From 3a28041082cc59cfb00c507e3bee994c84771d78 Mon Sep 17 00:00:00 2001
From: SupritiVijay <59250204+SupritiVijay@users.noreply.github.com>
Date: Mon, 14 Sep 2020 15:52:58 +0530
Subject: [PATCH] Add files via upload

---
 ... Preprocessing and Modelling Of Data.ipynb |   2859 +
 lgb_submission (1).csv                        | 214201 +++++++++++++++
 nn_submission (1).csv                         | 214201 +++++++++++++++
 xgb_submission (1).csv                        | 214201 +++++++++++++++
 4 files changed, 645462 insertions(+)
 create mode 100644 Data Preprocessing and Modelling Of Data.ipynb
 create mode 100644 lgb_submission (1).csv
 create mode 100644 nn_submission (1).csv
 create mode 100644 xgb_submission (1).csv

diff --git a/Data Preprocessing and Modelling Of Data.ipynb b/Data Preprocessing and Modelling Of Data.ipynb
new file mode 100644
index 0000000..7c1c20d
--- /dev/null
+++ b/Data Preprocessing and Modelling Of Data.ipynb	
@@ -0,0 +1,2859 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Modelling Of Data\n",
+    "\n",
+    "Using the dataset on Kaggle, we have preprocessed the data and used models like ARIMA, Light GBM, Xgboost and Neural Networks to predict the sales of toys in the future."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Importing Libraries for Time Series Analysis and Forecasting"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 283
+    },
+    "colab_type": "code",
+    "id": "URLaD_l-W52o",
+    "outputId": "39406231-f105-4233-f938-7bfefbf16038"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Requirement already satisfied: pmdarima in /usr/local/lib/python3.6/dist-packages (1.7.1)\n",
+      "Requirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (0.16.0)\n",
+      "Requirement already satisfied: scipy>=1.3.2 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (1.4.1)\n",
+      "Requirement already satisfied: pandas>=0.19 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (1.0.5)\n",
+      "Requirement already satisfied: Cython<0.29.18,>=0.29 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (0.29.17)\n",
+      "Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (1.18.5)\n",
+      "Requirement already satisfied: statsmodels<0.12,>=0.11 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (0.11.1)\n",
+      "Requirement already satisfied: urllib3 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (1.24.3)\n",
+      "Requirement already satisfied: setuptools<50.0.0 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (49.6.0)\n",
+      "Requirement already satisfied: scikit-learn>=0.22 in /usr/local/lib/python3.6/dist-packages (from pmdarima) (0.22.2.post1)\n",
+      "Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.19->pmdarima) (2018.9)\n",
+      "Requirement already satisfied: python-dateutil>=2.6.1 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.19->pmdarima) (2.8.1)\n",
+      "Requirement already satisfied: patsy>=0.5 in /usr/local/lib/python3.6/dist-packages (from statsmodels<0.12,>=0.11->pmdarima) (0.5.1)\n",
+      "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.6.1->pandas>=0.19->pmdarima) (1.15.0)\n"
+     ]
+    }
+   ],
+   "source": [
+    "!pip install pmdarima"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "NDCvmdfsW52t"
+   },
+   "outputs": [],
+   "source": [
+    "import warnings\n",
+    "import itertools\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "warnings.filterwarnings(\"ignore\")\n",
+    "plt.style.use('fivethirtyeight')\n",
+    "\n",
+    "import pandas as pd\n",
+    "pd.set_option('display.expand_frame_repr', False)\n",
+    "pd.set_option('display.max_columns', 500)\n",
+    "pd.set_option('display.width', 1000)\n",
+    "\n",
+    "import statsmodels.api as sm\n",
+    "from statsmodels.graphics.tsaplots import plot_acf\n",
+    "from statsmodels.graphics.tsaplots import plot_pacf\n",
+    "from statsmodels.tsa.stattools import adfuller\n",
+    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
+    "from statsmodels.tsa.ar_model import AR\n",
+    "from statsmodels.tsa.arima_model import ARMA, ARIMA\n",
+    "from pmdarima.arima import auto_arima\n",
+    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
+    "\n",
+    "\n",
+    "from math import sqrt\n",
+    "\n",
+    "import matplotlib\n",
+    "matplotlib.rcParams['axes.labelsize'] = 14\n",
+    "matplotlib.rcParams['xtick.labelsize'] = 12\n",
+    "matplotlib.rcParams['ytick.labelsize'] = 12\n",
+    "matplotlib.rcParams['text.color'] = 'k'\n",
+    "import seaborn as sns\n",
+    "\n",
+    "from random import random\n",
+    "\n",
+    "from sklearn.metrics import mean_squared_error, r2_score, mean_absolute_error, median_absolute_error, mean_squared_log_error\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Importing Data from the given Dataset"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "lGOBGwTEW52w"
+   },
+   "outputs": [],
+   "source": [
+    "df = pd.read_csv('sales_train.csv')\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "wkiqM2yfW520",
+    "outputId": "940f63dc-bac9-4a70-c488-0738519dbeb7"
+   },
+   "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>date</th>\n",
+       "      <th>date_block_num</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "      <th>item_price</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>02.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>59</td>\n",
+       "      <td>22154</td>\n",
+       "      <td>999.00</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>03.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>05.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>-1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>06.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2554</td>\n",
+       "      <td>1709.05</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>15.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2555</td>\n",
+       "      <td>1099.00</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         date  date_block_num  shop_id  item_id  item_price  item_cnt_day\n",
+       "0  02.01.2013               0       59    22154      999.00           1.0\n",
+       "1  03.01.2013               0       25     2552      899.00           1.0\n",
+       "2  05.01.2013               0       25     2552      899.00          -1.0\n",
+       "3  06.01.2013               0       25     2554     1709.05           1.0\n",
+       "4  15.01.2013               0       25     2555     1099.00           1.0"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "_Ls1M2zDW523",
+    "outputId": "66047c4f-e1a9-4656-8d99-7cfd17de895a"
+   },
+   "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>date_block_num</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "      <th>item_price</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>count</th>\n",
+       "      <td>2.935849e+06</td>\n",
+       "      <td>2.935849e+06</td>\n",
+       "      <td>2.935849e+06</td>\n",
+       "      <td>2.935849e+06</td>\n",
+       "      <td>2.935849e+06</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>mean</th>\n",
+       "      <td>1.456991e+01</td>\n",
+       "      <td>3.300173e+01</td>\n",
+       "      <td>1.019723e+04</td>\n",
+       "      <td>8.908532e+02</td>\n",
+       "      <td>1.242641e+00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>std</th>\n",
+       "      <td>9.422988e+00</td>\n",
+       "      <td>1.622697e+01</td>\n",
+       "      <td>6.324297e+03</td>\n",
+       "      <td>1.729800e+03</td>\n",
+       "      <td>2.618834e+00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>min</th>\n",
+       "      <td>0.000000e+00</td>\n",
+       "      <td>0.000000e+00</td>\n",
+       "      <td>0.000000e+00</td>\n",
+       "      <td>-1.000000e+00</td>\n",
+       "      <td>-2.200000e+01</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>25%</th>\n",
+       "      <td>7.000000e+00</td>\n",
+       "      <td>2.200000e+01</td>\n",
+       "      <td>4.476000e+03</td>\n",
+       "      <td>2.490000e+02</td>\n",
+       "      <td>1.000000e+00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50%</th>\n",
+       "      <td>1.400000e+01</td>\n",
+       "      <td>3.100000e+01</td>\n",
+       "      <td>9.343000e+03</td>\n",
+       "      <td>3.990000e+02</td>\n",
+       "      <td>1.000000e+00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>75%</th>\n",
+       "      <td>2.300000e+01</td>\n",
+       "      <td>4.700000e+01</td>\n",
+       "      <td>1.568400e+04</td>\n",
+       "      <td>9.990000e+02</td>\n",
+       "      <td>1.000000e+00</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>max</th>\n",
+       "      <td>3.300000e+01</td>\n",
+       "      <td>5.900000e+01</td>\n",
+       "      <td>2.216900e+04</td>\n",
+       "      <td>3.079800e+05</td>\n",
+       "      <td>2.169000e+03</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "       date_block_num       shop_id       item_id    item_price  item_cnt_day\n",
+       "count    2.935849e+06  2.935849e+06  2.935849e+06  2.935849e+06  2.935849e+06\n",
+       "mean     1.456991e+01  3.300173e+01  1.019723e+04  8.908532e+02  1.242641e+00\n",
+       "std      9.422988e+00  1.622697e+01  6.324297e+03  1.729800e+03  2.618834e+00\n",
+       "min      0.000000e+00  0.000000e+00  0.000000e+00 -1.000000e+00 -2.200000e+01\n",
+       "25%      7.000000e+00  2.200000e+01  4.476000e+03  2.490000e+02  1.000000e+00\n",
+       "50%      1.400000e+01  3.100000e+01  9.343000e+03  3.990000e+02  1.000000e+00\n",
+       "75%      2.300000e+01  4.700000e+01  1.568400e+04  9.990000e+02  1.000000e+00\n",
+       "max      3.300000e+01  5.900000e+01  2.216900e+04  3.079800e+05  2.169000e+03"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.describe()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "P4696P49W527",
+    "outputId": "6397d3c4-8c78-4d36-cb46-56298a07b938"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Time period start: 01.01.2013\n",
