Models: All models related to FP
[thoth.git] / models / failure_prediction / jnotebooks / CNN.ipynb
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+{
+  "nbformat": 4,
+  "nbformat_minor": 0,
+  "metadata": {
+    "colab": {
+      "name": "CNN.ipynb",
+      "provenance": [],
+      "collapsed_sections": []
+    },
+    "kernelspec": {
+      "display_name": "Python 3",
+      "name": "python3"
+    },
+    "language_info": {
+      "name": "python"
+    }
+  },
+  "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "ywp6YMCFQKEQ"
+      },
+      "source": [
+        "Contributors: **Rohit Singh Rathaur, Girish L.** \n",
+        "\n",
+        "Copyright [2021](2021) [*Rohit Singh Rathaur, BIT Mesra and Girish L., CIT GUBBI, Karnataka*]\n",
+        "\n",
+        "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+        "you may not use this file except in compliance with the License.\n",
+        "You may obtain a copy of the License at\n",
+        "\n",
+        "    http://www.apache.org/licenses/LICENSE-2.0\n",
+        "\n",
+        "Unless required by applicable law or agreed to in writing, software\n",
+        "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+        "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+        "See the License for the specific language governing permissions and\n",
+        "limitations under the License."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "YQ6lT1e2hrx4",
+        "outputId": "21d3bdb5-0ac2-44a6-90ec-a3f2677014c4"
+      },
+      "source": [
+        "from google.colab import drive\n",
+        "drive.mount('/content/drive')"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "tLhroy5BnMnC"
+      },
+      "source": [
+        "# Importing libraries\n",
+        "import tensorflow as tf\n",
+        "import matplotlib.pyplot as plt\n",
+        "import matplotlib as mpl\n",
+        "import pandas as pd\n",
+        "import numpy as np\n",
+        "import os"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 419
+        },
+        "id": "2-UpMVsSnfCI",
+        "outputId": "b6f5691d-1e76-43a4-de55-3156dbc02b4d"
+      },
+      "source": [
+        "df_Ellis  = pd.read_csv(\"/content/drive/MyDrive/Failure/lstm/Ellis_FinalTwoConditionwithOR.csv\")\n",
+        "df_Ellis"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/html": [
+              "<div>\n",
+              "<style scoped>\n",
+              "    .dataframe tbody tr th:only-of-type {\n",
+              "        vertical-align: middle;\n",
+              "    }\n",
+              "\n",
+              "    .dataframe tbody tr th {\n",
+              "        vertical-align: top;\n",
+              "    }\n",
+              "\n",
+              "    .dataframe thead th {\n",
+              "        text-align: right;\n",
+              "    }\n",
+              "</style>\n",
+              "<table border=\"1\" class=\"dataframe\">\n",
+              "  <thead>\n",
+              "    <tr style=\"text-align: right;\">\n",
+              "      <th></th>\n",
+              "      <th>Timestamp</th>\n",
+              "      <th>ellis-cpu.system_perc</th>\n",
+              "      <th>ellis-cpu.wait_perc</th>\n",
+              "      <th>ellis-load.avg_1_min</th>\n",
+              "      <th>ellis-mem.free_mb</th>\n",
+              "      <th>ellis-net.in_bytes_sec</th>\n",
+              "      <th>ellis-net.out_packets_sec</th>\n",
+              "      <th>Label</th>\n",
+              "    </tr>\n",
+              "  </thead>\n",
+              "  <tbody>\n",
+              "    <tr>\n",
+              "      <th>0</th>\n",
+              "      <td>14-09-2016 0:00</td>\n",
+              "      <td>0.5</td>\n",
+              "      <td>12.9</td>\n",
+              "      <td>1.730</td>\n",
+              "      <td>3949</td>\n",
+              "      <td>5413.200</td>\n",
+              "      <td>62.067</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>1</th>\n",
+              "      <td>14-09-2016 0:00</td>\n",
+              "      <td>0.4</td>\n",
+              "      <td>10.3</td>\n",
+              "      <td>1.790</td>\n",
+              "      <td>3950</td>\n",
+              "      <td>5201.667</td>\n",
+              "      <td>59.567</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>2</th>\n",
+              "      <td>14-09-2016 0:01</td>\n",
+              "      <td>0.4</td>\n",
+              "      <td>11.8</td>\n",
+              "      <td>1.520</td>\n",
+              "      <td>3950</td>\n",
+              "      <td>5370.733</td>\n",
+              "      <td>61.200</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>3</th>\n",
+              "      <td>14-09-2016 0:01</td>\n",
+              "      <td>0.4</td>\n",
+              "      <td>12.9</td>\n",
+              "      <td>1.430</td>\n",
+              "      <td>3949</td>\n",
+              "      <td>5292.467</td>\n",
+              "      <td>60.400</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>4</th>\n",
+              "      <td>14-09-2016 0:02</td>\n",
+              "      <td>0.5</td>\n",
+              "      <td>12.1</td>\n",
+              "      <td>1.440</td>\n",
+              "      <td>3950</td>\n",
+              "      <td>5318.167</td>\n",
+              "      <td>61.700</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>...</th>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "      <td>...</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>176995</th>\n",
+              "      <td>13-12-2016 21:20</td>\n",
+              "      <td>0.4</td>\n",
+              "      <td>0.3</td>\n",
+              "      <td>0.030</td>\n",
+              "      <td>3484</td>\n",
+              "      <td>230.967</td>\n",
+              "      <td>2.167</td>\n",
+              "      <td>0</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>176996</th>\n",
+              "      <td>13-12-2016 21:20</td>\n",
+              "      <td>0.2</td>\n",
+              "      <td>0.3</td>\n",
+              "      <td>0.018</td>\n",
+              "      <td>3484</td>\n",
+              "      <td>218.433</td>\n",
+              "      <td>0.767</td>\n",
+              "      <td>0</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>176997</th>\n",
+              "      <td>13-12-2016 21:21</td>\n",
+              "      <td>0.6</td>\n",
+              "      <td>0.3</td>\n",
+              "      <td>0.010</td>\n",
+              "      <td>3483</td>\n",
+              "      <td>160.967</td>\n",
+              "      <td>1.867</td>\n",
+              "      <td>0</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>176998</th>\n",
+              "      <td>13-12-2016 21:21</td>\n",
+              "      <td>0.6</td>\n",
+              "      <td>0.3</td>\n",
+              "      <td>0.007</td>\n",
+              "      <td>3484</td>\n",
+              "      <td>188.367</td>\n",
+              "      <td>2.100</td>\n",
+              "      <td>0</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>176999</th>\n",
+              "      <td>13-12-2016 21:22</td>\n",
+              "      <td>0.4</td>\n",
+              "      <td>0.1</td>\n",
+              "      <td>0.040</td>\n",
+              "      <td>3484</td>\n",
+              "      <td>229.833</td>\n",
+              "      <td>2.400</td>\n",
+              "      <td>0</td>\n",
+              "    </tr>\n",
+              "  </tbody>\n",
+              "</table>\n",
+              "<p>177000 rows × 8 columns</p>\n",
+              "</div>"
+            ],
+            "text/plain": [
+              "               Timestamp  ...  Label\n",
+              "0        14-09-2016 0:00  ...      1\n",
+              "1        14-09-2016 0:00  ...      1\n",
+              "2        14-09-2016 0:01  ...      1\n",
+              "3        14-09-2016 0:01  ...      1\n",
+              "4        14-09-2016 0:02  ...      1\n",
+              "...                  ...  ...    ...\n",
+              "176995  13-12-2016 21:20  ...      0\n",
+              "176996  13-12-2016 21:20  ...      0\n",
+              "176997  13-12-2016 21:21  ...      0\n",
+              "176998  13-12-2016 21:21  ...      0\n",
+              "176999  13-12-2016 21:22  ...      0\n",
+              "\n",
+              "[177000 rows x 8 columns]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 35
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 293
+        },
+        "id": "92xBt43BnjAo",
