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   "cell_type": "markdown",
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    "id": "FJogEfYBOfUm"
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   "source": [
    "# Chapter 8: Winningest Methods in Time Series Forecasting\n",
    "\n",
    "Compiled by: Sebastian C. Ibañez\n",
    "\n",
    "In previous sections, we examined several models used in time series forecasting such as ARIMA, VAR, and Exponential Smoothing methods. While the main advantage of traditional statistical methods is their ability to perform more sophisticated inference tasks directly (e.g. hypothesis testing on parameters, causality testing), they usually lack predictive power because of their rigid assumptions. That is not to say that they are <i>necessarily</i> inferior when it comes to forecasting, but rather they are typically used as performance benchmarks.\n",
    "\n",
    "In this section, we demonstrate several of the fundamental ideas and approaches used in the recently concluded [`M5 Competition`](https://mofc.unic.ac.cy/m5-competition/) where challengers from all over the world competed in building time series forecasting models for both [`accuracy`](https://www.kaggle.com/c/m5-forecasting-accuracy) and [`uncertainty`](https://www.kaggle.com/c/m5-forecasting-uncertainty) prediction tasks. Specifically, we explore the machine learning model that majority of the competition's winners utilized: [`LightGBM`](https://lightgbm.readthedocs.io/en/latest/index.html), a tree-based gradient boosting framework designed for speed and efficiency."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "olkHffRbOfUr"
   },
   "source": [
    "## 1. M5 Dataset\n",
    "\n",
    "You can download the M5 dataset from the Kaggle links above. \n",
    "\n",
    "Let's load the dataset and examine it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "floWkFlxOfUs"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plot_x_size = 15\n",
    "plot_y_size = 2\n",
    "\n",
    "np.set_printoptions(precision = 6, suppress = True)\n",
    "\n",
    "date_list = [d.strftime('%Y-%m-%d') for d in pd.date_range(start = '2011-01-29', end = '2016-04-24')]\n",
    "\n",
    "df_calendar = pd.read_csv('../data/m5/calendar.csv')\n",
    "df_price = pd.read_csv('../data/m5/sell_prices.csv')\n",
    "df_sales = pd.read_csv('../data/m5/sales_train_validation.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
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     "height": 456
    },
    "id": "mjsCtvwkOfUt",
    "outputId": "506c2c09-de24-4f59-956c-55fe6242e08f"
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       "      <th>3</th>\n",
       "      <td>HOBBIES_1_004_CA_1_validation</td>\n",
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       "      <td>HOBBIES</td>\n",
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      ],
      "text/plain": [
       "                                  id        item_id    dept_id   cat_id  \\\n",
       "0      HOBBIES_1_001_CA_1_validation  HOBBIES_1_001  HOBBIES_1  HOBBIES   \n",
       "1      HOBBIES_1_002_CA_1_validation  HOBBIES_1_002  HOBBIES_1  HOBBIES   \n",
       "2      HOBBIES_1_003_CA_1_validation  HOBBIES_1_003  HOBBIES_1  HOBBIES   \n",
       "3      HOBBIES_1_004_CA_1_validation  HOBBIES_1_004  HOBBIES_1  HOBBIES   \n",
       "4      HOBBIES_1_005_CA_1_validation  HOBBIES_1_005  HOBBIES_1  HOBBIES   \n",
       "...                              ...            ...        ...      ...   \n",
       "30485    FOODS_3_823_WI_3_validation    FOODS_3_823    FOODS_3    FOODS   \n",
       "30486    FOODS_3_824_WI_3_validation    FOODS_3_824    FOODS_3    FOODS   \n",
       "30487    FOODS_3_825_WI_3_validation    FOODS_3_825    FOODS_3    FOODS   \n",
       "30488    FOODS_3_826_WI_3_validation    FOODS_3_826    FOODS_3    FOODS   \n",
       "30489    FOODS_3_827_WI_3_validation    FOODS_3_827    FOODS_3    FOODS   \n",
       "\n",
       "      store_id state_id  2011-01-29  2011-01-30  2011-01-31  2011-02-01  ...  \\\n",
       "0         CA_1       CA           0           0           0           0  ...   \n",
       "1         CA_1       CA           0           0           0           0  ...   \n",
       "2         CA_1       CA           0           0           0           0  ...   \n",
       "3         CA_1       CA           0           0           0           0  ...   \n",
       "4         CA_1       CA           0           0           0           0  ...   \n",
       "...        ...      ...         ...         ...         ...         ...  ...   \n",
       "30485     WI_3       WI           0           0           2           2  ...   \n",
       "30486     WI_3       WI           0           0           0           0  ...   \n",
       "30487     WI_3       WI           0           6           0           2  ...   \n",
       "30488     WI_3       WI           0           0           0           0  ...   \n",
       "30489     WI_3       WI           0           0           0           0  ...   \n",
       "\n",
       "       2016-04-15  2016-04-16  2016-04-17  2016-04-18  2016-04-19  2016-04-20  \\\n",
       "0               1           3           0           1           1           1   \n",
       "1               0           0           0           0           0           1   \n",
       "2               2           1           2           1           1           1   \n",
       "3               1           0           5           4           1           0   \n",
       "4               2           1           1           0           1           1   \n",
       "...           ...         ...         ...         ...         ...         ...   \n",
       "30485           2           0           0           0           0           0   \n",
       "30486           0           0           0           0           0           0   \n",
       "30487           2           1           0           2           0           1   \n",
       "30488           0           0           1           0           0           1   \n",
       "30489           0           0           0           0           0           0   \n",
       "\n",
       "       2016-04-21  2016-04-22  2016-04-23  2016-04-24  \n",
       "0               3           0           1           1  \n",
       "1               0           0           0           0  \n",
       "2               0           1           1           1  \n",
       "3               1           3           7           2  \n",
       "4               2           2           2           4  \n",
       "...           ...         ...         ...         ...  \n",
       "30485           1           0           0           1  \n",
       "30486           0           0           1           0  \n",
       "30487           0           0           1           0  \n",
       "30488           0           3           1           3  \n",
       "30489           0           0           0           0  \n",
       "\n",
       "[30490 rows x 1919 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
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    }
   ],
   "source": [
    "df_sales.rename(columns = dict(zip(df_sales.columns[6:], date_list)), inplace = True)\n",
    "df_sales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2011-02-01</td>\n",
       "      <td>11101</td>\n",
       "      <td>Tuesday</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>2011</td>\n",
       "      <td>d_4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2011-02-02</td>\n",
       "      <td>11101</td>\n",
       "      <td>Wednesday</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2011</td>\n",
       "      <td>d_5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>0</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",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1964</th>\n",
       "      <td>2016-06-15</td>\n",
       "      <td>11620</td>\n",
       "      <td>Wednesday</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>2016</td>\n",
       "      <td>d_1965</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1965</th>\n",
       "      <td>2016-06-16</td>\n",
       "      <td>11620</td>\n",
       "      <td>Thursday</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>2016</td>\n",
       "      <td>d_1966</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1966</th>\n",
       "      <td>2016-06-17</td>\n",
       "      <td>11620</td>\n",
       "      <td>Friday</td>\n",
       "      <td>7</td>\n",
       "      <td>6</td>\n",
       "      <td>2016</td>\n",
       "      <td>d_1967</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1967</th>\n",
       "      <td>2016-06-18</td>\n",
       "      <td>11621</td>\n",
       "      <td>Saturday</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>2016</td>\n",
       "      <td>d_1968</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1968</th>\n",
       "      <td>2016-06-19</td>\n",
       "      <td>11621</td>\n",
       "      <td>Sunday</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>2016</td>\n",
       "      <td>d_1969</td>\n",
       "      <td>NBAFinalsEnd</td>\n",
       "      <td>Sporting</td>\n",
       "      <td>Father's day</td>\n",
       "      <td>Cultural</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1969 rows × 14 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            date  wm_yr_wk    weekday  wday  month  year       d  \\\n",
       "0     2011-01-29     11101   Saturday     1      1  2011     d_1   \n",
       "1     2011-01-30     11101     Sunday     2      1  2011     d_2   \n",
       "2     2011-01-31     11101     Monday     3      1  2011     d_3   \n",
       "3     2011-02-01     11101    Tuesday     4      2  2011     d_4   \n",
       "4     2011-02-02     11101  Wednesday     5      2  2011     d_5   \n",
       "...          ...       ...        ...   ...    ...   ...     ...   \n",
       "1964  2016-06-15     11620  Wednesday     5      6  2016  d_1965   \n",
       "1965  2016-06-16     11620   Thursday     6      6  2016  d_1966   \n",
       "1966  2016-06-17     11620     Friday     7      6  2016  d_1967   \n",
       "1967  2016-06-18     11621   Saturday     1      6  2016  d_1968   \n",
       "1968  2016-06-19     11621     Sunday     2      6  2016  d_1969   \n",
       "\n",
       "      event_name_1 event_type_1  event_name_2 event_type_2  snap_CA  snap_TX  \\\n",
       "0              NaN          NaN           NaN          NaN        0        0   \n",
       "1              NaN          NaN           NaN          NaN        0        0   \n",
       "2              NaN          NaN           NaN          NaN        0        0   \n",
       "3              NaN          NaN           NaN          NaN        1        1   \n",
       "4              NaN          NaN           NaN          NaN        1        0   \n",
       "...            ...          ...           ...          ...      ...      ...   \n",
       "1964           NaN          NaN           NaN          NaN        0        1   \n",
       "1965           NaN          NaN           NaN          NaN        0        0   \n",
       "1966           NaN          NaN           NaN          NaN        0        0   \n",
       "1967           NaN          NaN           NaN          NaN        0        0   \n",
       "1968  NBAFinalsEnd     Sporting  Father's day     Cultural        0        0   \n",
       "\n",
       "      snap_WI  \n",
       "0           0  \n",
       "1           0  \n",
       "2           0  \n",
       "3           0  \n",
       "4           1  \n",
       "...       ...  \n",
       "1964        1  \n",
       "1965        0  \n",
       "1966        0  \n",
       "1967        0  \n",
       "1968        0  \n",
       "\n",
       "[1969 rows x 14 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_calendar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>store_id</th>\n",
       "      <th>item_id</th>\n",
       "      <th>wm_yr_wk</th>\n",
       "      <th>sell_price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>CA_1</td>\n",
       "      <td>HOBBIES_1_001</td>\n",
       "      <td>11325</td>\n",
       "      <td>9.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>CA_1</td>\n",
       "      <td>HOBBIES_1_001</td>\n",
       "      <td>11326</td>\n",
       "      <td>9.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>CA_1</td>\n",
       "      <td>HOBBIES_1_001</td>\n",
       "      <td>11327</td>\n",
       "      <td>8.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>CA_1</td>\n",
       "      <td>HOBBIES_1_001</td>\n",
       "      <td>11328</td>\n",
