From e64a9014bcd7b7145d2adba311b017aa111bb538 Mon Sep 17 00:00:00 2001 From: yves Date: Sat, 1 Dec 2018 13:22:22 +0100 Subject: [PATCH] Initial commit. --- .gitignore | 114 + README.md | 58 + code/a_dates/a_dates_times.ipynb | 1792 + code/b_bsm/b_bsm_option_class.ipynb | 260 + code/b_bsm/bsm_option_class.py | 74 + code/ch01/01_why_python.ipynb | 653 + code/ch01/bsm_mcs_euro.py | 29 + code/ch02/Docker/Dockerfile | 29 + code/ch02/Docker/install.sh | 28 + code/ch02/cloud/cert.key | 16 + code/ch02/cloud/cert.pem | 15 + code/ch02/cloud/install.sh | 58 + code/ch02/cloud/jupyter_notebook_config.py | 25 + code/ch02/cloud/reset_droplet.sh | 27 + code/ch02/cloud/setup.sh | 20 + code/ch03/03_data_structures.ipynb | 3103 + code/ch04/04_numpy.ipynb | 3394 + code/ch05/05_pandas.ipynb | 6584 + code/ch06/06_object_orientation.ipynb | 2191 + code/ch07/07_visualization.ipynb | 1488 + code/ch08/08_financial_time_series.ipynb | 3136 + code/ch09/09_input_output.ipynb | 4699 + code/ch10/10_performance_python.ipynb | 6342 + code/ch11/11_math_tools.ipynb | 2687 + code/ch12/12_stochastics.ipynb | 2648 + code/ch12/bsm_functions.py | 107 + code/ch13/13_a_statistics.ipynb | 2348 + code/ch13/13_b_statistics.ipynb | 1191 + code/ch13/13_c_machine_learning.ipynb | 1851 + code/ch14/14_trading_platform.ipynb | 1888 + code/ch15/15_trading_strategies_a.ipynb | 1025 + code/ch15/15_trading_strategies_b.ipynb | 2875 + code/ch16/16_automated_trading.ipynb | 2183 + code/ch16/strategy_monitoring.py | 22 + code/ch17/17_dx_analytics.ipynb | 2585 + code/ch21/21_market_valuation.ipynb | 1891 + images/placeholder.txt | 1 + py4fi2nd.yml | 169 + source/fxcm_eur_usd_eod_data.csv | 1548 + source/fxcm_eur_usd_tick_data.csv | 461358 ++++++++++++++++++ source/tr_eikon_aapl_tick.csv | 14986 + source/tr_eikon_eod_data.csv | 2217 + source/tr_eikon_eod_data_rounded.csv | 2217 + source/tr_eikon_option_data.csv | 116 + 44 files changed, 540048 insertions(+) create mode 100644 .gitignore create mode 100644 README.md create mode 100644 code/a_dates/a_dates_times.ipynb create mode 100644 code/b_bsm/b_bsm_option_class.ipynb create mode 100755 code/b_bsm/bsm_option_class.py create mode 100644 code/ch01/01_why_python.ipynb create mode 100755 code/ch01/bsm_mcs_euro.py create mode 100644 code/ch02/Docker/Dockerfile create mode 100644 code/ch02/Docker/install.sh create mode 100644 code/ch02/cloud/cert.key create mode 100644 code/ch02/cloud/cert.pem create mode 100644 code/ch02/cloud/install.sh create mode 100644 code/ch02/cloud/jupyter_notebook_config.py create mode 100644 code/ch02/cloud/reset_droplet.sh create mode 100644 code/ch02/cloud/setup.sh create mode 100644 code/ch03/03_data_structures.ipynb create mode 100644 code/ch04/04_numpy.ipynb create mode 100644 code/ch05/05_pandas.ipynb create mode 100644 code/ch06/06_object_orientation.ipynb create mode 100644 code/ch07/07_visualization.ipynb create mode 100644 code/ch08/08_financial_time_series.ipynb create mode 100644 code/ch09/09_input_output.ipynb create mode 100644 code/ch10/10_performance_python.ipynb create mode 100644 code/ch11/11_math_tools.ipynb create mode 100644 code/ch12/12_stochastics.ipynb create mode 100644 code/ch12/bsm_functions.py create mode 100644 code/ch13/13_a_statistics.ipynb create mode 100644 code/ch13/13_b_statistics.ipynb create mode 100644 code/ch13/13_c_machine_learning.ipynb create mode 100644 code/ch14/14_trading_platform.ipynb create mode 100644 code/ch15/15_trading_strategies_a.ipynb create mode 100644 code/ch15/15_trading_strategies_b.ipynb create mode 100644 code/ch16/16_automated_trading.ipynb create mode 100644 code/ch16/strategy_monitoring.py create mode 100644 code/ch17/17_dx_analytics.ipynb create mode 100644 code/ch21/21_market_valuation.ipynb create mode 100644 images/placeholder.txt create mode 100644 py4fi2nd.yml create mode 100644 source/fxcm_eur_usd_eod_data.csv create mode 100644 source/fxcm_eur_usd_tick_data.csv create mode 100644 source/tr_eikon_aapl_tick.csv create mode 100644 source/tr_eikon_eod_data.csv create mode 100644 source/tr_eikon_eod_data_rounded.csv create mode 100755 source/tr_eikon_option_data.csv diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..99d8ceb --- /dev/null +++ b/.gitignore @@ -0,0 +1,114 @@ +# Specifics +dx/ +*.swp +_build/ +cfg/ +*.ipynb~ +*.txt~ +*.log +*.apy + +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +.hypothesis/ +.pytest_cache/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# pyenv +.python-version + +# celery beat schedule file +celerybeat-schedule + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ diff --git a/README.md b/README.md new file mode 100644 index 0000000..4c96a80 --- /dev/null +++ b/README.md @@ -0,0 +1,58 @@ +# Python for Finance (2nd ed., O'Reilly) + +This repository provides all Python codes and Jupyter Notebooks of the book _Python for Finance -- Mastering Data-Driven Finance_ (2nd edition) by Yves Hilpisch. + + + +Visit the book page of O'Reilly under http://bit.ly/python-finance-2e or order the book under https://www.amazon.com/Python-Finance-Mastering-Data-Driven/dp/1492024333/. + +The codes of the book are based on Python 3.7. The codes presented in this Github repository are tested for Python 3.6 since at the time of creating it, `TensorFlow` was not yet compatible with Python 3.7. Once this has happened, appropriate changes (e.g. to the `conda` `yaml` file, see below) will be made. + +## Python Packages + +There is a `yaml` file for the installation of required Python packages in the repository. This is to be used with the `conda` package manager (see https://conda.io/docs/user-guide/tasks/manage-environments.html). If you do not have Miniconda or Anaconda installed, we recommend to install **Miniconda 3.7** first (see https://conda.io/miniconda.html). + +After you have cloned the repository, do on the shell/Anaconda prompt: + + cd py4fi2nd + conda env create -f py4fi2nd.yml + source activate py4fi2nd + jupyter notebook + +Then you can navigate to the Jupyter Notebook files and get started. + + +## Quant Platform + +You can immediately use all codes and Jupyter Notebooks by registering on the Quant Platform under http://py4fi.pqp.io. + +## Python for Finance Training & University Certificate + + + +Check out our **Python for Finance & Algorithmic Trading online trainings** under http://training.tpq.io. + +Check out also our **University Certificate Program in Python for Algorithmic Trading** under http://certificate.tpq.io. + +## Company Information + +© Dr. Yves J. Hilpisch \| The Python Quants GmbH + +The Quant Platform (http://pqp.io) and all codes/Jupyter notebooks come with no representations or warranties, to the extent permitted by applicable law. + +http://tpq.io \| pff@tpq.io \| +http://twitter.com/dyjh + +**Quant Platform** \| http://pqp.io + +**Derivatives Analytics with Python (Wiley Finance)** \| +http://dawp.tpq.io + +**Python for Finance (O'Reilly)** \| +http://pff.tpq.io + +**Python for Finance Online Training** \| +http://training.tpq.io + +**University Certificate in Python for Algorithmic Trading** \| +http://certificate.tpq.io diff --git a/code/a_dates/a_dates_times.ipynb b/code/a_dates/a_dates_times.ipynb new file mode 100644 index 0000000..84e70b8 --- /dev/null +++ b/code/a_dates/a_dates_times.ipynb @@ -0,0 +1,1792 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix: Dates and Times" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import mpl, plt\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Python" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import datetime as dt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 13, 10, 6, 829393)" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.now() " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 13, 10, 6, 836847)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "to = dt.datetime.today() \n", + "to" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(to)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.today().weekday() " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 10, 5, 30, 500000)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d = dt.datetime(2020, 10, 31, 10, 5, 30, 500000) \n", + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'2020-10-31 10:05:30.500000'" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "str(d) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2020-10-31 10:05:30.500000\n" + ] + } + ], + "source": [ + "print(d) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2020" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.year " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.month " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "31" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.day " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.hour " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "737729" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "o = d.toordinal() \n", + "o" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 0, 0)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.fromordinal(o) " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.time(10, 5, 30, 500000)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t = dt.datetime.time(d) \n", + "t" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.time" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.date(2020, 10, 31)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dd = dt.datetime.date(d) \n", + "dd" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 10, 5)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.replace(second=0, microsecond=0) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.timedelta(699, 75323, 551256)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "td = d - dt.datetime.now() \n", + "td" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.timedelta" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(td) " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "699" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "td.days" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "75323" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "td.seconds" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "551256" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "td.microseconds" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "60468923.551256" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "td.total_seconds() " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'2020-10-31T10:05:30.500000'" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.isoformat() " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Saturday, 31. October 2020 10:05AM'" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.strftime('%A, %d. %B %Y %I:%M%p') " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2017, 3, 31, 0, 0)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.strptime('2017-03-31', '%Y-%m-%d') " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2016, 4, 30, 0, 0)" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.strptime('30-4-16', '%d-%m-%y') " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'2020-10-31 10:05:30.500000'" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ds = str(d)\n", + "ds" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 10, 5, 30, 500000)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.strptime(ds, '%Y-%m-%d %H:%M:%S.%f') " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 13, 10, 7, 17539)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.now()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 12, 10, 7, 22930)" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.utcnow() " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.timedelta(0, 3599, 999997)" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt.datetime.now() - dt.datetime.utcnow() " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "class UTC(dt.tzinfo):\n", + " def utcoffset(self, d):\n", + " return dt.timedelta(hours=0) \n", + " def dst(self, d):\n", + " return dt.timedelta(hours=0) \n", + " def tzname(self, d):\n", + " return 'UTC'" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "u = dt.datetime.utcnow()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 12, 10, 7, 38722)" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "u = u.replace(tzinfo=UTC()) " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 12, 10, 7, 38722, tzinfo=<__main__.UTC object at 0x113d331d0>)" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "class CEST(dt.tzinfo):\n", + " def utcoffset(self, d):\n", + " return dt.timedelta(hours=2) \n", + " def dst(self, d):\n", + " return dt.timedelta(hours=1) \n", + " def tzname(self, d):\n", + " return 'CEST'" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 14, 10, 7, 38722, tzinfo=<__main__.CEST object at 0x113d33b38>)" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c = u.astimezone(CEST()) \n", + "c" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 13, 10, 7, 38722, tzinfo=<__main__.CEST object at 0x113d33b38>)" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c - c.dst() " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "import pytz" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'United States'" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pytz.country_names['US'] " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Europe/Brussels']" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pytz.country_timezones['BE'] " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Pacific/Wake',\n", + " 'Pacific/Wallis',\n", + " 'US/Alaska',\n", + " 'US/Arizona',\n", + " 'US/Central',\n", + " 'US/Eastern',\n", + " 'US/Hawaii',\n", + " 'US/Mountain',\n", + " 'US/Pacific',\n", + " 'UTC']" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pytz.common_timezones[-10:] " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "u = dt.datetime.utcnow()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "u = u.replace(tzinfo=pytz.utc) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 12, 10, 7, 164075, tzinfo=)" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 13, 10, 7, 164075, tzinfo=)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u.astimezone(pytz.timezone('CET')) " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 12, 10, 7, 164075, tzinfo=)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u.astimezone(pytz.timezone('GMT')) " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2018, 12, 1, 6, 10, 7, 164075, tzinfo=)" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u.astimezone(pytz.timezone('US/Central')) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## NumPy" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.datetime64('2020-10-31')" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nd = np.datetime64('2020-10-31') \n", + "nd" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'2020-10-31'" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.datetime_as_string(nd) " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "('D', 1)" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.datetime_data(nd) " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 10, 5, 30, 500000)" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.datetime64('2020-10-31T10:05:30.500000')" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nd = np.datetime64(d) \n", + "nd" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 10, 31, 10, 5, 30, 500000)" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nd.astype(dt.datetime) " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.datetime64('2020-10-01')" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nd = np.datetime64('2020-10', 'D')\n", + "nd" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.datetime64('2020-10') == np.datetime64('2020-10-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-06-10', '2020-07-10', '2020-08-10'], dtype='datetime64[D]')" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(['2020-06-10', '2020-07-10', '2020-08-10'], dtype='datetime64')" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-06-10T12:00:00', '2020-07-10T12:00:00',\n", + " '2020-08-10T12:00:00'], dtype='datetime64[s]')" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(['2020-06-10T12:00:00', '2020-07-10T12:00:00',\n", + " '2020-08-10T12:00:00'], dtype='datetime64[s]')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-01-01', '2020-01-02', '2020-01-03'], dtype='datetime64[D]')" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange('2020-01-01', '2020-01-04', dtype='datetime64') " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-01', '2020-02', '2020-03', '2020-04', '2020-05', '2020-06',\n", + " '2020-07', '2020-08', '2020-09'], dtype='datetime64[M]')" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange('2020-01-01', '2020-10-01', dtype='datetime64[M]') " + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2019-12-26', '2020-01-02', '2020-01-09', '2020-01-16',\n", + " '2020-01-23', '2020-01-30', '2020-02-06', '2020-02-13',\n", + " '2020-02-20', '2020-02-27'], dtype='datetime64[W]')" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange('2020-01-01', '2020-10-01', dtype='datetime64[W]')[:10] " + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-01-01T00', '2020-01-01T01', '2020-01-01T02', '2020-01-01T03',\n", + " '2020-01-01T04', '2020-01-01T05', '2020-01-01T06', '2020-01-01T07',\n", + " '2020-01-01T08', '2020-01-01T09'], dtype='datetime64[h]')" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dtl = np.arange('2020-01-01T00:00:00', '2020-01-02T00:00:00',\n", + " dtype='datetime64[h]') \n", + "dtl[:10]" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-01-01T00:00:00', '2020-01-01T00:00:01',\n", + " '2020-01-01T00:00:02', '2020-01-01T00:00:03',\n", + " '2020-01-01T00:00:04', '2020-01-01T00:00:05',\n", + " '2020-01-01T00:00:06', '2020-01-01T00:00:07',\n", + " '2020-01-01T00:00:08', '2020-01-01T00:00:09'],\n", + " dtype='datetime64[s]')" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange('2020-01-01T00:00:00', '2020-01-02T00:00:00',\n", + " dtype='datetime64[s]')[:10] " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['2020-01-01T00:00:00.000', '2020-01-01T00:00:00.001',\n", + " '2020-01-01T00:00:00.002', '2020-01-01T00:00:00.003',\n", + " '2020-01-01T00:00:00.004', '2020-01-01T00:00:00.005',\n", + " '2020-01-01T00:00:00.006', '2020-01-01T00:00:00.007',\n", + " '2020-01-01T00:00:00.008', '2020-01-01T00:00:00.009'],\n", + " dtype='datetime64[ms]')" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange('2020-01-01T00:00:00', '2020-01-02T00:00:00',\n", + " dtype='datetime64[ms]')[:10] " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(3000)\n", + "rnd = np.random.standard_normal(len(dtl)).cumsum() ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 6))\n", + "plt.plot(dtl.astype(dt.datetime), rnd) \n", + "fig.autofmt_xdate(); \n", + "# plt.savefig('../../images/a_dates/dt_01.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## pandas" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2020-06-30 00:00:00')" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ts = pd.Timestamp('2020-06-30') \n", + "ts" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2020, 6, 30, 0, 0)" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d = ts.to_pydatetime() \n", + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2020-06-30 00:00:00')" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Timestamp(d) " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2020-10-01 00:00:00')" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Timestamp(nd) " + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-31', '2020-02-29', '2020-03-31', '2020-04-30',\n", + " '2020-05-31', '2020-06-30', '2020-07-31', '2020-08-31',\n", + " '2020-09-30', '2020-10-31', '2020-11-30', '2020-12-31'],\n", + " dtype='datetime64[ns]', freq='M')" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dti = pd.date_range('2020/01/01', freq='M', periods=12) \n", + "dti" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2020-07-31 00:00:00', freq='M')" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dti[6]" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([datetime.datetime(2020, 1, 31, 0, 0),\n", + " datetime.datetime(2020, 2, 29, 0, 0),\n", + " datetime.datetime(2020, 3, 31, 0, 0),\n", + " datetime.datetime(2020, 4, 30, 0, 0),\n", + " datetime.datetime(2020, 5, 31, 0, 0),\n", + " datetime.datetime(2020, 6, 30, 0, 0),\n", + " datetime.datetime(2020, 7, 31, 0, 0),\n", + " datetime.datetime(2020, 8, 31, 0, 0),\n", + " datetime.datetime(2020, 9, 30, 0, 0),\n", + " datetime.datetime(2020, 10, 31, 0, 0),\n", + " datetime.datetime(2020, 11, 30, 0, 0),\n", + " datetime.datetime(2020, 12, 31, 0, 0)], dtype=object)" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pdi = dti.to_pydatetime() \n", + "pdi" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-31', '2020-02-29', '2020-03-31', '2020-04-30',\n", + " '2020-05-31', '2020-06-30', '2020-07-31', '2020-08-31',\n", + " '2020-09-30', '2020-10-31', '2020-11-30', '2020-12-31'],\n", + " dtype='datetime64[ns]', freq=None)" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DatetimeIndex(pdi) " + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-01 00:00:00', '2020-01-01 01:00:00',\n", + " '2020-01-01 02:00:00', '2020-01-01 03:00:00',\n", + " '2020-01-01 04:00:00', '2020-01-01 05:00:00',\n", + " '2020-01-01 06:00:00', '2020-01-01 07:00:00',\n", + " '2020-01-01 08:00:00', '2020-01-01 09:00:00',\n", + " '2020-01-01 10:00:00', '2020-01-01 11:00:00',\n", + " '2020-01-01 12:00:00', '2020-01-01 13:00:00',\n", + " '2020-01-01 14:00:00', '2020-01-01 15:00:00',\n", + " '2020-01-01 16:00:00', '2020-01-01 17:00:00',\n", + " '2020-01-01 18:00:00', '2020-01-01 19:00:00',\n", + " '2020-01-01 20:00:00', '2020-01-01 21:00:00',\n", + " '2020-01-01 22:00:00', '2020-01-01 23:00:00'],\n", + " dtype='datetime64[ns]', freq=None)" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DatetimeIndex(dtl) " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "rnd = np.random.standard_normal(len(dti)).cumsum() ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(rnd, columns=['data'], index=dti)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/a_dates/dt_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-31 00:00:00+01:00', '2020-02-29 00:00:00+01:00',\n", + " '2020-03-31 00:00:00+02:00', '2020-04-30 00:00:00+02:00',\n", + " '2020-05-31 00:00:00+02:00', '2020-06-30 00:00:00+02:00',\n", + " '2020-07-31 00:00:00+02:00', '2020-08-31 00:00:00+02:00',\n", + " '2020-09-30 00:00:00+02:00', '2020-10-31 00:00:00+01:00',\n", + " '2020-11-30 00:00:00+01:00', '2020-12-31 00:00:00+01:00'],\n", + " dtype='datetime64[ns, CET]', freq='M')" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.date_range('2020/01/01', freq='M', periods=12, tz=pytz.timezone('CET'))" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-31 00:00:00-05:00', '2020-02-29 00:00:00-05:00',\n", + " '2020-03-31 00:00:00-04:00', '2020-04-30 00:00:00-04:00',\n", + " '2020-05-31 00:00:00-04:00', '2020-06-30 00:00:00-04:00',\n", + " '2020-07-31 00:00:00-04:00', '2020-08-31 00:00:00-04:00',\n", + " '2020-09-30 00:00:00-04:00', '2020-10-31 00:00:00-04:00',\n", + " '2020-11-30 00:00:00-05:00', '2020-12-31 00:00:00-05:00'],\n", + " dtype='datetime64[ns, US/Eastern]', freq='M')" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dti = pd.date_range('2020/01/01', freq='M', periods=12, tz='US/Eastern')\n", + "dti" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2020-01-31 05:00:00+00:00', '2020-02-29 05:00:00+00:00',\n", + " '2020-03-31 04:00:00+00:00', '2020-04-30 04:00:00+00:00',\n", + " '2020-05-31 04:00:00+00:00', '2020-06-30 04:00:00+00:00',\n", + " '2020-07-31 04:00:00+00:00', '2020-08-31 04:00:00+00:00',\n", + " '2020-09-30 04:00:00+00:00', '2020-10-31 04:00:00+00:00',\n", + " '2020-11-30 05:00:00+00:00', '2020-12-31 05:00:00+00:00'],\n", + " dtype='datetime64[ns, GMT]', freq='M')" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dti.tz_convert('GMT')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/b_bsm/b_bsm_option_class.ipynb b/code/b_bsm/b_bsm_option_class.ipynb new file mode 100644 index 0000000..0086ea7 --- /dev/null +++ b/code/b_bsm/b_bsm_option_class.ipynb @@ -0,0 +1,260 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix: BSM Option Class" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from bsm_option_class import *" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "uuid": "6fbac054-7632-4b1a-905a-1e7617ab1353" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "bsm_option_class.bsm_call_option" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "o = bsm_call_option(100., 105., 1.0, 0.05, 0.2)\n", + "type(o)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "29db884c-ae9d-44fc-ac14-ac7f42842d58" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8.021352235143176" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "value = o.value()\n", + "value" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "ad80b6ae-ba85-4e77-bc51-d539888e3ad1" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "39.67052380842653" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "o.vega()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "498adc88-13d0-4440-adbd-d4214e9529dc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.2" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "o.imp_vol(C0=value)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "a3bd9b68-82cc-45e5-8c29-407a98ad1aec" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "maturities = np.linspace(0.05, 2.0, 20)\n", + "strikes = np.linspace(80, 120, 20)\n", + "T, K = np.meshgrid(strikes, maturities)\n", + "C = np.zeros_like(K)\n", + "V = np.zeros_like(C)\n", + "for t in enumerate(maturities):\n", + " for k in enumerate(strikes):\n", + " o.T = t[1]\n", + " o.K = k[1]\n", + " C[t[0], k[0]] = o.value()\n", + " V[t[0], k[0]] = o.vega()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "4beed5a6-ed44-4fd3-aaf0-6bc4be2b1c83" + }, + "outputs": [], + "source": [ + "from pylab import cm, mpl, plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "aae2d996-fa8e-469d-8ffa-f0a5684160a7" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 7))\n", + "ax = fig.gca(projection='3d')\n", + "surf = ax.plot_surface(T, K, C, rstride=1, cstride=1,\n", + " cmap=cm.coolwarm, linewidth=0.5, antialiased=True)\n", + "ax.set_xlabel('strike')\n", + "ax.set_ylabel('maturity')\n", + "ax.set_zlabel('European call option value')\n", + "fig.colorbar(surf, shrink=0.5, aspect=5);\n", + "# plt.savefig('../../images/b_bsm/bsm_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "a0fc3738-180b-4be7-9c31-460b3d015194" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 7))\n", + "ax = fig.gca(projection='3d')\n", + "surf = ax.plot_surface(T, K, V, rstride=1, cstride=1,\n", + " cmap=cm.coolwarm, linewidth=0.5, antialiased=True)\n", + "ax.set_xlabel('strike')\n", + "ax.set_ylabel('maturity')\n", + "ax.set_zlabel('Vega of European call option')\n", + "fig.colorbar(surf, shrink=0.5, aspect=5);\n", + "# plt.savefig('../../images/b_bsm/bsm_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/b_bsm/bsm_option_class.py b/code/b_bsm/bsm_option_class.py new file mode 100755 index 0000000..a7d9be0 --- /dev/null +++ b/code/b_bsm/bsm_option_class.py @@ -0,0 +1,74 @@ +# +# Valuation of European call options in Black-Scholes-Merton Model +# incl. Vega function and implied volatility estimation +# -- class-based implementation +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +from math import log, sqrt, exp +from scipy import stats + + +class bsm_call_option(object): + ''' Class for European call options in BSM model. + + Attributes + ========== + S0: float + initial stock/index level + K: float + strike price + T: float + maturity (in year fractions) + r: float + constant risk-free short rate + sigma: float + volatility factor in diffusion term + + Methods + ======= + value: float + returns the present value of call option + vega: float + returns the Vega of call option + imp_vol: float + returns the implied volatility given option quote + ''' + + def __init__(self, S0, K, T, r, sigma): + self.S0 = float(S0) + self.K = K + self.T = T + self.r = r + self.sigma = sigma + + def value(self): + ''' Returns option value. + ''' + d1 = ((log(self.S0 / self.K) + + (self.r + 0.5 * self.sigma ** 2) * self.T) / + (self.sigma * sqrt(self.T))) + d2 = ((log(self.S0 / self.K) + + (self.r - 0.5 * self.sigma ** 2) * self.T) / + (self.sigma * sqrt(self.T))) + value = (self.S0 * stats.norm.cdf(d1, 0.0, 1.0) - + self.K * exp(-self.r * self.T) * stats.norm.cdf(d2, 0.0, 1.0)) + return value + + def vega(self): + ''' Returns Vega of option. + ''' + d1 = ((log(self.S0 / self.K) + + (self.r + 0.5 * self.sigma ** 2) * self.T) / + (self.sigma * sqrt(self.T))) + vega = self.S0 * stats.norm.pdf(d1, 0.0, 1.0) * sqrt(self.T) + return vega + + def imp_vol(self, C0, sigma_est=0.2, it=100): + ''' Returns implied volatility given option price. + ''' + option = bsm_call_option(self.S0, self.K, self.T, self.r, sigma_est) + for i in range(it): + option.sigma -= (option.value() - C0) / option.vega() + return option.sigma diff --git a/code/ch01/01_why_python.ipynb b/code/ch01/01_why_python.ipynb new file mode 100644 index 0000000..0037ab1 --- /dev/null +++ b/code/ch01/01_why_python.ipynb @@ -0,0 +1,653 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Why Python for Finance?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Zen of Python" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Zen of Python, by Tim Peters\n", + "\n", + "Beautiful is better than ugly.\n", + "Explicit is better than implicit.\n", + "Simple is better than complex.\n", + "Complex is better than complicated.\n", + "Flat is better than nested.\n", + "Sparse is better than dense.\n", + "Readability counts.\n", + "Special cases aren't special enough to break the rules.\n", + "Although practicality beats purity.\n", + "Errors should never pass silently.\n", + "Unless explicitly silenced.\n", + "In the face of ambiguity, refuse the temptation to guess.\n", + "There should be one-- and preferably only one --obvious way to do it.\n", + "Although that way may not be obvious at first unless you're Dutch.\n", + "Now is better than never.\n", + "Although never is often better than *right* now.\n", + "If the implementation is hard to explain, it's a bad idea.\n", + "If the implementation is easy to explain, it may be a good idea.\n", + "Namespaces are one honking great idea -- let's do more of those!\n" + ] + } + ], + "source": [ + "import this" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Python Ecosystem" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "300.0" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "100 * 2.5 + 50" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# causes intentional error\n", + "# log(1) " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import math " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "math.log(1) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Finance and Python Syntax" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "import math\n", + "import numpy as np " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "1447b7bb-ed26-4c0f-9e0f-222dfd5d0c9b" + }, + "outputs": [], + "source": [ + "S0 = 100. \n", + "K = 105. # <2\n", + "T = 1.0 \n", + "r = 0.05 \n", + "sigma = 0.2 " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "I = 100000 " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "np.random.seed(1000) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "z = np.random.standard_normal(I) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "ST = S0 * np.exp((r - sigma ** 2 / 2) * T + sigma * math.sqrt(T) * z) " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "hT = np.maximum(ST - K, 0) " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "a95c7301-39f7-4d51-937a-334f051c2d9e" + }, + "outputs": [], + "source": [ + "C0 = math.exp(-r * T) * np.mean(hT) " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "84aab05d-40de-4ef1-b3a8-eb08f86e1662" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value of the European call option: 8.019.\n" + ] + } + ], + "source": [ + "print('Value of the European call option: {:5.3f}.'.format(C0)) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value of the European call option 7.989.\n" + ] + } + ], + "source": [ + "%run bsm_mcs_euro.py" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Time-to-Results" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "e16924db-8402-4bcb-a9c7-d5753346c72a" + }, + "outputs": [], + "source": [ + "import numpy as np \n", + "import pandas as pd \n", + "from pylab import plt, mpl " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn') \n", + "mpl.rcParams['font.family'] = 'serif' \n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "22071d72-094b-4b51-aa39-cfa793d58623" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 2138 entries, 2010-01-04 to 2018-06-29\n", + "Data columns (total 1 columns):\n", + ".SPX 2138 non-null float64\n", + "dtypes: float64(1)\n", + "memory usage: 33.4 KB\n" + ] + } + ], + "source": [ + "data = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True) \n", + "data = pd.DataFrame(data['.SPX']) \n", + "data.dropna(inplace=True) \n", + "data.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "304b2f50-5b81-4e88-8fa7-ea69995cf2fe" + }, + "outputs": [], + "source": [ + "data['rets'] = np.log(data / data.shift(1)) \n", + "data['vola'] = data['rets'].rolling(252).std() * np.sqrt(252) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "b4e61939-c7fe-4a1e-a8c9-6fd755edcf86" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['.SPX', 'vola']].plot(subplots=True, figsize=(10, 6)); \n", + "# plt.savefig('../../images/ch01/spx_volatility.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Idioms & Paradigms" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "beca497d-4c20-4240-b003-4c79c26154be" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.26 s ± 24.4 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "import math\n", + "loops = 2500000\n", + "a = range(1, loops)\n", + "def f(x):\n", + " return 3 * math.log(x) + math.cos(x) ** 2\n", + "%timeit r = [f(x) for x in a]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "931fd1fc-cc54-4045-802f-acb8f094a23f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "77.3 ms ± 1.17 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "a = np.arange(1, loops)\n", + "%timeit r = 3 * np.log(a) + np.cos(a) ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "8d1602b3-a490-4d1a-97d9-112825d86185" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "36.4 ms ± 233 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "import numexpr as ne\n", + "ne.set_num_threads(1)\n", + "f = '3 * log(a) + cos(a) ** 2'\n", + "%timeit r = ne.evaluate(f)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "6994f16a-1802-4abe-851d-a48e0ead154d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "12.9 ms ± 443 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + } + ], + "source": [ + "ne.set_num_threads(4)\n", + "%timeit r = ne.evaluate(f)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Data-Driven & AI-First Finance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data-Driven Finance " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**This sub-section requires a Eikon license. Therefore no code is provided.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### AI-First Finance " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True)\n", + "data = pd.DataFrame(data['AAPL.O']) \n", + "data['Returns'] = np.log(data / data.shift()) \n", + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "lags = 6" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "cols = []\n", + "for lag in range(1, lags + 1):\n", + " col = 'lag_{}'.format(lag)\n", + " data[col] = np.sign(data['Returns'].shift(lag)) \n", + " cols.append(col)\n", + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.svm import SVC" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "model = SVC(gamma='scale') " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='scale', kernel='rbf',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(data[cols], np.sign(data['Returns'])) " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "data['Prediction'] = model.predict(data[cols]) " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "data['Strategy'] = data['Prediction'] * data['Returns'] " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6)); \n", + "# plt.savefig('../../images/ch01/AAPL_trading_strategy.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch01/bsm_mcs_euro.py b/code/ch01/bsm_mcs_euro.py new file mode 100755 index 0000000..bac817d --- /dev/null +++ b/code/ch01/bsm_mcs_euro.py @@ -0,0 +1,29 @@ +# +# Monte Carlo valuation of European call option +# in Black-Scholes-Merton model +# bsm_mcs_euro.py +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +import math +import numpy as np + +# Parameter Values +S0 = 100. # initial index level +K = 105. # strike price +T = 1.0 # time-to-maturity +r = 0.05 # riskless short rate +sigma = 0.2 # volatility + +I = 100000 # number of simulations + +# Valuation Algorithm +z = np.random.standard_normal(I) # pseudo-random numbers +# index values at maturity +ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T + sigma * math.sqrt(T) * z) +hT = np.maximum(ST - K, 0) # payoff at maturity +C0 = math.exp(-r * T) * np.mean(hT) # Monte Carlo estimator + +# Result Output +print('Value of the European call option %5.3f.' % C0) diff --git a/code/ch02/Docker/Dockerfile b/code/ch02/Docker/Dockerfile new file mode 100644 index 0000000..4f3d536 --- /dev/null +++ b/code/ch02/Docker/Dockerfile @@ -0,0 +1,29 @@ +# +# Building a Docker Image with +# the Latest Ubuntu Version and +# Basic Python Install +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# + +# latest Ubuntu version +FROM ubuntu:latest + +# information about maintainer +MAINTAINER yves + +# add the bash script +ADD install.sh / + +# change rights for the script +RUN chmod u+x /install.sh + +# run the bash script +RUN /install.sh + +# prepend the new path +ENV PATH /root/miniconda3/bin:$PATH + +# execute IPython when container is run +CMD ["ipython"] diff --git a/code/ch02/Docker/install.sh b/code/ch02/Docker/install.sh new file mode 100644 index 0000000..087127a --- /dev/null +++ b/code/ch02/Docker/install.sh @@ -0,0 +1,28 @@ +#!/bin/bash +# +# Script to Install +# Linux System Tools and +# Basic Python Components +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +# GENERAL LINUX +apt-get update # updates the package index cache +apt-get upgrade -y # updates packages +# installs system tools +apt-get install -y bzip2 gcc git htop screen vim wget +apt-get upgrade -y bash # upgrades bash if necessary +apt-get clean # cleans up the package index cache + +# INSTALL MINICONDA +# downloads Miniconda +wget https://repo.continuum.io/miniconda/Miniconda3-latest-Linux-x86_64.sh -O Miniconda.sh +bash Miniconda.sh -b # installs it +rm -rf Miniconda.sh # removes the installer +export PATH="/root/miniconda3/bin:$PATH" # prepends the new path + +# INSTALL PYTHON LIBRARIES +conda update -y conda python # updates conda & Python (if required) +conda install -y pandas # installs pandas +conda install -y ipython # installs IPython shell diff --git a/code/ch02/cloud/cert.key b/code/ch02/cloud/cert.key new file mode 100644 index 0000000..ea7a8fa --- /dev/null +++ b/code/ch02/cloud/cert.key @@ -0,0 +1,16 @@ +-----BEGIN PRIVATE KEY----- +MIICdgIBADANBgkqhkiG9w0BAQEFAASCAmAwggJcAgEAAoGBAPBpZvP7sIjdHVBv +ICqCwgHFUKFaei0n6JZmAa9hQFoA2SgTRoeKMMPzheLgS9REVsWQdej2akM9DnA/ +41G35PzvZ9ePHUTkez9x3CXvsg84YYNJVG7hFr9nIjq0sb2Z1Ixz1c1ooWNBbMYv +f54nz8NxzikprA9u203QqzYfPmA5AgMBAAECgYEAqrHry2f1G/gDDE0ahZR5s1Ap +w6a+ALnJRp/+qkteqYjYpr+o4CuaHEcX1NJ0hK5Q/c1oKpRrNnpvefuipy7ugdgO +BFxrWT56Vub77zn8WRqb9vZPwgmHgwbcIPmMcd6u+Ji8uR8cBj+slaP35+u0n02l +HDOHIXLjtoqTy99+HgECQQD9DnaWPWX/fbkeWH7kib6WDEaFaVKR9NgLkdPjAF+L +7Cw/i90kuejJvX6B52mw3F+nlkp3nTf8U/i+YWZABORxAkEA8zVJPGRAde0wOuVC +tL2nuBHB2OXC2J6h+wbc379BsWNq1b4DCaAEKbj6QbX664846Ld/I/HPUN/gxvg+ +MZr8SQJACuxt6Axcc8vsisfNKnZbuMRs4uNqAgzsqosv91OTzEl0m4WhFS3FQ7gf +VuIzaMQKiQRu0H0D5quFSEqSDF9psQJAI1vD4fvRQ1PQhz99izlngONUA2yj/0pQ +0mYVBpKPwnJpvdl6J5QUBtzVxWfnqwePhoXm/hrRwThLPaIpqJyXwQJAfy7vyaih +AV+Wxw8UfrMJejGyIB0h7YCwS3pz/47bDT0CYyb/7veaa+Ya+1buDoUYkCr7uAVV +quyTM5Z2rWwDRw== +-----END PRIVATE KEY----- diff --git a/code/ch02/cloud/cert.pem b/code/ch02/cloud/cert.pem new file mode 100644 index 0000000..9c75113 --- /dev/null +++ b/code/ch02/cloud/cert.pem @@ -0,0 +1,15 @@ +-----BEGIN CERTIFICATE----- +MIICWDCCAcGgAwIBAgIJAIQe8fWGWH2BMA0GCSqGSIb3DQEBCwUAMEUxCzAJBgNV +BAYTAkFVMRMwEQYDVQQIDApTb21lLVN0YXRlMSEwHwYDVQQKDBhJbnRlcm5ldCBX +aWRnaXRzIFB0eSBMdGQwHhcNMTgwNzIyMDc1OTQzWhcNMTkwNzIyMDc1OTQzWjBF +MQswCQYDVQQGEwJBVTETMBEGA1UECAwKU29tZS1TdGF0ZTEhMB8GA1UECgwYSW50 +ZXJuZXQgV2lkZ2l0cyBQdHkgTHRkMIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKB +gQDwaWbz+7CI3R1QbyAqgsIBxVChWnotJ+iWZgGvYUBaANkoE0aHijDD84Xi4EvU +RFbFkHXo9mpDPQ5wP+NRt+T872fXjx1E5Hs/cdwl77IPOGGDSVRu4Ra/ZyI6tLG9 +mdSMc9XNaKFjQWzGL3+eJ8/Dcc4pKawPbttN0Ks2Hz5gOQIDAQABo1AwTjAdBgNV +HQ4EFgQUCyKHjfOepcFOLkpHGKE2RjAvdaQwHwYDVR0jBBgwFoAUCyKHjfOepcFO +LkpHGKE2RjAvdaQwDAYDVR0TBAUwAwEB/zANBgkqhkiG9w0BAQsFAAOBgQDYvF2q +jVdEbhe2YePpK3RWNZYGnuBTKq1aWVm78bTDoDUjgv++xjJg4RuLimbZe0XenXi+ +aqE+9X1njIQJc3kO12jMHu5fZacT/qLYiYF9xL01GUkmvkJN28alA+JgIH3bjNtE +zggvu2k05QJjAgHKi1/abVTPUL5xhaTX5jfCYg== +-----END CERTIFICATE----- diff --git a/code/ch02/cloud/install.sh b/code/ch02/cloud/install.sh new file mode 100644 index 0000000..d404fc9 --- /dev/null +++ b/code/ch02/cloud/install.sh @@ -0,0 +1,58 @@ +#!/bin/bash +# +# Script to Install +# Linux System Tools, +# Basic Python Packages and +# Jupyter Notebook Server +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +# GENERAL LINUX +apt-get update # updates the package index cache +apt-get upgrade -y # updates packages +apt-get install -y bzip2 gcc git htop screen vim wget # installs system tools +apt-get upgrade -y bash # upgrades bash if necessary +apt-get clean # cleans up the package index cache + +# INSTALLING MINICONDA +wget https://repo.continuum.io/miniconda/Miniconda3-latest-Linux-x86_64.sh -O \ + Miniconda.sh +bash Miniconda.sh -b # installs Miniconda +rm Miniconda.sh # removes the installer +# prepends the new path for current session +export PATH="/root/miniconda3/bin:$PATH" +# prepends the new path in the shell configuration +echo ". /root/miniconda3/etc/profile.d/conda.sh" >> ~/.bashrc +echo "conda activate" >> ~/.bashrc + +# INSTALLING PYTHON LIBRARIES +# More packages can/must be added +# depending on the use case. +conda update -y conda # updates conda if required +conda create -y -n py4fi python=3.7 # creates an environment +source activate py4fi # activates the new environment +conda install -y jupyter # interactive data analytics in the browser +conda install -y pytables # wrapper for HDF5 binary storage +conda install -y pandas # data analysis package +conda install -y matplotlib # standard plotting library +conda install -y scikit-learn # machine learning library +conda install -y openpyxl # library for Excel interaction +conda install -y pyyaml # library to manage YAML files + +pip install --upgrade pip # upgrades the package manager +pip install cufflinks # combining plotly with pandas + +# COPYING FILES AND CREATING DIRECTORIES +mkdir /root/.jupyter +mv /root/jupyter_notebook_config.py /root/.jupyter/ +mv /root/cert.* /root/.jupyter +mkdir /root/notebook +cd /root/notebook + +# STARTING JUPYTER NOTEBOOK +jupyter notebook --allow-root + +# STARTING JUPYTER NOTEBOOK +# as background process: +# jupyter notebook --allow-root & diff --git a/code/ch02/cloud/jupyter_notebook_config.py b/code/ch02/cloud/jupyter_notebook_config.py new file mode 100644 index 0000000..410e577 --- /dev/null +++ b/code/ch02/cloud/jupyter_notebook_config.py @@ -0,0 +1,25 @@ +# +# Jupyter Notebook Configuration File +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +# SSL ENCRYPTION +# replace the following filenames (and files used) with your choice/files +c.NotebookApp.certfile = u'/root/.jupyter/cert.pem' +c.NotebookApp.keyfile = u'/root/.jupyter/cert.key' + +# IP ADDRESS AND PORT +# set ip to '0.0.0.0' to bind on all IP addresses of the cloud instance +c.NotebookApp.ip = '0.0.0.0' +# it is a good idea to set a known, fixed default port for server access +c.NotebookApp.port = 8888 + +# PASSWORD PROTECTION +# here: 'jupyter' as password +# replace the hash code with the one for your strong password +c.NotebookApp.password = 'sha1:d4d34232ac3a:55ea0ffd78cc3299e3e5e6ecc0d36be0935d424b' + +# NO BROWSER OPTION +# prevent Jupyter from trying to open a browser +c.NotebookApp.open_browser = False diff --git a/code/ch02/cloud/reset_droplet.sh b/code/ch02/cloud/reset_droplet.sh new file mode 100644 index 0000000..615e873 --- /dev/null +++ b/code/ch02/cloud/reset_droplet.sh @@ -0,0 +1,27 @@ +# +# Reset Droplet after +# Python Installation via Miniconda +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +# CAUTION +# This might delete also notebooks +# and other files that have been created +# after the Python installtion. +# +rm -rf /root/miniconda3/ +rm -rf /root/.jupyter +rm -rf /root/notebook +head -n -2 /root/.bashrc > /root/.bashrc_new +mv /root/.bashrc_new /root/.bashrc +rm install.sh +pkill -f jupyter + +# show Jupyter Notebook instances +# jupyter notebook list +# ... or ... +# ps aux | grep 'jupyter' + +# kill all Jupyter Notebook instances +# pkill -f jupyter \ No newline at end of file diff --git a/code/ch02/cloud/setup.sh b/code/ch02/cloud/setup.sh new file mode 100644 index 0000000..9e18585 --- /dev/null +++ b/code/ch02/cloud/setup.sh @@ -0,0 +1,20 @@ +#!/bin/bash +# +# Setting up a +# DigitalOcean Droplet +# with Basic Python Stack +# and Jupyter Notebook +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# + +# IP ADDRESS FROM PARAMETER +MASTER_IP=$1 + +# COPYING THE FILES +scp install.sh reset_droplet.sh root@${MASTER_IP}: +scp cert.* jupyter_notebook_config.py root@${MASTER_IP}: + +# EXECUTING THE INSTALLATION SCRIPT +ssh root@${MASTER_IP} bash /root/install.sh diff --git a/code/ch03/03_data_structures.ipynb b/code/ch03/03_data_structures.ipynb new file mode 100644 index 0000000..817a899 --- /dev/null +++ b/code/ch03/03_data_structures.ipynb @@ -0,0 +1,3103 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Data Types and Structures" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic Data Types" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Integers" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "16aa85ac-ab50-480b-bf7c-d49343bbe65a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "int" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = 10\n", + "type(a)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "uuid": "2128044d-a150-4ea6-9aa3-6d6efb93bcf8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a.bit_length()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "19c4eea7-f4b6-48ac-a265-a5b5d61a838f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "17" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = 100000\n", + "a.bit_length()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "34c9348e-fc24-4cb3-9f1e-538b517d16b7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "googol = 10 ** 100\n", + "googol" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "55230cf3-5d00-4958-8ae9-2407ae6c968f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "333" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "googol.bit_length()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "4f0ff5d0-e5aa-4825-8a0c-9db8297d8414" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 + 4" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "3b44359c-ea14-4273-b275-f38b946955cb" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.25" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 / 4" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "1ee18247-5627-481a-8180-ba4ce158ebaf" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "float" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(1 / 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Floats" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "3ba6e56a-a026-4eb7-ad01-0b7593ef5692" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1.6 / 4" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "37a1e7ff-5949-4f0e-b4de-6ac28ee69e31" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "float" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type (1.6 / 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "82d6e596-d9ec-49d9-85c4-6a8cb33b2a79" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "float" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b = 0.35\n", + "type(b)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "a3f371c1-9a9a-4d19-bfac-3dc119486abb" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.44999999999999996" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b + 0.1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "4cf2a3ed-6231-4672-9df1-03c60e3dfe7b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 2)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c = 0.5\n", + "c.as_integer_ratio()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "af99f61f-afdb-41f8-bbf8-5abd0e7c9890" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(3152519739159347, 9007199254740992)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b.as_integer_ratio()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "uuid": "5584d3cc-2cdb-4ce9-9ac7-25541dc6e9b8" + }, + "outputs": [], + "source": [ + "import decimal\n", + "from decimal import Decimal" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "40822f81-0da3-4d62-9e31-713d0068de2f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Context(prec=28, rounding=ROUND_HALF_EVEN, Emin=-999999, Emax=999999, capitals=1, clamp=0, flags=[], traps=[InvalidOperation, DivisionByZero, Overflow])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "decimal.getcontext()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "775a8fc7-380f-4444-b394-ccdb6d8e6ea9" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Decimal('0.09090909090909090909090909091')" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d = Decimal(1) / Decimal (11)\n", + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "2a184e95-cc99-4b25-9905-b6d9becb2670" + }, + "outputs": [], + "source": [ + "decimal.getcontext().prec = 4 " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "66cc3ae7-9a70-4612-b64c-a86fd481ef9d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Decimal('0.09091')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "e = Decimal(1) / Decimal (11)\n", + "e" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "6fa10fc7-4d21-4490-95a1-4a1be00f2c19" + }, + "outputs": [], + "source": [ + "decimal.getcontext().prec = 50 " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "a3515ac1-4029-4645-ade9-094b6e3e87cf" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Decimal('0.090909090909090909090909090909090909090909090909091')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f = Decimal(1) / Decimal (11)\n", + "f" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "17a5e733-475b-4a49-a320-9b67bd45ce2e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Decimal('0.27272818181818181818181818181909090909090909090909')" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g = d + e + f\n", + "g" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Boolean" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "import keyword" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['False',\n", + " 'None',\n", + " 'True',\n", + " 'and',\n", + " 'as',\n", + " 'assert',\n", + " 'break',\n", + " 'class',\n", + " 'continue',\n", + " 'def',\n", + " 'del',\n", + " 'elif',\n", + " 'else',\n", + " 'except',\n", + " 'finally',\n", + " 'for',\n", + " 'from',\n", + " 'global',\n", + " 'if',\n", + " 'import',\n", + " 'in',\n", + " 'is',\n", + " 'lambda',\n", + " 'nonlocal',\n", + " 'not',\n", + " 'or',\n", + " 'pass',\n", + " 'raise',\n", + " 'return',\n", + " 'try',\n", + " 'while',\n", + " 'with',\n", + " 'yield']" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "keyword.kwlist" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 > 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "bool" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(4 > 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "bool" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 >= 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 < 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 <= 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 == 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 != 3 " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True and True" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True and False" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "False and False" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True or True" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True or False" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "False or False" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "not True" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "not False" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(4 > 3) and (2 > 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(4 == 3) or (2 != 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "not (4 != 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(not (4 != 4)) and (2 == 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "condition true\n" + ] + } + ], + "source": [ + "if 4 > 3: \n", + " print('condition true') " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "condition true, i = 0\n", + "condition true, i = 1\n", + "condition true, i = 2\n", + "condition true, i = 3\n" + ] + } + ], + "source": [ + "i = 0 \n", + "while i < 4: \n", + " print('condition true, i = ', i) \n", + " i += 1 " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "int(True)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "int(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "float(True)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "float(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(0)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(0.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(10.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(-2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Strings" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "uuid": "01840910-c872-4f80-8e26-37d537aae1c5" + }, + "outputs": [], + "source": [ + "t = 'this is a string object'" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "d961e3c3-59ca-4e85-949d-553727b39477" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'This is a string object'" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.capitalize()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "443fd868-860a-4ea7-a26c-85ad658a2fb7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['this', 'is', 'a', 'string', 'object']" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.split()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "7ba8fdc2-a567-42a8-b363-847be15d5073" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.find('string')" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "8cc71c8c-e447-4272-8b82-74da5f504404" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.find('Python')" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "ce57da4c-b95a-417f-a8bd-44f81b28d162" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'this|is|a|string|object'" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.replace(' ', '|')" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "4a115a34-774e-4544-95eb-95e9ebec36ea" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'www.python.org'" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'http://www.python.org'.strip('htp:/')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excursion: Printing and String Replacements" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Python for Finance\n" + ] + } + ], + "source": [ + "print('Python for Finance') " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "this is a string object\n" + ] + } + ], + "source": [ + "print(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n" + ] + } + ], + "source": [ + "i = 0\n", + "while i < 4:\n", + " print(i) \n", + " i += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0|1|2|3|" + ] + } + ], + "source": [ + "i = 0\n", + "while i < 4:\n", + " print(i, end='|') \n", + " i += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 15'" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer %d' % 15 " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 15'" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer %4d' % 15 " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 0015'" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer %04d' % 15 " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.345600'" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float %f' % 15.3456 " + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.35'" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float %.2f' % 15.3456 " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.345600'" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float %8f' % 15.3456 " + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.35'" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float %8.2f' % 15.3456 " + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 00015.35'" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float %08.2f' % 15.3456 " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a string Python'" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a string %s' % 'Python' " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a string Python'" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a string %10s' % 'Python' " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 15'" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer {:d}'.format(15)" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 15'" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer {:4d}'.format(15)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is an integer 0015'" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is an integer {:04d}'.format(15)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.345600'" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float {:f}'.format(15.3456)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.35'" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float {:.2f}'.format(15.3456)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.345600'" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float {:8f}'.format(15.3456)" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 15.35'" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float {:8.2f}'.format(15.3456)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a float 00015.35'" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a float {:08.2f}'.format(15.3456)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a string Python'" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a string {:s}'.format('Python')" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'this is a string Python '" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'this is a string {:10s}'.format('Python')" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the number is 0\n", + "the number is 1\n", + "the number is 2\n", + "the number is 3\n" + ] + } + ], + "source": [ + "i = 0\n", + "while i < 4:\n", + " print('the number is %d' % i)\n", + " i += 1" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the number is 0\n", + "the number is 1\n", + "the number is 2\n", + "the number is 3\n" + ] + } + ], + "source": [ + "i = 0\n", + "while i < 4:\n", + " print('the number is {:d}'.format(i))\n", + " i += 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excursion: Regular Expressions" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "uuid": "8295f915-ee30-44df-896a-539aa6e5287d" + }, + "outputs": [], + "source": [ + "import re" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "uuid": "31a001d3-195c-42d3-823b-643eb2be3981" + }, + "outputs": [], + "source": [ + "series = \"\"\"\n", + "'01/18/2014 13:00:00', 100, '1st';\n", + "'01/18/2014 13:30:00', 110, '2nd';\n", + "'01/18/2014 14:00:00', 120, '3rd'\n", + "\"\"\"" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "uuid": "b62df3db-51da-4bd5-8abe-f536296c756e" + }, + "outputs": [], + "source": [ + "dt = re.compile(\"'[0-9/:\\s]+'\") # datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": { + "uuid": "02dd3264-3090-4607-a0d9-568d12093158" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[\"'01/18/2014 13:00:00'\", \"'01/18/2014 13:30:00'\", \"'01/18/2014 14:00:00'\"]" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = dt.findall(series)\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": { + "uuid": "ec54f07e-c507-437e-b5ec-6bd4f6d1e9f8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2014, 1, 18, 13, 0)" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from datetime import datetime\n", + "pydt = datetime.strptime(result[0].replace(\"'\", \"\"),\n", + " '%m/%d/%Y %H:%M:%S')\n", + "pydt" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "uuid": "28c72cd0-7efb-43b6-8dae-c48f034c154e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2014-01-18 13:00:00\n" + ] + } + ], + "source": [ + "print(pydt)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "uuid": "d166e305-a9ab-4d28-ac04-ee6016035b88" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "print(type(pydt))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic Data Structures" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Tuples" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "uuid": "a84deee3-7f60-459a-bb91-d0cd9c8031aa" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "tuple" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t = (1, 2.5, 'data')\n", + "type(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "uuid": "9c63a354-9fde-4ded-92f2-bb8ed08ea185" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "tuple" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t = 1, 2.5, 'data'\n", + "type(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "uuid": "0c6923a3-efab-4cb1-baf7-f31ce725f520" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'data'" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t[2]" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "uuid": "d36fef13-3878-4512-a458-9f5c2dda2cc6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "str" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(t[2])" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "uuid": "d306c24a-5ae0-4395-9fb7-27bf0bb3d1a5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.count('data')" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "uuid": "10a2d29d-b83d-45bf-aa6b-7d7d028e0fcf" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.index(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lists" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "uuid": "434dd023-faaf-4b7f-953a-69ec45eec4aa" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'data'" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l = [1, 2.5, 'data']\n", + "l[2]" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "uuid": "51232410-3f94-4df5-b982-ffcb8438c437" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2.5, 'data']" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l = list(t)\n", + "l" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "uuid": "7fab351f-6bb8-492f-a4be-314dfab9d13b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "list" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(l)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "uuid": "5f409ddb-67a5-42cc-949c-7b1cc7fb7489" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2.5, 'data', [4, 3]]" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l.append([4, 3]) \n", + "l" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "uuid": "4e108298-4370-4371-9794-066aff49bfa3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2.5, 'data', [4, 3], 1.0, 1.5, 2.0]" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l.extend([1.0, 1.5, 2.0]) \n", + "l" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "uuid": "9076e4d2-518a-4554-b400-ffc06918a11a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 'insert', 2.5, 'data', [4, 3], 1.0, 1.5, 2.0]" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l.insert(1, 'insert') \n", + "l" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "uuid": "7049a3a2-3d79-4584-bc57-3f91feb1e941" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 'insert', 2.5, [4, 3], 1.0, 1.5, 2.0]" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l.remove('data') \n", + "l" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "uuid": "23bf5c19-5dc8-404a-bb5c-bda07c752d89" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 'insert', 2.5, 1.0, 1.5, 2.0] [4, 3]\n" + ] + } + ], + "source": [ + "p = l.pop(3) \n", + "print(l, p)" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "uuid": "df15c54e-7500-40d8-9563-ecb305993e6b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[2.5, 1.0, 1.5]" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l[2:5] " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excursion: Control Structures" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": { + "uuid": "4661533f-3ff0-4699-a17b-cf061e860d8a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.25\n", + "1.0\n", + "2.25\n" + ] + } + ], + "source": [ + "for element in l[2:5]:\n", + " print(element ** 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "uuid": "c5d97e03-6106-46a9-abb3-0c71cf0b7767" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "range(0, 8)" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "r = range(0, 8, 1) \n", + "r" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "uuid": "0ef58c5e-a1d8-438a-bf2f-db598b963187" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "range" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(r)" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "uuid": "c1621dce-d184-4331-bd1d-6b6008286c99" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.25\n", + "1.0\n", + "2.25\n" + ] + } + ], + "source": [ + "for i in range(2, 5):\n", + " print(l[i] ** 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "uuid": "474dd7ff-5fdd-429c-a574-48d698919e98" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 is odd\n", + "2 is even\n", + "3 is multiple of 3\n", + "4 is even\n", + "5 is odd\n", + "6 is even\n", + "7 is odd\n", + "8 is even\n", + "9 is multiple of 3\n" + ] + } + ], + "source": [ + "for i in range(1, 10):\n", + " if i % 2 == 0: \n", + " print(\"%d is even\" % i)\n", + " elif i % 3 == 0:\n", + " print(\"%d is multiple of 3\" % i)\n", + " else:\n", + " print(\"%d is odd\" % i)" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "uuid": "d15a40d3-e0c5-444c-83b8-68a08b1066de" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100\n" + ] + } + ], + "source": [ + "total = 0\n", + "while total < 100:\n", + " total += 1\n", + "print(total)" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "uuid": "bcfe427d-ea2c-485a-aace-f2927afefbdd" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 1, 4, 9, 16]" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = [i ** 2 for i in range(5)]\n", + "m" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excursion: Functional Programming" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "uuid": "73fe24f8-e852-4b29-a488-901145b88120" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def f(x):\n", + " return x ** 2\n", + "f(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "uuid": "af1c90bc-8688-4b64-a269-11b81e53b7f2" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def even(x):\n", + " return x % 2 == 0\n", + "even(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "uuid": "6b9746e8-1717-4f33-a9d8-46fbb8d6d114" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[True, False, True, False, True, False, True, False, True, False]" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(even, range(10)))" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": { + "uuid": "b8e6e5a8-704f-4d72-b92c-0c42f15b53e8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 1, 4, 9, 16, 25, 36, 49, 64, 81]" + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(lambda x: x ** 2, range(10)))" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "uuid": "3354de29-f946-4076-a794-ba07969bf3b7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 2, 4, 6, 8, 10, 12, 14]" + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(filter(even, range(15)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dicts" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "uuid": "14981fb1-5636-4c73-93c9-f8e18930cc6b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dict" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d = {\n", + " 'Name' : 'Angela Merkel',\n", + " 'Country' : 'Germany',\n", + " 'Profession' : 'Chancelor',\n", + " 'Age' : 64\n", + " }\n", + "type(d)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "uuid": "786249fd-c888-4aa2-9157-973147ff2c2b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Angela Merkel 64\n" + ] + } + ], + "source": [ + "print(d['Name'], d['Age'])" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "uuid": "33182240-3b00-4e43-922c-8189296791aa" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['Name', 'Country', 'Profession', 'Age'])" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "uuid": "98b8e7a4-bac0-4299-9c47-c223269e24d7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_values(['Angela Merkel', 'Germany', 'Chancelor', 64])" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.values()" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "uuid": "48545763-dfe7-4bb2-ade3-d0598498726e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_items([('Name', 'Angela Merkel'), ('Country', 'Germany'), ('Profession', 'Chancelor'), ('Age', 64)])" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.items()" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "uuid": "9ed881cc-0eef-4307-b93b-0a728d98d647" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "65\n" + ] + } + ], + "source": [ + "birthday = True\n", + "if birthday:\n", + " d['Age'] += 1\n", + "print(d['Age'])" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": { + "uuid": "a2f40c35-348f-4727-87b6-df2e1c5f6f15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('Name', 'Angela Merkel')\n", + "('Country', 'Germany')\n", + "('Profession', 'Chancelor')\n", + "('Age', 65)\n" + ] + } + ], + "source": [ + "for item in d.items():\n", + " print(item)" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": { + "uuid": "2dc61967-ece2-48cd-af60-fcf58eb68270" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + "\n", + "\n" + ] + } + ], + "source": [ + "for value in d.values():\n", + " print(type(value))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sets" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "uuid": "7037930a-6fda-493e-8922-2095f50c76e5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'d', 'du', 'u', 'ud'}" + ] + }, + "execution_count": 131, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s = set(['u', 'd', 'ud', 'du', 'd', 'du'])\n", + "s" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": { + "uuid": "c649fb45-81fd-4d46-9ea0-4462203fde81" + }, + "outputs": [], + "source": [ + "t = set(['d', 'dd', 'uu', 'u'])" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": { + "uuid": "d592a20e-c8bd-4db4-b0db-f4f30b3ddb9a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'d', 'dd', 'du', 'u', 'ud', 'uu'}" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.union(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": { + "uuid": "0c60085c-d1e9-4023-9909-8f8623f1620e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'d', 'u'}" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.intersection(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": { + "uuid": "c2efb482-02dc-41f6-ba00-4bbdccbfa905" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'du', 'ud'}" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.difference(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": { + "uuid": "ad2a4b31-8cea-41ef-af26-164ba264dd08" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'dd', 'uu'}" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t.difference(s) " + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": { + "uuid": "1a040fc4-58d0-454d-b21a-59ce4325914d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'dd', 'du', 'ud', 'uu'}" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.symmetric_difference(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": { + "uuid": "a9173c67-0fff-4313-a1c6-c9f52f911b00" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1000" + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from random import randint\n", + "l = [randint(0, 10) for i in range(1000)] \n", + "len(l) " + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": { + "uuid": "b79db3dd-9264-49c1-8163-ca5ac1dca35d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[9, 8, 0, 8, 2, 3, 3, 2, 9, 10, 6, 6, 4, 9, 7, 0, 7, 0, 7, 9]" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l[:20]" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": { + "uuid": "918b67ef-4b7e-456c-8133-60de3ae680f6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}" + ] + }, + "execution_count": 140, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s = set(l)\n", + "s" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch04/04_numpy.ipynb b/code/ch04/04_numpy.ipynb new file mode 100644 index 0000000..c7bca68 --- /dev/null +++ b/code/ch04/04_numpy.ipynb @@ -0,0 +1,3394 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Numerical Computing with NumPy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Arrays with Python Lists" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "be5428db-f5f0-48d1-9cb3-46ab122778e7" + }, + "outputs": [], + "source": [ + "v = [0.5, 0.75, 1.0, 1.5, 2.0] " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "uuid": "01678cdc-dfe0-481e-b9bc-b735b15c76c0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[[0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0]]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = [v, v, v] \n", + "m " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "e2d1473a-4970-4085-9e8a-de65ed22f986" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.5, 0.75, 1.0, 1.5, 2.0]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "e33ea433-6716-4d17-9ed3-04a68af6b489" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m[1][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "d905bfcc-e325-468e-829e-bb5c59def934" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[[[0.5, 1.5], [1, 2]], [[0.5, 1.5], [1, 2]]]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v1 = [0.5, 1.5]\n", + "v2 = [1, 2]\n", + "m = [v1, v2]\n", + "c = [m, m] \n", + "c" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "scrolled": true, + "uuid": "be03ed03-1e4a-428e-ac94-e451ceeaa745" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c[1][1][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "015e5dd4-fda4-4572-9a23-06ff178ff2be" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[[0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0]]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v = [0.5, 0.75, 1.0, 1.5, 2.0]\n", + "m = [v, v, v]\n", + "m" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "fd8ebed9-f11c-455a-a660-f4fe8d12d8f4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['Python', 0.75, 1.0, 1.5, 2.0],\n", + " ['Python', 0.75, 1.0, 1.5, 2.0],\n", + " ['Python', 0.75, 1.0, 1.5, 2.0]]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v[0] = 'Python'\n", + "m" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "eacab892-e5a6-49be-9ef2-ef2972b313c3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[[0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0]]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from copy import deepcopy\n", + "v = [0.5, 0.75, 1.0, 1.5, 2.0]\n", + "m = 3 * [deepcopy(v), ] \n", + "m" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "10ed3e78-fdc4-4adf-8f80-75eac48629a1" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[[0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0],\n", + " [0.5, 0.75, 1.0, 1.5, 2.0]]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v[0] = 'Python' \n", + "m " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interlude: Python Array Class" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "v = [0.5, 0.75, 1.0, 1.5, 2.0]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import array" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('f', [0.5, 0.75, 1.0, 1.5, 2.0])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = array.array('f', v) \n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('f', [0.5, 0.75, 1.0, 1.5, 2.0, 0.5])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a.append(0.5) \n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('f', [0.5, 0.75, 1.0, 1.5, 2.0, 0.5, 5.0, 6.75])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a.extend([5.0, 6.75]) \n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('f', [0.5, 0.75, 1.0, 1.5, 2.0, 0.5, 5.0, 6.75, 0.5, 0.75, 1.0, 1.5, 2.0, 0.5, 5.0, 6.75])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 * a " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# causes intentional error\n", + "# a.append('string') " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.5, 0.75, 1.0, 1.5, 2.0, 0.5, 5.0, 6.75]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a.tolist() " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "f = open('array.apy', 'wb') \n", + "a.tofile(f) \n", + "f.close() " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "with open('array.apy', 'wb') as f: \n", + " a.tofile(f) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r--@ 1 503 20 32 Dec 1 11:54 array.apy\r\n" + ] + } + ], + "source": [ + "!ls -n arr* " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "b = array.array('f') " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "with open('array.apy', 'rb') as f: \n", + " b.fromfile(f, 5) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('f', [0.5, 0.75, 1.0, 1.5, 2.0])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "b = array.array('d') " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "with open('array.apy', 'rb') as f:\n", + " b.fromfile(f, 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array('d', [0.0004882813645963324, 0.12500002956949174])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Regular NumPy Arrays" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Basics" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "uuid": "434dc849-a224-49f3-af1c-466dc48c9258" + }, + "outputs": [], + "source": [ + "import numpy as np " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.5, 1. , 1.5, 2. ])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = np.array([0, 0.5, 1.0, 1.5, 2.0]) \n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "a58df3ba-f18e-459d-ac4d-6be84714a2a3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(a) " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['a', 'b', 'c'], dtype=' 8 " + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ True, True, True],\n", + " [ True, True, True],\n", + " [ True, True, False],\n", + " [False, False, False],\n", + " [False, False, False]])" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h <= 7 " + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[False, False, False],\n", + " [False, False, True],\n", + " [False, False, False],\n", + " [False, False, False],\n", + " [False, False, False]])" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h == 5 " + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 0, 0],\n", + " [0, 0, 1],\n", + " [0, 0, 0],\n", + " [0, 0, 0],\n", + " [0, 0, 0]])" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(h == 5).astype(int) " + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[False, False, False],\n", + " [False, False, True],\n", + " [ True, True, True],\n", + " [ True, True, True],\n", + " [ True, False, False]])" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(h > 4) & (h <= 12) " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 9, 10, 11, 12, 13, 14])" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h[h > 8] " + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 6, 7, 8, 9, 10, 11, 12])" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h[(h > 4) & (h <= 12)] " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 12, 13, 14])" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h[(h < 4) | (h >= 12)] " + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 0, 0],\n", + " [0, 0, 0],\n", + " [0, 0, 1],\n", + " [1, 1, 1],\n", + " [1, 1, 1]])" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.where(h > 7, 1, 0) " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([['even', 'odd', 'even'],\n", + " ['odd', 'even', 'odd'],\n", + " ['even', 'odd', 'even'],\n", + " ['odd', 'even', 'odd'],\n", + " ['even', 'odd', 'even']], dtype='
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch05/05_pandas.ipynb b/code/ch05/05_pandas.ipynb new file mode 100644 index 0000000..c0a88e3 --- /dev/null +++ b/code/ch05/05_pandas.ipynb @@ -0,0 +1,6584 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Data Analysis with pandas" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## pandas Basics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### First Steps with DataFrame Class" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "eda2a742-134d-4d47-8b30-557b846b9bb3" + }, + "outputs": [], + "source": [ + "import pandas as pd " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame([10, 20, 30, 40], \n", + " columns=['numbers'], \n", + " index=['a', 'b', 'c', 'd']) " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "f3be2d89-829a-49b2-96fc-07c475db1e3f" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " No1 No2 No3 No4\n", + "2019-01-31 -74.976547 134.268040 215.303580 74.756396\n", + "2019-02-28 198.132079 151.421884 122.117967 -7.004333\n", + "2019-03-31 81.050417 125.500144 54.197301 143.516349\n", + "2019-04-30 41.640495 181.684707 167.272081 89.558886\n", + "2019-05-31 46.871962 202.973269 56.186438 -11.831825\n", + "2019-06-30 261.898166 254.160517 74.812086 15.756426\n", + "2019-07-31 118.451869 193.708220 173.100034 236.155613\n", + "2019-08-31 67.376194 105.567601 122.239961 -44.321700\n", + "2019-09-30 24.364769 181.645401 175.044476 54.405307" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "100 * df + 100 " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import plt, mpl \n", + "plt.style.use('seaborn') \n", + "mpl.rcParams['font.family'] = 'serif' \n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "4b1834ec-9f9b-41d6-8d06-f2efc8433dc4" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.cumsum().plot(lw=2.0, figsize=(10, 6)); \n", + "# plt.savefig('../../images/ch05/pd_plot_01.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "uuid": "4b1834ec-9f9b-41d6-8d06-f2efc8433dc4" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.plot.bar(figsize=(10, 6), rot=30); \n", + "# df.plot(kind='bar', figsize=(10, 6)) \n", + "# plt.savefig('../../images/ch05/pd_plot_02.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Series Class" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "e86f82d1-5934-42d3-a986-f01bc829adaa" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.frame.DataFrame" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "S = pd.Series(np.linspace(0, 15, 7), name='series')" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 0.0\n", + "1 2.5\n", + "2 5.0\n", + "3 7.5\n", + "4 10.0\n", + "5 12.5\n", + "6 15.0\n", + "Name: series, dtype: float64" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.series.Series" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(S)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "s = df['No1']" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2019-01-31 -1.749765\n", + "2019-02-28 0.981321\n", + "2019-03-31 -0.189496\n", + "2019-04-30 -0.583595\n", + "2019-05-31 -0.531280\n", + "2019-06-30 1.618982\n", + "2019-07-31 0.184519\n", + "2019-08-31 -0.326238\n", + "2019-09-30 -0.756352\n", + "Freq: M, Name: No1, dtype: float64" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "ca241ef9-5359-4c89-bc92-be6346cb3959" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.series.Series" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(s)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.15021177307319458" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "b3d4cc90-e499-459c-88a5-011fde80d864" + }, + "outputs": [ + { + "data": { + "image/png": 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"name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 62 ms, sys: 1.11 ms, total: 63.1 ms\n", + "Wall time: 19.4 ms\n" + ] + } + ], + "source": [ + "%time res = np.sum(df.values, axis=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.3872424 , -0.96934273, -0.86315944])" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 42 ms, sys: 22.5 ms, total: 64.5 ms\n", + "Wall time: 13.2 ms\n" + ] + } + ], + "source": [ + "%time res = df.eval('x + y') " + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 0.387242\n", + "1 -0.969343\n", + "2 -0.863159\n", + "dtype: float64" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 18.8 s, sys: 56.8 ms, total: 18.9 s\n", + "Wall time: 18.4 s\n" + ] + } + ], + "source": [ + "%time res = df.apply(lambda row: row['x'] + row['y'], axis=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 0.387242\n", + "1 -0.969343\n", + "2 -0.863159\n", + "dtype: float64" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res[:3]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch06/06_object_orientation.ipynb b/code/ch06/06_object_orientation.ipynb new file mode 100644 index 0000000..ba27e42 --- /dev/null +++ b/code/ch06/06_object_orientation.ipynb @@ -0,0 +1,2191 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Object Oriented Programming" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "class HumanBeing(object): \n", + " def __init__(self, first_name, eye_color): \n", + " self.first_name = first_name \n", + " self.eye_color = eye_color \n", + " self.position = 0 \n", + " def walk_steps(self, steps): \n", + " self.position += steps " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "Sandra = HumanBeing('Sandra', 'blue') " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Sandra'" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Sandra.first_name " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Sandra.position " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "Sandra.walk_steps(5) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Sandra.position " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A Brief Look at Standard Objects" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### int" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "n = 5 " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "int" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(n) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n.numerator " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n.bit_length() " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n + n " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 * n " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "28" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n.__sizeof__() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### list" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "l = [1, 2, 3, 4] " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "list" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(l) " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l[0] " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "l.append(10) " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3, 4, 10, 1, 2, 3, 4, 10]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l + l " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3, 4, 10, 1, 2, 3, 4, 10]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 * l " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(l) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "104" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l.__sizeof__() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### ndarray" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "a = np.arange(16).reshape((4, 4)) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3],\n", + " [ 4, 5, 6, 7],\n", + " [ 8, 9, 10, 11],\n", + " [12, 13, 14, 15]])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(a) " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "128" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a.nbytes " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "120" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + 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"cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "class FinancialInstrument(object): \n", + " pass " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "fi = FinancialInstrument() " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "__main__.FinancialInstrument" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(fi) " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<__main__.FinancialInstrument at 0x11b3ce048>" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'<__main__.FinancialInstrument object at 0x11b3ce048>'" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.__str__() " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "fi.price = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.price " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "class FinancialInstrument(object):\n", + " author = 'Yves Hilpisch' \n", + " def __init__(self, symbol, price): \n", + " self.symbol = symbol \n", + " self.price = price " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Yves Hilpisch'" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "FinancialInstrument.author " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "aapl = FinancialInstrument('AAPL', 100) " + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'AAPL'" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.symbol " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Yves Hilpisch'" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.author " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "aapl.price = 105 " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "105" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.price " + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "class FinancialInstrument(FinancialInstrument): \n", + " def get_price(self): \n", + " return self.price \n", + " def set_price(self, price): \n", + " self.price = price " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "fi = FinancialInstrument('AAPL', 100) " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.get_price() " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "fi.set_price(105) " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "105" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.get_price() " + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "105" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.price " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "class FinancialInstrument(object):\n", + " def __init__(self, symbol, price):\n", + " self.symbol = symbol \n", + " self.__price = price \n", + " def get_price(self):\n", + " return self.__price\n", + " def set_price(self, price):\n", + " self.__price = price" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "fi = FinancialInstrument('AAPL', 100)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi.get_price() " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "# causes intentional error\n", + "# fi.__price " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fi._FinancialInstrument__price " + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "fi._FinancialInstrument__price = 105 " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "fi.set_price(100) " + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "class PortfolioPosition(object):\n", + " def __init__(self, financial_instrument, position_size):\n", + " self.position = financial_instrument \n", + " self.__position_size = position_size \n", + " def get_position_size(self):\n", + " return self.__position_size\n", + " def update_position_size(self, position_size):\n", + " self.__position_size = position_size\n", + " def get_position_value(self):\n", + " return self.__position_size * \\\n", + " self.position.get_price() " + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "pp = PortfolioPosition(fi, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pp.get_position_size()" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1000" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pp.get_position_value() " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pp.position.get_price() " + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "pp.position.set_price(105) " + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1050" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pp.get_position_value() " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Python Data Model" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(object):\n", + " def __init__(self, x=0, y=0, z=0): \n", + " self.x = x \n", + " self.y = y \n", + " self.z = z " + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, 3) " + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "<__main__.Vector at 0x11b3e2c18>" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(Vector):\n", + " def __repr__(self):\n", + " return 'Vector(%r, %r, %r)' % (self.x, self.y, self.z)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Vector(1, 2, 3)" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Vector(1, 2, 3)\n" + ] + } + ], + "source": [ + "print(v) " + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(Vector):\n", + " def __abs__(self):\n", + " return (self.x ** 2 + self.y ** 2 +\n", + " self.z ** 2) ** 0.5 \n", + " \n", + " def __bool__(self):\n", + " return bool(abs(self))" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, -1) " + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2.449489742783178" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "abs(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector() " + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Vector(0, 0, 0)" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v " + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "abs(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(Vector):\n", + " def __add__(self, other):\n", + " x = self.x + other.x\n", + " y = self.y + other.y\n", + " z = self.z + other.z\n", + " return Vector(x, y, z) \n", + " \n", + " def __mul__(self, scalar):\n", + " return Vector(self.x * scalar,\n", + " self.y * scalar,\n", + " self.z * scalar) " + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Vector(3, 5, 7)" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v + Vector(2, 3, 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Vector(2, 4, 6)" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v * 2" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(Vector):\n", + " def __len__(self):\n", + " return 3 \n", + " \n", + " def __getitem__(self, i):\n", + " if i in [0, -3]: return self.x\n", + " elif i in [1, -2]: return self.y\n", + " elif i in [2, -1]: return self.z\n", + " else: raise IndexError('Index out of range.')" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "v[-2]" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "# causes intentional error\n", + "# v[3]" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(Vector):\n", + " def __iter__(self):\n", + " for i in range(len(self)):\n", + " yield self[i]" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "v = Vector(1, 2, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n", + "2\n", + "3\n" + ] + } + ], + "source": [ + "for i in range(3): \n", + " print(v[i]) " + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n", + "2\n", + "3\n" + ] + } + ], + "source": [ + "for coordinate in v: \n", + " print(coordinate) " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [], + "source": [ + "class Vector(object):\n", + " def __init__(self, x=0, y=0, z=0):\n", + " self.x = x\n", + " self.y = y\n", + " self.z = z\n", + " \n", + " def __repr__(self):\n", + " return 'Vector(%r, %r, %r)' % (self.x, self.y, self.z)\n", + " \n", + " def __abs__(self):\n", + " return (self.x ** 2 + self.y ** 2 + self.z ** 2) ** 0.5\n", + " \n", + " def __bool__(self):\n", + " return bool(abs(self))\n", + " \n", + " def __add__(self, other):\n", + " x = self.x + other.x\n", + " y = self.y + other.y\n", + " z = self.z + other.z\n", + " return Vector(x, y, z)\n", + " \n", + " def __mul__(self, scalar):\n", + " return Vector(self.x * scalar,\n", + " self.y * scalar,\n", + " self.z * scalar)\n", + " \n", + " def __len__(self):\n", + " return 3\n", + " \n", + " def __getitem__(self, i):\n", + " if i in [0, -3]: return self.x\n", + " elif i in [1, -2]: return self.y\n", + " elif i in [2, -1]: return self.z\n", + " else: raise IndexError('Index out of range.')\n", + " \n", + " def __iter__(self):\n", + " for i in range(len(self)):\n", + " yield self[i]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch07/07_visualization.ipynb b/code/ch07/07_visualization.ipynb new file mode 100644 index 0000000..2195272 --- /dev/null +++ b/code/ch07/07_visualization.ipynb @@ -0,0 +1,1488 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Data Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib as mpl" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'3.0.1'" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mpl.__version__ " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn') " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "mpl.rcParams['font.family'] = 'serif' " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Static 2D Plotting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### One-Dimensional Data Set" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "1b8fb946-2573-442e-ab40-cc416f703b35" + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(1000) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "033038bb-7b63-42c8-aa0e-a9b01df1a656" + }, + "outputs": [], + "source": [ + "y = np.random.standard_normal(20) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "86f4eb1d-a2e0-4573-b456-636756320573" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(len(y)) \n", + "plt.plot(x, y); \n", + "# plt.savefig('../../images/ch07/mpl_01')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "dfe5ea13-bb4e-4158-85e1-d391b38ce53e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(y);\n", + "# plt.savefig('../../images/ch07/mpl_02')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "8ce3f781-2188-43da-86a0-866bb28bdfa2" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(y.cumsum());\n", + "# plt.savefig('../../images/ch07/mpl_03')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "bb30a215-06d6-498f-815a-0f90c3ec5e3e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(y.cumsum())\n", + "plt.grid(False) \n", + "plt.axis('equal'); \n", + "# plt.savefig('../../images/ch07/mpl_04')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "46c40470-43b9-41b2-a299-60bdcb535d4b" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(y.cumsum())\n", + "plt.xlim(-1, 20)\n", + "plt.ylim(np.min(y.cumsum()) - 1,\n", + " np.max(y.cumsum()) + 1);\n", + "# plt.savefig('../../images/ch07/mpl_05')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "uuid": "a49d4a75-3e67-4e73-96b1-9db889127a62" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6)) \n", + "plt.plot(y.cumsum(), 'b', lw=1.5) \n", + "plt.plot(y.cumsum(), 'ro') \n", + "plt.xlabel('index') \n", + "plt.ylabel('value') \n", + "plt.title('A Simple Plot'); \n", + "# plt.savefig('../../images/ch07/mpl_06')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Two-Dimensional Data Set" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "f59132a2-1eda-49da-8efa-4a49e4e8a670" + }, + "outputs": [], + "source": [ + "y = np.random.standard_normal((20, 2)).cumsum(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "f9b54053-7cbc-49f3-a558-700356d9b3af" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(y, lw=1.5)\n", + "plt.plot(y, 'ro')\n", + "plt.xlabel('index')\n", + "plt.ylabel('value')\n", + "plt.title('A Simple Plot');\n", + "# plt.savefig('../../images/ch07/mpl_07')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "7e085a23-dd6c-4709-a616-9eb1728447c6" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(y[:, 0], lw=1.5, label='1st') \n", + "plt.plot(y[:, 1], lw=1.5, label='2nd') \n", + "plt.plot(y, 'ro')\n", + "plt.legend(loc=0) \n", + "plt.xlabel('index')\n", + "plt.ylabel('value')\n", + "plt.title('A Simple Plot');\n", + "# plt.savefig('../../images/ch07/mpl_08')" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "y[:, 0] = y[:, 0] * 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "4586bd90-1e5b-4de4-8671-449b82cb53c7" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(y[:, 0], lw=1.5, label='1st')\n", + "plt.plot(y[:, 1], lw=1.5, label='2nd')\n", + "plt.plot(y, 'ro')\n", + "plt.legend(loc=0)\n", + "plt.xlabel('index')\n", + "plt.ylabel('value')\n", + "plt.title('A Simple Plot');\n", + "# plt.savefig('../../images/ch07/mpl_09')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "6a47906a-7ef2-4a16-b076-ca870744e158" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots() \n", + "plt.plot(y[:, 0], 'b', lw=1.5, label='1st')\n", + "plt.plot(y[:, 0], 'ro')\n", + "plt.legend(loc=8)\n", + "plt.xlabel('index')\n", + "plt.ylabel('value 1st')\n", + "plt.title('A Simple Plot')\n", + "ax2 = ax1.twinx() \n", + "plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n", + "plt.plot(y[:, 1], 'ro')\n", + "plt.legend(loc=0)\n", + "plt.ylabel('value 2nd');\n", + "# plt.savefig('../../images/ch07/mpl_10')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "988b6e09-b849-4f37-939e-5922c0ace8f6" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.subplot(211) \n", + "plt.plot(y[:, 0], lw=1.5, label='1st')\n", + "plt.plot(y[:, 0], 'ro')\n", + "plt.legend(loc=0)\n", + "plt.ylabel('value')\n", + "plt.title('A Simple Plot')\n", + "plt.subplot(212) \n", + "plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n", + "plt.plot(y[:, 1], 'ro')\n", + "plt.legend(loc=0)\n", + "plt.xlabel('index')\n", + "plt.ylabel('value');\n", + "# plt.savefig('../../images/ch07/mpl_11')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "1f78f7fe-b24b-4304-92c5-01d34d43c90f" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.subplot(121)\n", + "plt.plot(y[:, 0], lw=1.5, label='1st')\n", + "plt.plot(y[:, 0], 'ro')\n", + "plt.legend(loc=0)\n", + "plt.xlabel('index')\n", + "plt.ylabel('value')\n", + "plt.title('1st Data Set')\n", + "plt.subplot(122)\n", + "plt.bar(np.arange(len(y)), y[:, 1], width=0.5,\n", + " color='g', label='2nd') \n", + "plt.legend(loc=0)\n", + "plt.xlabel('index')\n", + "plt.title('2nd Data Set');\n", + "# plt.savefig('../../images/ch07/mpl_12')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Other Plot Styles" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "25aea2f5-5e26-4d01-9660-0eac2a9eaf7c" + }, + "outputs": [], + "source": [ + "y = np.random.standard_normal((1000, 2)) " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "22e55805-f571-4f38-8b53-b1fd216a4b95" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(y[:, 0], y[:, 1], 'ro') \n", + "plt.xlabel('1st')\n", + "plt.ylabel('2nd')\n", + "plt.title('Scatter Plot');\n", + "# plt.savefig('../../images/ch07/mpl_13')" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "dcb44778-f3b8-4fae-95cb-4cf6d1fec624" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(y[:, 0], y[:, 1], marker='o') \n", + "plt.xlabel('1st')\n", + "plt.ylabel('2nd')\n", + "plt.title('Scatter Plot');\n", + "# plt.savefig('../../images/ch07/mpl_14')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "bc89c721-ef4f-45c5-a713-ae74134d4ab7" + }, + "outputs": [], + "source": [ + "c = np.random.randint(0, 10, len(y))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "scrolled": false, + "uuid": "9fcd1af6-f018-4f1b-a2e8-51a6f2cf415e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(y[:, 0], y[:, 1],\n", + " c=c, \n", + " cmap='coolwarm', \n", + " marker='o') \n", + "plt.colorbar()\n", + "plt.xlabel('1st')\n", + "plt.ylabel('2nd')\n", + "plt.title('Scatter Plot');\n", + "# plt.savefig('../../images/ch07/mpl_15')" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "c9a9df7d-0e1f-41c5-8e8c-8c523214fb93" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(y, label=['1st', '2nd'], bins=25) \n", + "plt.legend(loc=0)\n", + "plt.xlabel('value')\n", + "plt.ylabel('frequency')\n", + "plt.title('Histogram');\n", + "# plt.savefig('../../images/ch07/mpl_16')" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "f7b73537-d6a9-4d34-9f3f-f838ab9f0eca" + }, + "outputs": [ + { + "data": { + "image/png": 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NGh0h+7eIuBS4HlgGvCIzX0stmH2wWcVJkiR1g0ZHyF4AzAYOycwnV2vfYbSLkiRJ6iaNBrK3Z+bPV21ExHqZuSIz7wP+vjmlSZIkdYdGb1nOiIhLBm1/LSL+oRkFSZIkdZtGA9n6mXnwoO3DAAOZJEnSKGg0kC0cvJGZK4HHRr8cSZKk7tPoHLLNI+IY4KfASmAvYNOmVSVJktRFGh0hOwHYHbii+rNr1SZJkqR11NAIWWYuBg4f3Fat1L+4GUVJkiR1k4YCWUSsB+wDbM5fR9UOBw5oUl2SJEldo9E5ZJcAU4B7gBVV2wuaUpEkSVKXaTSQTc7MPQc3RMQ+TahHkiSp6zQ6qf+qas7YYC8Z7WIkSZK6UaMjZEcCH4qIR4DlwDigFzi3WYVJkiR1i0YD2QPAtEHb46i9bFySJEnrqNFAdmBmLhvcEBHvGOqEiNgC+DSwU2buWrUdBRwNPF4ddkFm/v9q3+HAztQeGrgnM89r9B8hSZI0ljUayDaMiC8AzwXeAZwBfAhYMsQ5ewHfB16xWvthmfm7wQ0RsRVwIrBzZq6MiBsj4seZeVeD9UmSJI1ZjU7qPxW4DliemQPU5o7NG+qEzPw20L+GXf8vIk6MiI9FxMZV24HAzdU7MgFuAF7bYG2SJEljWqMjZH/IzAsi4lUAmXlrRDy6Fte7Frg0MxdFxOuAbwH7Apvx7PC2tGobUm/vJCZMWG/ERfT1TR7xOd3CvqnPvhlaX99kenomli6jLdkv9Y2kb7rte7Db/r0j1Wn902gg26T6eyVARPQAqy+DMazMvG/Q5o+Bi6u3ACwEthu0bwpw93Cft2TJsuEO+Rt9fZNZtGhNA3eyb+qzb4a2qn8GBpaXLqXt9PRMtF/qGGnfdNP3oD9zhjZW+2eoENnoLcsfRcSvgf0j4lLgXuAbIy0kIk6JiFUhcHvgvsxcAcwHdomIcdW+qcDlI/18SZKksajRl4t/KyJuA/ajtuTFCZmZQ50TEXsDRwBbRsRHgdOBh4AvRMR9wI7VfjLzgYg4DTgzIlYA5zuhX5IkdYtGb1lSBbBnQlhEHJqZ3x3i+GupzRkb7Kwhjv8K8JVG65EkSeoUDQWyiPi3NTTvDtQNZJIkSWpMoyNkL+Svo1frU1tb7LKmVCRJktRlGg1k78zM+wc3RMTcJtQjSZLUdRoNZOMiYuvq6/HAlsAezSlJkiSpuzQayG4HFlN7wnIl8CDDrNQvSRrGNbObf41pLbiGpHXWaCD7eGZ+tqmVSJIkdalGF4atuyR+RBw9SrVIkiR1pUZHyD4WEYetoX0ctRX3zx29kiSNtnkL5jT18309kCStm0YD2XeAx4Drq+29gOcAlwInNKEuSZKkrjGSlfr/ZdDmFRFxRmZeGxHDvgRckkaNE+EldaBG55DtGBEbrNqIiInAzgCZ+YdmFCZJktQtRnLL8r8j4kZqy17sCpzctKokSZK6SEMjZJn5eWB/4ErgKuDAzDy7mYVJkiR1i4bnkAGPA3cA11BbqV+SJEmjoKERsog4CpgPfJjaUhdnRsThTaxLkiSpazQ6qf/V1NYb+21mPpmZbwKmNq8sSZKk7tFoIHsoM59erW31bUmSJK2FRueQ9UXE24CNImJX4ABg4+aVJUmS1D0aHSH7IPC/gf2Ay4AAjm1WUZIkSd2k0RGyI4ALM/PIZhYjSZLUjRodITsJuL+ZhUiSJHWrRgPZ9cA9gxsi4u2jX44kSVL3afSWZT9wfURcAyyv2l4HfLkZRUmSJHWTIUfIIuKciJhCbTL/FcAT1BaGHdeC2iRJkrrCcCNkyzNzaUSMy8xPDN4RESuaWJckSc8yb8Gcpl9j5m6zmn4NaU2GC2QREe8E7o6I1Z+wfE2TapIkSeoqwwWyOcCRwFbA9NX2vaApFUmSJHWZIQNZZv4E+ElEvCEzvzN4X0S8oamVSZIkdYmGlr1YPYzVa5MkSdLINboOmSRJkprEQCZJklSYgUySJKmwRlfql6Tucc3s0fusnokwsHz44yR1NUfIJEmSCjOQSZIkFWYgkyRJKsxAJkmSVJiBTJIkqTADmSRJUmEGMkmSpMJch0ySOtlorqk2lGktuo7UoRwhkyRJKsxAJkmSVJiBTJIkqTADmSRJUmEGMkmSpMIMZJIkSYW57IWk0dOqJRYkqcM0LZBFxBbAp4GdMnPXqu05wGnAH4DtgbmZ+dtq3+HAzsAK4J7MPK9ZtUmSJLWTZt6y3Av4PjBuUNvxwO8z8xTgTOACgIjYCjgRODEzZwLviojtm1ibJElS22jaCFlmfjsipq3WfBAwq9p/e0TsFBFTgAOBmzNzZXXcDcBrgbuGukZv7yQmTFhvxLX19U0e8Tndwr6pbyz3TU/PxNZcowXXGYta0f/FreW/sd36pp2+z9uplnbUaf3T6jlkmwH9g7aXVm312oe0ZMmyERfQ1zeZRYv6hz+wC9k39Y31vhkYWN7Uz+/pmVi7RpOvMxY90zedbi3+je3YN+3yfT7Wf+Y021jtn6FCZKufslwIDK5mStVWr12SJKnjtXqE7FJgKnB9ROwI/Cozl0bEfOCYiBhX3bacCny+xbVJktbW2jxh2zNxZCNrvsBcHayZT1nuDRwBbBkRHwVOB84CTqu2twNmAGTmAxFxGnBmRKwAzs/MIeePSZ1i3oI5pUuQJBXWzEn91wLXrmHX++sc/xXgK82qR5IkqV25Ur8kSVJhBjJJkqTCDGSSJEmFGcgkSZIKM5BJkiQVZiCTJEkqzEAmSZJUmIFMkiSpMAOZJElSYQYySZKkwgxkkiRJhRnIJEmSCjOQSZIkFWYgkyRJKsxAJkmSVJiBTJIkqTADmSRJUmEGMkmSpMIMZJIkSYUZyCRJkgozkEmSJBVmIJMkSSrMQCZJklSYgUySJKkwA5kkSVJhBjJJkqTCDGSSJEmFGcgkSZIKM5BJkiQVZiCTJEkqzEAmSZJUmIFMkiSpMAOZJElSYRNKFyCpBa6Z3dzP75kIA8ubew1J6mCOkEmSJBVmIJMkSSrMQCZJklSYgUySJKkwA5kkSVJhPmUpSRobmv20MDCP5l8DYOZus1pyHY0djpBJkiQVZiCTJEkqzFuW0hDmLZgDQE/PRAZc+FSS1CSOkEmSJBVmIJMkSSrMQCZJklSYgUySJKmwYpP6I+LnwOPV5orM3DciNgbmAvcC2wOzMvPhUjVKkiS1QsmnLH+YmbNXa5sD/Cgz/zMiXg+cBhzR8sqkVmrBYpeSpPZWMpDtGBEfBJ4L3JiZlwIHASdX+38KfLlUcZIkSa1SMpB9JjMXRMR6wHUR0Q9sBvRX+5cCvRExITOfWtMH9PZOYsKE9UZ84b6+yWtbc8ezb56tp2fiGr8e3Ys06XNbrGn90wHsm/rarm9aVE8jP2v9eTy0TuufYoEsMxdUf6+IiOuB6cBCYDLwKDAFWFIvjAEsWbJsxNft65vMokX9wx/Yheybv7VqMdimLgzbAQvOunBuffZNfW3ZNy2qZ7iftf48HtpY7Z+hQmSRpywjYoeImDGoaXvgbuBSYGrVtme1LUmS1NFKjZAtBQ6OiOdTGwm7H/g6cDnwmYh4CbAtcGKh+iRJklqmSCDLzD8Ch65h15+Ad7e4HEmSpKJcGFaSJKkwA5kkSVJhBjJJkqTCDGSSJEmFGcgkSZIKM5BJkiQVZiCTJEkqrOS7LCVJ6krzFswZcv9ovFZq5m6z1ul8tZYjZJIkSYUZyCRJkgozkEmSJBVmIJMkSSrMQCZJklSYgUySJKkwl72QJGmVa2a35jrTWnQdjRmOkEmSJBVmIJMkSSrMW5bSUFbdvuiZCOu4arYkSfU4QiZJklSYgUySJKkwb1lqTBruxbyjZ3aLriNJ6maOkEmSJBVmIJMkSSrMQCZJklSYgUySJKkwA5kkSVJhBjJJkqTCDGSSJEmFGcgkSZIKM5BJkiQVZiCTJEkqzFcnSZLUatfMHnp/z0QYWL5u19jtiXU7Xy3lCJkkSVJhBjJJkqTCDGSSJEmFOYdMo27egjmlS5AkaUwxkEmS1IFa8cvxzN1mNf0a3cJAprFpuCeUJEkaQ5xDJkmSVJiBTJIkqTBvWWr0eTtRkqQRcYRMkiSpMAOZJElSYd6ylCSpE7Vi+ojvyxw1BrIuM9S6ND09ExlY15fZAjB7FD5DktTuWrUQeDesd+YtS0mSpMIcIZMkSWunVU/Vd8GtUUfIJEmSCmu7EbKI2A94A7AQWJmZnyhckiRJUlO1VSCLiEnAucDLM3N5RFwUEftm5lWla2u2Vk2MlCRprJk3b4Nnbff0wMDABnWOXjszZ5a9LdpWgQyYCvx3Zq561O+nwEFA0UDWUWFpqPv9PRNhVJ6ylCRJI9FugWwzoH/Q9tKqbY36+iaPW5uL9PVNHtHxpx50ytpcpj0dNNwBE1tRxRhl3wzN/qnPvqnPvqnPvhnaaPdP2f5ut0n9C4HBaWlK1SZJktSx2i2Q3QC8KCJWxdQ9gUsL1iNJktR041auXFm6hmeJiP2BNwGLgCd9ylKSJHW6tgtkkiRJ3abdbllKkiR1HQOZJElSYe227EXLRMRHgeMzc9PStbSTiDgO2BH4LbWHKuZm5g1lq2oPEXEmsAz4M7ATtf9+HipbVXuIiPHAu4FPAftk5q8Ll1Scbx2pLyK2AD4N7JSZu5aup51ExLbU+uYWYCtgcWZ+smxV7aH6OfMD4BfABsC2wDsz8y9FCxslXTlCFhHTgN7SdbSpicAxmTkPuBDwB8FfDWTmRzLzFOBW4COlC2ojO1H7IbmsdCHtYNBbRz6QmbOBv4+IfctW1Vb2Ar4PrNVakh1uY+AbmXlqZh4HHBYRu5Quqo3ckJmfzMyPApOo/dLTEbpuhCwiNgcOA+YCby9cTtupgtgq2wG/KVVLu6l+AKwyntpImYDMvBUgIkqX0i7a8q0j7SIzv139YqzVZOaNqzWNBwZK1NJuMvNpaqOHRMQEaiOIWbSoUdSRgSwi5gObr2HXx4D/A5wIPK+lRbWRofonMy+ubid8GNiZDvrtoxHD9U11zEbAAcAbW1lbaY30jZ4xoreOSGsSEYcC8zPzztK1tJOIOBD4AHBJZt5Uup7R0pGBLDMPXFN7RLwKeBJ4D7Vbls+NiA8BF2XmXS0ssah6/TNo/0PAcRGxD3AZsFtLCmsDw/VNRDwPOIfavIU/taaq9jBc3+hZfOuI1klETAemA8eXrqXdZOZ8YH5E/EdEvC8zzyld02joqjlkmXlTZh6dmXOBLwB/ycy53RTGhhMRJw3avA/4u1K1tJuI2BQ4GzgpM++LiK4aIdOI+NYRrbWIOAg4EDgO2CIiphYuqS1ExMuqvlmlo/4/qiNHyIYTEdsBR1MbIfsocGZmeo++ZuuIOB14hNpE7XcVrqedXEHte+ar1VypfuCiohW1iYjoBd5PbSrAP0XE1zLz54XLKiYzl0XEe4HPRcQi4LbMdP5YJSL2Bo4Atqx+Bp/eKU/KratqAv83gZuAq4Eear8I+rQ7LAdmRMTOwPrAS4Fjy5Y0elypX5IkqbCuumUpSZLUjgxkkiRJhRnIJEmSCjOQSZIkFWYgkyRJKsxAJkmViPiXiOiPiBeXrkVSdzGQSVIlMz8FLC5dh6Tu05ULw0rqfNXLh78L7AJ8IDO/GRFfBrYDfgOsoLa476bAMZn559XOnwqcBVyWmbMjYhZwcmaOq/a/CPgE8CDwQuBrmXlZa/51kjqNI2SSOlJmPgUcDjwHuLJq/g3wPuBH1WvUTqra3r+G82+g9i7XVdtzVjvkK8D5mflh4L3Av1cvnpekETOQSepYmfkYcAnwj1XTTpn5K6A/Ii6MiLOA/YGXjORzI2IysBdwVEScC5wK3ENtpEySRsxblpI63QXAZyPiNuC6iHgh8G3g7zLzoYg4CphW59yVwHoAEbH+GvZ/JDMfrvY/F3hilGuX1CUcIZPU0TLzWmBD4FPA16m9AB3gservrYc4/SFgy+rrVwz6zH7gp8ABABExHrgcmDhqhUvqKr5cXFLHi4gPAztk5tur7c9SC1g3Ai8FtgX+uWr7ELWHAY4GJgHfA34N3AB8GTg1M2dGxDbA6cD9QA/w7cz8YSv/XZI6h4FMkiSpMG9ZSpIkFWYgkyRJKszwXyT0AAAAKklEQVRAJkmSVJiBTJIkqTADmSRJUmEGMkmSpMIMZJIkSYUZyCRJkgr7H3N7AgblfI8RAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(y, label=['1st', '2nd'], color=['b', 'g'],\n", + " stacked=True, bins=20, alpha=0.5)\n", + "plt.legend(loc=0)\n", + "plt.xlabel('value')\n", + "plt.ylabel('frequency')\n", + "plt.title('Histogram');\n", + "# plt.savefig('../../images/ch07/mpl_17')" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "c5b0ef1f-17d9-485f-834c-ad016ac67484" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plt.boxplot(y) \n", + "plt.setp(ax, xticklabels=['1st', '2nd']) \n", + "plt.xlabel('data set')\n", + "plt.ylabel('value')\n", + "plt.title('Boxplot');\n", + "# plt.savefig('../../images/ch07/mpl_18')" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "def func(x):\n", + " return 0.5 * np.exp(x) + 1 \n", + "a, b = 0.5, 1.5 \n", + "x = np.linspace(0, 2) \n", + "y = func(x) \n", + "Ix = np.linspace(a, b) \n", + "Iy = func(Ix) \n", + "verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)] " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "c4621c85-1082-4bce-937f-013a68de8181" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.patches import Polygon\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plt.plot(x, y, 'b', linewidth=2) \n", + "plt.ylim(bottom=0) \n", + "poly = Polygon(verts, facecolor='0.7', edgecolor='0.5') \n", + "ax.add_patch(poly) \n", + "plt.text(0.5 * (a + b), 1, r'$\\int_a^b f(x)\\mathrm{d}x$',\n", + " horizontalalignment='center', fontsize=20) \n", + "plt.figtext(0.9, 0.075, '$x$') \n", + "plt.figtext(0.075, 0.9, '$f(x)$') \n", + "ax.set_xticks((a, b)) \n", + "ax.set_xticklabels(('$a$', '$b$')) \n", + "ax.set_yticks([func(a), func(b)]) \n", + "ax.set_yticklabels(('$f(a)$', '$f(b)$')); \n", + "# plt.savefig('../../images/ch07/mpl_19')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Static 3D Plotting" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "strike = np.linspace(50, 150, 24) " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "ttm = np.linspace(0.5, 2.5, 24) " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "a9064b7f-1ffc-497d-bcf0-5fe681e2e9ff" + }, + "outputs": [], + "source": [ + "strike, ttm = np.meshgrid(strike, ttm) " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "0a5797f5-0445-4bdc-8e11-5d88690a3b8a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 50. , 54.3, 58.7, 63. , 67.4, 71.7, 76.1, 80.4, 84.8,\n", + " 89.1, 93.5, 97.8, 102.2, 106.5, 110.9, 115.2, 119.6, 123.9,\n", + " 128.3, 132.6, 137. , 141.3, 145.7, 150. ],\n", + " [ 50. , 54.3, 58.7, 63. , 67.4, 71.7, 76.1, 80.4, 84.8,\n", + " 89.1, 93.5, 97.8, 102.2, 106.5, 110.9, 115.2, 119.6, 123.9,\n", + " 128.3, 132.6, 137. , 141.3, 145.7, 150. ]])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "strike[:2].round(1) " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "b9c92f57-c819-4df4-bc68-a71e0065dfdc" + }, + "outputs": [], + "source": [ + "iv = (strike - 100) ** 2 / (100 * strike) / ttm " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0.76695652, 0.58132045],\n", + " [0.85185185, 0.65333333, 0.4951989 ],\n", + " [0.74193548, 0.56903226, 0.43130227],\n", + " [0.65714286, 0.504 , 0.38201058],\n", + " [0.58974359, 0.45230769, 0.34283001]])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iv[:5, :3] " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "f8557d99-cba4-4ab8-9594-ac8050801dce" + }, + "outputs": [ + { + "data": { + "image/png": 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VVVbhDAaRhdEox+bnO1166bO59NJnAwr5fJEnn9zBjh1PUKhNhOqSF7zghTz00INNf3///fexbdtlACQSk4RCJjt3PsUpp5za8zElK4cUIKuERuEB1aZwptm9lwf03uJ+2FEFPynOdalLMF39DH6CCAqVL692CNfYe9ev34uIoihCimopQDpDURRisQnOPfd8zj33/BU91tzcHNForPJzNBpjbm52RY8p6R0pQASnnZcH0KOXRz8VIv05oXYqXmoTTKtJmL2ID6HXYFac5iZqy9fvFUVhaiouYHM+MSbTWkTOlxFJgAyTZDJJNpup/JzNZkgmp0c4IkkrZHG2oKiqF/WorW7RNJWJiQjRaJh8vsjiYnZAFSldbtWXE2r7Y3oVPCHi8SiW5TA/n+k5udL7flofa1yxLJtcrsDiYobZ2XkOHfKeFP08k2g0zJo1U6xfP00ymSAejxIOh4a+ni7uRC9mcjOMlwDJ5XLMzc0BcPnlV/DYY48CsLAwT6FQZMuWk0c5PEkLZAREMIK9PGpLTet7mfTjc9G7kFi5XjChkEk47DfFy47NTVQUXNclny8SVII5uuZ8Yk704goj0QTI4O4VP//5f/Gd73yLI0dm+NznPstrX/vf+Na3/oOnntrBO9/5Xq666kVs357mH//xMxw8eIA/+7MPyARUgZECRBDaeXkUCqUmpab9lpkOOwISvK1per1UbDs4kXbUlTfjTLu8kpVuzifqn12sSb4eL29GhKWzwXLBBRdxwQUX1b3227/9O5V/q6rKTTfdPOxhSXpECpARo2kK4bDRYJHsRQJCIZNisdTSy6Pf5ZDh39zroye1+SyZTL5sgDTAowlfhrs6adecz8srGVxzPhHnedEFiKhjk0h8pAAZIX6ORyhUFSDdeFxAv46mw5+c/WN6FvEhNE0llyusYAXGyi0XSZbjL8vU+kJ02pyvWZ6Pd36LN5mKvQQjxthk5FLSCilARkB7L49heVyMZnL2cwk8i/hS+w3wbqaqeuzdyES7N6/EpNVpc75aE7XGfiMiTKbLUSpt60VDRkAkqwEpQIZIkJeHX/rYr5dHL/S/fNPdTc53arUsuweL+JURS6MUAKLND8P8LoKa8ymKUikLrm3O559rmqYK1ZxP5ElerLEJprIlwiAFyBAYhpdHbwwnAmKaOpFICMuyKRSKuO7wJl+ZA9INo13qcN3gfiPT05NYll2Jlvh5JcNpztccUZY5ghBFgCiKIpdgJE2RAmQFCRIemublPqhqNfdhamqij6P0LiIGUc3S6h5XFVluJboTDptDH6tkdeO6LoVCffn5sJrztUKUST4IkccmkfhIAbICNPPy8Fqra+TzxboW7L1aonvb9r+M0uPWNHtiDhJZtcdU1V7873oVWqInoYo8NjEIuja6ac7nL9sMvjmfuH87KUAkqwEpQAZIMy+PcNjEND0vj/n55V4e/ZmJjSbLPEj4+A6mQSJrVIgdOZETxCDptDmfqmrYdv/N+bxrVsy/oUgCRC7BSJohBcgAMAy13P66PtzrJV36Xh6tXD37NRPrjd6jET7VG0v1sxYDRVb1mL0JArGFxLGBqDkN/Uym/Tbna3VckSb5RkQem0TiIwVIn2ial2SpKJQtrGu9PGwWFzNtk+P6XUbpT0T0ftza8uFOP6t4SyIijUUyDLppzlf7Xn8Zx3/QEFWwgdhjk0h8pADpkfqSWhdFUWvsxJ2uvDxGV0rb+7aKohCNhnEcp6vy4X76z/QeypUiozPG2/DLzyupN1Gr5pV4kRLvYaNUslBVjVDIS34dtINvP4gVKRRqMMLyTSM10gvvulJ6JH8oKUC6JMjLQ1UVTNPAcTSy2XzXSW7epNx7Mugwt/UTTDVNJZ8vVqI+K02vE9Bo7OYlg2V0wqhVXsnkZBzTNIlEIkNuztcarw+MeEJS0hzFGM+blBQgHRJcUqsRiZioqopt2z17efRzc+3nybCbbWsTTHO5Yvmpr5cSR9GWYEaLFEftEW05wc8rAZf5+SUcxxlqc752yPyP1Yeqj+eNQAqQNgSX1NZGAQo4jtuzvwX0uwSz8ttGIiamaVIoVBNMPQfXXo7ZTxLqYC9S36dEUWKVCWKYplaizRHiiiExB1Y70Q+7OV+n4xo1sgKmM7SINuohjAQpQJrQiZeH38dE07S+LrR+KzxW6hpv3Rhv2JGMwd1QVVUhEgmjaSrZbJ58Pl9JPqw3tapvljYOYW1B5q06xC13bb80tBLN+dqOSiABIukMuQQjAYKFR9XLw6iLAlTp72LvN4rRuxNq8HE9I6dQywTT3iMZw/Utqa0SUhQIh0OYpk4+XyKTyeE4bmWdv7ZZWn3yYXWSqJ0gaisiJONHr0tDg2jO13pcUoCsNrTI8CsZRUAKkDKappQnq/rX/QZqxWJQFMBjEJPqKCpZGtE0lWg0BCgdJNMONwLS7+eslgtbbTxZPIKTD9UG7wjv8qlf419Z++9xxLu2ju0JtZPmfLV5JY2ipPZ8FkuAjOeTfbdoISlAxhJF8cTH5GSU+flM5XV/+cGybBYXsy3D7/1Ojp6A6e0EHEQOiLckEULXNXK5AsVi++z94RuK9SZ4VNUrj7bt7sqFg6hOEsGipNH+exDh9OEi7kQvzHxaZhiJsc2a8/mixDCCm/N5AmRlxyYZLKo2nkJtrAWIVsn7qU7inSw/NNJvBGQlEiw7RVUV4vEYhUKRTKa5g2kQwxQS3eLneei6X6HU3WfrlGBRUrX/rg2nNy7feIznjacbxExkHJ1Y88+fXE3RXW1zvlDIQNM0TDM51OZ8kt5RDZmEOjYEeXkAxONRgJ68PPqhH6+KXsWPF+EJATRdWmp/3OGFDTuNnDTmeZRKFro+3PBmM/tvP1ISDoeYmIihaSqmaaDrWmVSGaWhlWjlrj7iLCdUEWuZo745n22H0TSNbDY35OZ89YyqT9VqREZAxoBgLw+13DLes1LvpSmVT+838OFdqH6Ex3NrzZJIRIfahXcle7oE5XmYpo4IUYagcHoiEcNxwHWdcqO0KKraW+KhZLiIKtagKo66ac7nC5F+mvOtFrLZDNFobNTDqEMzZA7IMUtzLw+znPdQRNPUvm701WqU3ibzlUbTtHKC6aAiPL0upQx+O133PpvjuF3neaiqMtKnWdu2yeWqy0ONiYexWO0EUW9oNQ6IFmnwEXVc0HpswdE5KqKkn+Z8TUbTxycZLH5E5gtf+Gee97znc/rpZ456SBUUGQE5dqkVH56jp4lh+KWY3s0/HDb6uqn4J3dv0YR+c0iaH7uXBNPOjjncCEjQdrV+HrlcIfCpTfQuuo1jC4qUNHfZrAqSUVp/jyfiJux6Vuydi3C/vLzf5nxB4xBpCcYfyy9/+Ri2bZPJZNi8eQvT09MjaehZi6rLHJBjmmpugEGxWCznPVR/3+tE5ZQs1LJHxChLaRtDwlXvknqh1cm2ohPk57Ea6fQ7D3LZrH9qXV6i2VsoXbxJVdRzU9RxweCiM90256t1di2VSgOf1B944Kfcc89/kkwmURSFN77xzXW/37fvGT75yY9y+ulnsWNHmhe96FquuOLKZft5z3vez8aNG/n61/+N73znW5x77nlcddWLRrosI5dgjmFCodrcgMF6edhLGZSpRJ9RjP4jILWTRyhkEg773iWtPS96XTrq5/P2s123fh7HKs2eWqslmtVQ+vKcEqvp5Cne1ymeKILVuwTTL+3ySsLhED//+f287W1/wimnnMLJJ5/KaaedzmmnpdiyZSuhUKin4+bzeT7ykb/m1lu/gmmavO997+TBB3/GxRdfUnnPl770ec4993xe/eob2L79cd7//vcEChDbtpibm+XCCy9GURRuueUT3H77V7jmmpdw/fWvwTCMnsbYD8qIIzCjYiwEiOO4HXh59Dah6lMJCrv3MXHm1pG4mXrbe09kpundAGy7vXdJ47bDvJf2cnP0w7+mqXeV5zFumfjNSjSrXiWeb0RQkzQRvyZRIw0ie20MWxw15pWcccbZ3H77v/PUUzvYvn0HjzzyMF/72peJxSa45ZbP9nSMxx57hI0bN2GaXs+tc845j/vvv69OgCST0xw9ehSAo0ePkkqdvmw/S0tL/MmfvIVnP/sKfvrT+9m69VQ++MEPc/75F/KLXzzMRz7y17znPe/vaYz9ICMgxzDForXM4bSRXr04FEXBWlgc6RKMokAsFsF1XTKZfJelnL1GQIbjz1Cb5wH00XF4fPFD6blcNZRev77viRLXdQCFaDTSR9LhoBE1AgIijgvEEG2xWIxzzjmP88+/pP2bO2BubpZoNFqz/wm2b0/Xvec1r7mB9773nXziE3/Hr371S97wht9btp9isUAsFuPUU1PcdNNbK4IGIB6Pc+DA/oGMt1sUVUD130AqlXoh8ErgEOCm0+kPNPxeAf64/OOzgKl0Ov3GVvscCwHSCf14cdiLGUbRZt7vyquqKvl8kXy+2H6jBvpzJu2NThJ2g/I8pqYmej6mpJ6g9f1w2CsF1jS1knToOO4yA7VhihIRJtNgxF2CUVVxx9YryeQ02Wy28nMms0Qymax7z1/91Qd42ct+kxe96Frm5uZ47WtfwVe+cgeJxGTlPaqq8cY3vpnnPvf5ABQKBWZmDjM9vYbJyUne/Oa3DOXzNCJ6EmoqlYoCfw+clU6nC6lU6mupVOrqdDr9/Zq3/TfgaDqd/nx5m3Pb7XcsBEgn12I/oXpzw1qWHn+KyKlbetrep9ObbX0lTxFw+3A47E04DdvPwztm75VGkvbYtlNerqy2JPA6t3rLNxMTVVFSX4EjQqRkuIgrjPwqGBEGN7gbxNlnn8uBA/spFouYpsmjj/6CV7ziehYW5tE0jVhsgkOHDrJmzVrAi2Yoirrse8hklkinH68IkFAoxAMP/IQdO3bwjne8m2RyemBj7oZVEAG5HNiVTqf9J5YfAdcBtQLkBuDOVCp1M7ARaLveNhYCpBNqu6Z2S2TrZo7++11ET+tdgHSaDOo1xzMpFkuVSh5N00aw/NNPF97gG3g/fh7NjzVeOSCDxu/cms/XV0L4oiQW8zsFu8uqbwYxCYoqOEUdF4g9tl4Jh8O84x3v5qMf/TBTU0m2bj2Viy++hFtu+Rjx+CSvf/0b+OM/fhtf/eqXeOyxR9i/fx9/8Ac3MTU1BcDOnU/xjW/cges67N+/n/vuuwfHcVm/fj2hUJhoNDLSzyd6BARYDyzW/LxQfq2WzUAinU7/ZSqVOg1PjJyRTqeb5gRIAVKm3yf60sLiAPrBNH+qMk0vgdBrjpdpuLn3LwaGtV15a2rFVid+HrXHPLbureKIo04nLr8SonbJr748s1aU1Ce7duNPITIiT/Iij60ftm27jG3bLqt77aab3lr593nnnc95550fuK1llTh6dI75+aMcPHiA22//MpnMErlcjvXrN/La194AjK7v0CpIQj0ExGt+TpRfq2UB+ClAOp3enkqlEsCJwNPNdioFSJl+n5S1WIzC/oNQVty9H7/+xqHrGpFICNdtHhUYjBgYHv546/M8imQypfYbS4QkuDxTbXDX9G43jcs3rUSJjF51jygCRJS/neu6nHpqij//87+kVCqRz+eJx+OB7x3VmFdBGe79wOZUKhUqL8M8B7gllUpNA1Y6nV7AW445GaAsPjTgQKudSgFSpl8BMnnFxcx8826mb/itXkdQd3y/R42qto4KQH9j7z0C0t/35Xft7M7Po/uKHbGdUEc/SawkwZ2C1ZqS4DCJRLVBWu0STq3QFmEybUSUSV7SHkVR2L79cQASiUmefnonpmkSi02wYcNG/uu/HsA0DZ773OePbMlWHXLDzG5Jp9PZVCr1R8DHU6nUYeCRdDr9/VQq9SFgFvgb4P8DPpRKpd4LbAVuTKfTLduQj4UA6SwJtb+JKnzCBp751RP0msLkj9FLMA1hGBr5fJFCYaWjAsONgOi6Vi6p7c7PA1ZSTIyu1FNccbQyBIuSav8b79yPVUSJn5ulaapQreS7tTsfFlIYBbNjxxOsWbOWH/7wbm6//cts2XIyS0uLqKrKU089WVnKcRwHTRt+PsYqiICQTqe/C3y34bV31fx7HviDbvY5FgKkMwZgBqaqWPOL6JPB4b3W27uEQgZB17NAAAAgAElEQVS6rlMsFpmfbykcl23bawLtsCIEtXketu2QyxWGNKEMf4mpU+Q84eE4LoVCqU5s++6aXhRQIZmcrOsU7P/XnefN4BA1F0ksgzRxrrsrrngeicQkpmly5ZVXceqpp1EoFAiFQnzta1/huOOOB0a3BLMKklBXBClAygyiIVzyORczd9e9rLv+pV1ta5oGhqGXHUwbE0w7OXY/JmgrG3IMyvOYmBhtxnkjok4mw0ak78F31/Qbmh096iV5+8s3Xiv56DJR4reVX3nENUiTEZDlxOMJCoUC559/IY7jYFlWJSfpqqteSCTimZyNrCnduIVCy0gBUmYQAmTN8y/lFze9v2MBYhhegmnV7MnusXRxNE/57St3Wvt5dH+87rcTOwdENMT7omqf6Jt1CvaXb0Ihg4mJCKqq1fW98a+twY9LvIle1HGNmn/5l1vZv38/yWQS0zSJRCKYZoh169Zzxx1f44YbbuTss88dYQ6IjIAc07SbiPqdqFwXwhvWUNx/CDuXR4uEm763mmCqkM0WsCybSCTEsEtpvW17X75plhS6En4ekmEh4uTVuodTkCjxreZN0+sUrGkatm01JLv2LkpEihbVIooAEc1/Z/v2NJFIlGKxyMzMYQqFAoVCHlB49NFHMAyz7T5WEilAJH3hX3DxC89m/p6fMn3t8i6MtQmmuVyx7qbZjxX8qC72xghIt34eEkk7epnoa03Ravfj+5QYhidKajsF10ZLOhuXGBN9I6KOa9S89a1vb+py+oMffI+NGzcCoyzDHc8bohQgNQzC6nvyuds48q27lwmQSMTENE0KheAE0/4iEb3TX1M5LwKiKG4Pfh7DWYIROQlV0gmDybVwXZaJEqCyfFP1KqmKktplnNUyp0sBEswTT2znzDPP5pe/fJRSqUQ8niAWi7FmzRp2736abdsuHen4FBkBkQzCaTPx7It48u0fxLVtFE0jFDIIh/08iEzTm8OoEkn7i7x4Dq29+XkMBxltWd2s9FKHL0pyNU2WPUGilb1KvE7BXvO+6vKNqBO9KOPykofFKS390Y9+yGmnnc6HP/xBkskkrgv5vPcguHv307zqVa8Z6fhEWq4aJmMjQDqZiJq5kXZ+DBdjMk7ohA1kH3yETS+6AsdxOsyDGL6dej+I6ech6Qcx8xqGf6J4lTQWuVy1/42fU2IYOuFwCMPQmZyMUyqV6uzmRz35iyJARON1r/vvTE5O8qY3/QHXXnsdAKVSCcsq8ZnPfIpIRPaCGQVjI0A6of9KGNB1lXVXXc7ct+9h8jkXd5zoNio79W4/8+D8PMTowKvrGuGwUZecKBEHUcpKvQiIXREla9dOsbCQqfTACYej6LqO4zh1yzfDFiVi+YCIw4YNXo7H1q2nVO53pmmya9dOXve614/EfKyOVWBEthKM56duQj8CRFUVFAWi0TDx51zEga9/r6ss+1HYqXeDokAkEiIej2JZrZeT2tH7sk9vQivoe1VVhVgsTDQaxrYddF0jkYixYcMa1qyZIpGYIBKp9i9ZKcQKvYrpbSEmCrbtCZLFxQyzs/McOnSEubkFCoUiqqoyMRFl3boka9cmmZqKE4tFME1jxX13RBBsINa5ncvlmJub5ctf/iLgRbkcxyGbzfGhD/3ViEcHqqaN9L9RISMgNfQykVeNtgxc1yGbLRC58FxKh44w/6MHmXzOxV0cezhRjG63be7nMfybTK99a2oJh01CIYNCoUQmk6dUKtXZalerJRoTE0sDKeGUdI6oSwrNxmXbNrZtk89Xl280rdr/Jhar7RRc3/+mNw+gelRVGch+jiUWFxf51Kc+TjgcZt++Z7j99ttQFJV43FtCi8UmgNGWDsskVEnXJ2BjgmksFkZRQIuGiV94Nvv/4csdC5BRPnk2+8jt/Tx6jYD0FnHsdx7ykwpt264TUo1/82oOQP22jb4S/ZpdieaVIOmcbvJl/E7B+Xy1/40vSnS9UZTUJ7t222/GE0bSd6eRDRs2ksksoWk6u3btYmlpkXw+TywW4zd+w2sgOsprUZbhHuN01pCuswmhOpE5LC7mKjcJb0Lztk9ccTF7//c/Uth7gNAJGwd27EFTO2aflffzcBn26p/nkKmQzeZ7il4s95WoN7uKxZbbgo+yV0kviJiEqiggYM+3viMzviiBelFSXxLs3Z5rBUk7UeI1yRPhjyjOhBqPx7nxxjcBsG/fM5W+LyKhjDoHZUSMjQDplFYTqqZ5EQEgcCKrFRFTz7uEvR/5Bw7801fZ/Od/3Pa4g3Bi7c20qXrcoL4tbbZmmDeaXkSa5zDrCYhBdhYONrsK7lXSmJQonWG7QQHG4/vyRUl9p+Dq8k0kEiaR0FEUli3f+OeUqEtWo8bv/ZJITPLQQw8SiURIJCY5ePAAe/fu4eUvf8VoI5JjmoQqBUgN3gm4/ETwIgIhdF0jlytQLLaPCExcdA5qNMzBL/47J7zj91tas1eP3c/JH2yL3ul2zfI8Wm7Zo2gaRtKsaXpRKr8KodnfbJC06lXil2/G49VW8+A1XVNVVcjW7iIw7itUjuNQKDSKkmr/G89ZuXpOaZqGYdh1okTi5XUdOnSQu+76Nvfeew9HjswQi02wZ89uXvCCq3j5y1+BbdsrnnTeDBkBkSwTAYqiEA6b5YiAl7DY6faqoZO45HyO3v0TZv71Tjbc8FsrPPbeIiCapqEo3oQ9vL4tKxc50TSVaNQTe/7nmZwc3WkeJEr8CSQa9db+16yZAroLta/giEdwzFaI90Q/6iiD47gUCqW6iJ6qKuUn/IlytGQSRRndkqBIuU3+fTmd/jWhUJg//MP/wZ49u3n5y1/BN75xR8WBemSdcJE5IMc8neWAVJ+4QiGTcNigWOwuIqDWnEiJKy7m6N0/Yf9nvzIEAdKdiVptngd4k3Xvx+x2u94jJ2qTC9Xrs2NiGPqyKNUgHG4HiT+B6LqOolgsLWXrQu3RaHhFKyWaI95NUKB5rIJI55KP43hC13VdFhczWJbddEmwsf/NuFR0WZbFSSdtLl9XXkQpFotVHFFHKppWQQQklUq9EHglcAhw0+n0Bxp+/wbgDwH/Sf3/ptPpW1vtc2wESCf4/VgSiRi2bbO4mO3qht84IU8+dxsA2V9uZ+EnPydx2QVttl/5p6ugPI+pqYkVO95gCY6c+NVIxaLF/Hxm+MMaAEGh9tqkxGblmyK4b640on28ftySV5paI7JWS4K67ouSCKraf0WXyPj35VLJ4tChg2zcuJHdu3dx1113cv/993H22efUvW8UiL4Ek0qlosDfA2el0+lCKpX6WiqVujqdTn+/4a2vSafTT3e6XylAyvglp6qqsriY6zFUWT9BTpx7OtpkHHt+kf3/cFsHAsTt+emqfz+P3rqO9hK2HNSFXlsmXFuNdKwQlJRY9ZQwmJiIousajuPWPdH2KkpEfLIX0xxNvGUhn3ZGZM1ESX1FV1WU1C4LdidKxAld+feobdsuZdeunWzdeip79uzh4x//W1784pdy9dUvrnvfKFDET0K9HNiVTqd9g5sfAdcBjQLkf6RSqQNAFPg/6XR6ttVOx16AqKpKJBJC01QKhSKhkNnzOmnj0oKiaSQuv4C5O3/I7LfvprDvIKHjNrTaA73ecFsta3Tm5yHijb4e/zMqikI0GkLTtJZlwjVbIurn61aHBXtK1PYp8S3B7WXLN4LOmS0RURSJOCafXiKowRVdVUM+3/umtlNwrdgVnWKxiGVZxONxzj//Qmzb5pWvvJ5XvvJ65ubmME1j1ENcDUsw64HFmp8Xyq/Vcg/wzXQ6fTiVSr0U+CpwdaudjpUAqS85reYM+EsRftJp7/tf/mQ/ecU25u78Ia5lc+Bzt7P5vW/paHw9HJ1+/Tz6KeHtll79QzRNI5GIVlxMO9pK0OZ3g5rEgtw3g5qnNbaZXw2Th0hP0j6jTkJtxaDG5rrLvW+AyvLNcpdgi1KpxBNPPMHateuJRGJ9j8HngQd+yj33/CfJZBJFUXjjG9/cMFaX22//MgAHDuxjcXGR9773/6n8/vbbb2PPnt0kk9OYpkk4HMYwDNauXc83v3kHN9zwBs477/zRluGKeIOq5xAQr/k5UX6tQjqd3lnz4w+Ar6dSKS2dTjd9oh8rAeLjWXGbFIulck8T7/X+m9EFCJByHgjAwS/8Oye+/fdRQ8EiZ1D9YHr38+ithLf7sXa/nWFoRCIhXJeuc3PEZmVuPI3N06BWlBjlPjf1T7SjDEE3Q6TeJj4iC5CVxj9Xal2CfUHiOA4f+tDfkE6n2bTpOE477XRSqTM444wzOfvsc3u6t+XzeT7ykb/m1lu/gmmavO997+TBB3/GxRdfUnnPd77zLSYmJnjJS14GwI4dT9Tt4+mnd1ZEx9zcLKVSiUKhgOM8yq9//SshIiCKJvxUfD+wOZVKhcrLMM8BbkmlUtOAlU6nF1Kp1F8Df55Opy3gVGBnK/EBYyZATFMnGg1hWTaLi5mBT2JBT9qxM07BWDtNaWYWa2aOmX/7Dutf8xsdb9/5sT3xcqz5eaiqQjQaRlUVCoUSmqYeQ+JjuASJEj9K4ldK+CXCva/9S0bFqISRnysC8PGP30KxWGTXrj3s2LGdxx9/nHvvvZsPfOCDTE+v6Xrfjz32CBs3bsI0vYe2c845j/vvv69OgNx1151cdtnlfPWrtzE7e4SXvew36/Zx441v4vjjTwjc//3338emTZ4z6kirYAQvw02n09lUKvVHwMdTqdRh4JF0Ov39VCr1IWAW+BvgAPCpVCq1EzgHeH27/Y6VANF1ra3XRT8lm80iGIkrLuLIv38XgP2f/XJTAdKPP4aqKpimiW07Pfh59Bp56TUC0plwiURMTNMgny9SKJQwDL1SNtzlEWk9zlFd/KMXUrVh9lgsgqIoFArFwITEUflJiBZtEHFMIM64DMPgtNNSnH76mbzsZf3ta25ulmg0Wvk5Fptg+/Z03XsOHtxPJpPhd3/399m9exdvf/vNfPGLX0Ur51Ucf/wJuK5LPp/n7ru/z+7du9B1nbPOOodLL322EJE/0atgANLp9HeB7za89q6af3+s232OlQDJZgttJz5fRPR2IQdPdJNXbKsIkMwjj7P4wMPEt53f9Njd4Od56LpGqWSRzXaWF1F/3K43qWzXey+Y5htWXUzthijOcH1HxpVmFvPV0s1GP4nSWFnMi5qEKooA8a7RwVxwyeQ02Wy28nMms0Qymax7TzQa48wzzwbgpJM2k81mOHToIJs2HQd4Je6qqnLXXd/mBz/4HlNTk9i2w513fosbb3wj11338tEbp6niC5CVYKwESCcTUbeGXp3sf/KKbXU/H/nyHcQvPm/Zm7uZKBvzPCzLbmrS1dm4h9nTJfhzappXkaQoSmAUR4B761jSrcV8UI+SXqn1tRAFUSb6RkT6rgZ1Pzn77HM5cGA/xWIR0zR59NFf8IpXXM/CwjyaphGLTXDxxZewb98zgCdQHMeuW+7xIxyPPfYIH/vYLXX7f//738O11143Mgv2CgJEYUbBWAmQzhh8JnTk5BMxT9hIce8BAI784AG2PPkw7in1viCdRkCC8jxCIYPenzp6u2sNKmu8VkzlcsW6iU4iJs0s5v2ExMYeJf1ZzAsyq1YQt6RbRGHUD+FwmHe849189KMfZmoqydatp3LxxZdwyy0fIx6f5PWvfwM33HAjt9zyMT7/+X/kmWf28r73/QWhUKhuP67rYhgG2Wy2sqRTLBZZu3bt6MUHrIYy3BVBgG9eLPq9fpst4Uw+52IOf/kbABT2HiBzzz1EN58JRihoN4G08vPoJ4ox7CWKWuHiiynP8j7T8vvv9TPKJZjh4NuB14uS5d1cgZpy4FJZlAT/4UVc7hBxTCBuZKZftm27jG3bLqt77aab3lr598TEBO961/ta7sO2bdasWcutt/4TW7eeQiwWY8+ePeRy3S9ZrwgBTVDHASlAGui/FDf4BjX1gssqAgRg5tEDPOux+3AuuLpm22Bn0U78PHwX1R5H3cfE3vt3FY9Hcd1m5miBR+zxSCvX/O5YYiWW4YK7udb2vWlnMS9etEHUiV5VxRnXyHMqGtB1neuvfy2f/ORH+e5378SyLC655DLe9rY/HfXQPGQE5Nink2tzcF4g9QdLXv0cFEPHLYuHmR//mi2XxOHUC2EiWRlfnZNqV34evU+yvd+zerH7VohEvKhPPl9cJWZY48MwJrBmfW98UeL3vXEct5wXFKZYLAnT90ZUASLquERgbm6O//zP7/Ge97x/1EMJRjDBNizGSoB0wmDC9ct3oE/GSVx+IfM//BkA+aefITMP0Ye+h/O868vHXr400amfxyA8RLrfrrtj+h2G/Tbi3YqPY3Ep5Vj7PL3SzGJ+zZpJVFUt973xzK78ZRvfo0ROuh6KogjikSPeSX3kyAxf//q/sX79etauXc/atWtZu3bdqIdVRXwjshVhPD91CwYTAQn+3fRLrqwIEIDDO5bYEv81zsFdsGEz3lKISiIRbdG3ZWXG3RudRV283JUwtu1UXEx7s7xfWd+RYSPnzdb4XiNLS1XTQF3XKomu4XAosO/NSkfVvIlevJJjGQFpzqZNm7j55rdRKHheIJs2HcdZZ53DiSeeSCgUHvXwxrYMdzwzX1qwEnbsPtMvvrLu55n7PUMd7cHvoCqeRbyuq+RyxR7MxHpnpSIgqqoQi0WIRsNks3kymVxlIhFVFEjEo3ZOtSyv583iYobZ2XkOHTrC0aOLFIsldF0jkYixYcMa1qyZIpGYKHvkDPY5S9SJXtRxiYBhmJx33gVcfvkVvOpVr2F+/ihvecvv8YUv/DPA0Iz1muJ12RzdfyNCRkAa6DexstXEGjphI7FzUmQe9YRHbsduMpmLiXGA0N5fYp1yIaD09AQ30kZKAXj9dgzy+RKZTC7gHd0nGK6U8ZlEZNqfI8F9b/SaRNfavjf1yzc9jUjgKhgRIzOjxDche+ihB/nGN+4glTqdn/3sJ+TzOW644UZe8IIXAlRcU0eFK5NQj306T0Lt5xithcD0tVdWBAjA3NN5YmfpFO6/E3fDKRjTyabbtj7u8HNAgvBu+F6/nXa5K8O6kYsdbRFnYIoCos1fvZ4jfn+S2qZpviDx28trWtVivvr/TkSJmJEGUYSRSA9C/t9p797dPPzwf3HCCSdy881v59RTTxvxyBqQZbgSWNklGPAEyJ4Pf6by88Ef/ZoTzjoHJZ+BH98BL/vdXo9MP1Uw/d4zVFUlGvVcTDOZfNsbeW83ypWJZIzuhinAbFGHAoilQAb5twmymPc7BHt9b6Koqtq2741A82sdcglmOX5k49xzz+fTn/5cpSmd/z2JIpbcMc0BkQKkgUFEA5ptrqoK6y87n8jm48ntKlsHP76TbPZ8olEbZffjWA//EE6+qOtjjuop33VdotEQhqFXmsZ1uCXDW4KRrFZWckKt9R7xqbWYr+17UxslEXWiF3VcInDaaacDXmRM13VhhEcFGQGRQP+TnCdg6k+mRj+PqWueS+4fbqv8fuapHCed7VWFFH/ybZhYB+tP6n0QPY25+w9tmgZ+46lOSoXrjzlMMdE8cqLrGhMTkXJ5p//UWxKknFEybDrpe2OaBoahD8BifrCII0AEm9zxkkxVVRXDdj0ImQMyHrSb+Aa9BBPk5zF97ZXsrxUgDzzJSWef4f3gOGj3fQ37pW+GcKzncawkmqYSjXqla47jks8XhnbjG1S1jm+IZhhaecnIqiQsGsZEC2dOybAQZUJtFCVr1kyysJBFVb1k11qL+cblm2GKElG+LxEZdZJpO+QSjAQYnBV7q74ticsvQJ9KYB1dAGDp0SfIFc4hEvJCwUp2EfVH/4Zz1Q1dhQma9aHpdLt21E7auVyBYtEikYjSi11276W//d9gQyGDcNjrPzM/n8G2HSyrFODM6T3pVk2wPL+JYrGauHisIeevTlBwXYdCwS4vOXqZrvUW8+FAi3nLat73pu9RCSBA+k3iHzQzM4cpFApomicUFUVFURTi8TiPPfYImzdvIR6Pj3qYuHIJRjIodF1D07SmfVsUXWfq6ucw87VvV16beSrPiWdU/xzq/qfgkXtwznt+x8dt1oem0+1a0Thpd7OtKPiRG9d1WVzMtXw69Zw5C+TztaWdWnmCMYhGw3VVFM0SFtsh0ncn0lhAnKqORppN9M0s5v2SYN9ifqWiayIIEA9xTqTPfe7/ks/nWLNmLbOzR5iaShKJRDAMk3vvvZs/+7MPiCFAVkEEJJVKvRB4JXAIcNPp9AeavO8G4AtAPJ1OL7XapxQgA6Ka52Hgui4LC5mW759+6ZX1AuSBJznxjFT9Ph+7F2X9ibibtnY4il6bd7XOkfAjOcGTtvjupK4LpqkTChmVyE0tnY6j0W/Ci3QFJyyKlBuweunlXF55uhFGvsV8cN8boxxd03Acty5K0osoEUeAiIPrOpx//oX84hc/p1AoYBgGjuPw4IM/Rdd14vHEqIfoIZr6byCVSkWBvwfOSqfThVQq9bVUKnV1Op3+fsP7zgDO7HS/YydAOpn4ul3KqM3zyGSylfyIViRf8GyUkIlbvjEt/mI7+cKZhEPVJ2jFdVHv/w+cl7wRN9L+Qul1Ug/azuvAG2oZyennmL0Ll27/NjqRiIltOywsZAb6RO26taWdXlvv2oTF+vbzpWVPvOLNFWJN+KstAtIpzfreVBNdo4EW85Zltfw+vHH1PKyB4Celi8Lv/u7vs3btOnbseIL3ve8v6n73iU/8b0zTGM3AGlgFEZDLgV3pdNoPCf8IuA6oCJCySHkX8AfAezvZ6dgJkE7odJILyvNQ1c4uQG0iyuQVF3P0+z/2D8rMriInnFZ/IirZBdQnfopz6iW4kcmOxt099WLAdzEtFEpkMvm2W4so3msTZb2nz+HcnOsTFpfnBtQ+8fqREb+iQtKIgCdWhcGeTLZtY9t2kyU/r/rGMPSym6tVt/Tn4wm20Ss2kUpc/YZzu3fv4rHHHmXLli2oqkapVGT//n0YRi89qVYA8XNA1gOLNT8vlF+r5a+A/5VOp4upVIpOkAIkgE56nEQiYTRNXRYd6MbKffraK6sCBJh5cCcnnHbK8jcePoAeegjrpAvbipBe8D+v99Qewrbbu5hWtx3uEkwneS6RiFfynMsVKRZLhEJGWRiOhqDcAL9Bn2kaJBIxdF0fmFX4sYIoE2ojw4o0BFvMV/OQvD43WkWU+L8f9/MmiMsuu5zbbruVjRuPIxqNsmfPbhKJBKYphgBxFOEjIIeA2mSZRPk1AFKp1IlAEvidGvHxtlQq9a10Ov1gs51KARJAs0hCo59HJrPcdKubLPDpa6/kqXf9TWU2XXjocYrXpzCNhhvIwV24Gzei734I68QLcKNTXY27Harqqe9IxCSbbe9i2ogo/Vl8G/hSqV5AdSN2lvIKTxwMseOgyQWb85yyodh+ox6wLJti0TO1mp9fqoy/6soZKbty+mH4UjnJdeXySURd8pBUCRIl3jmjAyEmJ+PourYsSjLuouR3fud1HHfc8fzkJ/dz8OABLr30Ml72st8a9bAqrIIlmPuBzalUKlRehnkOcEsqlZoGrHQ6vQd4g//mVCr118DfySTUHgiayIP8PPrF3LCWiQvOZOmhX3ovOA6ze2w2nlz/PsVxcJeyqIko+h5fhCzvGdNLVMGPFgAsLGS7/gze1zDMJNTliba1NvBLS/muK1FsB3bNGDy+P8T+OR23/Hnu2x7F1F1OWtOpu2t/tHLlDIdDxOMxFKU2ybVUTnI9NlWDdw2K9dlEFGl+onM0GuHIkaN1ydFVMdt/xVaniLQE45PP50kkJnnTm95MMjnN3NzsqIdUh+hluOl0OptKpf4I+HgqlToMPJJOp7+fSqU+BMwCfwOQSqXW4eWAALwrlUp9Op1OP9Nsv2MnQDprSFedHFv5ebTbvpNjTb/k+VUBAhx+aBcbT968/I37d0PidBTHRt/9c6wTzsWdWNt4ZDoVA15yZqgiqBKJWI8lvMOt+28ULtWuu61s4IO/l4PzKjsOGuw8rKOrDvmCWxEf3rEU7v5VjBeds8SmqZXI0Wj99wpy5az3mqiWdfreJKVSqW2y4mpCvM8hnigCvxNuNeLXTMzqen3F1jAjbKMil8vxjW/cwfe/fxdTU1P86Z/+GR/60Ad561vfwcaNG0c9PGBVREBIp9PfBb7b8Nq7Gn4+DPy/5f/aMnYCpBNc10VVVWKxSGCeRwd76DhTfvraK9n9V5+s/Hz0Z7+k9FtbMPT6G4GyNIdTtFFNDcW10ff8HGd6M/b6UyoJTJ1EFWqTM+sFVa8lvL3Rr+FbL/kqAAs5hacO6ew4aLCQqz51FNGIRyxsx6VkV8dluwrf++UE156zyLrE6MPYzbwmfNO0cNjLJ7Ftuy5S0mmXV5EmVxGfpEUtdW03rk4s5pdH2LxlnNUuSg4fPsT+/c/wrne9l7vuupNkcprf//0/4rbbvsD//J/vGEj/r35xhU64XjmkAGlAUXzzIK/8NCjPox3VxMz2N6po6mTCW04kv3OPt61lcWSvw8ZnBex3dhY2elndCqDN7kLJzmEdfw6Y0ZYXkudiamIYeqAXRu8mZsO/eCOREKqqdJyvspSHXTMKv94bYWax+ZPGYl4nGbc4Mu8JDx/LVvjuYxO85LxFkjHxbsbNTdOMiivnctO00qqYWESb7EVcgoHehFFwhE2pLN94rsfLRUlrbxvxJtJCIc9JJ23muONOIBz2LRJcksnly9ijYjVEQFYCKUBq8PM8HMelUCh10dm1nm7zG6avvZJ9n/pC5eeZh/ey8VknLH/jgadx1q9DrVkuVPMLGDt/ir3xdAgHLN1Q72La3AtjuBGQXgiHTTRNpVgssbRUaPneXFFh96zOniMalq2yb66zNdajWZ31UyUOzKl1TyUFS+WuR+O89LxF4hHxJ+5qsqL3c7X1vFHgmbAAACAASURBVEEoZBKPR5dNLKJOriIhdgSk//04Tutlv3pvGz/R1Xv/oL+WBx74Kffc858kk0kUReGNb3xz4Pvuuuvb/OVf/jl33fVDotHost+HQiEOHz7Mbbd9gYMHD7J37x5+/OP7Kq0UxIiAiJ0DslKMnQAJukga8zw0TUPXez8huj2hp19SL0DmfvIopZedtHwZxrZws3mYqDc6UxwLfd9j2MVF1OPPqLze3sW0dsy9l8WqPXxV/jJXJ/glq7ZtV6pHglgqKOyd1dl9RGdmsSogVMVlbcJlZqGzD3gkY7Bpusi+2frLI1tU+c6jE7z0vEWiof7vtsN1g13eel5VlUpJp18SbJoGxeJy07RRIOZkL6ZIX8mS5aBlv8ZcpL/92w9z7733kkqdzmmnncHpp59JKnUGU1PBFXvtyOfzfOQjf82tt34F0zR53/veyYMP/oyLL76k7n1PP72TnTufCtyH/32cdNKzOPnkrXzxi59HVVVuvvkPueiibbztbX9a+SyjxpERkPGjmZ+HqqoD7Yjbjvi2c9HXJrFm5rztiyWOPOOwMSigcWAPnHJq8I5mdrGohiEyyeSatRiG2XH+Sn8mZitzASuKQjTqubH6yy0TE5HqkV2YzajsndV5Zk5jLht8ETuuQtFyiYcdFvOdjXVmyeS4ZJF9c/WXyGJe4zvlSEjIEG8i6obGSN/UVJxCoYjrujU24csdOcfZNE3UKNGwxVqjKHnLW97Kq171ah5/PE06/Thf/OI/k07/mre//T1cc821Xe//scceYePGTRWfjnPOOY/777+vToDk83m+9KXP8853vpdbb/2nZfuovZ9dffU1XH31NRw4cKCSeCpSM8lV4AOyIoylAGnv5zGYjrgdj0fTmH7RFRz6l/+ovHb4wd1s3HzS8vfOz+CUTkE1AnxKgGhxgaOuwkx+CSMcx4jEVzS8OEj791r8ZaNGN9Z80WXPrM4zswbzOZXZJYWi1X4ABUshFnIJWS6FDt4PMJMx2ZQssr9BhBzNatz16AQvOnuJsCngbNQHniiptwmvdeSsml9ZDcmKg0/QFXGyFzMqM/pxKYrCxo2b2LTpeK6++sVAfxGZubnZuuWUWGyC7dvTde/5zGc+yY03vgnDCLZT//GP7yMWi6FpOg899ABr164jmUySySxx7713s2nTcbz4xS8VYwlGwITrYTB2AkRRFBKJaEs/j36v415O6Olrr6wTIHP3P0L+ui2Ew8tv7O7cLKxfE7gfdf4g6po4jgPF7Dyl/BJGeAI9FEPVmqvsQdm497td/bJRlqLlcmRJY2ZJ49CCzly2PjcjOWFz6GhnWeSZgsrUhM3heRXH7WzMsxmDDZMlDs7XXyozSzrf/EWca85eWhU5IZ0R/J00M7+q+kzUlnSWKiXB/TfhE2+5Q4R+K0GMWoAE0c+knkxOk81WfYkymaW6pNGDBw+wuLjID37wvcprX/7yF7n88udw+uleL7TFxQWi0Sh33/19vvWt/2DLlpM5cmQG23Y4cGAfN9/8dsCL5mgt7o3DQEZAxgSvU23rss3BKOLutp+88jLUSAjHv8k7Dgcez/Cs8wMa2+1/GmftmuDcC9chWlpiyUyUf7QpZucpZufRjDB6OIZuRgam+AcVAfGqdEI4aDx9sMSheZcD82HmslpLsTCf09iUtNg319kFfDSrsSlp88xsZ+93UZjPG6xPlDi0UH+5LOQ0vvlwnBeevcTa+OhLdAdDZ5NYK9O0SCREIjFR875ST/kkIkZAPMQblDgCZDD3lbPPPpcDB/ZTLBYxTZNHH/0Fr3jF9SwszKNpGhs2bKxrLvfpT/8fXv3qG+qiJi9+8UsBWLNmLTfddHNdrscDD/yEaNQ7R0XIAZFluGOE47Q2z+pXgPRizqVFw0xeeSlzd/6w8tqB7z3MSeddRmMbE8Uq4uYKEAsF7stYOgzJ+DJlYJfy2KU8BUWBcBK0ECFDxdDUoSZE+hQtL4cjaxks5HVmFiFTUACTeMjmSEajkxvabFZnfcLi0EJnomJmSeP4aYtnZjs7/R1XYb5gsHGqxIGj9dvkSip3PhLnqjOXOC4pzppyL/Qz4bczTYvFPNO0atv5UgcdXkWNgIg1JvCNyI6VSByEw2He8Y5389GPfpipqSRbt57KxRdfwi23fIx4fJLXv/4NAMzNzXHHHV8D4Etf+jy/+ZuvZN06r0fakSMzZDJLxOMJZmdncRwbXdeJRKJMTk6xceMmQAy/mXGNgCitLqbDhxfFu9IGgKa1nmy9ZZpYpUdHt3jNz9S6kHUnHPzSHTz5P/9X3WtnvfsVrFm//OlaWXscyubgsluA/NRJZI3lJWmV7VWdGWcKUNBUiIUNwoYKroOhqWhqZxemrmuEwyZLS7nA3zuul3+RLynkLYVCSWFmSWexoJIvtX7ymAxb7J/vrF22prjoqs18k0TUIKajFvuPdqPBXdbGSssSU8GrtLnitCxbu+gdEwqZRCIhjh5dbP/mIZBMJshkcnUiYtDUtp33/2t04/TzSXz/ksXFzIqNp1s8bwyDhYXe7g0rRSIxQalU6vqeM2gURUNVxXiu/cQn/o6ZmcMkk9MoimfWp2kayeQ0d975Td7+9ndz1llnBz5wrlsXH6oq2fnkjpHOtVu2njISFSbGmSIY/dqL9xpNmL7meTypqlDzJHPgp3tY8xvHLT/GzD7c4zfT7Fo3M4fJTp7UdCCuYxHXiyxaIWwHFrIlFmp+rwC6pmDoGrmSiaqCpoCmupWIjIu3ez1jUygqLBV0SraCZSuUHCjZSjnhszoGTXEpWkpb8QGwkNdIRi3msu1PU9tVMFSVkN55kunRnMaaCZsjS52KFoWZjMlxASW6jqvww3SUbFHhnBO7mQRG//Q1TILbznvN1Br7lriui+t6xoCimKaJHAEZ9bhESOasRVU1zj33AuLxONmst+yey+UoFAq4rhPoGTIqHMF7wawUUoCsAL1eiMbaJNMveR6z37y78trsfQ9TuPZEQo0dcgF3/iisCa6zV0s5Qk6BghaQQ1LGdDKASdAk6AIl26VkWxQcnVyp1anioKBSclSyxdaTue0qTMUgd9ShXfmui4KLQkh3KFjtL9B8SWUqZnNowevj0g7HVSjaKpPR7iInM0ueCNk/qzWs3So8uDNKrqiy7eTc0Je0ViuWZdWVRPr5JLFYBF1XmZ6eDHDjLI2oCd/oJ/ogRE2OHSWve93rSSanKz8vLMwDColEgm3bLhFrCcYdzyWYsRQgnUQofBHRy82mnyeBze9+M3Pf/RFuOQzuliyOPFnkuNMDTtB9T+NMn78sR8QnkjlCIXF884M5Ngm9yIIVnEviEzMKbQSIJxZipkW2qNBOWCzmYWPC4cBCe1FRtFWmojYHF+ojKc2Yz2tsmuo8KbVoKxiaymTEYj7X+eUws2SyMVni4NH6ihpFcdk3q/Cvzyhcd5lL2Gy1FzljBOHnkxiGXu5wnC2bplWt5Q1jos5cbVimaQLMVYGspBFZd4jzBfni48knd/Ctb32dQ4cOoSgKmzc/i+uvfw2RSKTNHobHuCahjmfcpwNGkZQJED51Kyf+3m/XvfbMXQ8Hvlcp5nDzzdfr1cIihtN6Pd+wMyhtJkLLdpkMtc9tKFgKayc6S8TMFBUSHZavLhY0Nk12nuA5m9XZMNl5VUrJVrBclWS0uyTSIxmDdZMOuuqiKi7JcIG5Qws8+EiWnz/h8sl/h30zrfch0oQmQhi/lloR7/uTLC1lmZtb4NChWWZn58nnC6iqysRElHXrplm7dorJyQmi0TC6PvjnK9G+Ix8RxqUoihDRBB//+7j11n8in89z0UXbOO+880mnH+fjH/87sYzIUEf636gYywhIJ1SjGMONgKiazok3vYoDX72L4uFZAHJPP8PckUtJrgm4YA4fgJNObLq/SG6OUmx9i8HaJPQC81bzpRoAXSmioLftWWDZLiHdpmC1jkC4KEQMWMo7OO5g80HAEy3dLK1YjjeGZMxiLtP5ZTGf05mOZNm9t8gTM/WCam4RPvMNeOmlcMkZy7cVcB4TjlaTqteEr5lpmlExTWuMkth27yXTolabiCBARMO/B1tWiXe+872V13/7t1/NO9/51hURqL0iIyCSOvoREb1uGwqZJBJRosedyAl//Jq63x34r33BGx3ei2M3v/Fo2Vk0t7XS1zuIgtguTEfbV0c4rsJkpLMbfLYI6zv0z/DzQcId2p87roKrqMTDnU8WlqNSsDWmY+2fjDTVJWHmOLD3KD97tMhCzmXj9PL3WTZ8/cfwlbuhx96GY0svl59vmLawsMSRI0c5dOgIi4sZbNsmFDJJJhOsXz9NMplgYiJKKGR25QMhqjeJqkoBEoRlWWzYsIlf/eoxZmYOc/ToUZ55Zi9btmzFcRwef/xXox4iAI6rjvS/USGOBBwinVyn/SzBdLtttdmaw+JillhsgnUvv5wDt91F9lc7ADhy988pXvUSzMYGdYC7sOT5fgSgANH8AouRgNmxMmCHKaPAXKl1FMSxS5iaTtFuHVXIl2BNzOJIB5GEpaLKVMTmaK59pKJoq0zFHA4eVTt6YihaKiHdIRZyyBQ6u8hsRyHvaqydKDGztLwEWFcdolqB7U/mWagaNZLNK+QLsGWTy879y/f7yJOwfwZecxVsaPGnkNSi4Lr9RRtct9Y0zbP0rzdNq+3u2kkTPvG8ScCPzIx+XCItwYDXL+YXv/g5O3c+xamnnobjOOzc+SQbNx7Hbbd9gZ/97Cd89KO3jHqYqyICkkqlXgi8EjgEuOl0+gMNv3818JvAw8A24PPpdPo/lu2oBhkBacIwIiCqqhCLRYhGw2SzeTKZXPkmoqDFp9n8jtdV3uvkCxx6sskj9DNPtrz56JkZ1DZhY9XKoNL6PS6Q6CAXBMBxbXS1k8lDQVXdDt8LCzmV45KdT0oFS8UwlGaebYHYrkKmpLM2Xv2+Tc1hQsvy9FPzPPhovfjwcVyF3YdUNm9QMAO01+F5+Pv/gIee6HwsksHjJ7lmMjmOHl3g8OFZjhw5Si5XQFGUcj5JkrVrk5V8EsPw/qCiRkDkEkwwxWKBdevWcc011zIxEScajXLGGWcRj8d58skdwiyniR4BSaVSUeDvgT9Jp9N/AZybSqWubnhbBHh3Op3+EPBB4O/a7XcsIyCdsbI17eGwSShkkM97N8K6I7su2sQaJi/YQvKaZzN3148BOPCfv+SE1LnL9qUUcriZPMSDs7oV3549lGg+INchGSpxpNB6prZsm5hpkSm2PnVsR2E6VuLQYvuZv2irrJ2wO6qKATiaVTqOsIBXnhsLudiO05H/CHhiIlPUWT9RYClj8evtBQqlzs6HvTMKyQkvcXK2wWOsZMG//hC274FXPs8lFutol2PJMEtLg1rO1zfhC6HrOq7rlrtls2JN+CSDIx5P8Kd/+udMTS23KyiVSjz44M9GMKrl2OLHAi4HdqXTad/A50fAdcD3/Tek0+nP1bz/FKDt+pYUIE3wniYGL0C8MsIQlmW37EmjmiEwo2y++bc5evcDuMUS2e1Ps3D0AhJTATe9vU/inH4WahPRZCwdAnO5PXstSnEJDaPtxRDRCmRQaRdAy5cUEmGLhXwnSzFax6LCpezfEbGZ72DpBjyL91jYC+l34ikSNSwK2QIPPl5i07TbsfjwmVvyoiAnrXfZfWj57x/bCU/ts3jVVUVOW+4zNxLEfLof3YCCmvBNT09iWXaNaZq6zMl12KZp4kQ/xFtGMAyDfD7HXXfdTzgcYXp6miNHjrB3725uuOFGLr/8OaMeItCZb9GIWQ/UPk4tlF+rI5VKRYC/AJ4P3NBup2MpQFY6B8Tbvt5HRFVVotEQiqKQyeRbPjn54keJJgkfn2Xjf385+z/r9TvY//PDJF6wPIlAyS7iZksQCzaeUByLqJUlazR/5HZdh4SeZ85q7RBoOe7/z96bB0u6p3Wdn9+75372tc6pvbLq1r30Qm90325waBkEHRTFhRmVYZCQMQwncBxiJFAJY1SYRkO0GR3REHBCJcRwQscWjYZGoFvshu6+t7asU3X2fcmTe+a7/uaP9+RZc89TVedS5xtRUVWZ75bv8vt93+f5Pt+HkVjAbrn9RK6rPoroLMzny85Nx3wpUBS60neUHYVE1EdWQjfWRogbLvl9m99e8ggHVMHKjuDaRMDqtsQLOr8pHE+wtie4PilZ2ZacvuQVG37+czVuX4Hv+gQMxDve9AvCxdI3XERCJGVYDly3qz+uJ7Esk0Qidso0zT3oDPzifshFPE+vGvXxd37+GT/3c/+YcrlMrVbD9z2WlpZ4//s/CIQi1YtQDfMqhaAdYhs4LjRMHnx2AplMpgr8SDqdvgX8ajqdvpHJZJrK71/9mb+gqIdae1+/LsiSWJaJYWjUag52B6UQh+QnkoLcOtPf93vJ/scvYS+vs/Mrv8PNT30bmtrgLWttHnk73TR1ZJR2qAxEWzIrxaugCROvjTNfENgdEQvXF4zEPLZLLR25APACQSoasFOgbblvfdumFnSVWikdlOfmyuH6AAJJwnDZ2LR5vFk/ryfP0equwuigpFAOKNe6Y6bL26H7q65JNrNnv59bhZ/+1/BtH4KP3rtY3iCvFheLEMHZaEO7JnzRaNiEL1zuiJS0bsLX3zFd4oiAPHnyGN8P+Mxnfvrwu0ePHjA//xy4GJ1w4T0hQv0ScDWdTpsHaZhPAD+TTqeHAC+TyRTS6fT/CvxUJpORwCowQqgLuSQg3eI8OuIahoZp6riu1zLd0mzfQlGRkSQakvTf/V94+Kd+HL9YZnvJZ+rG2WMTxX2EK8FofNyKV8MKbGot7NlBklRrZL3W4oQgkAxFHHYrrStnAGxPEjX8tjbtABVHYTzZuR7E9hTiVoDndx6dKNoqA3GfQlli4DK/ZPMo3/7a7OQF8YjCiBWwm+vu3siVBULA9UkaRkMcF/7dl+DdefiDb8NoY4f91woX8c2+k8m+kZ5EVZVDJ1fLiqFpGr7vn4iU9KonuSgE5CJVwNSJxd279xBCsLu7i6IIIpEog4NDfPjDIyeWe9XwL3gKJpPJVNLp9A8BP51Op3eAdzKZzOfT6fRPAlngbwEm8Nl0Or0M3AP+QiaTKTTf6mvaDRegXdRN18MGWeVyrettq2rozChlQLlc6zonHIkYSAm1moOsFZF7iwDs/9YcmT/3E8TfuMEH/8cGzlaAGBpHXL/RdNuBbpFLXW37mp0XQ22jIABVL4LdpiwXwFQlu2W9o8gGQFT32S521gkXIGH67BTVE7bozWBpAYHjsLnjsL3nU7W7e/g1VTI2IFne6mq1Q6RiEqNJNGQw6mGXKqSvafy+T1pErZc3QA4PD5DPFy+MsHJgIEm1Wjsxkb9qjIwMsL9f7MvMrI5Q5KofRktUNWzC161pmq5rJBIxstl838fUD4RQUJTOn9kXifpL3PLyEj/3cz9LLpfn7t17xOMJ/ut//RIf/vDH+N7v/ZMEQdCQhLzsbrhfelx4pXPtN91LXnbDfZlop/HoJQIihDho160SBAG1mt2TIO0EJzTjoGgQeAx+9DZXf+T7WPob/5hS6S3iDWzPZXYLpq8hjMYTl+LWiHplKnprwUFKrbLntRclJE2bnUr7rpK2LxhNeGwX26diACqu0rXz6XjSZyOv0kwMFzc8cjmH317yD0RfCqmowNQ9cqXOr7XnC9b3BDemJAvrsuskQb4c7uvmtGBlK8DxIGb4GLLKszkHCSxveHzxazbf+akI3/whE1V98ePDRYs4XJz+JsdxfmmhI5HrwZaFOCQlpmkQj0dRlNNN+LwzpaMXJQJykRAEAaqq8p/+03+gVCrx8Y+/TaVSxvNchBAMDV0sM573gAbkheC1JSDt0C0BMU0dyzJwHI98vkwsZvXlI1Jn5UIIZHQASmFTkcnveZvqwgYbX89y+xONy2rl5hqihT27WdikOnQD2aoFtFclpkUot7FUd/2g4+qVmhu6qWYrnbwlCQIJMSOg7HT2cNYb0W3kjravKpKI4rK25fNgq/42eXRd8hVBxNAYH/TZ2u9oN4dY3hbMjMNuTlKx2y9/EoLFTRhJKZiyzLtPqrin+GS5KvnFX67whS/X+EOfjvKBu52Rt0u8OLzIyf54c706wiZ8obV83Y/kdBO+i+OCenHSCPXxM5FI8Kf/9P/EG2+8efjdt37rt6Eo6onlXjXeAxqQF4JLAtIEnRKQ0MXUJAgkxWL18O2knzLe09EZER1Elo66ml3/4e9m7q/8HH4gUJUGA8/OKsHkFRS98f5F4BFzCpTM1kKDSFCgzADtfof0a5hqZ6mYQAZEdJ+q235ZXwosI8DxwfU7JCFVjcmUS76i4NouT567bVMsVUfg+iqz4wHLW90N5Ot7gqgJMynJSoNy2+YIGIs7rCzXyBd9rk5qFMs+e7mz+9/OBvzDXyxxe1bjD//eKNemX9Rje7FEnxfxzf5lR4nCJnzuCfF6qCcJ0zbxePSQlKRS8RPE5HVGffxWFIVf/MV/zvvf/wFGR8cZHR3li1/8DT7+8beZmJh41Yd5iIuuAXlRuCQgTdAuRRMKmkxUVaVatc888P2V8Z4kP0K3kHoE3DBWKzSVG//791L88u8wQGMhgtzehOnJpnvQi9uoRgJfNCcCMvAY0GrkvNZtqwNZT8VYtPMGCaQgZnjYnugo7Gh7CoOxgJ0iyDbLK0JiqT4rGx52zWdhEzolgZ4v2Myp3J6FueXuBu+KLajYgutTktVteSaScRrDMZdctsKD1aMFlzZ8VAVuX9VY3fSp2mdnubllj5/4xwW+8b7Bd3zSYmrs8vF92bgIpOh0E75IxMIwNBzHPbSX1zT1wJ/kyF7+omh7Xgbq2o4vfvE32NzcYH9/H8epAYIHD97hG77h/SeWe9UIuijv/92EyxGsCVpFQEIXUwPbdpqKVPuzcofTE6eIDiDzR46pWsJC/fS34P/2r6HmNs9uZHORYHwSpckVFjIgVt2nEB1peSyqV8IQBk4bQarrBwxFXLLVTpxPBSMxl+1SZ/7oFUdhPNG8MsbSfJyaT2bRP1Yiq3J9ok5COoMEFrfg5ozK/Krf9ZvuyrYgFQtFqlsNBKYJywenzOMmZfF+AM9WfKIRwa0JlecrHqdboUjgKw8dfvuhwzekdb7jkxGuTv3ufIxfphPqexn1PjDVqn3CNK0eJQlN00I9SZ2U1EuCz8uKvN+qwfNG3dvj27/99/P2258kGj2q6vsX/+KfMTERvpxdBPIBEFymYF4v9BKhqFsy+75PsVhuaS7Uj49I+DCf+jAyAPlNjofIReCw85E/wtDjX8VYeXhicQHI3R2YGG26H628ixkdwm4TtUgoZfb8FjbuBwgCl4iuUnU70IN4gvGUz1a+MyfTkqMylnAPK2M0RaLjsbrls3IYBDp50tb26iSku3TY8rZgdkJhfcfHbWJY1gz5g3LbG9OwuC4JJJh6QFyt8nS+Riea5EpV8nzFZ3RQJWKE0ZHTkMDXMy5fz7i8cUPj930ywu2rF6MC4XxxyUDaoZlY93Qq5mQTPpNkMn5suaNIyauO8JwH6gZjb7/9KUqlIpVKFU3TsCyLt956P8PDrV+8XjYuIyCXOIM6SREidDFVFEGl0trF9PS6ve337NuEUDWklYDaybLqFDnm7/1BppITJB79CuL44LH+nGB0FKXFHG8Vt7ATzVM1APg2Cc2m6LWPWEQ1m5qrdFRuW3N8EhYUa52RkKqnkDRc9gvwYMHD89uf4LU9lWvjPsvbsqMS3TrWswqDKYHnemQL3V1IKQXLWzAxLBFulSfPqqw0SKm0w85+yFZmpzRkIFnZbHzfPZr3eDRf5NZMWLp7/1ZvYtWLWAVzkXAR0i+N0OlxtTNNi8VC07QgkCdISeemaRfngv3tv/0T/MAP/Fn+4T/87IGAN4qqasTjcT73uX/H3/t7/zem2UWHyheMSxHqJRpAHpTVdu5ienzdfkKSjVYV0QHkKQKiumXiZpX16Y8xGB9j7Kv/BuEcaEWkRGb3YXSw6X7UWj6MgqitH0bD76xPjB9IhqM2u5XWuhEIJztD9dAUgRc0267EVAOKZcncKtgODMZkR+SjjvWsypVRn/W97tbbLwl0VePapM/iRsergZRMDPgsLRXJl3zS10yeLdnYTm+TV514zExqKMiGERGA56su//bzDv/y3zp880fjfOIb41jmxQgx94aLNeFfNIJWR5iC6S2V0tg0TT1hL6/r2pl+N6dfwoQQFyoF8773fQDDMHEch3T6HkHgU61WcV2XSCRKJNJ+fHqZ8F/TCMhra0SmKOGfZjAMjWjUwnU9KhW764FQ11UMwzjT6bazYwtbghcK5ROfSymRm48hOPnwe0aSZXkFgEhtn5nMv0fZWgzXUTXE+z6M0uL+DowoueRM21dOqUXIduANAuBjUrQ7SwlYmmS7pHMkYA1JR6UqebYalsoeh6ZC0vTYzHb30I6mAnbyAU6XjeUApocD1nf8tusORR2ye2U2dk5eo4GEytigSmax63rdM5gaVdFVWFw/Cq9PDEnKxRob20ckORpR+NSH43z67QQTo3rbPP3o6CB7e/kL06J8dHSQbDb/0pu7NYOqKgwNpdjZ6bJe+wUjlYrjOO4J/cd5Q9O0Q3NGXddQlNA0bXt7my996b9w69YtpqaunYum4stf/i1+7dd+lcHBQYQQfP/3/+CJ7//ZP/unZLN7DA0Nk8k84Qd+4M9y9eq1htsqlUrE4yfHrGfP5rh163bLY3jZRmT//nfcVzrXfscHm5RMvmC8thGQZnxCVRWi0dBe3PcDajW3p7ew/lIwTSIgQiAjA1DeO/G55hSIGDZVaVK1Bnn6vv+eodxzhp9+ATW3iVIsQbI5cVCcChG/SlVrbSgmvCoR1aTqtycWurBRhYrfQaVLzQv7xRRrKoWi5Nk6B2LSxifQ86Fgq0wOiuAYCAAAIABJREFUB2zsNVykIXbyCkMJyJcCqk53F2dtTyEVFwjpsdPAhj1huXiVCg+fNI6S5Yo+uaLP1WmdWk2ytdd7meT6AbmZHNOwdIln13jyrHrmnq5UA/7Dfy7wy79e4M10hN/7doIP3o+eCNmfJCUXqwwXLlrE4WJFZOqoi1BfJDwvTMUcN03TdY1iscgXvvArfPazf49yucLdu/e4d+8+3/RNb/Pmm291vZ9arcZnPvM3+YVf+EUMw+BHf/Qv8ZWv/Fc+9KGPHC5TrVb583/+hxFC8PnP/0c++9m/y0/+5N9puL3T5ANoSz5eBS7LcF9zhC6mBrquUa3aOI5HPB45Vx3HeawrooPI8tlZd4Q9Vjjq654duEn2wzcYz2VIPftNlHi8ZcTHKmxSG7yObHPMMVmi2oE3SCBhMNI6FWNo4Diwta+wtK2QigSs7HZeNpuvqVwZC7vUdopsUSEVA0MPDh1JO0W+IlAVjetTAQvr4T4juocRVMnM2R1NlssbHooCd67pLK971HpMywCYisviQhnTVEjfsFhas6nWzm5PSnj3SZV3n1QZGdL4lo8mePvDccaGdeqEQ0px4ZxH680cLwoucgrmZV+3up5kcHCEH/uxHwcglyvy+PEjnjx5xFe/+pWeCMiDB+8wMTGJYYQ6prfeeh9f+tJvnCAgf+bP/NDhv4MguHDplF7wuqZgLgkIJ11MC4Xy4SDTbynti8iJCiOC1EzwToZbdSePaYxiy2PRCSHYGrzL1jfeYSDIMWSvYdp7iNO1nYDwHRJ+mYLWOsXSqTcIgOf7DFgOuVo4mGiKxPehUFZY3lHIlU+KT7NlweSQz0aHqRXPh2xJHERCOj/X+bKCoQmmh33WulgPwoFidU/l2oRHuVDm8bOzDqbtEAShp0ciKpiZ1Hi+4tJN1mMoAcKr8eBxeA8UywG7WQ/LFNy9aZHNe2zvNj6o3azHv/rcPv/qc/vcuW7xyY/E+eaPDjI+lqBWsw9y+eH92zhK8nJxkSb897oI9UVjeHiEt9/+FG+//amet7G/nyUaPYrExmJxnj7NNFzWdV0+97n/j7/4F3+k5/1dFFyAy/dK8FoTkGYupnX0H8U4j6M8CxEfRubWT++RcXWfZW/s7AqKQl4Z4rkzTaAHXNM3GAs2sGo7J8iIlt9AGbpJ0Mqinc68QRQBgVSp2oJ8UbCwpVKutTcpK9VURpM+Ox1WnniBIF9VGR/02NrvPP/seIKdgsr1iYDFLXnQG6Y9VBGQ0iu8+7CGIuDatMHcUm/N0ooVSbHiMZRUGUyK0PejxUCkazA7Bg8eFfD8swvWbMmT56EvzbUrBqoKz1sc29OFGk8Xavz8v97jg/djvP2hOB94M4p20HdGSnlwPOG+wsfjZZKSi/VWeFEm+tO4qMfVCwYHh6hUKof/L5dLDA6eFdG7rstnPvM3+cEf/J+Znr7yMg/xheAyBfOaQddVolGroYtpHeddStvL+g0HluggFLbOiFG1WhZdH8KVZy+rBMYTNkv7MZ46V3nKVTTNY1grMKAUSFAkJkuYnk1Vj9Iu9J1QyuwHSUAhQMX1FSo1Qb6ispU3KDtH5CRuBbheZwOkFwicQGUw7rFf6oxQeIGgaGtdkxAQrO2pzI5JNrM+dkuBacCQWWN5pcJy6ei3zK/6XJ82KJQ89vK9iSWzhYBsAUYGVZJRwfyqd+bsXxmVbG9W+Nq7nYVbFldD4jE0oDI+orOT9djNNl7XdSW/9bUSD56WuTKuMDqk87EPJHnfGzF0XaFOBBSlTkqOfFXq2oMXQUguWkroouJipIbO59q/+eY3sLm5geM4GIbBu+9+nT/0h76HQiGPqqrEYnFsu8ZP/dRP8Mf/+P/AjRs3+cIXPs+3fMu3nsv+XxVe/fV7NXhtq2AAtDb0y7LC1EHd8rhbDAzEyeVKPa2bTMYolSpNxWVBYROKO2c+r5kjrAcNoiAHKDvmYUqkMSQEkCsrmFqAofoYmg8SHF/F8VVsXyGQCknTY3WvMw+PoZjP6i4dRxoiRoDj+JTaRE2OQ1PlQXVM90r8VAwgYOdULxYpA4YiNpsbFXb3mxMMXYOrkyrPlp2OzMZaYWxIIWoJFlY9ktHQW2VuobHjbjeYnTKIWgrL6zaVU1qRm7Maq2tViuUjUhuxFD7wZpyPfTDJN74VJ2I1vtZHpOR8UzcTEyNsbu62X/AlwTQNIhGTXK74qg/lBC5G9ZJAVc+nWeKXv/xf+NVf/TwDA4Nomsb3f/8P8jM/83dJJFL8yT/5ffzlv/yXmJ9/zshIaCZWq9X42Z/9+XPZdx0vuwrmX3zx1VKQP/7xV5NjvSQgLWCaOoqi9Fze1h8BiVIu15qWIBqqoLby7hnqLIXCin4br0l6RFMFS/utdR6mFrCda1/BogiJkD77pc5IyEjcY2m7c3IQtwJKle4qVhQhGUt4LHexnzo0VTKakiwdNKQbjXvsbpVY3erc/2V0UEFVAta2++u7oQjJrSlJqeiQWaidsWTvB4YuuHbFxPMk2bxDMgbPFlqXi+ua4H1vxPjoB5J84M04QwPNK6FapW66wfj4MFtbXZQ5vWCELRhM8vmLRUDGxobY2dl/xdGi8yMgFwEvm4D88998tQTkT3zi1RCQ1zYF0wn6ayjXJo3Swb4boa5b8X2JHR1Alk96EggZMKEXWXUad7r1fMl4vMZWyWq6b9tTmBryWNlrPaAEUmDpCoYmcTqwLN8tacyMuKzsdmi/XlMYiEv8Qmfbrx/TZkHn2qTH0kZ3DoOeL9jICq6NVFlbK/G1+e5JxM5+2NUhfc1gZdM9E2noBBNDkmKuym+/ExKfoZTG2IjG4krjKpdu4biSpwtV3rgVQUgfyzC4dTXCwkq1afTG9SRfeafEV94JCfXVaZMPvBnnA/fj3L0dRdeOCF9dyNo4dRPiRaZuXhQuqtbiIhzXe+UaXlRcEKublkin058GvhvYBmQmk/nxU9//CDABbALfCPyVTCbzpNU2LwlIC/Sv4+g9P3t630IIotFT3XdjI1A+a4pk1nZQRLKpmNRUXRRhtOxGW3YUhmI+2XJrslBzFSaHfJa2OztP+1WNsZTPdr6zCEWuojI24LGRlV2Vqq3va1wZ99nclbgdup/GDZtyvsyXnnmMDAgmRxU2drofGSRhUznLVEhfU5lfdTqqlIlakkHL5cncyWhENu+TzftYpuDebZPtXZe9/d4jLMMDKqbu87UHOQC2dsIUYzymcm0miusFzC+WWx7z0prN0prNv/nlPSxT4c10lA+8Gef99+NMjp111T3tlHmalJxO3SiKcgHz4herLPgSv3tw0XvBpNPpKPAPgPuZTMZOp9O/lE6nvzWTyXz+2GJx4IczmYxMp9N/DPg/gT/QaruvNQFpF+E4LyFpL4PW8X3Xy4Rt2z3RfVfoFtKMg30yzSN9lxErz7bf2ILdlzCdtFnJtyqlFZhGgFIRLYkKwH5F5epY0BEJkVLgBirJqE+h0hkJ2StpTA97rO52189lK68yNBBQKgfHuuSeRcxwqBVKPHx2NOPu5iSKgPu3LJ4s1PB7mO9rdkhEkjGN