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zhoujie2104231 2757a4d0d2 chore: 添加Stock-Prediction-Models项目文件
添加了Stock-Prediction-Models项目的多个文件,包括数据集、模型代码、README文档和CSS样式文件。这些文件用于股票预测模型的训练和展示,涵盖了LSTM、GRU等深度学习模型的应用。
2025-04-27 16:28:06 +08:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Welcome to Kijang Emas analysis!\n",
"\n",
"![alt text](http://www.bnm.gov.my/images/kijang_emas/kijang.rm200.jpg)\n",
"\n",
"I was found around last week (18th March 2019), our Bank Negara opened public APIs for certain data, it was really cool and I want to help people get around with the data and what actually they can do with the data!\n",
"\n",
"We are going to cover 2 things here,\n",
"\n",
"1. Data Analytics\n",
"2. Predictive Modelling (Linear regression, ARIMA, LSTM)\n",
"\n",
"Hell, I know nothing about Kijang Emas.\n",
"\n",
"**Again, do not use this code to buy something on the real world (if got positive return, please donate some to me)**"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import requests"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data gathering\n",
"\n",
"To get the data is really simple, use this link to get kijang emas data, https://api.bnm.gov.my/public/kijang-emas/year/{year}/month/{month}\n",
"\n",
"Now, I want to get data from january 2018 - march 2019."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2018 data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"data_2018 = []\n",
"for i in range(12):\n",
" data_2018.append(requests.get(\n",
" 'https://api.bnm.gov.my/public/kijang-emas/year/2018/month/%d'%(i + 1),\n",
" headers = {'Accept': 'application/vnd.BNM.API.v1+json'},\n",
" ).json())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2019 data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data_2019 = []\n",
"for i in range(3):\n",
" data_2019.append(requests.get(\n",
" 'https://api.bnm.gov.my/public/kijang-emas/year/2019/month/%d'%(i + 1),\n",
" headers = {'Accept': 'application/vnd.BNM.API.v1+json'},\n",
" ).json())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Take a peak our data ya"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[{'effective_date': '2018-01-03',\n",
" 'one_oz': {'buying': 5415, 'selling': 5632},\n",
" 'half_oz': {'buying': 2708, 'selling': 2869},\n",
" 'quarter_oz': {'buying': 1354, 'selling': 1461}},\n",
" {'effective_date': '2018-01-04',\n",
" 'one_oz': {'buying': 5362, 'selling': 5579},\n",
" 'half_oz': {'buying': 2681, 'selling': 2842},\n",
" 'quarter_oz': {'buying': 1341, 'selling': 1447}},\n",
" {'effective_date': '2018-01-05',\n",
" 'one_oz': {'buying': 5391, 'selling': 5608},\n",
" 'half_oz': {'buying': 2696, 'selling': 2857},\n",
" 'quarter_oz': {'buying': 1348, 'selling': 1455}},\n",
" {'effective_date': '2018-01-08',\n",
" 'one_oz': {'buying': 5371, 'selling': 5585},\n",
" 'half_oz': {'buying': 2685, 'selling': 2845},\n",
" 'quarter_oz': {'buying': 1343, 'selling': 1449}},\n",
" {'effective_date': '2018-01-09',\n",
" 'one_oz': {'buying': 5377, 'selling': 5592},\n",
" 'half_oz': {'buying': 2688, 'selling': 2849},\n",
" 'quarter_oz': {'buying': 1344, 'selling': 1451}}]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_2018[0]['data'][:5]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, I got zero knowledge on kijang emas and I don't really care about the value, and I don't know what the value represented.\n",
"\n",
"Now I want to parse `effective_date` and `buying` from `one_oz`."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(305, 305)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"timestamp, selling = [], []\n",
"for month in data_2018 + data_2019:\n",
" for day in month['data']:\n",
" timestamp.append(day['effective_date'])\n",
" selling.append(day['one_oz']['selling'])\n",
" \n",
"len(timestamp), len(selling)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Going to import matplotlib and seaborn for visualization, I really seaborn because of the font and colors, thats all, hah!"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import numpy as np\n",
"sns.set()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (15, 5))\n",
"plt.plot(selling)\n",
"plt.xticks(np.arange(len(timestamp))[::15], timestamp[::15], rotation = '45')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Perfect!\n",
"\n",
"So now let's we start our Data analytics."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Distribution study"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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49pypI58gfyE5IZZ7V1RQWeZh5Rv7+MOb+wlE72R6IiIRRX1jRERERiEYDPLwy4ZgED573Wyczuha7sLhdNDtnbjVpu68ehaJCTG8vK6aYy093HGVRVysK+Tz3bExxOgrbxGRMaUiUUREZBTW7DzGjkMt3HpZKdnpCXbHGXNen5+texsn9DlL8lLo7Rtgg2nkyMNdXFxZQGJ8aB9RlpTnEjMOS3aIiExm+u5NREQkRB3d/ax8fR8z8lO5tLLQ7jhRw+FwMHtaJhdXFtDe7WXV2ipaOvrsjiUiMmmpSBQREQnRY6/vpa/fz11Xz4q6bqbhoCgnmauWFQPw8gfVHNFaiiIitlCRKCIiEoIt+5tYt7uB684tocCTbHecqJWZGs8150wlLdnNW5tq2XmohaAmtBERmVAqEkVEREbQ6x3gkVcMBdlJXLtcs5mOt8T4GK5cWsTU3GQ2mkbe3XYU30DA7lgiIpOGikQREZERPPmnA7R1ernr6lnEuPSrcyLEuJxcWJFPRWk2h4528tLaKjq6++2OJSIyKeg3nYiIyGnsPdLGW5truXRxITMK0uyOM6k4HA7mz8jissWF9Hr9vPh+FVXHOu2OJSIS9VQkioiIfAjfgJ/fvrSHrNR4Pn7hdLvjTFr52Ulce+5UUpPjeHtLHRtNA4GAximKiIwXFYkiIiIf4qUPji/w/smrLOLjtBafnZITYrlqWRFlRensPNTKaxuO0NPnszuWiEhUUpEoIiJyCg1tvby4porFs3KYOz3L7jgCuJxOzpmTy3nz8mhu7+O59w6zeW+j3bFERKKOikQREZGTBINBHnttL06HgxWXzLQ7jpxkRkEa151bQkpiHP/z4m5+/eIuer0DdscSEYka6jsjIiJyki37mth2oJmbL55JZmq83XHkFFKT4rh6WTFN7X28sq4aU93G31w3m7KidLujiYhEPN1JFBERGcbr8/PY6/soyE7issWFdseR03A6HVx7bgnfuH0RAD96bBNPvX1AayqKiJwl3UkUEZGIMRAAr2/kboXBlh56zrD74fPvHaK5o48v3zQf70AA71kWHJqEc/zNLEzjXz+9lJWv7+PFNVVs3tfEXVfNYmahliwRETkTKhJFRCRieH0DrN9dP+JxKcnxdHb1jfr67V1eXl9/hOn5qbR2ekN6rpEsKPOc9TVkZAnuGD59bTmLLA+PvGr4waMb+UhlATdeNIMEtz7uiIiMht41RUREOD5ZzQe7G3C5nCyyVNhFqgUzsykrSuePqw/yxsYatuxr4hOXl7FQxbqISMg0JlFERAQ4fKyTY809LCzN1p2nCJfgjuG2y8v45p2LSYqP4edPb+e+P26npWP0d5dFRCYjFYkiIjLp+QYCbNjTSGaqm7JizY4ZLabnp/Ktu5bw1xdNZ9uBZv7pwbW88P5hfAN+u6OJiIQ1fVUqIiKT3rYDzfR6B/jIwnycDofdcWQMxbicXLu8hGXluTz+5n6eXn2Qd7bVseLSUipmZuPQ37eIyF/QnUQREZnUOrr72X24hRkFqXjSE+yOI+MkOz2BL358HvesqCDG5eTnT23nP5/YytHmbrujiYiEHRWJIiIyaQWDQdYPTlZTqYlNJoU5JZn866eXsuLSUg7UtvOtX6/j92/so7vPZ3c0EZGwoe6mIiIyadU2dlPb1M1iy6PJaiaRGJeTK5YUsWx2Ln9cfYDX1h/h/R3H+Nj507ioIp8Yl75DF5HJTe+CIiIyKfn9AdbvaSAtKY5ZUzPsjiM2SEuK466ry/mXTy2h0JPE717by7/8zzq2HWi2O5qIiK30tamIiExKuw630tnj47LFhTidmrwkUjmcDrq9A2d1jaz0BL7w8XlsP9jMM6sP8n+f2Er51AxuuHA6U7KTRjw/2NJDT4gZ3LExxOgrehEJcyoSRURk0unu87H9YDNFOcnkh1AESPjy+vxs3ds4Zte7YmkxprqVbfub+cEjGyktSqOiNJv4uA//yJSSHE9nV2hrMC4pzyVGXZtFJMzpXUpERCadjaaRQBAWz9JkNfLnXE4Hs0symZ6fxtb9Tew90saho53Mn5HFrKnpuJy6DSgi0S+kItGyrDLgISALaAbuNMbsO+kYF/Az4CogCPzQGPOrEPb9M7AC8AM+4J+MMa8M7ksEfgMsAgaAe40xL5zNCxYRkcmtvqWHw4Mf+lMS4+yOI2EqPs7Fstm5WMXpbDSNbDSN7D3SRmWZh+LcZK2vKCJRLdSvw+4H7jPGlAH3AQ+c4pjbgZlAKbAc+LZlWSUh7FsHLDHGzAc+DTxuWdaJharuBTqMMTOBvwJ+ZVlWcugvT0RE5H8FAkHW7W4gMT6GudMz7Y4jESA92c2liwq5bHEhLqeDt7fU8fqGGtq7+u2OJiIybkYsEi3LygEqgZWDm1YClZZlndxH5xbgQWNMwBjTCDwD3DTSPmPMK8aYnsHjtgEOjt+xPHHeA4PH7QM2AFeP+lWKiIgA+2raaO30snhWjpY5kFHJz07iunNLWFqeQ1N7H8+/d4hNexvxDQTsjiYiMuZC6W5aBNQaY/wAxhi/ZVl1g9uHjxQvBqqGPa4ePGakfcPdCRwwxtSM8rwPlZWlG48j8XhS7I4gk4jam5yNYEsPKcnxIR178nF93gG27G+mwJPM3BnZE9ZdMDY2JuTM4UB5T2/JnATmzMjm/e1H2XGwhcPHOrlgQQHT8lNDalOJiW48mYkTkFSimX6XyngLm4lrLMu6CPgucPlYXre5uYtAIDiWl4wqHk8KjY2ddseQSULtTc5Wj3cgpFkkTzXb5Nqd9fT7/FSWZdPV7R2viH/B5wstc7hQ3tAsK8+hJDeZD3bV89KawxRkJ7FsTi7JCbGnPa+nx0uj3z8xISUq6XepjIbT6Tijm2ah9LU5AhQMTj5zYhKa/MHtw1UDU4c9Lh52zOn2YVnWcuBR4HpjjAnxmiIiIiFp6ehj35E2rKJ0MlLcdseRKJGbmch155Zw3vx86lt7eO7dQ5jqNoJBfTktIpFtxDuJxpgGy7K2ALdyvJC7Fdg8OLZwuCeAz1qW9TTHxxReD1ww0j7LspYAjwM3GmM2neKanwM2WJZVCiwZfH4REZGQBIPHJ6uJi3WxoDTb7jgSZZxOBxVlHnLT43l/5zE+2FVP1bFOls/NPeXsuQ6ng27vgA1Jz5w7NoYYDeEVmVRC7W56N/CQZVnfAlo5PnYQy7JWAd8yxmwAHgGWASeWxviOMebQ4M+n2/dfQALwgGVZJ57vDmPMduAnwG8ty9rP8SUy/tYYo/vrIiISskNHO2lo7eWcObm4Y112x5EolZwYy+WLC9lX087GPY08/95hKss8WMXpfzZW0evzs3Xvyd+zh7cl5bnEuMNmhJKITICQ/sUbY/ZwvMg7efs1w372A5//kPNPt2/JaZ63m/+dIVVERGRUfAMBNppGslLdzCxMszuORDmHw0FZUTr52Ums3XmMdbsbqDrWyfnzp5A0wlhFEZFwos4DIiIStbYfbKbXO8DS8lycWvxcJkhyQiyXLipk+dw8mjv6eP79wxxp6LI7lohIyFQkiohIVOro7mfXoVam56fiyUiwO45MMg6Hg9LCNK47t4TkhFje2lTL+t0NDPi1rqKIhD91MBeRsDYQAK8vciZ50AQP4WPDngZcTgeVZR67o8gklpoUx9XnFLNxTyO7q1r5xRPbWDzLc8pJbUREwoWKRBEJa17fAOt319sdI2Sa4CE8HD7aQU1jN5WWh8R4/X2IvVxOJ0tn55KXlcgHu+p54f0qls/JpWRKqt3RREROSd93i4hIVBnwB3hnSy1pSXGUT82wO47IkOLcFL5660LSkuJYvfUoG00jAa2pKCJhSEWiiIhElZ2HWujo7mfp7BxcTk1WI+ElMzWeq5YVU1aUzs5DLfxpUy2+AY1TFJHwoiJRRESiRmdPP9sPtlBalM6UrCS744icktPp4Jw5uSydnUNtUzcvra2is6ff7lgiIkNUJIqISFQIBoOs292A0wHnzs+3O47IiGYVZ3DpokJ6+gZYtaaa+pYeuyOJiAAqEkVEJErUNHZT29jNgpnZJGvhcokQ+dlJXLN8Ku44F6+tP8K+mja7I4mIqEgUEZHIN+APsG5XPWnJmqxGIk9qUhzXnFNMbmYia3bUs2VfE0FNaCMiNlKRKCIiEW/HwRa6+wZYVp6LU5PVSASKi3Vx6aJCZhSksu1AM+t2N6hQFBHbaPEoERGJaB3d/ew42MK0KSnkZSXaHUfkjDmdDs6dm4c71sWuw614fX7OmzdFs/SKyIRTkSgiIhErGAyyfncDLqeDRVaO3XFEzprD4WDxrBzi41xs2ttEvy/ARRX5xMao85eITBy944iISMSqqu+itqmbBaVZJMbre0+JHnOnZ7F8bi5Hm7p5fcMRvP1+uyOJyCSiIlFERCKS1+dn3a56MlPdzCrWZDUSfUoL07loYT7N7V5eWVdNr3fA7kgiMkmoSBQRkYi0yTTi9flZPidPk9VI1CrOTeHSxQV09fp4dd0RFYoiMiFUJIqISMSpb+lhX0075VMzyEqLtzuOyLiakpXEJYsK6e7z8ep6FYoiMv5UJIqISETx+wOs2VlPckIsC2Zm2x1HZELkZSZySWUh3b0qFEVk/KlIFBGRiLL9YAsd3f0sm52rGR9lUsnLOl4odvX4eE2FooiMI/12FRGRiHG0qZsdB5uZNiWFAk+S3XFEJlxeViKXLiqkc7BQ7OtXoSgiY09FooiIRIRAMMjK1/cRG+NiSbnWRJTJKy8rkUsWFdDZc3wymz4tjyEiY0xFooiIRIS3N9dy6GgHi2d5iI/TmogyuR2fzKaAjh4fb26swTcQsDuSiEQRFYkiIhL2Wjr6ePLtA1jF6UzPT7U7jkhYmJKVxEUV+TR39PHWplr8fhWKIjI2VCSKiEhYCwSD/PrF3QQCsOLSUhwOrYkockJRTjLnzs3jWEsPq7ceJRAI2h1JRKKAikQREQlrb2yoYXdVKysunUl2eoLdcUTCzoyCNJaU53CkoYs1O48RDKpQFJGzo0EdIiIStuqaunny7QMsmJHFhQvy6dEEHSKnVD41g36fn637m4mLcbF4lkd33UXkjKlIFBGRsDTgD/DgC7twx7q46+pZ+sArMoL5M7Lo9wXYXdWKO9bJ/JnZdkcSkQilIlFERMLSC+8fpupYJ1+8YS5pyW6744iEPYfDweJZHvoH/GzZ30y8O4ayonS7Y4lIBFKRKCIiYedgXQcvvF/FuXPzWGRpTUSRUDkcDpbPyaPP6+eDXfUkxcdQ4Em2O5aIRBhNXCMiImHF6/Pz4Au7SE+J47bLyuyOIxJxnE4HF1bkk5Hi5u0tdTS399kdSUQijIpEEREJK0+8tZ/6lh4+c005ifHq8CJyJmJjnFy6qBB3rIs3NtbQ1eOzO5KIRBAViSIiEjY27W3kzU21XL64iPKSTLvjiES0BHcMly4uJBAM8sbGGryaHVhEQhTSV7SWZZUBDwFZQDNwpzFm30nHuICfAVcBQeCHxphfhbDvCuD7wDzg58aYe4dd89vAF4C6wU3vGWO+eEavVEREwlp9Sw+/fnEXJXkp3PiR6XbHEYkK6cluLl5YwGvra3hrcy2XLy7E5dI9AhE5vVDfJe4H7jPGlAH3AQ+c4pjbgZlAKbAc+LZlWSUh7DsI/A3wkw957oeNMRWD/6lAFBGJQt5+P7/443ZcTidfuGEusTEuuyOJRI3czETOm59HQ2sv724/RjAYtDuSiIS5EYtEy7JygEpg5eCmlUClZVmekw69BXjQGBMwxjQCzwA3jbTPGLPfGLMFGDjrVyMiIhEnGAzy0Ct7qGvs5m8/OpvstAS7I4lEnWlTUllkeag61slG02h3HBEJc6F0Ny0Cao0xfgBjjN+yrLrB7cPfZYqBqmGPqwePGWnfSFYMdkk9BvyLMWZNiOcBkJWlaZ9H4vGk2B1BJpHRtrdgSw8pyfHjlGbsJSa68WQm2h0jorz47kHW7qznE1fN4uKlJac9djTtIVzaTWxsTNhkCYXynplQM9iZd9ncKfQPBNh+oJms9ATmzzz5+/5T0/ta+NFnNxlv4T5t3P3A94wxPsuyLgeetSyr3BjTHOoFmpu7CATUreLDeDwpNDZWOIOGAAAgAElEQVR22h1DJokzaW893gE6uyJn+vaeHi+Nfk0OEar9te08+OwOFszI4iMLpozYPkJtDynJ8WHTbny+yGrDyjt6o2lvduddMDOLtk4v72ypw+WA4tyRiw29r4UXfXaT0XA6HWd00yyUMYlHgILByWdOTEKTP7h9uGpg6rDHxcOOOd2+D2WMOWaM8Q3+/NrgOXNDyCwiImGuo7ufXz6zg8xUN3/zV7NxOhx2RxKJek6HgwsWTCE7LZ53th6lsbXX7kgiEoZGLBKNMQ3AFuDWwU23ApsHxxYO9wTwWcuynIPjFa8Hngxh34eyLKtg2M8VQAlgRjpPRETC24A/wP3P7qCr18cXb5hHUnys3ZFEJo0Yl5NLFhWQGB/Dm5tq6ejutzuSiISZUGc3vRv4kmVZe4EvDT7GsqxVlmUtHjzmEY7PVLoPWAt8xxhzaKR9lmWdb1lWDfBV4HOWZdVYlnXl4Hnftyxrh2VZW4EHgTuMMcfO4vWKiIjNAsEgv1m1mz3Vbdx5pRVSdzcRGVvxcTFcuqgQgDc21tDr1fyBIvK/QhqTaIzZAyw7xfZrhv3sBz7/Ieefbt+7QOGH7PtkKPlERCQyBINBHn9jP2t21nPDhdM5b94UuyOJTFqpSXFcsqiAV9cd4a1NtVyxtIgYraEoIoR+J1FEROSsrVpbxWsbjnDZokKuWz515BNEZFx50hO4YMEUmtr7eGfrUQJaQ1FEUJEoIiITZPXWOp56+yDnzM5lxWWlODRRjUhYKM5NYcmsHI40dLFhT4PdcUQkDIT7EhgiIhIFNppGHnp5D3OnZ/Lpa8s1k6lImCkvyaCr18fuqlaSE2KZXZJpdyQRsZGKRBERGVd7qlp54LmdTJ+Syhevn6cxTyJhatEsD919PjbsaSQpPpapeZpUSmSy0m9qEREZN7sOt/Czp7aRk5HAl29agDvOZXckEfkQToeD8+cfX0Px3W1HaWzTGooik5WKRBERGRfvbT/Kf/5hK1lp8dxzSwXJCVoLUSTc/dkaihtr6ezRGooik5G6m4qInAV/IEhHt5cBfxAHUHWsk0S3CwcOnE4HmanuSbdQfDAY5Pn3D/PMO4con5rBF2+YR2K8ft2IRIoTayiuWlvF6xtqWDo7jyS3/g2LTCb6Fy8iEiLfQICWjj5aOry0dB7/f3uXl8CwGeNXra3+i/MyUtwUZCdR4EmiIDuZwpwkCj3JUTk2b8Af4JFXDO9sO8q5c/O46+pZUfk6RaJdalIcl1QW8Or6Gh58bif/eNtCYmPUXVxkslCRKCJyGsFgkIa2XvYdaefwsU4CgxVhfJyLzFQ3+dmZZKa6iYtxESRIaWE67hgXwWAQfyBIY3svtY3d1DR2sWdjGwP+AAAJbhdzSjKZNyOL+dOzSEt22/kyx0Svd4BfPrODHYda+Oh5JXzs/Gla5kIkguVkJHL+/Cms3lLHgy/s5u6PzdHMxCKThIpEEZFT6Pf5OVDXwb4jbbR19RPrclJamEaBJ4nMlHgS3K5TFkBzp2d9aLesQOB4wXmkoYudh1rYdqCJDaYRgKl5KcyfnsUiy0NRTnLEFVc1DV389/O7qGvq5q6rZ3Hhgny7I4nIGCjJSyHjgmk8+84hnkyL5+aLZ9odSUQmgIpEEZFher0DbNnXxMG6DvyBIFmp8Syfm0tJXiqxMWfXbdLpdJCXmUheZiJLZuUQDAY50tDFtgPNbDvYzAtrDvP8+4fJz07inNm5LJudiyc9YWxe2DjxDQR44f3DrFpbRYI7hq/cNJ+507PsjiUiY+jSRYV0dPXz8gfVeNLiubiy0O5IIjLOVCSKiHC8W+m+mnY27W1kYCDAjII0yorSyUqLH7fndDgcFOemUJybwnXnltDR08/GPQ2s2VXP06sP8vTqg8wsSGPZ7FyWlOeQmhg3blnOxP6adn7z0m6ONvewfE4uKy4tJSXMMorI2XM4HNx2eSnNHX08+tpeMlLjqZiZbXcsERlHKhJFZNJr6ejjg131NLb1kZuRwLI5uaTbMEYwNTGOiysLubiykKa2Xj7YXc/anfX87rW9rHx9H3OmZXLOnFwWlmYTH2ff23df/wBPvX2QNzfWkJnq5is3LWD+DN09FIlmLqeTuz82hx/9bjP3P7uDr99eSUleqt2xRGScqEgUkUnLNxBg6/4mdle1Ehfj4rx5eUzPTw2L8YDZ6Qlcu7yEa5eXcKShi7W7jvHBrnoefL6ZuFgnC0s9LJudy5ySzLPuBhuqju5+3tlWx5ubamnr9HJJZSEfv2g6CZoaX2RSiI+L4cs3zed7D2/g/z6xjW/esSjsu8SLyJnRb3YRmZRaOvr40+Y6unp9lBamUVnmwR0XntO7F+UkU5Qzk7++aAb7a9pZu6ue9bvr+WBXPe44F7OnZrBgZjbzpmeRkTK2d0BPdMN9a3MtG/Y04A8EmVWczt0fm0NpYfqYPpeIhL/0ZDdfubmCHz66kf94fAvfuGNR2HWFF5GzpyJRRCadw0c7eG/7MdxxLq5cVkRuRqLdkULidDgoK0qnrCid2y4rZeehFrYeaGbbgSY272sCoDg3mfkzsplZkEqhJ5mMFPeo74x6fX5qGrs4UNvBO9vqqG3sJsEdw8WVBVy8sIApWUnj8fJEJEIUZCfx5RsX8JPfb+b/PbGVr9260NYu8CIy9vQvWkQmjWAwyJZ9TWw/2IInPZ6PLCyI2K6SMS4nC2Zms2BmNsFgGbWN3Ww90MS2A828uOYwwePLOZLgjqHQk0ShJ5kCTxIJ7hicDgdOpwOng6E1z4619FDd0EV1fSfHWnqGzi/OTeauq2exrDw3bO+0isjEm1mYxt0fm8Mvnt7Of/1xB39343xiXBPT9V1Exl9kfjoSERmlfp+fd7cdpaaxm5mFaSybnYPLGR0faBwOB4U5yRTmJHPt8hJ6+gaoaeyitrGLmsZuahq7WLurnl7vwGmvk5XqpignhSWzco7PupqTTFZafFiM0RSR8LOw1MMnr5rFb1/aw29W7eYz180e+uJJRCKbikQRiXod3f28tamWjp5+ls7OwSpKj+rCJzE+Zqhb6gnBYJC2rn68Pj+BQJBAMEggECQYhEAwiCc9geSEWBtTi0gkunBBPu1dXv74ziHSkt3cfPFMuyOJyBhQkSgiUa25vY/XNhzBgYPLFxeRlxUZ4w/HmsPhGPNJbUREAK47t4T27n5e/qCatKQ4rlxabHckETlLKhJFJGo1tvXy+oYa3LEuLl9SqIXeRUTGgcPh4LbLyujo8fH4m/tJTojlvHlT7I4lImdBRaKIRKWG1l7e2FBDvNvF5UuK1JVSRGQcOZ0OPnvdbHr7fPzPqt3Ex7lYZOXYHUtEzlB0zNogIjJMfUsPr284QrzbxZVLVSCKiEyE2Bgn/+fj85men8oDz+1k56EWuyOJyBlSkSgiUeVoczdvbKwhKT6WK5cWkxivAlFEZKK441x85aYFTMlK4udPb2N/TbvdkUTkDKhIFJGoUdfUzZsba0lOiOWKpUUkxqtHvYjIREuKj+Wrt1SQkezmP5/YSnV9p92RRGSUVCSKSFRoaO3hrU21pCbFccXSIhLcKhBFROySlhTHvSsWkuB28R+Pb+FYS4/dkURkFFQkikjEa+v08ubGWpLiY7h8SSHxcSoQRUTslpUWzz23VBAE/v33m2ls67U7koiESEWiiES07l4fr2+sweVycNniIhWIIiJhZEpWEvfcUoG3389PVm6mub3P7kgiEgIViSISsbz9fl7fUINvIMBliwtJTtQkNSIi4aY4N4V7VlTQ3TfAj1duoqVDhaJIuFORKCIRacAf4M1NNXT2+ri4soCMlHi7I4mIyIcoyUvlnlsq6Or18eOVm2nt9NodSUROQ0WiiEScQCDI6i11NLb1ccH8KeRlJtodSURERjA9P5W/v7mC9u5+frxyM21dKhRFwlVIg3csyyoDHgKygGbgTmPMvpOOcQE/A64CgsAPjTG/CmHfFcD3gXnAz40x94ZyTRGZnILBIGt31VPT2M2y2TlMzUuxO5KIiIRoZkEaf3/TAv7zD1v5ycrN/MNtlaQlxdkdS0ROEuoMD/cD9xljHrUs6xPAA8AlJx1zOzATKOV4MbnZsqzXjTGHR9h3EPgb4Ebg5P5ipztPRCahXYdb2V/TzrwZWVjFGXbH+QsOp4Nu74DdMULmjo0hRn1KRGQClRWl85Wb5vOfT2zl31du5t5bF6pQFAkzIxaJlmXlAJXA5YObVgK/sCzLY4xpHHboLcCDxpgA0GhZ1jPATcBPTrfPGLN/8HmuP8XTn+6aIjLJ1DR2sck0MjU3mYqZWXbHOSWvz8/WvY0jHxgmlpTnEqM1JUVkglnFGXz5xgX8vye38uPHNnHvioVkpLjtjiUig0L5/rgIqDXG+AEG/183uH24YqBq2OPqYcecbt/pnOl5IhJl2rq8vLP1KBmpbs6dNwWHw2F3JBEROQvlUzP46s0VtHR6+dHvNml5DJEwEvVfH2dlJdsdIex5PBrTJRNntO0t2NJDbFwMf9p8iBiXk+vOn05KYvh2S4qNjSElOXJmWk1MdOOJoIl/gi09If/5hsvfQ6S1CeU9M6FmCJe8ozGe7xMeTwpZWUl8+7/X8JPHt/C9u88lLytpXJ4rmuizm4y3UIrEI0CBZVkuY4x/cDKZ/MHtw1UDU4H1g4+H3wU83b7TOdPzhjQ3dxEIBEdzyqTi8aTQ2NhpdwyZJM6kvXX29PPie4fo6vFx5dIiCATo7Arfb5t9voGwzneynh4vjX6/3TFC1uMN7c83JTk+bP4eIq1NKO/ojaa9hUPe0Rrv94msxFjuWVHBT3+/hX/4+Tt87daFmrX6NPTZTUbD6XSc0U2zEbubGmMagC3ArYObbgU2nzQeEeAJ4LOWZTkty/IA1wNPhrDvdM70PBGJEk+vPsix5h6Wz83Fk5FgdxwRERkHJXmp/MNtlQz4A/zod5uobeq2O5LIpBbqnHZ3A1+yLGsv8KXBx1iWtcqyrMWDxzzC8ZlK9wFrge8YYw6NtM+yrPMty6oBvgp8zrKsGsuyrgzhmiIS5f60uZbVW+qYXZLBjII0u+OIiMg4KspJ5h9vqwQH/Oh3m6g6prtlInYJaUyiMWYPsOwU268Z9rMf+PyHnH+6fe8ChaM9T0Si256qVn732l5mT8uksizb7jgiIjIB8rOT+Prtlfz7yi386LFNfPnG+WG53JFItNPqWCISdhraevmvZ3aQk5HAXVfPwqmZTEVEJo3cjET+6Y5FZKbG89PHt7J5X+QsKyQSLVQkikhY6fUO8PMntxEMBvm7G+eToDX8REQmnYwUN1+/vZKinGTue3oH720/anckkUlFRaKIhI1AIMiDz+/iaHMPn79+LrkZmt1ORGSySk6I5Wu3VjBrajq/fnE3r64/eWJ9ERkvKhJFJGw8vfogW/Y3cetlpcwuybQ7joiI2Cw+LoYv37iARZaH37+xj6dXHyQY1NJmIuNNRaKIhIU1O46xam0VH6nI55LKArvjiIhImIiNcfL5j83lwgVTeOH9w/zmpT0M+AN2xxKJahrsIyK2O1DXzm9e2oNVlM5tl5fh0EQ1IiIyjNPp4JNXzSItyc3z7x+mvaufz18/h/g4fZQVGQ/6lyUitmrt9PKLp7eTnhzHF26YS4xLHRwmksPpoNs7YHeMkAXUy0xk0nI4HNxw4XQyUt088orhx49t5is3LSA1Kc7uaCJRR0WiiNjG6/Pz86e20dfv5947KkhJ1C/6ieb1+dm6N3Kml19Q5rE7gojY7CMVBaQnubn/2R1875ENfPXmCnIzNdGZyFjSV/YiYotgMMhvVu2m6lgnn/urORR4ku2OJCIiEaKiNJuv3baQXq+f7z2ykQN17XZHEokqKhJFxBYvrKli3e4GPn7RdCpKs+2OIyIiEWZGfhrfvGMRCW4XP3lsMxtNg92RRKKGikQRmXAbTSN/XH2Qc+bkcs05U+2OIyIiESo3M5Fv3rGYopxk7vvjDl5cc1hLZIiMARWJIjKhjjR08asXdjFtSiqfunqWZjIVEZGzkpoUx9duXcjS8hyeevsgv1mlJTJEzpYmrhGRCdPW6eVnT24jwe3iS389j9gYl92RREQkCsTFuvjcR+eQl5nIc+8dpqm9ly/cMI/khFi7o4lEJN1JFJEJ4RsI8IOH1tHR08+X/no+6cluuyOJiEgUcTgcXH/BdD573Wz217bzvYc3UN/SY3cskYikIlFExl0wGOS3L+1h16EWPn1NOdOmpNodSUREotTyuXncu2Ih3X0D/NvDG9hT1Wp3JJGIo+6mIjLuXlhTxZqdx7jtylksm51rdxwRERkFh9NBt3fA7hghi42JoSAnmXtWVHD/szv46eNbWHFZKefMybM72im5Y2OI0W0bCTMqEkVkXK3bXc8fVx9k+ZxcVlxeRlNTl92RRERkFLw+P1v3NtodI2QLyjxDeS9eWMDbW+r43at72bqviYVl2WE3YdqS8lxi3PpILuFF31uIyLg5UNfOr1/czczCNO66ujzsfjGLiEh0i4t1cemiQkoL09hxqIW3t9Rp5lOREKhIFJFx0dTey8+f2k56chz/5+PziFVfGhERsYHT6eCcObkstjxU13fxygdH6OmLnO6zInbQpzYRGXO93gF+9uQ2fAMBvnzjAlIT4+yOJCIik5jD4WD2tEwuriygvdvLqrVVNLX32R1LJGypSBSRMTXgD3D/szupa+rhCzfMJT87ye5IIiIiABTlJHPVsmIcwCsfVHOwrsPuSCJhSUWiiIyZYDDIQy/vYfvBZj5xZRlzSjLtjiQiIvJnMlPjuWb5VLLT4nl321E27GkgEAzaHUskrKhIFJEx8/Tqg7y3/RgfPa+Ej1QU2B1HRETklBLcMVy+pAirOJ1dh1t5c2MNXp/f7lgiYUNFooiMidc3HOHFNVVcVJHPx86fZnccERGR03I6HSybncs5c3I51tzDqjVVtHV57Y4lEhZUJIrIWVu3u56Vr+9jYWk2d1xhaakLERGJGGVF6VyxtAjfQICX1lRzpEHr+YqoSBSRs7K7qpVfvbCLmYVpfO6jc3A6VSCKiEhkyclI5NrlU0lNiuWtTbVsO9BMUOMUZRJTkSgiZ6y6vpOfP7WN3IxE/u7G+cTFuuyOJCIickaSEmK5clkx0/NT2bKvidVb6vANBOyOJWILFYkickaONnfzH3/YSoI7hr+/eQFJ8bF2RxIRETkrMS4n583LY5Hlobq+i5c/qKazp9/uWCITTkWiiIxafUsPP165GYJB7l1RQWZqvN2RRERExoTD4WDOtEwuXVxId6+PVWuqOdrcbXcskQmlIlFERqWhrZcfr9yM3x/ka7cuZEpWkt2RRERExlx+dhLXLJ9KvNvF6xtq2HmoReMUZdJQkSgiIWtq6+Unj22i3+fn3hUVFHiS7Y4kIiIyblKT4rjmnKkU5ySz0TTy9pY6+ge0nqJEPxWJIhKSlo4+frxyM71eP/euWEhxbordkURERMZdbIyTCyvyWWx5ONLQxar3q2jr1HqKEt1iQjnIsqwy4CEgC2gG7jTG7DvpGBfwM+AqIAj80Bjzq7Pc923gC0Dd4NO8Z4z54pm+WBE5M62dXn782Ga6+3zcu2IhU/NUIIqIyOThcDiYPS2TrLR4Vm+tY9XaKpbPyWNafqrd0UTGRah3Eu8H7jPGlAH3AQ+c4pjbgZlAKbAc+LZlWSVnuQ/gYWNMxeB/KhBFJlhTey8/fmwT7T39/P3NFUybol+IIiIyOeVmJnLt8hIyU+N5Z9tR1u2qxx/QOEWJPiMWiZZl5QCVwMrBTSuBSsuyPCcdegvwoDEmYIxpBJ4BbjrLfSJio9qmbn7w6CY6e3zcc3MFMwvS7I4kIiJiq8T4GK5YUkT51Az2VLfx6rpqevp8dscSGVOh3EksAmqNMX6Awf/XDW4frhioGva4etgxZ7oPYIVlWdssy3rVsqzlIeQVkTFwoK6dHz66kUAgyD/eXsnMQhWIIiIiAE6ngyXlOVy4YAqtnV5eeL+KY809dscSGTMhjUm00f3A94wxPsuyLgeetSyr3BjTHOoFsrI0++JIPB6NL5M/t8k08NPfbyE9xc13P3cueWO4zMVo21uwpYeU5MhZhzE2NkZ5x9Fo8obL64rmP+NwEC55Q80QLnlHI9IyT2TeeaXxFOSm8vKaw7y2/gjnzJvCwjIPDocj5GskJrrxZCaO6nn12U3GWyhF4hGgwLIslzHGPzjRTP7g9uGqganA+sHHw+8QntE+Y8yxExc3xrxmWdYRYC7wdkivDmhu7iKgvuIfyuNJobGx0+4YEkbW7a7nwed3MSUriXtuWYArEBizNnIm7a3HO0BnV9+YPP9E8PmUdzyFmjclOT5sXle0/hmHi3DIO5r2Fg55RyvSMk903lgnXLWsmPd3HGPN9qPUNnRy7tw84mJdIZ3f0+Ol0R/6shr67Caj4XQ6zuim2YjdTY0xDcAW4NbBTbcCmwfHDw73BPBZy7Kcg+MVrweePJt9lmUVnLi4ZVkVQAlgRv0qRSQkb22u5YFndzI9P5Wv376QtGS33ZFERETCXmyMkwsXTGHxrOPLZLy4pormjsgprEVOFmp307uBhyzL+hbQCtwJYFnWKuBbxpgNwCPAMuDE0hjfMcYcGvz5TPd937KsRYAf6AfuGH53UUTGxoA/wONv7ueNjTXMn5HF56+fizvEb0BFRERkcJmMkkyyUuN5Z+tRXlpTzeJZHqzi9FF1PxUJByEVicaYPRwv5E7efs2wn/3A5z/k/DPd98lQ8onImevq9fHLZ3awu6qVK5YUcdPFM3A5Q10dR0RERIbLzUzkuvOm8t72Y6zb3cCxlp5RdT8VCQf6JCgyidU2dvHdh9azr6aNz1xbzopLS1UgioiInKX4uBguqSxgkXW8++kL71fR2NZrdyyRkOnToMgktXlfI//2yEb6fQH+8bZKzps3xe5IIiIiUcPhcDBnWiZXLSsG4OUPqtlxqIVgUBMqSvgL9yUwRGSMBQJBXlxzmGfeOcTUvBS+9NfzyUjRBDUiIiLjwZOewHXnTuX9HcfYZBqpa+rm/Hl5JMbH2h1N5EOpSBSZRFo6+vjVC7vYU93GOXNyueuqWRojISIiMs7iYl1cVJHP/pp21u9p4Ln3DrN8Th5T87TeoYQnFYkik8RG08hvX9rNgD/Ip66Zxfnzpmi2NRERkQnicDgoLUonNzORd7Yd5e0tdcwsSGP+jGyS3PpILuFFYxJFopzX5+fhl/dw3x+340lP4NufWsIF8/NVIIqIiNggNSmOq5cVM296Jgdq2/nhoxs5UNdudyyRP6OvLUSiWHV9Jw88t5NjzT1cfU4xN1wwnRiXvhsSERGxk9PpYGGZh/zsJNbvaeD7j2zk6mVT+dj504iN0e9psZ+KRJEo5PX5ee69Q7y67gjJibHcs6KC2SWZdscSERGRYXIzE/n6Jxbx/LuHWLW2ii37m/jMteVMm5JqdzSZ5FQkikSZbQeaefRVQ1N7H+fPn8LNF88kOUEzqImIiISjBHcMn7qmnEVWDg+9vIfvPbyRq88p5qPn6a6i2EdFokiUaOvysvL1fazf08CUrET+8baFWMUZdscSERGREMyfkcV3P7OU37+xnxfXVLFlXxOf1l1FsYmKRJEIN+AP8PaWOp5efQDfQJAbLpjGVcum6ttHERGRCJMYH8unry1n8SwPv31pD//28AYuXVTIDRdMJ0EzoMoEUmsT+f/t3XtwXGd5x/Hv3i/aXWklS7KukXzRm9ixkyixHUIuJIGEDoVQKIGWy0AoLRNaWpjO9J8OzGQ6HabMdNoOYcJlOqGFabmEBEpJ0hAgwcmQ2IkTJxBex7ZkSZYs2bpYK2m12svpH3u0yFfdLOv2+8zs7Nnzvkf7jPRozz7nnPc9q5TjOOy3J3nkmSMMDKfZ1pLko3cZaiujyx2aiIiILMLOzRv4hz/bwyPPHOXp/T28ZE/yp2/fSntb9XKHJuuEikSRVeiNY8P84JeH6ehL0VBdxt98YCc7NlXNeluLXAEy2dxlivJcztAEE5n5vX/BWaJgREREVrBoOMBH7zbctGMj//GE5cFHX+eazVV89kPt6CZWstRUJIqsIl39KX7wzBFePzpEZSLEJ991FW/ZvhGvd267i0w2x743+pc4yguLx8Kkxibntc01OmoqIiLr2Ob6cr7w8Rt4al8Pj+09yv1f/jnvuamFt9/QpKElsmRUJIqscI7jcKh7hJ/+uovXjg5SFvZz7+1buPP6BgJ+33KHJyIiIkvM5/Xyzj3N7Lqyhh88e5Tv//IIz7zSywdu30J724ZZryQSmS8ViSIrVMFxOHDoFI+/cIyjvaPEowHed+sm7mhvIBrWLS1ERETWm6ryMH9/3x5+8WIn3336MA8++hqmqYIP3bmVKzbGlzs8WUNUJIoswlKM8ctM5dlvB/jFyz30D6WpSoS5944t7NleS9DvwwHG5zmub5rG94mIiKx+V7dWcdV9SZ59pZdHf9XBAw/v46076njfbZuoiIWWOzxZA1QkiizCpRzjNzQ6yaHu03T0jpLNF0jGQ9xyTR1X1Mbxej28+uapRb+HxveJiIisDT6vl9vbG9mzrZafPH+Mp/Z38+Lv+rmzvZF37mkmHg0ud4iyiqlIFFlGuXyBzr4Uh7pHOHV6Eq/XQ8vGOG1N5VRXRDTGQERERC4qGg5w7x1buO26en60t4MnXuji5weO844bmrh7dxNlGqIiC6AiUeQyKxQc+gbH6ehL0dWfIpd3KC8LcsOV1WyuLycU1GQ0IiIiMj+1ySh//u7tvOstLfxobwc/eb6Tp1/q4e5dTbxjVxORkL72y9wpW0QuA8dxGBhO09GX4tiJFJlsnqDfS0tdgs31CWqSOmsoIiIii9ewoYz733s1Xf0pfrS3g8f2dvB/+7p523UN3Hl9I8m4xizK7IDruzoAAAxeSURBVFQkiiyRfL5A39AEPQNjdA+Mk87k8Hk9NNXEaK1PUL8his+r+xuJiIjIpddcG+ev3r+Tjr5RHv/1MR5/4RhPvtjFjdtruXt3M43VseUOUVYwFYkil1A6k+P4yXF6To7Re2qcXN7B7/NQv6GM5to4TTUx3fhWRERELpvWugT3/9EOBoYneGpfD796rZfnXjvB1a2V3LW7iW0tlXh1NZOcRUWiyCJMZfMcPzlO3+A4fYMTDKcyAERDfjbVl9NUE2NjZQSfT4WhiIiILJ+aZJQP39XGPbe08ssDx/nZSz3883dfZUN5mFt21nHzznpdiiolKhJF5mEqm+do7yiHekb43bFhDh8/TS7v4PV4qElGuG7rBuo3lFGZCGmMoYiIiKw4sUiAP7yphbt3N/PyoZM8+2rxXouP7e1g56Yqbr22np2bqzQkZp1TkShyEWPpLId7TnOoZ4Q3u0foPJEi796RvrE6xq3XNuABaisj+HW2UERERFaJgN/Lnm217NlWS//wBHsP9rH3YB+vPvIaibIg15tqdl9Zw9bGCrxeHfheb1Qkirimsnm6+sc42jdKR98oHb2jDIykAfB5PbTWJbhrVxNbmyrY0lBOLBJgPJNj3xv9yxy5iIiIyMLVJqO8/