+        "outputId": "ed2f1595-c32c-43eb-ae2f-b5fce96e9a92"
+      },
+      "source": [
+        "df_Ellis.plot()"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5b0e04f8d0>"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 36
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 879
+        },
+        "id": "RSo-aa-SIoBR",
+        "outputId": "63f0c61a-8a5a-41af-cbec-42fe0625b4d1"
+      },
+      "source": [
+        "# we show here the hist\n",
+        "df_Ellis.hist(bins=100,figsize=(20,15))\n",
+        "#save_fig(\"attribute_histogram_plots\")\n",
+        "plt.show()"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 1440x1080 with 9 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 634
+        },
+        "id": "gggaMJ_2LtFs",
+        "outputId": "31ad3663-dfe7-4ac5-ddc1-bb5bd6e5bdfd"
+      },
+      "source": [
+        "cpu_system_perc = df_Ellis[['ellis-cpu.system_perc']] \n",
+        "cpu_system_perc.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
+        "plt.xlabel('Timestamp', fontsize=30);"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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iIiIp1i4oeIiIiIiIiISKeY+CEiIooRCWoHQEREREQxh4kfIiIiIiIiIiKdYuKHiIiIiIiIiEinmPghIiIiIiIiItIpJn6IiIiIiIiIiHSKiR8iIqIYkcDqzkREREQkEhM/REREREREREQ6xcQPEVGcsLs8aodAREREREQKS1I7ACIiklduYzfu+zrX+/iT287EWceOUTEiilQCONaLiIiIAEFQOwKKJezxQ0SkcwOTPgAwZ2lugCWJiIiIiEhvmPgh0iFBEHCgzoCvshpR3m5WOxxSkSfA7SCXm8O+iIiIiIjiAYd6EenQx3tq8WlGHQAgMQF48fpTcemJ6SpHRVri8ghISlQ7CiIiIiIikht7/BDpjNPtwZeZDd7HbgFYfLAhyCuIiIhiW6fFgRd/LMdDK/KxMq9Z7XCIiIg0hT1+iAYQBAGLDzbgu/wWpI0Yigcunopzjh2rdliilLaZYXMOHsaT22RSKRrSqsQhLBIck/i1EfkQBAF/WZGPsnYLACCjxoAEADedMUndwIiIiDSCPX6IBthU2o63d1SjzmBDbpMJf11RAFOvU+2wiCTH/AER6UVxq9mb9On32tZKlaIhIlIGJ/UiMZj4IRrg1S2DG4q9Lg9WF7SqFA0RERGFUtDc4/Oc3cUC9kRERP041ItoAIPNt3dPHodJUQwLMKkXERGRbgmCgF1VXajpsmL2lDTMPGqk2iEREamKiR8iojjEfBAREenVm9ursCSzEQCQOKQGr954Ki6aPl7lqIiI1MOhXkQ6wx4eRPrF2kxERMFZHW5v0gcA3B4BC/fXqxgREZH6mPghIiKKEaZel9ohEBFpWnZjt5/nOGyfiOIbEz9EREEIgoB6gw0tpl61QyFCh8WhdghERKQQQRDQYGQbhPzzsJs/icAaP0Q6k8CxIJJxuDx47Pti7KjsBABcf9pE/Oeqk5A4hB8yERERycfp9uCxNcXYfqgNct1pEzGPbRAaYHdVF6aOS1E7DIoR7PFDmlLbZcXC/fX4vrAFvU632uFQnNtS3uFN+gDAmsJWZDf4diHXMt4LIiL908+RrsFow6ID9Vhd0AKrg+2geLa1vMOb9AGA7wtbkVlvVDEi0po3t1epHQLFEPb4Ic0obTPj/qW5sBxq6KwtbMV7t5yBIezCIgp7fUrnuY1lPs+9s7MaX/zv2SpEQ0REelbVacGcr3O9tbxW57fgw9vORBJ7eMSl5zeV+zz39o5qLL4rTYVoiCjWsccPacY3OU3epA8AHKzvRnGrWcWIKN71ujw+z7X22FWIRHpMEMamo0cNUzsEIpLJytzmQQXcc5tMyGuKrV6mJB2Lnx5femmDEJHymPghzViV3+Lz3PKcJhUiISLSppHD2FGXSK+WZvu2eb4aMC05ERFRpJj4ISIiIiIiIiLSKSZ+iIiIiIiIiIh0iokfohBYUpFiGov5EJHu8UxN8YF7OhFFiokfohB42UwDsdFFRKQ1PFMTEREFw8QPEZEIvLwgNQncA4mIiIhIJCZ+iIjiENMHRERERETxgfPCEhFRSB5BQEW7BUOGJOCE8SlISOCgNyIiIiKiWMDEDxERBWV3efCP7wqRUWsAAFw6YzxeuO4UJCWy0ygREZFSeM+FiCLFVjtRCLF2juUQHhpIiv1hW3mHN+kDANsqOrGv1ijBmomIiIiISG5M/BCFwEQKDRRriUApPLepzOe517dVqhAJERERERGJxcQPEZEI8ZgItDk9Ps91WhwqRKINgiDAI6izJ6i0WSJN4++CBorHGzRERKGwxg+RzrDBQ3pmtrvgcgsYmzJUle2vKWjBh7trYHd5cOvZkzHnwiksdE1EREREmsbEDxFRHBKivEWudK5DEAS8t6sGiw/Uwy0A1556FB6/eiaShigXSE2nFU9vODzs7ZO9dZh51EhcMiNdsRiIiIiU1mzqRb3BhlmTR2PE0ES1wyGiCHCoF5HOsMc76VFBcw++2N+X9AGAdUVt2FzarmgMXxyo93nu9W1VisZARESkpCWZDbjhk/348/J8/OrT/ajptKodEhFFgIkfohA4iINimV5qX3y4u8bnuZc2VygaQ36Tyee5pu5eRWMgIiJSSq/TjXd3Vnsfd1md+Hx/nYoREVGkmPghTdPJNSvpCBOBfRIU/iRqDTaf53rsLkVjICIiiic7KjvhdA9uja8ralMpGiKKBhM/RCEw+UTkS1D4lxFtTSIpGG1OtUMgIj9YX51IHr0u31k9iSg2MfFDmsa2HGmN+ukHUkt3L3sYERGRejiLJBFFiokfIiISTemhXky4EVEgGugQSEREpGlM/BARERERERER6RQTP0REIsRaJ2u93AjnHX0iIiIiosgw8UMUQqxd6BMpQekyA8z7EBERERFFhokfIiIiIiIiIiKdYuKHNE0Ld/m1EIMYWpj2moiIiEgNbAUREfli4ocozpntLuyu7kJFu0XtUGICG5SkJu5/RERERCRWktoBEAXD+jryqmi34I6Fmd7Hf75oKn53/vEqRtSnot2CvTVdOHbsCPzshPFIHCLtnuD2CNhe2YlGow0/mTYOJ6SnSrr+WMAEAhHpBY9nREREwTHxQxTHfrcke9DjTzPqcNs5x2DE0ESVIgL21Rrwt5UFcHn6mvI3zjoa8646SdJtPLOxDGsLWwEAH+6uwdu/mYVzjxsb1mtjLRkp19C/WPsciIiIYh3PvZHxCAK+y2tGYUsPzjxmDK4/bSISlJ6lgkhlTPwQhaD100KH2Y4PdtegwdiLS2aMx2lHjwr7tXaXx+dxZr0RF00fL3WYYVt8sMGb9AGAVfktePDiaRg7Yqgk6++0OLxJHwBwuAUsOtAQduKHiIhIKbw4FY+fGB3pzW1V+CqrEQCwuqAVLaZe/OEnU9UNikhhrPFDFMMEQcBfVhZgdUErshq68ca2KizLbopqnUUtPRJFF5mMGoPPc3uquyRb/4aSNp/ndku4fiIiIiLSBrdH8CZ9+n2yt06laIjUw8QPUQwraTOj/IiizBtL26Nap95PhtsqOtUOgSR0wes7UNtlVTsMilEutwclrT0w211qh0JR0HMPD87USRQdm9OtdghEmsDED1EIWm5ylbSaZVmv1aHfk2R2Q7faIZCE3ALwzIYytcNQjpYPSDGmtsuKGz/dj7sWZ+OK9/diU5RJcyIiIiKtYuKHNI3XOMFJPNmVl7/hUGo6sleTP+1mO77KasSy7CYYrA4FourT4d1uI7oU3C4dlttk4l1xEu2D3TVoM/f9Zt0eAS/+WA63h/sREWkXSz6Jx8+MqA+LOxOhr67N6oIWtcMQLUGmDu4tPXZZ1hupxQcb8NdLpgf8f4fFgXuX5HjjXprdiM/vPAujh0tTEDqQTosD936Vg2ZT/3abFNmuFPSWJxGg7+EeJL3NZR2DHpt6XchrMuHsY8eoFBFFSmeHMyKSkFxtZaJYw8QPxb2qTgv+uCwXNqfH7/+1droQBAGLDzZga3kH8ptlKsQcY1mBDcVtg5JVdQYbtlV04obTj5Z3uyVt3qRP/3a3lnfgxlmTZN2uFJ5aX4o2sx0XTx+P351/HIbE+C0xgZkfkoDdpd9hrkRE8SjGmzdEkmHihzRNiWP1suymgEkfLfoqqxFv76iOej1Od+D3HFtpH+DN7VW+z22rkj3x88Y23+2+vrVKdOJHEAR021wYm6JcT6Et5X29HQqae5CQANxz/vGiXi/nFMNGmxNPry9FTqMJpx09Ck9cc1LI1wh+Mj+CIKDWYMPxaSMCJrZ4J5Aoepn1Rry+tRIdFgd+ccpE/OWSaTGfTNYKTudOFJ1AvyCXR0CSXDUTwmTqdSIlOUn1OCg+MPFDcW9FbrPaIYjiL9kQiZ1Vgacw10OZCyFG0lcFzSbMXV2EdrMDJ05IxRs3nY6Jo4YpGsP7u2pEJ37k9NzGMu/+mVFrwBPrSkK+5shve29NF/6yosD7+N9XnhjgdbGxn1B4BEFAncEGtyBg2rgU0RfN3BvEszhc+NvKAvS6+m4mfJnZgMljhuPWsyerHBkRUWB2lxtJyUmwOd0oazPjhPRUjBymzKWx1eHGo2uKsLfGgJHDEvHYFSfiqpOPUmTbFL9Y3JkoBL1eCASb3SrGRnrFtMfXlaD9UIHZ8nYLXttaqXJE6ttW0Tno8cH67pBDcI7cZwcmfQDg+U3lksRG2uXyCPjHqiLc/PlB3LYgE/cvzYXdJa43Z1Y9Z/0Ta31xmzfp0++VLRUqRUOkb+wXIl6gGwCCAOQ1mfCLDzNw39e5uPqDvdhTHfimqJQWHajH3hoDAMBsd+PxdSWwOFyKbJviFxM/RORH7Gd+5EpeSdnrvs5gQ4Oxd9BzW8s7AiytLUo3Pp3u4F/owP+2aaw4uZTYQymwnZWd2FF5OGmY3WjC94XiivY3m3pDL0SDhDPrYqyo7LDgk721WJnbxIswojjw1vYqWBx9N5YcbkGxm2+fZtQNeuwRgHVF2ppRl/SHQ72I4lSw6a+13OOnxdSLJZmN6O514penTsTsKWmKbl/Kz0aJCwu5vkqt7SID92ebkwV649Hc1UU+z734YwV+cyaHHFFoxa09uH/p4Yke1hW14aPbzkQia28Q6VJ/j5+B6gw2dNucGDNC+dlZcxq6cctZPF+RfNjjhzRNCxeX8djk02qNn16nG/cvzcVXWY1YV9SGv6wsCDpkjfRDzJAdFpVVRrDkcazivhO/vspsHDTRQ26TCQXNpiCvUIYef2cUQ3S8+wXqQetR6Te3sbRdle1S/GDih0jDOsx2uGXKwgQ7r5kdLk12c99e0YmmAdOnuz0CPsuoVTEiX2KG4kjVtjDblf++tHZ5PPBnoudrdy3MQpbb2I07vsjEz9/dg2c3lAWdIZBICVIcSn8o9h1m8V2+uKGCRGpyeQR0WBxqhxEzmFOleMOhXkQa1GFx4OGVBShpM2PUsCQ8+8uT8ZNp4yTdhjXIcJhV+S34vrAVd55zDB762TTNTCfr727Ivlqj32Vj4YQe7Z1cjyDg1S2VWJHbhISEBNx+9jH46yXa+b6UNDDhFodvXzFOtwcPf1uIHntfonFVQQuOHj0M9104ReXIpMFRPaQ18Xg8J/G2V3TgyR9KYXG4MWvSKLz+q9MxNkW+4UqCIMT8vhloGGcMNB8H+XRvrW7OwSQv9vgh0qD3d1ajpM0MAOixu/DEuhLJe/6Y7cF7iLg9AhYdbEAWh1LJJtpvdHdVF77JaYJH6Pu+vsxsQKZCsxJprb03MIfG4Try2VnZ6U369Ptoj7Z63UWF+05M4rdG8czh8mDe2hJvkeL85h58vFfe43KsJUf8GZqoj8vgj/bUorTVrHYYFAP0sceTbmmhMafGyW1NYeugx929Lhys99+zJVLhXhx/sKtG0u0qxd+QqxYJZuyR8row2l5Jf/+u0Oe5d3dWR7dSHdDCcUOv6o36nvWK+w4RaZ0gCNhY0oY3t1Vhe0UndlV3ofeIOnjf5DSpFB2p4bN9daEXorjHoV5EEjFYHViwvx7NJjsuPzEdV59ylKTrn7e2BJseuFCy9YU7pKGq0+r3eUEQsCK3GRk1BkxPT8E95x+PEUMTJYsv0DajcWTDSG3RvJtAU5YXtfQM3oYebsuFQRhU40e/l+/BakgJgoBV+S3YXd2FKeNS8LvZx2HksPg5zY8aluTTG0ksDvUST8pjTIupF4sONKDL6sAvTp2In50wXrqVR0ALu8ORx3QKTcenAADAh7trMH9fPQDgy8wGjJVxBqpA5xxBgDZ+IDKIxbdVZ/DfVicaKH5ahER+hFO5/8gTgNsj+IwLFgQBD60oQOmh4VlbyzvggYBfnDJRqlBhtDlDDs8SI9yL40CLLTzQ4O1dsr2yExXtFrx+0+lShScLKU7mYi9y3B4BQxL8f96RJrJcHgF/+ibP7//iJM/jY1CNHxXjUNOy7Ca8urXy0KNOFLf04L1bzpB0G1qeYUhMYfVAtFA8O145XB7cvywPTd19vco2l3Xgrd+cjgunSlvfLta0BkjyU3zyCPAmffoZbU7F49DumSB81gCTYujhvRH5w6FeFNcO1IU/fMrtEfDK5gpc/t4e3PjJPmwr7/D+r7Clx5v06ffezhqpwvQ6chvRiPb67cghRTurutBllXc2iWh7ckjREyTcacUFQcC7O6tx5ft7cZeCTsIAACAASURBVN3H+7CuqDX0i8K0r8aAOoNNsvVpSaSJBYP1cMNXTK+Nga+Lda95kz599tcZ0SzB8EYKT4upN+zjA/naVd3lTfoAfRdfH+7WUf0oIglE26uRDitvt0i2rg6LQ9Kbs0RyYOKHNE3urPtnIorffZffjGU5TbA43Ggy2fHP1UUwHrpozPJTUFfrd+mKWkxhLScmVVLXJU8yoj8GMUkBf4tKMYyjx+7C6iBT/PZvd1NpO77YX48euwttZgf++0MpGow2v8uKtae6K7IX6ljjgAtGMQm+b/NCT9fs8gh4fF1JRHEpyd/uJGXDVisEQUBVpwWZ9UY4JE60RJIbNvU68b8LM3H9J/tx0Vu78H0hpwAH+o6BYuyo6PB5LtxhTrxDT/FCM70utRKHyhwuD+auLsIvPszAFe/vxSd6muyAdIeJH4pr2Y3hJT8A4MUfK3ye+3x/XzG17l5lsvzRnmcr2i1Ylt2I7IZuNJm0nZjSsuc2lcHUG7ynyKtbBve+EAAsyWz0eS4S3SG2HY/SBkxbWx2gLpU/+2sNIZfZXNqO9cVtEcWlN2L32bYeO1bmNWN7RQec7uiTNIIg4KXNFbhtQSb+uCwP/7coC50W6XoaRjIj3Is/VqBsQILtqfVlsAQYQhBPnlpfKq4HlAYLs2glpFDnGxLPaHViTUELNpW2w3poNqxYoHS6JVC7k2mfPmuLWrH10AgAt0fAx3trUaHDGy6kD6zxQ7pW0WHB+uI2pCYn4vrTj0Z6arKk61+S2YiHLz0Bawq0f4d3W3kHHl1TBLeMZ2stNQT8FXKWqhHvEYDvC/0P3erfhsHPmPvi1iMKLwf4xJq6ezF5zPCA299QEv6ddCnqnijJE2G4aQOKW35xoD7IkuK98GO5pOuLFzWdVsxZmuutP/GzE8bj1RtPjWrIZW2XDStym72Pq7usWJnXjDkXTlHtBrS/ni2LDzTg/p9OVT4YDbG7PNhe0YGrTg5vogON5FgCauruxfeFLfAIwHWnTcSxY0cotu1epwejA58SSKQOiwP3fZXj7Sk6a9IovH/LGRgu8wQVFBscLg+WZTeiwdiLn50wHv9z/NhB//cIAh75rhC7qvz3vl6wvw7P/vIUJUIlEoWJH9Ktqk4L7vsqB5ZDd3K+L2zF4rvOkWXmKX8X+XKI5iJ+4YF6WZM+QHjFsiMh1VqlLNzaJUFtmEAf142f7sf6P16A8RInKsPV2mPH5/vq0Npjx9VhXrRJpaoz+jtlA+uEhBLOvmXR0N1gsT8xNXvjf5vfPKjo6I7KTlR2WDFjQmrE61x00Dep9/GeWsy5cErE6xxIquTw/H11cZ/4AQCTiN6wWk78dFocmPN1DtrMfb3Lvs1rxsL/OwcTRw2TbBu5jb5DxkkeG0vaBg0Pzm/uQWZ9N346Pb4LiYuh55Fej64pRuGhYaZfZzXilRtPxSUz0r3/P//1nUFf39TNHvWkTRzqRZoWaUPQIwi4bUHmoAu2OoMNOys7pQlMQoIgwBXmEIhoTrT5zfJPCeuSKbN0/WnSzY6mJjHf34PL833G8jtcHry6xXfIoZTcHgEPfJOHFbnN2FXVFbC2jZRTpg8cAuSMcB8SAHyWUYtbPj8gqvC1Zuol6NCRQxsB4I6FmZi7uggdEQ7PMtvlTcJJtVdH2nMtFkl1KNDKsKqB+m8WbChp8yZ9gL7E/2qJe/ouPNAg6frU5HR74HJ7NHt8fWNblZ/nKv0sqT1a+Uj9heHyCLLdAFRS4YDaYgL6bi70C2fIshaPZUQAe/yQTt27JMfv819nNYbd7bzflnJpalP4s7W8A69uqUB3rwtXzZyAx648EUMTA+dj1TidirnAz2ow4vypaZLHMCnIsCcxgr0VQRCQkJAAq8ONLqsDx0i0zYGOnJUtWAOposOC/OYenDF5tPe5t7aUY2l2k+RxDXSwzhhW4kSKBr3N6caTP5RiZ2UnJo4ahieuOQnDkiLrkfddXrPPFLfhkDKBReHZWt4Bg9WBT24/S/Rr5T4GSrU/3HC6PpLV4ZDqOk/KHplSe39Xjc9zUvY0A/p6xAUSK4epsjYz/rO2GDWHJnpIGpKA5351Oi6bJn27QGoDd2NBENDY3YtxKclISdbW8C/Fa/yEs4wg4MM9tVia1YikIQmYc+EU3HbOMbLHFq5A7ZVwf1cDa7iFc9NCiolExNLy8ZO0g4kf0qXCADOBRHrC/DrL9851v5YIp0vutjnx7++L4Tp0a3hNYStmTEjFneceG/A1Dy7Pj2hbUgs0ZeXeGgP+dNE0ybcn1eks2HoE9HXff2Vzhfc7CSaSix2XR/AmmMKR29g9KPHz8c5q8RsV6UC9MazlpBjq9uneWm9RxMbuXjzwTX7EDaZIkj5AX/KJlJfTaEKnxSF6OKPcPQikarBLXU9OS4w2J/KbTJg6LgXHpSlX50YN/cOr1biQi0WPrilCvfFwm8jlEfDot/n49vfn4Zgxyu0rkRwm+o8t3TYn/rqyAIUtPUgckoB//PwE3HzW5LDX43B5kNdkwrCkITj16FFIlHrn0UiPmoHH4l1VXZifUed9/OrWSpx17BjMPGqkGqGpTo3DRazVc5SS0epEXrMJ08enKFp7LRYx8UNxpTvCWjxv7wh8wf2rT/dHtM4NJW0+CYY3tlUFTfxoRaDEj0baIxEx9brw0o/lUQ/RsDk9QWdgqeiw4MQJfY2hWP68ImXqdWJ7RSc8guAztMHtEaB0GkbMsLDYJO1OJmXvR6PNqVodK4pMUUsP/rw8zzvk7h8/P0HliJQRyWxv8aam0zoo6dNPEICvMhvxj8tmqBCVeIsONnhvHro9Al7eXIErZ07AmAETCABAdkM3Clt6cObk0Zh16AaN2e7CA9/kobi1r3fvxdPH4eUbTkVSkJ7cYindbAhnz39zu+/Quc8y6vDyDadKFofR5sSOik4gAbjkhPE+34emRHi8GJei4fekUflNJjy0It9b2uOxK2bg12eGn6iNNxEnflatWoW5c+cCAJ599lnccsstkgVF1E/MCa64tQfv76xBRpDpmf01SqIVaVmbWLng9Hf6CtRjRa4pjKVqcwdrvK8rahWV9Om0Bu7uO+fr3ID/G1jsNlTiR4rEUI+I4qqAvHeqenpdmPN1LqpETLcej3ZUdmJPdRemjkvBr8+YhOQk7ZTjO1AXXo+w7IbQhWrFFP4lbfgso25QnaX3dlXjipMmSLLumi7tHRf6h08w7xNad5AbHmUxNL31F/sH9x4V0Dc5yP/+z+Gbcl9nNeK1rYdrAs276kTcOGsSNpa0eZM+ALCzqgtZDd2YPUX7Q90CCacZ4q89W9hskiyGbpsT932Vg9pD21k8LgWf3nEmRg9XPlESzqEg0sNFNG2+eB3q9WlG7aB6ru/srMYNsyYhid00/Yoo8dPc3IxnnnkGKSkpsFq1d6Km+FPaasbdi7PVDkOUBhmSUHKyOtz4aE8NytrMmDIuxe8y9cZeUUOZjmQMMHzow9216Ol1w+ZninapdFrE9QZbG2A6dwBhJzZcIc7yUtzZ2xlgutFA5LzA2VXdyaRPCGsKWvD0hjLv49xGE164XjvTwuY0hteY/yrI8Nh+2ys6cfaxY0RtP9BP5k/LciWZfU2qnh0C+oZCfJXViJ1VXZiaNgJ//OlUbd+lDsORdWhsTg9yJJqNKrdJugtFqfTXYWOPH/0Ldr412Jzodbrx8Z5aFLX2zQA20Bf763HjrEl44UffyRfe3lGNxXdJl/hRunB8oM0pGca2ig5v0gcAqrus2FnZhV9qdOKPSA8X0Rxm4nWo157qwTf7zXY3iloG18ekw0QnfgRBwGOPPYaxY8fiyiuvxPz58+WIi0iUxZmxMxuG2yPA7vJgd7X/C/LH1hQrHFF4nvyhBNsq+hr9B+sDN/TL2i3otDjw/q4amHqduP2cY8IevvbcprKA//tS5u9YqdlHBm4m1LTjLs/hRFeNiITJxpI2bxHzlzeHNwvYXYuy8IefSFeo1J/nN5bLun49eO+IIrI/lrXjn9YTMC6lb0iUVpt2vU43hg89XAS1v3ZTMF9mNiC3qRsXTx+PXVVd6LI6cN1pE/H7C44PmDzuCtDTLtgxSQyxDW93gKswq8ONxQcbvMOED9YZUdFhiaigtdYF+gzE2FzWHtXr5Tp+5x/qtSB32ufLg8HPb0w7BdfrdGNY0hBZi/U/tb4MPwbYT4P1Jg80ND5WBPpElRyq/qyftsMzG8s0nPhR/hdrd3miuvGqJ1Kck/RKdOJn4cKFyMjIwKJFi5CRkSFHTESirS9uC3tZjyCodvfu27xmPL8p+MVvoIaFmsx2lzfpE8q3ec1YkdvsffzGtirYnG7ccc6xSE5MQHWXFcenpWDYEcNXDFZH2NsQE/fIYeEd5tQ4T4RqOGXUGPD7C6ZAEAT8ZWX4hb3f2l6FGRNS8ejq8JOIJW1mzF1dhFQJZzBxuDyoNVgxdVxK0Nnq6LBOPzOGFLea8dNp4yJan1KN80vf3YMrTkrHk9fMFPVdFzT3oKD5cDH+j/bUYuKoYbj+9KP9Lp/f7L9wv1oOBiiGvqm03acAek6jCQ1Gm+6KT0qxi73tp0ZIuH4obvU7PbcU+menkrPNkN9k8lsjZaBYv4yR69OzOtyYt7YYu6u7kJ6ajMevPgkXTJX+WNnrdEfcNmvtsUf0OpKfXMOj1LjCaDD24pcf78PjV5+ECyP8DZD+iWqJV1ZW4rXXXsPdd9+N8847T66YSCMcLg/21RhwoM4g23TmalArE1zQbAqZ9NGihARxMzgNTPr0+3B3LS55ZzcufHMX7lyYhave34uDR9QKWZnn+7po/fzdPWEvq1Q32YFbCTadO3B4WE1uownNpvAbj21mBx5fW4JqkTUzXB4B3RHWXanutGJLWbt3qtO8JhOu+TADdy7MwtUfZCBfg8M4SDpuj4ANJe1Ymt0Ude+Ll8LspSYHsRf4G0v833QIdMzU41BHKZKLTSKObwN1WBx4Yl1p9AGEIOe9og9214RcpqJD+zVygu0Hcp1dP8uow86qLniEvvPev1YXwyHDkPCeKHrthDNLaCzSw9Ciygh+V+H0qFGrz0272YF/rS6S5TdA+hB2jx+Xy4V//vOfmDRpEv7+97/LGRNpgNXhxoPL87x3V885dgze+vXpg7ryK0FPHRbvWZKjdggRk/p7sDrdePHHciy/93ACOadBnsSAw+XxFscNVnB2SWbomiRSC5X46Z8Ktc4ovhC4EsU0e3pdGDU8aVChyxFDh+Cd38zCK1sqvY3lHrsL936l3f2/ptOKqeP9163SglX5LWg02nDZielqhxLSW9ur8L/nHhPVOuwqNlrFHuvEJMVJestzmhTZjpw9fsIpmC4m8e8RBOys7ER1pxUXTE3DyRNHRROepi08MLgQs9XpxraKjrB7+lJoAWv8xH7eB58fUchbKpHX+Ol7YVmbGXtrDDgubQQunTFe1PHH5vRgW0WHd7g/0UBhHxnfe+89FBcXY8mSJRg+fHhEG0tMTMDYsdptXIuRmDhEN+/Fn+05TYO61Gc1dCO3zYKrT/Pf/V4uyclJkn/OQnISxo6KbB8WSw/7iMsjYPQY6Ycm1BpsEJKTkHaodkmiTDMXbazsxP+dPwVL9tfhyXUlsmxDjNTUYd79YsSI4FNZX3HqRIwdm4KsMAvqKu3BlQVYfO95+HBPjfc5m9ODBQcbUNpmDvxCjVle0IJnbzw94tfL/TvfWt6BreUdWJzZCJPNf6IhUAwjRx7e35Q6b0mxjTFjRkhWq0BMPMOHDxW1fFKSuJshA3//sSTYvtNqDpyUGJGSHPX7Dfb6ZnPg2RVDvVbM9gPti0p9l6lBPkeHy4PF+2pR2mrGxTPSkVlnwOJ9dQCAD/fU4oM7z8bPZ8p/ETiqO/B+MDRJuTazySVg0vhhfv8XLIaEIYGvUYYlh75cCrZutX7zUmw3JUA7ZfToERgdpFh9sM8zXMGOOwkI//31Ov0X/vc3tDqQ/m31DgndVk0eGtm1S+KQBOS3W3D/kmw4D00ZfNv/HCu6fWJyCTF5npFKf7tH79fqkQgr8ZObm4uPPvoI99xzD84+++yIN+Z2CzAa9dHNeezYFN28F38e+863nsgTqwtx/jHKVkl3OFySf87f7KsbNC2nnPSwj5h6XSitN4ReMAKdBisSDk0B7wxwYo7WZ7uqcd3MCXhvq3rDRwaymO3e/cISZEp4AHAe2v/XFrQoEZpoRc0mvL6hFBb74O9ul8S1muS29GAD/nHJ9Ihfr9TvvDlIMfBAMZgH7G9Knbek2EZtswljU6SZAUtMPHa7uHOOyyXuuGWx2GPyvBBs3wl2599mdUT9foO93hFiJjcpPmuj0Yr2AMktpb7LYJ/jvLXF2FDSV39mZfbgnqtuj4APtlbg7IkjZY/RbA58fHK5PIp9VharA2aL+O/L4w4co8MReqhXoNemjRiq2m9eiu3abP7bKVmVHTgryKyMHk/013yhzlnhrj9Q4keM/m2ZwqjZ5HK5I3rvHo+AD7ZVepM+QF/7ZM7s40Stp7DBGJPnGan0t3v0fq0eyIQJgXt5hkxbulwuzJ07F1OnTsXf/vY3SQMj7Rp40OknxVS5YsnRk9Sho3pFSvnz8vALC4sy4IpBrl7D/WOd20LcGVZDOLVQQg0HU9viELPRxLNYn81FTe0BLtzkpscJUdweAZYgF66CIKAnwtpepIxA+6Wp1+lN+gSSrdEeo3Kxi0zGyk2qBLZaArVA5izNxZvbqmSpm+l0eyRJ1sghnHNENOcRf0M/99WKu/n6fWFr5AGQroXs8WO1WlFTUwMAmDVrlt9l5s2bh3nz5uHuu+/Gf/7zH0kDJJKaxq+j48rAr0Kp6dS1JFTRxy1lHViapXztIYpOTacV/1hViFqDDdPHp+C1X52mu5mc5FbcasaJE+TvpXAkveV9fixtx4s/lqPH7sLF08fj2V+ePKhWX0W7Bf9cXYgGYy9OnJCKV288DZPHKDMUmsIXaPah/lnHtEArp/Bum0vyRGY0uQ29HVMG+jKzARNH+x9WF6nP99VhfkYd3IKAO847Hn/+yfGSrl8Jas0cTBRKyMRPcnIybr75Zr//KyoqQlFREc4991xMmzYtqmFgpB0ZNV1qhyArPcxEoBdlbRZMGNnXaLA55emJdXyati64+/e/FlMv3t9VE3TZWJjJhfq4PQLym0zotDrw/q4a1Bn6LsiqOq14dmMZPrz1TJUjjC2FzT24IcCU7nLSU3vdbHdh3roS7x357ZWdWHywAfddOMW7zJM/lKDB2DdEp7zdghd/LMfbv/F/k0+LIp1iO1xDtLI/aCWOCPUfD5UwdsRQfLSnVvTrgrUMt5R3hHx9QwSTMATTFiPTwL9+aGIHKRS19AxqFy3MqMVpR6VKtn6l7KnuwvriNsxIT8WMCeHHr5njDelWyMTP8OHD8dxzz/n93zvvvIOioiLcdNNNuOWWWyQPjtTxsoJT6TrdHmwqbUdTkNoVUttXa8TvL5gSekGSXWvP4e+9sKUnyJKRu/iE8bKsN1rzDxXfpNgnCAKe2VCKtUX+p/bOrB88m1xjtw2bSzuQOiwRV808CqOGyzcDTaymuVt6lDsnDCRVQWktWFvY6jMM46M9td7Ej6nX6TP7394aeeq5yUGOISZHulojM+MUtfTA4xFgsDlx2YnpmDIutgqWdogoohu1BOkTTeHMNPjpXvHJpmCeXF8q6fpiwSd+PkMpEktKzxTpEYDHD00m8sjPT8Dt50Q306VWetNR7ON8hzSIwepAvVG5Bve8tSVh3UmRUnZDN5ZlN+HWsycrul1SR1IYMzAoqf/8/W2eNgs2k3h1BlvApM+RtpZ3YO7qIu/jb/Na8OntZw4afkNAokoJGLm3quS7CjUFuEOBiyE5ey3KdbNgoJTkvt9l0pCEkENz5bQit9n798ID9fjk9rMwIz1VUx2BnJ7A+5Oicar0NQU6B0RyKPMIAg76qfWid2V+ZgNtDdDzKZzPdVNpO3ZUdmJ9cXjn53BUdYgrFvzRnhrcfNZkJIXRnefUo0ehzc/kGMz7kFS0dUVEqgvWsJE6Y97YbVM86dPvswxp78xQZJS4u251uBS/2xOM3emJy3pGenbz5wfDWq6x2zYo6QMApW1m7KuVt4Ff02nFo2uKcOvHGfgmpwntZjueWFeC332ZjfkZdZosIJ6oUp93sZvdVRW7Q6OV+NYHJiykpmQR37FBpq1WmtnuxvKcJgDqXxAOPJdlN3QHXk6JYKIk12Ew1Hr9tQfe3VEt0bYleFMRrkMQAm9/XVEr/vB1Dh75rhDFrYcTuFLmVpdmNeLf3xdLmvQBgAdXiJvsxGx3o7zdN6HlzzFjtFWagPQnqh4/Dz30EB566CGpYiENULL9v7k0dNJHrqZ/l9Up+jXTxqegujP+pgWUkxKXdlvKO9Co4FDCUBISgG/z2dsnHi3P8X8R/Pm+OlwyQ54hiU63B3/6Js871CK73jhoOG9hSw8ShyTgtyKniw1GitNIoMTPGZNHI69JvlmKAhXR9aewWduzJQXLqzvdHpgCFMBdld+MG2dN8nle0eE6GqO1xMWK3GY8esWJqm2/2+bE0xvKkNVgxCkTR+GJq09SfIbHGonbY25BwEs/lku6zlC+ymrElwcbMDQxAb+/4Hhcd1pfXbNFEn2WX2U14s5zjw17eUHoG06YNmJo1DfmOiwO3PDJftw9+zjcctZkdNucSE1OxP46I5784fAwtqwGI777/WyMGTFU0t/ZqxLWHopWp8UBjyCw6HOUBEFAl9WJcSnR75/xikO9aBApD7oNRhssdjdOPCrV78FOaw2pUEYm8+ciNSX2geJWM4pbw7vbopRXtyhXR4u0wepwB7wwkvN3sKOyM+QF+7s7qyVN/HwtwUx0gYZ6DU+SpqNywDvhItqSn2Zou05XoLey6EA93g7So+DZjeWYedRInDxx1KDnv8uTr/cORUatS58Xf6zAjsq+ISkH6ox4fF2JbBM0OFwerC1qxfFpI3DOsWO8F3zZjYF7GEWi3ezAchl7qB1pf61hUP2ap9eX4eSjRokqBhzKG9uqQiZ+zHYXKtotSEjoq0vTbLLj+LQReOOm06OeHKOlx46XN1fgo9016O51ITU5ERbH4J56Zrsba4tacee5x0rWG1pLvbwB4OFvCzE+NRkvXncKzjp2TMDlAk0+w0lp+q4p//5tIaq7rJg4ahhevfFUn3MUhcahXjSIFAddjyDg6fWluOmzA/i/xVm49fODsDgim1pTS4c6JpdJKk63lvZsUsIl7+wO+D85h/4FG34Ritsj4ECdAeuKWtFlDb+3xxvbqiLeZr+kROkOuB3mwTUi7C4P/rKiwO+yYrYayTAvub5pi8OFLWXt2F7RiV5n34VVoDuiwZI+/T7zk9Ta7qf2RLzg6X+wI2dTy2mUp/dbTacVP31rF57fVI4/LsvD7Nd3eksSxMpZNFDb8chZPQUoP+nDnuouXP3BXsxZmov7vs711gWrM9jwgoS9n7oP9S48MunTb2+1tEXlbU55hoH2RrHeTosD89aVcKh/hF7aXIHqrr5efq09dvw3DoufS4FdGEhyRS09WFPY6n1ca7Dh7e3VmDEhFUarE5fPTMf08akRH/y6bU4sPtiAb3KacMVJE3DfhcdLFTopjI1pIm0SBAH/XV/qrY8wLmUoPr5NuSnp90h4IfBVViMe+tl07+PtFR3IqPW/frkT/BXtFvxM4pkGu21O3L8sF5WHio6eMXk03rt5VlTvZb/MdaekIGZYXuTb6KPVSzW935C6dYFv/bQdFR247KQJAWsTxErvCH/FyZUu6Pza1ko4AtyIOlhnxP5ag0+CSg4ZtQYIgiCqxo/TLaDb5sQYP/W35PpZONzR9SRq7bGjstOKGenienX1BBiWG08yjphxsrLDCmMEZTviHRM/NIjZLj6bvaG4DdsqOnDM2BH47XnH4V9HFC8FgJUDuogvPtiAT24/M6JTs93lwZ0LM9Fm7rv7vKqgBasKWC+FYoe/3wdpS0W7BctyGuFyC/jNmb61TuSyQOG7vcHUGWyDimJ2WZ2DjuNyM9r8N+giudBdeKBhUOIn2J1suZMJn++rw70XSHuzYnN5hzfpAwB5TSbsC5DY0oKilh6syG3CkIQE3HLWZPTYtX9Ro9W79BoNSxKC4D+F8681xTjwyISAr5sfZAjmv1YXBR1qE086LI6Q097/ebm4QsbRmP36TowZLu6y9Ir392L3Xy9C8hFDgOVKiErxe7NEcLx7ZYt26hVpSbSJuHjExA8Nsq6oNfRCA3xf2IKn1pd5H+c0dHuTMoFYnW4sy27CMWOHi44vo8YQcv1aMX18itohaN6JR41UOwTFcZSXNt33VQ5uP+cYnDF5NO5flustfDuw96JcilvNeGh5fsBeKNEI93h5oM6Az/fVw+Hy4LZzjvE7RGxJZvS1e7Qg2A0OuXtQ9AapPbEsuwnfF7ZgfGoy/vjTqZgZ5vHxhU2+iayXN1fg2lMnRhyn1c+QBilmf6s32PCnZXne9X+n8UL3y3ObMXp4UkQTQuhVRYdFsnXZXR68s6MKWQ3dOGXiSPztkhMw6tDFf6S1+YKdY7eUdyg+m6yYZLLB5oSpV/59TRAE/OLDDNm3I1Z3BD1bdlR24oqZgxOBciXwpUj8PLqmGJ/dcVb0KyKKABM/NEiomQTmri7Ck9echNRDhY7fOaJWQG6Ys62sKmgJ667nkbUZFh+sD2v9WjB8aKLaIWjesAF3aY4eNQwtPfYgSxPJJ7fJhLwmE86fmhZwtiM5yZH0EePhbwu9BTHzmkx+u88rzepwIyVZ2eOoWiNnNpa04ZUBRd/zm0xY84fzMSLC80ib2YEF+6M7XwqCMKhOkDlAfQ4xvs5q9JtU0rL5+7Tb7lBjqJeUs3e9sqUCqw4l/8rbLeiyOvHGTacDANaGSLrHNWWpzQAAIABJREFU6j2UDrMdj/8QuD7J4+tKZNt2RbsFT60vRUmbtia8iMazG8t8Ez8y/S7cEmR+OiwOPLg8T4JoiMRjcWcSZWt5B97afrhwZzR3wYJ1x+23r9aI6k6rt5u1nrs1x7uTJ8Zf7x/SFgG+48hjRbR3sQfOgiIg8FArJbWb7XB7BBS19KC83azIcBu1poh9/YiC2N29LmwqaQ+wtDLkmA1xWU6T5OskZYVKyITLIwjepE+/XVVd3gK6wX7tDUZbVIXr1WJxuHDDp/uD1vKRsr4Z0NduB/oSuY98V6CrpA+g7HXBh7trJFlPvbHX7/OtGrv5aba7cKDOIGpyB9I2Jn5ItG/zlO2afeuCg3huUzk8Igu/SU3nNRRVwc+USBp6rB1lc7rx5+V5+O2X2bhzYRb+tabYO6OPXNRqeHdafBvWUk9XLdbrWytR2CzdbE1uib87MTm6XqcbW8s78ENxK7o1kNTsV96ur4twMfYGSLL3z8hU1Rl4SNlNnx3ABpUTo+HqHxpX2NKD6z7ep/isnk+sK4HD5UFxqxlNJm0lFuQiV/5e7qGpm8uUHYYYTEGzCdd9vA8PfJOPaz/MwI+lsfF7o+A41Itiwqr8Ftxy1mS4POoV8hJ7qtZqMUgtcbHgDREFcNfi7EGPtypQm+ObnCbccPpEnDxxlOzb0rrcJhN+tyQHD186HQ9cflLU68sPcyi41OwuDx5ake+dcvzYscPxye1nIT01WZV4BvpAgRmTtGJ1QQuqOqy4cGoakhIT8LeVBUGX77JoJ0EXrbYeOz7cVRPRBCrR6nV5sKuqE4lD9Hmv318JcCVm/NO793ZWw3JoeK9bAF7fVonLT0pXrVesGLEys58a9HkUIF2an1EnS9dzUs+/1xarHQIR0SBfZ2tjOJJWmq5vbKvCnEWZaOr2PzwhXB/uqZEmIBHWF7chq8HoTfoAQIOxF5+HMdRcCTurutQOQTHPbCjDl5kNeHBFPv64LL5qnKzIbVK1jpsWhu5SbDlYP7jHabvZgcYozwFSi4EclOawxw9FpK3HjqNGDVN0myaVp3zl8UV6dQYbmk29mDRa/AxvRERyWFvYiv9eM9P72O0RkDgkAWsLW7EkswGpyYn4/QVTFImjrsuKu847Dj8/MV327QWzrSzybv7nvbYjqm1n1HThvOPTkDhE/Fk4UKHcZTlNePBn0yIuni0FswRtGqXaJW6PgB9L27EkS/6Z/QpberAksxHVXVbZt6WULzUxI6JWUsnyqGi34O0dVWjtsePSGePVDkeX/vxNHkYkJ+Kak4/Cb2cfp9neP+zxFRgTPxSRFblN+ONPpyq7UQ6d0qWMGgNuOmOS2mEQkc5VdFgwT0Qvw6wGI/66ogAeQYDjiGGpD67IlyyuYHWL8pt78NiaIiy66xycOCE+C+A/tKJvSNApE0fimWtPxpRxKeh1uqPuNbKlrAO/PC3yKe+j4fYI2KKheh6BdFocmLe22Ofuv5we/rZQsW0pZWDxfJKWIABOtwd/Xp7nnXCmqlM/SUMt6a8R9d6uGowdMRS/Yts95nCoF0Vk/r56/PbL7NAL6gjTTkREseuOLzJR2RHeBcHawlbcvzQPvS6PT9JHStkN3bj6g71Bl3ELwOcanlJcKcWtZty5MBMH6gy47L09Ua8v2pnwIlXYbMJP39qFZzaWqbJ9MV78sVzRpA/JR8/3TndUdkY1yzCJ99LmCrVDoAgw8UMRY70dkoKO2yJEpBF1Bpuo5f+7vlSmSAZ7ekMpTL2hh/xsCjCjitQzZWmdwy3ggW/yFZ8ZSUrPbSqX5HvLqJG/PtC2ik7Zt0HyE6DvtlZRC69HlCb3DJskDyZ+KGbwEENERJFoN2tvGuMWUy8ajNEVyyyQcLp1kp/N6UZ5e+BpysXoHwJHFEq1joc+CWCRX70RBAEbS9rw8uYKrCtq5SzJEmKNH6Iw8bwiEx7QiUhmWuwZI7buhyAIPsU0P9xdI2FE8SW3MfohTIIgYGl2E3ZXd2HauBTMuXAKRg0P3LTW4n5I+md1uHV78zQBbJ+rZe7qIvzmzEk4f0qapOv9fF89Pjh0bvsmR9+JS6Wxxw/FDLUP7Ho9aRIR6d33ha1qhxC1sjbfniLhDBMj/7ol+OwWH2zAa1srkVFjwFdZjZi72n9hYkEQ4JCjwC+7OlCcEwBEMOEfSWBreQf+trIAxa09kq73gyNuaCzYL67GncArtoCY+KGYwZ8xERFF4ofiNrVD8CF2KtwHlvvOYsXzorre3lE96PHB+m40mwYP39tR2YmL396Nn761K+D08mpzewRUd1rlSU6R6gRA372rmQBVjcsjqDb5gCGMgt42pxu1XVYOFzuEQ72ISFU8FBNRPBJ7qWLqdaGszYyTjorPad3l0NpjR3FLD049epRk66zqtGLS6OEAALPdhUe+O9wLaFeV/AWZxarqtOCh5floMzuQmpyIl284FbMlHrpB6tpU2o6Lpo9TOwxZCILAXgwBCIKAqk4rmrp7cfaxYzBymDyX/VuPmCGxy+pAfpMJJ6Sn4tixI2TZJgD876Isv88nHDq7fpvdiH9/VwCXR8CM9FS8c/MspKcmyxZPLGDih2JGp8WhdghERESqmb+vDi9ef6r3cbuZ58VoXPfxPgASDxUZcDfjvZ3VgZfTiDe3VaHt0H5kcbjx7MYyrLpvtugeaaRddpcnpmfCC8bhFjCE+6pfH+6uwfxDvXHGpQzFR7eeianjU3yWc3kE7KzsRLOpFz+ZNg5Tx/kuE67shm78ZUU+eg/1Hpx31Ym4cdakiNcXqV6nG/9ZVeCdfayiw4L5GXWYe/kMxWPREiZJKWbUdImbjjccE0cNk3ydgUwerdy2Ygl7XxJRPIrkWqW4ZXAtBda2kIZcNZeX5zbLs2IJ7a0xDHrcbLKjpUd7s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\n",
+            "text/plain": [
+              "<Figure size 1440x720 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 634
+        },
+        "id": "R_ctvXcQL1Xf",
+        "outputId": "dbc14537-5eb4-4433-f71b-8ad22f551fe8"
+      },
+      "source": [
+        "load_avg_1_min = df_Ellis[['ellis-load.avg_1_min']] \n",
+        "load_avg_1_min.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
+        "plt.xlabel('Timestamp', fontsize=30);"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 1440x720 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 634
+        },
+        "id": "Gkd5ecCmL6Bw",
+        "outputId": "af90f36e-850f-4ae6-f350-c7a55c2db05b"
+      },
+      "source": [
+        "cpu_wait_perc = df_Ellis[['ellis-cpu.wait_perc']] \n",
+        "cpu_wait_perc.rolling(12).mean().plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
+        "plt.xlabel('Year', fontsize=30);"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 1440x720 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 624
+        },
+        "id": "EycZrQU0MBSX",
+        "outputId": "bcf199b4-b7f9-4a8c-ba2b-aff666038715"
+      },
+      "source": [
+        "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",
+        "df_dg.plot(figsize=(20,10), linewidth=5, fontsize=20) \n",
+        "plt.xlabel('Year', fontsize=20); "
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 1440x720 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "YoQA_MIBMknS"
+      },
+      "source": [
+        ""
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 710
+        },
+        "id": "Pi8UMMitMa3Q",
+        "outputId": "189c418a-6688-4f58-c7f4-1354e235add7"
+      },
+      "source": [
+        "# we establish the corrmartrice\n",
+        "import seaborn as sns\n",
+        "color = sns.color_palette()\n",
+        "sns.set_style('darkgrid')\n",
+        "\n",
+        "correaltionMatrice = df_Ellis.corr()\n",
+        "f, ax = plt.subplots(figsize=(20, 10))\n",
+        "sns.heatmap(correaltionMatrice, cbar=True, vmin=0, vmax=1, square=True, annot=True);\n",
+        "plt.show()"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 1440x720 with 2 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "rkYwyKtXMvpy",
+        "outputId": "708e7b7c-10ce-4d4a-ebbb-894567d167c9"
+      },
+      "source": [
+        "df_Ellis.corrwith(df_Ellis['ellis-load.avg_1_min'])"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "ellis-cpu.system_perc       -0.316956\n",
+              "ellis-cpu.wait_perc          0.886739\n",
+              "ellis-load.avg_1_min         1.000000\n",
+              "ellis-mem.free_mb           -0.335300\n",
+              "ellis-net.in_bytes_sec      -0.681849\n",
+              "ellis-net.out_packets_sec   -0.116851\n",
+              "Label                        0.279330\n",
+              "dtype: float64"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 43
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 235
+        },
+        "id": "5oQK-ddinvCM",
+        "outputId": "92bf698d-e2bd-4438-bd84-346da3cfa696"
+      },
+      "source": [
+        "## ## using multivariate feature \n",
+        "\n",
+        "features_3 = ['ellis-cpu.wait_perc', 'ellis-load.avg_1_min', 'ellis-net.in_bytes_sec', 'Label']\n",
+        "\n",
+        "features = df_Ellis[features_3]\n",
+        "features.index = df_Ellis['Timestamp']\n",
+        "features.head()"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/html": [
+              "<div>\n",
+              "<style scoped>\n",
+              "    .dataframe tbody tr th:only-of-type {\n",
+              "        vertical-align: middle;\n",
+              "    }\n",
+              "\n",
+              "    .dataframe tbody tr th {\n",
+              "        vertical-align: top;\n",
+              "    }\n",
+              "\n",
+              "    .dataframe thead th {\n",
+              "        text-align: right;\n",
+              "    }\n",
+              "</style>\n",
+              "<table border=\"1\" class=\"dataframe\">\n",
+              "  <thead>\n",
+              "    <tr style=\"text-align: right;\">\n",
+              "      <th></th>\n",
+              "      <th>ellis-cpu.wait_perc</th>\n",
+              "      <th>ellis-load.avg_1_min</th>\n",
+              "      <th>ellis-net.in_bytes_sec</th>\n",
+              "      <th>Label</th>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>Timestamp</th>\n",
+              "      <th></th>\n",
+              "      <th></th>\n",
+              "      <th></th>\n",
+              "      <th></th>\n",