0UHBs2WXxpIeydWxgPnFClvV5oQnrHKxEQJuX7Ow3YDltc71SUJIbl81ePq8hNPAeLFU9nnwJEwvWKbC7etRhCJYWqtQKjU/ATU74OuPSpTLHv/oF9YYSGncT8d5Mx3j/t0YVyYbR9tOk5LjqRvTNC5EGfBxXAyx50lchOjHJfrHC/aROw98E7CUyWTqeoTfBL4TOCQgmUzmx44trwBt9QevNQFph/MjIL1BVRUsK4qUjcuEAUR8FGmfvc4xdxfEQFOGJaWHpXnUvOa3gO0pTA96rGTb53bzVcFQ3CfbgR7E8QUxU1BzOk+t7BQ1pkfCSEhX/VzKClEThk2fvVNRl5ju4JTLPH7mNqSIgYTHCw4jAyqKkGzu9hYnLZQlhbJkbMQgZsHzlSPSMD4oqRarPHjcuc5ESni2HI4D46M6QymNtU2bQqn58Y0Pq8jAOyQY7VCzAx7NhfeVImB22iKV1CiWfJZWT7quzkwa1Go+DzNh64BszuPXfyvHr/9WGGEZSGq8kY7xZjrGG3dizE5bKA16AwghDtsQqKpKsVhCVZUXInDtBRdxsr84x/TqCeJ7GRek+0ErjAHHB4/CwWdnkE6nDeBPA3+u3UYvCUgL9KsB6RVCCFRVQdM0KpVa0zJhAGHFkboF7skqCeG7jJgFdoNUw/UkMB63Wcq1vgXKrsJg1Ge/0ppYBFJgdKEHKdsqowMeG3t0HNXYLWpMDEl28z61LoSpFVtBUwXTIx5ru0pb4nFmvwfRkDvXNJ6veD1FQwB2sj47wLVpE0UEBLbNg0yxr7fq7T2P7T0PVYFb1ywUVfBsoXo4oKmq5OaMzuO5Us/HHUhYXqvBWvj/eEzlymTYHdrUBV99N99yAM0VPL745Txf/HIeAMtSuHUtQvpGlDs3o6RvRhlI6ei6Rjwew3EcisWQzDRqchbqR16+N8nFmeyPcBGP6RLd4z0QAdkGEsf+nzz47AQOyMf/BfxoJpN53m6jlwSkJV5+BMQwdCIRgyCQ2HZzj5LjEPER5P7qmc8T3i67ItmURXlBQMpyyLcsyxVYZoBSbZ+KqbkK44MeKzudiUxzFY2ZUZel7c6WB9grCgbiKuVqQLGLPn+eLyjXAkbMMl973Fxs2QyBhGcrAaMH0ZCNHqMhSInwbeaXygwPatycjfB8+Wwfl27hB/D8ICqSjKtMj+s4tk923+bBk94qsZqhVPYplTwcx2dz22FsWGdk2EBK2Nyx2c+1vmdrtYAHT8o8eHLUbHF81OCjHxxkbFhjdtrkxlWLeKzx8BRGT16NN8lFw0VMC12ie/T6cvAS8SXgajqdNg/SMJ8AfiadTg8BXiaTKaTT6QjwM8BnMpnMw3Q6/Yczmcwvtdroa01AOtGA9BNa7GYAPN4Er1Sqouta54NnZADymxCcHPiFbzNkFcn6yaarDrQlIAepmCGflb32mo18VWNmxOu40mW3pDM76rLcIWmBsCdL1BAMKD65cvtjimk2lXyFRwcGX1PjOsWiR67U/ci9kwsdbm/Pamzs+pQqnW9jNCWplSu8e5BuKVXCVMzEqEEyrjC3WDuXUGzNDnAdjydzJcZGdO7fibKbddna7TzN0wyqCunrFo+elg+PdXvPZXvvaNujwzojQ2GZ7k7WY3evvU5ldNjgP/3aDtVacOwzneuzEW7MRrhx1eL6bITR4bP3arcC115JST9t718ULkIE5HUgei8aF51EZjKZSjqd/iHgp9Pp9A7wTiaT+Xw6nf5JIAv8LeD/Ad4ErqfTaYAY0JKAvNY+IIpCywZt0J+XRyRiEgQBtt184BcCLMvEMI6a4EFoeqQoUK12JjKUxW1kYevs56rBgrjZkml5gd6yLPdgS0hftE3FAAgkGj57HfqDAAzHuiMhEPqVaIrPbqHxRUwaLuV89VAvcRyWARPDoTC0V5gGzIwpPF9tnZaxDMlw3OXxXKXlQDOYUhkfVnm+ZDcUiXaCq1Mqe3s19vbPRiEmRnWGB/Weycj0hI7nBGxsd2fMl4yrjI8aGIZCtRawsVU7LCceHNAZGzHIPCu32UqIeExlZspkdtpiZtpidspidtpkINW6Q/N5eJMkkzFc13uhbe+7hWHoxGIR9vcLr+wYwqolHUXp7vm9yHjZPiCf/dyrLa/6c7/v1Yh4XusIyItGuzcDw9CIRExc92QTvIO1CYXEHSI2HDqjnnKsEr7DuJllKxhuumonZbkgiJgB+Q5SMRKBooVOqrbXYaVLuftIiO0p+IpgYtBlc/+Y9btaZX+vwte3WlSUOLC4IblzzWBpzaEFR2y+fweerQYMJlSSMcHC2ulJXzI7GrCwVGZrvf2b837eZz/vE4uo3Lqms7HtsJ/vLDYbiyhMjAgeZZqT5c0dl82d8IfWyUih6LO6Ybcc/cKoR6RnHUmh5FMoHeXLFAHTkxYzkxbVmkeu4GEaAruDzsClss/juQqP5yonPk/GVT7ywRS6rjA5ZjA1bjI1bjA+aqCq4ly8ScJoQ/e//0XiIkRALtE/mjlevzy8mgjWJQFpg37NxBqp/RVFIRo1EUJQKlUbup12G9YUioqMDkL5rHNk1NlB01J4TS63L2EqabPasiwXap7C9KDPSgdW57anMJLy2Nzv3L+jFxLiBYJiTefKsEs+Z7O1VWVhr/Mw+fxawHDKQFcDVre6bGt7gP2iZL8omZnUcJyArb3gTLqlG5SrAY8Pym1vzFooQjK/YjdNz9yc0Vhdr/Io0/nxHycjibjK1LgBElY3bMrHSoGnxnV8LzhXHUksppKIqfyX38kdfqYoYSpqIKWhaWGkZHvHPmEN3wwRS2F6OsKvfDF/5jtVhbFhg6lxg6kJk4lRg/ERnfFRg7Fh/aDXzdExtErdXEQfEEV59QQkJHfdOw9f4ggXLLP30nCZgmnz3IQ9WRqXwLZDIyv3SCRMt9RqTsvUjK5rGIZ2wvejHaRnI7eeNvzOMQdZDSabriuA/VqEstOOk3aeigFIWS6ru2pXjqTdpGM0VZLUbZ4vlklYAc+W/Z4U5YoCN6dVMovNJ/pOEDUlEwMuS6tVdrPnpyxLJVRmJk3WN2vsHYg8U3FBKiaZa2Oj3g0UBWYmTeKxsHLo3UdFvHMUyKVvxdjcqpEvdrbRVFJjeFAnGgnvh3IlYHu3RrkSXqRb16Pkij7ZNsLXRhACBlMa4yMG46M612YiJBM6w4MaI4Maw4MauhZGPTRNJZUK07Gu614Y3UM0ah2ULHeWwnpRUBTjQpyP88LLTsH87f/31bLIH/6uSyv2l45OLnk40PS6/aNBStc1olET1/UpFCpt31p6GeCEZiKtJNTO5oMNe5+oMUhFNtZ6SGA0VqPsxGgdjhMYhsR0fGyvPUnI13Rmx7zuKl06iIRE9ABd1ng0V6FSDc/lDnBlQmMv51Huck4OAphb8Zkc1fF9v2vPD4HkyrDH86UK66sBigJ3bpjk8j7be71FVo4jX/TJFysHURGTmBnw9HmJ7e3zfXUKAnDcgL2sz/qmTTSicH3CxDAU9vMuG5tOTzGAaETh+kyUh0+7i6TkCx75wtnzNzasMzsTw/MhHheMDAXsFxx295yO0yRShp4l2ZyHosX5yoP9M2mgZFxldFhnfMRiMLVDKiEYSKoMJlUGUxoDSZWIpRxs79Kb5BK94XW9hK91BESIMETbCvF4hFrNwevhNbAexagbLFUqdsfb0TQVyzIolbqbSaVdRu7ON/zO12MscbXNfg2WsmettE8jqges7avINnqQOkbikvnNjhY9RKNISCriUStXefS01rSUNhGFiCFZ78FGHcL74vqkYHnDpZNGyBODknyuzMb22YiWEHBzxqBU9tnY6Z+IDA8IDOGxsFIjYinMTodN5RZW+q+gURS4fzvGwydFPL/xox+LKkyNm+iGQj7vsbHdPmJ063qMbM4m20AY2wtmpy1cXzlReVOHpglGhgwGkhqGoRD4ATXbp1DyyO67uN7J3zWQ0hgbjbCw0ruw1DQEA0mNe7ej+FIhEQs1QYl4+HcyoZKMKyRjCpZ5vqmKeDw0Kix3y7jPGarafsx4L+FlR0B+8pderQjkf/vDDbQCLwGXBKQNAYnFLBzH68iP4zSiUeuwuqVVuqUR6mW5xWKl/cKnIHfnkXbjkOy+OcN+kGj4HYSxj7wdoWi3D47FdL8jl9Q6kqbL6l53QbfhmMvqrsJAxGFjo8rSWmfnUVHg1rTGo/neJ5ZYBEZT8HzFa/jWH49IEobD42ftr5EQcP2KQc32Wdvs/l5ShOTmFZUnz0q4DSpk4jGVmUmDqi1ZWql1HaWYHNURSFY3ujtfpiGYHDOJxVRcJ2BrzyFf8A+/u30jxsNM6Vze8FRV8EY6wZPn1Z7IlhChK2sqoWFZCrGYgu8LKrWASiWgUPKp1LrfsGUp3LoeZ26p/b1p6IJ4VBCPKsRjCvHIwd9RhXhUMDCgYxkKUUsQjQiiliBmCVS18fyQSMTw/YBK5ZKAnCdeNgH5iX/1agnIj/yRSwLy0tEJAYlGLTzPOyyP7QS6rhKJWARBgBCiJxKhKArxeIRCofvcruaWcLYXGn7XSVmupsByLobsoArHUHw2852SEElU89hs475aR9TwwbXJ7lV5suD1NInNjsPalt9TlUsdkyMC2/bZzoaTk6pIJgc95ubLHVVunMa1aR1FgfkV53TRUkNMjCi4NYe1zc7IQSqpMj1uUnMClldrLTUciiK5eyPCk2cVPO98HveRIYMbV6O4rk++4LK951Aq9xeemRo3UXWN9a3uSoAbIRHXuDoTIzN/dtK2TMFAUiceU9FUeWD0JXE9iW0HlKs+hWJwGCG6Phuh6irs5/v7fSODKomk2TRqZ+iEpMQSWKYgYoZ/pxIGhg666h/8XwlbOBhg6gLDEJg6WIbA0EMC9CJwSUD6w9/4l01Cji8Jf/mPNWG4LxivNQEB0NrMhZ14edShKIJIJOxYW6nUCAJJPG5RKHRPQIQQJJNR8vnuCYiuazhrj5FuYwFrxRxns0VZLoCiqKzkou2PE4nvQa7aGalQROgRsltszPwUIUlZHjs7NpmFo/LQ2XHByoaL0wORGEwAMmBnv/fbWVHCtEy5WGNzq8LuOaQThlIq4yMay+s2pfLZY9M1uDohePS01HN6xTIVZqZMNBXWthwKx8SfvUY9WkHX4O7tOA+flE6IgYcGQjGpYSgHGhO3I+GoIuCNuwnmFu1zIUh3bkTZzQUU+yREAwmVq1cjlKugawJNDTl9EISutI4TUHNkGF2pyqbkWQi4dyvC8pbsqGNyM2gq3LpqsLjZvKIiYsJ3/x6Dj7zZ2jOlewhUtfNI6HsBL5uA/PV/fk7sv0f82J/QLkWoFxGdCsssy8A09RMdaxXlbB+LLvZMP7XZ+/H76IV5Yv7+me8ibcpyAYLAZzDisF9tPbBIBKYZYLqdiVIDKQgUhVTUJ3+skiZhejg1m7kFm0IDh9LlLcnYsEGl4rFf6G7y2C+CrincnoXnK71VySQtn72tKlt7LlcmNAolv2ezsDqyeZ9s3kfTBG/ciVIueyythWRgZlwll6vy4El/7qU1OziskhECrkyapBIKmgIPMiXc/s1RDzEzbSEDePfxWaFpXex5HBFLYWRYJx5VEQrYtiS777KfD5cbHdaJJ0weP+u8EqwZIpbCjWsxni70T7Zmr5h4gcrj552dPCEgYgkilnIQiRBomiBiqeiGiuvB1amQOLheGG1xHEnNgaoj20bJpsd1JArz683vx7duqXzPpw1S8cty2YuITiKhvxtxSUDaoJmXRx2aphKNmvi+pFisnDCU6cfKvd9GeFdGFP7t0h2uRne4ri8ijt3hQgZMKDsty3IBEqZNoabhtxGaur7CSNJnPSs6Stt4gYJpQEq6+K7H0orNg9324tzt/YCYpTA1StcCU9eDhQ2YHFNxnM6jIZYeMGDZZJ5VDkWvmXmHREzl5ozG3FLrFEcn8Dx5qCO5ddUiFYV3Hucols63QYSU4LoB+/uh+Vg0onD1Sljhksu5Pac3FAXevJvgUabUVLzaCNVawMraWUIQsRTu301QsyVCEdy5EaFc8cnm3EMH1W5w82qEYpW+yYeuCd64myQzXyOQnV8bKaFak1Rr4TpCwBu3oyxuSdy2N4/AMMLUiakfRFs0UBWBrkMqYWK7EikDBpIKIAlkOKEFAQgh+ZYPGXwgfTnUX2T4rzYD88pweVe2QStXxGg0TLdUqzVc9+xA8qq66YbWyII3p21+49kEq1aSjw89RfOPUkHtynIhDCVPpyos5+Jt91l1Va4Muay0qaCxNB88l7U1l/28j+d6ZLtwkS7XwHYVbs4oPF/pPma9lQVVCaMh82t+U2dPgWRq0GVhscx65SzZKZYDMgsOAwmNsRGVp336hwBcn1JYWc7xoBhGRdI3oyhC4dlSuaHwtBsIIbl7M0rmWfkwlVGpBjw75iGSiKlMjhtomkI257K13b7kdmrcRFUF7zwqtlmyMwymdEZGTL76sHHaMh5TGUypRCMqmho28arZAcWyz37OOxHdMgxB+mY8TOX1Ob5fmTRBUXn8vL9ozMiQRmrA5HkHzrh1uF4YGQkLXcIfMjupUbZVVk9UVp38kR+5r/LffcogFnmxg9DvJv+PV4XXtZT6tdeAqGprkmAYGrp+0hDMNHUsy8C2XWpt6jT76SWTSsUpFLqvIFBVlWjUoFis8utzEbaLGoKAj48vMyq2ETIctDopywWwfYPdcmcis9OiVIEkovt4tsvKhsvazskfEzUlmvDYPpspaovrEzC31LhCpROMpEBIycYp59TxlMf+XpnNLspmhwZUhlIKz5bsrlM8yZggFfF5Ot940o1YCtdmLGw7YGG5+wqX8REdTZGsrHcXAYhYCpPjBhFLpVYL2NqxKR2QMSHgrbsJHjepyukFb72RYmnNplzpLfKjKJBKaCQTKsODOgj1IKURUKtJSmWffKk7lqgdaFqeLbt9EUwh4I070b61HqYpuD5tsrgeNL0PhlOC7/m0Qfqq+lK8SYRQUJTz1pW8WrxsDciP/hP7lc61/8f3m5cakIuI42mUcGI3kfJsuqX5+v2YBfVq/3x0zG9N23z+iYpE4Te3rqGIGe4N7DEb2cZyCwyZRbItynIBYoZLsWZg++3vUU8qDFg2jiPJ5jwW1jyqdvP1KrbA1DWmRnzWd7v7nQubcP2Kxsqm19OgvpsPr036ms78mktMDxBehcdPug/VZ3M+2ZzPUEpndFhlcdWm2nZMkdy6ovJsvsTWRvPZrVoLDnufDKQ0psYMKrWA5bXW3h9CSO4dRD1O+190gmotYH7piHgLAROjJlemLCQBO7sO51G8l4ipTE9FeTTXvVj7OIIg7BVzZSrCg7nGUQ9VCd1V41HlUIvnhho2AAAgAElEQVShCAgkeL7EdiTVakCp4jM8qKPoGk8X+xPKjI/qJJMWz8/0CuoON67oFKsKC02iJ4qAb/5Gnd//SRNDFwfj0/l2BL7Ei8FrGgC5JCDtUE+jRKMWuq5SqdhdeYLUnVR7ucF6JS/19QAGogGzQx7L2fANJZAqD/fHeLg/RlKvcTOVQ5rhwBw00ax4vmQiWWZp/2QqRgiJoQJBQKXqk81JVncACYHvsl+k4fZOw3YFfqAyO+6zvNXdb13ZCSssZOCzne2tX8/qts/ssE+paPN4qT+dQF1YahoK927o7Oy77O6ffaMfGRCogce7j7qrcsrlPXIHIs1YVOHKpImUsLJeO6GPmBwzMTTOtYeLlDAybPDgSZGaHU6CiggjLAMpHU0TVGs+O7tOx1Umd27G2Mn6zC32LzSdmTKRQuVJC+8XP6gLYptvR1XhjTtxljZ9LAkTYxqmLtA1cdDYDpDgBxLfPxCNumA7AdWaxHHlgXYs1HosbUnyPfYZAohHBdPjJosbAc1eRq6MKfyJb7eYnTgSdofataPnr1lH4P4JySWZ6ReN+oG9DrgkIG2gaSqapmLbbk8lsVB/uHuZHHuzgT+93v0pm9V9jUCe3FjBtfjq7gRJ02VuVcHQAsYHfIbjPhHz7AOhODa5MhQrkCtBvgQnB5+jf8csnYGYQ67c2Q/wfMFuUeXGVMB8F/lxgGwRVEXl9qzk2YrfMdlThGQ8YfNsocTqwkFufTpsyra83p/fhO1IMgsOQkD6ehTX85lfsVEVyfUphSdPSz1FJY6jXAnIPA81HJomuDFrYZphSeijTP+6keMYGtAZGtR58OSk1iOQsLXrsrV7MkqQSqoMDegHNuWCatVnb9+lcCCsjVgK16/FyPSpqQDQVMGb95I8eV7FD/qLMkyOGxiWztPlcDu2Iw/u886hqIIrEwZWxKBUg4nh0ERNPeg9JcSxuKYM/5aEPWf8IBQlu16A60rGhnX2y7DSxHJf1+A7PmHyez6so7YJR7XrCHwZJXl1uBShXuIE6k6kELZKPt5Qrhv0E1rrbxA4Wi9qSG6OusxtNy6pLdgak0MuG1mVlV2Fld3G+VxVkejSYWu//TGVa4JUzETikm/gcdEIgRSs7yvcuhK2ue8GfgCLW4KZCY180Ws7aUykHDbWS7yzcjI6sbIRTqS3rhnk8n7D6EU3kJLDt/u71w1E4PacEmkFz5OUyh6ODctrNiNDOmPDOr6UrG86fVXU3E/HWViu8Gyh81REvuAfOqIeRzyqcvtmFM8PZ+E7NywqlYC9HitcJscNDFPn4Vx/TqCqAvfScebXPPw+zpWqwL3bMZY2JF4f5mRDKYXR0QhLm0fHoqhhdEY/+Ds9q/L7P6kznOq9tDYkJe2jJPXvLknJi8HrKkJ97QnI6UoVIcCyzEMLddf1SSbbG3I13/7Lf2gbRU7uTtgs7mm4fqPBSqCbGoYW4HjNj9UPBLquk4i4FKvtf1O+DKmohi9dSh2n9wWreyr3bmg8nu8+CrGRBVPXuD4dsLB2dgIYjntUCmXefdh628+XXVQF7t40Wd1wKFV6HyBMA6aGJV9/N4eUYSll+mYU35c8X6r2nf8VSO7dipJ5fhT12M267GZDwiAETI4ZDA3oOG7A6kato8k+mdCYHDd5mDmfNI6hC65djfJuptbwN8djCgNJjVhURVMFfiBxnIByJSBX8E64zioC7t+N82zJwcv1p9GYHDcwIwZzy/1FT6bGdQzD5HmX5Pk4FAF3rpus7cHy5lki5PsQsxS+9zuSfOS+jud5uK6P551Pn53WUZLws7r2rT5pXpKS/vFeiICk0+lPA98NbAMyk8n8eINl/ijwN4G/kMlk/l27bb72BOQ4DEMjEjFxHI9CoXw4SPbzgPVDQM6LvASBRFMkd8ZsHm5EGi5jewrXJnyerrbeX81VGBzQqDkebgei1HxFMBDTCHyXSgsx6mksbEhuz6rMr/pNm841g+3C6m5Yqru27VGzIRHx0bwKT550HvL3A8gsOFim4N5Ng4VVh1qXYvVrUwrrGxUeZo4mCNeTPJ0PjyOV0JmeMMjmXDa2uydco0MapiFaaj2khI1t53D7QsDEmMFgKnz893MumzsnJ/F7t+OsbdbIPDufNu9Xr1jYntLSVKxUDiiVm5+DWFQhGdcYHdbRdBU/ENy6ZuG4kpodUC77FCpBx6ZOqgpv3kvybNnBK/U+gesapG/GWFiXBF1W2RzHxIiKYeksbDa+xwTwsbfC0tp41MO2JbquEYsZaJqK7/uHZMTzvHPTFZyOkpxN3Vz8yfOiQ77aVjBtkU6no8A/AO5nMhk7nU7/Ujqd/tZMJvP5Y8tcJ2xKvtLpdi8JCGHflWjURAhBqVQ9V0FQP14g5+EjEgShSRFIbozUmN81qLqNHUvzts7smMPydmtH03xVZXZK8nzFpxMBWq6sMJTSCXIuNafzH7SyozA1JsgXPHpws2d5G4YTCmaizNfeLfVsGFazJU8WHCJWSERWNx2KbdJKybhgMCZ59KS1yUm+6JMvhumDK5MWqYTK9q7DTrb1W71AcvdWlKfPu9d6SAmb2w6bxwhPNKIwPWGRSOioSsDT+coJ2/ZeoWqCN+7UG8j1t71KNeD6VYP5NQ+niRBcUQSJpEbMCvughMJREAgCKUN9hRv65ETiJs9X3L6M5GYmDVB0nq/2PoEYOty8aoY26k0ibRPDgj/6aYObV8JnMwgCHCfAOdabINSraRiGTjRqIYTA8/yDKImH5/nnRhbCcUkFBEJcuqv2i/eACPWbgKVMJlPXIvwm8J3AIQHJZDILwEI6nf6rnW70tScglqUTiRhUq86Jh/k46pGIXh7eVxUBkVKiacpBD5vwuFUF3pis8dvLsabrBYpGzPIp11oPKrtFjVszAc865LrZksLooM7WntsyzXMaO3lBzNKZTQYNQ9LNoCmSQbPC3NMKNVtyY8Zibz80P+sV1VpIRDQN0jdM9nIeu9nT25PcmFaYXyyz2aWYdm3TYW0z/PfkmMnQoEYu77K2eTIqMDqkYRmCh+dY4VKpho0TF5bKh1boyYTK6JCBZSl4XsB+3mNn1+1YTj01YaKoKo/61GcADA/qDA2ZbUtigwDyBY98E96nKvBGOsHCuo+X9wEF0wx75kRMgWmG5bm6phyUGIdv+oEMK16Cw8oXGBsx2d4PI1oRU+B4sqmxXTNcu6JRdVTm1xt/r2vw335M57/5kNa0I24dIdnwqdXCOUIIga5raFrYHFPTNKQMDsmI63r43R4wdV2bcvDnMv1yHrjoERBgDDiuQC8cfNYXXnsC4jg+rltpSS7qkYjeXh5efolbEEgqFRvLMojHoweh2XDQmR3yeLbtka81vvSurzA1EjC32n4/O0WDqxMOS5udHddeUWFyRGdtxw1FiB2iXIOKrXD3mkJmsfUEqAjJSLTG4lKZ1WPh8PkVF12Hezct5hb7s0/3PHi6GFa43L0ZpVzxWNlwGBkQiMDlweP++41s7hylRYYHDcZHdSoVj4glmHte6bsPzXFYpsKt69EzaZxC0adQPEkeTFNhbFg/1GnYTkC+6LGz5x4+H4oC77s/yONnZVyv/2Yz9+/GWd7wWFrvb1tT4wZmxGTulPA4dBoNKJYB2t8YN69GcIVCZqV+fx3cy0Kg6iFpqDeoU9XQNr1eAaOI8G/TEFiWjusLYnEYH1XDxo5+GK0UhKXan/6I1rPIVEqJ47gnXqxUVUHTQnNFyzJRVeWQjNRTN638jU6Sj0ucF94DGpBt4LhhVPLgs77w2hMQ3w9Q2/RQO4pE9OYz0Su6LcOtGw9JGVCr+dQO0u3HQ7OxWISP3YFffqf5dgq2xo1Jh/mN9s3lio7O2IDDdq6zA90pKMxOGKztuNhdSB6khMUtuD6tsb4b6jpOLcFk0mVlpcQ7C43D864LmUWXwZTOQFzwfLm/UlspIbNQRVMlb9xQKJVcnp1Ds7PTyOY8FAUsXTK/6HD1ioWuC/b2XbZ2+puUb1yNUii6HfuF2HbQ0FFV0wQjQzoTYwaqpmI7PlemTApFj2ze66nZ1uCAxuhohLml/q6TqoQddefXfPxy78wzGhFcn40yvxYAjX+QlOC4nCKIR/8WwJ3rBjt5here8e+O7tmBOHzXpzS+4Vb7569b+H6A7zvY9pEeSNM0NE3DNMMXFik5JCNzc88ZHh4mErGQsh7xuCQf5433QArmS8DVdDptHqRhPgH8TDqdHgK8TCbTRUONI7z2BKQT9JsKUZTe32A6WbdOPIJAIsRZxnM6NBtTFSaSMTYLzS9/zdcZiLnkyq0HQT8QGF1UxgBs7gtGBjQKJZdipbvzup4VJOMaqajH1oF9+2isxvZWha8udiYk3M8H7Ofh+oxJqeyxcyaN0jmmxwS5vRpf+VpIBOIxhdkpi2wDYWcvEEjup2M8eVrEdsJBau5Y/5bBlMbEmEEgYWPTPvTZaAddF9y9FePhk1JP3YFPw/clIyMmTxcdHPckYVBVweCQRiKmEjFVFDV06azV6j1c3DNlyffTMVa3fRZX+yMfUxMGhmUyt9yf/uTOdYv9snJAPnrD+LBKNKaz3OS9UVXgk+9X+baPqpj6y0lthA0KvRPmioqiHPof/Z2/81N8/etf48qVGe7ff4s33niTt956HzMzsy/l+F4XXHQhbyaTqaTT6R8CfjqdTu8A72Qymc+n0+mfBLLA30qn0wL4UeAq8MfS6bSbyWR+udV2X/teMELQNgISi0VwHKdhw7l2MIzw7aJS6d5wyTB0NE2hUmn+Vn1cZNoN8lWVLzxNHAR7GyNpBTxfDc4YmDVCKuqzsdVZZUwdMUuC77KT73iVQ2iqZCxaZWmpyFofLpOqCjdndDa2nK76hEQtGEkGPH7avErkyqRBIqYyv1w7UULaKUaGVCI6LK52du8IAWPDoWEY4qC6ZfssCbp6JYLt+CdEqP1geEhncNBicbX36E8ippJKaAwPmximhueFhNp1A2wnoGYHlCoBlWpn10hT4V460VMV1XEMJBUmxiIsbfa+EVMPO/ourAdNj+XmtOC7v0VjYvhiRRekBMfxmJt7xsOH7/Lo0QOWlxf5+3//HxGN9m5PcNHxsnvBfP+Pb7/Sufaf/NWxVyLmuSQgHREQC9f1cJzuJzpd1zCMk83sOkUr8tIu6tEJHm5YzG03LsutYzDi82S5s+2NxD0W1vyOCEsduipJRDxWu3j+Bs0a2Z0Sq1ses5Ma+YJHtg9xKYRNx25M62zuuOTaVH9cnxIsLZUpdhjOt0zBtRkLxw5YXO2kWZ0MtSrz5Z6Iy3FEIwqTYybRiIrtBEQjKu8+KXYtlmyG+3cTLK27h9bs/eDenRgbu7IlydBUQTymYBoC81iVi3LgXxEEYYWLFTUplEM3UceT2Lak5siOG8oJAfduRljP0lWq8DRuXNEpOyqFJjw1FRd816d03nfrook55WudcnnZBOT7/lqXPSjOGf/0r41fEpBXBa1NIioaNfG8oGmVTOttq1iWQanUfSVAM/ISBJIgCHomHnX4AXxhLkmx1pyBCSSB47Gd72wQGkl4LKx2R0KEkIynPObXW/+eQavG3nbpTMTD0OHqlMbTBbuvjqUQigdvzhpsbNnsn3LyHEoKNBwWlnu3D49FFWYmTRwvYGnFPvNGPDKkEjFgcaV/i/LjuDIZuvqubtQYGtAYHtQxDAXXCdjLe+y1Kfs9jVRKY2IswvPl/jUvqYTK5GSU+ZX+Ula6Lrh3K87zNb/pfaCpISHUtbARnaaELyCKUicyIWlTdf3EPXzMHPTQKVTKk3bqx5cTAgaSOuVj3jf1dGr47MKtKyp/4JMxEnENVVW7EoO+SIS/r048Lhoxejl42QTkT/3Yxiuda3/+r09eEpBXhXYEJBIxCQJ5KNzqBvUOusVi90YWp8nLcZHpeWG/ovKf51qnYkwtYG+/fWluHeOpgOcrXteh7+khj7nVk94iUgYMRWx2t8qsb7eOQE2Oqriuz9Zu/6/3mia4c81iY7tGruBxfULwKFM8Vwv1aERhZsrE9ySLqzVuXzPPJepxHIqAN+8meDRXwmtx7NGIwtiIQTSiAhLbDstus7mz5/zunTgbOx7lSv/34d3bMbaysu9t3bgaxZNqX3oeTYO7N2P8/+ydeXwcdf3/n3PvmWRz323SI70ptVROOeUQUG70CygCUkREEf2J15cvgl8EUUDlErkERBEUvyiHAgWsoAItPemVNmnT5r42e+/OzO+PyW42dzbHJpR9Ph6Q7mZ2d2Y3O5/XvI/Xe28r444QSRLMq1Q40CEOO6F5XrnAmUeLFHn6/s6Ti0EVReptme0rBo13sU01mS4Xi3QLkIu/N8rV1xTzxI9Kp0WAZIpQx8B4h8L1PnoCr2v18k9GumU4PA6deYUhdoyQignHRIryDPY2msSM0d+I5m6RubMUdtVHUxIh+ztkqssE9jbF0HUTjy1E434/G8e4qDS26tYsjjkaO+rD6BNwp47FTLbuClJRKOBxQFd3ZNLntwSC1jC5/FyJ8mKZcFhnzmwHrWMwIhsLRQUqNk1k4wc9o24bCBpDRl1UxepucbtkbJqIapNp74qhKELfQLVxkOWSKCtzTrgTSVMF5s9xUdugY5rjX6Bnl6noojqsC+lYqCyRiJky9cMUmea64YyjRBZXDV7ck4tBg73BUlEUEz4eTqcDWZYSxmJxC3ZjoiG/vj34SKdcphtj5nfBTAkZATIGJtrJMn4fEOuxsiwSi0Un7Io6HAuKQjR61RFTMf6ITHVplB0NMJawbFOnwOwykbr9OvoYREuc9h6Rijyduj3dbNiZ+iKsG7CjPkaBR0GRTfY1jk+FOG2Q64rxwfa+5H15qYbbKVFbF5wkH46+Wo/mASng+DC5qG6yvzE85uLLOEsXutlR65twNCUSNTnQHGG+W2Fvs06Pr08wSBJ4smRcLgmbKiKK9M5vMQmEdHx+Hf8Qzp41c520dpoTFh/Vs2yEojK79o1feDjt1nya+kYwxymnclwChfkq+1qH/r0qw/ErRI45xEr9jBXDMAiHI4STslyyLPWmZlUcDhlBIBEdiUdKUiVjLDb96GmIbs1EMikYrBPpSIv7RDpZBEEgK8tBd3dqMzXiUQ9rMJ4Vku0zFLNONJOZIx5LKgYgS4uws2Hs/gT5rhh1B0YXIW67iWoG2fJBD4GQgU2D4lxhwh4Q1eUynd6hHEuHw6SqBHbX+YZNCzjsIrPKNdraorS0jy9SkUqthyhCeYmG2yUTiRg0tQ4/3TY/VyXbLVFbP3H3UQCHXWLu3Cy2jtDtMxKKLJDlknA6JNwuEbtdJWpYrsK6bkWaQhGTYEgnEDTHJOzsdpE5s529owDGz5IaF61exj1oUJZg7iyFA+1Dp1sEYEWNwKkfF8lyTs3CLopCwljMSuGkNhMmk3IZmnSnYC64vm5a19qnfzo7UwMyXYwmQCbSyQKQk+Oiq2vsttnDtdbGr37iJ5x4jjgeuh2PrXIyWxttI6Zi4tjFCHXNkyNC8t06IV+Azdt8QxYOVpeL1DVEJnQlL4qWEGlsieIdodW2IAeMaJj6Mba9Aswu11BlgT37QmNaPAVMaubY2DXBWo+CPIU8j4IoQpdXp7E5zOL5bmrr/QRDkxPOnVPlwOs3J2RfH6dmnpO2LvCNUuuhKgI2TUBVrP8URUAWBSTJ6nJxOmQQZXTDKgI1DDBM6zujG2DovT/jtw2rnsOICx7dJCdLIjfXzoE2K+YxkgWDQO+5QbB+xm+XF0uYyPjDln+HIFg/ZUm05tHYDU5eJVIxDd2NcePBePomPhMmGo2xefNmioqKcbmcmZTLCKRbgJz3td3TutY+c3d1RoBMF6MJkIl0ssDYBUiqRabxHHFclIiimFSwlno41jDg9Z1uvMPYtCdeVzARDYP9bWN/7jxXjPpeEWJTTLK0MPX1PhqH8KkYSH6OhCzq7GuaYJeEbDmp1jVECCZNtVUVKMvT2brdN27PCE0VmFWmoesmdfvCxIawVi7IU3BosLt+HJP1RiAnW6ak0EYwrOO0SxiGSY8vRnPr+OpWNE1k3hwX22on3onjdklUVDip3Tuxzy7bLVFe6mBPivN1kpElqJnroKFVGNKKPz6FPj52YahTY4FHJDtbobF96BNGXrbAyStNllTNnFRGfCaMIAh8/evXsm7dOgoLi1i0aAlLlixj6dJDqKqqnu7dnFGkW4Ccc+2uaV1r//jz6ekDzwgQRhcgkiTicNjG1ckCkJ3twuv1jXilZRjGhItM+4ZP9V399J+GOXrapisg8cYYUjGKZNLjjdIdGFskRBBM8u1BWpoDbN7mJ5ZiqloSYW6lwtadgQk7dzpsArPLNLbVBijJM2lq8g/Z7TH+5xepKFWJRk327AthGiYL5tjYUeuf1BkuAIvmu9nXGMI3hCeJKFqiJydLtua2hHW8Pp22juiwsyeqZtkJhAXaOyf+fixZmE1zhz5md9bhWDTfSUunQCA0/veuqkIlaip0jl6POyQOm0B1pY365qG9RBw2gRM/JrJyvo48ytC46cSKmhrs3r2bLVs2s3nzRurr6/j5z+8/qI3FUiXdAuSsq3dM61r73L3zMwJkuhB7B0UN/3sRl8uGdzwz4YHsbCde79AD7yxBYEyZFW88bRMXJqZp9ouQDJUfHnMqRtFpajUJRYf72zXJtseIBELs2OWnu0enwCMQCuh0eMd3JVtWKNLtjdI5zsfHyXGBQw4hYFLfEMIfnJr3v6JEIdspEAgaNDSGUi4mHQ63S6KsxM722tT/JkURcnMUst0SmipiYhIO62Rna3ywKzThbp8sl0R5uZPaCfp6FOTK5Oba2dc8/vcs2y1SWmJnb/P4Hi8KMG+WQrtPIjiE5Ykiw3ErNE5aqaIp+piFfvrJdLmkQroFyGe+vH1a/2D+fF9Npg13pjKxTpa+xyeLjKlsrU0mPgcm2Hv2TJ6Gabfb+uWH4yfPBUUhmrzKqKmYYFSivCjG7v1mwrRJkUxcapRwMEztHj+bO/tf/bZ2mjhsIpUlInvH0aGyv8XArkksqFbYUZe68ZgsmZTl6mzb2ZOIRmiqwMK5dto7Y+MuKh2IgElNlcaOWj97el9HFGFWuQ2XU6LbG6OhcXwmXgvmuWhujYxLfICVamvriNLW2+pbWW4jZsjs3RFGEASys2TcLhGHTUTu7dqIRk1CYZ1A0MDnNxJzaQbvm5PWLiYkPiQRFs13sbfZHLf4kERYMNdOY4c4bvFRVWa11TYMkW4RBDh8scpJKwXsSgTBNDAMGZtNRZYd/eqzrGLQ6etyyHS5zHwyXTBDkImA9JFqIWkybreDQCCUiDaMd37LVBBP2yRX0cdiOs1dOi9vUjFHdDQ10WQDKRamrT1Kc0uIun1jsRq33u/ZxQLb94x/oSrMFREFg32NY3uOiiKB1qYemtuG7qwRBKiutGEYJnv2jd/hsyBXRpWMUYtZ3S6JsmINAWhNEgTD4bCLVM9ysmWcHSkDkWWBhfPdbN8TSlnIaaqA0yHisElomoDDLqJpKlEdzN4C0JhuEo2ZRCIGoYhJKGzdHinYN6vcjqKqHGgdfwpoVpkCkkrbOGYMARTkiuTlKHT6BBTZqh2RJStVKwkChbkipxxux62FhhUWfR4elrFY3Ok0lXToZJDpchkf6Y6AfOqyTdO6GLzw8NJMCma6mGoB4nLZCYUivbNkJtfJdCpQVQWHw877uw0279F7i/LiBbImfr9Oe1eM5jY9MSdjVpHJttrQiIvLUFSVieyujwxZFDj255BobovQ3TP0+5rtBIccZtuusS/cJYUK2W6ZPfuCY54FImBSU62xY9f4aj2y3BJFBSqqItDj0znQFE68L3OrnHR2RyetVqW8REOQZBonYWLvwvlOWtrNMaWxBMFqzVVkAUWhd5aLgF0T8OTaCEUEBEFAFHv/EwQE0aoKNbEqQ4dbuBVFQLOrGKbYZ42eZJ8et0434t0xyf/pYLdBnkehoV0YUnjPLYNPH22nLB98Pn/Kf+vJgiTZ6XRqoiSZlMtESLcAOe3SjdO61r746LJMCmamE6+OTxXTNJEksXcRn9niw27XsNttBIMhZueG+ed7OhvHUKBd3yxQU21jx+5QSkWie/YblBardHZF6fGP7zu4Z7+OqkgsnKOwsz6cKHCVRJOKAoNtO7wpt7w2tkRpbIli06zjisQM6vaFh/38C3JlFMlg8wfjE6kA3h4db09fp5WiCMyf5SAnW6bHH8OmikjS+G3CwbqKX1TjZkddGF2fmPjIyZYpKXKwp2Hsz2OalrlZJGpC76HOq7ITiMpsr7dEbqpIIiyYZ6elSyLclfLDsWtQWSrT2Cmyr23weXhWkclpH5dZVO3A7w/S0zM+b5qRnE5tNsekRUmsv1GJ3qbhce1rhvQyUQuFDyuZCAhjm4g7UiHpSBiGiaKI2Gwasmy1SCZ7d0yelfLEkCQJt9uBYZj4fIHEfkVjJvc/p9MwjMvjQCoLYeeeYMrtrFlOAVU2aGyZ2BcxL1vE7RQJ+YO0tPTQ0jY5NR1gtYKWFat0eWMcaLae14p62Ni+y0d0kjtcqiodBIJ6v7oUSRIozFfIcsnIEoTCBm0dUbpHmeALUFZqQ9VU9h2YeHvt4hoXB1oNghPoTMnOEikvc1E3gdbaubNt6IJKe3fqz6HIUFUu09YjEooMXqirS0yOXQZL5jqQJBGv1z/l39fkVOhAr5+xREnSmXLZv7+BX/3qXmpqFtDS0kJ2djZf/OKX+m3zwgvP89xzz6KqKgBnnPEZTj31dABefvkFduzYjiSJlJaWc9ZZ5075Po+VdEdAPnnRe9O61v79yY9lIiAzmaEKSUciucg0EtETk3QlKW6lbKU54lbK01ms5nDYsNk0/P7goIF7iizwhdMkfvGsPuxI8WT2tsD8OS527fENO4xrKLx+E1kSqKlS2LEnOg1Lmq0AACAASURBVO7qGF3X6ensIRSO4XZKkypAunt0unsjFMUFKoV5EuFQjM1jmLWSCoossGC+m63bfYOiSbpu0tgcobG5/+dk00Ryc2RcDglFETAMCIYNurxRvD06ixe42VkXJqZPTHzkeWTy8+zU7ht/KkgQrNbapk5h3OIjP1eiMN9GQ5tAqlFFSYTqCpmugDhkgem8MpNPLDOpKpFxu51EIhF6eian7mY04ueCOCNFScLhCO3t7WRn5zAdKRevt5uTTjqZY445DoCLLz6fI444mgULFvbb7qab/peSktJ+97W0NPPUU0/wyCNPIggCV1zxeT72scOoqKhMy77PNIyPaAQkI0DGiDUYbmzbJheZDnyMruvouk4oZBU5Jher2WzahM3EUkFRZFwuB7GYTmend1hxleUU+PypEg/8WR+TqKhv0plVYWdvQ5BICut/TIfdB0wqy1R8/hjtXWNfWBQZirMjbNnm7ddGWl6iYbeJ7KoLjit9NhSCYJKfI7N5q5dI1KAgT6WoQCUU0qnfHyQ6Ac1TUWZHN0w2b0stlRMKGxxoHpwaKCpUqcqz09qpU1asoqkisgQIArGYSThi4AsY+Pz6iGkqQYDFNW72NenUHxj/32RZkYrdZaOuaXzCw64JzK2y09Am0jAGIzwB0DSwqyKqJpCXI6GqEroBxQ4TsMSaaQqU5Rssm61T5OkT5T09/in9Do7GUPNg4ueL5uYmvvCFz6NpGgsXLmbJkmUsXryM+fNrEhGHqWThwsWD9tVuH9y+/+yzT5Obm0c4HOLccy8gKyub//znbWpqFiS6C5csWcq//vXWR1eAzLi27fSQESBjZCytuONpre07wViLhzV8zoqSOBw2ZFnulxeORmMT9gwRBAGn046iKPj9gUR0ZiQqCgXOO07kqVfGtnAcaIPyUjsHGoOEUkyZH2gzUGSRmiqJHXXRUYVDZaFJXV0X7w9xVb6/N1VSWKCS45bYuSeYcsdHMkX5EqJp8P7mvmKD1vYIre3WQWqqyPw5dlRFoKk5TFvn2NSIKAosWehm6w7/sCZhqSAKsHiBm137IrR3W/s22notSdbsF4dNtCbfqiKqIuJ0KCiaTDhiUj3LRNcNdN0y5IrpJrGYad02BUzTisbMnedi3bouojHLAl2WrcjY3mYTX5eBqsRtzS2L9biVuSQJVreJCKIkIPamR0UgO1tB1lQME6rKwLItTSowNSFmQEwXiMQgEoVw1NqsuEgiEJVp8vb/DqsKrJwnsKrGwKGagIjb7cQ0zRFF+XQSPw/k5eXzf//3Ao2NjWzcuInNmzfx0kt/RdNs3H//w2ndpzfeWMOqVUcwa9bsfvcvX76CI444Go/Hw9tvr+UHP7iBu+++j87OThwOZ2I7h8NJZ2dHWvd5JmF8RNtwMwKEsRWWjiZAkp1MJzK1Nm4UlnzVFRckNpuKy+Xot02qdSSqquB0OohEInR1dacUFVg+T6S50+S1MaYrmzqguMhOS2uQVOf4RWNWNKSiVCUYiNHaOfgYi3Ih4O1h/YbRn7ylLUZLW4y8HJWCPJlde4IpGW6Jgsn8Khvbd/pGfFw4YrCjti9cX5CnUpivIYomHZ1RDjSFB6WXSos0ZEVk0wQKWJMpzFNxZal8sDu1VmJdhx6fnhh0J4mweGEW2/dGicZGF1KiaLLy0ByO+LgHRREpKXHw3F+amDtboyeksCc+8VeAxOk2ue5UB4Z4meoKFWSV/d2pfbEkEeaWS/giMs0DhIfHZbBijsHyOeB2ysiygqraEQQBXTeIRKLIsjSt0Y+RsVIugiBQWlpJaWllorYi3axb9y7r17/LtddeP+h3paVliX+vWHEYN9xwPbqu4/F4aGjYl/hdIOCnrKwiLfs7E8mkYDKMyHACJNnJdCLCYySGMhOLe3c4HJaZ2Gh1JKIo4HRaOeSeHt+4a01OPkykpcNg856xLd4tXZCfb6erK4TXl/rVZGNvNGRBtcyOPREME9wOcKthNm/1ppxWae+K0d4Vs6a8Vql4e2Lsbxo5RFNcIIOuj6vWIzk6AuB0SJSV2LDbJAKBGE6nzNad/kkpYBV6ox57GiJ0HJjYFOHyUg3Vpo151H1FuY2TjisgL68v9F9ZYefSiyp47qWucTnAFhfI5HhsNHWk9sWyqVBZItEd7B/xEASTuSUGK+bqzC7s+76GQjoul4RpmvT0+HujkDIOhz1pumwsYdg33YXjM6nL5a231rJhw3q+9rVv0t7eRlNTI5WVs5AkCafTxf33/5IrrrgKWZZpaNhHSUkpkiSxatURPPPM04nz6ubNmzj33Aun9Vimk3/8+ZiPZLtSpgumF3kUKWa3a73pEusSLV1OpmMheSS3osiIopQYxR2NxhBFEafTTigUJpBqKGIIIlGT+57TOZDCMDqnDexSlL1N47+irCiSUAiz7v12QuHJWwRKChVy3BJ794f6TWuVRJN5szW27fAPOVxuIhQWaLhdCrvrA+TnquR5FFRVIBq1Ckdb26IpdRLl5ylkZ2vU75+Y8FAUgcU1WdQ2xMb0+k6HxLHH5LFogXvYbXp8On/9exdd3rGJGU+WSFmpnf3tYkoCM8sJFcUSUUNCliwTMQQBh2ZSkaczp0THZev/GKv7y0ksFsPvDwz5ev2ny8qJwvG+Wq10Xb2avf4kM8NYbNu2D/jqV6+kpsYqOg2FQpxzzvnU1e3G7c7mkksu5emnn2LPnlpKSkqprd3F+ed/jiVLlgJWF8y2bR8giiIVFZUf6S6YjyoZAdLLaALEZrOu7EKhyIxyMh2KeB2JqipompoIK0ej0UmrI+nymfzyWZ1U5vOJApYvR+3gNMTImFTmG+ze3U2XN8b8ajttHRFahnE0HS+yJFBVqRGLGgRDMfSoZQY22Sxd6GZnXYBwePh3QZEFCvNV3C4JSQLTsApNe3w6HV194kQQYFGNi7r90ZS9TgZSPctOzFRo6xp9QRUEOPSQbI463IOmjT6QMBQyeP0tL3X7hv/MXA6Bqko7BzqkQeJHliwR67AJaApIslUfYpgCDruAIEm098jEDGvdcGoGc0t0FpbHKMweWknZbBoOh23I7q+REEUxkRZNdg+eSpdT6+saj3hMv/g42MkIkPSQESC9jDYRV9MURFHE7w/OiKjHaNjtNux2jUAgRCgU7nfCtPwFzH5pm6GG0o3G3maTB5/XU+p0ASjLh4YDwSGHew2kxKPT3uJj/wAhIEkwb7ZGQ2N4TB4YY0WSYG6Fwv4DQYoLVWIxk/oUu3mGI9ejkOtRqa0Ljr7xCIiCZQJWXKih2WWM3sPXDYhGDYJhg0DQwOvTx1Rw67CLzK12U9sQG1PEoaDAxikn5lFcZBt94wG0d8bYuNVPU1MUTRXRVAFVEfB4VERJ6m2oFXqt3CESFQhGIBIbUDwqm1QWi0QMme6AtSDnuQ2qi2JUF+kUZhvDfp8FQcDtdiAIIj09k+PtkexwOh7/jpHo8/aY/pTLR4WMAEkPGQHSy2gCRBQFXC5HP98Oa5rszCoekmUJl2uwodhAkofSKYqcqCNJNaxc32TyyF91gikGI7JdYEYjNLUN/Tr5WTrRQJBde0YOsaiqwJwKjd17gwRCE1tISgslIqHoII8NRRGYVWZDVQUONIXHnEpIZnGNm7qG4KRMwxUEOGSJh937QqOmohz2+CIvoioCsmx1mVg25+BwKgiSjK4LIJiJoJ5JX2eJAAgi2B0aRRW55OS7MCJB8lwxXK7xlZF5fTqbtoXQFIm2HnlMnVKCYFKWL+CwS+imgMsBeS6dgmyD4myDLMfopyur9dxJOBwhEJiYEByJoWfBxIhG+yIlo0ch05tyGYux2BNPPEpHRzu5uXls376NK664KtH5ct55Z1JcXAJAQUEhN954y5Tv81SRESDpISNAehlOgCQXmcLAE4vcz7cjvoBPFw6HHZtNTTmkDIPrSPpOmH3HNdyfyoE2k18/r+NPsbxElqA4R2dHXd++elw6YjSU0twWsBbaylKFHbtT626J78ecCoWt23tGjRgIApQVa2RnyQRDVoomNEIqJdstU1xsY8c4J9cOJM+jkJdvo65hYumn3GyZ4lIXdQdGF1OyIrJwcR7zanKRpL6F0DQMhGiQsiJrbstYaevUiegyEVNFEEUiEYNAUCcYNAgGjd4Up7WtTYUsu0llkUBeloldNXBqBjlOAzVF7eNw2NA0DZ8v/d4egkBvukZOGIvFo5Dx4tbki5npSLl88MEW2tpa+xmLff/7P+xnLPbgg/dxxRVXIQgCr776N15++UVuv/1OAB566AEuv3x1WvZ1qskIkPSQ6YIZhuGKTIfy7YgLEqfTnsgH91+4p1bHxQ3FotHYuL0LLMfWaMITJH7CVBQZu92GosiJboCBee7SfIHVZ0n8+vmxuaXGienQ0C6xYI6NlpYAYjTItm2pD/kCCASt2hKXU6aiROFAc5iOMdQyzCpVCfgiY+5wMU1oaAzT0Bg3kosLEgndMGlpjdLZbS1uC+e72N8YnhTxYXW4uNjbGJuQ+BAEWLIwi/2tjCo+BAGq5uSweFkBNtvgU4UgiqA5qWuOkKVFyM8dvhYkEDJo6zIxJRuIdsvCo/cUr6qW50hOttVtpscMZHQ8zhjziyIU5/YX/YIgDIomjIQo9nl7dHVNj7eHaQ6eBZMchbTZNH7+87tZv349ixYtYdGiJSxevJTsbE/a9nEsxmJf+tKXh/39hg3refLJxwgEAhx++JEsXXrI1O5whg89mQhIL8kRkIkWmfYfby9jGEMv3BOlz1BMxucLTPlV3XB1JPFFoKVT58H/0+lMoVs1S4tihHro7IritInsHCXlMlYEwfKPiBkme/YOntKrKlBVKg9pdz5RKsrsFOQpRCIGkYhBl1enrWP89vJ5uQp5eROPelSU27E77DQ0j17QUlTi5JBDC8nOGXudRywaw4iEcdhM8j0ikgjN7QahqISgagjC0Ffy0aiBTAy3FqMoO0Z1oY6mDP86ydG60YpANc3yvYnXQs1kAgE/W7ZsYePGjWzcuJGtW7eQn5/P1Vd/jaOP/kRa9+WNN9awfv17fP3r3xzy99FolG9/+xtcf/23KSsrB2Dr1s0sWrSEUCjEZZddxO2330V5+YfT2yMTAUkPGQHSiyhC3BVpsotMp6IAVFUVXC4H4XAEv3/qctkjMVQdSWtHhLt+56Olc+T3L8cWIezrYeee/hbpc2eptLRGxlVnMRz5uTL5Hok9+0IEggaVJTLe7jCt7ZM3JyZOzVwnLW1Rurz9xaCqCBTkKVZXiygQjpr4/DG6vbFhB7rFfT32NkZHTPOMhqYKLJifTe3+0YtSs3M0li4vpKTUNe7Xi4RiBEIxdENAEHoLS00BQQRME0k0ybLpFGfrVBdFyB3/SyUY/B0D6/ssjNntdzoZKuWi6zp79uwmLy8Pjyc3bfuybt27vPnmGq699npEcbBojEaj3HHHrZx99vmD5r7EufHG73D44Udx2mlnTPXuTgkZAZIeMgKkF0EwME2jV3hM7d/ecAWgY6mYTzYU8/n80zK8bjji6ahgROSeZ0Lsbx24byZ5jjA9nT5q64cvGNFUgapyhW27JmabPhC3U2RWsUhXd4Q9+4ITGms/ELtNpHq2k607Uh9aZreJZLtlnA4rFRE/5ztdGu1dMcIRk1DI6mxJ1Y+kZq6TnpBMV8/Ib6TLrbJ4WT6Vs7JT3n+wzLy8PTox3WqJjWOaJrJokOPQqcyLUVMWxamN6yXGjCRJZGU5ey3jjQFFoH01FzPFZn0mdbnEjcWuuuqaIY3FwuEQP/3pbXz2sxdTXT2H119/leOOO5F33/0PsViMww8/EoDLL7+Ea6+9nkMOWT6txzNeMgIkPWQESIJkT+i+f6dDkPQvAFWGHUgX9y0IBsMEgxM3FJtKAiGTh/6i09AKmqzj0cLU7/XR0j72NEJxvowsmuydoKsnwKxSidaWAB1d1ntpt4lUltkwTahvCE7IQ2NutRNvj97P8XS8CAIsXZRFfePQw+EUWcBhF7FpAopszVGJd7TE/y0AdruIYrMR0wVM+oo6jaS5KaYJkiJTWplDUal71FlHA4lGDbq9MSJRECQZTCtyaJcN8t0xKvNjVBXpKReLTgS7XcNut+Hz9Y96JNc09aVGjX7fs/FEIifGh89Y7Lvf/Ra7d9eSn5+f2ObXv/4NtbW7ePjhB6ipWUhbWysFBYVccskXp/NwJkRGgKSHjAAZkfgJKb2CJG4F3VdLIvUuGCbBYJBwODpjrt5GIhQx+cNLPbzyj86UO1PiCALMm6WyvzFMjz/1BcJhEyjKhQ92DD9nRVEEZpfbkCSBhgP93VBHQlVEaua62LLDNymTdgsLVLJz7OxrHH+6QJZg8YJs9rWaI3qX2OwyNQs9zK7KTqmDJRYz8HpjhCK9JmCKTq7bpDRXZ15xFGfq1iCTguXt4UQQhDF7e0iS1M+7wypu1QcJ/6kgYyw2s8kIkPSQESApYTIwUjLVgiRuKBYOWw6s8Ss4wzD6nSinez7FcJimyf+92s0zL3alZC0+ECsto6bkw1FVLrF/vx9vCkZlogglhVabbSxm0NIepat78EJUVekgENJpaZt4bYHYG/XYc0AnMoGZMHNmO9AFlbau4d9oVZOoWeChak52v5bakYhGDYLBGNGo9XkWuHWWzjKpqZRR1YEeMnraW9H7vD0mNmoguaMtLvz7d37pk/I9m0kpl8lE13UkaXRX3A8DGQGSHjICZEIMFiQwsqHZWLEMxZwYht5rKNb/o7Cu3vqiJFabXzQhSNIfTh6aeKfOzrowt95bT1vnxBYnSYI5FSodXVFa2oZ+LrdTINdlsH0SvTcK8hQkSaTbGyU3V2XLdv+k1KeUldhxuDT2NY4/fePJkSkvc7HnwPA7pKgS+cVZePIcSKKJpoDLKZGdow0ZAdFjBrFoFHQdRTIpyjFYVBEbsn5juK6UZIE8VRE7h8OOpqlT5u0xVHHr+B1OZ56xWDgc5p577qKgoJB9+/Zy8cWXUlk5C7BmtezYsR1JEiktLR/zrJaWlmYKC4sm/XjSSUaApIeMAJlUJqeOxOmMn1THXr0fN0ibqLPpZBK/Mo1ELNfJHr/Og79r551Nk+OLMadSIxiMsS+pRmRuhcTuOt+kOI4OpLLcjm5Ca3uUfI+M2yWjKgKxmEmPL0Zre3TMEQxJgqWLcti1L0psnOkpRRZYuCCLhpbh0y2aXaGgOIucPOcwNR4msmS1niuSSWG2zqIynbmlBhO5mB0YSRjYsj1RgRz39jAMA58vkLaUZJ8RoTTAsG9kh9OZaiz2+OOPIooCF130BWprd/HTn/6Ye+/9NS0tzfy//3cdjzzyJIIgcMUVn+fGG2+hoqKy32sYhpHolOns7OCmm77PiSeezJlnnjXsBPEPAxkBkh4yRmSTysCQqiVC+loCRxYkEzEUG2iQlnxV6nJZXTPJC8BU5rf7+5P0XZm6HBLXXVbI39Z6efLPHUxkF0wTdtVbvg5zZjtRZB2/N8jmD7yTcQj9ECWBpQvdbN3pT3TONLVGaWrtv+oLguXZkeWW0BQRUQIRAd0wiUYNQmEDf0DH5VSQNZVte8Yf9Zg/x0nUVGjrMsl2S2iqVZQqy5YrqagoiDYXojp8y4lpmrg0neqiGCvm6GQ7x707gxjJdMtut02o3kLTVJxO+7R4e/R9z6zbyQ6nNpuGy+XENA327z/Am2++yYIFC6momIUoyqQ75TIWY7G3317L6tVfAWDOnLns2rUTv9/Hf/7zNjU1CxICYsmSpfzrX2/1EyDJ4iMSiSBJEitXrkqkYT6s4iND+sgIkCllbIKku7uT+++/l1WrVnHKKadNijgYydnU4bAhy3I/86bJCpOrqmX8FIlE6OwcWgycfHQW86s0fvFYK42tEztWQTCRhAjbt/vQVJFli7Px+2Psrh+fo+pASottKIrIpm2jt9eaJnR0xRKdNgNRFYFFC7PZtTeGETSx2WVkmd7R8QKSJCBLIIkCpgmGaVpdK4bVvWKYUJBnQ3PYONCqJwRcKAD0BpVcWRq5BS5UhzrE/pmokkFhts7iSp2asuEHtk02Vkvs0A7CDkefg/BIE2UFAZxOB7Is093dMyPSjMM5nIbDIdavX8djjz1KR0cnixcvZenSZXz840cMEgbp4I031rBq1RGJuS1xOjs7cDgcidtOp5POzk46OztxOPoUqcPhpLOzAyAR2RBFEdM0ueWWGykrK+eyy67k+ONPYsuWTf22y5BhODICJK30FySmafK3v73AL395N6effjqHH34MkUhsSgpbk0+UcawwstJ75WYNsEsWJKkU3AmCNaxPliV6enyjpnxml2n86PpSHn+ug9f/Pb4uksJcASMSZdMWSxyEwgabei3Vcz0qZcU2ur1R6htSN2oTRVi6MIttuwNEJ1AYGqdqtgPdVNhe1/f+R6Lx1Mnoz5/tlqiqymJvExjd/d9bSRLJ8tjJyXWgaklfadPAZTMp8gjMKY4yryTGGOtOpxzT7C+QoW+irKapuFyO3rSN3jvOwMDhsBOJxOjqmvwo12Si6wY5OfnccMMPAIHOzi42b97Ipk0befHFv6RdgKxb9y7r17/LtddeP+h3Hk8ugUBfStTv9+PxePB4PDQ07EvcHwj4KSur4I03XmP79m1ceeXVNDc3sWXLZrZv34Ysyzz99FOcccaneeuttaxadQQ5OTlpOb4MH14yAmQaefjhX/Hmm69z++13Jp2UzN5IxNR32lhXnHrSlZuV11ZVBYfD3rvN6JN/466soVCEnp6xG3HZNJEvXZjPKcdk8dvnO9i4bWwdDLJkMrtEZOt2H/owxlxWJMJqvS3I1yguUPEHdPYdCBGNjiysigo0nE6ZTdtTNxUbiN0uMn9uNjv3RjHN1OtwVEVg0YIsGjtE6hoHPLdDISfPiSvLhigKmIaBJkSoLBRYNkdkcZVCLKbj9wcmJRo01VhFnTHAym/E0zY2m4YsS4n7HA7bqAMSp5OBXS4eTy7HHHNcohYjncSNxb72tW8OaSx2xBFHs3nzRg455FBqa3cxd+48nE4Xq1YdwTPPPJ2IYmzevIlzz70Q0zS56647kGWZzs5Ozj//Qh566Dds376N2267hc7ODqLRCJHIzLa9zzAzyBShTiM+nw+bzUqHDM9wha1TvHP0L2yVZRlRjOfto4lCwnh9yWS4sm7aHuS3z3dSv3/42oiKIpGuzuC4219lWaC0SMXtkolEDA40hfD5rf0WBFi2KJsddQHCo4y5HwsL5rnoCoh0j+JCOhSSCIsWZNEVkOnx930NRVHAk2fHk+9EkiRkUSffFWN+mc6SKhO51ylX0xR03UCSxEmx/p8ORFHA5XIiCNDTY6XUkkfcy3LfgMR4Iej0tqN/+IzFwuEQv/zl3eTl5bF/fwOXXPLFfl0w27Z9QDgcZs+eWm6++cfk5xdw660/5J//fJMf//hnLFmyLPF6ra0tvP76azz++CNcccVVfPrTZ0/LcU8GmSLU9JARIB86ps+xNZ63j0dJRFHEMEzC4fCkXZGapsnad/384cVO2jr7BI3DJlCUY4zL6nwkBAGKCzXKim2IohU56fJG6eiKjvtYPNkypeVudu9LXSQJgjVFNxhTMU3IdknYbCL5OQLFeSKiopDrhrI8k9wsoZ8QTZ766vP5EzUUkjR4mux0d0iNhqIouN2OUV1/J7dNdvwczMZiTU1NhEJWmHT27CoOHNjPb37zMF6vl//+75ux2Wx4vV6ysrIAqK+v4/nnn+OKK67CZpsmZ7oJkhEg6SEjQD70pFeQxGs94lGPZFGSfEU60cLWaMzkpTe9/PmVbopzYe8+Pz2+qVlMlizIoq4h2K91V1EE8nIUstwymiaCCeGITiRiEIrohMIGoZDV2RI/REGAJYuy2N9iEhxmeJwkWd1ADruATRVRFAFZEkGArGwbhqjhDwt4/VCWL7B8vsiyOSLZrpE/y1Q6Q/pb/8dbSdPj2zEWnE47qqrQ05N6VK2vTdY6tvhYg2SxNdnHdrAai8VisUR0dt26d7nppu+xfPnHuOmm/wXgS1/6AocffiSXX76aF1/8C5/4xHE4nS5aW1tYs+ZVLrjgc9O5+xMiI0DSQ0aAHJRMjYV8fJELhYZ3nIxfkcYXgeTw/3gcW/0Bndff7uLVf3SyZ9/kzr/JyZYpKrCxc8/4pwkLglXLUlluR7Fp+EMmhmF1IRkmGAboRvw+BvmESCIsrHETFWx0eKGsQGD5PJFD5orkZo3+efUJQpGeHv+40ivJraTJTrvjLUgeL5JkRXB0ffK8PayxBv2jJLo+WS7CMyvlMlnE33crUhblV7+6l7y8PJYvX8HPfnY7J598Kued91l27drJd7/7TT71qTN5993/8LWvfROn08lPf3obNTULuPLKq6f5SMZPRoCkh4wA+UgwMQt5KxfvQBRFenoCwxajDkVf+F/pDf/TT5Ck8ly764O8uraTN//dnajbGC+LalzsOxDGP8a5L8Nh00SWLMllZ30kJat5TRVYMD+LkKGSmyUwv0JkabVIgWfs571koze/f/wiaiiSnXZluf/nNhWpjbi49fuDiVbdqUKWpX5iK35sqaSk+lIu8chHemhvb+PBB+9j166d/PrXvxn0+4ceeoB33/03kmRFLvbt28uNN97CihUrufLKS1FVqz1bkiTuvvu+EV+rtbWFhx/+FeFwmDPO+AwrVqzkrbfWcuedt/Ozn/2SiopKNmx4n+3bt3LssSdQVFSM1+ulubmRefNqJv/g00hGgKSHjAD5SDJ2C/n4wjBZE3iHC5EnL26jEY0a/Of9Hl5d28mGLT6MFP5K3W6J8hLHpNi0L5jvwhcefdR9MmXFGnOrHRTlq8wpE6kuFVCV1M91Vppi6izIB2J9bn0L90Bju/HW/0xGBGeiDHVsI7mbTmfKZc2aV1AUlUceeZCHHnp80O//wrdZngAAIABJREFU+c9/sGLFSux2O4Zh8M1vfo2f/vTnCILAQw89wOWXrx72uZN9O/7yl+f461+fZ968+XzjG9/ut90zz/yOP/zhd5x77gWcc84FiTTNweT7kREg6SHThvuRZHSDtKamJu688ycsX76cSy65NKVIxUgMdGxNNqRyOvsMqZIFyUCRrCgiRx2WzVGHZdPWEeW9jT1s3enngx0BWjuGL/xcOM9FY0tkwuKjIE+lqNRF3f4YfemuoREEKC1UWDDHwceX5zB/tobLboy7RkaSpN40hU5XV2puuRPB+twMwuG4sV1fasNut/WmbfREBGEsqQ1Zto4lEomm1L492Qw+tj7TPptNw+/38eUvX0VNzQIWLlzE0qXLqaiYPS2L7fHHn8S6de8O+/ujjjom8e9//OMNjjrq6MR+7t69iyeeeJRwOMzChYs58sijE9vGxUP8ZywWY+HCRdTV1bF9+zZqahYknE9nz64mEolQWlp+UIqPDOkjEwHJ0A/TNPnzn//Igw/ey0UXXcIFF3wu4cGQjk4boF/oP3lhG84hM5nW9ghbdwb4YGeArTv8NDSGcdglZlc4+GDXxISHpgosWpjDnkadoQI1igxlRQqzShVmlSnMKlWpKJbR1L76gJFqZEZrkbXbNex2W1rSFOMhObUxsCNlYLotPuU5lXlH00ltbS2bN29i/fr1bNq0kWAwwKGHruTGG29BUZS07su6de9yzz13DxkBSeaGG77Bf//3LQmn061bN7No0RJ0Xeeaa77E6tXXcMghhyaEw86dO/jNbx5m9eqvUF5ewf79DTzzzO9xu91cdNEX0DTL1r+1tQVRFMnLy5/aA51GMhGQ9JCJgGToxx//+Adeeukv/OIXv6K6ek7vvanNtJkoQzu2ygMcModetAvyVI7NUzn+yFxcLgdeX4wt2zpobo1wyCIH7Z0x2jujtHXG6OiM4htjDcjCGjcxU8YXEpg/WyPHLeLJkvBkSeRkSRTly5QVykjSyO9Hn/lbn9lWfMF2OGyJFtnkWotkP4yurp5p9roYnvixxbtwkn1kbDYNURTR9ViifburyzuimJwpmCZUV8+jurqGT3/6PMBahOvqdo/i4TN97Ny5nYqKWf1s1hctWgJYUbRlyw7lvffeYfnyFYnfb9u2lVgsygMP3MPNN/+YsrJyVq5cxYYN63j88UeorJzFsceeQEFBIdB/FkyGDONhZn57MkwbZ599Huecc/6AcOpQuW4jSZBYP6fasXWgQ+Zwi7bl8mi3alaMMIvnO1g83zHkc4fDBp3evvoFofd/8cOP3852949kTBbxGSkweIigzeZIDPaKRmMEAiFMc2aKj6EYmG7TNGtOUCymIwjg8WT3a9seLbqVfobvcikoKEwsxNNNMBgkFArh8XgS9z3zzO/54he/lLhdX1/Hpk3vc8YZZwHQ0LCXY489gUgkwm9+8zAnn3waZ555FkcffSx3330H99//S6666hqOOuoY3n77n7z55hvccMP3E1EQICM+MkyYjADJ0I+xn1QGbpc+C/mBg83ii7ZlId83aRWs+pKRijQ1TaS4YPDgtukiPkQwGo3hdDoAgWAwjCQJiSGCM3vRHpq4t4fX239O0HDRrXjqZrpcW/sKTdPb5TIa69e/x8svv0B7exuPPvprPve5i3nhhefZvXsX3/rWdwHo6GgnGo1SXFySeJzT6eSf/1zLW2+txe/3U109l6VLD+Ef/3id1177O5FIhIsu+jwej4fPfOYcHn30IdaseYUFCxZxwgkncemll5OfXzBdh53hICVTA5JhikivhXzfPJowwWC4Xy1CcmHrTDDaGg2rvdZBJBIdsr12sPvnzLVat7w9XL0zaUafUJwc3Yq7tg4sSp5q+ouPg4t33vk3t976Qy644HMYhslpp50OCNx00/c48cSTOe20MzAMgzvuuJU333ydG274PscddyIAuq4nInIHO5kakPSQESAZ0sTUOLYOdGYdzsMhecGOG21NjhnV5OJw2NG01Nprh1q0Z4LVus2m4nBMzNsjuUsqWUwmF7dOnpg0Mc14xOPgEx/xmo1rrrmS/fsbeOSR3yYm1r7xxhr++MenOf/8zxIOR+ju7mLBgoWJupGPGhkBkh4yAiTDNDFxQaKqVk1BOBwhEEjNiCvZaCvesRGNRqct9D+ZLqBDW63391qZygBQsreH1+ufdHE3MLo1GRGg6TAWG81UbN26d/n5z3+Gy+UC4Mgjj+a//uvzgBXJeOONNXg8HgRB4LLLrhzyNYZqj1279g1eeukF3G433/729xP3v/zyC2zevAmvt4vrr7+BrKzsYZ/jYCcjQNJDRoBkmEGMzUJeEMDpdKAoMj09gUkJyyd3bKQ7imCzaTgcU9dem+xr0WdHPjV1JLIs93p7TL4763BMdNjedKVcRjMVi/t9rFixst/9oVCIL3zhszz++NOoqsr3vvctzj77fFauXNVvu+QulbVr30BVNWpqFpCdnUN7exvf+MY1nHvuhXz602fzzDO/47zzPtsvzfJRFB5xMgIkPWSKUDPMIEYvbF2//l1+/ONbufPOuykrK5+0Vx7YsZEcRbBs6KV+Q80mw320r71WmNL2Wiu6M7bW5olEgBwOG5qmpc2dNc5InUROp2OAuV2U7m5vb3vq9KZcRjMVAysqsW3bBwQCfs488yyKiorZvHkjxcUlCVv1pUsP4e231w4SIKIoEgwGee65Z4lGI3R0tPPOO//mU586k6qqalavvoY77riVUChEbe1OWltbMi22GdJKRoBkmMH0tf8Gg0Huu+/nrF37Bt/73g8oLa1IGpo1+a8c70aJm2QlRxHi3SgTqUWIF81OlsV9qozU2my3xzuJktM2w0cRRNFKH5mmmVZ31uEY+NlBXw1QQ8M+LrnkYoqKili8eCnLli1n6dLllJWVz7ir/aqqai699ApKSkrZvbuW6677Ck888Qc6Ozv6+Xs4nS527NgO9I9axGIx7r335yxZspRTTvkU9977c3bu3M5rr/2dz33uEo488mhWr/4KW7du5uqrryU7OyfxnBnxkSEdZATIJLN3bx1///vLaJrG+++v47LLrsTjyeXRR39NeXkFjY0HuOaa6/qdQDKMzv/8z3dxudw8+ujvyMrK6r03fQZpw0cRFGw2DZfLgWGYo06QTU4fDWxJnU4GtjbHiz/7RxH6CxLTNJOEVChhrjYTie93UVEJf/3ry9TV1fH+++/zr3+9xa9+dR+apvHb3z47oxZejyc38e/q6jn4fD5aWprxeHIJBPpcff1+Hx6PZ1CXiizLnHrq6QQCPn72s9s45JAVfOxjh/H666/y5JOPccwxx3LKKZ/ilFM+BWSiHhnST0aATCK6rvOLX9zJbbfdiSiKnHrqGUiSxM03/zdXXLGaRYuW8Mwzv+PJJx/jS1/68nTv7oeKm2++LRFy7mP0mTYwdY6tfa6m1u14YavlR2Lv3aZv0RYEcLudRKMxOju9k74/k4lpDh8Bis9+ib+/wWBoRlrDD8ZKuciyyty5C5g7dwHnnfdZTNMkGAzOiMU32VTs8ccf5TOfOZusrGy83m6i0SgeTy45OR6amhqJRCKoqsqmTRs4++zzkSQJr7ebZ575PZWVszjxxJNZvHgJGze+T09PDyee+EkAnnvuWbZt28onPnF84nUz4iPDdJApQp1ENm/exKOPPsiqVUcQDofIysrm9NM/zSc/eQyvvfYWgiCwffs2brvtZh5++Mnp3t2PAFPT+jtWkgtbVVVJeFpEIpFpbY+dKMkD8WKxWJIfyfR2Eo3EdHS5jMb69e/x0kt/5d//fpuzzjqXz33uYv7yl/9LmIq98srLvP32WmbPrqaubjcnnnhKYoDcO+/8izVrXiU7OwdFUbjssisJBoPcdtstaJpGT08PTqeT733vf9i5cwdXX30Fq1dfTSgUQhRFzjjjM4kulwyDyRShpoeMAJlEXn31b/zkJ7fyzDPP43K5+OEPf0BVVTVPPvkYL730OgANDfv46ldX86c/vTC9O/uRJbnTxvo5lYJEkkRcLqs+wucL9DMRG5zWmNr22MlgpI6doTqJ0m0iNhQHq7FYctTiueeeQdd13O4sTj75NFpamvnmN6/lggv+izPO+AwvvvgX1qx5hRUrVvLZz14MfLSMxVIlI0DSQyYFM4k4HE5mzZqd6NtftuwQNmx4n3A4nCgO8/v9/WY2ZEg36bOQjxtxBQJBQiFrsY5EjBELW5PbY2eSY6sgCLjdDgRBHLZjZ2AnUf86Evs0ONIe3MZioigSCoX44x//wPvvv0dPTw+FhUUsXXoIJSWlfP3r3+L2239EOBzilFNO58QTT06kMU3TzIiPDNPOwfetnEYWL15Cd3d3Yux4U1MTVVXVHHroSj74YAsAmza9zxFHHD2du5mhH/HFSUr8Z5oSpilimgKmScpRCUEQyMpyomka3d09CfExkHhhayAQorvbR3t7Fz5fAMMwsNlUPJ4sPJ4sXC4HmqZOW45eUWRycrKIxQy6u8feLhyvI/H7g3R399De3kUgEMQ0TWw2DY8nm5ycLJzOyT8+63OLRz0OztPcO+/8m6uvvpxAwM/tt9/FNddchyxLrF//HpFIhBUrViLLCu+99y6SJPUTHzOt4yfDR5NMCmaSeeONNaxb9w45OR6am5u47rpv0dHRwSOPPEhpaRnNzc189auZLpgPD6nVkSTPpAkEJt5e22eypfSmNegXIYmL3aliPNbwqTCUI21yWmo8xzcdKZfRXE1feOF5tmzZRFlZOdu3b+O88y5k6dJDALjyyksT4kCSJO6++74xvebvf/8kmzZtYNOmjfzpTy8giiLPPfcsu3fvorp6Locd9nH27q3LXPCMg0wKJj1kBEiGDCkxtCAJBv386lf3s3DhQk4//cwpKzCN11nEUzeiKA6qI5ms14l7e/T0+NOWCkquI5FlGVFMpY5k+lIuo7maPvbYQ3z2sxejaRpbtmzmtttu5je/+T0ADz30AJdfvnrMrxUv/I3zrW99jezsHL7//ZsSt/fvb+AnP+kz68vUe6RGRoCkh4MzNpkhw5QRX9ziaRuZLVu28sUvXkowGOKooz5BNKrTJ1Iml3idhd8foKvLS2dnN6FQGEEQcDrt5OXlkJ3txuGwoyjKuELtmqaQk+MmHI7g9frSWocSPz6fL3583mGPLxwO0d3dDUx/yuX4408aMar5hS9cjqZpAJimgd3et+3u3bt44olHeeihB3jrrbX9HjdUukuWZdra2vjd754A4Prrb6C+vo7f//5Jamt3cfbZ5/PAA4/2cwrOiI8MM5FMEepHgN/+9jc0NjaSk5PDvn17+c53fkA4HOa++35JaWkZDQ17Wb36K+Tm5k33rn7oWLv2DW677Udcd93/44QTTuq9d+oKWwcy0K8D+lw/7XYNWXZiGGOb+xI3SZNlme5u35Snd8bCSMe3Zs1r3HnnzygsLGTx4mUsW7acZcuWU1paNmNrHEzT5A9/eIqvfvW6xH0XXfQFFi1agq7rXHPNl3A4HCxfvqJfl0t3dxc2mx1N03jnnX9x1113cNRRnwCguLiEY489nnvv/Tk/+tFPOPpo6/5M1CPDTCeTgjnIaW9v4+KLL+Cvf30FURS54YZvcMIJn2TDhvWsWHEYJ574SdaufZM1a/7OD35w83Tv7oeOrq4uTNPo51o5GJPBqZupsZAfiuTWX6vOYvD0WEmSyMqyTNJ8vsDoTzojMIlGDfbs2cOGDe+zceMGNmxYzxFHHMUNN/wg7Xuzbt273HPP3UOmYMASH/fcczcrV67i8MOPHHKb++77BZqmJabber1e/vCHp2htbeHAgf1cffW1dHR0YLPZ+g2pW7PmFXJz8zjkkEMn/8A+gmRSMOkhEwE5yLHZbCiKgt/vx+12EwwGqaqq5v77f8nnP38ZYLUL/+hH/zO9O/ohJScnZ/SNZohj61BzXxwOW+IqOxyOEArNXDv1ZOKFprIsM2/eAubN63M1naqhfqmS7GpquST/jGOPPYFDD/0Yr7/+KscddyL19XVs2vQ+Z5xxFgANDXs55hjLobSnp4e77voJn/zkqRx66Md48snHuO66a3jqqT+Sk5OTqIeRZZnjj7eib33zkTLrZ4aZT0aAHOQ4nS6uvvpabrzxO+Tl5VNQUEhZWUXvQCsnYPmX9PR4BxW3ZZgqpleQxOe+RCJR3G4nhmESDkcSpmnJha3xnzOJkbpcBEGYlrTD+vXv8fLLL9De3sajj/6az33uYl544fmEq+m9997Nm2++zq5dOwE4cGA/xx13Ik6nk3/+cy0NDQ1s2LCOBQsWc/LJpxIKhfB6uwmFQhxxxFEAXH75arZs2czdd9/BjTfeMuR3NSM8MnyYyKRgDnJ27tzOLbfcyEMPPYEsy/ziF3ciSSKvvPI37rvvIYqKivF6u7nwwrN58cXXpnt3MwDpsJBXFBmXy0k4PLhdWBD6xtlbqZt0G4gNx8FrLNba2sKXv3w55557IYoiM3t2NYsWLebiiy/gqquu4eSTTwNgw4b3effdf6fUNZMhdTIpmPRwcH2LMwyitbUVtzsrcbWUl5dPJBLhiCOOYvPmTQBs3LiBI488ajp3M0M/BnfagNhrkCYkDNLG22njdNpxuZz4fP4hvUqsGpEogUD6DcSGw+pykThYjcUKCgo577wLeeyxXxOLxVi5chWyrHDuuRfw1FOPs3v3LkzTZO3aN8jOzsxwyXBwkImAHOTous5dd92Bqqq43W52767l2muvR1UV7rvvFxQVFXPgwH6uuuqaTBfMh4rBha2jRUhEUSQry4muG/h8gQlFMYYyEJuqQXQH6yyXgbz55uu8886/2bZtKw8++BgAzc1NvPjiX3jvvXfweHI54YSTOO64E6d5Tw9+MhGQ9JARIBkyHBQMl7axIhqvv76GOXOqmD9/wZQUmg41iC45ZTM+Y7bpSbmM5mpqGAYPPHAPdrud5uYmTj/9MyxZshSw7NHfeGMNHo8HQRAS3SwjMbD26vvf/zaapvKDH9zMK6+8zMc/fiR2ux2vtztxkZDcopth8skIkPSQ+QvOkOGgYGDaxkpX+HwBbrrpRh555CFkWSMUmrg9/FAkG4h1dnrp6vISDkcQRRGXy0Fubg5ZWS4cDhuKMnqh83SmXDZufJ+jjz522AjRa6/9Hb/fz6WXXsGXv/xVbrnlRnRdJxQKcccdt3Lttd/g8stXU1u7k3ff/U+/xw5nLLZ/fwP33HM3Xm8311xzHdu2fcCf/vQMW7Zs5p13/o0sy/0ilBnxkeFgINPykCFtDHVlGQ6HueeeuygoKGTfvr1cfPGlVFbOAuDll19gx47tSJJIaWk5Z5117nTu/ocMgdraWr7znetZtepwHnjgUWw2LW2dNobR30BsqMm/VnuwFSHp6fH1OoWamGaymEo/xx9/EuvWvTvs799+ey2HHXY4AFlZ2Wiayp49u+nq6qS4uCQx12Xp0kN4++21rFy5CrAiUXHhsHnzRmw2O3PnzmPbtg/44Q+/z0knnUJWVjZZWdl85zv/zYMP3seZZ56VZHCXIcPBRUaAZEgb8SvLnTt3JO57+umnKCoq5qKLvkBt7S5+/OObuffeX9PS0sxTTz3BI488iSAIXHHF5/nYxw6joqJyGo/gw0VHRztf/ep1HHPMccNsYQwoZp1Kx9a+IXpxLIM0hUgkzDnnfIacnByWLo07mq6YsY6mnZ2diRZ2sNrYOzs76Orq7GfH7nS62LFje+K2IAh0dnbw7LNPoygKL730Vy688CLKysr43/+9g9mzqwCrbmvJkmXceutPE8+XSblkOBjJCJAMaWOoK8u3317L6tVfAWDOnLns2rUTv9/Hf/7zNjU1CxIL0JIlS/nXv97KCJAUOOywj4+yxcAFLX0W8pBskCby5z//lfr6etavX8/bb7/N/fffiyiK3HffQxQXl0zJ648Xj8dDIOBP3A4E/Hg8uQiCQCDQ5yLr9/vweDyJ27FYjIce+hUnnHASK1asZMeObciyzKGHrkSW5UTKJ+5jEhcfyZGTDBkOJjICJMOEME1zQlepliFa8lWjk87OzmGvMjNMJYMN0gYKEphsC3kr5SJJCtXV86muns+5516IaZq0tbWSl5c/mS82bpJdTY844mjef389p556Ol5vN+FwhKqqaqLRKE1NjUQiEVRVZePGDZxzzvmJ59D1GA6HncbGA/z0p7dxwgknc9xxJ/Dss09zzjnnD2sCOBOjQBkyTAYZWZ1hQgw8OXZ1dbFnz+4xP97jyR1w1fj/27vXqKrKPI7jX26HgyEKio2KCN7BIxdLRpAZFLymSYRlioQlpjFemnRSlzqTLsucosLxhiGooGWh6ajpYspro3I5KYEKCHJRKxVEbnJYXJwXDDtQLDU5gP0/rzx7ne3a+wVn//azn+e3y7C0tLznXabQp7q5GEbUn9h6+7ah0kXyW/pIfukNtgYGBlhbd2qWO/87W00rKnR89dVeIiLWA+DtPYI2bdoQGbmRtWvDWLJkGUZGRqjVaubPX8jHH7/Pxo3r6NWrN3Z29mi1iQCYmqrJycnm009j8Pd/ER+fERgZGZGZmUFpaanez1OI5iYjIOKhXbqUR0FBPvb2PWjXrvadKCdOHCc2dgeRkTFUV1crF5B73cW5u3uSmvo9zs6uZGVl0qtXb554whw3N3diYz9XRlhSU1Pw95+ot3MTjXl0FfI/d3vc+X82P1fXp3B1farBNn//F5V/GxoaEhIyp9F9Bw4cpExQjY8/yaJF89DpdAwa9EfmzJnH7Nlv8vrrr3LixLdcu3aVc+dS6dvXQcrFxO+S9ICIh5Kff52NG9fRoUNHDAwMuH37NjY23Th8+Gu6d7dj9uw379pHq00kLu4A8fEnefbZ55gyJQiANWvC6NChA1euXCYw8JUGq2DS0s5jaGhIt262sgqmxbufCvnmX+XSVOo/jvzhhyvEx59k5MjRVFZWsWTJW/j4jMTPbwLx8SdJSUkmLy+XkSNH4+np1cxHLu4kPSD6IQFEPJQff/yBN94IYdGiv+PiMpCIiA3Y2dkTHr6Ovn37otE44eCg4dq1n9BonOjcuYuy761bZURFReDo2B8Pjz+RkpJMnz79sLCwaMYzEk2jrvei/k/J4/Uul/orVAoLb/D224upqqriypXLhIb+i549e3Ho0Nfs27eHoKBX6drVho4drdHpdKjVauC3z6USj5YEEP2QACIe2rZtWzh7NpWhQ33w8RlBWVkp06cHsWPHbioqKigpKWH58iUYGBhiY2NDbm4Okye/jJ2dPWq1GrVajbGxCcHBgbi4DGTWrL+iUqmorq5uljeaisfTr7WTrly5nCtXLiufs7IyiYyMoXPnLkyY8KyyCsfauhP/+MeKBvuWlJTQtm1bAI4c+Ybs7IvY2dnj4eHJ+vVryM+/zooVqwAICwtl377dhITMxc9vgoSOFkwCiH7IHBDxwMrLy8nNzSYgIIjvvz/DRx/9k+vXr2JjY0v79rXLDk1NTTExMcHZ2ZX09PPMnTufvXu/JC8vh4SEkxw9epjt23eiUqmwt++BRuOsrAKoHz7qAnJT/lA3VpAWE7OZGzcKsLLqQHp6GsHBM+ne3Q6QgrTWpK6dNDr6c1QqFYsX/42kpASlHAzAzW0wPj4jgdqls++8s0wZsRszZlyjb54tLy/n00+j6dOnH56efyY5+TRr14ahVqsJCZmLqama559/gS1bIoiM3MhLLwXg4NAfR8f+jBgxGpDVLUI8PuOgQm+qqqrYv38vO3fuwMnJBQeH/pSUlJCXl8OAAc7K97KzL1JYWMjw4aNRqVT4+vrzzDPjlcZHMzMzCgryKSgowNbWlqKim2zaFE5SUgKVlXUNmgZN/kPdWPV2eXk5s2e/yZQpUxk61Ju1a8MAlIK0WbPeICRkLvv27eHSpbwmPT7x8FJTv2+0nbS+uvABsG/fHsaOHa98Tk4+zbZtW/jkk/WkpCQDtY9czMzM8PV9nu7d7YiLO4izsytffPFvNBpntNpEiopuYmvbHV9ffz77bBvR0Ztxdx+ihI/GKtmF+L2RACIemLm5OaNGjUGlMiUsLBS1Ws3kyYFcuJCBjU03Tp/WUlR0k7KyUkxMTJRJpcbGxlhYWHDs2GH69XMAICMjDQuLdhgZGaPVJpKSkkxW1gV+/PEKt26VsXt3LN99l8SNGwVNdj7Dhg1v0EUCMH3660rwqbvgAPcsSBMt0909M+YUFhY2+t2amhri40/h4eGpbJs5cxYBAUEEBr7CypXLWb36QyWMZmVlEh6+hq1bNxEXdxCAl14KICMjDa02ieLiYmpqahg/3o/p019XHtWAvMtFCJBHMOIhGBgYoNE4odE4AT9PwvPy8ub8+bNkZmZgZubLnj27KC0tUdog6+Z2ZGSkM3r0WADS09MAWLVqBV5e3nz88ToAzp5N5cCB/VhZdaCsrJSoqAg8PDxxdx+i13OtrKzkwIH9zJu3ALh3Dbdome7umWnYTlrf8eNHGTLEs8GIm6OjBgC1Wk3v3n2wtrZm165YKioqsLCwYNq0meTl5RAbu4Pevftgb9+DiRMDCA19j759HXjrrcW4uAwEkLlNQtxBYrj4zeru5nx8RjBr1hvMn78IGxtbNBonrKw6cvq0FqgNLidPfktOTrYSJPLycunRoyfOzi7cvFlIRUXt21oPHfoPCQmnqKqqws3NHUtLSxITT+l16LqyspIPPljJa6+F0LWrDXDvGm7RMmk0Tko7KUBKSjLu7p4UFxdRVtaw/OvAgb2MGfOs8jkpKaHB6Nbly5dxdByAg4Mjx48fZtw4X+zte+Dk5IpG40R0dBQAXbva4OY2mODgmUrYuX37toQPIe4gAUQ0CXNzc/z8JrBgwWJltOPWrVtotUmYmZlx7NgRjh49zJkz39G/v4Zp02aSlJRASUntRSE9/TxeXsPo1KnHLbceAAADyklEQVQTMTGbuXgxE5XKtMHdbFOqqNDx/vvvMnFiAP36OXDkyDcAuLm5k56epswXSU1NYfBgD70ck3hwd7aT9uzZm6efdiMmZjO7dsUq37twIZ1u3bo3eFxjaWnF3r1fsnVrJB9+uIqhQ71xdnZh/vyFDB3qw+rVoVRU1Naze3sPp6Agn5CQYG7eLGThwqX07NlLCcwy4VSIu8kyXNEsyspKyc3N4csvY7G1tWPwYHdCQoIZO3Y8gYGvsGXLJuUtuVA7fF1eXo65ufkjP5bTp7UcPLif+PiTPPecP5MmTWHZsqVcvJhFx4617yLR6XTKChkpSBMAM2a8grv7EKZODSY8fC25uTl4eQ1j1KhnAOn2aM1kGa5+SAARLUJlZSWnTv2Xc+fOMmrUM5SX32LLlk34+vpTXV2NVpvIiy9OalBoJkRzys6+yNKlC3B1fZri4iJmzPgLXbp0BSR8tHYSQPRDAohokWpqasjISCMzM4Pi4mIGDHBusMRXiJbg7NlU8vOv4eXlDUjweFxIANEPCSBCiFbh1xpNv/pqL7t371Q6P8aN81XmH+mjPK5+Jbto3SSA6IcswxWiBWuspbVOXNwBli9fSlzcMWXy5K9dpFur+2k0BVi27N27HtPVlcdFRW3DwMCA4OCXeeqpQXTrZvtIj1HChxAPRv5ihGjBGmtpBcjJySY7+2KDbXUX6Tlz3mTatBlkZV0gKSlBn4fbZO6n0RRg587P2b49mqioTyguLgKkPE6IlkoCiBAtWGMtrTqdju3bt941unG/F+nW6H4aTV1cBhIQEMTkyYH06+fA0qUL/7+vlMcJ0RJJABGildm4cS1BQdMwMTFpsP1Basdbm/tpNO3SpauybeDAQZw58x3V1dVSHidECyUBRIhW5OrVnygpKeHQoa+Jjt4MwI4d20hLO/dAteOtzf00mm7YsIaqqioALl++ROfOXTAyMpLyOCFaKJmEKkQr8uSTf2Dx4reVz+Hha5g4MYA2bdqg0+mUi7RKpSIlJRk/vxea72AfofqNpu3bWyqNpuvWhdG2bTsCA6diZdWB0ND36Ny5C1lZmSxZshyATp2eZNKkKaxe/SGGhoaMG+f7yCegCiEenCzDFaIFa6yl1dRUTWFhIXv27CQiYgNTpwbj6/s81tadSEw8xeHD39C+vSXGxsaPzSoYIfRJluHqhwQQIYQQoh4JIPohc0CEEEIIoXe/OAIihBBCCNEUZARECCGEEHonAUQIIYQQeicBRAghhBB6JwFECCGEEHonAUQIIYQQeicBRAghhBB69z8GPIhtv4nEPwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D \n", + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.gca(projection='3d') \n", + "surf = ax.plot_surface(strike, ttm, iv, rstride=2, cstride=2,\n", + " cmap=plt.cm.coolwarm, linewidth=0.5,\n", + " antialiased=True) \n", + "ax.set_xlabel('strike') \n", + "ax.set_ylabel('time-to-maturity') \n", + "ax.set_zlabel('implied volatility') \n", + "fig.colorbar(surf, shrink=0.5, aspect=5); \n", + "# plt.savefig('../../images/ch07/mpl_20')" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "d6126afb-1ead-4859-9b01-813c80c5c3dc" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.view_init(30, 60) \n", + "ax.scatter(strike, ttm, iv, zdir='z', s=25,\n", + " c='b', marker='^') \n", + "ax.set_xlabel('strike')\n", + "ax.set_ylabel('time-to-maturity')\n", + "ax.set_zlabel('implied volatility');\n", + "# plt.savefig('../../images/ch07/mpl_21')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interactive 2D Plotting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Basic Plots" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "e6364d22-c102-4a31-8bf1-35edbc5bbaae" + }, + "outputs": [ + { + "data": { + "text/html": [ + "" + ], + "text/vnd.plotly.v1+html": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import cufflinks as cf " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.offline as plyo " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "" + ], + "text/vnd.plotly.v1+html": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plyo.init_notebook_mode(connected=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "a = np.random.standard_normal((250, 5)).cumsum(axis=0) " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "index = pd.date_range('2019-1-1', \n", + " freq='B', \n", + " periods=len(a)) " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(100 + 5 * a, \n", + " columns=list('abcde'), \n", + " index=index) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " a b c d e\n", + "2019-01-01 109.037535 98.693865 104.474094 96.878857 100.621936\n", + "2019-01-02 107.598242 97.005738 106.789189 97.966552 100.175313\n", + "2019-01-03 101.639668 100.332253 103.183500 99.747869 107.902901\n", + "2019-01-04 98.500363 101.208283 100.966242 94.023898 104.387256\n", + "2019-01-07 93.941632 103.319168 105.674012 95.891062 86.547934" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head() " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plyo.iplot( \n", + " df.iplot(asFigure=True), \n", + " image='png', \n", + " filename='ply_01' \n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plyo.iplot(\n", + " df[['a', 'b']].iplot(asFigure=True,\n", + " theme='polar', \n", + " title='A Time Series Plot', \n", + " xTitle='date', \n", + " yTitle='value', \n", + " mode={'a': 'markers', 'b': 'lines+markers'}, \n", + " symbol={'a': 'circle', 'b': 'diamond'}, \n", + " size=3.5, \n", + " colors={'a': 'blue', 'b': 'magenta'}, \n", + " ),\n", + " image='png',\n", + " filename='ply_02'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plyo.iplot(\n", + " df.iplot(kind='hist', \n", + " subplots=True, \n", + " bins=15, \n", + " asFigure=True),\n", + " image='png',\n", + " filename='ply_03'\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Financial Plotting" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "# from fxcmpy import fxcmpy_candles_data_reader as cdr\n", + "# data = cdr('EURUSD', start='2013-1-1', end='2017-12-31', period='D1', verbosity=True)\n", + "# data.get_data().to_csv('../../source/fxcm_eur_usd_eod_data.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "# data from FXCM Forex Capital Markets Ltd.\n", + "raw = pd.read_csv('../../source/fxcm_eur_usd_eod_data.csv',\n", + " index_col=0, parse_dates=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 1547 entries, 2013-01-01 22:00:00 to 2017-12-31 22:00:00\n", + "Data columns (total 8 columns):\n", + "BidOpen 1547 non-null float64\n", + "BidHigh 1547 non-null float64\n", + "BidLow 1547 non-null float64\n", + "BidClose 1547 non-null float64\n", + "AskOpen 1547 non-null float64\n", + "AskHigh 1547 non-null float64\n", + "AskLow 1547 non-null float64\n", + "AskClose 1547 non-null float64\n", + "dtypes: float64(8)\n", + "memory usage: 108.8 KB\n" + ] + } + ], + "source": [ + "raw.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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2017-12-25 22:00:001.186671.187911.184671.18587
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" + ], + "text/plain": [ + " AskOpen AskHigh AskLow AskClose\n", + "2017-12-25 22:00:00 1.18667 1.18791 1.18467 1.18587\n", + "2017-12-26 22:00:00 1.18587 1.19104 1.18552 1.18885\n", + "2017-12-27 22:00:00 1.18885 1.19592 1.18885 1.19426\n", + "2017-12-28 22:00:00 1.19426 1.20256 1.19369 1.20092\n", + "2017-12-31 22:00:00 1.20092 1.20144 1.19994 1.20144" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "quotes = raw[['AskOpen', 'AskHigh', 'AskLow', 'AskClose']] \n", + "quotes = quotes.iloc[-60:] \n", + "quotes.tail() " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "01b01686-d054-4518-aea8-d249c883ffa2" + }, + "outputs": [], + "source": [ + "qf = cf.QuantFig(\n", + " quotes, \n", + " title='EUR/USD Exchange Rate', \n", + " legend='top', \n", + " name='EUR/USD' \n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "uuid": "1b0d2b42-2091-4a6b-98d9-cb12ffa5d2a3" + }, + "outputs": [], + "source": [ + "plyo.iplot(\n", + " qf.iplot(asFigure=True),\n", + " image='png',\n", + " filename='qf_01'\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "qf.add_bollinger_bands(periods=15, \n", + " boll_std=2) " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plyo.iplot(qf.iplot(asFigure=True),\n", + " image='png',\n", + " filename='qf_02')" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "qf.add_rsi(periods=14, \n", + " showbands=False) " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plyo.iplot(\n", + " qf.iplot(asFigure=True),\n", + " image='png',\n", + " filename='qf_03'\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch08/08_financial_time_series.ipynb b/code/ch08/08_financial_time_series.ipynb new file mode 100644 index 0000000..61afaaa --- /dev/null +++ b/code/ch08/08_financial_time_series.ipynb @@ -0,0 +1,3136 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Financial Time Series" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from pylab import mpl, plt\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Financial Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Import" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "filename = '../../source/tr_eikon_eod_data.csv' " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Date,AAPL.O,MSFT.O,INTC.O,AMZN.O,GS.N,SPY,.SPX,.VIX,EUR=,XAU=,GDX,GLD\\n',\n", + " '2010-01-01,,,,,,,,,1.4323,1096.35,,\\n',\n", + " '2010-01-04,30.57282657,30.95,20.88,133.9,173.08,113.33,1132.99,20.04,1.4411,1120.0,47.71,109.8\\n',\n", + " '2010-01-05,30.625683660000004,30.96,20.87,134.69,176.14,113.63,1136.52,19.35,1.4368,1118.65,48.17,109.7\\n',\n", + " '2010-01-06,30.138541290000003,30.77,20.8,132.25,174.26,113.71,1137.14,19.16,1.4412,1138.5,49.34,111.51\\n']" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f = open(filename, 'r') \n", + "f.readlines()[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "53a33e39-a3ff-4c95-b0f2-a94d727ae0da" + }, + "outputs": [], + "source": [ + "data = pd.read_csv(filename, \n", + " index_col=0, \n", + " parse_dates=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "53a33e39-a3ff-4c95-b0f2-a94d727ae0da" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 2216 entries, 2010-01-01 to 2018-06-29\n", + "Data columns (total 12 columns):\n", + "AAPL.O 2138 non-null float64\n", + "MSFT.O 2138 non-null float64\n", + "INTC.O 2138 non-null float64\n", + "AMZN.O 2138 non-null float64\n", + "GS.N 2138 non-null float64\n", + "SPY 2138 non-null float64\n", + ".SPX 2138 non-null float64\n", + ".VIX 2138 non-null float64\n", + "EUR= 2216 non-null float64\n", + "XAU= 2211 non-null float64\n", + "GDX 2138 non-null float64\n", + "GLD 2138 non-null float64\n", + "dtypes: float64(12)\n", + "memory usage: 225.1 KB\n" + ] + } + ], + "source": [ + "data.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AAPL.OMSFT.OINTC.OAMZN.OGS.NSPY.SPX.VIXEUR=XAU=GDXGLD
Date
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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data.plot(figsize=(10, 12), subplots=True); \n", + "# plt.savefig('../../images/ch08/fts_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "instruments = ['Apple Stock', 'Microsoft Stock',\n", + " 'Intel Stock', 'Amazon Stock', 'Goldman Sachs Stock',\n", + " 'SPDR S&P 500 ETF Trust', 'S&P 500 Index',\n", + " 'VIX Volatility Index', 'EUR/USD Exchange Rate',\n", + " 'Gold Price', 'VanEck Vectors Gold Miners ETF',\n", + " 'SPDR Gold Trust']" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AAPL.O | Apple Stock\n", + "MSFT.O | Microsoft Stock\n", + "INTC.O | Intel Stock\n", + "AMZN.O | Amazon Stock\n", + "GS.N | Goldman Sachs Stock\n", + "SPY | SPDR S&P 500 ETF Trust\n", + ".SPX | S&P 500 Index\n", + ".VIX | VIX Volatility Index\n", + "EUR= | EUR/USD Exchange Rate\n", + "XAU= | Gold Price\n", + "GDX | VanEck Vectors Gold Miners ETF\n", + "GLD | SPDR Gold Trust\n" + ] + } + ], + "source": [ + "for ric, name in zip(data.columns, instruments):\n", + " print('{:8s} | {}'.format(ric, name))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary Statistics" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 2216 entries, 2010-01-01 to 2018-06-29\n", + "Data columns (total 12 columns):\n", + "AAPL.O 2138 non-null float64\n", + "MSFT.O 2138 non-null float64\n", + "INTC.O 2138 non-null float64\n", + "AMZN.O 2138 non-null float64\n", + "GS.N 2138 non-null float64\n", + "SPY 2138 non-null float64\n", + ".SPX 2138 non-null float64\n", + ".VIX 2138 non-null float64\n", + "EUR= 2216 non-null float64\n", + "XAU= 2211 non-null float64\n", + "GDX 2138 non-null float64\n", + "GLD 2138 non-null float64\n", + "dtypes: float64(12)\n", + "memory usage: 225.1 KB\n" + ] + } + ], + "source": [ + "data.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data.pct_change().mean().plot(kind='bar', figsize=(10, 6)); \n", + "# plt.savefig('../../images/ch08/fts_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "17ae59ff-9863-4c30-9493-22d44c0e5edf" + }, + "outputs": [], + "source": [ + "rets = np.log(data / data.shift(1)) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "17ae59ff-9863-4c30-9493-22d44c0e5edf" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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AAPL.O
Date
2018-06-25182.17
2018-06-26184.43
2018-06-27184.16
2018-06-28185.50
2018-06-29185.11
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" + ], + "text/plain": [ + " AAPL.O\n", + "Date \n", + "2018-06-25 182.17\n", + "2018-06-26 184.43\n", + "2018-06-27 184.16\n", + "2018-06-28 185.50\n", + "2018-06-29 185.11" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### An Overview" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "window = 20 " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "data['min'] = data[sym].rolling(window=window).min() " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "data['mean'] = data[sym].rolling(window=window).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "data['std'] = data[sym].rolling(window=window).std() " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "data['median'] = data[sym].rolling(window=window).median() " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "data['max'] = data[sym].rolling(window=window).max() " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "data['ewma'] = data[sym].ewm(halflife=0.5, min_periods=window).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AAPL.Ominmeanstdmedianmaxewma
Date
2010-02-0127.81854427.43754429.5808920.93365029.82154230.71996927.805432
2010-02-0227.97997227.43754429.4512490.96804829.71111330.71996927.936337
2010-02-0328.46140027.43754429.3430350.95066529.68597030.71996928.330134
2010-02-0427.43568727.43568729.2078921.02112929.54711330.71996927.659299
2010-02-0527.92282927.43568729.0998921.03781129.41925630.71996927.856947
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" + ], + "text/plain": [ + " AAPL.O min mean std median max \\\n", + "Date \n", + "2010-02-01 27.818544 27.437544 29.580892 0.933650 29.821542 30.719969 \n", + "2010-02-02 27.979972 27.437544 29.451249 0.968048 29.711113 30.719969 \n", + "2010-02-03 28.461400 27.437544 29.343035 0.950665 29.685970 30.719969 \n", + "2010-02-04 27.435687 27.435687 29.207892 1.021129 29.547113 30.719969 \n", + "2010-02-05 27.922829 27.435687 29.099892 1.037811 29.419256 30.719969 \n", + "\n", + " ewma \n", + "Date \n", + "2010-02-01 27.805432 \n", + "2010-02-02 27.936337 \n", + "2010-02-03 28.330134 \n", + "2010-02-04 27.659299 \n", + "2010-02-05 27.856947 " + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.dropna().head()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = data[['min', 'mean', 'max']].iloc[-200:].plot(\n", + " figsize=(10, 6), style=['g--', 'r--', 'g--'], lw=0.8) \n", + "data[sym].iloc[-200:].plot(ax=ax, lw=2.0); \n", + "# plt.savefig('../../images/ch08/fts_05.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### A Technical Analysis Example" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "956890ca-7927-4fac-a99a-af7a15cac58f" + }, + "outputs": [], + "source": [ + "data['SMA1'] = data[sym].rolling(window=42).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "956890ca-7927-4fac-a99a-af7a15cac58f" + }, + "outputs": [], + "source": [ + "data['SMA2'] = data[sym].rolling(window=252).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "f5440e3f-b808-4685-9bec-5f6ca39609c5" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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AAPL.OSMA1SMA2
Date
2018-06-25182.17185.606190168.265556
2018-06-26184.43186.087381168.418770
2018-06-27184.16186.607381168.579206
2018-06-28185.50187.089286168.736627
2018-06-29185.11187.470476168.901032
\n", + "
" + ], + "text/plain": [ + " AAPL.O SMA1 SMA2\n", + "Date \n", + "2018-06-25 182.17 185.606190 168.265556\n", + "2018-06-26 184.43 186.087381 168.418770\n", + "2018-06-27 184.16 186.607381 168.579206\n", + "2018-06-28 185.50 187.089286 168.736627\n", + "2018-06-29 185.11 187.470476 168.901032" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[[sym, 'SMA1', 'SMA2']].tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "281a5820-2a77-46b4-b399-8c0913423bc3" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[[sym, 'SMA1', 'SMA2']].plot(figsize=(10, 6)); \n", + "# plt.savefig('../../images/ch08/fts_06.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "data['positions'] = np.where(data['SMA1'] > data['SMA2'], \n", + " 1, \n", + " -1) " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data.plot(subplots=True, figsize=(10, 6));\n", + "# plt.savefig('../../images/ch08/fts_08.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "07158c72-907f-4636-ad40-95182b7728e3" + }, + "outputs": [ + { + "data": { + "image/png": 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2010-01-050.003111-0.035038
2010-01-060.000545-0.009868
2010-01-070.003993-0.005233
2010-01-080.002878-0.050024
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" + ], + "text/plain": [ + " .SPX .VIX\n", + "Date \n", + "2010-01-04 NaN NaN\n", + "2010-01-05 0.003111 -0.035038\n", + "2010-01-06 0.000545 -0.009868\n", + "2010-01-07 0.003993 -0.005233\n", + "2010-01-08 0.002878 -0.050024" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rets.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "rets.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "771c53bf-78fb-4260-865b-39307973cb77" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "rets.plot(subplots=True, figsize=(10, 6));\n", + "# plt.savefig('../../images/ch08/fts_10.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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06/V21vXdFYQQt3kU5Qdvr6n9QeC78zz/1izLfi3wK7m1pvYfAVeAGbCX5/lveFvt6HGe539Vjp1/bP2ZfxXw/cA/Ar4vz/PZO31HBwcLGWEjHrlv+ejPvOvH/uj3fM0DXIl41rRdX/faWceNacmFrRTvPdZ5onU/2f3NAYPk1pOV81XDomhIooCdjdPsruXKYYHH46yn6SzHixqF4uULI5Zly6feOOHgpELrvra2aVu2x2lfjgBM0oiibvua2c7iUaSRYTQIeWl/RNs5bkwLThYNO+OEnY2Yy3tjokCfrePqUR+IS6ZWiDuXHzz0oFY8+SSoFY+DBLXiYSrrjlXVcjKvCcP+pGQcGprWkcTmtg1g5+msY1E0zFYNAE1jOZhVLIoGoxSjQYhW8Or1BSeLGqUUCmitRes+87q3kVK3HavaEmjF4bRkcxyzu5Xy8t6YODK8fmPJmwdLFkVN9vIWcRjw4S+9cFY7673nZFFz7bhglIbsbqRnAXm7DrKNVmyPEwl2xXPhcdbUCiGEEI9UGgekccAwCVmVLUkcnPWXrdf1r+/UA7asO26clDjvWFVdn+UNFOM04OrRkmvHFXubMZ31lLXFGIP3jrq2zMuazWGCc37dzcCQhKCU4v2XxuxuDkiTcF3TG1A1LZ21LEvLZ16f8eUf2qWoOrz3jNKQ6bLhzcMli6Kl6SxaqbNa4MNZdVaOYLRma3z+KF4hngcS1AohhHjqWedQqLNMpfOe6aKf1rU5fqs91rJsOZyVAEwGEVvj+NyMbVH1U72UUhRly/YkYV40lHVf/zoZhDSNo7WOqm0x6LPs6YZJCENNEge8vD8iDBVt55gtGwZpwCAMee3GnE+W64ENSoPqn3NjGFLUHZ989Ril1rW1qg+yrXXUjaXpLN77u2aahXjeSFArhBDiqbYsW45m/b7i/a2UNA6YLRvmRV820DnPxXVrrtNJXVXTcTSrWBTp2WNuNkgClmXLqmqZF+3Zpq84NIBiMgw5mJZorwi1ZmMcU9Z9KzDnoaotk4HjZFGxLDu09lw9KhikIctlw/Gib/nlge1xgjGKrvOgwPkV1ShmlIYcnJRsjCKO5xVt50gTQ1l3HMwqvuKDO+xuJJwsaozWbIxuHadrneNoVuE8bI3j9dqFeHZJUCuEEOKptigaPP3WgGXZksYBN+8XufnyKA0pqo5V2fX3w7MomtuC2jDQxJFmXjgu7QyYr1oaLMYojFEkgcYoTWk76qpjbzNlZ2dEYy1vHqzY3UjY30xZlA0HJxXXTgoWq5a9jYh5ZTmZV5R1h6LvrvDC3ogk1oySkCQxHJ4UXD3yjAcho2GI1pqm6zi8XpJEAWkSEgear/yiPfa3bu2le2q2bCjWQfzx3HNpZ/iAP3khniwS1AohhHiqxaE5qys9HSu7MYronMc5z/ZNdaZpHPDi/pBBErCq2rPHv93xoqZqLFpp2s5yaXdA3Vg+d3VBFBis84SBomphkEaMBxGbo4jr04okCqgay9Xjku1RjNZQVC2ds9yYliitcc7hHGgFy7JjUTS8vD+itZbXrheczFuCUDFdGkZphPOeKNRorZkua1Bw5XDJi/sjdjfScz+Xm8sTpFRBPA8kqBVCCPHEmq8aqqZjlEa3teACmC5r5kWDdZ6LWynDtD8Fb7Rmf/P8YM9ozd5myqAKUEAYGN44WGKtZzwMqRvLdFETR4ZhGhAGEbsbKXVjmRUtXWex1jENDJ2rubCR8OL+EFAczSq0gmnREocBKMW8aKhrizJQto5Ar6eDGdBGMYw13jmmq4aTRU1Rt1SVpekcgVFsTxJ+xRfvsqgsF7ZSPntljnWe2arln/zr63zpB7Z5aX+E0be2nt8YRXjvcd6zOZINZOLZJ0GtEEKIJ1JZdxwvqvVly0v7o9taVs2Wfd2s0Yr1JNpbOO+ZLRuc82yMorMNYwDDpO+GcLKoqRvLyaLmU69PeXF/SBQaOuvYHCRsrzeaBUaxM45ZFC1G9UMaLu6kGK0JjUErhTGazvbdFW5MC64cLSgri8dTFS2dV9Re4RVERmGCgCAMcM5zeFxRNB1101G3ls55FJrPvHFCFAW8sjdiMkzYmTQcTkumy/6zuXa0omksnfW01nFpe8DeVopW6myamhDPAwlqhRBCPBX6utlbg9og0GfTwcLg9iGZs2XDbFUDfd/ZC9u315+GgWZVdTSdxRiYr1oubAeM0pgkNHjf1+Uez2uMUWyOI+rWoipF03rKut8MtjGMiKOAF/cnLItjFmXLrGj6kbnW01joqwA8kQmIk4A4gK7tmDWepu1vs9aitCLAEwYB1sF8UfG5tkMphTGGRdmSRIa2s1w7LqnbvqduVXdcPVzxJe/b4n0XJw/2CxDiCSdBrRBCiCdSGgdsjmKqxjJKw9tOrwNc3E5ZVX2brSS6/Z+0mzeJuTsMGxqlIRd3Bhyc9N0Tmtad9bctm47VjY40NsxXDZNhhNaKrVGM0YqmtQzTlLLpuD4tGMYhaayZjCIWVYNBUdwUdCul6KxFK98Paug8nfU0XYe10HUerSEwCm00g8gQhIrjRc3VwxXKaNIkIFSa9+2PsQp2xglNZ7HOUTWOKLTMVy1F1TJYZ6NP2XUt73m/AAjxtJOgVgghxBPrbrWgRmsmg+iOt2+MIlrr+g1j73Aqfn8zZRAHdNYxHoQ0rWNVtXgPs1VNFKakSUDTOTRgrSMJA953acKN44JXTyoCDXPrOVn2QbFRis450tBQNhalQOFJI8MgDWlai/MK5xxF5XGnMbeDMIBBHLExjrFdy+evz9FeEUWasgrZnaSg+xG8xmgubyRsjSKuHJWMByGTYXjb5rCq6bh+XOLpa2ylzlY8aySoFUII8cwyWnPhDi2vTlVNh9H6bOIYQBIp0jigrDsmw+gss3lxe7CeNObpnEMBUWQIA8XVwwK1rrUNtaa1fcFEmhicAttZ6hZa5yibvh52OIgA9VZACwQGnHc4HFePFsyWlr5c2J9NFFs2DVcPVwySmjePCrbGER+6vMlXfekFOuf7TO/bgtrTgRLQtz6ToFY8aySoFUII8dw6nlfMiwaFumUIg1LqLBi2zlFUHVFgiCNDFBqqpu//qrXi8KRkWbYsq5Y41CRhwKpusevgsm0d1jqq1uGdR2uN0qDxNG1HXd+6wy0wikGsKRvHqrTcXDRxGtziHG8cFtStZbZsuBJpThY1QaAItCEwmvEowjnPha0Bm6OIJDLMi/55Bu8wIliIp5X8VAshhHhuFVUfnHo8Zd3dNoQB+mzveBAxWzVcOy4wuh9fm0QBTWvxSrExjFmUDVVlaZVjYxjRtBZ8QGctkQflPa1b99VtLNZZXO2w9tbXqxpP1VgUcF4V8GJlqZuSIDS4ztO0/fjcVTnj2tGK3cmA/e0BL18YM0xDkshgjGIyiLi8o7HOn/s+hXjayU+1EEKI59YwDZmtahTq3D64N5suajyezvWbuw5nFZ3tJ46lkaGoWhj1m7CSqO9RO13UFDUUdd+5IAk1r1wcce2kZDqraJzH3uH1zt/WBhYoW6C99ZHOwmzZUVUL0Ir97ZTNUUTTOU73yEV3GJXrfR9Ih4G+pe2Z9/37rBvLZBgxGd65flmIx02CWiGEEM+trXHMKA1QSt0SzJ3n5vZhZd3hvEcp2BrFfODShDA0XDlcEhnNyxfGbI8TPvnqMcuiIQ40eEUYGa4cFUznDc577J0i13fJebDKYxR88NKE69OSou4YxIaNdwhIr5+UVE2HVopLOwPCoA9+i7o7m7x2vKgYpeFtvYKFeFJIUCuEeOp8y0d/5h1v/9Hv+ZpHtBLxLDgN4O7m4nbKquwIA03V2LP+t2kcEIWG3UlCoBTKKF7cH+H8AhNonAcTGIqyZdV0OOtw3mE0xAHU3YN5H2r9Z28yIIkN//KzxwwHAaC4dlSyOUoYpSGrquVoVhEYzf5WitbqrEbYnWVs+8/E3BTAaqWQabviSSZBrRBCCHEPjNZnp9/TOCAMNN57RmmI9xAYzc5m3zbMOc+Vw4KmtcRRgMJTVg1N20/+Csw6SDSqLw94AOvzQKjBYzmZ18xXLUmo2RinXNwasCwb0thwNK+wzuO8ZVG0bI1jBklIUbUYrW+pt02igL3NfkTwKL29TZgQTxIJaoUQQoj7ZJ1jEAdnp+KV6gc3rMqWJA5YFA2jNGR/o6+3HaUhKEV9sKTt+k1ggzRgVd55Q9i70Th487DGqBqjWfesjfjslSmzoqFuDtZBuGKQGuLQUNaGjUHE1ijCaH1becEwCc9GCgvxJJOgVgghhLgPy7I/fQ/c0gYsjYOzy11nSSLTb9ZqI3Y3U66flFxVCq0VbeuZLvrhDu6Or/TuWQ/WwmzV8sbBiqaznCwaThYVgzRkmATsTBKc85wsagZJwO5GyjDRdNbdtb5YiCeRBLVCCCHEfVgUzS1DDN7eHqvtLDemFc5D2zn2twaUTYdzEIWatu1oVZ+d1Uah15MXHkZw2zm4clhwPK/YGMa01nGybNiZxAzjkDcOVmwMWva3BwzigPmqoeksaRywv5lKuYF4qkhQ+5TKsiwEvg/4ReArge/K87xd3/a1wIcBDXwiz/OPP7aFCiHEMyaJAup1O604unWTmfeeN24suXZUMFvVbAwjbpwUvHG4Qmnfj8w1mthAEgZsjkLqrh+gUNTulsliD4r1UDWOqinRGoyGyCiuHa94aX9M6yz/+vOHvH4jwnvF3lbK7kZKZ909b6IT4kkgQe3T6xuAK3me/1iWZd8NfD3wk+vb/gjw1fQbYX8WkKBWCCEekK1xTBIZlOoD3JtZ50H1U8G89xijzgY3BEZjLRjT161GoebLPrBDGgV86vUTPvPmnEXRvL397ANx2jrM2v7PqmyYDCNuTEuuf26Fd55BErC9MSCJAjYGEUZKEMRTRoLap9cHgDfWl6+ur58a53luAbIsG9/tiba2BgTy27h4huzt3fXHXjwCBweLx72Eh+ZOE7kCoxmmEZd2YTKM2BxFDNMQ5xSvXp9zeW/I9iRmWXaM0oCdccJkGPddETrHZ6/MqZrugbX5Oo8DVrXl+nHBlcMlrQVjFHXnSZKWrXHIC3sj9F1KD4qq42heobVifzMlDCQIFo+XBLVPr88BL68vX1pfP7XIsszQZ2rnd3uik5Piwa9OiMfoWQ6mxJNvfzPFTuJ1X9c+MHzlkmdzHGOM4srBkoN5zSDSeKWIQsXORsIg3sUEmqJq+dybC5rOPfDhDKdaC4uyPZs0pjrONo+NBxHLouHTr0/RWvH+yxMmg9sHN5wsa6xzWAfzVcPORvJwFivEPZJfq55ePwVczrLsm4HLwC9kWfYj69v+MPD7ge8F/tBjWZ0QQjzHjNa3brLyfTYUYGuccHln0Gd7vedg1veUtc4xTiNsB3GkGcSaQPfZiYfBWrAOnOvXp5wHPD+fH/Dxf/o6n7ky5WhW8fkrs3MfHxpF01pWVStTxsQTQTK1T6n1prDf+7bD37q+7R8C//CRL0oIIcS5Nsdx393Ae4xWpEmA957DWc3RrKTrLLOiZW8zoe4cOxsRi7LlxkmFc45V1bGqH3x/BK36elvvYFF3fOHqkkvbKYuqRS01yitMoJmtmtvG7A7jkDcPl0SBoag7tsbxA1+fEPfjXWdqsyyTLK8QQghxD6z1tJ3DOk9oNGVlKaqOQaRprcOjiANDHAV88QubDNOIKDBsjCO00UzGMZsDQxxCoME8gMSogrPyA4DOOsqm5WTZoFCERnG8rLBdx7/87CGvXV/Q2T6wbjvHawcLytpSt5a2s3j/kGolhLhH75ipzbLst+Z5/lfucPMPAv/tg1+SEEII8Ww5XlS0nWVZtnSdY2MU45zGmL6etm0tl1/eZJSGlHVHEPRRa9k4diYpUaDZfWWT6bLhYFZTNx0ni4qqfefXNcAdmymoPlPrXN8zV6HwHgaJ4cLWADzU1rMsLVHnaTrLdFGBUlw/KbHWEQaaqrGMB9FtPW2ny5q6sYwHIQOZSCYegbuVH3xXlmU/l+f5J08PZFkWAX8S+O1IUCuEEELclTEa1h0OtNYo1dfNKhSBNgxGAXEUcGl3xPWTgotaY71nXrQERnFpZ8gHX5zwhTfnhOGS2bLBWUe3bLD2/DEHpM7aAAAgAElEQVS7RkMUQN1yW/9bo/tgVq8vGw2TQUhgNKuy4zhs2NtIGAVQ1A2jdMDVwxVHs4rDaYn1/dS0l/bHXNhK2ZncukmsrDumyxqAqrG8tB/cc92tc15qdMW7creg9v8GvinLsit5nv9AlmUfBv4qMAV++qGvTgghhHgG7E4SZkYziAOKuqPrHLsbA0DRrk/pO++xzrE1irHWsztJ+OKXNmmsYxAHXD8umRUtHk0aBextDQmMYla2tJ3DaEXTevw68xqHGufcLSUGav3Hu/6/1vflDGkUEAYaaz1V66jqFusiOu9ZVh319QXjUUwaGV4/XDFMArxfT0XTmmXV0rYO7z2T4e2dEqCftFa3/Xs5L2h13nP9uKBuLYMkZH8zfcDfgnjWvWNQm+f5twJkWfafZFn2z4AP0e+s//PA3kNfnRBCCPEM0FqxNY5x3nPtqMB7z2zZsLeZYrTGOkcaBRitMRou7w4JA40xmkXRgO9bf81WLXVjGcQRatWg9ZD9nb42dlV1LMuWomz72td1SzF/Ux43Cvqscd041sljAqOJQsPuRsrhvKJqWhYrxYHpe9CeLGo66xgXLeNBiFYwm9c4PMuypY9P/Vn5QWsdF7YGbI1iqtYyTkM667hyuOJoUeEcfNGLG2yO+o1lne0D77ZzZ5Paiqql7WLpfSvuy91qan898Drwp+nLcn4C+Lk8zz1w4+EvTwghhHh2tJ2j6SxK9Rla5z0v7A7XI2lvDeA2RzGddYzSkM1RxPGiQWtFtT3gZFGhUJiJYn8zYXdzSN10fP7qjC9cXXBjWlJULc75PjMLJAEEgWYYG5xzaAVhoEjjgCDQdOusrlIKrRRlY1lWLXXd0VlPUbck0RiUYjwKCbVmtqxYVS0nyxrn+mA8Dg3W9SN/0yggjQNWVUfZdNRNH7Qez2smg4ii7jiclQBsDCO0UjjvCbQ+a4EmxL26W/nBDwC7wJ8F/mie522WZb8ry7KvA3bzPP+dD32FQgghxDMiDDSh6TseBEYTBaYfmatvn+oYBppLO0Ogn961MYyYDAKO5n3mtKgtcajZ3RiwPYm5emT5ohc2mS5q5kVH0zmc9Vhn0boPGvtg2hMGAUZDoBVxZIgCw7Js+2MmoO46wlCzMYg47hzDRPcBslJY5+laj9MdnfMo1TEZRsyWNbZzTAYhh7OKcj0WzQOjNCAJ+/c4SAKioK8rLm7a6Va3jks7A+rWkUTmrhPNhHi7uwW1DfAf5Xn+z08P5Hn+F7Is+yXA//JQVyaEEEI8Y7TqN301nT0LaO9mUTQczSugbw1WNZaythij+eALm3TOce2oYLao2d1M+FVfdpkXD5b8809e58ZJiVJglEYpjcNTtRbn+qwtqu96ULUWrfoBEYMkYJgY6taThIbtcYLH01mHtZ4g0DggCUP2thLePFxxNC1BK+LYsCy7WzauWeswWvO+SxO2JjGd9WwMY5Tqs8TFOvhN44AwMIQytl28S3cLav/UzQHtqTzP/22WZX/uIa1JCCGEeGZprUiie599dFpnCn39a1FVRJFmc5wyTALq1nG9LJitGoq64ys+uMMwDtgex6yqvg42DA2DOKBuGpquLz8IlGKUBkRRQFH1geiqbNFKkcQpUajRqs+sJrFhmIa0bV8mMRlFTBcNwyTkpd0R86JluqhpW4dSsDOJma1ajFZnG8fK2jJbtnj6Xr0bo5jxICIOzXpjmwSz4r2529+qf5Bl2U8AGfCPgN+X53kJkOf5X3rYixNCCCGed+NB1AedHnY2EqJQUzUdSikmwz5w9fQZ1GES8G9ePeZzV+dYB1vjlI1hwDiJGI9CXrtRYEyNUQq77ulllCaODIuiRSlN0zoOpxVpFNDYDoNiPIypGsvL+yOq1lLXlq94/zZpGvL5q3PKxvLCXl8qUdYtVeN4cW90y/so1uuEflPbxnqjWHSPwWzbWVZVRxyafsTwTTrr0EpJK7Dn3N2C2h8GPg/8DPBrgD8A/A8Pe1FCCCHE8857z3TZ4Jzn8u4Qo9X6lL1hVXYERmO0oqhawsAwHsAwDvj5T8+YrzrwnvddHPErv/Qiy1XDp96YsTtJ2N2IOZxW1I3Fek8YaraTCKVgvuo3l1nnWFYN3nu6ztM6z8YwYlG1jJOob781r2iOVnSdIw4V4TrY3BzFFFV39j5OuxrEkWZV9d0YBsm9Z6qhb/d19ajAeY9CcWlncBYMz1bN2ca5C9vpfWXBxbPlbt/8Is/z3wOQZdkPA3/94S9JCCGEeD61nWW6bAiMRuGZrRoAms6ebRozWp+d0j+clXjg4s6QZdkQasU4NXTW0FrPF72wRaAV//rVE9rOEkeGl3ZHtJ3l02+UtK0liQPKqmOcxninCIN+kplSHm8VHX0trXV9TfB8VWEdzFfNWXeGKDR86PKEzoLHsyhbXru+YDKMmK+avqOB0VzcGQD3X2rgnMetG+6e1veeBrXLojk7vio7CWqfY3drADc9vbBu4zU7vZ5l2R98WIsSQgghnhbee45mFW8ervqesu/BwbRvkTVb1cyKtzoDvH0i2Nlx56nqDq3ghZ0RH3pxk+3JgI1RzKXtAfs7Kct1hwEFWAud9QySiI1BxCAJCEy/QeyDL0y4tD9gOIiJA01oDNoYRoOIQRIyGgQMk4DAaLyCMIAkChgNIsaDiIs7Q166MGKYhgyTAOs8n3p9yrXjgqLqzkoE7iWgXRTNWX9c6GuJN4YxWikGcXBL+cHNQWwSS13u8+xuv878x1mW/fhN13/FTdd/GfDHHs6yhBBCiKdDWXcsyj6YPZ47hkn4rms7/U3jv0ZpiLUO6zxb4/i2+86WNUXd19aGgWZ7ErOqOrKXt0hvBGgUbdcPdXh5f8Qbh0t2xglRqAi0Ym8r4Y0Di/J90Pza9SVpFDBKFMrDIA2oa0vZdIBmb5KwLFpCo+naFoXBaM+ybHjlws5Z14JRGlLWHTdOSmbLhiTq+9bGoeb6cUEUGfY2krNhDW+3LNuzbg9l3XF5t89Qb43jcz+HnY2EQdJPKXtQm82sc8xX/Yji8eD8CWniyXO3oHYK5Dddv/nyBx/8coQQQoiny83BmTqdQ/su7W6kHC8qAqPZGvUTyG6clBxOK3Y2klsylKddEbz3HM8q4tCwMYwIjGKQ9JO/tFZsTxIu7w5533RM5zyfe3OGdZ4kDrm4Peizp5GmtZ4LmymB6TdyeRQzapTuA81F2dJZz/GiRvl+cMPLF8dsDiPqpmNVtQyTkDQOqGrL0awCPMYE7G0mGNMPeOgqxyoOGKXhbe+/bm1fruBAa84ytXcTh4bW9mN67xQs34+DaUXVvFUXLIHt0+FuQe0fzfP8Y+fdsB6bK4QQQjzX0jhgdyOlajrGafSehgbEkTmrnQWYzmuabj2Fa1Hzwk1B7XgQUdZ9De7mKGJZtsSh4YW9IVvjmKrpiALDOA3POiW8cbCgai2b45jFquHlV7Z486jgyuESUBjVb7b6wOUNispy46RAK00UaorKYoxCAUZD5+DGybqTgu/73u5tDohDjdYwTAPa1pHGAZe2hxzN67O62OCcaWF1Y7l2XPSb1MqW7XHC1uT2zOzbddZx9ag4GzV8YXvwrj//s+fs3gqmO3uH2g/xxHnHoPa8gDbLsk1gluf533toqxJCCCGeIqM0PDfz+F4Z89bWl/BtgWAaB7x8YXTWJgv6zKzR+ux0fBQYlFLUjeXq4YrDWd33iB1GbI+TdY1qzcXtlMNpzdG8JggMG8OE1jomw4hl2eGcp3WOQRKeje8NQ82FzRTrFaui4TNvdsxWLV/+gS2WZUfXebyC910Y0Tn6KWG6H7iQRAGLoqGznvEgJDCaaycrrhwVJJFhcxTxwt7wnrKuVWP79mRA2XRY1w97eC+2J3H/WRjFePDgv1fxcLxjUJtl2bcBXwt8S57nR1mW/RDwO4BZlmW/Ic/zn3kUixRCCCGeR/1o235D2OScU+BqPaFsvmqIQsMwCc/aX51uzLq8O2RVtRRNR2AUKuond22PYz57Zc502XK8qKnqljA0bI8jrHVMFxVF2TFd1uxvDhglfTA6GATYzq/rXQesKsvBtEB7R1m1XDksSKOAZKfvf1vUltb2m9WGScgwCW+ZklY1HbsbCdZ6jFaUdceFrcE9lxGcjtR13pNEwXsOaAEGScggkWD2aXO38oOvB373OqD9CuA30Q9iUMCfpe9fK4QQ5/qWj8r/IoR4u2XZ0rS2n/R1DyNhzwtmbxaHhr3N9Oy6c/6sFtV5T9M6ksiQRIay7pgMI17cG3IwrZgva+LIEAWaSTrAaMWy6NgYxoShZjgIiULdB7NJ34M2DAyTUR/4xqFhmPR9aJ3rc8arqqXtHJvjhEArjFacDkU7XdfNp/Q766lbx9G8QivF/lZ6y/u5m8BoXtgb0nWeKNS0ne1rhh9ga69l2eK8Z5SG76m8RDxcd/vGP5vn+SfXl78B+Ik8zz8NkGXZaw91ZUIIIcQzpqw7Dmcl0G/Geml/dJdH3D+jFVXTsShatifJ2Wn/D17eoGosSWQIAs2bhwWN9VRNx8XNlAs7Q1Zly85GgnWeqrYYpRiNU4ZpwMXtAYM4ZHMcsShaosAwTAOuHRe8sDPkeFmRRAHOgVGKnUm87oRgWRytiCPD9jgBYDIMqVtL1zm2JzEni5rNUUzdWIZJSBjcX7bVaI2JoKg6DqYlnj6zvT1J3vPnOV81HC/6rHLd2PsKuMWjdbeg9ubq6F8PfO9N1y3iiZVl2ZcBP5fn+fhxr0UIIUTv5t38zvkHtlv/ZouyJYkCQmMI9FujY6PQ3DKSNjSKVy6MqFtHEmqi0NB0Dq01i7LmQy9ssqr60gDn190InCMKDJd2+uxxWfcdAuLYcDEaUjeWk2XNMAm4flwwDQ1F1ZEmAUYpnHccThuiyHDxpg1di6IlDDRhoBkmfUuw+aohDDRb4/ieP6Oq6c5qjIu6Y/sBfJ6nG/X6y/fWjUE8HncLakdZln0j8H7gAvDTAFmW/QrgQ/fyAlmWvQL8buDTwDjP8z/zttu/A1jSlzX8ecDRB8//BPhq4I/nef75LMt+C7C9XsdP5Hn+/8mx84+tP9rfAly5l+9ICCHEozFc93BtOreul33wp7JPT48bo96xvnRzFPc1r1WH1v0QgzQxRGFAUbcsipZBEvDyxTHXjgqazq5rVhXTZY3WiskgYpSGVI1lnIa01pHEhqrpmK9aBolnui5xaLzl+nHZFzBWfb/b0xZlu5sJs2WDMYrJMOK16wus85wc1lw7XrEzSdnbSu966n+QBCyKFo9/YBv3JoOIqu5LGrZG0trrSaZubvT8dlmWXQD+JLABfDTP83+WZdkvBb4d+Pt5nv/E3V5gvbnsR9eP/RjwrXmeX1vfdgn4i3mefyTLsg8D3wT8PiDJ8/wwy7Jvpw94fxT4v/I8//ezLNsH/gp95liOve1Ynudfl2XZfwl8CvjreZ5/yd2+o66zPriHui4h7tev+46/+1he92Pf/5HH8rriVgcHi8e9hOfWbNXQtpbJMLolO3uqbi3Xj1d01nNxe8Ci6KeYdZ0jigwnywZN39Xh/ZcmhIHGun4j141peZahHcQh3vuzjKp1nsNZRVl3tNYRaM3xvGJ7EjMeRBTVW5nUvc2U4Xoz1umwBuiHLLxxY8F0VXM4rdgYxby4Nzorpbi5V691juN5jfeerXFCGGiqpuVwVhOFhp1J/EA2jokny97e+Nzfbu7W0us68NveduwXgd96txdcZxA/TJ+BvbY+fAN45abrrwAH68tXgQ/keb4EllmWDYAvAX4vsAcU69e/sc7+yrFzjmVZNgG+JM/zH8+y7G5fEwAnJ8U93U+Ip4UEU+J5tzF854ziZ96YMl01KPrWYJd2hjjvqVuLtY5QKzbHMYq+fEEphdFwsqi5elSgFQyTgBsnBaNBSNn0fWong+isrGBZtlTrDglR2HcoWJYti6JZbzB7K5M6XzV4PM55Pnd1RhwY5quWNDGEgWZRNjjnCUPNKA3Z3ejrWqeLhtV6DLD3FRe2B5wsGjrr6KwjWA+fEM+Hd7U1MMuyMfDleZ7/P3e6T57nfw34a+tM7UXgDWAfePWmu32BPjADuAR8bv38l4Bvpg9oL6wfM1jfdvocB3Ls3GNfBZxkWfbNwMb6v38zz/P63C9KCCHEc6WqO944WFE3dh2Q9lnXMNDUrcUYzaWdAWHQZ0WDda/cRdlnc1dlw2zVcmErZfOm4LluLG+sloSBZm8jxTlP3Vmizpx1Iri5n2/dWK6vkyqnr+G8RytNsh5okcZ9n91xGmLXZ5ar+g5beta5O+lO8Px6x/KDO8my7CPAH8vz/Jfew31Pa2o/A4zyPP8zWZb9ZmCQ5/lfvkNN7ceBf0y/Ue0kz/Pff1Pt6EXgb7+tnlSO3XRs/bl/A/BDwHfkef7j7/QdHRwsZFyKeCgeV0uvH/2er3ksryvE0+BwWvL6wYKrRyVpZPjwL7nAMO3LCJZli1Lq3HrURdFw46Tg+kmJ0ZoL2ykbg5jWWgKjuX5ScLKoMUbx0t6Io3nNomjQSvHlH9hh+LbnPJiWZ1nWODRM1gFyWXUsq5YkNGyOYqLQ0HaOa8cFHs/GMD6bmOZ930LM+75sITCazjpOFjVaKbbG8dlGuXtRNR1H8xqjFbsbyVmwLZ4sdyo/eFdBrXi2SFArHhYJaoV48syLhuN5hfeeURqxt5nSdu6s1djOJDm3Dtd7z3TZcPVoRWA0wyTg4s7grGb15z91g6rps6j7mymvXltgvWcQB2Qvb521wpqvGhZFQ9u5s+zqOI3Y2XjnMgHrHM71GeXpsma6rM/WO75LL997deVwddbt4EG1BBMP3ruqqRVCCCHEs2UyiAiNxq0DToDZsqZeT0g4XtRc3B7gvOdkURFozXgYge9rdbfG/Zhcs661PXVhe8DhtMJo1W/oSgJmqwalOKuf7aw76/laNR1pHLA5iu4pKDVac5o4Pd2oBlA2lvHgDg96ByeLmqazTAbR2eYzc1NW19xHhlc8GSSoFUIIIZ5xznvqxhIGmsDofnLYqqVpHZuj6JZT9EYrvPd86rUpx4uKKDBc2E5x6xatu5vJLZu8Tl3aGbIxjFF4VlXHpZ0B2+OYQRoySPpwQyuFVuqs28LEeWbLho1RzN5mena/u0njgKtHK5yDD16O7/vzWFX960Nfo/vyhRFKqbdai2l1Vg4hnh4S1AohhBDPuBsnJVXToVBc2hlwY1qeDYIwZt3pQPXB7OYopu0cq7qvd206y/GsYmPcB4+Loj03qNVKYa3jZFnjXd/mazAO2Z68FXRqrbiwNaBuF2yNY8q6wzrweOZFc89Brff0AbSCom7Z4v4D2/MYraXk4CkmQa0QQgjxDHO+H4ULffBYt/aWeaHec7ap6lSgNFujmKN5hVKKva2UGyclHnhp/85DDRZFHwgrrRgk4bkBYhwZXr4w5vpxgbOg1+W70X2MxtVaYYw6u3y/hklIM3Rn5QcPYwiGePQkqBVCCCGeYVophknIqmoxup/iFQaak0VNaDTjwflZ15cvjLnw/7N3rzGWrfl917/rvta+1K57d59z5pzxyGQxEAcHgrnITqR5gXgBxCaRgmXFMUZWRLCJsOOJHSIMgoiZ4CAZJIRlPDjBIMASI9vwIpAYOVwEyAkTA06Wxx7PmTmnb3Xd13V/Hl6s3burT19Od5+67erf57xZtXfttZ9dp7rqt5/6r/9/u0cUeJxOS5LYBwvmBZcWx5HHLO92gOPw+UN9oqALttZa8rLBwjN3f59noxeAtTStZfSaU77Ohni5GRRqRUREbri9zYTNJsLzHOra4DgOd3b6L3yM77lPtLSKlh0Ryqrh4DQnDLzVkIe87G5zHIfNfkQv9p/ZQeGjHKfb0X1VjuMwGiiUypMUakVERG6wsm67/rGug++5qwuktjdiNl6yFdbmMMIA1ljmRU1rauZFTeB1oXQ8rzDWgrVUrWHzJQKtyHlTqBUREbnBjsbFqvdqVRvCoNt9zcvmuaHWWsvJtKRuDZuDiCjw2N9MsNaSfaPkZNaF5M1BRI+uHraouscGGlggV0ShVkRE5AY7ew1UL/ZpWoPDs6eGPTJZ1EwWXUqtG8M7e4PluboLtALPJfRdzLLAdmsYEfjuc6eRiVwGhVoREZEbbHeUcPpoZ3UYrYLo646A3eiFBMtOBY/qZh3HeWKAwrMGGwAsipqyNvRfsuZW5FUo1IqIiNxgge+uRtQCuN7Ht68a9gLqpuV0VjGIPay1q7ZXe5sJs7zG85xndiyY5Y8HG5RVy7u3hqvjh6fdKN7pouJT+4O1aaU1WVS0rWXYC177zYBcPIVaEREReYK7DJu+5zArajzPXbXAcl9z2lbzaCQZXe9ca58sjXgdVd2ueunujuILCZzTRcXxpBvtm5cNb+2+uGuEXB2FWhEREXlK0z5uSFu35gWf+aR+7FM30ar84JFe5NOLA6qqZdgPX2towkedTMtumARwOi3ZPbMjfV7aM4152xc16ZUrp1ArIjfOD37h1154/5d+4nOXtBKR9bU5CDk8NTgObL7CzqzzkelkZ2/fP+fQ6ZwJxucRkp9l2AsoqpamNWxrYMO1plArIiIiT4lDn3f2B+d2vsmi4mRS4vsut7aScykV2NmI8F1nOYzh9SaLfRzPdbm93buQc8v5UqgVERGRC3c6LbFY6qZlntfnMhHMc122N+JzWJ3cBAq1IiIicuEC313Vvwb+erfzysuGo0mB5zrsbZ7PrrN8cgq1IiIicuH2txLmeYPvufTi84kfedlwOivxPZedUbzq2nDRjicFTWtoWpgu6mfWEMvl01sLERERuXCe62KtZVHW1M3Ld1N4kaNxQVm3zIua6bw6l3O+DO/Mzqx3QReoyavTTq2IiIhcuOmi4mS2HMpQG94+h36vjuuAOXN8SXZHMdNFjfeaPXvlYmin9oZK0/SfTdP07131OkRERIDVeN6PHr+qybziaFxQNy37mzGDOGBzEDFMnp5udlH85TAKBdrrRTu111yapu8BPwJ8FRhmWfbTH7n/x4AZkAI/k2XZ+2maRsB3AfqbiIiIXAvDXkjZGJrGvHYN6iyvOZ4up3tVDe/sDS5k4AKAtZaHJzlF1TJIAnZG6rJw3SnUXn9/HvhSlmW/kabpr6Zp+otZlt0HSNP0DvCHsyz7o2mafgfweeBfA/4M8J8Cf+xlnmBrq4e/5leiiryKvb3hVS/hjXBwML3qJcg14rqffPjCee32voy8bMmrBoBpXjEahOpycM0p1F5TaZp+P/AddDuw95c3PwTeO/Pxe8DB8vge8Jnlzi5Zln0zTdOXeq6Tk8U5rVreNB83ueu6UtgSWU+DXkBRt9SNYeuChi08EvgODg4Wi+e6FzaxTJ7UtIajSYG13XCNV2n/prcc11SWZX8ty7IfBjLg9vLmfeD9M5/2dWBveXwH+Bpd2cEiTdMfAEZpmn7fpSxYRETkgrnLUbtv7/bpxRdbQxv4Hre3e2wNY25v9y6tXdib7nRWkpcNRdVwPClf6bHaqb3+vgj8SJqmfwj49SzL7qdp+r1AL8uyn0/T9G+lafqn6XZ0/3KWZe8DpGn6J5eP15aUiIjIa4hCjyhUed5lOvvm4VXfRzjWXmxNilx/BwdTfRPIa1nX8oMX+dJPfO6qlyAi8sYyxnI6K7GW59Yx7+0Nnxl3tVMrIiIiVyIvuwuxkkhxRDqu67C98XqdJvRdJCIiIpduMq9W7bk2BxGbg/MbNWuM5XhaYCxsDSICX5cQvQkUakVEROTSFct2Wd1xe67nPp2VzPIaAGsst7Z753p+uZ701kVEREQu3SAJcZb/DS5wGpguGnlzaKdWRERELl0v9vnU/mDVB/Y8jQYhxliMtWwNNQnsTaFQKyIiIleiG2hw/v1fPddldzOhbgyep/6ybwqFWhEREblxHpwsyMsG33O5s9M7991guX70f1hERERulKY1q3ZhTWsoz/lCNLmeFGpFRETkRvFch8DvJoG5jkMYaCrYm0DlByIiInKjOI7Dne0eRdUSBu4zp1LJzaNQKyIiIjeO6zr0YsWcN4neuoiIiIjI2tNbGBF5rh/8wq9d9RJEREReinZqRURERGTtKdSKiIiIyNpTqBURERGRtadQKyIiIiJrT6FWRERERNaeuh+IiJzxcR0fvvQTn7uklYiIyKvQTq2IiIiIrD3t1Iq84dSLVkREbgKF2msuTdP3gB8BvgoMsyz76Y/c/2PADEiBn8my7P00Tf84MAB6wEGWZb90ycsWERERuVQKtdffnwe+lGXZb6Rp+qtpmv5ilmX3AdI0vQP84SzL/miapt8BfD5N078I/BngrwFD4Fc+7gm2tnr4vneBL0Hk5tjbG171EtbGwcH0qpcgIm8QhdprKk3T7we+g24H9v7y5ofAe2c+fg84WB7fAz4D/APAu1mW/UKapp8G/hPgX3jRc52cLM517SI3mYKaiMj1pAvFrqksy/5almU/DGTA7eXN+8D7Zz7t68De8vgO8DW6cHu6vO0Q2L3wxYqIiIhcMe3UXn9fBH4kTdM/BPx6lmX30zT9XqCXZdnPp2n6t9I0/dN0O7p/Ocuyb6Zp+itpmv4wXeD9N69w7SIiIiKXwrHWXvUa5IodHEz1TfAGU/eDV6M+tSIiV2tvb+g863bt1IrccAqtIiLyJlBNrYiIiIisPe3Uioi8ghftfKs0QUTk6minVkRERETWnnZqRW4A1c2KiMibTt0PRN0P1oBC682g8gSRm6WsWlwXAk3lvFTqfiAiIiJyTk6mJeN5CcDeZkI/Dq54RaKaWhEREZFXtCib1XF+5liujkKtiIiIyCsaJN3OrIOjXdprQuUHIpdEraDkk9RG63tE5HoZ9UN6kY/jgO9pj/A6UKgVOeOqQocuBJNP6qLeNH3c96bCtrzJAl9h9jpR9wO51O4HW1s9Tj7LxW0AACAASURBVE4Wl/V050brvlxa9+Va13Wfl3V//eu8/nVeO6z3+td57c/rfqC3GHKp/DVte6J1Xy6t+3Kt67rPy7q//nVe/zqvHdZ7/eu89udRqBU5wxjLeFYyy+urXoqIiIi8AtXUipxxcJqTV11rFmMtG73wilckIiIiL0M7tSJn1K1ZHTeNecFnioiIyHWiUCtyxvYwwnUcAt9jo69dWhERkXWh8gORM3pxwLtqoi0iIrJ2tFMrIiIiImtPO7UiIiLX2McNwPjVv/JHL2klItebdmpFREREZO0p1IqIiIjI2lOoFREREZG1p1ArIiIiImtPoVZERERE1p5CrYiIiIisPYVaEREREVl7CrUiIiIisvYUakVERERk7SnUioiIiMjaU6gVERERkbWnUCsiIiIia0+hVkRERETWnkKtiIiIiKw9hVoRERERWXsKtSIiIiKy9hRqRURERGTtKdSKiIiIyNrzr3oB8nrSNA2ALwK/CXw78ONZltXL+/4g8J3AFNjPsuwvX9lCRURERC6BQu36+h7gbpZlv5Cm6eeB7wZ+aXnffwD8VWAb+N8+7kRbWz1837uwhX7U3t7w0p7rPGndl0vrvlwXse6Dg+m5n1Oe9s//2C8/974v/cTnLnElIldLoXZ9fQb4YHl8b/nxI/808C8v7//baZr+41mWtc870cnJ4sIW+VF7e8O1/EWndV8urftyreu6RUTOUk3t+voacHt5fGf58SN3gdMsyyxQA+Elr01ERETkUinUrq8vA2+lafoDwFvAV9I0/bnlff8G8BfSNP0zwH+ZZVl+RWsUERERuRQqP1hTy4vCfvQjN//Q8r5fBX710hclIiIickW0UysiIiIia0+hVkRERETWnkKtiIiIiKw9hVoRERERWXsKtSIiIiKy9hRqRURERGTtKdSKiIiIyNpTqBURERGRtadQKyIiIiJrT6FWRERERNaeQq2IiIiIrD2FWhERERFZewq1IiIiIrL2FGpFREREZO0p1IqIiIjI2lOoFREREZG1p1ArIiIiImtPoVZERERE1p5CrYiIiIisPYVaeSZjLU1rrnoZIiIiIi/Fv+oFyMVI0/QWkAH/YJZl91/lsU1ruH+0oDGGXhywv5lczCJvAGMt00WNAwx7AY7jXPWSRERE3kgKtWsqTdMA+CLwm8C3Az+eZVl95lN+mC7UvrKiamlMt0u7KGqMiXFdhbVnOZmUTPMK6N4MbG/EV7wiERGRN5NC7fr6HuBulmW/kKbp54HvBn4JIE3T7wT+DvBdL3Oira0evu+tPh7VLcZ1sRai0OPWreG5Lnxv73zPd1mete4aBz8KABj0AvZ2+pe9rI91k77e60DrfuzgYHru5xQReR6F2vX1GeCD5fG95cekaeoB351l2Z9L0/TPvsyJTk4WT92WeA51Ywgde66/mPb2hmv5i+556zZVy3Sa4wCJ9/xf4vOiZjyriAKP7Y3o0soUHq27aQ3H0xKsZXsjxveudzn9Tfs+ue7Wdd0iImcp1K6vrwHvLo/vLD8G+DbgJE3THwBuA38iTdNfzLLs6FVOHvgugX+9g89lmOU1s7zGDZ/9TyUKPd7ZG7zwHNZaDk8LLJaqaYlCj0ESXMRyn+tkWrIoltUp01J10iLXzA9+4deuegkia0+pZX19GXhrGV7fAr6SpunPZVn2lSzL/hLdLq4DeMDp1S1zfbXGcDQuKKqGk0lJXjavfa6zG7PuFV9M9rxnn+U1Hx7OOTzNsdZe6ppEREQ+Ke3UrqnlRWE/+pGbf+jM/X8DSC91UTeM85H497pZ1HEcbm31mC4qwsCjF5/PP7uyahnPSwLfY3MQvrCkYXsjWr2azWH01P3WWo7G3W5y3bTEkX/pu8kiIiKfhEKtyHO4rsPeZsIsr9jdTKiL6rXPFYUeUXi+f/J/eJrTGgNlQ+C7Lwyhnuuy+4KSA8dxcBx4tEF71bvJIiIir0qhVuQFerFPL/bZHEYcfIJQexHOlgicR7nAre3z300WERG5LPrNJbJGZnmNtZZBErC3mTCeV4Qfs0v7sqLAIxrpAjIREVlPCrUia2I8KzmZlQCUdcvuKCGJ9E9YREQE1P1AZG1UjVkd12eORURERKFWZG1s9EM818V1HEb9pzsYiIiIvMn0t0uRNREFHp/af/GgBxERkTeVQq3cGMZaDk5zyqpl1A8ZDZ7czbTWcjqrMMYyGoTXflSsiIiIvDyFWrkxFkWzmvp1MisZ9sMn+q1O5hXjeXehVdW03NnpX8k6L9J4XjGelYSBx/7W404GTWuY5zWBr3ZdIiJyM+m3m9wYvvc4wHqu+9Q4WGOffXxTWGs5mRYAFFXDPK9X990/XtC03cVlt7Z66pogIiI3jn6zyY0Rhz77mz3KumWQBE+Njd3oB9RNS2ss28P4UtdmrL3wKV2O4+C7LmXd4rrOqrzCWrsKtAB1azjbjfZoXJBXDcMkeKpkA7pd3sm8wvNcNnpPf11FRESuA4VauVEeTQB7Fs912d/qncvz1I3h4cmC1lh2R8lzn9NYy4PjBWXd0o+7gQkXyfccTmY1SeQT+F2odRyHrWG8KksYxI8HNeRlwzTvJqWdzEr6SfBUrfHhuKComtXHo354oa9BRETkdSjUiryGybyiXu5+nszK54baomwp6xaAeVGz2USrsPkqDk9z5kVDHHnsbyYsyoaTaUngu+yNElzXwVhLUbcMe13oLKp29fhRP3xmGPXcx7uuDg7P2oRtz+zynj0WERG5TnT59wVL03TvBff9c5e5Fnk9k3nF1+9NeHiaY21XjHs2mAbe8/8cHwYuzrK613NdvBd87vPUTcusqLFY8rKhqFqOxgVNa5Y7rV3trOs4hL4HdAE1fInwHAZdSN7ohdzaTvDcpx+zvRETeC5x6LOhXVoREbmmFGov3n/4rBvTNH0L+KlLXou8ImMtx9OCpjEsipp50f0ZfqMfsjtK2BrG7L6gpMD3XN7a7bGzEXNnp/dadbWPBi5AF1YD331ih/XRcdMafM8h8Fxu7ySEgfdS5+/FAdsbMXH47N3mJPKJQo+qbpnMq1dev4iIyGVQqL14356m6c+kaTp8dEOapn8K+P+AT1/ZquSlOPBEED3bYWGQBIw+0jbsWQLfY9h7/b64rutwZ6fH9jDm9k4P3+tqgzd6ITsbMYOkq5E9HBcsyoa6NSyKlqpuz6VcoKxaZnmNsZbJoqKq249/kIiIyCVTTe3F+zHg7wE/k6bpfw/8APCPAN8H7F/huuQlOI7D7e0eUS/Cxzx3N/OiBb5H4HtnPnbZ3niyg8Oj0oiibDkajxkkAYWB2LWEweuv2/McHBwsFgcH11X3AxERuX4Uai/e38iyzKRp+jeB/xr4LeD3Z1k2veJ1yUsKA4/dzQRbNx//yVdoZyPmGw9mnM5KmrZlnjeUBlxr+fTt4WpH9+OczkrysmGQBKsd5lvbCXnZ0ot8TWITEZFrSaH24v23aZo6wHcBfxK4D3whTdO/BHw2y7K/eaWrkxujagwGi7GWprWUdcOGjUkCl8m8eirUtsbQtN3u7mReEfouUehxOuumrpV1S7IMsXHov/QudVE1jOcVoe+xOQjV11ZERC6FQu3F+xeBL9Ptzj4ESNP07wD/HvBHgG+/wrXJDVLVLb7r0DSWqml5Z2/AnVtDJpOcKPDIy4bTWYnvuWz0Ax4c5xhrGc8qRoOQObDRe9zdwHlqJtvLeXjSnTcvGwLffekdYhERkU9Cofbi/TdZln3v2RuWpQd/Nk3TX7iaJb3ZjLG0xr5Wv9irUjeG42mB6zhsb0RPtd6qm6404N7RgiBw2N0csNGPeGd/yEMH+rHPBwdzWmMo6653rlnW4OZlw0a/mxTm+y47GzF51TKIX77UYLqoWBQNyXP69YqIiFw0/Qa6eJ9/wX1/4dJWIUD3J/UHxwuMtYz6EVvDp8fCXkdHk4LxrCSvGqq65e29weq+h6c5i6LGc13u7CT0Yg/HcfBch34SrHZKXQce9S1w6GpnQ9/lzk6fMHAJfJfhcrzw8BUGr9VNy9GkACCvGraHMXnVEPoefYVcERG5JPqNc/G+mKbpT8Ez/5b7F4Hvf52TpmkaAF8EfpOuhOHHsyyrl/f9LPAbQAr8z1mW/Q+v8xw30aJoVjuU00W1NqG2NYbjSYnF8tDmAARBV7O6KOrV5wR+yM5GQmssw15A3bTL/rUu+1sJ41mF6zpMFzXDJKQ1lltbCXH0SX4UPPmtnUSehjSIiMilU6i9eP8S8Cd4dqi1vGaoBb4HuJtl2S+kafp54LuBX1re9+9nWfb1NE3/IPDngBeG2q2tHr7/co36z8Pe3vDjP+mC9Icx7uEcLAx6AXs7/Zd+7N7ekLppuXc4x1jY30roxU/Wi87zmumiIol8RoMnA7MxlruHM4qyZTSI2Nt6/tCGp9cdUbRdz9y2NQRxSBR4eGHAW7dH5EWD48A7t4aroQsn04L3703BgTujmH4S8BbdkIav352szr2z21+9jvGspKy79UXPGd7w8GSxLFkI2Rp2bcUGGwn3j+ZMFxXHi4bPvN2jF3+yYHuV3yefhNb92MGBmryIyOVRqL14P5tl2b/6rDvSNP2PP8F5PwN8sDy+t/wYgCzLvr48/OPAX/q4E52cLD7BMl7N3t7wyn/R9TxoWovbti+9lkfrPhoXTPNuqtb4dMFbu49DcWsMHzycY+l2gu9s94nCx8FwXtQcnHa7rCenc9pq8MyxtM+zOwiZ5TWLqmUxL1gAVRGwO4ppna5GeHz6+P/l3cM5/UHMwcGM2SR/omShKioenuZs9AJGscd8WrAoGh4uH+86Du/eGtIaQ1UbwsDFc13ysuHB8vvl4QG8szdY1d1OJgvuHXalHQeHMz776a1Xen1nXYfvk9ehdYuIXB2F2ov3Ky+471//BOf9GvDu8vjO8mMA0jQNl+f+z4FPPlLqhukGGbzeY89OFDt7DGAtq0ALrMocVs/ruashBv6Z0bcva9QPGfVDmtZwMu3abvUjn3leEwbeUxd1JZFPXjU8OF6wPYqIxjm7owRjLIuioR/7tMZSVA1x6GOsxRhLYwx50ZJEHnnZXVDmud2437ODF1zHeeI1uI67es2e13Vh8MIu7LuOo9ZeIiJyoRRqL95fSdN0BPx3WZZVZ+/Issw+5zEv48t09bo/ALwFfDlN05/LsuyHgP8JuAt8K7AH/LFP8DxyxkY/xHEdjLFPtL8C8L2uc8Asr4lDn+Qjdaph4LE7ijmdlYw+Qf/WRdFQVG1XZzstOZkURKHHe7eGT0wZGyQ+J0cLWmtpWsOiaGD0OHjXTcss7wLt3qbLZF7y4HjBomzZHIQcT0uOJwXbw5go7DowdJ+bUJQtgyTAdR1Opt2whmHP5/Z2j6pp2RrGBL7Dg2WpQhR43NruvXKQFxEReVkKtRfvV4ES+M/SND0E/mqWZX/3k550eVHYj37k5h9a3vdHPun55dkcx3kqzJ417IUMX3D/yaykaQ2H44LA854oT3ie6aKirFuGSUgYuBxPu04Dk3lFUXU7qVXVMsvrJ0LtLG8Y9CLadszdwzkbvRBjLUXVMuwFvH+/wPNciqrh/fszTmcFFoiCbsd3tqjJi4YjW3Brq0fgu6uA2l/W4OZlw3je7RpXs5Z3bw3x3G5Xtm5a8rKbwlbWLWXVPhX0RUREzot+w1ywLMv+/PLwy2ma3gH+VJqmPwn8OvBfZVk2vrrVyWUyyx3TR+rWEOE9cf90UeMAw17XWisvm1W7rEXR8M7+AN91aYzB8xzmec394wWbg5jNjScvTItDD9NYwsClnwRY4MODGa2xWGu7vrQe2OW6otCnqFp6sc8wCZkXNe/eGgIOW8OIg9OComowre3KGQKfhycLHhwviMMu6FprOZ113RiG/WC1Vtdx1qovsMhN8YNf+LUX3v+ln/jcJa1E5OIp1F6iLMvu0Y3I/UeBnwV+Gnj5y+9lrbmOw6gfdSNpA5feR3YtjycFs7wLhE1r2N6IsWfqcq0FLNza7jHL665OddvBdbs64dB3qZsWY8D3HZLIZ3s74vBwRhi6zPKasmoZDUIWRcOirHh40uB5Dre2e7St5c52n72tmEESMllUnEzKVb/bowdTyqpluqiZLCrmec3WRsx4VvPhYsbuKCHw3VVVsbWW2zs9yrolekbNr4iIyHlSqL1gaZq+lWXZ3WVd7fcB/wrwWeCXgZ+80sXJpdsaPn/gQ9s+DrCN6Y6TqNs1LeqWjV5Xw+q63c6p43SjcUPfpxd7BJ7Hwbigqltcx+Gt3T6DXsg7twY8PF4sd0s9TqYloe8BDmHgcDQu6ccB2xsRZd3y/v0Zt7YTdjZiFnnNw9OCg3HObFFhLMwWDZvDkHnZsDiccXCyoDEW33cpv9lye7tHGLgc1oYw8FbDHxZFQ9W0zBY1xlp2RjH9OOimkZUN/TjQSF0REXltCrUX779I0/Qu3cVavw38PPCLWZadXO2y5Doo67YbLxt5JLHP6bwkCX02l8MLHMdhZxQ/87Gbgwjfc9kaxrTG4HsO43mFxWG2qPA9h1v7G8vAGnMy62pfHQL2Rglf+Z0DTqcVxloenuaczEqqqsXzXBZFRdtaHpwseHCcUzbdLLLbm493Y7f6IQeTBXnVkFctzrLDwf3jBY7r8u5+n9+7N2Zv1COJPE5mJZN5BRY2BiEn05LAcx9PI1vW66pMQUREXodC7cX7x4C/D3xXlmV/+6oXI9dHawz3jxZYLMcTAzhEQTfi1n/JYDdIAtxlkJzlNXlZEwUeRd215Doc58sa3ZCybqlby/Yw4nRWcmu7zyzvxu7Gkcf796ccTUo8F/JqiLHdAIeyNhycdDu9VW34Jz67Txz5ZN845WTStRMLApe86MoqcCzTRcNkXlKULdsbczaHEbe2EnzPYVF0AVnhVUREzpNC7cX7t7Is+4+uehFy/bStPdNey+K6Fs/zaI1hUdSrkbZ7mwnWWg5Oux3N3VG8mhoG3W7veN611eou/nLY7ye4rkPTGgK6i9AC3yOJulrbg9OcpjG0xjBZlIR+ggGquqFqLdNZTfy2S+B5bA0i7h7OiQIHrKVqDHtbAfOiJgpcHp5WRIGL67nM84qq7rocPDxZYK1DHHhsDSOKsiUJA3Y3E6LAZ7hsCba9EZMXDb3YV9AVEZHXplB7wZ4XaNM0HQLflmXZ/37JS5Ir0hrzxIStMPDY6HVTwrZHEcZAUTUMkoDJvKZuDbQwnlXdZK+mxRjL8bTg9vbj6wsHSbCawTzsBV3N7rI8d2eUMDld8OAkp16WEEDXGeGrH5xwPCkJA4/xoqQsG4yFXuRhMZzMKmZFzXheUjWGPK+ZLbrxuAenOUfjbgpZL/IwxnI4Lijrru/t1iCmLFuS2Ke1But0wypq0xIFERvL7g4AG73whW3SXmRe1JxMSnzfZX8zeWI4hIiIvFkUaq/O54B/F/gDV70QuXgPT3MWRU3ge9zZ7iZzPZq+1Yv9VX3so1ZbD08WVF2L1246V2t5//6UedFwZ6e7iCvwu93awHf57HtbHIwLPNdhd9T9mb+qDf4y5FV1C1isdci+ccLRpORgvMDzXMbzbibI5qC7IK0X+bQWjscled2QF12JwjSvMW3BxkHIhwdzeolHP/G7Nl7TksWiwfW7SWLzvCLwPeLQ5939AY6Bbx7MuovFasPt7R6e63I8zhkNI3ZHyWt9XY/GRdcqrTJMFxWjwbMvwhMRkZtPofaKZFn2y3QdEOSG66Z5da266qalqBp6ccB4VjFZdIGyNZZbW73V7uXOKCaY17hON8XsQdXQtobA76aZzYuGzcHjEoQo9Hlnb7D6+N7RvKuhdRzms66/7KJo6Cc+41lFWTW4ONR1NxnsUb3t1iBmkAS0xnI4zjmdl0SBR142lGWN57p8eDhjcxBQ1h69KMD3oGoNrudQVi1OYMjdbohDYwyjQcj79+dUTcu9owVVbZkXFXcPFoSBx9YwJApchr0nA+mjgP8ivudSLXegPbUMExF5oynUilwwz3XwPZemNTg4qx1WYx638Dp73D3GfaL1l++5bA4jimV3AtdxqBvzVA2qMZaDkwX3jroJYnVjOJ4UJJFPa6CqLHnVUDWGOPDwYp8g9GhqgzFdEO33Au4dzgkCl7JuAQffdwgCH9eBo0mOMZZeL2B3FNNYS17UJIGLdQyO62ENFJXBOg1f+Z1DksBjUbaAoWkbvvLVI8qqC+meO6JquqEUTWsYz0ry1vLg4RTPc7m1lTxRQ3zW/lbCdFHje47agYmIvOEUakUumOM43NnpkZctUeCuguhoENIYgzGWnY1nt+16ZHsY4zoOedk+HpU7hZ2N+ImxvKezkrxuMRZOZxW3b7m0bXeRWVE23N5JuLXd43BckBddp4RvHswIPJd3bw1pGoPvufiBR2Jh1ItojCXwHeLQ4+i0AOtQNA12ZngQepjWUjaGqrH0Iw9ru9ZeXdtdw1c/mDBIApLQZVY0HE9KFnlNHPv4rsO8qDg8zfnwYM43Hk4pyoatUZ/NxGdnM2a6qNkZPR1qx7OS01mF77vc3n698gUREbk5FGpFLoHnugySJ3dVfc/l1lbvpR7/qEsAwIPjxer2Rdk8EWof2dmI8FyX3VHCw4MpFkvbuhgDs0WF68LpvOq6ILQWP/Eoa0PTGA7vTSiblt2NhPZ4Qd20JKGP53f1v8ZY2tbSOA5F0XA6q/B8l8h3aFuDwaGqWzwHjk8N1nWpqgYLzPOKsjLgWMLcoxd5fPPBhLuHU45OK4qmZasfcKtoKUYRrudQVC152bC3lRCd2bE9nVVYLHXTMs+7C9hEROTNpVArcs1ZazmdVVRNy6gfksQ++fIqsl7UXaiVly3WWo7HBQ/HOftbCe/s9fF9l9YYZnkDtmvttSgbjsZlt5tqLEnsM+qFOFgm84rxrGJzGHIyzWnadlmCAAPPw8HB9z3iyMNxXCaLmrxs8GqHXuLTi0KmeclsUdO2htZYPNcld12apqE2gAHrQGNaWmuY351irMVxuqEObdPS70WknxqRVw1F1TCdl7TG8t7tIdZamrYbNlEvp7CpFZiIiCjUilwDZd0ymVdd7ewgfOICqXnRMJ5308DKquXdW0OS8FHnA2/VWeHwtGBe1AS+y2Re4zjdmN1BHDLPG5LIp6ga9jYT8rIh8D1Gt4dEgUfTdsMf6tYwyysWRTdUwXNcLC3GWk4mFVHoE4Ye7+72+fBwwcm4pmwaTGuJAhciyEtDXrY0BhzAdwyOY2gtPJoE7FpoWqCwtLalu8bL4PsunhtgLMsRvTl51RKHPoui5fZOwuG4pG7abpraICIMPJLo2T/KmtZgrUKviMibQKFW5Bo4OMlpTHexlO85T5QUGGMpygbf8wiDLuw+utgMoCiXvb8cqJYXj51tGrC3ldAYS2sM/cSnri2e43IyL/BclyTy6ScBk3nF4cSyNYhojWV7I8Z1HeyxJQ7dZUh1iEKXo2nOJK8oqq5+1wKNtVRNg1m+jkesC3X7xE08+oxmGXKX14nhtIbJvMQcOJyMFwSBD9YuA7bD1+9NiZaBvmkNSeQ/9yKyvGx4eJJjsWwNY0YqTxARudEUakWuWFm1q/C1OYiwZxohWGuZLKpu+EHV8q3bo6ceP+yFjOclu6OYzX5I0xru7PTxly2ufM/l7b0+xthVF4Y7uz2+8tVDzPL8WNjeiJnMK4JNl6YxxIGPA5xMSpoW7uz08L0uLOalQxg0xFFXi4s15EWL6zhPhGoLWPPUkp+rbqEG7LRg5nUXqrmuyySvGfZDfu/ehM++t01rum1g13t+y695Xq8mts3zWqFWROSGU6gVuWJHk4J+z2e66ELYoPe4NVVruvrRRxdBPWti1tYwYtjrRs66z+nr6jrOKgD6Xhc6g8ClrFoC3+X2bp9e5DPsBRyeFrgOhL7D6bxiox9Qt5Z+EvBP/cO3ef/BhN/+5im/++EYay2BC/PSULcGz+nWezbIthZcBz7SteyFyhZooalL4shhd9SjLFseHC/4zFsbWNtNE5vMK97ZHbAzimmNXY0W3hx0tcezZX/g55UnnHUyLbsL75JAF53JufvBL/zaVS9B5MZTqBW5Yp7rEAUe0chjcxA9EUx9z6UX+SzKhsBzicNn/6ndf8HggbppOZ6WeE7XQcFieXiSEwceoe+xO4q5vf24C4O1cDTOmeQtSeQRhT5t0ZCELu/fm3D/ZMF0XrEx6Gp1m7bFrVwsllm5rI91WI3qDVwIQ4950T5zfS/SWJgVlqbNGc8rblU9/q/fukcvDvBcF9/36Ec+ceQzy2umi5LpomZ7GPPu7SFv7fSxllXJwvMU1eO65eNpSy/2X/g1FRGR60ehVuSK7Yy6P/u7rvPMP5Hvb/VoWoPnOh87YetZDsfFqoOB6zp4XjdUoZ8EuI7DnZ3+E59fLkfi1o0hDj3e3R9ycLrg7tGCv/+NU3ZHMXnZsDtKsKagrKEfd2UJVWMIPAfXARdwnC7bllX7yru1ZxW1oagNVT1lVjQMEp/Q99gZRdw78hjPSu6f5Dw4XjDsh/y+T8HW4nEdbVm3HE8KrIVBL6Af+3ju49B69o2Eg8NrfJlFROSKKdSKXDHfc1c9aF/0Oa/ro0HY957cCX6kNQbPdfGW08qgq9fNq5Yw9LGLhsm8wXFKotDn7Z0+b+8MqE3Dhw8XHJzmzPMK6zj0Y5eyqmmMZVa8QlHtx5iXBn+W47kR1gaMZ/C/PJxxMikoq5ZhL2B3q89bu32a5vHO8PGk4GhS8P79KdZaPn1ng8++t7UKtmHgsTtKKKqG/nIXWERE1otCrcgNt7MRczLryg82B1HX0WDUdQ8YJAHGWh4cLyjrll7ks7cVM8lrsJZ+HDDoWT48mNK2Le/sJbTWstWP2BhELMqG3cGQ3/fOFifTkt/6+jF3jxYMk4CjicPJrDz31zPODbMyZ5DUODgUZU3ddrW7VVqargAAIABJREFURV1SN5ZfzyvevzflO//AHT51a4jrOEzmJceTAtd1uXs4Z38zYf/M8ItBEjw1andRNORlQy/2X6ouV0REro5+SovccIHvsr/55BjZs+EtL5tVecJ4XjLLa0LfYZBE7GzE3D2c8/u/ZYfpogIHysrgWEttLIHfdVMoa8Onbg351P6Av/u7h5SVpawbTmfFhbym1sB43pwt3QXAGBjPK8rakJcNw16A4zhs9EN8z6NuDaZqmC5c3r83Ja8aPrU3wH3GzmzdGA5Ou64Us7zm7b2+6mxFRK4xhdo1laZpAHwR+E3g24Efz7KsXt73zwDfQVfW+H9kWfY/XtlC5doLfBfXcTDWUlWGJPFwnK4O9VG3Bdd1GA0iesvdypNZyQcHc0a9AGMMdWOom5ZvPJgR+B7zogQHBnFI25a07eOetOfpo6d8lE1ba5nkNfeP5hTvbTGZV/Qij0/fHvLweEFe1Nw9mvPgZMHdw0U30CLwaKxhexjjey7G2FVLMIvF2gt4ASIicm4UatfX9wB3syz7hTRNPw98N/BLy/v+HeA76a5B/1+BF4bara0evv/iq8PP097e8NKe6zzd5HXv7g4oqpa2NRyedrurw37I3naP4UbC8bRYXpgV4zgOv3d3zP7ukNNpSdO0lLWhti69fsR24FG2sL3Rw1qXJPEpKsPJtKBt7Gqq2EXwXXBch3A5QWyyqPi/f/cQl65zxPG0pBd7GMcFz6M2lrKx5LXhtz8c47kOgyTnn/y2O+ztRUS9kONJweYw4tZ2/2OevXOTv09e1cHB9NzPKSLyPAq16+szwAfL43vLjx8ZZlnWAqRp+rG/qU5OFue/uufY2xuu5S+6N2Hdxlhc1yF2u4vGnKZZPTYAbN1weDgD4PRkwTSvOBwXDOIAx4WisOxtxEzmJdNpAbYbnbu70edT+wPuHi347W+eMJ6WXR/aC1A14LkWlxoH+NqHYz48mLM1jOjFAa4D7TDqdpEjj9BzWeQV/8/vPOTe4aILtb2QUeLz6TtDfvfDCUXZMO4HtGW9muR2OM4pypZBL2BzEK2e/034PhERua4UatfX14B3l8d3lh8/Mk3T1KPbqZ1c9sJk/RyNC6Z5ReB73N5OiNyu5tZayzTvBhgMk2DVSWE0CHk4zhkkAXVj2B3E7G0mDHsh00VF3Rp++xsnWGvZGSX4nsO3fWabRVnTGkM9qTm/ngiPWbqRu031+LbGNlgcqqYl8H1cz2GYhAx6Pu/uDVhUhqNpwdFpzsmkxHEc7h11QfhwnHfnMIadUULge+Rlw2z5NTmdlQySQLW2IiLXgELt+voy8MU0TX8AeAv4cpqmP5dl2Q8B/zbwk3Q1tT91ZSuUtWCMZZp3KbBuWvKyZZB0Ie1kWnZjdIGmMavWY4Hvsj18vEP5zt5gFezi0MOxDnubXQh8e79PVbV8eLjAWvBcl17sUdUtrel6115ktarvgE83IrgXujh03Q/efzjl0/tDtjYiWmPZGkbEoUcQeMzymqNpQRx6FFWLg7OqJ/aWdcbWWhzn+VPcAIy1q6ltCr4iIhdLoXZNLS8K+9GP3PxDy/v+OvDXL31RspZc1yHwXOrW4PC4HnVR1ByOu5G5/rLLwSNx6DPqR+Rl89ROpes6bI9iNvohR5MCB4fDccnpvBt+cHs7YTxvqBtD27Ycz0rq5oJem9OFbD+EWV4TeA7jRc10UeHg8P8ujojCgL1RxLu3NugnAdY6TOYVh8c5G4OInY2E/c1k9RrDwGPUj/jgYEYceEzzuhtT/JFwa63l/tGCqmlxHYe3dtU9QUTkIinUigi3d3rkZUvou4SBR1E1PDzNAcvprObWdsKoHz3xmK1hxNYweupcnusy6odMFhV3dnoUVQNOn/DYxXMWeG7MRr/maFKSBDGNtYynFcZwbiUJDhD6EIUuedVStc4y0DZYY2gN1HUDDlgDs9BlllcMkwC73NU9npe0wLe+s0Hge3xwMGNRNtze7tGabtpaUTb8va8fs70R8+7+4IkOCa2xVMsBEK0xzIuajV74WlPhRETk4ynUigie665KDgCaZYuCMPDY3fR4e2/wwj+zf9T2RrdTO13UxJFPFPrsDGNas8k3H055cLxgkFhM2/Ittzd4GC3IS0NrGo6nn3zb1nOhbqFaGCzgNJbKtfh1SRR4hIGDtRB4PkHQtTAbJiGeC0XVMl4URL5PXjT8n79lSCKf40lJ6LtM5xWb/ZCD05yjSUHguRhrmRcNJQ6Tcc6trYQw8EhCn0VZczqtsLYb5nB7u6dgKyJyARRqReQp/dhnUQZUVctGP3ylQPvIg5OcerlTuTWIaA187e4YrMVYy+Yg7EoXfJedjRgHmJc1Hx7MeXCSU9UtTfua9bZON4jhzIcY25VGNK2lFwXdRWMOBJ7DqB8zXRQcTUp8zyMKXEaDiOmiZLrwOZ2WHE5y4jCgagzDXsCoH7Ioui4LAPO8whhLawzTRU0QtBhrCX2P0TDCXfb+rRtDGLxcC73WGBy6UccKwiIiL6ZQK/KG6AJXNwXs4ziO89QUspdRN4am7f403zSPU6UFxvOCum0JA49eFOL7EEcBtzZj7mz3qBqLgyHwPPa3Eh4cLziZlkwXzRO9bV0gCmDZgOA5r/Xsa+l2bgMPPLfblQ09cHBI4oDJvOaDgyllZXA9GMYBvu+RxEE3Jng5SjgvGxzX4dZ2QtsaHp7k5GWL68DGIMRal6Jsls9pOZ4Uy7XY1UJ818V/ia8/wPGk4HCcM55V7Ixibm/36cX6kS0i8jz6CSnyBijrlgfHC4y1jPrProX9xM9Rtdw/XmCx9OKAnVHMybSkqBqOJyWns5JhL6SsWm7vdFPMHLcrdSjqltZYTsYFceTjeC7DsmEyrzk7C9d3Ydjz2OiFvP8wf+L5XcD3uhDrOtC04Hldt4LAd/FchyQKmecV07zBmJaqNrTL0gFrDNRgW8toGOF7Hp99b5O9zR73j+eUVYu1Xdg0raVqDVHgMRpE1I3hzk6PRVGzmFVgoWkNvu/iug63txKMdYhC96V3vaeLmnnRULeGvGyZLCqFWjl3P/iFX3vh/V/6ic9d0kpEPjn9hBR5AyyKBrO8iGm6qC4k1OZVsxorW5QN+5sJgyTg/ftTZkVNVRsC3+Nb39lkuqhoWkPbGk6nFU1jiCOfyrTUjeXe4Zx53vW09X0HGosxEPgOxjpM5jWh313khQM7G91OKRjmeU1jwPedboRva+klHq7T7UAXVYO1gOOQ26bbwXWgdehuxxK4zupisP2tHuN5hec6HE9LvKJL2WHgYXFwHEtRNcyLhiD0CQIXnK4eOQ49enFAHAWv/PUMfZdFUTOe1/TjYNWV4nlaY7o3CipTEJE3lPrLiLwB4tDDWVZ/JtHFvJftRf5qF3KQPA5xrgPjWdnVlwYuSeixPYzxXZeyNmwOI7Y2YsLAZX+zx9GkoFzu3PbjkDhwGSQ+24OAKAzoJwG16c7reQ5R4LI3Stjf6mFxcd1uN9QCnufhuy550WJaS922tHSTx+rGYh1LGAXL0OgTRwEb/ZB+EvDufp84DGhaw+/dG/PNgxnfeDilqpvuArpRwrv7fYrSYCycTotVacfhuKCoW7aG8eprcbYzwosYY1kUDXHksTmIub2dEPru6o3Is85zeJrzzYcz7h7Oac359JDIy4ZF8fRFe9366idavImIXAfaqRV5AySRz1u7PZrWEocvd5HSqwoDj3f2BrTGrMbJAtza7jHJK3zPJVp2GujFPr14wPGkYLKoGPYCenHAP/TpkMm84mhSMZmX9CIHzx0xnpfEgcu8bJkuKoaJzywHll0LcFw8rxt2YCyEoYtpwfccqtbiYqlbMI7FxcH3LK7n0o98doYRi6qlF/sUdcuwH/GZt0fEYcDprCKJPKraUtUG33UAh8/c2eTObo/pvOLwtFyNGP6Wtzb4rd85YFHUVHV3ldtn3togL7sSDM/thlLUrVm1TzvLWsu9oznTRcVkUVGU7aqEwQL3j+aUdcsgCdgddTXPrTHMiq7A+FGpwtlOFq9jMq84nnY1wWfLVR6tr26Neu+KyLWjUCvyhgh8j+CC/8W7roPrPhnUwsDj07c3mBcNvch/IvBuDiMcx8Fay2gQ4rnuMgQ3BJ7D3mafd28PiQOP01mJ57r83d85xPXgYFxgmq4MoJ8EVLXpAmjV4jkut/ZiTicVtWm6WlTb7SJ7rovvQRz57G322NtKOBznuA4wr9kbJXieBw5UdcvX708ZJj7NMogGvsug59OLfO4ezJksSsq6YdQLwXFIQn8V9Mazkt/6+glH45xBL2BnI+Zr9yY4WKrG8C13Nhj2wtXXo2kti7LmeFpSVC1N07LXT7puFEVNWXfdJGZ5zeYgwve6XemzwzOi4JOHzKJ6vEP76Dmh671bL3dojbVUdatQKyLXhkKtiFy4/rKTwEe5jvNEfa8xljjw+Ja3Rxwceuxuxniuy95mjzD0mcxK3r01pG5a4sCnH/sYLHsbCb/z4Zi8DIgDD9/3cB2HMHTwvK5kYaMf0DaGOHKZzRs2BwEby6DpYilbw6gfcXs7wVj46jfHNKZlEAdEgYfndvW4juNQ14aTaUkcdbvPSeizv93Dcx1u7fQo6pai6kooHoVRt3CIggqss9pZ/eBgRvru1qpsw/ecVehPQh8bemz0QwZx2O1y43TDIdxu9xa6OuFHwzOiwH3iTcPrGvZC8rJdHj/+/+Z7Lr3IZ1E2BJ5LHOpXiIhcH/qJJCJPqJuW42mJ6zhsb0R47uXtxFks/SQkTGAyyRn1I/Y2E3ZGMUHg4rtd2GvaFsd1qRuD7zn4vsuD05x52VCUDba1VLYLvk7ocHu7x52dPkXV/P/t3XtwZGl53/HvufTpi1r3kWZmZ3dnDWueBQcSA47LlXU5IVCxXTHlu6FsCkxioArWJAsV8J1yLb6sgWBYB2MC9pYB2+ULkEAldjmOcWFIlk3CYsf4Bcp4sws7V93Vt3PLH6el0YxmJc1K00dH+n2qpqTT3Wr9pNHpfvrt93lfZrsJFxa7NOvBcPA2Z3ysTi1O8Si20Q39Ylvg1U5CAKwN57iurA9YWuvzlSdWePbTZ1laHdCsh+RZTp7nTLXrZIOEZ90xwyBJOHe5y4Wl7rAwrXFyukWcFNMFNqZjZFmOH1wpUG+fb1OvBSRpRqseMtasDadtFMVrP06vmr8M2zfP2K9mPeS2+TbAZvG8YX66RZJmBL6a0kTkcFFRKyJXubzS33z7OfA9ZiYaI/vexahsg1ojYqZVrBG7MQd4ohUxMXyr/txCZzNjmub042KTiPVuTJrmhHWfQZqQp0WBNjvVJE5SpifrjDUiTkw1yLKcZlSj2Qi4uNgjSWLazQjfL7YJTrOMbj8mTTLqkU8OTLRq+J7HuYUO462IsWbIzESDICimHfz9EyssL3c5MdWgP0hpRgFn59ukWU6rWWOiFZHnOVHob27icO3b977vc3p27Lq/n3otoL7HjRv269piditNORCRw0hFrYhcpeyxt/FWxNzcOBf9ojEpSTOC4Or1XSfHIgZxSprmBKGHF8PsRINur5g/2xskrHVyJqYaTDRrNKLissDzySkK1iSBW+cbnJ5pcm6hw9Jan4tLXU6fGGOsHrCY50y3a/STjMl2nUYUstob0IyC4Za3MfPTxbJlYeDTj4ulwtIs47Hzq5tNYBOtiLnpKy8MPM9jfqY18t+riMhRp6JWRK6ysWmC73lMtQ9+PdsbcWGxS3eQEPo+p2ZbmyOEzXrI7SfHOb/QoTtIaDZC5qaKZb3OLXRYWevTvCWkN0hpRAF3nB7n3OUOgyQnCDJ836ce5qx3Y7K8yeXlHrVasNkEFUUh/UFKP95Ytipnsl1jsh0S+AFZXsw1nZloMNYIubTcY2ltQNQofl9bC/BkuKNYmmVcXOoySDPytBgJnZtqaF6qiMgB0aOpiFwlDHzmnsIWuQctSTO6wykGSZbRv06nvTd8i7zTS1jvxsxNNXnW2WmiWsBXnlglTVMa9ZB6LeTMfJsnLnXwvWIHsagW0ogCzi10iNNi04Z2o8ZUu04cp8zPtLi41CXwi+Yoz/OIaiFxkvL0MxPMT7VoNWqcX+wwSFKa9ZAw8Dgx2aQW+lxa6uJ5HtPtYsrElx9f5tHzqyys9jkxXiwbtrQ24NTMwTwMb6xfq3muInJcqagVkUMp8D2iMGCQpPied925pLMTdTwPVtdjxppFV36rUUwHmGxHdHoxvX6Kx4A8h8l2BEQ012PGx2rMTzd55MuXuev2aZbX+rQaxaYKi6s91nsprUaN6Xad20+OsdZJ6Q8SmvWQdjOiNVzNIfA2mrxgarwBSVGIn5lrb+bM8pzVbkyvn+ABnUFKP04ZH4tIs2zfzXhrnQFf/uoKAHeemaC9ZZkwEZHjQkWtiBxKm93+g5Ra6F+3OSnwfU5MNOj1082dtILh6O3cZIPVyOf85S79OGV5fcB4s0ajHnJqtsWJ4Wj03HST8wvrzE4W815XOwMGacbp2Sbr3Rpfd8s4tTCkH3fo9HPIi93TNhSNYkW22ckGly+vbcvpex4np5osrPaIagEnZ5pMjkWsd2LWu3GxrFkOWV7MF96pSWtDsaFDD9/3uLzSo9Mvlgl77OIazzw7cyO/ahGRI0FFrYgcWr7n7bqtr+d5nJxustaNiWrB5u09zxuujdvl0nKxO1aeF0Xo1q1rW42Q2Ykm/TihGYUsrQ+Ik4xGVMPzPNLMY348wvNgfqqJ53HVPFjfL9bazfOcNMuKXc2ynIWV3vD71amFAWfm20y2I9I0Z6xZY6UzYJAUhfjXLnVo1ouR6CTN9jT9Y2GlV8wBTmEQX9mythbsvDrCwkqPtW5Msx5yYrKh6QoicmSoqBWRyotqATPXmZ4Q+D7tVlFARrWAVqNYJuzSUpdBnNFqBPQHKfXhsmF5Xmxje3K6mE871a7TrAeEgU+zXjSPTQxHUrMsJ8tzwsAnz3POL3ZZ6WesrXaJwoBOPyFNM+I049a5Nr7nMTF2pfGuEYWsdYvR1VpwpbBMh41luwmGu4gB3HFqnNVuDOScOdF+0q+Jk4yVzgCA9V5Mu1nb9UWDiEhV6NFMRI60uakmaVYsDVYLfb78+BJL6wPGGjV6sU89DEjznGY95ORMk8D3CXyPMPA35/M2omIe7YZuv9jAISdndqKxuWRY1CiWAINiya+ltQGNKGR6vL5tR7ViKTCPLKNoLFvukuUwvccVJ+amGqysxwS+t7kSw24C38P3PLI8x8PTerMicqSoqBWRIyPNMlY7G4VeUYSGgc+tc22yPOdrl9bJc7i01GU5HDDZinjOnTOkWbGxwdYib2M+b1TztzVyrXVjcooR1dVOMeLZ6SWs9dfpdgZ8wx3TrHZiWo2Q8WbEei+57jbBW6cxPNmGC08m8P2rthjeC9/3ODnTotNLaNYDaqGK2oPyyl/6s7IjiBx7KmpF5Mi4tNTbXAas2AHsyuiq73kEvkct9GlEIa1GyMxEnSQtRk3zPGe1MyDwPVqN2o7zeZv1kPVevPm553lEgU8nzYizlNVezOkTYyyuFnN5W9e5n24/Ic1yxhrhSOe1jnJXMhGRUVJRW0Fmdha4B/gSMO6ce9uW624DfhJ4CLgbuM8595VSgoqM2MYcU4AkybZdPzfVZLUTg+fhexD6/uY2vJeXe6wNC9WxRrFl7pMVte1mjVrgkw2nLQAkeY7v+Xi5R6cXc3K6RSMK8GBzd7ENq50Bl1eKgrfXr22uxCBy2Ow0Av2BN79ghElEdqeitpreBHzAOfewmf1nM/ugc+7c8LpF4Gecc5fMbAp4IfC+ne5serpFGI5u5GZubnxk3+sgKfdoPZXczXaDi4sdwsDn1OzYdd9ePz38GCcpge9vLp/VTXNqjYi17oC1QUbU8GjXt89VXevGpGnG7OzVS28FUcjjF9c5OdtiarzO3A4NW/lih8wvzrmo5h+K/6ObkeHixdUDv08RkSejovYQM7OTwIeuufgccGL4EeACcHbj2Dm3BqyZWQu4C7h3t++zuNg5qMi7mpsbr+QTnXKP1n5yt2tFIbu0uH5DX5fFCUtLPZbWerQaIYtLKd1On3S4/itcPcLaqofMT7euuo+zp8a5cHGVIM12zD+IU5aXO+R5sbZt2f9HVf07ERHZSkXtIeacO08x0noVM/sPwCngcWAeePSa608Dr6AoaE8Cf3ezs4ocdlmWF1vaxhkTY9G2JquxRo3WyZC5qSYXl7oAm+vZQtGEdn6xw1o3ZqIVba4xu9Vku86gO9g1S70WcNt8m5xirq+IiOyfitpq+mXgHjN7PvBJ59w5M3sp0AL+ZPjvL4C3U0xH+InSkoocEp1+Qj9OAVhe7zPZjrYVlHGSsbzeJww9Tkw2qNeuPEQurvQhh/4g5Vyvy523Tuwrj+d5qJwVETk4KmoryDn3KPDGay77nS2HzxxtIpHDr7Zlua4w8K87Qrqw2t8sfFfXY+pTVx4icyAMfaJaQJ7ndHoJK+sDJsaibfcjIiKjp6JWRI6FehRwaqY13Ens+g99Wxu/tn4ObG6Fu9IZ0IqKQnaQpDcvsIiI3BAVtSJybDSikMZwYDXNMnzP21wjNk4y4iSlP0iZmWgwdc2c2zDwmZ9u0W7WuLjUI/C9q9bBFRGRcqmoFZFj5/Jyj9XuoFj6a6ZFGPgsrvaIk4x6FOzYwNVq1Dh7avvuYCIiUi7tkSgix0qe56wOVyhI0oxuv9iBbOuuXr46uEREKkcjtSJyrHieRxQGDJIUD29zt6+ZiTrBsJqdatd3ugsRETmEVNSKyLFzaqZFp58QDVczAAh8f9vuYSIiUh2afiAix06W59S2FLQiIlJ9GqkVkWOl20+4sNglJ2dyrL5tZzEREakmFbUicqx0+wk5OQDrvVhF7T7ESUqec2xGvF/5S39WdgQR2YGKWhE5Vpr1kNVOTE7OWENLcz1Va92YS8tdAKbHG0xqZ7VjZ7ci/wNvfsGIkogUVNSKyLHSrIecmRsjy/JjM8J4M3SGS6EBdHqxiloRKZ0axUTk2AkDNYnt11gjxMMbfq4RbxEpn0ZqRUTkho01atTnAvI8pxbqBYJst9P0BE1NkJtBRa2IiFxXluckSUYY+tfdNjgM9GafiBweKmpFRGSbLM954nKHOEmJwoBTs63rFrZHiVY3EKk2vcwWEZFt4jgjTlIABklKHGclJxIR2ZlGakVEZJta6BP6PkmWEQY+tVBjIHJwtByY3AwqakVEZBvf97jlxBj9OKVeC/D9ozH1QFMMqmE//08qiI8vFbUiInJdvu/RrFfraUJFq+xnFFgjyNXm5XledgYRERERkX3RJCkRERERqTwVtSIiIiJSeSpqRURERKTyVNSKiIiISOWpqBURERGRylNRKyIiIiKVp6JWRERERCpPRa2IiIiIVJ6KWhERERGpPBW1IiLHnJlNm5lXdg6RKqnyeWNmnpnVy85x0Kq1qbdUkpl9H/AZ4D3ALPBTzrlPlpvqxpjZS4FV59zHy86yGzM7C7wQ+DBwCvjXzrmfKjfV7szsRcDPA21gBfg559yflptqd2b2ncBLgbcCfeB+59wPlJtqZ2Y2f81FPwQEwDtLiFOKqp4nUN1zZUMVzxk4GueNmb0R+EvgAWBgZh9yzj1QcqwDo6JWRmEe+GHgx4HLwBuAQ13UmtnfbDn0gEkgB86Uk+iG/Azw18A7gHuBmXLj7Nk3A3c751IzC4E3A1V4ov5nwNuBHwE+AFwqN86eOOBvgS7F3/ep4eWVeXI+AFU9T6C658qGKp4zcDTOm4vA851zzwMws9eUnOdAqaiVUegA6865RwHM7GLJefbiXuBu4D3Oua+a2cuBtORMe/Up59xvmVkTeH3ZYW5A7pzb+B2nFC8iquBvnXOfAz5nZm8AJsoOtAd3Aa8F/pdz7mPDv+/HS840alU9T6C658qGKp4zcDTOm3FgwcxuAZaB20rOc6A0p1ZGYQ14uZl90cweogIjIs65/0rx9t4PmNnrgcg598GSY+3VPzazGedcF3gQ+LayA+3RQ2b2aTP7K+BTwENlB9qjbzKz24efv5sKjOY75847534WuGRmvwLc4pz7b2XnGrGqnidQ3XNlw9Zz5l1U4JyBI3PefAp4BfAl4P8Any41zQHz8rxqL/CkisxsCvh64AnnXKVe2Q4ffO92zn247Cx7YWa3AgvOuc7GcdV+5zI6ZuYD/8A59/mys4ySzhPZj+F582zn3CNlZ5ErNFIrN52Z3QbcB7wFeNPw+NAzs9vM7AGKBrdvqUpuirle95vZJ8zs3cPjQ8/MXmRmnzGzvzKzvzSzF5adaS+qnht4BHhPVXIfFOfc4xsF7dCLSguzT2b23rIz7EcV8zvnMufcI1XMvlXV819Lc2plFF5P8fbeE8Dp4fEbS020N8o9WlVtflHuo6FbdoC9MrMA+G7gacDfAfeXm+jGVDl/lbND9fPvRkWtjMIXnXOfHX7+uJl9Y6lp9k65R6uqzS/KXVHDJZrOAo8653637Dw34G3A1yheuD4N+CcUza1VUeX8Vc4O1c+/IxW1MgptM/sIxVIic8BflJxnr5R7tB4ys09TdOeuUExXqQLlrqBh1/23AReAeTP7c+fcO0qOtVefc849uHEw7MKvkirnr3J2qH7+HalRTEbCzE5RjIj8vXPufNl59kq5RY4mM/sx59z7thy/yjn3G2Vm2iszezvwVeAcxVqptzjnqjDFCKh2/ipnh+rn340axWQknHPnnHP/0zl33sx+tOw8e6Xc5alqA4NyV8YzzOy5ZnaLmT0XuLPsQDfgTcBjFGuMPkYxH7pKqpy/ytmh+vl3pOkHUobKNGRcQ7lvoqo2MCh3Zb2b4gn+66jYz++cS4DfLzvHU1Xl/FXODtXPvxsVtTISVW3IUO6RqmoDg3JXkHPu/wGvNbPfds69ruw8IrJ/KmrYBfwTAAAEDklEQVTlpqtqQ4Zyj1xVGxiUu9pOlh1ARA6GiloZhRXn3Is3DszsVWWGuQHKPVrPMbN72dLAUHKevVJuEZFDQEWtjMIzho0YG0+eVWnIUO7RehPwPVyZ4/mucuPsmXKLiBwCKmplFKrakKHcI1TVBgblrrxKbCMtIrvTOrUyMsOGjJeVneNGKbfI0WVm8865C2XnEJH90zq1MkpVbchQbpEjSgWtyNGholZEREREKk9FrYiIiIhUnhrFZJSq2pCh3CIiT5GZvR74eeB/Ay9zzj0+vPx+4MXAG4DvAl4N/B5Fo+svAz8EfAT4QeCfA28HHgHudc6dH/GPIRWgolZG6YfLDvAUKbeIyFPknPtVM7sLmNgoaIf+B8UmIJ8APmFmrwbe4px7FHiJmdUBzzmXmNkXgP/unLtn9D+BVIWmH8jIVLUhQ7lFRPbt/cD3mtn0lsu+B/ijHb7mNcC3mtmPUIz0/vRNzCdHgIpaERERuamccw8DX2T4DpKZ3QJcds71dvia88DrgN8EPu6cWx5FVqkuFbUiIiIyCu8H/tXw85cDD+7ha84BXwBecZMyyRGiObUiAoCZnQLeBqwPL3o68FHn3ANm9mLgZ4Ep4E+BSWACeBXw7cBPABHw4865j5rZfwTuBn7FOff+0f4kInJIfRC438yeB3yjc+4Xd7qxmU1QNIt9K/DXZvajzrnfHEFOqSiN1IrIhl8A/tg592rn3KuBe4B/AeCc+0/Ax4GHnXOvcc69lGIL3ncOi9aXAHPAY8P7ugR8nwpakePLzL7bzCY3jp1zC8BHgfcCn9zDXdwHvHU47eA1wL83s1tvSlg5ElTUisiGSeCOjQPn3BeAV+5w+78B7hre9mGK5XYeNLPvAJ5wzv3fmxdVRCrgPuDZ11z2fuAbgA9vXGBmvpk9MDz8aTM7Y2YPAv8UeObw8nkgBT42fOdIZBsvz/OyM4jIIWBm3wR8DLgw/PgR59zntlz/FuAu59xLzMwD/gA455x77fD6CPgsxRPP85xzenAREZGR0UitiADgnPsscBb4SeAU8Odm9p5rbvZ8M/t14EMUncz/bst1MfAQcCfwzTc/sYiIyBUaqRURAMzsHwKf3xhhNbNnAA6Ydc4tbB2pfZKvvwd4GPgWigayf7TTcj0iIiIHSSO1IsfYNY0c/xZ4/jU3WQF2XRvSzJ4JzDvnPgO8E1gC3nqQWUVERHaiolbkeNvayPFfgPvM7NeG0w7eCXy/cy41s38JfCfwXDP7ua13YGY/BvwhxeoHDD8uAv/GzN5rZlo6UEREbjpNPxARERGRytNIrYiIiIhUnopaEREREak8FbUiIiIiUnkqakVERESk8lTUioiIiEjlqagVERERkcpTUSsiIiIilff/ASJir3/ZUbTuAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pd.plotting.scatter_matrix(rets, \n", + " alpha=0.2, \n", + " diagonal='hist', \n", + " hist_kwds={'bins': 35}, \n", + " figsize=(10, 6));\n", + "# plt.savefig('../../images/ch08/fts_11.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### OLS Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "reg = np.polyfit(rets['.SPX'], rets['.VIX'], deg=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "24c708df-1e81-48c6-b1c2-890dd52e541f" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = rets['.SPX'].rolling(window=252).corr(\n", + " rets['.VIX']).plot(figsize=(10, 6)) \n", + "ax.axhline(rets.corr().iloc[0, 1], c='r'); \n", + "# plt.savefig('../../images/ch08/fts_13.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High Frequency Data" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "# from fxcmpy import fxcmpy_tick_data_reader as tdr\n", + "# data = tdr('EURUSD', start='2018-6-25', end='2018-06-30')\n", + "# data.get_data(start='2018-6-29',\n", + "# end='2018-06-30').to_csv('../../source/fxcm_eur_usd_tick_data.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "946e1882-04bb-4809-869f-1e7dd8ad396a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.09 s, sys: 194 ms, total: 1.28 s\n", + "Wall time: 706 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "# data from FXCM Forex Capital Markets Ltd.\n", + "tick = pd.read_csv('../../source/fxcm_eur_usd_tick_data.csv',\n", + " index_col=0, parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "1fce3fb2-c664-4f77-80dc-0e4907f86dac" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 461357 entries, 2018-06-29 00:00:00.082000 to 2018-06-29 20:59:00.607000\n", + "Data columns (total 2 columns):\n", + "Bid 461357 non-null float64\n", + "Ask 461357 non-null float64\n", + "dtypes: float64(2)\n", + "memory usage: 10.6 MB\n" + ] + } + ], + "source": [ + "tick.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "tick['Mid'] = tick.mean(axis=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "b0fa9c58-2087-4f99-a7f1-efeb490bb456" + }, + "outputs": [ + { + "data": { + "image/png": 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BidAskMid
2018-06-29 00:05:001.156491.156511.156500
2018-06-29 00:10:001.156711.156721.156715
2018-06-29 00:15:001.157251.157271.157260
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2018-06-29 00:25:001.157111.157121.157115
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" + ], + "text/plain": [ + " Bid Ask Mid\n", + "2018-06-29 00:05:00 1.15649 1.15651 1.156500\n", + "2018-06-29 00:10:00 1.15671 1.15672 1.156715\n", + "2018-06-29 00:15:00 1.15725 1.15727 1.157260\n", + "2018-06-29 00:20:00 1.15720 1.15722 1.157210\n", + "2018-06-29 00:25:00 1.15711 1.15712 1.157115" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tick_resam.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "uuid": "7730056f-4ce8-4a23-853e-f5206eb86ea7" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tick_resam['Mid'].plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch08/fts_15.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch09/09_input_output.ipynb b/code/ch09/09_input_output.ipynb new file mode 100644 index 0000000..2124d56 --- /dev/null +++ b/code/ch09/09_input_output.ipynb @@ -0,0 +1,4699 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Input-Output Operations" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic I/O with Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Writing Objects to Disk" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import plt, mpl\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "uuid": "c2722e94-01ea-4f98-804f-56fe1b666770" + }, + "outputs": [], + "source": [ + "import pickle \n", + "import numpy as np\n", + "from random import gauss " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "7d03b06c-a907-4a16-913f-e6a8f9a05d51" + }, + "outputs": [], + "source": [ + "a = [gauss(1.5, 2) for i in range(1000000)] " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "d5bf9798-386b-49b8-a703-36263d9d75d4" + }, + "outputs": [], + "source": [ + "# adjust to path of your choice\n", + "path = '/Users/yves/Temp/data/' " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "4aa88b7c-3155-4311-9afc-564bf3b06225" + }, + "outputs": [], + "source": [ + "pkl_file = open(path + 'data.pkl', 'wb') " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "e2611db7-97ed-4162-9cc5-127c7cd89cbd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 34.9 ms, sys: 10.2 ms, total: 45.1 ms\n", + "Wall time: 44 ms\n" + ] + } + ], + "source": [ + "%time pickle.dump(a, pkl_file) " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "f2b0c608-c399-401b-b8fa-d44d8eca54b8" + }, + "outputs": [], + "source": [ + "pkl_file.close() " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "f401db99-56f3-49a5-9c75-772fe5d00d07" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 9002006 Dec 1 12:18 /Users/yves/Temp/data/data.pkl\r\n" + ] + } + ], + "source": [ + "ll $path* " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "8c9bd301-e980-4eb5-9021-4fde182f5eb7" + }, + "outputs": [], + "source": [ + "pkl_file = open(path + 'data.pkl', 'rb') " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "6c8c4ae7-1ece-4b7c-87bc-8457da4798b2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 35 ms, sys: 14.5 ms, total: 49.5 ms\n", + "Wall time: 48.4 ms\n" + ] + } + ], + "source": [ + "%time b = pickle.load(pkl_file) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "253951a8-ecec-4fdf-a502-86cfa1d1186d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.8443022884517591, -0.16680410794255618, 4.798921908871666]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "8bf2e00b-fa06-4524-aa51-6b295fabad00" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.8443022884517591, -0.16680410794255618, 4.798921908871666]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "90b9f136-8195-4f32-9907-1b88469ae55e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(np.array(a), np.array(b)) " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "7a6b9460-b5ac-4ab5-b083-9912f9dfcef8" + }, + "outputs": [], + "source": [ + "pkl_file = open(path + 'data.pkl', 'wb')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "uuid": "bd6b8e9a-d093-4f98-b88c-27aef388957b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 170 ms, sys: 7.04 ms, total: 177 ms\n", + "Wall time: 43.5 ms\n" + ] + } + ], + "source": [ + "%time pickle.dump(np.array(a), pkl_file) " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "d517f9d6-8176-424c-89ef-0c892f9fd61c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 190 ms, sys: 6.54 ms, total: 197 ms\n", + "Wall time: 48.4 ms\n" + ] + } + ], + "source": [ + "%time pickle.dump(np.array(a) ** 2, pkl_file) " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "5f558934-6f53-472e-9040-a5c96ee1718d" + }, + "outputs": [], + "source": [ + "pkl_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "b129b0ae-6bcc-4946-817a-ff01c155eacb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 16000322 Dec 1 12:18 /Users/yves/Temp/data/data.pkl\r\n" + ] + } + ], + "source": [ + "ll $path* " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "59d5dceb-8779-46ff-b2ae-c2e43a7d2c10" + }, + "outputs": [], + "source": [ + "pkl_file = open(path + 'data.pkl', 'rb')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "0f981d7b-0a68-412d-bb9b-a377524e0f2c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.84430229, -0.16680411, 4.79892191, 0.5757952 ])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = pickle.load(pkl_file) \n", + "x[:4]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "1a9cb2b5-a180-43f3-b2ed-20de3148b8a6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.71284635, 0.02782361, 23.02965149, 0.33154011])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y = pickle.load(pkl_file) \n", + "y[:4]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "6beb0285-c53c-4f56-ac42-62000ef75257" + }, + "outputs": [], + "source": [ + "pkl_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "df469b3f-55c4-43e8-a01d-f850f2153871" + }, + "outputs": [], + "source": [ + "pkl_file = open(path + 'data.pkl', 'wb')\n", + "pickle.dump({'x': x, 'y': y}, pkl_file) \n", + "pkl_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "e6f0219a-ceb4-481d-b033-065e122493c8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x [ 0.84430229 -0.16680411 4.79892191 0.5757952 ]\n", + "y [ 0.71284635 0.02782361 23.02965149 0.33154011]\n" + ] + } + ], + "source": [ + "pkl_file = open(path + 'data.pkl', 'rb')\n", + "data = pickle.load(pkl_file) \n", + "pkl_file.close()\n", + "for key in data.keys():\n", + " print(key, data[key][:4])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "dc3181d1-7c8c-4960-8a9a-8a4d64c58a3f" + }, + "outputs": [], + "source": [ + "!rm -f $path*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Reading and Writing Text Files" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "5124219c-e041-4b36-af62-03faea5c0df1" + }, + "outputs": [], + "source": [ + "rows = 5000 \n", + "a = np.random.standard_normal((rows, 5)).round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "uuid": "5942c6e2-877a-4c0c-acca-11390e9a02f5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.1127, 0.4671, 1.1779, 0.9264, 1.5513],\n", + " [ 0.7189, 2.4128, -0.2564, -0.5164, -1.4229],\n", + " [ 0.858 , 0.5759, -1.0789, -0.9439, 1.8605],\n", + " ...,\n", + " [ 0.3933, -0.3576, 0.4071, -0.294 , 0.882 ],\n", + " [ 0.5778, -0.4286, 0.5115, 0.7564, -0.7401],\n", + " [ 0.7476, -0.3972, 0.2264, -1.2528, 0.7145]])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "32f5b082-2fcb-4090-80ba-174cc347e519" + }, + "outputs": [], + "source": [ + "t = pd.date_range(start='2019/1/1', periods=rows, freq='H') " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "d52b1a47-3bca-4870-9829-1aef62f0952a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2019-01-01 00:00:00', '2019-01-01 01:00:00',\n", + " '2019-01-01 02:00:00', '2019-01-01 03:00:00',\n", + " '2019-01-01 04:00:00', '2019-01-01 05:00:00',\n", + " '2019-01-01 06:00:00', '2019-01-01 07:00:00',\n", + " '2019-01-01 08:00:00', '2019-01-01 09:00:00',\n", + " ...\n", + " '2019-07-27 22:00:00', '2019-07-27 23:00:00',\n", + " '2019-07-28 00:00:00', '2019-07-28 01:00:00',\n", + " '2019-07-28 02:00:00', '2019-07-28 03:00:00',\n", + " '2019-07-28 04:00:00', '2019-07-28 05:00:00',\n", + " '2019-07-28 06:00:00', '2019-07-28 07:00:00'],\n", + " dtype='datetime64[ns]', length=5000, freq='H')" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "39075f54-64cb-42c2-9798-be6638636a15" + }, + "outputs": [], + "source": [ + "csv_file = open(path + 'data.csv', 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "uuid": "3804898d-dae7-4de0-b0a1-976cd8e43cb3" + }, + "outputs": [], + "source": [ + "header = 'date,no1,no2,no3,no4,no5\\n' " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "3804898d-dae7-4de0-b0a1-976cd8e43cb3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "csv_file.write(header) " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "uuid": "00c96e45-bf91-42d8-b6c9-eb343ee537b7" + }, + "outputs": [], + "source": [ + "for t_, (no1, no2, no3, no4, no5) in zip(t, a): \n", + " s = '{},{},{},{},{},{}\\n'.format(t_, no1, no2, no3, no4, no5) \n", + " csv_file.write(s) " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "00c96e45-bf91-42d8-b6c9-eb343ee537b7" + }, + "outputs": [], + "source": [ + "csv_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "03523876-01c1-410f-aac5-55fcf8aa0604" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 284781 Dec 1 12:18 /Users/yves/Temp/data/data.csv\r\n" + ] + } + ], + "source": [ + "ll $path*" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "b290e5d3-8e56-4d53-acae-51accd08c4f7" + }, + "outputs": [], + "source": [ + "csv_file = open(path + 'data.csv', 'r') " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "7b1242f5-5892-44bd-a305-addf9daff316" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "date,no1,no2,no3,no4,no5\n", + "2019-01-01 00:00:00,-0.1127,0.4671,1.1779,0.9264,1.5513\n", + "2019-01-01 01:00:00,0.7189,2.4128,-0.2564,-0.5164,-1.4229\n", + "2019-01-01 02:00:00,0.858,0.5759,-1.0789,-0.9439,1.8605\n", + "2019-01-01 03:00:00,-0.4758,0.7426,-0.2023,-1.7239,1.8032\n" + ] + } + ], + "source": [ + "for i in range(5):\n", + " print(csv_file.readline(), end='') " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "2b2384ca-8927-49e1-8070-33ef0c21a1a9" + }, + "outputs": [], + "source": [ + "csv_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "00148061-9d3a-4459-b8b8-63c98f14194b" + }, + "outputs": [], + "source": [ + "csv_file = open(path + 'data.csv', 'r') " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "00148061-9d3a-4459-b8b8-63c98f14194b" + }, + "outputs": [], + "source": [ + "content = csv_file.readlines() " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['date,no1,no2,no3,no4,no5\\n',\n", + " '2019-01-01 00:00:00,-0.1127,0.4671,1.1779,0.9264,1.5513\\n',\n", + " '2019-01-01 01:00:00,0.7189,2.4128,-0.2564,-0.5164,-1.4229\\n',\n", + " '2019-01-01 02:00:00,0.858,0.5759,-1.0789,-0.9439,1.8605\\n',\n", + " '2019-01-01 03:00:00,-0.4758,0.7426,-0.2023,-1.7239,1.8032\\n']" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "content[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "2b2384ca-8927-49e1-8070-33ef0c21a1a9" + }, + "outputs": [], + "source": [ + "csv_file.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "uuid": "2b2384ca-8927-49e1-8070-33ef0c21a1a9" + }, + "outputs": [], + "source": [ + "import csv" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "with open(path + 'data.csv', 'r') as f:\n", + " csv_reader = csv.reader(f) \n", + " lines = [line for line in csv_reader]" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[['date', 'no1', 'no2', 'no3', 'no4', 'no5'],\n", + " ['2019-01-01 00:00:00', '-0.1127', '0.4671', '1.1779', '0.9264', '1.5513'],\n", + " ['2019-01-01 01:00:00', '0.7189', '2.4128', '-0.2564', '-0.5164', '-1.4229'],\n", + " ['2019-01-01 02:00:00', '0.858', '0.5759', '-1.0789', '-0.9439', '1.8605'],\n", + " ['2019-01-01 03:00:00', '-0.4758', '0.7426', '-0.2023', '-1.7239', '1.8032']]" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lines[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "with open(path + 'data.csv', 'r') as f:\n", + " csv_reader = csv.DictReader(f) \n", + " lines = [line for line in csv_reader]" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[OrderedDict([('date', '2019-01-01 00:00:00'),\n", + " ('no1', '-0.1127'),\n", + " ('no2', '0.4671'),\n", + " ('no3', '1.1779'),\n", + " ('no4', '0.9264'),\n", + " ('no5', '1.5513')]),\n", + " OrderedDict([('date', '2019-01-01 01:00:00'),\n", + " ('no1', '0.7189'),\n", + " ('no2', '2.4128'),\n", + " ('no3', '-0.2564'),\n", + " ('no4', '-0.5164'),\n", + " ('no5', '-1.4229')]),\n", + " OrderedDict([('date', '2019-01-01 02:00:00'),\n", + " ('no1', '0.858'),\n", + " ('no2', '0.5759'),\n", + " ('no3', '-1.0789'),\n", + " ('no4', '-0.9439'),\n", + " ('no5', '1.8605')])]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lines[:3] " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "uuid": "2b2384ca-8927-49e1-8070-33ef0c21a1a9" + }, + "outputs": [], + "source": [ + "!rm -f $path*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### SQL Databases" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "39c9650b-0430-4e66-b461-faecdb511537" + }, + "outputs": [], + "source": [ + "import sqlite3 as sq3" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "cc01fd41-a6c6-426b-b235-42c903ff6c00" + }, + "outputs": [], + "source": [ + "con = sq3.connect(path + 'numbs.db') " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "9e163352-767b-4888-a286-9a79265bb19b" + }, + "outputs": [], + "source": [ + "query = 'CREATE TABLE numbs (Date date, No1 real, No2 real)' " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "d97dad1a-10cc-43c0-a04a-a5da9b98396b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "con.execute(query) " + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "uuid": "cc2e7d31-8239-48b0-b032-f11a514d9349" + }, + "outputs": [], + "source": [ + "con.commit() " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [], + "source": [ + "q = con.execute " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('table',\n", + " 'numbs',\n", + " 'numbs',\n", + " 2,\n", + " 'CREATE TABLE numbs (Date date, No1 real, No2 real)')]" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q('SELECT * FROM sqlite_master').fetchall() " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "6d76f99f-f6bb-4aad-b386-06946366bbe6" + }, + "outputs": [], + "source": [ + "import datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "a37b7780-d824-4558-b12e-9e5dec6b3056" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "now = datetime.datetime.now()\n", + "q('INSERT INTO numbs VALUES(?, ?, ?)', (now, 0.12, 7.3)) " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(100)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "5d882442-b6fb-4788-81b8-9f7814a352ae" + }, + "outputs": [], + "source": [ + "data = np.random.standard_normal((10000, 2)).round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "58b51e61-ed1a-4c5e-999a-0f55072e5d32" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 101 ms, sys: 5.23 ms, total: 106 ms\n", + "Wall time: 107 ms\n" + ] + } + ], + "source": [ + "%%time \n", + "for row in data: \n", + " now = datetime.datetime.now()\n", + " q('INSERT INTO numbs VALUES(?, ?, ?)', (now, row[0], row[1]))\n", + "con.commit()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "667cbd3a-e001-4548-8679-10aec0d31354" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[('2018-12-01 12:18:33.161133', 0.12, 7.3),\n", + " ('2018-12-01 12:18:33.183389', -1.7498, 0.3427),\n", + " ('2018-12-01 12:18:33.183557', 1.153, -0.2524),\n", + " ('2018-12-01 12:18:33.183625', 0.9813, 0.5142)]" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q('SELECT * FROM numbs').fetchmany(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "667cbd3a-e001-4548-8679-10aec0d31354" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[('2018-12-01 12:18:33.183557', 1.153, -0.2524),\n", + " ('2018-12-01 12:18:33.183625', 0.9813, 0.5142),\n", + " ('2018-12-01 12:18:33.184241', 0.6727, -0.1044),\n", + " ('2018-12-01 12:18:33.184306', 1.619, 1.5416)]" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q('SELECT * FROM numbs WHERE no1 > 0.5').fetchmany(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "uuid": "c9217058-4cb9-49b9-b81b-a4c370fce834" + }, + "outputs": [], + "source": [ + "pointer = q('SELECT * FROM numbs') " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "uuid": "7088d1c6-aed9-457a-a84a-58b1718ad164" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('2018-12-01 12:18:33.161133', 0.12, 7.3)\n", + "('2018-12-01 12:18:33.183389', -1.7498, 0.3427)\n", + "('2018-12-01 12:18:33.183557', 1.153, -0.2524)\n" + ] + } + ], + "source": [ + "for i in range(3):\n", + " print(pointer.fetchone()) " + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('2018-12-01 12:18:33.183625', 0.9813, 0.5142),\n", + " ('2018-12-01 12:18:33.183876', 0.2212, -1.07),\n", + " ('2018-12-01 12:18:33.183957', -0.1895, 0.255)]" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rows = pointer.fetchall() \n", + "rows[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q('DROP TABLE IF EXISTS numbs') " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q('SELECT * FROM sqlite_master').fetchall() " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "uuid": "3f80d448-2ff3-4e07-80ce-d8971f367a2c" + }, + "outputs": [], + "source": [ + "con.close() " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "uuid": "3f80d448-2ff3-4e07-80ce-d8971f367a2c" + }, + "outputs": [], + "source": [ + "!rm -f $path* " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Writing and Reading Numpy Arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "uuid": "4e65636e-de0f-49d1-bd67-b63868fb3a3a" + }, + "outputs": [], + "source": [ + "dtimes = np.arange('2019-01-01 10:00:00', '2025-12-31 22:00:00',\n", + " dtype='datetime64[m]') " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "uuid": "4e65636e-de0f-49d1-bd67-b63868fb3a3a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3681360" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(dtimes)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "uuid": "d5d873f2-4ffa-4fad-a802-9c12a9e30046" + }, + "outputs": [], + "source": [ + "dty = np.dtype([('Date', 'datetime64[m]'),\n", + " ('No1', 'f'), ('No2', 'f')]) " + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "uuid": "d5d873f2-4ffa-4fad-a802-9c12a9e30046" + }, + "outputs": [], + "source": [ + "data = np.zeros(len(dtimes), dtype=dty) " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "uuid": "d8cd7ec4-a323-44db-91ba-9a8a9edde1b4" + }, + "outputs": [], + "source": [ + "data['Date'] = dtimes " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "uuid": "3f9e6dc3-23c8-46b2-b776-c5f73d22ce04" + }, + "outputs": [], + "source": [ + "a = np.random.standard_normal((len(dtimes), 2)).round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "uuid": "3f9e6dc3-23c8-46b2-b776-c5f73d22ce04" + }, + "outputs": [], + "source": [ + "data['No1'] = a[:, 0] \n", + "data['No2'] = a[:, 1] " + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "58901760" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.nbytes " + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "uuid": "d783e0e3-0238-49f0-b3cf-655012d25ff3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 390 ms, sys: 191 ms, total: 581 ms\n", + "Wall time: 214 ms\n" + ] + } + ], + "source": [ + "%time np.save(path + 'array', data) " + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "uuid": "329fb352-9724-4f9b-98e9-3d0d144c9cf9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 58901888 Dec 1 12:18 /Users/yves/Temp/data/array.npy\r\n" + ] + } + ], + "source": [ + "ll $path* " + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "uuid": "b5f60285-80a3-4caa-b528-064b5302464b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.52 ms, sys: 33 ms, total: 34.5 ms\n", + "Wall time: 32.8 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array([('2019-01-01T10:00', 1.5131, 0.6973),\n", + " ('2019-01-01T10:01', -1.722 , -0.4815),\n", + " ('2019-01-01T10:02', 0.8251, 0.3019), ...,\n", + " ('2025-12-31T21:57', 1.372 , 0.6446),\n", + " ('2025-12-31T21:58', -1.2542, 0.1612),\n", + " ('2025-12-31T21:59', -1.1997, -1.097 )],\n", + " dtype=[('Date', '" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q(query)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "uuid": "c9bd1eba-510d-4b60-89bf-88dd90e96b4f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 6.91 s, sys: 143 ms, total: 7.06 s\n", + "Wall time: 6.94 s\n" + ] + } + ], + "source": [ + "%%time\n", + "qm('INSERT INTO numbers VALUES (?, ?, ?, ?, ?)', data) \n", + "con.commit()" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "uuid": "f2331de4-877b-48fe-aac1-fd823af82b24" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 52633600 Dec 1 12:18 /Users/yves/Temp/data/numbers.db\r\n" + ] + } + ], + "source": [ + "ll $path*" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "uuid": "36c34da0-f8d8-4bf5-8241-45266a118747" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(0.4918, 1.3707, 0.137, 0.3981, -1.0059), (0.4516, 1.4445, 0.0555, -0.0397, 0.44), (0.1629, -0.8473, -0.8223, -0.4621, -0.5137)]\n", + "CPU times: user 1.4 s, sys: 103 ms, total: 1.5 s\n", + "Wall time: 1.51 s\n" + ] + } + ], + "source": [ + "%%time\n", + "temp = q('SELECT * FROM numbers').fetchall() \n", + "print(temp[:3])" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "uuid": "1ed09d3f-24a5-4936-b64c-a205182b5910" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 566 ms, sys: 66.6 ms, total: 632 ms\n", + "Wall time: 606 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "query = 'SELECT * FROM numbers WHERE No1 > 0 AND No2 < 0'\n", + "res = np.array(q(query).fetchall()).round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "uuid": "d3100151-5563-48ca-8ba6-cc9a623d03cc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " No1 No2 No3 No4 No5\n", + "2 0.1629 -0.8473 -0.8223 -0.4621 -0.5137\n", + "5 0.1893 -0.0207 -0.2104 0.9419 0.2551\n", + "8 1.4784 -0.3333 -0.7050 0.3586 -0.3937\n", + "10 0.8092 -0.9899 1.0364 -1.0453 0.0579\n", + "11 0.9065 -0.7757 -0.9267 0.7797 0.0863" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time data[(data['No1'] > 0) & (data['No2'] < 0)].head() " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "uuid": "2aa6d1e0-e157-4d5b-8a43-3fc696679511" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 161 ms, sys: 25.7 ms, total: 187 ms\n", + "Wall time: 42.9 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "q = '(No1 < -0.5 | No1 > 0.5) & (No2 < -1 | No2 > 1)' \n", + "res = data[['No1', 'No2']].query(q) " + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "uuid": 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ruY+1thRq/S4qTZsXi4DP59eYmwMg/646ul6b5gvRFy/o+Ya6E6f2KDDVC2Icw99BV60EKYXQeHIM8jpSk6eLj56TIFtm4EvP+pY4UBn9GfjiZH1KN1Dw+YlPoDgzXcv5a5M9OhaoG0IjrpIjFQykKDDVC2IcIxBBV60E2Qft3j3gwoXAryM1vPhkh1YuR5KbpVXW6uUGAgWff/AHGJw8HMkiDe3+vdD5eaLzzcqRSfSdOZ2KVXyUDsyRilDe5oRlVKfL/HJikmjtEHTlHVDLn+g7czrw60jOMQwsfHg3kfdK4nvYqVWQWWWXSutTcArPHSnBGB4C3n1X+HOnuAWwK7D3jkK7d095Ct4p9OCjL7S3elR27nNX/bYrT+1u8nY95Ko9ilTrXZo9UhI+z2sEIqpCebLVg+7jhnUl0PYA72rnFI5m27m6c6/uEX/mSUxXDKIAQL85D8zOyp+wtlqfpnP7+qnQKrXVo411qIKSruKLYFVq3oqHdhOOSEUobxF4EMWZafS99qpyQmcUzTe97g7baQLsrsip/06z78U++uBoGrBe+8beuRO9F//f2NvGJM1tEh03rtpLnyD1pvxGpIDNdeMazz3Glfc9vztOcQsWPrgVYO83yFbxAe2vSs1SQ2IVebseckSKYudWBldN6Iyi+abs7vCBN88pb0OkMQdMu3+vrW2p0hwHWrUKY/Y9FH/4du6CKMC7qjZlR5hPZqAbEQ3AsWOeT2mtG3f34mUsvf5GrVK/33en/KvaKPaubbWK6S29CMN2TWg3r5INibOLgVQXSVOrgyiab8qm7dptxqvdv4f+Yy9hcPJwrbhmW1sL+N4JvheF182rOuP+jOo3bgAnT8LRdWnQ1hpcNE2L+WxfA+rFOhubeA9OHvadWvOa8m93VSobEmcXA6kukbb590iWFff0RLQ3zYzrc21NDZKYMzzc6V2IjF9pAApPq1aBd9+tBTqS57QGF3EGto0V7MvjE1g5Mil8nuzcpXoDy1IL2cVAqkuksdWBvadUb29il0pK1YYbT0p+hfqIYqNx7LCTWoML2fRXFBPkxvW5puBn+eQpYQkWAJsCpiA3sGxInF1MNo9QmpPr0tTqIGwjUCb4ZpsDYOHWYuzvw/IH2aWSlO4UCoDjNJUHkCVqh22q3Koyth8rR1+QliaQnZuqQ8PQ724+v9qlEu78NP6FF52U5uthGEw2p8jn34sz0xj+zBi2PziI7Q8OYvjTY8rThEFGxxpHoAa+9GyofSWKHEekYqHyV9UqlU2jO7JpsaqkNEtQxtUrniNLsnOaJgiigGDlICj9GEh1iSjn3927LzcRWwNg3JjD4ORh9B97yTcfQHV1SuuwuMapvGwrxJPT1hE5XFWZVf3fOC6dFls+rl5nylOPuFWNe/PHlXXdjYFUl4hy/t0rsbPv7JRvPoB0FKxSaQq+unllVC7ZlU7vQWTsfQ91ehdonTu601oGYeC5Z9B35jRWjkzWznvtvInkJs6YfQ/FmWn5OU1y8xDVSBmlAwOpHFBdFRK01pNM0Luv1ik72eiYuyzZDb6Mq/nOIeg6ETSgTYvVg492eheogVutXJTc3Xd2Ctq9e4Gr0buLYAD5lKMGYHDysPTz8NEXxDmdkY2UeUhTuZu8y8+ZrUu1Jjm6gcgiENtqD3vvaKA+dK2BV3l8AouAZ9XwvtdeBXp7uTIvT9baq++VJlu+/390ehdonQbUy5X0XvqR8Dmq/fiaFApwBrYC8H9t7+VLtR6d6xXWqzt3AQAe+Muz9RZa+s15pa4PUejEdaGbcdVehDqxSiGptgKNzTSru3bDCFCl2h4pwRncKlztsn3XtlrdmBbuB4QpvfnBVXsUJ6e4BaisSVu4ALURJmdwm1Lbp8rYfhjWFc/t1d+7YfVz2FXJUUpDuxmu2qPMSKKtQOtwuRtEVYeHN+pAjZSkheqM63PyvClJUU03iZ2ISOnOu/wrwCfo0efmAMeBM+RfHHbl6AvKq5obn5eGmn1sN5MsBlIZl0RbAenS3uVlLE2dw8KtRdx5ZxbLJ0+h/PgTcDStFmBpGqr9HxNv0z2prK5Gtp9E1L1Ubr7cPExRbadG1aHh2gi8pA1Vq8bVz35BTBK5S2w3kywGUhmXRFsB2YlBK5ebRpf6j71Ub7irodaIV1/+pec27dGxyPaTiPIp6dFp/e6dej8+GVlHBq8gJqlWXWw3kywGUhmXRFsBv7sYd3Tpge+9GXibXP1EmZSnmlgUigbAmJtD4Sc/bhphkp3T3MroIlFP+7HdTLKYbB6hqJPrGhO8W5O0k+TXmsVNtAySgGvvKWH5ayfQd+a08gpAp7gFHz39eTYUzigmm1O3WDkyid7LlzbO3esr9aStunQDtjna8XN9lLop2ZzlD1Kq08tXNwVxRybxwPfeFFYXr49YFYvK5QrcSuiBIuq1NRR/8FaQVxARJa738iXh6jhZ6RitatcfZ6mC7OHUXkp1cuWHrKjdR09/Qfj81UcOAoD0514C3dX39EAPUHaBiKgTZHmlstwlkSRX+VF7GEilVJLLV1tXkfS/clz4vN7Ll4QlDvrOTqE4M43K7/xu5PvWpPyreLdPRJnkpKyJdGNeaeP5tallzXrukmzfWaogOxhIpVRSy1dFo0+yKsDG1SvSysF9r70ae2881pYiIhEtZU2k3dVxstH9laMv1Ft1yVYuJ1WqIM2tZNK8b42YI5VSK8+/KEzwjnr5aqDgR9flI2Wz70W0R0RE2eMAtTzRtbX6edUvRaPvzGlpT1E3ZSJOnc7F9ZLmfWvFVXsRimXV3nrvprh6NMlWkcjYI6VA7WGIXFy1R93G0TThaJkD/9F1e6SEO+/E27g9zlYy7X4P09DmphFbxASUluHE8vgE7l68XB8CjiMKDzp8rK2sRL4PRERZFnRkQCUIN67PxX7tSXMrmTTvWysGUi2SqjybFkFWkQCA5tNagYiIatrN3Ypj5V7jQAEK4uyeNLSSyVKbGwZSLdLQcDJJ5fEJrByZhFMs1vrjFYuoKjT0JCKimrimeY2rar3+VLUOFIjqAgLpaCWTpTY3DKRaZGk4MQrFmWn0nZ2CVi7XVsWVy54NPasjpeR2joiom/VE24qo/4S4tI1T3JK6VjJZanPDQKpFW8OJFy6kIrdKhTu8O+DR+qWVPVLC8vET0p87SF89FyKiqDkInhfltz2h8q8iu54UZ6blC4XsSqy5uGElkSccBQZSLcIOJxZnpoGnnspEblXT8G6A17lBlOxLryF99VyIiKIWVU07B4BjGNJtaUBk1xOvUjdpzDvKEgZSLcIOJyadW9XOysKwhTMLP/kxBicPc9k3EVEE3EBJlXs9CXP+90pPSWPeUZawjlREpF29CwUs3FBf6bapWbCgC3hroTKX6vxx0NpRLqdYlCYnEvlhHSmi9jiFApZefyPU+V9WlymuelVJfA+TxDpSCYhiqaZq6YWgo1+tdy/VnbuFz/Od92cQRUTUMfbe0dCzH7K0Fa+8V1LDQCoiUSzVVP2CqKwsrAdPO7cq99Lznfc3DK+fEhFRjFaOvuDZpstrms8vbSUthaiziFN7Edrx9luofONfhW7pojo96Fc6Xzb1J6LSqoAoCpzao27lGAZQrQZajGOXSnAGt226nsjO/42ClgloN11EhFN7FM6hQ20t1ZRNubVOD/qNfoVNJvfCIp1EROFoth14RbN+40Ph9WT14KO+r/Wa5hONPHVbIeqoievDB2Ca5qcAfBPATwGUAPzCsixOugZUnJmWTrmtPnIQQ489DOPa1Vqwpa3Xa+rtBdYqsEf31e9WijPTMHzuVoJwCj2o7twJnY2KiYgSo1VtFGemm27I3QLKfmTTf60jT24erqOLx1SirqyeV1GMSA0DuGBZ1inLso4COGSa5m9HsN2uIrsjqA4Po+/sVD3HybgxB+P6HDTHqVUjr9pNQVTg8gQF78q5WmWt9n5BtklERG0b+NKzTblK/a+IK5O3ki1yks5WSCqou8Gcn27Pr2p7RMqyrJ+0PKQDWG53u91Gdgeh3fEvnTAweRh9Z05Du38/+BtXq1icOof+bxyHPtcw6lTogTMw4NkuhoiI4qOVyxicPAw3s1A2a9FKtshJWktqbU26rb7XXvVMU5GNcmHwAeCJJ5X2N+siTTY3TXMcwGfXR6akKhXbKRS4AqzJgQPAu+925n1ffhl46qnk35u6T14q37MVEiXpwIHad0d2jdiyBahUgLEx4LHHgIsXgdnZ2r+PHQMOHdrYjmgb7uOi72eh4BloeW7zZz/z/dUyRPqljyyQMk3zcQDjAJ63LKvq9dzcrtprY5WCbNWEvaekfBci42iaNNFxceoc+s6c9l0FQtQurtojCscpFADHkRZSdlfX+a2+8/q57DrgrgaXkRZ4LhRwO0Ax6rSLfdWeaZpPAvhHAI4C2GWa5sNRbLebyGp8LH+t/bx9WRBVfvwJlMcnPFsHEBFRZ9l7R6V5T06hBwPPPYOhxx5G/wlxDpW7+s6rllTYWojSotNjY56vy5MoVu39NoC/AvC3AH4IoB/A6wD+pt1td5vy+IRwLnoRtS9CbdXeLkAD9DlxAni1vx/a8rLS3bJx8yaA2heBI1JEROlkXHkf1d0jwp9pldq0m9c5vPFmWXadKY9PNF1rVGshrjz/orhu4csve74uT1iQM0JJFiALUnRTxi30GcW2iPxwao+ofXapBH1+HjAM5d6nrdNzKj1dgyjOTG8KwAb/+A9ZkJM6R2UpqTtEa4+UQr+POyTrbotFN4mIUs5BrdPF6qrySxqn51R7ugZRHp8QFg/tlrIIDKRSJsiHvDw+AWdwa+j3cr9c7t2JxlIHRESppl+fw/Cnx6S5r06hUGsvI+inBwRveh/ahQuRB2xpxUAqZYJ+yIMmijtA/csFAMOfHtv4sAfaEhERxcFZ/09Eg3c9Ka1SgTE3h6XX3xCODsk6X0S+6OjkSeHDeWw7w0AqZaSdvSWPS1dMSN/AgDH7HgYmD2Nw8nDbpRWIiChaGtpvJu8GLMWZaaUbZtVrifJ03eys8OE8rhLPXSCV9TlZ2YdZ9rhsyaqMZtuRfEmJiCi9jGtX66kiKjfMq48c9H1OoPwqSfmDwDf/GZCrQCqOJLqkhanlYe8pSYeBneIWOIVCraAbERF1BXvvqLy3nkDv5Uu+zwmUenLsmPC5fnWpsihXgVRiSXQxEhVMWzkyib4zpzeNsjXebchGmJa+893aCo9KJblfgoiIOmr1kYOBptGM2fd8Bx0CpZ4cOiQt/pk3uRqmCJpflGqOU2sJcO8e+s5O1R92R9kW4dHJ293E+nMKP/lxvPtKREQdU378CRR/+HbTY31npwK1GNMADE4ehn3iOPT5D4X1pWTFm2XTdbLin3mTqxGpoPlFIp3OsWqdnpR9CdziZ1401AKvvrNTzIkiIsoZp6cHi1PnYMzPi58Q4gpvXJ9rSo35uPlJDH96rNZT7/594Wvimq7r9PVYVa4CqbC9glxpyLFSndM2Zt9DdefumPeGiIjSqvrgTs9+qfrcHFaOTEpzaFXod+/U0kcabuy96lRFJQ3XY1W5CqS8GjKqSEOOleo0pF8tESIiyjf9wxsYeuxhwLaFP9eAptSQqDiD2zZVMQ/Kb7QpDddjVbkKpAB5qXqR1gNpWFeEz4sjx0r2IQq6NNQulWqBY+R7SEREaaZVq2rFlLVokzuM2ffamm5TGW3KUs5z7gIpVaIDqVWrwudGXffC60MUtC6UPj9fa0ZpGJHuIxERkYgGtDXdpjLaFEXOc1K6NpAKUl+jteFj2OQ397UDk4fF+/Taq4GbEdt7R2v7wDpRREQkYhRQfvyJWl1B1OoLyprUO4WewJsPOt2mMtqkkvOclmT0rg2kZAfS0XVpjlU7yW9Nr5Xt09WNqUVncCscXYdTLMLxGJY11vdBK5d994GIiLqPVllD8Ydv1+oK3lrEwge3sPbpzwif6wwMyIMsyfaDTrepjDb55TynKRm9awMp6YEcHcPK0Rdg/6YJw7qCvjOn6wcmaPJbY7Q88KVnffdJq9r4uPnJjQ9HtQqtXJZ2+Qbg+TMiIiJX32uv1nrvfWZsU90pl373DvS7d4Q/q0pmSqo7dwUaGVJdYe87mtdHAAAgAElEQVSV85ymZHTN6cCF+PbtpY5f/d1ottXKkUnhKofFqXMYeO4ZaILVEU6hgIUbd7BjxwBu317y3D5Rt3IALNxajP19Gr+Hcdn+4CBrs1HmOJoOzRHnAovYIyXoN+drxTnXgxzl69r587j9xJPSHxdnpuv1EN3tB1kBuH33kOf1OGo7dgxIv/Jdm1hTHp+oVQdvOZBeUW6Qqq5BcrCIiIjiFiSIAgBn6zYsvDPb9FjrdVO7fw/GdUEpnm99C/AIpNqteh60ynqcunZESsYryl16/Q1hNO7O2zbeCfOOlagZR6SIskVldEd2zUShgNsxjAy5ZLM+cRUI9RqR6tocKRlZNFvduStYwU9JgrjT8B8REVFaudfDer7vzq3Y/ms7sH3XtnoulHQEaGws1n1rtwB3lDgi1cIrt8nvIHFEikiOI1JE6VQtFqELVn6vHJlE8QdviafuGp4jrJ7ukyOVNRyRCqA8PiGt4RRoNUCxGNEeERERxUcvl9frSxXh6AYqY/vrAZJXEAUAvZcvCUeGcOhQ5PuZlrpRrbo22dyLPv+h8PEgtTI+evoLSj2O3KG5uO9unQTeg4iIskkDgPVRKa+FV62Ma1fbThxX0Tpb5NaNWgQ6Mp3XiCNSAlGUpl8+earWddutJCt7YnELlqbOBd7HoBhEERGRioHJwzAEK+JEklol1//KcfHjJ8SPJ4mBlIBqsTA/yydPYeGDW7W8EF3yp15bqyfNOZLpwNQmlBERUe5oUL/5DnpdDEu/IZ5i1H2mHpPAQEogjtUAtrlP/Pjovvp7Ln3n3wqf89GRydDvS0REFIeVI5Mdn1ZLA+ZISUQ957vy/IviSuoN0bysSGh5fAKV3/nd+uOoVDhVR0REsXMAoFBAdecuQAP0+flQlcjbVR0pCRPfqyXx4rAksfxBhPyWXbdbEt819NjDwoquRGnG8gdE6hzdAJxqW/1UHU0DHAcoboHT1yftoeelMrYfdy9eDvy6qL+HSRfgbMXyBynh1YAxCFkOFxERZZuD2pTZwvxdLNy8vynNxN6jPgKz9Bf/CxZuLWLhg1v45Z99O9T+JJUD5SdNBThbMZDKoKYPlCSJ3RH8Vx0exuLUOSxOnYNdKm1+Tk8PqkPDcAqF2v/29DQ/ruu1VYi6gerwMJzC+s+LW7A29hAcwxC+r+r+BaX6HpQOsvpsWZTESltSE+V5JNB/mrbx/w0D1f5+//PuSKnpcZGlqXNYPnmq/u/WG/Dlr50Qvm7lyKRnkCEKRFpf47eNTotqMCJqnNqLUBJTCiJRTRnGRXX/ijPT6D9xvGkVRnWkhOXjtROH1za83qP/2Et44M1zQGWt9mTDAGy71san5fOvoflkXB0pofz7T6L4f78FfU68OsTRNLXhd8H7NW1n/cSq3YmvP1Wn2CMl3G1pfhqXpL6HxZlpfOzZI9CqwRrBZo6uA+u/ozM8DDiApjJFtN4mqzoyAjiAfnMjtwYA+r9xvPk71dMDVCpAbxHa2iqcnl5gbRXV3Xug3bsLbXm5Yds67H1jwnNJ/Vxw9Uptm6tlwChsfP8LPUDVhj0qfn2Swp67037OBzp3PYyL19QeA6kI5e2D0414DLOPxzD7eAyzL2/HkDlSRERERDFgIEVEREQUEgMpIiIiopAYSBERERGFxECKiIiIKCQGUkREREQhMZAiIiIiComBFBEREVFIDKSIiIiIQmIgRURERBQSAykiIiKikBhIEREREYXEQIqIiIgoJAZSRERERCExkCIiIiIKiYEUERERUUgMpIiIiIhCYiBFREREFBIDKSIiIqKQGEgRERERhcRAioiIiCgkBlJEREREITGQIiIiIgqpEMVGTNP8PQD/BMAtAI5lWa9EsV0iIiKiNGt7RMo0zT4AfwHgX1iW9XUAB0zTfKLd7RIRERGlXRRTew8D+K+WZZXX/30JwJMRbJeIiIgo1aKY2nsQwFLDvxfXH5MaGupDoWBE8Nbps2PHQKd3gdrEY5h9PIbZx2OYfd1yDKMIpG4BaPxrDa4/JnX37koEb5s+O3YM4PbtJf8nUmrxGGYfj2H28RhmX96OoVdQGMXU3t8A+HXTNIvr/z4I4K0ItktERESUam0HUpZlrQB4FsB3TNP8JoD/aFnW223vGREREVHKRVL+wLKs/wDgP0SxLSIiIqKsYEFOIiIiopAYSBERERGFxECKiIiIKCQGUkREREQhMZAiIiIiComBFBEREVFIDKSIiIiIQmIgRURERBQSAykiIiKikBhIEREREYXEQIqIiIgoJAZSRERERCExkCIiIiIKiYEUERERUUgMpIiIiIhCYiBFREREFBIDKSIiIqKQGEgRERERhcRAioiIiCgkBlJEREREITGQIiIiIgqJgRQRERFRSAykiIiIiEJiIEVEREQUUqHTO0DRKs5Mo+/MaRjXrsLeO4qV519EeXyi7ddGtd3qzt2ABugf3gB6eoDVVdijY/Xt9R97CQ98702gXBZuyxkaBgBod+8AAKojJZR//0kUf/AW9Otzm1+gaYDjKO2na3ugZ5MKe6SEu+/Mdno3IjX0mTEYos8cRULle+j09wO9xfr5oK5YROVTv4HCtWtAZa35NUPD+OWffRuFn/wYD7x5rv7z1m1V95Sw/LUTTee51vPg6sFH0XvpR8r/DnLepOzQnIAXmSjcvr2U/JsmYMeOAdy+vRTqte0EKo3bGJw8vOnxarEIzQ1MDAPO4FZoi/ebv+jWFWjV6qbXLk6dQ/HC/47iD9/evN2hYWiL91HdtRtwAP2G+KKiKe6/E+C5lD2VhIKpdr6HqoY+M4YCg6iu0HixiuL8tOniV+iBY+gb52gATv/H4GzdBv3mh03Xg6ab0l27oa2s1AM/p78fWnm1Fhi6geR/+c+1m9JiER89/QUsnzwVwW+gJonvYZJ27BiQHn4GUhHa8fZbqJz4pnIwVP9SXJ2FJjgOi1PnAMBzlKj/xPGmkZioAxEGNxQVB8DCrcXY3yeJE/j2Bwf5vaBErRyZRN/Zqba3IQqm2r2RF71+8I//kIFUnLIeSIk+NACEo0GLU+eEH0jZ6FEje6QknDpYOTKJyu/8ru/ridKEgRRReFHc1DrFLVj44FbTY7Jrkeza1Up6LTt/HrefeDL0vqYNA6kIyT40sg+5A8De91A92HIDMBQKTUO5Il5fnGp/P/Tl5SC7TtRRDKSIOssBsNQSIA099jAKV97f9NzK2H7cvXgZgPeIlez1OHAAt/+fH8Xye3QCA6kIDSeYYMppNcoTBlJE6eAUCkClAhSLwOqqMLXEKRSwcOOO74jV9t1D0Gx785sUCrh9487mxzPKK5Bi+YMAijPTia7SqY6UEnsvIiLqDlqlAg2AVi4LgygAQKWCocceRv+J48If9732KgDA3jsqfv3YWAR7mg0MpALoO3M69vdwdAOVsf1YnDqH5eMnYn8/IiKiVhqAwpX3pYMHxrWrAFBPW9nk5Zdj2rP0YR2pANwPjp+wU3KiFRUrP/lx2ys1iIiIZBwA9th+GLPvKV+73JGo8vgEFlEboarnUB19AYOHDgE5WrXnhSNSAUiHMFt8dGQy1PZ7L1/a9NjyyVOw93CKj4iIYlLcUkssNwzll2j37qE4Mw2gFkzdvXgZCzfu4O7Fy11XdJSBVACyIUy7VKol7x04UJuSO3kKK5Jgyi6VNhdkW2fMvlf/YDZa/hqn+IiIKB4fPf15AOqDBQBg3JjD4ORh4TWr2zCQUuQu/3R0HU6xCEfX67lMd346i4Ubd4Cf/aweiS+fPIXFqXOojO2HUyg0Pdfe95DwPTRA+MEsj09gcepcPQjL7JJHIiLqKEc34BS31K4lxS1NKSXSfCcPbtJ51Ioz0xh67GFs3z2EocceTnXAxhwpBZuWf67Xf1o5+oLnEGZ5fEL485XnX/Qsptn32qvC1xlzbElBRETtaS3KCTQPFqCnByiXlfKlVHOHg2i95hauvI/BycNYBFI5bcgRKQWy1XphI3F3hEk6xSf4YCaxYpCIiPLNHt236TE3cClceR9atVori6C6vQDTgaqivubGjYGUAlnE3U4kXh6fkE7xiT6Yfu/F6T4iIvKz+sjBTY/JAhe7VII94p1SsnL0heh2bl0c19w4MZBSIIu4243EZfPRog+m33uxyjIREfkRrQ6XBSj63ByM63O14p0Nj9fyq4pYOTIZy1RbXNfcuDCQUhAk4AnCneJrTUiX5VURERE1CjobIQqaZAGK7AbdrYred3YqcBK4ShJ5XNfcuDCQUhAk4AmzbZX6G037oBtwNI5BERF1Kwe1fncLtxYbrg3+l3RR0LR68NHQ+xEkb6kpF8u260nkspXqcVxz48CmxRFKollqvQv3lfc5nUeZwqbFRNGpjO2vFdFsUZyZxsDkYennUxSQDD32MApX3g+1H25z41ai76HsfWS/S5qwaXGMGocpceBArLUumqL52N6FiIjSTjbNVR6fQFXSDcPRdQw898ymKbV2kriru3YpPzdrSeSqGEi1oXWYEu++61npNUiBMdFzWQKBiIj8aB+tiB+vVoVTan5J3F4dOYIkaWUtiVwVA6k2BKl1oTo37PVc4+ps5L8DERFlz8A/+yP0H3tp0+PFmWnodzdPtYm41ypp+7ORUr0jh6wPn35zXnGPs5dEroqVzdsQZJjSK+hqna+Wjjz19tarqjeyR0pwtm6rd942rs5Cq1Z99p6IiLJKcxz0nZ2C8V/+M4z5+fr5X1u8r7wN9+a8PD6BRdSuR+52Wjt32HtHhflNQUaTVN4ni5hs3oYgiXPbd26FJvhbixL1tu8eqk0Vtj5XN6BVNz/emjzYTuIgUVyYbE6ULg4Ae99DWHn+Rd9gZlOrtHWy1XRJfA+TxGTzmKgOUxZnpoVBFCCO5qXzyKP7mpa5us2T+86cbpoiZM0pIiLyowGeaSaNslaSIEkckWpTcWa6PkypjY1h8YvPB1paKvog+kX+Xj8HalODhnWlNqe9tsY7Z0oFjkgRpZdT6AGcam26TWGEyk83jUgxkIqQ7IPjNVW3MH9XuK3GAK11HlkWmDlgqxhKLwZSRMmo583Ovhf6c9ruaFM3BVKc2kuA11SdjFfFc1mSO0/sRERU/v0ncffiZdj7Hgq9jdbV50HK93QbBlIJiHrJZ9ZrbhARUXu8pnXcHnjt5Ms23rAHKd/TjRhIJSDqJL00JJN7FmgjIqJY+c1AuKV1Wq89K0cmlbbfeMMepGZiN2IdqRjU++G5+U3riXtRrW4oj0/APnEcxvW5SLbXyi/Xam3sIXx09EX0x7gPRETdwgFQ3VOCcSO686k7oiS79jzwvTdrdQkLPdAqa5t+3jhjktfWLlHhiFTEkhoC1ec/jHR7TSQVbOvvff9+rdI6gygiorZpAPSb0Z7TZSkgxZlp9J2dglYuQwPqQZQ9UpLOmEjTSQyD03toM5AyTfPPTdP8V6Zpvmya5gXTNNW7F+aUbAi0/8TxSBP14syTWv37n8Xi1Dnp1J3OAIqIKFLuym7HMODoOipj+1EdGg69PVkOruwa5WzdJlzcBMjTSbRymblSaH9EatmyrK9YlvUtAO8A+EoE+5Rp0iHQ63ORjlLFmSdV/OHbAIDqiLiDOFcHEhHFQ7NtaNUq9A9vKPfMa7VyZFJYn3DosYdhSGoaek3TublWTrEo/Hm350q1FUhZlvWnLdv6ZXu7k31BRora+fCJkgijTP7u/wbzn4iIOkU1iHI0rd7lwp2WWz55CkBDyYKdWzdSTmQbMgzPGZPy+ARQqYhf2uW5Ur4FOU3T/GsAOwU/Om5Z1r9bf842ADMAPmdZlu/Rr1Rsp1DwzsPJrAsXgKeeUntuoQCsbU7yC+3AAeDdd6PbHlHUOlAAOBYax2Wpg3QdEDWmP38eOHSo9v+DXItEGrflkl1jDhwAfvaz8O+VDfFVNjdNcyuAfwvgK5Zl/VzlNXmvbN5alVy7f084uiNqbtwOWeuYav/HoC3/klNy1FGsbE4UDUey0q7xmqLSvN4BgGIRWrnsuS1XkMbFrGyuyDTN7QBeB/CSZVk/N03zc+1sLy9aq5IvHz8hfF7Ygpxe79s63bc29hB0BlFERLkhCqKA5ik2lek2e2x/oOk6lZqI7nQiCoWuqYDe1oiUaZo/Ra0WlTudt2RZ1j/2e13eR6REvHrnhSGrVdX6HNHdgwj79FHcOCJFFK/AI1K6DvT0KI9I+QkyYpU1bFqckKSGMmUfVntPCfrND+uBVd+Z075fJBcDKYobAykif06hB6hWoVU3N7r30xiwyK4TjqZBU7juhwl+ZMFb1GksncCmxRmh2hRSVgfEuDHXVF7BsK6ov3mBRe6JiDquasM2R7FyZBLVYe86Uk5xS1Prl74zp+vXDwDCaTh7dMx3W2FHkLq1AjpHpCLUzp1wkCHR7buH6sXbvDiSJMJGdqmE5a+ewMDkYd87bEc3Qt0lEQEckaLuJhsJch8RfZ5sn7Yx7vVBOksxUoI+/2FT+ofs+uEUCli4Ea5ulYsjUhQblZGmIE0hlWtVra76PsUZ3AZAbVqPQRQRUUia+HKrQX7+1T2CqMaim9JZiutzm4pAy64fUXTLkBWKjnphVdowkIqZau+9IEOiylXNfXrmuduXfQnDcIBIC4MSEeWBPbqvNrUm6RgRaFulUr3oJgAYV2eVXtf32quxBjuNq/rQ5jRhljCQipnqSFOQu4SmJai6R7AkWdbaqLpzl7RlQBhed1dERN1q9ZGDKI9PwBncqvyaakkcdC1/daOkTnFmWil5HKjdOKuUMGiHW/4Ha2vCvn15xBypCIlyM1Tno8MuG1VZ4kqUBsyRom63OHUOA889o5TjCtTyqqp7RgAA+s15YemcINeAJHOVWJCTIqM60hT2LiHMaghHN1AZ2x/JEDMREanpe+1Vz1wku1RqmmXQHAfG9TkY1+ew9PobwhGeINeAvOcqdQoDqZgFmY9urYiuMiQaNEHQ0Q0szN/F3YuXoX94Q/ycQFskIiIVxrWr8mvCkUnc+eksbFN8Tpc1uZferI+UQk3fqZbhoQ0sHhSz8vgEFoFIq5o3Wnn+ReXq5UAt4bGupwcQlUfQtPw0lyUiSgl776jvNSFoLSbZNWD5+InA15nWFBN3cdQi0BW5TmExRypCnZoTLs5MK9WBAppzrrbv3Cqta8L8D4oac6So24lGhVrbfWmL9wM3uY+qBVmUdaCYI0WZUh6fAIpF4c8cTZMO7coq3Mq2BdSq364cmWxrf4mIuoVbEsbeszknVVQeRxREAYB27550mi1MWohIt1YmbxcDqZz46OkviB//oz+Wfrlkc/WybQHA0ne+i+WTpyIJphyw7hQR5ZtbEsa4MYfBycMY/sxYPSCSlcdxsN5zr4H7+jhzliIt1nnhQtfkWjGQSol2E/zc4MYpbql9CddHjhqLtrWSrRRcPnmqXjiufjdVKjWNaC2fPNX2qj8NrDtFROkVx02ecX0jIJKN9GgAtMqa8GeypPMoRFWsszgzDTz1lG8h6rxgjlSEws4Jh60hpbLdxrl3t9dSVFR7/hEBzJGifAqbU1oZ2w84TuA6gFH0xPMSRb5VHnvueeVIMZCKUNgTeBwfuriCs0YsBkpBMJCirJI1HG5rm4UCll5/I9CqayAbwUicjZE7hcnmKRdHgl+QJshhKff8IyLKMknD4Wp/f+hN1kshuOkViq/LQlHNOBsjpxEDqRSI40OXxOoLUY6VaGUKEVHaBBlfskf3CRfY6MvL8u1rGuxSCdWhYeHPjauzGHrsYQDA3YuXsTR1TvzepVIsPfHiFGdj5DRiIJUCcXzo2gnOgiS+ty671W9+GHqfgdpKFUfnx5KIYtbT4/+cdauPHETvpR8pP98BgN5e6DduoLprN1aOTK43md84t2nValMStmzxz52fzrZd1iBp5fEJ4Pz52Bojpw1zpCLUTm5GVAXVGrcXJkeq3dwqWd6UPVKCfn3ON6/EfZ/izDT6v3Ecxpy4pgplD3OkKA7V4WFod2p5N0GOSXVoGPpdtXydyth+GNaVthbXuKucgxbbzCoW5KTERVVQrXF7YZoge+VWqYxUyUbXvIIoB7WTTOP+lccn4Axs9dxXIiLtzh3Y+x5CNUA5lpUjk9AW7ys/373BFbFLJaUcJ7f5sGz7lF3stZcz7ZY8kOZWXb2i1IOpqY/UlffrK1287hSXJAGebF/YwoY6jv0oU0MDAq8e7r18CfbeUeXXVXftkve0+2qtp9323UNAyBGrvCZhdwuOSOWIqN1A0CJo0i90jzjmFq0CLI9PYOXoC0rLhR3dkAZ6sn0JcudJFIfVz/6DTu8CtcG4djXQqmNjbg79J45v5DoJRvnbCYbymoTdLRhI5UgUJQ+kJ5fVVeHDslEj2b60crbJp+9k+7J8/AT7/VFH2Z/6jU7vArXDMDDw3DNwDEP9Jdfn0Hd2CitHXxCmYIQtB+Poem6TsLsFA6kciaLkgSy3StbguLpzV1vvqd2/L8278srzamxjQ5S0B773Zqd3gdqglcvQbDtU8vjHXv6y8JzVdL7S9U298mSkzeMpM7hqL0KdXqUQZ1l+2Wo+QLyir52q5/aeEpa/dkL5Lq1xxWN11y7o8/PQKpVNz2NuVWdx1R51ggMAhR6gagM9PdDK5cjfQ7aQp+nctHOXMNk8r2UBOn09jBpX7XWJOIuglccnpKM/oqnDdqqeB+1y7q54XHr9DRhzc8IgCmAQRRHS+GnKCntsPxZu/AIL8/eANXEj4Ha558DWlc0A6qux77wzG2olNaUfV+3lSNOKuQjrUbmrAGUrUmTTeEHqtIj0vfZqoH1XzcsiovSIe6TYPT8VZ6ahVavxvMfse9i+a1vT9kUrm8vjEwyccogjUjkTth6VqEZU6ypA2cmudbWK+7rWIKra3x+oLUPQ2iqsxUJJYV5LdOIe23PPT143WvZICY5uwClugaPrG7mhii2vNEAapEXZ35TSiSNStCn/yb2TUk3kbp06lJ2wqr/+38CwrijXWgm6nDhIXRiidqwefJSftYxYfeQgAI+6dLqOO+/MSl8vyw1VxRu8/OOIFEkDH11ShdcBPOf4vVYPBgmO3BOgqqB5Wblc8ZBmOcorCtJ3jaLnYKMjQvnxJzyf23d2Cv3HXpJXJvcYXRStHG6sJaVyDmGxzfzjiBQFvmOyfVYBykaG7L2jWH3koPKdfO/lS5D3Vt/MzREbmDysNl3A6tQUEkcZOkvDxmo3N6nbS9/ZKawcmRSee/wW44jymtzzksrqZBbbzD+OSFHgCuJ+JwbZyNDqIwfRd3Zq0+OOZKQizMWqPD4Be99Dak9mEJUoZ2io07sQGY4ydJ6be6R6nui9fCnyVXOyc11jnhWTy/OPgRR5VhAPc+KRFdKUTof09gofDnuxaqf0AsVHW8xPTRl+xjrPDaBUzxPGtauei3FUmrK3kp3rFubvRdJ8nrKBU3vkWzYhzMlANBw+8Nwz4ievies+hR0SL49PYOUnPxaOfjXKT8ZORlTiqeFD3ckNoGTNhGXPFzV2B6DUlF2EJQ2Ilc0jlLdKrlHzqry+cvSFSOtfAQ1Vha/OxlY/htTlqbJ5O5X7ScHHP46q40C/I69D1zg63lhB3BkYFNavW5w6B0C8Cs/eU4JxY/Pimii6QnSrvF0PWdmcmoQZwo7C6sFHhY+7QVOY+lde6tucvyfNwwrLQe3EzObJ3YnJ5s0ivzP+p//UM4hyNA19Z04LK4j/wvq7Wg2oUmljdd96PSjpCmVBEAUAxtXZjp0vKTsYSHWZ1iKb7hB23CeH4sy0cKpt5chkrMPi7kkw8sTyYhEDzz2D3ks/QvnxJ5QblFI+dGuyebW/X/y4YuFKFStHJoGLFz2fozmO7znMmJurFcrERtspw7oSbGd0oyPnS8oWBlJdRnZHFnf1Xdn79l6+FMn2fSuzR/IuG9zu8YUr76P4w7ehdTD/x9F0VIeGO/b+qqql6C62ndZtyeaOYWBx6hx+8fMPN5KrdQNOsRjZaK9T3ILFqXNYPnkKmJUXyJTpP3G8fg4Y+NKz4if1BLzhkXyvWa2cGjFHKkJZmBPevnsImqCyuFMoYOFG+L54nXzf1srsLlnew6bnlUrQ5+eluRWNHMMQ/h6d5ACAYcAZ3Art7p3UJtEntRQ8qe/h9gcHU/u3jlrrsZN956rDw9AWF1HduQuGpKCvynvseOIg8O67m57j9PRAa6PxsKNp0ATXPFlfUFkfwLjPl3mQhethEMyRojppdd+Ypyqktap27Wp720HzHlo5g9uwcOMOqrt2y5+jG6nNh9IAaLYNPcVBFAAUfvLjTu8ChSCafu9/5bjwufqdO/joC38EZ3ArHF2H09NTz1NyCj3SXKrGx4sz08C9e8LnVXfsDLz/jTTHaapM7lYql91AyaYsu3Vql8QYSHUZ2ZRE3NV3Ze9rzM21nW/QbuKv+3qv7dij+7B88lTmT6AOUL94JO2Bvzyb+HvGyjA6vQeJaJ1+L85Me4709p2dqk2nV6vQ1tagAViaOoeFG7+QFsvVUFtNN/g/jddGuj74oOnndqmExalz0G9+2O6vg97Ll5oWtsjq29mlEpa/dkL4M1Yrp0YMpLqMrIBc3FMu5fEJaSf1dvMNpKNdqjk5lQqGPzMGaPKvgxtkZT43RtNw9+JlVH7nd5N/75RNibatS0pqGLPvNd3syEaAvbjfcdnKXVfxh28LH3cGt9XOIRHcyLTeMMluoPT5+Y6dLylbGEh1oThKDaiQ3U22O6IkDW6cWqsGp1iEo+uwJS1vNADG9TnPhHH3BO6eWL2S/MqPPyF9r07THKdekJDa49XsNk/c0SI3mArzfXVfE7bZc5Q3Mq3BmF+6Q6fOl5QdDKQoMXHlZ7XeNbpBjHF9rja9UC5Dq1abW94EfI/Gofzy+ARQEDcFcAwDi381A2dwa9hfJ3Zu4cLE5WwqLPOjkwH1n97F8WcAAA2dSURBVKjlRYX5vrqvCfu5awxqZDcp9khpU+6TSOu0XKfSHSg/GEhRYuI8YTXeNcqCmL7XXq0/T+Wi7uYTCYfyZdM66xFa4Ho1CXKrxyftoz88kvh7UnCymwzjei2f0Wt6rvz4E8LH3e946P6ZDeeI5ePivKXl4yeaRo6WT55Smpbj9B21i4EUJSapE5bsrrcx10PlhG6vt4cQ7Z9t7hO/ZnQfijPT0pY0UdX9cFC7A68Oh6gfValAW7wf0Z6oKT/+RK0+UI6EnR51dHEQn5qaMMWi9Ed9r73qmZy9+Fcznt9xWRBWHR6WjyC1rBoMch4RTcuJas5x+o7awTpSEcpb3Yys8uuD5tVzq/V5shOqrI7O4tQ59J05nUgfNkfTYI+OYfXgo+i9fAnG1VmgWg1UAsEeKUH/8EYkvQgdAB8dmUTxB29BX68hVC2VsPzVE4lemBKrIyWpjQZsBEXCGkS6Aa0aXeK9AwC6Lg/edR326Bi0+/eUajvJaioBtfpJcBxpTbil19/Y1BC48dh79du8e/FyvWde4dpVVCLqudnI63vL4ClaebseetWRYiAVobx9cLJKdrJ0tZ60jWtXa/WsHMC4Oa98Am98fWOjZa8LrEx1eBjVXXtgzL4XqhbUypFJYQseP5Wx/cB6u4122SMl3HkneEXqqCX1PRz+zFjgopMAmiqBi4pDBuV1DN3gxh2JERbR9AicAr0XxIFjY5CiWpg3rmPoF8hRdPJ2PWQglZC8fXCyrDgzjYHJw4GrEkdxDP1GxETcfQrz2trre0K1qfEaOQkjDXf2SXwP/YL1JKmMsLrHRRT8BxlBVR3NbdQYpKgGMnEdw6AdFtwVrrIRNpLL2/WQlc2p65THJ6TF/+JOtA6zmqu6s1bh3a/OjlTIXn9uU1c/jqbVK1R7cesFifJQ8kSWH5X0HaKjaeg7cxoDzz3j2W/RPS6iXCCvlXROoWdTHlJTjpLCPjZuv9Mr5IKsHO5Ug3fKHgZSlFudOmmLkmF9K4mvRzNh6+zETXOceoVqrzpaxrWrXXEB6kj5CAFtfZrNbREk4+6vKMD1vLGorAkTsIOsfm3cfqdXyAU5J3SqwTtlD6f2IpS3ocw8kOUxycR5DD2nG3UDtjkK48r70hEir2m4an8/9OVl6XtXh4ah3b8H9PQC5V+Fnspzp2CGPz0mbBNij5TgDG7taB5KEt9D2RSVPVIKlTfVyAHgDA9DW1yqjTQWt8CBA71cDr3Nyth+rBx9QTgl55Vf5wBYuLUo3a7KVHSYQCnu76HKOaFTDd7zIm/XQ07tUddK07Jmr+lGrVobufEKcOyx/Vhaz1Fp5WwbEj+uaVg5MolfWH+Hhfl7WPjglnQfml4nebw+EiPZUf3mTRiSC2taRnGiIBvZ0G9ch72nBLtUUh+NbGGP7ccvv/Vt2L+5FzAM2P/tp6CthZu6re/vei6USO/lS9JpQb82S7K/g6Mbqa3HpHpO6FSDd8oeBlJECWqnGrZ75yyaGtHnJc1cNR29l37UNJWjsg9+Xe9l76dV1qTBYJ4uQE3HoaEulOY4MG7MwZibw9Lrb9QLQzq6+ql29ZGDm6ZG2ylP4dZhktZXu3YVv/yzbwt/pl+/7pnjJvs8Lszf7fiNS7s6nc9F2cFAiihBogtP43L4Rm5yt10qNd3Zi+6oZUFKfaSrIVcJqE232KVS/T2cQg8cXa9fCP263ocJivJ2AXKPg22K/xaNiffo6VHapqNpkefJuQ2qpcfMMDDw3DMbI2ktgaFfjluaRn2j1Ol8LsoO5khFKG9zwt2oE8cwito2QZbjq27XK5dE9f0c1Kaqoi6s6CXpY+iVS7P0+huByyQ4miasL+UW1mw8Hv2vHBfmqjVqrJumsi+yPK8kay3xXJp9eTuGsedImab5p6ZpLkSxLaKOunAh8WX7UUwhBBnpamyV4wraNkM2tdXKq81OXkhHeioVDHzxj4U/8vqbobdX/D6jY5uOh2zksJE7pdf6GXEkrWB0SbJ8ojluHfgeEoXVdiBlmuZnAYgzXYkypDgzDTz1VCLL9hsDl74zp7FyZLLtKYTWwKe6e0T4PA1o+r3Clivwm9oC8jedJyILhDUAWqUiflHVludNrYlfI/pbqtR0ai0/4H5GINs3he3EKcnvIVEU2gqkTNPcCeAQgH8Tze4QdU5UdWP8ilGKApe+s1NYOfpCZHkmxZlp3ymfgS9O1is3i6j+3rKRCkc3cj0S5QpaoNLl1fg6SG6OGxzJVnTKgllZYFQdES80SCooZv0myhrfHCnTNP8awE7Bj44D+AMAXwawFcDfWpa1XeVNKxXbKRT8C7kRJapQAEQ98goFQHX5+YULwFNPbX78/Hng0KHa/z9wAHj33c3POXAA+NnP1PfXi+w9RHQdEK0KU/29P/EJ4IMPxPsQ1e+TFbLPUKtPfAL41//a/7PiunABOHkSmJ0FxsaAY8c2P8d93re+tfG8l18WP899ruz9AfXtRK3d76Hq34oomOh77Zmm+fcAHAHwd6hN7f3PAL4B4PuWZf0nr9cy2ZzSKIqkb5VtJFHoL0jjZKdYhCYo9qjye3slMHdqhVMnv4eqvRK9et+1/s1kf+Mo/r5BC9YmoZ3vYZx/Kwomb9fD2JsWm6b5SQQYkWIgRWkUxUlYGiQBsPc9hJXnX5Q2iY1yVVSQ5seOrgvrFKn83l4Vvu+8M6u2sxHr5PdQZWWco+tYmL+nvM0oAvwsaed72G1/qzTL2/Uw1lV7pmn+BmqjUQ+sr97rb3ebRJ1QHp8Azp9vK+lbWs8JqCfNyhoTR5mDEqTwpz06Frpejiw/Sr85r/z+eaKU/D06FmibXoU086id72G3/a0oHVhHKkJ5i8C7UbvHUGVEwu17FveUSuO0TXXXLhhz4uTzdqY90jgCkJbvYVTTTGn8G8ct7DHsxr9VWqXlexgV9tojSojKiIRx7Woi1aAb3+POT2dr1cxHStKK6WGwjYacX2Vsv9WdLv6N1fFvRZ3AEakI5S0C70ZRHsNuuTtOW8JyFr6HQUer0vI3dstl1Pfj+Rdj2Y92jmFa/lbdLgvfwyBiTzYPioEUpVWUx5AriDojC9/DLAbZSX6es3AMyVvejiGn9og6IMqmp6rTQJQNWUyKZqFMIrFCp3eAKM/K4xOR1PppHAlwV/8trm+fssfeOyouG5FQG5Ywshj8ESWBI1JEKceRgPzJYlK0LMhLc/BHlAQGUkQpx5GA/Ily2jcpWQz+iJLAqT2ilMviNBD5i2LaN0nl8QksAlwRR9SCI1JEKceRgGzK4wKBJOqfEWUNR6SIUo4jAdnDBQJE3YOBFFEGZG0aqNt5LRDgcSTKF07tERFFjAsEiLoHAykiooixVABR92AgRUQUMS4QIOoeDKSIiCKWxTpRRBQOk82JiGLABQJE3YEjUkREREQhMZAiIiIiComBFBHV5bEaNxFRnJgjRUQAWI2biCgMjkgREQDvatxERCTGQIqIALAaNxFRGAykiAgAq3ETEYXBQIqIALAaNxFRGAykiAgAq3ETEYXBVXtEVMdq3EREwXBEioiIiCgkBlJEREREITGQIiIiIgqJgRQRERFRSAykiIiIiEJiIEVEREQUEgMpIiIiopAYSBERERGFxECKiIiIKCQGUkREREQhaY7jdHofiIiIiDKJI1JEREREITGQIiIiIgqJgRQRERFRSAykiIiIiEJiIEVEREQUEgMpIiIiopAKnd6BPDJN808BPG9Z1vZO7wsFY5rmnwNYAfBLAP8dasdxvrN7RSpM0/w9AP8EwC0AjmVZr3R4lygA0zQ/BeCbAH4KoATgF5ZlnejsXlEYpmk+AODHAP69ZVlf7vT+xI0jUhEzTfOzAIY6vR8U2rJlWV+xLOtbAN4B8JVO7xD5M02zD8BfAPgXlmV9HcAB0zSf6OxeUUDDAC5YlnXKsqyjAA6Zpvnbnd4pCuWbqJ0/uwIDqQiZprkTwCEA/6bT+0LhWJb1pw3/1FEbmaL0exjAf7Usq7z+70sAnuzg/lBAlmX9xLKs/6vhIR3Acqf2h8IxTfNp1L5/P+/0viSFU3sBmab51wB2Cn50HMAfAPgygK2J7hQF4nUMLcv6d+vP2QbgfwTwuST3jUJ7EMBSw78X1x+jDDJNcxzAX1uWdbXT+0LqTNMcA7DPsqxjpmke6PT+JIWBVECWZf0j0eOmaf49AGsAJlGb2nvANM1/CeD7lmX9pwR3kXzIjqHLNM2tAL4L4LBlWXeS2Stq0y0AAw3/Hlx/jDLGNM3HATwO4PlO7wsFNg7gV+vXvkcB9Jqm+bxlWWc6vF+xYq+9GJim+UkAf8tk8+wxTXM7gDMA/sSyrOumaX7Osqzvd3q/yNt6jtR/BPCQZVll0zS/D+C7lmW93eFdowBM03wSwP8A4GUAuwH8umVZf9PZvaIwTNP8OoCPdUOyOQOpiJmm+RsA/hmAZwF8C8CfW5bFef6MME3zp6iN1LojUUuWZf3jDu4SKTJN8x8CmABwG8AaV+1ly3pi+f8H4G/XH+oH8LplWW92bKcoFNM0PwfgiwB6UTuG5zu8S7FiIEVEREQUElftEREREYXEQIqIiIgoJAZSRERERCExkCIiIiIKiYEUERERUUgMpIiIiIhCYiBFREREFBIDKSIiIqKQ/n/FVQSWfw0CqQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(res['No1'], res['No2'], 'ro');\n", + "# plt.savefig('../../images/ch09/io_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "uuid": "7017f5f6-2a19-4d1e-b256-4936081ab91a" + }, + "outputs": [], + "source": [ + "h5s = pd.HDFStore(filename + '.h5s', 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "uuid": "eec6ad05-c74e-49e9-bd35-965d56ba3bc9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 42.4 ms, sys: 45.6 ms, total: 88.1 ms\n", + "Wall time: 155 ms\n" + ] + } + ], + "source": [ + "%time h5s['data'] = data " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "uuid": "69057178-872b-4080-8d36-3ea1d9b56b18" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "File path: /Users/yves/Temp/data/numbers.h5s" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h5s " + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "uuid": "179c2cf9-9505-4e1a-b6fc-f71429bbfd6d" + }, + "outputs": [], + "source": [ + "h5s.close() " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "uuid": "f13d24ff-afa4-453c-b098-ce986f0ec341" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 8.96 ms, sys: 13.9 ms, total: 22.9 ms\n", + "Wall time: 21.8 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "h5s = pd.HDFStore(filename + '.h5s', 'r') \n", + "data_ = h5s['data'] \n", + "h5s.close() " + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_ is data " + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "No1 True\n", + "No2 True\n", + "No3 True\n", + "No4 True\n", + "No5 True\n", + "dtype: bool" + ] + }, + "execution_count": 111, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data_ == data).all() " + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "uuid": "96b612da-9d26-498d-9b79-716d0bc9c5fa" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(data_, data) " + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "uuid": "8d68e5ac-7434-4e1c-b5b8-0c6f03171826" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 52633600 Dec 1 12:18 /Users/yves/Temp/data/numbers.db\r\n", + "-rw-r--r-- 1 yves staff 48007240 Dec 1 12:18 /Users/yves/Temp/data/numbers.h5s\r\n" + ] + } + ], + "source": [ + "ll $path* " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data as CSV File" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "uuid": "7925d095-cbde-430b-b2ef-f0f143df15b8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5.72 s, sys: 107 ms, total: 5.83 s\n", + "Wall time: 5.75 s\n" + ] + } + ], + "source": [ + "%time data.to_csv(filename + '.csv') " + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "total 284096\r\n", + "-rw-r--r-- 1 yves staff 43834157 Dec 1 12:18 numbers.csv\r\n", + "-rw-r--r-- 1 yves staff 52633600 Dec 1 12:18 numbers.db\r\n", + "-rw-r--r-- 1 yves staff 48007240 Dec 1 12:18 numbers.h5s\r\n" + ] + } + ], + "source": [ + "ll $path" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "uuid": "074e493b-576f-4a3d-a9b5-cafd2045c75c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 819 ms, sys: 103 ms, total: 922 ms\n", + "Wall time: 865 ms\n" + ] + } + ], + "source": [ + "%time df = pd.read_csv(filename + '.csv') " + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "uuid": "074e493b-576f-4a3d-a9b5-cafd2045c75c" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df[['No1', 'No2', 'No3', 'No4']].hist(bins=20, figsize=(10, 6));\n", + "# plt.savefig('../../images/ch09/io_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data as Excel File" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "uuid": "735350dc-e6af-4ee7-8f27-2505b3454682" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 21.8 s, sys: 396 ms, total: 22.2 s\n", + "Wall time: 22.3 s\n" + ] + } + ], + "source": [ + "%time data[:100000].to_excel(filename + '.xlsx') " + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "uuid": "0d2365b9-28b2-4bb5-8515-4c9ca628ec00" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 4.28 s, sys: 49 ms, total: 4.33 s\n", + "Wall time: 4.34 s\n" + ] + } + ], + "source": [ + "%time df = pd.read_excel(filename + '.xlsx', 'Sheet1') " + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "uuid": "0d2365b9-28b2-4bb5-8515-4c9ca628ec00" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.cumsum().plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch09/io_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": { + "uuid": "0f0f0a19-994c-43ff-940f-9cd05b94a0cd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 43834157 Dec 1 12:18 /Users/yves/Temp/data/numbers.csv\r\n", + "-rw-r--r-- 1 yves staff 52633600 Dec 1 12:18 /Users/yves/Temp/data/numbers.db\r\n", + "-rw-r--r-- 1 yves staff 48007240 Dec 1 12:18 /Users/yves/Temp/data/numbers.h5s\r\n", + "-rw-r--r-- 1 yves staff 4032725 Dec 1 12:19 /Users/yves/Temp/data/numbers.xlsx\r\n" + ] + } + ], + "source": [ + "ll $path*" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "uuid": "638a2e35-0a12-41be-9743-c7f4f4afcb23" + }, + "outputs": [], + "source": [ + "rm -f $path*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fast I/O with PyTables" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "uuid": "b671c317-5247-4a6b-94c9-0ee2850decba" + }, + "outputs": [], + "source": [ + "import tables as tb \n", + "import datetime as dt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Working with Tables" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "uuid": "4f7391d1-2f86-4913-af4d-2c603c970605" + }, + "outputs": [], + "source": [ + "filename = path + 'pytab.h5'" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "uuid": "4f7391d1-2f86-4913-af4d-2c603c970605" + }, + "outputs": [], + "source": [ + "h5 = tb.open_file(filename, 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "uuid": "60a374d2-b78c-4473-b17a-69982fd27a4c" + }, + "outputs": [], + "source": [ + "row_des = {\n", + " 'Date': tb.StringCol(26, pos=1), \n", + " 'No1': tb.IntCol(pos=2), \n", + " 'No2': tb.IntCol(pos=3), \n", + " 'No3': tb.Float64Col(pos=4), \n", + " 'No4': tb.Float64Col(pos=5) \n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "uuid": "28c4dabe-bfbe-4a90-bd60-072c2e8f1aa1" + }, + "outputs": [], + "source": [ + "rows = 2000000" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "uuid": "027696b8-2e1b-489f-8cb6-c24c6c3702ee" + }, + "outputs": [], + "source": [ + "filters = tb.Filters(complevel=0) " + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": { + "uuid": "027696b8-2e1b-489f-8cb6-c24c6c3702ee" + }, + "outputs": [], + "source": [ + "tab = h5.create_table('/', 'ints_floats', \n", + " row_des, \n", + " title='Integers and Floats', \n", + " expectedrows=rows, \n", + " filters=filters) " + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tables.table.Table" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(tab)" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "uuid": "71ce6940-bde4-437f-9daa-f2f577f3cd7e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "/ints_floats (Table(0,)) 'Integers and Floats'\n", + " description := {\n", + " \"Date\": StringCol(itemsize=26, shape=(), dflt=b'', pos=0),\n", + " \"No1\": Int32Col(shape=(), dflt=0, pos=1),\n", + " \"No2\": Int32Col(shape=(), dflt=0, pos=2),\n", + " \"No3\": Float64Col(shape=(), dflt=0.0, pos=3),\n", + " \"No4\": Float64Col(shape=(), dflt=0.0, pos=4)}\n", + " byteorder := 'little'\n", + " chunkshape := (2621,)" + ] + }, + "execution_count": 131, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tab" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": { + "uuid": "3830afd0-0a7b-439a-81b2-c81194deb7a5" + }, + "outputs": [], + "source": [ + "pointer = tab.row " + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": { + "uuid": "493096c9-7a8e-4342-b7c3-9390cbc03c6b" + }, + "outputs": [], + "source": [ + "ran_int = np.random.randint(0, 10000, size=(rows, 2)) " + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": { + "uuid": "493096c9-7a8e-4342-b7c3-9390cbc03c6b" + }, + "outputs": [], + "source": [ + "ran_flo = np.random.standard_normal((rows, 2)).round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": { + "uuid": "a15c64b5-17f2-4e11-b051-a6d68ba4bf7f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7.74 s, sys: 72.7 ms, total: 7.82 s\n", + "Wall time: 7.35 s\n" + ] + } + ], + "source": [ + "%%time\n", + "for i in range(rows):\n", + " pointer['Date'] = dt.datetime.now() \n", + " pointer['No1'] = ran_int[i, 0] \n", + " pointer['No2'] = ran_int[i, 1] \n", + " pointer['No3'] = ran_flo[i, 0] \n", + " pointer['No4'] = ran_flo[i, 1] \n", + " pointer.append() \n", + "tab.flush() " + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": { + "uuid": "0d0739a9-79a3-410a-abf0-20f6b8cef8c5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "/ints_floats (Table(2000000,)) 'Integers and Floats'\n", + " description := {\n", + " \"Date\": StringCol(itemsize=26, shape=(), dflt=b'', pos=0),\n", + " \"No1\": Int32Col(shape=(), dflt=0, pos=1),\n", + " \"No2\": Int32Col(shape=(), dflt=0, pos=2),\n", + " \"No3\": Float64Col(shape=(), dflt=0.0, pos=3),\n", + " \"No4\": Float64Col(shape=(), dflt=0.0, pos=4)}\n", + " byteorder := 'little'\n", + " chunkshape := (2621,)" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tab " + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": { + "uuid": "cff18aaa-9959-41a9-8f05-8ba42192368c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 100156248 Dec 1 12:19 /Users/yves/Temp/data/pytab.h5\r\n" + ] + } + ], + "source": [ + "ll $path*" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": { + "uuid": "2b81e6f0-86a1-429f-8d7c-ac4bbdcdd616" + }, + "outputs": [], + "source": [ + "dty = np.dtype([('Date', 'S26'), ('No1', '" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%%time\n", + "plt.figure(figsize=(10, 6))\n", + "plt.hist(tab[:]['No3'], bins=30); \n", + "# plt.savefig('../../images/ch09/io_05.