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December 23, 2021 21:04
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 93, | |
| "id": "06946699-0917-4326-9170-5a08e062f03b", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Requirement already satisfied: yfinance in /opt/conda/lib/python3.9/site-packages (0.1.67)\n", | |
| "Requirement already satisfied: pmdarima in /opt/conda/lib/python3.9/site-packages (1.8.4)\n", | |
| "Requirement already satisfied: numpy>=1.15 in /opt/conda/lib/python3.9/site-packages (from yfinance) (1.20.3)\n", | |
| "Requirement already satisfied: requests>=2.20 in /opt/conda/lib/python3.9/site-packages (from yfinance) (2.25.1)\n", | |
| "Requirement already satisfied: lxml>=4.5.1 in /opt/conda/lib/python3.9/site-packages (from yfinance) (4.7.1)\n", | |
| "Requirement already satisfied: pandas>=0.24 in /opt/conda/lib/python3.9/site-packages (from yfinance) (1.2.4)\n", | |
| "Requirement already satisfied: multitasking>=0.0.7 in /opt/conda/lib/python3.9/site-packages (from yfinance) (0.0.10)\n", | |
| "Requirement already satisfied: python-dateutil>=2.7.3 in /opt/conda/lib/python3.9/site-packages (from pandas>=0.24->yfinance) (2.8.1)\n", | |
| "Requirement already satisfied: pytz>=2017.3 in /opt/conda/lib/python3.9/site-packages (from pandas>=0.24->yfinance) (2021.1)\n", | |
| "Requirement already satisfied: six>=1.5 in /opt/conda/lib/python3.9/site-packages (from python-dateutil>=2.7.3->pandas>=0.24->yfinance) (1.16.0)\n", | |
| "Requirement already satisfied: urllib3<1.27,>=1.21.1 in /opt/conda/lib/python3.9/site-packages (from requests>=2.20->yfinance) (1.26.4)\n", | |
| "Requirement already satisfied: idna<3,>=2.5 in /opt/conda/lib/python3.9/site-packages (from requests>=2.20->yfinance) (2.10)\n", | |
| "Requirement already satisfied: chardet<5,>=3.0.2 in /opt/conda/lib/python3.9/site-packages (from requests>=2.20->yfinance) (4.0.0)\n", | |
| "Requirement already satisfied: certifi>=2017.4.17 in /opt/conda/lib/python3.9/site-packages (from requests>=2.20->yfinance) (2020.12.5)\n", | |
| "Requirement already satisfied: joblib>=0.11 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (1.0.1)\n", | |
| "Requirement already satisfied: scipy>=1.3.2 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (1.6.3)\n", | |
| "Requirement already satisfied: scikit-learn>=0.22 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (0.24.2)\n", | |
| "Requirement already satisfied: setuptools!=50.0.0,>=38.6.0 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (49.6.0.post20210108)\n", | |
| "Requirement already satisfied: statsmodels!=0.12.0,>=0.11 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (0.12.2)\n", | |
| "Requirement already satisfied: Cython!=0.29.18,>=0.29 in /opt/conda/lib/python3.9/site-packages (from pmdarima) (0.29.23)\n", | |
| "Requirement already satisfied: threadpoolctl>=2.0.0 in /opt/conda/lib/python3.9/site-packages (from scikit-learn>=0.22->pmdarima) (2.1.0)\n", | |
| "Requirement already satisfied: patsy>=0.5 in /opt/conda/lib/python3.9/site-packages (from statsmodels!=0.12.0,>=0.11->pmdarima) (0.5.1)\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "!pip install yfinance pmdarima" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 45, | |
| "id": "e3b30aab-f64e-4999-98d3-41cfbd6fc75e", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import yfinance\n", | |
| "from datetime import datetime, date, timedelta\n", | |
| "from statsmodels.tsa.stattools import adfuller\n", | |
| "from numpy import log\n", | |
| "\n", | |
| "import numpy as np, pandas as pd\n", | |
| "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import statsmodels.api as sm" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "bf08efc7-0c17-4d18-a019-de3d3745c8e5", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "current_date = datetime.now().strftime('%Y-%m-%d')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "id": "84dc4ed3-37e8-4ed3-83e1-c34c3838e196", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "max_timestamp = date.today()-timedelta(days=365*2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 55, | |
| "id": "6954b0b1-18c5-4cd8-8727-4f0713d5f705", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "[*********************100%***********************] 1 of 1 completed\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "prices_data_df = yfinance.download('BTC-USD', start=max_timestamp, end=current_date)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 56, | |
| "id": "55aa9fd9-b074-46b0-b602-4ce2aab54bc6", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<style scoped>\n", | |
| " .dataframe tbody tr th:only-of-type {\n", | |
| " vertical-align: middle;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe tbody tr th {\n", | |
| " vertical-align: top;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe thead th {\n", | |
| " text-align: right;\n", | |
| " }\n", | |
| "</style>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>Open</th>\n", | |
| " <th>High</th>\n", | |
| " <th>Low</th>\n", | |
| " <th>Close</th>\n", | |
| " <th>Adj Close</th>\n", | |
| " <th>Volume</th>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>Date</th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>2019-12-24</th>\n", | |
| " <td>7354.393066</td>\n", | |
| " <td>7535.716797</td>\n", | |
| " <td>7269.528809</td>\n", | |
| " <td>7322.532227</td>\n", | |
| " <td>7322.532227</td>\n", | |
| " <td>22991622105</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2019-12-25</th>\n", | |
| " <td>7325.755859</td>\n", | |
| " <td>7357.020020</td>\n", | |
| " <td>7220.991211</td>\n", | |
| " <td>7275.155762</td>\n", | |
| " <td>7275.155762</td>\n", | |
| " <td>21559505149</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2019-12-26</th>\n", | |
| " <td>7274.799316</td>\n", | |
| " <td>7388.302734</td>\n", | |
| " <td>7200.386719</td>\n", | |
| " <td>7238.966797</td>\n", | |
| " <td>7238.966797</td>\n", | |
| " <td>22787010034</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2019-12-27</th>\n", | |
| " <td>7238.141113</td>\n", | |
| " <td>7363.529297</td>\n", | |
| " <td>7189.934082</td>\n", | |
| " <td>7290.088379</td>\n", | |
| " <td>7290.088379</td>\n", | |
| " <td>22777360996</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2019-12-28</th>\n", | |
| " <td>7289.031250</td>\n", | |
| " <td>7399.041016</td>\n", | |
| " <td>7286.905273</td>\n", | |
| " <td>7317.990234</td>\n", | |
| " <td>7317.990234</td>\n", | |
| " <td>21365673026</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " Open High Low Close Adj Close \\\n", | |
| "Date \n", | |
| "2019-12-24 7354.393066 7535.716797 7269.528809 7322.532227 7322.532227 \n", | |
| "2019-12-25 7325.755859 7357.020020 7220.991211 7275.155762 7275.155762 \n", | |
| "2019-12-26 7274.799316 7388.302734 7200.386719 7238.966797 7238.966797 \n", | |
| "2019-12-27 7238.141113 7363.529297 7189.934082 7290.088379 7290.088379 \n", | |
| "2019-12-28 7289.031250 7399.041016 7286.905273 7317.990234 7317.990234 \n", | |
| "\n", | |
| " Volume \n", | |
| "Date \n", | |
| "2019-12-24 22991622105 \n", | |
| "2019-12-25 21559505149 \n", | |
| "2019-12-26 22787010034 \n", | |
| "2019-12-27 22777360996 \n", | |
| "2019-12-28 21365673026 " | |
| ] | |
| }, | |
| "execution_count": 56, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "prices_data_df.head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "e9f6cc29-059c-43ae-849a-e5cc0c96ed8a", | |
| "metadata": {}, | |
| "source": [ | |
| "## Check if the series is stationary\n", | |
| "\n", | |
| "The null hypothesis of the ADF test is that the time series is non-stationary. So, if the p-value of the test is less than the significance level (0.05) then you reject the null hypothesis and infer that the time series is indeed stationary." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 63, | |
| "id": "a81df621-dd70-42c8-bf34-dfd5426ec416", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "prices_data_for_arima_df = prices_data_df.reset_index()[['Date', 'Close']]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 64, | |
| "id": "f0713769-b58d-4f8c-a655-c3cfe8ecee8c", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "ADF Statistic: -0.932860\n", | |