+              "    </tr>\n",
+              "  </thead>\n",
+              "  <tbody>\n",
+              "    <tr>\n",
+              "      <th>14-09-2016 0:00</th>\n",
+              "      <td>12.9</td>\n",
+              "      <td>1.73</td>\n",
+              "      <td>5413.200</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>14-09-2016 0:00</th>\n",
+              "      <td>10.3</td>\n",
+              "      <td>1.79</td>\n",
+              "      <td>5201.667</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>14-09-2016 0:01</th>\n",
+              "      <td>11.8</td>\n",
+              "      <td>1.52</td>\n",
+              "      <td>5370.733</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>14-09-2016 0:01</th>\n",
+              "      <td>12.9</td>\n",
+              "      <td>1.43</td>\n",
+              "      <td>5292.467</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "    <tr>\n",
+              "      <th>14-09-2016 0:02</th>\n",
+              "      <td>12.1</td>\n",
+              "      <td>1.44</td>\n",
+              "      <td>5318.167</td>\n",
+              "      <td>1</td>\n",
+              "    </tr>\n",
+              "  </tbody>\n",
+              "</table>\n",
+              "</div>"
+            ],
+            "text/plain": [
+              "                 ellis-cpu.wait_perc  ...  Label\n",
+              "Timestamp                             ...       \n",
+              "14-09-2016 0:00                 12.9  ...      1\n",
+              "14-09-2016 0:00                 10.3  ...      1\n",
+              "14-09-2016 0:01                 11.8  ...      1\n",
+              "14-09-2016 0:01                 12.9  ...      1\n",
+              "14-09-2016 0:02                 12.1  ...      1\n",
+              "\n",
+              "[5 rows x 4 columns]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 44
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 386
+        },
+        "id": "qbqn755fo81g",
+        "outputId": "91c28242-4c9a-4ce3-9649-501eafa9247e"
+      },
+      "source": [
+        "features.plot(subplots=True)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([<matplotlib.axes._subplots.AxesSubplot object at 0x7f5b0bd33310>,\n",
+              "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f5b13aef050>,\n",
+              "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f5b0be82050>,\n",
+              "       <matplotlib.axes._subplots.AxesSubplot object at 0x7f5b0e9d9fd0>],\n",
+              "      dtype=object)"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 45
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "image/png": "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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 4 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "jJQD1x9psWCH"
+      },
+      "source": [
+        "features = features.values"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "xf8WCiykpUzN",
+        "outputId": "c34ed8fa-edd0-41d0-e041-29a0853a3370"
+      },
+      "source": [
+        "### standardize data\n",
+        "train_split = 141600\n",
+        "tf.random.set_seed(13)\n",
+        "\n",
+        "### standardize data\n",
+        "features_mean = features[:train_split].mean()\n",
+        "features_std = features[:train_split].std()\n",
+        "features  = (features - features_mean)/ features_std\n",
+        "\n",
+        "print(type(features))\n",
+        "print(features.shape)\n"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "<class 'numpy.ndarray'>\n",
+            "(177000, 4)\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "1a0hNDmppnLB"
+      },
+      "source": [
+        "### create mutlivariate data\n",
+        "\n",
+        "def mutlivariate_data(features , target , start_idx , end_idx , history_size , target_size,\n",
+        "                      step ,  single_step = False):\n",
+        "  data = []\n",
+        "  labels = []\n",
+        "  start_idx = start_idx + history_size\n",
+        "  if end_idx is None:\n",
+        "    end_idx = len(features)- target_size\n",
+        "  for i in range(start_idx , end_idx ):\n",
+        "    idxs = range(i-history_size, i, step) ### using step\n",
+        "    data.append(features[idxs])\n",
+        "    if single_step:\n",
+        "      labels.append(target[i+target_size])\n",
+        "    else:\n",
+        "      labels.append(target[i:i+target_size])\n",
+        "\n",
+        "  return np.array(data) , np.array(labels)"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "Z0CivgkitfgE",
+        "outputId": "fd7abe27-940d-4f71-e581-5deb3ac42262"
+      },
+      "source": [
+        "### generate multivariate data\n",
+        "\n",
+        "history = 720\n",
+        "future_target = 72\n",
+        "STEP = 6\n",
+        "\n",
+        "x_train_ss , y_train_ss = mutlivariate_data(features , features[:, 1], 0, train_split, history,\n",
+        "                                            future_target, STEP , single_step = True)\n",
+        "\n",
+        "x_val_ss , y_val_ss = mutlivariate_data(features , features[:,1] , train_split , None , history ,\n",
+        "                                        future_target, STEP, single_step = True)\n",
+        "\n",
+        "print(x_train_ss.shape , y_train_ss.shape)\n",
+        "print(x_val_ss.shape , y_val_ss.shape)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "(140880, 120, 4) (140880,)\n",
+            "(34608, 120, 4) (34608,)\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "VBdr2epGu3aq",
+        "outputId": "3c3a50d3-6f47-400e-edd0-18a46154f7fc"
+      },
+      "source": [
+        "## tensorflow dataset\n",
+        "batch_size = 256\n",
+        "buffer_size = 10000\n",
+        "\n",
+        "train_ss = tf.data.Dataset.from_tensor_slices((x_train_ss, y_train_ss))\n",
+        "train_ss = train_ss.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
+        "\n",
+        "val_ss = tf.data.Dataset.from_tensor_slices((x_val_ss, y_val_ss))\n",
+        "val_ss = val_ss.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
+        "\n",
+        "print(train_ss)\n",
+        "print(val_ss)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "<RepeatDataset shapes: ((None, 120, 4), (None,)), types: (tf.float64, tf.float64)>\n",
+            "<RepeatDataset shapes: ((None, 120, 4), (None,)), types: (tf.float64, tf.float64)>\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "9eQpwUyGglu_"
+      },
+      "source": [
+        "def root_mean_squared_error(y_true, y_pred):\n",
+        "        return K.sqrt(K.mean(K.square(y_pred - y_true))) "
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "1cKtTAzqyiyL"
+      },
+      "source": [
+        "from keras.layers import Activation, Dense, Dropout\n",
+        "from keras.utils.vis_utils import plot_model\n",
+        "from keras.layers import Flatten\n",
+        "from keras.layers.convolutional import Conv1D\n",
+        "from keras.layers.convolutional import MaxPooling1D\n",
+        "### Modelling using LSTM\n",
+        "steps = 50\n",
+        "\n",
+        "EPOCHS =20\n",
+        "\n",
+        "single_step_model = tf.keras.models.Sequential()\n",
+        "\n",
+        "single_step_model.add(Conv1D(filters=64, kernel_size=2, activation='relu', input_shape=(1,48))\n",
+        "single_step_model.add(MaxPooling1D(pool_size=2))\n",
+        "single_step_model.add(Flatten())\n",
+        "single_step_model.add(Dense(50, activation='relu'))\n",
+        "single_step_model.add(Dense(1))\n",
+        "single_step_model.compile(optimizer='adam', loss='mae', metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
+        "\n",
+        "\n",
+        "\n",
+        "#single_step_model.add(tf.keras.layers.LSTM(32, return_sequences=False, input_shape = x_train_ss.shape[-2:]))\n",
+        "#single_step_model.add(tf.keras.layers.Dropout(0.3))\n",
+        "#single_step_model.add(tf.keras.layers.Dense(1))\n",
+        "#single_step_model.compile(optimizer = tf.keras.optimizers.Adam(), loss = 'mae',metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
+        "#single_step_model.compile(loss='mse', optimizer='rmsprop')\n",
+        "single_step_model_history = single_step_model.fit(train_ss, epochs = EPOCHS , \n",
+        "                                                  steps_per_epoch =steps, validation_data = val_ss,\n",
+        "                                                  validation_steps = 50)\n",