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [], + "source": [ + "query = '((No3 < -0.5) | (No3 > 0.5)) & ((No4 < -1) | (No4 > 1))' " + ] + }, + { + "cell_type": "code", + "execution_count": 152, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [], + "source": [ + "iterator = tab.where(query) " + ] + }, + { + "cell_type": "code", + "execution_count": 153, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 171 ms, sys: 50.1 ms, total: 222 ms\n", + "Wall time: 173 ms\n" + ] + } + ], + "source": [ + "%time res = [(row['No3'], row['No4']) for row in iterator] " + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.7694, 1.4866],\n", + " [0.9201, 1.3346],\n", + " [1.4701, 1.8776]])" + ] + }, + "execution_count": 154, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res = np.array(res) \n", + "res[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": { + "uuid": "705d91ca-dc94-4db1-84d7-164fb5f5f1af" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(res.T[0], res.T[1], 'ro');\n", + "# plt.savefig('../../images/ch09/io_06.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": { + "uuid": "a9e8e16c-9af5-48dc-bf5c-39b353f5c09b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max 5.224\n", + "Ave 0.000\n", + "Min -5.649\n", + "Std 1.000\n", + "CPU times: user 120 ms, sys: 56 ms, total: 176 ms\n", + "Wall time: 175 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "values = tab[:]['No3']\n", + "print('Max %18.3f' % values.max())\n", + "print('Ave %18.3f' % values.mean())\n", + "print('Min %18.3f' % values.min())\n", + "print('Std %18.3f' % values.std())" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": { + "uuid": "6cfb0992-c393-45b0-999b-b242ea9c1ce6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 344 ms, sys: 40.8 ms, total: 385 ms\n", + "Wall time: 94.3 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "res = [(row['No1'], row['No2']) for row in\n", + " tab.where('((No1 > 9800) | (No1 < 200)) \\\n", + " & ((No2 > 4500) & (No2 < 5500))')]" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": { + "uuid": "6cfb0992-c393-45b0-999b-b242ea9c1ce6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(91, 4870)\n", + "(9803, 5026)\n", + "(9846, 4859)\n", + "(9823, 5069)\n" + ] + } + ], + "source": [ + "for r in res[:4]:\n", + " print(r)" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": { + "uuid": "399c76db-4f79-4264-b25f-50eab32303e0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 248 ms, sys: 38.9 ms, total: 287 ms\n", + "Wall time: 70.8 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "res = [(row['No1'], row['No2']) for row in\n", + " tab.where('(No1 == 1234) & (No2 > 9776)')]" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": { + "uuid": "399c76db-4f79-4264-b25f-50eab32303e0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1234, 9841)\n", + "(1234, 9821)\n", + "(1234, 9867)\n", + "(1234, 9987)\n", + "(1234, 9849)\n", + "(1234, 9800)\n" + ] + } + ], + "source": [ + "for r in res:\n", + " print(r)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Working with Compressed Tables" + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "metadata": { + "uuid": "4e6ac124-2500-47c5-9478-2eaaba25ea00" + }, + "outputs": [], + "source": [ + "filename = path + 'pytabc.h5'" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "metadata": { + "uuid": "4e6ac124-2500-47c5-9478-2eaaba25ea00" + }, + "outputs": [], + "source": [ + "h5c = tb.open_file(filename, 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": { + "uuid": "830338b0-ec10-4f95-8058-62b1858b46b7" + }, + "outputs": [], + "source": [ + "filters = tb.Filters(complevel=5, \n", + " complib='blosc') " + ] + }, + { + "cell_type": "code", + "execution_count": 164, + "metadata": { + "uuid": "d11f1cdc-c54a-49f3-992d-b76f7cad5a4a" + }, + "outputs": [], + "source": [ + "tabc = h5c.create_table('/', 'ints_floats', sarray,\n", + " title='Integers and Floats',\n", + " expectedrows=rows, filters=filters)" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [], + "source": [ + "query = '((No3 < -0.5) | (No3 > 0.5)) & ((No4 < -1) | (No4 > 1))'" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [], + "source": [ + "iteratorc = tabc.where(query) " + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": { + "uuid": "62ea755e-493b-4230-96ad-0ce7a0a33acc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 202 ms, sys: 40.2 ms, total: 242 ms\n", + "Wall time: 196 ms\n" + ] + } + ], + "source": [ + "%time res = [(row['No3'], row['No4']) for row in iteratorc] " + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.7694, 1.4866],\n", + " [0.9201, 1.3346],\n", + " [1.4701, 1.8776]])" + ] + }, + "execution_count": 168, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res = np.array(res)\n", + "res[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "metadata": { + "uuid": "f4e1df40-c747-49a2-815c-f1cbd33f621d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 35.9 ms, sys: 45.3 ms, total: 81.2 ms\n", + "Wall time: 80.3 ms\n" + ] + } + ], + "source": [ + "%time arr_non = tab.read() " + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "metadata": { + "uuid": "f4e1df40-c747-49a2-815c-f1cbd33f621d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "100122200" + ] + }, + "execution_count": 170, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tab.size_on_disk" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100000000" + ] + }, + "execution_count": 171, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr_non.nbytes" + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "metadata": { + "uuid": "f7428798-5946-49be-88b1-d67d26a41e70" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 69.7 ms, sys: 36.7 ms, total: 106 ms\n", + "Wall time: 106 ms\n" + ] + } + ], + "source": [ + "%time arr_com = tabc.read() " + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": { + "uuid": "f4e1df40-c747-49a2-815c-f1cbd33f621d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "41309952" + ] + }, + "execution_count": 173, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tabc.size_on_disk" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100000000" + ] + }, + "execution_count": 174, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr_com.nbytes" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": { + "uuid": "e21f417f-f123-41b5-b26b-ecebbbaa5c85" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 200312336 Dec 1 12:19 /Users/yves/Temp/data/pytab.h5\r\n", + "-rw-r--r-- 1 yves staff 41345248 Dec 1 12:19 /Users/yves/Temp/data/pytabc.h5\r\n" + ] + } + ], + "source": [ + "ll $path* " + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": { + "uuid": "ea7dd80f-44d8-4cd9-a16f-308a302dd460" + }, + "outputs": [], + "source": [ + "h5c.close() " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "uuid": "ee67fc74-5820-4037-b8d9-281c74435160" + }, + "source": [ + "### Working with Arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "metadata": { + "uuid": "ee67fc74-5820-4037-b8d9-281c74435160" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.65 ms, sys: 25.6 ms, total: 28.3 ms\n", + "Wall time: 226 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "arr_int = h5.create_array('/', 'integers', ran_int) \n", + "arr_flo = h5.create_array('/', 'floats', ran_flo) " + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": { + "uuid": "c91c089b-4727-4928-8069-2f74ab1f2c61" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "File(filename=/Users/yves/Temp/data/pytab.h5, title='', mode='w', root_uep='/', filters=Filters(complevel=0, shuffle=False, bitshuffle=False, fletcher32=False, least_significant_digit=None))\n", + "/ (RootGroup) ''\n", + "/floats (Array(2000000, 2)) ''\n", + " atom := Float64Atom(shape=(), dflt=0.0)\n", + " maindim := 0\n", + " flavor := 'numpy'\n", + " byteorder := 'little'\n", + " chunkshape := None\n", + "/integers (Array(2000000, 2)) ''\n", + " atom := Int64Atom(shape=(), dflt=0)\n", + " maindim := 0\n", + " flavor := 'numpy'\n", + " byteorder := 'little'\n", + " chunkshape := None\n", + "/ints_floats (Table(2000000,)) 'Integers and Floats'\n", + " description := {\n", + " \"Date\": StringCol(itemsize=26, shape=(), dflt=b'', pos=0),\n", + " \"No1\": Int32Col(shape=(), dflt=0, pos=1),\n", + " \"No2\": Int32Col(shape=(), dflt=0, pos=2),\n", + " \"No3\": Float64Col(shape=(), dflt=0.0, pos=3),\n", + " \"No4\": Float64Col(shape=(), dflt=0.0, pos=4)}\n", + " byteorder := 'little'\n", + " chunkshape := (2621,)" + ] + }, + "execution_count": 178, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "h5 " + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "metadata": { + "uuid": "5bf3d20c-0dd1-447f-b7ca-34adb0e9a2c6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-rw-r--r-- 1 yves staff 262344490 Dec 1 12:19 /Users/yves/Temp/data/pytab.h5\r\n", + "-rw-r--r-- 1 yves staff 41345248 Dec 1 12:19 /Users/yves/Temp/data/pytabc.h5\r\n" + ] + } + ], + "source": [ + "ll $path*" + ] + }, + { + "cell_type": "code", + "execution_count": 180, + "metadata": { + "uuid": "3dfffbc8-ab8e-4c6e-9e18-316d220e51a0" + }, + "outputs": [], + "source": [ + "h5.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 181, + "metadata": { + "uuid": "2a157cb2-dcc1-44fe-b4da-658bbe2b6ebb" + }, + "outputs": [], + "source": [ + "!rm -f $path*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Out-of-Memory Computations" + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": { + "uuid": "e241b3b2-bfe1-45b4-9e85-0b39586ca42a" + }, + "outputs": [], + "source": [ + "filename = path + 'earray.h5'" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": { + "uuid": "e241b3b2-bfe1-45b4-9e85-0b39586ca42a" + }, + "outputs": [], + "source": [ + "h5 = tb.open_file(filename, 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": { + "uuid": "dd0e24b0-d0cc-4cb0-90e0-7c6445dcb1d2" + }, + "outputs": [], + "source": [ + "n = 500 " + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": { + "uuid": "dd0e24b0-d0cc-4cb0-90e0-7c6445dcb1d2" + }, + "outputs": [], + "source": [ + "ear = h5.create_earray('/', 'ear', \n", + " atom=tb.Float64Atom(), \n", + " shape=(0, n)) " + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tables.earray.EArray" + ] + }, + "execution_count": 186, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(ear)" + ] + }, + { + "cell_type": "code", + "execution_count": 187, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-1.25983231, 1.11420699, 0.1667485 , 0.7345676 ],\n", + " [-0.13785424, 1.22232417, 1.36303097, 0.13521042],\n", + " [ 1.45487119, -1.47784078, 0.15027672, 0.86755989],\n", + " [-0.63519366, 0.1516327 , -0.64939447, -0.45010975]])" + ] + }, + "execution_count": 187, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rand = np.random.standard_normal((n, n)) \n", + "rand[:4, :4]" + ] + }, + { + "cell_type": "code", + "execution_count": 188, + "metadata": { + "uuid": "4dabef84-39ca-4dd4-a8ab-edc65d340965" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 614 ms, sys: 752 ms, total: 1.37 s\n", + "Wall time: 2.93 s\n" + ] + } + ], + "source": [ + "%%time\n", + "for _ in range(750):\n", + " ear.append(rand) \n", + "ear.flush()" + ] + }, + { + "cell_type": "code", + "execution_count": 189, + "metadata": { + "uuid": "4dd0218f-b9ca-4ee5-8a1f-af071e346c55" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "/ear (EArray(375000, 500)) ''\n", + " atom := Float64Atom(shape=(), dflt=0.0)\n", + " maindim := 0\n", + " flavor := 'numpy'\n", + " byteorder := 'little'\n", + " chunkshape := (16, 500)" + ] + }, + "execution_count": 189, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ear" + ] + }, + { + "cell_type": "code", + "execution_count": 190, + "metadata": { + "uuid": "58694407-5d44-400d-99a1-252ea1595514" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1500032000" + ] + }, + "execution_count": 190, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ear.size_on_disk" + ] + }, + { + "cell_type": "code", + "execution_count": 191, + "metadata": { + "uuid": "f29bef2e-37fb-4f47-83fd-ef09041f2f77" + }, + "outputs": [], + "source": [ + "out = h5.create_earray('/', 'out',\n", + " atom=tb.Float64Atom(),\n", + " shape=(0, n))" + ] + }, + { + "cell_type": "code", + "execution_count": 192, + "metadata": { + "uuid": "f29bef2e-37fb-4f47-83fd-ef09041f2f77" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 192, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "out.size_on_disk" + ] + }, + { + "cell_type": "code", + "execution_count": 193, + "metadata": { + "uuid": "aedc7c36-5839-4df5-8391-f0620b2c1381" + }, + "outputs": [], + "source": [ + "expr = tb.Expr('3 * sin(ear) + sqrt(abs(ear))') " + ] + }, + { + "cell_type": "code", + "execution_count": 194, + "metadata": { + "uuid": "aedc7c36-5839-4df5-8391-f0620b2c1381" + }, + "outputs": [], + "source": [ + "expr.set_output(out, append_mode=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 195, + "metadata": { + "uuid": "79542d3f-60fe-4303-abb8-2a21ce9512f2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.73 s, sys: 893 ms, total: 3.62 s\n", + "Wall time: 2.04 s\n" + ] + }, + { + "data": { + "text/plain": [ + "/out (EArray(375000, 500)) ''\n", + " atom := Float64Atom(shape=(), dflt=0.0)\n", + " maindim := 0\n", + " flavor := 'numpy'\n", + " byteorder := 'little'\n", + " chunkshape := (16, 500)" + ] + }, + "execution_count": 195, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time expr.eval() " + ] + }, + { + "cell_type": "code", + "execution_count": 196, + "metadata": { + "uuid": "79542d3f-60fe-4303-abb8-2a21ce9512f2" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1500032000" + ] + }, + "execution_count": 196, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "out.size_on_disk" + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "metadata": { + "uuid": "19d61e69-3488-4556-8d2b-cc06edb9c39e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.73369462, 3.74824436, 0.90627898, 2.86786818, 1.75424957,\n", + " -0.91108973, -1.68313885, 1.29073295, -1.68665599, -1.71345309])" + ] + }, + "execution_count": 197, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "out[0, :10]" + ] + }, + { + "cell_type": "code", + "execution_count": 198, + "metadata": { + "uuid": "2409ddc9-2963-4599-9d8c-a3abc1e010d3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 750 ms, sys: 885 ms, total: 1.63 s\n", + "Wall time: 1.66 s\n" + ] + } + ], + "source": [ + "%time out_ = out.read() " + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "metadata": { + "uuid": "2409ddc9-2963-4599-9d8c-a3abc1e010d3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.73369462, 3.74824436, 0.90627898, 2.86786818, 1.75424957,\n", + " -0.91108973, -1.68313885, 1.29073295, -1.68665599, -1.71345309])" + ] + }, + "execution_count": 199, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "out_[0, :10]" + ] + }, + { + "cell_type": "code", + "execution_count": 200, + "metadata": { + "uuid": "65d5272f-66d9-4fdd-a16a-ae900f2842c4" + }, + "outputs": [], + "source": [ + "import numexpr as ne " + ] + }, + { + "cell_type": "code", + "execution_count": 201, + "metadata": { + "uuid": "65d5272f-66d9-4fdd-a16a-ae900f2842c4" + }, + "outputs": [], + "source": [ + "expr = '3 * sin(out_) + sqrt(abs(out_))' " + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 202, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ne.set_num_threads(1) " + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "metadata": { + "uuid": "d58a70be-dc0f-444f-895d-9115864059c8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.04 s, sys: 1.31 s, total: 3.35 s\n", + "Wall time: 3.95 s\n" + ] + }, + { + "data": { + "text/plain": [ + "array([-1.64358578, 0.22567882, 3.31363043, 2.50443549, 4.27413965,\n", + " -1.41600606, -1.68373023, 4.01921805, -1.68117412, -1.66053597])" + ] + }, + "execution_count": 203, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time ne.evaluate(expr)[0, :10] " + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 204, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ne.set_num_threads(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": { + "uuid": "d58a70be-dc0f-444f-895d-9115864059c8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3.81 s, sys: 2.63 s, total: 6.43 s\n", + "Wall time: 2.72 s\n" + ] + }, + { + "data": { + "text/plain": [ + "array([-1.64358578, 0.22567882, 3.31363043, 2.50443549, 4.27413965,\n", + " -1.41600606, -1.68373023, 4.01921805, -1.68117412, -1.66053597])" + ] + }, + "execution_count": 205, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time ne.evaluate(expr)[0, :10] " + ] + }, + { + "cell_type": "code", + "execution_count": 206, + "metadata": { + "uuid": "d0c3ef43-f285-4dc1-b0ab-af206e6b3dd6" + }, + "outputs": [], + "source": [ + "h5.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "metadata": { + "uuid": "4343a20a-8132-4fbf-9360-3a627da7d0cf" + }, + "outputs": [], + "source": [ + "!rm -f $path*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## TsTables" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sample Data" + ] + }, + { + "cell_type": "code", + "execution_count": 208, + "metadata": {}, + "outputs": [], + "source": [ + "no = 5000000 \n", + "co = 3 \n", + "interval = 1. / (12 * 30 * 24 * 60) \n", + "vol = 0.2 " + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.1 s, sys: 179 ms, total: 1.28 s\n", + "Wall time: 703 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "rn = np.random.standard_normal((no, co)) \n", + "rn[0] = 0.0 \n", + "paths = 100 * np.exp(np.cumsum(-0.5 * vol ** 2 * interval +\n", + " vol * np.sqrt(interval) * rn, axis=0)) \n", + "paths[0] = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 210, + "metadata": {}, + "outputs": [], + "source": [ + "dr = pd.date_range('2019-1-1', periods=no, freq='1s')" + ] + }, + { + "cell_type": "code", + "execution_count": 211, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2019-02-27 20:53:14', '2019-02-27 20:53:15',\n", + " '2019-02-27 20:53:16', '2019-02-27 20:53:17',\n", + " '2019-02-27 20:53:18', '2019-02-27 20:53:19'],\n", + " dtype='datetime64[ns]', freq='S')" + ] + }, + "execution_count": 211, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dr[-6:]" + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(paths, index=dr, columns=['ts1', 'ts2', 'ts3'])" + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 5000000 entries, 2019-01-01 00:00:00 to 2019-02-27 20:53:19\n", + "Freq: S\n", + "Data columns (total 3 columns):\n", + "ts1 float64\n", + "ts2 float64\n", + "ts3 float64\n", + "dtypes: float64(3)\n", + "memory usage: 152.6 MB\n" + ] + } + ], + "source": [ + "df.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Uvo12B2kLLifqq5dRLhEzknAJ0c2FqiqpfXcrll69cU2YRNKwS9DCYfzHj8e0H03T8OzOx2i3k3TJiDY962qaVvTulSKoonU8O7cTqa3FPWMmJoej0/tPnTMPY1Iy1evWEPXLKJfoOEm4hOjmqt56EyIR0hdfgcFoxDF8OBD7dVyBkycJnzlD8uixGC2WNj17doH92QX3QjSnsdDpGjAaSZ0zX5cYTA5H41qu+npqNqzXJQbRs0jCJUQ3Fqqupm7rZixZWaRMugwAx1AFjMaYr+M6tzsx78LFTi/EktU0rXjoQzmrTrTI9+FBgsVFuPImYsnI0C2OxlGuJKrWribq9+sWh+gZJOESohurXvMmWjjcOLrVtIjd5HBgH3QR/oKPYjYVomka3t35GGw2kkZc2q42XOPPTivKbkXRvOp1jecZpi1YqGscpqQk0uYvJOr1UrNRRrlEx0jCJUQ3Fa6toXbzJszpGaRMnvqJa0nDhkM0iu+IGpO+gkWFhMrLcI4ajdFqbVcbZ4ugemS3omhGoLgY34EPcAy9GHvuIL3DIXXuPIwOB9VrZJRLdIwkXEJ0U9VrV6OFQqQvXvKZEg1JwxrXcTUcis204tnpRGcrip1eiCUrC9vA3MbdijKtKC7gv6Nb8T3Gp7VMScmkzltAxOuhZtMGvcMR3ZgkXEJ0Q2FPHTUbN2BOSyNl6vTPXLcPHoLBbI7JOi5N0/Dk78JgtZJ86agOteXKmwCRCN59sltRfFa4thbP9vewZPciefQYvcM5J23egqZRrreIBgJ6hyO6KUm4hOiGqteuaSwIuWjJeXcMGq1W7EOGEig81eHRpGBJMaHSUpIvHYXRZutQW06ZVhTNqF7duCYxbf4CDMau8+PJlJxM6tz5RDwyyiXar+t8RwshWiXi9VKzYT0mtxt3MwUhz04rdnSU62xy5Bzf9t2Jn2bNysY2YKDsVhSfoEUilD3/HNXr1jSO2k6ZpndIn5E2bwFGu53q1TLKJdpHEi4hupnqt9eiBfykL1zc7AL2s2cddjTh8u7Ox2A24xw1ukPtnOWaMLFpWnFvTNoT3Vukvp7iP/wftRvXY+3bj/7f/X6HR1LjweR0No1y1VG7eZPe4YhuSBIuIbqRSNNRIyZXCu6Zs5q91z4wF4PNju9w+wug+k8UECwpJvnS0Rjtsan27RzXeAixrOMSwbJSTv3qYXyHDpI8egwDvvd9LBmZeod1QWnzF2Kw2ala8ybRYOyPzhI9myRcQnQjNevfJtrQQNrCy1scBTCYzSQpCqHSUkLV1e3rb/NGANwzZrbr+fOx9uqNtU8Ovg8PytRMAvMdPsSpXzxMqLSUtIWLyPnGPTFL6uPF5HSSNncekdpaKl56Hi0a1Tsk0Y1IwiVENxFpaKB63VqMTieps+a06plz5SHaMcoV8fnw7NyBOTOTpBEj2/x8c5LHjEULBvF9eDCm7YruoWbzJooe+R3RgJ9et95O1peu7VKL5JuTdvlibP0HULtlM2XPPiVJl2i17vEdLoSgduN6or560uYvxGi3t+oZx9mF8+2ox+XZsQ0tEMA9fWbMfxg6x4wFkHVcCUaLRCh/6XnKn3sao8NBv29/B/e0z5Y16cpMSUn0+/Z3sOUOou6drZT+8wm0SETvsEQ3IAmXEN1A1O+nau1qjElJpM6Z1+rnbP36Y3Q68R0+hKZprX5O0zRqNm8CkykuPxDtgy7C5HZTv3+fjBAkiIjPR/Gf/kDN2+uw5uQw4Ps/IuliRe+w2sXkdNLv/gexXzQYz/ZtlD75d7RwWO+wRBcnCZcQ3UDNpg1EvV7S5i3A5Gj9OheD0UiSMoxwVSWh8vJWP+f/6DjBokKcY8Zidqe2J+QW43KOHkPE48F//FjM2xddS7C8nMJf/RzfgQ9IGjmK/t/7IdasbL3D6hBTUhJ9v/UAjqEX49m5g9NP/FWSLtEsSbiE6OKiwSDVa1ZjdDhInTu/zc8nDWt7eYiz297dM2e3ub/WSj43rSi7FXuyYFkphb96mODpElLnLaDvPfe16R8NXZnJ4aDvvffjUIbh3Z1PyV8fJxoK6R2W6KIk4RKii/Ps3E7EU4d71hxMycltfj5peNsWzkfq6/Hs2oElK/vcovt4SBp+CQabDe++vW2a7hTdR8TjofjRR4h4PGRdfyPZ193QbRbHt5bRbqfvPd8iafgI6vftpeTxPxENSckI8Vk96ztfiB5G0zRq1q8Do5HU2a3bmfhpll69MaelNa7jasV6qbpt76GFQrhnzIrrD0ejxUryiJGEysoInj4dt36EPqKhIMWPPUqovIz0xVeQ1o7R2e7CaLORc8+9JI0che/Afkr+9KiUPBGfIQmXEF1Yw9EjBAoLcY4bjyU9o11tGAwGHMOGE/F4CJYUN3uvpmnUbtkIJhMp0+J/vIpzzDgA6mVasUfRolFKn/wH/uPHcE28jIyrrtY7pLgzWqzkfONukseMxffhQYr/+AhRv1/vsEQXIgmXEF1Yzfp1AB0eHWjtuYoNR48QLCnBNT4PsyulQ322RvKo0WA0SnmIHubMq//Bm78Tx9CL6XXb7T1uGvFCjBYLOXd+A+f4PBrUwxQ/+n9E/Q16hyW6iMR4FwjRDYUqK/Hu2Y1twEDsQ4Z2qK3WLpw/t1h+xqwO9ddaJqcTx5Ch+As+Ilxb0yl9iubVvrOVilf+TcTna9fzNZs3Ur36TSy9ejdWj7dYYhxh12Ywm+nz1a/jmjiJhqNHKH36n3qHJLoISbiE6KJqNq4HTSN17nwMBkOH2rJkZGDJ7kWDeviCRRojHg/e3buw9O6NQxnWof7awjlmHGga3vf3dVqf4vxq332HsqefpPqtVZz44UN4due36fn6D/ZT/vxzmJwu+t57PyanM06Rdm0Gk4neX/kalqxsfAcPSK05AUjCJUSXFA0EqN26GZPLhWvixJi0mTRsONGGBvwnT573eu1776CFw6TOmN3hBK8tksc2loeol2lFXdUf2E/Zs09hTEombeEiovVeTv/lMYof/2OrzuL0nzpJyV//jMFoJOfue7Fmd+86Wx1lMBqxX3QR0YYGQhWtr4Enei5JuITogjw7thOtr8c9cxZGizUmbTZ3rmLjYvnNGMxmUqZMjUl/rWXNysbat1/jYdayyFgX/hMFlPzlcQxGI33vvpesL13LwJ88jONihfq9ezj5o4eo2bThgiM1oaoqiv/4CFrAT++vfA3H4CGd/BV0TfaBgwDwnzihbyCiS5CES4guRtM0qtevazxWZ2b7SkGcT3PnKjaohwmVleLMm6DLNJBzzFi0cJj6gwc6ve9EFywvp/jRR9CCQXrfcSeOoRcDYO3dh34P/C/ZX74VgPJlz1L0218TKCn5xPORhgaK//gIkZoaMr90La68CZ39JXRZttxcAAInT+gah+gaJOESootpUA8TLC7CNT4PS1pazNo1p6Rg7duPhmNHPlMNu2bTRgBS41hZvjlnD7OWacXOFa6ro/iR3xHx1JF9w824xo3/xHWD0UjqjFnkPvyrxp13R49w6mc/ovL15URDIbRwmNN/fZxgUSHuWXNIW3C5Tl9J12QfMAAMBvwnCvQORXQBZr0DEEJ8UnVTKYj2HOPTkqThw6kpLsL/0XGSmhbGh+vq8O7djTWnb4d3Q7aXbWAuptRUvPv3oUUiGEwmXeJIJFG/n+I/PkKoopz0JVc2W1jXnJpKzte/iXfvHspfeI7K15fj2bUTa04OvoMHSL50FNnX39ipa/+6A6PdgbV3HwKnTqJFowlTHkOcn/ztC9GFhCoqqN+3F1vuIOwXDY55++crD1H37laIRHDPnKXbD8zGw6zHEq2vp+HYUV1iSCRaOEzJX/9M4EQBKVOnt7owqXPsOAb+7Je4Z88heLoE7+58bAMG0udrd0mSfAG2gQOJ+v2Eysv0DkXorMURLkVRBgM/B/YA/YBKVVV/pijKT4BZH7v1F6qqrmt65kEgBUgD1qqq+nqM4xaiR6rZ1FgKIm3uvLgkP46LFTAY8B36ED6/FC0apXbLJgxWKymTp8S8v7Zwjh1L7eaNePftPTf6JmJP0zTKnn0a34H9JI0cRa+bb2nT95rJ4aDXjV8mZeJkPPk7SV+0GKPdHseIuzd77iA827fhP3kCa+8+eocjdNSaKcV04CVVVVcAKIryoaIoqwBUVZ316ZsVRZkEzFZVdbGiKBbgQ0VRtqiqKlUNhWhGYymILZhcKTjzYlMK4tNMSUnYcwfhL/iIqN9Pw/FjhCoqSJkyDVNS2w/GjiWHMhyj3U79vj1o11wn01NxUrn8Vereewdb7iByvv4NDOb2rSxxDB2KY6g+U9DdiX1gLtC4UzFl0mR9gxG6avGdpqrqrk+9ZATqARRF+T4QAEzAn1RV9QFXANuang0pinIImAHIKJcQzajb/h5Rn4/0Kz8f1+rcjmHD8Rd8RMOxI9Ru2QyAe5Y+i+U/zmixkDTyUrz5uwiWFGPr20/vkHqcmo0bqFr1BpbsXvS951sYbTa9Q+rxbP0bF84HZOF8wmvTP20URVkKrFFV9bCiKP8GTqiqWq8oyl3An4DbgWzg4/vO65pea1ZWlqstobRbZ/UjRFtomkbhpvUYTCYGX30l1vT4fZ9aLhtP9VurCO7Nx7tvL8mDcuk/cXSXGFHSpk/haP4utCMHyRozXO9wWqW7fKZUbttB+QvPYXG7ufRnP8LRp7feISUIF8X9+hIoPEVmepKsdevGOvpeb3XCpSjKbGA2cB+AqqoHP3Z5A/Bg06/LgY9HldL0WrMqKjytDaXdsrJcndKPEG3lO/QhDYVFuCZdRm3EDHH8Po1m9sVgNlOxeQsAyVNmcOaMN279tUU092IwGil7dzv22Qv1DqdF3eUzJVxbQ8HvH8FgtdLn7vvwmpPxdoO4ewpLv4E0FBZRfOAYtpwcvcMR7fDp93p7kq9W7VJUFGUJsBC4F+itKMpkRVF++7FbhgLHmn69Epjc9JwZuATY0ubIhEgg8SwF8WlGm+3cDkiDzYbrsq6zrsSUnIzjYoXAiQLCNS0fJyNax7s7Hy0UIvOqq7HnDtI7nIQjBVAFtCLhUhRlPPAv4DJgI7ACUICwoiiPNq3juhH4BoCqqjuAjYqi/JLGacb7ZcG8EBcWLC+n/v192AddhCMOpSDOJ2l4Y3mIlEmXYXI4OqXP1nKOGQeAV4qgxszZQ6jjtRlDNO/cwvmTso4rkbVm0fxuoE1nfaiq+tuW7xJCANRsbCwFkTp3Xqf16Z4+g2DpadKXXNlpfbaWc+xYKl56Hu++vaTOit3RRokq7Kmj4YiKffCQmJ5cIFrv3ML5CxwcLxKDVJoXQkdRv5+6d7ZgcrtxdeLogzk1jT533Nlp/bWFJSMTW//+NBw+RNTfgNHetUbguhvv3j2gabjG5+kdSsIy2mxYc/riP3lCKs4nMPlbF0JHddveJdrQQOrM2e2uh9QTJY8Z13iY9YEP9A6l2/OenU781DmJonPZB+aiBYMES0/rHYrQiSRcQuhEi0apWf82mEy4dTo0uqs6e5i1d6+s4+qISH09vsOHsA3MxZKZpXc4Ce3cwvkTJ3SNQ+hHEi4hdOI79CHB0tO4Jk7C7HbrHU6XYhswEHN6OvUfvI8WDusdTrfl3bcXIhGZTuwC/rtw/oSucQj9SMIlhE5qNm0AIHV25y2W7y4MBgPJo8cS9floOHpE73C6Le+epulESbh0Z+s/AIxG/FJxPmFJwiWEDkJVVdS/vw/bgIHYB0ldpPM5N60o5SHaJdLQgO/gAax9+2HtJVXl9Wa0WrHmNFac1yIRvcMROpCESwgd1L2zBaJR3LNmd4kjdbqiJGUYxqQkPDu3Ew0E9A6n26nf3zgdK9OJXYc9VxbOJzJJuIToZFokQu3WzRjtdlImXqZ3OF2WwWwmdc48Ih7PuelX0Xr/nU6coHMk4qxz67hkWjEhScIlRCer37+PcHU1rslTMNrteofTpaXNW4DRbqd69VsyytUG0UCA+g/2Y+ndG6uc3ddl2AY2Lh+QI34SkyRcQnSymk0bAUiVUhAtMjmdTaNcddRu2aR3ON1G/YH9aMEgrnF5MmXdhdj69wOTCb+UhkhIknAJ0YmCFeX4Dh7APmQotn799Q6nW0jFTtYvAAAgAElEQVRbcDkGm52q1W8SDQb1Dqdb8O7eDcjuxK7GaLFik4XzCUsSLiE6Ue3mTYCMbrVF4yjXXCK1tdRu3ax3OF1eNBSkfv8+LJlZ2AYM1Dsc8Sm2gblooRDBkhK9QxGdTBIuITpJNBSi7t2tGJOTcebJyENbpC1YiMFqpeqtVURDMsrVHN/Bg0T9fpzjx8t0Yhdkb6o4LwVQE48kXEJ0Eu/e3UQ8HtxTp2O0WPUOp1sxu1JInT2XSE0NdVu36B1Ol3Zud+I4Seq7Intu48J5/0nZqZhoJOESopPUNi2Wd8+YpW8g3VTawkVNo1xvEg2F9A6nS9LCYbz79mFOS8M+6CK9wxHnYe3buHBezlRMPJJwCdEJAiUlNBxRSRp+CdbeUvW7PcwpKaTOnE24uoq6d7fqHU6X5FMPE/XV4xyXh8EoH+9dkdFiwda3X+PCeTknNKHIO1KITlC7pWl0SxbLd0ja5YswWCxUvblKflidh3f3LkB2J3Z19txctHCYQEmx3qGITiQJlxBxFg0EqHvvXUxu97nzAUX7mN2puGfOJlxVSe177+gdTpeiRaN49+7B5ErBMWSo3uGIZkgB1MQkCZcQcebJ30nU58M9bQYGs1nvcLq99MsXYTCbqXpzpYxyfUzDEZWIx4Nz3DiZTuzi/nvEzwld4xCdS96VQsRZ7eaNYDDIYvkYMaem4Z4xi/CZM9Rte1fvcLoMz245O7G7sPbti8FsltIQCUYSLiHiyH/qJP6PPiL50lFYMjL0DqfHSLt8ceMo1yoZ5YKm6cQ9uzEmJ5N0saJ3OKIFRosFa99+BIsK5fs3gUjCJRKa/0QBxY89SvlLL1D7zhb8Jwpiekhy7eamxfKzZLF8LFnS00mZPoPQmQrqdmzTOxzd+T86TqS2BueYcTJt3U3IwvnEI+9MkbCigQCn//5XQuVln7xgMGDp1Qtb337Y+vXH1q8/1n79sGRktmltTKShgbrt2zCnZ5A8clSMoxfpi5ZQu2UzVSvfIOWyKRhMJr1D0o333HTieJ0jEa1lHziIWjbhP1GAXY5gSgiScImEVfn6a4TKy0idMw/XpMsIFBURLC4kUFREoKgQb2n+uR9kAAabHdeECWR87ios6S1PD3q2b0MLBHAvWiKLmOPAkp6Be9p0ajdvwrNzOymTp+odki40TcOzJx+jw0HS8BF6hyNaydZ0xI/sVEwcknCJhOQv+IjqtWuwZGWT+YUvYbTZcAwecu66pmmEq6sJFBUSLG5MwPzHj1P3zlY827eROmce6YuvwOR0nrd9TdOo2bQBTCbc02Z01peVcNIXX0HtO1upXPkGrkmTEzKxDZw8QbiyEtekyRgtFr3DEa1ky2laOC87FROGJFwi4WjhMKVP/xM0jV633IbRZvvMPQaDAUt6Opb0dBg1uvG5aJS6be9RueI1qteupnbrZtIWLiJt3gKMdvsnnvd/dJxgcRHO8XmYU1M75etKRJaMTNxTp1G7ZXPjKNdlU/QOqdP9d3eiFDvtTgxmM9Z+/QkUniIaCkmynAAS75+DIuFVrnqDYHER7pmzSRo2vNXPGYxG3FOnkfuLX5N13Q0YTGYql79KwUPfoWbD25/YbXT23MTUWXNiHr/4pPRFV4DJRNXKNxJux5emaXh352OwWkkeMVLvcEQb2XMHQSRCsFgWzicCSbhEQgkUFVL15krM6elkfvGadrVhtFhIm7eA3F/9hvQrP080EKT8hWWc+OH3qNuxjYjHg2fXDiy9euFQhsX4KxCfZsnKwj11GsHS05x+4q9okYjeIXWaYFERofIykkeNPu9Ireja7AMbF8v7TxboHInoDDKlKBKGFok0TiVGIvS6+VZMDkeH2jM5HGR+fimps+dSteoNajZtoPSJv2F0OtHCYVJnzk7INUV6yLr2BoKlpXh351P65BP0/spXe/yffcTno/zFZQC4xsl0Yndkz5UjfhJJz/5EEuJjqtetIXCiANfkKSRfGrsyDeaUFLKvv5FBv/g1KZOnEq2vx2C1kjJlWsz6EM0z2mz0vedb2IcMxbNzO2VPPYkWjXZK33Xb3uXUL39GoKSkU/oDCNfWUvTbX9NwRMU5Pk/Wb3VT1j45GCwWWTifIGSESySEYGkplStew+RKIfvaG+LShyUzi96330H6kivQIpEL7mAU8WG02+l77/0UP/LbxiN/zCZ63XxrXEe6vMc/ouyZp9DCYYof/T0DvvfDuG+SCFVUUPTI7wiVl+GeOYvsG7/c40fzeiqD2Yytf3/8J08SDQUxWqx6hyTiSN6losfTolHKnvknWihE9o03xz0Rsvbug61vv7j2Ic7P5HDQ975vYxswkLqtWyh/YRmapsWlr0hDA+pvfo8WDuPMm0C4spLiPz5C1N8Ql/4AAsVFnPr1LwiVl5F+xZVk33SLJFvdnG1g08L5oiK9QxFxJu9U0ePVbtpAw9EjOMeNx5UnB/v2dKakZPrd/yC2/v2p3bSBipdeiHnSpWkaZc88hb+0lLRFS+jztbtwz5hJ4NRJSv7yeFx2SzYcO0rh//slkdoasq69nsyrvoDBYIh5P6Jz2QfmAshB1glAEi7Ro4Uqz1Dxyn8wJiWTfePNeocjOonJ6aTv/Q9izelLzfp1nPn3v2KadNVu3og3fyeu4cPIvOpqDAYD2Td+meRLR+E7eICy556JaX/1H+yn6P9+S9Tvp/ftd5A2f2HM2hb6sjdVnJd1XD2fJFyix9I0jbJnn0YL+Mm69nrMbilAmkjMrhT6ffs7WHv3oXrtaipfeyUmSZD/1EkqXnoBo9OJ8u1vnTvD0WAy0edrd2HLHUTdu1upfH15h/sCqNuxneLHHgVNI+cb9yTsEUY9lbVPDgarVXYqJgBJuESPVffeO/gOHiBp5KWkTJEfUonI7HbT74HvYMnuRdWbK6l6Y0WH2ov6Gzj9tz+jhcP0/p87sGVlfuK60W6n7933YcnMouqNFdS+s6VD/VVveJvSf/wNo9VK3289gHP0mA61J7oeg8mErf8AAiXFRAMBvcMRcSQJl+iRwjU1VPzrRQw2e+NONVnrkrDMqWmNSVdmFpWvL6dy1RvtaqdxxPQZQmVlpC1chLPpyKfP9Od20/e++zEmJ1P27NPUH9jfrr7OrHiNiheWYXK56P+d75F0sdKuuEXXl6QMg0iEM8tf1TsUEUeScIkeJ1BYSMlfHiPq85H1xWuwZGToHZLQmSU9g34P/i/m9AwqX3uF0qf/Sbi2tk1t1G5tPK/RPngImUu/0Oy91t596Hv3fRhMJkr+8nirF0Rr4TD1Bz7g9F8eo+qNFViysuj/3R9g6z+gTbGK7iV98RVYe/ehZt0avPv26h2OiBNDvLZMt5FWUeGJeydZWS46ox+hj1BlJZUrXqVu23ugaTjHjafPnd+QbfPinGBFOSV/epRgSTFGu530JZ8jdd78Fg8ODhQWcuqXP8NgsTLwxz87l8S39Jni2Z3P6b8+jsnlYsBDP8SSmfWZe7RolIZjR/Hs2I53dz4Rb2N7tgED6XvPt+Tw8wRxoe8x0TV8+r2eleVq87SJJFyi24t4vVS9tZKa9Y0HSFv79iPri9eQNPJSmUoUn6FFItRu2cSZFa8R9XqxZGWR+aXrcI4dd97vl6jfz8mf/4RQaSk537wX55ix56615jOlev06Kl58Hkvv3gz47g8wOZ1omkbg5Ak8O7bjyd9JuLoaAJMrBdeECbgmXIZ98GD5x0KCqdm8ifLnnsY+eAj9H/wuBrPUJu8qOiXhUhRlMPBzYA/QD6hUVfVniqKkA78GPgKGAg+pqlrW9MyDQAqQBqxVVfX1FuKQhEu0WTQYpGb9OqreXEm0oQFzegaZS6/GNWmy/KASLYrU11O58nVqNrwNkQiOixWyrrsB+4CB5+7RNI3SJ/+OZ/s20uYvJOva6z/RRms/Uyr+/RLVa1ZjHzKUpGHD8OzcSai8DACjw4FzfB6uiZeRpAw7t+tRJB5N0zj9t7/gzd9J+uIryLz6i3qHJJp0VsI1AchRVXVF0+8/BG4G7gA2qKr6sqIoVwLXqKp6s6Iok4Afq6q6WFEUC/AhMEFV1ZpmupGES7SaFo1S9947VK54jXB1NcbkZDKWXIl79hw5GkO0WbC0lIp/v0T9+/vAYCBl6nQyl16N2Z1K7dbNlD3zFPaLLqL/dx76zIhDaz9TtGiU0if+imfXTgAMVivOMWMbk6wRI1uc0hSJI+LzcerhHxM6c4a+932b5BEj9Q5JoNOUoqIoh4GrgHXAFFVVC5tGu46pqpquKMrDQFBV1Yeb7n8d+EcLo1xdYl5TdH1V+bs58fSzNBQWYbRa6XPlEvpdvRSzM1nv0EQ3V7PvfQr++TS+k6cw2u30WXw5p1e+icFiYcwjv8PeK7tD7UdDIYqXv469Vy/SJ+ZhsttjFLnoaTxHj/HBd7+POTmZMX/4Pdb0NL1DEp8V34RLUZSlwCxVVe9VFCUA9FJVtUZRFDMQAizA48AhVVX/0PTMMmCTqqr/aKZpGeESLfLu30fJH/9wbhQi43NXYUlP1zss0YNokQi1WzdTufy1c4vXc75xN86x4897v3ymiHipfnstFS+9gGPYcPrd/6Ask9BZLEa4Wr0iT1GU2cBs4L6ml8oBF1BD43qtalVVw4qinH39rJSme4Vot0hDA+XPPQsmE/3/9yEcFw3WOyTRAxlMJlJnzcE1cRLVa9dgdrsvmGwJEU+pc+fjO3yI+n17qVr1BhlXfl7vkEQHtSplVhRlCbAQuBforSjKZGAVMLnplqlNvwdYefb1ppGvS4COlVsWCe/MK/8mXF1F+uIrJNkScWdKSibzqqtJnT1X71BEgjIYDPS+9XbM6elUvr4c3xFV75BEB7WYcCmKMh74F3AZsBFYASjAQ8B8RVF+AFwNPACgquoOYKOiKL8E/gTc38KCeSGa5TuiUrtpA9acHNIXX6F3OEII0SlMTid9vvp1MBg4/fe/EPbU6R2S6ACpwyW6tGgwyMmf/pBQeTn9v/t9HIOH6B2SEOfIZ4roDFVvruTMq/8haeQo+t5zn6zn0kEs1nDJ35ro0irfWEGorIzUufMl2RJCJKS0yxeTNGIkvgP7qV63Ru9wRDtJwiXiRtM0OjKC6j95guo1b2HOzGzx7DohhOipDEYjvW//Kia3mzOv/oeG48f0Dkm0gyRcIuY0TcO7by8nfvA9Tj38E0KVlW1vIxym7Ol/QjRKr5tvxWizxSFSIYToHswpKfS5406IRjn91z/Leq5uSBIuEVOBkhKK//B7Sh57lFB5GYFTJzn1i5/S8NHxNrVTvXY1gcJTpEyZJpWWhRACSBo2nIyrriZcXUXpE39Di0b1Dkm0gSRcIiYivnrKX3qBkz/9Ib6DB0gaMZKBP/0FWdffSMTjoei3vz53rElLgqWlVL6+HFNKClnXXBfnyIUQovtIX7SE5FGj8X14kMo3VugdjmgDOYpcdIgWjVL7zhYqX3uFiMeDJSuLrGtvIHn0GAwGA7acHKzZvTj9tz9z+m9/JlhWSvqSKzEYzr/BQ4tGKXvmn2jhMNk33IzJ6ezkr0gIIbqus+u5Tj78Y6reWIHjosEkXzoq7v1qkQh1775D6ExF48iaFkWLahCNokUjTf+PQtNrjqEX454xM+5xdSdSFkK0W8PRo5S/uIzAqZMYbDYyllxJ6vyF5z2IN1BcRPEfHyFcWYnrssn0uuV/zntfzaYNlC97FufY8fS565sXTMyE6ArkM0XoxX/yBIW/+jkGm42BP/wJlsysuPZX+cYKKle81voHDAYG/vQX2HJy4hdUJ+rUo32EOCtUVcWZV17Gs2M7AK7LJpP1xWswp174gFVb334MeOhHlDz+RzzbtxE6c4acb9yN2ZXysXYrOfOflzE6HGTfeJMkW0IIcQH2gblk33AzZc8+RclfHqf/dx/CaLHGpa+G48eofGMF5vR0et/+VQxmc2MtMKPx3P8xGDGYGn/tP3aU0iefoHLFq+R8/Ztxiak7koRLtEmgqJBTv/oFWsCPbWAu2Tfc1Or6WGa3m34P/C9lTz+JZ+cOCn/xMDn33Ictpy+aplG+7Fmifj+9brmt2eRNCCEEpEyfQcOxo9S99w4VL71Ar5tvjXkfkYYGSp/4G2gavb/yNZIuVlp8xpKZRc2G9Xh35+M/dRL7gIExj6s7kkXzotU0TaP8+efQAn6yrr+RAd//UZuLkRqtVnrfcSfpV36e0JkKCn/1c+oPHsCzcwf1+9/HMWw4KdNmxOkrEEKInsNgMJB9483Y+vendvMm6t57N+Z9VLywjNCZCtIXLWlVsnU2royrrgag8rVXYh5TdyUJl2g1z/ZtNBw9QvLYcaTNnd/u4yUMBgOZn19K7zu+hhYKUfzo/1G+7BkMViu9vnybTCUKIUQrGW02+tz5TYwOB2XLniFQWBiztut2bqdu27vYcgeR8bmr2vRs0iUjcFysUP/BfhqOHY1ZTN2ZJFyiVSINDVT8518YLBayr70+Jm2mTJpMvwf+F1NyMtGGBjKvuhprdnZM2hZCiERh7dWL3v9zB1owSMlfHiPi83W4zVDlGcqfewaDzUafO+7EYG7bCiSDwUDm0i8CcOa1Vzp06khPIQmXaJXK15cTqa0lffEVMd0N4xgylAE//Am977iT1HkLYtauEEIkEufYcaRdvphQeRllTz3ZoQRHi0Yp/cffiTY0kH39TVh79WpXO46hQ0kaOYoG9TC+Qx+2O56eQhIu0aJAcRE169dhycom7fJFMW/fkp5ByqTL2j1FKYQQAjKXfgGHMgzv3t1Ur13d7naq3lxJw9EjOMfnkTJ1Wgdj+u9arkQf5ZKfcKJZZxfKE42Sdf0Ncdt2LIQQomMMJhN9vnonJncqZ175N77Dh9rcRsNHx6l8fTnmtHR63Xxrh9fU2gfm4hyfh7/gI+rf39ehtro7SbhEszw7d9BwRCV59Bico8boHY4QQohmmN2p9Pna1wEoeuR3lD37FKHKylY9G/V/rATE7XfE7KSPjM8vBYOBM8tfTejzHyXhEhcU9TdQ8e+XMJjNZF13g97hCCGEaIWkixVyvnkPlqwsards5sT3/5ey558jXFPd7HPlL75AqKKctMsXkzRseMziseX0xXXZZIJFhXjyW3embk8kCZe4oMo3XidSU0PaoiVYs2T3oBBCdBfOUWPI/ekv6H37HZjT0qnduJ6C732H8n+9SLi29jP3e/J3UvfuVmwDc8n8/NKYx5PxuavAZKJyxXK0SCTm7XcHknCJ8wqUlFD99losmVmkL1qidzhCCCHayGAykTJ5KrkP/5Jet9yGyZVCzbo1FHzvQSr+8zIRrxdoPFat7NmnMVit7SoB0RrWrGzc06YTKiulblvsC7R2B3K0j/gMTdOoeHEZRCJkXXcDRqsslBdCiO7KYDbjnj6TlMlTqd26hcpVr1O9+k1qNm4gbf58Go4cIerz0evLt2Ht3TtucaQv+Rx1775D5esrcE2ajNFiafEZTdPw7t5F1ZurMKemkjJ1Os7RY+KSFMZb94tYxJ139y58hz4k+dJRJI+WhfJCCNETGMxmUmfPIWXqNGo3b6TqzVVUrXwDAOe48aRMj++xapb0dNyz51Kzbg21WzeTNmdes/cHT5dQ/sLz+A4dBIOBwKmT1O9/H5PThWvyFNxTp2Hr1z+uMceSJFziE6J+PxX/OrtQ/kY5ZkcIIXoYo9VK2vyFuGfMombDegKnTpB945c75fM+fdESardsomrVG7inTsdos33mnqjfT+XK16letwYiEZJGjiL7+hvRgkFq392KZ/s2atatoWbdGmy5g3BPnY5r0iRMSclxj78jDF2kEJlWUeGJeydZWS46o5/urOKVf1P91irSl1xJ5tIv6B2OEF2afKYI0XZnXnuFqlVvkPmFa0hftPjc643Th/lU/OtFwtVVmDMyyL7uBpLHjPtEMqiFw3jf30fdu1up/2A/aBoGsxnnuDxSpk0nadjwmBfS/vR7PSvL1ebsVEa4xDnB0tNUr12NOT2D9MVX6B2OEEKIHiht4eXUbFxP1epVuGfOwpSURLD0NOUvLMP34UEMZjPpV1xJ+qIrzjsCZjCbcY3PwzU+j3BNNXXb3qP2na14dm7Hs3M7ScNH0O/bD+rwlTVPEi4BNFWUf/H5xoXy115/3m9yIYQQoqNMScmkLVxEZdNIl8FkomrNW43ThyNGkn3DTVh7tW7xvjk1jfRFS0i7fDH+48eoe+8dTE5XnL+C9pGESwDg3bsH38EDJI0YiXPceL3DEUII0YOlzZ1PzdvrqF7zFgDm9AyyrrsB59hx7VpLZjAYcAwZimPI0FiHGjOScAk0TaPqjRVgMJB9vSyUF0IIEV9Gu53ML3yJ8heXkTZ3PulLruzxMyuScAkaDh8iUHgKZ95ErL376B2OEEKIBOCeNp2UqdMS5h/5UmleNG69BdIWLNQ5EiGEEIkkUZItkIQr4QVPl1C//33sg4fguGiw3uEIIYQQPZIkXAmu+u21gIxuCSGEEPEkCVcCi3g81L33LpbMLJxjZWeiEEIIES+ScCWwms0b0UIhUuctiHlVXiGEEEL8l/yU7ULCtTX4jqid0lc0FKJmw9sYHQ7c06Z1Sp9CCCFEopKEqwspe+Ypin7zK3yHPox7X56d24nU1eGeMQuj3RH3/oQQQohEJglXFxHxeKg/eACA8uefQwuH49aXpmlUr10DRiOpc+fFrR8hhBBCNJKEq4vw7NkNkQgmd+q5Q6TjxXfoQ4LFRbjyJmJJz4hbP0IIIYRoJAlXF+HZtQOAfvfdj8nlonLl64QqK+PSV/VaKXQqhBBCdCZJuLqAcG0NDeph7IOHYOs/gMwvXosWDFLxrxdi3legpBjfgf04hl6MPXdQzNsXQgghxGe1eJaioii9gZ8Do1VVndD02q3AnYC/6bYnVVV9runaTcBYIAIcV1X1b3GIu0fx7M4HTcM1YRIAKVOmUvfOFrx7dlN/YD/JI0fFrK8aKXQqhBBCdLrWjHBNA1YAnz7w6DpVVWc1/Xc22eoHPAA8oKrqd4CvKIoyNKYR90CenTvAYMCVNwFoPFsq+8abwWik/PllREPBmPQT9tQ1FjrNyiZ59NiYtCmEEEKIlrWYcKmq+h/Ac55L31QU5QFFUX6kKEp602sLgd2qqmpNv98GLIpNqD1TqKoS/7GjOC5WMKemnnvd1q8/qXPnE6oop3r1WzHpq3bTRrRwmNT5UuhUCCGE6EwtTilewGZglaqqFYqiLAb+DcwFsvlkclbX9FqLsrJc7QylbTqrn9YqfncjADlzZn4mtrT/uYk9+TupfmsVuYvnYe/du939RINBCjZtwJSczODPXY7JIbW3hIiFrvaZIoSIj46+19uVcKmqWvCx324AXlcUxQSUA0M+di0FONaaNisqzjeIFltZWa5O6actTm/cAkYjXDzyvLFlfPFaSp/4K4cf/zs5d9+HwfDpmd3Wqd26mVBtLWmXL6bKGwZv1/pzEKI76oqfKUKI2Pv0e709yVe75pUURfmVoihnk7WhQIGqqhFgDTBeUZSzWcFkIDbzYT1QsLycwIkCkoZfgsl1/r8818RJOIYNp37/+9S/v69d/WiaRvW6NWAykTp3fkdCFkIIIUQ7tJhwKYoyE7gZ6KMoyg8URXEApcBfFEV5CHio6TqqqhYBvwMeURTl98A/VFU9Grfouzlv/k6Ac7sTz8dgMJB9w81gMlH+4jKigUCb+/EdPECwpATXhIlY0tLaHa8QQggh2qfFKUVVVTfTuGbr4x5t5v5lwLIOxpUQ6nbuAJMJ57hxzd5ny8khbf5Cqle/SdWbK8lc+oU29VO9rqnQ6XwpBSGEEELoQbaq6SRQUkKwqJDkS0dhSkpu8f6MKz+POT2d6jVvESwtbX0/xUX4Dh7AoQzDPjC3AxELIYQQor0k4dLJ2aN8XBMmtup+o81G1rXXo4XDlL/wHJqmNXu/Fo0SKCnhzPJXARndEkIIIfTU3rIQogM0TcOzawcGqxVnGwqQOsflkTRiJL6DB/Du3oUrb+K59sJVlfgLCvCfKMBf8BGBkyeI+hsPArD2ySF51Oi4fC1CCCGEaJkkXDoIFhUSKi3FOT4Po93e6ucaF9DfxMkf/4CKf71I8PRp/AUf4S8oIOKp+/iNWHv3wZ47CPugQTjzJkqhUyGEEEJHknDpoG5n03TixAvvTrwQa6/ejbW0Vr5O5YrXADCnZ+Acn4c99yLsgwZhG5grhU2FEEKILkQSrk6maRreXTsx2OwkX9q+ab6MKz6HOS0dc2oq9txBmN3uGEcphBBCiFiShKuT+QsKCJ2pwDVpMkartV1tGMxmUmfOim1gQgghhIgbWdjTyby72j+dKIQQQojuSRKuTqRFo3jyd2JMSiJ5xEi9wxFCCCFEJ5GEqxM1HDtKuLoa57jxGMwymyuEEEIkCkm4OpFnV8tnJwohhBCi55GEq5NokQje/F2YnC6Shg3XOxwhhBBCdCJJuDpJwxGViKcOZ94EDCaT3uEIIYQQohNJwtVJ6nZuB1p/dqIQQggheg5JuDqBFg7j3bMbU2oqjqEX6x2OEEIIITqZJFydoP7Dg0Tr63HlTZAzDYUQQogEJD/9O4FXdicKIYQQCU0SrjjznzyBZ08+5owM7BcN1jscIYQQQuhAEq448p86SdHvf4sWDJL1hWswGAx6hySEEEIIHUjCFSeBwlMU/f43RBt89Lr1djk7UQghhEhgknDFQaCwkMLf/4aoz0evW/8H99RpeockhBBCCB1JwhVjgaLCxpEtr5det9yGe+p0vUMSQgghhM4k4YqhQHERRb/7DRGvpzHZmjZD75CEEEII0QVIwhUjgeJiin73/4h4PWR/+Vbc02fqHZIQQgghughJuGIgUNKUbHk8ZN98K6kzZukdkhBCCCG6EEm4OihQUtKUbNWRfdOXSZ05S++QhEtVM4oAACAASURBVBBCCNHFSMLVAcHTJRT97tdE6urIvvFmUmfN0TskIYQQQnRBknC1U+hMBYW/+w2RujqybriJ1Nlz9Q5JCCGEEF2UJFztoEWjlD75BJHaGrKuuZ60OfP0DkkIIYQQXZgkXO1Q8/Y6Go4ewTluPKnzF+gdjhBCCCG6OEm42ih4uoQzr/0Hk8tF9k23yPmIQgghhGiRJFxtoEUilP7zH2ihENk33YI5JUXvkIQQQgjRDUjC1QbVa97CX/ARrkmX4Rqfp3c4QgghhOgmJOFqpUBhIWdWvIbJnUr29TfpHY4QQgghuhFJuFpBC4cp/ecTEInQ65bbMDmdeockhBBCiG5EEq5WqFz1BoHCU6RMm4Fz1Gi9wxFCCCFENyMJVwv8JwqoWvUG5vQMsq69Xu9whBBCCNENScLVjGgo2DiVGI3S+7bbMTkceockhBBCiG5IEq5mVC5/jWBJCe7Zc0kafone4fRY/7+9+46P7Krv//+a3jSSZtTrSlpp72p7X/feGxiIIfCNwaaHJJSQfIEAMSUEAgS+v4RACNVgCJhmY4Mbxt3e3stRW/UyqqOpmnZ/f8ysvH1XuxqV1ef5eOgxM3fu3Dmj1T3z3nNPafO385NDv2Q8FpjtogghhBBZYZ7tAsxVkZZmRp96AktRMUVvuWe2i3PRiiQifG/fT/HHxukLDfCRte/HarLOdrGEEEKIaXXWwKVpWinwRWC1UmpjZpsd+BrQAzQAX1ZKNWWe+z/AWiAJtCql/jtLZc+a1MQE/T/4HgCl978Xo802yyW6eP2u5Q/4Y+MU2D10jHfxowM/5z0r/wqjQRpfhRBCXDzO5VvtCuAR4Ng1bD4CdCql/hX4BvB9AE3TKoGPAx9XSv0j8B5N0xqmt8jn5+VnHmfPo48SPnyIWF8vyXAYXddPue/Qrx8m7hvAc9PNOBrmRPEvSs2jrbzUu4VyVymf2vQxluQvZs/QAX7T8thsF00IIYSYVmdt4VJK/UrTtGtO2Hw78KnM8/s0TVutaVoucDOwQyl1NMm8CtwKNJ/tfYqK3FMp95TEY3HyfvUrggmd4DHbjVYrlvx8rJ789K3Xg9FqZezZZ3BUVrL0Pe/EaJXLW9kQS8T4xdbfYsDAhy69l6qCQj5Z8Nd85k9f489dL7GosIzbllw328UU4qyyWXcJIeaOCz3Xz7cPVzFwbA/n8cy2020/q8HB7HaY3nHNzUSGX8UVj1OWymGxsRBjMELS7yfQ0grJ5Os7G40UvfN+hv0TwERWy7VQPdL6R/qCPq6tuoL8VOHkv//7lr+Tr+74T36861dYE05WFy2f5ZIKcXpFRe6s111CiNl34rl+PuHrfAOXDzj23XIz23xA/QnbW87zPabVPXe/hc/+pIRg6Q6MHh92U5C/WHIXm0vXg66TCodJ+P0k/GOYcnKwVy+a7SJftLoCPTzT+TwFdg931t1y3HMFDi8fXHUf39z5HX544Gd8dN0HWJRbNUslFUIIIabH+fZMfhy4FEDTtJXAHqXUOPAksF7TtKP9vS4F/njBpZwGDpuZv3njZiaa15I7vBHQ+cmhX/LdfQ8STIQx5eRgq6jAtWz5GcOWrut0jHfxm5bH+MbOb/NSz2uk9NTMfZB5LplK8tDhX5HSU/yl9mZspxiRuCi3ivtXvINEKsG39/6Q4cjILJRUCCGEmD6G03UcP0rTtKuBe4FbgG8DX8889TWgj3SL1pdOGKW4gfQoxaZzHKWoz0SzfFGRm3/5/mu8dnCAN1xbwhHLizSPtZFjcfGXS9/MmqIVpy6crtMb6mfnwB62+/YwFBk+7vlFuVW8bcndVOdWZv0zzHdPdzzH71r/wObS9dy77K1n3Pe57pd5uOkRSp3F/P36v8Zpcc5QKYU4N3JJUYiF4RSXFA1n2P2Uzhq4ZsiMBa7WjmE+/T9biCdSfO7+DewP7uSR1j+SSCXYXLqev1hyFw5zekb5gfAgOwZ2s8O3l/7QAABWo4VVRctZV7yaipxSHm19gh2+PRgwcGXFJdxZd7MEg9PwhQf50tZvYDfZ+cwlH8d1Dr+nXzf/nme7XqQhv46/WfMezEaZOk7MHRK4hFgYJHBN0dFf2Cv7+/jeY4dYUevlo/espj/s48GD/0tnoAePLZ9Lytazf+gQXcFeAMxGMysKlrKueDUrChtPugx2eKSZXzY9wkDYR47Fxd31t7O5dD0Gw5T/PS5auq7z/3b9N81jbdy//B2sLzm3RcBTeorv7f8pewb3s6l0Hfc2vlV+r2LOkMAlxMIwHYHL9MADD0xnmc7XA+FwLOtv4nLZCIdjVBbl0No7zoEjI5R4nTRWlHJp2UYMBiMHhg/TPNZGKB5meYHGrbU38I6lb2Fz2XrKc0oxG00nHbfQUcDl5ZuwGa2o0WZ2De5DjbZQnVtJrlWGjAO80ruV53teYWXhMu6su/mcQ5PBYGBlYSNqtIUDw4cBWOJZnM2iCnHOjtYpQoiL24nnustl+9xUj7EgW7gABscifOb7W7CaTXzxvZvJdaZbrXqCffSHBljqXXJOl7xONBId5VfNv2fP4H6MBiNXV17G7bU34TDbp/WzzCdjE36+uOXr6Dp85pK/J9+WN+VjBGJBvrr9PxmOjvCOpW/hsvJNWSipEFMjLVxCLAzSwjVFxyZUl92C1WxkZ/MQ/uAE67X0dGG5VjflOaVYTZbzeg+H2cH6ktXU5FbR5u/g4LBiS992EqkkKT2Fy+JaUP2QdF3nJwd/QXewj7csuQvNU3/2F52CzWRlmXcJ23272enbS5GjkIqcsmkurRBTIy1cQiwM09HCtXC++U/hhg1VbDk0wKsHBrhkeSkr6wqm7djLC5by6U2LebrzOZ7q+DOPtj0BgAED5Tml1ORWUZNbTU1uNaWu4ot27cBdg/vYM3SA+vxaLr/AVqkSVzF/s+Y9/H+7vsuDh36B2WhmbfHKaSqpEEIIkT0L9pLiUZ0DAb7w4+3k59j4wns2YbdOfwYdjwVoGTtC+3gn7f4uOgPdxFPxyeftJhvVuVXU5FaxJH8xS70Nc7ZjeG+wnxd7XsNgMJBrzSHX6saduT16/2gLXige5gtbvkYkEeVTmz5KibNoWspwxN/Bf+z+H+KpBO9beS8rC5dNy3GFmCq5pCjEwiCjFKfodJXjr59v5fFXO7hxQxV/eUP2F6tOppL0hvppH+/kiL+T9vEuBsK+yecXuau4c/HNLPXMneA1Eh3l8ban2dK/A50z/804zQ5yrW5SegpfZIg31N3KTTXXTmt5WsaO8K3d3yOlp/jAqvtoLFgyrccX4lxI4BJiYZDANUWnqxzjiSSf/cE2fCNhPnXvehaXT71T94UKxyN0jHfxct9Wdvn2AtCQX8ddi2+hLq/mvI4ZTUxwaKQJi9GM5qnHch790oLxEE+2P8sLPa+SSCUod5VyR93NeO35jMeCjMcCBGKBzG2Q8YkA4/EggYkAoUSY2txqPrrug5hOMbrzQh0eaebbe3+YXgB79f00yOhFMcMkcAmxMEjgmqIzVY6qc5Sv/GwXlUUuPvuujZhNs9enqivQw+/bnpycBmFFwVLuqLuFKnf5WV8bS8bYP3yYnQN72D98ePLSpc1kZUVBI2uKV7LMq2E32854nIlkjD93vcjTHc8TTUbx2PK5s+5mNpauPef+ZolUApPBlNVWuv1Dh/juvgcxGU387Zr3nHc4FeJ8SOASYmGQwDVFZ6scf/zEYZ7f3cvdV9Vx52U1WS/P2bSMHeHR1ido9R8BYH3xam6vvZESV/Fx+8WScQ6OKHYO7GHf0EFimZBV4ixiXfEqYqk4u337GY6m1yS0GM00ejXWFK1gZWHjcTPjJ1NJXu7dyh/bn2E8FsBlcXJLzfVcWXEpljk6unL34H6+v/+nWI1W/m7te2WxazFjJHAJsTBI4Jqis1WO4Wicf/reFkKROP/0VxtYVDr7k5bqus6hkSZ+3/YEnYEeDBi4pGwDNy26hv6Qj52+vewdOsBEMj1ctdBRwPri1awvWU25q3SydUnXdbqDfewZ3Meuwf2TSxUZDUY0Tz1rilZgNVn5w5GnGYwMYzVZub7qSq6vvnpezCG2fWA3PzrwcxxmOx9e+34qz6E1UIgLJYFLiIVBAtcUnUvluLd1mG8+vIcSj4PPvmsjDtvcaNXRdZ09g/v5/ZGnJsPSUQV2D+uKV7OuZBVVORXndAmvP+Rj9+B+dg/uoyvQM7ndaDByRfkl3Fp7/bybJf+1vu385NAvybG4+Mi6D1DmKpntIomLnAQuIRYGCVxTdK6V48N/buGPWzq5ZFkJ771z2ZwZKQjptQW39e9ia/9OKnLKWF+ymmp35QWVcTgywu7B/fgnxrmi4hKKnYXTWOKZ9WLPa/yv+g15VjcfWfcBiqdpKgohTkUClxALgwSuKTrXyjGRTPGVh3bS2jvOfbcu5crVcnlqPvlz10v8qvlRLEYzywsaWVe86pSLjgtxoSRwCbEwTEfgmhvXy+YYs8nI++9azgM/3MZDTzdRV55LRVHObBdLnKNrq67AZrLyTOfz7B7cx+7BfViNFlYUNrKueDXLC5ae99JNQgghxPmQFq4z2KEG+dZv91Fe6OIz79yAzTL9c0mJ7NF1nd5QPzsH9rDDt4fByDAAVpOVVYXLWFe8mmXeJec1P5kQIC1cQiwUcklxis6ncnzo6Sb+tKObK1eVcd9tjVkqmTgXKV1nIpY8r4EM6VGavez07WXnwB6GMlNk2E02VhYuQ/PU0+Cpo8DunVN99sTcJoFLiIVBAtcUnU/lGE+k+NJPdtAxEOC9dy7j0uWlWSrdwhVPJGnp9uMPxwiE4wTCcYKROIHM46P3g5E4ug7La72865alFOSd33QVuq7TGehOhy/fXkaio5PP5dvyqM+vpT6/job8WkqcxRLAxGlJ4BJiYZDANUXnWzkOjIb53A+3oQP//K6NlHqdZ32NODetPX5+8IdD9A2HT7uPy27G7bSS47SQSKRo7w9gs5q459p6rl5TjvECApGu6/QE+2gZO0LzWBstY20E46HJ53Msrkz4qqM+v5bynNJznmlfXPwkcAmxMEjgmqILqRy3HBzgvx89QHVxDv9073osZunPdSFi8SS/e/EIT27rBB2uXF3GotJc3A4LbqeFHKcVt8OCy2HGZHw94Oi6zsv7+vn5n5qJTCRYWp3Pu25rpDjfMS3l0nWdgfDgZPhqGTvC2IR/8nmr0UKlu5wqdyXV7gqq3BWUOouzslakmPskcAmxMEjgmqILrRx/9MfDvLCnl+vWVfB/btKmsWQLS0u3n+//4RADI2GKPQ7uv62RJVX5UzrGaGCCnzyp2N0yhNVi5C1XL+a69ZUX1Np1KrquMxwdoXk0Hb46A930hQbQef28sRgtVOaUUeWuoMpdSZW7gnJXiYSwBUAClxALgwSuKbrQynEinuSLD26nZzDEX79xBRuWFp/9RWLSRDzJb19o4+ltXQDcuLGKu6+qO+/Rn7qu89rBAX72dBOhaIIllXncd1sjJVm+5BtLxugJ9tEV6KEz0ENXoIfeUD8pPTW5T4HdwwdW3Ud5jvT5u5hJ4BJiYZDANUXTUTn2DIX4wo+3YTIaeeC+jRRN06Wsi11z9xg/ePwQA6MRSjwO7r+9kYbKqbVqnY4/OMFPn2piR9MgVrORN11Vxw0bqjAaZ66zezwZpzfUT2eghzZ/O1v7d+Iw23nfyneyxLN4xsohZpYELiEWhukIXKYHHnhgOst0vh4Ih2NZfxOXy8aFvk+u00p+jo1th3209oyzcWkxFrN0oj6diXiSh//cyoNPKELRBDdtrOKDb1xBsWf6WqHsVjMblxZTXujiQPsoO5uHONA+QkNlHm7nzMwubzKayLflsSi3konBImIhBwN6K9v7d1HkLJSWrovUdNQpQoi578Rz3eWyfW6qx5AWrvOg6zrfe+wgrx4YwGQ00LjIw9qGQtY0FOFx26ahpPPfRDzJwfYRfvFsC77RCCVeJ+++rZH6yrysvu94OMbPnm5i6yEfZlO6teumjTPX2vXyvj6+//ghAIy5w9iX7EI3Jril8mbuaLhOppi4yEgLlxALg1xSnKLprBwn4kme2tbFDuWjcyA4ub22LJd1S9Lhq7zAuWC+YFO6TtdAkAPtIxw4MkJzt59EMoXBADdvrOaNV9ZincGZ+ncoHw8+qQiE49RX5vHuGejbtfVQeiSr02bmLdcsZn/bCHt62zDXb8dgncAdXsLt1beyQSs5r8lbxdwjgUuIhUEC1xRlq3Ic8kfY3TzEruYhVOcYqczvtMTjYG1DEWuXFLK4PG9G+xQlkil6h0K09wcwGKC8wEVZgQunffq+6EfGoxw4MsKB9hEOto8SjMQnn6sqzmF5rZfNjSUsKnVP23tOxXg4xk+famL7YR9Ws5E3X7OY67MwkhFgd8sQ3/rNPixmI//wl2upLcsFIBiJ88LBVp4c+jUJi5/kSAl0rmFdfSmXrSilscaDyWgkpetEJxKEownCEwkix9w/+tjrtlNXnktpgfOkz5DSU7SPd7Fv6CBJPckN1VeTa52d3/tCIoFLiIVBAtcUzUTlGIzE2dc6zM7mQfa3jTARTwKQ67SwJnPZcXmNZ1rn8UqldPqGQxzpC9DeP057f4DOgSCJZOqkffNyrJnw5aSswEV5gZOyQhd5Lutka5yu68TiKYKR+Ek/oUicseAEqmvsuMlK83OsLK/1srzGS2ONlzzXzPSdOhdbDw3w06eaCEbiLKnK5/7bp2/eLoCD7SN88+G9GA3wsbeuOeUUF+F4hG/t+hHtwSMYI15Ch9ZAworDlv47iEwkz/n9HDYzdeW5LCp1YPGOMEIHh8fUcRO22k127qi7iasqLpXpKbJIApcQC4MErima6coxnkhysH2UnU2D7GkZYjycbgGyWUysqPOytqGQVYsLyXGc++LJ4WicgdEI/cNh2vvTAatjIEAs/nq4MhkNVBS5qCnNpabUDQboGwrTNxyibzjE8PjEScd12sx43DZC0TjBSOKUYe1YNosJrTqf5TVeltV65/zlU38oxoNPHGZX8xA2i4m/uHYx16ytuODWrubuMb7+i92kUjoffstqltd6T7tvPJXgp4d+yfaB3XgsXhZFbqCtPYHVbMRhM+O0mXHazae8b7eZ8I1GONTbR1ugmZCtB2PuMAZj+t/JkLDh0atZkqeR70nx/MCfiSQilLtKuWfJG2nw1F3Q5xSnJoFLiIVBAtcUzWblmErptPWOs7N5kF1NgwyMRgAwGgxo1fmsbShkbUMRBXl2orEEAyMRBkbDDIxG8I2kbwdGwwTC8eOOazBARWEmXJW5qSnNparYdcYWtGgsQf9ImL6hML3DIfqG02HMH4zhtJvJcVjIcVrSt3bLcY9dDgtuh4XyQhdm0/wanXnivF2Nizzcd9tSCvPOr7WrvX+cr/58FxOxFB960wrWNhSd9TUpPcWjrU/wdOdzuC05fHD1fSzKrSKejBNORIkkIkQSkWPup2+D8RDNo610Bnomj+W1FJGXrCI2XEhPp2WylcxoMHDblaWEPPt4rW87ABtL1nJ3/e3k2XLP67OKU5PAJcTCIIFriuZK5ajrOn3DYXY1D7KzaYgjfeOTz+U4LMf1hTrKaDBQmG+nxOOkxOOgxOtkUYmbqpKc8544dKEaDUzw4ycOs7d1GJvVxFuvrefylWVTmt6jezDIVx7aSTia4H13LWfzspIpleH57ld4uOkRDAYDRoORRCpx1teYDCYa8utYWbiMlYWNFDheb01L6ToDI2Gau/088tIRRgMTLK/xcNM1uTze9RhdgR7sJhu3197I1ZWXy2XGaTLbdUoimWLYH6XI48hK30QhRJoErima7crxdEYDE+xuGWJX0yC+0QhF+XaKvU5KPE5KvQ5KPE4K8uzzrkVpLnt9TcYmIhNJHDYz6xoK2dhYwrIazxl/1wMjYb780E78oRj33bqUK1eXn1cZ9gwe4In2ZzAYjDjNDhxmOw6z44T7dhyW9OMyVwkO89lb4wLhGN9//BB7W4fJc1l59x1LGbU282jrE4QTEcpcJbx1yRtpkAlZL9hs1Sl9wyFe3NvHK/v6GA/H8bhtrGsoYr1WRENV3nHrj4oLo+s6w+NRugaCdPqCdA4EGBmf4IpVZVy77sK7JYj5QQLXFM3VwCVmz8h4lKe2dbHtsI/RQLpvm8tuZt2SIjY2FrO0+vjwNeSP8OWHdjIyPsHbb2jghg1Vs1X0M0rpOk9t7eLXz7eSSunccVkN120q4vH2J3mldxs6OhtK1nB99VVU5VTM6f53s6V/JEwqpVNe6DrtPjNZp0zEk2w/7OPFPb00dacXVM9xWFhSlY/qHCUUTbeSup0W1jYUsl4rpnHRmf/zII53dHR350CQTl+AroEgXb4g4YnjW6ANBtB10Kryue+2pdM6kbOYmyRwTZEELnE6KV2nrWecrYcH2H7Yx1gwPaNwjsPCeq2IjUuLKfU6+bef78I3GuHNV9dx+6U1s1voc9Da6+c7vzvA8HiUJVX5vP+u5YzrPn6hfkdHIL2mZamrhM0l69hYuhaPfXqWW5rPdF3nuV09/OyZZpIpncZFHm7cUMWq+oKTWjNmok7p6A/wwp5eXjvYP9lPb3mNhytXl7O2oQiL2UgimUJ1jbFDDbKzaZDxUPrv12Ezs6a+kPVaEStqvTM6F958Eo0l+N8/NfPyvn6Sqde/Ew1AsddJdXEO1SU5VBW7qS7JwQA8+KRiV/NQesqZqxdz/YbsTDkj5gYJXFMkgUuci5Su09LtZ9shH9uVD3/my+vo/2rvuGwRb7pq/lyOC0Xj/OgPh9nRNEiOw8J77mhkRZ2XfUOH2Nq/k/1DB0noSQwYaMivY1PpOtYUr8Rhts920WfcRCzJg08e5tUDA+Q4LFQWuTjcOQZAscfBDesruXxl2eTEtdmqUwLhGNsO+3hhT+/kxMoet40rVpZxxaqyM67hmkrptPT42a587GwaZCQzKtlmMVFfmUddWS615bnUleeSO0NLX81lHf0BvvPoAQZGwpR4nTRW51NV4qa6OIfKohxs1lOHVF3X2XrIx0NPp6ecqa/M4/7bGinN8gTLYnZI4JoiCVxiqlIpnaauMbYd9rGndYjNy0p4y9WL590lOF3XeXZnD794tplEUueWzdW86ao6zCYj4XiYnb69bO3fSau/HQCL0cLqouVsKl3HUk/Dguhk3z8S5lu/3UfPYIi68lw++IYVFOTZ6fIFeWZ7F68eGCCRTOGwmbhyVTnXr69kWUPxBdcpqZROz1CI1h4/rT1+WnrHGRhJz3FnNBhYXV/AVavLWVHnnXLfLF3Xae8PsF352NU0RP9I+LjnC/PSk+nWlqUDWHWJe8EMwtF1nWe2d/Pwcy0kkjo3b6rizVcvnvIl2PFQjJ8+nZ5g2WI2cveVM7ucmJgZErimSAKXWOg6+gN8+5H9+EYj1JXncvsli1hW6538kh2KjLCtfydb+3fiiwwB4LbksLZ4JasKl1PvqcNinLlliXyjYZyZqUmyafthHz/4wyGisSTXr6vkrdfXn/TFOx6O8fyuHp7d2YM/FMNggEtWlHH1qjIaKvPOOYSHonFae8ZpyQSsI33jRGOvT3zrsJmoK89j2SIPl60oJS9n+tZnDUbitPWOc6RvfPL22FHRRoOByiIXVcU55LtteNw2PDm2yfu5TmvWgsSQP8KvnmulZzBEQ1U+yxZ5aKzx4LJP/799IBzjB48fYk/rMG6nhXffvoxViwsu6JjbD/v4yVPp5cTqynO5/7bGM/b/E/OLBK4pksAlBEQmEjz4pGLLwQEArGYjy2u9rGkoZHV9IblOa7plZLyLrf072eHbTSiebhmxm2w0FmisKlzG8oKlJCZMHOoc5XDHKIc7xghG4iyr9bK2vpCViwumHJR0XafLF2S78rFDDdI3HMZmNXHX5TXcuKFq2juAJ5Ipfv18K09u7cJqMfKuW5ZyyfLSs75m2yEfT23voqM/XZ8UexzYrSZ0PX3ZWUcHncllvlI6oOskkukRb8cqK3CyuDyPxRW51FfkUVbomrG+QLquMzgWoe2YANbRf+pVKiAdyPJyrJNBrDDfzuUryqgszjnvMsTiSZ7Y0snjr3UQT6QwmwwkkunfmwGoKXOzrMbLskUe6ivzLniVjsMdo3z39wcYC8ZYVuPhPXcsI3+aQm0gHOOhp5vYesiH2WTkDVfUcMvmahk1OoNGAxPEk6lpXU0EJHBNmQQuIdJ0XedIX4CdTYPsah6cXKbJYICGijzWZNYALfE4SaaStPrb2Td0kN2+A4xMjGQOYiAZyCc1VkxytBg7uTht5smVDI4ea3V9IUtqneTk6ATjYYLxENFElEW5lZQ4iwE40hdgh0r3mRscSwcSi9nI8hovLT1+gpE4pV4nb7+xgRW1F9YScdRYcILv/G4/Td1+Sr1OPnT3CiqKzj046LrOUCjOL59WHGwfQdfBYDBgyHx2g8GQviV9H0M6sLwesPKoK8/NeuvdVCWSKYbHo4wFJhgNTDAaTN+OBWOT28aCE8d1Ll9ZV8Btl1SzpCr/nFv6dF1nd8sQP3+mmSF/lDyXlXuurWdjYzHt/QEOZtZobe3xT76XxWxkSWUey2q8NNZ4qCzKOecQnkyleOSldh5/pR2j0cDdV9Vxy+bqrITbnU2DPPikYjwUw2U3U5XpD1ZVnENVSQ7lBS4ZwDDNUimdp7Z18dsX28jPsfKVD1w2rcefE4FL07TXgKP/ZUsqpa7XNM0LfBloAxqATymlBs5wGAlcQsyi/pH0RLy7modo7fZztFaoKHSxpqGQeCLFoY5Run0BsIcweXyYPT4MrrF0ogBKnMXU5FYxGg4xGPQTmAgSJwrmOKf7TrPpOSTHCggNeUn5C7CZbaxeXMB6rZiVdV7sVjPBSJzfvdjGn3f1oOuwfkkRb72+/rxXCABQnaN8k3txLQAAHLpJREFU+5EDjIdibFhazH23Lp3sCD8VC7VOSek6wXCc1l4/T27pnJymorYsl9suqWZtQ9EZLz0OjIT52TPN7GsbxmQ0cMOGSu66vPaU/wbRWIKmLn8mgI3QPfj6mqEmo4FSr5OKIhcVhS4qi3KoKHJRmH/8RLDD/ij//fsDtHT7Kcyz8/67lrO4Im8afyMnC0bi/PaFNg62j+AbjXDsN63BAKVeZzqAZX6qS9zT1tK20HQPBvnhHw5xpC+A22nhvlsbWdNQOK3vMVcC1wNKqQdO2PYd4Fml1C81TbsTuEcp9VdnOIwELiHmCH8oxp6WIXY3D3GgfYR4In15yWwy0lCZx9LqfBoXeakpcxNKhDgwfIi9Qwc5PNJMPJXuD2TAgMvixGFyQsJCJGwiMA6JmAUSFgy6CXJGMOUNYzAffY2RutxFLC/UWFagUZFThtHweutF50CAh55uornbj8Vs5PZLFnHL5uoptRSMBiZ4ZX8fv33hCAYD/MW19dy4ofK8B0FInZLW0uPnj691sLt5CB0o8Tq5ZVMVl60oPe4SYDSW4LFXOnhqWyeJZHrKjbffuISKKfR18gcnONQxiuoao3swSM9g6Lg+cABWi5GKQhcVhTl4c208s72b8ESCjUuLeectGs4s9As7k4lYku6h9Jxe3b7M7WDwpEXrSzwOtGoPS6vz0ao9eNzzM4DFE0lSOlkfgJFIpnjslXYef7WDZErn0uUlvO36BtxZGH07VwLXr4GtgAPYppR6XNO0LuAypVRXprWrRSl1+lV9JXAJMSdNxJIc7hzFZjGxuCL3jP1nYskYoxN+XBYnTrPjuLAE6Ur4cOcYu5uHaOnxU1PqZp1WiMsbQo02cXCkiY7xrnT/J8BtzWGZV2NRbhUeWx759jzyrXnsbwry8HOt+EMxCvPs/OUNDaypLzwpNEVjCTr6A7T1pvsntfWNT05um59j5YNvXEFD5YXNOyZ1yvH6hkM8saWTVw/0k0jq5Lqs3LihkmvXVrD/yAi/eLaF0cAE3lwbb7uugfVa0QWP+D06E3zPYIieodBkCOsbDk32BbOajbz9xiVcuapszoww1nWdYX+UrkwAa+sbp7l77LgQNt8CWGQiwTPbu3hiaxfJZIorVpVx06bqae9PBdDWO84P/3iInsEQHreNe2/WWF0/va1ax5orgWuTUmqrpmkm4AXgk8DTQIlSakzTNDMQByxKqdMtGDcnOpIJIWbX+ESQfQOH2N13kN39B/FHx0/ax2I043Hkk4jYGBzUSU3YqfIUcuPq5ViiRTR3+WnqHKWzf5xjuhmR77ahVXvQFnm4cdMi8uf4l9d8NuyP8PsX2/jjq+2EowlMRgPJlI7ZZOTN19bzlusasJ/HJdypSCRT9A2F6BoIUFeRR2nB3B8xmEymaOv1s69lmH2tQxxoGyZyzCz3FUUultUW4LCbSaV0kik9fZvUSaZSpFLpvmpHt+e7bTTWeGms9VJW4Mpa2IzGEvzh5XZ+9WwzgXAMt9OK3WZicDSC0QCXriznTdfWs6TaMy3v9dATh3n0hVZSOtx6aQ3vumPZjLdaMtmZYgovmM5O85qmfRmIAO9BWriEEBcgpafoCfYzEPYxGh1jbMLP6IR/8v547ORzOekvIN7RiCWRS02pOzPBZ3qyT2+ubdq/cKROObNwNMHzu3t4cW8fZQVO7rmunhJZBuecJVMpOgeCqM4xDneO0tQ1dtLl03OV67JSX5FHfUUeDZV5LCp1X/Co33gixQt7ennslXb8oRgOm5lbNlVxw4YqLGYj25WPJ7Z0Tk7eu6Qqn1s2V7Nq8cmrNpyLwx2j/OiPh/GNRSjOd/CuW5eydNGFh7hzMestXJqmLQUuV0p9P/P418BvgCuRPlxCiCxKpBKMTYwzGh1jV3sXe4b3MGbsxoiRayov57a6G7M+W77UKWImJVMp+obCJFM6RqMBowGMRgMmoyFza5zcZjQaGByL0Nztp6XbT0uPf/KSOqT7ZNaWuamvzGNxeR5lBU4K8xxYzGcPYYlkilf29/Poy0cYGZ/AZjFx48ZKbt5UfdK8abquc6hjlCe2dLL/SHqEc1mBk5s3VXPp8tJTvl8imcIfjDEamGAkEGU0MEFHf4DXDg5gMMDNG6t5w5W1MzpJ71wIXOXAt4CdQC5gAT4G5ANfATqAxcAnZJSiECKbdF1n//AhHm56lOHoCHlWN2+sv52NJWuzdilF6hQxXxzt69bS7ae5x09rt5+uwSDHRgCDAQpy7ZR4HBR7nZR4nJR4HJR4nRTm2TEaDLx2sJ9HXjrC4FgUi9nIdesquPWSRee0TFSXL8iTWzvZcnCAZEonz2Xl0hWlxBOp9BQkgSgjgQnGg7FT9jOqKHJx362N1JXnTt8v5hzNeuCaRhK4hBDTIpaM86fO53my41niqQSL82q4Z8kbqXSXT/t7SZ0i5rPIRIK23nHa+8cZGI3gGwkzMBqZXD/2WEaDAYfNRCjTJ+/qNeXcfmnNeXXkHxmP8sz2bp7b3XPcJVKzyZCeVNdtx3t0pYOjj3NtVBWf+7xr000C1xRJ5SjEwjEcGeHXLY+xZ3A/BgxcWXEpd9bdhNMyfX2IpE4RF6PIRALfaISB0fDk7cBohNHxKMtqvNx5ec0FzYN3VDiaoK3Pj9thxZNrw+2wzJlRpCeSwDVFUjkKsfAcHFY83PwIvvAQORYXd9XdwlJvAw6zHbvZftL0FVORrTplKDLCaHQUi8mCxXj0x4zFZMFqtGA2mi+o3EKIqZHANUUSuIRYmBKpBH/ueok/tD9DLHn85RKbyYrD7MButuMw2XGY7ZNhzGVxkmt1k2vNydy6cVvdOMx2DAbDtNYpfaEBdvv2sWtwHz3BvrPubzaasRgtuC0urqu+ksvKNmEyynIxQmSDBK4pksAlxMI2NuHnua6X8cfGiSSiRDM/kUSUSDJ9m9JPvXDzscxGM7lWN15nHg6jkzxbLqXOYspcJZS5Ssi1us96aUTXdbqDfewe3Mdu3z76wz4ATAYTmreeancl8VSceDJBIhUnlooTTyWIJ+Pp7akE8VScwfAQsVScMlcJb6q/g2UF2rT8roQQr5PANUUSuIQQZ6LrOvFUPB3AElGC8RCBWJDxWCD9MxEgEA8wPpHZFg+QTJ08L5LD7KDMlQ5gpa4SypwllLqKybPl0jHePRmyhqLpYfIWo5llXo01xStZUdCI03Lu/WP8EwEeP/Ikr/RuQ0dnmVfj7vrbKc8pnbbfixALnQSuKZLAJYSYToWFOXT0+RiJjjEQGqAv7KM/NEBfaIDByPBJrWVmg4mEng5oNpOVFQWNrCleyTKvht18YTPf9wT7+HXz71GjLRgwcHnFZu6ovQm3NeeCjiuEkMA1ZRK4hBDT6Ux1SjyVYDA8RF9o4LgQVpFTxpqiFTR6l2AxTe9yJLquc2D4ML9peZyBsA+7ycbNNddxbeUV0/5eQiwkErimSAKXEGI6zdU6JZlK8lLvFh4/8hSheJgCu4c3LL6NdcWrZnzYfTKVpDfUj9fuwTWNU3IIMZMkcE3RXK0chRDz01yvU8LxME+0P8tz3S+T1JMUOwvZXLqBzaXr8Njzs/KesWScjvFOWsaO0DJ2hDZ/O7FUHIvRwuay9VxXeQUlruKsvLcQ2SKBa4rmeuUohJhf5kudMhge5vEjT7N7cC/xVAIDBjRPPZvL1rOmaAVW09mXZTmdaCLKEX8nLWNtNI+10THeNdlPDaDcVcqi3CqaRlsYjo4CsKKgkeuqrmSJZ/GcnehSiGNJ4Jqi+VI5CiHmh/lWp0QSEXYO7OW1/h20+dsBsJtsrC1exSVlG1icV3PaABRLxhmKDOMLD+ILDzEQGaQ32E93sHdycIABA5Xuchry66jPr2Vxfi05FheQvrS4d+ggz3a9QJu/A4CKnDKur7qK9SWrMRvN2f8FCHGeJHBN0XyrHIUQc9t8rlN84UG29O9kS98ORifGACi0e9lctp5qdyWDkWF84aF0wIoMMRodQz9hSWGjwcgidxX1+bU0eOqoy1uEw3z2KS2O+Dt4tutFdvn2oaOTZ3VzVeXlXFGxeTKgCTGXSOCaovlcOQoh5p6LoU5J6SmaR9t4rX87u337iKXiJ+2TZ82l2FlIsbOIYmchJc4iih2FFDi8F9QyNRwZ4bnul3mldxvRZBSL0cLqouWUOospcHgpdBRQ6PDituTIpUcxqyRwTdHFUDkKIeaOi61OiSai7B7cz9iEnyJHOmAVOQoueI6ws4kkorzat43nul6a7Od1LKvRkglgXgrtBZP3K3PKybflSRgTWSeBa4outspRCDG7pE6ZXik9xWBkmOHICEOREYai6fvDkREGIyNEk9GTXpNjcVHlrpj8qXZXUGD3njGERRIR+kID9AXT86P1hvrpCw0wkZyg2l1Jbd4ianKrqc2rJtfqzuZHFvPEdAQu6aUohBBiTjAajJQ4iyhxFp30nK7rhBMRhiLDDEdH8YUH6Qr00hXo4dBIE4dGmib3dZgdmQBWTlVOBfFUgr5MqOoLDTA24T/p+B5bPvm2fFrGjtA81ja5vcDuyYSvdAirdJdjkQ7+4jxIC5cQQpwnqVPmhlA8TFeg57gfX2TolPvm2/ImFxkvc5Vmbouxm+1AuvWrY7ybI/5O2sc7ODLeSSgenny92WCi0l1BZU4Z5TllVOSUUe4qndL6l2L+kUuKUySVoxBiOkmdMndFElG6A710B3uxGM2U55RS6iyZcjDSdZ3ByDDt452TIaw72HfSOpn5tjzKc0qpcJWlb3PKKHEWyXQXFwkJXFMklaMQYjpJnbIwxZNx+sOD9Ab76An10RvspzfYjz82ftx+RoORxXk1XFa+ibVFK2U9y3lM+nAJIYQQM8xisqT7h7nLj9sejIfoC/bTE+ynN9RHd6CP5swM/A+bH2FT6TouL99MeU7pLJVczCZp4RJCiPMkdYo4G194iFf7tvFq3zYCsSAAtbnVXFa+iXXFq7M+5YaYHnJJcYqkchRCTCepU8S5SqaS7Bs+xMu9Wzg03ISOjt1kY33JGi4v30S1u1LmE5vDJHBNkVSOQojpJHWKOB8j0VFe7d3Gq33bJ5dVKnEWUewsosDuwWv3TN567R5cFqeEsVkmfbiEEEKIecZr93B73U3cWnsDh0aaeLl3K4dGmhgID55yf6vJOhnCPLY8DAYjyVSChJ4kmUqSOPa+niCRSpJMJbCb7ZS4ijNzmxVT6izCY8/HaDDO8CcWIIFLCCGEmBVGg5HlBUtZXrAUXdcJJcKMREYZiY4yHD3+diQ6Sn9o4JyOazaaMRmMxJLx4yZxBbAYzRRnJpc9GsSKnYUU2L3ztiVtPBZIT1g72kbLWBvFzkLeu/Le2S7WSSRwCSGEELPMYDCQY3GRY3FRnVt5yn0iiQijUT8GgwGTwYTZaMJkMGMxmjAZzZgNJowG42RoiiVj+MJDDIQHGQj7MreDDIR89AT7Tjq+1WjBY/fgtefjtefjsb1+32v3kG/Lw2Q0ZfX3cC78E+Pp0Z+jrTSPHWEg7Jt8zmq00OBZPIulOz0JXEIIIcQ84DA7cOSc+8StVpOVSnc5lSdMX6HrOmMTfgbCg/SHfQyGhxiNjqVb0ibGjgswxzJgoNhZmJ5h31VGpbuMclcZXnv+tLaMxZNxwokIoXiYcCJCOB4mEA/S7u+iZaztuFUEbCYrjd4lNOTX0eBZTLW7Ys5ONjs3SyWEEEKIrDAYDHjs+Xjs+Sz1Npz0fDQxwdjEGCOZEDYaHWM4OsZwdIS+0AADvr3sYu/k/g6znfJMAEvPtF+G2+oikpggmogSTUaJJiYmbyPHbIskooQTYcLx1wNWPBU/bdntJjvLC5ZmAlYdVTkVc6LV7VxI4BJCCCHEJLvZRqm5hFJXyUnP6brO6MQYPcG+437a/O20+o+c93s6zA6cZgdlrmKcZidOiwOnxYnr6H2zk4qcUipzyudNwDqRBC4hhBBCnBODwTA5XcXKwmWT22PJGH2hAXqCfXQH+4gmotjNdhxmO3aTLX0/c2s/ZpvdbMNpdiyIkZMSuIQQQghxQawmK4tyq1iUWzXbRZmzLv5IKYQQQggxyyRwCSGEEEJkmQQuIYQQQogsk8AlhBBCCJFlEriEEEIIIbJMApcQQgghRJZJ4BJCCCGEyDIJXEIIIYQQWSaBSwghhBAiy7I207ymaTcAbwJ8gK6U+ly23ksIIYQQYi7LSguXpmlO4DvAR5VSDwCrNE27PhvvJYQQQggx12XrkuKlQIdSaiLz+GXg9iy9lxBCCCHEnJatS4rFQOCYx+OZbadVVOTOUlFm532EEAuD1ClCLAwXeq5nK3D5gGNLlpvZdjqGLJVDCCGEEGLWZeuS4qvAIk3TbJnHlwOPZ+m9hBBCCCHmNIOu61k5sKZpNwJvAQaBuIxSFEIIIcRClbXAJYQQQggh0rI2D1e2aJpmBH4PbAGswGLgfmACeC/wBeA6pdT+WStkFp1qfjNN0x4HXMfstgooV0pFZ6OM2aBpWinwRWC1UmrjCc+9A/gp4FZKBWejfNmiadpi0p97J1AJDCulPp85Dy7qv/czfPb1wCeA7cBm4KtKqVdnr6TT70zzGGqa9mngI0qpwtkqX7ac7jzXNO0e4F+BDyulHput8mXTqT67pmm1wNeAbcAa4GdKqUdnr5TT7wzn+QPANcfs+i9KqadnvoTTZ94FroxXlVJfBNA07RHSFdNB0iEsPJsFy6Zj5jdbrpSa0DTt15n5zR5USv0is08d8H8vprCVcQXwCOlKZ5KmaY3Aslkp0czwAv+rlHoEQNO0g5mAneIi/3vn9J/9i8B3lVK/1TTtbuDzwI2zWM5pdbrzXCn1J03TrgE8s1vCrDrpPM+EjkGga7YKNUNOVcf9I/CSUuobmqatBX4JXFSBi9Of5yilrpnNgk23eRe4lFIp0hUumqaZSSdipZTaldk2i6XLulPOb6aU+tgx+/wd8B8zXrIsU0r9KvNlMynzxfSPwPuBT81GubJNKbXthE1GIKSUOgwX99/76T47MAAUZbYVATtmslwz4JTnuaZp+4G3AV8G3jlbhcumU53nSqkjwBFN0/55dko1M0712bn4/9bPdJ6jado/kb56ZQL+Qyk1r/+DOW/XUtQ07WbgMeAxpdT22S7PDDnj/GaapuUC1Rfj5aXT+BfgC0qp2GwXZCZkWnOePBq2FpITPvungXs1Tfsa6eDx8KwWbvqd6jwvBb4EfHJWSiRmy78DmzVN+3fgs8APZ7k8WXXCef4w8E2l1NdInw/zviFh3gYupdSTSqlbgFpN0/56tsszQ842v9m7gR/MaIlmiaZpVaQvrdyjadonMps/pmnahlksVtZomnYtcC3w0dkuy0w7xWd/FPgHpdTHgQ8Af9A07WKay+9U53kpECfdmvtBwKFp2ic0TWuYhfKJmfMj4HuZqxh3A7/QNM07u0XKjhPPc6XUAaVUKPP0s8B1s1W26TLvLilqmrYMqFVKHZ3X6whQN4tFmkmT85tlLjdcDvwXTA4muBn45iyWb8YopbqAdx19rGnavwL/frF1mgfQNO124Ergw0CZpmmLLrZO4qdzqs8OVAF9mV36ANtpXj5fneo8/xel1J8ANE2rAd6tlPryLJZRzIxj/9ZHSffdnLcNJadzmvP8TUqpf8js0gC0zFb5psu8mxYiM6Lhq6RHNFiARtL9liaADwF/D/yE9GiO12arnNlyuvnNNE17I1CplPrP2SxftmiadjVwL3AL8G3g60qpiKZpRaT/1/+FzM9/K6V6Zq+k0yszIu950iPyID0a9VukO9de1H/vZ/jsfuAeYC/pARO/UUr9dlYKmSVnOM/rSbfqfZD0qL1vHNMKMO+d6jwHosA/kW7Bfwn4qVLqyVkrZJac5rOvBz5C+vuuFtihlPrOrBUyC85wnmuAk3SL70rgs0qpplkp5DSZd4FLCCGEEGK+ueiaJoUQQggh5hoJXEIIIYQQWSaBSwghhBAiyyRwCSGEEEJkmQQuIYQQQogsk8AlhBBCCJFlEriEEEIIIbJMApcQQgghRJZJ4BJCCCGEyDIJXEIIIYQQWSaBSwghhBAiyyRwCSGEEEJkmQQuIYQQQogsk8AlhBBCCJFlEriEEEIIIbJMApcQQgghRJaZZ7sA00nTtOuAvwOWAJ9QSj06y0USQsxTmqZtAv4NsAJPZTbbAbtS6iOn2P8dwH8qpTwzV0ohxPnSNO0q4PNALdCglIod89xXgL8CPquU+t50vN9F1cKllHoW+B1wUMKWEOJCKKW2As8BryilHlBKPQA8ADxzmv0fAvwzVT4hxIVRSr1A+hwfAN5zdLumaUXAJqB3usIWXGQtXCfSNO23wDagEnhZKfWQpml3At8AfgnkAuuAtyul2metoEKIOU/TNDPwZaXURzRN+zzp+jMJBJRS/3bMfu8DKoC1wIeVUkdmpcBCiHP1eeC/NE37vlJqAvgb4L+A/wugadr/AD1ADtCnlPq6pmmXAt8GdgBjpFvDliilxk73JhdVC9cp/Egp9SXgb4F/BlBK/R54CehQSv0N8FvgzbNXRCHEHHetpmnfBL4OoGnazcAlSqlPKaU+A9ymadqaY/Z/Vin1z8BDpC9JCiHmtv3Aq8D7NE0rIf0fqcFjnn8s08r9ceCvNE1zK6VeJX1FbVgp9ffADUDoTG9y0bZwZf43ukzTtHVABCg6YZemzO0gUDODRRNCzC9/Vkp9XNM0A9AAvAFwapr2iczzXRxfv7RlbluA5TNXTCHEBfgc8CRQDXwFWHHMc2Wapn0JGCd9ZawACGSeOwSglNp7tje4aAMXcDtwo1LqOgBN0/72hOf1mS+SEGK+UkrpQJOmaXuAS5VSX4bJwTotx+xal3m8BDg44wUVQkyZUuqgpmkvADGl1JCmaQBomrYa+EelVF3m8V0nvPScs4RB1y+u3KFp2rtIh60Pke6ntQ/oBj4JfIx00+F3gF3Ap4H/BDzA+5RSLac4pBBiAdI0bQOvj1L8f0qph4957tOAC0iQHrn4CeBtpOuTLwP5wGrgb5VSrTNcdCHEOTjmHN8JfFIpFc9sLyJ9Ht8C/CPwdqAPOEy6i9KPgZ+SzhKjwL8qpbaf7f0umsCladoNSqlnNE37CLBYKXVii5YQQgghxKy4mC4pfkjTtOuBZWRGFgghhBBCzAUXTQuXEEIIIcRcdbFPCyGEEEIIMevm9SVFTdMWA18k3eGtkvR8GJ/XNM1LusNbG+lh3J9SSg1kXrMe+HdgW2ZOjaPHuoF0p9dmYCnwMaXU6Ex+HiGEEEJcnOZ7C5cX+F+l1FeVUh8G3pYJVF8CnskM2/4d8LVjXrMSeP7Yg2iaZgJ+DvxfpdRXSAe4B2ag/EIIIYRYAOZ14FJKbVNKPXLMJiPpmV5vJz1rLMDLmcdHX/MjIHXCobykF6QdzjxuA67PRpmFEEIIsfDM68B1LE3T7gaeVEodBop5fRbYccCTmXn+lJRSg0CPpmlHZ4XeRHo2WSGEEEKICzav+3AdpWnatcC1wEcym3yAm/SCkrnAqFIqcZbD3Aa8V9O0PtIhrTNLxRVCCCHEAjPvA5emabcDVwIfJr3e0SLgceBS0mucXZ55fDa5SqlPZo75PuAn2SmxEEIIIRaaeT0PV6aD/PPA0Sn1XcC3gEdJLz7ZASwGPnHMKMV7gXeRXq7jQaXUdzPbv016mY4OwAL8m1IqOWMfRgghhBAXrXkduIQQQggh5oOLptO8EEIIIcRcJYFLCCGEECLLJHAJIYQQQmSZBC4hhBBCiCyTwCWEEEIIkWUSuIQQQgghskwClxBCCCFElv3/y6vbYXmNsWwAAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df[::100000].plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch09/io_07.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Storage" + ] + }, + { + "cell_type": "code", + "execution_count": 216, + "metadata": {}, + "outputs": [], + "source": [ + "import tstables as tstab" + ] + }, + { + "cell_type": "code", + "execution_count": 217, + "metadata": {}, + "outputs": [], + "source": [ + "class ts_desc(tb.IsDescription):\n", + " timestamp = tb.Int64Col(pos=0) \n", + " ts1 = tb.Float64Col(pos=1) \n", + " ts2 = tb.Float64Col(pos=2) \n", + " ts3 = tb.Float64Col(pos=3) " + ] + }, + { + "cell_type": "code", + "execution_count": 218, + "metadata": {}, + "outputs": [], + "source": [ + "h5 = tb.open_file(path + 'tstab.h5', 'w') " + ] + }, + { + "cell_type": "code", + "execution_count": 219, + "metadata": {}, + "outputs": [], + "source": [ + "ts = h5.create_ts('/', 'ts', ts_desc) " + ] + }, + { + "cell_type": "code", + "execution_count": 220, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.51 s, sys: 379 ms, total: 2.89 s\n", + "Wall time: 1.11 s\n" + ] + } + ], + "source": [ + "%time ts.append(df) " + ] + }, + { + "cell_type": "code", + "execution_count": 221, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tstables.tstable.TsTable" + ] + }, + "execution_count": 221, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(ts)" + ] + }, + { + "cell_type": "code", + "execution_count": 222, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "total 320416\r\n", + "-rw-r--r-- 1 503 20 157037368 Dec 1 12:20 tstab.h5\r\n" + ] + } + ], + "source": [ + "ls -n $path" + ] + }, + { + "cell_type": "code", + "execution_count": 223, + "metadata": {}, + "outputs": [], + "source": [ + "read_start_dt = dt.datetime(2019, 2, 1, 0, 0) \n", + "read_end_dt = dt.datetime(2019, 2, 5, 23, 59) #<2>" + ] + }, + { + "cell_type": "code", + "execution_count": 224, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 326 ms, sys: 61.1 ms, total: 387 ms\n", + "Wall time: 103 ms\n" + ] + } + ], + "source": [ + "%time rows = ts.read_range(read_start_dt, read_end_dt) " + ] + }, + { + "cell_type": "code", + "execution_count": 225, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 431941 entries, 2019-02-01 00:00:00 to 2019-02-05 23:59:00\n", + "Data columns (total 3 columns):\n", + "ts1 431941 non-null float64\n", + "ts2 431941 non-null float64\n", + "ts3 431941 non-null float64\n", + "dtypes: float64(3)\n", + "memory usage: 13.2 MB\n" + ] + } + ], + "source": [ + "rows.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 226, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "(rows[::500] / rows.iloc[0]).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch09/io_08.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 229, + "metadata": {}, + "outputs": [], + "source": [ + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 230, + "metadata": {}, + "outputs": [], + "source": [ + "h5 = tb.open_file(path + 'tstab.h5', 'r')" + ] + }, + { + "cell_type": "code", + "execution_count": 231, + "metadata": {}, + "outputs": [], + "source": [ + "ts = h5.root.ts._f_get_timeseries() " + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 13.3 s, sys: 645 ms, total: 14 s\n", + "Wall time: 3.52 s\n" + ] + } + ], + "source": [ + "%%time\n", + "for _ in range(100): \n", + " d = random.randint(1, 24) \n", + " read_start_dt = dt.datetime(2019, 2, d, 0, 0, 0)\n", + " read_end_dt = dt.datetime(2019, 2, d + 3, 23, 59, 59)\n", + " rows = ts.read_range(read_start_dt, read_end_dt)" + ] + }, + { + "cell_type": "code", + "execution_count": 233, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 334400 entries, 2019-02-24 00:00:00 to 2019-02-27 20:53:19\n", + "Data columns (total 3 columns):\n", + "ts1 334400 non-null float64\n", + "ts2 334400 non-null float64\n", + "ts3 334400 non-null float64\n", + "dtypes: float64(3)\n", + "memory usage: 10.2 MB\n" + ] + } + ], + "source": [ + "rows.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 234, + "metadata": {}, + "outputs": [], + "source": [ + "!rm $path/tstab.h5" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch10/10_performance_python.ipynb b/code/ch10/10_performance_python.ipynb new file mode 100644 index 0000000..90dc139 --- /dev/null +++ b/code/ch10/10_performance_python.ipynb @@ -0,0 +1,6342 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Performance Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loops" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def average_py(n):\n", + " s = 0 \n", + " for i in range(n):\n", + " s += random.random() \n", + " return s / n " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "n = 10000000 " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.1 s, sys: 6.25 ms, total: 1.1 s\n", + "Wall time: 1.1 s\n" + ] + }, + { + "data": { + "text/plain": [ + "0.4999986823484931" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time average_py(n) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "992 ms ± 17 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit average_py(n) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.22 s, sys: 158 ms, total: 1.38 s\n", + "Wall time: 1.38 s\n" + ] + }, + { + "data": { + "text/plain": [ + "0.5000525540381814" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time sum([random.random() for _ in range(n)]) / n " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### NumPy " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def average_np(n):\n", + " s = np.random.random(n) \n", + " return s.mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 143 ms, sys: 34.8 ms, total: 178 ms\n", + "Wall time: 178 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "0.5001596021926673" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time average_np(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "115 ms ± 2.54 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit average_np(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "80000000" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s = np.random.random(n)\n", + "s.nbytes " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numba" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import numba" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "average_nb = numba.jit(average_py) " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 187 ms, sys: 23 ms, total: 210 ms\n", + 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+       "/* … */\n",
+       "  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_46_cython_magic_9c63ce5f435876be5d32cdf4e9fd91e7_1average_cy2, NULL, __pyx_n_s_cython_magic_9c63ce5f435876be5d); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 4, __pyx_L1_error)\n",
+       "  __Pyx_GOTREF(__pyx_t_1);\n",
+       "  if (PyDict_SetItem(__pyx_d, __pyx_n_s_average_cy2, __pyx_t_1) < 0) __PYX_ERR(0, 4, __pyx_L1_error)\n",
+       "  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;\n",
+       "
 5:     cdef int i
\n", + "
+6:     cdef float s = 0
\n", + "
  __pyx_v_s = 0.0;\n",
+       "
+7:     for i in range(n):
\n", + "
  __pyx_t_1 = __pyx_v_n;\n",
+       "  __pyx_t_2 = __pyx_t_1;\n",
+       "  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {\n",
+       "    __pyx_v_i = __pyx_t_3;\n",
+       "
+8:         s += rand() / INT_MAX
\n", + "
    __pyx_t_4 = rand();\n",
+       "    if (unlikely(INT_MAX == 0)) {\n",
+       "      PyErr_SetString(PyExc_ZeroDivisionError, \"float division\");\n",
+       "      __PYX_ERR(0, 8, __pyx_L1_error)\n",
+       "    }\n",
+       "    __pyx_v_s = (__pyx_v_s + (((double)__pyx_t_4) / ((double)INT_MAX)));\n",
+       "  }\n",
+       "
+9:     return s / n
\n", + "
  __Pyx_XDECREF(__pyx_r);\n",
+       "  if (unlikely(__pyx_v_n == 0)) {\n",
+       "    PyErr_SetString(PyExc_ZeroDivisionError, \"float division\");\n",
+       "    __PYX_ERR(0, 9, __pyx_L1_error)\n",
+       "  }\n",
+       "  __pyx_t_5 = PyFloat_FromDouble((__pyx_v_s / ((float)__pyx_v_n))); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 9, __pyx_L1_error)\n",
+       "  __Pyx_GOTREF(__pyx_t_5);\n",
+       "  __pyx_r = __pyx_t_5;\n",
+       "  __pyx_t_5 = 0;\n",
+       "  goto __pyx_L0;\n",
+       "
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%%cython -a\n", + "from libc.stdlib cimport rand \n", + "cdef extern from 'limits.h': \n", + " int INT_MAX \n", + "def average_cy2(int n):\n", + " cdef int i\n", + " cdef float s = 0\n", + " for i in range(n):\n", + " s += rand() / INT_MAX \n", + " return s / n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 62 ms, sys: 315 µs, total: 62.4 ms\n", + "Wall time: 62.2 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "0.500017523765564" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time average_cy2(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "59.3 ms ± 1.05 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit average_cy2(n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prime Numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Pure Python" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "def is_prime(I):\n", + " if I % 2 == 0: return False \n", + " for i in range(3, int(I ** 0.5) + 1, 2): \n", + " if I % i == 0: return False \n", + " return True " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100000003" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = int(1e8 + 3) \n", + "n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 27 µs, sys: 1 µs, total: 28 µs\n", + "Wall time: 29.8 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "100000007" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "p1 = int(1e8 + 7) \n", + "p1" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 345 µs, sys: 0 ns, total: 345 µs\n", + "Wall time: 349 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime(p1)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "p2 = 100109100129162907 " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "57" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "p2.bit_length() " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 16.7 s, sys: 21.8 ms, total: 16.7 s\n", + "Wall time: 16.8 s\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime(p2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numba" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "is_prime_nb = numba.jit(is_prime)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 71.9 ms, sys: 5.55 ms, total: 77.4 ms\n", + "Wall time: 78.2 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_nb(n) " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7 µs, sys: 1 µs, total: 8 µs\n", + "Wall time: 11 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_nb(n) " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 28 µs, sys: 0 ns, total: 28 µs\n", + "Wall time: 31.9 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_nb(p1)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.5 s, sys: 7.02 ms, total: 1.5 s\n", + "Wall time: 1.5 s\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_nb(p2) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cython" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "def is_prime_cy1(I):\n", + " if I % 2 == 0: return False\n", + " for i in range(3, int(I ** 0.5) + 1, 2):\n", + " if I % i == 0: return False\n", + " return True" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "345 µs ± 2.91 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit is_prime(p1)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "207 µs ± 2.86 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit is_prime_cy1(p1)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "def is_prime_cy2(long I): \n", + " cdef long i \n", + " if I % 2 == 0: return False\n", + " for i in range(3, int(I ** 0.5) + 1, 2):\n", + " if I % i == 0: return False\n", + " return True" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "44.6 µs ± 1.72 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" + ] + } + ], + "source": [ + "%timeit is_prime_cy2(p1)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.55 s, sys: 11.3 ms, total: 1.57 s\n", + "Wall time: 1.56 s\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_nb(p2)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.42 s, sys: 8.89 ms, total: 1.43 s\n", + "Wall time: 1.42 s\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time is_prime_cy2(p2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Multiprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "import multiprocessing as mp" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "pool = mp.Pool(processes=4) " + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.3 ms, sys: 1.74 ms, total: 3.04 ms\n", + "Wall time: 4.09 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "[True, True, True, True, True, True, True, True, True, True]" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time pool.map(is_prime, 10 * [p1]) " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 9.26 ms, sys: 6.19 ms, total: 15.5 ms\n", + "Wall time: 5.53 s\n" + ] + }, + { + "data": { + "text/plain": [ + "[True, True, True, True, True, True, True, True, True, True]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time pool.map(is_prime_nb, 10 * [p2]) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 4.08 ms, sys: 2 ms, total: 6.07 ms\n", + "Wall time: 4.53 s\n" + ] + }, + { + "data": { + "text/plain": [ + "[True, True, True, True, True, True, True, True, True, True]" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time pool.map(is_prime_cy2, 10 * [p2]) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fibonacci Numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Recursive Algorithm" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "def fib_rec_py1(n):\n", + " if n < 2:\n", + " return n\n", + " else:\n", + " return fib_rec_py1(n - 1) + fib_rec_py1(n - 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3.72 s, sys: 10.9 ms, total: 3.73 s\n", + "Wall time: 3.74 s\n" + ] + }, + { + "data": { + "text/plain": [ + "9227465" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_rec_py1(35)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "fib_rec_nb = numba.jit(fib_rec_py1)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3.76 s, sys: 33.3 ms, total: 3.79 s\n", + "Wall time: 3.8 s\n" + ] + }, + { + "data": { + "text/plain": [ + "9227465" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_rec_nb(35)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "def fib_rec_cy(int n):\n", + " if n < 2:\n", + " return n\n", + " else:\n", + " return fib_rec_cy(n - 1) + fib_rec_cy(n - 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 671 ms, sys: 5.86 ms, total: 676 ms\n", + "Wall time: 670 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "9227465" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_rec_cy(35)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import lru_cache as cache" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "@cache(maxsize=None) \n", + "def fib_rec_py2(n):\n", + " if n < 2:\n", + " return n\n", + " else:\n", + " return fib_rec_py2(n - 1) + fib_rec_py2(n - 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 46 µs, sys: 24 µs, total: 70 µs\n", + "Wall time: 73 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "9227465" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_rec_py2(35) " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 37 µs, sys: 6 µs, total: 43 µs\n", + "Wall time: 47.2 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "23416728348467685" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_rec_py2(80) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Iterative Algorithm " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "def fib_it_py(n):\n", + " x, y = 0, 1\n", + " for i in range(1, n + 1):\n", + " x, y = y, x + y\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 12 µs, sys: 5 µs, total: 17 µs\n", + "Wall time: 19.8 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "23416728348467685" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_it_py(80)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "fib_it_nb = numba.jit(fib_it_py)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 44 ms, sys: 5.24 ms, total: 49.3 ms\n", + "Wall time: 48.7 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "23416728348467685" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_it_nb(80)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5 µs, sys: 1e+03 ns, total: 6 µs\n", + "Wall time: 7.87 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "23416728348467685" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_it_nb(80)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "def fib_it_cy1(int n):\n", + " cdef long i\n", + " cdef long x = 0, y = 1\n", + " for i in range(1, n + 1):\n", + " x, y = y, x + y\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3 µs, sys: 1e+03 ns, total: 4 µs\n", + "Wall time: 7.15 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "23416728348467685" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time fib_it_cy1(80)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "9969216677189303386214405760200\n", + "CPU times: user 112 µs, sys: 42 µs, total: 154 µs\n", + "Wall time: 149 µs\n" + ] + } + ], + "source": [ + "%%time\n", + "fn = fib_rec_py2(150) \n", + "print(fn) " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "103" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fn.bit_length() " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6792540214324356296\n", + "CPU times: user 39 µs, sys: 7 µs, total: 46 µs\n", + "Wall time: 45.1 µs\n" + ] + } + ], + "source": [ + "%%time \n", + "fn = fib_it_nb(150) \n", + "print(fn) " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "63" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fn.bit_length() " + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6792540214324356296\n", + "CPU times: user 45 µs, sys: 19 µs, total: 64 µs\n", + "Wall time: 56 µs\n" + ] + } + ], + "source": [ + "%%time\n", + "fn = fib_it_cy1(150) \n", + "print(fn) " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "63" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fn.bit_length() " + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "cdef extern from *:\n", + " ctypedef int int128 '__int128_t' \n", + "def fib_it_cy2(int n):\n", + " cdef int128 i \n", + " cdef int128 x = 0, y = 1 \n", + " for i in range(1, n + 1):\n", + " x, y = y, x + y\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "9969216677189303386214405760200\n", + "CPU times: user 51 µs, sys: 21 µs, total: 72 µs\n", + "Wall time: 67 µs\n" + ] + } + ], + "source": [ + "%%time\n", + "fn = fib_it_cy2(150) \n", + "print(fn) " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "103" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fn.bit_length() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Number Pi" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The code example is taken from [StackExchange](https://codereview.stackexchange.com/questions/69370/monte-carlo-pi-calculation)." + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "import numpy as np\n", + "from pylab import mpl, plt\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "rn = [(random.random() * 2 - 1, random.random() * 2 - 1)\n", + " for _ in range(500)]" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.53703897, -0.76309537],\n", + " [-0.8172364 , 0.17231555],\n", + " [ 0.35921789, 0.48845774],\n", + " [-0.85126377, 0.73021135],\n", + " [ 0.92217276, -0.45470297]])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rn = np.array(rn)\n", + "rn[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-1.1, 1.1)" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(7, 7))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "circ = plt.Circle((0, 0), radius=1, edgecolor='g', lw=2.0,\n", + " facecolor='None') \n", + "box = plt.Rectangle((-1, -1), 2, 2, edgecolor='b', alpha=0.3) \n", + "ax.add_patch(circ) \n", + "ax.add_patch(box) \n", + "plt.plot(rn[:, 0], rn[:, 1], 'r.') \n", + "plt.ylim(-1.1, 1.1)\n", + "plt.xlim(-1.1, 1.1)\n", + "# plt.savefig('../../images/ch10/perf_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "n = int(1e7)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 369 ms, sys: 65.6 ms, total: 435 ms\n", + "Wall time: 414 ms\n" + ] + } + ], + "source": [ + "%time rn = np.random.random((n, 2)) * 2 - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "160000000" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rn.nbytes" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 850 ms, sys: 305 ms, total: 1.15 s\n", + "Wall time: 696 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array([0.946, 0.319, 0.708, 0.739, 1.266, 0.617, 0.995, 0.537])" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time distance = np.sqrt((rn ** 2).sum(axis=1)) \n", + "distance[:8].round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 88.6 ms, sys: 5.19 ms, total: 93.8 ms\n", + "Wall time: 25 ms\n" + ] + } + ], + "source": [ + "%time frac = (distance <= 1.0).sum() / len(distance) " + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.141768" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pi_mcs = frac * 4 \n", + "pi_mcs " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "def mcs_pi_py(n):\n", + " circle = 0\n", + " for _ in range(n):\n", + " x, y = random.random(), random.random()\n", + " if (x ** 2 + y ** 2) ** 0.5 <= 1:\n", + " circle += 1\n", + " return (4 * circle) / n" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 4.88 s, sys: 23.3 ms, total: 4.91 s\n", + "Wall time: 4.56 s\n" + ] + }, + { + "data": { + "text/plain": [ + "3.142974" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time mcs_pi_py(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "mcs_pi_nb = numba.jit(mcs_pi_py)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 341 ms, sys: 10.5 ms, total: 351 ms\n", + "Wall time: 356 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "3.1418196" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time mcs_pi_nb(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 162 ms, sys: 1.43 ms, total: 163 ms\n", + "Wall time: 162 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "3.140844" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time mcs_pi_nb(n)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + " \n", + " Cython: _cython_magic_5becc8af26d5a48aee95fde3029f1578.pyx\n", + " \n", + "\n", + "\n", + "

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+1: import random
\n", + "
  __pyx_t_1 = __Pyx_Import(__pyx_n_s_random, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)\n",
+       "  __Pyx_GOTREF(__pyx_t_1);\n",
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+       "
+2: def mcs_pi_cy1(int n):
\n", + "
/* Python wrapper */\n",
+       "static PyObject *__pyx_pw_46_cython_magic_5becc8af26d5a48aee95fde3029f1578_1mcs_pi_cy1(PyObject *__pyx_self, PyObject *__pyx_arg_n); /*proto*/\n",
+       "static PyMethodDef __pyx_mdef_46_cython_magic_5becc8af26d5a48aee95fde3029f1578_1mcs_pi_cy1 = {\"mcs_pi_cy1\", (PyCFunction)__pyx_pw_46_cython_magic_5becc8af26d5a48aee95fde3029f1578_1mcs_pi_cy1, METH_O, 0};\n",
+       "static PyObject *__pyx_pw_46_cython_magic_5becc8af26d5a48aee95fde3029f1578_1mcs_pi_cy1(PyObject *__pyx_self, PyObject *__pyx_arg_n) {\n",
+       "  int __pyx_v_n;\n",
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+       "  __Pyx_RefNannySetupContext(\"mcs_pi_cy1 (wrapper)\", 0);\n",
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+       "  }\n",
+       "  goto __pyx_L4_argument_unpacking_done;\n",
+       "  __pyx_L3_error:;\n",
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+       "  __Pyx_RefNannyFinishContext();\n",
+       "  return NULL;\n",
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+       "\n",
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+       "\n",
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+       "  CYTHON_UNUSED int __pyx_v_i;\n",
+       "  int __pyx_v_circle;\n",
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+       "/* … */\n",
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" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%%cython -a\n", + "from libc.stdlib cimport rand\n", + "cdef extern from 'limits.h':\n", + " int INT_MAX\n", + "def mcs_pi_cy2(int n):\n", + " cdef int i, circle = 0\n", + " cdef float x, y\n", + " for i in range(n):\n", + " x, y = rand() / INT_MAX, rand() / INT_MAX\n", + " if (x ** 2 + y ** 2) ** 0.5 <= 1:\n", + " circle += 1\n", + " return (4 * circle) / n" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 130 ms, sys: 1.41 ms, total: 132 ms\n", + "Wall time: 132 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "3.1419388" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time mcs_pi_cy2(n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Binomial Trees" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "S0 = 36. \n", + "T = 1.0 \n", + "r = 0.06 \n", + "sigma = 0.2 " + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "def simulate_tree(M):\n", + " dt = T / M \n", + " u = math.exp(sigma * math.sqrt(dt)) \n", + " d = 1 / u \n", + " S = np.zeros((M + 1, M + 1))\n", + " S[0, 0] = S0\n", + " z = 1\n", + " for t in range(1, M + 1):\n", + " for i in range(z):\n", + " S[i, t] = S[i, t-1] * u\n", + " S[i+1, t] = S[i, t-1] * d\n", + " z += 1\n", + " return S" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [], + "source": [ + "np.set_printoptions(formatter={'float':\n", + " lambda x: '%6.2f' % x}) " + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 36.00, 39.79, 43.97, 48.59, 53.71],\n", + " [ 0.00, 32.57, 36.00, 39.79, 43.97],\n", + " [ 0.00, 0.00, 29.47, 32.57, 36.00],\n", + " [ 0.00, 0.00, 0.00, 26.67, 29.47],\n", + " [ 0.00, 0.00, 0.00, 0.00, 24.13]])" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simulate_tree(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 106 ms, sys: 3.1 ms, total: 109 ms\n", + "Wall time: 109 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 36.00, 36.32, 36.65, ..., 3095.69, 3123.50, 3151.57],\n", + " [ 0.00, 35.68, 36.00, ..., 3040.81, 3068.13, 3095.69],\n", + " [ 0.00, 0.00, 35.36, ..., 2986.89, 3013.73, 3040.81],\n", + " ...,\n", + " [ 0.00, 0.00, 0.00, ..., 0.42, 0.42, 0.43],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.41, 0.42],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.00, 0.41]])" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time simulate_tree(500) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### NumPy" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "M = 4" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1, 2, 3, 4],\n", + " [0, 1, 2, 3, 4],\n", + " [0, 1, 2, 3, 4],\n", + " [0, 1, 2, 3, 4],\n", + " [0, 1, 2, 3, 4]])" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "up = np.arange(M + 1)\n", + "up = np.resize(up, (M + 1, M + 1)) \n", + "up" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 0, 0, 0, 0],\n", + " [2, 2, 2, 2, 2],\n", + " [4, 4, 4, 4, 4],\n", + " [6, 6, 6, 6, 6],\n", + " [8, 8, 8, 8, 8]])" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "down = up.T * 2 \n", + "down" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4],\n", + " [-2, -1, 0, 1, 2],\n", + " [-4, -3, -2, -1, 0],\n", + " [-6, -5, -4, -3, -2],\n", + " [-8, -7, -6, -5, -4]])" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "up - down " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [], + "source": [ + "dt = T / M" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 36.00, 39.79, 43.97, 48.59, 53.71],\n", + " [ 29.47, 32.57, 36.00, 39.79, 43.97],\n", + " [ 24.13, 26.67, 29.47, 32.57, 36.00],\n", + " [ 19.76, 21.84, 24.13, 26.67, 29.47],\n", + " [ 16.18, 17.88, 19.76, 21.84, 24.13]])" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S0 * np.exp(sigma * math.sqrt(dt) * (up - down)) " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [], + "source": [ + "def simulate_tree_np(M):\n", + " dt = T / M\n", + " up = np.arange(M + 1)\n", + " up = np.resize(up, (M + 1, M + 1))\n", + " down = up.transpose() * 2\n", + " S = S0 * np.exp(sigma * math.sqrt(dt) * (up - down))\n", + " return S" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 36.00, 39.79, 43.97, 48.59, 53.71],\n", + " [ 29.47, 32.57, 36.00, 39.79, 43.97],\n", + " [ 24.13, 26.67, 29.47, 32.57, 36.00],\n", + " [ 19.76, 21.84, 24.13, 26.67, 29.47],\n", + " [ 16.18, 17.88, 19.76, 21.84, 24.13]])" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simulate_tree_np(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5.36 ms, sys: 3.3 ms, total: 8.67 ms\n", + "Wall time: 6.36 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 36.00, 36.32, 36.65, ..., 3095.69, 3123.50, 3151.57],\n", + " [ 35.36, 35.68, 36.00, ..., 3040.81, 3068.13, 3095.69],\n", + " [ 34.73, 35.05, 35.36, ..., 2986.89, 3013.73, 3040.81],\n", + " ...,\n", + " [ 0.00, 0.00, 0.00, ..., 0.42, 0.42, 0.43],\n", + " [ 0.00, 0.00, 0.00, ..., 0.41, 0.41, 0.42],\n", + " [ 0.00, 0.00, 0.00, ..., 0.40, 0.41, 0.41]])" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time simulate_tree_np(500)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numba" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "simulate_tree_nb = numba.jit(simulate_tree)" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 36.00, 39.79, 43.97, 48.59, 53.71],\n", + " [ 0.00, 32.57, 36.00, 39.79, 43.97],\n", + " [ 0.00, 0.00, 29.47, 32.57, 36.00],\n", + " [ 0.00, 0.00, 0.00, 26.67, 29.47],\n", + " [ 0.00, 0.00, 0.00, 0.00, 24.13]])" + ] + }, + "execution_count": 111, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simulate_tree_nb(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 430 µs, sys: 1e+03 ns, total: 431 µs\n", + "Wall time: 435 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 36.00, 36.32, 36.65, ..., 3095.69, 3123.50, 3151.57],\n", + " [ 0.00, 35.68, 36.00, ..., 3040.81, 3068.13, 3095.69],\n", + " [ 0.00, 0.00, 35.36, ..., 2986.89, 3013.73, 3040.81],\n", + " ...,\n", + " [ 0.00, 0.00, 0.00, ..., 0.42, 0.42, 0.43],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.41, 0.42],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.00, 0.41]])" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time simulate_tree_nb(500)" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "298 µs ± 4.79 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit simulate_tree_nb(500)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cython" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + " \n", + " Cython: _cython_magic_5edae46bb54cbe088ba0629c1aa30e21.pyx\n", + " \n", + "\n", + "\n", + "

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\n", + "
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\n", + "
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+       "
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" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%%cython -a\n", + "import numpy as np\n", + "cimport cython\n", + "from libc.math cimport exp, sqrt\n", + "cdef float S0 = 36.\n", + "cdef float T = 1.0\n", + "cdef float r = 0.06\n", + "cdef float sigma = 0.2\n", + "def simulate_tree_cy(int M):\n", + " cdef int z, t, i\n", + " cdef float dt, u, d\n", + " cdef float[:, :] S = np.zeros((M + 1, M + 1),\n", + " dtype=np.float32) \n", + " dt = T / M\n", + " u = exp(sigma * sqrt(dt))\n", + " d = 1 / u\n", + " S[0, 0] = S0\n", + " z = 1\n", + " for t in range(1, M + 1):\n", + " for i in range(z):\n", + " S[i, t] = S[i, t-1] * u\n", + " S[i+1, t] = S[i, t-1] * d\n", + " z += 1\n", + " return np.array(S)" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 36.00, 39.79, 43.97, 48.59, 53.71],\n", + " [ 0.00, 32.57, 36.00, 39.79, 43.97],\n", + " [ 0.00, 0.00, 29.47, 32.57, 36.00],\n", + " [ 0.00, 0.00, 0.00, 26.67, 29.47],\n", + " [ 0.00, 0.00, 0.00, 0.00, 24.13]], dtype=float32)" + ] + }, + "execution_count": 115, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simulate_tree_cy(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.42 ms, sys: 1.25 ms, total: 2.67 ms\n", + "Wall time: 1.38 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 36.00, 36.32, 36.65, ..., 3095.77, 3123.59, 3151.65],\n", + " [ 0.00, 35.68, 36.00, ..., 3040.89, 3068.21, 3095.77],\n", + " [ 0.00, 0.00, 35.36, ..., 2986.97, 3013.81, 3040.89],\n", + " ...,\n", + " [ 0.00, 0.00, 0.00, ..., 0.42, 0.42, 0.43],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.41, 0.42],\n", + " [ 0.00, 0.00, 0.00, ..., 0.00, 0.00, 0.41]],\n", + " dtype=float32)" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time simulate_tree_cy(500)" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "248 µs ± 4.27 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit S = simulate_tree_cy(500)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Monte Carlo Simulation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [], + "source": [ + "M = 100 \n", + "I = 50000 " + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [], + "source": [ + "def mcs_simulation_py(p):\n", + " M, I = p\n", + " dt = T / M\n", + " S = np.zeros((M + 1, I))\n", + " S[0] = S0\n", + " rn = np.random.standard_normal(S.shape) \n", + " for t in range(1, M + 1): \n", + " for i in range(I): \n", + " S[t, i] = S[t-1, i] * math.exp((r - sigma ** 2 / 2) * dt +\n", + " sigma * math.sqrt(dt) * rn[t, i]) \n", + " return S " + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 6.35 s, sys: 37 ms, total: 6.39 s\n", + "Wall time: 6.39 s\n" + ] + } + ], + "source": [ + "%time S = mcs_simulation_py((M, I))" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38.25315828072039" + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[-1].mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38.22611567563295" + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S0 * math.exp(r * T) " + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "K = 40. " + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "C0 = math.exp(-r * T) * np.maximum(K - S[-1], 0).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.8309142786243937" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C0 # <8>" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(S[-1], bins=35, label='frequency')\n", + "plt.axvline(S[-1].mean(), color='r', label='mean value')\n", + "plt.legend(loc=0)\n", + "# plt.savefig('../../images/ch10/perf_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### NumPy" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [], + "source": [ + "def mcs_simulation_np(p):\n", + " M, I = p\n", + " dt = T / M\n", + " S = np.zeros((M + 1, I))\n", + " S[0] = S0\n", + " rn = np.random.standard_normal(S.shape)\n", + " for t in range(1, M + 1): \n", + " S[t] = S[t-1] * np.exp((r - sigma ** 2 / 2) * dt +\n", + " sigma * math.sqrt(dt) * rn[t]) \n", + " return S " + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 273 ms, sys: 20.2 ms, total: 293 ms\n", + "Wall time: 206 ms\n" + ] + } + ], + "source": [ + "%time S = mcs_simulation_np((M, I))" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38.17244220811968" + ] + }, + "execution_count": 129, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[-1].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "191 ms ± 6.99 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit S = mcs_simulation_np((M, I))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numba " + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": {}, + "outputs": [], + "source": [ + "mcs_simulation_nb = numba.jit(mcs_simulation_py)" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 977 ms, sys: 21.9 ms, total: 999 ms\n", + "Wall time: 506 ms\n" + ] + } + ], + "source": [ + "%time S = mcs_simulation_nb((M, I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 190 ms, sys: 8.39 ms, total: 199 ms\n", + "Wall time: 198 ms\n" + ] + } + ], + "source": [ + "%time S = mcs_simulation_nb((M, I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38.223313865317685" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[-1].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [], + "source": [ + "C0 = math.exp(-r * T) * np.maximum(K - S[-1], 0).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.83789322158541" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C0" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "199 ms ± 2.01 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit S = mcs_simulation_nb((M, I)) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cython — Sequential" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "import numpy as np\n", + "cimport numpy as np\n", + "cimport cython\n", + "from libc.math cimport exp, sqrt\n", + "cdef float S0 = 36.\n", + "cdef float T = 1.0\n", + "cdef float r = 0.06\n", + "cdef float sigma = 0.2\n", + "@cython.boundscheck(False)\n", + "@cython.wraparound(False)\n", + "def mcs_simulation_cy(p):\n", + " cdef int M, I\n", + " M, I = p\n", + " cdef int t, i\n", + " cdef float dt = T / M\n", + " cdef double[:, :] S = np.zeros((M + 1, I))\n", + " cdef double[:, :] rn = np.random.standard_normal((M + 1, I))\n", + " S[0] = S0\n", + " for t in range(1, M + 1):\n", + " for i in range(I):\n", + " S[t, i] = S[t-1, i] * exp((r - sigma ** 2 / 2) * dt +\n", + " sigma * sqrt(dt) * rn[t, i])\n", + " return np.array(S) " + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 252 ms, sys: 34.7 ms, total: 287 ms\n", + "Wall time: 243 ms\n" + ] + } + ], + "source": [ + "%time S = mcs_simulation_cy((M, I))" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "38.20316403735488" + ] + }, + "execution_count": 140, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S[-1].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "235 ms ± 13.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit S = mcs_simulation_cy((M, I))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Multiprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [], + "source": [ + "import multiprocessing as mp" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [], + "source": [ + "pool = mp.Pool(processes=4) " + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [], + "source": [ + "p = 20 " + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "133 ms ± 5.93 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit S = np.hstack(pool.map(mcs_simulation_np, p * [(M, int(I / p))]))" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "122 ms ± 2.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit S = np.hstack(pool.map(mcs_simulation_nb, p * [(M, int(I / p))]))" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "122 ms ± 1.62 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit S = np.hstack(pool.map(mcs_simulation_cy, p * [(M, int(I / p))]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Recursive pandas Algorithm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data and Formula" + ] + }, + { + "cell_type": "code", + "execution_count": 148, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 149, + "metadata": {}, + "outputs": [], + "source": [ + "sym = 'SPY'" + ] + }, + { + "cell_type": "code", + "execution_count": 150, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True)[sym]).dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = 0.25" + ] + }, + { + "cell_type": "code", + "execution_count": 152, + "metadata": {}, + "outputs": [], + "source": [ + "data['EWMA'] = data[sym] " + ] + }, + { + "cell_type": "code", + "execution_count": 153, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 563 ms, sys: 16.7 ms, total: 580 ms\n", + "Wall time: 565 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "for t in zip(data.index, data.index[1:]):\n", + " data.loc[t[1], 'EWMA'] = (alpha * data.loc[t[1], sym] +\n", + " (1 - alpha) * data.loc[t[0], 'EWMA']) " + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " SPY EWMA\n", + "Date \n", + "2010-01-04 113.33 113.330000\n", + "2010-01-05 113.63 113.405000\n", + "2010-01-06 113.71 113.481250\n", + "2010-01-07 114.19 113.658438\n", + "2010-01-08 114.57 113.886328" + ] + }, + "execution_count": 154, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[data.index > '2017-1-1'].plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch10/perf_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Pure Python" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": {}, + "outputs": [], + "source": [ + "def ewma_py(x, alpha):\n", + " y = np.zeros_like(x)\n", + " y[0] = x[0]\n", + " for i in range(1, len(x)):\n", + " y[i] = alpha * x[i] + (1-alpha) * y[i-1]\n", + " return y" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 30.8 ms, sys: 1.62 ms, total: 32.4 ms\n", + "Wall time: 31.4 ms\n" + ] + } + ], + "source": [ + "%time data['EWMA_PY'] = ewma_py(data[sym], alpha) " + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.08 ms, sys: 97 µs, total: 2.17 ms\n", + "Wall time: 2.16 ms\n" + ] + } + ], + "source": [ + "%time data['EWMA_PY'] = ewma_py(data[sym].values, alpha) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numba" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [], + "source": [ + "ewma_nb = numba.jit(ewma_py)" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 205 ms, sys: 8.81 ms, total: 214 ms\n", + "Wall time: 218 ms\n" + ] + } + ], + "source": [ + "%time data['EWMA_NB'] = ewma_nb(data[sym], alpha) " + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "30.4 ms ± 2.34 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit data['EWMA_NB'] = ewma_nb(data[sym], alpha) " + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 78.8 ms, sys: 2.3 ms, total: 81.1 ms\n", + "Wall time: 80.1 ms\n" + ] + } + ], + "source": [ + "%time data['EWMA_NB'] = ewma_nb(data[sym].values, alpha) " + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "118 µs ± 4.76 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" + ] + } + ], + "source": [ + "%timeit data['EWMA_NB'] = ewma_nb(data[sym].values, alpha) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cython" + ] + }, + { + "cell_type": "code", + "execution_count": 164, + "metadata": {}, + "outputs": [], + "source": [ + "%%cython\n", + "import numpy as np\n", + "cimport cython\n", + "@cython.boundscheck(False)\n", + "@cython.wraparound(False)\n", + "def ewma_cy(double[:] x, float alpha):\n", + " cdef int i\n", + " cdef double[:] y = np.empty_like(x)\n", + " y[0] = x[0]\n", + " for i in range(1, len(x)):\n", + " y[i] = alpha * x[i] + (1 - alpha) * y[i - 1]\n", + " return y" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.46 ms, sys: 973 µs, total: 3.44 ms\n", + "Wall time: 3.26 ms\n" + ] + } + ], + "source": [ + "%time data['EWMA_CY'] = ewma_cy(data[sym].values, alpha)" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "577 µs ± 16.8 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit data['EWMA_CY'] = ewma_cy(data[sym].values, alpha)" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Date
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2010-01-05113.63113.405000113.405000113.405000113.405000
2010-01-06113.71113.481250113.481250113.481250113.481250
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" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mathematical Tools" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Approximation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from pylab import plt, mpl" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "2326c3ad-f244-4f48-8b68-851bd2347d57" + }, + "outputs": [], + "source": [ + "def f(x):\n", + " return np.sin(x) + 0.5 * x" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def create_plot(x, y, styles, labels, axlabels):\n", + " plt.figure(figsize=(10, 6))\n", + " for i in range(len(x)):\n", + " plt.plot(x[i], y[i], styles[i], label=labels[i])\n", + " plt.xlabel(axlabels[0])\n", + " plt.ylabel(axlabels[1])\n", + " plt.legend(loc=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "c09f73d2-c2a5-4c6d-a2f1-08a191378417" + }, + "outputs": [], + "source": [ + "x = np.linspace(-2 * np.pi, 2 * np.pi, 50) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "scrolled": false, + "uuid": "96d2bd1b-8883-486d-920d-b610aeb076a8" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x], [f(x)], ['b'], ['f(x)'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_01.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Monomials as Basis Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "res = np.polyfit(x, f(x), deg=1, full=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 4.28841952e-01, -1.31499950e-16]),\n", + " array([21.03238686]),\n", + " 2,\n", + " array([1., 1.]),\n", + " 1.1102230246251565e-14)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "ace90420-7219-4227-8210-bf107f556726" + }, + "outputs": [], + "source": [ + "ry = np.polyval(res[0], x) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "c0667d3e-a48a-413d-b250-5e0d3b58275e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "096bb07a-55f7-45de-8734-2a76d8749d53" + }, + "outputs": [], + "source": [ + "reg = np.polyfit(x, f(x), deg=5)\n", + "ry = np.polyval(reg, x)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "5e17309e-e8e2-4df9-b841-0f57d983b89e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_03.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "67b14a21-e8f2-4dd4-a43b-0d232f2b4055" + }, + "outputs": [], + "source": [ + "reg = np.polyfit(x, f(x), 7)\n", + "ry = np.polyval(reg, x)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "e600b6be-4cf2-4212-807a-7f397f081e98" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(f(x), ry) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "uuid": "bc6918fe-f520-483c-94eb-41dd89abfa70" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0017769134759517689" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean((f(x) - ry) ** 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "053752b7-7eb3-4d93-acdf-69874ceada12" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_04.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Individual Basis Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "b4f05890-56e0-4f29-9d61-bd9948ad8af0" + }, + "outputs": [], + "source": [ + "matrix = np.zeros((3 + 1, len(x))) \n", + "matrix[3, :] = x ** 3 \n", + "matrix[2, :] = x ** 2 \n", + "matrix[1, :] = x \n", + "matrix[0, :] = 1 " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "c8963eee-4bc8-4ef2-a172-d4b64fd065a3" + }, + "outputs": [], + "source": [ + "reg = np.linalg.lstsq(matrix.T, f(x), rcond=None)[0] " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "efd077d1-9c8a-4961-be95-400f83cd679e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.5628, -0. , -0.0054])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reg.round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "efb7b252-d0f8-4263-b2be-4d9588ab06a7" + }, + "outputs": [], + "source": [ + "ry = np.dot(reg, matrix) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "1b1953fe-83a2-436b-8cd4-69c5abf6d2e1" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_05.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "matrix[3, :] = np.sin(x) " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "reg = np.linalg.lstsq(matrix.T, f(x), rcond=None)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "86f9a92c-600d-4515-b34d-20c9f35a86b0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.5, 0. , 1. ])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reg.round(4) " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "ac77ef01-8abe-4b99-8f92-8325a396ff2c" + }, + "outputs": [], + "source": [ + "ry = np.dot(reg, matrix)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "02481bd5-c737-46bc-9b90-5554fcad8745" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(f(x), ry) " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "6bf80137-3a52-483b-a557-b092bbf23b36" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3.404735992885531e-31" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean((f(x) - ry) ** 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "uuid": "58d9db31-5885-4fba-8ae7-2e962a0963ca" + }, + "outputs": [ + { + "data": { + "image/png": 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V40sKWePI5azURRSVQTBY4zfPTcfLYjqRRyEF5NLu6IVkt0ijWbMgzZsHad48RL16mglJdk884Wb+fCfnn++nVy+/1XHihqUFTERE4t+WLTZmzHAyfbqT+fMdtAyu4nYKAcgOFtI5azk/NuiAyxUgPT1MWhqkp4c5efc35E2JPC+PQozASmbktyc//9cfPfXqhWjePESzZkFaGjs5q84KXKdVz7viktHMmQ5Gj/Zwwgkhxo3zYTvgiqjqRwVMRER+tefS4k+1Tmba7FpMn+5kwQIHoVDkJ+dppwW58C9NKHszh9QfVhPIzmFc/klknQRFRWW/e63GBJbl4FwTed6/809kc4mXZcvsLF3q2PvPjz5y8tlHPhbTiQYU8tNRBqtenkvzM9L0AzuBbdhgo1evVDyeMJMmlVW7o4YORQVMREQA8G31knpWFzK3mvxMLkNZTAkptGkT4MILA3TvHuC448KAG+9tc/DtswZsvzIyKM6f85u1YvUywpxzTpBzzvl1HdCWLTZ+mrqEvAGR2bJjd5n06PE9u/Nacd11fi6/3E9mZgwGQCpNRQXccksqxcU2Ro700azZATc4qLYsvwtSRESsN3eug7u6fU/dPcfD5FHI07d/xbJlXqZPL+O22/x7ytceGRmRo2MOdanwMJ539NFhWlyXQyA7B4BdDQxOOD+Hb7+107dvCs2aZXDbbSnMn+8gDnZOksMwaJCHJUscXH65nxtu0Lqv/dEMmIhINbZli40BAzxMneqihu1UNtUyOGaHSSA7hwv6ZENGjBrP72bLns5wMrCohLfecvL66y6mTo38OumkEDddUcw1zZdxVPtcrRWLQx+85WPpC6tokZ3LyJF2XUY+AM2AiYhUQ6EQ/PvfLs44I52pU120aBHkf5/YcX41m+IZMynOnxP7cvO72bKsrDB33OHns89Kee+9Uq680s+ujSVc/kRHGl/bleDpXdi+XqfXxRNzSSntep/FQtoxv6IN6WGv1ZHilgqYiEg1s2qVnQsvTKNPnxSCQRg+3McHH5TStGno8C8txpDNBu3aBRk/3sfXry0mb88dmPV3mNx25vc8/ribXbssDimsXWtjyNVrMcKR/z9pP6zGaRZYnCp+qYCJiFQTJSUweLCbs89O48svHVx8sZ/PPy/h5pv9CXMmX0rLvL1rxbZmGaxLO5knn/TQunUG48e7KC21OGA1tWGDjcsvT2P+jqZszTIACGTnRG6+kP1SARMRSXZeL18/+xXndQwzfryHBg3CvPFGKRMn+qhfP8FWte9ZK1Y8YybhhbOZvdhG377lhEIweHAKbdum8+KLLioqrA5afWzZEilfGzbYuaevi/BCCy9jJxAVMBGRJBba5SXQogt/GdCZ//7Ulgdu28a8eSV065bAx8Hsc5k0IwPuvruCxYu93HNPObt323jooRQ6dEhnyr992BcvBq/WIVWV4mK44opU1q61c9dd5dx9d0VcXsaORypgIiJJqqICnvz7Wo7Z+evWEo9cspS0NIuDVYFateCRRypYtKiEW2+tYPemEjr1OYs63bvh7thFJawKeL1wzTVpFBQ4uOmmCvr21bTjkVABExFJQl4vXHttKhPmNef7lFygeqzJOfroMEOGlPPFxC/3LtavudFk0JVrWbNGP/IqS1kZXH99KkuWOLjySj/Dh5dru4kjpE+jiEiS2bbNxmWXpTF3rpOO56bg+GpWtVuTU/vM3L2L9X9IzeXlL5vTqVMaAwZ42LnT4nAJrqICevZM5bPPnHTv7mfMGB92tYkjpiETEUkiGzbYuOiiVL7+2sFVV/l56aUyUupWwzU5+yzWT1s5i6dfdtCgQZhnn3XTvn06r77qIpjAy+CsEgzCHXek8PHHTrp0CfDssz6c2tL9T1EBExFJEqtXR/b3+vZbB716VTB2bDX/4bjPYvALLggwf34JffuWU1pq4/77U/jLX9JYsCBB9t+IA6EQ3H+/h3ffddGuXYCXXirD47E6VeJSARMRSQJLlti56KI0Nm60M2CAj4EDtSbn91JSIndMLlhQwpVX+lm+3MHFF6dx660pbFxdgnOJ7pg8IK+XF/+xlHcnV3DaaUFef70sKW/miCUVMBGRBDdrloPLLktj1y4YO7aMO+/U4ccHU79+mPHjfcyYUcLppwf5+H/leM7sQub53ah5TmeVsN8J7IhsZfLwu2ey1N2aNydtoUYNq1MlPhUwEZFE5fUy/6mvuO26IMEgvPRSGVdfHbA6VcJo2TLEBx+U8vIDS8jdc3yO+7vVzBy3RuvD9ti0ycYjl6zbu5VJ44pCsrboeKHKoAImIpKIvF7sbbtw6YjOLAi1Ycq/izjvPLWGI2W3Q6deOVQ0jtwxWWjLpeeY0+nWLY25c6v3+rB58xx065bG2wXN2JCh44UqmwqYiEgCWjBpNXWKIrMSRqiQDjVXWJwogWVksPPjyB2Tgc9nc9FVHgoK7FxxRRrXXJOKaVavH5WhEIwe7ebKK1PZudNG32FOPMt0vFBlq16fKhGRJLBsmZ2bnzqdQlv12WC1yu25Y7Je43TGjfPxySeldOwY4JNPnHTunMY//+mhqCj572rYsSOywerw4R7q1w/z7rul9Ozp1/FCVUAFTEQkgfz8s43rrktlqy+Dr5+bq1mJKtK0aYgpU8p45ZVSTjwxzMsvu2nbNp1nR1UQ+iI575ZcutTO2Wen8/HHTjp1CvDJJ6W0ahWyOlbSUgETEUkQpaWR2Ymff7bTv385Z/81VbMSVchmg/POCzJvXgnDh/vIdO3m8ic6Uu+SbtjadKFkc3KUsHAYXnnFRffuaaxfb+f++8v5z3/KqFs3bHW0pKYCJiKSAEIhuPPOFJYudXD11X7uuENbTcSKywU33+zns+d/PV+y7laTnu1/YMQIN1u3Ju6lybIiL+OuXcajDwRIT4c33ijlwQcrcFTv+w9iQgVMRCQBPP64m+nTXbRvH2DkSJ82WbVASsu8vedLbq5tsNp1Mk895aFly3QeftjD+vWJ8z/F74epr/ioOK0rQz7pyDJPa2a9t5lu3XQnbayogImIxLm33nIyerSHE08M8dJLZbjdVieqpvY5X9L+5WzmfWVj6FAfdeqEmTQpskbstttSWLkyfn+0lpbCpEku2rZN58UH1tLEH5nRa1ReyAneVRanq17i91MiIiIsXOjgvvtSOOqoMK+/Xkbt2lYnqub2uRswPR1uucXPwoUlPP10GTk5IaZOddGlSzo3XRFk1Utfxc1i/Z07YcwYN61apfPwwyls22aj9Y3Z+E6MzOjpTtrYq87HtIqIxLUffrBx000pBIMwcWIZ2dm6Iy0euVxwxRUBLr88wCefOJg4poKRc9uTN7eQNX1zGXXlZ3S5KIUzzgiSkhLbbJs323j+eRcvveTG67Vx1FFh7r23nJ49/WRludjtnUOZWRApX7qZI6ZUwERE4tDu3ZE7HrdutfP44z46d9banHhns8E55wQ5v/ZXZJ4fubSXHSjkm8lreH5yW9LSwnTuHOC88wKcfXawSu8y/LGghPef+JYxHzdne4WHrKwQ995bwd/+VvHbcxx/mdGTmFMBExGJM4EA3HprKoWFDnr2rOCmm3THYyIJGJHF+s41qwk0yWHAkJN4f24F+flOPvjAxQcfuLDZwrRqFeLccwOcf+YOcoMr4cw2R/xeoRB8/72NlSsdrFplZ+VKO9+vKGPqhi70p5CrnblMf+xTLrvRE/PZNzk4FTARkTgz7BE/u2eu4oKzDAYP1n4ACWfPYn3nnkt7bTJSadO1nEGDyvn2Wxv5+U7y850sWuRg1WI/19CZ2hSyxpnLdTkLSK+XTp06YerUCVO3bnjvvx+dtov07wtZXHoK33x7FKtWOSgosFNa+tu7L/9S89ftMpoECrmx1TICKZrlijcqYCIiceTd1330evks/kUhFT/lsNM3R2tzEtEBLu01aRKmSZPIPm7bttlYMWkJeaN+vVyZ8l0Bs1e1+8OfS8fLYjqTRyF1yWUAiyl3ppOdHeKUU0KcfHJwzz9D1Es/kcC5e2bgtLg+bqmAiYjEiR9/tDG573f03DN74f5udWQWRWt0klKdOmE69coh8G6kLJGbyzsfnECpfTfbttn2/ioqspGy9CvyJkU+F3kUMvfpL6l3cUs8nv298m9n4FTg45MKmIhIHAgGoXfvFJaWnsr2ow1qbzE1e1Ed7HO5MrNjGygLkwakpYU57rh9FulfmE1g3q+zWsefb8B+y9evr6viHt9UwERE4sCECW4+/9zJ+ed7CD49m2LNXlQf++wtRtnuAz5Hs1rJRQVMRMRiy5fbGTHCzdFHh3jqqXLNXsj+6XORVLQTvoiIhcrK4PbbU/D7bYwbFznWRkSSnwqYiIiFHnvMw+rVDm6+uYKuXbXZqkh1oQImImKRWbMcTJzoJicnSP/+5VbHEZEYUgETEbHAtm027rorBZcrzIQJPtLSrE4kIrFk6SJ8wzDqA0OA5qZpamWhiFQL4TDcd5+HLVvs9OtXTrNmOmRbpLqxegasI/AuYDvUE0VEksUbbziZMcNF+/YB7rijwuo4ImIBSwuYaZrvAAfY9EREJPmsW2fjkUdSqFEjzPjxPhw66lGkWkqofcAyM9NwOuPvu1VWVg2rIyQ8jWH0NIbRicX4BQJw8cVQWgqvvQann55cm2nqMxg9jWH0EmUME6qAFReXWh3hD7KyalBUpEm8aGgMo6cxjE5Mxs/r5c0B37J8QQsuvdTDOef4KCqq2reMJX0Go6cxjF68jeHBymBCFTARkYTk9ZLaqTN3/riac5252AbMwmZLrtkvETkylq4BMwyjE3A9cIxhGP0Mw0i1Mo+ISFUIrygg48fVAGQHCqnzc4HFiUTEapbOgJmmOReYa2UGEZGq9uynzbmCXPIoJJCdEzlMWUSqNau3oRARSWrr1tkY/q/aXFB3Ievfnklx/hzI0OVHkepOa8BERKpIOAwPPpiCz2fj4bEuUjtpv2kRidAMmIhIFfnvf53MmeOkS5cAf/1rwOo4IhJHVMBERKrAjh3Qr5+HlJQwjz/uw6bzPkRkHypgIiJV4LHHPGzdaueBByo48cSw1XFEJM6ogImIVLKFCx28+qqbvLwgt9+usx5F5I9UwEREKlFFBfTp4wFg5EgfLpfFgUQkLqmAiYhUomeecVNY6OCGGypo0yZkdRwRiVMqYCIilWTdOhtPPukmKytEv37lVscRkTimfcBERCrBvnt+jR3ro1YtqxOJSDzTDJiISCX4Zc+vrl2155eIHJoKmIhIlH7Z8ys1VXt+icjhUQETEYnSL3t+3X9/BSecoD2/ROTQVMBERKLw5ZwyzFe/pqWxU3t+ichh0yJ8EZE/KbDDS851XVlIId6SHMrK54Arw+pYIpIANAMmIvIn5T+1hsYVhQBkbFiN0yywOJGIJAoVMBGRP2HrVhuPvN4C054LQCA7h4CRZ3EqEUkUugQpIvInDB/uZtNuN+8N+JSe7ZdFyleGLj+KyOFRARMROULLltl57TUXublBrv2Hh4CrtdWRRCTB6BKkiMgRCIfhkUc8hMM2hgwp12HbIvKnqICJiByBqVOdLFrkpHt3P2edFbQ6jogkKBUwEZHD5PXC4MEePJ4wAwfqsG0R+fNUwEREDtO4cW42bbJzxx3a8V5EoqMCJiJyGNatszFhgpsGDUL07q0d70UkOipgIiKH4dFHPVRU2Bg4sJz0dKvTiEiiUwETETmE2bMdfPihi/btA1xyScDqOCKSBFTAREQOwu+Hfv082O1hhgwpx2azOpGIJAMVMBGRg5g0ycWaNQ6uv95P06Yhq+OISJJQARMROYCiIhsjR3qoVSvMQw9p4b2IVB4VMBGRAxg2zM3u3TYefLCcOnW07YSIVB4VMBGR/fjmGzuTJ7vIywty441+q+OISJJRARMR+Z1wGB57MEDr8CJG9NuG02l1IhFJNipgIiK/8+7rPp77uh0LaccFA8+MnEEkIlKJVMBERPZRUgL/G/oteRQC4FyzGqdZYHEqEUk2KmAiIvt4+mk3c7c1ZXOmAUAgO4eAkWdxKhFJNoe1ssEwjBSgEZAF7ADWmaa5qyqDiYjE2k8/2Xj6aTc1jnZRNnM2xRsKIuUrI8PqaCJf6tESAAAgAElEQVSSZA5awAzDyASeAi4DAoAXSAXSDMOYA9xrmubqqg4pIhILQ4Z4KCuz8fjjPtLrZRCo19rqSCKSpA54CdIwjKOA14B3gWNN06xtmubxpmlmAZnA48BIwzBOjk1UEZGq8+WXdqZMcdGsWZArr9R5jyJStQ42A3Y8cINpmtt+/4BpmhXAPMMwPgfaVlU4EZFYCIWgf/8UAIYMKceu1bEiUsUOWMBM01zxy78bhtHMNM1l+z5uGMZlpmlOAT6LJoBhGGcDPYAtQNg0zUHRvJ6IyJF64w1YssTBJZf4adcuaHUcEakGDvfveeMMw6jxy28Mw2gNjIj2zQ3DSAOeJbKWbCDQzDCMbtG+rojI4SopgQcfBI8nTP/+5VbHEZFq4nD3d14DjDEM403gDOBvwMZKeP/2wA+maf7yXe8zoDswsxJeW0TkkCZMcPPTT3DPPRUcf7zOexSR2DjcAjaAyBYU84hsQ9GSyB2R0Toa2L3P73ft+dp+ZWam4XQ6KuFtK1dWVo1DP0kOSmMYPY3hkfvxRxg/HurXh8GDPdSo4bE6UkLTZzB6GsPoJcoYHm4BmwOkA7cBJvAE4AGujfL9twD7jtRRe762X8XFpVG+XeXLyqpBUdHuQz9RDkhjGD2N4Z9z770plJW5mDABfL7d+HxWJ0pc+gxGT2MYvXgbw4OVwcNdA7YTaGWa5n9M0/wa6AXUrYRsXwAnGIbxy187zwDer4TXFRE5qH23nbjhBqvTiEh1c7gFrJdpmj//8hvTNH3AHdG+uWmapcDtRBb5DwGWmaap9V8iUqXCYW07ISLWOuAlSMMwOhDZFuIL0zS//P3jpml+axjGsUAH0zTf/rMBTNP8GPj4z/55EZEjNWWKkyVLHFx8sbadEBFrHGwfsM8Nw3jFMIwbiBSk9UAJkALUBzoCbYgcUyQikhBKSuCxxzx4PGEGDNC2EyJijUMtwi8hsk7rFqAZkXVfO4lsS/E2cOE+W0iIiMS9CRPcbNpk5557yrXthIhY5lAFzGea5it7dsI/f98HDMO4RuVLRBLJz9+WsHDcSk6sezJ33WWzOo6IVGOHKmCGYRh/J7JD/e/vE7oOmFw1sUREKpnXS+a5XZhbbrK9lkGQ2UCG1alEpJo6VAEbBtwANAS6/O6xY6skkYhIFTCnrqbjbhOA2ptNis0CAi1bW5xKRKqrgxYw0zTnA/MNw+hhmubUfR8zDKNHlSYTEakkwSA88NJpvEQueRQSyM4hYORZHUtEqrHD2v3m9+XrQF8TEYlHkye7WLiyJsP++jnFM2ZSnD8HMnT5UUSsc7hHEYmIJKSdO2HYMDdpaWH+OdhFoL4uO4qI9bT/s4gktZEjPWzbZue++yqoX1/bTohIfFABE5GkZZp2Jk1yceKJIf7xjwqr44iI7KUCJiJJKRyGvn09BIM2HnvMh8djdSIRkV+pgIlIUpoxw8m8eU66dg3wl7/ovEcRiS8qYCKSdHw+GDDAg9MZ5rHHyrFp03sRiTMqYCKSdJ55xs369XZuucVPdnbI6jgiIn+gAiYiSWXjRhtjx7qpWzfE/ffruFoRiU/aB0xEksrgwR5KS20MH+7jqKOsTiMisn+aARORpLFggYOpU120aBHk//4vYHUcEZEDUgETkaQQDMIjj0T2mhg61Idd391EJI7pW5SIJIXXXnOxYoWDK6/006qVFt6LSHxTARORhLdjBwwf7iY9PUz//lp4LyLxT4vwRSThjR3qp8n2xVz0YBPq1XNbHUdE5JA0AyYiCW3VolLu+PcZLKQdD07pAF6v1ZFERA5JBUxEElYwCJPu+448CgFwfbsap1lgcSoRkUNTARORhPXyyy6mrm7GhhoGAIHsHAJGnsWpREQOTWvARCQhbdpkY+hQD86aHnZ/PIfibasi5Ssjw+poIiKHpAImIgmpb18PXq+NJ5/0UffEdAIntrY6kojIYdMlSBFJOPn5DqZPd9GmTYBrr/VbHUdE5IipgIlIQikpgYcfTsHpDDNqVLl2vBeRhKRvXSKSUEaO9LBhg50776wgN1c73otIYlIBE5GEsXy5neeec3HCCSHuvbfC6jgiIn+aCpiIJIRgEPr0SSEYtPHEEz5SU61OJCLy56mAiUhCePllF1995aBHDz9dugStjiMiEhUVMBGJez//HNnzq2bNMIMH67BtEUl82gdMROLevnt+HX102Oo4IiJR0wyYiMS1jz5yMG2a9vwSkeSiAiYicaukBB56SHt+iUjy0bczEYlb44b5abBhMffdul17folIUlEBE5G4tGpRKbe8cAYLaceQ/A7g9VodSUSk0qiAiUjcKSuDp3t9Rx6FALi+W43TLLA4lYhI5bGsgBmGYTcM4x+GYWwxDONUq3KISPwZMsTDB+ubsammAUAgO4eAkWdxKhGRymPlNhTNgYVAqYUZRCTOzJrl4IUX3OTkOAj8bzbFPxREyldGhtXRREQqjWUFzDTNrwEMw7AqgojEmW3bbNx1VwouV5hnnvGRUjeDQN3WVscSEal0VVrADMPIB+rt56EBpmm+d6Svl5mZhtPpiD5YJcvKqmF1hISnMYxeoo9hOAy33QZbtsDjj0PXrukxff9EH794oDGMnsYweokyhlVawEzTPLcyX6+4OP6uVmZl1aCoaLfVMRKaxjB6yTCGb7zhZOrUVDp0CHDDDWUUFcXuvZNh/KymMYyexjB68TaGByuDugtSRCy3bp2NRx5J4aijwowf78MRfxPdIiKVysq7IDMNw+gH1ARuNQyjnVVZRMQ6gQDccUcqJSU2Hn/cR8OGOutRRJKflYvwi4Ehe36JSDU1dqybL7900KOHn8suC1gdR0QkJnQJUkQs89VXdkaNcnPssSFGjPBZHUdEJGZUwETEEl4v3H57KqEQ/OtfPmrVsjqRiEjsqICJiCUefdTDunV2evXy07Fj0Oo4IiIxpQImIjH34YcOXn3VzSmnBHnooXKr44iIxJwKmFSJYBA2FJbgnfkloV1eq+NIHClaV8Krdy6ltns3zzzjw+OxOpGISOxZeRakJIkdO2DVKgcrV9pZtcrOypUOfiwo5dPyLpxEIQXkcn6dhaTUTadOnfBvftWtGyangZfGviU0OMfQeX9JLrDDS3rnrnxUVsjWLINww9mA/p+LSPWjAiZHZMcGL6veXs3nO0/lm29rsnKlnZ9++u1Eqtsd5rKGy8lbWwhAHoW0Sl3BrC3tMU3bb56bjpfFtCaPQr515fKv6z+j84UptG0bxOWK2X+WxEA4DBPv/Y7+ZZHPRd0ik2KzgEBLnfUoItWPCpgclk2bbLw4roLbXuzKJeFCcsilNYvJqJdGly4BTjklyCmnhDj55BBNmoRwlZ9E4NwcnGtWE8jO4Zn8kyDDi98P27fb2LYt8su+eAl5IyI/kJv4C1nw4hrGvdiWmjXDdOsW4NxzA3TtGqBmTYsHQKI2aZKLx98/jWvcuTSuKCSQnUPAyLM6loiIJVTA5KDWrrUxfrybN9900cK/kjH8Oqu1/I3FZHRrtf8/6MqgOH8OTrMg8kN2z6VFlwvq1QtTr96e3c5b5MD/cqGwEH+THP7Z7yQ+mFdBfr6TqVNdTJ3qwukM0759kO6ddnBxk+XUPStXlyoTzKxZDvr181Any433v7Mp3r3qN58LEZHqRgVM9mv5cjvjxrl57z0n4bCNRo1C3HBrY/wTc3B9G5nVymibe/AXycg49OWljAxYvJji+YsIGHmclZHKWReUM3x4OStX2snPd5Kf7+SrT3089+mZ5FHIj+kGha/O5bSOaZX3HyxVprDQTs+eqbhc8MorZTTISSeALjuKSPWmAiZ7hcOwYIGDsWPdzJoV+Wg0bRrk7rsr6N49gMPhYceVf5zVitp+iprNBqeeGuLUUyu4//4Kdn70JU2ui8y+HVdicnmP73Gd0ZLevSvo0iWIzba/Fxarbd1q47rrUvF6bTz3XBktW4asjiQiEhdUwASAT2eUMW3Et7xd0IwSnHToEOCuu/ZTbg5nVqsK1OyQSyA7sqZs97EGdRoZzPjUyWefOTnllCC9e1dw8cUBnPpEx43ycvjb31JYv95Onz7lXHqpznkUEfmF9gGr5vx+GPKQn7wbO/FSwRmsSm/Nh+9s5n//K6Nr1ziaWcqIrCkrnjET36ez+fcUBzNnlnDppX4KCuzcdlsq7dqlM2mSi9JSq8NKOAz33ZfCokVOLr3UzwMPVFgdSUQkrqiAVWObNtm49NJUFry4hrw9i+uPLymkTfpKi5MdwC+zb3sufTZtGuK553wsWFDCTTdVsGWLjYcfTqFly3T+NbyC8nmLIwcOSsyNG+fm7bddtGwZZMwYX/wUeRGROKECVk19+qmDbt3SWLTISeOLcqhonAOQkFsDnHhimMcfL2fJkhLuvbccj7+Eq0d3pOHl3bC17UJgh0pYLE2b5mToUA/HHhvi5ZfLSE21OpGISPxRAatmQiEYO9bNFVeksnOnjWHDfIyZ6GTnx5HLe8X5cxJ2a4CsrDAPP1zB4pcX753Rq1tk0rvbOj76yEE4bHHAamDpUjt33plCWlqY114r+3W7ERER+Q0VsGpkxw644YZUhg71UL9+mHffLaVnT3/k8tDvLu8lMtdpeQSyIzN6G2safLShKdddl8bll6eyfLk+8lVl83clPPV/y3CUeXnuuTJOOUV3PIqIHIh+GlUTy5fbOfvsdD76yMlZZwX45JNSWrVK0h+Q+yzYd309m/fn2unWLcCnnzo5++w07r47hZ9/1qKkyrRjg5e0zl34YHsH1tZtzbln7LQ6kohIXFMBS3ZeL58M/Zorzg+xfr2d++4r5803y6hbN8kvDe0zo5ebG+KNN8p4883SPf/uol27dJ54wk3pFi/OJVqsH41Nm2z0u3Qdjcojl32ztpo4zQKLU4mIxDcVsCRWvs1LxWlduHpsJ74ItOHtl7bw0EMVOBxWJ7NGly5BZs0q5amnfKSnh3lmlJ/y5l3JPL8bmed2Vgn7E777zkb37mm8/0MzNtUygMS8kUNEJNZUwJKU3w9P3LiWY3eZAOSECulWf4XFqazncMB11/lZuLCEoVd/TU4wMmvjXLOa1f81LU6XWL75xs6FF6axYYOdux9x4fxqdsLfyCEiEisqYEkoGIQ770zhxUXN+SEtcl6jZiV+KyMDrhnaBN9JkcX6BeRy7v2tuP32FDZu1PqwQ5k3z8Gll6ZRXGxj1Cgf99xTkVQ3coiIVDUVsCQTDkOfPh7++18Xp7ZNgUWzNCtxIBkZ7J4ZWay/7s25NG6WypQpLjp0SGf0aDdlZVYHjE/Tpjm55ppU/H544QUfN9zgtzqSiEjCUQFLIuEwDBjg4bXX3DRrFuT118tIO1qzEge1Z9amdZdU8vNLGT3aR1pamOHDPZx5ZjrTpjm1f9g+/v1vFz17puBywRtvlHHRRTrfUUTkz1ABSyIjR7p57jk3hhHkzTfLOOooqxMlFocDrr3Wz4IFJfTqVcGmTTZuvjmVyy5LpfDL0mp9t2Q4DE895aZPnxTq1Anzv/+VcuaZQatjiYgkLBWwJDFhgotRozyccEKIt98uo04dTdv8WUcdBQMHljNvXgnnnBPg6/k+6l7Qmczzu1GjW+dqV8JCIejXz8OIER6OOy7EtGmlNG+epHvIiYjEiApYEnjlFRcDB6ZwzDEh3nmnlPr1Vb4qQ+PGYV5/vYypjy3Ze7RRyrrVvPrQtxQXWxwuRvzFXkZftYzJL1SQmxtk+vRSGjfW50tEJFoqYAluyhQnffp4qFMnxDvvlHHCCfrhWNlaXJuDv0nkbsk1jlwGvNWC1q0zeOopd1JPhi2aVUZZ066MmNOR5SmteW/yFo45Rp8vEZHKoAKWwGbMcHLnnSnUqAFvvVVGdrYuC1WJjAx2fBS5WzJl+Sz6DHTidIYZMcJDmzbpPPecC5/P6pCVZ/t2uOceD4OvWkfjisjM30m+Qupu1u72IiKVRQUsEXm9LJ/4Fff0DODxwOTJpTRtqvJVpfbcLZlSN4NevfwsXlzCP/9ZTnm5jf79U2jXLp1XX3XhT+AdGcJh+M9/nJxxRjqTJ7sJ5ebiPS4y86d95EREKpcKWKLxekk9qzNdH+nM5/42vP5cEW3aqHzFWo0a8MADFSxe7OXOO8spLrZx//0pnHFGOu++7sO+OLHumFyzxk6PHqncdVcqZWU2Hn3Ux7sz7ZTNnaN95EREqoAKWILZ+XkhGRtWA5BLIZ3q6nghK9WuDQMGVLBoUQl//3sFOzaUcMa9Z1GnezdCrbqwcXWJ1REPyueDESPcdOmSxmefOTn33ACfflrCHXf4cbnQ7vYiIlVEBSyBBAJw69gWFKDjheJNvXphRowo5/OJX+69Y7LedpN/dPyeq69OZfp0Z3xdntxzGfuCs8I89ZSHOnXCvPRSGa+8UsZxx2mhvYhIVVMBSyDDhrmZvbgWA877nO0f6LJQPKp7Vi6B7Mi6qe1HG7hOy2PmTCd//3sqzZunM3iwm7VrrTtrcvt2eOdlH6WndqXrI5156/u29L5pO599VkL37gFsOgZTRCQmbOEEOmelqGh33IXNyqpBUdHuKn+fDz90cMMNaZx0UoiPPy5Jql3uYzWGMeP14jQLIrOTGRmsWmVn8mQXb73lYseOSMPp0CHAjZcVc3Hj5Tia5UVdpA82hlu22Jgxw8m0aU4++8xBy+AiFtJu7+PFM2ZGLjNWY0n3GbSAxjB6GsPoxdsYZmXVOOBfa52xDCJ/zg8/2OjdO5WUlDCTJumIobj3y7qpPU4+OcSQIeX061fOBx84ee01F1/P93Hm52dRn0LWenIZeslnGC3TaN48yMknh0hJ+ZPvvaf8bah5MtNm12L6dCcLFjgIhyPfA1q0CHLhOU0oezOH1B9W6zK2iIhFVMDiXHk59OyZys6dNsaMKePUU3XHY6JKSYEePQL06BFg83tfktczslasUXkhK95aw4tvtQXA6QxjGCGaNw/SrFmI03N2cgorKTkxjxJbDUpKbJSWQkmJjZISKC21YbfD9vXl3DC+C5nbTX4ml2EsptTmoXXrIBdeGKB798Ce9V1uvLfNwbfPLJ2IiMSWClic69/fw9KlDq66ys811wSsjiOVpF7XyFox55rV+JvkMGrciXy9poylSx0sXepg5Uo7K1c6eHeyl8V0pgGFFJBLRxZTQvp+X7MN39EHE4A8CpnQ6ytOv/106tXbz5X7383SiYhIbKmAxbEpU5y8/LKbvLwgI0Yk0VbrAhkZFOfP2btWLDcjjdxWAa6+OlKyAwFYvdrO5veWkPdUZKYsj0J6d1nKxuNak5YG6elh0tPDpKXBMcekgLcRu4YaHLXRJJCdw/kPZENG3C2bFBERLCxghmGMBkoBL9AcuMc0zZ+tyhNvVq+2c//9KaSnR9Z9paVZnUgq3UFmoZzOyNqxk4/PITAtMlMWyM7hvkmNIKP8D8/PykqhqCiF8vNnU6xLiyIicc/KGbAS0zT7ARiG8SDQF+htYZ64UVICN9+cQmmpjRdeKKNJE81iVFu/myk7ZKnSpUURkYRgWQH7pXztYScyE1bthcPQp08KpumgZ88KLrlE676qPZUqEZGkU6X7gBmGkQ/U289DA0zTfG/Pc2oB/wUuM01z+8FeLxAIhp1OR+UHjSPPPw//+Ae0aQOffgput9WJRERE5E864D5glm7EahhGTeAZoK9pmusO9fxk34h15cJS+vdYx7q0U3hvlq3aHAkTbxvnJSKNYXQ0ftHTGEZPYxi9eBvDg23EatlRRIZh1AWeBvqYprnOMIzLrMoSD0o2e2nYozOf+tuzMr01x2XGzwdIREREKpeVZ0F+BDQDXjcMYw7wNwuzWO61h7+jiT+y3UDNjSZOs8DiRCIiIlJVrFyEf7pV7x1vvvjCwYjpp3G1O5fGFYU6HkZERCTJaSNWi5WWwt13p1Bmt7H2P3OonbpSeziJiIgkORUwiw0f7uH77+306lXBaR3TCKDtBkRERJKdlWvAqr3Fi+08/7yLRo1CPPjgH3c3FxERkeSkAmYRnw/uuScFgDFjfKSmWhxIREREYkYFzCKjRrlZs8bBzTf7adcuaHUcERERiSEVMAt8842dp592c/zxIfr21aVHERGR6kYFLMYqKiJ3PQaDNkaP9pGebnUiERERiTUVsBgbPdpNQYGDG26o4MwzdelRRESkOlIBi6EVK+yMHevm2GNDPPqoLj2KiIhUVypgMeL3Ry49BgI2nnzSR40aVicSERERq6iAxcjTT7tZvtzB1Vf76dpVlx5FRESqMxWwGCgstDNqlJt69UIMGuSzOo6IiIhYTAWsioV2eZl4y1JcFSWMGuWjVi2rE4mIiIjVVMCqkteLo10X/m2eQWGNVpx7xk6rE4mIiEgcUAGrQru+KKTuVhOAhrtNnGaBxYlEREQkHqiAVaFH3zqNAnIBCGTnEDDyLE4kIiIi8cBpdYBk9cUXDl5/twZrmy5g2oglhPLyICPD6lgiIiISB1TAqoDfDw895MFmCzNwlJNQi9ZWRxIREZE4okuQVWDSJBcFBQ6uu85PixYhq+OIiIhInFEBq2SbN9t44gkPmZlhHnmkwuo4IiIiEod0CbKSDRzoweu1MWqUjzp1wlbHERERkTikGbBK9PnnDqZMcdGiRZBrr/VbHUdERETilApYJdl34f2IET4cDqsTiYiISLxSAaskEye6KCzUwnsRERE5NBWwSvDzzzZGjowsvO/bt9zqOCIiIhLntAi/Euy78L52bavTiIiISLzTDFiU5syBqVO18F5EREQOnwpYFPx+uOMOtPBeREREjogKWBQmTnSxahVaeC8iIiJHRAXsT9qytoRZw7/huEyvFt6LiIjIEVEB+zO8Xmqe05k5vvYs9bSmtttrdSIRERFJICpgf8Lq/5o03G0CkPlzIU6zwOJEIiIikkhUwI5QKAR9Xm5BAbmRL+TmEjDyrA0lIiIiCUUF7Ai99ZaTL5bXZMjFn1M8YyYsXgwZGVbHEhERkQSijViPgNcLQ4d6SE0N02eQi8CxrSPlq2y31dFEREQkgWgG7AiMHetm82Y7d9xRwbHHhq2OIyIiIglKBeww/fCDjWefddOgQYg776ywOo6IiIgkMBWwwzRokIfychv9+5eTlmZ1GhEREUlkKmCH4fPPHUyf7qJVqyA9egSsjiMiIiIJzrJF+IZh3A00BVYDZwAjTNP8wqo8BxIMQt++HgCGDvVhs1kcSERERBKelTNgHqC3aZpPAC8Dgy3MckCTJ7tYudLBlVfqvEcRERGpHJbNgO0pXr9oAqyyKsuB7NoFw4e7SUsL06+fznsUERGRylGlBcwwjHyg3n4eGmCa5nuGYdQHHgZaAD0O9XqZmWk4nY5KTnlgTzwBW7fCkCHQtOmBN1vNyqoRs0zJSmMYPY1hdDR+0dMYRk9jGL1EGUNbOGz9flaGYXQlsgaszcGeV1S0O2Zh1661ceaZ6dSvH2b+/BJSU/f/vKysGhQVaSPWaGgMo6cxjI7GL3oaw+hpDKMXb2OYlVXjgCvHLVsDZhhGn31+uw5oZFWW/Rk40IPfb+PRR8sPWL5ERERE/gwrjyI63jCMJ4GtQHOgp4VZfmPuXAcffuiiXbsAF12kbSdERESkclm5CL+3Ve99MIEA9O/vwWYLM3RoubadEBERkUqnjVh/540Xyjmq8EtuuqKYpk217YSIiIhUPhWwfQR2eLlw0JkspB0TFrcHr9fqSCIiIpKEVMD24SgsICdUCIBn3WqcZoHFiURERCQZqYDtw3ZqHoHsHAAC2TkEjDyLE4mIiEgysvIuyPiTkUFx/hycZkGkfGUcePNVERERkT9LBez3MjIItGxtdQoRERFJYroEKSIiIhJjKmAiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjtnA4bHUGERERkWpFM2AiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjKmAiIiIiMaYCJiIiIhJjTqsDJAPDMNzA/UAJcDKwzTTNvtamSkyGYfQD7jFNs67VWRKJYRijgVLACzQnMoY/W5sqMRiGcTbQA9gChE3THGRxpIRiGEZjYAjwFdCQyPe/wdamSjyGYaQCC4GPTNN8wOo8icYwDAO4GigDOgEDTdNcZG2qg1MBqxwPAnNN05wHYBhGM4vzJCTDMDoDmVbnSFAlpmn2AzAM40GgL9Db2kjxzzCMNOBZ4BTTNMsNw5hiGEY30zRnWp0tgdQG/mOa5rsAhmGsMgzjfdM0l1icK9EMAb62OkQiMgzDATwFXGSaZsgwjFeAgMWxDkkFrHJcA6w3DON0oA7wL4vzJBzDMOoBVwEjgBstjpNwfilfe9iJzITJobUHfjBNs3zP7z8DugMqYIfJNM3Fv/uSncjVADlMhmFcT+Sz1wzIsDhOImoN2IDee/5StQ14wdpIh6YCdpgMw8gH6u3noQHAiUQuXYzZcznjLaBz7NIlhkOM4SXAA0DNmIZKIAcbP9M039vznFrAX4DLYpnt/9u7f1Ct6jiO428QtPBPgyFE0I0QPhiIQ23mcAUJkQaxpaHFhowQXQRzMEIiNxXMQZc7CE5OTQ0NhSCFNPs17thSKHgdEiVoOI9wF/Vesd/vHs77BQ885zzLh8PzPHzO73fO74zYNuDBsu2l2T69gCQHgR+r6nbvLGOR5F1gR1Wdcvbkhc0xnEx9UlX3k1wFHgELXVM9hwVsharqw6d9lmSJYe4e4AawJ8m6qvq3SbiReNoxTPI+8Bj4nGEK8tUkJ4HrVfVHw4hr2rO+gwBJXgMuAYer6l6bVKP3F7B52faW2T6tUpJ5YB443jvLyBwEHs7+8z4A1ic5XlXnO+cakyXgdlXdn23fYBgEWegVaCUsYC/HT8A7QDE08ZBSPKoAAAG1SURBVEXL18pV1S3gFkCSt4HPqups11Ajk+R14Dxwoqr+THKoqq73zjUCN4G5JBtm05C7GUqsViHJAWAPcAx4I8lcVd3sHGsUqurbJ++TvAJssnyt2q/A1mUDH3PAnc6ZnsuHcb8ESd4EvgEWgR3AxbV+98ValGQ7cAT4AvgOOFdVXkuyAkl+ZzihejLy9aCqPuoYaTSS7AM+Bv4GHnsX5OokeQ/4mdlJFLAR+L6qFrqFGqEkh4AvgfUMx+9a50ijMpv+3svwO34LOFpV//RN9WwWMEmSpMZciFWSJKkxC5gkSVJjFjBJkqTGLGCSJEmNWcAkSZIas4BJkiQ1ZgGTJElqzJXwJU1SkjPAV7PXL8BVYGH5yuSS9H9xIVZJk5XkLMOq2ZeBXVV1oXMkSRPhCJikKTvN8Aidk8D+zlkkTYjXgEmarKp6BPwG7AS2dY4jaUIsYJImK8mnwA/AReBK5ziSJsQCJmmSkhwDvgbuAovA/iTXkmzsm0zSFHgRviRJUmOOgEmSJDVmAZMkSWrMAiZJktSYBUySJKkxC5gkSVJjFjBJkqTGLGCSJEmNWcAkSZIa+w+baS7k8cL59gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_06.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Noisy Data" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "75d3a6a6-a940-4a49-b35d-29f21880ab95" + }, + "outputs": [], + "source": [ + "xn = np.linspace(-2 * np.pi, 2 * np.pi, 50) \n", + "xn = xn + 0.15 * np.random.standard_normal(len(xn)) \n", + "yn = f(xn) + 0.25 * np.random.standard_normal(len(xn)) " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "f6f9c05f-1f96-48ee-aaca-f4d80c3d3ac5" + }, + "outputs": [], + "source": [ + "reg = np.polyfit(xn, yn, 7)\n", + "ry = np.polyval(reg, xn)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "9a475222-3bfd-4300-951b-94e60792c6da" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), ry], ['b', 'r.'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_07.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Unsorted Data" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "uuid": "8ea85cdb-47f2-4967-b684-7894d9964e76" + }, + "outputs": [], + "source": [ + "xu = np.random.rand(50) * 4 * np.pi - 2 * np.pi \n", + "yu = f(xu)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "0034edf5-1cef-4eea-be44-c69103fe6eb2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 5.19 5.44 0.31 6.03 -5.98 -0.25 -0.35 -2.38 0.89 -0.7 ]\n", + "[ 1.71 1.97 0.45 2.76 -2.69 -0.37 -0.51 -1.88 1.22 -0.99]\n" + ] + } + ], + "source": [ + "print(xu[:10].round(2)) \n", + "print(yu[:10].round(2)) " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "uuid": "d7f5f003-1cb8-4432-a8d6-cb4bef1a101a" + }, + "outputs": [], + "source": [ + "reg = np.polyfit(xu, yu, 5)\n", + "ry = np.polyval(reg, xu)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "40177962-0363-479c-bdbd-451a4c043060" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([xu, xu], [yu, ry], ['b.', 'ro'],\n", + " ['f(x)', 'regression'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_08.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Multiple Dimensions" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "82b95a7b-9e3e-4dc8-b313-1af775b06b8b" + }, + "outputs": [], + "source": [ + "def fm(p):\n", + " x, y = p\n", + " return np.sin(x) + 0.25 * x + np.sqrt(y) + 0.05 * y ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "x = np.linspace(0, 10, 20)\n", + "y = np.linspace(0, 10, 20)\n", + "X, Y = np.meshgrid(x, y) " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "b03b67ac-f7df-41d1-9dab-1e074e8738fa" + }, + "outputs": [], + "source": [ + "Z = fm((X, Y))\n", + "x = X.flatten() \n", + "y = Y.flatten() " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "52a91ef7-33c4-4de1-b69b-ea4d740aa252" + }, + "outputs": [], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "52a91ef7-33c4-4de1-b69b-ea4d740aa252" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.gca(projection='3d')\n", + "surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=2,\n", + " cmap='coolwarm', linewidth=0.5,\n", + " antialiased=True)\n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.set_zlabel('f(x, y)')\n", + "fig.colorbar(surf, shrink=0.5, aspect=5)\n", + "# plt.savefig('../../images/ch11/math_09.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "5918f2cf-3ead-4b80-980e-4a375ee159db" + }, + "outputs": [], + "source": [ + "matrix = np.zeros((len(x), 6 + 1))\n", + "matrix[:, 6] = np.sqrt(y) \n", + "matrix[:, 5] = np.sin(x) \n", + "matrix[:, 4] = y ** 2\n", + "matrix[:, 3] = x ** 2\n", + "matrix[:, 2] = y\n", + "matrix[:, 1] = x\n", + "matrix[:, 0] = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "uuid": "b9eb74bd-9280-4d8b-ae7d-8853911389cb" + }, + "outputs": [], + "source": [ + "reg = np.linalg.lstsq(matrix, fm((x, y)), rcond=None)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "RZ = np.dot(matrix, reg).reshape((20, 20)) " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "scrolled": true, + "uuid": "096451ce-173a-43b5-b81f-9dac26df2702" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.gca(projection='3d')\n", + "surf1 = ax.plot_surface(X, Y, Z, rstride=2, cstride=2,\n", + " cmap=mpl.cm.coolwarm, linewidth=0.5,\n", + " antialiased=True) \n", + "surf2 = ax.plot_wireframe(X, Y, RZ, rstride=2, cstride=2,\n", + " label='regression') \n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.set_zlabel('f(x, y)')\n", + "ax.legend()\n", + "fig.colorbar(surf, shrink=0.5, aspect=5)\n", + "# plt.savefig('../../images/ch11/math_10.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpolation" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "uuid": "5e345542-f425-4630-9eae-0a446927ad73" + }, + "outputs": [], + "source": [ + "import scipy.interpolate as spi " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "uuid": "20200433-3e90-4bb6-be5a-8e6a1360989e" + }, + "outputs": [], + "source": [ + "x = np.linspace(-2 * np.pi, 2 * np.pi, 25)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "uuid": "6e3caa90-2a2a-4429-8536-ab25091a5640" + }, + "outputs": [], + "source": [ + "def f(x):\n", + " return np.sin(x) + 0.5 * x" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "afdb9c45-1b12-4358-ba3e-a1bc3c4d32db" + }, + "outputs": [], + "source": [ + "ipo = spi.splrep(x, f(x), k=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "uuid": "7217594a-3398-4dfd-9d16-f90ee0f24bd9" + }, + "outputs": [], + "source": [ + "iy = spi.splev(x, ipo) " + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "b9cacc73-786b-4c6b-ad5f-e4d22729c17e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(f(x), iy) " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "89d96d0e-dabd-490f-acad-15bba904b546" + }, + "outputs": [ + { + "data": { + "image/png": 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44PPPoWFDuyuKC1dlJxzRhsIwjHOAc4B+B7puy5ZAfAo6DDk5tSgq2mZ3GQlNYxg7jWFsNH6x2zWGvsIC/FMm41mzmnBuYwL9BhLM7253eQkhmd+H5eVw+eV+duzw8PDDJfj9IYqKqv51nDaGOTm1Kj1n9xowDMO4EDgf6AscZxhGG5tLEhGRI+ArLCCrdy+8q1bgCofxrlpBVu9e+AoL7C5NbDZpUjqffurh0kvLueSS1Gs5EY2tAWzngvtngTOBt4EXAcPOmkRE5Mj4p0yOfnzqvXGuRJzkww89TJ2aToMGESZMSM2WE9HYvQj/f0CKPoAqIpL4wmH47DM3H30Ew1etjn7RqtU88UQarVuHMYwIbtvvvUi8/Por3HxzRcuJhx4qoVbld+RSjiPWgImISOLYvNnF2297mD/fyzvvePjll4pE1Y08mrF8v+tXWHkMHpwBwFFHWbRsGaZ16zCtWoU57bQwmZlxLV/ixLJg0KAMNmxwM3hwkJYtU7flRDQKYCIickC7ZrnmzfOyYIGXzz5zY1kVD3fVqxfhqqvKuOSSdI75rj/067Xf52eM7M/kWqUsWeJh8WIP8+Z5mTev4sdPWppF8+YRWreuCGUtW4apW/e3T+drYX9ievZZLy++mEarViH69UvtlhPROKYNxaEoKtrmuGKd9sRFItIYxk5jGJtUHb8DBZuiIhfvvLP/LJfXa9GqVZgOHcJ07BgiLy+Cy7XPU5BT793zNfsO2C8sbdzoYskSz+4/n3/uJhze87T+KadUzI61bh3mguJnOfXO6/arvXjGzKQLYcn0PvzySxcdO9bA7Ya3395Bgwbx+fHttDHMyalVaRsKBbAYOe0vOxFpDGOnMYxNKo7fricW9/XUhU9y7w9X7jfL1bFjiA4dwrRvH4q6jieWMdyxA5Yu9eyeIfvkEw/bt1e89jKa0zzKbc1QXlO2vLPoiF7PqZLlfVheDl26+Fm61MNDD5XQrVv8nnp02hgeKIDpFqSISAqq7InFZq/cw3Lv1Zx11p5ZriZNKma5qkuNGtCuXZh27cJAxS3PlSvdLFni4fdDV0KUX709aypZ8C+22TWj6lq9msetPOa3Gky3bhfZXZZjKYCJiKSgygJMM89KTHO7rU+reTzQrFmEZs0iWE82hlUr9rtmjSePT+d76NAhXK3hUA7NvjOqzVlO8yU9KS5MvlvFVUUPA4uIpJjSUvja3yTquYjR2FGtAgL9BkY9PjJ4Bz16+Ln44kw+/lg/yuymHnCHT+9aEZEUsmULXHppJkO2DYt6PtB3QJwrOrBgfneKZ8wklNcUy+sllNeU4hkz6f12V849N8SHH3q58MIaXHNNBqtX60eaXdxm9BlV3SqunN6tIiIp4ttvXXTu7GfxYi/Bi7vx87T9g40TbxcF87uz5Z1FbP7hF7a8s4hgfnd+//sIs2eX8NJLAVq1CvH662m0b++nT58MvvtO9yTjacECDyutvKjnwrmN41xN4lAAExFJAcuXu+nUyc/atR5uvrmMhx8uJXLZ/sEm0Zx5Zpi5c0t46qkAjRtHePbZNNq0qcHw4T42b1YQq25z5ni5+upM/ukZEvW802ZUnUQBTEQkyS1Y4KFrVz9FRS7Gji1l5MhgUm0H5HLBeeeFWbAgwIMPlnDccRaPPJJOy5Y1mDQpne3b7a4w+VgWTJ6czq23ZlKzJlz234ui3ipOxFAfL+oDFiOn9RxJRBrD2GkMY5PM4/fMM14GDMjA64Xp00vp0qV6ejI5aQyDQZg1K417701n82Y3depE6N+/jGuvLcfns7u6yjlpDA8kFILbb/cxa1Y6J54YYc6cEk491RnbDDltDA/UByyJfgcSEZFdLAvuuSedvn0zycqCgoKSagtfTuPzwQ03lLNkyQ5uvz1IMOhi+PAM2rSpwZw5XsJhuytMXNu3wzXXZDJrVjrNmoV59dWAY8JXolEAExFJMqEQDBzoY+JEHw0aRHj55QCtW6de6qhZEwYOLOPjj3dw441lbNrk4tZbMznnHD+rRhSS3b4Ndetlk92+Db7CArvLdbxNm1xccomfefO8nHNOiBdfDHDssY67MZUw1IhVRCSJbN8Of/97JvPmeWnePMzs2SUp/0OyTh2L0aOD/P3vZUya5IM5Bfx59bW7z3tXrSCrdy+KQWuWKrF+vYvLL/fz7bduevQo5557SklLs7uqxKYZMBGRJLFpk4v8/IoZig4dQrzwgmYo9la/vsXUqaX863djo55X09DoPv7YzYUXVoSv224LMmWKwldVUAATEUkC69e76NTJz7JlHq68soxZs0qoWdPuqpzJ/00lzUFXrebLL9W6Ym+vvuqlWzc/W7e6uO++UgYPLtPWT1VEAUxEJMEtWbJnhmLQoCD33RfUDMUBVNYcdIWVR9u2NRg82MfGjUoZjz2WxnXXZeB2w1NPlXDVVeV2l5RUFMBERBLYK6946d69YoZiypQSBg3SDMXBVLa/5M9/G8iJJ1o88UQ6rVvXYNy4dLZujXNxDhCJwOjR6QwZkkHduhYvvhigY8fUe4ijuimAiYgkqMceS6NXrz0zFFdemRptJmJV2f6Szcbms3DhDiZNKqVWLYspU3y0bFmTadPSKCmxu+r4CAbh5pszmDbNx8knR3j11QAtWqjNRHVQI9YYOa3pWyLSGMZOYxibRBu/SATGjEln2jQfOTkRnn66xPYfkok2hgcTCMCjj6bzwAPpbN3qol69CLfdVkaPHuV4q6l/gN1juHUrXHddJgsXemnZMsysWQGOPtq2co6I3WO4LzViFRFJcL7Cgt19q0pzz6JoWiGnnBLWDEU18fvh1lvL+Pjj7dx6a5Bff3UxcGAG7drVYO5cLwk0d3FINmxw0bWrn4ULvXTqVE5BQeKFr0SjACYi4nC+wgKyevfCu2oFrnCYhsVfMIcevHvTkzRsmGRJwGFq14bhw8tYvHgH115bxtdfu7j++kzOP9/Pu+967C6vSqxcWbFR+6pVHm64oYzHHislM9PuqpKfApiIiMP5p0yOevyYx9S3Kl6OO85i0qQgH3ywg/z8cj77zMOll/rp1i2TTz9NvB+lu2ZU6xyXTZ0Obfjzj88xYkQpY8cG8SRHrnS8xHvXiIikGM+a6H2rKjsu1adRI4sZM0qZN28H55wT4v33vZx/fg2uvz6DLQ/9JyG2N9p7RtUdCdM0spw59GDA8c/oCdo4UgATEXG4zcc0iXq8sn5WUv2aN4/w7LMl/Pe/Ac44I4x/7n/IHXHd7tvEu7Y3clII274dXn/dw9Y7os+caieA+NJekCIiDrZ+vYuHfh7Kv7lyv3OBvgNsqEj21rZtxYMQ3jPGwvf7ny+/+z5+anMpxx0X/7V6lgVr1riZP9/D/PleFi/2UFbmopxVUa/XjGp8KYCJiDhUWRncdFMmn5X14Jobymm/aBKeNasJ5zYm0HeANo52CJcLsn+MHmqyvl9F3eY1adAgQuvWYVq1CtO6dZjc3AjuargHtX07vP++l/nzPbz9tpfvvtvzIs2ahenYMUSgsDFZ36zY73M1oxpfCmAiIg41cWI6n33m4fLLy2k+Lp8t5NtdklQinNsY76r9Q83PxzThvNNCLFni4fnn03j++Yo9omrXtmjZck8gO+20I+s0b1lgmhWzXAsWePnoIw/l5RULuY46yuKii8rp2DHEOeeE92zM3mQg9O6139fSjGp8KYCJiDjQBx94eOCBdBo2jDB+fKnd5chBBPoNJCtKqPHf3Z+n8kuIRGDtWjeLF3tYssTD4sUe3nrLy1tvVfwYTk+3OOMMOP10H61aVQSzOnUsfIUF+KdM3jPz2W8gP5/bnfff9zJvXsUs1/ff75nlat68YparQ4cwZ5wRjto0NpjfnWIq1nxpRtU+6oQfI6d13U1EGsPYaQxj47Tx27IFzjmnBhs3unj55QBnnOH8RqtOG0M7+AoLDivUbNzo2h3GlizxsHy5h/BeE2F9j32aKRuv2u/zrvY8zexwD6BiJu3ss0N06LDPLFeKctr78ECd8DUDJiLiIJYFt92WwQ8/uLnjjmBChC+pEMzvflizSMcea9GlS4guXSr28MzMrMUbbwR2h7Ib3psQ9fPuTJvAMbdeQseOIU4/PVJtWyNJ9dJfm4iIg8yZ42Xu3DRatw7Rt2+Z3eVIHNWsCX/+c5g//7liGqxuvZUQZWlYbmglQ4bovZHo1AdMRMQhvvzSxZAhGWRlWUyfXqqO5CmusqcS9bRiclAAExFxgPLyipYTgYCLSZNKOfHE1F7LIxUL+6Me19OKSUEBTETEASZNSufTTz1cemk5+fkhu8sRBwjmd6d4xkxCeU2xvF5CeU0pnjFTTysmCa0BExGx2aJFHqZOrWg5MWGCWk7IHoe7sF8Sh2bARERs9OuvcMstGbjdMH16CbVq2V2RiMSDApiIiE0sCwYNymDDBjcDB5bRsqVaToikCgUwERGbPPuslxdfTKNVqxD9+qmtgEgqsXUNmGEYxwFjgBamaba0sxYRkXja1XKiVq2KlhNqpimSWuyeAWsLvAhU2qpfRCTZlJfDzTdnsmOHi4kTS2nQQC0nRFKNrQHMNM0CwDmbNomIxME996SzdKmH7t3L6dZNLSdEUpHtm3EbhnE2cI9pmn882LWhUNjyetUaWkQS13vvwdlnQ8OG8NlncNRRdlckItUoOTbj3rIlYHcJ+3HazuuJSGMYO41hbOI1flu3wlVX1cDtdjFtWoCysghFRdX+snGh92DsNIaxc9oY5uRU3lfG7jVgIiIpYVfLie+/dzNgQBmtWqnlhEgqszWAGYbRHugJ1DMMY7hhGJl21iMiUl2ee87LCy+k0bJlmP791XJCJNXZegvSNM13gXftrEFEpLp99ZWLO+7Y1XKiRC0nRCSx1oCJiCSavVtOTJ9eQsOGajkhIloDJiJSrSZPTud///NwySXldO+ulhMiUkEBTESkmnz0kYcpU9Jp0CDCxImldpcjIg6iACYiUsV8hQVktWvDBV2z+DTSgsLLZ5GVZXdVIuIkWgMmIlKFfIUFZPXutfvj5iyHSX+l+JQIwfzuNlYmIk6iGTARkSrknzI5+vGp98a5EhFxMgUwEZEq5Fmz+rCOi0hqUgATEalCP2Y3iXo8nNs4zpWIiJMpgImIVJGvv3Zx+69Do54L9B0Q52pExMkUwEREqshdd/l4KtSD+Tf8m1BeUyyvl1BeU4pnzNQCfBH5DT0FKSJSBRYs8PD662m0aROi2dh8trjy7S5JRBxMM2AiIjEqK4Phw3243RZjxwZxueyuSEScTgFMRCRGjz6axrp1Hv7613KaNo3YXY6IJAAFMBGRGGzc6OKee3wcfXSE228P2l2OiCQIrQETEYnB3Xf72L7dxaRJQbKz7a5GRBKFZsBERI7Qxx+7ee65NJo1C3P11eV2lyMiCUQBTETkCITDMHRoBgDjxgXxeGwuSEQSigKYiMgReOaZNJYt89CtWzmtW4ftLkdEEowCmIjIYfr1Vxg7Nh2/32LECC28F5HDpwAmInKYJk3y8fPPbgYMKOO44yy7yxGRBKQAJiJyGFatcjNzZhqNGkXo3bvM7nJEJEEpgImIHCLLgmHDfITDLsaMKcXns7siEUlUCmAiIodo7lwvCxd6Oe+8EP/3f1p4LyJHTgFMROQQBAIwYoSP9HSL0aNL7S5HRBKcApiIyCG4//50Nmxwc9NNZTRqpIX3IhIbBTARkYP45hsXDz6YTr16Efr21cJ7EYmdApiIyEHcdZePYNDFiBFBata0uxoRSQYKYCIiB/D22x5eey2NM88MkZ8fsrscEUkSCmAiIpUoK4Phw3243RZjxwZxueyuSESShQKYiEglHnssjbVrPVxzTTnNmkXsLkdEkogCmIhIFBs3upg0yUd2tsUdd2i/RxGpWl67CxARcaKxY31s3+7in/8s5eij7a5GRJKNZsBERPbxySdu5sxJ4/e/D3PNNeV2lyMiSUgBTERkL5EIDB2aAcD48UE8HpsLEpGkpAAmIrKXZ55J47PPPFxySTlnnqn9HkWkehzSGjDDMDKARkAO8CvwlWmaxdVZmIhIvG3dCmPHpuP3W4wYoYX3IlJ9DhjADMPIBu4FugEhYDuQCfgNw3gH6G8eu8VCAAAf6ElEQVSa5prqLlJEJB4mTfKxebOb4cOD1Kun/R5FpPpUegvSMIws4CngReAE0zSPNk2zgWmaOUA28E9gkmEYefEpVUSk+qxe7eaxx9L43e8i9O6t/R5FpHodaAasAXCNaZo/73vCNM0y4D3DMBYBraurOBGReLAsGDbMRzjsYsyYEnw+uysSkWRXaQAzTfOLXf9tGEZz0zQ/3/u8YRjdTNP8D/BBLAUYhvF/wCXAJsAyTXNULF9PRORQ+QoL8E+ZjGWuZlokj7lNb+fcc7vaXZaIpIBDfQryfsMwau36wDCMlsCEWF/cMAw/8DAVa8lGAs0Nw+gY69cVETkYX2EBWb174V21AnckTHOWM+yLq/EVFthdmoikgEMNYGuBKYZhnGcYxiigANhcBa/fBvjGNM1djxt9AFxYBV9XROSA/FMmRz8+9d44VyIiqehQtyK6i4oWFO9R0YbiDCqeiIzVMcC2vT4u3nksquxsP16v87oi5uTUOvhFckAaw9hpDA/TmtVRD3vXrNZYHiGNW+w0hrFLlDE81AD2DlADuBEwgYmAD7gqxtffBOw9Ulk7j0W1ZUsgxperejk5tSgq2nbwC6VSGsPYaQwPX3ZuY7yrVux3PJTbmC0ay8Om92DsNIaxc9oYHigMHuotyK3AH03TnGOa5qfAzUDdKqjtQ6ChYRi7njn6E/BKFXxdEZED+uT8QVGPB/oOiHMlIpKKDjWA3Wya5k+7PjBNsxS4JdYXN00zANxExSL/McDnpmnOj/XriogcSHk5XPvq1fTgabY1agpeL6G8phTPmEkwv7vd5YlICqj0FqRhGGdR0RbiQ9M0P9n3vGma6wzDOAE4yzTN54+0ANM03wLeOtLPFxE5XI89lsaaNR7aXNuN0kmdqZVTS7cdRSSuDtQHbJFhGE8ahnENFQHpW2AHkAEcB7QFWlGxTZGISELYtMnFpEk+ate2GDJE+z2KiD0Otgh/BxXrtP4GNKdi3ddWKtpSPA903quFhIiI440d62PbNhcTJpRy9NF2VyMiqepgAazUNM0nd3bCv2DvE4ZhXKnwJSKJZOlSN888k0ZeXphrrim3uxwRSWEHC2CGYRi9qOhQf80+564Gnq6eskREqlYkAkOGZAAwfnwQ76E24RERqQYH+ydoHHANUB84Z59zJ1RLRSIi1WDOHC+ffuohP7+cNm3CdpcjIinugAHMNM2FwELDMC4xTfO/e58zDOOSaq1MRKSKbN0KY8b48PstRozQygkRsd8h9QHbN3xVdkxExInuucfH5s1u+vUr4/jjLbvLERE55EasIiIJyTTdPPpoGiedFOHGG8vsLkdEBFAAE5EkZlkwdKiPcNjF3XeXkpFhd0UiIhUUwEQkab3yipf33/fSsWOI887TwnsRcQ4FMBFJSoEAjBjhIy3NYsyYUlwuuysSEdlDAUxEktKDD6bz3Xduevcu4+STtfBeRJxFAUxEks6337p44IF0jj02woABWngvIs6jXtAiknRGjvRRWupi8uRSata0uxoRkf1pBkxEksp773l4+eU0WrYM0717yO5yRESiUgATkaRRXg7DhvlwuSzGj9fCexFxLgUwEUkaM2emYZoeevYsp3nziN3liIhUSgFMRJJCUZGLiRN91K5tMWSIFt6LiLMpgIlIUhg7Np1t21zcfnuQOnXUdkJEnE0BTEQS3tKlbp5+Op0mTcJce2253eWIiByUApiIJLRIBIYOrdjkcfz4IF411xGRBKAAJiIJ7bnnvCxd6uHii8s56yzt9ygiiUEBTEQSVnExjB7tw++3GDEiaHc5IiKHTAFMRBLWpEk+Nm9207dvGSecoIX3IpI4FMBEJCGZppvHHkujYcMIN92kthMiklgUwEQk4VhWRcf7UMjF3XeXkpFhd0UiIodHAUxEEs6rr3p57z0vHTqEOP98LbwXkcSjACYiCaWkBEaM8JGWZjFmjPZ7FJHEpAAmIgnBV1hAdvs2nHBSNnO/PY0Z58zmlFO08F5EEpMCmIg4nq+wgKzevfCuWoHHCtOc5Vz3Zk98hQV2lyYickQUwETE8fxTJkc/PvXeOFciIlI1FMBExPE8a1Yf1nEREadTABMRxws0bBz1eDg3+nEREadTABMRRysthbtKh0Y9F+g7IM7ViIhUDQUwEXG0MWN83PvDlUxvN4tQXlMsr5dQXlOKZ8wkmN/d7vJERI6I1+4CREQqs2CBh0ceSefUU8NcOOsitvgvsrskEZEqoRkwEXGkoiIXffpkkJZm8fDDpfj9dlckIlJ1FMBExHEsC/r3z6CoyM3QoUGaNYvYXZKISJVSABMRx3n88TTefNNLu3Yhbrqp3O5yRESqnG1rwAzDcAN/A+4GOpim+YVdtYiIc6xe7WbkSB/Z2RbTppXi1q+JIpKE7FyE3wJYDARsrEFEHCQYhBtvzKC01MXDD5dQr572ehSR5GRbADNN81MAwzDsKkFEHGbMGB8rV3ro2bOMTp1CdpcjIlJtXJZVfb9hGobxBnBslFN3mab50s5rvgY6H8otyFAobHm9niqtUUSc4c034fzzwTDgf/+DGjXsrkhEJGauyk5U6wyYaZrnV+XX27LFeXcrc3JqUVS0ze4yEprGMHaJPoabN7vo2dNPWpqLBx8MEAhECMTx2z3Rx88JNIax0xjGzmljmJNTq9JzWt4qIrba1XJi0yY3Q4YEad5cLSdEJPnZFsAMw8g2DGM4cBTwd8MwzrSrFhGxz7//ncYbb1S0nLj5ZrWcEJHUYOci/C3AmJ1/RCQFrVnjZsQIH7Vrq+WEiKQW7QUpIrYIBqF37wxKSlw8+KBaTohIatHvmyJii3HjfKxY4eHqq8vo3FktJ0QktSiAiUjcvfOOh4ceSufkkyPcfXfQ7nJEROJOAUyqja+wgOz2bahbL5vs9m3wFRbYXZI4wM8/u+jTJwOv1+Khh0rU70tEUpLWgEm18BUWkNW71+6PvatWkNW7F8VAML+7fYWJrSpaTvjYuNHN8OFBTjtNLSdEJDVpBkyq3JdfuigdcW/Uc4E77+OjjzyUlsa5KHGEJ59M4/XX02jbNsQ//lFmdzkiIrbRDJjErKQEFi3yMH++l/nzvXz1lZtyVkW9ts6mVXTt6ic93aJFiwitW4c491zIzXVRp46egktma9e6uesutZwQEQEFMDlCX37p2h24Fi3yUFpasd1VzZoWnTqVs+XTJuT8uP/2ntvqN+HvncpYvNjD0qVuPv7Yx7RpADU59dQwrVuHadWq4s/vfmfhqnQXLUkkwSDceGNFy4lp00o4/niFbRFJbQpgckgCgd/Ocn399Z7piyZNwnTsGKJjxzAtW4ZJTwdf4QDYaw3YLt47+zMmv+Kpt+3bYelSDytW+FmwIMQnn3h46ikPTz1VcW1OToRWrfaEsmbNItR8uQD/lMl41qwmnNuYQL+BWlOWAMaP97F8uYcrryyjSxe1nBARcVlW4vwmWlS0zXHFOm3jzyPlK9w/2KxqcSnz5lUErg8//O0sV/v2FYGrQ4dQpbMZvsIC/FPv3fM1+w6IGpZ2jWEoBKtWuVm82MOSJR4++sjDTz/tCXo9057hyfIr9/v84hkzUz6EOfl9+O67Hi691E+jRhHmzdtBzZp2V7Q/J49fotAYxk5jGDunjWFOTq1K7+MogMXIaX/ZR2LfJxZ3uYJneJYrgOizXFWlsjG0LPjuOxdLlnhYvNjDkDl/xAgu3++68rym/PrOoqorKAE57X24d6Bf5cpjbGQI177WlT/8wZlPPTpt/BKRxjB2GsPYOW0MDxTAdAtS8E+ZHPX4+FrjaD3q4gPOclUnlwsaNLBo0CBE9+4h6j61Mvp1q1azZImbVq2c+cM91ewb6PNYzmyupPjrmQT/kNozlSIiu+g5JMGzZnXU4yeVrOLqq8sds2A6nNs46vEVVh6dO9fgmmsyWLVKb2m7VRbo/VOjtyYREUlF+mmV4hYt8rDCyot6rrLAY5dAv4FRj4cHDaB16xCvv57G2Wf7+cc/Mvj2Wz0+aZfKAn1lx0VEUpECWAp74QUvl12WyQTXkKjnA30HxLmiAwvmd6d4xkxCeU2xvF5CeU0pnjGTEwddwksvlTB7doDGjSM891wabdrUYNgwH0VFCmLxFA7DhqOaRD/nsEAvImInBbAUZFkwfXoaf/97Jj4f5D97UdRg48QnC4P53dnyziI2//ALW95ZtLtGlwvOPTfM228HmD69hHr1LP71r3RatarBxInpbHPOmsykVVICf/tbBrf9MizqeacFehEROymApZhwGIYP9zFyZAb16kV46aUAf/5zuNJgk2jcbujePcSiRTsYP76UzEyLe+7x0apVDWbMSNMWSNXkl1/g0kszefnlNL47qzs/3ZcYgV5ExC5qQxEjpz3yeiAlJXDLLRm8/HIajRuHeeaZEk44wf4hrc4x3L4dHnkknQcfTGfbNhf160cYPDjIpZeG8Hiq5SVtYef78JtvXPTokcm6dR7y88u5//5SfD5bSjliifR97FQaw9hpDGPntDE8UBsKzYCliL1nKP70pxBz5wYcEb6qW82aMGBAGUuW7OCmm8ooKnJx662ZnH22n9de85JAv3840rJlbjp18rNunYdbbinjoYcSL3yJiNhBASwFfPONi86d/SxZ4iU/v5w5c0o46ii7q4qvOnUsRo0K8tFHO7jqqjLWrnVz7bWZdOrkZ9EiD77CArLbt6FuvWyy27fBV1hgd8mOt2CBh4su8rN5s4tx40oZMSKoDbZFRA6R/rlMcpqh+K0TTrC4774g770X4MILy/nf/zw8c/FLZPXuhXfVClzhMN5VK8jq3Ush7ACeftrLVVdlEonAY4+VcsMN5XaXJCKSUBTAktj8+ZqhqExuboTHHy/l9dd3MNY/Nuo1ahy6P8uCSZPS6dcvk6wseP75Ejp31ubaIiKHS1sRJamnn/YycGAGaWkwc2YpF16oH5LRnH56hLrBVVHPqXHob5WXw+DBPmbPTqdBgwhz5gQ45RQtohMRORKaD0ky+85QFBQEFL4OorIGocvDeYwdm87WrXEuyIG2b4drrslk9ux0WrQI88orCl8iIrFQAEsi5eXQv7+PSZN8NGgQ4ZVXdmiD6kNQ2RZH07NuZ+pUHy1b1uSBB9IpKYlzYQ6xcaOLiy/2M3++lw4dQhQWBjj2WIUvEZFYKIAlie3boWfPTJ5+WjMUh6uyLY6GLOvCnXcGsSy4+24frVvXYNasNEIpNKG4bp2LCy/08/nnHq66qoxZs0qoWdPuqkREEp8CWBLYNUOxYIGXjh01Q3Ekou0E4PdDnz5lfPzxdvr2DbJ1q4uBAzNo164GL73kJZLkk4uLF3u48MIafPutm8GDg9x7b5C0NLurEhFJDgpgCWjvnlX+Nm14+OyXds9QPPmkZiiqWu3aMGxYRTPXv/61jG++cXHDDZmcf76fd95Jonb6e3n5ZS+XXppJcTFMnVrCbbeV4dK+5iIiVUYBLMH4Cgt+07OqxvoVTPv5KmZ3maUZimp27LEWEycGWbhwB/n55Sxb5uGyy/x065bJ0qXJ86306KNpXH99Bm43zJ5dQo8eKXTPVUQkTpLnp0aK8E+ZHPX4ZesnaoYiTho1spgxo5T583fQoUOI99/38pe/1OC66zJYuzbxvqX2nlEta3wWy4a+QN26Fi+9FKBDh7Dd5YmIJKXE+2mR4irrTaWeVfHXrFmEOXNKKCwMcMYZYV55JY127fz07+9jwwZXQmxvtO+M6gm/fMEcevBRvydp3jzJF7mJiNhIASzBlJ8avWdVZb2spPr96U9hXn01wL//XcKpp0aYPTudyS3nOn57o1AIGB99RrXB7OjHRUSkaiiAJZhZ9e+IejzQd0CcK5G9uVxwwQUh3nknwP33lzDUNT7qdZk2b2+0caOLOXO8/O1vGTRpUhP/15pRFRGxg7YiSiBvv+3hhnlXs/xYNxOzx5O2bjXh3MYE+g4gmN/d7vIE8HjgiitC1O2/MvoFK1dz9dWZtGoVpnXrMC1ahMnIqL56QiH45BMPCxZ4mD/fy/Lle57arF8/wo+uJpz46xf7fZ5mVEVEqpcCWILYvNlFnz4ZpKVZdJl9EVubd7G7JDmAcG5jvKtW7Hd8bVoeb77p5c03K7710tMtTjstvDuQtWwZ5uijY3vtjRtduwPXu+962brVtfu12rUL0bFjiI4dw+TmRsh4YQD07rXf19CMqohI9VIASwCWBQMG+Ni0yc2ddwa1ODoBBPoNJCtKsKk/rR/LztzOkiUelizxsHixh08+8bBkiZdp0yquyc2tCGS7QtlJJ1m7n3D1FRbgnzIZz5qds5/9BrKjS3fefx/+85905s/38sUXe2a5TjwxwsUXl9OxY4i2bcP79YgL5nenGPBPvXfP19SMqohItXNZVuJ0TC8q2ua4YnNyalFUtK1aX+OJJ9IYPDiDdu1CPP98Ce4kW7kXjzG0g6+w4JCCzfbt8L//VYSxJUsqAlkgsKenSE5OhNatw1yX+QyXPH/tfp/fK/NpHi/pAVTMcp15Znj3LNepp0bUnuQQJOt7MJ40hrHTGMbOaWOYk1Or0n+BFcBiVN1/2WvWuDn3XD8+H7z77g7q1XPcEMTMad8wdguFYOVK9+5Atnixh59+crOM5jRn+X7Xr0xrzrQblnHWWQH+9Kf9Z7nk4PQejJ3GMHYaw9g5bQwPFMB0C9LBgkG48cYMSkpcPPhgSVKGL9mf1wvNm0do3jzC3/5WjmXBt9+6aNp6JUS5+9zEWsn06VBUpKapIiKJwrYAZhjGfUAA2A60APqZpvmTXfU40bhxPr74wsPVV5fRubO2g0lVLhc0bGgRMRrjjrKwP5zbWL9JiYgkGDtXE+0wTXOYaZrjgU+BYTbW4jjvvOPhoYfSOfnkCHffHbS7HHGAQL+B0Y/riUURkYRjWwAzTXP4PnVst6sWp/n554qWE16vxUMPlVCjht0ViRME87tTPGMmobymWF4vobymFM+YqScWRUQSULUuwjcM4w3g2Cin7jJN86Wd19QGCoFupmn+cqCvFwqFLa/Xc6BLEp5lQX4+vPgiTJgAt99ud0UiIiJyhJz5FKRhGEcBDwHDTNP86mDXp8JTkP/+dxqDBmXQtm2IgoLkazkRjdOeWklEGsPYaPxipzGMncYwdk4bwwM9BWnbj3fDMOoCDwKDTNP8yjCMbnbV4hRr17q56y4ftWtbTJtWmhLhS0REJBXZ+fDUmztff7ZhGADbgP/YWI+t9m45MW1aCccf77jJPhEREakitgUw0zRPt+u1nWj8eB/Ll3u46qoyunRRywkREZFkpptcDvDuux6mT0+nUSO1nBAREUkFCmA2++UXftNyQtvIiIiIJD8FMBtZFvTvn8FPP7m5444y/vCHKPvMiIiISNJRALPRU0+l8dpraZx1VohbbimzuxwRERGJEwUwm6xb5+LOOytaTjz4YCme5O4vKyIiInvRHr42KCuDG2/MJBBwcf/9JZxwglpOiIiIpBLNgNlgwoR0Pv/cQ48e5XTtqpYTIiIiqUYBLM7ef9/Dgw+m87vfRRg7ttTuckRERMQGCmBx9MsvcMstGXg88PDDajkhIiKSqhTA4sSyYMCAipYTgwer5YSIiEgqUwCrZr7CArLbt6FuvWzGv3oGd+bOpk8ftZwQERFJZQpg1chXWEBW7154V63AHQnTnOWMXnM1/pcK7C5NREREbKQAVo38UyZHPz713jhXIiIiIk6iAFaNPGtWH9ZxERERSQ0KYNWo7OTGUY+Hc6MfFxERkdSgAFaNZh53R9Tjgb4D4lyJiIiIOIkCWDVZvtzNPxZeRf/jZlPepCmW10sorynFM2YSzO9ud3kiIiJiI+0FWQ0sC4YO9RGJuDjr/ov59ewudpckIiIiDqIZsGrw3/96WbzYS6dO5Zx9dtjuckRERMRhFMCq2PbtMGqUj4wMi1GjgnaXIyIiIg6kAFbFpkxJ56ef3NxySxkNG1p2lyMiIiIOpABWhb780sXDD6dTv35E2w2JiIhIpRTAqtCdd2ZQVuZi1Kggfr/d1YiIiIhTKYBVkbfe8vDWW17atg3RuXPI7nJERETEwRTAqkAwCMOHZ+DxWIwdG8TlsrsiERERcTIFsCowY0Y6X33lplevcpo0idhdjoiIiDicAliMNmyAe+9Np06dCIMHq+2EiIiIHJwCWIxuvx0CARfDhpVx1FF2VyMiIiKJQAEsBh995GH2bDjttDBXXlludzkiIiKSIBTAjlA4XLHfI8C4caW4NZIiIiJyiBQbjtCsWWl88YWHa6+FP/5RC+9FRETk0CmAHYEtW2D8eB81a1pMmGB3NSIiIpJoFMCOwIQJPrZscXHbbUGOO87uakRERCTRKIAdpi++cPPvf6dxyilhbrhBC+9FRETk8CmAHQbLqlh4H4m4GDs2SHq63RWJiIhIIlIAOwwvvODlo4+8/OUv5ZxzTtjuckRERCRBKYAdou3bYeRIHz6fxejR6ngvIiIiR04B7BDdf386P/7o5pZbyjjpJMvuckRERCSBKYAdgi+/dDF9ejonnBDh1lvL7C5HREREEpzXrhc2DKMv0AxYA/wJmGCa5od21XMgI0ZkUFbmYuTIUvx+u6sRERGRRGfnDJgP6GOa5kTgCWC0jbVUav58D2+84aVt2xBdu4bsLkdERESSgG0zYDuD1y6nACvtqqUyZWUwbFgGHo/FmDFBXC67KxIREZFk4LKs6ltQbhjGG8CxUU7dZZrmS4ZhHAcMAf4AXGKa5uYDfb1QKGx5vZ5qqDS6iRPh9tuhTx+4//64vayIiIgkh0qnbqo1gB0qwzA6ULEGrNWBrisq2ha3Yn/6yUWbNjXIyLD48MMd1K4d/bqcnFoUFW2LV1lJSWMYO41hbDR+sdMYxk5jGDunjWFOTq1KA5hta8AMwxi014dfAY3sqiWa0aN97NjhYujQskrDl4iIiMiRsG0NGNDAMIzJwGagBXCDjbX8xuLFHgoK0mjRIsyVV2q/RxEREaladi7C72PXa1fGV1hA5pTJ/GXVapaRR/j8AXg83ewuS0RERJKMnTNgjuIrLCCrd6/dHzdnOUy8juKTLYL53W2sTERERJKNOuHv5J8yOfrxqffGuRIRERFJdgpgO3nWrD6s4yIiIiJHSgFsp3Bu48M6LiIiInKkFMB2CvQbGP143wFxrkRERESSnQLYTsH87hTPmEkorymW10sorynFM2ZqAb6IiIhUOT0FuZdgfncFLhEREal2mgETERERiTMFMBEREZE4UwATERERiTMFMBEREZE4UwATERERiTMFMBEREZE4UwATERERiTMFMBEREZE4UwATERERiTMFMBEREZE4c1mWZXcNIiIiIilFM2AiIiIicaYAJiIiIhJnCmAiIiIicaYAJiIiIhJnCmAiIiIicaYAJiIiIhJnXrsLSAaGYaQDA4EdQB7ws2maw+ytKjEZhjEc6GeaZl27a0kkhmHcBwSA7UALKsbwJ3urSgyGYfwfcAmwCbBM0xxlc0kJxTCMk4ExwFKgPhX//o22t6rEYxhGJrAYeNM0zdvsrifRGIZhAD2AEqA9MNI0zSX2VnVgCmBV43bgXdM03wMwDKO5zfUkJMMwzgay7a4jQe0wTXM4gGEYtwPDgD72luR8hmH4gYeB35umGTQM4z+GYXQ0TXO+3bUlkKOBOaZpvghgGMZKwzBeMU3zfzbXlWjGAJ/aXUQiMgzDA9wLdDFNM2IYxpNAyOayDkoBrGpcCXxrGMbpQB3gAZvrSTiGYRwLXAFMAK61uZyEsyt87eSmYiZMDq4N8I1pmsGdH38AXAgogB0i0zQ/3ueQm4q7AXKIDMPoScV7rzlQ0+ZyElFLwAX02flL1c/Av+wt6eAUwA6RYRhvAMdGOXUXcBIVty6m7Lyd8RxwdvyqSwwHGcOLgNuAo+JaVAI50PiZpvnSzmtqA+cB3eJZWwI7Bti218fFO4/JETAMIx94wzTN1XbXkigMw8gDmpimOVR3T45YQyp+mephmuZWwzCeAsqAJ2yt6iAUwA6RaZrnV3bOMIxiKu7dAywE2hmG4TFNMxyX4hJEZWNoGMYfgXKgNxW3IDMNw7gD+I9pmmvjWKKjHeg9CGAYxlHAdKCXaZq/xKeqhLcJqLXXx1k7j8lhMgzjHOAcoJ/dtSSYfKB05795bYF0wzD6maY5xea6EkkxsNo0za07P15IxSTIE3YVdCgUwKrGfKARYFKRxNcrfB060zQ/AT4BMAzjJOB60zQn2FpUgjEMoy4wBRhkmuYGwzC6mab5H7vrSgAfAg0Nw/DtvA35JypCrBwGwzAuBNoBfYF6hmE0NE3zQ5vLSgimaY7d9d+GYWQANRW+DttioM5eEx8NgTU213RQ2oy7ChiGcQIwClgPNAGmOf3pCycyDOMU4EbgJmA8cJ9pmlpLcggMw1hKxS9Uu2a+tpmm2cXGkhKGYRjnAt2BIqBcT0EeHsMwzgDeZecvUUAN4EHTNJ+wragEZBhGN+AWIJ2K8XvG5pISys7b3x2o+D5uAPQxTbPE3qoOTAFMREREJM7UiFVEREQkzhTAREREROJMAUxEREQkzhTAREREROJMAUxEREQkzhTAREREROJMAUxEREQkztQJX0RSkmEYdwNDdv55D3gKeGLvzuQiItVFjVhFJGUZhjGBiq7ZjwAtTNOcanNJIpIiNAMmIqnsLiq20LkDuMDmWkQkhWgNmIikLNM0y4AlQDPgGJvLEZEUogAmIinLMIyewFxgGvAvm8sRkRSiACYiKckwjL7ACOBnYD1wgWEYzxiGUcPeykQkFWgRvoiIiEicaQZMREREJM4UwERERETiTAFMREREJM4UwERERETiTAFMREREJM4UwERERETiTAFMREREJM4UwERERETi7P8B0JbScq2YJGYAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([x, x], [f(x), iy], ['b', 'ro'],\n", + " ['f(x)', 'interpolation'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_11.