7bN3HNzKwePDPLr35zguYN9/OLl48XbdJkadl1Vw5bGco1fXCdUJMq6ND6Zpbt/jK6BMbr7U3QNFCeamT5LWJkI0VqX4LZr69lUn6C1LkEwoPsXioiIyNrl93lpb6umva2ayakcB48Msu+NAZ492MvTL/eQKAtydWslV2+qZHtLJfFocLlDliWiIlHWtKlsnr7BCXpPjXP81Di9p8bpHhhjcHSy1Kc8FqS5Js7OzVWlgrAipoHbIiIisn6Fg352X1XL7qtqSWdyvHrkFK8eHuTgkUGef/0EHqClLsGOTZVsa6mktS5OwK8D6muFikRZ9fKFAoOjGQaGJxgYTpcevYPjnBxJ4xRPDuLzethYGWVzQ4Lb2xtoronRVBunvExHwUREREQuJBLyc+O2jdy4bSOFgkPniRSvHx3ktY5B/uf5Tn78XCd+n4eWjQm2NJaztaGczY3lJHSmcdVSkSirQjZXYGh0kv7hCfpnFIIDwxOcOj1ZukwUIOj3UpOM0FQT48ZttdRvKKNhQxm1lVFNLiMiIiKyCF6vh031CTbVJ3jPza2MpbO82T3Cm8dPc7jnND/b380TL3QBUFMRoak2Vjow31wTIxnXDPCrgYpEWXbpTI6RsQxDqQzDoxmGxzIMpzKMpDIMpSYZTmVITWTP2CYU9FGbjNBUG+eGK2uoqYhQk4xQk4xSEQvqw0dERETkMohFAlzXVs11bdUAZHN5OvpSHD5+ms6+UboGxnjJnjyj//TB+42VUWqTEWoro1RXRAj4dTB/pZhTkWiMaQO+BVQBg8DHrLVvntXHB/wb8E7AAb5krf3mUrXJyuQ4DlPZAqn0FGPpLGMTWVLpbGl5LO2+npji9PgUI2MZ0pn8OT8nFgmQjIdIxosTyCTjIaoSYWqTUWqSEeLRgApBERERkRUm4PfR1lRBW1NFaV06k+P4yXG6BlJ09Y/ROzjOgTdPnnESwOOByniIZCJMVSJMZTxEZSJMZaL4fTARDRKPBjTu8TKZ65nEh4AHrbXfNsZ8BPgacMdZfT4MbAG2UiwmDxhjfmat7VyiNlkkx3HI5vJMTObI5gtkc3myuULxkS8wNZVncipPeirHpLs8OZVjMnOedVPFnzOWzpLNFc77fh6gLBIgHg0QiwSorypje0slyUSIZCxUKgorYiHNJCoiIiKyRkRCfrY0lrOlsfyM9ROTWfqH05wYmqB/aIKTI2mGRjMc7T3NS6kMubxznp/lIx4NkogGiUUCREI+wiE/kaC/uOw+R0rr/IRDPiJBP6GAD7/fg8+rM5azmbVINMbUAO3AO9xV/wV8xRhTbe2Mc8fwQeAb1toCcNIY8xjwAeDLS9Q2Gx+w4m7+2XtqnH2/G8BxHBwAB/fZoeCucKbXuY1OsRm3m/u62K9QcCg4DvmCg1MokC845B1wCsV1+YKD47bn8gVyBYe8WwTmcgXO/de7OI8HQgE/oaCPcLD4D1gRCxIKFP8By8IBysJ+ysJ+opEAsXCAaNhPWThAOOhbcX+PxfL7vETDgeUOY86WO95IyE8+N7/3X+6Y50vxLq25xruQXFsqa/V3vFKshHjnk28rId75Wm0xr8Z45/v9aK18n4pFg8SiQTY3lJ/TVnAcxtNZRsamGB2fYnwyS8q9Km0snWU8nWV8MsfwWIbJoTSZqdwZc1RcjMdT/L37vV58fi8Brwefz4Pf78Xn9bpt4PN58Xg8eD3F37kXD3hnvPZQavd4POxoraKtuWL2AC6jGbkyrzMwczmT2AQct9bmAay1eWNMr7t+ZpHYDByb8brL7bNUbbOpA0gmy+bY/fKoqoqxw9QudxhyCTXWnfvBtpJtakwudwjzttpiVrxLa7XFC6svZsW7tFZbvLD6Yl5t8c5XVVVsuUO4LKqXO4C1pQ44MtfOa3nimn3ALUAfcO6gNxERERERkbXNR7FA3DefjeZSJHYDDcYYn3sW0QfUu+tn6gKumBHAzLOAS9E2mwywd459RURERERE1qI5n0GcNmuRaK0dMMa8AvwJ8G33+cBZ4xEBvg98yhjzQ4qTzLyX4pm8pWoTERERERGRS2yul5t+GviWMeYLwDDwMQBjzE+BL1hr9wP/CewBpm+N8YC1tsNdXoo2ERERERERucQ8jjPf+S1FRERERERkrdJNQkRERERERKRERaKIiIiIiIiUqEgUERERERGREhWJIiIiIiIiUjLX2U1llTDGdAKT7gPg76y1TxpjbgS+BkSATuAj1toBd5sFtYmcL9+ADoo5UwfkKN7n9H5rbdrd5t3Alyl+/rwEfMJaOzFbm6xvF/psm9H+78AngLi1dsxdp1yTBbnIvrQSeBC4HsgC37XWPuBuo32pLMhF8u0+4HNAnuL+9HPW2l+52yjfZEnpTOLa9MfW2mvdx5PGGC/Fe1x+xlrbBjwLfAlgoW0iM5yRb8AU8Hlr7ZXATiAK/C2AMSYGfAN4t7V2C5CaS5uI6+xcA0oF3xlTdSvX5BI4X749DLxgrW2z1m4Hvg7al8olcfZ3tyrgX4C3W2uvBR6gWPgp3+SyUJG4PlwPTFpr97qvHwLuXWSbyHlZazuttQfc5QLwInCF2/wHwH5r7fS9Tx8CPjiHNpHzcr9IfRH4/FlNyjW5pIwxWyke+PrX6XXW2hPuovalcql53EfcfV0B9LjLyjdZcioS16bvGGMOGmO+aoypAJqBY9ON1tpTgNe9bGahbSLTzs63EmNMBLgP+LG76oycArqApjm0icD5c+1B4IvW2tNn9VWuyWKdnW/bKH5J/6Yx5mVjzE+NMdvdvtqXymKdkW9unvwF8LIxpgv4R+B+t6/yTZacisS15xZr7TXALopHoL6yzPHI2nbBfDPG+IH/Bn5urf3xBbYXmatzcs0Ycy8wZa393+UNTdag8322+YAbgYette3AN/n9ATCRxTjf51sC+Etgl7W2meLVEo8aYzzLGKesIyoS1xhrbbf7nAG+CryV4lHy6cv9MMZsAArW2qFFtIlcKN8wxviA7wDDwGdnbHJGTlE84tk9hzZZ5y6Qa28D7jDGdLoTPwD8xhizDeWaLMJF9qVd0xOHWGt/CNS5+0btS2XBLpBvdwEj1lrrtn0P2Awo3+SyUJG4hhhjyowx5e6yB/gQ8ArFmfsixpib3a6fBr7vLi+0Tda5C+WbO2j+YYqzsX3SWjtzQpEngF3u2B4o5tT35tAm69iFcs1ae7+1ttFa22KtbXG7b7fW/hblmizQLPvS8elLTI0xtwJDwCDal8oCXSTfOoB2Y0yN23Y7MAqcQvkml4HHcZzZe8mqYIzZBDxC8ZIYH/Bb4LPW2j5jzE0UZ8UK8/vpkPvd7RbUJuvbhfINaAd+ArxOsVAEeM5a+xl3u3uAf3K3OQB83Fo7PlubrF8X+2w7q5/DmbfAUK7JvM2yL72B4pmeEDAB/LW19kV3O+1LZd5mybfPA5+iOGt4huLM4Xvd7ZRvsqRUJIqIiIiIiEiJLjcVERERERGREhWJIiIiIiIiUqIiUUREREREREpUJIqIiIiIiEiJikQREREREREpUZEoIiIiIiIiJSoSRUREREREpERFooiIiIiIiJT8P9mHrkTvbOwqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (15, 5))\n",
"sns.distplot(selling)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Look at this, already normal distribution, coincidence? (I really wanted to show off unit scaling skills, too bad :/ )\n",
"\n",
"Now let's change our into Pandas, for lagging analysis."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>timestamp</th>\n",
" <th>selling</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2018-01-03</td>\n",
" <td>5632</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2018-01-04</td>\n",
" <td>5579</td>\n",
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" <tr>\n",
" <th>2</th>\n",
" <td>2018-01-05</td>\n",
" <td>5608</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2018-01-08</td>\n",
" <td>5585</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2018-01-09</td>\n",
" <td>5592</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" timestamp selling\n",
"0 2018-01-03 5632\n",
"1 2018-01-04 5579\n",
"2 2018-01-05 5608\n",
"3 2018-01-08 5585\n",
"4 2018-01-09 5592"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"df = pd.DataFrame({'timestamp':timestamp, 'selling':selling})\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def df_shift(df, lag = 0, start = 1, skip = 1, rejected_columns = []):\n",
" df = df.copy()\n",
" if not lag:\n",
" return df\n",
" cols = {}\n",
" for i in range(start, lag + 1, skip):\n",
" for x in list(df.columns):\n",
" if x not in rejected_columns:\n",
" if not x in cols:\n",
" cols[x] = ['{}_{}'.format(x, i)]\n",
" else:\n",
" cols[x].append('{}_{}'.format(x, i))\n",
" for k, v in cols.items():\n",
" columns = v\n",
" dfn = pd.DataFrame(data = None, columns = columns, index = df.index)\n",
" i = start - 1\n",
" for c in columns:\n",
" dfn[c] = df[k].shift(periods = i)\n",
" i += skip\n",
" df = pd.concat([df, dfn], axis = 1, join_axes = [df.index])\n",
" return df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Shifted and moving average are not same.**"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"df_crosscorrelated = df_shift(\n",
" df, lag = 12, start = 4, skip = 2, rejected_columns = ['timestamp']\n",
")\n",
"df_crosscorrelated['ma7'] = df_crosscorrelated['selling'].rolling(7).mean()\n",
"df_crosscorrelated['ma14'] = df_crosscorrelated['selling'].rolling(14).mean()\n",
"df_crosscorrelated['ma21'] = df_crosscorrelated['selling'].rolling(21).mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## why we lagged or shifted to certain units?\n",
"\n",
"Virals took some time, impacts took some time, same goes to price lot / unit.\n",
"\n",
"Now I want to `lag` for until 12 units, `start` at 4 units shifted, `skip` every 2 units."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>timestamp</th>\n",
" <th>selling</th>\n",
" <th>selling_4</th>\n",
" <th>selling_6</th>\n",
" <th>selling_8</th>\n",
" <th>selling_10</th>\n",
" <th>selling_12</th>\n",
" <th>ma7</th>\n",
" <th>ma14</th>\n",
" <th>ma21</th>\n",
" </tr>\n",
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" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2018-01-03</td>\n",
" <td>5632</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>1</th>\n",
" <td>2018-01-04</td>\n",
" <td>5579</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2018-01-05</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2018-01-08</td>\n",
" <td>5585</td>\n",
" <td>5632.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2018-01-09</td>\n",
" <td>5592</td>\n",
" <td>5579.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>2018-01-10</td>\n",
" <td>5577</td>\n",
" <td>5608.0</td>\n",
" <td>5632.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>2018-01-11</td>\n",
" <td>5599</td>\n",
" <td>5585.0</td>\n",
" <td>5579.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>5596.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>7</th>\n",
" <td>2018-01-12</td>\n",
" <td>5584</td>\n",
" <td>5592.0</td>\n",
" <td>5608.0</td>\n",
" <td>5632.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>5589.142857</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>2018-01-15</td>\n",
" <td>5622</td>\n",
" <td>5577.0</td>\n",
" <td>5585.0</td>\n",
" <td>5579.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>5595.285714</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>2018-01-16</td>\n",
" <td>5627</td>\n",
" <td>5599.0</td>\n",
" <td>5592.0</td>\n",
" <td>5608.0</td>\n",
" <td>5632.0</td>\n",
" <td>NaN</td>\n",
" <td>5598.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" timestamp selling selling_4 selling_6 selling_8 selling_10 \\\n",
"0 2018-01-03 5632 NaN NaN NaN NaN \n",
"1 2018-01-04 5579 NaN NaN NaN NaN \n",
"2 2018-01-05 5608 NaN NaN NaN NaN \n",
"3 2018-01-08 5585 5632.0 NaN NaN NaN \n",
"4 2018-01-09 5592 5579.0 NaN NaN NaN \n",
"5 2018-01-10 5577 5608.0 5632.0 NaN NaN \n",
"6 2018-01-11 5599 5585.0 5579.0 NaN NaN \n",
"7 2018-01-12 5584 5592.0 5608.0 5632.0 NaN \n",
"8 2018-01-15 5622 5577.0 5585.0 5579.0 NaN \n",
"9 2018-01-16 5627 5599.0 5592.0 5608.0 5632.0 \n",
"\n",
" selling_12 ma7 ma14 ma21 \n",
"0 NaN NaN NaN NaN \n",
"1 NaN NaN NaN NaN \n",
"2 NaN NaN NaN NaN \n",
"3 NaN NaN NaN NaN \n",
"4 NaN NaN NaN NaN \n",
"5 NaN NaN NaN NaN \n",
"6 NaN 5596.000000 NaN NaN \n",
"7 NaN 5589.142857 NaN NaN \n",
"8 NaN 5595.285714 NaN NaN \n",
"9 NaN 5598.000000 NaN NaN "
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_crosscorrelated.head(10)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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Yc6fz+//5tl/vOjdE5CfYILb7PKI0FOAXxpg/ONt/xFB26Buwf9MVzrZvUeisinzXjTHnEs1s7AyM/bDjg1UiclLAvQeOH4wx5zrvx5nAccaYAWfToQwlG1yK1e5fisjRxsne8vE2rLMth+3r3yEi040zmyWC8cBO32cvYL+3BYjN4luAdfK6x7r7DzvW6c98ERsAqiijMSp+GNZQxhWPm4qNRnh5Epsuvwf4N+yX4lkR+ZXYtEewXutvisgOsdG557Ev20t958LJcPgVtvMFtoPrRlLvwmajfBt4TkS+73SM/OeIagt4jL/ToYWhFzItUfc2Fdvhd6+V9/7uRWxkczE2HTh1ET8ROUREbhGR/xObQfJDbHTDZRlD0QRv9PkIbJrjs557+B7WA+9S0OaYa00F/s/XsfMefwTwEfdazvUOc47zcxjR05+8Iv4iMFaceg4icomIPOS5xssofB5h78BU4HnPZ0Htf6uv/adhPeSJcP7WN2PnDQeliB+NjYR80BhzX8D207DR958lvWYAuwHvd2cisNv5u10OPGyM+V3cSYwxf8VGCtxUUv953XPvSvCOuxH5rxhjdjhRlO9hhVipPqoTVdYJh09inRaHYadxfAY7fWi/iGMAm1UgIleJyBbHdj/hbHJt4zJgntjM0XnAA56B2xHALzz3sBnr1DrEc4nBdsdcazJDdT6GHetc69U+O/s2rN3zcxjWZm8P2Aa2ron3nX0R5+8oIq8WkbvFRlRfwL4LB/mO9+uM+w4U/N0C2j/V1/6PU/isAhEb3f8KhYOlNATZdrDZQu41WrGZVL8zxnwp5bl2G2PyzoB0Afa79iz2uW3CBgEKMMb8Hzab7hbn933YjII3Yp/vR7B1Ntxju7HOwM8bY/YaY9ZhHU5ubY4o/VIqi+pCbehCLHF9z4jjQu1k1DMnmR33jy+ibLL/mbxIYbZZEo1ySTu+cDUjTkNDjw1of55Ce5n4XQ/CGHOvYy93YJ05R2EzhweJGz8YY/YZO53zbBFxHWndWOfgdc72W5z7CMycM8ZsMMZ0G2NedPRlB4VFwsMIHT/47uFUbF/lLWYoq2m3Z/+gYz+NnWb4RIJ2lJTRmKm0FThcRJpihOEZ7Evv5XCc1HtjzB1Yj2Qr1gu6BPsibQW+YDxzkmNYDnxKRO7Fdprd6BXG1iT4lthVTH6CTV38hP8EEW0phqAOS+i9ic3iOMzze877u4+J2OlGPxabGeIWrHtaRN4a5Fzw8UWnfScYW+PiAgqng/0U+KqIHIrNWJrpaX8vcFDE395/31HXehZ4qRRGDL3G231eX4i5H3ffC2P38iE2yrMEO+Wg3djaUA8RU8/K4VngQBHZz9Nh8P7NtmIN07vStstpWw5bb+oQ4A1O59rf9rXA5zwRPT8LsJGg3SHbk9CBjbi7WWQvZygV+vXAbBFxnTkHAieLjXgEdUSasPPf3fP+k4hMMENT4F6OFYDIdxxbM2Mvhe+bDhJqB9WJZJRTJwBOAn7sRmOBG8RGsY9nKF09jPnY7MczsZ3h/bFTBHIAxphNIvIkNvPHG3xw72GhJ6rsvYcjnR+99x51rW3YrNdDsbVVYLidXWeMSRJV3Iq12ZMSREL9LMNq11xjTI/zHP1OpTCexbbfrf/mb//jxphjUrYH7LSKI4H7HDvZjM326QROTdApdm27W3/q5cDfjTFdAI7D8FbsYCauuHWUTuBkUbiZFJOw0f8/hpzLqxNuDY/BKRQi8ltsLUOwK8n58b5bke1SKorqQjLKrQuRxPU9Y4izk2HPPIkd9z+XqGs9i80yde+pFTuNzCVUowLYiscepSBSQ2NwNQMY/Jt4M/bTvutx5APalXT84LXXD2MzCv3nLqYdQTwKNInIMU7AGny2XWwJlduwf+fBcijGmO0i8qyz/50Bx74eOFRELnd+n4wtVv9lY8yXU9xLakajU+kP2Jf9KhH5FNaze0rAF3M1