models/failure_prediction/jnotebooks/LSTM_correlation.ipynb

   1 {
   2   "nbformat": 4,
   3   "nbformat_minor": 0,
   4   "metadata": {
   5     "colab": {
   6       "name": "LSTM-correlation.ipynb",
   7       "provenance": [],
   8       "collapsed_sections": []
   9     },
  10     "kernelspec": {
  11       "display_name": "Python 3",
  12       "name": "python3"
  13     },
  14     "language_info": {
  15       "name": "python"
  16     },
  17     "accelerator": "GPU"
  18   },
  19   "cells": [
  20     {
  21       "cell_type": "markdown",
  22       "metadata": {
  23         "id": "RW6MfrDdMIP7"
  24       },
  25       "source": [
  26         "Contributors: Rohit Singh Rathaur, Girish L.\n",
  27         "\n",
  28         "Copyright 2021 [Rohit Singh Rathaur, BIT Mesra and Girish L., CIT GUBBI, Karnataka]\n",
  29         "\n",
  30         "Licensed under the Apache License, Version 2.0 (the \"License\"); you may not use this file except in compliance with the License. You may obtain a copy of the License at\n",
  31         "\n",
  32         "http://www.apache.org/licenses/LICENSE-2.0\n",
  33         "Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License."
  34       ]
  35     },
  36     {
  37       "cell_type": "code",
  38       "metadata": {
  39         "colab": {
  40           "base_uri": "https://localhost:8080/"
  41         },
  42         "id": "YQ6lT1e2hrx4",
  43         "outputId": "cb34bd5a-8e52-43cc-90d1-954431091e6b"
  44       },
  45       "source": [
  46         "from google.colab import drive\n",
  47         "drive.mount('/gdrive')"
  48       ],
  49       "execution_count": null,
  50       "outputs": [
  51         {
  52           "output_type": "stream",
  53           "name": "stdout",
  54           "text": [
  55             "Mounted at /gdrive\n"
  56           ]
  57         }
  58       ]
  59     },
  60     {
  61       "cell_type": "markdown",
  62       "metadata": {
  63         "id": "V4G3MxsJMN4m"
  64       },
  65       "source": [
  66         "We are importing the libraries:\n",
  67         "\n",
  68         "- TensorFlow: to process and train the model\n",
  69         "- Matplotlib: to plot the training anf loss curves\n",
  70         "- Pandas: used for data analysis and it allows us to import data from various formats\n",
  71         "- Numpy: For array computing"
  72       ]
  73     },
  74     {
  75       "cell_type": "code",
  76       "metadata": {
  77         "id": "tLhroy5BnMnC"
  78       },
  79       "source": [
  80         "# Importing libraries\n",
  81         "import tensorflow as tf\n",
  82         "import matplotlib.pyplot as plt\n",
  83         "import matplotlib as mpl\n",
  84         "import pandas as pd\n",
  85         "import numpy as np\n",
  86         "import os"
  87       ],
  88       "execution_count": null,
  89       "outputs": []
  90     },
  91     {
  92       "cell_type": "markdown",
  93       "metadata": {
  94         "id": "W46t-S6TMZVG"
  95       },
  96       "source": [
  97         "We are reading the CSV file using `read_csv` function and storing it in a DataFrame named `df_Ellis`"
  98       ]
  99     },
 100     {
 101       "cell_type": "code",
 102       "metadata": {
 103         "colab": {
 104           "base_uri": "https://localhost:8080/",
 105           "height": 521
 106         },
 107         "id": "2-UpMVsSnfCI",
 108         "outputId": "94530f09-ebe1-4361-9b23-e21ec5f0f649"
 109       },
 110       "source": [
 111         "df_Ellis  = pd.read_csv(\"/gdrive/MyDrive/LFN Anuket/Analysis/data/Final/Ellis_FinalTwoConditionwithOR.csv\")\n",
 112         "df_Ellis"
 113       ],
 114       "execution_count": null,
 115       "outputs": [
 116         {
 117           "output_type": "execute_result",
 118           "data": {
 119             "text/html": [
 120               "<div>\n",
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 124               "    }\n",
 125               "\n",
 126               "    .dataframe tbody tr th {\n",
 127               "        vertical-align: top;\n",
 128               "    }\n",
 129               "\n",
 130               "    .dataframe thead th {\n",
 131               "        text-align: right;\n",
 132               "    }\n",
 133               "</style>\n",
 134               "<table border=\"1\" class=\"dataframe\">\n",
 135               "  <thead>\n",
 136               "    <tr style=\"text-align: right;\">\n",
 137               "      <th></th>\n",
 138               "      <th>Timestamp</th>\n",
 139               "      <th>ellis-cpu.system_perc</th>\n",
 140               "      <th>ellis-cpu.wait_perc</th>\n",
 141               "      <th>ellis-load.avg_1_min</th>\n",
 142               "      <th>ellis-mem.free_mb</th>\n",
 143               "      <th>ellis-net.in_bytes_sec</th>\n",
 144               "      <th>ellis-net.out_packets_sec</th>\n",
 145               "      <th>Label</th>\n",
 146               "    </tr>\n",
 147               "  </thead>\n",
 148               "  <tbody>\n",
 149               "    <tr>\n",
 150               "      <th>0</th>\n",
 151               "      <td>14-09-2016 0:00</td>\n",
 152               "      <td>0.5</td>\n",
 153               "      <td>12.9</td>\n",
 154               "      <td>1.730</td>\n",
 155               "      <td>3949</td>\n",
 156               "      <td>5413.200</td>\n",
 157               "      <td>62.067</td>\n",
 158               "      <td>1</td>\n",
 159               "    </tr>\n",
 160               "    <tr>\n",
 161               "      <th>1</th>\n",
 162               "      <td>14-09-2016 0:00</td>\n",
 163               "      <td>0.4</td>\n",
 164               "      <td>10.3</td>\n",
 165               "      <td>1.790</td>\n",
 166               "      <td>3950</td>\n",
 167               "      <td>5201.667</td>\n",
 168               "      <td>59.567</td>\n",
 169               "      <td>1</td>\n",
 170               "    </tr>\n",
 171               "    <tr>\n",
 172               "      <th>2</th>\n",
 173               "      <td>14-09-2016 0:01</td>\n",
 174               "      <td>0.4</td>\n",
 175               "      <td>11.8</td>\n",
 176               "      <td>1.520</td>\n",
 177               "      <td>3950</td>\n",
 178               "      <td>5370.733</td>\n",
 179               "      <td>61.200</td>\n",
 180               "      <td>1</td>\n",
 181               "    </tr>\n",
 182               "    <tr>\n",
 183               "      <th>3</th>\n",
 184               "      <td>14-09-2016 0:01</td>\n",
 185               "      <td>0.4</td>\n",
 186               "      <td>12.9</td>\n",
 187               "      <td>1.430</td>\n",
 188               "      <td>3949</td>\n",
 189               "      <td>5292.467</td>\n",
 190               "      <td>60.400</td>\n",
 191               "      <td>1</td>\n",
 192               "    </tr>\n",
 193               "    <tr>\n",
 194               "      <th>4</th>\n",
 195               "      <td>14-09-2016 0:02</td>\n",
 196               "      <td>0.5</td>\n",
 197               "      <td>12.1</td>\n",
 198               "      <td>1.440</td>\n",
 199               "      <td>3950</td>\n",
 200               "      <td>5318.167</td>\n",
 201               "      <td>61.700</td>\n",
 202               "      <td>1</td>\n",
 203               "    </tr>\n",
 204               "    <tr>\n",
 205               "      <th>...</th>\n",
 206               "      <td>...</td>\n",
 207               "      <td>...</td>\n",
 208               "      <td>...</td>\n",
 209               "      <td>...</td>\n",
 210               "      <td>...</td>\n",
 211               "      <td>...</td>\n",
 212               "      <td>...</td>\n",
 213               "      <td>...</td>\n",
 214               "    </tr>\n",
 215               "    <tr>\n",
 216               "      <th>176995</th>\n",
 217               "      <td>13-12-2016 21:20</td>\n",
 218               "      <td>0.4</td>\n",
 219               "      <td>0.3</td>\n",
 220               "      <td>0.030</td>\n",
 221               "      <td>3484</td>\n",
 222               "      <td>230.967</td>\n",
 223               "      <td>2.167</td>\n",
 224               "      <td>0</td>\n",
 225               "    </tr>\n",
 226               "    <tr>\n",
 227               "      <th>176996</th>\n",
 228               "      <td>13-12-2016 21:20</td>\n",
 229               "      <td>0.2</td>\n",
 230               "      <td>0.3</td>\n",
 231               "      <td>0.018</td>\n",
 232               "      <td>3484</td>\n",
 233               "      <td>218.433</td>\n",
 234               "      <td>0.767</td>\n",
 235               "      <td>0</td>\n",
 236               "    </tr>\n",
 237               "    <tr>\n",
 238               "      <th>176997</th>\n",
 239               "      <td>13-12-2016 21:21</td>\n",
 240               "      <td>0.6</td>\n",
 241               "      <td>0.3</td>\n",
 242               "      <td>0.010</td>\n",
 243               "      <td>3483</td>\n",
 244               "      <td>160.967</td>\n",
 245               "      <td>1.867</td>\n",
 246               "      <td>0</td>\n",
 247               "    </tr>\n",
 248               "    <tr>\n",
 249               "      <th>176998</th>\n",
 250               "      <td>13-12-2016 21:21</td>\n",
 251               "      <td>0.6</td>\n",
 252               "      <td>0.3</td>\n",
 253               "      <td>0.007</td>\n",
 254               "      <td>3484</td>\n",
 255               "      <td>188.367</td>\n",
 256               "      <td>2.100</td>\n",
 257               "      <td>0</td>\n",
 258               "    </tr>\n",
 259               "    <tr>\n",
 260               "      <th>176999</th>\n",
 261               "      <td>13-12-2016 21:22</td>\n",
 262               "      <td>0.4</td>\n",
 263               "      <td>0.1</td>\n",
 264               "      <td>0.040</td>\n",
 265               "      <td>3484</td>\n",
 266               "      <td>229.833</td>\n",
 267               "      <td>2.400</td>\n",
 268               "      <td>0</td>\n",
 269               "    </tr>\n",
 270               "  </tbody>\n",
 271               "</table>\n",
 272               "<p>177000 rows × 8 columns</p>\n",
 273               "</div>"
 274             ],
 275             "text/plain": [
 276               "               Timestamp  ...  Label\n",
 277               "0        14-09-2016 0:00  ...      1\n",
 278               "1        14-09-2016 0:00  ...      1\n",
 279               "2        14-09-2016 0:01  ...      1\n",
 280               "3        14-09-2016 0:01  ...      1\n",
 281               "4        14-09-2016 0:02  ...      1\n",
 282               "...                  ...  ...    ...\n",
 283               "176995  13-12-2016 21:20  ...      0\n",
 284               "176996  13-12-2016 21:20  ...      0\n",
 285               "176997  13-12-2016 21:21  ...      0\n",
 286               "176998  13-12-2016 21:21  ...      0\n",
 287               "176999  13-12-2016 21:22  ...      0\n",
 288               "\n",
 289               "[177000 rows x 8 columns]"
 290             ]
 291           },
 292           "metadata": {},
 293           "execution_count": 4
 294         }
 295       ]
 296     },
 297     {
 298       "cell_type": "code",
 299       "metadata": {
 300         "colab": {
 301           "base_uri": "https://localhost:8080/",
 302           "height": 293
 303         },
 304         "id": "92xBt43BnjAo",
 305         "outputId": "727ad3d1-e00a-4d6e-9ce8-6859b01fa6ce"
 306       },
 307       "source": [
 308         "df_Ellis.plot()"
 309       ],
 310       "execution_count": null,
 311       "outputs": [
 312         {
 313           "output_type": "execute_result",
 314           "data": {
 315             "text/plain": [
 316               "<matplotlib.axes._subplots.AxesSubplot at 0x7f9828b56310>"
 317             ]
 318           },
 319           "metadata": {},
 320           "execution_count": 5
 321         },
 322         {
 323           "output_type": "display_data",
 324           "data": {
 325 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\n",
 326             "text/plain": [
 327               "<Figure size 432x288 with 1 Axes>"
 328             ]
 329           },
 330           "metadata": {
 331             "needs_background": "light"
 332           }
 333         }
 334       ]
 335     },
 336     {
 337       "cell_type": "code",
 338       "metadata": {
 339         "colab": {
 340           "base_uri": "https://localhost:8080/",
 341           "height": 879
 342         },
 343         "id": "RSo-aa-SIoBR",
 344         "outputId": "c4a79b59-30eb-41ba-9d34-2c7cad07d9f2"
 345       },
 346       "source": [
 347         "# we show here the hist\n",
 348         "df_Ellis.hist(bins=100,figsize=(20,15))\n",
 349         "#save_fig(\"attribute_histogram_plots\")\n",
 350         "plt.show()"
 351       ],
 352       "execution_count": null,
 353       "outputs": [
 354         {
 355           "output_type": "display_data",
 356           "data": {
 357 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\n",
 358             "text/plain": [
 359               "<Figure size 1440x1080 with 9 Axes>"
 360             ]
 361           },
 362           "metadata": {
 363             "needs_background": "light"
 364           }
 365         }
 366       ]
 367     },
 368     {
 369       "cell_type": "code",
 370       "metadata": {
 371         "colab": {
 372           "base_uri": "https://localhost:8080/",
 373           "height": 634
 374         },
 375         "id": "gggaMJ_2LtFs",
 376         "outputId": "f96a17fc-a509-4c29-e57f-1dfda73d8df6"
 377       },
 378       "source": [
 379         "cpu_system_perc = df_Ellis[['ellis-cpu.system_perc']] \n",
 380         "cpu_system_perc.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
 381         "plt.xlabel('Timestamp', fontsize=30);"
 382       ],
 383       "execution_count": null,
 384       "outputs": [
 385         {
 386           "output_type": "display_data",
 387           "data": {