+      "Time period end: 31.12.2014\n"
+     ]
+    }
+   ],
+   "source": [
+    "print('Time period start: {}\\nTime period end: {}'.format(df.date.min(),df.date.max()))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "4SLkV9B4W53F",
+    "outputId": "b99fd60c-8128-410f-b320-28fed696c935"
+   },
+   "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>date</th>\n",
+       "      <th>date_block_num</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "      <th>item_price</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "      <th>year</th>\n",
+       "      <th>month</th>\n",
+       "      <th>day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>02.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>59</td>\n",
+       "      <td>22154</td>\n",
+       "      <td>999.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>03.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>3</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>05.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>-1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>06.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2554</td>\n",
+       "      <td>1709.05</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>6</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>15.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2555</td>\n",
+       "      <td>1099.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>15</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         date  date_block_num  shop_id  item_id  item_price  item_cnt_day  year  month  day\n",
+       "0  02.01.2013               0       59    22154      999.00           1.0  2013      1    2\n",
+       "1  03.01.2013               0       25     2552      899.00           1.0  2013      1    3\n",
+       "2  05.01.2013               0       25     2552      899.00          -1.0  2013      1    5\n",
+       "3  06.01.2013               0       25     2554     1709.05           1.0  2013      1    6\n",
+       "4  15.01.2013               0       25     2555     1099.00           1.0  2013      1   15"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import datetime as dt\n",
+    "date = df.date.apply(lambda x:dt.datetime.strptime(x, '%d.%m.%Y'))\n",
+    "\n",
+    "df['year'] = date.dt.year\n",
+    "df['month'] = date.dt.month\n",
+    "df['day'] = date.dt.day\n",
+    "df.head()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "mSfQatmwW53J",
+    "outputId": "d2093afb-d720-431d-ad07-2cdffd0e6b92"
+   },
+   "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>date</th>\n",
+       "      <th>date_block_num</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "      <th>item_price</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "      <th>year</th>\n",
+       "      <th>month</th>\n",
+       "      <th>day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>02.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>59</td>\n",
+       "      <td>22154</td>\n",
+       "      <td>999.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>03.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>3</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>05.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2552</td>\n",
+       "      <td>899.00</td>\n",
+       "      <td>-1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>06.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2554</td>\n",
+       "      <td>1709.05</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>6</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>15.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>25</td>\n",
+       "      <td>2555</td>\n",
+       "      <td>1099.00</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>2013</td>\n",
+       "      <td>1</td>\n",
+       "      <td>15</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         date  date_block_num  shop_id  item_id  item_price  item_cnt_day  year  month  day\n",
+       "0  02.01.2013               0       59    22154      999.00           1.0  2013      1    2\n",
+       "1  03.01.2013               0       25     2552      899.00           1.0  2013      1    3\n",
+       "2  05.01.2013               0       25     2552      899.00          -1.0  2013      1    5\n",
+       "3  06.01.2013               0       25     2554     1709.05           1.0  2013      1    6\n",
+       "4  15.01.2013               0       25     2555     1099.00           1.0  2013      1   15"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "rmz7Qp-iW53N",
+    "outputId": "2c4fe6f9-8459-4057-d2a2-590e91cef24d"
+   },
+   "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>date</th>\n",
+       "      <th>date_block_num</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>02.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>03.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>05.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>-1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>06.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>15.01.2013</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1.0</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         date  date_block_num  item_cnt_day\n",
+       "0  02.01.2013               0           1.0\n",
+       "1  03.01.2013               0           1.0\n",
+       "2  05.01.2013               0          -1.0\n",
+       "3  06.01.2013               0           1.0\n",
+       "4  15.01.2013               0           1.0"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cols = ['shop_id', 'item_id', 'item_price', 'year', 'month', 'day']\n",
+    "df.drop(cols, axis = 1, inplace = True)\n",
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "28W1n5wxW53Q",
+    "outputId": "b8d5b37e-884c-4a86-e101-d2186bae6604"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "01.01.2013\n",
+      "31.12.2014\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(df['date'].min())\n",
+    "print(df['date'].max())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "5wQL1y35W53T",
+    "outputId": "d5a657fd-8d01-4d6f-ad34-d95e7a0f97c6"
+   },
+   "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>index</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>2013-01-01</td>\n",
+       "      <td>131479.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2013-02-01</td>\n",
+       "      <td>128090.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>2013-03-01</td>\n",
+       "      <td>147142.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>2013-04-01</td>\n",
+       "      <td>107190.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>2013-05-01</td>\n",
+       "      <td>106970.0</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "       index  item_cnt_day\n",
+       "0 2013-01-01      131479.0\n",
+       "1 2013-02-01      128090.0\n",
+       "2 2013-03-01      147142.0\n",
+       "3 2013-04-01      107190.0\n",
+       "4 2013-05-01      106970.0"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df=df.groupby([\"date_block_num\"])[\"item_cnt_day\"].sum()\n",
+    "df.index=pd.date_range(start = '2013-01-01',end='2015-10-01', freq = 'MS')\n",
+    "df=df.reset_index()\n",
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "1hO9e-ChW53W",
+    "outputId": "5c98b9ae-5712-4728-9f67-24255d82e318"
+   },
+   "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>index</th>\n",
+       "      <th>item_cnt_day</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>2013-01-01</td>\n",
+       "      <td>131479.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2013-02-01</td>\n",
+       "      <td>128090.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>2013-03-01</td>\n",
+       "      <td>147142.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>2013-04-01</td>\n",
+       "      <td>107190.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>2013-05-01</td>\n",
+       "      <td>106970.0</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "       index  item_cnt_day\n",
+       "0 2013-01-01      131479.0\n",
+       "1 2013-02-01      128090.0\n",
+       "2 2013-03-01      147142.0\n",
+       "3 2013-04-01      107190.0\n",
+       "4 2013-05-01      106970.0"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Data Preprocessing"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "LhPQzbfoW53Z",
+    "outputId": "ce081e35-1894-4d79-db91-b027a3a9fa7a"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       index  item_cnt_day\n",
+      "0 2013-01-01      131479.0\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "index           0\n",
+       "item_cnt_day    0\n",
+       "dtype: int64"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df = df.sort_values('index')\n",
+    "\n",
+    "print(df.head(1))\n",
+    "\n",
+    "df.isnull().sum()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "HCIDqai8W53d",
+    "outputId": "47638b52-d5e4-4531-e93b-7b584ae24d67"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "DatetimeIndex(['2013-01-01', '2013-02-01', '2013-03-01', '2013-04-01', '2013-05-01', '2013-06-01', '2013-07-01', '2013-08-01', '2013-09-01', '2013-10-01', '2013-11-01', '2013-12-01', '2014-01-01', '2014-02-01', '2014-03-01', '2014-04-01', '2014-05-01', '2014-06-01', '2014-07-01', '2014-08-01', '2014-09-01', '2014-10-01', '2014-11-01', '2014-12-01', '2015-01-01', '2015-02-01', '2015-03-01', '2015-04-01', '2015-05-01', '2015-06-01', '2015-07-01', '2015-08-01', '2015-09-01', '2015-10-01'], dtype='datetime64[ns]', name='index', freq=None)"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df = df.set_index('index')\n",
+    "df.index"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "8MPfQinvW53g",
+    "outputId": "d5516428-2956-4943-8937-6c59c4efdb4c"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "index\n",
+       "2014-01-01    116899.0\n",
+       "2014-02-01    109687.0\n",
+       "2014-03-01    115297.0\n",