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "3daf1f42-54d8-4150-aab6-5188d1c23bdb" + }, + "outputs": [], + "source": [ + "xd = np.linspace(1.0, 3.0, 50) \n", + "iyd = spi.splev(xd, ipo)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "7ba1134b-ac71-4c3a-a0fc-b644c59effc6" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([xd, xd], [f(xd), iyd], ['b', 'ro'],\n", + " ['f(x)', 'interpolation'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_12.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "uuid": "c3d9f85f-671f-4353-beab-fad9db9f8aa4" + }, + "outputs": [], + "source": [ + "ipo = spi.splrep(x, f(x), k=3) \n", + "iyd = spi.splev(xd, ipo) " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "8c67b514-160e-40e3-8f69-da81d7579b2d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(f(xd), iyd) " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "uuid": "ecc6c2fb-faa4-4149-b71e-05ac5cddeb79" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1349319851436892e-08" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean((f(xd) - iyd) ** 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "0c3e96f1-8732-4ce6-a6ed-bbaae732d950" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "create_plot([xd, xd], [f(xd), iyd], ['b', 'ro'],\n", + " ['f(x)', 'interpolation'], ['x', 'f(x)'])\n", + "# plt.savefig('../../images/ch11/math_13.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Convex Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "a09a918e-760c-4e9c-95b8-fe3b568dacdb" + }, + "outputs": [], + "source": [ + "def fm(p):\n", + " x, y = p\n", + " return (np.sin(x) + 0.05 * x ** 2\n", + " + np.sin(y) + 0.05 * y ** 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "1f4a147b-d9d2-42d5-8553-dd95d75d8251" + }, + "outputs": [], + "source": [ + "x = np.linspace(-10, 10, 50)\n", + "y = np.linspace(-10, 10, 50)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = fm((X, Y))" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "b3a1d3b7-25eb-4ac8-81ed-ad740fd1a297" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.gca(projection='3d')\n", + "surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=2,\n", + " cmap='coolwarm', linewidth=0.5,\n", + " antialiased=True)\n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.set_zlabel('f(x, y)')\n", + "fig.colorbar(surf, shrink=0.5, aspect=5)\n", + "# plt.savefig('../../images/ch11/math_14.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Global Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "72b2e44d-2127-412e-9046-2b0c7c5bf7c6" + }, + "outputs": [], + "source": [ + "import scipy.optimize as sco " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "e6c829bb-f358-430d-9e8c-781e9d15c9e6" + }, + "outputs": [], + "source": [ + "def fo(p):\n", + " x, y = p\n", + " z = np.sin(x) + 0.05 * x ** 2 + np.sin(y) + 0.05 * y ** 2\n", + " if output == True:\n", + " print('%8.4f | %8.4f | %8.4f' % (x, y, z)) \n", + " return z" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "d1f54d32-6cb5-4cd2-8a95-ea3b92c87266" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-10.0000 | -10.0000 | 11.0880\n", + "-10.0000 | -10.0000 | 11.0880\n", + "-10.0000 | -5.0000 | 7.7529\n", + "-10.0000 | 0.0000 | 5.5440\n", + "-10.0000 | 5.0000 | 5.8351\n", + "-10.0000 | 10.0000 | 10.0000\n", + " -5.0000 | -10.0000 | 7.7529\n", + " -5.0000 | -5.0000 | 4.4178\n", + " -5.0000 | 0.0000 | 2.2089\n", + " -5.0000 | 5.0000 | 2.5000\n", + " -5.0000 | 10.0000 | 6.6649\n", + " 0.0000 | -10.0000 | 5.5440\n", + " 0.0000 | -5.0000 | 2.2089\n", + " 0.0000 | 0.0000 | 0.0000\n", + " 0.0000 | 5.0000 | 0.2911\n", + " 0.0000 | 10.0000 | 4.4560\n", + " 5.0000 | -10.0000 | 5.8351\n", + " 5.0000 | -5.0000 | 2.5000\n", + " 5.0000 | 0.0000 | 0.2911\n", + " 5.0000 | 5.0000 | 0.5822\n", + " 5.0000 | 10.0000 | 4.7471\n", + " 10.0000 | -10.0000 | 10.0000\n", + " 10.0000 | -5.0000 | 6.6649\n", + " 10.0000 | 0.0000 | 4.4560\n", + " 10.0000 | 5.0000 | 4.7471\n", + " 10.0000 | 10.0000 | 8.9120\n" + ] + }, + { + "data": { + "text/plain": [ + "array([0., 0.])" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "output = True\n", + "sco.brute(fo, ((-10, 10.1, 5), (-10, 10.1, 5)), finish=None) " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "output = False\n", + "opt1 = sco.brute(fo, ((-10, 10.1, 0.1), (-10, 10.1, 0.1)), finish=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "uuid": "dc42167b-4e8f-462c-8aad-a94afdf0a8bc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.4, -1.4])" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt1" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "uuid": "ec2669cd-36a5-4b79-a90c-761a39b12044" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.7748994599769203" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fm(opt1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Local Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " -1.4000 | -1.4000 | -1.7749\n", + " -1.4700 | -1.4000 | -1.7743\n", + " -1.4000 | -1.4700 | -1.7743\n", + " -1.3300 | -1.4700 | -1.7696\n", + " -1.4350 | -1.4175 | -1.7756\n", + " -1.4350 | -1.3475 | -1.7722\n", + " -1.4088 | -1.4394 | -1.7755\n", + " -1.4438 | -1.4569 | -1.7751\n", + " -1.4328 | -1.4427 | -1.7756\n", + " -1.4591 | -1.4208 | -1.7752\n", + " -1.4213 | -1.4347 | -1.7757\n", + " -1.4235 | -1.4096 | -1.7755\n", + " -1.4305 | -1.4344 | -1.7757\n", + " -1.4168 | -1.4516 | -1.7753\n", + " -1.4305 | -1.4260 | -1.7757\n", + " -1.4396 | -1.4257 | -1.7756\n", + " -1.4259 | -1.4325 | -1.7757\n", + " -1.4259 | -1.4241 | -1.7757\n", + " -1.4304 | -1.4177 | -1.7757\n", + " -1.4270 | -1.4288 | -1.7757\n", + "Warning: Maximum number of function evaluations has been exceeded.\n" + ] + } + ], + "source": [ + "output = True\n", + "opt2 = sco.fmin(fo, opt1, xtol=0.001, ftol=0.001,\n", + " maxiter=15, maxfun=20) " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "uuid": "e451a278-e2ae-4d86-b357-f230468052a4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.42702972, -1.42876755])" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt2" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "scrolled": true, + "uuid": "0352d556-6ea7-47a6-9c76-e4a56c0efed7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.7757246992239009" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fm(opt2)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "uuid": "ff9beaf9-73d7-4157-85cb-24783abae775" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.015826\n", + " Iterations: 46\n", + " Function evaluations: 86\n" + ] + }, + { + "data": { + "text/plain": [ + "array([4.2710728 , 4.27106945])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "output = False\n", + "sco.fmin(fo, (2.0, 2.0), maxiter=250)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Constrained Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "uuid": "703a8ac0-1c74-4851-9fd3-7ac404ee3446" + }, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "uuid": "703a8ac0-1c74-4851-9fd3-7ac404ee3446" + }, + "outputs": [], + "source": [ + "def Eu(p): \n", + " s, b = p\n", + " return -(0.5 * math.sqrt(s * 15 + b * 5) +\n", + " 0.5 * math.sqrt(s * 5 + b * 12))" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "uuid": "703a8ac0-1c74-4851-9fd3-7ac404ee3446" + }, + "outputs": [], + "source": [ + "cons = ({'type': 'ineq',\n", + " 'fun': lambda p: 100 - p[0] * 10 - p[1] * 10}) " + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "uuid": "703a8ac0-1c74-4851-9fd3-7ac404ee3446" + }, + "outputs": [], + "source": [ + "bnds = ((0, 1000), (0, 1000)) " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "uuid": "8f989832-637a-4188-b096-26ceeabd77ea" + }, + "outputs": [], + "source": [ + "result = sco.minimize(Eu, [5, 5], method='SLSQP',\n", + " bounds=bnds, constraints=cons) " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "uuid": "67c11995-124c-4f9d-8edf-1364b412e754" + }, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: -9.700883611487832\n", + " jac: array([-0.48508096, -0.48489535])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 21\n", + " nit: 5\n", + " njev: 5\n", + " status: 0\n", + " success: True\n", + " x: array([8.02547122, 1.97452878])" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "uuid": "53899a89-8532-4f22-a17f-54d106412867" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([8.02547122, 1.97452878])" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result['x'] " + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "uuid": "b8548809-fe3a-4fa4-9496-8d3b6a177973" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "9.700883611487832" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "-result['fun'] " + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "uuid": "7453e87b-a70d-47b9-8a12-c5c0f01e4b86" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "99.99999999999999" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.dot(result['x'], [10, 10]) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Integration" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "uuid": "6a38567d-4a2d-464f-8de3-7687e1d2916d" + }, + "outputs": [], + "source": [ + "import scipy.integrate as sci" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "uuid": "0954e5b6-9874-4bad-a2fb-28273a015e4a" + }, + "outputs": [], + "source": [ + "def f(x):\n", + " return np.sin(x) + 0.5 * x" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "uuid": "afb6151f-5743-4950-980e-18047e066ebc" + }, + "outputs": [], + "source": [ + "x = np.linspace(0, 10)\n", + "y = f(x)\n", + "a = 0.5 \n", + "b = 9.5 \n", + "Ix = np.linspace(a, b) \n", + "Iy = f(Ix) # <4>" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "uuid": "ad78923f-e4c1-4381-9a24-33b4f1ea3c56" + }, + "outputs": [], + "source": [ + "from matplotlib.patches import Polygon" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "uuid": "ad78923f-e4c1-4381-9a24-33b4f1ea3c56" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plt.plot(x, y, 'b', linewidth=2)\n", + "plt.ylim(bottom=0)\n", + "Ix = np.linspace(a, b)\n", + "Iy = f(Ix)\n", + "verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n", + "poly = Polygon(verts, facecolor='0.7', edgecolor='0.5')\n", + "ax.add_patch(poly)\n", + "plt.text(0.75 * (a + b), 1.5, r\"$\\int_a^b f(x)dx$\",\n", + " horizontalalignment='center', fontsize=20)\n", + "plt.figtext(0.9, 0.075, '$x$')\n", + "plt.figtext(0.075, 0.9, '$f(x)$')\n", + "ax.set_xticks((a, b))\n", + "ax.set_xticklabels(('$a$', '$b$'))\n", + "ax.set_yticks([f(a), f(b)]);\n", + "# plt.savefig('../../images/ch11/math_15.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numerical Integration" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "uuid": "6d3aa9c8-58c0-46a3-a89f-ca471a1f83e4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.366995967084602" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sci.fixed_quad(f, a, b)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": { + "uuid": "0ddebba6-5357-4ce9-b829-d752132d12df" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.374754718086752" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sci.quad(f, a, b)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": { + "uuid": "3b1779d6-c831-449d-964f-e2cc869847e7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.374754718086713" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sci.romberg(f, a, b)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "uuid": "5499809d-f2b1-4cc9-8808-511f4e82c5ed" + }, + "outputs": [], + "source": [ + "xi = np.linspace(0.5, 9.5, 25)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "uuid": "aec239bc-cdd9-4477-b47c-4d0136ed686d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.352733271544516" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sci.trapz(f(xi), xi)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "uuid": "ce33e420-5143-4d54-b23f-0040f54723fc" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.37496418455075" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sci.simps(f(xi), xi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Integration by Simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "uuid": "bb840eb2-0e13-40eb-aea7-0f106dcf9f41" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "24.804762279331463\n", + "26.522918898332378\n", + "26.265547519223976\n", + "26.02770339943824\n", + "24.99954181440844\n", + "23.881810141621663\n", + "23.527912274843253\n", + "23.507857658961207\n", + "23.67236746066989\n", + "23.679410416062886\n", + "24.424401707879305\n", + "24.239005346819056\n", + "24.115396924962802\n", + "24.424191987566726\n", + "23.924933080533783\n", + "24.19484212027875\n", + "24.117348378249833\n", + "24.100690929662274\n", + "23.76905109847816\n" + ] + } + ], + "source": [ + "for i in range(1, 20):\n", + " np.random.seed(1000)\n", + " x = np.random.random(i * 10) * (b - a) + a \n", + " print(np.mean(f(x)) * (b - a))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Symbolic Computation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Basics" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": { + "uuid": "f01d358d-8094-426c-8e69-657218d8c319" + }, + "outputs": [], + "source": [ + "import sympy as sy" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": { + "uuid": "2cb7d5d8-ae45-4001-863e-714df216a656" + }, + "outputs": [], + "source": [ + "x = sy.Symbol('x') \n", + "y = sy.Symbol('y') " + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "uuid": "7bf55a76-f348-4820-af94-a83ed233d9a2" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "sympy.core.symbol.Symbol" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "uuid": "a8f0388b-1df6-4389-877c-af5d9f141708" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "sqrt(x)" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.sqrt(x) " + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "uuid": "f308fe2e-a5bc-4c88-a7f6-a4f09a568f2f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "sqrt(x) - 13" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "3 + sy.sqrt(x) - 4 ** 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "uuid": "025f5084-4efc-4416-a564-b8a96ec426fd" + }, + "outputs": [], + "source": [ + "f = x ** 2 + 3 + 0.5 * x ** 2 + 3 / 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "uuid": "f427581e-50ba-45b9-a145-ff734be26e59" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.5*x**2 + 4.5" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.simplify(f) " + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "uuid": "59837e7c-a82f-44e5-8b87-b0fba310ffc5" + }, + "outputs": [], + "source": [ + "sy.init_printing(pretty_print=False, use_unicode=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "uuid": "ea1bbb85-a431-4e6c-a264-6ffb6df9f59e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2 \n", + "1.5*x + 4.5\n" + ] + } + ], + "source": [ + "print(sy.pretty(f))" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "uuid": "e8702014-5347-4eac-b10c-39c5a54459c9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ___ \n", + "\\/ x + 0.5\n" + ] + } + ], + "source": [ + "print(sy.pretty(sy.sqrt(x) + 0.5))" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 242 ms, sys: 6.17 ms, total: 248 ms\n", + "Wall time: 248 ms\n" + ] + } + ], + "source": [ + "%time pi_str = str(sy.N(sy.pi, 400000)) " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "uuid": "b8cf7cf4-56e2-4c6b-a70b-6592ec4bd6a6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'3.1415926535897932384626433832795028841971'" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pi_str[:42] " + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "uuid": "595cc15e-99b8-43c7-ad89-db4500fdb860" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'8245672736856312185020980470362464176198'" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pi_str[-40:] " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "uuid": "cc4b85c4-e603-4d36-9553-f3999e877fca" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 89 µs, sys: 0 ns, total: 89 µs\n", + "Wall time: 94.2 µs\n" + ] + }, + { + "data": { + "text/plain": [ + "80847" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time pi_str.find('061072') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Equations" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "uuid": "c310eeab-ac04-4015-a327-29628f9a9a11" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[-1, 1]" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.solve(x ** 2 - 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "uuid": "60076f9d-93f3-47e0-b5b6-87d1bca3d30a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[-2, 2]" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.solve(x ** 2 - 1 - 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "uuid": "6c9e1060-61e6-4b18-9be4-cb71b83fc5a7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.858094329496553, -0.679047164748276 - 0.839206763026694*I, -0.679047164748276 + 0.839206763026694*I]" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.solve(x ** 3 + 0.5 * x ** 2 - 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "uuid": "fcd70615-0db5-4c5c-8246-245ba3c8501c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[{x: -I*y}, {x: I*y}]" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.solve(x ** 2 + y ** 2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Integration and Differentiation" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "uuid": "503329d1-812a-461c-9019-e6bb2a44125e" + }, + "outputs": [], + "source": [ + "a, b = sy.symbols('a b') " + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [], + "source": [ + "I = sy.Integral(sy.sin(x) + 0.5 * x, (x, a, b)) " + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "uuid": "af7bf980-d65b-4567-8576-404e79c5ac65" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " b \n", + " / \n", + " | \n", + " | (0.5*x + sin(x)) dx\n", + " | \n", + "/ \n", + "a \n" + ] + } + ], + "source": [ + "print(sy.pretty(I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "uuid": "89d4c980-01d7-423a-a2ab-a9698787019a" + }, + "outputs": [], + "source": [ + "int_func = sy.integrate(sy.sin(x) + 0.5 * x, x) " + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "uuid": "38141163-7d29-4bd6-bfaf-9f9cfad86967" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2 \n", + "0.25*x - cos(x)\n" + ] + } + ], + "source": [ + "print(sy.pretty(int_func)) " + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "uuid": "51d4481a-c6b6-4caa-b4d1-aa6fb04d4493" + }, + "outputs": [], + "source": [ + "Fb = int_func.subs(x, 9.5).evalf() \n", + "Fa = int_func.subs(x, 0.5).evalf() " + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "uuid": "0c46e097-c665-440e-9d05-03c0d6e6d8d8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.3747547180867" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Fb - Fa " + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [], + "source": [ + "int_func_limits = sy.integrate(sy.sin(x) + 0.5 * x, (x, a, b)) " + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "uuid": "657b13dc-101e-4c0c-9d15-43dbd418c3c8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2 2 \n", + "- 0.25*a + 0.25*b + cos(a) - cos(b)\n" + ] + } + ], + "source": [ + "print(sy.pretty(int_func_limits)) " + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "uuid": "5c65cea8-1e15-4efa-aba4-52888becaf19" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.3747547180868" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "int_func_limits.subs({a : 0.5, b : 9.5}).evalf() " + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "uuid": "b13767c8-4878-42c1-b738-0727b824b329" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "24.3747547180867" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sy.integrate(sy.sin(x) + 0.5 * x, (x, 0.5, 9.5)) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Differentiation" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": { + "uuid": "6ea93bb3-eb7c-4837-8327-621f3752b657" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5*x + sin(x)" + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "int_func.diff()" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "uuid": "164131fd-a197-40ce-85d6-94221e808073" + }, + "outputs": [], + "source": [ + "f = (sy.sin(x) + 0.05 * x ** 2\n", + " + sy.sin(y) + 0.05 * y ** 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "uuid": "5d1ce51b-2536-469b-b516-56db1e86519a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1*x + cos(x)" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "del_x = sy.diff(f, x) \n", + "del_x " + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "uuid": "8d778c21-ed6a-43f0-8347-b95af334972a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1*y + cos(y)" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "del_y = sy.diff(f, y) \n", + "del_y " + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "uuid": "588daaba-266a-43da-a4b9-baeb56fc1ac8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.42755177876459" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "xo = sy.nsolve(del_x, -1.5) \n", + "xo " + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "uuid": "2ef9beca-58f2-470b-a50e-6292bffbf2e0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.42755177876459" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yo = sy.nsolve(del_y, -1.5) \n", + "yo " + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "uuid": "c0812b29-c69f-4a30-aaf1-1447d1434cf4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.77572565314742" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.subs({x : xo, y : yo}).evalf() " + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "uuid": "fd89d904-eab3-4035-941a-785c6a3f36cb" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.74632928225285" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "xo = sy.nsolve(del_x, 1.5)\n", + "xo" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": { + "uuid": "cc99d8f4-e062-4c7e-85ae-46e96d3c8f19" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.74632928225285" + ] + }, + "execution_count": 129, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "yo = sy.nsolve(del_y, 1.5) \n", + "yo" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": { + "uuid": "54622abe-cef1-47ff-bf23-b883cf588a91" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2.27423381055640" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f.subs({x : xo, y : yo}).evalf() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch12/12_stochastics.ipynb b/code/ch12/12_stochastics.ipynb new file mode 100644 index 0000000..4fa2786 --- /dev/null +++ b/code/ch12/12_stochastics.ipynb @@ -0,0 +1,2648 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Stochastics" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "import numpy as np\n", + "import numpy.random as npr \n", + "from pylab import plt, mpl" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Random Numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "npr.seed(100) \n", + "np.set_printoptions(precision=4) " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "8763b99e-6b02-4003-8567-c0f505986e5a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.5434, 0.2784, 0.4245, 0.8448, 0.0047, 0.1216, 0.6707, 0.8259,\n", + " 0.1367, 0.5751])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "npr.rand(10) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "16f2a7c4-62dd-4d0f-bde9-fafb61e0fb64" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.8913, 0.2092, 0.1853, 0.1084, 0.2197],\n", + " [0.9786, 0.8117, 0.1719, 0.8162, 0.2741],\n", + " [0.4317, 0.94 , 0.8176, 0.3361, 0.1754],\n", + " [0.3728, 0.0057, 0.2524, 0.7957, 0.0153],\n", + " [0.5988, 0.6038, 0.1051, 0.3819, 0.0365]])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "npr.rand(5, 5) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "2d14b433-a7da-4aac-a534-56ab4c8a5d84" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([9.4521, 9.9046, 5.2997, 9.4527, 7.8845, 8.7124, 8.1509, 7.9092,\n", + " 5.1022, 6.0501])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = 5. \n", + "b = 10. \n", + "npr.rand(10) * (b - a) + a " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "a05adb2b-5704-4189-b0e8-19318ac3f0b9" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[7.7234, 8.8456, 6.2535, 6.4295, 9.262 ],\n", + " [9.875 , 9.4243, 6.7975, 7.9943, 6.774 ],\n", + " [6.701 , 5.8904, 6.1885, 5.2243, 7.5272],\n", + " [6.8813, 7.964 , 8.1497, 5.713 , 9.6692],\n", + " [9.7319, 8.0115, 6.9388, 6.8159, 6.0217]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "npr.rand(5, 5) * (b - a) + a " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "4618b170-6bd3-4500-905a-0fe402f198c1" + }, + "outputs": [], + "source": [ + "sample_size = 500\n", + "rn1 = npr.rand(sample_size, 3) \n", + "rn2 = npr.randint(0, 10, sample_size) \n", + "rn3 = npr.sample(size=sample_size) \n", + "a = [0, 25, 50, 75, 100] \n", + "rn4 = npr.choice(a, size=sample_size) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "scrolled": false, + "uuid": "d03c9514-c224-4d2b-ad2a-9285058823b0" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n", + " figsize=(10, 8))\n", + "ax1.hist(rn1, bins=25, stacked=True)\n", + "ax1.set_title('rand')\n", + "ax1.set_ylabel('frequency')\n", + "ax2.hist(rn2, bins=25)\n", + "ax2.set_title('randint')\n", + "ax3.hist(rn3, bins=25)\n", + "ax3.set_title('sample')\n", + "ax3.set_ylabel('frequency')\n", + "ax4.hist(rn4, bins=25)\n", + "ax4.set_title('choice');\n", + "# plt.savefig('../../images/ch12/stoch_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "fb2966ea-91ff-49c7-80e6-24bd6162cc5a" + }, + "outputs": [], + "source": [ + "sample_size = 500\n", + "rn1 = npr.standard_normal(sample_size) \n", + "rn2 = npr.normal(100, 20, sample_size) \n", + "rn3 = npr.chisquare(df=0.5, size=sample_size) \n", + "rn4 = npr.poisson(lam=1.0, size=sample_size) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "3f790711-f965-4a10-b3df-47cc85d708d3" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n", + " figsize=(10, 8))\n", + "ax1.hist(rn1, bins=25)\n", + "ax1.set_title('standard normal')\n", + "ax1.set_ylabel('frequency')\n", + "ax2.hist(rn2, bins=25)\n", + "ax2.set_title('normal(100, 20)')\n", + "ax3.hist(rn3, bins=25)\n", + "ax3.set_title('chi square')\n", + "ax3.set_ylabel('frequency')\n", + "ax4.hist(rn4, bins=25)\n", + "ax4.set_title('Poisson');\n", + "# plt.savefig('../../images/ch12/stoch_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simulation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Random Variables" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "ac34499c-4675-457e-a0ac-40b8efcdb72e" + }, + "outputs": [], + "source": [ + "S0 = 100 \n", + "r = 0.05 \n", + "sigma = 0.25 \n", + "T = 2.0 \n", + "I = 10000 \n", + "ST1 = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n", + " sigma * math.sqrt(T) * npr.standard_normal(I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "scrolled": true, + "uuid": "7fc0b66a-9ce3-4c5e-bb99-d5e0363a6678" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(ST1, bins=50)\n", + "plt.xlabel('index level')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_03.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "c37a0783-81b1-449f-924e-f792ba5017aa" + }, + "outputs": [], + "source": [ + "ST2 = S0 * npr.lognormal((r - 0.5 * sigma ** 2) * T,\n", + " sigma * math.sqrt(T), size=I) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "uuid": "fea07d0c-7fc1-4ab8-8b21-fc36e73c3151" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(ST2, bins=50)\n", + "plt.xlabel('index level')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "e5e17dcf-21f4-42ee-bcec-21103aaa8bb3" + }, + "outputs": [], + "source": [ + "import scipy.stats as scs" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "d6f800c9-f38f-4fe1-8cb5-fe9253f1194c" + }, + "outputs": [], + "source": [ + "def print_statistics(a1, a2):\n", + " ''' Prints selected statistics.\n", + " \n", + " Parameters\n", + " ==========\n", + " a1, a2: ndarray objects\n", + " results objects from simulation\n", + " '''\n", + " sta1 = scs.describe(a1) \n", + " sta2 = scs.describe(a2) \n", + " print('%14s %14s %14s' % \n", + " ('statistic', 'data set 1', 'data set 2'))\n", + " print(45 * \"-\")\n", + " print('%14s %14.3f %14.3f' % ('size', sta1[0], sta2[0]))\n", + " print('%14s %14.3f %14.3f' % ('min', sta1[1][0], sta2[1][0]))\n", + " print('%14s %14.3f %14.3f' % ('max', sta1[1][1], sta2[1][1]))\n", + " print('%14s %14.3f %14.3f' % ('mean', sta1[2], sta2[2]))\n", + " print('%14s %14.3f %14.3f' % ('std', np.sqrt(sta1[3]), np.sqrt(sta2[3])))\n", + " print('%14s %14.3f %14.3f' % ('skew', sta1[4], sta2[4]))\n", + " print('%14s %14.3f %14.3f' % ('kurtosis', sta1[5], sta2[5]))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "980679e8-56af-49e3-85f3-4b4d1ed90312" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic data set 1 data set 2\n", + "---------------------------------------------\n", + " size 10000.000 10000.000\n", + " min 32.327 28.230\n", + " max 414.825 409.110\n", + " mean 110.730 110.431\n", + " std 40.300 39.878\n", + " skew 1.122 1.115\n", + " kurtosis 2.438 2.217\n" + ] + } + ], + "source": [ + "print_statistics(ST1, ST2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Stochastic Processes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Geometric Brownian Motion" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "a6b64214-0041-49cb-b7a8-7b4965d1d03a" + }, + "outputs": [], + "source": [ + "I = 10000 \n", + "M = 50 \n", + "dt = T / M \n", + "S = np.zeros((M + 1, I)) \n", + "S[0] = S0 \n", + "for t in range(1, M + 1):\n", + " S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt +\n", + " sigma * math.sqrt(dt) * npr.standard_normal(I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "969180df-b1f3-4f6d-8ec6-21cadbec06f1" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(S[-1], bins=50)\n", + "plt.xlabel('index level')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_05.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "37d83fc1-6b2d-4d94-a5d1-75d2ba569283" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic data set 1 data set 2\n", + "---------------------------------------------\n", + " size 10000.000 10000.000\n", + " min 27.746 28.230\n", + " max 382.096 409.110\n", + " mean 110.423 110.431\n", + " std 39.179 39.878\n", + " skew 1.069 1.115\n", + " kurtosis 2.028 2.217\n" + ] + } + ], + "source": [ + "print_statistics(S[-1], ST2)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "c424f261-aa3f-4b04-9b5d-bb6824107fa0" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(S[:, :10], lw=1.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('index level');\n", + "# plt.savefig('../../images/ch12/stoch_06.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Square-Root Diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "b00481e7-074a-4d04-a65d-4ee95f971116" + }, + "outputs": [], + "source": [ + "x0 = 0.05 \n", + "kappa = 3.0 \n", + "theta = 0.02 \n", + "sigma = 0.1 \n", + "I = 10000\n", + "M = 50\n", + "dt = T / M" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "e085f53a-d065-424e-b1f4-d41c64464c2a" + }, + "outputs": [], + "source": [ + "def srd_euler():\n", + " xh = np.zeros((M + 1, I))\n", + " x = np.zeros_like(xh)\n", + " xh[0] = x0\n", + " x[0] = x0\n", + " for t in range(1, M + 1):\n", + " xh[t] = (xh[t - 1] +\n", + " kappa * (theta - np.maximum(xh[t - 1], 0)) * dt +\n", + " sigma * np.sqrt(np.maximum(xh[t - 1], 0)) *\n", + " math.sqrt(dt) * npr.standard_normal(I)) \n", + " x = np.maximum(xh, 0)\n", + " return x\n", + "x1 = srd_euler()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "93283652-414e-4773-99ca-00e0b24cc088" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(x1[-1], bins=50)\n", + "plt.xlabel('value')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_07.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "59c2b6b1-7c7d-44bd-8ae3-8ad16dd2eb30" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x1[:, :10], lw=1.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('index level');\n", + "# plt.savefig('../../images/ch12/stoch_08.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "b901c93e-a4a9-4f8f-98d9-69754cb586bf" + }, + "outputs": [], + "source": [ + "def srd_exact():\n", + " x = np.zeros((M + 1, I))\n", + " x[0] = x0\n", + " for t in range(1, M + 1):\n", + " df = 4 * theta * kappa / sigma ** 2 \n", + " c = (sigma ** 2 * (1 - np.exp(-kappa * dt))) / (4 * kappa) \n", + " nc = np.exp(-kappa * dt) / c * x[t - 1] \n", + " x[t] = c * npr.noncentral_chisquare(df, nc, size=I) \n", + " return x\n", + "x2 = srd_exact()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "uuid": "98648791-2251-4313-baef-e65e4f3ea059" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(x2[-1], bins=50)\n", + "plt.xlabel('value')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_09.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "3d998e1a-e225-4de8-b09b-abf8651d30cb" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x2[:, :10], lw=1.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('index level');\n", + "# plt.savefig('../../images/ch12/stoch_10.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "fc247695-7a20-4452-8c74-96ace26f2ebe" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic data set 1 data set 2\n", + "---------------------------------------------\n", + " size 10000.000 10000.000\n", + " min 0.003 0.005\n", + " max 0.049 0.047\n", + " mean 0.020 0.020\n", + " std 0.006 0.006\n", + " skew 0.529 0.532\n", + " kurtosis 0.289 0.273\n" + ] + } + ], + "source": [ + "print_statistics(x1[-1], x2[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "7f49cc7d-5264-459c-a9b7-d602daed9f2b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.82 s, sys: 134 ms, total: 2.95 s\n", + "Wall time: 781 ms\n" + ] + } + ], + "source": [ + "I = 250000\n", + "%time x1 = srd_euler()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "uuid": "ede482c4-ec2c-43e2-8128-0c97b44469bd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7.07 s, sys: 27.9 ms, total: 7.1 s\n", + "Wall time: 1.81 s\n" + ] + } + ], + "source": [ + "%time x2 = srd_exact()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "84a26be5-eede-4478-9f67-c6a97f9804f9" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic data set 1 data set 2\n", + "---------------------------------------------\n", + " size 250000.000 250000.000\n", + " min 0.002 0.003\n", + " max 0.071 0.055\n", + " mean 0.020 0.020\n", + " std 0.006 0.006\n", + " skew 0.563 0.579\n", + " kurtosis 0.492 0.520\n" + ] + } + ], + "source": [ + "print_statistics(x1[-1], x2[-1])\n", + "x1 = 0.0; x2 = 0.0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Stochastic Volatility" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "uuid": "786bc4c9-bff7-4a6d-9ae5-1f62c1813518" + }, + "outputs": [], + "source": [ + "S0 = 100.\n", + "r = 0.05\n", + "v0 = 0.1 \n", + "kappa = 3.0\n", + "theta = 0.25\n", + "sigma = 0.1\n", + "rho = 0.6 \n", + "T = 1.0" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "0db5ac22-1065-4fd5-92a8-3ccb0780d34c" + }, + "outputs": [], + "source": [ + "corr_mat = np.zeros((2, 2))\n", + "corr_mat[0, :] = [1.0, rho]\n", + "corr_mat[1, :] = [rho, 1.0]\n", + "cho_mat = np.linalg.cholesky(corr_mat) " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "41b7d810-38b5-4831-bb66-84a57c97415b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0. ],\n", + " [0.6, 0.8]])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cho_mat " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "M = 50\n", + "I = 10000\n", + "dt = T / M" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "b16ca288-23eb-463b-9b63-4765eea564f9" + }, + "outputs": [], + "source": [ + "ran_num = npr.standard_normal((2, M + 1, I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "v = np.zeros_like(ran_num[0])\n", + "vh = np.zeros_like(v)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "v[0] = v0\n", + "vh[0] = v0" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "for t in range(1, M + 1):\n", + " ran = np.dot(cho_mat, ran_num[:, t, :]) \n", + " vh[t] = (vh[t - 1] +\n", + " kappa * (theta - np.maximum(vh[t - 1], 0)) * dt +\n", + " sigma * np.sqrt(np.maximum(vh[t - 1], 0)) * \n", + " math.sqrt(dt) * ran[1]) " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "uuid": "e7ae274e-fec0-43f5-a171-0dd5f131e6c2" + }, + "outputs": [], + "source": [ + "v = np.maximum(vh, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "0016d6a1-4c5c-4617-847a-d0d1510c3fb9" + }, + "outputs": [], + "source": [ + "S = np.zeros_like(ran_num[0])\n", + "S[0] = S0\n", + "for t in range(1, M + 1):\n", + " ran = np.dot(cho_mat, ran_num[:, t, :])\n", + " S[t] = S[t - 1] * np.exp((r - 0.5 * v[t]) * dt +\n", + " np.sqrt(v[t]) * ran[0] * np.sqrt(dt))" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "uuid": "5db99fd6-5e32-4c1f-8186-fe6ac910b0c8" + }, + "outputs": [ + { + "data": { + 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n", + "ax1.hist(S[-1], bins=50)\n", + "ax1.set_xlabel('index level')\n", + "ax1.set_ylabel('frequency')\n", + "ax2.hist(v[-1], bins=50)\n", + "ax2.set_xlabel('volatility');\n", + "# plt.savefig('../../images/ch12/stoch_11.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "uuid": "398e803e-e0d8-4bc1-9c2a-53ad78cf524d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic data set 1 data set 2\n", + "---------------------------------------------\n", + " size 10000.000 10000.000\n", + " min 20.556 0.174\n", + " max 517.798 0.328\n", + " mean 107.843 0.243\n", + " std 51.341 0.020\n", + " skew 1.577 0.124\n", + " kurtosis 4.306 0.048\n" + ] + } + ], + "source": [ + "print_statistics(S[-1], v[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "uuid": "0b542695-d86d-47d9-8be4-760cd9a7786b" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True,\n", + " figsize=(10, 6))\n", + "ax1.plot(S[:, :10], lw=1.5)\n", + "ax1.set_ylabel('index level')\n", + "ax2.plot(v[:, :10], lw=1.5)\n", + "ax2.set_xlabel('time')\n", + "ax2.set_ylabel('volatility');\n", + "# plt.savefig('../../images/ch12/stoch_12.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Jump-Diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "S0 = 100.\n", + "r = 0.05\n", + "sigma = 0.2\n", + "lamb = 0.75 \n", + "mu = -0.6 \n", + "delta = 0.25 \n", + "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1) " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "4d34dbf3-196e-4125-a11d-f967982540e2" + }, + "outputs": [], + "source": [ + "T = 1.0\n", + "M = 50\n", + "I = 10000\n", + "dt = T / M" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "uuid": "b22527e8-afc1-4c69-8253-4e8b6a64f0da" + }, + "outputs": [], + "source": [ + "S = np.zeros((M + 1, I))\n", + "S[0] = S0\n", + "sn1 = npr.standard_normal((M + 1, I)) \n", + "sn2 = npr.standard_normal((M + 1, I)) \n", + "poi = npr.poisson(lamb * dt, (M + 1, I)) \n", + "for t in range(1, M + 1, 1):\n", + " S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt +\n", + " sigma * math.sqrt(dt) * sn1[t]) +\n", + " (np.exp(mu + delta * sn2[t]) - 1) *\n", + " poi[t]) \n", + " S[t] = np.maximum(S[t], 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "19508067-6759-4e88-9276-0d21a0be9e8e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(S[-1], bins=50)\n", + "plt.xlabel('value')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_13.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "27046a97-3c3c-4265-bde7-45f9b71dc001" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(S[:, :10], lw=1.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('index level');\n", + "# plt.savefig('../../images/ch12/stoch_14.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Variance Reduction" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "293a9f5c-7ae1-4994-b11d-64ba5312559a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Mean Std. Deviation\n", + "-------------------------------\n", + " 0.001150944833 1.006296354600\n", + " 0.002841204001 0.995987967146\n", + " 0.001998082016 0.997701714233\n", + " 0.001322322067 0.997771186968\n", + " 0.000592711311 0.998388962646\n", + "-0.000339730751 0.998399891450\n", + "-0.000228109010 0.998657429396\n", + " 0.000295768719 0.998877333340\n", + " 0.000257107789 0.999284894532\n", + "-0.000357870642 0.999456401088\n", + "-0.000528443742 0.999617831131\n", + "-0.000300171536 0.999445228838\n", + "-0.000162924037 0.999516059328\n", + " 0.000135778889 0.999611052522\n", + " 0.000182006048 0.999619405229\n" + ] + } + ], + "source": [ + "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n", + "print(31 * '-')\n", + "for i in range(1, 31, 2):\n", + " npr.seed(100)\n", + " sn = npr.standard_normal(i ** 2 * 10000)\n", + " print('%15.12f %15.12f' % (sn.mean(), sn.std()))" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "5940d5f7-72ed-4fd2-8a48-d66c2d5e45db" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8410000" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i ** 2 * 10000" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "sn = npr.standard_normal(int(10000 / 2))\n", + "sn = np.concatenate((sn, -sn)) " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "732f2ba4-3133-4508-92a1-10ee47519f36" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(10000,)" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.shape(sn) " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.842170943040401e-18" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sn.mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "3f166fbb-ed57-403f-b251-1b5579ec261d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Mean Std. Deviation\n", + "-------------------------------\n", + " 0.000000000000 1.009653753942\n", + "-0.000000000000 1.000413716783\n", + " 0.000000000000 1.002925061201\n", + "-0.000000000000 1.000755212673\n", + " 0.000000000000 1.001636910076\n", + "-0.000000000000 1.000726758438\n", + "-0.000000000000 1.001621265149\n", + " 0.000000000000 1.001203722778\n", + "-0.000000000000 1.000556669784\n", + "-0.000000000000 1.000113464185\n", + "-0.000000000000 0.999435175324\n", + "-0.000000000000 0.999356961431\n", + "-0.000000000000 0.999641436845\n", + "-0.000000000000 0.999642768905\n", + "-0.000000000000 0.999638303451\n" + ] + } + ], + "source": [ + "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n", + "print(31 * \"-\")\n", + "for i in range(1, 31, 2):\n", + " npr.seed(1000)\n", + " sn = npr.standard_normal(i ** 2 * int(10000 / 2))\n", + " sn = np.concatenate((sn, -sn))\n", + " print(\"%15.12f %15.12f\" % (sn.mean(), sn.std()))" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "de17794f-4dfd-4441-8d0f-bd097ac0da2c" + }, + "outputs": [], + "source": [ + "sn = npr.standard_normal(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "0251bf81-b4d8-4828-80be-9ff972204d06" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.001165998295162494" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sn.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "a59c5234-0398-4260-9bcb-d63cd6a7c917" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.991255920204605" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sn.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "699ea494-9c78-4ddc-b153-ce291039f77e" + }, + "outputs": [], + "source": [ + "sn_new = (sn - sn.mean()) / sn.std() " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "e5836915-236c-4c1b-9012-20fb52e50608" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-2.3803181647963357e-17" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sn_new.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "5113ce74-07a2-4b16-b8d0-7ed9495ccb9b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9999999999999999" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sn_new.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "uuid": "f566cd19-61d3-4c69-9391-cb1c906d23c3" + }, + "outputs": [], + "source": [ + "def gen_sn(M, I, anti_paths=True, mo_match=True):\n", + " ''' Function to generate random numbers for simulation.\n", + " \n", + " Parameters\n", + " ==========\n", + " M: int\n", + " number of time intervals for discretization\n", + " I: int\n", + " number of paths to be simulated\n", + " anti_paths: boolean\n", + " use of antithetic variates\n", + " mo_math: boolean\n", + " use of moment matching\n", + " '''\n", + " if anti_paths is True:\n", + " sn = npr.standard_normal((M + 1, int(I / 2)))\n", + " sn = np.concatenate((sn, -sn), axis=1)\n", + " else:\n", + " sn = npr.standard_normal((M + 1, I))\n", + " if mo_match is True:\n", + " sn = (sn - sn.mean()) / sn.std()\n", + " return sn" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Valuation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### European Options" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "S0 = 100.\n", + "r = 0.05\n", + "sigma = 0.25\n", + "T = 1.0\n", + "I = 50000" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "uuid": "693f44be-b3dd-4820-9610-a127f0e9b31b" + }, + "outputs": [], + "source": [ + "def gbm_mcs_stat(K):\n", + " ''' Valuation of European call option in Black-Scholes-Merton\n", + " by Monte Carlo simulation (of index level at maturity)\n", + " \n", + " Parameters\n", + " ==========\n", + " K: float\n", + " (positive) strike price of the option\n", + " \n", + " Returns\n", + " =======\n", + " C0: float\n", + " estimated present value of European call option\n", + " '''\n", + " sn = gen_sn(1, I)\n", + " # simulate index level at maturity\n", + " ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n", + " + sigma * math.sqrt(T) * sn[1])\n", + " # calculate payoff at maturity\n", + " hT = np.maximum(ST - K, 0)\n", + " # calculate MCS estimator\n", + " C0 = math.exp(-r * T) * np.mean(hT)\n", + " return C0" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "uuid": "f325da52-3e45-4e9e-a4a2-067efb1c3bb7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10.044221852841922" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm_mcs_stat(K=105.) " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "M = 50 " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "uuid": "511974d5-5ceb-4b68-bf7f-e01eaa43f7c6" + }, + "outputs": [], + "source": [ + "def gbm_mcs_dyna(K, option='call'):\n", + " ''' Valuation of European options in Black-Scholes-Merton\n", + " by Monte Carlo simulation (of index level paths)\n", + " \n", + " Parameters\n", + " ==========\n", + " K: float\n", + " (positive) strike price of the option\n", + " option : string\n", + " type of the option to be valued ('call', 'put')\n", + " \n", + " Returns\n", + " =======\n", + " C0: float\n", + " estimated present value of European call option\n", + " '''\n", + " dt = T / M\n", + " # simulation of index level paths\n", + " S = np.zeros((M + 1, I))\n", + " S[0] = S0\n", + " sn = gen_sn(M, I)\n", + " for t in range(1, M + 1):\n", + " S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n", + " + sigma * math.sqrt(dt) * sn[t])\n", + " # case-based calculation of payoff\n", + " if option == 'call':\n", + " hT = np.maximum(S[-1] - K, 0)\n", + " else:\n", + " hT = np.maximum(K - S[-1], 0)\n", + " # calculation of MCS estimator\n", + " C0 = math.exp(-r * T) * np.mean(hT)\n", + " return C0" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "uuid": "44ae2961-ec7c-4e69-b6ff-17b8093a894b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "7.950008525028434" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm_mcs_dyna(K=110., option='call') " + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "uuid": "bedb79ae-4f01-41ea-b16a-22ea9781fc0e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "12.629934942682004" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm_mcs_dyna(K=110., option='put') " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "from bsm_functions import bsm_call_value" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "stat_res = [] \n", + "dyna_res = [] \n", + "anal_res = [] \n", + "k_list = np.arange(80., 120.1, 5.) \n", + "np.random.seed(100)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "for K in k_list:\n", + " stat_res.append(gbm_mcs_stat(K)) \n", + " dyna_res.append(gbm_mcs_dyna(K)) \n", + " anal_res.append(bsm_call_value(S0, K, T, r, sigma)) " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "uuid": "e9e52ba0-6ccb-46df-a089-49505d6c7919" + }, + "outputs": [], + "source": [ + "stat_res = np.array(stat_res) \n", + "dyna_res = np.array(dyna_res) \n", + "anal_res = np.array(anal_res) " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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GVTBhQgWDB0fJDbMPOAWyNX6theKXuRS7zJbt8WtotmaoG5+3NCVn2S0WgwUL8pgyJcKTT0ZYvz7IyHbfPcaJJ5YzfnwF3/lOjHScMa34ZTbFL3Mpdpkt2+OXtsmZme0NXAcsJHhG7T/u/jsz6wJcD/wb6Atc6e5rGqtLyVnrUVEBL7+cx9Sp+cyYEWHTpuDvd9++UcaPr2DChHL22it9/joofplN8ctcil1my/b4NZScpcNgUBfgUXe/yd0vBE41s4OAPwIvuPv1wDTg5pZspKSXSASOOCLKnXdu5oMPNnH//d8ydmw5q1fncuONBRx6aHuOPrqQu+/O5/PP07ArTUREpAEpTc7M7PymznH3Be4+vUZRLvANwVIcryfKXk28FtlK27YwdmwF998fJGp33vktRxxRwXvv5XL11W0ZNGgnTjyxHQ8+mM+XX7Z0a0VERBoX2nw3MxsLXAnsSpBg5QCdgTu3oY7xwLPuvtTMdgUq+zJLgM5mFnH3irDaLNmnQwc45ZQKTjmlgvXrc/jXvyJMnRrhtdeCryuuKGD06Cjjx5dzzDEVtG/f0i0WERGpLczZmkuB84HlQJQgObvC3c9t9MLq60cD44GL3D1mZh8Dw9z948TzZx+5e5fG6qioiMYjkbxmvQ/JTqtXw2OPwSOPwNtvB2Xt2sG4cXDaaXDsscFWUyIiIjtQyvfWXOzuz9csMLM/JHOhmR0PHEaweG13M+sFzACGAh8DwxOvG7VhQ+m2tjljZPtDkanWrh2cdVbw9eGHuUyZEmHq1Hz++c9c/vlPKCqKM3ZsMONzxIgoeSHn+IpfZlP8Mpdil9myPX7FxR3qLQ+z5+w2oBPwGlCWKD7D3Y9u4rqDgDlUb/W0E3AX8C/gBmAVsDdwuWZrZu9f0JYQj8OiRblMmZLPtGkRPv88eASzuDjGCScEi90efHA4S3MofplN8ctcil1my/b4pXwpDTP7FHiuTvEh7r5vKDdIgpIz2V6xGMybF6yh9tRTEb78MkjUevaMMX580KM2YEBsu+tX/DKb4pe5FLvMlu3xayg5C3NY8/fufk/NgsRwpUjay82FYcOiDBsW5U9/KmPOnDymTMln5swIkyYVMGlSAf37B2uojR9fTu/eWft7gIiItLBQF6E1s2KCZ8fiwCvuvi60ypOgnjMJW2kpPP98hClTIsyaFWHLluCXnIMOCmZ8nnBCBV27Nv3XTvHLbIpf5lLsMlu2x29HDGseCfwN+IRg9sFuwJnuPiuUGyRByZmk0tdfw9NPR5gyJZ+5c/OIxXLIzY0zfHjQozZ2bDmdOtV/reKX2RS/zKXYZbZsj9+O2CHgbGAfdx/s7gcD+wI/DbF+kRbVsSOcdloFjz/+LYsWfcMf/7iZAw+MMXduhIkT27Lvvu0588x2TJ0a4ZtvgmsKpk6m88ihEInQeeRQCqZObtk3ISIiaS/MZ85Wu/tXlS/cfYOZfRJi/SJpY9dd4/zkJ+X85CflrF6dw7Rp+UyZEuHZZ4OvwsI4v9/3H0xccHbVNZEliyk692xKgLLxJ7dc40VEJK2FmZz1NLNxBFstxYERQI8Q6xdJSz17xrnggi1ccMEWli7NZerUYOjzyAU31nt+4aRblZyJiEiDwhzWvAK4DFif+Pplokyk1ejfP8YVV2xh/vxv+E7uB/WftGQpjz0W0T6fIiJSr9CSM3df5e4jgCKgo7sfTvVitCKtSk4OxKx/vccWxwdw/vnt2Hff9owf347//d98Vq8OYaVbERHJCs1OzsysY+L74WZ2OHAgcGDi5z83t36RTFV60SX1lre99mKuuqqMQYNivPpqhKuuasvBB7dn9OhCbrihDe+9l0uIK9yIiEiGafZSGmb2IXAkwbNmH9Y53Mfd92jWDbaBltKQdFMwdTKFk24lsmwpFf36U3rhxFrPm61Zk8Mzz0R45pkIc+fmVa2jtvvuMY45poJjj63g0EOj5Oe31DsQ0Ocvkyl2mS3b45eydc7MLMfd42b2E3f/a51jW5WlkpIzSVfJxG/jRnjxxQgzZ0Z44YUIJSXBZ7ZTpzhHHhkkaqNHV9C+/Y5osdSkz1/mUuwyW7bHL2XbN7l7ZUK0qma5mf0QqGhu/SKtRYcOcMIJFZxwQgVbtsDrr+cxc2bQqzZ5cj6TJ+dTUBDn8MOjHHtsBUcfXcGuu2bt7yMiIq1WmLM1x9V84e4PAUeEWL9Iq9GmDYwcGeX668t4++1veP75b5g4sYy99orx/PPBorf77bcTxx9fyJ13tmH5ck0oEBHJFmEMa/4fwbpmQ4A3ahzKA/q6+7Bm3WAbaFhT0lWY8Vuxovo5tTfeCLaRAujXL1r1nNoBB8TIDfNXr1ZOn7/MpdhltmyPX8qGNYHZie97AHNqlG8G5oZQv4jUsOeecc47r5zzzitn/focXnghj6efjjBnToQ77ijgjjsK6No1xne/W8Fxx1UwfHiUgoKWbrWIiCQrzI3P+7j7R6FUtp3UcybpakfEr7QU5swJJhQ891weX34ZdJ21bx9nzJigR23MmAo6dkxpM7KSPn+ZS7HLbNkev1T2nFX6xsweB0YTDHO+BFzo7p+HeA8RaUBhIRx7bJCEVVTAggVBj9ozz0SYPj2f6dPziUTiDB8eTCg45pgKdtsta3+fERHJWGH2nD0DPEcwtJkDjASOcvdjQrlBEtRzJumqJeMXj8OSJbk880zQq/buu3lVxwYNqn5OrX//GDmaV1Avff4yl2KX2bI9fjui52yNu99a4/WbZrZfiPWLyHbIyYEBA2IMGLCFiRO38OmnOVWJ2muv5fHOOwVcf30BvXrFOPbY4Dm1wYOj5OU1XbeIiIQvzPlc682sQ+WLxM9fJH7+WYj3EZFm6NEjzjnnlDN58rcsWbKJu+/+lu99L5hccM89bfje9wr5znd24sIL2/LMM3mUlrZ0i0VEWpcwhzXfBPoAixNFA4APgC0ES2rs3sB13YDrgIHuPjhRdhbwc4IZnwD3ufvfmmqDhjUlXWVC/MrK4JVXqhe+Xbs2+N2tXbs4o0YFQ59HHRVl552z9mPWoEyIn9RPscts2R6/HTGsuRqob6fnHODiRq4bAUwHBtUpP9XdV4bTNBFpSkEBjBkTZcyYKDfeWMbbb+cyc2Yk8ZXPzJn55ObGOfTQ4Dm1Y46pwN5+nMLbbyFv2VKi/fpTetEltfYOFRGRbRdmcnahu39c3wEzW97QRe4+2cxG1XPof8zsC6AQ+LO7fxlOM0WkKbm5cNBBMQ46aAtXXbWFjz7KYebMfJ55JsLrr+fx2msRFv/2UR7l7KprIksWU3Tu2ZSAEjQRkWYIMzlbb2Y3AMcSLKUxE7jW3b9tKGlrxBxghruvM7PjgMeBMSG2VUS2QZ8+cc4/fwvnn7+FtWtzeO65CCf89g+waetzN19zGx8f9F/07Nn6hj9FRMIQ5jNn9wBfAq8SDGUOA7q4+8+TuHYUcLO7H1zPsbYE/wUUuHu0sXoqKqLxSERTzER2iEgEolt/JMuJ0IZy+vaFo4+Go46C0aOhqKgF2igikt5Svwitu19Z4/VTZjZpeyoysz8Bv3H3CqAvsKKpxAxgw4bsnVaW7Q9FZrtsjF/nfv2JLFm8VfmGbvtwzKByXnklwl135XDXXZCXF+fgg6OMGhVl1KgKBg2KZdRSHdkYv9ZCscts2R6/4uIO9ZaHmZx1qqesyd+VzWwkcCbQ3cyuAm4hWILjbjNbAeyXOC4iaaT0oksoOvfsrcrbXnsxD43fTHk5vPVWHrNn5zFnToQFC/J4440IN9xQQMeOcQ47rIJRo6KMHFlBr14aAhURqRTmsOYFBEnU6wTPnA0HHnL3O0K5QRK0lIakq2yNX8HUyRROurV6tuaFExucDPDVVzB3bqQqWVu9unqZxT33jDFqVJCsjRhRQYf6f5lsMdkav9ZAscts2R6/hpbSCC05AzCzMQQTAgBmuvus0CpPgpIzSVeKX23xOKxYkcPs2UGy9sorETZtCv6NysuLc9BBtYdAI2H28W8HxS9zKXaZLdvjt0OSs5am5EzSleLXuPJyWLgwGAKdPTvC22/nEosF/2ZVDoGOHBkkay0xBKr4ZS7FLrNle/yUnGW4bP8Lmu0Uv23z1VfwyiuRqmStviHQkSODIdAdMQtU8ctcil1my/b4KTnLcNn+FzTbKX7br+YQ6Jw5wRDoxo07dghU8ctcil1my/b4tUhyZmYF7l6WshvUoeRM0pXiF56aQ6Bz5kRYuLB6CLSoqPYs0N69w/knQfHLXIpdZsv2+KVsb00z69nI4WuBHzf3HiIilfLzYciQKEOGRLnssi18/XX1LNDZsyPMmJHPjBn5APTuXXsWqBbCFZFMEMYAwPvAeupf5bYzSs5EJIU6doSxYysYO7YCKNtqFugDD7ThgQeCIdADD6xM1io44ICWnwUqIlKfMP5putHdr6vvgJldEUL9IiJJ23PPOHvuWc6Pf1xORQUsXJibSNYivPVWLgsWFHDTTQUUFcUZMaKi6nm1sIZARUSaK9XPnI1396kpu0EdeuZM0pXilx6+/rp6FuhLL9WeBdq7d4yRI4Nk7bDDgiHQgqmTKbz9FiLLllLRrz+lF13S4CK7kp702cts2R6/lE0IMLP7GziUAxzi7vs26wbbQMmZpCvFLz2tWJHDnDlBsjZ3bu1ZoJf1eoQ//PsHW11Tcu/9StAyiD57mS3b45eyCQFAb+DBBo7tHkL9IiIpUTkEetZZ1UOgQbIW4ZQF19d7TewPt7LxyJPTbospEckeYSRnE939nfoOmFm95SIi6SYSgUMOiXHIIVv45S+3sEv3DyC69Xk7rV7Kzn3bM2BAjEMPDWaNHnJIlO7ds7bjXkR2sGYnZzUTMzPLBboDeYmii9BsTRHJQNF+/YksWbxV+dpd9mFI3ygLF+bx/vt5/PWvQXnPnrGqJT6GDInSt2+M3NytLhcRaVJoE8nN7ETgDqAI2ADsDOywBWhFRMJUetElFJ179lblHf5wMdPHf0tZGSxalMu8eRHmz89j/vw8Hn88n8cfD9ZY69w5ziGHBL1qQ4ZUMHBgjIKCHf0uRCQThbnKz4nAXsBN7n6xmRUCvwuxfhGRHaZs/MmUAIWTbq2erXnhxKrJAAUFMHhwjMGDtwAQi8GHH+byxht5VV/PPhvh2WcjQAEFBXEOOKC6Z23w4CgdO7bc+xOR9BVmcvaZu1eYWT6Au5ea2U4h1i8iskOVjT+ZsvEnU1zcgQ1NzBjLzQWzGGYxfvjDcgA+/zyH+fOrk7X58/OYNy/4ZzcnJ07//sFQaOWzaz166Lk1EQk3OdvXzPYHNpvZJOA/wEEh1i8iklG6d49zwgkVnHBCBQAbN8Kbb1Ynam+9lceSJXk88EBw/u67xxLDoMFX//56bk2kNQozObsCqAB+D9wA7Af8LMT6RUQyWocOMHp0lNGjg2mg5eXw3nu5zJtXnbBNmZLPlCnBc2tFRfFaydqgQVHatm3JdyAiO0KYydmHQFt33wj83Mx2dvf/hFi/iEhWyc+HAw+MceCBMX7xi3LicVi+PIc33ohUDYW+8EKEF14I/qlu0ybOwIExhgypqHpurUuXFn4TIhK6MJOzRwlmZ56eeH29mc139/8X4j1ERLJWTg706ROnT59yfvCD4Lm1NWtyqmaDvvFGHgsXBvuD/vnPwTVm0Vq9az17xsmpd81xEckUYSZna939vMoX7v5TM/tLUxeZWTfgOmCguw9OlLUFbgY+BfoC17v7shDbKiKSEbp2jTNuXAXjxgXPrW3aBAsXVk8yePPNPNzz+NvfgvO7daueZHDIIVEGDIiRl9fIDUQk7YSZnJXWU1aexHUjgOnAoBplFwGr3f1GM9sPuA84rPlNFBHJbO3bw+GHRzn88OC5tYoKWLw4WMKj8tm16dPzmT49P3F+nMGDq3vWDjggSmFh9abuecuWEtWm7iJpJczkrJ2Z3QK8CsQJkq4m63f3yWY2qk7x8cCViePvmdlAMyty95IQ2ysikvEiERg4MMbAgTF+9rPgubUVK2ov4fHSSxFeeimSOD/OL/d4hD+uqF5gN7JkMUXnnk0JKEETSQNhJmeXAL8mkVQBTwNXbWdduwI1FxUqSZQpORMRaURODuxR/A7eAAAgAElEQVS1V5y99qrg1FODodD166uTtfnz8zjtrfo3df/mN7fxcsdT2G+/GMXFWnNNpKXkxOMt/wFM9Jzd7O4HJ17PBa5097mJ1yXA7k31nFVUROORiB6uEBFpTDwSISe69a7u5URok3gaZffd4aCDan917bqjWyqS9eqdvhNmz1mYZgBDgbmJZ87eTWZIc8OG+h57yw7FxR1Y18QK5ZK+FL/Mlm3x69zApu4b9+jPJd8vY9GiPN59N5fp03OZPr36eLduwfDp/vtHGTgwysCBMbp2bflf8BuTbbFrbbI9fsXFHeotb/HkzMxGAmcC3c3sKuAWYBJwc+J1H+CcFmyiiEhWaWhT98hVE7ls/Jaq1198kcOiRbm8+25eVcJWvV9ooGvXIGHbb7/qhK1bNy3nIdIcaTGsGZZ16zZmz5upI9t/e8h2il9my8b4FUydTOGkW6tna9bY1L0xa9YECVtlsrZoUR6ffVZ7j6ni4po9bMH33XZrmYQtG2PXmmR7/IqLO9T7qUhpcmZmV7v7tSm7QR1KziRdKX6ZTfFr3Lp1NXvYgoTtk09qJ2y77BJj//1jDBwYrfreo0fqEzbFLrNle/waSs5CG9Y0s58B1xDMqsxJfMWBHZaciYjIjldcHGfMmChjxlRPMli/vnYP23vv5fHiixFefLH6v52dd46x3361E7Y99tCQqEiYz5xdBIwElrt7DMDMrgixfhERyRC77BLniCOiHHFEdcL25ZewaFH182vvvpvH7NkRZs+u/q+oc+c4++8frTUk2quXEjZpXcJMzt519w/rlM0MsX4REclgXbrAqFFRRo2qTti++opEspZXNTQ6Z06EOXOq/3vq1CleNeFg//2DhG3PPZWwSfYKMzn7xsxmAfMINkAHOA44NMR7iIhIFunUqfZ2VABffw3vvVc94eDdd/OYOzfC3LnV/2UVFVX2sMUSs0Sj9O4dJzfxqFvl9lQsW0pnbU8lGSbM5Gw08FDi55w630VERJLSsSOMGBFlxIgolVs0l5QECVvNiQevvprHK69U/zfWoUPQw3Z24aOc84K2p5LMFWZydqm7T61ZYGbPhli/iIi0UkVFMHx4lOHDqxO2TZtq97AtWpTL66/ncXf8xnrrKP3Nbcza6RT69YvRs2d1L5tIugktOaubmCUMJhjmFBERCVX79jB0aJShQ2snbL36fACxrc/fee0SzjijEIB27eL07RvDLPjq1y+KWZC05WkXQGlhYS6l0R+4FegL5BEMaXYG7gzrHiIiIo1p3x5i1p/ceren2ocrzyzDPRf3XJYtC3rcamrbNk6fPtVJW/AVzBhV0iY7SpjDmr8BfgucB/wO6AWcGmL9IiIiTWp4e6qLuajG9lTRKKxenZNI1PJYujRI2D78MJf336+diRUU1E7a+vULkrbeveNEWnwjRMk2Yf6VWuXub5rZRndfBawysxNCrF9ERKRJZeNPpgQonHQrkWVLqWhge6q8PNhzzzh77hnlmGOqZ4vGYkHStmxZLkuX5rFsWW7V1+LFtZO2Nm3i7L13jP79g4StX7/g5969Y+Tn74h3K9kozOSst5ntBOxkZicCXwKHhVi/iIhIUsrGn0zZ+JMpLu7Ahm3c/ic3F3r3jtO7d5Sjj66dtH3ySU6NYdG8qp+XLKmdtOXnBz1tNRO2fv1i7LWXkjZpWpjJ2XSCZOwWYBrQhWDXABERkYyXmws9e8bp2TPKUUdVT0KIxeDTT4OetiBZy6v6uW7SFokEPW3BsGj1EOnee8do06YF3pSkpZRufL6jaeNzSVeKX2ZT/DJXS8YuHofPPsupNQGhcph048bay4Dm5cXZa6/aSZtZkLQVFLRI89NCtn/2dsTG57sCNwHtgLOA24DL3X1DWPcQERHJFDk50KNHnB49au8xGo/DF1/kVE1AqOxtc8/lww/zmDGjuo68vDi9e8cxi9bqadvvg3/S6a5byFu2lKh2QMg6YQ5r3gS8DIxy91Izuwe4EfhpiPcQERHJaDk50L17nO7do4weXTtpW7OmuqetsrfNPY+nn87n6aeD807hUR5l6x0QXn0vl5zTTqZnz9bd25YNwkzOPnX3+8zsYAB3f9vMvgqxfhERkayVkwPdusXp1i3KyJG1k7a1a3OqkrUzbvoD1DMm1f7PtzLozz8iJyfObrvF6d07Rq9escTkhljVV6dOO/BNyXYJMznbOfE9DpCYubl3iPWLiIi0Ojk50LVrnK5dgw3id/nNknrP+07uB5x+6hZWrsxl5cpcXnstj1df3fq/+U6d4omkrfKrOnnr3l3bWqWDMJOzF8zsfaDAzGYABwPnh1i/iIhIqxft159IPTsgxPv35/bby6peb94MH3+cy8qVOVUJW/AVPO/27rtbb3nQpk2cnj237m3r1Ssob9cupW9NEsLcW/NxM3sXOIpg66aJ7u5h1S8iIiIN74BQeuHEWq/btoW+fWP07QsQrXUsFgsmJVQma5WJ26pVwfePPqp3EiHdu9fubavZA9e5c9DLJ80X9qYT+QSJWTyMus1sHrA58TLq7mOaW6eIiEgmq7kDQtVszXp2QGhMbi7stluc3XaLMmzY1se//ppavW2rVlUncPPm5fH661tnYUVF8Ro9bbV733bbTXuTbovQ1jkzs/8Bfg28SZCgHQhc5+5/aUad17j7Ncmer3XOJF0pfplN8ctcil34ysrg449zavW0VfbArVqVy+bNWydu+flxevas+6xbkMD17BmjsLD2+QVTJ1N4+y3V229l6VIhKV/nDJgA7OXu3wKYWSEwA9ju5AzYz8wuI1g7bYG7z2jqAhEREUmdggLo0ydOnz5R6hsuXbMmJ5G0bf2s2/Ll9acdXbtWJ2vfK32U05/ceqmQEsjKBK0+YSZniysTM4DEWmfvAJjZbu7+2XbUeYO7zzezPODlxKbqL4fVYBEREQlPbm71Gm6HHrr18ZISqnrbVqyoHi5dtSqXBQvyeOONHK7kpnrrLpx0a6tJzsIc1pxEsPLKq4miocBOBL1nE939xGbWfz3wrbtf29A5FRXReCSiQW0REZFMs2ULrFoFe/ePkBuLbn1CJALl5Tu+YamV8mHNk4APgZF1yg8B+m5rZWbWHxju7vclivoCUxq7ZsOG0m29TcbQcxOZTfHLbIpf5lLsMkunThCz/uTWs1RIRb/+bMiyWBYXd6i3PMzk7Pfufm99B8zsvO2orwQYa2a7AUXAx8AjzWifiIiIpLlklwrJZqENawKYWTFwGMFSGq+4+7rQKk+CZmtKulL8Mpvil7kUu8xUMHUyhZNurZ6tuY1LhWSKlM/WNLMjgb8BnxCMoe5mZj909xfCuoeIiIhkv7LxJ1M2/mSKiztk3VBmMsIc1jwb2MfdvwIws87A3YCSMxEREZEkhbm96erKxAzA3TcQ9KKJiIiISJLC7DnraWbjCJbSiAMjgB4h1i8iIiKS9cJMzq4A/gEMI0jOXgXODLF+ERERkawXZnI2EPhvYDmAu28KsW4RERGRViHM5Ow+YJySMhEREZHtF+aEgDnuPq9mgZmNDbF+ERERkawXZs/Zv83sMYKlM8oSZWcAT4V4DxEREZGsFmZy9gPgOYIJAZU0W1NERERkG4S9t+Y9NQvM7PgQ6xcRERHJeqE9c1Y3MUtoE1b9IiIiIq1BmHtr3l9P8RBgalj3EBEREcl2YQ5r7gH8PfFzPjAIeDrE+kVERESyXqgbn7v7xzULzOz6EOsXERERyXphJmc5ZtYz8XMu0J3aMzdFREREpAlhJmfvAf8Bcgj21vwcuDHE+kVERESyXpjJ2dXufnuI9YmIiIi0OmEupVErMTOzHjWGOUVEREQkCc1OzsxsqZn9rp5DpwP/bG79IiIiIq1JGD1nL7n7b83s/8xsuZldAuDuNwELQqhfREREpNUI45mzOIC7/9jMHnH3W+oe215mdiQwAVgLxN392ubUJyIiIpLuQnvmLKFZyVhNZlYI3ANc7O7XAPub2Ziw6hcRERFJR2H0nE0ws0GJn/ua2Ws1jvUGLtjOeocCq9y9LPH6VeB4YNZ21iciIiKS9sJIzj4AHmzg2BnNqHdXYGON1yWJsgYVF3fIacb90l5xcYeWboI0g+KX2RS/zKXYZbbWGL8wkrOr3P21+g6YmTej3rVAzYgUJcpEREREslaznzlrKDFLHJvXjKpfB3qZWUHi9XBgRjPqExEREUl7OfF4aM/wh87MjgJOBtYB5ZqtKSIiItkurZMzERERkdYm7KU0RERERKQZlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGIi3dgDCtW7cx3tJtSJXOnQvZsKG0pZsh20nxy2yKX+ZS7DJbtsevuLhDTn3l6jnLEJFIXks3QZpB8ctsil/mUuwyW2uNn5IzERERkTSi5ExEREQkjSg5ExEREUkjSs5ERERE0khWzdYUERHJdGdf/2LS595/+REpbIm0FPWciYiIiKQRJWciIiIiaSRlw5pm1g24Dhjo7oPrOX4WcCiwHDgQuNPdX0scmwdsTpwadfcxqWqniIiISDpJ5TNnI4DpwKAGjvcALnL3zWY2BPgrsF/i2DPufk0K2yYiIiKSllKWnLn7ZDMb1cjxP9R4mQtsqvF6PzO7DGgHLHD3GalppYiIiEh6afHZmmaWA1wITKxRfIO7zzezPOBlM9vo7i83VVfnzoVZvdVDcXGHlm6CNIPil9kUv8yVzbHL5vdWqTW8x7paNDlLJGY3AQ+4++uV5e4+P/E9amZzgdFAk8lZlm+Oyrp1G1u6GbKdFL/MpvhlrmyPXTa/N8j++DWUeO7Q2ZpmtpOZFSd+zgMmAU+6+zNmdlKivL+ZnVPjsr7ARzuynSIiIiItJZWzNUcCZwLdzewq4BbgLIKH/n9O0GN2IrC/mQHsDTwBlABjzWw3oAj4GHgkVe0UERERSSepnBAwB5hTp/iuGscnUvs5s8ryz4DxqWqXiIiISDrTIrQiIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkYi23KymRUDX7p7NIlzuwHXAQPdfXA9x3OBPwKbgF7Afe4+L3HsSGACsBaIu/u129JOERERkUyVVM+ZmY0ws0XANOAtM/tpEpeNAKYDOQ0c/z5Q5O7XAZcBD5lZnpkVAvcAF7v7NcD+ZjYmmXaKiIiIZLoGkzMz61Xj5RnAYHcf7u6DgH2bqtjdJwMbGznleOD1xLlfApsT9Q4FVrl7WeK8VxPnioiIiGS9xoY1J5nZa8AtwAbgfDN7G+gGFIdw712pnbyVJMqKGygXERERyXoNJmfufqKZnQ7MJHg2bB/gJOBT4MIQ7r0W6FDjdVGiLN5AeZM6dy4kEskLoWnpqbi4Q9MnSdpS/DKb4pe5sjl22fzeKrWG91hXoxMC3P1hM5sB/IkgabrC3b/e3puZ2U5AobuvA2YAhwN/M7MuQFtgMVAA9DKzgsTQ5nDgL8nUv2FD6fY2Le0VF3dg3brGRoklnSl+mU3xy1zZHrtsfm+Q/fFrKPFsMDlLPHN2PvA1wQP7+wKPm9n97v5oUzc0s5HAmUB3M7uKYHj0LGA/4OfAP4EDzOxqoCfww8Qs0FIzOw+4w8zWAYvcfVayb1REREQkkzXWc3Y98AjQBfidu19sZscCE81sirtPaKxid58DzKlTfFeN4zGCpK++a58Hnk+i/SIiIiJZpbGlNL5w938BDwGFAO4edfebgIt2RONEREREWpvGkrOvzOwt4D2CSQFV3H11SlslIiIi0ko1mJwlVuUfDRzk7tN2XJNEREREWq+mZmuW7KiGiIiIiIg2PhcRERFJK0rORERERNLIdiVnZnZM2A0RERERkSaeOQMwsz2BnwBdqU7mhgDPpLBdIiIiIq1Sk8kZMJVgq6XXgGiibI+UtUhERESkFUsmOfvC3X9ds8DMXkxRe0RERERatWSSs5fM7EcEPWdlibKrgJ+lrFUiIiIirVQyydnVwJo6ZZ1RciYiIiISumSSswfd/byaBWamvTVFREREUqDJpTTqJmYJq1LQFhEREZFWr8GeMzP7CfAIcGedQznAIQSzOEVEREQkRI0Na/YF2hIsm/H3Osd2T1mLRERERFqxBpMzd78MwMwmuvt7NY+Z2cJkKjezI4EJwFog7u7X1jl+H7B3jaL9gQPdfaWZrQRWJso/dfcfJHNPERERkUzW5ISAuolZQ2V1mVkhcA+wr7uXmdkTZjbG3WfVOO05d38scX4R8IC7r0wce8Ddr0niPYiIiIhkjWRma26vocAqd69cG+1V4HigKjmrTMwSzgHur/H6cDP7FdABmOnur6WwrSIiIiJpIZXJ2a7AxhqvSxJlWzGzXOC7wO01ii939/mJHriFZjbW3T9q7IadOxcSieQ1s9npq7i4Q0s3QZpB8ctsil/myubYZfN7q9Qa3mNdSSdnZtbZ3TdsQ91rCXq9KhUlyupzAvCUu8crC9x9fuJ7qZm9AwwHGk3ONmwo3YbmZZbi4g6sW7ex6RMlLSl+mU3xy1zZHrtsfm+Q/fFrKPFscp0zMzsk8XD+M2ZWaGZzzOzAJO75OtDLzAoSr4cDM8ysS+L5sprOAh6occ8xZnZMjeN9gOVJ3FNEREQkozWZnAEXAmOAhe5eChwD/HdTFyXOPQ+4w8yuAxYlJgNcDvyi8jwzGwQsc/dNNS5fC/zUzK40sz8DT7j7K8m+KREREZFMlcyw5kp3X25mALj7t2b2VTKVu/vzwPN1yn5V5/U7wDt1yt4DTkrmHiIiIiLZJJmesx5m1gOIA5jZCGqvTSYiIiIiIUmm5+xWYDZBkvYj4AtgfCobJSIiItJaJbPx+SJgH2AwMASwRJmIiIiIhCyZ2ZoTgD+4+2J3fx/4tZkVp75pIiIiIq1PMs+cnQ08WOP1NOCm1DRHREREpHVLJjl7390/qHzh7u8C61PXJBEREZHWK5nkrLeZ7Vz5wsx2AXqmrkkiIiIirVcyszX/F/jAzNYQLKfRFTgtpa0SERERaaWaTM7c/UUz2xc4NFH0mrt/mdpmiYiIiLROSW187u7rgacqX5vZ1e5+bcpaJSIiItJKNZmcmdm5wNXArkBO4isOKDkTERERCVmyG5+PBNq4e5675wJXpbZZIiIiIq1TMsOa77r7h3XKZqaiMSIiIiKtXTLJ2TdmNguYB5Qlyo6jeoKAiIiIiIQkmWHN0cDLwBaqnznLSWWjRERERFqrZHrOLnX3qTULzOzZZCo3syOBCcBaIF53hqeZnQX8HNicKLrP3f+WOHYGcAAQBZa7+73J3FNEREQkkyWzztlUMxsN7AE8Ahzs7q83dZ2ZFQL3APu6e5mZPWFmY9x9Vp1TT3X3lXWu3R24FDjA3eNmtsDMXqzn2TcRERGRrNLksKaZXQ78jmBXgBhwiplNTKLuocAqd698Tu1V4Ph6zvsfM7vUzH5rZl0SZd8F3nL3eOL168CxSdxTREREJKMlM6zZ090PM7O73T0KXGRmtydx3a7AxhqvSxJlNc0BZrj7OjM7DngcGJPktVvp3LmQSCQviaZlpuLiDi3dBGkGxS+zKX6ZK5tjl83vrVJreI91JZOcfZ34Hq9R1i6J69YCNf9EixJlVdx9RY2XLwL/MrO8xHl96lz7UVM33LChNIlmZabi4g6sW7ex6RMlLSl+mU3xy1zZHrtsfm+Q/fFrKPFMZrZmoZldCfQ0s/8ys/9HMLzZlNeBXmZWkHg9HJhhZl3MrAjAzP5kZpUJYl9gRaJ37lngIDOrnBU6FK2tJiIiIq1AMsnZZUBboGvi5y+AJp85c/dS4DzgDjO7DliUmAxwOfCLxGlfAHcnkr8rgTMT134C3AzcZma3AH/VZAARERFpDZIZ1vwj8Lq7/3ZbK3f354Hn65T9qsbPkxq59u/A37f1niIiIiKZLJmes+OBF1LdEBERERFJLjl7Bfi2ZoGZXZya5oiIiIi0bskMa3YEPjCz16neW3MIcFvKWiUiIiLSSiWTnPUHrq1TtkcK2iIiIiLS6iWTnP207nZNiV40EREREQlZMsnZvMQG5V2B24EJ7v5ISlslIiIi0kolMyHgJoItlYYCW4CuZvbHlLZKREREpJVKJjnLdfczgc/dPe7utwMFTV0kIiIiItsumeSscqummntr7pKCtoiIiIi0esk8c1ZqZv8LmJn9EjgKmJ/aZomIiIi0Tg0mZ2Z2LPAScDXwY6AzwfpmjwH375DWiYiIiLQyjfWc/RB4lmB25v3USMjMbG9geYrbJiIiItLqNPbMWeVuACPrOXZhCtoiIiIi0uo11nP2GbAZyDOz/65RnkMwOeCCVDZMREREpDVqrOfsMaADcLO759X4ygVu3jHNExEREWldGus5uxb4PvBMPcf+lEzlZnYkMAFYC8Td/do6xy8DugFfAAcBv3X3pYljK4GViVM/dfcfJHNPERERkUzWWHL2qbtvMbPxBLM2a/odTQxrmlkhcA+wr7uXmdkTZjbG3WfVOK09MNHd42Z2CsFuBOMSxx5w92u25c2IiAicff2LSZ97/+VHpLAlIrI9GkvOOpjZx4nvY2uU5xAsq9HUM2dDgVXuXjmx4FXgeKAqOXP339Q4PxfYVOP14Wb2K4Kh1Znu/loT9xMRERHJeA0mZ+7+QzPrAfyBYK2zSjnANUnUvSuwscbrkkTZVsysDfAjoObEg8vdfX6iB26hmY1194+SuK+IiGSxbekZfPKWE1LYEpHUaHSHAHf/1Mx+7u6ba5ab2S1J1L2WoNerUlGirJZEYnY38Gt3r1o7zd3nJ76Xmtk7wHCg0eSsc+dCIpG8JJqWmYqLOzR9kqQtxS+zZWv8svV91ZTN7zGb31ul1vAe62psh4ABwBLg+2ZW9/AZwNFN1P060MvMChJDm8OBv5hZF6DC3UvMrB3wF4IZoYvN7CR3f8LMxgD57l45GaEPSSx6u2FDaVOnZKzi4g6sW7ex6RMlLSl+mS2b45et76umbH6P2fzeILs/e9Bw4tlYz9m9wOnA5cAbdY71aOqGiR6v84A7zGwdsMjdZ5nZjcCXwPXAP4DvAHsmEsCdgCcIetiuMbMDgd2AJ9z9labuKSIiIpLpGnvm7DAAM7vK3afUPGZmE5Kp3N2fB56vU/arGj/XW4+7vweclMw9RERERLJJY4vQAlA3MUvYJQVtEREREWn1GnvmrLHpMH2B/w2/OZJNtNaSiIjItmvsmbONwK0Ea5OVAXMT5SOARSlul4iIiEir1Fhy9ovEUhqn1nxODHjOzO5IdcNEREREWqMGnzlz908TP+6TWIsMADMrAPZLdcNEREREWqNGF6FNeAJYZWYLgDgwmGDXABHJYnpmUESkZSQzW/NO4CiCJTFmAd9197tS3TARERGR1iiZnjPc/X3g/RS3RSSjaH8/ERFJhSZ7zkRERERkx1FyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaSSpRWi3l5kdCUwA1gJxd7+2zvG2wM3Ap0Bf4Hp3X5Y4dgZwABAFlrv7valsq4iIiEg6SFnPmZkVAvcAF7v7NcD+ZjamzmkXAavd/U/AbcB9iWt3By4FLnX3XwE/MbO+qWqriIiISLpIZc/ZUGCVu5clXr8KHE+wP2el44ErAdz9PTMbaGZFwHeBt9w9njjvdeBY4MMUtldEWolt2XoLtP2WiOxYqUzOdgU21nhdkihL5pxkrt1K586FRCJ529XYTFBc3KGlm7BNsv0/tG19f4pf+tie95ZJ8cvm2IE+e5lu3CXTkz73yVtOyLj4hSGVydlaoOafaFGiLJlz1gJ96pR/1NQNN2wo3a6GZoLi4g6sW7ex6RMlLSl+mU3xy1yKXebL5vg1lHimcrbm60AvMytIvB4OzDCzLomhS4AZBMOfmNl+wLvuXgI8CxxkZjmJ84YCM1PYVhEREZG0kLLkzN1LgfOAO8zsOmCRu88CLgd+kThtEkECdxVwCXBO4tpPCGZx3mZmtwB/dXc9byYiIiJZL6VLabj788Dzdcp+VePnb4H/buDavwN/T2X7RERERNKNFqEVERERSSNKzkRERETSiJIzERERkTSi5ExEREQkjSg5ExEREUkjSs5ERERE0oiSMxEREZE0ktJ1zkRERERquv/yI1q6CWlPPWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGsmJx+Mt3QYRERERSVDPmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGIi3dAKmfmf0S6A2sB/oC5wDtgOuBfyfKrnT3NS3VRqmfmV0M9AC+AQqAK4DOKHZpyez/t3e3IVJVcRzHvyqUT5kJiT2RYfYvKC20IioNrFQUMot6I1kQIVGYsVZimpG5Smv2YKlFZaCFYKBgiWQkZQiWLyISf5alW5lsYGFm2gP14py1cZ0VN9jdOzO/z6s55569nOE/Z+9/zr1nTgwA5gJDJV2Z67oDDcAPpHjNl7QzH5sEXAH8DeyStKxTOm5A+fjl+juAemCqpHUl9TcCE4Em4B9JT3Zwly1rZew9CgwA9gHDgNmSduRjNTP2PHNWQPkDO5lb/mMAAARPSURBVAN4UNITQC/SP5N5wEZJ84E1pIuHFUhEXA5MllSXYzcYmIBjV2TXAWuBLiV1DwGNkuqBRcBrABFxLlAH1El6BLg3IgZ3cH/tWMfFLyIuAH4CvittGBE9gaXANElzgCERMarjumotlBt7vYGHJS0A3gGegdobe07OiukQ8AfQJ5d7A18C44Atue6TXLZiGcyxF4RvgFE4doUlaTXwa4vqo/GS9AUwNCL6AKOBbZKaf717CzC2o/pqxysXP0nfSvqwTPNrgD2SjuSyx2InaiV2s0rGV1fgYH5dU2PPyVkBSToATAdWRcRy4Hvga6A//32QDwBnRIRvTRfLp8AlEdE9IroAw0lJtmNXWUrjBSlm/U9Qb5XB8asQEXEKMBl4PFfVVOycnBVQvjU2HRgn6W7Sc2ezSc9InJab9QF+lvRXp3TSypK0G7gPmAVMJc14NuLYVZrSeEGKWdMJ6q0yOH4VICdmS4CZknbl6pqKnZOzYjoH2F9y8f4R6A68S5qWB7g2l6149kuaKek5oC+wEseu0hyNV0RcBnyeZ7Q3AMPyrCi5zfrO6aL9D1uA8yPi1Fz2WCyYiOgBLAOelbQtIm7Lh2pq7Hnj8wKKiG7AC8Bh4BfgUtIDykeABcAeYBDwmFf8FU9EfAR8TIrXdkmrI6Ifjl0hRcRI4C5gDOnb+sJ8qIH0xehCYF6L1ZrDSSvGdlbzirFK0Er8DgMzSavcNwMrJG3I7W8CbictGPjTqzU7TyuxW0m65u3NzXqVrOSsmbHn5MzMzMysQHxb08zMzKxAnJyZmZmZFYiTMzMzM7MCcXJmZmZmViBOzszMzMwKxMmZmdWkiBgYEbtPot34iFiRX98fEXsj4oZ27p6Z1TAnZ2ZmJ/Y+accOJL0M7Ozc7phZtfPefmZW9SKiJ/AKsA/oCRwCzgT6RcRiYAfpRy8bgI2kbWKuB14CLgZGAgNbnPMs0i+UfwW8SNpXdQHwO3A6aYPt+nZ+a2ZWhZycmVktGAP0kzQJICJmAIuBkZIeaG4UEUOA0aTEbBBwHvA2sKnMOa8CVjUnYBHxFNAkaW4ub46IrZI+aLd3ZWZVycmZmdWCz4CFEbEWWAUsAga00nZT3tdWgCJiYJk2E0lbAEVJ3VigKSKW5vJvpOTOzKxN/MyZmVU9SY3ARcCrwJ2kW5CtfTk9chKn3A+sISV5zboAb0qaImkKMJ4062Zm1iZOzsys6kXEeGCEpHWSbgHOBg4C3fLxe9p4yk1AHTAiIsbluvXAzSVtGkibNJuZtYk3PjezqhcRVwNzgO1AX9ICgAbgPdJCgEPAW8Dz+U+WSHojInoAS4FbgXm5bT2wFZgGLCfd2nwaeJ00k9aVtCigUVJD+787M6s2Ts7MzMzMCsS3Nc3MzMwKxMmZmZmZWYE4OTMzMzMrECdnZmZmZgXi5MzMzMysQJycmZmZmRWIkzMzMzOzAnFyZmZmZlYg/wJvKArhAs612gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n", + "ax1.plot(k_list, anal_res, 'b', label='analytical')\n", + "ax1.plot(k_list, stat_res, 'ro', label='static')\n", + "ax1.set_ylabel('European call option value')\n", + "ax1.legend(loc=0)\n", + "ax1.set_ylim(bottom=0)\n", + "wi = 1.0\n", + "ax2.bar(k_list - wi / 2, (anal_res - stat_res) / anal_res * 100, wi)\n", + "ax2.set_xlabel('strike')\n", + "ax2.set_ylabel('difference in %')\n", + "ax2.set_xlim(left=75, right=125);\n", + "# plt.savefig('../../images/ch12/stoch_15.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n", + "ax1.plot(k_list, anal_res, 'b', label='analytical')\n", + "ax1.plot(k_list, dyna_res, 'ro', label='dynamic')\n", + "ax1.set_ylabel('European call option value')\n", + "ax1.legend(loc=0)\n", + "ax1.set_ylim(bottom=0)\n", + "wi = 1.0\n", + "ax2.bar(k_list - wi / 2, (anal_res - dyna_res) / anal_res * 100, wi)\n", + "ax2.set_xlabel('strike')\n", + "ax2.set_ylabel('difference in %')\n", + "ax2.set_xlim(left=75, right=125);\n", + "# plt.savefig('../../images/ch12/stoch_16.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### American Options" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "uuid": "033296d5-230b-4b35-ae3f-a2a7ed8c8937" + }, + "outputs": [], + "source": [ + "def gbm_mcs_amer(K, option='call'):\n", + " ''' Valuation of American option in Black-Scholes-Merton\n", + " by Monte Carlo simulation by LSM algorithm\n", + " \n", + " Parameters\n", + " ==========\n", + " K : float\n", + " (positive) strike price of the option\n", + " option : string\n", + " type of the option to be valued ('call', 'put')\n", + " \n", + " Returns\n", + " =======\n", + " C0 : float\n", + " estimated present value of European call option\n", + " '''\n", + " dt = T / M\n", + " df = math.exp(-r * dt)\n", + " # simulation of index levels\n", + " S = np.zeros((M + 1, I))\n", + " S[0] = S0\n", + " sn = gen_sn(M, I)\n", + " for t in range(1, M + 1):\n", + " S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n", + " + sigma * math.sqrt(dt) * sn[t])\n", + " # case based calculation of payoff\n", + " if option == 'call':\n", + " h = np.maximum(S - K, 0)\n", + " else:\n", + " h = np.maximum(K - S, 0)\n", + " # LSM algorithm\n", + " V = np.copy(h)\n", + " for t in range(M - 1, 0, -1):\n", + " reg = np.polyfit(S[t], V[t + 1] * df, 7)\n", + " C = np.polyval(reg, S[t])\n", + " V[t] = np.where(C > h[t], V[t + 1] * df, h[t])\n", + " # MCS estimator\n", + " C0 = df * np.mean(V[1])\n", + " return C0" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "uuid": "18dba6e2-2a7f-4474-bbee-227f354fcbc3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "7.721705606305352" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm_mcs_amer(110., option='call')" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "uuid": "a82c68fc-9820-43a7-8302-3ae0f5a47650" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "13.609997625418051" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm_mcs_amer(110., option='put')" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [], + "source": [ + "euro_res = []\n", + "amer_res = []" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [], + "source": [ + "k_list = np.arange(80., 120.1, 5.)" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "for K in k_list:\n", + " euro_res.append(gbm_mcs_dyna(K, 'put'))\n", + " amer_res.append(gbm_mcs_amer(K, 'put'))" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "uuid": "2c4a0f35-5a41-416b-aa39-53d78d1cc366" + }, + "outputs": [], + "source": [ + "euro_res = np.array(euro_res)\n", + "amer_res = np.array(amer_res)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "uuid": "6304932d-114f-43b1-ae59-4b0ad2de33fc" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n", + "ax1.plot(k_list, euro_res, 'b', label='European put')\n", + "ax1.plot(k_list, amer_res, 'ro', label='American put')\n", + "ax1.set_ylabel('call option value')\n", + "ax1.legend(loc=0)\n", + "wi = 1.0\n", + "ax2.bar(k_list - wi / 2, (amer_res - euro_res) / euro_res * 100, wi)\n", + "ax2.set_xlabel('strike')\n", + "ax2.set_ylabel('early exercise premium in %')\n", + "ax2.set_xlim(left=75, right=125);\n", + "# plt.savefig('../../images/ch12/stoch_17.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Risk Measures" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Value-at-Risk" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "S0 = 100\n", + "r = 0.05\n", + "sigma = 0.25\n", + "T = 30 / 365.\n", + "I = 10000" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": { + "uuid": "5473289e-2301-40fb-a665-2d33d43ea09a" + }, + "outputs": [], + "source": [ + "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n", + " sigma * np.sqrt(T) * npr.standard_normal(I)) " + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "uuid": "b2eed114-77e7-479b-b20b-d36a0ffbe636" + }, + "outputs": [], + "source": [ + "R_gbm = np.sort(ST - S0) " + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "uuid": "b53e5254-96cc-4294-8ef7-76a2cf21cbca" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(R_gbm, bins=50)\n", + "plt.xlabel('absolute return')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_18.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.simplefilter('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "uuid": "768aa308-d5c2-4f5d-9936-c19c9321996a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Confidence Level Value-at-Risk\n", + "---------------------------------\n", + " 99.99 21.814\n", + " 99.90 18.837\n", + " 99.00 15.230\n", + " 97.50 12.816\n", + " 95.00 10.824\n", + " 90.00 8.504\n" + ] + } + ], + "source": [ + "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n", + "var = scs.scoreatpercentile(R_gbm, percs)\n", + "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n", + "print(33 * '-')\n", + "for pair in zip(percs, var):\n", + " print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "dt = 30. / 365 / M\n", + "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": { + "uuid": "b9952498-c4ad-4d5a-8d3c-3bce1d71006d" + }, + "outputs": [], + "source": [ + "S = np.zeros((M + 1, I))\n", + "S[0] = S0\n", + "sn1 = npr.standard_normal((M + 1, I))\n", + "sn2 = npr.standard_normal((M + 1, I))\n", + "poi = npr.poisson(lamb * dt, (M + 1, I))\n", + "for t in range(1, M + 1, 1):\n", + " S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt\n", + " + sigma * math.sqrt(dt) * sn1[t])\n", + " + (np.exp(mu + delta * sn2[t]) - 1)\n", + " * poi[t])\n", + " S[t] = np.maximum(S[t], 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "uuid": "37cfd26e-2c44-456a-8b8b-56cf10e12aac" + }, + "outputs": [], + "source": [ + "R_jd = np.sort(S[-1] - S0)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "uuid": "3300cad0-872b-45ef-9b12-3fc3507b2c54" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(R_jd, bins=50)\n", + "plt.xlabel('absolute return')\n", + "plt.ylabel('frequency');\n", + "# plt.savefig('../../images/ch12/stoch_19.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "uuid": "8adcca19-77bf-4d8e-a342-1a5cc1cadd69" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Confidence Level Value-at-Risk\n", + "---------------------------------\n", + " 99.99 76.520\n", + " 99.90 69.396\n", + " 99.00 55.974\n", + " 97.50 46.405\n", + " 95.00 24.198\n", + " 90.00 8.836\n" + ] + } + ], + "source": [ + "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n", + "var = scs.scoreatpercentile(R_jd, percs)\n", + "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n", + "print(33 * '-')\n", + "for pair in zip(percs, var):\n", + " print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "uuid": "812884b3-c147-4799-8b7a-93eb62a9b1fc" + }, + "outputs": [], + "source": [ + "percs = list(np.arange(0.0, 10.1, 0.1))\n", + "gbm_var = scs.scoreatpercentile(R_gbm, percs)\n", + "jd_var = scs.scoreatpercentile(R_jd, percs)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "uuid": "b960f3cc-fed3-4cfa-9189-040931e4ab09" + }, + "outputs": [ + { + "data": { + "image/png": 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TKWcQ32Zb4r/YhsTQjXTZrMgqKJhJp1VV5WPaNPjuuyALFvhYuNDPwoVu+Jo/38+CBT5isRWTkt/v9lj16eMuBrrVVkl69nTo0cOhZ88k5eXuEOLPFwYtLVXoEgHcRVfnziE47VsCdpq79pf9jsAPdllvWKJff1r33ofYHiNo3XV3kkM30i+QSIYUzCSnxePuEGNVlY/Zs/189ZWfr74K8NVXfubPT0/ydRdwLCx0w1bfvkl22ilB//5ur1a/fg79+7vDiL16OQT1X73I2jkOvspKgnba8gD27TcEvpuGv2H5/RMTAwcRN5vTutdI4ptvQWyXXRXERDaA/kSJ56JR+P57f+oR4Pvv/cydu+rJ8z6fw6abJhk+PMHWW7cyfHiI4uIG+vXTUKLIeksk3Plgn/0vwS8+dyfo22n4ly5ddkqyvJz4FlvRcvSxxLf8BfHNtyCx+RY44YiHhYt0PQpm0u6SSaiuTg8pLh9WnD/fz5Il7uKn7iKo6VvtLE9T+fkOG2+cZKONlk+er6hwH/37J9liiyTFxcs/q6IiRGVl0oPvUqQTi8fJ+3AK+f95h+CnnxD8/LNlvWDJSCkJszkth4wiYTYnvtnmJDbfgmSfvvo/H5EOoGAmGXMcd4mIn35y53O5k+jd7fTip4sXu71c8fjKc7vSVyxGIg5Dh7o9XJGIu3/TTZMYk2DwYA01imRFczP5k18n/7V/UjD5NfxLl+IEg8S32pqWo44mtuNOxHf8JYlhmyiAiXhIfwJllVpb4dtv/XzzTYBvv/WnHgGqq1f8BzsQcNfZSk+m33rrBL17uz1cffs69OvnzvPq3VuBS6TDxWLk/+dtCp57Bia/RmlDA8lwhNb9D6TlkFG0jtxXtx8SyTH6Uyk4DsyZ4+PTTwN89lmATz8N8PXXflpa3BBWVOSwxRZJDj00xpZbJhkyJLlsba5evRwttC2SSxyH4OefUvDc04Reeh5/VRXJsjI47jhq9jmI2B4jdCNukRymYNYNOQ7MmOFjypQgU6YEmDo1wIIFbroqLHRXoh83LsYOOyTYeusEQ4cqfInkOl/1UkLPPEVo0iMEv7c4BQW0HPgrWo4cTes++1ExoCexyqjXZYrIWiiYdVGJBCxe7M4Hmz3bz6xZ/tSzjxkz/FRVuUmroiLJbrslGD68lZ13TrD55kmt+SjSWTgOeR9NJfTYwxT88yV8LS3EdtyJ6IS7aPn1YTiRUq8rFJF1pGDWyUWj8OWXAT7/3J0PNm+ee9ugBQtWnoDfv787DLn//gl++ctWdtstzrBhjub5inQW8TjBb74i7+MPCX78EXkff0hgwXyS4QjNxx1P09iTSGz1C6+rFJENoGDWidTXw9dfB/jiCz9ffOE+T5/uX7bOVzp47bxzgoEDkwwY4DBwYJIhQxwGDUoSCnn8DYjIOvMvmO9eTTn5NfKnTsHX2ABAYsBAYsN3pWHkfrT8+jessI6MiHRaCmY5KhaDb77x8/HH7oT8L74IMHPm8sVW+/ZNst12CY44Is522yXYZpskvXo5HlctIu0hMHM6BS8+T/4br5H3xecAxDcaRvPRxxLbZVdiOw8nOWCgx1WKSDYomOWQL77w89prQT7+OMDnnwdobFzeE7bttgmOPNJ93npr96pIEeliHIfQE49RcskF0NpKfMedqL/sSloPOoTEpptpfTGRbkDBzGPNzfCPfwR5+OF8PvssQCDg8ItfJDnuuBg775xI3fNRIUyky2tqouTi8yl86nFa9xpJ9I57Sfbr73VVItLBFMw8smCBjwceyOPJJ/NYssTPppsmuP76Zo46KkZEt54T6Vb8s34kMm4seV9/ScP5F9F4wcUQCHhdloh4QMGsg8Xj8OCDedx4YwHNzXDQQXHGjWtmjz0SGqUQ6Yby33qD8Jmngg9qn3yW1v0O9LokEfGQglkH+uILP+efH+LLLwPsu2+cG25oZuhQDVOKdFf5b71B5PhjiG+1NXUPPkZyyFCvSxIRjymYdYBoFG6+uYD778+jVy+HBx5o4te/jquHTKQbC37yEZGTTyD+i22offEVnJKw1yWJSA5QMMuSWbN8/PvfQd56K8gHHwRobYUTTohx6aUtlGoxbpFuLfC9pXTMUST69qP2yecUykRkGQWzdtTUBBMn5vPcc0G+/96duLvxxklOPDHGEUfE2G67pMcViojX/PPnUTr6txDMo/bpF3EqKrwuSURyiIJZO3AceP31IJdfXsCcOX723DPO8cc3s99+7i2PREQAfDXVlB59OL7aWmr/8RrJoRt5XZKI5BgFsw00Y4aPSy8N8fbbQTbfPMGLLzay++4Jr8sSkVzT2Ejp2KMJzJxB7VPPE996W68rEpEcpGC2Ae65J4/rrisgFIJrrmlm3LgYeXleVyUiOaelhdITjyX4yUfU3fcwsT338roiEclRCmbracECH9dcU8DIkQkmTGjWLZJEZNViMSKnnED+u29Td8e9tI76rdcViUgO8ySYGWMmAI1APbAt8Edr7cLUsQuBCFAOvGmtfdmLGtdm0qQ8kkm4/nqFMhFZjUSC8FmnUPDGa0RvvI2Wo4/zuiIRyXF+jz63wVp7qbX2BuBz4FIAY8wuwEhr7V+Ac4HbjDFlHtW4WrGYG8z23TehBWJFZNWSSUrOO5vQSy9Qf/k1NI87xeuKRKQT8CSYWWsv+1kN9antQ4GpqXNiwDRgRMdWt3avvx5k0SI/J53U6nUpIpKLHIeSS/9E4VOP03D+RTT9/hyvKxKRTiJrQ5nGmMlAn1Ucujw9PJnqDTsAOCJ1rDduGEurS+3LKQ89lMfgwUn22UdXX4rIygon3k3hg/fRePrvafzTn70uR0Q6kawFM2vtGu/Ea4wpBe4Bxllrl6Z2LwbaLoEdSe1bo/LyIoLBwPqWuk4WLw4zZQrcdBP07avVunNBRYXaIRd123aZPBmuvAwOP5yiu/9Kkd+rGSMr67ZtkuPULrnHyzbxavJ/L+B24EJr7TxjzBHW2ueBV4ArUucEgS2B99b2ftXVjdksd5mKijC33dZKQUEeo0Y1UFmp+WVeq6gIU1kZ9boM+Znu2i6B6T9QdtRokptvSfWtd8GSBq9LWqa7tkmuU7vkno5okzUFP6+Wy3gz9dlPGGMAosDz1tqPjDHvGGOux70q8zxrbY1HNa4kGoVnnsnjsMPi9OypUCYiy/lqqomMHQ35edRO+juUlHhdkoh0Qp4EM2vtDms4dktH1rIuJk2ChgafJv2LyIricSKnjSMwZza1z/+T5KDBXlckIp2UFpjNkOPAPffANtsk2GEH3YxcRJYrvuov5L/zb6L/cyex4bt5XY6IdGK5Mys1x02dGuCbb2DcuFZ8Pq+rEZFcUfDU4xRNvJvGk0+jecwJXpcjIp2cglmGHn44j/Jy+M1v4l6XIiI5IvjRh4QvOIfWESNpuPoGr8sRkS5AwSxDCxf6OO88KCryuhIRyQX+uXMoPelYEgMHUXf/wxDUzBAR2XD6lyRDL73URN++YSorva5ERDxXX0/p8cdAa4y6x5/BKe/hdUUi0kUomGUo0DHr14pIrksmiZx9OoFp31D75LMkNt3M64pEpAtRMBMRWQdFN19PwasvU3/19cT22d/rckSki9EcMxGRDBVOvJvi/7mZpmPG0HTaWV6XIyJdkHrMRETWxnEouvEaiifcSssho6i/eQJaN0dEskHBTERkTRIJSi46n8LHHqJpzAnU33K7Jp2KSNYomImIrE5LC5EzT6Hgny/ReM75NPz5cvWUiUhWKZiJiKyCrz5K5MQx5L/3DvVXXkfTmWd7XZKIdAMKZiIiP+NbtIjS435H8JuvqLvjXlqOPs7rkkSkm1AwExFpIzDjB0pHH4G/ajF1jz1F6/4HeV2SiHQjCmYiIinBTz+hdMxRANS88ArxHX7pcUUi0t1oHTMRESD/zdcpO/xQnJIwNa++pVAmIp5QMBOR7s1xKLz3LiInHEt8s82pfvVfJIZt4nVVItJNaShTRLotX0014T+cQcEbr9Fy8KHU3X0flJR4XZaIdGMKZiLSLQU//YTIqSfhX7iA+mtvpOmUM7RGmYh4TkOZItK9OA6FE++mbJR7tWXNPyfTdOqZCmUikhPUYyYi3UrxNVdQdNfttBx0CNE77sEpK/e6JBGRZdRjJiLdRsE/XqDorttpGnsSdY8+qVAmIjlHwUxEuoXAtG8Jn3MWsV/uTP0Nt2joUkRykoKZiHR5vtoaIiceS7KkhLqHJkF+vtcliYiskuaYiUjXlkwSPutUAnPnUPPCqyT79vO6IhGR1VIwE5Eurei2myh48w2iN9xCfPiuXpcjIrJGGsoUkS6r4IVnKb7lBpqPOobmcad6XY6IyFopmIlI15NIUHT91UROH09s5+FEb7ldk/1FpFPQUKaIdCm+2hrCZ55CwVuTaTrueOpvvA0KCrwuS0QkIwpmItJlBL63RE44hsDsWURv+h+aTxyvnjIR6VQUzESkS8h/6w3Cp42HUIjaF14hNnw3r0sSEVlnmmMmIp1e6InHiBx/DIlhG1P91n8UykSk0/Kkx8wYcw6wNfA9sDtwo7V2aurYhUAEKAfetNa+7EWNItIJOA5Ft99K8Q3X0DpyX2ofnAQlJV5XJSKy3rzqMSsAzrbW3gw8AlwNYIzZBRhprf0LcC5wmzGmzKMaRSSXJRKUXHIBxTdcQ/ORo6md9LRCmYh0ep4EM2vtzdbaptTLTYBvU9uHAlNT58SAacCIjq9QRHJaczORU0+i8KH7aTzzD0TvmqjbLIlIl5C1oUxjzGSgzyoOXW6tfdkY0xe4BNgeODx1rDduGEurS+1bo/LyIoLBwAZWnJmKinCHfI5kTm2Sm7LWLt99B8cfD598ArfdRtF551GUnU/qcvS7kpvULrnHyzbJWjCz1h64luMLgXOMMfsArwE7A4uBtj+NSGrfGlVXN25ApZmrqAhTWRntkM+SzKhNclNW2iWZpPC+eyi+/mqcoiKiDz1O66GjQO2fEf2u5Ca1S+7piDZZU/DzZCgzNcE/7UdgWGr7FWDX1DlBYEvgvY6tTkRyjX/2LEp/ewgll/+Z1r1GsvQ/H7mhTESki/FqHbPBxpjbgCpgW+BkAGvtR8aYd4wx1+NelXmetbbGoxpFJAcU/P0JSi65EPx+6u64l5bRx2rRWBHpsjwJZtbas9dw7JaOrEVEclQiQfG1V1J0919p3X1Ponf+jeTAQV5XJSKSVVr5X0RyT0MDkTNOpuCNV2kadwr1194EQf1zJSJdn/6lE5Gc4l8wn8iY0QS/+Yro9TfTfPLpXpckItJhFMxEJGcEv/w/ImNG46uvp+7xp2ndb40Xd4uIdDm6V6aIeM9xCE16hLJD9oe8PGpeeVOhTES6JfWYiYi36usJ/+lcQs89Teve+1B3zwM4vXp5XZWIiCcUzETEM4HvphEZP5bAjOk0XHQpjX+8AAIdcxcPEZFctNahTGPMHqvYd2Z2yhGR7qLguacpP3Bv/DU11D77DxrPv0ihTES6vUzmmK2w5pgx5lfApdkpR0S6g9DDDxA58xRi2+9I9dv/JbbnXl6XJCKSEzIZytzMGHMRcBdwOzAC+D6rVYlIlxV68D7Cl1xAy4EHU/fAY1BQ4HVJIiI5I5Mes4OBaYAFWoDtgBOzWJOIdFGhB/7mhrKDDqHuwUkKZSIiP7PaHjNjzIg2L2uA54ElwE7AOcAR2S1NRLqSwvvuoeSyi2k5+FDq7n8E8vO9LklEJOesaSjzKdxesp/fLXgksEnWKhKRLqfw3rsoueLPtBwyirr7Hoa8PK9LEhHJSWsKZtdaa+9d1QFjzNgs1SMiXUlTEyWXXEDhk5NoOfQw6iY+pFAmIrIGqw1m6VBmjAkBQWttvTFmE2AL3N40EZHV8s+ZTWTcWPK+/D8azruQxgv/rOUwRETWIpOrMp8E3jLGPAdMBd4HRgGnZLMwEenEJk+m/JhjIJGkdtLTtB54sNcViYh0CplclTk91Xt2DPCktfZwoCG7ZYlIp5RIUHTbTXDwwST79qf6zXcVykRE1kEmPWbFxhgfMAY4I7Xv5xcEiEg355/3E+GzTiV/yn/huOOovvZWKC72uiwRkU4lkx6zKtzlMmqttZ8aYy4EhmXvDpTtAAAgAElEQVS3LBHpTPJffpHyvXcj7/8+p+6Oe2HSJIUyEZH1sNZgZq29AhgKHJDaNQnNLxMRwFcfpeScMyk9+QQSG2/M0rf/S8vRx4FPneoiIutjrUOZxpjBqc2wMSa9+yrgpGwVJSK5zf/TXAqef4bCxx7G/9NcGs69gMYLLtFSGCIiG2hNK/9/h9tL9hXuiv9t/xe4HAUzkW7FF60j/5WXCT37d/I+eB+f4xDbeTjRuyYS23V3r8sTEekS1tRjtru1dokx5npr7U1tD6Ruai4i3UEiQeEDf6P4hmvxNTYQ32gYjRdeQvORo0kO3cjr6kREupQ1LTC7JLW5izHmZGvtA22O3bSaLxORLiTwvSV8zpnkffoJLfsdQON5fyK+406aQyYikiWZLJcxDHgo24WISA6JxSi663aKbrsJp7iYunvup+WIoxTIRESyLJPlMt4FerXdYYy5NivViIjngp9/StmBIym+4RpaDjqEpe9/QsuRoxXKREQ6QCY9ZjsA3xtjvgFacC8C2AS4LJuFiUjH8tXWUHz91YQeeZBkRW9qH3qc1kNHeV2WiEi3kkkwKwIO+9m+c7JQi4h4wXEoeP4ZSq64FN+SKppOPo3Giy7FiZR6XZmISLeTSTA7ylo7s+0OY8zXWapHRDqK45A39QOKbruJ/Pf/Q2yHHal/6jni22zndWUiIt1WJiv/zwQwxrzVZt+S1X+FiOQyX10toQf+RvmIXSj7za8IfvUF0ZsnUPPqvxTKREQ8lkmPWdqQrFUhIlnnX7iAoltuJPT80/gaG4ltvwN1f72HlsMOh6Iir8sTERHWLZgtzFoVIpJVwY8+JDJ+LP66WpoP/x3NJ44nvt0OXpclIiI/k8m9Modaa2dZa0ekXu8J1Flrv9jQDzfGXAb80Vrbq82+McD2QAKYYa2duKGfI9JtOQ6hhx+g5LKLSAweQvVzL5PYfAuvqxIRkdXIZB2z8372+ifg8g39YGPM3rj33Gy7byBwAXCBtfZPwMnGmE039LNEuqXmZkr+eBbhi8+ndeS+1Ex+R6FMRCTHrekm5senNjdvsw0QAHpuyIcaY/oARwM3Aie0OXQg8Km11km9ngocDPywIZ8n0t34f5pLZPxY8j7/jIbzL6LxwkvAn8n/h4mIiJfWNJQ5MvU8sM02QDNww9re2BgzGeizikOX466LdgHw84WSegPRNq/rUvtEJEMFzz9DyUXnQzJJ7aNP0XrwIV6XJCIiGfI5jrPGE4wxB1trX2+vDzTG/BI4GZiFO5T5e+Aa4HlgBLCbtXZ86tw7gOnW2jvW9J7xeMIJBgPtVaJI51RdDWedBU89BbvtBpMmwbBhXlclIiIrW+097tYazFbFGHOFtfaqDSrJfZ+hwP+mJ/+n5pi9AmxvrXWMMZ8Ax1pr1ziUWVkZXfdvYj1UVISprIyu/UTpMGoTV95/3yP8+9PwL15E44WX0Hj2uRBcl4uu25faJfeoTXKT2iX3dESbVFSEVxvMMrkqc3fgfmBT3IsFfIADbFAwM8ZsApwOFKauzpxgrf3JGHMrMMEYkwAeWFsoE+nOfIsXU3zz9YQmPUxi2MbUvPoW8e139LosERFZT5n8L/UZuEOMl1przzXGDAbO3NAPttZOJ3UF5s/2Pw48vqHvL9KlNTZSNPFuCu+YgK+lmaZTTqfhksuhuNjrykREZANkcpnWHGttVfpca+0c3Bubi0hHSyQo+PsT9Nh1B4pvuIbY3vtQ/d+Pabj2JoUyEZEuIJMeM5Oa+xU0xpwLLAF2y25ZItKWb9EiQk8/QeGkRwjMnkVs+x2ITnyI2HD9KoqIdCWZBLM7gf7A9cCDQA/g4mwWJSJAMknee+9S+NjD5L/xKr54nNbd96T+8qtpPWSU1iUTEemC1hrMrLXvAhhjeltrD8p6RSJC3n/eoeTyPxOc9g3JHj1oOuUMmseeSGIT3QhDRKQrW5fr6f8LbJatQkQEAjN+oPjKyyiY/DqJwUOou2siLaN+C6GQ16WJiEgHWJdgtto1N0Rkw/hqqim67SYKH7wPJ1RI/WVX0XTqGQpkIiLdzLoEs5eyVoVIN5b34RTCp56Ef9FCmsecQMNFl+H01p3IRES6o4yCmTEmAjxijPEBBdba5uyWJdINJJMU3vVXim+4msTgIdS8+S7xbbf3uioREfHQWi/rMsYcDHwP/A0oAF43xhyQ7cJEujLf0iVExhxFybVX0HLIKGr+9Z5CmYiIZLTA7DHAJsDXqZ6yfYEjs1qVSBeW9+EUyvfdk/z33iV6w61E738EJxzxuiwREckBmQSzudba+vQLa20SaMheSSJdU96HUyg96jeUjToIAkFqXnmT5vGngk/X1YiIiCuTOWb9jTG7AQFjTAVwADAou2WJdBGOQ95/3qFowi3kT/2AZK8K6v9yNc0njccpCXtdnYiI5JhMgtkVuDcV3wMYD3wAHJ/NokS6guCnn1Dyl0vI+9+PSfTrT/11N9F03AlQpFvNiojIqmWy8v8cYIQxpiT1un4tXyLSrfkXLaT42isJPf0kid59iN48geZjxkBBgdeliYhIjst4HbO2gcwYc6O1VvfLFGmrpYXCiXdTNOFWfLFWGs8+l8ZzL9CQpYiIZGytwcwYkwScNrt8qdcKZiIp+W++TsllFxOY9SMtB/2K+iuvIzlsY6/LEhGRTiaTqzIvtdYGrLUB3HXMdgFOzGpVIp1EYOZ0IsceSemY0Th5edQ8/SJ1j/1doUxERNbLWoOZtfaGNttxa+0nwPCsViWS6+rrKb72SspHDCfvw6nUX3U91e9OJTZyX68rExGRTiyToczL27z0A/2AzbNWkUgO89XWEHr0YQrvu4fA4kU0jz6W+suuwunTx+vSRESkC8hk8v8hwGup7STwKXBJ1ioSyUH+uXMovO8eQo8/hr+hntYRI6l7+HHiO+3idWkiItKFZBLMzrHWfth2hzFG1/1Lt+CfP4/iqy+n4B8vgM9Hy2+OoPGMs0lsvY3XpYmISBe02mBmjBmc2pzfZjvtKuCkrFUl4rVEgtDD91N83dX4kgmaTjuLplNOJzlgoNeViYhIF7amHrOvgSrc5TF+rhwFM+miAt98Tfj8s8n77FNaR+5L9OYJJIcM9bosERHpBtYUzG621l67qgPGGM0xky7HP+8nCh+8j8K/3YVTVkbdvQ/QcvjvdJNxERHpMKsNZqsLZSmfZ6EWkQ7nX7iAgpdfpOClF8j7348BaDpmDA1XXIPTo6fH1YmISHeTyXIZRcDvgU2BQGr3LsAbWaxLJGt8tTUUvPwSBc89Td6HU/A5DvGttqbhz5fTPOq3WhxWREQ8k8lVmXcC04DBwJOp517ZLEqk3cVi5L/7bwqe+TsFb7yKr6WF+Kab0XjhJbQcdjiJTTfzukIREZGMglmVtfZWY8xAa+2jAMaYm7Jcl0i78M+fR+iRByl8/FH8VZUke/SgaeyJtBx1DPFtt9f8MRERySmZBLNw6rnUGFMB1AE7Za8kkQ3kOOR9NJXQAxMpePVlcBxaDziI5mOPp3Wf/SA/3+sKRUREVimTYBY0xvwOeAaYBTjAfdksSmR9+OqjFLzwHKFHHiTv6y9JlpXRdPrvaTrpZJKDh3hdnoiIyFplEsy2BO601n5ljDFAqbX2myzXJZIZxyH4f58RmvQIoeefxdfYQHyLrYjedgfNRxwFRUVeVygiIpKxTILZdOBgY8zFwH+Ap7Jbksja+WfOoOD1V+Hl5yn//HOcwkKaf3MEzWNPJL7jTpo7JiIindJag5m19sT0tjFmBPBPY8yP1tr1XvnfGHMlsHebXddZa99KHbsQiODeXeBNa+3L6/s50oWkesbyX3+VgjdeJfjdNHf/9tsTvfE2Wo48CidS6m2NIiIiGyiTdcx+B7wFHAeMB0qA1zf0g621e6/is3YBRlprf2WMyQO+Nca8Z62t2dDPk84p8N00Qs8/Q8ELzxKYOwfH7ye26+7UX3sjLQf+ip6/3JrmyqjXZYqIiLSLTIYybwcKgFeAP1pr32uPDzbGXAq04C5ae6e1thE4FJgKYK2NGWOmASMA9Zp1I76qKkJPP0nB88+Q9/WXbhgbsTcNF15C6wEHaUV+ERHpsjIJZp8CY6y1devyxsaYyUCfVRy6HHgWmGWtbTDGnIm7iO14oDfuYrZpdal9a1ReXkQwGFjbae2ioiK89pNk/TgOTJoE554LS5fCzjvDX/+Kb/Ro8vv0YXWLXKhNcpPaJfeoTXKT2iX3eNkmmQSz31prE+v6xtbaAzM89W3gwtT2YpavmwbuXLPFa3uD6urGdStuPVVUhKnUsFlW+OfMJnzBOeS/+zaxnYcTvXkCiS23Wn7Can7uapPcpHbJPWqT3KR2yT0d0SZrCn7+tX3x+oSytTHG3NLm5aa4V36CO1y6a+qcIO5SHe0ydCo5KpGg8L576DFiOMFPPiZ6w63UvPzGiqFMRESkm8ikxywb4saYv+L2hm0NnAVgrf3IGPOOMeZ63Ksyz9PE/y4qFqPgpecpuuuvBKd9Q8t+B1B/8wSSAwd5XZmIiIhnPAlm1tpL1nDsltUdky6gvp7CJx+j8G93E/hpLvHNt6DuvodpOexwrT0mIiLdnlc9ZtLN+Gf9SOETjxF69EH8NTW0Dt+N+ptuo3XfA8C/1hF1ERGRbkHBTLKnpYWC118hNOlR8t9/F8fvp/XAX9H4+3OI77SL19WJiIjkHAUzaXeBGT8QeuwRQk8/gX/pUhKDBtNw8WU0H30cyf4DvC5PREQkZymYSfuIxch/41UKH3nI7R0LBmk9+FCaxpxAbK+RGq4UERHJgIKZbJiGBor+dhehhx8gsHgRiYGDaLjkLzQdezxOn1WtLywiIiKro2Am68dxKHjpeYqv+guB+fNo2Xd/6k862Z3MH+iYuzCIiIh0NQpmss6CX31B8aUXkf/hFGJbb0vd3x4iPnxXr8sSERHp9BTMJGP+H2dSdOcEQk88htOjB9Hb7qD52LHqIRMREWknCmayVsEvPqfwrr9S8M+XIBCg6eTTaLzwEpyycq9LExER6VIUzGS18t7/D0W330b++++SDEdoOvMPNJ16Bsm+/bwuTUREpEtSMJOVNTRQcvklFE56hESfvtT/5WqaTzgJJ1LqdWUiIiJdmoKZrCDw1ZdETh9HYPoPNJ59Lg1/+jMUFHhdloiISLegYCauZJLC++6h+NorSfboSe2z/yA2Ym+vqxIREelWFMwEX10tkVNPIv/tf9Fy0K+ITrgbp2dPr8sSERHpdhTMujnfkiWUHn04wW++InrT/9B84njw+bwuS0REpFtSMOvG/IsWUvq7wwj8OJO6R5+kdf+DvC5JRESkW1Mw66b8c+dQeuQoAosWUfvU88T2GOF1SSIiIt2eglk3FJg5ndIjRuGLRql59iXiO+3idUkiIiIC+L0uQDpW8PNPKfv1Qfiam6h98RWFMhERkRyiYNaNFDz/DGWHHYwTClHzjzeIb72t1yWJiIhIGwpm3UEiQfE1VxA542Ri2+9I9eR3SWxmvK5KREREfkZzzLo4X10t4TNOpuCtyTQdP47662+G/HyvyxIREZFVUDDrwgL2OyLjxxKYOcNdo+ykk70uSURERNZAQ5ldkeMQenAi5fuPwL90CbXPvKRQJiIi0gmox6yL8S1aROScM9zbK+13ANHb78Hp3dvrskRERCQDCmZdSP4brxE+9yx8DQ1Eb7iV5nGn6PZKIiIinYiGMruI0EP3U3r80ST6DaD6rfdoHn+qQpmIiEgnox6zLiDvvXcpufRPtBxwEHUPToKCAq9LEhERkfWgHrNOzv/jTCInH09i082I3vuAQpmIiEgnpmDWifmidZSOHQ0+H7WPPoUTjnhdkoiIiGwADWV2VokE4dPHE5gxndpnXiK50TCvKxIREZEN5FkwM8bkA+cDDcCWwBJr7aXGGD9wPVAPDAEetNZ+6FWduar4+qspeGsy0RtuJbbnXl6XIyIiIu3Ayx6zi4D/WGvfAzDGbJPafxQQsdZebIzpAXxojNnCWpvwqtCckkxSeOcEiu6cQNPx49wlMURERKRL8DKYHQvMMcbsAPQE7kztPwR4E8Bau9QY0wxsBXzpSZU5xFdZSeT3p5L/zr9pHvVb976XWhJDRESky8hqMDPGTAb6rOLQ5cBQwLHW3m6M2Q94Btgb6A1E25xbl9rXreV98D7h08fjr6kmevMEmk8Yp1AmIiLSxWQ1mFlrD1zdMWNMHfBR6uV/gT2NMQFgMRBuc2oktW+1ysuLCAYDG1htZioqwms/qT0lEnDttXD11bDppjD5DcLbbksHV5HTOrxNJCNql9yjNslNapfc42WbeDmU+W9gGGBxJ/nPsNYmjDGvAiOASak5ZiHgmzW9UXV1Y7ZrBdyGqqyMrv3EduKrqyVy6knkv/0vmkcfS/SGW6GkBDqwhlzX0W0imVG75B61SW5Su+SejmiTNQU/L4PZhcBVxpjtgC2AMan9zwDbG2OuAAYDx3fHif/+WT9SOnY0gRnTid52B81jT/S6JBEREckyz4KZtXYecPIq9idxr9jstoIfTqX0pGMhkaD2mZeI7THC65JERESkA2jl/xxT8PSTlB35a5Jl5dS88bZCmYiISDeiYJZDCu+5k8jZpxPbZVdqXv83iWGbeF2SiIiIdCAFsxyR9/ZbFF91Gc2jfkvt31/AKSv3uiQRERHpYApmOcA/60cip48nscVWRO+4F/LyvC5JREREPKBg5rWGBkpPPA6A2keegKIijwsSERERr3i5XIY4DuHzzyYw7Rtqn3qO5NCNvK5IREREPKQeMw8VTryb0AvP0XjJX4jts7/X5YiIiIjHFMw8kvfB+xRf9RdaDhlF4znne12OiIiI5AAFMw8EZk4nMm4MiY03IXrnvboZuYiIiAAKZh3Ot3QJkWN/B34/tY8/g1Oim9eKiIiIS5P/O1JLC5GTxhCY9xM1z7+iyf4iIiKyAgWzjuI4hM87m/ypH1A38SHiO+/idUUiIiKSYzSU2UGKJtxC6Nm/03DxZbT89kivyxEREZEcpGDWAQpefI7iG6+l+ahjaDz3Qq/LERERkRylYJZlwU8+IvyHM2jddXeit92hKzBFRERktRTMssg/ZzalJxxDov8A6h5+HAoKvC5JREREcpiCWZb46mopHXMUxOLUPfEsTo+eXpckIiIiOU5XZWZDPE7klBMJTP+B2qdfJLHJpl5XJCIiIp2AglkWlFx2Efnv/Jvo/9xJbM+9vC5HREREOgkNZbaz0EP3U/jQ/TSe+Qeax5zgdTkiIiLSiSiYtaemJopvuIbWvfeh4S9XeV2NiIiIdDIKZu2o4J8v4a+tofEP50Eg4HU5IiIi0skomLWj0OOPEt9oGLHd9/S6FBEREemEFMzaSeCH78n/cArNY07UIrIiIiKyXhTM2klo0iM4wSDNo4/1uhQRERHppBTM2kNLC6FnnqT1oENwevf2uhoRERHppBTM2kHBa//Ev3QpTWNP9LoUERER6cQUzNpB6PFHSQweQmyvkV6XIiIiIp2YgtkG8s+cQf77/6H52LHg149TRERE1p+SxAYqfOIxnECA5mPGeF2KiIiIdHIKZhsiFiP09ydo3f9Akv36e12NiIiIdHIKZhsgf/Lr+CsX656YIiIi0i6CXnyoMeZVoLjNrm2A/tbaZmPMhUAEKAfetNa+7EWNmQg98SiJ/gNo3Wd/r0sRERGRLsCrHrPHrLV7W2v3BsYBz6ZC2S7ASGvtX4BzgduMMWUe1bhmjkPeJx/TesBBEPQk34qIiEgX40kws9Y+3eblH4A7U9uHAlNT58SAacCIjq0uM76aavx1tSQ22tjrUkRERKSLyFpXjzFmMtBnFYcuTw9PGmMiwGBr7depY71xw1haXWrfGpWXFxEMBjaw4sxUVITdjdkWgJJtt6QkvU88UaGff05Su+QetUluUrvkHi/bJGvBzFp7YAanjQceavN6MdD2pxFJ7Vuj6urGdStuPVVUhKmsjAJQ8H/fEAGWlvUhkdonHa9tm0juULvkHrVJblK75J6OaJM1BT/Prso0xviBA4FX2+x+Bdg1dTwIbAm81/HVrZ1/1o8AJAYP8bgSERER6Sq8XC5jFPCKtdZJ77DWfgS8Y4y5Hnfe2XnW2hqvClyTwOxZJCt6Q0mJ16WIiIhIF+HZ5YTW2pdWs/+Wjq5lfQRmzyIxZKjXZYiIiEgXogVm11Ng1o8KZiIiItKuFMzWR2sr/nk/kRi6kdeViIiISBeiYLYe/D/NxZdMqsdMRERE2pWC2XoIpK7ITKrHTERERNqRgtl6CMyeBaAeMxEREWlXCmbrITB7Fk4oRLJPX69LERERkS5EwWw9BGb96C4s69ePT0RERNqPksV60BpmIiIikg0KZuvKcfDPnqWlMkRERKTdKZitI9+SJfjroyTVYyYiIiLtTMFsHQVmp25ePkQ9ZiIiItK+FMzW0bKlMjSUKSIiIu1MwWwdpReXTQwa7HElIiIi0tUEvS6gs/HPnkWiT18oKvK6FBEREVlHVVVVPPXUJMLhMIlEgjlzZtOvX39GjNibe+65A5/PYbvtfsnSpUuora3liiuupbW1hQcemMizzz7FrbfewfDhuy17v5kzZ3DiiccwatThnHzy6ZSVlW1QfQpm6ygwe5Ym/ouIiHRCra2tXHzxeVx33c30SS0SH4vFuOqqS9lyy1+w/fY74vMlGDfuNADOPvs0PvpoCnvssRdHHXUMX3/9BQ8+OHGFYPbqq/+gvLycww8/coNDGSiYrbPArB+J7THC6zJEREQ6taefDvLUU3nt+p7HHBNj9Oj4ao9PmfI+ffv2WxbKAPLy8rj22ptXOjeZTFJXV0tZWfmyfcOH786HH37AlCn/Zbfd9mDGjOkMGjSEvLz8dvseNMdsXTQ3418wX4vLioiIdELz58+jZ8+ey14vXLiASZMe4U9/OpcFC+YD8OWXXzJp0iNceeWlbLLJphizxQrvMW7caTz44EQAXnnlHxxyyKh2rVE9Zuti9mx8jqNgJiIisoFGj46vsXcrGwYMGMi333697HXfvv0YO/ZEjjzy1zQ1NQKwzTbbMHbsiQBMmvQwd9/9V/74xwuWfc2uu+7OI488wEMP3cfQoRuRl9e+vX7qMVsXM2YAkBg6zONCREREZF3tuuseLFiwYFnvWFoymVzl+T179qKqqnKl/ePHn8brr7/a7r1loB6zdTNzJoB6zERERDqh/Px8brppAk888SjhcJhkMslPP83l4IMPpba2li+++BxI8uijD5JIJJg5czrjx59OPB7n+eef4fvvv+O7775l552H8+yz/wDc4cz6+npefvlFTj31TIqKijeoRp/jOO3wrXqrsjLaId9ExQ1X4EycSNWPC8Dn64iPlLWoqAhTWRn1ugz5GbVL7lGb5Ca1S+7piDapqAivNkRoKHNdzJjh9pYplImIiEgWKJiti5kzNYwpIiIiWaNglinHUTATERGRrFIwy5CvshIaGxXMREREJGsUzDKUvnl5cuhGHlciIiIiXZWCWYYCs91glhiiYCYiIiLZoXXMMhSYPQt8PhKDBntdioiIiKyHTz/9hOee+ztz587hsMOO4LPPPmHu3DmMHLkfiUSC+voof/zj2fj9RZ7VqGCWocCsH2HAAAiFvC5FRERE1sOOO+7EokULmTLlfX73u6MpLi5mypT3GT/+NAB++OF7xowZw333PUZJSYknNSqYZSgwexYM062YRERE2kPB008Seurxdn3P5mPG0DL62PX++k033Yxf/OIX/Otfb/Cb3xzZjpVlTnPMMuT/aa6CmYiISBfXv39/Fi1a5Nnnq8csQw0XXUpkr928LkNERKRLaBl97Ab1bmXL/Pnz2XLLbTz7fE+CmTFmR+Bi4H+BXYBbrLVTU8cuBCJAOfCmtfZlL2r8uZajj4OKMOieZiIiIl3SzJnT+eqrrzj77As9q8GrHrNrgfustS8aY34LXA3sb4zZBRhprf2VMSYP+NYY8561tsajOkVERKTL8fHTT3P54IP3mDNnNo888gDxeJza2loef/xxAoFizyrzKpgtAipS2xXAp6ntQ4GpANbamDFmGjACyIleMxEREemcPvnkI3baaRfq66P07NmTgQMHcd11t6x0XkVFmEoPR8eyFsyMMZOBPqs4dDlwGfB3Y8xmwK7AH1LHegPT2pxbl9q3RuXlRQSDgQ0rOEMVFeEO+RzJnNokN6ldco/aJDepXTrGq6++yLRpXzB9+nQuuOCCNf7cvWyTrAUza+2BqztmjPkMOMtaO9UYszXwL2NMX2Ax0PanEUntW6Pq6sYNLTcjXqdoWZnaJDepXXKP2iQ3qV06zpVX3rjC69X93DuiTdYU/LxaLmMQsCC1vQAoSG2/gtuDhjEmCGwJvNfh1YmIiIh4wKs5ZqcCNxhjvsQNXydZax3gI2PMO8aY63GvyjxPE/9FRESku/AkmFlrXwReXM2xlWfiiYiIiHQDWvlfREREJEcomImIiIjkCAUzERERkRyhYCYiIiKSIxTMRERERHKEz3Ecr2sQEREREdRjJiIiIpIzFMxEREREcoSCmYiIiEiOUDATERERyREKZiIiIiI5QsFMREREJEd4chPzzsYYsx9wOLAYcKy1V3lcUrdnjNkYuBb4DBgILLHWXu1tVQJgjCkEPgLetNZe4HU9AsYYAxwDNAF7AVdaaz/2tqruzRhzITAUqAI2BcZba5s8LaobMsb0xf1bsq21dqfUvhBwK/D/7d1rjF1VGcbx/xSkQAGhIMUgUi/hAZGLIkopoFDlVkUIEomCNkVDCZS2lHIvxRJKVYrVcJNw+4AgFBUMCGoUDdIKQsAAhodQARELNFRLBcvN+mGt0dPhdGZK6ewT5/klTWfvtfda7zknc/Y7a6291zOUz2a27ccGKqb0mPVB0obAZcAU2+cAO0sa02xUATcOdfoAAAetSURBVAwHfmj727YnAUdK2q3poAIoX3IPNB1EFJLWAS4EZtr+JnAM8ESzUQ1uNRk4HZhoewYwjPLHfwy8vYBbgK6WfZOBv9g+H/gOcOVABpTErG+jgKdsv1K37wbGNhhPALb/YPuWll1DgJeaiicKSUdTfkdy4e8cu1MuOhMlnQ58jtJLE815GXgV2KRubwQ80lw4g5ftm4BlPXaPBRbU8oeAXSRt0vPctSWJWd+2ZOUP7cW6LzqEpMOAn9t+tOlYBjNJHwJ2sP3jpmOJlWxL+QPzmtoDsA/w1WZDGtxsvwhMA26QdA3wV+DxRoOKVo1e95OY9e15YOOW7U3qvugAkvYF9gWmNB1LcBiwXNJplOGBj0ua3HBMUS4qj9peWrd/B3yquXBC0q6UxGys7XGUHsyzGw0qWjV63U9i1rcFwLaShtbt0cBtDcYTlaSxwAHAJGArSaMaDmlQs32e7Zm2Z1Mu/vfantt0XME9wOZ1rhmUHrQBm8gcbW0NLLH9et1eBKzfYDyxstsovcxI2gn4Y+3lHBBZxLwfJH0G+AKwGHgtd2U2r070/y1wX901DLjY9jWNBRUASDocOB5Yj/KZXN9wSINeHe7fj/Id9l7KpPPcAdiQmiR/D1gO/AP4MDDZ9qJGAxuEJH0S+ApwIHApMKcWXUBJmD8IzBrIuzKTmEVERER0iAxlRkRERHSIJGYRERERHSKJWURERESHSGIWERER0SGSmEVERER0iCRmERERER1i3aYDiIhmSVqX8pDemcBurUtbSdoUuAxYCrwHmGH7vr7KmiTpfMoDPIcCPwPOBGR7RY/jLgSm2O56cy0DQ9J04BRgJ9tPvo31DgMuB0bbHtmmfBxlEe07a/vLgauApymf5Xjbr0naDLgJOKD7YaiSvkRZS7Bt3RGxZtJjFhHjKStcbNim7Dxgge1jKRfw6yR19aOsSSdTXtOXgXnA/j2TMgDbJw10YG1iOBd4YS3U+xIlIe3NAtsT6hPNDwQW2z6dsjzQQfWY2cD0lifUY/u6ftQdEW9ReswiBjnblwNIald8FLB7Pe4RSesBe1ASud7K+k3SJGBXYAmwIzC11vdF4BDgb8BWwEm2F0u6Gfg8cCJlfc4NgYNtL5H0Lcr32lzKyhAfAM6QtLPtJyXtA8yiLBj9YI84dgFOqu2NBObavkfSZZRFv79BWZf13cBhthdKGkJJUDcFXqU8JfwY289KOhHYDvhXLZ9i+599vBfb1nYWAdsA1wH3AzfW9+AEYD4l4RxSX/8eNb5FNe4Zb+Ep5cuALerPw4GlkkYD/7Y9fzXriog1kB6ziGhL0nDevHjvc8D7eitbzTY+TVkOZbztqcBPgfdL2oGyNMp429Moa29eDGD70Hr6w7b3A/4MHFHLTqn/n2B7Xl23c0ltaz3gemBSXTj64ZY43gH8CDir9hpNB26U1GV7Qn1tz9k+ALgV+Fo99Rhge9vH2Z5U69xS0hjgkBrHtHr+Kf14S64FrqgxHAdcDbwCfB3YCPh17Q17HDiakpReDRxfz7kSuKIf7azE9p3AY5IuoqyjOZ+SIF4i6dL6b+vVrTciVl96zCJiVbqHJXsOA67oo2wlku6i9DI9ZXtMj+KDKENqKwBsX1LPmQg8aPuVetzdlLXrWnX35CwERvT5amB74J2276/bd7WGSZmXdmZLz+FiSu9R91Bja3uj688H1tio8Z9a478A2KL2tkHpjep1HURJGwN7AeMkHdXS1ja2H5K0EDhY0q+AYbX38LOU5GxOjXsosE6b6vtUh1W7YzmNkuRN53/v+xzgyLdSd0T0XxKziGjL9guSllGSnqV19whKgrXKsjb17N1HU6tasLd1/5vmrrUkbW/Qv97/rl7a6qp1TujeUSfQv9xyzKraa1dnFyXhPK7W1UX7OXztnGn7uXreBpQhUiiJ0nhKsjivpZ0XesS9UT/baUvSSOATtmdLOht4oLazy5rUGxH9k6HMiOjNtdSJ4JJ2BF4Hft+Psv66HRjdfdOApGMlHQz8EviIpKH1uD3rsWviUeBFSR+r23v1KHtW0t41jg2A29vdNNAm/v/WI2mmpJ3r/n3rHa8AhwKTe6vI9jJK79v+ta4htZ7u92AesDdl2PYXdd98ytDpyHrOCOCGPmLuyxzKDRQAz1Dmto2g3LEZEWtZ14oVfX3vRMT/M0mjKHcwHg/8ALjJ9s21bDjlkRh/p0xGP8f2vX2VrWb7k4GPUuaCrQBOtv2GpCMpCc0i4F2UyfOLJZ0LnEUZZruV8lgIgInA4cA0yny079btM4CfABMoNyvMAv4EPFF/vtD2VEm7Uh4ZspAyWf9i2/dJmkKZb3VjLb+KMuw5FbiDMvl/c0qP2vPdQ4L1de1JSWjWp9zUsLzHaz8DOK0lvq0oidHTwLD6WdzRcvz3gWdtz2jZN4byuJPHgc2Acylz2i6h3Bwwq861a213HPCpOteudf8RwHa2z6vboyhz3QAuavnsRwK/yeMyIt5+ScwiIgaZVSVmq3H+SJKYRawVGcqMiBh8FgObS5pbbzrot9qrdipl7llEvM3SYxYRERHRIdJjFhEREdEhkphFREREdIgkZhEREREdIolZRERERIdIYhYRERHRIf4Db96db0y0LgsAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(percs, gbm_var, 'b', lw=1.5, label='GBM')\n", + "plt.plot(percs, jd_var, 'r', lw=1.5, label='JD')\n", + "plt.legend(loc=4)\n", + "plt.xlabel('100 - confidence level [%]')\n", + "plt.ylabel('value-at-risk')\n", + "plt.ylim(ymax=0.0);\n", + "# plt.savefig('../../images/ch12/stoch_20.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Credit Value Adjustments" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [], + "source": [ + "S0 = 100.\n", + "r = 0.05\n", + "sigma = 0.2\n", + "T = 1.\n", + "I = 100000" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "uuid": "92795f2e-84b4-4881-960f-91a39eb1cc77" + }, + "outputs": [], + "source": [ + "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n", + " + sigma * np.sqrt(T) * npr.standard_normal(I))" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "uuid": "3e3c6a61-c268-44f4-bce9-f3c2f83faac9" + }, + "outputs": [], + "source": [ + "L = 0.5 " + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "uuid": "f06f2c7d-8c1a-4cc3-b171-dad76994c6b9" + }, + "outputs": [], + "source": [ + "p = 0.01 " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "D = npr.poisson(p * T, I) " + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "uuid": "38b71c82-76a1-4299-992f-93820cbf2677" + }, + "outputs": [], + "source": [ + "D = np.where(D > 1, 1, D) " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "uuid": "46418aea-2253-4f09-840a-1c45676bda2c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "99.94767178982691" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "math.exp(-r * T) * np.mean(ST) " + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "uuid": "fe7436d3-4eb4-40f4-9d4c-c5efa0e3d3a0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4883560258963962" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "CVaR = math.exp(-r * T) * np.mean(L * D * ST) \n", + "CVaR " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "uuid": "3070c8f6-8a77-4373-b423-f6871170dbaf" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "99.45931576393053" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * ST) \n", + "S0_CVA " + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "uuid": "d7d14139-b76d-4c11-a57b-930db11abd3c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "99.5116439741036" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S0_adj = S0 - CVaR \n", + "S0_adj " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "uuid": "c6995617-5021-4d8f-9f94-8fca0571ff89" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "978" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.count_nonzero(L * D * ST) " + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "uuid": "fc6e6717-9ffc-486c-a736-3892c277f3e6" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(L * D * ST, bins=50)\n", + "plt.xlabel('loss')\n", + "plt.ylabel('frequency')\n", + "plt.ylim(ymax=175);\n", + "# plt.savefig('../../images/ch12/stoch_21.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [], + "source": [ + "K = 100.\n", + "hT = np.maximum(ST - K, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "uuid": "59b7c831-c915-4c06-a23b-0ac913220d76" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10.396916492839354" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C0 = math.exp(-r * T) * np.mean(hT) \n", + "C0 " + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "uuid": "da0198e3-10bc-4324-8e0e-b09c2e61e94d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.05159099858923533" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "CVaR = math.exp(-r * T) * np.mean(L * D * hT) \n", + "CVaR " + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "uuid": "24d26328-f3f2-4da4-8d5c-7fb06a70eec8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10.34532549425012" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * hT) \n", + "C0_CVA " + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "uuid": "a221dbb8-eec3-45e1-abd7-146050c0285f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "538" + ] + }, + "execution_count": 115, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.count_nonzero(L * D * hT) " + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "uuid": "e1becbb6-7a1e-49bb-8a8e-b7daab189c6e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "978" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.count_nonzero(D) " + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "uuid": "44c3d031-8002-4bba-abd7-0db5451b2d52" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "44123" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "I - np.count_nonzero(hT) " + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "uuid": "b132d24e-093b-45e6-a4cc-29b8ef006038" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(L * D * hT, bins=50)\n", + "plt.xlabel('loss')\n", + "plt.ylabel('frequency')\n", + "plt.ylim(ymax=350);\n", + "# plt.savefig('../../images/ch12/stoch_22.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch12/bsm_functions.py b/code/ch12/bsm_functions.py new file mode 100644 index 0000000..f278388 --- /dev/null +++ b/code/ch12/bsm_functions.py @@ -0,0 +1,107 @@ +# +# Valuation of European call options +# in Black-Scholes-Merton model +# incl. Vega function and implied volatility estimation +# bsm_functions.py +# +# (c) Dr. Yves J. Hilpisch +# Python for Finance, 2nd ed. +# + + +def bsm_call_value(S0, K, T, r, sigma): + ''' Valuation of European call option in BSM model. + Analytical formula. + + Parameters + ========== + S0: float + initial stock/index level + K: float + strike price + T: float + maturity date (in year fractions) + r: float + constant risk-free short rate + sigma: float + volatility factor in diffusion term + + Returns + ======= + value: float + present value of the European call option + ''' + from math import log, sqrt, exp + from scipy import stats + + S0 = float(S0) + d1 = (log(S0 / K) + (r + 0.5 * sigma ** 2) * T) / (sigma * sqrt(T)) + d2 = (log(S0 / K) + (r - 0.5 * sigma ** 2) * T) / (sigma * sqrt(T)) + # stats.norm.cdf --> cumulative distribution function + # for normal distribution + value = (S0 * stats.norm.cdf(d1, 0.0, 1.0) - + K * exp(-r * T) * stats.norm.cdf(d2, 0.0, 1.0)) + return value + + +def bsm_vega(S0, K, T, r, sigma): + ''' Vega of European option in BSM model. + + Parameters + ========== + S0: float + initial stock/index level + K: float + strike price + T: float + maturity date (in year fractions) + r: float + constant risk-free short rate + sigma: float + volatility factor in diffusion term + + Returns + ======= + vega: float + partial derivative of BSM formula with respect + to sigma, i.e. Vega + + ''' + from math import log, sqrt + from scipy import stats + + S0 = float(S0) + d1 = (log(S0 / K) + (r + 0.5 * sigma ** 2) * T) / (sigma * sqrt(T)) + vega = S0 * stats.norm.pdf(d1, 0.0, 1.0) * sqrt(T) + return vega + +# Implied volatility function + + +def bsm_call_imp_vol(S0, K, T, r, C0, sigma_est, it=100): + ''' Implied volatility of European call option in BSM model. + + Parameters + ========== + S0: float + initial stock/index level + K: float + strike price + T: float + maturity date (in year fractions) + r: float + constant risk-free short rate + sigma_est: float + estimate of impl. volatility + it: integer + number of iterations + + Returns + ======= + simga_est: float + numerically estimated implied volatility + ''' + for i in range(it): + sigma_est -= ((bsm_call_value(S0, K, T, r, sigma_est) - C0) / + bsm_vega(S0, K, T, r, sigma_est)) + return sigma_est diff --git a/code/ch13/13_a_statistics.ipynb b/code/ch13/13_a_statistics.ipynb new file mode 100644 index 0000000..8af8de6 --- /dev/null +++ b/code/ch13/13_a_statistics.ipynb @@ -0,0 +1,2348 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Statistics (a)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Normality Tests" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Benchmark Case" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "b5c2a3e0-81d2-4aab-bee0-a9239fc9ffa6" + }, + "outputs": [], + "source": [ + "import math\n", + "import numpy as np\n", + "import scipy.stats as scs\n", + "import statsmodels.api as sm\n", + "from pylab import mpl, plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "596ccb67-e163-4f15-95e8-80362bdade98" + }, + "outputs": [], + "source": [ + "def gen_paths(S0, r, sigma, T, M, I):\n", + " ''' Generate Monte Carlo paths for geometric Brownian motion.\n", + " \n", + " Parameters\n", + " ==========\n", + " S0: float\n", + " initial stock/index value\n", + " r: float\n", + " constant short rate\n", + " sigma: float\n", + " constant volatility\n", + " T: float\n", + " final time horizon\n", + " M: int\n", + " number of time steps/intervals\n", + " I: int\n", + " number of paths to be simulated\n", + " \n", + " Returns\n", + " =======\n", + " paths: ndarray, shape (M + 1, I)\n", + " simulated paths given the parameters\n", + " '''\n", + " dt = T / M\n", + " paths = np.zeros((M + 1, I))\n", + " paths[0] = S0\n", + " for t in range(1, M + 1):\n", + " rand = np.random.standard_normal(I)\n", + " rand = (rand - rand.mean()) / rand.std() \n", + " paths[t] = paths[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt +\n", + " sigma * math.sqrt(dt) * rand) \n", + " return paths" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "7b6ba027-7f3c-43ee-a297-66599a4c9ac2" + }, + "outputs": [], + "source": [ + "S0 = 100. \n", + "r = 0.05 \n", + "sigma = 0.2 \n", + "T = 1.0 \n", + "M = 50 \n", + "I = 250000 \n", + "np.random.seed(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "abdf423c-dc32-4528-8781-12e05a6703cd" + }, + "outputs": [], + "source": [ + "paths = gen_paths(S0, r, sigma, T, M, I)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "105.12710963760242" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "S0 * math.exp(r * T) " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "105.12645392478755" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "paths[-1].mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "uuid": "133e6168-692d-4aa7-8b8d-81d21e1d21e9" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(paths[:, :10])\n", + "plt.xlabel('time steps')\n", + "plt.ylabel('index level');\n", + "# plt.savefig('../../images/ch13/stat_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "uuid": "4fe20e49-2c58-454c-a086-14c2f2901dba" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([100. , 97.821 , 98.5573, 106.1546, 105.899 , 99.8363,\n", + " 100.0145, 102.6589, 105.6643, 107.1107, 108.7943, 108.2449,\n", + " 106.4105, 101.0575, 102.0197, 102.6052, 109.6419, 109.5725,\n", + " 112.9766, 113.0225, 112.5476, 114.5585, 109.942 , 112.6271,\n", + " 112.7502, 116.3453, 115.0443, 113.9586, 115.8831, 117.3705,\n", + " 117.9185, 110.5539, 109.9687, 104.9957, 108.0679, 105.7822,\n", + " 105.1585, 104.3304, 108.4387, 105.5963, 108.866 , 108.3284,\n", + " 107.0077, 106.0034, 104.3964, 101.0637, 98.3776, 97.135 ,\n", + " 95.4254, 96.4271, 96.3386])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "paths[:, 0].round(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "c9a7ad7d-921d-4b03-a81e-bff7d6e60b8e" + }, + "outputs": [], + "source": [ + "log_returns = np.log(paths[1:] / paths[:-1]) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "cd6ee063-9463-405d-96bd-2ad1231d7e7f" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.022 , 0.0075, 0.0743, -0.0024, -0.059 , 0.0018, 0.0261,\n", + " 0.0289, 0.0136, 0.0156, -0.0051, -0.0171, -0.0516, 0.0095,\n", + " 0.0057, 0.0663, -0.0006, 0.0306, 0.0004, -0.0042, 0.0177,\n", + " -0.0411, 0.0241, 0.0011, 0.0314, -0.0112, -0.0095, 0.0167,\n", + " 0.0128, 0.0047, -0.0645, -0.0053, -0.0463, 0.0288, -0.0214,\n", + " -0.0059, -0.0079, 0.0386, -0.0266, 0.0305, -0.0049, -0.0123,\n", + " -0.0094, -0.0153, -0.0324, -0.0269, -0.0127, -0.0178, 0.0104,\n", + " -0.0009])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns[:, 0].round(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import warnings; warnings.simplefilter('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "77290ae6-4035-42a6-8312-ec89da50f88b" + }, + "outputs": [], + "source": [ + "def print_statistics(array):\n", + " ''' Prints selected statistics.\n", + " \n", + " Parameters\n", + " ==========\n", + " array: ndarray\n", + " object to generate statistics on\n", + " '''\n", + " sta = scs.describe(array)\n", + " print('%14s %15s' % ('statistic', 'value'))\n", + " print(30 * '-')\n", + " print('%14s %15.5f' % ('size', sta[0]))\n", + " print('%14s %15.5f' % ('min', sta[1][0]))\n", + " print('%14s %15.5f' % ('max', sta[1][1]))\n", + " print('%14s %15.5f' % ('mean', sta[2]))\n", + " print('%14s %15.5f' % ('std', np.sqrt(sta[3])))\n", + " print('%14s %15.5f' % ('skew', sta[4]))\n", + " print('%14s %15.5f' % ('kurtosis', sta[5]))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "57ac0ad6-14c7-4158-b67b-b553d662dc21" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic value\n", + "------------------------------\n", + " size 12500000.00000\n", + " min -0.15664\n", + " max 0.15371\n", + " mean 0.00060\n", + " std 0.02828\n", + " skew 0.00055\n", + " kurtosis 0.00085\n" + ] + } + ], + "source": [ + "print_statistics(log_returns.flatten())" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.05000000000000005" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.mean() * M + 0.5 * sigma ** 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.20000000000000015" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.std() * math.sqrt(M) " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "1bb98c2c-002b-4e19-88af-ae23db1a673f" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist(log_returns.flatten(), bins=70, normed=True,\n", + " label='frequency', color='b')\n", + "plt.xlabel('log return')\n", + "plt.ylabel('frequency')\n", + "x = np.linspace(plt.axis()[0], plt.axis()[1])\n", + "plt.plot(x, scs.norm.pdf(x, loc=r / M, scale=sigma / np.sqrt(M)),\n", + " 'r', lw=2.0, label='pdf') \n", + "plt.legend();\n", + "# plt.savefig('../../images/ch13/stat_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "75c069e5-c518-4fca-8b60-de465ba1a56b" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sm.qqplot(log_returns.flatten()[::500], line='s')\n", + "plt.xlabel('theoretical quantiles')\n", + "plt.ylabel('sample quantiles');\n", + "# plt.savefig('../../images/ch13/stat_03.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "a6e5cdd2-0e90-4b34-8c13-d52dfe7e897b" + }, + "outputs": [], + "source": [ + "def normality_tests(arr):\n", + " ''' Tests for normality distribution of given data set.\n", + " \n", + " Parameters\n", + " ==========\n", + " array: ndarray\n", + " object to generate statistics on\n", + " '''\n", + " print('Skew of data set %14.3f' % scs.skew(arr))\n", + " print('Skew test p-value %14.3f' % scs.skewtest(arr)[1])\n", + " print('Kurt of data set %14.3f' % scs.kurtosis(arr))\n", + " print('Kurt test p-value %14.3f' % scs.kurtosistest(arr)[1])\n", + " print('Norm test p-value %14.3f' % scs.normaltest(arr)[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "d35f18c9-d798-47f7-85d4-dc09b0907134" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skew of data set 0.001\n", + "Skew test p-value 0.430\n", + "Kurt of data set 0.001\n", + "Kurt test p-value 0.541\n", + "Norm test p-value 0.607\n" + ] + } + ], + "source": [ + "normality_tests(log_returns.flatten()) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "80629df6-776e-4849-872b-46b6b35d4eb0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'log data')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n", + "ax1.hist(paths[-1], bins=30)\n", + "ax1.set_xlabel('index level')\n", + "ax1.set_ylabel('frequency')\n", + "ax1.set_title('regular data')\n", + "ax2.hist(np.log(paths[-1]), bins=30)\n", + "ax2.set_xlabel('log index level')\n", + "ax2.set_title('log data')\n", + "# plt.savefig('../../images/ch13/stat_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "9e7b6096-9d21-4199-882b-b38f760fc72e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic value\n", + "------------------------------\n", + " size 250000.00000\n", + " min 42.74870\n", + " max 233.58435\n", + " mean 105.12645\n", + " std 21.23174\n", + " skew 0.61116\n", + " kurtosis 0.65182\n" + ] + } + ], + "source": [ + "print_statistics(paths[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "b9b2eab0-7788-48f7-b4b2-c3f1e263f0b6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " statistic value\n", + "------------------------------\n", + " size 250000.00000\n", + " min 3.75534\n", + " max 5.45354\n", + " mean 4.63517\n", + " std 0.19998\n", + " skew -0.00092\n", + " kurtosis -0.00327\n" + ] + } + ], + "source": [ + "print_statistics(np.log(paths[-1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "7bd3a6dc-ca9f-4878-bf30-27127547b952" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skew of data set -0.001\n", + "Skew test p-value 0.851\n", + "Kurt of data set -0.003\n", + "Kurt test p-value 0.744\n", + "Norm test p-value 0.931\n" + ] + } + ], + "source": [ + "normality_tests(np.log(paths[-1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "fbe45821-3fda-4924-9b65-b7aae6004ae6" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "log_data = np.log(paths[-1])\n", + "plt.hist(log_data, bins=70, normed=True,\n", + " label='observed', color='b')\n", + "plt.xlabel('index levels')\n", + "plt.ylabel('frequency')\n", + "x = np.linspace(plt.axis()[0], plt.axis()[1])\n", + "plt.plot(x, scs.norm.pdf(x, log_data.mean(), log_data.std()),\n", + " 'r', lw=2.0, label='pdf')\n", + "plt.legend();\n", + "# plt.savefig('../../images/ch13/stat_05.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "1db3cb57-4537-4e8c-96ca-9a96cb35bf99" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sm.qqplot(log_data, line='s')\n", + "plt.xlabel('theoretical quantiles')\n", + "plt.ylabel('sample quantiles');\n", + "# plt.savefig('../../images/ch13/stat_06.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Real World Data" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "2fac84d1-67fd-4345-a9b8-58e8e20b6ea6" + }, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True).dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "8c2cddba-d3fc-4e22-8b22-b0a6dcf61f16" + }, + "outputs": [], + "source": [ + "symbols = ['SPY', 'GLD', 'AAPL.O', 'MSFT.O']" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "eaa5651f-3c91-4f0f-9941-b564e4b7dbe1" + }, + "outputs": [], + "source": [ + "data = raw[symbols]\n", + "data = data.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "e4574de5-c00f-4665-b341-dad771d24d8e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 2138 entries, 2010-01-04 to 2018-06-29\n", + "Data columns (total 4 columns):\n", + "SPY 2138 non-null float64\n", + "GLD 2138 non-null float64\n", + "AAPL.O 2138 non-null float64\n", + "MSFT.O 2138 non-null float64\n", + "dtypes: float64(4)\n", + "memory usage: 83.5 KB\n" + ] + } + ], + "source": [ + "data.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "uuid": "f2acb16d-fd16-4008-95a7-5213e3df3a9e" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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SPYGLDAAPL.OMSFT.O
Date
2010-01-04113.33109.8030.57282730.950
2010-01-05113.63109.7030.62568430.960
2010-01-06113.71111.5130.13854130.770
2010-01-07114.19110.8230.08282730.452
2010-01-08114.57111.3730.28282730.660
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" + ], + "text/plain": [ + " SPY GLD AAPL.O MSFT.O\n", + "Date \n", + "2010-01-04 113.33 109.80 30.572827 30.950\n", + "2010-01-05 113.63 109.70 30.625684 30.960\n", + "2010-01-06 113.71 111.51 30.138541 30.770\n", + "2010-01-07 114.19 110.82 30.082827 30.452\n", + "2010-01-08 114.57 111.37 30.282827 30.660" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "d4cf7b80-4be5-48d6-b669-acf6c9784941" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " SPY GLD AAPL.O MSFT.O\n", + "Date \n", + "2010-01-04 NaN NaN NaN NaN\n", + "2010-01-05 0.002644 -0.000911 0.001727 0.000323\n", + "2010-01-06 0.000704 0.016365 -0.016034 -0.006156\n", + "2010-01-07 0.004212 -0.006207 -0.001850 -0.010389\n", + "2010-01-08 0.003322 0.004951 0.006626 0.006807" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns = np.log(data / data.shift(1))\n", + "log_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "f6fefbe1-3ec6-4d1b-b774-9db3f3c38c83" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "log_returns.hist(bins=50, figsize=(10, 8));\n", + "# plt.savefig('../../images/ch13/stat_08.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "5e6f48e5-68f2-44ec-ad92-635ad3c249ec" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Results for symbol SPY\n", + "------------------------------\n", + " statistic value\n", + "------------------------------\n", + " size 2137.00000\n", + " min -0.06734\n", + " max 0.04545\n", + " mean 0.00041\n", + " std 0.00933\n", + " skew -0.52189\n", + " kurtosis 4.52432\n", + "\n", + "Results for symbol GLD\n", + "------------------------------\n", + " statistic value\n", + "------------------------------\n", + " size 2137.00000\n", + " min -0.09191\n", + " max 0.04795\n", + " mean 0.00004\n", + " std 0.01020\n", + " skew -0.59934\n", + " kurtosis 5.68423\n", + "\n", + "Results for symbol AAPL.O\n", + "------------------------------\n", + " statistic value\n", + "------------------------------\n", + " size 2137.00000\n", + " min -0.13187\n", + " max 0.08502\n", + " mean 0.00084\n", + " std 0.01591\n", + " skew -0.23510\n", + " kurtosis 4.78964\n", + "\n", + "Results for symbol MSFT.O\n", + "------------------------------\n", + " statistic value\n", + "------------------------------\n", + " size 2137.00000\n", + " min -0.12103\n", + " max 0.09941\n", + " mean 0.00054\n", + " std 0.01421\n", + " skew -0.09117\n", + " kurtosis 7.29106\n" + ] + } + ], + "source": [ + "for sym in symbols:\n", + " print('\\nResults for symbol {}'.format(sym))\n", + " print(30 * '-')\n", + " log_data = np.array(log_returns[sym].dropna())\n", + " print_statistics(log_data) " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "83fc3d8b-03c4-43bc-a7a3-b7ac0747c2b1" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sm.qqplot(log_returns['SPY'].dropna(), line='s')\n", + "plt.title('SPY')\n", + "plt.xlabel('theoretical quantiles')\n", + "plt.ylabel('sample quantiles');\n", + "# plt.savefig('../../images/ch13/stat_09.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "a6e1cee5-aebc-4c63-8ce4-100562f31859" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sm.qqplot(log_returns['MSFT.O'].dropna(), line='s')\n", + "plt.title('MSFT.O')\n", + "plt.xlabel('theoretical quantiles')\n", + "plt.ylabel('sample quantiles');\n", + "# plt.savefig('../../images/ch13/stat_10.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "bce2aa32-77f9-4d5a-9a81-1a37b6b90001" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Results for symbol SPY\n", + "--------------------------------\n", + "Skew of data set -0.522\n", + "Skew test p-value 0.000\n", + "Kurt of data set 4.524\n", + "Kurt test p-value 0.000\n", + "Norm test p-value 0.000\n", + "\n", + "Results for symbol GLD\n", + "--------------------------------\n", + "Skew of data set -0.599\n", + "Skew test p-value 0.000\n", + "Kurt of data set 5.684\n", + "Kurt test p-value 0.000\n", + "Norm test p-value 0.000\n", + "\n", + "Results for symbol AAPL.O\n", + "--------------------------------\n", + "Skew of data set -0.235\n", + "Skew test p-value 0.000\n", + "Kurt of data set 4.790\n", + "Kurt test p-value 0.000\n", + "Norm test p-value 0.000\n", + "\n", + "Results for symbol MSFT.O\n", + "--------------------------------\n", + "Skew of data set -0.091\n", + "Skew test p-value 0.085\n", + "Kurt of data set 7.291\n", + "Kurt test p-value 0.000\n", + "Norm test p-value 0.000\n" + ] + } + ], + "source": [ + "for sym in symbols:\n", + " print('\\nResults for symbol {}'.format(sym))\n", + " print(32 * '-')\n", + " log_data = np.array(log_returns[sym].dropna())\n", + " normality_tests(log_data) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Portfolio Optimization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Data" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "74a583b1-1e85-4efa-adf0-c70377606aa6" + }, + "outputs": [], + "source": [ + "symbols = ['AAPL.O', 'MSFT.O', 'SPY', 'GLD'] " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "74a583b1-1e85-4efa-adf0-c70377606aa6" + }, + "outputs": [], + "source": [ + "noa = len(symbols) " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "uuid": "23729711-44d9-49a9-9c10-8d238be308cb" + }, + "outputs": [], + "source": [ + "data = raw[symbols]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "e7e3d4af-6b03-4b05-9bb2-69132aa9b96d" + }, + "outputs": [], + "source": [ + "rets = np.log(data / data.shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "uuid": "2bd5a671-fb77-4c78-90d9-bef99c34af86" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " AAPL.O MSFT.O SPY GLD\n", + "AAPL.O 0.063773 0.023427 0.021039 0.001513\n", + "MSFT.O 0.023427 0.050917 0.022244 -0.000347\n", + "SPY 0.021039 0.022244 0.021939 0.000062\n", + "GLD 0.001513 -0.000347 0.000062 0.026209" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rets.cov() * 252 " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Basic Theory" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "uuid": "3d86ff5b-9de8-4cee-99ea-cc01e4697320" + }, + "outputs": [], + "source": [ + "weights = np.random.random(noa) \n", + "weights /= np.sum(weights) " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "9d9499c0-c033-4d4a-b2d4-e8ef064eb9ae" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.07650728, 0.06021919, 0.63364218, 0.22963135])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weights" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "scrolled": true, + "uuid": "9d9499c0-c033-4d4a-b2d4-e8ef064eb9ae" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weights.sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "c9ec5dc3-df96-4418-90fe-0e76ed7b006d" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.09179459482057793" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(rets.mean() * weights) * 252 " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "40f68bdb-74ea-4f6d-9f93-c498a9a13167" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.014763288666485574" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.dot(weights.T, np.dot(rets.cov() * 252, weights)) " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "351e317e-5f22-474b-b1a5-1f2934f608a1" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.12150427427249452" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "math.sqrt(np.dot(weights.T, np.dot(rets.cov() * 252, weights))) " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "def port_ret(weights):\n", + " return np.sum(rets.mean() * weights) * 252" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "def port_vol(weights):\n", + " return np.sqrt(np.dot(weights.T, np.dot(rets.cov() * 252, weights)))" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "689bff52-80a9-48ac-9fce-0855e2a763ae" + }, + "outputs": [], + "source": [ + "prets = []\n", + "pvols = []\n", + "for p in range (2500): \n", + " weights = np.random.random(noa) \n", + " weights /= np.sum(weights) \n", + " prets.append(port_ret(weights)) \n", + " pvols.append(port_vol(weights)) \n", + "prets = np.array(prets)\n", + "pvols = np.array(pvols)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "uuid": "81d7f822-79e9-41bb-94b1-649807788f2e" + }, + "outputs": [ + { + "data": { + "image/png": 