       "      <td>8.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>CA_1</td>\n",
       "      <td>HOBBIES_1_001</td>\n",
       "      <td>11329</td>\n",
       "      <td>8.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6841116</th>\n",
       "      <td>WI_3</td>\n",
       "      <td>FOODS_3_827</td>\n",
       "      <td>11617</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6841117</th>\n",
       "      <td>WI_3</td>\n",
       "      <td>FOODS_3_827</td>\n",
       "      <td>11618</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6841118</th>\n",
       "      <td>WI_3</td>\n",
       "      <td>FOODS_3_827</td>\n",
       "      <td>11619</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6841119</th>\n",
       "      <td>WI_3</td>\n",
       "      <td>FOODS_3_827</td>\n",
       "      <td>11620</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6841120</th>\n",
       "      <td>WI_3</td>\n",
       "      <td>FOODS_3_827</td>\n",
       "      <td>11621</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6841121 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        store_id        item_id  wm_yr_wk  sell_price\n",
       "0           CA_1  HOBBIES_1_001     11325        9.58\n",
       "1           CA_1  HOBBIES_1_001     11326        9.58\n",
       "2           CA_1  HOBBIES_1_001     11327        8.26\n",
       "3           CA_1  HOBBIES_1_001     11328        8.26\n",
       "4           CA_1  HOBBIES_1_001     11329        8.26\n",
       "...          ...            ...       ...         ...\n",
       "6841116     WI_3    FOODS_3_827     11617        1.00\n",
       "6841117     WI_3    FOODS_3_827     11618        1.00\n",
       "6841118     WI_3    FOODS_3_827     11619        1.00\n",
       "6841119     WI_3    FOODS_3_827     11620        1.00\n",
       "6841120     WI_3    FOODS_3_827     11621        1.00\n",
       "\n",
       "[6841121 rows x 4 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_price"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "u95dxURfOfUu"
   },
   "source": [
    "#### Sample Product\n",
    "\n",
    "Let's choose a random product and plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "voNbIA1TOfUu",
    "outputId": "3ca5b139-9034-473a-f168-fdcfaa1e504b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id            HOBBIES_1_004_CA_1_validation\n",
       "item_id                       HOBBIES_1_004\n",
       "dept_id                           HOBBIES_1\n",
       "cat_id                              HOBBIES\n",
       "store_id                               CA_1\n",
       "                          ...              \n",
       "2016-04-20                                0\n",
       "2016-04-21                                1\n",
       "2016-04-22                                3\n",
       "2016-04-23                                7\n",
       "2016-04-24                                2\n",
       "Name: 3, Length: 1919, dtype: object"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_sample = df_sales.iloc[3, :]\n",
    "series_sample = df_sample.iloc[6:]\n",
    "\n",
    "df_sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 320
    },
    "id": "KCkY84feOfUu",
    "outputId": "5d2434f7-ef7a-47a8-9e80-46a4d23e91b7",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series_sample.plot()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "45kPq4yYOfUv"
   },
   "source": [
    "#### Pick a Time Series\n",
    "\n",
    "Let's try and find an interesting time series to forecast."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 456
    },
    "id": "zvLKxPr9OfUv",
    "outputId": "a44bace7-fa45-489d-96fc-74585a410285"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>2011-01-29</th>\n",
       "      <th>2011-01-30</th>\n",
       "      <th>2011-01-31</th>\n",
       "      <th>2011-02-01</th>\n",
       "      <th>2011-02-02</th>\n",
       "      <th>2011-02-03</th>\n",
       "      <th>2011-02-04</th>\n",
       "      <th>2011-02-05</th>\n",
       "      <th>2011-02-06</th>\n",
       "      <th>2011-02-07</th>\n",
       "      <th>...</th>\n",
       "      <th>2016-04-15</th>\n",
       "      <th>2016-04-16</th>\n",
       "      <th>2016-04-17</th>\n",
       "      <th>2016-04-18</th>\n",
       "      <th>2016-04-19</th>\n",
       "      <th>2016-04-20</th>\n",
       "      <th>2016-04-21</th>\n",
       "      <th>2016-04-22</th>\n",
       "      <th>2016-04-23</th>\n",
       "      <th>2016-04-24</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>store_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>CA_1</th>\n",
       "      <td>4337</td>\n",
       "      <td>4155</td>\n",
       "      <td>2816</td>\n",
       "      <td>3051</td>\n",
       "      <td>2630</td>\n",
       "      <td>3276</td>\n",
       "      <td>3450</td>\n",
       "      <td>5437</td>\n",
       "      <td>4340</td>\n",
       "      <td>3157</td>\n",
       "      <td>...</td>\n",
       "      <td>3982</td>\n",
       "      <td>5437</td>\n",
       "      <td>5954</td>\n",
       "      <td>4345</td>\n",
       "      <td>3793</td>\n",
       "      <td>3722</td>\n",
       "      <td>3709</td>\n",
       "      <td>4387</td>\n",
       "      <td>5577</td>\n",
       "      <td>6113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CA_2</th>\n",
       "      <td>3494</td>\n",
       "      <td>3046</td>\n",
       "      <td>2121</td>\n",
       "      <td>2324</td>\n",
       "      <td>1942</td>\n",
       "      <td>2288</td>\n",
       "      <td>2629</td>\n",
       "      <td>3729</td>\n",
       "      <td>2957</td>\n",
       "      <td>2218</td>\n",
       "      <td>...</td>\n",
       "      <td>4440</td>\n",
       "      <td>5352</td>\n",
       "      <td>5760</td>\n",
       "      <td>3830</td>\n",
       "      <td>3631</td>\n",
       "      <td>3691</td>\n",
       "      <td>3303</td>\n",
       "      <td>4457</td>\n",
       "      <td>5884</td>\n",
       "      <td>6082</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CA_3</th>\n",
       "      <td>4739</td>\n",
       "      <td>4827</td>\n",
       "      <td>3785</td>\n",
       "      <td>4232</td>\n",
       "      <td>3817</td>\n",
       "      <td>4369</td>\n",
       "      <td>4703</td>\n",
       "      <td>5456</td>\n",
       "      <td>5581</td>\n",
       "      <td>4912</td>\n",
       "      <td>...</td>\n",
       "      <td>5337</td>\n",
       "      <td>6936</td>\n",
       "      <td>8271</td>\n",
       "      <td>6068</td>\n",
       "      <td>5683</td>\n",
       "      <td>5235</td>\n",
       "      <td>5018</td>\n",
       "      <td>5623</td>\n",
       "      <td>7419</td>\n",
       "      <td>7721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CA_4</th>\n",
       "      <td>1625</td>\n",
       "      <td>1777</td>\n",
       "      <td>1386</td>\n",
       "      <td>1440</td>\n",
       "      <td>1536</td>\n",
       "      <td>1389</td>\n",
       "      <td>1469</td>\n",
       "      <td>1988</td>\n",
       "      <td>1818</td>\n",
       "      <td>1535</td>\n",
       "      <td>...</td>\n",
       "      <td>2496</td>\n",
       "      <td>2839</td>\n",
       "      <td>3047</td>\n",
       "      <td>2809</td>\n",
       "      <td>2677</td>\n",
       "      <td>2500</td>\n",
       "      <td>2458</td>\n",
       "      <td>2628</td>\n",
       "      <td>2954</td>\n",
       "      <td>3271</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TX_1</th>\n",
       "      <td>2556</td>\n",
       "      <td>2687</td>\n",
       "      <td>1822</td>\n",
       "      <td>2258</td>\n",
       "      <td>1694</td>\n",
       "      <td>2734</td>\n",
       "      <td>1691</td>\n",
       "      <td>2820</td>\n",
       "      <td>2887</td>\n",
       "      <td>2174</td>\n",
       "      <td>...</td>\n",
       "      <td>3084</td>\n",
       "      <td>3724</td>\n",
       "      <td>4192</td>\n",
       "      <td>3410</td>\n",
       "      <td>3257</td>\n",
       "      <td>2901</td>\n",
       "      <td>2776</td>\n",
       "      <td>3022</td>\n",
       "      <td>3700</td>\n",
       "      <td>4033</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TX_2</th>\n",
       "      <td>3852</td>\n",
       "      <td>3937</td>\n",
       "      <td>2731</td>\n",
       "      <td>2954</td>\n",
       "      <td>2492</td>\n",
       "      <td>3439</td>\n",
       "      <td>2588</td>\n",
       "      <td>3772</td>\n",
       "      <td>3657</td>\n",
       "      <td>2932</td>\n",
       "      <td>...</td>\n",
       "      <td>3897</td>\n",
       "      <td>4475</td>\n",
       "      <td>4998</td>\n",
       "      <td>3311</td>\n",
       "      <td>3727</td>\n",
       "      <td>3384</td>\n",
       "      <td>3446</td>\n",
       "      <td>3902</td>\n",
       "      <td>4483</td>\n",
       "      <td>4292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TX_3</th>\n",
       "      <td>3030</td>\n",
       "      <td>3006</td>\n",
       "      <td>2225</td>\n",
       "      <td>2169</td>\n",
       "      <td>1726</td>\n",
       "      <td>2833</td>\n",
       "      <td>1947</td>\n",
       "      <td>2848</td>\n",
       "      <td>2832</td>\n",
       "      <td>2213</td>\n",
       "      <td>...</td>\n",
       "      <td>3819</td>\n",
       "      <td>4261</td>\n",
       "      <td>4519</td>\n",
       "      <td>3147</td>\n",
       "      <td>3938</td>\n",
       "      <td>3315</td>\n",
       "      <td>3380</td>\n",
       "      <td>3691</td>\n",
       "      <td>4083</td>\n",
       "      <td>3957</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WI_1</th>\n",
       "      <td>2704</td>\n",
       "      <td>2194</td>\n",
       "      <td>1562</td>\n",
       "      <td>1251</td>\n",
       "      <td>2</td>\n",
       "      <td>2049</td>\n",
       "      <td>2815</td>\n",
       "      <td>3248</td>\n",
       "      <td>1674</td>\n",
       "      <td>1355</td>\n",
       "      <td>...</td>\n",
       "      <td>3862</td>\n",
       "      <td>4862</td>\n",
       "      <td>4812</td>\n",
       "      <td>3236</td>\n",
       "      <td>3069</td>\n",
       "      <td>3242</td>\n",
       "      <td>3324</td>\n",
       "      <td>3991</td>\n",
       "      <td>4772</td>\n",
       "      <td>4874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WI_2</th>\n",
       "      <td>2256</td>\n",
       "      <td>1922</td>\n",
       "      <td>2018</td>\n",
       "      <td>2522</td>\n",
       "      <td>1175</td>\n",
       "      <td>2244</td>\n",
       "      <td>2232</td>\n",
       "      <td>2643</td>\n",
       "      <td>2140</td>\n",
       "      <td>1836</td>\n",
       "      <td>...</td>\n",
       "      <td>6259</td>\n",
       "      <td>5579</td>\n",
       "      <td>5566</td>\n",
       "      <td>4347</td>\n",
       "      <td>4464</td>\n",
       "      <td>4194</td>\n",
       "      <td>4393</td>\n",
       "      <td>4988</td>\n",
       "      <td>5404</td>\n",
       "      <td>5127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WI_3</th>\n",
       "      <td>4038</td>\n",
       "      <td>4198</td>\n",
       "      <td>3317</td>\n",
       "      <td>3211</td>\n",
       "      <td>2132</td>\n",
       "      <td>4590</td>\n",
       "      <td>4486</td>\n",
       "      <td>5991</td>\n",
       "      <td>4850</td>\n",
       "      <td>3240</td>\n",
       "      <td>...</td>\n",
       "      <td>4613</td>\n",
       "      <td>4897</td>\n",
       "      <td>4521</td>\n",
       "      <td>3556</td>\n",
       "      <td>3331</td>\n",
       "      <td>3159</td>\n",
       "      <td>3226</td>\n",
       "      <td>3828</td>\n",
       "      <td>4686</td>\n",
       "      <td>4325</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10 rows × 1913 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          2011-01-29  2011-01-30  2011-01-31  2011-02-01  2011-02-02  \\\n",
       "store_id                                                               \n",
       "CA_1            4337        4155        2816        3051        2630   \n",
       "CA_2            3494        3046        2121        2324        1942   \n",
       "CA_3            4739        4827        3785        4232        3817   \n",
       "CA_4            1625        1777        1386        1440        1536   \n",
       "TX_1            2556        2687        1822        2258        1694   \n",
       "TX_2            3852        3937        2731        2954        2492   \n",
       "TX_3            3030        3006        2225        2169        1726   \n",
       "WI_1            2704        2194        1562        1251           2   \n",
       "WI_2            2256        1922        2018        2522        1175   \n",