+       "2014-04-01     96556.0\n",
+       "2014-05-01     97790.0\n",
+       "2014-06-01     97429.0\n",
+       "2014-07-01     91280.0\n",
+       "2014-08-01    102721.0\n",
+       "2014-09-01     99208.0\n",
+       "2014-10-01    107422.0\n",
+       "2014-11-01    117845.0\n",
+       "2014-12-01    168755.0\n",
+       "2015-01-01    110971.0\n",
+       "2015-02-01     84198.0\n",
+       "2015-03-01     82014.0\n",
+       "2015-04-01     77827.0\n",
+       "2015-05-01     72295.0\n",
+       "2015-06-01     64114.0\n",
+       "2015-07-01     63187.0\n",
+       "2015-08-01     66079.0\n",
+       "2015-09-01     72843.0\n",
+       "2015-10-01     71056.0\n",
+       "Freq: MS, Name: item_cnt_day, dtype: float64"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "y = df['item_cnt_day'].resample('MS').mean()\n",
+    "y['2014':]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "ViHECDnDW53j"
+   },
+   "source": [
+    "## Data Visualization"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "t7Z6SzA1W53m",
+    "outputId": "f9cdfbdf-65ca-4a37-89a1-15cd830efc08"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from pandas import Series\n",
+    "from matplotlib import pyplot\n",
+    "pyplot.figure(1)\n",
+    "pyplot.subplot(211)\n",
+    "df.item_cnt_day.hist()\n",
+    "pyplot.subplot(212)\n",
+    "df.item_cnt_day.plot(kind='kde')\n",
+    "pyplot.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "-WNI_u44W53t",
+    "outputId": "aaf1b1bb-8f56-4b16-9dac-c86e8a47fa27"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1080x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "y.plot(figsize=(15, 6))\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "aX8M_lClW53w",
+    "outputId": "b3918b2c-9e63-4181-b765-924794e4d6bf"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f1db08b0610>"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1080x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, ax = plt.subplots(figsize=(15,6))\n",
+    "sns.boxplot(df.item_cnt_day.index.year, df.item_cnt_day, ax=ax)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "6qhE1NSqW535",
+    "outputId": "76c81f28-ec9b-4158-d887-1c8150eb6112"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 1296x576 with 4 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from pylab import rcParams\n",
+    "rcParams['figure.figsize'] = 18, 8\n",
+    "\n",
+    "decomposition = sm.tsa.seasonal_decompose(y, model = 'multiplicative')\n",
+    "fig = decomposition.plot()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "AIaCOghGW538",
+    "outputId": "ed46ea30-2f0c-4550-e045-ebee36c17278"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x7f1db0656b10>]"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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/V6W+6X+8mTvztbMzHwBkXNS2E+YKNlWOH0xt6wkrynxAAHA9gikAQFYzZ4g0TrONL8YcgE7FFABk3jvBiILhsbCpotDS3NKjlzTVxR5VFlqjjw1GbO3uZ1EBANyOYAoAkNVajJXzhmkOPo+pG2dnPgBAZjV3m/OlCmRZR8Moy7LUYAxAp50PANyPYAoAkNVakzz4PKbWaOXroJUPADKu5Yi5I5/zPb++kjlTAJBtCKYAAFnNnDXSmKSKKXNXvj39EQ1FmFUCAJm0ZZyKqXj1AYIpAMg2BFMAgKw1HLG1o9d50ZGMHfkkqdhnaV7p2MekLWlXkAscAMikZqNiqnGGEUwZnwFbjSALAOA+BFMAgKy1oy+suBm4mlfqUUVh8j7aEgeg084HAJkSidra2uMMmpYZrXwNtPIBQNaZ1Lf3NWvW6IILLtDs2bN16623Oh4bGBjQP/3TP+nkk0/WSSedpMsvv3z0Mdu29dWvflV1dXWqq6vTV77yFdlxW7Zu2LBB559/vubOnavzzz9fGzZsSMqxAID8YLbxLU1SG19MndES0t7LBQ4AZEp7X1hDcesDs4o9qi52zgOsLffJN7Yxn/YPRtU7HE3TKwQATMWkgqmamhrdfvvtuuGGGxIe+4d/+AcdOXJE69atU3t7u+66667Rx3784x/rySef1KuvvqrXXntNzz77rH70ox9JkoaHh7Vq1Spdc8016ujo0PXXX69Vq1ZpeHh42scCAPJDqgafx9T6nRc87MwHAJmzxWzjG+c9v8BjJSwqbKNqCgBcbVLB1MqVK3XllVeqqqrKcX9bW5uefvpp3XPPPaqurpbX69Xpp58++viDDz6oz372s5o/f77mzZun2267TWvXrpUkvfrqq4pEIvrMZz6joqIiffrTn5Ykvfzyy9M+FgCQHxIqpipSWzFFKx8AZE6LOfh8xvjv+QlzpgimAMDVprW0/Ic//EELFy7UXXfdpV/84heqqanRF7/4RV199dWSpJaWFq1YsWL0+aeccopaWlokSc3NzVq+fLksa6zWdvny5WpubtbFF188rWPH09bWNp1f1TVy5ffA8XGu8xPn/cRsOFCs+DWWsuB+tbUlr2XD2+eRVDx6u/XQgNraDift53O+8wfnOj9x3pNr3TuFir98mTlyWG1tnQnPq44WSBoLrd5sP6h32akfgs75zh+c6/zEeZ+e+vr6CR+bVjC1d+9ebdmyRVdddZVaWlq0bt06XXvttWpsbNTSpUsVDAYVCARGnx8IBBQMBmXbtvr7+x2PxT8uaVrHjudY/xGyRVtbW078Hjg+znV+4ryfmEjU1q7X9zruu3hFraqMeSPTURWKSH/eP3p735BXS5YscSyMTBXnO39wrvMT5z35dm86IGms+un8hvmqn1OU8Lxz1K8HdneP3j7kLVd9/cyUvjbOd/7gXOcnzntqTWvrouLiYhUUFOiOO+5QYWGhzjvvPJ133nl64YUXJEl+v199fX2jz+/r65Pf75dlWSorK3M8Jkm9vb3y+/3TPhYAkPt2BiOOIbjVxZ6khlKSVFXkUXnBWAg1GLF1YJAhugCQbsMRO2FWVOMEG16YrXzszAcA7jatYCq+1W48jY2N2rRp0+jtjRs3qrGxUZLU1NSkzZs3O3ba27x5s5qamqZ9LAAg95mzRpI9+FySLMtSbbk5Z4oLHABIt229YYXHvvprfqlXlUXjX8rUG/MGt/eGFY7a4z4XAJB5kwqmwuGwQqGQIpGIIpGIQqGQwuGwzj33XC1YsED//u//rnA4rDfeeEOvvfaa3v/+90uSrrvuOt17773au3ev9u3bp3vvvVerVq2SJJ133nnyeDz6wQ9+oKGhIa1Zs0aS9L73vW/axwIAct/W7smtnE9XXbm5Mx8D0AEg3ZqPOBcjGmdMvBgxo8ijWcVjlznDUWlXkPduAHCrSQVTd999t2pqavSd73xHDz/8sGpqanT33XeroKBAa9eu1XPPPaeTTjpJn//85/X9739fDQ0NkqSbbrpJl112mc4991y9973v1aWXXqqbbrpJklRYWKif//zneuihh7Ro0SL97Gc/089//nMVFhZO+1gAQO4zK6YaKpJfMSUpoWKqnYopAEi7ZmMxouk4ixGJO/Olfvg5AGBqJvUtfvXq1Vq9evW4jzU1Nem5554b9zHLsnTnnXfqzjvvHPfx0047TS+99FLSjwUA5L7WhFkjqQmm6mjlA4CMMyummo5RMSUdDaZ+f2B49HZbT1iXLUzJSwMATNO0ZkwBAJAJUdtOaOVbmqJWvlqjla+jl3YQAEi3hGDqBCumGIAOAO5FMAUAyDp7+iPqj5uCGyi0NKckNR9pdQGjYirIxQ0ApNNg2E6Y73e8DS8ajAHoBFMA4F4EUwCArNNqDj6vKJBlWSn5sxaUeeWN+9EHB6MKjkRT8mcBABK1do8ofk+92nKvygqOfRnTYARXZpUtAMA9CKYAAFnHHHx+vJXz6fB5LC30O9v5drIzHwCkjTn4fDK7sC4s86oo7q370FBUh0O8dwOAGxFMAQCyzlajJcNcGU82cwA6O/MBQPq0GPOllh1n8LkkeT2WFpczZwoAsgHBFAAg6yS08qVo8HmMOQCdYAoA0qe5+8QGn8fUm+18BFMA4EoEUwCArGLbdlpb+aTEiila+QAgfbYcMRYjZkwymGIAOgBkBYIpAEBWOTgYVc/w2BjcMp+lBWXeYxwxfYto5QOAjOgdjmp3/9higNeS6gOTW4xoqKCVDwCyAcEUACCrtBhtfPUVPnlStCNfTJ3RytdBMAUAaWG2bi8O+FTsm9x7fj3BFABkBYIpAEBWaU1zG58k1RoVU7uCEUWi9gTPBgAkizlfqvEE3vOXVCRWuw5HeO8GALchmAIAZBVzeG2qB59LUqDQo5lFYx+ZI1E5WksAAKnRbOzI1zTJ+VKSVF7g0bzSsffuiE0rNgC4EcEUACCrmIPPzRkiqVIXMNv5CKYAINWajVa+ZScQTEkMQAeAbEAwBQDIKua8kXRUTEmJ7XzMmQKA1DMrpk6klU9izhQAZAOCKQBA1jgciqgzFB29XeSVFpWndke+GIIpAEivw6GIDgyOvecXeqSTJ7kjX4wZTJnt4ACAzCOYAgBkjdaexN2ZfJ7U7sgXU2sEYO208gFASpltfPUVPhWc4Hu+2e7d1jMywTMBAJlCMAUAyBqZauOTpDoqpgAgrcw2vhOdLyWN38pn2+zMBwBuQjAFAMga5uDzpSc4a2Q6zGCKnZ0AILXMiqmpLEbMK/Oq1DdWZdUzbDtawgEAmUcwBQDIGluNi5SlFemrmKop9agorpuvZ9jWkSEubgAgVcyKqaYZJ74Y4bEsLQkwZwoA3IxgCgCQNcxWvnRWTHksS7V+2vkAIB1s21Zz9/Rb+SSpwfisaOvmvRsA3IRgCgCQFXqHo9ozMDZw3GsdHX6eTgkD0Hu5uAGAVDgwGNWRobFZUKU+Syf5p7YLa8KcqV4GoAOAmxBMAQCyQpvRenFywKdCb3p25IupNQegB9mZDwBSYbyZgh5rau/59QEqpgDAzQimAABZIeEipSK91VKSVGdc3FAxBQCpseWI8/21aRq7sNYbxzJjCgDchWAKAJAVzPlSU9mdaboSWvmYMQUAKZEw+HwaMwUXB7yKr7XaFYxoMGxP+HwAQHoRTAEAskJrT+YGn8fUma18fbTyAUAqmFWyTVMcfC5JpT6PFsbNp7Il7aDiFQBcg2AKAJAVWo2LFHOXpXQ4ydiVb09/REMRVt0BIJls21az2co3jWBKkhrMAei08wGAaxBMAQBcbzBsa2dcdZKlxF2W0qHEZ2le6dhHpy3pnSAXNwCQTO/0RxSMa7ULFDjfe6diifGZsbWHnfkAwC0IpgAArtfWM6L4uqRF5V6V+jLzEbbIaOdrp50PAJKqZZxqKWuKO/LFNFQ4K66omAIA9yCYAgC4njn4PBM78sUkzpni4gYAkqnZnC+VhNZts8qWYAoA3INgCgDgegnBVAZ25IupY2c+AEipLcaOfI3TnC8ljT9jyraZEQgAbkAwBQBwPXN3pkzsyBdTa7by9dLKBwDJ1GIsRjQlYTFidolHgYKxdsD+sK29A9Fp/1wAwPQRTAEAXG9rj4sqpgLOYGonFVMAkDSRqJ2wC+uyGdNfjLAsa5x2PgagA4AbEEwBAFxtOGJre68z/DFbMtKp1mjl6whGaAcBgCTp6IsoFFeIOrPIo1kl3okPOAFmMLW1m4UFAHADgikAgKtt7w0rEpf7zC/1KlCYuY+vmUUelce1gwyEbR0cpB0EAJIhYfB5EqqlYhqMatu2XoIpAHADgikAgKuZbXwNGZwvJR1tB1lkzpminQ8AkqL5iBlMJa91e0mAnfkAwI0IpgAAruamwecx5s58HX0MQAeAZGhOweDzGHNho41WPgBwBYIpAICrtRoXDo0ZHHweU0fFFACkREtCxVTyFiPqyn3yjnVia89ARMERWrEBINMIpuBK4aitTYdHNBDmywKQ78zdmTI5+DymlmAKAJJuOGIntG8ns2KqyGslbGCxjXY+AMg4gim4Tv9IVJc+2anzHj2oFQ8fUDuDKYG8FY7a2tZrVkxlPpgyW/l20soHANO2vTescNxmF3NLPaosSu7lypIKYwA6wRQAZBzBFFzn/pZ+/bHraIXE4aGovrOxL8OvCECm7OyLaCgu85lV7FFVcXK2DZ8OKqYAIPnMmYLJrJaKMatuzQotAED6EUzBVSJRW//Z0u+47/UDwxl6NQAyrbXHfYPPJWmB3+uYU3JwMKp+5pQAwLRsOWK08SVxR76Y+gp25gMAtyGYgqs8805Iu4LOlpi2nrAOh2iTAfKROfh8qQsGn0tSgcfSQj878wFAMjUbg89T0bptVky1GQsgAID0I5iCq6xp7h/3/vWdfGkA8pHZ1rHUBYPPY2jnA4DkajEWI5aloWJqe29Ykag9wbMBAOlAMAXXaOke0Uv7hsZ9bN3B8e8HkNvcWjElJQ5A7yCYAoApGwzb2tFnvucnfzFiZrFXVXED1UMR6Z1+Kl4BIJMIpuAa901QLSVJ6w4yZwrIN1HbTpj94ZYZU1JixRStfAAwdVt7RhRfuHSS3yt/QWouVRLb+VhYAIBMIpiCK/QMR/XQtoEJH3+ra0RhyqyBvLK7P6L+uH3DKwotzSlxz8dWYjDFhQ0ATJXZxpeKwecxDEAHAHdxzzd85LW1bQOOC9CaEo+qi8f+eg6EbW0+wpwpIJ+YbXyNlQWyLGuCZ6dfrdHKx4wpAJg6c/D5shRWyCYGU3zHBIBMIphCxkVtW/c1Bx333dRYprNnFzruo50PyC+txuBzs/Ui0+qMiqldwQgDdAFgihJ25EtjxdRWKqYAIKMIppBxz+8Z0o642SwFHukTDWU6xwim1hNMAXklcfC5u4KpQKFHM+MG6I5EpT0DzJkCgKloNlv5Uvie31DhDL1o5QOAzCKYQsat2eKslvqb2hLNKfXqrFnOYOpNgikgr4zXyuc2Ce18vQRTAHCi+kai2hUce//0WInhUTItKvcqfq76wcGouoeiKfvzAADHRjCFjNreE9Zze4Yc992yzC9JOqO6UL64cTI7gxEdoBoByAu2bavVmPnR4LKKKUmqCzhf084gq+4AcKLMhYiTy30q9qVupqDPY2mx8f69rZf3bwDIFIIpZNR9Lc5qqTOrC/Tuv1RKlfgsnTrTuVq2rpOqKSAfHBiMqmd4bF5Tmc/SgjLvMY7IjFq/88KmnQsbADhh5nypphmpX4hYYgRTW7sZgA4AmUIwhYwJjkS1tm3Acd8tTX7HbXMAOnOmgPyQMPi80iePi3bki6kNOMOyjj6qOgHgRDV3m8FU6lu3zSpc5kwBQOYQTCFjHto2oN6RsYqIWcUe/U1dieM5Z89iZz4gHyUMPnfZjnwxtcbOfO19XNgAwIlqPpK+wecx9QxABwDXIJhCRti2rfua+x33fXxpmYq8zooIs2LqT4eGNRxhO3Yg17X2mDvyuW/wuSTVGcFUB8EUAJywlkxUTFVQMQUAbkEwhYx4ad+Q48LTZ0mfXFqW8LwFfp/mlY79NR2KSBsOMwMAyHXmRcpSFw4+l6S5pR4VxXXzdQ/b7OwEACfgyFBU+8nHRiIAACAASURBVAbG3jcLPEoYTJ4KS4xgakdfWCNRFj8BIBMIppARP9zirJa6alGJ5k0w2Pjs2UWO27TzAblvq9HK1+jSiimPZWmROQCdqikAmDRz8Hl9wKcCT+pnClYUejSnZOxSaCQq7eT9GwAygmAKadfRF9Yz74Qc992yLLFaKuas2cyZAvLJoVBEnaGx1fMir7TI774d+WLqys0B6FzYAMBkZWLweUw97XwA4AoEU0i7/2rpV3yh9IqqAr3HCJ/incPOfEBeMQefLwn45E3D6vlULUoYgM7OfAAwWS3m4PM0BlMNDEAHAFcgmEJaDYSjemCrs43vlqYyWcfYBv7UqgLHDJc9AxHtDvLFAchVZjDl1ja+GAagA8DUbTEqphrTOFPQnDO1lWAKADKCYApp9asdg+oeHquXmlFk6aMnlx7zmEKvpTNmGlVTnVRNAbmqtcd5kdLg0sHnMXUBZytfey8XNgAwGbZtq9momFqW1oopWvkAwA0mFUytWbNGF1xwgWbPnq1bb7113Od885vfVGVlpV588cXR+4aGhnTbbbdp4cKFamho0Pe+9z3HMS+99JLOOusszZ07V1deeaV27dqVlGPhTrZt64dbgo77bqwvU4nv+C065pypN2nnA3JWtlVM1dLKBwBT0hmK6nDcTqYlXiutMwWZMQUA7jCpYKqmpka33367brjhhnEfb29v12OPPaaamhrH/d/85je1Y8cObdy4UY8//ri++93v6r//+78lSYcOHdLHPvYx/a//9b/U3t6uM844Q5/85CeTcizc6fcHhrU5blXMY0n/o2nioefxzmbOFJA3Wo22jqUur5gyd+Xb0x/RcIQtxwHgeMwd+Roq0ztTcKHfq+K4HOzwUFSHQiwuAEC6TSqYWrlypa688kpVVVWN+/gdd9yhr33tayoocK5qP/TQQ7rjjjtUWVmppUuX6sYbb9TatWslSY8//rgaGxv1oQ99SMXFxfrSl76kTZs2aevWrdM+Fu60ptlZLXX5wmKd5J/cBefZs5zB1J8PjWgwzIUfkGt6h6PaOzC2eu61pJPL3R1MlfgszS0d+zi1Je1iDh4AHNcWc/B5mhciPJalxQHmTAFApk17xtRvfvMbFRQU6NJLL3Xc393drX379mnFihWj951yyilqaWmRJDU3NzseKysrU11dnZqbm6d1LNxpdzCsJ3aGHPfd0uSf9PFzSr2O0u6wLb19iKopINeYFwSLAz4Vet27I1+M2c7XQTsfABxXi1Ehm875UjHszAcAmTetZYlgMKg777xTv/71r8d9TJICgcDofYFAQH19fZKk/v5+VVdXO44JBAIKBoPTOnYibW1tJ/KruVa2/h7/0VGgiD32wX9yaVRzg7t0Ir9OY0mhdgbH/so+tWWvqnN4yHC2nmtMT76f95cOeCUVjd6e7wtlxX+TKrtQ8R+pb27fp0WDx39/yobfDcnBuc5PnPdj++O+IkljC4+BgYNqa9uf1tcwM1Igaew76psdnXqvtXdKP4vznT841/mJ8z499fX1Ez42rWDqrrvu0rXXXqva2tqEx/z+o9UwfX19Ki4uliT19vaqvLxc0tEqp1jQFNPX1ye/3z+tYydyrP8I2aKtrS0rf49Q2NZj6/dLGmvP+expVWpomNx8qZiLw0E929kzentHNKD6+pnJepmukq3nGtPDeZd6unskjS0yvGv+DNXXByY+wCVO6+/VkwfHPpcGSqpUX19xzGM43/mDc52fOO/HZtu2dr65T0cboI96//JFWjjJMQ/J8h7vgP7znSOjt7s85VP6fsn5zh+c6/zEeU+tabXyvfTSS/rhD3+ohoYGNTQ0aM+ePfrEJz6he+65R5WVlaqpqdGmTZtGn79p0yY1NjZKkpqamhyP9ff3q729XU1NTdM6Fu7z6/YBHYrbcSVQaOmaxSUn/HPOMuZMrTs4LNtmzhSQS7Jt8HlMXcLOfLlbzQkAybCnP6LekbHvceUFlhaUpW9HvpglxoypNuNzCACQepMKpsLhsEKhkCKRiCKRiEKhkMLhsB577DG9/vrreuWVV/TKK69o7ty5uueee/SpT31KknTdddfp7rvvVnd3t7Zu3aoHHnhAq1atkiRdeeWVam5u1qOPPqpQKKRvf/vbWr58uRoaGqZ9LNzDtm2tae533HdDfan8BSeeia6oKlCpb2zWTGcoqp1B5rgAuaSl2xnoZEswlTBjKofbjAEgGZqN9/vGSp8sK/0zBZdUGO/fwYiG2FkVANJqUunA3XffrZqaGn3nO9/Rww8/rJqaGt19992qqqrSnDlzRv/n8XhUWVk52lK3evVq1dXV6ZRTTtEHP/hB/f3f/70uvvhiSVJ1dbUeeOABff3rX1dtba3+8Ic/6P777x/9M6dzLNxjfeew3j40tvJkSbq5cfJDz+P5PJbOrHYOqHzzIAPQgVwxEI5qV1zYbEmqr0j/INypqAs4V/k7ghEqOgHgGJqPOCuTmjIw+FyS/AUeR6VW1JZ2sLgAAGk1qaXo1atXa/Xq1cd93saNGx23i4qKdO+99+ree+8d9/kXXHCB1q9fP+5j0zkW7nGfUS116YIi1QWmXgFxzuxCvbp/LIxaf3BY1y4unfLPA+AebT1hxUc5i8q9KvG5f0c+SZpZ5JHfZykYPvobDIRtHRyMak5p+ttSACAbmBVTTZWZW4ior/Bpd//YwkhbTzhjQRkA5KNpzZgCjuXAQES/6Rh03Hdz09SqpWLOmu2cM0XFFJA7WhPa+LLnosCyLNUaoXsHc6YAYEKJFVOZa9022/naenj/BoB0IphCyvyotV8jYzPPtTjg1UXziyY+YBLMAeibj4woGP+HAMha5uDzxorsmC8VU+t3Vke19zEDDwDGE7XthMWITFZMNRifN1t7GIAOAOlEMIWUGI7Y+lGrs43v5ia/PNMcajmz2Kv6uC8PUVt6q5MvD0AuMC9SGrJk8HmM2aZMxRQAjG9nX0SDcQPGq4o8ml2SucsSM5iiYgoA0otgCinx2M5BHRgcq2Ty+yytWpKcWVBm1dT6Ttr5gFzQ2mPu0JQ9rXySVGfszNdOMAUA49pitPFlake+GHOjjW09YTawAIA0IphCSqzZ4qyWun5JqQKFyfnrdo4xZ2rdwaGk/FwAmTMcsRN2Qcq2iqnacmNnPlr5AGBc5uDzZRkeND639OgGFjG9I7ZjgRUAkFoEU0i6t7uGtc6oYrq5qSxpP98cgL6+c1hRVrWArLa9N6y4rg7NL/WqvCC7PqLMiila+QBgfC3d7hl8Lh3dwMIcgL6Vdj4ASJvs+taPrPDDZme11IXzitSQxJacxkqfAgVjq1pHhmxt48sDkNUSd+TLrmopSVrg98ob14lyYDCqfjZnAIAEia18mW/dTpwzxQxTAEgXgikkVVcool+3DzjuuyWJ1VKS5LEsvduYM2VWaAHILubqeTYGUwUeSwvKnO18O4O08wFAvJGonTBcvMkF7/n1DEAHgIwhmEJS/aR1QENx12GL/F5duqA46X/O2QlzpgimgGxmtkwsdcHq+VSYO/O193JhAwDxdvSGFV9MWlPiUVWxd+ID0sSs7ieYAoD0IZhC0oSjtv6rxdnG96mmMnk9yd9lxQym1hNMAVktFyqmJKnW77y4Ymc+AHBqPmJUS2V48HnMkgAzpgAgUwimkDRP7gppz8BYuVSpz9LH6pPbxhfzrlmFio+7mrvD6h5ilguQjcLRxDlxSyuyM5gyK6Z2sjMfADhs6TbnS7nj/X5xwOf4bvlOMKKBMN8tASAdCKaQND/cEnTcvubkElUWpeavWEWhJ2EewVtdVE0B2WhnX0TDcd/9ZxW7o61jKmqNnfmomAIAp5Yj5o587qiYKvZZWlTu/OzZ3sviAgCkA8EUkmLT4RH9/oAzGLq5yZ/SP9Ns53uTdj4gK+VKG58k1RoXNR1UTAGAQ7OxC+sylwRT0jg783WzMx8ApAPBFJLivmZntdRf1RRqeVVqv2icxZwpICe0Gm18btg2fKrMiqmdwbAiUTtDrwYA3CUUtrW919zswj2LEUsqmDMFAJlAMIVpOzIU1cPbBx333ZLiailJOscIpv7QOcwFIJCFWnOoYqqi0KOquBbmkai0d4CqKQCQpLbesOK/qi30e1Ve4J7LkYYKduYDgExwzycBstbPtvZrMDL2LWNBmVcfPKk45X/u4oDPcQHYN2KrpZsvEMg+e/sj+uGWoN7q8ci28y9cbTX+3ZoXBtmmrtzcmY9gCgAkqdmYL7XMZQsR9WYrH8EUAKQFwRSmJRK1dV9Lv+O+TzaWyeexJjgieSzLSmjnW0c7H7LMs++E9O5fH9AX3+zRpzcW67rnD2tfHlXYRG07oVXCLTs0TZXZztfBAHQAkJQYTLmtdducMbWtN6xoHi4YAUC6EUxhWp7dHdKu4NhFdJFX+nhDadr+/LNnGcFUJ8EUssfP2vq16vlDGgiPfel99p2Q3vPIAT20bSAvqqeObsc99ntWFlqaXZLdH011BFMAMC5z8LlbduSLqS72qKJwbHF1IGxrT3/+LBYBQKZk97d/ZNyaZme11EfqSjUzjdu8mzvzrTs4lLY/G5gq27Z199u9+uyr3YqMkz31DNv69CtH8qJ6yqyWWlpZIMtKfcVlKpnbjbez3TgASEqsmGqa4a4KWcuyEnfmo50PAFKOYApT1to9ohf3OoOgW5rK0voazqwukDfuGnZ7b0SHQlwEwr0iUVu3v9Gjb/yp77jPzYfqqZYcGnweUxcwKqaCXNQAQHAkqp1xVfYey50zBesZgA4AaUcwhSm7z6iWOmd2oU6vLpzg2alRVuDRiirnFwjmTMGtBsO2Pv67w7rfmMtW5JV+cmGV/qFuWGbBYa5XT5mDz5e6bN7IVNT6zYopLmoAYKvxfl9X7lWJz30VslRMAUD6EUxhSnqGo3pw24DjvnRXS8WYc6bWM2cKLtQ9FNWHf9ulJ3aFHPdXFFp65NJqXV1bor+dH9YrV8/WObMTA95crZ4yL1SWVmR/xdS8Mq+K4rKp7mFb3UPRzL0gAHCBLUaFbJNLFyKWGJ9DZss5ACD5CKayyP4hSze+cEjPvDOocDSzF6Zr2wbUHzewuKbEo5W1JRl5LeacqTepmILL7A6GddlTnXr9gPPv5vxSr565YpbOrSkava++okBPXV6tr58VmLB66vrnD2t/DlRP2batlp7ca+XzWJYW+RmADgDxmo8YO7C6bPB5TGLF1MgEzwQAJAvBVBZ56qBXj+0M6br/PqzlD+/XV9b3JMxnSYeobeu+5qDjvpsay1TgyUw59llGMPWnrhGNZDi4A2K2HBnRpU92qsXciajSp2c/WD3ujkRej6XPriifsHrqmXdCOicHqqf2D0bVOzz2+v0+SwvK0rd5QirVmgPQCaYA5DnzO+syly5E1AV8iu8w3DcQVe8wVa8AkEoEU1nCtm09cWDsA/zAYFTf3RTUex45qPc/flD/1dKftlaRF/YMaUffWLVGgUf6RENm2vgkaZHfqzlx28sPhG1tPszqFjLvtf1DuuypTu0dcP7bfO+cQj19xSwt8B/7S3muV09tNS5S6it9Wb8jX0xtuVkxlZ3nCACSJXFHPndWTBV4rIRNLLYzKxAAUopgKku81TWid0Ljn663ukb0j693a+kv9ul/vHhYL+wJKZLCiqE1RrXU39SWaE5p5qocLMvSWcacKQagI9Me7RjUh3/b5agIkqSVi4r1yKXVqiya3NtvfPWUOU9Nyu7qKbOKLBfmS8WYwRQVUwDyWfdQ1LFI47OkxQH3vufXM2cKANKKYCpLvKu6QP95akg3NpSqvGD8ioKhiPT/tQ/qw789pFN/eUD/8laPtif5g3RHb1jP7R5y3Hdzkz+pf8ZUmO1O6xiAjgxasyWoT/zusIaMIpmbG8v0owuqVDyFXYjqKwr09BXV+pccqp4yd+RrdOkg3KmoM1r5qJgCkM+azQrZCp8Kve6tkK03QrO2boIpAEglgqksYVmWTgtE9d2/mqHW62r0w/fN0PvmFk34/D0DEf3bhqDe9esDuuzJTj2wtV99I9Nv9buvOaj4mowzqgv07lmZv5g050xRMYVMsG1b//JWj77wZo/M2qX/fWZA335PhbzTmMXm9Vj6+xyonrLto+22bxx0hty5MPg8xmwDoWIKQD5rMQafu7WNL6a+0qyYYkQEAKRS7lwF5JFSn0fXLi7VtYtLtSsY1oPbBrS2bUA7g+OvyL9xcFhvHBzWl97s0VWLivW39WU6r6ZQnhOc5RIciernbQOO+25p8rtiJszpMwtV4JFi2duuYET7ByKqyWCLIfLLSNTW51/r1tptzn8jXkv67l9V6m/rkzeHLVY99R9bgvrGH3sVivunH6ue+k3HoO45t9I1/wY6ByN6ce+Qnt8T0u/2DunAYGJQvjSHKqbMXfn29Ec0HLFdXSEAAKmyxaiYanT5QoS5M982WvkAIKXc/amA4zrJ79MXTw/ojtPK9fsDw/p524Ae7RjUQDixWmIgbOsX2wf1i+2DOsnv1fVLSnX9ktKEWSgT+cX2AfWOjP3c6mKPPlxXkrTfZTqKfZZOm1mgP3SOffFZd3BYK2vd8fqQ24IjUd30u8N6bo+zAqjUZ+knF1bpkgXFSf8zY9VTly0s1m2vdCe0r8aqp751TqWuXVyS9gB5OGLrjYPD+t2ekJ7fM6QNx9mQoKLQ0iK/O0K0ZCjxWZpb6tG+v8xUidrSO8GIFufQHC0AmKxsGXweU1/hfH3besOKRO1pVT0DACZGK1+O8FiWzqsp0vf/+mir3/fOq9R75yS2+sTsCkb0rbf7dPqvDuiqpzv14LYB9R+j1c+2bd3X3O+47xMNZSpy0er/2bTzIQM6ByO66pmuhFBqZpFHj19WnZJQKp5bZk/Ztq22nhH9YEtQ1z7Xpbq1+7TymS59Z2PwuKGU1zra6phrX/gZgA4AR5mbXSxzeYXsjCKPqovHLpOGo0e/OwMAUoOl2xxUXuDRDfVluqG+TDt6w1q7bUAPbRvQ7v7xP1Bf2T+sV/YP6wtvWPpQbYlW1ZfqPbMLHRUWL+8bcnyp8FrSTY3Ja01KhrNnFek/NBaerWcAOlKsoy+sDz/bpR3GYOtFfq9+fWl12qpjJlM99Z5HDuhb76nUNScnr3qqeyiql/YN6YW/VEVN9B4znjKfpb+eW6SL5hXp0oXFk67czCa15T69fmDsXHQQTAHIQ52DEXWFxhY/i71Sbbn7K2TrK3zqCo29h2/tCSfMDwQAJAfvrjnu5IBPXz4zoNWnl+vlfUNau21Aj+8cdMykiekbsfXTtgH9tG1AiwNerVpSpmsXl2iB36cfGtVSVy0q0fwyd32pMAeg/6lrWEMR21VVXcgdb3cN66PPHVJnyFlpeGpVgX55yUzNycBsp2PNnuoetvV3Lx/Rb9oH9Z0pzp4KR2291Tms5/cO6Xd7Qnqra0TRE5ixfvrMAl00v0gXzS/W2bMKc37eknnh1c7OfADy0BZj8HlDRUFWVMg2VDgXF9p6RvSBhamtggaAfEUwlSe8HksXzi/WhfOL1T0U1SPtg1q7rV/rO8dvsdneG9G//LFXX/9jr86fV6SX9znblG5pcle1lCTNL/NqQZl3tGpjOCptODSSEFgB0/XCnpBufOGwgsYstwvnFemBi6pUXpC5LunjVU89/U5Ir59A9VRHX1i/23N0aPnL+4Ycc+aOZ26pRxfOK9ZF84t0wbwiVZu9hjmuzqgCo2IKQD5q6TbnS2XH5Ue9UfXcxgB0AEiZ7PhkQFJVFnl0U2OZbmosU2v3iNa2DegX2we0f5xdsmxJL+51hlIrqgqOOb8qk86eXajd7YOjt988OEQwhaT6xfYB3fbKEZn7C1xzcom+d94M11QBTbV6qm8kqlf2Del3e4b0wt6QtvdOvsqn2CudO6dotCqqqdLnil07M8UMppgxBSAfJQw+d/l8qRhzAPpWgikASBmCqTy3tLJA/+esCv3vdwX0wp6jrX5P7RrU8MRz0HVLU5lrLzbPmlWoX8cFU8yZQrLYtq3/d1NQX/lDb8Jjn1vh19feHZDHZf8uJls99eUzA+oZtvX8npDWHRxOCN2OZdkMny76S1XUe+cUqcTnrv8GmWS28u3si8i2bde+fwJAKjQbg8/dviNfTAMVUwCQNgRTkCT5PJYuXVisSxcW63Aool/tGNTabQN6+5BzlWtmkUcfPbk0Q6/y+M4ZZ2c+LgQxXVHb1j+v69EPtvQnPPZ/n12hzyz3Z+BVTd7xqqduf6Nn0j9rZpFHF84/OrT8wvnFmpuBWVrZorrYI7/PGm357A/b6gxFNbuE/2YA8oNt22rO0la+k/xeFXo0uljbFYrqyFBUM4rY1BwAki07PhmQVlXFXt2yzK9blvm16fCIHtw2oCd2DsprSf/23kpXV0SsqCpQsVejF977BqLa3R/RQj9/1TE1QxFbn375iB7pGHTcX+iRfvDXM/RhFwe18Y5XPTWRAs/RwPei+cW6aF6RTp1Z4LrKMLeyLEuLyr3aHDf4t703TDAFIG/sHYiqd3isDNfvs7TQZZvnTMTrsbQk4NOWuIqvtp4RnT27KIOvCgByE1frOKYVVQX6xtkV+sbZFZl+KZNS6LV0RnWhYxeVdQeHCaYwJT3DUf3t84f06n5niBMosPSz98/U++Zm35fTY1VPjT3HpwvnHZ0VdV5NkfwZHOae7erKfY5gqiMY0TlzMviCACCNzPlSjTOya/bgkgpnMLW1J0wwBQApwNU6cs7ZsxKDqY9kSVUL3GPfQET/12+7HKGCJNWUePTLS6t1SlV2zMgYT3z11JfX96r5yIhOn1mg988v1gXzirSonI+GZKk1B6D3MqMEQP5IaOPLksHnMQ0VBZJCo7fbunkPB4BU4OoDOedsc84UA9Bxglq7R/SR3x7S7n5nOVF9hU+/umRmzgQ39RUF+sXFMzP9MnJaXcDZssLOfADySbOxuNOYJYPPY+orjQHoLC4AQErkxtUVEMcMpjYeGtFAOKpSH+1IOL43DwzpuucP6ciQc2u6s2YdDXGqirNjNgbcoc4IMXf2jdM7CQA5yqyYWlaZXZce7MwHAOnBlTpyzqwSr+ritmkP29KfukaOcQRw1FO7BnX1s10JodRlC4v16GXVhFI4YQmtfFRMAcgTUdtWq9H61pRlFVOLA4nt2CNRe4JnAwCmimAKOekso2pq/UHa+SZj/0BEv9g+oNbu/AvyftLarxteOJwwDPzGhlL97KIqKu4wJQv9Xnni5vweGIxqIBzN3AsCgDTZFYxoIDwW4lQWWppTkl2fpYFCj+aWjr3msM2sQABIhez6dAAm6RwjmHqTYOq4DgxEdPETnfq7l4/oPY8c1Pc3BzP9ktLCtm196+1eff733TIXQb94ern+n3Mr5fNkzw5CcJcCj6UFxtboHbTzAcgDW4wd+ZpmFGTVjnwx9RXOKi/a+QAg+QimkJPOmmVUTHUOy7YpvT6W72zsGx32bUtava5H92zoy+yLSrGobetLb/borj85f0+PJd1zbqVWnxHIyi/RcBdzzlQH7XwA8kCL0ca3LMva+GKYMwUAqUcwhZy0bEaB/L6xQKErFFU7VQoTOjgY0Y9b+xPu/9pbvfrmn3pzMtQbidr69CtH9MNm5+9d7JV+dlGVPrG0LEOvDLkmfuadJN6LAOSFZqNiqjHLBp/HLDGCqa0EUwCQdARTyEk+j6UzjaqpdbTzTeh7m4IJs5Vivvl2n+58K7fCqcGwrY+9cFgPbx903F9RaOk3H6jWFSeVZOiVIReZA9A7mE8CIA+M18qXjRIrpvJvDicApBrBFHLW2bMJpibjUCii+1sSq6XifWdjUP+8ricnwqme4ag+8tsuPfNOyHH/nBKPnrx8lt4zpyhDrwy5qi5AKx+A/BKO2gktb01ZWjFVP04rXy58HwIANyGYQs4626yY6iSYGs/3t/SrP27XnNklHj36gWoFCqyE593+Ro+iWfxlrHMwoque7tLvDzj/Lizye/XMFbO0oio7V3Phbov8tPIByC87esMajtuAdHaJRzOLvRMf4GLzy7wqjRsP0T1sqyvE7qoAkEwEU8hZZxkVU1uOjKhvhC8S8bqHolqzxbn73t8v9+v8eUV69LJqVRY6w6n7W/r1ude6FTG3r8sC7wTDuvypLm047CzBX1bp0zMfnJVQ1QIki/l3a1cwnJX/hgBgspq7zWqp7F348ViWlgSYMwUAqUQwhZw1o8jjmAsQtaU/UjXlsKY5qN6RsQvkqiKPbmo8OvT7jOpCPX75LFUXO98mftY2oE+/ckThLLqw3to9osue7NI2Y7bPWbMK9OQVszS3NDtXcZEdKgo9mlE0FvIOR6W9A1RNAchd5uDzphnZvfgzXjsfACB5CKaQ08w5U28yZ2pU30hU3zeqpW5b7pe/YOxt4ZSqAj1xebXmlDjfKn65Y1CffPGwhiPuD6f+1DWsy5/q0h4jCLhoXpF+84FqzSjibRCpV2cOQKedD0AOa+42gqksrpiSCKYAINW4IkNOM4Op9QRTo+5v7teRobFgqaLQ0qeayhKe11hZoKcun6X5RlXRYztDuvF3hzXk4nDq5X1DuurpLh0acrZwfqi2RA9ePFNlBbwFIj3MYKqdAegAcljzEaOVL8srptiZDwBSi6sy5LSEnfk6h7N6eHeyDISj+t5mZ7XU3y3zq6Jw/LeExRU+PXlFtU4yhjg/805Iq54/pMGw+/6bPrlzUB99rktB47V9vKFU958/Q0Vea4IjgeSrLXf+22FnPgC5aihia7vROt+Y7RVTxutnxhQAJBfBFHJaQ4VPFXEDvHuGE7cvzkc/bh1w7Cjj91m6dZn/mMfUlvv01OXVOtm4wH5+z5Cuea5L/S4aLL+2rf8v1VzO+//hFL/uObdSXg+hFNKrllY+AHmirSes+GLqBWVeBSZY+MoWiwPOOEtMZAAAIABJREFU7z47+yIKuXBRDgCyVXZ/SgDH4bEsnTWLOVPxQmFb393Y57jv5qaySc1aWuD36akrZmmpUdL+yv5hfeS3h9Q7nPlw6j82B/WZV7tldhj+n3cH9LV3V8iyCKWQfmYwRSsfgFyVMPi8Mrvb+CSp1OfRwriqcVtKqAoDAEwdwRRyHnOmnH7W1q/9g2MBUonX0m0rjl0tFa+m1KsnLq/WMmNexBsHh/U3z3apeygz4ZRt2/r6H3v1z+t6HPd7LOm7f1Wpz59SnpHXBUhSHa18APJEizn4fEZ2t/HFmHOmzJ1+AQBTRzCFnJcwZyqPg6nhiK17NjpnS93UWKrqYu8ER4xvVolXT1xWrdNmOr9svtU1opXPdOlQKL1tSlHb1h1v9Ohf/+ysBCvwSD+6oEo3NiQOdQfSaW6pV/GdLEeGbJFNAchFW46Y86Wyv2JKStyZb2s3A9ABIFkIppDzzqwuVPxIodaecMaqejLtoe0D2t0/FhoVeaXPrZhaJVFVsVePfqBaZ81yhlMbDo/oqqe7dHAwPeHUSNTWLS8f0X+29DvuL/NZevjimbq6tiQtrwM4Fq/H0iKjnW93iLZSALmn2QhsluVIxZQZTDGzFACSh2AKOS9Q6EmYb7C+M/+qpsJRW/++wVlRdGN9mWpKT6xaKl5lkUe//kC13jvHWZW2pTusDz7dpb39qQ2nBsJR/e3zh/SrHYPO11Vo6TcfqNaF84tT+ucDJ8Js59sT4iMYQG7pH4lqZ9zmDpakhpypmGJnPgBIlUl9K16zZo0uuOACzZ49W7feeuvo/evXr9eHPvQh1dbWavHixfr4xz+u/fv3jz5u27a++tWvqq6uTnV1dfrKV74i2x6bSLxhwwadf/75mjt3rs4//3xt2LAhKccCpnNmFzlu52M73692DDp2AivwSJ8/ZfKzpSZSXuDRry6ZqfPnOv8bt/WEdcXTndoVTM0Xt+6hqD7y20P67e4hx/01JR49dcUsnWW0cAKZllAxNUjFFIDcsrUnrPi9R2rLvSr15UYInzBjqifsuDYBAEzdpD4pampqdPvtt+uGG25w3N/d3a1PfOIT2rBhgzZu3Ci/36/bbrtt9PEf//jHevLJJ/Xqq6/qtdde07PPPqsf/ehHkqTh4WGtWrVK11xzjTo6OnT99ddr1apVGh4envaxgMkMKfItmIpEbf2bUS21akmpFviTs4pZVuDRQxfP1CXzneFUR19EVzzVpfYkDwg9OBjRlc906fUDzvNYV+7VMx+clTNtA8gtdUYwRcUUgFyzxdyRL4c+j+eUeBQoGFtQCIZt7RvIz9EQAJBsk/pWvHLlSl155ZWqqqpy3H/JJZfoQx/6kAKBgEpLS3XzzTfrzTffHH38wQcf1Gc/+1nNnz9f8+bN02233aa1a9dKkl599VVFIhF95jOfUVFRkT796U9Lkl5++eVpHwuYzjGCqbc6hxWJ5s8q12M7Bx2zELyW9D9PTe4udSU+Sz97/0xdcZKzfW53f0QffLpTbT3JGRK6sy+sy57s1KbDzp+3fIZPz1wxS7XludEygNxTa7TyMWMKQK5p6XYuRC2rzJ1gyrIsLUmYM8UAdABIhqQu1/7+979XY2Pj6O2WlhatWLFi9PYpp5yilpYWSVJzc7OWL18uyxr7Yr58+XI1NzdP+1jAVFfu1cyisb/uwbCtLd35MRsgatu629it7qMnl6QkwCnyWvrJhVX6G2Pg+N6BqD74dFfCSuqJauke0WVPdWpHn3N21TmzC/Xk5bM0ZxrzsoBUMyum9hJMAcgxzcbnfOOM3FosStiZjzlTAJAUSfu02LRpk7797W+PVjVJUjAYVCAQGL0dCAQUDAZl27b6+/sdj8U/Pt1jx9PW1jat388tcuX3yITlZYV6eWjsr/yTm3areK57v1Ak61y/eMirLUfGWuws2fpIxWG1tR1Kys8fzxfmS0P9hXqqc+y/98HBqC5/4oDuXRHSUv+JV6tt7vPo85uL1BN2Xsy/d0ZE31rcrc5d3eqc9ivPPP6N565wRJJKR2/vH7K0pbVNBXT05QX+beenfDvvGzqLFb/uXda7V21tuVOhPjPskzRWhf+HnV26wLdv9Ha+ne98xrnOT5z36amvr5/wsaQEUzt27NBHP/pRffOb39S55547er/f71df31ilRl9fn/x+vyzLUllZmeMxSert7ZXf75/2seM51n+EbNHW1pYTv0emXDjYp5cP947ebleF6uurjnFE5iTrXNu2rU81d0oaW8H8cF2pLjltwbR/9vH8dImt//l6tx7YOjB6X0/Y0m1bSvXIpdU6c9bkh5O/uDek2944rP6w88vth+tK9IO/nqFCb25UnvBvPPfVvL1P+wePziSJylJRTZ0WV+RWRQES8W87P+Xbee8eiurgq2Mhjc+S3n/K4pz5jJak9xQM6j92Hh69fdDyq76+WlL+ne98xrnOT5z31Jr2Ou2uXbt09dVX64477tB1113neKyxsVGbNm0avb1x48bRVr+mpiZt3rzZsZvF5s2b1dTUNO1jgfGcbcyZWp8HA9Cf2z2kPx9yltX/02nJnS01Ea/H0j3nVurmxjLH/T3Dtq5+tktvHBia4EinxzoGdc1zhxJCqU8uLdN978udUAr5oS7gDKE6UrRrJQCkW2u38/vG4oAv5z6jzVa+Nlr5ACApJhVMhcNhhUIhRSIRRSIRhUIhhcNh7d27VytXrtTNN9+sT37ykwnHXXfddfr/2bvvMKnK+/3j95m+u7O9sPQmCNJRiIKCgKAUBWPsPabYk1jyjam/GGMKGhMTE4OJGo0lmqgIFgQFVERFUYqC1EX69j479fz+ANk9s7vUXWZn5v26Li7Yc+bsPsvZmT3nns/neR566CHt2rVLu3fv1kMPPaTLLrtMknT66afLZrPp4Ycflt/v15w5cyRJ48aNO+ZjgZaMyHPK0eT6aEtNWCW+cOsHxDnTNDV7VbVl24wenuO6Yp3NMPT7UzN10yBrNWNN0NQFb5Tpnd0HD6ee3FCna5aUKxC16M0dQ9N1/2mZstsS64IXia+n1zoPWluvWAkAsbIuau7ORFqR7yt9Mhxqeumxoy6suiAr8wHAsTqsYGr27NkqLCzUAw88oOeee06FhYWaPXu2nnjiCRUVFel3v/udunbteuDPV6699lqdc845GjNmjE477TRNmTJF1157rSTJ5XLpqaee0rPPPquePXvq3//+t5566im5XK5jPhZoSarDpiG51oukFSWJWzX19m6/VpRY37284zhVSzVlGIbuGZWhO6JWAawLmbpwYane3NnQ4nF/XlOjW5ZVKnrxxHtGZeinJ2dYFj8A4kWziqmaxA3HASSX6AVOBibYxOfSvkVeekW9wbCJNxgA4Jgd1m+Mu+66S3fddVeL+370ox+1epxhGLr77rt19913t7h/2LBhWrp0aZsfC7RmVL5Ln5Q2Xjh9WBzQtB4pBzkifv0+aiW+s7u5NTwvNuGtYRj66ckZctulX3/SOK6GsHTpojI9MTFH53Tfdx5M09SvVlbrD6utixnYDOnBsVm6op+1NRCIJ9GrYW6t4YYGQGJYH10xlZV4FVOS1C/LaVkdeGNVSMNyeXMcAI4FawEhqXwtap6pDxN0nqn39vi1bI/1e7tzeEYrjz5+7hyeobtPsY4jEJGueLNcc4t8CkdM3ba8slko5bJJ/5qQQyiFuNc73fpOexHBFIAEsKkqqJVRVeiJWDElSf2j5pnawDxTAHDMEvM3BtCKUVHB1CelQQUjppwJNlfR7KhqqQld3DrlCFbBa0+3DkmX227o/z6oOrAtZErfXFKu0QUuLd9rvbD1Ogw9NSlH47t4jvdQgTbXO715K59pmrSmAohbZQ1hXbSwTLVNFinJchnNXu8SRbMJ0CsJpgDgWFExhaTSPc2uzqmNP/a+sKm15cGDHBF/PioJaPEu66TisZhb6mC+e5JXfxyTpaa34mFTzUKpHLdNL5+TRyiFhJHnsSmtySoMdSFTJQ1MnAsgPjWETF3+ZrmltU3atwKwI8He9PtKs2CKOaYA4JgRTCGpGIahUVGVQx8kWDtfdLXUmE4ujS10x2g0rbvmxDQ9dHqWWrtu7ZJq06vT8jSyg1R6AW3BMAz1imrnm7+t5QUAAKAji5imbnq3Qu9HXUddekKqbo5ajTeRRLfybaoKKmKarTwaAHA4CKaQdEZHtfOtSKBgalVZQAu2W29yfzi8Y1VLNXVZvzQ9Mi5b9qhwqm+GXa9Pz9eABJ04FcmtT9TKfLctr9TPV1QpHL0EJQB0YPeurNH/tvos204vdOlPY7ISuj0512NXjrvxFqohLG2vZYVVADgWBFNIOtHBVCJVTN0XVS01Kt+p8Z07XrVUUxf0SdXjE3KU7tx3ETsq36nXpuWrhzcx56YAvtEntdm2B9fW6sKFZarw09YHoOP798Y63bfaes3RL9Ohf0/MlSv63aYE1KydjwnQAeCYEEwh6QzLdcnV5Cd/R11Yu+ri/52udRVBzYtqCbpzWEZcvGt5bs8UrfpGJ707s0ALpuerIMV+6IOAODWzV4oeHJslp2GtkHprl18T5hXrswSb9w5AYlm6q0HfX1Zp2Zbnsen5ybnKcifHrQXBFAC0reT47QE04bYbGp4b1c5XEv9VU/dHvXM5LNepyd06drVUUzkeuwbnOGWLgyANOFZX9U/T34f4VZhi/TVcVBPWlFdKNLfI18qRABA76yuDunJxuZoswCePXXpmUq56JegqfC2JnmeKYAoAjg3BFJJSdDvfh3HezrepKqgXouZ5uGNYelxUSwHJakhGREvOK9DoqAn+60Kmrl5crl99nBjzTgUjpv60pkZnzS/WD9+vVDABvicgGRX7wrpoYZmqA9bn8MNn5GhUQXItVBJdMbWhikpXADgWBFNIStEXUB8W+2M0krZx/+paNb3XOynLoek9PLEbEIDDUphq17ypebqmf/N5p+5fXatLFpWpMo7nnfqiMqjJ80v0i4+q9VFJUHPW1eneldWxHhaAI1QfiujSRWX6MmqS71+ekqFZvVNiNKrYoZUPANoWwRSSUnTF1KqyoBpC8fkuflFNSM9trrdsu2NYOi1xQJxw2w39cWy2HjgtS86o38oLd/o1aX6x1lfG17vxEdPUw5/XavzLxfq0zDr2OevqmOQdiCMR09R3367Qx6XW5/LV/VN162BvjEYVWz3THZbX672+iGrJpgDgqBFMISl1TrWru7dxgu1ARFpVFp/tfH9cXaNwk0ytX6ZDM3sl37uXQLy7dkCa5p2Tp4Koeac2V4d11rwSzd8WH/NO7agN6fwFZfrRB1VqaGFdibrQvtAKQHz4xUfVzRZXmdjFrftOy0raKQOcNkN9oubU2ubjtgoAjhavoEhaX4tu54vDCdB31Ib01CZrtdRtQ9NltyXnhSIQ707t5NaScwt0cp7Tsr02ZOqKt8p17yfVipgds7rTNE09t7leY+YWa+nug7dH//3zWtUEqZoCOrpH19fpz2utQfJJWQ49NiFHziS/1ohu5yuqT+7/DwA4FgRTSFqj8uN/AvQ/ra1V03u7Xul2XdiHaikgnnVJs+uVqfm6vF/zead+/2mNLn+zXNWBjhXqlDeEde2SCn3n7YpmEyNnOA39cUyWslyNN22VAVOPra873sMEcAQW7WjQne9XWrZ1SrHpP5NzleniFqJZMEXFFAAcNV5BkbSaVUwVB2R20EqEluypD+uJDdYbu9uGpsuR5O9gAonA4zD0l7FZmn1qphxRT+nXtjforPkl2thBVoFatKNBY14q1ktFzVsNzyh0admsAl1zYpq+e5J1Lpq/fFYrX5zO7QckujXlQV2zuNwyVUCqw9B/zspVd6+j9QOTSHQwtc3H9RcAHC2CKSStQTlOpdgbLyL2+iLNVpvpyP68tlb+JsPtlmbXJX2bV1gAiE+GYejbA7166Zw85Xmsv643VIU0aV6JXt8eu3mn6oIR3b68Ut9YWKY9PmsFl9su3Ts6U3PPyTtwE/vdgWlKa5KyFfsiemojVVNAR7O7PqxLFpaptklwbEh6ZFy2hue5Wj8wyfTPsrZcUzEFAEePV1AkLafN0Mh860XFijiZZ6q0IazHvrDe0H1/iFcuO+/WAYnm9EK3Fp+br+G51ter6qCpSxeVa/anx3/eqRXFAY17uVj/bKEdb1iuU0vPK9CNg7yW1UFzPHZ9c0Ca5bH72pGpmgI6itpgRBcvLNPOeusbdfeOztT0nkwV0NQJGdaKqe0+QyFezwDgqBBMIamNjppn6oM4mWfqr5/Vqr7JO5mFKTZd0S/tIEcAiGfdvQ69Ni1fF/W13hiakn79SY2uXlx+XCYTD0ZM3bOyWme/WqLN1dYbV5sh3TEsXQun52tAVCXBV24a5JW7cUFUba8N6/nN9S0+FsDxFY6Yum5phVaXW9uEvz0wTdefxDVGtCy3zbKKasg0tK0mfirvAaAjIZhCUhsdNc/UijgIpir8ET2yzlqlcMuQdHmiJ6IBkFBSHIb+fka27h2dqejiyHnbGjR5fom2VIfa7euvrwzqrPklum9VjaKLAvqk2/X6tDz9dGTGQSs3C1PtzUL0B9bUKkyVARBzd31YpQXbGyzbzu7u0W9HZ8owuMZoSfQ8Uxs6yNx/ABBvCKaQ1EZFBVNryoOq6+BLmD/8ea1qgo03cXkem649kbmlgGRgGIZuHOTVC1NyleO2/gpfXxnShHnFWrSjoZWjj07ENPW3z2o1/uVirSprftP1zRPT9M7MAo0ucB/W57t1sNcSrG2sCmnetrYdM4Aj8/DntZoT9abX0Byn/jk+W3YWVWlV/6hgalNV+705AACJjGAKSS3PY1ffjMa+krApfdLCjVdHUR2I6OHPay3bbh7kVaqDpzKQTMZ38WjxufkanGNtmasKmLpwYZkeWF3TJquM7qgN6fwFZbrrwyrLYgvSvmXjn5+cqz+MyVKa8/Bfg3qmO3RhH2tL4v1tNF4AR+7VL32664Mqy7YuqTY9e1auvEfw3E5G/TKtr8EbCKYA4Kjw2wZJb1TUPFMfduB2vn+sr1NVoPHmLctl6LqBzPsAJKOe6Q69MT1PF/RuPu/ULz+u1jeXVBx1BahpmvrP5nqNmVuspbv9zfbP6pWi5bMKNLmb56g+/21D09W0BmNNeVALdzT/OgDa16elAX1raYWaxsJeh6H/TM5TlzR7q8dhn+hWvo0EUwBwVAimkPS+FtV+0lGDqbpgRA+ttVZL3TDIq3TezQSSVqrDpn+Mz9avTslQdLfNi0U+TXmlREU1R3ajVN4Q1rVLKvTdtytUHbBWMWW4DM0Zl63HzsxWjufob1r7Zzl1Xi9rqEXVFHB8ba8N6eJFZZbFVOyG9NiEHA3JaXkBA1g1n2OKYAoAjgZ3tEh60fNMrSgOdMibo0e/qFOZv7H6IcNp6LsDvTEcEYCOwDAM3TIkXf+dnKsslzWd+qxi37xTS3Yd3hxOC3c0aMxLxXqpyNds37jObr03s0AX9U1tk4mQbxuabvn4g+KAlu3tmG8MAImmOhDRxYvKtNdnrar8/amZR10JmYy6p9nVNKMv90dU1sDKfABwpAimkPQGZjmU7my8ySrzR7SlumNdVPhCpv4cVS31nYFeZbl5CgPYZ2JXjxafW6CTsqzv4Ff4TX39jTL9eW3rFUl1wYhue69SFy4s056oG1WPXfrN6Ey9dHauunkdLR5/NIblujS5q7Vi9f5VNW32+QG0LBgxdc3icn1eYa3uuXmQV9cN4A2vI2G3GeqbQdUUABwr7mqR9Ow2QydHzTP1QXHHmuvkyQ11Km5ys5jmMHTDIOaWAmDVO8OhN2bka2ZUm1zElH62olrfebtC9SFr8LSiOKAz5hbr0S+sK3JJ0rBcp5acV6AbBnlla4fl4m8bZq2aWrzLr5UlVE0B7cU0Tf3w/Uq9tct6nTOjh0d3j8qI0ajiW/+oCdDfaWFePgDAwRFMAZJGR7fzdaAbI3/Y1J/WWKulrhuQptxjmN8FQOLyOm16/Mwc/fzkDEVHSc9v8emcV0r1ZW1IgbCpez6u1tmvlmhLjbVK1GZIdwxL18Lp+RqQ1X5zzZzWya0xnayvv/evpmoKaC9/Xlurx76ot2wbmefUnPHZ7RI+J4PxXayVny21QgMADo5gCpA0ulnFVMcJpp7ZVK+d9Y03jR67dNMgSu0BtM4wDN02NF3/OStXGVHzTq0uD2rCyyWaNL9E962uUSSqu69Pul0LpuXrpyMz5LK3/43qHVFVU6982aB1FcF2/7pAsplb5NPPP6q2bOvutevZs3KV6uCW4GjN6OlR05fKzytC+qKS1zAAOBL8FgIknRIVTK2rCKk6cHTLrLelYMTUH6KqB67un6ZOqVRLATi0Kd09WjyjQCdGrRxV5o9oTXnzG6frBqTpnZkFzRaFaE8Turg1PNdalfUAVVNAm1pRHNB33y63bMtwGXp+cq4KUrimOBZ5HrvGdaZqCgCOBcEUICnLbdOAJhMGm5I+7gDtfM9trteXtY3VUi6b9L0h6Qc5AgCs+mY6tOjcfE3v0fpKW4UpNv13cq7uPy1Lac7je2lgGIZuj6qa+u9Wn4pqmEAYaAtFNSFd+maZmi4W5zCkJyfktGurbjKZ1SvF8vFLWwmmAOBIEEwB+0XPM/VhjIOpcAvVUlf0S1OXNN7ZBHBk0p02PTkxR3eNaB5sz+qVovdmFeisGC4RP72Hx/LmQMSU/kjVFHDMKv0RXbSwTKUN1irwB8ZkaXyX2D3nE82Mnh7Z1dgXva4ypPW08wHAYSOYAvYbFdXO92GM55l6scinzdWNb286DOl7Q5hbCsDRsRmG/m94hv5zVq5OyXfq5DynHhmXrcfOzFZOjBdTsBmGfjDUGpo9valeu+rCrRwB4FACYVNXvlWmDVXW6sPbh3p1ZX9W9m1LuR67RmVZwz+qpgDg8BFMAft9rYWV+SKm2cqj21fElO5fZa0WuPiEVPVMd7RyBAAcnrO7e7RoRoHePLdAF/ZNldFBVuK6oHeKenobA7JARPrLZ1RNAUfDNE19/71KvbPH+ibb13un6CcjM2I0qsR2Vp41AGSeKQA4fARTwH4nZDqU1WT1quqAqS8qYzPHyZIyu9Y1+do2Q7p9KHNLAUhcDpuh70fNoff4F/Uqa6BqCjhS962q0dOb6i3bvlbg0l9Pz5atg4TRiWZ8bliOJv+16ytDrDAKAIeJYArYz2YYzeaZWhGDeaZM09Q/t1snI/1G7xT1yaBaCkBiu6xfqgpTGi9N6kOm/vZ5XQxHBMSf5zfX69efWKsNe6fb9fSkHHkchFLtJcspndnFujrfi1RNAcBhIZgCmhhdYL2g+CAG80wt2NGgDXWNT01DarZiFQAkIrfd0M2DrXPpzVlXq6pApJUjADT13h6/bnq3wrIty2Xo+cm5yo3xXHLJYGYLq/OZMZoWAgDiCcEU0ET0BOjL9/i1pjyoDZVBFdWEtLMurNKGsKoCETWEzDafg8o0Tc3+1Pou58xeKTqR5ZwBJIlrT0xTjrvx8qQ6YOqf66maAg5lfWVQl79VpqY5rssmPTUpVydkch1xPMzomWJp59tQFbJMzQAAaBm9QUATJ+c7ZTP2TT4uSVtqwjpjbvFBj3EYkstuyGX76u99/3bbDTlthtx27f/b+hjn/se4bMaB42uDpj4utc5HQLUUgGSS5rTphpPSLK1If/2sVteflKZUB++nAS35tDSgC94oU4Xf+obZX07P1thCdytHoa1lu22a0MWthTv9B7a9uNWnk7IJBgHgYAimgCa8TpsGZTu1pvzwJ6sMmVIoZGrfFKNtW0E1tbtHQ3K4mAGQXL490KsH19aqJrjvNbW0IaInNtTr+pO8hzgSSD7v7/XrooVlqg5ar0HuGpGui/qmxmhUyWtW7xRLMPVSkU8/HpHeYVZABYCOiLcegSjf6JNy6AcdJz8cTrUUgOST5bbpWwPSLNv+vKZWgTBztQBNLd7ZoK+/0TyUum5Amn5IxXVMTO+RImeTO6yNVSF9VkE7HwAcDMEUEOWGk7z6yYh0ndbJpRF5Tg3KdqhfpkM9vXZ1TrUp121TunNfi157urBPikbkuQ79QABIQDcM8qrpXM0768N6dnN97AYEdDDztvl08aIy1YesodStg72679RMKnRiJGt/O19TL21ldT4AOBha+YAoLruhO4dn6M7hh36saZoKmZI/bCoY2fd