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EJsuzCCHEEaDzqecrA6fhfhSpuO4SBrypLjpXfym/cG/U1Unbz37K/C9/tey0+rPOpP6sM0fYcnEkkIRxIYQQE0rH3f/H+o9/vvC9Tmm0p1BKEWZCbLr6ecpVKA9UVmFa6rEDfWivVuHK5YTd3ZiGhrF4BCEmlMmVHi+EEEcYG4Zs/9aPsHs7wQGT0jgpgzY6HnLzDKrKr8nKgNvs4NQlaLrofI696VtMf8P1ky53RYwSrUf+NYFIz5MQQhxmelesYe+9D+O0NDH91Vehk4max3Y//gx9y+OClSal0YM+hJRSmKQhylhsGCc4Ka3RybhnymlpYOFXPoHbOoOG009mw8Y19K9cUXGf1KKT0MkkmR3b0A2NmIYjt2aROHAybCeEEOKQsFHEho98gT2/u5eouweAHT+4mfk3fpApl15Q9ZwoP7NOgXZ01Z4jpRTGU5QNNuT+aPu62faZTzP/37+Nchymv/Wt7PjXr5Ntaysc6s6dS90xC9n+0feS3bIJ3dBI4pQzmHrDezFNzaPy7GJiU2pi9RyNlARPQghxmNj+/f+m7ebflm3rX7OBdR/4NDPf+Xqceo+eZ54n6ukmsWA+09/4NzSdexbJE4+jf+UwS96pOCeqMJMupehfuYJ9f7yTKddcR+O555H45rfpuP12su3tuDNn4s5ooeuXP4NsXHIv6uqkb8mD7OnrZcYnPr+fG4pJQXqehBBCjCdrLb0vrKD9t3dX3Z/ds4/t//Z9nEZT6Fnqefo5up54ioVf+yKz3/UWNn32G0Rdewsz5CoY0J7GJBXa0URhhHGLPVUDmzYVDvVmzWbmu99T+H7nZz5aCJxK9S97nv4VS0kuOuVgH12ICUmCJyGEOESstez57Z/Y+YP/pnflGmx/lZLfeVWqfme2bKPtZ//Ngi99luTxx7DzJzfT9chjRHvLSxaoBLiNTtn52pQP8TlTW2reOmzfXX1HJk16/RoJngRqgiV8j5QET0IIMY5sGNL++3vp/MtT9DzzAn3LS4bb8lW9qzA1Sgjse+DP7PzufzLjHe9kzvtvYO+CFvpXrCC9azcDW7ahjEKboT/Y3DlzmXLtK2vuN1Onk92+tcqJLt6xxw95bTE5SMK4EEKIMdHxwKNs+OA/E+7rKl8aRYFJaqy1hD1RRQClXFWz/pLNZGj/1S1kdmwns3Ed2Z07CvsSTR5hJooriQ+mAK1J+icy/e3vxNTX12x33YWXMrBqBWTKC0YlTzmDpH/yMJ5cHPEkYVwIIcTB6l4esOaGj5Jt241yXRrOOZOmi15E5/0P0b3kSaDkt3QFKBsHR/mq3g2KqD8iCuPFe5Wj0IlcgneVZVZ0Lsep57FHq5TKURjXEBIWAiilFe7MVmZ96KPoVB3JRSftt7ZT46VXYPt66XngbjLbNqPrG0mecjotN8jSoiImPU9CCCEOmLWWNe/6OB133FuytZ999zzIvnseRHkUh8+c3IdNBGQp62nSjkY3xMfp5maye+L8pShr0ar8Q0q5CrfJiRfzxVJrPRYnWUw0x0LdySdTv/hFB/R8TVe9ksaXX0u4pw3d0Iiuq91TJcSRToInIYQYIWst6z5w46DAadAxWeIZb3UaZeICldbauEfIWky9KhwXDcS9RHWLTkBPaabv8UcwTohVEA1ERFGEm3Rw6gxaa6Iowg6Raw7FZHMLNF5y+UE9pzIGZ8asgzpXHOEkYVwIIcT+dD72NDt/fAt9q9YR7ukgs2fv0CdEoJO6MDwHueKV9RrtqmLPUAIiNyLbHZGYN4fEtAThMgAT7/fi/ypDoZq41powioo5VIOUDsu5R82n/ryXHMwjC1HTZFvWR4InIYQ4QJ2PPsXqd36McE9HYZtOaiwW218jgjHxMFsZTXnglN/saXTSYlqb6H7wnqqXsyFlBcOVpmrvkzLFDzbdMpXZn/3KpPugE+NAep6EEELk9a3bxK6f3kr/+s1k9+7FaWmic8nT2J7+wjHKUShXoVCE6bBquQEnVbl0inYqA6c8k9CEWzcSdu6r2TZrbTEw0pqICJwE9S++AGd6K2HHbtLr1kAYkjjeZ8rrXo87vXW/z2zDkPQzj2K79uGedg5m2oz9niPEZCLBkxBCDBL1D7D1P35Ex11/pn/9JshkyopUWmvjUbR8T49T0ruT0EQD5eUGdFJhGp14WK1Gx9Rgyii8ufPoX/psfP9qxwwOxlyXlre9k5Zr/voAnrZcZtVSen/zU6JtGwHou+s2EotfQurVb5MeK1GTzLYTQohJKurrZ+2HPkfHHfdAWBL9DPpcUEqBygVRUUkQo8BrccCBsDvCZiw6oTCJOE8pwsaz6/L3y1q0Z6sGJXrKFFpv+HsyWzbS9+zTFfuVM2iYxHGZ9vZ303zltQf17BDXjOr99Y+IdmwpbuztZuChP6FbZ5O8+MqDvrY4wkmdJyGEmHz6t2xj6RVvJOrorNxpiXuSTPlmU6fQSVP4rVs7xWKWukljM+XdTForrGfjmXe5XVE2QjuDhvSMYe6/3IhOJpnx/g+x65v/St+yFyCTQTc20XD+S0guWkTPIw8S7e3AaZ1Jw8teQcOLzx/RO0j/5YHywKlEZumTEjyJ2qTnSQghjnxRNkv38yvZ/h8/YmDzNvpXr4OoGOyohIqLUlqwkcUO2LLgyWkyOA2mLOixdtCY3ODlVqJ4eEN5Jb1VOlcIU2tsZFGOwkka6O0CwJs9m3lf+jp9y5eR3ryRujMW486cCUDzFVeN5ish6umquc/29Y7qvcSRRUnPkxBCHLnCvn5WvOod9D6/AvLBjiIOjHJLpui68pICAJGJCj1JylE49aZiuK1i+E1TmecUxflMKlcoU6k4WDJuebfWwKqVNF54ceH71EknkzppbJdCcY8/mX7XrZpjZWbNGdN7CzGRSPAkhDjiRZks27/9Uzofepyup1+A9KDgwObiJgeUVRWBE8SVv8MohBBMSg8rQVYphTVx5KSNRilQri4GbcQL/g4OnIAh15obK84xJ+KefDaZZ5eUbVct00lcNLq9XOIII8N2Qghx5Oh68nnWfeizDKzeMORxNoqH4vK9QTYCm7VlvUba1eBY9OB6TUNQSmGSGicR/7h1Zs+h8bIrsFGE09RAx89+CNls2Tlm2nQaX371sO8xmurf8n76WmeRDV7ADvRh5iwgcfFVOPOPPSTtERODkjpPQggxcdkoov3O++l5YQX7/m8JfctWl/X01OI0lA+dKQ1WQ5QuBlAmoXEaKnuJBlO5ziUnYTC5deVsLp/KaZ7C9De8qdjerk667v4D4d644KYzZy5T3/g2nCktB/LYo0YZh7prXg/XHJLbi4lqHMpY+L5/OfAqYBdggyD4zKD9PwJKo/zTgLOCINgw2m2R4EkIcUTIdOxj34N/Yfv3/pu+0nymYVCuQicrf3NWWqEci82N8mlvPx8QCrwmDzehUbp8DbsotGT7stSdfU7ZKVPf+Hc0XXkt3Q//GZ1K0nDR5WjPG3bbh2LDLOm7byUMXsD296BbZ+Oc9zLckxaPyvWFGC++79cB3wNODoJgwPf923zfvywIgvtKDrs7CIJbcsc3AT8di8AJJHgSQkxwNgzZ+Kmv0/6H+8nu2hMnaWuKBSyHQVVZIqWwTymsspg6jU7o6kUuVfzl1hu8pImDJj1oDTtHYVpbmPo3b6g43Zk6jSnXvmr4DR6m/l/fRPj0Q4Xvw47dhJvXo173LpxFZ476/cQkNvbDducBG4MgGMh9/whwFVAInvKBU84NwI/HqjESPAkhJqSB7bvY9m8/ZM9dfyba0w4qt3Zcrtp31FtljZRahvi5r4zCa4hn39nIlnVoKR0P5eUDL5NPNK8ViNmQ3v+7i7qLr0CZ/Q//jUS4cyvh8icrd/R1k3nsPgmexOga+2G7GUBpLY3O3LYKvu9r4Arg38eqMRI8CSEmjCiTZefPbqXt57fRv24TRFG84K4p+cGdBevYyhpLg2nAjYMf45i4xlKVGUM6UTL7TlEItLRW8aK+Oq4grrQu/PJdqxfLDvTT+fPv0v/Y/zHlvR/DTJl6oK9g2MLVL0B/X9V90e7tY3ZfMTmNQ8L4LqCx5Pum3LZqrgN+HwTB8MfuD5AET0KIw97A5m20/e4+tn/ju9iBdDEo0rk1tUw8E05rFY+qRZYwiuLCloNp0CmNNjpX1NLGgRMKi41/gc6vU+eqspl12tW4dS4oiNIhxjU4KQdt4g8OG1miMKoZiKEBBZk1K+m65SdMeeeHRvEtlVPTZuQy1ysjSFXXMGb3FZPU2BfJXAIs8H0/kRu6uwD4ju/7U4FsEASlSwO8FagcHx9FEjwJIQ5b2a5uNnz483Tc9QA2ClEqrvpttS0Um0TFs9ryvU8KwMQBVaQsUSaK6zgZFSeGO+W5SMpVJFtdokxEmLGFpViUB8YUj9WeJtWSLC4OnHQKZQ0K19MKrTRRNgSrK3qg4lpP8bb06uXYMByz4TvnxDPJzD+WaOPqin3mRBmyExNLEAS9vu+/G/im7/ttwPNBENzn+/5XgXbgywC+758BrAqCoHss2yPBkxDisBJlsuz+1R30rVxL58NP0BesLeQx5SmlCkuluE0GZeLaADakkNCtlIqH3DyNThaXj4iiqJBMrhwVr0en42Rw41miTNwThQIzfTrh3na0C6mmZEUbqg3PKaVwZ8yEugZsbzdR++64Lc6gYpjZTG7YcWyCJ6UUievfzsBvfky0aXV8r/pGnNPOxbvk4BcPFqKqcSiSGQTBPcA9g7Z9ZND3zwLPjnVbxjR42l9NhtwxrwW+BHwgCILfl2x/DOjPfRsGQXBZbvtU4ghzHXA88IkgCHaO5XMIIcaezWbZ+V+3seVr3yPa15UbksslgdeiwCRM4RtrbKEuk1LxMBwaElNcbNaS6Y3QWpcliDsNg2bF5coROLNmc/RNPyXKZtjxT+8l2jMovWKIZqXOWMzUd34Qm8mw+9PvJ9yxteIYZ/4xKNfd32sZETNzHql3fYpw7XLsnp3oE8/ANI9dnpWYvGRtu1EynJoMvu8fDbQBm6tc4k9BENxYZfsXgXuDIPiV7/vXAF8H3lTlOCHEBLH1Oz9n27//ANvfXxhKUzo3ay601csDQMV2pRXKBZsurlnnNZt4qM4B5SmyXSFRGO9z6nO9QYOvrxRNF1+CTibRJPHmL6B/cPBkqRlAuQuPiy/jutRddjVdv/45DBSTt3XLNOpf8crhvJqCaO8e7O7tqNkL0PWN+z+h8CgK57iT4bixXRdPTHKyPMuoGU5NhvXAet/3/6XK+af6vv9RIAU8EQTBnbntVwFfKLnmz8ai8UKIsWPDkK3f+CEddz1I/7oNcRJ4Pvkb0E7uB3E+QKkVPFX5ZVcbRajiE5KtTtlQmdYapwEIwWlw8eocbGQJMyHZvhCMwVuwgKaLLmHq64u/kzlHLYBnnqh8Dmsrhu48/2QaLr2i8H395VdhWmfQv+TPRJ170a0zqbv0SrwFw1vuJOrrJfu7HxOtXQ4DvdDQjFm0GOfKN066JTHEYUx6nkbNsGsy1PCVIAge933fAA/6vt8VBMGDg67bCbT4vu8EQZCtdaGWljocZ+i8gtbW4f8mNxnI+6gk76Tcwb6PHb+7l6Xvu5GB7W3lO0KwyuI2xYnYYV+YG36rHTuZ+uo/sHVS4aQMxq2+wG9yWqLQa6S0wk25ePUeJpnAbTLUhZ1MrdM4DfGsNLtwLt1VgjilFKapAW/GbFCG+pNPZs5b347TOOjdXH4pXH4p2e5O9t3xKwbuupmMViSOPZGWa/8GnUzVfF+7f/h90qX1mrr3ET5xP6kpTbS88vDudJd/M+XkfRw5xjJ4OpCaDBWCIHg899/Q9/2HgEuAB0uuuzd3zY6hAieAjo7eIe/V2tpIW1vXkMdMJvI+Ksk7KXcw72PP7+5m6zdvoj9YV7v6t8rNitOqUKcpTg638Yz7kuDFmWpINnuAIspGRAO5KfkajKtrLt7r1rkoUzoTzoJW8cy6MEtm53Y67tlOz85dTPvwZ1BK0dOTxkk6RJmosEad0nESuDtjFou+/5PC++joB/or341ND9D3wy/Fyds5A6tX0L1qJakbPoZyKn8cR3v3kF5ePfe1+5nHyZx/7WHb+yT/ZsqN9/sY90A0erfBAAAgAElEQVRtHNa2O5yMZfB0IDUZyvi+fyJwQRAEP8ptOh74Te7PdxIPCW7OXfPOyisIIQ4nm7/+XXb8509Q2g7Zk0QYf1lr0a4mysYBUVyioHiYN80l0eKV1FIyhImQTGcW5eRm0TU2YrvLZysbz+AknUFDbQoiiFQumTwnvfw5ev/8J7LPPU5m7UrclIf1IqJsMYAC8E4YXi5R5pG7ygKnvGjdCjJPPIB33ssq9tnd28typcp0tUNmABK1e62EGDeHaRA/VsYseBpOTQbf9xXwSWAB8Drf9zNBENxFPBx3te/7c4h7lzYDv8hd+hPAV3zfP4F49eQPj9UzCCEOnM1m2X3bnfSv3UjY28fAli10PfQXtANojQ2HWHQuH9PkajjppCZKR8WimApUQuFN8SqKUBrPYBstNmvRjqLxvPNRqRRdd/+JaGAAbTRO3eDAqbThg77PZum745fQ01VomjIapRXZgSxY8BadSsOrhzd0Fm7fWHNftGVd9SaFQ3SqKw1eclj3FmLMSc7T6NlfTYZc6fTP575Kj9kGVJ2KEgRBO/D3o95YIcSIDWzfxeq3/yN9y4LiRhUvZYKKh+OUiRfardb9pPM5Srn8Iu3Fs+Rs2kICHMfgpAzaVA+AtKOxxD1I3tx5ROuXUdfsYK0pztyroXSPMgon6aL6u8GouBJ5LoBTSuEtWEjqZX9N6vyLUXp4dZqUl6i9062xb9eWXNJXlXYnkrUDQSHEmJpcoaIQYszse/Axll3xOvpXBGijil86XqzXJBVOnUY7cTkBBsUcylOYVPwjyW02uE1O3NNkFU6dwU05cT6UUztg0CZewDdx/Ak4jUnSK5fG1x5GkKHKEsg9jGMKhTC11mU9Xc60VupectmwAycA57QXg+NV7kgkcRe/pHqbmlriAqCDp4FrjZk5b9j3FmLMaTXyrwlEKowLIQ5KlM6w4wf/RddjTzGwYxeZzVsgCuPeIgu2pD6TcuJK33ENJ43OgkoqbBQfpz1VWB8OHS/Wq1Rc6ynTFxZ6pFQCnHqnZsK50uDOW8CcG79A169+XOUAqidcKXKBkMUk3WJbBp+bo1umDfc1FTgnnIZ78dVkHrkb+nK5WPVNeC+9CnPUcVXP0aeci3r8XtTOzfGSNPmmaIPyZYkVcRiRYTshhBiaDUPWvOsj7LvvYSCuAq49jS6pqWQdGyd8Z+PaS/neH5OMg6soHcUBlVf+Q9dJFWfCGU+TaHZBKcKBkCiyGKOx2MohOBXXh5r6ylfhtraiquQDGUcTRVHZzD2Vqy9Vf91rsaueJ9q6vuozKxUPN6rGZpIXViZ3D0fiZdfjnH0R4TMPg9I4iy9EN7XUPF4ZB+fKNxHe9UvYtj5udH0T+rTzMYsvPqg2CDEmJtkQsgRPQohh61m9lvXv/giZtnay+3K9J06cm6QHdbsrpTCuIQzDsl4bpeJhuCih4lwmFRdz0kZhkgpTVz4UZiNwPI2p04TZEKzFuBqlo0IApXR8vvI86s67EIDUuRfS+8gDkEkXrmUSDjqyRJnyriuVTOA21pPesXHIIT49fRb1178Fd+EJB/zuAKKNAWrDcpyEB6ddgG6cst9z9NxjUH/3caK1y6CrA3XC6ej6poO6vxBjRmbbCSFEXC6g+/Fn6Hz8aXqfW0b3spVEu/YU9heSthNUBE6lnGYTJ1wPoo2GFDgNtRPAIbd2nQKi+BwbFc8fnHJUt/hcnJZ47bbkaWfRcNWr6LnnDmxPT+4cg3IgMpoojMBatGPQBrIrnhvyfejW2TR97GvoxIHPcLNRRPSHn0LwDORn0D37INFLrkGfXj3fqZRSCnPcKQd8XyHE2JDgSQhRofOxJ1n7ro8S7ussLpsS1Th4AKijZvEmBZg6g81QcQ3lKEwiF1xVmQlnPINx4v3WRoDCq3fRrsZGUW4oLy5loF2N2rWWrv/5Hg1/+w6U1jS/5s3UvfRy+h5+ABRkn3uMaOfWXOBV8puyl0Q3NRMRP2tpHScA1dhM/Zved1CBE4B98j5YPmh5l55O7MN3EB13Krq++aCuK8RhQ4bthBCTWd/mrax+43vB2mKl7yF+LjpNcc+QTdc4wI1nq9mEjQtgZm2coO1onDpdmNEW2SjO547i+2pX49a5QG62nFY4XnGtOmUMOj/Ep8DxDHR10v/nP6Ebm6m/9m/j28+cg3v9GwDocTV9d95a2UT/FBIXvIzssqchk44DKJtLeHcMdW94N+4x/kG8zZjdsLL6jp5OeO5ROP8VB31tIQ4LkyxhfHI9rRBiSJ2PPcnyl78uriuUq9RNrkZTVRqcOhOXGKgya1+5xMue5Go9ufUOXrOL1+Ti1hlULipTRpFo9HAbHJItSRLNCbx6r6ISeNVZcBDP7isZGkw/V7mIL0DdVa8jecmVqOZ4aI9kCvf0c2h483vw/NNIXnwVJOPeJaUUKpUieck1JE45e8j3lt21jeiFJUS7tlQ/IMwMcXKtqFOICUTrkX9NINLzJMQkFvX3k93XhU4l2fO/d7L9P74PmTQ6UaxrFA+Z5XqMBnHqdFx7CYXbpIgG4jXolAad0NhMhHLj9VgGVwTPM67Gq3fjxYDTIZbqdZmUqX2N+IDivqi7cvUnm80SblpF6sKXkbzqtYQb1mBmzsFpnVU4JnXN63EXX0D6qUcA8M46H2fuwpq3tJk00R9+xu6NK6C/D9wE4YITUVe+GZ2sKx7YOhc2Vy7NguPCsafEwWqmH4wLRn4siwlIhu2EEEe6aGCATV/4Bnt/fzdRfz8QrzmnVLzYbWmQEg+rQeTlZseVKHT2KPDqXHRz5W+PYTYi259FVUsKV+AkTeF+2tWEmerJVTV7nUr3W4uNLHrGrLJ96cfuJbvkbuyubWAc9FHH4l35ekzrrIrrOHMW4MxZMOS98qJ7fgnB08UNmQFY8xz27pvh2rcXH/PFV2C3rIkrhpc68Wx0fzf6ju+h2reDl8TOPobovGsgWT+sNkxUqmsP3ubnMD3tWOMStswlveCsCdcDISYnCZ6EmGT6129k1ZveRdjeUVw6pSSpqVbvjlIKa4rLlGDBqvgbJ2HQTvUPPeNobMKgBndc6VzAVXJeXN5AE2VtfANU3EaTG7LTVE1cV/k6UiquQJ66oFiHKbvyGTJ//CWk++MNYZZoQ8DAr39A6n2fQ7lVqn4PYtP92Ef+gN22Lm7WnIXwokthY41cpo0Btq8blWqIH7VhCtGr34d9/J44gHJc1MJFqBmzMff/ApVvW7oftfpp6O0kuvLvj9jf5lV3O6mld2P6iz2Ezr4dqN59DJx82SFsmThokyznSYInIY5wURTR8cf7aP/tH8l299D//PPxIreOKsZMltqz6fI0KJ0LYAy4jRon5cQJ3kOUGgBwUw5u0okX1CVOFnenTYWuyuG1OIDKJWwr0CU9EcZoIlVS5FLFP7ONV0wcdxMupq44Ky77zCPFwKmE3bWVzOMP4F1wxZBtt2GW6LbvwuZVxY3b1sbDcH1d1U/q68b2dBaCJwDd0AyXvrrsMH3Pz4uBU+k72LYONgcw/8Qh2zaRmLb1uLvWoDIDqP7ussApz21bT2bfDqLmyh5BcZg7QgP9WiR4EuIIld61mzXv+CD9wZri+Fo+L9Ooih4mqyw6CVEvVcsOGE/jTI+DFO3oePkV9pOHVEIbjVdX0svT01V7uRRyw4Wl11a5Ypjosqkuyui4nEFkc4GWJfPsEtzTzo2fq3tfzTbZzvaKbVHbVtiyGqbORs0/Afvcw+WBU97OTVDXBNnKIIApragprTXvW9DVUXWzshFq9xbsERI8uZueJbH+KZTNFSetttAxoGyI076FtARPE88kG26V4EmII0yUybD6hg/Q83ici6M0hWAjH4xUC3iUVhhPo5Ul2z2oG0qDThaXWNFaoZNxraQwE8WBVK01cgtDg4MbaoslAarJtzlVR93FLyO95H50mIkT2KPSyuIaa4vlDQBsf2/xMlNaiVhR/RYziovr2mwG+6efw7plcU+VNti5x2K9uqrnAlDfCP09EJVULFcKddI5KMetfV5eXWPVzRag6cDXzzsshRncrcuLgdN+WCcxxg0SYuQkeBLiCNC7cjXbvn0T3U88Q7Sv2BOiTG7mWr6HJzfUVVME3hQPt9GS6Q2J+kKceoPb4MTDfJEl0xd/CCri5VfiJVhyAVS1fCSlyta8K+O4qGymrCilMhqvPtdD1TyDxje+E+/kM+ifPp3Mvb/BZjNE+fvlz8nVgMrT04s9F855l5Fd/Tx07S1v1/zjcc68oPC9ffB2WPlUybsI4x6nhiGWUJm1AHX6S3BWP02mfTc0NKP8s1Avurz8uL4u9IolqN5ObKqR6MTzoL6J6NjTUVvWoKJs2eF2xlHYY06vfd8JxNm9ETPQPaxjw2QTmTlHRm/bZGNl2E4IMZF0PbeUNW95L7Z/oGy70mBSupjbFEGUibDpYiHKCjpXtNJReI0K1eTgppyyY7VnyPZmMUmDMgobxov1Kk8RZSLCbFQI1JSjcFyDqZJMro3GTGnGZrNEnfvi9e0cjXFNcWFgE5L943+R/fV3YKAPYwDjYq0lCiOyfZm4x6k06Xz6LLyXXlX43sw7lsT1f0/m4T8Sbd8IjotZ6OO94vVxDhfE1cvXL6/6flVfN9a4lbWaHBd14mL00Scx7YpraGurkf+0axPOQ79CdxWHCKP1zxNecD32+MVEPV3o4AnUvjascbCzjia64NojZhgkchI1Y/bS7WGqmYHjXhyXaxATjySMCyEmgvSu3Wz98r+z794HIAwrZqKZOo32Sn6gmTj5OrIRVUdQNDip8plvhaVZSjiewUu5hdIBURQRZSOUUoUeI2ttXHLAxrlSFXlNWuE2eDi2n9BGUF99qMZ278OGvRV1n5RSGMdACsj3WtU14vinkrjkOsz0meVt9k/H8U/HpvtBOyhn0I++MISBXqoKs6hF52DXLYO+XA9Ksh61+GL00SdVP6eEefbessAJQHd3YJ+7j3D2MdgzLiY85QJo2wypRhhOrtRoiCLcjU9j9mxBRRnChulkFpyJrd//YsUHdJup84gapmO6dxc35v5/ZqYtIGqaAU6CzKwTpMbVRCbBkxDicJXe087um39N91PP0Pvks1gsirinyGZyeUchcdDjVslrUgrlKuzgaEaD1+jst5YSirKeIYgDMuWqOIAyCu3E+52ExVqLV+cRZkLCdDYentPxsJxxcsusDGpNvCSMwmajQg5TLVprIsA57VxSb3hfoSepZvO96mvTKcfFtsyE3irDSw1T4NLXoF56HSz7S5zsfNI56OZh5CT1daPbNlVv+86NhF0d0NgSF8ucfUxlu7r24Kx7Ou79SjWQPWYxtnHq/u87DIll9+DuKBbuNPt2YvZuo/+Mq7F1o7jWnlIMHHMuiVUPFWbYWSBsnsXAiReBmwRrMfu2o9M9ZJvnYBNHdo2rI5EM2wkhDjthTw8rX/d3ZDZsjjcoUAmFzg/JWYVyIiyWqBecel21SjfEwYnXbNBG4SQM6HhWW5S1FT1Eg6+gTfXrxuUFDE7CLe7PpTlFUYSTcHASTnG9uNLeLK3idfRQuHUuOhecRWFUuHYtKllH6m/ei3Pi6UMeNyynvSSuwZQpHf5UcOJidKoeqIcXv/zArmkr32nhyjbCefYeshe+tup+vX0N3jN/QvcXAzqzdRUDZ12JnXX0gbVj8LXbt+LsXFex3fR04G58hvSii0d0/cHCqXPpPftVuNuWozL9RPXTyM48FpRG9XaQ3PQUpmdPPLq8bSnZlqMYmL940k1/FxPHQQVPvu9PCYJg7/6PFEIcLBuGbLzxK+y9/Y7yHQp0ShULQ+YZk5u5ZjF1GltjOTXtKtwGF9czZUNy1rFkB8K4hlL+2MH1m4ZaHaVGYEUUD+PlFwC28UJ0xXvkeo+8lIt2ionl+Vl0NrI1AyNz/Em4i86o3agDoE8+l8gYeGEJ7G2LZ8Idf0Zl8veBqGskmn4UZsfayn1KobesRO3agJ2xsHyftbirHisLnAB0fxfeqkcZGGHwZNo315z9prv2jOjaNTkemfmD/l9ZS3Ljkzi9xWFNHaZxd6/FenWkZ+9/WFQcJmTYrpLv+8cDMylWV/kAcP1YNUqIySzKZGi7+Va2/+u3i/k8JZRHZeCU36cUTjJO0s5GYdXcJifhVAROQGGqfziQ6/HRlPcQQc1elPz5teSDJ5O7by7GI8rG9zKuQVUZMizMFKymvhH3wqsqt2fTsOoZiCLwF8MwKojn6RPPhhOHXgR4KGrnBsyG51HpPqKGFkL/xUSnX4Ju24QanHBuDNpG6C2rCAcFT6qvE92+vXobO7aj+rqwqeplDoZliDIKdjglFkaJ2bsV01tZa0sBZt82kOBp4phkvYT7DZ583/8pcCmwgTibAuC4sWuSEJNX1zPPs+7d/w/b2xd/guSTwEuSwZWuHjgV5OthuooIW6jGrTSYhMGtd2oGOtooIlMsUOnVeSijiLIh2NrryykdD9sNxUm6FecrpQgzYaFXquYjOR7KmLh8gOOi5yzEu+oNmNnzyw9c/hd44i7Ym0tOfuCWOGfpxBfBuS8HPXQbR0KvfgL3uftQ2TQQj1qabavInP8amHU0bM8VK1UKtC5WTq+ap1VSXqLKPjvC3/Izc07G3fQCelAJAQuE0+ZXP2kM6HR3zdg4/x7FBHGEzA4druH0PJ0MLAiCoPDP2Pf9Vw9xvBDiAEWZDBs/9mk67/9z/LnpqOIHpwGMxVau4lGVtXGittYanYgDJigPuvI9QYMppXBTblw3KVFMIDeOQel4fxTFNZYKhSodjZvM9VZU+7BX4CQqA6f8uSpZj5k5F3asq1p5Ws06itQNH0c3NA394Hu2w0P/GxetzIsi6GyHx++Czj1wxZuHvsZBstkMzsrHKj7wdVc7ZvlDRPNOwG3bUHmemyA6+rTK7XVNRFPnYnZXJpuHU+eOfNFgL8nA8RfgrXkU0x+XWLDGITPrBLLzx6++VLZpFlYvq6hzBRAlR9CzJsadJIxX+gvQCJSuQTC53pIQY6jriSfZ+M+fI2xrKxa1JBcE5ddwCxXaA6fOEOWCFidp4jIACqKsJdsXxkuUuKp8+ZTBy5zYYgfIYMrReKnqw1zFTpPi8ijWWrRjivlJ4aDgx3FRZGsvNgx4c+eiu9sJq/W0pOrwrnjd/gMngKVLygOnwdYthV2bYcZR+7/WAcquW4ruqb7Uim7fRvq8V6F2b8FsXoHKPaR1PLKLzsc2z6h6Xvqkl+I99XtMTzG9NKxvIXPSS0elzeHs4+lrXYCzZRkqzJBtPRrbNE5lEnJsagqZKXPx2jeWbY9Mgkzr8ePaFiEOxHCCp9OB9b7vrwQGiH/eHQfcOpYNE+JIZa1lxw9/Quc995PZvYuwuxsiCj07eXGdJYtyFCZhcJL5fCELkcUkSopJunE9pYHODKmWBMYzhOmQMBPGvUyDft+xWQteyb1MPESnXRPnIoVRZSBTLdhSuYgnnxDuxD1TeYljj8YcdzrRsw9Bb5U14AB2bEI5Gu062GyIzc+ymzUf9+JrcU4cZkJ4rTpN+bZm09hNwZgET0PWJ8oN02Vf8hrCLSsxO9ZhtSE6+jTs1Dk1T7PT5zFw0Ztx1j6J6u/CpprIHrsYEkMsF3OgHI/swjNH73oHYWDhOVivDqdzB2TTRMkmMjOOJ5T17SYWSRivkAJeNWjbB8agLUIc8XpXBqx+09tQkY2H55RC2drJ1ipXddutc8q3JSpntmmjSTS7OIn42NLyAFEmKlsCxXiaRFOCMB0WiluW1kiK16wLi+fk6jvFM+eieAhQq7g0gY6rjEc2gijfMxUP+5ndW3H8U1FX/S3pX/+Qsql8EPdM5R5Daw2eLqx1p4/xcU49d/gvd9owPmzrh9GDdSCsxWxaSti5BVtXj+rvi4cKS0TTc8GaUtijFpE9atHwr5+sI3vyQfQ0WYvuaQdriRqmjTiZV6V7cXetQg90YU2C7NT5hE2jFNwoTXruaaTnVg5fioljpHl4E81wgqebgY4gCJ7Pb/B9f+nYNUmII0vY00P7HXey9+776HthaTzi5cS9NHG/jcKmh5jGVlGdu3btI10laTM/yy2byRb+nKj34iAsqeMSA4POyy95EqbjOSLGMSXDdRon6cRDhLk8Jp0wuI4mysTH65JCmtHmtSRe8XqirRvIPvUgDPTFN2mcgpnWim7bXNFeOIiE4dMujGfZ7dpcdbedNgdOWHxg1xyKtXhP3YHZsoKQXFkrz42T67NxDk80dQ7Z0y4bvXsOg9m7FW/jM7mK3paofhoDc08lbD248gaqt4PU+iVl69O5e7cwMOcUMjNOGKVWiwlPcp4qfBx4tHRDEARjVAhEiCNHlMmw7j3vp+/Zwu8d8ciXiWfCFYIEIHQtDFGXqcxBlgtwXCcXFJXPbKvZ66Xj5VlMLqcpv80kHLRWWFXekDgwq/IjRcW9ZIlr3oRzziWESx8Hx8M5+yKi5x4iur96sMOcIT7sB3qhvzeeSZcfMnMTcPXfw2N3wprnIdNfTECfcRRc9CrixfFGh9m6ArNlRcVopnIM2elHEc0+gfC4xeO65Iga6CWx5hHMQDH3y/TsIbluCb2pJmzDMKqiD5LYsaJiYV8VZXF3rSYz/RjQUmtZTD7D+Vv/5yAIHivd4Pv+1UEQ/H6M2iTEhGezWYLr/5bs9spaPbpKjSaT0ETWxrlIJZSjMMlBH/i29sK++eVM8gvsAmQz2fi6BhINibj3aHBidw1Owi0EB159AuM5hbwrG1nCdCZujzHgJSFdOSVQaUXU14NO1WNmzsPMnBc/xson0SufINKqop6Vmn8C5swqw1UD/ehHb0dtXR0nhze3Eh1zGgpQuzagohA7fR7hWz4Vt2XDUqhrguPOGPWp1LptY9WZMwqgcQqhfwBDjqPE3b6iLHDK09kBvJ2rGGg474CvqXurJ8KbdA9Oxxay0xYe8DXFkWc8hu1837+cOI1oF2CDIPjMoP0K+IfctwuBKUEQvG0s2jKc4Gmd7/u3APcSJ4wDvBGQ4EmIGjZ/8UtVA6dC7aZBHM+gUopMT4jNRChHkWhOYBLxorrZdBZbMps7Ci1alQ/fGdfgptxC4JTf5yQdwkwY5zXltoXpbKFAZa2yBRAHYdootOvgJIrFE5WKK5xTXw9zjsE952Lo3kf2gdthoBhAKWMwezZjb/4a0dU3oGfG+T923x548Deo3i5M0sNmwjhJXYE+4Uz01W9FVSnWqB+8Bb1xeXHDvjbMcw+gSwPJts2oXZvI/tXb4IyLqz7XqBgy/jw0Qxgq01d7X7r2vqEvOsSHovQ6ibwxHrbzfb8O+B5wchAEA77v3+b7/mVBENxXctgbgb1BEPw8d85+E+l8328FLiT+F/1wEARtw2nPcP7mvwG4Gzi/ZNvc4VxciMki6u+n/fbb2XvvPaTXrSXsraxbA1SuHecovDqn0EvkeIYojDAJp7BwLsSBUWYgS9gfop24IKVJxOUIrI17nBzXQRlVsXCvUgrHi3OUVG65Fe2auMRBGM/cs2pQAKUoSwivVRxTK/Be8VrM/HhauV54Atlbvg3d+1BGY7zcWnd7dmIfvgOuf0984guPQG9cX0hrDQlN4Wnr61GJVOXN9myLe5zKXmD1n9l6z1b08oeJznxZ1XaPhmjWsdhNLxRKD+RZIJoxsuVTDpZNNtTcFx3kYrth/TTMQFfl9mQT2Sm1ZwuKSWbse57OAzYGQZDvxHkEuAooDZ7eAPzJ9/33A7OAm4a6YK4n67+ALcS/8czxff9NgwKyqoYTPH0uCILvDbphlTURajasZhdb7pjXAl8CPpAfCvR9/1jg88DTwDxgTxAEn83tuxG4uOQSXwiC4J7htEeI0WSjiI7f38nuW39FdtNG4jLe+RIDFCqC55mERru6sOAtgFfvYpziD514dp2pKC0AcWCV/ypuLD9mqOrjtqQAZbyQr4Nx48ArX+kbS1zUMuliPLdQv6naMjEAhFls+07IB0/JOlybgbpk5bHb1mMH+uLAqMrwXkGNHhLVthmVHZwYVvt5VfuO2vcYBeHs48kuOBVnYzGAskB41MmE8w7NsiLp2SfhtK3H9JUvPRomGsgc5FIn6bmnovu7cHqLqa6Rm2Jg9imTbnq6qG0cimTOAEqj+M7ctlILgKYgCD7r+/4JxIHUoiAIqi/kCG8DFuXX6vV9vwX4LuUBWVX7DZ4GB045+10sajhdbL7vHw20AYMzRqcCvwyC4Le545b7vn9nEARP5dp08f7uL8RYCbu72XnTTbTf8fs4Byc3ZKRKFtHVRhFli9P8Ey0exouDlCiMyPRk0K4pC5zyFHFgNnh8Ly52Wb1NSmuMZ8oCpAOR753KfYObLJYuiKuK1/jZk0ihiLBRiNIGbFhZJVyp3Oy7LPzpp3DsaTB9iB6LlupFI+2MBfEyLWWz8IZ4XjdRe99oUIrMGS8nnHUcDfs20deXJpp5NOFs/9DNPHI8+vyLSGx8GtPdBtYSNkwnPe/0g14Lz7op+k64GHf3OnR/J9bxyEw/FuuNYr0pIfZvF3HB7rym3LZSncSFvQmCYJXv+03AUcTLy1WzKR845c7p8H1/y3AaM5y17X5cZfO5wO37OXW/XWxBEKwnLsD5L6UnBkHwxKBraaCQBen7/ieJ868M8K0gCIaujifEKNl3771s+eKXsf39aA+0p+Ohr0GflSahcRsNRsd9EvnAydp4mMpr9A460CneI1/ZG4xnMI5DmA5zgVel4ZY3MK6pKF1AlaRuAGMz6Ptvgecfwl7416iFi7Cz5sOOjfmb4iTd4vW2rMJuXQ0LTkJNbYWuDqJMXIFcOQZb14I9s8bU/qmzsHOPR21cVtxmq+dsWWWIFoxD749SRLOPJ3HaWXS2VQ5tHQq2fir9J10OYSYOZJ3hL4xckzZkZkjFbzGEse+FXAIs8H0/kablE5MAACAASURBVIsrLgC+4/v+VCAbBEEncXxxDEAucDLAUF3Q833fv4Y4PrHASxhmWtJwhu2OAv4792cXOAP4wzDOG04X2375vv9K4K4gCFbmNt0KbAiCoMf3/fcA3wJuGOoaLS11OM7QU5RbW2UdpVLyPoqstXSvWs32b32X9nvuRzkWk9TFvCAntzSJJZdcbTAml1CdX3IkNxymdRxAWQVRdohk7RrTuLymRFyI0sTDbmXtjKI4mMtULpOinBrDW1qhjMGGJT1LVY7TWhOVjEMqFMponLpc787ubej7foF39PFkGSCsT2HTaVCqsoaUtagNy8B10AkPk/BAqziIc0KcZ+8kdeWb0FXynuyrb6DnrlvIrl+J7etGT52BnjqDaOcm6MlVME/UkTj9fKacfeAzy0ZC/s1UkndS7kh+H3aMJ0kEQdDr+/67gW/6vt8GPB8EwX2+738VaAe+DHwF+Krv+58AjgXeEgTBUKuCfhz4H+KcbkscRA1rAczhBE9vC4KgbFjN9/0vD+O84XSxDcn3/UuAS4D/l98WBEHJr53cD/zT/q7T0TF0x1RrayNth8lvjYcDeR9FXY8/TtuPf0T/8niGl3HjoAEql1IpVMo2g4KV3H9sVJ4TpdT/Z++9wyW56jvvzwlV1d03zJ2sGWkkjdJRBImMAQMG48Bre9d+vc5p7Xedc1xYG9vvmmUxtsG7fs16FzB4bRyWxYGwBAkjLGNACGUohVEYaXK6Mzd1V9U57x+nqnP37clzpfN5npFuV1c4Vc8N3/6F72+EeBJlQXcXuh4R1XRP4fYwuwIhBfFU0tNNJ7VClYXotih8LZYAqZTvzKtF4CJslpfdgCOKw6X0wjD2XXDOubYoRADLC2RfudvvCxBHw+cEa+X/lZ9UnbOdovU8I3/kPo596C8ovvrfDF0HL/lWeF4Tmoswtc4/8OUF5CN3Qd6CmTnydZtYOHD8nKXPws/MIOGZ9HKun8e5FmrnwqqgrG/+RN+2X+n6eh740ZM43xPAy40x0+XrBWPMtkmOnUQ8CWPMpeXXEthGb+fdKCYJsY2kLEp/BX4UzDZjzGVpmn7WGPO7aZpWgulq4JEJ1hIInBTZgQMs3n03+97+B7ilBS+G5HAH7x5KMbFaNKmaW+fFkGgHqKTyRpPxVNz2UorqEbI0d/Tbhsyda1/fizGdRNBX8qO06ungA1+npSsxFPtRLhTD035e1PWOiemcRw31nRo0kNTIWPc+Hydx1vYISbnnEYrWiveOGkac+H8V9Wnk1BT6sRS1+5jveJu7iNZ1r8Buvnz4OQKBwJljDTUPGGPWpWk6b4z56r7t4DXHt612jknE033AYToJiL3AW1c7aJIQW2lo9UZ8hfx3GGOyNE0/Zox5PvBXwJ3Ap4Ap4I/wgiw3xrwDH8W6CfjJCe4hEJiI5Ycf5qlffwP5gQO4wpZpuME5cuPwhd2iLSaqIbvd53DOobQkmRkuDmxh0TXf7TY4LFi2h+cOcDJlVFKg64lP3QmBLIf82rxoj1lpX1eKQdHT/f6EIXuhB59l+566a8BWFrwJ5ijx1Ifa/yjxlz+DKLJyPaCO7SO+5xOsvPL7z37x+JnCWeK9D6Ln90LRxMbTZJuuoNhw6erHBgKBSbmzdAP4C6DP/4SrJjnBJOLpTWmavv1kVwYThdgc3pLgP/bt80VgqGFJmqb//lTWEgisxuLdd/HUr/0qttkE6Vv4ZdVBdxKiRCca2SUSpJbY3LbTaBWq1vXjJ/Du3aX3knN2QDi1dxUCpOgZ9FvhGJ0K7L4HWauhYz/Xrvc6oj0Oxq/XISLvOTUumubEZLaQA4XoXffUY6UgFfTXPNkC9fg9qGP7QGny7Qa7+TIA1FMPtoVTN2rpGPqxL5Ff85IJVnf+SXbfRXxoV/u1ai2hl46yDEFABS5ozoFVwZnkmjRNnTHmN9M07fGCMsb8yCQnmEQ89VSqG2N+ELg4TdPfmXiZgcAFTLGwwO5f/QWaDz1Uihg1JPU2WIQ9jKjL8LLCezdJirwoC60FSmsEXjBIXTqDd9UzWWtPKtrlL+TrmAYiO0qi67F3Kl9uwux6outvhgc+hxziC+XXq0EU7fdcVPPlQ5lvnpWz67FTc6iVY0jhkDifUiwKXNZnEFqmHIUUnRqpPpxzfSlRh9r9FYqrnudfFhnJ5z6IPvREew+9+wGyq15Idu3Lx7pni9baaMYVrSX00cEuaWEzokO7gngKXNCci5qnM0UZuAF4onu7Meb7gREOx71MIp6+CvjLrov+qTFmrGtnILAWWP7Kgxx+73tY/OKd4CxiRKTHUxlfjpvK60ehDH2r9FFSsUYnfp+iVSC1RNejgVqq1WqrvK+TwNnquhEq0qVNgU+xucKW7uAdMRfd8Dyi7/pZ3ONfofjynSPDRUIKlCzrk7RG1KcpLrsel0xDfZpNr/5aDn/2dtTnPoQoI0ZCCITWWAQuy3wHXZL42XaF8/VWbhUbBeEtw6XW5FGnxT56+HM9wgnww2l33UV+8XW4xhx9vwfb2NnNY5/lOMTSMaL9jyBsRjG9iXzLlWettkOdOIAsWkPfk80T3nZgbX26DzybWJvfm99EV3YsTdP3GWPeB/zpageOFE/GmE/hPydebYy5sestxfka3BQInCbF8XmefvNvs3LP3VC155djS1aL9AghcAPzVfz/VCJpbGz4VNqIciSd9M6H03WNrkUj9x83cy5qxEglkZEeLfqGCDAZaZ8627wNcfVzYNe95Rt+fp3PG1psK0dN1ZGyPHe2gnzkLuy2K7Df8MOIuIZ87B7EEDFUddPJajQLQD3B6gR54giDM2oEKNUjGG1cw+64DgC1+370E/f4+3Gux4RT5E30018h2/k81IHHkMu9fSj5+ospLrlh6DNcDb03JXnyro6g2f8Q+cFdLF/3NaAG5+6dLjaZxiERw74hVLxW/zgFAhccxpj34H8RvbjPy1JxBmqefrP8/88C7+javgLcO/kyA4ELg6UHH+SpX/zpTvRDiVK4TP6JXkTSC6Qy/aRiRW0mxgnQUUSR5dgRJpVymJv4MEHWxTABpeqRN7JUCrmKf9kA84cR7/oPiOYSwjmsjhHCopK4p1tOaj101Ivcuwt33+2w7V+1Z9MN3BNAX/pQ5k3yjRfjWsuI1kpPBEpE0cCnMbt5B0iFfvhzxA9/1ou0MiqFc9D9jJ3DzW5i5fn/F9HDn0PN78dJhd14Ca3rXznSemEs2QrJU/cORIL08X3Eu++hdfkLTv6cq2CnN1FMb0IvDDq65Osm6p4OBM4bayltB/xj+f8dwKe7tq8An5nkBCPFU5qmnwYwxtybpunRU1xgIHBecUXB4T9/H4tf+BdajzzsW/mV6Kn1cU52Rqng2/eH1jcJ0ElZYC29pUDUl3JTiUbGfhZc3szbQRahZU/6DEAKf66iGD76RIguk00ACcm6KT9GxcFABKdzYDn41wsNm3VGpoiFQ4gkbp9fRICKBv2iRgwCBhAHStu3qXVw4sjwfSLtRUvXvQmtyV77A+h7Po5ePIrA4WwBWebFkBCgI1AaOT2Hfuiz6KceGIxudYkopxPyS3yEym24mNaLvxV55Cn04SdBSGRz6ZQG4kYHH0Vmw2ul1ImTsqs7KVYufQG1J7+AWjiEwGFVTD53Ma3tN65+cCBwHjnbJplnkjRN3wtgjLkjTdMeuyNjzNwk55ik5mmjMeZv8b/GvwFvIfBTaZo+fnLLDQTOLYv33M2e3/g1aHWiB0KKgSJpqSXOWVzhhZVOFPlKPlCeoxNFfa42ugtOC6TovKcSTbHiI1H9buDQGcgrVe+w4Pb5IuEtAMpal2S20T6P70wb7hiuk6inq00qRdHKIIrRcV9t1ZB1dTMs8iWW5ln6h3ejVuYhScD2FYkrhYpK7yghcHn5XpQQP34XeulIJ9CnFK60KRBRJ82n9j8E+8bVlwmckGQ7b8bNbKwWS5LeTrT/4bbgivc8SOviG2ld+aLe47Mm8e670aUQKqY30rr4Obha2eQ7ojYLGF/3dpq42jTL17wauXAAuXyCYvYi3CmIv0DgXLPGIk8ApGn6iDHmIrwbefXp9oz5PP0W8NvA95QjUX4YeDOrjEQJBM4X2b69HPrT/8HCpz/VHqEiZFedb9/fPhV5p+1sOW+7dkeNiCIrcAU+PRfJ0rpgUDg5a31kaUjRt6hF5M2sV4QIL9h86k2gowhrHUW1X9mR130toeREKTpV1TR1IaRATU8hbN55z3kLgurrUfjolPYdc2U3nV6Zp3h83ruIKwlKYoXAtTJf75R0PJWElF4cISm2XU38wCcHjTPLSNLJdBc6FbFyy+uxF13Z3qb3P0K0L+05v7A58dP3k2+8FDt3kd9oC+rpbegTB9v7qaWjqIXDLF3/OogS8k07sU/fj8wHC7iL6Q0Tr/NUsdNbsNMnPc0qEDh/rMGaPGPMjwI/AawHHgUumfTYSaTi42ma3oofxEuapvuBkMYLXHDkx47y9Bt/iSf/3fd74SQrx26Bir1YUZHyEZ9Sh0gty440STzlR6A469rdcVFdt8eijPQ6YoSjOGWkS/sBvkJLVOI77qRSqJqf66biiKgWk8zUiWqxX2NVqC38OJh+g8phbt4wOt0m8gwZRcgk9v/iqJP+GoGTClmvoeo1VBz5tdZrQw+RWqMadVS9PtgpqGPyG16OWjw8tMAcyhhav4gbs7Z8+zU9wglAH35y+EhAm6MPPtp+He1/uEc4Vailo8R7/Rgel0yTXXTtwKfpfGoD2Y7njlxXIBBYUzw/TdPnAh9I0/TVgAH+fpIDJ4k8bTPG1Ck/r5ejWsJ47cAFxfKD97P3t9/oR6kA1RDeYUaXQvjITmEtKpboRIEUYB2FGjSzBJ9ii+qjf1zGRU2kliTr6hTNjnO3rscDqTwhffccqkBGg91cAym0PuPL1ZDd4q+MJOGcN7frEy5uw0WIWg252FvTNDY6JGUnmgW43NdaFTufg33Oq5EP3j75YvuokpROSIpNO2hd/+ohO41OtYmuAnO5NLxOC0Auz7e/bl16C8X0JqLDj0ORYRvraW27fu24lQcC5xA3USzmguNw+f86QJqmthwhtyqTiKc/Ax4E6saYVwJbgBETOwOBc4vLcw6/5084/pEPIpxrG01aW6D7B+k61zPWJGpo4kbcJShAKklWFnpH9ciPUYkroTFmHWW6bRi1uQZKa5+eKyw2z0fWGskyDTb0GqWlQkVVUC6077qz1kJUg7w5eLCSg+m80tVbSFnOy/M36GY2YL/lp4k+9s7RNzwM5TsAOzcjsU5QXPNiAPKrXkT86J0IN6RAflQUTAhsVKdlXo5oLWLntmE37hi6bzG7hejQYwPbHZCv3955PcZmoP+9YsMOig07Ru4fCAQ8a8xhvOLGUtfsK2u7jzBhcGgS8fRF/FDfW/Af/v45TdPRH90CgXPE0r13c/Ctb8IuLaGUoMpCO2eJar2O3dA1Q62MQuhaNBBJEVL4+iblXb8rrLW4IRGpriOHbtW1CKU7P2a+Uy8am5KSsfeDcs53C+bLLZASVY/B+rojXBmp0gqhJThQSsElV8Ghp2ChE0FBCFQSD72WkxJhbVtYuaSOfcnr/dDd+iwszg89bvD2xYAgFEJAfRo3U36Qi2tkV9xC9OidPU/LSo2rT6Gai4PrE5L80psoLl292yy75Eb0kd3oY3t6tuebd1JsvqKz35ZriA48OmBD4KQm37Rz1esEAoFB1mLBOL52u8DPzf0FYCPwXZMcOIl4OgD8aNXaFwicbxb/+XYO/+V7sU/vRggGh+eiRtu4ltullqgRER6pJCLq81aKFLIR+9SRdWTLLVzhUDVNbbaBEAJbWIpWji2s932sxd4Us0wTIkqTx8LStgYfgop9t5z3S5KIslBcRXpwBlz52kfUBDJfQSqLjaN28buI9EjHcnfZDV6MLZ+A6TmseTFc4j942c07UId2Dx4jBCJpwMqin6U3dxGydQIhBkNzcmUBsXC03RGX3fBq8q1X+SG+2TLFzCaym78O0Vwk2vVF5LF9kK2A1NjZTRQXXU1x8XVD1z54McXyTV9P/NR9yOP7AUGxfjvZxTf0iFXXWEfzsucTP30fqrng7zWq09p2HcXc9hEnDwQC41hLVgVdfBT4H2ma/jHwlpM5cBLxdFu/cDLGmDRN05O5UCBwJjj83/8rC5/4EFiLkL3CybrR7t4V3pSSgahUzz5SECVR2+tJRpKo1msiqZMIhxuIKslGgox0WWdVFnz3WSO4yKf5bJYPtL3LWA+sTUoJXecYWXc0PYs6ccDXdNWSsV10AHZ2I/Zl3wq1xtD3i+tegTz0FOrgk521S0V+7UuYe+lrOHbPF7GNdbhNF1O/7d2QDZkvp2KfSuzCbdpB8xXf3bstqtF6zuvGrncilKZ12S2r7pZvvZp80+VEB3eBs2Sbdg6sMxAIPONplcKpjTFGpmm6yl+SCcWTMeYn8PNfqmKKXwN+6KSXGQicAtZa9r/5P5DdexdQFQ77aFCPX5MDhxtr0QN+tImu6ZF+PSpSqFiTr2Q+HRbrQRNJ6d3JhRTecRxACJ8K7Iry9NcZVesXQkASQW59GlGAjCJvgDkEMS4kXqXMtGjXXYlI41rZ6GOURDYa2NYSLqkPTyPGCdmrvhf78BcQR/aAiih2XIfbfjWyMUNx1fMBkEf3+gL0IZcrNl6Cq12gPkUqIrvInO9VBALPCNZo2u4jxpib0jS9r2vb24GfWe3AScTTbwP7gV/u2raeIJ4C54DWY4+w7w0/41NdXQzzW/I1TfSMT+knqkXt4b0WOyCghBJEjQQpJVEjxraK0VEqr4JKNeeQkeoVS6sUUEohkV0dfOM62dribUg0SUiBjKJ2PbuQvjjcRrrd8dbeN1LIOEZEETSPo297F3bdVvIrnkdx2XMGL6w0xRU3o+sNXy+29fLea68sUHvgVoTLO6NT8I/fzm6hdcOQrrhAIPCMY40WjP9b4NeNMQfxwSGB1zdnRDy9N03TH+/eYIz5uVNZZSAwCcXyMvve+DMUe54CfHu+0KJ3hMo4vyXhj5GxhIJ2jZCKVVs4ASitUImiyCzOFtjCEk0lXpgpidISF4+OUFXqrN21drq/PEZZD0iBiCMobFks7nrfK1OHbt1mmN/fFm2ycu8uC+SF9Pclot7omJrfj7zvNlZq07itncJqAL3ri8RP3INs+WLu4rG7yK58EWz2jt3R7ntRK8e9sEpq5fqsrwHbfg1uev3pPZNAILAmWKM1T08Br+p6LejM9R3LquKpXziV294+4cICgZNiZdfDHHzDz1A2xuGcaEeRhOxY+YwILLVFjIpV2fbfeU/FnRdSS+LppCeqZAtLUfowteuUqmDKsIiPqGqoymjLSU7tUPUIqbS/RmG9yLO9Q2+Fkqh6UgohgRMCG9cga4Kz7UJwN7cF+9Xfjr3r46h9j9At7PrtA4amEvMm+sn7yLrEkzr4BMmjn0fYzugVtXwc8dAd2CuuBjRyZaHreXSEHNAWXIFAIHCB8nVpmvYMsTTGTJRVmyTyFAicE5xzHPyNn++YWlJlgnwdk4wkRcuCGzPbTYCM5UCqTSVlfVQpcKJGPFiYraQXMrlrZ9y8aAGbZb1RIUFblDjrQJZdb90RKOdl1bCIlJ5p9JpklueyeeFdwoXwVgTdtVZlWlJrsJsuo2isx2YruLnNuKufjz7wKGLrxdhiGXV47/CHPKLrDkCu9IodvfehHuHU3q+1TPHIXbDjRdh4eLE5gI3rI98LBALPLNZizVO/cCq3TfQxOIinwHnFWcviJ/6B5bs+Ryt9AGGLgVohHz3x9UpK2/YMOit8eqhnZpwqZ8xV4kdKZCyJG97nqMgtFA6pR9gUSImNy1m8/uJ+kLCMcXnREUdKUnXmy0R7jyUYKqB67keAjKORc+qkVr5brxqs65xPuxWFP6f2dgVy6Rj5a74fV59GPfVlos9/ELlywh+DwM1txJ2YRxRe/Lgo8TPn7Ogicluf6d1QDM51q3DlsOVsx43eM6nPo6moTZNdctPI4wOBwDOLNZq2O2WCeAqcV4799z9g+Z9u8+NRcju6bkiWBpaxJmrE7UGyzllsViAjhe6b/1YhpE+/6SQilnLAabwfP1xX9BSptwfklrhSFAklejyUKl+lKofXsxrp5+PJJB59n/5iPdelWrO1nRRc1kS0lnFRTPTg7W3h5K/pEK0lsitvhuUF1NGnUGWBvXMRzglE38BbF9XI+wrG7dToeiW5Yas/rjHHynWvIt51J+r4AQCKdVtpXfECXL8YCwQCz1jWYuTpdDgl8WSM+d00TX959T0DgdE0H7yX5c9+2hcxC4FVpaljKRZsqzPGQ0pZWgb0d9lJVKR701t9VJGgqtan8noaiijFkBA4JQYjR+3dRHvdPduVGjCkrEwqpRoeberdediSRGd8SXk9t34rbmYj6vG7kUvHhp5KLhxGFs2eKJdfr4PpWbAFFAVFfT35VS/Ebb6s5/js8lvQBx9HLRzu2Z6vu4jk8utg3ke1ik2XsbzxUsTSUUDgGnOrdhqeFs4hmgsgFW5M2jAQCJw71mrkyRhzFXA58Clge5qmg87AQxgpnowxlvFjR4N4Cpw0zhbke59i8eN/R+tzt6OU9zByzqGV7vlDb7Uib2beyTtWQ4RTddJJLtz3uhwE3I+qJ6hI+VSZpd2pNoAUnbWWXWwqqdJxZVSsKCiygmiqgcsHDTGHMjLyJiGOENbhpKK46gX+umNSa/LEIWQc+WOr+5ASGUX+MlKBVripBnbTpYMniOus3PJ64ke/gDx+ACF85Eu7Jq1P/SXJzFaal7/ID8oVAjc10TzN00LNP0105HHkynFAUjTW09pyDa4+d9avHQgEnlkYY34Q+HXgceB24A+MMX+bpun/XO3YcZGnP0jT9BeNMT8L3A98ptz+CuCFp7XiwLOShY9+kOVP/x+KA3vbnWr9rtnWdjrIpJLoRGMLi0qGp+QqVrMK6O8wk1JisQg6juPRdA3VXWvkHMVyq0dACa06HlNSEk3VfYE3eEHVfR2tkJEDHCKJcc1WR0CVReZ9i0JN1RFat8fAkOc+0qIUUmusjslu+QbcpTcAUGy/FvfQ5xDZyuA9i859OyF83ZQefI76xEGix79I69qvHnyujXU0b3ot+sAj1HZ9DlHVTDWXiJuPIfIWK9e9ZuRzP5OIxcPE+x5EtovYLXrpMGLPfazs/CovBgOBwHlhjabtXoEfBPxHaZq2gP/bGPNHwKmLpzRNf7H88rlpmr6j661bjTHffjqrDTz7WPzEP7DwgfcihRubYvOiovNSKInucxI/WYQQyGjwB1uWESMQRNP1nu67Sti5WoRt5UipkPWYKIlxhaVotRCR7ggnutJr0Kl5kqId7XFaY1stnIgorn4+1BuoL93qR80kMXqq0TujT4HTyjuFV89MRbhLrm3v46bmyC+7Cf3InfQkI8vi8vZLKf1MuhHddvrEfkbHsEAf3IVwxeD2+b3I4/uxs1vHHH1miI493SWcOqjWAvrok+Qbd571NQQCgeGs0bTdvjRNrTE9kwZWHc0Ck9U8XW2MuTlN07sBjDHPA244+TUGnm0Ux4+x9H8+iD18gNaDdyOVd9W2hZ0s1QadcSOycvIeso8cbZopY41KovaIlXYJk4OilaGnfDv9KBdxKWV7n/b1lETVkra/k79OhFCqM7jXOZ+qg46QEgKVJFipyV/0jaAUDlAP/hOqngwvdhcCugrQXTLlb7jCWaTWiKlZaC52arSiaOQw4FNBZgMdvX59zqIWDp8T8SSK5uj38sHIWyAQOHesUYfxzcaY7wbmjDEvBF4HTFR/MIl4eiPwIWPMLP5P13Hgu051pYFnB837vsjxP3kbNP2wWCFFu2BaOMZ2u/VTFXvrRJM38wG/JRkpbG79tBQlkVqWDuNeNMmkV0hUIkXXEi+oJl9IewSJiCJEOd5FaN0WTu3zl5Efl+edaFTl/G1z5JP3Y3c+l+Lm1yBPHEAcfnLUVX3UqCj8yJPt1/TURcWPfp54zwPeDLTR8CnGEW6dVscgFXKIXUE+e9Ho+3YOJyPQPqVJ6SIO4JAUY7ryziROJ6Pfi0LheCBwPnFuTYqnXwXeAby2/PdRJhjNApM5jN9ujNkJXIv/7P+VMjcYCAzFZi2O/7f/jMgz32aP6xuWK/zf3hGjSHpQENVjZKwROKJ65F3AS49MFSlwIJNOJ135RcczaYhwqtZRsVrNlAN0PfERp3Jfm+c4mw/tuqvW4EWU8uNVqlSgtaj9u7A7n+v3m9kAY8STcw4bN7CX3kB+/Su63rDoQ48PXnOEeMovuxkX10ke+wKyy6ogn91Ka+eIMkbnqD3+eVSx3BFPSkORQ55RrNuKXbdt5NrPJNncpaiFg8i+IvkimSGfu+ScrCEQCDxzSNP0KPD9p3LsquLJGCOA7wG24qcNfxvw/lO5WOCZjcszlv/xwyz/3V8gbdF2sxZ9ufCqzd9HnwTxTILSlcO2JVtqtX2dktk6OvEGl7blIyY67v22dbi+WiGJjHXpAj5cOPWsBx9y7hdQlZeTA2QSoWpJz3mk1thx5xUCJyWqVusTjxK9/xHyA4/htuzEbroM9/jdIysG3PRGmq/8Xuh37C5yRGt58Jp9AsoJRb5lJ9nOF4BU2HUXofemyKJFMb2J7OIbvCAaQnT4MfSx3b1rEwKUJpvayMpVLx+x6jOPa8zR2nYj+sjjqOV5nJDYxnpaW0woFg8EzjOOtVcwbozZBvwh8Gr8Z+RPAT+bpumIEQ0dJknbvQ3YAswAbwW2GmPenKbpG059yYFnGksffB8r//gRXDbawRpA13RbSNi8QCVRrxhKIGokyEh6CwNcp+6pSoP10RYvUpCsm/LpQSXJl0fXyAw7hx9hV4oOQRm90qipThdeP3LEdvA/iTKOhs+Sc5b43ltpvvZHwJsg5wAAIABJREFUKLZfAzqGfHhAN9txw6BwAl88XpuGhd56HyElVtdoXnwDwlmKDTuwGy5uv29nt9Ca3TJy3T2XOHFguKgTAjuzefi6ziLFzFaK6S3e/VxIUKOffyAQOHes0YLx9wAfB96C/63/qnLb16924CTiSaRp+n3GmD8uZ7683Rjze6ex2MAzjKWP/A0rt/79+J3Ktnldi9rpOhmr9liTnl2rzJsU3krAOZ+aUxIrNFjrAyvWghDE03VkLUZq1R6pIgA5Vcfmgx1io6jSe0L7gvBqnWIVc0vB8LSfUMoXe4+63tK8F0wqwtVnEItHe4YCI6UvKt+wrRNJ6hn1Isi2Xo1cOEx/5Va+5QryK180/oYnYcy045OoFjuzCAFj6p8CgcC5Z42Kp/1pmv5+1+s7jTE3TnLgJOKp+m3e/Zty06QrCzyzcbZg5bbhwkkIgW5EKO3tAKwtx68I72Ekx9UYWXwRdHmeKiIkpfSiQoCqxehaPLKrTGjv9l2l+7qjWG2kAAeiFvkRJlHkZ9aVPk/+wEGRIOIIEF7sOOcXLGS7200ohUjiXjHUfw6bIxaP4dZtwW3YjmieGNinmNlAdOxJ1JN3grPY6Y20LnkOdsZHjrJLfd1UtP8hxPIJXFwn33QZrStfOvK6J0MxvYlo/ulhqx9fZB4IBAIXPoeMMTNpmp4AMMbMAPvKr/9dmqZ/MurAScTTkjHmT/y5zC8DXwt8/gwsOrCGcVkLl2Us3/pBZN4EXVoQdBFPxz2O4aq7LkX6uqdRwYvVPsNIrYhGtPf7HSRClp13SmKzHBFHiMLhCt8BJ7RCxnG7sLwzL8/higK74lNDbmoO1Vz0AkkpVBL3RKN8dMuhomiwbqrb3bsPFzdw9VkAWtd8FWLhCOrEwc55kylkfQp1cFfnGR5ZQp04yNJN34irr/PRp8tu9iKqjGJxBi0Kss1Xok7sJzq+r7NuQG27kmL23BSKBwKBC581Gnl6JbDbGPNA+fp64EFjzKfw5pmnJZ7eBPwQsB54MfCXaZq+e5JVGWNeC3wrcABwaZr+1pB9/g3wn/BFWh9a7VhjzAZ8fnJXeXNvSNN0/yTrCZw+xeH9ND/8fopdX8EtnQBnfccbILXE5paiVaBrvaNW+pG69F0akVZTUwlSCIpWPhD5EUqg66sN1+24a8skRtVrfv8yBdiDdW3hBGVBu9bYK64me85rYf1WGrvvYvmef0bniwNpPKkVVmpwxWDqTghfVD6wPkGx/SqIa4A3u1x56Xegn7wHuXAEF9ehPkPtqS8NPrtshdpDn2b5ud/ccz6is5DKEpKVK76K4uAu1OIhEIJ85iLmzA1waOHMXy8QCKxJ1qh4ehL4xSHbBfDz4w6cRDw9rxRL7wYwxnyzMeZ1aZp+fNxBxpgG8E7ghjRNm8aYDxhjXpOm6a1d++wEDgK7T+LYNwOfTNP0r40x34QvaP++Ce4jcJos3fZ3FB/7a5yzCDcoCIQQXkAV1tc2jcH7Pkmsdb3z4wREjVq7w05qjS0KijxHColuJAipqkKj0ReoSoSiaEDE+bl1fcf2DwBWCnX4KbI4BiFInv8qFuUU8q5/GH4/SpVpO3ykyRblaUubhq4OOJc0KLbspHXT1/qDsxXiPQ8il+dxKiLfcQPF+ouJd/3LyNtTi0cRKwu+YPxsIyTZlqvIuKqzaW0a4gUCgbPEGvV5+hKg0jS9rf8NY8yj4w6cRDz9APDFrte344XNWPEEvBR4Ik3TquXpDuD1QFs8pWn6GPCYMeZNJ3Hs64Hf6dr+3gnuIXAa2KzF0lt+DrdwDIEoB/kOT0V5F20fVRqVkpOR9uNSbGlwaf2QXhlrX8PUFdkRUqB0RDRVQ8jeMS1Vem2oiBIClBwa/RJS4lzRu77ucwiBjGOcc9Q/9W7s5ktpbb8Meez48BuKY6TSXZNZytRglvkoVq3eTgfmM1tZueUbIJnyl1o5Qf0rt6GWjrVPFx1+guYlzwFdG349fLdedOgxWpfcNHKfQCAQOFeci8jTatmsctDvjwFVC/K70jT9szGn/H+Avxz2Rpqmu4dtrxgpnowxv1F++aKur8GX8U7iSLcF6K6APV5um4Rxx3a/dxxYb4zRaZoO9rCXrF/fQI9JIQFs3jwz4dKeHVTPIzu4nz2/+8uwMN9TbC2k7I0YdaEiXbpiD39f17xhpC2jM1JKRCyJ6iPEgvXRm2EpMUr37QGkF3kj6fZC6q8R6k7fKYU6tpfi2F5i57wfkrMQlRYE1vn6qp4mOO+D5GzpRN51vljDzCWdQuvWXZ/Ddgkn8IXktQMp+mX/mvzpe0bUTAmmZhusO4/ft+FnppfwPAYJz6SX8DxOnUmyWSXfmabp4xOe9p+AngiTMeYH0jRdNSgzLvIkuv7f/VdrCfipCRZ1AO8NVTFbbpuEccdW7x0rtx8dJ5wAjh4dPperYvPmGQ4eHOx0erZSPY/iwNOs/Pk7cPPHhu84ws1axdpn1aQYSI9JrVBx1J7/ZvNSGNjVXL5HGFH2i6fS0XvVuW7VsqT0c+26r1sdq1SvuaUQOOEQSZfppRgeXhNCIOJ4YHtL1Th+8ATkTUTWpH5oL0Nl/coiC7seQm64jPjQY/1nxybTHK1fAufp+zb8zPQSnscg4Zn0cq6fx7kWaucg8rRqNqvkp4wx+4AG8F/TND0y5pwngM8YY/4RqM77jUyQ0RopnroKtD+apumpdNd9FrjMGJOUN/sy4P8rC77zNE1H5EBGH1u+92H8Q9xdbv/wKawtsArZR99P9vlP4pZHD1ztthCokJFGKoUritJWAGwZOfHWBR2XbhVHCG1xeTH+B69/ZEv3W7UEOTMNOMiyti0BeGuCUYJMKImo13ytUjXE11ofRdK6M1ql/7houOnlJDihyDbvpPboHaj5/X7Q7bCoWWeRNK96OTJvoY7taXtYWZ3Q3HHT2SkQDwQCgVPgHIinSbJZnwY+nKbpQWPMNwJ/A7xmzDlfC7yv/Fr0/X8sk9Q8Pd8Y89Npmn4fgDHmncDvp2n60LiD0jRdMsb8OPCHxpiDwL1pmt5qjHkrcAR4Szn65Y3AZcB3GGOyNE0/NurY8tRvAP6zMeYa4Erglya50cDkLH7hM+T/8rGxHkXQGV8ipCg71BSqMoWU3vNICIGU5WDfqYSo5lNz1lpcliOlxEW+u22Uk7XQivYwuy7UzBRS687mSCNrCcXKCuAHEfeLOwC0Rk01ekSQiyIv+LrHvAyLgk0onBxQTG9ELc8jipyiMUd28XVES4f7fJOGR66KZJps8xWgNMvXvxZ96HHUiQM4FZFtucrbFAQCgcAFwjkoGF81m1XWUVfcBvy9MUalaTrqU+ovpWn6we4NxpiPTbKYScTT64B/2/X6TfgxLT+w2oFpmn4C+ETftl/p+toB/7H8t+qx5fYj+CKvwFli4Y5bQeDFh6Usyh7crxIXUWOwVkkIgYx8ig5ANWo+PebfRAmNVRK73ETGESqOsEWBy4r2PkLJnqG73VEkWUs6wqlnrp1C1eu4VtZjP4CSvksviVF68Nu+qm9qC0Y3ImrV35UnGHg2Dsi2GZrXfw1i5QSitYyd2YRcnif58if7LizLIzonsTqhdclzOvPmhCTffAX55isG1h0IBALPElbNZhlj/hPw62Upz9XAY2OEE/3CqeSFwOhW55JJxFNaTh6uXuw3xkxauxRYA7isSf6hP8M+9mVYWQBbptyUREtJtlyU9U148SA7g311I0E3ahQrTVzREQBCCW88CchYt+uKhOp0zAlZCpqyc08q5U0lKUezKOWLzl1ZlK2UX4Z1ZTSK4ak1KRH1uncBd87PmFPKz8YDGDIfr32uqggc58fA9BWqO6l6x5KIUj25zuvskhtpXvNyEAJXn20bYcrFwwjX93Nc2hgUMqKYuwSnI7KtV4fIUiAQWFPYs5y2mySbhXcH/2NjzGPATaxiY2SMuRb4fbzQUviPw+uB/7LaeiYRTzuNMTemaXp/ebGbgMsnOC6wBsjTuyn+93+DvFWOTvEpNu/QLXDKUYunQVaRKNdO09mi8IJGSkSjhiusFztS9I5eKWuWuoUTVL5QClfQLjxvCyul/VDdEetete6oyySzqhUaVeDeg1QILSmmNlDUZxDNRW8LUJ+iGc+Qbb+Wxn0fRRZdA5Crc0tJ0dhA8+qXDRV1xfQmnNQI2yfehMBNzdG86syMVAkEAoFzzbmwKpggm/WOkzzlrwO/Afw48Nv4EqLvnOTAScTTm/F5w034z9eHgH99kgsMXIDk//Ix7G0fQFSF0n1/8Cuh5F+UdU2qs49UqivgUtYmlRGhthGlEKhabfT8ucpuoJoRB752KRotnNrnV3JwVl17cX3Xc96MU0iJGyWi4gTKYnFRSxAzc4haglo+BrSQkYC4RvOql5E8cgeyyKub8NGjuEHzqhePrItyjfXksxcRHXuqdzuCbMPlY+42EAgELmzWqEnmE2ma3mmMOZGm6RPAE8aYb5nkwFXFU5qm95TF2deWm76ymjVA4MLHzh/G3vFRX+PTXRs0ir4aIBnH7VScA5+5sgU2898aXqQ4knUzyMi7hA+4eld0Rbtk3PFFGlmwXppnOED01yBVqCEGAN2+Tt1dblGEqDV6xq6o1iKqsggoBV50bA9yZYGl678OV59F70uRi74LNl+/nezyF4Ie76y+csVLcE98EX18HyJrYmszZJt2km+9euxxgUAgcCGzRsezXG6MmQKmjDH/Cp/+e8UkB64qnsqOuO8FtgJvB74deP+przVwvnHWYj//SVj2s8lGD9f10aT2/LlyP1UVa5d00mIKGUXkyyugBFrH7bqndm1QP1ohtUIoXfo/gc0zyIt2x15b9NRqyFoCrVbn+Ko+qbqGlKD18EhXFPtoVZ776JO1FI05tBquvzoPrLNutXKceH9KsW4rbm4zxYZttDbuhGi0G3gPKqJ5xUtoFhkib/kZduPMPAOBQCBwtvg7vFj6PeBvgQ3Az01y4CRpu7fhvRRm8F12W40xb07T9A2nttbA+cTeewd84ZO4g3sAfKptRERI4GuSbJny8gKJ3sG4WrXdv51zCOfQwgsJVev4EEnp59j1CJGpBqI70kSpf6IIZGkzUHlExRGyNJ20UeQjR9Z2PKDqDW974Bxi2OgYpZGlTYLTESJr4QqLveQ6xL4vn9Qz1EceIz70SLtwPDq8i+a2G8k3XDb5SVSEU+OjVIFAILBWWItpuzRN/6rr5bUAxpgrJzl2EvEk0jT9PmPMH5fWAm83xvzeKawzcJ6xj9wLt/412MwP8LUWoQRulHgqbQKE8sXjsiwib4sdrfwcumqfqpZIK8hzhJLQNaKl6pBzhUXGETIZdOCG0nxTKaRzXek30U4bSqWgy8NJSNkWVu25ct0pP62hVu89v44optd37ABOAtVa7knPyWyFeO8D5Ou2QxBEgUDgWchaTNsZYxTwNfjMWpUC+F68RdNYJvnLUf0V6v4Lu+lkFhi4QHjgX6DI2kLHOYdSisIyMIdOKImMvHCpPJB8JKhT+yTKNnsR6Z7okZQSJ3z6jMKn2EQco5K43QE3ai6eP4FCRBE0mz2+S/0eS+1ryu5BwhKRTOFEObal7OjrR0iJm9tCvm478Z4HhkerOhdqf+nA2yv0obJlosOPkW25ZvR5AoFA4BnKWow8AR/Cm20+ClSFsJPM7p1IPC0ZY/4EMMaYXwa+FjiVcS2B88nRA4h9u3Bdc9wqB24VKVykcLkFHKJs1+/2YwJXFmqXqbG2/cCIgb3V9iTB5RmySzitipRegNVquCzrKu4e5vitetOIceJn0tGVXnS9JpQVtjaDnbuIbMOlxIcfH72e9v15J/RR3XTCjhm1EggEAs9gxs+juGCZSdP0Zd0bjDFfM8mBk4inNwE/hDeOejHwV8C7T3aFgfPE04/CR96FaC0jhcAlcTmQt+iNFpWpsFEIrRFaIRw+3VZZC4yotBalqabUGhfpk5oHJ+K47fY9UMxedtlV9gBSKR95yjKfSht2DyOsCWTTF8w3r3kF7qk51PxeRNb00aVsxddx6whsgbBFeQ/D79dJTbZu+8T3GAgEAoHzzieNMVemafpo17Zr8KNdxjKJVYEzxrwPH21yflO6itNg4ILgobsQt/65b+fvM4yUkfC2AmVUxznnDSut7Q3SiNKWQEpEHKEa9VI+OIpma9RotvLYMjp1MrnwKPIF49AZPNwnfLwzeSnGlPYCZ0gqbSxKoxcP0syboBNaO54LO54LgDyxn9pTX4IuN3BnC1yriYsboCJUszOf0gHZ+h3BFTwQCDxrWUtpu9KBvBqY+obSsbxJx2H8naudYxKrglfgrQlmyxMfM8Z8Z5qmd5zG2gNnG2sRn/nf3gBz2AiTssi7PThXgKsiOd0o1W77l7WkUxQOyDjq2BgMoRNtGlRYojLGrOwIqmvVG92LHPRkKq/v+o09x0TNyguWkTJ8UbfWyLyJXDmBne50BeIc8d77h4xRUbjaFM0dL8DG00QHH0Itz+OUppi9iGxjmDsXCASevayxgvE7gDcO2S6A35zkBJOk7X4H+OY0Te8CMMa8AD8L5qsnW2PgnHL0AOLBOxCP3Y8omr7GqV+7VN1xANYRzU57c0opKZotbCvD5XnbggBZuoT3CRQhROkoPiQtpn0RuSuvgbADqTuhI8TUFICvbWLIIN5u8SRKd8wo9nVNwsGkn3aEKAWW8IXsgNU1bG22Z7do3wPIfGXoKZxOKKY3gxC0Lrl5suuOoy1c19QvnUAgEBhgLUWegB9J03ToL3pjzA9NcoJJxNOXK+EEUFqZ3z/hAgPnkqcfQd36Z75uxzlkpL2XUdYxhFe1BFnWIDlr/dDc0t0bQCW+K84BrjxOJnGvqOmKPvl5eLJtOlm5hXeKzQVI7SNFReFFT2lkSZx0zlum6ojizvnzrDMUuIpClcKpLThc+z89tMfGVOuthFuXgMvntoPusktwDrV4aPTnp3bh+Wn+kshXUMf3IFqLvv4snsLObIO4sfqxgUAgEDhdrionp3wkTdMVY8yrgZ8FduNn3R1d7QSTiKdHjTGvBP65fP1S4MsAxpi3pWn6S6e09MAZRTx6N+ozf+Nb7qVAINpdb+RejKiaF0btY6TsiAtVprVKzycBiH7R1D5QQFI6aue+bkpINVgUrrWvYSotDShNLKuapp5TKuWFUfc5lIJm03e4Kd0boRF+zhxKQZFDq2NrYKVm5eqXI1aOoxePIvKmt2iwOTJvYuM6xbptNHfcAs4hl4+iFg/5AveixSjsmXADtwXq8C5kvty5zZVjiHyZYqNZdbxLIBAIXIissbTdW4B7gY8YY9YDHwT+qHzvv+C9nsYyiXh6S/n/ng/zxph3lNuCeDrfLM6jPvMBhBvsThNC+NlyWe5FyDC6Z75hR8+gAy+GaknbBsA550uJnPOpt6rGSqmeES7gu+hGzqvT0aAFgJS4Wh2ra8gq7efKCFYlqKpjdQTW4ooc25hDLx4EAfnGHd75W0jfNZc3cToGqX1904EHUSf2e7dw5/z5GT5KJts4kfHsWOTCwR7h1N6eN3GL+7HrJrIYCQQCgQuKcX82LkCOVFNSjDHfB3w+TdM3lq/fM8kJJhFPvz8qumSM+YNJVxo4e8jP/C+EK7ydAHhzyO73lUTIaLxdgPMpNjdqBh14/6V6rec8QggfELKlOBpFveHroPLcR4q66U6rMfiWUCBEWW8lSmuCYftLCTJGYpGLBwHQCwdRy0dpXnyLL/qOG5C30PNPIJaPopYOdz4vlSlIJKXI6zwHseFi7OxFw+8tb/nOPF1bvX6pGF5P5c/THH9sIBAIXKCsscjTia6vvx74XyPeG8kk4ul9/RuMMd+WpukH0jT9+UkuEji7yCN72nVMUP7J7xNQ7S65MUOAyx3L133ml1IgasloATZGc5HUOlEvpcAWQ32XRnFyP5KDe6sT+1En9lHMbkMd34M+8hjSZuXuVcdh+aMvpR9XozTCWZxUFI1NTF/7YhaO9Ymb1gKyql3C4aIGdnoL1DeMXp4c8yM37r1AIBC4gFljBeObjTEJ3k38dcCPd7138SQnmOS39R8aY74pTdMTAMaYF+JTeR84ycUGziS2QD12N+LoPqTNe6NBlQ1An0Cx1nq/pv5z9QklUa8j63VvCZBlOGf90J9xUZV2AXefKKqKw7v3i2IffWpbFGifLhPDx6gMve4oITjMlgFQi4cpGht6hdOwdQsBSpNNb6OY3oyLp3Bxg9koxtuAlNgCdewJX09VnSpbQhzbTaESiKcG1wbYqc3IpcMI2xt9c0JhG2HqUSAQCJwD3gs8AcwAb0nT9IAx5uZy+2cnOcEk4ulh/DDgvwJeBvwgsOeUlhs4M7SWiW9/P+rI0wA42SsYvIWA7qTvytl0sl5D2K7apKrLrut4WauhqiG6SuGS0gPJWVyr1Z5rN4CQnaJz50BHiFGhKCE6hdFSgdbk+JSj6q4HEgKrtN/HOV/TVb03RDw5JE4qrFA4rSjzb4jcz7jTx/f0Cqfu9XTZLTgExexWbGPj8PUDYvFgj3Bqb3cFYukQboR4QicU6y5FntiDyFcQlJYJ01shGXFMIBAIXOCcRDLhvJOm6YeNMZcCtTRNj5fb7gaeO+k5JhFPvwFsBm4HjgHPBxZOfrmBM4W+88Nt4YTS+Mm+fS7copzDFkUdfyaty/RZvWdfm2WQZYg4RlZddOUMty5ZBTWFa46oyxFld18laLT2omyMiaar1g+4qTlsFMPx/aWxJxDXO/VNzuGcxWVNpHNYIQEFwoFQFI05ivoc6vgeiJIuYaVwUlPoZOzwXysETtdw0os1sXIc4pleK4NuxnTliSIba7zuGusp6nP+Glhcbd3pd/EFAoHAecSurZon0jRtAaN/ka/CJOLpH4Ep4MeAFHgrkADfc6oXDZweek/qv5DKG1H2u3BXlJ5L7ZdKDY0aSa2xWqPipH3cKFdyarXS0qAo59sNXgepOtGlsguuW9w5gFqjM1bFFqjWAtgIalP9F+1ak4KoRlZbz8qlzwOddCJdUoK1yOb8oDu4EMjmcfK5y9HzTw1ExCwCG0/1CBi5fATyFYrNZriwUcngtur+1JjC+a41hXEugUDgmcIaq3k6bSYRT/PAK9M03QdgjPkJ4O/O6qoCw3EWfc/HfWQGOrPjtB5a41S5fLf3HVWzJATSuU5Krn/fykZAiM64l2qsSqsFOO+5JJX/Os985KnbAsFavAmAgKQOcZf4qObS9afihqzXSUm28TIvnPruSxStnnl03cjWAsR1iqlN3sagCxs1hgokmS1hFw7iZrYOrmNqM3bpMLKve85JjQu1S4FA4FnGWkrbnQkmEU8/UQkngNKN8yfP4poCQxDHD5Lc/THEsb2dbZVoEALi2AuoyuW7P8rkJnDGHlaEHUUdPyXw3XLdxdVJ4lNb3ZEnHfn3rPVt/FC6g9dxSiCGDPH1zXpudE1V134iG/RJAnBS+Y61vmJsf6DCSUW25Xrc/G7k0lHAYuNprHOo1vDuVJGvDE/BSYldfzmc6DiFu7jha5eCU3ggEAg8o5lEPO02xrwXXyjzQ/i5dr92VlcVGCC+/1bU/D5fRF1GcpxSyNgLF1EKJ9dqdURQ19BfotgbW9rByIyQyoukMvqEc11jTYYM3O0WN2qIuWVXtMsJ6WuxVeSF1mofT0oX8lHyySGwjfXD31QRNlmHWj488JatzUGZTsvnLoW5SzuXPPr46Mz3sPuviBvYjVd5seacfxaBQCDwLGSN+TydNpNUqb4VXyzeTNN0EXhnuS1wjhBH96GOdDU4RhFyehrVaCDLgnAZRcgkQTYaUKshN2xAbNiAmJ1FJAkiSbxAGnDx9t1uIk4QjSn/r+qwG2UT0HP8ePsCF9dwU3M9tUxj5VPXNd0QoeWkQqzMjxRh2cYrsfFM+xoOsMkM2cYrRl7SNjbihvwoOKmxU5vHrbZcsw7CKRAIPKux7vT/rSUmiTw9nabpu4wxLwBI0/RLxphjZ3ldgRKxNE/y5dt8p1g19kSqTgddz84CUauh+tN5pfM4zkGcdOqjqkJv63w6rjyHnyNnccKPXRlae0SZBFwtG9gfuemOiPWdz1WF5uVrKzVCuLLGS2C1xkU11MJeWDmGm9qCnd3eu76oRmv7zciFg4h8Cafr3rhynAhMZrDrLkYu7Pd1U5T2ATPbOrVVgUAgEBhJKBgfpDK7cQDGmCng9Id8BVbHOZL7P4FaOAxx7MevCDl8PpzW/l9/nZOtZsJ1jRrpjj4550enSNmb0pPSF4EXg75IDp+Ga225hujQoz0xGy+CNGC96Omul+qyIbeInq43J2VbwFmlynSg8udzzo+NKYWYoJwFd8JH4+y6PkNYIbAzWwaf0Rjs9BZsYyNi+ah3Ha/PBfuAQCAQCAxlEvH0SWPM/UBijPkw8ALgp8/usgIAav/DqPl9viZJCt+pNiqC0i+coNOJ1o4eiXLwbRdRDHHcsR8ocUojosgLmqzVdZyPfhHXaG27Hqcjkv1f8WaPUQ0bJe2icgd+xEkpQoTNEXmOjRuIouUjW93dgFTeT30F6EPv2WfYxfIRmN12ZoSOVLip0CkXCAQCJ0votusjTdO/McbcA3wt/kP/L6Rpmp71lQWQi/M+I6akjzhV9UBKlZ1sZVfZMOEEXlDEMVAmlMtCc7KuDrjKTVwIrE5AgLRFZ6SKlJDUynl0tNdgdQ10TLbtBlw8RXToYb+uLjEk8GNHKt8n5zROO4raelRr3o9osXk76+cjWnrkkGC69qtyhSJv+oLtSbyVAoFAIHBWWGsmmafLRJNI0zR9CHjoLK8l0Ied3oBTGqkiX5hdRY9wHaGSZcMlf1wra5eGfENHMWTNjqVASXbRNdhkitrx3biFeaCrnKmrdsl30LlyHp0k33g5onUcvTTY5SYoC7/LKJgTpRcUgNI4IXFVVKtq6l4VAAAgAElEQVSr5qmbbrHkX4tOpEnFYaBuIBAInGdC5OkMYox5LfCtwAHApWn6W33v14C3AU8DV+MH9D1kjHkV8EdA5Wa4BfjrNE1/0xjzTuDartP8dJqm953N+zhfFJt3QlQDbCmWZMecsvqX595dvLuwO4o7s+OGUY5e6U7hOamRzXmi5YNtB3CXZz2RISiFjNS+gN0Wfp4dtAuth9NVb4XFSo2klENS0t/02e6UkxEuqmNVjMyWfKqvEk7lvdow2iQQCATOO6Fg/AxhjGngbQ1uSNO0aYz5gDHmNWma3tq1288BT6Zp+lZjzE3Au4BX4AcPf2+apl8qz/Uu4D3lMfvSNP2xs7XuC4oi63TByd6UWHv8SVHgdAyRQmRlcfckkRgh2irFISgacyjbJYCkxCmNEwJhizIFV45IkRIrdc91XFSH5qDRZH/UyN9XE6tqyGJlUJgBTmhs1CC/6KZ2Cq9wFnX0ccTKPMLmOBlh63PYuR2r32sgEAgEAmeQsxl5einwRJqm1STZO4DXA93i6fXAGwDSNL3PGPNcY8xsmSYEwBizFUjSNH2i3DRjjHkjkAOLwDvTNB1iKf0MQCkvjIrmiJomH4Wx9WkUhRc2Rb66NxPeFiCfvQhsgVUKlXfGjFQdc07H+CJzhygyZOEfsxMSG9fLWiMf4cpnt6OWjiLsYHde93pc+d9CRriohlw5jsCW59VtYWgbc31F45JiwxX+/vIVH5EL6bpAIBC4IFhrPk2ny9n867MF6A5FHC+3TbLP8a5tP4GPYFX8OXBvmqa5MeatwL8H/t9xC1m/voHWY5yigc2bZ8a+f75obb0Uu/eR4W8KgYsTpNaQFz5KpRSjjJccviMO5U0xZS3GrSyinPXRJAsSi1VlVKlb9EhJgURgcVGClIKp47toXPOCco8ZspmYbO8u7NJxRGkzQNYRfg6wKvEDjQE1NUPjmltYfvLL2BNH/R4qIprbzOyl1/oi+QuIC/V75HwRnkcv4XkMEp5JL8/k5xFqns4cB4Du75TZctvE+xhjEuAFaZq+qdqWpuldXfvfBvwqq4ino0eXxi508+YZDh4cPtvsvLP9eUwdfBI5bF4blJ12/V6VrtzQG/FxOsHVp9qvWVnsnKcc9ltYN7xwuzLc7LJLyE8c7X1uRQL1i6C2EaIZcBZ59HFUvgQIbOndVJEtLXH0eA5zV0N9EZEv45IZWjph8dAip4Jzlqy5hLUFSEEUNVDq9L/NL+jvkfNAeB69hOcxSHgmvZzr53GuhVoYz3Lm+CxwWSmAAF4GfNgYs8EYM1tu+zA+vUdZ83RPmqbdUafvBt7ffVJjzO92vbwaGBGWWXuIbIV435eJ99yHPrrbS/koId9w6agjcFXHnI5wXbaTDod1zs+CEwqb1LH1qRHnqU4nSiuCCb8tuj9qLB+DI48gFvcjlo7A/BNwfDdWKoqo7iNepXCyCDIVk6mIYvEQtsggmfIeS6fh6F0UOUuLR2i1FsnzFfLWMsuLR8hawwcJBwKBQODMEMaznCHSNF0yxvw48IfGmIP4VNutZartCPAW4B3A24wx/wG4CvjhvtN8O/Atfds2G2PeAiwBBviFs3UP5xJ17GmSvfeiMl975IDi6BMsX/YSso070cf3IvJWaWQpcEIghcDFUwjb8sIk8h103hpAkm26ktb2m1BHnyQ+8uhkC/GW3hPVTVldeivZAhb2I7qiY23vJuG7MCpZVwhFrmsdgbYyj2stwNQWZNzoXYqz5K0lnHMonaD0eC+nrLmIGxh87Gi1FtFRrWPIGQgEAoHAaXBWK27TNP0E8Im+bb/S9fUy8JNjjv/GIdt+8Awu8cLAFiT7HmgLJ/DiQy8cJN5zL7J5ApI6Lq7RTtA5S+EEK9tuorbvPmTRavsoubiGVTFOCuSJfawyircHIWXHl2noDp36pXzd5X7b8ohC8RInFNYV+ELxeDCyZQvs8tEe8ZRny2Qrx9tiKG+eQEV14vrcSBFUjLBLcLYgz1aI4vrINQYCgUDg1DkXNU+r2R917fc9wP/k/2/v3qMsO8s6j3/35VyqqqsqfU0gdyB5TCSgIMzEKEYD3jKOAi5Q0AUjrEEHMRchEEBMJIQYYhSWYJClZlyCzpqFLi/BwQwGHWM0EO5InlzIPWm6O92drq6uOpe93/lj7+o6VXWquqpPnVNVXb/PWmd1nX077969T/XT7/vs54VRdz/cj7asr4zcTSrd/zBJs3uOTzqxm6RV5mxFHTWO4oS8klI59CitkW1k1ZGit2pojLw2AmmFpPEMlf0PEjUnyePudZ/yeT/nFD0+eWW4LGhZPJmXxxVyiiTwLKnR2n4uYUs57eH8KV/mi2NCnJJHlWLy3y5Ce5rW1EQxj13IaU4dWtCLlLWmaDWOLxdKRET6p7P84PG+ltJR/ugKd78GeIGZXdJlu/OA8/twinPoWe91ID34xKLrojybN7luxzogyhpEQFYZIkurxEm8YJtk+gBZbYRo6uCclL48isiSOlm7QajUi2G4KCFOU7KhHUTVEWgVSdyktSJICvnCEgG1UcLk3jkT/R79jLIcZjxTHH2JobNmY4JW1iBJKhDmD7+Vx2tPA1u6rkuSKu2OkgtHr0EUk1bqi36uiIj0Ju9/kcxjlj8qA6yrgLdQlkHqF/U8rQNR68iiA2t5nJKlFbJKnaxSZW4fz+zNGofmonneRZDVpF0dJotTsjilldZo1cYISUI2NE5eGy5qNsUxeZ7D5B5Ca3JuEncUd6+tVBmCoZMWnENORCut00rrZFEClSHyRRqZU/SohaxF1loYAB21xH9PKrUR4gU9WxGV2ojynURENrbllD/6APB+d19qyotVoZ6ntZZlRARCnC6YCqWdVMmHhomi2dIBIa2StRrE7TZZZagYwQvZsrKa8rRGlg7NViiH2Xnl5j1mGgH55D7yLCOqn0R8rHyh0WdDUic7sg9CRohi2nH16BN2WWWYvL6VbOoAhOacqD0Hss5q5WHxKSajZPFpZ5IkpT68lVazKFUQRRGVytAxE81FRKQ3A8h5OlZpo9OBrcBrzGxm8ZVm9hl3/+JqN0bB0xpLDjw8W2ogiyDPymKSKWFotCgU2dlrEsVQqdNOA6RVQgjkeTm8FwIhKgOfmbpKQJS3yeN0tkbT/OPNc/Q7EHKy5iS0pojrYyTD2xfvwYkiQhm4wMIcqBByQtYsKptTIw5ZUXCTmDxKCPHcdiRpnWzeEFwUJ6S1pcstxHFCrX7iFqITEVmPBhA8HS1/VA7dXQR8zMy2AW13fwx448zGZvZB4OZ+JYwreFpjydQz5JUaIYqJQigf948IlbK3ZIlpWWZ+LhK7ZwOWVlwhT2uzBSlnsvGOkXME0I5T8igtgpmy5AFRRN48TAiBdGTHcQ+BHa0YHsdlLlR3cVKhMnRSkejebkDIiZIKaW2kyIcSEZF1pd91mpZZ/ggz20mR8wRwlZl93N0XTyw+Tgqe1lK7AaFBqBQ5RUWJpQqUE/EuJSLM9hBFMSGpFjWeiIqClJ09SkeDnaXv7nackiW1jgmI564PrUny5hBJrXvCdhTFxGm1TOqety6pktZHybLGgqfo5rYqKnOXYqr1Ueb20oqIyHoU+p8wfszyR+X7vcB15atvlDC+hpJDjy98Qq0sQ3CsIL4zKyhECc1TX0R7xzlk9bHuFcKX6C0KFAnbeVQ5Zs9UaC9drTupn7QwqTyKSerjxHFCtX7S3LylKCaKK8RJjbRSpz68jbSiekwiIrJ+qedpDUWL1HYqApiYPIRiKG9eQJNTBEwzS/PhrZDWyIa3E9pN4sbBxXuuQr4guMqilHZttMib6pKvtBJxpUZly8lkjQmydkYzSghxhSSPqWcZaaVGPd1RTMkScuK0pifhREQ2OE0MLAO0dNCQp1XIA3GYfQovj+IinylAyNuE+jjt8TNpH9oNZa9Qlg4RhYw0a875hEBMO0ogjohDDuW8d1lShTLX6pgtTo/dKxQnKa3KFibbU8UXKstpZU2arRZb6nWqlYqegBMROYFstLnpeqXgaQ2F2hg0F86ynccVQjpMaB+Bao1u5SJDgPbWswnDW2k/8wR0Tk0SxUWpgACVvFieE5W5URXypNL1mETxktXCo8owcfUYkwsDIQSmGo2FdZ9C4EizSbVy7KTv6VbOkWZxhOFqRL2iEWYRkfVKPU8yMNn4aUStSeLp2WG2EKdk42eQj54Mk08TTzzetT8oj2IIGVlrijCvh2lGiBPaISFECa24SkK2dM54XCGLqiR5o5yAGIgSiCo04wqtUCWanKSSpgzXFh9uy/Kcdt49CGtnGXmeE8fdg6EQAgeO5Ew0Zhs60QiM1gLbRrpP7SIiImtLwZMMTpzQ3nke0ZF9xeS/UUy25eSiYjfA8DbC4aeIQren04r5TvLF8qYAophmOgJloJKRFnlGHUfpPGYjj2nHFQgpcdQGUpJqnWa7XX4xipIH7WaTLM8ZGx7muJRBVyvLaWVQTSAtp5U50gpzAqcZE41AvZIzXFUPlIiIrC0FT2stiggjO8lGdnZfN7yDbHIvUfl8XSAuil2m1WJKlMl9BLpnK4XyGHOPWU6xErIyzwkgphlVisAJyjpM1WIS4Haz+Lx5n9Bst2m221TTlGY7p9HOSSKopjFZHshDRBwtDIKyEHNoKqeZwVSraGMcwVAlY8dIzFRz8f++HGkGhpUqJSKy7ijnSdaXLbsgaxCakx11nRIY2QlxUgzfRXHXKU3ymYri80RpncrQOHlrkpAHpto57S53fhGszVgYojVbbSYaOVOt0NFlOzNcV6FCk7RjpC0P0MpjpqbnHisPMNmEOOrtST8REVkbGraT9SWKYfwMaByC1lQRDNW3Fj1PxQbkUQpkRCGbnZolSsmISBfUkYpJy4lyk2pR7DJMHgbaLGYmiAqBoz1KUQTTWcR0uzNw6gyuYlpUCVmbOCpCqpyYPCw+7DbVgrF6EUh1U0tV0kBEZD1aJM31hKXgaR0IIRQ9R1HcPQk7iqA+XrwWrCunT4lSWqFOTkLomA8v0KaSFxW/Z6p8x/OmOEnimHaXx+9mYqJmltAmZSbPipCTxjlzH9nrFthEtEnnTQK8cAhwRjuHoUrEVBqYnhfLDaWwpabgSURE1p6CpzXWbB6h3Zwiz9tFJe6kSq2+hThOykf+p2i3W0AgiVPqtTpJMvvXllaHabanyUjIulQIb5NSHdpOJUmIk0rX4KxerdFqt8nnlSnI84h2SGhRnRfuxLTzmDwvepOSKF+kMPncgb9iZHBm2cIdKjGkccSu0YRD04FGu2hPLY0Zq0cqpikisk5p2E4GptmcojndUecp5GTtaRpTOfXhk5g8MkE7m+2CyfMmWd5mZGiUJCmSidJKnVAfp9WYZvEenUC9ViWEwJFmdjQoGa7E1CoJURwzldVo50U6ekKbEEU0Qw0Ii8/YEgEhWjRhHaCaxDTbgUBEICI6OiHNwr1GarMB0vhQUWVdRETWPwVPMjDtVvd54rKsSaMxNSdwmpHnOY3mNMNDs8UqK7UR4iyQtRfJWwqBEAL7J1tMtWfv8MlmzlAlp9GKaOVFMJYFaFIhhPJJOCAhdI2OjlY9D3HxNOC8bapJxK7RlEPTOQen5n6zkjKXPc8hTYpCmON19SyJiGxEetpOBibkXet8A9BuNxZdl3fZL01SWosET2mSMjGdlYnYEVE025t0uDHvyTeYU5ogB0LISbsER7PflZg8QNyxTT2N2DqcEEUR40MJtTRnshEIFEHVaD06eowINCQnIrKBhVXpeto4/w4oeFpDUZwQsu6PKMRxCnlrkR1nb7AQAlOtHKiQxC2yeYFVmqQ08pSDU4FAMrNTWXgzIoTo6OHyQNeaToGYLATSjrpNIUAI8dFtZ+pP7RqBNImOFr2cUa/E1LvMyrJxvioiIiIFBU9rKK3UaWYLA6QiaXyY1uQEYV4SdwiQJkWZgslGxsGp7Gh3aUSNetKmmuTkIZCFhKmsylSjWDsrIg8pWYAkCrNTwzB/u47PJSJ0bDEbaM2qpxF1VQAXEdl0lPMkA1OtDhNCoN2aKofwIpK0Sq0+ShwnDNWHmG5Mkec5rTyhGarkJExNR6TNJo15o3QBONJOaWYxjTw+unSx6gdRKG/4ZXT/VOKI0VpMGkdUksDTkzGNjk6uWgrbjz1nsIiInIBU50kGqlYboVodJs/axHHx5NuMaqVGJa0yMdVguhEf7elp58Wra2WlCJp5znKfVMuJiEIgjmaKCHSPpkZqEScNz5YLf9Z44HAj0M6LuemGqyolICKyWannSQYuiiKStEtCULmukadHh8yWecRlbTVT7TsjlMl+xSswN4F7uAJbh+YeM4pmk75FRGRz09N2su60s5XelfMSvsPCKe6yHFohJiaQRjOVv4/uQRoXVb2HKkVlb/UqiYiIFBQ8bQBxzOx8ux26DbAtTOSOykl/Y+K4OEgIEc08AWJCWZwghOIj0ghO31WjkjUVMImIyLJo2E7WneFKfLQq+KyIuBxim7lpA0XxyWoSzZkbLpDQDsm8uehm98lCMYQXiNlSzTl1e529excpkyAiIjJPWJVxu43zH3YFTxvAaD0hCzDZyJkZwaslsHU4pZJEPDOVc2g6ph0SkhhG6zlDWc50e6YAZc6+qdmaTHNFZCEtfwqM1zfZfx9ERKRnynmSdemkoYSxesx0K5DERe9SFEXkAZ6eqjHRKIpbTgD7jwROHs04ZWy2t6qRBSaa84On2bu9Ege2DedsqQ3kdERERDasvgZPZvZy4FXAHiC4+7Xz1teBm4AngHOAG9z9vnLdw8DD5aZPuPvry+VnAb8BPACcBfy6ux/u53msF3EUMVydGwDtORwz0ZhbliAnYs/hhK1DOdXyb/i08cCeyYzDzZg8h1oa2DZUDPvlAUZrEG+cHlMREVlHNlvOU9/KQZvZMHALcIW7XwO8wMwumbfZ5cCj7v5B4HeBP+pYd6u7X1y+Xt+x/Bbg4+U+3wDe2a9z2AgON7pHPFmI2D81+9cbRXDyFjh1LCcKCU9PVnlwX429hytsqR47cMoDTLciFqReiYjIppfnoefXRtLPuTQuBB5x95kZbu8ELp23zaXAXQDu/nXghWY2Vq57mZldZWbvN7PvBzCzCvDDwBeWOOamstTtNv9/Aq02fGt3nd2HK0w2EyaaCU8eqvCt71SX/F/DI/tT7n5kiDsfGuauh4b5xlM1BVEiInJUCL2/NpJ+DtvtAiY63h8qly1nm0PAu9z97rIH60tm9l+ASWDK3cO87Ze0deswaZosuc3OnaPHOsy6dKDVYnLvwkgmjeHsZw8xOjQbH3/zsZzJ1sI79OB0ylRU4cyds9vOXI8Hngo8+PRsMmAji9g9EZNUKrzsvM01zrdR75F+0fWYS9djIV2TuU7k67HRgp9e9TN42gN03ilj5bJlbePud5d/HjGzrwAXAZ8ChswsKgOobsdc4MCBI0uu37lzlL17J5bcZr0ajWG4knKk1dmJGNg6lDF9uMl0RzbYvoNVFvsrf2pfk2GK8gSd1+P+J+vkYeE+uw8Evv3YJKOb5Om8jXyP9IOux1y6Hgvpmsw16OtxIgdq60E/h+3uAs40s5nnty4CbjOzbR1Dc7dRDO9hZhcAX3X3Q2Z2iZn9eMexngc86O4t4A7gJZ3H7OM5rHtpAs/d3uZZo23G6xlb6xlnbW1z6vjC3qgkXjzQiRe5E6bbi+dUHZxeujdPREQ2hzyEnl8bSd96nsoeo18BPmJme4GvufvnzOxGYD9wA/Bh4CYzey9FgPSmcvc9wDVm9iLg2cCn3f1fynW/DLzPzH4UOAO4sl/nsFEkMZw8euwkpO0jOfsmw7wK5JDGOaeMtrvuU0vDnIKbM2IC4/UuVTdFRGTTCZssD7avpQrc/Xbg9nnLrur4eQp4a5f9vg68epFjPgz80qo2dJPYMZJxeLzF7omUdl50NVWTnNNPajFU6R71n7ylzTPTCfMLbG4bzhjbJEN2IiKytLDBeo56pSKZm8xZ24ohvj2TKXFUFNNMlxi8PX1rm3aI2H0o5UgroRLnbBvOsF2NxXdaQjuDB76TMt2OOGU845Quw4siIrKx5JvsV7mCp02oVoHTT+o+TDdfFMFztrc4a2uLI62IahqoHmeq0+MHEr74UJWJMlfqm08ETtva5gfPbSyacyUiIrLe6J8sWZY4hi214w+cshzueXg2cALIQ8Sj+yt89bHKKrVSRETWQgih59dGop4nGYi77q+yfyJmpqxnHBe9WlEUsfuZFMoyCSIisvFssALhPVPwJH33rSdSHvjO3Fstz4vgKUmgpYf2REQ2tDCA6GkZ8+W+Fvhp4CsUJY3+1N3/th9t0bCd9FUIcP930gXlEWbWhRDYNrLJMg1FRGRFljlf7hDF7CQ3AtcDN/erPep5kr5qZjAxtXiMXk9zznt2c4AtEhGR1TaAlKXF5sv93MwG7n5rx/bPA/6jX41R8CR9VYmhVslpZgszzeMocNE5DbZv2WSD5SIiJ5i8/8N2y5kvFzMbAq4BLgZe36/GaNhO+iqO4dSt3YflTtuWceo2DdmJiGx0A3jabjnz5eLuU+7+TorA6Q4z68vj3AqepO9e+twmz9nZopIUX44kLuo7ff85Kyu0eeAw/Nu98IX7oaGH80RE1o2Q9/46hmPOl2tmbzezmQTbx4EdFHlQq07DdtJ3SQw/dF6TZ460+M4zMdu25OwYXVkX7x1fg68+FNNoFd+LL9wX+IHzc15wdj9aLCIi68ky58utAR81s0eB84DL3P1QP9qj4EkGZnw4MD688roE//EofPH+mDzMPrE3MRXx+a/HnLUrZ2xkNVspIiIrlQ8gY3wZ8+V+oO+NKCl4knXvviejOYHTjMnpwKc+H6imMFyD7z4TLjh74XYiItJfG61CeK8UPMm61+oyDV+W5bTbOXsOzi578Ck4OBn4wecrgBIRGaQBPG23rihhXNa97WMLv5R5lym8sxy+/AA0W5vrSywiIoOl4EnWvf90Luwcnw2IQgh0iZ0AODgJDzw1oIaJiAgwM2NEb6+NRMN2su6N1OFnL8q5696I3Qci4ijnqadhukth8igqthcRkcEZxNx264mCJ9kQxobhx14UgOIL+rf/Bl9+cOF2p26HM3YOtm0iIpvdIJ62W08UPMmG9IoXwTOT8NDumXAKdp0EP/oiiCIljIuIDJJ6nkQ2gHo14vU/ErjvcXhyP4wOwfc8F9JEgZOIiPSXgifZsKIowk4HO32tWyIisrmp50lERERkBTZZ7KTgSURERHqjnicRERGRFdhs07OoSKaIiIjICqjnSURERHqy2ea2U/AkIiIiPdlsw3YKnkRERKQnmy1hXDlPIiIiIiugnicRERHpyWbreVLwJCIiIj3RxMCryMxeDrwK2AMEd7923vo6cBPwBHAOcIO732dmLwEuB74MGHC3u3+i3OcW4Ls6DvM2d/96P89DREREFqeep1ViZsPALcB3u3vDzD5tZpe4++c6NrsceNTdbzSzC4A/An4QeBbwYXe/28wqwB4z+yt33wfsdvdf7le7RUREZGX0tN3quRB4xN0b5fs7gUuBzuDpUuDdAO7+dTN7oZmNufvfzDtWG2iVP4+a2XvKZZPALe7e7tdJiByvLAvc8a9P89iT02wdr/BjF+9gqJ6sdbNERKRH/QyedgETHe8PlcuWs82hjmW/Clzv7s+U7z8JfM3d22Z2I3A18P6lGrJ16zBpuvQ/Wjt3ji65frPR9VhoJddk79MNfvPGb/LNe2dv7zvu3M/Vv2ZccP54P5o3cLpH5tL1WEjXZK4T+XqoSObq2QN03ilj5bJlb2NmrwNG3P26mWXu/qWO7f8ReCfHCJ4OHDiyZEN37hxl796JJbfZTHQ9FlrpNbn5Dx+aEzgBPPrEFB/+xP1cf/W5RFG02k0cKN0jc+l6LKRrMtegr8egA7XNlvPUzzpPdwFnmlmtfH8RcJuZbTOzsXLZbRTDe5Q5T19190Pl+zcDu9z9OjO7wMzOLZd/qOMzzgEe6OM5iKxYux341n2Hu667/9uTPPjw0sG8iMhGE0Lo+bWR9K3nyd2PmNmvAB8xs70UQ22fK4fa9gM3AB8GbjKz9wLPA94EYGY/DfwO8GUz+xlgO/A24D5gp5ndAByheBLvyn6dg8jxyEOg1e7+iyDLYXIqG3CLRET6K+T5WjdhoPpaqsDdbwdun7fsqo6fp4C3dtnvr4GuiSHu/sbVbaXI6qpWYs4+Y5ivfOPQgnWnPavG+eduWYNWiYjIalGRTJE++Jkf38Vjj0/x9MHW0WVD9ZifvGQXlVSzIonIiUUJ4yLSsxeeP8a7L3suf3/HXvbuazK2JeHii7bzogtOjCftREQ6bbScpV4peBLpk+ecOcxb33jmWjdDRKTv9LSdiIiIiCxKPU8iIiLSk83W86TgSURERHqSB5UqEBEREVk29TyJiIiIrMBmC56UMC4iIiKyAup5EhERkZ4Mos6Tmb0ceBWwBwjufu289e8ETgF2Ay8G3ufu9/ajLep5EhERkZ7ked7zaylmNgzcAlzh7tcALzCzS+ZttgW40t1/G/g08KE+nCqgnicRERHp0QByni4EHnH3Rvn+TuBS4HMzG7j7b3RsHwOH+9UYBU8iIiLSk9D/UgW7gImO94fKZQuYWRV4A/DWfjVGw3YiIiKy3u0BRjvej5XL5igDpz8A3uPuD/arMQqeREREpCchDz2/juEu4Ewzq5XvLwJuM7NtZjYGYGZDwMeBm939HjN7db/OV8N2IiIi0pN+5zy5+xEz+xXgI2a2F/iau3/OzG4E9gM3AJ8Eng+cbWYAIxSJ46tOwZOIiIj0ZBDTs7j77cDt85Zd1fHzq/reiJKG7URERERWQD1PIiIi0pPNNj2LgicRERHpSThGkcsTjYInERER6Yl6nkRERERWYABFMtcVJYyLiGaHfNcAAAk8SURBVIiIrIB6nkRERKQnuYbtRERERJZPCeMiIiIiK6CEcREREZEVUMK4iIiIiCxKPU8iIiLSEw3biYiIiKzAZksYj0LYXNGiiIiISC+U8yQiIiKyAgqeRERERFZAwZOIiIjICih4EhEREVkBBU8iIiIiK6DgSURERGQFTug6T2b2cuBVwB4guPu1XbZ5DfBB4DJ3/7uV7LsRHe81MbPnAtcBXwJOA552998aWMP7pJd7pFw3BPw78A/u/vYBNLmvevzOGPDzwBTwQ8A17n73QBreRz1ek3cAZwH7gHOAN7n71CDa3S/Huh5m9k7gFGA38GLgfe5+b7nuF4DvBTLgQXf/+CDb3i/He03M7CXA5cCXAQPudvdPDLTxclxO2J4nMxsGbgGucPdrgBeY2SXztjkb2As8ttJ9N6JergmwDfgLd/+Qu18G/JyZvXgAze6bHq/HjOsofvFteD1+ZxLgZuC33P23gTcBDw2i3f3U4zU5BbgaeJu7/yYwQvEP7Ia1zN+NW4Ary/vg08CHyn1PA94OvN3drwLebGbnDKzxfdLLNQGeBXzY3W8C/gdwo5ntGEzLpRcnbPAEXAg84u6N8v2dwKWdG7j7Q+5+x/Hsu0Ed9zVx9y+4+193LIqByb61dDB6uUcws18s99nwQUKpl+vxEiAC3mZmVwM/RdHbstH1ck2OAE1grHy/Bfhmvxo6IMu5Hr/h7jPVl2PgcPnzjwH3dKy7C/iJPrd3EI77mrj738zrnW0DrT63V1bBiRw87QImOt4fKpf1e9/1bFXOy8xeCXx2pit+Azvu62Fm5wPnuftf9qNha6SX++NMin9EbnX3DwIvA96wus1bE8d9Tdz9EPAO4H+Z2a3A48ADq93AAVv29TCzKsU98N6V7rvB9HJNOv0qcL27P7PqLZRVdyIHT3uA0Y73Y+Wyfu+7nvV8Xmb2w8APA1esYrvWSi/X45XAtJm9C/gB4KVmdvkqt2/Qerkeh4B7O37x/wtw8eo1bc0c9zUxs++hCJ4udfc3UvTEvW+1Gzhgy7oeZZDwB8B73P3Bley7AfVyTWbWvQ4Ycfff7WdDZfWcyMHTXcCZZlYr318E3GZm28xsbIn9Ft23T+0cpF6uCWZ2KUXX+2XAKWZ2Yf+aOhDHfT3c/QPu/lvufgNFoHC3u/9en9vbb73cH/8ObC9zn6DoibqvT+0cpF6uyanAfndvl++fAup9auegHPN6lA9RfBy42d3vMbNXl9t+FnixmUXl+wuBvx9g2/ull2uCmb0Z2OXu15nZBWZ27qBPQFbuhJ4Y2MxeAfwsRTJny92vNbMbKX6h3VB+id9Dkdz6L8CfuftnF9t3TU5ilR3vNSmTw/8J+GJ5qBHgo+5+68BPYhX1co+U+78aeCtQpbgefz7wk1hFPX5nXgn8SLnvGRSJ0hv6yTLo6TuTAB8BpoGDwPOBy939qTU5kVWyjOvxlxTn+mS5y4i7v6Tc9xeA76N42u6+E+hpu+O6Jmb208CfMvvQyXaK783nB3sGslIndPAkIiIistpO5GE7ERERkVWn4ElERERkBRQ8iYiIiKyAgicRERGRFVDwJCIiIrICCp5EZAEzu8bMrjmO/W42s1V5hNfMRszsk2b28DK2PWv+dmb2F2b2492OM7Ou/PliM/v8arRZRDYHBU8ismrc/cpVPNYkRf2k43Ul8I+LHOdK4B97OLaIbGLpWjdARBYys9cArwCepqhU/Q7gdOBjwDjFFDnXAAb8GvCLFAHB1cBzgPOBd7v7P5tZDFxLUdg0BnLgHe6elVOIvBt4GDgX+AfgHuAny3bsAP5nuWyxY7wMuJ5i3ravLHI+5wGfpCiO+BaKqUo+CXzb3d9gZq8F/itFEcFTKGag39vlOH8KHCiPUwUuc/esbNs2M/t94F7gG8CNwGfK69R5jItn1pnZRygq5p9T7vuvwGuB/wxc4e6fMrM/Bs4DXuvuj3Y7PxHZXNTzJLLOmJkBvwm8xd3fRVHZ/UZ3/wJFgLEF2EHxn5+fcvevuPuvl7vf7e7/nSIg+PNyPq3/BjzL3a9098spJi19g5lVgL8CPuDuVwG/BFzk7v9OEXR8xt1/tfzcxY5RBf6cIoh5I0XQsoC7fwt4JxDc/UtlEPIQ8OYysPod4Jfc/R0UVbo/usjluc3dLyt7uCKKqs6U12t/2d7fLys0f2aRthxd5+77gQ8D95f7fgr4eYrfjf9U7vJA+XehwElEAPU8iaxHr6CYA+1jRRzFKFADcPenzOzXgX+m6AmZPwP7neV295jZOPBdwE8AJ5vZLeU2Y8DJ5bqd7v7Vcp/9wOsXadNSxxh393vK5f9vifP6v8AnzOz5wDPAU+7eMrOXA19x90bHOdy0yDGqZnYrxXQnLwZ2L/F5x8Xdj5jZJ4G3mNm1wPnufv1qf46IbFwKnkTWn4hi3q9fnllgZls61jtF8HER8H+OcaxQHu/v3P23y2MlFENezyvXL7dN3Y5x7nKP4e7BzP6EYg64A8Ct89rZ+VkLlBNRfwh4ThngXAMk3bZdBR8DPk/Rk3YiTAouIqtIw3Yi68/twPeZ2SiAmX0v8Lvlz3XgbRSTq77BzF46b98Ly+2+jyLAcoqZ61/Rsc2vAa+iyA3aZ2YvLPc52cz+sNxmGkjMbGs5eelSxzhUfh7ADxzj3P4EeB3wXeVQ3sz5fm/HrPTfX37efNuBI8DMZMNndKybpgykzOy/HaMN8y3Y193vA75JkS/16RUeT0ROcJoYWGQdMrOfA34OeBA4CbgK2EaRC7SfIgfpDmAn8C53/99liYDLKYbSLmBuwvh1FAnn+4AGcHXZE/Q9wHuBRyjymD7g7veWAdtHgceBP6ZIJF/sGDMJ4/9Bkcd0PXBzRx7W/HP7LPAX7v4n8873Z4CnynO6giJQ+hjwyvKYNwF/RpEw/w3gpcAQRTB5N0Ue05Plfp+mSAqHIpn8NR3H+beOdVeV+/4DcB/wkLu/v2zT6yiG7N672N+TiGxOCp5EThBmFty965CXLJ+ZPcfdv21mvwP8nrs/ttZtEpH1RcN2IicAM/u98s+b17otJ4DLzOxTwDMKnESkG/U8iYiIiKyAep5EREREVkDBk4iIiMgKKHgSERERWQEFTyIiIiIroOBJREREZAUUPImIiIiswP8H+aMnBh7KKhMAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(pvols, prets, c=prets / pvols,\n", + " marker='o', cmap='coolwarm')\n", + "plt.xlabel('expected volatility')\n", + "plt.ylabel('expected return')\n", + "plt.colorbar(label='Sharpe ratio');\n", + "# plt.savefig('../../images/ch13/stat_12.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Portfolio Optimizations" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "1fea02c0-d092-4a29-a9eb-2d4022985a62" + }, + "outputs": [], + "source": [ + "import scipy.optimize as sco" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "0124792d-7b7f-4f7c-ac42-367681a7145f" + }, + "outputs": [], + "source": [ + "def min_func_sharpe(weights): \n", + " return -port_ret(weights) / port_vol(weights) " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "a634bb6a-ef2e-4a68-9414-b2e320b58296" + }, + "outputs": [], + "source": [ + "cons = ({'type': 'eq', 'fun': lambda x: np.sum(x) - 1}) " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "40e6c1b4-8fb8-4a8f-b2ba-36ffdaefc47b" + }, + "outputs": [], + "source": [ + "bnds = tuple((0, 1) for x in range(noa)) " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "d689f1b3-c680-4a1e-865b-85a64b06c0f6" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.25, 0.25, 0.25, 0.25])" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "eweights = np.array(noa * [1. / noa,]) \n", + "eweights " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.8436203363155397" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "min_func_sharpe(eweights)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "dda15397-398b-445e-be6a-11e7ed0e3c32" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 45.4 ms, sys: 1.9 ms, total: 47.3 ms\n", + "Wall time: 46.3 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "opts = sco.minimize(min_func_sharpe, eweights,\n", + " method='SLSQP', bounds=bnds,\n", + " constraints=cons) " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "uuid": "ee237054-2af4-4879-97d1-0ee77d84d9a8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: -0.8976673894052725\n", + " jac: array([ 8.96826386e-05, 8.30739737e-05, -2.45958567e-04, 1.92895532e-05])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 36\n", + " nit: 6\n", + " njev: 6\n", + " status: 0\n", + " success: True\n", + " x: array([0.51191354, 0.19126414, 0.25454109, 0.04228123])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opts " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "uuid": "e0a821b0-a330-4979-bec2-a9e731f11656" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.512, 0.191, 0.255, 0.042])" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opts['x'].round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "uuid": "faae2c2f-382b-427b-9426-87085a339b76" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.161" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(opts['x']).round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "uuid": "faae2c2f-382b-427b-9426-87085a339b76" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.18" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_vol(opts['x']).round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8976673894052725" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(opts['x']) / port_vol(opts['x']) " + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "uuid": "f84ed951-5f9b-4ec7-bb7c-330994bdb0b9" + }, + "outputs": [], + "source": [ + "optv = sco.minimize(port_vol, eweights,\n", + " method='SLSQP', bounds=bnds,\n", + " constraints=cons) " + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "uuid": "76321897-4b6e-4714-965a-79bdd489b846" + }, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: 0.1094215526341138\n", + " jac: array([0.11098004, 0.10948556, 0.10939826, 0.10944918])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 54\n", + " nit: 9\n", + " njev: 9\n", + " status: 0\n", + " success: True\n", + " x: array([1.62630326e-18, 1.06170720e-03, 5.43263079e-01, 4.55675214e-01])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "optv" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "uuid": "031a4259-ecec-4cf4-85cd-98515fe15a6c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.001, 0.543, 0.456])" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "optv['x'].round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "uuid": "1859a17c-e501-4a6f-88ae-16b9cf10b308" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.109" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_vol(optv['x']).round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "uuid": "1859a17c-e501-4a6f-88ae-16b9cf10b308" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.06" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(optv['x']).round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5504173653075624" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(optv['x']) / port_vol(optv['x'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Efficient Frontier" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "uuid": "a49f6ebe-1552-400f-b97f-a26d1bd9fa2a" + }, + "outputs": [], + "source": [ + "cons = ({'type': 'eq', 'fun': lambda x: port_ret(x) - tret},\n", + " {'type': 'eq', 'fun': lambda x: np.sum(x) - 1}) " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "uuid": "a49f6ebe-1552-400f-b97f-a26d1bd9fa2a" + }, + "outputs": [], + "source": [ + "bnds = tuple((0, 1) for x in weights)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "uuid": "75433eba-18d3-416a-95a9-c404293ef495" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.39 s, sys: 9.86 ms, total: 2.4 s\n", + "Wall time: 2.41 s\n" + ] + } + ], + "source": [ + "%%time\n", + "trets = np.linspace(0.05, 0.2, 50)\n", + "tvols = []\n", + "for tret in trets:\n", + " res = sco.minimize(port_vol, eweights, method='SLSQP',\n", + " bounds=bnds, constraints=cons) \n", + " tvols.append(res['fun'])\n", + "tvols = np.array(tvols)" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "uuid": "b16fdf94-8324-481a-a360-ed2060b9f481" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(pvols, prets, c=prets / pvols,\n", + " marker='.', alpha=0.8, cmap='coolwarm')\n", + "plt.plot(tvols, trets, 'b', lw=4.0)\n", + "plt.plot(port_vol(opts['x']), port_ret(opts['x']),\n", + " 'y*', markersize=15.0)\n", + "plt.plot(port_vol(optv['x']), port_ret(optv['x']),\n", + " 'r*', markersize=15.0)\n", + "plt.xlabel('expected volatility')\n", + "plt.ylabel('expected return')\n", + "plt.colorbar(label='Sharpe ratio')\n", + "# plt.savefig('../../images/ch13/stat_13.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Capital Market Line" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "uuid": "b6eb023a-2407-49d7-986d-3d47e9c3ae45" + }, + "outputs": [], + "source": [ + "import scipy.interpolate as sci" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "uuid": "cca0eb49-0c77-4186-a2df-06ebf56fa923" + }, + "outputs": [], + "source": [ + "ind = np.argmin(tvols) \n", + "evols = tvols[ind:] \n", + "erets = trets[ind:] " + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "uuid": "c3bf6d9e-0548-4874-90fc-0555f05afd5e" + }, + "outputs": [], + "source": [ + "tck = sci.splrep(evols, erets) " + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "uuid": "f37d6e01-0091-42d4-a9ca-1102f0fdb436" + }, + "outputs": [], + "source": [ + "def f(x):\n", + " ''' Efficient frontier function (splines approximation). '''\n", + " return sci.splev(x, tck, der=0)\n", + "def df(x):\n", + " ''' First derivative of efficient frontier function. '''\n", + " return sci.splev(x, tck, der=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "uuid": "e0a3d820-a9f1-41fa-a5bf-46fe176fdb68" + }, + "outputs": [], + "source": [ + "def equations(p, rf=0.01):\n", + " eq1 = rf - p[0] \n", + " eq2 = rf + p[1] * p[2] - f(p[2]) \n", + " eq3 = p[1] - df(p[2]) \n", + " return eq1, eq2, eq3" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "uuid": "2c23eced-0b5a-45cd-b677-f4eff5876f43" + }, + "outputs": [], + "source": [ + "opt = sco.fsolve(equations, [0.01, 0.5, 0.15]) " + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "uuid": "f4c2c1e9-aef7-4d22-9e1c-3b7ff5066830" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.01 , 0.84470952, 0.19525391])" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": { + "uuid": "3651a6fa-7740-43fe-a18a-1134cbed7b0a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., -0.])" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.round(equations(opt), 6) " + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": { + "scrolled": false, + "uuid": "b4e45542-14a5-4e96-9bbe-186873d9f429" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(pvols, prets, c=(prets - 0.01) / pvols,\n", + " marker='.', cmap='coolwarm')\n", + "plt.plot(evols, erets, 'b', lw=4.0)\n", + "cx = np.linspace(0.0, 0.3)\n", + "plt.plot(cx, opt[0] + opt[1] * cx, 'r', lw=1.5)\n", + "plt.plot(opt[2], f(opt[2]), 'y*', markersize=15.0) \n", + "plt.grid(True)\n", + "plt.axhline(0, color='k', ls='--', lw=2.0)\n", + "plt.axvline(0, color='k', ls='--', lw=2.0)\n", + "plt.xlabel('expected volatility')\n", + "plt.ylabel('expected return')\n", + "plt.colorbar(label='Sharpe ratio')\n", + "# plt.savefig('../../images/ch13/stat_14.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "uuid": "f2e04c2a-434a-442d-bce2-0f7be60c6e80" + }, + "outputs": [], + "source": [ + "cons = ({'type': 'eq', 'fun': lambda x: port_ret(x) - f(opt[2])},\n", + " {'type': 'eq', 'fun': lambda x: np.sum(x) - 1}) \n", + "res = sco.minimize(port_vol, eweights, method='SLSQP',\n", + " bounds=bnds, constraints=cons)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "uuid": "78362c70-0acf-4f13-9a7d-04adbc7de43a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.59 , 0.221, 0.189, 0. ])" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "res['x'].round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1749328414905194" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(res['x'])" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.19525371793918325" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_vol(res['x'])" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8959257899765407" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_ret(res['x']) / port_vol(res['x'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch13/13_b_statistics.ipynb b/code/ch13/13_b_statistics.ipynb new file mode 100644 index 0000000..c297dd7 --- /dev/null +++ b/code/ch13/13_b_statistics.ipynb @@ -0,0 +1,1191 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Statistics (b)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bayesian Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pylab import mpl, plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "np.random.seed(1000)\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Introductory Example" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "4b612fde-e947-4a33-a275-6202d7ded7bb" + }, + "outputs": [], + "source": [ + "x = np.linspace(0, 10, 500)\n", + "y = 4 + 2 * x + np.random.standard_normal(len(x)) * 2" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "ad9f9a77-ffb5-4eed-a79b-bd2ea33ae0e2" + }, + "outputs": [], + "source": [ + "reg = np.polyfit(x, y, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "uuid": "5903887a-2a6b-4dce-89f1-9de9be686ef4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([2.03384161, 3.77649234])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reg" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "uuid": "4f6cbf6d-06ce-4f8d-a7a7-1209004b686a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'y')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha3.7664620.1695740.0101783.4158954.066964242.4662711.010573
beta2.0356210.0288500.0017521.9787592.088702223.5641561.003848
sigma2.0035670.0585960.0031461.8925702.124499296.9179941.002454
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" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", + "alpha 3.766462 0.169574 0.010178 3.415895 4.066964 242.466271 1.010573\n", + "beta 2.035621 0.028850 0.001752 1.978759 2.088702 223.564156 1.003848\n", + "sigma 2.003567 0.058596 0.003146 1.892570 2.124499 296.917994 1.002454" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(trace) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "e06c4eed-10d4-4d4c-aea0-4e4164f4d7f5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'alpha': 4.058315495397339,\n", + " 'beta': 1.9734526083756765,\n", + " 'sigma_interval__': -1.4176735028146576,\n", + " 'sigma': 1.9502656405883532}" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "trace[0] " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(trace, lines={'alpha': 4, 'beta': 2, 'sigma': 2}); \n", + "# plt.savefig('../../images/ch13/stat_16.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "uuid": "99e44b63-168c-415a-be8f-9347f45578aa" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data.plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch13/stat_18.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "a92a57dd-76c4-4e8b-ab75-8523fbb49435" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2010-01-04', '2010-01-05', '2010-01-06'], dtype='datetime64[ns]', name='Date', freq=None)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.index[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "facf1920-22f9-4300-90ed-39f79d9b024c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([733776., 733777., 733778.])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mpl_dates = mpl.dates.date2num(data.index.to_pydatetime()) \n", + "mpl_dates[:3]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "f73eecbd-a135-4448-a5d4-8caa6259039e" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates,\n", + " marker='o', cmap='coolwarm')\n", + "plt.xlabel('GDX')\n", + "plt.ylabel('GLD')\n", + "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n", + " format=mpl.dates.DateFormatter('%d %b %y')); \n", + "# plt.savefig('../../images/ch13/stat_19.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "0cf4e75d-b4ea-4822-9e25-8c837fe6049d" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "logp = 1,493.7, ||grad|| = 188.29: 100%|██████████| 27/27 [00:00<00:00, 1928.05it/s] \n", + "Only 250 samples in chain.\n", + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [sigma, beta, alpha]\n", + "Sampling 4 chains: 100%|██████████| 9000/9000 [00:05<00:00, 1582.12draws/s]\n" + ] + } + ], + "source": [ + "with pm.Model() as model:\n", + " alpha = pm.Normal('alpha', mu=0, sd=20)\n", + " beta = pm.Normal('beta', mu=0, sd=20)\n", + " sigma = pm.Uniform('sigma', lower=0, upper=50)\n", + " \n", + " y_est = alpha + beta * data['GDX'].values\n", + " \n", + " likelihood = pm.Normal('GLD', mu=y_est, sd=sigma,\n", + " observed=data['GLD'].values)\n", + " \n", + " start = pm.find_MAP()\n", + " step = pm.NUTS()\n", + " trace = pm.sample(250, tune=2000, start=start,\n", + " progressbar=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha0.9137160.0063720.0003020.9015280.925733382.7468750.999778
beta0.3852890.0082010.0003860.3699870.401430385.5632320.999728
sigma0.1195660.0017310.0000660.1160630.122679700.6083330.999938
\n", + "
" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", + "alpha 0.913716 0.006372 0.000302 0.901528 0.925733 382.746875 0.999778\n", + "beta 0.385289 0.008201 0.000386 0.369987 0.401430 385.563232 0.999728\n", + "sigma 0.119566 0.001731 0.000066 0.116063 0.122679 700.608333 0.999938" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(trace)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "1a64e594-4985-4413-b4b6-c8400691fbc2" + }, + "outputs": [ + { + "data": { + "image/png": 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KV3EQ3cq/QgNkEupnmOc+tJNN+5UH6/xoiQVdh3TGol7zm+/nxhG6fn45WML3cQ8fIrN1G0ZHx9LsbHoqhR+cZc3zI4oF5iJD/OYXBrFSSUjtxVToYkkCy3GcP2y+/KRt2y8HnrJt+z7gfzuO8/0lW6dQrCIlv8zjU0+yoWM9u/tWpnLg6WhUQ+xjt1M6FrGfKQxTJ0wbzPoRMWDpGp2mTlpALhJo1YCpJ8b56BNjWL1ZfuLHd3LF9v5VtVmhuBCxbfv+eW91YAh4eI3MWRPaXozmoFtegp5vscCDtbJhR2EUI6RE1zSElKvqpZBh8lkb2Rxxo0F939OkNgzB4N5z20+rEuEqhFP+KDEyVaM3n6azWbzidLQ+c03T6OxKzwksY05gabp2XgIrrlaIq1XiSnnJAks07xexiJ5pYRxSCar0ZnrOmsNY90KOTlSpNgKu2tpHd0fqrPuX866ZlTo/D9ZYbYK0kaY/e+HlmS5JYNm2/S7gUeBXgbtIYt3/BbjVtu23OI7zX5duokKxOnxn9GGEFNx52e2r5r2SUvLcU+M89I1DRKEgzNeZXHeQqeFdCD/LtTv6ecULt2Bv7mnPhIVBxEFnhid+MEppoope9Pj6Z57m2/kUN75gM7v2rCe3iB83heIipQT8bfO1BCYcxzmwhvasOq3Bsp5KI3wfLtJGnmcikqvnwQqa5aazaZO6F7KaUWAtD5Y1OAiFAnGtSlQ69/CvtufqEhTjp8P1I0ZnaozO1Lhl94YzrtsWC7pGV0+W6YkqQiwU25qmEZ/Hd7HtXVyGG6tdcdL3z7ruRGOKyfoURyvDXNVnk7PmvODF2QZRGDO4IQ/AcFNcAZSq/qIEViuUVtM1dF3DtAwCf/HfVSklY7VxgItPYAF/AQwDHwB+3XGcMoBt2w+TiC2F4keCIA55cPRhOswcL9xww6ocM44F3773AM7TE6TSJvbNG/nC8CPE/eP0pHP8+s1vYcv6/EnbWSmT3VdvYPfVGwjDmG988zBP/3CMjqrP9+4/zMPfPMzm7X1cdc0QW6/ov2gq8igUi+SXTwxVt217r+M4z6yVQatBseojhKS/O4OMIko1nzA0GLTO7pUYrh4npVts6FjZWiAyitDOI3ztfIhXMUTQD5JjZVNNgbWqIYJNMd3RQceGIWpPPYkMzyP8K/7R92BJKak2QrqWaYIxmic2XT8imz79vTs/3A1gy/Y+JseqdPfOiZJWj6xzpZ0ftwwTJTKKQAO5CIHVCrOVUjJZHWdrfjO6lXjyZiarAPSv60TXtXZYrK5pbaF1Vluap9Oaz06lDBr1gDgWixq3CDl3PWIRY+iLq9zZqCf57Rs397RLxK8ES93zBx3H+fVTLN8CPLDEfSsUq8Zjk09QC+u8YuudpIyV9/4EfsRXP7+P40eLDA7lSW3t5uPfH0bX1tOzpRs/f5SOrtMPCqQQRMUiwvd52XU93HbzJv7xy/uZPV5mo2kyfLjA8OECuY4U9tUbuOraoQU/9ArFxYZt22+f9/rEP/8s8IpVNWiVOTZZJYxEU2CFVOoBrszSZ4i2V0LGMeHUJNbgurbQEVIwVZ9G0zT6M31YxplDoc6XuFGn/szTpIc2kd68eUWOseB4q1jkImx6sDLNPJKVLnIR1+sI38fq62uHfGlm8rnpqRSR655zLlU7rPRH2IM1U/Y4PFZmVxf0DHSjpTNExSLmebYpmJ9LN11yTznh2aIlsFrRL1bK5LJtC4/b7oUl5TlFySxn+KYMQ0glYwgRBujW6cc7cl4ip3/wEG5HnY69Vy9YJwwi0hkLISWmrpNNm9TckFgIDP3MIulEUZpKmzTqAWEQY2QXbhvGITNegXXZgbaQiucJLDf26NQXFz5Zq3iEQUyl5DGwvnNR25wPSy5yYdv2uxzH+QcA27Z/EfiE4zjHgL9esnUKxSogpeRbxx9C13Tu2HTrih8v8CPu+cxTTIxW2Lyjj2M6PP7wML35NO96zV5mjV4+8uyn+PLz9/Lze94MgD82Rv3pJ3EPHiAYHyecmT6p2tPrurooWF08G3czu+FKrt29k2MHZnji4WGeeHiYrTv6ue7mzQxt7l7VAh4KxSrxu8D3TvO3TatpyFoQRYJYCIIwhihKZsqtFH7gk20OzMLpabzhYcKZGTquTrqstMSHlJIZr8DQabxYsRBU6iG9+fT52VcsgUz6c+mdnSvem2u+B2ulc7D8MDlWJt0c+K2wB6ux/7nEG7h7dzvkqyWYtVQyYI7PsYhBOwxNSqQQaGcZHK8VZ+pp5ocxWqNGY2KUVKGb9KbNuIcOkt2xA9Z1nfOx4njuc5wte6cUWC2xJMScgIrKJcKZGcytl2OZc16V+b2wDOPcBdbZPFhCSpALC2ucvK8QUokYl34AZxBYLQ+RoZsEjRrCOLnwlu9FiQcrkhi6RmfWouoG1NzorGGCJ4rSVPP7E/hRu2Fzy44nZ/aBlFi6xUC2D1g4idIIXTqtxQmsVp5XtXJhC6zfAf5u3vtxktj3dyxxvwrFqnGkMsxobZzrB6+mN9OzosfyvYh77n6KydEKm6/o5+FinbHZBvbmHn7lNXvp7khxubyO+4cf4Mj+Rzj0jIf5zEGC8bH2PozOPJmtW7EG1qFns8gwICwUiGZn6Z4Z5VZ5HEr7qBzt5sdffAf1y2/k2ecKHDs8y7HDs6zbmOeWF29n09YLL2ZZoVgC73Ec5zOn+oNt229YbWNWEyElUXPw5QUx6TAiFhJpWfgN0S5y0aogFjcaRNUKZr5rQfjcdGOGDbl1p5yAmSq6HJussmdbH/ncuXv542oFSAZTwejIsgksP4xpeNFJwm9Vc7DCuRwsWPlmsq0Bt3/0KOg65XrA6GgVe2svelNgicAHFt/suB2GBslA/gIUWNONWZ4vH6NY0Llm6HI29nUv+HscS4zCNMIA4XrtPKPzbcA8P1/Kj5L7LJeZGzZLKTl2aJZcZ2qBVyqYnKQxPcPzZZPt29fT12ES12pt0SqFPJePpu2NlGcRWM8dK1J3Q15w5am/w1LKppBOxIvwPYzO0wuMlgDKmVncOCIKg5PEd70WMDlWoVR06V3fST5nMV6AaiM4q8CaXxgEOG2hi/H6ZLtM43xRNT9E0I0W34qilecVhfGK9t1aqsB62nGcr7TeOI7zH7Ztr053VoVimXhoNCl4+WObblmwfGymzmP7pzg0WqZQ9bEMncHeLDsv6+bGXYPnXB7d9yL+/TNPMjVWZWBLD18ZLuAGMS+/6TLedOcVGLqG+/xhao8/xusePQaFIoJvE1oWHdffQP76G8letfuMAxPhudT37+eZL32drhEH96tfxkh9lRe99OUEr3sRTz89y5GDM3zpk09y+c4Bbn3pdrp7c+d+0RSKC4zTiasmQ6tmyBoQRXMDDS+I0IMAiURaKfwwgqY3Jxl0JwTHj2NetZuw6d3RNJ0gDigHFXrSCweuMBcG54cxpw+UOjVSSuJaFT2bASHble+Wg7GZOpPFBtfuGOBIcYRyzWVT59Cq5mC1SrSnrWaI4CkElu9FhEFE5xLbakgp29UhW81ia4Gg3AgolD26mh4J4QegLz4sfH5IoYzjVcuVOxdqYR3Xiyh6DQ7PjLKxrxspJcPV4/RlegndBnqtjMhn0DOZuYIOwfmVJA8jQW22wbp1nTRiQaURkMuYTNanKAcVtnZsJQxjfC9CCtnWpKLRIAwFMhVS9yLy1Wn8sTEYTHprnmuz4cV6sNpFJmrBKT3NMgoRUjDjlTBl6qyFLloCJmflcIUgECEyjtD0OeFUqyTiNXBDdE0j32y0XCy6dBo6PX2nH1+0+2A1r5tlJS+iaKHAKnjF9uv53+v5AquxSIEVRTFxLNB1HdeLqJRXrkfgUr9Bl9m2bTqOEwHYtm1xCYRiKC4eGqHL41NPMpDpY1fvDgCmSi6f+PoBnjo8lyffkTEJI8GxySqP7Z/iU984yO5tvdx+zRA37BwkZZ15Osr3Qv79008xNV7F6M3wleEClqnzS6+yuS5To3D3J6n94HGiQgEALZ1hctc6Hl3nccdLf5adW164qPPRM1ny113PLddex0e/9CTV732XO6r7kPf+B9o37+eFP/XTXP/WW/jut49w5OAMw8/PcvNLtnPNTZepsEHFRYFt21cBfwnsJJkn1oBeFkZbXFTMT8b3gphUMzwsEViiPfMtmwNNPZslqlaQUUQQJ4PQdblBJuuTTDVmyE5XQNdJb5x7nLcGQ9G8sKnFFq0Q9ToyFlj5LqJq9fyKMJyGlvBz/YjpeIJqU2C1PFimYS17iGAYxZiGPuexCAUp02j3/4lPMYCenapRr/lst1NLKjwkwxAkGPl8cl2FIEZDxIIDB6a54fIkTEr4PpxD77P5DYov1F5YkQjxm97CStMrVQvrTDdmiGWMKDU9VkIiw7mmy/IEgRWVS0ghMXt62p9huehSmm2waWsPZvN57rkRgRthRImordQDNvTlGKmOAnAsPI5GLjmelEkZ9ihC+D5CSrQ4JozEnMCLI8A4Zw/nXA7W4vLjJgqNUwusMKIe1qmlYzrDiLQ3J7BKhQamZdA5bzuJBE0jq6dAQihCZBghzZPzNDVdw9A1LNNA1zSmxypkIkG+O3Pa+12e4MHSm+uJeb8xQgr8OEDTdKQUCzxY81+7kbeo3LaWdyyXT3Nsto7VWLmc+6UKrC8BR2zbfoKkHO71wG8t2SqFYpV4dPIJQhFy+8ab0TWdR/dP8cF7niUIBbsu6+YlN2xi7+X9dGYtpJTMlj2ePlLge89MsO9okX1Hi2TTJjdftY7brxli+1DXSV9wtxHw5U89xexUjYqpcaBQ46Z0hZ/oLMCH/43jlSR0Rs9myd96G/kbX0Buzx56wip3f/99TA1/FXtoz6LjiyH5wXrrq6/hrxuSvzuyk7f0TrPZ+S4zd3+a1MYHecVb38b4jZfxna8f5Lv3HWb4cIE777pywY+rQvEjyv8NvAd4J/AHwFbgZ9bUohUmnDcg8YKYjqApKEyLMIqJW71vggDNsrB6+/DHRokqFcJUsm53Ok89rFPxK9RHXVKpzAKB1Src0PKWhcUi7gGHjj17zxhmBBA1f+OMri7iep04jvHjgPQyFBSK47nQyNaIJozD9kx3xkhTa75fbJWxU9EaFNe9kH1HC1w20Mll6zqRUhJEMZ5e4ljFw9DTpxxAt2bl4+j0FdKklJQKDTq7MlinmbRriQWjsxOjs5NgfJzY8wndiHrJY7qSohuIfR9Ooa+eLx8DJNu7ty3cb3RCiOAFSCgiglCgoeHHAX4QUw/rQOLZiFohsFIi47h9reZ7bqWUuI6DlBIjnyd35VUEgWB6ooqUkkrJo28wedYGze+RLiXplEGlHiClJGNm8CKPmVqBzkjHNDsQAkxDa4cjCiEhjgijuB2aq0nB+QgsFlFFcL5XrFz38YKITMpMzrcekOtMI8MQN4gYroZsjyQymBOk0xNV0hlzwRigle+WNZJlQZx4sE60X0pA12ilflmG3s5DTPLNzmxzK2fMaE5axPOrN0YeSEk+3UnFr542RFCImFCE7SJlUkqm3Rl60t0LCpeNT1UpVH26BnLkejOkcytT1AeW3mj407ZtPwW8rLnofziO4yzdLIVi5ZFS8uDow+iazi0bb+Jrj47wqfsOkk4Z/PJP7uaW3esXiCVN0xjoyXLn9Zu48/pNjM/W+e4zE3z3mQm+9cMxvvXDMYb6c+za3MNlg52kLJ1qyWP48VGkHyP8InsnfsBP+VMYoU9Mkk/V9aI7yN94E7krdy+YDR60+rnr8lfwxee/wmecL/ALe996TudnGjrveu1e/uijj/OvBYNffPO7ucJ5kPJ3vs3oX/wp3Xe+jDf+7Gv49n1HGD5c4O4PPcYrX7eHoc0rm4emUKwwxxzHecy27Wqz4NIx27Z/eq2NWklODBGMggCpG+iGAZqG54XkSQbnejaL2dODPzZKXC4R9ie/OZZuMpjtp1ytUHEr9OsLhwctgRU2Bz+iGZ4WNxpnFVhxpQyAke9Cm5qi7JU5OL2Pqwf3LFlktQZypVIDPZu8dmOvPRBLG2lq1AhFuCSBdfxoAcPQ8ZphTFPO8wz6vehDGxFSUhclphsNYANCnCyg4uZn1Bo8uo3ceP5EAAAgAElEQVSAejVYkGTv1gNmJmuEQcy6oVMXZWiJBT2VwuzvJ5yaJOweoNV8a6YW083pw+LKfgUhY2TXwtn++TlYy+XBOrGIQfscpMApHKIv28v63OCi9xeKkCjUMDSTSEbU3JCabN6HUhA3i41IKxEEwk3Cv+Z7sGQUtu2Kq1XiWo3pQtReVim7bYHl+3P9pzrSJoWaT92L2tX1ZAxBHCBEFtksLtEK2xQStDgijOWceG0KgnMtMjnXB2vuey6lxD3goKfTZLZdflJhlbqbCKxy0WV0pMzlO/qwooi65xOkUkwUBLl8SA4Ig5b4X7gPIQU6GmktESFhHCa2iBPXSzx4LaGka3P3+Zl6d53q/jAMrf1dgWZuleeTE51U9IV5cfOLcMQiIhJRW0zVwjrDleMMc5wb1l/bLowyPlWnVvHY3pzkMFewjc2Sg2wdx3kOeK713rbtX3Mc56INxVBcPBytDDNWn+D6wav53mOz3PvA82xNmbzk2o30CijM1Okb6Dity3mov4PXv3gHr33Rdp49WuDBp8f5wYEZxmfHsETINm+W3nQf0siwpfgMV8w+hgZY69aT27OX/I03kd25C+100zvAy7e+mKdm9vH41JNcO7mXG9dfe07n2JGxePcbruGPPvoYH3lghP/x5tey+cdexOSHP0j5m/fR2PcMd/7CL3H48it46L5DfOmTT/Lyn7qKHVeuO6fjKBQXENts2+4AOmzbfg1QAF60xjatKCf264mCkECLwKxjaDp+ECLCMElQT6XQOzvRTIOoVCLsSSZULN3CigWl4YBMI6IvKxYktLcmi6N2yfdm2NJZwv1kFBFXKhgdOfRUCj8SNHwfYkGxXmNdZ+8Zq55BMlirlDy6ek4ON4qFJPQjJqZq5ESA2ZXMescyxtBNrKZQDEXE+WY/SSmb1dJ0GnFy/GyjRDDhEfcMImSMZibXJSLAFOZJ27dEcGvwWC64VCse3b2ZdnK/30y+d+unD2mUTa+KZqXQrRSZa28gOjhDphESWTqlRkSMPG1+TSxjkBI/9smYyRWRccy8ityLDkU7G+7BA8gwpGPP3gXLvcijHtaph/UzCqyGF1Ks+mwcSASPGwRIqZM2TOpRnZobUDMSD1YkonbJ+oKs0R2l2g48GQtEO1ywVXXRQEYxUa2O29DJZC0sy6BccnEbAZmUTjAzC1joukaqOQ7wgqjtHRWxJJZiQbEG4TYFlhBND5ZoCywtjgnjkEbgkjuhAETcaGDkTs5XkiL5HlYbAbOlIvm+CpcPdRHNzrQbSme2Xd6ueKhpknJYYrTqk+/cyHShwbHJKt0DOdaZIX4YIfQsrh9SazSrizaFaXzC74gfRpimhi7B1E1CESUC9UTRJCXME1iakAhJO3TydAhxckifbuhEYUuISg6OTaM/dxir14Xt3cRybiKgVaY9ZVi4IiKcl5/lRXP3//HqGFu6LgOS75gExDxv20qxJIFl2/arSUrjrgN0ziHWvdmMuFXaJXYc52W2bfcBfwo8TxI//7uO40wuxUaF4nQ8OPZ90m4n5mPbODR5hF3oEAieffQ4zzbX6ehMcfmuAXbt3cC6ofwpxZaua+zd3s+eLd1UNj/F1HceZHy4wv7+m4l1i+3lp9mzBTpf9fN07NmDNbD4GTtd03n77v/EnzzyN3za+Txbuy5jINt/Tue5vi/Hr7xmL3/96Sf5+88/zXt+7ia2/N7vM/uFf6P4ta9y/M/+hE2vewOvftMt3Pv5Z/n6F59FCMnO3SvbdFShWCG+SCKo/hL4AtAHvHsxG9q2/XLgdcAUIB3Hee8Jf98GvBfYB+wB/spxnCdt235B8xhPADbwiOM4/7QsZ7MIWnlIAXXGvVF66wGzsogpJ+nXJIEfthuL6qk0mqZhdvcQzMwQVstoaR1TN/HrLpqQuC1PQBS1y36fGCIYhT5Fr8hgcObfs6hSRkqJ2dNLwws5PFGjXqpjBhH7js0QbUhx2eCZPWD1qs/MZBXD0OjqWRj3FguJiAR+FGHUBUanpOrV2T9cYF1vlg0drd5U5y8aWgNov1gkmByB7TY6STnzaqVBIAMyTZEU4SPkQhvn55S0BsJCLPwf5vJDgiBKQglNnbjRQHgeeiaDkcst8GABtHYtpaS7M00ljCmH0H8KD1Ys4rb7xJsvsKITioAsR78lKYnLZcIooFQZYyi/oe1FWGzRkYmCy1SpQSZl0pU38cIYQzMY6MpRL9SZrpehoxUWmIgoIWMKBPT5Hllz7nNoVxRsXhezp5dwZgavUgfypDMmqYzFD56dxJWSq/oE0fgEWucgutbd9o4JIYlljK4biDhGzAtZ07Q5r1niwYqJYoGYFyI42ZihXi4y0DvXTyqYnMQ7eoTcVbsxuxZ6LmUU4QYRk8UG0kpRriWV/Pzjxxes1/LshEaF2cYkYS1Fd12nXE/u/0LZY6ArxA9jYmkQy7B9X7Y8WFLKZgEIjWePFhn2qmzf2I0UMbquJy0dojlvX3dvlp6+HMeOFBIPXqvPV/OejoU8Yzhky+s3n1JQwoySqoyuHzE7Pk6HF5E20mhSntKDlTbSuKG7oN+dH88JrFmvyJauy4hjQeBH6KaOFzS9X+dQLv9cWaoH633ArwGHgZhEYP3OIre913Gc3z9h2Z8A33Ac5zO2bf9kc/9vW6KNCsVJ1IMGRx+rcsXoi3CJ8dG45vohLt/ai2Ho1Ko+E6NlRp4v8swPxnjmB2P09GXZtXcDu/asJ989NxfqjwxTeuBb1B59lFJgcrj/BmYHr8HQJHfc1MPuF79zSRWZ1uUGedOun+bj+z/L/3nyX/jNG99Fh3Vulf/2bOvjZ152BZ/4xkHe/7mn+J233sjgG3+GjmuvZ/wf/w8zn7ubjmsPctdPv5n/+NIB7vvyc4hYYl+94bztVijWiHHHcVqN7q9c7Ea2beeADwB7HMfxbdv+nG3bL3Mc5755q/0N8BHHcT5v2/bVwMeAa0mqFP6t4ziPNIs9Tdm2/XnHcWaW55TOTCtsz7AiRC2i5nlIQydjGfgEhEHYHljq6WRgPhNmKc8IhD5Nansyu+vWAyyMpCqelM2eOU2BJVohgsn/I+URfK+MVp1iCztOa1tUTCqAiXye7z1/kA5iQhEReyGxjHH9sw+2TxQlC/4mJFImnjUpJX5NUBR1IhnhB7I9qF+KwGp5nYJ6AxGFaKGPaIbRVUtVQuHT1ezhE8ogyQGal3A/P4Sz5SVoncv8Xku+N3ctXDckl4L6008ln4du0H/zC9vhbi3h2y46EkNXZ4pq4FKLEiFxYkntVuGPsCEYLs6Q35XHMPS2N7Ll1ZHRMggs30cKwVhtHK9okbGy9GeTCrh+vLgiJy1v6WSxQa4jix/GGFqG7mwWy9SZbRTpb6YmxyJCRCFCSmLDJD6hsInwA8Ccy2Hr6iKancWr1qEjTyptolk6uqExMVllR1YnjCWGFGgaxE2vSus+y5gpKrHfbo8ASaGHuNFAsyyEbCRiRMTEUYSh62gyJpZxu+pk+zxLze9Iow6nEFgtzybNCpL+8LG2YGx9vlHzfrKs5J4LI0EkYhpusyhILcA3fSIpENJAINr3YhjM3XciFgQRhHFMEEfUGxFkJToaUgpkFLfvXV3XSaVNQFsQIthS/acSWELMrSdP8GA1wgaFoEA66sCbnqW8fz/W1HGQOrqmY6ATzfNgtb7TKT0JYZz/t9Y9lrVyuGGDSEQ0GjFSgpky8JrnfMF6sIB9juN8ff4C27b/eJHbXm3b9m+TpGE+6jjOPcBdQGv7h4CPLNE+heIkwiDmc598lIHxHYRGyNHY4G2vv5rrdy6cid17wyaEEIwcKXLgmQmOHJzlkQeO8MgDRxja3M2AWcc48hzhxBiulafQ92JKqQEANm3t4Y6f2HXGEqXnwm0bX8h4fZL7R77D+5/4R37tul+mM7X4ohcAL7vxMo5P13ngyTE+eM+z/Mpr9pLbZbP1PX/AxD99gPqTP8QaHeWVb3knX71/jPvv2Y+VMthuL97jplBcAPyTbdt/D3zMcZziWdee41aS/K3W1OdDJM+k+QJrJzDcfP08cI1t2wOO43zphH1FwMp2t51/sOZAKZvR0UWMH4TInI5lGgRaSBBE8wbmaSolF09aSMMimC3RsfUyoigpN22hE8bJYHz+QLudg9UUC57XSKqFN0OuolhwfLrGZYOdC/IaRo+MYZkGM9VRptxpBoSHJMb3Qgw9bveQOhOtGfHWjLvwfdyDB0hvu5xYtPp8ScJIEFcFgdFASIGMQef8BFal5GKaOrnOdHsg6vsRCEAIRBwjpaRRqWP2gNEcKIbSRyA5WhmhHtbZ03/lgtCrllg70YMlpWz35wHwGgGZ5uB9qtjAC2Lco5MwWyEbxWhWMqj0gxgRCwwtKXedsnQ8V0+itsIQLT1XtCBuzvAHrkS4Pl4jpCOfbn/OeipNHDVO68EaOVLAsgwG1ndSGJmmd1M/VvrURQKE5yJkTCRitCBcUJwgOI3AOj4yzez4LFffZKPrWvu+rjQCKg0N149IY9Kdy2IaOpWgQh8dGLpBGEcYcYTQITL0uTyeVkl73wdzTmDp6Qx6Nos/3UDmIJ0xCYQklbPwqgGj41WiGNJmUnzBDWIwIGh6+9JGGhFX0eadlwx8ZBhi9fUjpipocQRxnPTn0gERJ/el0NoFJKQQ7R5xwjs5rHNmssJYESwdEAJZKhDEhSScUNOI6/W258k8fgSto4HVYRFGAjcICMJkmO/5IeVyHZDEUieWkjhOJgJaHixIJgPq4ZxHq1QLkD0xGhpSQhwF7XDSdr9nDbRaFcZCGNqDjOcmD2RTZPlhzFTRZbxQ54pN3Qx0ZxOxNc+DFIoIzYA4iPGnp/H8IJnk0bMgJYZIKni2Ji9aoZqtPM4TPViappNPdeCGDbzYp1ZrVhZNGbhNb7FpXrgCa9i27X8Bvgu07oyfBV6xiG3/rDnbZwAP2LZdJQk1rDb/XgF655eBVyiWShhE3HP309THJZXuKQ7V89x1+46TxFULXdfZuqOfrTv68b2Iw/snee57hxgfKTMOwE7YsLO9/sbN3Vx3yxa2bO9b9rLnr73iLvw44KGx7/Pnj/0dv3z129mc37jo7TVN42dfsYuJQoPHnGm++J0jvPaO7ZhdXWz6jd9i9oufp3DPl4n/6S/48bf8Cvd+t8x9X36Ojnya9RtPnXCtUFyA/BXwQ+APbNtOAZ85wQt1OuY/fyB5Bp2YjPggcAvwONDqndAFzPdU/SrwJ47jlM90sN7eHKZ5/kUXWgwO5hkreYRSo3u9ZHTKwEobpDssenqyFDrA8jW6cjqprgzdQ70cPlanK5/FHOpHzozSjySbTtGVz+LW0pQti3ROpzefohJDd0+Wrq4sGAaalhwznTKoCUk+YyU2zNRohBJMk8FmzoyIIp4LIvyMTqRFaBWTVCqNsHQCKcnmTNLZFIODZ+6sFYeC0Ivp7s4yOJjHm6ij6RGTpecR6U6y2QxhEBCLBpl0CpGKyWZTZDIZBgfyFMjS05tlML+4Dl5hGDM5UiGdNdl6eZ5K2aWS9yhoYKVSZLIW6UwKK22Ri8Dot8ilBZZmUPEa5PUMkVXGsjR6+rOkTJNqPsmI6OpKzqE008C3THp7cvT05Qj8iHxnhnxPhmrZI2VZ9OYlZlcGLTDJVitUCyW0qkdgwq7BLqQQHDowQ1yP6OvK0JXPEFsGgk78wGVDdxpr3jmXPEk+zCLqAZrU6OrK0jfQQS1yKQoTU8uQy0b0dGfpOOEzCcOYSbMCEiYOTuCOjpINawzdft0pn3UNr0w1FZHNpSBlkO9OMdiT7LOgmeSNLLqmtT97KQQj33uUVLFK2rLp6cvTMdOgVYKuGvpous6m/h42b+jHmR2hqofk81n6ct1MVgvoKYPASGFldVJaQFdXElYZNxoI32dwaAPVgonXlaF3qA83qlMqHcfKGGza1Euh6jOwvotCVKZQCrAsg3zeYv2GLqZn6khDI9eVIk+Wgc48sxM1pKHRlU9CEbNxja6uDPkdm5ieKiIaATJnko1TdGQtglSKdGySy1n09mUZr03RHZrkm/lYqaxO9wnXvTg8jW7opKwU6ZQOkUtXd4beG65jxjlEJAIG+nL446N0RC5aUKd7aENSjMPUyGVTZC0TdA3PC7BSOgIdw9TJZS36+joozbiYzQIwPT05gqpPVz5Ll5nGkBbZrEVnRwZCQVfOxOjNUS14DPR3MjCYZ2qihuVX0Wtl+ntvojOXIpe1yOYsens7ODBewfUj3LhBQR+lKlJcNbiOmfEqpmXM3QM1n3xXhkjopGMfvTND3LGRjKeTzqXozWc5eswj7I7ZtKWXkp7BNbNsGOylpBXI59MM9iX7Sns6eaOboXw/rlGjs9vCLWnksha9fR1Y6SQkdMP6ZGxztt+g82GpAutNwNeA2+YtW1QfLMdxHmn+H9u2/R3gTpK49zxQInloFZW4UiwXcSz46heeZXykTLlvnKO9Y2zJ3cGrb9t21m2lEPg/fITsl7/E1ZMTBFYH8fUvQr/yWrSOLjq6EhFyYuLqcqJrOj9jv5auVJ6vHP0Gf/7Y+3nxZbfx8i0vPmVj0AX2S4nXjEl+52t288cf/QFf/u5R8jmLl9+0GU3XGXjt60ltGGLyIx/C/fD7uf1Vb+OB/fCVzz7N695+w0m5DwrFhYjjOP9f8+X3mzlTd9u23ec4zunj2BJaz58WXc1l8/lvwG/atv0bQBGYBdrJELZtvwXocBznj85mZ7HYONsqZ6RxwKGnJ0uwbgsjxwrUSh6FyTrVkYCuwKees2jUfYI4ptyoMTEyg17z8It++9huEFNvRDSKLiNRgWrVI/ZjfC9mtlQlGi4wVTfId2co+hF1L/FWjU+UmZ6u4JZdpq0yfdNVRsfLjB2dpcPUMJveosB1KVUDaiLAO27g1yOqWoAZRLh1H6k3SIc1Jqcq7fwNgJobMj5bZ9uGPJZpUJitU6m6aCYYKR1/sszY9DjTNThm5NgUXI7r+VhZgdsIcTUPN4wphz7FQoNqxWVaVjG8xf2GlYsulapLdbbGqDbCRm0TpXKDctmlS4+pHi+Tq3qYGjRkRLA+g3F4FEMY1HvzTMTTdJh1TF1jbLJAUIFKNcnNiaUgnTMpFhpEUczMjEkYx9QqHpWqi5U18LyQWs0n44c0yg3qVi9WUKQvrONFAaXA4IfPjtOhaRSLDaoVj05Lx0ASxgLXj/GImR4vYnlz51X0ylQrLvVaRNQImJqsEEvB5OEZJqd9TN8nHXjIngqNXHXBNWnUAwqjk2imSVQuI9yQ2ZEptPsfwshmyey4YkE4ojs6zWSxgBcFiGKVqdky2TAZzE4WStQDF9OwmJ5OjhNMTlKdLeMFEaNHJghjjdlCndZdMVKcoREGmN06lZKP64W4bkBY16hHAeWKS6pWIzAklYpJ0Q0pWQ3SqU7CikfG95mertKYKhFVPGQ1IPQlpXJAKlehUKwzU3JpeAGhEAQVF8KQjOfjBSH1mk8hitCNgIblko083FpEFMZUzOSz9UvTYHiI2KTihgS1BmGpRqnmEocxvpWIHK0ac2R8gudLR+ktRwxWmh7EsECwfuF1L85Wcd0I4gADg0a5RkUzqE43cA5Mk65XMC6fZGb/YVwvQCMgDCICL2ZkvIhZ1xnoSDFdccmWi7i6jhZreGFEo+4zMV5hdqbWzquamqxyvOxSrQcYVlLtcmKyjOuGuEHA7GwZPVOjUnVJl0ykDqVyg0p9luFCg8HhSWoVj4YbUq54TE5VmJypousxRX2EmutzcGyUy3v7KJVc0hmzfQ9M1ks0XJ+g4FPWdKYNqGQzZL3mfZ7XqdcCJibKpLIms6UaVc+lZoVUKy5mUKErrhKJiGKpRne6i7qIqFZcxkSBmTFJwwswXRfTT+RPqVhnw/rutg3nw+nE2VIF1h86jvOB+Qts277rbBvZtn0lcLvjOB9sLtoJ/BtwD0mYxghwe/O9QrEsfOdrBxl5voA26DOy9Ydw+CZ+6Q27z1imUwpB9bFHKHzpiwQT42AYdN/xYvpe9epzKlaxXOiazqu3v4LLu7fyKeff+ObIg3xr5CG2d2/lsvxGUs0O627kUg1qVIJq+18rsdjSTQauG8Qd7uSTDzTIpk1uv3oIgK5bb8Ps72fsf78f88sf5tpbX88Pp/P8x2ef5nVvu6EZb61QXLjYtv0e4BHgl4AXkxS6+OAZN0r4HrDVtu10M0zwduAfmsWXIsdxKsBG4H2O4zRs27aBrzmOEzSP+0tAp+M4f9TMz/Idxzmw7CfYIo4JZguUjV7KMw30ZoiYISAUoJsmGmBYRpKPVGuQ1SCWye9dJmtRq4MQGqYArxGi6zr5jMUs4EUROT8AsnhuyPwAuzAShE2xFQYhMo4pz7oEbsT0aIWtzRLjfsOn5urUADoEmqa1S1RrUiJoVTETpFPJDLrrRzjDRcJY0Jm1GOrvmAuna4YeNbwKZa8CRg4jZ5JJGYAk1AQD6V7cSAAuyGb1QyEI9juE23Ss/oG5S9hoIMMAs3tha4p6LZmMqgY1IjemYXo0/CgJ0TIsRBDhhUkImwxdpGaSCgVpTHQpKUUz5GQK0AjigDia+92cn4MlJUwVXTq6Mu0CF6m0iWHqBEGE7zY4Vhmh2J3isq5OuvWIfE+aRsNgfKZOv663c2+MZl6LZei4ZlIQIheG1II6uqaTs7JEzZAqGSfVBCdmq3T2Zgn8ub5pkStBCEIRtSswtj7LcGqKgR4DIwVToQXZdBIK6LqkNrkYucRzKaVEuC5RsziCDMIFhS380MfcdxCtu5u4cwfuwQPJfprn4lVqQBJ2mk2b9HVlGB9Ntu/rzGLpFq3HdlrPYGhJbykpIiLDIKoblOsWU1bEtm0dhDMzxK3iE0GAZhpouo5MZ4gFWM3cnVap8+7+HKXhVn6PJJtNjhcFMWEcgZU8izWhExMm97QQCLeOsT6PbqUQmgFSoIXB3P0bNUMjxVyVu6SFQSd6Oo30/JOa5cZh3CzsoKHrOloUEcUax8aqSE0njGOiWo1SXRLFYCJIGwYNoOb79ErozKbQw5B+mSbu6KHU0JohvxLfC5v5UzpCCKIopu6GpNM6pq6jacm92LIpDkO0E/pXxaGfhJ9qGrPlKQwjl+StxbJdETAwy/R3pvHDpDphEEYLzjWcncF77ofoPXlE3SXuyFFPpYEAw0gRRgFas4Jn1Mx/bBUYSRlJUYxWiGArBDVtpNvhg43Aw/N0qlqBsj/OlsxOLN3E0C/QEEHHcT5g2/YVwDbgm8DGZi7V2agAr7ZteyPJLOEI8EngK8Cf2ba9C9iBalqsWCb2Pz3Bc0+O07cux0OXfQMRZHjDjbcw1H/6PKbG/ueY/syn8IePga7T9WN30H/XT2INrn1O0p5+m/fc8t95ZPxxHp54jMPloxwuHz1pPUMzyKc6GerYQD7ViYZGOagwXptADI6TGTjIR/c9z0z9FfzUzTaappHbZbPld3+P0ff/Nf3f+xw7rn4Nh2fg2/c6vPyndi976KNCscz8PyRh6x8Cfs5xnPpiNmqKpncC77dtexp4ynGc+2zb/nOSUu9/ShKt8Srbth8jqU74qwDNPlt/CTzRLA3fT1IAasUEltHdgyxNMnNsGiEE67b2EP//7L15kK7ZXd/3OduzvEvvd19mRrO0NGPtxoMRmGIzDnZsQyB2SEygYlWRChgcbIyNARMnLrtcYDvlcjkOBTLYxAWFAZul2IRAhEgGSSMJLS3NcufO3fr2+m7Pdrb8cZ5+70gI4ujOMAL1t6rr9u319PM+b/f5nt93MR36uZgiojONlhqjFYGWblExWBsuAxfKgSHIRLBi57F4huOcsEgbjsa6RKJ0ie087kX7kHnb4HqfRudTkeqJR6t9kY9oMamIgBcgImhtwNnk4Qhh6ctpnV8SrGu3p8vQjsm8+0SC1f9bVem0OXYdYpC+dp4r5j75ZDa4SKYnjNQK1gGtJcznuMOjTyBYzbNPp3js1/0xmmgZZUNC8Ozcfo6tYhPrLZkV1KFL07sYyLSijSGFKfhA6BoUY7IgGeVDVPB0wdE+M8M1jvYtl5YbQ0gerEk7o7EtthMczWoG4xzVE6y8J1gAi2qOD4FGOty45Nb0GhvleUaXL3E87ai1phzlHC/a5UYx05KoDe3M47uGnaPbFLrgic3t5fXWwnDULLi2e0Q2LhGTRGjMoMBOYFZPeP7uMa/eeIxRNmRhK37n2vspvMXIAqNSp5m5fI5czmhv3YL+Mev27tJeu0YMgZAbtE3x6dYnEhdiwLU12gU4PMbt7xHqGjUYYLdGcOcG7bwixEiIESXg7FpJvOlRQrA2KMmUWYaX5LJESU/ovTleCKJIHrRZHfBSo1dWsNMpYatN98xJQEhM95yRPent7+HxuMDnjqqBQkXy0qQUvc6zmAeUioggkEJBjIQYCNMJOaDXU5CH7yV3omuXJDilNcrk3Wvr9ByYzVBnzyLzEtsepPW92DdnU7GvNBlSBugstTe0zi8f8+OjimkF81qyNYJcKaSIuGBZH+UIAXnoWBlm7K8oRNV3V4W4DFYRWuCqwGzR0fqW1fGQqRcIBK5z9xICnf2EWPr0nE/3j4iCw9kBRg6RSuBDuNebJ3rvWqZprGNW9d+33060N2/irEXfuYuoJLYoWRiF9CCloelqjo9rQhRLgnUS0360WzF5IVA8mL7miVonVxm5yhBCUDUN3pd0qkUDh/YulwaXeTlxvzHtXw98F3AN+HXgn2xvb//Uzs7Ov/n9Pm9nZ+cW8JWf4l2HwFvvZ02nOMUn43B/wTt/8WNkuWLy4AGejq3m9XzJmz/1k6u7fYu9n/hxFk+9D4Dxk5/L5l/8KrIzn1ndUEZq3nLpSd5y6Uka13C33k+GbyKlLljJxgx0+SkJUes7nrr7QX72mV/h4OwNfmHyIzz3i1/IN33pl6KVJL5Ub90AACAASURBVDt3nqt/+7u4+c++n6sf/GmOXv01PP2RPc5fuslr//jL+0vpFKe4T/ydnZ2df/TpfGIf2vRLn/S2b3/R628D3vYpPu+ngd9fp/sSQ6+tMrl5m2o6xQxWKQvDzAc0qZtHZoZCFzRG4fB01iMzQ9ufKBelwQvShqUGskS6WpFOs6132NYtdwld4xFZX7J7PCe4iLUZXRYItuuJW8Tv7TK/kTG6fJH5NOnTzFogOysRRxo5F4BGxMjJ4XHXeRikycestgxyQ4yRadUtN4Jwj2B1XV8gaz2BADFS5Iq5FjRtIKrIepGIlHMREUKfgHYvdyTYjun+hKNmRnX7d6DMWcnHZK6kcx0zP8NHj7eK/dmMeSXQIk2IZAz4KLA+EIJFW9ufhmvWxZAjJtibcxySqqkoXNrQa6NwzvPxo6dZ1JJBXCcGaDqPbh1SCrSRS+N9W1eECE4JqtUBcrRB3ZxhQE5wFW3w5GuGcpwzGueJ1PhIXha0h47j+SFxLS4jq08IloyKeWXRhaNtO8R0TjbIMKMBTYBFOweGVK5mlA2ZdXP8rKV2DVk+QsaAGY5TAqKWxBi4PrnO+fJVMJste7RCphBCoayj61P9Wt9BuNdz1N29mw72Hn8Cu7OH3r3J7HCG7SwTe8CRmPFAfB0X6kOaWJPpDCkkmUo3ZiFLoqgJ1hMJIBVEQRQpSMJGSbG1Bfu3sHd3id6jTpIxheqvx0kPVLq/BkZQ60A+AqMiSknyQuNbz/FuR+k9cZQmPMq1dIf7cDxFrhnM2bPLr62EIHTNcjIWvQWV00wDN6oJ5ajCe49aWV3+nQ5ti+wJVowRZz0hRoTJEKJFeIuL/bTSaALQVe2LniOBUiokaS+wOjIQwDcNvoTW5Ehp8TLig6euOmKEG4cV9bRFz+fczW+yZR5Cx0SwrHV0bQqq8NYiTwhWP8Fq6hTSIYWirRccuz06JIVXWOuRxweI4RQ1XmWQeRZzx8Gkpqodw3H6WWWWEaJDti24nG68ho01HCu6qJjVHcfHkllUuD71MsSA72AyrxFB0NRdskP008Fcp0qKTGVUVYPrFEJGQDD3E7x4efd09zsb+wKSvO9jOzs73c7OzleTJH6nOMVnBKz1/OJPfQhnA2/4ggd5qv5tiIK3fv6X/y7i4WZTdv/tj3Dte/4ui6feR/noY1z9zu/mwlu/8TOOXH0yCl1wdXyZh1av8qrVB7gwPMfQDH7PaVOuMp688Gb+3lv+Bl9x5b9AKM/H9C/zd3/y33F9N50Oq9GIS//z32TwyCO85uM/Qy4sv/n2Z7hz8/f17p/iFK8oPl1y9YcNlVUczAWhqiiLlIYVRECTTnaFUZS6QBuV0tx8QGizLBXNck0UnoDC1SdTrQyFRyJwHmx7j5C0tV3KAveOJ1ibYa1hMpdEa+lcQFZz4nzO3keuUVcdi2mLFBAzCVqiswwhJcFnuKmEKiZvikvR19eOb9H4mmGhWR1lhBiZV/ZFE6w+VrpNBMt4QfABIpSFQiioakfw4V4vlQPvPTf25xwczJJ8rWnwkwm3DxfcnU5wVYOUirmtmFXJn9aZ9D3qxnNjf4oQgs2RASEQMVC7muN2QiSgFjW6l9NtqRWEB0XaOFZVi3MeIQTGpLS7VFDr6fqfu+4cXetSVLgQyzLltu6ISuLxBBFw+RBPQIskX2+sIwDFOOfqQ+u9zCsyHJZ4H/nwtRs01hOCxwe/lFDV1UnKmydOpngfKddW0ZkmRqia9LOffHzrW3zVYUNH/vg2w9e9Dl2kdEWhFLVvOVwcsFcfQD9dEIMBfnMNlecYH3GuwwfPtJ0iXtxlZDvUeEyUkgC0Iudwv+HWb/w24cZHiSLw0cOPky2OGM0r6BMPx/mIQpaIqJJE0LmUFNlfO5WlDbj1ArO+gZAyTdq4F3EfTqZM/hMlgoMXjR5k/75ykAqHffS4NoIXSCRmfx97cJA+5urVJA8MEa8UmZaIriWEkKpaYlj2kDnv8Mc1Pnr0ygoiT9Uvob1nmvM+4PvUQmXMcork+lj0wSDdY/WiSRJeqWisZJBpLm2t8MC5Mf5ETtc0RGWwTiCFQOlACCk5tLUeYSQ+RBZdw8a4wOQBpZJE0FnH4bTleNFiu3uSxxOJYNskkcBqtka0nsbVVMzwMdI1HfrOC2TXr2OkZlQU+OjYn9TcOlgsU0mjtbgYkALQknowpOssmZTg+8cpQN16pr2EN8RAc9hLZIWiqR3Xnz3k9gtpj3IiDyxUjq0a7I1r5LPp0tcX+NRl3C8V7pdg3dnZ2fnk7NOXpgL8FKd4CfCbv/I0R/sVT7zpIj/99IcR5YwHyke5unFPJhJD4PjX38G1v/O3mPzqr2DOnOHi//TNXP72v03x0KtewdW//JBC8mcf/SK+9Y3fiKFgtvEU/+sv/wj/+N+9l3d+4BaN0Fz+1m9j/dEHePzG2wkh8Es/9SHa5g8sgfoUpzjFp8DxYYVZGTHMOornd8iO9ogiokmbdp2b5FXRBh8DPkREli2lfdpIoop4oeiaVC6aFxoZHSiF8+n0/GQT1cxbZvs1tnF0tgYBWitaJ3CLCjedImcTApFZHblx7YiutRgdCTpJEfPcIKQgRENoBKKDatLQWc/CVlw7vsnEHTIoNKvDtHk8nre/y4PVtSn1TCDAOoSIFD3BqjtP8JGVQdpczScdB9c9nYvUVYPb32f21Pt44amnOZoLJjWEyrKWrxKCZ9LM8RF0n1dULTzOO86ulwyLdC1kCDS+YUpFxCEW1dKvlCE475IkGyFoqgbvAlqn5DYXPMElGad1gRgidZV+n554XLWR/c/Z4JXC44jC4V2aOighIPQR7TFilEQIgZRp43354iqjoaZpZyx6CVgXOnxMMjrXCQgBdXRA90LKaCm21jDZSaR32uSf9Ao1tiXWFp0JDmOFLEqU7smtkMl/EyLWO2JfRLvYukpnSkReoKQidh07R0/zwuzmUk4IEIio1dWlN83rnBACi9qh53OkFLTTFmuTJyx5luDh1Ye4kD+A8xEtFbGfoIo+dVDm/QTIg9Ca/Ny55fc8KWmOISY/1nIiku6vUgP9Nlz2MrTRSoExiihjevxsRIaIEoFYZORXrmBWk/fQhwBKo5VEdB0uRGRREEVMDcSkaaKsayIRMRzem1q9KKo9+LgsOFZZxknNVOMEx7dmEE+IeJMODpTCWoWKgrOrQ0wv0/NVBd4TygHdIiCkQGVhGYPfdh5lFBsrBRsjw8ZKjgsOLQVKSJom+cy8UhzNG3xfnHxyv3XtDCUUpR7w8PAKpnXI0OB9xM5TjHwUESMNhc4YDdXSi7mUEHYtXkvYGBE216idx1lHpk26f6Lg3EqJAG4fznn6xjHOe3wLWaaRUtJMHW1jmS9qhJAUquD67ozJNBCrji50GNctC7aDuP++t98P90uwzvSpSWvb29ufs729/Z0kXfopTvGK48a1Qz781G02zww5KjW74qMA/PlXf+HyY7rbt7jxj/8hd3/4bQCc+cv/LQ9+7//G6I1v/qzyGj26+SDf/XnfyprZwFy4xsfdu/mhn/sof+2fvpO/928/wK89/mcZnhnx0MFTzGcd7/i5jy5Th05xilP8weP85VVe83mvZj5Mk4tVXxOFR8XIeKVkY7VECYkxGRB6H0eaYCklU/iA9KAU3kFR9tOT4BFK4YXEtpYs1xSlIUSQAlzr8L6lNBphNBDZ23mecPsmeMe4iGyMJaOVgug9uYk4KQhOYFRGNlKMCsH2w0PKUtK1HW3rWNgFrfW46BgUhvHAoKXkub19dmeHQJIIhhhwtkVLA1EgOocgYnLJYKARpI3/yiD1M83nXYp5d4LQWdx0gvMwrwI2RKyVxDkM9AAXAnuHC/aOaprgEVLQ1h4fHMNCo09kXMESItgsw9EhFnVaDyC9JVYOYurGqquWG5M7TN0UpQQuOLwDT1iW1tb7B7R7e3C4S4xJkhZDpOs6vFRJCoXDW3Ax4F0kio6bixvM7QIpI7VrlmQ404rhikE4B72crPM2dVLdPoCDYwaLOaapqBcdsizJV0YoJQki0jaByS1L0x+kVfM5IkTUMOegOaRxLTeqW1RdQxSCzllu7805WiwI1mJjn/x4y2HJUEKh7h5StQuMyrhQnmWYpY7IGCN6ZXVZmBxUIhqLOpXylnHIynSTkTzH+eE53PExAKrvT3I+IE8mWATiyd/ttQFhWGJ9+v/o4VdRXL2KLEv0WvJJBd8Tsk+aYEkfML1M80Q+OBhmbF1eQZwQ70mSyhkdaFVkIey9YmkfiUojpEBLgXMBWRRAWMojCQGqjjgo8JL+/Z84wbo9u0vVpYmqVHo5waptGoTJfgLX1UnmF6XAB4kMSa4XQ+95O0zPHztax3WRfCARKpH1GKHz6YBlfSWnyCQCsL2k00hJ21lAEJVmuuj4yLP7HM1aOht45s4BdB1SGgQCX9fo/Qn55DDJjBcLAmkyZZRBS82Z1YIrZwfLax5DIFqHyxTxwYvEMqduOpz15NqwtT7g/MaA1SJjfZyjFNw9nNPtHiT/ZanJjE6y5eBobMdApWLqWwcLJrNAbJIPMCMsO0Sj/MwmWH8L+DPAlwI/B2wDf+1+F3WKU9wvutbxjp/bQQh47Mkr/Md3P43evMNGvsFj6w8TrOXgP/wUz3/vd1N//GOM3vRmHvz7/4D1L/2yNMr/LMRmucF3PPlNnB1sYS4+xxs+b8JjV9bYPap4+wfu8r+bP4FvD1itd3n2Ywf8+E9+kLv3GTV9ilO8XNje3l5/pdfwcsIYxaSDZuMcq2fWifUc4QP4gNIaJQRKKrTKQIR0qq4Nzga0SRuzID1SJWIw6nVRMnqkUtigCc6jjeL85VVWz6cCYdd5vGvJjUFkmkjkuPKEckRY20CtDFkZCM6fH3J+U2JUJChBCClcYeWcYm2lY3WQUYxU8l3NOua2ous8gZ7MKMnDl1Y5sHd5+vo1Fs8+i10saNoFhIhRGqJAOp92MjLywPkVttYHDHPN+kqOFIKu9kQfsC4l7qV0u3QN2zIDIQjzwHMv1Dx3e8a8cmipsCGgjCB0KQ3OaBgPBONSoFXvacoyAh4Z4jJ0QViLr1sioKSiWVgqWzELM5SSuOgJNhW8ds4RA4jbt+gOj+BoHz+dpJAL57AuEHrJm6PDdxEfHSEEfGxTRLY7Zs/d4kP7H2Fi03QnhkjMJMJ7htf3kTfu0HmLd4545xCxWJC1LWSa6sJD6AsXyTKFNhIXA00lcE1kclAnT8vhFC0Uq+sbtK7l6eNnaUPD3M4JSGZNR9dZDmYLonN4qYn95Gfmh+jhCHE4Qd49YD1fZStfSyW7wwK1uYEcDpfkhn6SM2/T1CR3Eh0lSuQooXDHx4mU9QY+H+5NsGJitel6bY6R5zeYLOYctxNc9GQXLjJ63etRo1G6//tJk4iB6NxyUkpwZCcEC4i9zE5JSVC9xK+LaCRGBxahYa/ax514uUIk5gVKSozukx6NSdOqE4LlQiJFZYELDpGlMIbQtv27HTcnt5k1UxASoeQ9SZ7rp2tKoWRK+Ysxps6wIPrJmiQGcIs5omuIg4JJ3QepjCTInlDGSBfS9SwLvZQQH91tqA49xmgIKQHUDHKEiATrOJw2fPDpXW595KPYqkWYIk2+F3U62CEdltjZghB7iazU6XkLIO753mLX4gmgNVIqpBTUXUN0YJTGGI2UGnwq0s6MQhwd4p+/jZhXaC0pyvR7bNoscC6QiYL940RWRVT4xuKCRUfHUPfkXry8LVD3myJ4BHzdi9+2vb2d/x4ffopT/IHhXe94ltm05fVPXuHHfvMaYvMmSM8XXH6S9umn2f3ht9HdvoVeX+fs1/53jN745ld6yZ8RGGcjvun1b+X73/sv2Gn/H/7KF1/h287+KV64O08vty5y/lf/PYtsncOP7vG9O3d5fPscX/EnH+ChC6dlxKd45bG9vf0ngB8Ddre3t7+IlE7713d2dt77yq7spcX12Q0mlQdyNs5vEe7eRNYdhEg8maYIiTHJ6G29I/QbX9NL0KLySG2QFgrR0e3egQhZoWnmkhAcxsgkKdKSsjSslAZfGo5ugCwNfu5oo8atn4EIThxDdISuw1tLJBCVAgSZNAiZpmc6KrKhQGuYTRri5oTWBZRgWZ2xPs4pC2irhk4r9N09qgfTFiMzKcJZdB5BiqiXUnBuY4hwCikERksmbZKv+SDwPhKqCh8F2YMP0tx+HlErZBvBG4aFoTMBYYcEGrQ2iBDQ2hOiIzeC3Ahuz9LpvlMGoeVSHhhjpKk6fNOhVCRDUrsIGVA4gkg+qODSxjLEgHIW7wIhh0yBn81ga8jRpOJ40ZL1SbdSCmwvEQQQBISEKsyQQgMlu9VdNuJZQoiITCFCIJ+3SFzyUdUV3oOQBqU1dmMVbMT7iMlUknQR6AP/WEw7mq4l7B4jheHMxctcC7sc1wukEjR1SwCqtkMow6JtiDYjiHIptwND/thj8K7biKZN0smqQSIIWxuYhx5CCLGUq2XjFRYblq4+RjhJHhR4369bJiJUVegsTXycDzgHoXOJ1AmJwBMFVHHBZDJjsb9Hl1WcFRc+4TkUeomgkikdbznBCh6jJBHBws1YNHNGw9UUha8C0abnVp4J5gJO0lpcP/XxIdJpuDnuWDu0gMIGkUI4+usigk9pmkphg2cgBCLPCU0iBZ23+ACds+QiR/Yl3wDdyaUVPYFbeEIUyFxBBXgS6QxpIiaFZ1dWZPN9EDBaLZhLQYwe7z2eyLA0aCFStL6N1McWIWC0JRExIBCM1odcLiXzgea5w4g+3iMc3CLikVmJ0JoYHEpqDJGmr4dQOiCipDryRBEIMiJ06K9ZILS9fNVoSlUgVJOmow4ynX5ndC7StzogRITphOBBWofSiqJMo8XrB8d4WvKYszfpvZoio64tnoAhMDBFIviLKcG+fHaH+00RvPop3vy9wDfcz9c9xSnuBzefP+JD77vF+taAZzvHncMFm59zh+AEj//q07zwG/8ahGDti7+Eza/8alR5WqD7YmyW63zzG/4q3/eef8GPfvQn2CzWefTCw4lAvf4i4Ysfofy+H+T98jW8yS/4zZ27vOdje3zuE+f42i99jFF/knSKU7xC+BbgS4C/0Uev/xngnwP/wyu7rJcWla25MT1kTVxmsLHG9O4NZN8fFE+M/kKhdYYUvTkfCaQJlg0OoUBpw0BC9/y1PkYaRquaaZXS4ZSSSzlwXmqMFlRti5IGXWgW589Sjc4TW49QApQhREu0HcFagpQg+kAApVE6QwuFQqBywcZazt5BzcHuMS5E8kISYkAKmbqYsrSJaqOl6Dqqm8kzlI1WiYczhAtpwyUjfPw64WBMHJ/Hu00kKRadmDqnWpcmR14ZAhJvPFprhBOcW8lYG5zhZn1MXedc2K/IQ8VhZYkbCh/vbcRi/3pEIvIMLQ3WRfankaltwXbkBUhk6gxSgqwU1KHB9x6stJkPmAg+COJgiFIdfjbjmbbk4HhG2ybvGKRJircR+khxbSLntkpGZzSZkazmqyzkIV0fQhCNRAgS+fId3WKOrxZ4L4gra4jzQ0QtwYKPEW0U2gUcHvp+ohADd6/dIlQWPd5g88w5nnrmJkdVxdlsgPMe6yO17RBR07WWg1nLc9Wc1StjhEwpdNokMoT3jMyQ4BcIIUGlxxpYEqw8U8RigG0O0UFivCS4RJLVaISbTgltgw0a21jqTPOud91lPgkMiESRpHNRCFQmsDXIoJk0M7aKc8tJY1pORCiNEKR7NUYEAuEtK0PDQkUW/pDbk5s8OlxNskTd+6+EYJBJrs8a5gPPEOj6+8L7wLHbp9waY2nwdp0uJr/S0n8WIjEK0GpJzGSe45qG6ByNb7m5O0d1FqUcQsjl2kMv+0QIMq2IpBAbWSSCJVx67scY8c4TpSXKnDZ0jM5qRmVBFIIoAk3rUFoyKg3aB0L0tLOTlEdQqcsBayXBl0wWDaNBZHWYIQ9nWDzTSxcYd2cQuiG0Lv3eiZ7QVVjrEcpjW4PeawlS0BaBuBEgeNxzT2Ozs0muaDSlKciGkna/RkYYjwroJNaBDhExW6SF1XOcAmk9WktGozyFpKgaOvCtorUu3X/C4Ork1ZRESmXQNmJuPU83uggXXx5n0/1KBD8IvAP4NVLvyDOkYsdTnOIVge087/j5JA184A0XePv7bnLmcsP44C5f9wtTqt/4v8kuXuLKd3wnZ7/2r5ySq98D54fneOtrv45I5F998IfZrfaW75N5zpPf+t9zOdymU0O+spjywLkR7/rQLv/L236L5+98+o3opzjFS4BrOzs7z5z8Z2dnpwaOX8H1vCxYy9forMfLCr2ykspCJ+m5d5KOpoQiMzlCQsDTVy1hMoX1FjMQjNdyxoPI8WTBUR+rPhhIpEkbQi3C0jaSF4bWd/gqoIVBZ4qoBHXrl6WhUekkkbIW39mlxE2KJP151fpDnBlsoaJIyXxnSrTxtNNInMFIZ8tS2ta1ZFograPpJzfzO7cBKMarxCgQ1qciLBlhOkd7S3f7Fs2sQobYZwok+VjnkiclSIMPgaA9g+GQrdUBV1cN5xgxXkTKpiY7rsmblmw6o2ganHtR+ICwKKGQKMgzjNQczKEThqEJrBWWUQGDPBWghlhwd9JwUE04mFV0XZJsxhgoRCQEEHmOGg5wsyl1YyFYYhQ0VmH3YHr9pPsnXWsbHHmmyI1ES81WuZEe5xgJIeKURCBQMR142fmEsJinGjKTMR7nqAKUkQzH+TK90BMhwqDM8NFzfHMX7wXZ5ibaKDK3zlivgUsyq4OqSmQ9BvCe5w53OWhnHM7nqL6Q1wgDWpKhMMoQfdr4ImWK2eee/0kLkm9JQggS7QU4hw+gxmMAYtty986M6qhhOm/xNqKcQqkhIfY/RwgokxJ2R4wJMbCwnyhpD30KohQpxc77iJKC6ByZ0aycKRAI2jZ9npKSKAJCCaSQKCLWByoX8BE8iSjNu4qFnyGlpLu8hd86jw2JsL7YgxWBqNQyrfGeD6tlVtc4l3rAikKipOSEG/qYfFIISW5kIlxCovouOXySp8YAMTg8HeNzmrVLmnwoKXvCG2NgMm+RWrKxkjMYpse8mbzIm+RgPndUbUbbGSaVoJrWnBlqHlzTtGWGKIr0XNAphVJLiZECujr9jARiEEhSaIZ3EY9Ddm0iy4eHScKcGUpVUKzIRHalYDwaoIyic5FoHfJwSti/w8LPCSGF3CglGAxyxpcUagQgWMz7cJKBQQChSQcxSgpKJchbhxDpe75cuF+C9e07Ozuv2tnZeWhnZ+cycBX4Jy/Buk5xik8L7/61Z5keNzz+pkv8+LueR4vI51e/xdf80hHltGbjK/4cD3z391I+/MgrvdTPeDy2/jBfu/1fUbmaf/n+H2Ju7/W1qsGAL/vGr2AYFrzQrvOV8hZ/4S0Psj9p+Af/5j28+8O7r+DKT/FZjkvb29uXSAIctre3P59UXP9HCgORfCStmCej/niYpHIiEk8IlpR9b1CaYC3qex1YNlikFGxdGLN7WLF3XLPfQic0en2DwapAScjNvXQ1XUi60NLVASMzdKbIshQNHiOYvuTWh0jobHqRJ16WtEkc52NylSN7mdOBuEPIFoxixoVyDSqxLKVtfEuGQHpPKwQT2VF1NZkyFKPVFHJhQ5JO9ZvUMkun+/OD2bIbSOu0mfXp0BwnFJ2ziAx0lqO1IjQNxd1jhlNHNj/GI+muPkKWK8x0ga0WVK7mxuwmyBSsIEWBKDK01DgUWa7ZGkUMyROzXhZcGp5nmG8wrx1P7+0xqxtmc4vzkUAgF/1G22jUeAVrPbFeoIUjBIlfDIjuXueQMqlLKsbASjliNV/l4ug8WqZJTIwBZz21DymxPKbr3s6msKhxQSBMxqA0jM5LVs+NGK6ng0ZtZApcEIJCC6SOVPMaHxXD8RghBFuDDbbMebzVuBDZm88IMVAoifSBLnQEoZg3LcqkSHCNRmjDUNybZEkhiJ8wwTrxP0FRaJwMEBXSRaL3+ABymO55V6eiaxFFn7InKLTE+xT1LqTE+4DUgpEZUcj0fWfd/BOeQycSQSnFsiw7vZ7upbnqiX5XJzmnFAQiphTkhSE6x5reZCXfomndkijtVnfT9ZSKIPr+rwCBwMpaoFxVva9JpgnWST9Z7z8LbcPxvCYGyLVEFxBI1zLGNMGSMvkayzwl8gkpENlJGXBME6wAwXtssGQrGtW/f5Dl0MuGq9axtlIwLAyDUU6IYZnwB9DNPW0TKDJBuZUBIsl/qwqloB4YjEzrFtoQAigUSgusnTNxRzQmhWloki80WHDeo2VKOZx1MybdhKg1mcrSJLxIMeub4xXyQuOiIDYdiETYaldjdYaMEektIzMkUzlaKUo5ZDJLByKrwyyt1wuEiGRKcW6YcXWYkWmFLz5DCdbOzs7/8Un/vw28/r5WdIpTfJq4df2YD77nJmsbJe8/rvDHR3zj7FfZ/k/X6ErDpb/+N9n6qq/+rA2x+HTwJy9+Dn/6gS/ibr3P//nBH17+AQEoNlb50//1mxAx8J9eyHnz/of4lq9+HVoJ/tV/+BDvfP+tV3Dlp/gsxveTlBVfv729vQD+NfA9r+iKXgZ0HQz1mKi6lCB38TxAkjudFKgKhenLNj2R+cKhdSpNPUkJUyan67uF/Oo64bEn0Ovr5CPJuc0kqXHBc7e7ybXmY0yP93ALj5YaaSRlee/3aV5o0Cal/TV1mqachAUI2XtYevJ3EoOtBRvrQx5cv8A4GxJ9XK6t9S2yaZFSssBTZZCpnIuj86i8IGqDsD6FG/SfMygNQsBi2kC/aRepOQgfBLNuwbX5HSpfIxSYcpj8UIs5bj4nCIExkvbMBWqVs/KqSxSZo7BHLLoFnbdkSmJEhiZH5BlGGIJU6Nwso7R9XmJ05OLFMSbX5KJA54FAoO18f80jmUj+lqANLc09QQAAIABJREFUajzG9n1iRd/Ro7IBei2l5kmhMIWg6YuDB3nBo+uv4tzgDErIflIZ2bsz5/ZtBxjcaBUlDWE2JdYtrcwock1mDEImH9hJF5GUko6AdZFcgSoEXdcQlWJQ3vM8AeS6oOk8+1UqmR3nBnHSuYSk9h1RnsgkJSNxhdwlP5n3nrvHknrGkmD5PlExxkhZGryKEAzBuqV0lSJNzdpF068XXOchBkqTpntCKYzRZAyRSjA0A3KRCOTc/m6CpUzaYMcuTbCkFERnccHRyJNACkfj2jTdwjNY11x9cI22bshkTmYGVK2jix2d7zhqj8lkzlqxgpQpka8LAh8imfHkK5rgAgoFSi7/rk5qmNWOOzePuPHMMaEKGKkJwjHvaiAdZESRAi9CTMXXMQqEkiidbj5xEl0fIsE7bOyWPjGAMstSETMdeaG4fC5NBhERVZ4cpgikEigEEthaU5iBJBpFsJZYL/DRYwcDMpn8T6KfYCHS4Yx2qcPO5Slm3UhFnhm8i1hvkUSCjxw0R7SuA6PJVZamj2O4euk8w3GOVBKEJATJWr5KubJBvbFBl5epl852ZCrjwdEjXB0+wlCtsOirD1aGGbQtAomUMYXzeM9a/zx1vXfr5cB9Eazt7e0ffNHL27a3t38BuPgSre0Up/jPhu0cb//ZjyIErD26xeEHf4e/evNnGd25wTOXM7pv/XqGjz/xSi/zDyX+y1d9OW8881qePn6OH/3oT3xCPPv5Ry7w5OddxuqS33jfjCvPvY9v/2/exKDQ/NDPf5R3vO/mK7jyU3w2Ymdn5wPAa4DPAZ4Etnd2dt7/yq7qpUfVOoZqTKZlOpkfDkArhEwbMAAlJJnJkQIW0XFcz5dysBMZ3knudKYVsRxSNy55PVTyYEXnuDa9niRP1iL3dpGLNknkMk0xUMs1FZkmao31jsXsMBGtXiIoSARLiPSSo1kr1ri6cpk//tjjPPLQBfLcEPcn1B/bSYERroWqS+mFWmKzjKEeIYVCGEMwOTgAj3QdAGY0psgEbdNhu17qFCOINAWpXYtHMfUzhIRsMMBHgT08xFmPGo7QjzxGWN3A+sBoY5Px0CLsYrkRvrJyAS0MA7nC5c0HyWSOUDoF2PVJBIdmzPXdOXWd1vXExctcPjsk0xLvwblIXiiET11jITPolVVsiIjpEbGbEfMMLXN0CetXNFvnR+RjReMSwSize5liUqQurEjq2PKZJuoSv7aJLAdQt3TWE7OSMtdk2qCVxEdHZ0/S7zxT56kbTyFB64h1FrRmUKTv5XxAS4lWBhkVVWcRwFpRIHsZZ55leJEKbGOEW3fn1K1k7zgQQ6BeWJwT2PbedDTFdUeUlKgsQC4QGHxPsIRWBKEQSi0JlpICVzWY3RuMQ5UmlkJQZJo1cZ7XnX0NSkoIgoEpOW7mPHtrQtvfF8EHVGaoXM2sSumEEUewliamDb9RGuE9tWtQKsn89I1dFh94Kq1DSFbHA0KA3emC3WqfECMrap2hKdFSEIVl5gU39+fMj+bUTeB4UhODIirFUTvhA7c/wt2jludvtzz97D6LtkOEyHoxRuWK/eaA2nfpzEDKFNkuFQGBUiJN7fqxcPQnHizobJOSFV9UOzPKy5TWp2seuLrK+jhfPv7ZID1fTS7RhSDPNOMS1sYFUguiVsnTWFfY0qQDBpUjAFkOiAjUaMhqPkT55B2jyBIZlIIizwguJWgqEQl4nPcUWcljZ7cZmAGXh1fZzM5ybnNzKV0VUuJ8JFMZa+vn6YYjnNLpoKYvHu9sSiuUSuCdR8nkLYtNi0Tii4xcG6LtULWFIsPyIjnkS4z7lQheIfmvfg14O/B9wF+430Wd4hT/f/Gbv/oss0nDw689z61f/Fn+0q1fJg+W3/icNd75JVd444NPvtJL/EMLKSRf9/hf5oGVK7z7znv490//zCeQrDf8qUe5cmXE0eAiv/2LH2Dtmaf49q99E+OB4Yd/YedULniKP3Ds7Oy4nZ2dD+3s7PzOzs6O297e/oev9JpealSNo1QDMqOY2wU+BNz2g8gzG8R+M5w8WAXjbEQTFfv1HtkgEbJZ13sl+9LNQWGIxYC6dSniWaX+pc42HDXpRP5sHKFVXKbmKSMpi94PAhS5Bq05bI+4effZlJjXj3ROPFjpEyUiwiNrD3F2cAalUm9WkWdwtKA9OMTu79H4FtFYCm0ImWbSOPRgDQBhDN7kSQIXLcG2CECNRgwywLkUWW8kkoiUyY9Vd32RcmJmDIuCoPM+pjvJtPL83lRuMB4iZSoI9jFt2vJ+KofQnD1zhZDnyMGAfH0tbfovPQgy+YCm80QGzo42ErHMFaqfMA6HimhtUlVIhdCaymhm1R1scGSDMaNB6qeSSrC1NUZqqHuCNcjveYil6Ml1TJMgLwX28gPE4Rg9Stes1oawssmgMBitUUpwu3uep6cfT+XAXYvXafogg8OoFHihs4Is1zgfCDElzkkp0RRYF1FKUKqMlUwzyA15kRFlpHWeWWV5/tZ06f9r5g3VwiKQhBNfEom4BR9REoRxkMk+ft0TvUcojXcemed0PWmVUhCPj1ECBrnow04ERWH64uU0nfIusFqMuX0w5/rhITf20yQrhIjKDHfmu7xw+Dx3mps8X3+cg+M7VCqAkqzkK+CTJC1JBANyXhM6SzubozLD5bNjjNTsTqbcnO4io2KkVhmYPg5cWiwSpxXtZMGiiogYabvYl3pbprMFFR1VF7C1pXMWIxWFybkwPgtCsLCLZOHqp8FCiuRNk+lApO6ni9Hekwh6ZxFKMMpGy3slU5qHz51lfWzY3GDZ32WDIxsJhpuKYk1Srkk2Ngc8/uCY1VGJ1BD7igchoFst0UqQqzxJFIsBxfarkYMhZwbrbGTrGDkgGkOMAikiRZ7i6KumSRMsPAFBsb7FSpYmaSO1wqrewJz4N1/0swLoPCdGsEKDDIQ6eeSWk1glCT6Sm0REpbVpgj4q0FLhZzMUglgWdP4zNEUQ+Ps7Ozu//qnesb29fXlnZ+fGfX79U5zi/xMvPHfIh993i/WNEt7xY3zB4bOE0Sp3vubzeU/7W/z5K29By1NZ4P0gU4b/8XXfwD9977/k7S+8k1xl/LlXfTmQfjl/yVe+jh/7gXfzbHwj6//Xf+TV31DwbX/pDfyjH30vP/AzH2ZUGp546LSD/BQvH7a3twO97+qTIPq3f8cf7IpeXnTOMx4NQBjm3ZyhLkFr9MY6zbwG0qQIY9ganuX6osbGSKcaXji6kQ5JhEBETTQZ+foqeWaoWpeS56QkEDleHBIVrKh1NmMkH45pmp7AZQYhBWWuaDrPoNBMF55OgAkR6x0YDbjkweo7ioRU98z+L0KZp2la6zztCy9g5RFmUjEoh5QrBW0tuaM3uPDgCGkyrCgBgYodoevQQqKGQwaFoPIRs1bQ5Ip6HhEildDWbSCOFbE/7R8UBSHLCTFNB0RPsKqu93QVGZXO8K4jAlpqdE8UY4AsN7D9BPr6MfnmiLVHzvPqNnB8a5f9WzCvOugDL1a7VfaKlqaKCOEo8xSoII0hCJi1c54TxxBqzq5kDAYXYa2kEunv10APkKqP+wYGfVQ5JN+UkCkR0PekRbj0eWceei1nLj9AdbeFg0huFJkWKC8IeCpbM+mmTOcOuS4ZVw5pPUpahIiYLF8SLIBMS4pcI32GB5RSFMKwUSpCnlEZhYgeH0LyvRHoAhhgerhgsbAImQhWfJEHK4aI1JKoO0QmMTon2i5NILXGuYDOc7puTnQ++W+qBabMWHniCe4+fyc9Zn1wQesCUkq8C6xkY6rWkZsKLbdS+EiIiFxCH2wx8xPGzrOwC9xoBWVyRjqw72bUrqGUKdFQ2NRF5kJgUBacOTficjXmRn3ItGoZyDWEEIzzEmpAWXDgMkOczQitgxBoO4H0AYXAtRHvWoKQ4CwhSoZKES0MiwHStsznLdZlRCnJ8kR0PJLCKJxUlEODh56opgkWISKM5ky5xbz3oEmpuLB6hufv3mBvsUc+WqHUJS46hBAUq73EWAm2NkawFxBGI0RE5AZqjxDQjApUvSCjwFL1XsxU3qyCpjCGOmiQqXhbxIA2kqEZ0NQ1rZtRRkf90GVGV1+9vJdPiNJJ2bNSEqS6R7AyzahaoY1zst4/CSwnsVILXAfZCUFra5TQsJ5TOIs7Pk7kvSyWcuSXA/c7wfqW7e3tL9je3v5Tn/xCisU9xSleVrSNW6YGXvnYz/PA4bMcn7nKA9/zXfxc/AiFyvn8S5/7Si/zjwTG2YhvfuNb2So3+flrv8JPP/Pzy9PHcpDxZX/xtSAlv3P+C7n+Az/I5t41vvmrXocQ8M9/8oNc3z1NFzzFy4p/trOzoz7Fi+SPYPjSA+dXeM2DG4yyEZ3vqH3aZGT6pAOrP2mWksEfex1x9RxRwO36DjFGNstNXr3+KD5I7AOPUT66TZlrOueJQYBO8ezH1WFKlVNjRFOzUY6XB1Y606AiZ9cHXDozIutPtxedY15buuiQa6N+PXJZDouSxBcRLHt4wPx97yXrJ+OLruWFw2uwu48xJdnFi2ysFmwOxtRRcaRH7B5WtDJDSpC+I3YdUgjUcIiSgkubinOXVlFaIkJEaIhSUXckH5gCgWBY5si8wHuWE6wiuyd7LDOFzouUOhgCWiiElP00I23+vDuJTpcIrVkZZqyu9NOlkCR1RktetfoAF9fOcHawyaDQiH6KJjODVIJbi7vURcmqXufhjQtceewiUksyZZBSUepEbKUSDMyQ7EUJaEkimCR3J11Z0qfHcN4Ebs9yZMjT9xWQ9V5kLSU+RPbrQ44WdQrbEDLF7juP1oEsG2AytQyi0EpS5hqtDdIpkBodUyEwyLTBVuBiwPs0QTopdz4+SEWwQkpiiFh/UjgbEhmQ4GRHWWryLCc6T25Sqa73AZnlKVHOOeRiAjFQbG1w5twDmK00MRoMeqLeJc+hcwHfpWvV+Kp/WHppIh60QrvIUI0ZOknnOmyuGA7XUFKjfGRm51ybX0N1HTFKWtt70cqcojScOZOmL84HcjFECsEwKxBCIoxP99r6CIHAWIcREIXmxn7F87szDg5a5l1N1Dp5zkwk70t5ldYMzYDZ3DDvUtfX/8vee0fJcZ132s+9lTv3zPQkzCADBZIAmCNEixQpiSKVqbxylr2fdi2n9X7f7jqtveuzPpItry3bK3mtXQdZyUoURTEHBZISk0QSJFEMIEHkGQwmdqr4/VHVPT2DQRwAQ4D1nDNnerq7um5XV/Xc333f9/caiTmDH0kMXWWwkmOgN4mYJZ9T5MfHNGtlyWqz0U5VKGS0DLqqM92c4tkxh9H6WLwgwmxEq307ChFSQUoFYcbXhprLUhMelmqiSAUhRVu0KpraPk+EojGYXU6XVUYSoWkKFasHLTLx/QaNqIZPHAVrfx+0BVZSr6nOTXGUqkZOFCloXRSyBaKkl1XTC1GkxNTj/WtSsOfVcZpTTYRmcN7QJgp6nigI0IVGV2WIklHiVLFYgbUC+A7wp8nPrcnvPwIuWeRrp6QclYfue5GZqSYrxp+iMvEKzwxewOY//D0enH6GaXeGa4bfQDYJ06csnpJR5Ncv+FUqVjd37bifv9/6BZpBnK4xuLzExVtW0lCzPNN7Nbv/9q9Z4Y7yq+84j6Yb8JmvP81UzV3id5BytuI4zm+1btu2rdq2vdG27XNt21Ydx/mdpRzbqaCY1SnmDHJabBww2YzNBrRkUiaj2X/vqmWiYoCg7dDXn62Q07Pxqq+qYpoaGTPetulFRIpCM2jSdOvktDyKUBCNOkbORO/vR6tUkIoAGaGpElNX0BNh4jYazDQ8GqU8wkpEAbKdIiikjO38iJvzNnftJHRdlNoMCGhms9SX91I85zwGNl1OPtdNd67McFc3EsHL+6Z4ed8UUtGxDBUlqMepdgiEbiBUldBzZ1OM4kwsgkKRmXwJRBxV0aSGrisIwyAIIdJ1hJRzUgRNQ0U1OyanSd2TIkFEsbObn0wIFWX2mGdMjdjyLMTQW66OChWrxHB3nrylQWL9rlk6fuQxVhsHJUO+MozeXcHMxPsasAZZXVwRO6wJga5p9FrdqOrs/qSQyKRuLogCpCJQhcSr++zcP81EtYmhKZSyrUbNWjLmOIo50ZxkrDoDikRKlcj1EJ5HLuuxYnUPiiLbE19VlZiGglU0sWQW38+iRpI+rZuyXkEoCqou8aOIMIhrnbwIsqZAEhGFIVpyTGZqLtt2jDPT8JDErnJ+5HHOyj66yvG5rasCoev4XogwdPwAdDzEzDQoKtnebkzVwMhLCgMq2UIiptwARZWEYcje0Tqa0GlGdbwgIExEiI/PgXpAcwJ61QGKQdI02jIpGHmEqpKNNMIwoBpMo7oumowjvQCZbBxFzBqJ9XkokYGBpsYNtQ1FJ5eVXLiuh0JvHkVIsr4gbygYuslQvp+SnserqUz7TTBULENSzPrkEgEtNYmlJw2nlSZmwcDMJAIrjK+pbM5AaAKhdAisJKJTyBTRlVkzBynjqF2v1U3F6kEIwUhtFD+K39Oc5yKJgjCp+5LIrI7WU0H0dhOGAblkXIoUcc1lh8DS1LhOLKPnUKWKQvy5CyEoqPm4t1vkcbDqMTnVseAyL4IlZVyDFR+LWMwRgo6JputtExTPD+LoavI9pkYhM2NT6KogX8lRLM+mSSqFAiv711M08pwqFiuwfgCsdBznKsdxriIWXD90HOda4L8tenQpKUfgpWf3se2pfeQbYwwe3Mptw9dy1W/+KkKDu3c8gKmYXDd89VIP86yj2yrzO5f8GutKq3lydCt/9thfs2NqJwAXX7WC5Wu6GLMGeaG4md1/9RdsNGu8+w2rGJtq8Lff3NpOM0lJORXYtn018ArwMPBj4GXbtrcs6aBOIa0JTks4aUlkQkSdk+84y0pX44mToRpYaiwaOleLrURYuM14QuUFHiIIMKQFngthgJHPoubzqMUiqqbQ9lsHNC3eZ7W3Gy+bpdpVip3JhECgxC6CAFJpR7CCyUnCeuIK16hCBIFUqAysYtXyTSiaiSIlg4U+dFVloDtDztKwpGSgnEdqKtKtxxEsTUNIidC0eFV78iBy8iAyBFWXhIZBQ4+jQUIHTcTpgELX8TMFZKknPj7JcZBCoKsS1egUWMmE2lSwTA3fC+ZEsNrHXFHQ1bhJaysi5k9M4L7g0Hh5O8r4NHhxcb6esRj3D+D6IXmljL56Lda6de3tCkaeklFElSqbes7l4rXn0L+sNCfS0NpnSCywrIKCJlVmDtYZ3zdN2AzYuKKMqcVCtxWFVKQgp8Q91cab4wgBQtOJGj7C9VEklMvxKn/ru1tTYiMJ3dIoZkuU9V527w8Y3RtSrWlIRUU3JJFopf6BF0LehOXDGYa7BbmsSgTs3BeLP4AwDGkGLlKBgpFDT1zxzKyBUihSr7nsPZCkdI2PkrcUcn0VSqX481lbXo2eUenNlgFoegFCwlTVZXyySVemQBiF1PwaDc+l6tbwI48aEj8Q4LlYnogvGNMgp+eQhk6vWuSivvO5sLKJoaifnFJgphFHpfLFeAHX0gykEBhkYzOGJJqrSY0w9FFVQWTqlPIGa4sFBjI9DPaUuHr9Bq5Ydg6a1PFFiNvtYeWnGM5Db7dJb0miqAqWZiKkQMvWyZQstOT1WwJL0VT8KEBKSdgKFyZCq5gpxRFkJRZlqlAAETtyZvoomyUaflxrCcyJJokkqiykRBES1Ai1VMRT4vtzeiY59wRRYlQiE4GVNRRyeYt8Nv58BGF73JZqool4ocKPBHtG623Dk0NTBEXbBVHRkvo6YjGnGipRGBK4Hl4QJgJLA9/Fd56juXcvpbzGynUDlHKz70vvH+BUs1iBVXYcZ7z1h+M4E0Aluf25w26VkrJIDu7Yx33f3ooMPYYmnuSfh97GNR++kb6uDN/f9RAzXpU3Db+hXWSacnLJaVl+7YKP8cahq9hT3cenHvtrvv7CrdSDOte/41xK3RleLZ7HbnWQXZ/+JNcvi7jErvD8zgm+eM8LSz38lLObPwHe6ThO3nGcPPAe4H8s8ZhOGVk1g9JRY9oSUTLqSPNJNJCuxOKgaBTaj7le3JNIU+WswPLikI8XerFRBHH0KjaRyGJaamxyoCgIZTalSNeV2P0vn2VmsA9f+HHdhhSzNu0kEawIojDETRoHQyywsnoGXc0zlIsNiVupXC3xkrc0KoZGJoyQIQhDhcCPncKSPkJS04j8AG/HK6j79yCiKBZYBIRhRLmcpdvoo8foIV8wUVVJLVMhzBYBMA0FgcAyVIQQaB21Tq3bfd0Z+rsyuG6wYAQLKePIVRSiR7ETnrt3T9ybSkqUWqPtftYwfKrBFDLUycp8W1jlLI3+rgy95VmBpys6ubxJseO+FkoyCQ2jkEyXSjZvomdUiMCdavLKi2O4TR8pJRnVIqfnWJFfgS4MGm6AGzYxVAWhmXF6WdNFU2YjeG2BpSrtMWbLFt1lA0VEmGqEldHQtNhOPv644888FEnPq8Q9TtUUag2fWsNFT1LBXDfAD31EYpyQHexDyWUpbToXIQXNhk8zkJg6FK0IK5+hZ1kvejKhL5slLu47n4KZQQrB2FSD53dNsn+8DmHEukovwQwcrE2wfeIV9tdGmHCnCTQViYJwm5iej2JlkKpKRrUQuhEvBvgBmqIiPZd606eRKZCzNFRdb19TJaOIGZaIiDCS96QlosYLfUJdxbIM8pGLICJKPq8ojMjpFkKDWiZA1VxktUFfV5aMIcjlTbr7CvR3RQQyJIzC9mJGp8AKQh9Fm01ZHbb66bJKaElto6HoIEQSEUrqCKOIihUvLLRqtMwOgdVeP0kiWEnmMc0oFsV5I4msSTkngtVy/+sq5eKIGSCjECURTUIIevIKfb0ZegtFwiiiWo/Fs5e0jWhHsJTZCJaia0gZ9wELwgjNSOrtGvF4dE1hsCdLtw4gifwAXZH0DfXGr1mpoGSzqOXyIdfPyWaxlf8Dtm3/FrGLYARcC5x6WZjyumb6uW1892vb8LUSg+4LfKl3C2++ai0Xrq8w41W5e8cDWKrJtWn06pSiSpUPrH83F1Q28cVtX+O+nT/gwT0/5uplV7LlHZdw95eeZ1v/1Zi77oBPf4qPfuI/sH88xwM/2c1wJcu1Fw0t9VtIOTt5znGcJ1p/OI7zmG3bW5dyQKcSIQRFI8/BerzW2arBEtFsHVErWpTV8+R1vz2hAnD9sD3B1ZMJTRBEoMm4SD4IYgfARj2uccpk6evJE4YRr9QmIYqQCgR+XHOxcVUXYqLAK/um8CIXL/CRotVouBXBSvYzPY0/OYmSzRJUqwgi8nqWTHYgtoqHjmbB8RinJ5NaM0NFlwpGxSSsTRNFETKZSIpk0ksYohAgEvMEoUZEXkS5J4M4kEFRBYoqqfTn2bd7kupMs72vtcuK7UmsZnVEsAwLmvW4VxZxi5AgmRAqHSl7QkoMTUGEIer2bUzviadbRjGPIiJkfQxmJpnwQmY0iQwl3coA0yJsRz+EEKzsnxXDR0NVZBwFUCMUVTC8oowr6/hNn4KuUkgiPZmsjiIVNnStY5c/w/T0ONNJc11dV0CVEDTRGh6ZbLE9uW2nCCoCVZlN36p0G4S6CyK2uQ8HTF492EDIpMZMQJS4KkbNZnJ8FGbqHiXLZNPqLnaOVJnxIxrBFFKNIz/F1UUK/d1YeROIU2B7h7sprCmBImke9JiZas6JHLaOWysaomkK0lRZ0Z+nNlGFGYVRbQw9ibzMeDUCTYvrzmYmEcBw3xrU0oo4UpKkhEaui25lUN0mTakS5grkGg1kcm5oUmV5djmTSRp8SxxoiZOhF3iEUYDMZgldN24KnTQE972AcjZDQxYo5ExWG13QbGIKgyZxWlxPV55pXQdF4kYNNC2PD7hB3FNKKAI39NBUlTAICcMIGST1e0k66FBuEDdw42srub6IQvJ6jm6rixmvii51Mh31WiTXn1AUpAhBic+BZuCiAHkjw36mksbHicmFEIkpRoBQlXb9nSB+rG8wPqetKZ0DDYVyJktjEqZqHlkzTr/UFCW2oieJYCW3paYilTg1FxFHN6mDW58VWNmMTk4NcasRQlXRC1b7GFirT1/P+cVGsH4RuAq4G7gHuAL4pcUOKiVlIaIo4uCdt3P/P32Paa1EQZ3hFmM169f08Z6fWQXAd7bfRdWvccPK6+Z+SaScMtaX1/BfLvttbl77dkzF4J5Xv8cnn/00zc27iICnl9/AZGgx8pk/5/+5KEM+o/HFe15g247xo752SsoJ8JJt22+0bVtLfn4GeA7Atu0/W+KxnRKK+uwkvGVeMGue3nIVEyhSw+5ai5VYs4dRhOsH6C0hoUoEAi8gntAoEhGEKGiI+kx8Vy6HpisYptqeAElldqXZMASqFBSzOmEUEgofRcrENjuJYCXNhpu74tRiY2gYmdSbaCp4ocBP6kdaESwlqWmBWCAMrSwzvLILc3mRMArmvGehzZo/KFIiEUhFwSgLRDFuNhqEIWriapgvmvT05TEtjUxWR1Ul3UWTQmKWoCWr9AjQ9VYNUzwWtxlHsBRFzk3Zk5JiVqc/r5EzZsWu0d+HNK04aqiEGN0+3V15BvTlBH7yOSgnNjWTUsEsCzLleHsjOQ6qoTI0XKJvsEDfYIF8sSMip0pUoZH4BGBqClK3iMKI4fwyKoXZNXMvaAmsODonEBiagkzOOSKQuo4qVTRFIhMBYeqxK6Xnh0xPVnlp9yS7xxtEEZRzBpqqsGogj6VKpB5PwnUljoS1xlrpz9PTl6PcnUHJ51EyWfSWmUGHKUmLSik+xuuWlxjsyaJHMD3ZpKAVCdy4YS+AH4agG3F90fQEUgqypUo79bYl2sNmE3yPoS6DTLFArq9C5bKLUUuzkRC9Yxyt80NPosvNwCWKIpRs/LpC0BY5vh+Ss3T6rAGWF5dhFMsOx9OVAAAgAElEQVSICIKpyfi5yfVi9Q7iFfM0w0ZbhE/5VcYbE9RoQhSh6zpEEYEf4jV9FAVEUpfZElKzA4DWgVhVXMHG0nrWGgNzXJdl60AJGS+SJKWFgeJhqAZm6xxTZLt9i5QCocYNv4Wqkqw/oCTXaaFkUShZ5KSJrlssK3UDMF11OTBZxwtCKqUOh8x5ESzPDVAUgWaqiOR7o5GkGRuaRNUkYaOJFwmM5SvIrjt9oqqTRUWwHMfZA7z/JI0lJeWwBPU6+//v37PtxRl2916JYcB9zQxDvVk+/q6NKFKyfXIHP9z9I/oyvVwzdNaWXLwm0RWNNy3/Ga5ediWP7H+CB/c8wjNTP6G4eh9DL13A4ytv5LKXbyX63F/y72/+eT71BPztt7byez93Mb3lNI0z5aTS6nnVSm4RALZt/2Vy31lneNHqHwNgagYZzSKvzt7n+yGKFId42LciEq0IlkhSBX0vAou4QCIIkaFA1msoXd1xz6YEkUwQzawWT1CloJnMprqLFrqqkMsI6m5i8tASDsl2wcwMSjaDWiohDBNcj5wpqCoK42M1Kv359qRNUQQr1nSBmI1mxQ9I/IEe2LkbJZ84Fs4RWAIQCFVg5AREsH33DHpUmHU1BMrdGcrdC38X6WamvS9NNfABLRFNbtMn8MO4Hq0DkYjKkiEIm7FlvtbXB11l5Ggz7tkElHvKVMrrcGbGqSfNojTtxASWIiRmUaAa8WdtqrPHIWtpC27TirREvgq4GJqKMHP40wcRQqLmZo0B/I7aGCkEqwbysVPcyOximdB1VKmgqjIR1pA1VRpNBS8IqU1XiZL0OEOTWMlxazaSxtdafFx0OXe8pa5DP5til4VUJJmsfshjqwcKrOzP06h6TI3VmByP0zEtLUPkB/RbFXYoI9SjJlK3gBlEGMaLCPnZa0d0RLCCahVdU1k91I+x7NC2I3rHeWloc1MEm0ESucvnYaaGFHHaJIDvxVHLC9Z0xUJlwoP9EMzEzrsiEaqldRvwgxkCv4GmxYKmnphMTYdxep+h64T1CNf1CX0/XkRQF5jqtwRWOPut0Ny1E3dkP8KeFSSiFX1SZByJVgXDa4pMjO3GUHQMLV6U0cwOUaYIhKYhE4EV+CFIgYhmm/pGUYSMBCvLK8lku9itH2Cm7tFMUpb7Oz5vKUU7Kq1kMvhR0kTdkgRSRQLNWhMx7WEMFWMjFc9FGkndmnaoAD8dLEpg2bbdC3wKMImjWX8B/KfOuqyUlMXS3L2LPX/7GfZNKzw/+GZUTfJo06eQ0/nN959PxlRxA5d/fvYrAHxkw81p36slQlM0tgxezpbBy9k9s5eH9zzKc9EL9Gxfz4Or3sIVO+4k95XP88vXvJ2/21nmL7/2FL/7s5e03ctSUk4Cnz6ca6Bt22edXTvE111WyyKEQFUU+rN95LXZSWLgh3FT1nmmCK2+MXrHhF7XJLWGjyJEbL3nesiGC1GIzM913GpFsLoqVtt5LEgmUapUKCYTX1XGdUCtFMFWEbwQAnPl6vg+wyCYniafkTQNncnxejyBrMWhFSnFISImHoPE6ykRGhJtsD9+3XkCSwpBKCXdJZVaqON5Al05vOiYj5EILKGoKIqKDyiqgqJImg0/LrZX54miVn1NEhrSBwYxhofx/QCp6xSsAjlDsKx/PW4SSYsSCazPf61jpJVW6YUemojTRaUQKFK0J/zzaRsJEB8LU9MQpTJuMU9uVddsuiWxYYVgNj2wtThWPzD72nEEK36OIHaMMw0VoSoEtRA/iTSsGepiavwgfiLIm40khKYFSKmgyKNPilVVOawoFkKgCDEnbTObNzAmG0TVHHlZwFSnmA7rqKpFJOuIMEDRdaTZET1J3n/oNhGJjbmSPYwQ77iO5qcINhKBJbNZoBav+si4ZjHwg9iZMYnIBS1HwpYhVBLBMlUTVarUwwaqIvGESygiJFATDSRxs+4aHrUDk0S+jypBqIcey84arBZhvR4vQU1MgkEswvz4cxGqipKkfDaiZtw0W4mjj+esKONWXcYPVOP3KAVaXz96oFEXatuWX3S0Zmg5/7UWbPIZjdGJOr4b0lvKtCN0rc9Sy+eRuoGay1LI6lS9AFRBKJVYYI3sRzs4iTKYIxB5FAEi+RwX+t44HSw2RfBTwPcB13GcGvBZ4JOLHlVKSsLUjx7i1T/5Y8bHm2xddj1CSp4LQ9AUfvN959NVMImiiC8732SkfoBrh9/A2tKqpR52CrAsN8D71r+T//S+X2LoYhMZZPnRihsZy5bpuv9W3m0+wt6xaT737WfaaUApKYtlIXFl2/blyWO/degWZwfndK9nQ9e6dhpe5zXl+2FcByOiOffPd+uCeBU+jCKiSBApEhlBVI1Xx9Xi3HogwaypQntfYTxxKuqF9ip5axW/JbC0/gGstWvJXXIpShIhaRtU6DpdlSxRFDE5XsdN7LBbE8L5KEIShD5RNoOSpEK1BJaQMomaCaQqcSOXvpLFxWv7uHh9L8O9uQVf85B9aDqKrscGF62Jv1TQDTXu38ShkzjRNjCYO0lupRJmCyV6rG60XL4tWFroC0yIj4WWwGoGbntiv6wny9AR3uesEIiPv6nqaKrAR0Eaxpy0Ry8IDxkrxNGN9m3daDdjVkRspqCpEk1T8RBtQZXPmUg5a3HfjmCpwSHRq8XQKbBKXRkMUyVMhLulmPhRgCZ0ZCJqlPy8czw5L6NmHMGClkg6lM7PrdNFEKCZWPKrmo60rLhOSYmNIfx5EVBhzI3ItVIEATKahRe5HGiOInuaZFfnydsFZD4ef8aMx3vwuRfwJydRO1IE577obA1Wi9CNo2HhRFzvJoUkmImvfSWba59fdT9Jx0vMMApZnVy+w3lQCLRyGXPZsngXUQRSQXZEsAhaeYPxexvsztJXzrB6sMjKgUOt0xUlruuSUlDqyjAwHLto+q1FhekZBALFbxLOzKDI2e8U5QQXLBbLYpeNdzuO83nbti8BcBznJ7ZtT5yEcaW8zgk9j9GvfonJ+++jmevm6RXvxG9G7JAR01HEJ969iRX98UX4/d0P8+N9j7M8P8Q717xtiUeeMh9NqrzjzVfwdHkXP7znRZ4eejvr993Fhq3beMfqPdy+/w189f4MH7pu3VIPNeUswLbtIvA+YsOl1n/WG4lrhM96WkIk8EN8L0DVlPh3UsPU9IK2W2AziWB1Rjdaq/C+B64fUUQSJrUg6mEiWFFH8mGQTNiKRp6h/CDT7gyhpTJTpe08JzUN2d0z97WSCa7QdUpdGbI5nempJmMj8QRPHkZgtSZ9nbeVbC52CiuWUCZeivtjqUq73sTUjDmi8lhYvvkqFEVFNFqCT6LpCvW4b+2Crn5xM934eLRW6oUQDA4XEQMZ1LCJNC1Uf3biqUp52Pd6NJTk/Ydh0M7iWFY5sohsCyyhowiBrmoEiqTW9AmjqP0ZQyzU9QXSF4WcF8ESSY8oQ09SBQWapuIjUQI/joLpGooqCfz4M2nU/Th1UA3aouRk0BlZzGT1RGDFgi6rZcjRRZfZhZ5t0qxXUQtzz3GR2IKHbjNuBaBrSO3QlESI638gbmDdikLqyeJCzY9TFFWpouTyCFEFqbRrDef0NNP0OecOHamsa7oHqQd1DjRHEECuJ4ciijT8BghB1spwgBmaSUBQTYTJIcyrwYI4DRKAeh1cDWmqbYEls1lkI75dS9oLmOqsqDLmpQjG981+jkJKROTN7mteBMsyVFYNHN7QRSoSvKB9bbTOW5/43PP8EE2VRJ5HEEUoiiBMBNYh0eXTxGIFVnfyOwKwbTsLHLGazLbtNcB/B54AhoAxx3H+2Lbt/wpc0/HUP3Ec5+5Fji/lDMQbG2PvZ/+GxsvbCZet5sne66hNe+xTBKNhwMfftZHNa+JT76cjT/Ovz99CXsvxsY0fRUtTA1+zbLpkCMPSuP+2bTzf9zb87KOct30r5crd3JLbTfGRd/G2y1Yv9TBTzny+C7wMvMi8OqzXA0oyuZk4WGN6ssGq9T0EQYihKQRSzBFYrrdwBAtgZLwBMy54IZo/RaRqqIY5Z1+t6EbYMUkLkgiWIpS4RsPqAgt6i0cetzBnI1gAmq7S1aPSqHl4XnBIz6cWUsxO7hUpIYgnbdmNmwibTUq7dhLJDOMGtNbqT+T/RLE7Tj90R0eSHUsKJRPfC+jpy8+ZYM4OLu6DBXPTtDI5gzgHKxY/nfbuxyv85uyuQ2yqx5BiB/ExU6REj4w4TU0xaLYmr/6so+FU1cUPQ/LaAuJnTgRLb08sl1cKaGqewAswdEkoJK4XR8GEoqBqkqARtCOVUkuiH8rJE1hCCIZXddHfX2Biso6efE5hFJHL6xSrPeRMA7VYpDl2EKVUOmR7oeuE9RpREB7R3ltrWbOrs4YncXsCtX1d5LQcen8R7UCd0LJwm4c6UEIcOYvqsZDpjGAt76owWCoz0ZwkiELyWo79tREafgND0VEjP3YoTC7Jw0ewksWRJKIdel4s6ETc4kEenEQsi909pWEgNQ2lGY+j6sWRPKOjIXHn9dm6bZgquqHiNv05rRmElERJBKvzvR2J1vda67Vb32FVD6wwJIwidFUSuU0IAlQJnqodaj5zGlnsbPTexP7WsG37NuAS4BNH2aYL+LLjOLcA2Lb9bLItjuNcs8jxpJzhVLc+zd6//xzhzAzG5VfzcLSR6YN1DqiCXX7Ax95+LpdsiPsZ/Hjv43xh27+iKRofP/8XZ91xUl6zrD+vD9PSuPuWZ3jRugTvnGWsee4uPjrzNN9RRpH6z/LWC85Z6mGmnNk0HMf5aOcdtm3fvlSDOd3IjtXuIAhpNnx8L8QwVGpAw52NlrRNLhaKYAVx49pmNWAmdIlyhc6F9HhfC6QItiJYx1JD04liZVCymUMmuIPLS23r5wW3myMq5k5phKYhpSSfMRiXXjIu9bjHNuc1k22FlFgZnWUrFo5mtJ7TVvgLTXITpEjqxJJJ4onSKbC0I+xvPpoiCUKNNfl1LMtV2FmLJ9BeEAusMIzYvncKgVgwItaOYIlYYOlJg9usYSBNlaoXoGsqXr4E46PoGRMll8PKq0zVPfbsHkeVCoUunQnvUIOLxWJaGlpS36TrKpqpkMnplHvz7Hp5DFNXKK1ejpsrkysc+v6UfB7vwIH4dubwpkyaKtE7Gna3708ElhCSvJ5FCok1PIw7XsdLrsf5KabSNAnr9VjgzbvwVKnSY3W3/86oFmPEKXtq3kRVDkK5gjc6Gtdgzb9w6Ui5TZRYK3qldffErRMO7EIWi0R+iFqMV0fyeo69gJsYa3Q2JIZY/ERR1I7KQezQOTYyM1uT6PsIXSdK6tmOdF3MOR7ttgCzAkuVcaTVY1bYhq6HkAGqoeJLcYiF/+lksS6CX7Vt+6fAm4lXCH/bcRznKNs8Ou8uCVQBbNv+XaAJKMBnkrqulNcBke9z4FvfYPyO7yJUlfwHf4Hvv5plfLTKmAIv+wE/f4PNlRv7cQOXr73wbR7c8wiWavLvzv8lVhSGl/otpBwjy1d38d6fu5jbv/Y0O8YHaF74EdY/+VU+8IM9/Ojg/+I7fJS3X3DZUg8z5czl27ZtvxF4yHGcVk7K24BHlnBMpw1NV+gdKOC5PuNjNeo1jyAIsUyNWhDQ7BBYTT+Yk84EsxEsicA0NdTp+PmRkTlE5LR7VXWkCPpRPHFSxfGJmDjqtHnhx46wAt0pKnoyXUwlfZYgSUvSNHQ3opjJoWZ65kxMT4jWZHWBSethnwtz3BcXQlUkrh8syvFMzheb4RGe3IGmSRoe5AwLRSrtOqunt49RKVpIKWi4PgNdWXILGYO0Jr+ajhACSzVZV15LRrMYm0qiHYZCo6ePoKePQsFEmhaZgoYfeeyZ2MWGFStRMwImOakRrEOHKsj3ZOnpL3BwOq4lyhgq5bxBOW8suI25ajVREOCPj89xGFyI81Z2HZLiqUmNBg3y+mwdU+ucdt34epnvHNnqv8UCNW/zyWix6LNUE31ggEJdoeYKlEyG/OrDhI7n1WC16q+klcEslVAPvozy6n4wK+06ybyWQ1U0/MBDU/Q55xtAuSfDwdEqZsc5ki/EAiuui6zHETFdJ0rSYhcy4FiIdgSr49hmTZXJmkszmm0zEXkekaDdHFs9wXrGk8FiXQRHgT9wHOdvTnD79wB3Oo6zzbbtfwVecRynatv2vwM+A/zyYsaXcmbgjo6w7+8+S+Pl7Wi9fWQ//DHu+uEY05NVRojYFcKvvP1crjivj2fGtvGNF29jX3U/Q7lBfum8j9CX7V3qt5BynJS7M9z88xdx9y3PsvPlceqbf451L9/Klq0j7Nr/v/nS+Kt86Jqblyy0n3JG0yROEzRt24Z48S8C/mgpB3U6KZYt3GYssCbH43XKjKUxNhPQSCZ0AJ4XzklngtkIlhASw9IxNR9CCE3rkImjbKcIdkSwwqQn1XEKrBOlntS25PQchqoTf/wdY9Q1As9juDiEXlj8/4pWNEAcQxSsM3JwtFQoVRG4/ok7CMLcaJ52PAIrmcS3xHWmIwIzOllP7tMOawrSjup1OA4WjViItNIfDV2h1RBpti2ARM/GP4HhkmSsnvQIVictoxXPD9g3VkNTJD0l84jbCCmx1q0najaQ5pH7axoL9ORqCcZiRzuF1rXUimDNTxGUScrssUR48nqO1aWV5PU8QkrMYo7aaBU9ax5SN9l+T2J+BCtxOTR0tO4eVqzcjH9gNB5bNtfepssoMVIbnZMe2KK7kiOXN+bUXmm6Qt9gAdGtEr0yRTA5gVYux53J4zd+1PcHs+dR53dQxtSYrLlMN5NIfMscJAIts7QGF7D4FMGnHcf5X5132LZdcRxn9Ggb2rZ9LXAt8JsAjuM80/HwfcB/XOTYUs4Aph/5Mfv/+R8I63XyV1yJ8pab+e63HOo1j92ETBoKv/6eDbjWPv7iiW/w0uQrCATXDG3h3WtvSmuuzmAMU+PG92/i4fu389Sju3hy2TtY0/s0Qy88QuWrt/H13Tt570d+Y07KU0rKMfDrwCbHcba37khqfF9X6IaKosj2BK7cnWFvzW0bWwC4fjBnMg2dESyJaWlYuo7bgChpjtuJSErb9lb388rUTiSzvbaOtQZosRiKgRd49GUqCz4udAOqtWOu9TgaLcOABY0D5nMcEazWBPLk1WAdR4pgy5Ah+V3OG5y/pgdNlWx7dZxGM2DdUPHw5hvJ+2xHXeY8lNTjGCrU3Dn7ayTiGBLjhGReri8weT9ZtMazZ6yGH4YM9+bj2r2jIIRAHEVcHY6clmGiOUnJnE1/bQmcw6UItvpvHVOkFOgyZ2vDjOSaPmI0tFWDNS9FsCWSc2vXE/QPEtRrc6J2XVaZkdpou1n5fDrFVYtCySIKDWZ2KviTsWHO8UawWsYZnedg1krqsCKJgsCqdBGNx12izJwFdRaujTxNLHbPX7Ft+23APR2pGL9P/A/usNi2fRNwNfAbwIBt2yuA9zqO0xJV64gLlFPOUsJmk5Ev/wtTP/g+wjDo/6VfYXrZuXznX7fieQE7hIc3dJB1dpXPv3InXlIgurnnPN6++i0syw0cZQ8pZwJSSrZct5ZKX44H7niebdG5VK9YzYpHv8LmB57key/+R674xH/Gmuc4lpJyBJ7oFFcJty3JSJYYM6NRnW6iG2rsoKYr1BPbc89PCsPn135Iga4qaIGKpmtkjICmK2AB57RWo+GqWz3kMeU0RbBWFVdQ9aqUzdKCj8u2ZfvJGY+SyZLZsKG9qn8k5tS+HC2ClUwcT9SiHeZGDdXjqMFqO95psw2nW3VE563sIgijBe3ZW7TE63x7cYBMTqc606SQNyCJprb21+7BJAQ1v96OwJ2OCNZ0IvZ6jxK9Ohn0Zir0WN1zBHDb7bNl83/YCNbxnw968tnpxhHOgZZQaZlctFIEO0Syksu10wNb5LQs67vWYqnHJzaFlCiFAv74OGGj0VGDdWzvz7TiespOAZdNbgeVAfrXrMAwQhqJwNJzFquGus/oCFY7emXbdsRsKsZhBZZt2xcDXwEeA+4HssDfAL5t238JjACbgH+/yLGlvEZpvPIye//+c3j79mEML2fg336c7SPwwJefJIgiXh14iZmhF0GEOFPQn+3jwspGLuzdnAqrs5T1G/sp92S585vPsPMA1K/4FcrPf5nlu8Z48ff+Pyrv/zB9116XpgymHAs127bvBX7EbL7Y68amvZNMVqc63aTUFU+GDE2h2vBwvQAvaBlcHDoBWTtUpFBrMjk5Q840OegtPEnpnDDqio4X+kRRiJTKabtWDUVfMF2phczmQIy0J6wnA7W4sJg7dOdJOqF69OOhnoQIljLPRfBYuwv2ljNxf6HcQiJaoCpHHruSz2MMLkOrHBpFtDI6y1d34wez+YqtyMra8mpm3Cpu6HKwPs6kO42pmqe8BgtiF0FFyrbz36lmfr1Sp/bWtEPPD6kbsWnIQq6NR0E3VIZWlo8ssObVYLUjWMewv4J+5Dq0w6EWS/jj4/iTkwsKuiNhZXTWbJh7fpm6gqWrmLrB0HD82i2kbixZg+EWJySwbNteDnjALY7jvGfeY398pG0dx3mcljdpyuuKKAg4ePttjN16CwQBpevfTPYd7+Rbdz/J2DYfX3HZue4nVAtjDOUGuaCyiQt7N9Kf7VvqoaecBir9ed73Cxdz9y3PsuuVcRrLP8z2gfu48tkXmfriF5h8+Ees+tjH0Pv6l3qoKa9trgP+Kbkt5v0+IrZtXw+8l3ihL3Ic54/mPb6SuJbrGeA84NOO4zyZPPZR4EIgAF5yHOdzi3sbi6dYttC02DENZvtQNbyAIHF6W2iCWcjo5KxB6pk84dg2lEIWZYHJiug4rKZqYGEy2ZwiDINDnrtUaJUKarl02N5Fp5J2vdYxRJOKWZ2ZukdmESlNcl4NlnuM22mqZKB74ea5x4IQAmP4yEZTqiIPcUosGUVKRpF91f0cZByi6LCRyJNFZzqgsYQT8Dl1jwt85kJVydgb2s1yjxcrc+TzvbX/KAxjwdOoxz2/TmFKvpI0aA4bdSK3GZvQHCV19kgIIdi8pnvWEr+jBvBEj9vJ5ETf2deBzwO/kYiteqvuynGcPzhZg0s5e3BHRtj3+b+j8dKLqOUy0QfewXfU/Yz90x3kJis0zRl2rnyBK9ZdwDWrLqGSWaTTU8oZiWlp3PSBzTzy/e385Ec7UbWrufPqQTY5D7Pq5RfZ/vu/S/dbb6D7pncgzVOf2pFyRvI7juN8s/MO27bvPNpGtm1ngM8C5zmO07Rt++u2bV/nOM69HU/7n8A/Oo7zTdu2NwFfAM63bXsI+B3gQsdxItu2H7Vt+z7HcV44eW/r+BFCkO1wRmsV4Deafju6YRwmYiKFJJspEl54EZsV5ZD6q/g5HZNERcdSYoH1WkIIgVgCcQXMiWAdjZ6SRU/pxGp82rubV4Pl8toRuhCnIDZc/5AonaXOWp+XjaM0TFsknTU85gKGFKeLznEcrk7omCOlJ0Jy7foTE7MW9LlTG/sQiegJm03CprtgSulxv2Zn/63W64nZfS0lJyqwHnMc57O2bf8hcDPwSeJ/NCkpcwg9j/G77uDgbbcSuS7+5g3cfpHFy6PfY8ULl5Cr55k2q6y5ZJhPXHXjMRWbppzdSCm44po1VPrz3HfbNrI7V/HCOWWeXXUfVz9RQ95+GxMPPkjfhz5E/tLL07TBlDnMF1cJlxKnDB6JK4EdjuO00gofBG4COgXWOuDV5PZ2YLNt2z3AW4HHHcdp6ZaHia3hDyuwyuXMSbEQrlSOPV0nkzMZm/EQmkrGUCnkPfr7C5TzJ7ZYodZDRsJYFPSXynRnykzsOXjc4zqZLNV+F2J6PEfDnUErFSidhnFZTckeP/48NKlSqRy+Z9NSMFz1mK65DPTPFVGlwGRfsBtT1VkxeOoyViqVPLqls3citmfv780t2fli6hrVyTjGODhYorBIcX28VHoLyELrulcxKhUyw0Oop1hkKS9nkToEGRWtVDqp10UURciChTQMunsLx7XtqTgPTlRgRQCO4/yRbdsbHMdpiyvbto2Of1Apr2OqW59m5EtfwNu/nyiX4eEtvTzaP0b2QDdrnn8Daqghui0+9sEr6Cqk0YiUuazZ0Eu5O8vtX3+aqR0l9L6b+JcbH+DCrXUueX6KfX/3WSbuv4/eD30Ec8XKpR5uymsE27Y3AJ8mFkMKcXpgmbj1x5HoBaY7/p5K7uvkh8S1XI8DrWZthWPcdg7j44tv81ip5BkdnT76EztoNlx27GpSzOlMTTeYnqzjN7yjb7gAU26V6anYCa4qPEzXJxcWyajWcY/rZHAix+NU0phs4E410FQX7zSMq+432p+HOqy+po4FQFdGpZxZeFxlejAi45SNuXVuVBseU9PxMarntCU7RrWq2x7HTLVB0/OPssXJo1LJc2CsyvRUo31fZiBLsx5B/dQej5lGSJjUSmlGcNKvi2ahB6Ee37m/2O+Nw4mzk+FfOL+O8lMcxUUw5ezGGxtj9CtfZOaJx0EIXtk0wO22h6u5FLdvZmhsCIHg4jeu4rIrVyz1cFNew3RVstz887N1WefU3sxPzvs+21Zl2fJgyLoXnmfHf/sjildtoee9N6OWykd/0ZSznd8H/gD4OPDHwArgQ8ew3QjQ+Z+ykNzXyX8Aftu27d8CxoExYFfyvLXztn1NOuGWcgb7x2uMTTUwVGXBvj3HimSuyQWQGhF1IFrOe8fh6LcYlHYTW/mabG8hhDhsMWRv5vQ4xSqdKYJLWIPVmSK4JGYM81suLKIW6niQpklYj4VlZ83UycJYtuykv+aJcqJH9L22bV+Q3F5n2/ZDHY+tJBVYr0vmpwNOD3bz7c0RB7oCwokKy1+5iJKrYZgqN7x3I4PLT20xa8rZQVyXtYmH79vOU4/tYsNzb2T76ke5++01Hv/RFt60+xnEQz9k+rFH6brxJkdsLqYAACAASURBVMpvueGUfHGnnDHscBznMdu2px3H2QHssG37Xcew3cPAio4sjC3A39q23QX4juNMAYPAnzmOU7PjLsZ3OY7jJjVen7BtWyRpgldy9IjZktASWADDfbkFa6uOlfk1WCnzOI4arJOyu0RgHU8PrNcbnQJrMYsLJ5MlSXNfKoHV4RoojtFB8EzlRI/os8A/Huaxj57ga6acwXSmAwaZDA9c0MXWNQGha1HceRHrZ3ppui49fTne+p7zTnu+ccqZjZSSLdevpbs3y/fufJ6Vz1/G3uFnmdqyizt2vpXKszt44/hPib71DSa//z16bn4/+cvS+qzXKStt284CWdu23w0cJO67eEQS0fRx4K9s2x4FnnIc517btj+ZvMafAlcBN9q2/RjQBfxasu0u27b/DPgL27YD4O+X2uDicBSzOpoisQyVnuLivodFp037KexddMbSiiidrslrKrCOSqvOWyAO6QF3OmlZ1eeLS1MeMd8t8PRFsGZF1dm+EHqiR/T3HMd5aKEHbNt2FjGelDOMznTASAieW7GC711cwzVDstW1XJe9hl0HR2g2Xc69YIAt1689KYXdKa9PNmweoNSd4c5vPMPAq+cyXitwcM2P6FnzNv7PD1dz8ciTXDa+jX3/+7NM3Hs3lQ9+GGvN2qO/cMrZxC3EgurPgW8RC6HfPJYNHce5G7h73n3/b8ftfwD+4TDbfoEzwOxJSsH5a3sWFblq0ZnwlS5mHMqsTfvpi2Dl9BxZ7cQt1892pBQIBIa2sDPm6UJRJWs2VJb2uml1roWjNsI+abucE8FKBdYhHE5cJY8dzakp5Swg9Dwm7r6TsVu/TeS5jOT7uGNjkfFVEyihybsH3k1uX4mf/ngnqip5000bsDel/YtSFk//siI3/8LF3PmNrbB3CKOe4wn7Tt79vht46vG38Hfb1vOmsSewt7/Ezv/x38lffgU9N78frSu1/n894DjOVzr+3LBkA3kN02pqu1hSUXVkWq0kpHX63Pw2dK07bfs6U+ktW0vaA6vFUtfJCSGJovCYGmGfLDr7U6URrJSUeVS3Ps3IF7+AN7Kfumpx77KLeeHSMWRmgmWZIX5h3Yd55I5dvLhzJ8WyxVvfcx7dvWlv6ZSTRy5v8K5/cwHfu/15nn8GVj59Bd9t3MOWCy/gyo2X8+V7unn0wE5umHgCfvwjZp54nPJb30bXDW9Dmml66tmIbdsbgfXAdx3Hadi2fS3wG8S26n/oOM74kg7wLESTKlIqdJupucxCqKUS+YsvOW3pVynHxqqB47PwPmuRAkIQ6ulL720JLKEoZ/11cXa/u5STypx0QASPFzfw8Np+WP88UvhcO/wGLlGu5K4vPk+96rHa7uHaGzegG+lplnLyUVWFN719Az19OR66/yVWP3clP5nZxt5z9/N7v/gBvvtQhc8/3st509t5y9STHPzOt5m4/17K17+F0nXXo2TSNJqzjD8FngK+a9t2Gfgm8DfJY58hrQ8+6Ughuah381IP4zXN2T6JTDmTiaNWp/McFaqK1PWzPj0QUoGVcgy00gEP3HoLeB47zQp3916KeukUofEspmLw4fUfxH0ux+2PPIOUgqvetIbNlw6lKSQppxQhBOdfNkxXJcs9tz7LwKvnMjN+gL8a+yz/5tL3cNV5l/CPd+T4zP7lvKHqcOnkNsZu+Sbjd91B6drrKL35Laj5dDXzLOGg4zj/BcC27Z8FHnEc53eTv//vko4sJSUl5TWGkIKI01cj2CJzzjltA5izmVRgpRyR6tan2fcv/0wwOkJVMbm/9zKmz1tHZuVP2N/cy2C2nw8OfYCf3rmP0X1xSuCb33Uulf6l6Y6e8vpkeFUXH/zly3jgdocdL4L1eIkv7L+L8y8e5j//3Jt54PF93PJDgx9mbd7Cq2waeYqD3/0O43fdQe7Syyhd8ybM1WvSBYEzm85OkTcAXzvMYykpKSkpLZdL7fQ6gL5e0vRTgZWyIO7ICPu/+mXqP32CEMETxQ04q6/ggi0GD03dQa1Z5/L+S7jIu4r7v7wd3wvZsKmfN7x5LZqenlYpp59MVudtN2/EeXofP7z3BQZePYcdo1P8zw3/wHsufRN/vOFyvnzPC9z2osadvSu4afk+zh3ZyvTDDzH98EMYw8MU33gt+UsuQ8mlNYNnIBXbtg1gCHgLcaPhFq+d7pMpKSkprwWSnmDiNDXCfr2RHtWUOQS1KgduvZWJe+9GhAG7zAoPDm/hsus2syH3U+7Z8yM0qfKBFe+j+XSWH2x7Ed1QuP6d57Du3L6lHn7K6xwhBBs2D7BibTcP3v8iLzwN1k8K3PrST8md9xgfuvF6bhhbztceeIlbdqt8u7SMmzZ4nD/p0Hz2KUa+8E+MfOlfyJxzLvlLLiN34UUo2bRW6wzhH4EdQB74U8dxRmzbviC5/+ElHVlKSkrKa45WDdbSOyqejYgoio7+rNcoo6PTZ+7gX2NEvs+B++/jwC3fQmnUmFSzPNh3Cavf/EZWrnf5+ovf4kDjIP2ZPq5Xb+K5Hx6g2fDpX1bguneckzYOTnlNsm/3JD+4fxsHdtUBqObH6DvH5MYrruLVXT5f+95L7B2rAXBBv86blD3kX3mG5o4d8QsoCpn1NpnzNpI9bxP6UFpXeCqoVPIn5aDatq0DpuM4Uyfj9U4lJ+P/V6WSZ3Q0zX5skR6PWdJjMZf0eMzSOhbVrU8RVGuYK1ai979+2+gs9tw43P+vVGC9zol8n9333s/Ed29Dr07QFBo/7tlM9prruPzSMnfvuounDjyDQHBt5Vr0ZwfY9fI4qia5/I2r2XjRMqRMJ5wpr232vDrOAw88y+QeDwBPr1NYJfiZS89nvKpy7+M72fbqBACFjMaWIY2N9Z1YLz6Nu/PV9usoxRKZc8/FWrsOa/Va9GXL2s1EU06ckyWwziRSgXXySY/HLOmxmEt6PGZpC6xnthLMzGCtWYPWU1nqYS0ZqcBagFRgnTijYzO8fMc9aA/fR7YxhS8kz3RtwLr+RtZfWOCh/Q/x+MhPCaOQNbnVnD99Fdt/OoHvhQytLPPGG9anUauUM44DI1Pc9+BTjL7YRAZxWoRSCFi7ro9iV4lnRqZ57PkDzNRjIaYqknO6Fc7xR+ifeBVr10uI2kz79YRpYq1ag7lmDeaq1RhDw6hdXWmU6zhJBdaJkU4a55Iej1nSYzGX9HjM0joWteeexZ+aImNvQC2VlnpYS8apElhpDdZZTBhGzDQ8pmseB6cavLp/mtFXdpN59jHWjGyjFNTxheTFofPJXH8dAysbPLL/B9z+1MsADJoDXORvYeQRn+dnDmJlNa5+y3rsjX3pBDLljKSnt8AH3vMGGg2Xex9/jOef3Yd+sITz+AHgAAj4mb4c6mCRSS9g92SDF0bqbKVMRBkGNtPjTrCsMcqyxiiDjQP0PPcMteeeASAQKn62RNS/nKB7AD9bwtNzuIpBM9SoN3zqNY961aXZ8NvjkopA11V0Q8HK6OSLBrmCSakrQ09fjnJPBjXNk09JSUlJOcmkvdpODelRPYP59oMv8+SLBwhDCKMo/gnjn2rDp9rwiCIoejOsq+5kXfVVrqzvRwCeqjOycROjV65guzrCK1NfJHw+BMDOrmft1PmMPO7ySrWGqkku3rKCCy4bTpsGp5wVmKbOTVuu4q1X+jy6+0kefvZppvf7ZKe6iPaHiChO+ysDZeLbUpUIVRJafYSFXvYD+8IIEYTIMCRuKNKRLjiW/NBMfoAoQos8TOmTFQFCChCSUEgCTAJfMLpvmv175pYQCQHlniw9vTl6B/P0DRbo7s2hKGl6YkpKSkrKCSBSk4tTSTpbPkOYdmf47sv34IceilRRhcJTU+OMqg2IFCQSEUoyzYCy22SdW2OgNkHvxDj5arX9OmN9OZ5Za/H0MvDV/VDdj0CwMrOC5c316PvK7H9shh1hFd1QuPCKYTZdMkQ2Zyzhu09JOTWoUuXK4Yu5cvhidk7v4Qe7H+ane3+AX5UYjSx5r0yX34vpZ5GeJGhC6MfR4SiMUFSJZhrouoKmKximipXVsUwFLWiguzNo9SmUmTGUg6PIqQNE05MEMzMwLz1bLXex6pN/ThRBbabJ9GSD8bEaB/bPcGBkhrGRGQ6OVnn+mf1AHPXq6cvRN1Cgd7BA32CeQslKo8spKSkpKUdFqCoIEOrp7YP1eiEVWK9xQtclmJ5m757n2PHkA5huiNEMMd2I89wQsxlhuiG5Wkhp2kcL5m7f0AQvD+psX2awfUinbql0613Y0TKKXjf5RhfNUcnYvipjEcA0PX051m/s45zNA2nEKuV1w3B+kI9suJkPrn83z4+/xE9Gn+KpA8+y233ukOcqQkGTGpqiIhCEUTjnJwLeveFGLh3asuC+ojAkcl1CzyVyPSLPRSkUEUIgBOQKJrmCycDwbF58FEVMjNXYv3eakT1T7N8zxYF9M4zsmYbHdwNgmGostgby9A4WKHdnyBUM5Ek04giCkGbDp9nw8L2Qwv/P3nvH2XWV997fXU6ZM31GvcuSvdwNBtsYG4wx3RTTHEiAkHJTSIEkXMjlzfVLEpIQQghJXhLuDQQCCQkQiA0YY0wzwcbdWHJbstpIGk0vp5/d1nr/2PucOSPNSCNPk0br+/mMdNre+9lrt/VbT1ldWTJZ84A2GAyGM4nM5i2kVq02IYKLxGnXqkKIlwFvAoYBLaX842U2acHQSqEqFaJigahUIiwWiUpFomKRqFRqfB41fa59v7H8TSdadzqFWrMav6eTcmc3ff4WwnQOnUpja4dubfOcfo1XiRq5HwWgQBXbtli7oYON27o594I1dK8y8/4Yzl4c2+GC3vO4oPc83q41Y7VxDuYPMVgZYbQ6Tt7LE6gAXwUEKi6GYWNjW1N/juXQm+2edRuWbWNls9jZ7JztsiyL7lWtdK9q5fxL4pK6YRAxOlRi6GiB4YE4tPDw/nEO7x9vLGfbFu2dWTq6W8i1pslmXTJZl0xLCte16ysnChWBH+L7EYEf4XthIqRCvGpArUlUNdOzupWf+5Ur5rwfBoPBYFh+7EwGO2OikxaL00pgCSFywKeBi6SUnhDia0KIG6SU31+M7eXv+QnDX/x8/MZx4nLLjoNV/3NTWK4b/6VO9DoFaHQYQhShowjtB0SVciyokv9VrXZcWNBMWKkUTns76XXrcdrbcdracdrb4v/b2uK/1jbs1lac5M/KZBuhQUcOTvDolx9LNhUlf/Hodq41Te+aNrp6WujqzdGzqpV1GztIpU+rU8FgOC2wLItVLb2sauldblNmxE05rNvUybpNnY3PKmWfkYEiI4NF8hPVxl+z6DpV0hmHTDZFV0+ObEsqFmhZFzflsGFz58lXYDAYDAbDWcTp1qu+GuiTUiYZ4dwD3AgsisBKrVpF9pwd6DBARwpUIo4ihY5ClOehyyV0GDbE06liZ7PYuRxu7yqcXA67tRW3LprqwqkhouL/5zuisGlbN7/03msBjW3b2I6FbVsmN8NgOAvItabZurOXrTuni0LfiysYerUArxZSqwZEYeyN0hoc127kkqXSDumM2xBSCxliaDAYDAbDSud0E1hrgOZi9IXksxmZ99wpq69g67UmtMVgMBgMS8tCzf21enX7QqxmxWDaYwrTFtMx7TGFaYvpLEZ7nG7DksNA8152JJ8ZDAaDwWAwGAwGw2nP6SawfgpsFULUY+SuAW5fRnsMBoPBYDAYDAaDYc5Yeg5FF5YSIcTLgbcAI0CwkqoIGgwGg8FgMBgMhpXNaSewDAaDwWAwGAwGg+FM5XQLETQYDAaDwWAwGAyGMxYjsAwGg8FgMBgMBoNhgTACy2AwGAwGg8FgMBgWiNNtHqwFQwjxMuBNxGXe9bHFMoQQ24GPAw8CzwG+JKX8RvLdRwEfyAKDUspPLKXti8kc2mUb8MfAE8BFwCeklI8l370DeC4QAfuklP9nCU1fVObZLjuJz6VQSvmWpbR7sXm27SKEuAJ4H/AoIIAHpJT/tJS2LxbzaJM1wOeAnxDP75cGfkdKqZbQ/EVjPtdQ8v0a4vPlL6SU/99S2X0mcrK2PhsQQtwH1JK3kZTyBiFED/BRYD9wLvAhKeXQctm4mAgh1gEfAS6TUl6RfJYlfhb1E+//R6WUe5LvVuzzG2Ztj3cDv8HUefJZKeUXk+9WbHsIIXYQt8UjwCZgTEr5Jye6PoQQ/5N4aqRu4Lv1/vCZzgna4sPAS5p++mdSyruSZRakLVakB0sIkQM+DfyelPLDwKVCiBuO+dkHgJ9IKT8K/CXw18myNwEXSClvkVJ+APgFIcTlS2f94jHHdvkkcKuU8mPEN+ovJMtuAt4PvD9pl18VQpy7ZMYvIvNpl4SrgG8vha1LyTzbZT3wt1LKjwPvAT4mhFi1NJYvHvNsEzf5/C+klL8HXAtcvTSWLy7zvYaEEDbwZ8BDS2Pxmcsc2/ps4DtSypckf/X9/3Pge8lz/Vbi82ylci1wG9A8YfX7gENSyr8A/gb4LKzs53cTM7UHwNuazpO6uFrp7dED/IeU8q+klO8F3iaEeB6zXB9CiKuA66WU/xv4PeCvhRBdy2T7QjNbW9B0XrykSVwtWFusSIFF3Gnpk1J6yft7gBuP+c0QsDp5vRp4OHl9LnCo6Xf7gZcukp1LzVzapXn/9xM/vFcBrwQellLWy07+FHj1Itu7VMynXZBS/huxx3Ol8azbRUr5DSnlA02/C4FgUa1dGubTJkfrXjwhRBvQBvQtgc1LwbyuIeCDwGeAicU2dAUwl7Y+G7hECPFBIcSHhRD1/b+R+NkEK7xdpJT/CRSP+bix/1LK3cBlQogOVvbzG5i1PQB+WwjxfiHELYkHB1Z4e0gpH5RS3tb0kQ2Umf36eC1T500APAW8eGmsXVxO0BYIIf6f5Nz4YDJwBQvYFitVYK1h+oVWSD5r5hPAVUKITwC3EIfuQHzSXSGEsIUQKeLwwY5FtnepmEu7/AR4QfL6yuT/jjkue6Yyn3ZZySxUu/w28OdSyvyCW7j0zLtNhBBvI55A/WNSyiOLZOdS86zbRQhxPVCRUt6/uCauGFbyvfhU+Esp5V8Cfwp8SAjxYqa3TQHoFkKs2FSIGZjt3Dhbz5m7ic+TjxN7x7+afH7WtIcQ4o3AnVLKp5n9+jgr2uOYtvgq8Mnk3CgCf5/8bMHaYqUKrGGgvel9R/JZM58HPiOl/H3gjcCXhRA9Usp7icMFbwF+izhH6xArg7m0yx8AvUKI3wO2AmPAkTkue6Yyn3ZZycy7XYQQPw+0Sin/ZpFtXSrm3SZSyv8ArgfeLoR4zeKau2TMp13eALQIIf4QuAR4uRDilxbf5DOWlXwvnjN1D7mUMgL+m/iaam6bDmBCShkuj4XLwmznxll5zkgpD0gpR5K3PwCuE0I4nCXtkQxeXU8c6gazXx8rvj2ObQsp5RNSynLy9Q+YilRbsLZYqQLrp8BWIUQmeX8NcLsQoidxlwNsBgaS1xOAAuwkSXS3lPLDUspPAr3Afy2h7YvJXNplA/DxpEP8U+IEPx+4E3ieEKIe33w1cMcS2r6YzKddVjLzahchxK8Ca6SUHxFCXCKEOG+pd2AReNZtIoS4TghxJUBS2KIPOGeJ7V8snnW7SCnfJ6X8aJIXsBu4S0r5ueO2YKgzY1svoz1LjhDifCHErzR9dC6wl7gd6nmNZ1270LT/QohLgMeklAVW9vN7VoQQf9HkwTwXOJAI8hXfHknY7CuB9wLrhBBXM/v18S2mzhsXuBD48ZIavIjM1BZCiL9q+kn9/gEL2BaW1vrkvzoDEUK8HHgLMAIEUso/FkJ8DBiXUn5UCHEtcULoI8B24njcTyc5AV8DfgikiB/2P1qWnVgE5tAu7wZeQ+xO7yEOYxpPln0H8Hziqjt7VljVnfm0yxuAdxFXy/tCksS/Ini27ZK0yReIq8JBPFDxOyvhWppHm1xFnFj9KPEI2UbgN5tG0c5o5nMNJcv/MnE4aT/wD1LKFdXhWUhmautlNmlJEUJsAD5F/PzuIH5W/z7QRVy0qg/YAfyhXLlVBK8jfu68CvhHkkJdxIULBoCdxKHZzVUEV+TzG2Ztj18DLgYOEHvH/1ZKeV/y+xXbHkkRh7uZKhrUSny9fINZrg8RV87rTv7ukCuniuBsbSGAHLF36hLglqZrZUHaYsUKLIPBYDAYDAaDwWBYalZqiKDBYDAYDAaDwWAwLDlGYBkMBoPBYDAYDAbDAmEElsFgMBgMBoPBYDAsEEZgGQwGg8FgMBgMBsMCYQSWwWAwGAwGg8FgMCwQRmAZDAaDwWAwGAwGwwJhBJbBYDAYDAaDwWAwLBBGYBkMBoPBYDAYDAbDAmEElsFgMBgMBoPBYDAsEEZgGQwGg8FgMBgMBsMCYQSWwWAwGAwGg8FgMCwQRmAZDAaDwWAwGAwGwwJhBJbBsIQIIW4RQgwKIT683LYYDAaDwTAXzLPLYDg1jMAyGJYQKeWfAN95NssKIQ4KIV6ysBYZDAaDwXBizLPLYDg1jMAyGAwGg8FgMBgMhgXC0lovtw0Gw1mFEOLzQAVYA2wBRoBflFKOCiFeCXwY8IAi8OtSyqNCiM8BbweeBiaBPwAGgb8HVhMPltwlpfzwku6MwWAwGM4KzLPLYJg7xoNlMCwPLwV+SUp5JdAP/J0QYjvwn8C7pZQvIQ7H+AKAlPKXiB9K75NSvkRK+TCQA/5JSvkiKeU1wHVCiBuWYV8MBoPBcHZgnl0GwxwwAstgWB7ulFIWk9dfBN4C/DzwkJRSJp9/CbhBCLF+lnUcTr6/VwjxI+AC4HmLaLPBYDAYzm7Ms8tgmAPuchtgMJylTDS9HgNSwCbgwuSBU6cPWAsMzLCOPwReDFwnpawm4Ru5RbHWYDAYDAbz7DIY5oQRWAbD8tDT9HoVEABHiEcBb6x/IYToBgqzrONK4MdSymryPrUYhhoMBoPBkGCeXQbDHDAhggbD8vAaIUR78vpdxPHrXwKuEkJsBRBCrAHuZuo6LQI5IcT1Qoj3AnuBK4QQthCiFbh2SffAYDAYDGcb5tllMMwBU0XQYFhChBC3AO8BbieuoLSeuBLTu5JKTK8A/l/iUUEFfEhKeV+y7G8nyxaAXyEOz/h3oBt4AtgAbE+W+dJS7pfBYDAYVi7m2WUwnBpGYBkMBoPBYDAYDAbDAmFCBA0Gg8FgMBgMBoNhgTACy2AwGAwGg8FgMBgWCCOwDAaDwWAwGAwGg2GBMALLYDAYDAaDwWAwGBaIM3oerJGRoqnQYTAYDGc4q1e3W8ttw1KzEM+v7u4cExOVhTBnRWDaYwrTFtMx7TGFaYvpzLc9Znt+GQ+WwWAwGAxnIK7rLLcJpxWmPaYwbTEd0x5TmLaYzmK1hxFYBoPBYDAYDAaDwbBALEuIoBBCAG8HqsB1wIeBYeB/E8/wvQ34AyllaTnsMxjOBrTWHCkN0F86SjWs0ZrKsbVjM2tzq5fbNIPBsIgMT1TIpl06WtPLbYrBYDCsSJZcYAkhHOATwOuklEoI8QUgBL4I3CKlfEAI8TvAB4kFl8FgWECUVtw38DDf7fsBI9Wx477f1rGFV217KRf3XoBlnXWpMQbDiiZSiv0DBTpyaS5s7VlucwwGg2FFshwerCsAC/gdIUQOGAM+B1wPPJj85h7gMxiBZTAsKKPVMT7/xL9zoHAI13J4/trncG7XOeRSOQpekSfHJU+OST696/Ncuuoi3nnBW8mlcstttsFgWCDCMK6tEUamRpTBYDAsFsshsLYCVwNvl1LmhRD/CvQCVSll/Y5fANYsg20Gw4pl7+QB/u+uf6EcVnjemst4484b6c52TfvNSzZfw9HSIF/Zcyu7Rp/gYw8N8luX/Sqrc73LZLXBYFhIgkgBECX/GwwGg2HhWY4iFwXgaSllPnn/E+BioEUIUY9H6iDOyTIYDAvA3skDfOpnn6Ea1fiF89/CL1/8C8eJqzob2tbxu8/9NV6x9XpGqmN84pF/YLgyssQWGwyGxSAIY2EVKuPBMhgMhsViOQTW/UBvkosFsUfrCeCHxOGDANcAty+DbQbDimO4MsL/2fV5Iq341YvfyQs3XHnSZWzL5g07Xs2bz30dBb/I3z36TxT84hJYazAYFpOGB0splDYiy2AwLB36LLrnLLnAklKOExew+KQQ4hZgNfA3wG8AvyGE+CPgEuAvl9o2g2GlUQmqfHrX56mEVd4u3sRlqy86peVfuvlFvHb7K5nwJvnM7n8lUtEiWWowGJaCMJwKDYxMHpbBcNaifJ+ouHQDp6pWpfjg/QTjxxfXWoksS5l2KeV/Af91zMcHgV9eemsMhpWJ0orPPfklhioj3LD5xVy94YqTLzQDr9r2UvpLR3l0ZDdf3/st3nreGxbYUoPBsFQETQIrjBQp10yHaTCcjVSe2I3yA9qe81zsTGbRtxeVK6AhKhRJ9ZxaXncUKcpFj7aOLLZ9ZlQ3NndWg2GF8t/99/HkmOTCHsFNO1/zrNdjWRbvuOBm1reu5UdH7uHhoZ8toJUGg2EpCZuKW0QmD8tgOGtRfgBAVC4vyfZ0FEfAKK92ysuWix5DRwtUSt5Cm7VoGIFlMKxAxqrj3Lr3dlrdHO+44GZsa36XetbN8D8ueRdpO8WX5a3kvcICWWowGJaSYz1YBoPh7EZVq0uyHR2G8fa8UxdJ9aqn6gwaFDICy2BYgXxt77fwVcCbz30dnZn2BVnn2txqbtp5I+Wwwpee/tpZlaxqOLMQQlwvhHiXECIlhLh6ue05nWgWVUZgGQxnL3Y6BcS5UUtCFAss/SwElk5uVWdSv8MILINhhfHkmOSxkcfZ0bmNK9ddvqDrftHGFyC6d/L42FPcN/DQgq7bYFgIhBB/CPwJ8HZAAT8nhPj95bXq9CEwRS4MBgNgpeO8K1WpEIyMEBYWNzKlHiKolUIF/qktmwirM0hfGYFlMKwkAhXy5p7wfgAAIABJREFU1T23YWFx83k3YVkLmwxqWzbvuOCtZJ0MX9/7LYp+aUHXbzAsAFuklC8CDkopIynl+4Aty23U6ULQ7ME6g8JtDCubSEUobTyqS0qiVqJqher+fVSeenJxN5eECALo2ql5seqhgWeSB2tZqggaDIYTo5Rm4PAkhw+MMzxQJD9RpVL2cV2bllyarp4WNm3r4RyxiraObGO5u4/cw3B1lOs2XcOm9g2LYltPtpsbz3kFX3vmm9y27w7eccFbF2U7BsOzpD6JffOTuGU5DDndqM995do2oVKNvAaDYTnRWvP42NO0p9s4p3Prcptz9lAXK0ukWZoFlvI9HOaevnAmerCMwDIYTiO8WsATjx5l90P9VMpTLvS2jgyr1rQRhYpyyadv3zh9+8a59wd72XnBGp5/7TYyHTbf7fshLW6WG7e/fFHtvG7jC7lv4CF+OvAgV6+/gh1d2xZ1ewbDKZATQnwI2CKEeCvwCiA8yTIrkmrFZ+hogfWbOslkU43wwGzGoVRVhIsQIjhSGaPFzdKWbl3wdZ9pRJUKtX17aTn3XOzs0mj8UlDGtVw4hc7rcuNFPkHkU1ii4kmD4xWCULG2u4V0ylmSbZ6O6GM8hlYqtbjbi6bm0VTGg2UwGJaCWjXgkXv7ePKxAQI/Ip1xuPA569l+3mrWbuggk51+qZZLHgefGeXxR47yzJPD7JcjtF0YUs5Wed2OV9Cayi2qvY7t8DbxRv764X/gy3v+iw8+/3dx7LP3QWU4rfgg8CFgbfL6DuDPl9WiZaJU8Aj8iJHBEpu2dTcEVUvapVQNFrzIRTmo0Fc4BJbF89c+Z0HXfSYSFQpElQphPk96CQSW1po9E/toS+XYvH7Vom9vofCiuLMdqhA/8kk76UXbltaag4OxkBsar3DZzl5S7ln67FIay7Jwe3sJJycgXNxxKB01ebBOsdCFVkvrbVsIjMAyGJYRpTRP/uwoD/z4AF4tpLU9zfOv2cqFz9lAOjPz5amUZqIa4Lel2XzVJlaNVjj42AD53ZqdHVdzxeXPbkLhU+Wczm1cvf4KfjrwIHf338tLN79oSbZrMJwIKWUNuCX5A0AIsR5YolJZpw++F3doqhWfStknSDop2XTcoZwtRLB/pIRlWWxYdWpeqKHKSPziDBplXky0SpL6F7njWkdphVIRfhQsyfYWilo01dkuB5VFFVjNXttQKSaKHmu6F3dA8rRFa6x0mpYdO6k8/RRhPo9WCstenPIMOoyw0ymUH6BPcS6s+i3lTCrTbgSWwbBMjAwW+eG3n2ZsuEwq7fDCl+7g4udtxHFmvrk9c2SSu392lEefGaHqRdO+y2zcw9ZKJ50T67n1X3Zx41svYd3GzkXfh5t2vIZdI0/wrf13cvmaS+nKLP42DYYTIYR48Qwfvxd480mWexnwJmAY0FLKP57ld78A/CvQLqUsncqyS41XC7EsC601+YkqdmscApROOdiWNWuRi6NjFSyYs8AqBxUmvTzjtQkAMm5mQew/41GxgNXB0gieKAn5CnV0kl8uPfmSR99QEduyuPic3mnfeeGUwKqEVbrpWjQ76mGyna0Z8mWPyZK/JAKr6JcYKA+xrnUNHenTI3xTa90QU5YTywEdhVj2IgncMMTK5bD0qXuwziRhVWdeAksIcamUctdCGWMwnA0opfnZ/Yd48L8PopRGXLKOF1y3nVzbzJ2SwfEK//ZdyRMH485Lb0eWy89bzYZVrbSkXSaqRX5Q/R6HA5fJiTVsqWm+/sVHufS67Vx79eImDLelW3n9jlfx7/Lr3Lr3Dt590dsWdXsGwxz4ErAHsIAUcD7w9IkWEELkgE8DF0kpPSHE14QQN0gpv3/M7y4ALnw2yy41YRgRRYrWtgzlkkcUKqrV2JOSy7q4jj1jmfZIKaJEGHh+RCZ98vCpA/k+auHUiHSkTr8O/nKgT0FghZGi4oV05J595zZKhFWoljblUHke5V2PkT3nHFK9x4cmBmHEU4cmpr1vDss71oO1kHhBRKYpz6peRbM9l8ILIvJlH6U19gJX3G1mojbJvskDAGScdENg5Seq2LZFa3sae5G8RidEK7BiGWAlx0OHUXzXXPBNqVjQuS6O4xAWCqfkLZsqcnFioeUPD2OlUqS6u+dt83yZrwfrX4UQ/0tKefuCWGMwrHCK+Rrf++ZTDB7J09qW5vobz2fz9p4Zf6u15keP9vMfP9hLECou3NbN6164jfM2d00rv377/u+iDoa86cJXsfmiS7nrR/ugv8Bjd+/nwaeGuPn1F7HxFEN9ToUXbriSe47ez4NDj3DtxqvY2bV90bZlMMyB90kp/7P+RgiRBU42D9bVQJ+Ust7Tuwe4EWiIpERIfQD4deIcrzkvOxPd3TncBcj9WL165tHwUqFGR3sLq9e3MzZcIp1xyaPp6sixZWM3o6UAL4iOW75SC+hoj/OFsq0ZVnWdOHcoXyuQqlisbVnPls4N7Jvoo+SXZ7VrsVmu7c5EcTJLrZwllXPpOoldB47mOTJW5cp1nbTMEh5+MkqeTbsfH69QHX9sFwt/IsRuS5N1Itpn2Ga5GtDRPjWlR2t7C51NA4p9vk1vrgPbsoi0WjC7Jwo1njyc55Kdsehbvbod7VToaG9h7Zp22jta6B8ukc6m6W6qxrvQ5MfGaFfxcelqy9GV0kw8c4CK6sJ2XEJfcd6Faxdse1pp+g9P0tWTo6195oHb1avbsdqzOC0tdK9up1TsoFor0NWVJdWxMO2vlSY/WaWjqwXCAKsjS2ZVB5bjUMOnu83FbZ1b32RytELadenszLF6dTu+F3LowDibtnaTbYkVYVSrMf7UUZxcjp7zTm1mjsW4VuYrsL4KdAgh/g14DPislHJs/mYZDCuP/r4Jvnvbk9QqAeeI1Vz3qvMaN4ZjCSPFv9zxNPc8PkhbS4pffe2FXHH+muN+Vws9fnTkHlpTOa7ZcBVZN8N573weDz1yhAfu2kt6uMzf/PMDvPiF23jN1VtxZwk/nA+2ZXPzeTfx8Yc/xVf23MofXvFebMtMsWdYHprFVfK+JoS46CSLrQGKTe8LyWfN/Bnwp1JKXwhxqssex8TE/EfqV69uZ2SkOON3E2NlCsUqrZ1pSiUPXaoxGilyGZexsRKlUo1ixWd4uDBtwKZQ8SkU43S1Q4fHKD3aR3rDRlI9vTNuZ3/+EMVqlQ3uJqoFRangU/CqDA3nl/w+cKL2WA6qY0WCQg3bh+Akdg0OFykUq/QP5OlsfXZerIJfpFiIj10YBUyMLaw3aDaC8QLVQo2qW6DWdfx+lqoBhWK1MT3AkYE8fiLcgzCkb984q1a1k06lmKwV6XfHSTvzd6P0j8bXwOH+SXo61jEyUmQwuS6K+Qy2bVEoVjl4eIJwTdus6/H6jxCMjmJns2TPOQc7dWrHZ2SyQLEWH5d0UCKTL1E8NEQ+Y+G05qAIHYPZ49IDRodKZFvcaVOxzIVqxefIwQnGx8us33R82H79OilOVrADi3CkiFf08Ao1wqE8rrcw3rxivsZgf55sS4oN61ooF2qksx52NkutUCM4MkKqZ26FdiYnKwR+hLY1mZxLfqLK8FABhaa7Nw7x9I4cxivUsMoB0SncB+Z735hNnM1LYEkp/zR5+e9JDPouIcT3gU9JKe+fz7oNhpWC1prdD/dz7/f3YlkWL3rFuVz03A2zTgLsBRGf+vpuHj8wzrZ17fzWGy+ht3PmG+w9R++nEla5cfvLyTblPTz/8k2s62nl9q/u4pxI84OfHOBBOcy7X30+OzYsfJ7U9s6tvGDd87lv8CF+0n8fL970wgXfhsEwF4QQP2h6awPrgftOstgw0+tadySf1de5GegGbm4SV78vhPj2yZZdDiolj3IxdqilMy62Y1EqByjXojUZ1HHt+P4TKY3rTN2LgmCqw1MdmyAqV6g+8wypq44XWEorJmqTZNwM7em4g+pYsVcuVBHpRRjQeTZEKuLJcUlvtocNbevmtS4V+JR37ya7deuM4XDTfzz3EMF6jsl85iZrDs0MlzJMM8n90uHx+1kqehzcP05kaTo60hQqPp4/ZdvwSJ7qREiQtmhfEz/DvMhbEIHlB/F26nlXza9Trk3Kjc9PLzhxWwUjIyjPQ9VqRJN57NWrT8mO5uOitEYHYVy0oenzwI9wWqaul9DzmRgr05JLn7LA8r2IqFTCcwBmf95rrSHph1hOEiIYhUSVMnZLbtY+ylxRyflfqwb4lWTfHAcrqaipqnMvdKHV9Hmw6teJSv7XWhOMjCT7EC1qsY65Mq+tCyHeI4S4QgjxL8B/ALcD/whcLYT424Uw0GA4k1FK8+M793DP9/aSzaV4/dsv4+LLN85644qU4tO3Ps7jB8a5dEcvH/yFy2cVV4EK+f6hH5Nx0ly36Zrjvt+0rZsb33oprmMjLJv8SJk//8LDfOl7e6h6Cx+j/4adrybrZPnG/jsp+qWTL2AwLA6TwB8nf7cAr5NS/uJJlvkpsFUIUR+luAa4XQjRI4TokFIellK+W0r5USnlR5PffEJK+dBsyy7oHp0CYRDRf2iSaiXAcWxSaQfHsal6IVprWpMpH+o5MM2dTwA/nOr0lWoh/SMlyrWZBUKoQrRWtKamwnzcZLqG6DQqtOBFPl7ocbQ0MO97k6rW0EFAVDr5eurz/tQ7fCei3mEM5iGwlI7zXLTWzyoPqxrWnlX+nK53dhMhqbXmUOEI5aCCVw0IQ0UUROSSc6/mh43fTYzH7aiqFpmkeqAf+cdu4lnREFjRzAIrnVwD/gkEllZqWkGGI0fHmSydWoGGUDeVJ9cKHQRoHa+77rUKmkRnmJ8k/9DDsbCbQ3EHpRXjtQmC5JhXhkbwBwepDgzNvl+JUqn3RSw3Pjbh5CTl3bupPLF73nNONS8+PlJubMdpifs0qja9sKtSmsPDJSoz3G/ql0/dpig5jv7YOGE+T5TPo/yp80Z5HuOjZYKTiOfFZL7y7q+ALwCPADuklL8mpfwp8LfAqQVAGgwrjChSfP+bT/HkzwZYtaaNt/zi81i/efbqSFprvnin5LF9Y1y0vYffftMl05Jzj+WBgYfJ+wWu3fCCWee92rStm1e+6aK4cpPrsqk9w/ceOsIffeZ+Ht0zMu99bKYj3c6N57ycaljlm/u/s6DrNhhOgf8hpbw7+fuxlHKPEOLiEy0gpawAvwn8nRDiI8CupEjFHwLvqf9OCLFaCPFHydsPCCE2nmDZZaHeUW9ty7B5ew+WZWHbFp4foTUND1Y6FT/+j+1c1jugNV2mv3SAsudRKPvHdYZgqmqd0xQKaFunLrCCsVGKD9yPqsUj2lpratWASsljeKDA6NA8RVHThKoHC4fmta6GV2oOQqhZVJ3MixUlHekwnIcHS0eMHwgoHA0bne25Ug08nhx7mv7SwKlv+Jhy9OWgwnBlhNHqGErFgk8rTTbtYlsWtURMVMo++Wp8bB2VwgoSj9ICCSwv8cbO5sGybYuUY+OdoM3r56Tb0UEYKUZH8zzdVLDjuN8rjTpGmIQqIpV45DQKHQaoRGDV57hsFgJRuUykIMzn8UdHT7iPfhTw5Jhk/+RBBstDqCCgdPhovM5SmTCc5Tqs29jwYMV2RMViYkOF8s8epfzE48dNM6CjaE7iq1kcejW/sR0rnQFrqm3rHBkp0T9aYmD8+NDWRpGLZJ1KxedU9fARKk8/hT8Yn7duRwcA1WKVseESk0sUJjsT883B+qyU8ndn+HwL8ON5rttgOGMJg4jv3voEffvGWbepg9e85RIy2ROHPHzjnoP8+LEBtq5t5z03XXzCfCmlFXcd+hGu5fDSLSeef2rrjl5e9voLuOu2J9ka2Fx02Qbu2j3A3399N5eft5qff9m59CxQgu91G1/IvUcf4N6jD3LNhqvY2rF5QdZrMJwMIcS7ml4f+/U7gFecaHkp5V3AXcd89oFj3o8AH0n+TrjsclHv1KQzLqmkAqDtWHHlNqUbBRTSyeDNsZ3Lege06owSRFXKqoLruYSF4nGT5daFS3OuVV1snYonJCoU0FoTVcqQzjDYn2+EONbpWd2KbU95/itln5Zcak5hTIqpffRCD6XVcflhSmksi5OuryGa9ByEUFMb6CCATOzknByv4KacaQUIGgJrhsqOc6UeFhh6mlBFJ+3g1cI4FG+84LH70FFUzqM9fbx3pi4YhsYrtGZTdByTI1YXm7Wqz+SBcSYrRVSnpur72H4Yh8VpsG2LbNpphAjmJyqUgwodvVmyYRa/rMFeOIFVHzxonlA7iBSB9giUj2NnSaecE0Z01AcWnI5O9PgEVnBi23bvHyOXdTl309RgasXzqFYt2tqbQwQ1KEU648Zz1PnTz5W6NglL5RNu71DxSKOCZzWsEoyM4HsR2DYohZcv4fbOECZYP48bZdrj+0HdW2fZNjoMUb5PVK3gtncwXpvg4PgBthyq0L55O5mNG6etMvAjRoaKrFnfjus6U5MDA1EQt7HlOli2jZ3NThu0KVR8jo7F++oH06+tulc2fp2sL1SgokY75QdHGQ8sNqxpwykUCGoeYDfmAlwO5uvB+qoQonl071eEEC1Syj4p5d/Mc90GwxlJFCru+Nrj9O0bZ/P2bl77c5edVFzd/bN+bvvJAVZ1ZnnfWy89aRWpR4d3MVId46r1z5vT3FM7zl/DS14t8Goh1b3j/M83X8p5mzp5ZM8IH/q/9/H1H+9fkLBBx3a4+bw3oNF8Zc9t00aODYZF5kPA9bP8bTzBciuKeqemWYw4jo3SYGka5agz7sweLD8RWFt6u1nbkcFJRSitKY1PHretupdqmsB6FiGC9U6d9gOGBwqUix4tuRQ9q1obgqd5xLxUqNHfN0Fhcm45HMfeh6q+Ny3vplL2ObBnhCO7D8Qj9jOE80XVajziXs83ik6+f83raQ6fGxksMjaYb3gLoFlgzcOD1bSsH55YCHiRz+OjT/LYyBMMFfIE2md4skqp5qGCAO/wIWoHD3Jg/wAPPT3MY3tH6Rsq0jc0QzGAZD+HJxTVYg3PD4h8zaGRAgeOFhJvjcaxLLJpl1ApgjBirJxHa8WW9WuwLKhXa59riGCl7NO3b4xwhjCwMFKEaroHS2tNqeAxEhzhQOLJzKQclNZ4xRK1Q33HHfu6l8XO5cBNYYVTx/FYgjCi6oeUKlPeSqUVE6UahVKA76tGiKDSQBRNebCaBZYfNM4HdYLzrBbWmKxNkkvlcG0XL/KJfJ9Igdsep4XWxo6/bpvtbwwouC61sNaYy671kkvIbI4HSOve15HKGLpWY7A4yJGje9g3eXDaOkvFGuWiR6UUHz81TWDF+1H3lNnZFnQYoYKAMFLs7y9gYWFb8WDQdFunvQPiaSjGJ6uEkWKy5DEwXqac66SQnDqRF9vse8sXIjhfD9b/Av6+6f0AcXjgr81zvQbDGYlSiru+8SRHDk6wdUcvr3zjRTjuiccxfrZ3lC/cKWlrSfEHP/ecaeVrZ0JrzZ19P8TC4mVbXjJn286/dD2+H3HP9/Zy/517+PW3XcbjRyb5+t37+PY9+/jxz/q56cXn8KJL1+PMIzn0vO6dXL7mUh4Z3sX9Aw9z9YYrnvW6DIZT4BYp5Vdm+kII8ZalNma5CKOI/uIAbtcaeohzo2zHQiUd3Dp1D9axo8VBqHBtG9exaXEtfBfCWkhpYJhcLkNm0+ZG8riaIUTQrYcIniTnSIdhI++jnjsReT6lSpw3tnFrN5ZlEQQRxXwttj+JmK4mHdhaNaCz+8Rl5JttsSybfNnjodFBMnYLG3pbWdfVwsDhSZTSTBwcoG2VTWpkhPTa6WWzq08/hZVOk1qdFIhUikrZZ2y4RM/qVlpnum83CZ56J7UugryhYUrjRfI717Gua2OjM1oXWGEYUS76c9q/OmE0NUhWqwXkTtDDq3s9IhVypHKISMdRDEOTJUJrDO9oHGZWKluodVsbgvTYnD0ArSIipeOOvYqIVIhSUAsCHD8ik4knu657sACqfkSxWsJ2LFa39nLEyaMiTcpJ4UVzy3GqlHx8L6RS9uNS4E00n9d1m0uFGhPDRaJW1fCS1UNl84f68QYHWd/Zids55X2qCyynJQupVOzB0jq+TqIAOzsV/VFNRJIfJnM+WRZh0ja25RBFcREJnXj0tFbYjo3r2tNCBFXgx5rVthtFHOoMFkfpyw+yobObanIM17Ss5rHDfWRyPl41PuiZ7g7CfB5vsjBz4x0XIuhwtDQIxPNb7qscJVWr0MPUudviZilFilCFFCeHCaudqM4tjQGWMGnz+rlcF3GOYxOEcQXA+jVvZ7Nordl/cJiqk6UWhGzobWWy5B3vwWoSanWzJ4seE4UKrh+CjtDpLKqjmyC5xYVeQOQpdCaLUnragNNSMV+BtVtKeUf9jZTy20KIl85znQbDGYnWmru/s4cDe0bZsKWLV7zxwpOKq31H83z61sdJOTbvfeulrO05+YzyTyRx8s9bcxlrciepYnUMlz5/E2EQcf/dB7j1n+/jqmgX7zki0dUqERbFJ1v5Qdsq2i+9lItvvJ623mc3Wd+bdr6Wx0ef4rZ9d3DZ6ovJpebeSTAYng2ziauE9UtmyDKQ9wq0JqPYtcDHizzK4VTugePYcQgcUx2V1CwerHgSWJtQRxAp0q5NIWtTrfn4AwO4HZ24XXEHtC5cZvJgBSpgsDxMi5ulPd027Tf+4CC1voPkLrgQt6MD7ccd6mq5hiZDa1tmKvm+7sFq6mTVqvXR6dm97v7IMG5nF3Y63RCCGSdNoVKkIyk6UPMjKmUfpTSZrEvVtil7mvTodIGlowjl+7H3r56DpRSFiSq1asDRQ5Os29hJ+zEFifSxIYJAFCZCqlKh1FJiZLwfK50hVEmxg6RDPdRfoFL2AU1n98mfC0DDYwNQ8/wT9vD8KJj22lchlgWlWo0oCd3SWhP4IW0tKS7c1sPj+8emdX69WhAfH6VIIsBwLE2oI7TSBFFIpDQq0oDGRpONPPA9SpXYc2E5kHbSOK5NGERknAyloNwQKMeiVOwB7OjKNsTqTF6K5mItmlgQlYo+ighdhWrJY1QXG4UuDvWPY5eq5MYK9DYLrGoVLLDSGXQqHffww5DKyCj24QPkxPmN66GeW6bR+KEik3KIdEgUaVzLIYpCVBJiGAusKM4DSztUK0Fjn3UQoGwXy47zjJrbYs/wAP2TYyjLI+XYpJ00KdVKparx8akklfnautuoHE3jFWbJXzxGYEVNXRXtOBSCEmntTxNYCgV1j5rS4PmEKiSdFCepe+G00gSjI1QPD6NbV+Gm7LhYiIb6KImdzlD1Qw4M9ZHt2kxvWyub1rRRroVUvJBIqcZAb3NOW120+UFIJcjjBRHOhvXorlWgFGFyj/MnJvEnajgdHQR+70mjiBaD+YYIbhJCNC5hIUSKsygUw2Bo5v679/P0rkFWr2vj1W+++KSTiA6OV/jbr+4ijDS/cdPFcyqfrrXmOwfj/PlXbjv1sQzv6FHWPnwr544+QC20uTc8n2rPFlrOv4DM1m3kHM3WyYP0/PgbHP7g73PPR/6ag08eOOXtdGe7eNW2GygGJb594LRITTGcJQghLhBCfFsI8YwQYr8Q4gDwpydd8Axl0svzzMQ+DhX7ganSyNqa6pTYtoXSmkB5PDK8i5JfxnVsXNue1hFVWhNEKhZYKsSKFLZl4W9cQ7k3frQ3V1Sb8mBN3evqr8dq4xwp9vPMxD4O5KcXlghG4wI7tX3PoMOwkcNTKcadw1zbVI5PfeRZax0XEFAKrxb35mcL/4lKJWr79+MPDuCVq4zK/aA1NimqXkgmYyVtpRud9O7eVizbolTVRKUSUXkq90X5Pnm/QKGanxJNKqJWCRod32NzxmJD1JRAbPJg6UihvIBa6GF5PiV/alv1HCy/XgiiNPd8pOa8t9oslR/r+Cpeb1e2i0hpfOXT1pImVHEhh0NDRSq1EB1FtGTi4hSuE89jVe/kHto/Tt++MbRSBInd2VQcHhpFcfW8uKKhQisID+4j1beH9P6nGRsYoVINqCT76brxIEDKSoHW+Gpm+ydGyxQmqwwfLU55A0vV40L76h63ekhsEEaUSj5aKyygMBAyPFRgvDpKpENIvH+6WiFQIUEiQFWthp3Jxl7bZP4rK/SpTUw2vm+0eZPgb+R/qYgwUjjEHiyVKFGl439s28JNvMkNgeL7aMeN86CUQindCJushT62ZbOtbTs7urZzfs+5hJEmZaXRWlNJ7Gltz2ClUgShOq5IRbyRpL2SgY9iWIbkWlOujdYKlfRhGgJLa4gUvS3dtKZbsSq1aUK97oVTWhOMjhJM5CEK476QilAqzsECsNJpqkGNYm2YTHuFC7f1YFtWU/GdJu/vMR4srTWFWplaWKTs1QiIp59wbBufZJqIanw9RoUCteLxBXqWgvl6sL4BHBBCPEocGPlc4P3ztspgOMPY88QQj953mM6eFm68+VLSJ8mhypc8PvHln1GqBrz71efznJ1z80TJib0cKBzi0lUXsbFt7oPyKggY/+ZtjH/n26AU520/h+6dFg/szfJg17W88o0Xc8622Fs13tfPk9+5m9SuB1h9cDe1TzzOt9ecT+5Vr+PKK88lN8eRoJdueTE/HXiQu/vv5YUbrpz3/DMGwxz5I+Ly7L8J/AmwFXjbslq0iAyU4lLME7UJwvaNhPXS4NZUB8WyLJSGWlQhoyIKfpG2dCvplD1jKFXadajpiAwuARA5CqVcCEE3JfmrmXKwEoHlBTWsySK6o41aND1Xys7liMpllB8QjExNGVYp+9gdFi25qXtMXaAopenbO9qoShd/pgiDqNFBbdhVz+kKAob29jG6tw8rswq7vQOtoaPVpZyHSNe9K5DOOGQdRdWL86HC/CROa2tjfePVcRwnRa/aEbdVEBHaEa1tGcol77jqf/XEfLsli67WGgn9KlIor4bScVl0PJeSX6E+lVp9PelFNPPgAAAgAElEQVS0QxhEDaE1F5oFlpd09gsVH8e2aD3mvl3vsHdlOlHqCI5l0ZJxKVZ8BoYmcCPFWDUCpcim4+dZvfBSGGmaxw+jIGx4sDJuXL6fMMk3UooostC2heV7OLZNLuMymS8zVqxCVjGarzaiPVxiO73Ia5Rtb6ZYiM8ly7ZQkUL7AYWDh+ghT/acHZSCMu3ptsZ53dqSoljxqXkhlWoAjtU4X4tBiXI1Ty3MsjbJrQqrVeT4MwBc1HUuOgxxknwmnYrDQK3Ax/cr5Ow45K9OrelYeUFEO3FbREpju04snoMAsBtl2i3LahSjCYOIlJOUhrddsONCGIVakX3F/Wzv3IYf+biWS85tozObeI6iCik7TQ3wvbi4g5tNk8qkCGugfA/Hnd4nqYsWKxFVea+QFMaICNxkUCCZH081BJbCUoq2dBv4JYrVGkGTEK6HCGqlG5UGdRRN82A1crAyGYIowFEhnqpQDasMV0ZJObE30A8VLUnUbT2kUtWq6HQbKtKEUYSlVByO6bhx8ZQgIoji+a+a8y4rR47SubrjuHNpsZnvRMNfFkLsAm5IPvqAlFLOZVkhRAtwP/BdKeX7hRBZ4ONAP3Au8FEp5Z752GcwLAUjg0V+dIcknXF49ZsvoSV34lneq17IJ7+6i9F8jTdcu50XX7Zhztuqe69edQreq1rfQQb/+TP4/Udwe3tZ8/Z30HrZc9hiWbQ/McQPb3+a27+yixfesIOLL99Iz9aNXPvrP08Y3sxT3/4hwffvYOfwU/hffIZ///al6Be8hBddvpnzNnedsOJWynZ5y7mv5x93fY6v7LmV9z731+c9caHBMAf6pJQPCSGKUso+oE8I8YblNmoxmKwVKAdlbNtBqYix2kQjOZ4mD5aqJ4bruFNd916kXYeKFxJGCtexGx1E17FQKiKFhbIdlK2InBSETJtrJmpUEWzyYCUhgvbgKPbwOGp1N2rLMSHCTd4G72jseYuUplYN6WlJYTflgNY9WGGgpomYVNoh8CPGDx0inDzKukuvbHxXF4E6DPGrPqBQfsToEY8oD7lzLKoFC93kwbK0wrHieXqUUugmT51fK8eRYVHQKDpQq0aQgZZcilo1OL4cdvI7O5MFLMJ8ntrBA0Sd6+JJa3VEGIVYnk8QhSgd4FqphofITsTMqVRBC1UEloVjOXhJkv/TfRMordm5oZOu9kxDJHmRj1aaznR7LABsi5ZMUkkuqKHdDF4UH6tcpj53Wl1gTa/C6NVCgiT0MePqOHS07uhTijCy0YCViJHWFpfxMETpON/v0FCJDUkOm6vjbc1U6MKrhQR+RFQsod12ItshLBUJQ40/MkK+M8ORcJRzu3c2SrS3ZWOBVSx4hGGE02LR2mGTCm2qfhXHsvCVh5V4eSrFSWph3MkPElFcUFUmSgOkUolIDXz8Wgk6MtO8Q80Cqy7w4mOrsbEJQoWyQiCN1uB7AXsOT5AveFQma3T05Mg4LmhN2Z8KCyzXYg9n3i8QqQjXykwraBKEipSVpqrBCwJcK4vr2KSyKbzx2CNGbmquOoCqXyFSIRDnx+X9Ijg2hFMCSzk2WFMeLK3jEEELC9d2sarFxnGKItXwnquGwIrDax3XhkihsRv5m1Y6ja8C7CAi0AFPjD4NQJcdt/G0nDSlUaUS/tAgrr2RKOoi1BGW0mg02rJpybhUvZCCH0IqRaSCJN9LU52YJQ9tkZmvBwsp5VPAU/X3QojfkVL+/QkWqfMR4NGm9+8DDkkpPyaEuAT4LHDi+tMGwzJTKfvc8bXHiULFK994Cd29J46VD8KIT/3XbvqGirz4svW8/pptc97W3skDPDO5nwt7xJzKn2utyf/oBwz/x5cgiui87npWv/Vm7KZSy+ddtJa2jgx3fv1xfnLXXg7tG+f61whybRlc1+WS178c/dobGPz+D5m47eu8aPQRJr6zh688fBWVTTt50WUbuObidbMW5rh41QVcsuoCdo8+xX0DD5mCF4alYJsQohVoFULcBIyzQp8lI+UxALZ3bGFf/iCj1XFaoni0vS6qlFbsLeynqmpklQJcvLCe4D812bDWmv1H8wC0tdqMVsBW4LppIiK066JrOg5f0lPrhulFLuqv7YkCWJBWVqN8eJ16OFdcCrpeShuIItJJJ1+H8STG9VVHxyT7d3S1MDZc4sj+PdhqAutgG2s3XBvb5U8JrMDz47bwQ8KKxlIW1YqPbbWgtG5MWGrrCNuOk++VrkwL/fKSDi4agiD+vB4Ols2lcAv2ceGKU/vokLvgAqpPP40/NERgt6E9j0CF2JaFKiqiSFGNSjiWS6vTThjpacUNgiAilRwrpRUW0/PT6kSRwsbGtiw8L0jCKiPQsDc5tjs2dLK6qwXP9ykc0ZQyAY5OYTkhGdchZVvo0MNu6SBSCtv3GoUp6uIsiBSppqIBNS/CD+P+ua0DlI7QoQYrztOLrLgEPlEItk1bSwqqmpRr0dOZxQ8jJsseDuAkAuvYUu1RpBgZLKA8D39oEDU6SHr7jkYlxjCC8qH9sKEDL6rh+Q4WVmNy42Khhh8orJQm1+li1yzKNZ8cDmFYaoTMlWoFCNog5eInRSTG/EmqJc0GJx4MtculpKBIZmoyaa2p+ckx1boReltLxIkTaXJ792J1p6B9C6FSjOdrtNYC7JQm708wPNFKb66VYjVgcNKjO2OTBvxkwKBQGIUgxLXbCJvC5oJQ4SYhgl4Q4No5HNfGSQRh5PnTOvtKK54efwa3cITzN26mGJQIo4BsOkvoBfjJNafQ2KnUcSGCNhauncKq+I1QzrA5pC+pkKg0WMlkyjqK0M0DJ6kUvo6ww4Dm+hMpxwGiadNHaA068TAq3yeKFJGKPVgAynbIpp1GPl1kOygFbltcqdCvVYjCgMOVAVZle2lLTxebi8W8crCEEK8VQtwrhNh7KrHuQoh3AvcAzckdNwI/BZBS7gYuE0IsvU/PYJgjSinuuvUJykWPq67bztYdvSf8faQUn77tCZ48OMFzdq7ina8Uc/boaK351v47AXj19htO8uv4JjT0uc8y/G9fxGnJsfF9f8Dad/7iNHFVZ8PmLm7+5SvYvL2bQ/vH+fJnH+KZJ4emyrjaNutffgPiY39F18tfSVdU4ecGvs8Ln76T73xvN+//h3v54p2SfHnmXIGbz7uJrJPhP5/5JhO1mUvGGgwLyG3EguqvgY8C/wl8clktWiTytSKO7dKV6aTFzeJF3pQQSUIEAxVSDitUozJhki9Rr9JWz3fwgoi9/QW8IGLT6jZac4kXSoObSoOliSyFdhyU7zF4aIK+PcOzzIOVeLOCkJTtYmdbGp6uBknHyO2eKqKj3bgz6KDwhwYpPvwQpUceIUgmEK0LoWxLirUbOmhty6CDEL8Sd4KHDz1D0BQaWP8//kwTeiE6srFsKEzUcGwLpSCKYk+BFUXxPFiui3ZcgmqtUcTDr07lSPlevL3RCY/xoke2JRXP+aP1dBGoIpRSjJU8cFJkNm8BoDYyiqrV8InwnRxBKUdtMmQsGGLY78dXNcJITStNfWj0KAcLh4hUxK6RJ3j0mT307R077nxQKsJKPFi+HzExXsU9sIfcYB9rk0IZ44UaWmuqnoejHaoVn5SVwbEtcm6OVS0u7TmX7p52sG0sIJN4NNwkZCwM1bQS3LVqSKQg5UIUJLkvUaxZNIpIaXQYxeLDcSlVYVtvK11tabo7WnBtm4mSH8+VpZPqltH0HKyh/gLVSkAuY5F24wKN1YN96CDAaWsjdLN4E/GkvKGKqHph3OlOxfMxjY9X8MMIK63JpBwsxwKtsZTGJYjDGbWmElSwavE+eH7swQqSa6lsR2DZ2JVioxhJ3YPlhwqlNe3JRN71ub5qiTBwPR+tQIVRnGMWWWilWNfTyroNUInKDE6OowM/8XQ51DWGV/emPrOf7NEhXCvVONe0UgTlMrZl4+ASBAGOY8cTjKfjaJp6yGw1rFHwi9RqHoWyhx9G1CKvUZq9Kxdfj55Tn+tNg5uaVuTCUgosi1RrK0QKP2mj8BiPU92DZelEYCn1/7P35lGWpnWd5+dZ3uVucSMil8jKyqzKrKyqqIVikUWQRWyQbgUFN9RB7G5FPer0dI/j9HicsVtnjjPTM55xPKOOTPegzLFVlFKUBkGgQYq1mqWQ2i615Z4ZGdvd3+XZ5o/njcgsRKo0Cwrp+J6T58S5eZfnvve+7/19n+/v9/3ivih7ziiQxj7O4U+q+L260qr9yrbgYB3OemxDsKKCFQnWjsLqpMYHSDodkjzFOpjPRmzMN1kv/vp585XC1Zpc/Arwr4kBjjt5I2/7cg9YXV29Dbh1MBj88Rf910HgyoCFcXPbHvbwNYlPf+w058+MOH7zfp7zwuu+7H19CLzlXQ/w2Yc2uPX6JX7ydbf/razQ79t8kIeGj3L7vlu4oX/sy963Xr/Emf/1lxl/7CNkx45z3S/8Ip1n3PFlH9PpZbz69c/kxa+8EVNb3v9nD3DnWz/Nmce2Llutttsc/P4f5Ni/+iXyG06wOjnJT51/Jy+tHuFDnznDz73547zzYyf/Wo7Lcr7E99z0HZSu5N8/+PYnlQC/hz1cBS4MBoP3DAaDBweDwS2DweDgYDD4vad7UU81ahdNErpJe7eo9uFy9o9vWgSdt3hCJDk7Dlw+FpQ7CtbptSmjWcVSN+PIge6u4qQaBUsIgQ0WkaSE2rB934OMBw/v3m9rbc7Jhzd23c5kM9eUSI0kthZded6HXYK1fPkN5ZEAzMcbPHbfJ3lsdpaJmRJmsSzYKSjzVsLCYos0U7j5DOcU5CnBWs6filMFvqrYHHuKucE2ipstHAGi0+LcNLvgUSlSSuCNQcloVx2SlFNnNnn4TCw86zI6MnoP43H8ezytmRZ1PPY7hd2Vu+7eM5rWXBiWrG3PUf0+MsuoN7djgGuWYmVCpjLcLBawQkAdaswV7VYAl8ZbbBRbVC66tm2NR4yLGc55pvVst03L+mhKIoXEu8DZ05uUk4qWLTicBRIpGY4rKlvjbUBLTW0cbdVDKcVi3qeXQL+b0Flog2yKVr/TOnq5RfBKgjUvYrBtogWmLhFK4G2Axooc4qySEIJRpdieBqazGiEgyzT7F3NsCMwKg/TxO7k2GrPVzFuFEJjPatJMc3BZoyQEEYNwhSA6xQVJbQ34wLyusN7TyjSJkpSTiqq0qFaC0gIlxE6+Lt7DNf2MfYsJIxkNLnSjxtR1iQ8e39T/ha9wy7EstbY5nxoFa94Yr3TbaTSGab4L1Y6CFSRSxFZYT8A2rbTtFKyqSBLBcDbFlXVUMKXCNUqlMWV8LeOigiWS3Vbg+sIF3OB+MDUShbN+9/so0wTjDY+uP0rtak6OTnPfuYe493PnWb9UMCssG+U22+WIRCX08qhp1PqKjV+tCD4aZcQZrHhz0olK+U4b5eNb+nx03mwIllTRaTKIx89KVhKSILnyVqV2XAK/yORi57rmHM7FNlQZok4vhCRL1O6GkdMZPkDa65C04t9lE9hstjapL13iq4GrbRG8r0mw38Xq6uovP8FjvgsoV1dXfw54CZCurq7+C+ASO1OeEQvNbXvYw9ccLpwZ8umPnqTTkjwnP8fG2++LF/s0JT1wkOTQIbLD18adNed5y7sf4BP3rXHi8AL/7HvuIHkCh8Er4YPnTx/5cwSC1574ti9738lnPs3ab/87fFGw8JKXcfANP4RMvvxM2A6EEDzzeUe4/sQ+7r7rMR6+/xL/4W1/xTVH+tzxvGs5fvN+pJRkR49y9Of+e0Z3fZiNO/+QF576CN9w4DH+tP9c/uTDjs8M1vnx77yNa/ZdluFfdM3z+eylz3P/1oC7zn2clx35pif9/vewh78l/u3q6uqvA787GAy2n+7FfKUwNdF+uZd2gUZFCmHX5AJ2FKxILBDstpbFHfSaXishUZJ5ZUiU5IbDscCyPhaL0gdUHgtGFwzoFF8W2GbeZof0FBMDQeBdQGmBnld4QMsEG5p5juAvq1s+DqKrhfh6QghC2gK22Xz08yAr/A1HuXRxnd5EEDqHsdYzM3NsWcC85kB7H5kvMRaq5X1k5y9Qzaa0l2A2rZgUgcm8wjsbbbpLB7kkb2usd3jjkanAOeIQflOsC6UpnME6RzmcEa5bpq5icVaUmmq9orecc+U2kt6ZTbKedKdb2nlmlYFUsj2pWOxmzFp9XCiQWcoszygmM3pCoisgg0RJjK+pjWVazSnrOho2VI4kiF3lMTjYKDap60MMxg/Rz/rcuHgc72OLYLef4VJwl2pqI5gVgofvOUmRLTCeGR6WlpBEsmmMo6N6nFhaoZtIqC0ueLoLHVQyouV1JBHJlS2C4XEEixDQiaLXgQvrQy45xULWAn25VVU6j3WBWdN/VpUGctBasbLU5uzahPG0Ivi4rlMbY8T5cyz5muuec4IQQjSPMnOUFKTXXEPhBNvjOStJzqzc3P1uzap4QNu5RisopzWulaJamp0xqh1zh+BB4xmaLSYtxcEq4bBY4BSByhQkwe62ts1Mgdh3kHw2wpQlhfF0ncVYz8kLcc6n303ZGpe7LoI77bjtRFEjGU1LNlWBEX2EgFTG581yxXxWMZ3Oo9mMlPhmkK2ua2g3s0vONQpW06ZblTjnEXUFiYhtok19odKE0paEmWFtvsHMzjGlp5I1wcUZynE9wfuU/Z2DpEuSsJ5DdtkQJTQHLNi4KSN9AAm61UFJhWk2Hx7XItioT8Z51i+NWZjPo0J4BcEyzmCURAnNtel+6swxriYgQkNQr7DZj9aB8f1au9simApHkAmJjopdsrMBsO8AWZmhWznQqPbzOb4L7tx5Nt2MM+uOO248QOsJDMmuBlf7zKdXV1d/G/gYsDMR+kNERetLYjAY7BKwxtiiOxgM/s/m7xcBdzUzWJ8bDAZPz2TaHvbwZTB+7AzvffuA4CW3PPRuRp//G/YBhCA9foLPihW+YPZz4thR/sXrn7XryPRkcffFz3B+dpEXHnre3+gc6MuC9TvfzuiDH0CkKSv/9E30X/ySv+1bA6C/1OJbv/M2nv2Co9x912OcfmSLC2dHdHoZtz/7GlbvOER3IWfxm19O99nPYf2P/oDJJz7O962fY+3oM/ijc7fwS7894/tfcRMvf/bh2H4jBG+49Xv5n+/+Ve586J0c61/Hdb0jf6f17WEPT4D/A7gH+B9XV1dT4A8Hg8EHnuY1PeXYLia4JERHLy636e3aSzdbzdbbWAwLEF7QSTrMzIzKGfpZznNuPsBoWjctNo2bmXfNrIVEJTlCmGi5nSVX+lNgTI2z0YlPyljcKS1RsxJPVLB2ynAXolU1NAqWFMgkwSy08d7hm+LL40iXlzhx/Lk8OPogs+mE3NTURrE2X6edSWbjbRbzPu0wx2tJ6TMywDbte1UTRFzbwLz0BB2wpSfJowW8n9d45whe4BEopQm2jJbeSjKpmuK7rigqiyniLr3zAoKhMln0TRZxJ10nO0GrDu8D505tk4Yqmh4IyWRu+MjDDzIst3nWvkOkaYfZxdOUVuJCYJkl0myBIWewtuaR8WOMxzOEhFaaYUoLJLvBst4FPIZ5Hdv9KldHpcUHpJR0OhlhyVNuGKyHohbo+ZSlRDIVKdvjGSwFMqkwxseCWUoSqRHGRCOFPGf1+mXsWr1bMCdXEMkdgtXpZqg0YKXj3LZhXE7w3UVsLQlZbBGMi/aMZiH6uHOFiqmjQYFWktqHqAwlChMM5cV1SukYPpYDbZJE4mc1SoFUirL20GlRWUdVmdiSFQKzqkICeSrZmm9T+Tmly1FpukuwdkxEctlC2BEeT2gtsk+3SKcVLCbUpornQqM2ze2cjlymf8ftXLi4zXSyRsc6Tq9NqGxsr11op6SJoqjjeVc1LYQ9rRkB1ge2ZyUmX0QAIhict7Ramumk5OSZTaajQL1oCWFHwTJop6Mbo3Fo9OXMMxdt4EVzzuJjsDiASjR1cGTGcmm+DiHgTaCUBgIk5Cy1l1DtA6y0D5J0NS5c/7jrjNCKQHQS9CGgnEckCpmlaKkoyse3CAbncTa+flU7alFwz4XP066nLIuoWJ8an2Fm5nitSYTmgO7hOznjaoIPnkQnj1ewQtj9vuy0CDrvSaRHp5r9/Tj6sDOnWNcBkSZIJdDt+H+z0ZTHJnOOjWfkuk0oZhTV0tc0wXo98BfAldvRTyoHa3V19XuAlxEVrB8Efg34ldXV1f8BuBH40atc2x728JTCTadcevsf8rGHJUX3GCeKBzn2kmfTOnEjenkZkST4ssRcukR98QLjwYDy0Ue4nYe5HUjcEcr3nyd53vNJDz05i/XSlrzz0feSSM1rbvjS+xaz++5l7f/7bezmJuk1h7nmJ36S7MgTm2A8EQ4c6vHq73sm25sz7v30OQb3rnH3XSe5+66THDm2xOodhzh+836uedNP0H/Jy1h/2++xcuZefjr5Ap9Yega//+c1py5O+KFX3YxWksWszz++7Qf4zc+9hf/387/Lz73gn9PSewHEe3hqMRgM3tz8+cnV1dVjwB+trq4uDwaDE0/jsp5yDM6toVtwyw3xHNpRh6xzRKFqxzkwupgJGW/pZwsNwaqAHlIIlnqPN6lxwUIT9JkkKUJYXLBYmXB+vEZpe+Q6xxmLrQOiIXc7ipasm7kTqTENw4qW7k112yhYAGf2S3yAlW0FIRCCQ6+s0NI5aafPfO0sSVUxLWNL1s4Yh6kKWjpAqrCVjt1adUWwlqq6MvBVIHXAVp5MSNrtlOm8xlqD1JIgFVIJgrVx2F4pxgZagKgrJtMSayu0VIQgcN5Q25hjpEUMsGU+I1iHtR5TW8rCMJxE1StJEkoCo2qMxTFJFD2lqKwjCI23AV9ZEpGSaMWsLhmXNSHIqKglYZfElq7Eu3i8Q/DMdtqzvNltARVItIr2+lLFz0F2uyz2PC055mKRMtEZ3R5ooWP2Uq7QWqKlBhMVLJmmqDTBCrFr5LA7g+X8rglHnZRM3Xmqeh9aaYIvESIQnAQXPwMAGTyzKpAspKCg9jukrXEoTFTMJbM+OjmGQFWU0EkYn1mDa65DJ4pQ1ygJ6ATvS2Qi8EJQGkObOOM0q2t6QMWMM8PTWF2wVpccyo+idFxPK8vZpqKj2tRlbMbrt1YgEwhfoEtDbarotKcSEALjDTM3obd0hPW5Z7p5kf3GxFm8RHPt/k7zngQ+eCrjqJ1FCkk3kwgEdbdD1T/EbMOghMDYqEQv9dqsXyrZ2JwQTMkwjGiJjBA89dwzm0kYZRSVpx8kzsVMuGJexXZB53bEml2C5YLDyUAwdtfEw1uoZA0+oEm5pnMN+cJlJ2Ml4xzXznOEK7KwQvAIHxBKIdIMJTTUNcZbrHW4+Rx74Tzq8KEYUm0Dc7bJfZ/K1oTm5F2fN7NyWtNGIYxBic7umvMkZzSvd8OGvQ+76w/OYY3DeovC02qlLDe5eWmzAVDWLhqmKEnaiuHfk+EM3/fUVY2TIIr544xCvhK4WoL1Pw0Gg9+68obV1dVXP5kHDgaDO4E7v+jmn77K9exhD18RzB98gAv/9s2cd4tcOvRyDiwqXvGzP4b6Eq1+4aab+chfXeD3Tq0gjz+X1+yfcUd1juL+e9l8xx+z+Y4/Jr32CL3nv4DeE5CtP33kPQyrEd927BUs5ZfT5UMIVCcfY/Nd72R2z2dBSpZf/R0sv+Y7nnRL4JPF0r4OL33VzXzjN9/Aww9eYvD5i5w9uc3Zk9ukmeLELQe55ZmHue4XfonRRz7M5p/cyYsufYY7Rg/x/tmz+ZXNGT/93XfQa6fcvu8WXnX9t/AXpz7IW+9/Gz9+xw8/bkB+D3u4Wqyurv4r4G7gTcA3A+8gutJ+XaGXLBCnF5rdarEzH2MvZ0cFj7E12RdO0S2X6PSXdlsKv9il7UpEBcshUegkR/g5JhhOlWOsqZmbGbnOo2JTC3a8enZmkFSzm52ohGqXYF0hfQUPUlHaatd4Y1LXODxSBpKFeK3r9BaZc4a6mFKlORhL++IYcWmOvf0wAlBtgQ8KpzSuqgnWUNuAFKBEzM9xISBcnLtpa80UcM4iQhp35ZUkFAaPZVJX1CgWE4UzFaPRBOc97aQVB+q9p6oDECj9lM+e+RTHztXYsEzVlthHzzOpe4ynBQvA4YM9Hi49prHIH81n5O0WPjiE0FgfolFCgG7WYjgdMpxJuraFSgMhicfN1YHCxha6VCZUrmJWF5BE+3jrbTysQpA0BEtRI4BkYYFDLzjG/J7PkLqaYS1pmTiDVRpPCBKt4hyfMBbjHOtbFf2GBF8mWJdnsEKI6t3m/CKhLvCq5uBybIlPpEa7lOAuf+4yeLyHtJ3itKDyPs5PNc+pVbRyd9aDVwQLri6hrSkrhx6PSZJ9+LpGJSrmYPmAkBInwAbPrEgwZwXTdkm/LQjS4C0st7tsyxlbdp1DSiOlItfxdzIRKSkpPmlRJYs4HWBekM5qKlM2CpZkIe2xHuZcqs9xsVAs9vaxHWBja4ZrOw4tt3fPu22zwZnqPLfaRSprkEg6iWBlqY051GfoFaOLFzkkFUU9gxSu6R/kYbndGGt4QFCEEo/CFIEsz6hFILiEelZiey1OP7rF8FzJ9lTSNRYa8igbolH4gqAU0osY5q0kzgYqZaLSJSTGB/Irzv1QC7ZPGzr7FfmCIjQEOBiDF9EURGiNTKOCJYylMnU0izFxrs7N5wQdFT8n6vj9EQKPxHmHa3ZdvFKRpFVljHewkdy384TRvGZeWnrtNJql+MsEqzYOvEMpT5Byt11yR2Gta0uLHYKVgpTMpwWim2Cdi/Nb5fzxba5fAVxtDtZvra6u3ggcAz4IHB4MBu96Kha2hz18rWD7A+9j/Q9+D6NyHjrxMpSQvPL1z/2S5Orcxow7P/QI9zy8QStTvPF138ALb48Bu24+Z/a5e5h86m7m910mW8nKIdq33U7nttvIrj+GXuJOIssAACAASURBVFpGCMEjw5Pcde7jHGof5B8ee0XcEdpYZ3bPZxl95C7qc2cByE/cyME3vJH8uuv/2nqeSqSZ5rZnHea2Zx1muDVn8PmLDO5d44HPXeCBz13gyLElXvCyb+DYL7+ArXe9E97/F7xu7S4uDu/jrWdfwPf++HdwaLnDa46/ipPjM3x+437e/tCf8X03vXYvH2sPTyX+NbFt/S3APx4MBrMnuP/fSxzuHaJysQ2nlWnEZIaYTrBu4bK1efDYukLUFT2nWWkdIGlUpI1ik8pVnOgfa+aPRJMbE1Uv4T1SStIkRdSCqRtTJKD85aBWZwy+EtDs6TgXuLg1R5SCrNMjERrZzE5c6SQYvEcozczEj2ZrUnF2bciRbg9x/DoSGdfR7i1H44dyRpEHzNlLqMWUoAvMaIgiIBOFkIogNa6uKKdxeH9xIdu1t/ZOggukwzXapytk3qU6/SjJgUOw/yBKCYIxDOttzllJR+2n30kpjWE8GqIBneWIUGOC3zUwsKHE1YYqVHhrqYcjxKRg48wGordAv5ux1G9xoA3DUcpwWjMp5ywm0XhESYlzDmEdwXqW2h1KW7IxLJnPBGkHgrbNsQ6UNipYiYoEq6jKXVGwchWEWDQnTZirrUs6rcCBI4voLEXmOXkYYpzC1ALVVjhnollc4zynPMxKQTox6NSTEovr6tw50pUVpBDRhMMFtqshITPRyU5ZZqJASkGPNl4IgostgkJGswMEpHmKzxSjuUMWNZw+T7jtWpQSIAXWeoJTUDqCd4QkRVhDMDU6UdR1jc4ad7ymJdIGCAKMSZBBMJ8a8kVF5Qq8CxzqHiDJJRemQ4JaIJEp/WyBNBmSkrLSWsF2c8ZphssUFJDOKkrlqFxFUJJru9cwGgqGnMZ6w7WLLbaVYjSdgffsW4gqsA+ekd3GB8/6aI3SVCQiQ+LJUk3WTpiMq6jmSMe8mkKWsa/XJ9cpxpSkHYfM+xhfYWc53kIiFIsLGeXcUY5Kyl5NIkQ8RoArLxMs0VT2czsnaEUv6TG2liATvA3UweyqndY9nmS4KIpiikC+ACFRCKCYlsxsjZgDBxUiTdFS46qCu79wjs48Y5lImk1ZUbUNczNHJZ6cFI/HhuhqOjofJWCre2gdcFubBAX6gUdw7XXC8u0UU5hXDcEKAXxAyejGXJZ1tH+XEKTYDQvXSqKkZDKrEVLGFsFEIhNNOaqQTuJDwDiLsLO/Fv3wVOOqCNbq6uo/AX4BOAl8GPjV1dXVdwwGg9+9+qXtYQ9PL0IIbLz9bWy/9z2ohQUee94bqE4XvPBbjrG4/Pi8qwubM/7soye5+/41AnDz0UXe9Jpbd3uDIbrwLbzom1h40TddJluf/k/MH3iA0Qc/wOiDcUxEZDnJygqn2eLVvubGbo+Lf/m/UV+8iJs0Y4lK0X3u8+i/7OW0b7v9q05QFpfbfOM338DzX3qcc6e2+dzdZzjzWFS1rr9xHy9+5Xdw7GUvZ+NP/4SVuz/Bqx5+D1/4xU8z/b7Xc+Ilz+PHnvFGfvUz/zd/efZjLGWLfOv1L/+qrn8PX9f4+cFg8G+e7kV8pdFKNVVhKSpLK9OEs+dR40uYhRY7s+QheJw3eA8JcU7KG0Ev7TE1U4blkKpbYe97ANlqkR87zvz+ezHL0QdbCYnUKbJpPVJpG+fFLlkyxnF+rUZ3Cw4utTDGcvLiiHQEq7fegBuPEMExmhseqYY887pOnHNqlIepmeFDYDipwAnMvmWSdlS+ALrtPkJLytmMNVeTlp7JzNDtgxmPY9Geqqje6QTvLKdPb7A9rVg+0IXGOcwHHZUcU7AgcjLrGBYT0kmCWTrAhe0519eG2sf2ISs8SZrQKiyb4xEdAkl3Ack2BMe0Lgh4gjCE2lG7CrzDGhvzn4BWXbC/n4OULC0KFl3GcFJT2ZrCxowqpMbhkM7BdEp2bp2lgy2qymFDivUFQTc5YXWIbowO0ub4zOtyV30obRVtzhG7BMuUBXkSWNgXVUvV7pDJbbytqcsE1VF4HwnSjjqlApR2RwFtZoDWL+FmM4RWaKWwNqpXk3rKklCUIVALw0zMyZWmI9tMRQAXHXSlkvGzApJWCpkkTGv05hboCrO+jpZJzM2yHm8lorCxrTTPYWoI1qIVVM6RtOPvrwsBJSMxM96TACKI6BapoXQVwUXCecf1R8m3HIKAEoqD7f3MF+PvvK9rhFIorXBIVKtNMhojRFQNkZJcZSyl+xCcIYjAQjvl0P4el6ZjWgrazWzZqBoTcMiqZvTZT6C6PVrLNyCcQyJIswTra4IQMdfX1CSyS5Ym9JI2cxyiFdBL4Iee0pbgM5SQHOz12dqeMq8t2xtzegc6dDPPOsQYgnyHYMULQOlKhFJ0dE4rWcSkLba4EN0WQzS9sV/EMZoMclzdEC8psc5z8fyUuTD4qaYwgo6UZFmLantIvVBRjQP72o7CzhgWm5SmwAVBT+QoKyMBDp7ZrCS4wEK2gBqn0E8JtsadvwhK4uua6blNCrpMpjUrS+3dFsGdMmd+4QKtzS3UYsBJ8TjHzesOdnng4Q3OjeYcuW4xqtNKUxmHqqroKOo9whlsWQHdJ7zW/l1xtS2CLwVuAn5jMBjUwPeurq7+BrBHsPbw9xohBNZ//98z/I/vJz10Df57fpxH33uKA4d6POv5l80ZLm7NeedHH+MT968RAly30uW1LznOs2/c/2VJz5VkK1hL8egjFIMHqc6do75wjvLcaa5tdmUCD1MIgd63j+5Nz6V9y610n/8CdO/pj4mTUnD0+DJHjy9z/vSQT374MU49vMnZk9u84KXHeOabfpx9r34ND7719zj06P34t/4GD37wBMd+8Af4qWf9CL/y6d/gHY+8m0DgW697+Z6StYerxn8O5AqglWmGhaVo8nakceADbjJHLcWNHRc8zsUZrAyPlIKqtKzuu5Fz0wtcmF6MeUNNTo6bzfC1wY3nkHgUKUIp9uf7mE22Ob7/Vh47ZPHr0Tq9nNWIScE0zOi2Ezq1RzSuads1LAjYGpZc8gbSOdO5oZ0prHVkSjE1MyZzS0BgXE3lLAmQyFistnSOaOeMLkyw7TZtqbFphnEz7GQcw04zjXQyOhz6gvFG3ISS7Ry/Ed+z9zF0VglPoiQrImeEYFJuk85qTBXoFEO8jhbT1lmSfpd2scXGbEblParTR8sJFTVTO6P2Eo8mGE/tSmRw2Nrt7qYLorO0kIrCztBa0hE95n7G1EbnNSUkDoGwFjncInNzRGZZbi+zKaJRgmvmqHY6Or2/fHyMseRNGVe6MhIsKUkbguWqEi1SkjSNLYStjCwViKIi+DS2c/lojLAzX5UgMS6aCJwan+dQNWJxp1WwrtGqw7wy3P/YhKq2dNNFSi8pQsVi0qabtpkKmBkJTQ6WlILSTDBCk+QZItME75BJNECqz51F7juGVBLnPbYUUcESgazbwpQF0hlE006q8gwMTYtgtMl3wpOKndcEIT2lq0hEAgEWOz3EVjyGujGtkEpSV5ZgakSa7M77iCShJVKw0UREJSlKxhkxKSShcffbv9xjvuHp7bv8u7VZbiOlRBsbjSjKil7aI7gxCInSGqnKmKclLdZWZFKTpIpDSz3Onqtwus2CXmKmCua2RPgE3TQEd7JAScAZT5IolI75bdY4hGvWsWNBLzwySQDBil5iKBPgQgwM9iCRj5tDCiHEY09UTL0LVM4xODklXcpID0THz3nzXcxbPeyFU5R2ThZSynrKpJ4ivCJTOYkIZCJDGo8QARMCk8Z6P8sSZiHg+8tgL8YWwiPX4M9toEMMpt7eLuDoYjS5CGE3kLjeHiKIboNWRQXLB8/56UWcdrRbjvkQKusRQuCVwnnQZYUPYBKNcg63vQVHv3x+6dXgagnWxcFg4FdXV6+87Surue1hD18FbL7jjyO5uvYIB//Zf8Odf/ggUgq+5dtXkVKytj3nnR89ycfvu0gIcPRgJFbPuenLE6svBaE17ZtXad8cz6M/fug/8IHTf8ktrev4sWe8kTRrIbRGqCdv7f504PB1i7zuDc/mkQfXuet9D/HxDz7Kww9c4h+85lae9fP/ks/ddQ8X3v52bjj9CGf+zS/Tvv0Z/OS3vorfGr2PP33kz5nUU77rxlfvzWTtYQ9PAnna7FJXluAcIsR5IzErEPviDn8IHmOjhbrGIWnssWG3Da+uy902sJ1AUWdrlE5BCIRSXJsfoRr3UEIjOn38sMDXnnpek43GZKVnPc1YXGxB8xzrc4crDONphep38MEzKQxb58dUQ8+1i4HCllSFJKdF6WfMbUWXSCCc93zhzIhxnVKZOZk1LHc6mHZOMbtEUVZcmhRsX9PloJYIlWDNlGIUVSvRygneo6TCiQSMRclIQPLSkKmUaT1nOtmkN1pn2rGInsS72MaU9pfoTSeI4Tpz7ZFpm7ZuoaVma964zgWDr2PoaYrB1hprAiHNEDJEdUBJClsggQXdY+ymzF2FVlFpcqFGWYerLTKkyOGEfVPFeDswb3mMN6hU4CofZ1e8RDc9YP6K9q7SVhACEolWkVS4ukQlHbaqDS4OLyCKGbkowDi87zMrLJVxpD7sKljCaQKOuZ0zNRXrszHSd+m1FK6qGNmSqakItWJaGloqQaJj/lmS0NGaFI8gQXgBBJy0lGbKdhCkuYZUsdjxCOeRiDhXNRkhk2h4UpUeKo8QFtXKsFojXbkbmJtkaUOw2A2pDTpmgBHH47BUeO9QPmp8i+1eDBoLIc79QMw/sw5nLGmni5SC2kSTjVznpNUYA6RJ1pxPsa3OB4+1jrXtmqkb48o1ruEw43rCsBzSTVpUZNHW3Dg6aZsw2UI2xDdRgrkUCOkJ1pHIBCEER1cW2BxopkpzIDtAqTcIvkCEEEmhJM4RtgUz7+kt5kxPOrSCunZ4G68JonG19DhEkhB8IFQloSHmvrE9F0JQX3ZDp64sksv1i6sCY2coaxDW0l2C+pSgqCLhSVsdrPHIC2dJdAfv4gxWL+3RTxJyXSGFQ9QOKeOc3HRSgoBON2XjYo3Mc9LOCsF7ZK/Ar21BZUlyyWQU+xV9k4O1k11mvSekCfbIMt7kOBft5i9MLjJdd8xGAclifJ+AUwkhQFKU+BCY9RdZqLZxl9YI/ivnfXS1BOvA6urqfwEsrq6uPp9oz778BI/Zwx6+prH9vvey9a53khxc4cjP/Ld87BNrTMcVz33x9YRM8ZZ3PcDH7r2ID4FrD3R47YuP8w2rB+LF/SoQQuA9Jz/AB858mJXOCj/y3B8lT9pP/MCvIQghuPHWgxw5tsRHP/AwX7h3jTt/59O89FU38cyXPIveiRv4g9/5C55/4VNcf9+9cN+9/Ogtq7znxg7/8cxdXJqv88bbvp9u0nniF9vDHv4zRpYqpBCUtSUYE3fWA4iyQjT7nC74xkRCkCiBwFM1gaiXVZAiEizv8Y3NuTUGlTbDPUrt7hx7H9gemRj0GRymcFEZUjC3nrJ2CBsJlhGKjUmFloJD+9uUw8B0XrOxfQExn7A/dCMh8BldrRjLOVM74yBtEqk5tz5jNKtI0hXaynIg75FJyai/xHzLcmFrSiJSphYOpRKhE6q5hboEJC7vIGTc5SaJMz1KgpJRyWqpFpNyznS+RY/ArC7J8xa+DnhvyRZ6TE5JKpNQJBZjZQw0VRmI6IrogyXs2iQWeJ9QexnnVnyFsYHNjZJRMifLUto6i0550pImilRKhFa40mCnhi2dsb/fJnWClqsYDQuKuku2qJitWaaXLO1OtqvAhCuK46mZxSJSRSVGOYGta5J2QuGiYhZaGY5N9LwmXNjgfN0DqdBXtAgGo0CIaKMdBJOZwhQFh5YkU4ZsdroU1pK5LrXxSC+RQSO1QqcZuQpkjSqikCACQoEIAZRCaYFXmlZqmZV2d0NN2RqddHDeU4wtyjmENOg8o04SdKhw0+i4J7MMVUg8gTRRVNYSWpaDwrDuBSFAFWJxLoNGSEGSajq6zczMHqdgBRtbaGWeoxC4KiB006JKxrYqSdUVM19CEvBMhiXjmaGqFXY6ZXs45bQ5BUJwtHeEGUO8hyyomM/kLLKZcWwlmqGQIBzC2N2WzhRHXy+Stw/Ry3P254eZhxGEQKoUvnGMyROQ/Q79fsrQB7QKWAJ12ainjRrpiW6QvqjwZUXQseslBvdCUSkunJ9x3U2RbBXzaMiRtCVm7rF1YGYsAVCJRQJZ6tmaGLa2C3SIn70ajfFyA/ZZhIgkv64DKI0QDlEZhIhrpDIkuSTRGh/KaKd/7Hj8Dmzcj0s1jC1pIpkWltk8zggGHxpnwxiabrOEsH8R1gLWOIzzzDYd9cwjEshUshsQ7ZOEgCd1UXu0icIt7sMXQ+zmJqz0n+hy+3fC1RKs/45or/7K5t+fA//V1S5qD3t4ujD+xMdYf9vvo/qLHPmZn+XSKHDfZ8/TX27xaGX4d//PJ7HOc3h/h+988TGed8vBqyZWAJN6ytsGf8Jn1z/PUrbITz/rR+j8PSNXVyJvJbziNbdy/Kb9fPDdAz747gFnT23zslfdzI/+5Lfzq2+7luzCSb69fpClBwe84kF4zrUL/OVNn+N/mZznn9z+g9y09HXlqr2HrzJWV1eXvp6DhifDEl9bioZgCSEIgjjfVNVAdMhzziCCjOGsKu5Sex92i8baVOQutuT4+ZwQPFvrDpUJ+tLTknL3GjcrDdOpQ3qL8xJXxhacXEumzlCWBmFr9vdbJIeXWdu4yMGeYjvVWAXjac2snqFtjfEeFwL12JOQopWgDgYfwDvBxa05mVYcX72eRy6NSRoF/9qjB3jkrCaTEotCaoFEIlRKZRzOA0lCiYhOggpIE7SqUDK2pGkVLeSTkFHWFdMwpl7ez8HDS/jRnCAcqtNlWgYEmlplTIrLzTlKKDwVMqTopooLsiZUBqTCaw2mYjgL1JsjtuqCw9cu785OOWnpZArlFCpVmLlHilgcZ7INStFuQ2u0xtpaB681zgQWRY4JIHMJUuCvIFjR4l6QyRS7voY8NcB6h0hSbLBRjUwSTOajOUhVI4s5ordAri+XgsEpghQUtkB4gXOCiZ1SbHgWVwTXX3cdW/MJlbVMpjCfO2RIkBr63SXY2CaVDcGSCucdyID00fHNiDq24jXGBbLVAgvS1qi0R1U4bOXQDpAW0UoRWpN4cJPYmirSlCwHmUjaeUILyfl1T9mER2Oh8iUZoLxCpRJXVbQrz0zGzx7YNTfxgWg7bkR0imxmmHpJh6Gb0m5+i2PGrsIHT1kYghCEIJhvOQblWeShmmv717CgurRCjvWStsiiQ6J1iCS+breVsn8/sDlGFOXuZkeCQwpNknZo5wlZ0kHqLlp3yBO1mymHt6hExZgE59EyoH3AN9lRQot43EVA6gQw+KrANyPhPsRZNeslvrbUlSXLE6rSRoV3oSFYVaAIcUPGOwdOYG3NyBgGj21xpK3QIiEEi7FVjF8QUSisrCcoDaFG1ZagAk4ERPCkPYmWKq7jivpJCUUpJTpAJgJTYDgqELsKVkMcvSe0E5QAUkFVWcLUUU08OhN09gvENMXsKLxpSiCSYwdYCW75AP78GF9XfKVwtS6C28APX3nb6upq9jfcfQ97+JpG8cjDrP3OW5DtNkd+5mcR/WU+dOenALhnWrLxqbPsW8j4rpfdwAtvO7R7sgNsFtucn11gvdhkVI1x3tFKWnSTDv20Rz9bYDHrs5D2oh0pUDvD2ek5Pnvp83z0/CepXM0N/WO86RlvpJ/1npZj8FTjhtUD7F/p8r4/u5+H7rvExsUp//C7b+fnf/i5/NofJbz5wgovub7klfP7Wb7/Xr7rHKwvzXj3F36NAy98Ca+76TW7P2572MOTwerq6guAPwTWVldXv4W48fdfDwaDzzy9K3tqMdqeU44qTCqoyxKJxOexHUo2bXrW28ZiWyClINVQm0iykjQ6il04P2G04Uk1HE5nlNZiq0CaCIZFYJ8TKB2vdUVhUEJiCLhg8d7tBrpKW1NWDtVk6KysLNI7ukRRzdgG8lxRTQzGWrxxPHphjO93cDNJ2knRSuKkxzrPpa0KHwJHV7r0exlZ0hRjWnHtwUVGBxfoWsV2leBCLJwQCcY6XAiQ5cytQBHJFIlGyoDUCtnK0aYAAbls46zByIpJS7KiWkBBCA6ZZThUnG9RGcaIaJSh4uyKEHHwPnWx5JHKxuJNwLYakpeGjl1guxqDgJbpUjU20joNpE4hhUZoTSsLGCuQeU7IJdnKNXTcFl1zjs15ie208RmY2iMSydp2wXZds9hKSESCCfHzzlQWi8jhFloqXIgEq/Y1mUqRQjK74TB2OiHZmJO7ksPXHGHpQEMgnMPUEhCoFGwRCVvtDIoWy2KB/fuPcf/mgO2hQQgYjx1apBzoLHO4f5SKbdpJQErQKKw3BCyCSIimdsaiVITG9EK3uzCeI61BtmQMynaWLAR8LtCZYv+hHuXpdYZrm3RzjcwyDl6bcWYWWy0P7mvzwCnBdGZRaVSwal+SBo0MMeNr9uhjZI+dRyxJ0oXr4mcmJcHaqGBlGWqXLMffaC01x5eO0+tEJ2AfAkpIQgiUpcFHvxaCiS1qfa9YzpfACXSQ9PRBautQjb2/3FGFQ0AJEaWoaopqzEQwhkRLjE5o5xqkJJEp3aSDlCIqTxAzrwBbR4KVaoE1ARGa3DEdjWiEENEAJk3xZYWpHELI2DoYYjul81BXjixPcNbHaIZcoLTClp5S7LB4R1l4TG0glRSF4Xyew4lnoB69FzspCb5pMxWx1TJoTYZAuIDuGNrXZ+RZzmY9Q4ZGRbxif1oJhdfxuyGb3YOytGTsEPZGwfIel6ZR+cscPniG21GxXDrQxSQlVbDRzh0wKqqyUmigxikBSYq96XbSwwee1PX274KrdRG87kvc/EvAP72a593DHr7asMNtzv/mrxOc4/BP/BTZtUf48PseYrRdcJHA2MP3fcsJXvncIyTN7taknvLR83dzz6W/4sz0/JN6HYEgUxnWG+wV/R0LaY/Xnvh2XnrtC7/uZpAWFlu87g3P4RMffJS/+tRZ7nzrZ/gHr76Ff/mDz+HNf3YfH3l4g9MHX8ZP/cxrcXe9Dz71n/i2j40Zfe49/NEzPskz/tEP8A1HnrdngLGHJ4t/DrwC+NnBYDBfXV39R8Cv83UWXt9qp6Qzy6wyTMaNgtVqA3NEY09ufN1UgA3BUgEMVKVlIc+p5wE7r+kKqC1MJzWlcwgfSHZ2i0XMHIJIsCSKoAN1afHOoRDkqUKWNVVtaZsapaNaIqSMrWFAngrG3mLr6LY3KWvcJIGQkCpJK8mopMUawUZZkieafQt5nO3JEnxpkMlOUZXEebG0DSJeV9Ga2kSHA5nnMetGKVKlEJrYHthuR4e4eUHSjLS2fUYnXcCkfVosoeSY4B3OO3ySgfQE2aY2gQxIE4GQGiGjAqM90RZfRJc76zw+V/hpQeVrjND08h6JSNE6krReRyMmkGmFTxSdLEAWi/zsxA0oJRF6TL+dIjsJpp+zsV1Szizewbw0oAXWBTQJXgact+Qyi+5wIhardSsnLC1g3Ihu2iVVCUVeIDsZjD0LysZivRHnxttzvFfkHYlLBL7WLKZ9WhkUtWA6hsMizguJAHmmwcWCel97H2maUwEJnqSVoKpo/Y6PKoHMJJN6yqJS+J0A4ixDpgY5N833LaCGG2ilmCz2KGzNoYML3HdfiUCwcPwgqt2mrqKyopUk0dE0wYWAbgwcELGFMpEarSV2OqWt2xwdViyGSIp3FSzREKyqaa2Vl0tjpeP7ddYz2phRbTlmOtDFECR4L/DWE4JHiYyWzjHEnCbb2IBr27z/HaVwRwxtZTCfkpQGenEOsp1pXCunlUWCRYjqjW7+BJDORTLfKFhpIkF4hq5RubTABYuQ0bY/6ITZfMaWnyITSagiUZRCUnuYzw2Prk+pRyWJlgQpaLUTpuOSorIkAoTwbI8KOgL2LbUZB0AIbr7hKJ85N8CPXZxRE3FOzTgLSUqKwjkX2/ySQFANWRI7BOsKBUsq0JphNWZWGkq/RF0t0jj4I7OU7c0LzH1FSFpkSUpIS3wVmE3iNa/fbbNdVwThduMUTLCQaFRQBFniGrXYfC3nYAGfBzaJhjkJsAKcudpF7WEPX014U3P+N/8v3GjIgdf/AJ3bn8F9969x76fPURHQK11+8bW3c6ixZjfO8BenP8T7T32I2huUUNy2b5Ub+8c50N7PUtZHScXcFEzNLA6+ViNG1ZhRNWZuC1KZkKqUQ52D3LJ0E7cu37xrTfz1CKUkL37ljRw83ONDfz7gvX9yH8/+xqP85Otu5/ff/xAfuuc8//uHDP/ld7+RY9/1vWy99934j97Fiz65yfye3+Q9zzrKc7/7TRzc/6X2dPawh8fh5GAweGTHfGkwGBSrq6vDp3lNTzna3ZTezHDpUsH21ox9QuJbORDVAIgqufceIWKLoBYO0Ji6CSO2Cmct+/uaS0PP9jTghAPv6aQCVwS8kHG3HSjncdZLpmCsJViHFIpEgzIVVe1oG4Pot2OVLyXTWaCaepYWFNvWUdUO5T118NRzhxYSpSSdJGcUZmyPDStJYGW5tbupovMcWxpkFlUYsgw/qQmZioV0ELigsS6GBot27IUKnR6pFghfoyWoThfZbiO2tjh0qEVtKhCOLOuzkh1F1ClaRZOHWVGilpbxZggyobQNwdIgdbKrYOECWuuma0FQW4fI4nyQ9Q6dS/qtHs56Oq2Mg0sd+j3FZGZp64TFQynp5gQhFJMkwbmoPAilkFKxkCpcN2M2E0x9wWTu0FIgpcI6jwz/P3vvHWVZVp15/o677rnwkT4ry72iqroKCg/Ci0GIFggEAgkQoF7MtLRaS2bUGs38MT2tltao1d3IIoM80y0hgxxCCCNcC++LMryqyspyaSMzzLP3XXPO/HHuexGRrrLIKgpBfXSQ5QAAIABJREFUfGvlyoh415x73r3v7e98e39bY5T1BEtFUAC2QAcB3T27WIg0EghUQKQ8saglhmQ+oikz0lMn2MhTRsOc8TBFCJiZMawp4VMaVU4SglbQGzm6pwfEJmbNZdTCkEmeojHaE2qtCIQlqgWMC4UsBGLc8+ma9YBe1seKureppyIwQYjojsA5yuEAMU5JFhucmYVRnkJQo7TOB5pz3vVtQl6U9GqNNBqJmCozAqjrJkpopBSU/Uq1VCF2YwNqdaSS2KLAKocIQ5T0NYhW6qnVg1CKsrQcfWCNUT9DCsm4a7EN63t9OYGtrPlrytcOKyURZTk1WVD5hGAZoJgSJSIDQ5Aj/7rLcxZnYq68bjdZ6UBIcmtJ0xwlIa921FhyIM9ySusItSAIQfRtNX5BWaXrSSSFFBw7PmS9tkF/ZozDYZxESEFpHYcfXEfWDYP+mL2LMUOpmG3V6XdTirIk0gJsSTbOaQlJoxZSr9WY311noRXhtMG6rFLNfKuAonTQSAhsn9EoA2nIXIG2nhgLsal2TSCFxGpNXuZoYegVG2yMZlAqwGhwRjMucwqpQQpiFVIEY2xqsa5EBYJ6mLCWrSGlb0hclBYnHCLwKrZDUbqCwuU8NLyPXQPHEo+NI/PlEqyf6XQ6vzP5pd1u7wZefZnH3MEOvmFwznHq/3sn6b330njGM5l58Uu47d4zfOA9dxIDu29Y5jUvuw5V2dd0Vu/hTzrv5vToDK2gwSsOfjdP23ULiYkvfqIdAHDN9cvML9b5x7+6jS9/5kFOHe/x6pc/gblmxF99/F5+/p2f53ufc4iXvv5NLLziVRx9/9+Rf/SjXPXZB1j5wn/goadcz42vfAvBwsLjfSk7+ObF3na7vRfvJ0a73f4O4FuuoC9OAuIoQ1no9UbMhWC1AaMQVYpgZvMq7cc34FSVvXQ2sQ7LJNYWxEbRqgk2Bo5BbhFYakrQlT7darLKnKaFX3kOBFmZ46xDK0OgJSofUTxwhDXhUFoxuvsMcyWs9xz9kwVNU3qXtqwgcpDbknRU0kSysFynKQSnVs6AU2gpWZzZ/EyVUQj0UIGvG5NxTOnWPdsRBThBmoNDYIxE1XyqZLHnILsWDEcfuJs8OYjasw+z5NOvg0FBdLIq0dMGKQS9YY6WhtLl9IcjRBBQNmJ0H8bjEpwjCiRKaZS03tI7d6hIk9qUJIA8tYgQypkGVhp0JAl1QJlbysISaOUb71bqwtxcHZWGZLmjr7V/v6T0hhBSUJQ+vW6+XqN3ZuQbS8cKpRR5miOtRClDWqSEMsR573Wk0rjCUjAmAAJpiLQnWIGRzO9aIFw7wbA/YjgcYaMa0jlmaoIsjtjQoJRXIY121GLJIC04fWyDYF+ItdBIIkir/lZV+pswBp0X3PKEZb781S79YgBpj1ZjxOLBZbpuzGre3SQfQYAMSp8qVuSo3JOc5t4lKE+RFhml8lbjDoec9T5q5cRIQ0lKV3hSg8SVlpae45r6XmbiOsdW15ETe/ekRjkY4Iqi2ldAnuO0RBqDkhXRUYosL1jrjtndbHHyWJdxWhAkATEB2BTrLFY4SuvnG5jWTUshkFsaa4vMX5Nv5F3gtipYbBIsm2UIrfycC9+IemhhtDHiIHZKSnWl/qXVfqpKPW3FJVpklMKb0FC5Zo5zR1aAKAtkoMgLixKiMuyA3mBMq27IC4uWmluWbmK1v8GDD65QWOfrGK1FWEccapTWBKFiaTap3vMAGPvUPq3ACooSlNbo2gyMhigLRZmTV46JolKwtualKCH9ZxhgRAkCuv0Bsw2NVoJCwEoQY5VP3Y1MwDDw90XpSkwiibT/3BDKkVfGO05ZhDE+7dBoLCWDsusXQORj5858uTVYv3PW78fb7fbNlzekHezgG4f1f/oQ3U/+M+EVh1j+obfwmTtP8t733MkeJ5g/0OL7v+d6wHdn/8D9H+Hv7/0AQgheuP85fPehFxPr6GHOsIOzMbdY4/ve9GQ+8t6vceTu0/zlH3+Rl7zyBq7Y3eD333sn7/7YvXzl8Bne8OJrOfiaN1D+6+/j9n/4E4qPfZL6Z27n8Of/Pc3vfDG7v+eVyGiH2O7gHLwN+CieaL0JOAG86lJ2bLfb31ltewpwnU7nP571+muBVwBfBp4KvLPT6byneu1tQI7vQpMAP9bpdB6ztiXje+9BpJJEG2wvY+gKnAqwWtPrdgn6KbHJyPPSO4NpibKe5OSZT+ehkChZYrG0aorh2FGOLUZbjC0QKqwCfr8YlWcFWvvV47wsEKVAG0GwMI9bW8UJn/gVzs1QFCWnNwp8COVYP5US62Sa55SXFpv7lexmK6LeqLFhTjNj5tjXmJu62gGYZhOx2sU0q4a5MzMU6RiXtGD9DDjBOLOMZ2epM4sKNJME7KShmdsXYgd1luZqSGMI9+5D3r+Z1q2CgCQJWB+M0dLgnODE+gqhrXsHOqXIMovFERrB7l0xvVFOURiEE2htoEgJQ0u8VCCNws0klCZBBTmhMaR5QZ6XKKEQskRMDDcCg8NngwmtKUtvWCCUQgtJUfgr2TPXZG1jg6Qfc3BXg+HaBr2+xRWSPbVFWmGL8VCSixJXFsjI93HKJwRLmen3lVACYyIaN91I99bDlP0Bobbs2z/DYPggG1ojtCCQga8DUiWmWWch67JeFIxOSlzpaNRjSFMcEAQ+nBTaYNOUKFDsv2aGtaNruK/1kZFi9+IBButHWB2fIa7ME6QOEKF3eBR5RuhGEDr2Hljm9iOnGBcphXW46rPehRV5nqTfKa/WSO17nRVlSWAiaiYhG/u5U1WKnmo2txGsTQXLE3c1cd+Tit4gp5/m9MeWgRsTRoZEQFkY8p63+7bCG7KINEOsdYnllkUBZ6eZgKoyUpjYtE+IkggNKImYKlhZRVY8Sbvhijm+cruhNypw1k6Vr8ndnY58WpwJjLeap0Bpr6wVtpwqWKPSkZeCRiBIjaSo/t5IDPWFOs4Y5uYS1o52p2lzQaiRxs9nGCgKlyGcJQ4CpPb9wqbXqgMclhLrv5OHUFR1n+HMLL1jx8D55zktUrTUU5J5dg2Wq9Io6zJAKBjnvv2AUXCil1GEEa0k5uDuJWITIsYCHUjsyFKL9dRIBlVAAf1RjsWiYoUbAMpQuJx+0QUnmAlneKxwuTVYf7DlVwnsBsoLbL6DHXxTYXjnHaz8+Z+imk32/OiP8cEvn+BvP3wPNyAJYs0rXnUjAFmZ8Qe3/wlfPX0Hs+EM/+bGN3CotZOqdjkII81LXnUDX/r0A3z240f4m//+Jb7jxVfzcz/8NN75/g5f6KzwH//wczz7pt288jlXctP3/RvWX/oqPvy3v8nBTx1Gvf8DHP7kJ1n+/h+k8Yxn7tRn7WCKTqdza7vdfgLQxkf3X+t0OsXD7ddutxPgt4EbOp3OuN1uv7vdbr+o0+n805bNYuBnO53OA+12+0l4M433tNvtpwMv6nQ6N1fH+grwTOATj+7VbcKmKXpUEAdLrKcFuQCHIhcSV1jKjSF5s05ZlighMUri8hwTKLJxybhSo7SylK4kkJqFpuT0sCAMSgIhEWrSXLWqM7GgY42ShtJZcP644fIuXL9GWdVB7H3CPk4d7TLKfLpQmAhs7t3rKmERi8AVPtBLEkOgNE9cugEl1Tl1qCqKiA4cQEU+eFLKMF6ew6Wyci2TpGlJPj+HsS10oBjhg1RvGw0HdrVo1TY9uKTZDH9kYJhrhqwPxsS6RiAy1vt93HhIkAjKVOFKGI5LHjiZUt+z7IPXvAAUqhZC2qOwJWNTQuVumJU5zUgSSENKQZ6VaK0Rwk4VLB0F5PgaMVEpWNY4hFQoBaIoUVJTD2OWF2NiXaNRD2kUMWunNyhGjkZQpxHUud+eAfCOdTIAUnKXAopABZXFvEAZ6ZvhBgYRRMCAerSpxMzGswwiYJRg1QZKWVS9TtLrUSYSiKgHDVpxk3Kc0wOC0FTzaigduCInMBolHC4b4eZmCVXIUrLASbHCsFKqlAkgtEghEUWOHKfUmyGtmRYCGBUZeWHJD3gR2tccKcpy0/igdGWlYImpeYZgs6ltIPx9qRpNOH58SrBMpczklYvfxLiqFJsNePupgwCaMxEnTub+OgvpWwCEEoyiIWPcGMx4i9PkFoI1UbCkMdjS4TsnCF/bmMQwzrB5hitKVLJZKpBEmiDUMMhxWGxV96QqppWm/rp0HGHzPqoocNpRSrzBiRBIKelmBdYK5mqSNaEZizFK+Pq4KNLIwBAq3+ZhUrckkShf0kc90WyMLFhHHBvfWqA8i2A5h6NERxFu4CidQEsI5rwFumotUOB782kZTg07tilYUuH8g0FNGISyjMsMZy15WdIrvfq6u9XiisUlxsL3vAtiiV23RElEUL2XQvjrmBAsEQeIQYYxDayzOJUTU0O4b1IFC9gP/PfqZ4dfKfzIZR5zBzt4zJGvrHDst98OQrDnR36MD3S6vPtj93KjlEgLL/zu6wgjn3bxW7f+IfesH6E9ezU/fMPrqQc7PZoeDQghuOWZB1na3eCDf3sHH3//3Ry8Z5U3fde1PO/mPfzZR+7hn289zqdvP8Ezrt/Fi5+6n+993f/JB5/yIW77h7/lKXcMOPH776D3hc+x/MY3oVuP3UrUDv5loSJUt09+b7fbv9jpdH72YXZ7JnB/p9OZ+PZ+AngZMCVYnU7nj7ZsfzVwR/XzGaDebrcn36kOOPJ1X8AlQCY1anYDmRcU44I8VpS5IBeSQApIxxS2oMhLYhRaC1yRY+qacVow6I3RUuGUpXAlARAawdxMinUCpXyamlewBEWVVqiMYjaus8FJAIwWmEBNV9cF0GxGbJwZkQmB0YKwJhmveaJjpCA0AisURSFQsSKoHCcuVIc6CXwn/yupKhWgclMrHUXhiLTCZY4w0Ixy32tqkop2DmkLNs8lg4DZRoQ43kMpyXK8zJniNKlNqTU1ATEbJyErC7KiZFQIr0QVFqcdOvbK2qgYUVQNoMOawI0tYRCiqtV75xxBZZIktUBZiYlDL3tKiQp8DZa11qcICgWFD4YX43mipZBgPsIEimU7w0PqJKdOjNnYO6ZVD7HOISbmEdorISWeBAbS1681TB2CzFujK4mOQgogUSVuWk8VctX8bu5bPY0OFZCjav4aIw1DK1lK5gkQtGqS+nyNOPLnE5UC0f/SF2HXHA2XM9YK00rQUtEI6pyYdIwVnmA5510HxbCPKAvUTMvb6CvNuBz7oL9K5ZpYb08IkFaS1Fmk9n3KBBYBZGlJOspJagFytOrf83rd1+xVKbSyyHxtk9WUpWU89ITFOsiq96w/tDRagnojxJ7oooUiWFIs1ROOHhtT7l4iEU3c6VWKbhd2+xRG6bwtvbDWm85ohdSG3tGCInUY5ev4dL0BI8hXTvspCbdnxcw0DemgD9anCDptMMrXRKWjzNfXJTF5rw+u6rNc9WkDrwqN8oJISxLpbeC9CYqo3oLq2armM6tIthQC0xKEqSQeGQYZGOGNWQqjyDNbmVoIlAlxwlHakiCOfY+4Ki05CAzZtTeRzCjGHJuOaSKAbbdp9yQPrQisJVSaLPMdpfvDMS5KaCQGISRSimnqcnMhoqEUYWD8Ao1UID2JPtPvMSz7BI2QQLSwtRaJOoPTKQ3XorSPWZLBZROs/9TpdD5+vhfa7fa+Tqfz0GUefwc7eNRhx2OOvv3XsIMBS298Mx85E/Dujx3mylATjy1XP2GRQ9csMMxHvP0rv8993Qd40tJNvPn61037Z+zg0cO+K+Z49Zufwoff+zXuP3yGP/u9z/LMF1zFf3jzU/jkbSd536fv55+/epx//upxnnBwlhc/9RbmX7fEn37uT3jhp9bZ9+Uvcd/dd7H8ph+mccuTH+/L2cHjhHa7bZnII9shqr8/HMFaAnpbfu9Wfzv7PDHw/wDPB14P0Ol07mm32+8A/gLvEfYhYOViJ5udTdD66189HeWL9O/pMhsoVpykl4Xo0iCigHhssDgazZihltRiw/xsgok18XIT6QQCQatRI3OKCE0zjnHOYkpNKAwzzYiuSWg0IpYWGygrSGLD3EKdm695Ev/0tWN0ByXzzYRdu2aZPVWwUfaYWaqztNREIjlyeoV6kqNmY1ZTRxwZdi/UiIKU4yJAmID5uRrLSxcvMh/1vT18oxWxuNhgVTRwg5xRWlIfxoixJg4CjM6ItWFpqY7tjpmph8zMQcPFLC40Waxttr8INRyrSEFzvsWe3S1ODzKOHxPMJgEizTk9tLQWIpb27eLEjEOKFcjGxM2ExdoiWgmUC5hbXmC4+gBCl4T1Og0Cdu1vIKWgGdZZFHXKbKKsZJRNqNUcNy8eoNWoc/q+OjIwFLU6trTUm5FX97I6ZVGQRJq5SLK8tHc6fpmN6PZLRtqx1s+4+tACZ070oSygJzl1xtJq1ZmdMTTqIXuX59BKs7DwRLKDBetrI5Z2NViaCVj9wjrNRBLMJuhmRG2hQbJnBleA2R9Tkznh0jJrpx5EzQUU49jbjp+4n0bT0VhqMLs8g05iUrub3rgPzhIrmA8VLDcQu+ZZXmoxVyYcX0ngjCd8S7tnsXmOOpZQ73UhCmjsXmBxscFss8EwH/FgdoQV0aOhmzRbe1mcTehlluaoYGmxwUYxpjWqIaIAERlsHGJzR7MRs/fgDPaeE+ACFvfMoe9vIIxhbrHBmDGzrZCiETMeFmSDgjgwtFoJG0mEKy3OBOzZN8PSrhbNE310JHG1jPnZGhv9Af00YLY5z2jQIxYFi4v+HqvH2vf4Gg2ZaSUoJYiWZwhPrRAoWFxoQmtMoxnRXMmRw3XCZkTj0G6ixc37tLfcIOv3qMUGkoAk0Cw2JVkzJB9oRBSwuGceMeyRFo48CWk0QxphREPEiH5IFFsaM3Vma4rFuSb9XpckCoi1ZnaxTmklzVpEvRZiIsPiYoNxEZKsh+QzipnIUK+NSaShISPEfINBP2d+vo5SkmazTjdQmEAzuzzL6NQGQaloNCKWlxqc6GUszsYY5eueFpImYZqQxIaZVjydMzfIOLYRUsw2mKvFLKQ5p43CCovWkoXFOhuypFmLWFhokAWKNWKaswEzImY+abC42GAxb7FqBhgVc6R/FzbImYlqzM0sM8Awa2ZptgS9LszO+YWDxcVHvzXO5UaLP95utx3bVb4Jfgr43ss8/g528KjCOceJP/hdsocepPX8F/Kp8BB/+dHDLNcCFtOSIDF8x4uvoZ8N+I0v/y4P9o/xtF238IbrXjPtX7WDRx+NVsTLf+Bm7rz1OJ/68GE+9o93cfuXjvGM51/Jz7/16Xz13lU++LkHufP+Ne68f43d8wm3POk1vOc7/4brO12e+5URx3/z1xm9+CUsft9rpquoO/i2wq92Op2fPN8L7Xb7v17C/qeArd+yzepv29DpdEbA/9Fut68GPtJut68EXgq8oNPpfFd1vncDbwV+80InW1sbXsKQLowyBQUU/R75OKdUAYGyjOMSu1qQbgzpdUf0eynNccJwmOOGGW5uRLc3gh7kWLLRiI2ipFc4zqwdxyURorD05ZhRFrG6OqB0lu7GiDAxDNOM8QCuaC2xqgoCqVndSCmtJZgJQQpWVnpY5whDUMOcNJUMhg5yTTbOCMqMUlry3OIkrKz0Lnqt3a4fsxOOlZUeve6Y3nDEKCtIRwVrvSFpWhALSa+XMjvK6fZGBAJOnx7T641Yl0PEMJgeczjKGFUpVmpcsLLSYz4x6OUa6yf6uEKRjjIGfchtQa+fY9IckWWMuhnkCuEkozyjN3SMxgWjYUY/rqFFnX4/ReAdEDeo5hwY64K0638eJBlZ2iOf34VQiv5aSjrKyfKCfm9MPHaMBiPcV+/lwWCD+i1PQVTqT7Zymr3zIXd0Bzx4ZJXFesD6+pB0MGL84Br1A/vY31ogtWv0e2PWVkfb5lRqwenTfZy1pOmY/PgZAmcYdVOy9ZRB2COIFdBkCAy6Y3rdFC26dK2m7PYIewOGrVn03DxrgwIGPZAx7tob6X3us+SFZTDuI4cZFGL6Po/GDoYZWipOr43AWnq9lPFghHUOg2ZlpUeRWvppyikcg2HGSGScWukhipLbHrqLU90+h9ZrnM56jNIcNS6BlLH077+UgnScMVzZYP7ALlZWevSHOS4fUa70yI6fIc8yRmPL0QfXGI0L1suS4ycN3bRgPMiRYUZelJw82aXbGxEWBWU5YsX26A1HpKOMYeAYF7B67DTJyQ1wjvEoY6AksoBBPwUhSDcyhoMMqSFpBJzqb6BUjW63B1QOhrmit+V5GI4KRmnG6soGeX9M3xiGgzGqNmK9N0SlGaPMMuyPGaUZReBYXR+QGUdvOKJcDxmOcmpCMuwOEfUaCCgyyyjPSbKC4agkzXJsUbC2MeT+B9cwgW/yOxhq0lxSjMbkasyAEDcY0++NOXmyizGKdFBQOBilOcNSMBrljAvJeJTR66X+2S1KbGIZuxFRUWMw6DMc5XQ3RtP7YmPsP6/GJiRNS/Ral9TEHMvWmMsyYg3pIGMoctbWh+RmRK874kSxRm84IiwSVugx6heMRinj/pDu0KcR5iogzUr6RYkMNY0wodsbcPJUl/rB+Yf9DLoYLkTOLjcKOQj8PZupGDdUP4+Bay7z2DvYwaOO1fe+h/4XPk98zbV88cpn8xcfPcxsPeDmJGRtMOB5L7mWTI359S+9g+ODkzx7z9N5XfuV33K9qb4ZIYTg+pv3cODKeT79kcPcfccp/v7PbmXPgRme/KwD/PTrnshDKwM+8NkH+PQdJ3nvhxytpafx1Ws/w9HlkB/4rGP9g+8nPXwPe370x9AzOymD307YSq6qVL3r8GrSXZ1O56cv4RCfAg622+2wShN8NvCb7XZ7Dig6nU633W7/NPDfOp2OAx4CFvB1WfvxKfITHAceUwccmXgHryDve1curagvaMpUTBuoOsCVAq0lIgxxaYre8lE2O1fj5BlLKSxjUZWpRQG64n4q8CmCa2eGSCmIm1X/IKOqxsUaJQEp0UpSWIlWm+l8s7MRWeob/mIsFosUjigsmVsWbBDSbD38NE2yiCb9uCY9dJT0vXycAIFEOInFksQGgSCONKXzxOKcFEGtpilcKpi46ykW52oYBCsneoSxJ2RJEAK53x4oXVU/pSTjvESYyse8tCANddVC4DsDGKV9s9cKxpgqlGa6aGfmvSuq6vp9iqoOxkQBbJTIcY5TlrLXnaZC2+GQWiTRPcdwkHHsgXWcg5Nn+swCVx+cp5ib59bT64Rqk1ieM7dSIqMIOxrhqvSwCYnbtp1SvvnyYIBqLDDubqAdRIeuRIbhOccUxiALi8grx75gcwyxiRkBTkl/LikJ9+1Dnh5RFiVhwyuas+E8w3HOvvAA6fABUjskq463Nl5nWKYMyz7WWW9QIRUSO00l3XNgBllW5w99KubEhMM5hx2PCbQgNVUNVlVreGZ1RFYq8gIMgqQeTFNNjfQWE6UrscK3KRACVBxjyx52MECEob9XlYb9ewjmpe+ZVm9M0+pqJkFJTSNpIYM+NsuQcYQMtr9XujIPKce++baLEoTLaMmSVVv6VL44nj4bxZ5dWFf6Gkkgy/24wzhEqYJlU6cXLROrdbAZYWQYjkqycUEjCeg5x21HznDl3gZF6XBYjDbkziJKizQKUSnvtrQ4LVEoilpIXgMTRYyXd1N2M5Ty5jpSCHqjjI1eSWvBooRiUsJ1jsmFBROEBHFMfOYMIssYa+8sGkUGBiNEZaAxeaazyiVSCz9XgTJoKZiZUxweQk01eNKeGzj+4AahLYkS41OgYVst2aONy40a/ydwRafTeVan03kWnnD9c6fTeQHwny57dDvYwaOI3uc/y5m/+Sv03Bx3Pv17+YuP389sI+R7r9/F2qkB11y/xOxBw6988bc4PjjJ8/c9mx9ov2qHXH2DUW+EfOfLr+c1b3kyB66a49gD67znXbfyp+/4LKv3rfGDL7yaX/qRZ/FdTzvAcLXF8M4nsdLQ/O4LQtSTbya99zAP/L//iez4pTV/3sG3Ftrt9nOA+/CE6TPAkXa7/eyH26/T6QyBHwF+rd1u/zxwa2Vw8bPAj1abhcDb2+32zwK/A/x4p9PpAn8E6Ha7/QvtdvvngFb1+mMGoRQqjolEQS10JAt18kKAEEilEWVJXliklQRaTgM3XRV/SymYm6shypJSgK0CjtnWMs3Ar8jqqiYoz0qCQCGrYEkpxSQGV9KPReuK/Gxx/5v0upEOpMG7vVUBlTIKiZo2br8Yzq7BmlgrSymIZa2yfRZIJ7DWUksMN101z+75ZBpoTkjZ9JhCTOt6VLg9qJ2ZS9h7YIYrDiyipKYWxBilmFy0EwJhS+JQY5MGKyODTWJcLSJS9WmhPUAgg21zMqnBQojzkD7/e17Vu+nAk09ZhWrF+mY7t3IwQEnB4qxGhd6MJM0KyrKkWQtoNGMCZbiydZADzX0Xn98oxpUlblyVH6rzf+epRgNXFKjxwJOUuHYOuZoeMzDIvPAES0m03twuCr3bXrnlNOHefdC+kfzqGwgqM5OZsMmu8ACuNNPgOS1yClv4RrbAyui0N7kQAik1EsfCnib7FxVy9SS2aro9uf+F1j5huCwrguVJF3iCLSycPtGlN4S8FEitMEZNXfNkdQ+UrsRJO23hIpME5yBfW/VzJAROKmSjQXTgINEVV/h6I+cXCgIV8MTFG9lVW/a1YYButs6ZR12Nu8wyTwpjf79H5Gi86YNuNlGzc+T7roSaN3Eoq3q6LHcYJTFRhJIwGwn2zM4TVbWCJlDTOqhmLeCqPZ7cHn6oy1o/xTlvYGIBihIh1aYZSOmwpUMrRd5q0N+zCyUVNghBaeKaJzLt/TPM1EJiWaMoYHXNcvSMV5bENoLla7C0NASL8yRBgElTCnwDZDsp3RMCpbYQLFuZfVTPcyD9nMWJf0bnajXiOEBKScMoZpVySwDjAAAgAElEQVRET67hm7gGa7bT6axNful0Ouvtdnux+vkx/XLZwQ4eCUZ338WJ33sHIox44Pmv5V2fPsFsI+R/e0mbj/z17ST1gOufM88vf/G3OJOu8b8cfAEvv/K7dtzpHkcsLDd42Wtu4uSxLrd98SiH7zzFJz98mE9/9F72H5rlidcv8/y3PJW///QDfOpwjrv6y/z6NWv85PJLGf/D+3jgF3+Bvf/uJ4iv2RHTv83wC8DLO53OFwHa7fZT8Nbtz324HTudzgeBD571t5/Z8vMvXGC/AfCGyxjz1wVdryPEGq2lBhtzc2S5L5TXJkRkvmeSxistogqElSuZmUsIQk1oArCW0kA+10DIkn27r2G45r07VKDJJmYCZlM1AggDCZQERvi+PVVQPlGwgCkhUU6gNJRpgZC+z1MYalomZr55/gB9Kyafw1OiVQVWSgqaepaxLNBSYQvfD2dsU+qhNyPKrV/dPttAQ0q8wlDk6PBcc42kHnKwtpcD7EEKSfvADN1+gxP393FCYGtNWrMR6dwBVocF6eIS9VgRr9YJlJkWAxppthEsUwXzZxM+YMuquldhwiDxc1UZVhQb697oYDzGlT6AjrVDS0VR+jRF6UqSUCOrNOm5aPZh51fFCcXaGuWg7+f7Aunwqt4gP32a5ug0Qw27rt59wWMKEyDcELIcjN6WYh+bGmv4flPbjq8VZOWUhE6s+tOsQAk/b6N8zKhIfeNhAf28R+j8PaS1xpaWKJDkD9yLK0ois9mfCzZNOFyRe4IVapTZtE83QjAsne8j5sBUKua0B1V1HaW1WGERTAhWDQaa/NQpdLPp71Ultz8PrjKWEP44k/taNZvkq6uo8xg1mereLCvljiBE5go3HHLFUoJLBUJrzKGrcMe7CFJK551B89JSOogDhQwUqgBTFrQPLnPbvfdhAakV2sgpqZ9rxTRnEzoPrCGEZO9iQpDqqql2iVQKObGzt47RMPPNwg1Ya9FKUlbkt17370urHpKXlvXBmAPJdTxwqgeicoHcssgQ6YiarqGCCNNqEcUxrcFJssBhXJOJ4Z+sHBDPUbCqGvmJYjsoBuxbqLGvMYfSkgNXznH0fp8yO1OviKt97BSsyyVYu9vt9k8CH8OvCbwAb9W+gx180yA7foyjv/6rvv7qRa/lnbcOmKkH/O+vuZmP/90d2NJx8/OXefsdv8f6eIN/feglfNcVL9whV98kWN7TZHlPk2e/6Go6Xz3B3Xec5P7Dq9x/eBVtJIeuXeDGJz+Hv7jXMly4lbfV7uHfv/b1DP/iT3nobb/Errf+2x3zi28v3DkhVwCdTufz7Xb7tsdzQI8VwqUl1Mk11MIijN00HSiKQnojS5oXhK5K06kIlisKFnfNT4+hLJQC8iQgbOybruZD5bSXT36uCFYVXCWJ4YByqCqFSU0J1hYFS246lSkjyGxJBGjhnb6u3T27zTr9QjhbwZIVOUlMjFAhmSwJjaLMHWOb8bW1u1iuLbGvvoe8Cr7MWQZFUghsrY5ke/raVgghpi5r9dhQVME2UlLsv5Lk2kX2l47Vw6fJMwGJIBQJRmlyIbxroDIovfldEhgNxfbAcoKt2wnhe1Vd0fQtQYRS2FFK/3Of9eYJFTQWqSSltYzGhW+GHCqEuvTwTlTXb9N0en3ng2p4ZVO5gn3LIfVdF274PlGMlBMURm9r6BqFSTX47QRroiqExp+/ERtOroF1jlgHbBSeYN165BTjvKQR+OOMqz5XWhuyPEWur+Cq/mFl35PGiUo5JVh5gRuPkXHE7v0thICTx7qE1f3rag2s0uiWv+ZJHD65jwpbeKv2ScNcKVBz87h0hez4caT0CpbZ8jz49EDp3RO3EGyztIxKatP53TbngW+yXFrn0ymFQNdq2EEfHYS4YDO9EfyzZm3hCVbmn5koUJhYIfoCO049QaquR1UK3YRgSSVoJQH/6sp5ONMkCbVvSI4D6zzBqu4PW1pfUyYUuiYoLWilsbYiWM3N9N+o+pxY7fl7bLEZ0yzcNgIqhWR/fS8b+ci3EZhbIDrzIK7fRTbrFNWmErktRbCszjchWEFFsPr5sPq9al4cKIJIk+flNL6zjyHButzcp7cAz8Kv+H0IeAbww5c7qB3s4NFCsbHOQ7/6NuxwwINPfxl/dJejVQ/4mR+8hbu/dIy100MO3tjkXWv/g/XxBq+8+mW89NCLdsjVNyGi2HDz0/bz6jc/hde99ak8+VkHSWoBd99+ii986DDXH7+CQ/c+myCV/OfeHeg3/K8gJcd/6zfY+J8fe7yHv4NvHA632+3ntdttU/17LnAnXLLZxb8YhPNz1G64EV0F3Jv1FhESRzrK0ShPsKo6o4lFNYCzFoUkFxZrS4w00/oK2G5lbioFaxIEC+mDnInaMQkk1daiiqmCBSYRyMASRxVBkuKSXVmnRK36fy6a4UBzH9fNXoNSPj3QKIkSEqlAK8PJwSlOjU6T2xwt9TnpeEII3PI+8kPtbaTwYpgoHdPrUpIo8A1uZ/QSV7WuACdRSmCqNEEjNVLK6XdKUCkp5zNN2qp0RbFBbOnVFezeMxk45XDTIEXbEqkEeWFJs5JICZSU2/Z9OEy2dZlPtTpfDRaAjOPp/WHmFy64HWySNiUkGLONUNSiBnbvEo2qt9UESWR8X7WKzLfqm+Q7CUOEgPXhiG46pBZpbti/6aoohPQ9xqxFntk08JwQrG0pgkCZjnDWIoKQpBYQJwHGKOLQv57MJyR7F9GR/91ObeEVCEFmM/xtLNFVaqdqzSCUpOh2fSqsVNveU2cdAoGQ2wmWEOK85ApAaoOS/vxO+F5fOknAeUdkUamAmzFLlWZa5oxzX+8VhRodRyA8iZZSTBt+Symm6jRs3oNxqAm0wjmLkHLahkEqvSVF0DLojQkCjQk9yTdSUVRpd/Xa5sLFJCWxP/KfP826IdzS3mGCzVRMgVlYwIgAmedY8kmvYqQQSCXOWaSYpJGGKqyOVbUd2JKyO3mvJoz5sazBuiwFq9PpHANe8yiNZQc7eFRh0xFHf+1XKE6f5r7rns27Ts2wNBvzU99/M/1TA+740jGSWcWHkr8myzNee+0ree6+Zz7ew97BJWB2vsbTnnuIpz7nCk4d73H37Se5585T1E63uPL0MxmHA37/1IP80Bv/Hepdv8PJP/5DAFrPed7jPPIdfAPwi9X/k29OAdBut3+1+tulGF78i8JkFbgofPpREIWAJE8zpBMEWk1TBLcRrNI3G3ZVwGSk3qZ86MDAoFodNpLMuc2AcVpMtT01cGtAOSEigTBIZWnu0UTHBGrkV+LPlyZ3PkyOOflfCslSslidVyIkGC1ZbO7CScve2VluO30ng3xAZvMLmjxIIbDObSeFF4GuCKeTnlRNVAOjJcJGtIIWjpO+HkgZsjKbrqYrJSmKsjIG0duCvrOvE2BxVx26/r0SQhDs2UOwezd2NGJw+1d9LY9WqLxAKkm/l2IdJEE1R1pDfmnB4yR9zk2j6PMTJ08EmhRra5iFC6tX/pj+uqVQOKO3vddKKp54w/On6uAE+xZr7F2sbZvXemzoj3Ji423dS1dQuoKZeshSbZYz6anpMZVRgEPaEmESXJ5PVTkZBJAVU4XWDnwN0NYasiDUBMbXLNZroVcqq0B8s58aKBRZmVVkXhKEmqLIcEKiWzM+3U/6PnJbFRprPeER8vwE+7zzqDVKevIihEBJMTW4AQiWl/24pmpxlVaZZwxGJS0pCI23UJdBiBtvIVhVLZPe4nxzdg2ldRakxFVtk4XSUxV70Muw1reDUBvCkyUh0YEmNnJalwl+noxS5FVqay0O6FUq71ZsI1iNOiqqw6CLlQV2otIJ3yhb2O336dQ0Rmq/gFIdO9jy/E+vr3rtmzZFsN1uLwH/Be+W9Bbgl/Fd7tcuuuMOdvAYw47HHP3VX2Z8/33cv/t63pVfyaE9TX78NTchcst7/qGDUI5b930UKy1vveGHuHnxhsd72Dt4hBBCTFMIn/Wiqzh6/zq33fogR75m2Teu8Y8fP8WNz30z+z/+xzsk69sHb7uQa2C73f7lb/RgvhGYBA0CgZYSrQMkAkqLERpt5DSItlsIFmWJlAo3IUnSeAc4KUGKKmD1CAJFNi6mZGSiXE0I2SRI2xpQThSOmorx5sKgkD7YlvKSFax6M2S3nKFWP5coaeXVIaMFNRNTmwkJVYAQgmE+8sqcuUgDY3sWKbwIwj17KE+MIYymAS1AaBSDNJ8WzEsp2FXfzbjINuvFtKAoQGvFdXNXn5dchpFGKcncYg0TaIqKDMg49gqFEKhajeiKK3HjlKLbRY82EBKGqSfCcTWlXtkoLum65FnzI9SFg//owAHK+YWpMcMFjxlMCJbEnZUiOPn72fApmdsxUw8rghWiFRQ2p3AFURCQ6BijDHnp+6Rt1gkKdKtFfvr0WeMppgpcOSVYm2lsk/33Ldc5cGieux5anyocWwN/aSWlLRBCsLS/wfJMkyN3n8Zah56ZJV9dRaoqRXCLImyt8yYxF1H+zpkT7RWjrPDPtxAC1Wx50r17N8Gu3dV8VttXraZPrI5wNmDXfIIoHVpLZBxTrK9jx+mUYEkptylYclvKnqB0FiHklKxIqZDV8zKqGjM3mzFmUKVWWkFjMUGlxTnXGYeKfOgJVhL6hsdnp+i56nchBVpJZHMZMThOQealcDbTkLcqWKEOpwspQghCFZIWnlxvTQ+eGMlMzlM8hiYXl5si+F+AjwNZ5cD028AvXfaodrCDy4Adjzn667/C6O67ODxziHclt/Ckaxf5mR94EkmgeN9f30o2Lnho/21EM5KfvOXf7pCrbwFIKdl/aI6XvuJmnvv6/ZzedQQN3HVXn89c/Vp6M/s5+cd/uJMu+C2O85Grdrv99Oq18/bJ+pcOM7FGx6crBWEECERZEmvjnb8mKkXhCVZ2/Bj9r3wFLeRUsZgEIjKKkFE8XamWUkybIk/+NtlnQqLmGhHLswlzjS2261UAFG9ZQZZOUDd15pI5amZzJf5iEEJQb4TnTd3WkxTBany1uidXgQq2BFgXIFgTk4FLVLCkCVCzc9W+m383WmKdI63qWJQUNIMGi8mWWrctKlys422r6tNrMYor24vMzPl5mZBiGcXbtguWlgj3H0AYg5IC4exUro0rBeuR9ALcWnfnT3jh0FBGMWZ+/oKvT48ZTMw8JBg9rVV6pJhvRkghmIljr+S4AqlLYuPvh0hVTotCoaprlhXBmo5Fqc1Uuupap4YeWxQsU6WxNRsRSaTRUkxJ86aCtT01LUkCdNW2wFqHqtqDxIHmyr1zLM9uvnfO4e/9+NJbiAitq7RcR2H9vaXimPpTnkq4/8DmdmJTwRrnJaOsoJWELM36e0kbhVn0qu/45ClcdcdIJTBVzZuUYtszJrcqWJPr13rb4gJArRZ5l028il4U7rxpt5P0yyjQ03NdTMHSSuBm5glVQF5m2KlorqbjmyzStGev3kbaJ8/X2enB04UgIZhrRMzWH74G9OvF5ZpcHO10Or9fuTTR6XS+1G631y+2Q7vdvgr4eeCLwD7gTKfT+bmq18gvAvfie2j9X51O5+Rljm8H32aw4zFHf+PXGH3tTu6u7edvFp7Nq553NS99xkHyMudd7/4EvROCtfmH2HtdjTde/8PUg9rjPewdPMq4cd81nP7OU/zV7e9j+ci/gvVlPrvwIg7Ed1G+853AjpL1rYp2u90CXo03XJp8s343vkb4WxKTYKauW8xEIc0gRgmFsYJIe7VI6CptplKwslM+tUoKtYVg+eAzbl8HAoYjH1xqoyinFunbiRVVYGW05NDu5rZxTbYRzrvn5WWOcI5IhyzOHprauF8OFloxo0FGWDhMuOnMFqlwan4QqAspWNUlXCLB2rqtFNsVLIDRxCjgPMebW6yR1MPpCvqlQCYJwfKuC6bjCe37/YjK0CEKFGqSyvWICNb2lKqLKViXfMxJiqCUOGPOUbAuFXGoeep1S540nzD0soyaUURVnU2sI3pZDyUkSRKyik+JU/UGQilcWU7JHmyZl0k25BaCFcVeQaw1KsdN6VNIh2nOatffS0IKFFvSHScmF9X8bVUD52bjbeqotY7ZqMVC4+Lq31YIrae1h1aIaR+7s+vfxBYFa9JHrRGHU7XJGIluzCGDgOLMaVzha/eE2KzBkmeRIomsarAEDu/aKLa4CPrj+jqz0Bhg5AlWaQnMue/3pA4rqYiWkAJ3loBkrdtsx6AkmADTmsHpERkFQshtc3r9/HUoIc9JuZyoWeashYzJ81eWjmv3P7a9Mi+XYE2WMRxAu92uAVddeHMA5oB3dTqdv632uaPdbr8X3/X+Q51O58/b7fb3AP8VeONljm8H30Yoez2OvO2/YR+8j3uSfXzo0Iv4iVfcxJ7dkvcd+SBf+fyDzB65inGtx7NefCXPPfiMnR5X38J43t5ncWTjfj5vvsDqfddzYOUKHqhdy9qBRcb/4y855KD13B2S9S2IfwCOAPdwVh3WtyqmDn7CsLs2Q6jHNNQMkVomEOnm6rYx07oUm6bIwKAKg0smwUilAEzSuyrTgyBQ5PIstWdCni4WjE+CQGuJdUQ+TsnyMcjkogYJjwSzjZCZaxfZWBtx6KoF1ta8AcSk0B3OdRCcDk9sCeQuEZNtxRYSFVQKQDqumtqeh2DFiTdSeCQQQhBdccUFX5dGgxAYYZFKEAeaMi8RsTqv2nfRcxkzNbngEe57/rEZT4qkAaOnhOjrweRaQhWw7kZEJiCs+mpF1f9KSBo1zVV7vXIlwhARBLjRCGk2530r8VRJst2RUXsFcfp69V7f9dAGaebfWykg0TGDbECkIxqBJ0tSimnaWXLdEyjWVpHxdoV2mv72COZXKLV5fwpxXvI+OT9AJBN65QZKKObiFs2ZCJyjVinAZmkZzpwCa6dkUJuJurr92BPS6ITA4h0QvbnNltS8ygRkYoefFz7trnYeF8sJsarFm86HZ/ehclsIVhQoFpoxo+vbjFnD2txbtG999i6weDJ5/oOz1OuJglVUixKPJS6XYP1TZX8bViTpKcCPXWyHTqfzubP+JIEB8DJ8/xKATwB/fJlj28G3AayzDIsRJ++/j97b30HS2+C2+d187Tk38bQr13nPyjt56Mhx4u4Mh448HRk6Xv/657A499iuXOzg8YcQgh+87tUc7R/n+BV3cHtuuGZ4AJjlcwdeTv+vPsxNxtB85rMe76Hu4NFF2ul0tvWkarfb73u8BvONwNa6p8BIlAm8eYUVBEpMjSiE0dhRSrGx4bfds5ekeSVu4z7gXCISVE1IoyTwFuBsBmHibCXrPJi85qxlJjcM77iHOGggao/uwpYQgpm5ZJrGCGwztrhgiuCENKpLD3inZh7yPApWNUcXCoIfbUzIQoBXGeJQU2yUiPojV4uE0ZBlvgbvUXLRFUFAgyZzu24k1tHD7/AwSKIA0Yc40izFXtWLtSdIE2fK6bmFQEYRdjSaplrCdoIV7N130WudvMdpVlS1U4IkNCxE+9lX37NNNRFSUOaV4ttqbUtRnMBtce57JFDGACkIecGUtsliQU03qJsGcTpkuT6PUpLZhc0sHd1sYldPbRuHlJKZuWSaIrl5zKrPlCsobelNSSbuoRX5CiuylJgQgaDb8wp5FJ5LL1r1kOsOzNKsFhqEBFecmyI4UciEEFy9r8XxQcrRXg9KX8N2KfM3ef7PJmBTBauwFEV5yfWXXw8u10Xwz9vt9peBF+NXCH+q0+l0LnX/drv9SuD9nU7na5VhRq96qQvMtttt3el0Lq1KcwffsnDOcWJ4invW7+Xejfs5M1qlm/XoZQPSMmXvyYzv/sQGSer4/BMSPvHEAsTnOXrC599eo64jvvcQFvie73viDrn6NkKoAt564xv5z5//NeTVt/O1rza4YW6Jxobgq7teQP9vPsezgoDmk5/yeA91B48e/q7dbj8P+GSn05k4OrwU+OzjOKbHFHoLyQm0QmgfDBZlQRCIaSqe0AZnhxRrq36/1gyBLLcc56zVXqM4dO0CUgo2Tvqv500FqwrGLqpgVdtaR/3MkN21Zb+y/A1ogzFROODcJsMT7F2oMTsOt6X7PRwmhftb9zFV0DYab9ZgfSMwIQ6RchijiEKFLUqEfuRq0bQO61FSFgHC/ftxRUnwKJArgLlGiDQt5uNZouqYiY6JTUwjqOMKv3AwrV2bWLNv6XMmZNUTzlnM3NxFz7eVeM/Uw20pZWenpE1qsC4G+3UoWLBpo4+U7Jo/f92imD5qjqIieuF50vRkkkz6HW8jKou7zrWJnxCsu9bvRdmSWpBMFWspBWXpiCoF69DMflZOKrLSn3uiUp2NmS0E0ZO07a8757YpZLC5QCKkT2MMwodfQKiZGkYFNIPt1yUrgpiNC+67+wyz8wlLS80LHOXycLkugivA/93pdN7+dez7Anxj4p/4/9m77/i4rjLh4787XSNp1Jub5Hrk7thxEsfpjgNppEGAEFjYAAuB3UAWFhbe3YXdBQIsLC0ssJuFsIFACqkmvcc4dtz7cZObLNnqbaRp975/zIw0stU10qg830/ysTRz751zjmbm3ueec54Te+gMkAk0Aj6gQYKryS1khtlYtZnXT66nqq1rOp6BQbojHSPoYemuDi7b14gF7LlwPllrVvBBlxevI40sdxZ5ZgHPPLwLfzDIVTeUM2WGBFeTTVF6IXfOv50Hdj+Eb+FOdm+7gFWzismoaqKCpbQ/sYs1Tje+JYtTXVSRHAGiwwQ9SimI3vyzgG+mslAjyd5tToQNwxldi8mIRHDa6BrOF7vQDDc1YXO7sXk8OGKJIDAMHD0kIuhKjd59OJ0xgCGC8W3CzY2Y7R2kOdPAAisy8sNzEocInj1MKC4rw91traWB6Ez8kXCNHL+Q7Qj1PkRwJMSDoqk5HqbOKaSuqom0dGtQ8686j+WMX8QmL8By5vWdyn2wpmVMwW2vY1rGlM7H7DY7C/PKAfAHo+tfdQ5xjc2vOjtLYvriJQMK8hOz4PUUrCSKByvRxYR7PnZiAofB8HqjwWRxXnqvGQjjn0/LhEDIxG6zdQb+iQy7Hac3DfB3S6Pe1zGxGeSl5ZDl8nW+P2x2g0gE3J54D1YaOZ4s2mNDKTN7CbC6lSU+BDGhzRLnYMV1BliGQWGZl4K8ntcMS+SyO3tNXma32wiFuhZWHinDHSK4S2v9X4kPKKUKtNY1ve0Q2+Z64FLgHqBEKVUKrANWASeA1bHfxSRkWRbvVG3m2YoXaQw04TDsLCtYzIK8eTgD+Wza1sqBvSd5T80G5radIeLNYMrdn2d+eXm34/jbgjz50Db8rUEuvmo2alFximokUm154RIqpl/KqyfeImfBfjbstnPjhaWkHaimmpk8+6d9XGtzkrOovP+DibHu74DFWusj8QeUUt9IXXFGnsNui6VntnA5bBgOO7k+DxGPC4NgVzCUcOEdzyiWuCBun8OlzlqLyrD3P0QwnkXQbI8GcWmz59B+6NBQqjhoiUMEB5oOfiDiAWbiRaDT0dX+Zz83kjqDokgYT5qLwnSTDoeBI3vwNxI7h9GN4JCp4fI6vZT2kXkyHlDFh+fZfVnRTIuZZyVfGWASj8RA2dNPr0lnIgrT6nXIaWIK8sFIS/cwe0oWruzeE3J1BiiWRTAUwe3s/e/o8mVSmN2A09NPj1vCumhZLl80KI313GVkegiFIt2StriddtqDYRw2W2dCi77Ev25iGeN77eFzJa7NZx/8/MKz2R1dAZY3fXDzIgdjuN86f1RKXUs0OUV8KMY/ET3B9UgptQL4I7AZeA1IB+4HvgZ8Vyk1j2iijAm3GKToX2Ogid/vf5w9dftx2pxcNf1S1ky/jMqqCOteP8r+Y0cpbz3Kp+o24Q4H8KhypnzqM+ecUFpbAqx7ZCdNDe0sXzWDpRdMT1GNxFhx8+zrONp8giMcxVeawzMbDe66rhzvtgqOVRXyzBOaG+wOcufPSXVRxfBsTQyuYib8DTuH3UYoEokOETQMMjI8GHYDM0DnlUxi1r74+jl2mx27zdFj2vBEhdkeHHYDn/esoWQ9TGbvlBB82dzurh6NIWaUGwybYcPtcGNaZlKTGTkS5ofEGYaBy2EjEJs4P5ikGcMRD5jjmSHD9XXR18/tP436uceK92CN/N9mpLhnlGJLz+i8eWBPTydz+YohHy8xUPL014NlJAZYPW8z1B6seJbHvm5mxJ8KhU3CpklmL2u/ATjSvXjdBlh9DxILRKKZE/O8eVAfG34Ze2/nF52bCdHtskMbZKQ5BxQEGQm9ftCVJKS3HixgwIuT9yWe6MJut3X2wI2E4QZYnb1XSqloC0WHYvQaYGmttwC95aj81DDLI8axQ40V/GrXg7SF/JTnzOWO8vdz9HiYn/zhAEerW8gPNHJX23YK6o9juFzk33En2Vdcdc6XTkNdG8/+cSetzQEWnz+VCy6bmaIaibHEbrNz16KPcN+mH9NWtIe05kwefEHz9x9chufNPeiTWTz9+D5u/ICDPFWW6uKKofMrpV4B3iG+uu0ET9MO0eQWhtF1cWI4nFiBWPVj35F2Xyacii4Wm3gXf27OrH4vXJwOO0U5Xb0HXUME+0hykXCR5cjOiR4nycPG+jIzq7Qrj2SSdKZpP+siMNfnoaktQF5WGr4RvCueyIhl6jM72jGDQcLNzdgzM7ulHh+o+DC6ZKRoTxXDbsdVWJi043XrwXL1fbncGSz0MQ+rMw3+YOdgxQLpvj5r8QAvnmjF3UcPkj19YEvTzMicRk17LVOMHDpoir1QHz1jsSA0wzuwoKVrWKMF9oQerLM+Ww5b1zICybhZEu91G8neKxhigKWUmgGEgKe01rec9dy/JqNgYnLZVL2V3+17FBOLD8y9iWJzPj99+CDHz7SSFWrlI9ZhplfuAtPEu3ARhXd8FFdR0TnHqa5s4s+P7q0zYPAAACAASURBVCLQEebCy2dy3kUzkpYRSYx/2e4s/nrRHfxk23+TXr6Thq0r+dmfdvH1j67A8dxm9pzM5OnH9nLDBwwK5pWmurhiaNYAv439bJz174Q1Z2pW15AeohffZkd0aF48GHJkZZOxfHm3tNUAGc7BrwVoz/RhT0/Hnt7Hmj4JF+tDGbY2XEOpV3/ivVNnz7MqLc4kOo189Bg2G/bMTMLNzYTOROcpO4fQewUJQwTlfNnJkTD/0NXHkDvoPgerN8PpwYrt2Ps2hhFdA8vsPcFFnGOAAVamK4NMVwYRf1vX6/TRw5mT4aKuyUmeb2BJTYyz2syMlb2nzH5Om5NgJNhtkeehimcb9WaMwQALeBx4ALgnFmy1x+ddaa3/OVmFE5PD6yfW8+jBp0hzeHh/2QfZ8q7JQ3ors/yVfNI6Qf6ZI2CaOIuLKbj9w6QvXnJO0GRZFnu3V7H+5YOYpsWV1ynKl5SkqEZiLJuXM4eb51zHE4fWUbR8D6c2LuE/H93BVz9yEY6n3mbHSS9PP7aP6281KC6fkeriisH7ktb6icQHlFIvpKowoyXtrLTINrebSEssMW/iUD1nci4q7BkZpC/qOzFM4ve03TcymbpG29lJP1LN7ssi3NxMsKoKAEc/mfF6Y0yAHqxkiwdCLmf/837i27Y0dRCJWD32jnTNwRpcOYz4MNx+djQMOrPy9RVg2T0ePKVl2Ly9z2frdtzEwK6PXjSvx8mS2QMP8DszH8aWwgp0RHvfzk4XD9FMoMFI8JzsjUPhy/ZgWRYZAwwEh2qoAdZmrfUvlFL/AtwGfA94KHnFEpPF+sqNPHrwKTKdmSzsuJo3HtjMzJYT/F37KTyh2IKRM0rJWXsNmSsv7DE7UigY5o3nD3Bw7xk8aQ7W3LiAGbOGdpIRk8Oa6Zdxuu0Mf6l6lxkrD3F8o+L7D2/jK3dcgv3JN9l60sOzf9rPdbcaTCmX+XvjydnBVcxKokMGJ43EYWLJzAw3WM78fGxud0rLkEwelx2bYZA2gFTRo8Hh8xEgutaYw+frzKA3WIbLFV0DawjDCycqR3zB237mX0HXzYSGOj8NdX6Kp2aRmdX9An6oPVjxz3JnuvbetjMMTMuKZlruZ26Rq3gQSb+6rfeVvPd9vM3iPVjB2DIHrh7W0IrPw0rGEEGH005eYR8970ky1ADLAtBaf1MpVa617gyulFJurXWg912FgIi/je1732Dbjue5ssGi6ESY/Lb/xk70VoYtI4PMS9aQdelleGb0PlTr1PFGXn9e01TfTtEUH9fcvGDE70qI8c8wDD6kbqWuowHdcIhZF6RxZNMM/uMP2/nyHZfj+NOrbDrhYt0T+7n2Jpi2QIKs8UIpVQ78EJgL2IkOD8wBfprKco02mzvhezCFvS1psydW0hi308755YVjpgfLlpGBYbdjRSJDSm7ReRynMzo6pI/kCJON22XH63aQ4+s/6Dx73lB1ZRMut71bEoV479Jgpy3Ys7Lwls/Hntn3ENT48MBcn7vPOViDlpjQJYkJXM4eVhmMzx/rIcByJTHAGi3JyF169oDT79NHkgsxeVimSbiujsCpSoJVpwhWVxM6XU2wuppISzOZwDWxbSMYBPOnULR8CVnnLccze3afdzw72kNsePUw+3dVA7B05TQuvGLWiK7KLSYWu83OJxd9lB9v+yUnW/cx+3wHhzdP4bu/28o9H7gc2zOvsvFkGn9+SvMeC0oXSpA1TvwT8M/AZ4F/BUqBD6W0RClgeBJ7sMZGb8tEMVaCK4herDuysgk3NuDIzRnWsWweuTmZyG6zsWT2wJKyJPZKFU3xcfpUM2eqWphWltNtjSfDMAaf5MIwOlPPD8SU/OTOPew2bDSZ3yXxNO2xnr1AIIzdbuuW+j0uvlh4MuZgjZahBli3KqWWxX6eq5T6S8JzZUiANSmFGxvxH9hPu95Px7FjBKtOdWWxijMMItk+TpS4qM90UtM2m8KZC7n6hlXk5fc/Rj8cirB76ym2bjhGoCNMXmE6l79XUTRlYozvF6PL60zj88s+yX9u/QWn/LtQFzjQmwr51m8387e3rWbVK2+yoTKd558+wDURi5lLZE7WOHBMa71ZKdWitT4GHFNK3ZTqQo22bj1Yo7Quk0gNz8yZWJEZSZtfJwbPjJidP/uy02hrDdLa3EFrc6BzqKBlnbuIbjKVFmUSjlj9Dg8ctMQerCQO9Y23hWlBJGISDkV6zeznc2VS63CTPgKJa0bKUAOsvcCDvTx35xCPKcah4JkztG7eRMvmdwkcP9b5uOFw4Cwqxj11Gq4pU3BNmYqVW8Ajhw+x1XoRrDTy6i7n45dezOyp/d+ZiYRN9O5qNq8/SltLEJfbzsVXzWbx+VOxTZCx/SI1Ml0Z/O2yT/Kjrb/geMc2FlyyiH3rp/L9h7dz59UruNjcyIZTPl5Yd4g1wTBzz5+V6iKLvpUppdKBdKXUzUA90YXtJ5Vuc3HG0V1fMXiGw9Hj/GQxerwZbjjTSnHseiY7N43W5g462kOdAVa8B2uklOSNTPAR73WzLIteF/ka4nEh2oMVHx7Y0/wrgHSnl8X5C5L22qNhqJ/I/6e1/ktPTyil9DDKI8YBKxKhdcd2Gl95iXa9P/qg3Y534SK85QtIU+XRdVZiX/jhiMnr2yp56qUtRMo2YhiwJu8Wbr76gn6HWrT7g+zdXsXuLZX424I4HDbOu2g6yy6cgSdNxoqL5MjxZHPvis/x8x0PUNG6m/LLAhzdNJNfP685b85sLptWwcaT6bzy0lHCwRDzL1apLrLo3VNEA6ofAE8CucAXUlqiFJsoCSaEGKvcHgdzF3QtHRNPBR6J9WxZloVlWuN3GoPNhmGaSQ0QE5NcxDMIuj0T50bBkGrSW3AVe25SZWqaTCzLonXzu9Q8/gjh2loA0srn41t1MRnLlp+zeJ1pWry7/wxPvHmEmlAV7vLN2OwWf73gTpYXL+rztRpq29i5pZIDu6oJh01cbjtLL5jO0pXTSM+ULEci+bLcmXxh+Wf41a7fcqDhIHnn1+OqXMm2Q3Uc8uZxS95pDtb6eP2NU4T8HSy5emmqiyx6oLX+Y8Kv5SkryBhimZFUF0GISSU+jygSNmms91N3phXTtHAMICPhmGSzJX01wXis1tTQ3hlgTaQb5xMnVBQjKlB5kjO/f4h2vR/D4SDr8ivJvupq3FOnnrNtKGyyYU81z71zjNMN7Tgym0hfsAXLMPnEojtYXthzcBUKRTi8v4Z9O6qoPhldNTwzy8Pi86cyf0lJr13HQiRLmsPD55fexdNHnufl42/gLHyF5VPOZ/emLH7rz+VSqjDMPNZvbiDQtJ6Vt61OdZFFjFJqETAP+LPWukMpdSVwD3Ac+BetdUNKC5gCht2GFTGxgqFUF0WIScVmM7DZDMJhkw5/KCFFe4oLNkQ2pxPLMvvfcDDHjM3B6mgPYbPZKJmWNaGu8yZOTcSIiPjbqHvqSRpfewVMk/QlSyn44B24iorO2ba+uYPXt1fy5vZTNPtD2G0Gy5c5OOLZSsiK8PEFH2J54ZJz9qupbmHvjioO7T3duQ7CtLIcFiwrYea8fJljJUaV3WbnljnXMyurjN/vf4x9wQ0UXZRPdssS3t5ezOy2GgpdWWw+CE2/eo6r7roGmyzOORbcB+wE/qyUygGeAO6PPfdTJuH8YFdRMYFTp7BnjvyaL0KI7uwOG5GwSdjeFZiM5ByskeSZM7crz3ySJLZFboF3wo1OkgBL9MgyTZr/8ja1jz9KpKUFZ2ERBR+6g4wl3YdFtQfCbD9Yyzt7T7Onoh7TsvC6Hbz3ghnMn2/wmwMPEjJDfHzBh1hRtKxzP39rgIN7z3Bg92lqz7QCkJ7pYvGKaZQvKcaXnTaq9RXibEsLFjI3eybPHHmRtyo3UOt8lSmX5GE0z+Po1jZmB0McrPdR+50nWPOJyymYWpDqIk929VrrrwEopT4KbNJafz32+68HcgCl1NXArcAZwNJaf/Os5z8I3ARsJ7p48W+11s/EnrsIWAuYwJXAJ7TWJ5JRsaFyTZuOIycXe4YEWEKMNofDRnswRCjUNUR3JLMIjiR7WvKvyRJjTV/WxLvmkwBLnKP9yBFqHn6IjoojGC4X+be+n+y178EWW4CwqS3IvmP1bDtQy45DtQTD0bszZcWZXHHeVC5cUMTBpgM8sPshQmaYTyz8MCuKlhEKRTh6sBa9+zQnK+qxrOiXTdncPBYsncL0WTnSWyXGFK/TywfVzVw2bRUvH3uDd09vo969AcfFDqpaplKyo4gGZz7P/c+buKd4ufDG1ZQVy5IBKdKS8PN7gcd6ea5HSikv8AtgodY6oJR6XCm1Rmv9SsJmacBXtdbHlVLnAY8AzyilfMCXtda3xY71MNHshSllGIYEV0KkSDyhRTghwIpEktsLNJ7FF2fube2r8U4CLNEp3NxM7Z8epfnttwDIvOBC8m67nUa7l62HGzhwspF9xxqorGnr3Kco18tFC4q4cEERxbleAN6qfIc/6idw2BzcteBOclum8Orm/RzRNYSC0S+awpJM5i0qYs78QtK8snaHGNtK0ov46ILbuXH2e9hYtYWN1VuotI5x6qJjLNkxnzZmEjzTwYb7f8H/lc9i1ZJFrFKlpLsm3l25MaxAKeUGphFdw/yzCc+dO1n0XKuIrqEVX7xvPXA90Blgaa1/k7D9HKJLlgBcB7Qqpe4FMoC9WuvEAE8IMcn0FDTEkzkISPO6KJ6ahTdjYl4DSoAlCIdC1Lz4Ei3PPQMd7QRzizi85Gr2GXmc+O1u2gNdd1+cDhsLynKYX5rDopl5zCjK6Fql3DJ55sgLvHzkLQpaSllirmTL7xsJBesAyPC5WbxiKvMWFZEzQus1CDGSst1ZvKfsKq4pvZKqttPohkPowsP4t+4hvbqcRu9Klu3ewaGmN3iq2oNhd5Ll9pHlzsTjcGM37DhsduyGHbvNjg0bdpudS6dexPTMgcQAog8PAseATOA+rfUZpdSy2OMbBrB/Id17uppjj3WjlEoDvgFcAXwk9nApcCHwSSACvKaUqtNav9bbi+XkeDtTOQ9HQUHmsI8xkUh7dJG26G6028MKW1ixeMrlcRDsCOPLSRsTf5exUAaY2OWQAGuSeWnzCZ7feJxQ2CQcMZnSXMkVZzZRGGykw+birfyVbM1SWCdtGDRSnOdl8awMZhRlMrPEx5ypPpxnXRQEA2Eqjp3hle0baT8N89vWYmBQTRuZWR4WLI0mqyieljVuJ3gKkcgwDKZkFDMlo5grp1+CucTk4JETrH/iACezluE7M5X3H9rIjtlhDs1spcHTgEXvQ0N8rgwJsIZJa71OKTUD8Gitm2OPbQcGmk//DNHgLM4Xe+zs12kHvqKUmkM0kJpFNBjbprUOASilNgCXA70GWA0N/gEWq3cFBZnU1PQ7+nHSkPboIm3RXSrao7mlneaWdgDyvRn48jy43PaU/13kvdHdcNujt+BMAqxJxmYYOB02SsJNnH/qHaY0HscCKqcvpvq8q5iRn8PKnDQKc9IoyU3H7YoGU5ZlEQxEaGnsoKG2jYZaP/W1bdTXttFY58eywCCHNMOisCSD0tkFzJqXT25BugRVYsKzGTbU7FJKPzeFt57bx6EDsM99LeroDi7ZdYidmbPQBXM578J5XH7eFDxug7AZwSI6fzHPk5viGkwMWusgEBzi7huAUqWUOzZMcDXwc6VULhDWWjcrpb4E/EBrbQEngXyi87JeAz6WcKxS4Jmh1kMIMf4lLirscNhlOsQkIwHWOGRZFu1tQfxtQTraw3S0hwh0hOhoDxMOR4iELcyISThsdq69ENsRs6WFS1urCNXV0eiaTsvcxXjKyrClZ1BoAXXtNJxu5UwwwrZQhFAwQjAQob0tSDh87hoIhsOiNb0Bf2Y9i+bN5Prll+F2T5yF4oQYDE+ak7W3LmHuoVre+PN+jhjLOZWlmFW3lVUHnqTqWB5PvTiLootWcuVVS/Glywl3rNBa+5VSnwV+opSqAXZqrV9RSn2PaMKK+wA3cL9S6jgwH7gn1lvWrJT6v9i2IaAK+ENqaiKEGAsS52A5nBMviYPom2ElOa/9aKqpaRm/he+HaZo0N3bQUOensc5PY72f1uYALU0dtDZ3jEomGsMAp8uO0+XAm+7Em+7Gm+EiOzeNBmcNbzS+QY1VTaE3nzvn387s7LIRL5MQ40WgI8SWvxxn95aTRCIWmfiZdnorxS1HsGFS58oiPKucuRcvJ3/RfBy+kcs+aHa0E2nzY8/IwOYee2uNFBRkTrpu7mScv2SoT3fSHl2kLbpLRXuEgmGOHorOQS+bk4/TNTbWS5T3RndJGCLY4/lLerBSLBSM0Fjvjw67q/N3BlRNDe3de59iPF4nuQUZZGa58aa78XideNIceNKcuD1ObGYI/G2YdTWEK48TPH6UwInj0QXiDIO0+QvIuvQy3KUzz1mPIT6Uz+G04XTasTts3Yb3WZbFwcbDPHtkHYcbK7AZNtbMuIwbZl6Dyy534oVI5PY4ufiq2SxeMZXNbx9F765mX9ElVExbTX5HJSWVm8nbv5Hm/RtpBoy8fDLmzsVVMgVXYRHOgkKchQXYvb0nhLFME7O9nUhLC+GGekL1dYTru/4NN9QTrq/H7OgAwFVcQtm/f2eUWkAIISYv6cGa3CTAGiXt/iANtf5YEBWdt9RQF+2VOpvLbSe/OIMMsw17xR7SQy2kmy14wn7sVgSwogGTRexnsLAIhEJYge7Hs9ls5M6eQ+bKC8hYcT6OrOxBlz0QCbKjZjdvntxARfMxABbnz+eWOTdQ5JXFVYXoS2aWhyuvL2fF6lJ2b61k344qTtqncXLGNDxuoLWGrObjlDZVYL1zbrI7w+nElp4eDbRi68RZ4RBmaxuRttbod0EvbF4vjrz82GKz6XjnlY9UNYUQQiSw2WzYbAY2myFz0SchCbCSJByOdA7ha2nqoLkx9m9TO80N7XS0n7v2gTfDxdTSbHLyvOTkpZOd5yUnz4s3w4VhGDRveoc6XRHrfQKcdjAc0Z8xYv8Z0bF8Bhh2B/asbBw52bgKCvHMmo1n5qxBDwkyLZMafy0HGo+g6w+yp14TjETnjS/OX8B7y66izDdj+I0mxCTiy07j4qvmsPKSMg7vr6HiQC0njjYQcRbQkVfA6bwVhKwIViSI1whQ5AqSQxuuYBv29haMNj/RuyoWNpsTm68EW7EXe1oaNq8Xe2YWdp8Pe1YW+dMLSCvMw+YZ2XW4QmETu93AJhcPQghxjuxcb+eCumJymdQBlmVZNNb7CYdMLMvCNKP/W2bXz5GwSTAQJhiMEIr9GwxGCLSHOhNN+NuCBBPWikpksxlkZnkompoVC6S85OSnk53rxe3pu/l9F1yE74KLklbfYCTEljM76Ah3ELEimJaJaVkEIgFag620hNpoCjRT3XaaoBnq3C/Pk8sF05dzQfF5FEqPlRDD4nQ5KF9SQvmSEkLBCJXHGjhd1UxNVQvVp5oJBeyESaMyApUAdqJL12b0csD22P918QeamF3u4pqbpw25jJZl0ewPUdPYTm1jOzVNHdQ2tlPb1EFzW5C2jhD+jjDBsMm8aVl89c4VQ34tIYSYqPIKe/viFhPdmAuwlFJXA7cSXX/E0lp/c6Rea/vGE7zz+pFhHcPjdZLh8+BNd5Ge4SIzOw1flofMLA++bA/eDPc5c51SZX/9AR7a90if29gNO8XphUzNKGGmr5Ty3DkUpOVL97YQI8DpslM2N5+yufmdjwU6wtTUtLJt32mOnGjkTK0fwwIbYDcMsjJcZKY5yUhzkua243LY8bjsOONzJg2DWSq/19e0LIv2QJjWjjAt/iB1TR3UNXVQ29RBXXP039qmdoKhc7OGAqR7HHg9Dkry00n3OFgyu/fXEkIIISajMRVgKaW8wC+AhVrrgFLqcaXUGq31KyPxemVz8/G3Roe+GbFxsjab0e1nm93A7XbgdDlwue243A5crui/Hq+z2zoHY93CvHI+u+QThM0wNsOGzbBhN+w47U4ynelkujJIc6RJMCVECrk9DqZNz2ba9Oh8SX9HmH3H6tl/vJH9xxvYVduG1dJxzn5Ohw2v24HTYcN5uKYz4ArHlmwIR0wCIRN/Rxizj3lb6R4HxbleCrLSyM/2kJ+VRkF2GgXZHvJ8HlzOsZEJSwghhBirxlSadqXUGuBrWus1sd/vBaZpre9NbcmEEEIIIYQQon9jrfulEEhMRt8ce0wIIYQQQgghxryxFmCdATITfvfFHhNCCCGEEEKIMW+sBVgbgFKlVDyv+GpgXQrLI4QQQgghhBADNqbmYAEopdYC7wdqgNBIZhEUQgghhBBCiGQacwGWEEIIIYQQQoxXY22IoBBCCCGEEEKMWxJgCSGEEEIIIUSSjKmFhsc7pdTVwK1EMx9aZ88fU0p9ELgJ2A6sBH6rtX4m9txFwFrABK4EPqG1PjGKxR+0odZXKXUFcD/ReXYQTcX/iNb6G6NU9CEZ5t/3h0CI6E0NL/C3WmtzFIs/aMOs731AEPAA1VrrH45m2Yeiv/ombPcR4CEgU2vdOph9x5Jh1rcY+HdgqdZ65SgVWcSMx/dbsiml3gHiK25HtNZrlFK5wH3AEWAu0XU1T6eqjCOpp8+gUsoD/AdQSbT+92mtD8SeuxM4D4gAh7XWv0xJwUdIL+3xceAzdL1PHtBa/1/suQnbHkqp2UTbYiswDajTWv9rX58PpdSXiWbuzgFe1Fo/nZLCJ1kfbfEN4IqETb+ltX4ptk9S2kJ6sJJEKeUFfgF8MRYoLIktnJwoDfiq1vp7wLeBH8b29QFf1lr/m9b6W8CngfpRK/wQDKe+wCngTq31FVrrK4hmj/z1qBR8iIb5970QWKO1/orW+svAJcCqUSv8EAyzvjcD87XW/6y1/gfgI0qp5aNX+sEbYH1RSs0HFgxl37FkOPWNuQR4CjBGspziXOPx/TZCno+fQ7TW8fp/G3hZa30f8CTRYGOi6ukz+AXguNb6O8B/Ag8AKKWmAV8CvhT7Tv6kUmruKJd3pPX2nfShhPdJPLia6O2RC/xBa/19rfU9wIeUUivo5fMRu0a5Umv9T8AXgR8opbJTVPZk660tSHhfXJEQXCWtLaQHK3lWAce01oHY7+uB64FX4htorX+TsP0cYG/s5+uAVqXUvUAGsFdr/diIl3h4hlzf+B01AKVUEeDWWh8b6QIP03D+vnVAhlIq/nmzgIoRLe3wDae+c4HjCc8dAa4iegdprOq3vrEL238A/gb42mD2HYOGU1+01o/FeqLF6BuP77eRsFgp9RWiN3re1VqvI9oO34o9vx54MFWFG2m9fAavJ/ZZ1VrvUkotjd3AfQ+wRWsdz2q2AbgWODha5R1pfXwnfV4pVU105MjPtNb1TPD20Fq/e9ZDNqCN3j8fNxBtA7TWIaXUPuAyYNz3YvXRFiilvg4EADvwU621nyS2hQRYyVMItCT83hx7rBulVBrwDaJdkx+JPVwKXAh8kmh39WtKqTqt9WsjWN7hGk59E91N9G7sWDfk+mqtDymlfgU8SnQI6Mt0DY8cq4bz910P3KaUshH94loG7BvBsibDQOr7LeDftNZBpdRg9x1rhlNfkVrj8f02Er6rtd6klLIDbyqlWujeNs1AjlLKobUOp6yUo6u398Zkfc+8AazTWtcopa4jeg5ewyRqD6XULcALWuv9SqkePx9E6554jp6Q7XFWWzwKHNVatyml7gZ+CtxFEttChggmzxkgM+F3X+yxbrTW7VrrrxC9GH1NKeUk+gfcprUOxeblbAAuH4UyD8dw6gtAbEHp87XWb490YZNgyPVVSr2PaJfzLVrr24CZwKdGo9DDMOT6aq3/AvwA+Gfgc8C7dO/RGov6rK9SajrR8di3K6W+Gnv4XqXU+f3tO0YNp74itcbj+y3ptNabYv9GgLeIzl1ObBsf0DCJgivo/b0xKd8zWusKrXX8ZuarwOWxgHxStIdS6kqin4svxh7q7fMx4dvj7LbQWu/RWrfFnn6V6CgbSGJbSICVPBuA0ljQALAaWKeUyo110aOU+pJSKj4++CSQT3R4w2tAWcKxSoEDjG3DqW/cHcDDo1XgYRpOfacD1QnHqiKa/GEsG3J9YxOtd2mtv6G1/hGQBzwxyuUfrD7rq7U+obX+uNb6vtj4dYAfaq0397bv6BZ/0IZTX5Fa4/H9llRKqXKl1F0JD80FDhFth/j81knXLiTUXym1GNihtW4GXgBWJHxfrwKeS00RR49S6jsJQ/PnAhWxgHzCt4dS6nqiQyHvAYqVUqvo/fPxLF3vGwfRebdvjmqBR1BPbaGU+n7CJvHvD0hiW8hCw0mklFoLvJ/o8K+Q1vqbSqnvAfVa6/ti4z2nEr2bPx9Yr7X+VWzfu4kGWSGiF+Vf0mM/y9yQ6xvb/8/ATVrrUAqKP2hDra9SKh34JXCM6BDQmcBnEu6ejEnDqG8+8DjRGwdO4CWt9espqcQg9Fff2DYFROck/Vvs/19qrSt72jcllRiEYdb3cuBjwHuB/wJ+oLVuT0U9JqPx+H5LJqXUFKKZaLcSvcPsBO4FsoHvEv2unU00Cc9EzSJ4zmcw9tR/EL2JNwf4tu6eRfB8ouegA3oCZc2DXtvj08AionOeFwM/1lq/E9t+wrZHLInDG0D8hlg60c/L0/Ty+VDRzHk5sf+f0xMni2BvbaGIzss7Q/S98c8Jn5WktIUEWEIIIYQQQgiRJDJEUAghhBBCCCGSRAIsIYQQQgghhEgSCbCEEEIIIYQQIkkkwBJCCCGEEEKIJJEASwghhBBCCCGSRAIsIYQQQgghhEgSCbCEEEIIIYQQIkkkwBJCCCGEEEKIJJEASwghhBBCCCGSRAIsIYQQQgghhEgSCbCEEEIIIYQQIkkkwBJCCCGEEEKIJJEAS4hRppT6hVLqY6kuhxBCCDEYcv4SiU81qQAAIABJREFUYmAcqS6AEJPQl4COVBdCCCGEGCQ5fwkxAIZlWakugxBCCCGEEEJMCNKDJcQIUUrZgPuBxUAEOAi8BXwTeF1r/fHYdtcC3wUaYs/fCTQCnwa+ClwH/AuwGlgEfAVIAz4OFAC3aq0Pxo71T7Ht2wE/8Gmt9akRr6wQQogJQ85fQgyPzMESYuS8FyjTWl+itb4cyAPeAH4T30AplQ88Cnwmts0mYAbwBa31Jq31rUA1MFVr/T7gXqInvRat9VXAa8DfJ7xmI3Bx7LnHiJ74hBBCiMGQ85cQwyA9WEKMnAZgsVJqLfAK8GEgeNY21wOntdZ/AdBaP62Uau3hWC/F/t1N9K7fy7HfdwK3J2x3AngtdvfRB7iSUREhhBCTipy/hBgG6cESYoRorTcQHSbxFeAY0cnBxlmblQC1Zz1W38PhWmL/hmPHTvzdBaCUmgs8AnxZa30Z8AXAO7xaCCGEmGzk/CXE8EiAJcQIUUplER2rfjVwBfBXwNnpbauI3tFLlDvElzwPaNZavxv73TnE4wghhJjE5PwlxPBIgCXEyLmF6B1AtNaHgZOA/axt1gGFSqnVAEqp9xGdADwUh4AcpdS82O/vHeJxhBBCTG5y/hJiGCTAEmLkbADWKqVeVUptAg4DIaLZk96rlPq61rqW6Bj0XyilXgcWAqcAC0Ap9VugGPiRUkoBf4g9/pRS6gKiWZqWKaW+p7XeCnwbeFEp9RSQARTHjiGEEEIMlJy/hBgGWQdLiBRTSuVqresTfm8FVmqt96WwWEIIIUSf5PwlRM+kB0uI1HtSKeUBUErdCpwmuuaIEEIIMZbJ+UuIHkiadiFSbwPwllKqnejQitu01uEUl0kIIYToj5y/hOiBDBEUQgghhBBCiCSRIYJCCCGEEEIIkSTjeohgTU2LdL8JIcQ4V1CQefYCphNeMs5fOTleGhr8ySjOhCDt0UXaojtpjy7SFt0Ntz16O39JD5YQQggxDjkcZy9LNLlJe3SRtuhO2qOLtEV3I9UeEmAJIYQQQgghRJJIgCUmNcuyCEZChE1JeiSEEEKI5AmFTcIRM9XFECkwrudgCTEUpmWy9cxONlZvoaLpOO3hdgCyXD5mZs1gSf5CzitcjMvuSnFJhRBCCDFe7TtWj91uY2FZbqqLIkaZBFhiUqltr+M3ex6movk4AIXefMp804mYEU77a9hes5vtNbt55MCTrChayuXTVjM1oyTFpRZCCCHEeBMMmTikA2tSkgBLTBqHGiv45c7f4A+3s7xwCTfOeg+F3oLO5y3Loqa9lk3VW3mnagvrT21i/alNzM4q47zCJSzKm0+BN6/HY4fMMKfbznCqrZrK1ipq2usIRUKErQiZznSmZ05lQZ5iSnoxhjHpEqYJIYQQk44FmLLe7KQkAZaYFA40HOK/dvyasBXhjvLbWD3lwnO2MQyDQm8BN8x6D9fNXMueuv28fmI9+xsOcrjpKI8dfJpMZwbF6YXkpUW7++va66ltr6cx0IRF71+iW87s4MnDfybXk8PFJRdwxfSLSXOkjVh9hRBCCJFapmlhk3uqk5IEWGLCO9lyil/ufBDTMvn04o+xOH9Bv/vYDBuL8xewOH8BDR2N7Knbz946zcnWKg41VnCw8QgABgZZbh+zs8so8hYyNaOEKenFFKcX4ra7sRs2GgPNHGo8wp66/eyu28ezFS/w+sm3uW3ujawsOk96tIQQQogJxrIsLCwsS87xk5EEWGJCawv5+eWuBwlEgnxi4R0DCq7OluPJ5pKpF3HJ1IsACEaCNAaaAYscdzZOu7PP/fPScshLW8GFJSvoCHfwxsm/8MKxV3lw7x/YWbuXD6tbSXd6h1I9IYQQQoxB8TEtMkRwcpIAS0xYlmXxu32PUt/RwHUz17KiaGlSjuuyuyj05g9pX4/Dw3vKrmJF0TIe3PsHtp3ZydGm43xu2V2UpBclpXxCCCGESC3TjAZWEmBNTrIOlpiwNlVvZUftHuZmz+LasjVDPk5re4iaxnbqmzuStp5FflouX1z+Ga6buZaGQCM/2PJzDjYcTsqxhRBCCJFaiXGVBFmTj/RgiQmpKdDMYwefxmV3cef827EZA7+XYJoWuyvq+cvuKvYfb6S5Ldj5nGFAWbGPpXPyuHB+EUW5Qx/aZzNsXD9zLQVpeTy071F+tv1/+Oj82zm/+LwhH1MI0Tel1NXArcAZwNJaf7OHbW4HvgPco7V+NvbYbODfga3ANKBOa/2vsee+AVyRcIhvaa1fGsFqCCHGOCshqLIsK3oBISYNCbDEhGNZFn/QT+APt/PBeTeTnzawBf4sy+Ld/Wd46u0Kqur8AORkulk2J590j4OwaVHb2M7R6hYqqpp58q0K5pfm8L7VZagZOQBEWltp3bqFjqNHCDc1gWHgzM3FkZdP2lyFp6wMw9Y92LugeDlZLh+/2vVbfr33YRqDzVw94/LkNooQE4xS6kpgOvAwcL7WesMA9vECvwAWaq0DSqnHlVJrtNavJGwzE6gBTpy1ey7wB631U7Ht9iql1mmttwBora9IRr2EEBNDtx4sE+wyZmxSkQBLTDg7avewMzY0MJ6Yoj/NbUF+89x+th+qxW4zWL24mKuWT6OsOPOcLH/+jjA7DtXy1s5T7DvWwL5jDcwv8fK+yAFs776FFQr1+jp2n4+M85bju/gSPLNmdx5b5c7h3hWf5f7tD/DEoXW0hfy8b9Z7JcOgED1QSn0VuB5oBX4HfFAptUpr/cN+dl0FHNNaB2K/r48dpzPA0lpXABVKqX9J3FFr/e5Zx7IBbQll+joQAOzAT7XW/kFXTAgxYZhn92CJSUUCLDGhhMwwTxx8Fpth48Pq1gENDTx+uoWfPr6TuuYA5TOy+fi15RTm9D70z+txsGpRMasWFXO4sok3nt/Iwnd+hxFqod2TSd57byR/xXk4cvPANAnV1xGqrqZtz27adu6g6Y3XaXrjdZxFxWStvoTMiy7GmZvL1IwS/n7F3fxs+//w4rHXaA228eHygdVBiElmhtb6UqXUf2mtI8AXlFI/GsB+hUBLwu/NsccGRSl1C/CC1np/7KFHgaNa6zal1N3AT4G7+jpGTo4Xh8M+2Jc+R0FB5rCPMZFIe3SRtuhutNujrT2E70z0HkxeXgYe99i55Jb3Rncj0R5j568tRBK8cXI9tR31XDn9EorS+79u2nO0np89votAKMItl87k+ovLsA2i16i44RiXbnkMKxxi37TzWOeaj/2wm/cVm6wt8eCw27BnZOCZUUrmBRdimSb+fXtpXv82rdu2UPunx6h94nG88xfgW30JOcuWc++Ku7l/+//wl6pN+MN+Pr7wDpw2+agKkaAp9m/ibeGBrNx9Bkg8k/pijw1YbGjilcAX4o9prfckbPIq8OX+jtPQMPwOroKCTGpqWvrfcJKQ9ugibdFdKtqjrSNEc0s7AGdqWkgbIwGWvDe6G2579BacjY2/thBJ0BJs5bmKV0h3eLmu7Op+t99+sJafP7kLgLtvXsT55YO7ke0/oDl1/0/BMJhy9+eZs2w5OTureOz1wzz62mHe3lnFHWvnsbCsaw6YYbORvnAR6QsXEfH7adm8ieb1b+Pfuwf/3j0YDgdpqpy/XlDOOjPEtupd/Ff4f/n04o/hcXh6LYtlmph+P2YggBnowAqGsKV7cWTnYHP2vU6XEOOQVyn1NWCGUuoDwDVAeAD7bQBKlVLu2DDB1cDPlVK5QFhr3dzXzkqp64FLgXuAEqVUqdZ6g1Lq+1rreFA1Fzg0xHoJISaIeJp2kCGCk5EEWGLC+HPFy3REOvjA3Jvw9rNw7/5jDfz8yd3YbTb+9rbFLCjrPxGGZVmcPtWM3n2a6uP1tNQ0YU17P74cL9Pqsphb3cJlS6ewfF4BT7x5hNe3VfKDP2znfFXAh9bMJdfXPUCye71kX3YF2ZddQbC6muYN62ndvg3/nt349+xmNbDKZtCSVsfWzB1MK5yFw+XBsNkwg0GsQIBwSwuR5iYiLS3dZ9QmcOTn451XTuYFF+BdsOicJBtCjENfAb4GFMV+fg74dn87aa39SqnPAj9RStUAO7XWryilvgfUA/cppQzg60Ap0bldIa31C0qpFcAfgc3Aa0A6cD/RoC2slPox0d6wxcDnkltdIcR40z1Ne+rKIVLDGM9RdU1Ny/gtvEiquvZ6vvnO98n1ZPNPF34Ju633uQ3HT7fw3d9vJRgy+cIHlrJwZv/BVe3pFta/fIhTJ6Ijk2xESAs0Y8/Opi1kJxKOro81tTSbS9bOJTc/nWPVLTz0kuZwZTMup42150/n6vOnk5Xu6vO1QvX1tOt9tB85QsexClpOV+LwB7D18G63paVh9/lw+LKwZWRgc7uxud0YTheRtlbCDQ0EThzHbIuOA3dPn0HeTbeQvnSZJNAQY0ZBQeaw34xKqRKtdVUyyjMaknH+kqE+3Ul7dElVW4QjJi3+EDmZ7lF/7b6koj2aWgPsO94AwIKyXHzevs/9o0U+J90lYYhgj+evEevB6m3NkNhQjPuAI0SHUnxNa306ts+XiY6JzwFe1Fo/PVLlExPLn4++TMSKcN3MtX0GV2ca/PzwkR10BCL8zU0L+w2uTNNi2zvH2fz2UUzTYsbsXMo6KrC/8SS+81dS8jc3Y5oWJ482sGvzSU5UNPDYb7awes1sFiybwj/euYINu6t59PXDrNtwjBffPcElS0q48rypTM1P7zHIcebm4ly1Gt+q1UC05+yJA8/wVsWbZNu8fKz8dmbkzYwGUo7+P8KWadJRcYTGV1+hZdM7nPrZj/HOX0jRJ+7CmTuwFPZCjCVKqct6ePge4LbRLosQIioQjLDveAMdwTALSnPx9XMz8WyhYJhAR5gMX+/D4ceTxF6rwfZlhEMRHM7hJ8ERqTOgAEsptURrvXOQx+5xzRDgU8DLWutHlFI3Av8BfFQpdSFwpdb6OqWUE9irlHpTa904yNcVk8zptjNsrNpCSXoR5xct63W79kCYHz26k+a2IB9ZO48L5hf1edxQMMzLz+zj6ME60jNdXHFtOQWRWk589wmcBYUU/dUnMAwDu92gdHYepbPzqDhQw2t/1rz5wkFOHGlgzY3lrF5cwsryQtbvquK5jcd5bWslr22tpCDbw7I5BZTPyKYkP52CbA/2HobvGYbBLfNuJMeby+MHn+HHR37PxzwfYnn6kgG1j2GzkTZ7Dmmz55B7/Q3UPPJH/Lt3cvzfv8HUv/sinrKZAzqOEGPI74EDgAE4gXJgf597iHHvVGs1Xmca2e6sVBdF9ODAyUY6gtGpkE1twUEHWHU1bbQ0dTBrngu7Y/wPZT9noeEBamsJcOpEI1NmZJOeMbZ6AsXADbQH6yGl1D9qrdcN9MB9rBlyPfCt2GPrgQdjP99AdCw7WuuQUmofcBkgvViiT+sqXsLC4oaZ1/Sa0tyyLB5Yt4/qej/XrJzOmhXT+jxmKBjmmT/u5HRlM1NLs7nm5oW4nQbH/i26zE7xJz+NPe3cpGUz5xVQUOLjlWf2UXGwlqcf3sH1ty/Bk+bkyuXTuGzZFLYeqGXz/jPsOlLHS5tP8NLm6HqmdptBTqYbj8tBmtuOy2nHZhgYRvQ5tzOH+d5rOMCrPLD7IU6VXsP1s9YMaqife8pUpt7zRRpffpGaR/7Aie99h5JPf5aMZecN+BhCjAFf0Fo/Fv9FKeUB7k1hecQIC5thTrVWkSYB1pgUCkdo6wiR6XXR6g/R1BZgOhmDOoYZiQYhkYg55gMsy7L6Pfd2roMVDhGqq4OMKQM6djgcie1mDquMY1VbyI/NMEhzDCTx6/g10ADrUcCnlPodsAN4QGtdN9AXSVwzRCmVuA5JM5CjlHIQXYtkX8JuQ1qfREwula1VbDmzg+mZU1lasKjX7f78zjG2HqihfEY2H7hydp/HDIcjPP+nPZyubGbO/EKuuqEcu91G/QvPEaw8SdZll5M2e06v+2dkurnxQ0t4/bkD6F3VPPnQNm744BIyfNEeqpXlhawsLyQUNtEnGjhW3UJ1nZ9TdX4aWwPUNbfTEYjQ8/0uAyPtAlzztvDcsRdZf+Agt8y8iRXzinvs/erxCIZBztr34MwvoOq/f8Gp+3/ClM/9nQRZYtxIDK5iv3copRamqjxi5IXMaM9Ie7iDiBnpcyi4GH0t/hAA2RlusKC1PUQ4YuKwDzxQimfdG+u5AWqqW2hrCVA6J6/PICteDXtDDaG6NiL5WdjT0/s9fny/sd4OQ3Wo8QgOm4OFeeWpLsqIGlCApbX+t9iPDyulrgZ2KqVeAe7XWm/sa98e1gyJr0PSSHS+VYPWOqyUGvb6JGLyefbIiwDcOOs9vX7R7Tlaz5/ePEJOppvP3LSoz0DENE1efmofJ482UDYnrzO4CtXXU/f0k9gyMsi/9QP9lstms3HldQqPx8GOd0/y5EPbeN8dy/Bld92xcTpsLJqZx6KZeefsb1kW4YiJaUV/jpgWgWCEprYgZxra0VVlbO54jmZPBf+rH+TRNy/i5lXlrFpYjM3W1Q6RiIlhRMtztozzljPt7/+Bkz/4HlW//DnT/v4fSJszt9+6CZFqSqlXE361ASXAOykqjhgF4ViAhWXhD7eT6Rpc78hYcqaqGZfbQXZu39lux5NmfxCATK8Ty7RoaQ/S3BY8J3tuX+IBhZnElHuRiIl9EEHeQAQ6woRCEUzTwm7vK8CK92BFsGwWZiAgARbRmyVhMzygXsDxbKBzsO4G3gU+T3SI35+AXwOrlFJ3aK3v6WW/c9YMAdYBq4ATRNcgiQ87fBb4l9h+DmAB8ObQqiUmgxMtleys3cOsrDIW5Koet6lr6uCXT+3BZhjcffOiPseEW5bFa+s0FQdrmVqazdqbF3R+Mdf+6VGsQIDCD38Ee8bATuyGYbDqqtm4PQ42vXWUp3+//Zwgq699nY7ud2jTPU5yfR5mlvi4cEERH4os4Ffbf8c+9tLmep3/faWF17eWcNWcAupPNVNT1UJ77K5iVk4aU2ZkM7u8gGllOZ1fammz51Dymc9x6mc/pvInP2LGP34dV8nAhjEIkUKNwI9jP1tAtdb6QArLM6FUVDVjMwxKi3teQDMVQmao8+e2UNu4DrCaGtpxe5wTKsBq8YewGQYZHmf0E1kbfWwwAVZXD1ZyyuRvC1J5rIEpM7J7XQx2KDoDwX6Ct3g9DMvEsiysUKjXbXva0ZqAIwRNywTLwiIaaLnsE3edzoGG9d8Hfks0I+BsrfWntdYbiJ7gZvS0Q8KaIRcRXTPkKUARXbtkrVLq/wG3Al8CiPWEvaaU+jbwU+BeSXAh+vLSsdcBuLas53lIoXCE+5/YRWt7iDvWzmP21N7H7VuWxVsvHeTAntMUTsnk2tsW4YgFOIGTJ2jZ+A7u6TPwXXzJoMpoGAYrVpdxwWUzaWkO8NTvt9Pc2D6oY/TGZXdy9/KPcW3ZGuz2EKU5tfiqWtj+1lGOH67H4bQztTSbkmlZtPtD7NtRxbN/3MmTv9tO3ZnWzuNkLFlK0V99AtPfRuX9PyHSnpzyCTGCPqW1fiP2/5ta6wNKqd7HCAsgeje/oc5PJNL3ldvpBj9V9W1EzLFzhRcfIgjQGvKnsCTDY3VePE+c3olwxMTfESY9zYnNZuByRi8tw4N8/8TbJFk9WKFYwo1QMJKU48XF/4aRSN/l7JyDZZpYFlih4ACP3/11RoppmbSF/LSHR++cHzG7/haBSGDUXjcVBjoH6wGt9d/18PgMeull0lpvgV5nOH6ql32+P8DyiEmuxl/H1jM7mZYxhfm583rc5ncvHeBodQurFxdzxbK+e2U2vlnBnq2nyC1I5/oPLMHp6vpo1D7xOFgWebfcNuRFeldcXArApjcreOr327lpgD1Z/TEwmOtfStUeD+GARcgZ4LS7g+rWTNYuKODGy2ZhGAamaVFd2cTOTSepOFjL4w9u4eKr5rBw+RQMwyBr9aUEKytpePF5Tv/v/1By9+cndNe9GJ+UUh9L+Pnsp+8ErhnVAo0zbS0Bak+3YLcbfX7/xC9wW/whsjPchJuasEwTZ07OaBX1HKFIYg/W+A+wkjkMLtUaWwJYWJ3rPNljw9QHWkfLsth5uI72Oj95PnfSgs++5nQFOkK0tQTJLeh/yN7ZOuOmfm5UdFbDNLHsDLgHy2J03iMnWiqp8dcCMCu7jFzPyH++I1ZigBVk7PSRJ9+Ak1wope7WWv8cQCl1F/B7rfUx4D9HrHRC9OKVE29iYbF2xuU9BgJv7jjFmzuqKC3K5KPXqD6DhW3vHGfbhuNk5aRx4wejGf/i2g8dpG3HdtLmziN98cDSovdmxcWlGAZsfCMaZN1w+xJy8gf/5R7X3NjOG88f4OTRBhxOG3MuyOIV2zO0mC2kn1nKug3Q4g/y/9l77yjLzvLM9/ftvU+q1NVRLQllwZEEAgkkGYzBgAQIJJGlkTHGYMCeO+M0y7N819hz7Rl75tpjY8/cO/Zc2ziBPZgogwHJIEACjBAIlLpb3UedQ+U6+ez4pfvHt0+o7uruUmiJUM9avapPnfTtcE69z36e93nf/frL8DzBOedNc8550xzeV+erd+7hG3fvpVEP+YkbnovnCba8/VaSw4foPfQ9mnd9gU1vvPkpbe861nEG8BvkabOr4NxnciE/iDhZcd9uxgQFbxAJ3VsOQQg6WyeYniiRHD6IVZrCxpes6X1MlmGShGBq6mlbe1/BKgUlUpWijCLwztgozzOGoajxw0OwZusRAsHWaWcH7PcBn07h6UMqQ5ypPOK99LQpNwOCtQoPWpzrksSS8ckipfITs6mtlSQPtsM6Bcus2SJ44uu0GhFT05XT9pP1OglL8z3Ou2jjaedopXqoqGV6jWt7ijAjB2NdwXL4DzjbXh9zOHvgzz/tK1rHOk6DTtbl/rkH2FzexNXbTiQ9+2fb/P2XaoyXA/7tW19A8RRfMjsfnOH+ew8wMVXilttfxNjIzAlrLct3uLCyLW97x9Oi6Lz4ZRcgPMH99xzgH//+IV7/1udz7gVP7KqR1oYd353hgX85iJKG8y7exCtf91ympitcGZ7D/3jwz+hue4RtfoGvP+Jsiu9+/ZBkXnDpZm59z0u485M72PXgLGmiuP7my/B8n7N/4d9w5Hf/E8ufuYNK9bJTpiWuYx3PAn6rVqt9YrU7qtXqO57pxfygoe/YGi1gw17K4lwHgOde4WYDamUQQCd0BZhVGvTabVbRrp2YLGPiRS/CKz89Ucwq78Eq+2VSla4o1L7fsDjXYXyytOoMo4FF8IckwKDVS4lSyZapCuXc+dEPktJr3MZUunPLPEWLYJQoDs93uOTcDRQL/oBYHb+v00SSxO58UtJQeoJzjfuvezoCOejBMnkPVrZWi+DK/dBqRCwv9Ai7Gc+58NT1QreTopQmiSUTpyFYo5+hZ+rzpFcQrLXtjx9UrNXvtKNWq93Vv1Gr1e7ExaivYx3POO49+k2kUVx//itPiOptdlP+5I4daGP5hTc/ny2nsME8vnOeb3xpL5WxArfc/iImN6z8lo127SR+vMb4C19E5bmr2xCfDK7+sfN59U2XITPN5z72CN+77zBmjV71owcbfPKvv8u37tlPEPhcf8vl3HTrlQO7z/bxbfzy1T/PeGGM3ubvcdaFbb728Cyf+tr+Fa8zMVXmLe+6mu3nTrHvsUXuubOGtZZgaort7/95sJb5D/35ej/WOr6vcDJylePsZ2whP6AYFvfutjGGxdnuiscYa8E6MtaNM5Q2YDQ2LxLXApMXkjoMn/Aau1mPpag+KPi00WQ6QxqFEB4FP8jX+cwSrFRqpDo9yZRS027GdJqrf3f2d6FOUtL5udO+nup2sEqd9nGnwpkkc82uUyG2bVr5tzbwvDUTpVRqrLUjitMarYVKkS0tDrZvz5Em7Shjtu7Ou5MpTa3G8NioNRzTE953JORCarmir2i1x2ENlidgETyuB6u//jg6PSFJ+8RRnf7z8ewQrB+dHqy1Eqzn5Ml+AFSr1QLrdox1PAtIVMLXZ77FRGGcl519zYr7+qEW7V7Gba++dNX48z4OPr7MV7+wh2Ip4OZ/9aIT0pysMUP16q1vf9q347Irt/Pmd17F2HiR73z9IJ/+8IMc3l9f9Q+htZbZoy2+8MlH+fzHH6VZj7jiqrO5/QPX8rznn3WCsnbOxHZ+8ar3U/AC4u3fZcv2jLvuP8Kd9x9e8bhiKeCm217ItnMmeXznAg/e5+4fq17GpjfchFxeYvGjf/e0b/s61vFUUa1WL69Wq3dWq9W91Wr1QLVaPQj87mmf+COO4wMWolAOCswgH+xq8oZ8AKstjU6C1YNL9k/o/cyTuEBztDvD4c4RdtX3kGnJnuY+Hl3aRaozCl6Al5ctzzTB2n24Se3I6XO3ThvUkO9c2agTHTyESU6+j0wSEz32GOnszBNfcI5w107ivWcuYFPn21k6LvXW88TgvtMhlQZr7BO2T2YLCyQHDqDbbXe7fy77/XN5pVqolObowcaKoKknM8x3mL5u2NWocaR77JSPw+TbJ+UTIrv9hwZrHLqslUHmaqB+igSrE2b04qffNjganPPDrmCt1SL4T8DBarX6EM4dejV5+t861vFM4l9mv02sYm6+6PUU/WHkurWWj3yxxoHZDi97/nZed+15J32Nw/vrfOmzu/ADj5tuu5ItZ52YxdJ78LukRw4zed1LKZ23alDmU8b252zgtvddy31f2Udt5wJ3fnIH45MlzrtoI5u2jGOtpVmPmDnUpNtxV3rOOW8DL7/hUracderW0PMnn8PPXnE7H9r5d4xd+j02pi/jU/fuZ3qiyI+/YHihv1gKeMPbr+SOD3+P73zjEBs2jXHp5dvY/Ka3ED62i+637mPihVcxee11Z2QfrGMdTxL/Efgt4P8Afge4ALj9WV3R9yG0NnRaMRs2VvA8b8Qylf8cKWQH9qzc9lQqOAWi3owGV1MZ1JU8AAAgAElEQVStcdbB08ErlTBp+qQIVpYXXYlK2T0zT1O3magU0EZRLozjiT7BeuYsdsbavD+I0w7PPR1JGOz7NMVWwCTJSW2UJnHf+2uO9z7++VKiey4xVvd6ax4x8oTeI9/O4/OfPE+suQcrk9qppk8wAMSkifuZJCt+XziOYA0UoNBZAytjBaY3jzN3tDUgJKdCmiiMMVTyEI8+SZJKonxJolZXYlakCOI5m6BSiMKpe76OvxAyanDp37day0IyQoieqIKljyNY+2baFAKPKy8++YVqay1Zqk7oYYt6KYWivyIsbPg+w/2ttMRYM/hMg1OAg8A7bUtGmkhmDrc4+7wNg+Py/YY10eJarfZxXDrTl4C7gdeexqqxjnU87VBGcc/Rf6HoF3nlc1624r4vfOsw39wxz4XbJ/nZG08eanGgtsQ/f3onQgje8PYXsH2V6HarNcufuQN8n81vfusZ2ZY+ypUCr7n5cm77uWuoXrkdJTV7Hp3nvq/u51v3HGDPo/OkqeK5V2zjLT99FW9651WnJVd9XLXtSm6+6HW0szZnXb2HSsnnb++qsX+2veJxY+NF3nDrlRSKPl/9/G4WZjuIIODsD/wColhk4e8+jGw2z8Tmr2MdTxaHa7Xad4FurVY7XKvVvg6s+1mPQ6vuejfmjrYxSYIKXbG9Wh9QvwhVeVFcDHzGCgGdbkK7lxIlErtGBUsErrDS0eppfyZNyRbmT/Jk992dSs1SK6LVG17lLviFIcHimVOw5EixGp72qv7JSYKRGdHevZg4wSqFsUMStRr6VkueZFz+KMHN5k5vRwR3zFRn7R0gJyv4fU+smQSnmbMIPtH+tH5Pk8lW7kNzHEEZKE75cZzeNMb4hCvK16JgHTlQ59ih5mC8wZBg5WqRPZlF0P0UI8fPygyrNap1cjX0eIvg6P6YPdLi4OPLq45aWEGw1kAcDRYvb7Owx32elDanJcitesSRAw3C3nD/G2OZOdJiaaG36nNMvq8K+fyrRA3JsZKaQ3uXaSyd3lrc66RobYjDtdouLUvzXdLkmQnzgLUrWNRqtd3A7v7tarX6S7Va7X+e4inrWMfTigfmH6KVtnnNea9gvDC09H1zxxx3fP0Am6dK/PI7XnjSUIu9jy3wlc/txg883viOK08aLtH+5jeQ8/Ns+MlXUTzrrDOyLcdj87YJXnPTZRhjaC5HtJsxQgimpstMbx570pPob7zweg53j7Fj+TGu+8nz+Prd4/zJHTv4rZ+9lo2TwwbszVsneN1bruALn9jB3Z/Zxa0/dw2ls7az9dbbWfzfH2Hhb/+Kc3/119aj29fx/YILq9XqODBerVbfAjRwQ+3XMQIdx6THjmHP2k4YLZDMNLHbLzppIWuMHShYQsCG8QJLzZj5Zg/fg61rtQj2lYgkwWqN8Fd+J0d7dmOSBBEEFDZvWbnmvJ8lThRgiZctzVQyfW6AjkGXXSForEEbjRBixRXwUbTTLhbDdOnkMxDXgmykWO3Gkg2rhFf0caqgBrm4iGy1SBsNwO2m49WXUfTnJq2V2J6wljgnuAJks05JXoBXOPXV/vTwIXS3y8Q1165pLMlQwTqRYOm8b++0aoTUbl/YfJ+sVcHKiZVN0xUk+Phj0CdafducH3iYMEQtzNOzGr2lsCZ1L+ymK3q1pVJQAjVCsHQUIvzAqbjW5okYdkj6pCRrtUmPHmH8iueTLS5g4ojxFwwDu47vlRxVmqM8eEZmGr+y8vj0CZYQYs0KVsELSI0+YeadtZzS4mmtpZ33GXZbySDQ5fh93Ue3ndBYCqmnHdS4YfPGKepxna4MGcvruf6a17L2OOr3mq3tsxFHklYjotWIBmE+Zxprqtqq1erN1Wr1vmq1um/d776OZwPGGu4+8jU84fGa84Z11K5DDf72rj2MlQL+3W1XMX2S1KaHvn2EL//TbgpFn1tuf9FJyZVJU+qf/QyiWGTzLW85Y9tzMniex+ZtE1xc3cpFz9vC5m0TT5pcgfuifdfltzJd2sB329/k+leO0e5l/Mkdj64oGgDOv3gzL3n5BXQ76SD0YsOrXs3YC64k2rWT9r1ffaqbt451PF34LI5Q/RHw+8CngP/xrK7oGUaqJKk8dfhBvG8vJknQvS6tVuoKTqVGbGwrH2+NHRRaQggmKwU2jgV0dIO6XMauUUmxo70dq6hYfVJhoqHCYqyldqRJN3JFc5wpLBYdQRprrIHWXMbCocgFIljDY40aB9qHT3j9Po50j3K4s3p/zBPBaPHei059BXw4I+nE4lQEhcH9qU5ZiOrovAfLWrtCdbDWkvTcflrrfj8efQUrmJwCCzY9fc+LyTK3f/Nj1OymHFtcXY0AR4oEAm8VBcvdf3qy1A+5ANw61+j+HChYaTKwcPbXBCf2YPVVHyMMyfwcIu6R9WJUs7Gm9+t1UqwFWa+THj1Kpty50L8oYI0h3LGD3sMPDd93EN3ZX7McrjtJ0N0uOoxWkuiThFyMYrUeqyx19rpCwV9zD1YgLf6+w5gdu0lnjuW/t1jsigswmdSDtEdwhKVvrwx76Un3dR+9TkKWKdJEkcWW6dIUaE1n1w5U3kO31hRJa+1AiVrLdsJAGH9GsdbK7YPAb+Nsgq/O/338TC1qHes4HjuWd7MQLXLtWVezsTwNwMG5Dn96xw6EgF9+xws5Z5WZUlob7r2rxv33HGB8ssib33nVqrbAPpp3fxHdbrHxda8nmJ4+Y9vzTGKiMM57n/9OrLU8Zr7CS1+wiYNzXT7yxdoJV7CvefmFnHPeBg4+vszOB2cQQrD9Pe/DGx9n6ZMfJ1tD6tU61vEMYK5Wq/1zrVbbU6vVLqvVattqtdpHn+1FPZP4Su0RvvDIAye93yo1JFC+j8y0SzIz+gQFyx/pWRlNNBUWLtk+ie9btNVk2cnVlhUYKZBWswn2e1BG5wKFsaTedZZACySpRmuNxZJJg9UQCB9PCLKeI1ipSk+ZRKatOal964lgBcGKTwwqqMeNQcP+KW1u1g5GHEUyJswissilODaXIw7UFjlw306SRptWI+bo0Q6ZsnCSlLrTQUcRCPDG3d/GtShhNicN/fCN+UbEseXeSRMUjbUnqFcwVLROVyxLZQbJlf3XW0uKoFVqEL5i0pQ0G67PGItcXiLNbZGDkIucEDze2cfjyzU8zz1fpquT5v7stb4CF4UZWhlMHGPSFN3vkbMGY80JFxOsZUCwbK4GGplhtXtdk2UDFc6MRLgfT6xWO5dWswhqbfADHz/w0PrUqZ/GGrAWP4oQUYKVGSpvBRgQnZHnP7h3iYf2Lg1u91MyK2NFjLGE3f6+6CtYK9+7bzc01oKBSlCmlGri1jLR7sdWbu9xx18qvYJAZ6kaWprXSLCejakIayVYu2q12t21Wu1A7nc/BPzXM7iudaxjAGstdx++F4DXXvAqwJGrD37sYVKp+cAtz+d5551IhrrthH/6h4fZ8+g8W7dP8PZ3v+SU/Uuq26H5z3fiT0yy8fVvPBOb8qzh0umLuPHC62mmbcYv2cdFZ09y3855vvrgynQqzxNc/6YrKFcK3PfV/SzNdwmmpznrZ96DzTLm/vIvnnJk8DrW8TTgQ9Vq9Zeq1eoTGyL3QwRlFL1TJNDJRmNYVFibF1yuyLbm5ASr34Pl5TYjm5McgDiNBravU2JEweoXk6PwcoLVL+YB4kxjcANns8zNUCoJD4tb03gwTqVQQSCIWxqVF7+jjfqznXmW4/rgtjZ6hZr2ZJHlRVwp8FHGkIwU87FKONg+zHy4kG96v5dNEcs4/79BSU2aZI5IWItEY0plVJpgrSWOMkwY0VtuU98/48iA0ij1VBSsCK9UHu7v07yONcbNPGNEZcx9e1GzveK4y3wwrTGWVfjVYBaWOk0fT18VGZCKkbj2U2GUkDRbEUuNYd+OsZZscZGs2covNFjSep14ZtapolY69US6PiiVnniOLkV1HlncQZhFK0hzFGaD8zuLhxcctNHo3sqRB6MKlvQLHJzr0Gz0Bn9DTRSOKFvpyPP6/1l5e3JDmYnc2n9871ifUAWBR1DwVn1MtjBPvH9fvo9ypVqDJzwMdnB+jB4La60b1XAcelGMQrF1u7NW9q2L/VPMHPc9Mexfc7/3hc9EYRxjDKnJ0FF0wvdSHwdmO+w6OFQZV/aarZVgDV/zWL3BnbseIEzXeMHoSWKtBOtItVr9m2q1+oFqtfruarX6buAvz+TC1rGOPva3D3Gwc5grt1zO2eNncWi+wx997GGSTPGBm6/g2su2nfCcfbsX+cRfP8D8sQ6XXLaVN7/zasYnT+6bB2h8/nOYJGHTLW/Crzw9wzG/n3Djha/hnPHt3Df3Hd5w/TiTYwU+9pW97D22stl2YrLEa26+DKMtd3/2MbJUMXnNtUy+9GWkhw7SuPPzz9IWrGMdA/wx8B3gd6rV6p9Xq9Xrn+0FPdMoeAHqFMqGatSHQpIx+RwrsEqP9Ha4n37gKuTRWUSIfuxzSr/FqRv1eGDPIvtnTx2CsKKQP66obyYtIlyBNDp4NUnVoOhrtN39Y76PJ8BqjwsnLqDgBQgEWlqSvs1qpHA60p5lrk90rB0Uc9ZadBiuenEoTSQHH1865Yyhfvz3eMURldGCM8uJRv9Y9JezFDd4bHkvymge2bfMo48tMDMTYiwoNLYYQCFwJDDL3FX5nDBnvZ5TE5Vyw3pXKXBPB52mWKXxx8agPy/yNEqY1Sq3X9qBvVAbi+h1iHbtIq7tASCUEY8s7eRw56hTsFbxX63VIti3qo8GUqwl5KJ/7kilWW7HdFpDcmOsxSqJxamk1kA8M0vaaCH6iqY2SFK0VchVrJN9ZTSVmYtYz4/BqDKk0iEp0lajuyutlMaCyM/pxPpoYwjDZHAejhKy1RQsLaX73Ob7Zsu2CTZtHR+sYxSj/WVBHpl/fH9StjCPXF7GKDU4Lp7WeAjCOCPM7bmj/FYbS7wKAZ3rLTIfzxPkPe9Dq97wyaNEWSvjkiJ7Pawy+J7PuOd6rxKVIJcWB+r58QQ7ShRSm8Hvk9itx/NOr9T1MaqKPbj/MO0k5Eh9bdbQJ4u1Eqzb8p8/ztAiuD4Hax3PCO4+fA8Arz3/1eybafNHH3uYOFO8/+YreOnzt694bKcV88V/3Mndn30MYyyvekOV1775CgrFU080z5YWad37VQpbtzH9k68+Y9vybCLwAt51+a0IBJ878k+8/5bnYS38r3/cORgW2ccFl2zmqh87j3Yz5mtffBxrLdve+S6CTZuof/6fiA8ceJa2Yh3rgFqt9ue1Wu3btVrtl4DfA36/Wq3uP93zfpgQeD7aGtRJbF8mTVcUHtbkfRX6RIugN2oR7CtYuAJN6QyRh7N3YldALrdPE9hoRt93ZSF4uHOU+dhZjfohDgBJpgdJZkpBIfAoeILAd/OUslw1Ejnbk3qoYGltmDvaIjm6iMmLphUR1GlCuGvHqvOkmvUIpQxzR9sn3NeHzK+Sl/O/I6PN/8rkvSB2pRKjjEQpRSIlUhviSGK0QRuL2TyN2bwREwRYa5ChW0OQF/VGKlQYgTFo42ydo7BKrSjIV4PKi32vUkHkx9eeJhDASsVyxzJbNysULKHcwGnVbiPry4Pkt6VomUhGiBEJS2tD2EsHFsHTzcLKwpDCwRqBHFosn4iCZUv5xdCRc8katy3WAjmZ0FHkeKrNgyCMwSt4GEBmJxKI/vFUSpMcPkR0eD/z4QIHGodJc6usTrNB4R6mGfv3zZBkapCiOapgmcCR86Pzy+w5suhshdlQibHHHU8dRsT795McPDAgQ8ITA7X5eGtc//aogjXan2SNwSZDO2I/zU9op083w5TlprM4ju5/ay3RCMEaJigq9xpipZ3xBFLV/782iCzGLi3jHVvAEx4Vz+2TzEhUs7mqJdJYO1CQ++dSlq+nMlZw54u2yExxoLZE1FtZy7R6Ke1eusIiKHNrsuedWd/gWgnW79ZqtfeO/gN+/UwubB3rAJjtzbOzvoeLN1zI0kyZP/joQ8Sp5n03Xc7LRshVliruv/cA//Ch73CgtsxZ507xjvdcw+UvOntNyXfLn/oEaM2Wt7598OX4w4gLps7jhvN/kuWkQU19m9tefQntMOP/+8zOE2wA173yIs46Z4p9jy1S2zGPPzbO9ve+H4xh/q/+4pQDMtexjjOJarX6W9Vq9cZqtfop4AHgYeCnn+VlPaMo5Ml8q/XGHFvqEYfxgOd4wg4HCOthyMUJFkFthmliuYKlpBw0iCfZys+8MZZH9y8zs7wyVtlaM0wONIZmPWT/niVH2IxCqcz1rIz0YCWZQgg3w0hon7GkSJoofN9DIAbx6EIA2pAdOAyZm6MThxndTkJ8sAEz81hraSz30NKiUsOxQ3WMtquGPBTzWT2r9bSEvZSF2Q6p1ASeRyFYOV8Jhn06Q4KVb7Y1TjmRrhhXyvW8WAuZb8H3MEERYw1JN8IaQ2CGCkKWx3gbwwkKVrx/H72HHjxB9WgkzQGxTOZdDH6wcRP4+d+00ylYSpEpi9Kg8n4ibSyYoU0sW1hYoUrV5eIKBWthpsPskRZJrghq7RTE5cf3k6wSTa67PUQaE/RnWq21B6tvqRtzis7WiscVF25yr2HcuWWMpdOJ0JlC5uRC0FewNH7B9Ua12m7gtpGS3kPfQy4tDfZj1u2B1iSyR5TF9LKQSOZERGYDFbjVbJPFiUu/HEkB9Kx1Fyj8AIRHq9ehFXZZiJZGYgItZuTcTLohC3sPuqj0TnuwP4QQ+IGHtVBvxSv+Zq9UsNx52liOBkOVRy+4mEwOFSyl0RqM72H0yosEbl+yQsHq2waNsQhfII1CCDFCjhh5bk7GOl1sJgkwWEBkGpMkFOhfsFBubl6+DaOu3kwOLcqDviupCQr+0AqpNEmsXGx75I5lvyds/0yHg3PdlfbWPpk/w6Me1joH68+q1eql1Wr1hmq16ler1fNqtdoXzujK1rEO4O4j9wIw1buMv/jcYxQCwa/e9sLBsFxjLLsfmeOjf/FtHrr/CGPjRW540+W89V1Xs3Hz2CleeYjeww/R+953KV9yKRPXXHumNuX7Bm+86LVsG9vCvUe/ySXP01x3+Tb2zbT5h6/sXfE43/e44U2XUyz5fOPuvTSXQ8Yuv4KNr7sRuTDP/N/+9Zqk+XWs4wzgt4HfBL4AXFir1T5Qq9Xuf5bX9IwiyAlMepztLU4VxxbatDox1nMWO0GuYPV7sOzKYsj3xeC20RaURGjXu6JkOrhIFafx4LmZ1ESpIkoV3fA4e5MF4fvEqcVoV/wYY0j6RaS1ZEY6y5B0oRFJpikWYNvGCtvHxvG1cDHSBQ8QgyLPw0PEKarRxGt2sNaglAsZ0NJgpKJX77K00CPpGLLQ0uskLPY6JNmJgRuW0cJrZYrf4lyXTismCjMKgTdUD1YjWGZlcapze2Kq3DYrZXL7HaS56mV9H2MNWZRikoRSAGJsDGssstXOX7dvdxxRzXKikh47OvhdK21zoHXIkawkIWs08Ccm8MfHB3HrJwu5UEaxEC5iZDZwdGqp3W1rEcYMeqmsUiuCQ6SRK4YM9/tjVJIrjMaSdHoc2bmXo7sOIvPEwIXZDt12glb949rv0VlbTHufXJox11ddQjNR7oenuIsISaZpNHq02j36m27z4+UbgV/ymZryUFKzMNPBRBEmk6h2azB4Vy0t5edrgi88hPUwoyEV+f6K287u5whpf5SARViLEI7IGc/HaovVlkjGJDplMVrmWDi3oger2+qSZoo004hCcag0ewIhBN04Y2apx8E5Z9WVyvDovmW6UYbve/g5wUoTyUJu5x2diWZlNtKDZTAGlOcPCM7o7jfWEiUjBMu47whjDcJz547niVX7p/oXLbqP7SZbWsQXJg/X8MjmZhHG4nseMj9/0iimF8kVF43SkR4rbfKeMOW+F4ZWSDNMiDSW5nLE7NEWSSyRWqNG7IXGWGSeviqfhPX2iWCtMe3vAb4I/AfAB/57tVp91xlc1zrWQT1u8t2FhymqDXzrW5YtG8r8xs9cwwsucpPFZ4+0+PSHv8e9d9WQmebaV1zI7R+4judecdaa5zXpKGLxf38EfJ+z3v3eNc39+EFH0S/w05fdisXy0T2f5mde/1yes3Wcex6c4V8eXZkSODVd4VVvqKKk4e7PPoaSmi1veweV5z6P3ncfoHX3F5+lrVjHjzh+o1arvaJWq/1NrVY7/VTKH0IUc1Uiy4u9uXrIsaWeK/Dyxn6CAkK4PhBjHJVYQbDMUMHqZT1q9f2EYZtgeQ67MIc1liRNEbgobqUUKrdYxakiijLiTkocjyhD1qKMoplmLLQM3a6zxgFkfcXKWlKZsdiM6bR6pFJjrKVQ8BgrBWyouFlDU+cEjG/yXbBFXuQFgQfaze0RucVKKoU2mkY7o9FNCJutXEFyaohUCfWow6HmwQERGix3pJqMR4hir5OipHuf5Zm9aBmDHhZpfQwtgsOAANdH5BSsRKV5OqMrvI3NSZkQGOG5NMREYpIUD8tsIggVaNknbvl7jaoLAjJpObRnnjjvPcryFMNMS+SSs2D25zj21cSThVzMhYsc7c7QiVqubygI0AaSgwcxvQ4YPSxG9ZBgWUBZtULBKpZyVSIvjLW1JD1HbOcXYg7tXSaJJZ1WTLMeovNiOuhbzY4jkydD31JncwXLy5KB0mqUdETNWoSWyCgdhm3kAReB54PvMbnBo+Qbwl5GFucKYpo6+5vWZPVWTqI1laCMb/zh9sts0JuV5TPH9Mj6rbWDHiw8D+v5oDQ4MdMlc+qUTGVkyZD8m5zoG+uOmTErBzlHmcbqYdhKnCqyTBGnGj/wKJaCFcmOWhkOPL5Es5cfkzQbDOoW2qKsII7KdEKbv99Ki16UKILZwwQzhzCmH5jjCJYj2GLQP2WNRdbr6DByqrFSaKWxUuLllkKBQHXdeRV4AbIU0Oql1A4sM9eIqLeH4ROj0fDG2kGohR94xHk/qZJDghUeOEh0xMXN9/LPc5+YAcQyI+fYp+xhfTqw1mryFcBzgcdrtVpWq9XeAbzszC1rHeuAT+76EsYaekfO5/ILNvEff/Yazt0yThRmfPlzj/HZjz7M8kKP5z3/LH7qA9dxzcsvpHCSIcMnw/KnP4lqNtl80y2Uzv3RaSu8dPoiXnnuy5iPFrl37uv84tuuZKwU8JEv1jg0v7KB/ZLLtnHF1edQXwq57579iCDg7F/4N/gbNrD0qU8MIlbXsY5nCrVa7b8922t4thH4PmhD2mw4RaARM1+PXCiBkq4w9wsIYVkMF/I0tH6KoHuN0R6snoyI04i5vQ+idUaAQnc6yNy6F4gCVpsBwWp3Uw7uqxN3Ujr1EeugMTSSJsfCZYx16XkD1UurPCrestDuUu912Xdwnk5eCOVhdwibKy7CUAycRTAZECwftEYZA9lQHUrSDKnc1fy5Y3VmGyFx6rZVa4UxApMZDtVXzsUareWXDi3SfGQn4c5Hacy4NMJ2axk5P8fhPbtZzr8bR+2Eq1kE+8mF1kCUpVhtBsRBa2eTCoQPQqCtIUsVVrm+GFsokk5tHqax9fdFv4CVTvlLpEUq6C62iKOMZiPK1yNZWDzE/sZhRH/USN+uqTWZ1CfMQOxmjqSlSYi14I+POyLYaODXF8EYlHa2T6v0YFs9HEEcvZzpB/3QAz3YVzJXT7I8Dr2+GObvp1B9Bat/IMQaFawkIUWzLzyCDgJEmpClit5SSNKLB0OLhdZkcTJUHbUEbQi8wNk0PY+JigCt6bZy61+aoK1BJCnGaBKT4nmWcb+Mb7yclDs1xubnZdbvWcv3hs3JtOiHgHge2vOHA4ets5Eaa6BcJI3D/HgbGnGDrmqRaTm4IDJKsJSxGAPlwCdbmCd6+HsDS6Qk5WD3MOasHv5YTiriDBWn9Fu+rJQjCpZGWg+DR6b7FwGG+z9J3WdNhF1E2EUbO+h/FF5uEfSGFkGdurh31W66cz0niFYphJZYDNYPQGunbqeWemZYbPXw8lTR0fMzG0ns1MYOVOZEGg7MdTi62EVK7cicBdntOUui0rR27MJr1fMkUre9UZbRdwaerH/16cJaCdZ8rVY7/tLHmdXW1vEjiyRTfPjLj/Jo82FsWuYtL3g5v3b7VUxWCux+ZI6Pfeg77N21yNbtk7zt3S/m+lsuZ2KqfPoXPg7hjkdpf+0eiuecy6Y33nwGtuT7G2+65A1MlzbwxUNfRRe7/Pybno/Whj+9Ywfd4xK1Xv6aS9i0dZxdD86yf88SwfQ05/zrf4vwPGb/1/8kPXr0JO+yjnWs40yg6PuUGk3S2uPM3PcQaRihjLPL9e191vcxGDphj24a5ymC6qQWQaIEkoy06IaVqlYDmaYgXEiOkQqd97C0mvFg9pAcKYKsMWRGYoXAYFxfV64eSKmYWQqZXw6pR23auk49nOPQvCvwC3maoZeTCoMhCDw8zyPNhgSrb2saVbB6UYqx7vlLi03iJKMXyZxgaYwRdNs++/ctUl/s5elybn91wozKeJF4cZljR9ok7ZDu7AKVsSKB556LUah8O0eDG/oEy+Tzxayx6Lw8ykLD/P4OWX92ljWOGHqCwCtghYc2ljSW+PlgV+H7qEKZYMsWR4xK+d+2vgWx33dVdKm4WZJRX+zRWHSKgdSKpNdCFQMUGiX1cNat1nznwEG+PRJSpIwa9BQlOUnwp6aoXHGls4oZjTAarS2iWMAag84LbF/kjHgkLGBUHe336sgoD4XIFYfRxMa0nwjXL/iFWPE6q8FIiUlTeoGmJ0OSIgij6DZDtDQ0F0KiNFcNtUIlCVJajNUIK8EYAs93nw9PMFYSYA3dllvn/FLG8uEIUok2AqUlvgdlrzg4NxEuNIZUkoaG1pL7fGm/mC/SWUI9a0CAFR5KePRT9iwCg0UHHilFji2mZFHK0e4MYdZzpMBojHZKbN9cI7tdaC0BbvuyhXlMpjY1tbcAACAASURBVIjDBlIr2rJDK2nRTtt0VJcwi3h4bhdZEg6Ik8kyGkshWWgcATUeFoG2mnbcWUFw49T1lAmdnwfGDEhx3yLo+4JMKSIZo5Mkl+ecqmSVGnxebBIhAM8vYJUmilI6oaKl3f48e6qIYJjSaa1l5vE5OnNt0uUW8SMPkXV72Ewiwy6eL0il4dBsx401yL/3tNKYNCHuRgTzR/E6zcFcrlS5CxTW8LTMyDsV1kqwtlar1XcC09Vq9dpqtfqbwKYzuK51/Ihi54E6/9dffodvzt6P8DWvOf8V3PTSi0ljyV2f3sm9d9UwxvLyGy7lbe9+MWedM/Wk3kfWl5n7q79ABAHb3//zP9TBFidDJShz2/Pegraaj+75FC+4eCNvfsVF1Dspf/bZXcNmdyAo+Lz2zVcQBB733LmH5nJI5bnP46yfez8mjpn5f/8Y2aif4t3WsY51PJ0o+AFeJkmlplGPCY+4ePJMaVDKkZqggNKSMEoJ0ywvmIcWoEHIReCUCJsqV3iUyxQ3TWOVJut08RD4BLkS44qSKJJkUuN5rsl8UBBbizYKKzyn2Cg9SCYMk4w4U3hA4As2bShTCVKsMmTNhDxvYqBgGU+DB0XfI0ldX00hV7Csxa1XaZTSREmGsFAuBHmYhUVmzqZnlHKFsnS2oNruOfbc/U2aew/Q6CQsNGOCSsCknyGKJSJvDBPFFIVC5JHygbVYTiRYfYsguPjyQ52jgxldMrZIo8kihcn725q9BI2g4AdY65FKi1aGSsEFQgjfRymDNzVN5aKLMIEr2AdDdfNeHZGn56WxdEqQlHB0Ed3ropSESgltDccONZmfD/PX0MxF88z25gZWyW42jBbPkgRtFSnKDcb1fITWjixgB2vRudWzmKfAjYYFWGMxWYY+cgi7uOhUhyjOj6s+IUypr0yKflLeSKLlyWDCkFYvZSG3cGbFAF8IVBghEFitaYcWm6tJOopZ7LWpJ020ThFaE4gAPA/jC3xPMFbxSROJVJYks8goRaSZs3cWA3zfBeb5Ji+bPRdnT6ZJOoYkdMdY5WmBbkQACIwjjZ6HFi6gQggPWyxijEF7Hu1ukVhqwnZIJ+sO1EpDf7yCHSQ1tnbtJug08aIesttDRzGxSunGy3RVD+s55WxmOaQdJ2RGurCXLMH6LrVyrj5HcymiOyexGjLrY4Ug1jF7lmvEKhn0/UltVoSjGClHFCynmAohONI5yq6l3cgoZqmd0O4m7nOvNcZCKEOONQ8hAg8rfKwxyFTh4zOxaYLtm8sEVuN7HlrbvHcvJD50BLu8TLzQQiYJaaNNtryEOXJwYL9sdRMWmzE2fy+tDVZKUpl/vy3ODs671Pb7QEE+yflya8VaCdb/CdwI3ADcCVSBXz5Ti1rHjx56seQvP/8Yf/yJR2iGIWPPOcZYUOHm6is5erDBx//qAQ7vq3PuBdPc/v5reeE1z1l1evxaoKOQmf/nv2N6Pbbe/k7K51/wNG/NDw5etPX5XLX1Sg60D/MvM9/m5h+/kKsu3cLuw03u+NrKKPZNW8Z59U2XITPNXZ/eSZpIpq57KVtu/VeoZpNjf/yHqPaJKVHrWMeZwo/yoOFCEOBpTZqntGWxxChDJo2zCFqLCApIo/CswRiDylWWI7Mtjix0SVXG4c4xIh05y5B02ovyoDjhQoJU5ixAvgjQI/awMJZIZQhKgQtuyAtlrSTaGIwVGJEnuuXFcrvnCu2Jss/mqTKBEGybrHD+xjHO3lhBZ32pRSA8z/V5CEeqjHY2tSAIEFpjgVanROtYyvxyjyx1Df5jpTKbJkuUPINSFqkMxiiU9kBb4kTROTZLu5uycGwpTye07Jl7lFA38cpl4uIGALxug8BL8H2NZy1Ra5ng8Z3odBgp3lewAJbiOr00ZLbZJJNOeZBWDhLe4iSjG0uSVBGIAAtEUhBFKdZmaCEQnhhEbltrWU4a9LJoENVu89lLqVdgqRVz4GiLRjvBdDuw3EHX9jryNFZGaY2UmiR1x11JhTIKg6GZR+6PEqw0TemkXeajJdJMYjzPFdf5eyvPMWCTp7D5Io8jFyvDQbL6Mu2kSdKYRxuL6gcs2GHAwPhErsClGoEYEKy+3/BUSYI67NHqpixIhTEgCx6eJ5Bh7Ga25YW26XtOraFn3GtmMhqxCPqYXL0tFx0xizNnNTOZgsSFfNhiEV8IR3RMvsCyBxb8NB92axSKAG37jWA2V7Bymud5mFydE0JgCgWUVWSmCL6PNgrZbpGqFJufUtpzyX5KG+pJA6klSaZccE0csnRwkcOLhvmGhczgL8wi99RIpQufWWyHRGmGjpVTwgplQpMwW593x90YosS6OWkCNMYFcKiYuewwi3IGqZwKFfRj96UahFD0LYL9fi5rIA1DtDFI6VL9rNZoA2EWuYHUBX8wl02lKb4IKE5UsJ5BZxnO+Zx/p9XrzvKcpQiZopQlixJslmGsZCk5xPbNJXwLi40ImUkXwmHchQiZq1ZCSVSudif53DprhsE0ZwprTRFs1mq1d9dqta35v3cDvdM+cR3rOA2stdz/2Dy/+aH7uW/nPBdsn+SmmzwkCa8898fZ/b0FPv/xR0ljxctefTG33P6iJ2UH7EN1Oxz74B+Qzc4wfcNrmX7Va57GrfnBxG3PezOVoMxn999JM2ny/puv4KxNY9z17SM8sGdxxWMvvXwbV7/Uzcf68ud2Y4xl4+tuZOONb0TOz3Psg3+A6px6COk61vFUUa1Wr6tWq4eAf65Wq2PVavVr1Wr1xc/ysp5RFHwfoZQrgHDN9GnsFK1hyEWA0gqRW7WUcf03SZxSbyf04i623aaXdNDW4CtXeBhfUBh3Cok0FuEHeH7BNegfOsZkFqGURnjg532vcZ4el+WznCwCi2uwN9oRvG6UYjIoe2Xw+7N65CDSu39l3JphdPyAYBnIlCHwBWiDNQKtBe16zHI7xlhNMfDIbAGwFI0C63o4tFZ9ZxZ+HCJkjLWCpBc6omhS0l6bRHfIAg9RqYDnEWQRWmZUKgmlgiILO27fhq78iY4dIdj5OOSEK9UpUhkaYeRmB2mDV29i9LBXTCNQxuSJdD5RJuiECZ12iMJf0c+SaUk3jalHnWEyXW4RjGzgiKyShIl0dkzjbF7aOoLVDxWJU8VsMyVJhkl1zbhDpjMOLi/Q7GaUghJZmiKtxgpoxm0XymAcubSeRz9MzigJQlAQJypYKkrIOm0kijTqojOJipO8N80RdoDpzWP4vkeaaDIlBgpdPzDjeAUr3r+P6PGasyj2eihjiIsCpQ1Z0cPzQEYxAghVk0Sl2HI+I8sPiMbGwBcoFbsBzCLA+h46Jw6B59SWPOfCBWUkEo0gUoYoc9ZCPydQpuzOez+zbk6a1hgvQIGL4x/0YBlHLISHyrfNw8NUxtDCEtsydryCFJbezBFEo01g3Wub/LPQSbq00haL8TIpPsIDkabYbofAdz1ZnjIIlWB64YBY4Bnq7RiTGcBihUeoDbNzbcIsBWPoRmC9ggtdMe5z2sk6pCYh1iG9LOJouIeUfn9aSnzwMCJJBxbB2DgCbS2k0VAtNdrN3TPGze0TnkX4Hp7nO8Kfpnh4+IGPCjx0KvE9N/dOaUO67AiWZxQiy5Aasl6MVYpYxWRZFxOkTI0VMMYQxxna5OEgaUqqLLriQlBU7Oyf0rr3wJz5Hqw1+aKq1er5q/z6PwPvfXqXs44fJTQ6CR/5Yo1H99cpBh63vfpSXvOSs/nd73yQIiUKO8/h/t0HGJ8ocuPbX8C2s5+cHbCP+MAB5v78T1H1OlOveCVbb/upp2lLfrCxoTTF2y+9hb/f80k+/NjH+NUX/2t+8W1X8l8+/F3++gu7OWfzGOdunRg8/rpXXszyQo8j+xvc95V9vPyGS9ny9luxWtO6+4sc+6M/4Dn//tcJJp/a8VrHOk6BXwGuB/59rVaLqtXqjcCfAO873ROr1eoNwNuARcDWarX/vMpjbsMNMP6VWq32+fx3lwD/BXgQeA5Qr9Vqv5Pftwn4feAALhDqN2q12sJT3spToOgHCKXJ/AI6S8i0RbZDZlLNWJa5q6eeh0LjGY0mIFMSlQXYsibr9TCH9uLJBNVwgRSeNgjhYTyBKHtEMkJ5hkolQHsBhJIsiekWFkiLY5T88UFUct/qlQ0GxgpsPkurk7ZppW3CBEwKnpxmy0ZBp1snSTKKY3kktjJQAIwY9IUJz5FJiQuw8Kx2CkB+fdgmCutbtm0oobRP5hcoSiiYDAukmRnM90GAp2IsZcbGihiVIFNJRspYGON50C3EjAOFchFfZah+XxIujdAYi45jsvk54mOHQRm8TojZWiTJCZa2EmEFfhjjhQl4IYwXHdHEorXFEx5WQWag7ClnXywXEEKg8kj9WGa0IsVEGmHUyh4s47uiuD+M2BXHYnhVvlIeBAR0ogw/VBQqMbhUc+pRi0xELLRDNvhb8DcWnGqTqwuNuMUmz0cYQzmAWPkca8ZsiWL0Vh+/XEZlYBUYqznanWVrZROy1XKKRqmIkTGmsYzOLZ0AQQEurm51auN4Ea00YepRSDWiMuDBef+WQWaaUrmAXF5259nBA8hOF+V72CBwNtUgwDcBqptgRQFpQmJTQE+diz67ghU+2m9T8DyETphb6jLeK8PmImZAsJxSk2jrQkqkwioJQYEwyigqhTUGPz/vVMGA7yEyjfIM1miUCCgKD+2y5ocpgkJgPQ+dy3MCgSkEZJdfgjrQBQN62ybiuIfXlvg2t2I6kYxUJohAEMoIpMIX1qlYRnPxVRey8PWdeFmG8VyapVIGX/jggTQamZo8fVIQa7DSWWo3+JY4FdhiMIh2N1LRSt2IAItlPprH05pQt5kSZVSng2w2EanE88aRRg5CX6yBLCcyLk5dDxQscPP4CHyU1hjro5IMQQHf91CBh1FOnQPIOiFhOwQBxUAMQl10FOMJNzvL0wJRsJQJMNoSJyklIEozOp02QhXQlUn8OERGCf54kUxkFIMC0mTfHwoWsAO4F/gacB+wH/jJM7SmdfyQw1rL1x+Z5Tf/8ts8ur/O5Rds5Hfedx03/tj5PLy8g1bY4YoDr+Tg7jrbzp7k7e95yUnJ1VriXNNjR5n/m7/i6O/9LqrRYPOb3vIjE8m+Vrz07Gu4euuV7G8f4kuH7+HcLeO876bLSaXmT+7YQZQM+ww8T/DaN1/Bpq3j7PjeDA/edxghBFtvu53p19xANnOMY3/0hy6GdR3rODM4VKvV9vdv1Gq1GDitP7VarY4Bfwb8u1qt9p+AF1ar1euPe8xFwBJwfHLLJuBjtVrtD2u12q8At1er1Zfk9/3fwJdrtdrvA58BPvjkNmvtCABhDInVdFSI8pq0bR2ZaeI4RFuLEV4eRey+JxOjSaXCry8RHKyR5AqH1VleVBqsCDDCskiDngpRyuIHBYRXcKTJWrpxExuEJKLLxmln9UryOVWpyqOu8yZ+paxTdrQmTGOKno9nA6bKmwj8gDQZ9m8pnQdwjChYCEGhP39KGTzjLGW64IpQIxV+ICgEAALlF7HCUrQSYUBKM5h95AkPX7vY+bFpZwNEZWQmhSihXB5Hl92wZa8sSHWGzuO3J/yCC0xAY+KIdObYwPLlhXG+fmebNNb15xS0U/FMP8pdOwumI1g+nvBR1lLyXJ9LooWzuOEIU5hIVyRrSyqHA2OFEM6+lxMgpfWg/wSAQgCFAJmnshkD2nqEI7OQOmlINw0Z86bYEGxCSQ+rDNbzEEKQZClJvu6JAM7bvgHreUSZxCiJQFA/GiGXoKe7LIQLLMUNdByDMNjpKddjVF9yEen5himpBsd22zlTjFdwZCG3gw4cdsZy9GCTIwcaK0JU5PIyMsvI8plX2lqspxGVCirO3P+twliNQSCCAIMhUxpR8DBSozONUoAfDCyCARaMdr2D4PqvNEjPQzEc1t0nWFJIbMHHpBabr8/zC5ArMP00PmHt4GLHkGB5WOGRGmdpczGdAZGMc8XQJUya/NhlygXNhDJCZxnBWIkNF5/N5JWXUj73XPyShzAmD+TQaAUePpWKC5pRuaUWzyO1AmsFWa6wGgOaAN/vx+sz6L8O4gRzZB+e1pTy8A4dxy6RUfdj2hU95T4jVunBBQljQWdyEDxhcPPAROBRKY47tSvTtKIiJhTIwD3Hz0lP0mjQiSRmbJLpCXespXYiuu+79y0oDb6lWPAIPI8kzsBaGmGHTtJFWokqOhVTJwmZUlhhKfkFPLwzHtO+1s7+X6/Van/ev1GtVs8G3nFmlrSOH2Z0o4y/vWsPD+1dplIKeO8bLuMnXni2+4NhDV/e/3UurF2H6hW46HlbuOFNlw+HyXU7dO77JvGe3WSLi+huBxPHeKUSXqXihipOTuGPO0lY93rI5aXhTJBzzmHbO3+Gscsuf9a2//sVQgh+6rK3c7BzhC8cvJvqxku55rILeMNLz+eu+4/wZ5/dxa/c+kL8nJSWygVuvu2F/OPfP8R3vnGIUqXAC158Llt/6qex1tC+56sc+2+/x7m/9usUNv7Itsms48zh3Gq1ei45c6hWqz8BXLKG570MOFyr1fpeqW8CNwFf6T+gVqsdBA5Wq9XfHn1irVZ74LjX8oD+DK6bgP868pofPt1CNm4cG3y3PRksHFskikoUNgYUtMEvxJgtHvQskW4himXGx0t4RUFJFcD6dAOLLaVsKW+gvGUjjbhDJerRTRLacQGvl1GslAkKHuMbikQTJYRSbNgwRsIYrbiAUYKCZ5jeUGFsOmDrWSWW5wp4nsdiN6NQtlTGikSiRFELyp5PsexD5sIEJidLjAHlsQpTaoJWK6MyHlD0i0hRxJ/02KDGiFSZyhSozCCiMWSmKZYCNm0oUSoGMDWOSDsE0jIxXmRqzBAvQmmsxIYxH5PGjHtFMmXwPfBKAUU/wOgehVLAtudsJerMIU0Lv2iYVEU2bt9CPFlhXBapZyFR2iEIBKViga0bJonqXTwfKiphcmycwuQkTa9NyQjSiTJ4gkKQUSz6eJ5gwvOIfA/rW8YqBQJf4OPjBx7TG8bI/Jg08JgoBnhCYMfLTEyU8TRUxkqIBArFAoHy8VQHe6TGYucQ09NbGC+WKJaLoBS2HOARULBFKmMebJnGGMvYWBGbFWmEGbZYAnpUKkUKvZjJ2TnOefFLmFRTCCHwA4ksBBSDEhs3biYUPXxrqZSLTE4U2XL2NI8sHMEXPaZLU4jKGN54QLHoUxyHyYkKk2MFpLBUpscYm67QnQsoCwPFgLHJKXpJh3JRsHWrk9GstUxPFehkmnI5YGysxORUmXE8pqfH6NQTysUCG6bKFKbKBBMTlLZsobXUwm/3qPgdBIJCINiweSPF+ZixguH/Z+/Nw2076zrPzzuuYQ9nuufc+WbOTkIChEEmCwRBFMQBUWxU6ELt6tayLa0q21ar66nHqhJHCtpqLQutshoUFRUEB0CxkWoRmcewJSFkTu5wpj2t4R36j3edc28g4IVOiMbzfZ48uefsab1r7b3P7/f+vkOjQUmJzC1Fz7KzO2XXBYqexUhFTyiyXFOs9MmMZTgX5H3DsGfwtqCZTrCzQJZbqizHZC15MJS5QZtEAzw3q1FasVhEpHIIJegv9ch6ilIFVpZLhtuBQWXBZYRhj8mWpdWKzFqyQYHJDXkRWB0M2ZzsIqaSMpPkylAbg7KKorTIECkGGWVPI1Rg0B9SPOoKZvOW9fUBK4czNncVZe4xmSWzaSrU7wuqMzVGebJM0+vn1I0lRoFpW/K+QRmNNTlStjRaUWQK3cuYt4F8extbV1ijGPZLZGPp6cgiM9imYbBUoK2E2uEX0DMRZSXWJC1hmVuWh5AVFlsJVpcGXHr0Ona3G3pyG7nTkGWSpWyAMgs4HRlkklYpFBEXBIPDhzhW7LI53Ub0BuR4eoVk20E/k/SWNMO2YL0JbE+3UEahrcQICVpQDIfIzcBOdZqVjRWKnmHJ9UB6skLvvxf3/v9g4qIarAubq+7ne0aj0WMe9KM5wCMaN31mk1958yfYmTWMTi7zPV9/HWtL5/VUH7zrY2QfuJRytsxV123wrK+/BiklzZnTnPuDNzJ9718TO3tQNRigV1ZRx8sUCjif05w+Q/wsu3BZlvRvfDzDpz6V3mNuPJhafQH0TMnLrnsxr/7gf+ZXP/Y6fvSJP8i3PP0K7joz4yO3nOP1f3Yz3/Gcq8/ff5Dx9S9+NG987Qd519s+BcD1jzvOxku+C2ksW2/7E+746X/HiR/+EezGxsO1rAM8MvELJFbF8dFo9DLgXhLt72/DBjC54Ofd7ndfFEaj0TcDbx2Px598gOfdBVZGo5Eej8fuAZ8A2Nqaf76bLgq7mzOCV0zqln7wiLqlalvCbAe7aJkg2d5dMK1qhIu0zlO7iBsMWD20yk5vlc3ZhI3Gcfe956jCMtXC0SpDozyTyYImRuLCsTVbECpL2wYa52grQZhWyMJwevssVeO59fYt8lmFiWdR84aFbPG1wETJZCbZnlRpchMiVeU4s7mgcZHpdsvOZE6mPFthRiYEcrJgQYvbdQQXMVVGVSXL6p1zkbbxNA2ExuNrT9s0VCpNZ+rGIZYM1XaFNILGwWS6IIsRbaBpakQMzFrBrNll4gNi2MPXikkVcIMGaSOt9eyemzOb14kC5QRt5XA0TLHcJneZiCUaqZCzlul9W8RewWTa0DQeQewCUFvaqoJFi1m01NLRNJ7trQWVc9ShZVGl6ZrPPDPdsFi0bO8s2JouaJynqgJ3f+oWfHBUrmbmI4viJLULmLal9jVyURMrh3rUMe7dDdQf2+TqQxl502M6raHyhGbGYpGxcqahFyz63sikTRMHtzWFRUujA7FWzNqaTVqaqmE+05zdmTKrG9RihtqZEsKQdpqltexOIFjk9hmqWc2iD3XTMi177M5bfNtiV3Kc32Jne86ZM+mj4nxgPl0ggqOuBNMwY8d6fNnj9s9ssrUzY+EW+GyO3NxCO8XMKHrDw2xu7bBoGgrZo3YVpxct83nLwu3gm5pKW5r5Am0krWtpg6cOAVk1uABTZ5Bzx0wGlnZr5pyjbVpqMprW09aO+bxlxzta72kaz3S6QGvNfNHgGkOoA8w0Tdtgo6dpoV007IQF6swOu5OGyV1T4qKBjZpF43DOJ9fHRcCdmTGbBw71FbSSqg2YSQoNdiHimpbNnSkLqQm5QG01hOmETPXxk4qdWc19p3dZBE+W7YIQTGeB6fYCnRc0jaeqa2RsWNSB+bxhu3HEKJDntqhrgXLLzCuPlAHnPNOdilZp2iqk91TtWExbJktgfcPOmS2mi5p20VDNWmIVqBaeLPSZ3Xc3YlrTOIMgsr054RyByaSmaR31QlI1kfnCsesrJtMa5zP0omBiBZPtc5SxZC773HbrJvNFQ25T09uyzcRrRFNRKJgtKoIV7MzmqHpBcI56XrGrfDJoiS0LnzKvtpoZ9XTOwt1CW1aEhcZu3sbsqg3OnJmwvj7Yf09+Kfh8zdnFarB+7YIfJXAUeGhnawd4xCDGyNvfewe/9ec3I4XgW595Bc994qn7uQDOZw3vfuOdlLNlTl27xLO+/lqEgK0/fTtnf+93iE2DOXKE5a/6agZPfCJ6afkBXyvUNWGRAjVVv4/ccxE6wEXh6pUref5lX8Nbbn0rv/LR/8Y/fez38E++4VH8+9e+nz97/50cWyt55uNO7N9/ebXkBd/+GN78+g/zrrd9iqZ23PjkUxz61hcji4Jzb/p97vjpf8+JH/6X/6CCnA/w0GI8Hn9kNBpdS3K0FcAnv1AzcwFOs69CAWDY/e6iMRqNngk8E/hnD/C8291zbl3k8XzJsBIQAhckSIH1BqGgCXN0EAQZaVyLJ1JIhZGGVkqsVnjRkGlP41KWT/AtMoakDZEaBDShQWSaMGlYKVc4NweBYi9KtRQWqaEKC1Ca7dkO/aWWIlT06EwuRIQQqeoG5yK5VeiOKtY4CDFpJ7KegirZK8uYyhK9RxGUiVKlVXIEFN4lSlUXEitCi1ISsedkJyTZas7snkhOYBeJdy0ojVQRISJSaaI2LA00s4XG5qvk04ogDEIK+isWOTO44HEhWUdnKk3pWu+YuF2amaf2yyhTYuUCMZ0TewWu9eSbW0StkMUApT2NdwiStmePAudcMnQICqILiUKn1H4O1LxyyaZeCHyEWZOGpUJA08uomgqpFeslnO6D3w3pZCnF5GwNTjLJavKsR+hoYS4ExKLFzmtk1mNxbguGR8iNZnenTmYEWYFVhlhBrdK1lkLQ4BFG40Kyxg/1+fDbvQxcP5kkB77MJPv+Imd+4kqE9xQqouW9+LbdD871PjlfZDZRKdX2Oaga4uXXsLu94MziHPN2xmIzUk7vY6eek6l1VvoZbUhatEL1qGRNkziiiHaBjo4gJCF6jFEYDbEGJ1LQs+40eUIlOiwk6puUKUxZLC1BvU2UgQUSlEAIQfQRFx0Kg8k1x/pHEPftUIQZThqk1viYXDP3rNbrOjXnyoV9C/pICpC+894Jfgf6RUNP96mERAWRuHJC4YHKNQibpjzeb1H7hsKYZNRAopu2WiU5XmerHl2kMIbMRnxMeVTEAFLSCrGvhwvRIQIoqdkTP6moaGKkVANEhLY1hEawqDTWJOqmDxEiyOjwSIQUZIuGevMcLpbEvEQ3M7zzbG83VK3DCwheoK1FyJrgEt1PaonBstQ/wnY8g6tnUPSpZnOCVPRKS3n5YeKWTiHbQJZpnAgY7wkyxTdoJRHBE0TERY/RATswFCZyVgviItBsnmOwO8FKRR0FzPYICA8NLnY7/yRJf/VO4B3AzwPf+FAd1AEeOahbz39+yyd4/TtuZlhafuQlN/J1T7rkc5qr33nte1DTEnlqxvO+4bGE6YS7X/1Kzrz+dUibceR7/2cu/cmfYuXZz/m8zRWAzDL08gpmZeWgufoS8dxLn8njNh7N9fO3fgAAIABJREFULTu38msffx3WCH7wWx7NoDS87u2f4uOf2bzf/dc2+nzTd95If5jxnnfeyrvfcQsxwtoLvpH1b38JfmebO3/uFdR33/0wregAj0SMx2M3Ho8/Ph6PPzYej91oNHrFRTzs3cAlo9Eo635+GvCHo9FodTQa/a2uLKPR6PnAc0kmG0dGo9FTupv+kEQ/3H/OL2oxXwLy5KxMEBIUWGERpIlJDIKgFLN2ThSQGU1P9ljS6wzzkta3RFV1eqCACAERPERBFGa/YC56PQ6Vayznq0nvEyV7PtrGC8q8oPILtsVZdtw2983uZt4skFISkQRg3jh2JmlKkmca2ZUddRupWgshYgcQ6yodS5eBdaGLIAKMTqG8oalT1pFKBagIASkiAs/aSsvwmIIyBxFRzmG0IIaaLGspuwxYoSWxKyp1gKHOz+uaSPqOmKU7u+hR2iAFGGkIEbarGbuzkoE/RhlOomKOqGsCIKZzVNNgFvPkkCY9xtbknY5kz28vpPRZgg6oLmA5KoXtaKPTqiWqZExgKSl0zkq+xLEnfRXh6DqzZp4aMuVwYZE0TNHQxkhTdaGqnfGIsknzszMzxDtrqibD+UC1tY1AsL6cY6sW10LeG1LkWbI07/bRhYAmOtAqZT95j6sFeyXkXsHupmkKEHON6LRNMzfn7tl9RCUTxTw4mjadBR9S4Z8bkaza26ShCdWC2jXM2xlGGUw1ACTTNjF7J/OWNjYoobAiQ0rBQgJSIuoZgkAQyVHRGMleKdCSHPdU2xmGCIOXyRL8nnu3uffcjEnlUStL+KPrtJedoo6RmGwACdHTNI5cFly+egVHN46glUKFiJQRjEyaphAJ3u+HSwslqedtckiU6bw5L+n8L5i3nrPnPJkZMJAlezdEIpVrIURWiiWED9ShRlm9bwLjQ8BdQDVunUdFyK3BKIVUEFxIujIpmWcZ7eF1qo01Iin3Thm9n7NVyh7LZo2hWkV5Res6rVsQtD5Z3fsQQUCf9DV6pL9B3J0RhaA+fIRoM8osWbXfdMsWZ3cWTEXLme0Kp1TSo/mkUZOd9kv4jGg0NHVaf9uCzjBa4kRLKxui1mgFotAEpVDeI3UKDFZSoqLHy5Q1plRAF4rd2ZRKpZ41EJHRY4RCIBFVdVE6/i8VF6vB+snxePwXD3TDaDQ6MR6P73wQj+kAjxDMqpb/8Dsf5pa7drn82JDv/+YbWBlk97vPdFLz5t/8EPMtz9nDt/LyF3wt1c03c/cv/0f8zjblo67nyMu/5ws2VQd4cCGF5KXXfTvzdsFHz36C133yDXzntd/KP33hDfzsb36QX/r9j/HjL308R9d6+49ZXi355u+8kTe//sN8+L13snVuzrO/4VpWnv01CGM4/X//Onf+/M9w8kd+FHv4yMO4ugP8fcZoNEp+w58L0f3+R7/Q4zvHwf8FePVoNDoDfGQ8Hv/ZaDT6GWATeMVoNBLAjwOXAC8ejUbteDx+a2do8VvA+4A/B3rAfyQ1bT8G/PRoNLqapAX7Fw/Ccr8gjPAIKfAy7bAbZxEhoPDEKAhSMalmRAlWaoIWOCkZlD2mbpuZ3wUEDhA+oGWagHihQTiEAFsUSLEgStWZH0jomhDlA8Oix2w+x6kWIw2ZNwQqlEiNVMCxPavwmaHXz8iMRAlBbqEN0DiFkpHp6Vs4e/M27sgqLBli0yCL1KAJIZAyTbCEgLZuksO7Uqm5BCTJxc3oiM4l3kggInwgyxWCQJY1aJUlPwGj00680YjWYURMxbfUQEzhwVoRRGoeZFkiJfRsSSVhsVOjeyu0wTAwGSEIaBzOBfR8AaJrDKNACYXWc4xNTohRpInQ8FCPBQ1yW1AoxWIhQCqKQrNNckyMhUcqgYk9jvYHCGMoB+vcXt3LvJ3TV7DlzrJbwTIeLS3zedzv4vbMCmzfInJJaBxZ3YAe4ooeYT6liA1lvoyua4Z6heWlDYxRSKGpYyAjGRvV0SE6pznfeIIA3Y3jxH6DNUfKHl4LRITCara2zzGfVpw257BKEoOnahyZVcksIQRsrjFaMl84IopQVeyoinwoMbMB812PnHraviLEQO09LrYUskQLmxqspkJmGWLWIETEWUvAY7RCdZVulDqFOQuZLlD3/jkzaZhWLUrB1ryFzhykbTytd0gJkmQlX9UBgeTQcIjsjB8EEq1DmmDVew1WJIZkcoGQ1NMGZSFaRdQG5yLRw7BnObEx5PadGToOsGIOsUIqRUBQtQ1kkdIUzNoMF1u8Ctw2u4Vz1Zy1SUOrz5fyyWlTkBuLp0Kb1MxEkd6UrY+YsodyLbNsSG8zRxtL67oNjVZidwd4Iqo1xOBRMr2PZguJ1Wl9QkSO6GU2VoaYNmPX30ZUmlYrEB4tQVtom5ZBL+KuXGcxzZj7lHHX+uSUuddguUUkZhZRRWSVWEgmT/XiHfM72ApnKMQxBodXaFcywh0aHRxSRBZuQes9iuTkGIUgVxmmlEzbKfP+Erlz+H4PETRH1SHE3dvIZvGQOglebIP1g6PRKLIfAXc//DDwTQ/eIR3gkYDtac0v/NaHuPPMjCddd5iXP+9ajL7/wHSyU/EHv/khdrcrzhy5haM3Gsr3fIw7fuf1ECOHXvRtrHzN1x7oph4GGKn53hteyqs/9Cu85973U/maf3zd/8D/+HXX8Jq33MSr3vARfuKlT6BfnJ8S9oc5L3zp43j7H9zE7Z/e5Hd//QM894WPYu0ZzyQ6x5nffB13/tzPcOrH/xV6+cD44gBfEl41Ho9/6IFuGI1GF+XcNx6P3w68/bN+9yMX/DuS7Nj/7Wfd5/1AnwfAeDzeBL73Yl7/wYIRKUspKkmUqZCXPnaZRJIgFbN2QS4FubaIzGB6GctFj+lkm0DnIEhyIDMypAmWPN9gZcM+XlaIrEDISaIQZhYIiPmC4ra7kCsSaaAnh/RijyUtWM1yTreK2gdCDJRWsbJkcXXEaEUvF2xHgZCaPHM0k10CDhqHuO0equkEdf0qexxLJSRWpwarWTSJaiXACYGQkTTLalOBolSiDkqgdsiuH/dKEUPXHOYy5YJphYxggqOF1FzSpvBgIfAd7UyVJVKAFpq8PEqcnYXBgIUPDK0iaotwjqZqUFVDMBYRHCFGlJZEXxPjXjhrcnib1o4ZjqgkhZK0DTil6eXnv1O1EYRc47bScxlrUVIxMH0av0tNpCfTFE/EgFKG2eQ8M9UFj5ASbRXZ0ELd4GuByktcfxk7n8IddzALNaJa4GSB6QwStFDUXTC1FFDHdp8V4hYemaepjkhvIiCFuyqt8SI5zPVyzXaVqHwzt0DjkEGxaDxL0FEEA1IIVoaS3RkIERHNgu0lR6kyojNE3+I8RCEJeNrO3TCTOUYacpWxs5iwlFmicPgixw0K/MKjjUzTTCWJIsOHgBUibRoEAQo2VUauak6sl5xpKnZl0kfu7CY6oy0MzAQxBtrWA4KytLQY7NGjyF0FwxyhFCGkHLOwZ00fI0KpNFWRUK0vQXYY52ZED8oIjm8MufPmGbMmEPYuv1BEEWi8R4k0/StJDd3ZcI429nDRcW6+RWM0k1MnsLMZnNtCRkFhDNMIxkiaGJKrp0i5YVZptBI0K8uU8gjaRNouQLmtIj7WTBYtpirpqwyZn0Vn0NSCaRVBp/eEbD2DbMjC1YgQCFbROo/ugouNiawOIqulRqwPmcqS6aIllxLnIyGy7xDaLiJkFlnXiEWi7uksSw6QvkZmsFhUrD/qWu6dbRG0Qvk0eT9Xn8M3noyWFosXgkLn6EHOZNbigqEd5BBBrB2izDeIp29H1Tu0D2GDdbGV6yXAW0g5H68A3tz9/98AT3hoDu0Af19xZnvBK177Ae48M+NZjzvO977gus9prna3F7zpN1Jz1Vx2mnNHP8mz/vIcZ17/OlTZ48Q//xFWv/Z5B83Vw4hcZ/zAY7+Xq5ev4MNnPsYvfvg1PHo05PlPuYTTWwv+r9//KG4v4KJDlhue96IbuPHJp9jZWvC7v/4BPvr+O1l+1rM59MIX4bY2uesXX70flnmAA3wxuLC5Go1GejQaXT8aja7rDCUe8qnR3yWo4FCSNFlSGiEEFoWMDiMMIWqcj2SqoLQZRaZZWyqxytC3A0pdkskcMKnBIulihDTdBEaQlwX5pZcjV9YQSgGSkFny3HGoCGS1x0ymWGOxOsO3gVIMsDJDSkUTUoNlpMBmqXK0VjIoJJed6nHlJQOK3EPTIgVEH2nnXe7Uua39tUop0TpNHdqmQXaUKI8gzxqWhgIpHLqj/fnoiVYhfECRinav9V5WL9qalM2kNUJIZGct70jP23a27r4bfZiyx/6fIpvjjpxCrK4RZdrNR1kmO3O2bj+DEsnhsF0ZIgdLSJsjvaf2U1xMtutLvYzGe+om0utlGJOs6KNSlPn5fe8sF5hME2LSbE1bye2f3kQvSmKEmZgntzzvITiMMswnPlHRRJpgnanPsNWeScV/DGgFvUGPYm2VoshxC8fmp+8ltIFGGKSSSCXQUuOiTJlWAhrhkDLlObkm5XgJKTodVkdxdEljFgn7MoClwrI6zNBIWumQ3QQL0vGJEPezj9K0ElaLKbvtgulUsqgd0YeUGyYliEAba/w2hLOC3dNTltQQ7wJ1ofHDgvbYSaIS+OgwRuKDIzcKekvUWZ7oYd5Bp0ur1g+T90q8qGGl5mx7jqr1zKYOpQRLyzZtLvhA07RoJdDWoLVE9XqolRXU+gAhUiaZD4EYItFHRAj0+4Z8YFFGIEpNEJrQCvCpASoyS241tQtULr1JhZTETo6lSRS+PKaJjpOpibHS0vgWHzwhs8RuGqQC9It0X2MEIqRrEkJqEiVgrEIKiVQSI9U+RdC3KWIAIHro5ykCYWnFMxwIYtqHSY1w2zXznW1/VIbWO5rYMHHb3Lt7NyJ6opZYJSmsZbpweFLkQowCpRTGKEQUxMwmnWRVEUkTrDqk7wOdCeJGzaY/x5nFJkFrCp0h2hap0iYDsk3GPCppTVeXl5BKEGuwMcPHiJUWaxWYNPFvL4gueLBxsdXru4BLx+PxU8fj8VNJDdd/H4/HzwR+8oEeMBqNjoxGo9eMRqP3XvC7fDQa/eJoNPrfR6PRr3V0ir3bvnM0Gv38aDT6mdFo9E/+f6zpAA8jzu1U/PRvfIDT2wte8NRL+Y7nXL2fzL6H7c05b3zdh5jsVFz6+AFn7F/xsnfM8e//MPkVV3Lq//g3lKNrHqYVHOBCFDrn+x773dy4fgM3b9/KK/76VTzusYbHXb3OJ2/f5rVv+5vP4TBLKXjyV13O177wURgj+e9vv5k/esNHyZ7+HIZP/Urqz9zKff/1Vx9S7vMBHtkYjUb/CPgMiZ73HpKt+tMe1oP6MiM0TbI/7/RIACZqJB4tDZIMHyJ9s7yv69mrZDfKNUbLlzPUq51RREB3JhdCJZMLgSAzGUIKnAuIspeysPKMzHiWehojDSfFMhv2ONoovAu0TUuIpIynEIl4jBQM8kQp3jsWqRTadhSrpiXTpsvl6TQZO9uoT9+JmMxQKjUgQghOn5uwM29pfcQLjdWRskwTA9U1myEGMCJl9cTUIARl8OmfqCzttEeTCmfVJl3Xwiki4ELLZNEyKUvaXokeLu03AbKjY0ktkCqdG5Slrh16saCXZdhBiTyxxMajL0dom7J56nuY+ylCCpZ6GSfX+yyVOSsrZWp8dMq1Ki9gBVgLOjNA5NwkcG43UlctzDVEiEqgpUJ4nyZBUtMsAlJodK5wwbPjdtn1WxS5IRIwCspBn6tOrnHqK59C/7LLQClar2iEZnfecN/WAi01s3OC6SISoicKgVE6ad+aNHXSmUYgu9AjTwzJSEIIkHtB0RH6XVODgtDOue2WD1C3Nc6ljLa9Zkx2BgyzdoGuanJV0rhAaZLJiLWazELlF9AIMmVxTaCIJTHAbqhwxw9jsgHCAjYgVdLRLfeTecds4xBGKmJeEmKapEQB9robWFx5kmIpvU935g0xwrC0mEwigLZNOW1GS6RS+zpBKSTaChAxhT77SAye2Kap6vJywRWXrXHsqhLdAwI4FxEhTSm1VPRLQxSKySxtPgqpQSRNlxYSKQUmqFRPGc1KvozC4GOgDQ4lRaIBAj2tyLvpqzGSpD5qu1ytgIhgdNK9yb3P1p4BR9tR90SksIEyiyghwUhMphEiEmyn0+xMJ4RzCCGJStN4x27coY5zdqpNnK/29XirvYJA5Lb7ZpzZqVLulVEUPYuUErSCImnqYgSbZSy6BssqS+UW3D29h61qm6AVhcmhdUgjEN4TZUNLJEpJpjVL/dVED42QyZIQI6Uu0nUzFu8Vi52HLq/zYhuslfF4vL+dNB6Pt4H17t//6fM85iuBN3F/WuE/A24fj8c/BbwS+FVIOi4SZ/1fdFSN7xmNRld9MQs5wMOP7WnNz77+g2zu1nzLMy7nm59++b7L0B42z8x40298iNmk5klPv4TFp9/Ad/zxJv1zM5af9dWc/Jc/epCb9HcMRmpefv138PzLnsN2vcN/+MAvce3jdjh5uMdffPhu3v6+B5ZgXnb1Ot/28idy8rIVbr9lk9/+tfexeNoLyK+8islfv4ett/7xl3klB3gE4d8B3zAejwfj8XgAfDPwUw/zMX1ZYQ4dwh5O35VRpKYkCwoVHUYpSrXKsl7D6Izc7BlGiP1ids+FTMquEIsOpELK5EgmBJSdBmIxaxBLy1QnLgOj4PAa2fIq0hp6DalosekY6ioF3kql8AQCKYdqY2UFYzSrw067KUU3FQN8YL1cYdn0GejkNaIEiMkMeWYzFbC601WFQBsFm7sVKEUvV4SmJjiHkArVNVjRpF155ZJlelCG4NMGkDBpmuM71z4pkhamiYLZomXRNNy7OeessEyPHSHLkwmGECA7xzapJHKP6iQ1MQqKumapKFCZRskk5hfKIoVAdFMxpEQKxYmNAdddso5SChccK4OM44eHDHs2FcsEilyS5akJXTQBoVPzFT1oadP6TcExdZyjxSpVG8lkyeGlZXQmaL3rpiCBcqAZlJp+oRHW4lxgNq0R1pJtbOBkhrM5p3cqzk0qJJIoBJWD2ldEKRmYPlGKNMFCoo1CCJmIgj4ZKXiSQUNuz+utjTRoqfBa4OOC9q5bufeOTzGvFlR+noKeY2rMfNFj3lboRUWhU0hsrgXH1/ocXu+hDdRthRKCXp5iXmzMEKhkV6/SxMcONKy03DL9FD44Cmu5ZH2dslhjcMMTaY9fRvSiC4YOZJlmVzX0im6CKKDMFdZITKkBiWs9hICUEqFTnhmA0d17rTPraFw3wXIeBBS9nEuODAgEtNQEIWjriJYSqRO9d1BYYkfhA9Bap2lgFGjS5kJoHUbkSK1ZK1ZQQhFCpA0tWnUTPmCYG9Ted0KmIEAIHteZCQoExkoEaYKl1fm1BJ/MNQbLGf0uRUdJCd3zax2JWuGjIdRdnKDvmkKdJmpRCrTQBBeo3RS6514dltB9djr2JMYoitLsBziLlR5apmPUmaWKC7QyrGdHiBEGdpA0blpTmAzRtORLkjL3RFXhFLg8IxuuMFxaRyqBjAIdc5b1OhvlRvcdkLFY5Gze+/A3WEdHo9EPjUajx41GoxtHo9EPk6zaPy/G4/EbuH/eCKQwxnd3t38UeEzn3PRc4P0d953uPl93sYs4wMOP6aLl51//IU5vLXj+Uy7h+U+59HPuc/qeXd74ug8ynzY8/ipN/uZXc/1778EXGUe/7wfYeMl3IfTFygIP8OWEFJLnXfYcvv8x302mM37v03/A+mM+wXAIv/WOT/GRW84+4ON6g4znf9ujeepXX0FTO/7k92/i1uu/CZZWOft7b2Bx86e+zCs5wCMEN43H4w/s/TAej98HfOxhPJ4vO7LjJ1i55hhqCVRHv1uxQ4aiR6YylMowMiMzen+nnc4wAtK0QEqBVAoBWHxHNZR0DDPKPKPXz1jMW0LrkaRiWh8/QnnNtaj+kOgcytXorsFq6jTJAIkTMVlfx8hyb8Cznvh4jnT6SyFSg3VieIwTg2NoJSkxxKBQ/T72MdeDUYimRUqJkoKjqwWHV0qy3KYdbmspc41rqmTwoTVKyH2KoEQgvUsUQanxMa1bGEmIgaBsOg5geblECMXWtGZrdn/akM1Toa+0RGqF7Gy7hRT4GHEoIgIVIjor0n2ESsWytMkkoctwlELsB7aXuiBqRe1bjBKsrNpEBbOK3KamMsttcpQL0F/O0SYV1ZnIwUj6tkSFCC6ibeDEoaM89ppLMblOrmmdc2IrGvJMklmFtBlt65lNGqSUHLnqGObkKdAm2WYXmqLMkmYnejarHaQ2bJTrRKnwLq1BaJFcIQNkQifKHR4hobTF/vkzUmOkxa8OqY6v4kJkPL6Vj9z9KXb9Nqebs5xZnENKaPtJ01PUPtmHA7mWGG3S1EgHmrrBastwJb1GcIF1eyidXw1aGFRMC+9nJX3bZ61Y4bIjyzzh5IhLTx4FY4ixa7AIBNngfIuWkmHPkmeSQZmuh8lSg+O8g9gFVyu5/7kyXd0iVJrQtj5QN22yFRcC3U2TQvRkOr0vYkjTI21Tk2+tJM/tvoOPMTrpAANokZp6Vzf01ZBLli9jaAcooVOzEeM+fRNgkJvU4JMmWJKIjx5HSLovKTFapumnEskIxMhEwwwh6cUICAFRJiohWhGVRMiaKCUqU8Q9qn83yYoyTVaRgkL2UCFS+8V+p7HSy3nMFYe47NgSxiRHzjzX5EWKQBBCEAcFS8OCteUeXkLAMzB9hnbIJfmI0eqVFKIPWUFpCkTdUvYyjvZS9latI6HMya95FMZkrJUr9PQA7wNWZhTGpliHziVU8dDJFS62wfrHwFNJwuA/BZ4MvPxLeL3PF/L4oIQ/HuDhQdU4XvnbH+KuszOe/fgTvPDpl3/Ofe68bYs3ve6DNFXL9YuPsPzHr0Ge3eLjV5Yc/df/msHjHv8wHPkBvlhcu3Y1P/YVP8RVy5dz0/ZN5Nf/JXq4zS+/6ePceWb6gI8RQvCYJ57kRS97PCuHSj7xsTO87/IXMjHL3POffgk/feDHHeAAXwC3jEajZ4xGI9P993TgJrh4s4tHAvqlRZXsu5nlUjNUBUqrfYe0srT317h0dJ3gI1omSqCSgiwLIDvKV1cZWGVZOVQCUE0aREzmEbabpKhBihTT9QJtFFpJ2tbhfMB7EjVIkrKOTFfph66ElIkSZ6XFKpv0ZE2baHxKoa0hWgtNuz9tWy40g9KytlKSW8WhtfT6vqnTZEGbFNgbA9Em10PZ6UQcydhASgEm2Y0H2TVhArIiZ21QUDWe0zuz+1FvCmuR1qKzNI2SF2iKQ4y0MbWeUglsVmK1woqcpvUolSGFRHXZS2k0l86BFJLcFjShYbPa4qbdW2hCzbFDPQ6vFsnJsSu0I5HBaq+b5EEue6yXxxhkPWgb6tYjtGR01SFWV0qUVeRHQHSDpJomGTZIgVCS+bTBOU+vb1laKbjs6kMsHxtQDDOUVqwdWUIWgiZUOB85MjxC35R4KfEerErW+maxQEwX5CI1B21XmJdZvn+OjDJYqUFK6pWkFfKzLWo3QwtDXvSYNFPmfsbcCFqjKerAsbWSI6slRiajE6SkZUFoIVcZRw8PGPYsWghKWXJicJyNcoNS9VkWGxyxp7h27Uo2ykP0bImxiqNrPfJuMyAGaH3gdHMXt81u7Y7Vcni5YH2lSNfNpoZESIWMyRVQ6dQU7U+wugZKGsizREXd3lmAc0hAdcW8j4G1QYmQIlEslUx6IEBIwbB//pxZm657CKBIFEHvHEooVvtrqM7YxnefJ4no7OShZ/T+BEtnAi0FkZY2JOfCXBuEhNyYboIlE81uv8GKactACGJeJOqm1uywxTSeJluNrBzSRO+Jzu03WEEaiKC0QgtD6Q0QmO3pqKQmzzRCwMZan0NLBVlmsFl3/oQi6khx/DjFyZP4mJp1q5JTZIgRHwL9cJhLhtdijGZdDjg1OEHRRKRVBC1RUu/n6B0ZbLBkl9LXThf3kKaNlnppiD66xkOFixoXjMfju4FvfRBe7/OFPJ4Grvys39/8ILzeAR5i+BD45Td9nFvvmfC064/w7c++itg01PfcTX3XXdR33sHtt+3yfn8lEbj+3r/gcH0X24+9gt87tc3Trn8ua6vHHu5lHOCLwHK2xP964//EWz/zDv7w1rdjRu+hufMKXvUGzb966RMZ9uwDPm5to8+LXvZ43v3nn+ZjH7iL9516AVecfi/2117D8R/4wc+hkx7gAF8Ae5lXexu+AmA0Gr2q+90/CMOL3KZGR8pU+OvoUcFRLPWYSoEPkaKwiL09jE7LAUmLoZUkyGSQYVREyJQPIxEoqZFCUpQWYxWu8ciYJli5TlW76idTRV3NkMWQMtfMtyPOx2T/rkFLkVzQ9qZoe9pLIRAX5PdIQSrWINGvlITMwmyB9I5UQqYmxWaWZeMpyhwmAtc1WErpjjaVOgCBQDqPktDGZIOuoki78U0gIDEqFXzSGC45POSTmwIfAmWmqVuPD5HcGIrRNeR37jLZafcLa0iO6G0QWFEyMAphMq5cPcI9VUvdeqTOMVIzoGAmE+1Oy/M6qyIfMAmBXZ+c6ypfp2mECGmyoQ3GpCZwsNJnfqbqzqOgzAaoMEW7lGkmlGZ5kDQsWiqqGPcL8HkzIQN0R8usFqkoLrrv615h7pdPGb1MFaKQFLrkULnORCh80UdtV+jtTdqtCfnODKsaehvrbEZwBKyA0pxvFrQ8X2paLamKHDudoZqGQpYcXz7JXaf/hsrPaVVA5Dlmx1GGBtfPCFu7KJGiAqJqyKViuSxZWcq59PgSi3lD7QNLgx5Zf41bdnfS2lS5v969qSN0obQIQpBJQwf0bMYw61PonDsndyMUXYOVblda411yeNB71FIpOHZymUbU7E7vAx3JrGIRYTKviU6TWbU/YfbBs9Qf+kLRAAAgAElEQVTLqLVC1AIlxX5zIYSgyC119/GwxhCrpEXaowj6pgUE2qZNEYmi9bE7r4b1w0PM7lZq6roNFltK1tYa2q3Awrs0bdSWRjnWhjnDso+ctxRFzrSjHBJBy6SzC/0hcRXCmqU+cydZBNETqMZAk5wjQ1MjZUdVjqCMRElD4SUzCV6mY1RCQWf57mNyRlQXfAcoIZOerCiIVuGnE4QRWKn3tfx3n53jQuDE+gDlcpaalr7uI7xiMFhnqRxQmj56jwqtxP02mPqFod2tUVLhl4r9vLuHAhfVYI1Gow3gZ4GcNM16JfCjF+qyLhJ7YYzvGo1GNwAfHo/Hu6PR6K3AD4xGI9HRBJ8C/J9f5HMf4MuMGCP/7U/GfOaTt/F1vV2edvffcNuP/Rfas2f3/4jeM7iCmzaehiDy5P6dXP6Sr2Vx5Ql+8aO/RE8v8+xTz3iYV3GALwVSSL7usmdz1coV/JeP/wbbJ25msrXLq9+o+d9e/MTPcY3cgzaKf/Q1V3Hq8lXe8Uef5FPrX8G5M3fxjD9/F0ee9fQv8yoO8PcYv/D5XANHo9Erv9wH83AhN0lsrnQ3WSEgvGN1OWOW96gbR5H7CxoscUGDlcT6TuukSRACnRkaQLuMvjmfc6e1ghhRaFazVY4NDgMpH0oIwaEcVo8OubsJTH2kbiNNBFQqcPaKPYAYzruk7WuwoDuu9Hej7KepT7QGAQjnAQmdPkUZDbVHa4UwKTcLf36CBYBNjaMMEaUirVAIaxHeILRI+jAXETqdQ2EMhTWsrxTctzlnqWcZlDnzuqawFqVzdNEgJw6pZXJ9azyeFPZcyj5rRcHMGJSUaCmp24DQmiPlUaYiw8sZebHGarG0v+6e7TG5gN61cBVSJotuILk+9hXrfdIUTSdKUyR2ND2TqGhAWWb7O/dGpelGCBGBwA8yuAfsqRN4n6zEAYoyFf+93NDLDUWmObuzwDnBRnGM1rYMTYnUGoXElcsYeRq1mNLGgM0GHC01tkr5a3sNVmEzpFCE6DFdQymkYHmQ0R5bpzgdqGdzrCzJ8uRu6URDLVpillEAcjFDqj6NCyiTdECEwDCzrK8MEEKQ5ZrFPJ2T/jDDf9ZGne70h9qo+/9eSeogaH1AScn1h65BScVOvbt/rEootO0mREqnkVdMBhd7L9MbZCgXYZooglmmmQWJipFMptdR1hJjJMakwTqyVjKtJigtz09vZMrlOnV4gDrrCTrlOYnkeZjoqK0jKoWW6XOshMbtZZ0pi7HdhkZgf4IFYCU0QN01k7m2YBoOLw25ZLhKCJHGrfD//tWZZIIhBDL4tEapEOsbYGfQ69Nu73LHxBGF5iQQ6obYNGnKLExy/9MaoS22baiF3s/Q26PVAoRuTC6763Lo8IC7pwqdO+I04tqAjx4pQUuzP8W+6+wUoyRHVkva7ZJ2sYnb2UEKyfraKVqTKMj7BiSdOU66qLDUs4RMU2watIHWP/w27T8L/AXQjMfjOfDLwM98oQeMRqNnAN9F0m/9xGg0KoBXAZeMRqOfAP458N0AXVDxzwGvHI1GPw+8ZjweH4gz/g4jtC3v/PU3ceKP/yvfd9vv8ZhP/CnTv/4rwqKiGF3D0jO/mvue8TI+cfgfYXPDN3zXE3jsD7yMwVc8mdff9ke44HjR1d+4vxN6gL+fuHL5Mn7sK36Iq5evQK2c5q7B23nNn3zgb3UIvOTKNV783U/kxMk+m73jvOXdc275wK1fpqM+wN93PFBzNRqNntTd9oA5WY9ELBdL9E0Po8ukp2pToSmtpexnZD1LUZj9YhAp9gsP7yNapSwqJZOmphymqcOJtRNctXKe6r23+x9CZGD7FCZpX4SUyKIgjy0bywV5YRAxMG8i0VsODw7TswWr2fD8QV8wwULef4K1h9VDZbJ9zj7LrazLklJdHpNWEmEMNO0+NWmvsBSZ3S+spFTEvMAdPUV7+UmiiMkIw4Oydr/BkkIyKAyXHxvSLwwnB0e5dOU4hU7nRSmZGlklKbMUjutjxAnZOSeSmjiRjs2H0GlYkhZMCuiZ3vkmEChNQSxyYi+9RuVrVg71KFc6W3ttoD9Ar6wipNyfnsUY0+68scSuMb2QYmZUF6YcAj01ROUW95gR/ROXpIa5W8+FBf4Nl69xyeFEMqpbT2H6aGWoGtjcrCBEZNC4fg+jJXE4JJQDYhSIpk1HIZP1di8rUwMoJGWRYWW6llIILj15OVIIjqDoZRadW6y0CKuYxzlzbZFCI2aTRA3zASEkShtckyYsw16iru4dP0Cvn91vCqelxFyw1gthtMCEnIFY5crhlfuapUylmkTnicJnii47TStEjMgu2+xCxsWeVkzo0IViS0SM9E26Ty1bbtn5THdfxdIg49TGEsacPz7RBR+r7pi1NaQIY0XsDEBC04JKmkolJWpP5wdkyuyHgMsQ99cDYKQkyPPUVKMVo9UrOTk4vn/trU4bAzHEZEQRfZoqK70/BWwGBdtXXEowmnn3WYxNTWgapDUpBiFCYWxqzISgZ3qgFDEJM/evj+tyt3SnX1tZKzlx9RBlkilLjBEXfdK1qftPV9eW8kRr7LSR7bmkATf98zGFSu1NsM5fKy0l1ijywrB+fIBQKSvuocLFOgrcNR6Pf3U0Gj0BYDwef3A0Gm1/oQeMx+N3Au98gJu+//Pc/7XAay/yeA7wMCG0Dbvv+gvu+YM3c2yaxvDmiqtZftJXUF5zHfboUUKI/D9/NOZvPn4fg6Wc53/bDayspd3Qv7r3/fzN9i3ccOhably/4eFcygEeJPRMyfc/9rt53U2/y1/zfj5SvYXf/cuMFz3tC1/fsmf5+pc8nvf+9jv54C2Gt73tNq4/2/LUr77yc/4YHuAAF2I0Gi0BLyKZLe29WZ5H0gf/g8FqscwVwyvZ2Z0jBag2uXqpLGOpZzFKYC34vdpEyAs0WIkiqJTppl+SrJex3B9QXhB2C3uNxfnHXAhZFPj5nFjXFL30uNnCE3M4urJOfa6mNBdspHWFFuL+E6x9J3kJRT+nEYFoLUJIcA3oEnHhBKs7rmgsgRRMmtvyfPOiJEqAF4Lq8Cpog9AZssiAZAwQQkQagxRhv8EC9ulIQzsg1+eblizXGKPQCMpM07rAbgAfIQqNlBJpTJoGKgEtoHUKZfXtvoPahcV5qQv8lacSZRKoXc3yWslsusP2FKzS+MPHEcfS1EtrSYxJypbc0FJh7ENg0D9/nq3ea7Aih80GTzh8pDstikpvQQP5/9fee8fZcdV3/+9zptxed+8W7UqrVTuyLdnGDVxwjW16wDgOBFMC/AjkyRNIHtIgkBACmACBJw3yI7RQAjGObTBgG2ywMdjG3ZbLSFax2kparbT97m0zzx8zt2zVytoirc779drX7s7cO/ecM+Wez/m2yPjzDH6MiiElY8WKn8TCNBkteLiHx0iYFrYboRLzSK9ZwWDegIG9eB6IQjFIcCCJ2VGklLTGcpQrFcIRi2KhjAyunXQqhxlvw5ImpjSRto1thTAiYSpembKwESGQY6PIpMANrAyWaTM8NIZlWMQCQWqHjPq5sQ1ksV5oORr2rbPpbJRsc2zcZNo0JKNemZTZTDJUT8gRChKfhOMmqaYE/WP9wbVmITzffXNifc6ahdbwQEjCto0VMjA8GAMOlPsYCuKQZOCmawiJYQtksCAgpQApa7XaLMsmYsYJm34KfiEEbrmEZ/hZJqUUSEy/WDNgSwukf/8Lz/8cIQSe5xE2DKIRk1B7lPIhG8s0fTHaIPRlEJtH2U9bL10/GySGgSX9VBCiQeQMe2W//MHYGF6phGGFcSvCF1h2CE+OIoC4FSPf8Mzws3GKuhi06vuqBYorXgUDI4jB8muyGbJeczMR8d36ZMS/Bsr9vjOdGY9DkNnQDI5vGIJiyT/vkYbnmhXUuCvPowVrtgKrGgXmASilYsDqeWmR5rjEK5cZ+OW9HPrxDykfPowrDJ5sOo2L3nUdHeu6aq8rjJW4/X+eZu/OflraE7zy2o1EAx/vgcIgN2+5jZBh87vr3qBjbpYQpjR526nXETXi/GLvPdw18H2aNoW5bMPM1RaEEJx73SUkvvBFHhpsZ9Oj0HdghKvecFrtutFopuDHwHb8WN1xcVgnGyHLCFJ/C2KmRyFsEU+EaWnzLRHF3gPB6nhgNGpwEYyETMrRCLLoiwPD9oPJ5YSRrLoQem69vlFtXzQKfX1U8nmi0RB4LoVSBRCk4hEGLAhbDbE9gWuaaEzTDpiGoC0jsU0Ct70i2BYCQflwH2OFfiLZCAgIhSMgBghbIcZCdVERDUexGuJ9jFQCWRyj0hxBFPwJp2X6q/Su5+KWQVo2wi0gLdufcApRs7JJMd6tLJ2NkspEGBotEYuY5ItlhAGFfAXDDmOGwwjTj+mKRSyGx0p1CxYeAvwEGQ1DaEqTVCiJKS1GSiPkK/5EfCwofux7eYzWXPoM06h5CBiGRNg2nbkYpYpXS+kOvpXCwy9QHIra4ywaVbe5qnvgREKWZKxYxiPIUCkrIA0qpQphL0YknCDe0Y63ow8MAxeQFb9wLFKQDPkLqrFQhHLZrVmZwqaNEC4RK4IXTdYKzgtpEF9/Kt6hHTBUwpI2XsRCemUoFf3z5XqYpk25kMeWNuGg7eGIRTwZJpEM1a6r+vXgf26uLUGmKUpvbz2XWuNCQciuj40QgqgZ9Sf3DSfKT0nviyk5QWD5YkbiSRfDMjAMg9asyRPb9hB3w4RNC4r+eS27Jf8eCzJjVq9XURVYXv3zYmYKS+bxXBfh+fGAwq4ncLCkWSsKbBkmnmn591X1WpGmnxkRQTIeomNFEiPdz9ruHDI/+dxLKcEr+23xgoLV0sA0fIEloTYmcbsdrzRCZdB3qTTCFoz51sVYKFwTUCHDJtOykki6uWEsJcXg3jft+v1qBvGgVYtsxS1jmr54lKJUe108OPdVCxYemOk0XiwKfYHACp5T0vCtVsWySyZRvz+qVrnjwYJ1l1JqExBSSv0IOAf43/PWKs1xg+d5DD/2KAdvupHS/n1g2TzctIHfpE/lfW85n44V9ZpVg/15fnzjUxzuG6V7XTNXvPYUrMC/tuJW+MqmbzFSHuW6da8nE04vVpc084QQgt9Z/2rKZbjvwD3cuOtbZOLv5syVy4/4vjVvfxPybz7C05mX0rN7BTd94xFe+cYNNLcmZnyv5qRlzHGc6xs3KKVOysJqIcsXBdKyCFkm7U0mZrguOqqr7XLC72oM1toVWUbKWQxh0BskzZi4+FV1jav+3YiM+K5a7ugooVSUeEzgeRXMbJRUKkI0a2BnGhZLGixYNMZg2TZhqvV0TCRlMP1EFQJ/ka8yMgxxSTySYGXCIh1JsN/IwL59SCkJ2WHaYs2U3BJ9+UO0nbmaw2P9jIz017IqWtIAz8VF4FY8jESScDyJ2eSvI0shcauuiGKyJV0IUUvkYwcp2/PFClbzMhIb2hnYOYiQgpZMhP2HR8Ew/Umv8GPMqumoG1mb8dern+/fztjYGKVKiXw5j5QGEcsXWNVkFVULVu28WBaWaWCZvlCpUs30iCdrk80qobDJ0ABE41MvYoUsg9GCbwkKdywjbPv1ksqFCpVSBWmbQTFY38Lluv64eYAnJLGQ76qVaY76rqhmPaNbLuO7SIpQCKppvg1JLJPFLOzzBZYIIWMmiAEojIHr4kmJZdiUxzxS0XBtbiGEoL2zHtMmG62DoemnuNGQyaEhSMVCtGWj4/atSXfjAXuG99a2GaYfD2jIuvWlEVP6FpdIzGbEhd7Bw3ilCmXDpRxcT6Y0yYazeAVfWHVnltMWq5Yt8EVWtViwUc0e6eEvIVXKNYtrFcswg+vVxTRMPGmAaVE1gxlCUgYMz4/xK3vlYLtRW5Ua1wdLwpjn145y3cBF0AjuGb99tgyzLNQFnkcpP4QY9ZOz2PE4xlgBS1pkIgn6MxVcaWCv66YtsJ5WSaUjFIZSICVmtCHWM1jQcPHb7woXK2xgSKMWgwXBohK+9RxAGJLwym5ct35e6i6CgpZ0hETUoinVWDqgKrDqlrG5ZrZZBP9bKfU4cCX+2sufOo7jzFurNMcFYztfoPe/vk1+y2aQkshFl/DlgU525w3e89pTUQ3ias8Lh7nz1mcYGy1xxrmdvOyy1eN8Zm/d+hO2DuzgJS2nc3HH+YvRHc0C8eYNr2bs0QoP99/Hl5/5On8R/1+saM7O+B4rm6X12mvhm98gc+rVPDfYzs3feozLX30Kq9fnFqjlmhOIHwRxvr92HKe6tPlK4DeL2KZFoTrZEA2TaGk3TJyrbm+1Fd16mnbwM/alQv4E9ZBlQwUmOhfIhkxcxoTJuhENBFZ+FLNJErJAhjwiLQlCIZMS9cQW/gurAmu8BUtGInWLhmUhStW/zWrisXobbAspi34sjBEBKbClhVcqY0qT7lQXKxKdvjvcoRGMvMALanhVXeeqFiHTMAkvy9WEqCEkbpCtUE4hsBqJRyyElJRdD0vIWmyYEIJY1R3JMPx08KIceFyJSeNbJRzE/+QrYxQqBSJmZJzFEfxaXG7NguW7CNZPRr29VjC2hjDrbQlIZ6PE4qFx8UuN2A0JIdapHBHLYN+eQQpjJXCppal3PQ9pmQTeb0hhIAyTuOVfE6mM/7uahCJihUna/qKZtG2qtgMRiKdQYP2zhI0Zj8DIABR8C44rDERZ4lY8EvH6RHki4wRWeGoLHcCyXIyWTGRcX6tYRmAhEY0TdjOwYIlaVsBGDOEXjI7FbQ7gcmhkGK/s4dlQckuEzBAbm08FoD/vi5KWdBa7+lnBefakAVQwLSNwqRTgupQLJSquN+7ejoVN5IgRFDCWtCeWMxY7hBe4vUXMiL9AEbhullz/UWlIg7ojZR3b8pPZCCmQpUrgymdgGibVN9SSZwhBSRpUW2Mn48iDZdJmjogdYjCdpZRIY6WSkz4nmYlw8ICNDDWNy8hZzTZZKpeJGGBEPEJBnH4xSNBhNIhbYRiEV61C2jYyFMIqVu/beq05w5AYhp89sHFhwzZ86/iUSnOOmFWgg1KqF7jCcZx/dRznX7S4Wtq4hQK9N36XnX//MfJbNhN7yVm0f+Tv+Kq3gd15g2suXsXLTvNXJDzP48mHdvPD7z5BcazMy69aywVXrBknrh7Z/zh37bqX1miOt6y/VrsGngS84yWvZU3oDAgP8dkHv0zf8MgR35N6+SVE1yk6nrmDS073H9t33vI0D/1y+xGTZmhOOgr4boJjSqmKUsoFPrrIbVoUqnV0ZDqLDIcJdXRgJOqTGhFMuuuWrOqEPQg6txpc6qpp36ewYMUiFomoNWnSKmwbYUgqoyPIcilwrxO0ZKL1JBYNbjjVe1lI6f9UE1GE66vRQtYtZnSvINTRUXO9A4inozS3JkikwhTcIm5bM5a0MCL1iXfVJU4KP7GHQNTiixBubZVcBoWVq1Qn1dWsZzORits1i6BRtTZQF6irlqVACBItzcHYmcFEferjVpM+DRSG8DyPiBmupZuuBOdrogVLWPUJd6NgDQXJA0xhkk6Mt1QJIaYVV0AtC2wiapMKhFgoXE+GUY2b8VwPIyjYC5Cyk+RizZNc6GpJNRom02KKRYCIFfFriEkbKxZDSIk3lg+snoJIJU4qlKIpmWI6Gj96JguWFGJKcdVIo4ugZdv4FkiBEYtNeq0hDcpehUjUplApUcp7eBUPz/QoueVxqepTmQhdq5vGxcBVrwk3EDCGZZJqjZNJClIxj01bD1BxXYwGl7pEzK4JHsswSYUSxMLxmsBalerilMxaJL7VrexWLVhTT/0t28+UKKREuBV/RcMwamK94noY1MesJCw/66BpYsUilIPaetUYMb9dkz/LMCSxIF7QanDPrI5RxfOLHcuoV9tWvWXSE6yudq4FM5UOjhtYrRrmn7Ix/quhKWHLoiPUTS7cOuVYzAWzjSR/ynGcLzZuUErpZeUlyMimJ9nx0Q9x+I7bsZqa6fiTD9L2vj/iqw/08cL+IS4+o51Xn+/HXJVKFe6+7Tl+ddfzhCMWr33zGWw4q2Pc8Z7t28w3nvkeIcPm3RveWsvGpFnaCCF4/wVvJkc3lUgfn/j5VxgZm7liupCS1rf9PsKyCP30u7z+jetJpMI8/KsXuPOWpykV589XWnPC8cfARsdxjOBHAh9f7EYtBomIRXs2RtsGRfyMMwl1Lh8fhD9BWE20iEizmgHNrE1GJgoAaQhCtkFbNjopyYUQAhmJ4ubHKDz1ODI/gicFmWSo1o7pLFhAzU2wGrAuzPHWA5mIE2ppQYbDvhuVaSClJNMUxTAk5UoJN5cltF4RXTHZHVkIP9ZFColtSt+VTfqZyggC7hsXBKufO90ktBHTkMSjQcKNwAWwcfxa0hHOO6WVZHsLiahNNh4KgvynPl41ocahsUO1/2VNYNWPXT29hinGCZWpXAQNYZCOH1223rZslOUtCdTyuit/Y7bBqmh3Pc+vfxQ0KGxFiYfikzzoLNugrSNFtrnuiicbYueqx2sKZ0jYcSwRwrJMv85acQyvXGH/gMdwX4nmaJZ4fPp5ROPiQON5fTGIhmsgnYiQiNqEbIkZmWxBM0RQysASFMhTyvvuuGXhgufVUtX7x50scOsWrOD6s3zXUjskKZaKiEqZeMSiPVdfPElErXpBYVktWGzU7jEpJML1AkuUoFQJBJacWliGAvEm8RBuBSN4NtiBQC6VXaQwiQfCsG+0wraeQYp2BNOUvgALkrhULUgTnxdV2penWLmmuebq6fchGBPD9dP7h6mN2/KWOJ3NcVYtm2wRq70/cGVudGOuxo/C+OeabRmctqKFzub5C0OYrcD6nlLqlUqpxqWrj8xHgzSLg1sssv/b32TPF/6Rcn8/2Ve9hq6P/T3RU0/jv362hSe29nFad5brr1IIIRgaGOOWbz3G5qf309Ke4Np3nM2y5ePjqh7v3cSXnvwaQgjee/o7WBZvm+bTNUsRKSQfuuTdxN1WCrHd/P2d36ZUnlkk2W1tNL3uDVSGBqncfStvfPtZLFueYptzkFu+/RjDQ4UFar3mOOdRx3G2Tdj2o0VpySIjhKCrLTHJDay+v2rBqgd9NyKrFiPbrteOmTAvnThhmUhoxQqsbBYpJdlEmGXNiSBAPnhfo8BqsGCBb3URQT0r8IWe34agvUhiCZtMS5KoLRDG1FaJWCY3zoJTa6+QGJKaBUsiQbpYET9zYuPYVF/f+PtIZBLh4PV10do4kZNCYKZSwXb/hdNZsGJmFMuwKVWCIsBmuLYaX80WB/VzaAg5LiZnvItg1YJlTzvJnQ7TkHQ0x8YnggjXz4swfDfFcsXzrVOGwXDepTLFeFZJpMK+hSRA2A2iL7gWWqI51mfXIoXENAVGPF67Fl3PFyXLuzMzWt+qbU5Gjz1JUqNYC9kmLemIL1rMyZ9fFTiDxSGEWcIWgfgJrH22nN5dEerXjBFPYcRjGEY1HkkwPFLA8lzaMlFS6br1LB6xkEGkT/V8C8PAc92614frBtddYwzWNBasWlybh3Bd0qkIXa0J4kHylJDlp4bPpX3Xw3IwDiMi5Nfpcj0M6de6qlqTprv2hBDjrFdALeFHptOmfVXSf02wzTQknS3xcS6CU9GaiZJLjxfAxjQLR9lkeFyCk7lmtkkuatYrpZRv//eXav54PhqlWVjGdr7Avi//O8WevdgdnbS/+w8ILfdXAn/46x3c/egeOnNx/vD1GzANye4dh/nprU8zli+z/vQ2Lr5q3TjTP8Cv9z7Ed577PpZh8Qcb3866zJrF6JpmkbENiw+//D38zb1fYDD+LDf85Fb+6lWvn/ELP3PV1Qw99CCDv/4VifNexmvedAb33rGZ557cV0t+0dI+/SqW5qRgVCl1F/AAvrsgnIRp2mdFQ3ILj8kxVEIIwt3dfrrv0ckrvf576/9PNXk2E0lkOELp0CGyyTCymixD+hnzGi1Y3gQLVmjFCj/uw6hb0sCvAASBQDENWrqaGH1m/6TJ7frsOg4XBkiHpnYbM4TEMiQlYRAJmeSFxPM87KRkbGRyf42jFFipRMiveyXlJBfBKsIwAgvcKJ40prVgCSFojmTpGd4H+DFZ1QllVbwBWCETw5SYpj/ZF1L6meYaBGZrIkPOXsaq5pZZ9eNIhAJRY4cMKngUihU8PEIhX2AdHCwibEGYydfPVMhpLG9hu+ryJjHCiXE13DJNUUIzxFWBf62eo1qO2XoF410EvfxYrV7aVN2rWpL2jRwgGq3glsMUygUqtcLPRxBY1QWQTBbbiNZcQ0eLHuVyhVRYQlnULLzg3xtRI07RGyMkA8EaXAOFXTuxmpqD9P++1bbkNlqw6ln5aser1nmrlBDlEuFEM9mmGGNlP8iuNRulycjQmonS0zdKIZ5CDg8xYsfIUk8qUY1VA7/e2GypuQiKChj+c8I6gjCdSFfbZIuUNASUJ9+X882MTxCl1AqlVDtwq+M4MvipumN8YmGaqJkvPM+j/+d3s/MTf0exZy/pK65kxYc/WhNXP390Nzffu42mZJg/ue4MwrbB4w/u5LbvPUGxUOHiq9dx6SvVOHFVqpT4nnMz337uRqJWhPe/5D2sz86cqluztEmGEvzZy96DdG16Ig/yuR/9rFYccSqEYdD6jneClOz/5tcRpSKXvlJxweWrGR0ucsu3H2fz0/sXsAea45ArgHvBL8/S8KOZQNVSZNkGpjk5xbQQYDXnMFPputVoYgxWwzN+uomrtKyasGoMdpB2CHd0tC6sqiqkGqORbcJqakZY4wWW0RALBWDE4r574AT3rLgdY3li2bSTer8mleTUlU105uL1voUqdWvVOAtWNTnE7Fa2k1GbtqYY6bjdEF82uS2xDRuJqnUNGQWnpilczSonCBl+4VyBoNIQh5ppiZFsjdU+p2b9axAqmWSYC9etortt+nilo8EwJc0tcZJZf/yH8/4EPWwbddGqtl8AACAASURBVHFcjXubhbgZF4PVcE1mEiGaUxGaUmGMeKJ2voQ0iCVm5+pYdRU7VurxeAIzmUQAZio95fmrXi8jpRHC4RC5uI0hJTKwpB1JKNSMvcF3YzUZTdH1rUkJO2jLhAWG0zo6WBldQyqoC1a934s9PRT27PYtWNUYrEo9ycVUhGJhDENgHdpHueLWYpvq94SgOeW7ea5oidPV3Y6pTmPYNShTTRrjuwi2ZqO0Z2O1QsqzQQqJaViU3FItIcfRCqypqFnm50B0Hw1HsmDdBHwFeL9SagWQdxynF8BxnJMyoHip4JZKHPj2Nxm8716MeIK2d/1/xDaeXtv/4DP7+dadm0lGLT74pjOJWpLbb9rEjuf7iMZsrn7DabR1jn9w7xnu4ZvP/je7hvawLNbGuzdcT2tsblbPNCc2yxKt/OEZ7+BfnvwPXgj/gs//IMwHXntRLZh6IuEVXWRf8SoO/fg2Dt58Ey1vfgtnnLecdDbKT3/wDHf98Fn27RngwsvXTLKeak4KPug4zs2NG5RSdyxWY45rgglXc9YmsqapliW9vrvBemNULTrTv2amSYqMRHGLA+MsVmY2S7Gnh3J/P1Y221AHa3K6dyuX81fd8Vf8l8Xba1nnhJTENp4x6X1HouoGGKnV+ArcoIDmFVHa4+MnzEfrIgi+KPA8b1oLFvgLR4Ztw2h+xqWAsBmmOdrkZ3+ruo1JMc5F0POCWKzgOMK2/QKrE1wkIzO40r0YMs0x+gpl8gN5Bkf8mNpcawK3MsTQ2BDFquCbjQXLsuqWt4ZzahqSNR31uUUtO+aE2JqFoCbuhMRuaycWjnN439jUFqwG0ZIMJUkakrIUHGqencCqJbmoZos0JBHbpCQkphTEDD8ty0SB1ZaNjk8z39AOd2QYr1KtZxUsVEhz2ms7t3oZh194gbGxEUqmgZkOkkc0vL5qZcomfUE3OlbmQP8ow6MlhAQzWEDIJEJkZimIG7GlRb6cpxiIQfsIlr/ZUH+uLazAOtLV+rDjOF8Cfh+4Dbh6/pukmW8qIyPs/tw/MHjfvYRWdLHiI38zTlw9tqWX/7jtGcIhgz+57kxEocyNX3uEHc/30dGV5nfeec44cTVQGOLbz36fT/3mC+wa2sMF7efyZ+f8kRZXmnGcklvDW9b/DsIssy38M/7vrQ8GBUmnJvva12G1tdF/98/Ib30egK41Tbzx7WeTzcV4+tG93PLtxxgaGFuoLmiOEyaKq4BzF7whJwDCNP3JfTjsW68muq81usdNSITR+Bo5i8mzDFK2e6W6+1FVMJX7DvobGutgTfiMyKrVtXglgGXxNuJ2PeZE2vaU8S8zEbOimNIkEmToa7RshMMW8QmTwKN1EQTf2uC6Xl08TmtNY8b9VVYmV9CVrCfskFKMcxGspmmvnhMzlcaIx496bF4MiWqCg0H/uZtKhmjKxYiExDgL2mwQocCKNYNojmfipGKCjsy0L5k36m6qfpyimfDre81kwUIIUuEUQggSEQsZrgqsmc9NLflMpVrkWnD66iZUV5aVbQkolfwEKUc4x16xHqfsFku4Y3loEFgzCRYzGiXT4g90NBlHhqvxhQ0CS4z//GrR377BMT/D4gxlCGaDbfiW4JGSn3k4ZBx7LF11EXYqy/J8cqS70QNwHOdjSqn1juN8q7pDKRVyHEdHnJ9glPsPs/vzn6O4Zzfxc86j7fffNS6bzyNOL1+6dROmIfnjN57O4O4Bbr97K67rcc6FXZx94crag6BYKXLXznu5c+cvKFaKtMVauWbNqzmtaf1idU9znHNBx9kcHjvMj1+4k63undzw3QofeMO5pKbIciUtm7a3v5Ndn/4k+7/+VVZ89G+Rlk2mKco1bzuLe+/YzOZN+7nxaw9z+WvWs3JN8xSfqFmKKKXWA/8IrAUMfNmQAf55Mdt1PCKkJH7mS+rZ+iaJp/rfRk1ETT6OYUhctzJRF41/TTQ6eVsshoyEKR8+jFsogDveRXC+yYTT4wrbN04Wp5ps1q1GRyGwAgFUcxGcwV3R/z3rQwdtERTLLvlCmUjIrGeArMaxdXQQ6uiY6RBzRrXIsut5SCEIWQZlyyJiC4bKR2ldDEfwxgpTJiepYqUzZIaHMefYGjcb6olWAiEbxL1VE340UhVY6VAK08hTJo8VjdVO9hFjsGoWLDf4P0gEEYlQHBzAHRuru+DO1OZIBAYGkLaNWyxSGRwM0rT7x7flzIKlqasDozBKfHk9KZmf+VLiee4koVgV3PliGWFIP4vgMdzb1eMPlUZACOw5EFhmkLxjwS2gR/HaiYVoPjOXDdHMP8X9+9l1wycp7tlN6rLLaX/Pe8eJq4eeO8AXb9mEaUr+1+tOZeuDu7jvZ89jh01e87unc+7Lu/0vEs/lgZ6H+dgDn+G27XcSkjZvUtfwoXM/oMWV5oi8atUVXNp5ETIywr70z/n4t+5nT+/wlK+NrF1H6rIrKPbs5eCN36tttyyDy1+9nkteuY5yqcJPvr+JX965mfIMFjHNkuIj+HWv7gUuA94OfGdRW3Qc49eQqlugEql6mutx7nFVgTWFD1utUPERXASnwm5tx/M88lscvCBVtDgKC9Fc0iiw0qH0pP3VifJRWbACMVZ145spiUXj79mSTYapuC5PbetjOF9q0KgLH3YYCZmEgriaSMi/roRlYZlMclE8EuEVXUTWnzKj26fd3k6ocznhVauPpdkvionuokIIVq5tpqklPum1STtOKpSkI95WK5htRxK19x3JglUVJTVLZS2rYN2C25jgYjpCHZ1E168nvNpPLFYeHAiSXPh9OJJFyMrlSK9ZRXiCYDdENf36ZDfUVCywDkuBKY9cP24mqoLKdSuEDPuo7sPpSGejLO/OTimM55Mjfdo1Sqkzg7/XKqV+3bBvJTqL4AlDYc9udn/uH6gMDtL0uteTfe1vj7sJ7nuyh6//5DlsS/LWC7p5+PbN5EdKdK7McPlr1teKwm0+/Dz/s+U2dg3vxZImV3VdxlVdl+n6VppZI4Tg2rWvpeQW+dXe3zDc/ms++Z0Kv3/1Rs5ZP9mtNHftdeSd5+i/+y6ip5xK/CVn145z6hnLaG1P8tMfPMOmR/ey54V+Ln/Nep1lcOnzguM4DyulhhzHeQF4QSn124vdqBOF1mVJ7JBJYaw8LoaxarWZSkTNJlC8moCi0c0PwG5tpTIyQqn3QMOLFyt2st7+pD15ovxiYrDq7l1V68ORXARnfWjArwEUsQ2e3zvArgPDtWKrCx20XyUZt+ntzxMJ0q4biSShtnZWZZsxwpNrRE2HDIdrbmjTIaRcMOvcpM9uiMGauG0ilmGxNuOLwMEx333SjESQsog5i4QpE+vTVT9GxurX6GxcQIVpYqbSfrFhAV65UisPABzRIiSkxG5fNmm7KU2kN/U9sbwlzsD2AtI4dhfBxli1sDE380opxbiizgvFkc7WM8A3ptl3/Ry3RTNPFPbsYfdnP01laIjc711P5vLfqu3zPI9bfrmdH/56B6mQwctbUzz+i21IKTj/stWccV4nQgj2jxzg5q0/5qmDzwBwbutLeN3qV5ANL4JjtOaERwjBm9Q1FCpFHuZxvO7f8G8/LHPR1hW8+bfWjgvOlqEQ7X/wh+z8xMfY97Wv0rViJVZTU21/U0uca99+Ng/8YhtPPbKH//nPR9l4difnXbxyXN0VzZJipVIqBsSUUq8HDgEvX+Q2nTAIIcg2xyZtDwWuNPYUiWOmK0I87rhSkjj7nCnFU6izc7zAWgTrC/iu7QARKzplX+qFho8i+1lg3SuX6+5dUyFmEcc2Hc3pCL39eQZGCjWJuEj6ilQsEFjhavZASXjlysVpzDxSjcGaTdHpqZChMCsSiVlZGiel9q8eIxz2a1tVKrOyYNXebxgYsTiV4WGkYeKF/UXyFxvT1J3qmnZfPGLRmonSW3D9ot7HcGE2uu2GzaNPknE8caTZx187jvPrqXYopZx5aI9mjinsrYurluvfRvrSy2v7SmWXr//kWe5/ej+rIhatFdi/s5+2jiSXvEKRzcUYKg7zkx0/45d7HsD1XFanunnj2teMC8DVaF4MUkjedsrv4nkej/AE8Y0P8atnymze1c/bX6E4ZWW29tpQRwe5N/0eB/7z6+z9139i+V98aJx7q2kZXHTlWrrXNXPP7Zt58uHdbNvcy8VXraNrTdNUH685sbkVX1B9DrgFyAIfWNQWLQGiYZOz1uawrcniwpiFiyBMv8peTVDhlcsgFj6jV5X2WCsVr8zK5Iop97+YJBfVvlRdlKfLbFrr84vsekdLnIEdh+gf8cPfFzpov0pTMgwepF9ElrgTienKFhwJu72dYk8PZiZDsz07QTPpvmpwJzViMcqDg7VSBrMlsnYdXqEAlgf9W/22vUiBFbOmdv+t0t2eJBez6dk9gHkMmX0bLVgh48S+vmY8W9OJq2DfA3PfHM1cUuzZG4irQVre8tZx4urQ4BhfvGUTB/YO8hLLxMxXkCGDi69ey6lnLqNQKfCj7T/lrp33UKgUyUWaeP3qV3FGbsOifTFqlh6GNHjHaW8maSf4+e77SJ75EAef3cBnvpvnHJXjdy9fS1MQL5J6+SWMbdvG4H33su+rX6b9D/5wku9+R1eG6955Do/c/wKPP7CLH3//KVaubeJll64m0zTzF4TmxMFxnO81/KsDP+eQqcQV1OOMjmVSb8RilAcGJkd0LyBRKzJj4XujVvPn6LIIAhSLgcCaJpi++rh6sd+hyaiNKSXlIBHCYsRgQVAQOT17V8ATlZqL4FGlK/Bjy0Kdy4+qpMDEa6LxXxmLweDgUWeJlLYNto0MMvLBixdYsyGeDLNilXHEYtAzYcuTx4KlOUEp7N3L7s/eQGVwkNzvXU/6sitq+5594TBfu/kpMmMV1iOh5LLmlBwXXL6GUMzgnt2/5ic7fsZwaYSEFee3V7+KC5edV6t/oNHMJVJI3rj2tWTCaW7Z+mPCpzxEbPAUHn7O5cmtfVx+VidXnrucTCJE6/Vvo3RgP8OPPEzfD26m+fVvnHQ80zJ46cWrWHNKC/fesYUdW/p44fk+Tj1zGWedv4J4UscLnqgopTYA64AfO44zppS6DHg/sBP4G8dxDi9qA5cw0bhNfrR4TIHiMhqFgYE5bNXckwolWZ7oOCr396r4nK0F61gWKWNhk4FR381xsQTWyYLk6K2ZVY62XtvEa6bxGjGTKYo9PZOKbM8W2SAQj5Rs41g5FnEF/qKrlAauWyG8lC1YmhOTeszVILk3v6UWc1VxXW752RaefXQvK/EzRS1bkeb8y1bR3Bbnkf1PcNtTd3Bw7BAhw+Y13Vdx2fKXn/CrCJrjHyEEV6y4mO7UCr666TscTj7Dsgt6Gd6yntt/s5OfPryL8ze0cdW5y1n2vj9i5yf/jkO3/RAjGidz1dTl+ZpycV7/ljPZseUg9/98G08/tpdnn+hh7aktnPHS5TTlJge4a457bgCeBH6slMoANwP/Guz7Z3Rs8LwRjdlEu7NHfuEMTJXG/XhDCnnUNRwb3bvEDAVxq5PmY8nvEYtYdYGla6zPK3UXwfkfaCEEpmXURHqjdjbTaWIbN06bpfNInGhCPGSEKFI8YnHm4x0tsJYYhd27/GyBQ0O+W+BlV+B5Hk880cM9d2/FLlZoQhBPh7n4yrUsW5nksd6n+I+H7mHPcA+GMLis8yKuXnk5iSkyLGk088mq1Eo+dN4HuGnLbTyw72FE90FOWX8KBzd3ct+TPdz3ZA+rlyW59JVvo+3Wr9D73/+FCIdIX3zplMcTQtC9LseK1U1seXo/jz24C2fTfpxN+2ldlmT96W2sXp875lU3zYJxyHGcDwEopd4K/MZxnA8H/39tNgdQSv0WcA1wAPAcx/nYFK+5DvgU8H7HcW5r2N4G/D1whuM45zZsfwfwXqBa9forjuN88+i7t7SR0cmJNZYCjQJrpviTaNwm2xwjdgyxS7GGZ5WxWFkuThJCRoiWaG5cHbX5xGoQWBMD9YxjundOrOtkVWoFFc894cNRtMBaQhR27WT35z5DZXiIlre+g9C5F/DYgzt55MFdlEZL2ICIWVx+5VrauiM80PMw/37/rxgoDiIQnNd2Fq/pvoqmyLGtUmo0x0LUivLWU6/j/GXn8j3nZnaMPIPoepbT1q+n0NPJ1s0DbN0raMlcyvWjd7D/P79BIV+k9eqrpj2mYUjWn96O2tjGji19PP3YHnZtP8z+vYP88s4ttHWm6FqdpX15mqaWGKZ5dPVcNAvGUMPfrwC+P82+KVFKRYEvAac5jlNQSt2klLrCcZy7Gl7TDfQCu6Y4xEX4CTbOnGLfmxzH2XHkLpy8HCkl94lKNQYLpncPBP85NFUNpaMh2uCieaJPQI93hBCsSHYu2OdZtkF+tPrZc3fcsBkiF20mFToxypdEzKUR36cF1hJhbMd2dn/+s1RGR+G338FD/Tm2/sv9eK6Hi8eQITnvog7i3YP8dP8Pee7XW3A9l7AR4vLlL+fSzgu1sNIcV6xJd/NX532Ax3s3cfuOu9g2/Cykn2XFxS1kS+vYt62Jb1Wu4Lq9P0Pc+B0eevh5Qle+htPXNNOandqVwrdoNdO9rpnhwTGcTfvZseUge3f2s3dnP+CvRmeaoiQzEZKpMNF4CDtkYNmGX6U+yIAmpEAIQThikmtL6MnOwpBTSoWATuAq4H0N+2ZTLOd8/BpaheD/XwGvBmoCy3Gc7cB2pdTfTHyz4zjfV0pdOs2x/0gptQ+IAv/iOM6hWbTnpMJP592NmMaF7kSl0YI1k8CaC8aVsNAWrCWFaTXW25rbY+vMzwuPFljHEbuG9vBE7yYsaWEbNrZhETOjxO04CStG3I4TMcOT/IGHH3uEHV/9T/aGV7O/+yyGnwboJY/LwdAI8XUjhFoPc+vQ7ZSf8c3PKxKdnNd2Fi9rP3vJrBZolh5SSM5qOZ2X5DaypX8b9+15gMd7N3HAuw+5UtK9oZunDlzOhp/8knXbf8Om/zrIR3IvI5tNsHFVExtXZ1ErMrX6Po3Ek2HOvqCLsy/oYnSkyK7thziwd4je/UP0HRimr3dkihZNzRvffpYubrwwfAN4AUgANziOc0ApdWaw/f5ZvL+F8ZauwWDbsXIP8CPHcXqVUq8CbgSumOkNmUx0TiyluVzimI+xoMxzexdjPMbyJQb7fO/QbC42723INQ1TKFZobZn5mXPCXRvzzPE+HpZhUB7zM0Tmcol5reN4vI/FQjMf46EF1nHEz3fdx4P7HpnxNVJIYlaUhBUnbsZY8VCZ8u4EB5f9NgiJV3TpT/dyKLeTfLoXBAwAYlDQEW/n9NxpnNN6Jq3R3MJ0SqOZA4QQrMusZl1mNYPFIR7seYRHDjzB1qGtbI3AM68Kc80vXTb0bmO5GOAmeSl3PZrnrkd3Y5kStTzNxlVNnL66aUrrVjRmoza0oTa0AX4B7vxoiaGBMUaHi5RKFUrFMpWKh+d6eJ6H5/mvs21TJ8xYIBzH+ZFSagUQdhxnMNj2OHDGLA9xAF+cVUkG2461Xdsb/r0b+IFSynAcpzLdew4fHj3WjyWXS9Dbe0TPyJOGxRqPUrHC4FAeADMssXrn18V4ZS6K5zFjX/W1MZ4TYTzyo8XadXSwb3jeXNVPhLFYSI51PKYTZ1pgHUe8SV3D+e3nUnRLlCpFCpUiI6URhkojDBdHGC6NMFQcZmRkDGNbgujudvbJOMShFOrnQPtuBrJ7qUiXuJHglIyiK9HB8mQna9LdxK2lGWCsOblI2gmu7LqUK7supXe0j8d6n+TJ3qf5zuU7ueThChu29nF9/ma2XKDYvWwD+3aH2bS9j03bD/Ffd22hORVmfVeGU7oyrF+RITNFwLkQws+aFpu/miGaF4fjOEWg+CLffj/QpZQKBW6CFwL/ppTKAuWqaDtalFKfAj7iOE4ZWAtsn0lcaZYWjTFYx1JkdbYYOn3gksRs8LTQLucnPlpgHUfYhsXazKop93meR8+uAZ5+bA/bnuvF9cClRKvbwzOpJNsLFkbPWi7OXcZrX7qGVFynVtcsfXLRJq7quoyrui5juDjCMxsdttx7F10/f4bT7nmWWPtW9p8Vp2VVhrRop9ifZv9ui/ueHuK+J3sAaMtGOSUQXGpFmkR0elFVdsvky2NUvArpUGqhuqmZIxzHGVVKvQ/4J6VUL/Ck4zh3KaX+ATgE3KCUEsCHgS7gd5VSJcdx7gBQSl0CvBVoV0r9NfA5x3HywD7gi0qp7cDG4DWak4RxMVhLLL5Ms3AshDjXLBzC8xaxpPox0ts7dOI2fpaM5Us4T+3j2Sd6ONznu5TECofpGNpCTzzF3aE1SCm56PQ2XndhN1ldRFWjoXCwl11f//9xn9uCJwTO2ji/PsVmKFZfIbSJIEtx8iMGlaIJrgQEsahBMiEIRzykVabgFsiX8uTLeYpuqfb+d224nrNaTl+E3i09crnESbdcOxffX9rVZzyLOR7PP3sAz/NY3p0lHFn8sg/62hjPiTIeW57ZD8Dq9S3zlsTkRBmLhWIOXASnPFHagnUc4nkee3f288zjPWzb3Itb8ZC4tA7toGPgOQ5bIX6UPYfhcJKXn9bGK1/WRds0WdM0mpORUHOO1f/nQ4w8/hgHb7qR9Zt7WL9FUFi/kr2ntrEtJ+gpHuIQBxFpb9yDsICfo5sx8PIC6VpYIkTEzNAajZKJxEmFE3QnVyxO5zQazXGHlIJKxdMWLM0xYRiSSsWd8yyCmoVHC6zjiP5Do2zZ1MPmp/YxOOSvlEdLA3T0O7QNbWVvKMPt2TM4nOvi0jOXcdlZnaR0jIhGMyVCCOIvOYvY6Wcw9JsHOHzXz+DZ7XQ/u51Vtk1k7TqsjjMh10QxFsKNhiFk43mCQ4Muu/cX2d07xu4Do+yv2AwIyT5ACsGy5hhDm/fQ2TLA8lycjlycdNzWfvMazUmKNASVyvynadcsbbrWNOF5nv4uWQKc1AJr63MH+NVdzyOEwDAloZBJNG4Ti4eIxm3iiRDJTIRUJkI0NveTp0o+z5Z/+zJ7R8L0GK0MGn5Mh3TLtA3voGNwM6I8zOZYF7/ovJLW09bxutPb2biqCVOvkmk0s0IYBsnzLyR5/oXkt21j+NGHGXnyCUaf3gRPb5ryPXFgffADYJ15Dvsvu5ZtPYNs3zvIrt5hdvcOw9P76++JWHTmYnS2xOnMxVneEmdZc2zKFPEajWZpYQcptXVtKs2xoC2gS4eTWmCZloEdMikXKxTHygwNjOH2TO0Wb1qSZNoXW9Xf/t9h4snwER+qvf15dvQMMdyfZ/hwnsG+UUZ6h6mUTgcbhOeSzO8jnN9PuTzKzlCGR5edz7JT1nDmuhyvX91ELLz4ft0azYlMZNUqIqtWkbv2OipDQxT37aO4v4fK4CCVkWHcQhE8F891wfPA9fA8l8TZ59J9WhsvO81P4+66Hr39eXb3DrPrwDC7e0fYfWAYZ2c/zwUFiwEEkEtHaGuKsqwpRltTlPamKO1NMeLHQZzGbCgUKxweLnB4qED/UIHDwwVGxkqUSi7FssvazhQXbmxf7GZqNItKa4eug6fRaOocdwJLKfVbwDX4tUk8x3E+Nl+f1bW6ia7VTbX/Pc+jMFZmZLjA6HCRoYExBvvzDBweY/BwnoH+PIemKD4qpSCZDpNIR7BtA8OUSCkol10qJZd8vsjuvYMYroegLsTKeAwCA3iUIibNnWtoz57Bqo4kFyxL0dEc06thGs08YSQSRBIJImvXHvV7pRS0ZqO0ZqOcrep1aseKZfYc9MXW7t4Rdh0YpqdvhCe39vHk1r5xx0hELdqzUdqaYrRlozSnwjSlwmSTYZJRa95dRFzPY3i0xOFANPUPFTjUIKL6h3xRNVooz3icF/YNaYGlOenRlgeNRtPIcSWwlFJR4EvAaY7jFJRSNymlrnAc566F+HwhBOGIRThi0TRFHd5q8dHBw3kGAsFV/XuwP0//ofw0x4VYxEJYBqG4TSwdJtUco7U9QSoeIh23iWrrlEZzwhO2TVYvS7F62fgU7sP5Ej19I/T0jbKvb9T/+9AoW/YMsHn3wKTjmIYkHbdJRC3iEZt4xCIesQjbBrYlsU3/t2XK+qJN8Mt1PYpll1KpQrHsW5lG8iWG8iWGR4sMjVb/LuHOkEU2GjLJJEJ0L0uSSYTIxENkEiHSiRDxsOW3wzJoSuqSEBqNRqPRNHJcCSzgfOCFoAAkwK+AVwMLIrCORGPx0bbOyTVwSsUypZJLpeziuh6GKTFNiR0ykLowoEZz0hKPWKztTLO2Mz1ue6lcYf/hPPsP5ekbHOPQ4Bh9A2McHBxjcKTIrgMjlCtzm043GjJJRC1a0hGSMdsXT4GASidCZBMh0vEQIVvHjmk0Go1G82I43gRWC9A4mxgMtk3JyVg7RaPRLC2WtaeP/CLNkmOuvr9yucRcHGbJoMejjh6L8ejxqKPHYjzzMR7Hm1nlANDYy2SwTaPRaDQajUaj0WiOe443gXU/0KWUqjr1Xwj8aBHbo9FoNBqNRqPRaDSzRngzBDkvBkqpK4FrgV6gNJ9ZBDUajUaj0Wg0Go1mLjnuBJZGo9FoNBqNRqPRnKgcby6CGo1Go9FoNBqNRnPCogWWRqPRaDQajUaj0cwRWmBpNBqNRqPRaDQazRxxvNXBmjOUUr8FXIOf5t2bKlmGUuo64FPA+x3Hua1hexvw98AZjuOcO8X73gJ8C0g4jjM8T12Ykvnol1JKAP87+HclkHYc553z1onJ7Z2PPnUDnwUeAs4EvuM4zg/mtSOT2/yi+qWUWo3fp0eBTqDPcZy/C/ZlgRuAbcBa4EOO4+xfgO40tnk++vV5YBQYBs4APuA4zr4F6E5jm+e8Xw3v+2v8PjXPby8mM0/nywb+DzACnBrs+/ACdEfD7M7pUkcp9QAwFvxbcRzniuPh+bhQTPXdp5QK43/v7cHv/w2O42wO9l0P73o5JwAABqRJREFUvASoAFsdx/n3RWn4PDHNeLwDeC/16+QrjuN8M9i3ZMdjumf3TPeHUurP8EsjZYA7F3q+NF/MMBZ/C1za8NJPOI7z0+A9czIWS9KCpZSKAl8C/sRxnL8FTldKXTHhNd34mQp3TXGIi4BbgUmFIJVSp+BPKBaceezX9UC/4zj/5DjOnwJfmOu2T8c89unPgfscx7kB+DTwuTlu+owcY7+ywHcdx/mM4zjvB96klDo72PdJ4GdBv27B/zJdMOaxXyOO43zYcZxPAY8BCzpZn8d+oZS6FP9BveDMY7/+AvhV8Mx4L/C9+eyHps5szulJwu2O41wa/FT7v6jPxwVmqu++DwA7g+fo54GvACilOoEPAh90HOfPgXcrpdYucHvnm+nmAm9quE6q4mqpj8d0z+4p7w+l1EuByxzH+QjwJ8DnlFLpRWr7XDPt91jDdXFpg7ias7FYkgILOB94wXGcQvD/r4BXN77AcZztjuP8fKo3O47zfWBo4vbgi+3PgcVaLZyXfgFvAbJKqT9WSn0S34qwUMxXn/YDueDvHPDI3DR31rzofjmO85DjOLc2bJL4lgKCY9w/3TEXgHnpl+M4fz1h+4JahpmnfimlWoE3Af88L60+MvN1Hf4e0K2U+oBS6uPAglobT3KOeE5PEjYqpf5CKfW3Sqlq/xf7+bhgTPPdV+u/4zhPAWcopZLA1cAjjuNU00bfD7xyodq6EMwwF/gjpdQHlVIfDSw4sMTHY4Zn93T3x2uoXzcl4Fng4oVp7fxyhO/nDwfXxl8E83uYw7FYqgKrhfE32mCw7Vj5BPBxx3GKc3CsF8N89asLSDqO80/A14HblVLGHBx3NsxXn/4ReKlS6h+BjwJfm4NjHg1z0i+l1BuAOxzHeW6K4w4CGaXUQrr6zle/qtvTwFXAZ46lkS+COe+XUkrirxj+1dw08UUxX+drJb5r2heAe4D/PsZ2ambPfD0zTzQ+7TjOp4GPAx9SSl3M4j8fF5vpro2T9Zq5B/86+SzwMHBjsP2kGY8Jz+7p7o+TYjwmjMWNwBeCa2OI+iLonI3FUhVYB4BEw//JYNuLRim1HN/N5zql1F8Gm/9UKXXOsRz3KJnzfgUMAg8CBP7aSWD5HBx3NsxXn74O/Efg8vgG4HsNq1cLwTH3Syl1GXAZvpl6quMmgcOO45SPoZ1Hy3z1C6VUCvg34J2O4xw6xnYeLfPRr7OAEvAHwPuAiFLqLxfYFWW+zlftmQHcB7x8ARdlTnbm65l5QuE4zm+C3xXgl/jX6GI/Hxeb6a6Nk/KaCazzvcG/dwOXBM+pk2I8pnh2T3d/LPnxmDgWjuM87ThO1SPjbuDy4O85G4ulKrDuB7qUUqHg/wuBHymlsoG5/KhxHGeX4zjvcBznhsB/FeAfHcd5eC4aPEvmvF8BdwGrAILjGCycy8989Wk50BP8fRhwWdjr/Zj6Fbi8XA28H2hTSp0f7PoRvotQ7Zhz2+wjMi/9Uko1A/8K/JnjONuVUm+cn+ZPy5z3y3Gchx3HeW/wvPgikA+eH1vmqxNTMF/XYe2ZgW8B3xpMdDXzz5TndBHbs+AopdYrpd7VsGkt8DyL/3xcbGr9V0ptBJ5wHGcQuAM4W/kJrQhe85PFaeLCoZT6VIMFcy2wPXhOLfnxmObZPd39cRv168bEzzNw74I2eB6ZaiyUUo1eMtXnB8zhWAjP8478qhMQpdSVwLX4wdslx3E+ppT6B+CQ4zg3BDfWh4F34a/AfstxnDuC914CvA14Bf7E6HOO4+SDfTn8FemPBz//7jjOnhO5X4Hl4B+AF4DVwE2O4/z4BO/TRfgBv48C3fj+1l9aqD4dS7+CAMx78F0aAGLAvzqO8/XACvdp6ufqL52FzyI4H/16FD+radVyNeQ4zmsXsFvz0q/guGvwM1m9Dz9T3+cbVs5OyH4ppTrwY1G3AqcA/1K1KGjmn6nO6SI3aUFRSi3DX5B5FH+F2QL+FEizyM/HhWKq775g12fxFxfXAJ90xmcRPAc/a95mZwllzYNpx+M9wAZgO7AR+L+O4zwQvH7Jjsd0z27gB0xzfyg/c14m+PmJs3SyCE43FgqI4lunNgIfbbhX5mQslqzA0mg0Go1Go9FoNJqFZqm6CGo0Go1Go9FoNBrNgqMFlkaj0Wg0Go1Go9HMEVpgaTQajUaj0Wg0Gs0coQWWRqPRaDQajUaj0cwRWmBpNBqNRqPRaDQazRyhBZZGo9FoNBqNRqPRzBFaYGk0Go1Go9FoNBrNHPH/AJ4xYMhaDQNzAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = pm.traceplot(trace)\n", + "# plt.savefig('../../images/ch13/stat_20.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "cd213b2f-72e3-4afb-8be3-60e61e94c7c6" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates,\n", + " marker='o', cmap='coolwarm')\n", + "plt.xlabel('GDX')\n", + "plt.ylabel('GLD')\n", + "for i in range(len(trace)):\n", + " plt.plot(data['GDX'], trace['alpha'][i] + trace['beta'][i] * data['GDX'])\n", + "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n", + " format=mpl.dates.DateFormatter('%d %b %y'));\n", + "# plt.savefig('../../images/ch13/stat_21.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "from pymc3.distributions.timeseries import GaussianRandomWalk" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "subsample_alpha = 50\n", + "subsample_beta = 50" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "model_randomwalk = pm.Model()\n", + "with model_randomwalk:\n", + " sigma_alpha = pm.Exponential('sig_alpha', 1. / .02, testval=.1) \n", + " sigma_beta = pm.Exponential('sig_beta', 1. / .02, testval=.1) \n", + " alpha = GaussianRandomWalk('alpha', sigma_alpha ** -2,\n", + " shape=int(len(data) / subsample_alpha)) \n", + " beta = GaussianRandomWalk('beta', sigma_beta ** -2,\n", + " shape=int(len(data) / subsample_beta)) \n", + " alpha_r = np.repeat(alpha, subsample_alpha) \n", + " beta_r = np.repeat(beta, subsample_beta) \n", + " regression = alpha_r + beta_r * data['GDX'].values[:2100] \n", + " sd = pm.Uniform('sd', 0, 20) \n", + " likelihood = pm.Normal('GLD', mu=regression, sd=sd,\n", + " observed=data['GLD'].values[:2100]) " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "logp = -6,657: 2%|▏ | 82/5000 [00:00<00:04, 994.94it/s] \n", + "Only 250 samples in chain.\n", + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [sd, beta, alpha, sig_beta, sig_alpha]\n", + "Sampling 4 chains: 100%|██████████| 5000/5000 [01:40<00:00, 49.54draws/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 21 s, sys: 2.56 s, total: 23.5 s\n", + "Wall time: 2min 58s\n" + ] + } + ], + "source": [ + "%%time\n", + "import scipy.optimize as sco\n", + "with model_randomwalk:\n", + " start = pm.find_MAP(vars=[alpha, beta],\n", + " fmin=sco.fmin_l_bfgs_b)\n", + " step = pm.NUTS(scaling=start)\n", + " trace_rw = pm.sample(250, tune=1000, start=start,\n", + " progressbar=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha__00.6711220.0411960.0009230.5898800.7521131739.3910510.998317
alpha__10.4231040.0405220.0009540.3496190.5089801865.0078050.998481
alpha__20.4565700.0587720.0015170.3459860.5660161796.1788040.998320
alpha__30.2704090.0438520.0011010.1804680.3484651734.4961120.998244
alpha__40.6513740.0585470.0012810.5326990.7659122548.8870350.999824
\n", + "
" + ], + "text/plain": [ + " mean sd mc_error hpd_2.5 hpd_97.5 n_eff \\\n", + "alpha__0 0.671122 0.041196 0.000923 0.589880 0.752113 1739.391051 \n", + "alpha__1 0.423104 0.040522 0.000954 0.349619 0.508980 1865.007805 \n", + "alpha__2 0.456570 0.058772 0.001517 0.345986 0.566016 1796.178804 \n", + "alpha__3 0.270409 0.043852 0.001101 0.180468 0.348465 1734.496112 \n", + "alpha__4 0.651374 0.058547 0.001281 0.532699 0.765912 2548.887035 \n", + "\n", + " Rhat \n", + "alpha__0 0.998317 \n", + "alpha__1 0.998481 \n", + "alpha__2 0.998320 \n", + "alpha__3 0.998244 \n", + "alpha__4 0.999824 " + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pm.summary(trace_rw).head() " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1000, 42)" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sh = np.shape(trace_rw['alpha']) \n", + "sh " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "part_dates = np.linspace(min(mpl_dates),\n", + " max(mpl_dates), sh[1]) " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "index = [dt.datetime.fromordinal(int(date)) for\n", + " date in part_dates] " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = {'alpha_%i' % i: v for i, v in\n", + " enumerate(trace_rw['alpha']) if i < 20} " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "beta = {'beta_%i' % i: v for i, v in\n", + " enumerate(trace_rw['beta']) if i < 20} " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "df_alpha = pd.DataFrame(alpha, index=index) " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "df_beta = pd.DataFrame(beta, index=index) " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = df_alpha.plot(color='b', style='-.', legend=False,\n", + " lw=0.7, figsize=(10, 6))\n", + "df_beta.plot(color='r', style='-.', legend=False,\n", + " lw=0.7, ax=ax)\n", + "plt.ylabel('alpha/beta');\n", + "# plt.savefig('../../images/ch13/stat_22.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates,\n", + " marker='o', cmap='coolwarm')\n", + "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n", + " format=mpl.dates.DateFormatter('%d %b %y'))\n", + "plt.xlabel('GDX')\n", + "plt.ylabel('GLD')\n", + "x = np.linspace(min(data['GDX']), max(data['GDX']))\n", + "for i in range(sh[1]): \n", + " alpha_rw = np.mean(trace_rw['alpha'].T[i])\n", + " beta_rw = np.mean(trace_rw['beta'].T[i])\n", + " plt.plot(x, alpha_rw + beta_rw * x, '--', lw=0.7,\n", + " color=plt.cm.coolwarm(i / sh[1]))\n", + "# plt.savefig('../../images/ch13/stat_23.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch13/13_c_machine_learning.ipynb b/code/ch13/13_c_machine_learning.ipynb new file mode 100644 index 0000000..e4dc0d5 --- /dev/null +++ b/code/ch13/13_c_machine_learning.ipynb @@ -0,0 +1,1851 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Statistics (c)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Machine Learning" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pylab import mpl, plt\n", + "import warnings; warnings.simplefilter('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "np.random.seed(1000)\n", + "np.set_printoptions(suppress=True, precision=4)\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Unsupervised Learning" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets.samples_generator import make_blobs" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "X, y = make_blobs(n_samples=250, centers=4,\n", + " random_state=500, cluster_std=1.25) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(X[:, 0], X[:, 1], s=50);\n", + "# plt.savefig('../../images/ch13/ml_plot_01.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### K-Means Clustering" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "model = KMeans(n_clusters=4, random_state=0) " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", + " n_clusters=4, n_init=10, n_jobs=None, precompute_distances='auto',\n", + " random_state=0, tol=0.0001, verbose=0)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X) " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "y_kmeans = model.predict(X) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 1, 0, 3, 0, 1, 3, 3, 3, 0, 2, 2], dtype=int32)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_kmeans[:12] " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, cmap='coolwarm');\n", + "# plt.savefig('../../images/ch13/ml_plot_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Gaussian Mixtures" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.mixture import GaussianMixture" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "model = GaussianMixture(n_components=4, random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GaussianMixture(covariance_type='full', init_params='kmeans', max_iter=100,\n", + " means_init=None, n_components=4, n_init=1, precisions_init=None,\n", + " random_state=0, reg_covar=1e-06, tol=0.001, verbose=0,\n", + " verbose_interval=10, warm_start=False, weights_init=None)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "y_gm = model.predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 1, 0, 3, 0, 1, 3, 3, 3, 0, 2, 2])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_gm[:12]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(y_gm == y_kmeans).all() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Supervised Learning" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Data" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import make_classification" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "n_samples = 100" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "X, y = make_classification(n_samples=n_samples, n_features=2, n_informative=2,\n", + " n_redundant=0, n_repeated=0, random_state=250)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.6876, -0.7976],\n", + " [-0.4312, -0.7606],\n", + " [-1.4393, -1.2363],\n", + " [ 1.118 , -1.8682],\n", + " [ 0.0502, 0.659 ]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100, 2)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X.shape " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 0, 0, 1, 1])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100,)" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y.shape " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x=X[:, 0], y=X[:, 1], c=y, cmap='coolwarm');\n", + "# plt.savefig('../../images/ch13/ml_plot_03.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Gaussian Naive Bayes" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.naive_bayes import GaussianNB\n", + "from sklearn.metrics import accuracy_score" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "model = GaussianNB()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GaussianNB(priors=None, var_smoothing=1e-09)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.0041, 0.9959],\n", + " [0.8534, 0.1466],\n", + " [0.9947, 0.0053],\n", + " [0.0182, 0.9818],\n", + " [0.5156, 0.4844]])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.predict_proba(X).round(4)[:5] " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "pred = model.predict(X) " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0,\n", + " 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0,\n", + " 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0,\n", + " 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,\n", + " 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ True, True, True, True, False, True, True, True, True,\n", + " True, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, False, False, False, True, True,\n", + " True, True, True, True, True, True, False, True, True,\n", + " True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, False, True, False,\n", + " True, True, True, True, True, True, True, True, True,\n", + " True, True, False, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, False, True, False,\n", + " True, True, True, True, True, True, True, True, True,\n", + " True, True, False, True, False, True, True, True, True,\n", + " True])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred == y " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.87" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(y, pred) " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "Xc = X[y == pred] \n", + "Xf = X[y != pred] " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x=Xc[:, 0], y=Xc[:, 1], c=y[y == pred],\n", + " marker='o', cmap='coolwarm') \n", + "plt.scatter(x=Xf[:, 0], y=Xf[:, 1], c=y[y != pred],\n", + " marker='x', cmap='coolwarm') \n", + "# plt.savefig('../../images/ch13/ml_plot_04.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Logistic Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "model = LogisticRegression(C=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "LogisticRegression(C=1, class_weight=None, dual=False, fit_intercept=True,\n", + " intercept_scaling=1, max_iter=100, multi_class='warn',\n", + " n_jobs=None, penalty='l2', random_state=None, solver='warn',\n", + " tol=0.0001, verbose=0, warm_start=False)" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.0111, 0.9889],\n", + " [0.7273, 0.2727],\n", + " [0.9711, 0.0289],\n", + " [0.0401, 0.9599],\n", + " [0.4849, 0.5151]])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.predict_proba(X).round(4)[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "pred = model.predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(y, pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "Xc = X[y == pred]\n", + "Xf = X[y != pred]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x=Xc[:, 0], y=Xc[:, 1], c=y[y == pred],\n", + " marker='o', cmap='coolwarm')\n", + "plt.scatter(x=Xf[:, 0], y=Xf[:, 1], c=y[y != pred],\n", + " marker='x', cmap='coolwarm');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Decision Tree" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.tree import DecisionTreeClassifier" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "model = DecisionTreeClassifier(max_depth=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=1,\n", + " max_features=None, max_leaf_nodes=None,\n", + " min_impurity_decrease=0.0, min_impurity_split=None,\n", + " min_samples_leaf=1, min_samples_split=2,\n", + " min_weight_fraction_leaf=0.0, presort=False, random_state=None,\n", + " splitter='best')" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.08, 0.92],\n", + " [0.92, 0.08],\n", + " [0.92, 0.08],\n", + " [0.08, 0.92],\n", + " [0.08, 0.92]])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.predict_proba(X).round(4)[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "pred = model.predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.92" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(y, pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "Xc = X[y == pred]\n", + "Xf = X[y != pred]" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VQjtxDLLvvAFSTfA5ckQUObH9CUIUJrNOSYGxwAqXq/0tr5NG6dA/JzI/kJITFPjDNXl4//NKHCywwucDBvXX4PwF6cjNDl8N6XolLjorEx9+UQmLtSVMyaQtoWzh6WlhO0+0SOQypFwwH2VPLAXcx4w0yqRIvWA+JIqjk+nnzkyF1yvi9iUD2m67tk5Adzp9HT44EAs8ZgsOXnkbbLv2t7VZt+6GdbcRQ997LoqVEVErBinqcQ4VWvHN9ybU1DqhjZNh+uQkTJ2Y3OF7Zp2SArfHh1Vr6lBR7UR8nBRjhmtx7SU5Eaq6xejhOowapkV5lQM+L5CTreqWlcoXnp6G8WN0WL22Hh63D2NHajFmRO9ZFT3rpqshidOg/tMVcFXWQJGZhuSz5yLjdxe3e92YETqMGaHze39rmIp1VS8taxeiWlnWbYbpw+VI++Pl7drd9Y3wNlmgzMmEIOPHO1Ek8DuNepRd+8145pVi1DcevT22bY8Z1SYXzp3f8Q/HuTP1OH1GKqw2L5RKCeSy6DxrIQgC+mV2/yhYZpoKl5+f1e3niZaMay5CxjUXdft5mnfsQ/Wr78F+uBBSbTwS50xHxvWXRiSU2g8cDtpn3bGn7f9dNbUovvcJmNdvgbfJArVhIPQXn42M/7uk22sk6usYpKhH+XxFTbsQBQAul4iVP9Vi/uy04275IQgC4uP4ZU+d07x1Nw4vuQeu8qq2Nsv6rXAWlaL/o3d3+/kl8ZqgfdK4OAAta6Qduel+WH7e3NZn338YpY88B1lSAlIvmN/tdRL1ZVz+gHoMr09EUaktYF+VyYVtewI/yUUUqqqX320XogAAooi6z1fCUVze7edPXjgHgsL/iU5pgg6pi88CADSt2QTLpu1+rxGdLtR+8k2310jU1zFIUY8hERB0nSaJBNDF+NNX1PPYjf5PBgKAt9GMhhU/dvv5k06fjsybroI0JbGtTZ6hR78/3wjN0PyWGvcdaj/p/hjuyt6xACtRLONPHuoxBEHAcIMWVaY6v75B/TUnvBYU0fF0dGtNrk+JSA397rwB+kvORt2n30KQy5B60ULIk47u56gZMQRQyAGX/yKj8sz0iNRI1JcxSFGPcvVFWagxObHX2IzWhQz6Zapw9eJ+MftEmscj4pOvq7DngAUuj4iBuWqcOz8d+mQuBhnrdNMnwbptj1+7evhgpCyaE7E6lNkZyLrpqoB9uumToJsyzm+1d0Gt4vwooghgkKIeRRsvx4N3Dcb6zQ0oKrUjKVGOOTNSoVTE5l1qURTx1EuF2LC1sa3NeNiK/Qebcf/tg054w2SKrOzbr4ezqAwNK9dAtDsAACrDQOQ9dEfMLC8gCALy//N3FN/X8tSep8kCzZCBSL3sHKSeNy+itYiiGLO/0BB1l9j4JCA6ARKJgGmTkzFtcrQrOb5tu834ZXujX3tRmQOfr6jBNRf3w659Zqz+uQ71DW6kJLeslj5yaM9fgbw3kMhlGPTiI2jethtNa3+BPDUZqRcsgEQZWwFYnpqMQUsfhafJAq+lGYrMNAiBdtbuBqIoovKFt1G/fBXc1bVQZqUj+bx5EVmagigWMEgRdaPdByzwBtgsGQCKy+z4cX0dXl1WBqvt6HYu23abcf3lOZg2qeNFRily4seNQvy4UdEu47hkCdq2fQYjpfzxF1Hx3Bto3RXcXVmD5l37IdqdyPz9FRGthSgaYvN+CFEvoerglqNCIeCrVaZ2IQoALM1efLmyBqIoBnknUWzw2R2o+2xlW4hq4/ag9uOvIXr993sk6m0YpKjP8XhEfPujCa8uK8X/vqpEs9X/aadwOX1mKhJ1/gO/ggAMHhCHopLA62IVlthR19B9dRGFg6OgBM7issB9RaVwm+ojXBFR5PHWHvUp9Q0u/PP5AhwqOBpgVq+pw41X52LMcP892boqJUmBy8/PwrJPK9tWZFepJDj15GTMnp6CT7+pht3hf+9PqZBAEaMT6IlayTPSIE1KgLfBfzFceXJixG8zEkUDgxT1KW99VN4uRAFAda0L73xcgdHDtN3yxNHs6amYdFICVq2tg8slYsq4ROTltOy1N2xwPLbtNvu9Z9jgeC4wSjFPnpKIhBmTUP/5d359upmTIVGrolAVUWTxk5r6DJ9PxP6D1oB9R4ps2HewGSMM3fMbtDZejnPn+W+qfPXibDQ2uVFQYm9ry89T4+qLs7ulDqJw6//YX+BzumH++Rf4mm2Q6uKRMGsq+v/9rmiXRhQRDFLUZ4gi4A7yCJ0oAnZ7kMfrulFOlhr/vM+A1WvrUG1yIjNdidNOSYVM1vvX4nHV1KL65fdQUlkJryYOqRcthHbimGiXRSdIptNiyGv/gs14BLbdBxA3bhTUA3OjXRZRxDBIUZ8hlQrIz9VgS6P/rbSsDCXGjIjOfA65TIIzZ+mjcu5osRmP4PD//RmOw0VtbfVffId+992M9CvOj15hFDKNIR8aQ360yyCKOM5mpT7lvAUZ0KfI27WpVRIsmK2HPMiGyBR+FU+92i5EAYDX0oyqpe/A53BGpygiohBwRIr6lGGD43H/bYPw9WoTqk1O6LQynDo1BWNHhP+JPQquecfegO3OwlI0fPsTUs6eG+GKiIhCE5YgZTAYMgA8DGCM0WicGI5jEnWXnCw1briCcziiqaPtSwSFPGhftIgeD0wfLodt935I4jVIu+w8qPr3C+1YXi88jRZItXGQxODflYhOTLhGpKYB+BzA2DAdj4h6ELfbhy+/q4HxiBWCAIwwaDH/ND2k0sCT5uMnjIKzqNSvXTU0H4lzpnd3uSfEY2nGoWvuhGX9lra22ve/RM59N0O/eNEJHaty6Tuo/fhrOEvKIU9OQsJpU5H7t9sYqIh6sLAEKaPR+JHBYDg1HMeivksURew50IwmsxvjRydArY7MpqvUNW6PD488ewQ79lra2jZta8L+g82488YBkEj8w1S/u/8Ax8FCWHftb2uTp6ci+7b/g0R+9GNJFEW/tb0CtXWn8seXtgtRAOCpa0D5U68ieeEcSOM0nTpO1SvvofTR/wBuDwDAabGi5vUP4bPaMfDff+vUMcwbt6Hq5WWwG49AGqdBxhnTkHzzdQxiRFEUlTlSSUkayGTh/yGp13MV3a6I9PWrrLbjk+UVqG90QSIAR4qtOFxohc8HpOuVWDg3E9dcnOf3viazG1U1DuRka6CJkbDVl7/2/vdFWbsQ1WrjtkbsNjowZ0aa/5v0WmT+/D6Klr4Hq/EI5EmJyLvhYmiOuV321ofFqKxx4q7fD24LY263D399fB+mTU7Fgjn+63J1B+OOPQHbXaUVcK5Yjbwllx73GKIowvjVyrYQdaym1WuhdVmhyu7471O/cTsKb7oPzoqatraCPUbYCssw/oNnj1sD+evL37fhwOvXIipBqqEh8P5iXaHXa2Ey+X+YU+d0x/UTRRHbdpuxfbcZUikwbWIyBufHAQC27W7CC2+UBN1PrtrkxFsfFCFeLeLUqSkAAKfThxffLMH2PU0wN3uRmizHyROScPVF2QFHPSKlr3/tbd1RF7BdFIF1m2owZpg66Ht1l1+A/F+vnxWA9dfr6HL7sOqnahSU2OGwu7Dkylx4fSKeeKEQm3c0wWJxYcIoTUT+3V324E8Rmussnfq397ncsBVVBOxz1zWieNUmJM8/rcNjHH7y9XYhqlX18h9wZPla6CZxZsWJ6Ovft13V165fR6GRT+1Rt/D5RDz3WjHWbqpH6wbwK3+qxcLT03DpuVn48IvK427K6/YA67c0tgWp598oxtpNDW39tfVufLmyBgq5gMvP50rg0RJsHtTx+jqikEvwwJ2D8cC/DuG7NXXweEU0W73YvKMJY4ZrcfdN+RELz3FjhsO+75Bfu0yfguTzzuzUMQS5DDJ9Mtwm/9Ap1cZBPXTQcY/hKCgO2C46XbBs3MYgRRQlYVk4x2AwzARwBYBMg8Fwn8FgCP4rKPUJq3+uxY/rj4YoAHA4RXy5sgZrN9bjcGHnRiXNzS23QmobXNixx38hTQD4ZXsTvD6xyzVTaMaPTkCgKUtyOTB1QmLIx9XGy/DAnYORk63CD+vqsXlHE0YN0+Kem/OhVEZuza+sW38H9bD2QUdQKpB+9YVQpCZ36hiCICBp3qyAfbrpkzu1ErhMF/w3YnlaaqfqOB5HaQUqnnsdlS+9C3eAhWuJyF+4Jpv/BOCncByLeocdewIP+TpdIrbtMaOzsSczTQkAKK+ww2L1BnxNQ5MbTqcvZuZL9TXTJidhj9GCH9bVtU0BUsgFzJ+tx6hhXVufS6WSQBt39GMqOVEOuTyyt3FVOVkY+uGLqFr6DuyHiyCN1yD5rNORNHfGCR0n+7br4LPaUP/lKrjKqyBN1CFhxmT0f/wvnXp/4hkzYV6/FfC138pIPXQQUs+bd0K1BFL66POoeedjeBtaAlTVy+8i69bfcaV5ouPgrT3qFh2NEGnUUgzqr8HBgo5HpZISZDhzVstv2v1zNEjQydBk9p+sm5osh6oLIxQ+n4iPlldh8/YmmC0epOsVmDklGc12Lxqb3Mjrp8b0KcmQRnEeViwTBAE3XpWHUyYlYfOOJkgEAVMnJsKQH9+l47o9PjzxQiH2HWzGwDw1nC4fftpQD4VcwJIrcyM6L06ekoSce2/u0jEEiQS5f70V2bf/H+wHjkCRmwXFCYwkpV+7GM6SCtR9/A089Q2AIEB30jBk/fWOLj+1V/fValS+9A7gOnq73V1Zg7J/vgDdtElQD8jp0vGJejMGKeoWgwfEYdO2Jr92qQQYO0KHcaMS8OJbJag/Zp6UWiVBnEYKnyhiQI4GZ81Na/thnKCTY+KYBKxa236OiUQCTJuc3KUfqq+9X4blq0xtf66pc2H3geZ2r/luTS3+/IeB0Gn5mHkwo4fpMLqLI1CtWkNU65yoe27Oh8vta5szBSDiYSpcpPFxiJ8w+oTfJwgC8h68HZk3Xo6GFT9Cnq7HkMsXorbO2uWaGr/5vl2IauVtaIJp2WfI7WKIJOrNGKSoW5w1Nw0791mwe3/7W3xTJyZh4tgECIKAh/88GCu+N6GhyYPUZAUWnq5HcqIi6DpBN1yRC6VSgq07m9Bg9iA9VYFpk5Nw3rz0kOtsMruxfnPDcV+376AVN927D6dMSsLiRZlI1DFQdSeJREB8nLQtRCmVEiiVRyega+NlAedl9QWKjDSkX30RgJZRrnDwWIOPDvs66CMiBinqJgq5BPfdmo8vV9bgYIEVEgkwZrgOc2emtoWkzDQVrrnY/5ZBsMUWZTIB112ag6suzEazzQtdvCzkp8Ja7TvUjIYm/9uFgViavVjxfS0OF9jw0F2DuWBoN5JKBPzhmjx4vSIUx2wmrY2X4R/3DIFSIYnoopy9ncYwCE0r1wbsix83KsLVEPUsDFLUbRRyCc5fEP5FE+VyCZISwvObeGa6Egq5AJe780/9HS6y4YvvarB4UWZYaqAW5k3bYd22B8r+/ZB0xkxIJZKA89JUSgbYcMu44TI0/rAe9j3Gdu26mVOQcu4ZUaqKqGdgkKI+rX8/DUYY4rE9yFOGwRSX8XZHuHisNhy8+nY0/bQRotMFSCSIHzcSA5/+G1T5/ivbU/jJkxMx5M2nUfns67Du3AtBJkf8pDHod8f1HW4wTUQMUkS48apc/Of1Euw/aIHbA8jlArweER0tTaVW8VsnXPbd+SgaV6452uDzoXnLLhT95XEM/eD56BXWxygz09D/0T9HuwyiHoc/DajP06co8eCdg7H/UDNKyu0YPUyLknIHvl5dgz3G5t8u2wOFXMC0SaEvNBlJdrsXIhCza2yJXi/qvt8QsM/yy3bY9h+GZtjxV/0mIooWBimiXw0bHI9hg1uWW8hMV2HyuEQsX12DT5ZXo76x5dHwBK0UC+ak4aSRCdEs9biKSm1Y9kkFjAVWiD5g0IA4XHBWBoYP7traTuEmutxwWwI/vi86XXBV1jBIEVFMY5Ai6sCC2WmYMTkJP6yrh88HTJ+ShJQkRbTL6pDV5sWTS4tQVuloa9u+x4zyKjv+/icD0lJjp36JWgXt0HzUm+r9+hQ5mdBO5v5xRBTbIrdhFdGvisvtWL6qBrv3myGKsb9HnjZejkVnpOOceekxH6IAYPmqmnYmoyI1AAAgAElEQVQhqlVNrRvLV9UEfZ/PJ2L77ias3VQPhzPwdjzdIe/GSyH97T5ychlSL1wIaZwmYnVQ72DbdwiN36+H12aPdinUR3BEiiLG7fbh2f8WY+uuJtgdPkilLbfTbr42D2mpymiX12vU1DmD9pnqA/ft3m/GW/+rwJEiG0QAaakKnDlLj3O7sNhpZ2VdOB/NLhGmZZ/BWVoBeUoSkhbMRvpVF3T7uan3sB0qQvG9j6F5806ITheUudlIvWghsm//v2iXRr0cgxRFzJv/K8fPvxxdRdzrBfYcaMbSt0rx19s5D+ZEOF0+uFw+xMdJ/Ram7GjV9USd/4ia3eHFC2+WoKrG1dZWU+vC+59XIDNNiSnju39ifdLcGSe8CXBf0bxjL6peeQ+OgmLItPFIOH06Mq67hAuSHkP0+VB46wOwbt/T1uYsKUf5s69BnqFH2qXnRLE66u0YpCgiRFHEjj3mgH17jRaUlNmR208d4ap6HkuzG/99rwx7Dlhgd4jIzVZh3iw9Zpyc3Paaeafp8dPGetTWtd87LVEnwxmn+m+Su+IHU7sQ1crlErF2U31EghQFZtm8E0eW3ANX5dFbsuZ1W+AsKkf/f9wVxcpiS/1Xq2Hdsde/w+VG/ZffMUhRt+IcKYoIj0dEszXwvBuXW0SVKfjtKGohiiKeXFqEnzY0oK7BA5vdiwOHrXjpnRJs3tHY9rqUJAVuuiYPhvw4SCWAIAD5/TX4v8tzkBcgrJotwbfIsTR3bvsc6h5VLy9rF6IAAKKIus9WwFFaEZ2iYpCzpBwIMt/SXXv8vTSJuoIjUhQRcrkEWRlKNAX4oZ2cKMfwIXFRqKpn2b7HjD1G/xXYbXYfVq2tw8SxR0eOxgzXtayHVeaAx+fDgBwNJAG2WwGA/jnBJ3RnpHHuWjTZjUcCtnsbmtCw4kfkjDNEuKLYFDd2BKBQAC7/kVVlTlYUKqK+hCNSFDFzZ6ZCrWr/JScAmD45CfFxwef1UIsjxTZ4gzxMV1vn/wNEEATk5aiRnxcXNEQBwLTJSRhh8F9fKjVZjvmz9SHXS10n6eCpRUWa/23aviph2kQkTJvo1y5N1CHt8nOjUBH1JRyRoog5dWoKZDIBq9bWobrGCZ1OhsknJUbkybDeIDtdBQFAoBsYiQmdC6KiKAKiCEFyNNBKJQL+dGMe3v64CvsOWuByixiQq8a58zI6HK2i7pcwYzJsO/f5tatHDEHygtOiUFHsGvTSoyj525NoWrcFPosV6qH5SLv6IiSedkq0S6NejkGKImrapGRMm5R8/BeSnynjEzEkXwPjkfYbJivkAmZMTjru+0VRRPkTS+EsLsfAZx9s24zW53Ci8sa7cMGcaUh/9CKIosgnwmJE9p03wFlchobv1kK0t6wNpjIMRN6Dd0CQRf/j27x5J6zbdkM9eAASZk2N6teNNE6DAf+6H6LXC9HlhkStilot1LdE/zuRiDpFIhHwx//rj1ffKcO+QxY4nCKyM5SYPT0VM6emHPf9ossN88+b0bxlFwBg4LMPQnR7cOjaO9H04wYIUinSrrqg3WgVRZdELsOgpY+iecsuNK3bDHlqClIvmA+JMroLw3oszTjyh/tgXvsLRKcLkEmhnTgGA595CMp+GVGtTZBKIcTo3pLUOwnRWFnaZLKE/aR6vRYmk/9EXOocXr/QRePaVZmcaDK7MTBXA7m888HHa2mG8bJb0LxlF5IWnAavuRnmtb8gYc40DH7l8aj8gObXXuiide0KbnsQtR986deeMGcaDG/9O+L1hIJfd13T166fXq8NOtzKXz2JeqAMvRKG/PgTClEAINXGw/Dus9CMGoqG5d+3hKhZU6MWoqjn8TmcMP+8OWCfZcM2OMoqI1wRUXQxSBH1MYJc3i40SeLUEGS8FUKd47XZ4TU3B+zzWW0wvfspxGCPlxL1QgxSRH2Iz+HEoWvvRPOWXdBOGQfN6GFo+Go1Cm75G3/4kR9XbT2at+yC13I0OMmSEqAalBf0PZXPvIZD194Fn8sd9DVEvQknmxP1ET6nq21ieeucKNHlgvGyW1D36QoAwMDnHuJk8x7AUVKBuo+/RkO8EuozZ0MV5kUnvTY7Cu/6B5p+2gBvfRPkWelInn8ach+4DYJEgrQrz0fxwUL4rLaA72/8bg2qXn4XWTddHda6iGIRPzGJ+ghBIYcyL7vdxPLWOVPxE0ZDlZ8HQSKB/WAB9l9wA1zVte3eX798NQ7fcA98bm4bE03lT76MvfMuR/kTS3Hob89g75mXo/zfr4b1HIV3/B31n66At74JAOCuqEb1q++h7PGlAAD94kUY8NRfocjLDnoMy6YdYa2pcc0mGK/4I3ZMOgu7Zl2Eovv+Bd+vS0IQRRNHpIj6CEEQkPfInyG6PZAoji7gKdXGY+j/lrbNm6pf/j0s67fiwIVLMPR/S6FIT20JUUv+AolKCceRImiGDorWX6NPa/p5MyqefxOi4+jelN4GMyqeewPayeOgO3lcl8/hLK9C008bA/Y1fPsj+v1pCQSJBClnzYF11z5UPf9W4AP5fF2upZV543YU3PxXeEx1bW0OYwFcZZUY8saTYTsPUSg4IkXUhwiC0C5EtTp28nnWrb9DxpIr4DhchAMXLkH16x+2hSjDsucYoqKgdZma+i9WtgtRrevIiHYH6j7/Niznsh8qhLfRHLDPXVMHn83e9ufk+adBCLLwZdz4kWGpBwBq3vxfuxDVqunHDTCv3xK28xCFgkGKiNrx+QD3lddBe9UlcBwuQvG9jwNeLwzLnoN24phol9ch0etF3affoOTvz6DyxbfhbbZGu6QuK6t04I4HD6C03N7uVpYxbSzenXQnHDI1AMBnC89tLs1IA2T6wLsPKLMzINGo2/4cf9JIpF16DvCbpz61p0xA1o1XhqUeAHAUlgRsF10uWDbvCtt5iELBW3tE1ObbH034+nsTSsocGGFKwKJj+pS5wefDxAJ3QxMOX3cXLBu3A7+O4NS88wkGPP4X6E7x39C2pzhwuBmFJXbc/8Qh3JI/GsA3MKaNxWdjb4DU50aDJg2Z5mLEjR0elvMpUpORePoM1C77rH2HVIKUc87wexgh96E7oJ1yEhq+XQOfy4X4cSORftWFYV2XTJaUELzeDG6sTdHFIEVEAIDNOxrxxgflcDh9MFRtxcKdr8ApVcKSmovU6kPt5kzForKHn4Vlw7Z2bc7CUpQ8/CxGLH+zxz6NOGd6KtxuES+/U4pnC4dg0szrsFo5HlKfG4u3PItMczHUI4cg7bJzw3bO/o/eDalGhcbV6+A21UGZk42Uc89Axo1X+L1WEAQkL5iN5AWzw3b+30o6cxbM67YAnvZLdKhHDEHKefO67bxEndEzP1mIKOx+WFffFqLO2fkK3BI5PphwK14ZeyecC89vmzP126f5YoV50/aA7bZdB2BesynC1YTXvNP0uP7yHDRZvPhOPQk+iRSLd7yAnMbDAADHoSIU3vn3sK0FJpHLkPfQnRj1w4cYs+FzjFz5DrJuujpqmxKnXXk+Mm+4HPLWEC+RIG7cKAx44l5I5BwPoOgKy1egwWCYA+A8ADUARKPR+GA4jktEkdNoPrqAolOmwv/G3YzypHwAQMncKzC9nwaNq9ZGq7wOiaII0ekM1glPkMnTPUlSQvuHBNT2prb/F50u1H38DTTDhyAzwKhRqCQKOSQpSWE7XqgEQUDOvTcj48Yr0LDyJygz06GbMTlqwY7oWF0ekTIYDBoASwHcZjQaHwAw2mAwdN8YLxF1i9TkljktxozxeHHGI20hCgBy+mmQc/8tGP7VGzF5a08QBGhGGAL2KXOykDh3RoQrCq+NWxvxr6UFUCklmJDUAAB4d9IdqI3LbPe6pjWBly3oLeTJiUi7+GwkzJzCEEUxIxwjUicDKDYaja2/Dq4DsADA6mBvSErSQNYNe3vp9dqwH7Mv4fULXW+4dhcuysGufRY0WTxwyjVt7SOH6XDO/FxIpQKQpuuWc4fj+knvvRHbDxyGo6SirU2iVmHA7y9DRl5al48fLWs21OJfSwuhkEvwrwdGQ/XhG/jg56+xcsRleHfSHbjsl38h1VoFAJD5vL3iazFSeK26htevRTiCVBoAyzF/Nv/aFlRDQ+BtBbpCr9fCZLIc/4UUEK9f6HrLtcvJlOH6K3Lw1Xc1KC6zQ6GQYPiQeFyzuB/q6wNvUhsOYbt+gwdj0OtPoeq19+EsKocsKQEp55wB3fxZPfrfR4AbungZ7rxxALLSJGieMgETnvovsBfYkjcbSs/RdZ1k+QN69N81knrL92209LXr11FoDEeQqgFw7Bl0v7YRUQ8zdUISTh6fCLPFA4VCArUq/CPH3UkzbBAGPnFftMsIq6GD4rH08RFQyFtmYsRPGI2Us0/H+A++wpjydZD5WrbsUQ8dhMzfXxXNUon6pHAEqQ0A8gwGg/LX23unAHghDMcloigQBAEJOv/Vzyl6WkNUqwFP/hXqYYPh2LAFjiYr1MMGIfMPV0GZlR6lCon6ri4HKaPRaDMYDDcCeNZgMJgA7DIajUHnRxERUdcIEgkyr78M+nuX9KnbK0SxKCzLHxiNxu8AfBeOYxH1JR6PiO/X1aKy2ol0vRKzp6dALuPybkREPQVXMiOKkopqB556qRBHio5OFl75Uy1uu74/crLUHbyTiIhiBX/1JYqSN94vbxeiAKCwxI43PiiPUkVERHSiGKSIosDS7MH+w4GXFNh3sBn1je6AfdSxymoHvv+5zq99664mHAhyvYmIuoK39oiiwOnyweXyBexzuX1wOr0AeteTc67aetS89gHcpnoo87KRfu1iSDXhu4UpiiKeXFqEI8U2uNw+nDlLDwDYsrMJjz1fAG2cFC8+NhJKBX9/pNB5bQ7UvPsJ3JU1UA3qj9QLF3K/vz6O//pEUZCSJEf/HDUOFvgvTjsgV4N0vTIKVXWfxjWbUHTnw3CVVba11X36LQa9/CigHxWWcwiCgD9el4f7nziEl94uBdCy7c1jzxdAIgFuu34AQxR1SfOOvSi49UE4Dha0tZne/RSDXn4cymwuPdFX8VOFKAoEQcCiuWnQxrdf8DJOI8XCOXpIJL1nHzFRFFH++IvtQhQA2PcfQtmj4V1yLidbjb/fNRgJOhleersU/3jmCCQS4L4/DsKoYdzOgrqm9KFn2oUoALBu34uSh56OUkUUCzgiRRQlp0xKRoJOjlVra1HX4EZyohyzp6Vg9PDu2c8uWqw798G6c1/Avuatu+B1OAP2hSonW41zzkzHmx+2TNqfOCaBIYq6zGYsgGXb7oB9zZt3wmd3QKJWRbgqigUMUkRRNHKoFiOH9u4f8qLLDXgDzwcTPV7AF7gvVFt2NuHdT45uXLxucyNGDjW1zZkiCoXP0gy4Aj8E4nM6IXo8Ea6IYgVv7RFRt4ofPwrq4YMD9sWNHRHWCeetE8slEuChuwbj2b8Pa7vNt+IHU9jOQ31P3NjhUA3ND9w3wgCpNj7CFVGsYJAiom4lSKXIvPFKSJMT2rVLE3QQJcC+Pz8OR1FZl88jiiI+W1Hdbk7UsXOmPv+2Bs4gT0oSHY8gkyHj2sWQ6NoHJllaKjKWXB6lqigWCKIoRvykJpMl7CfV67Xcc6oLeP1Cx2sXmNcnYuvOJtjsXkwelwjvgQMwLfsMzrIq2PYY4amtb3utTJ+M3AfuQOq5Z3TpnFabF2WVDhjy49q1l5bboVZLkZqs6NLxYw2/9kIX6rVr+mkjTB98CXdtPZTZGUi76gLEjx3RDRXGtr72tafXa4M+AcQ5UkQUMp/LDZ/dAVlC+3leW9eV4N2VFhSWtkwkT0upwJmnpeHcx+/FkVsfaBeiAMBjqkfF068gecFpkChCXz8rTiP1C1FAywT07tawai0aln8Pn90JzShDy+gFJx/3OgkzpyBh5pRol0ExhEGKiELic3tw+Ia74aqoxtAPXoAsseVpw4aCCtRd+3sM0w1E4cgrAUGCmjo33v+8AlnpSqi3Bn7yyXG4CA3LVyPl3DMj+dcIi9JH/oPKl5cBLhcAoP6LlWj8bi2GvP1vyHrA3BnR44G7pg7SxARINQx/RCeCc6SIKCSCVAJ5ciJsuw/gwOLfY9cv5fjpq4PYe94SJFqqYFPoABwdDXe5RPz8Sz3EDp7S8/XAJ5/shwpR8+b/2kJUq+ZfdqDy2dejVFXniKKIiudex+65l2HntPOwe+YFKLzrH/CFeUkKot6MI1JEFBJBIkH/J+6FudkD25fLYVl8JSSiD2qXBRsGnIkfh5wLCO2nFTRbvYgbOwLOwlK/4ynzspG8YE6kyg+bus9XwmuxBuxr3r4nwtWcmKqX30XZE0sBjxcA4CqvgundT+Gz25H/n4ejXB1Rz8ARKSIKmU8U8FbGRTisHwmtswlxLgu295seMEQBQEaaEtm3XwfVkAHt2iXaeKTfcFnPvK3U0Sr0Qmx/xJo++rotRB2rYdU6OMsqAryDiH6LI1JE1CnlVQ588nUVikrskMsFjBiiRVaGEjWHqpFsrWl7XYa5GCqPDQ55+0nf6XoFFsxJgzpThWEfv4TKpe/CWVyG+PRkxJ11BnSTxkb6rxQWqRcsRPV/34e3wezXFz9xdBQq6hyf2wPn4cLAfWYLmrfvg7JfVoSrIup5GKSIqB2b3YPPV9TgcJENMqmA0cO1GD9ah0efO4LyyqNzZ4xHbBiks+LSX55Esq0GGwfMhcptw9iyn3Hx5qfx1cw7oUxJgNsjYmCuBuctSEO/zJYRJ3lKMnLvvRlAz3+MWpWbhcwbLkfFs6/DZ7O3tetmTkb2zddEsbKOeRoaW1aWD0QQoBoyMLIFEfVQDFJE1MZm9+Dhfx/B/kNH5/z8sqMJy1crUFndfjK11OfGrOWPIcVWfXROFFqWiBtb9jMWb3sOsze9C0ES27e3wiHrlmuhmzoBtZ+sgM/hQPyE0dBftBCCLHY/Yl3lVUG37oFEAkVKYmQLIuqhYve7nIgi7otva9qFqFa/DVEA4JXIsWnAXOSIdfix36Jf50QJ+GbE5ZApZRh35Wl9IkS1ip8wGvETYvdW3m+pDflQ5GTBVeo/F0o9ZABkSQkB3kVEv8UgRURtjhTZTuj1u/pNw9BFGZhv9WD3/mbYHV7kZqtx0u33Y+wo/iCOZVKNGilnz0Xl828Cx+5woZAjdfEiCFJp9Ioj6kEYpIhixK79Zqz7pQFuj4ghA+MwZ3oqZLIOngg7QaIo4uvVJmzc1gizxYOMNCXOPDUVJx0TeGTy4OcT0Hrj7qiUJDkWzNZDp5W3nUMI8LQexaZ+9/wBUm0cTO99AVdlNQSpFIoBOVD1z452aUQ9BoMUUQxY9kkFPvu2Gm53S1T5YV09Nm5txD235EOpCM/tsXc+ajlH63qYJeUO7DvYjJuuycXkcUkAgDHDddi4tcnvvWqVBFPGJWLLziZYrC0TlDP0Clx2flZbiALAENXDCIIAeVoq3PUNEJ0uiAAcew/iyE33I/eBO5B26dkRrUcURTSuWgvbrgNQ9MtE6vnzYnqeGRHAIEUUdaUVdixfXdMWolrt3GfBp19X4eJzuv4IerPVjR831OO3i4o3W734+vvatiA1d2YqDh6x4udf6uH+dZFxjVqC8+Zn4PwFGag2ObF+SyPUKglmTU2BUtl35kD1RqLPh+rXP4TP3Nyu3ddsQ82bH0J/8VkRm+fmbrLgyA13w7x+S9vaVtWvvY+BT/8NmuFDIlIDUSgYpIiibO2mBtjsgZ+eOnA48IrZJ2rHXgvqG90B+8oq7PD6REglAiQSAbdc1x+nnpKMrTvNkMkEnDo1GTlZLZv+puuVOHdeelhqouhzVVTDduBwwD7bvkNwllRA1b9fRGopfeApmNdsal/DbiOK7/8Xhn38ckRqIAoFgxRRlIm/nXh0bF+YzqFPVkAmDbiINdRqqd/i3KOH6TB6mK7DYzb+uAEJMya3G7Hwudxo/mUHdNMmhqNs6mbSOA2kcRp4Xf63c6VxcZBq4wK8K3R1X6xE/Vffw2tphmpQf2TccBlU/TIhejwwb9ga8D2Wrbth3X0AcaOGhrUWonDhuDxRlE06KQEqZeC5RUPzw/ODbEh+HIbkxwfsGzNce8Jzm0zvfY6Dl96M4nsfb9uE2Ody48iSe3Bg8e/R+MP6LtdM3U+WlADdlJMC9mmnnAR5SlLYzlX2+Is4csvf0PDVKph/2oia/76Pg5feDNuhIohuD3w2R+A3utxwm+rDVgdRuDFIEUWJw+nFf14rxuP/KYDb4z/2NGqoFufNzwjLuQRBwA1X9MPggRq0RiaFXMDkcQm46qITv3WTOHcmNMOHoObNj1B87+PwOV04suQeNKz4EbpTJkA7eVxY6qbul/vgnS3rX7WGaUFA/PjRyH3ojrCdw1VTi5p3PgVc7W8vOw4XofL5NyBRq6AZmh/wvcr+/aA7mV9PFLt4a4+oi7xeEd+tqcVeowVSiYCTRiXglImJxx3leeaVImzc1v6WiiAAg/qrMfPkFMydmQq5PHy/6+Rma/DPvxiwaVsjqkwuDB8SB0OQUarjkackwvDBCzAu/j1q3vwINW9+BADQTZuIwW883TM3H+6jlP0yMOyzV1H/5SrYDxVCnZ+H5EWnh3UdqfrPv4OnNvCoknXXfgBA+nUXw7b/EDx1jW19glIB/aXnQKLm1xPFLgYpoi7wekXc/8+9WLOxrq3th/X12LkvBb+/KjdomCossWHHXv/95UQRUCikWDAnrVvqlUgEnDwhPLdr5CmJGPLus9hx0pltbYPfeIohqgcSJBKknD23244viVMH71MoAABJc2dC+lIcat76GM7SCshSkpBy9lyknj+/2+oiCgcGKaIuWPmTqV2IAlrC0A/r6jBlXCLGjw68uveBw1Y4nIGf1Kut89+OJRb5XG4U3/PPdm2lf38Gef/4U5/aGoaOL/W8eah84S04C0r8+rSTx7b9v27qBOimTohkaURd1qVPO4PBIDEYDDcYDIYag8EwMlxFEfUUe4zNAdu9XmDLTv8noVrl56khD7KKeFKiPGB7LGmdWN6w4kfopk3EmM1ftZszJf52wSrq0wSZFBk3Xg5ZeuoxjQJ0Myej359/H73CiMKgqyNSYwBsAnBiG3QR9RIdzYLqaIrUkPx4jBoaj22729/ek0qAqRPD96RUd6l5++O2ENU6J+rYOVMJM6Ygad6p0S6TokwURVQ8/SrqvvwOrrIqyFISETduJOLGjYR2wmgkL5zD0Uvq8boUpIxG43YAMBgM4amGqIcZOVSLdZsb/dolAjBxbMeb9t5yXX8sfasUu/dbYLV5kZmuxMwpyVg4R99d5YZN+tUXQnS6kHb1RW1zolonoNd9+g0Sz5wZ5QopFlQ88xrKn3oFrUvqu6w2uEoqoBlpQMqi7puTRRRJgtjRaoAADAbDtwACLWX8V6PR+MWvrykCsNBoNO7pzEk9Hq8ok3Fncer5ysptuPqPW/3mO8VppPjg5YlITFAe9xj1DS7U1juR108DpZLfF9Q7iF4v1k44B5Y9B/36lJl6zNy5HPKkjn/ZIIohQe8xHHdEymg0nhHeWoCGhvDfCdTrtTCZ/J+Cos7h9QvNsk9KA04at9q8eOvDIlzSyX3yknSA2dw375Dzay90sXzt3PWNsBVXBOxzVppQsn4XdJPGBuyPhFi+dj1BX7t+er02aB+f2qNeoaHRjc+/rUZphR0qlRSTT0rEjCnJfq8zW9z4aHkVDhfaIAjAsMHxuPCsTCgVoc3TqGsIvH8dANTW94yn7yhyXKY6NHzzAxRpqUg8fXpY12qKNTJdPORpKfBa/B/IkKYkQjUwNwpVEYVfl4KUwWBIAvAHAAkArjcYDMuMRuPGsFRG1Ek1tU488uwRFJcd3WJi07ZGFJbacNWFR1fttju8+MczR3Cw4OjIz76DVhwusuH+WwdBKj2xbVIAIDEh+BN2SR30UQtRFFH2zmco+ehb+Gx2qA35yFhyORRpqcd/cw8iiiJKH34WtR8th8dUDwgCNKOGIvfBO6CbHL1Rme4kyGRInDsTVS++5deXeOrJUKT6/6JD1BN1dbJ5A4CHf/2PqEu8XhHrtzTAbPFgyvhEpCQpgr7W5xPRbPNCrZTgo6+q2oWolmMBq9fU4cxT9UjXt8xT+mJlTbsQ1WrnXgt+WF+HOdNP/If3vNP02LStyW/0KS1VgfmzY3/SeLSVPvg0ql77EPB4AABNP2xA05pNGPLG01D2C8/2OLGg5s2PUPXyu4D319vAogjbrv0ovudRjPjmbUiUwb/We7Kcv/wBotuF+q9/gLuiGrKUJCTMmooBj90T7dKIwoa39igm7NxrxusflLUFog+/rMSsqSm46qJsv9XBV3xvwqqf61BZ7UR8nBR2hzfgMS1WL9Ztbmjbr66oNPgcpEMF1pCCVHaGCn+6aQheW1aIQwVWCELL0gYXn5OB5MTe+cMxXOxHimF6/4u2ENXWvu8QKv/zOvr/s/f8sG1c+dPREHUM+4EjqP1oOdIuOzcKVXU/QSpF3kN3ot9dS2A/UgJlbhbkyYnRLosorBikKOqcTh9efqcUFdXOtjazxYsvv6tBcqIMDqeIhiY30vUK7N5nwbY9Ryc42uyBQ1QrxTF71amUwedBKUKcIwUAUyemYFCeHJXVTkgkQEYat0jpjPqvVsFrDrygqXX3gQhX0708Deagfe6auqB9vYVUG4/4scOjXQZRt2CQoqhbtba2XYhq5fMB735aCZer4yU6gklNkeO0aSltf54yLgk/b2qA5zfZS6OWYNbUrs3XEAQBWRkMUCdCogq+NIQg713zy5T5ubDu3OffoVBAO2lM5AsiorDhkrIUdeZmT9C+UENUgk6GS87JgkZ99KmoyeMSseiMdMTFSdu97qJFmRiYFxfSeSh0qYsXQZ4ZaIk6QHvyuAhX070yrr0Y8kz/jagTZ50M3SkTo1AREYULR6Qo6t1qRTkAABQBSURBVIYPjodMCr+RohMhlwEXnZWJRosHapUEc2fqoU/xn6N0xQXZmDM9BWs3NUAqFTDrlGTOZYoSeaIO/e66AeWPvQBXdW1Lo0SCxNmnIPvW66JbXJjFjxuJ/OcfRtUr78G+/zAkcWoknDIR/e7mPnNEPR2DFEXd6OFajBudgF+2B9/k93hGDdPigrMyO/XazHQVLlrUuddS99JfvAj9zzkNxmffhtdmh3bSWCTNm+X3gEFvoJsyDropvWukjYgYpCgGCIKAO5YMwLJPKrDngAXl1U44HP5POAWTla7Ezb/r330FUrfS5GSi359ujHYZREQhYZCiTrH/+nScWt09KzEr5BJcvbhl8cxnXi3Cj+vrA75OEFo2PPKJgFolYMLoBPzx+gGQSnrfCAYREcU+BinqUEGxDe99VoGDBVZABAYNiMPiRRkYkh/fbeecODYBazfW+y27I5EAN1+Tg9RUJSqqnBg7IgFpqZzfRERE0cMgRUGZLW48+VIhKqqOLk2wbbcZFdUO/OPuId02Sfvk8Yk48zQ9vvupFi53y1N7apUEC+ek4dRTWlYLH2nollMTERGdEAYpCuqrVaZ2IapVVY0LX31nwpUXZnfLeQVBwHWX5mDmlGRs2NoAQRAwY3Iy8nLU3XI+IiKiUDFIUVCmOlfQvo1bG7D/UDMUcglGDYvHufMyQtr0tyODB8Zh8ECu70REneMsr0LTjxugGpAD7cnje+XTnxR7GKQoqERt8C+PyhoXKmtagtau/RYUl9lxx5KBkSqNiKiN6POh6J5/on759/DWNwJyGeLHj8KAx++FelD/aJdHvRxXNqegzjxNj5Skzm3VsWlbI3btD76fGBFRdyn/96swvf1JS4gCALcHzRu3o/Cuf0AUQ9sdgaizGKQoqHS9EjdelYshAzWQSFqWHlCrAn/JuD3Ajr0MUkQUeY3f/RywvXnrLpjX/BLhaqiv4a096tD40QkYN0qHolI7fD4R731Wia27AgcmlaJ71pgiIuqIpzHIrggeLxyFJUiYOTmyBVGfwhEpOi5BEDAgV4P8/nEYN0qHQNM3kxLlmDszNeK1ERGpBuQGbJcm6KCbOSXC1VBfwyBFJ2TeaXrMmZEKlfJonEpJkuPy87OQmNC5+VREROGUfuX5kCZo/dqTzvz/9u48OqoqweP476UqCdlDVgQkEqJXhRbQRmQ5LkFaRRtHoXuYdmbUcetlHLDV7uOBpkdbx5XRsU87jo2Opz3CtHsLiLgA7YKiIK0gcFlFRUISEshKkkrV/JGAhCQmVIp6eanv5y/q3UrVj3eS1C/33ffeeUoaeqILiRBLOLSHY+I4jn5+zRBdfEG2PvpblRITHE0+N1upKZQoAO7of/H5GhoMqvSZF3Vwx5fyZ6Qro3iCBt92o9vREAMoUr1EU1NQi98q1eZttXIkDTepmjIpL+LXZoqUwoIUFRZwjScAvUPWlGJlTSl2OwZiEEWqFwgEQrr39zu0bsO3i7hXrzugz22Nbv9FITfkBQCgl2KNVC+wbGVZmxJ1yOp1B/TOhxUuJAIAAN1BkeoFtmyv7XTs8801UUwCAACOBUWqF/D5Oz905zhclRcAgN6KNVJR1tgU1DMv7Nb6jdWqbwiqYFA/DR3ScuXwYLD989dvrtGOXXUqLEiOflgAAPCdmJGKsnmP79TiN8u0a/dBlZY36uNPq/TmO+X6/sh0dXSj8r1ljZq/4CvuFwUAQC/EjFQUfW6rtW5D+1sZVB4IKN7vKCvTr32VgXbjW3bUym6v1alFqdGICaAPKHt+sSoWvaVAxQElFgxS/jU/UtqYkW7HAvocilSENDYF9fyiPdq0tVbBYEjDCpI17bIBykz/9kKVG7fUqKmp46/fU9rQ4aE9SWpulioPdPKFAHCU3Q/P1+5Hn5IaGiVJtZ+sV9X7a1T4yG+Vef44l9MBfQtFKgKagyHdd9R1oDZtrdXm7bW689YiJSe37OaszM6v/p2WGq+01HhVHqhuN5aXE69Rw9MjHxxAn9NcU6uyha8cLlGHBErLtfePCylSQISxRioC3v2wosPrQG3bWadX3yg9/PjccVk66cSkds+Li5PGjs7QDyfnKT3N12bM75MmTcxRUj9fu68DgKPtX75KjV+XdDhWt2mrQp1NfQMICzNSEbB5W+fXgdr5df3hf8f74/TTfz5RTy74Wtu+qFMoJPVP9+u88Vm6+IJcOY6j239WqGUrylRS3qiMVL/Gj8lU8cScaPw3AERB7catKnv2ZQX27VfikIHKv/EnSsjJitjrJ+RlS744qbl9YYpLTlKHZ7UACBtFKgISEzv/xdQvoe2knxmWqvtmG63bUKV9lY06e1SmMjO+PeQ34tQ0jTi1/V3MAXhf+cuva9fceWreV3l4W8XSFSp6/D+UMtxE5D1Sx45WyugRql3zWbux9HFnyaFIARHVoyJljHlYUp2kGkkjJc2y1nY8p9yHFU/I0dvvVqi2rrnNdp9PGjs6s93z4+IcnXVGRrTiAegFQoGA9vz+6TYlSpIatu/S7v+cr1OefDAi7+M4jgruulU7b71b9Zu2tmz0+5Q+cYxO/O2siLwHgG/1dEaq1lo7R5KMMb+WNFvSzT1O5TEFg5M04/IT9MKSEh2oarl8QUqST5PPy9b4Mf1dTgegN6h6f63qN2/rcKx23QaFAgE5/sgcJEgdNVzDl/5J5c8vVuOeUqWMOl2ZkyYyGwUcBz36qT1UolrFqWVmKiZdNjlP48dkasX7FWpuDmrCmP4adEL7heUAYpTvO87tcSJ/3k9cQrzyrroi4q8LoC2nqytmG2OWScrvYGiutfbV1udkSnpZ0jRrbUVXbxoINIf8/uN3FtqevfV6869l8vsdXXphvjLSE47bewFAd4Sam/XeOdNU9bdN7cYGTL9EZy18xIVU3rZ/7XqVv7VKCXnZGnzVVMUl8Lsex02n07ldFqmuGGMyJP23pNnW2p3d+ZqysuqI3+8kNzdNZWXVWvDSN3p9RZmqa1vWK2VlxmvapfmaMikv0m/Zpxzafzh27LueiaX9V/Hacu2a/YCa9pYf3pZ06jAVPXG/kopOOubXi6V9d6RQIKDts+5U5dKVCtW3nBndzxTqpHt+rfTxZ3XrNWJ130VKrO2/3Ny0TotUTxeb50h6RNLt1trdxphp1toXe/KaPfHRuv165fUSNR1xl5WK/U1a8MoejTgtTUMGcqgNgHuyphQrecSpKn36OQUq9ivxpMEacN0M+dK4/dOx2P3wk6p4aWmbbQftDu2a+5CGL31GcfGckI7o6el32xutr/GsMUaSqiW5VqRWralsU6IOqa1t1vJ39+mavx8c/VAAcIR+QwZqyFzOnuuJA+982OH2+o1bVbHoTeVceUmUEyGW9XSx+ZmRChIJBxs6v2Lvd40BALwjWNP5RZCbyvZFMQnQx24RUzCo80N3JxcmRzEJAOB4STplWIfbfelpypx8bpTTINb1qSI19aI8DStoX6ZGnp6m88dlu5AIABBpA266SgkD259MnnX5ZCUVDnEhEaItFAqp+pP1qnx9pZpr61zN0qdW5KUk+zV7ZpFeWLJHW3fWye9zZIpSNGPqQPl8XIgOAPqC1DNHqOiP96tk/kId3PqF4tJTlTlpgk646R/djoYoqN2wWV/OnafqteulpoAShgxU7ozLNWjWda7k6VNFSpL6Z8brhqv4iwQA+rLU0SNU9Id73I6BKAs2BbTjl79T/QZ7eFvjl99o9yPzlTAwX7k/vizqmfrUoT0AANB37XvptTYl6rDGJlW8+mb0A4kiBQAAPKLx65JOxwJH3RA8WihSAADAE1JGDZc6ucVcYoE714rsc2ukAADHV/Bgg0qeWKCadevlxPmUNuH7yr96uhzf8buHKiBJGcXjlT7xbFWt/KDNdn92lvKunu5KJooUAKDbgg2N2nLNL1X1zurD2yqXrlD16nUqevxeOQ5nSOP4cRxHRf9zr7668xFVrVqj5rp6JZ92svKvm6H0ce5cI5wiBQDotr3/+1ybEnVI5ZLlqljytrIvu9CFVIgl/rRUDX1ojkKhkEKBZtfvrcgaKQBAt9Ws/azjgWBQ1e9+FN0wx1koyK3FejPHcVwvURIzUgCAY+DEx3c++F1jHlL+wmsqXfiKGnZ8JX9WhjInTdTgX/1Ujp+PTLTHdwUAoNsyLhivir+8IYVCbbY7/RKVNXWyS6kip/zFpfrijnsVrK2XJDXtLVP9pm1qqtivwofmuJwOvRGH9gAA3ZYzfYpyZvxQSkg4vM1JStKAG36i9LNHuZgsMsoWvnK4RB2p8vWVatjd+TWMELuYkQIAdJvjOBr60G+UfflF2v/We3Li4pT1dz9Q6qjhbkfrsVAopIM7v+5wrLliv6pWrVHuj6J/CxL0bhQpAMAxcRxHGeeOVca5Y92OElGO4yg+O1NNe/a2H0tMUNLJhS6kQm/HoT0AAFplTJrQ4fa0saOVOur0KKeBFzAjBQBAq8G33aRAxQFVvrZcgX2VchITlHbOmRr6IAvN0TGKFAAArRyfT0Pvv0ODbrlOVavWql/RSUo94zS3Y6EXo0gBAHCUhAF5yrnyErdjwANYIwUAABAmihQAAECYKFIAAABhokgBAACEiSIFAAAQJooUAABAmChSAAAAYaJIAQAAhIkiBQAAECaubA4A6PXqNm/XgRWrFJ+fo+ypk+X4+fhC78B3IgCg1wo1N2vnbXerYslyBWtqJUkljz2jIff8SuljR7mcDuDQHgCgF9v9X0+p/M+LDpcoSarbuEW75jygUCDgYjKgRY9mpIwxMyV9T9IWSRMk3Wet/SASwQAAqFrZ8UdK/edbtG/RW8q54uIoJwLa6umMVKKkm621D0h6WtJdPU4EAECr5uqaTseaSsujmAToWI9mpFoL1CFFkjb2LA4AAN/qVzRU9XZHu+2+tFRlFk9wIRHQlhMKhb7zCcaYZZLyOxiaa6191RgzQNIdkkZLutJa2+WfCIFAc8jv94WTFwAQQyreX6tPrrpFDbv3ttk++NrpGvnEPS6lQgxyOh3oqkh1lzGmWC1rpM7u6rllZdWRedMj5OamqaysOtIvGzPYf+Fj3/UM+y98sbLvqj7+VKXzF6p+6xfypaUoo3i8Bt58rZy48FenxMq+O15ibf/l5qZ1WqR6utj8dmvtg60Pd0oq7MnrAQBwtPQxI5U+ZqTbMYAO9fQ6UkOMMfMklUsaKen6nkcCAADwhp4uNr85UkEAAAC8hgtyAgAAhIkiBQAAECaKFAAAQJgoUgAAAGGiSAEAAISJIgUAABAmihQAAECYKFIAAABhokgBQIwL1h9UU3mFQsGg21EAz+npLWIAAB7VXFunXXMeVNV7Hyuwv0r9hhUo9x8uV/7V092OBngGRQoAYtT2f/2N9i/76+HHdZ9t0pdbdsiXkqSc6Ze6mAzwDg7tAUAMqvl0ow68s7rd9tDBBpU/t9iFRIA3UaQAIAbVrPlMofqDHY41fFMS5TSAd1GkACAGJQ83UkJCh2PxuTlRTgN4F0UKAGJQ+jmjlX7O6PYDfp+yp06OfiDAoyhSABCjCh+9U5kXny9fWookKXHoiRo063rlX/tjl5MB3sFZewAQoxLycnTKUw+poaRMTSVlSjaFikvq53YswFMoUgAQ4xIH5CpxQK7bMQBP4tAeAABAmChSAAAAYaJIAQAAhIkiBQAAECaKFAAAQJgoUgAAAGGiSAEAAISJIgUAABAmihQAAECYKFIAAABhckKhkNsZAAAAPIkZKQAAgDBRpAAAAMJEkQIAAAgTRQoAACBMFCkAAIAwUaQAAADC5Hc7QCQZY2ZK+p6kLZImSLrPWvuBu6m8wxjzsKQ6STWSRkqaZa0tcTeVNxhj4iTdIOl3koqttRtcjtTrGWMulHSlpFJJIWvtnS5H8gxjzABJd0saaa0d43YeLzHGDFPLvvtE0mBJ+6y1d7mbyhtaf88tkrRaUoKkYZL+xVpb72owl/W1GalESTdbax+Q9LQkfjiOTa21dra19l5J6yTNdjuQh4xUyy+XOreDeIExJlnS45Jusdb+u6QzjDGT3E3lKRMl/UWS43YQD8qS9H/W2gettTMlzTDGnOV2KA/5wFp7l7V2jqRktfwxFNP61IxUa4E6pEjSRreyeFHrD8YhcWqZmUI3WGvXSZIxxu0oXjFO0i5rbUPr4/clXSrpbfcieYe19gVjzPlu5/Aia+3HR22Kk1TrRhavsdYG1TKbJ2OMXy0zetbVUL2A54qUMWaZpPwOhuZaa19tnfK+Q9Jo0ZTb6Wr/tT4nU9IPJE2LZrberjv7Dt2WJ6n6iMdVrduAqDHGXCFpmbV2s9tZvMQYc5GkWyQtttaucTuP2zxXpKy1F3UxXiJppjGmWNJrks6OSjCP6Gr/GWMyJD2mluPeFdFJ5Q1d7Tsck1JJaUc8Tm/dBkSFMeYCSRdImuV2Fq+x1i6TtMwY8ydjzM+ttY+5nclNfWqNlDHm9iMe7pRU6FYWLzLG5Ej6g6TbrbU7jTHMSOF4+UBSgTEmsfXxBElLXMyDGGKMuVTSRZJmShpgjBnnciRPMMac3rrvDuFzVh6ckerCEGPMPEnlaln8e73LebzmDbV8TzzbutanWtKLribyCGNMf0m/kJQh6UZjzAJr7Ycux+q1rLV1xpifSXrUGFMm6TNrLeujuskYc56kf5J0gjFmjqR5sX7mVHe1Liz/s6Q1klZISlHLH5Cc4d21BknXGWNGS4qXdJqkf3M3kvucUCjkdgYAAABP6lOH9gAAAKKJIgUAABAmihQAAECYKFIAAABhokgBAACEiSIFAAAQJooUAABAmChSAAAAYfp/oiDYCGO8eJgAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x=Xc[:, 0], y=Xc[:, 1], c=y[y == pred],\n", + " marker='o', cmap='coolwarm')\n", + "plt.scatter(x=Xf[:, 0], y=Xf[:, 1], c=y[y != pred],\n", + " marker='x', cmap='coolwarm');\n", + "# plt.savefig('../../images/ch13/ml_plot_05.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " depth | accuracy\n", + "--------------------\n", + " 1 | 0.92\n", + " 2 | 0.92\n", + " 3 | 0.94\n", + " 4 | 0.97\n", + " 5 | 0.99\n", + " 6 | 1.00\n" + ] + } + ], + "source": [ + "print('{:>8s} | {:8s}'.format('depth', 'accuracy'))\n", + "print(20 * '-')\n", + "for depth in range(1, 7):\n", + " model = DecisionTreeClassifier(max_depth=depth)\n", + " model.fit(X, y)\n", + " acc = accuracy_score(y, model.predict(X))\n", + " print('{:8d} | {:8.2f}'.format(depth, acc))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Deep Neural Network" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### scikit-learn" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.neural_network import MLPClassifier" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "model = MLPClassifier(solver='lbfgs', alpha=1e-5,\n", + " hidden_layer_sizes=2 * [75], random_state=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 911 ms, sys: 6.35 ms, total: 917 ms\n", + "Wall time: 264 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n", + " beta_2=0.999, early_stopping=False, epsilon=1e-08,\n", + " hidden_layer_sizes=[75, 75], learning_rate='constant',\n", + " learning_rate_init=0.001, max_iter=200, momentum=0.9,\n", + " n_iter_no_change=10, nesterovs_momentum=True, power_t=0.5,\n", + " random_state=10, shuffle=True, solver='lbfgs', tol=0.0001,\n", + " validation_fraction=0.1, verbose=False, warm_start=False)" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0,\n", + " 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0,\n", + " 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1,\n", + " 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1,\n", + " 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred = model.predict(X)\n", + "pred" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(y, pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "tf.logging.set_verbosity(tf.logging.ERROR) " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "fc = [tf.contrib.layers.real_valued_column('features')] " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "model = tf.contrib.learn.DNNClassifier(hidden_units=5 * [250],\n", + " n_classes=2, feature_columns=fc) " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "def input_fn(): \n", + " fc = {'features': tf.constant(X)}\n", + " la = tf.constant(y)\n", + " return fc, la" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3.1 s, sys: 228 ms, total: 3.33 s\n", + "Wall time: 2.39 s\n" + ] + }, + { + "data": { + "text/plain": [ + "DNNClassifier(params={'head': , 'hidden_units': [250, 250, 250, 250, 250], 'feature_columns': (_RealValuedColumn(column_name='features', dimension=1, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': , 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(input_fn=input_fn, steps=100) " + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'loss': 0.18742655,\n", + " 'accuracy': 0.91,\n", + " 'labels/prediction_mean': 0.501635,\n", + " 'labels/actual_label_mean': 0.5,\n", + " 'accuracy/baseline_label_mean': 0.5,\n", + " 'auc': 0.97880006,\n", + " 'auc_precision_recall': 0.9787836,\n", + " 'accuracy/threshold_0.500000_mean': 0.91,\n", + " 'precision/positive_threshold_0.500000_mean': 0.9019608,\n", + " 'recall/positive_threshold_0.500000_mean': 0.92,\n", + " 'global_step': 100}" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(input_fn=input_fn, steps=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 0, 0, 1, 1, 0, 1, 1, 1, 1])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred = np.array(list(model.predict(input_fn=input_fn))) \n", + "pred[:10] " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 9.86 s, sys: 993 ms, total: 10.9 s\n", + "Wall time: 3.98 s\n" + ] + }, + { + "data": { + "text/plain": [ + "DNNClassifier(params={'head': , 'hidden_units': [250, 250, 250, 250, 250], 'feature_columns': (_RealValuedColumn(column_name='features', dimension=1, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': , 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(input_fn=input_fn, steps=750) " + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'loss': 0.09693404,\n", + " 'accuracy': 0.97,\n", + " 'labels/prediction_mean': 0.46790045,\n", + " 'labels/actual_label_mean': 0.5,\n", + " 'accuracy/baseline_label_mean': 0.5,\n", + " 'auc': 0.99679995,\n", + " 'auc_precision_recall': 0.9969604,\n", + " 'accuracy/threshold_0.500000_mean': 0.97,\n", + " 'precision/positive_threshold_0.500000_mean': 1.0,\n", + " 'recall/positive_threshold_0.500000_mean': 0.94,\n", + " 'global_step': 850}" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(input_fn=input_fn, steps=1) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Feature Transforms" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import preprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.6876, -0.7976],\n", + " [-0.4312, -0.7606],\n", + " [-1.4393, -1.2363],\n", + " [ 1.118 , -1.8682],\n", + " [ 0.0502, 0.659 ]])" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.2881, -0.5489],\n", + " [-0.3384, -0.5216],\n", + " [-1.1122, -0.873 ],\n", + " [ 0.8509, -1.3399],\n", + " [ 0.0312, 0.5273]])" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xs = preprocessing.StandardScaler().fit_transform(X) \n", + "Xs[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.7262, 0.3563],\n", + " [0.3939, 0.3613],\n", + " [0.2358, 0.2973],\n", + " [0.6369, 0.2122],\n", + " [0.4694, 0.5523]])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xm = preprocessing.MinMaxScaler().fit_transform(X) \n", + "Xm[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.6791, -0.3209],\n", + " [-0.3618, -0.6382],\n", + " [-0.5379, -0.4621],\n", + " [ 0.3744, -0.6256],\n", + " [ 0.0708, 0.9292]])" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xn1 = preprocessing.Normalizer(norm='l1').transform(X) \n", + "Xn1[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.9041, -0.4273],\n", + " [-0.4932, -0.8699],\n", + " [-0.7586, -0.6516],\n", + " [ 0.5135, -0.8581],\n", + " [ 0.076 , 0.9971]])" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xn2 = preprocessing.Normalizer(norm='l2').transform(X) \n", + "Xn2[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "markers = ['o', '.', 'x', '^', 'v']\n", + "data_sets = [X, Xs, Xm, Xn1, Xn2]\n", + "labels = ['raw', 'standard', 'minmax', 'norm(1)', 'norm(2)']\n", + "for x, m, l in zip(data_sets, markers, labels):\n", + " plt.scatter(x=x[:, 0], y=x[:, 1], c=y,\n", + " marker=m, cmap='coolwarm', label=l)\n", + "plt.legend();\n", + "# plt.savefig('../../images/ch13/ml_plot_06.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.6876, -0.7976],\n", + " [-0.4312, -0.7606],\n", + " [-1.4393, -1.2363],\n", + " [ 1.118 , -1.8682],\n", + " [ 0.0502, 0.659 ]])" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1., 0.],\n", + " [0., 0.],\n", + " [0., 0.],\n", + " [1., 0.],\n", + " [1., 1.]])" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xb = preprocessing.Binarizer().fit_transform(X) \n", + "Xb[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 ** 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[3, 1],\n", + " [1, 1],\n", + " [0, 0],\n", + " [3, 0],\n", + " [2, 2]])" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xd = np.digitize(X, bins=[-1, 0, 1]) \n", + "Xd[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "16" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 ** 2 " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Train-Test Splits " + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.svm import SVC\n", + "from sklearn.model_selection import train_test_split" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "train_x, test_x, train_y, test_y = train_test_split(X, y, test_size=0.33,\n", + " random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [], + "source": [ + "model = SVC(C=1, kernel='linear')" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", + " kernel='linear', max_iter=-1, probability=False, random_state=None,\n", + " shrinking=True, tol=0.001, verbose=False)" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(train_x, train_y) " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "pred_train = model.predict(train_x) " + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9402985074626866" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(train_y, pred_train) " + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [], + "source": [ + "pred_test = model.predict(test_x) " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ True, True, True, True, True, True, True, True, True,\n", + " True, False, False, False, True, True, True, False, False,\n", + " False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, False, True])" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test_y == pred_test " + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7878787878787878" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(test_y, pred_test) " + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "test_c = test_x[test_y == pred_test]\n", + "test_f = test_x[test_y != pred_test]" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(x=test_c[:, 0], y=test_c[:, 1], c=test_y[test_y == pred_test],\n", + " marker='o', cmap='coolwarm')\n", + "plt.scatter(x=test_f[:, 0], y=test_f[:, 1], c=test_y[test_y != pred_test],\n", + " marker='x', cmap='coolwarm');\n", + "# plt.savefig('../../images/ch13/ml_plot_07.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "bins = np.linspace(-4.5, 4.5, 50)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "Xd = np.digitize(X, bins=bins)" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[34, 21],\n", + " [23, 21],\n", + " [17, 18],\n", + " [31, 15],\n", + " [25, 29]])" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xd[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "train_x, test_x, train_y, test_y = train_test_split(Xd, y, test_size=0.33,\n", + " random_state=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " kernel | accuracy\n", + "--------------------\n", + " linear | 0.848\n", + " poly | 0.758\n", + " rbf | 0.788\n", + " sigmoid | 0.455\n" + ] + } + ], + "source": [ + "print('{:>8s} | {:8s}'.format('kernel', 'accuracy'))\n", + "print(20 * '-')\n", + "for kernel in ['linear', 'poly', 'rbf', 'sigmoid']:\n", + " model = SVC(C=1, kernel=kernel)\n", + " model.fit(train_x, train_y)\n", + " acc = accuracy_score(test_y, model.predict(test_x))\n", + " print('{:>8s} | {:8.3f}'.format(kernel, acc))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch14/14_trading_platform.ipynb b/code/ch14/14_trading_platform.ipynb new file mode 100644 index 0000000..251d2ca --- /dev/null +++ b/code/ch14/14_trading_platform.ipynb @@ -0,0 +1,1888 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Trading Platform" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Risk Disclaimer" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "Trading forex/CFDs on margin carries a high level of risk and may not be suitable for all investors as you could sustain losses in excess of deposits. Leverage can work against you. Due to the certain restrictions imposed by the local law and regulation, German resident retail client(s) could sustain a total loss of deposited funds but are not subject to subsequent payment obligations beyond the deposited funds. Be aware and fully understand all risks associated with the market and trading. Prior to trading any products, carefully consider your financial situation and experience level. Any opinions, news, research, analyses, prices, or other information is provided as general market commentary, and does not constitute investment advice. FXCM & TPQ will not accept liability for any loss or damage, including without limitation to, any loss of profit, which may arise directly or indirectly from use of or reliance on such information.\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Author Disclaimer" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The author is neither an employee, agent nor representative of FXCM and is therefore acting independently. The opinions given are their own, constitute general market commentary, and do not constitute the opinion or advice of FXCM or any form of personal or investment advice. FXCM assumes no responsibility for any loss or damage, including but not limited to, any loss or gain arising out of the direct or indirect use of this or any other content. Trading forex/CFDs on margin carries a high level of risk and may not be suitable for all investors as you could sustain losses in excess of deposits." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Retrieving Tick Data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import time\n", + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pylab import mpl, plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from fxcmpy import fxcmpy_tick_data_reader as tdr" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('AUDCAD', 'AUDCHF', 'AUDJPY', 'AUDNZD', 'CADCHF', 'EURAUD', 'EURCHF', 'EURGBP', 'EURJPY', 'EURUSD', 'GBPCHF', 'GBPJPY', 'GBPNZD', 'GBPUSD', 'GBPCHF', 'GBPJPY', 'GBPNZD', 'NZDCAD', 'NZDCHF', 'NZDJPY', 'NZDUSD', 'USDCAD', 'USDCHF', 'USDJPY')\n" + ] + } + ], + "source": [ + "print(tdr.get_available_symbols())" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "start = dt.datetime(2018, 6, 25) \n", + "stop = dt.datetime(2018, 6, 30) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "td = tdr('EURUSD', start, stop) " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Index: 1963779 entries, 06/24/2018 21:00:12.290 to 06/29/2018 20:59:00.607\n", + "Data columns (total 2 columns):\n", + "Bid float64\n", + "Ask float64\n", + "dtypes: float64(2)\n", + "memory usage: 44.9+ MB\n" + ] + } + ], + "source": [ + "td.get_raw_data().info() " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 1963779 entries, 2018-06-24 21:00:12.290000 to 2018-06-29 20:59:00.607000\n", + "Data columns (total 2 columns):\n", + "Bid float64\n", + "Ask float64\n", + "dtypes: float64(2)\n", + "memory usage: 44.9 MB\n" + ] + } + ], + "source": [ + "td.get_data().info() " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sub[['Mid', 'SMA']].plot(figsize=(10, 6), lw=0.75);\n", + "# plt.savefig('../../images/ch14/fxcm_plot_01.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Retrieving Candles Data" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from fxcmpy import fxcmpy_candles_data_reader as cdr" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('AUDCAD', 'AUDCHF', 'AUDJPY', 'AUDNZD', 'CADCHF', 'EURAUD', 'EURCHF', 'EURGBP', 'EURJPY', 'EURUSD', 'GBPCHF', 'GBPJPY', 'GBPNZD', 'GBPUSD', 'GBPCHF', 'GBPJPY', 'GBPNZD', 'NZDCAD', 'NZDCHF', 'NZDJPY', 'NZDUSD', 'USDCAD', 'USDCHF', 'USDJPY')\n" + ] + } + ], + "source": [ + "print(cdr.get_available_symbols())" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "start = dt.datetime(2018, 5, 1)\n", + "stop = dt.datetime(2018, 6, 30)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`period` must be one of `m1`, `H1` or `D1`" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "period = 'H1' " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "candles = cdr('EURUSD', start, stop, period)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "data = candles.get_data()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 1080 entries, 2018-04-29 21:00:00 to 2018-06-29 20:00:00\n", + "Data columns (total 8 columns):\n", + "BidOpen 1080 non-null float64\n", + "BidHigh 1080 non-null float64\n", + "BidLow 1080 non-null float64\n", + "BidClose 1080 non-null float64\n", + "AskOpen 1080 non-null float64\n", + "AskHigh 1080 non-null float64\n", + "AskLow 1080 non-null float64\n", + "AskClose 1080 non-null float64\n", + "dtypes: float64(8)\n", + "memory usage: 75.9 KB\n" + ] + } + ], + "source": [ + "data.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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2018-06-29 20:00:001.167751.169071.167601.16861