| "p-value: 0.776959\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "result = adfuller(prices_data_for_arima_df['Close'].dropna())\n", | |
| "print('ADF Statistic: %f' % result[0])\n", | |
| "print('p-value: %f' % result[1])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "5713923c-99d1-4d19-ae58-5d701be4f8ce", | |
| "metadata": {}, | |
| "source": [ | |
| "Since P-value is greater than the significance level **0.746441 > 0.05**, let’s difference the series and see how the autocorrelation plot looks like." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 88, | |
| "id": "cfd8ffe2-a49b-429b-9920-8769a5021701", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<Figure size 2880x2240 with 6 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.rcParams.update({'figure.figsize':(9,7), 'figure.dpi':320})\n", | |
| "\n", | |
| "# Original Series\n", | |
| "fig, axes = plt.subplots(3, 2, sharex=True)\n", | |
| "axes[0, 0].plot(prices_data_for_arima_df['Close'].values); axes[0, 0].set_title('Original Series')\n", | |
| "sm.graphics.tsa.plot_acf(prices_data_for_arima_df['Close'].values, ax=axes[0, 1], lags=len(prices_data_for_arima_df['Close'].values)-1)\n", | |
| "\n", | |
| "\n", | |
| "# 1st Differencing\n", | |
| "axes[1, 0].plot(prices_data_for_arima_df['Close'].diff().values); axes[1, 0].set_title('1st Order Differencing')\n", | |
| "plot_acf(prices_data_for_arima_df['Close'].diff().dropna().values, ax=axes[1, 1], lags=len(prices_data_for_arima_df['Close'].values)-2)\n", | |
| "\n", | |
| "# 2nd Differencing\n", | |
| "axes[2, 0].plot(prices_data_for_arima_df['Close'].diff().diff().values); axes[2, 0].set_title('2nd Order Differencing')\n", | |
| "plot_acf(prices_data_for_arima_df['Close'].diff().diff().dropna().values, ax=axes[2, 1], lags=len(prices_data_for_arima_df['Close'].values)-3)\n", | |
| "\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "e345d476-c669-441b-86fd-367bf43983bf", | |
| "metadata": {}, | |
| "source": [ | |
| "For the above series, the time series reaches stationarity with the first order" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 92, | |
| "id": "a4fcdc06-7b07-497f-8f0f-cae05e9fee02", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from pmdarima.arima.utils import ndiffs" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 96, | |
| "id": "de4e017a-b511-498a-a2e0-376f43774130", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "adf value: 1\n", | |
| "kpss value: 1\n", | |
| "pp value: 1\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "tests = ['adf', 'kpss', 'pp']\n", | |
| "for test in tests:\n", | |
| " test_value_int = ndiffs(prices_data_for_arima_df['Close'].values, test=test)\n", | |
| " print(f'{test} value: {test_value_int}')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "c6b7489e-65ec-492b-ad09-921861e27809", | |
| "metadata": {}, | |
| "source": [ | |
| "## AR term (p)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 112, | |
| "id": "f43c16d2-005e-458e-8988-25f59f933b50", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/regression/linear_model.py:1434: RuntimeWarning: invalid value encountered in sqrt\n", | |
| " return rho, np.sqrt(sigmasq)\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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bNzWtkRWdczeb2a5486F9YmaxUen64DUl2wfvYvijbCvsnHvKzC7BuxB9YGYP4P2tBuJlKqfgZZLzxjn3iZn9Bm/+thlmdheb5gntA8wAvpLPY4qIBPwLb1Ciq8xsf7zWOdvgXZ/uwxvPIFMf4vVfPNbMNuJ9VsemQPkswTax+SXPNrMxeBm9oX49HiWzQCNKrCnujYkKOOdWm9ndbOoqc52/6vd4gdsr/voNeFmzarzP6B1Du0r1+v+Al9U8DO9z/zG8uSq/gzdVyJXOuZbB6pxz75vZ6cDfgLfN7EG8v1NfvNHWV/v1wTn3qpldiTcv9Ux/3Im1/vFG4w2C9/s0z1lKzptn9WjgfrzvOc/itVxqxvub7enXszbFrq7Hm0P7bn/wxgV+fQ/CmwM16n34LN45u88/h+uBz5xz/05ynIzOvZSpYswDo4ce5fpg0/xkiR5zA2V7Ab/BG3RhAd5Irovw5rg6jtC8aHgfhLfjBW1NJJlvLLTdraE6NOH1OfwEbwLt/yUwd2Vo24nkcZ5Qf30n/5iv4gVW9XgX42eBnxKYH5UU86oFyh0KPAIswcseL8Zr/nspMDJU1pFgvlUSzFPmrzsEb4TcOr/O8/AusONT1Zck85YlO194zcTexvtysxS4DS9gnwmsKPX7XQ899Ghbj9h1IM2yOwAP+Z+ra/Fufv6ABHNkJvv8DJQZ63/Wr8QLSFquI0muN0PwWtEswAso3sMLpqqiPs+TXZ9C5bbxy30BVKcou5dfdnpo+al+fer9687f8YKryM/8ZK/fX18LnO9/xq/HCyRfBo5LUrc98Zqrxq5/C/1r1dERZY/197fav668B/wKqI0oO5fQfJqZrPfLDAeuxQuON+B995iFNy/54em8f/xz/xxeE+jY+TicxNfbSrwbuJ/iDWAV9x5JVO9Mzj1ZzBOrR+Ef5p98EREpAL+/0Rd4X4Y0BLyIiIh0eOoTKiKSB36f4erQsirgj3h3bO8vScVEREREyowyoSIieWBmP8LrO/sMXtPfPnh9XLcFpgN7ueJNGSMiIiJStjQwkYhIfkzF64+yD5sm/p4DXAb8TgGoiIiIiEeZUBEREcGfgiHRvMN7OuemJFgnIiKSEWVCRUREJOh8WgejM0tRERERaZ8UhIqIiEjQx8p6iohIIWl0XBERERERESkaBaEiIiISdJ2ZNZrZKjN70sy+VuoKiYhI+6KBiXJgZj2BffGmY9hY4uqIiEhhdQKGAC8451aWujL5ZmY7A6cAzwPLgRHAz/GmGfqmc+7JJNsOAPqHFnfzt52JrpEiIu1ZxtdHBaE5MLNvAw+Wuh4iIlJUhznnHip1JYrBzHoB7wJ1zrkdk5SbBFxYpGqJiEh5Svv6qIGJcjMP4IEHHmDEiBGlrouIiBTQ7NmzOfzww8H/7O8InHMrzOwR4Edm1jnJfLfXA3eHlo0E7tE1UkSkfcvm+qggNDcbAUaMGMGoUaNKXRcRESmOjta01PyfCZtOOeeWAEviNjJvM10jRUQ6jLSvj0UdmMjMbjUzl+SxR4pysxLs90wzm2Vm9WY2x8wuNLPqiHID/H0vM7N1ZvaamU0o9OsWERFpi8ysN3AoMN05t6HU9RERkfah2JnQS4C/RSx/GKgH3ggsWw+MD5Vr1QzIzH7l7/cK4ClgLHApMBg4LVCuBngW6AWchXfH9gzgCTM7wDn3QlavSEREpB0ws9uBz4E3gWXANsA5wEBgYulqJiIi7U1Rg1Dn3CfAJ8FlZrYv0A+41DnXFFjVnGqybDPrC1wA3OCcO99f/LyfBb3UzK5yzr3vLz8VGA3s5Zx7zd9+MjADuBLYPbdXJyIi0qa9AxwD/AhvZNs64GXgJOfcG8k2FBERyUQ5zBN6Kl4/k5uz2PYgoBa4JbT8Frw+LIcHlh0BfBgLQAGcc43AbcA4MxucxfFFRETaBefcFc65nZ1zvZxzVc65Ac65IxWAiohIvpV0YCJ/ns2jgWedc3NCqzub2WK8eccWAQ8Av3HO1QXKjPZ/vhvc0Dm3yMyWBdbHyr4UUY13/J+jgAVJ6ho1B9rWicqLiIiIiIhIa6UeHfc4oDNwU2j5DP8x03++L/AzYIKZjXXOrfGX9wXqnXNrI/Zd568nULYuQTlCZaOcjuZAExERERERyUmpg9BTgeXA/cGFzrk/h8o9bWZvA/cAPwSC6xMOGR+xLpOyYVFzoG0NPJhiOxEREREREfGVLAg1s68AuwF/cc7Vp7HJ/cBaYI/AsuVArZl1cc6tC5XvA0wLlY3Kdvbxf0ZlSVskmwNNRHLX1Ox4fU4dO2zeg56dW82wJCIiIiLtRCkHJjrV/3ljBtsY0Bx4HusLOiaukNlmeCPuzgyVjSsX2nZmxDoRKZLrJs/muBumcPh1r5S6KiIiIiJSQCUJQv05O08EXnfOpRv8HQ10AYLTtjwBbKD1/GUT8ZrXPhBYdj8w0sxapmIxsyq/HlOdcwvTfwUikm9/evojAOYsi+riLSIiIiLtRama4x6O1wy2VRbUzIYBtwN3ArPxgsl9gZ8C7wW3cc7VmdmlwCVmVgc8BYwFJgE3BuYIBW8KmDOAu83sPLymtacD2wEH5PXViYiIiIiISKRSBaGn4vXvvDNi3SrgC+BsYCBQCXwGXA1cHh4J1zl3mZmtxgswzwUWA1cAl4XK1ZvZBOBK4Bq8rOp04GDn3At5e2UiIiIiIiKSUEmCUOfcN5Ks+xI4MsP9XY0XpKYq9wVwSib7FhERERERkfwp5cBEIiIiIiIi0sEoCBUREREREZGiURAqIiIiIiIiRaMgVERERERERIpGQaiIiIiIiIgUjYJQERERERERKRoFoSIiIiIiIlI0CkJFRERERESkaBSEioiIiIiISNEoCBUREREREZGiURAqIiIiIiIiRaMgVERERERERIpGQaiIiIiIiIgUjYJQERERERERKRoFoSIiIiIiIlI0CkJFRERERESkaBSEioiIiIiISNEoCBUREREREZGiURAqImXHOVfqKoiIiIhIgSgIFZGyoxhUREREpP1SECoiZadZUaiIiIhIu6UgVETKjkJQERERkfZLQaiIlB0lQkVERETaLwWhIlJ2nHKhIiIiIu2WglARKTvKhIqIiIi0XwpCRUREREREpGgUhIpI2VEmVERERKT9UhAqImVHfUJFRERE2i8FoSJSdpQJFREREWm/ihqEmtl+ZuYSPPYIld3FzJ4xszVmtsLM7jOzrRLs90wzm2Vm9WY2x8wuNLPqiHIDzOxWM1tmZuvM7DUzm1Co1ysi2VEMKiIiItJ+VZXouOcDk0PLZsZ+MbORwPPAdOC7QC1wMfCSme3knFsaKPsr4BLgCuApYCxwKTAYOC1QrgZ4FugFnAUsAc4AnjCzA5xzL+TzBYpI9pxSoSIiIiLtVqmC0I+dc1OSrL8YqAcOdc6tAjCzacDHwLnAL/xlfYELgBucc+f72z7vZ0EvNbOrnHPv+8tPBUYDeznnXvO3nwzMAK4Eds/nCxSR7CkEFREREWm/yq5PqJlVAYcC98YCUADn3Gd42dMjAsUPwsuS3hLazS2AAYcHlh0BfBgLQP19NgK3AePMbHAeX4aI5KBcEqFvf/4lD89YSHNzmVRIpIjM7Ad+d5k1pa6LiIi0L6XKhF5nZncC64DXgEuccy/767YGOgPvRGz3DvB1M6t1zm3Ay2wCvBss5JxbZGbLAuvxf38pwT4BRgELElXYzAYA/UOLt05UXkRyUAYx38p1DRxx/asAbGxs5qhdtyhxjUSKx78x+wdgIdCzxNUREZF2ptiZ0JXAX4D/AfbH65s5BK8J7YF+mb7+z7qI7evwMpy9A2XrnXNrE5TtG3jeN8k+CZWNcjpev9Xg48EU24hIFsphipZPl21K/vzrtbmlq4hIafwNeBF4utQVERGR9qeomVDn3NvA24FFL5nZ/XiZzCuBJ4PFk+0qi3KZlg27Hrg7tGxrFIiK5F05NMc1s5bfy6A6IkVjZicC+wI74A30JyIiklelao7bwjm3wsweAX5kZp2B5f6qqMxkH7zvgyv858uBWjPr4pxbF1F2WuD58iT7hOgsabCeS/BG1G0R/JIqIvlTDkGf/rulI/K7nlwFnOecm6/rnIiIFELJg1Bf7CrngE+A9cCYiHJjgNl+f1DY1Bd0DDC1ZWdmmwH9CEz74pdNtE9CZUWkhDRFi0jJXA98CPw1k400boKIiGSi5KPjmllvvNFwpzvnNvgj1j4MHGlm3QPlhuL1I70vsPkTwAZgYmi3E/EC2gcCy+4HRppZy1Qs/ki8JwJTnXML8/SSRCRH5RaCKiaWjsDMjgK+BfzQZX4nSOMmiIhI2oqaCTWz24HPgTeBZcA2wDnAQOIDyQuBN4BHzOwKvGlYLva3+WOskHOuzswuBS4xszrgKWAsMAm4MTBHKMDNwBnA3WZ2Hl7T2tOB7YAD8v1aRSR75RD0BVshlsNASSKFZGbdgOuAa4CFZtbLX9XJX98LaEgwECBo3AQREclAsZvjvgMcA/wI6IbXD/Nl4CTn3BuxQs65WWa2H/A74B6gEXgOONc5tzS4Q+fcZWa2Gi/APBdYDFwBXBYqV29mE/AGQLoG6AJMBw52zr2Q7xcqItkrh6DPAr1CyyEoFimwfng3hM/xH2Ff4gWUh0dtrHETREQkE8UeHfcKvAAxnbLTSDND6Zy7Grg6jXJfAKeks08RKaEkQd/sJav589Mfc/RuW7D/dgMKVgV9f5YOZjFel5ew8/BGyj0YrzWSiIhIzsplYCIRkRbJEo/f+dtrfLmugUffXcTcK75ZtDqJtGf+gH/Ph5eb2USgyTnXap2IiEi2Sj4wkYhIWLLmr1+uayheRXxqjisiIiKSPwpCRaTslEOf0KDyqk352djYzNF/fZWj/voq9Y1NkeulbXLOTXTOdSt1PUREpH1RECoiZSeYeSzVnKFxo+MqFZrUnW98zpuffcm0z77kztfnxa176r3FjJn0JJc9+n6CreM9+s4iHp6hGbNERETaMwWhIlJ2YiHfklUb2Of3k5l4y+tFDwSDo+POWryaX9zzDo1NyuhFWba6vuX3L9dtjFt32r+nUd/YzA0vzUm5n7c+/5Izbn+LM+94mzfm1uW9niIiIlIeFISKSNlpbvYCzosfeZ95det5/sOlzJi/sqR1uuvNedz5xjyampUVDQueksochhV+6aNlgd+XJikpIiIibZmCUBEpW0sCGbb1G1v3NSy2Cx6YyVcmPcnj7y4qdVXKSlMgS11RkX0Q2hzMdmuOHBERkXZLQaiIlJ1YLFKOYcjajU38+D9vlboaZSUYPFbkEDwGc8w5xLIiIiJS5hSEikjZyXZ03Hz22cy2DotXbuC/b85j1YbiTyVTKs3NwSA0+/0E+/1aWd6CEBERkXxQECoiZSebMYh+ed+77HTx00z9dHnJ6gBw6DUv8X/3vMPZd82IXP/m3Dqmfda+Bt2J6xNaYVkPIhXcTJlQERGR9ktBqIiUnWxCmDte/5w19Y0cd8OUvNcnE8vWeKPDPvPBF63WfbBoFUf/7TWO+utrzF6yuthVK5jgYE1/e+FTxl3+LC9/vCzJFtGCzXrVJVRERKT9UhAqImUnKpOWbvPYfA1e25xhNm/yrCUces1LScsE5798YubirOpVjoJ/r2Vr6lm6up4Tb5qa+X4Cv5uiUBERkXarqtQVEBEJiwUjpYxDMm1R+r1b38iofHsKspryNIerMqEiIiIdgzKhIlJ28hTTpK252cUNrgPZNQnORLb9JstR3qZOjesTqihURESkvVIQKiJlqHgB2tr6Rib86QW+cdWLbGjYNBdpewoSCy1f5youE5qXPYqIiEg5UhAqImUnMqYpUEx466tzmbNsLbOXrOG/b84r9OFa/OGpj/jhv95sF8FuU55SocFToUSoiIhI+6UgVETKTkuf0Dzlw9ZvbEq4Ljif59r6wmZCw3t8+v0veOvzL/N+nGLL32BQm35Xc1wREZH2S0GoiBTEghXreeDtBUkDwEQyjf+SBYxXP/sxoyc9yW1TPitoHbK1pj7z81Nuwv1ps5XuCMgiIiLStikIFZGCOOCPL/DTu6ZzyaPvZ7xtVDCSLDxJFjD+6emPaGp2XPDAzEQHy2Rx3mU6FUy25ixby76/n8wv73s37/vO12twyoSKiIh0CApCRaQg1vuD/Nw+9fOMt800pilEIFeI2DBqn8XqE/rTO9/ms+XruOP1z+OaIOdDU55egtMULSIiIh2CglARKTuZB6E5HCxBsFOs4LBYzX4/q1vX8ntjvqJGX75uAqhPqIiISMegIFREyk6sOW66cUgh+hLmbe7LgKjXU4jjFFsh+oQqBhUREWm/FISKSNmJbraaWfmc61CAwDaqnsXqExqU7/iuEH1CTVGoiIhIu6UgVESKbunqeu6ZNp+V65L3TUw3DskpCEq0aZFiw1JME5rvQzY152c/wYSqQlAREZH2S0GoiBTdMX9/jXPvnsEZt78Vuf78+99lY2Nz2n0XC5MJLcQ+I0b9LVIUWsigLt3XkLrcpvXqEyoiItJ+KQgVkaL7dNlaAF6evSxy/TvzV/LHpz9k6py6lmXJmsfmqzloMO4pVoayFH1C8x34NqUdhCZf3xzIqCoGFRERab8UhIpI3jQ0NdOQp7aZf3/h07jnyQKYfAVywWMUq69mIfqeppLr+Zq9ZA2H/OUl/vT0RxntL3UeNDAwUZZ1ExERkfKnIFRE8mLdxkb2/8Pz7HXFc6xYtzHv+08aFBZiipYcdpmJkmRCc3x1p/9nGu8vWsXVz37s7S/NgD1VYN8eRgoWERGR1IoahJrZeDO72cxmmdlaM1tgZg+a2a6hcreamYt4zEqw3zP9fdab2Rwzu9DMqiPKDfD3vczM1pnZa2Y2oVCvV6Sj+MszH7PDb55k/pfrWbq6nr++8EnejxE9Yq63sBBZy+LNE1r8yCvXQ370xZqW35ubXcLzv6a+MaPjxmeis66eiIiIlLmqIh/vx0Bf4C/A+0B/4Bxgipkd6Jx7LlB2PTA+tP368A7N7FfAJcAVwFPAWOBSYDBwWqBcDfAs0As4C1gCnAE8YWYHOOdeyMPrE+lwPl26hj8/81HcskUrNuT9OFGBjnNe38FCjI5bkBgow6ln8ik45Uk+g/aG5ua4vpxBu1zydNzzVMcNBuSlaKYsIiIixVHsIPQM59yS4AIzewKYDZwPBIPQZufclGQ7M7O+wAXADc658/3Fz/tZ0EvN7Crn3Pv+8lOB0cBezrnX/O0nAzOAK4Hdc3tpIh3TsjWtm96u2pB86pVsRGXGXOhnruIGwynawESl6RP68IyFLFq5nlO/thWVFZn1wKywTX+PxiaXcGCijY2Z9Q8O7kWZUBERkfarqM1xwwGov2wNXlZ0SBa7PAioBW4JLb8Fr6fX4YFlRwAfxgJQ/9iNwG3AODMbnMXxRTq8qFFMV67PfxAa1WzVOcf9b8/nsGtfyfvxijYwUYEPs7GxmUsfeZ+6tZtuFsxZupYz73ibyx+bxT3T5mW8z2DQ2tjs8tgnNLC+FBOoioiISFGUfGAiM+sJ7AK8F1rV2cwWm1mTmc03s2vNrE+ozGj/57vBhc65RcCywPpY2XciqhBbNiqrFyAirRQiCE2UCf3ZXTNYsKJVS/2cFWvu0UIHuze+/Ck3vjwnbtn7i1a2/P7crFb3BlMKzuHZ2NRMU5ppS/UJFRERESiDIBS4DugKXBZYNgM4FzgJL9t5K/A94BUz6xYo1xeod86tjdhvnb8+WLYuQTlCZVvxBzUaFXwAWyfbRqQjiGrI2VyACCIq25bvAC4uEZfXPad3TIBH3lnIXr99lvvemp+X/b/2yfJWy9Zv3NRMtqaqMuN9VoUyoen+uTPJhCbLri5bU89db3wel90VERGRtqPYfULjmNklwAnAmc65abHlzrk/h4o+bWZvA/cAPwSC65N9qwmvy6Rs2OnAhSnKiAhQkWEfw3REZkILGCkWbXTc0EfP/97+NgBn/3cGR+6yRUGOub6hqeX3mqrM70VWtApC08yEZrA+WWB74o1TmbV4Nf99cz73/nivtI4tIiIi5aNkmVAzuxBvUKFfOeeuTWOT+4G1wB6BZcuBWjPrElG+D/GZz+VEZztjTXyjsqRB1+M16Q0+DktdbZGOpyKqo2iOij2AT1uZJ3T2ktUsWZ3ZaMQbgkFodeaXgbg+oU3N6QehKcYpih8dN7FZi1cDMO2zL9M6roiIiJSXkgShfgA6CZjknLs8k02B4NeYWF/QMaH9bwb0A2aGysaVC207M2JdC+fcEufce8EHkP/JEEXagXT7CGYiao+/eyJy6uC0zFywkmP/8RoPzVjYsiwYOxcrE5pLcD1j3goO+NOL7HH5s6wNzMmZqjl0XBCaRXPcysCJamhyNKU5CO7iVRuSntf4cYmyPy+PvrOIcZc9w52vf571PkRERKRwih6Emtmv8QLQS51zF2Ww6dFAFyA4bcsTwAZgYqjsRLzvrA8Elt0PjDSzlqlYzKwKOBGY6pxbiIhkLCrpWR8IcmKcc3z8xWoa041YIrYPu+WVuVntC+CI619hyqd1LFoZnUUsyMBECeY6zdYfnvoQ8LKpb8ytwznHKTe/zh6/fZZ5desSbpdrc9xgJrQpg9FxD7zqRa54vPWNg5/fPYODrnox7m+Ry3k54/a3WLK6nvPuezd1YRERESm6ovYJNbNzgIvxgsdHzSzYtBbn3BQzGwbcDtyJN3+oA/YFfoo3gu6NgfJ1ZnYpcImZ1QFPAWPxgtwbA3OEAtwMnAHcbWbnAUvw+nluBxyQ9xcr0kFEBQv1EfND3vTyHC599AMOGbNZVsfJd3Pchqbk+yvewETZHynY7NkBs5es4YWPlgJwwQMz+ef3x0Vut35jfCbUOcfiVRsY1LNzwmNN/XQ5XTpVMWaLnnFBaEMGo+MC/P3FT/nlIduzekMDt035nB6dq7h7WutBmLL9e3+6dE1W24mIiEjxFHtgom/5Pw/yH2EGrAK+AM4GBgKVwGfA1cDl4ZFwnXOXmdlqvADzXGAxcAXxo+3inKs3swnAlcA1eFnV6cDBzrkX8vHiRDqiqAAkKgi99NEPAHjs3cVZHac5gwTqG3Pr2G1YbyzDvqmFnqYyap+5HCb48pqaHPe/vaDl+fK19Qm3Wx/qE/rrB2dy25TPufBbO/C9r27Zqvz0eSs45h9eI5SXf7F//BQtGQxMFHPF47P42wvJezNkc15un/o5598fn/1sbnYsWV3PZj1rs9ijiIiIFEJRg1Dn3H5plPkSODLD/V6NF6SmKvcFcEom+xaR5JoiApD6xvjmuPnoX5lJoPOdv73GX0/YhYPHDMr6eOFRawsll+lsgsHgVc9+xMwFq1qeW+TkOZ76hk0RfVWFcdsUr+/kRQ+/HxmE/vfNeS2/T/5wKVWVwea4zRkPrpQqAIXsMqHhABTg3HtmcN9bC/jdUWM4ZuzQjPcpIiIi+VcO84SKSBsWlaEMN3VN1lzzB/98g7P/Oz3lcTKNSS577IPMNiA+s1iAsZUi+8/mcpzg7oIBaOxYa+obeenjZa22Wx/RZzeZqtBouOGBiQoxcnG+dnnfW152+Bf3qn+oiIhIuSjpPKEi0ja8+skyVqxr4ODRm7Vq4hqVCQ1rTBJpPfPBkrTqkGlmsirHuUoLMTpu1C4LNfWMARdEZAYhPghNpz9nVcWm+5VNzS5+ntCCBaH53+frc+oYt2Wf1AVFRESkoJQJFZGkFq5Yz/E3TOX0/7zFc7NaB4zpNCdtyHJE3LjjZBiTVOYYhBZLLtPZpOrz+sD06EG/g82lEx1+Y6Bfb7D5bUOTi8uENjY3Z9RfN12FiM0fnqFB0EVERMqBglARSerdBStbfr99qtd3sLGpmQenL2DmgpVpBVH5mDc002xbMHsXc/Z/p6edYSvSNKFpZZITSRqDJlnZFGguHXVeX/54GTte9FRLH8twc9xwJrQQ88Im2mUufWjbyo0JERGR9k5BqIgk1b12U6v9NfWNANzx+uecded0Dr3mZdZubEy5j3wEdJnGHhURAcd9by3gnfkrI0q3VoiBiaL2mNvARInXJQu3goFv1PFPvGkq6xuaWm46VFVuulQ0NDsCT2lsbs4pkE4k0flvyCHtqiA0OTPbycweNbPPzWy9mdWZ2WtmdmKp6yYiIu2L+oSKSFI1VZUtv6/e4AWc1z+/aXTTZWs2ptxHPvoMZtpHMFGf0Lq1qesLmU0Jk8j6jU3c89Z8dtyiJ8P6do0sk0tL5WQj4CYTPGY4Bj3oqhdbla+uiB8NtzKQZW5sLm4mNNX8rskoCE2pFzAPuANYAHQFTgD+bWbDnXOXlrBuIiLSjigIFZGkggFGLBMaDATS+Vqfjxgl04xhooAjPH1MUNw8oRkdLdqVT87illfmAlBTVcHuW/VtVaZQzXGTzRPaGIiwwzcIZi1eHfe8udlRWRnf/LYq1By3MQ99flsJ1evz5esY1KuWhog5aNNVkeG8sR2Nc+554PnQ4kfMbEvgNEBBqIiI5IWa44pIUsGAJRaEBpc1ppEyzEfT1kz3kCgTWp8kiAnWMx+js8YC0NhxX/xoaasyuTTHTRZTzatbn3BdY4o+oUEbm5qpDmQ+wwMTNTQ1FzwT+tCMhezz+8l8/9Y3chrkKtcRkzuwZUDqdvciIiJpUiZUpJ1qDk2lkcrGxmY6VbW+LxWVCQ0GMVc983HKfZeiT2jiTGiSIDSDTKhzLuXotOnILROa3fE3NiXOhIbVNzTHjY7b1NxMcMynpmaXdAqebAVvCPzkjrcBeOnjZUn/fqlk8v/QkZlZBd5N6t7Ad4ADgf9Nsc0AoH9o8dYFqaCIiLR5yoSKtEMvfrSUHS9+iisen5VW+VtemcPoC5/kn6/ObbUuGGDEpu0IZqPWbUzcvDUmH31CL3nk/YzKV1ZYZDZzY5IgJi4rmaLKJ9/8el6ypckyoVM+XZ5022xDquDfL1Visb6xKW5gosZmFxfgNxS9T2gOAxOpOW66rgcagCXAn4GfOOf+nmKb04GZoceDhaykiIi0XQpCRdqhk29+ndUbGvnbC5+kLgxc9PD7bGxq5sKH3mu1riliIJhMM1/5Gjz1i1Ub0i7rBaGtlyfLpAVfVqrA+aWPl7FgReImr+lKFsAd+48pSbfNNhMal/FNlQltbI4LdhubXFzfysamAo2OW4CBiYIZXUnqcmAs8E3gZuBaMzs3xTbXA6NDj8MKWUkREWm71BxXRJKK6vOZaeYrH5lQry7p76e6siIymZl0YKJgn9A0jpGP0VZTTZeSTD5CqpTNcRub4gLVhubm+ExoU3NB5lRNFBx/snRNq3LpBuMamCg9zrnPgc/9p4/55/e3ZvZP51zrjs3eNkvwMqct8tFcXURE2idlQkUkqXz098tXkJLJwDIVZpEBVn1DepnQdOqcl76u/kGdc8wOBVip5KOL49Pvf5F0/YaG5rjz0hgamGhDkvOZi0Sn9vT/vBX3vKnZ0dzsWL4m8WjAMZW64mXrdbyb1luVuiIiItI+KBMqIknlo79fvjKhmWSyqhI0x13f0MSS1dHNeoPZt3RG9M3HuYllQv895TN+82Dr5tDJ5CPTNHf5uqTr6xvjR79tanZxo/IWZHoW0s8KNzY7Tvv3m7z8cWSCLo4yoVnbH2gGPi11RUREpH1QECqSQFNoAJaOqjGHPngx+cqEZjLVS2VFdCb00XcWccNL0d+lg+XTqXNeglA/hss0AIX8NMdNZWNjc9x5CQ8MtDEP748osb0mG0gKvCA0auqbKJqiJTkz+wewCi/z+QXQD2903GOA3ydqiisiIpIpBaEiEWYvWc0xf5/C2OF9+NtJu5a6OjnJdKqWsHTmAU1ZhzxFoZnsJtHARMkGE4pvjpv6YPloqtyUy/ktQkzl9Qnd9LyxOX5golRBYrZi75lUgX59Q+rRmWN0Uyml14DvAacAvYA1wAzgJOfcbSWsl4iItDMKQqWoVq5v4P635rPPtv3Zqn+3UlcnoZ/eNZ3lazfyxHuLqVu7kT5dO5W6SllraG6mpqIy6+3DgdbnKZpvRsnXDB6ZBKFVlZZR5jS8/3S2zEcmNJfRXq0IUWh9KBP63Ky4sWdymjIlmYamZm56eQ4De9QkLZfOFEExmic0OefcLcAtpa6HiIi0fwpCJaXrJs/mjbl1XHn0VxjQvTanfZ137zs8PnMxAHOv+GY+qlcQC1ds6jOYryxeIWxsbKZTVfLRVhqbHDX+f/q8unW89fmXHDhqM2qr0wtMw4HWPr+fnHE98zGfJmT2t6g0yzj4dRk2x81HljjZaL1BK9c1sHjVBrbbrHvLsmLEVPWNyadgKVQQetuUz1MXwuvjmy41xxURESkPGitQklq1oYHfP/khz3+4lAvun5nz/mIBaLkLBjv5yHYVwl1vfM7oSU/y1+eTzwUazGR+69qXOevO6dz08pyWZakCxLz0Cc15D54rn5iVdlmzzG8gxPcJTaM5bh7OTTrNWZuaHV//8wsceNWLPDdr02i2xRhnp76hiTlL1yZcv7FAQWi61meSCdXARCIiImVBQagktSGQZXjr8y9LWJPiCo7MWag+b7n6xb3vsrGxmd+lCMxio5eu3tDAinUNAPz+yQ9ZssrL9qYKIvIRhH/jzy/mvA+AB6YvTLtss8t8QKTmDJvjHnbdK8xcsDKzg4TUNzbH/Z9FWb62niWrvSlI/u+ed1qWFyOomrNsLXdPm59wfS7NifMhk+a46hMqIiJSHhSESlLBAKSMW6XmXTAYKXWmJ1exTOjHS+LnoJzwxxd49ZNlLFuzMeG2C1as55VPlhW0foXS3Owybgbc7Bzz6tbx6DuLqE/z5sNp/3ozm+q1qG9oZtWGhoTrT7xxKrO/2PS3C743i5HY+/eUz5KubyjxTZr1DY1pl1UQKiIiUh7UJ7SNWFPfyIx5Kxg7vE/KPoD5VF+giehj1tY38s78lew2vDfVacwk/9CMhbz40VL+76Dtcu6fmkyyKSnamlj9Pw01qVxd38jxN0xlUM/o87ixsZnxf3g+7WCs3DQ7l/GNE+dg7yu9Pq+d0+wzu3hV9Jyj6apvbCJZ19KXZy/j5dmbbgTUrd3IklUbGNCjlmIMj5uquWupb9IoEyoiItL2KBPaRpz2rzc54cap/P7J9PvE5UMwAMl31sU5xxm3v8VxN