 388 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qRM0EQ8NiKOGR0DW0+kFMDgwF48DcTVI6MiIhIG9jjh6iHLSkVeH97FvJr2xBf1IDHvzmKpnaL2mERSY55HyLSi9SyJkfSp9vbW9JVioaISBmc1IvEYOKHqIe3f+7dUOyw2LA+vkSlaIiIiMibpJJGp+eMFhawJyIi6sbED1EPdW1mp+cSOEyKghjvBhERUagRBAG7M6uweP9xpJc3qR0OEZHqWOOHiCgECcwIERGRTs3bmonlBwsAAP13GrDk0Wm48cLTVY6KiEg97PFDpDO8nifSL9ZmIiLyrM1kdSR9AMBqF7BoH2c3JaLQxsQPERFRkGhksXkiIo/iCut9eo6IKJQw8UNE5IEgCCisbUNZY4faoRChusWkdghERKQQQRBQVMc2CLlm57h9EoE1foh0hiNBpGOy2vDsd8cQlVkFALh/2nh8cO+l6BfGT5mIiIjkY7ba8ez3iYjM6GyD3DdtPD5kG4R62JtVjXNGhasdBgUJ9vghTcmvacWi/ccRkVCKDrNN7XAoxO1Iq3QkfQBgQ0IpjhTUqRiReALvBhGRzunpMFdU14bF+49jfXwJ2kxWtcMhFe1Ir3QkfQAgIqEUh/ODqw1C8pq3NVPtECiIsMcPaUZ6eRNmLD6M1q6GzsaEUnz31BUI450NUXTU/lXdKxtTnZ77cHsWNv/9WhWiISIiPcutasF9i2LR1NFZy2v90RKs/euV6N+P92lD0X9+dG6D/HdbJrY+d50K0RBRsOOZhDRjdWyRI+kDALH5dUgta1IxIgp1HRbnXmflTUYVIpGewBRhUDrj5CFqh0BEMvnuSLEj6QMA8UUNSChqUDEiUlOrix5fFTppgxCR8pj4Ic1Ye7TE6bnVh4tUiISISJuGD2ZHXSK9WhlT6PRcz2nJiYiI/MXEDxERERERERGRTjHxQ0RERERERESkU0z8EHlhYG1pCmKs5ENEesfzNIUK7upE5C8mfoi80NM0sRQ4NrqIiLSF52kiIiLPmPghIhKB1xekJl7gEhEREZFYTPwQEYUgJhCIiIiIiEID54UlIiKv7HYBWZUt6BdmwPmnh8PAohpERLLjoZaIiKTAxA8REXlktNjwl1XxiM6tBQD8fsrp+OqhX2NAP3YaJSIiUgoTgUTkL7baibwItpMsh/BQT1LsDzvTKx1Jn87HVTjY4zEREREREWkXEz9EXjCRQj0FWR5QEv/+MdXpuXd+yVAhEiKi0MI2CBERSYGJHyIiEUKxDd5utjk9V9tiUiESbRAEAXa7OnuCEJJ7IJFnArMj1EMo3qAhIvKGNX6IdCbYhqYRidFstMBqE3DqsIGqbH9DfAk+i8xBh8WGx66aiOdvPo+FromIiIhI05j4ISIi8RTOdQiCgI92ZmPJgXzY7ALumXoGPrrvUvRXsMB0XnUrXopIcTz+Yncupow7CbdOGaNYDEREFMrUudFQ2tCOorp2TJ1wMoYO5OUjUTDiUC8inWGPd9KjYyWN+Hrfcdi6hlj9eKwMW1MrFI1h0f7jTs+9u5W1johIPuxQSGpbfrAA1364Fw8vO4LffrQPedWtaodERH5g4ofICza6KJjppSbMZ7tynJ57fVOaojEkFjc4PVdS36FoDERERErpMNvw4fYsx+PaVhMW7s1TMSIi8hcTP6Rp7L1CWsM8YCelP4f8Guc7jM1Gq8JREBERhY7IzCqYbfZez/14rEylaIgoEEz8EHnB5BORM6V/Flr4Gda3mdUOgYhcYIF1InkYLc6zehJRcGLihzSNbTnSGi0kIEKRFhKwje0WtUMgIqIQxnYxEfmLiR8iohAUaCJF6banXmoVEZH0BC1khomIiDSMiR8iIiIiIiIiIp1i4oeISIRg62Wtlxvhevk7iIiIiIiUxsQPkRccT03kTOliqsz7EBERERH5h4kfIiIiIiIiIiKdYuKHNE0Lwzu0EIM4QRcwERERkSTYCiIicsbED1GIazZasDe7GlmVzWqHEhTYoCQ1BV8imoiIiIjU1l/tAIg8YX0deWVVNuO2z6Mdj/912wV45vpzVYyoU1ZlM/Zn1+CskcNwy0Wno1+YtDuCzS4gMqMSRXXtuOHC0Tj/9OGSrj8YcHp0ItILHs2IiIg8Y+KHKIT934JDvR5/EZWLx6+eiKED1Ts0HMytxayVcbDYOpvyf778THxw76WSbuNfESnYmFgKAPg0MgffzvoNrjpnpE/vZS6yE5OyREREyuKp1z92u4AfjhYjuaQR0yeeivunjVd8kgoitXGoF5EXWj8vVDcb8a+IZMxYHIvlBwtEvddosfd6bLLacTi/TsrwRFsSne9I+gDA2qMlaGgzS7b+mhaTI+kDAGarHUsOHJds/URERFIx8FJfNH5i1Ne8rZl49ac0rI8vxb8iUvB5VK7aIREpjokfoiAmCAIeXRGH9fGlOFJQj3d/ycDKmKKA1plc0iRRdP45kFPj9Nze7GrJ1v9zcrmL9Ttvk4iIiIiCm80uYMWh3jdGv9jNxA+FHiZ+iIJYWlkzsipbej23xUViQwwtngyl7HW1M71SupWFMK3cUT3nP9uQX9OqdhgUpCw2O9LKmtBitKgdCgVAK8cjObAeG1Fg2sxWtUMg0gQmfoi80PIsOmnl8vTOaTNp6yQp5XcQV1Av3cpIdTa7gH9FpKgdhmI0fDgKOvk1rbjuw72488uDmPpOJH5JCSxpTkRE2qPnxDCRGEz8kKZpOemiBRJPduXgajiUmvr2anKlqtmIFQcLsCq2EHWtJvmD6lLdtd1vYwpRq+B26YT4ogYIPFiQSJ/sykZlsxEAYLULePWnNNjs3I+ISLu0XndSi1jEmagTZ/UiApBS2oh1R0vUDkM0uYo+ljd2yLJefy05kI///GGy29erW4y4Z2EMyrriXnmoED89cw1GDB0ga1w1LSb8qed2YwqxSYHtiuEuH6K3PIkgsEFM4mxL7T3ss6nDgoSiBvxm0qkqRUT+0tnhjIgkxKYBUScmfijk5Va14M9LDqPdbHP5utYuJgVBwJID+diRXoljxY0ybUOW1crm56RyR/IFAPJr27AzoxIPTD9T3u0m995uQW0bdqRXYMblE2TdrhRe3JCMiiYjbp48Gs9cfy7C5Oo+ppAg22VJo4wW1+cBIiIKTlprxxOphUO9SNOUOFh/G1voNumjRSsOFeL97VkBJ33MVrvb14KtmOS8rZnOz/2SIft233WxjXe2iN+uIAiol3DKel9sT6tEUkkjPtmVg6/3i5/OXs6u0w1tZjz17VFc+tZOzFx+BFVdw3E8sbvIVgqCgOM1rbB7GL7D9iBR4GKP1+EPX0Rj+rxIvLc1w+NvjsThdO5EgXH3G7La3LeDldLUbtFEHBQa2OOHQt6aw8VqhyCKq2SDP/ZkVbl9TQ9t9mD5E44VN2D2mgRUNZsweexJWPH4dIwdMUTRGD7emY1nbzhX0W168sqPKYjKrAYAROfW4vm1SV7f0zfvsz+nBo+tiHM8fv+eS1y/z/8wSYMEQUBBbRtsdgHnjg4XnaDk/iBeq8mKJ1YeRUdXb6ml0QU489ShePSqieoGRkQE9zeRjVY7wvuFod1sRWZFM84/fTiGD1ZmqH6byYpnvkvE/pwaDB/cH//90yW467JximybQhd7/BB5EWzDnnx1xMPsVnr9m7Xo+XVJqGruLAqdWdGMt3+Wv6eS1u1M752UjM2v8zoEp28vtZ5JHwD494+p0gRHmmW12fGXVQm48dP9uOV/BzBj8WHRQ7eO5NfJFJ1+bTpW5kj6dHtjc7pK0RDpG3uASUcQBCQUNeCK93bj3q9jMW1eFPZlVyuy7cUH8rE/pwYA0GK0Yu7aY2jV2Iy6pD9M/BCRk2Ab6uWSTH+ClCOcCmrbUFTX3uu5HemVbpbWFqWbnhYvXaF7Jisrm7wPDQtWnL3MvajMakRlnkgaxhXWIyKhVNQ6Shu0Vdg+GGRWNKsdgmRyqlrwRVQuvjtSxIswIp0TAPx3WyZaun7rZqsdb/sxXN8f83fn9npsF4CfEsWdr4jE4lAvohDl8fpRw9eWZY0dWB5dgMZ2M+6dNh7XnHuaotuX8rq71Sj/hYVcSTwN7yJoN/OCLRTNXpPg9Nxrm9LwyJVn+bwOFgENXamlTZixJNZR8++nxDKs+9tV6Bfkhe+JyDVBABKKGno9V1DbhsZ2M04eOlDxeOIKGzCTQ2RJRuzxQ5qmhZvboXgh4KpQrhZ0mG2YsTgWKw4V4MdjZXhsRRzi3AxZ0+ZfQP4yWnzv8RMWij9aFeix9xH3ndC14lBBr4ke4osakFTS4OEdytBFD1wKXnre/dz8bTaVCl1uSS5XZbsUOpj4IdKw6majbCcgTxdtLUarJru578qo7DUUw2oX8OWeXA/vUJ6Yb0uqBn2z0aL496W1y+OeyUo9X7vLOZuarxKK6nHb5wdw6Vu78HJEiscZAomUIEUO8qdjZU7P/RBXEviKiSTk6RRgtdlR3aLfoc5SY1KVQg2HehFpUHWLEU+sPIq0smacNLg/5j84FddfMFrSbbR5mMJ+7dESRCSU4slrJ+GV2y/UxMUmAGxJrnB6Ljq31uWywdAbIdCcnt0u4K0t6VhzuAhhBgNmXTMR//nDZM18X0rq+VGy14Z8zFY7Zn1zFM1dwxTXxZfgjFOG4LmbzlM5Mmlw1yGtYTFf8sWu9Eq8sD4ZLSYrpk44GcsfuxynDpNvuJIgCEHf1ghzM4xT+63H3ubvztXNOZjkxR4/RBr08Y5spJV1FsxsNlrx/LokyXv+tBgtHl+32gUsPpDvcfYvCkygyam92dVYFVsEu9D5fS2NLkCsQrMSaa29J4RIjx+17c6sciR9un0WmaNSNNLjRXZw4m+eQpnJasPctUmOIsXHihvxeZS8x+UguLfm1cB++rgM/iwyB2llTWqHQUFAH3s86ZYWGnNqnNw29JmJprHdgtjj0l7Q+9or4pOd2ZJuVymuvrbyxsBn7JFynwx013ry23in5z7cEZzfV6B6fpbBfhdSywr7zEKnN9x1iEjLBKHzRseW5HK8tzUDkRlV2JtVjQ5L717cq2KLVIqQ1PDVnjy1Q6AgwKFeRBKpazXh633HUdrQgdsvGYO7f3WGpOt/bu0xJL5+i2Tr8zXxk1PV4vJ5QRCw5kgxDuTU4PzTw/HsDedi6EC5DymBpUr6NozUFkhS0d2U5SmljZJtI5j0Lu6sXhxy89RLTBAErDtagj1Z1ThndDieuf4cDB88QMHo1HXS4P5OvZHE0vO+IxcpDzFljR1Ysv84alvN+NPUM3DzRadLuHbxtLA79D2mk3d6T/5/uisHX+3tvNBfGl0g75AuN79wPTctgnHvKahtUzsECgJM/FBIs/swfKpv+8FmF5ymdxUEAY+uiEN6eefwrB3plRAE4P+mSpf8qW8zo9nL8CwxfG0XuWtALdqfjw93ZAEAIjOqkF3ZgmWPXS5VeLKQ4mQuNpFiswsIM7j7HP1rOlltdjy49LDL10Il0eOkx98dqsN1vo0pxFtbMjofZFQhtbQJa566QtJtaLkYphSRheq+owUmqw1/XhKLkvrOnpnb0iqwctZv8LvzR6kcmbrK3ST5KTTZBcGR9OlW32ZWPI7OmxDBfbxsczMphnbPckSB4VAvCmkxIoZP2ewC3tychsve3oVrP9yDnemVjteSShodSZ9uH3UlRaSU0WcbgQj0xPZhn78vKrMata2mANfqTWCNDCnuAhp97DUkCAI+3JGFqe/swtUf7MFPx0pdLONfDNG5tbq9u+Nv3aO6thP7npheG3Wy77PKefuXjF6PD+bVorRB30OztKS8scPn4wM525tV7Uj6AJ3Hx892hebQVSJ3mjqkuwEY6rIqXfdo90d1i9Fr7UwitTHxQ5omd++F+bt9nwr8h7hifBtbhFaTFaUNHfjb6gTHXRZXBZDluEsn5eeRXOJb93ExuRK5khEnYvD9A3D1WUkxjKPZaMX6o+6n+O3e7paUCny97ziajVZUNBnxz/XJKO5TH8Xfr3NfdrWf79Sv4voTn62YBJ8v0zVbbXY8v/aYX3EpydU+n1UhXcNWKwRBQG5VCw7n18FklTbREuZHq6ip3YI/fBGNqz/Ygwtf34GIBOckbyj6JaVc1PK7Mqqcnksu9a1gacj2dKSQo5VdXStxqM1ktWH26uwemB4AACAASURBVAT85r3dmPpOpOxFtYkCwcQPhbS4Qt9nrHptU5rTcwu7uts2tiuT5Q90mEVWZTO+jSlEXEE9ShsCL3QcbKQaxvHKjylo8vKdv/1zeq/HggAsO5jv9Jw/GjVxx09bXbxHDhvk+Hdute/JjoN5NV6X2ZpagU1J4i5i9UrsPlvZZMT3R4qxK70SZqtdgu0LeH1zGm753wH8eclh3DH/IGpapOu15U+vwFc3pSKj4kRvzBc3JKPVzRCCUPLC+mRRPaC0OMxOK6VivJ1vSLz6NjM2xJfgl5Ryt0N+NEnhjIu7Yz6TrZ1+TCzDjq4RAFa7gM+jcpFVKV3vfCIpscYP6Vp2ZQs2JZUhfFB/3D99PEYPHyzp+pcdLMBrd16EDfHeew2obWd6JZ75LlHyaeF70lJDwFUhZ6ka8XYBiEh0fVe/ext1Lsbcp/S5e+1uWFNJfTvOPHWo2+1vFpGE0NBX4hN/d8+R4SeKWy7an+9hSfFe+8k56Uve5VW34oHFsY6ekTdPPh1LH50W0JDL4zVtWHO4uNc2vj9SjLk3n6fazv5LSoXTc0sO5OOft5yvQjTaYbLaEZlRhbsuG+fT8lpJsrhTUt+OiIRSCIKAe6eNx1kjhym27Q6LDSMQOoXa5VbdYsR9X8c6eopOnXAyfvjLlRg8oJ/KkZEWmKx2fBtTiKK6dtx80Whcfc5pvV632wX8ZVU8dme57n29cO9xzH9wqhKhEonCxA/pVm5VC+79OsZx53VjQil+ee5aWWaecnWRL4sALmwW7T/uV9JHTFvcLlPmR0sJpW5S1DNy92dd99FeHH31ZowaPsjNEvKqaOrAgr15qGg04o+/8u2iTSruZpHzpudnWVLve10bX/atFg3dDRb7U1Dzp/NDXHGvoqNRmVXIrmrBhWNO8nudSw4cd3ruf1E5nYkfCUg1q9dXe3JDPvEDiOudqOW8T02LCfcvikVlc+cQ7u/jirFlzrUYO2KIZNtIKPK9BzIF5uek8l7Dg48VNyL2eB1uuHC0ilEFFy0X+g/UM98lOsohfBNTgMWPTMOtU8Y4Xj/7P9s8vp+19UirONSLNM3fO4B2u4Bb/negV3f7/No2RGVqrzaKIAiw2HwbAhHIafZYsfxTwvr6d4h1/7TxsqxXaX2/P09Jh5nLjzj1CDJb7XirzxAyqdnsAh5aegRrDhdjd1Y15q5NcrmclHfnew4B8ncfEgQBX+7OxU2f7hNVa0qLSUW9WH6wwOm52z6PxuzVCahu8a8GWkuA07V7I9VwIxk7VmqOVIcCLfb46d4fNieVOZI+AFDbasb6o9LWcvp6n7Q9FdVkttphsdn9LtYvt3lbM52ee3drhosltUcrCRdXX63VZvdptlyt61kDUxCAz6NO1AP1ZciyFBOJEMmBPX5Il/70dYzL5785VIA/+tjtvNv2NGlqU7iyI60Sb/2cjoZ2M/542Ti896dLMLC/+3ysGm0oMSewI/n1uO486afeHX+K+2FPYnj6UwRBgMFgQJvJitpWEyZ4GGrlr4xy34Z6AZ2zTSQWN2LaWac4nvssMgcrYwolj6unmOO+zRgmxb7Ybrbin+uSsTurCmNHDMHH913qd1f7tXElTlPc+oLtM+XtSK9EXZsJG2ZfLfq9ch8DpdofHpiuj2S1L6T6SrRY46fbJy5mF5OypxnQ2SPOnWA5TmWUN2POD4k4XtN5DhnQz4D377kU9wXBzZuexxZBEFBc347Twgdh2CBtXSop3Q70ZXOCIOCzyBx8c6gQA/oZMPem8/D4NZNkjy1Qvv6setZw8+WmhVQ9R8UIlmMEqUtbRzMiibibscrfE+bKGOc7193KG/0rktzYbsacHxJhsXUGtSGhFBeMGY6nrjvb7XseWX7Er21JrdnNlJX7c2rw4u8vkHx7Up3QPCWxBKFzaMqbP6c5vhNP/NmXLDbBkWDyRUJRfa/Ez6L9zsNcpBZzvM6n5aQY6vbF7lxHUcTi+nY8vOwIwvz8sv1J+gBAh5nTb6vhaGEDalpMooczyn2329/9ry+p68lpSUObGYnFDThnVDgmnqZcnRs1dO9vUu0XevfMdwko7DF7pcUm4KWIZFwx6VSPdeuk5k9Po+73NLab8dg3R5Fc0oj+YQa8+ccpmHnlWT6vx2S1IaGoAYMH9MNl409GP4mzAFrsT7Mnqxpf7jlxDn5rSwYun3QqpowboWJU6lEjia3RznWKqG8zI7GoAeefPhwTRip3nAlGTPxQSGls968Wz3+3Zbl97bqP9vq1zs1J5U4JhnlbMz0mfrTC3XALrXRBdsfTqbipw4LXNqUGPESj3WzzOANLVmULJo/trHHibVN6PJE3tVuwK6MSdkHA4j5FmK12AUo3a/NFDAsLRlIPtZCy92NDu1l84keHv4lgklLaiIeXHXGcA9666yKVI1IGEz/e5VW39kr6dBOEzmGfb/1xigpRibf4QL7j5qHVLuCNzWm469KxOHnowF7LxRXUI7mkEdMmnoJfT+i8QdNstOCRZUccEzncPHk0vn5kGgb0k66yhtLD59zt+T3DcDV07svdeVg0c5pkcTS0mRGZUQUYgFsvOt3p+9AUPw8Xp4Vr+G/SqMTiBjy6PM5R2uO9P12Mh6/wPVEbavxO/BgMhkcArO56+BdBEJZJExLRCWLOb6mlTfhoZxaic2vdLuOqURIof2fJElOHRE2uzl/ubmC1ylR/Q6omt6fG+8bEUlFJH09TSN+/2PVQQ6Cz8dLNWzFsKZp3zSKnfpfz8qapw4L7F8cgp6pVxq0Ev6iMKuzNrsa5o8Px0BUTMKi/dmaaiTnu/vjaU1yB90K1jZyiOujM353XK/H/0c5s3HHJWEnWfbxGe8eF7jv3zPt45+nGWs+hMlr39b7ePWsFAYhIKO11U+6bQwV4e8uJmkAf3nsJZlw+AVuSy3vN3hmVWY24gnpcc27vWaGCiS/tEFft2eRS6epKNrabce+iGOR3DSFcMjocG2dfjRFDlZ/pzpce2/4eLgLJ6YXqMWr+7txe9Vw/2J6FGdPPRH8Jk6164lfix2AwnAngKwCtAMIljYjID2llTbjrq4NqhyFKUV1wJH66tZms+F9kDtLLm3H2KNfd+wvr2kUNZeqr3s3saJ9G5qDZaEG7jMNyalvF9Qbb6GY6dwA+JzasXjJNUtzY2+2hboQrcjYe9mZVM+njxYb4ErwUkeJ4HF/UgAUP/VrFiHo7Wtjg03IrXBR27isyoxK/mXSqqO27+0k8uOSwJLOvSdWzQ0DnsM7lBwuwJ6sa54wKxwu3nq/tu9Q+6FuHpt1sw9FCaWajii/ybd9SUndynj1+9M/T6bauzYwOsw2fR+UgubQRh/N77/Nf7zuOGZdPwKs/pTm997/bMrH1ueski1Pp2snu2iHeenhL2TFpZ3qlI+kDdPYui8qswr0arR3l7+EikMNMqPaG3Zdd0+txi9GK5NKmXmUS6ATRiR9D5xXdNwDqAPwI4EWpgyISa1l08MyGYbN3zuK1t8/Bqtuz3ycqHJFv/rEuCbsyOhv9sfnu68BkVDSjpsWEj3dmo7HdgieunYQnr/WtyN8rG1PcvrY02vuFZCCU6j7dcyulXqYdt/aY4Sqv2veEyZbkctzVVcT89c2+zQJ255fR+MfN8k4//e8fU2Vdvx58tLN3EdmtKRV4+48mnBbeNSRKo407o8XWqzB3d+0mT5ZGF+BoYQNunjwae7KqUdtqxn3TxmPOjee6TR67qy3l6ZgkhtiGt7sen20mG5YcyMf72zuHCcccr0NWZbNfBa21zlsC2xfbUisCer+33pP+SizuTEbJXazVWxuGaSfPOsw2DB4QJutsSi9GJGNriuv91FNvcrlnIpSbu49UyUTDyxud2w4vb0xRJfHjyx7mf6LY//3XaLUFdONVT/wdiREK/Onx8xyAGwFc3/V/ItVtSir3eVm7XUCYGiX30Vk82NvFr7uGhZpajBZH0sebH+KKseZwsePxu79koN1kxRPXTsLA/mHIq27FpNOGOc3eVNdq8nkbYuIePti3rsByXTh44m2LB3JrMOem8yAIAh5bEefzet/bmokLxwzH09/5nkRMK2vG7DUJCJdwBhOT1Yb8mjacMyrc42x1dIKrIYSpZU244YLRfq1Pqb364jd34o5Lx+Lj+y4T9V0nlTQiqUcx/s8iczB2xGDcP/1Ml8sfK5Zu+IArYs8MsW6Kof+SUu7Ui/BoYQOK6tpw1kh9FUSW4tD5323ONUJ8telYmcsaI1Lonp1Kzh4/icUNXuMP9ssYuT69NpMVc9cew56saowePhgf3Xcpfnu+fzOLetqPO8w2v9tmFU3+TQBCCpBpx1Qj91JU144r39+Nj+67DL/z8zdA+ieqJW4wGCYD+ADAF4IgHJAnJNIKk9WG6NwaxOTVyjaduRqkuDvpj2PFDUHZ48FgEDcMqmfSp9unkTmY8uZOnPfqdtz+RTSmvRvpVCvk+yPO7wvUJW/t8nlZpXaLno1Lb3cluofVxBc1oEzE7HGVzUbMXZskqpcQ0DkDS4OfdVfyqluwPbXCMdVpQlEDLp8Xhdu/iMb0eZGOO+ekT1a7gM1J5fg2pjDg3nOvb3YeLqEUsTcFfk4uc/m8u2NmLoc6ulTa4N/FcXWLEc+vS5I4Gmdy3kX/1MVU8X1lVbbItn2pePrVy3V6/XJPHqIyq2EXOs97T69JgMkq/ZBwsbXyevJlltBgpIe/KseP35UvhwI1ZvUCgKpmk2y/AdIHnxM/BoOhPzqLORcD+I9sEZEmtJms+POSw5i5PA4PLTuCmcuPwGhR/kCipx6Lf1rovuCvtkl/Cmsz2/Dapt4Xd3ES1Ynoq+cJ8EiB++Egy32oSSI1b8mmKeM6Z//ypxC4EsU0m7oaw98cKsDNnx3A098l4vqP9yGhqB5vbE5Dc1cX92ajFfcsjEGHCscQX4hNkCltXVwJvo0pRHWzUe1QvHovgJ4b3YwW9W40iD3Wia0NRtJaE1ukyHbk7CR8KM/7MMUyEYkxu13ArvRKLNyXh7SyJu9vCGKL9vcuxNxmtmFXurQ9h0Od2xo/Oigqs6BPIW+pBFrjJ6O8GV/vO44daRWwi7wr2W62YSd/A+SGmB4/bwCYCuBxQRB8PgMZDIa/GgyGeIPBEF9T47qmCWnProzKXl3qjxTUY192tYoRScffKd1DldlqkyUBl1/T1muGK7msO1oCAFhzuAhz18p/Z9ibngURvTWcbrqwc3jPgRxtHjsfWnoYzUYLPt2V43iu3WzD51G5SC8Pnllc1Ej6ibEjvRJv/pyO/1twCFUikz/BmjtX7aIiWD8wFZWrOJTluEKzY6p9ievpHGy22rEsOh8vbkjGz8nleGtLOv66OgEf7cjG3QsOYU+WMheBnn46Sv6sKpo6/Oqh5bFYMY8LTvRQRsXT7Kzu+HIr1N8eggYA+3NqcPeCg/hwRxZmr0nEq5vE94Ct5PBCcsOnxI/BYLgCnb18PhUEIVbMBgRBWCIIwnRBEKaPGsUxh8Hi5QjnIUl9e2gEq5+Tfa8HRJ29Nfzthu+NxX7izr5c13ndF/UL9ubJs4EAePub+4V1HqJ/0WDdJwBIL2/GV3vyek2lCQDRub5N+a0VP8RJP8xQDuVNRrSJnNkuWNvm/g45DJRaXfSDmQ5u/HvlzwWilDztlS9FJGPe1kxEJJTiuR+OYVWPXlA2u4BF+4Jn8gsp2PzsMCjXfjxyWHDP5Ocuh5FT5XmYlLdZvwKl5REBgYS25MDxXsMDf4grFn3DmrOnkjteEz9dQ7xWAcgB8LrsEZEmmF2cOdWYmUCOE7FJR/WKlPLwsiPyrFjo+U95Ggnd9akqmrQ3TMaXgtJiu/kqbcmB0LqoEKPZqE7yQg/E9mySipYvJvxlswtOydmeBEFwDNskbXK3Xza1W7DZy+QWcg2j1io1yhJ4cmqQJ37cNVPuXxSL97ZmyDKDktlqR4fImxxK8anGTwDnEVdDP8XeTItIKPU/ANI1X6ZvCQfQPcev0U33taUGg2EpOos+Py9VcERy0MO4ZL3o+U3YQzAf563Q+Pa0CnwTo+1hSOQsr7oVf10dj/yaNpx/ejiWPjpddzM5yS21rAmTx56k+HbFtte1nifamlKBVzelornDgpsmn475f56KIQNPzKiYVdmMv61OQFFdOyaPPQlLZk7DmacOVTFicsVdT7S8Gu3c2ddKy6qx3RxQMWZXAmk26jGZ3G1pdAHGjhgi6ToX7M3DV3vyYLMLeOiKCXjjzoskXb8SpJ4FUCu/LQp+vgz1MgFY7ua/Y13LHOx6LGoYGGmTVuuJSIV5H+3I6FEHpl2mu3QTNXbB3b3/lTV24OOdnmdzyapsQaNKQ15IHJtdwNHCemxLrcBfV3UmfYDOLtcvb0xRObrg03OKdyXp6SKt2WjB3LXH0NhugV0AIjOqsDS6dw+9f65LRlFdOwAgs6I56IZ0+zvFtq/kLOosilbi8JM/ExT465RhA/FZZI73Bfvw1DbcnuZ9Pyvu+h1JpVKDvZRdeeeXDMnWlVLaiI93ZqPDYoPZZsfKmELsyqiUbP1K2Zddjc1JZciqFFfrUOqEEVFfXnv8dBVyfsrVawaD4S10Fnz+VhCEZdKGRmp5Q8GpdM1WO7amlqOkXrlCZNF5tZhz03mKbY/c61kUNFmmC72bJo+WZb2B+mqP9moOkX8EQcBLEcn4MdH11N6H83sPtSipb8fW1AqED+qPuy4bhxFDBsgYm2yrllV5ozrFKfXU8P4xodSpV+FnkTl4ruv819RucZr9b38Q3fiRY4hJX3f/6gzZt+GL5JJG2O0C6trMuP3iMTh7VLjaIYlSrWCNJAMMkieafJlp8PPd4pNNnvxzvfqTUSjt86hcp+fe2RJ4Yknp4X92AY7JRN686yLMumZSQOvjSAWSii9DvSiE1LWaUCjxXQtP5q49hu1pymbz4wrqsSq2EI9eNVHR7ZI6BvYXM3mh/LpP38FSUJi8K6htc5v06WtHWiVmr0lwPP4hrhgbn74agwf08/Cu0NNfpa4Wcm9VybxSmZfkmckq/8VQVoV8s/sp0StsaNewuAH9DL0KrirtuyMnzheL9h9HxOyrccGY4ZrqoWbxUD9RyTjlLirsjrtzgD8F4+12ATHHnWu96F2Gi9lAy930fPLlc/0lpRxRGVXY5KUOlhjeilr39VlkDmZeeRb69/PeFr10/AhUZgRHTy8KTtq6IiLVeao5InVR5JL6dsWTPt3m73a+q0DKU+LueqvJqqlij0aLjXdvdObGT/f7tFxJfXuvpA/QOTOa3LOg5VW34pnvEnDPwkNYHVuIqmYj/rEuCXcvOISv9uRqsoB4P7USPyKPSbuzqmWKRH5KfOs9ExZSMyl4XD9lqHYK9LYYrVgVWwhA/R59Pc9lRwrcF5FWO041eUtEuWoPfLgjS5ptS/DB+5tIEwT32//pWCkeWBSLp76NR2ppk+N5Xya88NXKQwX4+/fHJE36AMDM5XGilm8xWpFZ4Vuy6KyRrK9G8goo8SMIwluCIBg4zEs/lDw5b031PmZarrxAbau4qREB4LzRwdW1OhgocWm3PbUSb29JV2BLvjEA+CGuRO0wSAWrDxe5fP6rvfIN+7PY7Hho6WFsS61EYnEjXt+cjiv+uxs/HStDckkjPtmVg8USz8wmxXnEXeJn2lmnBL5yD8Scc9SqQ+QrT0kss9XudiavdUddJ2uqW0LvTnT3R6i1vIWcCTVfNLab8dS38bj07V14eNlhlDd2ONWPkltetbSFra12O15XuMbVioMFuOaDPfjdx3t7zcQk1TF5+UFxk0MIgoDaVpMkCaPqFhOu/XAvVscWAujcZyw2O/ZlV+Mf65IRV1iPqMwqPLTssGO6cil/Z29JMERMKjWtRk3eYAk2giCgpkWa/TNUcagX9SJlF9miuja0GK24aOxJCHPRiA+23+3wwfy5SE2JXSC1rAmpZU3eF1TQWz9rJxFFymgzWbHEXWNexoNhZEaV1/oaH+7IwtPXnyPZNr+JKQx4Hf3CXN+XGiLRkDh3DUcxwzK03nPU3V+yeP9xvL/dfY+ClzemYsq4Ebj4jBG9nl/LhLXmqDXU69VNaYjKrALQOf303LXH0C7T9Nsmqw0/JpZh4shhuPLsUx0JzaMST1Nf1Wxym5yXw6G82l6FkV+KSMbFZ5yEC8dIN5vhvK2ZeOq6sz0u02y0ILuyBWEG4LkfklDW2IGzTxuG5Y9fjkmnBTY5RlljB17fnI5PI3PQ2G5B+KD+aDVZey3TYrRiY2IZnrx2kmSnQi318gaAJ1bGY9TwQVj48K9x+cRT3S7n7u8PtuslORTXteOJb48ir7oV40YMxpJHpzudo8g7DvWiXqQ4uNjtAl7akIzffbwPd355EDf/b7/TgV7JeKQidggAkTtmWwjOXR/ipry50+1rch7mArk4stkFxOTV4qdjpaht9b0467sSzPIyQMKhXtXNvXuqGC02PLrCdXd9MYf5PX4M85LrnNZqsmJ7agUiM6ocFz3uzlmekj7dXCW1gnF2Hanw7N9b39nUjhY2yLKdvOpWXPDaDvz7x1Q8uPQwJv17G6xd508ttQ89cZdM/qjPrJ6CoPykD/uyqzF9XhTuXxSLe7+OddQFy69tw6s/pUq2ne7ZSd1dC+zL7j6WSvOldsiUhAwkoVTTYsLcH46xt4qfXtuc5ujlV95kxAvrk1WOKDixCwNJLrm0ERt6dFnNr2nDf7dlYvKY4ahrM+OOS8bivNOH+927qLHdjCUH8rE6tgh/uGQs5t7MGbqCFRvTRNq8gBEEAS+sT3LURzgtfBDW/+1Kxba/T8LZpZYfKsC/b5/seByZUeW2rpLcx6SsymbcfNHpkq6zsd2MGYsPI7ur6Oi0s07BmievCKg3yKE8eetOSUKBE0j3RbsGf6IA9H8OveV/zvXTIjOqcPslY922IbV4PHXF1UymsQoXdH57SwbMbup3xhyvw6G8WnzcJ0Elh+jcWgiCADGjocw2OxrbzTjZRf0tue7TmnyY3c2T8iYjcqpaccGY4aLe525Ybig50KdNkF3Vgvo28WU7Qh0TP9RLs1H8wWVzUhl2pVdhwsihmP27c/D0mkSnZb7vMR596YF8bJh9tV8nZ6PFhtu/iEZFV5X/dfElWBfP7ucUPJ7+zvn3QdqSVdmMb2OKYLXZ8fCVZym23YX7pL/b6+9FUEFtW6+imLWtJkXrirhr0PnToF+8P79X4uc/Hu5ky92xc8He4/j7jdLerNiWWulI+gBAQlEDonO1Oy17Smkj1hwuQr8wA2ZeOTEoLmq0epdem1FJQxAEl8evp79LROEHd7h9n6eaaU+vSfA41CaUVLcYvU57//CyIwpFA0z69zacMnSAqPf86p1IZM+7DYP69x4C7M9Mar6QohxGq0n88e5NlgdwyV3Sktxj4od6+cnHKYm7RSSU4sUNJ7rbHS2oR2Wz5wKQbWYbvo0pxAQ/qtdH59Y6kj5ad/7pLAbtzeSx0o1lDxY2FvjTpPu+jsGsayZh2lmnYMbiw46L0Z69F+WSWtaEmcuPyDK7l7fjcbeYvFos2JcHk8WOx6+ZiDgXM/SILRSqVS1G90OP5R7S2+FhqMCq2EJEJJTitPBBeOHW8zFlnG/1C1wlst7YnI57fn2Gv2GizcVQCbsEbezC2jY8uOSwY/1aL3S/+nARRgwZ4NeEEHqVXSluOmtPjBYbPtiehcP5dbh0/Ai8esdFGDGk8+Lf39p8ns6x29MqFZ9NVswhpa7NjKZ2+ROhgiDgN+/tln07YjX48bdHZVTjjkvH9n5SpsO4FM23p9ckYuPTVwe+IiI/MPFDvXibSWD26gR88sBlCB/Uuet80KdWQHyRb+O818WXYM6N53pdru8sIksOHPdp/VogVRFSPRvc4zM64+QhjvHlREqLL2pAQnEDrjtvlCo9EOSe0t2bWSuPwtR19yyhuEET01e3mawYNkjZZopapdy2JJfjjc0n7uomFjcg5pUbMXSgf39/ZbMRC/cFdr4UBKFXIqzFjzvVfX1zqMBlUknL5Jx1L1Bq7K5ui9T74a2f07H2aGfyL6uyBXWtZix//HIAwEYvSXeNdsLyqrrZiOfXJbl9fe66Y7JtO6uyGS9uSEZaWbNs21DayxtTnBI/ch3HpbhxV91iwszlrntSBekuTUGExZ1JlB3plXhva6bjsZiCn3196UMRu+jcWuRVtzi6WQfriZ68mzIu9Hr/kLYIgvM48mCxI63C+0IemHp0mRYE90OtlFTVbITNLiCltBGZFc2KDLeRa4iAN+/0KYjd2G7BL8mBfaeBkmM2xG9jlZs1ieSxMVGaXpB2u+BI+nTbnVXtKMzr6ddeVNfmslei1rWarLj2w72I8VDLZ1+2tOegHV09nARBwFPfxusq6QO4HoYp11H8s0hp6h0V1rW7fL6iSVs3P1uMFsTk1QZ0rUfawsQPifZDnHJ1HgDg5s8O4N8/psJuF2BXMfOj9yKKauh5V4aTphH5b7aL2mrBrt1sw8PLDuOPXx3C7V9E4+k1ibDIPCOeWg3vmhbnhnWcxNNVi/XOlgwkuShA6y+ph7mKSdJ1mG3YkVaJTcfK0NiuflKzW2aFvi7Cxdjvpg5Vu7lzKGZOlfshZb/7eB9+Ti53+7qWZHUNjUsuacRV7+9WfFbPf6xLgslqQ2pZE0obtJVYkItcQ3blHpq6LVU7MyceK27A1e/vwUPLjuCK/+52msmPghOHelFQWHu0BDOvOgsWm3qJH7FbZuck71iYjYjcufPLg70e70iXv1G8KrYID0w/Exef4Vt9HT2LL2rA/y04hNfvvAhPXjsp4PUlFssz5bc3RosNj6444phy/KyRQ7Fh9lUYPXywKvH09Oku+WdM0or18SXIrWrBb88fhf5hYZj1zVGPy+uprlJlkxGf7Mr2WF9MLh0WG/ZkVqN/P33erG1G3QAAIABJREFU63fV1uZ9xMB9tCMbLabO/dVmF/DOL+n4wyVjZK+DJwWtFuPXAn0eBUiXvtqTJ0vXc1LPcz/IN5adiMgf3xwqVDsEANoZ2vzuLxl4YuVRlNQH1ltA6iSHL9cfm5PKcKSg3pH0AYCiunYs8GGouRKiMqvVDkEx/4pIwdLoAsxcHocHlx5WOxxFrTlcpGodt3oN9XKj4BCb33s4YlWzCcX1roeoqSUIclCawx4/5JfKJiPGjFD2bpnaU77y+CK9/No2lDa0Y/wpQzVzkUNEoW1jYik+feAyx2ObXUC/MAM2JpRi+cEChA/qjzk3eZ+cQIo48mtb8bffnoPbLh4j+/Y82ZPlf4Ji4itbA9r2gZwaXHPuaegXJv4sPHet6yK638YW4eXbL/S7eLYUmo2Bt2mUuvtuswv4JaUcKxSY2S+5tBHLDxYgr7pV9m0pZdlB6Qpi+0vvvSCyKpvx/rYsVDR14NaL1D1e6tXDy45g2MD+uHvqODz9u3M02/tHq3FpARM/5Jc1h4vwwq3nK7pNnZ+zQlZ0bi0e/M0EtcMgIp3LrmwR1cvwSH4dHv/mKGyC4DQsdebyOMnisnqo+XGsuBHPfp+IX+Zci8ljQ7MA/qMrOj/rS84YgS/+/CucPSocHWYb/rwksF4j21Mrce+08VKEKJrNLmCHhup5uFPTYsJzPxxzuvsvpydWxiu2LaUYLRzWLhdB6Cwb8MiyI47hgTlV2ujRpzfdNaI+2pGNU4cOxJ/Zdg86HOpFfvlqbx7uXnBI7TAUxbwTEVHw+v3nB5DtoWBsTxsTSjFjyWF0WGyy1iKLK6jHtHlRHpex2QUs0PCU4kpJLWvCbV9EIyavFpe9vSvg9W1PUyfxklTSiAte245/bUxRZftivPpTqqJJH5KPntuwUZlVuqoJFQxe35ymdgjkByZ+yG8ppay3Q4FjTy4ikltBbZuo5V/YkCxTJL29FJHs0zDmX9zMqCL1TFlaZ7ba8dCyI4rPjCSlVzamwCrB93YgR9ppv13ZlVEl+zZIfoKg77YWr0eUp+ZkO+Q/Jn4oaAhBdr9CzydZIqJgUtVsVDsEJ2WNHSiqC6xY5jGVZsoi/7SbrY7pvQPVPQSOyBs91UvqS4DAIr86IwgCfk4uxxub0/BjYqnu61MpiTV+iHzE84o8uhN6PHETkVy02DPGZLGJWl4QBKeilZ/uypEypJCSUFQf8DoEQcDKmELsza7BuaPCMffm8zBiyAC3y0vR04dIrDaTFXod7GWAge1zlcxenYBHrjwL1553mqTrXbA3D590ndtWxRbpOnGpNPb4oaCh9qFdn6dM7WBCn4jkEpFQqnYIAUsvb3Z6Tu3ZLoNZQ3vgn92SA/l4e0sGDuTUYMWhAsxeneByOUEQYLKKS/T5ghe8FOoECAjjnUNV7EivxKyVcUiVeKjdJ31uaCzcd1zU+9lDyD0mfihoBNtQLyIi0oafjpWpHYITsVPOPrzsiNNzPCuq6/3tWb0ex+bXobSh9/C9qIwqTH5jBy54bQf+4WZ6ebXZ7ALyqltkSU6R+gTo9+aaILDHuJosNvUmH6jzoaB3u9mK/JpWJoO6cKgXEamKx2IiCkVir1WaOizIKG/GReNCc1p3OVQ0dSCltAmXjT9ZsnXmVrdi/ClDAQAtRgueWnVievLdWdWSbUcquVUtmLk8DpXNRoQP6o/FM6fhmnOlHbpB6tqSXI4bLxytdhiyECA+iR4qBEFAbnUrSurbcfmkU3HSYPfDUAOxI733DIm1rSYkFjXgwjEnYcLIobJsEwD+MD/a5fPd+8PGhFK88mMKLDYBF44ZjlVP/gajhw+WLZ5gwMQPBY2aFpPaIRAREanmq725WPjwNMdjLRatDiZXvb8HABAm5XVjj5sZH+3IlnDF8pi3NROVXftRq8mKf0Wk4ODLN/BiWkdMVjssQTwTnidmq13a36+OfLorB1919cY5LXwQ1v71Spw7OtxpOavNjqjMapQ2tOOGC0fjnFHOy/gqrqAej62IQ0dXDbsP770EMy6f4Pf6/NVhtuHfP6Y6Zh/LqmzBV3vy8M7dFysei5ZwqBcFjeM14qbj9cW4EcplfsefMkSxbQUTdvgholDkz3V132mLecEjDblqLq8+XCTPiiW0v8+08GWNHShr7FApGpJL3+9ZT9SuAapFDW1mLNh3YghWbasJy6LzXS77woZkzF6TgHlbM3Hn/INIKPJ/tsj/ReY4kj4A8MH2LNhVKGq/Pa0C5j7JzlWx2j8ey42JHyKZ9K1JxOJzRETUfeddiouV008K7W7rWqRkPUK5mhXdd8lJP5o7rGqHIBs2r51tSipzKqWw9miJ03LljR3YnFTueNxhsWFlTKHf243Nr+v1uKHdglwVZuVqlKB4vx4x8UMhjU0bDeg6M/G7IKJQ8N9tmQG9v9184gKONdK0R8nv5NnvE2VZL3uS6Y9eh3oBnN3OFZPVt+/b1cQHW5LLXSzpP7uGTlRWmx1GS+gWsWfih4iIiEgh3xwqBODfXerShg5c/OZOPLYiDi1G3tEMdSX1vg3Jyq1qQV2r73USDTDgeI3yd+lJPo0d+j1ehDFT6URDuRbF2ewCsitbXL429d1IXPb2Lrz1c7oqQ9DUxuLOFLI4tZ9GsI8uEZHP7EJnvY7Po3LVDoVc0GLT4pb/HQAA/POW8/HcTed5Xf7h5Yd9TipRkNDijkmycTfktM1kxbBB+r78f3DpYbevtRg7e8yujCnE1Akn4+5fnaFUWJrAHj9EPmKiSCZdnyvTP0QUSkzWwLqbLz9YwFm9SJTPInNQ2tDudTkmfSiYsIamM3eXLD3r+QChfe/19U1paoegOCZ+iBSiZMFHIiLStsiM6oDXUddmliASkpLWz/TdQw0ptOh5VEsoJy/EKmvsnfgN5XvazU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\n",
 389             "text/plain": [
 390               "<Figure size 1440x720 with 1 Axes>"
 391             ]
 392           },
 393           "metadata": {
 394             "needs_background": "light"
 395           }
 396         }
 397       ]
 398     },
 399     {
 400       "cell_type": "code",
 401       "metadata": {
 402         "colab": {
 403           "base_uri": "https://localhost:8080/",
 404           "height": 634
 405         },
 406         "id": "R_ctvXcQL1Xf",
 407         "outputId": "4a3a36e3-c071-4353-cd86-0ab6b1afba0e"
 408       },
 409       "source": [
 410         "load_avg_1_min = df_Ellis[['ellis-load.avg_1_min']] \n",
 411         "load_avg_1_min.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
 412         "plt.xlabel('Timestamp', fontsize=30);"
 413       ],
 414       "execution_count": null,
 415       "outputs": [
 416         {
 417           "output_type": "display_data",
 418           "data": {
 419 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\n",
 420             "text/plain": [
 421               "<Figure size 1440x720 with 1 Axes>"
 422             ]
 423           },
 424           "metadata": {
 425             "needs_background": "light"
 426           }
 427         }
 428       ]
 429     },
 430     {
 431       "cell_type": "code",
 432       "metadata": {
 433         "colab": {
 434           "base_uri": "https://localhost:8080/",
 435           "height": 634
 436         },
 437         "id": "Gkd5ecCmL6Bw",
 438         "outputId": "385a467a-5cb2-49e9-ba49-dd68c7cfb6c6"
 439       },
 440       "source": [
 441         "cpu_wait_perc = df_Ellis[['ellis-cpu.wait_perc']] \n",
 442         "cpu_wait_perc.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
 443         "plt.xlabel('Year', fontsize=30);"
 444       ],
 445       "execution_count": null,
 446       "outputs": [
 447         {
 448           "output_type": "display_data",
 449           "data": {
 450 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\n",
 451             "text/plain": [
 452               "<Figure size 1440x720 with 1 Axes>"
 453             ]
 454           },
 455           "metadata": {
 456             "needs_background": "light"
 457           }
 458         }
 459       ]
 460     },
 461     {
 462       "cell_type": "code",
 463       "metadata": {
 464         "colab": {
 465           "base_uri": "https://localhost:8080/",
 466           "height": 624
 467         },
 468         "id": "EycZrQU0MBSX",
 469         "outputId": "73cb3b63-1038-48d3-ff11-1a2dda4941df"
 470       },
 471       "source": [
 472         "df_dg = pd.concat([cpu_system_perc.rolling(12).mean(), load_avg_1_min.rolling(12).mean(),cpu_wait_perc.rolling(12).mean()], axis=1) \n",
 473         "df_dg.plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
 474         "plt.xlabel('Year', fontsize=20); "
 475       ],
 476       "execution_count": null,
 477       "outputs": [
 478         {
 479           "output_type": "display_data",
 480           "data": {
 481 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\n",
 482             "text/plain": [
 483               "<Figure size 1440x720 with 1 Axes>"
 484             ]
 485           },
 486           "metadata": {
 487             "needs_background": "light"
 488           }
 489         }
 490       ]
 491     },
 492     {
 493       "cell_type": "code",
 494       "metadata": {
 495         "id": "YoQA_MIBMknS"
 496       },
 497       "source": [
 498         ""
 499       ],
 500       "execution_count": null,
 501       "outputs": []
 502     },
 503     {
 504       "cell_type": "code",
 505       "metadata": {
 506         "colab": {
 507           "base_uri": "https://localhost:8080/",
 508           "height": 710
 509         },
 510         "id": "Pi8UMMitMa3Q",
 511         "outputId": "548bd638-42a5-4cc4-c073-01f07ad9a4cd"
 512       },
 513       "source": [
 514         "# we establish the corrmartrice\n",
 515         "import seaborn as sns\n",
 516         "color = sns.color_palette()\n",
 517         "sns.set_style('darkgrid')\n",
 518         "\n",
 519         "correaltionMatrice = df_Ellis.corr()\n",
 520         "f, ax = plt.subplots(figsize=(20, 10))\n",
 521         "sns.heatmap(correaltionMatrice, cbar=True, vmin=0, vmax=1, square=True, annot=True);\n",
 522         "plt.show()"
 523       ],
 524       "execution_count": null,
 525       "outputs": [
 526         {
 527           "output_type": "display_data",
 528           "data": {
 529 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\n",
 530             "text/plain": [
 531               "<Figure size 1440x720 with 2 Axes>"
 532             ]
 533           },
 534           "metadata": {}
 535         }
 536       ]
 537     },
 538     {
 539       "cell_type": "code",
 540       "metadata": {
 541         "colab": {
 542           "base_uri": "https://localhost:8080/"
 543         },
 544         "id": "rkYwyKtXMvpy",
 545         "outputId": "05a92d00-674b-4e12-c9d4-4a70b2d19768"
 546       },
 547       "source": [
 548         "df_Ellis.corrwith(df_Ellis['ellis-load.avg_1_min'])"
 549       ],
 550       "execution_count": null,
 551       "outputs": [
 552         {
 553           "output_type": "execute_result",
 554           "data": {
 555             "text/plain": [
 556               "ellis-cpu.system_perc       -0.316956\n",
 557               "ellis-cpu.wait_perc          0.886739\n",
 558               "ellis-load.avg_1_min         1.000000\n",
 559               "ellis-mem.free_mb           -0.335300\n",
 560               "ellis-net.in_bytes_sec      -0.681849\n",
 561               "ellis-net.out_packets_sec   -0.116851\n",
 562               "Label                        0.279330\n",
 563               "dtype: float64"
 564             ]
 565           },
 566           "metadata": {},
 567           "execution_count": 12
 568         }
 569       ]
 570     },
 571     {
 572       "cell_type": "code",
 573       "metadata": {
 574         "colab": {
 575           "base_uri": "https://localhost:8080/",
 576           "height": 235
 577         },
 578         "id": "5oQK-ddinvCM",
 579         "outputId": "fd00e983-d38e-4d4a-f1e1-23ab6525ecc8"
 580       },
 581       "source": [
 582         "## ## using multivariate feature \n",
 583         "\n",
 584         "features_3 = ['ellis-cpu.wait_perc', 'ellis-load.avg_1_min', 'ellis-net.in_bytes_sec', 'Label']\n",
 585         "\n",
 586         "features = df_Ellis[features_3]\n",
 587         "features.index = df_Ellis['Timestamp']\n",
 588         "features.head()"
 589       ],
 590       "execution_count": null,
 591       "outputs": [
 592         {
 593           "output_type": "execute_result",
 594           "data": {
 595             "text/html": [
 596               "<div>\n",
 597               "<style scoped>\n",
 598               "    .dataframe tbody tr th:only-of-type {\n",
 599               "        vertical-align: middle;\n",
 600               "    }\n",
 601               "\n",
 602               "    .dataframe tbody tr th {\n",
 603               "        vertical-align: top;\n",
 604               "    }\n",
 605               "\n",
 606               "    .dataframe thead th {\n",
 607               "        text-align: right;\n",
 608               "    }\n",
 609               "</style>\n",
 610               "<table border=\"1\" class=\"dataframe\">\n",
 611               "  <thead>\n",
 612               "    <tr style=\"text-align: right;\">\n",
 613               "      <th></th>\n",
 614               "      <th>ellis-cpu.wait_perc</th>\n",
 615               "      <th>ellis-load.avg_1_min</th>\n",
 616               "      <th>ellis-net.in_bytes_sec</th>\n",
 617               "      <th>Label</th>\n",
 618               "    </tr>\n",
 619               "    <tr>\n",
 620               "      <th>Timestamp</th>\n",
 621               "      <th></th>\n",
 622               "      <th></th>\n",
 623               "      <th></th>\n",
 624               "      <th></th>\n",
 625               "    </tr>\n",
 626               "  </thead>\n",
 627               "  <tbody>\n",
 628               "    <tr>\n",
 629               "      <th>14-09-2016 0:00</th>\n",
 630               "      <td>12.9</td>\n",
 631               "      <td>1.73</td>\n",
 632               "      <td>5413.200</td>\n",
 633               "      <td>1</td>\n",
 634               "    </tr>\n",
 635               "    <tr>\n",
 636               "      <th>14-09-2016 0:00</th>\n",
 637               "      <td>10.3</td>\n",
 638               "      <td>1.79</td>\n",
 639               "      <td>5201.667</td>\n",
 640               "      <td>1</td>\n",
 641               "    </tr>\n",
 642               "    <tr>\n",
 643               "      <th>14-09-2016 0:01</th>\n",
 644               "      <td>11.8</td>\n",
 645               "      <td>1.52</td>\n",
 646               "      <td>5370.733</td>\n",
 647               "      <td>1</td>\n",
 648               "    </tr>\n",
 649               "    <tr>\n",
 650               "      <th>14-09-2016 0:01</th>\n",
 651               "      <td>12.9</td>\n",
 652               "      <td>1.43</td>\n",
 653               "      <td>5292.467</td>\n",
 654               "      <td>1</td>\n",
 655               "    </tr>\n",
 656               "    <tr>\n",
 657               "      <th>14-09-2016 0:02</th>\n",
 658               "      <td>12.1</td>\n",
 659               "      <td>1.44</td>\n",
 660               "      <td>5318.167</td>\n",
 661               "      <td>1</td>\n",
 662               "    </tr>\n",
 663               "  </tbody>\n",
 664               "</table>\n",
 665               "</div>"
 666             ],
 667             "text/plain": [
 668               "                 ellis-cpu.wait_perc  ...  Label\n",
 669               "Timestamp                             ...       \n",
 670               "14-09-2016 0:00                 12.9  ...      1\n",
 671               "14-09-2016 0:00                 10.3  ...      1\n",
 672               "14-09-2016 0:01                 11.8  ...      1\n",
 673               "14-09-2016 0:01                 12.9  ...      1\n",
 674               "14-09-2016 0:02                 12.1  ...      1\n",
 675               "\n",
 676               "[5 rows x 4 columns]"
 677             ]
 678           },
 679           "metadata": {},
 680           "execution_count": 13
 681         }
 682       ]
 683     },
 684     {
 685       "cell_type": "code",
 686       "metadata": {
 687         "colab": {
 688           "base_uri": "https://localhost:8080/",
 689           "height": 386
 690         },
 691         "id": "qbqn755fo81g",
 692         "outputId": "c9204a3a-f6a7-44de-a499-32280bf3e02b"
 693       },
 694       "source": [
 695         "features.plot(subplots=True)"
 696       ],
 697       "execution_count": null,
 698       "outputs": [
 699         {
 700           "output_type": "execute_result",
 701           "data": {
 702             "text/plain": [
 703               "array([<matplotlib.axes._subplots.AxesSubplot object at 0x7f9828364c50>,\n",
 704               "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f98280c8750>,\n",
 705               "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f9828121350>,\n",
 706               "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f9827cb6e90>],\n",
 707               "      dtype=object)"
 708             ]
 709           },
 710           "metadata": {},
 711           "execution_count": 14
 712         },
 713         {
 714           "output_type": "display_data",
 715           "data": {
 716             "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAEcCAYAAAD+73KmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydd3xURdeAn7slPSEJaQRCCb2DgK8oiqI0AUEpigqIImIDAUFEQVBQXxuW91NEBAQFVEQ6AoIICEjvIdQQQnojdbPtfn9sssmym2RTNhuSeX4/NDt3yrn1zDlzZkaSZVlGIBAIBAIHoXC2AAKBQCCo2QhFIxAIBAKHIhSNQCAQCByKUDQCgUAgcChC0QgEAoHAoaicLUB1xGg0YjCULxhPqZTKXbaqEbI6BiGrYxCyOobKlFWtVtpMF4rGBgaDTHp6TrnK+vp6lLns1ZQcPFyUBHu7kp6rIy5DQ+tg73K1XxbKI6uzELI6BiGrY6itsgYG2v5uCUVTDRix7AgAv47tyvClpr8PT73PmSIJBAJBpVFjxmji4uIYNWoUDz/8MAMGDOCHH34AID09nbFjx9KnTx/Gjh3LzZs3nSxp8RQoGQC9wehESQQCgaDyqDGKRqlUMmPGDLZs2cLPP//MypUruXTpEosWLaJ79+5s376d7t27s2jRImeLahd64+3h3xUIBILSqDGus6CgIIKCggDw8vIiPDychIQEdu7cyYoVKwAYMmQIo0aNYtq0ac4UVSC47TEY9KSlJaHXa6uszYQEidtlxayaLqtK5YKfXyBKpX0qpMYomqLExMQQERFBx44dSUlJMSugwMBAUlJSnCydfdwej6igtpKWloSbmweeniFIklQlbSqVCgy3iUu5JssqyzLZ2RmkpSUREFDPrjI1TtFkZ2czceJEZs6ciZeXl8UxSZLseimUSglfX49yta9UKspdtijePu54uTr29lSWrFWBkNUxlFfWxEQ9Pj6+VaZkClAqbx9vf02W1cfHl5ycDLufnRqlaHQ6HRMnTmTQoEH06dMHgLp165KYmEhQUBCJiYn4+/uXWk9VhzfbIj09B72DFU1tDcF0NLVBVqPRiNEoU5W2d022EpxJeWU1Go1Wz05x4c23j8otBVmWeeuttwgPD2fs2LHm9F69erFu3ToA1q1bx4MPPugsEW1S3KC/8Tbx7woEAkFp1BiL5ujRo6xfv54WLVowePBgAKZMmcL48eN57bXXWLNmDaGhoXz++edOltSSpf9G20w33h6dIYFAICiVGmPRdO3alcjISDZu3Mj69etZv349PXv2xM/Pjx9++IHt27ezbNkyfH19HSqH0ShzPMZyro7eYOTo9XSy8vRW+YtVNCIcQCAoM8OGDSI9PR2A3r3vBSA5OYm3357uTLEqxIcfvsfVq1cAWL58iZOlKR81xqKpDugNRnp8vJukrDwAVAqJF+9pzFd7r5rz/DvlXnQGmW3nE+nTMhBdMWsMCc+ZQFA5BAQEMm/eR84Wo9zMmDHL/PeKFUsZPfpZh7Wl1+tRqSpfLQhFU4l0/3yfxW+9UbZQMgD/+Wyv+e/3tl0oti4xRiO4Xdh8NoENZ+Irtc5H2oUwoG1wiXm2bdvCmjWr0en0tGnTlqlTZ9jMFxcXy/Tpr7FixS9cuXKZDz6Yi06nR5aNzJv3EWFhDS3y5+Tk8PnnH3P+/DkkSWLs2Oe5//4H6d37XgYNGsKhQ/9St25d5sx5Hz8/P155ZTyvvPIarVq1IT09nXHjRvH775st6ly5cjlqtQvDhz/Bl19+yqVLF/nyy4UcPXqYTZvW88478/jkkw+IiDhHXl4eDzzwIM899wKAuf6//tpJXl4ezzzzJE2ahPPOO/NsnuvUqa/SsmVrLlw4T5Mm4bz99ru4ublx/nwE//vfAnJycvD19WXmzDkEBATw0kvP06xZC06dOsFDD/WlU6fOfPHFp+Tm5uLiouaLL77Bw8OzLLfPCqFoqhGeLkqytQYAxMIAAkHxREVdZefOHXzzzRJUKhWffPIh27dvLbXc+vW/MXz4SPr06Y9Op8NoNFjlWbZsMZ6eXixf/jMAGRkZAOTm5tKqVRsmTpzK0qXfsXTpIqZMecMueTt06Mzq1T8yfPgTnD8fgU6nRa/Xc/LkcTp27AzA+PEv4eNTB4PBwKRJL3Lp0kWaNWturuPFF19l7dpfWLZsZYltRUdfY8aMWXTo0In335/L2rW/MmLESD7//GM++OBT/Pz82LlzO4sW/R8zZ74DmCJ2v/9+BTqdjiefHMa7775P69Ztyc7OwsXF1a5zLAmhaKoRf0y4i3u//AfgtplVLBAMaBtcqvVR2Rw9eojIyAjGjRsNQF6eBj8/v1LLtW3bgeXLl5CYmEDPnr2srBmAI0cOMXfu++bfPj4+ACgUCnr16g1Anz79eest+8d9WrVqTWTkebKzs1CrXWjRohXnz5/j5MkTvPba6wDs2rWDDRt+x2AwkJKSTFTUFQtFYy9BQcF06NAJgL59H2bNmtXcdVd3rly5zOTJLwNgNBqoWzfAXObBB03nFR19jYCAurRu3RYAT08vKgOhaKoRbkX2cjAIRSMQFIssy/TvP5AJE16xSN+6dVOJ5fr06Ufbtu3Yv38f06ZNYtq0mURFXWXjRtMUiE8++cJuGQrmqiqVKoz5YaJabZ7NvCqVitDQULZs2UT79h1o2rQZx44d4caN6zRu3ITY2BusWvUj3323HB8fH+bPn4NWW77lfawn0UrIMjRpEs633y61Wcbd3b1cbdlLjYk6q2kIPSMQFE+XLneye/dO0tJSAcjIuEl8fFyp5W7ciCE0tD7Dhz9Bjx49uXz5IkOHjmDZspUsW7aSgIBAunX7D2vX/mouU+A6MxqN7N69E4AdO/4wWw316tUjMvI8gPm4LTp06MSqVSvo2LEzHTt2Zt2632jevCWSJJGdnY2bmzteXl6kpqZw8OB+m3UolSr0euvo1aIkJMRz5swpCzkbNmxEenqaOV2v13PlymWrsg0bNiI5OYWIiLMA5ORkl9qePQhF42Ta1TPNpO3coI5FuhijEQiKp0mTcJ5//kUmT36FMWOe4LXXXiY5ObnUcrt2/cmoUY/zzDNPcuXKZfr1G2CVZ8yY58jMzGDUqBGMGTOS48dN23e4u7sTEXGWUaNGcOzYEZ555nkARo4cxbp1axg79klzaDWYwqpff32i+XfHjp1JSUmmXbsO+PvXxcXFlY4dTcqqefMWtGjRkiefHMbcuW/Tvn1Hm/I/8sijjBnzBHPnvl3sOTZs2Ii1a3/lqaeGkZmZwaOPDkOtVjNv3n/55puvGDNmJM8886RZ6RRFrVbz7rvvs2DBx4wZM5LXXnu53JZVUSRZDAZYodMZyrUsR7dP95S7zd+f60YDX3dzHb8+05XGdR27XlZtWCrFGdQGWePjrxES0sgBEhWPs5d16d37Xnbs2Ft6Rpwna9EIO3spr6y2noEavwTN7c6t6l5M2BQIBDUFEQxQTRF2pkBQvbDXmqkKbt5MZ9Kkl6zSv/ji6zJZM1WFUDTVhNgMDWF+hZEfYsKmoLojy3KVbxMgMFGnjm+p82kcSVlHXITrrJqgu8VHKoIBBNUZlcqF7OwMMd+rFlKw8ZlK5WJ3GWHRVCK/PduNoUsOV0pdwqIRVGf8/AJJS0siKyu99MyVhCTdPtsj13RZC7Zytjt/WYUSFE9DP3cuvtfPHMWz70oKk38/yz1N/DHKMgei0mgd7EVEQlapdQmLRlCduZKqYeJv11g5+g78POzv2VYEeyPktp9PpEOoDyE+blUglW2cHXl4ODqNl349zaoxXWgWUPI6ZVUhq3CdORBFvv/aYJT5cmh7Dk+9j+e72w4JlbD0dTurN3QpKRuNznr9p6rGYJSJSMh0thiCYlh+OIbkbC0HotKcLQppOVpi0nMB0wrqb20+zwu/WM8RiUzI4nRsRlWL5xR2XjDNKTpxy5YlzkIoGgeiVOQrmiJKozj1Id9yxBkWjUZnYOTyo7y5KaLqG7+FxQeuMfrH49VC2by9OYInlx91thiCYhi46F8e/d7ksi7YsTb2pobfTsZa5Hv6x2M8u+pElcvnDAz510FRTWI1hKJxICpFoUVTVpxh0RTsjXPrxm3OIDLR5F5MzKz4rOSKsu18EheTsp0thqAYtEX2dCr6qn345yWb+a+n5TpaJKdTMMarqCZRgULROJDG/qaZ/YPbh5jTitMft7rOavsYTcELcrsMqNY2nP35iknPpdune9gRmWSR1vOrfyzyXUrKptune9h/NdWc9tiSw5y84fzOlCMp+H4o7DRpTsTc5Ei04wI7hKJxIHU9XTg89T4eblP6Eur16lju+eCMqLMC91116AQVyOC8BUdqFgajzKd/XTbv/lpZOKsfcCHf4p1ZxM1b4D4rytHrpo/n35dSLNKv5Vs1W84l8NfF0tdIu90otGhKzpep0bPmWAzP/3ySF3+1HteqLISiqXJMD8C94f6E1imMigmvaxkZ4szw5lutK6fIUKBpqqlF88QPR5j42+kqb3fv5RSSy6EsjlxPZ/WxGyXu6loWnN0ZKdggsDQ++cu0QnFKtqULNie//DtbI5m+4VylyfX6urPsvJBUekYHY7ZoSrlR726L5M3fzzhcHhHeXMUUfDclSWL9uDuLzecM11l1+qYXvB7luQ6yLGOUC4MxHMHl5BwuJ5cvJPTrfVcJ9XFjSId6ZS47Zd1Z6tdxY10Jz05J6G65oPoKLvx4axBLVbH03+gy5f/7sqVFE59RuZZd0Xb+vpzC0DurdsHRWzEa7RujScnWVYU4wqJxFqV9Ap1q0TjfoDFTnquwYPcV7lqwt9pOel3673Xm77hY7vI3bmrKXEaZf1ONRRTNmbgMWs/Zzr/XLEOUC0KFS6IqHpFcncHKEilAZ6jYvV15NKZC5asCWZbZezmlXM+xva6zqnrXhaKpYux9ZGpyMEDyLR8Poyxbpe3K95tfTSl7tNcvx2+Y6q3iizhv2wU+/NNSgby65jTfH7xWpXLYQpH/phf9aJ28YZpT8s+VwoHyPyOTePT7w6w/XfomYlC6FazRGco98D525XH6LTxo81h8ZsUskur4eqVkay3uz84LyUxZd5aVR2+UWO5AVCrdPt3DpeTCd6Xg0S/Nqq+qPqVQNE6itJ5EZUdbrTh8nXPxZZ+TkpKtpdune9h+PrHEfOk5Oh79/hBXSlEM/1xJpf/CgxYft2/2RdF/4UGupli7omJLcXFEJmZZu1EKItaKJJ2Lz2TF4esl1gWmweM1J2JLzWeL9Wfi+e2k5Qf64LU0Fv5TuqJZeTTGajJhtlZvnhdSFrK1eoYtOWxxv5XmycOF+dRKU1rRNt7ebBpcn7e9UGFGp+Xy2PeHSM0p0hmwsyv87rYLjFt9ksQiiuHvSyk889PxUnvqtlyT7/4RWaF9n8qLrftzNSWHm7mV43pKzsqj38KDLPwnypyWlN/5is8otGCNsszaU3Fo9YU3smBy5qki8hVc26KLnmZq9Gw5l2DRrrBoaigVsWjOxmdy6Zb5HCdv3CTqlg/09bRcsvIst1/9cs9Vxvx03C7Zij57Bb2k30/Hm9OS85XP3iJ+7z1XUohJ17DicKFLQpZltpxLsBgHOJc/AfNUXOFLseyQSQF8uz+qRPniMzQsPnDNQgk/veIYX++zLFcwb6nod2zMT8f5cs/VEusHmPDLKf670/b8C0eyYPcVq8mE93+1nzlbz5dYzijLTPztNIejC91fp2IzuJaWyzdFros5XLzIE6hSml7/ogu62vJI/XQkhuvpGnZdsI7OKppdbzBa9KoBs7LLK/JhnL3lPGfjM8ktsgLFjsgkZm8p+VwBNp5NKDVPRdlyLsEcrVaArfszYtkRRv94rNT6dl9MtlBIeqPMK2tOWczaz8h/X0uLgNtxPokPdlzk+6Kdq4Jx3yL5zBZNkcTZW8/zztZIc4cuMjHL4r44EqFoqho7LZWfj92w6oE/89NxRt4yQ33c6pMMX3bEIu2xJYd5yY5QxX2XLF8AW1ZUQc+o6AN7KckUWjpl3VmytaYXpMBNVZA/PkPD+tPxvLM1khVHCpVPwSTWY9fTSczMs+gl5+mNGIyy2W0GkKczmBXHlHVn+Xb/NSITs5Bl2aa8UamFSle2cU5LDkaTnqtDlmX+iEjkm31XMRhNdaXnlNw71Rtl/rqYbPURKnreAJN+PmExb6PgepyLz7SQZ9La0yRk5pVovW47X3IEU3qujgNRaby1qeSPdIEHpejkYXV+4q0BArdSoJyKemFsdYQ//esyI384atEDL7CWVEUeIFeV6bOj0RV+5GZuimBrRMlWc1XxztZIJthYwsYWRS1uW/cxJVvLtA3nLCLbEjPz+PdaOrOLdCKS8icmF3z4U3O0ZGpMz+OFpGxOx2ZwICqVmxrT+5aRq+Po9XQuJGZxMz9fYmYeOVoDMzdFcCzG9IwWzDOSZblwmR6jkVOxGTy94phd6y5WBrUi6mzPnj3Mnz8fo9HI8OHDGT9+vLNFKnUfj0PR6RyKTmdUtzDScrS4qZUl5r9xMxeNzkjT/AX0ij5AtgZU03N1jP3hCF0b+vLN8A5k5enND3EBiZl5zMsPh1VIEu9sPc+Wc5YfgzlbI4lOy+VKfi9py7lEJvUMZ9B3h8x5YtJzOR5zk84N6nAi319/4kYGAxb9a1HXviup3LXAcnOpPy8k8+cFy7RRP1pbZrbcKT2+2GeV9s0/UXxTxD0BsORfa5earfq6L7De+ComPZdJa88QXWS2+ZYz8Ww5E8+bvZub0wquR7eGvua0/VfTGHjLNTDKMhKF8zzA9JFIyMyzmAE/YukRvhjajuQs071Ny9Xx1Z6r3NnIl/X51meOzkBkQhY+7irzxD2jbHKtHYm+af7424o8kzCNr3zw50Vu5pqei3MJWQRfScVVpeBw/uS+2Jsa8740a/LdhjsikxjVLcwsN8DIH47y/chONA3wxE2tgFyTzIei0zh/y8dOqzeae/gAWXl6vFxVfPVX5VqaRTsH3T7dw7i7GpJapLOx93IKQV6uqFWF7+q5+Eyi03LNzzFAVEoOydlai3koTy85xNSe4eZ819NzORWbwYLdl2kdbNruOC4jjy/+vkK3hr5MWnvGnPbsyhOcLmLxH4+5aWVNrTkZZ77eBSw+GM3ig5Zu5G3nk6w6K08uL90Kq2wkuYZPvTYYDPTt25elS5cSHBzMsGHD+Oyzz2jWrFmxZXQ6Q7lXMy1tJdSdF5KYsTGCB5oH8NEjbayOO8P/LBAIBAUcnHxvuacGBAZ620yv8a6zU6dO0ahRI8LCwnBxcWHAgAHs3LnT2WJVgymRAoFAYE15g2FKosa7zhISEggJKVxrLDg4mFOnSva/KpUSvr4e5WpPqVSUWLZfx/qsP5vAzAGtbeZb92J3hnxzoFxtCwQCQUV5tmdT1MrKtUFqvKIpDwaD7DDXGcCXj7YDsJmvvoeaw1PvK1fbZcXZmzOVBSGrYxCyOobbWdbszLJPCC6gONdZjVc0wcHBxMcXhuYmJCQQHFzyIpdqtbLYC2YPFSlb1QhZHYOQ1TEIWR2Do2Wt8WM07du3JyoqiuvXr6PVatm8eTO9evVytlgCgUBQa6jxFo1KpWL27NmMGzcOg8HA0KFDad68eekFBQKBQFAp1PjwZoFAIBA4lxrvOhMIBAKBcxGKRiAQCAQORSgagUAgEDgUoWgEAoFA4FCEohEIBAKBQ6nx4c3lwWg0YijnVrFKpYRRm4esUIJU8orLzkaplMp9nlWNkNUxCFkdQ22VVV3MKvNC0digokvQqD8MweDTiNRR/1SyZJXL7bxMRnVGyOoYhKyOoTJlrbWrNzsLZYbz94kXCASC6oBQNAKBQCBwKELRCAQCgcChiDGaKsI14hcMfs3Qh9xhdUzKTUF2r+sEqQQCawwGPWlpSej11luAO5OEBInbZcWsmi6rSuWCn18gSqV9KkQoGkejy0GhScNn1xQAkl68BorCyAx19N/4bnyKmwN+wOBdH4NPI1C6WOQRCKqStLQk3Nw88PQMQZKqz16wSqUCg8HobDHsoibLKssy2dkZpKUlERBQz64yNV7RxMXFMX36dFJSUpAkiREjRjBmzJgqaTvw/xpYpbmf/I7czhPMv9XxRwHwOPwZ6sSTAOQ1fZiMfouqREaB4Fb0em21UzKC6oMkSXh6+pCVlW53mRo/RqNUKpkxYwZbtmzh559/ZuXKlVy6dMkhbUmaNNTz/UvM435qyS0pJpO1QMkAuF7eUtmiCQRlQigZQUmU9fmo8YomKCiItm3bAuDl5UV4eDgJCQkOactrz6xS8yizYi0TbhM/rkAgEJSXGu86K0pMTAwRERF07NixxHxKpYSvr0eZ61dfXGdXvqJ1KxS29+cuT/tlRalUVEk7lYGQ1THYkjUhQUKprH590EcfHcDSpT/i6+tHr173sGvXPyQlJbFgwUe8//7HdtWxefMGIiLO8frrMypVHls44hpGRV1l/vw5REae54UXXuapp0ZXuM69e//m6tUrjB49tkzlJMn+72StUTTZ2dlMnDiRmTNn4uXlVWLe8q4MEGhnvvT0HKS8DGSVK4GHFhabx9HU1tnLjuZ2l1WW5Wo7kG0wFMpmMBjx96/Le+/91255jUa5Us+vqDxFcVQwgJeXN5Mmvc6ePbsxGivnPO69tyd3331vmeuSZevvZHErA9QKRaPT6Zg4cSKDBg2iT58+zhYH/6VdUOYkYHS3VzUJBM7B9fwa3CJWV2qdmtZPkNdqWIl5tm3bwpo1q9Hp9LRp05apU21bIHFxsUyf/horVvzClSuX+eCDueh0emTZyLx5HxEW1rDYNuLiYvngg3e5eTMdX18/3nzzHUJCQti3bw8//PA9er0OHx9f3nnnPfz963LzZjpz5rxFUlIS7dq1LzYkeOnS79i/fy8ajYZ27ToyffpMoqOvMW/ebL77brm57TfemMzy5T9z4MA+vvpqAW5u7nTo0JHY2Bt89NHnNuv28/PHz8+f/fv3lXj9CtqYOvVV2rZtz+nTp2jdug0PPzyIJUu+JS0tjdmz36NNm3Zs3ryBc+fOMmXKG8yfPwdPT0/On48gJSWFl156lQceeKjUtkqj+tnHlYwsy7z11luEh4czdmzZTENHocwxjREpcpOcLIlAUP2IirrKzp07+OabJSxbthKFQsn27VtLLbd+/W8MHz6SZctWsnjxCoKCgkrMv2DBx/TvP5AfflhN7979+OILk/utQ4dOLFq0jKVLV/LQQ3346SeTcli69Ds6dOjEjz/+wn33PUBCQrzNeocOHcGSJT+yYsUvaLUa/vlnL40aNUan0xMbewOAnTu306tXb/Ly8vj44w/45JMvWbLkR9LS0spyqUrlxo0YnnjiaVauXMO1a1Hs2PEHX3/9PS+/PIkVK5baLJOcnMzXXy/mo48WsHDh/ypFjhpv0Rw9epT169fTokULBg8eDMCUKVPo2bOnkyUTCKo/ea2GlWp9VDZHjx4iMjKCceNM4w95eRr8/GyPgxSlbdsOLF++hMTEBHr27FWiNQNw9uwp89hOv34D+OabLwFISkrknXfeJCUlGZ1OR7169QE4ceI48+d/BMDdd/fA29vHZr3Hjh1h5coVaDS5ZGRk0LhxU3r0uI9evR5i584djBr1DLt27WDu3A+Ijo4iNLQ+oaGmNnr37suGDb/bcZXso169UJo2bQZAkybhdO16J5IkER7ejLi4OJtl7rvvfhQKBU2ahJOamlopctR4RdO1a1ciIyOdLYZAILATWZbp338gEya8YpG+deumEsv16dOPtm3bsX//PqZNm8S0aTOJirrKxo2mIJ1PPvnCrvYXLPiIJ554ih49enLs2BGWLLF/TlteXh6ffvpfli79kYCAIL7//lu02jwAHnywD7NmvUHPng8AEmFhDbl40bHfJrVabf5boVCYfysUCgwGfallCqZfVJQa7zoTCAS3F1263Mnu3TtJSzP1pjMybhIfb7v3XZQbN2IIDa3P8OFP0KNHTy5fvsjQoSNYtmwly5atJCDAcky0XbsO/PnnNgC2b99Khw6dAcjOziIgwOR2++OPzeb8nTp1ZseOPwA4cOAfMjMzrGTQak3L9tSp40tOTg67d+80H6tfvwEKhZIffljMgw/2BqBhw0bExt4gLs407WHnzh12XKHbjxpv0QgEgtuLJk3Cef75F5k8+RVk2YhSqWLKlDdKLbdr159s27YFlUqFv3/dUsN1J0+ezvvvz2XVqhXmYACAZ58dz6xZM/D29qZLl27mcZWxY59nzpy3ePrpEbRv34Hg4BBzXa+/PpEZM2YREBDIoEFDePrpEfj7+9O6dVuLNnv16s3XX3/Br79uAMDV1Y0pU95g6tRXcXNzp3XrNiXKnJKSzLhxo8nOzkahkPj111X8+OMveHqWHEnrbCT5dln5rQrR6QzlC2+2seRMeUl6OabS6iqO2z0Mt7pyu8saH3+NkJBGTpKoeGrq+mE5OTl4eHggyzKffvpfwsLCePzxpxwsYSHlva62npNaHd4sEAgE1ZWNG39n69bN6PU6mjdvyeDBQ50tUqUjFI1AIBA4kccff8rKgtm8eQO//mo5f6l9+45MnWrtQrx5M51Jk16ySv/ii6+pU8e3coUtJ0LRCAQCK2RZFgtrOpEBAx5hwIBH7Mpbp44vy5atdLBElpR1xEVEnQkEAgtUKheyszNum427BFVLwX40KpWL3WWERSMQCCzw8wskLS2pTPuNVAWSdPvsWlnTZS3YYdPu/GUVSlBFyDII14XACSiVKrt3TqxKbvdovupKVcgqXGcCgUAgcChC0VQjDJ7BzhZBIBAIKh2haKoRqU/tRVv/HmeLIRAIBJWKUDTVCbUHutD/OFsKgUAgqFSEoqm23B4RKwKBQFAaQtFUNyoaaSYbcYnaaYpaEwgEgmqAUDS3AVLeTZSpF3A7V/rsX7ezP1Fn8xhcI38rTNTl4rNxFMr0K3a153J1O4rsBKt0RXYCyuRzdsttNwZt5dany7GrTkmThs8fLyBpyjBfxKgHo6HkPBrr5eOdhfr6XlRxh50tRoVQJZ1BmXIejHokTZEdKHU5KIhre7kAACAASURBVNMu2VWHpElHmXL77Uuljv4bKScJl6vbcYn6EwBFdjyqhOPlrlPKq/rnUyia6ka+JeK36iHczq1GlXCCgMVt8V/VC++/ppvy6HJQZMWCNhuXK6b9MTDokLIT8fzXtGOgMusG6ut7QJZxub4H1+i/8P/pPhTpV/E48pXphc1ORpEdj/uJRXj/MQH3E9+BQUedLc9Sd1kXANTX9+ByeQvKlEjqLuuC/899kDRpKDJikDRpqOKPmj68stFUXpdrcTq+awbh+c97oNfgtXuG5YcCUKZEErgw3LzytTr2Xzz3zUGVdNqcR5EVC8mR5msj5aaa/jboUN/Yjyr+GBi0uJ9YBLpcAhe1wG/1Q3jvmGhSJLkphXVlFK6K7X7iO1wvb8bj8GdWt0HSpKOOPWj6Oy8DDFqTrN80xm/1Q/l50lDFHrIo53phHepPG+N6/lcC/68Bfj/1BFlGmXYZjyNfoUi/is+m0bhc3QFGA+rr1nu/K1POo0w6m9/2TTDorPLciuf++XjumWWV7rthJH5rHzWfuyruiPl6SHkZIMsoMqJxuWzad0UVd4TA/2tgupa3IhtxjfgFKScZKe+m+cNXFFX80WKtaUmbhfuxr/E49Kn5uinSr1ooAEXmDepseAr0udRd3BaPI1/i90s//Fc/hHLLZAK+b0/At81BlvH9fRj+K+83Kf9S8F07BP/VD1rKmnQGzwMfIuVl4HHoMzDkFVte0qSBbFrh2OXSJpSpF0wHCu6NbCyUQ5YhLarwOuQ/qxi0oLd8P0znHEvg/zWweDZVSadN57jxKXzXjaDOlmeps/kZAPxX3IPfmkGoY/6xqsvt1BLTu6SzbgfA9eIGAha3QZV4sjBRl4PXX2+YnjUHIbYJsIGztglIejkG/xV3o8yILlM5WaFCKuZlM3gEgUKJMqv0jaNuRRvWE5frf9uVN6vHXLz2vYPBpxFZ3d+kzrYJJebX+7dE27g3HsfKvye50cUHhbZyemeaFo+BQomm+WAUmjR8drxaYn5dUEfU+S9r9p1T8Tz0aYXa19dtTUbvL1ElnsJn11QA8po+jOvlLVZ5c9uNRla6ok48iTrOUtGlPL0Pl5h9uJ39CaNPQ1zzFYisckfK/8gZvOqT8fBi/H7pb1HW6FoHRZGPTdqwTeiDOqJMPY/X/vm4RO+2KXv6I6uQ3XzxOPIFrvkdH02r4WQ+uAD0GvxX9UIf2N4sSwG6kC6o448C+dtiyEYCvzZtv5zT8Xk8Tn5n17WTVR6kPfY7/r/0BSD5uTN475yMa5TtTcTSB/2IIjvBfJ0LyO76Grp6XZFdfdH7Ncd793TcLq63yJPXuA+uUdsByHzgI7z/mk72f6aZO3j2kDzuHAGLTfvOJI89TsDSzuZjRldfDP4tUMcdIqfjeDxOWir8tGGb8Fsz0Pw7t+3TGHzD8TzwAdqwe3G9tguAlFEHkfQ5uETtRFe/O+4nv0Mf3BmvfXPMsmsb3EvdFd0t6q/o9iTFbRMgFI0NnKloKnNPG4FAICgLjlI0wnVWTbg54AdniyAQCAQOQSgaJ6BpPsQqzeBd3wmSCAQCgeOpFYpmz5499O3bl969e7NokY1Bzioms4/1uISs9nSCJAKBQOB4aryiMRgMvPvuuyxevJjNmzezadMmLl2yLySyrOiCOpaaJ/nZkzbTjT5hlS2OQCAQlInA/2tgVxRfWanx2wScOnWKRo0aERZm+pAPGDCAnTt30qxZs0pvK33oenxVGaRrPVDk3USZch7XSxtxj1hN0kvRIBXq9Zt9F5YamSUQCARVjfdf08l80DrkvyLUeEWTkJBASEiI+XdwcDCnTp0qsYxSKfHJJ/PZs+dv/P39WbduQ4n5//vfDzl06F8ANBoNqampHDjwL9RvAh36o+NrrHbu7joCXYcBSGfXIDe5H19fDwD0I1aj+uWJMp+nQCAQVAbKXjPM36PKosYrmvJgMMg89FB/Bg0ayrx5s0sNdX7hhYm88ILp782b13Ly5Gk7w6MlaDLc9GdB/sAeUMEQQ3sRmzM5BiGrYxCyOgabspZT9uLCm2u8ogkODiY+Pt78OyEhgeDgkvd9UauV9O7dk5iYGFQqpfniRUdHM3fuXNLS0nBzc+O9996jadOmFmX/+GMrr776arEXvLpxu8gJQlZHIWR1DELWQmp8MED79u2Jiori+vXraLVaNm/eTK9evcpV16xZs5g1axZr167ljTfeYO7cuRbHb9y4QUxMDHfddVdliC4QCAQ1ghpv0ahUKmbPns24ceMwGAwMHTqU5s2bl7me7Oxsjh8/zqRJk8xpWq3lwo2bN2+mb9++KJXKCsstEAgENYUar2gAevbsSc+ePStUhyzL+Pj4sH79+mLzbNmyhdmzZ1eoHYFAIKhp1HjXWWXh5eVFgwYN2Lp1K2BSPOfPnzcfv3z5MhkZGXTu3Lm4KgQCgaBWIhbVLIYpU6Zw6NAh0tLSqFu3Lq+++ip33XUXc+bMISkpCb1ez8MPP8wrr7wCwFdffUVeXh6vv/66kyUXCASC6oVQNAKBQCBwKMJ1JhAIBAKHIhSNQCAQCBxKrYg6KytGoxGDoXweRaVSKnfZqkbI6hiqo6wGWY9Ssn7dq6OsxVEbZJWRMcpGlFLVTZGozOuqVtuWWzlnzpw5ldJCDUKvN5KenoNGoyvzP1dXdbnLVuTfzmu7uJ5+A39FEBqNjqi0aJacXUIbz47k5enJyc2j98b7cTF4sPD0QmYdfIvx7SaYZT2bGIGb0ZNRfz7Jruhd9Kjbq1xyXE+7QVZuDvtjDjDtnyl0qdOd3hvvx6iVaO7RBo1Gx4z90/nixOcMrPcYGo2OnNw8pv4zGXejN+N2PcOGSxvoGzzI6rqO2TqG7FwNDV2bWrUbkx7LzewsRmx7jN8vraVf8CNoNDqyc3J5asfj+OBPoKoeGo2OXdf+Yvr+qfQOfBhtnoHEjBQeWN+Dxq7NGbHtMb49vRCNRscHR+bT2K0Zg7cM4E7fHry650VycrU0dmte7PkP2TKQ08mn6epzDxqNjoikSAZs7kMH764ciT2CUSuxN2YvP0X8SFTqNcb9NZYhoY/zwZH5BClDiUg6T0x6LK5GT66kRpGnMfDA+h40c2/NsD+GkJiRjJ8ikIM3/iVAGcJf0bsJUoWa2990eROrIldxR53/mNOWnl3ChN3jubfug/Td+CAGLeZ7cSHzPP3X9aVXQD/OJp3DqJWYe2g2Mw/MoIlbC4Zve5SWHu3YfGUzqVk3ScxIZt7hd+nu1xNtngGNRsezO8fw+YnP6BM0kLUXf6eRazPy8vQW1yU9O5OfI1fjqwjkwQ334Sn7mO/jnut7ORR7mDDXJlbXc9PlTYzdNZp+wY8w+Z9JNFQ3Y1XkKk4nnKGpeyuL519lcOXAjX9R6NU8tKEn355eSDuvzgzZOpAHA/tzJvEcslZBrw338e3phXjjx+x/Z9Gzbm9e+ftFwt1b4mb0RKPRMXbnKC6mXKK99x1WMt29thtXU6+Rl6dn0elvudOvh13fgft+705CZhIdvLui0ehIzkzl3UNzaePVkfvX9+BC8iXePzKP/538imBVA0b9OZLBoSPQa2U0Gh2Lz3zHhN3P83jY6GKfv9ib8aw6v4pm7q2t7oGtf3ev7cbCUwtLrLMs/zw9XW1+U0UwgA3Ku5UzVHyNI1mWMcgGVAoV0VlRPLPnSTb3+RNXpRsKSYFBNoAscyPnBjqjlv+L+IIQ93r8EVO4H/vszu/x7vFZ5ZahvIR61Cc250aVtyuA0c2eZfmlJVXebnu/jpxOs9764r0uHxLm2ZBn9jxZbFkFCkI96hOTcx2ATnXvoHtQD76J+NJh8tY2XBQuaI3a0jMCG3vvwLOC+2IVt5SNUDQ2cKaimbDvWS5knC89o0AgEFQiXQK68fGdX1Sojlq7qGZcXBzTp08nJSUFSZIYMWIEY8aMcbZYxSKUjEAgcAZHkw87rO4ar2iUSiUzZsygbdu2ZGVlMXToUO655x6HbHwmEAgEAmtqfHhzUFAQbdu2BUzLyISHh5OQkOBkqQQCgaD2UOMtmqLExMQQERFBx44dS8ynVErl3mFOqVRU+u50AoFA4Gga+zR22Ler1iia7OxsJk6cyMyZM/Hy8ioxr8EgOy0YQCAQCJyBwWCs8LeruGCAGu86A9DpdEycOJFBgwbRp08fZ4sjEAgE1Q5HBiDXeEUjyzJvvfUW4eHhjB071tniCAQCQbXEiNFhddd4RXP06FHWr1/PwYMHGTx4MIMHD+bvv/92tlgCgUBQrZBxnEVT48dounbtSmRkpLPFEAgEgmqNcJ0JBAKBwKEYZeE6EwgEAoEDEWM0AoFAIHAownVWi1DZ2DNEIBAIHI270t1hdQtFU824K+geZ4sgEAgElYroPtuJwaAnLS0Jvb7kvR0SEqQKmaBPBjzBY35Dyl1eUH2QkYnRXGfx9cVkGjKdLY5AUCKOHKMRisZO0tKScHPzwNMzBEmSis2nVCowGMp/wwzZSiS9+CjVCGRoofVmHONYELXA2dIIBE5DuM7sRK/X4unpU6KSqQwqMmlKIW5n9UICXBQ0cAtztiQCQak4csKm+DKVAUcrGRNiw9MahQQSVfHcCAQVxIGfHqFoqhnVdWNtlaR2tggCgcCBCIumlhLuXT12AVWgoL5nA2eLIRAIHIhYGaAWUdZexfSxk8m8aQoemDD0WRp5NkbKVPD1+186Qjwzm3/eUOyxZV8sJjb6Bu7Ksm2i9P1n33Jk3yG7858/FcGlcxfK1IZAIKh6hKKpZrgoXCpU3k3lTosGLXlp5sRy19HEq2mpeTb/UryieWbSOEIb1qeOi2+5ZbCHpMhELkVcdGgbAkFtQazeXM3YHrOVrTGbbB6TpPKNs/RvMJA+DfrjonQBXUGqjKvCjTyjBoADu/5h58bt6HV6wls25emXnrFZV1xcLLNen8F7X3/IjWsxLP38O/Q6PbIs89LMibRr2oEkTaI5//qf1pKSlEJyfCIpiSk8MeIpOvfrYm5z96ZdyHojDZqH8fRLz7B2+a9otVrmvPIWoY3qM37aSxbtfzRjPiOeG0lIh1BeGjqOhx7py8nDx3FxceGVWZOp41en2Otw7sRZtvy6CU1OLo8//yQd7+zMh9Pn8dzL4wlsFATAB9Pe4+kXR7Nhw+8YJSMH/9rPkxNGUy+sHsv/t5TUpBQAnhj/NM3btCDydASrvv3R1IAk8cZ/38Ldw3oWdHpqOgs//B+anFwMRgOjXhpLi3YtOXPsNOt/WotepyMwJIhnJ4/Hzd2NqxeusOrbFeTl5aFWq5k6f4bNegWC2wGhaGoxDb0acTEjktjoG5w7cIa3P5kLSljxf8s4uHt/qeV3b9nFQ4/04a4H7kGv02M0GvF3rYuPug6XMwutgfjrsUz7cCaaHA2zJsyg/UMdSYxN4Mz+Uyz+djl69Mz76B0O7t7PsLGPs2vTDub8b36p7edp8ghv1ZTHxgzn1yWr2LPtLwY9UfyE1JSEJN5eMIekuEQ+fvN92ixuy719evL39l0Me/4J4m/EodPqCAtvxODBj2FQG+n/2AByDNks+uhr+gzpR/O2LUlJTGbBrI+Z9+1/2bZ2C0+9NIbmbVqgydWgdrEd2PDv7v20u6M9A58YjNFgJC8vj8ybmWxavZ7X57+Bq5sbW37dxPbft/Lw8EEs/PB/TJjxCk1ahJObk4uLa8Ws0bIS5BZMoiahStsU1FwcudaZUDTloE+D/vRp0N/msYpO2CyKhIRCMnk3I06eIzLyPO9NfgeDUY9Wq8XH16fUOpq2bsbmnzeQmpxGl7u7Elw/BACVwvLWd+jWCU9XT9RqNX6+fmSkZxBx8hwXL1xg3LjRyLKRLE0Wvr6++LvUtfscVCoVHe/sDECjZk04d/xMifm73vsfFAoFwfVDCAgJIu56HF173Mnc1W8zZOww9m3fwz0P3WvO76XyIsyrIZE3Izh34gyx0TfMx3Jzc9HkamjWugU/f/cTdz1wN3fc3Q1/d3+bbTduEc6yz7/DYDDQ+a4uNGzaiJOHjhN3/QYfvP4eAHq9nqatmhF/Iw5ff1+atAjHR10HyjYcVSn8J7A7G6+vq/qGBTUSYdHUQkLcQ1EpCnveChT07z+QceMncDnzIh5KT3xdfPnnz71FSlnP17jngfsIb9mUU4dP8PmcTxj9yljOJJ1m48Z1GDHw0uxJAHi5eZvLK5QKXGQ1yDL9+w9kwoRX0Bq0XM26jLfah0D3oGLlVitcUEhKszRKldI8/6ieZ31OG04WW9ZV4Wo1V0mSwNXNlfZ3dOTEwWMc3vsvs794z2Z5WZZ567N3ULtYWhbPjH6eDnd24tThk3zw+rtMeW869cJCrcq3bNeK6f99m1OHT7BkwSL6PNofDy8P2nRqxwtvvGyRNybquvnvALdAMnQ3iz0vh1El87oql10P76fXlrudLYbABmL15tpE/r32Vnubk5r7tKTP3f3YvXsnmTczaOARhpfei+zUbHOeOmpfmxNKs5IyCQwJ4qFH+vKfu7uTHZvD0KEjWLZsJT+t+JXWDdqY86qLKLYQj1D63PMwu3fvJC0tFRelCz76OpD/PVWqlOj1eup7WIY9F5VAISmRkKjnHkoTr3CUkuXjFurRwGI1AzeVO6f2n8BoNJIYl0ByfCIhDeoBMGTwUFZ+u4ImLcLx9PYEwMPDk9zcHACaejejbef27Ny4g8Ze4dT3aED05WsApCek0qBxGA8PH0iTFuHExcTavPTJicnU8a1Dz34PcG/f+7l2OYqmrZpxKeIiCbEmF1WeRkP8jThC6tcjPTWdqxeuICGRm5OLwWCwWa/g9uX5li86W4QqQxZrndUebPUpFJKC8PBmPP/8i0ye/AqybESpVDFlyhvmPMHuITbnn+//ex+7/9yJUqkkKCCEF599tdi267mHkq3PNrvsmoU3t9lmaL369Oz7IHNefou2rdozcvLTfP7Ox4yZOI7gwGCLOiVJwsel+MF/f9e6JOclmX83qBfGvMlz0OTkMuqVsWbrpEv7rrh7uHPPQ/eZ895zz73MmvUGe/f+zeTJ03hz6mwWLPiI8c+OwWAw0Kh1E0a/MpZ1v/3GsWNH0Mk6QhvWp33XjjZliTwVwR9rN6NUqnBzd+W5KS/gXceHZyc/z6KP/g+9Tg/Ao6OGEVK/HhNmvMLKhctZpf8RWWVk6vwZKN2VxZ5reXn3jg+YfexNq/SK2jPB7iEk5MZXsBb7qawlkhp4NiQmO7pS6iqJz+/6mg7+nTiafJhjKUcc3p6zMTrQopFkR9pLtyk6nYH09ByLtPj4a4SENCq1bEXHaFI0KSTnJdLcp6V5fKYkIm9GANCyTmuLdI0+F4A0bZrZrdPAoyGeak8LWVNzU4nPjaOO2pcQj3p2y3nx5gWMGGjm3YJLmRdwUbiiNebhonBFrVCTrc+igUcYnmovi3JpeanmAexQjwZ4q72tziFbl01MTuGHJMyzEZqMXJ6fMIZ53/4XhUJh85xLuzYFv8M8G3E9+5pFXheFC1pjyStzF0cLn1ZcyDhf7PHclAymnJ9sV12/P7SFl/c/T2xO4VjT+t5/MHhHP6u8gxs+hozMhujfS6zzy7sWMvHgBKv0EPd6xOfG2SVXZbC5z5+4qzwq7Dq7M7A7h5IOVJJUtung34nP7/oaAJ1RR98/ejq0veqAt9qb9b23VaiOwEBvm+nCdVbtqBy976Zyx03lyFDbQjlb1mlNqEd9m8duxc/VHy9V/sNYTB/HU+1JiHvhGMrfO3YxbtxoHh093KxkKoKb0s0qTWnHhnONvcJp7NWE5j4taejZ2OJYwdyjiq5rVsfFlx/uW2WRVlKdko3OSNeAOy1+t/PvYLOsLbdQA8+G9ohpQbh36fOuANxVlRMxUc/DenytIvQM6WWVVvSaF3Upl5XX2k5jQ+9tfNTt83LXURMQrrPbnIaejckqYVuBQLcghwxUh7jXIykvyWx1FewM6qP2IceQU1JR1q78lf179qJWqFFISvIMGrr1+A8tXyi0UOq41EFjyCVTl0n//gMZOPARIlLPVUpkzOXLl5gz9y2LNBcXV2Z+NrvYMiHuobgqXc2/3VXumJxXJnmKfoxCPesTm32D8lIQTFGUZ1uMZ8mFRZaJxQQD2HuNHgh9iPdO3HLO5XBwTGw7lQ7+nfjvyXlsu7HFZp5WddrYTLcHH3Udi2dYUcmLlL7cZhJ/x++ySCutw3BnYHe6BHTjm4iSV+CQkfFSe9PUxznLSZXFanWk60womjIgy3IVreBsP+4q9/yPnm1UChUeKk9y9NlU5vKs3i4+eLsUhlcrFUqa+7REQiInp2RF89iTw+kzoh+h7vXxdvEhU5uBqw0rI9g9hGD3EPNvL7U3mbqMCsvetGkzqzlA7koPcvMVZKBbkMWEVrAMziigUM0UIgM+Lj6FikYGD5UHL7Z6lW/Of1WsTK+3f5PWvm1N9d7yjCklFQ29GtsuaOPjYMsb/kjDR0t1sZnELfszUmAFvdHxbZ5sOpoxe56wOB7kFszX9yy2q641D27k2T1PWyiW3x7aRO+t95ZQqmJISAwMG8ym6+uLJpbIh90+BShV0RQ8IbYUVx0XX25q063S53Sez5zjpo7Q2BbPs/TCd6W0UTxdA+60PK8SMMiOC2YRrjM7UalcyM7OcGgIoKMo6Z0pcBmpKuAeKEAhKcqliL1dfEwrIpRCiHs980KjPuriAwwKaOjZiFD3+lbpCklBqEcDGnk1sVnO39U0T0gtqc3t2PpQNPRqTF3XAPM5e6t9aOBRZO8ZGdAa8fcIQKkouU/3cNggmniHW6V/1f1b3FXuNtsvrtcd5mU9ltjBvxMAXQK6lSiHq9KV19pO44F6D5nT2vt1ZNfDticHz+k8H3/XwnlJRTsGBXQvw/bk/q51+fQ/X1oEDihtWHiVjUu+teqordRtubFfbj3JZt776j1g/vvWqM6y8mrbKXbnDXIrftpCRakVFs2ePXuYP38+RqOR4cOHM378+DLX4ecXSFpaEllZ1j2QokhSxbZyztJlkavLIiEnutKsp8y8NPIMeSRnxZJZxP0jSRJGo4yrUYkuJ5t4KbuEWuzHYMgjNy+D9JwkMqUUq+OyUY9BqyEzJ5VsKc2uOoteVx/ZA9ARn3Gt5EL5ZGNqIzfHZA3F5xaWK0gzKDVoDVrzcTeDCpVCCejwwo2E3OKjnOIx1acAMkkmS0pBn5uL1qglRnOdh1s+yv3eD7I26heLQX57aOvX3ur32bTTgG2L6pM7v6SdXwfGNn+eIX8WBhAUKCXz+NgtFLin3uz4Dk19mvFIo0f5K+5Pm3m/6v4trx54AbD8KBbHrVbSz73Ws+LikmJ72k19mvPnw/uqZL6Nj7qOZVSkXLwFYgsJqUQrsIO/abKyrXFBe6zHoh0DT5Un2fqyvaNlGV/qHNC1THWXhRqvaAwGA++++y5Lly4lODiYYcOG0atXL5o1K5vPVKlUERBQelSWr6+HVcRaWVhxaSlLL3zH9n57rGbvl5fPD3/JoaQDvN/1E+4KKnx5KyprVVIZsj65ZSSARe985p6ZRGVdpXf9fgwIe4RAtyBCKjjY7OvrQXB6DtFZ10hMT0WpVOGv9OfH+381fzx/fmAdqXkp5BhyCHG3P9rP95aFSrsF3sX66LV08r+DV9tOpkn+wLyL0oWF9ywhzNNk3RQEDcjIdKnbjaMphwFY2GsRsWkJfHHW5Aqq62q96sOtHZ5blV9xjG72LMsvLbH6nAa6BTKp3euMajaWx/8aYtNVWVWs670VKFQsxhJcXbZY33sb2fosRv71GADf3P09L+5/znzclpValNfaTiM6O4q1Ub/aPO6hMkWJNvJqzPyuH/P07uF2yVUeZAduE1DjFc2pU6do1KgRYWEml8aAAQPYuXNnmRWNPVzOuMSfl7awN2YvdwZ2xzM/yiZRk0hE2lnuCbkPVb4bIEmTREz2ddr5dUCdr1ASchP4M9YUXliZI0G9Q/tyKOkAjb1tu4pqM9/1+IEfLi3hifCnzC91ZdHQqxENbbixAALdg0pcYaGBRxgxOYWrD9h6HiRJ4u7gHvzR9y+z66coLeq0slFe5v1un5BnyAPgzpA7SXfL4UjSIbbEbLQ5VlbAtPYz7R5YVivU+LnaXuoHTO6wQPcgVj2wFk+VJ3vid/PLlZV21V0ZeKm8mdJ+uvl30etj+m3fG+il9sKjSDRdS9+SQ+5v5ZFGj5KiSS5W0agV6mLdlmAa/8vR29cBGxQ2pMQlizZE/04jryY80nBIqa7eslLjFU1CQgIhIYV+4+DgYE6dOlViGaVSwte37KGYEfEn+fnCagDWXVtjjsTSy6aJfj9f+ckq7Vz6Gau0UM9Q/Py87JpHYw9DfYcwtK31QpZKpaJc5+kMKkPWF9u/xLKIpVb1TLnztQrVeyslybpmwG+cSTlT6rn8MvBX9LIeL7Up34Ne97M17m6mdXmdfzaZlh16tcsr1HH1wJ6F1u52uROOw8g2Iwn0L3QVFcj6To/ZTMqbSKB7oUWzbch23vjnDebdPR9fTw9G+o4wH7srpDuA1XnIsjudAjszuvVomvk254uznzC01aPFnq+vr6nH/2Tg4zzZ/nGLY23929LAO8yq7GOthvB3wi5SNamlnndxrH54NaFeheN3Q1oNZk3Uz0zo9AKHdhxkdLtRFu32bdSPToGduCOoC0k5SVYyjW3zLHpZb5E+ssXIEu9zn2YPUsfVAw9D4ffpubbj8PX14Nm2z/HbxTVW5Z9rO47vzy6mR2gP9sXuY85dc5m+bxoADbzCiMkydU46BXbCz9UfX18PHmjwAGl56bzTYzYzDG/w5NYnuJZp2+286spyhrUZgrdL5X4XavyEzT/++IO9e/cyf74pymjdunWcOnWK2bOLD2W1NWHTXmqbO6qqELI6BiGrY6itshY3YbPGWzTBwcHExxcuA4Vk1gAAIABJREFUs5GQkEBwcHAJJUCtVhZ7weyhImWrGiGrYxCyOgYhq2NwtKw1Pry5ffv2REVFcf36dbRaLZs3b6ZXL+uZwAKBQCBwDDXeolGpVMyePZtx48ZhMBgYOnQozZs3d7ZYAoFAUGuo8WM0AoFAIHAuNd51JhAIBALnIhSNQCAQCByKUDQCgUAgcCi1QtG8+eabdO/enYEDBzpbFIFAIKh11ApF89hjj7F4sX3LlAsEAoGgcqnx4c0A3bp1IyYmxu78RqMRg6E8wXgyCoMBo7HksqXuayOBbDAgubiCQQ9Klen/kgRKJeh0oFCCQgJJAUYDICHrtEgKBajUprw6rakylQr0elApwWAwlZEkFAoJo8FYuNCT0QiyjGwwIrmowSib0hT5GYyyqQ5JAQUL8Mn5/yk4hgR6nUlmZJMcRtlUh5xfH+TXkX+dFPnnoFCAwQhKRb6cEgXCKSQZo4xJNqXCnI4sm2RGNp27xXWUCtsruO5KJbLegKRUIBuN5lWhJUlR5L7I+TfBJL8sG02r9Mpy/jkpkCSQjTJI+StLG2UkhUlehdK0KjaybF5xWpIUhfdVqSxyHgXnkC9vwb0oEEFvQFKpCssqlNb3RKEovAcF5SXJJHv+uWLMv0b56QXXXqGQMMpFz9lYWF42LbRoflYVCpPcYLpH5msrIRv0SMr8Z6PI8yTnPx+SwnS/zdepoM7847LRiKRQmtpTmJ5P0/kWPicKpRKDToekVJmvQcE1KShnLpNftywX3KP862+U8++50XTPjcZ8uUHW6U3XWiGZnkMofGdkkPV6JLXK/NwgKUx5jTKyXm9qR6lCNuhRurhgLLg/+c+U+V4U3G+lwlSHQV8od8H1kyTQG8z3VjYYwaBHUqtN34CC97jgHTM/5EWeI7ng2aDwXhX9NOU/BwqFhNFoNL2zFVwxXq22vaVDrVA0ZcVgkMu1JEP2oq/JXbGs8gUqAUVIPYzxNhY6LHgYBQKBwE4C9h6qUPlauwRNeSjvoppezz6DplXzEi0a7ZXLpC9dCgoFQXPftTqeOOvtMrVpU8mAUDICgaDMOGqRXaFobFBeiwaVB76PDC6xrFz3FCxdiqp1G4z397HOoHxHKAmBQOAUKrq4ZnEWTa0IBqhWFIxLVNLumQKBQFDdqRUWzZQpUzh06BBpaWncd999vPrqqwwf7rid6kpGrPgjENQUZB8fdC+MR24QVhigcRsTH2/f9ugqlQt+foEolfapkFqhaD777DNni2CDYh5KYekIBLcNuhfG49miLe4oKnVXXGehDrG9I2xRZFkmOzuDtLQku7a3B+E6q3pKc50JRSMQ3DbIDcJqjJKxF0mS8PT0Qa/X2l1GKJqqxqxoijkuFI1AcPugkGqVkimgxHmANhCKpqoRQzQCgaAS6f/yOLvzLlu/lp+3bS5T/b1731tWkawQisZZFNsjqI39I4FAUJOpFcEA1QnZbNIUN0ZTZaIIBIIayv4Tx1ixeT16vQEfLy/eGvci/nXqAHD5+nVefn8uN7MyeaLfAAbe9wAAq//YzN+ffIBOp+W++x7guedeqDR5hKKpakQwgEBQI9Hu34f2n72VWqfLPfficnePMpdr37wlX8+cgyRJbN6zm9V/bOalx58E4HJMNF/PnIMmL4/n332buzp04uqNGGIS4/nuux+QZZkZM6Zw4sQxOnW6o1LOQygagUAgqGEkpaXy7rf/I+VmOnq9npCAQPOxezp1wdXFBVcXFzq1as35q5c5ffECR86eYezYpwDIzc0hJiZaKJrbFvNqvsJyEQhqEi539yiX9eEIvly5nOF9+nNPpzs4cT6CZRvWmo9Zf3okZBmefHgQQ1942SHyiGCAqqaU8GZJErdEIBBUjOzcXAJ8/QDYtt/SnffPiWNodVpuZmVyMvI8rZqE061de7bu+5ucHNNaZ0lJiaSlpVaaPMKicRpijEYgEFScPK2W4dMmmn8P792fMY88ytyFX+Hl4ckdrdsQl5xkPh7eIIzJH3/AzaxMRg0cTICvHwG+flyLi2XChLEAuLt7MHv2e/j5+VeKjELRCAQCwW3Mru+W20zv0bmLVdozgx8rtp5hD/Vl5CuvWaXv2FHxAAfhp6lqxOrNAoGgliEUTVVTmqKpASvACgQCQVGEoqlqSrVohKIRCAQ1C6FoBAKBoLwY5Vq5fKEsl+2shaIRCASCciLFXCcXY61SNgX70ahULnaXEVFnVY1YgkYgqDGov11E9gvjyaohO2wqy7jDpr0IRVPduP2fVYGg1iBlZODy8SfOFqPSCNh7yCH1CtdZVSPCmwUCQS1DKJqqRrjOBAJBLUMomqpGLmU/GuE7EwgENQyhaKobwqIRCAQ1DKFoqhhzGKTQJwKBoJYgFE1VI8ZoBAJBLUMoGidR7MZnQs8IBIIahlA0VU0Zl24QCASC2x2haKoasaimQCCoZQhFU+WUbNEU61ITCASC2xShaJyFCAYQCAS1BKFoqhoxRCMQCGoZtULR7Nmzh759+9K7d28WLVrkXGH+v73zDmvy7P74J2EvGaKgiAPFvVB/QvVV66qr1oGz7tHia6171Fa0iqtaB2pddVVRsbbuUXFbiiKi4gLEBaiAQtgrkNy/P9I8BUfr2zYB23yuq1clyZN8cz8n9zj3uc8xhDcbMGDgX8Y/fqBRqVTMmzePTZs2cfToUY4cOcK9e/dKTtAfDjT6k2LAgAED+uAfP9DcuHGDKlWq4OrqiqmpKd26deP06dMlLQtDrjMDBgyUNvLPnESo1X/7+/7j69EkJSXh7Ows/e3k5MSNGzd+9xojIxl2dpZ/6vOMjOS/e21Bs8ZkAg49u2P9qteNGE7yV1/9qc82YMCAgb9C1lcLqNr+XYxsrf/W9/3HDzR/BpVKkJaW86eutbOz/P1rbcri+PNlCuHVr3vfm7IduoEQiLw8MJKDWiCzMNf8LUBmZgYymeZvQGZhgVAVIre0Qp2VBQVKkMmRWZiDSo1QKpGZmSHy8jSvVeaDWmBrZ0l6cgaYmUFhIRgbITMyBlNTRG4OMmMThEql0SWXIUOGKFBqAhqKLryMjEGtApUaEGBsDGq15v/KAjA10fz/1/cp5jaUyaCgAExMNdfK5KAq1LwnQF4eWFpga2NORk6BpkZ7TjaYmoEyH+RGmveQFXk/leazRX4eMmMTjbtSrQILC40OY2PN95Wh+b+5OahUiNxczfc3M9O0oakZIi8XmYUFqNXIjIwRQq35/trvq1Zpri/QvJ9QKrF1sCEjIxeMjDT/qdVQqAKZTHMfCwo11xkba9oUgcjJQSaX//p6AWammvtuZIRQqzTvb2oC+UowNUFkZSEzN0dmZq6xhZwcja3I5Jp2VCrByBiZubnmnv16P2TGxojCQk075uVia2dFRm7hr/dEpmkzMzNNWyqVYGqq+Z5Gvzo/tPq0LuDCAoRKhczcQmMz5hYg1JrXKQuQWVqCEKizMpGZmICJ9n6of9UKIjsbmZWV5l6YGGve30iOTCbX2Oqv393WzoqMLCUiL1ejV61GZm0tBdiIvDwwMdZcpypEZmqGUBVqnszPRxQWaj5Ha9Nq9a/tUwjKfGRW1prP+/VeYST/rQ2EQGZmrvlsExNNmxQWSu0iMzUDtRqhViMzMqKMtSnpKZm/2Z7xr/dC+ztAFPkcI02bFxYiCgt+vUZofrOFBZrPMTNDZmEJeXmae21sjFDmI5MbIdC0p0xupNGj0rS/KCxAZmT068cJzX0y0v5eZJIdlCljTmae5rcrM7cgU5jAn+z/ypWzeeXj//iBxsnJicTEROnvpKQknJycfvcaExOj1zbYm/BXrtXwF67/Hz/bvFzZ1zxj/+c16Ahzh5JW8OZYOP/xa0oLFnr5lDcv+/t7mL/OXEsh5g52OnhXWx28J/w5/82b84/fo2nQoAGPHj0iPj4epVLJ0aNHadeuXUnLMmDAgIF/Df/4FY2xsTGzZ89m9OjRqFQqvL29cXd3L2lZBgwYMPCvQSaEIcujAQMGDBjQHf9415kBAwYMGChZDAONAQMGDBjQKYaBxoABAwYM6BTDQGPAgAEDBnSKYaD5H3ny5Ak5OX/uMJOBN+NtiE9RKBQlLeEfy9tw/wEyMzOBt0dvSWIYaN6QnJwcJk2axEcffcTEiRM5e/ZsSUv6Q27fvs3FixdLWsYbkZCQwKFDh8jNzS1pKb9LQkICM2bMYM6cOSiVypKW84dERUUREhKCSnsavpSSkJDArl27UCgUqHWQa+vvJD4+npkzZ7Jt2zZUKlWpL1YYHx9f4hOjf/w5mr+L4OBgZDIZx44d46effiIwMBBLS0uaN29eKg0tPz+f0aNH07BhQypWrEiVKlUQQpRKrQEBAWzZsoU6depw5coVPDw86NWrV0nLKoZarWbNmjVcuHABGxsbXF1dMTIyQq1WI5eXvvmaQqFg+fLl3L59GxcXFy5evMiAAQNwcXEpaWkvsX37dvbs2UOTJk2Ij4/H1taWMWPGlMq2vX//PjNmzKB9+/YMGTIEI22Kl1JISkoKX3/9NVFRUVhbW9O/f3/ef//9EtFSuu5iKSMlJUX6txCCvF9zi3Xu3JnGjRsTHBxMbGxsScl7LWq1mrS0NN555x3q16/P4cOHgdJbJjohIYFFixbxzTff0LFjRwIDA4mKiippWcXYvn078fHxBAQEsGHDBk6fPk1GRkap6wi1bNy4kTJlyrB//35mz55NdHR0SUt6JUqlkkePHrFixQr8/Pz48MMPCQgI4Pbt28jl8lLnlnr06BHu7u7897//xdrautgKvDRpzcrKYuHChdja2rJ//36GDRtGQEBAiXkMSuevpIS5f/8+Q4cOZfr06axZs4aMjAycnZ2pUqUKd+/eBaBHjx4kJSXx6NGjkhX7K0lJSdK/5XI5pqam5OXl4ebmRlJSErdv3y5BdcWJj4+XBnGlUklERATGxprFdatWrWjXrh0rV64sSYkAxMTESJm+hw0bxtKlSzE3N8fU1BRPT0+Cg4NLWGFxzp8/L7lKJ02axPTp0wH45ZdfyMjI4N69e2RlZZWkREDjzgsLCwM0nfOFCxck156dnR3ly5dn8eLFQMlPjh4+fFjsN15YWIi7uztRUVEMHjwYPz8/vvzyS6DktQJERESQlZWFpaUlw4YN47PPPgOgQ4cOAFy/fr1EdBl9qW0lAxILFy7Ew8ODSZMmceLECU6fPk2vXr04e/YsZmZmVK5cGQcHB6Kjo7l69SodOnQoMbdUXFwcY8aM4cyZM1y6dIlGjRphZWXF48ePSUxMZMSIETx9+pSTJ09y//59ateujampqd51gmaF6Ofnx44dOzhz5gxyuZx69eqRmJjIoUOH6NGjBwA1a9bk8OHDODk54erqqnedycnJLFq0iICAAG7dusXz58+pU6cOJiYm0so2LCwMV1dX3N3dUavVJdrJ3LlzBz8/P0JDQ+nYsSOOjo7SwB0cHMy3335Lr169CA4O5tatW9SqVQtLS12nUXyZwsJCvvjiC3bs2MGdO3d49OgR9evXx8rKitWrV+Ps7ExgYCCenp5ERERQsWJFqlatqnedoHE9zps3j4CAAH7++Weys7Np1KgRDx484NixY6SlpdG2bVv69+/Phg0bUKlUNGzYsERt4dy5cwwfPpw6depQo0YNypcvj0wmQ6VSkZ2dzdGjRxkyZEiJ3HvDiqYIQgjy8/Oxs7OjUaNG2Nvbs3DhQiIjI4mKiqJly5bcuHGDkJAQALp06UJubi4FBQUlZlwBAQH85z//4bvvvsPGxob58+ejUqmws7OjsLCQlJQUQkJCOHHiBAqFAmtr6xLZbM3MzHxpKb97926USiWjR48mLS1NKkhnbGxMw4YNSU5O1rtOgOXLl2NpacmBAweYPHkyQUFBFBRo0rsLIbCwsMDS0pITJ04AJTuTTU5OZtCgQbi4uLBt2zZq165d7Pn//Oc//PDDDwwcOJARI0aQnJxcYu7e9PR0CgsLOXr0KIsXL8bGxoZFixYxaNAgRo0axS+//IK5uTnDhw+nY8eOJRZsoVQqWblyJVZWVhw4cIBJkyZx8eJFnj59ynvvvYdcLufKlSt4eXnh4ODA9OnT2blzJ0CJulKfPHlCgwYNePjwIffv35e0yGQy1Go1lpaWWFv/vXVm3hTDQIOm89CuSIyNjVEoFFLoIsCoUaNYvnw5nTt3pn79+qxbt47169czduxYPDw8MDExKRHNoOmUHR0dAZg1axZKpZKDBw/y4MEDYmJi6N27N46OjkydOpW8vDxSUlJK5MdgamrK8OHDiy3lZTIZYWFhmJqaMmLECBYvXkxOTg6WlpY8fvwYOztdpFl/Pdo29fX1ZebMmQDcunWLsmXLEhMTA/zWkfTo0YP8/HwUCkWJDjSOjo6MHj1a8r3v3buXkJAQnjx5Avxm2wBubm6kpqZSqVKlEtGalpZGREQEKpUKJycnOnXqhFwuZ8eOHbz//vtMnz6dGTNmAHD37t0/LOehK0xNTRk6dChTpkwBoFmzZmRlZXH16lUAxowZg7GxsWQTz549o3379iWiFZAmjs7OznTs2JG4uLhiLjLtwFi5cmXMzMzYtm0b586d0+ue0r92oHn69Cl37twBNCO+trMwMjKibdu2bN++XZpReXt7k52dzalTp+jZsyeff/45ANOmTWP48OF61a1Wq6VBUQiBiYkJcrlc8r336dOHkydPUqVKFVq0aMHWrVuZN28eXl5e1K1bV6+DovYHoFarMTMzo1atWgCoVCoyMzORyWTSDPz999/Hy8uLhQsX0qdPH54/f06VKlX0phV+G2gsLDQVWoKCgli/fj3Nmzdn/fr1BAQEkJGRAWhWEoWFhSUSNqwdPLR6P/zwQ0JDQ2nVqhU///wzJ0+e5NNPPyU+Ph7QuKxOnDjBiBEjqFixIjY2NnrtZLRtVL16derWrcv27dsBTa2oLl26cO3aNRQKBSYmJkRERDBkyBCUSiUVKlTQm0Zte2httmrVqlhYWFBYWCjZb82aNQHNwNOnTx+Cg4MZOnQou3btomPHjnrTWlQn/Db5uXr1KrVr1+bDDz8kKiqKnTt3Eh4eDmj2bmJjYxk9ejTBwcHUrFlTvxMk8S9k6dKlok2bNmL48OFi+fLl4tGjR0IIIQ4cOCCCg4OFEEIMGzZMBAQEiIyMDCGEEP7+/uL06dMlojcuLk6cPn1a5Ofnv/RccHCwGDdunLh375702IABA8S+ffuKva6wsFDnOoUQIjMzUxw8eFCkp6cLlUolPa7VrlarhUqlEmlpaWLUqFEiLy+v2GseP34sgoKC9KIzKSnppceL6inK+fPnxeTJk0VcXJwQQgilUilOnjypU41FiY2NFT/++KNITU0VarVaejwnJ0cIIcTJkyfFoUOHpMenTJki1q5dK4QQ4uzZs6JPnz7i3LlzOteZnp4uli1bJi5cuCCSk5Olx7Ozs4UQQpw7d0589NFHIjExUQghxJ07d8SMGTNEQkKCyM3NFVu3bhWBgYE61ymExgb27Nkj4uPjRW5urvS41gbUarUoLCwUBQUFYtiwYeL58+fFrlcqlSIsLEwvWoUQ4vHjx2L9+vUvPa7Vvm/fPhERESFiYmJEu3btRLNmzURISIgQQghfX1/RoUMH6W99868LBlAoFBw6dIhdu3bRpk0brl27RkREBE2bNqWgoIDatWtjZmaGm5sbP/30E7dv3+bBgwd8//339OnTh/Lly+tNq1KpZMWKFXzzzTckJiZy/fp1nJyccHR05MyZM1y7do1OnToREhJCamoqDg4O2Nvbk5OTI21Oil9XP/pwlx0+fJgpU6aQnZ1NVFQUjx49olGjRiQlJbFkyRIaNGiAtbU1MpmMkJAQ0tPTad++Pdu2bSM1NZVq1apha2tL9erVdarzxx9/ZMCAAWRmZuLp6SkFR2RlZTFlyhSaNGmCjY2mUqm2/RwdHdm/fz/du3fH3NwcIyMj3NzcdKoToKCggBUrVrB+/Xqys7MJCwvDyMiIqlWrcvnyZY4dO0aTJk2oVq0atWvXlvTm5OTw+PFjWrVqRZUqVejXr5/ON9ZjYmIYP3481tbWJCQksGPHDnr06IFcLmfw4MF4eXnh5ubG/fv3CQoKolOnTpQtW5YdO3bQqVMnbG1tadSoEfXr19epTtDsbc6ZM4esrCzCw8O5d+8enp6exWygTJkyyOVyrl27Rnx8PB988AHbtm0jJiYGNzc3zMzMqFixos61avnqq6/YsmULbm5uuLu7U1hYyIULF7h+/Tp169Zl165d/Pjjjxw8eJAWLVrg6uoqnaNzc3Pj008/LZHgGvgXus7kcjkREREoFAocHBzo3LkzAPv27cPDw4MyZcoA0LBhQyZMmEDFihW5efMmK1eupF69enrVqj0pffDgQVavXk1sbKy0KV2+fHnee+89AIYPH05qaipff/01W7duZcuWLZKbSl/L48LCQq5evcqKFStYsWIF3bp149ixY1y8eBEnJycmTpxYbJB+cSlfq1YtvRx+UygUZGRkMHfuXJ4/f14s7Nva2ppFixZJnYc2gujUqVN89NFH1KxZU+8RO8eOHSMvL4+9e/eybNmyYpOGChUqMHz4cIyMjKS2k8lk7N27l82bN9OiRQvpMX2QkpKCk5MTfn5+zJw5E1NTU7Zs2QLA5s2bcXV1xdramnHjxhEbG8v8+fPp1q0bVatWxdraWm+Rm1FRUVy/fp3169ezatUqevXqxdOnT0lISHjJBgCio6OJjo5mxIgRhISE8M4770juVX2gdZPVq1cPHx8fNm3aRE5ODsbGxjg4ONClSxcAevXqRcOGDdmzZw9ffvklTk5OJCcnI4TQuxv6JUpkHaUntG4vLVpXzqJFi8TmzZuFEEIUFBSIo0ePCj8/P2k5r1AoxMOHD/WqtSha10hBQYH0WEhIiOjdu7fYv3+/yMrKeumarKwssX//fuHn5yciIiL0ojMzM7PY3++9957kXkxJSRGDBg0SQ4YMeeW1+lzKp6amFvs7ISFBCCHEhg0bxIwZM0RKSsorr1MqlWL//v2id+/eenE7FUVrA0VdnmFhYaJz585i69atIj4+/qVrkpOTxdy5c8WwYcPEnTt3dK4xLi5OBAUFSa6by5cvi3nz5kntGxERIUaPHi2ioqJeujYxMVGEhYXprV1ftIGi7XP79m0xcuTIYr+3oqxatUq0atVKXLp0Saca/4ixY8eKGzduCF9fX+Hv7/+Hr3+Vq72k+EcONGq1WqxYsUKMGDFC8qlrKSwsFEFBQeLzzz8XMTExQgjND2LcuHEiNTVVqFQqsXbtWnH16lXpvfTBiz+EokRHRwtvb2+xfft2MXPmTLFo0SIRHR0thNAMiuHh4XrRqCU/P1/MnTtX9O7du9gPdt++faJ9+/bi9u3bYvny5WLVqlVi7Nix4ujRo0IITdtr945evC+6QKlUinnz5gkvLy9x5coVIYTmfmrvaX5+vhg5cqQ4fPiw9KMsLCwUKpVKbN26VajV6tfu2eiC1w14Qgjx6NEjMWbMGLF7926xatUqMXnyZOk7paamSh3248ePda5TqVSKRYsWiW7dugkfHx8xc+ZMERYWJuLi4sS4cePEjRs3pDb29fUVixcvlq5bvnx5sb07fWh90QZe5O7du2L06NEiMzNTsg+VSiW2bNki1Gq1SE9P15veV/UD2gFw+fLlIjExUSQmJopOnTqJsWPHisjISCGEZlKt7Qf02b5vyj/OdVZQUMCXX35JfHw8c+fOLeaTFEJgZGRE3bp1qVixIt999x2gcZOlpKSQmpqKXC5n9OjReHh4APpxO/j7+zNkyBAePHjwyudr1qzJDz/8wJAhQxg7diw5OTnSaeWzZ8+Sn58vfT99sHfvXu7evUvLli3ZvXu39HivXr3o378/+/bt4/nz5wwaNAh3d3cpdj85ORmVSkVBQYFefMVBQUEoFAoGDhzI2rVrgd8iDFUqFaampvTs2ZMjR45QWFgIaCKktJkVlEql3g63al04kZGRr3y+SpUqrFu3jgEDBjBy5EgqVKggZS24ffu2pF8fucyOHDlCUlISR44cYc2aNVStWpWIiAhcXV1xcXHh1KlTPHv2DNBkVAgJCSE3NxcTExPKlSuHUqnUm62+yga0aF1SN27ckM6YaG1DLpdjZmZGQUGBtF+na17XD2gP3z579oznz59z4MABFAoFcXFx1K5dG5VKxcmTJ6V+oFSmRSrhge5vJzU1VQwcOFD6Ozk5WZoRFB3pnz9/Lvr37y98fX2Ft7e3mDx58kuuIH2wdOlSMWnSpP9phj9mzBjJPfa65b4u0M5S8/LyRFxcnLh//74YN27cS9FXRd09kydP1nuky4s68/PzxZAhQ8TevXtf0ieEEF988YWYMWOG6N27t/jxxx/1qlUIIdavXy8mTpz4SnfY65gyZYoUIamvGay2XXNzcyVvgBBCbNy4UXzxxRdCCM2KShvxlp2dLc6ePSvmzp2r91n2/2IDGzZsEGfPnhV37twRY8aMKZHo0t/rB7SrrAULFojGjRuLiRMnisjISNG1a1dx/vx5IYR++4E/w1ufvTkrK0uaMavVakxMTKhRowY3btxgz549JCQkYGZmxpQpU6hRowagmfk7Ojqydu1aIiMjadasGR988IHetefk5HD9+nW2bt2KiYkJCQkJ2NjYvPL0rlqt5tKlS2zfvh1TU1Np5qqd7ehSo3YDXLu6MzMzw9XVFaVSSZs2bTh06BCtW7fG1NRU2tCNiYlh9erVpKSk6CU6KzMzU5p5vqgTYMSIEaxevZru3btjZmYm6VSpVNy8eZPs7GwmTpyo9+y2SqWSK1eusHjxYsqWLUtsbCwWFhavjG7Mz8/n0qVLBAYGIoSQovN0OYPVBs3Ab+1qbm5OjRo1pDY0MTGhfPnyCCFwcXFh+PDhnDx5Eh8fH549e8a0adP0Msv+X21ApVKldEyIAAAgAElEQVRhZGTEtWvXCAgIoEKFCowcOZJ27drpXGtR/qgf0H6X1q1b07t3b+ns2YQJE6SzRrruB/4qb3V488aNGxkxYgQ2NjY0btwYmUxGVlYWp0+f5tmzZ5QpU4ZFixZx9+5dLly4QMuWLTExMZFunIWFBZUrV5YitHRNRkaG9PlqtRpTU1OuXr2KTCZjx44dBAYGcvLkSZydnSlfvnyxKKzIyEgWLFiAt7c3kyZN0nn0kxCClStXcuzYMSks+UWMjIwoU6YM169f59mzZzRq1AjQ/DACAwOpWLEiCxYs0GnaCyEE/v7+fPfddzRp0gRbW9tXvq5q1aqEhYURFRXFO++8I6WgDw0NxdbWFn9/f+lAni5JT08nOzsbS0tLhBAYGxtz+fJlMjMzOX78ODt27OD8+fOAJqrM3Nxc6tCfPXvGggUL6NmzJ1OnTtV5OpFVq1YxZ84cvLy8KFeu3EvPa11Mu3fvpnbt2lJUZvny5XnnnXeoW7cukyZN0vlE48/agPbQ87Zt2+jXrx8LFy6UJqO65M/2A5UrV8bR0VE6rFujRg3Kli2rc71/B2/tQHPr1i1CQ0Pp3bs369atk2pDWFhYoFAoOHLkCP/5z3+oV68e77zzDl999RWenp56PQdTlG3btjFs2DDkcrlUwyYrK4s7d+7w8OFDLC0t+frrr0lLSyM0NJSqVatKM0mAcuXK0a9fP+rUqaNzrVlZWXz++edkZGQwfvz43z0rYG5uTtmyZTl27BixsbFERETg4eFB06ZN+b//+z+d6iwoKGDevHkkJyczc+bM3933kclkNGzYkPXr1/P8+XMuXLhAvXr1cHd3p2nTpjrVqWXnzp0MGTKEwsJC/u///g8TExOUSiUKhYKIiAhMTEzw9/fH1NRU+rtq1apSh1imTBm8vb31YgMbNmzg3r17fP3116891ySXy8nNzeXMmTOMHDmSM2fOsG3bNqpXr46dnZ2UGkmX/BUbOHv2LJ6ennh7e+vcVrX81X5A+z1KQ6bo/4VSuGv0ep48ecLTp08BqF+/PsOGDePDDz/Ew8ODouOlt7c3DRo0QKFQ8PTpUxQKBTVr1tR77iwtDx48IDU1FV9fX44fPy5tlFpbW9OgQQNu3rwpbToPGzaMu3fv8vz5c6D4Br++jCs7OxuFQsGyZctwdXWV0q4ALyXkNDU1JSMjg9DQUH766SeaNm2KXC7Xy1I+OzubmJgYSWdKSoq0KS5esdmckpJCbGwsp0+fpkOHDnq1h8TERPLy8pgzZw5xcXFERUUhhMDU1BR3d3eSkpKk/HpdunRBoVBI9Y9EkfMl+rABrTtv1qxZVKpUidjYWMlmXyQjI4Pw8HBGjRrF7t276d+/v14zLv8VG+jYsSOmpqaYmZnpRetf6Qfedkq3Y+9XVCoV8+fP58KFC7i6utK+fXv69etHtWrVAPDz86NDhw6MGjWK6tWrY2pqysiRIwkNDWXevHk8efKEfv366TWZYFxcHNnZ2dSpUwc3Nzf69u1LpUqVuHXrFqtWrWL+/PkAtG3blpiYGBQKBXfu3KFSpUqUKVPmJf+sLsnOzsbKyqrY325ubjx9+hR/f3/S09OxtbVl6tSpL7lQkpOT2bBhA9OmTaNv37461fln9uO0pKamsnHjRmbMmEG/fv10qlPLw4cPSUhIoEWLFjg7O9O9e3fKly9PUlIS+/bto2rVqtjZ2dG4cWN69uzJuXPnuHTpEnXq1CEtLU06FKhrG9BmVS5btqw0+Dk5OREUFER8fDxXr17F0tKSHj168O6772JraysNfllZWaSkpDBjxgw6deqkU53w9tnA39UPvO28Fa6zmJgYzpw5w549e6hdu7aU8t7d3R0TExMsLCzIzs5m586deHt7A2Bvb0/Dhg2pWbMmH3/8MU2aNNGLVrVazYIFC1i5ciUREREkJCTg4uIibd43bdqUFStW0KhRI5ydnZHL5VSvXh2lUklgYCCbN2+ma9euekvSt27dOiZPnoyjo6O0yZiXl0dAQACZmZk4ODgwc+ZMfvnlF06dOkWXLl2KJfW0srKiT58+Os+a8Gf34+C31P7a7Nu6RgjBkiVL8Pf358GDB9y9exdra2vJBVWvXj12795NuXLlcHFxwcTEhOrVq2NhYcGBAwf49ttv6datm14CVP6KO0+tVlO2bFl8fHxwd3fXuda3yQbetn5A15Ra15lCoZD+LZfLefToEfn5+dSuXZsOHToQGxvL5cuXpddMnjyZZ8+esWjRIqZPn87NmzcBzRkUfS2N4bdY99OnT0tp77WdNmgGwL59++Lv7y9dY2trS/fu3fn888/Zt28fQ4YM0YvW0NBQbt26xUcffcTOnTul9DYVKlSgZcuWHDp0CA8PD8zNzZk/fz7h4eE8fPjwJTeOrmfct27d4unTp8yePZsNGzZIWbUdHBxo1qwZ58+fl/aRJk+eTHh4eLGzCPp0O8FvrseDBw/i7++Ps7MzW7ZskWzaxsaGbt26cfDgwWLRWO+++y6+vr78+OOPerGBv+rO02rXR0TZ22YDb1M/oA9K3Yrm0aNH+Pn5cfDgQWJjY3FxccHJyYn4+HjUajVubm44OTkRHR1NRkaGVPkwPz+fXbt2ERsby+DBg6U8T/ogKSlJWuKmp6ezbt06vL29cXR0xNramqioKBQKhTTrb9asGbt27SIyMpIdO3bg6OhI5cqVsbGx0Xm+r8TERECzt1KpUiXq1KlD+/btuXTpEtHR0bzzzjsANGrUiPPnz+Pi4kLlypVJSkoiNjaWbt266WXgfvLkCVlZWdjY2FC+fHmqVKlC69atuXr1KpcuXZLqf9SqVYvIyEgpwWFBQQERERF07NhRylunD548eYKZmRnGxsakpqayZs0aevbsiZ2dHc7OzsTExBAZGYmXlxegWdWcPXuW8+fP880332BnZ4e7u7uUsFNXPHz4kMjISCnvWKVKlfDy8uLevXtcvXqVJk2aYG5ujpOTE3K5nPv372Nra4uNjQ0HDx6kWbNm0opG17xtNvA29QP6plQNNGFhYcyePZs2bdowcOBAIiIiCA8Pp2PHjkRHR5OYmEi1atWwt7cnJSWFs2fP0rNnT5RKJevWraNRo0b4+/vrPPuvltjYWL788ksOHjwoFRaqWrUqDx48ICUlhYYNG2JnZ0dGRgbR0dHUrVsXS0tL8vPz2bx5M48fP+ajjz6ibdu2Oteqjc5ZuXIlV69eJT8/n7p162Jvbw+Aq6sr3377La1atcLW1hZjY2NcXFy4e/cuO3bsYM+ePXTu3JlmzZrpVKdKpcLPz4+VK1dy5coVMjMzqV27thTB9M477zB79mw6dOiAg4MDRkZGVKlShefPn7Njxw62b99O586dadWqlU51aomNjWXOnDkcOHCAoKAg3NzccHNz4+7du0RHR9OiRQupIqc20s3W1pa8vDz8/f1JSkpi/PjxUnJXXfE2ufPeRht4W/qBEkMfp0LflMjISPHLL79If1+8eFH4+voKITQJBb/66iuxadMmIYTmtOygQYOkmhf6qrei5c6dO2LAgAFi8+bNIi0tTSxdulSMGjVKCCHEkSNHxBdffCGd8r18+bIYP368yMrKEgUFBWL37t1i48aNetV78eJFMWbMGCGEEKGhoWLYsGHi3LlzQqlUSq9ZsmSJmDx58kvXhoeHF6vXoUuioqLE2LFjhRAae5g2bZoICAiQ6q4IIcSyZcuKZX/QngKPjo7Wa26y2NhYMWzYMLFhwwYhhBCrV68W/fv3F0IIcfXqVTF69Ghx9+5dIYQQ9+/fF5999pmIiYkRarVanD17Vkrsqg8yMzPF9OnTRXZ2tsjMzBTbt28X48ePL5Zfbc+ePWLcuHGSTWhPm6elpek1QePbZANvWz9QUpSqFY2jo6N0QEkmk3H16lVu3LhBt27dqFChAlZWVmzatIlHjx6xdOlSGjduTLt27TAyMtJ7fp/c3FwaNGjA+++/j7m5OdWqVSMkJIR3330XGxsb4uLiuHTpEm3atMHFxYUdO3bQpk0bbG1tqVu3rs5XBqA5Ka11cyUmJvLLL7/wwQcf4OrqSnp6Ordv36ZChQrSTLFZs2YEBAQQFxfH6dOncXV1xd7engoVKug0XFmhUEgRVqmpqQQGBtKnTx+cnZ0RQhAZGSnVYAHNjHbdunU8efKEw4cP4+zsjJOTE2XLltXrCWmlUkmdOnWkbAKNGzfmwIEDtGzZEldXV549e8a+ffvo3r079vb27Nixg7Zt2+Lg4ECVKlV0HqDytrjz4O21gbehHygNlEgwgHZDTIsoEu9uZmYm+X8zMzOlCBGZTIaHhwfLly+nZs2ajB49mi+++EKvpYmLUrlyZRo3biz9HRMTQ1ZWFlZWVlSuXJkBAwZw/fp15s+fT48ePahWrZp0bkPXg+KjR4+YOnUq06dPZ/fu3SgUCmxtbalVq5ZUvrpHjx5kZWVJdc9B82NPTEzk6NGjNG/eXAof16XOKVOmMGXKFPz9/YmPj8fFxQUvLy9+/vlnAFq0aIGdnR337t0jNzcXQEoeePbsWTp06EDDhg11qvN1lCtXrlgE0927d5HJZNKJfh8fH3Jycpg7dy4ffPABZcuWlU5y63KPIzY2lgkTJjBt2jTGjh3LzZs3cXJywsvLi23btgGaSV3Hjh15+PChVPI5Ly+PGzducP36dcaOHUvXrl11plHL224DpbkfKE3o/ZuuXbuWwYMHs27dOo4dOwZoQgFfVXs9OjpayqK8Z88esrOzqVq1Kr169aJ79+560Zuamkp6evornyua2VepVErhwaCph7527VpatWqFj48PCxYs0EvRrDNnzjB+/Hg8PDz48MMPiY6OZv/+/VSuXJmCggKioqLIyMjAzs6OevXqceTIEUm/v78//fr149SpU1JRNV0RFhbGlClTaNSoETNnziQ7O5stW7ZgaWmJk5MTkZGRPHv2DGtra9zc3Lhy5QoWFhbSflzfvn0JCgrSuU5AirR6FUVtoKCgoFiBKZlMJmVl/uSTT1i+fPlr06P8XcTFxTFnzhzq1avHrl278PDwYMGCBYDmIHNUVBQxMTEYGRnh4OCAhYUF+fn5CCG4dOkS/fv35/jx43oJq32bbCAjI0M6CArFJ8elsR8odejTTxcYGCh8fHxEQkKCuH37tvD09BSPHj0q9hptzYi8vDzRt29fsX79ejFo0CDx2WefiaysLL3VhxFCiG+++Ua0bNlSfPrpp2L16tXS46/KlLp48WKp7srGjRtLJBO0EJr9FG1GVyE0bb5y5UohhJAKvB07dkwIofG9f/zxx1KBuKL7NbrmbdmPW7p0qfDx8RG3b98WQvyWKflVGtasWSMCAgKEEJqMzC/atj549uxZsfpE+fn5YsCAAeLp06ciNzdXrFu3Tnz88cfS80OHDhX3798XQuiv9pKWt8UGVq9eLd5//33h6+srduzYIX3+qzSUln6gtKFzZ6b2JK9KpSI2NhZvb2+cnZ1xdnamdu3azJ8/n2+//ZbY2FgWL16MQqFg06ZNpKWlERsby5UrV5g0aZLe8lFpuXfvHuHh4Zw+fZrk5GRmzJhBtWrVePfdd6VT9JcvX8bDwwNjY2Nu3LghJZO0s7NjwIABeitNW5QmTZqQn58vZabNz88nKSkJgM6dO6NSqdi5cycxMTGcPn1a8iUDenVD1q5dW5pJaxNGJicnA5rDbEZGRvj5+ZGcnExISAjNmzeXQlX1Ffq5d+9egoOD8fT0JCgoiLp16yKXy6W6RgAXL16kWrVqODs7c/PmTRwdHRk6dCh2dnYMHDhQLzqLUq5cuWKrpqLuPAAfHx+GDh3K3LlzCQ8PL5aYUd+2WtptICMjg6VLl5KTk8PatWtJSkpi4sSJdOrUqViGjNLYD5Q2dDbQpKens3TpUhITE+nduzft27fH0dGRo0eP0rhxYywsLHB3d+enn34iPDwcc3NzunfvLvmFzczMWLhwoRQrr28sLS3JzMwkOzsbFxcXBg4cSGhoKC4uLlSsWJE5c+ZIG6zm5uYkJydz+/ZtJk2aJLn7dEnRlOhQPB9W0XMuz58/l/zXcrmc7t27U716dYKDgxk1apTOw1W1A96rKKrzdftx165do27dunpzlRalU6dOtG7dmri4OA4fPsz58+dp06YNMpmMlJQUfH19USgULF++HIC0tDTS0tKYOXOmlMlaV+Tl5WFubv7K597EnRcfH4+Xl5fe08a8SGm2AVNTU9q2bSuVDXB1daVVq1ZERUVRrlw5EhMTmTt3bon2A28Nuloq+fr6Cl9fX3Hx4kUxf/58qTDSF198IaZMmSK6dOkijh49KrZv3y6mT59e7Fp917pWKBRi1qxZIjQ0VHrs/v37YsGCBVLRLrVaLfz8/MTu3btFeHi4OHPmjPRapVIpLl68qDe9/v7+omPHjmLZsmXiyJEjQoiXl/LaYkmTJ0+WarYfPXq0WIiorvnqq6/EunXrRFpaWrHHX+Vy8PX1ldo6MDBQZGVl6UWjllfZgNZNlpGRIbZt2yb8/PwkV8jDhw+LFXQrLCwUN2/e1IvWt8mdt2bNGtGrVy+xdOlSyaWkUqlKrQ3MmTNHPHnyRHqsqIbMzEzRu3dvKVw5IiJCKqEthP77gbcJnQQDZGVlUVBQwJgxY/Dy8uKTTz4hMTGRvXv3Mn/+fCZMmMC3335L165dcXBwkNKeawMC9FU+FzQhoLNmzSIoKIgjR46QmpoKaErnGhsbExkZSVJSEjKZjJYtW3Lw4EGaNGkiHa4qKCjAxMREChHVNWfPnuXKlSvs2LGDZs2asXDhQuLi4jAyMpJWDrdu3UImk5GZmcnjx48JCwtjwIABXL16FdB9yWftYcTjx48TFRUlRbppP1urMzw8HNBEEEVFRXHjxg0GDx7M9evX9aJTy4s2kJaWBvwWFWRjY4OHhwdCCI4fPw5oaptosygUFBRgZGSklxxaWndelSpVCAoKknSKF9x52gwQN2/eJDIykqFDh3L79m3pgK6uSU5OZtKkScTGxrJo0SJq1arFd999J5VLL202cO/ePSZPnszevXtZs2aN9HjRZLOFhYXY2dnh5OQEaErAt2nTBtB/P/C2oZOBxtramqdPn0o/BDs7Oz766CN27dpFZmamVFs8Li6OH374QfIpl0TaBUtLS8aMGcPp06d5+vQply5dkjqOtm3bEhcXx8WLFwFNhlULCwtpzwP0t69RtKZ9vXr1cHJyonXr1nh7e/P1118DmtDKMWPGsHbtWnJycnj06BERERGEhIQwdepUZs2ahYWFhU79xUIITExM6NSpE8eOHaNGjRqEhYWRkJAAaFwicXFx/Pe//2XJkiVkZmby7NmzYvtxixYtwsrKSm9+7Rdt4OLFi1I5BG1H5+7ujqenJzExMWzatIldu3ZJr9Hn3lanTp3YsGEDHTp0QKFQSEXStO68sWPH4u/vL2lLS0vj3r17TJkyhVWrVuktJYu5uTnt2rVjyZIl1KpVixYtWuDm5ib9dkqbDdjY2PDJJ59w5coVwsPDuXLlykuviY+Px8rKClNTU3766Scp/Br0awNvJX9lOZSbm/vSKVztkjgsLEx07dpVZGdnCyE0UWSzZ8+WXD1BQUGiU6dOej0d/bqoGu2p9/3794tPPvmk2NL5xIkTwsfHRyxYsEAMGzZMTJkyRW/1uRUKhVi8eHGxNj548KCYOXOm5F5UqVSia9eu4vLlyyIkJETs27ev2Pc6dOhQiejU6rt3756YOnWqOHHihBTVdu7cOREUFFTstadOndK5zqK8aAsv2sDTp0+l57SuqZ9++km0bNlSdOzYUVy4cEHnGt8md96rbKBoxFVKSoro2bOnlIng/PnzJW4DL6LtqzZv3iyGDh360vMbNmwQPj4+4rPPPhN9+/YVly9f1rfEt5Y/PdA8f/5ctGrVSsybN6/Y4yqVSvoRT506VcyePVt6bu7cuSI4OFgIIURiYqJeU0W8GLr7ukHn008/FVu3bi32+vj4eLFlyxaxc+dOnWosSkREhPD29ha1a9cWM2bMkB7Pz88XvXr1KhbCHBAQIEaOHFnsen2FKr9Kp7Yz1LJ161bh5+cnoqOjX7pen/txOTk5Yu3atS/tGb2I1gaKfo+MjAzRrl07KdxW1zx+/FiMHTtWNG/eXPj6+orU1NSXXhMRESHmzZsnvv/++5ee02eo+pvYwL1794SPj88rr9enDbz4Wa/rB3r16vVSu3755ZeidevWYvfu3TrT90/lT6egycrK4vjx4zx+/BgvLy8cHBykOuwymYyEhATee+89vvrqK2xsbEhKSuLgwYNSeg5ra2u9pYoICAhg2bJlxMfHk5OTQ7Vq1aR6Gtqlubb+edmyZTl8+DCNGzfm1KlT2NjY4OrqioeHBw0aNNCLXtDsczRo0IB58+Yxa9YsWrdujaOjo7QX88MPP9C8eXNsbGywsrLi6dOneHp6SmVe9eWGfJXOcuXKoVKpJC2VK1fm4sWLWFpacuPGDZKTk6VIKH3p3L17N3PmzOHKlSvUqFFDSib5ezbQsGFDTp06hbW1NeXLl2fgwIF6K/mrUqmoWbMmEyZMYO/evdjY2FC9enWpDpBMJqNMmTKoVCpu3bpFdHQ0UVFR1KtXT6/3H97MBm7dukViYiLt2rXj7NmzpKSkSGn99aV1586dLFiwgMePH/Ps2TNq1679Uj9QWFiIXC6nXLlybNmyRToUWqFCBcqVK8fEiRMN0WR/gv9pj0b86q8WQqBWqxk+fDgdOnRg6dKlmjeTy0lMTGTy5MnMnTsXa2trFixYQGpqKuvWrcPHx0ev6ftTU1OZPn06wcHBTJ48GXt7ew4cOCCl3NBu9kZFRUnG3rx5c3JycujVqxdHjhzRi+9VvGLDs0qVKjRs2BBTU1OGDh3KnDlzpOf69OlDlSpVWLduHYGBgXz55ZfI5XJMTU31ntbidTq1Ew7Q1AxxcnJi9uzZbNy4Ua/BHomJiYwaNYqLFy8yd+5c2rZtK4UFawcW+H0bMDU1leq06At7e3vc3d2xtrbm/fff5+jRo9L+hrZztLCwQAjBsWPH+P7773F1ddX5/f9fbLWoDYSHh5Ofn8/nn3/Opk2b9NqWqampzJw5k59//plZs2ZRtWpVgoKCpMAfbZs9fPhQmvy2a9cOpVJJkyZN2LdvH/n5+dKxDAN/gj9a8hQUFIhNmzZJPmvtHkxERISYMGGCEEKI7t27i5MnT4ro6Ghx5swZKZttSaHVWFBQIAIDA6XlcVxcnJgxY4aUUffZs2di2rRpYuDAgSIxMVHk5+eLH3/8Ubz77rvi5MmTetH6pi6Od999Vxw8eFD6Oy0tTVy6dElMnTpVfPfdd7qSJ5Gfn19M6+tcDi/qFEKI27dvi3fffVds3bpVlxJfSUFBgZRtQggh/Pz8imWoLmkbyM3NFZGRkS+5ml6kNLjzirq6fy+LwKtswMfHR7Rv317s2rVLZ/peR2Fhobh27Zr095EjR8SCBQukvxMTE8XEiRPFuHHjRHJyssjNzRVbtmwR7dq101s/8E/ndweaqKgo0bNnT/HOO++ISZMmFXsuJiZGbNu2TQghxLRp00StWrVe2q/Rd+r+wsJCsWzZMrFkyRJpD6Poj0OlUom+ffuKhw8fCiGECA4Ols4YaCkaCKBrtm7dKgYNGiQ2btwobdqq1epinYk28ODYsWOiQ4cOQgghQkJCpE3VP+qg/g4CAgLEBx98IPz8/Ir5rd9EZ3p6uigoKNDbftzrJkZarRcvXhSTJk0SCoVCCFGyNrBr1y7RpUsXsWfPnmIdd9F21eoPDQ0VPj4+4tGjR2Lv3r0iNjZWCKG//Y379+8LLy8vsXz58mK6/sgGfvnlF6FSqcS5c+ekzXZd86INaNtWrVaLvXv3ijZt2oiRI0eKefPmiYsXL4rw8HCxdu3aYu+hPXtm4O/hd9fZ9vb2DBkyhOPHj/PkyROCg4Ol53Jycti2bRuDBw8mMTGR+vXrS3XDhWYA06uf+PLly/Tu3Zv09HSqVq3KqlWrCAsLK3by+OHDh9ja2kqpxlu2bMmgQYOA38KHtX5jXXP69GmOHDnC5MmTpSSBd+7cQSaTSUv5J0+eSEv5Ll26UFhYSIMGDfjhhx/0VkY3MDCQM2fOMG/ePBo0aMDly5fJysqS9uN+T+fevXsRQmBsbKyXqpzR0dH07duXzZs3S+5crQ1qtRYUFJCfny9lVSgJG8jMzMTX15ft27ezevVq+vXrJ7mYirZraXLnyeVyKlSoQGBgIM+ePcPIyEjaz4DX28D3339PdnY2bdq00UsyyVfZQNEyzm5ubgQFBbF582b+7//+j2XLluHh4cF///tf4DcbqFWrls61/pv43V6qfPnydO3aFVtbW3r16sWGDRuk52rUqIGXlxc9e/Zk+/btzJ8/nwMHDpCbmyttAOoTuVzOiBEjmDt3Ln379qVx48ZSnLv2IOizZ89wcHAAICIigkuXLgFInaGu0dY5B01Mfq9evWjSpAkjRoygWbNmUiqTJ0+eMH78eL799lvS0tLIzs5m5cqVGBsbs2LFCpYtWyalGtcF2h+bWq3mypUrDBkyhEaNGmFiYiKVpZXL5X+oUx/ZiovyuolR0czgrVq14vbt29IhUu15E0DnNqDVoc1O3KtXL6pXr45CoSA0NJSsrCzkcjnJyclMmzaNefPmkZSUhFKpZN++fcTHx7NkyRK2bduGs7OzTn9jL2YqTktLY/To0fTt25eZM2cCmkH8j2xg5cqVxVIl6ZrX2UBBQQGgyQWoHZzd3d2pUaMGmZmZqNVqvfUD/0b+MOpM2/A1atTgxIkTpKWl0bhxY0xMTOjQoQN169ZFCEG5cuXo06dPiR1csre3l2YhcrmcjIwMkpKSaNmypTTwnT59moSEBK5fv87evXvx8vKiUqVKOh8UVSoVK1euJCgoCLVajZubG/fu3ePHH2GReZ4AAAn1SURBVH+kX79+mJiYUKtWLfbv30/ZsmV5/vw5+fn5zJw5E3Nzc0xNTTE2Nuazzz7Dzc1NZzoLCwtZunQpFy5cQCaTUbVqVZ4+fcrOnTv55Zdf2LdvH8bGxpw8eRIrKysUCgW5ubl61/k6rKysqFatmpTEdffu3fTu3Vs6Oa9dLTx+/BilUknDhg31MiHS3v+QkBBUKhXVqlXD1taWsLAwNm7cyPfff8/jx485ceKEVC9eW3rb2toaIyMjbG1t+fTTT3XerkVtwNjYGFdXV2QyGQ8fPuTMmTPMmjWLr776ijp16mBmZkZUVFSJ2OrreJ0NGBkZFcsHmJ2dzZIlS7CysqJTp04lMjn+N/HG4c3GxsY4ODiwY8cO+vXrJ2WF1UZhlPRNMjExKVZpc8uWLbi5udGoUSMpJHTTpk1cuXIFLy8vFi9eTKVKlXSuKyQkhLFjx+Lo6IinpycrVqygWbNmtG7dmt27d2NnZ0eNGjUwNjZGLpcTHh7OsGHDpPQmWveErt05Qgj8/PxIS0ujefPm7Ny5k7y8PAYPHkyLFi24dOkSq1aton///ggh+Pbbb5kyZYoURagvnX/EixOj9PR0yQa0tnH+/Hk8PT1xcXHRuZ7Lly8zbtw47O3tqVmzJps3b6Z69eo0bNiQpKQkzMzMWL58OZ07d0Ymk7FlyxY+/vhjqZiWtl31sSp4lQ1kZ2dTp04dnj59irW1NXXr1uXmzZssW7YMY2NjBg0apHdb/SN+zwYKCwtZv349ixcvpmnTpkyfPr1Etf5b+J/Wia1atWLbtm3Ur1+fli1bsnDhQqDkB5miaGP3k5OTpTxE0dHR1KpVi169ejFr1iwpZbo+cHZ2Zvbs2Xh6egIQFBQkVRj96KOPWL16tdTJmJiYSB2KNvRWX0v57OxsoqKi2LRpE9bW1tjb23Pu3DmOHTvGf/7zH5KTkylfvjwADRo0wM3NjbS0NMmFV9pcDubm5gwfPpxVq1YxdOhQ7t69i729PeXKlWPGjBl63dsYMWIEPXv2BDS2ePbsWZo1a0aXLl0wMzOTvADu7u5Uq1aN7OxsLC0t9Xr/4fU2cP78eSpUqMCXX37JgQMHkMlkVKlSRVqx6NtW35QXbSAqKgp3d3datGiBt7e3lLPMgO55451ktVrNihUrePDgAbNnz2bDhg1SHYvShFwup7CwEHt7e6KiohgzZgxbtmwhKyuLDh066HWQAXBzc8PT05OsrCxGjx7N9evX2blzJxcvXqRr165Ur16d2bNnc+3aNYKCgqR9HCMjI70O4NbW1ri4uLB//35A48uuV68ely9fRiaTFTsT5e/vj0qlws7OrlS7HFq1akWZMmWoX78+y5Ytk3Tq8wxHvXr16Nq1q7Q/07hxY+ksirW1tTTIZGVlsWHDBiwsLKQ9MH3zOhsIDg4mJyeHxo0b88EHH7B9+3aWLFnC5s2bpTIQb4sNpKen07hxY8Mgo2fe2HUmk8lQKpXMnDmzxOpzvwkymYybN2+ycOFCEhMT6datGxMmTNBr5/IqTE1NycrKYtmyZajVaoKDgylTpgze3t5kZmaye/duatSowdSpU0tMo1qtJjw8nAYNGmBvb49KpeLevXvUrFmTVq1acebMGXbt2kX9+vXx9fUttZ0LaL7LypUruXTpElOnTuWzzz4rkRK6v+fS1erUBtM0bdqUadOm6V1jUV5lAw8fPqRWrVoMHjyYevXqIYTA2dmZQYMGleq69y/awMyZMw0HLksK/UdU656EhASxfv16vde1eR2vOtzm4+NT7DBYadCalJQklixZItavXy89NmDAACl5YF5ent5rhPwVzp07VyraVQjNuROVSiVGjRolnYHR5n67fv26SExMLEl5Eq+zAe2hV30llP27KE028G+m9E5H/gLOzs74+PiU+CpGy4sz//j4eJRKpRRqDfp157yO8uXL0759ey5cuCDlsTMzM5O0mZmZFavPUdpp06ZNqWhXeLVLd/PmzWRlZdGoUaNS48p5nQ1oXXylbR/mjyhNNvBvRiaEnioL/ctRq9UkJSWxcuVKYmJiGDBgAP369StpWa/k/Pnz/PTTT1y7do3BgwczePDgkpb0j+D69esMGDAADw8PevfuTd++fUta0msx2ICBvxPDQKNHUlJSCAoKwtvbu9TPsgoKCpDJZG/dDLY0k5iYyMGDBxkxYkSpv/9gsAEDfx+GgcaAAQMGDOiUf+QejQEDBgwYKD0YBhoDBgwYMKBTDAONAQMGDBjQKYaBxoABAwYM6BTDQGPAgAEDBnSKIW7RgIG/QGpqKsOHDwcgOTkZuVyOg4MDcXFx9OjRgzfM8PQ/ExoaiomJCU2aNNHJ+xsw8HdiGGgMGPgL2Nvbc/DgQQBWr16NpaUlo0aN0vnnXr58GUtLS8NAY+CtwDDQGDCgA0JDQ9myZQsbNmxg9erVPH78mPj4eBISEpg5cybXr1/n559/pnz58qxfvx4TExNu3brF4sWLycnJwd7enkWLFlG+fHm2b99OYGAgRkZG1KhRgylTphAYGIhcLufQoUP4+vqSkZHBunXrKCgowM7Ojq+//hpHR8c3/ux27drRuXNnfv75Z8zMzFi2bBlVqlQp6WY08A/BsEdjwIAeiIuL47vvvmPdunVMmzYNT09PDh8+jLm5OefPn6egoID58+ezatUq9u3bh7e3NytWrABg48aNHDhwgMOHDzN37lwqVarEgAEDGD58OAcPHqRZs2Y0bdqU77//ngMHDtCtWzc2bdr0xp+txcbGhsOHDzN48GCp1pQBA38HhhWNAQN6oHXr1piYmFCzZk1UKhWtW7cGoGbNmjx+/JiHDx9y9+5dRowYAWhy45UrVw6AWrVqMXXqVNq3b0+HDh1e+f6JiYlMmjSJ58+fo1Qqi1WP/aPP1vL+++8D0K1bNxYtWvT3N4KBfy2GgcaAAT2gzW0ml8sxMTGRMnrL5XJUKhVCCNzd3dmzZ89L127cuJGwsDDOnj3L+vXrOXz48EuvmT9/PsOHD6d9+/aEhoayZs2aN/5sAwZ0jcF1ZsBAKaBatWooFAquXbsGaBJaxsTEoFarSUhIwMvLi6lTp5KZmUlOTg5WVlZkZ2dL12dmZkqlBg4cOPCnNBw/fhyAY8eO4eHh8Re/kQEDv2FY0RgwUAowNTVl1apVzJ8/n8zMTFQqFcOGDaNq1apMmzaNrKwshBAMHTqUMmXK0LZtW8aPH8/p06fx9fVl3LhxTJgwAVtbWzw9PYu5xN6U9PR0unfvjqmpKcuXL9fBtzTwb8WQvdmAAQO0a9eOH374oVgxPgMG/i4MrjMDBgwYMKBTDCsaAwYMGDCgUwwrGgMGDBgwoFMMA40BAwYMGNAphoHGgAEDBgzoFMNAY8CAAQMGdIphoDFgwIABAzrl/wGbUcPG9oN0ywAAAABJRU5ErkJggg==\n",
 717             "text/plain": [
 718               "<Figure size 432x288 with 4 Axes>"
 719             ]
 720           },
 721           "metadata": {}
 722         }
 723       ]
 724     },
 725     {
 726       "cell_type": "code",
 727       "metadata": {
 728         "id": "jJQD1x9psWCH"
 729       },
 730       "source": [
 731         "features = features.values"
 732       ],
 733       "execution_count": null,
 734       "outputs": []
 735     },
 736     {
 737       "cell_type": "code",
 738       "metadata": {
 739         "colab": {
 740           "base_uri": "https://localhost:8080/"
 741         },
 742         "id": "xf8WCiykpUzN",
 743         "outputId": "ef830bbd-5c4e-4dc7-c1ea-3d112d7d809e"
 744       },
 745       "source": [
 746         "### standardize data\n",
 747         "train_split = 141600\n",
 748         "tf.random.set_seed(13)\n",
 749         "\n",
 750         "### standardize data\n",
 751         "features_mean = features[:train_split].mean()\n",
 752         "features_std = features[:train_split].std()\n",
 753         "features  = (features - features_mean)/ features_std\n",
 754         "\n",
 755         "print(type(features))\n",
 756         "print(features.shape)\n"
 757       ],
 758       "execution_count": null,
 759       "outputs": [
 760         {
 761           "output_type": "stream",
 762           "name": "stdout",
 763           "text": [
 764             "<class 'numpy.ndarray'>\n",
 765             "(177000, 4)\n"
 766           ]
 767         }
 768       ]
 769     },
 770     {
 771       "cell_type": "code",
 772       "metadata": {
 773         "id": "1a0hNDmppnLB"
 774       },
 775       "source": [
 776         "### create mutlivariate data\n",
 777         "\n",
 778         "def mutlivariate_data(features , target , start_idx , end_idx , history_size , target_size,\n",
 779         "                      step ,  single_step = False):\n",
 780         "  data = []\n",
 781         "  labels = []\n",
 782         "  start_idx = start_idx + history_size\n",
 783         "  if end_idx is None:\n",
 784         "    end_idx = len(features)- target_size\n",
 785         "  for i in range(start_idx , end_idx ):\n",