cI2IzMca5DdjO7KrxE6jOhU7IO7Geg3d1LnvAp8TkYeMLQi6P7aQ708JZjW27s5nsZ3nAQAReSU2k+wB7LzbHs81BolpSzFsc87zTwx1hKPu7VfAtSIyD/sleC/BkVawaXrebJ3DsH8Xt7idWwTwHhO8VPwE5xwviE01X+TdaIzZ5hx/Pbazu9n5/FkR+TXW4fQJ7LM6ClsgM7BIdMy12rHvz/tE5DvYSOSrGEppXYKNJKx17m8/7JSHe01hHR6w8/S/JrbQ83ewnevjTcjyxx7GYY2Y+9wuxVPnIQpjpwr+Cfi0iFyJff7nYaO6YLOy/ii2NsZabJbXqcBjnkFeFN/BRg7ONHZKxSDOs7wLuNYYE1bLqBU77eJfAraNwTpqGrCGeSywzwwV1vNyE/CfIrIa+6w+gq3hAbaw3VjPviuwA4frnOtcBtxm7DK5x2Pnh98BYIx51HHgfcp5fnOxhQ7fTMw7bozZKyI/xq7Y8CBWrP+dwtUdlOqhOpGMcuoE2EH7W0XkFuda7kqKjzn39WlsQc05AcdOwAYRurC294sB+yzDRjlPdc7t8l3gCyKywLGTk4HXGM+yw0mv5Tj6V2Dt7GXYweUl2AUXwNr+q8ROrXPrs5yEzUYpmLbiaNgabK2O92L/jjONMfeGtMvfxuedwcursAOGXyc4Duy7/TER+aNzf16H+x+w2ZkfxdZn2Yu1+63GmDCni8tfKBw8vgY7yHoFQ5rWjH3Hc8AYx9bvdb4DN2EdjT/CDuSvxNY4dDXiZ9j3fYEZmt4QRpROICKnYOvNHIjNALnNyWBC7IIR9xljnnKCJV/AUxNR7BTvR537uByb7XuDs/le7LvwMRH5EnaKw+nYIryx7VIqiupCMsqqC46DogXbT8axCXljTK+zS2jf09k/D5xughedibOTgc+cFHY84bV+BvxObMH3P2GzT7zOijQadR3wa7E1UO/G2p8JJn5KYBINDcP9m16AfTbvpvBvmvZdH0TsokZjgI3YAuKfx07p2+zZJ3D8IDYT7yjsOK0Pm6n3Oobs7S+A/xWRBdgx0L9gnWFBAabDsfr1R+z37f1Yp+AGZ3voe2qM2eP0Cz7r9AtOwjrwXuPs+zKsE/r9xpiVDOcm4EpnDHcIdsr1pc6211O44vQfsYtgFCyQVA5G3fQ3Z9B5HrYQ8lPYCNa/BezXha118BHsF+q/gXONnVPZgP0DPYNN2ZsNvMc57hfAl4FbxKYL/gU72AxrTy92IHsmhZHSiVinxHZs2mwXwQPO0LYUg5O58gVgg9j0xFOj7s15Lm8FrnLaegwBX0Jn37wxptP9x9Aywn83trYP2C9qmAf+M9hO5wtYw7UiYJ9lDH+mYDvzzdiI63as4Y6azhV6Laet8xhaGePtWOPZ62z/E/aLfq1zrcfwrEDgxXEynYV9NzuBv2I7lpEYu3LYV7EOrr9j6/MkiVy4vA2bydWFNcw/9rR/K9bIfRz7N9qKdao1AIjIx50BzjCcjvV/YA1lp4jsdv65A7fLsB2OT3u2+aMJF2Cf690MZwm2E3QR8D/Ozxc7136t71zfwzrKNmLf2V85n2Hs1DPvu7gX2GmG5ovPAjaKyB5sZ2K18zxcLsRmJG3HvvtvMcZsS/iOvw/biXsG+/dbhu2sKFVGdSIZ5dQJhy9jC1A+hLUFHwbe7MnSidKJm7DP5P+w9j5oiqtbw+IuU1gv4ZvYwc2vRWSXc+yrA45Peq33YR3HndgpGcsZsrO7sFOdLsT+fTqd+x62oIPDxdjpUo9ga/V8KGQ/P5djO7C7sNMKA1eXC+Gz2O/A49gB6M887e/HfgdOcrb/A/gB9n6D7PEgxpg+n518HhhwfncDBL/G2vfXAN93fn6dc/zt2Olzd2O/p08yVPPwNU67zsauQuXqzGtD2hWqEw7fxL6DBvt982bwHg/81tGJDc4+3u0XY50Rz2E7/Ge5A2Ani+JN2KnPL2C/z5d4Bnxx7VIqhOpCMiqgC0dg7YCbmdGN/c7F9j3Frt63C/t9CiLSToY98wx2PPJaxq6w9n6sg+pZbF/xORy7SwqNMrbm0aXYRR1ewNbh82fSBZFEQwPx/E2/gv2butnFrt2LfNdFZI3YGrRBHIIdq+zELqx0JPb75c1ICxs/5LAOuuew/fIPAv9mjHnAadfz2JpS/4V9VlcAbzJDq+F9V0TcQPgErANzO/YZ/TM268ydphj6njpcjnWKPYftEwyurIe1HZOxxfHdd9ibofop7KyYJ7F/z6sdPcQY0+XT1X5guyluxkcicvm8zrhQagux09Z+Yox5TezONYaI/B74rhkq1ldXONkzjxhjPhW7s6IoShVxMgVf7+nE1QVil6SfYoxZELtzDSIi7wEuNMbErYqjKIpSM4jI24EZxpiPVbstaRCR8VgnyTHGmMer3Z60iK1x9TTwNmNMUKBYGQGMxulvSo1j7NSqunAoiV1q0mCjs2/DTn9Ks+R1VXHSpJ/HRpjPxkZME63qpiiKUk2MMSdVuw1JcFLum7HR8Vdis1svq2qjUiB21bl/wmZUHoONol4beZCiKEqNYYz5YbXbkBQROQ87jTYH/C9WP56oZpvSILZ0xu+xGTqLsPeRONtJqT/UqaQoxSHYlNVx2DTMtxi7LGu9MAWbytuGjSK8xxjzYHWbpCiKMqKYgE1vn4qdpvxVIKw+Uy3SjJ1ydRQ2Wn4LQ6tgKoqiKKXnTdjp0jns1LELTX2t+jgTO0XQLTlyQVCNK2XkoNPfFEVRFEVRFEVRFEVRlNSMukLdiqIoiqIoiqIoiqIoSvHU4/S3FmxNgmexFc0VRVEUSyN2NcM/MrRKyGhDNUJRFCUc1QnVCUVRlChS60Q9OpVeCdxX7UYoiqLUMK8F1le7EVVCNUJRFCUe1QlFURQlisQ6UY9OpWcBtm/fw8BA8npQbW3j6eraXbZGlRptb/mop7aCtrfc1FN749ra0JDjgAPGgWMnRymZNALq610AbW85qae2gra33NRTe1UnEqE6UYPUU1tB21tu6qm99dRWKI9OJHIqicgTQI/zD+Cjxpg7RGQh8GFs6mgf8GFjzH3OMadiVwtpxS6B+HZjzHNx2xLQDzAwkE8tBGn3rzba3vJRT20FbW+5qaf2JmxrxdP5a0gnMmuEe1w9oe0tH/XUVtD2lpt6aq/qRCyqEzVKPbUVtL3lpp7aW09thdLrRJpC3W8xxpzk/LtDRNqAbwBnGmNOAj6LNeyISAPwQ+C9xphjgXuBq+K2KYqiKHWN6oSiKIoSheqEoijKCKOY1d9yzr8Jzu+TgKedn08Beowx7hy87wL/mmCboiiKMnJQnVAURVGiUJ1QFEWpc3L5fHzqk5Ou+gLW6K8HPm6M2SEi87FGfAfWQTXHGPOYiLwZWGiMeaPnHC8ChwKnh20zxjyfoM1HAo8nujtFUZTRyVHYqQAVo4Z04khUIxRFUeJQnVAURVGiSKwTSQt1v9YYs1VEWrApqteKyOXA+4BXGmOMiPwr8AsROTFLi9PS1bU71dzFyZMnsG3brjK2qLRoe8tHPbUVtL3lpp7aG9fWhoYcbW3jK9iiAmpKJ9JqBNTXuwDa3nJST20FbW+5qaf2qk4kR3WitqintoK2t9zUU3vrqa1QHp1I5FQyxmx1/t8rIouB24CzgR3GGONs+4mI3AAcBDwFHOEeLyIHAQPGmOdFJHRbqpYriqJUmPaOTlas20LXzl4acjCQh7aJLcybPY2ZM6ZUu3lVRXVCUZTRjlcjxo1tJJfLsbu7T3XCQXVCURQ/XrtZK7ayFttU68TWVBKRcSKyv/NzDrgQeAibNvoKETnY2XY6sBP4B3A/0CoipzmneTfwU+fnqG2Koig1SXtHJzeueYSunb2AdSgBdO3s5frVm2nv6CzJNRYt3sDCq+5i0eINJTlnJVCdUBRltNPe0cn1qzcPasSenn52d/cBViduXPNI3dj0cqA6oSiKH3/fuhZsZZo2uf328z/yy0z99nrt9weRJFPpEODnItIINAKbgMuNMc+KyFeAdSKyF+jFruiQB/IicjHwPREZi7PMJ4AxZiBsm6IoSq2yYt0W9vYNBG7r68+zfO2jRUUxXBFzr+GKGFAP0RHVCUVRRjXL1z5KX3/4VKq9fQOsWLelHux5uVCdUBThz0c6AAAgAElEQVSlgKC+tWsrz59zTM21yWu/i+2313m/fxixTiVjzN+Ak0O2fQ34Wsi23wInpN2mKIpSi7gRizDciHRWkopYLaI6oSjKaCeJBsTpyEhGdUJRFD9hNrGatjJpm4rtt9dzvz+I2OlviqIoiq2dVE5qUVgVRVGU0lFuHVEURaknwmxiNW1l0jYV228faf1+dSopiqIkYN7saTQ3hZvMcWMbizp/LQqroiiKkow4DWhuamDe7GkVao2iKErtE9S3rratTNqmYvvtI63fr04lRVGUBMycMYUFc6czvnX4rOHGHMw/S4o6fy0Kq6IoipKM+WcJuVzwtvGtTSyYO70upzQoiqKUC7dv7TpS2ia2VN1WJm1Tsf32kdbvT1KoW1EURcEKzcwZU8qy1Kh7vC5hqiiKUn+4tnr52kcH6yuNG9vI/LNE7biiKEoIbt+6lkjSJm+//fmdvRyYst8+0vr96lRSFEVJSbkEsBaFVVEURUmG2nBFUZTRg2vzJ0+ewLZtuzIfPxLQ6W+KoiiKoiiKoiiKoihKatSppCiKoiiKoiiKoiiKoqRGp78piqLUAO0dnSy707Cnpx+whV0vOvPYEZMWqyiKMhrw1txryMFAnrqvlaEoiqKUBq9GjBvbSC6XY3d3X93rhDqVFEVRqkx7RydLV22iPz/02e7uPq5fvRmgbgVGURRlNNHe0cmNax5hb98AYB1KAF07e7lxzSOA2nNFUZTRil8j3EAy1L9O6PQ3RVGUKrNi3ZYCh5JLX3+eFeu2VL5BiqIoSmpWrNsyOFjws7dvQO25oijKKCZKI6C+dUIzlRRFyYQ3fbOWUjbL1a72js6yLRXdtbM30zZFUZRa5eY7HmHdQ88wkIeGHMw+aSoXnzO92s1KjFdLJh/QygWnHRVr7+PstdpzRVFGMnF98EqNHbJep9ztS6IB9aoT6lRSFCU1/vRNb8rm+XMmVLwt3rnJvfsG6HPSfkqVStre0cn1qzcPnhdsyurSVZuKPjfYehthItI2saWocyuKolSam+94hLsffGbw94E8g79X07GUdMDg17ht27sTaUmULQcbjFAURRmJRI0NZs6YEru9Uu0o9XFpiNMIsEGYhVfdVVMB+ySoU0lRlNQEpW+6KZvnzzmmYu3wO3u8c5P97QqLlCSJQK9Yt6XAoeTSn4clKzfx2NM7ihoozZs9bVhNJYCmxhzzZk/LfF5FUZRSkSYCHcY9Dz1TUqdSmqhy0IBhycpNLF/76LBFEaI0Lkor5s2eVnANP7lcLu0tKoqi1AVxdjNs+5KVm1iyctNgRuvRh05ixbotPL+zlwMT2HW/BmS131mPCyOobXEaAfVbi09rKimKkpqwQUOlUzaXr3000Nnjx9sud2DhfuZGoNs7OhMdH8TdDz7DzXc8krDVw5k5YwoLzz2+IIo9vrWJS99wXF0IiaIoIxu/3XQ7u67d9G8PI58n0taWsk1+wmpZ7O7uG3ZcVo2bOWMKC+aGO83c6dOKoigjjTi7GWc/3YzW61ZtpmtnL3mi7XqYBmS136Uc24S1DWDB3OmDsxDGjW1kfKvN8WkIiDnUU40lzVRSFCU1YemblZ6qlbSD7m1XlkiEuyx0FOuKjMDPnDFFHUiKotQkWSLQUecqRUZrWlseNTDwH1eMxrnPoxY0UlEUpVLE2c0kU78ABvKFHe4wux6mAWF99jj7W8qxTZQ+XX35rECNWnjVXYHnqpcaS5qppChKaubNnkZzU6H5aG5qqMmpWv52ZYlExDmUku6jKIpSjxQbgU5yrlK3yU/cwMB7XLEaV08aqSiKUgri7F7Q9qQE2fUwWz+QJ5P9LaXdzjLWCNOoeglGaKaSoiipcT3s1V79bdzYxsA6SjkgjzXEJ05rY8W6LSxZuYm2iS2Mb20KzHCKMtpJoyvFFNar1dX0FEVRShWB9h5T7jb5beqJ09rYsLEzNKPK2y6/xiVd/c17/GNP7yhY/W7WCaXJRlWtUBSlFokbG/i3pyFIN6I0wK2tlMZOlnJsE9W2sNWkg+ot1VMwQp1KiqJkohama80/S4YVuG7MwcJzjw9daaIxZwtge2sxxRntJIX1XLIU1qvUihiKoihZiOvsBm1vasyRH8gX2OdSdpCj2hRkUzds7GTWCVP4w+a/DwtGBLXLq3GTJ09g27ZdidvW3tHJho2dgxmsA3nYsLGTow+dVPRKpKoViqLUKnFjA+92/yqhLg25XMEUuDDdiNKArGOUUo1tTpzWFnhvBx/QGrqa9MJzj2fB3Ol1GzRQp5KiKHVLXFQhaE5zfx7GjWlg/3FNiSPQ/us0N+XY158nHzLlLe1qEaVecUJRFKWUpI1Au9ujjilnmxYt3hBoUx/e0sU1H5pd9myfctl01QpFUUYKbh1Sb0ZnmtXfamXWRBAPb+kK/Nw8tSOwXEZ/nsh6S/WAOpUURalroqIKYem1e3r6ueZDs4HkEeiw65SisF6trKanKIoSRpoItP/zSrcpzqaWO9O2XDZdtUJRlJHExedMD1zkZuaMKYn657UwayKIqHpPaY+pFxI5lUTkCaDH+QfwUWAXsNiz28FApzHmFc4xpwLfA1qBJ4C3G2Oei9umKIpSKiqxSl0prlErq+kVg+qEoii1QrVtarmuX+37KhbVCUVRRgNhtjpqNel6seNhpMlUeosx5i++z05yfxCRW4H1zs8NwA+Bdxhj1ovIlcBVwMKobUXch6IoRTBSC39WouhdKa5R78X5PKhOKIpSEorRpWrb1HJdv9r3VSJUJxRFKYpaH7eE2epZJ0zhvoefLaipBLYebJ3Z8WGUZPqbiBwMnA38h/PRKUCPMWa98/t3sRGEhTHbFEWpMCO58Gcl5luX4hq1PC+8VKhOKIqSlGJ1qdo2tVzXr/Z9lRvVCUVR4qiHcUuUrT760EmBq7/VStuzksuHVZr14KSrvoBdqXs98HFjzA7P9v8CTjPGXOD8/mZgoTHmjZ59XgQOBU4P22aMeT5Bm48EHk+wn6IoCVj4+V+zbXv3sM8nH9DK0ivPrkKLlBJwFLZzXTFqSCeORDVCUeoa1aWKoDqhKErdofpQURLrRNJMpdcaY7aKSAvwDeBa4O2e7ZcCH0vTwmLp6trNQFS1Kx9pl4OtNtre8lFPbYXytzfIMLufZ7nu5MkTuO2ev5YlklqOdNd6eh/i2trQkKOtbXwFW1RATelEWo2A+noXQNtbTuqprVD/7fXb9rCCpVl1Kew6STWknp6v6kRyVCdqi3pqK2h7S0WYXQ5rb6nHLaWgVM+2UtP6yqETiZxKxpitzv97RWQxcJu7zSmSdyCw2nPIU8ARnn0OAgaMMc+LSOi2VC1XFKUklLrw5z33by1LWmqtpLvW+jzuaqE6oShKFoJsexhJdCnMRteKhoxmVCcURfESZZfPnzMh8JhyL1hQrX5+vWtUQ9wOIjJORPZ3fs4BFwIPeXZZCNxsjOnzfHY/0Coipzm/vxv4aYJtiqJUmHmzp9HcVGgKiin8edOazQWF6QD29g2wYt2WzG0EOy+5HOdNg2vwXTFzDX57R2fF2lCLqE4oipKVINseRBJdirLRtaAhoxnVCUVR/GSxy6Uet3ipZj+/3jUqSabSIcDPRaQRaAQ2AZcDiEgr8G/Aq70HGGMGRORi4HsiMhZnmc+4bYqiVJ4khT/TeO3/EZKWGhV9TkLY8cWeNw1RBr8eoghlRHVCUZRYXC15fmcvBzpaEpeZlCZaHGWja0FDRjmqE4qiFJDFLqdZsCBt1lE1+/n1rlGxTiVjzN+Ak0O2dQP7h2z7LXBC2m2KolSemTOmhBrLtOmYBx3QGjjfudi01HKnu7pECVCUwV+0eMOonRKnOqEoShxhWjJubCN7evqH7d82sYWrL5+V6hpRNrpSGlIuvNrUkIOBPHWlN6oTiqL4yWqXo8YtLlmmk1XKsRNkz93/+6kXjUpaqFtRlFFKWq/9JXOP45qfPFRwTNq01CBjO761icYc9HsMbqnSXb3XDRMgCDf47r7+Y+qho68oilIJwrSkeUwTzU0NRWmGS9gAJZcLHhRkvU6la274tcnVIdUbRVHqmXmzpxXYNihd3z5L1lElgg9h9jxofFHM+KnSQYfYmkqKooxu0nrt55xyGAvmTh80wG0TW1gwd3pio+afz+wa2d3dfeQacowb2whYB48rDqWa6xwmQMvXPsqNax4JdSj5qac50IqiKJUgTDN2d/cVpRlegmptAOQDbPf41qZM12nv6OT61ZsLAgnXr95c1pobUXWnVG8URalXZs6YUjL77ydL1tGJ09pSfZ6FuDqCDTn7/yzjp0prkxfNVFIUJZIsXvskaalhRBnbvv48Y5tzBVHtUkZqowY9QSTJXFIURVGitaQYzfDir7URZaNbxjRmuubytY/S11940r7+PMvXPlq2iHCcnqjeKIpSr5TK/vvJMn55eEtXqs+zEGevB/Kw9IozUp+3GtrkRZ1KiqJEUs7U1CDijG2Qg2dv3wDL7jRFp3yGCVAYbk2Leq7ToSiKUgkqpSXeAcrCq+4K3S+rIyYsyBD2uUsx0xLitEn1RlEUpZAsmlOJmkrlsudR2tTe0Vl2x5JOf1MUJZJSpKa2d3SyaPEGFl51F4sWb4hMxcxqTPf09Bed8hm2TKk75S6oreVc2lRRFGWkMHPGFGadMGUwtb8hB7NOKE+E2iVKTyrpiCl2WkLYtD5QvVEUZXQTNsbIMn4J04VS6kU17HklpsFpppKiKLEUk5qadvWFoMiCS3NTA2OacoErBfnJkvIZtkwpEBrtSLO0qaIoymilvaOTDRs7C4qSbtjYydGHTiqbvZw3exrXr948bEpAY47MHfew1erCgg9Q/LSEsGl9qjeKooxm4sYYaccvlcioLZc9D9MmqMw0OHUqKYpSVtKuvhBnbGG4gyeMuOkIQUQJUJjjqFzzwRVFUUYKWVbiKRb3vMvXPjqoB+PGNjL/LMl8zflnCUtXbSpYibQxZz8PI+uUOS+qM4qiKIWUWlcqFSguhz0P0iYvWcZEaVCnkqIoZSXL/OQwY+vWpEjiUMpKWN0L7dAriqJkpxK1KoIote2uVnZqNZeKVhRFqUXKoSuV7O+X0q67xy1ZuamUTUyMOpUURSkrWQpZBxlZSJ6h5BI1HSHsummm6imKoijJGEmLGqQddGSZMudFtUlRFGU49awr5bDrM2dMYdmdpii9yYo6lRRFKStR85OTOI+6dvayZOUmWsbk2NsXktMZQNx0hCCqMT1DURRlNFDqWhWlivBWIgMoy5Q5L6pNiqIow6nkCtWl1opy2fVi9SYr6lRSFKWsJC1+7Xrom8c0BGYj9e5L7lDKauyrNT1DURRlpOPVgud39nJgkY6gUkR4K5UBVOyUOdUmRVGU4VRqOnI5tKJcdr1aU7TVqaQoSmKyeumDpgosWrwh0ENfTL2k5qaG2OVCo6jnNFpFUZRaIEonXC3oeGoHN6zqYMnKTaxYtyV1h7dUEd5KZgAVU6dDtUlRlJFClrFEEl0pJ+XQinLa9WrUgVWnkqIoiSi1l74UEdZcDsaNbWJ3dx8NuSED77YprXAFpdECnDitrei2KoqijHSS6ER7Ryc33W7o3dcfuk8caSO8YVpQTKQ4Sl9KPU2iklM8FEVRykWWsUSx44+wUhve2kMtYxppaoQ9Pf2BNrscWUUjza6rU0lRRjFpOr5ZvfTea4xvbSKfzwcWkHNpbkpeO2m/lkYuOvPYgrnDXTt7WbpqE489vYMNGzuH1WZ67OkdXHzO9MDzzZwxhcee3sHdDz5T8PmGjZ0cfegkrV2hKIoSQZhOeDOSVqzbMuhQ8u/jrlrTMqaR17zsEB7e0hWoT2ERXrBZsH4HT9iAJOo87R2dmQY5EDy1G4orvgqVn86gKIqShKTjiaixhLu9a2cvDTkYyFsb3buvP1ZX0tjq61dvpr8/j3ek0buvn959DO7jHy+UI6topNl1dSopyiglrec/i5fef43d3X2x7Woe08isEw4e5tgJYk9PP8vuNAXF6AD684Qef/eDz0Q6iB7e0jXsMy2IqiiKMhz/QCJKD1yNSTLFuXdff4EN9+tTWFZp0L5Rg5h5s6eFLr8cZfPjBkblmFJXjekMiqIocYSNJx57esewwEDUWMJ7jgFPoDiKuLFLkK3u8w8aQvCOF8qVVTSS7HpDtRugKEp1iOsUe2nv6Iw816LFGwL3CbpGHLu7+7j4nOm867zjY5e/bJvYEpn1FEbQPbpoQVRFUZR43IGEaxuT2Mhiaub5pzcvmDs9NErs3TfKpkd15uMcZGGfq4YoijKaCBtP3P3gMwX6cOOaR0L79W4JiywEjV3aOzpZtHhD0XY3THPaJrYUVcPVbd/Cq+4KHUPVG5qppCijlKiO7we+ee9gVlGcY8c9xp26MPmAVi447ajIehVRuAbbjTCHOY3cCEFYlDmuvVHX14KoiqLUOt4sIa/drdQ13ekJlaRrZ++w7KiofQHGtzYFZsmOb7Vd4Cw2P+4Y1RBFUWodry0dN7aRXC7H7u6+kq1O6Wdv3wDNY5pobmoYlvFTTMDBbcPCq+4CoGVMjr6+/LBZDFnP61KqrKJKrTpaaTRTSVFGKVEdXG8HfE9Pf6psoG3bu7lxzSO0d3Rm6kR7U0mjhMqNELgDAz8tY8KdYVHtmjd7Gs1NhaaxngvnKYoy8vBnCXntbqWuGeVQKpcDJQcsXbUpUXaU24Z8Prih7udZbH7UMaohiqLUOn57vqenf7Dv7zo5kupJGnu/u7svMOMn7hzjxjYmvk7vvmiHUlNjjlzC9pZDy5avfTTxTJF6Qp1KijJKCer4lgpvvYo0HHdEYa2jMGPeNrFlcL+LzjyWpsZCeWhqzHHJPwunnzx12LFxnftSp7gqiqKUmjTTl8t5zSDaJrZw9eWzeNd5xyfSmCA7HUYeEkWfvXY+LCjifp7F5kcdoxqiKEqtE2fP0+hJmvHE+NYmZs6YwtWXz2LpFWdw9eWzBmsWhZ2juamB+WdJKl0Jo21iC5e+4Tgu85XY8I8j3OuWOhjQ3tEZWl+23qdI6/Q3RUlJqZcKrhZBqw6U0qC59Sq8S3bG8dz27oLfkxTGi1o9YeaMKRx96KTUf6+RVDhPUZTaJaueVKNuT5Jze+2z3zYH0TaxZXB1nSSLM0ThaljSleK8QYssNj/qGNUQRVEqRRYdSWLPk+pJUD/8xGlt3Pfws8OKYnf39AWurOk/h3f1N+/9JNGVMNyAh/+aLpUY30U56up9inQip5KIPAH0OP8APmqMuUNEDgS+DZwC7AN+bIz5rHPMqcD3gFbgCeDtxpjn4rYpSi0z0ubB+ju+aYraNTXmYldQaO/oZP5ZknjFn66dvYNtcA36grnTY428du6rj+qEoqSjGD2pRu23sGuGdf5hyP767xUKHVAXnzOdi8+Znrmwqnew4A4MlqzcNDi42bCxs+Sr9ijpUZ1QlNKSVUeSBJLT6ElQX/sPm/9OX39hULk/H76ypv8ckydPYNu2XZH7vf8b6xIFrpPY/FKPF4KcVFHPvN41KU3+2FuMMSc5/+5wPrsB+L0x5lhjzAzg+wAi0gD8EHivMeZY4F7gqrhtilLrVGPKQSWZN3taYApoEJe+4bhYwXGFI8l8aRf/ShHAsDRZpWZRnVCUhBSjJ9Wo2xM2PSHMoeTFrwOTD2gNnBKWZVq2976DVqTbsLGTWSdMiZyONhJX4qlhVCcUpURk1ZE4W1uMnrj2NMzZU8qM2r4If5I7va0aK7UFadGNax4JrQM7bmxj3Y9vMk9/E5FjgBOBN7mfGWPcp3wK0GOMWe/8/l1sBGFhzDZFqWlG+lLBrkFbvvbR0Dm/MFTTyN3fXXHBj/tc3P3SrtTmCmO9G9rRiuqEooRTjJ74pwBUYvW3qGkHSaLjXs2IikCHXSMIvzMrbID18JaugmkPXkZaBnK9oTqhKNnJqiN+W1vM6m9egrJS/ZQqo7a9o5PefeFepWs+NLsk18iiD2FaNKYpF7j63fyzpOi2Vps0TqUfiUgOWA98HDgeeBr4gYicDHQCi4wxHcDhwJPugcaYf4hIg5PeGrrNGPN80sa0tY1P0XTL5MkTUh9TTbS95SNrWycf0Mo2X90f9/Ny3r977nvu38pNazbzj+3dHHRAK5fMPY45pxxW0mudP2cC5885ZvB61/70z8OMdtfOXi77yt0MDOSZfEArE/Ybw64X9w1vt+e53Lq+PVN7nt/ZW/Z3azS8uxWiZnQii0ZAzT/fYWh7y0fZ7U6ReuK11X7KpRXuNRd+/tfD2r63b4BbfvNXbl3/eKLrht2je435n1gdqCsuOaChsYGJE8YOnitsIBWlI7eubw/s/N+6/vGC55vkb1IJjU5CjX/PVCcqTD21t57aCtVt7z33b6WhIcdAwFKcYTri/SxKQ7ISZE/9vHrGlJLY06hxhXv/aWxy0L63rn88kT5A4bN9PkSLXuzp5z/nv2JE6kRSp9JrjTFbRaQF+AZwLbACOBX4mDHmnSIyD7gNqMiEwK6u3YFfojDComK1ira3fBTT1gtOOyqwLsQFpx1Vtvt32+v3lm/b3s01P3mInbt6yhZNnXH4JC75ZwmMGrvfv23buweX5/R+IxtzFDyXoMFTEg6c2FLWd2skvbsNDbnMneQSUFM6kVYjoL7eBdD2lpNKtLWUeuJtbyW0Isye73px36AjKOq6SZ7vha8/JjK7Ne9c46vLHuCryx6gZUz41O0oHQm7l23buwePSdLeamh0EKoTyVGdqC3qqa1Q3fa69ibo/Q3TkUq0N0lff+0ft/LSg8ZF2sX2jk5uut0MBrWD7GnUtS447Shuu+evLF21aXDF0G3bu/nG8gcCbfLNdzxSsFiEe70wB5lXH2D4sz0wpGbVgRNbmHH4JL78HzMLz1fh96gcOpFo4roxZqvz/15gMTALeAp4yhhzn7NtBfASETnI2XaEe7zz2YATOYjapig1T/OYoa/NuLGNFVsquFr1nNylP6PSVfv68/hlLY/t4LtzkbNy4rS2zMcqlUN1QlHi8dZmWLFuS2ytnyyUUyvS2vOk1w2qWTFzxpRIR5Gf3n3hzoGo2iBh2pZ2isZIr7lYClQnFKU0BNkbsAsnROlIkvpAxdSYS2I3k9jFFeu2DJsl4T8u7FpufaJldxr86wn152HZnabgs/aOzsDVR/f2DdAQIkFx91mNuofVJjZTSUTGAU3GmBecdNULgYeA+4E9IjLDGNMhIq8Dnge6nP+3ishpzlzndwM/dU55f8Q2RalZguYJ7+tLF+EqhnLXc4pbSjPtdQbyeW663ZDP5xOt/BbGw1u6Mh+rVAbVCUWJJ6g2w4aNnSUPTERpRTFLJieplZGmPWHn7drZy5KVm1iychPJXUrRRN3jvNnTIlemS8pIr7lYLKoTilI6wuzKQD7c3t1z/9bY+kBpawh5NcVdCbSY9sdt934eZrvd+kRhhcL39PQPa3cYA3kCayAlWUkOyKy39UiS6W+HAD8XkUagEdgEXG6MyYvIpcD1Thrri8A8Y0weyIvIxcD3RGQszjKfAMaYgbBtilLLREUhK2EkyrmEdBIRSbL8qJ+oAnpJ0Q55XaA6oSgxVEpDwmz1+NamTAVHvZ3vqGv27O0L7MQnWSU0zFHljk9axuTo3ZdPNWhJev1Sdf7LqdEjBNUJRSkRWezNTWs2x2pQGp3yjx3S2OY4uxh2fw05uziQa6cXzJ2eyXYnbbd7zizX8C5OMRqIdSoZY/4GnByy7U/Aq0K2/RY4Ie02RalVqhWFvOf+rdywqiPwOv6llLN2ipOISFBEoBJoh7z2UZ1QlHiiNMTbSfZGjLPY9LDobVDWaJRTq72jM3YlUJerL58VmMmUJKKbREP39eVZesUZqbOlkmYclaLzX6qMp5GK6oSiFIdXE8a3NtGYo2B6l9/eePcfN7YxNHPHa4PTjHWiAgJRJLGL82ZPK6ip5OI6gNygyIK500NX9hzf2hSoX7kcidvt6u5ocg5lJc3qb4oyqonK1HHrP2QhauDgL1Tnb4+7b7FLIicRkbRLPWehqTFHn0chtUOuKMpIIS7b02u3gVQ23Rt8aJvYwqwTpvDwlq4CXQkreh3UpjTOG9fxnzXjJ0kWrDuQcM+17E4TOEDK5WC/Fjt4qvR0g9E43UFRlMrgt8l+Z8n41iYuOvPYgvGDt0h1mEMJCoO3aTKg0owF3CzTpHZx5owpTJwwdlDXgrJU4zJ9LzrzWK5fvblgXOEfZ0Rx+slT1X6nQJ1KipKQqE551ukLcc6goEJ1YI2y1zOfdlqF35EVFsHwi4jrrV+0eEOsmDTm4NjDJ7H5yR2R+3mvlTXFVFEUpdZJku3pLUQaZdP9EejefQODHeWwWk1hAYGgwULSCLTf8Z8lopvkuXhrXrjX8GdSjRvbyPyzpKqaoRFtRVHKQZxN3ruvcFtQkeog/DY8TcZl0rIYjTloHRucNRTFnFMOY8bhkwA75S2IqOuHOfrDtDCt40spRJ1KipKQmTOmpIr0JiHOGZQ0DTVNumqQIyuIxlz4ijlBouOKxp7uPg70GO6kaIqpoigjmaTZnnHb/DY8KCCwt2+AHzjFrsFGsV85/WA2bOxMNFhIomml6ngneS6zT5oaeJzqhaIoo4E4m7y3b4Bld5pBmxiVmeRl1gk2gL1k5abUdYqSlsXIkxt0KKWdSeGStWZdmE4EOc4qtZr3SEWdSoqSglIX4oxzBiUtVJemXUkj0HF7NI8ZWg3BGyGePHkC27btAgh1wvnRFFNFUUYD3g5uWMZnWB0Il+tWbUpUENW7y+7uPu57+Flee+JLhk2LC7K9SSLQYXUssuB9Ljff8QjrHnqGgbzVutknTeXic6YXfY1i6g4qiqJUkyQ22V3VLKldG9/aVBBo8Ncpcm3mkpWbWLFuyzCb6Q8IhC2kMJAv/DDLAhWlqFnnz/BtHmO1VvWgNA3NehkAACAASURBVKhTSVFSUOpCnFGr9ERNMfMXqpt1wpSSRqAB8nlYvvbRYZ1wGO7h39cXPMKJcoppiqmiKKOZqILaUaRd/cylrz/Puoee4Z3nHh9rc+Mi0F6NKrUdv/ic6SVxInkptu6goihKNUmaFeRmK8UFJ+IWb4Bkdf38mUDv/8a6RFlSaWd4FFuzLijDt7mpgXedF6+HSjLUqaQoKSh1Ic4gkWhqzNHd0xcoBmGF6v74yHOJ01Wbm3LsDXEC+dnd3TcsZdWboeRtQ1DUIWzQpCmmiqKMdsL0JGmGZxYG8iRyprjbglZ/82tU2GCjljKD0tYdVBRFqSZB9tPbzw/DzVa66MxjuW7V5mFZQmAXNJh1whTufvCZwHN07ezNZDPbOzoTT7vLMsOjmCnPqgHlR51KipKSUtZxCBpU9OztCy2aHSYkbuc+bjpCe0dnYodSEHv7BkKjJEFt09VwFEVRwh0sQXpSzhU2IXlH2lsQO06j/OestcygNHUHFUVRqkmY/XSnpQF84Jv3hmYiLbvTcM2HZoeukpnPw90PPkOOwmnSLlHjjSibmbSOajVWdlYNKD/qVFKUKuMfVGRZ4QCSrUCXpnB2WsKiDlpMVVGU0UxaB8u82dMKloIuB2k60lk0qtaiwqWuh6goilIuktjPi848NjSr1c1WissaCpIY1+GTZrVQlyhdcafjVSu4rBpQftSppCg1RlwdojCSDBKSDiTGjW0EglePGDe2kX19+WFT9nr29rHwqruYfEArF5x2lDqSFEVRSO9gmTljSuC0My/NTcOnIaehmI50ks55qaLCpZpCV+p6iIqiKOUiif2M04kV67YkKu4N4XVO09rMqDqx3/rg62LbEUcxeqAaUH4aqt0ARVEKmTd7Gs1NhV/N5qaG2OKsSQYJUfu867zjWXrFGSy94gyu+dBs5p8lge2Yf5awYO70wXONb20iP5AfdEBt297NjWseob2jM7Y9iqIoI50sDpYoh1LbxJYCG5yWYjvSYRrlPWdY29K02c3wcp+Tm+GVRVtmzphS8MzcZ6jBD0VRao2k9vOiM48NPUfXzt5AWx3EQB6WXnEGV18+a9AmZrGZYdoQ1c6kFKsHqgHlRzOVFKXG8NchcjN/4upsdO3sZdHiDZGe+7DVI04/eWpBLQz3WuNbmxjTlGNPT/+wqIB3WWz/AEiL3ymKoliypN1HHeOtnRdkz487YhJP/X3XoKO/ZUwjTY0E2vEsJKmVV4qocKmn0OlUbEVRahlv/9uPd0aA1+aGZSu1TWwZtHdhtZW8+waR1maWs45qKfRANaC8qFNJUSpMkvRNr+GbPHkC27btAoitsxFXqyPO4Ptrf+zu7otdclOL3ymKooSTxcESFgA4cVrb4M8zZ0zhsad3DFvB59GndpBryA3+3ruvn3y+tEsnx3XOSzG4UG1RFGW04O9/exnf2kR3z9ACCd6+/kVnHhupL94FF275zV/Z9eK+gnM3NzVw4rQ2Fi3eUBJHULkcN6oHtY86lRSlghSzIo67/abbN9O7L9yzFOe5jzL4WSIBWvxOURQlnCwOljCH0YaNnRx96KTBYx/e0jXs2P68+58h9vYNsHztoxWN0hY7uFBtURRltBDU/4Yhexc2I8DNXE0SrD5/zjHcds9fC/Y9cVobGzZ2Vm2lzqR1klQPah91KilKBSlF+mY+H7YI6BBZPfdpIgFRabpRUfhSFV5VFEWpF7I4WIIcRn69SGPrd3f30d7RWTV767X9UQs6RGkLQM/e6t6HoihKqcmSieNuS6Mv/n0XLd5QtZU60wTao7J3KzWu0PFLNOpUUpQYSmlEik3fDItkBJGl0500EhCVphs3WMiaqaUoijKSiNOWJHqRdHUfl2rVuvPbfndBByi0/VHa4rKnp191Q1GUEUVc/7tcWTrVXKkzTaA9LHv3voef5d6HnhlMzi3XuELHL/GoU0lRIggyIktWbmLJyk2ZHExp0jddA/38zl4OdK6VxshnmeoQFgno2tnLZV++i9knTeXic6ZHpukuvfLswRpQfkpdeFVRFKUWSNuhDtKWpas2DRZdbZvYwrixjYHFVb16EWSzG3PDZr8NEqYh5YrARmUdBdn+pIET1Q1FUUYSQbbcLc4dpANBMwKS2HH/Pkl0Jo6sDpe0Dq2g7N2+ALHb2zfAdas2xV4/DTp+iUedSooSQVQHN4uXOsxps+vFvQUrOgCBzqw0ZJ3qMKYpx96A1awH8gxGCLJGNrTQnqIoI40sHeogbenPD9XN6NrZS1NjLtBB1LO3j5vveISHt3QNrtLZ0tzIrhf3Mb61ib37+unvC/YqNeRg4VV3Mb61iXw+z56efsaNbaR338Bg57xUEdgkWUd+259GC1Q3FEWpZ/wOnlknTCmw697i3F5c+71k5SZWrNvCvNnThmXxBNnxe+7fOkyrgqjUSp1p6ySlsfkDeUqaSaTjl3gaqt0ARall4oyFazSTMnPGFKa9dGLAeQo788vXPpp4mlsUadrmDgCilh0FWPfQM6EGPy6ykfU4RVGUWiWqQx1Ee0dnoo5oX3+e/jzkfJ/v6enn7gefGTzH7u4+9u4b4PSTp7J338CgngQx4Gza3T00WNnT0z8s2hvX/kWLN7DwqrtYtHgD7R2dgfslyTry2/40WqC6oShKveL2uV073rWzlw0bO5k3expLrziDljGNgRmnNnAwULAS3JKVm4ZNC4PhdvymNZtjbfL41iYWzJ1e9pU62zs66d2XLAPLJa3NTztGi0LHL/GoU0lRIkhiLLp29g7rWId1uts7Otn85I7I8+3tGxi2ykNW0tbaSOLIGsjbjKvmpkLzkSSykfU4RVGUWiVph7q9o5MPfPPe1Fmn0csyWHr39bPuoWdKEoxwCVugwT8QunHNI4GOpTj9CbL9QRrhZmzFHasoilLruOODJSs3RQYjwuzn7u6+VHbee55t27tj928Z05ipHmuaz10d8Y91xo1tjHRoBelDHKXKJNLxSzw6/U0Zddxz/1ZuWNWRqHZE2HQ1P940U4DrV28umEpw/erNQLrMoVLgTnUYN7aRXC7H7u6+gmkP3vtPangbctmWyIbsxymKopSbpKuT+UmSwp9kKlixDCTxPqUgaKpcQ274dcKmOUQVEQ97vu7vbm0pgJYxDbzquEMGp4WobiiKUgzVWsUrzZTgtIswhNGQs9dddqdJtH/Sa3qf4fjWpmFTtaMcLmFB7LHNTZF/hyB9iKNUmUQ6foknkVNJRJ4Aepx/AB81xtwhInlgI+C+GRcbYzY6x5wHXO1c437gUmPMi3HbFKWctHd0ctPtZjDlMq52hN+IROEWhhvT1DhsKkFffz6VESwVbuffO6XN2wbv/ScVsNknTQWyLZFdzHFKbaM6odQzSVcnCyIo+ODvUKdZubNW8E6V83/mJ0g7wp7LgrnTOX/OMaELOgDs3Td0zJ6efjZs7Ew9JUOpPVQnlGpTzVW8kupAe0dnqP0c05SLLVPhZSBPquzYJE4Y/zPc3d1HU2OOcWMahgWsgyi2PpFXH6IodSaRjl+iSZOp9BZjzF8CPn+NMWa39wMRGQ8sAV5rjPmriPwA+C/gs1Hbst2CoiRnxbotw+bwxhWT8xqRhVfdFXn+gTyBc4SBwRV94oxmU2OO/v58oikPXnIkmybhx73/IAHLOf/J5220w139TVFCUJ1Q6pJiVnZJEsEsdzHPxoYc+TwM5LOlKzXmoHVsE7u7+wKzkZKwaPGGgvvOGtkN+1ssu9Noh35koDqhVI1qruKVVAdWrNvC1ZfPGvzZaz+BsmW9NjXmEjlhgp5hX3+e/cc1cc2HZscen7ZAd9y1w64RpjfVylQb6ZRr+ttc4E/GmL86v38XuBFr6KO2KUpZyeoddw1QscybPY2lqzaFLvcMkB9I71CCbA4ll66dvakHAGqUlSJRnVBqhmIjp0ERTK+NzOqoScL41ib29PSRxp8UNg0a4oMnYQRF/LNEdsOe+Z6e/kwrmip1jeqEUlKquYpX0hkB7j5R9rMcsx/yCUWq2GeYJLs37bUh2pHkUs1MtZFOGqfSj0QkB6wHPm6McasN3yMiTcAa4NPGmF7gcOBJz7FPAYc5P0dtS0xb2/i0hzB58oTUx1QTbW/pmXxAa2ChuskHtIa2/577txZMmcvKhP3GcP6cY5g4YSxfW/5A4ACgoSFHf7lGHhG493/+nAmcP+eY2P39z6RrZy833W6YOGEscyZPqIt3wUs9tbfG21ozOpFFI6Dmn+8wtL2lYcJ+Y9j14r7Az7O02W8jw8x62HWT8oaZR/CbPz2dyqE0+YBWll55duT2uIKuDQ05BgJuam/fALeufzyRjoQ916jrJz13OajVdzeIGm+r6kSFqaf2lrutUfal46kdzDkl3ZA0TXvfce4MvrrsgfhzRoxJgMG++nd+9hCr258M3S8t/flkNjbLWMrL+XMmMHHCWG5as5l/bO/moANauWTucYHP3n++qGtH6ZrLrevbAzPVSqEt9fQ9g9K3N6lT6bXGmK0i0gJ8A7gWeDtwuPP5ROBm4BPAlSVtYQhdXbsDOzRhTJ48IXL+fq2h7S0PF5x21DAHUXNTAxecdlRo+7+74s9FO5QAdr24j3d85nbmzZ7GnJOmBi7/meadLhVx9x/EDas6hj2T3n393LCqgzmnHFYX74JLvby7EN/WhoZc5k5yCagpnUirEVBf7wJoe0tFe0dnqGPHa7fTRDGDbKSX8a1NXHTmscycMYVFizdkipKffvJUfh+yLHMYSez9BacdFTm9wq2LFFanY9v27ti/c9S7cMFpRxV17nJQq+9uEKoTyVGdqC3K2VZv5mgYX1/+AF9d9kDi7Pu07Z1x+CTGjW2MrImUpk/++4BVN11axjRmGrv4bWzQrIQgjUg7lphx+CS+/B8zC6/tOzbo+RZ77TCHYrHaUk/fMyiPTiRal88Ys9X5fy+wGJjl+3wn8AP3c2y04AjPKQ4HtibYpihlZeaMKbzvrS8fnLfbNrElsvhne0dnpPF/13nHBy4xefrJUwPnBnft7GXJyk3c9/CzRdxFMsa3Ng22YdzYRsa3Ng1+Pm5sIxB//2FUM31YqU1UJ5R6xE2Fj8JNj2+P6MAHHROFW2i0PaVTCKw9P/3kqYOroYXR3NTAcUdMoiFnf2/IwawT4qejzZwxhQVzpw/qR5hmpF1G2qW9o5OFn/81C6+6i0WLNwx7rjNnTBnUq7TnVmob1QmlGrh2Ps4uu/7FLDY/aTtyuVzo9vGtTan65HH30xh+qUhc23zzHY8UPDfvVDGvRmQdS2TBr09pr51Vt5R4YjOVRGQc0GSMecFJV70QeEhEDgB6jDHdTrrqW4CHnMNuB64VkWOcuc7vBn6SYJuilJ05pxzGjMMnJdo3qo5S28SWwNXh9vYNcPeDzwQuseniXx2u1DQ3NQxGwUtJXG0pNcqjE9UJpV5JWvQzTSHX9o7O2BpKbuHpfX35TAVXN2zsjDzOdSBt2Ng52I6BvD3u6EMnJXIsxdWlCHKGNebgxGltg9lX/oh/0noWF515bOaaG0ptojqhVIssq2+G2Xxv5s7kA1q54LSjEuvC9as3R/b/k6xqlrRWX+++/oIV2dLStbM3cEaF+1yuvnxWWZ1I7R2d3Lq+nW3bu4fpSDGrsBVTz0mJJsn0t0OAn4tII9AIbAIuB6YD33OWAR0D/BabrooxZpeI/DuwyjnuQeCDcdsUpdaIigK4Bsg1bP4C3KUuoOenuakhUCTdAqxLVm4aXNWtFIbfPxgIao8a5VGL6oRSl6TJrkyyr2snk8yoydLRT3KcOz2t1KscJZk+MgDc9/CzgwMnv9MoaZuyrhyn1DSqE0pVyJpF7z/O3w/etr07cZHn5WsfjQ0o7+0b4LpVm1iyclOgzbv5jkcKHD1xOuOuyDb/LBnWf29qzGUOcKd9nmkX9ilnMW3VlvIR61QyxvwNODlg07PAiRHH/RL4ZdptilJLhK3UML61qSDyet2qTSVf2adtYgvbd/UGnteNQvujCI056NnbH9qhL4aoSI8a5dGN6oRSryRdjQcYnEYWRZaIeCnx2uKwukTu/abp6McFFVzy+eGZuF6nUZqp08VEo5XaQ3VCqRZhdt7N9AnL+PFn3xfjqE8aaPZPwQNrC9s7OgMzh+Lwru586/rHBzN/evb20defLbCRZlZCFgdRqQMiflRbykOimkqKMlqZN3taYM2ki848FkgXlU5L185ghxJY0Xl4S9ewz/sjOvSlaE8Y5U6DVRRFKQdBNj6MJHa+mnXl2ia2FNjiqI7/B755L0tXbRpWKyOshkixzjL3OlrPQlGUShPWl3/nucez9IozeOe5wfVR/dn3la4n6u2/Z+3Hu/XpZs6YwtIrz2bpFWdw9eWzMmfKpp2VEOUgCqK9o1PrttYpSVd/U5RRSVyaZDmj0m4nuxTGtWtnL+0dnZFzw+Mi1WGRHh0MKIpSrwTZ+J69fYEd7iQFqONqKZWLljGNwzr6QbUjXIKi5t5IsF8biu3Mu89O61koilJp4vrySadEjW9tCrSdSfrBcau+hdG1s5eb74guMp4DwmSnu6cvsP+fxK43NzUw64Qpg4tCZJmVkGYME7dwho43aht1KimjiqjCb2FEpUnGGeSGXI5cLk9/Br9T187e0BVwsuBPN02bkqqDAUVRRiJ+G9/e0clNt5uCQtRxts5f6yINuZydNpaG5qYcE/ZrHtSJXC43rI5e0EIScbgBCL82JKUxB7mGwlod3mcXNA1Dp04rilJqgoKmV18+K3T/JIsTdPcET2Hr2tnLosUbIm3Z/LNkWO3VpMRpy5yTp3LvQ88Enrs/T+C0sXmzp4VOkYZkZS3iAtNRgZYgB1FUoF7HG7WPOpWUUUM5Cr/FefoH8vnw8EECSlns2z8fOe2cZS1upyjKaGDmjClMnDCWG1Z1JK43lNWh5BbVBlvINanNz+XstGO/M8uva+6/hVfdlei848Y2ps7AdQcN7nOCaJ2YOWMK5885hm3bdiW+hqIoSlLK0d9fsW5LpEOoa2cv16/eHHqNLE7+JJx+8lQuPmc6f3zkuVD9CLtey5gcvfuG31RTY67oYtpR5UH8DqIki0AsmDtdxxs1jjqVlFFDmBNl+dpHEzlKgjzyUdMLwijFVIIowtJzoVBYskyr0+J2iqKMBOIirHNOOYwZh08q2H/R4g0Fyzi7x6WtdeEeP25s42CGUdvElsFafUmmnfXuy4dmR7krCMHQQCap7uRyucj93CkccY421QlFUapFqQo9J3F2eOnrz7N87aORdjFstgCkX5FtfGsTRx86ifaOzsiAhD8raOjawdfq688P0xA/cc84LDjRkCt0ECVZBKJtYotqSh2gTiVl1BAmCru7+waNsRtpWHanKeg4A4Ee+QVzp7Ng7vTIFNKk7SgVr5x+8OD8Zz9eYSlHjaQs0wsVRVHKRZDzCILtOQR3oP2dXu/qPNev/v/t3X2QHOV9J/DvvGhfLO1GsKy96EC2b0HPwh4yMnHOG4El5cCyXIa4VCQxFEJGPsecfMGJL5QvLl+5KnV1h0+XHL4QnR0ZLKMAjikrGMmAAkGsI3nr7CiSJe9KD3jNi3zyGLFIXgl2Z3d25v6Y6VFPTz/dT/d0T3fPfD9VKrTTMzu/aUbPr/t5+T3HPd0EmGcmlX/nQk0MmzcM1SzRMDqy7IweUc+OKpZqlzzrDoCcnyk4dkB1dWTxV3+8xvF3EBFFKYhapLo7XlrpzjZVzf7/1tPHlZ09du/1zaeOo+RSyM+6bExnNqo1h1i5nWPV8WKp9ve5xcJlb8nB3d+obehsBw2Ue+iNYnpT03k8tHcC39g74dgj76Ujpq+3M9BaSVZHJ6eUO12YG2ad53hhJODTZ2YAuO8mREQUJqNNsu5w9thzL3rajcbporewUIJmagEArL6mPIK7Y486p5g5tcduBcGtv29R9kKkKUXQ5o43O9x9h4jizOma08u1epgb8RhGhgewbevq6o5sI8MD2h1KhsJCyXFZ3rpVy6rL0bb813/Alvue127HnfKi206eujt9OsXSf1E3l70lCDuVqG343ZFnoaQuomo0hl46YjauGcRtN65QXtQ3amo6j5HhAWzeMFTTuFsbZp3neOF121AiojCp2iSvdSfcLsBLQF0HvZ1MCjh4TL1dst17jQwPNJQrzIW3zTsPpVFeamFmDCqMDA9gcVfG9vdx9x0iijOna04v1+p+O9BVbaeOoAdhP33z1di0fqhu0NcL1XlwG5jWHbh26nx66EsfZodSgnD5G7WNsGoZGTs+6NqxZ8Jx+89GGTOydOofBVkjKYjpxkREQfHa9jhd3Lr9rs0bhlxrbyyUgAWXkW+7GJx2huvIph1H05d0Z2071xZKQGqhpKyRdPtNgrt9ElHiuNUF1eXnniGTKredfgU5CLukO+u4MY8uc06yLidffc1AtdyGNYfobu7DnaVbBzuVqG3YNVx22x97ZSypcCqQbdVoh1ImBeV0V78zshoVRo0mIiK/VG3S4q4M5gsl7YtYt3pEi7sy1Q76sfGcpxp7VrNzBYyN52qKmDptybxysM9x57mZ2YIyL5UAzBdK+PTNV9dd6HO3TyJKIj/Xoo1sxGPduMFPG+m1IHjt+6dQQqlu8GFm9kIu8Tu425FNY+Vgn21tv6npPA4eyzmucNAd3AaYa1oBO5Uosdx277Eyjj1x4OWaQtLAhcZsSXcWM7MFx/XJduYKxdDXXpt96NplWsW4m4mjDUQUJ6o2yRhJNuePlYN91VpHfb2d+OTHhqu7vxm547HnXqzroLGOTI8MD+DhZ47bbtOcSjnPOgKAt2YXqsVRASi3ZDa2fHYb2XbLZU47InG3TyJKGq/XotaC3NaNeNw6ez71sfpOeS/8FgQ3dHeWl5iZlzcD5bbfaNs7sinbWk1OqyaMvHjwWE4Zm58d9eww17QGdipRIqmSAFA7vdXc8WSMJvRf1F03Mqt6zeKuDPLzxYZmMnmxpDuLuXn3DiqjGHecOnFUnXZMFETUTNY2PJXKID9fvuA2ilU7be08NZ3HA4//BHd+RNRM5TdmIrkNZvz2v7m0bvZQNpPCDSvrH7djrkWnygXGbj9BLC/mEmUiShpVW+x15otTPVCjeLZqF86edyxq+Bq30YLg1s4kM6Omnqr4dwn2HUvmQQu32Kam89Xzw+v+9sZOJUokpySgulEwRntPn5lx3CbT2mPeyLRULzqyadx24woAcH0/oxi3+blxaMxHhgdwy9orcfr0uchiIKL2ZW33rRfc5plATvUm8vMLtiOwbiOqY+M5HDxWX2z1hpWXYtP6Ia1OJcC9o8cYhfay7FqFS5SJKEncBpa9zHzRqQeqWmZ8w/uWeQ1d+/11Ge23auWC22xWu+6mwkLJ032PdYdVwFv9KmoN7FSiRNJJAk497F6mbBrJact9z/sL1kHnohTy8yVlgTvV6IiRRDhllIjoAp2RVWv7H8QmA26DD0cnpwDoF391ulEwx9fITkMAlygTUfLoDCzr0qnBZLTfVj8+8TpubbD9bGQTIXP7rVq54LfGnzFY7TW2oJbEUfKwU4kSSScJuDWEXhvKIEaEDekUsObaZdi0fsjxeRvXDOLhZ2R16QbAmwAiam9OS9C8jqwCjW8yoFMTw/j9Ohf5TjcK1vgaGeWOw+xWIiKvgtxtWKeUhOr3vnFmxvX3uy2Z1i0IbpVOoa5Itt37+F1pYfwOVWxO+YdLqtsTO5UoVnSLb+skAbcLbi9T/sfGc5iZbbxDKZ0CvvGF39F+/sjwAHp7urBz73hslrgREUXFbdmD15lAgH0+6VyUcey8HxvP4dFnpWM9C7v3GxkewM9+cVa5DM6ujbd7HyPf+blh6OvtxLatqz29hogoLoLcbVinlITq/S65qNv2d6pmrtotD7O+v46ObLquQ0m1csFvp5UxmG0uVm49N26rKai9sFOJYkO3+Lb5Z7+9/15n++wenfS8I5wdu1183Ky97vLqLkRERO3MbdmDzgW0tf23yyfm3d+sxsZzeGjvhHZOsL7fpvVDuOKypVoDKDoFwu0GWDZvGMKBo6dw/NWzdb9z5WCfXuBERDEU9EY1bqUkVO9354ar6p7rNnPVbnmYqi23s7grg9tvEtqDy26dVh3ZNFZfM4AfHf9VzeDF+ZlCdRc81SBE3DYMomixU4li49Fnpac10m5JwNqQmnd/+/j1760p6O12ce80enDVu5fi9TMzNe+hkk6pjxERkTO36fZ2HUQrB/twdHLKsY235pP+/h7lhgNeBhms72fNN+tWLcPRySns2DOB3aOTrp1Ldo8D9rtuqgq0quqDEBElQbM3qlG939rrLq/LE7o7pv37rzyPYulCOYyjk1OOr0ungE997Gpfn9HIH/39PXjyhZdsz9vRyam6GbFu9ZHiuGEQRYedShQLY+M55TKCRtbm2l2Im28WdGdHOS2pmPx/09VpqG7FvP3MVCIiojKdZQ9hb2Cgm5PWraqtm2eXb8zL4PzunKPadZP1LoioVTV7oxrd99NtX437gWIJrruC2i1380v1OfzmC24YRAZ2KlEsOG15ab5Z0K255OSFQyerNYrsZhbZ9cw7LakwPz/IOk5ERFTLri3OZlKYnStgy33P+8oLdnnllrU9yufr1m2yzgjyszNdI4KsO0JE1Krc7i283Hs0uoGClV1B7jAwX1CjtDqVhBCvAJit/AGAL0gp95mOPwTgLgA9UsrzlcduBrCt8h6HANwlpXzb7Ri1J6cG2Fib66XmksrYeK5mNzXVzKGp6Tx27TtRHWU2fr9q1x7zzj5B1XEiShLmCWqWjkXpahvbuSiFQqFUnenqNS+o8kpvT5eyptLGNYNaNZXsirTqmJrO497tBxteRsB6FxQ3zBMUN273Fk7H7QYfdHb4VOnIpm3r4zVjJpDq/mV2roCx8RxnI5ErLzOVlrPvPgAAIABJREFUbpVS/tT6YKVBL1keWwJgB4AbpJQvCSG+AeBPAfy50zG/H4KST9VD3rkog92jk9ixZ0I5q2jHngns2DOhNUK9e3Sy2qHkxpiOau5YUhW66+vtrI5kzBWK1ViN/3KdMbUJ5gnyzTwabNd22hVAzc/X9+x4me2jquX3v759GMViybbtNv7utvubdYTXywi236VwZqx3QTHFPEFV5nbfWvO0GVQ5wKhzNztXUNZ7vWXtlTWPG5/FD2NGUlTttfE+jz33Is7PXNjt+q3ZhYZzEbWHhpa/CSH6AHwZwL8DsMV0aAOAf5ZSvlT5+WsAvoVyQ+90jNqUaklDobCAqWnnWUWGqek8duyZwGPPvYjbblxR1/iNjec8T0kdPXKqpiaGauR35WBfzeNGrGuura2pQdRumCdIh7XDyGhDzZ0rOsvHDDqzfZxq+RUrAUxN5/HQ3vKos2r7ZrvOLrsZQRvXDOKbTx1HQbPKdxBL4VjvgpKAeaJ1OS0ds7adp8/MNLUDwykHAM6zS6em8/jde5+sDj6sHOzDwWM57RxltSibAQDlTmvNYAyemzuVgGCXZVPr8tKp9IgQIgXgAIAvSinPAvhrAF+WUv5aCGF+7nIAr5p+fg3A5RrHtPX1LfH6EvT3q2skxFE7xXvL2h709nTh4aeP440zM7jkom7M5gs49/a85991fqaAh5+R6O3pwtrryl+tFw6dxEPfP+75dxVLtZ/LLs47N1yFh58+bptI9h8+hfdfNVCNw692+i5EIUnxxjzW2OQJPzkCiP35rdMq8T5xYMxxC+Zv/+NLnvPB1HS+LhdY31PHQgn49j++VDcqbVDlBet79vacRcmmP6lzURr5efvP/uZ0Xvv/cat8F+IqSfHGPFbmiSaLIt4XDp3E3zxxrKbdtrbJdu3+XKGIJw68rGxvg6SbA1TMgw9Oxbb7L+rG6TMzjr8rP79Qc25eOHTSNaf44fZdeFPRkeYlFwUpSf/WkhQrEHy8up1KN0gpTwohOgHcD+ABIcSTAOaklN8PNCJNU1Pnq/+YdThtDxxH7Rjv8PKl+MpnRqo/u+2k5iQ/v4Cde8erNTG+tvsnWFB8X6xrmK2sn8saJwDHZGGOw492/C40U5LidYs1nU75vkgOQKzyhNccASTruwC0VrxuF9zn3p5HCpa1MRqsucDLe1rf3+lc2+YFy/N37h23zUP5+SKWdGfrRocB4OLeTq3/x630XYijJMXLPKGPeSIcdrM3DeY2WdUGnz4z05SYveSARnzlMyO4d/tB19USxrmZPjdbN4Prr75zBNPnZhuaLaTzXbhYsUxbNxcFKUn/1pIUKxBOnkjrPElKebLy3zyA7QBWA1gL4HeEEK9UCu8BwLgQ4mqURwvebfoVywGcrPzd6RhRVaM7DpgbRafprZs3OC9PGxvP4d7tB7Hlvudx7/aDGBvP1T3HKVZu30ztgHmCGqHT3jvd+vlpg8PY1cYpXzjlglKphI5s7SUZi2pTq2GeaA9uS5WNtlDVBjdrxzHd91nSnfUdUzpVzgsb1wzWtfF2pqbztufPWIIWNrs4mYtIh+u3WwixWAjxG5W/pwB8AsARKeVWKeVlUsr3SCnfU3n6sJRyAsAzAD4ghDDmLt4N4DuVvzsdoxan00FjUDVs61Yt03ovo3j2vdsPOj5vZHhAmSwWd2XwradPVBOgUd/DGrdTY8vtOKnVMU+0Ny/tuoruBbedvt5ObNu62vMNipf3XNLtPrHbGJ0354sdeyawa98JxziA8sDH5g1D1ef09XY2bdcfomZgnmgfboOpRjsXdQeGTg7oyKZx240rHHOMk2IJ1TpR5jY+nbJ//pLurPL8NWOQemR4gLmIfNFZ/vYuAN8VQmQAZABMANjq9AIp5TkhxB8C2Ft53WEAn3M7Rq3NbdtOK6eda350/FeOs4/simfbMW4UVAW4U6kU5gq172NXsG5keAA/+8XZujXV7N2nNsE80aa8tusq1vbezpLuLObmi8qC2Kp2XNUG2+WYd17UjeOvnq15XjaTwm03rnD9DKrR+f2HT+GKy5Y6bjXd19vJotrU6pgn2sTirozyGt3cJlvb4Gbv/maXA1YO9uHo5JRtYXG7HGP+XKuvGcDokVO2O1XvHp3Etq2rHTd4yGZSmJmtXwZtaNYgNXMR+eHaqSSl/DmAVRrPS1l+/h6A7ymeqzxGrctpOqexXbRdB5K5Ad49OokdeyawuCtT3h3OZhcd47Vu02/NNwqqDizVDYDdTc+m9UO44rKl3L6Z2g7zRHsaG8/hwb0Tygtor22f0d6rdlMz2mtVG+s0EOH2ngCwa98J22KrN6y8VOuzOI0iGzcUHHygdsU80T5SKcU0HAAdi2pnBpnbYC91aZx2lfPCSweKNcek06nq7m/G+6sKdlvzg12+mp0rOA6Yrxzs04qTKApedn8jaojTdE630W7r8bdmF5BJoVrc1NygmxONSjoF3PXRq5RbRBtUv0c1WsDefSJqdWPjOTz23Iu2haUNjUzTd+sc0u0k8mJsPKe8GTg6OaX1O/oUBU6BC+fjisuW4scnXq+eu8VdGdx+k2DeIKKW4ZQbzs8U6q7vvc5UCmqGrB/mwY8nDrxcV+xblQfs7hus+cptgyLdXEQUBXYqUdM4XXA/+qx0nMVkN+tooQR0Lsrgf3/uQ9XHnHacMCuW9BKP1+UUREStTLeNbXSafhgd9E4j204FUHU7yNyWt9mdu/mC1/3siIjizel6H6gtOm3d5Uync8jvyoegOHVqNXLf4HbeuPEPxZm/qphEPjhN21RN9zQXPHU6bnBb8mbQveFhwToiogt02ti4dLybC4jf89Uf4KG9E8pNF5wu1r3kC7uNJIzzEeWOPkREzaJTANvvLmdj4zmtlQ9uG+w0wq1Ty+99g9t548Y/FGecqURN42faprlR1plOqtOLn82kPN3wcEkbEVGZWxubTiEWHe/WkWS75RjmmwCnEWIv+cKptp6XGn1EREmls/GCznJhK6NdV+nr7XTt8AmCW9x+7xuM19gtL4/LYA2RCjuVqGmcLpyD2tXHbeooAHR3ZiO/4SEiSiKnNrYjm45FhxKgP2vV+CyqXX3WrVrmu+C4lZdaG0RESea28YIxe9NLm+jWrq8c7NMulN2IMNty83njxj+UJOxUoqZxuhkJalcfp+0+Defeng/i4xARtR1VGxu3gtO6NxDGTUAztrZmjT4iajdu1+9e2kS3dv3gsRwWd2VsS2oE2XnfjLacqyQoadipRE2jMxLc6K4+OlNu02n1VqdERKSm28EfNZ1Zq9abAL9bW+tKyrkjIgqS6vrda2e+TgHwjkVZdGTToXf4AKju/sa2nIidSuQiyOmXzbqgNpKXamvOYpG77RARtTKnndgARHYTYL25MoqJs5OJiFqB1/sGL535OqsRzs8U8Ombr27KvcYta6/0NPjAJW3UytipREpOW2Y20rHUrAbUaURjbDznGAcbfiKiemHkhTCMDA/g0WelchnEtq2rmxqPXU4BkIhzSUSkI+z8oFsAPI5Lx+zOzY49E3jsuRdx240rYhcvkVfO+z1SW0v69sdOU13dtisNeztSIqIkSlJeuP0mUbc9cxQ1jFQ55dFnZWLOJRGRm2bkh5HhAWzbuhqfvvnqWLTvulRFxs/PFHiPQS2BnUqk5HWrz7hx6vV3+gxJumkiImqmJOWFkeEBbN4wVC3Q2tfbGcnudKqcYjeLCojnuSQictPM/BCX9l2XWy0o3mNQ0nH5Gyk1YweFsPnZ9jNJN01ERM3ktKz43u0HY7dUOA7LILzmjiTlWCIiY3mvSlhtWhzad11uRcZ5j0FJx04lsjU2nkN+vn6aZiblvKzM6fdFUaNIVdRv5WCf8jV+OqKIiNqBU6FUa/0Ma7v/yY8NY3j5Utf3aLWadqqcsqQ7i7n5Yqi7FBERhclaK8jKaNN27TuB0SOnUCwB6RSw5tpl2LR+qMnRRsetyDjvMSjpuPyNbO0enURhoX6XtO6urOeL+yhrFI0MD2D1NfXxHjyWU77/xjWDiVqnTUTULNYlB1bGNH67dv+Bx3/i2u63Yk07VU657cYViVq+QURkpaoVBFxo0372i7PYf7jcoQQAxRKw//Ap7Np3oomRRsvInYu7MnXHeI9BrYAzlaiGeYTYzvmZguff6VSjqBkXz0cnp+oec3p/6+4SrTBSTkQUFGPJwZb7nrc9PjWdt2338/MLru1+1PkiDG45Jamfi4jIadnWtq2rMTaew/7Dp2yPjx451VazlYzc2WqzcYkAdiqRidsUVsDf9MyoaxT5ef8krdMmIoqC01Jhv+1+1PkiLMwpRNSKnPKAcV+hUqxfENEWmA+oFXH5G1U5TWEF/E/PVHVENWv9cNTvT0TUipyWCqdT9q9RPW5ge01ElBxOecDtvsItHxBRcrBTiaqcRoIbqfUQdY2iqN+fiKgVOW3prBqBdhuZZntNRJQcTnnAbYbpmmuXNSNEImoCLn+jKqcprNu2rvb9e6OuUWR9//6LuvHx69/LqadERA1STeP3u4tm1PmCiIi88ZoHAGDdqvba/Y2o1bFTiarstrsMaoQ46vXD5vfv7+/B6dPnIouFiKjV2eWTzkUZrXwSdb4gIqLGqe4ruMslUevR6lQSQrwCYLbyBwC+AOBZAAcBvKPy2C8B3C2lfKXymg8C+DqAbgCvALhDSvm62zGKjpcRYuvOBZ/82DCGly9tdshEFBPME2Rml0+izBPcbYcoeswT7aWVZp7a5ZBb1vZEHRZRbHiZqXSrlPKn5geEEB+RUv668vfPAfhLABuFEGkAfwvgk1LKA0KILwG4D8AWp2MBfB7yYGw8h0eflXhrdgEAkEoBpVJ5uuqnb75a2eiPjefwzaeOo7BQLo4xNZ3HV//uMO766FWJTBREFBjmiYQzXzgv7soglUrh/EzB9mbAraPGOuMoqlmi1p1Np6bz1R2JjPg4UELUNMwTMWRuA5d0Z1EqlfDW7EJd2+61g74VZp7a5ZAdeyawY89EojvKiILU0PI3IwFU9AIw5jdeB2BWSnmg8vPXUB5B2OJyjJpkbDyHh/ZOYMFUNLVU+bvRWP7sF2dt1zs/9tyL1Q4lQ2GhhMeee5GNKhHVYJ6IlpcbAOuFszHgANR3xOh01MSF3Q5Ec4Uido9OKj/LA4//BHd+RMTusxC1IuaJaFnbwPMzheoxc9sOIPB235yj4lrz1GkXuzjnPqJm8tKp9IgQIgXgAIAvSinPAoAQ4ikA7wfwBoAPV567HMCrxgullG8IIdJCiIudjkkp39QNpq9viYfQy/r7kzVNMcx4nzgwhgWXXXj2Hz6F9181gLXXXV7zuDnZWB9PyjlOSpwGxhuuJMUb81hjkyf85Agg9ue3jlO8Lxw6iYefkcjPlzuHpqbzePgZid6errp2HSjnBaftn+cKRTxx4GXcsvZK2+eaj/uJNyxvKgrFvjmdR39/j+1nyc8vuH6WuGml724cJSnemMfKPNFkbvHqtv3G3+2O+WkrrTnq9JkZxxwVFVUOMTRyDpqt1b67cZKkWIHg49XtVLpBSnlSCNEJ4H4ADwC4AwCklB+tTEH9MwBfArA10AgVpqbOo+i2N7FJ0oozhx3v6TMzWs/buXfc0xKAJJxjfhfCxXjD4xZrOp3yfZEcgFjlCa85AkjWdwFwj3fn3vHqxbohP7+Ar//9Udt2XScvnD4zg9Onzymfaxz3E29YLlbsQHRxb6fvzxI3rfbdjZskxcs8oY95oky37Xc6ZryHl9mxqhzl9d4jbKocYpaEfNGK3924SFKsQDh5Iq3zJCnlycp/8wC2A1htOV4E8CCATZWHXgPwbuO4EOISAMXKyIHTMWqCsfGc9nONRnRsPId7tx/ElvueVz53cVem4diIKJmYJ+JHdRF8fqZgmwf6ejtdf+firgzu3X5QeTyd8pZjmmHjmkF0ZGsvd8w7m6o+t875ICJ9zBPxpHP93tfbqWwTl3SX5ygYy+iM3GMsDVPlBFWOcuvAaTa7HGLFfEHtzrVTSQixWAjxG5W/pwB8AsARIUR/pQE3/B6AY5W/HwLQLYS4vvLz3QAe1zhGTbB7dNLT8+/+n/uxY8+EayP/W1e9q5GwiCihmCfiyekid8eeCWy573nc89UfVC/43S6cU6lynSWnXFAslWtu7Np3ojoQce/2g5F2NI0MD2DzhqHq+ejr7azZ0truc3cuylQ7nYioccwT8TQ2nkN+Xr30DSi3/fl5ddt/fqaA//AX+/HYcy8q69fZSUqHvjWHWJkHKYjalc7yt3cB+K4QIgMgA2AC5SmpAwB2CiEWAUgBeBkXprAWhRCbAHxdCNGFyjafbscoXOYpqV7MFfSmBh+dnPITFhElH/NEDG1cM4gdeyYcn3N+poBvPnW8+nPHonT1pqAjm0LHogzOzxSwpDurrKdnNVcoYv/hU9WfjdHq3p6uyJY0OO1AZLftNXd/Iwpc4vPE2HgOTxwYw+kzMy2z69fu0cm6zXesSiV1PVVDfr6E/Lz9c1T3HRvXDNYU/gbi20FjziHG/dSb03lc3CLfA6JGuXYqSSl/DmCVzaFforzzgup1PwRwjddjFLyx8Rwee+5F7RsCv+I2XZWImoN5Ip5Ghgfw6LOyZhc3O4WFEh59VmK+UKq5uJ8rlFAsLWBxV6bh/DFXKOLhp4/jK58Zaej3NEpV78Pa6ZS0+ghEcZf0PJGkHS+9aMa1u2qGj7VDP51O1cxsiut5NfKFNU94qSdF1Gq87P5GMaRqwPzOSmpERzbVtPciImpXXkZJb79J1I0E21F1PBUWSigsOHdK6XpDc4OIsDRyU8ibBaL2ZretvNEB0uy2QKc90s0TfRpFqBv1zou6lceMmJLeYWeXX3bsmcBjz72I225ckZjPQeSXVqFuiidVQbxd+07UPO6mc1EmkA6huUIpdgVaiYhaibndL8G9EKpbLYggZDTTxyUONxbN4HRT6MRr8Vkiaj1xKSqt0x55yRM6RagbdfzVs9i174TyuN+2OU7sPgNQXjbIfEHtgDOVEkzVCJtrWeiYLyzgHV1ZzBUaXx4XxYhNozgCTURJ4We03JiqPzaec62x5FU2k8JdH70KD+6dgNPO3B3ZNO7ccFWg7+2V35tC1Tl/cG/5XDJfELU+1YyeZheVdmqPduyZQF9vJ/LzC9p5wroEzUv9PC9Gj5zCpvVDtsfi0mHXCKdYvcxo4z0JJRU7lWLGy7KGoBrbokYBPrMUANW9Q5ISANC6a+SJqDU1cvE9MjwQeKeSUY/JqUPJuDBee93lkdYp8ntTqDq3xk53APMFUauLS1Fpp/bI6