0zhT09/lFb5n9zxNvdMm88v7303v5UJCQah5docN10XPvgejU3NrNsYnTFatDI6iFqyekObDUABmlzmfUKDmdN0B7yxHP8xwqPPpuOiR973j53TodOSahqaUt+kySgIVZ9QERGRsqAgtI149ZPlANzw0pwUJfPj3mnzOebvrzF93qZ+oMvWbOTXD8zMW1C2samZ5z/05j5PNbgOxH8ZfjY0TUS+Bb93l/pLdjrenb+SK5+YxRcRWblnZy3hqL++yr1vLchon7kGV6XW7FzGo+MmGwU24TbNLq4PcaY2NjZnPHDT/C+9uU7LoYl8qW/SZDIwkTKhIiIi5UHNcSXSOXfPAGDqnLq45f+e8hkDutdw3O5Dee2T5YwfOYCuNdm9jTId0KSYX3bjByZyNDU7TrppKnVrN3L3j/ake211Xo+3oaGJ/745jx236MWOQ3plvP23rn0ZgDfm1nH3j/ZqtX7G/MwHz6nPYOqLclTf0JTxPKHZjnZ739uZBfhB9Y3NGQexlX4sla+pb3IRGzCpVNQcV0REpO1RJrQdeGNuHS98tLTl+ZdrN0Zm7555/4u46R2y9cysJZx80+ucecfbXPDATN5fuIq9r3yOS/wmggBPvreYw659mRcD9QoLNw99eMZCfvDPN3js3UWR5YvZNDTYPHLl+o3cNuUzXv1kObMWr04ra5upa577mN88+B6HXfdKToHFG3NzH8H4P1M/46WPl7bpprgAz3ywhM+Wr8tom2xvdFz00HtZbQfpzxMaFBsVtxymD5qzLPH0LcWwPkEz8ygVCkJFRETKgjKhZWzyrCUsW1PP0btukbDM7CWr+c7fXgPg8bP2pqnZccT1r7BVv248dtbeLXf+3/78S37gj+L5yJlfY/TgnlnXa8W6jS1f7u9/ewHTPvuSeXXruenlOfzqkO2pqDD+59/TADj55teZe8U3I/ezbHX8qKxn3vE24AUPc357SKvmoNl8Wc9W8Lv9j257K25duA+lcy7npqvXBwLb9Q1NdOmU/F8zWaD65drEo92m41f+fLB/P2nXnPZTDs6/L7O+w9kG3qvr0w+EWh2zIfM+obH/6zKIQUturfqEioiItDkKQsvQL+97hzten9fyfGCPxKPA3j51U7kn31vMq58sp6HJ8eEXq3l85iLueP1zvr3j5sxZtikj9MJHS+OCUOccazc2Me2zL9l5aC96pGhqGg5yPq/btO/1DU2RzXOXrq6nZ+f4/S5bk7gZX2Ozo9pvc7ixsZlLHnmf6fNWtKxP1azunmnzeXNuHb88eHt6dok/bq5BYzBg+GDRKr5/6xscsP1ALjl8dFrbNzQ188N/vUlTs+PGU3ajpqqSSjMa/f2urU8dhCYLlq54PD+DV705ty51oTK3OMGgS4mUIvtb39Sccd/O2Pu/HJrjltraDG4AVCkTKiIiUhYUhJaZFes2xgWg4GUTE5m9dNP8gf261cT14/vf273M4iuzl/PDvbdsWb5+YxNvzK1jl6G9MeA7f3+NaZ95zTgP2H4gN56yW9I6rtqQ+Evf2vrGVkHoK7OXceJNUxm1eY+45UuT9CU7+q+vcsv3xtGnayeem/VFq7kKk32XXL+xiXP9Pq3Owe+O/krLuoUr1nPsP6aw/aDu/O3EXbMKRoPZp//59zQWrdzAv6d8xqRvj4oLjldvaOC8e9+le20V40cOYP+RA6iurOCxdxe1DMh025TPOfVrW1JZYS0DL62tb6R/95q4Y9Y3NlFTtWnKkGRfvO96c17CdZlYmGEAV47WZdivtZjZ9piNjc0ZD4hUWWGs3tDAcx8WdoCutiCTTKia44qIiJSHDtcn1My6mdlVZrbQzDaY2XQzO7bU9YpJ5wvVp37g2dTseCMwcNDS1fXUJJjbsG5tQ8vv106ezXf+9ho3vzyHWYtXtwSgAM98kFuf0aj6n3DjVJyDmQtWxS2ftXhVq7IxM/zRXiE6m5UseKxbtylT+8g7C+PWXfTwe3xet44n3/uCTwIBfMzzHy5hyqfLE+4bvADw1dnLeH/hqrgscKyPq3OOG178lDGTnuLRdxdx5xvzOO3f0/jHi58CsHL9pr/Fx1+sBuIzu2tDfdwufvh9trvgCYaf92jLOfvDUx8mrWM+PPpOdN/ctiTTPpPvLUz8niykTOfjrTDjrDuns2JdQ+rC7dzDMxamLuTTwEQiIiLlocMFocB9wCnARcDBwBvAHWZ2fElr5Uunadlh173C+o1NzFm2Jm4uw788+3HC5oTz6loP0HLZYx9Ezh3ZmMOUJMkGIgpLNd3MG35z0JXrW9dxY2NzSyb14y9Wc/ljH7QMkBJsLhyOQT5dumkQlQsemBm3buaClUy85Q2O/ceUpPV6btYSjr9xKodc/VLc8tgonc9+sITLHvug1Xa/f9ILHGsDGc0735jHHa9/zobA33HJqvqWqVaamh03v7LpPB101UvMXba2VbZc8qMux/602Up3TtKYygrjuQJPU9QeVahPqIiISFnoUM1xzewQ4OvA8c65O/zFk81sGPB7M7vLOVeSeSnW1jdyySPvpzU65+oNjfzuiVmMGNCt1boZgX6TQa8n6N8XlUlZmqSvZioXPvQeD2WQmUjmk6VrOee/M7j3rfmR68de9gzHjRvSEpD948VP+cuxO9E5kA1uco4Hpy/g4y/WMLBnbdxrm/JpHV+u3Ujvrp0AeH1Obn0gd7/82ZRlhp/3aKtlvwwNnvO9W9+gwuDkPYdz66tzW5X/3RP56fMp5WP+l5mN4hsVgF57/M4tTfAlmhKhIiIi5aFDBaHAEcAa4O7Q8luA24HdgVeLXalVGxr4yqSnMtomKjjJRlTmJ9PBXMKCzXtzlSgAjQlnBM+6c3rc842Nzfz0rukJB3659NEPOHnPYfTvXsM1z32cS1Xzqtkl/hs/PnNxcSsjBRd+32ZqcK/OHPqVzRWEioiISJvQ0YLQ0cAHzrlw+853Ausjg1AzGwD0Dy3eOh+Vuu652fnYTVaigryj/Slf2otkY77c+9b8lIGuwL7b9mfM4J5cOzn6vXruN7blD099VORaSUz32o72US4iIiJtWUfrE9oXiGpzWRdYn8jpwMzQ48FcK/TX5z/h7/6ANaUwNaIJaqaDuUhxhJtf9/WbERfDtcfvTK8uiafuyXWeVMlNrK/jZUekN01QR6X3qYiISHnoaEEoQLIIK9m66/EypcHHYblWZtdhvXPdRZsx9fwJ/PmYHUtdjaRGDOhGt4h5TsvB8lBf3coK44Jvbp/xfvbdNpzQT62mqpKaqsQfF6Ue8GVAaEqbRDpVts+PvAr/ZR0/bmir6X1EREREyk37/EaW2HKis519/J8JR6Zxzi1xzr0XfACf5FqhscN787MDtuXJn+5Dv27xma39t4sPFnYYFD/PZswvDhrZatm3d9w8o3oM69slo/LBY39li55plR3Yo5ZtBnSPW5ZNQJRPXTtV8szZ+zLpWzvw8i/255mz9+WtX3+dZ8/Zl98eOYYDth+YdPsf7Zt9i+z9tusfGUTWVkf/Wx4zdmjc8+rKCn6w91bclGJe17AtenfOqLx3LKM6SQBXythu7236pRUEX3f8Llx6ePvMFMZev5kxZnB6/48iIiIipdLRgtB3ge3NLJzqGuP/nEmRmRlnHbAN223WnT8fs1PcukPGDGr5fcchvXjsrL3pHpGlO3nPYfxk/AjAC4pumTiWc76xbdp1uOCb2/PCz/dnl6G9Mq7/mME9eeh/v8ac3x6SVvlRm/fg+N2Hsvc2/Zh50YH8/jtfSftY4QzlZj1qOXnPYS3Pf3bAtsy+7GAuPmxUy/mImfLLCbz2y/G88asDePQnXwO8YO+O0/ZgxIBuTPzqlmzR2wvEO1VVsHX/bhw3big3pgjwwjcOgr75lUGRy3t3qeZ3R43hyqO/0iprVWHw6nkT6Nm5mqrAUJ4jBnTjx/tuHfd6Lzl8FAATth/IftulH8wP6ZP5DQczo1OCTOj1J+xS0kyomZHO4SsMKtrp8KjB85+Pl3jaPlvlvpMy1D7/+iIiIm1PebY7LJz7gR8CRwF3BZafAiwEppaiUjF7b9Of//7Pnky85XUOGr0ZR+6yBW/MrWP1hkauOnYnAC789ijOvXtG3HZda6o4+xvb8YN9tqJHrddvb2UGk9hv2a8rAL27ZN7HMBaYhPta7b9df7rVVreaSN7MuPyIMS3Pu9VU0bdrJ5anMT/jTw/Yhksf3TT/5nUn7MwzH2yaqqKyAqoqKzh5z+G8t3AlV/sDPg3v24XNeta2lOvfvYa5V3wT51zGfcR+e+QYLnzovZapdPp1q8EsevCjCw/dgUffWdRq+W++tQNH7LxFy/ZBzQ76dO3Ec+fsy4bGZr5cu5H73lrAKXsNo2eXai4+bDSnfm1L5n+5nr223pTUbwjM7XraPlvRtVMVf35m00BBVx2zEz+9azoAX926H/26dWLZmszmxIzKhL7w8/0Y1rcrN7+cfM7XQjLSaw5sRlxg354EX1Y+bghUV7bP8yQiIiLloUMFoc65x83saeCvZtYDmA0cBxwEnFiqOUKDxm3ZhxkXfqPlC/+VR8f3oTx8p83p0qmSxSs38PsnP+ToXbdoWRcLQAF6dqnm5wdux7TPvkw5qX13f7suafaFrKmqoN4Pwrp0qows84+Td6O6sqIlCJ0wckDC/dVWR+8j7JS9hscFoTVVlXFfvoPjKQWDu/Ejo5vUZjNIyYSRA3j2gyU888EXgJdNPWvCNlz1TOvpXWojzs2fvrsjh+04OLKe4AW5AH395YN7dWZ0qHnlsL5dGda3a9yyhsZNL378yAHssVXfuCD0WztuzqfL1rJZj1rGbNGTv524a9qjIP/FvwESFYTG6lHK2M6MtDKhZtYhMqGVeXiNyZpet2WDAjejREREpHQ6VBDqOxK4DLgYry/oLOA459ydJa1VQLIvgFWVFS3NdE/ac1jSsmfs7zVJHX7eo0mPF5veoVtN4mDw2LFDuPONeYwe3IN7frQXP7/nHbp2qmTU5tH9VGP1euCMr/Lke4v53l7DE+473ViwurKCLp0qWbfRu1fQuVNl3Jfv5kA6cmCPWi745va8v3AVZ2fQNDmVmlYBs/HTA7blrAnbMHvJGr7+5xdb1tRWtT6fR+6yRdzzcHPeY3YbklW9tt2sG6/P9bo0R42aW1lhnP31Tedht+F9eO6cfRn/xxdS7vuwnbygOdnARPkIfLJVkXZzXIvMhI4b3qfl3LVV8c1xFYSGnf31bdm6fzcG9FAQKiIiUg46XBDqnFsDnOU/2rR0vyh+dURfXpm9POH6WBDapVP022HSt3bg2HFD2X/kAHYb1pva6kquOW7nVuWG9OnMvLr1cct2GtKLnYb0Slq/qO/ME/cazq2vzm15vvc2/QBoDKQ7O1dXxvXxCjeJ/cHe+e/XligQMzO2Gdid/9l3K/7+wqd8d7ctWjVp/PtJu7baLtwEOttM3bnf2I65y9axzcBubDOwe+oNiAqoWwuOJluuU7RUWJrNcYkOlrcf1J2t+nflzjfmFaB2xRF8+fnI9ra3Zss/mbBNqasgIiIiAR0uCO2I/nLszjzw9oK4pqx9unaizu+H2b3GCy6igtpfHDSSiV/dEoADR22W9Di3TBzHH5/6sFW2L5VgAPGH7+zIuOF9GNKnM/WNTcxesoZv7zSYQ/3sb3AO09rqyrhv38WY3bSmqoL/O2g7nvngC3p1qWafbfvFrf+/A0dy8OhBjNq8R6vALKrZcUWFMbBHDV+squenB2T/RblXl07c9oPdM9omnX5/jc2b+poOTJJFKu0ULcYvDhrJ6f95K2mpigqguXU9zYzT9tmq/QShefhTZJvZfupn+3DDi59y97T5uVdCRERE2i0FoR1Av241/GDvrejZuZqrnvmYXx+6PX261nDsP15jxyG96NHZextExRGZfBcdMaAbfz2xdbYvlWAA06drNUP96WJ+e2TrkXObQpnQ3bfs0/J83PA+rcrnm5mx7cDuvPDz/ehWU9Uqe1xZYQkzv9UJTuYDZ3yV6Z+vYPz2ifvNFkI6c2YG+9mGR/IdH+jnW8jWm8EbJlHM4ODRm7HNgG58vGRN4nIYlRHJX2/Aorbd/DRwr4DKDG4I7LhFT2bMX9lqebbNcbcZ0K0oN4NERESkbVMQ2oF8Z7chfCfQ5/DNC75Oj9qqpE0pi5HhCh6hc3Xyt2SvLtWs8Ef+ramq4Ksj+nHxYaNwDr62Tb+k2+ZTeGCgdFQl+GI/qGdnBo3JfO7OXCWaciWRcGDy5+/u1PJ7rs1xd9+yD2cdsA3H39B6gOpdhvaKGwU5zPzjj9uyT/IgNEGz3Qoz2ngMGpexzqQ5bqL3QLaZUDOjuVlhqIiIiCTXxr96SS76dO0UFxhFfe0sRivL4DESjbYbc8PJu1FbXcFBozZr+bJ98p7DOSXJwEfloqrMpr3IZfCZgT1q6BnoI5pJ9i3KmeO3Ya+to28ipLoRElufqgqJBiaqaAeZ0GALgUxuLiR6D+TSJ7Qpar6iJPbbrj+/PHhk1scTERGRtqdtf/OSvIpujlv4wCl4jFRfoMcO78Pbv/4Gfz1xl0JXq8VlR4wG4Bs7RE/1kq7qIgc6Q/okz65mE2jc86M9OXLnwfzr+/H9T3N9ackyb6neg7HVFnkbJb5cVJbQzEo6um8+BAfsSqeZdUyiIDSX89GUYSa0wqzdjcYrIiIiyak5rrQYHtHEtBjfzYMxRjpJlM4psqX5dsLuw9hjq74M7dMlp/0UOxN626m7848XP+WInQdHrs+mCe1uw/uwW0Tf256dE4+cm45kgyQdttPmPPHe4oTrW4LQLDOhZoWfYqZftxqWrakv2P6TZUKjRq2OSZgJTfL3qLD4vsJhzRH/xGYw9fwJjLvs2dbrSG+QLBEREWk/dPtZWhyx82AO22nzuGX5mO4hlf8dv2lU2GF9cwv0CmXr/t1yztYU+4v2sL5dueyIMZFBYyK9u1Qz86IDW54PCA1GlMh+2w5gn237M3Kz7ozbMvMBoqKCwCd/ug/PnrMvg3snz+jGgul0MqZR7+eKImRCC/1v1JQkE/p/B47knh/tGbldoimHkjVPTtV0OSoTWlNVkfBGhSkTKiIi0uEoEyotqior+MuxO/PZ8nVMn7cCKM78j4eOGUSX6kq26NOZrjXt9y1Z7l+0XzlvPL06V9O1por/2WcrHp6xkL+ftFta21ZUGP/6/jgAfvTvaRkfO+p9tt1m3nyn70aM3hp37DTfo0aCTCiFnxez0P9GDU2bBiYKZ0JXb2hkwvY9IrdLdGMk2fmoqACaEtclUJUWhiX8O1VY9v8bg3rWsmjlhqy2FRERkdJpv9/4JWv5nnMwlYoK44Ac+1uWq8oKa8kMJRodt1z06dKppanzLw/Znl8esn1W+6nOcNRdiG7CGZMqgIutTt0cN/HouIXOhKbqr5qrbrWbPsrDQejS1fUJ+4lm0yfUy4RGRJq+RM1xE+2xwiyr9wyU32BfIiIikp7y/lYsJVeMgYnas+CX/0TzhJaLfH2hz+Z1uiRBaP4GJrLI11hRhD6hhf43+sYOm7X8Hg44u9ZUJnx9iQYCS9UnNJmo5rixaXQi91cBnbJ87xV7sC8RERHJD2VCpZXg18Eyj5vKXqeqCtY3eG0Xy30E1nw1Sc0mmE020E26mdBU1a+ssOipZCzB8jL09R0G8vT7XwDwza8M4sqjvsKsxavZaUivljLhwPK4cUMTBoCJp2hJHNyl6icenQm1hH8fM8t6ipxy/58SERGRaLqNLEkVo09oezbS79cI5Z9VztffOpv+fQO71yZcl808odsN7N6qXG11RXTQ4lzCwCr498tFvv72Vx71Fc4/ZCTPnL0P1x2/C11rqth1WO+41xUMQvfYqk/SftaJ6pXohsTdP9oz5WuJDEJJ/P4yss/Cl3sTdxEREYmmK7i0EvyyWO6BU7n7w3d2ZLuB3Tlxj6H07tqp1NUpikyC0F5dqpn0rR0YmmRU5JRvwZYpWjYVjAo2a6qim6U2JWkKnK/BpJI1N85E766dOG2frRkxIHFwHBzxNthE+deH7sCOW/SMK5sokRh1no4dO4Sxw/sk3CYWsGczT2i2nzOa2kVERKRtUnNcSUqt3XIzpE8XnvzZPqWuRlFl0qx30rdGcXiCeUxjUu2uJRMaWBY10E1NVUVkQNvYlDhoqqo0BvfqzIIV0fNspivDuCwnwT6hwVaup35tS0792pYMP+/RlmWJYr/kfUJbr/