+        "single_step_model.summary()\n",
+        "plot_model(single_step_model, to_file='/content/drive/MyDrive/Failure/lstm/CNN-LSTM.png', show_shapes=True, show_layer_names=True)\n",
+        "\n"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 281
+        },
+        "id": "Pgev0dgzzBVx",
+        "outputId": "81b15b3b-0132-428e-d545-d689caa2e2eb"
+      },
+      "source": [
+        "## plot train test loss \n",
+        "\n",
+        "def plot_loss(history , title):\n",
+        "  loss = history.history['loss']\n",
+        "  val_loss = history.history['val_loss']\n",
+        "\n",
+        "  epochs = range(len(loss))\n",
+        "  plt.figure()\n",
+        "  plt.plot(epochs, loss , 'b' , label = 'Train Loss')\n",
+        "  plt.plot(epochs, val_loss , 'r' , label = 'Validation Loss')\n",
+        "  plt.title(title)\n",
+        "  plt.legend()\n",
+        "  plt.grid()\n",
+        "  plt.show()\n",
+        "\n",
+        "plot_loss(single_step_model_history , 'Single Step Training and validation loss')"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "image/png": "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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 281
+        },
+        "id": "EnYf6j4okEoC",
+        "outputId": "89bda316-e762-4aef-b32d-e7649da9ac39"
+      },
+      "source": [
+        "## plot train test loss \n",
+        "\n",
+        "def plot_loss(history , title):\n",
+        "  loss = history.history['rmse']\n",
+        "  val_loss = history.history['val_rmse']\n",
+        "\n",
+        "  epochs = range(len(loss))\n",
+        "  plt.figure()\n",
+        "  plt.plot(epochs, loss , 'b' , label = 'Train RMSE')\n",
+        "  plt.plot(epochs, val_loss , 'r' , label = 'Validation RMSE')\n",
+        "  plt.title(title)\n",
+        "  plt.legend()\n",
+        "  plt.grid()\n",
+        "  plt.show()\n",
+        "\n",
+        "plot_loss(single_step_model_history , 'Single Step Training and validation loss')"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "WMegV8mNAwe_"
+      },
+      "source": [
+        "### fucntion to create time steps\n",
+        "def create_time_steps(length):\n",
+        "  return list(range(-length,0))\n",
+        "\n",
+        "### function to plot time series data\n",
+        "\n",
+        "def plot_time_series(plot_data, delta , title):\n",
+        "  labels = [\"History\" , 'True Future' , 'Model Predcited']\n",
+        "  marker = ['.-' , 'rx' , 'go']\n",
+        "  time_steps = create_time_steps(plot_data[0].shape[0])\n",
+        "\n",
+        "  if delta:\n",
+        "    future = delta\n",
+        "  else:\n",
+        "    future = 0\n",
+        "  plt.title(title)\n",
+        "  for i , x in enumerate(plot_data):\n",
+        "    if i :\n",
+        "      plt.plot(future , plot_data[i] , marker[i], markersize = 10 , label = labels[i])\n",
+        "    else:\n",
+        "      plt.plot(time_steps, plot_data[i].flatten(), marker[i], label = labels[i])\n",
+        "  plt.legend()\n",
+        "  plt.xlim([time_steps[0], (future+5) *2])\n",
+        "\n",
+        "  plt.xlabel('Time_Step')\n",
+        "  return plt"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "q99i2c-9XKF3"
+      },
+      "source": [
+        "### Moving window average\n",
+        "\n",
+        "def MWA(history):\n",
+        "  return np.mean(history)"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 1000
+        },
+        "id": "xFJT1rZDAUVL",
+        "outputId": "a045ab0c-628b-456c-9ef6-5b92926358c6"
+      },
+      "source": [
+        "# plot time series and predicted values\n",
+        "\n",
+        "for x, y in val_ss.take(5):\n",
+        "  plot = plot_time_series([x[0][:, 1].numpy(), y[0].numpy(),\n",
+        "                    single_step_model.predict(x)[0]], 12,\n",
+        "                   'Single Step Prediction')\n",
+        "  plot.show()"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "image/png": "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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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iIiYkohISIiphQSgPeUSXhs2XTTNh5bNuE9ZVIBVSQi4hx04RrIaNiIUgPCufjxHNKzmVPJY8smx/rblZR0gZdeeg6Ac+cScXNzo0yZzDmUZs2ah5tb3r/kNmhQFImJZylWLPMb1+Hh/Xj00TbZtj19+hR79+4hNLRdnt9XRIo+hQSQ3rwFFz+ek21QXB8Q2QVITkqXLsPs2Z8CWWd8hczvHqSmpt2Rab1Hjx5L7dp1c2x3+vQpYmO/ue2QsNlsgJ4MJ/J3o5D4n+yCIq8BYebatN6HDh3k/vvrUbx4iSzh0adPTyZOnETFipVYvXolS5YsJD09g7p172Xo0BG3NMXGuHFv8NBDzR1nFCEhj7B27WamTfs/jh07QkTEU7Rv35GSJUuxf/8+hgx5GYDhw6Pp1as3jRo1ISTkETp37saOHdsZNmwEf/zxR65qERHXpWsS17k+KIq/PTZfAuKaP/9MICbmE154YYhpm6NHj7Bu3VqmTp3F7Nmf4uZmZc2aVdm2ffPN14iIeIqIiKdISrpg2ufAgYOoX78hs2d/yhNP/POmNV65coW6de9jzpwFlC5d+pZrEZGiQ2cSf5HevAVXwvtT4j8TSRkyPF8CAv7/tN43m+rip5+2c+DAbzz9dF8AUlOvmj4T4laHm26H1WqlVavWAPz4463XIiJFh0LiLzy2bMJ7zkxShgzHe85M0pu3yJeguH5ab6vVimH8/7BIS0sDwDAM2rd/jIEDB912/1arFbs9c1ouu91Oenr2D0i5vh1Aamqa48+enp5ZhpNyW4uIuC4NN13n+msQl0e85hh6yun22LyqWLESBw/uB+DAgf2cPn0KgMaNm7JhwzrOnz8HZD7R7syZ07fUZ4UKFTlw4DcAtmzZREZG5sOTMqcev3xdu0ocPnwQu91OfPwZfvvt12z7a9Ik97WIiOvSmcT/ZHeR+mZ3Pd1JrVq15ptvVtC7d0/q1r2XypWrAFCtWnUGDHiWwYMHYRh2rFZ3hgx5mQoVKubYZ+fOXRkxYijh4U/SrFkQ3t7eAAQE1MTNzY3w8Cfp0OExevZ8iooVK9G79+NUrVqNwMBa2faXl1pExHVpqnByvs01v+5ycpbpt2+Fs9SqqcILlyvVCq5Vr7NOFa7hJsB9186bBsC1Mwr3XTsLuDIRkcKl4SbgygvRObbJrwvYIiLOTGcSIiJiSiEhIiKmFBIiImJK1ySucyTpd6bunsKSg4tISU+mhIcPPQJ78myDF6hWunphlyciUuB0JvE/646todVnDzF/31yS0y9hYJCcfon5++bS6rOHWHdsTa77bt68CWPGjHK8zsjI4LHH2jB06Iu31U+PHp24cMF8XqabtenRoxN9+z5BeHgvBg9+nsTEs7f13tebOXM6n346z3T92bN/8tprwwE4dOgA27Ztue33GDQoiv379+W6RhG5MxQSZJ5B9FvdlysZl8kwsk5fkWGkcyXjMv1W9+VI0u+56t/b25vff48jNfUqAD/++AN33eWX57pv1+TJ05kzZyG1a9dl3rxPsqwzDAO7/c58D+Kuu8ozduxEAA4dOsi2bVvvSL8iUvA03ARM3T2FdFv2cxtdk25LZ/rPH/J2i3/n6j2Cgh7mu++28OijbYiNXU2bNqHs2bMbyJziYsKEMZw69QfFinkxfPirBATUJCnpAm+88Sp//vkn9913P9d/7zG3U4gD1K/fkCVLFnL69CmGDBlE3br3ceDAft577wPWr1/L+vWxpKen0aLFo/Tv/wwAs2fPYMWKrylbtix+fv7UqlUHgJMnT/DuuxO4cOE8Vqsbb731Dm5ubgwfHs2sWf9lxoxppKWlsmfPz/TpE8FDDz3C++9P5MiRODIyMujXL4pHHmlFaupVxo9/k8OHD1Glyj2kpqbm6jiLyJ2VpzOJCxcuEBkZSWhoKJGRkSQlJWXbrk6dOnTp0oUuXbowcOBAx/KRI0fSuXNnOnXqxIsvvkhKSopj3cqVK+nQoQMdO3Zk6NCheSkzR0sOLrrhDOKvMox0Fh9cmOv3CA4OZd26NaSmphIXd5i6de9zrJs5czo1a9ZizpyFPPPM84wdOxqATz75mHr1GjB//iJatHiU+PgzwO1NIZ6d777bTPXqAUDmh3zXro8zf/4ijh8/xokTJ/j44zl88smnHDjwG7t372T//t9Yu3YNs2d/ynvvfZBlGOjNN1+jW7fHmTNnAVOnzsLX9y7HOg8PD55+eiCtW4cwe/anBAeHMnfuLBo3foCPP57L5MnT+fDDyVy5coWlS5dQrJgX//3vEvr3f8Yxl5WIFK48nUnExMQQFBREVFQUMTExxMTEMGzYsBvaeXl5sXz58huWjxw5Eh8fHwAmTJjAf//7X6Kiojh69CgxMTEsWJD5HIPExMS8lJmjlPTknBsByWm31i47AQE1OX36NLGxqwkKejjLuj17djuGZxo3foCLF5NISUlm9+5djBuXufyhh5pTsmQp4PamEL/eiy8+g5ublRo1Ahgw4DmSky9RoUJF7rvvfgC2b/+eH3/8nsjIzOdMXLlymZMnj3P58mVatnzUMXNt8/99qfDy5RTOnv2Tli0fBaBYsWI51rB9+/ds2bKRBQvmA5CWlkp8/Bl+/nkXPXr0chyrGjUCcuxLRPJfnkJi3bp1zJuXeQEzLCyMPn36ZBsSZq4FhGEYXL161bF80aJF/POf/6R06dIA+Pr65qXMHJXw8CE5/VKO7Xw8ffL0Ps2bt+DDDz9gypTpN30wUE5yO4X45MnTKVOmjON1cvKlLFOWG4ZB794RhIV1z7LdokWf5rrWvzIMg3HjJlKlyj13rE8RyT95ConExET8/DIvwJYvX970N/7U1FS6deuGu7s7UVFRtGnTxrHulVdeYePGjdSoUYMRI0YAcPToUQB69eqF3W5n0KBBtGiR85QYFkvmJFnXi4+3YLXefFStZ60nmLdvDul28yEnDzcPetZ6Mse+zFitbnTuHEapUqUIDAxk584djuUNGjQiNnY1/foNYOfOHZQuXYZSpUrRsGEj1q1bQ2Tk02zbtpVLly5itVpo2vRBhg8fzJNP9qZcuXIkJSVx+XIKFStW+l+f2e/zX5dbrW5YLP9/WVDQQ8TETKV9+44UL16chIQE3N3dadSoMW+9NZq+fSOx2Wxs3bqZsLDulCxZEj8/P7Zs2UjLlo+SlpaG3W7L0q+Pjw9XrlxxvMeDDwbx+eeLGDr0ZSwWCwcO7KdWrdo0bNiY2NjVNG3ajLi4w8TFHcbNze2G/bBYLDf8HZsd71tp5wxUa/5xpXqdtdYcQyIiIoKzZ2+8XTI6Out8RxaLBYvFkm0f3377Lf7+/pw4cYLw8HACAwOpUiVzOuwJEyZgs9l46623WLlyJd27d8dms3Hs2DHmzZvHmTNn6N27N1999RWlSpW6aa2GwQ2zKBqGkePspc/UH8SC/Z/eNCTc3TyIqvdcrmdCtdns+PqWp3v3J7DZ7I5+bDY7kZEDmDBhDL1796RYMS9effUNbDY7ERFP88Ybr7JmzTfcf389/P0rYLMZVKlyDwMGPMtLLz2XZdpuP78K/+sz+33+63KbzZ7l+DRp0ozff/+dAQPCAfD2Ls7rr79FQEAt2rQJpU+fXpQtW5batetit2du99prY3j33fF8/PFUrFZ33nrrbdzc3Bz9NmjQiLlzP6FPn1706RNBeHh/Pvjg3/Tu3RO73aBSpUpMnDiJLl26MX78m/Tq1e1/U5bXxm6337AfhmHc0kyZmv0zf7hSreBa9TrrLLB5miq8bdu2zJs3Dz8/PxISEujTpw+rV6++6TYjRoygVatWtGvXLsvyH3/8kRkzZjB9+nRef/116tevT/fumcMe4eHhDB06lHr16t2079xOFQ6Z35Pot7ov6bb0LBex3S0eeFg9mNV2LsFVQ3Ps53Y4y/Tbt8JZatVU4YXLlWoF16rXWUMiT3c3tW7dmmXLlgGwbNkygoODb2iTlJTkeBznuXPn2LlzJwEBARiGwbFjx4DM3w7Xr19P9eqZ32pu06YN27dvd2xz9OhRKleunJdScxRcNZQNT3xH33sjKOlZEgsWSnqWpO+9EWx44rs7HhAiIq4gT9ckoqKiiI6OZsmSJVSqVIlJkyYBsHfvXhYuXMi4ceOIi4tj9OjRWCwWDMNgwIABBAQEYLfbefnll0lJScEwDGrVqsWbb74JwCOPPMLWrVvp0KEDVquV4cOH39LdO3lVrXR13m7x71x/F0JEpKj5WzyZzt+/iun1ksLkLEM4t8IZajUMg/j44xpuKkSuVCu4Vr1FcrjJFbi7e5KScpEilIV/S4ZhkJJyEXd3z8IuReRvpchPy1G2bHnOn/+T5OTcfy8hv1wbgnMFzlCru7snZcuWL9QaRP5uinxIWK3u3HVXxcIuI1s6FRYRZ1fkh5tERCT3FBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYso9LxtfuHCBwYMH88cff3D33XczadIkSpcufUO7OnXqEBgYCEDFihWZNm0aACNHjuSXX37BMAyqVavGhAkTKFGiBKdOneLll1/m0qVL2Gw2/vWvf9GyZcu8lCoiIrlgMQzDyO3GEydOpEyZMkRFRRETE0NSUhLDhg27oV3Dhg3ZtWvXDcuTk5Px8fEBYMKECfj6+hIVFcWoUaOoU6cOTz31FIcPHyYqKor169fnWI/dbpCYmJzb3SlwZcoU58KFy4Vdxi1xpVrBtepVrfnHleotzFrLly9pui5Pw03r1q0jLCwMgLCwMGJjY29r+2sBYRgGV69edSy3WCwkJ2d+2F+6dAk/P7+8lCkiIrmUpzOJJk2asGPHDiDzg/6BBx5wvL5e3bp1qV27Nu7u7kRFRdGmTRvHuldeeYWNGzdSo0YNYmJi8Pb2JiEhgf79+5OUlMSVK1f45JNPuO+++3KsxzAMMjLsud2dAme1umGzuUa9rlQruFa9qjX/uFK9hVmrh4fVdF2O1yQiIiI4e/bsDcujo6OzvLZYLFgslmz7+Pbbb/H39+fEiROEh4cTGBhIlSpVgMxhJpvNxltvvcXKlSvp3r07K1asoGvXrvTr149du3YxfPhwvv76a9zcbn7iYxi4zKkl6FQ4P7lSvao1/7hSvc463JRjSMyePdt0na+vLwkJCfj5+ZGQkEC5cuWybefv7w9A5cqVadq0Kfv27XOEBIDVaqVjx47MmDGD7t27s2TJEmbMmAFkXs9ITU3l/Pnz+Pr65lSuiIjcQXm6JtG6dWuWLVsGwLJlywgODr6hTVJSEmlpaQCcO3eOnTt3EhAQgGEYHDt2DMgcJlq/fj3Vq1cHMu+A2rZtGwBxcXGkpqaaBpCIiOSfPN0CGxUVRXR0NEuWLKFSpUpMmjQJgL1797Jw4ULGjRtHXFwco0ePxmKxYBgGAwYMICAgALvdzssvv0xKSgqGYVCrVi3efPNNAEaMGMFrr73G7NmzsVgsvP3226ZDWSIikn/ydOHa2egW2PzjSrWCa9WrWvOPK9XrrNck9I1rERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERU3kKiQsXLhAZGUloaCiRkZEkJSVl265OnTp06dKFLl26MHDgwBvWjx07loYNGzpep6WlER0dTUhICI8//jgnT57MS5kiIpJLeQqJmJgYgoKCWLNmDUFBQcTExGTbzsvLi+XLl7N8+XKmTZuWZd3evXtvCJfFixdTqlQp1q5dS21qtO0AABJLSURBVEREBO+9915eyhQRkVzKU0isW7eOsLAwAMLCwoiNjb2t7W02GxMnTmTYsGFZlq9fv56uXbsC0LZtW7Zt24ZhGHkpVUREciFPIZGYmIifnx8A5cuXJzExMdt2qampdOvWjZ49e2YJkvnz5xMcHOzo45r4+HgqVqwIgLu7OyVLluT8+fN5KVVERHLBPacGERERnD179obl0dHRWV5bLBYsFku2fXz77bf4+/tz4sQJwsPDCQwMpFixYnzzzTfMmzcvl6XfyGKBMmWK37H+8pvV6uYy9bpSreBa9arW/ONK9TprrTmGxOzZs03X+fr6kpCQgJ+fHwkJCZQrVy7bdv7+/gBUrlyZpk2bsm/fPry8vDh+/DihoaEAXLlyhZCQENauXYu/vz+nT5+mQoUKZGRkcOnSJcqWLZvjzhgGXLhwOcd2zqJMmeIuU68r1QquVa9qzT+uVG9h1lq+fEnTdXkabmrdujXLli0DYNmyZQQHB9/QJikpibS0NADOnTvHzp07CQgIoFWrVmzdupX169ezfv16vL29Wbt2raPfpUuXArB69WoefPBB07MUERHJP3kKiaioKLZu3UpoaCjfffcdUVFRQOYdS6+++ioAcXFxdO/enc6dOxMeHs6AAQMICAi4ab89evTgwoULhISE8Mknn/Cvf/0rL2WKiEguWYwidNuQ3W6QmJhc2GXcMp0K5x9Xqle15h9XqrdIDjeJiEjRppAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJERExpZAQERFTCgkRETGlkBAREVMKCRERMaWQEBERUwoJEREx5Z6XjS9cuMDgwYP5448/uPvuu5k0aRKlS5e+oV2dOnUIDAwEoGLFikybNi3L+rFjx/L555+za9cuAD755BMWL16M1WqlXLlyjB8/nrvvvjsvpYqISC7k6UwiJiaGoKAg1qxZQ1BQEDExMdm28/LyYvny5SxfvvyGgNi7dy9JSUlZltWpU4fPP/+cr776irZt2/Luu+/mpUwREcmlPIXEunXrCAsLAyAsLIzY2Njb2t5mszFx4kSGDRuWZfmDDz6It7c3AA0aNODMmTN5KVNERHIpT8NNiYmJ+Pn5AVC+fHkSExOzbZeamkq3bt1wd3cnKiqKNm3aADB//nyCg4MdfWRnyZIltGjR4pbqsVigTJnit7kXhcdqdXOZel2pVnCtelVr/nGlep211hxDIiIigrNnz96wPDo6Ostri8WCxWLJto9vv/0Wf39/Tpw4QXh4OIGBgRQrVoxvvvmGefPmmb738uXL+eWXX5g/f35OZQJgGHDhwuVbausMypQp7jL1ulKt4Fr1qtb840r1Fmat5cuXNF2XY0jMnj3bdJ2vry8JCQn4+fmRkJBAuXLlsm3n7+8PQOXKlWnatCn79u3Dy8uL48ePExoaCsCVK1cICQlh7dq1AHz33XdMmzaN+fPn4+npmVOZIiKSD/J0TaJ169YsW7YMgGXLlhEcHHxDm6SkJNLS0gA4d+4cO3fuJCAggFatWrF161bWr1/P+vXr8fb2dgTEvn37eP3115k6dSq+vr55KVFERPIgT9ckoqKiiI6OZsmSJVSqVIlJkyYBmXcsLVy4kHHjxhEXF8fo0aOxWCwYhsGAAQMICAi4ab8TJ07k8uXLvPTSS0D2t82KiEj+sxiGYRR2EXeK3W6QmJhc2GXcMo2X5h9Xqle15h9XqtdZr0noG9ciImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmFBIiImJKISEiIqYUEiIit8F7yiQ8tmy6aRuPLZvwnjKpgCrKXwoJEZHbkNGwEaUGhJsGhceWTZQaEE5Gw0YFXFn+UEiIiNyG9OYtuPjxnGyD4lpAXPx4DunNWxRShXdWkXoyXfzFqyz78ThJV9Ip7e1B0pV0GlcuA8BPJy44luX0/9vZJi/97/szBU8Ld7ym/NiPNIMbas3vmvKyH850bHPaxlWO7bVa65YvUSA/H3ndpnHlMrSoWyHfnvb210DIa0A465Pp8vSMa2cTf/EqE9YeumG5BbjdJLydbfK7/4Laxhlrys02zlhTbrZxxppys01h1GQBPN3dmBdZjGqlit1mT7fm+jOKK+H98Z4zs0idQVzztxhuys2p0u1sk9/9F9Q2zlhTbrZxxppys40z1pSbbQqjJgPIsNn54ci5XPR069Kbt+BKeH9K/GciV8L7F7mAgCIWEpa//N/NAh5WCx5Wi2NH/9omL9vkd//aD+2Hs9TkavvhZgF3qxvNqpUjP3ls2YT3nJmkDBmO95yZOd715IqK1HCTXykvXgmp6VRj+a4ybq5rEromURSvSTSsUrbArkmkN29R5C5aQxG7cG23GyQmJhd2GbesMC9U3S5XqhVcq17Vmn/yq16zi9R5uXjtrBeui9Rwk4hIfrtZENzs9lhXpZAQEbkN7rt23vRM4VpQuO/aWcCV5Y8idU1CRCS/XXkhOsc2165RFAU6kxAREVMKCRERMaWQEBERU0XqFlgREbmzdCYhIiKmFBIiImJKISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmXDIkVq1aRceOHalduzZ79+51LN+6dSvdunWjU6dOdOvWjW3btjnW/fLLL3Tq1ImQkBDGjh1LQX49xKxegOnTpxMSEkLbtm3ZvHmzY/mmTZto27YtISEhxMTEFFitf/Xbb7/Rs2dPunTpQrdu3dizZw8AhmEwduxYQkJC6NSpE7/++muh1Xi9efPm0a5dOzp27MjEiRMdy82OszOYNWsWtWrV4ty5zKeoOeOxfeedd2jXrh2dOnXi+eef5+LFi451znhsneXnx8zp06fp06cPHTp0oGPHjsyZMweACxcuEBkZSWhoKJGRkSQlJRVypYDhgg4fPmzExcUZvXv3Nvbs2eNY/uuvvxpnzpwxDMMwDhw4YDRv3tyxrnv37sauXbsMu91u9O/f39iwYUOh13vo0CGjU6dORmpqqnH8+HEjODjYyMjIMDIyMozg4GDj+PHjRmpqqtGpUyfj0KFDBVbv9SIjIx3HasOGDUbv3r0df+7fv79ht9uNXbt2GT169CiU+q63bds2Izw83EhNTTUMwzDOnj1rGIb5cXYGp06dMvr162e0atXKSExMNAzDOY/t5s2bjfT0dMMwDGPixInGxIkTDcNwzmPrTD8/ZuLj441ffvnFMAzDuHTpkhEaGmocOnTIeOedd4zp06cbhmEY06dPdxznwuSSZxI1atSgevXqNyyvW7cu/v7+ANSsWZPU1FTS0tJISEggOTmZBg0aYLFYCAsLY926dYVe77p16+jYsSOenp5UrlyZqlWrsmfPHvbs2UPVqlWpXLkynp6edOzYsUDrvZ7FYiElJQWAS5cu4efn56g9LCwMi8VCgwYNuHjxIgkJCYVS4zULFiwgKioKT09PAHx9fQHz4+wMJkyYwLBhw7BYLI5lznhsmzdvjrt75qTRDRo04MyZM4BzHltn+vkx4+fnx7333guAj48P1atXJz4+3vF3DxAWFkZsbGxhlgm46HDTrVi9ejV169bF09OT+Ph4KlSo4FhXoUIF4uPjC7G6TH+ty9/fn/j4eNPlhWHkyJFMnDiRli1b8s477zBkyBDgxtqd4ZgePXqUHTt28Pjjj9O7d2/Hh5UzHc/rxcbG4ufnR+3atbMsd8Zje73PP/+cFi0yp8F2xmPrjDXdzMmTJ/ntt9+oX78+iYmJjl/EypcvT2JiYiFX58TPk4iIiODs2bM3LI+OjqZNmzY33fbQoUO89957zJo1K7/Ku0Fe6i1sN6v9+++/55VXXqFt27asXLmSV199ldmzZxd8kf9zs1ptNhtJSUksWrSIvXv3Eh0dXei/Qd6s3unTpxfov9Gc3Mq/4alTp2K1WuncuXNBl1ckpaSk8OKLLzJy5Eh8fHyyrLNYLFnOMAuL04ZEbj+Izpw5w6BBg3jnnXeoUqUKkPmbxLXT42ttrg1L3Sm5qfevdcXHxzvqMlueH25W+8svv8yrr74KQPv27XnttdeAgjmm2blZrQsWLCAkJASLxUK9evVwc3Pj/PnzNz3O+c2s3gMHDnDy5Em6dOkCZB6/bt26sXjxYqc8tgBffPEFGzZsYPbs2Y4Pr8I8tmacsabspKen8+KLL9KpUydCQ0OBzCHShIQE/Pz8SEhIoFy5coVcZREbbrp48SJRUVEMHTqUxo0bO5b7+fnh4+PD7t27MQyDZcuWERwcXIiVZmrdujUrVqwgLS2NEydOcPToUerVq8f999/P0aNHOXHiBGlpaaxYsYLWrVsXSo1+fn5s374dgO+//5577rnHUfuyZcswDIPdu3dTsmRJx2lyYWnTpg0//PADAEeOHCE9PZ2yZcuaHufCVKtWLbZt28b69etZv349FSpU4IsvvqB8+fJOeWw3bdrEjBkzmDp1Kt7e3o7lznhsnennx4xhGLz66qtUr16dyMhIx/Jrf/eA03xOueRU4WvXruWtt97i3LlzlCpVijp16jBz5kw++ugjYmJiqFq1qqPtrFmz8PX1Ze/evbzyyitcvXqVFi1aMGrUqAI7lTOrFzJP3z///HOsVisjR46kZcuWAGzcuJHx48djs9no3r07zz77bIHU+lc7duxg/PjxZGRkUKxYMUaPHs19992HYRiMGTOGzZs34+3tzfjx47n//vsLpcZr0tLSGDlyJPv378fDw4Phw4cTFBQEmB9nZ9G6dWuWLFlCuXLlnPLYhoSEkJaWRpkyZQCoX78+Y8aMAZzz2DrLz4+ZHTt28M9//pPAwEDc3DJ/Vx8yZAj16tUjOjqa06dPU6lSJSZNmuQ45oXFJUNCREQKRpEabhIRkTtLISEiIqYUEiIiYkohISIiphQSIiJiSiEhIiKmnPYb1yIF4fz580RERABw9uxZ3NzcKFeuHMePH6dLly688cYb+fK+u3fvZty4caSlpZGWlkaHDh144YUX+OGHH/Dw8KBRo0b58r4it0vfkxD5nylTplC8eHH69++f7+/Vtm1bPvjgA2rXro3NZuPIkSMEBAQUaA0it0JnEiLZ+OGHH5g1axbTp09nypQpnDx5khMnTnD69GleeeUVdu/ezebNm/Hz82PatGl4eHjwyy+/8Pbbb3P58mXKli3LhAkTTKfTOHfuHOXLlwfAarUSEBDAyZMnWbhwIW5ubnz55ZeMGjWK6tWrM3r0aE6dOgVkzsrbuHFjpkyZwvHjxzl+/Djnz5/n6aefpmfPngV2fOTvQyEhcguOHz/O3LlziYuL44knnmDy5MkMHz6c559/no0bN9KyZUvGjh3LRx99RLly5Vi5ciXvv/8+EyZMyLa/8PBw2rVrR9OmTXnkkUfo2rUr//jHP+jVq1eWM4mhQ4cSHh5OkyZNOHXqFP3792fVqlVA5iSBixYt4vLly3Tt2pWWLVs65UR24toUEiK3oEWLFnh4eBAYGIjNZnM8TyEwMJCTJ09y5MgRDh486JiszW63O84UsjNo0CA6d+7Mli1b+Prrr1mxYgXz5s27od13333H4cOHHa+Tk5MdD4EKDg7Gy8sLLy8vmjVrxt69exUScscpJERuwbWn3bm5ueHh4eGYHNLNzQ2bzYZhGNSsWZPPPvvslvusUqUKTz31FD179iQoKIjz58/f0MZut7No0SKKFSt2wzpneNaAFH26BVbkDqhWrRrnzp1j165dQOazAg4dOmTafsOGDVy7Z+TYsWO4ublRqlQpSpQo4ThTgMzHhl5/hvHbb785/rxu3TpSU1M5f/4827dvL/SZYqVo0pmEyB3g6enJ5MmTGTt2LJcuXcJmsxEeHk7NmjWzbb98+XImTJiAl5cXVquV9957D6vVyqOPPsqLL77IunXrGDVqFK+++ipjxoyhU6dO2Gw2mjRp4piiu1atWvTt25fz58/z3HPPaahJ8oVugRVxQbpVVgqKhptERMSUziRE8tGbb77Jzp07syzr27cv3bt3L6SKRG6PQkJERExpuElEREwpJERExJRCQkRETCkkRETE1P8DfboJqr9UPZ0AAAAASUVORK5CYII=\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "_KXWQVmyCSix"
+      },
+      "source": [
+        "# **MultiStep Forcasting**"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "Lu7m2Rr4AbMK",
+        "outputId": "8e070f0a-fc5e-47a3-e330-ea8c8803c2c8"
+      },
+      "source": [
+        "future_target = 72 # 72 future values\n",
+        "x_train_multi, y_train_multi = mutlivariate_data(features, features[:, 1], 0,\n",
+        "                                                 train_split, history,\n",
+        "                                                 future_target, STEP)\n",
+        "x_val_multi, y_val_multi = mutlivariate_data(features, features[:, 1],\n",
+        "                                             train_split, None, history,\n",
+        "                                             future_target, STEP)\n",
+        "\n",
+        "print(x_train_multi.shape)\n",
+        "print(y_train_multi.shape)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "(140880, 120, 4)\n",
+            "(140880, 72)\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "GLRv5D16CrHj"
+      },
+      "source": [
+        "#  TF DATASET\n",