3IGIqEDYViGj/36b8YSkYMffvb9weCMvyeH/EVDBsyusr002ndWn/bxYAOqiCFLuu6p+mOesaJz7/4+oaXXZCqhw2briR3P6zuV43vlOh6CLCn47M0O1DvYRSMTarV4re2NFknqmiev1kJO18ANAagingGBiGIaexb3LztrRxY7E8Di5eACS3WwZ79ej6OoWaLEgxt8inC/owbw6S1z/X1+r25VXNtv/2a5nMw9ZBTOuRIqetUsH9KyRurg5rbUWIeUMBoBW08gEAgA6pu9ehS06whlD3r65RxGSuKSSnP62paRZK2Qzpz2OzCKU6kCy3TRO7eizbXtpKKzIAtIZgCgAAdFg/GJKupkWpn1eEtGB7Q+wGBMSAaZq65+Nq/eKjast2hyH9c3y2ruyf1sqRiJXze1kX03lxq08moToAtIhgCgAAdFh9Mx2aFXWDd//qGm7wkDQipqkffVCl+1bXWLZ77NLTk3J1fm9aWzuiqT08cjW509pSE9bq8mDsBgQAHRjBFAAA6NBuG2pd9v6jkqDe3u1v5dFA4ghHTN2yrFJ/b7IIgCR5HYaen5ynKd09rRyJWMt0tdTOx+p8ANASgikAANChDc5x6uyoG/D7V9fGaDTA8REIm7puaYWe2midmyjLZWjuOXk6o7M7RiPD4Tq/t7Xa86Ui2vkAoCUEUwAAoMO7I6pq6u3dfq0oDsRoNED7qg9FdPmbZXqpyFrguHWdAAAgAElEQVRhU5Bi0ytT83VyvitGI8ORmNrdI7e98eOtNWGtKqOdDwCiEUwBAIAOb1SBS+OiKkTuj5pzB0gE1YGIvvFGmRbutLardkuz67Wp+RqU44zRyHCkMlw2TYpu5yuinQ8AohFMAQCAuHD7UK/l49e3N2gtkwkjgZQ3hDVrQane22utBuybYddr0/LUN9MRo5HhaLE6HwAcGsEUAACIC+M6u3VKvrVa5A9UTSFB7KkPa8ZrpVpZag1bT8p26LVp+eruJZSKR+f0sLbzbasN61Pa+QDAgmAKAADEBcMwmq3Q9+JWnzZVcZOHRhHT1PxtPs0t8qnSH4n1cA7Ll7UhTXu1RJ9XhizbT8l36pWp+SpIsbdyJDq6dKdNZ7E6HwAcFMEUAACIG+d09+ik7MbKEVPSH9ewQh/2CUdMXfZmua54q1xXLy7XwP/s0fVvl+u9Pf4O2z61qSqoqa+UaktN2LL9jEKXXjw7T9luLtfjXfTqfC+yOh8AWPCbDgAAxA2bYej2qKqpZzfVa3ttqJUjkEx+/Um1Xt/ecOBjX9jUs5t9mvZaqUa9UKwH19So2Bc+yGc4vtaUBzX11VLtrLeO6exubj03OU/pTi7VE8HZ3T3yNCl6+7I2rE9KqfQEgK/w2w4AAMSVWb1S1Ce98S4vZEp/XkvVVLKbv82nP6xu/edgU3VIP/+oWif9Z4+ueqtMi3Y0KByJXdXKiuKAZrxWopIGa7vh+b1S9OTEXKU4jBiNDG0t3WnT5G7Wdr4XWZ0PAA4gmAIAAHHFbjP0/aiqqSc21HWoShgcXxurgrrhnYrDemzIlF7e1qBvLCzTsP/u1W8+qT7uFXdLd/k1a0GpqgLWYOzKfqn6x/hsueyEUomG1fkAoHUEUwAAIO5c0jdVXVMbq6YawtLfPqNqKhnVBiO68q1y1QQbb/IdhvTq1Dy9MCVXs3qlqLWOuB11Yf3u0xoNfX6vvvFGqeYW+RQIt29Y8Pp2ny5aVKq6kPXr3HBSmh4cmyW7jVAqEU2JaufbURfWx7TzAYAkgikAABCHXHZDtwzxWrb9Y31d3KzChrZhmqZuebdS66NWs/v16EyNKXRrYlePHp+Qo3UXF+pXozLUP9PR8ueRtGinX1cvLteg5/bo5yuqtLEdVnt8YUu9rnizXP6o4r4fDk/XvaMzZRiEUonK67RpSjdW5wOAlhBMAQCAuHRV/1TleRovZWqCph5ZR9VUMnnos9pmc/Vc1CdF3xmYZtmW57HrlsHp+uD8Ar0+LU+XnZCqlFba5UoaInpwba1GvVCsqa+W6JlN9aoPHXvg+cSGOl23tEJRhVL61SkZ+vGIDEKpJBC9Ot9LrM4HAJIIpgAAQJxKddh04yBr1dTfPq9TbZCqqWTwzm6/fvFRtWXboGyH/jg2q9WQxzAMndrJrb+eka31lxTqD6dlaXius9WvsXxvQDe8U6EB/9mjO5ZXalVZ4KjG+tBntbp1WaWaRhCGpD+OydItQ9JbOwwJZko3jyUQ3VEX1kcltPMBwGEFU3PmzNGZZ56pgoIC3XDDDZZ9S5cu1ahRo9S5c2fNmDFDX3755YF9fr9fN910k7p3767+/fvrL3/5y3E5FgAAJIfrBqQpw9V4o1fuj+hfG+pjOCIcDzvrwvrmknI1nQ4qw2XoyYm5SnUc3vuumS6bvjkgTUvOK9DS8/L17aifpaaqA6b+sb5O418u0fiXi/XP9bWqChw6ADVNU7/7tFo/+bDKst1uSHPGZeuaE9NaORKJKM1p09ndo1fn4/UKAA7rN3dhYaHuuOMOXXHFFZbtZWVluvLKK/WTn/xEW7du1YgRI/TNb37zwP7f/va32rJli9asWaN58+bpwQcf1KJFi9r9WAAAkBwyXTZ9Z4C1auova2vkb+cJrBE7gbCpaxaXqaTBGgzNGZetPhktzyF1KMNyXZp9WpbWX1yoh8/I1phOrlYfu6osqNuXV2nAs3t0wzsVWr7X32I7lmlKP1tRrd98UmPZ7rJJT0zI0YV9U49qrIhv0e18c7c2KEI7H4Akd1jB1HnnnacZM2YoJyfHsn3evHkaMGCAZs2aJY/Hox/96Edau3atNmzYIEl69tlndeeddyorK0snnniirrrqKj399NPtfiwAAEgeNwxKU6qjsdJld31ET2+kCiFR/fjDKq2Ian/64fB0ndM9pZUjDl+qw6ZLTkjVq9PyteLrBfreYK/yPS1fLvvCpp7ZVK+pr5Zq9IvF+vOaGpX49s1qHo6YuneTS3+JWiky1WHoucm5mt7z2MeK+DS5m9vyerWzPqyPSo6uRRQAEsXRva2037p16zR48OADH6elpal3795at26dCgoKtHv3bsv+IUOG6NVXX23XY/v379/iWDdu3Hgs32qHkSjfBw6Nc52cOO/JhfPddmYVOPX0rsa5gmavLNeptl1ydJD5pDnXbeOVvXb9Y6Pbsm1MdlgXpO3Vxo172/zrXZElXTxSeqfcrrl7HVpeYZOp5j9UG6tC+tlH1frlx1UanxNWWNKSMutlttdu6o8nNahr3Xbx45CYDvd5PibLpUWljT8fj32yW9l9mGsqnvCanpw478emX79+re47pmCqrq5OeXl5lm0ZGRmqra1VbW3tgY+b7qupqWnXY1tzsP+EeLFx48aE+D5waJzr5MR5Ty6c77b10y5h/fe/e/TVtD+7/DattnfVxR2gXYpz3TZWlQX02+Ullm09vXY9NbWzst3tu57PSZK+K2l7bUhPb6rXkxvqtaMu3OxxIdPQm2XNL6/zPDa9MCVXQ3NbbxFEfDuS5/mVTp8WLS4/8PHSSrceOqGnbKzMGBd4TU9OnPf2dUy/xdPS0g6ERV+pqamR1+uV1+s98PFXqqurlZ6e3q7HAgCA5NMlza7LTrCGUA+srmHulgRR4Y/oqrfK1dAkC/LYpScm5rR7KNVUd69D/zc8Q6u+0Un/m5Krmb08ch7iy3dJtenVqXmEUjhgcje30pqUc+6qj+jDYtr5ACSvY/pNPnDgQK1du/bAx3V1ddq6dasGDhyorKwsFRYWWvavXbtWAwYMaNdjAQBAcvrekHTZmhQcrK8M6ZUvG2I3ILSJcMTUt5eWa1uttULpgTHZGhajsMduMzSpq0f/mpCrzy8q1K9GZahfZvNKqV7pdr02LV/9s5wtfBYkq1SHTedEr8631Rej0QBA7B1WMBUKhdTQ0KBwOKxwOKyGhgaFQiHNmDFD69at09y5c9XQ0KDf//73GjRo0IF5ni655BLNnj1blZWV2rBhg5544glddtllktSuxwIAgOTTO8Ohb0SteHX/qpoWV0xD/Pjdqhot2um3bPvWgDRdekLs2zQlKT/FrlsGp+vD8wv02rQ8XdI3RX0z7JqYG9Jr0/LVM/2YZs5AgpoV9Vr18jYfFZ4AktZhBVOzZ89WYWGhHnjgAT333HMqLCzU7NmzlZeXpyeeeEL33HOPevXqpY8++kj//Oc/Dxx31113qXfv3hoyZIimT5+uW265RWeddZYkteuxAAAgOf1gaLrl40/Lglq8y9/Ko9tfMGKqISxuOI/S69t9+v2n1ukbRue7dO/ozBiNqHWGYei0Tm49PC5HH19QqN8NDKhzqj3Ww0IHdVZXj7xRq4l+QDsfgCRlVFZWcqUUJ5hwLXlwrpMT5z25cL7bz+Vvllla+MZ0cunVafnt9vX8YVNFNSFtqQ5pS01439/7/2yvCyuy/0or1WEoxW4oxWEodf+fZv/evz/NYVOK46t/Gwf+feCx9sZ/7zvWJo99XziSKLZUh3TmvGJVBxovVfM9Ni09r0Bd0jp+4MNzPLkczfn+1tJy/XdLYwvfdwam6fenZrX10NDGeG4nJ857+6K2GAAAJJTbh6Zbgqn39ga0fK9fp3VyH/XnbAiZKqrdFzZtrg5pa3VYm6tD2lIT0o7asA7nXb76kKn6kCm1UwGXIR0IuL4KtLxOQ2d29uiWIV5luo7fJOHHqi4Y0RVvlVlCKbshPTYhJy5CKeBwzOqVYgmmXi7y6TejM2W3JU7ADACHg2AKAAAklJH5Lk3o4ra08P1hVY2en3LwYMoXMrV1f+XT1v0B1FcVUDvrDi98iiVTUl3IVF3IOtKPSoJ6bku95ozL1qnHEM4dL6Zp6vvvVerzipBl+y9PydDphR1//MDh+qqdr3b/c3aPL6L3iwMay885gCRDMAUAABLO7cPSLcHUwp1+fVoaUP8sh7ZWh7WlJmRpudtSHdbO+vBBPuPRcxmmAmZsKyC+rA1r2mulum1ouv5veLqcHbgiY866Oj2/xbpC2dd7p+imQd4YjQhoHx6HoWk9PHquyc/7S0U+gikASYdgCgAAJJyxnVw6tcCl95tMJjz11VL5wu1T99Qtza4+GQ71Sd//9/4/vdLt2rl1s/r0PUG+sCnf/na++tD+f4dN1QdN+cJfbY807mv6uK/+vf/x9WFTvlBEvv0VUr6QqUDk4GOMmNJ9q2q0eGeDHhmfoz4ZHe8ycPlev37yYZVl28Ashx4cm5VQ82cBX5nZK8USTL1c5NNvaecDkGQ63hUJAADAMTIMQ7cNTddFi8oObDuWUMqQ1DXNrr4ZDvXJ+CqE+ip8cijFcfCbSLvNkNdmyOs86iEcUijSGGT5wqbqgqae3Finhz+vszzu49KgzphbrN98LVNX9kvtMIHPnvqwrllcrqadiOlOQ09OzJHXGT/zYwFHYlJXj9KdhmqC+37w9/oiWl4coG0VQFIhmAIAAAlpcje3huQ4taY8eFiPNyR19+4LnfpmONQ7vfHfPb0OeQ4RPsWaw2Yow2Uow9W47bdfy9Lkbh7d+E6F9voaS6rqQqZuXVapN7Y36MGxWcrxxHZC8WDE1LVLyi1jlKS/nZGtEzLbMc0DYszjMDS1h0fPbW7SzrfVRzAFIKkQTAEAgIRkGIYeGJOlma+XHpgQ3GZI3Q9UPjnUO8Ohvhl29Ul3qGe6Q257xw6fjsakrh4tm1WgW5dV6tUmqxVK0vwvG/RxabH+enq2JnT1xGiE0k8/rNLyvQHLttuGejWjZ0qMRgQcP+f3SrEEU3OLfPrd12jnA5A8CKYAAEDCOiXfpdUXdtIXlSHlp9jU0+uQKwHDp0PJ89j11MQcPbGhXnd9WKX6Jv1yu+sjOv+NMt04KE0/H5l53CvDnt9cr7+vs7YbTuji1k9GZBzXcQCxMrGrRxlOQ9X72/lKGiJatjegcZ2pmgKQHGjYBwAACS3XY9eYQrf6ZTqTMpT6imEYuvrENL19Xr5G5DVvj/vrZ3WaOL9Yn1ccXutjW/isPKjvvVdp2dYtza5/jM+mWgRJw23ftzpfU3OLfK08GgASD8EUAABAEjkh06k3pufr9qFeRUc/n1eENGFesf72Wa0iZvusYPiVSn9EV7xVZqnectulJyfmKDfGc14Bx9us3ta21ZeLfApF2vc5CAAdBcEUAABAknHaDP3s5EzNn5qnbmnWEMgflu76sEoXLizTnvpwu3z9iGnqu+9UaGuN9fPPPjVLI/JcrRwFJK4JXTzKcDVGxSUNES3bEzjIEQCQOAimAAAAktTYQrfenVmgC/s0n2T8zZ1+jX2pWK9sa/uWovtW1WjBdutE7Ff3T9VV/dPa/GsB8cBtNzS9h/V5+FJRfYxGAwDHF8EUAABAEsty2/TI+Bw9Mi5bGU5rc1+ZP6LL3yrX95dVqC4YaZOvt3BHg37zSY1l28g8p35/alabfH4gXp3fK7qdr4F2PgBJgWAKAAAAurBvqt6ZWaDTOjVvpXt8Q73Gv1yiT0qPrbWoqCakby8tV9Nb7Vy3TU9MyJE7iSemByTpzC5uZTZp5yvzR7Rsjz+GIwKA44NgCgAAAJKknukOzT8nTz8bmSFHVE60qTqkyfNLdP+qGoWPoorDFzJ15Vvlqgw0HmszpEfPzFY3r+NYhw7EPZfd0Iye1qqpF7eyOh+AxEcwBQAAgAPsNkO3D0vXG9Pz1TfDOjF6yJR+tbJaM14v1Ze1ocP+nKZp6rbllVpTHrRs//nIDI3v4mmTcQOJYFZ0O9822vkAJD6CKQAAADQzMt+lt88r0DX9U5vtW743oNPnFuv5zYc3OfOjX9TpmU3Wx57b06PvDfG2yViBRDG+s1tZTdr5yv0RvbObdj4AiY1gCgAAAC1Kc9r0x7HZempijnLc1svG6oCpb79doW8vLVdVoPWJ0T8s9utHH1RZtvXPdOih07NlGMwrBTTVYjtfEe18ABIbwRQAAAAOanrPFL03q0CTurqb7Xt+i0+nzy3Wey1M0lzsC+vqxeVquqCf12HoyYk5ynBxGQq05Pze1mBq/rYGBWnnA5DAuCIAAADAIRWm2vX85Fz99muZclunntL22rBmvF6qX31cdeAGOhQx9c0l5dpdb62meuiMbJ2Y5TxewwbizrjObmW7aecDkDwIpgAAAHBYbIah60/yavG5BTop27qSXsSU7l9dqymvlGhTVVD/76NqvbsnYHnMLYO9mhk1uTMAK6fN0IwerM4HIHkQTAEAAOCInJTt1FszCnTjoLRm+z4pDer0ucX6y2e1lu1nFLr0i5MzjtcQgbgW3c43b5uPdj4ACYtgCgAAAEfM4zB07+gsvTglV4Up1kvKhrD1sV1T7Xr0zBw5bEx2DhyOMzq7LQsOVAZMLd1FOx+AxEQwBQAAgKM2oatHy2YVaEYPT4v7XTbpXxNzlJ9ib3E/gOacNkPn9rQ+p1idD0CiIpgCAADAMcn12PXkxBw9ODZLaQ5rVdTvvpalU/JdMRoZEL+i2/le2eZTIEw7H4DEQzAFAACAY2YYhq7qn6a3zyvQ9B4e9Um361ejMnTNiamxHhoQl04vdCs3up2P1fkAJCDHoR8CAAAAHJ6+mQ49NSk31sMA4p5jfzvf4xvqD2x7catPk7u13DYLAPGKiikAAAAA6ICi2/nmf0k7H4DEQzAFAAAAAB3Q2EK38jyNt2zVAVOLWZ0PQIIhmAIAAACADshhM3ReT2vV1EuszgcgwRBMAQAAAEAHNSt6db4vffLTzgcggRBMAQAAAEAHNbaTS/nN2vkaYjgiAGhbBFMAAAAA0EHZbYbO62WtmnpxK+18ABIHwRQAAAAAdGCzooKp175soJ0PQMIgmAIAAACADmxMJ5cKUpq08wVNvbWTdj4AiYFgCgAAAAA6MLvN0Myo1fleZHU+AAmCYAoAAAAAOrjo1fle+7JBDSHa+QDEP4IpAAAAAOjgTi1wqVOTdr6aoKk3aecDkAAIpgAAAACgg2tpdb6XaOcDkAAIpgAAAAAgDpzfwup8Ptr5AMQ5gikAAAAAiAOndnKpsEk7X22Idj4A8Y9gCgAAAADigM0wNJN2PgAJhmAKAAAAAOLE+S2szkc7H4B4RjAFAAAAAHFidIFLXVIbb+PqQqYW7qCdD0D8IpgCAAAAgDhhM1idD0BiIZgCAAAAgDgSvTrfgu0Nqg9FYjQaADg2BFMAAAAAEEdGFbjUNdV+4ON97Xz+GI4IAI4ewRQAAAAAxBGbYWhmb49l290fV2n2p9X6qCSgcITJ0AHED4IpAAAAAIgz5/dKtXy8uTqsX39So7Pml6jPM7t15VtlenR9nbZWh2I0QgA4PI5YDwAAAAAAcGROyXeqb4Zdm6vDzfZVBUzN29agedv2rdbX02vXhC5uTejq0bjObmW7qU8A0HEQTAEAAABAnDEMQ4+My9Etyyr0WcXBq6K21Yb1+IZ6Pb6hXoakEXlOTeji1pldPBpd4JLbbhyfQQNACwimAAAAACAOjcx3admsTvqyNqQlu/xavNOvpbv9Kve3vkKfKWllaVArS4O6f3WtUh2GxnZy6cyuHp3Z2a2Tsh0yDIIqAMcPwRQAAAAAxLEeXoeu6u/QVf3TFDFNrS4LavEuvxbv8uv9vX4FWs+pVB8ytXCnXwt37lvVr1OKTeO7uDWhi0cTurhV2GT1PwBoDwRTAAAAAJAgbIah4XkuDc9z6QdD01Ufimj53oAW7/Rr8a6GQ7b97fVF9Nxmn57b7JMkDcxy6Mz9QdXYQpfSnMxPBaBtEUwBAAAAQIJKddg0qatHk7p6JGWq2Bfe1/a3y68luxq0u/4g5VSS1lWGtK4ypL99XienTRpd4NKELh5N7+HRwGzn8fkmACQ0gikAAAAASBIFKXZd1DdVF/VNlWma+qIqpMU794VU7+4JqC5ktnpsMCIt2xPQsj0B3bOyWpO7uvW9oeka28nFvFQAjhrBFAAAAAAkIcMwNCDLqQFZTt0wyKtA2NSKksCBaqqVpUFFWs+pDsxNNSrfqe8NSde0Hh7ZCKgAHCGCKQAAAACAXHZDYwvdGlvo1k9HZqjSH9Hbu/37W/8atLUm3OJxK0qCuuKtcvXPdOjWIV5d1CdVLjsBFYDDQzAFAAAAAGgmy23Teb1SdF6vFElSUU1IS3b59fTGen1YEmj2+A1VId38bqXuXVmtGwd5dfWJaUpnsnQAh8CrBAAAAADgkHqlO3TNiWlaMD1Pr07N05Ru7hYft6s+op+uqNbg5/bonpXVKm1oudIKAKQ2Cqa2bdumCy+8UD179lT//v115513KhTatwzp6tWrNX78eHXu3Fnjx4/X6tWrDxxnmqZ+8YtfqHfv3urdu7d+/vOfyzQbm5iP5VgAAAAAQNszDENjCt16bnKels0s0EV9U9RS515VwNR9q2o0+Lk9unN5pYpqQsd/sAA6vDYJpu644w7l5eXpiy++0DvvvKNly5bpH//4hwKBgC677DJddNFFKioq0qWXXqrLLrtMgcC+ss/HH39cr7zyit59910tW7ZMCxYs0GOPPSZJx3QsAAAAAKD9Dcpxas64HK28oJO+MzBNKS0kVA1h6ZH1dTr5f3v17aXlWlMejMFIAXRUbVYxdf7558vj8ahTp06aNGmS1q9fr3fffVfhcFg33nij3G63rr/+eknS22+/LUl65plndPPNN6tr167q0qWLbrrpJj399NOSdEzHAgAAAACOn57pDv3+1CytuaiTfjg8XVmu5gFV2JSe3+LTGXOLdeEbpXp3j5+uFwBtE0xdf/31+t///qf6+nrt2rVLixYt0qRJk7Ru3ToNGjRIRpMlQwcNGqR169ZJktavX6/Bgwcf2DdkyBCtX79eko7pWAAAAADA8ZfnsevHIzK09qJC3Ts6U11T7S0+buFOv2a8Vqopr5Ro/jafIgRUQNJqk1X5xo4dq3/961/q3r27wuGwLr30Us2YMUOzZ89WRkaG5bEZGRmqra2VJNXW1lr2f7XPNE3V1dUd9bFNw6yvbNy4sS2+1ZhLlO8Dh8a5Tk6c9+TC+U4enOvkxHlPLpzv5ia7pDOHSwtK7Hpih1Nbfc3rIlaUBHXFW+XqlRLRld2CmpofVkdfyI9znZw478emX79+re475mAqEonoggsu0DXXXKM33nhDdXV1uummm/SLX/xCnTp1Uk1NjeXx1dXV8nq9kiSv12vZX1NTI6/XK8MwlJaWdtTHtuRg/wnxYuPGjQnxfeDQONfJifOeXDjfyYNznZw478mF831wJ50ofc809fr2Bv1xda0+LAk0e0yRz6ZfbXTrnzttunGQV1efmKb0DphQca6TE+e9fR3zM72iokI7duzQt7/9bbndbuXk5Ojyyy/XwoULNXDgQH322WeWvuHPPvtMAwcOlCQNGDBAa9euPbBvzZo1GjBggCQd07EAAAAAgI7DZhia1iNFC6bn6dWpeTq7m7vFx+2qj+inK6o1+Lk9umdltUp84eM8UgDH2zEHU7m5uerZs6ceffRRhUIhVVZW6plnntHgwYN1+umny2az6eGHH5bf79ecOXMkSePGjZMkXXLJJXrooYe0a9cu7d69Ww899JAuu+wySTqmYwEAAAAAHY9hGBpT6NZ/Judp2cwCXdQ3RS0s5KeqgKn7VtVoyPN7dMfyShXVhI7/YAEcF21SG/nkk09q0aJF6tu3r0aOHCmHw6F7771XLpdLTz31lJ599ln17NlT//73v/XUU0/J5XJJkq699lqdc845GjNmjE477TRNmTJF1157rSQd07EAAAAAgI5tUI5Tc8blaOUFnfSdgWlKaSGhaghL/1hfp5P/t1ffWlquNeXBGIwUQHsyKisrWf4gTtDXmjw418mJ855cON/Jg3OdnDjvyYXz3TZKG8Kas65Oj6yrVYW/9dvUs7q69aMRGTol33UcR7cP5zo5cd7bV8ebTQ4AAAAAkHTyPHb9eESG1lxYqHtHZ6pbmr3Fxy3a6dfk+SW68/1K1QQjx3mUANoawRQAAAAAoMPwOvetzLfygk766+lZGpDVfDF5U9Ij6+p06gvFeu1L3/EfJIA2QzAFAAAAAOhwXHZDl/VL03uzCvT0pBx9raB5697O+rAufbNc1ywu1956VvAD4hHBFAAAAACgw7IZhqb1SNGC6fl6YUqueqU3b/F7qcin0S/u1RMb6mSaTKMMxBOCKQAAAABAXJjY1aP3ZhXoe4O9il7Erypg6tZllZrxeqk2VbF6HxAvCKYAAAAAAHEj1WHTL0dl6q1z8zU819ls/7I9AY2dW6z7VtUoEKZ6CujoCKYAAAAAAHFnWK5Li2bk655RGUp1WMun/GHpnpXVOvPlYn1UEojRCAEcDoIpAAAAAEBcctgM3Tw4Xe/NKtCkru5m+z+vDGny/BL98P1K1QQjMRghgEMhmAIAAAAAxLVe6Q79d3Ku5ozLVq7beptrSpqzrk6nvVis17f7YjNAAK0imAIAAAAAxD3DMHRR31R9+PUCXdI3pdn+HXVhXbKoXN9cUq5iXzgGIwTQEoIpAAAAAEDCyPXY9fC4HL04JVc9vfZm+1/Y6tPoF/bqyQ11Mk0mRwdijWAKAAAAAJBwJnT1aPn5Bbp1sFd269zoqgyYumVZpc57vVSbq0KxGSAASQRTAAAAAIAEleqw6e5RmXrr3HwNy3U22//OnoDGzN2rP6yuUaY2pTwAABpFSURBVDBC9RQQCwRTAAAAAICENizXpTdn5OtXozKUElU+5Q9Ld39crTNfLtbHJYEYjRBIXgRTAAAAAICE57AZumVwupafX6CJXdzN9n9WEdJZ80v0ow8qVRuMxGCEQHIimAIAAAAAJI1e6Q79b0qu/j4uWzlu6y2xKenhz+t06ovFemN7Q2wGCCQZgikAAAAAQFIxDEMX903Viq8X6OK+Kc3276gL66JFZbpuSbmKfeEYjBBIHgRTAAAAAICklOux6+/jcvTClFz19Nqb7f/fVp9Gv7BX/95YJ9NkcvRk4guZ+uH7lerx1C7NXOHR1YvL9Kc1NXp7t1/VAVo925Ij1gMAAAAAACCWJnb16L1ZBfrtpzV66LNaNV2grzJg6uZ3K/XcZp++38VQv9gNE8fJxqqgrl5crs8rQpKkatk0t6hBc4sa2zv7ZTo0Is+pkXkujch1amiuSykOo7VPiYMgmAIAAAAAJL00p02/GpWpC3qn6NZllVpdHrTsf3u3Xx/s9ej+lDpd0S8tRqNEe3t+c72+/16l6kIHr5DbWBXSxqqQntvskyTZDWlgtlMjcveHVXlOnZTtlMtOWHUoBFMAAAAAAOw3PM+lt87N118/q9VvPqmRL9wYUPgjhm5+t1LFvoh+MMQrwyB0SBQNIVN3fVipx76oP6rjw6a0tjyoteVBPblx3+dw26XB2fuCquH7q6v6Zzpkt/Fz0xTBFAAAAAAATThshm4dkq5ze6boB8srtWSX37L/7o+rVewL697RmbIRTsW9zVUhXb2kXGujquQk6YLeKZqaXqHylE5aWRrQp2VBfVEZ0uHMOOYPSx+XBvVxaePn9ToMDc11akSeSyP3h1W90u1JHXISTAEAAAAA0ILeGQ69OCVXT2+q123LK+VvskDfw5/XqawhoodOz6ZdK469uLVety6rVE3QGjW57dJvR2fpmhNTtWlTmfr18x7YVxOMaFVZUJ+UBvRJaVArSwMqqjm81RtrQ6be2xvQe3sDB7ZluYwDQdXwPJdG5rnUJdWWNGEVwRQAAAAAAK0wDEOX90tTr3SHLn6jRLXhxrDg+S0+lfsjemJCjtKcLHofT/xhUz/9sEqPrK9rtq93ul2PT8jRsFxXi8emO206vdCt0wvdB7ZV+CP6pDSglaVfBVYB7ao/vNX7KgOmFu/ya3GTyrxOKTZdc2Ka7hqRcYTfWfwhmAIAAAAA4BDGFro1Z2iDfrA+TXt9jYHDmzv9mrmgVM+dlascjz2GI8Th2lod0jVLyrWqrHnr3qxeKXpwbJYyXEcWNGa7bZrY1aOJXT0Htu2pD1vCqpWlQZX7Dy+s2uuLKHw4/YIJgGAKAAAAAIDD0C/N1ILp+fr6glJtadK69VFJUOe8Wqr/TclVdy+32R3Zy0U+3fxuhaqjWvdcNunXozP1rQFpbdZCV5hq19QeKZraI0WSZJqmvqwN65MDQVVAq8qCzcbylZF5zjYZR0fHMwYAAAAAgMPUK92hBdPz9Y2FZZaKmw1VIZ3zSqn+d3auBmQlR6AQTwJhUz9bUaW/r2veutfTa9e/JuRoeF7LrXttxTAM9Ux3qGe6Q7N67wurIqapzdUhrSwNamXJvsnVV5cF5QubGtHO4+koCKYAAAAAADgC+Sl2zTsnT1e8Va63dzfOC7SzPqxzXinRc5NzNbrAfZDPgONpW01I1y4p18rS5q17M3p49JfTs5Xljs0cYTbDUL9Mp/plOnVx31RJUihi6ovKkDqnJkdrKLOzAQAAAABwhDJcNj0/OVcze3ks2ysDpma+XqY3tjfEaGRo6pVtPo17ubhZKOW0Sb8ZnaknJ+bELJRqjcNmaFBO8lTddaz/fQAAAAAA4oTbbujR8Tm6bkCaZbsvbOrSN8v07Kb6GI0MwYipn3xYpcvfKldVwDqHU3evXa9Py9cNg7xtNp8Ujh6tfAAAAAAAHCW7zdB9p2Yq32PTbz+tObA9bErXv1Oh0oawbh6cHsMRJp/ttSF9c0m5VpQ0b92b2t2jv56RrewOViWVzAimAAAAAAA4BoZh6EcjMpSfYtMdy6vUtD7npyuqVeKL6P+dkkF1znGwYHuDrn+nXBV+a5WUw5D+3ykZuokqqQ6HYAoAAAAAgDZw3QCvct12feftcgUijdv/tLZWpf6I/jQmSw4boUh7CEZM3fNxtf60trbZvm5pdj16ZjYT0ndQBFMAAAAAALSRWb1TlO3O0+Vvlqk21Fi189TGepU1RPTomdlKddBG1pZ21oV13ZJyvV8caLbv7G5u/e2MbOV4kmOFu3jEswEAAAAAgDY0votb86fmKc9jveV+fXuDvr6gTJX+SCtH4kgt3NGgM+YWNwul7Ib0y1My9MxZuYRSHRzBFAAAAAAAbWx4nksLpuWrh9cairxfHNC0V0u0qy4co5ElhlDE1N0fV+nChWUqjwr6uqTaNH9qnr43JF025pPq8AimAAAAAABoB30zHVowPV8nZVtn0fm8MqSzXy3Rpqrmq8bh0HbXh3Xe66X6w+rm80lN6urW2zMLdFon5pOKFwRTAAAAAAC0k86pdr06NV+ndXJZtm+vDevsV0r1SWnzeZHQusU797XuvbfX+v9mM6SfjczQ85NzlUfrXlwhmAIAAAAAoB1luW16YUqepvXwWLaX+SM697VSLdnVEKORxY9wxNSvV1br62+UqbTB2rpXmGLTy+fk6fZhtO7FI4IpAAAAAADaWYrD0BMTcnRFv1TL9tqQqQsXlumFLfUxGlnHt7c+rFkLSjV7VY3MqH1ndnHrnZkFOr2Q1r14RTAFAAAAAMBx4LAZ+vPYLN021GvZHoxI1y2t0JzPm8+ZlOyW7vLrjJeL9c4ea+ueIemuEen63+Rc5afQuhfPHId+CAAAAAAAaAuGYejnJ2cqz2PXjz+sOrDdlPTDD6pU0hDRj0eky0jilrTd9WG9ss2nl7c16J3d/mZVUgUpNj0yLkfju1AllQgIpgAAAAAAOM5uHORVnsemG9+pUKhJ8jJ7VY1KfGHdf1qW7LbkCaeKakKat82n+dsa9EFx6xPCn1Ho0j/G56hTKlVSiYJgCgAAAACAGLiob6py3DZdtbhc9U3Sqcc31KvMH9Ej43LkcSRuOPVFZVDztjXo5SKfVpcHD/pYQ9Kdw9P1f8PSkyqwSwYEUwAAAAAAxMhZ3Tx6+Zw8XbiwVBX+xnBq3rYGfWNhqZ6elKsMV2JMD22aplaXBzWvqEHztvn0RVXosI4bnOPUPaMydGYXz6EfjLhDMAUAAAAAQAydku/S69PydcEbZdpRFz6w/d09Ac14rVT/nZKrgjid4DtimlpRHNC8bfvCqG214UMfJGlEnlPn9UzRuT09OiHT2c6jRCwRTAEAAAAAEGMnZjn1+rQ8XfBGmaWSaHV5UGe/UqIXz85Tr/T4uIUPRUwt2xPYP2eUT3t8kUMeY0g6tZNL5+4Po7p74+N7xbHjTAMAAAAA0AF08zr02rQ8XbyoTCtKGudc2loT1pRXSvTUxFyNzHN2yDmW/GFTS3b5NW+bT69+2aBy/6HDKIchndHZrfN6pmhaDw8TmicpgikAAAAAADqInP/f3r0HRV3/exx/7XKRizJ4SxcTcFQEEZNIcrKyczJNwdJSE0adk07ezcZbGs40WjP6wxotzcy0aRh1pKnxEGH+Mi2UMbNMQ2xHDBFI/Y0ecxOQmwvnD3KNBAF3N3bd52OGcdnv9/O9fF7w3vHNd7/r56X/HdlF//PN79p3vsr2/KWKWj2VdVleBqmbv1GmAC+FBHrV//u3x6ZAowK8nX9fqvKaWn19vr4Z9e+SSpXW1DU7pp2X9N8hfhoT5qdRof7q2O7euH8W7h6NKQAAAAAAXEigj1E7h3fW3Jyr+qSgosEya5104XqtLlyv1bH/a/qT7IJ9DX82qbwa/HvrsVGd2hllMLTu6itLVa3+/VulMs9VaP/5KlVYm29Gtfc2aETP+mbU8Pv91MGHZhRuoTEFAAAAAICL8TEatPmxjurq56X3TpW1eryluk6W6hv6xdL0J9+185JMAfVXWvX484qrW1dg1V+V1T3AS39U12pPcaU+P1eh7ItVqmn+XXoK9jVoVKi/ngnz03+F+MnP2/XefgjXQGMKAAAAAAAXZDQY9ObgID3Q2Ucfmst09ppVV1pw76aWqrJK50qtOlfa9Cfl3WwnNX9dlHSfv1GJofU3L3/U1E4+LngvLLgeGlMAAAAAALgog8Ggib0DNLF3gCSp8kad/lNh1flyqy5et+piuVXnr998XKsL1636z3WrbrSkk9QCzW3m/kAvjQnz0zPh/orv6uuSN2aHa6MxBQAAAACAm/DzNii8g7fCOzT93/naujpdrqhvUl242cC6frOZVauLfz5fdpfdqz5B3nom3E9jwvw1qLNPq+9TBfwVjSkAAAAAAO4hRoNB3QK81C3AS7Fdml7vWvWtJtWF6/VNq1uP65+/XFn/1sEBnXzqr4wK81dksDfNKDgMjSkAAAAAADxQkK9RQb5G9Qv2aXKdamudamrrFMgn6cFJaEwBAAAAAIBG+XoZ5OvF1VFwHlqeAAAAAAAAaBM0pgAAAAAAANAmaEwBAAAAAACgTdCYAgAAAAAAQJtwWGPqs88+U3x8vEJCQjRo0CAdPnxYkpSdna3BgwfLZDIpMTFRxcXFtjFVVVWaO3euevbsqYiICG3cuLHBNu0ZCwAAAAAAANfmkMbUN998o9dff13vvfeefvvtN+3Zs0fh4eG6cuWKpkyZopSUFBUWFio2NlbTpk2zjVuzZo3Onj2rkydPKjMzU++++66+/vprSbJrLAAAAAAAAFyfQxpTq1ev1tKlSzV48GAZjUaFhIQoJCREmZmZioyM1NixY+Xn56dly5YpLy9P+fn5kqRdu3ZpyZIlCg4OVr9+/TR16lTt3LlTkuwaCwAAAAAAANfnbe8GrFarjh8/rlGjRik2NlZVVVVKSEjQqlWrZDabNWDAANu6gYGB6tWrl8xms+677z5dvHixwfKYmBjt2bNHkuwa25gzZ87Ye6ou4V45DzSPrD0TuXsW8vYcZO2ZyN2zkLfnIGvPRO726du3b5PL7G5MXbp0STU1NcrIyNCXX34pHx8fJScn66233lJ5ebm6dOnSYP2goCCVlZWprKzM9v1fl5WWlkqSXWMbc6dJcBdnzpy5J84DzSNrz0TunoW8PQdZeyZy9yzk7TnI2jORu3PZ/VY+f39/SdKMGTPUvXt3de7cWXPmzNFXX32lwMDA25pFpaWlat++vdq3b2/7/qZr166pQ4cOkmTXWAAAAAAAALg+uxtTwcHB6tGjhwwGw23LoqKilJeXZ/u+vLxchYWFioqKUnBwsLp3795geV5eniIjI+0eCwAAAAAAANfnkJufJycna8uWLbp8+bIsFos2b96skSNHKjExUWazWRkZGaqsrFRqaqqio6MVEREhSZo0aZLWrl0ri8Wi/Px8paWlKTk5WZLsGgsAAAAAAADX55DG1NKlS/Xggw8qLi5O8fHxiomJ0eLFi9WlSxelpaXpzTffVHh4uH788Udt27bNNm758uXq1auXYmJilJCQoPnz52v48OGSZNdYAAAAAAAAuD6DxWKpa+uDQMtwwzXPQdaeidw9C3l7DrL2TOTuWcjbc5C1ZyJ353LIFVMAAAAAAABAa9GYAgAAAAAAQJvgrXwAAAAAAABoE1wxBQAAAAAAgDZBYwoAAAAAAABtgsYUAAAAAAAA2gSNKQAAAAAAALQJGlMAAAAAAABoEzSmHKiqqkrz5s3TgAEDdP/99+uxxx7Tvn37bMuzs7M1ePBgmUwmJSYmqri42LZs9+7dGjFihEwmkxISEhps98qVKxo5cqR69eql0NBQPfXUUzpy5MgdjyU3N1fDhg2TyWTSsGHDlJuba1t28OBBJSYmKjQ0VDExMQ46e8/iLlmvXr1aXbp0UY8ePWxf586dc8wkeCB3yd1isWjWrFnq06eP+vTpo9WrVztoBjyLs/L+q507dyo4OFhpaWl3PBZH7AtNc5esZ8+era5duzao6Var1Y4z92zukvuFCxeUlJSk8PBw9e/fXx999JEdZ+25nJl3cHCwQkJCbL+X8+fPv+OxUNOdy12ypqY7lrvkTk1vHI0pB7px44Z69OihrKwsFRcXKyUlRS+++KKKiop05coVTZkyRSkpKSosLFRsbKymTZtmG9uxY0fNnj1br7zyym3bDQwM1MaNG1VQUKCioiItWLBAkyZN0o0bNxo9jurqaiUnJ2vixIk6d+6ckpKSlJycrOrqatv2Jk+erFWrVjlnIjyAu2QtSc8995zOnz9v+woPD3f4fHgKd8n9tddeU0VFhXJzc7V//36lp6dr+/btzpmUe5iz8r7JYrFo3bp1ioqKuuNxOGJfuDN3yVqSFixY0KCme3l52XfyHsxdcp8xY4bCwsJ05swZpaena9WqVTp48KD9E+BhnJ13Tk6O7fdyw4YNTa5HTXc+d8laoqY7krvkTk1vHI0pBwoMDNTy5csVFhYmo9Gop59+WqGhoTpx4oQyMzMVGRmpsWPHys/PT8uWLVNeXp7y8/MlSU888YTGjRsnk8l023b9/PzUt29fGY1G1dXVycvLSxaLRVevXm30OHJycmS1WjVnzhy1a9dOs2bNkiTbD3xcXJwmTZpEg8IO7pI1HMtdct+7d68WLFiggIAAhYWFacqUKdqxY4eTZuXe5ay8b1q5cqVmzpypTp063fE4HLEv3Jm7ZA3Hcofcy8rKlJOTo8WLF8vHx0cxMTF69tln+WPDXXB23i1FTXc+d8kajuUOuVPTm0ZjyokuXbqkgoICRUVFyWw2a8CAAbZlgYGB6tWrl8xmc4u398gjj6hbt25KSkrS1KlT1bVr10bXM5vNio6OlsFgsD0XHR3dqn2hdVw567179yo8PFxDhgzRtm3b7uLs0BRXzr2urq7B419++aU1p4ZGODLvY8eO6fjx47f95bQxjvjZQuu4ctZbt25VeHi4hg0bpoyMjFacFZrjirnfrOV/r+n8/tvP0a/ho0ePVkREhCZPnqyioqIm16Om//NcOWtquvO4Yu7U9KbRmHKSmpoavfTSS0pKSlJERITKy8sVFBTUYJ2goCCVlZW1eJuHDx9WSUmJtm7dqiFDhjS5niP2hZZz5azHjRun77//XgUFBXrnnXeUmpqqTz/9tBVnh6a4cu7Dhw/XunXrVFpaqrNnz2r79u2qqKhoxdnh7xyZt9Vq1aJFi5SamiqjsfmXYWr6P8uVs545c6Z++ukn/frrr0pJSdHcuXObvR8dWsZVc+/QoYOGDBmi1NRUVVZW6sSJE/r888+p6XZy9Gt4VlaWcnNzdfToUZlMpju+HZ+a/s9y5ayp6c7jqrlT05tGY8oJamtrNXPmTPn6+mrt2rWS6julpaWlDdYrLS1V+/btW7VtPz8/jR8/XuvXr9fJkyclqcEN80pKShrd17Vr11q9LzTP1bOOjIyUyWSSl5eXHn74Yc2aNYu/xjiAq+f+r3/9S/7+/oqLi1NycrLGjx+vkJCQuz1dj+fovLdu3aro6GjFx8fftqykpKRB3vbuC63j6lkPGjRInTp1kre3t0aMGKEJEyYoMzPzrs4Vt7h67lu2bFFxcbGio6O1aNEiTZgwgZpuB2e8hg8dOlS+vr4KDg7WmjVrVFRUpNOnT1PT25irZ01Ndw5Xz52a3jgaUw5WV1enefPm6dKlS0pLS5OPj48kKSoqSnl5ebb1ysvLVVhY2OwNMZtSU1Nj+3S1v94wr2fPnoqKitKpU6caXCJ46tSpu94XGueOWRsMhgbrovXcIfeOHTvqww8/VH5+vo4cOaLa2lrFxcXd5Rl7NmfknZ2drS+++EIRERGKiIjQ0aNHtWLFCi1ZskQ9e/ZskLe9+0LLuWPW1HT7uUPuoaGhSk9PV0FBgfbv36+rV69S0+/SP/UafvN3k5redtwxa2q6/dwhd2p642hMOdjChQuVn5+vXbt2yd/f3/Z8YmKizGazMjIyVFlZqdTUVEVHRysiIkJS/WXflZWVunHjhmpra1VZWamamhpJ0g8//KDvvvtO1dXVqqio0Pr163X58mU99NBDjR7Do48+KqPRqM2bN6uqqkpbtmyRJD3++OOS1GD7dXV1qqysbPApbmgZd8g6KytLFotFdXV1OnbsmD744AONHj3amdNyz3OH3AsLC/X777/LarVq3759+vjjj7V48WJnTss9yxl5b9q0SUePHtWhQ4d06NAhxcbGaunSpVqxYkWjx2DPvtBy7pB1RkaGysrKVFtbqwMHDuiTTz7RqFGjnDwz9zZ3yP306dMqLS1VdXW10tPTdeDAAc2dO9fJM3NvckbeZrNZubm5slqtKisrU0pKikwmk/r169foMVDT/xnukDU13fHcIXdqeuMMFouFtqyDFBcXa+DAgWrXrp28vb1tz69bt04TJ07Ut99+qyVLlqikpERxcXHatGmTwsLCJEk7duy47QcyKSlJ77//vnJycvTqq6+qqKhI3t7e6t+/v1JSUjR06NAmj+Xnn3/Wyy+/rNOnTysiIkIbNmzQAw88IEk6dOiQxowZ02D9oUOHKisry1FTcc9zl6ynT5+uAwcOqLq6WiEhIZo+fbrtE9zQeu6S++7du7V8+XL98ccf6t27t1auXKknn3zSCTNyb3NW3n+XkJCgF154QVOnTm3yWBy1LzTOXbIeNWqU7WrJ0NBQLVy4UM8//7wjpsAjuUvumzZt0ttvv62KigoNHDhQq1evVmxsrCOmwKM4K+/s7GwtWrRIFy5cUEBAgOLj4/XGG2+od+/eTR4LNd253CVrarpjuUvu1PTG0ZgCAAAAAABAm+CtfAAAAAAAAGgTNKYAAAAAAADQJmhMAQAAAAAAoE3QmAIAAAAAAECboDEFAAAAAACANkFjCgAAAAAAAG2CxhQAAAAAAADaBI0pAAAAAAAAtAkaUwAAAAAAAGgT/w/RERydoSpqpgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 1296x576 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(y)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Time Series Forecasting:\n",