vxfltz0h7DAGiOGrMoyd8wl8+YQo9qLCIiIoWhTKgkpT5XkqlMRjpNNiruJq3fg18JZPQ2jY67qVzU4Eg1CZrjNiaJEKsrKrjztD34n322ontt9vfskmVb861TgkxozG+PHAPA7lv2SdhEtjJZn9CIbU7aYxib9/Lmc416rck+RXJpbaHmuCIiIm2TruCSlPqESqYyGR03nQxh1O6G9OkSWN+6T2hUsFlbnaA5bpJKVFUaQ/p04ZeHbM/2g6Ln2kxHQ9TkmQUS7N8a9e977NghPHLm17j1e+MSBodJ5wmNWBUsn2hgokTMjGxDdDXHFRERaZsUhEorGh1XcpFJP8p0+kpGBTDB7NmmKVo2iZp6pKaqInIU3GQBYjBozeVfIVmT37xLcSgzY/Tgnt6csBn0CQ1un6x8c0RQ//2vbplkf0kqm0KyjK1kzszGm9nNZjbLzNaa2QIze9DMdi113UREpH1Rn1BJSgMTSaYyaSKZTivVqHgouKwlCA0si8rkdaqsiJwKJFkmNBhQ5/KvsDGLTOjFh43i1lfm8umytRlt5wJRaMo5VhNEoVGb7bddf2+fEX/e4HkNNm++5LBRVFQYR++6RcI6VBgM6pl4dORkUvUJHdyrM1ccNSarfXdQPwb6An8B3gf6A+cAU8zsQOfcc6WsnIiItB+6jSytBL+AKhPavhViYJdMmki6UNpufz/QCQ6uExUoxWc0vd8rUoyOa2aRAVSyPqH5Oj+NWQShJ+w+jOfO3Y9DxmxGZYVx48m7pbVdMLBPFTin+/K+vsNADhy1mb9NRGY6cF7PmrBNy+9H7boFJ+w+jJqqyiR1MLYd2J2fH7gd391tCw4Zs1l6lUpQl6D7T9+Lvbfpn/b+hDOcc+Odc391zr3gnLsH+DqwHDi/xHUTEZF2RJlQSUp9Qtu3B874Kr97YhbHjxuat31m0hw3HP9ddczOPDRjAftuO6BlWdRbMH4aIX9ZgvVBOWVCc2iQm83ouLHXdd3xu7ByfQO9uqQ3xU9wXtDYYEGJpPvvffKew1rOaVST5uB5/foOA7nztD0Y1LOWLp1SX2Ji+z1j/xEAnH3X9PQqBaR6q+nzKzPOuSURy9aY2fvAkBJUSURE2ikFodJK8Mu2muO2b6MH9+Tfp+6e130mm94jLDyITc8u1Zy05/C4ZVFvwajmuMGCiWqQcSa0hAPfxAIoM0s7AAVv1NsJIwcw78t1/Pwb2yU/RpqBdbBc1N8jru+sGXts1Te9ykbtL4NTHnVTIUgtOXJnZj2BXQA1xRURkbxRECpJ6UucZKo6g8Fi0usTmnwgnKh5QhPOfxmZCU3cVDZYvq3cjzEzbpo4Ns2y0cvD2ezg50DU3yOXZsvhLTO58VWR4ri6iZYX1wFdgcuSFTKzAXh9SIO2LlSlRESkbVOfUGktxRdOkWSqqzLoE5pGFBrdB7F11jNuxNwE6bTKCmvpdxrT4I9c+6fv7tiqfLB/a3v8V6itbt1Xc//t+rNVv67xC1N8JqQKBjORya5SBb/5rFdHZGaXACcAP3POTUtR/HRgZujxYGFrKCIibZWCUEmqPX7xlsJK1UQyKJ2+kpHNP+OmaGk9T2gyN08cy9XH7dzyPNYndHBE/8lgc9xc+oSGHb/7UKb/5ut521+2Tt5zWNzzK44cwy3fG9eqL2XUlDj5Et5fJuc51U0yxaDZM7MLgQuAXznnrk1jk+uB0aHHYYWroYiItGVqjiutxM8Tqm9xkpmoOToTCfcJjZJun9B0Aw4zo0ftpo++WJ/QqKxZIZvjZtLPs1C611Zz+E6b88D0hUDi11jIz4RWTX8zuDWaMhOqz6+s+AHoJGCSc+7ydLbxBzWKG9hIA0OJiEgiyoRKUvoSJ5mKauKZSDp9QqMyYweNHtTye2wOyspA9NIU2vH/+iOvxsTNa+lPnxIVz2Qy3Uxb1bvrpmA40VQqwWAiavqbXISPefy4YQlKtqY+oflnZr/GC0Avdc5dVOLqiIhIO6VMqLSieUIlFzV5zoRGvQe37NeVR878GvWNzYzavCcQHzA2h9r5nvONbeOeB5vZxjKhUVmbqgymm2mrfjJ+Gx59ZxHda6s4ZMygyDIVBfxMCL9fxmzRk/tO34vaqkoOufqlpNum+vNkklUVMLNzgIuBJ4BHzWyP4Hrn3JSSVExERNodBaEikleZBKHpZE2jgsPKCmP04J5xy4JNM8OZ0PA+gk1AY8FrVNasOjT1SL7E9nTlUV/h/+59J2/7zUbvrp145bzxVJglzHIGX3r4PNx0ym45Hb+muvX7ZZehvdPaNvUULbqLlqFv+T8P8h9hOqEiIpIXRb1PbGbjzexmM5tlZmvNbIGZPWhmu0aUvdXMXMRjVoJ9n+nvt97M5pjZhWZWHVFugL/vZWa2zsxeM7MJhXi9bVU+B2CRjidRk86Y8SMHMKRPZ7bu37WlKW0yUXFRVF/AYNayKcWIRzsN6cWIAd2oqargom+PSniczp023afL539FLDY6YpfBedxr9qorK5I2sw0GnsFiZ44fwYTtB+Z07E45ZJtTD0ykz7JMOOf2c85Zokep6yciIu1HsTOhPwb6An8B3sebU+wcYIqZHeicC0+GvR4YH7Esjpn9CrgEuAJ4ChgLXAoMBk4LlKsBngV6AWfhDaJwBvCEmR3gnHshx9fX7qTRZU8kTm1EZiuoS6dKnj93f4z0ptCIuilSGdFXM9gcN1UQWllhPH7W3qyrb6JnF+9eVVTA0rNzq/tYeVXZRoKkRLXMR//Qmgz6EIdVpeizq+4EIiIi5anYQegZ/gh6LczsCWA2cD4QDkKbU/VBMbO+eMPI3+CcO99f/LyfBb3UzK5yzr3vLz8Vb9j4vZxzr/nbTwZmAFcCu2f/0kQEUgcVjsyCF4uIaSMzoRXpZ0LBy/717JJ89NtgEJrPeHHbgd0BLwjfbVhv3vzsy/ztvACCAXrwzOYjiK4pYCZUo7OKiIiUp6I2xw0HoP6yNXhZ0SFZ7vYgoBa4JbT8Frwb+IcHlh0BfBgLQP3jNwK3AePMrDzaxom0YZn0CU1HVBgRFcRWZZAJjRK1z15dAkFoxnvc5NbvjaWPPwrtUbtswfHjhrasu+O0PRJtVjYSxXLpZLJTieoTmq4OMG6UiIhIu1TyS7iZ9QR2Ad6LWN3ZzBabWZOZzTeza82sT6jMaP/nu8GFzrlFwLLA+ljZqFFAYstGZfwC2iElDyQX4SB0wsgB/GR8YIqUDOPDqGxX1IA0wcGGwgMTZXucRM1xf3XI9hnte7/tBjDtggOYe8U3+eN3d4zrvxqeJ7McBZtEB09tPprj5tIntFLD34qIiLRJ5TA67nVAV+Cy0PIZ/mOm/3xf4GfABDMb62dQwetjWu+cWxux7zp/PYGydQnKESobx8wG4PVhDdo6Ufn2Iovv8tLBhQcmumniWO6ZNr/lucswCo26KZJqsKLwFC3piNpn99rAwESBimzVv2vG+2/LTUODVQ+e2ahm0ZnKKRPahs+piIhIR5Z1EGpm+wGT0yy+s3NuesQ+LgFOAM50zk0LrnPO/TlU/Gkzexu4B/ghEFyf7BtneF0mZYNOBy5Msr7d0Pc6yUV1xGAxubylojKUUQFdMKPYmEUQGrXP7rXRmdCOdnMmLggNvPh8jD6bajTloBd/vj/7/H7TZSfVwEQiIiJSnnLJhH6IFwym4/PwAjO7EG9AoV85565Ncz/3A2uBYCeq5UCtmXVxzq0Lle8DTAuVjcp2xpr4RmVJY64H7g4t2xp4MFWl27JMs1YiUcFcsNVkoQK4XPuEhgOq0YN70DtBn9CO9l8RNzBRnpvjZtKHuFtt/CVLU7CIiIi0TVkHoX6fyxuz2dYPQCcBk5xzl2e6OdAceB7rCzoGmBo4xmZAPzY1542VHROxz9iymRHrgJZBlcIj+6Zd6bZE84RKvuUSLIS33XOr6FbzwX6izVn1CY1/fu+P94r7H2+n/+5piW+OG8iE5iEI7VqT/mUofLR8NAcWERGR4iv6qA5m9mu8APRS59xFGW5+NNAFCE7b8gSwAZgYKjsRL2HxQGDZ/cBIM2uZisXMqoATganOuYUZ1qfd62jNDqUwLEEmLR3hOOPnB20XWS6TeUKjjxN/oNbNRIOvoWP9YyS6iZBLn8zNetSy/3b9GblZ96zrkY8gWERERIqvqAMTmdk5wMV4geOjZhY3N0FsTlAzGwbcDtyJN4eowxuY6Kd4o+jeGNimzswuBS4xszrgKWAsXqB7Y2COUICbgTOAu83sPLzM5unAdsABeX65IuLLJVQItzhItK/giLPZBKGp4qng+nR2P3Z4b95dsJKbTxmbcV3KTVxT5MBrzyUT+ep54zMPIkPF1SVURESkbSr26Ljf8n8e5D/CYl8pVgFfAGcDA4FK4DPgauDy8Ei4zrnLzGw1XoB5LrAYuILQiLvOuXozmwBcCVyDl1WdDhzsnHsh1xfXXiQaCVMkXZcdMZpbXpnLpYd7MyTF9SnM8F0VjlMSNYMPBkT5mqIl7rgZ7GvU5j24+0d7Ud/YlNHAO+UqUQCeSyYym23Dm1S2geltREREpLWiBqHOuf3SLPclcGSG+74aL0hNVe4L4JRM9i0imTlh92GcsPuwlufB4CHT+DDdTGhwdNzm5gSFksis32ryFzFh5AAgs5Ffy1l8c+pNr73YMWD4vRC88dCnaye+s9sW/P2FT4tbKREREcmYbiNLKxP3Gt7y++jNe5SuItJuxAUxOe8renlwdNzGLKLQVIk5yySQbmejGCV6NcUenbZVJjSwoFfnan558PZFrY+IiIhkp9jNcaUNGD9yALd8byz9u9XQt1tNqasj7UA+Y5VEozdXV8T3CT15z2H867XP2H+7/untN2Vz3PRfRPsKQQs7RUsylRUW1783HPTGDUbVwQaLEhERacsUhEorZsb+2w0odTWknco1VkgnE9rU7Pj1oTvwzTGD2HFIr7T2m0k8VchwZ9zwPpy695YFPELmEk3RUugpUirNaEpytoPT8jQ2KQgVERFpKxSEikjBxYcquQUL6TXHdVRXVrB7gjlFo6QcmCiDeCuXzO8dp+1R8AxjphJlQgvdHLeiAmhKfLxgJjSbuWFFRESkNNQnVEQKLpd5QlvtK43muM15mCc0mVSvIZOmu63rkfWmRRF86QVvjhselKpVn9DcpuURERGR0lAQKiJtSlrNcbOIdC3Fp2GiJqkA47bsk7BsxvUow0GN4gdlCvTRLHAQGt5/+EZBlTKhIiIibZKCUBEpuGDoUKjRcYNTtGSTFUs9T2ji9eE15RdG5qYiwejG4UxlvoUzreGjhQejEhERkbZBQaiIFFyiTFpW+0rUHDcQhA7p3SXj/aZM6iWZoiUcwJZhMjMniaanKfTARIN7dU5YD2jdDxjgWztuDsCwvpm/B0RERKQ4FISKSMHlMyhLFPdUVhgn7D6UQT1ruf7EXbLYb6pM6CbhMLoi9Elajk1qcxE/MFHxmuP+5did456Hz2vcwER+EPq7o8ZwzXE7c++P9ypo3URERCR7Gh1XRIqqUM1xAS47YgzOuayCwFSbWIJADFoHsId+ZVDGxy9niU5NoQcmGjGgGx9cfBD3vT2fHbfoFXH8QHNc/2/SpVNVSzZUREREypOCUBEpuGAT2tzHj0k1lUp2gVG+phs5ZMxmDOvbNS/7KheWoE9ooadoAejcqZITdh8WuS7YHLi5ueBVERERkTxRc1wRKbw8xiqFintSDbIT1xw3FEgHg7SRm/XIY63KQ6n6hKYSNxiVRscVERFpM5QJFZE2pVBhT+rmuInXVSQI0tqL4EsPToVS6Oa4qcRNy6PRcUWkhFaua+CxmYtYurqe/t1rOGT0IHp2qS51tUTKloJQESmq3PuEFibwyWS/4XlC29cwRK3FD0wUvbxYLvjm9lz66Af8ZPyIuClaRERKwTnHNc/N5rrJs6lv3NQvYNJD73HG/iM4c/yIdjdYnUg+KAgVkYKLb8qa6xQtpZFuc9xwgNoeJPr+lGkmdPTgHsxcsIpxW/bJui4/2HsrjtplC3p37cSCFeuz3o+ISD5c89xs/vT0R62W1zc2tyz/yYRtil0tkbKnIFRECi6fd4FLkX0D2Lp/t5bfB3SvjVvX7pvjJjjnlRkmIv/1/d15/sMlTBg5MKf69O7aCYDqEjcHFpGObeW6Bq6dPDtpmesmz+aUPYeraa5IiIJQESm4fIYKpWrV9MN9tmLmwpX06VrDV0f0DdWpfQdD8QMTBfuEZhaF9unaiSN32SJf1aIq0yhYRCSPHpu5iI2NyYfmrm9s5vGZizh23NAi1UqkbVAQKiJF1VYzhbXVlfz9pN0i18VlQotUn2IKZp+D4/+kGlG40IIDE4mIFNvS1fV5LSfSkeg2sogUXFwmLccwrRyTjpZjrveHe28JQG11eX4kx/WHDfz9Sj0ukAYmEpFS6t+9Jq/lRDoSZUJFpOByDdLi9lWGUaglG7UoDeceuB27DO3NTkN75a1O+ZRontBST9FS6uOLSMd2yOhBTHrovbhRccNqqio4ePSgItZKpG3QbWQRKapcm+OWY9gRN4VJFtvXVFVy8JhBDOrZOX+VyqNEr69Ug0TFVKs5roiUUM8u1Zyx/4ikZc7Yf4QGJRKJoEyoiBRcokxaNkod+EQqwyoVSvDvV+qXXY5ZcRHpWM4c7wWh4XlCa6oqWuYJFZHWlAkVkYJL1Kcwq32VYdwRlylshyMTxQf+ZRSFioiUmJnxkwnb8Pr5B7Blvy4AbNmvC6+ffwA/mbCNbpaJJKAgVEQKL4/X4HK8nFfkceClcpQok53Pvr4iIm1Zzy7VLXNID+heqya4IikoCBWRoso5U1iGcU8ZVimvgq9vi96b+q2WU5/McVv2KXUVREREJE0KQkWk4IIZs9xj0MIHPt1rMusu35Ga4/7pmJ0Y3Ksz39l1C3p16VTCWnn++f1xnLTHMK4+dudSV0VERETSpIGJRKTgEnUpzHlfefb7o7/C3dPmM+lbozLbsHwSggURPOdb9+/Gy7/Yv2z6Oe27bX/23bZ/qashIiIiGVAQKiJtSiFHx/3ObkP4zm5DMt4u1ylayl044CyXAFRERETaJjXHFZE2pRzDn4oEA/eIiIiISGtFDULNbD8zcwkee0SU38XMnjGzNWa2wszuM7OtEuz7TDObZWb1ZjbHzC40s1ZDk5nZADO71cyWmdk6M3vNzCYU4vWKiKdT1aaPmu61uTXAKMcknEaJlfbAzLqb2ZVm9pSZLfWvzZNKXS8REWl/StUc93xgcmjZzOATMxsJPA9MB74L1AIXAy+Z2U7OuaWBsr8CLgGuAJ4CxgKXAoOB0wLlaoBngV7AWcAS4AzgCTM7wDn3Qr5eoIhsstMWvdhlaC/mLl/HpG9n2N8ypBwDPmvnU7RIh9EX75o5A3gA+EEpK7NyXQOPzVzE0tX19O9ewyGjB2naCxGRdqJUQejHzrkpKcpcDNQDhzrnVgGY2TTgY+Bc4Bf+sr7ABcANzrnz/W2f97Ogl5rZVc659/3lpwKjgb2cc6/520/Gu+BeCeyerxcoIptUVBj3/ngvGppcXFY0K+UXg8b3kVQMKm3XZ0Bv55wzs36UKAh1znHNc7O5bvJs6hubW5ZPeug9zth/BGeOH6F+ySIibVxZ9gk1syrgUODeWAAK4Jz7DC+DekSg+EF4WdJbQru5Be/r6uGBZUcAH8YCUH+fjcBtwDgzG5zHlyEiAWaWewBKmTbHVQwq7YDzlboe1zw3mz89/VFcAApQ39jMn57+iGuem12imomISL6UKgi9zswazWyVmT1pZl8Lrd8a6Ay8E7HtO8AIM6v1n4/2f74bLOScWwQsC6yPlU20T4CE7QT9vqSjgg+/niJSRIUcHTdbFeVXJZE2aeW6Bq6dnDzIvG7ybFauayhSjUREpBCK3Rx3JfAXvL6ey4ERwM/xms9+0zn3pF+ur/+zLmIfdXgZzt7AIr9svXNubYKyfQPP+ybZJ6GyYacDFyZZLyJFUI7xXjn2UxUpJjMbAIQnbM34Ru1jMxexMZQBDatvbObxmYs4dtzQTHcvIiJlIusg1Mz2o/XgQons7Jyb7px7G3g7sPwlM7sfL4t5JfBkaLtkzYJcgt+Tlcu0bND1wN2hZVsDDybZRkTyrAwToaEpWkremlGkFPJyo3bp6vq8lhMRkfKUSyb0Q+CHaZb9PNEK59wKM3sE+JGZdXbOrcfLkkJ0ZrIPXrC4wn++HKg1sy7OuXURZacFni9Psk+IzpLG6rkEbzTdFhoYQaT4yjHrGPwsUAwqHVRebtT2716T13IiIlKesg5C/T6XN+apHrFvcLGvb58A64ExEWXHALOdcxv85+8Glk9t2aHZZkA/4qd+eTfJPgmVFZEyVI73fsqxTiLFlK8btYeMHsSkh95rNShRUE1VBQePHpTxvkVEpHyUfHRcM+uNNxLu9Fhg6Y9Y+zBwpJl1D5QdCuwP3BfYxRPABmBiaNcT8YLaBwLL7gdGmlnLVCz+SLwnAlOdcwvz8qJEJK/KfeCfYHZWiVCR7PXsUs0Z+49IWuaM/UdovlARkTauqAMTmdnteE1z38QbuXYb4BxgIK2DyAuBN4BHzOwKvGlYLva3+2OskHOuzswuBS4xszrgKWAsMAm4MTBHKMDNwBnA3WZ2Ht5d29OB7YAD8vlaRSR/Ksxo9tu5lmPWMb5PaOnqIZIrMzsY6ArEbgDvYGZH+78/FtHtJe/OHO8FoeF5QmuqKlrmCRURkbat2KPjvgMcA/wI6IbXB/Nl4CTn3BvBgs65Wf7gR78D7gEageeAc51zS0NlLzOz1XgB5rnAYuAK4LJQuXozm4A3CNI1QBdgOnCwc+6FfL5QEcmf/t1rWLTSa4FfjkFeRUUwE1qGFRRJ31+BYYHn3/EfAFsCcwtdATPjJxO24ZQ9h3P49S8zZ9k6tuzXhQdO/5oyoCIi7URRg1Dn3BV4wWG65aeRZobSOXc1cHUa5b4ATkm3DiJSev84aTeOv2EKXx3Rj9rqylJXp5UyTM6KZMU5N7zUdYjp2aWaAd1rmbNsHQO61yoAFRFpR4qdCRURydiYLXoy7ddfp1NVybuxR1MUKiIiIpK2Mv1GJyISr2wDULw+qzHl2FxYREREpJyU77c6EZE2otxH7xUREREpJwpCRURyFJ8JVSpUREREJBkFoSIiOVIiVERERCR9CkJFRHJkwUxoCeshIiIi0hYoCBURyVEgBm03AxNN3Gs4AIN7dS5tRURERKTd0RQtIiI5GtqnS8vvIwZ0K2FN8ueXh4zkayP6sfPQXqWuioiIiLQzCkJFRHI0fuQAJu41nNUbGjlh96Glrk5e1FRVcsAOA0tdDREREWmHFISKiOTIMCZ9e1SpqyEiIiLSJqhPqIhIrjQ8roiIiEjaFISKiOTIFISKiIiIpE1BqIhIjhSDioiIiKRPQaiISI5MqVARERGRtCkIFRHJkUJQERERkfQpCBURyZESoSIiIiLpUxAqIpIjUy5UREREJG0KQkVERERERKRoFISKiORIzXFFRERE0qcgVERERERERIqmqtQVEBFp65QJFRHpeFaua+CxmYtYurqe/t1raGxqLnWVRNoMBaEiIjnSwEQiIh2Hc45rnpvNdZNnU9+4KfCM3ZB0zpWoZiJth4JQEZEcKRMqItJxXPPcbP709Eetlsdiz4UrNhS5RiJtj/qEiojkSDGoiEjHsHJdA9dOnp20zIKV61m5rqFINRJpmxSEiojkyJQKFRHpEB6buYiNjcn7fjoHj89cVKQaibRNCkJFRHKkEFREpGNYuro+r+VEOioFoSIiIiIiaejfvSav5UQ6KgWhIiI5UmtcEZGO4ZDRg6ipSv712QwOHj2oSDUSaZsUhIqI5Eh9QkVEOoaeXao5Y/8RScsM7tmZnl2qi1QjkbapqEGomd1qZi7JY480ys5KsO8zzWyWmdWb2Rwzu9DMWn0CmNkAf9/LzGydmb1mZhMK+bpFREREpO1bua6Bft06sdfWfamqiL8BGbsfuXmv2hLUTKRtKfY8oZcAf4tY/jBQD7wRWr4eGB+xLI6Z/crf9xXAU8BY4FJgMHBaoFwN8CzQCzgLWAKcATxhZgc4517I+BWJiIiISLvmnOOa52Zz3eTZ1EeMjju8bxf6du3EtM9XqHWMSBqKGoQ65z4BPgkuM7N9gX7Apc65ptAmzc65Kcn2aWZ9gQuAG5xz5/uLn/ezoJea2VXOuff95acCo4G9nHOv+dtPBmYAVwK7Z//qRERERKQ9uua52fzp6Y8Srm9sclRVqpebSLrK4b/lVMABN2e5/UFALXBLaPkteDMnHB5YdgTwYSwABXDONQK3AePMbHCWdRARERGRdmjlugaunTw7aZkFK9fT2JR8/lAR2aTYzXHjmFlP4GjgWefcnIginc1sMdAfWAQ8APzGOVcXKDPa//lucEPn3CIzWxZYHyv7UsRx3vF/jgIWJKjrAL8eQVtHlRURERGR9uGxmYvYGNEEN8g5mFu3rkg1Emn7ShqEAscBnYGbItbN8B8z/ef7Aj8DJpjZWOfcGn95X6DeObc2Yh91/noCZesSlCNUNux04MIk60VERESknVm6uj6tcsvXbARgwZfrcc6pb6hIElk3xzWz/VKMdBt87JRgN6cCy4H7wyucc3/2H0/7jwuAk4GRwA/DxZNUNbwuk7JB1+NlUoOPw5KUF5F27KZTdgNgz62S3bsSEZG2rn/3mozKz1+xnmueS958V6SjyyUT+iGtg8FEPg8vMLOvALsBf3HOpXeLyQtW1wJ7BJYtB2rNrItzLtwOog8wLVQ26htjH/9nVJYUAOfcErzRdFvoDpdIxzVh+4G8et74jL+ciIhI+Vu5roHHZi5i6ep6GlI0xY1y3eTZnLLncM0XKpJA1kGoc24RcGMOxz7V/5npPgwIfhrE+oKOAaa2FDLbDG/U3ZmhsmMi9hlbNjNinYhIpM17dS51FUQkIBg49O9ewyGjB+U9CCjGMYpVn454vpJZua6BR99dyCPvLOL1OXU0NidrIJdcfWMzj89cxLHjhuaxhiLtR0n6hPrzdZ4IvO6cyyTwOxroAgSnbXkC2ABMJBCE+s8d3mBGMfcD15vZ7s65qX5dqvy6THXOLczohYiIiEjJxAKcJas28O6Clbz08bK4ORzPv/9dtuzblRP2GMrRuwxJGPykEyglmidy0kPvccb+Izhz/Ii0WkjFjjWvbh2LVm5gUM9ahvTpknFwlqo+J+85jMdnLo58TYm2/fUDMzltn634+YHbZdTaK+r89ehcldfzlW0Qm2r7fAaeYen2JRXpiMy5/P2zpX1Qs2OAO4HTnHM3RKwfBtzul5mNF0zuC/wUb57R3YMDEZnZr4BLgN8CTwFjgUuBfznnTguUq8FrntsDOA+vee3pwLeAA5xzL2T4OkYBM2fOnMmoUaMy2VRERNqY9957j9GjRwOMds69V+r6lLt8XCOP+ftrTJ1Tx5Z9u3DwmEF8tnwdK9ZtZPmaetZtbGL+ivWkGzOYwW5De7FF7y4M6tWZIX26cPCozfjXlM9aBUrVFTBiQHd6dalms56dOfuAbbl/+oKk80SOG96b/t1rWVvfSFWlsdfW/Thqly1aBX7XPvcxG5taV9qAgT1qGNqnC4N7d+HsA7ZlSN8uCY939bMfJ61PZYXRFDg5NVUVLcFfqjkv99q6L//5we6sWt/IvW/N55kPFvPp0rXUVlcyevOe/OKgkQzp24UVazfy07um8+LHS+P+DpUVxrA+Xfh0WdSYkZ6zv74tp+w5PGGAmChQDr6OWBC7cl0D9741n1c/WebXvx9H7jyYf7z0Kf948dO4wLIC6NutE91qqqioMOYuXxd3nvLpiiPHKBMqHUI218dSBaFPAXsBg5xzqyPW98YbMXdnYCBQCXyGl8m83Dm3MmKbnwBnAMOBxXjzhF7mnGsIlRsIXAkcipdVnQ782jn3TBavQ0GoiEgHoSA0M7leI51z7P27ycxfsT7/lfOFA7VkjOSjF0apMBg/cgBjBvfk3QUreeaDJak3Chjcq5bvf3VLzIw19Y0tgRrA2MufSTltSJS9tu7D1Dlfpnzdm/esYeHKxJm8HrWVrNrQlPHxYwyoMKPJtQ6UT95zGOfePSPp+Ro3vDcHjtqMFz9ayouzl1GCr7NJ1VRV8Pr5B5Rt02ORfGozQWh7oSBURKTjUBCamVyvkakyfR1VTVUFe2/TL+OAVorr7K9vy08mbFPqaogURTbXx6ynaBEREZH2xcy6mdlVZrbQzDaY2XQzO7bY9Vi5roFrnvu42IdtE+obmxWAlrketVWcOX5EqashUtZKMjCRiIiIlKX78MZVOA/4CDgeuMPMKpxztxerEo++u5CGiH6TIm3B6vpGVq1vVFNckSSUCRURERHM7BDg68Dpzrm/O+cmO+d+CDwN/N7MKotVl+uem12sQ4nknXPw+MxFpa6GSFlTECoiIiIARwBrgLtDy28BNgd2L0Yl5i1fx4KVG4pxKJGCWbJK72GRZNQcNzedAGbP1h1bEZH2LvBZ36mU9Sig0cAHzrnG0PJ3AutfjdrQzAYA/UOLRwL8z7WP0G3A9LQr8XndOjaua0hdUKSMXf/AAh576Y1SV0OkKNYsmR/7Ne3ro4LQ3AwBOPzww0tcDRERKaIhwNulrkQB9AU+jVheF1ifyOnAhVErXvnbeTlWS6TtWQR8WOpKiBRf2tdHBaG5eQE4DJgHbMxyH1sDD/r7+SRP9ZL06NyXjs596ejcZ68T3gX2hVJXpICSjQaUbN31tG7G2w3YFpiJrpFtkc596ejcl4bOe/Yyvj4qCM2Bc24l8FAu+zCz2K+faN654tK5Lx2d+9LRuc9Ze8yAxiwnOtvZx/9ZF7EOAOfcEiBq3pCpuVRI79fS0bkvHZ370tB5z1lG10cNTCQiIiIA7wLbm1n4BvUY/+fMItdHRETaKQWhIiIiAnA/XhPao0LLTwEWkmNWU0REJEbNcUVERATn3ONm9jTwVzPrAcwGjgMOAk50zjWVtIIiItJuKAgtvaXARf5PKS6d+9LRuS8dnXtJ5kjgMuBivL6gs4DjnHN3lqg+er+Wjs596ejcl4bOexGZc8kGuxMRERERERHJH/UJFRERERERkaJRECoiIiIiIiJFoyBUREREREREikZBqIiIiIiIiBSNgtASMbNuZnaVmS00sw1mNt3Mji11vdoqMxtvZjeb2SwzW2tmC8zsQTPbNaLsLmb2jJmtMbMVZnafmW2VYL9n+vusN7M5ZnahmVUX/hW1XWb2AzNzZrYmYp3OfZ6Z2dfM7DEz+9LM1pvZx2b261AZnXdpU3SNzB9dH8uHro/FpetjeVMQWjr34U0AfhFwMPAGcIeZHV/SWrVdPwaGA38BDgHOAgYAU8xsfKyQmY0Engc6Ad8Fvg9sC7xkZv2DOzSzX/n7uw84ELgeOB+4rrAvpe0ys8HAH/Amtg+v07nPM//z4gVgJXAy3nv/d4AFyui8S1uka2T+6PpYBnR9LC5dH9sA55weRX7g/SM4vLnXgsufAhYAlaWuY1t7AAMilnUDFgPPBJb9F2/+px6BZcOAjcDvAsv6AuuBv4f2eT7QDOxQ6tdcjg/gYeAh4FZgTWidzn1+z/VgYA1wfYpyOu96tKmHrpF5P5+6PpbBQ9fHop5rXR/bwEOZ0NI4Au+f4+7Q8luAzYHdi16jNs45tyRi2RrgfWAIgJlVAYcC9zrnVgXKfQZMxvu7xBwE1OL9TYJuwbuLdngeq98umNmJwL7A6RHrdO7z7wdAV7w7u5F03qWN0jUyj3R9LD1dH4tO18c2QEFoaYwGPnDONYaWvxNYLzkys57ALsB7/qKtgc5sOs9B7wAjzKzWfx77G7wbLOScWwQsQ3+jOGY2ALgKOM85Nz+iiM59/u0D1AEj/f5yjWa2xMz+ZmY9/DI679IW6RpZYLo+Fo+ujyWh62MboCC0NPri/XOE1QXWS+6uw7sTdpn/PHZeE517A3oHytY759YmKKu/UbzrgQ+BvyZYr3Off4OBLnjZoruAA4Df4/V9eczMDJ13aZt0jSw8XR+LR9fH4tP1sQ2oKnUFOjCX5TpJg5ldApwAnOmcmxZane65198oDWZ2FPAtYGfnd5JIQuc+fyrwmgdd5Jy7wl/2vJltxLvrPgFY5y/XeZe2Ru/FAtH1sXh0fSwZXR/bAGVCS2M50XdN+vg/o+7KSJrM7ELgAuBXzrlrA6uW+z8TnXsHrAiUrTWzLgnK6m+EN40C3h31a4CFZtbLzHrhjTSH/7wrOveFEDunT4aWP+7/3AWdd2mbdI0sEF0fi0fXx5LS9bENUBBaGu8C2/udooPG+D9nFrk+7YZ/gZ0ETHLOXR5a/Qne6GZjwtv5y2Y75zb4z98NLA/ufzOgH/obxfQDBgLnAF8GHsfhNfX6EvgPOveFENWPBTYNP9+Mzru0TbpGFoCuj0Wn62Pp6PrYBigILY378YZHPyq0/BS8+aOmFr1G7YA/AfEk4FLn3EXh9f4gFw8DR5pZ98B2Q4H98eZ+inkC2ABMDO1mIt7dsQfyV/M2bTHeuQs/nsQ7f/sDF+jcF8S9/s+DQ8sP8X9O0XmXNkrXyDzT9bEkdH0sHV0f24JSzxHTUR94853VAT/Ee7P/A++NfEKp69YWH3h3Gh1eU4s9wo9AuZHAarwJjA/GG4L7Xby55/qH9vkrvLtll+ENrX4u3ofQP0r9esv9QfQ8aDr3+T/PD/nn5QK8gRfOw7uz+7DOux5t+aFrZF7Ppa6PZfTQ9bFo51nXxzJ/lLwCHfWBd5f3L8AioB6YARxb6nq11QfwvH+RjXyEyu4KPAOsBVbi3XXfOsF+f4I3ql098BneneTqUr/ecn9EXWR17gtynjsDVwCfAw3+ebocqNF516MtP3SNzOu51PWxjB66PhbtPOv6WOYP80+qiIiIiIiISMGpT6iIiIiIiIgUjYJQERERERERKRoFoSIiIiIiIlI0CkJFRERERESkaBSEioiIiIiISNEoCBUREREREZGiURAqIiIiIiIiRaMgVERERERERIpGQaiIiIiIiIgUjYJQERERERERKRoFoSIiIiIiIlI0CkJFRERERESkaBSEioiIiIiISNEoCBUREREREZGi+X/oNm94RNSFXQAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# PACF plot of 1st differenced series\n", | |
| "plt.rcParams.update({'figure.figsize':(9,3), 'figure.dpi':120})\n", | |
| "\n", | |
| "fig, axes = plt.subplots(1, 2, sharex=True)\n", | |
| "axes[0].plot(prices_data_for_arima_df['Close'].diff().values); axes[0].set_title('1st Differencing')\n", | |
| "axes[1].set(ylim=(0,5))\n", | |
| "plot_pacf(prices_data_for_arima_df['Close'].diff().dropna().values, ax=axes[1], lags=len(prices_data_for_arima_df['Close'].diff().values)/2-1)\n", | |
| "\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "b0ce8dfd-2d90-46b1-b402-f73393e38f5b", | |
| "metadata": {}, | |
| "source": [ | |
| "fix the p as 1" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "98c765a0-94e8-401b-b1da-ac61a1e442b9", | |
| "metadata": {}, | |
| "source": [ | |
| "## MA term (q)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 118, | |
| "id": "034bded2-b721-43a0-8f66-ab6e5fd057af", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, axes = plt.subplots(1, 2, sharex=True)\n", | |
| "axes[0].plot(prices_data_for_arima_df['Close'].diff().values); axes[0].set_title('1st Differencing')\n", | |
| "axes[1].set(ylim=(0,1.2))\n", | |
| "plot_acf(prices_data_for_arima_df['Close'].diff().dropna().values, ax=axes[1], lags=len(prices_data_for_arima_df['Close'].diff().values)-2)\n", | |