 786         "    idxs = range(i-history_size, i, step) ### using step\n",
 787         "    data.append(features[idxs])\n",
 788         "    if single_step:\n",
 789         "      labels.append(target[i+target_size])\n",
 790         "    else:\n",
 791         "      labels.append(target[i:i+target_size])\n",
 792         "\n",
 793         "  return np.array(data) , np.array(labels)"
 794       ],
 795       "execution_count": null,
 796       "outputs": []
 797     },
 798     {
 799       "cell_type": "code",
 800       "metadata": {
 801         "colab": {
 802           "base_uri": "https://localhost:8080/"
 803         },
 804         "id": "Z0CivgkitfgE",
 805         "outputId": "8057191e-6d36-429f-d649-12689677409a"
 806       },
 807       "source": [
 808         "### generate multivariate data\n",
 809         "\n",
 810         "history = 720\n",
 811         "future_target = 72\n",
 812         "STEP = 6\n",
 813         "\n",
 814         "x_train_ss , y_train_ss = mutlivariate_data(features , features[:, 1], 0, train_split, history,\n",
 815         "                                            future_target, STEP , single_step = True)\n",
 816         "\n",
 817         "x_val_ss , y_val_ss = mutlivariate_data(features , features[:,1] , train_split , None , history ,\n",
 818         "                                        future_target, STEP, single_step = True)\n",
 819         "\n",
 820         "print(x_train_ss.shape , y_train_ss.shape)\n",
 821         "print(x_val_ss.shape , y_val_ss.shape)"
 822       ],
 823       "execution_count": null,
 824       "outputs": [
 825         {
 826           "output_type": "stream",
 827           "name": "stdout",
 828           "text": [
 829             "(140880, 120, 4) (140880,)\n",
 830             "(34608, 120, 4) (34608,)\n"
 831           ]
 832         }
 833       ]
 834     },
 835     {
 836       "cell_type": "code",
 837       "metadata": {
 838         "colab": {
 839           "base_uri": "https://localhost:8080/"
 840         },
 841         "id": "VBdr2epGu3aq",
 842         "outputId": "42891ad8-9f74-4c75-a750-776d3d6b8ceb"
 843       },
 844       "source": [
 845         "## tensorflow dataset\n",
 846         "batch_size = 256\n",
 847         "buffer_size = 10000\n",
 848         "\n",
 849         "train_ss = tf.data.Dataset.from_tensor_slices((x_train_ss, y_train_ss))\n",
 850         "train_ss = train_ss.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
 851         "\n",
 852         "val_ss = tf.data.Dataset.from_tensor_slices((x_val_ss, y_val_ss))\n",
 853         "val_ss = val_ss.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
 854         "\n",
 855         "print(train_ss)\n",
 856         "print(val_ss)"
 857       ],
 858       "execution_count": null,
 859       "outputs": [
 860         {
 861           "output_type": "stream",
 862           "name": "stdout",
 863           "text": [
 864             "<RepeatDataset shapes: ((None, 120, 4), (None,)), types: (tf.float64, tf.float64)>\n",
 865             "<RepeatDataset shapes: ((None, 120, 4), (None,)), types: (tf.float64, tf.float64)>\n"
 866           ]
 867         }
 868       ]
 869     },
 870     {
 871       "cell_type": "code",
 872       "metadata": {
 873         "id": "9eQpwUyGglu_"
 874       },
 875       "source": [
 876         "def root_mean_squared_error(y_true, y_pred):\n",
 877         "        return K.sqrt(K.mean(K.square(y_pred - y_true))) "
 878       ],
 879       "execution_count": null,
 880       "outputs": []
 881     },
 882     {
 883       "cell_type": "code",
 884       "metadata": {
 885         "colab": {
 886           "base_uri": "https://localhost:8080/"
 887         },
 888         "id": "1cKtTAzqyiyL",
 889         "outputId": "e8cbfcc9-59f0-459a-a451-fd2d49c31973"
 890       },
 891       "source": [
 892         "from keras.layers import Activation, Dense, Dropout\n",
 893         "### Modelling using LSTM\n",
 894         "steps = 50\n",
 895         "\n",
 896         "EPOCHS =20\n",
 897         "\n",
 898         "single_step_model = tf.keras.models.Sequential()\n",
 899         "\n",
 900         "single_step_model.add(tf.keras.layers.LSTM(32, return_sequences=False, input_shape = x_train_ss.shape[-2:]))\n",
 901         "single_step_model.add(tf.keras.layers.Dropout(0.3))\n",
 902         "single_step_model.add(tf.keras.layers.Dense(1))\n",
 903         "single_step_model.compile(optimizer = tf.keras.optimizers.Adam(), loss = 'mae',metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
 904         "#single_step_model.compile(loss='mse', optimizer='rmsprop')\n",
 905         "single_step_model_history = single_step_model.fit(train_ss, epochs = EPOCHS , \n",
 906         "                                                  steps_per_epoch =steps, validation_data = val_ss,\n",
 907         "                                                  validation_steps = 50)\n",
 908         "single_step_model.summary()\n",
 909         "\n"
 910       ],
 911       "execution_count": null,
 912       "outputs": [
 913         {
 914           "output_type": "stream",
 915           "name": "stdout",
 916           "text": [
 917             "Epoch 1/20\n",
 918             "50/50 [==============================] - 9s 45ms/step - loss: 0.1683 - rmse: 0.2196 - val_loss: 0.0219 - val_rmse: 0.0226\n",
 919             "Epoch 2/20\n",
 920             "50/50 [==============================] - 2s 35ms/step - loss: 0.0866 - rmse: 0.1100 - val_loss: 0.0134 - val_rmse: 0.0140\n",
 921             "Epoch 3/20\n",
 922             "50/50 [==============================] - 2s 35ms/step - loss: 0.0560 - rmse: 0.0704 - val_loss: 0.0052 - val_rmse: 0.0057\n",
 923             "Epoch 4/20\n",
 924             "50/50 [==============================] - 2s 35ms/step - loss: 0.0487 - rmse: 0.0611 - val_loss: 0.0041 - val_rmse: 0.0046\n",
 925             "Epoch 5/20\n",
 926             "50/50 [==============================] - 2s 33ms/step - loss: 0.0458 - rmse: 0.0576 - val_loss: 0.0109 - val_rmse: 0.0111\n",
 927             "Epoch 6/20\n",
 928             "50/50 [==============================] - 2s 35ms/step - loss: 0.0432 - rmse: 0.0542 - val_loss: 0.0084 - val_rmse: 0.0086\n",
 929             "Epoch 7/20\n",
 930             "50/50 [==============================] - 2s 36ms/step - loss: 0.0401 - rmse: 0.0504 - val_loss: 0.0080 - val_rmse: 0.0082\n",
 931             "Epoch 8/20\n",
 932             "50/50 [==============================] - 2s 35ms/step - loss: 0.0383 - rmse: 0.0481 - val_loss: 0.0129 - val_rmse: 0.0130\n",
 933             "Epoch 9/20\n",
 934             "50/50 [==============================] - 2s 35ms/step - loss: 0.0363 - rmse: 0.0456 - val_loss: 0.0074 - val_rmse: 0.0075\n",
 935             "Epoch 10/20\n",
 936             "50/50 [==============================] - 2s 33ms/step - loss: 0.0349 - rmse: 0.0437 - val_loss: 0.0116 - val_rmse: 0.0118\n",
 937             "Epoch 11/20\n",
 938             "50/50 [==============================] - 2s 35ms/step - loss: 0.0322 - rmse: 0.0405 - val_loss: 0.0081 - val_rmse: 0.0082\n",
 939             "Epoch 12/20\n",
 940             "50/50 [==============================] - 2s 35ms/step - loss: 0.0439 - rmse: 0.0573 - val_loss: 9.7213e-04 - val_rmse: 0.0014\n",
 941             "Epoch 13/20\n",
 942             "50/50 [==============================] - 2s 35ms/step - loss: 0.0297 - rmse: 0.0377 - val_loss: 0.0026 - val_rmse: 0.0029\n",
 943             "Epoch 14/20\n",
 944             "50/50 [==============================] - 2s 35ms/step - loss: 0.0267 - rmse: 0.0336 - val_loss: 0.0077 - val_rmse: 0.0078\n",
 945             "Epoch 15/20\n",
 946             "50/50 [==============================] - 2s 35ms/step - loss: 0.0242 - rmse: 0.0305 - val_loss: 0.0028 - val_rmse: 0.0031\n",
 947             "Epoch 16/20\n",
 948             "50/50 [==============================] - 2s 35ms/step - loss: 0.0222 - rmse: 0.0279 - val_loss: 0.0035 - val_rmse: 0.0036\n",
 949             "Epoch 17/20\n",
 950             "50/50 [==============================] - 2s 36ms/step - loss: 0.0200 - rmse: 0.0252 - val_loss: 0.0033 - val_rmse: 0.0034\n",
 951             "Epoch 18/20\n",
 952             "50/50 [==============================] - 2s 36ms/step - loss: 0.0181 - rmse: 0.0227 - val_loss: 0.0044 - val_rmse: 0.0045\n",
 953             "Epoch 19/20\n",
 954             "50/50 [==============================] - 2s 36ms/step - loss: 0.0160 - rmse: 0.0201 - val_loss: 0.0085 - val_rmse: 0.0086\n",
 955             "Epoch 20/20\n",
 956             "50/50 [==============================] - 2s 36ms/step - loss: 0.0140 - rmse: 0.0176 - val_loss: 7.0871e-04 - val_rmse: 9.2643e-04\n",
 957             "Model: \"sequential\"\n",
 958             "_________________________________________________________________\n",
 959             "Layer (type)                 Output Shape              Param #   \n",
 960             "=================================================================\n",
 961             "lstm (LSTM)                  (None, 32)                4736      \n",
 962             "_________________________________________________________________\n",
 963             "dropout (Dropout)            (None, 32)                0         \n",
 964             "_________________________________________________________________\n",
 965             "dense (Dense)                (None, 1)                 33        \n",
 966             "=================================================================\n",
 967             "Total params: 4,769\n",
 968             "Trainable params: 4,769\n",
 969             "Non-trainable params: 0\n",
 970             "_________________________________________________________________\n"
 971           ]
 972         }
 973       ]
 974     },
 975     {
 976       "cell_type": "code",
 977       "metadata": {
 978         "colab": {
 979           "base_uri": "https://localhost:8080/",
 980           "height": 281
 981         },
 982         "id": "Pgev0dgzzBVx",
 983         "outputId": "21b2a7ee-356f-4ea9-b8e7-ba034e91c36e"
 984       },
 985       "source": [
 986         "## plot train test loss \n",
 987         "\n",
 988         "def plot_loss(history , title):\n",
 989         "  loss = history.history['loss']\n",
 990         "  val_loss = history.history['val_loss']\n",
 991         "\n",
 992         "  epochs = range(len(loss))\n",
 993         "  plt.figure()\n",
 994         "  plt.plot(epochs, loss , 'b' , label = 'Train Loss')\n",
 995         "  plt.plot(epochs, val_loss , 'r' , label = 'Validation Loss')\n",
 996         "  plt.title(title)\n",
 997         "  plt.legend()\n",
 998         "  plt.grid()\n",
 999         "  plt.show()\n",
1000         "\n",
1001         "plot_loss(single_step_model_history , 'Single Step Training and validation loss')"
1002       ],
1003       "execution_count": null,
1004       "outputs": [
1005         {
1006           "output_type": "display_data",
1007           "data": {
1008             "image/png": "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\n",
1009             "text/plain": [
1010               "<Figure size 432x288 with 1 Axes>"
1011             ]
1012           },
1013           "metadata": {}
1014         }
1015       ]
1016     },
1017     {
1018       "cell_type": "code",
1019       "metadata": {
1020         "colab": {
1021           "base_uri": "https://localhost:8080/",
1022           "height": 281
1023         },
1024         "id": "EnYf6j4okEoC",
1025         "outputId": "b9f0c285-968c-4ada-828c-15f7d3a025c9"
1026       },
1027       "source": [
1028         "## plot train test loss \n",
1029         "\n",
1030         "def plot_loss(history , title):\n",
1031         "  loss = history.history['rmse']\n",
1032         "  val_loss = history.history['val_rmse']\n",
1033         "\n",
1034         "  epochs = range(len(loss))\n",
1035         "  plt.figure()\n",
1036         "  plt.plot(epochs, loss , 'b' , label = 'Train RMSE')\n",
1037         "  plt.plot(epochs, val_loss , 'r' , label = 'Validation RMSE')\n",
1038         "  plt.title(title)\n",
1039         "  plt.legend()\n",
1040         "  plt.grid()\n",
1041         "  plt.show()\n",
1042         "\n",
1043         "plot_loss(single_step_model_history , 'Single Step Training and validation loss')"
1044       ],
1045       "execution_count": null,
1046       "outputs": [
1047         {
1048           "output_type": "display_data",
1049           "data": {
1050             "image/png": "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\n",
1051             "text/plain": [
1052               "<Figure size 432x288 with 1 Axes>"
1053             ]
1054           },
1055           "metadata": {}
1056         }
1057       ]
1058     },
1059     {
1060       "cell_type": "code",
1061       "metadata": {
1062         "id": "WMegV8mNAwe_"
1063       },
1064       "source": [
1065         "### fucntion to create time steps\n",
1066         "def create_time_steps(length):\n",
1067         "  return list(range(-length,0))\n",
1068         "\n",
1069         "### function to plot time series data\n",
1070         "\n",
1071         "def plot_time_series(plot_data, delta , title):\n",
1072         "  labels = [\"History\" , 'True Future' , 'Model Predcited']\n",
1073         "  marker = ['.-' , 'rx' , 'go']\n",
1074         "  time_steps = create_time_steps(plot_data[0].shape[0])\n",
1075         "\n",
1076         "  if delta:\n",
1077         "    future = delta\n",
1078         "  else:\n",
1079         "    future = 0\n",
1080         "  plt.title(title)\n",
1081         "  for i , x in enumerate(plot_data):\n",
1082         "    if i :\n",
1083         "      plt.plot(future , plot_data[i] , marker[i], markersize = 10 , label = labels[i])\n",
1084         "    else:\n",
1085         "      plt.plot(time_steps, plot_data[i].flatten(), marker[i], label = labels[i])\n",
1086         "  plt.legend()\n",
1087         "  plt.xlim([time_steps[0], (future+5) *2])\n",
1088         "\n",
1089         "  plt.xlabel('Time_Step')\n",
1090         "  return plt"
1091       ],
1092       "execution_count": null,
1093       "outputs": []
1094     },
1095     {
1096       "cell_type": "code",
1097       "metadata": {
1098         "id": "q99i2c-9XKF3"
1099       },
1100       "source": [
1101         "### Moving window average\n",
1102         "\n",
1103         "def MWA(history):\n",
1104         "  return np.mean(history)"
1105       ],
1106       "execution_count": null,
1107       "outputs": []
1108     },
1109     {
1110       "cell_type": "code",
1111       "metadata": {
1112         "colab": {
1113           "base_uri": "https://localhost:8080/",
1114           "height": 1000
1115         },
1116         "id": "xFJT1rZDAUVL",
1117         "outputId": "b91b2190-3709-431b-bf10-226a10d5b1ce"
1118       },
1119       "source": [
1120         "# plot time series and predicted values\n",
1121         "\n",
1122         "for x, y in val_ss.take(5):\n",
1123         "  plot = plot_time_series([x[0][:, 1].numpy(), y[0].numpy(),\n",
1124         "                    single_step_model.predict(x)[0]], 12,\n",
1125         "                   'Single Step Prediction')\n",
1126         "  plot.show()"
1127       ],
1128       "execution_count": null,
1129       "outputs": [
1130         {
1131           "output_type": "display_data",
1132           "data": {
1133 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\n",
1134             "text/plain": [
1135               "<Figure size 432x288 with 1 Axes>"
1136             ]
1137           },
1138           "metadata": {}
1139         },
1140         {
1141           "output_type": "display_data",
1142           "data": {
1143 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\n",
1144             "text/plain": [
1145               "<Figure size 432x288 with 1 Axes>"