       "WI_3            4038        4198        3317        3211        2132   \n",
       "\n",
       "          2011-02-03  2011-02-04  2011-02-05  2011-02-06  2011-02-07  ...  \\\n",
       "store_id                                                              ...   \n",
       "CA_1            3276        3450        5437        4340        3157  ...   \n",
       "CA_2            2288        2629        3729        2957        2218  ...   \n",
       "CA_3            4369        4703        5456        5581        4912  ...   \n",
       "CA_4            1389        1469        1988        1818        1535  ...   \n",
       "TX_1            2734        1691        2820        2887        2174  ...   \n",
       "TX_2            3439        2588        3772        3657        2932  ...   \n",
       "TX_3            2833        1947        2848        2832        2213  ...   \n",
       "WI_1            2049        2815        3248        1674        1355  ...   \n",
       "WI_2            2244        2232        2643        2140        1836  ...   \n",
       "WI_3            4590        4486        5991        4850        3240  ...   \n",
       "\n",
       "          2016-04-15  2016-04-16  2016-04-17  2016-04-18  2016-04-19  \\\n",
       "store_id                                                               \n",
       "CA_1            3982        5437        5954        4345        3793   \n",
       "CA_2            4440        5352        5760        3830        3631   \n",
       "CA_3            5337        6936        8271        6068        5683   \n",
       "CA_4            2496        2839        3047        2809        2677   \n",
       "TX_1            3084        3724        4192        3410        3257   \n",
       "TX_2            3897        4475        4998        3311        3727   \n",
       "TX_3            3819        4261        4519        3147        3938   \n",
       "WI_1            3862        4862        4812        3236        3069   \n",
       "WI_2            6259        5579        5566        4347        4464   \n",
       "WI_3            4613        4897        4521        3556        3331   \n",
       "\n",
       "          2016-04-20  2016-04-21  2016-04-22  2016-04-23  2016-04-24  \n",
       "store_id                                                              \n",
       "CA_1            3722        3709        4387        5577        6113  \n",
       "CA_2            3691        3303        4457        5884        6082  \n",
       "CA_3            5235        5018        5623        7419        7721  \n",
       "CA_4            2500        2458        2628        2954        3271  \n",
       "TX_1            2901        2776        3022        3700        4033  \n",
       "TX_2            3384        3446        3902        4483        4292  \n",
       "TX_3            3315        3380        3691        4083        3957  \n",
       "WI_1            3242        3324        3991        4772        4874  \n",
       "WI_2            4194        4393        4988        5404        5127  \n",
       "WI_3            3159        3226        3828        4686        4325  \n",
       "\n",
       "[10 rows x 1913 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_sales_total_by_store = df_sales.groupby(['store_id']).sum()\n",
    "df_sales_total_by_store"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 320
    },
    "id": "E9SaQDUZOfUv",
    "outputId": "045f4531-41c2-4125-96a7-cee43f50804b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [plot_x_size, 4]\n",
    "\n",
    "df_sales_total_by_store.T.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 354
    },
    "id": "zoxgHBtrOfUw",
    "outputId": "7eb0faf1-c21d-4ca8-80dc-3de487be64ea"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CA_1\n",
      "Min Dates:['2011-12-25', '2012-12-25', '2013-12-25', '2014-12-25', '2015-12-25']\n"
     ]
    },
    {
     "data": {
      "image/png": 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dW8uVJAxBLqe66wZ9BmxjSGsmd2isbnnt0/PwwfKdTXY5tiwOy+LgnMv5tHpnlTu2slAQq+pTqE6k8SuH7coG3vf+zpLt6H/r9MCC1NLNkjHXJdey5NrjNXbpSmFIt95oSD4rXUNozNyc9bZLY6eCmPxdTiSkZalaAsIwU51QGcjJ98/AkDveVI6JR8q0PIrnprr6Z6t34+SHPsbzczZJBj1ImfN6Kl37zHyc+cdPZfuyNSS1FWSjzG0GsJlzPsv5+yXYyt0Ox3USzr87yfnUtNELwFbneC/NcR84549yzsdzzsd37pw5hXF7wNtvv42xY8cq/3vdMQ0OTXDOG8VENAVpzaLX3iEErVUewfanL3+F65/9sjWa1OpoYwZ6BUGxahR7HaG6IB68iabSlq9ekxCoc8IhGefw4XLXCLitog73vb0C331ybmC2N+lmmXSvvcYjlL22YAvW7qpCpSMkcO4KBCmL48T7Z+Cb/5il/EbEbXiLkLvCCsfCTeX4aGV2Rstrn5mPqQ9+lNW5TUEmpVuH5x1Ff+6Ght22pJsZEVpF3zGPrVcoTI11X6VjIRuc+cdPcf5fZyrHBBNGFbTqendcVFE3S02ac4WZcxR/r/fA3f9bir/MWIP3lu3Asm378MRn63wK2JOfr1fi4KjQTlkhqoDXJdMYd/e7+MXrSzI9dpOwfPs+LNvWcBmoxrp7J4lr4JpdVViwqbxRv09zjuPv+xDTHvoYvTrkAgC27K2Vio1lcVz2z9m44bngfUG4AEfDIeypTuDG575EeU0CT36+3heXJuA1xPx7ziYAwUYgsW6FQkyOl2Say770slAnPfARjrn3A087/QaRtMVx13+X4Ion5ijGEdHmXBLbSRHkFZC2OB58d6Ucu82FfMdl2utOunmvP46P9l0QxDl02mxwjEpz1+9FlTNncwNctesC6v7JeN2DTZnjnG8HsIkxNtQ5NAXAUgCvA7jMOXYZgNecz68DuIgxFmOM9Yed6GS245JZyRg7itk89KXkNwc1TjnlFCxYsED5/9VXX23tZhm0ATzx+XqMu/vdA2otE5truJ3XnqEQgk9uI4W9gxnNHTMnhIzmIHSDGCi6WQtlrjDDJnr5E3Mw9I63lGNCwImEmWR0inLdawhjxs7KejluvM8k3h0VjMuJMFOXTOOm5xfgkr/PktdLcy6FJK+V/rtPzsWvpy+Tzx0JYAdSFsdZf/5MuqO2NpJpjsc+XYffvLksMGawJpGSAqtrHQ+eh1Mf/AhPzVzvc2uy76fvD3G8sWuWEJhjWbC74vm8wrdgyKjATNkEoczHc9yYOcr4UuFS51oK2GPRvkcYp/3hE9z536XK2EulLfzi9SU458+fy6LXaYtjydYKrNpRqcz1aiIci/GfKS6pqTj195/gtD980uB52XgIfLW5XDLoUijnHFMe+Ahn/1kfMxt03bTFsXlvLVbvrJLveW9NUo63lMXx0cpd0kVRB+FGGw0z/Gb6Mry+cCveXrIdv3nTZuq8LM6AW9/wGQ33OOsXrV9JQROgCKQsSz5XECu+fPs+/PjFhUilLal0xiIk7jRt4fHP1uOD5TsVZk7MqUTKkkYqaqsJ2i/eXrIdD7+/Cr+enj1LmQ3yHJa9uj6Fdbur8a8vghMDukaS4LEkDIR0XIg5W5NIEWZOv4bUkbp/1JAiDEmZ9qG2iGxXyhsAPMMY+wrAWAC/BnAvgGmMsVUApjl/g3O+BMALsBW+twBcxzkXM+Fa2CUOVgNYA0DlVhuB/axo0K5wKD3roYYPV9gW+fVlB1CZayQzd/uri3Dbq4uyOndDWbUUplsSScu15gbh/176CsN//lbg9wcbGsuqZAsGBs45fj19GZZubdgyr0OQ2xdNxy7crDKlo/9k1W7fMWpV3+dsxEXxKPneHp/V9SlFqayqT+HSf87G4i0VUqmkFngqwImMacm0pY1387rIvbdsBx79eK28XlDcTluLmUulLdz9v6X420drUR2QMOlHLyzE1Ac/Ql0yLYUtrwv3W4u3463F2wDYytLPX1siYypoH0hmLkCZ8+rAOqZEcVVsBDOnYyvoNSiowiQE41g4JM+lgrilYc1CjKEumcZl/5yNpVv3ScaWstA0Jk54a3ASiZKyOM54+FNMe+hjrSun3TZX2N9bnWjQ/XVnZV3GxBvbK+rw4Yqd2FlZl/E6FNkkQHnmC5vRnbN+r3yWhtavREByIjpPqbFGKNLZKJci/i4aDkmvj86FMbm2eNtmcXuOU+wVfcY5KuuSWLVDretWTxKgiAijlMXd5w9YI3/84kK8NG8zlm+vlMYKqqDojCOcu8cTKcutraYYHfTvRbzPbMq0NAXV9Sl8+7FZ+Nl/FiuxqBTZFPYWz0LHm6vMpaVSFuS2X0vkFrrWVR+szBwAcM4XOG6PoznnZ3PO93LOyzjnUzjng51/95Dz7+GcD+ScD+Wcv0mOz+Wcj3S+u76pNebi8TjKysoOCSWHc46ysjLE4/HWborBAYDw5DmQYzmdhfWc4plZG/HsrIbjpCyL44T7ZuB7/1KzFdYl0412lWks0gEWfYp/z92UdarnumT6gMYitQQOpJvl9n11ePTjtfje03Mb9TvRP0HMnJf9AoBII9kYsSlHwyEpJFNWRQhk9SlLacfL8zbj45W78OTn66WVmrpwUjZm7S7b2NK7Y55UwKgwVBcwzuo1MVUULZXGff3u6qyy2dL3EyRcfrXZFna3lNe68bgereuap+fhmqfnK9cQa1za4qhLpvHZ6t0klbr9+0TKgmXxQCXv/rftWDj6LFSRdksFhLBpT43PVZaCxsTVJFL44b8XYFtFrcLoCCjKXMrNRJrWjIW0xTFzTZljPHCV0jnr9+Cjlbtw9/+WolJTU46OPcHcdSAsT1p5l+7v6BwSYzYWDeGkB2Zg0u8+DHx+AJh4z/v4eobi3mc8/Akuf3yOTEijw9byWsUokdT0uRfCE6VHcVy+Z+9cqEumAw0m9NQtJK6M9plYT7xrz8w1ZbI0gIC7hjDZv9Q1nF4jyAAjFPC0xfGtf8zCtIc+Vr6XY524WabSXK49QW60hTHbMHXmHz8NYPf87yhlWbIfbGbOr/h43/dbi7dhQ1m1HLPhEMPGshrc+spXzRKDKa5bS0rKlFXpQ0wkM+dpYypt4b63l6O8JiENJfQ5xHupTaalokhZTPpe6ZqtxMS2U2WufbXWQa9evbB582YcKslR4vE4evXq1fCJBu0OIvNVUwTxqvoU8qLhBgO8pTLXSH+5DWXV+N3bK/DghWOUBVFAbBzeeJ9X5m/Bz15bjAU/n4ZCwpDMWb8Hz83aiPsvGNOorGWLt1Tgi7VluPK4/nhm1kacfXhPuYF5Y22aih/+ewHeXLwdS395inQHaW9wXQWtjBncZq/bg/6d8tG5MJbVdRlzBZW8aHbvprIuqYyZIGVOJ4iHQwyb9tRgfVk1Jg3ubBu0qhPoVOC2N60R2qJhJuOdqNBCLbDScg+GlY7lfGi3Qny+psxuD7H+15A4KcEgFsYjUsijz0SNBorAIBXUYDdLin11SYVVpGiq4se5Hc93/JDOeOqKiRnPpYJ4kNtXzw652FJei417alxmLuD5aP9KZi7Nccd/FuOleZtx77mjALjZ0Ybc8SaO7N8Rh/exCxt7ZUiRoIYyVkqfSQEuhF/+byn2VCfw8rXH+Nq1dOs+XEBi5Z6dtRGvfrkFpfk5rkBMnp/GzEkXUMZkO2g/7qqqx+WPz8HUw7rgzNE97OdjTNaD7FYcx2pHyaR9SsepYMI65rvKXMrSC+IVta5ALNoZj4SxVxPzlEhZOPX3H+P/ThsmMwquzeDiLzK6BrE0L83bjB+/uBCPXz5BHqNzoT5laRNQ7K62lVWq6yk1wuqSGH3nO7hqUn/cfsZw2XYByjDR+6XlvuAq/NQFlnMuU9HTbI6UmRP9QMd/Mm1hd1U9OuTlBDKZ4hpJi2OhY/Cg2S2FQmVnsHTZONfNkrj6kXuU5Pm9DIKUMup6KJW5tEXcgd32UjfLRMrCNU/PR4/iOK6dPMh+F5EQbvr3l/hyYzkuGN8b4/rsX7FxOn5L8qLYWVmvZAzm3D+nvSzvG4u24c8frsG+2pTinuv9XW0irY2P1u0bgOtaCbhzKD/LsihtBe1SaolGo+jfv39rNwOAbZXqUZLb2s0waKcQMpDFOZZtswPMzx3XsOJeWZfEqDvfwU1TBuOH04ZkPLepCVDu+M9ifLJqNy44ohfG9+uIG56dj7vPHoleHfIA+F3LbnzuS/QtzUNuThhpi6MmkVaUOSE83XXWCDwzayO27K3F3WePbLAdZzqW43F9O+CO/yzGrHV7MLx7kf1lgC7nTZLRED5cYedvamx2wbYEy+J4feFW3Pjcl5jx4xPRr1O+75zVO6tw4d9m4szR3fGnS8ZlvB7dR4UFtUO+XtHwYtSd72Bi/47y71Tawp7qBB5+fxVuO/0wWZdLKXhLsr099uk6/GfBFiz4+cn40wer8cC7K/HFrVPkuVTwrSPMnNiUdRZ6AJ64JC6fUwgSdEzXJDUCfIgRFyCuPXdfnZ/FiYZDqKhN4t43l+PW04fJ7+k1Zq/bgwv/NhP//M54nDSsK7xorNvTpj01ePTjtbj9jMMAAB+v3IWyqnp88x+z8LdvH4G+pf7xobIR+vt1K7K9RLZX1ClrS9riYFCzB9L+FV2SJsWDhXtTiDHJfs1atwcjexbb53raoHNrVGvAuSnY95UnZabKPdUJrNtdhSP62mPSmyVQKPa9O+ZpWQzK0srkDJzLOaJz9Zy9bo9UmBgDdlSIQtFx+ayKMpdwr1FOEqe4mQ+JAE/aVknGWw1h5gTqU2lpWCmvTWDt7mp8/5n5WPPr0+U5lsXxt4/X4txxPdG1yO8FFOTh8OqXdrWpvUQop6xjkDIndPEgBXWeU+T6pXmbcfsZw/Hu0h3oV5qnPZeu9ToDi6qU6df3mnoRMxeSv6Pjv6wqgbP+/BmumtQflx7dT3uNFFHQ6LGow8qLtYCDy2unnEyc9u/0rrOqMudXylQDjHtd8ayJlEVYceJmSe63cY+t0Nck07L90RCTCnG2CYUygfZZSa5tpCirqpfHqNszVdQWba7Adc/Ox39vOA67HMY6HGLyfelY4ZpESpbsoKEYyr5Bxk1Vvfu+E+k0wiGGSDvLGNe+WtvG8Pma3Tjm3g8OaLFSg4MbkpnjtkvLzS8szCqOZtk2W/iYkUUWPLGINtaTU7SNw46B+XDFLjz4jlsKwBtb8vrCrfjjB6ulMFSf1AuDaYvj3jeXZwyA1kEwiyu3VxKGRQ8q4GQDGRvRzgqFUqQtjn98shaA7Rapw0LH/bUxxYwZgN3OpkuZgiCI8Tt73R7ZPymL41dvLMUTn6/HWyQ5Q0oRylzXuur6lBSqXv3SzlC5m2z8VGCkLlJiAw+ywIrjFufy3JTlujrRMVtD3pEY66IYr30t95mpy44ioBBF8943l+O52Rvx1mLy/GS8bauwFYy/fLgGOgQZGjjn2F1V73Npu/65L/GvLzbIPgeA6Yu2Yfn2Sjz68Vr5W/UeNBZNfz/BMqZI/GAqzTHqzrdx/XPzlXOpgJaS7IAl+5Ym2aFuzq4wp22CR5inypzdZzmREBJpSwqjZ//5M5z3iMvEeZ0UhFtjLklqknKyBI7/1bsKMycTuXCujQMU421fnRujGWJqch6deyYVNBtyp0trlBb6/HHCiu+tdueK6N40cWUFbK+J3761HL/871LoEBTbJK5HBWb6rmh22ETKLtPxx/dXyfemsEqaWMqO+TlYvbMKVz01Fz9+caH2XJrIQjfvdTFlALCrsh4n3vch/jJjtXyHkbDLtlLFr8xhEqcv2q7E+eqgMxgBrtKZSnNZUzBlueUU6NyjrrO0PEeSzCEBqvjRLJBiHCdSlmtICWDmhBt5n455ss2RcEheo1mSYJF3UewoqNTNUuc6zTnwh/dXYeOeGsxaWyaftSQvKtdvnXdHXdKS96Ntp2OTGk+qiBEomXYV8PYEo8ztB5Y7AvV8x4pkYNBYiL2acy4XXOGCkgmrdtpjb3CXggbP1fnkZwO5nHF9gU5dogDAXVCD2LFMtaxW76wMZCDEdcuq6103y4BdJpMv/oBb38DL8zZrvz9QSURaAimLY40jEOdE9Eu7eL5sLK3UlU0IF0EugBS6YtupNJebNfXIo30tBD/GgLqUJeOnyp0NnI4nIXzYv3PHJnUzsiyOmkRKEZKlApfmrrskcXWiggFlY8Q1QsydTwozR86lzy+sv5Ewk2xUZ+IuSu8n+qQ2mcbc9Xtwy8tfKe/HG3+2ZlcVOOf4eNVujP/Ve3j4fbX8QaXz3qiFWczfZNp+v/1vna7UavS6lmnB3HPd5BU2Ez99kZpFUbqWhZhSF0sYE+SYIIwnQAv66ttA5yn9nfI5aUnGVCSwCcrQSpUr+vnxz9Zjd1VCKkkh5r4jUduM/h5QjQfCtTLESDkKi8uxE/Q7ajzQKT46YwZA3CwJM0dL39A+pWNWxLAFrRtBzJzOzTQR0B+izf/8bJ18b0EJOcTcDDEmBfg1ZM5TVqlO40bN4b4XXR02wE46tr6sBg++s1KOk2g4JBVUeq5QGDnnGeMHvc+kUzSSaUuuQ8m0q2gl0rR/U75rFMYictykrIBziZKYFPtw2iK/I0y54tbqJo4SbYuEmexL714/+f4ZPsV/xfZKfLIq2LhM702zTgpQ7wbKjgvFKpnmciwU50alcVpZNwhrTpPBCFAjJmXmknK+2c+aTaH5tob21+I2BGE1a6kgdoODDyHCzHUqsFmPLZq6K16IeJ5CT02u3VX1+HD5TuUYZSMaAyHwcLgLY45S8DdI6Uo7/9rfe12aghSmdburMfXBj32FwAWEK0RZdcLNZGVxrN1VhX63vIHPScHmrRXqPSvrkqhNpJ04H+CPH6zS3qM9M3MW53JDDHqOhMZaGQQxXBjTMwVBoJnvhLKdTFtag0BSI/il0lwKaIm0JTdwaq2m9dykwhRiSjHu37y5DMN//rZiuXbj3Sw5hpJEgFfjr6gV13UH1LEqVBCh9ZmooqnLrrePto0c//sna/H8nE1KinmqaK0vq8GUBz7CfW+vkMkcvtykGhWF4EKVYOreKhiGpwlDHpT0gULEqaYVVsE9lwqJ4t5h0jfpNJfKkXgnDGoGS13cGgU9TvtMXCOZ5qhPpX1JX9IWx6erduPz1WXKcemeRtY02k/iXVqcMCyWPhMhveeizeXOMzFFENeNIaqUiPcSDjGtSyKdC3Sc0qQPYqrSouhJxVjh/k4w+d2K9YnWgpLnUAVVQFWuqVubJdumU1BVls5lhHT7F30XSkwsea/ufAtQrpLuWpEgwry8liZdPYeepaQMt5cJnLFiJz5YvkPeL0HWwjRR7FOK8uhX7JOWJZlqldF125Mingk0AYponvcdPjd7I16cu0kpESLmVjQUkn1J59iaXVVYt7sa//xsnfIOTvn9x/j2Y8ElVmifiX2EjhUdM2crc64BSqzlVA7xsr/idzJBSoDRTXnHJJY6mbaaxa20pdH+WtyGQOOdDAyaAqHMpSxLJnjYsS+YmVu9sxJby2sDE4CM/9V7uPyJOahLpjFvwx68v2wHYSDUcVpdn8Jjn64LdOsUV+bcXSSDmDmdFbM+ZeHdpTtwzL0fyJg0XTsE1jpJAZYGFKYVFkjO1UDvd5baKaLfJ0rstnLVzXDUne/g9Ic/wXYSt6JDe1bmVMt2AKNBNq3GINEIZU7ENRTnuixemsRwUBeWpEYITFquMlefdFkzqpRRCOUpLxaR17MsjmecjKxUuUoRIcp1rXXvUd+AMid+S//1fq+z/tJnDkreQOeTiDWlrIpOCXz6iw1yLfC6NYtr00QuQghKEoWZZv5MWvo5TUEzlLrxPkQo07gLRj3MnHiUGqIkuwIlc9mvgL1Vl8GPfk6mLdSn7P9V4ZrjW4/Nwj8+VQVRXa0v1ZXRnyDB4nplto70ozhKlZJU2n3+VMAYEi6+jFEB3b/G2r/zx2iGw0yu1Tplh97Dfm6/Mmspz6/OhZv/vQAzVuyUD0gFZkWBS/qF9ZxIyI01DFDmZPIKMG0K+iA3Wzo3hRsdXdPrEvQdahg97t6HjgVh+LBIbUkKNd5LZRi/8/gcXPHEXPleEo7XgTg3pTFc6JS5NJlvylghn4Ni5lwm2G3zrsp63PrKIvzkpa+U9V20R2HmyA/3ajwvKII8diibKvYRem6dZt2wLFfmSKTdrJxB/S+uZ8sIrsFXoEopMaJXJBtKINZW0f5a3IYgAr2NMmeQDd5dusNXHJwW9hTpy72JRQT2VCcw9cGP8b1/zQssfiyQTFs475GZuPLJuXKjTXOO1Tsr8ZgjyNzxn8W4+39L8cW6Mu01ZMwcdzeoaMS9oS5WxT6elv9+vsZmy9aQeJig5xPuaUFxWUKICjEoQtTmvbYLVa8OuVIw3UFixsRivm53tWTsujsW6MVbKhSrajILN8u0xRUWMFNZibpkWhHIDyQUYShAQdfFETQExpjs02zWOrExRsMhEjPnMmG0RIaemXM3beoKsy9AmRPFesNMZebE9ao0aeVTluv2SZULOjbpBk9ZNWpVF6ACVaVGYKDlFqiwRwVfyVIx15AS5PaoxGWlhfFEZU+EmyhlDUW8G40nowW2qYATZNiQfZq2lAyqArr3HQ4x7XsTbWCMCvDuuEhZHJv21OArh+GSbbP8AhxtR8pR5gBVmdEZBFQXUPL8pJ001kYodqk0VwRtAYVhU5RVDYsZkHW1Wr4XkvmwARYPIOnvmavMUYVKdbOkygz3XUs1bLh9+v7yHXjlyy14auYGrbtoEDOnKHPw/y7IpdhV7KE9t16jrNrz224zXUMqSaIL6kYtfsfheiTQd0GZWZ2y8sTn6wPa7l/fLE5cQImbJW2n8g4J2yzeV7Wi+FPFz32vioukZPTc69K4alpsPCGNbiGtmyVdI+dt2ItL/v6FYjDb4YnX3lZhl66Q75hDtkfnIknvZ3GOnIjr3SGuoayhSf3vdIYWJWYuYA4l01yRc9oLjDK3HxAJGYybZctjS3kt/tvOEs9c9dRcTL5/hnIsJN3QOHFf0isUgrlatKVCXRg1oJeQbioWx9VPzcPdTsru2ev2ALAzpukglrM0dzcG6n5AF99KTQa/+pSl+LgLBAmJQukpDVDmhJtliAjtFueSbaPxXHST2EUSUuwj7Xl94Vac+cdP8SZJSJHNXP7D+6twyT9mYfa6Peh3yxv4EQnM9+LSx2Zj3N3vNnjN5kA2zFySuC81BPomqND61eZy9LvlDSzeUoGKmiQ+WK4Wz62TrnWExUkTt5cA9qeWCMniGnSjrgiIVREuZ2nLjYOjsU80u2QVySLopiAnMXMBdeZo/I3OfUeNW/K78kTDTJuVkCqMVEAX700RcAPcOkV7vIyBFErJc4jLJVJuEhLKzOlctgR++9ZyvLV4u8LMiWehz0GV7nrJTIa0SklN0lVaVIHSHW+Tfvchvv6nz5S2BLpZOsJskgiztD827fUX0Q4R1zKl+DdlQkmMGmXmqFungE5ItJVVP/ul82gAXOUpbbkCrBInRsapwsw4zx9mLvsRlM1VjO9o2FU0dS6bvuP17rwRV6NKKVWu6jXPRPeQIGZSGKMYc9tPjWbVAe5ylJkTY4het1KzFgBkPHE3DpB+73qFcK0yd++by31tB/Qxc4A7hugcUhLHkP7VGStqA/rGZebccgSJtJ6Zq9LE5dlu5PSzf22hKf/fXLQNn68pwxOfr5eGIqok1iRSOPo3H+CWV75S5r/o94Qy/vVspHSzTFmybQpLnfI/v8VpshiqzOnHTR2ZpwnDzB16cJm5Vm7IIYhv/v0L3PDcl41OQd/WILzWEqk0EeD0A0oqVJGQ4nqSTFv418z1HsHP73qSIgvjyh2VsthqQ+M3mbaQSDtW1QA3S537Qn3SkoIdje3zum8t27YPuyrrsddhWEpooVzFRcKxcoeY3DBTFpeWxDTXx7CI5AeAWrhVZPnbTAS8bNK/z3GUYDH2Xpm/JfDc2ev3NHi95gJVLpJprmUMXWaO4Z+frsPEe94D5xzTF23De0tVpYzWbKIxTK8vsI0on63ejXMf+QxXPDHXszH62aiUpRd8k5r+TVouM0eFtvJaPcMpjAApy9Jms6TJIsQ4pW6GtHCvwkbU+zf7lOW6SFkBgqgiMBD3ZCEkBrkWSZbK+Q9QmUslpoayKpZrPNGhRnNuImW5BaaJMldV7xf8ObfH0iMz1uCap+dJgZAqzLWK0O5nGGxmzq/Mu89M5h7TC2IUaUVg9gtzyZQl5yeN2dVlcVWYuYCYQfq76oRrEHBjtPR9I56PcypoBzFsfldOb5IZ93d6Bln0L4fLwlJhVxeXFQ27+4mOjQY87sDEkKZzSQxSYITiHosSN8sARpfOEdEmOhRUoVzDzJK+qQkwNNBruKUCLDm+qbJTKd0sGy57ozCFASy8eFaaSVeN59Izz+J9BindNIMnjZkT746OU937pgw5VdBVg4n7uZNTq7Q6kZJFtul6K9r5wtzNytoslUSNQgW4c9ri7j6STHMZM6hkQabvSrrLcu18qwpQ5hRDQqp9xsy1yzpzbQUyeYXR5locwiWvvCaJrkXtq7gjhRhDibTlMmEB48kN0qXuJBb+8ck6/Pat5Yr7Go3bEIuyxTl6dcjFih2V2FBGMoMFMIHCzTKRsoibpT4BSoXGGk+TV9AFlX7etKcGp/3hE0wZ1gU9O/jrNSquLnVuRjlhpbYsrrA/rhuG2zaxgdPg7jBjcmHPJ8xkNjFzgunLa2NFRS3lHVs4/eFPcVj3Qjx44Vh5nL6XX09fhpTFsXx7Jb7/zHwAwLrfnC77Xcd+pC01o5jIMEfrSYkNOhQSsXlcSYBCr5tUrNUuM5e27GtsI4lsgrLIiQQPXmZO/o5a4+tcxoMqaOLdBbkTydpTaa6wRu73eos/zeYon1Nh/IjQSsa6mx7dQiptYebaMpTmu1kwVWu8UET1QqYuLi+ZtqSySpMJVHvYigv/OhMleVHcf+EYeTxtuUKSq8zpBX/XzZQRgZmyWGJOu8oeI+0MSsIS5GZJywoIwZcac6iCLpATDklGls4Pui5WKoK9K4iL8au452qYuTTXu+cGKWWuK6c7b6hwXdeAopWyuHTbV5Ud7vtM331QnChlguhziCapbo+ZjRU54ZCWpdaxbYwx+Q7p81cFsFiUYde5S9JMs1X1/rbZSqDlfO+f00ExcxQ0OY3qeeCfhzRet0oTqkDPpZ9VZU5ndPIkQNG4tVZpYiY5V5OoQBqb/YZiRq5nEUMxZRiVBDcke7DOAKVzl+TcdXmsT6VdZi5ASaaurGIvoGOQrm907RUGD2FUMszcIQbR32mNBVyHL9aW4a3F2w5giw4dFGkSBGSDXZX1GP+rd7F0qz7JBsWW8lr89aM1GWOi9heMuFlCCtHqZrG1vBb1qbS6oBKhdY3jfklzU+yp8idOSKW5q6Apgf7AIzPW4NTff6wsvjSeT5fti7aHZkxzmbm0TM1do4k5AYAFDju2rqza3VBJ21Qh2XWzTBJLqkCQy5KIL4iGQtrYHlrHJ5vSBKLemZdB/XjlruDgb4vjwXdW4MGATJ1erNxRicG3T8d6T4xlRU0y0HjkTe29bNs+vDJ/C9IWx2+mL8OOfXUuO5LmOMwpvE7re23fVyeZGLFxWsS1KEWUuSLFdZZujI4CQ3w5qaIV1GdUgBUb8FaSyKYyoL5TJXGd1MVJ6Ji5lEUToLjW8aD+E2NTiZlT3Cz9SingCgkcrtujKlDomRDp9mdxPDVzA7792GxMX+TuHTWac9X1IYi5cZVEl5lzjRKUjdhVVYfZ6/fgnaU7ZMFr+7ndezRkYReCVsRTNkI+hxIzJ9YYfXwdXYdVxsM/nmoSKfm+NxFlrlrDzOVEQnIsUAE3yCVNGIcs7noF1CX1a49klSxO0sbrlR167xoy3nTJWeoDBFRpdElzyWjUJe2snku2VmjjLm0jV2ZmrlqjiNjKXGYjSH3Kzub41eZy162XxGjSZ6LvWJYpgcpu6s6l71smAwrIkri70nW5p+9NlD+he51Ogaf124Kwl+yF9Fyq5Akk0y67WaPU59O/T7GeBLnAij7j3H0viTQtf6A3UFDWnDLvYgWvT9P2uN4dUumCy/B7k4kI0LVZlz24TqPAprkbflKTSMt2Uo8OHYtp1xHlvvYEM3OqwcPUmTvEQNPKZ4OLHv0C1zw9/wC26NCBiPNqrDL3ztLt2F2VwL++WN/guf/30le4983lskD3gUR9ytImPbAsjmPu/QDXP/ul4qtOs/KJ7IEdSKwZFWBpamdpVVcs0By/fWs5lm9Xa7xZRPBzhSu3zXQh3lvjZ+bqUhY2O2UW6OZDN5Fy6YYZlQKq6rJEhWT7ezvRhbAIupu8zo0FcLO2RcJMsVyLzZzGj6XSHK/M34y/frQGQfCmVQfsRCqX/nM27nlDX3Q3kbLw8Aer8fD7+pIIXjz+2Xok0xwzVuzEdc/Oxx/fX4WKmiTG/PIdPPDuCnDOMc9T31J1PXPf29Kt+/C3j9fiumfmKwlC5DN7CkVf/a95OO63H8rNMG25mzll5mihYJHZkHPXfZF+nySMVjJtFzeft2GPx83ScYEkihZlfOn7ptCxONSKr4uToTFzKcIwCCGQ1ukCVIu3a1Unypwm22E4xNx6SRp3UkAVypVkIGLupSw53maRREW1SvIGv7Wevjcl0QNRRHUxczR5C7Wwi6LaHfKibgbLLJg58a4iYdeVURczSJkEEbcijgvoshbSewDu2knbvpUoojo3S4CRhDK0VAQVfN3j4pw0YXGClCAdMxekiFLmWShPSeJtoAq+fqMU4Aq2ac4hHDXqk2n88N8LcMbDn8r1FiCKNNz3qVMovc+nMHPOsaDacmt2VeE7j8/B95+ZL8csdWFTlVn/e2NMP+/p+NZlpawPcPvdXaVX5sT+JOov2u2hfe5mUvZmjfWCKm21AfcWSKbdsgF0nuoyNNJnCXaz9BuVaAKU2oT/e3oPe067ChHTMHOK6zeRJwTDT59DV3qCGt1UpduvwFqWm+1zb01Cnk9lBB2LSbNZBnlNKPHKgplz4nUNM3eIgVLMBi2LgnjTlDnJKniKH3+wfIdUigSEm8pmTdB8JlTXp7Bqh6oABrMpjvUsQFARDNS7S3dIP3I7XbMrUJU5Rcap5bqy3r+g0jgCeg8leF1ZqN0FlxbxfWbWBrw8b7Oarpgyc865NIUxZRLoplbunBMLh6S1VU2QQJRAony5z+S6kNBNlj6/WMDDISYTBFicS4HP+8w3v7BQCWj3Qpf0QQgci7ZUaH+jbsh6d0EKMea6Fefija+24YF3V8qx+/rCrXhh7iac98jneIsmb+F+IRlw4w/mbdyrxPjo4l2SabucxJbyWmIwcGPYUpZF2C2VETnnL5/h/L/OVARKYaFIWdTN0sKv3liG8x6ZqQgGtFSAENCoIhZU60qcq8vOB6hWfDe+Tk2AIt+VVOZUF1pX8XOfgwoRVHkQYy/MmBQSsgnCr9UIpcm0JWt/UQbVa0n2PsfeAIEyQYwgNOuorm26OMBYJKwVyoKUGTG3lBqAmmQh1JXbzmbp31upopW07MLjnKtMiXgH9DkqFAXGP/eSZLxRhUp1AUxLr4QkYRjF+KXrm65PLUsfB0jPpc9XVSfc0132kzIXDbENaYtLV7S6lIWPnWLOdE2WhdBJDDJNFqUq6H5Fw84CK/YIvVugGLOb99ZqjQfVivHAr5Rwrp/3dL+him1CMzfpe91dRd0s/WM9kXYTzqgJUCgb24AyR2J76djbV5dCoSfZWLVmn/K2vzFulrrMrfXEzZLup0rMHBmbuqyruiQsDMQrIO3Gmakxun6joe067h83ugQottunfe7W8jpp/AqKH6UuyW6yGDJXAhLg1HmMFdT1vL2g/bW4DUFXb8igZSDilfbVJbFpT40v5X8QdC5iaYvjiifm4vy/fq6c27PEjuHaUq4v4v2nD1ah3y1vIJm28MiMNbj91UUAgJ+/tgTTHvoYZWRjDI79cAUxKSxokpcAroBDY7+UFMRESKJCMB2numD6IOFCukJ4mLnbX12MH724UFGCyhVmTlg2KTvmXvf9ZW49OCF05kRCCmsioBMoaea7NHczd9L2VGmCsKPhkCJQ6dKqByVASVscd/9vKTY5RcfpdQHX2lytickBgHqSpKGsqmEDxE5Za9B9FzQ2ULivLtnqKo9B8RBizHuTMIjTg9KVU5cWutnr3OX2ViexcHMF5m3YqyQWoW0Tf6vuPcQySwR70ZeUERHfz7tjKijEO69WDBh6VqVGMh6ugULnIhaPqMqczD6XVus3CVRphNJQyDUwBClzCoujJMtw373Q0amCRoUynZJEjVxqQhJHuSCxPxHiUqSyFX6lLBxict6kLMt1z1Oewy/4R0IhNy5Lw+LZypx9bogx+XwpzxgT2FebxMhfvI373l6hFXapMYemTa/WKAb76pLy+D6NR4MA3TPE9/KZAupX0dgwaQQIiK+jyTlkrDFh5oJi0XQKeMpS3cxEP9A9iZZNEP24u6pefq4LUhicz3XJtFx7g8pt6MZhNOxmSawOYk1InFyNps+UGG1N8iW6F9D1hhpsdfcrr6YKtd+bJJnWZ7Ok8I5TCu8YokppUFIXHZusYxUBb2IksU6l5VoflNmTlgKhrJhAImXHFdNxDICshS6LVxPAzNGyCbqYOV1pBqqUbauo1XpFKIqvosz51xtdHCTgLU3QPhOgtL8WtyFQ9zWKL9aW4ZX5m1ujSYccUmk7dbU35X8Q9klmzh8ntaFMZeDEwluTSOOeN5bizD9+onz/5w/XALAXnt++tVwWKRbZ0z4ltcgCi98SwZAmnlixvRLvLt2hbpLUIkaUMrFeKpnBFHchvzIXVN9H506TTHGtewNVSoTFN8TczZVuFnRD/oAU9xZWzHCIuQkwApQ5N3mFmkVOZgkMiAcQAkOE1LqyuBvvoWYMVPvp2VkbMWf9HszbsBePfboOt76yiLTNvxno3bhUQaw+ZWHNrip8tNK2li/dus8XlylT82ssoimLo4OT8ZMKAxZ3Yxzo81PBR01ewH3PrMYMOe84zWWCCJoggI5NHTNLk/ok0+6mvCvAyCGEgOoAgUOMBZHtVMZoOO+eCobUfbM6kVayqQJq/E2txiKc60luI2JCg+pwKXF5ZJxKZo67SpkqRPgFeyrsJFOWtvahTmhLWRx/+mAVJv3uA+ysVNODy3uQWCwhBNHkLFQJogqjeNZQSI3BFXMuiGEUx203Sz9rJtpTn0q785C5xh+63tAxJj7/ZcYaLWtA+6MiIIOhQGAslkdo946htMVl3wQJhvJcEl9Xq1GSAZX9E8axFHEzU1iMAEOCywS6v6tLpmWf7SHv8AEnftdO+mB/z7nLXukSANF71CbThJkj6xsZ04rLoVTQQMZCZoaRMugU5QHMXL1m3aTYXa13sxR9ovPoANxxkUhb2jFEQceb19vHO4aogUYt76Myi8UeJTDIrbk2mfYpIom0Jdd6eq5aG5Ya64jBk7DCV/9rHgbeNp3EzLn9SBnNaiUjLh1D7v6uK3lQ59kjAdU9eXtFnRwXQW69KqPnZzF1dSYB1XiQTHHjZnmoQQxer6B+0aNf4OYXgmtPGQDrd1f7iks2BXSxyCZRifB9Z57kDDrQTF1//2QdFm+xk6as2lGJnaTtaY8C0LHAFjbpwtFQVrZEyl1wUxbH+Y98jquemqtk83PTB7uCUZoEUNPFkG4MNGBdl+0xKAmDK5SnlfgiAdo2IVxZXK/Y0LTbFK7QYsk2K8wcaY8Q0Gjx0LRFYuaUc/2sYCREYuaUmk1EmfP0022vLsIFf50phQfqIqSzVgcpc96CqFMe+AiX/XM2Plm1C6c//An+PWeTen7KrzBRdqwo1xYKqDCgKmVEmK3xZ/OkLlJ0LOjTdavFkV03U7/lGnD7IZm2pLU2bbludFTASQRs5u51VWEwHGIIhxjW33sGfnLKUOVcKkR4LeKdCmIIgs69J+ZxsxEKpo6tAtR+KCOunPVEQRPzu1qjXNF2UBbzxXmb8ekq1ygkoKstBQD3v7MSm/bUytqL3nNlYg1PUhsBRZnRtC1Mak+lLS4F9yDhUrKU5Hc6VsHi+tppKvvrCvC69c1+F/61kK7DQfNT9/1uryAeUwXq+pQVoKD7lQ+qXOlSyQuUOuPULZXgrnWKQUhhEvwGkRSpT0eZCV1YAt1PANcNPihbq8vMuWxqkHBdpjBz7vruxjZmdrOkLtcUdL4pCXeSqnHBW09TjZ/V73u6c+n3ukQmatvcZ/Z6DNHwjoJYROkPXa1Wu50pdPTUXg1ys0xZ3Kcw0tIEQe651JBK3SyTxADx3jK7dI3rZulmQU2mCEtP7qHzFqFsszJuNOuwZbl7Vl3S9djQZfCkv6NjTBfb71WOvVlAo8bN8tCCm/K9+a+9u6oeX6wta/4LtxGceP8MHPnr9/f7OlQQ2Z6FckhTAgsE1XVLEx9vgZpECtMe+hgTf/2+lhGyLC494+jm61X4vPdOpC0lS5ywEOrSHHuZOV0KZiWRgbKJ+pWZmoAFXsYRpCzFoi9AN2raTnGNIJctCrHxJdM0IYWe/aMpwWk8lzd5hfc5JDMXdl290twN3tfV4RLPLaArfq7bUIOstkFZu0SCmPkb92rPp78T8TyptCXdm6gLGTUqUcVGJD2IhkIkqYnL6NLxq9YectlPqgSnpVLiV7Tp8yVTlsxoWU/c6Chr1JBw7WV3aZaxSEiV1HTZ6QSCCtGL6wpIN8uovuxEnaLM6ce0G8PqXptmVwsqDixj+EhcHgClqL1scwBDKLB8uxuzqxun1JWVjrGgOSuOh0NMjjOa/r+h+mQc7lqnsslum8V7SaQsEs/onlAeoJRRN3idCxxlcXSlCSjo83sTVggDikDQeqOL8aIJXmoVpUxtr9fokPSwIwJe1lBArFPUIPDGV24WVJ2LNy2aDtgK398+UhlPXf/WJdIkrlo/pmlfUwVdrN9Bbm/1xBNAF+dYoXHrB/weDd7Y+Mo6PUur25+C2D36TDrQa631KnNkDIlYWAHq4ut11e2Qpz5HjcYg4t7DPbcwFlHnmMabhB6npTBoPz7x+Xr5WVf70g7FsG9UWa83Yiu19TTKnM5DImlZct1MpN11oS5g/Usoiqi//ypqEmDMz5C6pWcsJwGKyWZ50KM2kcZd/12CD1fsVGJHKuuS+O6TczHbKSi8vzjq1+/joke/aJZrHYzQFR31blTbKmoV9oieHxQzRuEmFiAKI7F462rsVNaltEHhQeUraFyaRQRtAV3GKZBslrRwa10QM0Ws8bJsALWCk3tsoxb9pBsnIN0byLPS8gdKcgLnfVErf1AsmdiUaQwTff6VJJEMTUFP3QWTGv97XbweY+5GZBFlhj4/FWropq2LtdRthkH9rMbzufcTsZ922mULw372Jl6cu4kEuuuVcqUWkAO6d+ncLMM0CQVhiuoUoZ0K4u7mW0div4QiSd8bvZ84N2lxaeGsTaTlu6XzlKbb18HLeFD3lw4eBU3NDOhR5grcc4s8G7nXKh9ibu01L0NXo2EB5D2c9tAhQGvnUbc3AV0dLsqgB0GtAeafW2t2VUkBUGVV7M/1KbeoduC80awn4RBTBLGERkHR1UujzNTOSn9WP3rvIPfVIEGcrhE6hmWfxuVa4L2bj9e2AdC5yGWnGNSnbFc3ygpZCssRzMx1KlDHdIomi6AxcwHGMcU9U+Oeq2PmaCkIAPjZa4vxmzeX4z0S26yNcyRtU+rMkf6j65NSn08YNgJi5ihLXath7BW3bs2cFOsnVZ5yo+HAWDQd+xcEargc3asYVx7XX7kHBa1xCABdilwFrrtHmVPa4zEU+Zg5TaITAbq+eWP0gtaN6nr3fesSh1C45Vbcc21vGfvzFlJOhu6nrqHBHTdBZTrc4t9q/4qxp2Njvcd17a+oTSIWCfn6ya0jaI9fEzN3CCAWCeG52Rvx6ardSszci3M3471lO/D6wi3y3P3JcqnLOtiaeOOrbXhxru0K9vrCrbjqqbmt2h63qK77fupTaczbsBfzN+4F5xxH/+YDnHjfDOV3lNH60QsLcesrX2k3PfvafmaObvDccx5gx4BRYefDFTsxfdE23z22VdSCE3/wRMp1i1Fq75AFXsZ7WbRmF8kopnFJBNQEKGKRpC4mdGPYSqzcNSTboxCSqNBOBQNdQedKRRDXMzBiU06RwHL6/Kt3VaFbUdz3O7GhUgt0EFPiWh1pjTBoM9FR4UJY5hlzn5ta9HSuR15dTpfamb5DUQuqNpHG3poE6pIWfj19mYyP1Fn8qfsLRcpy3WkUN0tnE42EmTKG3HTklJnV1GRLczmebPct+xoKM6cRjJJpSz5fdSItx15QQgIdvO50VJnTjQsBryuUiDEEVOEeANbuUq3nkXBIKnGdC1WmJKj8A2ArjF62kBYb1hWxVePLXPbTW2vSCxp36lVQAODLjeXIcYSWvZq4pfqkW7eSrhu6kh6Aa6wJMTeTbrVGSbQ/0/nkjlkqoOngZbUZU93plpDaoEExoQ2xJl4muHtxrvI3VUR2VWWOd6LjiM7H2kQaOZEQoiF3rFK3VsVFzLNmdfYyczQuMRX8OwG6LurWCGp0E7Bjn7gUcEXsOB3KNRqXRCrAB7lZUoi5niYZOqnxSOtmaXFFcb1qkq046ca09zOgusZ2KlQVImpU8wr+eTl6Zh4AVhDjwaDOBbh4Ym/5t5dB8yrPvTvkyc/9SvOV7+i88CqXdP3yn6u+b6rA+ZQ5hdHyz/uURdcpfT+K95ZMu0p5fcrt04WbyvHyvM3O9Yjxt9rd692SBu6D6OozetusO0bnQrmGCaaoTqQRj4Z9MdGKV0dNItAzoy0ja2WOMRZmjH3JGPuf83dHxti7jLFVzr8dyLm3MsZWM8ZWMMZOIcePYIwtcr57mDGvR3PbRyjE0L9TAdbuqpJWeIu7ge4FZPGgg6yphacTKQtfrC3zMX7bKmoxZ33zsIDZ4Lpn5+MnL30FALjxuS/x7tIdjb7GrLVleGbWhmZpj96yY+G8Rz7HuX/5XLqvCQv0wNum4+kvNiiMzsvzN+O52ZsCFWZqdRQbm5IGWSofqjue2MzqUxYud2rs0HtsKa/F0b/5AA+/v1pR5mQNOPJMdLNzXQ/UBCDidIUp0rivpUkMT7WGuQJUZU4Ey1O3J8p4lFXrM4O5x6hioBc+9lJmjvQNYM+ZvTVJ9C3N8/1ObAw0QDqo/k81YfRopq6ExgJJlQBxj+LcqFZAUdzQAsoNCOG+VhGY/TX5qhMp+W6j4ZBb60hhNwkzpxH2g7IrCvbTTgDjd5FT02O77RTCaiJtSWXdjpkTz0+ZOb/bE+futWm8E22bl4Hyurd4hU/6vVcQp6DpwQHVbXJiv47yczjk34KiISYLyZdmiLXzjrfcnIhP4Fcs3pZg5tQ1S4AmQAly/dZByapKmMRIKITOhTFFYRbn1hM3y6BkGkq5BRLPKoyUqnu23jgkFMLymkSDz+RdQ7p4FOnXFmz1tQdQlarKOv08dNtjt61HcRydC2OK0O5lbL2GhgKSVj4Scgsme634tUlbmaPKPk04U6dR4AU6kWeOR0PKukL7I4hJSpD9BACmDOuifK/zkLC4vZ94FRh6b6VwNUlkQpMdyXMDlDlaFkSs8Sq76X++tMWVRDydCmJgDKgg85u+Cx9LRZg5b8xjIm3J9bnG6TMBOvbEmuNlTQEgPxZRXDlFcibqjk/HTS6pX6nb1wS8+42XmRPQMUh0DfKO6aDSI6IfKDNXEzDGguKj6fx+beFWeT0BlTV2ZKsAZm6PpoQGhRK7TOaQkvE3YE+OR8I+ZU1N2uKfC+0BjWHmbgKwjPx9C4D3OeeDAbzv/A3G2HAAFwEYAeBUAH9hjIk38wiAqwEMdv4/db9a30oY0Dkf63ZXK4yH2OCoehoULG9ZHB8u34n6VBpfrC3DzS8sUJQ9yujVJdO46NEvcOHfZiptmPLAR7jgr+qxlkZjFdRvPPoFbn91ceD3X27cq9TNynRPlzVTmTkBuuB8tGIX0hbHUzPXE9dJv8XIC5rNUUC3USXI97RmUVBBWGE9+sP7K+U5ybRr2aICruJmKeOWLMWyJd3lNNmgKNIBAjwdp1v2usocdSMVda3oZrknQEB3206EPY1FmMIbxP32ku3of+t0LNlSgU6FMR/jIeL10jR1d4AQUaMwWq7CnNC8C7Umlf27HKpcBSjBQS4pQlmg91Azbdq/q01aciOia4gusQLdDINqBFYFMBeueyYpjqsIjH4FrbIuqdxbGB10wj6gZ54yjRXatfmeOkxe4Zwyc12LgxWtCg8zRzfvq48fID+XeCzXgM3MiTqW+Tlh5Ads7F4mOCfM5O8Es1elKOCOm12AK5CavCIzM0eh1JEjY2B3Vb2PWawlypxcpwKSO1BFWhgaUhaJmcwiPboY38J9e1CXgsDn8I4Lb9spguZsQ6iqTyEaZvj81imYc/tUJRFWjxLVOOCNmaOCM4136pCvjiGL+40SFufy3epKRQhQob13hzytyy7gZyu870qsBUf066Ac163TacveU/Ji6jj/bHWZ71zAM2aF94Zm7/EKxII1VWvr6Q1CwhCeSlvK/fJjEcQjYU8mXX1GSAAoyXXfZzzqF3fFesM50Iv0P32/QkEb3qMYo3oWK78viEcU9ksobqUFOXIdpy7esWgYt542DLeffpiy1nmVLq+hyOtSLlCqUTCpcpnRzZI8o8hgmiKJqoJcefdpQjgSTgKUs8b2AAB8smoX3l6y3ZcdGlCTaCkukgHxczqGLchVnSLIsBOLhuR+kONZpwW8bpjtAVkpc4yxXgDOAPAPcvgsAE86n58EcDY5/jznvJ5zvg7AagATGWPdARRxzmdyW/p8ivymXaE4N4qq+pTrZmmpNb4EgoS9z9bsxuVPzMGtLy/C5Y/PwSvztyjCPhXKNu9VY76G//wt/GXG6sCEEi2JxniAUsUvyIXonL98jmuengfAFsZE6naB8poEJtzzPv760Rp9VsaEfjEQm0i/0nxtnRIqaNJ2Jon1iMlEDv73TtuQSnOFmRNYu8st+OvWUCGWTeKmQN+PYh0lv9NlqAwKChZQlDklENr9vIoUJqb31RVx9va/tyCqrkCnWCS9i6W3RtiTTsB1yuIozo1KIdkLXepur7XSFajdjSptue9QGStkLIg5a2fB1DCaDWw4AKSrVVBGPXo9ce8gxcdrPQRUxV+NffJbq2mNNMrM1QS0R/Q1jXGi4y2ImdMpttRlzcuEUyu2YMSCQJW5WCSMoweUAvAzbF5XytxoGE9eMRHv/PB4xcVGZ/GOhJgUyuLRsC9WSkC8vwmOwBwOMfnsw7oVAiBjj+vnqdbNkih+2cBrgRYMQsriPrc9NamJK4jpUKlhvJIktpeuIUHZ9bxtG5xBmfMq4LTt3uxzaqIeD7tVECzAV9YlfTUEBQZ0Vt3e6pIWCmMRqZREIyF8fYwtrJ4+qrs8z+sCB8BXdDiZpvMmmJmjLM6kwZ2V7xQB18OweeOvaokhymsIG91LVUhEDFPQ3PMaM3QJg2jblm2z3WH7dFSZJzGG6DMryXeUeC53f6PrSQHpD901vBjWvVB+1rnO0fdNk8/cfsZw+Vnsa/FICCUeN8qCWESJqxUKcVE8KhXxTSRuLiccwvdOGIirjh+AMb1K5PFiz3W9brS6BE6MuYomBY3L884b+o4tDvTumKuM1TQJRQhy5d3nyTAMOMycxdGtOI5uRXFwDnzvX/O0sb9JixYNJ8pcwB6qS2ynk++8CDLuxiNhyZB6lWgBrxtme0C2zNzvAfwUAH07XTnn2wDA+Vfw+T0B0Dzbm51jPZ3P3uPtDlHHXcmNv6JFld3BS90DqBuCEK5W7qyUftxbymuxaU8Nrnt2vuIitKXcXQgsyy6g+bu3VhyAp8oOVBAJKrCsg5pxquHffeuxWbjsn7OVhXzWuj3YXVWPl+Zt1ipl1H1NlzgkHGLK4iPgZYXkZ8L+ie1Qlw1NUeYskiwkIEWzzqpE67QEMXM6lywaixLkDy/w4rxNrltfvV+oA+yA7V4dVAs1zSIV5LoAAF2KVMFRyZLobOTfmNAbgG0RpQodFQxpUWzA3hiDBA2lOKjTj17FT8fMWdx9b7T/yzSKVCjEpAVRCVIPEGApxCZNn6cqwBotsvUFxUzWKu/I7+JbpyiXfuYiaalJZlxmkrrL+dtGS4hQRSOImauqT/kUal0ZEiEEKcpcLPMm6mU8RjmCaUNeAvFoCCcM6YwhXQsVAV9XsiASdpW5WCQkz+/pYW5EPwqBKhIKSUv4mN4lyrk65gLQewWk01xbWy4IPjYiTyRi4b44ITrPhFAWbNn2s3RpwswFZYbMpHSMJy6uXngZti6FrlA60KNo6WK/dL8r8LjW7atLBQpqNJ5JoEN+jlQCoiGGBy4cgyV3nYKRhKHRGQSyTaDgfff5sTAe/84E3H/BGPQoCY4JFfNUKDbe+FGxb8SjYV96fmFoEEg5LsBBrmW5OV623P/udXFNkz0ungJB443KTvvqXCaYXjsUYpKNysYVbkQPu5+O7N9Rq8xRl8RoxH1R9B2J8ZKbE/YpRwWxiDT0DuiUL9tEjRZUn6Fs3PAeRfKz97peZo4aGoR7ZiwS8rl1A6pR1ZvN0zvHOuTlKIpiytIbHSgUt21iEEqlLURDIWX/fezTtb7fc+7KBvVZxoF6GVHFCFqTRDTM0LUomMmniEdD6Fliv8OgenIHpTLHGDsTwE7O+bwsr6mLg+MZjuvueTVjbC5jbO6uXbt0p7QqouGQ4xbnWlJFMoUgJUGX/jnEmNx4tpbX4nv/moc3vtqGeRv2ynN1RTcpmhqLBwDXPj0Pv3hNdXvknGPJ1orA32RTO41ixfZKXP/s/EZnjlq0xW4DfW9CQM3LCSuKtK5tappj+5xQiMl703N1hbLp56TCePiVGaq03PDcl4SZ0zM+OgYtkXIt3kFFnKkFSrTZIhkqFTdLTfyYXRcos4sUAAzpqm721YSFrs7ACFMhygvxO7FpMaa6BtG2py2uZA0tyo34shMC9qJMs7aJZyrwMITiuGVxrTJD3ytNm0/TsesTx+gVLQrxvNR9VcngJgRxzrXPWKVxyQRAmGk18YJsG/lcQZRE6dZLMhEGMYV1nnFVEIsocYcqM6cqc17XM9qfgFCS7A2TCjIxDWsSYq7i5918BVNy3rhe8pjOLZJuzlSo0zNzrkDCuXvP3h1VZU4kfRFJD8Ihhj9dPA5fH9MDR/RV3duCBBUdhMJ8xujuPgUSAC45so/yt1dA6yiUOWgs8xrmVWdcy4mEtLFoybSrzAeVlagJyFA4sV9HXOQYc04b2U0e//mZNgviLSdB14feHpbHm+CG9jkV6ryukkCwEtCHxDAJQ1NhPCLXhw75OYiGQ8iPRXDMwFJ5rlaZi4Rx4tDOvuPee3sV8bycCCYP64Lzj+ilMD7e0E7XldEep77MiAlXmfNu015XZpFQy3tcwMtuellvwM/G50Zd1twLnZLgVTjpOk3lnmTKkvsMNQh62UeB/FgY02+chL9fNl4r19BnDoco6++vJzqsW5HPbVEo9Z/fchJev+E42Z8jiKJG4S1vIeCdp5V1SWXuD+jkKofDu9vXDjPm84YBbGPUGMfINbKnvh0C0XBI2S93VtbL2nhBZXboWi6Ih6r6NCxu35sqmF+s3aP8VnSTYOHVouHBa+Rlx/STn2lCMoHi3Byf4gqozJtYp2PRMI4dZI/NbRV+IyOQnaGgrSEb89GxAL7OGFsP4HkAJzHGngaww3GdhPOvSK+1GUBv8vteALY6x3tpjvvAOX+Ucz6ecz6+c2f/gtjaiIRDdr0lZxzSTIRKwWONOwLgWrRDjMmNYFdVPZY67glK0KgmhofCq1BR989dlfUZ4wneXLwdT87coLj1PTd7E854+FPFxZEqjHQTpb/bsa8Ov5m+zMcIXfToTPzvq21YTdz3guKLdNfVvTehTAOqEkBdVakQLBaMMHOVufIa/XtNKvFvriun2Gx0C1zS47IprO1BRYVVpcvPzCU1zwwAZVX+RAYpku1MrfWjCminj+qm/B3kIgXAZ+FS4sg8z08FXMrMBaU2EpshQ3BQt9caWxiPKtkSBUrzY45FUFU0fVZOweLSBCgkuxzNZrhzn/uOpTLHCDNXpx83VNGidZ3E1KEMu859rS5p+ZITlObnqDF6lJmz/H0eJFzXE8FInK/WJGy4qHJuNIxTRnTDjn11WsW+0vNeOubrY3jERh+PhqWQSJUr6vIjhPmcSEiOlYhHmRvZsxjr7z0DJ49wx/fU4V197aeudfR+MSKoCoUgSpi5lOVm0OxFmBvKhHSQzBzD8B5FePjiw30GBd2aJwRwb/kDEc/ZIS+qnSPe8zMlS8jkniiMB/UaIcqblW8fyWbqll5p2D2TGkqOHNAR+bEI5t0xFX+8+HB5XLiued1vqTLX1cM8efc1em5fkiWQCvl5kmFR+2b6jZPw1g8m4czRPeQxMT8i4ZCcwxMIqygScQDq+xbjOycSwvWTBwFwhW/Ar3R5GUY6bqhhw6tECIg51KkgprgaizbHIiElrhaw38PJZI5UJ9LYuKcmUID1uozq4N1D+pbm+bI1Cog9WLDsIQb0CEhmRMuiAPZ7EMlJ4lGXmaLjgyYviYRCGN6jCEXxKHbs8yv29H1Hyfuja4RQbo4a0FGuI5OHdsaJQztjrMPA9yjJRUEsIs8d4WGSBLzzUUCsD2Le7atTC4VT907B0tUm0z73TMDu30cvHY8Pf3wiBndxDbNBDLKO3QNcGerHJw9R26pJVLLHSYbmVQ69EPNUl9nW63J8/wVjcPHE3ph+4yRl3pTmx3xrTwlZKymrShMK9XQ8jmKRkLKWC/Qg9zgoY+Y457dyzntxzvvBTmzyAef8WwBeB3CZc9plAF5zPr8O4CLGWIwx1h92opPZjitmJWPsKCeL5aXkN+0K0TBD0nKZuQTJxEcF+5oAxoda/MX6Qb+nG265JjsPdTWiv7MsjpG/eBt3/GcR0hbHhHvew7cfm9Xg89DYH+Hvvo7EeFGFigqP9Fn/NXMD/vbxWvxrppqtUigx+wKU0rKqery2YIuiMNL2qJkd7efPcZRpegxQN3gq/FM3S7FgKCyXpr6J/XxOn1oczCGWdcJu0rOwiHYkFGUuwM1SEzNHv1eL2PqLdNen0vJ3VGD0KtXTPAKuWk9MPbezh2Gjfedl5gpjUblA0xgXbyY6wN60Cxw3OsaCXeq8CnNRPIK7vj7Cd16/TnmoSaR9RcqDlEQ7m6fLoCfS/noyND5MsHDhENO6p6q1/NzP1z07X7knoBY2VgRqyY6kFaavMB5BPBpWk6VoYubqNAxcJoh3VJPQP0dQ1tGJ/TtiymFd1HiogIK/ANAxXy+0CFe2uCcIXQgrNAlFf0cYjIRcZS4noJjrUMImn0IUOyHMxwOYOQoxjiPhkBS6uhXH5XpL3Y+HEoGhmDBzAl6GUWeIE+/CG4cjjBm50TBCzjULYxGEmD2PdcL1gE6u4NyB1LvzWqsV45dwsxSKNhHCaOIIgNQIS3Of0pWJbaJ7hIjlKS2IKUq5jn0E1JgrKqwLQSsvJyz7lwpnlPULEauSeBe5HqZpeI8iDOtWpBW0b57mCrJUKQOA/91wHL4xvreSVbW/0w85YSbHmcW5dI2b4HEz9TrW0HdJ+5n2I22nGHPFeVGtMhaPhjX3iOCM0d195wbFhupcRr33EnvP1MPsfaZDXg66O26iE/urzyzmgvAAsbi7Zget3T85ZSj+fMk4TD2sC7o6QvemPbVSyaUGyO5kPNE5qXoA2M9EXQIjYYZzD7cjf3Jzwrh+8iAlG+jInsU4dWQ3HD+kM24/YzieuHyiL1ZXuCweRsbKL77mxt/p2CPA3XfoeKMsHmNMjgcxLyzuKsFU+cjLiaBrURz9O+Urbta9yfol5k00EkJBQJuEDDWaxPYJiLVQzG+xJPQsyQ1UDoHMSY28e8j5R/TCb84djeE9ihQD1hF9/e2JhkOyL+g8pW70h/e2vSVywiElrla8C8r+ew0+7QH7U2fuXgDTGGOrAExz/gbnfAmAFwAsBfAWgOs452InuxZ2EpXVANYAeHM/7t9qiDrWOpqaPimt36pb4MPvr8JrC7YojI9wgaDrgM4NE1BT8FJmSkBMJk7KIzw/Z5N0Kfhqc7DLpABVHkSbxOSsT6U9WQlpogqOuev3IG1xOUkFu+gFVWZobNvD76/CTc8vwCerdpPnJMJAys4UyjmXikQk7Lq96WJAvNegbEyt1s2SCh8k/k0wc7RGmJaZ01uo61NpucAoqXYTgplVx5CIRVFZE/d+ZdX1cqEU51AFjrpyJVKWsnB2K/LE+wSkKAb8ipjOrUZs8DmRkFzY84gwSIUWMabi0bDckBiYVEi9wtza3Wrdr6LcKC47ph9e/f4xmHXbFHlcCE4ykYfzHLoMX4Aazyh+MyKDGwp1h9a5JFYpypxeCRLGiPJqfca1ShK3ROOLinOjiIaZMm90Chh1kQvKyqo+k/r83vYEudZ0L477XAepYu8dI5SZowKaEETi0bC0csciYfzklKEAbHbsiL4dMG14V8kmV9WnpFAe5BbTpzQPfUvzcN64XgojkE+SFwiU5uegKB7B5KGdpZHmd+eNdtm/EMPJI7ri998YizvOGC6L4Ir4G0DNyigEKSU5i0dh0I2PXg6r7VUiOLfPz42GIXTXkvwoVvzqNPztW0dIRZGyZ1S5pIp0EKMDuHuHUM7Eu8qNhn3td39j+RMfeYS3IHa3Z0AM2PAeRdItjSoJRw5w1xAqrAs2Shg87GNhuc6M6FksBbo00WREO/MyCGoPXjgG3yRurIO7FOCtH0zCjB+fKBVrgRE9ivHb80cr3gmCsc2JhBBxOi9lcbzwvaPx0U9OVLISisuFQwxnO1kAaUILKsDSdyzGaWE8Ij8HxRXrMjjmRsPakhy3n36Y7xhtBzU6eJO+iPVxbG97jhTEI4iGQ1h+96k+Q5zYu/oRA0RDylxh3FZAGWO44li3SLdg06myT40A1PA9/aZJ7u+csU4NGPmxCH57/mi8d/PxKIpH8eNThuKx70zA01ceid+dNxrRcAgT+3fEU1dMDMzK+uil4/H45RNQEIvgme8eiScun4DLSXuD5uNfv3UEfnfeaMUQVRSP4u+XjpfM2H+vPw6f3XKSMkaE8YsabykzVkrW4V7kvQjFJSfMpIHsJ6cM1RphdcnHdPGlAHDaqG6BcWiAavD1Jh8RRuMBnfJ9bqrUsEH790jHUDChXwc5rmjSmxE9itCjOI4bpwzGkK52n9Uk0sr4FeObKuAHq5ulBOd8Buf8TOdzGed8Cud8sPPvHnLePZzzgZzzoZzzN8nxuZzzkc531/P9CfhqRYhFWlg5kymS8jzN5SJdm0jjwXdX4qbnF8hseIAbNErTIlMLJhWudMwcHdjJtIVnZm1A/1unSzcCRq4hBqr3VdPyBzS+SrSJA9i5rw5D73gLf//EDWKlStCqnZU4/68z8fPXFkulhGlDI1U3Q+oOKSwg8ze6cYJeReycRz7HhHvel0wArbOl1MUKiJkTbatLuixWkJB8zL0fuEWPLX8cpE7Y9RYPFqhNWtr7CQGeCkWJlIW0SF0ekA2uLmn5FB81JbyaZCESYnIzD9okAX+NNKoEluRFtcKZ2JRyIiEpaHcvjuO9m0/AM989UnGLoBks6UIvkkSc4Ikt8Solwpp5eJ8OyqZN4wgodJm/BMSzinfstbZTVJFU8boEKEEp5gHgyc/XY8nWCtnHVClXkp7UCGXOUvqhODeK/FjEk33Qb7ig9xVjLCB8xNd+Acq0BAniXYvivo2+RpNpVaAjEfyE4JMTCUlXXJpYJBZxM+5ZnOPla4/B3y8dr1hKRQytN7svxYwfn4gHLhyDAZ3zEQ0z3DxtiFQCIkSoi0fDWPDzk/HP70yQrnIcnLhyMsQiYZx9eE/Eo2FcfbwtjNEYKGowEOtxSGHmaL03fYcIgSgS0m/DsWhYfhcNhRANhxAKMXltKpD0p8wcOa5jm3SCPOAKbbk5aup3ChqjKqBjdHTCEHX5oohHw3LNoetUbjQsGSTKfglltiAWIa66Ibxx4yS8eM3RKIhF8OI1R+OtH0ySY/voAaVyzcqU3ODccb1wzzmj5N+lBTkY1q1IUTy8GNbNXUPEu8gJh+Ra/d3j+qNrURx9S/MVBkWsZfk5YTxw4Vi8fO0xSj9ShVqnzA3vXiRZt8J4RCbwoOfqWOj8WBhhjR98UPp7Mb4py+GNiRUQ/TSuTwd5/yCXtX4kRrGLpv/pMKXP0bkwhqeumIh/fme8ZGRPHuF6ntDr0rFO907RJhozZxvQQhjkGafHDe6ECyf0RjboWhTH5KE2m3fsoE44caiaBMYb4ybG/ciexbhwQm+lPYXxCKYN74rrTxoMwDbY9CzJVa4hkuQEJVmhsiJlGYXRIRoOyT05PyesHedUORTvdhTJiErXulgkrLDhXtAx5FVsRZjJK98/Bm/cOEn5TozzcX1KFBngT5eMwxe3TsGdXxuBkY6xjcb89+2Yh89vnYKbpw2R90ukLZ9hBrD74i/fHIdjB5ViSMBa1ZaxP8zcIQuRblwwIQknLStgD0gxOdQEKCRDYcJNyCCUHxonRgV0Xd0rlZmzZO02kWSBMaakVa9JpND/1un418z18neUxamoTeL8Rz7H45+tc4UbzrFyh+1q+dqXW+S5X24ql5+FUvbc7I1SsKVzhCqMNAEIzdapE3SoAptMW1i4qRy7q+olE0ALVFZrXNYA9x3S4q5KMhHClHgTy7gJI1w3SyHAVGlYqiDBZ09AUW2qzIo21ibTcjGrVgR4tW0+ZS6AYatPWYiEmVwEg1L7A37WgNbeCop7EFbaWCQk7zugUz4GdSnAsYM6oRsRvoRAGY+GJaMXYnbigxk/PlFZ4HUuZMUBQeP9O+vb5o3XonCTethtpsKTN1MiLdJdrxlDFN53+IvXl+CMhz/V1gtTavWR2kteZs5XgFqTcITOY6EEZ3r+hhDEzA3sUgDGGO49dxTOHN0dnQpyMhaBporYeIfRi4VDsq8t7grlsUhIGpGoXYQqIn/91jgAwK2nDQu8p7hGPBrG8rtPw41TBuPK4/o711IF1VCIKcY0AMSVUx2DVx8/EOt+c7qy7tJ5KI5HFGXOL7R7Id5RUMF5283S/kyVUSE8UWGIvu9MMXNAcDpuyswJS793vUlbXBqdBHRuVTp2PMidMhoOSYMNNcQwxvDQhWPx1g8mKS6uMcnMRSXLFouEcVj3IukRkB+LYFi3Iplw5dmrjnTd+rJI3OVmM23YQt+/Uz46FcRweJ8SqcTmREIojEex/t4zcNFEl+mjSq5wOy2IRRAOMR/zrcTMxSkrZn/uXhyX8XCF8ahU0Oh6qivDkJsT0QqzQRAGV+qapivHANiGuRe+dzS+R2o5BrG8IraxIBaRDFN+jsuw0oRaXuPA8UM646RhXXHfBaPx+OUTcNYYNzE6ZW6CDCViPRdsjX3vA+dad+fXhmNYt0Lfe3/zpkl448bj5N/0OYPcXsVeHg0zX21EwB++IOL6TiXux8LIlUMyYtYmLa3iTZW5S47sgxe+dzSuO3GQPOYtfs5k//n3IWooDoof1BkghvcowuXH9sMj3zpCWU/zcsLoVhxHKMRw+xmH4aVrjlYMtDmaOSTWtj9dcjhe+f4xUt7qVhTH6aO645nvHqWNRWzrMMpcExCVzJyjXKRcN8uUZUmBNKgOkxCYkmkLHP6kFw3FzFFhg2Y+FEpSiLlCXijEsMhxtXxhrlsZgrI4X22uwNwNe3HXf5cqzJpoMxWwH/3YZemEu6TF3XeR5rZb5N8/XqvUB6HMlKKskeLXAguIwqhzAUuQWig1ioKmSSvP3HgnqohRNs3LqshMmaIWSjKtZVjktTSJAErzc5RkGjVKrJUa29SpIIa6pEXisvxCu0C3Yr1gCKjjJm1xREIhmS42kx+7N5tljCym3oVaQCzEOeEQbpo6GNEww2HENYIyc3KjjoURdcZSyuKIR21LIE3jLK5LN5WgTa1/gKIZ5GZJIZQvasX0Cpuiz5JpNQumDkFKni7DPB3/e0myHCrUF8Wjvuem41ew0JRwF9fyJsjwIlPadG9guUgJL2qpXTSxD/50ybgGhdwhXQtloL6I16ysT0l3wPpUWtZkouwu9SCgm/2pI7tj/b1n4HsnDMx4XwFhkf/GhD745KeTfYKygDg+oHOBFFB1Bgyh+A3rVojS/BwlyYYYqzrXHcCfUEhABOpvr6iTfUJdJ3NzXGYuosm0R+c0dXsqyDCmgWBXL2Hx71IUk0z0NScM8J3nHeu6+UkViusnD8Jnt5yUUYEQz+L1IMiJhDCsW5Hi4icUFOpmqHMnBIB7zhmFZb88FYwxnDvOFvhnr9+jPZfi7R8ej5euObrB8wB7rM26bQqeu+ooMqb184MKql0dwTYoi2SO4mYZ9X3umB+Tylw8GpLvlyrEuveSF3WZuXCIYdGdJ+PLn01Tzrn77JHys0gMQftUV99MtHli/44ellr/LnqV5OL/Th2G/91wnNzXymuTUkGngn8Qu5eXE8HkoV2U+w0k+0kQC33DSYPw7aP64pzDe+HC8b0AwJcopjnxnWP7460fHO873qkgprhvUwOTN1mOgBgv0XBIe45XKX3xmqPx2S0naVnhSCiE84/o7RyLab066PjMy4lgYv+OKIxH5LnHDOwEwM2yK2RIb5y+eF4BaqAQhgLG9PtXNBzCL742Al2L4ooMROdTPBrG+H4dlfhoJe7UMQqLvfzM0T0kgwyorurtEe0vyq8NQARv1ybdBCjUzVLMBzXbnT+RQYKkeU5SV6cAZk64FNIBSpUSIcwxqMzcSieTJB2slI1atKVcfhZricW5dOUKymalc/FLpCy8s3Q77pm+DJ+vcePg9hAmjAqzQmigPt//I9kAd2szOLrvmwoWtDBxFcm+pmPmKLysirA8yzpcCb9CSaErGdG7Y56ilOpYFYFOhTnYvq9OKoz0Ht77UWtlOMQyusiFQwwPXDAGD723EgUZrI7eLFKjehbj75eOxyerdmErSdxRnBuV41EI2nmxCE4Z0Q2r7jlduYZOQetcGMNAxzWyJ7G0H0+K4/Yvzceuynp0yIuitsJ+r96g8WMHleKz1WW+unYCpR5XHYu7/wqIPqOKTc8OuVhf5madFO8zZVm+hDL5OWGFQQ1KPqJj5qjCRLPRUoMHFc4Eglw1BUR7aLKVaNiuiRmPhmQ/lxbkyNizvJxwYLwfAFw3eRCmDOvqs1RSpsg7DgF7rXn9+uOQSlsozo1i0uBOOG1kd2k1/eaRfbFkqx1faytz9u+sAGVuf+BNa09x0YTeOGpAKfp3ykeXwhjeXboDF4wPdql67fpjwTmwea87Tk4f1R2b99bismP6ymOUjQgywIzsWYzvHNMPh/cpwa2vLEIibc8R4ZJOxwBljQUTSIUeKvhSY4w3uQoQbNgRitHUw7qiojaJRz9eq7g3CnjjI8X1OhXkyCRNVGjrXBjTKpU3TRmMtxZvB+DOCW+haflMRCGIyYK/UXk8KKlNOMSkW6UQ3ESSi0zoWZIbyCQG3SccCiMv6mSzDDCY0Pj0/iQroQ60f6mBShg+OuZH0askD4u37ENeTkQep+fqFKm8nLCS4VmnjNMYU6EQqa68+rmpE8TpMbEeAfa8v/ZE2zgjPBS+Mb43bv+P7WmkKHONiGE6vHcJOuRFsbcm6fvd2N4l6FYUV1LdC9fCIENda+E7pI0UBUSZ0/Wd1zgQJS6/AoIVrkmkMLF/R3x2y0noXhTH6wvtBPPnH9ELL82zjf9UCZSeNSGbFdy8txYDuxRg+d2nStkxJP9lyI2GlfEdxMyN6VWC95fvRF407POY8IJmEtYp67S9dL4JOcJrfP/+iQPxlxlrAuMg2wuMMtcEiAG93knUQN3+Upab7UvJ/KZR7JLEPTOollm5JtYqKJuljEtj7iCOhEPyd9RiS9moNSQ1u7hy2nKzJwZZ1pTaccLlNOWmWN+4xxV46HMIwZcxaN3XaFwMFZKF4lpHmLLgrHyOKyt3lZVslbnFWyvAyDvctMdtj65Y7Zx1fkvviB5FqjKXQRDvVpSLxVvcxDG0Pd6NXsnaVRyX76ogFvE9XyTE8LUxPfC1MT2U417FhmJ0r2KEQwzThnfFtOFdcefrS+R3udEwKmqTyAmH5CZZEJCRcnDXQnz7qL4Y0q0Q8xxLeKeCGPqU5uG5q45SBFyqKBzetwSz1+9BQTyCWHXIYfBUAeGxyyagqj6lTWTAmGo1LohFsK8uhfyciKIMib6lhoquniyeYp6m0hz1zJsKOQfViVrkhENIpK1AQcAbTkkFXi/2kOM5kZDv+RRmTuPuq0MkFEIynUZpfkwqeR3zXWWuY34OahLBcWh5ORGtywl13yrOjfriHLsUxpRN+V9XHik/z75tCjoXxnCb4x5uW3lFzJx7jUzJO5oLjDEppPYtzccHPz4x4/luvJaaUVAIpd7zADumavoiW2k5eXhXvLN0h/zuTic5xM8cAbZTQUy6t9MEKHScisx3I3oU45bTDsPaXVWeTJruuaIPQswWrlIWD8yod9GE3jh3XE9MGtwZIWYrqVTAEQIyYCtdYn0XSSjqkrZXSiJlKQaVIObph9OG4IdO9j5hNBqWIYb1rR9MQllVAr9/b6XdnvyonHdBzBxFOMSw/O5Tsy7o3RQIN7kg10JqcLxoQh+88dU2/OJr/ky9gDoXJg3uhEc/XouRPYukIpW2gN+ePxqnj7b7KSyVOX+yGIqh3QqlISUgxF2JexrY2R4DRw8oxR8/WA0gOAGG7t1SRbtDXo4cv9RteVyfDphz+1Q7bmnGGmzcU6OM6WxSxU+/cRIWbi4HYwzz7piGFTsqfUrMf6471vc7YXgIYhtbC94yLAJi/goX4mtOGIjhPYpw43NfAvDXWdWhfye38DjgZ/An9OsglTnqPk7XoQGdC6T8Qfs4RNacn505HLe9ukh+R5U5YQT61lF95N6WjdKeKSMmYI+rMb1LsHBTueKtJa7t9T75ySlDccNJgwMNQu0Fxs2yCRBWabGZUTfDlMWlgqbUiKKp4OtdhknEylGljAqd1PovGC0lAUpKb9kXCkyEpOOnoBYLOuBrZLa/tGTFgrI1VtX5heNE2pKufVTg3KO4Wdqf4xE3NoOeS9k4mtREKLxUERXMhjfeSS3uLNwX9RZQb7HK7z8zH5N+96GvmG5OJKRNwPDWku2+Y97C23Rj9jJzwz2ZmzIVYy/KjeKTn07GM989EhcSBqGTxrUw4nknYmMXbhgh5jKxImD/Z2cOV37z41OG4vuOoCqytsUiISnMZ4ozuPvskfj2UX2l9VBksjp6YKli5aUQAe0WB2bdNgWf/d9JPktdPBpWLP+AuxnFI2FPNjP7mUd66v5Q67CA1z1TGBJoFkwBXfa1Xh1yfWm40x5mrlQTzyYElTIyDyOa+j9UsdcVGNdB/IZmB6PCni4xDrWYBgnJ4pxYJCRjNOjvMllXuxTFne+504aYZKAoMxePhtGzJBd3n6UXdlsTmWJQAVWhusBx4wIglRcvxGNTQSUeDctCxlTQuHB8b1w8sQ++d8IADOpSgJNHdFPco7yeFDNvPQmzb5/qZvAjbae/K8qN4sShXRB24gnH9i7xuIu6xg7qfi3Y1qr6lIxHo8aakiyU8ouduDJajNuLYd2KcOygTvJddS/OlbGQ4YDYKC/ipNzDgYAY9kGuzleSzIY9SuL49P9O0rqjAcDonsWYNNh2YRvdqwSf/HQyXrrmGExw1piOBTkozo3i646x7vgh9rlUMKcZhs89vCe+d/wAlJKadEGvgr7Oy47ph9euOxbHDOokj+kSZeSQ2FcKqpTR9cY7TsXYF3Gx1OsxG5Z0eI8iOY5CIaZkJ8yE88b1wr3njsJ3J/Vv+OQWwN1njcAfLhob+H1uThiL7jwZ/3eq/Z5uOW2YHAPi+4Zw4pAu+N15o2VyFQHxznNzIvjzJePwnWP6KfOFKuA/PWUo4tGQrzi8GDuMMVxyZB+sv/cM+R1dN4R3TjwSlutpNgpVPBrGTVMG46krJgae88Op9nNRl1ux915CYlhFOxvD/LZVGGauCaAWE8GIVCf8Chplo6ibXZWMmeNKkg0BnQsV4AqXNBNVkgiLrpslSEISJovCpi2OeRv2Yv6GvRjbp8T9HWnnbsdqVpe0sMv5HCQ4UqWknrhZCoGMsmpltEaahpkT94iEmKLMVGri3Go0biml+TElRo+WPxClB4KZOf1xb8mGXh1ylQLTQfjOMf207k0CXmWOCtqFsYg2Lk8gNxpG74556N0xD0uFdRW2dZG6CAL+4O9nvnsknv5iI3ZW1uGz1WXIj0VQl0wjmbYz+X12y0m++xXEIvjpqcNw