bjTMWtNuXu++oPAO5bcckQcOuwa4baMUCdH856Ekqwtlr+Njeew5b/+Qyy2NnbidVnD4q5MIO+bTnlruNeuWqY8lqQEALTGlFsiah1j4zncu/2gMl81ugVzGG20UyHwdKqcyx7cO4Gb/9P3Is3Bdss8dG4Knc4Z8wVRezCWEvdXlvH29XZi84ahpt/sN9KG6772A0Pv9P0eKimHZdJ+2+agueVfJ27LCHXOPe9JKMlavlPJ6Kg5XSkQGudaCF4ak7HxHPLzzoVXdYnlSz2tqd60fgjrbDqW4roNqJNWmHJLRK3BrlbGN586jj+6f7R6kbtysK+hi+9m1M8wM0anzaPoUeVga30p3ZtCt3PGfEHUHkaGB3Dnhquqs1J2j042vS3buGZQu46dmW6eGBvP4eCx4D/TIoeg49Bh12jtPOMz2A3465573pNQkrX88rc47dZgR2eXNrtju0cnUVhwmEvqwetnZuq39UzZT1U1LsY3rR/CFZctrT6//6JufPz690ZyThtZf9wKU26JqDXY5Svz7mtT03kcPJbD6msGcHRySmuZtJVuW2/VkU277iBn5vR7o8zB1mUegH0OuWVtT81rACjrRjFfELWHsfEcHn5GIj9/oU2OYnlSKp0CXO4BFndl0NWR9ZwnVAWnGzVXKMerumYfGR7ALWuvjGyJdBD3i+b6hbq785mfw3sSSrKW71SKW6+vuRFZ3JVBfr7o2jlk15gEGb/xu8wX29Z1vUB9T7v5+f39PZEkgkbXH8dljTwRtS7djm+ddn2uUMTRySls27rad7vr1tar3tepnp6ZzhbVcRl5VeWQ3p4uDC9fWn2e3bbXAPMFUTvZPTpZ7VAyNLuTXGdQuSObxu03CYwMD3jOE2G1zX29nbGuGRTk/aLd4IWZ6jysvmYAB4/lmGMokVq+UylOvb7WRsSpDoVB1ZjoXLTrMs6F9cbHGA2P8w4Eje7KYx21j+vnJKJk8nIRrTtrKMiLfrs2UPX7Syjv9uZ2Q5OfX3DdQSguI6+qHPLw08fxlc+MVB8z8uNcoVj9/8R8QdRe4jBQ7fZejbZLQd5fGIx7GVV7u2PPBHaPTuKTHxuu6cxvpmbeL6rOw9HJKWzeMFR3TwIA924/yPsUirWW71SK00wUL1NKU4DjdFW7z+XXysE+2xufg8dykRQh9CKIXXncRhSIqD28cOgkdu4dD/TCzcuUep0OJSD4i1xrG2hcvNq978rBPoweOYViqdwJJpYvxWu/OlczSHJ+puBa8yMuI6+qHPJGpQ4jUN8xWCxduI5g7iBqH83oeHCb2eoUw7atqxt+/6DuL4w4zR0jbqU+Hnj8J7jzIyKSdrWZ94tOnZPWfBzn2V1EZi1fqDsOxd8Muj3/fb2dePIvfhfbtq5WxmlXcLRzkY/KfQD2Hz6FHXsmErnjAHflIaIg7Np3An/x6L/4LtKp4mVkW+fGpBmDIqqdeN55UTf2Hz5VU3z7xdfOImWzrY/TZKbFXZnYXAyrzvkllWsGgDvyEFHZxjWD6FxUW4g5qDZ5bDyHP7p/FDv2TDjmIbtC3ZlUcB31xv2Fm77eTuUu1Maun+YOJaMjxEl+fiGydtXvRg5+eNnFlfmHkqLlZyoBiLz4m0FnSqmX5GTXm/3g3uMoloIp4A3Ep+6FituIStzjJ6LojY3nsP/wqbrHg6iV4WVke+OaQXzzqePK5WXNmvZutyRu5WCf7TlaKMFxmZu1wLdR6yMuVKPTd264qvpzHJa8EFH0RoYH0NvTFfiMVqfadnZ5yFqoO5X2N6isMjI8oNxEyDwjate+E7Z5wbrb56JsSnvmU5TtarNWLniZFcX8Q0nRFp1KcWHXiGRSQHdXufZEo8lpZHgAjz4rtWo16Qo4TwWOu/IQUaOcRvwavXDzcvFotOHGbm9mQS1tMHNaZmG3JM4r43fGYZdQFVVdvbXXXV4diIpTbUYiitba6y4PvO6PW3kMc/tjV6i7sFAKvFi4Tu46Ojnl+nvmCkXMqccd6iS1XfWyE7WXeq7MP5QU7FRqomYUhQ6yQwnQr/ERJe7KQ0SNcOo4avTCzWu7r2rDgx6V9FKnYWw8pzXL1q79jcMuoW7cRqfjVJuRiFqPTvFtt+cGnSN0clfQ79m5KBPrdtXacWQUFvdT90h3VhTzDyUFO5WaLOyplWHs2pAE3MWNiPxyajeDuHDz0u43a1RSt4C4cbHsZEl3FrfduKJl21/mFyIKk1MOsnYgNHPmilvu0r3nWNKdxdx8sa5jxLrLdJS7v7mx6zgyCot72ZDDK+YfSgp2KrUYux7tFMpbQbc67uJGRH6oarOtW7Ws6W1Ks0YldUe73ZZlpFLAbTeuaPn2t9U/HxFFR5WDjA57c9sTp5krOjvFdWTTuO3GFQDcO0biOpsVsM+FRmHxsGePMf9QErBTqcWoerTtHhsZHqiZyklE1I6MdvOJAy/j9JmZSEcCmzUqqTva7ZQbFndlcPtN0Wz/TETUKry0+3GauaLa1ME8+8haqy+pnDqOWPeIiJ1KLUnVo616bGR4APd89Qe2O/gs6eZXhIhaX1x2CTViCfviW3e02+liOejC4URE7cpLux+nmStxiiVMTrkwTrPHiKKSjjoAiofbblyBbKZ2q7dsJlWdskpERK1jZHgAmzcMVUdS+3o7sXnDUN3NwcY1g+jI1l4q8GKZiIjaiV0uNAqL6+ZTolbGaSgEIF7TaYmIKHw6I8zMDURE1O7scqG5sHi7zNgiUtHqVBJCvAJgtvIHAL4A4GUAXwdwKYACgB8D2CqlnKm85mYA2yrvcQjAXVLKt92OUXT8Nohj4zk8cWAs8lokRBQd5olks26VbK2DwTadiBrFPEFJoMqH1lwY58LiRM3mZfnbrVLKayt/9gGYA/B5KeUQgJUA3gHgTwFACLEEwA4AN0sprwBwTucYJY+xxebpMzMAygXrvvX0CYyN5yKOjIgiwDyRQEY7btSLYDtORCFinqDYYj4k8sd3TSUp5StSysOVvxcB/AjAuyuHNwD4ZynlS5WfvwbgDzSOUcLYbbE5Vyhi9+hkRBERUVwwTyQD23EiigrzBMUJ8yGRP15qKj0ihEgBOADgi1LKs8YBIUQ3gC0A/qzy0HIAr5pe+xqAyzWOaevrW+L1Jejv7/H8GjcvHDqJh58+jjfOzOCSi7px54arsPY6zx/HVhjxBu1NxRabb07nYx1/nGOzw3jDlaR4Yx5rbPKEnxwBxP781vEbrzl3lRTPCaMdT9L5TVKsAOMNW5LijXmszBNN1mi8Yd7rWEV9br3e10Qdr1eMNzxJihUIPl7dTqUbpJQnhRCdAO4H8ACAOwBACJEF8G0Az0spnww0OgdTU+dRLKouheuFse7VmCJp9GifPjODv/rOEUyfm224/kRS1ulerNhi8+LeztjGn5Rza2C84UpSvG6xptMp3xfJAYhVnvCaI4BkfRcA//Fac5dK0O14ks5vkmIFGG/YkhQv84Q+5gl3Yd7rWMXh3Hq5r4lDvF4w3vAkKVYgnDyhtfxNSnmy8t88gO0AVgOAECID4BEAZwDcY3rJa7gwdRUojyac1DiWKJwiye2miaiMeSI57HKXFdtxIgoa80TytNu9Du9riPwF17QWAAAPf0lEQVRxnakkhFgMICul/HVluuonABwRQqQB7ASwAOBTUkpzV/8zAB4QQlxZWet8N4DvaBwLzQuHTmLn3vFAt0S268l2erxZnHbx8fM8J8bznzjwMnd/I2pTrZInwhZEmxsEtxxljS0ucRNRcjFPJJPTvc7YeE7r/mLlYB+OTk4lIocYcTHnEXmjs/ztXQC+WxlFyACYALAV5QJ5dwD4KYBDQggAOCil/KyU8pwQ4g8B7K287jCAzwGA07GwjI3n8PAzEvn5BQAXKvkDaKiR6FNMkezr7fT9Oxtlnaaq+qy6z9MxMjyAW9Zemahpf0QUqMTnibAF2eY2SpW7gAsjsuYOpbjETUSJxjyRQE75Qvf+Yv/hU9XjScghI8MDsY2NKK5cO5WklD8HsMrm0PcBpBxe9z0A3/N6LAy7RyerHUoGY+pmI43GxjWDdXUpop4i6TRN1fxZdZ9HROSmFfJE2OLU5trlLlVMcYqbiJKLeSKZvOQLQG95NXMIUevxsvtbYoW1TC2OUyR1P2tcl+4REbWiOLW5Ro7asWfC9rg5pjjFTUREzeUlX9j9rMIcQtRa2qJTKcxlanGbIqn7WeO4dI+IqFXFrc0dGR6oDohYmWOKW9xERNRcuvnC+Fmnw4g5hKi1aO3+lnQb1wyic1Gm5rGol6mFRXfXAu5uQETUPHFsc3ViimPcRETUXI3cX1gxhxC1nraYqTQyPIDenq7Ad3+LG2O3hblCEekUUCzV7+JjiOPSPSKiVhWnNte8M8+S7iwWZVN4a3bBNqY4xU1ERNHQzQV2z3Pb/c3ISW9O53ExcwxRIrVFpxIArL3ucgwvXxra7496y2XrbgvFUv0uPlZxW7pHRNTK4tDmWnPF+ZkCOrJprFu1DEcnp7BjzwR2j07W5I44xE1ERNHymwuuuGwpNq0fsj3GHUaJWkNbLH8Lm9EgGmuIjQZxbDzXtBicdughIiIC1Lli/+FTkeYwIiJKPq/3RLx/IWoN7FQKQBwaRO7QQ0REbnRzAi/qiYjIK6/3RLx/IWoN7FQKQBwaRNUuCtxdgYiIDF5yAi/qiYjIC6/3RLx/IWoN7FQKQBwaRO7QQ0REbnR25jHwop6IiLzwek/E+xei1sBOpQDEoUEcGR7A5g1D1Ua7r7cTmzcMscgdERFV2eWKdauWRZ7DiIgo+bzeE5lzUgq8fyFKqrbZ/S1McdlymTv0EBGRG7tcccVlSyPPYURElGx+7omMnNTf34PTp881K1QiChA7lQLCDh0iIkoq5jAiIgoC8wlR++HyNyIiIiIiIiIi8oydSkRERERERERE5Bk7lYiIiIiIiIiIyDN2KhERERERERERkWfsVCIiIiIiIiIiIs/YqURERERERERERJ6xU4mIiIiIiIiIiDzLRh1AO9m17wRGj5xCsQSkU8Caa5dh0/qhqMMiIqI2MTaew+7RSUxN59HX24mNawYxMjwQ2POJiCjZ/LT7zBVE7U2rU0kI8QqA2cofAPiClHKfEOIRAOsAXAqgR0p53vSaDwL4OoBuAK8AuENK+brbsVa1a98J7D98qvpzsYTqz+xYIqKkY56Iv7HxHL719AnMFYoAgKnpPL719AkAsL349/p8IiInzBPx56fdZ64gIi/L326VUl5b+bOv8tiDAK61PlEIkQbwtwA+K6VcAeAHAO5zO9bKRo+c8vQ4EVECMU/E2O7RyepFv2GuUMTu0clAnk9EpIF5Isb8tPvMFUTUUE0lKeXzihGB6wDMSikPVH7+GoDf1zjWsoolb48TEbUC5on4mJrOh/o4EZEfzBPx4afdZ64gIi81lR4RQqQAHADwRSnlWYfnLgfwqvGDlPINIURaCHGx0zEp5Zu6wfT1LfEQell/f4/n1wQlnU6haNODlE6nlHFFGa8fSYo3SbECjDdsSYo35rHGJk/4yRFA7M9vHS/x9l/UjdNnZmwft/s9Xp+vFUOCzm+SYgUYb9iSFG/MY2WeaLIw84Tf1yjfv4XPbRww3vAkKVYg+Hh1O5VukFKeFEJ0ArgfwAMA7gg0Eo+mps7bdtKo9Pf34PTpcyFG5GzN+y6tqalkftwurqjj9SpJ8SYpVoDxhi1J8brFmk6nfF8kByBWecJrjgCS9V0AvMf78evfW1P3AgA6sml8/Pr32v4er88POt4oJSlWgPGGLUnxMk/oY56o56fdDypXtPq5jRrjDU+SYgXCyRNay9+klCcr/80D2A5gtctLXgPwbuMHIcQlAIqVkQOnYy1r0/ohrFu1DOlU+ed0Cli3iru/EVFrYJ6Iv5HhAWzeMIS+3k4AQF9vJzZvGFIWUvX6fCIiJ8wT8een3WeuICLXmUpCiMUAslLKX1emq34CwBGXlx0C0C2EuL6y1vluAI9rHGtpm9YPsROJiFoO80RyjAwPeLrQ9/p8IiI7zBPJ4afdZ64gam86M5XeBeAFIcRRAD8FsALAVgAQQuwWQvyi8jwphNgHAFLKIoBNAP6PEOIlAGsA/Ge3Y0RElEjME0RE5IR5goioRbnOVJJS/hzAKsWxjQ6v+yGAa7weIyKiZGGeICIiJ8wTREStS6umEhERERERERERkRk7lYiIiIiIiIiIyDPX5W8xlAHKW9155ec1UWK84UlSrADjDVuS4nWK1XQs05Rg4sl3jmjkdVFhvOFJUqwA4w1bkuJlnnDFPBFTSYoVYLxhS1K8SYoVCD5PpEqlUoMhNd31AP4p6iCIiGLsBgAHog4iIswRRETumCeIiMiJdp5IYqdSJ4APAPglgIWIYyEiipMMgEsB/BhAPuJYosIcQUSkxjzBPEFE5MRznkhipxIREREREREREUWMhbqJiIiIiIiIiMgzdioREREREREREZFn7FQiIiIiIiIiIiLP2KlERERERERERESesVOJiIiIiIiIiIg8Y6cSERERERERERF5xk4lIiIiIiIiIiLyLBt1AH4JIV4BMFv5AwBfkFLuE0I8AmAdgEsB9Egpz5te80EAXwfQDeAVAHdIKV93OxZWvABerrznpQAKAH4MYKuUcqbympsBbEP5/9MhAHdJKd92OxZivM8COAjgHZXHfgngbinlK5XXRHJ+Vd8F0/GHANwF0/chbue28t0tATgGoFh5fJOU8liM470YwF8DuA7APIC/k1L+eeU1cfu3dg7AdtPT3gkgJ6V8f5TxOpzbLQD+BMACym3Dn0gp/ynKWJOIeSK8tiFJOUIVL/NEe+aJJOUIVbzME8FhnmCecIqXeYJ5wogVzBOO8SZ9ptKtUsprK3+Mf/QPArjW+kQhRBrA3wL4rJRyBYAfALjP7VjI8c4B+LyUcgjASpQb2D+txLQEwA4AN0spr0D5i+x6LMx4pZRFAB+RUr5PSvk+AE8D+MtKTFGfX7vvgtFAlsxPjOO5NT3+26bHjQQQ13h3Avi/UsoVUsphAH9TiSnq70JdvFLKH5p+vhbAjwA8GpN4a2IVQvQBuB/AjZVY/xzlhj0OsSYR80R4bUOSckRdvMaDzBOhxrsT8cwTScoRdfEyTwSOeYJ5wjZe40HmiVDj3QnmicDjbXaeSHqnUh0p5fPSviftOgCzUsoDlZ+/BuD3NY6FRkr5ipTycOXvRZS/nO+uHN4A4J+llC+ZYvoDjWNhx/xr04+9uNALHrvzW/nH9GUAn7cciuW5dRC7eIUQV6J84fJV4zEpZa7y19h9F8yEEO8E8GEAuzRiiiLeVOVPT+XnpQB+EdNYE4l5ItR4E5MjAOaJMCU1TyQgRwDME6Fjngg1XuaJaMQuXuaJUDU1TyS9U+kRIcRRIcR2IcRSl+cuB/Cq8YOU8g0A6cqUO6djTYlXCNENYAuAJ+3iBfAagMs1joUerxDiKSFEDuXG5h67mCI4v3ax/jWAL1uSV12siNG5BfCCEOKIEOK/CyE6Yxzv1Sg3TN8QQvxL5TsxbBdT3P6tAbgTwD9IKX8Vk3hrYq28x2cA/IsQ4jUA/w3A1pjEmkTME/XHQo01pjlCFS/zRHjxxjlPJClH1MXLPBE45on6Y6HGyjwRarwA80QYsZoxT1gkuVPpBlmeNvkBlHvhHog4HjfKeIUQWQDfBvC8lPJJxeubTRmvlPKjAJYBeAzAl6IJr0ZdrEKI3wcwJ6X8frSh2VKd2+VSyt8E8CGUG9n/ElF8VnbxZgB8EMBOWV5L/A1cuICJmlvbcBeAh5oelT27724vgP8I4ANSyuUoj4z9vRAiFWGcScU8EZ4k5QiAeSJsScoTScoRAPNE2JgnwsM8ES7mifAwT3iU2E4lKeXJyn/zKBfNWu3yktdwYSoohBCXAChKKd90ORZqvEKIDIBHAJzBhZ76unhR7jU8qXEs1HhNx4sorzffZBdTM8+vIta1AH5HCPGKKBcvA4BxIcTV1ngQk3Nrenwa5UbVOOdxjPc1AK/JSrE3KeVuAJdW/t/G8t9a5f0+COBiAE+ZXhK37+6HAZyVUsrKse8AGAQQ+blNGuaJ8NqGJOUIh3jXgnkizHhjmSeSlCMc4mWeCAjzBPOES7xrwTwRZrzME+HF29Q8kchOJSHEYiHEb1T+ngLwCQBHXF52CEC3EOL6ys93A3hc41ho8YpyIaydKFdk/5SU0lwA7hkAHxDltaZGTN/ROBZmvP2VL5bh91DeXQCI6PyqYpVSbpVSXialfI+U8j2Vpw9LKScQz3N7UWXKsjHSdCsufKdjFy/K/0/fMqaoCiE+BOBNAFOI4b8101O2ANglpSyYHovVdxflXVzeL8rrtSGEWAdgGsAbUcWaRMwT4bUNScoRTvEyT4QbL2KYJ5KUI1ziZZ4IAPME84RbvMwT4cYL5okw421qnkiVSiW358SOEOJfA/guylPmMgAmANwjpfylEGI3gN8C8K8AnALwUynl+srrfhvlqudduLA93q/cjoUVL4D3A9gL4KcoJwIAOCil/Gzldb8L4H9UXnMYwCellG+5HQsx3ktQTlqLUJ5a9zKAP5ZS/rzyuqafX6fvguV5JdRuARq3c/selM9PCeXz+0OUz20s4638W/tNlHvDOwG8DeBzUsofVV4Xq39rlXi7AeQA/Fsp5QnL62L13RVCfB7Ap1He0SWP8q4uB6KKNYmYJ8JrG5KUI5ziZZ5ovzyRpByhES/zRIOYJ5gn3OJlnmCeAPOEVryJ7FQiIiIiIiIiIqJoJXL5GxERERERERERRYudSkRERERERERE5Bk7lYiIiIiIiIiIyDN2KhERERERERERkWfsVCIiIiIiIiIiIs/YqURERERERERERJ6xU4mIiIiIiIiIiDxjpxIREREREREREXn2/wGDymeME8zVvwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1440x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (20, 4))\n",
"plt.subplot(1, 3, 1)\n",
"plt.scatter(df_crosscorrelated['selling'], df_crosscorrelated['selling_4'])\n",
"mse = (\n",
" (df_crosscorrelated['selling_4'] - df_crosscorrelated['selling']) ** 2\n",
").mean()\n",
"plt.title('close vs shifted 4, average change: %f'%(mse))\n",
"plt.subplot(1, 3, 2)\n",
"plt.scatter(df_crosscorrelated['selling'], df_crosscorrelated['selling_8'])\n",
"mse = (\n",
" (df_crosscorrelated['selling_8'] - df_crosscorrelated['selling']) ** 2\n",
").mean()\n",
"plt.title('close vs shifted 8, average change: %f'%(mse))\n",
"plt.subplot(1, 3, 3)\n",
"plt.scatter(df_crosscorrelated['selling'], df_crosscorrelated['selling_12'])\n",
"mse = (\n",
" (df_crosscorrelated['selling_12'] - df_crosscorrelated['selling']) ** 2\n",
").mean()\n",
"plt.title('close vs shifted 12, average change: %f'%(mse))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Keep increasing and increasing!"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (10, 5))\n",
"plt.scatter(\n",
" df_crosscorrelated['selling'],\n",
" df_crosscorrelated['selling_4'],\n",
" label = 'close vs shifted 4',\n",
")\n",
"plt.scatter(\n",
" df_crosscorrelated['selling'],\n",
" df_crosscorrelated['selling_8'],\n",
" label = 'close vs shifted 8',\n",
")\n",
"plt.scatter(\n",
" df_crosscorrelated['selling'],\n",
" df_crosscorrelated['selling_12'],\n",
" label = 'close vs shifted 12',\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"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": [
"fig, ax = plt.subplots(figsize = (15, 5))\n",
"df_crosscorrelated.plot(\n",
" x = 'timestamp', y = ['selling', 'ma7', 'ma14', 'ma21'], ax = ax\n",
")\n",
"plt.xticks(np.arange(len(timestamp))[::10], timestamp[::10], rotation = '45')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, even moving average 7 already not followed sudden trending (blue line), means that, **dilation rate required less than 7 days! so fast!**\n",
"\n",
"#### How about correlation?\n",
"\n",
"We want to study linear relationship between, how many days required to give impact to future sold units?"