| "\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "42b9ca0f-87e4-4e06-85da-4ce2b2a2e86f", | |
| "metadata": {}, | |
| "source": [ | |
| "fix q as 1" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "43cedfcb-5385-45f9-85f6-4abcc5f5c5dd", | |
| "metadata": {}, | |
| "source": [ | |
| "## ARIMA Model" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 136, | |
| "id": "b5e827cc-eea1-469e-9f24-1a3f53e6c4e0", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from statsmodels.tsa.arima_model import ARIMA" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 242, | |
| "id": "00f12d42-2b31-4a70-bd0d-64043b09bf63", | |
| "metadata": { | |
| "tags": [] | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/arima_model.py:472: FutureWarning: \n", | |
| "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n", | |
| "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n", | |
| "between arima and model) and\n", | |
| "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n", | |
| "\n", | |
| "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n", | |
| "is both well tested and maintained.\n", | |
| "\n", | |
| "To silence this warning and continue using ARMA and ARIMA until they are\n", | |
| "removed, use:\n", | |
| "\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n", | |
| " FutureWarning)\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n", | |
| " FutureWarning)\n", | |
| "\n", | |
| " warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n", | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/arima_model.py:472: FutureWarning: \n", | |
| "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n", | |
| "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n", | |
| "between arima and model) and\n", | |
| "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n", | |
| "\n", | |
| "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n", | |
| "is both well tested and maintained.\n", | |
| "\n", | |
| "To silence this warning and continue using ARMA and ARIMA until they are\n", | |
| "removed, use:\n", | |
| "\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n", | |
| " FutureWarning)\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n", | |
| " FutureWarning)\n", | |
| "\n", | |
| " warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| " ARIMA Model Results \n", | |
| "==============================================================================\n", | |
| "Dep. Variable: D.y No. Observations: 730\n", | |
| "Model: ARIMA(1, 1, 2) Log Likelihood -6307.477\n", | |
| "Method: css-mle S.D. of innovations 1368.452\n", | |
| "Date: Thu, 23 Dec 2021 AIC 12624.955\n", | |
| "Time: 20:54:21 BIC 12647.920\n", | |
| "Sample: 1 HQIC 12633.815\n", | |
| " \n", | |
| "==============================================================================\n", | |
| " coef std err z P>|z| [0.025 0.975]\n", | |
| "------------------------------------------------------------------------------\n", | |
| "const 60.1020 54.192 1.109 0.267 -46.112 166.316\n", | |
| "ar.L1.D.y 0.8172 0.242 3.370 0.001 0.342 1.292\n", | |
| "ma.L1.D.y -0.8656 0.244 -3.555 0.000 -1.343 -0.388\n", | |
| "ma.L2.D.y 0.0614 0.038 1.608 0.108 -0.013 0.136\n", | |
| " Roots \n", | |
| "=============================================================================\n", | |
| " Real Imaginary Modulus Frequency\n", | |
| "-----------------------------------------------------------------------------\n", | |
| "AR.1 1.2237 +0.0000j 1.2237 0.0000\n", | |
| "MA.1 1.2695 +0.0000j 1.2695 0.0000\n", | |
| "MA.2 12.8360 +0.0000j 12.8360 0.0000\n", | |
| "-----------------------------------------------------------------------------\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# 1,1,1 ARIMA Model\n", | |
| "model = ARIMA(prices_data_for_arima_df['Close'].values, order=(1,1,2))\n", | |
| "model_fit = model.fit(disp=0)\n", | |
| "print(model_fit.summary())" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 259, | |
| "id": "2d54eead-df73-4059-af7e-9dc263038f37", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Forecast\n", | |
| "n_periods = 60\n", | |
| "fc, stderr, confint = model_fit.forecast(steps=n_periods)\n", | |
| "index_of_fc = np.arange(len(prices_data_for_arima_df['Close']), len(prices_data_for_arima_df['Close'])+n_periods)\n", | |
| "\n", | |
| "# make series for plotting purpose\n", | |
| "fc_series = pd.Series(fc, index=index_of_fc)\n", | |
| "lower_series = pd.Series(confint[:, 0], index=index_of_fc)\n", | |
| "upper_series = pd.Series(confint[:, 1], index=index_of_fc)\n", | |
| "\n", | |
| "# Plot\n", | |
| "plt.plot(prices_data_for_arima_df['Close'])\n", | |
| "plt.plot(fc_series, color='darkgreen')\n", | |
| "plt.fill_between(lower_series.index, \n", | |
| " lower_series, \n", | |
| " upper_series, \n", | |
| " color='k', alpha=.15)\n", | |
| "\n", | |
| "plt.title(\"Final Forecast of Bitcoin price\")\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "2e038e2d-d758-4534-bf42-b644054938e2", | |
| "metadata": {}, | |
| "source": [ | |
| "The P Values of the AR1 and MA1 terms are highly significant (<< 0.05)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "34c3c108-5a2a-4b06-902b-3a5b3ca462d5", | |
| "metadata": {}, | |
| "source": [ | |
| "Let’s plot the residuals to ensure there are no patterns (that is, look for constant mean and variance)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 192, | |
| "id": "267a3c22-2f7e-4993-a937-dafc26eaa0fa", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "residuals = pd.DataFrame(model_fit.resid)\n", | |
| "fig, ax = plt.subplots(1,2)\n", | |
| "residuals.plot(title=\"Residuals\", ax=ax[0])\n", | |
| "residuals.plot(kind='kde', title='Density', ax=ax[1])\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 150, | |
| "id": "fe0d7580-ba83-483c-b168-5c926f516606", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Actual vs Fitted\n", | |
| "model_fit.plot_predict(dynamic=False)\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 177, | |
| "id": "5978c101-31a9-457c-b6ac-3e96d667ad44", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from statsmodels.tsa.stattools import acf\n", | |
| "\n", | |
| "# Create Training and Test\n", | |
| "prices_data_for_arima_whole_size_int = len(prices_data_for_arima_df['Close'].values)\n", | |
| "prices_data_for_arima_test_amount_int = int(prices_data_for_arima_whole_size_int*0.85)\n", | |
| "train = prices_data_for_arima_df['Close'][:prices_data_for_arima_test_amount_int]\n", | |
| "test = prices_data_for_arima_df['Close'][prices_data_for_arima_test_amount_int:]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 183, | |
| "id": "6e2b9e84-281e-40df-970e-67ceae506ea0", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "pandas.core.series.Series" | |
| ] | |
| }, | |
| "execution_count": 183, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "type()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 230, | |
| "id": "4a73d30b-1bf6-4b59-a71c-342e206a046c", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/arima_model.py:472: FutureWarning: \n", | |
| "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n", | |
| "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n", | |
| "between arima and model) and\n", | |
| "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n", | |
| "\n", | |
| "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n", | |
| "is both well tested and maintained.\n", | |
| "\n", | |
| "To silence this warning and continue using ARMA and ARIMA until they are\n", | |
| "removed, use:\n", | |
| "\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n", | |
| " FutureWarning)\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n", | |
| " FutureWarning)\n", | |
| "\n", | |
| " warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n", | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/arima_model.py:472: FutureWarning: \n", | |
| "statsmodels.tsa.arima_model.ARMA and statsmodels.tsa.arima_model.ARIMA have\n", | |
| "been deprecated in favor of statsmodels.tsa.arima.model.ARIMA (note the .\n", | |
| "between arima and model) and\n", | |
| "statsmodels.tsa.SARIMAX. These will be removed after the 0.12 release.\n", | |
| "\n", | |