87Qh+OlLX2HO+r2I54SlBTovCyugGItBbpGAvYHvrqqXLhR7qxONspQO7FKALeW1yImEFIFYzK+zD++BmWvLfL/LiYTw90vHY/PeGp/7hTCepAiDLiAUmO376uSYLc6N4oxR3TGbMLV0LDOmzwJX4riUUoshg2thpayrYFWDCjaX5EVRmp+jsO2AnTlUMEKdiEAl4rwoW0s37CCLeDFJgCMU+qMHlGJ9WTXO1NSw0kEWEo9FtG6WALRjsi0gj2Ro1SE3GkZhLIKbpg5WXBWDhBWxtnUu8Cpz9mfK9HUrjuM3545Sfk+ZFK8iIe4v1mPK/Jfk5UhWVZdSPOLUQrW4rYQv314JwGZrRDmZy47ph44FMXDOcdPzCwDYrN7v31sFIPO8FxAeBGLvFKn6dRD7VbeiOErz7fPX7KwKPL8lIcZ0UGhCF6IQRxtQQEMhpjDawlhyyohueP7qo3w162457TAcM6gTjuzfEfe9vQKAytJcfGQf+RuXPdFrc/R4OMRk5mGB44hiJ7wNGorVBdS40qAU9kLhownEGmJj9gfhEFOS1LQ2vn10vwbP0blX/vjkIZJFbQihENNm6BSrb140jKnDu/rqEdJxPbJnMZbffZrvGkKhp0NLuFvS8Shi6+JRN5Y+W3YsyCgmcOLQLvj4J5PRhyiPuTlhrPn16RmzPbdnGGauCaCFa4VwRpOaCKFoX0D9JuGqlyDumYqbZZ0ruFEI5ZAKiPR3wgWGMVeA5txlFRIpC3f/bynumb4MHyzfKX9HGYEdUplLu8qcR/kQTI1Sc0skJ0lZMg6QCsdUsRPtTJEizkLB8WZnom6NgsUTwghlQWhxTEBlDb2FkG88aZDyd1DMUF0yLV0MIuEQOjmWneLcKF6+9mj8/htjtb+78+sjFAbG6/ZAlfUQU62OlB3yso2AN+A3mFUC/JlCj+jbEQ99Y6wUGPNJnEVDbkqRcEi6Dom0+QAQzWJlFEKIN00zxfdOGIjbzxiOox3L/OCu2W1KD198OHp3zMU4YpwA7PTGb940SSYioKyCkko5HMK04V1x+bH9FcaKoi5l+RS9HSS5jVBsdfWbaOa8aMjvOgmoAp54VyESy0INA5lKTAB28o5nvnuU7ziNYaRzTGZwJO+Erm9BFkuZACfiKvbFuVG89YPjfdbeIIi1LxphrpulXkdtcwiFGO47f7SSic77/aK7TsF3J9kJRMSwCBJ4hRIwjiRqyc+JyPHU0PxUlbnMAhH1BKBjy8vkA7ZgJoTurkSgphZvxhi+PqYHzhrbUwrd1DOhS2Fw0iYvIuEQZt82BfddMCbwHKGc9u6YJ9cUWpOuNSH6MVMf/O+G4/CjaUP2iyE8akCpb60JhxgmD+2CvJwISvKiOHaQyphQ12jxW12JAiCYWX/6yiNx3eSByM0Jy6yonZ3+7RywflKo8Xz6MS3G1pTDukoPjobiqAyA608ajNNGZTakXTyxj8LiBUG3FgB6mcQLGjMn8NK1dobTglgEs26bgo9+cqIMzYlH3UQuQdmUm4I+muRtwuvgYIRh5poAynj07ZiPTXtqpctlYDFeTWxXMm3JBAlUQRMDujg3qtRnE4wWFSxpevC9Ms25JRW/RJq79fDSlrTCUksmNYaL8ga1ibT07/cyWpOHdcFfZqxRGCRx3UTa8jFdXYtiivBb4bTNTvku3CztZ+teHFdi7ZTSDPWuUgp4lCCP+1pQ3CEAn9AulN1fnT0SdzixK4Btje5eHMeW8lpwzuVG1K0ojiP6dsTw7sGJI2gq7eJctVYbHRcleTnKotMxP0cybJ0KYr4iyTR1MU10IBitLoUx7K6qh8WDM3kJJSE/Fsa+OvucbFJwi3OKc6OyHUHB+xQ3TxuCr4/p4XM91aEgFsF7Nx+vdUfU4etjeuDrY3rgv07gtmDi3DpH/hpJhfEI6h2mmCoxOldVwB8YnxMJyTF1xbH98ebibdhXl0I8GvYp0CmLywQh0bDrztGzJBe7q+pRn7IUIbm0IAcVtUkw5rrDdcjLke69JXn6mDuRyKRvaZ424UYvEuNChXmX/YuiLmnP0YcvPhzn/3UmgGBLqWjb7qp6KZSN7l2sPTcIYv52KYzLOXEgM8o1NzIlSvGiKDeK8ppkoJDUrSiO7fvqFAZkWPdC6T7Y0Pyk8kmQkPzABWOQsiycOboH/vaRnZXYZkpsFrchpoi6L3uNJwJv/+B4Xx8GzasgdAko5SDw50vGYd7GPZjQrwMYY1j6y1OyiqlqCQiX07EZ5sLInsU+t+/mxpzbp/pYN2oQEKRYkFwbYrabfJ3H0Hnc4E44znH9zHfikTsXxrBsG7JyaxzVs1gmOAti5joVxPDVnSejICeCK4/r3+YSk7RneBl9Lxoq/RzEOFOIcUeH1ogexTJrpzCsCrkrHg3LGMwgmcWgYRhmrgmgG/JYj/sBjefapygimvpkhMWqVRKkpBEOMZ8VXyh2SiweUZyou+RzszcBsLPp0Xp4YtOjChPgbrgiXm1XVb0vqYGAWISr6qgbpf27RMryKX/eOktCKU1rmDnvuUGFwGmbAT8zRZXcMo/w6423Eoo2FYLEmiISjnDu/q6rIyzTjfAKEgsBAN1L3OfwJnKgSnBxbhRF8ahcxKgV29tOQGVKaHuFgtalKCZ/F7RZCv90WpQ6m0WaMnNCmcuUCVEgPxbxuelkwqAuhYEFbIMgFBhvfOdJTqFU+i5PGOIyhPS5RZr6/AA2SigfDO5cvGnqYNkn8WjItxkl05ZUmArjUVKsNizjB6gLkQhuZ1CzBAp0DHA9FXFJQemVKXM9oHM+nr7ySPQsycV4p+QAFcCHkGsECclCoQwx142OZiXNBj+cNhh//dY4HDOwFP2cgHxvzOHBggcuGINBXQpQkqvvvyeumICbpgxGj+I4/nfDcXjuqqMQDYdkApSGmLmgBCgU5x3RC9+Y0MdXKFleI0DRFIZGuvYEGWY65ufIufb0lUfi6uMHBCZyaCqK86I4aVhXaWHPy4m0GWv7qSO74aOfnIiThunj4FoK0bB/LdImqQgQnkOM4dtH9cVVpF6cF2IcCU+TTN4UouZYbyWeObjPiuJRhEIM8Wg4MIGOwYFD0HzKJnlQQ2NLQMgQHfNzpLzklacNsoeZJU0AHdAjPMkrgpIUCFe/HsVxbHXYFhoz5y0cG4uE5AbeMd+OaxA+5PS6lOUpr/bHtiVTllsPL21JBWSDJ76qX2k+9tYkpRWMumF6IdgHqlyJeLVEysK63Wq8jjf2iZYmEM8tnslbaDLIVRVQBXSd4iNAyzd0K4orAm9xblS6k1LlOS/HjlOyXXrKkbJcZk7EHNHN8oLxvfDPz9bJv2NKtr/gaSaEqbd/cDyWb9/niYPzC365ipul+1kIWkXxKBgYdlbWZ2DmIr72ByW5oRDPVBSPYJRjWfaO/9aCyETpLWT9szOH45tH9kW34jgm9u+I2ev24IShnfHyfDtTl7eW0xOXT0CPklyc/NDHANR4tf6d8rGlvBb1KQt/+eY4PPH5etvlVBQujoZ9zIvF7X6sqE0iGmGKon1Y9yKs3FGlMMXC7Y0RN8tuxXF0LoxhV2W94hZXmp8jXaTH9C7B1ortGBogZFNX3/6d8jGsWxE+u+UkrN1lM/SUAS+MRXDeuF54ef5mX7FegRtOGoTi3Ah+MHUIahNp7K1JZCwBoEMsEsapI223oGHdivDJTycrjPbBhCmHdcWUw2wBf0DnfF/s7bBuRRjWzZ5LlLUJSTfLzMwTZWGyMcx888g+eGbWRmXeB7lMD+5SgOXbKzGsWxH+cel4lNcmAw1FFJTFOZTQN6D+ZWuDZtgU3kVB4nY2BIkweh0/uDO+3FiO88b1Cjz3vzcch7KqhJLcLKjwuEHr4dSR3fDJqt0YEJCgLJt5L5aihuwrN5w0GKX5MZw1tifCIYY/XDRWrpEGjYdR5poAqrBRy2aHvKiaKp8oH2XV9YhHQxjQuUAqc4m0Ja2e3sLVsUhIxvv06ZiHPdUJ6aqoZLikil19CiFmF3H8dLUdnJ5Mc+n6mUhZsn1e97h9dUl0K4orNaqCICb0vlr3+YQnRF0yjXeWuKm3bzxpkC8xB4Voj2hjJmau2vOOVGUuu41h8rDOSo0c4dYGuEUlAVdRndi/I95YtA35OWHpQiMYUCpABQWSA5nrZYmMToO6FGBQlwKsdtxfQ8z9Xc+SXNkvVCinAp5IBZ6yOLoWxbBoS7DlUxQH5twOmr7/nZXZMXPOObk5YRw5oBQzfnxiYFHxloZgh7zxidFwSCrvT10xEXXJtGJM8FoavXF9nQpy5Figysrpo7rjdCc+QTJzkbA2q97oXiVYs6saZVUJHNbdbsvOynq8fO1IXDi+NzYRlnxkj2LMWLELIcZkTEpBLIJh3Qqxq7IeeTlhmf59dK9ifLhiFwA7IPy8cb0kE+kFNQJQQ4NwnTt9VHdcdnRfrNxRBcYY7j1vFK48LjiOcEjXQvzqbNdlp7GKnA7NcY32gDdvmiQ9MhpCJOuYOfLZ+SNTEhHBBlOX/SAG7akrJ2LVjiocO0hVzH59zqh2X2j3UILCzDldHbRvZcN0HjmgFAs3V+DM0d3xg6mDM/6ma1EcXYvi4JzjP9cdizG9itsMm2rg4pKJfXDW2J6B5Q2ykRNEYpNMMhFgj8crjnM9ms4a23D9R4NgGGWuCaAbIHU9GdC5AEu2Vmh/s7uqHiW5OT7Ls2DWvIpKPOqm7e9baheg9iZhAFz3RtmeaFhJkpBIU2aOK+wWzRy5ckcVJvTrkJUyJxgdnRvmnpqEjNH75pF98MNpQ/Dr6csA2KybqDEj4I1n82Y+K8+Qgj0/RpUZv9BJCyUL9OmYr6QV75Qfw9pd1Y5bq9/63TE/B09feSRKC3IwqEsBvjG+N759tF0cmApQmQxWOgvk1MO6YGL/jjhtpD5bVG40LDNFdi1ya4RRZkYEnI/rUyKDxstrEjiibwe8t2xnYIkDwfjUJFL4xoQ+uP+dlbjmhIHacykEayt+r0tP3VqIR8P42ZnDfUH/3nPi0bCiXAdtTqJODWUvvayxgHCNjEdDvpg5wI4TefXLLThuUCdM7N8RhbEIzj28J+LRMCb27+grzA7AiZmzPxfEoujfKR+frNqNHiW50po+pFuhVOaK4lFM1aQ4//mZw1GbTDuJLBi+4clgFgmHMOu2KSjJswswj3ey3UXDIV/JDIPmQSwSRraeY8L7Nd5gzJxqWFpy1ykZ2bwrj+uPjXtqcP64XrjkH7PsewQojF0K49okJpcc2XYyABo0DF0ClExulg3hp6cMxRmjumNwFrHQAqLkhUHbBGMsY526bJg5MaSMqt6yMMpcE3DyiG7yM3XN61mSi3kb9gKAtJ4L7K5MoG9pnoy7EalahULkTRoSi4Sk9bZvBou1iAcb0rVAFpv1ZrwT9dUSaUtx58yPRZCXE8a2ijrcetowLNu2D3OwF+eO64lX5m8BoC9GLTb9hMY1TyhPvzt/tKyDJhb7aDiEkryowozQBC+APwXxLo/yFw0z6UpHE9Hosjn2KM7FWo/LZ++OuZKZ+P6JA6VLaF407Evlbz9rWHEV+u35o+VnKkBlsjIeOaAjnp+zSTnWuTCGq4/3K1CCKerVIQ9fG90DL8zZhFNGdMP8jeW++wzvUYTHLhuPvqX5km2c2L8jxvQqAQCsdNKIeyHiXSYN7ozOhTGlDkwmCNZwUJbpj1saVxIrXyawLFzSnrpiIsbc9Q5+dPJQfP+Z+QCCU6wLBTs/FtG6thbGI/joJyeic2EMeTkRLLrrFE973M8idi3klDHoWZKLod0KsHBz2rlWVLLYfTu6ynSep3j79BsnIWVZGO2MBQBY+St/GmnAz4YbtB0Ig0xQEWoBhZlj0GZNpSiMR/HghWOVGqMN/cagfYN6aogsloF15rKQxCNOcWaDQwfZlJ8QBoJsDAIGzQezejcB4RBD/075WLfbZnTOPbwn3l22Q1GiiuJRxT+8NplGUW5UBgl73RzLPUpNLBKWgmYm9yNxjwGdbGWuOpH2MUEiQLkumVaYqoJYBP+94TjUJdPoUZKL3721HIBaCLpLYcynzFFmgypnVPGjhWKFcnHayG5YsnUfZq4tU5QyCmEBHtSlANsr6nz37lwQk26q0UgIw7oVYvn2StmmXh1yZea/7iVxnzInXDOFAvPz1+zslbk5/ngnAIExQ15kWrhOHt4Np43cga+N6SEVg6DsdEIZ6NcpD0cPLMWCX5yMglgEf/9krZJNToD6mH/woxPQs0Ou7I+tnkyYAsN7FOHT/5vcqDpuAHDOuJ54feFWnDi0cYku2iKE8SMWDk6971Vyg+LRBBvXuSCmZeZi0XDGOBo6dsSMYIwhFgnLOmsT+tkM3iUT++C3zjw9nGQUzPOwMDpWzbg1tT+ImLbGxMw1RojKVA/T4OCCwt42IHAbQdxAh8bEzJnElC0Lk82yifiaU6ujQ14UD35jLBbdeYqMWwLU+CuBktwojhvcGUO6FshabQIVHnfCWDSEAZ3znXuQrI0e1k24LdJMUh09LJVwVfRmdexSFEPH/BxZd0oUnKRsGK1J9eCFY/DmTZNQQBiIbsSqT0sFUEVhaLdCfHbLSbj9jMNk+uKgmjR9S/Pw63NG4ZnvHiljhigocxcNMbx0ragnZg/lI0idpqFd/QKtN7ZOuL2mLK5l5jIlVqEIMTsT001T3Bpbj102HmeO7o78WASPfOsITCWKVxDLIyzlxzmZAYXLw+zbpuKla47J2IYBnQsQi4Ql0zIqQ/rrXh3yMrpT6DB5aBesv/eMBlOHtwc8892jcN/5o2Xx62zgrYEoIJiy4ryolpmLN2DNpIKTYOa8slRpQQx/uOhwFOdF8fjlEzB5aGclo2BzZww0aBsQLvINpd4PKV4C2V9fCPgNxeQZHFxwmbmgmLmWbI1Be0F+rGHjtoiZM8bDloVh5pqIH0wZjMuP6aekUC9Valn5hcT+nfNREIvgnR+egNnr9uAvM9YA0MeS5eWE8cuzRmJYtyJMJkkN+pTmKUW+RRZJKth505cLpmZnpcrUHNGng/K3UAgjYYZRPYuxaEsFDu9Tgk9X7wZjwLkkW1U0bNfO6lwYw3LHnW9s7xKs2GF/9lp8haJ34tDOeG72Rhw1sFS6cgoUxiKIhkMyFqMwHgUq6jCgUz52Vtajqj6lKnOREApiEakg/uGisZh6WFe8tsCuOXbyiK5KhkkA6OiJrRNs157qhFYQ97p9BiHEGP5z3bHKMZrBDrBd+kQ9qd4d9Gzrpcf0Q1FuFBd7YpsaW2B29m1TAgs+G9j9mm2dsPF9O2DNriqFsaYQ7saxSCjQVTcTaNcKF9bDugXHq00e2gWTMxRgNzh4INb6hgwojAy7xrIqn/x0ctYeCAYHBxrKOGiYOQMdgvZAimyzWRo0L4w5rokIhZivFhaN29KxSj89ZZj8XEi+p3EtIslCaX4MxblRXHviQEXJ6EfctQrjEcmi9SfJKDrk69kGr1vjAE/s06iexbj33FG46+sj8OxVR+LLn02TcRReX2nhrkkLek4e5rrfddUEzAPA8UM6Y9ndp+KiCW7wvHBPLfG0W7CbPTvk4gTHta+IKMmVdSqbedbYnsiPRXDSsC4ojEUwoZ+/ZlWJJ7Nk/07uO9C5yHXIkrnJduEa4xST1cX4ATYT+N1J+1+bqUtRXGtQMGg8Xvje0Zh7x7RA5fh0J4nNqJ7FemauAWWOWjBPHtEN02+chLMyZCI0OHQg3Oi7BjD5Ak11swRsN/6grKUG7R/Cw4dCJNYxbpYGjUE2RmVxhhlDLQujzDUjaCIBXVFVKuhRt5kzRrsJVUTx4yBhn6aCH9TFVUSocuhNgOKFCIT2KiqMMVw0sQ9KC2IojEfRIT9Hut8ECaT3nOOmJ6fFsRtyX6Mufsc5Ka+9sX5CcSvOjcpzaGH0UT1LtNd+9NtHYO7Ppirv+0fThqBHcdy3GA0m75Ce30MWBs9uQQqq6ebFveeOxg+nDsGR/YOzLhq0LYRCDOEQC0yWcsbo7lh1z2kY0LlAibsUQ6IxaeUBO97NuKgYAHbiLCDYOCbgTYBiYCAw/cZJWHTnycoxYYLdnwQoBgaZYMZQy8K4WTYjqGLwtTE9UFGbxLGDSvHDfy/0CYJ9Oubhqkn98e2j+mEfYZhEjJYu1T6gKnM0VXpeTgQPXDAGRblRrTInig6Lcytqk1klwBBKpzc19n3nj0YibaF/p3xccEQvnDC0s0xCkk0sFlU+xTN72yNcHLsVxXH6yO546N2VuPr4gXj88okZrx0Jh+TAHtu7BAs2leOGKYNxA4lnEwiFGP50yeEozo0qgvibPzjel3wlE7K1QnXIz8FNU/3tMGjfEIHhikGgxE7G01DQ+P5YMJ+96khU1WU/Tg3aF75/4kA88O7KBhOVqDFzRooycCFKslAIj5r9qTNnYJAJZgy1LIwy14zIJ0pMQSyM+y8Ygx1OTFsvT/KEUIjh9jOGAwA273WLBnPH/8GbxESAZjSk8V/5sTDOO8KOaRMZ0Cb274jZ6/YAAAZ0ypfKXGHcVuaC3DEphGuZ18WMxhvdd8EYAIBlcdx++mGYcljD8TxU4RNKW77nHuKeHfJzUJwXxezbpzZ4XS+evepIX/kDL84cbbu00cQvxbnRjMW+vTDr1qGBBy8co2XdBYSrbkleFBdP7IP73l6hMNY6ZMvq6nDMwE4Nn2TQbhFkhPLCrD8GjUGvDrnoXBjDHWcepv3esCoGBu0LDbpZMsZ6M8Y+ZIwtY4wtYYzd5BzvyBh7lzG2yvm3A/nNrYyx1YyxFYyxU8jxIxhji5zvHmYHseqe46Q871IYw4+mDcGTVwSzSZSR2rDHVuxGezIRXuYUqh7arQiTBnfCc1cdhY5EGaNum9FwCHPvmIo/Xny4PCZcGKcM6yKtctkwaEIQbSjuB7AV1KuOH+CLxdNBMHM/mjZEZkgq9MQZdndcHYMyX2aDvJyIkmUzE3Qxc9nC+IcfGjh3XC+MzJAlVIyDDnk5+P6JAzHrtikNjj8zdAz2F2b9MWgM4tEw5tw+FScN66r9vrEJtwwMDFoX2TBzKQA/4pzPZ4wVApjHGHsXwHcAvM85v5cxdguAWwD8H2NsOICLAIwA0APAe4yxIZzzNIBHAFwN4AsA0wGcCuDN5n6otgDhVskYa9CyShmpe84ehTcWbcXoXqrAeNdZI3HXWSMBAP+68kgAwJKtFfJ7r17cqSCGVNpCfk4YIcZw09TB2FlZh5+dORxLt+3DL15fImu6ZcJxgzrhogm9lYyazYFIOCTreP17zkYA8NXi+s4x/VEYj0rG8UAjHBYpdRv/WyNMGQBuKvmSvCgYY1kV5DZjx2B/YcaQQXPC6HIGFJce3ddnbDdoW2iwdzjn2wBscz5XMsaWAegJ4CwAJzqnPQlgBoD/c44/zzmvB7COMbYawETG2HoARZzzmQDAGHsKwNk4yJS53GgYtcm0TDKSDRhj6JAXxdfH9MDRA0tx9MDskmOM69sBpfk52qyNgK0wzfvZNMmqvfJ9O3V+v075OH1U96zuEQ2HcO95o7M6t6k4d1wv1KcsJcMlYCvEF0/sE/Cr5odg5poiGJnNzwBwi8F7y35kghHEDfYXZv0xaE4cxE5TBk3ALx0ioTEQIUMGLYNGqdqMsX4ADgcwC0BXR9ED53wbY0xQNz1hM28Cm51jSeez97juPlfDZvDQp0/LCfPNgdtOH4afvbZEiZ/LBl/+/OSGT/JgXJ8OmPezaRnPycY9srURDYdw6dH9WrsZUqhuyjZmNj8DABjVqxjPfvdITOyvN7DoYARxg/2FWX8MmhPGwGTQVJih0zrIujQBY6wAwMsAfsA535fpVM0xnuG4/yDnj3LOx3POx3fu3Fl3SpvFt4/uh/X3ntEulCgDFTlO1sHbTtcHhWfC/iSxMDi4cMygTo2qE2gEcQMDg7YEs50ZGLQvZEUfMcaisBW5ZzjnrziHdzDGujusXHcAO53jmwH0Jj/vBWCrc7yX5riBQZtAKMRkHF+jf2s2P4MmwowdAwODtgTDzBkYtC9kk82SAXgMwDLO+YPkq9cBXOZ8vgzAa+T4RYyxGGOsP4DBAGY7LpmVjLGjnGteSn5jYNCuYTY/g6bCZI4zMDBoSzDbmcH+woTMtSyyYeaOBfBtAIsYYwucY7cBuBfAC4yxKwFsBHABAHDOlzDGXgCwFHYmzOucTJYAcC2AJwDkwk58clAlPzE4dGE2P4OmQsZqmjFkYGDQBmCMkwYG7QvZZLP8FME5IaYE/OYeAPdojs8F0Pi0OAYGbRxm8zNoKgwxZ2Bg0JZg9jMDg/aF7KP0DQwMAmE2P4OmYn+yqBoYGBg0N4yByWB/YUSiloVR5gwMmgFm8zNoKowhwMDAoC3BZNg12F+YmLmWhVHmDAyaAWbzM2gqxNAxY8jAwKAtwBgnDZoKZnxMWgVGmTMwMDBoRRhmzsDAoC3BrEkGBu0LRpkzMDAwaEWEzCpsYGDQhmCUOQOD9gUjRhgYGBi0IozgZGBg0JZgliSD/YUJmWtZGGXOwMDAoBVhslkaGBi0JYRM0JxBE2EMAa0Do8wZGBgYtCKM3GRgYNCWYNYkg6bCZLFsHRhlzsDAwKAVIZk5I0AZGBi0ARjXbwOD9gWjzBkYGBi0IozgZGBg0JZgliSDpsKMndaBUeYMDAwMWhGyzpyJmjMwMGgDMAYmA4P2BaPMGRgYGLQiTLIBAwODtgSjzBkYtC8YZc7AwMCgFWF0OQMDg7YEsyYZ7C9MIpSWhVHmDAwMDFoRYWMFNzAwaENgZk0yaCLMyGkdGGXOwMDAoBVhBCcDA4O2BMPMGRi0LxhlzsDAwKAVIQUnI0AZGBi0AZiYOQOD9gWjzBkYGBi0IozgZGBg0JZg1iQDg/YFo8wZGBgYtCJk0fBWboeBgYEBYGqFGRi0NxhlzsDAwKAVwcwqbGBg0IZgmDkDg/aFFhcjGGOnMsZWMMZWM8Zuaen7GxgYGLQlSGbOyE8GBgZtACYBioFB+0KLKnOMsTCAPwM4DcBwABczxoa3ZBsMDAwM2hKM4GRgYNCWYJg5g/0Fhyk015JoaWZuIoDVnPO1nPMEgOcBnNXCbTAwMDBoM2AmWs7AwKANwehyBk2GGTytgpZW5noC2ET+3uwcMzAwMDgkIfa+Dnk5rdsQAwODQxqF8QgAU/vSoOnIywkDAHKj4VZuyaGFSAvfT7dC+LhYxtjVAK4GgD59+hzoNhkYNBkvXXM09tYkW7sZBu0Y8WgYvzp7JE4Y0rm1m2LQjvHUFRMRMT67BvuB168/DrPWlrV2MwzaMS4/th9SaQvfObZfazflkALjvOX8WhljRwO4k3N+ivP3rQDAOf9N0G/Gjx/P586d20ItNDAwMDAwMDAwMDAwaFtgjM3jnI/3Hm9pN8s5AAYzxvozxnIAXATg9RZug4GBgYGBgYGBgYGBQbtHi7pZcs5TjLHrAbwNIAzgn5zzJS3ZBgMDAwMDAwMDAwMDg4MBLR0zB875dADTW/q+BgYGBgYGBgYGBgYGBxNaNGauKWCM7QKwobXboUEnALtbuxEGAExftDWY/mg7MH3RtmD6o+3A9EXbgumPtgPTF20LtD/6cs592dLavDLXVsEYm6sLQjRoeZi+aFsw/dF2YPqibcH0R9uB6Yu2BdMfbQemL9oWsumPlk6AYmBgYGBgYGBgYGBgYNAMMMqcgYGBgYGBgYGBgYFBO4RR5pqOR1u7AQYSpi/aFkx/tB2YvmhbMP3RdmD6om3B9EfbgemLtoUG+8PEzBkYGBgYGBgYGBgYGLRDGGbOwMDAwMDAwMDAwMCgHeKgUOYYY70ZYx8yxpYxxpYwxm5yjndkjL3LGFvl/NvBOV7qnF/FGPuT51r3MMY2McaqGrjnEYyxRYyx1YyxhxljzDl+PGNsPmMsxRg7P8Pvb2aMLWWMfcUYe58x1pd891vG2GLn/2/sz7tpDbRSf2jPY4zFGGP/dvppFmOsX8DvA89jjPVhjL3jPM/SoGu0RTRXXzDG8hhjbzDGljvXuTfDPbVzw/nuQucdLmGMPRvwe+0cYoyNZYzNdH77lZkb7C3G2ELnOn9ljIUD7hm0VgWuQZ7fB/XHZMbYAvJ/HWPs7GZ6VQccrdQX+7tOZdo30qQvXt/P19PiaM7+INd8nTG2OMM9g+bGQ+RdrmSMlQf8Xttv7X2taua5MYMxtoK8zy4B9wzqi2uc4wsYY58yxoYH/D7THm5kKvda2fZH0FqVrYyb8TzGWBFjbEvQ3DVoJDjn7f5/AN0BjHM+FwJYCWA4gN8BuMU5fguA3zqf8wEcB+AaAH/yXOso53pVDdxzNoCjATAAbwI4zTneD8BoAE8BOD/D7ycDyHM+Xwvg387nMwC8C7ugez6AuQCKWvsdt4P+0J4H4PsA/up8vki8Z83vA88DMAPANOdzgei39vB/c/UFgDwAk53POQA+EWNec8+guTEYwJcAOjh/dwn4vXYOARgCYLDzuQeAbQBKWvsdt0Z/ON8VOf8yAC8DuKiR/aFdg7LtD885HQHsORTnRiP7Yn/XqcA+816zvf3fnP3hfH8ugGcBLM5wT+3c8JxzA4B/Bvxe229o52tVM8+NGQDGZ3HPoHWqiJzzdQBvNbIvjEzVtP4IWqv6ITsZN+N5AP7gzE/f3DX/N/7/g4KZ45xv45zPdz5XAlgGoCeAswA86Zz2JICznXOqOeefAqjTXOsLzvm2TPdjjHWHvRjM5PaofIpcez3n/CsAVgNt/pBzXuP8+QWAXs7n4QA+4pynOOfVABYCODXTtdoaWro/GjiP3vMlAFOExS+b8xwrYIRz/q5znyrSb20ezdUXnPMazvmHzucEgPlwx6xEprkB4CoAf+ac73WuszOgzdo5xDlfyTlf5XzeCmAnAF/xzLaMZp4b+5yPEdgKti8AuoG1KmgN8t4nmzXtfABvHopzw/muwb5wztuvdSrbPmuPaM7+YIwVALgZwK+C7tfAWkVxMYDnAi6j7bf2vlY1Z19kgwbWqX3k1HwEzC0EzyEjUzXtntq1qhEybuB5jLEjAHQF8E5T22eg4qBQ5igcav1wALMAdBWD0flXSyc3AT0BbCZ/b3aONRVXwrZEAfZCcxqz3do6wbbE9t6Pa7cqWqg/MqEngE3OPVMAKgCUNuK8IQDKGWOvMMa+ZIzdxwJcqNo6mqsvGGMlAL4G4H3N15nmxhAAQxhjnzHGvmCMNXlDZYxNhC00r2nqNVobzdEfjLG3YQuKlbAFGC+yXavoGtQUXIRggbfNo4X6IhOyXacovH0WZ4zNdebW2Y28f5tCM/TH3QAeAJDJuNDg3GC2G2t/AB9kuEbGfmvva1Uz7RuPOy59PwswpmbsC8bYdYyxNbCZqBsD7hHUF0am8qOh/jhgYIyFYM/Nn7TkfQ92HFTKnGONexnADzzWnGa/leZYk9KCMsa+BWA8gPsAgHP+DoDpAD6HLRzNBJBqWjNbFy3YHxmboTmm66ug8yIAJgH4MYAJAAYA+E5zNa6l0Fx9wRiLwB6XD3PO1+pO0RwT7zsC29XyRNjW7n84imFj29AdwL8AXM45z2gdbKtorv7gnJ8C2xUmBuAk3a10P/O0RVmDGgunP0YBeLspv29ttGBfZGyG7pKBJ+v7rA/nfDyASwD8njE2sJFtaBPY3/5gjI0FMIhz/mpDp2qOed/5RQBe4pynm3KN9r5WNdPc+CbnfBTsfXQSgG/rbqU5Jt8j5/zPnPOBAP4PwB1BzdVdw8hUPmTTHwcS3wcwnXO+qYXve1DjoFHmGGNR2IP8Gc75K87hHc5iKhZVrVtXFtcOk2DRX8K2GlH3ll4AtjZwjXvENcixqQBuB/B1znm9OM45v4dzPpZzPg32ArWqKe1uTbRwf2TCZjhWOEcRKQawR9Mf2vOc419yztc61r7/ABjXlHa3Fpq5Lx4FsIpz/nvnt42ZG5sBvMY5T3LO1wFYAWCwbm5keJYiAG8AuINz/kWWbW5TaO65wTmvA/A6gLMau1bp1qDG9IeDCwG8yjlPZtvmtoIW7otMyHadyrRvbHX+XQs7LubwbNvdVtBM/XE0gCMYY+sBfArbG2BGE/dxhXFuxL7R7teq5pobnPMtzr+VsGOkJu6HTPU8HFfCxvSFkalcZNkfTWlftvvG0QCud+bn/QAuZRkSqhlkh4NCmXNo4scALOOcP0i+eh3AZc7nywC81pTrc87TzkIwlnP+c4fOrmSMHeXc+9KGrs05v11cw2nz4QD+BntDlhPQmVSlzufRsANI25VfcUv3RwOn03ueD+ADbkPpj6DzAMwB0IExJuIdTgKwtCntbg00Z18wxn4Fe4P8gTjWyLnxH9guLmC2u8sQAGs1fRF0/xwArwJ4inP+YkPtbYtorv5gjBWQTTwC4HQAyxvTH0FrULb9QZAppqjNoqX7ooHmZLVOZdg3OjDGYs7nTgCORTtap4Dm6w/O+SOc8x6c836wk0Cs5Jyf2Nh9nDE2FEAH2EyOuHZW+0Z7X6uacW5EnPEolJEzYSekacw6NZhc8gw4ilgj+sLIVO51suqPprQx232Dc/5NznkfZ37+GPYcuaUp9zQg4G0gC8v+/g97weYAvgKwwPn/dNj+0u/DnvzvA+hIfrMettWmCrZFZ7hz/HfO35bz750B9xwPYDFsP/g/AbIA+wTnd9UAygAsCfj9ewB2kPa+7hyPw96El8IOcB/b2u+3nfSH9jznfb4IYDXsbFkDAn4feB6Aac6zLALwBICc1n7HLd0XsC2lHHbgtbjOdxs5NxiAB52xvQjBGf+0cwjAtwAkyf0XtLf50Yz90RW2oeErAEsA/BF2op7G9Id2Dcq2P5zv+gHYAiDU2u+2nfTF/q5TQfvGMc6cWuj8e2Vrv9/W6g/PNfshczZL7dxwvrsTwL0NtFnbb2jna1Uzzo18APPI3PgDgHBj+sL5zRKnDR8CGNHIvjAyVdP6I2itylbGbfA82CErJptlM/wvJouBgYGBgYGBgYGBgYFBO8JB4WZpYGBgYGBgYGBgYGBwqMEocwYGBgYGBgYGBgYGBu0QRpkzMDAwMDAwMDAwMDBohzDKnIGBgYGBgYGBgYGBQTuEUeYMDAwMDAwMDAwMDAzaIYwyZ2BgYGBgYGBgYGBg0A5hlDkDAwMDAwMDAwMDA4N2CKPMGRgYGBgYGBgYGBgYtEP8PxxFM9AwLUPCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = df_sales_total_by_store.iloc[0]\n",
    "print(series.name)\n",
    "print('Min Dates:' + str(series[series == series.min()].index.to_list()))\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series.plot()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "A_B8vHefOfUw"
   },
   "source": [
    "## 2. Pre-processing\n",
    "\n",
    "Before we build a forecasting model, let's check some properties of our time series."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fVUA0chBOfUw"
   },
   "source": [
    "### Is the series non-stationary?\n",
    "\n",
    "Let's check."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "wrKw7EoYOfUw",
    "outputId": "2feec086-ace4-4f21-87f2-8f5ec5ebb83f"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -2.035408\n",
      "p-value: 0.271267\n",
      "Critical Values:\n",
      "\t1%: -3.434\n",
      "\t5%: -2.863\n",
      "\t10%: -2.568\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "result = adfuller(series)\n",
    "\n",
    "print('ADF Statistic: %f' % result[0])\n",
    "print('p-value: %f' % result[1])\n",
    "print('Critical Values:')\n",
    "\n",
    "for key, value in result[4].items():\n",
    "    print('\\t%s: %.3f' % (key, value))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VQUEmUdpOfUx"
   },
   "source": [
    "### Does differencing make the series stationary?\n",
    "\n",
    "Let's check."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "7i368QGsOfUx",
    "outputId": "49bd4764-d235-40c9-b0e9-b42e82e60473"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -20.626012\n",
      "p-value: 0.000000\n",
      "Critical Values:\n",
      "\t1%: -3.434\n",
      "\t5%: -2.863\n",
      "\t10%: -2.568\n"
     ]
    }
   ],
   "source": [
    "def difference(dataset, interval = 1):\n",
    "    diff = list()\n",
    "    for i in range(interval, len(dataset)):\n",
    "        value = dataset[i] - dataset[i - interval]\n",
    "        diff.append(value)\n",
    "    return np.array(diff)\n",
    " \n",
    "def inverse_difference(history, yhat, interval=1):\n",
    "    return yhat + history[-interval]\n",
    "\n",
    "series_d1 = difference(series)\n",
    "result = adfuller(series_d1)\n",
    "\n",
    "print('ADF Statistic: %f' % result[0])\n",
    "print('p-value: %f' % result[1])\n",
    "print('Critical Values:')\n",
    "\n",
    "for key, value in result[4].items():\n",
    "    print('\\t%s: %.3f' % (key, value))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "rjYYNGjTOfUx"
   },
   "source": [
    "### Is the series seasonal?\n",
    "\n",
    "Let's check."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 655
    },
    "id": "8Kbh-PuyOfUy",
    "outputId": "95d593d5-36e9-48f7-c353-7d8c49fb3414"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "plot_acf(series)\n",
    "plt.show()\n",
    "\n",
    "plot_acf(series, lags = 730, use_vlines = True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "rb6KXvpEOfUy"
   },
   "source": [
    "### Can we remove the seasonality?\n",
    "\n",
    "Let's check."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 655
    },
    "id": "O-ivBmF4OfUy",
    "outputId": "13cc147b-3f17-40d8-fce8-de8b7f9203d8"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series_d7 = difference(series, 7)\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "plot_acf(series_d7)\n",
    "plt.show()\n",
    "\n",
    "plot_acf(series_d7, lags = 730, use_vlines = True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 655
    },
    "id": "elfoUhemOfUy",
    "outputId": "b7bf1b77-b0dd-4303-c956-cd90fabf4b83"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series_d7_d30 = difference(series_d7, 30)\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "plot_acf(series_d7_d30)\n",
    "plt.show()\n",
    "\n",
    "plot_acf(series_d7_d30, lags = 730, use_vlines = True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "0Fb145YaOfUz",
    "outputId": "c002effd-474b-4805-aff8-75026daf8b75"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -8.405429\n",
      "p-value: 0.000000\n",
      "Critical Values:\n",
      "\t1%: -3.434\n",
      "\t5%: -2.863\n",
      "\t10%: -2.568\n"
     ]
    }
   ],
   "source": [
    "result = adfuller(series_d7_d30)\n",
    "\n",
    "print('ADF Statistic: %f' % result[0])\n",
    "print('p-value: %f' % result[1])\n",
    "print('Critical Values:')\n",
    "\n",
    "for key, value in result[4].items():\n",
    "    print('\\t%s: %.3f' % (key, value))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 320
    },
    "id": "k5uqKkxBOfUz",
    "outputId": "669a8f7f-c6d6-4eb2-a136-89b398059d12"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series_d7_d30 = pd.Series(series_d7_d30)\n",
    "series_d7_d30.index = date_list[37:]\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series_d7_d30.plot(label = 'Differenced Series')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jCnRtOEVOfU0"
   },
   "source": [
    "### What now?\n",
    "\n",
    "At this point we have two options:\n",
    "\n",
    "- Model the seasonally differenced series, then reverse the differencing after making predictions.\n",
    "\n",
    "- Model the original series directly.\n",
    "\n",
    "While (vanilla) ARIMA requires a non-stationary and non-seasonal time series, these properties are not necessary for most non-parametric ML models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "38Rd-9UeOfU0"
   },
   "source": [
    "## 3. One-Step Prediction\n",
    "\n",
    "Let's build a model for making one-step forecasts.\n",
    "\n",
    "To do this, we first need to transform the time series data into a supervised learning dataset.\n",
    "\n",
    "In other words, we need to create a new dataset consisting of $X$ and $Y$ variables, where $X$ refers to the features and $Y$ refers to the target.\n",
    "\n",
    "### How far do we lookback?\n",
    "\n",
    "To create the new $(X,Y)$ dataset, we first need to decide what the $X$ features are. \n",
    "\n",
    "For the moment, let's ignore any exogenous variables. In this case, what determines the $X$s is how far we <i>lookback</i>. In general, we can treat the lookback as a hyperparameter, which we will call `window_size`.\n",
    "\n",
    "<i>Advanced note:</i> Technically, we could build an entire methodology for feature engineering $X$.\n",
    "\n",
    "### Test Set\n",
    "\n",
    "To test our model we will use the last 28 days of the series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "id": "Xwfa6b9IOfU0"
   },
   "outputs": [],
   "source": [
    "### CREATE X,Y ####\n",
    "def create_xy(series, window_size, prediction_horizon, shuffle = False):\n",
    "    x = []\n",
    "    y = []\n",
    "    for i in range(0, len(series)):\n",
    "        if len(series[(i + window_size):(i + window_size + prediction_horizon)]) < prediction_horizon:\n",
    "            break\n",
    "        x.append(series[i:(i + window_size)])\n",
    "        y.append(series[(i + window_size):(i + window_size + prediction_horizon)])\n",
    "    x = np.array(x)\n",
    "    y = np.array(y)\n",
    "    return x,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "bkCFL3l3OfU0",
    "outputId": "55986e55-7961-441e-aafb-ba96c707fc07"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1520, 365)\n",
      "(1520,)\n",
      "(28, 365)\n",
      "(28,)\n"
     ]
    }
   ],
   "source": [
    "### HYPERPARAMETERS ###\n",
    "window_size = 365\n",
    "prediction_horizon = 1\n",
    "\n",
    "### TRAIN VAL SPLIT ### (include shuffling later)\n",
    "test_size = 28\n",
    "split_time = len(series) - test_size\n",
    "\n",
    "train_series = series[:split_time]\n",
    "test_series = series[split_time - window_size:]\n",
    "\n",
    "train_x, train_y = create_xy(train_series, window_size, prediction_horizon)\n",
    "test_x, test_y = create_xy(test_series, window_size, prediction_horizon)\n",
    "\n",
    "train_y = train_y.flatten()\n",
    "test_y = test_y.flatten()\n",
    "\n",
    "print(train_x.shape)\n",
    "print(train_y.shape)\n",
    "print(test_x.shape)\n",
    "print(test_y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 320
    },
    "id": "gHANelCHOfU1",
    "outputId": "78ca90b6-3427-4b2e-8b35-da0a942c9145"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series[-test_size:].plot(label = 'CA_1 Test Series')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "4iHnJwMcOfU1"
   },
   "source": [
    "###  LightGBM\n",
    "\n",
    "Now we can build a LightGBM model to forecast our time series.\n",
    "\n",
    "Gradient boosting is an ensemble method that combines multiple weak models to produce a single strong prediction model. The method involves constructing the model (called a <i>gradient boosting machine</i>) in a serial stage-wise manner by sequentially optimizing a differentiable loss function at each stage. Much like other boosting algorithms, the residual errors are passed to the next weak learner and trained.\n",
    "\n",
    "For this work, we use LightGBM, a gradient boosting framework designed for speed and efficiency. Specifically, the framework uses tree-based learning algorithms.\n",
    "\n",
    "To tune the model's hyperparameters, we use a combination of grid search and repeated k-fold cross validation, with some manual tuning. For more details, see the Hyperparameter Tuning notebook."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bKh_Gu6-OfU2"
   },
   "source": [
    "Now we train the model on the full dataset and test it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "9pNItUGaOfU2",
    "outputId": "a48a88e4-41e0-4b2f-deb4-fc431a3f96b6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LGBMRegressor(boosting_type='dart', first_metric_only=True, max_depth=4,\n",
       "              n_estimators=2000, num_leaves=16)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import lightgbm as lgb\n",
    "\n",
    "params = {\n",
    "    'n_estimators': 2000,\n",
    "    'max_depth': 4,\n",
    "    'num_leaves': 2**4,\n",
    "    'learning_rate': 0.1,\n",
    "    'boosting_type': 'dart'\n",
    "}\n",
    "\n",
    "model = lgb.LGBMRegressor(first_metric_only = True, **params)\n",
    "\n",
    "model.fit(train_x, train_y,\n",
    "          eval_metric = 'l1', \n",
    "          eval_set = [(test_x, test_y)],\n",
    "          #early_stopping_rounds = 10,\n",