]
},
{
"cell_type": "code",
"execution_count": 16,
"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": [
"colormap = plt.cm.RdBu\n",
"plt.figure(figsize = (15, 5))\n",
"plt.title('cross correlation', y = 1.05, size = 16)\n",
"\n",
"sns.heatmap(\n",
" df_crosscorrelated.iloc[:, 1:].corr(),\n",
" linewidths = 0.1,\n",
" vmax = 1.0,\n",
" cmap = colormap,\n",
" linecolor = 'white',\n",
" annot = True,\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Based on this correlation map, look at selling vs selling_X,\n",
"\n",
"**selling_X from 4 to 12 is getting lower, means that, if today is 50 mean, next 4 days should increased by 0.95 * 50 mean, and continue.**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Outliers\n",
"\n",
"Simple, we can use Z-score to detect outliers, which timestamps gave very uncertain high and low value."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"std_selling = (selling - np.mean(selling)) / np.std(selling)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def detect(signal, treshold = 2.0):\n",
" detected = []\n",
" for i in range(len(signal)):\n",
" if np.abs(signal[i]) > treshold:\n",
" detected.append(i)\n",
" return detected"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Based on z-score table, 2.0 already positioned at 97.772% of the population.\n",
"\n",
"https://d2jmvrsizmvf4x.cloudfront.net/6iEAaVSaT3aGP52HMzo3_z-score-02.png"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"outliers = detect(std_selling)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (15, 7))\n",
"plt.plot(selling)\n",
"plt.plot(\n",
" np.arange(len(selling)),\n",
" selling,\n",
" 'X',\n",
" label = 'outliers',\n",
" markevery = outliers,\n",
" c = 'r',\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that, **we have positive and negative outliers**. What happened to our local market on that days? So we should study sentiment from local news to do risk analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Give us predictive modelling!\n",
"\n",
"Okay okay."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Predictive modelling\n",
"\n",
"Like I said, I want to compare with 3 models,\n",
"\n",
"1. Linear regression\n",
"2. ARIMA\n",
"3. LSTM Tensorflow (sorry Pytorch, not used to it)\n",
"\n",
"Which models give the best accuracy and lowest error rate?\n",
"\n",
"**I want to split first timestamp 80% for train, another 20% timestamp for test.**"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LinearRegression"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"train_selling = selling[: int(0.8 * len(selling))]\n",
"test_selling = selling[int(0.8 * len(selling)) :]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Beware of `:`!"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"61"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"future_count = len(test_selling)\n",
"future_count"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our model should forecast 61 future days ahead."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Linear regression"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
"Wall time: 608 µs\n"
]
}
],
"source": [
"%%time\n",
"linear_regression = LinearRegression().fit(\n",
" np.arange(len(train_selling)).reshape((-1, 1)), train_selling\n",
")\n",
"linear_future = linear_regression.predict(\n",
" np.arange(len(train_selling) + future_count).reshape((-1, 1))\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Took me 594 us to train linear regression from sklearn. Very quick!"
]
},
{
"cell_type": "code",
"execution_count": 25,
"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": [
"fig, ax = plt.subplots(figsize = (15, 5))\n",
"ax.plot(selling, label = '20% test trend')\n",
"ax.plot(train_selling, label = '80% train trend')\n",
"ax.plot(linear_future, label = 'forecast linear regression')\n",
"plt.xticks(\n",
" np.arange(len(timestamp))[::10],\n",
" np.arange(len(timestamp))[::10],\n",
" rotation = '45',\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Oh no, if based on linear relationship, the trend is going down!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### ARIMA\n",
"\n",
"Stands for Auto-regressive Moving Average.\n",
"\n",
"3 important parameters you need to know about ARIMA, ARIMA(p, d, q). You will able to see what is `p`, `d`, `q` from wikipedia, https://en.wikipedia.org/wiki/Autoregressive_integrated_moving_average.\n",
"\n",
"`p` for the order (number of time lags).\n",
"\n",
"`d` for degree of differencing.\n",
"\n",
"`q` for the order of the moving-average.\n",
"\n",
"Or,\n",
"\n",
"`p` is how long the periods we need to look back.\n",
"\n",
"`d` is the skip value during calculating future differences.\n",
"\n",
"`q` is how many periods for moving average."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"import statsmodels.api as sm\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"from itertools import product\n",
"\n",
"Qs = range(0, 2)\n",
"qs = range(0, 2)\n",
"Ps = range(0, 2)\n",
"ps = range(0, 2)\n",
"D = 1\n",
"parameters = product(ps, qs, Ps, Qs)\n",
"parameters_list = list(parameters)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Problem with ARIMA, you cannot feed a high value, so we need to scale, simplest we can use, minmax scaling."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/sklearn/utils/validation.py:475: DataConversionWarning: Data with input dtype int64 was converted to float64 by MinMaxScaler.\n",
" warnings.warn(msg, DataConversionWarning)\n"
]
}
],
"source": [
"minmax = MinMaxScaler().fit(np.array([train_selling]).T)\n",
"minmax_values = minmax.transform(np.array([train_selling]).T)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now using naive meshgrid parameter searching, which pairs of parameters are the best! **Lower is better!**"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-441.02823388427777\n",
"maxlag should be < nobs\n",
"-465.44306699678367\n",
"maxlag should be < nobs\n",
"-441.2071440382187\n",
"maxlag should be < nobs\n",
"-463.92683238894705\n",
"maxlag should be < nobs\n",
"-441.60802440219777\n",
"maxlag should be < nobs\n",
"-463.95629773701353\n",
"maxlag should be < nobs\n",
"Non-stationary starting autoregressive parameters found with `enforce_stationarity` set to True.\n",
"Non-stationary starting autoregressive parameters found with `enforce_stationarity` set to True.\n",
"Non-stationary starting autoregressive parameters found with `enforce_stationarity` set to True.\n",
"Non-stationary starting autoregressive parameters found with `enforce_stationarity` set to True.\n"
]
}
],
"source": [
"best_aic = float('inf')\n",
"for param in parameters_list:\n",
" try:\n",
" model = sm.tsa.statespace.SARIMAX(\n",
" minmax_values[:, 0],\n",
" order = (param[0], D, param[1]),\n",
" seasonal_order = (param[2], D, param[3], future_count),\n",
" ).fit(disp = -1)\n",
" except Exception as e:\n",
" print(e)\n",
" continue\n",
" aic = model.aic\n",
" print(aic)\n",
" if aic < best_aic and aic:\n",
" best_model = model\n",
" best_aic = aic\n",
"\n",
"arima_future = best_model.get_prediction(\n",
" start = 0, end = len(train_selling) + (future_count - 1)\n",
")\n",
"arima_future = minmax.inverse_transform(\n",
" np.expand_dims(arima_future.predicted_mean, axis = 1)\n",
")[:, 0]"
]
},
{
"cell_type": "code",
"execution_count": 29,
"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": [
"fig, ax = plt.subplots(figsize = (15, 5))\n",
"ax.plot(selling, label = '20% test trend')\n",
"ax.plot(train_selling, label = '80% train trend')\n",
"ax.plot(linear_future, label = 'forecast linear regression')\n",
"ax.plot(arima_future, label = 'forecast ARIMA')\n",
"plt.xticks(\n",
" np.arange(len(timestamp))[::10],\n",
" np.arange(len(timestamp))[::10],\n",
" rotation = '45',\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perfect!\n",
"\n",
"Now we left,\n",
"\n",
"#### RNN + LSTM"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"import tensorflow as tf"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"class Model:\n",
" def __init__(\n",
" self,\n",
" learning_rate,\n",
" num_layers,\n",
" size,\n",
" size_layer,\n",
" output_size,\n",
" forget_bias = 0.1,\n",
" ):\n",
" def lstm_cell(size_layer):\n",
" return tf.nn.rnn_cell.LSTMCell(size_layer, state_is_tuple = False)\n",
"\n",
" rnn_cells = tf.nn.rnn_cell.MultiRNNCell(\n",
" [lstm_cell(size_layer) for _ in range(num_layers)],\n",
" state_is_tuple = False,\n",
" )\n",
" self.X = tf.placeholder(tf.float32, (None, None, size))\n",
" self.Y = tf.placeholder(tf.float32, (None, output_size))\n",
" drop = tf.contrib.rnn.DropoutWrapper(\n",
" rnn_cells, output_keep_prob = forget_bias\n",
" )\n",
" self.hidden_layer = tf.placeholder(\n",
" tf.float32, (None, num_layers * 2 * size_layer)\n",
" )\n",
" self.outputs, self.last_state = tf.nn.dynamic_rnn(\n",
" drop, self.X, initial_state = self.hidden_layer, dtype = tf.float32\n",
" )\n",
" self.logits = tf.layers.dense(self.outputs[-1], output_size)\n",
" self.cost = tf.reduce_mean(tf.square(self.Y - self.logits))\n",
" self.optimizer = tf.train.AdamOptimizer(learning_rate).minimize(\n",
" self.cost\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Naively defined neural network parameters, no meshgrid here. this parameters came from my dream, believe me :)**"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"num_layers = 1\n",
"size_layer = 128\n",
"epoch = 500\n",
"dropout_rate = 0.6\n",
"skip = 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Same goes to LSTM, we need to scale our value becaused LSTM use sigmoid and tanh functions during feed-forward, we don't want any gradient vanishing during backpropagation."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
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},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame({'values': train_selling})\n",
"minmax = MinMaxScaler().fit(df)\n",
"df_log = minmax.transform(df)\n",
"df_log = pd.DataFrame(df_log)\n",
"df_log.head()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:<tensorflow.python.ops.rnn_cell_impl.LSTMCell object at 0x7f2a1ff1d710>: Using a concatenated state is slower and will soon be deprecated. Use state_is_tuple=True.\n"
]
}
],
"source": [
"tf.reset_default_graph()\n",
"modelnn = Model(\n",
" learning_rate = 0.001, \n",
" num_layers = num_layers, \n",
" size = df_log.shape[1], \n",
" size_layer = size_layer, \n",
" output_size = df_log.shape[1], \n",
" forget_bias = dropout_rate\n",
")\n",
"sess = tf.InteractiveSession()\n",
"sess.run(tf.global_variables_initializer())"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch: 100 avg loss: 0.005510855286953197\n",
"epoch: 200 avg loss: 0.0046318894685265215\n",
"epoch: 300 avg loss: 0.004225358004785246\n",
"epoch: 400 avg loss: 0.0032038637484833902\n",
"epoch: 500 avg loss: 0.0030734900978236714\n",
"CPU times: user 2min 20s, sys: 6.26 s, total: 2min 26s\n",
"Wall time: 1min 14s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"for i in range(epoch):\n",
" init_value = np.zeros((1, num_layers * 2 * size_layer))\n",
" total_loss = 0\n",
" for k in range(0, df_log.shape[0] - 1, skip):\n",
" index = min(k + skip, df_log.shape[0] -1)\n",
" batch_x = np.expand_dims(\n",
" df_log.iloc[k : index, :].values, axis = 0\n",
" )\n",
" batch_y = df_log.iloc[k + 1 : index + 1, :].values\n",
" last_state, _, loss = sess.run(\n",
" [modelnn.last_state, modelnn.optimizer, modelnn.cost],\n",
" feed_dict = {\n",
" modelnn.X: batch_x,\n",
" modelnn.Y: batch_y,\n",
" modelnn.hidden_layer: init_value,\n",
" },\n",
" )\n",
" init_value = last_state\n",
" total_loss += loss\n",
" total_loss /= ((df_log.shape[0] - 1) / skip)\n",
" if (i + 1) % 100 == 0:\n",
" print('epoch:', i + 1, 'avg loss:', total_loss)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame({'values': train_selling})\n",
"minmax = MinMaxScaler().fit(df)\n",
"df_log = minmax.transform(df)\n",
"df_log = pd.DataFrame(df_log)\n",
"future_day = future_count\n",
"\n",
"output_predict = np.zeros((df_log.shape[0] + future_day, df_log.shape[1]))\n",
"output_predict[0] = df_log.iloc[0]\n",
"upper_b = (df_log.shape[0] // skip) * skip\n",
"init_value = np.zeros((1, num_layers * 2 * size_layer))\n",
"for k in range(0, (df_log.shape[0] // skip) * skip, skip):\n",
" out_logits, last_state = sess.run(\n",
" [modelnn.logits, modelnn.last_state],\n",
" feed_dict = {\n",
" modelnn.X: np.expand_dims(\n",
" df_log.iloc[k : k + skip], axis = 0\n",
" ),\n",
" modelnn.hidden_layer: init_value,\n",
" },\n",
" )\n",
" init_value = last_state\n",
" output_predict[k + 1 : k + skip + 1] = out_logits\n",
"\n",
"if upper_b < df_log.shape[0]:\n",
" out_logits, last_state = sess.run(\n",
" [modelnn.logits, modelnn.last_state],\n",
" feed_dict = {\n",
" modelnn.X: np.expand_dims(df_log.iloc[upper_b:], axis = 0),\n",
" modelnn.hidden_layer: init_value,\n",
" },\n",
" )\n",
" init_value = last_state\n",
" output_predict[upper_b + 1 : df_log.shape[0] + 1] = out_logits\n",
" df_log.loc[df_log.shape[0]] = out_logits[-1]\n",
" future_day = future_day - 1\n",
" \n",
"for i in range(future_day):\n",
" out_logits, last_state = sess.run(\n",
" [modelnn.logits, modelnn.last_state],\n",
" feed_dict = {\n",
" modelnn.X: np.expand_dims(df_log.iloc[-skip:], axis = 0),\n",
" modelnn.hidden_layer: init_value,\n",
" },\n",
" )\n",
" init_value = last_state\n",
" output_predict[df_log.shape[0]] = out_logits[-1]\n",
" df_log.loc[df_log.shape[0]] = out_logits[-1]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"df_log = minmax.inverse_transform(output_predict)\n",
"lstm_future = df_log[:,0]"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize = (15, 5))\n",
"ax.plot(selling, label = '20% test trend')\n",
"ax.plot(train_selling, label = '80% train trend')\n",
"ax.plot(linear_future, label = 'forecast linear regression')\n",
"ax.plot(arima_future, label = 'forecast ARIMA')\n",
"ax.plot(lstm_future, label='forecast lstm')\n",
"plt.xticks(\n",
" np.arange(len(timestamp))[::10],\n",
" np.arange(len(timestamp))[::10],\n",
" rotation = '45',\n",
")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import r2_score\n",
"from scipy.stats import pearsonr, spearmanr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Accuracy based on correlation coefficient, **higher is better!**"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"def calculate_accuracy(real, predict):\n",
" r2 = r2_score(real, predict)\n",
" if r2 < 0:\n",
" r2 = 0\n",
"\n",
" def change_percentage(val): \n",
" # minmax, we know that correlation is between -1 and 1\n",
" if val > 0:\n",
" return val\n",
" else:\n",
" return val + 1\n",
"\n",
" pearson = pearsonr(real, predict)[0]\n",
" spearman = spearmanr(real, predict)[0]\n",
" pearson = change_percentage(pearson)\n",
" spearman = change_percentage(spearman)\n",
" return {\n",
" 'r2': r2 * 100,\n",
" 'pearson': pearson * 100,\n",
" 'spearman': spearman * 100,\n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Distance error for mse and rmse, **lower is better!**"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"def calculate_distance(real, predict):\n",
" mse = ((real - predict) ** 2).mean()\n",
" rmse = np.sqrt(mse)\n",
" return {'mse': mse, 'rmse': rmse}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Now let's check distance error using Mean Square Error and Root Mean Square Error\n",
"\n",
"Validating based on 80% training timestamps"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"linear_cut = linear_future[: len(train_selling)]\n",
"arima_cut = arima_future[: len(train_selling)]\n",
"lstm_cut = lstm_future[: len(train_selling)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Linear regression"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 12400.18800725611, 'rmse': 111.35613143090106}"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(train_selling, linear_cut)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 16.071928394881496,\n",
" 'pearson': 40.08980967138841,\n",
" 'spearman': 44.699468006756874}"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(train_selling, linear_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ARIMA"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 2688.9812463157696, 'rmse': 51.85538782340529}"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(train_selling, arima_cut)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 81.80019444434625,\n",
" 'pearson': 91.32482215180276,\n",
" 'spearman': 91.51701299386593}"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(train_selling, arima_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"LSTM"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 976.4133077815976, 'rmse': 31.247612833328525}"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(train_selling, lstm_cut)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 93.3913513275983,\n",
" 'pearson': 96.65337363575985,\n",
" 'spearman': 95.21465983592175}"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(train_selling, lstm_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**LSTM learn better during training session!**\n",
"\n",
"How about another 20%?"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"linear_cut = linear_future[len(train_selling) :]\n",
"arima_cut = arima_future[len(train_selling) :]\n",
"lstm_cut = lstm_future[len(train_selling) :]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Linear regression"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 122256.93865471048, 'rmse': 349.65259709418785}"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(test_selling, linear_cut)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 0, 'pearson': 89.9774464399644, 'spearman': 87.92535598102144}"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(test_selling, linear_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ARIMA"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 12103.247191129754, 'rmse': 110.01475896955715}"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(test_selling, arima_cut)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 0, 'pearson': 63.057115592945756, 'spearman': 65.80481974209094}"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(test_selling, arima_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"LSTM"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mse': 30296.351693328776, 'rmse': 174.05847205272363}"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_distance(test_selling, lstm_cut)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'r2': 0, 'pearson': 79.98164022389837, 'spearman': 97.9686031529955}"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"calculate_accuracy(test_selling, lstm_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**LSTM is the best model based on testing!**\n",
"\n",
"Deep learning won again!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I guess that's all for now, **again, do not use these models to buy any stocks or trends!**"
]
}
],
"metadata": {
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"display_name": "Python 3",
"language": "python",
"name": "python3"
},
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