\n", + "
" + ], + "text/plain": [ + " AskOpen AskHigh AskLow AskClose\n", + "2018-06-29 16:00:00 1.16769 1.16820 1.16732 1.16771\n", + "2018-06-29 17:00:00 1.16771 1.16827 1.16711 1.16782\n", + "2018-06-29 18:00:00 1.16782 1.16817 1.16669 1.16686\n", + "2018-06-29 19:00:00 1.16686 1.16794 1.16640 1.16775\n", + "2018-06-29 20:00:00 1.16775 1.16907 1.16760 1.16861" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[data.columns[4:]].tail() " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "data['MidClose'] = data[['BidClose', 'AskClose']].mean(axis=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "data['SMA1'] = data['MidClose'].rolling(30).mean() \n", + "data['SMA2'] = data['MidClose'].rolling(100).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " askopen askclose askhigh asklow tickqty\n", + "date \n", + "2018-07-12 21:00:00 112.028 112.547 112.628 111.919 302016\n", + "2018-07-13 21:00:00 112.547 112.343 112.802 112.278 252161\n", + "2018-07-15 21:00:00 112.343 112.242 112.399 112.118 547\n", + "2018-07-16 21:00:00 112.242 112.302 112.565 112.217 200248\n", + "2018-07-17 21:00:00 112.302 112.892 112.926 112.228 286666\n", + "2018-07-18 21:00:00 112.892 112.845 113.139 112.711 251874\n", + "2018-07-19 21:00:00 112.845 112.477 113.179 112.065 313821\n", + "2018-07-20 21:00:00 112.477 111.481 112.625 111.388 413345\n", + "2018-07-22 21:00:00 111.400 111.396 111.402 111.186 563\n", + "2018-07-23 21:00:00 111.396 111.350 111.546 110.754 307482" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "candles[candles.columns[4:]] " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "start = dt.datetime(2017, 1, 1) \n", + "end = dt.datetime(2018, 1, 1) " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "candles = api.get_candles('EUR/GBP', period='D1',\n", + " start=start, stop=end) " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 309 entries, 2017-01-03 22:00:00 to 2018-01-01 22:00:00\n", + "Data columns (total 9 columns):\n", + "bidopen 309 non-null float64\n", + "bidclose 309 non-null float64\n", + "bidhigh 309 non-null float64\n", + "bidlow 309 non-null float64\n", + "askopen 309 non-null float64\n", + "askclose 309 non-null float64\n", + "askhigh 309 non-null float64\n", + "asklow 309 non-null float64\n", + "tickqty 309 non-null int64\n", + "dtypes: float64(8), int64(1)\n", + "memory usage: 24.1 KB\n" + ] + } + ], + "source": [ + "candles.info() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The parameter `period` must be one of `m1, m5, m15, m30, H1, H2, H3, H4, H6, H8, D1, W1` or `M1`." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "candles = api.get_candles('EUR/USD', period='m1', number=250) " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "candles['askclose'].plot(figsize=(10, 6))\n", + "# plt.savefig('../../images/ch14/fxcm_plot_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Streaming Data" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "def output(data, dataframe):\n", + " print('%3d | %s | %s | %6.5f, %6.5f' \n", + " % (len(dataframe), data['Symbol'],\n", + " pd.to_datetime(int(data['Updated']), unit='ms'), \n", + " data['Rates'][0], data['Rates'][1])) " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1 | EUR/USD | 2018-07-24 12:40:06.370000 | 1.16941, 1.16943\n", + " 2 | EUR/USD | 2018-07-24 12:40:06.950000 | 1.16941, 1.16942\n", + " 3 | EUR/USD | 2018-07-24 12:40:07.999000 | 1.16938, 1.16939\n", + " 4 | EUR/USD | 2018-07-24 12:40:08.282000 | 1.16937, 1.16939\n", + " 5 | EUR/USD | 2018-07-24 12:40:08.988000 | 1.16939, 1.16941\n", + " 6 | EUR/USD | 2018-07-24 12:40:09.479000 | 1.16941, 1.16943\n" + ] + } + ], + "source": [ + "api.subscribe_market_data('EUR/USD', (output,)) " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Bid 1.16941\n", + "Ask 1.16943\n", + "High 1.17169\n", + "Low 1.16546\n", + "Name: 2018-07-24 12:40:09.479000, dtype: float64" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "api.get_last_price('EUR/USD') " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 7 | EUR/USD | 2018-07-24 12:40:10.007000 | 1.16940, 1.16943\n" + ] + } + ], + "source": [ + "api.unsubscribe_market_data('EUR/USD') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Placing Orders" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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tradeIdamountKcurrencygrossPLisBuy
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16147117450EUR/GBP-3.27961True
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16147121375EUR/USD2.25000True
26147117750EUR/GBP-1.31187True
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\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/code/ch15/15_trading_strategies_a.ipynb b/code/ch15/15_trading_strategies_a.ipynb new file mode 100644 index 0000000..d5e30a0 --- /dev/null +++ b/code/ch15/15_trading_strategies_a.ipynb @@ -0,0 +1,1025 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Trading Strategies (a)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simple Moving Averages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Import" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pylab import mpl, plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 2216 entries, 2010-01-01 to 2018-06-29\n", + "Data columns (total 12 columns):\n", + "AAPL.O 2138 non-null float64\n", + "MSFT.O 2138 non-null float64\n", + "INTC.O 2138 non-null float64\n", + "AMZN.O 2138 non-null float64\n", + "GS.N 2138 non-null float64\n", + "SPY 2138 non-null float64\n", + ".SPX 2138 non-null float64\n", + ".VIX 2138 non-null float64\n", + "EUR= 2216 non-null float64\n", + "XAU= 2211 non-null float64\n", + "GDX 2138 non-null float64\n", + "GLD 2138 non-null float64\n", + "dtypes: float64(12)\n", + "memory usage: 225.1 KB\n" + ] + } + ], + "source": [ + "raw.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "symbol = 'AAPL.O'" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "data = (\n", + " pd.DataFrame(raw[symbol])\n", + " .dropna()\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Trading Strategy" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "SMA1 = 42 \n", + "SMA2 = 252 " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "data['SMA1'] = data[symbol].rolling(SMA1).mean() \n", + "data['SMA2'] = data[symbol].rolling(SMA2).mean() " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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AAPL.OSMA1SMA2Position
Date
2018-06-25182.17185.606190168.2655561
2018-06-26184.43186.087381168.4187701
2018-06-27184.16186.607381168.5792061
2018-06-28185.50187.089286168.7366271
2018-06-29185.11187.470476168.9010321
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" + ], + "text/plain": [ + " AAPL.O SMA1 SMA2 Position\n", + "Date \n", + "2018-06-25 182.17 185.606190 168.265556 1\n", + "2018-06-26 184.43 186.087381 168.418770 1\n", + "2018-06-27 184.16 186.607381 168.579206 1\n", + "2018-06-28 185.50 187.089286 168.736627 1\n", + "2018-06-29 185.11 187.470476 168.901032 1" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = data.plot(secondary_y='Position', figsize=(10, 6))\n", + "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n", + "# plt.savefig('../../images/ch15/strat_plot_02.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Vectorized Backtesting" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "data['Returns'] = np.log(data[symbol] / data[symbol].shift(1)) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "data['Strategy'] = data['Position'].shift(1) * data['Returns'] " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AAPL.OSMA1SMA2PositionReturnsStrategy
Date
2010-12-3146.080045.281037.12071NaNNaN
2011-01-0347.081445.349737.186210.02150.0215
2011-01-0447.327145.412637.252510.00520.0052
2011-01-0547.714245.466137.322310.00810.0081
2011-01-0647.675745.522637.39211-0.0008-0.0008
\n", + "
" + ], + "text/plain": [ + " AAPL.O SMA1 SMA2 Position Returns Strategy\n", + "Date \n", + "2010-12-31 46.0800 45.2810 37.1207 1 NaN NaN\n", + "2011-01-03 47.0814 45.3497 37.1862 1 0.0215 0.0215\n", + "2011-01-04 47.3271 45.4126 37.2525 1 0.0052 0.0052\n", + "2011-01-05 47.7142 45.4661 37.3223 1 0.0081 0.0081\n", + "2011-01-06 47.6757 45.5226 37.3921 1 -0.0008 -0.0008" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.round(4).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Returns 4.017148\n", + "Strategy 5.811299\n", + "dtype: float64" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.exp(data[['Returns', 'Strategy']].sum()) " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Returns 0.250571\n", + "Strategy 0.250407\n", + "dtype: float64" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['Returns', 'Strategy']].std() * 252 ** 0.5 " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = data[['Returns', 'Strategy']].cumsum(\n", + " ).apply(np.exp).plot(figsize=(10, 6))\n", + "data['Position'].plot(ax=ax, secondary_y='Position', style='--')\n", + "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n", + "# plt.savefig('../../images/ch15/strat_plot_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "from itertools import product" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "sma1 = range(20, 61, 4) \n", + "sma2 = range(180, 281, 10) " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "results = pd.DataFrame()\n", + "for SMA1, SMA2 in product(sma1, sma2): \n", + " data = pd.DataFrame(raw[symbol])\n", + " data.dropna(inplace=True)\n", + " data['Returns'] = np.log(data[symbol] / data[symbol].shift(1))\n", + " data['SMA1'] = data[symbol].rolling(SMA1).mean()\n", + " data['SMA2'] = data[symbol].rolling(SMA2).mean()\n", + " data.dropna(inplace=True)\n", + " data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)\n", + " data['Strategy'] = data['Position'].shift(1) * data['Returns']\n", + " data.dropna(inplace=True)\n", + " perf = np.exp(data[['Returns', 'Strategy']].sum())\n", + " results = results.append(pd.DataFrame(\n", + " {'SMA1': SMA1, 'SMA2': SMA2,\n", + " 'MARKET': perf['Returns'],\n", + " 'STRATEGY': perf['Strategy'],\n", + " 'OUT': perf['Strategy'] - perf['Returns']},\n", + " index=[0]), ignore_index=True) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 121 entries, 0 to 120\n", + "Data columns (total 5 columns):\n", + "SMA1 121 non-null int64\n", + "SMA2 121 non-null int64\n", + "MARKET 121 non-null float64\n", + "STRATEGY 121 non-null float64\n", + "OUT 121 non-null float64\n", + "dtypes: float64(3), int64(2)\n", + "memory usage: 4.8 KB\n" + ] + } + ], + "source": [ + "results.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " SMA1 SMA2 MARKET STRATEGY OUT\n", + "56 40 190 4.650342 7.175173 2.524831\n", + "39 32 240 4.045619 6.558690 2.513071\n", + "59 40 220 4.220272 6.544266 2.323994\n", + "46 36 200 4.074753 6.389627 2.314874\n", + "55 40 180 4.574979 6.857989 2.283010\n", + "70 44 220 4.220272 6.469843 2.249571\n", + "101 56 200 4.074753 6.319524 2.244772" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.sort_values('OUT', ascending=False).head(7)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Random Walk Hypothesis" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "symbol = '.SPX'" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(raw[symbol])" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "lags = 5\n", + "cols = []\n", + "for lag in range(1, lags + 1):\n", + " col = 'lag_{}'.format(lag) \n", + " data[col] = data[symbol].shift(lag) \n", + " cols.append(col) " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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.SPXlag_1lag_2lag_3lag_4lag_5
Date
2010-01-01NaNNaNNaNNaNNaNNaN
2010-01-041132.99NaNNaNNaNNaNNaN
2010-01-051136.521132.99NaNNaNNaNNaN
2010-01-061137.141136.521132.99NaNNaNNaN
2010-01-071141.691137.141136.521132.99NaNNaN
2010-01-081144.981141.691137.141136.521132.99NaN
2010-01-111146.981144.981141.691137.141136.521132.99
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" + ], + "text/plain": [ + " .SPX lag_1 lag_2 lag_3 lag_4 lag_5\n", + "Date \n", + "2010-01-01 NaN NaN NaN NaN NaN NaN\n", + "2010-01-04 1132.99 NaN NaN NaN NaN NaN\n", + "2010-01-05 1136.52 1132.99 NaN NaN NaN NaN\n", + "2010-01-06 1137.14 1136.52 1132.99 NaN NaN NaN\n", + "2010-01-07 1141.69 1137.14 1136.52 1132.99 NaN NaN\n", + "2010-01-08 1144.98 1141.69 1137.14 1136.52 1132.99 NaN\n", + "2010-01-11 1146.98 1144.98 1141.69 1137.14 1136.52 1132.99" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head(7)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "reg = np.linalg.lstsq(data[cols], data[symbol], rcond=-1)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.966, 0.005, 0.025, 0. , 0.003])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reg.round(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.bar(cols, reg);\n", + "# plt.savefig('../../images/ch15/strat_plot_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "data['Prediction'] = np.dot(data[cols], reg)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[[symbol, 'Prediction']].iloc[-75:].plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_plot_05.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/code/ch15/15_trading_strategies_b.ipynb b/code/ch15/15_trading_strategies_b.ipynb new file mode 100644 index 0000000..dec73ca --- /dev/null +++ b/code/ch15/15_trading_strategies_b.ipynb @@ -0,0 +1,2875 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Trading Strategies (b)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "from pylab import mpl, plt\n", + "import warnings" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "warnings.simplefilter('ignore')\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "np.random.seed(1000)\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Linear OLS Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True).dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['AAPL.O', 'MSFT.O', 'INTC.O', 'AMZN.O', 'GS.N', 'SPY', '.SPX', '.VIX',\n", + " 'EUR=', 'XAU=', 'GDX', 'GLD'],\n", + " dtype='object')" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "raw.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "symbol = 'EUR='" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(raw[symbol])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "data['returns'] = np.log(data / data.shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "data['direction'] = np.sign(data['returns']).astype(int)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " EUR= returns direction\n", + "Date \n", + "2010-01-05 1.4368 -0.002988 -1\n", + "2010-01-06 1.4412 0.003058 1\n", + "2010-01-07 1.4318 -0.006544 -1\n", + "2010-01-08 1.4412 0.006544 1\n", + "2010-01-11 1.4513 0.006984 1" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " EUR= returns direction lag_1 lag_2\n", + "Date \n", + "2010-01-05 1.4368 -0.002988 -1 NaN NaN\n", + "2010-01-06 1.4412 0.003058 1 -0.002988 NaN\n", + "2010-01-07 1.4318 -0.006544 -1 0.003058 -0.002988\n", + "2010-01-08 1.4412 0.006544 1 -0.006544 0.003058\n", + "2010-01-11 1.4513 0.006984 1 0.006544 -0.006544" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data.plot.scatter(x='lag_1', y='lag_2', c='returns', \n", + " cmap='coolwarm', figsize=(10, 6), colorbar=True)\n", + "plt.axvline(0, c='r', ls='--')\n", + "plt.axhline(0, c='r', ls='--');\n", + "# plt.savefig('../../images/ch15/strat_ml_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "model = LinearRegression() " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_ols_1'] = model.fit(data[cols], data['returns']).predict(data[cols]) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_ols_2'] = model.fit(data[cols], data['direction']).predict(data[cols]) " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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pos_ols_1pos_ols_2
Date
2010-01-07-0.000166-0.000086
2010-01-080.0000170.040404
2010-01-11-0.000244-0.011756
2010-01-12-0.000139-0.043398
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" + ], + "text/plain": [ + " pos_ols_1 pos_ols_2\n", + "Date \n", + "2010-01-07 -0.000166 -0.000086\n", + "2010-01-08 0.000017 0.040404\n", + "2010-01-11 -0.000244 -0.011756\n", + "2010-01-12 -0.000139 -0.043398\n", + "2010-01-13 -0.000022 0.002237" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['pos_ols_1', 'pos_ols_2']].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "data[['pos_ols_1', 'pos_ols_2']] = np.where(\n", + " data[['pos_ols_1', 'pos_ols_2']] > 0, 1, -1) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1 1847\n", + " 1 288\n", + "Name: pos_ols_1, dtype: int64" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['pos_ols_1'].value_counts() " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " 1 1377\n", + "-1 758\n", + "Name: pos_ols_2, dtype: int64" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['pos_ols_2'].value_counts() " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "555" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data['pos_ols_1'].diff() != 0).sum() " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "762" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data['pos_ols_2'].diff() != 0).sum() " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "data['strat_ols_1'] = data['pos_ols_1'] * data['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "data['strat_ols_2'] = data['pos_ols_2'] * data['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.810644\n", + "strat_ols_1 0.942422\n", + "strat_ols_2 1.339286\n", + "dtype: float64" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['returns', 'strat_ols_1', 'strat_ols_2']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False 1093\n", + "True 1042\n", + "dtype: int64" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data['direction'] == data['pos_ols_1']).value_counts() " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True 1096\n", + "False 1039\n", + "dtype: int64" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data['direction'] == data['pos_ols_2']).value_counts() " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['returns', 'strat_ols_1', 'strat_ols_2']].cumsum(\n", + " ).apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Clustering" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "model = KMeans(n_clusters=2, random_state=0) # <1>" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", + " n_clusters=2, n_init=10, n_jobs=None, precompute_distances='auto',\n", + " random_state=0, tol=0.0001, verbose=0)" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(data[cols])" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_clus'] = model.predict(data[cols])" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_clus'] = np.where(data['pos_clus'] == 1, -1, 1) " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1, 1, -1, ..., 1, 1, -1])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['pos_clus'].values" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(data[cols].iloc[:, 0], data[cols].iloc[:, 1],\n", + " c=data['pos_clus'], cmap='coolwarm');\n", + "# plt.savefig('../../images/ch15/strat_ml_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "data['strat_clus'] = data['pos_clus'] * data['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.810644\n", + "strat_clus 1.277133\n", + "dtype: float64" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['returns', 'strat_clus']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True 1077\n", + "False 1058\n", + "dtype: int64" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(data['direction'] == data['pos_clus']).value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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"text/plain": [ + "returns 0.810644\n", + "strat_freq 0.989513\n", + "dtype: float64" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['returns', 'strat_freq']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['returns', 'strat_freq']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_06.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Classification Algorithms" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import linear_model\n", + "from sklearn.naive_bayes import GaussianNB\n", + "from sklearn.svm import SVC" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "C = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "models = {\n", + " 'log_reg': linear_model.LogisticRegression(C=C),\n", + " 'gauss_nb': GaussianNB(),\n", + " 'svm': SVC(C=C)\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "def fit_models(data): \n", + " mfit = {model: models[model].fit(data[cols_bin], data['direction'])\n", + " for model in models.keys()} " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "fit_models(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "def derive_positions(data): \n", + " for model in models.keys():\n", + " data['pos_' + model] = models[model].predict(data[cols_bin])" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "derive_positions(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "def evaluate_strats(data): \n", + " global sel\n", + " sel = []\n", + " for model in models.keys():\n", + " col = 'strat_' + model \n", + " data[col] = data['pos_' + model] * data['returns']\n", + " sel.append(col)\n", + " sel.insert(0, 'returns')" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "evaluate_strats(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "sel.insert(1, 'strat_freq')" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.810644\n", + "strat_freq 0.989513\n", + "strat_log_reg 1.243322\n", + "strat_gauss_nb 1.243322\n", + "strat_svm 0.989513\n", + "dtype: float64" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[sel].sum().apply(np.exp) " + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ], + "text/plain": [ + " lag_1_bin lag_2_bin lag_3_bin lag_4_bin lag_5_bin\n", + "Date \n", + "2010-01-12 1 1 0 1 0\n", + "2010-01-13 0 1 1 0 1\n", + "2010-01-14 1 0 1 1 0\n", + "2010-01-15 0 1 0 1 1\n", + "2010-01-19 0 0 1 0 1" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[cols_bin].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "fit_models(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "derive_positions(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "evaluate_strats(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.805002\n", + "strat_log_reg 0.971623\n", + "strat_gauss_nb 0.986420\n", + "strat_svm 1.452406\n", + "dtype: float64" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[sel].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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DfIHPLkTWvfkGbQcPjPj4Eo0ai8V9/TZ8wULib79z2OfavPlvrF9/94jGMZpjfcHcufPIypLGx0II4a8csz+OXKjB2JfhdLQ0dWHoNrFv5/l+901Oj3KrHeXcHj3gezgS2wdaOvQlPhtMeUtp6QVee+3PZGRM4/z5YjIzs2lvb+PllzeSnp6BwWBg48bnWbfuVurqaikqOsNPfvILnnvu18yaNYdz54q48857ycnRs3Xr28qxeXmzWbLk8j7vZzQaeeqpnxIdHU1YWDjbt3/K4sVL+M53vs8vf/kz4uLi6erqIjY2jrvuupcTJ/L51a/+H4899n2mTcvk6ad/Tnb2dH70o39j587POHBgP4mJiRQUnOanP33K4zZPfv/73/LPf37Mrbeup6DgNMHBwfz4x/+lvL53725Onszn5Ml8brnldhYvvmzc/g2EEEKMv/xD5XR1mIYdTAHEJYRxoaiBo/vLlG0P/2A5ne0GWhq62bblOADX3ZLHn57d7XbsUG7OW3GDnrOnalGp7JXXff2OPp8NpuJvv3NEs0jK8SOsu7R371fodDruuOMe6upq0ekCeeedLTz00DeVfT788H1mzJjJgw9+g4KCU2i1Wu6//+vo9bkUFhbw6qt/4mc/+yVr136N11//s9uxvb333ruEhITwne98H6vVynvvvcttt9mv+/LLl7F8+ZUA3H//3axdewuzZs0mJ2c6ANHRMSxffiVVVZUAfPTRNq64YiU33LCa/Pxj/W7z5NFHH2PLljdYu/ZW7rknjHvvXU9LSzORkVEApKams2bNOhoa6nnggXvYuvUjn//lFkII4Zmh28SXnxa5bRtOVfOQMPvM0eGvSgGInxqGVqshMjqE+PhwZT9Pd+Ldet+lg55fq9WQnhVLSXHDRXFHn+RM9bJmzS1ER8fw6KMP8/LLGwkI8PwPmJ5ubwSZmzuTgIAAtm//mFdffZnt2z+hublpyO93/vw5pWK5Wq0mMdF5d0NDQz0bNz7P66+/QkdHBy0tLQOe69vffpzjx4/y0EMb2LdvDzabzeO2/kRHxxAWFgZAVFQUnZ3OpMSkJPv6dmxsHF1dXcO6RiGEEL7FcSeeq6iYkCEf76gF5TBvcZry2HG3H9DnS/dlKzOJnxrOUAQG2z9/L4YkdAmmejl16gT33ns/L774KjExsXz00fuo1WpsNhtnzjgT4Vx/QTZteoXg4BDuu+8hVq9e63Y+lcr+I3Y91tW0adMoK7NH9larVZllOnv2DH/5y+t885v/yoYN9xMbG6scExISQmenfR25pqZa2X7+/DmeeOJJNm78MwcP7ufMmUKP2/oz0ExTZWUFAPX19QQFBREVNfB6txBCCN/V4CEXqXcBzoHoZ7v3hw0Mcp94uPPrC1n/4AIAktLsKxzLr8lxC7oGY+wpi1BwvHqQPb3Pt+fNvKC1tYXf/e7/SEpKprm5iVtuuY3q6iqee+5ZrFYrLS3N1NRU89Zbm7nnnvuIjo5mxYqr2LjxOYxGI2azmZqaag4e3M+CBYvQ63N54YXnCAwMZPr03D7vt3r1Ov7f//sfnn32V8THxxMZGYlKpSItLY2MjAyeeuqnpKVlUFdXy7Zt/+Dhhx/huutu5JVXXqaqqoqGhgZKSy9QVFSk5DQFBQUxbVoWmZlZ7Nixvc82T957713a29vZsWM7ERGR1NRUs23bP1i4cAnFxWfR6XTU1tZQUHCKH//4v2SJTwghLmImk2VUx+sCA7jhtll8uOUEAFar+6pHdKxz5ur6r+Vx+lh1nwBsMBd6Si8c+qqEwhPVrL17Xp+7/nyFaqBln/FUV9c2rm98sfSq6+zspKqqkqysbAA2bFjPn/70F7Ta4XXkvliud6zI9fo3uV7/JtfrPUaDGbVGxb6d5zl+oFzZnpIRzZo75w77fKePVZF/qJx191yi5DWN1fWeOVnD9vdOK8+vXZdHVm78AEeMr/j48H5nEWRmyssMBgO///1vmT//UhobG7jvvoeGHUgJIYQQg7GYrbz86y9JTo8isic/asHSdIJDdehnDW/WyGHG3ERm9Cq4OVam502h6FQtJcX2GarjB8vI1Mf55MqIBFMTpLOzkx07trttCw4OZuXKq3nmmd9O2DgaGurZt2+P27aYmFiPZRuEEEL4j6pye9J5RUmzcjeefvZUn106A1CrnYFTdXkrBcermTE3kbrqNk4eqWT5tTloNN5P/5ZgaoKEhIRw441rvD0MYmPjfGIcQgghJlZ7q7PtS21lGxqNalhJ594QoHMPlMovNDFjbiJbXjkE2IuC5syc4o2hufF+OCeEEEKIcXf2VK3yuKWpi5CwQAK0g7eP8abLVmaRnhXLTetnA1B2vtHt9YAA3xi/zEwJIYQQk0BNZavb87aWwRsUe1toWCA33j4bs9l+96Gh28w7mw4rrw+ll+BEkJmpIZjMjY6FEEJc/Gw2GyajxeeX9frjmhdVXe4MCnuXZPAWCaaGYPPmv3nlWCGEEGIsnD5WBYAmwPmxv2p139qHvkqlUpGRHdtn+7bNx3l/83E6O4xeGJWTzy7zffVZMecKagffsR9qjRqrxeq2LTM3gctXeS5a6TDRjY6PHz/Ktm3/IC0tncLCAh5//N/5n/95EpPJxJNP/g91dTU8++yv+Jd/eZCtW99Go1GTnj6NkyePc/PNX+PcuWLOnClg7do1rFp144h/XkIIIfxTZ4eRnR+dAexLe2lZMURGB4+4HIK3hEYEetxedq6RvZ8Xs2r1jAkekZPPBlPeMtGNjj//fDuJiUncddcGzp0rJigoiO9//wmefPLfmTp1KioVrFixkhUrVhIeHs5LL73At7/9Pc6eLeQ//uPf2Lx5K+3t7Xzve49IMCWEEMKN0WDm3U1HlOd5lyRxxXXTvTiikYseoHegt5f7fDaYunxV1qCzSAMZaQXWNWtuYdOmV3j00YdJS0vnO9/5vsf9XBsdNzY2sH37x+zdu5uOjo5hNQH+l395kNde+xNf//p9zJo1m0cffYzU1DTi4hI4fPggR44c4pZbblP2T05OASAsLJypUxNRq9VERETQ0dG3z5IQQojJ7avPimlp6lKep2bGeHE0oxMV6wympk2P4/yZeuV5796AE01ypnqZ6EbHJ0/m893v/oCXXnqNpqYm9u79CoBbb13PG29soqOjnZiYvuvEQgghxGAMPc2CHYKDL94OG1EuM1Mp6dFur7nmgnmDz85MectENzqurq7kt799hujoGAIDA7nkkksBWLLkcn7zm19x//0PA2A0Gvn44w8oLj5LYWEBX365k5qaag4fPkh1dRVtbW189tk/WbXq6gn9eQkhhPBdkTHu1c2npkR6aSSjFxYRSHRsCOnZseTNT2JKcgQHvrxASVGD2+ybN0ijYz8h1+vf5Hr9m1yvf/Pm9X7xyRlOHq4E4Lb7LyV+avi4v+dEXq/ZbOHFX+0idVo0q+8YfqPm4ZBGx0IIIcQkZDLYi13e+60lhEcGeXk0Y89Rf8pksg6y5/iSYGqCDNToWAghhBgPBoM9Z0oX6BuVwseaSqUiQKvGbLJ4dRwSTE0QX2l0LIQQYvIw9gRTWp3/ftyHhgUSoJUEdCGEGBGzycLhvaWEhunIuyTZ28MRwieUnW8kJExHbHwYRoMZrU6DWt1vus9Fb82dc1FrvHt9EkwJIcaNoduExWxFpVZhMVsJixjbnI0LRQ0c2l0CQPaMKV6vNSOEt1nMVt7/+3EAll+bQ0NtB2H9VA73F76QCyZ/eYQQ48Jms/GnZ3e7bXvkiRU0N3ZhNJiZkhQx6vdwvR26q9MowZSY9DraDcrjXZ+cBSArN95bw5k0pGinEGLMtbd28/Kvv+yzvaKkmY/eyuft1w5TfmHonQI8sdlslJ5rVJ73Lk44Et1dJv7w1A727jw36nMJ4Q1GQ99E7KTUKC+MZHKRYEoIMSwWixWbzYbNZuPAlxf48p9n++yz9a9HMRn7/lHv7jLR3GifTaosax7VOE4erqS6vEV5bug2AWAyWhhp/bxXf2fvQHBkTymNddKiSVx8LJa+JQJUfpwv5StkTlwIMWR11W1seeVQn+3Lrs5RHne0G2ht7vZ4fFNDp/L40O4SqspaWHZ1NrEJYcMeS1VFi9vz7i4zjfUd/P2lAyxYms7C5dOGdB6z2YLNBlaL1a1Z6rH9Zay8qW/XAiF8mcXsHkxNTY4gJSO6n73FWJGZKSHEkBUcr/K43TET1Nlh5LXn9ijbE5Lcqy2fK6xze15Z2szmPx3st+N7e2s3J49UeJxpcsx8XbVmBgANte3s/mcRAAd7ktLNJgu1Va20txncjq2rbqPwRDUNde28/H9f8tIzu5T8rvQsey/Mgvxq5X3b2wweZ9qE8DW9Z6Zu2TBfKWwpxo/MTAkhRs1ktGA2W5VlMoCZ8xKJTQijttLZVqK/pbOi07VMz5vSZ/tn2wqoKGnm6L4y7vrGYrfbux1F+jKyY9EFaji6r6zP8Qe+vKBsX3pVNnMWpgDw1quHsNkgdVp0n0Bu9oJkSoobAHjhlzvJ1MdxrrCeyOhg7v7m4iH9PITwFkcwpQvUcPNd87w8mslDwlUhxJBYLFYuFDV4fG3bm/mcPVWjPJ+aEsmK6/XMmp/MnV9fxLXrZg547u3vncZs7jvzo9Xaqza3NndTX+Pe68toMKPWqNAFBhATF9rn2B0fFroFWLu3FynLjI6JrrLz7knwaZkxpE6L4Zq1zvGeK6wH7HcOtjZ7t5mqEIOpqWwFYNEV0yakD5+wk2BKCDEkHW0G2lvdl8uWrMwEoLq8hapSZw6Ta/AUHRtCcKjO7bgV108nKzeedfc4vzlv25zf5z2DgrXKY9e79QzdZhpqO4iKCQEgzEOdmdPH+i5JvvHifipL3RPftToN3/jhFay8Ua+MO3tGAlNT+pZucCTPCzFSRoOZD9/Kp7pXzt9YsNlsHP6qFIBpOXFjfn7RPwmmhBBD4ghm9LOmsOzqbL7571cwb1Gq8vr5s/YZnBtvm01omHuRQMcME8CCpenMnJfEtevySEyNYsbcRMCeP9Xe6p64XlvtnI1ytMUAqChpwmq1kTnd/oGxdFUWWbnxbHh0CbfdfymqAW5eOvRVidvzKUkRaDRqcuckurXcWH3HXKWfWXpWDAClxc6ZOavVJjNVYthOHa3iwtkG3nn9iMfZ2NE4sOuC8nisC+SKgUnOlBBiSBzBVHhUMLMXpPS7nyag73c01wrFMfHuS3JXXDcdlcr+IdPRblQ+BCrLmt1yrD559xQP/yAWrVaj1KhKzbQHOSFhgVy7Lg+wf4jc/c3FhIYF0tlhBCD/UDkz5iay+U8H+9S3WnZNDp5otRoeenw5nR1GSooaKCluJP9QhbL/gV3nObynlJvWzyYtM7bfn4eh28T2906z7JocIqKC+91P+L+mhk63hsNFp+uIjAoisacOVFN9BxeKGpi3OBXVQN8I+nF4j/2LQlSM/J5NtEGDKb1ePxX4GTC3sLBw4QD7rQC2A/MKCwtPjN0QhRDeZrPZOHbAnn+k7dVQ9Lb7L3Url+Cpzk1QsJYHvruUqvIWMrLdAw+1WqUEUI5aUQAXztT3Oc+JwxVcsjiNtp4ZLE+5UoAStDiCuMtXZQP2ZHVHDtRDjy9DFzj498mQUB2Z+jh2fFgI2H8WKpWK/EMVAJSeaxwwmPro7ZNUljZTUryPb/3oykHfT/in8gtNvPfGMbcvG59vKwDgmrUzydTH88ZLBwBIyYgeUb6TLjAAQ7eZOx5eNDaDFkM2lGW+ZcBWoN8wWa/XJwB3AOVjNC4hhA+5UNRAabG92njvGlLxU8O5+a65yvP+ApygYC3TcuI8fuOOjrXnPp0/U6+UI3DMhK24frqyn6mnunNnu5EArRqtTsNwXH3zTGUsQwmkHAKDtGTq7S05Dnx5AQBbz12A+Qcr+i3tABDo8j5/eGoHf3hqx7DGLPxDVU+R2t51oADOn6mju8v5RcIxozocFrMVQ7eZlIxov25q7KsGDaYKCwu3AG39va7X69XAL4D/HMNxCSF8SG1Vq/J42vS+ia3J6dE88sQKHnp82YiajqZnxRIcquXU0Sol78Mx+5Spj1d6ix36qoTaqla6OoyEhOqGvRSi0ai591tLuPurNwbsAAAgAElEQVSbw//mHjfFXlj00O4S6mvacQ2fXHsE9jbcgE/4p4GC96ryFreyIsNtjVR+oZGP3rEvCEl/Su8Yi5/6j4AXCwsLm/R6/ZAPio4OISBgfP/IxMdPrttC5Xr9mzev12ywf5t+8LFlpKSPTzXlG782h7deP0RdT9J5W3M3kdHBpKbFcNuGBfzyPz8EYPc/i+hoN5KaET2in8lIf44rr8tl/xfnAXjzzwdJz4pV6lEFagP6Pa+nZc/aijb0eVMIcEnMl99n/6Zzublh4dIMDuy+oDzvaHOfiQoJ1g3r5+M62xkVHeITP1tfGMNEGlUwpdfrg4BZgFWv168EIoGH9Hr9+4WFhdsHOrapqXOgl0ctPj6curp+J9T8jlyvf/PW9VqtVtpbDdTV2t87QKcet3HEJ4URGBRAU30HxYW1tLbYZ6Yc73fVmhlsf+801RWtPWPRTPjPZNnV2XzZU2W9qcGZHF9Z0UxIhM7jMVVlfW+Bf+v1Q6hU8MgTVwLy++zv4uPDaax3/r60tHQxc14ip4567ijQ1NQx5J9P7ztKrdi8/rP113/fgQLEEQVTer0+FAgpLCysA+522f4I8LIkoAvhH47uK2PfTvtsTEiYzuOdemNFpVKRnB7FucJ6/vLHfQDK8h5AXK/+fb0T2SfC7AUpHNtfRlurvf+gWqPCarHR2e45x6Wz3dBv/ssIezGLi5DNanMrahsbH0p4ZFC/wZSnvKr+lJ5rdHuuk2Vlrxj0L2PPXXobgES9Xv+kXq8PBu4Hfuqyj1av1z+JfWbqG3q9fuByx0KIi0Kly6zKlKS+RSzHWu/3cPTdA9C55IKsf3ABuXMSx308nqhd+pwtusLeTLl37Sqw57E4AlGHkDAdAVop7zfZ7Np+lq5Oe4L5tetmMndR6oDNh81DDKZMJgu7PjmrPA8N0w1YtkSMn0FnpgoLC3cCO3ttfr7XPibs5RN+NnZDE0J4m+s3ZE+J52MtpFexT9cGraFhOtKzYwkLDyS21yzVRHLNgcqcHs/ez8/R3WXiD0/t4OHvL0etVlFX08Z7bxzvc6zZZMFssrqdS5rQ+r/dnxUpj7NyEwD7HaK3bLiE4BAdjXXtfPT2SRYsy+DglxeGnID+/hvHlMdLr85mjgRSXiNp/0IIj4pO11Jd7pyZSh3gm/RYiXC5E3B5r2KaKpWKG2+bPe5jGIyjpc6MuYlERrsXR3zp/3YBEBrunj916dJ0Du0u4cobcvnk3ZPKdrPJIsGUn2tu7MRktJf0uP2BBW6vTU2OBCAyOphv/PAKTEYLB7+8QMHxKi5bmdVviYPODiMfvpXv1kR89qXJ43QFYijkv2IhRB9Gg5lPt55S6ictvyanz6zReIh0qdw8y0c/HNQa+wfc9FlTAPuMQG+9787KyI7lWz+6kqzceLdWN44PWeG//vbH/YC9gKyjvIYnGo1a6UVpNFgoO9/Y7757d5xzC6RuvW/+iCqmi7EjwZQQws3290/z/t+dS1TBodoJC2yCgrVk6uO48vqhl1mZaKtuymXuohQSU+yzCjkzEwY9xrX21j2PLFGem0wSTF3MDnx5gWP7y4a0b1Ja1JD2mzXf/t9aW0u3x9dNRguF+dVu2xISxz+fUQxMgikhhOL82XrOnKihptJZpHO868G5UqlUXHfLLK64ZvrgO3tJzswpXL4qW5kJGMrPxzHjAPbAypF/NtSZqaP7Stn616M0N45vSRkxPAe/vMBXnxUrVfsHEpvguTNAbwlJ9tvvXRPLrVab8h5ffHzGbf95i1MR3ifBlBBCcfJwhbeHcNEZrFzEzHmJfZZgHNWwjYbBE43NZgt7Pj9HZWkzBcc930ovvMtxp95AhvqlxDHjCfY+kE0NHWx8eifvvH4EgDMna9z2v2RJ2jBGKsaLBFNCCADyD5VTdr6pz/b+lhuEnVqt4tp1nqvBzFmQwpIrM/tsDw6xz1S998bxQWenXO+oNBpkWdBXuN7V6Vo4s7qihQ+25NPZYXQLlns3CO9PRFSwUl/t7Mka3njR3vy4prLVYzV9rVbqSvkCCaaEELS3dvPlp0WD7yg8ctzuDvaZqqzceB747lKWXp1NYJC2z/7J6c78mZf+b1e/RRqtVhtnT9Uqz82SY+UzaqucCeCO5t+1Va288/oRSooaOH6g3G1ZNtOlAO1g4qfal/q2v1/gtr2+pr3PvuNZSFcMnfwrCCH6VFG+4rrp5M6e6qXRXJyCgu1Ld/pZU7h2XZ5bnlRv0bHu+TMVZc0e99v7ebFb7ozJNPTK2GJ8VVc4y4a0NXdRXdHCW68eVrZptWp2fFgIwHXr8oaVe9hfHbUvP7X/LkzPmzKSIYtxJMGUEIIul5YnV62ZQd4lSSy71l7nKSIqqL/DhIvAnuCpu2toBRdvWj8HbU/rj/bWvkup3V0mjh0od9tmNsvMlK9wXcJrbe6mstQ9ILbaoKHW3o8vNHR4ZUV61ylzcNQ4C9CqWX3HHNbcOXdY5xXjR4IpIQSmnmWmhcsylFv9tVoNGx5dwvqHFnpzaBeNoJ7lPEP34MnIAGmZMVx5g70ERHuboc/rnhokm6Uulc9obXLmSbU2d/VZbjObLAT0bJs5d3itj0JCncHUt350Jd/89xUASp9HXWAAqdNiBmxJIyaWBFNCCCw9y0fp2bFud56FRQRJgusQLboiAxje3VWOD01PM1NdnfYPTkdxUBh6zzYxOJvNxvb3T3P8YPngO3s4tuh0HWDvt9jW0t3n5gCzyUJoeCAhoTq3fo5D0XuJuHcl9PAImS32NRJMCTHJWa1W5QNFkllHLiUjhkeeWEHqtJghHxMS1hNMeZiZctwCn5Ubz7d+dCVBwQFS5HMMnT5exZkTNez+ZxF/eGrHoDW8jh8o58jeUgA6XP69IiKDaG8zYOhyn5E0m6wYuk1uDbqHSqVSMfvSZBavmObx9bDI8e9GIIZH/nIKMcl98Ga+8nigpGkxuOG29AjtadHTWN/htr22qlVZ5ouODQEgQKuRZb4x0t1lYueH7sUvd/Yki3titVrZvb2IvTvOAc66UrlzphIcqsNmg4peOVMF+dV0d5kJCRnZf1PLrslh/mXpfbYHBQe41aISvkEaHQsxyTlqS2kC1G65GmL8aXUaYuJDqSpvwWq1olbbv9+29OTj5OQlEBntDKa6u4aWjyX6ZzKa+cffjvbZbnUpYl5V1kx4ZBCh4YGoVCoa65zBrtVqU/4dIqKCaemZ0XLsowsMcEtOz5s/Nq2Ybr5rLpWlzSxYliF9+HyQzEwJIQC45uYZ3h7CpJSQGI7JaKG5wZnQbO7JYUvJcC4ZBgSopc7UCJjNFreimru3Fyt32bnqbLcv3bU0dfLuX47y+u/38sUnZ7FarW71nWoqWjhzwr4EGxSsdVuijY4L4YHvLnU7b/aMwXs3DkVyejQLl0+TQMpHSTAlxCTmmieSkRPnxZFMXhFRwQC0uSShO4p4BrjksKlUKswmK3XVbYih+/yDQv7ywj7l59bdq/XLZSvtFepbm7uxWKzUVTsDp1NHKtny50N8/oFzCfDdvxyl9Ly9Llv81DAWLstQXsuZOQW1WsWKG+y9JaUe1OQhy3xCTEIF+dXExofyybsnlW3yjdc7wsLteVM1la2kZ8UCzrv2NG7BlP3/z56qVSpki8EV9VSQL7/QRPzUcNrbnEFrWEQgU13yj17//R6mz3QPgBrq+s5idXeaiI0PJSExAoClV2dzdF8pM+fZSyDMnJtE/JRwomKCx/x6hG+SYEqISaa7y8Tn2woG31FMiNCeYOrQ7hLSs2KZkhSBpac4p+vM1NKrsnln0xGsHvqzif45cpjaWrppbzNQV91O6rRoblo/R/kCoQlQYzFb6eqwF0pVqcBmG/i8gS43a8xZkMKcBSlur0vAO7nIMp8Qk4xrcqzwvmCXu70K86sB58yUazAV2HOLvadmt6J/4T1lBE4drWTrX44AEBkd4jYTu3r9HLdjouNC3ZboZs5LJCs3HtfJ28ARlDwQ/kt+G4SYZAzd7sGUWq1i/YMLvDQaEemyFHTySCVXXDfd4zKf43F/TZGFZ2ERQTTUdmCzORsSnyusY3lPuySApLQorlk7k0+3ngIgNiGUq9bM4Mob9ZiMFqVkSFenkVd++xWAlCcQbmRmSohJpvfMVPaMBKLjQvvZW4y3gAANP/zpdQBERtsDK2cCurP6vBJMWQZZfxJuAjwUok1I6rsE5yigCs4K4xqN2q32WnCIjksuSyNTH4deGoELFzIzJcQk0zuYSs+O9dJIhIPjA9tR50tZ5tO6zExp/HNmqqvTyIdbTnDp0nQlAX8sFRfUuT2fNT+Zy1dl9dlvSk8yOaA0oPZkyYrMsRuc8BsyMyXEJFNR4l6pOT1r6O1PxPhQqVRodRqlXYwjAd3TMp/5Is2ZKr/QxFuvHlJaskBPK6MD5dRUtvLBm/n84akdNDUM3NZlNK6+eQbLr83x2DZJE6AmdZq9cXBsfNi4jUH4J5mZEmISsdlsFBfWEaBVc8dDC9HqNGh18mfAF2i1zmDKUbTTdYnKMTNVdq4Rm8120ZWyOH2sitqqNmqr2ig6XasUwtRo3K9j50eFrLvnkjF5T9dehrHxoYPOfK1aPYO66rZxmSET/k1mpoSYRLq7THS2G0nNiCEiKpjgEGkf4ysCtGpaGrsoLqjzmICuVjuDDrOHpb5TxyrZ+tejdLT3bZrsC4pO1yqPXSuK984B6/DQ9HmkXJsP33r/pegCB/7iEBKqk0BKjIgEU0JMIo47+YJG2HxVjB+t1p6n88m7J5W8KMdsVG+NHgpJHtpdQmVpM0f2lHo4wruqypoH36nHWPYf7HKpdt7fz1KIsSC/XUJMAjabjY52AycOVQAM+g1dTDzXWSiz2UpAgLrfpby3XzvcZ5tjtsrkg/37yi80DXlfo8FCS9PY5E053te1DIIQ40GCKSEmgROHKnjtuT3k9wRTUkXb9yy9Olt5bDZbPCZJ96emslXpOeeLzZCbm+yNhvMuSVK2OXriefLXjfuHdF6LxYptgFLlpcUNAOTMHJtmw0L0R4IpISaByrIW9w0XV+7ypDA1OZLwyCBCw3VYemamhuLY/jK3mSqT0fcCZUfu0mUuJQmiYkK4+a65rFqdq2xbfo19Bik8InDQczbUtfPH//2CU0cr+92nrdVAaJiOwCBZ1hbjS4IpISaB3rMV8xalemkkYiCaADUWiw2L2epxZmr1Hfa2J0HB9mXaxroOvvqs2G0fX1zm6+4yERCgVvLCAFBBcno0+lnO4pd585PQBKjd+t715+zJGgC++Pisx9dtNhsdbQbCegpwCjGeJHFCiEnAEUzFJYSx9p55kjPlozQaFVaLFZtV5TGgSJ0WQ2R0sBIwGbr7JmsPd5mvtbmL8MigcSu10FjXQV11e5/tYeHOIOeOhxaiUtvrbQUEqKmvaaeqvMWtZcvxA+VYLFbSsmI4c6KG6nL7bKtrYVNXez4/h9Vqc6tsLsR4kb+oQkwCJpN92eh26cHn0zQaNUaDPRhytJbpTa1WYe0pJ2C19s0XGs7M1KGvStj/xXmuvEFPSkY04ZFjO4vT3WXi7y8fcNt258ML6eowETfFWRgzJt7ZzighMZyy802cPFzhFkzt3l4EwN4d59zOFxKqo+x8I12dJqU5cXeXiWP7ywDc2sEIMV5kmU+IScBstvT7DV74DrVLAcuomBDP+6hVWK32vKgvPj7j9lpwqFYp+DkUxw+UA7Djw0I2/WEvljG+McG1zMGMuYkARMeFMndB/8vMi66YBsD5s/U0NXTQ2W7g7Kmafvdvbe7m/b8fZ/t7p5VkdNeWSRJMiYkgM1NC+LGS4gaCQ+wfsAHa/vuNCd+gVjsD3pSe1iZ99tGolBmp5sYuZftVa2Zw6KuSYdVp6n0nXHtrN5HRnoO4kXA9/fRZU4Z0jGMJ2myy8saLB0hMiaSqvGWQo+yMBguBQQFKPTXoW2FdiPEgwZQQfqq7y8QHb+YDEByiJTBI/nP3da5pS/FTwj3uo1arlWW+WfOTOXG4gjV3ziUlI5rjB8pobx18me/DLfmg6rtM2NI0tsGUo8cgQFJq1JCOCe2V4zTUQArsTZMDgwKoKHHWtVJLsU4xAeSvqxB+pqS4gbbmbnZ96rzLyWy2EiozUz7PdSYnItpz/pJ9mc+GzWZTluVCw+2lBNpbDZhNVswmS78zkQd2nedCkb3+Uu+l38+3FbDhX5e4zZCNhqMkR/aM+CEf01+vyNTMGOZflgY2OLqvjOi4EDraDZw96WxT84+/HuXeR5dwcHcJALlzpjJnQfIorkCIoZGQXQg/cuZENR+8me8WSAEDfrgK32FzmSkKCPD87+XIqzp5uJLzZ+tRa1SEhNpncxztU04cdtZestls1FW3KYGXI9AAlLY1Dp0dRjY+/QWtzV2Mhd3/tCeNx8SHDbKnu94FPSOjg1m9fg5JqVEkpUVx4+2zuWxlFrmz7WUVHDW5OtqNWMxWTEYLqZkxrLwxVxp5iwkhwZQQfsJitrL9/QKPr9ls7ndMCd/U0lMpPC0zpt99HEtzuz49S3enCf2sqcoS7rzF9sTu5kZnO5YLZ+vZ8sohdn3Stx5Tf8XDv/jkLId2X6BzFE2THUny4N5weCjmLExVamoB7vWpXKRkxLDh0SU8/IPlJKXa7/wz9STgD7XoqRBjQX7bhPATtdVtA74eP2V4swNi4mXkxAIwd4CiqlW9qtnHugTJi1dMQ61WuTVCrqlsBeyzloDH8gfJ6e75TGXnGtm/60K/wflQOEo8AMyYlzTAnn2p1SoSEp05YwG6/mdVwyLsNbI6e2bldn5UCEjiuZhYEkwJ4QeqK1o4tq+sz/aHf7BceZyVK/3JfN1lK7O44+GFpGR4vpPPE41L3pNarSYkTEdHu4ELZ+s5vKdEyX+y9CSt9y5/kJoZw813zfN4btcZruFyzKBl5cYTHTv8pHaNS+K4doBgysFRl+vCWXs+2FjlfQkxFPLbJoQfeOf1I5w/W99nu1arYd7iVJZfmyN3810EdIEBxMQNbzlW3atyuVanoaPNwIdvnWDfzvNYXdbyLGZrn9IJZecaAVhyZSbRce5Bz2iqojvyv1TqkZ3DtZ3OUJbsrl4zw+25WmamxASSYEoIP9O7cvZlK7OYNV/uaJostFqNey6Uy5PXfr9HKavQ2yVL0rjz4UWkZ8Uq20bTYcYxM9U72Bsq10Curbl70P17t0hyXWYUYrxJMCWED+hoN/Dlp2cpKW4Y9rG9j5HE28klIso9eO5912ZLkzMQ6e7JK0pIClfysm7ZcInb/m2tzv1HNTNlG93MFMDVN9tnmy65LG1I+7smrTfW9e0HKMR4kXl/IXxAwfFq8g9VkH+ogkeeWDGsDzFHYU6HlIxoGuo6WLgsY4xHKXxJ9swEktPspQJc9a4dda6wTnnsqFF1xbXTiU0IY/5laX3arfQulzBSyszUKIKpnJlTyJk5tMrpYG8EHZsQSkNtR58gU4jxJF9hhfABXR1G5bGjX9pQdLoc5xCbEMb9j13OpUvTx2RswresvXse0/OmsOqmXGZ6uEuuv/pUDlOSIoifGo5arfLYt27F9dOVx0aDGfMwGie7Gm3O1EitvfsSZl+azKrVuRP6vmJyk5kpISaQsvTRa+bJNSn4XGEdusAAcudMHXCG6szJGvZ8Xqw8z8lLoL66nYycWAKDpLmrv0ryMBvlSjtAQ2ur1UZ4ZOCg53fo6jTx4jO7mH1pMsuuyRnWOEebMzVSgUEBwx6rEKMlwZQQY6CxroOaylamz5ridkt3b+9uOkJ1RSvzL09j1iXJBAYFYAPOnnK2xKiuaKW6ohVNgJrpeZ6XOCpKmtj+3mm3bSuu1/db3FBMHoNVup8xN3HA11UqFfd+awmb/rBX2ZZ/qGLkwdQEz0wJ4Q0STAkxCjabjQ+25FNabL+9vKKkiatvntnv/tUV9gKKh78q5fBXpUzPm9Lvh1tTQ4fH7QCtLnc3xSaEcvsDC0aVLCz8h2swFRQcQHeX2e315PTBa1h5Kuw5HCaTRQmmVJJMIiYBCaaEGIXSc41KIAXQ2tKNzWajq9Ok9EtzMHnIPTlzsobubvsS36IrplF6roHqcnvAZegyU1LcQGR0MPHx4W7HGbqdy4IajVoCKaGwuhTl1Go1fYKp8f5daW8z8Prze5Tnp49Vc/mq7HF9TyG8Tb4zCDEK+7847/a8pqKVN/90kFd/9xWl55xBltlk4aVndnk8hyMYy8qNJzHFma9y8kglH7yZz9/+uL9PJWpHQ1vAYxKymLwcd7HNvjR5dIWiBmExWzlxuILC/GpMRmfA1trk3iQ5LkF6Qgr/J8GUEKPgCGoc9XAAGnr6ojl6oYG9Ka3D7EuT2fCvl7mdR6vTEBkdzKVL05mzMKXP+/z259uVJrgA7S61gDL1caO8CuFP8uYnccOts7j8qmxCwuyzowlJ9pnN0dzh6Vph32az8cdffcGuT87y2bYCPv+gUHnNaHSfCVt4xbQRv6cQF4shBVN6vX6qXq9/Sa/XH+jn9fv1ev0Ler3+h3q9/m96vf7ysR2mEL7JYrESFRvisRZORFQwNpuN6ooWCo47A6t5i1MJCw90K5YYHmlv1qrValh6Vbby4efqrxv3Afbb1YtO22sH3Xb/pXLnnnCj0ajJyIlDrVZx9ZoZZOXGc+Nts3nwe0tZtHzogc206e5BuussbFuLe0Vy15lTR+XxrNx4MvVxbg2LhfBXQ52ZWgZsBfqbM04GvldYWPi/wLPAxjEYmxA+z2qx9tud3mKxcvJIJe+8fkTZlqmPJzTcfmv61ORIrrxBT2R0cJ92L5cstld8zsqN73NO17us4qfKB5XoX0RUMNeuyyM4RDfsoFvTq5J+Z7uzppmh2332KSLSvrTY1WlU7jLNyZvCdbfMGrTulRD+YEgJ6IWFhVv0ev2VA7z+c5enakDq+Au/Z7VaMRosNNXbv5WvuimXU8eqiIgM4szJGsrON9JQ635H3nW35Lk9nzE30ePdfNOmx7HmzrlMTYmguMBZwbq5obPPB5kQ42F63hSKTtUSoFUTHKJT7s4D95w9AHNP0rvr7FVY+MD1rITwJ2N6N59er1cB3wW+P9i+0dEh4/6NpfcdUP5OrndiFfbkRFmtNuLjw4lfFc6yVTk01LVz5mRNn0AKhjfmhIQIALJnJFB02l6Hymp2fqClZ8V6/Wcwnvz52jzxteuNjw8nb04SwSE6fvOzf9LW0k1Hi4GM7DjKem6amL8kjcN7S1GrVMTHh6PTOT9S0qfFEhrWf0Dla9c73uR6/duYBVM9gdT/Aq8UFhbuGWz/pqbOwXYZlfj4cOrq2sb1PXyJXO/Ea252/g67jsU1Odzh8lVZZOrjRzTmVTflotMFcOpYJbu22xPZo2JDWHp1ltd/BuPFF/59J5IvX297h0GZifrnttOsvXseNVX28h1J6VEcPVBGV5eRuro2zC59/To6DXR29W13BL59veNBrtc/DBQgjvhuPr1eH6rX6+N7HmuA3wDvFRYWfqTX628d6XmFuFgYDfbltiUrM922h/Za3pi3OJW5i1JHXAhRE6BWWoDU9BT9nH9ZGpHRISM6nxDDdeNtswBnVfPOTnuQFBKqIyBArTRH7u4JniJjgqX2mZhUhjQzpdfrVwAbgES9Xv8k8AxwPzAbeAT7jNQ6YI5erwfIAt4ah/EK4RNsNptyO3j8lDC311QqFQFaNWaT/QNm8YrR3xruunwCEBMntXvExElMjSIsIlCZdW1ptJfpCA7VodHYgyn7naut6AI13PX1Rd4crhATbqgJ6DuBnb02P+/y+vcZQp6UEP6iqqxFeTwlKaLP63d9YzGvP7+H6XlTUKtHX87NNek8dVq03MUnJpxWp6Grw0hxQR3lF5oACArWoglQ09zYxT//cZr2VgPpWbEyKyUmHWknI8QI2GzORHCtru9/RmHhgTz8/eV9bi8fKdeA7ao1MwbYU4jxERCgwWyyVz0H0M+aglqtor3VAKDcJJE3Xyryi8lHgikhhqi7y0RrcxcJiRFKn71FA1R31urG7m7VuQtSCAoNIG6KzEgJ7wjQqjGbrTTW2SvfLFmZ5XG/0DCdx+1C+DNpJyPEEL276QhvvXqYmspWPtxyAoDAoIn5PqLWqCWQEl4VoLV/OXA0Tg4Ktv/uL782x20/jRTpFJOQBFNCDFFTg70UgmM5A+ytO4SYDAJclqyzZyYouYC5s6f2u58Qk4X81gsxTMcPlCuPDd2mAfYUwn9otc4ZJ9cAqndeYFCI9IoUk4/kTAkxChFRwd4eghATIkDrDJpca6apVCquuG46IaE6UjKi3IIuISYLCaaEGIIzJ2v6bMuemcC06XFeGI0QE8+1/VdIqHuSed4lcgefmNwkmBJiCLa/d9rteVJaFNfcPNNLoxFi4oW43KU3lneqCuEPJGdKiCEIDXd+kKRkRHPtOgmkxOTiuqQtRTmFcCczU0IMQfyUcDraGli1Ohf9rKmDHyCEn4mIGllvSSEmA5mZEmIQhm4TF4oaAJiWIzlSYnJyzExFx0mDbSF6k5kpIQZx6liV8nis2sMIcbEJDArgnkcWExgkpQ+E6E2CKSEGUVfVpjxWqyVXRExeUgpECM/ka7aYNOpr2tn1yVml0KbVaqW1uYv8Q+WYe3rteVJd3gLAkiszJfFWCCFEHzIzJSaNT949SUtTF22t3VyzdiYvPbPL+aINZi9I8XicwWAmbkoYlyxJm6CRCiGEuJjIzJSYFAzdJlqaugDo6jDS3tLt9nprc7enw7DZbJhNVqXJqxBCCNGbBFNiUqirduY9mYwWqita+33dlcViBexBlRBCCOGJBFNiUqipdAZLXV0migtqAVi4LIPgEC3trZ5npsrON9mP7xV8CSGEEA4STIlJob7GHkyFRwTS3Wmi/EIToeGBLFiWQXRcKG2tBjKcwjYAACAASURBVGqr3AOm7i4TNqt9RiolI3rCxyyEEOLiIAnoYlK4cNZedDMmPoy2VgM2G+TMTABg9qXJVJY2U1rcSEJiBABV5S28u+mIcnzWjPiJH7QQQoiLgsxMCb9XW9WKtWeGyWQ0K9sb6zsAiI61V3TuaDcor5Wea3A7R3CIDiGEEMITmZkSfq+4oA6A7BnxJKVFUVlmrxsVGGT/9Q8NDwTg1NEqjEYLhi4Tyenuy3rJaVETOGIhhBAXEwmmhN8rO9dIQICalTfmEqDVkJQWzVfbi7hsZRYAukDnfwZFp+yJ6VExzv5j8xanuu0jhBBCuJJlPuGXWpu72L29CEO3ifY2A+FRQUqtqOjYEG5aP4fQsEBl/8Urprkdn3+oAoA7v75QCbqEEEIIT+TrtvA77a3dfPz2Sepr26koacLQbcbQbR7wmClJER63Sy8yIYQQg5FgSviV1uYu/vG3Y7T1VDhvqO0Y0nGR0X2DptiEUDQambwVQggxMAmmhN8oKWrggy35Hl9LGiSB3JGM7kpmpYQQQgyFfO0WfqOop6q5J6vXzxnwWNfeexFRQYB7EroQQgjRHwmmhN8wGS39vqYJGPhXXaVSkTc/idAwHWvvnsfchSnMXZQy1kMUQgjhh2SZT/gFm83G+TP1ozrH8mtyWH5NDiqVisuvyh6jkQkhhPB3EkyJi97xA+V0dhiV57lzplJwvHrY51GpVGM5LCGEEJOEBFPiord7e5HyOGdmAiuun05sfBgJSeG88/oRaVIshBBiXEkwJfxKcIgOtVrNnIX2fKe7vrGI8IggL4/Kf51vKcVkNTI9WpZFhRCTlySgi4taR5vB7Xl4lHvgFBUTMmjyuRi+VmMbXeYufnXoOX5z5I/eHo4QQniVzEz5qO4uEwFaNQEBmsF3nqTaWrrZ9Ie9yvOomGBmX5rsxRFNHv/x5U/dnlttVtQq3wharTYrKlSSAyeEmDC+8ddPuDEazPz5N7t5/+/HvT0Un7brkzPK48TUSG7ZMF8+QMdZcfMF/vWzf++z/XCtb/yu1nbW853Pf8RnZbu8PRQhxCQiwZQPOnagHICqshYvj8S3WSw25fHlq7IICtZ6cTSTwx/zX/W4/c8n/0pZW+UEj8ap09TF4drjbC3+AIC3i94HoN3YwfG6k7QY2rw2NiGE/5NlPh9jNJg5+OUFbw/jomCzOYOp+KnhXhzJ5NBp6qTd5Ox1OC0inTWZ1/Hbo/acqV8e+A3fmfd19DETn4z+q0PPUdNZ57atsr2arcUfcqLhNADPrfylzFwKIcaFBFM+xmRyr+JtsVil2a4HVotVaWKckBguH5LjpLqjhrK2SjYVvInZagYgOCCYJxY8RnxILABp4cmUtlVgw8Zvj/6RHy96nOSwxAkdY+9ACuDn+//P7fmhmqMsmHrJRA1LCDGJyKe0j7GYrW7P/7Zxn5dG4puqK1poaeqitqaN7i4TGdmxrL17nreH5bd+uu8ZXjn1NyWQAliZukwJpAC+e8k33Y7pcJm9mgjnWkrcnt+p/5rHZPhOc7fy2GazYbaa6TYb2F99mKLm824znUIIMRwyM+VjzL2CqbZWQz97Th7trd0c3F1Ce2s3ZeebAAiLCAQgNiHMrUmxGH8Wq/vsaVBAEPfm3s6mgjcBMFpMyms1nXV0mbvIiEgbt/E48qHu1N/C0qTFqFVqZsXmolFrqO6oobStgneKtrkFeZ+Xf8l7xR+RFpFCUfN5AK5PX8WarOvHbZxCCP8lwZQPaW3u4u8vHfD4WmF+NWdP13LDrbMm3bLfh2+doL6m3W1be0+QqdVJIDXRooMi+2y7LGkhBquRN89s5Q/H/8z8hDkkhyXy3rmPAXh+1dPjMpYWQxvvn7e/R2ZkhjIjFR0UBUCELpxQbSjvsI33z3/CVWkr0Gm0vFO0DavNqgRSAB+VfEawNpgT9ae5LedmUsKTxmXM4Mw/SwiJH7f3EEJMHAmmfITRYGb7+6eV57pADUaDfQbAbLLw2bYCwF6kMiIq2Ctj9JaWpq5+X5Ngavy4Lnt9a84D6GNyOFl/mjnxeR73TwiOUx4frj3uVi7BYrWgUQ//3+p8Swkv5r9GdlQmG2asR6tx3rH5Rfke/n7mHeV5VGDfIA9gakiC8vjxnf/Jjxc9Tpg2lFajfUYrMXQKBouRxu4m3inaBsDBmqPjGkz976HnqO2s5+nlPyFUGzJu7yOEmBiTa4rDh32y9RTV5a3K81nzncUnq8qdJRIsFvdlQH934nAFJqOl39d1EkyNG4vN/nNPDU9mVtwMtOoA5iXM7rc454yY6eRG53h8rcvS7XH7YI7WnaDF2Mah2mOUtlW4veYaSN2Wc3O/QYlGreHRuQ8qz399+A9KIAX2HKt/mXGH2zGflu7gfK9crJGy2qyUtJbRbe7mXz/7d3667xlqO+sBaOhqHJP3EEJ4lwRTPqLsnPsfVV1QADPn2e+IKi12vmYwmfA3RadrObT7Qp87Geuq29j1yVm3bVfeoMf1xj2tTiZXx0u3xb6UGh0YNaT9VSoV3573MD9e9LiyLTXc/qVg0+nNIxuDS9J4u8m51NvY3US4LgyAyxMXsiLl8gHPkxeby9PLf0KgRkdXzzkfzLuH31z5C7KjppEdNY0rU5YyM1avHPNG4Tv9na5fh2uP89qpv9Nh6lRm9j4t2cHTB3/HD774/wD73YcOe6sPDvs9hBC+R4IpHxWgURPYU4Ty+MFyZfuuUnv7lMr2aowWo1fGNpZsNhufbj3F/l0X2Pt5sdtrnuptzZibyNxFqcpzWeYbGx+c/5SPLmx329ZhtCdsh2lDh3welUpFclgi/33Zj/j50v9kw4z1AOTXn+bF/NeHPS5HQAfwx/zX/n/2zjMwjupqw89s31XvXbYsWXLvBfdCMTYG02tCIIADMZ0ESIAAoQRCCy3w0bsppjiu4N57t2yr2eq9b+/fj1nt7GpXsmwL24DeX1Pu3J2ZnZl77jnveQ/NVtFL+9jmf6G3GVDLVdzQ/6oulbIJUeq4eeD13vUR8UNQyBTe874qew7zht7Ca1P/BUC5oZL71z3KD4VLmbf6QRbk/6/T/l1uF+8f/Ixt1bt4cMMTPLThSQw2I0caCwLaJjTYGVhoZl35Zv659YUAUn8PetCDXxZ6jKmzBCm92s3+BdBoAr0uNflmqo21PLP9ZT4+9GW3n0er0cae/DoaW08uLHOi8A3hNTdK3Cin0xWgaD7zikEAqH3ui1bXo3p+qmi16VlybAWLjv7oNVYA9tcfAiBeF9vRoR0iVhtNpDrCT29qb90BmizNXe6jxdpKUXOx37bnd7zGtwWLvOsDY/qd0HkNjh3A7UNu4m+j7+1Qm0wukzM5ZRwAVqeNFaVrATEDsNZHz8rldvFl3vc8s+1lbE47Vqd/5q3RYWJj5Vbym/0nCQDX/tjEedv1hBmc1JjqKGg4FtDGF9byMuyNPSHBHpxZuKzWHgmRDtBjTJ0lMOqtqNRyJs/oi0IhIy4xjIioQKK5vDyK/KZCBKeMvbUHu/087n19I69/d4C3FnZ/38FgMkreNY2PYbRxRQFHDlQDcOVNI7nj4an07isO6iqf0F6bREIPTh75TdJg32Rpod7ciNvt5lCjWPtwQvLYU+r/sqyLvMsVhqouH7eufDNN1mZyoiRF9Vab3q/u3smc2+DYAccll1+VPYfJKYGhQ997lddUyIaKLVQaq6kx1VLcUhbQvi2bsQ2zMs73W0+yaehTZqVWHyg62ga3w0HpM//k2IP3YzpyuMN2PejBzwnT4UMUzvsTTcuWnOlTOSvRY0x1E1wWC1Xvv4Otuhr97l3Ym0Q9JJfNhqX4OLNOi4PmRjNxiWEMHJ7CLfdPJDElgvikcKmRIM0GVq7bR//d55NQnhOkt+5BWa3h+I26Abs2SSRfX8HSQ3ulQTcq1p9YrFCKj21YhAa1psczdarw9ba8uOsNHt/yHCtL19FqbSVEoUOnPLXs0fPSp3BtzmUAmBxmjraU0GRpxuKwcLD+MHWmhqDHNXq8WDf0u5KXJv8zYP+fBv+BftHBCe+nCpkg45qcS7l/xJ9J0MUxJ3MmAPPzvpPOz9zkXW4wN/LRofmd9hmmCmVm6hTG7ZPerZnLK7h4Qwumxas7PM5lseD2cCUNe/ec1PX0oAenArfLRflLorxJ/XcLcLt+W4lQXUEPe7eb0LJ+Hfotm9Fv2QxAyOAhpNxzP1XvvIVx7x7if38TkVOmBj22tVkMb0XHitwUmUw0FkLC1CB3g1MgfHYD9T/qUNl0JJX1ByCuKhO3291tpVSsPiE3ZTstK4fTxcqd5UwckkRoNxUUrq/Rk58rkXFdPpmKggBt3mSFwp8XldU/HrlMRlpmdLecx28delugYvmGii2YHBYi1eFBjjhxaOUagKCh6RhNNP8c/3DA9lJ9GSq5igh1OAqZgmuyL+Wr/B+QC3KeGv83Irrp3DpDZmRv/nHOXzHYjSwsWgaI4ccIdTh6H0J8cWuZX93C9rh72FwyItKp//obxuSaAvYL+R1nDjqtUvjQZuop2NyD0wunXk/RfXf5bdPv2E742HPO0BmdnegxproJ8tBQv3Xjgf24HQ6Mnplk7acfBRhTB3dV0FBvpJfHKFCp/f8Ok91M/uAluGQCjhqBDNU5qGz+Xppma4tXoPBU0WKSQm72dkrsb3x3gP1FDeQWN/LANd1TvmXx16IOkVwu4HS6KfHJWkxKi6SytJmLrh4ccJxCKWf8tCzq6noGlu6Ar1HQhgaL6HXpFZbaLb+h7cS71WBpxOFyYHc52FC+hYVHl3n3qeQqL0l8cup4Bsb0I1IdcVKaVaeCUGUI45PGsLlqO3/f9DRPnPMQept039p4VQDX97uCCcljeWrbS97MvazIDOQyOday0qD9t8o7ztI16yUPWE1DOd3zj/SgB11D06qfArY5mpuCtPxto0vGVE5OTiLwNDA0Ly9vdJD9MuBZwAD0At7Py8vb2p0nerZDUATeSktJsd+62+HwtnO73WxYIWb5HNpTCQRmpu2s3s0dC+ppCpMz/8Io1A4T4O+N2V6yj1RHH6ZOHXDK19Csl2bAdofLz+u1v0gMxZRUH9+AKTvWiEarJC4xrNN2ZqM4gISEqWltFgnvqxYd9vNWJad1j6HYAwkut4vndrzKyPihRGki2eMR17xjyM28tf9DABSCHIfbSbi68/+wq9AqNJ3u31d3kA9yvwjYPiFpjN96jPbMeSNn9J7O5qrtADy9/SWGxgYXL23jceVEZVJtrGFi8lgEhxO3HMz5ed52Mo2G9MeeJO/pR4moNlC+4AtUToHoC2ehiIhg347l1K/6kbRCaeByWzoWsO1BD34OKCKivMuxv7+R+k8/wanvmci2R1c5UxOBhUBH8aSrgfC8vLyngYeAT3Jycs5ozrrT6eTrlz5nwSuf/yz9NyxaSMNiKVXa7XQEtCn719N+6y4fjSiHPTDm3D5ct2yPyM+I0juZsstAal1gnb78RVbWLyqi4EhNwL4TgdvtZtEmidvlBpwuMc7mDBIfNxltVNUE51Ut/mo/Cz7a5e03WPaH7zZfI9LXkAoLV/fU3fsZ8F3BYioMVfzv6HK/sNug2P48fs5fkXsMKYAIVeehtOY1q2hcuvi4vxnu088VWbO9y1NSJwAENaQArsy+5Lh9ny7EaqO9Ug8Ol4NdtfsAAgQ/23BZ1mxuG3wjM+vjKPzzXIrumee3XzdgIKqEBGxZqYRYXJiW/0Tzih85+sA9FB7cjPb/vvQzpAAE669PZ64HZzeabaKY9PLx4bxRK2bSNi1fitPcY9j7okvGVF5e3gKgM1P0ImCLp20jYAGCT9tOE0qKjtFgT6HOmnL8xicIl8tFw8LvafhBIqNWt1Ye/0CHZHBZrYHGV2KKNOC43W4u3CSlqQ88asHtY8tqHaIho3CoAJj/7naslsA+u4LyOgMfLTtCbnETvRLCGNhbnIm0hfp8uVR9UyNYuyyPj1/fzA8f7mTrfpEo3qS38sCbm9hTIJGZTWYbb7+8gbefX0fhkVq/3/Q914TkcLIGxNMe1809tSyyHvhjddkG5q1+kDXlGztsE6+LY1raRO96R56p1m1bqfvmK2o//5T67xYc97fbDJFpqROZkjqB16c9xytTnmZM4vAOj2kzXM4mnJM0ilhtjN823/I64308aUqZgmFxg9BvEu+3yyLJjUTPmk3iLXPFdimBgTtDhX84cPOQEMxqAVmPMdWD0wC3w4Gttha3202pR7bDLheoj5AiMHVffNZDRPdBd3Gm4vE3tlo92zpEVJQugFjcnVBpVYCYRhwVqUGhPDnS9IaVBdRUtnLF70YgyERjZtEDd3iDbXFx4mCzx6EnBFgxNozsEgu9qqWPXmGqiqxyG9GRWlTRYnt9sX9pDIA+feMICRVT/W1OO0kN/saRxiESXCPCnGQdXseu1Iv89u/ZUsrFVw89oetrarXwj/e3e9dH9k+gpskENBEeoSMyTE2dT2286oJ6FD42+J6leZw/PoNPP9uNWW/lzW8PMNKzf/78feDxwK344RDjXsr0HlfnEy48f/YANq8J1OJJTApea60Nbff+t4JTud6jjSV++kzt8fS5fyUuVuz/HOdQVpauA2BU74HERUu/67Lbadiylep33/Y7PiZSg+w479jFcdMCtqUQAx4R8DhdNM+c/xDri7dxUfb0086L6irsLolb+NCkP5OaIBlXd028EblMjr1VT+uhQ0SPHUPBUf9nO+miWfSZe7N3PaFvFi3LN/i1USB9Pwpum84O40EGHDWjsTt+Nc/9r+U6uopf0vWWfD6f8q8XEDNuLIlbRA+sVSXgVAh8OSOKa39sonXLJkwH95Pxx5so//Z7FGGhDHrqCe934Jd0vd2B7jKmagHfOxfu2dYhmpoCM1q6E3FxYegcFZgUKWxdu5WcYcOw2xzoW6xEx0mKztvWH8WktzF1Vo43zLZq8WFkMoFps/qxZplYYHjw6BTqqvX0yYkjulC6tDYStMImGhBWlcDCqZHc/aXooTnUR4PgCZdVVdejc4q3vPyIvyaNIIDBaMVkFj/UNYbAsF1G417kLjupR4+gcNmQO2045Srv/uZG0wmTsourW/3WnQ4nLo9H6sOFBxjXKxqLUvKIpQZxZv770eUA9EXgMFL4zlbrn93ke24V5WL4YuSEXtgcTlztQoF/uGt8p9cSFxf2myKgn+r1fnfIn0TaKzyNklbxGZzRazpR7jhv/9GeeZCAQJgjyu93a7+aT/MKf+0kgC1XXkvfdz5AkJ242spjYx9gc9UOLs2chV0vMC7mHOQy+Vn7/7ZYxfO6qu8c0pW9aWgw8uehtxCpDqexQfyuHf3rfTiamog87wLcTsmzGzXjQsIuu9rv2jQRybT49C+PiMDYYkAFWH93KReNvZQpdiP7lt1LiMFBbVUTyGQnda/PFvS8v2cv3A4H5V+L3uaGLdu82y8ceQX77eXsYA9uuQzB6cKh11Pw6uveNuW7DqLNzPpFXe+JoDMD8aTfxpycnJCcnJw4z+oSYJxnezSgAXJPtu/ugjNMNAr2rz2IvsXCey9v5Kv3d/D+KxswGqy4XC52by7lyIFq9m2XjJv8gzUc2V+NxSzNDjf8mM/qxUfY+FMBtSGpGJSi16R1m8izd5vEj6hVKcMtE1g8KYIvZ0Sx4pxwXB6PlsMmcZ70en+F8dAwNTKZZLRsKwnk78vdTjKa9qN02RCACSUL6FsneZVMlkBO1fFgbBcaVCvl4DGIdu2p4KcfclnyzYEu9SUHOlMkMvioqreJdepCRGPQV9U8NiHUu70H3QNDO/mDlJBEItXiMzwpxT/FWS1X8eb0f/PG9Odp+P5b8m+9iaJ778JltQYYUoooiZxa9+XJ8RMTQxK4PGt2l0rCnA2YmjqBWG0MY5NGeLcNjMkhJTQJt8tF1Ttv4/DozDWvlIxYmVZL3FXXBvQXntYHQS097267HZdVfFeUGvGNClWG4FbIUdpdFNx+K3VfBueY9aAHpwK3y0Xj8qUB24uTVCijYzgnaRQA9sjQgDYg8oR/q8KyXfp65eTkTAF+DyTl5OQ8mpOTowVuAp7yNPka0Ofk5DwOvADcmJeXd8aLTaWPFv94gyGMz96SjBOb1Unu7ko2r5Lc71vWHMVksOJySR6SD1/d5F2uLBPnjscK6jmQdB7beokihN5wh0EcrEwa8ZYWpampifGEPTyaTdWPP461TDTaCsr8uQ/ZgxL91uuO7D3u9SldNtJbDiG4RaOxpkzvZwB2BQvW+ocgVEoZ5XXitbSZN2EIqIHjBUptQL92j5TNx1P1+dviLMfpdJHnUTf3GlM+2lX1HRDbe3DysDitCAhc7iF/D40bxAMj/8yDo+7qVFqjjVzuNOg59shD3u0xcy4j47kX6P3s895tzatXcezRh3Eaft3/31XZc3jinAfRKgKnDvb6evTbAydCKffeT58XXgnanyCXM+6rL1g0NYqWaC1uux23R1tKqZW86KYIKSOyefXKU72MHvQgAI1LFvlxgduwZWgIYapQ1HKRhlKj6Jh83vTTcmpWrj6tArMVb7xK9ccfnLbfC4Yuhfny8vLWAevabX7TZ78LMYvvrMLYoRkUrKvCogjk3mi0SnZt9hfKM+itfPzGlk777JDkrRcNkMSEDBqt/iG8qJBYQCSU1n3zJYm33Earzd808fXMWBwWEnJFQnvCjTeDTKDmI/8HJfriOViLj2E8sJ9R5YvZkSZmPe3fUc6YyRmdXgOAyeJArZJhbGd82R0uLpvch9cW7Pfb3g8BlYcA34SbQtzIwMuPAghmPZ87ZyBrF+YiR/AaqtvWHaXsmDhzbzOmgtUh/CXBaDdhdpgDyMlnGiWtZWgVGqxOKxqFmnPTJzMifgiR6ggEQSBaE3X8TjxwNouK5FEzLyLm4jne7Wl/f4yyZ8V5lb26Gmt5Gbp+/bv3QroIt8NBw/9+IHzCRFQJicc/4CTRkVBu8d8fDLpd138ggrxjDpggCNT1isJ6pNrPmFL5GFNFI5LpXSjVNuxOwd4e9ACgdZOUnPLD1AguXSs6EZpD5STo4rxCym1zZHXvDKyeCh9LJoZz0cZWjPv3Ubhf5Fkl33kPishINL07H5M2ff4KIUlpDJt+5Umdt+nwoZ/1fe8Kftkj2HEQqlNDB6GDTasKA7atWnzkhPqv16UQa6rA7XAgazXglMG4zMlcGhrPs9vFWegfB15PS5FE/DUdyiXvrw9Cn+v9+nK53BjtJpYdW0leUyFXlYof0x26PkztF4ksJASXUQrVRM+6CJlSRd03X+JYscq7vSuFf+ubzTz2wXZSYkOobxHDCdHhahpbrcSEaxiWJdbA871zKp9Mwrb8jdSEUKiRuG/hQZQzEhJCqQZ8cyqryiWGSLin/mBtixQC7Duw09yFsw56m4GHN4rlTmb0ms4lmRee4TMS8XX+QtaVi97VGE20d1Z5qiKvMpV/CFbbJ5PI82d4Q4Bun6xVl82G2+lErj21kjRdgctuQ799G41LF9OyeSOZL/5HPJ/TZHS4bBIxPWLyFPQ7d+IyGdFkZnVqSLVBq9BgRrx3cXvEAUqllcIpznYJO+Yjh9H1P3V9uR70AMT31l4vZWOXJKv5dFY0WquLywZd7vXE3jTgOn6s+xjLETMFk8OZefNf+Gbj+1TFKTFqDIRYpAy/yjdeBaDvu6J+Xfv30Go1c3jbj8St2QfswzjmXEJCuz7BA3A7nbitVmSn4RvTGX4ZJIWTxIl+QJsbJMMgs19cJy1F7EsWi5ZW/vd1VJX1uARQKVSkhCYxIDqHmb3PY2TCMGzR/qQ1k1KUQNC58sAToqs1NvDghidYU7aB1jop0++LlQWUtLrIfOV1wkZLadcypTigycMjULjsxJl3A2LZl+Nhzd4KrDYnRytF8nlUmJp//nEMf750ECNzpOtO60BWrG1yMuucXh3+xmFczL52CDFRWho9XLA+nr41PvX0dCEq3G43H64Ui+qmZURx3sW/rAGizZACKGw+htstGsZnEg6Xw2tIAVicFjTyEysK7Zv2nDj39qDb2xB76eVoPd6oildfpnnNarEw6l13UPrkP0709E8YDYv/R+Edc6n58H1A9KK5XS4aly2h4PZbKXvx+eP0cOpwtkiThPjf34QyXpwUKGO65q1UypU42tlcap1kTF3Yd4bfPuOhXIy5p6cgeQ9+fbBWVlL9wXvesLy5IN+7b+1I8blrjFRQkaCib5SUiT06cThVcSqWToqgwFHFa3mfUBUnftObwoNPGlo2rKPo3jtpWLQQl4/w7Lb/PoXukx+863tef+aEr8Pl0bs608bUr9ozBaBy6LEpwkhpPowMN30a95A78DzqzQkADBieTGJKOKt9vFLZgxKYflE/io60j2z6w+3x0Rg9Lk2lEzQq0XCaN+wWbztzsr9qc5sxZdcYyar9kXr1UJbZfmRwqYnpOwL5Ji6XG0EmI2rGLPQ7tpN8973efYpwsa+0hhrqUsEWRL+qPZpa/Ynq918zDJ1Gyah+kkfoonG9qNwSvPRFVnokfzg3i/SEMHYtDE42HDE0ibTe4nXHRWmgwYLZIoYU1e1Cek6XGyuwHxe3XT7ouOd/NsHp8g9uVhiquHONGPG+e9hccqKzzsRpeYsEt8FkP/EQZJsuUsiQoYSNHosiLBzD3j1EXzgroK1MrSZy6jTMRw6D203t559499nr63C7XD9b9pmjpSUoz6Ng7h+9y+YjhzEXFKDt+/MURgao/uh977IgCCTdchs1n39K3NWBpPNgGJc0GrvL/33S+HimwkOj8f1Xm5YtoWnZEvq++2FPuK8HJ4z6777BuHcPrZs30uufz3oLGe/O0bIvR8e/Jz3B2/s/pNHSTLw21u/YeG0steZ6v219InpzNMNOam1gqZnaTz4CoGHh95iOHCZ8/ASa16wmsdhfn1HZasLpmfqIvgAAIABJREFUcp6QLEpbaZtmtYvuV5XsOn7VnimAQ1oFGc2L6Ve/jez67ShcdvoeluLCU2Zk0yfb/0GZcG5Wlz5OToV/Rt4nF0UTpgrMcnDGRPLuZTHotTL0qmgOJU4GwBhiItZQx8iKn5izvj6oIQVg80gVaHr3Jvu9jwgdItXGk4eJxpTCJRoqdmvnvP/6GgOWRslrIgDJMbqAdqMyY5ALAhYC1csnjutFeoJoNB7ARRVuKn3aWWQCN82UODNVHp2q/BJxKFC2q0HY5k2zAsh+WYPC+gqRYzc2cSSxmmgsTumZ2F69+0ydFsWt/oawGzexmo5LsbRu34p+53a/bW0zVnloGIIgoOs/gPjrbkCmDu7hCh0+ssP+XT+jWrKpnXcmfNLkoO0spcXeZbfTib2+DkdLCzWffkzj8qV+4cmTgTnPnyagSkom7S8PoYjsWthiWtpEIvX+769KLb2bKk3gewpgr64KWmXAeHA/TT8Fylj0oAcgvtdtMBdKXqlwo/g9DlHquG/EHTwx7qEA4yYyCFVgRq9p1A9OZ+sgHXuzO/YSmfOOUPPh+16ulS+i6kwUzb0Fh6PriVRtSV1H3J2qMf3s+NV7ph6//VyefL2ZP9VLHxWdQ09CRB39xk1gy0cvErY1l7gxN1FX60ahlHk9J+GRGm/NuOCQHrAj49JpirAENaaiNZGYtHKWTowgNX+Kd3tzhMkbX06pC3x4Xsi8ARDJ4h1BmyV6PhQeIcFWU8eV681WB998uBMlonZFRq8orpyaGdRw1NcaEdzgCFXRYrAR4RPyS+klvUgWoBw3d84ZSNmeKsZOziAhxb8EiUwuks9ViJ4zk6cGYLqnwLPDKQ0EJquDcN0vRxZhrSeUNj55DNuqd/nti1B3Xorl50SbhtRV2XP4Jn8hAP2iswExTFf+0r8JGzkKeXgEVW97c0nQvtIPhcdANx0W1U0UXQxTCXI5ff/vfYy5B6l8TeQMKqKicTQ1Uv3R+6TMu7t7Lq4d2mamEVOnEzFxEupevQkbOQpBpcZaWoqtppqWNav8DLqGhd/TuGwJisgoHE1igW17XS0Jv7/ppM7BV0sqdOSok76WvZPTmbpUGmRkPlwrtTK4EVv82N+Jv+FGkMvQb91C4h9vxW23U/GflwGImDotgOfWgx40GOu8GdptniOAo6kqHh59DwAyQRZUsqTNI+/roYpQh9MvNocVQ6pQ2l0Myz+xCVRrbAjh9eL4dfT226iZNIDxv3+gUy+Vy2ql+v13ALCFB59snC786o2p8BAV6ZkD+Eww8LsCiUMyaNcS4q4aj+INcVZrKmsEdRQp6ZFe4+LqW0bjcrrY/vAz1IT2xiXIaQhJ8/Yhd0ncn1VpZkKUId4K976I1ESCSyCifAYWpZTePHDgSFjZcRkapyA+RKU1ekb3C07Klmm06K69CvvXYp3A6pb6oO0A/j1/j1eWfjAybr92WIceuDaJhatm9qO4oJ7De8WyMbc9MAlZkHCNoJAx5/phAdsBLhrXm7L1x1Aj8MF/NqJUyVFrFMy6cjAgla0BMJrtZ60x1WrTU2mopl+0FCqyOW3Ea2PJigzMVvmxZDUX95lxRkIwVUZR9HVs4givMTU6Qfx/6hd8jTnvSIAnBcDR0IDb7kARFYVhlyhNHjllapd/V5DLCR0ylN5P/wtBocBltlDy5GMY9+ym/JUXSb3vLyd8LZ0RyO1NTd5yNpFTpqJOSwcgZNAQAHTZOVjLymhZs4qGH74j6rwLkGk0opaO2+01pABa1q3FVlmJ+WgRyfPu8vMAHw9NPnpSSbfd3knLztGcIk1UXNf61yVUyTp+L5rXrsbtsGOvqaFx+TIMu3dK/ZhNxzWm9Nu3Ub/wO1TxCSTPuzto4fYe/HrQvHolyj2BFI2lE8JJHj+dtLDOA2YzM85lRclabhxwDXJBTnFrKWlhKURroihoPopLcLJkog2F0011jJI/LG7ssC/1/X9GpdSQ3XcIB+bdgtoTXUnYcIjCAWvJGX1uh8eaDklylu7w4NpXpwu/iTcmMkzNPlcGm3qVMqFEki2oe/gR77LbY30rlHJsVjNutxu1RkfRoS0kGIpJMBTjEBSsy/yd9xjBJaMgKZ5wayMOhYCjA9LxwJh+DAkfgsuu8dseF5UE6SlQGlhaxhdFFS2d7g8Ji8Lg8UzJ7MGz+RxOJ4pqA761qp0OV4eFhNuMKZ1OyTlT+mBosTB2Sp+A9s/cNpYtudUMzYoN1g0AU4Ym8/n6YgDcblHnKyE53DtALtsmSVQYzacWavk58fyO12i2tvDImPtJDhXTcO0uu9cb+ZeR89hatZMpqRN4ZrvoFag11ZEQcnqzE412E3lNhUSpI9EqtDww8s+EKHToV6ygfsHXnR5b+vSTAMRdfR2OpiZkupAuh6l8oUpM8i4LSiVuux1T7kFstbWo4rt+P0yHD1H+n5fQZmaRcve9yDRS+KBx2RLqv/3Gu+4MEyVQWow23G43kZ7STD+V2MjxtCm883aS5t6BTKXycsJ0AweBy43pcK6XhNuydg0hg4ciCAKOlmbqvppP+IRJhAwMzumr/+Yr6XpPwRBRKKT3t995l/vtk8vk5KeryS4NFOe1VZR7lx3NTThbpcoGLrMZIoJncLrsdurmf07L+rUA2GtqaFrxI9EzLwravge/fDj1emq/+CzovoJ0NSG21qD7fNE/Opv+Hk83wOBYMWkoRKnjr6PuBJ2NeS2Peve/dWUsNqXApN0GRuSJHiuzWkDuhJS0voSEid+YwW++z5Z/P0xMvqhDaKqv7vAc7A31VL75mnfdkX5mpRF+9Zwp8ITJBBkblNNovvH6oG3ahC8bjh2heN4dFHoqvDtff8/bRuF2EGL1J9eVhsziqwvEB+HmgcH7VstVDGwZ47etslcu8bpYEs71T6P/LlEMA1arJX5Lk8FGZ1CFhiPDDTgw17kpKWzAandid0ihh+oaI9HtsvNsNn9+hr7FgtVDEm/18JzCI7VotEpmXzOUuMRAKf2kmBAun5yJrBPvi1IhC+BeJaZGYLU5+et/N7FypzQQVNQbMHeBRH8m0GwVjdqfStYCYHXaMDssVBhEr11GRC+u63eFX6hXb+847Ppz4fEtzwHQZBU5an0iehNW0XRcQ8oXTat+wtHc5KdwfrJIuPEm77KtsvOJQ3sY9+8DpxNzfh6WUn8eWN1333qXFyVM5Eit+J68MH8Pf/3vZsxWB+8vOcT3G0v4LEXKhKt65y2/osOJt8wl8ZZbA363YeF3NK9dzdEH7kW/fRsVr7wYIEiq37WTum++9K7rPB6xk4VSpuT7aRGsvjwn6P5lEyN4/drOM42N7cQSHZ2E/vVbN3sNqTY0LPy+ayfbg18cbDU1FN13l3fdoJWxaLI4CTmWrAJBYE5mYILJiSIuJIZpqROZkDyGq/rOwaaSgSCwYWQYn86K5vOZUbxzeSzZL7/uNaTaMO7B51DdK3p3Q75dgauDYsqWIklw+v8ujyVad2Y1/n4TxtSFY9O9y5aIQUT90z9Vu35UFoOr16KhhZz89QAonW7yd64O6Ktvww7CLXXExEkzSLdMICM8nVEJwcMCDbUGDuySBpHcUctpTCghQReHbsAgv5lsfkg6i+In8HWS6NpUKmQ06TvjbUkpoYmtxYCo43TnK+t54sMd4vm53XyxPDCkYzJIM1y7zcnXH+zkkze20Npsxmp1IAiBmXcnA5VSRlE7Y2rIqBTK6w00tMss/Hh5Hk9/spOzGTtqdvPIpme4f92jQfeHqUK9MzWD7fSrgZsdgc9Ly9o1futaH1HNmDmX0evxp/z2OxobcZnNKCJPTZMKgKGjKR8rKq9by8sCiN4Op4sWT3mhFqONZdtKvEkJTp80at+QXNmmbd4J0E+xY8gN68Mb3x1gxY4yKuuNOF1u5r2ynk0epf1ybQLFtz2JJqOPt4/ezzxP9nsfoQgPRxEZRdrfHiXx1rlEewRJGxcvovYzKSsRwFxY4F22lJZQ9dYbNP0o1qYUFAqS75h3CjdKRGmSGkN8xzXAXDKBDcNCiP/9TThCj58ObiwPnpULomJ7e7gdjl+9iv1vBbbqakqe/ActHjFOw14pKcaqFPjflAiOpqhYMjGclWPDeGbCI8TrOo4ynAiuzL6E6/tdydS0Cdwx5Gb+PuY+QJRbqI9ScmX2HFS64KG5tP4S77Dysw+DtnGaxUjQ8vHhWDQyYk5AgPjnwG/CmMpICue6c0Wey0fLjvDMggpkD9zv3Z9b7yDE3sKEwu8JtfuE1N7+pH1XxJgqGV2+hAsuHSxtdMPtQ24OaNuGHRuLvcu33DeRcI2oahypjkAZFUXYUy9xJCSd+cnnMap/ArnhmZg8AmkhGgU2uwtDJ2Vi2gQR+zSKJWga6gw4XW6qPLpZewrqqayVPo6tHsPm8D7Ro3KsoJ73Xt6AzerA4XBxNK8Oh10MAXYH30cuk2GVCexDmmGEhmvYcVjKvlAppEexqsEUNDvpTOJQQ57fepuXqiOMiBc9FKfbM+V7324fcpN32Wn0HxzVyclegypi6jTUaWmk/+NJ344ATirE1x6PvruNHSVi0dOGH76j4PZbMR7KxanX07p1M4sXbuW+1zfy6HvbeOaTnXyzpogNe8XJh8sg3b/qd/+P5kOH+fTHI5g/fAsAvVxLn0ulkNT8VQV0hEVbSkh98G8o4+KImDIVVUKC335tZhbh54wnds5lKKL8Mx/DxowFJBFCAGuZv5Gi7Tegw0zHrsLqFI3Kjki3YUpx8Nk9IITwyZNZe+OIoO180fz1Vx3uc7QEf47bX9vPDZfddta9878GNP20HGtZKTUfvofLbvfWinQJ8O7lsdRFK0kOTaIwXYNJK/fW6+xuDIrtT0poEq9N/ReXZ81mWupEpqZO6LC9XK6gOdGTCLN+Ay5rYGjbbRfHxDZttkjNz3PuXcVvgjMFoPPxsLSa7BysDyViYBqFVg1mV+c2ZUNyGLpJE9F+tcy7LTImnLSMKMqONRHRkMymxcewWh1ccl2gd6raR/FbpVbw6Ni/YHfZvVkSzSYXPyRNBWBQlDTTvGRCb9btFQnq5bUGstMi/Yoht6EtxVXjMCAITopLm0kEWoA/PreaMf3jaaOfZo9Oof/QZJZ9upsKj1TB8m/9U8v1LRYcdicKZffZ2k6XGyeilMKsib3FbT5ZfH1TI8gtlkKomw9WM2FwEmcL3j0QaFi34bmJgaKUbYNe+wLDPzd+KhE9UP2i+nq9Y+DRjJLLSZ53F9XvvUPY6HOISUnBZbF4s/c06b3o+/Z7FN51h/dD1R2eKYPZjqUdebri5Re8y71lauhzDZWeTB6100pDXQv65hIMe/wzJGtffp6xPuu5YX24fGgy2w/VUOozYbhpZj/CdSrSE0JRKeXc/eoGjBYH9/53K8/+41lCtf7cQqvdSX2zmZQ48X9Lf/QftG7aiCopGQQBdXov9Ns9tSX1euRhYX4inQAyzakZUgBOt4d8qwvOK7tv5B38c6t477ZX7ya3uYCoflpGHhE9eAatjFCzf1hE1i87oB/v77VIylWpf30Yl9lM5RuvYjyw/7Spq1srKih96nHirrmOyGkdk41/a7A31CMPDTslA903hNuydjWOpiaqYhR8c34UbpnAlNTxTEudxIu73mBmxnndcNadQy6Tc256cOmS9rD5VPMwF+SjGzjIb3JvtYjOAqdnTOwVlsaZxG/CMwUQovH/eIbpVHxqncYWxlEo8//YtET6P7wutYqh518T0GfWAHFmm3Z0GEfz66koacZuC+T7tEkJTLpA9I7plFq/tHlf1fLpI1KZPb4Xz849h0sn9SEqTDyXf8/fw2cr8gkGeVgY0dOnIAAywYbM7iINGVkIKICjh2vJ8PzVI4enkBwbglqjpKnBxI4NgVofBr0Vq8WBQtF14bSuwgJ85/HUmTzcqPGDErl8SqZfuyOlgcJvZxLhPv+Xrzv5ir4XE6YKxe1yYTyUi8NTvy7Uw5sy2P09Qh/mfsG81Q/yfeGSUzofvckWwC3T2wz876gYcnK4HbhdLppWrcCwZzcusxmZRkPokGFkvvom2r59ket0KKP9PTCCQkHcdTd41xXRHWtTdQUrdooJH+2NKV/oXFYULgchDhOXVq3jvmNfkfjW4/z0qVi9fmn8OIpjg4ttxs2cRahWyeM3j+bW2f0J0SjQqOSM7hfPsL6xRIdrCNUquWqq+HwZzHa+XFVAQXkzK3aWeb0h7y06xGPvb2fd3gpMFjuKiEiiZ80mdPgIQocNRxkdTfh4cSZddN9d2KqrcLS28+p0g2flsqxZjE8awxV9Lw66P0En8aW+yheVozcOD+Wji6N5+4pYrCppsHn/UpFD0l5Y1heO5mYEpZI+L7+GLqcfuoGDkGm1tGzaQP3332Jv6vg9tFZUnJQ2l6O5mT1330fps/+k/KUXqP7wPdwOB7VffnHCfZ0KDDYjLvfxK0acCThamjn20F+oePXlk+6jfaWCuq/mA5DU4MAtE5g7+EYuy5pNnC6G5yb+o1NP0ZlAzo1SVmzFf16i6J552KqrvNsa9GJkwyEXeHj0PeiUPQropwXJsf4aFJ/7GCYGoihICKdvjRgAS/zrC7zw4U/cWbhYbNBBdk5iSqCOkMloJ0Ll314uFw2Z9D7BB6Z8j+cqMlRFVJiayydLhsXwvrEUV4shkrV7KrhmehbqIBl4idOm0bh6HW63GRAfKhWQgUCkD/E8Mlq8D3pPLbydm0rad0VxQQMAKb1CAvadLHolhFFSo/eul1TrOVYlZo1cNqkPMREaHr5hBM99Lsb065p+PpHHE4Xb7abJoyj+wMh5xOtieWiDGBJrK9FS88lHtG5cT9iYc0iaezuhSs999uFMmR1mdtaIodiVpeu4sPd0b72rE4HL7eae1zYSG6Hh33eM924v10syG0PjBnHs4b/iaBT/S0V0jJdbd7zQrTpVmuGFDu26PIAvFm06hk6jpNDzbEdlpEF5x+3/nNSAbpOkBScAg5vE0Gp+SBr7ZVk8XC+F8GwXX49m5FhmpoqufUEQGD8oiSGZIt9D204YdsaYdMJ0Kj5YepjNB6vZfFDkUoVoFCzZUuINiX+8PI+Pl+fxxM2jvcK0bYi+eA6tm0V5leLHHyVshL9IqdANWk7ZUVlkR3VNNd/mCQkiCLSEiderdIgGnV0ueqlsCgFnZVlHXeBobkYRHeOtpCBTKlGnpWPOz6NxySLMRYWk/SWwhr1h/z4qX3uFqPNnEHfNdZ2ep9vlouydN3FVVRN13gUgk2MqCQwjanr17spldwuOtZTw7f9eJrHfCH43+g+n7Xe7gpYN67xiq+b8vOO0Dg6n0UjB5+8G9Zbkp6u5ou/FDI2TMlPPRgX9uNS+rL16NEO/Frm/LpMJy9Gj3kxhu9WMEhifPu64Ug6nA78Zz1R8lI4XfAae9og0i8ZFaVwI7y4+gsHtE95op1/ROFnkw4SF+0sdAJiM/pl3DoeT2irRiJDJg9/uNg/DTTP7BeybPb6333qrMXhmnzJUNHw0SB8pWTtDStOFIsi+yBpw6in91cYa5ud9x7wr+vPynRO84ZUnP9pBtUeJPSZCvI/ZadI9N56mjL5NFdt4Zfdb1JjqOmyzt+6gN/ySFppMqFIyMk0OM3ULvqZ1o5i4YKuqpHXrZurueYD4Rju7avehtxkw2c38Zf3jfv3+a/ur7KrZd8LnXOsxNOtbLOwtrGd16Xp+Kl6DwcPPGh4/hMkxI72GFIDLYkamDnxeg0GT0QfdoMHEXn7lSXGm7A4X3284xucr8tlxRJw9Th7dm+cyf0/xzY/Q990PcfbKokIdy9ro4QB+hlR7WOQaEARe6HMD2yIHsGHyzQyacwFZqYEciVCtMiCEByCTCUwcksSNM/yz5N5bfNhrSPlia25NwDZVXDxJt/9ZXHE60e8QFePTHnoEVXIykVOnd3gNpwtt6tVKJyAI1EfK0dbr/eqhtcHtcODUtwaEcgWV5Jm31wZXlTbuEycFTSs6V1h3u93UrVyGZecubBUV1Hz8ITUfvhe8bQdZW92NDRVbeH/1q1yyroWBH3deMux0w+1wUPPxh9iqOtYfPB6s9XUU3TMP2XbxPzJo/cedgn6RTE+bdErnebpwMFTP0WRpkmKqq8ZlsVD86N/QbRSzViOizqwkQht+M8YUiIP2Bw9PZ/oIyYqNDFVx5dRM5J4X2SJXUF5nAB/V16HX3QFAvWew1yanAiBXBN4+i8mfKL5swUGaPB9ruTy49d9mVLSfCUPgjMFX4NIXCp3oCQlzHA26H+Dy30tk1az+wQ2ljL5SJkdi8qkT+p7a9hIbK7ZyoGUvkaFqjBb/+9MryDUDVNQZ+Wp1x2Ti7sDhhny+yPuWwuZj7Oik9Mue2v3e5TZR1raPUWZEb5qWL/Xut5aVUv3eO+B0MuyI+L/uqt3Ha3v+L6DfBksjHx2aj9vtZlPFNo61BHoJg6HNowfw2rd7+bZwMQuPLvMWVx4RPwRHjb8+i8tk6nIhUEEQSL33AaJnze5S+zZUNRj504tr+dOLawP2RYWqQRD4ckMZGw9U8YJyPJ+mzeJAuH94N+yccX7rhbpU77JTJqdy+Hlcd3XHk6LjYerwFO64dBDjBvp/gP9x0yjeuHcyD10vGnfLt5ey/XCgQRU2agxKH+K6oFSi7duX3v98Fm3mmanDeGFvkWc0IXkMu0dJYcApqRMIM4nfi8I778Bp9OfvtYUp2xtTbYryQMf1FH3CY43LlgZvAxTcdjPNX3/T4X5fmIydJ3V0Fw7WHyGhQfwOhVhcLDj8faeh0NMJaxDpkIo3Xj0hcv6xIn9pjA/n+EsGFMf9cob9CcljKeglGfetixZReOft3nCfUwaK2O7JPjxV/HLuajdiTH/xY3jeqFRemjeBCYOTcLcZLT7PrF4rhtN04WJ4buj9/8D6uzkMnn6lt02vzGhSe0d5+VBOH/6T0+Gi3IdUHYw8XlTRQu4xMeU7rAPPUXKs5AnpyJiS68Q2WruFuoRAF/qEGdlE+JDbp8/ux013jyd7oHgvsockYO9TR8JE6QacKgG93iylstud4ser/TchPMQ/NPLMbRK9+MftZXy+Ip+apuBiqB3B5XLz7qJDvLsoF5fPDzpdThp8zunbwkXe5RJ9xzGowmbRQL2g1zSvcXtZ1kU8Nf5vhK7c3uFxWb3FENk3+QspM0gzzb+PuY9BMWImXUpoEqX6cr7I+5YXd70ZtB9fuN1uFqwtAtwoEo+hHrLeu6/KJA7+IQodJk94QB4hGcRaH1mAnwNHSpr8ns82D9GMMWmE+HiLPlwqyXRk5qQhHzYagJhLLyfxlrlkPP8S439YQMS9f8Nw/hWcN0oyqG6dPQCd5sQ8rO0xul88t108gD9dMhBBgPuvGUrvxHB0GgU56VGMzBENkrcX5vpptbXB11uT/vfA5IPTieyoLGb1Po83p/+b6/tdybERKawcG8Y3M2K4pM8McvtI3siWTRtoXrua8ldexO104vDwoRSRkfxQuJR5qx9k3uoH0Qz10crqwJiy+dyD+m+/xnQkUE3bt8ROMORfOoriaQNoSBWNOXldI8aD+3+2rD6zw8KyY6s4WH+ICfskw3LISwt5ZPGDZ0U2oVOvD9hm3LsH/Y5tXe5DrpC+qXtm9eeGgdfw36tiWT88lDeuiePq7Eu75VxPB87vNRX94D58PDua1pDAZ7ExXIFCeXZUzPhNGlPZaZE8f/s4rju3L4IgEBGiYv/wWTSGKtkYLvEg3k25nIUTb8Tu4SGEhEUzeOplfuVUZl01hNnXDEHm8Tq1GVNut5sta4vwRTBPVn65lE0j7+DDde+VQ4j3GELbDtewcX8VVpvTz1CQ68T9Ea1uatP9P2zp49LoPySOTw9/TZm+EpvTjktwodWpmHBeFpNnZBM5wkZe7A7ey/3Ue5wiyPmeCPKaCtBaXAwsNGP1aB8N7+s/i2gv+ZAUE8KkIVIW36pd5fzt/7ZS39x1DtWegnq25FazJbeGUg9Py+12c//6x/jHludYX74Zp8vp5TMJCFQZAr0QbTA5zPQKS2NO5kzvNpkgI1oT5fVKxVx2RcBxyrXbAqzHa7IvJSU0iTuG3oxCpqBMX8FHh+Z791scgSnAbXC73eTXVNMiVCKLrEWZnodMLWlKbazYCogJDlaPwGXKPZIESOio0R327fsbXbnXLo9Rd+CoKBALYPERgb19zkBeu2cSHzw8nWum9yU5NgRVEOP83quG0ueO28n8zxvEzL4EQRBQxsQgCAIJg3K4+uLhXD0ti5nnpPPUrWO9IeHuwNgBCbz/0HQGZfjP3P98qcQl+dOL6/jjc6vZeqgavUkMsbfVKkyedzfqtNOfQXTP8D95l28ZdIOfjEK5oZLcTC2VMXI0Cg15o5K9+ypdzdR+9gmm3IMU3H4rZf96GoDljdtZUbrW2+77XpKHyO0MDLe3btuCuZ3xVPdVIHncZfKfBH03PZL1wyXKxD5DIQuT6vlssjQYVvznZZpXrejw2k8Fmyq3sfjYj2RU2AIyHv/4vwb2VfuH3I+2FFNtlL4LpvISTCVSwo7TbKb8x4XYfDIiTxWVb70OwPaBOr46XwqxV7/zNi0bN3SpD4dJ4mlecvHdZEdlYlfK2NNfh1MuMDA2kE5ytkIQBAbG9KM5XMHX5/tTDhwhGhZNjghawu1M4DdpTAHERWr9Qmjl9mTeSbyOOrc0C7ah5XA1/LCx49AZiH94G8m8zZiqqWjlwE7RZSuTCVx+44ig2XHfrBENrgtGd/xRjo3UesMSy7eV8sHSw9zx8jq+XFVAq8nGkx/uYPXuChwyJbGtdrJKjVT0FuUOFEoZMyb0ZnPVDrZW7eS5Hf/hvnWP8I/N/wJAo1XSb2gCHxz6POB3O+J4dRVfHF7A3O/qOW+7HsU+0Rsx77LBXDFF8pD4hqzacOOFOQFG14Nvb+mVGP5AAAAgAElEQVTy7/qGEttsmVpTPQ6XODBsqtxOo6UZg93I6ITh5ERl0WRtDtCSAtGbZXc5UMmDe0PkoaEgCETPmEmEJ607eraUiTXELYWEZIKMyalSiOqi3ud7z60Nhxrzgs6Q7Q4nd372Ma8degV1vx2os/cEtGmDTqHDVlmOoFKhTk1DN3AQoSNHHTcM1aS3csvza3jw7S1B/xcQJQSe+XQnL87fw9KtJbzy9T5e/UYchMweY+qh64d7vb/StQs8f7t07ROHJPHojaIwnyCXi/exAyjkMq6amkVKbPclRHQGQRB45EZ/cvk7/zvEPa9txOF0EX/NdUTPvoSQkyTnnyr6Rkrvjy9/LxhcuDmUIRqgZotPZqnPM2bAf0JzsFlKznEZA6U9Wj2DujZb4p8pYgNV2dt7ph687mUck0by9fmRbBukozIu+DvVvHpVR5dzSsj1vN8ZFeKERd3OU1ux9Afvcou1lXWfvMDmj1/C1tAgFgd/4nHKnxITT1pLj1J01x2YvvmeQy880S3n17plE26LeG4ReifVcUo+ni0lLdV89H6X+jGvFwU6888fiFapJVoTxR0eHcQ7h936s2lJ/VyY1fs8ruh7MUatjFadNCa9OSccfagc3Ukk8fwcODtMurMADo/mkSCI35lwnZJWD/9p++FarpkePDW7DW3GlN1TpPFovkRovujqISQkB2b++SJYCNAX4UFCgCt3ljMoI5qSGj2vfrWXc8OyGN1ymPhGBwXDS2mKL+XN6f8GwNhOPLLVpqeg6Sh9o/pQbfInmWr7mwlriT9p9fMGcyNHW0ro74gBxPvgamr2XmeMD3H/1tn9A46Xy2REByH3dxUmizSbbvN8rTiy17utxWThSJM4YESqIxiTOIIjTQXkNxUxIMafoFxmEA3igubgBrVTr0eVnIygUBB/3Q3EzrkMENWzAX6ffjGyPr0p1ZeTGprsd+z5vaaysmydl+sE8P7Bz7ih31WMT/b3Im3YW4krpjjo7MfRkIQiRuQQhJicGN96F2tZGfKwMASZrMvFhX/aIYWHS6r1ZCT5P7Mul5tlW0soqvA3tI6UNtPYamHx5mIgMHTbhnCdkr6pEaTGhfL7GcHLpZwtyEyO4Klbx/LYe/7hlaKKFnKGjyR0+MgOjvz5IQgCD466C5U88D4/Pf7vPLr5WSYki+WrEnRxFKbVM+CYhfDlwSckRm3gU2WcdwMhb36Oy2LBVlODKiEB48EDNCxaiKWoEICUu+/DZbNx9P67cdsCE2N8jandlw4mW5AxLXUSr9Ufpiqu49CMvbYGt9OJIO8+aZYGcyNFDYUMalIz6KgFFApS7/sLpkO5mI4cpmXtaiJLxEmN2+3m6/+9xJR9RsBI8e4H/PpyWMwUrFlEG9tTU3PqnilzQQHV77/rXc8dEc/g2D4c4DArx4Rx3nbRw24tK+vQG+p2u/lm/bsMO1aNXitj9IVSHdlBsf29Y8EvDUq5kulpk0gOSeR14V36lFnRe0J+MkFGXDcptp8qfrOeqfbQqsQXd2z/BC6f3IdH/yDJ2TfprezJ7zjbC8DmyT7bvLqI1mYz+7aLHByFUsbrSw+RX9b5Czeib+f1ttI6IGq3+NTt2xY1EID4Rmmm2WLVs6FiK0uOBbrO/7PnbSoN1X4p9QD1KUeZeV1/ilvLWFi0jFpTvZ8eS0HTUf6z+20WFS0Pek6Ljv7IR4fmE50rDc6+s2JfQ2n8oODCnG36Wr7oiC/WhnmvrOeRd7fSYpRCX698vY8lRzazpUW8frdLwGDXs7FCHCTjFWnIrOK93VK1g921+9lWtQu3201B01EO1IvhjMQQydPidrtxOxze0iK2SvH+CTIZ8tBQ5KGhREwWayw6W1vQKNRkR2UG6KAIgsCk5HNQCHLv4Afw+ZFvcLvdmK0OnJ7EiJomPTJNcO6YUD4QeWsKgsvNrT80YDl0SPztIPyLjuByuympltq3v9elNXpu/fca/repOOBYuUzgq9XiAJsaF0pSTHBviSAI/O13I896Q6oNKbEhfPDwdN68bzJXenSqPloWWJbpTKBXeBpJIQkB26M0kbwy5RmuzRGLJN844BpkHk6JEIT/VTA1m2Mp4v5oTRTnJInfvd1KKbzVukn0RFW89orXkFIlJiHTaJCHhYEgBFeo9hhTuX00WDLEiUROtOQdvX3ITVzcZwax2hi+vCCK2ihp8lb9/jtdvRVdwt66g/QvMnPuj2UIbtDl9EOu0xE2ajQJv7sRm0qGYLTgdDmp0lcxZk3HCvBFd96BaruUlKIPP3kOn62qkppPP6Ls+We82/J6qUnuM4g/Db6Ja3MuJzdL+m7Uf78gaD/55Qf47vk7GPbpZgDqohUkRJw9osfdgewo8R08mqamLlq85zGaKJRnSZjv7DiLswC3zxnIR8uOcOmkDOKjxMw4X92j1XsqGJ7dscGj8tG1+fxtaTa7xe4Au4PnPt/NBw8Hpk6nx4dSWmsImubti7S44GGQhlbJcDAodNiUGqL0NmZubOFQHw1/3+SpueZ2M7jQgmtAFrl2KWNkWfFKwlX+htqx1hIe3fyst7TFTyVrmJM5kwt6TaOouZj/7HkbEL01DZZm/jDgGr+Q6Y4aMQQ16pA0+AsGI0uOreCijPODGkrt4dtmwqBENh2sprHVQkK0LqDtsm0l6I12zFYH9rhc1nMMWZjo2XHpo1laKbnvXYYohPBGyg2VRDjSeO/LOqAW7Rgw2I28f1Cspq6QyfkgV+KBnJc2GXNRIdXvvYO9Lni6uC90/QbQsn4dztbOK7BfnHkhs/vMQBAEruo7h3vXPQLAyqIdzF8gGqADe0ehSpb+s78Mv4cX94hlTf457mFeLy6ksmAw9587GJCU2tXpvY57nm1Yt6eCI6WSwd9q8vc0fLA0kGA8bUQKTa1W9hbWeyUQ7r5ycEC7Xzq0agWDMqJZsLaImiYzTperQ37j2QDfkHS0JooLsy+EVSIXUq+TeTP8rGo5B3NCQd9Mv6i+/K7/VUSqIyhqPsbu2v20Jc83r11DxJSpyENCvAZ69LXX8kPhUialnIOgUuO2WnHZ7bgtFtHAAvDwrVwy0CoCPc0auZoLe5/Lhb3P5U7zQ8yfGc3YA0bOOWDEeEA0VppXr0QRHUPosOEnfT+2V+/mu8LFXFwpGXyOxka/NgatnNgWO+9ufosBrlgSbR2T0QVAbZUMU4VDnGCdiFbT0ZZibE47IZ8uCNCSqo1SkBGahCAITEwey/eFi/lueiSXr27GaQmsu+l2uyn/72sMrpUm0aMuv63L5/JLgUyQ0Ts8neJWydC9ZdDvOjni9OLs/SKcZsRH6Xjw+hFeQwr8dY9Mlo5r4wFk9osjq3/n3iVXEC6M1eHqMCziC7VKHjTbb8kW/3R6p1pLmMlFdqmVmRulgTy7xMr0HXrO+3gP93xRy5Sd4kdxd+1+NlVs45rljUzcI3mP2gypNiw+KtZ0enn3f/2276jZHaDR1KfayQWbW2jxyb4IMblY6vGOdcWYGtE3jnMGJPDYH0YRGynOzOpaghOjv1lTxPLt4gumTBYJour+O1D334Ey3d+ToPYRYG1oaQsHCiS4/VXwS/X+KcoJIfGU/evpoIZUMAkBuUcE0dHOO+Q0GbHX+d+vto+wUq4kMyIDgB9KFyBoxWNzi5s4UCYKL8oFOb0ixRlnrDaGGG00YSEqHE4I1fvf1/THnvAur9hRxsKNxyit0fPvL3az80itX6baoRIxsyvH88y3+OiZHS5porRGejay0yJ57A+juGJyJoN9hGhH9YsnNuLs4C90N9ITwkiKEb8Nc19Y26He29kIhY++mEuAvdnif/T9lHAaLI3E62K5a/htRGkiEQSBGI34n7Z9rVwmI8ce+oufp3O7q5QVpWt59+CnyNQqXDYb5S8+T9F9d4mliwC35/lyCYKfOO09w+dycc55ZEZmeLe5Pb+2bZB4j11mM/amJmq/+IzKN149JQ2qjw99idbioleV+J/JNBrirr3er02kQTzX6R/tpGKHmCEbNfc2Ml/7L9qXnyH5v29y+MqxfsfUpUVQ3TuKEKMdY0PHCSztobcZ+Hjlq8gefCbAkMpPV3NsaBJT0yYC4rfhyXEPU5aoQq+V0VrtL8Bqq6mm8MsPSPUxpBzpScQOPX6yyS8RoxIknuLLU54+K8Q629BjTHURxwsxCYLAmMkZftvU7et/2QLd7BabA00QRfNgiPcYFdmpEVzrKdzsdPkbaE6d5GVSO6R94Ub/3x6Wb0ZnFreFtFhIbHQw8rCJB0fdFfS3xyaO7DB1+Mu87/zWx+030L/YSoTRhWLwQOxqBVF6n5mcXEZshIaBGR2XKlGr5My9ZCAZSeFe48s3pNkG33MSNIFkWUWiZGzOzbifUJdPaMTncpz1qfjCt5CxSq4iIzw96HlqMrOCZvLJPfXuDueWYvEpMVR09zyO/e2vFPx5btABYkavadK5x5f6GJ7iyd7S74/IBBnPT3qcv42+FxCTKQC+W34AgJg5l5H1xlteI63FYGX+qgIWbjzGWwtzOVLazH9/OOgnUdD2O5dM6A3Axv1V2OxOXC43L8wXPY1atYInbh7NX64dRkaSKCUweZjEA0sM4jX8NeFPl4hhdLcbnv1013Fanz1QqiVDpjQnlnWjwnj1+nhqYpUY7Sai1f5ZUm0TqcWTO/aW18jFiU2ZvgJnayv2mmpvCNChb8WUn4cxT/RmOtuNMtlRWfx+2BXe2qR+EARvuK9x6WLv5vpvv+FIYwG5DXm43C7Mjq5n90apI+lbakHugrhrbyDrjbcJGTjIr03iLXO9yyMPm3AoBGKGjUau05EWnkKoKoTZF8wld5oUprSnJSKkiRObyry9dBUljcXcsMy/TM+xZBUfXRzNsgnhZEVn+t2bMFUoE5LH0hoqR9lqwlxUiNNgoGHJIoofeRj3KinLTzfjfPo/+gy/VvgmX6iDcAbPJHqMqePgrfunEKpV+qV9d4SIKB2Z/STvlD3dn8D7/+2dd4BTZdaHn7RJJtN778xc6tA7SBG7gIpYsK66iF3Xhmsva11FXeta1tXPuip2dy0gCtKkSL+AtGGA6b1nku+Pm3YnmQJTE97nn7ktmffkJveee95zfqel47N1bykV1Y0YOqjn5LjhVdY2MWlIAt6iyhWD1aKHOouNgTUhKl0VB39eXEJITTMxZa6bfcjKLaSFeiY4/np4DZuKt3odV6w52nmRA4gudoXTo8dPxhQRRURVMzOKXBftJ6+ZwK3nd6wayqFX9MbX27nn9dWs3HKE8irlf/xxyBV908e2LnrZXBrH0Ix4ImoH0CCPpLkykqY8ibNPUPofFheqz4Gj7csVgy7i0Yl3qxJs3UXiQidM9Bre19qr0yz5eWzZo0wpVG90VeDZGhudibburN7gOk9hoToe+PNQADQ65RxFBCrvG2wIwqRXvg/j+0ejszUT2Kx8Ji+tqWRLvmuK9ZYXVjiXC0pd21dtU56mLc1WdtgjU5FhJsz2KetFH/3OC59udh5/57zhpMaFoHer8tRptVxyshLVmzC4bygRdxepcSHOh5jCo5Dq6G0MJpeTW5MWw7NT/qaqAgz06GmmXKcaDK1PW2naqPTdd9cdHHzyMYrtvfYSi5pUEQVv3DryOmcO2LKRyne8Yqmrqm/Xvg38Y8M/eWnj69ywdCG3/Xw/JXWlyKW7nRp2rTG82MS035TIqnmAZ8ELQPiYcVhHD3Wu16bGom3RHkin1TF73l/ZMTYZuX84OTMvJCRD+T5U7Gm77Ut9Uz159mh3w17PYpYvpoYrLYE0GmZmnuqx/0LpHILqrWiAvMce4Y+br6dk8Sfqg849k+S5F7UutOoHJAbHMyAyh5mZp/T2UDzw30+9izAG6AgONNDY1DGF3Jh4V2RotayeznEX9AR4+kPlhm3ooASB+03bbNJz45xc5s8ayM1zXRcBaz/1xeL6j4o46XO13pU7w+RalTNV9v3/CNC6Imq3jLjGufzPzUo+Tv+IbB4cv5AHxy8EFKmBl35/g2UHleTHhgCXPYbIKJqPKDftQd8fW58p9+nNQ8U1vPbVNi55QEl+X7XVpfSdYxco1JZ4ilM27lYu5v1To7FWxNC4YwwLTh/JzAnpDM+Opq7G+zkYGjOIQH0ghe+69LcyHnvKdUArwoQ1WsXRSWooZsuvm9j09VIOvfCc6ph999xF0X8+cK7bbDaWr6ugfqviENcE7mPh8ocIHPNf9LFKQUOYyTO5W/Pcg9y450NMVsWZqtcZedYuV1DvpfG2gyB7teYzH27kYFENGo0S5brSXmEp55WzcbdS4ZSZGOpVoR9g2ohk3lw43e8jU6BImMRGBBIW3LeeitvCvVn1aGkqBp1BFdF1V/gHuLC/EmltbMWZinzkAVYcconV/jaw7fNuCgohMbhtRzszLI17xt7KmRmnUB7iGamvqirlwv+WccXnJQzbUcvJv1Zw/4rHeH7jP3l3h/ekbAeDv3TZFxDX+jgSprlu0M3x3lM2tBots/78CDNve5bEmHTichSB0+Y8T+VyBw3NjTz003M8vvY5bvrpryzf/gMAZSE6qgK1rBugfH7TUybz1OQHiQr0bOGk0WiojmpdPgQgYkBum/v9Aa1Gy/XDrnKq/vclhDPVAYwBOuo76EwlpSk5JwNGuKY/xg1Unrgc8gsOtHbn6ObzhnI0ON5laL9oxg2MVzkbZrOJlLvuafW12a/9i6Bc1/8btrOegXtcSY2GiEgMbs5Uv/AMYgPVpadBBjPRgZGEGdWRt/2VB7HZbNS7da43xMR66LkcLUGtKF5bbTaWrFcuYtfPGcSeWkXuYO54z4vKgtlKWP+0can8/doJvLlwulMLaXJuIqDFaFOchZhARZQxMyzNKQhX+ety53tpNBoM8cpFubXmttV1FgoDlIvi0NUfY1r8b+e+gybXhbr8h+9prqtj9/338f7CpwGw1YRia/Juc8soQs22rVgrKzHaLIwtV6r46uzNlz/4cRffrfFscjtjVDJmo57aBgvl1Q3OxPNxA+PQajRe9Zxuv/DYE4D9DZ1WQ0V1I+//sAv5QFn7L+hlYt1Kx8NjlensiwfMbfX4pGBl6sr9ochdCf2rklWq41fmtq11tW/KwA6P9dT06dQG6rC0uDNlHGoktsxCSK2VKeuVNIJ535Zy03uFHP69dXVwm82m6k2naaVpPUBoP5eYZUqK9whWS+LiMqgJ1GEqKG31mEdWP41x7XYu/7yYsevLGS4r0eHSE3J58+xolg8P5t6xtzIne6ZHxa87v58qsXyY52f96fRw3pmbTFRq77QzEigIZ6oDmAw6GpusXhPIWxKbEEp5fBDvrFciCUOzojDYlcQtbjkyTRbl/XJSwgk1d+wp9+wTMgkLDuDK09U/dLNbJWF4iJHArH5e1a7T7n8IjUaD1ux6ktRabQTVW9HHKo6FKSsLQwuByqtzL1etOxyMliWpIQFBNFmb0NqnM8NOmII+LIyEK5XKksLktrW2WiM2IpDMxFCPxPVNu12NfNNTlM8woNFK4BFPGYoxA+KwVJRTvXIFEWb1uB3q8uXrxnLf2NudEcA4s6t/oXmgki8TcYqigp5y251En3MuoRMmeR1zRW0j38YqEaagZpez2qDR82HiDN5PnOHcVrV6Jdb8A4wq2WIXU9Q4I2kty98dn7mlspKdV19J/jNP0ZI6rfJZfLc2j135Su7Xk9eM56Erx3DmhHQuPDGbE4YmYrPBX9ymAC89pb/98zBzjZsKeFhwAMYO5vUdDzi+H9//lscT723w2nKmL6HVaPn4xHC+nRBKZJDyoJAbM8hZCfXAuDs9XjM5abxKfyrjiacxDh5M/azp/Gav1r17zF+YkjwBq5tGXuL1NzmXzZfMY/G0cBriOi4SqdFoSAtN4evJYTSZA/htQOtRr+gK5XOfs6R12Znfi7dSGKn8ZoLHj2/1OFCkTVLvvo/wGScRP+WkDo1Xq9FSGxWEucZC6a6tbCzcjNVmdXZXAEj5PZ8Zq6sIq7Eyalst8SVKtHj0ICW6EmWKUEmvtMaRuiLWDTBTHKb+LR6MNXDb1Du856AJegwhjdABjHYNqsamZkwBbX9kVquNXW56PRfOyOZ/9ujAy59t4a6LRvKvb7ezzj4F2JFKPgfxkWYWXe958w4LDsAYoMNs1JNtl1gISHBFxjQBAcTOuxhjipJEbUxMoqUCUWBGBlUlxVT88jOhSaNU+4IM6gtay4iUgyV5v7Ak7xcWNNqojg4m51JFdVcXqoypUXtsFTl6ndaplv3Bj7v4bq3yeRbbq/sSY8w8umYRANd8XAx8xGlnDiM1KoNXG5eTFZ6JrbmZPbcqCdt1u3YRf/kVADQcOkT9ti2E66HcoqepJpB50hz+tfU9JiYq1TuNhw9Ru03JF4uaOVsZU3hEm42Aq2oaOWL0TLB/OX0OU0ZnkFcYQ2nRaiKbqij8P5ecwbScUNbk1TEkZSDzJp1OkMHM9UuVm90tmRdx+KUXaCorJTAzy+sUY0DOABqaXd+prXtLCTLpnVV2yXaJjYlD4p0VkA4c33NQ+tf9J8xEcUU91bVt56QcbwxMi+BQsSu37cMlu7n45L6tnTV07OnkVx9WJe2OiM1lRCtCjufnnMUv+Sv5blwII/tNIicigsUnBLOrfIvzmPigWM7NnsWyg7/y7dVjWDD0CupsbnpTUREcaA4gRXN0jvjc7Fn8vfJFXkpSHp5GbW+7N2d9gKcTYbVZeWbdS+ytPMBN+Uq+Y8zc89v936aMTExHGUnXGE1AJcVPPMXi0yJ4LcJAaHUzf5q4gJyobKauq/Z4TXNSHNE5g7k78S9tRqPcuXXkdTy46kk+ODUSG3DDh8o95NTMk1q9Jgt6DuFMdQDHU3lDY/vOVEOL6cDYCDM6e9++AwXV/LzpEGu2u8rrvSmbHy2mAD2v3TWD+toGZ3JwxEknU/rl54CS46N3a3gbNu1EarZuwdx/ACWfL1Y22iDqjJmUfPEZUX8UQaqrWsKkU0eExsSPaHUsGqsNo8WGJdB1gXAkclobGvgpbwVTUyYes60XnJiNVqPhv2sO8N5PW9FFFZM4wMzW+no0bgn+OV9tBDZy6/gxWFau5kDKYee+hgP7lfD/ut84/IrSXPjiiafyQkEsi3/Zw3nT+/HopHudx5e7JcK2Nq3Xkp825GPTaKmZdQkN335GZFMVS6JGEhQRytxpWRj0Ou7Yn89Ve9RJpGO/fZHzHn0CY6zrSfXKwRdTZCnE+O63VMtKBV7DPlePMG1QkLPtR/odd3L/kSoefGutc39NvWfeVGvCmu4UVygRtZaFE8c7F8zIJsRsYPEvyjlYsj6fOVOyMAXoeOmzLaTGBnPmhPSj0h3qbs7IPPmojneMfXtmIJHxesZYm9lX6Zoynie5qvEMWj0NNPPMxlc4WH2IBy+7nKbtO2hOSYBCRbPtaIgOVPdK/OWUdOZET8aUnoEpIxNLRTmHXnieensit1Vr49u9P3JahiuP5tPdX7G3Uv2woNV3T55bfVwY/KFc092r9PKtPxBzqvfcq+hc5eGwvVwyd2LN0Tw/9TFu/OkuQJnes2rgNrcKYEHvIeKCHcDRoPXd73e2cyQ0epFQcJSuA6zYdFi1r6sat0aEmtRVVuYgshb9g7T7H1I5UgC6wEBSbl9I1MzZmAcrIou60BCCRyo/cFuJMv/vUJx1byR5QtIE1dTT2Hh1Ww2DXY7BHOzS6NLo9Vg1oG+2sbO89WT4jhIUqIzHNHQZAVmb2Fqv5HAM3elZYWVZqSTKNuS5LqzW2loK/v2m05ECiKhREq037Crmja/UApU1W5WncUNMTIcqZcqrG9h5UJleCx4xkuzHn8J67yKufvx6nlgwAYO9R6MlNIJDxiiP15e2qNIZEZvLxUPPxlrnvYIs4eprMWVmOacc0+JD+Mv5rrw4R19Hd7RaDVecPoCspFAuPVXigT95TgvPGJnssU2g5DrOnJih+szyi2uoa2hmnVzE4l/28uO6g704wq5lxaHV3PjTXTRZXRHKrPB053KALoAGayMHq5VOAPXDcjg0ezy/lyg5fLqjjEyFBASrouHhw0YSPu1EZ8RIHxZO6t33kfP6W9QmR2Out7Fs8zdU21tmNTU3sTRPyXFMz3dFyjSG7okd5M65ioIIz/cO2XuEl1a/7Fw39VMq/yJOO4Poc849pv+l0+q4efgC5g+5jLz4APLjAlrtGyroWURkqgPssZff/ya33VIGXL3g3ImLcNN5KVSHfKM60YOuPXQhIS414laIvegSyn/8nuiz5jjL9NPkUsbmDuWUwgT2/vVOIk4+hQsyZhIUFMaI2Fwqlv9MwVtvYh48hItuvJlZWafyzd7vWXFoDeZ6xZk0hbRw4IwmDBYLvxdtwWqzdmp+P0CvQ2OsRaNTRwFP0Q2gnrUY09Jp2L/P62sN0TE0FRfRtFx9Lm2H8iBUSZTdnV+h2tdUVkZAahrp9z3YofG5R4IiQoxEhZmcTrN7sOKW84bxzKsl9Ks5yB9ByVw0yETIN+9TtXYN0eeejyHK5WhVbN1GwwFF+sE8aDC1dgcv8vQzCRo4iCB7TpeDnORw0uNDGNovmjPGe1dCn5SbwKTc1ltOXHBiNnuPVDKsX9/ofdXXSI0L4dJTJd7+r0xeQZVKe+q9H3bR0NTMGePTe2+AnWROvzP5ZPdXXvdFmtRT2EdqXKKVj619VrVvS8l25mTP5Gj48+BL+c+uz5mROoVhMYNbPS46Lo3ag8Vc8UUJdwY/yIvTn6TJ2oTGauOspeWkFriuxxpd99zuosPiGPrIIo48/yzIrofFuuAA+q12PcSl3L6wS/oNZkcoTuX0lMmqB11B7yIiUx2gxs1Baku8s77R4myMmpsVxaPzxwEwODOK08d5v6FFhnSfM9URAmJiib3gIrQmkzMxXWO1Mu7DDVR88AFNhQUU/t/b9G2Et8IAACAASURBVPt+CyNicylftpSCt94EoHbLZvYvvIMwXRCzs04nLCCUxCLlswpMV+cd2OrriSm3kHzE9QR7rKTFh6AxqNsqJAUnUL9WmdoKGtJ6iXBAorrZcPDwkZiy+mEpLCCh3tNZLiytgcZGCmusHC7x1OryhkNGIyHK3KYieEpsMCGJCawLH0C5IYShs11Jr3vvvNWpJA1QtvY353Li9Tc6l1t7wg0w6Ljv8tHMnpShilgeDVqthrsvGeXTDkF3E2/vmPDOd55R60+WeW+O7SskBrfuaLtHQ9wbdXsjJfjoVaqzIzL565hbGBM/wmtDZwfRp7nyFidsrKa2qY4mq4VJG6tVjlT8lfO7VX8p1BhC9i13qbYVlBxkuD1aLt1xa5c2bgaYkz2T2Vmndel7Co4d4Ux1gMxEV5Slqrb1NhLuzYxH94916u5oNRrOnZqFtwyKpJj2c1d6Co1G4+FsOKjbragbF77zb9V2S2kJtfIOggxmHp10D/ElygUsRFKXQxtilNwBaX89T6x9nruWP8yWYs9+bx0hJyWcS2dmq7aFN7qe0Nx1ddwJGjZcVRod2H8ACQuuJeIkJZ9kXopybh3VlzabjVdfU1rghJfkcfdrq9m+r/USaAcOpftRUmw7R8L8WQOZNTGdh68cg16nJf4qlxJz2ff/cx1ovxHEnHcBWkMA8fMXkHzHXS3fTtDDpMW3HfltrWuAL+AQhW3JNbl/Uq1nhaW3+T6zsjxFKLsKU3oGAfYelKO31bJY/oLGhjpG7FBPiYeOn9BtY3DQUnYhd7drDFHjxrY8XOBnCGeqA1x15kBnK5fv1uaRX+RZnQHw6xaXgKTjhuzOAnu5+cwJ6bxx5zTeuHMagca+FaZNuetelcK3g4D4eGwW7wKQxW45Pqk65bWGcLXwXMpCpYHv4D+UaEtlYxUvb/oXeyr2HfUYt5bIfJP3mWpbSrXyOQYNH4Eu0LOcOuf1t0i6/ibCZ7gScUNGjkaj02HKVHLDTFvWMsNcSk7pLipqGvj2wx9JKVacyAq94vQ+9UHrbSPqGy2s3VHIk/b2Kx0RdkyOCeasyZkk2avsAhJdT/HuPfyaa5Wnf/MgJcctdMw4zDl9u4LseCDQqGfOFHUU1qGSDjir/qpqG33OsQrUeY+aD45WS7NcN+wq5/Jfx9ziXJ4/5FLuG3ubR0J5VxN/yWXO5eI1K3h13Wuq/a3Jl3QHiTfe7OFUNUaFdnlUStD3EM5UBzCb9Jxuzzv5bm0e976xxuOYsqoGZ5VeTko4/dM8VWxH94/lxVtO4OwTMtFoNH2q2seBLjAQfVi4x/babVvZc/stqm1G+xOhISKSw6+9iqWykgS98lptoHp6yyGPABDi1ifw6XXqxskd4aXf36Cq0TXlprPYkD5WplcD4uIJHj6C6Lnnk3b/QwCEn+iaPjPnSGT/802Sb19I2FSlCkZvd/yaqyoZtekrZhauYOnbX9Lvh/9jQpmSm7Q8sn1h1Rc+3czLn7lKxwd4+Q60hzEllcgzlPySyl+Xs/Oqy9l790KKlyt6UC0/V0HvM32EK1H/jTuncfLoFM4+QXGw7n1jDe/8T+am55fz5Yp9NNu15iprGqmobvD6fn2FMKPrN3vDMEUrblz8KI/j3DsmJLlNDUaaIokLaj8621lMGZmETpkKwGm/VlJZo1TU7c8MI/3RJ4m79PJuH4OD4NxhZL/yOoYk10NRVFbHRUv9leKKOizNVhoamzvcTcTX6FthkT5MayrcDvKLlWjVWZMymDUpo9Xj+lokyhvuPamy//kmu+YrmkyOrvHBI0aSeO0NWCrK2XPrzVRvUBJvtUajkuej1aIxqD8vd8dxxqpKFp+oOBoxnXhqjS6zMPWwmYaSYue20PET0Oj1RNrFNbNfeR1aPBVqtFrMUn/VetgJU6n4+Sfntqo/1PkuRQHhdjtaH8+2fa6y6OHZ0R2SH2iJRqMhavbZlH79pXNbU4Er4qkz+3/LFl/DXZ/LKfjqVnSydIOi0v/Z8r18u/oAT107gZv/oVSbvblweg+O9Ogw6Y1MT5lMVGAk/SOzeWHaE16P02g03D/udoz2SNbNwxewr/IAyW3kXHU1UWfOpnLZTwBOUczM6EwCYrvfmfNGxoN/o2r9OuVa079/+y/wY/IKq7n/zTVMzk3gl02HCQsO8KqX6OuIyFQHMRnVN+SWauiNTfYqtgDfD+e6O0IarZaY8y70ul8X0kIoTqfFWl+P1hToNeoWaRe8TC1wqaTH2FtdlNaXOUub26LJqlwoNVYbF31bStLGg2TmKVOHQblDMSapy/k1en2HIoBhk09QrUc0ucmaRkRzxC5hYLO1XoTgqMxMjQ1mwexBXo/pCBqtloSrr/W+z+g9j0XQe2g1Gh6dP45FN7huECNyvOsLNTQ1c+Nzv/TU0DrNnOyZTE1WdOHaiqbHmmMIMyr5Y9kRmZyUNrVHI++GiAh0CYrzduYvSjWusbb1vpQ9QciIkQQPG47WdPxGk202G+/8T+nJ+otdFqiiWslNbWhsdqbMbN1byiNv/0ZlGznJfR3hTHWQlk7S3sOKXEJ+UTVvfrOdz35RIhl6L7lSvoYmQH3DDh45ssV+JXLVsjqmdvs2GvMPojV5z7WInn22c/mGD4oY+EcdlQ2K03Lvr4+x8JeH2h3b9hLlhxlV4RkqTrz2hnZf3xqGGPUTbE6NIlAYded9ZD/2uCra6C5/8c2q/VzzzDJ+/v0QlbWNJMcE8cAVY5xaUsdK8MhRJN92J/1eduV/JMy/pk9ODQuU7gRhbt0M9Dqt1x6HLfHXKY/eIOmqq1XrzRWtt5kR9Az/+ekPD6kZgLoGCw/9ey33vrGGv3+wgac/3MieQ5Ws2nKEovI6PlyyS9XE3hfo+3NOfYTgFtN8f3t7HW8unO6RP3WsZeh9CW2A3Vb7jbtlno4523vic9MR5cvfVgmyPiISS5lSEXfS6irejj6AxR5tstF+gu66wt8BMDWqo0PG9Iw2m5i2h9bL9JlNoyEyKx2NVstZkzOpqmti6fp89h2uJCIkhrzCaj7+SdGVeetbRZnc3M50cEdRpgeURN/Yiy7BemCP136Lgr7L5NwEPliymzlTMskrrMZqtXlo1VXXNREp+h52Caa0dNV6fAvnStDzFJV5Fxq+btHPzmX39IjaBgt3vrLSuT4wPfKoWq71JsKZ6iBxkR3LVfFWxedrNBxSdKAM0cpURcswdXs39Sa3HKaWOBwpBxf+t5RPB33teq3V4tFA2Z2DVYcI1Ju4vP+pVP3o6mmnC+qcxIRGqyXyjJlUrVuLtdlKc1Ehpv4DVY6hzt7Q9R+fbqZ/ajg7Dng++Y4d2H7D0qMlfNqJxMScRVFRy46Kgr7MSaNTGJ4T4+yAYGm28ttTP6mOqam3ECnaqnUZWYv+QeF77xB93oUYIo6+AETQdTQ0NtPUrDz0zpmS2SHdtS9W7FOt5xVVMyjIu9RNX8P37/y9yDvfyR7bdFrfn4YJzlUq16LPnQsojoYxNY2AxCQyFz2vSlBPe+hvRJx6uvoNjqIEvMmgYdnBFc71mnbypmotdUxbXUnVi2+rtjuaOHeG6LPnkPHI4xjjlPYrQVlZqv1Ds1ySEa05UtOGH71AocA/0Wg0qlZSep2WHHsj8olDlO/Yso35vTI2f0UXEkLC1dcKR6qXsdlsXPPMMjb9UQJAdrJnhThAYitT4Y6uDY58K19AOFOdYOl65UKYEhvs3OZjUjJeiTjtDNIfeZyQka4IVOo995P2wMPoWySdGxOTiDn3PJJvu7ND753x1CLVekGkelrMXfLAQbO1md3le9lYuJnKxiqyZU9HRh/adY/38X+6koiTTyX8xBmq7YMyIlstMHhz4XSunnXsSeeC44OFF4/kjTunOQVdl6zPp6C0bQVxgcDX2LDTNZ2dmxVFZmIoqbHB5KSE88adrsbMd18yktsuGEZKbDCLbphEZKiR3KwoThurOFOFZXU0+Eheoe6BBx7olX9cW9vYrf84KMhIbRdXBjRamtl90DOZ7sQRScSEB3KgoJoLpmdjNvX87GlX2qvR6dAFB6u3taOLZYiOIWSM0j4n+pxznYrnLdEFBmJMT6d+716sNTU06TVsyQ4k5UgjBouNg5QTbAhyVvkBfLrrK96XP2V94SYAxm12OVwx51+IPjKSyFNPV0XMOoPWZCJo0GC0XirnBmdEsXFXseoHPiAtgolDurcMvDu+z30Zf7ZXo9EQFxHonNL4cd1BThmXhq259VZV/oY/n19vHG/2rtpawNY9SlTq3stGYwzQMXmo0gtUq9Gg12mICDEydmAcMeGBTBuehClAx8mjUxk3KB6DXsvXK/djtdkYnBHZZluuniQoyNhqg1YRmToKzp2SxfM3Tea6s4cQ5OYwZSWFcempEi/cPNnZ0PZ4JCA+nth5F2Me0LZIXXDuMDIefQJdTAyxZRaw2ThnSTkXf1PK9tKdvPj7G6rjVx529aUbH6hOfg/KHUr8ZVd0Omeqo6TFh/DUta7WFGefkMkt57Uv6CkQuKPRaHjWTUph54GyNo4WCHyHyppG8gqV/M4H/jTaGVzQabVo7Q/kZ4xP56oz275PDExXpmqfeG9DN4626xDO1FGg0WgIDjQwUopROU1Sajg6rbbLKrmOF7T2KdFHEy5t87j6ZlfD36y96lY+jiT5nkSv0zpFGUPMBr+o4BT0PKFBAdw4R2nKfbDQe4sqgaC7sTRb+Xrlvg43cm+LovI6bv7Hcn61a0p1Rndx3gxXWyaLD0RtxV3gGDHay5mDAw3ourEbuT/j0K8qeOZp5za9xUZScAJ1ljp2lO4ir+qQ6jVx+5R8KVN8PMl33NVrPa9uv3A4sydlMDm351SeBf5HQpRSJXygQFRqCnoe+UAZi3/ZwyfL9nDPa6t59YutlHeizdGnP6sr9jrT8SM2wswoSXlY3pXX9zXDhDTCMeIIVwoNxWPHWlfvsc1cbyW/+jD/3vYBm4u3q/blRPRDU7kLfUQEI199sVelAiJDTcxuo22QQNARYsIDCTUbWL+jkHnT+4kop6DHKCqvU02h2YDV2wpYva2g3TZH5dUNbNlTyvjBcapgwh8tBDqDAjs3W3PAHrF96oONzJmSyenj0vqscLH45R4jgzMV7Yu0uJBeHonvYh7oOWceWK+Ec1s6UqPjhrNAmkdTcRFac8/kRwkE3Y1Wq2GEFEtlTSP7j4jolKB7KatqcKrur91R2OpxrbXMcvDZL3t485vt/PnJnygsU6pR5QNlFFfUk5UYSlSYiQFpEc6gw7Fy7VmDncufLNvDtv19N7dQRKaOkVPGpGLQaRkp9U4jTX8gUPJsAHrBd2WsG2Bm+XBXNWFMaROTl28jv0ZJRA9sof8kEPgy6fHKA9k/PtnEEwsmqBonCwRdxZrtBbzy+VbGDIjl/OnZFFd4zgw4yCusZs32ApZuyCc9PoQFswcTEeKqbj5S6lI2f/SddZwyJpX/2LtBpMaF8NjcYZSXdT4HKzUuhDEDYlmzXXH8DhXVMCi9b4p4isjUMaLXaTl5TOpxXb3XWfQhoWQuep70Rx5TNfAdud2lu5MRmsa8lRaaD+RhKSkhIDGJ2HmX9MZwBYJuwSFcWFnb5JFzIhB0Fa98vhWANdsLufXFFfy0QdFJjAgx8vBVY3nh5slcfprygPvI27/x3do8mixWdh2s4NYXV3CwsJomSzPXPLOMnW45TJW1TU5HSqfVMH1EEoFGfZdNWZ81OdPZWeT9H3dRVF7HH/kVXPH4Eh7/v3VY+4i4o3CmBL2KPiSUgPgEEuZf47EvyhTBbaOuQ1PjegoKGjS4Uz34BIK+Rqqb6O/3v+X14kgE/kpDY+vCl49fPZ6k6CDMJkObaStrdhRysKhG9V5zpmSqjnl0/jiSYoJbvrRTxEeaeeHmE5zJ7It/3sNzHyuagzsPVrBpd0mX/r9jpUPOlCRJMyRJekmSpAckSbrfy/4MSZI+kSRpoSRJH0iSNKvrhyrwZ9wdJE1CHBcax/DnlTrq9+7BZrE495kHDfb2coHAZwkw6PjsyZmA2rESCLqKV7/Y6nX7/JkDVf1kW7Z3SY5xrUeHmaiua3KuTxwSz/QRyeh1Du2oNFX7pK7EoNdy2wXDAFi1rUA1jk17Svjzk0vZ3sv5VO0+4kuSZAZeAQbJstxgd5pOlGX5R7fD7gCWy7K8SJKk4cBHwBfdM2SBPxKYnYN58BBqt2zGdriA2H99RR1w4G8PqY4LGjykdwYoEHQjOp0Ws1FPcx+ZsgCwWm1Ymq0EGEQOly9TXFHHxt1K8/ngQAPP3zSZzXtK0Gs1DGiRf2TQa3lz4XQ+/ukPGpqaufDEbNbtLOLlz7bw1rc7nMfNGJXMnClZGA06Xr1tKlabrdslghy5hS1xTFc+9f6GdqsQu5OOWD8e2C/LskN8YgVwRotjCgCHemIMsK5rhic4XtAGBJB8861tHpP24N96aDQCQc8THGggv6iGT5b90dtDAeCfX25lwdPLqKlvav9gQZ/FPWJz3+WjABiSGeXhSLlz7tQsLjopB61WQ3iwZ5uu08elObUWNRpNj2gtajQaZoxMdq6f6LbcF+hI8kks4F6zW2nf5s4zwGJJkp4BxgAPt/emERFm9PrufeKJiTm+ZAv8wd6drWwfcO9fiRymrv7zB3uPBmGvfxNkNkB5HV+v3M+Cc4f19nCcFVTNGm23nIuues+te0rISQ3H0M33k87SW9/npRsU4eO/zBvBgH5HX30eHhHE2EGHWL31CADnn5RDdkZ0O6/qHnsnDk/mh3UHAQgO8uyd2pvXjI44U4WA+whD7dvceQt4XZbl9yVJigF2SZKUKctyaWtvWlbWvZ3SY2JCelXUsafxF3tDxoylas1q1baY8y+kOS1HZZ+/2NtRhL3+TUxMCGdPyuCZj34HYOeeYgpKa+mfFtHLI4PDBZWEGr07KhXVDYQEBRy1nlBXnd+VW4/w2pfbmDEqmXkzcjr9ft1Fb36f9x2uBMDSaDnmMVw9cyDzzxxAflENidFB7b5Pd9mbEKY4UP1TwzlpRBLVNYpu1o4DZZw/PbvbP+O2nLWOOFMrgTRJkoz2qb6JwEuSJEUCFlmWK4EU4LD9+DLAiqgUFBwDsZdcTmNhIQ379pJw7Q1K9V6AZ5hZIPA3BmdGkRBlprquiVtfXAHAbRcMY+Ax6Oo0NDbzzncyJ41KIa2VXJOOUluvFIAUV9RRVtVAdnI4ADvzynn83fWcNSmDWb3UDWD1tgIAfvjtILMmZhDcScVtf2FnXjm19Rae/2STc9uQzM7pM2k0GpJ7uUAiwKDj+ZsmE6DXEmDQcdFJfceBbteZkmW5VpKka4DnJUkqAjbJsvyjJElPAqXA48AtwM2SJE0AMoC/yrJc3J0DF/gnusBA0u65H5vN1mfbBggE3UWAXkdVrStq//cPNgJw/+Wjj8op+mXTIX7dcoRNf5Tw/E2Tj3ocdQ2uCtpa+/IdL68E4MVblDL1zXuUkvTPlu/tEWeqobGZf/93B6u2FTA8O5rrzhlCeZWrj9yNz/3CG3dOQ6PRYLXZWLo+n2H9orHZbFTWNpGZGNrtY+wrPP7uetX67EkZftNDtq86zB0S7JFl+Xvg+xbb7nBbXg4s79qhCY5nhCMlOB4JMHi/4T341lquP2cII3JivO53Z9MfJXxsT2J3LyGvb7SwalsBa7YVcPYJmc4Ikzcqaxqdy7UNFg6XuNSs6xosGA06lm10NSEvLq8jupNl8TabjWarrVWxx29X72eVPRK1YVcxt76wQjVOgJp6C2aTnqueWAooTuWBAqW/2+t3TEOr9X5d2Xu4kqXr85l3UjamAN/WsWto8tSUmjRENGTvbvzDVRUIBAI/oC3V6Pd/aK08Q82z//mdxiZXbzWbzUZNfRPXPvMzb/9XZseBcj7+qe2KwVq3yNT7P+zi3tfXuPbVWygsr1M5av/3fcfG1haLPvqd+U/9RHl1g2r7K59v4eF/r2Vfi96FFTWN2FDyZxw88e56laikw5GCtvvNvfzZFpZvPsy1z/yMrQ/JU3SUvYcrqbB/bu5tYkbmxPDKrVNEp44ewLddcIFAIPAjmq3qG/nJo1OYMDieB/61ts1IkgNvjkBpZQO3v/yratuBwmoOl9SQEOW9aXi9mzMFqFp2fLh0N1v3KrVFaXEh7C/omqTfLfb3/CO/QtXz1FFVqNdpCDTqmDMli//7zuW8DcqIZNbEDJ58fwP5xTXORr4taWq2YkSdSO+IsrnzybI9fLNqPwA3zsllzfYCQoMCmDstq89Nle3MKyevsJp37c7s41ePc07RnjY2lbnT+vXm8I4rhDMlEAgEfQR3J8aR/+OIAO06WEGz1drmDf2jpbs9tuUXV3tsa2hs5u7XVrcqcljb0Hr7EYcjBTA4M5L9BVVYmluP+nSEVduOOJf3Hq5yOlPuU1aWZhuxESZG949l98EK55Tf6AFxxIYHEhseSGF5Hbe8sMLr/2gZmSosr2PhKys5cUQyZW65Vw5HClAlcH+3No9F108kLNizJL832Li7mOc/3qTatvDVVc5lk2iY3aP0LTdbIBAIjmNOGp1CalwwTy4Y78wbDDTqMBv1lFTW8+O6/DZf/781nr393B2Fuy8dqdr38mdbWLr+oGrblr0lvLh4s8f7jJQ887WUxGYN9W30fusI//xim3P5m1X7abYqjs+1zyxTHZcaF0yIOYD5swZx57zh3H3JSGLtuVpnTEhr839s3lOiitzd97oiwfLj+oM0W23O92mLu19zybZUVDdwqLimjaO7l5aOVEuCzaIKuicRzpRAIBD0ESYOSeCBP41RJXPrtFquP0dpo3SkpO2bd1iQ5w105RZX1CcxKoi507Kc62t3FPLOdzux2Wz8tqOQugYLi3/e49w/flC8c/myU12iuTNGJXPXxSPQ67SYAnRtNtI9Fl77chuWZisO38do0DF7UoaqFF5KjSArKcy5Pjk3UeUQDcmM4s2F05k6PAmAt77dwZVPLOX2l35l+75SaJGL/ueZA50OY05KuHP5rMkZXHBiNqDOJbv/X2u55/XVqsrH3mCkFMPtFw5n4UUjVNsnuJ07QfcjpvkEAoGgj+NoQOue9O0NrVaD0aDj2Rsn8fFPf/DjuoPsPFjh3B9o1HPa2DT+tyZPVQm3dkchr3y+ldysKNX2acOTSIkNJi4ykOBAA/NmZKPTapg2wtXKo6GpmfziGg4UVJEa5ynf4IgGtVWhGxNuosliZc6ULN74ejvb9pWpcp8uOLEfU4YltWk7wF2XjOTJ99YzNCva6TTGtEi+Lqms5ym75ISDtLgQspLCuOrMgZxzQj0JUUHYbDZsgFajwWaz8fPvhzhUXENhWS1Gg875OW3bV6rK8eoJ3Kcsr5k92Fml+NQ1E9i+v4zRA2I9csEE3YuITAkEAkEfJyhQee5tz5mqrmsiIcqM0aDjpNEpqn3uUZ25U7NU+z5fvhdQZBXcc7J0Og2njk1leLYSpZkxKkXlSIGSywTwwL/WsmFnkWpfQ2MzVz6xlGueXtZmBKeuoZlAo56JQxKICDFSXdfEw28rLV5T44I75EiBEpn725/Hcd70fk7nLSel9cT9oVlRzJ85kDvmDQeUCJgjKV+j0TiV3TUajXNKb+Grq9id73JQt+xttdFHt7Bjfxm/yUpS/riBcSq5h6gwE5NyE4Qj1QsIZ0ogEAj6ODqtlkCjjhq7Gvlb327niseXUN/oclAam5ppslgJsosaRoYYMehdl3h3DauJQxK4cU6uc/1wiUsotLC8jiCTninDEknzEmlqyWnjUp3Ly34/pNq3dZ/iaDRarFy36GeueHwJH/y4i/1HKp15UWVVDVTXNTn1nUbatbQKSpUx5WZFtTuGtshIDOXMCencfsEwXr1tCie7OZm5WVGMGxRPoLH9SRr3xrovLt7iXC6prPd2eLdgabby5PsbeO1LJccsRORF9RnENJ9AIBD4AEEmA9V1TVitNn7+Xene9cS7G2hoaub+P42mxh61cihE63VazCY9FdXKdFRzs1o2YVh2NPddPoqH3vrN439decZAhmW338wWYM4JWXy76gAAR9ycsroGCy986pnI/t3aPL5bqyTKD+sXzcbdSrMMs73/30mjU5zNbAekRTC7k+rqWo2Gc07IdK5fcGI2QSY9NfUWJuUmdvh9zpuWxY/rDnpsr2knWthVrNp2RJWoD51vESPoOkRkSiAQCHyAoEADZVUNqkq7/QVVHCmtpbi8jiXrlUq/8GBXtCI+wuxcHjswzuM9Y9wStpNjXH3XBh/FTVqr1TBrYjqgRLUcyejelLhb4nCkAJLs/z86zITOPnWVHBPcLdpOMycqSeXukbv2MOh1PHvDJOd6fKSZpJgg8gpb17Y6VipqGln00e/stTcpBnjz6x0exw3KEM5UX0E4UwKBQOADOByMDbs8256u2HLEqY900ijXNNaVZwxgwuB4nrtxkteprCCTq8/ZSaOSufaswfzl/KFtKrF746zJrsjPPa+vpqq20SMSBnD5af09tjlwtDzRaDTcPHcocZFmr3IMvUloUACXn9afMQNiuf3C4QxKj8TSbGXPocr2X2zHarOxatuRVvPfGpuaueUfy9m8p4T33JTl4yIUxzc1NpjoMBNjBsSKtlt9COFMCQQCgQ8wZ0pWq/v+u1qZZtMAkaGu6rXo8ECuOnNgm7k1fzq9P+MHxZHbL5pR/WMZnHFsOUozRik5RSWV9Xy+fK9KyHPB7EGcN60fJwx1Tatdc9ZgZ6L0/JkDSY51RcYGZUTy2PxxbSaP9xYnDE1kwezBRIQYnar0Ow+WA7BhZxFXPL6E2nrvjtK2faVc9cRS/vnFNm587hcqWvQWtFpt3PaSS61eY3egrVYb+cU1JMcE8cAVY3jymgksmD24O8wTHCMiZ0ogEAh8gI6ISoaHHL069+TcRCYftxwNNQAADflJREFURe5Qa4S6OWxL1uc716cNT2LMANcU44C0CLbvLyMtLpiHrxqDzaaebvQlslMUnaudeYoz9Q97jtgLn27mjnlq3Sf5QBl/byHJsPjnPapoXV5htSpi5ei39853MqBExgR9E+FMCQQCgQ8QaFSXu58xPo2K6kaWbz7s3NZS8qAnmTYiiTXbCzhYpEgIfGaXW2g5ZXjd2UPQBugx+cG8SKg5gIQoM3sOVXLArUehozLRgdVq44n3Nni8/uffD1FSUcdNc4ei1Wp4+N9KMUBwoIGw4ADyi2q49cUVThX7qR2UiBD0PH7wdRYIBAL/x9ii19r0EclOZW5QWruM60XV6yCTgYeuHOux/Y9DFap1s0lPSgckF3yFxKgg6hubeeBfa53bNu4uRj5QBijSD899qHakzp7sqlDcuq8MOa+c21/61dlQeli/aAakRjhf72BU/54VBxV0HBGZEggEAh/AvaotPDiAiBCjqtdcdAul797i8QXjeeOrbeyyK68nRJrbeYVvE9HK1OqWvaVIqRE88e56CsvrAEXJ/u5LRhJo1JMUE+yUjni6xfRfblYUQzKjqKhpZO0ORaBz/syB3WiFoLOIyJRAIBD4GFmJSq6ORqNh/qyBRIeZ6G+PZPQ2seGB3HXxSOZOyyLEbGDutH69PaRu5YwJ6c7lMQNckSOr1cb+I1VORwrgvstGOasqh2dHMzk3weP9xg6MY1T/WIwBOi4+OYe507J48IoxvRp1FLSPxv3JpicpKqrq1n8cExNCUVFV+wf6CcJe/0bY69901N7bX/qVksp6rj1rsE9M+dhsNq/l+/52fq1WG3WNFoJMBg6X1HD3a6sJNOpVLXTuvnSk0wl2Z8POIpZsyGfr3lIGpEVw89xcDHrfbgfjb+fXQUxMSKtaFGKaTyAQCHyEey4bxd5DlR1WJ+9tjhcdJK1W49TscshQtOxF6M2RAhieE8PwnBgqaxpFtZ4PI6b5BAKBwEcICwrwGUfqeMVs8oxRhJgNXo5UIxwp30ZEpgQCgUAg6CK0Gg2v3DqFz1fsZVi/aMKCjaQkhtNQ29D+iwU+i3CmBAKBQCDoQgIMOuZOdSXehwYFUCScKb9GTPMJBAKBQCAQdALhTAkEAoFAIBB0AuFMCQQCgUAgEHQC4UwJBAKBQCAQdALhTAkEAoFAIBB0AuFMCQQCgUAgEHQC4UwJBAKBQCAQdALhTAkEAoFAIBB0AuFMCQQCgUAgEHQC4UwJBAKBQCAQdALhTAkEAoFAIBB0Ao3NZuvtMQgEAoFAIBD4LCIyJRAIBAKBQNAJhDMlEAgEAoFA0AmEMyUQCAQCgUDQCYQzJRAIBAKBQNAJhDMlEAgEAoFA0AmEMyUQCAQCgUDQCYQzJRAIBAKBQNAJhDMlEAgEAkEXIUmSuK8eh/jsSZckKbG3xyDoPo638ytJUoYkScGSJGl6eyw9gSRJmW7Lfm+zJEkDJUnK6O1x9BSSwjmSJBl6eyw9gSRJuZIkfSxJUqgsy9beHk93Y79eBR0Pv92Oou/tARwtkiQFAbOBaZIk7Qd2yrL8kSRJGlmW/U7OXZIkE/AcsEKW5bclSdL6849VkiQzcCYwV5KkXcAPsiwv6eVhdRuSJAUDpwIXAgXAb8CbvTqobkaSpNOANyVJuleW5ddRHuqae3lY3YIkSeHA3cBE4Hpgr79eqwAkSQoETgMmASuBMKC4VwfVjdjP70JgMGADxgA/9OqguhH79epM4GygDFiDn1+vOoovRqZmAVHArcBW4HZJkobJsmzzUy85BQgBnpUkSefnjtRg4EXgIHATYAaG+2vYXJKkdOAZoBb4M3AASLbv87vvstt5tAJLgMskSQqTZbnZH8+xJEnZwHvADmAysF+SpABAZ9/vd+cYxZlokmX5L8BmwGJ/IPQ7eyVJmgisBo4A5wOfAHvs+/zKVnD+fq9HcZDnA9uASH+09VjwmQuYJEka+8mcBmyVZbkS+BL4DngKwJ+e9txuLjGyLM8DdqHceP15Tn4fUAWskWX5EMpNKNWPHcgjQLksy9/IslwKBAPVkiRF+dN3GZTfr9t57Ad8inKzvU2SpEgUx9nfyAPWoURo/gTcACwCbgP/u17Zb6pTgSZJks4BzgPuR3lA8it77WwEXpFl+VlZlmuABOAs8EtbQXkIOBXIk2W5AggAYoDcXh1VH6FP35Tt87Lz7fPQNvvF+CDwOIAsyxbgJUAnSdK43hxrV9DCXseNZ4v97xXA9ZIkZcqybPWHpwF3ewFkWa4G7rOfV4DdwM/2Y+N6aZhdhhd764HH7PuGAhGAEfhMkqQ59u0+e55b/n4lSdLZdxWjPAQtBy4B7rCfe7+xF5zndwnKb3eZLMsPAF8DJ0uSNLXXBtpFtLxe2R2IQyhpCYdkWX4I5fo8RpKks3t1sF2Al/Nbg2Kfg6UoD4Q+/T124MXeJuBz4AJJkhYDoSgPDB9IkjTP/hqft/tY6bPOlD0cfgdwDkqOlIMngXhJkuba18uAVUBlz46wa2nNXlmWK+3Te1tRpgwW2XdF9/wou4427C13O2wM8IN9uuT6nh1h19KGvWX2xe2yLF8ny/JjwFdAon2/Tz7herNXlmVHXtQM4GIgA8XZSJckaYj9GL+xF0CW5aXAP2VZ3mXf9BOwAbC0fA9foo3r81tAJDAewG73u/The01HaOP8Nrgd1g8Ybt/uk99jB23Yuwj4K8r16j5Zll8AXkaJUPm83Z2hL3/BA4BNKMl84x2VMPanvbuAJyRJygFGoNx4fNqZohV77Z6+4wt6GTBTkqT3AF+P1LRlr2MqMwXlh/wSUOnj05ut2euwKcW+PhEYifKA4Mu0Zq8RxZnIB56w758GTPfH8wsgy/JOez4gwBAgFSWC48u0dn1uAm4H/iJJUoL9+zwQJb/Gl2nzemXnCyDInqTt67T6fQaGArcASJI0CeWh99ceH2EfQ2Oz9Q1HUpKk/ihe8A/ANlmWq+3TAkOBa+zbFrkdfxWKN6wH3rDn2PgMx2CvCeWp52LgBVmWt/fCsI+Zo7HXfoGaiDIl8hbwqizLPnUxPobzewcwDPge+F6W5YO9MOxj5ijPb4gsy1X2yq8TUZ5y/+itsR8Lx3B+HwYyUaatv/bn82s//haUHMBm4N+yLOf3wrCPmaO11/6asUAa8IlbFNYnOIbz+wFK4cwu4G1fO7/dQa86U/akVJskSdegzL/uBaYAQbIsX+523I0opaeLfM2JcKcz9tqf2s2O3BJfoJP29geGyLL8n54f+bHRSXvjgHRZllf3/MiPjc7+fiUfkwjo5PmNAVJkWV7f8yM/Nrrg/Op8yakQ96Oj+j6bgFBZlgt7fuR9k14Lq9ujD4H21XDgv7IsfwTcB8yRJOlkt8P/AzQCT0uSdJ19Pten6Ky99gRPn3KkOHZ7TbIs7/A1R4pjt9coy3KBrzlSHL29f3f//fqaI0Xnzm+RrzlSdPL67GuOFOJ+dDTf53rhSKnpFWdKkqTxKGX+f5ckaRCKN5wGIMtyCUo57d/dXqJDyRHagBJSbOzZEXcOYe9R21vfsyPuHF1gbwM+RCfs3cjx+X0+Xs7v8Xq9Ot7s9anvc0/Ro9N89sS8B1DmWT8CXkc5QeXA9bIs97cfZwQWA3fKsrxZkqRowOSDeQbCXmGvsFfY6xMIe4W99uP8wt6epqcjUzaUKp4fZKUk/EFgjKyUV1okSbrZflwUimDjNgBZlot99EQKe4W9IOwV9voGwl5hL/iPvT1KT/fmqwU+lmU5z23bSvvfe4FTJUl6CkXmYJ0vzbm3grBX2Cvs9V2EvcJeYa+gQ/SoM2VPOHU/kWmAoxoiAHgURe5gr33u1qcR9gp7Efb6LMJeYS/CXkEH6enIVEsSgFJJkt4HGoDvZFne38tj6k6EvcJef0LYK+z1J4S9/m1vt9JrOlOSJMWjqKZuBj6SZfndXhlIDyHsFfb6E8JeYa8/Iez1b3t7gt6MTFmBN4C/HyellsJe/0bY698Ie/0bYa+gU/SZdjICgUAgEAgEvogvNxYVCAQCgUAg6HWEMyUQCAQCgUDQCYQzJRAIBAKBQNAJhDMlEAgEAoFA0AmEMyUQCAQCgUDQCXpbtFMgEAjaRJKkicAjwECUBqwRQDDwL1mWP27ntZcDU2VZvrybhykQCI5jRGRKIBD0aWRZXgH8G6XNxQJ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lag_1_binlag_2_binlag_3_binlag_4_binlag_5_bin
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2010-01-1233021
2010-01-1313302
2010-01-1421330
2010-01-1512133
2010-01-1901213
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" + ], + "text/plain": [ + " lag_1_bin lag_2_bin lag_3_bin lag_4_bin lag_5_bin\n", + "Date \n", + "2010-01-12 3 3 0 2 1\n", + "2010-01-13 1 3 3 0 2\n", + "2010-01-14 2 1 3 3 0\n", + "2010-01-15 1 2 1 3 3\n", + "2010-01-19 0 1 2 1 3" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[cols_bin].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [], + "source": [ + "fit_models(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "derive_positions(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "evaluate_strats(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.805002\n", + "strat_log_reg 1.431120\n", + "strat_gauss_nb 1.815304\n", + "strat_svm 5.653433\n", + "dtype: float64" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[sel].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_09.png')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sequential Train-Test Split" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "split = int(len(data) * 0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "train = data.iloc[:split].copy() " + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "fit_models(train) " + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "test = data.iloc[split:].copy() " + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "derive_positions(test) " + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [], + "source": [ + "evaluate_strats(test) " + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.850291\n", + "strat_log_reg 0.962989\n", + "strat_gauss_nb 0.941172\n", + "strat_svm 1.048966\n", + "dtype: float64" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[sel].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_10.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Randomized Train-Test Split" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [], + "source": [ + "train, test = train_test_split(data, test_size=0.5,\n", + " shuffle=True, random_state=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [], + "source": [ + "train = train.copy().sort_index() " + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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lag_1_binlag_2_binlag_3_binlag_4_binlag_5_bin
Date
2010-01-1233021
2010-01-1313302
2010-01-1421330
2010-01-1512133
2010-01-2010121
\n", + "
" + ], + "text/plain": [ + " lag_1_bin lag_2_bin lag_3_bin lag_4_bin lag_5_bin\n", + "Date \n", + "2010-01-12 3 3 0 2 1\n", + "2010-01-13 1 3 3 0 2\n", + "2010-01-14 2 1 3 3 0\n", + "2010-01-15 1 2 1 3 3\n", + "2010-01-20 1 0 1 2 1" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "train[cols_bin].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [], + "source": [ + "test = test.copy().sort_index() " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "fit_models(train)" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "derive_positions(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [], + "source": [ + "evaluate_strats(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.878078\n", + "strat_log_reg 0.735893\n", + "strat_gauss_nb 0.765009\n", + "strat_svm 0.695428\n", + "dtype: float64" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[sel].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_11.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Deep Neural Network" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### DNN with scikit-learn" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.neural_network import MLPClassifier" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [], + "source": [ + "model = MLPClassifier(solver='lbfgs', alpha=1e-5,\n", + " hidden_layer_sizes=2 * [250], random_state=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 21 s, sys: 125 ms, total: 21.1 s\n", + "Wall time: 5.35 s\n" + ] + }, + { + "data": { + "text/plain": [ + "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n", + " beta_2=0.999, early_stopping=False, epsilon=1e-08,\n", + " hidden_layer_sizes=[250, 250], learning_rate='constant',\n", + " learning_rate_init=0.001, max_iter=200, momentum=0.9,\n", + " n_iter_no_change=10, nesterovs_momentum=True, power_t=0.5,\n", + " random_state=1, shuffle=True, solver='lbfgs', tol=0.0001,\n", + " validation_fraction=0.1, verbose=False, warm_start=False)" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(data[cols_bin], data['direction'])" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_dnn_sk'] = model.predict(data[cols_bin])" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [], + "source": [ + "data['strat_dnn_sk'] = data['pos_dnn_sk'] * data['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.805002\n", + "strat_dnn_sk 34.140326\n", + "dtype: float64" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['returns', 'strat_dnn_sk']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_12.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [], + "source": [ + "train, test = train_test_split(data, test_size=0.5, random_state=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [], + "source": [ + "train = train.copy().sort_index()" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [], + "source": [ + "test = test.copy().sort_index()" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [], + "source": [ + "model = MLPClassifier(solver='lbfgs', alpha=1e-5, max_iter=500,\n", + " hidden_layer_sizes=3 * [500], random_state=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 3min 47s, sys: 889 ms, total: 3min 48s\n", + "Wall time: 57.6 s\n" + ] + }, + { + "data": { + "text/plain": [ + "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n", + " beta_2=0.999, early_stopping=False, epsilon=1e-08,\n", + " hidden_layer_sizes=[500, 500, 500], learning_rate='constant',\n", + " learning_rate_init=0.001, max_iter=500, momentum=0.9,\n", + " n_iter_no_change=10, nesterovs_momentum=True, power_t=0.5,\n", + " random_state=1, shuffle=True, solver='lbfgs', tol=0.0001,\n", + " validation_fraction=0.1, verbose=False, warm_start=False)" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(train[cols_bin], train['direction'])" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [], + "source": [ + "test['pos_dnn_sk'] = model.predict(test[cols_bin])" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [], + "source": [ + "test['strat_dnn_sk'] = test['pos_dnn_sk'] * test['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.878078\n", + "strat_dnn_sk 1.115826\n", + "dtype: float64" + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[['returns', 'strat_dnn_sk']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_13.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### DNN with TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "tf.logging.set_verbosity(tf.logging.ERROR)" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [], + "source": [ + "fc = [tf.contrib.layers.real_valued_column('lags', dimension=lags)]" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [], + "source": [ + "model = tf.contrib.learn.DNNClassifier(hidden_units=3 * [500],\n", + " n_classes=len(bins) + 1,\n", + " feature_columns=fc)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [], + "source": [ + "def input_fn():\n", + " fc = {'lags': tf.constant(data[cols_bin].values)}\n", + " la = tf.constant(data['direction'].apply(lambda x: 0 if x < 0 else 1).values,\n", + " shape=[data['direction'].size, 1])\n", + " return fc, la" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2min 47s, sys: 3.63 s, total: 2min 50s\n", + "Wall time: 29 s\n" + ] + }, + { + "data": { + "text/plain": [ + "DNNClassifier(params={'head': , 'hidden_units': [500, 500, 500], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': , 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(input_fn=input_fn, steps=500) " + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'loss': 0.6852374, 'accuracy': 0.54971856, 'global_step': 500}" + ] + }, + "execution_count": 129, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(input_fn=input_fn, steps=1) " + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 0, 0, 0, 1, 0, 1, 1, 0])" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred = np.array(list(model.predict(input_fn=input_fn))) \n", + "pred[:10] " + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": {}, + "outputs": [], + "source": [ + "data['pos_dnn_tf'] = np.where(pred > 0, 1, -1) " + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": {}, + "outputs": [], + "source": [ + "data['strat_dnn_tf'] = data['pos_dnn_tf'] * data['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.805002\n", + "strat_dnn_tf 2.924040\n", + "dtype: float64" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['returns', 'strat_dnn_tf']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data[['returns', 'strat_dnn_tf']].cumsum(\n", + " ).apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_14.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [], + "source": [ + "model = tf.contrib.learn.DNNClassifier(hidden_units=3 * [500],\n", + " n_classes=len(bins) + 1,\n", + " feature_columns=fc)" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [], + "source": [ + "data = train" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7min 10s, sys: 13.4 s, total: 7min 23s\n", + "Wall time: 1min 18s\n" + ] + }, + { + "data": { + "text/plain": [ + "DNNClassifier(params={'head': , 'hidden_units': [500, 500, 500], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': , 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time model.fit(input_fn=input_fn, steps=2500)" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "data = test" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'loss': 0.8435978, 'accuracy': 0.48311445, 'global_step': 2500}" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(input_fn=input_fn, steps=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [], + "source": [ + "pred = np.array(list(model.predict(input_fn=input_fn)))" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [], + "source": [ + "test['pos_dnn_tf'] = np.where(pred > 0, 1, -1)" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [], + "source": [ + "test['strat_dnn_tf'] = test['pos_dnn_tf'] * test['returns']" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.878078\n", + "strat_dnn_sk 1.115826\n", + "strat_dnn_tf 1.071912\n", + "dtype: float64" + ] + }, + "execution_count": 143, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[['returns', 'strat_dnn_sk', 'strat_dnn_tf']].sum().apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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2xVLtxFhfn25siJesmrIlSwhLoosPBZNci/mEbMnKZR1IIrImEfIXrcoxJamgXIVdavhJrFkEwuQhYlANm6EYUKCIyJrgiLxk3aGtapyVc8UKAED/urW6sX4uAACws1YIkQhC7kPSAZ5HtKd7DGY7PBjZXUgsWYSxQBZZtEHF3sp4V3VSK4tAmDwk1s4DpBZbZsaEKE9E1oQmLrIoRm32bCotBSDVy/Jt36rsP+xpgMNkR7mtDKEjbojRKChLPD7ryJExnPTQoGnZXUgsWYQxQBVZyX92xZJFRBaBMGn4pHWTsv0fs85Vtk20CVxCyRfCxELk48JDI7LYklJlm2tvV7Z9nA+VtnIwNIOYxwMAsC+Q+gPyAf8YzHZ4qJas3IksdvAhhImCgNQiS7ZkdRN3IYEwKegNefBu81oUW4pww/LvoUpTN89EmzJurNsbkuJ3ymylg4wk5BMiL4loKoXIYhxOAFLcXkzkYWLM0mN/QDdW4HLbgBkAeL8flMkE2mLR7VdLOBB3IWEM4NNYskqsxWAphliyCIRJguwqXFK+UCewAMDMmDOKyWr2HsddG+/HXRvvz8ocCVkkXtaAotX7AWO3q8fjUSVyIU8LIyVEcO2t0uNpUhNmMcciK9rXh4abfoiWhx5ICsIvtZaApmg4TY4czY5YsiYV8heQMRBZNEWj3FaG7lAPRFEcF53WCQTC8BEhXQ+MYjTNNIv+QURWfX8jHt3xdFbmRsg+cuC71l0IAKaKCkS7uyHGRRjHR8HGRKz+y2b0nVuJcFMjKIsV1hm1AAAhkhzXN5b0vPwPAEC48Sg8776D0vO/rBz7/LTTcHLVCthN9lRPzzrEkjWJkE2mRpYsQFL9oVgYHMkqIhAmPEqMpsFtwMSYwPHRtOn5bk9y+xXC+EE0CHwHgIqLL5U24scjPIeCAA+rLwzvpo3g2tthra0FZTLpXidXhBoalG3Pu+/ojlEUlVOBBRCRNWHoe+dtNP38TvDBgLIv1N6hS68NReO1Thjj1gjmuDmYZBURCBOTNn8H7vjsVzjYe1gRWUZWaxNtgggxbSyLl/NlbZ6EMUB2FyaILDCSLFjT8D7ebFiDQDQICyeJba61BRBFWGtnArKbMYfV1CPHjyPW16s8VoL58wgisiYAoiii59WXwLUch3/bNmX/jmuvR+NPf6w89kclAeY0G/unSRFCAmHiIooi/nroZXgi/Xin6QOlOLGRZVtZcKW5FrT7O5NePxW8wGN/r5ss4PIIPigVnqZYfdQQFS97EI6GsKZ5LZ7c/UdYonrxYqqsVMYhR5l7QfchNN9zp36nkFurmhFEZE0AuPY2ZVtryUokGk/JNtNmw+OyyCLuQgJhYhGMhnDjup+h2XscADDVWQ0xnm1MwdiSBQAcb1zG4VDfETQMNOr2xdJYvT5u3YCndv8JrzW8Naz5E0afwL49AADb3Hm6/bJlixaAlZXLEBViMEf1Apq22RRLVq6sR76tW5L2yZXo8wkisiYAgb17lO10QYiy6Z+hjf/sJuIuJBAmJPt6D+oKMgoQ01qyuPg1wB81roH0211/SNoXS7M4k8Xd/l535pMmZA0xFkNg106wpaWw1M7UH5RFliji0vlfx89PuRWnlizVDaFtdlB0XJznyF0YqpeKoE7/2R05ef9MISJrAhBpblK25e7pWtN9tKcb7X/4HeigpPLl2iGJmIm7kECYkDQONOseczwHMU0HiH29BwEA7zd/nHQslVswmqZ4qVKvKA/dOZOR0JHDEEIhOE9YmRSTJ5d0MIGFjbWhxFqMuZYa3RidJSsHIosPBsC1HIdt/gLYZs9ByXlfUueVZxCRNQEQo+rFTYjEzaWajI+uf7wA3+aNmPv+AQCpswtNGcRhEAiE8YeRyJItWZTB9eDC2VIafLGlMOlYd0gNNLazNpxUJfW7i6ZwLQIAS+e+KCRBJXxM+j4kugoBgI63yynkTcq+ntdf1Y1hbLacxmTxASksRm4DVPFfl8AyozYngm8wiMiaAIia1aEQjluyYqpQouOptgUdA9LjFCLLrMRhEJFFIEwUwrEIWgMdun0RnlM7QBjcBk6oXAIAGOC8SccCUTXuk6EYmGgpcDqdu5ChpDHEkpUfcK0tANSColpiRVJiVFFIY7FMKNNAWayamKyx/5uK8fuctrk143BCjEQgRKN5JbaIyJoAaL/kvs0b0fncs+CDIXVfPEDQEpQugonFSEVRhCgIJPCdQJhgtPk7cMv6O5Ma5EY0liwjd2GxpQgUKPSGPEnHwjE17pOhGbBKmEEad2H8hhwTST/EfCDS0gLKZIKpckrSsX4qgghLwRGQ/lZawTLjrntQdfU1MFdWKm7FSHNz0msMl/CxZhx/8D7EBvrTjpMD3Gmr6h5knJI4bPif69H25OOjNqeRMmjFd5fLVQXgXgDL3G73iSnGfAHAQwD+6Ha7n9DsXw7gegCNACoB/MjtdpNf2WiTsJIYWL8OA+vXGQ6leTHJktX21G8R7eyE6ZoLAJDAdwJhorCpfZvhfn1MVvJam6VZFJqdGIgMJB0L8WoGF03RsDFSv7hgLAhRFOGJ9KPUWqJ7jvwexJKVe0RBANfeBnN1ja6ljkxEiMDnoFHik/7OYlS6H9gXL4F1Rq1S6R3xwHdtLcbh4t+5HYF9ezHw8ToAQM+rL6Pqqu+lHM/7JQsr7VDLEVnrZsO3dQtEjkNg9y5EPR6YSkpSvcSYkYkl63QAbwAGeb4AXC5XIYBiALsS9lMA/grgTrfb/SsAPIDvjGi2BEPSmWsLT/+c7nHZQCzpohrYuQNcWyssXsn6lc8xWZ+0bsQxX0tGY32cHz4ufzvEEwjZhonHzVw09wLdfikmK3UxUgBwmBwIxkJJ+8MxVWSxFIMyWxkAKVbr3eaPcOeG+3Co74gyhhd4tPkldyUvCni/eR329UiB9W82rMHBvsPDPT3CEPF88B56Xn0ZYjRq6CoEAF4Q4LczYMIchHBIyVhPbL6sxGQB4H0jK0zb9uRvFYEFAHwo+XunJdYvWbrYYlVEOZYu143RljbKJYOKLLfb/QqAlJ+g2+32xsckUgfA5na75WCAzwB8ZVizJKRFjEWT+k/JxDx6c39RQEgdk9UnCZJ0Zv9c4gn34x/u1/DA1sxMwT/99Bf46ae/yPKsCIT8xc9J8VOLSl26/RE+AgGpSzgAgN1kQygWTnI1akUWTTOosEnBx+6+erx5dA0A4OhAkzJmfetGRUiJEPF6w9t4es9f0BnowprmtXhi1x9HcIaEodD9jxeU1jPmqSlElsjD55C+E9G+PiVjnTbrRRY0VrCGm29A/U0/RF9CW5tMMMpWFUIheDdvhGftB4bPUUVWsbLPPEXv+tTGJeeSbDaIroRenHnj+walpMQOljUWDSOloqIgK6+bK6IDAzh89GjK45ymvAMAMCKl+wxEUYS8jiwMhQAGMNvovPycfH19ynaq+Rntz8dzGS0m8rkZMdnOFxjZOXNu6QY5s7pK2Wc32cCJURQUSDfNAqfV8D1KHIUQ+0U4ilg4LapbRuxQLecziqvhmlYL7AS2d+1W51xcrLxm65FWw7nt8e5Vx1cUIMbHcLjnKOaUz0wp/CYiY/md1toMKxfNQ4nBe7fGrPDZpfuvua8Djro6AIC92KmbqxCNQtu9UvD7wTfWD3o+icej3uTkisjRBnQckqydc7/x1aTWP/1hafFQWTcVNs3rtcyYjuAxqSZbod2Esjy4XmRTZHUB0J5hYXzfoHg8waxMqKKiAN3dE6vflm/bdmWbYlmIMb0Vquyi/0Ln//1FeWyjzOhs60XrY4/CPn8BGI1Pm2vpBmqBTk9fXn5OzT1qG4+2To+S1SSj/ftqMyRf2/U+Tp96ythMcgyZiN/ndEy28wVGfs69vn7QFI3AgHpdcLIOdId64emXLNfBQNTwPVhB6gzR3NGFSnu5sr+pRxJNp9WcjK/OOh8xPw2WZhHTWMB7B7xo6+iDiTGhiCmGEYc61MVhd7cPf3f/E5+2bsJ3Fn5TKQsx0cn2dzqwdw9MFRUwV1Xr9jMFBYiUVBm+t6ffj9ZKKZnhyGNPwL5gIQAgIlBJ4x0nrEBg5w7lcSQUSXs+RucbOtqYNE7gOGW7zd0Ec4XePuPvkKSElzfBr3m9iiu/h+Z77gIA9Pf6IIzh9SKVuBzWcsHlcjlcLlfFIMOOAgjFA+cB4DQApKfCKNK/bi28mzcqj2c98BBmPfgwan/xK5Sc9yWc+so/UPS5M3XPcdJWRDs6EDp0EL2v/xNdf3teOWbu88HKWPFRy6do6G8aq9PIGG1D2l5NrR4jgjFVqP/d/c8klweBMFFpD3Tirg334ZivBf6oH06TQ2cZKrIUQoQIX7wUg1F2ISBZvAD9bwkAOgJdMDNmfNP1NTjN0msXW4p0Y948+i5u+vh2rDv+WcrfXn9CeYhtHTsBAMe8mcVcEtIjhMNofewRNN3xMyVul2JZWOvqUPfwY7oFthZe5NFWaUbXFV+BuboawQP7pecmugsBVF1+ZcKbDv06G+1Jb3uJdnYm7Yv194O22XQlHADAMn0GplxxNYD8cRcOKrJcLteZAL4NoNrlct3hcrlsAK4A8L+aMTcCWArgPJfLdQkAuN1uEcC3APzS5XLdBYAB8H+jfgaTFFEU0fXX53SrCLaoGKbSMlhqalDxX5co9bG08VoOyqI2BjWZdK8pdPfg8oUXQxAF7Orei3zDqwli7wz2pB0biOpvDA9tfxIbU2RaEQgTiUN9R9Ab9uBQ7xGEYmHYWH0V7GKLZFmSFy1GdbIAwM7aAQCBqBqELIgCukI9mGKv0Ak3Nl7RvTweBC/z8pE3FJElC7HbTroZANAR0N88I7xkvbCwyTdzwtCJDaiZob6tmwHEyzFQtGFWoQwf/3vFZtag9u7/xZQrvwv7osVwnpBsXWQK9NabxCQs75ZN4LoHEVFd0nHZYgYAjqXL1OPdydmL/MAAmMKipP0AQJkkD0eiVydXDOoudLvdHwNI7K3wZMKYxwEkRSO73e5dAK4eyQQJxshptZkw6/6HcPz5PyG2Zx/mrzuClnX3AwDKvnohel59GQBgratDuLERNRbJLZAoUvIBrSWrK5g+bVhbMBGQeqc1e4/j1OpVWZkbYXgIooBgLASnyXhVTRg6nrAUFOyJ9IPjOZRa9e46uYq7nHlrVPEdAByyJUtzLegNeRATYqiy6903suCSCxprCfNSXNj3lnwb1Y4qWBjjBvViPBDfyhCRNRrwPtVSGG5qROEpqwFBSIpv0hIVYjga92IwFA2KYVB02ukoOu30lM+puuZaQBTR8ac/6ERWpK0VHb9/BhTLYu4zqZMb5BIQzhNWIHhQ6kpi0rgHhZD+XiQKAviAH+ZqvQtUhmLjImsI98hsMnmiCycYiV+8dJhKShA9YWHSfu0qxFwzFRBFWPql1/UniJR8QCuyXm94Gy8c0rd6ONLbiN6QFBwvr77trHEvK17gk1bShLHn7cb38ZNP7sFxn3FwtIwgCrjno0fxbtPaMZrZ+MUTkURWX7gfnBCFOUHUFMVFlmLJSuUujFuytGUcOoOS1aHKoRdZs4pmAAAWlc3H8orFumOHPVJ4NEuxKQWWlgKzc9AxhMGJaQLKhUBQLSpqYMUSRREHet24ad1t+KjlUwAAZVy1KYnCk05B4cmnStYxjbtQzmwfzKIU7e4GKArOVScp+7ReFrnwqDK+qwsQRTBFqSxZ0nO17eZySTYD3wlZRBikjkgiMVpA4hqTttmVbXO11ACU6u4DSzFo9bdDFMWUNXRygTci3RSWVyzGru59cHvqsaFtC7ycH+fVnoXbP3gQAPDk2Q8qlqwqxxRdOjkv8GBoBi8deQOftm7CDcu/h/mlc8f8XAgSHx7/BADwwbGPceWi/046ftzXhhfdr8HCmHHIcwT7uw5jdc1JaW/E645/hl3dexETYrhu2VWwm+wpx05EPGHJTSRbe2WRddcpP4Y34sVARLr5qiLLeK1dYHboXgcAOuIia0qCJesbc7+Kac4anFpzEkw0i8d3/h5dwR54Iv3oirv202UMaoPmM725T3QEUQAvCnivaS1OqFyKGmfV4E/SoLVk8aGgIoASLZc9oT48tP2JpJqChz2+a+2XAAAgAElEQVQNQ0sYYhidJSvWq8bNet57FyXnnmf4tGhPN9jiErCFhTDXTEWsv18nzISw/l7n3yGFfTgWLzV8PYqNi6zxEpNFyE+0bXMyGm9NNsGzhWrzV/MU6Qcc7erEFEcl+iMDWNfy2cgmOcr4OB8KzE58b8nlmOqshp8L4G+HXsGbR9ckBdfK7s5Et4bci+3T1k0AgCbv8TGYOSEVi8rmAwD29x4yPP6bHc+g0duMQx61uOUnrRsNx8q8fOQNHOk/ikbvMXzaunn0JjtOkC1ZXSFJ3JRbpTpWU+wVmFsyG864QJUXLXQKUVPtkK4JfWG1xUlHwNiSZWbMOGPaaiXj98YTrsE9p/5E5wbWWsxMCW7FkKb2FklSkfiH+5+4ad1teLvpA/xyyyNDei4fCqHreTUEWghqLVn6v/dr9f82LNr8xdqzhvSeFE1DFAQE9u5B25O/VeLAAKD7pb/Du3EDACDa14u2p59QYq2EUEip3F571z2Y/chjuoD2REuWb+sWgGEMY8QAjbswT2KyiMgapySq+8GIOa1J+8zTpqvb8UJuXGcH/nP2lwAAa5o+xJaOHUnPyxVezodCs+TidLB2hDXtPXjNhflg72H8K14UMfFm0B/RZzRZSZBtTpFjeLQ3WZlQLKz7G8s0D0EYG1Usn8jwAq9YqmQSLSCy8JEXHKlisqysdM3geA7vN6/Ds/v/jhZ/G2iKRkVCgLsRDM1gebzRNKC3ZCVaIrs12cJy4+rJzP5eNz5rk3rOuhrD+P4r3Yhq6gQORvhog+4xHwgoRUW1MVkRnsOu7n2GrzF1iJYzMAwg8Gh97BH4d25X4qtqbrgJtN2Ojmf/BM/2Heh+6R/wb9+Gzuek0kIix4E2S9ZWimVBsSxKv/wfKDxN6lYiV5yPtLXiyHXXIHL8GByLFqfMjiSWLMKoMJSYLMBYZDE2NV7JVFEJUBSinZ1YUDoPFsYMfzSA/zvwD8OKvGMNx3MI8xFVZJn1P7A/7/+bsv3EbjXIMlFk7ezag9/vfU55bGOSPxfCyMn0O8OLqntBW0k8HItgc7tUA+4LM/RlSLghdCQITTKR5eV8SgC5TI1DHyBcai3WueRSufFYigFN0eAEDq83vI2tnTtx3NcKV8kcsHRmkSYrK1WXjvZ95hbX6ca1BzqUbSEPrje55qndf1K2z9/ohZUTdeV6BqPjj78HANjmL4B1Vh24tlY03HyDdFBjUZTLZhgx1IKwFMMkWZ0AwLF4CabecBMomob714+Aj8eK8cEgRJ6HGIuBMutj9WizGZXf+jYAILBvL0IN9Wi+63aI8fpZBSeehFTQJhL4TkiBEA6DD2QWcC7HZFV++4qMxsdShDlMv+0uTLv1Z6BYFqbyCnAdHaApGnOLZytj8qHNjly+QRFZCXE2e3sOGD5vmrMGheYC5YKx9vgn2J1i5UYYHUKxMH740U/wRsPgLTa0Fsifb5Ji6vrCHjy1+894+cgbAIDFcZeizGFPfVprlva7EZhkIkt27WlFVI1T327EbrKj2qHuSxV3SVEUzLQJ4VhEtz9R9KZjjkZMaW/al7q+jkvmXYgvz/wCACn+R0Yk7kJDAqHMC2vKLrOiz52Bsgu/DmiEq9aNtqlDX9bm8c/fh6sWXYarF39ryPNjHE7EDKxtFMPANnceClefDj4UQrQvbrUUBIhRSTTR5uSECMUiFYng+H33KvtNlVPgXHliynkoge/EXUhI5OiPb0bD/1yf0VghXuuKLSxAxX9/CzU33pxybG+oD3879LJuX8HJpwIAbHV1sM+T+pqZKirA+7wQOA6LytReZxFef5HNBf0RKZhXFln94YF0wxUKzE788rTb8bMTbzI8HssDATmR8HF+/Gi9VHH5veaPBh2vjb/xcX7c8NFPceeG+9AwoFaBnlVUi7qiWt3zHtz225SvyWsynDyaeKLJgByPJYuoUmtJUp0sQPpMZdIFmlc5pqAj2AVr3OJ7ctVKuErmZDwfrbDSvo+JMeGMaasxM56VuL1TbcnDE5GlwPCqOPL3daQZqcdUUQFQFApWnqirPwVAsQYNRHw4OtAMV8kcnDXtdFw2/xtgaAYrpyzDikrjoPJ02Fzzk/YVnHSyOqcyycXMx/sOioIAISLNxajQaSrxP+WKqwxFmfI8pYRDflzbicjKI2TrlJhB1Vy5QSZTVIySs78Ap6Z4WyL/rNcX2neesBJVVyaXL6Mt0oVU5Dgs06RhczyXNHasOeaTqkBPdUquj1VTlqcbrkBTdLwidaHh8ZBBzA9h+GgzOTNBEPmEx8nffZZmcf2yq3H3WTdjVuGMQV9T64LsDWcexzLe2daxU7EeyiUVUsXVaDNq07lUl5QvhCAKCPNh1DiqcPnCS4accXzrqhvwtTlfQYk1ub3ONKeU1ax1cU52S5b2N1AZUOOnQsHMLFmiKIJrbwdbUiLFOCWUbJBLH4TilfwrbGX4xryvYnVNahdcJhStPi1pX9VV31O22ZISaX5xC1PM41EEXzrRlIiprDztcdkC5t34GQ5/9woE4hXrcwURWXmCNobFyK+diBwEaSotHXRsYq0ox9KlitrXQpmlL6fAcSiyFGJ1tWSSzYfCpLJ7qLZQCtZfNWU57j/9Llyz5HIsLV806POZFDEkH7dsAC/whscIQyexvtq+noMpx/ZHBgwD3rX8vxXXAZCCsBdVzsONJ1wDQLVoJsILPKJCFNMLpqKuqBY+zp8X7u6x4C8H/o6+sFSbaGGpCybahPml8wzHamtZGWWWySwtV60gmdS4MqK2cHpKF2OhuQA2Vh8XKWByx2R1x0teUIKIQk4VtLFICOFjzbpK7kZw7e3gfV7Y5hj/7Ssu/iYA1WLI0KmLkw4F66w61D30KKqvVb0x2vuMKaH/oBAMKD0KKUuK71ZcIFpqZ8bnfqliEUtF4r2t9ZFfZzT/bEHqZOUJsvsPAHifD4w9fW2fWF8vwDApWwtoKbMlCLFUMRjx1YTsJ6+0S+0pB7jkLuljTZP3OOysTclqoigKBWYnllUsxrKKxbhzw33KDcYIue1HIn1hD9oCnZheUJOVeU82/JxeZD295y948uwHk8ZxfBS3f/ZL5fFZ005XiiBqmV08U/fYzJhR46hCW6AD9f2NmF00U2dZ+d1eKW09FAujLG71jMQiMJkn16Wu2lmFX59xT8rvPU3RWFK+EHt7DiRfH7Sv45iCcmspesJ9SUVNRwOKohShXWgugJfzKZmGoijiz/v/hlmFM3D2jDNG/b3zlRZ/GwDgi5t8WNCkLkIYfxjHfnE3aJsNc377dMrnh9xSORTb/GT3Xd0jjyule2SL71AD3NPBFpfAuWIlis48C44lepdjYpNqQMpmB1Jbsmbd/xBEPga2qBhCOKwrO5SKxHZxgGS4SOxzOFYQS1aewHvV1Um0N31fPgCIefrAFhen7UElk2R+T5G9Q5viIiu+upArQyeWPRhr/NEAekK9qC2cntpPb0/uV17jUF0l2gvJPE1QPwB0BdP31iJkhifcr5TOGIzE0gxfm/OVjN+nLZ6J9uiOp/H8wZew7vhneLvxfQBqva1pzmpY4u1Z8iGmcKyxszaYaData++KhZfiumVXJ1Vo10JRFJZWSJbibIgsLWdNOx0FZgc+bd2ET1o3gROi2NG1B6/W/zur75trRFHEK4f/pXx3W/ztAKATWABg75auw0IolNQjUEs03ivQoinRU3nZ5Sg4dbXS5YMXeNT3S3GPTAohPlwomsaUb38HzuUn6PYzTifYhF6HXKsUBmIUkwVInhpzRSVoszkjgQUYi6xcBsETkZUnaFsgyL2cjBCiUUTa2hDr74epdPBaNYA+RiUdsiVLNuEWmePtN3IssuQCiHL8hhGJRUcB4Eerfqhsa282FtaMX552O65ceCkAoNXbBS5KXIYjpd2gTVGJJTkOB4DORbugdB4YmsF5tWcP6f2KLUXY3LEdLx95A281vg9BFEBTNKyMFZe6LlLcW5E8iCkca1K1k9JiZS1YVOYa1JIhuwyz3VNwScVC3H7mjQCA+v6jup6JE5meUB8+avkUT+3+MwCktMiznCoUoppq6onIGeqMQ61FVnzW2ai++hp80roRm9u349X6N/HqkTelcaMsstJhq9Ffw+VMQ8Y5eq2UKJrGjNvv0u3LJM45W0wuG3oew2tFlkHXcZm2x3+D4EEpkI/NIB4LMMjWSRHyQCvuQqm+SJFFWnXk2l0ot/8oShG8DqgB8VpSxZDQFINiSxGmF04DALy94yAObC7DT7+1chRmO3mRxfzX5nwFr8WTLVJZUuQ4KQtjxg+WXhnfl1ldmxuXX4POYBcYmtH1r+wL90MQBcwtmQWn2QFHvOjmK0f+hTJrCZZVLMbi8gXDO7lxhIUxj1qcDQDMLp6FC+rOx4IstZ86t/Ys7O05gCn2Cjgc0i1pW+euSSOOE7/3qcrRaGn/3VOYdvOPDMUJH5Bi7IyOvXj49aR9o+kuHAzGrhf/csmH0RRZgBQfNvWmW9D+zJMQwuG0lr9sQyxZo8DengNYM8LGtTGNuzCWwpLFdbQrAgsAoj2DuxWBZEtWYrFCGcokW7Ik94osahIrSI81ssgqTNOv7qSqFfjy3LNw66obBn09Jn5RKbOWSGnlliAOtwzAH8qP4nXjFVk4sRSLH6/6IUw0q/SQTET+Tp5UtVIRBHKF8bJ42YGzpp9u+FxX6RycMW01VlTqM2rlht+yuJIL0bo99djQvlURfvnMto6deGLXH7GlYwfu+OxX6AsOvQSFUcmGkUBTNM6febaSdDLa/OfsL+GOk28BTdEws+rCKBOxMRHQJn+IoogIz8EUVRfGtvn6hUFHhQWR5iY03X07+t59B1xHh64avBAIABQF2pbZ92AsLVmJ8cAxT1xkOUa/Kbhj8RI4T4gvnPncuQuJJWsUeGbPswCAL8w4I+NKyInoLFkpxFPzz+/UPXYsXmI4Tqa+twleXzgpLT5VXRw5u1DkJLFhZaww0axSCDRXyNlPBSkyygApQ+aKFReju9uHW1Zen7biuLxyY2kWNqoAAWsQgIgNzXtw+uwFk66h8Ggh1xxjaQYzC2egrmgm3J56xIRY0u9CGau5wJ8z/XMIx8L4/LTTUGwpGtQak5iVJrsrC0zSBVtbcBOQ3DCySzFf8HMBWBgzTIz02/vLgb8DAA72HQYA7Ok8iEXO1DFTRmTiKsxXTMO8fo5ntJ6CP+37KwDAEZKu2da6Oky98WZ8dO+NmN4mibFXzirEiQeCOHnfAHpefhE9L78IAJj3x2cBSO5C2mbPKF4XQMqFUDaY9vUL0b9jJ5yrToJ/2xbVkpWiRc6IibcQEvncuQvz52ozARhJYUutJSuVuzAxeM86q85wnMxtHzyA+7c+ho+O67O2aLvxRZhOyC6kKAosbco4pitb9MSzjUqtJRmNryuqTcpK02LWNKelOAcocwSmGYfwRtuLWNM8MovkZCYWj7OSBZXcI+93e/8vKb7m3XihUq34srJWXDT3ApTZSjN2d9284gfKSvzoQDMAteJ7pSYZYmXlMnBCFL2h1BmoYw3HR/GTT+/Bw9ufTDnGwg492NxuGr8ii6IopWm4jFFSy0RCWzB3Z/deAKrIsi9YBNpsxtrzVCsiz1LYtNSBWIqfiBiLGQZ/A8ZZ1lFx7Kw8RUsWY+7v/qQUKZXLFdGj7C6UoRhJ4hB34QRhJPV4ZEuWdVYdeL8vowbQ2kafmcBMmwoAMNdMM369hMB3AKApKucVmDsCXTDRJpQaFDMcDmWa5rZ8QLKOsVXSDbozQDINh4scWyJfyE+fejKm2CtwoNeNA3HLjMzR/iYAwIxC4+9ipswpnoXLF1wMANjTI7nSK2xlqG8dwB/eOIgTypfi5KqVSpmCnmG437KFnGF53N8GXuDxVjxDUjcmOvTMyNF2F4411y27Svd4uN6B8YJRV4JKXvobMvGMulJrMZ69oBTPXlCKM6auxuULLoFAqx4JbW0okY+lvDcIEFHlmIKVlcvwk1U34qt15+M/Zp07mqczKBTDJJVsyJYlS/kciMiaGIzEksV7vaBYFpYZUqXmaHcG8VYJP6SOQKdhxexKu1Qhd+att2P6bXfBUmOcpadYsnQii06qyj2WCKKAzmAXquwVo+bmkWttiaKIQK/eBcnSxitAwuDIWaClNsniOK9kDi6edyEAoM2vbwkiQMAUe8Ww2nck4iqdi8Vl87GsYjHOrT0Li8oX4FfPb8c2dzemh8/A5QsvgRnSTeuFj/Knb6X2t/rbXX9QylBoeXrr80OOibROsKbn+dCgPpv0hT0o9sZw6wq1iGc0GA9et0viY0XlMgwUsBgoYLG8YjFOrl4JMKqwoiyazE9BUCw4WkRRhCAKcJrsuGrxZZhROA3nzTwbBWliXbOFzojAMKBtWQrRiFvExRwWnCYiaxTJNDvKiJh3AExBIdiSUuWxlvCx5qTnaH3u7zR+gP/d/DB2dO0BoL8w0aDhMNnB2O2w1aV2McqB73J2oSgIMPMUhBxe5PrCHkSFGKoS4mtGQoWtDDFewL83NIEb0BdzlVuMRPkoXnS/jq5gZskFBDW2Q+vWlbM+2wLturGCMHqxUQVmJ36w7Cpcs+Ry/OfsLyEUVsWLNxBfMPDSd7vDmz+WLK3IOtJ/NOW4zR3bh/S6Nja7pRbGEhPNGi4cJxJswzF85999sK35TNln4aRzph2S+JhdNFM5Vi4vEln19yNGVIunGOOTFuCAmvBE58Ft375Q7dLBFhUNuVVTppjKKwCaVuqD5YLcf9rjHK2YGa67UBRF8F4vmMJCQ2sSAHQ+92zS87Qm4X83vgdAbT8T01ifYkIMpgwsNLK7kOuQbohdL/wV33q+AVZ/7oo5Huw7AgCjmtkU8lmw60gPXvukEYjpzdayyNretRvrWzfgV1seHbX3zXeOtnnxhzcPIBpLv+pr8h7D07v/jLAmK8rPBbC9S2rya2fVVWmB2QmWYpIqwfOikLWspj+/pbbykUUWHRdZFMspi4ZgOJbTjNJU4uG2k27GD5d9d9BxqbCy49OSJUSj8B44qKtpZGWtEDCxRVZJg2QB9n66HnecfAsAYJF9FgCAsUmWLG0SR4lVWhh669R9YiyG3rfeROPtP4UQCYNikl2s8vcoHxI/GLsD9njiVqwve/1Fi8/5AmY/+tuMa0pmg9x/2uOcRDEzHIRwGGI0Kin6eMCibE1SxgQMMvziImsgojYOlatcxzRWtWAslLK9hhZr7UyYKirg3fAZfFu3YGCdFARe1pn9ooCecD+uX3urUoVYZne35N7JpD/hYJxWehZiPTV44Pm94DRCgg2qhUwHwkE8+85B0KL0dxiJdXK8ce9z27Bxfwc2HUguKqrl19uewL7eQ9jRtQfHfW045m3BHRvUFjlmRi/oWdqUtADhRT5rF/s9DWqhRi4m3ViEaFxkmTjsbehF70AYP/3dRtz42CdZmUMmpBJPU53VusD/ntDQbkK2ceou7P7737D3Z3fAt2kj7jv9Tvzv6p+BBp1TS3q2icQ4UBHpGkPbbKh2TMFjK25DZYNkQafj7dVMjAmzi2ZhbnGd8rvp/uJK/OuMIlCuOQAAz5q3Ee3sgMhxhjFZ8ueYDyILAMovvAgAFLGVDSiKyl7mYoZM7IjCMUDbsmO4liy5pQ5TWKjWqorqLVlMQWFS1qHsLpTbMWjns1fTmDcYC6Ekg6Bx2mJB1VXX4PgDv0So/oiy38Rl359954b7AEitUn552u34+6F/ghd5uD31mFEwFWW2zDIL01EtLkX0qCRCeUG9cDttJshOpEAkgvW728GWqebrfEv7zxosB6awF9FoctHJp17fh1A4ilu+qbbKcJoceHDb44NaWliaSVqACFm0ZJUXWdEzIFnZ+rzS/zwXF34mDo+9skc3PhCOwmEd+1g8+XOzsValVtK5tWcBAKYXTIXT5IA/GlDqf2WKdZy6C72bNwGQQiMqV58GQBIEmcRkRXgOL7pfQ1ugA7esvH5clIIINdRjoLsZ5qh0fnJrmZaHHkA03tOPcahW4f+38ge651usTjROs4DvN4GG1G5HwaB8g6D0KsyOa26oWGfORO3dvwBTNDoJTflK/n8T8xxOU5V4uFYPuas6W1ik1qqK6F10Rr2X5NVKvSaeozPYjTVNH+LNo+8CkDKNvjTzHNQV1WY0F7ZMignT9lJkI3qRdczbAl7kMSvD18wEbYHU+7b8Bn5N7ZZlaXqrDYXe+I2XAhDjpfe76Mw67BYPoT/u+YrRQbDTD+FgWwkQLzDP8dGs3rjCsTC8nB8VtrKsxSYYwQsC/v7BEZy6qAqzpxbB4toK2uFDBz8TgOqeberwYtshyaWhveF1hXqSBJbZwC1tok3wRwN4o+EdTLFX4KSqFVm1ZPGCiIpiyZrT0CbNPRoyQxQosLYQ5tSW4GCzWsohFI7lRGTJWbtm2owQ1CbJgCS8Hvjc3Xhk15No8rSA47mMeweOV3ehGImn81vV3xpFURm5S9e3bFBi13pDfUoh2nzm+H33AgDmKHuk35YcrgEAjDN1LJF8TRJMapSVeeo0cK0taS1ZVB4tGC3TZ+R6Clknfz7tcYq29UNMiEEIhxGJN73MBFEU0fPKSwAkS5alWiqz4Nu6RT/OIAVVXvlorWn7ew8pAguQ+o6dM+OMjAWRHCCofX9LWC/wHtj2OB7a/mTWsn780QDmFM9SHo+WyOoZkFZ6ZUVWtHVLIq6q1I5Vxat140zVTegv3Kk8bgu0j1rwbU+oT1czqjPQhVvW34V7Nj2ITe3bRuU9MmXXkR6s3dGKXz4v3Zxoh+R2DgpSNhvHRxGKhfHJHvWir7VIya7cuqKZ+OHy72J5xWLctOLapPdhaQb+aADvNX+E5w++hMaBYwAwqq1ftPC8AIamUVYoiY2nXt8HXzAGMeyAxRnCpefM0Y2PxHIT8yN/p0wa92piFfsFFXPBi7zymWVCYpHW8YY204wGlbJDhUyE57Ctc5fy2Mf50ozOX7QFqWW0pRkSUUJDNAHw1d+/Tgr0tquf4TFvCyI8p8S2MXkksiYD5NMeIYnuwmP33Yvmu+/QtTlIB9fSgvDRBgBxkTV9Omyu+QgdOQzer8ZhiQZtAeR+T+mKhbb621MeM4I2Ja+W7UFjN2hboMNw/2hwctVKnDH1VHy17vykyt3DpTfuOiqwm/DhDkkIMwyNWmctQlvOS/m8h7c/hXebPhrx+3M8h7s33o/7tz6m7KsfUGPQ+iJjm/nW71cXCBFNg2zZlvaHvc/h3s0Po1+T+BCOqt+FowPNoEDhu4u/jQWl8/C9JZcbJigkJl3I7q9sXexjvAiGoRDSuLnX7WyFGHYgIkTgLBQwZ5qaVZoq0F8URWw71IVQJDvFGgXFkiV9PkXmAqVfqMzCCsl1W58m+zCRbDdyzjZsgdqjVCohk14Ev9HwDlr8bcrjkdQrzCVCKIT+9esyHi9bsro7pcxztqQUlpoaTP/xz1DxzcsAABvbt+GBbY/j3aa1itclnyxZkwHyaY8QnbuQj4KLW7EyKSYKqH0CAcldCEgprQAgxjTuR4MbgZwNyKfpMD4ca4FjqX41bQ8ZX7RGK/NOFMWkGAoLY8Ylrq/hvJlnj8p7AEAkftNtbFdXuiaGBsPQgEGrITqqBkx+3PJZ0vGhIhcd7A1Lripe4OHuq1eOC2NcyyWgyazb7laLsNIUhTZ/Bw70udEfGYA/orpuIzF9rODMwulJwiCRxGKSnaHu+Ptkz13I0JTiHpYxxaR53rnxPjgWbsOXTpWsxu9vbUkKruYFAR9ub8FTr+/DHX/cnJV5yt+DRWXzcanr67g9nlmmZX7FbFCg0pZ4SEQuvDoRYGhmUNHkjdcRO6V6FYD0i858p0uTRT7lyu+mHgg1wcHWL/0+zVOlwr62uXNhnjIFoijiH/EG6vt6D+L95o8B6MtBELIPEVkjROsu5APqzagrYNwaJxG5rQCgVvdF/OajTWUWeR6MswBsmZqKKsfvpLqorJ6xClcsvDSjeWip/sH1KDn/y8pjc0QAn0UB0B7oTLqQZlJyYqgYeTedNhMKbMbvFTqiuik5gTMcMxT6Eio7P3/wZaXsAaDPVB0LAnE3sMXMoM+rin1BBD5tU4VFIKZ+r0MxfdxhJlmfiSJLFpaZJGMMB14QwDJ0UnmGE2uWo9JeDoZicLi/AXBIWYgb93dgSzyj0huUSjz88d8H8cIHUvKHxxfBwWbPqLvH5T519f2NOH3qKUo7IC1OswPltlKl0Gsqjg40KduZtp/KJ7Qxp9rrntPkQCgWSnv9icR/mxU2qehyrjtUZIL2fAccNMwnrdIdt8yoRdFpxg3SZWYV1eLEKSuwyyV9b0rPO193PBANKteUVn871rduAICktkWE7EJE1gjRiiy0qCZrOo11SUu0S714ypYspVqvVmTFYqCdDky98eak10gUWZfN/wZ+ddoduOnUq5Vq70OBNplR8Y2LUffQo+AZGrQgwq+JI3LE6yAZxX5EovygdZYSMVqlZxrkOxSMUsELHWZMKbVj3jR9UdJSpgqCXxUBur/zMOkNqy7k3d37sLVzh+54NoWsEYGwJEKcVhZNgQZlf5SPYYumAGaIV//2kYSs16UVg4usRCul7NopsYy+yNp6qAsxXgRNUbjuwsUoL7LikR+ehj/95CxcfsZJuPuUW/GDpVcCAHaGP8TV/yHdcA4f78f63W246fFPsWbzMeyu1xeh/fXfd2LtjtZRny8AzCuZnfa4jbUhzKeuVdcR6MLD258CANQWjF49ubEk6lF/G9rq3HI1cn80dRkZ2boqu8/G+nc0HLQLcuuZn8OMK65B1ffUeMaIQfHpRKysBVcs+ia6Fk3FXy+bBfuChbrj3hSxaeM9Zm+8QUTWCNHGZB3do7qUeINsQCO4TjWuSa6JIqffyp3DhUgk3o+KNSwyF4qFda6XBaXzULRpFWcAACAASURBVGQpTBo3VNjiEggWFpQIDETUbEM5ELXMmuyW+MHDH+P2PwzNvcIZCJhsWLJ4PllkFdil9/mf/1qGWJfaR6/OtgBGLsSR0K/5DH+/97mk42NtyQrGLVkMQ+PYgBq71xtrRygWVnrgRUT1BhfWWLJmF83KKIurV1Pn6WtzvqJsZ8Ot86e3DgCQBOSq+ZV48AerUey06LI25UzbAc4HR6UHxU4zNuzrwLPvSKVQXlnXgDDHY9nsMjg1Vs6/vX94yAuIdMgi8z/q0veOs7JWRIVoSvEgN1AHMKbZqaNJrFc9B+3iUhVZBnUC4wRiQdhYm1ILcDy4C7Uiy2S2gjabUXjyKcN6LTNrQYBOPmcfZ/yZWbKwgCWkhoisEcLx6k2nokfjcslQZMn1UGpuvEmpe6W0yxEFRFpbUH/99yEEg6BYNikAvj8ygFa/lP12Ws3JWFQ2f1TdMDTNgBal9jYyciBqoosvFheFPQmxMINhdFFMLGg5GsQMrIts3Gpos7CINi1GxL0ScwrmYI5jYdLYkZIqtkQWlPwYB+z645asLk8I/Zr+eIF4duGMAilmia90K8e4eJHcM6edllS3JxX9nPraZ0w9FT9c/l0UmQuwpHzByE7AAC4q/Y0vWD0z5RgTY1LEXlugDeedNEMpWqpl+dxyXPVl/RwPNHmSxg2VVn877t74ADyRfswqrB00Nk0OZI+ksGZpA8OpUV4YjBXRFCLLaZLiIo0Ewz/cr+HfR99FT6gXlbZype7aeGjDI2hElnmOasms/v51AADnCSszfi0LYwYncBiIeHHYo8Z4psqyzMYClpAaUidrhGgvfAUBVSzwfGY1s/iAH2AYOJcuV/aJ8UKZwYMHEe1RY7soloV5ShVs81woPEUqO3B0QDUr//f8i4Z3EmmgGAZ0TNSJLDnmIbHApC+onnOMFxQBMxhGK3SjeksjJaaxZF134WLMm6EXo187ow7bDjlx48pV2NuQnB0a5aO6dPuhkurif9OK7+PX254YFZfkUAgqpTlEmOxqokZAlGLHFpcvgNtTD9oWACgeEBlE4osHdggJFdcs+Q729RzAN+Z+FQzNYEHpPPzq9DtH7TxkZCvTwpklOGVRVdqxq6Ysx2v1b6HV347LTzgbvQNhLJ9bjt/9a7/yPV41vxIUgGKnWcnEDI5CpuGm9m2K9ak8gyB12Q0W5iOwG8RtCZoSB+PVkhVpOa5si5pCwbIly0hkfdK6UdmutJcrST7jw5Ilnc/2+TacMU118RaceBKsdbOH1GvPTJshiAKeP/gSDvYdxq2rbkBt4XTsjJdYmeqsVrLM5xbXjdvvyHiFiKwRotwYRREFQfUmmqklS4zxSbVQArulGk1df3sOzhXqioZiGFAsi+m3/gwA8MqRf+my07IBzbCgo/qgbfkiliiylGa8AAb8HMqKVN+/nwvAxloNsx2NxMdIxEwq+Lil7ZKz52DV/GQ31wWrZyoWEIs5eZ6+qB+lzPCDio0CpxeXzcd051QUmgtwsO/wiIXcUJCzC5mKFqBIrSoeg7RwmF00EyeXrcbm3g1gytvAd09HJL54MFGZXzoWlbmwqMw1ijM3RhZHBfbB3SFF5kI4THa0+NthMTH47y/OAwDceNFSHOvy4/PLa5Sb0QPXnooPt7fipU8OIDwK3Q/kgqMADEVTIrIlq83fYRjUHtMs6MZbvI0Yi0HgIggdOazu1MZkmeIiK427EACm2CuUYtC7u/fjtJqTR3+yowjvk6y7fUVsUucDU9nQ+uzJ7r+DfdJn+OGx9fhK3bnY1b0XAHDxvAuxsX0rGIrBN+ZeMNKpE4YIcReOEOuBRtS1RFDs42GJqjdRo7pWRog8n1SdV5txqG2lI8dj1fc34ucbH8BHxz/Naq0qAGAYEyhRTTcXRVERRTEhhne3HMMH26RV6EBAtep5fOp2V7AbP/n0HrwQTydOxCgbyEzrb5RhLjak7K4+bxhP/HOvbh5RXsDMqgKcd9LgVYanV0oXd1ukRtmXKsbB8P3DHvxi00O6XoxG5zm7eBYYmsHJVSsRjIWwp+dAxu8xUgLhKEAJYKuaQFM0Lpv/Df3xATP8rdUAAOv0RtBF3eDiMVmJGYP5gCKyUmSLaqEoClOdNegJ9SIcU78js6cW4awTpupW+yaWwQHxA9hWrEVnqB2iKCIYzaxEixHaIPZK2+CJKXIF96f3/AUBgwDwkOb1jDIU85nmX9yNhhuvR6S5Sdmnyy5MY8nSUmmvULa1bcZySWygH/49uw2PyVXd+wuYIVmFjUhMEtrZvRfvNUt1/WysFbOLZuLbCy7Gf8+/KCsJRYT0EJE1Qma9sQUXrB/A9Lg3rd8pfaRCb2bFSOWAdt0+jRWM02QfUqz0Y/y0dTO6NcGu2YRm9DFZWlN8VIzhxbX1Sqr7gMaS5dEUsDzmk7KyNnUYVzQfLCaryxPEdY+sxz/XZ14r6C/vHMKOw93463tqPBHPixm7MJ02E2rKHfAfWIZzpp8BIHW2jhGftW1BZ7ALj+54WtknV1wGJLP9tUuvwBdmnAlAcl8BwIFeN8aCQDiKGC/CPHcnaFsAq6tPxILSebox7V1R7Dog3dwENgiLazv88XZP+SayBFGELyR9/5z2zCyBxfHkECPhosUT7kdDULpxe7he/GbnM/jxJ3fjmDfzzg5a5BCDc2vPwuemDh7sbNEUF23yHk86HhnHIotri2dsiiKss+oAAL5tWxGLW3qUwHcuoHte4oKr0l6BU6tPBACU24ZmCcoWR2+9BW2PP4pob0/SMa5DWhz3FSZbsoaKVjidW3sWBFFQukfMLZ5N3IM5JqM7jsvlqnK5XH90uVxbUxynXS7X/S6X6w6Xy/UHl8t1iubYJpfLtS7+78PRmni+UdIjrWwPzZRWnfzAQLrhACQrVrSjQxFP6gGNRSyiWrVom5TtlY2g8FRQNANGpBSRpb0hcQk1k0Ka9jser2begwT2Gll4tDfxIy3SZ/nWxsHTmmWC8aBuOaBZEEXwggiWyfyCU+I0g4uKmGKTKs57I3qRJYgCfrPjGbzd+H7Scx3xzDwtYvw8ZxXOwJWLLsOS8oXKZ1MYL+gZGYV6XJnw0lrJzUwXSIuBr8+9ACXWYvzP4v9Rxuw72otEr/fh49L4fBJZrT0BXPfIx3jkRclqUOLMrOK5HPcXHeQz14rrfcKHinXyk9aNeHr3X3Co70iqpxoit4A5tXpVRsWCtX0zj/uSy0hoLXEO1pF0fLxQcv6XUHrKyYg0NaLvrTcBpHYXJoYYVNrLQVM05hbXoTfUp/tMcoEYiwHxVmhCOHkucjPniJka1d/SV2Z9Uff44nn/OWqvTRgemVqyTgfwBlLntF8MoNDtdt8L4CcAnnO5XPLVY43b7f58/N85I5tu/mIPSz/6cI20iurqa8FvdjyT1vohX0hinswylqyzpZ5r8upuLKAYGrQIBGMhhGIhXeNmUCKgCbqN8uqFL6xp0zJYJfNES5aJZnXCjNcEwhrVujJC9jjIHefl8g1MhpYsALCapYtfqVly6bx3bJ1uRe3j/DjSfxRvNb6PAU12XjAawqv1/1Yeyxd8WUx+Z+GlSVXS5VpSsWE2GR8q0scigmJ4zC6apcR1TC+aAq5pIcL7T0FThw+JP/nGHsmCmu3WLZEoj9++ugd7Gga32Da1e8FFBRQ7zZha4cCS2ZlZMuTYN26QzzxVjaYN7Vuxr/cgfrvrDxm9HwD0hjyK68vCZBY/pf2sA9FA0vEwry5onObxZcnSYpvnwuxrvwcACO7bh2hvjxTHSTHoTyjkmyiy5O/vtIIaiBDRFhhaO7HRJtSgxsqKCbXlor09iLS1gmdoiDQ1YktWV1AKKZlRMA0srVrGrIwFxZaidE8ljAEZ3XHcbvcrANL5Sr4CYGN8bB+AMAC5SuESl8v1E5fL9XOXy/WVVC8w3plKSZlqKxZI7h/vQDeO9B/Fmw1rUj7Hv2tnymNGyOb0MU3TjluyAOBH6+/W1eSRjmvch5o0+JhGcIX49CUdErMLE1OMtQH1Hb3pXTsyasd5/XxYOvPPTg5+LzNX4fzas9ET6sW7zWuV49o4EbcmdfpAQkzIIzukQpGyi4M2MN/L5xzNMJYvFYKYWXV+byAKWSBri4XaLCxuPvurEAPFOvevjMhKK3CnObsWk70Nvdh5pAe/edk4pkWL/P24/Lz5+N+rT0ZxxpYs6cb88LYnkyqq7+reh8d2/h4vHHrFUNgMhQjP4eHtT2J7527d90RroUqHVRPMbtQsOaK1ZJnGryWLLSgEbZE+E66jHU23/xQURYEXeRz3tyklUHycH2ua1yoW/0vmXai8xnSnVHZEGwuZC8JN6vuLUVXEi7EYGn/yIwh+P4R4Y+eRNkqXLWGziqRYU3nROq2ghrgK84DRslNWQi/CvPF9APCA2+3eErdsrXe5XD63270+3YuVlNjBJrrQRomKisxTYzNBzompiLEIm0xYvGg5juGvsHLSBcAneFO+Z2dxISLHDOb1o/+Hww89AgCgrVYlEL68uhT2igJY2o0/G6P3Gen5tlvNiAiidEGjKLx7fK3uOGXiIEZYVFQUwGT+/+xdZ4BcZdk9t02f2dky23ez2U0ySTaVFEISmoAg0lEQlCIqYkVA/SwoqKiAovgpggqKfFYsFGkqHUJJKCF907PZPrs7bafe9v14b52yO7PZ3WySOX9257a5c+fOfc/7POc5j3470QyjvTc9qA8Muc6H30EGiUpHOYbiQdg4q2m7OK8TtkA0hcXz8pfna++pkCm7jYPP59YGYofDUvA1aW3y4rUtfegNJnHJcWfjmQPPIyKGtf17DUTS7mS15RUp8/G7R3rhLGPBWcn35qvyoNJh3kaWZUKeGSnr/L757J1ICWn8+Kyb835eFT9+9VdY370Rf/jQ/46aVu4PJeB2cRAA2Kyc6Tgn+9x4Z/cQnn8rW/9DO0jEbk5DM3yeif0tGRHYoL+3y2OH3UrurZz3j3J7zWj0FnW/N4drgQPEBLYjtgNNNVV46L1/4qxZJ+OJ/c+gNzqAnUEgRZnTPYtxAfaE9mDEu1lb5vZysHG5I1Ovdb6NveED2Bs+gBOa9GrhhpqKggbBmgrdauSFg6+irrwKF8zTG5rLuyTTthP9jJtMGGoK4fO5IYv6BEEWBFRV6JE5i0tGpcOF7z31I/SNBHDJf4Kwlpfj3Ev1a3GyZzn+1PEPvB3YiMuXnXvYSEaC1r8Tj4OFV/lOBtfpthO8lQFN0QXfB/nwhTVX4cmO53HpwnNNxP24xvZpeS9Mx3OaTEwUyRoAYLxyHmUZOjo61it/Rb/f/wqAUwGMSrKCwcKiFcXC53MjEChcvFwMkoFB0A4HkmkLJApapWF/dCjveyaGSJrQd/nHTNuIja3a/9aWmUjs2A4ACEbSiAWiGInpkaF6Z61WYZj5PhPxeSWLDRBFfG7uFbin4w84ECJiXzFSDsYTBGUfgZxyYMPmbvzjBX2W/vgre3HBmhYAwL4evULyH8/ugCQDpyxp0JYFRoJgaRZezoshBEGDMZ333oN6OnX73iEsnmn2FkqmBWzeO4wPrG3F4CCJLqWVdGVkJIVAIIpAiERgREEs+JrMU1rtvLG5B4tavGApBoMjIW3/gwE9+hEMx7TlwyFyDkt8C7Uy6hc7NqAnRLYPDschxbJ/ehaGQzQZN50fL/LYNURmxX39IdOsN9f3u76b6H0O9PbnTRWkeRF9QzHManKiC4DAy1nHOWFetUayblh8PX7f8RCGk0HQrhAomQWbsCOQmpzfEgDsPainh1595yCWzKrKez/3D5JIk5jii7rfF3kW4fOLHfjFe/fjlX0b8Pj2/yIpptAfHkRvVP9u3+o2R9PeWJ8E0IAzVi7DJuoJRORBdPUP5e2yEA7rkbDdg/u1/9V7dTT4fG6kYubU2J82PYo1Vav148f048SjPALs5H0vk4lAIJo1AG+79wGcvHQNXupah87+APqZMPpGyPOkbkgAhgJZ3/miqvl4Z2ATNuzZpkV3phrRIV2TO9wzCL6BnGPXv54CAHhWr8Vz5d1wWqiC7oPRweHsxjMRDaYRhR59rmXrJ228Gy8mcww+3MhHHsddXej3+51+v1+tm30SwAnK8goANgBb/X7/XL/f/wnDbrMBTK6x02GCnEqBcTjh5OxIcRQsaQmQZZT1j5hmZ9r2sgx+MABLYxPK33e6eaXB0sGu6LAAaH5aRg2Tv5ysd01SmoBxk4FjFluNhVW6C7oYJNEk2k4eEN99UK0clMG1bQTtJYMUL4jY0qkPWA/+dzMeeqYD37r/TeztIVGRSCoKj8WtefwYK4c6OoPY2aU/sHKlsH7+j82499EteG2zrsNQ/YxUw82uADnPmvLCNStVZUS8HomlQVEU3Ba3yUV5xJAuNH4narquvdKP65deCwD4685HtCa++QoBym3lWU2kjX0ds1K1GTDqwnK1KlIxFElClgFfObneudIVrfUezKxzw2lj0VpRj9leJVXN8RBG3HhtS3/WPhMJo6Zv8xi6rEicfFa3s7jydJqiMa9yDlbULEVvrF+zVlCveaNLt+94X9OJWO5bhvRevWn4f9f3YbifXMPRegsa0+X5XP9Hw1j6N+N7VxZgbjpdYKyiNppvNt70Ve3/8MsvakUkcT6umWoa0fvAr02vFytNyw/kqMScKkhxnVinlArK2LatiG/fBvscP2qv+SQOVFGTqqHL1H2WcHhQaHXhyQCuAFCnVBDaAVwN4HvKJg8DiPr9/lsA/AjAlR0dHSJI2vAcv9//Lb/f/yMABwH8eYI/w7QB7XSCYzikLTRsaRnte5I4+1+dGPrXo1nbCqEQ5FQKnM+XtU5rqwNd7A4YSJbBR2Zl7XG488Rbcdvqb0zkR9HAKsZ4wvCwRugAQAoTMThlM8/CKEcEbGUfrHNI8+On3+xEMG7YhiLn3j0Yw7otxHMokjaTLCNhueNPZt1aeMQ8mL2xrQ/bD5BIV2cfIUCyLGueSWoT5OEI2a/BVzgZ5VgadiuDEcW0021xIZKOaiQwatDq9A1nEy6GYjDb24YGVx0Sgj7Q5ksNVNrKteKCh3c+hsf3PIPH9jytre+PB3Lup2Kfwf1fbfekHsPo66SmTl0Ocj/lIn0UReH6Dy/Gt65aDpoyV0DJMQ+eKqLSczxIGUw/X3i3G9fc/jx6Atkz/mg8jb09YThtLKzc+CQGZ7a8DzbGihU1S03LV9Tqr+uctfj4wktx56WXmneWyHvma3kDmKtSVQPfa9o/WvD52cYwGFVNOL91/E05zUqnK6S00th51my0/OBObbmx0bGc0l3uY0Ic3Upz8U8s+Ji2TfT110zHdSp6QeNvbqrBD+q2DeluEv0f+OP/gWJZVF30IciyjJgQn9QipiNZn3c0oaB0YUdHx0sAXspYfI9hvQRSVZi5Xw+ACw/lBKcz5IxeeIzS4FmwMHCE02jtIg/ekY0bUXWBueUNr5jRWRsakQUDybK36n2tVNNSSRnEv7nyRtS7Rm8fcqjgKgmZ4gcD8Fbqs2Q5aQckGq7yJIJGjalsJhCPvrIPltn6jJWi9CYgyZSIuJCAKIvwWNwmATYAhAyE6sOntuHpNzq19iYqXt7Yo/3fNUAGsxQvakJ3NZI1pFhKVHiKc8R22TlElUiJx+JCZ1RAT6wPDa46k/B9wJASEpRIFkMzoCgKX1jyKSSFFG594w6yPE81UbWjCluHgA197+KlrnVZ68ciWXsjBpIlpRHj45pQn6VZrbxbJaBOOw2MAEyeyJrHYYFHcU83fjdSzAOWnVyLvWRahN3Kor2lHG91kM/9xLp9uHBNC9GvKUR1+4EgEikR54zSq3As1Dlr8MO134aF4VBlr8Q7A5vw4TnnYY63DY/sfhKA3kao3G3FDZcsxiMv78X+vihkkVyXWCphFkwYYKwwHuFjqHfWYlnN4oLPz5ojkmW8BpIswc7aUOusKfiY0wFymvy+uYoKMPZsyxMVTpB7MM7H0aVEslo9LTCWKojRqBYNUydrcWFyZCeFID3QD7aiElIqiVR3F/jhYfD9fXAuXgL7rNlICElIsjSpkSxHDhuZEqYeJTPScSKxdw92XXuNaRlboUR9GAq0BFgEQidka7YAWZ3F0bbsQV8lU1xtLRiXYabDqLNmMkhORTd1rkohWUODcHLkRytLFAAatOBCmokCpoonnWTtVHU1jCFFQktadV00kdZSXB5rthD85t+8CQC4+ORWnLmyGV6XBeFYCpFYGn3DcYiSBIdNv7YHesmxRgw9FBMpAWlexLBCsiqLJFluhwUjCR6yLGORj6QhfvbOr5AUkggl9cHT2BlJjWSxCplyW1zwOSrxreNvwicXXJG39UmDk7irbwpsNS2/ch6JngyMQbIG43paTZBELcIBmBt8q+k15yiRrEwYI1lS3IPjZmdHYCcSKV6AzcLgmg/Ow7XnkshGV38UkiTj2w+sx68fJ9dIjVC21B5aakQtEjin9f349qovY17FHDA0g28dfxNW1S7Hgsq52rYLWyvx7atX4DvXrATFkmv8ZA6vNBWRIjoF5EKu37mxpZUsy6CPwEe5lCL3IWUZ/TnmHCS/s7iQQPdIL9ycC2WsmZyo5p4A4ObIvVCMefBEQkqnIYZC4KqrYW1oBD8wgPgWos20zyHtpeKKLYjLOnnRpkOtWixhYjB9HAWPMAw9+s+sZayXVAEJlAxGBrxRMtiKluzLrHqn5HrAUDSNqos+BK6GRKmavn4zUt1d2mxPnaFNhbuzmi7kh4Yw29sGP3MC3ttEfrys4ELaEgHYNCAos21DVc1LG4kWgWINJIuS8Onz23H/E9swEue1B6HH4jZ54ew8GNKa8a5dWAeaolDmsqIrEMMNv3gVsgx4HBwiCqFq9DnRNTACQZQQTRhKpkHSTUORJBiaQlmRuh2XnYMgykimRaypPx69I/14oetV7At3IpzMTgMBhnRhxkOu1lkzarShwU1I1s7QHtPyOeVtoECNGcniM87BaAeRK13oUKodCyFZRl8iOeEyeZdNBlK8BLuVhc3CYlV7LR57dR92dgbxx2d3onswhu7BGK49rx17FWJd4Zkc365aZw2umH9JznVN1S54fHHEAeyL7s97jMzBXi1USfMi3tjWj9ULakftRJDr+0lLeo9LSZaOyFL92JZNAADakv3d1V33WQT//QyS+/bC2h8ELMBgYhjDySDmls/OyiKk+3thnz0bAHHypynaNLGYSqit0CzV1QDDIrGzA6EXSUTZ4SdkXTV1ngwrlMvnXnzYzVhL0HHkTX+mCXKSI4489ESaDECuBHkQ8DmaDctpQgRoLneZfcXZ58C9bDkAIn73nnSKti7Ox8FQTM40wkSDK68AKArC4CAoioIlNBtykkTXYiHy/rRND8tTlP7w0/oGMgazR1rC0tlVcNhYxJOCiWSpkGUZ/3ptPwDg2nPno0zxPfIqBEnVxUcMEauWOg9ESUbvUFzTUL1/RROcNhaPr9uPwVAS5W6rZu1QKNQ+eOox51aQB/ne8H6TMavRtV5LFxZpMljnqMk5oJZZPSizehBKjd5FwBi5EjMiWUadm5outNuZgs9zKEGc3pscMwBQJh+08YIXJHQNZEd5eodiiMTSsBk0Vm0NZYglBbzwju54nuJFvLWDJI183sOTGmmSl2j/GwsPjMgXUfnrC7vx4NM78NirxXs6/XH73/DE3v/gtjfvQlxIHHEka+iJxxH48x8B5I7mu5evRPVHrwQAsAOELO1SJh8N7jqtmIh2EJJijGQxNIMyiyeriGSqwA+QohDOVwNrI5GDpDoPgLbbYW0i1Y4xYfJI1pr643Fa80kTftwSxocSyRoncs2+dJJlfuDxOeKF0iiRrLEQ4+NwcPYpebBSLAvWWw5+iKSieg1moHKSPCAom042LjqlRT/PpAC2dh9oq1H0LYFlaFhYGrwoaRV6HoMANBLnsW1/EHObvTh+vh75KRvFZLJZaejcFRjBo6+QQaum3I55M8qRSAkIx9JF67EAgFMGetVodWbZDADAlv69igiebCcao0jK/8U2fuUYztToVgVN0bDQnClalguZkSzjoG80KN3XGwFDU3A5aOU8xw5onz3zDCysmocLmom2kJ8AkvXPl/fg279dr/WX7OgM4tM/fhHfVNLEbqc+AakpzyZRr2/VB1anbepaTRnRYGmDlCL31f1b/pC1Xi3sqHfU44ymUwEAVTaibdylpNM7+8dOJ76v6UTT6/cGt+Lp/c+iN9aPSDp6xKULjZkAz9rchIApIxYkTJxM1gbiREw+w92ktayxNhArGLXhsooKWznCqUhBxrzFIL6zA6keogONvv0Wgv/9d1YfRV6xduGqfbDW65pbR/tCTQqipgvdk2zqW8Lhx5H1y5xOyMFvaFYJ32dc1VyDo6zqEbhxkCwhPqWVI1xVFYTgMMQ0j75hnWTZQewdVJJ11gm12J56U1sfoXvANZsbHtNeEkrnWAa8ICGuVADZWTtOaiTeP8l9fqyYW40bLllsIpJlrvzXqkkhWd2BGPYpKaQkL6LMqROzynGklNReh2rkxsk54OKc2B/qAWgRcjq7IlKNajFU8dn4mhwkCyCzcyFHI20jzJErCXsUywjj+YVjaezvi2J2YxnSIClEdwH3UqO7Htct+jjKbeQ7F4RDJ1lv7SD3wvPvdEOSZdz9902mrgH1lfp55SLYDz1D7q07rjvhkM9lvJBkGUIPKU7ZG96PW1+/A5sHt2nrE0ISgiTgYDePzvcacPPxN+Gm5Z8DAK2Io5BU5/ltHxh1fSEp3+kCIympOPd8klbLAbWQCAlzleAS3wJEN6wn25R5QTudOUmWDBkHouNr4p0LiV070XXnD9Fzz88AAP0PPoDAX/+MRMcO8IbWaGmFZFmqa2Bp0P0AvSefov0/lCDbVzh0o9kSjk4cOb/MaQYxll25QlkIlu+4UwAAIABJREFUyaoZMpMqKYdPlhrJoouMZEmyhDifyNmAeLLA+aoBWUbf+rdMg+CXL1oLQE8XduBlzQsKAJKu/cgEV0+iTBxDgxckJDWSZUOTuwGX+26AFKzFgpkV4DJc/3O1Szl/7Ux8+SNL4FFSiWpjaECpjjNEQ8YTyVK1MoKoDwxlVo8WndNJliFdKI8vkgXoYnkA+NjcD+OG4z6jLR9tVs6LPAJxvWxclESTUF4lWbu7SPSkfWaFVh1ZTBm5fj0OjWQlUoJW8QkAkiSbbBsAPa0JQKtyNMJl53BCe81hSxUCwPb9QYiBJsgiuS6BxBDu2/Sgtl5NFcq8FRt3D6LOWaOlxtUUtC2HnCATY0Ubc7Vqmk4Q4zEE/v4whFBI62ABkKrAfNCi/DyvFYvYGBtG1r2KgT8+BADwnLAanK8agsEyAdAjRHe9fQ/u3/x/pkrg8UDiec2Pi+/vh5RMak2eu358B/Z95QatmIkfICTruZHNuOXdu7VjGIuYemIkpdhUpnuxlXB0okSyxgExFkNiX7anqpouVLVYKiQpe0AaTfg+GpJCCjJkzTtmKlB+BmlbEXvwV6hJ6RVsTeWVYMBpkawUzD3eZDa/Tw3H0hBESfOyUR+iqlO7JYfnkVG0ftnps1HmsuCM5U2Y31KhNX4WRBnlbkLGTlhQa4qAFFtZCOQmFSYndZ4cP5cZKT2Oxq+nNBHi+vH5l+GE+hWY5Z1JzoNmR00X7gnvR1riYWP0yFpntAsO1g6O5jSdWH+QDAz1VU4tVVsUyVKsG17f2m8itMUizZsJVSiaLdRlmNxRTLuVwar2Gtz9hbX41LntWftNJbR0tmgmQbxSAWwkWUYYG51PRBEBNc0jWUP/ehzBZ55C329/A2nE4CkXya8zpCgKoCjIkgSHUk1YlWTQ//vfAQA8J6yBa/ES0DYbZEEwmZsaK3jfDWzGvZt+d0jnn+7uMhG53gd+rTdGVSAbSBbj9uDJ3pcQTOm6MMogMYmkSbS90l6KZB3tmN6/zGmKzh98F3KuSJZCskIu8+Aq5YhAjCV8zwfV9HAsF+iJhLWpCc7FROC7LLQDHz61DT/74lpQFAUONs2iwUKZz0ktb88FjqUhSrJWKWlXInMppU+hhcu+Nd0O/VqdsbwJP/38WjhsZHBTGz8LkoRytxUsQ4GmKC3CBYw3kmVOFwIAR+nHzJUuVNN644lktZbNwN2n/ADLa83GmGq6MFP/oUI1Io0PEjPKYCKKQGIIze5GsDRLSFd/FM+/Q9IntRUOzVqgGJLFGYiP6l81HmRqun7ysLl1zQVrZ+JDp+gecUaCfdsnV+Hac9uLLmKYDJyxogksQ0MYMkck3g1sRmekS3MdlwVy79732BY8/06XiVRKBZKsryz/PKrsldrrVkUfCBwBkawRQjbT/X1IdespvPL3nzX6jjQNyLJmH1MT1u+bMqUYSG0qLaX1a2rPiPSrhRvjRbqX6LDcK1cBAGLvvqNX4CiQBR6yKIIfHgKqdE9B642fRdWHL4WlRteXpkUeNEUXpIcs4chGiWSNA3x/7pYitKKvenu+Ocoky9mRrPEK31XdDUdPrdC3/nNfRNruxpzYQTRX2OBW0jcyRC11llntSLH5W7twSkQkzpN9VdLIC/kjWTXlDiyb48M1Z8/LWmeMZImirL02Ds5VZeMQvueIZEmi/rNRIxRGiwNRqy4c388r05QVAFhF35UUc0cH1WolMU7uvZ1BUonV5G4AQ9EQJRGPvboPw5EUzl3dgrpKJw5GSaWeiys+XQjkTuEVCmP6FYBJ68fQFM5bO9N0fK/LigVtlbjwxJlapHI6gKYonL2qGULXHNPyx/c8gzve+l88uof0qlOd4ddvH8Af/rNT66UJFE6yWjzNOKvlNO318bV6s+npLnxXJ5Myz2P4qScAADNu+S7ss2aPuh9FUYAhklUxTJ4p9Z+/XrNsoK3kd73/29/Ezk9ejVRPD46vPc50HCnHM7gYJA+QSUzZSSdj5p0/yblN/0MPkgIhUcSIR793xYYaVJypa+oe3Ppn7IscgIW2HHFVoSUUj+n9yzyMiKZHxuwVlwk1kvWB6jXmFTmiD2okq1jhu1pBpnrkTBVkisJ2dwtsUhqNSd1rOQUyONKuYLZvFzNKJEsZrBNCEhbGonlKpRXNlyWHozhNU/jcRQuxdlFd1jo14iSKEgRJ0iJbRpJVV1l8itWuRMqM+iBR0B+MsmDuJxnnE3i9dwMAwMoUT+ryoc3bAgB4rjN3b3U17SonyWfcHSbp7CZ3PUk1yiJ2Hgyh0mPDhSe1YutQB3YEdwEwV3aOBaPTu5QnqlYIRhPOc3m++x9+di3OXTNz3O85WThtWSMg02gYPAefaf8UOJozpYkAaCRLRVfAYP9RRLpwRc0SfGzeJbh87sVoMPRWnO6DtdYSLBJBcu8eONoXaHYGo4KmIUsS7Eoky6U0U7bOaNE2cSlWN2KIXPORd9+Gg3OYikhG6+U5FsREAuGXXwRlscDa1AyuQo9Sqe8NALFN7yG2mURkE2V6JE1NHQNAV7QHG/pJq7Bck6kSjj6USFYefPOl7+C2l3845nbPr9AHKJVkOYWMy5qLZGnC98LIUpyPYyA+aIhkTe0P9N5Ht6BL6Rsi9fVAjJv1V5Q1jjKX+bNQjD6QVqcWQRYZUDx5+GiRLCFhav+QUjVZbHGpNlZpRSRK5khWuduK89a04MsfWTKugcinPCwHw3oESTCQLEjke5BAzvv32/TWnPmc3ceDUxqJVitftZRaQCDFPcr5kGvf5G4EQzFICzxiSQFzmoiebH3f29q+xfit0RSFJbNIF4BDEb+HRvKbJa5eMLmtoiYaLjsHigJ27xXwwMP9Zs2eAtlAsio9VpP9RKGRLIBo806oW4419cebIqXTvbqQypBF2FoKI8sUTQOSpE0EyoYSoF0uzfgZANzLlsN7+hnaa9ZLUuZG815BFsdt5yAMD0FOp+FeuQqMkwjqm2++FdWXf0zTq6pQvb9iXv23n5Z0gvdK9+va/6vqdIJWwtGL6f3LPIz42JPD+OzfBsf8YW6erUdH1AdJ+RlnwtbaBtd1nyIrcjxE1UqUQtOFf+74J77zxp14d4C0Z5hKktUdGMHbHQFEWPKACfz1z9jzxc+Ztilz2BBWxJytDr++QmLxjZU3oCq5EHLKAdBK5R1Lg7LEEU1HTRGw9CiaLACIvPEaUt3dWcsZg3YqnhJgVfanKAoXnNiK+S0VWfsUgirlYTkY1tM7vGFSLItqP0ly3h1B3a19Ir8jG6ukU0VzdFCSJYykY4ZIllPT/9gYG6rsFWBoGmlFFDy7iQxOquM0UHwUZMlspdXSIdg4/OE/O3Mu//bVy/GR00ZPIU03UBSlzaPCsTQCicHsjQzC+HCMx96eiNasXBxnRNAodqdzecpMJ2ToEy31DXk2zNyPRLLcnBsWXkJZVICtqTnrnvWsWq3vonTGmO1tBaBLK1LjjGapFZBGYmdraYH3fafnTXdGDelC1d8rnIpgff+7qLCV4+en3o4LZp09rvMp4chCiWTlgXeEkKs0n0I4FcXP3v01upXmpJyPhKFfXWL2F1I1WWxZGZq/8S1wLYowNWckq7h0YccwSf8820n6dLNTqMn69wYi3v3AWUtMy4WwnhI5f20rgskQHKwdM1wt2nJKptHgqoMs05AFFjLNQ5IlcCwNbuYWCLKAUw1Gi2lFk2XNocnih4fRd/+vceCWb2atY5T0YCTGIxJLo65yYnzEvIrPVtjQmJqSDN+ZxECWKS2SZfSqykVekmkBT76+H8n06MaimaApGhzNIp1Bsh7Y8kf8z6vfQUdwNyiZAWQaUpxEHJs9jURcS7FIKy12VLKZz528EKip3mIMSWVZNqUX1c9fbTAZtbA0Wmo9o7aYma5QCRMAuEILzCtTTlhSlVr0Vo0ArpxL/KGKiWQZYRS7T/fqQrXyDgDY8nKth9+YoGlAlrCydikqQ+SesTY2ZW1ma5mJ6ss/Rl4oljkXzz4PH537YSxWeo4aI0qFIPD3h7Hv61+BGCG/FVMfWQOqLvpQ1rI+h/77VseNh7b9FWkxjdObT572kccSJg6lbzoHjNECPp3E33c9hp3B3fjD9r8BAII28lB8e755IM8MidNKCiu3JisNUJSmVRgLmU7gUxnJ6h+Og6KApSv8ps944Hu3av+XOWwYToVQYSuHg9ND5ZRMroEkyWQ2T5EZpZVjQLvCqLRUYZVBwMtrkaxskjVWuTfLUOgKEM1G/QSRLKuFgc3CIBzTH9CMqBMDjuEAmYIMKYsA5cKjr+zDP17ai98/0zHmtpmw0BYTiQOAnpFesDSLRlc93AmSguEPzsFC9zJc5r8IACFooiyipsKBaq8dkixp0ZYvLPlU0eehmmf2BGIYCCXGTBu+8l4PPnHHC/jkHS+gW/l+ZBCNnDEa9rWPHZfnCNMf37xiGd6/ggz+gZ0NSO0iE5JWx1wkth6PlhovfvL5NaZqV68i4M8sAigUxnThVPQxHS+i77yN0HN6A+3WH/0UXHl5QfsS4buMSnsFrhXJc8KaL9XIkGeirEwomtz1WF2/QmuwXWwkK/jMU+ADAcS2kWbk+UhWxdnnoO2nPzct6xNDin0Ki55YHxJCEjtDezDD3YSTGg6feW4JU48SycqBcFyP0AjpJIJJMrjbWBtpk5EIQ8oRnc8kWdQoJEtKp0FxXMGpGlE2Rz6msrpwMJxEhdsKjmNhqdVF52IohFW1RFeQFtNIi2mU27xwWnSSpVbiSbIMWUmZJIUkbBwN0CIstM10DVJqdWEO8bMQ0r8XKZWt6TFGQOqrJs4Rv8xpyUuyHBYLINGQIKEvrledlltz+9+oAvrtB4pvXmtlrVpaUEVMiKPKVoGvr/wSPCEyCMkxL1aVn4Zqh5LW4wFQMha2kihWMBkCLwlYUbNU68VYDFrry2DhaDz7dhe+dt/r+NsLe/DWjgHc9deNWYaiAPC7p3do/29Qeg2KogyGpnHNB+dhmd+HX954ElpqPUWfy3SBzcJixVzVuZyCFKxFYv1ZWMicAQgWeJwWOG2c6b72ldnhsnPY2xOGLMtYv70f2/YXbjVgjF5V2gojLYcD0fVvaP/nivqMCprWqrNTXUSP6DpuWc5N1ZY1cob5s03RRsb5bNudQqC5y7vcebdh3G5Te6ChZBA1jmrUOmvQF+vH7tBeSLKEuRWzp32RQgkTixLJyoGRoD5Y8umk1pi3zOLGwTt+gPpBHnIhJEsxo6TyCN+LsW8QMrRhUxXJEkQJoWgKlYoA3FJn9gOqdZKBJaD40FTYvPB59BmfpLDRi05q1QTWCSEJ1iKDooBUksbX7nsd/UHyAFQ1WbkqzIzpyXR/X9Z6xkCyjOmbQ0WZ04JoPI3+YBzrt/cDvE6yVs6tVSJZIrpHyDld0HY2vr3qyzmPpXp9RWLF60PcnAtRfkTzypJkCTE+rt0LxqiQaIguJVMSQElY2Eo8lsKKQWYugXYh4Fga7QaN23/fOohfProFW/cNY29PdrSxuUa/Hx5ftx+ReBqiJIOhKbS3VOBzFy6EzXLkV1rNqM0ehAcVqwa1vVOFwX7CaeewsLUSoZE0/vzsLtz32Fb8+C8bC34/o21DpX18msOpgKVWL2QoO/W0UbbMhhgOg+/vR7q/D1IiDtpuz+stmI9kVSgEdChZ2MSGHwzg4I/v0F7LKTKxyRfJUlFzxVVwzJsP+4cuhCRL8DkqUe+sBS8JWNdD2o3NKW8b9RglHH0okawcSIT02eRDm/6olWO7OCeSu0nZu0qyltcsgXUByflnpv7UdGEuA0k5zWsarkIgyoeHZA1HkpChe0xZ6nWSZW2eoaUsVNG7x+LWRNoAQIM8+Jpr3DhtCQnzJ4QkWI58noGhNAZCCfzzpb0AiBO4haNzzvaMkazMXmWArhUCxmfXkA8elxWyTHrl3ffYVryzVW8FcvKiJkBiINBxvBfYAoDYLViY3N9tPKVHJIutznNbnBAkAUnFkPaZXS8CAA6OEKPERNroOq/fc3ySVL9VVJH3VluMuA6hOe2Kebn7zf3oLxvx7QfWmzRnmc2b93SFIUqSydH9aADL0PjwKeZBVK1KVds7tbfqZqJ2C6MVETz7dvE99oy6HqNJ6XSDrNznNR//BBj7+FogRde/CTEe10TtuSAlyEQt/PJLpuVqQ25j26l8iLz5OvZ97StI7NietY4pG92dnWIYNN70VURXzAUA+OyVaHCRyP/mwe1gKMZkIFvCsYESycoBMaa3fVjySic8igje2J9OHcI+3n45mq//Mmb/6gE9PahAfQhSOSQXEp/Weh0WdE4ZkaypcgpWBwmNZNXos1KZ50ErVUMxnlg62FibyRKgtkIfyO2Kb1RCSIBmlc8jmqMwaUHKa98gGiJZQ489ivTAgGm96pVV6bFNaGRE9drSUnyy/j1zNAeprw0yLWiNgfM1747E0nh1k04Oe4eKS1+4lDL2qBKJGorrM/PwSAr9BkPPgwMjSCiEzpIkTtM7w7tM+6s99MaDJbOqYGFptDV44PPaTAahXYER02fLrEIMhBJaJOtowwdWzcD1H1qkVUhu3E0GdoeV3I/GCKDVwmDBzOwIVKH+Yw7FO8rJOjC3fBpXZCptxSx1BVYU5oIsQ0okQNvzT57YcnItU/v3mZY3expBgcK24dwVrSpSBw+i7ze/yrmOslhM1YWjYUDRO/rsVah36c/L1rIZeSdfJRy9KJGsHBANNfoz+nic9yIZ3INDPdpyTgQWVykRLIrSQtVGjKbJktPpoppDCxmRLGYcLVvGA51kkQc649YHZpnntUiWaglgZ2wm36tQWicCqjYiKSQ1kiVrJEtA329/A9/Qgbz2DcZIFt/fh777fwUpmYAYi5nOdSJThQBMYuVMsDQLKmQ2VWTy9Cz85aNbTK93HgxlvR4tjaiSokhGJOoj/ouwZR+JvjYqn/3J1w/gQUULxcXJg37bEBHbR9PkermLcHrPhM3C4iefX4OvXrYUt3/6BNzy8RWm9cbPwQsSbBYG376a6PcOBkYgy+MXfE93LJ5VpUWoVKiFHC11bjRXuzC7sQxuhwV2K4vFbeYoVKG6LDtrwzdX3oivr/ySRrimI2SFZFGHUDU69PijkOLxLEmGEa6lpHCCrTBfT4/FjVnemdgb3q9JP3Ihvn1b1jLn4iVwLV+BGbd8t2At1WCcmFhXO6q0SBYAnKr0JS3h2EKJZOWAmCGqLlMiWVWvbDYtv7r9slGPQylEiE3x6P7ZTzD4z79rHehlni/K7T0zkpVvIJ9oqP5QaiSLceviZEngtXYXByIk3WFnbSi3eVHvJAO7sQ2MSgoi/IjW71CNZHkDnYi8tg4f2PVU3kiWEAqBslhQ/4UvAQD4oSHsuelL2HM98ew6K/oe5kX3YU7TxDZdNbrGqwRQlshfC8OBpRjIhkqIfJ5FXQN6hJSmKFNUa/uBIG7/4zu4/4nsB70KtxIhe2b/cwCAN7veBU3RWOxr19rSzDZ89m37h8ELEjq7BEhxF3aF9iAt8ojyKkkbP8kCAIeNA8cyoCgKbrt58PvZ3zdpn5cXiWWHz0uIwLrNRLu2r3f8NhLTHdVeO+bN0MXoqsaQpijces1KfP1junj7+PYa077rt5sjtKOh3lWLcts0bzKsaKQyI/3jOtRIdNT1jgWLIAwPad5WQjiEyOuvYYkyIX6zVzfh3RjYgle7dVF+qof473nWnAjPiUTEXnn+hai/7nOmCP5YCGiRrEpTtHjaf08lTApKJCsDUioFy4ZNpmWsBJzY70LtoLl8fqzQr/pQ8fRHEdu8CcNPPYF93/wfBJ/7L2RBKE74LmemC6eGZA1HCOGs0EiWOZLVXumHheY0MqVGqy6Zcz4AoNKmp0PUCqjhRFAzJVUjWSr5BPIbkQrhENgyL1yLl8DW2goxHIKsEGJZkrCk/z2c3/8KzlpZQLuOIlBj8HJqrnZj9YJafLDsGnxtxfWwszZS1Sjp6Uk6DwE2Nqhe2FqBA/1RLcX37FvEi2xXd/6Z9kJloOiPB9Az0oe9wU7Mr5gDj8Wtab28Lj1tF0sKWrpKDPvASwJ2hfaiR/HtKbeNT/ieC7lm+b94hExKeEEEx9Jw2jicdlzjhL3ndIfNot8HuSxJVHAZEZ6BYCLPlkcmtN6t43hm1V57nem1Sp7ywaZ4EyY7Sa/BocceRd8Dv8bsl3bDxTnx1P5nMZgYgiiJ+NOOv+MvHY9gRInspnu6AIZBzRVXoeajV2LmnT+Brbl4DVUgMQQn64Ajw1bDMsX9ZkuYHiiRrAz0/+NhWPZmO4of99xeVAeLM5DMNAh0LFgIMRzWWi/kq5LJBVEyv3e+gXyiEYmTtE+Z0qxXbSsBEJJlY21Y7FuoLVNbycwub8PH2y/H9Uuv1daphGswOYwtYdLjS41khUJ6m55cRqSyJEGMRDRdRGY5teqNA5A+dxOJOU1eLPMTnzKP04JPnjMfH1wxB01uojFZPKtKc34nJ5P7/VV/KQBoqSMRwTv//C6GI0m8u4uQoTmN+We7PkclGIrBcDKIe9/7HQDgeKU1h6q/asiwrrhXSVFKYZJC2Ty4DXvC+zHD0wRXHu3YREHVXKUFSSMSl58xGycokZsj0XS0GBg1Z/WjFGIYCaqFozEUPrpIFsTxpwvdy1YAhusj57BuMcLWSgoP1B6CqW4SYU9seAtnzDgFgiRgf+Qg9oT3I8bHIUPGtuEOyLKMdE8PLDW1oFgWFMuaehSOhu3DO/Hv/c8DIBW/g4lhVDn0lOWnF16FVbXLs7wOSzg2cHQ/5YqElEwi/OpLY29YIBiaQdShX+LMPleZ+oKekT7sDR/IeazDFcmKJQSwDAWrMiunGAatd90Na/MMyGqrFq9uDmicrS2vWWIqLXdyDlgZCwKJIXSEzWacnMEHzG7NFq2LkQggy1qFjzFtCQDxrVu1/1UNyESBoihcd347LjttNi4+uTVr/WWnzza1TZElGpIka30YVXhdhKj6vDZN5xWMpjQiBADiGOeuVpkOp4JwcnYsrJwHAIgnyfWbN6McX/vocfjsBWbXcWnEC5qi8Ur365BkCe0VBTpuFwGPYk+h6sJmN5JImSBIWrqMoih84oPzce7qFnzvkysn/BymE46b4wPLUPj0ee2oLs9PslRbj9mNZWipcWM4mjqkvpDTDVoh0ThczimGMWla6679zKjbO+cvAOP2IPL6a5D4NKR4XHlrWptU8CKvVQIDwJbB7ZBTSUjJJLjK4qs0f7Hxfjy+9xkkhASCyRBEWUS1XdfkLfK144r5l5Rc3o9RlL51A0Kvvwo6LeDdhR4k5rXk3e6RU7341/vG/jFSFIXHTvEiWOtG5fkXgi0zp2cySdb31/8Ed719T9ZxSEsS80N3qjRZkiSb/KcAgC3zgnY4AEmCLIqmSsfRqh4pikJb2Uz0xXQfMjXqwxkidQ5b9jGEEBHQs15yDVWCp6LnFz/T/h9+8l9jfayiwdA0zljRlLNdj5VjAMn4fVD4ycMbcdMv1mkRJkBvg/LFixfB49BTxQf6da1Wuoh+gO+fdTJ2Hozi4ed3o2cwBgqkYm1Okxf+5oyImMSiyaVXd9UbBLkThRsvXYIZtW587P2EwKlVhbyBZAEk0njhSa2oGYV4HA1Y1V6LX954Mo6fXzPqdrMayvDVy5biK5ctRZXXDlkmFZhHMsR4DD33/gLJ/fsw8vZbAA5N+A4Qyxj3yuNH3YZiWXjWrIUUiyG26T3wg6RJtJROafKOlJTGe4GtRD9q9WL78E6ICXK9adv4m7oLkmioLJy+lholTC1KJMuAwF/+BABwL18JzM9dEt1VzaGzzoJ9tWNbBNCgMORlsf7iRag893yTngkAKDZ3ujBT5J7pkQVMHckSJRlMDr2NmuqU+TRYQZ9pjtVT8ZzW9+dczho+Y65IlqqxUM1QLXX5SUK8Y0fedZMFKaXrtg72xbBtfxDxlICv3vsaeMXFXi3NZxkaZS6dZBmjFolkYSnpNssSfGThefjlI1vwzPpODIaT8LgsGpFzO7L1fstr9d6Tqhv8RKK5xo1brl6BmgpCnnhRBi+ISAtSzhTwsYBCUqIURWHujHKwDI3mGvKMONA/uvZouiPy+msYefstdN72nUM+lmPBoqK2t7fNAgCMvPOO1iNWTqdhUTz7/rbzMQRTIfjLZ2OWdybiQgKDIaJTpIokWUYPxK6RHgSUykLfJPy+SjgyUSJZCsR4DJQy2M2vWwiGzR6kti2vwz9OIxECGWOXn6taC0nZlnGaq7mM5qVGYhUXzLNYQcoeeKfKwkGS5ZwaJ1bpPdZzzy/g/s4vUBYl58iNcV4zPE24cNYH9eMnXFi7sM4cycpFsnaTBtlq1/vyM85Ew/U3ouLsc7K25fv7s5ZNNs70L9f+D4R0EX8sKaBTiVSpBqE0TWmptUwMhpM5zWtVCP1E1G8Vy/D7J7dpkbJPn9eOL31osWlbY/NlAHhf04m4btHV+NDs87Tqz8mA6lcmCBL29RKyMJFtjo5mtCiu8ft7j2ySlUs7xZSNt9BC+T0UaKFAOwjJN7bzAYBKxjzJdXJ2zPCQfpM9w51kXxvp7bl5cBvi/NjRRGP19C823m+qLCyhBKBEsjQkkrrw2mZ3Q8phIzC3Zn7BP3QAoJRSfrW6JtMRnuL015G0/lBVHeZV9MayScNURrJykSxLPUk9xbcTLVTDAJkxFmKSutQglP/Zp85BmcuiRbJ4islJshJ7doO227VIFm21wrlwEaou+hBm/vBHpm2F4DDEeMy0TJZljLz7tqmKcSJx/oI1aOCXI7l1VVbKT/XvUuVWNEWhwmNDa312r74ULyISz91oWpZl8AfmIrVjOba948Q/XtitrTt+fk1WW5dWRVzf4HPiB9euAgAsrJqPU5vWTmr/NDV6s3H3IG7/4zsAoEVoShgdzTUuUBSwv++Hm3EDAAAgAElEQVTIJlmxLbrdjaWxCXPuf7CoDhcmyMWRLMbhNO1nbSJEysd48JlFH9e2Y2kWDYpZaDBMbDOiVBqP7Xka9216EI/teQr8GE3fQymzDcnBKCmaKkWySlBxTJOsA9s3ID5CCA2fMlgI2Oxocmano+rr2nBa80lZy/OBoihwNIeukV7sDhEX4vIzz9LXG9KFRpKlhpxV7AzuAQDMMgjMp0r4LklSTmdua4O5FF+xjSqIZBkd0V12DgxNacJ3nmJhN2iy+OFh7PrsteD7+2BrbcvptcP5fGAy3JjTPT2Ib9+mpQ7j27ai556fo+ee/x3z/FQk9uzO0n7lA0MzqJcWQY55s5okdwVIJEtNF9I0BZahcfOVy3HhiTOzjtUTGMlaBgBvdwQA0JAiVUikxtZuXXrabCz3+/CJD85DbcXU6Z8yLQncDi6ns3kJ2bBZWNRXOrG/L4I0ny0TOBIgCwISe/QJgPekkw/peFwlISwWX2HVeWxlRcZrsr+USpkc2FmKhU8RqIciJAL1YmADnut8GQDwas+bOTWyKoLJEN7uf8+0bFdoL+ysHU726NYbllA4jlmSdXDXRqTuugfv3X4zAEBI6yTLanfBk0MHwPmq0VbWUtT7XDLnAqTEFB7e+SgAwPfhj2jrWI8eyTCSrH0ZFYZqQ1/VMgCYWuE7nWMGaexhCACzyttwQdvZBVXQWDP8xRiaglUkVhE8bY5kRd94DXKarLPNaMl/zHpzy45UTze67roTXT+6HQCQ3EuIai5X51yId+zAwR/eht7f3FfQ9gBgt5LvZNsBcyPaDsXZXTKkC1U0VesRnkYfSSd3DuQmWb1DJDr34VPaCmpJU+a04LMXLkRLbXbEbDJB05QWdGBoCnd/Ya3JI6yE0bGwrRJpXsK2/YU1NJ5uSPf2AKKIspNOwcw7flx0U+hM+C75CCrOORfVV1xd0PaMw6n3OKQocIoDvJSIm5qi1z2/CfHf/h84ikFYiWSlOMokBVH7gubCL9/7LZ7e/2zW8ip7xaRGiks4snDMkqxIP/FPqewjA5rAE5K1u9ECi8UOxuEE5TLrSDhfNRb7FuDSORficv/FBb3P6voVmONtQ/dIL8IpcwrApgg0ASBsCDu/0PUqHtvztPZa9ciqc+hVSlMqfM8xoDOeMtAGz6y1TatxxoxTCjomRVGws3atzLl3KIYZCeICHmWdcFhZCNEIhHAI0Q3rtf1UHVguZJK+dJfecFeIRCBEyPUdrcGsEUKQtDZRK6MKQb1Sebi7ixiKfurc+ZjTWIY9XWGERlJ6JMtwORe0VuD8tTOxdmEdPqQ0F+7sN5MsUZLw9xf3aG145rdU4OYrl+PS0+dgQWsFrju/veBznCqo1YQuO1cacIrEcXNIxOadnYHDfCbjQ6qLGOtam5rAVVYd8vdP22youuBiMI7Co0NcFXm20HYHuCpyPfmhQdAUDTfngiUtofztXYi98zZO3SrgxFeIJCPiKvy52hPr0/5fXqMXlaimyyWUABzDJIvOSLe9vlEhNZXl4JSUV+MXbzRto1YHntR4AtY0jF5KbMTcCiLW3jpEOrt7Vq8BQEqSVRgjWQDwnwMvaIJ3QRHF1xlC3VMnfM9t7klRFCy1hpRqkS0z7lj7bdx8/E0AgJlyGG5RF5lat27Avq99BXtv+hJSBzv1t3DkF0/bZhKCopKoxO5d2rruu++CGCHERxXfpvv60PfgA5DSuXsFUoweTev+358idfDgmJ+pPqNnIsvQWD63GjJIqi9XJItlaJy/diau+eA8LJhZASvH4OCA+V7YsGMAT71xAFuVyIbHaSFWCR+YhxsvWYKV80a3CDgcqFMag1stx2ZV4aGgtd6DMpcFG3cPQjwC/bJCL70IAOCKaEUz0VBThKAAzkf+5wcIaV1SvRAtPWnQyu9x3kadzIYVkqU+m7gC5A8AcNGsc7X/K0okqwQDjlmSlU7owmg+ncSCZwgBSvj01Iq9tQ11131Wez3eGdmCqnmgQOHPHf/EwzsfQ9VVH8fsXz1gcnwPp7OFrjGlukVQ9ErlhlA3M0XGdlKeSBYAE8kqti8ZQzMaUVxq0yM3jckA5Mf+krs6aZSZrHvFSsy46go0f+NbYMsrkOrUU66pzgNaRIpVTEw7b78NkVdfQeiF50zHUSv7jOQrtuk99P763jE/U32GhxZLU1jmrwYF4MV3u9E9GAPH0rBbcj+4aZpCY7UTvUNxzWMKAKIZQnh3nsrE6QTViPRoaxEzFaApCktn+zCS4LGrKzT2DtMI4sgIksoEhytQQzUZUHVcciqlTWbVIp2LZp2DtcPZlY7r2x2IOGl8fvEnUeesQWtZCwRJzFntmxL158O1C6+C2+JEs7sRFCgsrJo/GR+phCMUxyzJEgwkKxXXB/kZJ51l2i6zfct4UOeswWcWX4MqWwVe6lqH61/6Btb1bUDCYNUQTWWTLBlkoFXtHYyi8sNdXQgAltriZqr5rAnoHBYVFWefQ9pbWCyY8d0foPqKq+BYsDDH3gQUTaPxogtgqasHbbXm3U6FNEK+cyNxliUJXT+6Hb2/uQ9yylyFKETy9xRUYbeyaG/RZ7EMQ6PcbcWKedXoHoxhIJhAXYVj1LY/zdVuiJKMnkH9/hw0WEK47NwR0Y6msfrQmk8f66hWmmlHRnJHWqcrxChJy3NVPlh81YftPNT2X7IggKusgm1mK+I7tkOMRsFKMjz7BsDV1GhV0oEaB15f7MKCqnmYVzkHAFBh80KGjP54dsPunUEi7H//jFOx2NcOmqLxPyu+iLtP+T7mlLdN0acs4UjA9H9aTxLERFz7PxggZbeBNh+W1y8zbWefNRueE9ag4Xpz6rBYtFf6cfFsPaT8545/4vtv/lR7HU5Hs4iT2mJFjWSxNIMbjvsMrpr/kSnRuUiSjFRazGskaUwHyNLolVCJXbuw61MfR2zrlqx1spi9r6WuHs0334KW234Ia309vCefWvhnNlhlZNpmSDyP2Ba9AbgxBSkEh5HY2YHom28gttncJFxtzzEWbrxU12aoflHXnteOGy9djNULanH2CaM3nG2qUcXvhHRLsoz+oP7eTvv0j2IBwIq51Wit9+Cas+cd7lM5IqGmWY0dA44EqM7prmXLxthyckFlTLRcy1cAkoTIm29ACJLG8va2WWBc5PfmUBq8G5s6+8uJzGP7sC492DbUgfs2/Q5P7yMR8PbKuab3KaS6uoRjCwXdEX6/vxbAbQAWd3R0rMixngbwAwAjAGYAeKCjo+MNZd3pAC4CMABA7ujoOHQL4AmAlNCjSJH+g+AAsyJZAcWyqP3EpybkPd0W8+ze6IcVTkXgsbhx+oyT8bedjwHQI1mqJoulWMXGIbvsfzIQjqUhyTLK3bkjQ8ZIVi6i1Pvre2FpaETlB8/F8NNPAAAG//l3ONvNffVy7UtZrbA2No3rvClGJ4WWhkakDuzXXqf270P33T/RXg/84fdwr1gJ2moFH9C1GbEtm0FZbXpEaxSDUNN7U2a9FUDSPwtmVmLBzLENCpuUCNA/X96Lec3luPV3GxA3DLRW7siYF9mtLG6+cvnYG5aQE7YjlGSpz1XafngtDBx+Qu49JxD9q+f4VRj+12MYfOQfWrcIirPAMb8diZ0dqJl/HM5qqcNpTSdqx5hbQQqT1vW8CStjxer6FXhk95MmwftMT/NUfaQSjlAU+sReC+AxAPlCCZcA8HR0dNwG4H8APOT3+xm/3+8AcB+AGzo6Om4FsMjv9x9aPe8EQTJofhKDitnnJKdhXFzuFIosy4imo/BY3Ti5YTVW1xEeK8oqyRKU02MgShL29Ua0SrXJxC2/JZV9+UgWZ0gH8AN6SF2MxdD7m/sQXf8mhh75B1moarZyNUBWSJZkuL1oyziNC2GOXmX6eWVCFgSEXyFNwdU+Z2SFDN+lH8mzV2FgmOKjjaqNQ3gkjSffOGAiWABgOUbb0xxrsCnfczJ9eEiWlEoh9MJzkPjRzTgBIPTi89j5yavBBwIGklVYFe9kwdbSgpYf3InqK68GALDeclScfQ7kVBJ99/8KAHlOVJx9Dmo/eS1qL70c57aeaYpkVdjKUe2oQm+sH3/c8TccjHYjxutp/AWVc6esAKmEIxcFsYqOjo6/AxjNgviDAF5Xth0GkATQDuAEAAc6OjpURrNO2fawQ+Z1rUN6iBjRYZJ/MG5L7uq4uJCAIIvwWNygKErzmuqLEeIiyiJoigZN0Xjk5X343u/fwqubeif1XAFgJEEesGXO3ITHKNyPvLZO01wNP/0kom+aW1pQymeSM0iWLAia4WeC0ckcdQgkK2kwQrQ0NIyyJYE6MBgjWZTVCk9GM9pCjUlVsEUWAwAwpWYP5vDLOlZ7AB5r0CJZBfaynCikursQffst9P3ufgz88f8Qeva/Y+4z8IeHAACR19dBUmQYzGGOZAGApbra9IxSK4vFKBnKKJYFRdPwrFqdd1LXVqZnDTqCuxFJj6CtrAVXzrsUl/ovnMSzL+FowUQlkKthJmERZZkvz/JRUV7uAJujrc1EwOcjQnZG0FNUVFgp7+cYbf1UwedzIxUmg2lNWSV8Pjd2vklIwq83/x4PX3ovKJqUEvt8bry3h7jB7+mN4uLTxz7X8XweSZJNIvXqKlfe41T+/S/Y9bOfY/CVdbAN98Iz148IzAODz+fGkI3DCEiwUD0WH41i4xe/ivQw8aSKM1Y4lV5glTXlcI3j3H0+N3YaXle3z8Hg38j/looK7b2MYEbC8PncGI7q6Vvf2jWoaarGbsN2ZZwEa1Xh5+Ty2MZ1/VcvqsNrm3qxt4eIiE9b0YTnNhALCV+Fw3TMqb5fDzeOlc8bTJDf0J/+04HmWg/WLK4fY4+JwZs33ql5ygGA3HtwzGu+z+sFHwqBjoYw/MqLAICqWc0oG+d3NVnfMeXzwtigzG7nxnyvC9gz8HrvBgDAI7ufBABctuQ8LKqdOK3hsXJPqzjWPu9EkawBAMYr51GWyXmWj4pgsDCRcbHw+dwIBAjnExN6upAaJg8VUYa2frLA0Rx4SQ/BBwJR7BsmUSmLaEUgEEUwETatT6RToCkGgUBUIz+JRHrMczV+3mJw+x/exs4u/RxEXhj1OPTM2cAr6xDYuQ+pynokEuYUQyAQhdppRkjx2rF67rvHRHp89T5gP3nfUExAoshzz/V5U94a2Of44VqyFKGXX8xx8jQi+zsRCEQRH9Idtq0rVyMQiMK59DjE3iX99wb2dsEmFx5hGxwcQWAcdguNGVYQHz1tNmLxNN7Y2o8zjmvQPuN4v98jFcfS500n9Ej77Q9twG+/9r5Jf09Zlk0ECwDigaGc1zz61gb03ncPyk4+FbS3HAiFEHjhRW19qqphXN/VZH7HI0mz9jO4fSdcY7yXC15cNf8j+P22vwAAjq9dhjqmccLO8Vi6p4Gj+/PmI4/jFiH5/X6n3+9XjVCeBEkNwu/3VwCwAdgKkkKc4ff71TzQGmXbww+D1sAaUcTN40jvFIs7T7zV9DolpvHzjb8BAHisxMNJMFTqiZKInlifZvegavOlSZJkybJsIlgA4G/y5tmaQA3Jy7wSwcpxHSmLuo1+3eMZlYZ2m05IaOv404WV512gH8fpRNNXv47y958FSkkH22eTEm3X8hXgfD6k+/sgpVLa+cy49XuwK2789Z/+LMo/QDLcQjjbxkGWpKwU6BcuWogls6rQ1pDtxVMIfN7sFjRXnunHXZ9bg7rK/IasJRw98HnNmqbB0OT7jYnhbE8uIZS7tU/vfaSnX/ilF8CWme9zS1190b55UwGuypxEcS09rqD9XIZeqzPLSkL3EopDodWFJwO4AkCd3++/GcBdAK4GsBDAdQAeBrDU7/ffAqAZwJUdHR0igLjf7/8MgP/1+/0BAJs6Ojqey/UeU4lYIgkhRiJZPEvBGVfIATP5ehcLY45s9Izo2iqPhTBhY++sdT1vmrZX+whKk8SyMoXWP/viWrgdoxMetdG1JBACpZZFAwBoGsn9+7UKP5VkybIMKWn2onLMnYfEDmIKS1vG9rrKB/vcecDjpFekyfZB+Z+yWDDr3t+AYln0/OJniL23EZ3f14tejVWNFMvCqrTs4VXtngJZELD/5q/D1taGuk9dpy1fOseHpXPGb8RYU67rWdqVxso2CwtbHhPTEo4+ZHqpbT8QxIneyRWTpwytqFSIiWxylymGF0Jmctb09Zsn9sQmCNb6esz80U/But0QwiGw5YU1LTeSrFrH9OuuUML0RkFP7Y6OjpcAvJSx+B7DegmkqjDXvv8FMLZ6cgrx8o++ibYAqRKJOy0oCxPCNVWzr3KrV7NvUCsIAaDMmh1u3BfpNL2mlIfvZFQX3v/ENry2RS9PPuv45jEJFgBQnDlKJRvIE8Wy6LztVu21pBQcyKmUyRbB1toGxtAw+1CE78bG20bQNpt2nmr0zd42C7H3NiLdk78RrK1lJsAwGHrsETjmzdeaUQuRMPjBAPjBACrPOQ+WuonRzTT4nLjyTD9AAacsGVu4X8LRiZXzqrF+O1FXbD8QxImTrMtKdROSxbjdmjg8V+cFvq/PvJ/BIsW5aHFRPQanGpzS/1R1hC8EHsNzuck9Ndq4Eo4eTL+Y7hSAbiUmcwkLBd6lR0ymquz4qyu+oEWthpN6OL7Mkk0O+mPmJrFaJGsSSJaRYF144kxccuqsUbbWoVomiMqMVrXHoJ3OrIo8lYhJSfMMmbJYTA9nihu/6SbjzG2VoTWKNVg12P1zc25rhKWuHjVXXg0pHkfwv//WlosG/Upi797xnm4WKIrCKUsbSgTrGMcnPjgPt39uLTwODru7x+44cKhQm6rb5/i1ZTLPm+xuALORcybkydIxHEZ4rWW4pv2juGXVV2Bjs1P5JZQwGo5JknXmx67DsyechX82r4bk1kPBE9FCpxB4LG40u8kAejDarS1XzUo/v/iTAIB5FXMwmCDVhK1lLQB0udNEP8yMvfKcNhanHje6v5QRahub4H//jfArL0