    "          verbose = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 405
    },
    "id": "nck0f2RyOfU5",
    "outputId": "e8f8e75d-6e4f-4481-f059-f40c67695315"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     Naive MAE: 698.0000\n",
      "  s7-Naive MAE: 372.2857\n",
      " s30-Naive MAE: 330.8214\n",
      "s365-Naive MAE: 247.9286\n",
      "  LightGBM MAE: 200.5037\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast = model.predict(test_x)\n",
    "s1_naive = series[-29:-1].to_numpy()\n",
    "s7_naive = series[-35:-7].to_numpy()\n",
    "s30_naive = series[-56:-28].to_numpy()\n",
    "s365_naive = series[-364:-336].to_numpy()\n",
    "\n",
    "print('     Naive MAE: %.4f' % (np.mean(np.abs(s1_naive - test_y))))\n",
    "print('  s7-Naive MAE: %.4f' % (np.mean(np.abs(s7_naive - test_y))))\n",
    "print(' s30-Naive MAE: %.4f' % (np.mean(np.abs(s30_naive - test_y))))\n",
    "print('s365-Naive MAE: %.4f' % (np.mean(np.abs(s365_naive - test_y))))\n",
    "print('  LightGBM MAE: %.4f' % (np.mean(np.abs(forecast - test_y))))\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series[-test_size:].plot(label = 'True')\n",
    "plt.plot(forecast, label = 'Forecast')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0JM5O94QS6wY"
   },
   "source": [
    "### Tuning Window Size\n",
    "How does our metric change as we extend the window size?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 422
    },
    "id": "UYLLRLraTFRR",
    "outputId": "1db6b4fc-371f-489e-8e01-1ec487027b10"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  7 --- MAE: -333.105 (21.291)\n",
      " 30 --- MAE: -307.008 (21.648)\n",
      "180 --- MAE: -291.474 (22.537)\n",
      "365 --- MAE: -275.644 (17.895)\n",
      "545 --- MAE: -277.332 (20.982)\n",
      "730 --- MAE: -275.664 (23.006)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "from sklearn.model_selection import RepeatedKFold\n",
    "\n",
    "params = {\n",
    "    'n_estimators': 2000,\n",
    "    'max_depth': 4,\n",
    "    'num_leaves': 2**4,\n",
    "    'learning_rate': 0.1,\n",
    "    'boosting_type': 'dart'\n",
    "}\n",
    "\n",
    "windows = [7, 30, 180, 365, 545, 730]\n",
    "\n",
    "results = []\n",
    "names = []\n",
    "for w in windows:\n",
    "\n",
    "    window_size = w\n",
    "\n",
    "    train_x, train_y = create_xy(train_series, window_size, prediction_horizon)\n",
    "\n",
    "    train_y = train_y.flatten()\n",
    "\n",
    "    cv = RepeatedKFold(n_splits = 10, n_repeats = 3, random_state = 123)\n",
    "    scores = cross_val_score(lgb.LGBMRegressor(**params), train_x, train_y, scoring = 'neg_mean_absolute_error', cv = cv, n_jobs = -1)\n",
    "    results.append(scores)\n",
    "    names.append(w)\n",
    "    print('%3d --- MAE: %.3f (%.3f)' % (w, np.mean(scores), np.std(scores)))\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, 5]    \n",
    "    \n",
    "plt.boxplot(results, labels = names, showmeans = True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "## 4. Multi-Step Prediction\n",
    "\n",
    "Suppose we were interested in forecasting the next $n$-days instead of just the next day.\n",
    "\n",
    "There are several approaches we can take to solve this problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "### HYPERPARAMETERS ###\n",
    "window_size = 365\n",
    "prediction_horizon = 1\n",
    "\n",
    "### TRAIN VAL SPLIT ###\n",
    "test_size = 28\n",
    "split_time = len(series) - test_size\n",
    "\n",
    "train_series = series[:split_time]\n",
    "test_series = series[split_time - window_size:]\n",
    "\n",
    "train_x, train_y = create_xy(train_series, window_size, prediction_horizon)\n",
    "test_x, test_y = create_xy(test_series, window_size, prediction_horizon)\n",
    "\n",
    "train_y = train_y.flatten()\n",
    "test_y = test_y.flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "### Recursive Forecasting\n",
    "\n",
    "In recursive forecasting, we first train a one-step model then generate a multi-step forecast by recursively feeding our predictions back into the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LGBMRegressor(boosting_type='dart', first_metric_only=True, max_depth=4,\n",
       "              n_estimators=2000, num_leaves=16)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "params = {\n",
    "    'n_estimators': 2000,\n",
    "    'max_depth': 4,\n",
    "    'num_leaves': 2**4,\n",
    "    'learning_rate': 0.1,\n",
    "    'boosting_type': 'dart'\n",
    "}\n",
    "\n",
    "model = lgb.LGBMRegressor(first_metric_only = True, **params)\n",
    "\n",
    "model.fit(train_x, train_y,\n",
    "          eval_metric = 'l1', \n",
    "          eval_set = [(test_x, test_y)],\n",
    "          #early_stopping_rounds = 10,\n",
    "          verbose = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  One-Step MAE: 200.5037\n",
      "Multi-Step MAE: 214.8020\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recursive_x = test_x[0, :]\n",
    "\n",
    "forecast_ms = []\n",
    "for i in range(test_x.shape[0]):\n",
    "    pred = model.predict(recursive_x.reshape((1, recursive_x.shape[0])))\n",
    "    recursive_x = np.append(recursive_x[1:], pred)\n",
    "    forecast_ms.append(pred)\n",
    "    \n",
    "forecast_ms_rec = np.asarray(forecast_ms).flatten()\n",
    "forecast_os = model.predict(test_x)\n",
    "\n",
    "print('  One-Step MAE: %.4f' % (np.mean(np.abs(forecast_os - test_y))))\n",
    "print('Multi-Step MAE: %.4f' % (np.mean(np.abs(forecast_ms_rec - test_y))))\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series[-test_size:].plot(label = 'True')\n",
    "plt.plot(forecast_ms_rec, label = 'Forecast Multi-Step')\n",
    "plt.plot(forecast_os, label = 'Forecast One-Step')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "### Direct Forecasting\n",
    "\n",
    "In direct forecasting, we train $n$ independent models and generate a multi-step forecast by concatenating the $n$ predictions.\n",
    "\n",
    "For this implementation, we need to create a new $(X,Y)$ dataset, where $Y$ is now a vector of $n$ values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "### HYPERPARAMETERS ###\n",
    "window_size = 365\n",
    "prediction_horizon = 28\n",
    "\n",
    "### TRAIN VAL SPLIT ###\n",
    "test_size = 28\n",
    "split_time = len(series) - test_size\n",
    "\n",
    "train_series = series[:split_time]\n",
    "test_series = series[split_time - window_size:]\n",
    "\n",
    "train_x, train_y = create_xy(train_series, window_size, prediction_horizon)\n",
    "test_x, test_y = create_xy(test_series, window_size, prediction_horizon)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MultiOutputRegressor(estimator=LGBMRegressor(), n_jobs=-1)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.multioutput import MultiOutputRegressor\n",
    "\n",
    "model = MultiOutputRegressor(lgb.LGBMRegressor(), n_jobs = -1)\n",
    "\n",
    "model.fit(train_x, train_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  One-Step MAE: 200.5037\n",
      "Multi-Step MAE: 233.6326\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast_ms_dir = model.predict(test_x)\n",
    "\n",
    "print('  One-Step MAE: %.4f' % (np.mean(np.abs(forecast_os - test_y))))\n",
    "print('Multi-Step MAE: %.4f' % (np.mean(np.abs(forecast_ms_dir - test_y))))\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [plot_x_size, plot_y_size]\n",
    "\n",
    "series[-test_size:].plot(label = 'True')\n",
    "plt.plot(forecast_ms_dir.T, label = 'Forecast Multi-Step')\n",
    "plt.plot(forecast_os, label = 'Forecast One-Step')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "### Single-Shot Forecasting\n",
    "\n",
    "In single-shot forecasting, we create a model that attempts to predict all $n$-steps simultaneously.\n",
    "\n",
    "Unfortunately, LightGBM (tree-based methods in general) does not support multi-output models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "### Forecast Combination\n",
    "\n",
    "An easy way to improve forecast accuracy is to use several different methods on the same time series, and to average the resulting forecasts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Recursive MAE: 214.8020\n",
      "     Direct MAE: 233.6326\n",
      "Combination MAE: 217.0313\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast_ms_comb = 0.5*forecast_ms_dir.flatten() + 0.5*forecast_ms_rec\n",
    "\n",
    "print('  Recursive MAE: %.4f' % (np.mean(np.abs(forecast_ms_rec - test_y))))\n",
    "print('     Direct MAE: %.4f' % (np.mean(np.abs(forecast_ms_dir - test_y))))\n",
    "print('Combination MAE: %.4f' % (np.mean(np.abs(forecast_ms_comb - test_y))))\n",
    "\n",
    "series[-test_size:].plot(label = 'True')\n",
    "plt.plot(forecast_ms_comb, label = 'Forecast Combination')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JsNAcgw5OfU7"
   },
   "source": [
    "## 5. Feature Importance\n",
    "\n",
    "One advantage of GBM models is that it can generate feature importance metrics based on the quality of the splits (or information gain)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LGBMRegressor(boosting_type='dart', first_metric_only=True, max_depth=4,\n",
       "              n_estimators=2000, num_leaves=16)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### HYPERPARAMETERS ###\n",
    "window_size = 365\n",
    "prediction_horizon = 1\n",
    "\n",
    "### TRAIN VAL SPLIT ###\n",
    "test_size = 28\n",
    "split_time = len(series) - test_size\n",
    "\n",
    "train_series = series[:split_time]\n",
    "test_series = series[split_time - window_size:]\n",
    "\n",
    "train_x, train_y = create_xy(train_series, window_size, prediction_horizon)\n",
    "test_x, test_y = create_xy(test_series, window_size, prediction_horizon)\n",
    "\n",
    "train_y = train_y.flatten()\n",
    "test_y = test_y.flatten()\n",
    "    \n",
    "params = {\n",
    "    'n_estimators': 2000,\n",
    "    'max_depth': 4,\n",
    "    'num_leaves': 2**4,\n",
    "    'learning_rate': 0.1,\n",
    "    'boosting_type': 'dart'\n",
    "}\n",
    "\n",
    "model = lgb.LGBMRegressor(first_metric_only = True, **params)\n",
    "\n",
    "feature_name_list = ['lag_' + str(i+1) for i in range(window_size)]\n",
    "\n",
    "model.fit(train_x, train_y,\n",
    "          eval_metric = 'l1', \n",
    "          eval_set = [(test_x, test_y)],\n",
    "          #early_stopping_rounds = 10,\n",
    "          feature_name = feature_name_list,\n",
    "          verbose = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
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    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [5, 5]\n",
    "\n",
    "lgb.plot_importance(model, max_num_features = 15, importance_type = 'split')\n",
    "plt.show()"
   ]
  },
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   "source": [
    "## Summary\n",
    "\n",
    "In summary, this section has shown the following:\n",
    "\n",
    "- A quick exploration of the M5 dataset and its salient features\n",
    "- Checking the usual assumptions for classical time series analysis\n",
    "- Demonstrating the 'out-of-the-box' performance of LightGBM models\n",
    "- Demonstrating how tuning the lookback window can effect forecasting performance\n",
    "- Demonstrating how tuning the hyperparameters of a LightGBM model can improve performance\n",
    "- Summarizing the different approaches to multi-step forecasting\n",
    "- Illustrating that gradient boosting methods can measure feature importance\n",
    "\n",
    "Many of the methods and approaches shown above are easily extendable. Of note, because of the non-parametric nature of most machine learning models, performing classical inference tasks like hypothesis testing is more challenging. However, trends in ML research have been moving towards greater interpretability of so-called 'black box' models, such as SHAP for feature importance and even Bayesian approaches to neural networks for causality inference."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FJogEfYBOfUm"
   },
   "source": [
    "## References\n",
    "\n",
    "[1] S. Makridakis, E. Spiliotis, and V. Assimakopoulos. The M5 Accuracy competition: Results, findings and conlusions. 2020.\n",
    "\n",
    "[2] S. Makridakis, E. Spiliotis, V. Assimakopoulos, Z. Chen, A. Gaba, I. Tsetlin, and R. Winkler. The M5 Uncertainty competition: Results, findings and conlusions. 2020.\n",
    "\n",
    "[3] V. Jose, and R. Winkler. Evaluating quantile assessments. Operations research, 2009.\n",
    "\n",
    "[4] A. Gaba, I. Tsetlin, and R. Winkler. Combining interval forecasts. Decision Analysis, 2017."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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