| "statsmodels.tsa.arima.model.ARIMA makes use of the statespace framework and\n", | |
| "is both well tested and maintained.\n", | |
| "\n", | |
| "To silence this warning and continue using ARMA and ARIMA until they are\n", | |
| "removed, use:\n", | |
| "\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n", | |
| " FutureWarning)\n", | |
| "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARIMA',\n", | |
| " FutureWarning)\n", | |
| "\n", | |
| " warnings.warn(ARIMA_DEPRECATION_WARN, FutureWarning)\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1200x500 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Build Model\n", | |
| "# model = ARIMA(train, order=(3,2,1)) \n", | |
| "model = ARIMA(train, order=(1, 1, 2)) \n", | |
| "fitted = model.fit(disp=0) \n", | |
| "\n", | |
| "# Forecast\n", | |
| "fc, se, conf = fitted.forecast(prices_data_for_arima_whole_size_int-prices_data_for_arima_test_amount_int, alpha=0.05) # 95% conf\n", | |
| "\n", | |
| "# Make as pandas series\n", | |
| "fc_series = pd.Series(fc, index=test.index)\n", | |
| "lower_series = pd.Series(conf[:, 0], index=test.index)\n", | |
| "upper_series = pd.Series(conf[:, 1], index=test.index)\n", | |
| "\n", | |
| "# Plot\n", | |
| "plt.figure(figsize=(12,5), dpi=100)\n", | |
| "plt.plot(train, label='training')\n", | |
| "plt.plot(test, label='actual')\n", | |
| "plt.plot(fc_series, label='forecast')\n", | |
| "plt.fill_between(lower_series.index, lower_series, upper_series, \n", | |
| " color='k', alpha=.15)\n", | |
| "plt.title('Forecast vs Actuals')\n", | |
| "plt.legend(loc='upper left', fontsize=8)\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 213, | |
| "id": "ebe39875-37eb-490f-91dc-4c919d7dac21", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/stattools.py:657: FutureWarning: The default number of lags is changing from 40 tomin(int(10 * np.log10(nobs)), nobs - 1) after 0.12is released. Set the number of lags to an integer to silence this warning.\n", | |
| " warnings.warn(\n", | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/tsa/stattools.py:667: FutureWarning: fft=True will become the default after the release of the 0.12 release of statsmodels. To suppress this warning, explicitly set fft=False.\n", | |
| " warnings.warn(\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "{'mape': 0.11796628805827573,\n", | |
| " 'me': -27.583070056295004,\n", | |
| " 'mae': 6242.538687572586,\n", | |
| " 'mpe': 0.01655480910930039,\n", | |
| " 'rmse': 7038.4761385841,\n", | |
| " 'acf1': 0.9594595344324597,\n", | |
| " 'corr': 0.2482280999784143,\n", | |
| " 'minmax': 0.10816776369377734}" | |
| ] | |
| }, | |
| "execution_count": 213, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Accuracy metrics\n", | |
| "def forecast_accuracy(forecast, actual):\n", | |
| " mape = np.mean(np.abs(forecast - actual)/np.abs(actual)) # MAPE\n", | |
| " me = np.mean(forecast - actual) # ME\n", | |
| " mae = np.mean(np.abs(forecast - actual)) # MAE\n", | |
| " mpe = np.mean((forecast - actual)/actual) # MPE\n", | |
| " rmse = np.mean((forecast - actual)**2)**.5 # RMSE\n", | |
| " corr = np.corrcoef(forecast, actual)[0,1] # corr\n", | |
| " mins = np.amin(np.hstack([forecast[:,None], \n", | |
| " actual[:,None]]), axis=1)\n", | |
| " maxs = np.amax(np.hstack([forecast[:,None], \n", | |
| " actual[:,None]]), axis=1)\n", | |
| " minmax = 1 - np.mean(mins/maxs) # minmax\n", | |
| " acf1 = acf(fc-test)[1] # ACF1\n", | |
| " return({'mape':mape, 'me':me, 'mae': mae, \n", | |
| " 'mpe': mpe, 'rmse':rmse, 'acf1':acf1, \n", | |
| " 'corr':corr, 'minmax':minmax})\n", | |
| "\n", | |
| "forecast_accuracy(fc, test.values)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "38299d9f-5c05-4b7f-bbc1-164636f815ef", | |
| "metadata": {}, | |
| "source": [ | |
| "# Auto Arima " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 214, | |
| "id": "5f7696fc-0eec-4755-9fe5-4cb5588095c1", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from statsmodels.tsa.arima_model import ARIMA\n", | |
| "import pmdarima as pm\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 238, | |
| "id": "2085eb01-ecae-4417-9a78-526de68ad763", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Performing stepwise search to minimize aic\n", | |
| " ARIMA(1,1,1)(0,0,0)[0] intercept : AIC=12624.051, Time=0.05 sec\n", | |
| " ARIMA(0,1,0)(0,0,0)[0] intercept : AIC=12621.551, Time=0.01 sec\n", | |
| " ARIMA(1,1,0)(0,0,0)[0] intercept : AIC=12622.043, Time=0.03 sec\n", | |
| " ARIMA(0,1,1)(0,0,0)[0] intercept : AIC=12622.070, Time=0.03 sec\n", | |
| " ARIMA(0,1,0)(0,0,0)[0] : AIC=12620.911, Time=0.01 sec\n", | |
| "\n", | |
| "Best model: ARIMA(0,1,0)(0,0,0)[0] \n", | |
| "Total fit time: 0.127 seconds\n", | |
| " SARIMAX Results \n", | |
| "==============================================================================\n", | |
| "Dep. Variable: y No. Observations: 731\n", | |
| "Model: SARIMAX(0, 1, 0) Log Likelihood -6309.455\n", | |
| "Date: Thu, 23 Dec 2021 AIC 12620.911\n", | |
| "Time: 20:51:16 BIC 12625.504\n", | |
| "Sample: 0 HQIC 12622.683\n", | |
| " - 731 \n", | |
| "Covariance Type: opg \n", | |
| "==============================================================================\n", | |
| " coef std err z P>|z| [0.025 0.975]\n", | |
| "------------------------------------------------------------------------------\n", | |
| "sigma2 1.88e+06 5.3e+04 35.499 0.000 1.78e+06 1.98e+06\n", | |
| "===================================================================================\n", | |
| "Ljung-Box (L1) (Q): 1.51 Jarque-Bera (JB): 749.90\n", | |
| "Prob(Q): 0.22 Prob(JB): 0.00\n", | |
| "Heteroskedasticity (H): 33.15 Skew: -0.23\n", | |
| "Prob(H) (two-sided): 0.00 Kurtosis: 7.94\n", | |
| "===================================================================================\n", | |
| "\n", | |
| "Warnings:\n", | |
| "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "model = pm.auto_arima(prices_data_for_arima_df['Close'], start_p=1, start_q=1,\n", | |
| " test='adf', # use adftest to find optimal 'd'\n", | |
| " max_p=3, max_q=3, # maximum p and q\n", | |
| " m=1, # frequency of series\n", | |
| " d=None, # let model determine 'd'\n", | |
| " seasonal=False, # No Seasonality\n", | |
| " start_P=0, \n", | |
| " D=0, \n", | |
| " trace=True,\n", | |
| " error_action='ignore', \n", | |
| " suppress_warnings=True, \n", | |
| " stepwise=True)\n", | |
| "\n", | |
| "print(model.summary())" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 239, | |
| "id": "efe55327-f618-485e-9a69-904946fa931e", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.9/site-packages/statsmodels/graphics/gofplots.py:993: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"bo\" (-> marker='o'). The keyword argument will take precedence.\n", | |
| " ax.plot(x, y, fmt, **plot_style)\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 840x600 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "model.plot_diagnostics(figsize=(7,5))\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 240, | |
| "id": "d8ee3644-8bd2-404d-967a-7c022c7b4bfd", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Forecast\n", | |
| "n_periods = 60\n", | |
| "fc, confint = model.predict(n_periods=n_periods, return_conf_int=True)\n", | |
| "index_of_fc = np.arange(len(prices_data_for_arima_df['Close']), len(prices_data_for_arima_df['Close'])+n_periods)\n", | |
| "\n", | |
| "# make series for plotting purpose\n", | |
| "fc_series = pd.Series(fc, index=index_of_fc)\n", | |
| "lower_series = pd.Series(confint[:, 0], index=index_of_fc)\n", | |
| "upper_series = pd.Series(confint[:, 1], index=index_of_fc)\n", | |
| "\n", | |
| "# Plot\n", | |
| "plt.plot(prices_data_for_arima_df['Close'])\n", | |
| "plt.plot(fc_series, color='darkgreen')\n", | |
| "plt.fill_between(lower_series.index, \n", | |
| " lower_series, \n", | |
| " upper_series, \n", | |
| " color='k', alpha=.15)\n", | |
| "\n", | |
| "plt.title(\"Final Forecast of Bitcoin price\")\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "533f498f-4c46-487e-8825-1790e7d949df", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.9.2" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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