+        "\n",
+        "train_data_multi = tf.data.Dataset.from_tensor_slices((x_train_multi, y_train_multi))\n",
+        "train_data_multi = train_data_multi.cache().shuffle(buffer_size).batch(batch_size).repeat()\n",
+        "\n",
+        "val_data_multi = tf.data.Dataset.from_tensor_slices((x_val_multi, y_val_multi))\n",
+        "val_data_multi = val_data_multi.batch(batch_size).repeat()"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "fjXexah9C8yg",
+        "outputId": "ed05331e-fdf2-460f-a2f5-4bac3be78bc8"
+      },
+      "source": [
+        "print(train_data_multi)\n",
+        "print(val_data_multi)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "<RepeatDataset shapes: ((None, 120, 4), (None, 72)), types: (tf.float64, tf.float64)>\n",
+            "<RepeatDataset shapes: ((None, 120, 4), (None, 72)), types: (tf.float64, tf.float64)>\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 385
+        },
+        "id": "7mtLZ6S-DPU-",
+        "outputId": "02416632-1109-425e-af81-0f17a79e3120"
+      },
+      "source": [
+        "#plotting function\n",
+        "def multi_step_plot(history, true_future, prediction):\n",
+        "  plt.figure(figsize=(12, 6))\n",
+        "  num_in = create_time_steps(len(history))\n",
+        "  num_out = len(true_future)\n",
+        "  plt.grid()\n",
+        "  plt.plot(num_in, np.array(history[:, 1]), label='History')\n",
+        "  plt.plot(np.arange(num_out)/STEP, np.array(true_future), 'bo',\n",
+        "           label='True Future')\n",
+        "  if prediction.any():\n",
+        "    plt.plot(np.arange(num_out)/STEP, np.array(prediction), 'ro',\n",
+        "             label='Predicted Future')\n",
+        "  plt.legend(loc='upper left')\n",
+        "  plt.show()\n",
+        "  \n",
+        "\n",
+        "\n",
+        "for x, y in train_data_multi.take(1):\n",
+        "  multi_step_plot(x[0], y[0], np.array([0]))"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "image/png": "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\n",
+            "text/plain": [
+              "<Figure size 864x432 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "snN_Flr5DWQN",
+        "outputId": "87a55e55-7cfd-4c10-9b15-db992065dd67"
+      },
+      "source": [
+        "multi_step_model = tf.keras.models.Sequential()\n",
+        "\n",
+        "\n",
+        "multi_step_model.add(Conv1D(filters=64, kernel_size=2, activation='relu', input_shape=x_train_ss.shape[-2:]))\n",
+        "multi_step_model.add(MaxPooling1D(pool_size=2))\n",
+        "multi_step_model.add(Flatten())\n",
+        "multi_step_model.add(Dense(50, activation='relu'))\n",
+        "multi_step_model.add(Dense(1))\n",
+        "multi_step_model.compile(optimizer='adam', loss='mae',metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
+        "\n",
+        "\n",
+        "#multi_step_model.add(tf.keras.layers.LSTM(32,\n",
+        " #                                         return_sequences=True,\n",
+        "  #                                        input_shape=x_train_multi.shape[-2:]))\n",
+        "#multi_step_model.add(tf.keras.layers.LSTM(16, activation='relu'))\n",
+        "#aDD dropout layer (0.3)\n",
+        "#multi_step_model.add(tf.keras.layers.Dense(72)) # for 72 outputs\n",
+        "\n",
+        "#multi_step_model.compile(optimizer=tf.keras.optimizers.RMSprop(clipvalue=1.0), loss='mae',metrics=[tf.keras.metrics.RootMeanSquaredError(name='rmse')])\n",
+        "\n",
+        "multi_step_history = multi_step_model.fit(train_data_multi, epochs=EPOCHS,\n",
+        "                                          steps_per_epoch=steps,\n",
+        "                                          validation_data=val_data_multi,\n",
+        "                                          validation_steps=50)"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Epoch 1/20\n",
+            "50/50 [==============================] - 3s 50ms/step - loss: 0.1172 - rmse: 0.1745 - val_loss: 0.0284 - val_rmse: 0.0356\n",
+            "Epoch 2/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0441 - rmse: 0.0501 - val_loss: 0.0656 - val_rmse: 0.0727\n",
+            "Epoch 3/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0327 - rmse: 0.0378 - val_loss: 0.0332 - val_rmse: 0.0391\n",
+            "Epoch 4/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0278 - rmse: 0.0319 - val_loss: 0.0291 - val_rmse: 0.0337\n",
+            "Epoch 5/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0176 - rmse: 0.0209 - val_loss: 0.0173 - val_rmse: 0.0207\n",
+            "Epoch 6/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0184 - rmse: 0.0213 - val_loss: 0.0162 - val_rmse: 0.0193\n",
+            "Epoch 7/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0151 - rmse: 0.0185 - val_loss: 0.0086 - val_rmse: 0.0108\n",
+            "Epoch 8/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0096 - rmse: 0.0123 - val_loss: 0.0079 - val_rmse: 0.0099\n",
+            "Epoch 9/20\n",
+            "50/50 [==============================] - 2s 45ms/step - loss: 0.0145 - rmse: 0.0188 - val_loss: 0.0245 - val_rmse: 0.0257\n",
+            "Epoch 10/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0106 - rmse: 0.0141 - val_loss: 0.0079 - val_rmse: 0.0096\n",
+            "Epoch 11/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0085 - rmse: 0.0103 - val_loss: 0.0151 - val_rmse: 0.0161\n",
+            "Epoch 12/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0297 - rmse: 0.0410 - val_loss: 0.0295 - val_rmse: 0.0303\n",
+            "Epoch 13/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0121 - rmse: 0.0153 - val_loss: 0.0346 - val_rmse: 0.0351\n",
+            "Epoch 14/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0222 - rmse: 0.0265 - val_loss: 0.0098 - val_rmse: 0.0115\n",
+            "Epoch 15/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0221 - rmse: 0.0244 - val_loss: 0.0078 - val_rmse: 0.0098\n",
+            "Epoch 16/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0190 - rmse: 0.0214 - val_loss: 0.0331 - val_rmse: 0.0342\n",
+            "Epoch 17/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0108 - rmse: 0.0131 - val_loss: 0.0111 - val_rmse: 0.0126\n",
+            "Epoch 18/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0083 - rmse: 0.0104 - val_loss: 0.0059 - val_rmse: 0.0074\n",
+            "Epoch 19/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0057 - rmse: 0.0071 - val_loss: 0.0112 - val_rmse: 0.0123\n",
+            "Epoch 20/20\n",
+            "50/50 [==============================] - 2s 44ms/step - loss: 0.0055 - rmse: 0.0068 - val_loss: 0.0045 - val_rmse: 0.0056\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 281
+        },
+        "id": "Ay5m27doDsTt",
+        "outputId": "9b8f5274-03f9-427f-84ce-6dfafc9e7b45"
+      },
+      "source": [
+        "plot_loss(multi_step_history, 'Multi-Step Training and validation loss')"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "image/png": "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\n",
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ]
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "6ZFP49W4D2wp"
+      },
+      "source": [
+        "for x, y in val_data_multi.take(5):\n",
+        "  multi_step_plot(x[0], y[0], multi_step_model.predict(x)[0])"
+      ],
+      "execution_count": null,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "DNKMjVoAVqZP",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "403d8d4d-ca00-40d2-a179-f13879819f15"
+      },
+      "source": [
+        "scores = multi_step_model.evaluate(x_train_multi, y_train_multi, verbose=1, batch_size=200)\n",
+        "print('MAE: {}'.format(scores[1]))"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "705/705 [==============================] - 6s 8ms/step - loss: 0.0110 - rmse: 0.0279\n",
+            "MAE: 0.027902377769351006\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "oDXXSFLy07gH",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "47b9dcf3-cc67-43d3-e88a-8b51ea85a993"
+      },
+      "source": [
+        "scores_test = multi_step_model.evaluate(x_val_multi, y_val_multi, verbose=1, batch_size=200)\n",
+        "print('MAE: {}'.format(scores[1]))\n"
+      ],
+      "execution_count": null,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "174/174 [==============================] - 1s 8ms/step - loss: 0.0057 - rmse: 0.0125\n",
+            "MAE: 0.027902377769351006\n"
+          ]
+        }
+      ]
+    }
+  ]
+}
\ No newline at end of file