FSDDwZlzvbF0t5LWWkISiWMxkYHkpUkXG74bvkMjR+2Rxc5aqJJkMwiO1tM1oKOqZ7GfEuE4I6KTa22pHFI8s0soTpD45l0N5aCa/LqtmpTBYCf/sLIq+vAwDYWlpN68QRs5XIaN0PnIsWTfzJTQMsq1mMasfh68VYwpGLY5JkAYDonY+DaAMMqSXOnTvNNBngaBKp6YyS2eOKmqVaS4YZHkJwYnwMMSEOf/ksXL/0WgDGSNbEno+xdcuC1kq4imjfYmvVe3X1//53mtbKpM3KQKYei+a4CU0zlL//TDjmmsus1UiWERTLwjGvfczj0TYbKKvNJA4WjUL4Ij20SiihUNisLJJpcdJ0mAAQ/PczAADa4QDjNk82xRFzNVg+ktX41a/De+q08JouoYRpg2OWZKm9weDWK2OsrvFVg40HFoZojgLxQdAUjavm6+7iqhlppxLlml/p1wjYZAnfjQ2JxSKPTWUUDKjpBbVJayZkQcgiWVxt7aS34rDPImliewb5MrZTci3L3wqG9ZZBCOnEyuQnZPBdE8IhU3/EEvIjumE9Dtz2HQjRyNgbH6NwWMlvP5kW0dkfRVcg26T2UKESq5qrPp71u82MZIl5SJZjjn9KeqqWUMKRhGO2XEl1zmY85doym2d0q4KJBKeQpoSQBEsxpocTndEo2ug6rFYdFUuExoKRZB0qgVMrBKk8FYJSIqFVLVWcez5ojoP3jDOzUogTDUtNDVq+f3tWybkKW2sb6j/z+bz7s2VeJAYGIIsiKIYxabKM6cID370FYjiMGd/9viaSLyE3Bv70B4jRCPbe8EU0fOkmOBcsPNynNO1gs+otdm79HTHGnAzfLEttHdzLViC+s8O0PDOSJcaySV7dKL+bEko4lnHMRrIsiqM849ZTSA5PYSW9E/L+SiQrLfFgMjq3M5T+tVhoTtNvCaKE7QeIJiiZzm6qfCiYSJKlwm5IIxohxuMaoeIqK1Fx9jmgOW5KCg8sNbWgbeb3cR23DADgXp7V+9wEzlcNyDL6/+9ByLIM0ajJMqQL1TSiFItlHaMEgv6HHkT3z++GbaY+gei++67DeEbTF3YlkhWbhBY7YjyG4H+egRiNguLI+2S2xBGjZlKV7iWVuO4VK7VlDoNYvoQSStBx7EayLITIGEmW01M5Ze+varIAgM2IXNEGktVSNkNrQvrSRt1mYKIax4ZHUnhvzxA6DX3y7NaJ8QsrO/VUBB7+c9ZyKZHQqguNhEe1VbC2zMzaZzJRdtIpcMydrwnj86Hy/AuR6tyPyKuvoPz095vThTmE7xQ3fhuKox3hXO77JeSEXfFHGwonx9iyOIiJBPbc8EWtQTsY8j6qcbCKVJfZRibd1QXabkfttZ9B1SWXQQgOZ+m4SiihBIJjNpKlGjvSdp1Y2Q2aLFGSEE9OXkWP0ZSUztAxGFOHRl8WY4VRIjUxJOs/Gw7iwad3YCCYQLnbipMW1xVs3WCEI0eah+YsKDvplKzlUkKPZGVGr2bd+xs0f+NbRb//oYCiKFhqasbUk3AVFfCedgYAILGzw5wuFHJEFmUpe1kJo6Lvdw9ASqfH3vAYgjrpGTC4vssTYOEiBId1ggXdioXzVcOz9kRUX3E1ALNVicSnkR7oh7WxCRRFgSsvzxuxLqGEEo5hkmVXhO9pSSc7XQHyEOMFCZ+680V8/u5XJq2dhTGSFU5n93JaVr0YADDHqz/A1LQBMHHpQiNxa59Zgas/MA9lruLd1us/9wUT0WIV07/K8y/UnNZViPG4JnxXDUJV0Bw3LVtyqLDPJmmR+M6dZguHHNWFOYlXCaMisu4VBJ956nCfxrSC+rsPBPVn0Rtb+8Ef6v2VYa+ikiyKplF79SdQduJJZDODT1a6txeQJFgaCrd4KaGEYxnTdzSbZNiUB1ciLWDPygV4uWUG7vgTaQT84kbdu2qyTAAz2+tk4qPzPozrl16LBVV6JZxRKyVKMlJ8cQ/Zt3YM4K6/bjQ9nI38p/4Q+uLRnAW25hnaa/eq1QAAtqwMTV/9hmlbcWRE89LKJFnTHVx1NSirDenuLkixmJYmyZUuLHlnjQ+lSJYZarrQGMn6zRPbcOvvNhySfjKz56bqd6eComlQFgukVAqJ3buQ6u5G6uBBAIC1RLJKKKEgHLMkS31wJVMi+PaL8Rp7shYdMkbiExMsMFdhjGTlgpWxYE65OW3X2W+OeMWKNCj85aNbsHXfMP6fvfMObJtO+/hXsrwTZ++k2XU60kFL92ZDaYEy+lK449jHOgrHeA/u2Lw9rszjOKCUceUYpWxKKaOs7kFn0rhpk47sPWwnXtL7hyxZ8kicxEmc5vf5J7L003Jk6dEzvs+hco8Yp93hudGmxvet+bC0FY7wVgwA2vx8pN55N1L+eDsAwNnYICq/D7W8JYqioIyLFZN/mVg+3Cx4sqTSFJyzfwUkTyfil1whTpP8HjmCJ6vOy6te3WiV/ZZ7jJeR1Vl2zGeIIjISjro6nFrxFE488hDs7tY70v6eBAIhMMPXyHLnOXTYnOi08YaUkqFly/oToboQAJaf8cduxxeVN2F7cS0AINHdKLa3IUNpiFDqDUuN65tOlbQVDu3VezBi/ARosnklaUdDPTi7w2edoYK0sSwT6552ewelTaRJuNCDs6UZFc+vRN17a8T+lVKizzpH/F7pIXhN9CdiTlazrz5VU3vvk+EFT5YQ5o+9cKHPmIjxE8FaPVWygidLlUakSQiEYBi2RpaQ+N5hc4qVekKeljQRvb+09aQyDXnR3VfTbdzlqfBRKvl1exsqkK5nd7fTmZAXj7iovoXupJWCTHSMz3ImOgYUw8BeVyd6sobiA1Uq1qh0GwZCaNBR7+mL6C9Pa7hiKSqCtegQWjb9gI6SEp/lFMMgcdm1/NjiIrTt3I7qVa+S7xAeT5a/XPc2cx9Cq24jS50xAnn/fh0x55znMyRyylTZZ2tJMdQZGWHdBJpACCeGrZEVqeMf7i1mG35ySyMIeVp2iXfHu/IvVAj3S70yuJuVXeK1Urk9br0VJJVW0dkcLlAUcOeSwj6rNUtFPkUPj3S/NA1VegZsJ0+g8+Rxft4QNLIoRiK/Ec0L2ArGgKO+TlxGcrI8sJKmwvbqatkyZXIyQFFiTpBl317UvP4q2ndsh6W4aECPMxzRqAMr7fy8v6rXCfCCJ4uiadABwvaanFz5b5njELtwUa/2RyAMR4atkWXQq0AB2G3yeB60KgYtZhvWbz8hzmNDUCrtDcdxOLSPweSo2fjLlOVBreOUGFSCMeT0br7cC+wOF1RKRUjaYQgGBwAoY/1rjsUtXASwLJyNfOPrIWlkSUKhtPuNXjCybBUV4rKmr9fDZbHA0dSE+rUfoOy+5aj/+KOBPdgwQarm33niuDitzspG+r0PgKIo2fcqYJOMHa4IHnZ/NLfb8MkvZb3bsHD/6KKal6JpRE72iI5GTJ6CiImTerc/AmEYMmyNLEZBI1Ivv6lr1Qp8ueU4mtpsiHIvc7lCb2Q1tnVi054q/PqdHtHq4PolOl2sz3RPji2QeKndwULNhOYyUER5jCxBwsEb/fgJiJrvaQkSznINgZDlnrl1vji33pDtlCesa6+sQOVLz6PyhWfR/O03cDY3w7xn98AebJggbSrcvmMbAD4HKPPhR6B0Xyv+DG7r4eKBOcAwRtuFJwvg8zV7g9ST1RVCyNAwaw5Sb71tSP5mCYTBYlj/WqIj5EaWw8Vi88FqxEdpsOyckQCA/353BK1mm8zI6Su9cY75M6i6ChfWt3TIqg//+fFBcVrqs7I7eU9WKGAMBs8+GP8PBoqiEHPO+SHZ32AhTeqn1XweG+d0gnM6Ya+qlI3tPHYU9qpK6MdPgCY3D476Or+J36c7Lne4UJmcLM7zNqq8G40DQMfRUrjc7YmcZjPKH34QTV9/1Y9HGn4wChoKSRNztVKBW2BV0OYAACAASURBVBaNwbTRSQCA0Vm9bAcWhCcLADRZ2Ui9/U7ELby4d/shEIYxw9zIkuvCHKtsg8PJ4pwzM2Ths+Uvb8Hq9YdDtt+ehiCPVbai0t1bcJIxAeNz4wEAG3eexA53xSHAVw22We2w2V144NVtWP78z+IyoechwIce3/iqGD/vq4TN7hKbZfcVSqGAOitb7AUYCMYwtEv0FZEeY5JWqwGFgjewqqvBOZ1QSIxNgahZc8AYogCOEysrhxOCoZTx5wegcIeVVckpsjGq5BRETpsu83SCZWE5xL8gnProYzhqatDwybqBOegwQmgMPyEvHv9aPgdTRydh3kS+wq+3L0kcy3tfg/FMRUycBGV8QrfjCASCHGJk+WF0ZoyYGC8gNWb6itPZM6/YU2v2AAD0Gga3X1ooVjweONaI174oElts/HX1Dtz90mbUuku9qxstcDhZnxYcazaasPVQDd75xgRLpxMqZegug8yHH0HqbXd2OYZSDy0BUm+kicAUowSlUIBzucRQob5wvM86urGFgPtBKTzcTmfad++Eo4HPd+Q4DvaqKlAqFRRR0ch55jlkPPAXREyaLFuHUiiQcuMtMEyZJptvObAPrN2O2o3fAQDUEtHb4QKj4K8dBU2JBpfwt9eCpMJ6JPxHIPQbw7ZBNOAbLhRQKxVIjdfDmBEN06mWkO/X0cvQo+Bda7PKPSF1LR1IitGh1V3OvfOwp8KtrKoVBn3g87Q5XKKcxUBBURSYmNghKzqplBpZSiUohoHteDnMB/YB4L1WjoZ6dJjcUgU0zbcLEsJhIQw9hyO2qipUv/oKKJUK+a+8jg5TCRy1NYiYNJm/hikK2vyRAdeXSoEooqLRvmM72nds92z/5Am4rNZhKSNAS8KGQuVzb42sYHOyCARC7xnWvy6pJ+uR684Up4Vqu/F58bLxfe4V5sbWRxX5BWfIhQCPnJQbgt/tPiVOm061oLy6Df64ZHY2/nBBAS6fN/ANXnP+8Rwy//bYgO83FEjFSCmlUkzqNu/eBYBXyU6/5z6k/ekeAEDi0qvdg/mfm3c7k9ONDhMfWufc7XHatm4BAL86TP5QpabCMH0m0u6+B4YZM/2OafzisxAc6dBBcEZLc7OE6V5XQAeZk0UgEHrPsP51MQrP6SslFXZC+Ex6QwOA+pbeqytLOVFr7tP6KV7K7EcqWmQhQYckHGntdMJs9Z8DpFYqMHt8KrJTfHOICIGReuAopRKanBzZcopRgFIooC8ch9zn/4mo+Wfx84Xr7TQOFzrb2lD33zXiZ1tlBVxuxXBVampQ26AUCiTfcBP0Y8chfvGlSBCMVACGWbMBANZDBwOtfloj9WQJaQO91cvrSU4WgUDoHcP615UQzecGpSXowciMLLfyu5eR5d07rLeUVvQuBCkYUgqvm+KRUy0Bm0XbnWzgm3A/qdmf7kgfSpRSyTfAllbGKTzhV0VkpKeIghY8Wfz/o23bFhx/5GG4rL7tUoYqHUdLZZ9P/WNFn/pUUgyDmLPPFT/rR48FExc3bJtI0/3iyer/NmIEwnBlWBtZxhExuHNJIe5bOhFKiVdLyHXw9mQ1hMjIamrzeMRCIXZa39KJEq+QYcEIvoLL4XDJhEwFxubEYlZhis98Qs+gaBoUw8jyg/xJEfBj3fPdHoSa1atgr6xA45ef9/txDhSutlbZZ9Zs5sOGFBVQ1iMYhHUpjRq0UgVumMlgCL9g6T0pVInvFE3etgiE/mJYG1kAMDE/AQa9CgqF743G25MVyFvUU9osnvCdoweVhpZOj6Cot0D7S+sOAADSEyIwdXQSrj6bTyx2uFi43InWvz/fKI6/9lyjLFxK6Bkpt96GqLnzRbkGWuOpmAxkZAn/tNYtm2WemJbvNvbfgQ4gHMeh5cdNsnlMbCxYh4MvEOhDV4HMR59Exv9cBf3YcXwe3HCTwRALAX2NrN6HC0lOFoHQ3wzr6kIpEVolJuTFY1SWR6nc++b18c9l6LC5+pQoznEc2q2eB6zd0bVO1c7D/qUj8tKiUFrRCgVNyY5zdFYMlp6VD2unw719T7gwJU6PC6aOgJKhEd/HZtDDncjJU2TtRqQVcYGMLFcbX4DQvGE9DNOmi/OVCaeH/lBneRnslRXymRwHzuGQ9XvsDarkZCQUXon6+nZQKt6TxbHssMsnUkgMVWGa63NOFgkXEgj9xfC6Q3UBTVG46/JxOGdyhjjPn8r715K+hr3B5nDBLvFedeXJam634dXPPQ1yfyfxRN1xWSEunZODxbOyZeto3H3OhER+h9MlGlkKBYUr5ufhktk5IelVSPAgtNcBIM/PkuBo9rQ/OfHIw575TU1i78OhjMvMF3QoE5OQs/J5KBMS4GpvB2e3g1KFrkelOj0dYFk0fPyRKHJ6usO5XVlST5bQOLqsuq13lc/Ek0Ug9Dvk19UFoWylI+CtcdVVCNJ0yqPSPiozBvMmeKQbInUqXDwjy0cDS9DgYhQ0KIo34oSWPAy5mfYbmmyPsRvIk+VsbPC/sssFe3VVfxzWgCIkuEcvOAtMdAxUySngnE6+lVBHaPIZASD2okWgdXo0b9yAiudX+ojtno7YHfzvWqruHqFVYs74FFQ3WnGorAkVzz6Dhs8/DX6jEp0sp4vtUeoCgUAIDvLU7YJAyux9Mb7aLfKEXeHm6Q+p/lVTu83vGJ2keaxew2BcThwAXvBTySjc1YX8PrwT+QmhwzBjNiilEvoJEwOGsJho36bZ+gkTAQAnHvsbbN6hNvDh5dbNv8LZGnpR3FAjeOOEJHVVuscrzNn8X7+9QRkbi6yn/g+6sYWwHS9HxxFTyLYd7mQlywV8C3N4Lb+6+lZYDxejqQdFFNKcrBfXHcDd/9wsFvd02p398pJJIAw3iJHVBQ5JU+alZ+UjMZoPCXVlGHVHmzsfS2iTYQ/g5t9X2oCf9nm8G3VN/sv89RqPkfXSn2bDOMLzIFcxNBxOFk1t/AMuQhe6kA1BjjotDXkvv4q0O/4UcEyq17KM/30Y8ZddLn427/3NZ53OY0dR+/ZqnHjsb6E72H7CI9XAX2fxl1zmc86hgok0IO6iRQCAlh++65d9hBOCNl5eepRsflIMf09qrmkMeltNX3+FmjffkHmyisqb0GFz4v0fStFpd+K2537Bi+5iGgKB0HuIkdUFTkno7dwzMzA2h1f6/l6iqN5T2tyerLiowAYby3F46WP+BpfovokuO9d/GxKdxmM4eedZqZQKOJws2q12MAoqYK9GQmgIWFXoRhkXB8OsOeJnTWYW1KlpSL3rbgAA55SHkjmXCw2ffQKAT5pv2vB1WIfGWBsvTSIkuVMKBXRjxvDTqp5rZHWHJi8PqrR0mPfvA3uaSzo8uOwMPHXTVBh08u8xwf3i197Y7G81vzR8sg5tWzeDdRvFoGlEuVuMlVW1iS9lReVNgTZBIBCChBhZXRDtznfKTI4AAFwyOwc0ReFgefBvjd4IOVlCdV9Vo2/irlT3ZtLIBLzxwHwsOCPd7/Y06sAPdrVSAbvTBYeTlSnaEwYPmdSDO6ymiOBDQJyXV7N99050lBwWPzd8vBZtv/4S9L44pxMtP24asFCjvYr3vKoSE8V5tFKFzMeeQtZTfw/5/iiKgjY3D3C54KgNXQP3cCRSp0JKnN5nvlqlgEpJgzP3vIuEs4W/LiiaFvuetlrsaGj15M85nC7YQyRdQyAMR8iTtwvmn5GGK+bn4o5LCwHwiaZatQIdtt7fdIScrDgD/7B9//tS7C6pk42RSjJMzE8QxVH90VWelVLJhwvtTlYmtkoYPASxTibGE9YVjC3Lvr3oLC8T53ceOwpAXrlo3ucbUgxEw2efoO6//0HTNxv6dMzB4jK3AwCYeHnPT3VaGpQxvvlooUDp3lf9Rx8CAMwH9qF18y+nfX9IKQqagtre864Bzib+ZfHwKbmArFTY+OE3duD+V7f17QAJhGEMefJ2gZJR4IKpmYiShNm0agYdtt6X2ws5WVKdqh/2yBOeBU9WWrzeJwfDG+8WO1KEcCHxZIUP2rx8AEDUnHniPMHIstdU4+RTj4vzHU18uCZi0mRxHtuDBHLLgX38dqure328wdK2YzvMe3YDABQ6X49Lf8HE8iF8a9EhcCyL2nfeQu3bb6Lh048H7BgGG5qioHL0vHrTdopPe/jxiLyB/OETntBjfUsn2ix2VPvxuBMIhO4JSozUaDSeDeAyAHUAOJPJ9JjX8iwAjwEoAjAGwHMmk2m/e9lxAMfdQytNJtOyEBz3oKFTM6jtQ3uddne4ME5iZJk75Lk4gicrOVbeCNofXXmyVAwNu5NFi9mG+GhtwHGEgSNq3gKoMzKhycsT51EK+c+Q4ziA4+BsagKlUkGbb0Tb5l8BdG9ksQ4HLPv3Qj9ughi+Y2KiQ3wWHqpXvYbOsmNw1Hu8sd3lpoUS/bjx4jRrscDVyntlOsuODdgx9JTO8jJQKhXUaf5TAHpKprkSo6r2dzmG4zi0bPoemmxPM3PBk1VuoQHJv+xETbvP+juKa3HJ7Byf+QQCoWu6NbKMRqMOwKsAxphMJpvRaPzYaDSeZTKZfpAMewHAOyaT6VOj0VgI4F0Awt3vbZPJ9GioD3yw0KoZ2OwusCzn03YnGNqsdujUjEx6wbt/4fvf8012Syvlbnx/+GsHJJCRFIni8iYwChpnjIwPOI4wcFA0DW1+vmwerZEXJNgrTuHUs8+ANZvBxMZBnebRR+O6aYzcvHEDGj/7BBESNXqh6i/UuCwWtO8Y3FCSQqdH1LwFaP1pE+x1nryscBV3dba0iN7KvFdeBx2CgoBFxyVtmQIYuB2mEtS//1/fBUolOmn+GM6bkoEf91b6LcbZXlyLxbOyiYgxgdBDgokhTQdwwmQyCa/QWwBc5DUmH8BJ93QZgHFGo1F4qs8xGo33G43GJ4xG44w+H/Ego3UbR5323t3E2y12ROpVsvCdd/uebUU1ADyViF3RlSfr9svH46U/zcYr98zBFfPyAo4jDC5MVDSUCZ5k8dbNv4J1JzKzVgtUKaniMpe167CN4L0y794pzmvfuUNMcg4llv37xOnIKdMAAInLrg35frqDieJD6rYKT9Uv5wrPZG3LQY/HydncjM4Tx0NaMSrrPCDd76GDfuc3QQNQFKaNScJVC/KRnhDhd1xdcweO+/FwEQiErgkmXJgIQPrranPPk7IZwDQAewAIr9AGAA0AHjSZTDvdHrHfjEbjQpPJdLSrHcbE6MAw/RNySEiI7H5QF8S4w3xavQYJQYTzpLhYDuYOB9KTIjFpbCo0qoPotLvAdXFc3R2vtJ2Gv7HZI2J7dIxDnb7+fwcL24Xn4cQ7awAAlj27xPlsZyeS0uMh/GDY9nbEx+lB0TRcNhvaPvkAaZcuhsZd0deeEAOfRyHLwr79F6RcG9pIfd0+PgfrjFdfhjYlhU82p6h+9Xb4+/+60pPQCKBuzTviPAXYsLwWGkoOidPHH3oAAJAwdw5G3hNYT6y78zgimWbUar/jK0v9C7ZaFLxRNjonHgkJkZgzMR1lVcWyMdMLU7DtYDUOnWjBlHFp/jYTUsLx/9afkPM9vQnGyKoDIP1WDO55Uu4FcI/RaFwOoBlAI4AKADCZTDvdf61Go3EfgJkAujSympt7XikTDAkJkaiv79vbmN2d9P7nl37Bs7fP7NG6bVY7WA7QKhXoMHfi5bvn4KE3dqDT5gx4XN0drzTU6D02FOc7lBjK56ucNgcRB4ph3rsHDonXSZWahvr6duS9/G9U/ftfsBYdQu3xGigiI2H7+TvUfP0NGvfsQ/ZTKwAATr28UCLjL3/DqacfR2tFdUi/G2d7G1r27Yc6KxtmJgLmAfjeA/1/7VG+DbadNkdYXgvtZcd95tX//Atirr3e7/ieXtP1bTaf8a72dljKyvyO17psmDshFbPGJKG+vh1njozH2+vlY4zpUdh2sBrbD1bBmGbAyIz+y/Ebyr/h3kDO9/QhkPEYTLhwG4BMo9EoJI7MBLDeaDTGGo1Gg3teKoCVJpPpeff4b00mk91oNJ5lNBrPl2wrD0D4ZqQGQYKgsBygzY03ze02vPn1YWw5WC3KN0S69bdomgKjoHzaV/Sk/U1X8g6EoQOtVCL19jvFajkAiDn/QqTdfS+/XKOF0u2tEnSvWHd+lqO2xu82mbg4qJKT+bGdnSE9XvPu3QDLwjBlaki32xu0ObnIfuY5ZD25AjHnng8oFGGbk+XvuKIXnB3CHXBeHznUvvuOz3yBeEcrVJKogVbN4K7Lx8nGxEbyt/7qRiv+8f5e1Peh8IdAGG50a2SZTCYrgD8CeMloND4J4IA76f1BALe5h80A8LbRaLwfwB8A3OGeXwfgJqPR+Bej0fgygI9NJtPmUJ/EQHL2JL4iSNrOpitWfrAXmw9U451vTGKOlUHS3kZBU3B65WSplD2TW1i6IA93LRnX/UBC2KOW9PuLmj0XSonRxRh4L5X1MB/O6ayrB+CRgADkD/GoWXPEZaE2Otp37QAoSpZgP5goY2OhSk5GwpVLwcTEgHOFqZHl8HNcIe0pKr+XWA8Xw7xnN7T5no4RhvlnIeuJpwFDFDYmTIG3CsyEvHgx9xQAYgyeSmgXy+GzX8u7PAKni8XhE80wdziw6stiVDUMvPyDzeHCK58ehOlk8Er4BEJ/EJSlYDKZvgPwnde8+yXTbwN42896BwEs6dMRhhk6jRJpCXq0BOHJ4jgO1Y186NPpYrFxF5+YGylpjcEoaJ9G1GfkJ2DLoRpcPi83qGM6d8qIYA+fEOYIff8AiJ4rAVVyCgCg5ecfETV7Dhq3befnuxPj7fV1olhp+r33QzdqtCjKGUojy2U2o6P0CDQ5uTIjMFxQaHWw19aAY9mAzboHC87lBKVSyapEOZcLtlMnoUrP6HM+G8UBLpbFzuI6TC5IRM1uvjgh+pzz0FHKZ29pZ8yBKiUVinsfx941e3CBHyMvNV6HY5W8flaMRCcwKVaHXSW1+MOFBWACCBx/vrkc67edQHyUBg2tnXC6WPzxkrF9Oq+esvVQDXab6rHbVI83H1zQ5djeVooTCMEQXnegIQJNUT6yC/7wHnLgWCOiIlSYkOeRU4jUKuFiOXyz46Q4T+G+eZ0x0jfXhHB6E3POeQCA5Jtu8XngRkw+EwDgqKlB/bqPxBCgy9wOl9mMUyueQqeQe+Mu5adoGqAoIITVdh2lRwCOg35sYci2GUo0OTng7HY0f7ex+8EDDOdw+OhjtW3dihOP/Q0dR0xe87dg25VXw9FQH/T2aXDYVVKHVV8VY9uecrh+4d+NpYr7Toq/NoSqZn8pB9ddMEqc1kpad41Mj4LTxaGm0QqH04Vth2qwen2xeD9kWQ7rt50AADS08tfnrpI6vL3h8ID23fTWHgxEaUULbnzmR+wtDf47JhB6AjGyegFNUQima4dw48lNM2DKqERcOjsbK26eLhMiTY3n1bHX/ngULvdGWfHmF+IDJ4Q92rx85L3yOgxTp/sskxpdrT9tAmgaiuhoOJubcezuO0QhTgAy/SWKYULrybLy3lmmn1rl9JW4RZcCABo++jCsGkdzHAfO5QLFMEj/8wOe+e7G2s4WeWir5s1VYG02tO3YHvQ+KPAGEAC0S5LdaYOnIMLlNrIEo8efkZUoES+mKAqXzs7GdRcUYEQSn9y7fvsJ3LLyZ6z6qhhbDtaI+2xqk+f+Cfmlv+yvFhtPDwQdnfz13t0t9PPNfOhz3U9DOlWYEMYQI6sX0LSvgKg/hCEaFYNbF4/FxTOzoVbJpSkEIwuA2KRV2DZxYQ9PghWojJs2Fam33o7oBWeJTabFbag9IR7eyApekJTt7EDVK/9ExzH/RcCCwSYNbYYTgm4WALjM4dMOhrN1AhwHSqmErmAUsv++Ur5ckq8l9fpwPWilRHEcvthyHADAVnraddlUHrkZJ83fg4SXOX+FNkqGxpisGMwcyxdOXDwzG3PGpyIjkdfR2lEsb8j91td8I3OrV8uxeRMlQroYOE9Wg9vY06i7lgISPF52B4sXPtrvk9RfdLwJy/+5GXuP+Hq6Nu48iUNljSE6YsLpCjGyegHvyer+hiEYS12lWSRI3hhbBCNLvPmRfw/BPxGTz0T+3XdCm5ePxKuvhTozU7ac8jGyug8Xck4nrIeLYTlwAObf9uDU/z3pN8QjKMhLE+7DFbajf+RgeoP1MG+IiK1taLkBIFXmdzY0iNO26qqg90FJDBllncfIauv0/P/NDt6Icwn3pwAvc/cunYgbFo6WzQskVnqsqg3WTgeefnePbH5OqgHpCfyLZLAhvFAgGEv+vHQtZhue/WAvDh9vQmU9b4Q3tnXiwLFGvPfdEdnYn/dVodVixz8/OSirAq9tsuLDTUfx3Nr9OFTWCEvnwJ0bYWhBnuK9gKKDzckK7I4XkL5FCrIQdnciPHFkEbwRlNW1eflQSAwphV7elFmh9zwMgw0XNm1Yj4pnn0Hd2vfFed55QoDEyApTTxbA52UBgKutrZuRA4eg9i70W/Tu8Sj1NrrMHi2hztJSsYChO6RGVnQ7L2f4S+wEPPGf3eL8v394ADuKa8WUh55Ixug0jKy5vZQ9pnqxJc9lc3Jw2yVjMXV0EnLTeM/i42/vxtEgWoV509TWGZRsRIvZhoo6vlNCfTM/3trp9HkhfvPrwyg63ox/fLDPp9uGNJmf5TiUyJple45hb6nHCH5u7X78+zOPyCyBIIUYWb2ApihwHLp9exHssK6MrBFJnodhi9mGJvcbVaxBjQhd+D7ECIND0h9uQPJNt/poKwmhJkqlQs6zL8jDhQomKEkDwaByScRQmzZ87TNOMAYoJnyvz6g58wEAjjpv3eTBgeM4mA/shyIiUvRk0VotFBGRUCYm8WMkniyprpnL3A7byZMIhJPhw8sWhQaU+6ajdtkQ62hHuTYFW2PHwe5gsSWmEMe1yeAoGr/sr5LkfvbsbU4IGXpjOiVv3TS5IBE0RcnSHvyF3brjhY8O4IFXt8m6W0hhOb5w6J6Xt+Cxt3ehtskqhi05AGav+/ShsibZ51njUsTpqAhPqP54dbvM+9ZudaCi3oymtk6fRPni46ePVATn/j698+sIvYMYWb3giPtm8uJHB7ocF0y4UMko8OCyMwDwRtbRylY4XSzOnpRBwoUEH2ilEoap03ykCZxtvIcgYuIkMFFeityMwr8+k8/G5dtUREbCWnTQxwvmaOLzUJhIA8IVQf6i9j9viYn6g4m9ugqulhboxowV/3e0UonsZ55F6h9vBwBYiovE8Wwn7zWJGMk3E7cU+e89yHEcaI5FlToObYxeTPROsPP3qFp1LCK0vDH8a9xEfJB2LgA+7CfmfvbQY54WIGS49ZBHFDcn1XNtKCQ3QLszOI+clIp63jsl5Kx688Xmcqz9kc8fdLEcSry0sdolPWC9e85mJEbgugsKcOnsbACA1LF10J1vNTKd98TtK23A31bvxOPv+HrkGMXpE3bYd7QBa388ikfe3Nn9YEK3kKd4H+jO9R2MJwsAot1vTy3tNtgc/NtaJPFiEXpA4v8sg378BCQuvdpnGcUog/JkSUOMAKAbPQbgODhb5de57Xg5KKUSqtRUhCuqpCRx+thdt+HIjdeh8asvBu147FWVAABNZpZsPq1SQZ0xAroxY9FRchhWtzdR8GTFTZsKUBSsRf7DUazZDNrlhJnRgQMFGrwRE+3gDROzNgov3DULswpTZOt12l0eT1YPrSzve1OypIfryIxo/P3W6Rid5dFPk27f0UMjyyrxQrUHyOnyFjutb+G/O6HI6FiVJ2Ts3alD8LbNdH8/nZLE/dIK3lCdOpq/lr7ZyXsT2yx2cBywZG6OOFajCv/8xGCh3Ka6pTM8BX2HGsTI6gdsdhfe3lAixvC788ZHu8X+ms02MadBpeyfBtmE0xNNVjbS7rwbikjf/lnB5mQpJYYJADDRvESDVFqAY1nYKiuhSkv3ySkKJxSGKJ95LZu+H4Qj4bFXVwMAVCkpfpdHn8WHfwU1f8HIUicmQpmYBHuV/+R3ex1f5desjAQHXowUANIY/t6jTU4CTVEYnSWX2+iwO3tdxezd7SIlzmNkKWhKVswjzBPoqZF114ueBiGBEuc73S+mi2fx3ijBkJrtDgPuk+RPlVXJc/TOLOA9noLCvdXmRKvZhlaLHR02FxgFjUSJESlw9uR0XDQ9CxdN5wtOLB0On/ZoQ5WedhwhdM3pY36HEd/uOolf9ldhezHvPu9OxVmlVECvYdBitsPuzjtQMeRCJ4QGSqEAF4QYqZATFDFpMmLOPhedx3kNIackR4tzOgGW9Um0Dzf8/eZcbW1wmc1QRPgPd/UXrM2Gxs8/BRDYyBIMWvPuXXCZ28WQL6PTQqHXwdFQD47jfM6rs5zXwmpWRiK1s15MfJ8YTwNVQPpI3giYZEzEuOJaTMiLx382muSerB7mZOk0Hk9WWoJe5vGINah9xss9WT0TxZUWGJmtAYwsuwsU5TGUthXx992po5Kw7VANqpv4cHFlvRmr1x8W18tIjBC9cBqVAhqVAg2tnbjv39vgYlkoGRpqJY1Ired8L5qeCWNGNMZk8566JXNzUdVgwd7SBnTaXYjQDv37trQYQFDDZzmO9MntJUP/ighDhJuK4JUK5k0xOlKN5nYbrO4blkYVvl4CwtCCVqkBlwsua9eaUYK3K/aii6HNHyk++B11tZIx4V9ZKBB/xVXitKCk375rJzpPnoCjsSHQaiFHqCoEACY2zu8YIVRrr65C64+b0LxxAwBAk5oCWqsDXC5ZYjzA523Vf/AeAKBGHQeAAg0O91w1HhpLC0DTWDCPb2ejZGjcfcV4zJ2QCgVNodPm9Ci+99CTpZXcmx6/foqs6m7pWfk+4zttHsOqL9p/3uHC2mYrmto60dTWiSi9SpYXlZkciZxUA5JidahtsmKPqU5UoC8YEY1ZhSlYMtfTdOSXmQAAIABJREFUtoyiKKQnRqCqwQKniwXH8fdvlVIhq6acZEzA2Jw4mbErRB166qULV6QeuR3FtXjxo/246ZkfsbskPIpIhhrEk9ULnrhxKv76xg4oGdrv26V3fD6YF4DoCDUq6y04WcvnUiTG+LqoCYTeoDUaYT1cBMvBAz5K8uUPPwhHTQ2i5syFeS/f91DQv1JnZgE0jbatWxBz3gWgaFqikRX+RlbseRfAMG06QNFo27YFAFD33/8A4M8x6+m/QxnA6HG2tsJafAhMbBx0xgI429pg2b8XhukzZfpgtsoK2GuqETnpzIDHIS06CNRL0du7xnZ0QD0iE9oUt5EFgLVaZUK1LrNZnK7RxIN132h0agaOhnoo4+KgUHrfiyhoVArekxWExIw/YiJ5b1VumgEURYnhuUUzs6DX+F4XUkHQvhgi7VZ54vv/vuZRwh+THSsLS86dkAqKoqBze7f+9ekh3Lp4DADeq3fWJHlrIwBIidXhaIU8/1CnZqDTKHHvVRNQVN4kKt5LUbqjDvYeeunCFZfL48la9VWxOH2ith2TCxL9rULoAuLJ6gVp8XqMzYmFw8mKiepS/uslaEd129zB04S15GQz1CqFmAxPIPSViIl89apgRAlwLAtHDR9aaf3lZ7jaeW0mwUulSkyEYfpM2KurYP6N11kSjCx6CHiyAICJigZjMICR5GgxsXHgnE60bdsKe10d2n/b45OzVr3qVdSsXoWK5/4BS9EhlN1zF2rfeQtWUwkcTU1oXP8lOKcTJx55GNX//pdYDegPQfMqav5ZAcdQKpXYb1IgciqviabQ8TlOQgWpAOf2RFFn8OM4931mRJQSrtZWKOP9PxA1KgaddqdYmNMTnSyAfwF8/Pop+PPSiQCAu5aMw4jECCzwY7gAwPlTR+DmRbyoaV+SqbsSM01P0Ms0rowZfLh1vkRxXrhXqwPku6a7pSmkPWNHjuC3MyY7FlcuyPNrkAqpHQ535KK60SJL2B9qSMOFY7Ji8LvzjQD4XGNCzyGerF4SqeWNILPV0W1lSTBKDNHut0OHk0VmcmS3eVwEQrCoUtOgTEyC5eBBsA47aCV/7QaqOJQaUDHnno+2Lb+i7t01AMtBnZEBYGiEC6UoJK12Mu5/EOUP3ofGTz9G46cfAwASr/kdombPRfueXdCMyPKIsLpcqHze0/6macN6dJTweT3SxH+XtQO0Rp7wLSAUDhim+fajFKD8NPGOnDwFAERP1snHH0Hey6+C1rjDVyw/nnF7qwQjy9nIazgpE+LhD41ageY2m/gwpXrxqp0u0cqakB+PCfn+9wUAeo0S00YnY83GI2I6RLAY9CpYO51wutiAOVkAkBYfITMWk9y5VhNHJiA7xYBTdWacqOGNXW2AVjvzJqRBp2ZwZkEiPvihFD/tq8L0McndHqOK4bdnd7JoNdvw0KodSE+IwOM3TAn6PMOJ8mq+OGDJ3BxcND0Ldc18TlsnMbJ6BfFk9RKhjNlfWfHIDLlOUTAGU4zEc5Xip5qFQOgtFEUhYuJEcLZOsbULAPGhrhs1BvGXXe4ZLwkFKhP4t3qXuR3Vr/8b7BBQe/cHI6m6VMYnQDvSKFtu/m0PKp77B2pefxUVz/8DYFm/EhWCgQUAjZ99Ik535clyNvOFA0KOW3fox41H/BVXQRnHhzJprcd46zjq8ZJz7twZhfshz7nvM0IOnTLe45GRbV/NoMPmFFvIDFRCs07NoMPWMw8Px3GIi9KAgvxe693uKS1BD4ckl0h6ThqVAk4Xi02/VSIpRiuTl5CiZGjMLEyBSqnA0rPy8dRNU5GX5lul6m89gE/qr3Y3yha0vYYi3+46BQBoaefDs4ITwVtjrK+wHIdPfylD8fGm7gcPYYiR1UtEI8vqK5Cn9UpaD8YbL3iyALnuDIEQCvRjxwHgk7Abv/oCztZWsZ8hpVFDleIxKCi1x+D3blY9FFrq+INxGxxCW6LkP9woLqN1eliLi9BhKgEAOBt5EcqoWXO73KY0xMh2dGFktTQDFCVrXO2PqDnzoExKQuptdyL2vAskx+e5H3SWlXlWCODJElTulQn+w4WGCDU4eMJCPQ0X9pZOuxONbTb87+vb0WIOruk1y3JgaAp6rVIWLvRua5Yap8eozBhoVApcOT9PtkxaRHT1OSPFKsSuUCkVSIkLroJWkDx44aMDOFLhqcQNpr9tOJKbxgvJXjwrC4Dn+/NW9O8r3++uwJdbj+O1L4q6HzyEIUZWL4nU8Q+fNovvm5nT68flcHb/YxO0sgCPq5tACBWavHxQKhVaf9yExs8+QeWLz4n98CiFAvoJE5F+7/1Iv/9/xXCiP4TQ11BoDi1FodUi79+vI/nGmwEATLwnvJW47BpQDAPdKE8zZE1ODqIXeHKoYs49X5xOWHo1NHnyKjp/YqGOxgaceub/+NAjx3X7nSX97jpkPbnCZ5xC67kfSI05wZPlbWQJ2lmCF9KbaL38/ztQniwhH6u2yYrDJ4JrQ8O6C4t0agZVDRZUN/IVstLkbIAXHo2P0uLlu+fg/KkjZMukuVreemGhQOn2JNocLnz2a7k4v2GItqVptzhg0ClhcD/jBE9du9URslY7LMfhgx9KAfj+L083iJHVS2Ldnqemtk5YO51okJQxu7xE6YJJgowhnixCP0IrldDmjxQ/206e8MgxKBT8g2zUaOi8wmjeVP/7XwD8GxXhDq1UidV90hC+dmQBcla+gLR77kPcJZdBk5eP1DvuBsUwyHn2RcRffiUM02eI46PPOgcjHnwI2f/3D3Fe4xef+eyv8oXn/DbY7gp/qQXScKG9rlaUnxCNZPc5ce5VHbVdhwujvIpq/BXv9AdqiUfpVG1w4TSW5T1tde7767Mf7sO+ow148LVt4pg/L50gTvuTiBAU4UdlxvRLqzJ/0QwAqGnsWjIlHGFZDo1tnYiXCMpKr8mWAK2NekpRuSdE6GI5n/Dv6QQxsnqJcBHy4nVbcf+r20T3sNPFQUFTYs+rDlv3sWzhrQHwL+hHIPSVuEWXyB/Y7spCiu5ak02qNyXQnebWUCDriaeRfMPNUMbEQBERAYqiELdwEUY8+BAYAx8yYaKiEHv+hVClpSP67HOQfNMt4kNHmZCAxGXXituTirYC8NG16i3ScKFl/z6UP/Bn/oM7XCgk4LPu27m9rg60Vgs6gGBslF5+fwnVg7M7nrhhCm6/tBAUxfcFDCacxnKcrHCoqc2Gl9YdEI950siEgDlWAkIqRnJc/7y8Th2VJHp7pAj5WUMFjuNQ2WCBi+Vk2mAAcM5kvuDFEqKqSakpbHO4TuukemJk9ZI4tyHU0NohGlGCBozdybdj8LRq6P4Ckr6B+dOaIRD6ijY3DznPvgjDrDkAAKe70bO3dIA3seddAMP0mbJ5Sdf8vl+OcSBRpaTKPFRdQdE0Epcu89EZi5q3QJyufuM1sDab562c8XyvfQmvSsOFUoTWO4IVIpgsrtYWKBMSAxbceMvDpCcOjHp/fJQWk4wJmDk2BZUNFlGZvStYllcaXzQzy+9yTYBKQSk3XjQK8yak4rI5Od2O7Q3piRF4/o5Z4mdBFDUcjazqRgsaWv3nD36+uVxsCu3dGklonWTpQkajJ3h7TwN5A9d8a8KPe/m+nyzHdSnjEa4QI6uXKBley0pQEQYAmzuR2NLhhF7LiLoxZ0/2rx/jTVIMf2H3RRWZQOgKviEx/1bqaODDTsEYANJE96h5C2T5S8MZiqLEPK+OksM4evstKL3pD6h7711RgwwAlIlJgTbRLbTOvzRE9apXAQCOel6ygZMYVYHysQBPPikAPPqHMzE2278ga38h3A+PefUR9AfLcaBoCovcfQkF5oxPwcUzsnD5vLwAa3qIilDjd+cX9OvLq07D4A8XFGDexDSsuGU6KCo8w4UPrdqB+91tg6S4WBZfbDkufvb2ZEW4WwuFysgRPFfCdtv8yHM4nCx+/K0SazbyIff3vjuCu178VZSUGCoMrezVMCM+SitrOCqI0Zk7HUiK1qIwJw7/Wj4n6BY5T9w49bSOTRPCA6Evnq2CL9UOppef1MjS5uZ2MXL4YZg2A7Vr/gPO5nnhEppRa3LzoEpKQtziS3u9fdqPJ4vjOLAW/iFuO3UC0OXDQXlu54HysQBe7mBcbhymjUnyq2De3wjhu3ZL12FKjuPAcXxiPk1R0GsYMXl+4YwsxEf5Nz4Hi9njUzF7PD+dEKUVeyaGI699UYxbF48Rix4OHGuULY/38mQJTcH7IiYrRfBkJURrYO5woKG1A3oNI6voPOJVzbjpN96jVVlvGVIdUYgnqw/ER2tkpcR2pwtOFwub3QW920LXqpmghUUZBS1WqhAI/YVoZJ08yX+Oju5qOAC5kaXJ9e1PN9yhtRq/8w0zZyH5+pugjAss1tnttjW+22Y7PA/wxP+5BgDQofDkWnXlyWIUfB/DaaO7F9rsDyLcHqU9R+rxt9U7UBRAJ0l4EAsSCYInKlKnRJzB//cdLiTH6dBudYRteGt3SR3Kqtrww54KVDda8Mu+KtnyBC9Plr6fPFlCWPL1L4rx0KoduPXZn9BqtmHn4Vo8++E+cXy1xCu47udjQ8oZQYysPuDtUrU7WDFmrdeSvCpCeMLE8mXsQk6WYHR1hSDdAPDtdghyUv94h9/5XGffS9799TvsPHYMABA13xO6lRlZXXiyBhtpOkRFvQVFZf6NLEHhXeiuIYS4slMMYd8RQzACW9qD0wMbKKRNtHcW1+K/3x3BQ6t24EhFi6yqXVrtDnhCzKE6H28jS8DuYLH85S0o9eoh+eGmo+J0daMVB8vknrdwhhhZfcD7bcrhZEVLP4IYWYQwhYmJlVUZKoIwslTJKQCA+CVX9ttxDWW0uXmIW3wpIqdNR/TZ53oWdFNU0FsqX3wOAKBy53pdPi8XlM4TaulO+DSc6PRKgna6WLAch9pmPkFbqLbucBcQpSUMTKJ+X9BphKKn0Kqk9xUXy8Hg1kmTiot22FyIkzgNvCMq0REqROqUKK/pPo+uO+pbOvDV1uMAgPQE/6kKKq9qTSGcudidm/f2hhKcrG3v87EMBCQnqw94J1LanS6x9YAQwyYQwg2KpqFOz0BHKd9WhYnu/oEcc+750I40yrS2CHLiLl4MAGBtNhimToP1cDGi584PybbTlv9Z1kNRQBHB51RdOC0T7coJqP73Zn5+5MDnWvUEJUOL1dg2r3Ytj7+9CywHjHFLM+Sk8nIat19WiPe/PxJUP8HBRueuLA9VNV4oYN05bimxOrhcLE7VybXKusodpigKOSkG7D/WiINljfhlXxWuv2gU9pU2oCAzxsfzVdtkRUK01m8R119X7xCn0wMYzN6Gt8CZBYnYd7QBJ2ra8ehbu/Dmgwv8jgsniCXQB7zbM9gdrCiaJ1VwJxDCDWVyssfIMnRvZNEqVbdCpQQeWq2GJjsHmuzQSQboRo/xmcfExEBfOE78LC1gEIyvcCU6QoX6Fj6U2mZ1wOFkoWRouFgOFfV8/o0gIpqbyl+fozJj8PgNUwfngHvIiGT++y8+3oyJI8MjdCvokikUFLJTDDhULg/Tnqhpx/N3zgqY75STyhtZz6/dz2+P47C3tAGJ0VqsuHU6OmxOrNloQmlFCxrbbJg3MQ2/O8/3nmF3F4jpNYxMoFbKvtIGcfr8qSPwzQ4+fzQ+SoPZ41LEZt8sy4V9NT4JF/YBHyPL6YLDLeMgyDEQCGGJ5EY61FrkDEf85SAl33hLQMMq3P+ni2Z6JBmKypvw+Du74HSxWPudXCE/IVojhreGEsaMaERoldh9pM6nz+JAwXEcVq8v9uhMuY0smuaNLAGhCfaMscmI0qsCOghyUuUvY3vdhpDgWPh21ylsL65FYxuft/XT3krsP9oga8UjNeBiIjVi82l++wbMHMt7KZsluV9TRyXhxoWjcP2Fo6BSKmSezGB7YA4mxMjqA1ovITyHk4XTNbBNVwmE3pBwua+KOyG8Sb7pFtlnyqvHpCIi/HOVBGYWpuCfd88WP1fWW3DwWCPe+1ZuZOWmDp3cMimMgsaY7Fi0mu0yLcWBpM1ix5aDNViz0YTn1+7HA6/yrYhoikJumud7HZMdi2dvn4mFM7K63F52StfeUan3SeDFdQfw6Fu7xM/1zR4hVAVNQa30PENT4/R+JSJS4nSYMTYFs8bxeaFaNYML3P0pG4dAf8jwft0Jc3zDhS6xAkahIPYrIXxRREQgau58qNLSBvtQCEFimDodYDnUrH4dgK+0g0Lfvd5ZOOEjDurnvVTqcRlqCFIVdrsLP+2rRGK0ttsWQKHC0unAD79ViJ+l1Xg0RckaZXMc55NT5Q9dN2KuzWYbYiLVMi8UwMs+dNic0KoZHK/2JM6rlbSs2jE1Xo89pjoAfGj4jJEJaLfaoVL6hhSFyv6G1k7kB6f1PWgQI6sPqL3++UcrWxHldrUqFMSTRQhvkq4d+q1xhhuRZ04BaApwsVCnpsqWUQyD5Jtv7ZMm12DickcBFs7IxFdbTwAAkmKHbtqF0q3vtdtUJ6qpr35gPsqq2vDL/ioUZMZg0bzQ5859s+Mk1v54NODyfUcbwChoZCZF4kRtu5gbFwyp8XpUNVgwPjcO+90Vf4KOmcvFIkKrBkXxPSal/P2937D8ygkor/ZIM/z+ggJZGDwlTidWY+o1DM6aFNh6EiohGwfJS9gTiLulD3iHBLcV1Yo3CqYfur0TCIThDcUwMEydDsOMmX6XG6ZMgza3+1Yz4UiZ28shbWDtraM0lBBkCIqPezTmapqs+PjnY/j1QDXW/XRMnO90sfjXpwfx4kf7ZcKbvaErAwvgK/QA4K7Lx2FifjwunJ4Z9LZvv3Qspo9Jws2LxuCx66cAACbk8Ua9i+WgoCnc/z8TMS7X06opJ9WAk7Vm/N+aPdh+iG819Y8/zpCpuwO8AWccwXvYRmXGoCsE3a5QNazuT4gnqw/4q2pwiuFC4skiEAiEYDno9oxI76vegs9DCaFyTtqQ+ce9lThyivfmNLfbUNdsBQU++X+Pie9Buf9YI964f36/Vc39/ny+4i8mUo07l4zrZrSclDg9brqYr3SNchckuPPpRSMrMUaHxbOyRW2r+5ZOxPrtx/HV1hOoa+kAo6BF7TMAOG9KBg6faEZclAb/c1YeJuTFozCn67CqkKpjDVGbn/6EGFl9wPtHkBSr83iySE4WgUAgdAlNUWL1XaVbskFBU5h/RhqqGyxDus2Y4KlpMXt6NH6/u0I25j/rD6O5rQPHa+TCmofKGzEut+9h3/OmZGDjzlPi50id0ieXuLcIz7/KejMq681wuTjRuRAryfFSqxS4bE4uqhut2GOqh5KhZWHCqxZ42nTRjELmBQuEIPY9WEUFPSGob9toNJ4N4DIAdQA4k8n0mNfyLACPASgCMAbAcyaTab972TUAJgJwAThmMpleC9nRDzK0V1m12WoXO4QTxXcCgUDommdvn4E2qwNvbziM8mre0KApCteeO/Q12bKSPflWcQY1DHoVyqvbZY2uf95b4XfdqgYrxvWxD/vscSm4akE+jCNiwLEcxubEgWW5kLUkEtJlqhut+Ovqne55vHMhKkKNC6dlyhLqhfFdiZ4GS4RWiZxUA0pONqPFbAtrXcpu3S1Go1EH4FUAy00m06MAxhmNxrO8hr0A4DOTyfQMgJUA/uNeNx3AnwH82WQy3Q/gRqPReFp2l42P0sDS6URpRSvSEyKIkUUgEAjdEBWhRkZihKzq7nSRv5E++PPTo/HHxWMxIS8eNy8ag+suKPAZr2JoLJnLC9gKQqx9Yck83kqbkBePiSMToGTogOKfvcFfOFP6v7t8Xq4seX3qKL4F1Plu+YW+Mn1MMjiO78EYzgQT05oO4ITJZBLKBbYAuMhrTD6Ak+7pMvCGWDyA8wDsMZlMggLZNgAX9O2QwxMhQdPFct0m7REIhP5j7dr3BvsQCD0kM8nj9Ql3Be/eEKlTIT5ai7suH4fCnDi/IbHoCDVmFfJaULYAbWWCQaWkkZkcCYOuf0Vc/RnDXeUiTxyZgDceOgdnd1E12BPOHJUIBU3hh98q0BFmPSKlBBMuTAQgDRi3uedJ2QxgGoA9AKa45xmCXNeHmBgdmH6KxSck9E+7iczUKBw+wVeRTC1M6bf99JRwOY6Bgpxv//Pml0XYsr8ypNucOT4N11/s2zrGm2DO9+OPP8Ttt9/S7bihwnC4po12VpyOidadNue8YHIGNu0+hXHGRNk5xcT6CscqFDRSknmRUIqmg/4Odh+uxWNvbMdzd89BfkYMXC4OWjXT79+hv/Y7CTED979LALB4Ti4++eko1u84iZsvKQxLfcpgjKw6ANJvzeCeJ+VeAPcYjcblAJoBNAKocI/L81q36/pSAM3uvKZQk5AQifr6/uncnSbRc0mOUvfbfnpCf55vOELOd2DosNrFAo9QbrOrc1m//gusWvUKFi26DPX1dTCZDmPs2HGIiYmF2WxGfv5InH/+Rfj880/Q2tqKFStWYsyYQtTUVOHdd9/BunVfYufO7Xjmmafwz3++BqfTiaeffgxxcfFITU3Fjz/+gEceeRIrV65AYeF4KJUMiooOYfny+1BQMBo//7wJu3btREpKCkpKDuOJJ1aE9PwDMVyuaYbzGFnt7Z2nzTlfNS8H47JjMTrd0O05mTvsaG3hn307i2uC/g5Wf35I/Hv9haPgYjlQwIB+h/PPSMPozFiMzorpcr+hvp7Pm5yOT346iq+3HkdtgwW3X1YYsm33lEDGZTBG1jYAmUajUe0OGc4E8IrRaIwF4DSZTG0AUgGsNJlMVqPRaATwrclkshuNxo0A7jQajZQ7ZDgdwD9DcULhhjRE2J0yLoEwlLlyQR6uXDCwWkwXXbQIP/zwDUaNGo3rr78Z7777NiorK/GHP9wEjuOwbNnlmDp1OhYvvgxr1ryFG27weLLeffcdAMCUKdOQnMyHYzIyRuDiiy/Btm1bcNttf8LixUtgMERh9uy5cDgcuPXWO7Bp0/fYsOErFBSMxjffrMecOfNxwQULcfDg/gE99+GAtOJNyZw+4UJlkNVyAB8uZHoh/ZOeoEdFvRlHK1vxxZZyAMDU0Uk93k5fWHbOSJ9CsIFAydDQqRlYbU7sOVI/4PsPhm6NLLfh9EcALxmNxnoAB0wm0w9Go/EZAE0AVgCYAeBCo9G4G0AsgDvc61YYjcaVAJ43Go0uAG+YTKbS/jqZwSTWoMHE/HjERg5dXRcCIdzJzOQbC9fW1qKxsQFr1rwNAMjJyUVjYyNiYnrWtiQri99eWponTyQjg0/MjY6OhtXKexbuuGM53n33baxb9yGmT5+JsWPHhaxKiyBH2jR4ODB/Yhp0GgZzxqfKrimHk4WS6T78JVTr2ewu/LyvCsmxOswsTO5mrdDwwNUT4WS5QTGwBO5cUoi/v7cXkbrwdG4EdTWbTKbvAHznNe9+yfTbAN4OsO67AN7t9RGGOc/ePhNC/l9Phd0IBELPEB5CeXn5UKmUuPba6wAAP//8I1JSUtxj+AfTkSMlGDmyQJY7UlfXfSWSP+OpvLwMDzzwMJxOJ+6442bMnj0PRqNvhRih96TE6VDdaBVFLk93brhoFI7XmXH1gjzZNTc2OxaHypvQYXdCyXT/XXTa5Unyl83JEaUU+htBoX0wMY6IQW6aAeVV7eC40ElUhIrh9crQDwTTWJNAIPSNXbu2o7KyEh9/vBbLlv0eCxcuxiuvvITVq/n8KrVajblz5wMAjMYCvPrqy1Cr1Rg5sgDnn38Rnn/+GWRn50Cn0+Ozzz7GVVddjS1bfkF7ezt2796JyZOn4OTJE9i/fy/Kyo5iypTp2Ljxaxw7VoqSkmIUFR1EUdFBaDQaZGfnIienjyJGBB/+95pJsHNAbJh6JELNzMIUXOInRykpVodD5U2ob+4IqkJQamRFaJWYZEwI+bGGO3qNEizHodPuCpnYaqig/FUIDDb19e39clDDJYlUgJzv6Q0539Of4XbO5HyB7UU1eP3LYixdkIdzp3SvKfXMe7+h5GQLnrxxKnQaJqyFOfvr/7vqyyJsK6rFM3+cjviowel3mZAQ6deFFn71jgQCgUAgDFPy0ngZhw82HYXTxQYc19xuw5qNJrSY7VAxNFLj9WFtYPUnenexWTj2MgwvvxqBQCAQCMOYOElT7Mp6CzKT/UsD/OvTgyiragMAGIZJiDUQOg1vyljC0MginiwCgUAgEMIEWYVhF54saXPk4VaR6Y3gybJ0OAb5SHwhRhaBQCAQCGGE0HrGbA1sNDicHgNMo+6fDilDBb2WNzKtYdhehxhZBAKBQCCEERlJEQAAcwDPDMdx6LR7DIq0+IgBOa5wRfBkBfq+BpPh7WMkEAgEAiHMEKQbWi02n2V1zVa88ukhCMIAl87OxtwJaQN5eGGHwa2t1maxo7LejLgoTdiEUIkni0AgDEnWrn1vQNbdunUzrrhiEaqrq3q9v2DYv38frr9+GX77bXe/7ocQ/gjJ741tciPrk1+O4cHXtuNknRmTjAm4b+kEXDwzWzQyhiuCgO3hE8346+qduPOFX/02sB4MwsPUIxAIQ4ZPjn6FvXUHQ7rNiYmFuCxvYY/WWbv2fVx55dW92l9P1p0xYxbee+8/vdpPTxg/fgJyc/P7fT+E8CfO4DayJMntbRY7vtp6AgBwzbkjseCMdL/rDkci3Z6/U3VmAICL5VBW3Ybc1KjBPCwAxMgiEAhDgJMnj2PlyneRnJyO8vJjyMnJg9ncjtWrX0NmZhZsNhtee+1fuOSSJaivr8PRo0fw6KNP4+WXn8fYseNQVnYUS5deg/x8Iz7//BNx3TFjCjFt2gyf/dntdqxY8QRiYmIRH58Aq9UCADh06ABWrlyBwsLxUCoZFBUdwvLl96GgYDReeeUlfP/9RixZciVKSg5Dq9XiL395xO/52GydeO65Z5CSkoqWlmaMHz8VNaPNAAAVLklEQVQR8+efLS4/frwcDz10Hy666EJcccW1UCqHd4n+cENQLT9Y1ojjNW3ISjagst4sLp89LmWwDi0sUTI09BpGJuHQ3kXRwEBCjCwCgdAjLstb2GOvU1/Zvn0r1Go1rrpqGerr66BSqfHpp+twww23iGM2bPgKo0aNxvXX34ySkmIolUpcd91NMBoLYDKV4J133sSTT/4dixdfhjVr3pKt682XX34GnU6HO+9cDpZl8dFH7wMAxo4dh9mz58LhcODWW+/Apk3fY8OGr1BQMBq33XYX1q37AIsXL8GyZRG45por0dragqioaJ/tnzx5AqWlR3D77X+CVqvDsWOl4jKn04n167/A00+vxOTJhcNKAZ3gy5qNR/DX309GZQNv6F8xPxdKZnhXE/pDr1XKjCxXF/IXAwnJySIQCGHPxRdfitjYWNx2241Yvfo1MIz/98PMzGwAQEHBaDAMgx9+2Ih33lmNH374Fi0tzUHvr7y8DOnpGQAAmqaRkpIqW56Rwbc7iY6OhtVqFefHxMQiIiLC7zIp+flGXHrp5Xj44QfwwAP3iE2tAeDjjz/E5s0/BzxHwvCiqY0PGVa5jawxWbGDeThhS11zh+yz3cnC4WRF43SwIEYWgUAIe4qLD+Hmm2/GqlXvIDY2Dt988xVomgbHcThypEQcJxVyfPfdt6HV6vD739+AhQsXy7YnGDXSdaVkZ2fj1KmTAACWZX2S3qX7CWa+N1VVlRgzZixeeulVXH75VXjzzdfEZVddtQz33vsgHnvsYdjt9qC2Rzj9WHHLNABAq8WO6kYLKhssoCggJU43yEcWnqQn8C83s9yhVIeTxbe7TuKvb+xAXbP/l52BQPHoo48O2s4DYbXaH+2P7er1alitw+emRc739GY4na/JdBiffLIOpaWlqK2twSWXLEFbWyt2796J0tIjUChofPvtBlitVuTnG6HVaqHR6PDFF5+iouIUSkqKUVR0EDk5uUhNTcOBA/tw5IgJVVWVmDhxks/+cnPzsWnT99i37zcUFxehsvIULBYzkpJS8OmnH6G2tgbjx5+BtWvfw9GjR2A0jsK2bVuwZcuvSE/PQFNTE775Zj1YlsUZZ0z22X5zcxPeemsVKisrUFJyGGeffR7a29uwfv3naG5uxsyZs7Fhw3rs3r0L2dl5iI72DTmejgynaxro+nz1WiXiDBrsLW1Ai9mOovImpMTpcM6Z3TeNDlf68/9bmBOLghExSIzWYldJHUZnxaCp3YayqjbMLEzp976Oer36MX/zqXApc5RSX9/eLwdFOryf3pDzPb0ZbucLDL9zJucr51B5I577cL/4eVxuHO6+YvxAHFq/MBD/3/1HG/DiugO4Yl4uGlo78ePeSjxxwxSkJfSvYGtCQqRfNzYJFxIIBAKBEIZovQQ1zxiZMEhHMnRQMbxZY3eycLF88jujGDxTh2RWEgiEYYvVasVPP/0gm6fVamVyCn1l+/ataGpqlM2bOnU64uLiQ7YPwulJTKQ8xDWLSDd0i1LJV17anS44XXxQTKEILleyPyBGFoFAGLbodDpceOHF/boPfzpcBEIwxESqRf2nUZkxoIMsrBjOCJ4sh4OF0y3joKAHz5NFwoUEAoFAIIQhFEUhJU4PALA7XIN8NEMDpTRc6PZkMYPoySJGFoFAIBAIYYog2VDdOHgyBEMJlVuo1eF0webkDVPiySIQCAQCgeBDVnIkAECpJI/rYBC+p7qWDhw+3oykGC206sFTyCc5WQQCgUAghCmzx6eitrkDM8YmD/ahDAmEnKxjlW0AgHkT04IWCe4PiGlMIBCGJGvXvjcg627duhlXXLHIR/W9r/zyy0+ybZaVHcXjj/8Vb721CmvWvBXSfRGGLoyCxtKz8jEiKXKwD2VIoGIUUNAeoyovPWoQj4Z4sggEQg+p/+gDtO/eFdJtRk4+EwlXLO3ROmvXvo8rr7y6V/vrybozZszCe+/9p1f76Ypff/0JERERYl/EX3/9GWecMRkLFy6G0+nsZm0CgeAPmqZQmBOHfUcbAACZg2ycEiOLQCCEPSdPHsfKle8iOTkd5eXHkJOTB7O5HatXv4bMzCzYbDa89tq/cMklS1BfX4ejR4/g0UefxssvP4+xY8ehrOwoli69Bvn5Rnz++SfiumPGFPqVWLDb7Vix4gnExMQiPj4BVivfZPbQoQNYuXIFCgvHQ6lkUFR0CMuX34eCgtF45ZWX8P33G7FkyZUoKTkMrVaLv/zlEb/nU1x8CKWlRwB8haKiQ5g+fSZ27dqByMhI2O12XHbZFf35dRIIpzWzx6WIRtZgCpECxMgiEAg9JOGKpT32OvWV7du3Qq1W46qrlqG+vg4qlRqffroON9xwizhmw4avMGrUaFx//c0oKSmGUqnEddfdBKOxACZTCd555008+eTfsXjxZViz5i3Zut58+eVn0Ol0uPPO5WBZFh999D4AYOzYcZg9ey4cDgduvfUObNr0PTZs+AoFBaNx2213Yd26D7B48RIsWxaBa665Eq2tLYiK8u07OHr0WOTnj8QFFywUextOnDgJKSmp/a7bRSCc7uRnhE+vT2JkEQiEsOfiiy/FJ5+8h9tuuxEjRmTizjvv8TsuMzMbAFBQMBpNTY344YeN2L59CywWC1pamoPeX3l5GdLTMwAANE2LIT2BjAy+SW90dDSsVk9pfUxMLCL+v717j7KqPO84/p0ZFWYGL1wmXgIiID7WaBCzoqHYVtS6dIV6jbVJzcLEhBVXaKK5kLRdGqxZTaIk2LXU0sRYtGoVuaSolRJE2wZRFMPCgDwMqZoBBNHBIExAcKZ/vO+wDjgDc9vnnP2e3+efmXP2PjPvb7377P3svd+994AB+03rqMgSkewMqD2cz190yr57jJWSBr6LSNlbs+Y3TJ48mZ/97H4GDRrMwoVPUF1dTVtbG+vWrd03X+FVRA8+OIva2jomTbqeiRMv2+/vVVWFVV/hZwuNGDGCpqbfAdDa2vqhQe+dXa3UnauYquO9ezZsaNqvUBOR3ptw1lBOHT6w1M2gZtq0aaVuw4e0tLw/LYu/W1/fj5aW97P402VJedNWSXndX2XevDk0NjayZctmLr/8KrZv/z0vvbScxsZ11NRUs2jRU7S0tDB6tFFbW0v//nUsWDCfDRuaWLt2DatXv8LIkaM44YSPsmrVStatczZt2sjYsZ/40P8bNWo0S5YsZuXKl1mzZjUbNzaxc+cOjj32eObPf4wtWzYzZsxZzJ79MOvXr8Psj1i2bClLl/4vQ4cOo7m5mYULn6S1tXXf6cAD7dr1B55+ehErVrzIyJGjWLBgHlu2bGbgwEH7jpxVUh+D8qYu5bz19f1u7ej9qra2tmK35ZC2bn0vk0Y1NBzJ1q3vZfGny5Lypk1501dpmZU3bSnnbWg4ssPD2DpdKCIiIpIBDXwXkYrV0tLCs88+vd97tbW1TJhwYZ/9j+eff47m5nf2e++cc8YxePCQPvsfIlKeVGSJSMWqq6vL/JYJHd2HS0Qqg04XioiIiGSgS0eyzOxC4ErgLaDN3W89YPoIYDrwInAm8LC7L4jTXgdej7NudPe/7ouGi4iIiJSzQxZZZlYHzAQ+5u67zWyumV3g7oUDGaYCv3L3GWY2FpgNLIjTZrn7tL5uuIiIiEg568qRrHHAG+6+O75eCnwaKCyytgAN8fcGYEXBtD81s6nAkcBT7v7cof7hwIF1HHZYTRea1n0NDZX1JHPlTZvypq/SMitv2iotb1eKrI8AhTe22B7fK/QTYL6Z/QQ4G7itYNp33X15PCL2splNdPf1B/uH27Zlc/fjlO/R0RHlTZvypq/SMitv2lLO21nx2JWB728RjkK1Oyq+V2gWcK+7fwO4AnjUzAYBuPvy+LMFWAmM707DRURERPKoK0eylgHDzaxfPGU4HrgnFlF73X07MAx4M86/DWgFqs3sAuBwd18Yp50M/PZQ/7CzO6f2hUo7VKm8aVPe9FVaZuVNW6Xl7dJjdczsz4HPAFuBPe5+q5ndDjS7+w/N7FzgRuBlYASwwt1nmtkZwDTCGK0TCFcX/iCbKCIiIiLloyyfXSgiIiKSd7oZqYiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIhkzMy0va1AyXW6mZ1Q6jZIdiqtf81shJkNMLPMbtBbTsxsZMHvyWc2s9PMbESp21EsFlxpZoeXui3FYGYfN7M5ZnaUu7eWuj1Zi+ur+kr47nZVV+74ngtmVg9cBkwwszeAde4+28yq3D25m4GZWX/gn4Cl7v6AmVWn/CWOz76cCFxtZo3AYndfUuJmZcbMBgAXA58lPID9JeC+kjYqY2Z2CXCfmd3s7vcSdgI/KHGzMmFmxwB/T3iCxhTgtVTXVQBmVgtcApxLeIrI0cDbJW1UhmL/fhc4HWgjPNN3cUkblaG4vppIeKzeNmA5ia+vuiqlI1mXAoOBbwKrgW+b2Znu3pZoVT2M8EzJO82sJvEC63TgbmAD8HWgDhib6uF3MzuJ8ND1FuDLwO+AoXFacstyQT+2AkuASWZ2tLt/kGIfm9lo4GFgLfAnwBtmdgRQE6cn18eEImNPfL7tK8DeuKOYXF4zGw+8AGwGrgHmAv8XpyWVFfZ9f6cQCufJwBpgUIpZeyL3KzAzq4qdPAFYHZ+l+DiwCLgDIKW9w4KNToO7fw5oJGyQUz7n/zrwHrDc3TcRNk4nJlxYbgbedff/dPdmYACww8wGp7QsQ/j+FvTjycA8wkb4W/H5qHUla1x2mgiPGlsGfAH4G2AG8C1Ib30VN7bnAXvM7ErgL4HvEXacksobrQRmuvud7r4TOB64HJLMCmHn4GKgyd1/DxwBNAAfL2mrykQuN8rxvO/keJ67La6kNwA/BHD3vcA9QI2ZfaqUbe0LB+Rt3yD9Jv78IjDFzEa6e2sKew+FeQHcfQdwS+xXgPXA/8R5jy1RM/tMB3l3AT+I08YAA4F+wC/M7Kr4fm77+cDvr5nVxElvE3aOfgV8Hpga+z6ZvLCvf5cQvrv/7e7TgCeBi8zsvJI1tI8cuL6KhcUmwvCGTe7+D4T189lmdkVJG9sHOujfnYR87Z4h7Cjmejlu10HePcB/AH9lZvOBowg7Eo+Y2efiZ3Kfu6dyV2TFw+pTgSsJY7Da3Q4cZ2ZXx9fbgOeB7cVtYd/qLK+7b4+nCVcTTj3MiJOGFL+Vfecged8tmO1sYHE87TKluC3sWwfJuy3++qq7fzU+WP0JwoPWc7tH3FFed28fd3UhcC3hIfNLgJPiQ+aTygvg7s8AP3X3xvjWs8Cvgb0H/o08Ocj6eRYwCBgHEHM/RA63QYUO0r+7C2Y7GRgb38/lctzuIHlnAH9HWF/d4u53Af9MOKKV+9y9kccF/AhgFWEQ4bj2K3Pi3uHfAj8ys1OAswgbpFwXWXSSN+4ZtC+4k4C/MLOHgbwf2TlY3vZTosMIX/B7gO05P03aWd72TMPi6/HAJwg7DnnWWd5+hCJjI/CjOH0CcH6K/Qvg7uvieEOAM4ATCUd88qyz9fMe4NvAN8zs+Lg8n0YYv5NnB11fRQuA+jg4PO86XZ6BMcBNAGZ2LmFn+Lmit7DMVLW1lXeBaWanEqrmxcAad98RTy+MAW6I780omP9LhOr5MODncQxPbvQgb3/CXtK1wF3u/moJmt1j3ckbV1zjCadWZgH/4u65Wkn3oH+nAmcCvwR+6e4bStDsHutm/x7p7u/FK9EuIOwV/7ZUbe+JHvTvbcBIwunvJ1Pu3zj/TYQxhh8A97v7xhI0u8e6mzd+5hxgODC34KhtLvSgfx8hXLDTCDyQt/7NQlkWWXEwbJuZ3UA4v/sa8GdAvbtfVzDf1wiXyM7IW3FRqDd5415+XfvYlTzoZd5TgTPc/bHit7xnepn3WOAkd3+h+C3vmd5+fy1ntzLoZf82AMPc/eXit7xn+qB/a/JUbGh71K3luT9wlLu/VfyWl6eyOwwfj1bUxpfHAAvdfTZwC3CVmV1UMPtjwPvAj83sq/F8ca70Nm8cWJqrAoue5+3v7mvzVmDR87z93H1L3gosup93euH3N28FFr3r3615K7Do5fo5bwUW2h51Z3nepQJrf2VVZJnZOMLtCKab2ccI1fNwAHd/h3DZ7/SCj9QQxiD9mnBo8v3itrh3lLfbeXcVt8W90wd5d5Mjvci7kspcniulfyt1fVVpeXO1PBdLWZwujAMCpxHO484G7iV03LvAFHc/Nc7XD5gPfMfdXzGzIUD/HI5jUF7lVV7lzQXlVd44XxJ5i61cjmS1Ea4qWuzh0vVbgbM9XAa618xujPMNJtyIcg2Au7+d0w5WXuUF5VXefFBe5YV08hZVuTy7sAWY4+5NBe8tiz9vBi42szsIt2NYkadz+p1QXuVV3vxSXuVVXumSsiiy4kDXwg4eDrRfnXEE8I+E2zK8Fs8N55ryKi/Km1vKq7wor3RRWRRZHTgeaDazfwd2A4vc/Y0StylLyqu8KVFe5U2J8qadN1NlMfC9kJkdR7hL7CvAbHd/qMRNypTyKm9KlFd5U6K8aecthnI8ktUK/ByYXiGXhCpv2pQ3bcqbNuWVXim7I1kiIiIiKSiXWziIiIiIJEVFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZKAcb+EgInJIZjYe+D5wGuHBtQOBAcC/uvucQ3z2OuA8d78u42aKSAXTkSwRySV3XwrcT3jcx1fc/RrgS8DNZnZTaVsnIqIjWSKSEHd/08ymAnPNbB5wN7AaGAy85O4zzWw0cC3wUTO7C3jc3f/LzL4GnAL8ATgGuMndd5QmiYikQEWWiKTmRaAe+AjwY3d/BsDMVpnZAndvNLMHCacLp8RpFwCXuvuF8fX3ganALSVJICJJUJElIqmqBs4zs88CLcAgYBSwqYN5LwGGmNnM+HoI8GZRWikiyVKRJSKp+SSwEzgfGOvulwKY2ZlATSefqQKWufsNcd4qoK4IbRWRhGngu4gkw8yOA24HvkcYh9Uc368GhhbMuguoMbMqM5sEPAVMMLP2Hc/LgRuL1nARSZIeEC0iuWRm44DbgNOBOYRbOBwN/Ju7P2pmJwKPAI3AO8BlwCrgeqAWmAusB5a4+31mdiPwx0AT0B/4prvvKm4qEUmJiiwRERGRDOh0oYiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgG/h++7uk9VFmU4gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test[['returns', 'strat_dnn_sk', 'strat_dnn_tf']].cumsum(\n", + " ).apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch15/strat_ml_15.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch16/16_automated_trading.ipynb b/code/ch16/16_automated_trading.ipynb new file mode 100644 index 0000000..1f7b231 --- /dev/null +++ b/code/ch16/16_automated_trading.ipynb @@ -0,0 +1,2183 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Automated Trading" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Risk Disclaimer" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "Trading forex/CFDs on margin carries a high level of risk and may not be suitable for all investors as you could sustain losses in excess of deposits. Leverage can work against you. Due to the certain restrictions imposed by the local law and regulation, German resident retail client(s) could sustain a total loss of deposited funds but are not subject to subsequent payment obligations beyond the deposited funds. Be aware and fully understand all risks associated with the market and trading. Prior to trading any products, carefully consider your financial situation and experience level. Any opinions, news, research, analyses, prices, or other information is provided as general market commentary, and does not constitute investment advice. FXCM & TPQ will not accept liability for any loss or damage, including without limitation to, any loss of profit, which may arise directly or indirectly from use of or reliance on such information.\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Author Disclaimer" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The author is neither an employee, agent nor representative of FXCM and is therefore acting independently. The opinions given are their own, constitute general market commentary, and do not constitute the opinion or advice of FXCM or any form of personal or investment advice. FXCM assumes no responsibility for any loss or damage, including but not limited to, any loss or gain arising out of the direct or indirect use of this or any other content. Trading forex/CFDs on margin carries a high level of risk and may not be suitable for all investors as you could sustain losses in excess of deposits." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "" + ], + "text/vnd.plotly.v1+html": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import math\n", + "import time\n", + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt\n", + "import cufflinks as cf\n", + "from pylab import mpl, plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(1000)\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Capital Management" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Kelly Criterion in a Binomial Setting" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "p = 0.55 " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "f = p - (1 - p) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.10000000000000009" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "I = 50 " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "n = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def run_simulation(f):\n", + " c = np.zeros((n, I)) \n", + " c[0] = 100 \n", + " for i in range(I): \n", + " for t in range(1, n): \n", + " o = np.random.binomial(1, p) \n", + " if o > 0: \n", + " c[t, i] = (1 + f) * c[t - 1, i] \n", + " else: \n", + " c[t, i] = (1 - f) * c[t - 1, i] \n", + " return c" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "c_1 = run_simulation(f) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[100. , 100. , 100. , ..., 100. , 100. , 100. ],\n", + " [ 90. , 110. , 90. , ..., 110. , 90. , 110. ],\n", + " [ 99. , 121. , 99. , ..., 121. , 81. , 121. ],\n", + " ...,\n", + " [226.35, 338.13, 413.27, ..., 123.97, 123.97, 123.97],\n", + " [248.99, 371.94, 454.6 , ..., 136.37, 136.37, 136.37],\n", + " [273.89, 409.14, 409.14, ..., 122.73, 150.01, 122.73]])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c_1.round(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(c_1, 'b', lw=0.5) \n", + "plt.plot(c_1.mean(axis=1), 'r', lw=2.5); \n", + "# plt.savefig('../../images/ch16/auto_plot_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "c_2 = run_simulation(0.05) " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "c_3 = run_simulation(0.25) " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "c_4 = run_simulation(0.5) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(c_1.mean(axis=1), 'r', label='$f^*=0.1$')\n", + "plt.plot(c_2.mean(axis=1), 'b', label='$f=0.05$')\n", + "plt.plot(c_3.mean(axis=1), 'y', label='$f=0.25$')\n", + "plt.plot(c_4.mean(axis=1), 'm', label='$f=0.5$')\n", + "plt.legend(loc=0);\n", + "# plt.savefig('../../images/ch16/auto_plot_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Kelly Criterion for Stocks and Indices" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n", + " index_col=0, parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "symbol = '.SPX'" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(raw[symbol])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "data['returns'] = np.log(data / data.shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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.SPXreturns
Date
2018-06-252717.07-0.013820
2018-06-262723.060.002202
2018-06-272699.63-0.008642
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" + ], + "text/plain": [ + " .SPX returns\n", + "Date \n", + "2018-06-25 2717.07 -0.013820\n", + "2018-06-26 2723.06 0.002202\n", + "2018-06-27 2699.63 -0.008642\n", + "2018-06-28 2716.31 0.006160\n", + "2018-06-29 2718.37 0.000758" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "mu = data.returns.mean() * 252 " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.09898579893004976" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mu " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "sigma = data.returns.std() * 252 ** 0.5 " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1488567510081967" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sigma " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "r = 0.0 " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "f = (mu - r) / sigma ** 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.4672043679706865" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "equs = []" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "def kelly_strategy(f):\n", + " global equs\n", + " equ = 'equity_{:.2f}'.format(f)\n", + " equs.append(equ)\n", + " cap = 'capital_{:.2f}'.format(f)\n", + " data[equ] = 1 \n", + " data[cap] = data[equ] * f \n", + " for i, t in enumerate(data.index[1:]):\n", + " t_1 = data.index[i] \n", + " data.loc[t, cap] = data[cap].loc[t_1] * \\\n", + " math.exp(data['returns'].loc[t]) \n", + " data.loc[t, equ] = data[cap].loc[t] - \\\n", + " data[cap].loc[t_1] + \\\n", + " data[equ].loc[t_1] \n", + " data.loc[t, cap] = data[equ].loc[t] * f " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "kelly_strategy(f * 0.5) " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "kelly_strategy(f * 0.66) " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "kelly_strategy(f) " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " equity_2.23 equity_2.95 equity_4.47\n", + "Date \n", + "2018-06-25 4.707070 6.367340 8.794342\n", + "2018-06-26 4.730248 6.408727 8.880952\n", + "2018-06-27 4.639340 6.246147 8.539593\n", + "2018-06-28 4.703365 6.359932 8.775296\n", + "2018-06-29 4.711332 6.374152 8.805026\n" + ] + } + ], + "source": [ + "print(data[equs].tail())" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = data['returns'].cumsum().apply(np.exp).plot(legend=True, figsize=(10, 6))\n", + "data[equs].plot(ax=ax, legend=True);\n", + "# plt.savefig('../../images/ch16/auto_plot_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ML-Based Trading Strategy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Vectorized Backtesting" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "import fxcmpy" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'1.1.34'" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fxcmpy.__version__" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%time api = fxcmpy.fxcmpy(config_file='../../cfg/fxcm.cfg') " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "data = api.get_candles('EUR/USD', period='m5',\n", + " start='2018-06-01 00:00:00',\n", + " stop='2018-06-30 00:00:00') " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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askopenaskcloseaskhighasklowtickqty
date
2018-06-29 20:35:001.168621.168821.168961.16839601
2018-06-29 20:40:001.168821.168531.168981.16852387
2018-06-29 20:45:001.168531.168261.168621.16822592
2018-06-29 20:50:001.168261.168361.168461.16819842
2018-06-29 20:55:001.168361.168611.168761.16834540
\n", + "
" + ], + "text/plain": [ + " askopen askclose askhigh asklow tickqty\n", + "date \n", + "2018-06-29 20:35:00 1.16862 1.16882 1.16896 1.16839 601\n", + "2018-06-29 20:40:00 1.16882 1.16853 1.16898 1.16852 387\n", + "2018-06-29 20:45:00 1.16853 1.16826 1.16862 1.16822 592\n", + "2018-06-29 20:50:00 1.16826 1.16836 1.16846 1.16819 842\n", + "2018-06-29 20:55:00 1.16836 1.16861 1.16876 1.16834 540" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.iloc[-5:, 4:]" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 6083 entries, 2018-06-01 00:00:00 to 2018-06-29 20:55:00\n", + "Data columns (total 9 columns):\n", + "bidopen 6083 non-null float64\n", + "bidclose 6083 non-null float64\n", + "bidhigh 6083 non-null float64\n", + "bidlow 6083 non-null float64\n", + "askopen 6083 non-null float64\n", + "askclose 6083 non-null float64\n", + "askhigh 6083 non-null float64\n", + "asklow 6083 non-null float64\n", + "tickqty 6083 non-null int64\n", + "dtypes: float64(8), int64(1)\n", + "memory usage: 475.2 KB\n" + ] + } + ], + "source": [ + "data.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.6338977478217845e-05" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spread = (data['askclose'] - data['bidclose']).mean() \n", + "spread " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "data['midclose'] = (data['askclose'] + data['bidclose']) / 2 " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.255685318140426e-05" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ptc = spread / data['midclose'].mean() \n", + "ptc " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data['midclose'].plot(figsize=(10, 6), legend=True);\n", + "# plt.savefig('../../images/ch16/auto_plot_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "data['returns'] = np.log(data['midclose'] / data['midclose'].shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "lags = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "cols = []\n", + "for lag in range(1, lags + 1):\n", + " col = 'lag_{}'.format(lag)\n", + " data[col] = data['returns'].shift(lag) \n", + " cols.append(col)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "data.dropna(inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "data[cols] = np.where(data[cols] > 0, 1, 0) " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "data['direction'] = np.where(data['returns'] > 0, 1, -1) " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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lag_1lag_2lag_3lag_4lag_5direction
date
2018-06-01 00:30:00101011
2018-06-01 00:35:00110101
2018-06-01 00:40:00111011
2018-06-01 00:45:00111101
2018-06-01 00:50:0011111-1
\n", + "
" + ], + "text/plain": [ + " lag_1 lag_2 lag_3 lag_4 lag_5 direction\n", + "date \n", + "2018-06-01 00:30:00 1 0 1 0 1 1\n", + "2018-06-01 00:35:00 1 1 0 1 0 1\n", + "2018-06-01 00:40:00 1 1 1 0 1 1\n", + "2018-06-01 00:45:00 1 1 1 1 0 1\n", + "2018-06-01 00:50:00 1 1 1 1 1 -1" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[cols + ['direction']].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.svm import SVC\n", + "from sklearn.metrics import accuracy_score" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [], + "source": [ + "model = SVC(C=1, kernel='linear')" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "split = int(len(data) * 0.80)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "train = data.iloc[:split].copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='auto', kernel='linear',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(train[cols], train['direction'])" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5198518823287389" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(train['direction'], model.predict(train[cols])) " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "test = data.iloc[split:].copy()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "test['position'] = model.predict(test[cols])" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5419407894736842" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "accuracy_score(test['direction'], test['position']) " + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "test['strategy'] = test['position'] * test['returns'] " + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "660" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(test['position'].diff() != 0) " + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "test['strategy_tc'] = np.where(test['position'].diff() != 0,\n", + " test['strategy'] - ptc, \n", + " test['strategy'])" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.999324\n", + "strategy 1.026141\n", + "strategy_tc 1.010977\n", + "dtype: float64" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[['returns', 'strategy', 'strategy_tc']].sum(\n", + " ).apply(np.exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test[['returns', 'strategy', 'strategy_tc']].cumsum(\n", + " ).apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch16/auto_plot_05.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns -0.040535\n", + "strategy_tc 0.654711\n", + "dtype: float64" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean = test[['returns', 'strategy_tc']].mean() * len(data) * 12 \n", + "mean" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.007861\n", + "strategy_tc 0.007837\n", + "dtype: float64" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "var = test[['returns', 'strategy_tc']].var() * len(data) * 12 \n", + "var" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns 0.088663\n", + "strategy_tc 0.088524\n", + "dtype: float64" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vol = var ** 0.5 \n", + "vol" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns -5.156448\n", + "strategy_tc 83.545792\n", + "dtype: float64" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean / var " + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "returns -2.578224\n", + "strategy_tc 41.772896\n", + "dtype: float64" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean / var * 0.5 " + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "to_plot = ['returns', 'strategy_tc'] " + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "for lev in [10, 20, 30, 40, 50]: \n", + " label = 'lstrategy_tc_%d' % lev \n", + " test[label] = test['strategy_tc'] * lev \n", + " to_plot.append(label) " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test[to_plot].cumsum().apply(np.exp).plot(figsize=(10, 6));\n", + "# plt.savefig('../../images/ch16/auto_plot_06.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Risk Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "equity = 3333 " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "risk = pd.DataFrame(test['lstrategy_tc_30']) " + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "risk['equity'] = risk['lstrategy_tc_30'].cumsum().apply(np.exp) * equity " + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "risk['cummax'] = risk['equity'].cummax() " + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [], + "source": [ + "risk['drawdown'] = risk['cummax'] - risk['equity'] " + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "781.7073602069818" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "risk['drawdown'].max() " + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2018-06-29 02:45:00')" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t_max = risk['drawdown'].idxmax() \n", + "t_max " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "temp = risk['drawdown'][risk['drawdown'] == 0] " + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [], + "source": [ + "periods = (temp.index[1:].to_pydatetime() -\n", + " temp.index[:-1].to_pydatetime()) " + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([datetime.timedelta(seconds=68700),\n", + " datetime.timedelta(seconds=72000),\n", + " datetime.timedelta(seconds=1800), datetime.timedelta(seconds=300),\n", + " datetime.timedelta(seconds=600), datetime.timedelta(seconds=300),\n", + " datetime.timedelta(seconds=17400),\n", + " datetime.timedelta(seconds=4500), datetime.timedelta(seconds=1500),\n", + " datetime.timedelta(seconds=900)], dtype=object)" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "periods[20:30] " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "t_per = periods.max() " + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.timedelta(seconds=76500)" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t_per " + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "21.25" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t_per.seconds / 60 / 60 " + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "risk[['equity', 'cummax']].plot(figsize=(10, 6))\n", + "plt.axvline(t_max, c='r', alpha=0.5);\n", + "# plt.savefig('../../images/ch16/auto_plot_07.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.stats as scs" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0] " + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "risk['returns'] = np.log(risk['equity'] /\n", + " risk['equity'].shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "VaR = scs.scoreatpercentile(equity * risk['returns'], percs) " + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "def print_var():\n", + " print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n", + " print(33 * '-')\n", + " for pair in zip(percs, VaR):\n", + " print('%16.2f %16.3f' % (100 - pair[0], -pair[1])) " + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Confidence Level Value-at-Risk\n", + "---------------------------------\n", + " 99.99 400.854\n", + " 99.90 175.932\n", + " 99.00 88.139\n", + " 97.50 60.485\n", + " 95.00 45.010\n", + " 90.00 32.056\n" + ] + } + ], + "source": [ + "print_var() " + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "hourly = risk.resample('1H', label='right').last() " + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "hourly['returns'] = np.log(hourly['equity'] /\n", + " hourly['equity'].shift(1))" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [], + "source": [ + "VaR = scs.scoreatpercentile(equity * hourly['returns'], percs) " + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Confidence Level Value-at-Risk\n", + "---------------------------------\n", + " 99.99 389.524\n", + " 99.90 372.657\n", + " 99.00 205.662\n", + " 97.50 186.999\n", + " 95.00 164.869\n", + " 90.00 101.835\n" + ] + } + ], + "source": [ + "print_var()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Persisting the Model Object" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [], + "source": [ + "import pickle" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "pickle.dump(model, open('algorithm.pkl', 'wb'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Online Algorithm" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [], + "source": [ + "algorithm = pickle.load(open('algorithm.pkl', 'rb'))" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma='auto', kernel='linear',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "algorithm" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [], + "source": [ + "sel = ['tradeId', 'amountK', 'currency',\n", + " 'grossPL', 'isBuy'] " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [], + "source": [ + "def print_positions(pos):\n", + " print('\\n\\n' + 50 * '=')\n", + " print('Going {}.\\n'.format(pos))\n", + " time.sleep(1.5) \n", + " print(api.get_open_positions()[sel]) \n", + " print(50 * '=' + '\\n\\n')" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [], + "source": [ + "symbol = 'EUR/USD' \n", + "bar = '15s' \n", + "amount = 100 \n", + "position = 0 \n", + "min_bars = lags + 1 \n", + "df = pd.DataFrame() " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [], + "source": [ + "def automated_strategy(data, dataframe):\n", + " global min_bars, position, df\n", + " ldf = len(dataframe) \n", + " df = dataframe.resample(bar, label='right').last().ffill() \n", + " if ldf % 20 == 0:\n", + " print('%3d' % len(dataframe), end=',')\n", + " \n", + " if len(df) > min_bars:\n", + " min_bars = len(df)\n", + " df['Mid'] = df[['Bid', 'Ask']].mean(axis=1)\n", + " df['Returns'] = np.log(df['Mid'] / df['Mid'].shift(1))\n", + " df['Direction'] = np.where(df['Returns'] > 0, 1, -1)\n", + " features = df['Direction'].iloc[-(lags + 1):-1] \n", + " features = features.values.reshape(1, -1) \n", + " signal = algorithm.predict(features)[0] \n", + "\n", + " if position in [0, -1] and signal == 1: \n", + " api.create_market_buy_order(\n", + " symbol, amount - position * amount)\n", + " position = 1\n", + " print_positions('LONG')\n", + " \n", + " elif position in [0, 1] and signal == -1: \n", + " api.create_market_sell_order(\n", + " symbol, amount + position * amount)\n", + " position = -1\n", + " print_positions('SHORT')\n", + " \n", + " if len(dataframe) > 350: \n", + " api.unsubscribe_market_data('EUR/USD')\n", + " api.close_all()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [], + "source": [ + "# api.subscribe_market_data(symbol, (automated_strategy,))" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [], + "source": [ + "# api.unsubscribe_market_data(symbol) " + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "# api.close_all()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logging and Monitoring" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#\r\n", + "# Automated ML-Based Trading Strategy for FXCM\r\n", + "# Online Algorithm, Logging, Monitoring\r\n", + "#\r\n", + "# Python for Finance, 2nd ed.\r\n", + "# (c) Dr. Yves J. Hilpisch\r\n", + "#\r\n", + "import zmq\r\n", + "import time\r\n", + "import pickle\r\n", + "import fxcmpy\r\n", + "import numpy as np\r\n", + "import pandas as pd\r\n", + "import datetime as dt\r\n", + "\r\n", + "sel = ['tradeId', 'amountK', 'currency',\r\n", + " 'grossPL', 'isBuy']\r\n", + "\r\n", + "log_file = 'automated_strategy.log'\r\n", + "\r\n", + "# loads the persisted algorithm object\r\n", + "algorithm = pickle.load(open('algorithm.pkl', 'rb'))\r\n", + "\r\n", + "# sets up the socket communication via ZeroMQ (here: \"publisher\")\r\n", + "context = zmq.Context()\r\n", + "socket = context.socket(zmq.PUB)\r\n", + "\r\n", + "# this binds the socket communication to all IP addresses of the machine\r\n", + "socket.bind('tcp://0.0.0.0:5555')\r\n", + "\r\n", + "\r\n", + "def logger_monitor(message, time=True, sep=True):\r\n", + " ''' Custom logger and monitor function.\r\n", + " '''\r\n", + " with open(log_file, 'a') as f:\r\n", + " t = str(dt.datetime.now())\r\n", + " msg = ''\r\n", + " if time:\r\n", + " msg += '\\n' + t + '\\n'\r\n", + " if sep:\r\n", + " msg += 66 * '=' + '\\n'\r\n", + " msg += message + '\\n\\n'\r\n", + " # sends the message via the socket\r\n", + " socket.send_string(msg)\r\n", + " # writes the message to the log file\r\n", + " f.write(msg)\r\n", + "\r\n", + "\r\n", + "def report_positions(pos):\r\n", + " ''' Prints, logs and sends position data.\r\n", + " '''\r\n", + " out = '\\n\\n' + 50 * '=' + '\\n'\r\n", + " out += 'Going {}.\\n'.format(pos) + '\\n'\r\n", + " time.sleep(2) # waits for the order to be executed\r\n", + " out += str(api.get_open_positions()[sel]) + '\\n'\r\n", + " out += 50 * '=' + '\\n'\r\n", + " logger_monitor(out)\r\n", + " print(out)\r\n", + "\r\n", + "\r\n", + "def automated_strategy(data, dataframe):\r\n", + " ''' Callback function embodying the trading logic.\r\n", + " '''\r\n", + " global min_bars, position, df\r\n", + " # resampling of the tick data\r\n", + " df = dataframe.resample(bar, label='right').last().ffill()\r\n", + "\r\n", + " if len(df) > min_bars:\r\n", + " min_bars = len(df)\r\n", + " logger_monitor('NUMBER OF BARS: ' + str(min_bars))\r\n", + " # data processing and feature preparation\r\n", + " df['Mid'] = df[['Bid', 'Ask']].mean(axis=1)\r\n", + " df['Returns'] = np.log(df['Mid'] / df['Mid'].shift(1))\r\n", + " df['Direction'] = np.where(df['Returns'] > 0, 1, -1)\r\n", + " # picks relevant points\r\n", + " features = df['Direction'].iloc[-(lags + 1):-1]\r\n", + " # necessary reshaping\r\n", + " features = features.values.reshape(1, -1)\r\n", + " # generates the signal (+1 or -1)\r\n", + " signal = algorithm.predict(features)[0]\r\n", + "\r\n", + " # logs and sends major financial information\r\n", + " logger_monitor('MOST RECENT DATA\\n' +\r\n", + " str(df[['Mid', 'Returns', 'Direction']].tail()),\r\n", + " False)\r\n", + " logger_monitor('features: ' + str(features) + '\\n' +\r\n", + " 'position: ' + str(position) + '\\n' +\r\n", + " 'signal: ' + str(signal), False)\r\n", + "\r\n", + " # trading logic\r\n", + " if position in [0, -1] and signal == 1: # going long?\r\n", + " api.create_market_buy_order(\r\n", + " symbol, size - position * size) # places a buy order\r\n", + " position = 1 # changes position to long\r\n", + " report_positions('LONG')\r\n", + "\r\n", + " elif position in [0, 1] and signal == -1: # going short?\r\n", + " api.create_market_sell_order(\r\n", + " symbol, size + position * size) # places a sell order\r\n", + " position = -1 # changes position to short\r\n", + " report_positions('SHORT')\r\n", + " else: # no trade\r\n", + " logger_monitor('no trade placed')\r\n", + "\r\n", + " logger_monitor('****END OF CYCLE***\\n\\n', False, False)\r\n", + "\r\n", + " if len(dataframe) > 350: # stopping condition\r\n", + " api.unsubscribe_market_data('EUR/USD') # unsubscribes from data stream\r\n", + " report_positions('CLOSE OUT')\r\n", + " api.close_all() # closes all open positions\r\n", + " logger_monitor('***CLOSING OUT ALL POSITIONS***')\r\n", + "\r\n", + "\r\n", + "if __name__ == '__main__':\r\n", + " symbol = 'EUR/USD' # symbol to be traded\r\n", + " bar = '15s' # bar length; adjust for testing and deployment\r\n", + " size = 100 # position size in thousand currency units\r\n", + " position = 0 # initial position\r\n", + " lags = 5 # number of lags for features data\r\n", + " min_bars = lags + 1 # minimum length for resampled DataFrame\r\n", + " df = pd.DataFrame()\r\n", + " # adjust configuration file location\r\n", + " api = fxcmpy.fxcmpy(config_file='../fxcm.cfg')\r\n", + " # the main asynchronous loop using the callback function\r\n", + " api.subscribe_market_data(symbol, (automated_strategy,))\r\n" + ] + } + ], + "source": [ + "!cat automated_strategy.py" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#\r\n", + "# Automated ML-Based Trading Strategy for FXCM\r\n", + "# Strategy Monitoring via Socket Communication\r\n", + "#\r\n", + "# Python for Finance, 2nd ed.\r\n", + "# (c) Dr. Yves J. Hilpisch\r\n", + "#\r\n", + "import zmq\r\n", + "\r\n", + "# sets up the socket communication via ZeroMQ (here: \"subscriber\")\r\n", + "context = zmq.Context()\r\n", + "socket = context.socket(zmq.SUB)\r\n", + "\r\n", + "# adjust the IP address to reflect the remote location if necessary\r\n", + "socket.connect('tcp://206.189.51.42:5555')\r\n", + "\r\n", + "# configures the socket to retrieve every message\r\n", + "socket.setsockopt_string(zmq.SUBSCRIBE, '')\r\n", + "\r\n", + "while True:\r\n", + " msg = socket.recv_string()\r\n", + " print(msg)\r\n" + ] + } + ], + "source": [ + "!cat strategy_monitoring.py" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/code/ch16/strategy_monitoring.py b/code/ch16/strategy_monitoring.py new file mode 100644 index 0000000..d7d8330 --- /dev/null +++ b/code/ch16/strategy_monitoring.py @@ -0,0 +1,22 @@ +# +# Automated ML-Based Trading Strategy for FXCM +# Strategy Monitoring via Socket Communication +# +# Python for Finance, 2nd ed. +# (c) Dr. Yves J. Hilpisch +# +import zmq + +# sets up the socket communication via ZeroMQ (here: "subscriber") +context = zmq.Context() +socket = context.socket(zmq.SUB) + +# adjust the IP address to reflect the remote location +socket.connect('tcp://REMOTE_IP_ADDRESS:5555') + +# configures the socket to retrieve every message +socket.setsockopt_string(zmq.SUBSCRIBE, '') + +while True: + msg = socket.recv_string() + print(msg) diff --git a/code/ch17/17_dx_analytics.ipynb b/code/ch17/17_dx_analytics.ipynb new file mode 100644 index 0000000..961172d --- /dev/null +++ b/code/ch17/17_dx_analytics.ipynb @@ -0,0 +1,2585 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# DX Analytics" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "f087ed8b-b432-48a9-a791-451ac477c046" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import mpl, plt\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "1d45b83a-110e-4c94-9404-859554d3f2d7" + }, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../dx')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## DX Frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Risk-Neutral Discounting" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "uuid": "c10b29e3-bd0a-4c3f-83ea-234cc959fa5b" + }, + "outputs": [], + "source": [ + "dates = [dt.datetime(2020, 1, 1), dt.datetime(2020, 7, 1),\n", + " dt.datetime(2021, 1, 1)]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4986301369863014" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(dates[1] - dates[0]).days / 365." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5041095890410959" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(dates[2] - dates[1]).days / 365." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "uuid": "6ae9c451-fdf0-41b0-9b4e-89f57c2bcc3c" + }, + "outputs": [], + "source": [ + "fractions = [0.0, 0.5, 1.0]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "from get_year_deltas import get_year_deltas" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.49863014, 1.00273973])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_year_deltas(dates)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "uuid": "278721fb-d9a8-4270-a7d5-62f85cff52f0" + }, + "outputs": [], + "source": [ + "from constant_short_rate import constant_short_rate" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "uuid": "ed812d8b-0e9d-47ab-8793-4bede4dfaf36" + }, + "outputs": [], + "source": [ + "csr = constant_short_rate('csr', 0.05)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "uuid": "1ebd8c12-ee83-46cd-a0b6-7439aa8756b4" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[datetime.datetime(2020, 1, 1, 0, 0), 0.9510991280247174],\n", + " [datetime.datetime(2020, 7, 1, 0, 0), 0.9753767163648953],\n", + " [datetime.datetime(2021, 1, 1, 0, 0), 1.0]], dtype=object)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "csr.get_discount_factors(dates)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.49863014, 1.00273973])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "deltas = get_year_deltas(dates)\n", + "deltas" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "uuid": "c545e941-ad55-4975-abdd-2071c0453b0a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0. , 0.95109913],\n", + " [0.49863014, 0.97537672],\n", + " [1.00273973, 1. ]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "csr.get_discount_factors(deltas, dtobjects=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Market Environment" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from market_environment import market_environment" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "uuid": "455e1e9e-45be-4c74-b2d3-5dac6132d568" + }, + "outputs": [], + "source": [ + "me = market_environment('me_gbm', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('initial_value', 36.)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('volatility', 0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('final_date', dt.datetime(2020, 12, 31))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('currency', 'EUR')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('frequency', 'M')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "3d703766-a01a-458a-8730-ab52da923737" + }, + "outputs": [], + "source": [ + "me.add_constant('paths', 10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "946be8e3-9d32-42ec-becf-7174d6d37cb7" + }, + "outputs": [], + "source": [ + "me.add_curve('discount_curve', csr)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.2" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "me.get_constant('volatility')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.05" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "me.get_curve('discount_curve').short_rate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## DX Simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "from sn_random_numbers import *" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[-0.8044583 , 0.32093155],\n", + " [-0.02548288, 0.64432383]],\n", + "\n", + " [[-0.30079667, 0.38947455],\n", + " [-0.1074373 , -0.47998308]]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n", + " moment_matching=False, fixed_seed=True)\n", + "snrn" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.045429" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(snrn.mean(), 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.451876" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(snrn.std(), 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[-1.67972865, 0.81075283],\n", + " [ 0.04413963, 1.52641815]],\n", + "\n", + " [[-0.56512826, 0.96243813],\n", + " [-0.13722505, -0.96166678]]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n", + " moment_matching=True, fixed_seed=True)\n", + "snrn" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.0" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(snrn.mean(), 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(snrn.std(), 6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Geometric Brownian Motion" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "5e40de07-230f-4e0a-b993-4081ec791fe7" + }, + "outputs": [], + "source": [ + "from dx_frame import *" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "uuid": "b630a638-da9f-4084-9e2b-14b0e1565fd6" + }, + "outputs": [], + "source": [ + "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "a49a07ca-f6e7-495e-acc1-edfb73b22edd" + }, + "outputs": [], + "source": [ + "me_gbm.add_constant('initial_value', 36.)\n", + "me_gbm.add_constant('volatility', 0.2)\n", + "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n", + "me_gbm.add_constant('currency', 'EUR')\n", + "me_gbm.add_constant('frequency', 'M') \n", + "me_gbm.add_constant('paths', 10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "520e0490-b29b-441e-a2f7-ae89fc87cf0f" + }, + "outputs": [], + "source": [ + "csr = constant_short_rate('csr', 0.06)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "bac36a29-b2b5-4f62-b848-7cb6f382dc9b" + }, + "outputs": [], + "source": [ + "me_gbm.add_curve('discount_curve', csr)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "f9193b81-e8d5-48ea-a86a-94a15a01022f" + }, + "outputs": [], + "source": [ + "from geometric_brownian_motion import geometric_brownian_motion" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "a00112c1-422e-4140-83e9-1388bc660b11" + }, + "outputs": [], + "source": [ + "gbm = geometric_brownian_motion('gbm', me_gbm) " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "a6f31102-77b0-4076-a9d6-7a92f3ffdc5e" + }, + "outputs": [], + "source": [ + "gbm.generate_time_grid() " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "ac81750e-be2b-403b-8260-20822f5307a7" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([datetime.datetime(2020, 1, 1, 0, 0),\n", + " datetime.datetime(2020, 1, 31, 0, 0),\n", + " datetime.datetime(2020, 2, 29, 0, 0),\n", + " datetime.datetime(2020, 3, 31, 0, 0),\n", + " datetime.datetime(2020, 4, 30, 0, 0),\n", + " datetime.datetime(2020, 5, 31, 0, 0),\n", + " datetime.datetime(2020, 6, 30, 0, 0),\n", + " datetime.datetime(2020, 7, 31, 0, 0),\n", + " datetime.datetime(2020, 8, 31, 0, 0),\n", + " datetime.datetime(2020, 9, 30, 0, 0),\n", + " datetime.datetime(2020, 10, 31, 0, 0),\n", + " datetime.datetime(2020, 11, 30, 0, 0),\n", + " datetime.datetime(2020, 12, 31, 0, 0)], dtype=object)" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gbm.time_grid " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "uuid": "a480cd1f-a793-476b-bdd2-a79b568a1872" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 11.4 ms, sys: 3.58 ms, total: 15 ms\n", + "Wall time: 11.4 ms\n" + ] + } + ], + "source": [ + "%time paths_1 = gbm.get_instrument_values() " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "aed54761-2093-409d-912a-fded6f76b418" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[36. , 36. , 36. , ..., 36. , 36. , 36. ],\n", + " [37.403, 38.12 , 34.4 , ..., 36.252, 35.084, 39.668],\n", + " [39.562, 42.335, 32.405, ..., 34.836, 33.637, 37.655],\n", + " ...,\n", + " [40.534, 33.506, 23.497, ..., 37.851, 30.122, 30.446],\n", + " [42.527, 36.995, 21.885, ..., 36.014, 30.907, 30.712],\n", + " [43.811, 37.876, 24.1 , ..., 36.263, 28.138, 29.038]])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "paths_1.round(3) " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "uuid": "e6dfa29f-27df-4e30-ba44-7f784425d4d9" + }, + "outputs": [], + "source": [ + "gbm.update(volatility=0.5) " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "uuid": "d1ec64b1-5f80-4c8b-b4ef-d1cbe2622d31" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 21 ms, sys: 2.39 ms, total: 23.4 ms\n", + "Wall time: 6.36 ms\n" + ] + } + ], + "source": [ + "%time paths_2 = gbm.get_instrument_values() " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "uuid": "48e79769-db06-4973-8e3a-a8933df14b1e" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "p1 = plt.plot(gbm.time_grid, paths_1[:, :10], 'b')\n", + "p2 = plt.plot(gbm.time_grid, paths_2[:, :10], 'r-.')\n", + "l1 = plt.legend([p1[0], p2[0]],\n", + " ['low volatility', 'high volatility'], loc=2)\n", + "plt.gca().add_artist(l1)\n", + "plt.xticks(rotation=30);\n", + "# plt.savefig('../../images/ch18/dx_sim_01.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Jump Diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "uuid": "32912563-dcc1-4399-b5ed-1603c83f19f6" + }, + "outputs": [], + "source": [ + "me_jd = market_environment('me_jd', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "66dda0df-b62e-4596-803f-3f74d0b83320" + }, + "outputs": [], + "source": [ + "# specific to simulation class\n", + "me_jd.add_constant('lambda', 0.3) \n", + "me_jd.add_constant('mu', -0.75) \n", + "me_jd.add_constant('delta', 0.1) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "uuid": "c1e390cc-dd6b-4186-a7be-012f8187ebe4" + }, + "outputs": [], + "source": [ + "me_jd.add_environment(me_gbm) " + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "31aeb150-6007-4eaa-b70b-8a798f044f0c" + }, + "outputs": [], + "source": [ + "from jump_diffusion import jump_diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "e9c72a6e-3433-442e-9db3-02abf8efaff2" + }, + "outputs": [], + "source": [ + "jd = jump_diffusion('jd', me_jd)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "18fd9ba5-e1c6-4e90-ac6a-fa3727acc524" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 35.1 ms, sys: 3.59 ms, total: 38.7 ms\n", + "Wall time: 13.4 ms\n" + ] + } + ], + "source": [ + "%time paths_3 = jd.get_instrument_values() " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "38806874-53b2-4e91-9bd5-5764654446b8" + }, + "outputs": [], + "source": [ + "jd.update(lamb=0.9) " + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "uuid": "a2bd3f5d-44cb-458d-ae7d-9238d7a6b93b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 43.1 ms, sys: 2.46 ms, total: 45.6 ms\n", + "Wall time: 14 ms\n" + ] + } + ], + "source": [ + "%time paths_4 = jd.get_instrument_values() " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "5b744e93-dac1-4868-8499-6a8f70bcfc42" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "p1 = plt.plot(gbm.time_grid, paths_3[:, :10], 'b')\n", + "p2 = plt.plot(gbm.time_grid, paths_4[:, :10], 'r-.')\n", + "l1 = plt.legend([p1[0], p2[0]],\n", + " ['low intensity', 'high intensity'], loc=3)\n", + "plt.gca().add_artist(l1)\n", + "plt.xticks(rotation=30);\n", + "# plt.savefig('../../images/ch18/dx_sim_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Square-Root Diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "uuid": "5cee70a6-b34b-47dd-a0ca-e4a239209f9a" + }, + "outputs": [], + "source": [ + "me_srd = market_environment('me_srd', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "cce8be97-72ab-44b8-8080-74caa746f4fe" + }, + "outputs": [], + "source": [ + "me_srd.add_constant('initial_value', .25)\n", + "me_srd.add_constant('volatility', 0.05)\n", + "me_srd.add_constant('final_date', dt.datetime(2020, 12, 31))\n", + "me_srd.add_constant('currency', 'EUR')\n", + "me_srd.add_constant('frequency', 'W')\n", + "me_srd.add_constant('paths', 10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "51da0da3-f606-4872-a44e-356ab708c1b7" + }, + "outputs": [], + "source": [ + "# specific to simualation class\n", + "me_srd.add_constant('kappa', 4.0)\n", + "me_srd.add_constant('theta', 0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "uuid": "d88f4994-9f99-4b84-ae61-64b9ef193bfb" + }, + "outputs": [], + "source": [ + "me_srd.add_curve('discount_curve', constant_short_rate('r', 0.0)) " + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "uuid": "9614dce2-b786-447f-b750-4ef4d78e1cd9" + }, + "outputs": [], + "source": [ + "from square_root_diffusion import square_root_diffusion" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "uuid": "2ab8a1b3-0ca9-41cc-977b-a935a6f0bec8" + }, + "outputs": [], + "source": [ + "srd = square_root_diffusion('srd', me_srd) " + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "uuid": "0ae9685b-e73c-45f5-996f-58c21843234a" + }, + "outputs": [], + "source": [ + "srd_paths = srd.get_instrument_values()[:, :10] " + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "uuid": "c25fa7d4-688a-4275-9224-0bc20a8b54c0" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(srd.time_grid, srd.get_instrument_values()[:, :10])\n", + "plt.axhline(me_srd.get_constant('theta'), color='r',\n", + " ls='--', lw=2.0)\n", + "plt.xticks(rotation=30);\n", + "# plt.savefig('../../images/ch18/dx_sim_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Valuation Classes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### European Options" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "uuid": "9f6df028-fd97-4dc9-9960-d5202b94feb1" + }, + "outputs": [], + "source": [ + "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "uuid": "527be3e7-3e98-4fe5-b41e-23af730c0921" + }, + "outputs": [], + "source": [ + "me_gbm.add_constant('initial_value', 36.)\n", + "me_gbm.add_constant('volatility', 0.2)\n", + "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n", + "me_gbm.add_constant('currency', 'EUR')\n", + "me_gbm.add_constant('frequency', 'M')\n", + "me_gbm.add_constant('paths', 10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "uuid": "fc61c07b-7bb2-45ac-a10d-617a24747953" + }, + "outputs": [], + "source": [ + "csr = constant_short_rate('csr', 0.06)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "uuid": "6acd3ae9-5986-4cec-9f66-407ddd79202e" + }, + "outputs": [], + "source": [ + "me_gbm.add_curve('discount_curve', csr)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "uuid": "dc0c43ae-c6f0-434e-ad6e-c3fbe91b1175" + }, + "outputs": [], + "source": [ + "gbm = geometric_brownian_motion('gbm', me_gbm)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "uuid": "17f4b627-7fb8-43f6-bb15-26a6a4d60b0b" + }, + "outputs": [], + "source": [ + "me_call = market_environment('me_call', me_gbm.pricing_date)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "uuid": "838f54a8-e11c-4ab5-85ce-8393d89f957f" + }, + "outputs": [], + "source": [ + "me_call.add_constant('strike', 40.)\n", + "me_call.add_constant('maturity', dt.datetime(2020, 12, 31))\n", + "me_call.add_constant('currency', 'EUR')" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "uuid": "4bfb5550-ab6b-4b56-9604-3fad05c5f334" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(maturity_value - strike, 0)'" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "uuid": "5a331672-9004-43b0-9ba6-61622d4e1b65" + }, + "outputs": [], + "source": [ + "from valuation_mcs_european import valuation_mcs_european" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "uuid": "0ba08733-7d34-488e-b460-e5abc223a85a" + }, + "outputs": [], + "source": [ + "eur_call = valuation_mcs_european('eur_call', underlying=gbm,\n", + " mar_env=me_call, payoff_func=payoff_func)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "uuid": "1869f59a-2c88-4bb4-bde6-b662edbd5f62" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 10.8 ms, sys: 2.25 ms, total: 13 ms\n", + "Wall time: 7.82 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "2.146828" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time eur_call.present_value() " + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "uuid": "62330fe7-0fbe-4a24-886e-a9c64b61122c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 20.7 ms, sys: 1.17 ms, total: 21.8 ms\n", + "Wall time: 5.3 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "0.5155" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time eur_call.delta() " + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "uuid": "999b5d90-57b9-46da-b7cc-981841df58b8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 40.5 ms, sys: 1.23 ms, total: 41.7 ms\n", + "Wall time: 9.92 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "14.301" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time eur_call.vega() " + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "uuid": "bf5e7430-eea7-47ae-b1a6-e335c144929b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 717 ms, sys: 4.02 ms, total: 721 ms\n", + "Wall time: 181 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "s_list = np.arange(34., 46.1, 2.)\n", + "p_list = []; d_list = []; v_list = []\n", + "for s in s_list:\n", + " eur_call.update(initial_value=s)\n", + " p_list.append(eur_call.present_value(fixed_seed=True))\n", + " d_list.append(eur_call.delta())\n", + " v_list.append(eur_call.vega())" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "uuid": "70b7e095-a138-47bb-90b5-2a658d74b87c" + }, + "outputs": [], + "source": [ + "from plot_option_stats import plot_option_stats" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "uuid": "2590618e-3bfd-4416-82b6-eef269a28f38" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_option_stats(s_list, p_list, d_list, v_list)\n", + "# plt.savefig('../../images/ch19/dx_val_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "uuid": "2d5ca812-5448-47fe-9fd3-af2ab7eca13e" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(0.33 * (maturity_value + max_value) - 40, 0)' " + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "uuid": "62c9340d-a2a3-477e-b640-389d81c3b8a1" + }, + "outputs": [], + "source": [ + "eur_as_call = valuation_mcs_european('eur_as_call', underlying=gbm,\n", + " mar_env=me_call, payoff_func=payoff_func)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "uuid": "50f5cf9a-d2c7-4e69-9361-e3bf8678c4a3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 493 ms, sys: 2.44 ms, total: 495 ms\n", + "Wall time: 129 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "s_list = np.arange(34., 46.1, 2.)\n", + "p_list = []; d_list = []; v_list = []\n", + "for s in s_list:\n", + " eur_as_call.update(s)\n", + " p_list.append(eur_as_call.present_value(fixed_seed=True))\n", + " d_list.append(eur_as_call.delta())\n", + " v_list.append(eur_as_call.vega())" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "uuid": "a4602156-ade5-49fe-97c8-3088dc47944c" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_option_stats(s_list, p_list, d_list, v_list)\n", + "# plt.savefig('../../images/ch19/dx_val_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### American Options" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "uuid": "81d66ea7-15df-429a-9f87-fc2f2c881726" + }, + "outputs": [], + "source": [ + "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "uuid": "f822430b-6875-4b81-9c15-4684eea1225c" + }, + "outputs": [], + "source": [ + "me_gbm.add_constant('initial_value', 36.)\n", + "me_gbm.add_constant('volatility', 0.2)\n", + "me_gbm.add_constant('final_date', dt.datetime(2021, 12, 31))\n", + "me_gbm.add_constant('currency', 'EUR')\n", + "me_gbm.add_constant('frequency', 'W')\n", + "me_gbm.add_constant('paths', 50000)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": { + "uuid": "ed806c52-2dc7-4dec-a8dc-8e0d99e18a3c" + }, + "outputs": [], + "source": [ + "csr = constant_short_rate('csr', 0.06)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": { + "uuid": "78738a9b-8f75-4710-b31d-415cdade6bb8" + }, + "outputs": [], + "source": [ + "me_gbm.add_curve('discount_curve', csr)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "uuid": "4b0692ba-91f6-4d19-adfd-d4b31590542b" + }, + "outputs": [], + "source": [ + "gbm = geometric_brownian_motion('gbm', me_gbm)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "uuid": "ab695214-a424-4ead-9c96-ef75a8f52ed0" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(strike - instrument_values, 0)'" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "uuid": "558b7076-4cc6-4e45-9e04-395eb3ba8aac" + }, + "outputs": [], + "source": [ + "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "uuid": "783eb5ab-6dd6-4561-9614-aedb4247d6ab" + }, + "outputs": [], + "source": [ + "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31))\n", + "me_am_put.add_constant('strike', 40.)\n", + "me_am_put.add_constant('currency', 'EUR')" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": { + "uuid": "dd6bc5f2-ed01-4877-a7da-dee5d9bd9c45" + }, + "outputs": [], + "source": [ + "from valuation_mcs_american import valuation_mcs_american" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": { + "uuid": "a43bc735-e35e-4621-9185-5d9d415b0efd" + }, + "outputs": [], + "source": [ + "am_put = valuation_mcs_american('am_put', underlying=gbm,\n", + " mar_env=me_am_put, payoff_func=payoff_func)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "uuid": "eeb5de5d-f95b-4acd-bbab-2eae998d8f46" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.84 s, sys: 103 ms, total: 1.95 s\n", + "Wall time: 588 ms\n" + ] + }, + { + "data": { + "text/plain": [ + "4.472834" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time am_put.present_value(fixed_seed=True, bf=5)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "uuid": "671c9254-1fa5-432c-accb-4d0610abd910" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 57.3 s, sys: 515 ms, total: 57.8 s\n", + "Wall time: 14.5 s\n" + ] + } + ], + "source": [ + "%%time\n", + "ls_table = []\n", + "for initial_value in (36., 38., 40., 42., 44.): \n", + " for volatility in (0.2, 0.4):\n", + " for maturity in (dt.datetime(2020, 12, 31),\n", + " dt.datetime(2021, 12, 31)):\n", + " am_put.update(initial_value=initial_value,\n", + " volatility=volatility,\n", + " maturity=maturity)\n", + " ls_table.append([initial_value,\n", + " volatility,\n", + " maturity,\n", + " am_put.present_value(bf=5)])" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "uuid": "125e9a02-1db7-4fdd-bdd8-6f0f522281d3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "S0 | Vola | T | Value\n", + "----------------------\n", + "36 | 0.2 | 1 | 4.447\n", + "36 | 0.2 | 2 | 4.773\n", + "36 | 0.4 | 1 | 7.006\n", + "36 | 0.4 | 2 | 8.377\n", + "38 | 0.2 | 1 | 3.213\n", + "38 | 0.2 | 2 | 3.645\n", + "38 | 0.4 | 1 | 6.069\n", + "38 | 0.4 | 2 | 7.539\n", + "40 | 0.2 | 1 | 2.269\n", + "40 | 0.2 | 2 | 2.781\n", + "40 | 0.4 | 1 | 5.211\n", + "40 | 0.4 | 2 | 6.756\n", + "42 | 0.2 | 1 | 1.556\n", + "42 | 0.2 | 2 | 2.102\n", + "42 | 0.4 | 1 | 4.466\n", + "42 | 0.4 | 2 | 6.049\n", + "44 | 0.2 | 1 | 1.059\n", + "44 | 0.2 | 2 | 1.617\n", + "44 | 0.4 | 1 | 3.852\n", + "44 | 0.4 | 2 | 5.490\n" + ] + } + ], + "source": [ + "print('S0 | Vola | T | Value')\n", + "print(22 * '-')\n", + "for r in ls_table:\n", + " print('%d | %3.1f | %d | %5.3f' % \n", + " (r[0], r[1], r[2].year - 2019, r[3]))" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "uuid": "481d5438-d32b-40a2-aa8c-687b19138e29" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.4631" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "am_put.update(initial_value=36.)\n", + "am_put.delta()" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "uuid": "84cf9547-c8b3-4205-81e5-8949ae798394" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "18.0961" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "am_put.vega()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Portfolios" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Position" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "uuid": "e826f896-6999-4007-b0b2-c46750e0afc4" + }, + "outputs": [], + "source": [ + "from dx_valuation import *" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "uuid": "636c1eae-142b-447f-a137-d36d81e4626b" + }, + "outputs": [], + "source": [ + "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1)) " + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "uuid": "6e3324f6-21ee-46f4-b330-205ab3766f1f" + }, + "outputs": [], + "source": [ + "me_gbm.add_constant('initial_value', 36.) \n", + "me_gbm.add_constant('volatility', 0.2) \n", + "me_gbm.add_constant('currency', 'EUR') " + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "uuid": "4133fd96-79aa-4df7-8dbb-328561e2267c" + }, + "outputs": [], + "source": [ + "me_gbm.add_constant('model', 'gbm') " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "uuid": "552c207a-7c7d-4809-a5ee-64c11d7604a3" + }, + "outputs": [], + "source": [ + "from derivatives_position import derivatives_position" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "uuid": "d2cd3a35-f2a9-470c-a705-299172dd8887" + }, + "outputs": [], + "source": [ + "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1)) " + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "uuid": "f3bd69f3-c361-44ce-9cad-3584366b459f" + }, + "outputs": [], + "source": [ + "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31)) \n", + "me_am_put.add_constant('strike', 40.) \n", + "me_am_put.add_constant('currency', 'EUR') " + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "uuid": "70aa8500-9a8a-4d54-951e-ac820eaff24d" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(strike - instrument_values, 0)' " + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "uuid": "ce2244bd-c4c0-4386-a518-06c3373a96b1" + }, + "outputs": [], + "source": [ + "am_put_pos = derivatives_position(\n", + " name='am_put_pos',\n", + " quantity=3,\n", + " underlying='gbm',\n", + " mar_env=me_am_put,\n", + " otype='American',\n", + " payoff_func=payoff_func) " + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "uuid": "9bb959eb-6ce0-48eb-9f1f-bf64eee505fe" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NAME\n", + "am_put_pos \n", + "\n", + "QUANTITY\n", + "3 \n", + "\n", + "UNDERLYING\n", + "gbm \n", + "\n", + "MARKET ENVIRONMENT\n", + "\n", + "**Constants**\n", + "maturity 2020-12-31 00:00:00\n", + "strike 40.0\n", + "currency EUR\n", + "\n", + "**Lists**\n", + "\n", + "**Curves**\n", + "\n", + "OPTION TYPE\n", + "American \n", + "\n", + "PAYOFF FUNCTION\n", + "np.maximum(strike - instrument_values, 0)\n" + ] + } + ], + "source": [ + "am_put_pos.get_info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Portfolio" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "uuid": "a7f7a55f-cf66-457a-ba2f-9c9f15697d98" + }, + "outputs": [], + "source": [ + "me_jd = market_environment('me_jd', me_gbm.pricing_date)" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "uuid": "4c2da9df-820c-49bb-9da0-fa212aa8ac40" + }, + "outputs": [], + "source": [ + "# add jump diffusion specific parameters\n", + "me_jd.add_constant('lambda', 0.3)\n", + "me_jd.add_constant('mu', -0.75)\n", + "me_jd.add_constant('delta', 0.1)\n", + "# add other parameters from gbm\n", + "me_jd.add_environment(me_gbm)" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": { + "uuid": "6f93e1aa-7ccb-4434-b79e-2357bb056fc9" + }, + "outputs": [], + "source": [ + "# needed for portfolio valuation\n", + "me_jd.add_constant('model', 'jd')" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "uuid": "178e550a-e040-4ac8-9ad8-e3bbf4fdc50d" + }, + "outputs": [], + "source": [ + "me_eur_call = market_environment('me_eur_call', me_jd.pricing_date)" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "uuid": "08c13651-9fbf-44bf-b9a9-e94409a6e891" + }, + "outputs": [], + "source": [ + "me_eur_call.add_constant('maturity', dt.datetime(2020, 6, 30))\n", + "me_eur_call.add_constant('strike', 38.)\n", + "me_eur_call.add_constant('currency', 'EUR')" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "uuid": "c62a77e4-a502-4ceb-a5a3-9b3ec2be7d72" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(maturity_value - strike, 0)'" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "uuid": "f1cb96fa-385a-41d6-b68d-1f80c9590370" + }, + "outputs": [], + "source": [ + "eur_call_pos = derivatives_position(\n", + " name='eur_call_pos',\n", + " quantity=5,\n", + " underlying='jd',\n", + " mar_env=me_eur_call,\n", + " otype='European',\n", + " payoff_func=payoff_func)" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "uuid": "e8df55ac-a860-4dd6-88f2-c4aa15e323f9" + }, + "outputs": [], + "source": [ + "underlyings = {'gbm': me_gbm, 'jd' : me_jd} \n", + "positions = {'am_put_pos' : am_put_pos,\n", + " 'eur_call_pos' : eur_call_pos} " + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "uuid": "38a7b06d-9923-4729-bbaf-184b55930d69" + }, + "outputs": [], + "source": [ + "csr = constant_short_rate('csr', 0.06) " + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "uuid": "d8ecc803-4ea8-45b4-975f-88e716a171e6" + }, + "outputs": [], + "source": [ + "val_env = market_environment('general', me_gbm.pricing_date)\n", + "val_env.add_constant('frequency', 'W')\n", + "val_env.add_constant('paths', 25000)\n", + "val_env.add_constant('starting_date', val_env.pricing_date)\n", + "val_env.add_constant('final_date', val_env.pricing_date) \n", + "val_env.add_curve('discount_curve', csr) " + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "uuid": "1f533a99-c881-4628-befe-ce63bbfdaafd" + }, + "outputs": [], + "source": [ + "from derivatives_portfolio import derivatives_portfolio" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "uuid": "7a231d26-ec5f-4b0f-8c2e-d5ee4b93f0c4" + }, + "outputs": [], + "source": [ + "portfolio = derivatives_portfolio(\n", + " name='portfolio',\n", + " positions=positions,\n", + " val_env=val_env,\n", + " assets=underlyings,\n", + " fixed_seed=False) " + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": { + "uuid": "ec163641-6908-4fc8-bb75-95483021f1b4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 7.79 s, sys: 128 ms, total: 7.92 s\n", + "Wall time: 2.03 s\n" + ] + }, + { + "data": { + "text/html": [ + "
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1eur_call_pos52.828634EUR14.1431703.252542.2655
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" + ], + "text/plain": [ + " name quant. value curr. pos_value pos_delta pos_vega\n", + "0 am_put_pos 3 4.458891 EUR 13.376673 -2.0430 31.7850\n", + "1 eur_call_pos 5 2.828634 EUR 14.143170 3.2525 42.2655" + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time portfolio.get_statistics(fixed_seed=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "uuid": "97aebfec-ec91-4d6b-af5f-ff36c5300122" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "pos_value 27.502731\n", + "pos_delta 1.233500\n", + "pos_vega 74.050500\n", + "dtype: float64" + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.get_statistics(fixed_seed=False)[\n", + " ['pos_value', 'pos_delta', 'pos_vega']].sum() " + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "scrolled": false, + "uuid": "2448b331-3d97-4358-a07b-453dc15659f8" + }, + "outputs": [], + "source": [ + "# portfolio.get_positions() " + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "uuid": "aa0c765f-2e15-4e74-a46e-ed8e7c43e825" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4.453187" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.valuation_objects['am_put_pos'].present_value() " + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "uuid": "ea398cfa-fb40-4ed8-b9bf-c067d135fe11" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6514" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.valuation_objects['eur_call_pos'].delta() " + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "uuid": "f8a828ff-4fc9-40b4-8dee-f3b27035978b" + }, + "outputs": [], + "source": [ + "path_no = 888\n", + "path_gbm = portfolio.underlying_objects[\n", + " 'gbm'].get_instrument_values()[:, path_no]\n", + "path_jd = portfolio.underlying_objects[\n", + " 'jd'].get_instrument_values()[:, path_no]" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "uuid": "9cd814c6-2762-489a-b926-883a078f0142" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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namequant.valuecurr.pos_valuepos_deltapos_vega
0am_put_pos34.458556EUR13.375668-2.037630.8676
1eur_call_pos52.817813EUR14.0890653.337542.2340
\n", + "
" + ], + "text/plain": [ + " name quant. value curr. pos_value pos_delta pos_vega\n", + "0 am_put_pos 3 4.458556 EUR 13.375668 -2.0376 30.8676\n", + "1 eur_call_pos 5 2.817813 EUR 14.089065 3.3375 42.2340" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_corr.get_statistics()" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "uuid": "c3f911fc-b3f5-4fd2-bf53-d45cbb78e67b" + }, + "outputs": [], + "source": [ + "path_gbm = port_corr.underlying_objects['gbm'].\\\n", + " get_instrument_values()[:, path_no]\n", + "path_jd = port_corr.underlying_objects['jd'].\\\n", + " get_instrument_values()[:, path_no]" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": { + "uuid": "e2b1e218-8908-42e9-a9c7-8dc0c58a95c1" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n", + "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n", + "plt.xticks(rotation=30)\n", + "plt.legend(loc=0);\n", + "# plt.savefig('../../images/ch20/dx_port_02.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 39.71423714, 24.90720272, ..., 0. ,\n", + " 6.42619093, 8.15838265])" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pv1 = 5 * port_corr.valuation_objects['eur_call_pos'].\\\n", + " present_value(full=True)[1]\n", + "pv1" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([21.31806027, 10.71952869, 19.89804376, ..., 21.39292703,\n", + " 17.59920608, 0. ])" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pv2 = 3 * port_corr.valuation_objects['am_put_pos'].\\\n", + " present_value(full=True)[1]\n", + "pv2" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.hist([pv1, pv2], bins=25,\n", + " label=['European call', 'American put']);\n", + "plt.axvline(pv1.mean(), color='r', ls='dashed',\n", + " lw=1.5, label='call mean = %4.2f' % pv1.mean())\n", + "plt.axvline(pv2.mean(), color='r', ls='dotted',\n", + " lw=1.5, label='put mean = %4.2f' % pv2.mean())\n", + "plt.xlim(0, 80); plt.ylim(0, 10000)\n", + "plt.legend();\n", + "# plt.savefig('../../images/ch20/dx_port_03.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pvs = pv1 + pv2\n", + "plt.figure(figsize=(10, 6))\n", + "plt.hist(pvs, bins=50, label='portfolio');\n", + "plt.axvline(pvs.mean(), color='r', ls='dashed',\n", + " lw=1.5, label='mean = %4.2f' % pvs.mean())\n", + "plt.xlim(0, 80); plt.ylim(0, 7000)\n", + "plt.legend();\n", + "# plt.savefig('../../images/ch20/dx_port_04.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "16.723724772741118" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pvs.std() " + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "21.80498672323975" + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pv1 = (5 * portfolio.valuation_objects['eur_call_pos'].\n", + " present_value(full=True)[1])\n", + "pv2 = (3 * portfolio.valuation_objects['am_put_pos'].\n", + " present_value(full=True)[1])\n", + "(pv1 + pv2).std() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/code/ch21/21_market_valuation.ipynb b/code/ch21/21_market_valuation.ipynb new file mode 100644 index 0000000..3a231cc --- /dev/null +++ b/code/ch21/21_market_valuation.ipynb @@ -0,0 +1,1891 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python for Finance (2nd ed.)\n", + "\n", + "**Mastering Data-Driven Finance**\n", + "\n", + "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Model Calibration" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "uuid": "f087ed8b-b432-48a9-a791-451ac477c046" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import datetime as dt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import mpl, plt\n", + "plt.style.use('seaborn')\n", + "mpl.rcParams['font.family'] = 'serif'\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "uuid": "1d45b83a-110e-4c94-9404-859554d3f2d7" + }, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../')\n", + "sys.path.append('../dx')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "dax = pd.read_csv('../../source/tr_eikon_option_data.csv',\n", + " index_col=0) " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "for col in ['CF_DATE', 'EXPIR_DATE']:\n", + " dax[col] = dax[col].apply(lambda date: pd.Timestamp(date)) " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Int64Index: 115 entries, 0 to 114\n", + "Data columns (total 7 columns):\n", + "Instrument 115 non-null object\n", + "CF_DATE 115 non-null datetime64[ns]\n", + "EXPIR_DATE 114 non-null datetime64[ns]\n", + "PUTCALLIND 114 non-null object\n", + "STRIKE_PRC 114 non-null float64\n", + "CF_CLOSE 115 non-null float64\n", + "IMP_VOLT 114 non-null float64\n", + "dtypes: datetime64[ns](2), float64(3), object(2)\n", + "memory usage: 7.2+ KB\n" + ] + } + ], + "source": [ + "dax.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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"metadata": {}, + "outputs": [], + "source": [ + "initial_value = dax.iloc[0]['CF_CLOSE'] " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "calls = dax[dax['PUTCALLIND'] == 'CALL'].copy() \n", + "puts = dax[dax['PUTCALLIND'] == 'PUT '].copy() " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "calls.set_index('STRIKE_PRC')[['CF_CLOSE', 'IMP_VOLT']].plot(\n", + " secondary_y='IMP_VOLT', style=['bo', 'rv'], figsize=(10, 6));\n", + "# plt.savefig('../../images/ch21/dx_cal_01.png');" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VxAdJpcC2WuXHIE7lIUP2qokPkkqBbbXKj+G5ykbT3HlsuPCSbtmrJj5IKgV1dc09js+f3/O4ip9BnMpGb9mrJj5IKgW21So/tt2SsG2XJGlo2HZLyjHbdkmSio2JDRLYtkuSVHQM4qQU23ZJKgYNDQmWLBnNypUjqaraQl1ds+veypRr4qQsRjQ2MnlmYMTmzR1jbYkEa37/kMkPknKqvStDVyYwFA7XxEkFxOxVSYXCrgxKZxAn9YFtuyQVArsyKJ3/16U+MHtVUiHorfuCXRnKk4kNUl/0kr1q5qqkXKqra+5xTZxdGcqTQZzURz1lr5q5KimXkskLm1i6dGt26vz5ZqeWK7NTpUEwc1WSlM7sVKlImLkqScqXQd1ODSGcDewONAIzgJOBMcClwHOpsW/FGN9I238iUAn8NsZ4x2BeXyoETcfNY5t77wbMXJUk5c6Ag7gQwk7AAmBKjHFLCOF24GjgI8B/xhh/FUL4JHA58E8hhA8Cs2KMnwghVABPhRD+EGN8ewjeh5Q37ZmrIxsbu2Wumvggqb/syKC+GsxM3EagmeTM2tvAeOCvJGfhLknt8wDwL6mvjwIeBIgxbg4hrAAOAZyNU3HL0HfVxAdJ/dG1I8OKFaNSj+3IoO4GvCYuxrgWOBv49xDCDcDLwN+AHYB1qd3WApUhhESX8fZtOwz09aVC0jR3HhsuvKRb39WmY+bSVlHRaawtkWDDRYtzeXqSioQdGdQfAw7iQgjvIxnEHRljPInkurgLgFXAhNRuE4E1McaWLuPt21YN9PWlQtK6737dEhzAxAdJ/WNHBvXHYD4VOwOrUwEawGvAtsDdwMGpsQ+lHgPc1T6empmrBv4wiNeXioItuyT1lR0Z1B8DrhMXQhgFXAk0kVwTtw9QB7wDfB/4O7AncF6X7NTK1H+/6Ut2qnXiVPQ2b2byzMDIxkbWLbqMplNO69hk4oOkdF3XxLWrr3dNXLHIZZ04i/1KOTDu/HMZvex+1ix7sNO6uTH11zB+YfeZORMfpPLV0JCwI0MRM4hLYxCnUjDqyScYter1buvj7PggSaXFjg1SiTHxQZI01AzipDwz8UGSNBAGcVKetXd8ALp1fJBUehoaEtTUjGXatPHU1IyloWFQHTBVxvzkSPnWS8cHM1el0mNHBg0lExukAtBT4oOZq1LpqakZy4oVo7qNV1e3smzZxjyckYaa2alpDOJUrsxclUrPtGnjaW3t/js+kWjj1VfX5+GMNNRyGcR5O1UqUO2Zq9vce3fHmJmrUnGrqtrS40ycHRnKRwhhJ+BiYGaM8aDU2B7A5cAjwPuAf+tLQwQTG6QCZuaqVFrq6pp7HJ8/v+dxlaQPA7cD6TN25wD/E2O8lGTXqyv6ciCDOKmAmbkqlZba2hbq6zdRXd1KItFGdXWrLbXKTIzxZmBdl+E3gKmpr6cCy/tyLG+nSoWsl8xVMHtVKla1tS0Gberqh0BDCOGHwAeA7/XlSQUfxFVWjiWR6L5+QCobX/kyfOaTTJ1W2Xn8mFr4xjeoeLTLH2xHHAH33JO785MkDdYNwE9jjDeGEKYCz4QQpscYV2d6UsEHcWvWmHKtMrfznsn/3uw8+z5izqeZXHFO9+zV879H65tdZ+ol5VJDQ4IlS7Y2sa+rs4l9uZg6dcJAnrYr8Frq6zXAFvqw5M0SI1IRm3ji5ztlr2485VQ2LPpBHs9IUteCvu1c+1YespUYCSHUACcChwPXkUxiOACoAx4F9gCWxxh/nO21DOKkIjb6nrvY7qTjgWT26uqHHnM9nJRnFvQtb9aJk9Qn7dmrIxsbu2Wvmvgg5cfKlT3fBettXBoogzipmGXIXm2ecwTjFy7olvhg2y5peFnQV7ninwVSkWuaO48NF14Cic5/kzUdM5e2iopOY22JBBsuWpzL05PKjgV9lSsGcVKRa913P5pnH9ZtvL1tVzrbdknDz4K+yhUTG6QSZuKDJOVWLhMbnImTSphtuySpdJnYIJWyXhIfzFyVBsdivioE3k6VStyoJ59g1KrXO62PG1N/DeMXLui2r5mrUnYW81UmubydahAnlaERjY1Mnhm6t+z6/UMmPkhZWMxXmbgmTtKwMnNVGjiL+apQ+ImTylTTcfM6vt5SWcnGs7vfXpXUXW9Fey3mq1wzsUEqU7bskgamrq65xzVxFvNVrhnESeXKll3SgCSTFzaxdOnW7NT5881OVe6Z2CCVsZ4yV8HEB0kaKBMbJOWELbskqXgZxEnqkYkPKmcNDQlqasYybdp4amrG0tDg6iMVHj+VknqUKfFBKmVdi/muWDEq9dhiviosromT1Ktx55/L6GX3s2bZg5DY+jef2asqZRbz1WDkck2cM3GSetU0dx6bZ83uFMCB2asqbRbzVbHwEympV70lPjQdM5e2iopOY22JBBsuWpyrU5OGjcV8VSwM4iT1m9mrKmV1dT0X7bWYrwpN2d1ObWhIsGTJ1gKNdXWDL9DY2NjIjTf+KxMmTGTz5s08//xzvP/9B1BRMZrrrruSj33scCorKwH461//wle+cjozZoQej/XHPz7IH//4v0yYMJH169exatUq5s07kR133Ilrr72Shx9+iDPO+AYf+9icTs978cUXuPXWXzNhwkQA1q9fzxe+cDLbb789ALfddjN/+9szVFZO4tVXX2HKlKl85Stn8PDDD3HttVcyZcoU9t77vQC8+uor1NR8lEMOOXRQ10Wlrem4eWxz792A2asqLRbzVbEoqyBuODKOmpubOe+8M1m06AfssMOOAKxe/Rbnn38u1177U37+859x9NGfZfr09wDwxBOPU1k5ucdjPfbYcm6//VYuueQyRoxIrou89dZf88QTj3PsscdzxBFH8dxzz3YL4BobG1m4cAHXXvsTxo0bD8Bzzz3LggVncvXVP6GpaRM//emPufPO/2DEiBG0tLTwox9dBsAHPvAP/Md/3Mtee+3NMcfMBeDll19ic1qRV6knvWWvmvSgUlBb22LQpoJXVrdTlywZ3eP40qU9j/fF//7vf7PTTtM6AjiASZMmc8klP+i275133saYMWOYMmVKj8e68cZfcNRRn+4I4AA+9alaPvGJT2U8h7vuuo2DDvpgRwAHMH36nowaleCJJx6nomI0bW1t3HTTL3n77bdJJBKcffa3ejzWX/7yJE888Th77DE942tK7W27WqpCp7ZdzXOOoOLR5Wx7668Zd/mlTPzal6k8YjYTvvqlPJ6s1Jl14FQKBvWpDSEE4PPAJqAG+C6wClgI/A3YHfhmjHF9CGEksAhYD+wGXB9jfGgwr99fw5Fx9PLLLzF5cveZtfbbpwC//OW/MHHi9jz//LPstdfevR7rlVdeYtKkzsdKJBKMHz++l2ckvfHG67z73bt3G588eTKvvPIS++9/AFdd9c/88pc3cMIJN7DrrrvxhS+czD/8wz927Lts2f28/PLLrF7dyAc/+I/djiX1pKfs1aZj5jLuogu6tewy6UGFwjpwKhUDDuJCCKOAHwKfjDFuCSH8K9AC/By4IMb4cAjhDOBckkHdscDEGON5IYRJwEMhhL1jjK2Dfxt9U1W1pcfaP4PJONphhx15+ukVGfeZN+8LTJ/+Hhob32Ts2HG97jd16g6sXv1Wv89hxx134q23GruNv/XWW0ydmpwhnD59TxYu/B6tra38/ve/4/zzz+GWW+5iu+2Sa+YOPfSjHHPMXDZsWM+mTU39PgeVp9Z996OV/TqNtSc9tK+XA5MeVFgy3ZUxiFMxGczt1IOAEcAZIYQFwCeBt4FZwCOpfR4Ajkx9fSTwIECMcTXQBLx3EK/fb8ORcXTIIbN46aUXefPNVR1jL774Auee+41u+06ZMpWxY8f2eqzjjjuBe+65g/QCzDfc8FPuTftl2NWvfvVvHHXUp3nkkT+yYcP6jvHnnnuWpqYmDjzwA7z22qssXnwRAKNGjeKQQw6loqLnH2LJW7JtrFz5dK+vKWVjyy4VMuvAqVQM5nbqbsDBwOdjjP8XQvgFMBnYFGNsj0LWAjukvt4BWJf2/PRtOTEcGUfbbrstV1xxJTfd9EvGjRvH5s2bWb36Lc46awF33XU769ev5447Gjj66GN597t3y3is9tubV1/9I8aNG8+6deuorKxkzpxPsGbNGu677x7eequRG274acdzXnnlZY499nguumgx//zP1zJx4nYANDU1cfnlVzJq1CjGjRvP2rX/x5VXXsG4ceN57bVX+cpXzmC77bbnT396mGeffYb/+7//Y9265P+exsZGqqvfS1XVXgO+LipvtuxSIRuOuzJSPgy47VYI4QiSt00PTj0+DfgI8Flg2xhjWwjh/cBPY4zvDyH8HPhtjPHnqf2fAE6IMT6R6XVsuyUVJ1t2qVB1XRPXrr7eNXEavGJpu/VHYHIIYVRqXdtuwF9JzsYdBDwMfAhovxd4N3AI8PPUmrhtU/tLKkG27FKhsg6cSsWAZ+IAQgi1wEeBN4F3A2cAOwIXAM+lxs5My05dDGxMjf+kL9mppTgT9/LLL/HEE493Gtt5512ZOfN9eTojKXdGNDYyeWbolr265vcPmfwgqejlciZuUEFcLpRiECeVu4knfr5T9urGU05lw6LutRWlwRiODj1SNrkM4kzFkZRzZq9quLWve1uxYhStrSM6asFZ1FelxE+zpJzLlL1q4oOGgrXgVA7KKojzl4NUIFItu0Yvu79Tyy4w8UFDw1pwKgdltSZuTP01jF/Y/baNvxz6rv3zkt7fdbi0trYyalT3Wk4qDaOefIJRq16nefZhncZNfNBQqKkZ22MtuOrqVpYt25iHM1K5cE3cMGk6Zi5tFRWdxgbb0/Gpp/7C6ad/mdNO+yKPP/4ojz/+KKef/mWOOeYoNqf9EgK49tor+fSnD+fOO29jzZrVXHLJd/n0pw/n+uvrue66q/j2t89mzZrV3V5j48aNfO97CznyyNk89ND/dow3NNzMaad9kWeeibzzzjv87Gc/4Sc/uY7rr6/niiu+z2OPJWcyNm/ezNKlVzB79oe47babOx37q189hauvXsKiRRcyZ04NV1+9hKuvXsIll3y323msXv0WS5deQUtLz7ci/vSnh7n66iUZr9dzz/2Nr3/9NO65585u29atW9dp/LHHlnPrrb/OeDwVr9Z99+sWwMHWtl3pbNul/hqODj1SoSmrIG44fjlUV+/D/vsfwD777Mf73vd+3ve+97P//gcwadIk7rzzto791qxZw4oVf2XKlKl88pOfobJyEkcccRRTpkzl5JNP5StfOYPp09/DjTf+vNtrjB07lnPO+TatrVt417ve1TE+btx4vvzlrzJjRmDRoguZPn1PvvSlr3Dyyacyf/43+dnPfsLKlU9TUVHBscd+nm233ZbPfOaznY595JGf4vTT6zjuuHlMmDCR00+v4/TT63jf+97f7Twuvvg7HHvs56noEgi3O/DAD/C1r83PeL2mT38PM2fu3+O29es7B3EHHvgBXnzxBR55JGslGpUYEx80WLW1LdTXb6K6upVEoo3q6laL+arklFUQB7n75XDSSV/iF7+4gebm5F99t976K2prP5fxOY2NjR0N6bvaZpttOeyww7n99oaOscceW87++x/AqlVvsHz5w9TUfLRjWyKR4PDDj+Tmm/8942seeeSn+jT+8ssvsXr1at71rp2B5Kzi0UcfyQ03/JRzzqlj6dIruOqqH3LGGacC0NzczEUXLeSqq37Iz372E0444ViuuuqHHcd7+umnuPLKKzjttC/y9NNPAXDHHQ28/vprXH99PX/5y5MAfOhDH6GhwVvd5aY98QGwbZcGrLa2hWXLNvLqq+tZtmyjAZxKTtkFcbn65TB9+p7ss89+3HHHraxe/RYjR45k++27B2iNjW9y/fX1XHvtUnbYYQeOPfb4Xo/5qU8dzb333kVzczMvvvh3dt313YwYMYLXX3+NSZMmd9t/0qTJvPzyS0Pyfp5//lmmTp3a8firX/06b7+9hqOPPpbFi6/gE584is9+9riO7XfeeRtjx47ljDPO5AtfOJmNGzd02j5u3Hi+/vVvMnfu8fzmN3el3l8tO+00jZNPPpV99tkXgClTduD5558dkvegIpJKfGipCp0SH7bifMhdAAAfMElEQVQ7+ii2P3wWE047mbGXLWKbX99EYvkjjOhhGYJKX0NDgpqasUybNp6amrGWD1HZKb9PfIasuKH2//7fl/jmN8/gjTfeYN68L/Dcc3/rtk/77dS+eM97ZrDzzruybNn9PP/8sx0B34477sTq1W9123/16reYOnWHwb2JlObmzd2SDCorJzFx4kQAZswIvPbaqx3bnn/+OXbZZVcARo4cybRp7+r03PZt2223PRs39r7IOJFI8M477wzJe1Bx6altl5mrate1/2l7HTjwlqkKWwhhJ+BiYGaM8aDU2AiSXa8Adge2jzF+Mduxym4mDpK/HDZceEm3no5DbY89pjNz5v4kEokeZ+EG4lOfquXWW3/Fhg3rqaysBJJB3AEHHMSyZf/VsV9LSwv33XcPn/vc53s91q9+9W99ft0dd9yRtWvXdhrLlKG6xx578NJLLwKwZcuWTgFeb88dOXLrx/GZZyIAa9euZccdd+rzeap09JT4MBzJSSpOmerASQXuw8DtQPovwhOAt2OMV8YYzwQyZwmmlGUQ11tW3EA8/fRT/PnPj/HXvz7Jn//8eMfjW275FS0tLXznOxdz6qlfY82aNdx33z289VYjv/3tbzo9vummX/T59T72sTm88MJzHHLIrE7j3/rWd3nuuWc7slOvvvpHfPGLX2afffalpaWFW275Fe+88w433PDTjv8ee+xRAN55p4k77mhg/fr13HXX7T2+7t57v5e3317TMSt25523sX79+k7n3tDwa95443UefPABjjrqM2zYsIElSy7nxht/znbbbceIESN48cW/8+c/P8YDD/yBxsZG7rvvHp599hmefvopJk+ewujRo7nqqh/y9NMrAPjrX5/g0EM/2uM5qfyYuap21oFTsYox3gys6zI8D5gUQvh6CGERsL4vxyr4OnEtLa1tiYS1wiSl3HYb1NYmv540CZ55JvmvJBWGrHXiQgiHApfHGA9MPV4B3BhjvCiEUAXcBewdY2zNdJyCXxO3Zo1FGQvJSy+9yA477Mg222yTcb81a9Zw8cXf4f3vP4DVq99i773fy8c+Nqdfr/XCC8+zyy67khjm294qMh84hMmpll3rzjqPptYKeLPrH7UqdV3XxLWzjIjyberUCQN52lrgjwAxxpUhhInArsALmZ7kb8cC1FMh3E984pN5OJPudt313X3ar7KykiuuuHJQr7X77nsM6vkqURmSk2ytVz6Sgdomli4dzcqVI6mq2sL8+c0GcCpW/wVMB0gFcKOA17M9qeBvpw5l2y1JpaG3ll221istDQ0JlizZGqTV1RmkqfBla7sVQqgBTgQOB64DrgBGA5cBfwf2BG6JMd6T7bUM4iSVDPuulg5vl6pY2TtVkgbA7NXSYQkRKTuDOEklxb6rpcESIlJ2JjZIKintrfVGNjZ2a61n4kPxqKrawooV3ctLVVVtycPZSIXJIE5SacmQvWrbruJRV9fc45q4+fOb83A2UmEysUFSyekte9XEh+LS0JCwhIiKTi4TGwziJJWViSd+nm3uvbvj8cZTTmXDoh/k8YzKm2VEVGrMTpWkYWLiQ+FoLyOyYsUoWltHsGLFKE49dQwNDa70kfrCIE5SWWlPfAC6JT4otywjIg2Of+5IKi+27SoYlhGRBscgTlLZaZo7j82zZkOi849As1dzyzIi0uD4546kstO6737dMlcBmo6ZS1tFRaextkSCDRctztWplZW6up7LhVhGROobgzhJSrFt19BraEhQUzOWadPGU1MztlPSQm1tC/X1m6iubiWRaKO6utXeqFI/WGJEktKMvucutjvpeCCZvbr6ocdcDzdANrFXOcpliRHXxElSmt7adpn00H+Zsk8N4qTBM4iTpHS9ZK+a9NB/Zp9Kw8vvJEnqomnuPDZceEmn7FWTHvqvtyxTs0+loWEQJ0ld9JS9atJD/5l9Kg0vgzhJ6iNbdvWP2afS8DI7VZL6avNmJs8MjGxsZN2iy2g65bSOTeWa+GADe6mzXGanGsRJUj+MO/9cRi+7nzXLHuy0Zm5M/TWMX9h9Zq6UEx8sISJ1ZxCXxiBOUiEZ9eQTjFr1erf1cSMaG5k8MzBi8+aOsbZEgjW/f6hk183V1IztsW1WdXUry5ZtzMMZSfmXyyDONXGS1A+9tewqx8QHS4hI+TXoOnEhhDHAH4HfxhjPCiFsC1wOvALMAC6NMa5M7XsCsD/QCjwbY6wf7OtLUqFoOm4e29x7N1AeiQ82sJfyayj+XLoYeCztcR3wYoxxMfAj4HqAEMIuwFnAWTHGc4BTQggzhuD1JakgtHd7ADp1eyhVlhCR8mtQQVwI4Z+AB4Dn04aPBB4EiDE+CcwMIUwE5gDLY4zta9weBI4YzOtLUkFJdXtoqQqduj1AMnt1+8NnMeG0kxl72SK2+fVNJJY/wog1q/N0sn3XWxN7S4hI+TXg26khhGpg7xjjt0II+6Vt2gFYl/Z4bWqst3FJKhlNc+exedbsTpmrULxtu7pmoK5YMSr1OBmstf8nKfcGMxNXCzSFEM4DPgx8IIRQB6wCJqTtNzE11tu4JJWM3hIfirVtV6Ym9pLya8BBXIzxkhjjRTHGS4H/AR6OMS4B7gYOBggh7Av8Oca4FrgPOCCE0J56ezDwm0GdvSQViWLNXjUDVSpcg64TF0I4BvgaMBq4BriNZHbqa8B7gEVdslMPJJmdurIv2anWiZNUKkbfcxfbnXQ8kMxeXf3QYwWf/GAtOKl/LPabxiBOUsnopW1Xvlt2ZWqdZVcGqX8M4tIYxEkqJT217cpny66+BGkNDQmWLt0a5M2fb39UqTcGcWkM4iSVkp7aduWzZZe3S6WhZdstSSpRPWWv5jPpwcQFqXj5XSpJBaDpuHkdX+eyZVdvLbJsnSUVvkH3TpUkDV57y66RjY3dWnYNZ+JDXV1zj2vibJ0lFT6DOEkqBKmWXaOX3d+tZddguz1kyj5N/rvJxAWpCJnYIEkFoqekBxhc4oMlQqTcMrFBkspQby27BpP4YNssqXQZxElSERho4oPZp1Lpck2cJBWBgSY+VFX1XAfO7FMpP0IIOwEXAzNjjAd12TYP+AUwIca4PtuxDOIkqRgMMPGhru52s0+lwvJh4HbgfemDIYS9ger+HMj5dEkqEk1z57Hhwks62nW1u3XM8TRT0WlsMwluO+QyamtbqK/fRHV1K4lEG9XVrSY1SHkUY7wZWJc+FkIYC5wDXNifYzkTJ0lFonXf/Whlv27jl16/MxP5BJ/h9o6x6/gK9f++Lx/9ykZqa1sM2qTCdgnwvRhjcwihz08q+BIjLS2tbYlE9/UckqQ0t90GtbXJrydNgmeeSf4rKdeylhgJIRwKXB5jPDCEsCvwPeDp1ObFwHeAe2KMf8r4QoUexFknTpIyF+ytqRnLMyu28Ao7swNvcgZXcjVnUF3dymOTPjps3R4kddeXOnHpQVwP29roY2KDQZwkFbhsBXvbt/+IOg7jt+zHE7SSoL5+E8evWsr4hd3LkfS124Ok/skWxIUQaoATgcOB64ArYoybQghTgVNJzsp9D6iPMb6S6VgGcZJU4Gpqei4TUl3dyrJlG4FkoHff95/inRfe4Pm95nS0zhpMtwdJ/ZfLjg0GcZJU4KZNG09ra/ffC4lEG6++mvWOCxNP/Dzb3Ht3x+ONp5zKhkU/GNJzlJRk2y1JUofeCvP2tWDvQLs9SCpsBnGSVAAaGhLU1Ixl2rTx1NSMpaFhawWourqeC/P2tWBve7cHoMduD9sfPosJp53M2MsWsc2vbyKx/BFGrFk9iHcjKRe8nSpJeZYtcaF9n6VLt2antq9566tx55/L6GX3s2bZg52KBY+pv8bEB2kIuSYujUGcpFLXl8SFwRr15BOMWvU6zbMP6zRu4oM0tFwTJ0llZOXKnn8U9zY+EK377tctgANomzKl2/imk042gJOKgEGcJOVIb+veBpu4MFgmPkjFyd6pkpQDXde9rVgxKvV4E3V1zT2uietr4sJgtSc+jGxs7DHxwY4PUmEyiJOkHFiyZHSP40uXjk6te9s0qMSFQamooOnozzF62f00nXRKp03Nc45g/MIFVDy6vNO4iQ9S/pnYIEk5MNiCvcPNxAdpaJjYIElFKFOtt3yve8vGxAep+BjESdIQaF/ztmLFKFpbR3SseWsP5AZbsDefTHyQCpNr4iRpCGRa81Zb25Ja35bHdW+D0Fvig0kPUn65Jk6S+qihIcGSJVuDsLq6rUFYoa95G6yeOj7Y7UHqzo4NaQziJBWCbK2xctF1IZ96Snww6UHqzsQGSSowmW6XQnGveeuLnhIfTHqQ8ssgTpL6IFtrrNraFurrN1Fd3Uoi0UZ1dWunBvalyqQHKX9MbJCkNL2te6uq2tLj7dL0EiFbExjKh90epPxxTZwkpWRa9wZkXBNXznpKegATH1SeTGxIYxAnKVeyJSc0NCSKskTIcLPbg7SVQVwagzhJQ6mcy4Tkw8QTP882997d8XjjKaeyYdEP8nhG0vAyO1WShkG2rgqF3hqrGJn4IA2fASc2hBD2BC4GHgV2Ad6KMV4UQpgEXAo8B8wAvhVjfCP1nLOBiUAl8NsY4x2DPH9J6rNsXRXq6pp7XPdWKmVC8sHEB2n4DCY7dRJwU4zxdoAQwlMhhLuBLwH/GWP8VQjhk8DlwD+FED4IzIoxfiKEUAE8FUL4Q4zx7cG+CUlql+l2aV/KhBRra6yCVVFB09GfY/Sy+2k66ZROm5rnHMH4hQuoeHR5p3ETH6S+GXAQF2N8pMvQSGADcCRwSWrsAeBfUl8fBTyYeu7mEMIK4BDA2ThJQ6Jrdmn77VLYZJmQPGqaO4/Ns2Z3ylwFaDpmLuMuuqBb4sOGixbn+hSlojQka+JCCLXAfTHGp4EdgHWpTWuByhBCost4+7YdhuL1JZWPhoYENTVjmTZtPDU1YzvWs4FdFQpVT90ewI4P0mANOogLIcwCZgHfSA2tAiakvp4IrIkxtnQZb9+2arCvL6l8ZEtMsKtC8THxQRq4QXVsCCEcCXwEmA9MCyHsBtwNHAy8BHwo9RjgLuA7qeclgGrgD4N5fUnlJVtigrdLi09viQ8mPUjZDbhOXAjhAOD3wJ9SQ+OAa0iucfs+8HdgT+C8Ltmplan/ftOX7FTrxEnlp7fkhGx13DJ1XDBwK1w9dXyw24OKlcV+0xjESeUlUyC2ZMnojB0V2p9vdmlx6anjg90eVKwM4tIYxEmlJ1MZkEytr+bP77mOmzNtpSlTtwdvt6pQGcSlMYiTSku2W559uWXqTFt5GH3PXWx30vFAMulh9UOPdQRo3m5VoTKIS2MQJ5WWbE3ms21XGdm8mckzAyMbG1m36DKaTjmtY5O3W1Wo7J0qqahlquWWrQyItdzUIdXtoaUqdOv2YI05aZAlRiSpq8F2TbD1ldL11u0BkjXm2tfMda0x55o5lQNvp0oakN6SE7LdDrUMiIZMhtutrplTvrgmLo1BnFR4MgViX/3qthkTE9qf70ybhkJPNebANXPKH4O4NAZxUn4MtAxIWxsmJihneqox1663EiXeatVwMohLYxAn5d5gyoBcc02Tt0tVEHorUeKtVg0ns1MlDbtMGaSZepRC516k6aqqtthkXgWjvS8r0Kkva9Mxc2mrqOi0b1siwYaLFuf8HKXBcCZOKmG93RIdioK7zrapGPS2Zi5TNwhpMLLNxIUQdgIuBmbGGA9KjZ0L7AS8DhwAXBBjfDrba1liRCpRmUp9ZJppswyISklvJUosT6I8+jBwO/C+tLHxwJkxxrYQwlzgB8Ansx3ImTipiA00+SDGkc60qbxZnkTDpC9r4kIIhwKXxxgP7GHb54FPxRg/n+04BR/EtbS0tiUS3X8RSZI0KHV18NvfwhNPdJ6pe/NN2HlnSCtPQiIBTz4Je+2V+/NUsRlwEBdCGA3cAXwtxvhstuMU/O3UNWssSaDyNdCZtmw9SOfPb3amTWVv1Kc+x6h/+AjNazZ12bItE2cf1nnN3Ekns2HyzvDmOm+3KqOpUycM6HmpAO464Nt9CeDA7FQp73rLEm2/pblixShaW0d0rGlr3z6YHqRmkErQuu9+PdaXg+SauXZd18w1zzmCikeXs+2tv2bc5Zcy8WtfpvKI2Uz46peG/ZxVmkIIY4B64IcxxuUhhGP68ryCv53qmjgVu0yzaZnWni1ZMnrAM23tRXXtjCANUIY1c3aDUCZ9yE6tAU4EDic583YF8EtgH+DV1G7j2jNXMzGIk4ZRtgQBkw+kwtVbeRLIXKLE263lzY4NaQziVOgGs24tUz22GTN6LvPhTJuUG5laevXWDQLMbi13BnFpDOJUCIaraK7JB1KR8naremHbLSnHMrWgypRgMJj2VGDygVS0KipoOvpztFQFmk46pdOmtilTus3ebTrpZFpnVLHd0Uex/eGzmHDayYy9bBHb/PomEssfYcSa1bk8e5UIZ+JUFgaaXJCLdWveEpWK00But3qrtfR5OzWNQZz6YriCNNetSRqQXm63ZrvValJE8TOIS2MQp3YDXZc2mCDNdWuSBqq37NZMma3O1BU/18SpLA3XurRsRXFdtyZpODTNnceGCy/pVp4kUyHhpmPm0lZR0Wn/tkSCDRctBnBNnTpxJk4FYTjXpWWbiXPdmqScypDZCs7UFTtvp6YxiCssmdaeDcZwrkszSJNUaDIVEs5Ugy7Tmrrx557perou8rHGMJdBXCL7LlJS12Co/ZYmDP72YV9uefYUqLUHXD0FafPnJ2+DJs9tU8Ygrba2xaBNUs40zZ3H5lmzuwVwAM0fn8OWKVMY2djIhrMXdAo22suXpM/UtZcvaZ5zBOMXLqDi0eWdjlfOs3Slfk2ciVOf9aVX53AdO9tsmjNpkkrJQGbqyjXzNdP7onVLzgsvOxOnjIbrlmY22WbLBqOubnCzac6kSSolA5mpyzRLB9lnpQo1yMt2XtneV6ZrUuyciSsy+Wx6PpwzceC6NEnqq95m6ga6nq51RlXGpIkR77yTMZDKFmhl2j7x5BMzPjdbMke295XpmgwHExvSDGcQl68ZrcEY7kAqk3wGkJKkrXrtFjGIzNdMwdDo+/8jYyCVLdDKtH3zoR8dVJCW7X1luyZDzTpxOZCp7lghG85bmtlYE02SCkPrvvv12O4rU09XyFyjLlPP12z16wazPdtzM51XX95XtmtSzMo2iMtWILZQZStMO9xqa1tYtmwjr766nmXLNhrASVKB6a3IMGxdTwd0y3yF3oOhbIHUYLYPOkjry/vKcE2KWdkGcfmc0RqMTN0DJEnqdZYOss5KZQqGsgVSg9k+2CAt2/vKeE2KWGFHLMMo3zNaA+UtTUnSYGSclcoQDGULpAazfbBBWtb3VaLKNrHBRfqSJHXXa9IEmevXDXZ7tudmOq9CYnZqmuHOTrWkhSRJfZMtkBrM9mIJ0rIp6SAuhPAx4GhgFdAWY7ww0/7WiZMkScWiZEuMhBDGAj8GvhFj/C6wXwhhdi7PQZIkqRTkOrHhYODvMcZ3Uo8fAI7M8TlIkiQVvVwHcTsA69Ier02NSZIkqR9yHcStAiakPZ6YGpMkSVI/5DqIexDYLYSwTerxh4C7M+wvSZKkHuQjO/XjwGeBN4HNZqdKkqRSUdIlRvrLIE6SJBWLki0xIkmSpKFhECdJklSEDOIkSZKKUMGviZMkSVJ3zsRJkiQVIYM4SZKkImQQJ0mSVIQM4iRJkoqQQZwkSVIRMoiTJEkqQol8n8BQCSHsBFwMzIwxHpQa2xa4HHgFmAFcGmNcmdr2AvBC6umvxBjnpcZ3BxYCfwN2B74ZY1wfQhgJLALWA7sB18cYH8rBWxs2PV2z1PixwGJgfozxrrTxjwFHA6uAtva+tyGEScClwHMkr/O3YoxvpLadDUwEKoHfxhjvyMV7Gy4DuGYPAU2ph60xxtmp8bK+ZiGEc4GdgNeBA4ALYoxPp7adAOwPtALPxhjrU+O7U8bfm1mu2Qv486ynazYX+DTwOHAQ8K8xxjtT2/yc9f+avUCZf84KTSnNxH0YuB1I71lWB7wYY1wM/Ai4Pm3bDTHGQ1P/zUsb/zFQn3rOX4BzU+PHAhNjjBenxv41hDBqmN5LrnS7ZiGEPYA3gZfSdwwhjCV5bb4RY/wusF8IYXZq8yLgP2OMlwK3kQycCSF8EJgVY1wIfAO4IoSw/bC+o+HX52uWcm/a52x22nhZXzNgPHBmjPH7wC3ADwBCCLsAZwFnxRjPAU4JIcxIPaesvzfp5Zql+POs52s2BjgvxngZye+5H4KfszR9vmYpfs4KTMkEcTHGm4F1XYaPBB5MbX8SmBlCmJjadkgI4ZwQwvdCCP8IEEKoAGYBj6T2eSB1jK7HWk1yduW9w/R2cqKnaxZjfD7G+Lsedj8Y+HuM8Z3U4x6vTZfxo9h6zTYDK4BDhuwN5EE/rxnAviGEc0MI3w0hHJk2Xu7XbGGMsb3S+EiSf6kDzAGWp217EDjC782M1wz8edbbNbshxvhi6uF7gKdSX/s5o9/XDPycFZySuZ3aix3o/AFdmxpbS/IvjYdTM0yPhhCOAjYAm9K+sdv3z3SscpHp/advWwtUhhASqfEVvTynXHw/9TkbBfwhhLAuxvgHvGYAhBBGA18AvpYa6u1zNgW/N4Eerxn486xXIYQxwHeBQ4H22SM/Zxn0cs3Az1nBKZmZuF6sAiakPZ6YGiPG+HDq340k7/1/CGgExoQQRnTdP9OxykSm95++bSKwJsbYkuU5ZSHtc9YK/DfJv1jBa9YejFwHfDvG+GxquLf37/cmvV4zf55lEGPcFGM8l2Qw8rvUzJGfswx6uWZ+zgpQqQdxd5O8DUgIYV/gzzHGtSGE2SGEw9P2ew/Jha2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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = puts.set_index('STRIKE_PRC')[['CF_CLOSE', 'IMP_VOLT']].plot(\n", + " secondary_y='IMP_VOLT', style=['bo', 'rv'], figsize=(10, 6))\n", + "ax.get_legend().set_bbox_to_anchor((0.25, 0.5));\n", + "# plt.savefig('../../images/ch21/dx_cal_02.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Model Calibration" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Relevant Market Data" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "limit = 500 " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "option_selection = calls[abs(calls['STRIKE_PRC'] - initial_value) < limit].copy() " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Int64Index: 20 entries, 43 to 81\n", + "Data columns (total 7 columns):\n", + "Instrument 20 non-null object\n", + "CF_DATE 20 non-null datetime64[ns]\n", + "EXPIR_DATE 20 non-null datetime64[ns]\n", + "PUTCALLIND 20 non-null object\n", + "STRIKE_PRC 20 non-null float64\n", + "CF_CLOSE 20 non-null float64\n", + "IMP_VOLT 20 non-null float64\n", + "dtypes: datetime64[ns](2), float64(3), object(2)\n", + "memory usage: 1.2+ KB\n" + ] + } + ], + "source": [ + "option_selection.info() " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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CF_DATEEXPIR_DATEPUTCALLINDSTRIKE_PRCCF_CLOSEIMP_VOLT
Instrument
GDAX128000G8.EX2018-04-272018-07-20CALL12800.0182.412.70
GDAX128500G8.EX2018-04-272018-07-20CALL12850.0162.012.52
GDAX129000G8.EX2018-04-252018-07-20CALL12900.0142.912.36
GDAX129500G8.EX2018-04-272018-07-20CALL12950.0125.412.21
GDAX130000G8.EX2018-04-272018-07-20CALL13000.0109.412.06
\n", + "
" + ], + "text/plain": [ + " CF_DATE EXPIR_DATE PUTCALLIND STRIKE_PRC CF_CLOSE \\\n", + "Instrument \n", + "GDAX128000G8.EX 2018-04-27 2018-07-20 CALL 12800.0 182.4 \n", + "GDAX128500G8.EX 2018-04-27 2018-07-20 CALL 12850.0 162.0 \n", + "GDAX129000G8.EX 2018-04-25 2018-07-20 CALL 12900.0 142.9 \n", + "GDAX129500G8.EX 2018-04-27 2018-07-20 CALL 12950.0 125.4 \n", + "GDAX130000G8.EX 2018-04-27 2018-07-20 CALL 13000.0 109.4 \n", + "\n", + " IMP_VOLT \n", + "Instrument \n", + "GDAX128000G8.EX 12.70 \n", + "GDAX128500G8.EX 12.52 \n", + "GDAX129000G8.EX 12.36 \n", + "GDAX129500G8.EX 12.21 \n", + "GDAX130000G8.EX 12.06 " + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "option_selection.set_index('Instrument').tail() " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "option_selection.set_index('STRIKE_PRC')[['CF_CLOSE', 'IMP_VOLT']].plot(\n", + " secondary_y='IMP_VOLT', style=['bo', 'rv'], figsize=(10, 6));\n", + "# plt.savefig('../../images/ch21/dx_cal_03.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Option Modeling" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "uuid": "b2f6b10c-bf01-46f6-958a-e0e6266adbe8" + }, + "outputs": [], + "source": [ + "import dx" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "uuid": "c93f5398-8620-48d1-9c6b-ae0c79653751" + }, + "outputs": [], + "source": [ + "pricing_date = option_selection['CF_DATE'].max() " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "uuid": "c191a3e9-286e-4c84-8044-aaf05f88377b" + }, + "outputs": [], + "source": [ + "me_dax = dx.market_environment('DAX30', pricing_date) " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "maturity = pd.Timestamp(calls.iloc[0]['EXPIR_DATE']) " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "uuid": "52879659-97e7-4c0f-a14f-b29bea60b3c8" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('initial_value', initial_value) \n", + "me_dax.add_constant('final_date', maturity) \n", + "me_dax.add_constant('currency', 'EUR') " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "uuid": "f1862ff5-ef88-4364-beba-502872ac5450" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('frequency', 'B') \n", + "me_dax.add_constant('paths', 10000) " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "uuid": "f0aedd9b-a2c9-4713-a02d-cc5a8959408e" + }, + "outputs": [], + "source": [ + "csr = dx.constant_short_rate('csr', 0.01) \n", + "me_dax.add_curve('discount_curve', csr) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "uuid": "11c8a827-c54c-451a-93c3-9f8db6df970c" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('volatility', 0.2)\n", + "me_dax.add_constant('lambda', 0.8)\n", + "me_dax.add_constant('mu', -0.2)\n", + "me_dax.add_constant('delta', 0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "uuid": "fd70a940-895e-43a4-a66c-d2c3bcc7c285" + }, + "outputs": [], + "source": [ + "dax_model = dx.jump_diffusion('dax_model', me_dax)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "uuid": "fe6d0c61-4907-4466-98ae-3ca782f83964" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('strike', initial_value) \n", + "me_dax.add_constant('maturity', maturity)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "uuid": "8e36b826-9439-49f2-b4fa-e35928b8df41" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(maturity_value - strike, 0)' " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "uuid": "d33efcec-e027-4b1a-8fa1-c13696779de3" + }, + "outputs": [], + "source": [ + "dax_eur_call = dx.valuation_mcs_european('dax_eur_call',\n", + " dax_model, me_dax, payoff_func) " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "uuid": "cedcee4e-1135-4b38-9381-d74b306de63e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "639.006321" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dax_eur_call.present_value() " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "uuid": "a4a9ab6f-0810-403f-b172-d08deb80c582" + }, + "outputs": [], + "source": [ + "option_models = {} \n", + "for option in option_selection.index:\n", + " strike = option_selection['STRIKE_PRC'].loc[option] \n", + " me_dax.add_constant('strike', strike) \n", + " option_models[strike] = dx.valuation_mcs_european(\n", + " 'eur_call_%d' % strike,\n", + " dax_model,\n", + " me_dax,\n", + " payoff_func)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "uuid": "89ec1029-091b-4ab1-8d60-b7a604c02f69" + }, + "outputs": [], + "source": [ + "def calculate_model_values_old(p0):\n", + " ''' Returns all relevant option values.\n", + " \n", + " Parameters\n", + " ===========\n", + " p0: tuple/list\n", + " tuple of kappa, theta, volatility\n", + " \n", + " Returns\n", + " =======\n", + " model_values: dict\n", + " dictionary with model values\n", + " '''\n", + " volatility, lamb, mu, delta = p0\n", + " dax_model.update(volatility=volatility, lamb=lamb, mu=mu, delta=delta)\n", + " model_values = {}\n", + " for strike in option_models:\n", + " model_values[strike] = option_models[strike].present_value(fixed_seed=True)\n", + " return model_values" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "uuid": "89ec1029-091b-4ab1-8d60-b7a604c02f69" + }, + "outputs": [], + "source": [ + "def calculate_model_values(p0):\n", + " ''' Returns all relevant option values.\n", + " \n", + " Parameters\n", + " ===========\n", + " p0: tuple/list\n", + " tuple of kappa, theta, volatility\n", + " \n", + " Returns\n", + " =======\n", + " model_values: dict\n", + " dictionary with model values\n", + " '''\n", + " volatility, lamb, mu, delta = p0\n", + " dax_model.update(volatility=volatility, lamb=lamb,\n", + " mu=mu, delta=delta)\n", + " return {\n", + " strike: model.present_value(fixed_seed=True)\n", + " for strike, model in option_models.items()\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "uuid": "d16e0a95-8543-4b08-b056-3d4f83d05e51" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{12050.0: 611.222524,\n", + " 12100.0: 571.83659,\n", + " 12150.0: 533.595853,\n", + " 12200.0: 496.607225,\n", + " 12250.0: 460.863233,\n", + " 12300.0: 426.543355,\n", + " 12350.0: 393.626483,\n", + " 12400.0: 362.066869,\n", + " 12450.0: 331.877733,\n", + " 12500.0: 303.133596,\n", + " 12550.0: 275.987049,\n", + " 12600.0: 250.504646,\n", + " 12650.0: 226.687523,\n", + " 12700.0: 204.550609,\n", + " 12750.0: 184.020514,\n", + " 12800.0: 164.945082,\n", + " 12850.0: 147.249829,\n", + " 12900.0: 130.831722,\n", + " 12950.0: 115.681449,\n", + " 13000.0: 101.917351}" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "calculate_model_values((0.1, 0.1, -0.4, 0.0))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Calibration Procedure" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "uuid": "6d94c077-ebf9-46e3-8185-d4c80d12116d" + }, + "outputs": [], + "source": [ + "i = 0\n", + "def mean_squared_error(p0):\n", + " ''' Returns the mean-squared error given\n", + " the model and market values.\n", + " \n", + " Parameters\n", + " ===========\n", + " p0: tuple/list\n", + " tuple of kappa, theta, volatility\n", + " \n", + " Returns\n", + " =======\n", + " MSE: float\n", + " mean-squared error\n", + " '''\n", + " global i\n", + " model_values = np.array(list(calculate_model_values(p0).values())) \n", + " market_values = option_selection['CF_CLOSE'].values \n", + " option_diffs = model_values - market_values \n", + " MSE = np.sum(option_diffs ** 2) / len(option_diffs) \n", + " if i % 75 == 0:\n", + " if i == 0:\n", + " print('%4s %6s %6s %6s %6s --> %6s' % \n", + " ('i', 'vola', 'lambda', 'mu', 'delta', 'MSE'))\n", + " print('%4d %6.3f %6.3f %6.3f %6.3f --> %6.3f' % \n", + " (i, p0[0], p0[1], p0[2], p0[3], MSE))\n", + " i += 1\n", + " return MSE " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "uuid": "489f4f60-5237-4eff-be12-19abc6583ecb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " i vola lambda mu delta --> MSE\n", + " 0 0.100 0.100 -0.400 0.000 --> 728.375\n" + ] + }, + { + "data": { + "text/plain": [ + "728.3752973715275" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean_squared_error((0.1, 0.1, -0.4, 0.0)) " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "uuid": "d4d06a9e-929b-4a02-95c1-433529015988" + }, + "outputs": [], + "source": [ + "import scipy.optimize as spo" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "uuid": "15b93990-3228-4330-b5df-10915827ebcc" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " i vola lambda mu delta --> MSE\n", + " 0 0.100 0.100 -0.400 0.000 --> 728.375\n", + " 75 0.100 0.300 -0.400 0.080 --> 5157.513\n", + " 150 0.100 0.500 -0.300 0.040 --> 12199.386\n", + " 225 0.100 0.700 -0.200 0.000 --> 6904.932\n", + " 300 0.125 0.200 -0.200 0.100 --> 855.412\n", + " 375 0.125 0.400 -0.100 0.060 --> 621.800\n", + " 450 0.125 0.600 0.000 0.020 --> 544.137\n", + " 525 0.150 0.100 0.000 0.120 --> 3410.776\n", + " 600 0.150 0.400 -0.400 0.080 --> 46775.769\n", + " 675 0.150 0.600 -0.300 0.040 --> 56331.321\n", + " 750 0.175 0.100 -0.200 0.000 --> 14562.213\n", + " 825 0.175 0.300 -0.200 0.100 --> 24599.738\n", + " 900 0.175 0.500 -0.100 0.060 --> 19183.167\n", + " 975 0.175 0.700 0.000 0.020 --> 11871.683\n", + "1050 0.200 0.200 0.000 0.120 --> 31736.403\n", + "1125 0.200 0.500 -0.400 0.080 --> 130372.718\n", + "1200 0.200 0.700 -0.300 0.040 --> 126365.140\n", + "CPU times: user 1min 20s, sys: 1.84 s, total: 1min 21s\n", + "Wall time: 1min 22s\n" + ] + } + ], + "source": [ + "%%time\n", + "i = 0\n", + "opt_global = spo.brute(mean_squared_error,\n", + " ((0.10, 0.201, 0.025), # range for volatility\n", + " (0.10, 0.80, 0.10), # range for jump intensity\n", + " (-0.40, 0.01, 0.10), # range for average jump size\n", + " (0.00, 0.121, 0.02)), # range for jump variability\n", + " finish=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "uuid": "359c3f5f-4f47-4e53-a916-85d3c745ed1b" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "17.946670038040985" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean_squared_error(opt_global)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "uuid": "9fd46baf-28af-4276-a1c1-b3e521550cdd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " i vola lambda mu delta --> MSE\n", + " 0 0.100 0.200 -0.300 0.000 --> 17.947\n", + " 75 0.098 0.216 -0.302 -0.001 --> 7.885\n", + " 150 0.098 0.216 -0.300 -0.001 --> 7.371\n", + "Optimization terminated successfully.\n", + " Current function value: 7.371163\n", + " Iterations: 100\n", + " Function evaluations: 188\n", + "CPU times: user 12.2 s, sys: 288 ms, total: 12.5 s\n", + "Wall time: 12.5 s\n" + ] + } + ], + "source": [ + "%%time\n", + "i = 0\n", + "opt_local = spo.fmin(mean_squared_error, opt_global,\n", + " xtol=0.00001, ftol=0.00001,\n", + " maxiter=200, maxfun=550)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "uuid": "d7c22ea7-b3dd-4408-9ef2-3a986354ba26" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " i vola lambda mu delta --> MSE\n", + " 0 0.098 0.216 -0.300 -0.001 --> 7.371\n" + ] + }, + { + "data": { + "text/plain": [ + "7.371162645265256" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i = 0\n", + "mean_squared_error(opt_local) " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "uuid": "70b888ee-8d31-46b2-86be-ad95dedd347a" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{12050.0: 647.428189,\n", + " 12100.0: 607.402796,\n", + " 12150.0: 568.46137,\n", + " 12200.0: 530.703659,\n", + " 12250.0: 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(option_selection['ERRORS_EUR'] /\n", + " option_selection['CF_CLOSE']) * 100" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "uuid": "716cd81a-0e06-405c-ade7-7fa407ce19cb" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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MODELCF_CLOSEERRORS_EURERRORS_%
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45607.402796604.43.0027960.496823
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63302.117223304.8-2.682777-0.880176
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67249.501807251.7-2.198193-0.873338
69225.678695227.3-1.621305-0.713289
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" + ], + "text/plain": [ + " MODEL CF_CLOSE ERRORS_EUR ERRORS_%\n", + "43 647.428189 642.6 4.828189 0.751352\n", + "45 607.402796 604.4 3.002796 0.496823\n", + "47 568.461370 567.1 1.361370 0.240058\n", + "49 530.703659 530.4 0.303659 0.057251\n", + "51 494.093839 494.8 -0.706161 -0.142716\n", + "53 458.718401 460.3 -1.581599 -0.343602\n", + "55 424.650128 426.8 -2.149872 -0.503719\n", + "57 392.023241 394.4 -2.376759 -0.602627\n", + "59 360.728543 363.3 -2.571457 -0.707805\n", + "61 330.727256 333.3 -2.572744 -0.771900\n", + "63 302.117223 304.8 -2.682777 -0.880176\n", + "65 274.984740 277.5 -2.515260 -0.906400\n", + "67 249.501807 251.7 -2.198193 -0.873338\n", + "69 225.678695 227.3 -1.621305 -0.713289\n", + "71 203.490065 204.1 -0.609935 -0.298841\n", + "73 182.947468 182.4 0.547468 0.300147\n", + "75 163.907583 162.0 1.907583 1.177520\n", + "77 146.259349 142.9 3.359349 2.350839\n", + "79 129.909743 125.4 4.509743 3.596286\n", + "81 114.852425 109.4 5.452425 4.983935" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "option_selection[['MODEL', 'CF_CLOSE', 'ERRORS_EUR', 'ERRORS_%']]" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "uuid": "91c24e54-e18a-4cfe-88b2-82ef82947b9c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.184" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(option_selection['ERRORS_EUR'].mean(), 3) " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "uuid": "91c24e54-e18a-4cfe-88b2-82ef82947b9c" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.36" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "round(option_selection['ERRORS_%'].mean(), 3) " + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "uuid": "9d2912c2-9ab3-4423-95d5-984df6f9f31e" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fix, (ax1, ax2, ax3) = plt.subplots(3, sharex=True, figsize=(10, 10))\n", + "strikes = option_selection['STRIKE_PRC'].values\n", + "ax1.plot(strikes, option_selection['CF_CLOSE'], label='market quotes')\n", + "ax1.plot(strikes, option_selection['MODEL'], 'ro', label='model values')\n", + "ax1.set_ylabel('option values')\n", + "ax1.legend(loc=0)\n", + "wi = 15\n", + "ax2.bar(strikes - wi / 2., option_selection['ERRORS_EUR'], width=wi)\n", + "ax2.set_ylabel('errors [EUR]')\n", + "ax3.bar(strikes - wi / 2., option_selection['ERRORS_%'], width=wi)\n", + "ax3.set_ylabel('errors [%]')\n", + "ax3.set_xlabel('strikes');\n", + "# plt.savefig('../../images/ch21/dx_cal_04.png');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Market-Based Valuation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Modeling Option Positions" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "uuid": "40decf0f-1908-48e8-b5c3-0fa5b667575c" + }, + "outputs": [], + "source": [ + "me_dax = dx.market_environment('me_dax', pricing_date)\n", + "me_dax.add_constant('initial_value', initial_value)\n", + "me_dax.add_constant('final_date', pricing_date)\n", + "me_dax.add_constant('currency', 'EUR')" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "uuid": "88c93f7b-7944-4724-8b7d-a8f9d231d926" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('volatility', opt_local[0]) \n", + "me_dax.add_constant('lambda', opt_local[1]) \n", + "me_dax.add_constant('mu', opt_local[2]) \n", + "me_dax.add_constant('delta', opt_local[3]) " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "uuid": "8d92c037-79db-4663-9ad4-863dc720d160" + }, + "outputs": [], + "source": [ + "me_dax.add_constant('model', 'jd')" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "uuid": "ee26163e-cfc2-4bd4-99ef-d9d877dc9592" + }, + "outputs": [], + "source": [ + "payoff_func = 'np.maximum(strike - instrument_values, 0)'" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "uuid": "f4882acb-2157-4073-b2e7-b9c79a428a2c" + }, + "outputs": [], + "source": [ + "shared = dx.market_environment('share', pricing_date) \n", + "shared.add_constant('maturity', maturity) \n", + "shared.add_constant('currency', 'EUR') " + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "uuid": "e48619d3-c12d-4387-bc0d-51dccd00d19e" + }, + "outputs": [], + "source": [ + "option_positions = {}\n", + "option_environments = {}\n", + "for option in option_selection.index:\n", + " option_environments[option] = dx.market_environment(\n", + " 'am_put_%d' % option, pricing_date) \n", + " strike = option_selection['STRIKE_PRC'].loc[option] \n", + " option_environments[option].add_constant('strike', strike) \n", + " option_environments[option].add_environment(shared) \n", + " option_positions['am_put_%d' % strike] = \\\n", + " dx.derivatives_position(\n", + " 'am_put_%d' % strike,\n", + " quantity=np.random.randint(10, 50),\n", + " underlying='dax_model',\n", + " mar_env=option_environments[option],\n", + " otype='American',\n", + " payoff_func=payoff_func) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Options Portfolio" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "uuid": "f885f822-7d78-4841-99c5-f30f1bf23ebb" + }, + "outputs": [], + "source": [ + "val_env = dx.market_environment('val_env', pricing_date)\n", + "val_env.add_constant('starting_date', pricing_date)\n", + "val_env.add_constant('final_date', pricing_date) \n", + "val_env.add_curve('discount_curve', csr)\n", + "val_env.add_constant('frequency', 'B')\n", + "val_env.add_constant('paths', 25000)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "uuid": "d9a3a473-3cfb-49ab-be94-848349683a9a" + }, + "outputs": [], + "source": [ + "underlyings = {'dax_model' : me_dax} " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "uuid": "590ae8ed-39b9-42a3-84f2-35b2b400d8b8" + }, + "outputs": [], + "source": [ + "portfolio = dx.derivatives_portfolio('portfolio', option_positions,\n", + " val_env, underlyings) " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "uuid": "11539da8-35b0-4daf-94ee-52aae7d9fca8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2min 6s, sys: 981 ms, total: 2min 7s\n", + "Wall time: 32 s\n" + ] + } + ], + "source": [ + "%time results = portfolio.get_statistics(fixed_seed=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "uuid": "883fa311-3410-4572-a8d1-a526e2914f69" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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namequant.valuecurr.pos_valuepos_deltapos_vega
0am_put_1205033151.6EUR5002.8-4.738206.9
1am_put_1210038161.5EUR6138.4-5.751365.2
2am_put_1215020171.3EUR3426.8-3.327894.5
3am_put_1220012183.9EUR2206.6-2.218479.7
4am_put_1225037197.4EUR7302.8-7.359423.5
5am_put_1230037212.3EUR7853.9-8.265911.9
6am_put_1235036228.4EUR8224.1-9.070969.4
7am_put_1240016244.3EUR3908.4-4.332871.4
8am_put_1245017262.7EUR4465.6-5.137451.2
9am_put_1250016283.4EUR4534.8-5.236158.2
10am_put_1255038305.3EUR11602.3-13.386869.9
11am_put_1260010330.4EUR3303.9-3.922144.5
12am_put_1265038355.5EUR13508.3-16.089124.8
13am_put_1270040384.2EUR15367.5-18.690871.2
14am_put_1275013413.5EUR5375.7-6.528626.0
15am_put_1280049445.0EUR21806.6-26.3105287.3
16am_put_1285030477.4EUR14321.8-17.060757.2
17am_put_1290033510.3EUR16840.1-19.769163.6
18am_put_1295040544.4EUR21777.0-24.980472.3
19am_put_1300035582.3EUR20378.9-22.966522.6
\n", + "
" + ], + "text/plain": [ + " name quant. value curr. pos_value pos_delta pos_vega\n", + "0 am_put_12050 33 151.6 EUR 5002.8 -4.7 38206.9\n", + "1 am_put_12100 38 161.5 EUR 6138.4 -5.7 51365.2\n", + "2 am_put_12150 20 171.3 EUR 3426.8 -3.3 27894.5\n", + "3 am_put_12200 12 183.9 EUR 2206.6 -2.2 18479.7\n", + "4 am_put_12250 37 197.4 EUR 7302.8 -7.3 59423.5\n", + "5 am_put_12300 37 212.3 EUR 7853.9 -8.2 65911.9\n", + "6 am_put_12350 36 228.4 EUR 8224.1 -9.0 70969.4\n", + "7 am_put_12400 16 244.3 EUR 3908.4 -4.3 32871.4\n", + "8 am_put_12450 17 262.7 EUR 4465.6 -5.1 37451.2\n", + "9 am_put_12500 16 283.4 EUR 4534.8 -5.2 36158.2\n", + "10 am_put_12550 38 305.3 EUR 11602.3 -13.3 86869.9\n", + "11 am_put_12600 10 330.4 EUR 3303.9 -3.9 22144.5\n", + "12 am_put_12650 38 355.5 EUR 13508.3 -16.0 89124.8\n", + "13 am_put_12700 40 384.2 EUR 15367.5 -18.6 90871.2\n", + "14 am_put_12750 13 413.5 EUR 5375.7 -6.5 28626.0\n", + "15 am_put_12800 49 445.0 EUR 21806.6 -26.3 105287.3\n", + "16 am_put_12850 30 477.4 EUR 14321.8 -17.0 60757.2\n", + "17 am_put_12900 33 510.3 EUR 16840.1 -19.7 69163.6\n", + "18 am_put_12950 40 544.4 EUR 21777.0 -24.9 80472.3\n", + "19 am_put_13000 35 582.3 EUR 20378.9 -22.9 66522.6" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.round(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "uuid": "8ceae186-64e2-405d-8563-b6349c0f13b2" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "pos_value 197346.2\n", + "pos_delta -224.0\n", + "pos_vega 1138571.1\n", + "dtype: float64" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results[['pos_value','pos_delta','pos_vega']].sum().round(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"The
\n", + "\n", + "http://tpq.io | @dyjh | training@tpq.io" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.6.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/images/placeholder.txt b/images/placeholder.txt new file mode 100644 index 0000000..286298e --- /dev/null +++ b/images/placeholder.txt @@ -0,0 +1 @@ +This is a placeholder file for the images folder if you want to save images here. \ No newline at end of file diff --git a/py4fi2nd.yml b/py4fi2nd.yml new file mode 100644 index 0000000..6732fba --- /dev/null +++ b/py4fi2nd.yml @@ -0,0 +1,169 @@ +name: py4fi2nd +channels: + - defaults +dependencies: + - _tflow_select=2.3.0 + - absl-py=0.6.1 + - appnope=0.1.0 + - astor=0.7.1 + - backcall=0.1.0 + - blas=1.0 + - bleach=3.0.2 + - blosc=1.14.4 + - bzip2=1.0.6 + - c-ares=1.15.0 + - ca-certificates=2018.03.07 + - cctools=895 + - certifi=2018.10.15 + - clang=4.0.1 + - clang_osx-64=4.0.1 + - clangxx=4.0.1 + - clangxx_osx-64=4.0.1 + - compiler-rt=4.0.1 + - cycler=0.10.0 + - cython=0.29 + - dbus=1.13.2 + - decorator=4.3.0 + - entrypoints=0.2.3 + - et_xmlfile=1.0.1 + - expat=2.2.6 + - fastcache=1.0.2 + - freetype=2.9.1 + - gast=0.2.0 + - gettext=0.19.8.1 + - glib=2.56.2 + - gmp=6.1.2 + - gmpy2=2.0.8 + - grpcio=1.16.1 + - h5py=2.8.0 + - hdf5=1.10.2 + - icu=58.2 + - intel-openmp=2019.1 + - ipykernel=5.1.0 + - ipython=7.2.0 + - ipython_genutils=0.2.0 + - ipywidgets=7.4.2 + - jdcal=1.4 + - jedi=0.13.1 + - jinja2=2.10 + - joblib=0.13.0 + - jpeg=9b + - jsonschema=2.6.0 + - jupyter=1.0.0 + - jupyter_client=5.2.3 + - jupyter_console=6.0.0 + - jupyter_core=4.4.0 + - keras-applications=1.0.6 + - keras-preprocessing=1.0.5 + - kiwisolver=1.0.1 + - ld64=274.2 + - libcxx=4.0.1 + - libcxxabi=4.0.1 + - libedit=3.1.20170329 + - libffi=3.2.1 + - libgfortran=3.0.1 + - libiconv=1.15 + - libpng=1.6.35 + - libprotobuf=3.6.1 + - libsodium=1.0.16 + - llvm=4.0.1 + - llvm-lto-tapi=4.0.1 + - llvmlite=0.26.0 + - lzo=2.10 + - markdown=3.0.1 + - markupsafe=1.1.0 + - matplotlib=3.0.1 + - mistune=0.8.4 + - mkl=2018.0.3 + - mkl-service=1.1.2 + - mkl_fft=1.0.6 + - mkl_random=1.0.1 + - mpc=1.1.0 + - mpfr=4.0.1 + - mpmath=1.0.0 + - nbconvert=5.3.1 + - nbformat=4.4.0 + - ncurses=6.1 + - notebook=5.7.2 + - numba=0.41.0 + - numexpr=2.6.8 + - numpy=1.15.4 + - numpy-base=1.15.4 + - openpyxl=2.5.11 + - openssl=1.1.1a + - pandas=0.23.4 + - pandoc=2.2.3.2 + - pandocfilters=1.4.2 + - parso=0.3.1 + - patsy=0.5.1 + - pcre=8.42 + - pexpect=4.6.0 + - pickleshare=0.7.5 + - pip=18.1 + - prometheus_client=0.4.2 + - prompt_toolkit=2.0.7 + - protobuf=3.6.1 + - ptyprocess=0.6.0 + - pygments=2.2.0 + - pymc3=3.5 + - pyparsing=2.3.0 + - pyqt=5.9.2 + - pytables=3.4.4 + - python=3.6.7 + - python-dateutil=2.7.5 + - pytz=2018.7 + - pyzmq=17.1.2 + - qt=5.9.6 + - qtconsole=4.4.2 + - readline=7.0 + - scikit-learn=0.20.1 + - scipy=1.1.0 + - send2trash=1.5.0 + - setuptools=40.6.2 + - sip=4.19.8 + - six=1.11.0 + - snappy=1.1.7 + - sqlite=3.25.3 + - statsmodels=0.9.0 + - sympy=1.3 + - tensorboard=1.12.0 + - tensorflow-base=1.12.0 + - termcolor=1.1.0 + - terminado=0.8.1 + - testpath=0.4.2 + - theano=1.0.3 + - tk=8.6.8 + - tornado=5.1.1 + - tqdm=4.28.1 + - traitlets=4.3.2 + - wcwidth=0.1.7 + - webencodings=0.5.1 + - werkzeug=0.14.1 + - wheel=0.32.3 + - widgetsnbextension=3.4.2 + - xlrd=1.1.0 + - xz=5.2.4 + - zeromq=4.2.5 + - zlib=1.2.11 + - pip: + - chardet==3.0.4 + - colorlover==0.2.1 + - configparser==3.5.0 + - cufflinks==0.14.6 + - fxcmpy==1.1.34 + - idna==2.7 + - nose==1.3.7 + - pkginfo==1.4.2 + - plotly==3.4.2 + - pysocks==1.6.8 + - requests==2.20.1 + - requests-toolbelt==0.8.0 + - retrying==1.3.3 + - socketio-client==0.7.2 + - tables==3.4.4 + - tensorflow==1.12.0 + - tstables==0.0.15 + - urllib3==1.24.1 + - websocket-client==0.54.0 +prefix: /Users/yves/miniconda3/envs/py4fi2nd + diff --git a/source/fxcm_eur_usd_eod_data.csv b/source/fxcm_eur_usd_eod_data.csv new file mode 100644 index 0000000..4255845 --- /dev/null +++ b/source/fxcm_eur_usd_eod_data.csv @@ -0,0 +1,1548 @@ +,BidOpen,BidHigh,BidLow,BidClose,AskOpen,AskHigh,AskLow,AskClose +2013-01-01 22:00:00,1.3184799999999999,1.32935,1.3156299999999999,1.3185,1.31853,1.3294,1.31571,1.3186 +2013-01-02 22:00:00,1.3185,1.31903,1.3046799999999998,1.30483,1.3186,1.3191,1.30471,1.30501 +2013-01-03 22:00:00,1.30483,1.30897,1.29974,1.30679,1.30501,1.30898,1.29978,1.30697 +2013-01-06 22:00:00,1.30679,1.3119399999999999,1.30168,1.31159,1.30697,1.31196,1.30168,1.31166 +2013-01-07 22:00:00,1.31159,1.31398,1.3056299999999998,1.30805,1.31166,1.314,1.30565,1.30815 +2013-01-08 22:00:00,1.30805,1.3096,1.30369,1.30634,1.30815,1.30962,1.30368,1.30639 +2013-01-09 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+4,GDAX108000S8.EX,2018-04-26,2018-07-20,PUT ,10800.0,43.8,22.02 +5,GDAX110000G8.EX,2018-04-27,2018-07-20,CALL,11000.0,1562.8,21.0 +6,GDAX110000S8.EX,2018-04-27,2018-07-20,PUT ,11000.0,54.5,21.0 +7,GDAX111500G8.EX,2018-04-27,2018-07-20,CALL,11150.0,1422.5,20.24 +8,GDAX111500S8.EX,2018-04-27,2018-07-20,PUT ,11150.0,64.3,20.25 +9,GDAX112000G8.EX,2018-04-27,2018-07-20,CALL,11200.0,1376.1,19.99 +10,GDAX112000S8.EX,2018-04-26,2018-07-20,PUT ,11200.0,67.9,20.0 +11,GDAX112500G8.EX,2018-04-27,2018-07-20,CALL,11250.0,1330.2,19.75 +12,GDAX112500S8.EX,2018-04-27,2018-07-20,PUT ,11250.0,72.0,19.76 +13,GDAX113000G8.EX,2018-04-27,2018-07-20,CALL,11300.0,1284.2,19.51 +14,GDAX113000S8.EX,2018-04-27,2018-07-20,PUT ,11300.0,76.2,19.51 +15,GDAX113500G8.EX,2018-04-27,2018-07-20,CALL,11350.0,1238.8,19.27 +16,GDAX113500S8.EX,2018-04-26,2018-07-20,PUT ,11350.0,80.7,19.27 +17,GDAX114000G8.EX,2018-04-25,2018-07-20,CALL,11400.0,1193.4,19.03 +18,GDAX114000S8.EX,2018-04-27,2018-07-20,PUT ,11400.0,85.5,19.05 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+61,GDAX125000G8.EX,2018-04-27,2018-07-20,CALL,12500.0,333.3,13.97 +62,GDAX125000S8.EX,2018-04-27,2018-07-20,PUT ,12500.0,326.5,13.98 +63,GDAX125500G8.EX,2018-04-27,2018-07-20,CALL,12550.0,304.8,13.75 +64,GDAX125500S8.EX,2018-04-27,2018-07-20,PUT ,12550.0,348.1,13.78 +65,GDAX126000G8.EX,2018-04-27,2018-07-20,CALL,12600.0,277.5,13.55 +66,GDAX126000S8.EX,2018-04-27,2018-07-20,PUT ,12600.0,370.9,13.55 +67,GDAX126500G8.EX,2018-04-27,2018-07-20,CALL,12650.0,251.7,13.33 +68,GDAX126500S8.EX,2018-04-24,2018-07-20,PUT ,12650.0,395.1,13.34 +69,GDAX127000G8.EX,2018-04-26,2018-07-20,CALL,12700.0,227.3,13.12 +70,GDAX127000S8.EX,2018-04-27,2018-07-20,PUT ,12700.0,420.7,13.13 +71,GDAX127500G8.EX,2018-04-27,2018-07-20,CALL,12750.0,204.1,12.91 +72,GDAX127500S8.EX,2018-04-27,2018-07-20,PUT ,12750.0,447.6,12.92 +73,GDAX128000G8.EX,2018-04-27,2018-07-20,CALL,12800.0,182.4,12.7 +74,GDAX128000S8.EX,2018-04-27,2018-07-20,PUT ,12800.0,476.0,12.71 +75,GDAX128500G8.EX,2018-04-27,2018-07-20,CALL,12850.0,162.0,12.52 +76,GDAX128500S8.EX,2018-04-27,2018-07-20,PUT ,12850.0,505.6,12.53 +77,GDAX129000G8.EX,2018-04-25,2018-07-20,CALL,12900.0,142.9,12.36 +78,GDAX129000S8.EX,2018-04-23,2018-07-20,PUT ,12900.0,536.8,12.37 +79,GDAX129500G8.EX,2018-04-27,2018-07-20,CALL,12950.0,125.4,12.21 +80,GDAX129500S8.EX,2018-04-27,2018-07-20,PUT ,12950.0,569.1,12.22 +81,GDAX130000G8.EX,2018-04-27,2018-07-20,CALL,13000.0,109.4,12.06 +82,GDAX130000S8.EX,2018-04-27,2018-07-20,PUT ,13000.0,602.9,12.07 +83,GDAX130500G8.EX,2018-04-27,2018-07-20,CALL,13050.0,94.8,11.92 +84,GDAX130500S8.EX,2018-04-23,2018-07-20,PUT ,13050.0,638.6,11.93 +85,GDAX131000G8.EX,2018-04-27,2018-07-20,CALL,13100.0,82.2,11.78 +86,GDAX131000S8.EX,2018-04-27,2018-07-20,PUT ,13100.0,676.1,11.8 +87,GDAX131500G8.EX,2018-04-24,2018-07-20,CALL,13150.0,71.3,11.66 +88,GDAX131500S8.EX,2018-04-27,2018-07-20,PUT ,13150.0,715.2,11.68 +89,GDAX132000G8.EX,2018-04-26,2018-07-20,CALL,13200.0,61.7,11.55 +90,GDAX132000S8.EX,2018-04-27,2018-07-20,PUT ,13200.0,755.6,11.56 +91,GDAX132500G8.EX,2018-04-26,2018-07-20,CALL,13250.0,53.3,11.44 +92,GDAX132500S8.EX,2018-04-25,2018-07-20,PUT ,13250.0,797.3,11.46 +93,GDAX133000G8.EX,2018-04-27,2018-07-20,CALL,13300.0,46.0,11.35 +94,GDAX133000S8.EX,2018-04-25,2018-07-20,PUT ,13300.0,840.1,11.37 +95,GDAX133500G8.EX,2018-04-27,2018-07-20,CALL,13350.0,39.5,11.27 +96,GDAX133500S8.EX,2018-04-27,2018-07-20,PUT ,13350.0,883.7,11.3 +97,GDAX134000G8.EX,2018-04-27,2018-07-20,CALL,13400.0,34.0,11.18 +98,GDAX134000S8.EX,2018-04-27,2018-07-20,PUT ,13400.0,928.2,11.21 +99,GDAX134500G8.EX,2018-04-26,2018-07-20,CALL,13450.0,29.0,11.13 +100,GDAX134500S8.EX,2018-04-27,2018-07-20,PUT ,13450.0,973.2,11.16 +101,GDAX135000G8.EX,2018-04-27,2018-07-20,CALL,13500.0,24.7,11.09 +102,GDAX135000S8.EX,2018-04-27,2018-07-20,PUT ,13500.0,1018.9,11.13 +103,GDAX135500G8.EX,2018-04-27,2018-07-20,CALL,13550.0,20.9,11.09 +104,GDAX135500S8.EX,2018-04-27,2018-07-20,PUT ,13550.0,1065.2,11.11 +105,GDAX136000G8.EX,2018-04-26,2018-07-20,CALL,13600.0,17.7,11.07 +106,GDAX136000S8.EX,2018-04-27,2018-07-20,PUT ,13600.0,1112.1,11.12 +107,GDAX136500G8.EX,2018-04-27,2018-07-20,CALL,13650.0,15.0,11.1 +108,GDAX136500S8.EX,2018-04-27,2018-07-20,PUT ,13650.0,1159.4,11.14 +109,GDAX137000G8.EX,2018-04-27,2018-07-20,CALL,13700.0,12.7,11.12 +110,GDAX137000S8.EX,2018-04-27,2018-07-20,PUT ,13700.0,1207.1,11.17 +111,GDAX137500G8.EX,2018-04-27,2018-07-20,CALL,13750.0,10.7,11.17 +112,GDAX137500S8.EX,2018-04-27,2018-07-20,PUT ,13750.0,1255.2,11.22 +113,GDAX138000G8.EX,2018-04-27,2018-07-20,CALL,13800.0,9.1,11.23 +114,GDAX138000S8.EX,2018-04-27,2018-07-20,PUT ,13800.0,1303.7,11.29