1146             ]
1147           },
1148           "metadata": {}
1149         },
1150         {
1151           "output_type": "display_data",
1152           "data": {
1153 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\n",
1154             "text/plain": [
1155               "<Figure size 432x288 with 1 Axes>"
1156             ]
1157           },
1158           "metadata": {}
1159         },
1160         {
1161           "output_type": "display_data",
1162           "data": {
1163 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\n",
1164             "text/plain": [
1165               "<Figure size 432x288 with 1 Axes>"
1166             ]
1167           },
1168           "metadata": {}
1169         },
1170         {
1171           "output_type": "display_data",
1172           "data": {
1173 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\n",
1174             "text/plain": [
1175               "<Figure size 432x288 with 1 Axes>"
1176             ]
1177           },
1178           "metadata": {}
1179         }
1180       ]
1181     },
1182     {
1183       "cell_type": "markdown",
1184       "metadata": {
1185         "id": "_KXWQVmyCSix"
1186       },
1187       "source": [
1188         "# **MultiStep Forcasting**"
1189       ]
1190     },
1191     {
1192       "cell_type": "code",
1193       "metadata": {
1194         "colab": {
1195           "base_uri": "https://localhost:8080/"
1196         },
1197         "id": "Lu7m2Rr4AbMK",
1198         "outputId": "c9d7e6dc-0bc7-47c7-d46e-b3995916a961"
1199       },
1200       "source": [
1201         "future_target = 72 # 72 future values\n",
1202         "x_train_multi, y_train_multi = mutlivariate_data(features, features[:, 1], 0,\n",
1203         "                                                 train_split, history,\n",
1204         "                                                 future_target, STEP)\n",
1205         "x_val_multi, y_val_multi = mutlivariate_data(features, features[:, 1],\n",
1206         "                                             train_split, None, history,\n",
1207         "                                             future_target, STEP)\n",
1208         "\n",
1209         "print(x_train_multi.shape)\n",
1210         "print(y_train_multi.shape)"
1211       ],
1212       "execution_count": null,
1213       "outputs": [
1214         {
1215           "output_type": "stream",
1216           "name": "stdout",
1217           "text": [
1218             "(140880, 120, 4)\n",
1219             "(140880, 72)\n"
1220           ]
1221         }
1222       ]
1223     },
1224     {
1225       "cell_type": "code",
1226       "metadata": {
1227         "id": "GLRv5D16CrHj"
1228       },
1229       "source": [
1230         "#  TF DATASET\n",
1231         "\n",
1232         "train_data_multi = tf.data.Dataset.from_tensor_slices((x_train_multi, y_train_multi))\n",
1233         "train_data_multi = train_data_multi.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
1234         "\n",
1235         "val_data_multi = tf.data.Dataset.from_tensor_slices((x_val_multi, y_val_multi))\n",
1236         "val_data_multi = val_data_multi.batch(batch_size).repeat()"
1237       ],
1238       "execution_count": null,
1239       "outputs": []
1240     },
1241     {
1242       "cell_type": "code",
1243       "metadata": {
1244         "colab": {
1245           "base_uri": "https://localhost:8080/"
1246         },
1247         "id": "fjXexah9C8yg",
1248         "outputId": "589003e9-f035-4c9b-bcf9-3377d047f0ef"
1249       },
1250       "source": [
1251         "print(train_data_multi)\n",
1252         "print(val_data_multi)"
1253       ],
1254       "execution_count": null,
1255       "outputs": [
1256         {
1257           "output_type": "stream",
1258           "name": "stdout",
1259           "text": [
1260             "<RepeatDataset shapes: ((None, 120, 4), (None, 72)), types: (tf.float64, tf.float64)>\n",
1261             "<RepeatDataset shapes: ((None, 120, 4), (None, 72)), types: (tf.float64, tf.float64)>\n"
1262           ]
1263         }
1264       ]
1265     },
1266     {
1267       "cell_type": "code",
1268       "metadata": {
1269         "colab": {
1270           "base_uri": "https://localhost:8080/",
1271           "height": 385
1272         },
1273         "id": "7mtLZ6S-DPU-",
1274         "outputId": "7d37e336-cbae-4183-95c3-421271831727"
1275       },
1276       "source": [
1277         "#plotting function\n",
1278         "def multi_step_plot(history, true_future, prediction):\n",
1279         "  plt.figure(figsize=(12, 6))\n",
1280         "  num_in = create_time_steps(len(history))\n",
1281         "  num_out = len(true_future)\n",
1282         "  plt.grid()\n",
1283         "  plt.plot(num_in, np.array(history[:, 1]), label='History')\n",
1284         "  plt.plot(np.arange(num_out)/STEP, np.array(true_future), 'bo',\n",
1285         "           label='True Future')\n",
1286         "  if prediction.any():\n",
1287         "    plt.plot(np.arange(num_out)/STEP, np.array(prediction), 'ro',\n",
1288         "             label='Predicted Future')\n",
1289         "  plt.legend(loc='upper left')\n",
1290         "  plt.show()\n",
1291         "  \n",
1292         "\n",
1293         "\n",
1294         "for x, y in train_data_multi.take(1):\n",
1295         "  multi_step_plot(x[0], y[0], np.array([0]))"
1296       ],
1297       "execution_count": null,
1298       "outputs": [
1299         {
1300           "output_type": "display_data",
1301           "data": {
1302             "image/png": "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\n",
1303             "text/plain": [
1304               "<Figure size 864x432 with 1 Axes>"
1305             ]
1306           },
1307           "metadata": {}
1308         }
1309       ]
1310     },
1311     {
1312       "cell_type": "code",
1313       "metadata": {
1314         "colab": {
1315           "base_uri": "https://localhost:8080/"
1316         },
1317         "id": "snN_Flr5DWQN",
1318         "outputId": "3c40a98f-b700-41e7-bc8e-36454edaf950"
1319       },
1320       "source": [
1321         "multi_step_model = tf.keras.models.Sequential()\n",
1322         "multi_step_model.add(tf.keras.layers.LSTM(32,\n",
1323         "                                          return_sequences=True,\n",
1324         "                                          input_shape=x_train_multi.shape[-2:]))\n",
1325         "multi_step_model.add(tf.keras.layers.LSTM(16, activation='relu'))\n",
1326         "#aDD dropout layer (0.3)\n",
1327         "multi_step_model.add(tf.keras.layers.Dense(72)) # for 72 outputs\n",
1328         "\n",
1329         "multi_step_model.compile(optimizer=tf.keras.optimizers.RMSprop(clipvalue=1.0), loss='mae',metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
1330         "\n",
1331         "multi_step_history = multi_step_model.fit(train_data_multi, epochs=EPOCHS,\n",
1332         "                                          steps_per_epoch=steps,\n",
1333         "                                          validation_data=val_data_multi,\n",
1334         "                                          validation_steps=50)"
1335       ],
1336       "execution_count": null,
1337       "outputs": [
1338         {
1339           "output_type": "stream",
1340           "name": "stdout",
1341           "text": [
1342             "WARNING:tensorflow:Layer lstm_2 will not use cuDNN kernels since it doesn't meet the criteria. It will use a generic GPU kernel as fallback when running on GPU.\n",
1343             "Epoch 1/20\n",
1344             "50/50 [==============================] - 24s 409ms/step - loss: 0.3414 - rmse: 0.4277 - val_loss: 0.1861 - val_rmse: 0.2886\n",
1345             "Epoch 2/20\n",
1346             "50/50 [==============================] - 20s 400ms/step - loss: 0.1268 - rmse: 0.2198 - val_loss: 0.0671 - val_rmse: 0.1290\n",
1347             "Epoch 3/20\n",
1348             "50/50 [==============================] - 19s 384ms/step - loss: 0.0474 - rmse: 0.0985 - val_loss: 0.0481 - val_rmse: 0.0667\n",
1349             "Epoch 4/20\n",
1350             "50/50 [==============================] - 19s 388ms/step - loss: 0.0288 - rmse: 0.0438 - val_loss: 0.0330 - val_rmse: 0.0363\n",
1351             "Epoch 5/20\n",
1352             "50/50 [==============================] - 19s 386ms/step - loss: 0.0228 - rmse: 0.0275 - val_loss: 0.0358 - val_rmse: 0.0367\n",
1353             "Epoch 6/20\n",
1354             "50/50 [==============================] - 20s 393ms/step - loss: 0.0210 - rmse: 0.0251 - val_loss: 0.0314 - val_rmse: 0.0319\n",
1355             "Epoch 7/20\n",
1356             "50/50 [==============================] - 19s 380ms/step - loss: 0.0198 - rmse: 0.0234 - val_loss: 0.0297 - val_rmse: 0.0307\n",
1357             "Epoch 8/20\n",
1358             "50/50 [==============================] - 19s 375ms/step - loss: 0.0187 - rmse: 0.0224 - val_loss: 0.0242 - val_rmse: 0.0263\n",
1359             "Epoch 9/20\n",
1360             "50/50 [==============================] - 19s 388ms/step - loss: 0.0179 - rmse: 0.0211 - val_loss: 0.0238 - val_rmse: 0.0248\n",
1361             "Epoch 10/20\n",
1362             "50/50 [==============================] - 19s 388ms/step - loss: 0.0171 - rmse: 0.0198 - val_loss: 0.0231 - val_rmse: 0.0240\n",
1363             "Epoch 11/20\n",
1364             "50/50 [==============================] - 20s 397ms/step - loss: 0.0163 - rmse: 0.0189 - val_loss: 0.0237 - val_rmse: 0.0245\n",
1365             "Epoch 12/20\n",
1366             "50/50 [==============================] - 19s 387ms/step - loss: 0.0187 - rmse: 0.0226 - val_loss: 0.0082 - val_rmse: 0.0103\n",
1367             "Epoch 13/20\n",
1368             "50/50 [==============================] - 19s 379ms/step - loss: 0.0154 - rmse: 0.0181 - val_loss: 0.0078 - val_rmse: 0.0094\n",
1369             "Epoch 14/20\n",
1370             "50/50 [==============================] - 19s 383ms/step - loss: 0.0148 - rmse: 0.0175 - val_loss: 0.0050 - val_rmse: 0.0064\n",
1371             "Epoch 15/20\n",
1372             "50/50 [==============================] - 19s 378ms/step - loss: 0.0136 - rmse: 0.0164 - val_loss: 0.0052 - val_rmse: 0.0060\n",
1373             "Epoch 16/20\n",
1374             "50/50 [==============================] - 19s 381ms/step - loss: 0.0138 - rmse: 0.0168 - val_loss: 0.0067 - val_rmse: 0.0081\n",
1375             "Epoch 17/20\n",
1376             "50/50 [==============================] - 19s 382ms/step - loss: 0.0135 - rmse: 0.0160 - val_loss: 0.0059 - val_rmse: 0.0070\n",
1377             "Epoch 18/20\n",
1378             "50/50 [==============================] - 19s 381ms/step - loss: 0.0133 - rmse: 0.0160 - val_loss: 0.0035 - val_rmse: 0.0041\n",
1379             "Epoch 19/20\n",
1380             "50/50 [==============================] - 19s 387ms/step - loss: 0.0128 - rmse: 0.0155 - val_loss: 0.0097 - val_rmse: 0.0117\n",
1381             "Epoch 20/20\n",
1382             "50/50 [==============================] - 19s 384ms/step - loss: 0.0128 - rmse: 0.0152 - val_loss: 0.0044 - val_rmse: 0.0051\n"
1383           ]
1384         }
1385       ]
1386     },
1387     {
1388       "cell_type": "code",
1389       "metadata": {
1390         "colab": {
1391           "base_uri": "https://localhost:8080/",
1392           "height": 281
1393         },
1394         "id": "Ay5m27doDsTt",
1395         "outputId": "b8ae8544-0723-4816-b0c7-4ad689b10506"
1396       },
1397       "source": [
1398         "plot_loss(multi_step_history, 'Multi-Step Training and validation loss')"
1399       ],
1400       "execution_count": null,
1401       "outputs": [
1402         {
1403           "output_type": "display_data",
1404           "data": {
1405             "image/png": "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\n",
1406             "text/plain": [
1407               "<Figure size 432x288 with 1 Axes>"
1408             ]
1409           },
1410           "metadata": {}
1411         }
1412       ]
1413     },
1414     {
1415       "cell_type": "code",
1416       "metadata": {
1417         "colab": {
1418           "base_uri": "https://localhost:8080/",
1419           "height": 1000
1420         },
1421         "id": "6ZFP49W4D2wp",
1422         "outputId": "faebe156-06e4-4b1d-fa8e-e6fbe45d95b5"
1423       },
1424       "source": [
1425         "for x, y in val_data_multi.take(5):\n",
1426         "  multi_step_plot(x[0], y[0], multi_step_model.predict(x)[0])"
1427       ],
1428       "execution_count": null,
1429       "outputs": [
1430         {
1431           "output_type": "display_data",
1432           "data": {
1433 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\n",
1434             "text/plain": [
1435               "<Figure size 864x432 with 1 Axes>"
1436             ]
1437           },
1438           "metadata": {}
1439         },
1440         {
1441           "output_type": "display_data",
1442           "data": {
1443 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\n",
1444             "text/plain": [
1445               "<Figure size 864x432 with 1 Axes>"
1446             ]
1447           },
1448           "metadata": {}
1449         },
1450         {
1451           "output_type": "display_data",
1452           "data": {
1453 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\n",
1454             "text/plain": [
1455               "<Figure size 864x432 with 1 Axes>"
1456             ]
1457           },
1458           "metadata": {}
1459         },
1460         {
1461           "output_type": "display_data",
1462           "data": {
1463 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\n",
1464             "text/plain": [
1465               "<Figure size 864x432 with 1 Axes>"
1466             ]
1467           },
1468           "metadata": {}
1469         },
1470         {
1471           "output_type": "display_data",
1472           "data": {
1473 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\n",
1474             "text/plain": [
1475               "<Figure size 864x432 with 1 Axes>"
1476             ]
1477           },
1478           "metadata": {}
1479         }
1480       ]
1481     },
1482     {
1483       "cell_type": "code",
1484       "metadata": {
1485         "id": "DNKMjVoAVqZP",
1486         "colab": {
1487           "base_uri": "https://localhost:8080/"
1488         },
1489         "outputId": "099fdbb3-cc5c-4831-b140-9732b75ff81d"
1490       },
1491       "source": [
1492         "scores = multi_step_model.evaluate(x_train_multi, y_train_multi, verbose=1, batch_size=200)\n",
1493         "print('MAE: {}'.format(scores[1]))"
1494       ],
1495       "execution_count": null,
1496       "outputs": [
1497         {
1498           "output_type": "stream",
1499           "name": "stdout",
1500           "text": [
1501             "705/705 [==============================] - 22s 30ms/step - loss: 0.0048 - rmse: 0.0058\n",
1502             "MAE: 0.005751027259975672\n"
1503           ]
1504         }
1505       ]
1506     },
1507     {
1508       "cell_type": "code",
1509       "metadata": {
1510         "id": "oDXXSFLy07gH",
1511         "colab": {
1512           "base_uri": "https://localhost:8080/"
1513         },
1514         "outputId": "6152b870-f63b-4142-9ec3-c774ed9b481c"
1515       },
1516       "source": [
1517         "scores_test = multi_step_model.evaluate(x_val_multi, y_val_multi, verbose=1, batch_size=200)\n",
1518         "print('MAE: {}'.format(scores[1]))\n"
1519       ],
1520       "execution_count": null,
1521       "outputs": [
1522         {
1523           "output_type": "stream",
1524           "name": "stdout",
1525           "text": [
1526             "174/174 [==============================] - 5s 31ms/step - loss: 0.0043 - rmse: 0.0052\n",
1527             "MAE: 0.005751027259975672\n"
1528           ]
1529         }
1530       ]
1531     }
1532   ]
1533 }