+    "\n",
+    "We have used the following models to forecast the toy sales:\n",
+    "\n",
+    "* ARIMA\n",
+    "\n",
+    "* Light GBM\n",
+    "\n",
+    "* XGBoost\n",
+    "\n",
+    "* Neural Networks"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab_type": "text",
+    "id": "xsIuPdAuW53_"
+   },
+   "source": [
+    "# ARIMA"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "Ey5w4EIgW54A",
+    "outputId": "0eab2226-b5b7-42dc-f369-c52acedf73de"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Examples of parameter combinations for Seasonal ARIMA...\n",
+      "SARIMAX: (0, 0, 1) x (0, 0, 1, 12)\n",
+      "SARIMAX: (0, 0, 1) x (0, 1, 0, 12)\n",
+      "SARIMAX: (0, 1, 0) x (0, 1, 1, 12)\n",
+      "SARIMAX: (0, 1, 0) x (1, 0, 0, 12)\n"
+     ]
+    }
+   ],
+   "source": [
+    "p = d = q = range(0, 2)\n",
+    "\n",
+    "pdq = list(itertools.product(p, d, q))\n",
+    "seasonal_pdq = [(x[0], x[1], x[2], 12) for x in list(itertools.product(p, d, q))]\n",
+    "\n",
+    "print('Examples of parameter combinations for Seasonal ARIMA...')\n",
+    "print('SARIMAX: {} x {}'.format(pdq[1], seasonal_pdq[1]))\n",
+    "print('SARIMAX: {} x {}'.format(pdq[1], seasonal_pdq[2]))\n",
+    "print('SARIMAX: {} x {}'.format(pdq[2], seasonal_pdq[3]))\n",
+    "print('SARIMAX: {} x {}'.format(pdq[2], seasonal_pdq[4]))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "tjVcwnp9W54D",
+    "outputId": "43537bd3-6ef3-4cf9-fe47-6a3822451bf8"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ARIMA(0, 0, 0)x(0, 0, 0, 12)12 - AIC:888.4031796000711\n",
+      "ARIMA(0, 0, 0)x(0, 0, 1, 12)12 - AIC:878.8688041822081\n",
+      "ARIMA(0, 0, 0)x(0, 1, 0, 12)12 - AIC:510.16330714664264\n",
+      "ARIMA(0, 0, 0)x(0, 1, 1, 12)12 - AIC:559.55687614401\n",
+      "ARIMA(0, 0, 0)x(1, 0, 0, 12)12 - AIC:825.0883799169576\n",
+      "ARIMA(0, 0, 0)x(1, 0, 1, 12)12 - AIC:823.6474108349864\n",
+      "ARIMA(0, 0, 0)x(1, 1, 0, 12)12 - AIC:506.31906616652424\n",
+      "ARIMA(0, 0, 0)x(1, 1, 1, 12)12 - AIC:486.12572548689735\n",
+      "ARIMA(0, 0, 1)x(0, 0, 0, 12)12 - AIC:868.0286405844312\n",
+      "ARIMA(0, 0, 1)x(0, 0, 1, 12)12 - AIC:867.3196461067647\n",
+      "ARIMA(0, 0, 1)x(0, 1, 0, 12)12 - AIC:509.3895546282868\n",
+      "ARIMA(0, 0, 1)x(0, 1, 1, 12)12 - AIC:504.15418041952836\n",
+      "ARIMA(0, 0, 1)x(1, 0, 0, 12)12 - AIC:866.4753900340538\n",
+      "ARIMA(0, 0, 1)x(1, 0, 1, 12)12 - AIC:868.4458501676506\n",
+      "ARIMA(0, 0, 1)x(1, 1, 0, 12)12 - AIC:506.550841208772\n",
+      "ARIMA(0, 0, 1)x(1, 1, 1, 12)12 - AIC:501.01807927347085\n",
+      "ARIMA(0, 1, 0)x(0, 0, 0, 12)12 - AIC:758.4724533792245\n",
+      "ARIMA(0, 1, 0)x(0, 0, 1, 12)12 - AIC:760.3424614672563\n",
+      "ARIMA(0, 1, 0)x(0, 1, 0, 12)12 - AIC:452.598370416518\n",
+      "ARIMA(0, 1, 0)x(0, 1, 1, 12)12 - AIC:452.6770406021821\n",
+      "ARIMA(0, 1, 0)x(1, 0, 0, 12)12 - AIC:760.3981969487543\n",
+      "ARIMA(0, 1, 0)x(1, 0, 1, 12)12 - AIC:759.9330496318718\n",
+      "ARIMA(0, 1, 0)x(1, 1, 0, 12)12 - AIC:452.8057375902112\n",
+      "ARIMA(0, 1, 0)x(1, 1, 1, 12)12 - AIC:452.7375373292258\n",
+      "ARIMA(0, 1, 1)x(0, 0, 0, 12)12 - AIC:758.6846928437373\n",
+      "ARIMA(0, 1, 1)x(0, 0, 1, 12)12 - AIC:760.0599565476274\n",
+      "ARIMA(0, 1, 1)x(0, 1, 0, 12)12 - AIC:455.04408772425813\n",
+      "ARIMA(0, 1, 1)x(0, 1, 1, 12)12 - AIC:454.7864043855675\n",
+      "ARIMA(0, 1, 1)x(1, 0, 0, 12)12 - AIC:760.4627527580598\n",
+      "ARIMA(0, 1, 1)x(1, 0, 1, 12)12 - AIC:758.9896675408222\n",
+      "ARIMA(0, 1, 1)x(1, 1, 0, 12)12 - AIC:454.9396114082777\n",
+      "ARIMA(0, 1, 1)x(1, 1, 1, 12)12 - AIC:454.27652933882723\n",
+      "ARIMA(1, 0, 0)x(0, 0, 0, 12)12 - AIC:786.0847124128959\n",
+      "ARIMA(1, 0, 0)x(0, 0, 1, 12)12 - AIC:778.2876995339523\n",
+      "ARIMA(1, 0, 0)x(0, 1, 0, 12)12 - AIC:553.1855462981868\n",
+      "ARIMA(1, 0, 0)x(0, 1, 1, 12)12 - AIC:504.8033835119635\n",
+      "ARIMA(1, 0, 0)x(1, 0, 0, 12)12 - AIC:774.9504517272908\n",
+      "ARIMA(1, 0, 0)x(1, 0, 1, 12)12 - AIC:776.9468820776851\n",
+      "ARIMA(1, 0, 0)x(1, 1, 0, 12)12 - AIC:527.7531647113096\n",
+      "ARIMA(1, 0, 0)x(1, 1, 1, 12)12 - AIC:482.6078486943309\n",
+      "ARIMA(1, 0, 1)x(0, 0, 0, 12)12 - AIC:784.1607193824748\n",
+      "ARIMA(1, 0, 1)x(0, 0, 1, 12)12 - AIC:776.3713823753619\n",
+      "ARIMA(1, 0, 1)x(0, 1, 0, 12)12 - AIC:584.8727685952042\n",
+      "ARIMA(1, 0, 1)x(0, 1, 1, 12)12 - AIC:501.0078989096501\n",
+      "ARIMA(1, 0, 1)x(1, 0, 0, 12)12 - AIC:773.2357569147026\n",
+      "ARIMA(1, 0, 1)x(1, 0, 1, 12)12 - AIC:775.2258631935564\n",
+      "ARIMA(1, 0, 1)x(1, 1, 0, 12)12 - AIC:549.330560442533\n",
+      "ARIMA(1, 0, 1)x(1, 1, 1, 12)12 - AIC:485.38932208388417\n",
+      "ARIMA(1, 1, 0)x(0, 0, 0, 12)12 - AIC:758.8534699221341\n",
+      "ARIMA(1, 1, 0)x(0, 0, 1, 12)12 - AIC:760.4015819453252\n",
+      "ARIMA(1, 1, 0)x(0, 1, 0, 12)12 - AIC:454.6237408163259\n",
+      "ARIMA(1, 1, 0)x(0, 1, 1, 12)12 - AIC:454.63886199549563\n",
+      "ARIMA(1, 1, 0)x(1, 0, 0, 12)12 - AIC:760.6801705192033\n",
+      "ARIMA(1, 1, 0)x(1, 0, 1, 12)12 - AIC:759.5856873927903\n",
+      "ARIMA(1, 1, 0)x(1, 1, 0, 12)12 - AIC:454.7735972651579\n",
+      "ARIMA(1, 1, 0)x(1, 1, 1, 12)12 - AIC:454.60614435227643\n",
+      "ARIMA(1, 1, 1)x(0, 0, 0, 12)12 - AIC:759.8276085508622\n",
+      "ARIMA(1, 1, 1)x(0, 0, 1, 12)12 - AIC:760.8490583895389\n",
+      "ARIMA(1, 1, 1)x(0, 1, 0, 12)12 - AIC:457.1100687406524\n",
+      "ARIMA(1, 1, 1)x(0, 1, 1, 12)12 - AIC:456.7921359226975\n",
+      "ARIMA(1, 1, 1)x(1, 0, 0, 12)12 - AIC:761.5042865808257\n",
+      "ARIMA(1, 1, 1)x(1, 0, 1, 12)12 - AIC:759.8500009640187\n",
+      "ARIMA(1, 1, 1)x(1, 1, 0, 12)12 - AIC:456.9487140764572\n",
+      "ARIMA(1, 1, 1)x(1, 1, 1, 12)12 - AIC:456.23230940295406\n"
+     ]
+    }
+   ],
+   "source": [
+    "for param in pdq:\n",
+    "    for param_seasonal in seasonal_pdq:\n",
+    "        try:\n",
+    "            mod = sm.tsa.statespace.SARIMAX(y, order = param, seasonal_order = param_seasonal, enforce_stationary = False,enforce_invertibility=False) \n",
+    "            result = mod.fit()   \n",
+    "            print('ARIMA{}x{}12 - AIC:{}'.format(param, param_seasonal, result.aic))\n",
+    "        except:\n",
+    "            continue"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Fitting The ARIMA Model\n",
+    "\n",
+    "We will now fit the ARIMA model using the above optimal combination of p, d, q where we got the lowest AIC value"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "31HQDQMKW54G",
+    "outputId": "8624e2c8-c8f5-45c5-d88e-be1b441da1a8"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "==============================================================================\n",
+      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
+      "------------------------------------------------------------------------------\n",
+      "ar.L1          0.2085      4.900      0.043      0.966      -9.396       9.813\n",
+      "ma.L1         -0.1965      5.038     -0.039      0.969     -10.071       9.678\n",
+      "ar.S.L12      -0.0692      0.073     -0.941      0.347      -0.213       0.075\n",
+      "sigma2      9.765e+07   6.15e-08   1.59e+15      0.000    9.76e+07    9.76e+07\n",
+      "==============================================================================\n"
+     ]
+    }
+   ],
+   "source": [
+    "model = sm.tsa.statespace.SARIMAX(y, order = (1, 1, 1),\n",
+    "                                  seasonal_order = (1, 1, 0, 12)\n",
+    "                                 )\n",
+    "result = model.fit()\n",
+    "print(result.summary().tables[1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "NUxTMIHKW54J",
+    "outputId": "31cccd9d-87f6-4136-97de-1418f9bb659b"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1152x576 with 4 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "result.plot_diagnostics(figsize = (16, 8))\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Validating Forecasts\n",
+    "\n",
+    "To help us understand the accuracy of our forecasts, we compare predicted sales to real sales of the time series, and we set forecasts to start at 2014–01–01 to the end of the data."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "M3dDfC4wW54M",
+    "outputId": "3ca98cbc-9a0e-4e3d-950e-2db0d75e019b"
+   },
+   "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>lower item_cnt_day</th>\n",
+       "      <th>upper item_cnt_day</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>index</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>2014-01-01</th>\n",
+       "      <td>285781.037517</td>\n",
+       "      <td>324687.596919</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-02-01</th>\n",
+       "      <td>92252.093858</td>\n",
+       "      <td>130988.618023</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-03-01</th>\n",
+       "      <td>107600.819975</td>\n",
+       "      <td>146337.318841</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-04-01</th>\n",
+       "      <td>58474.082992</td>\n",
+       "      <td>97210.580881</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-05-01</th>\n",
+       "      <td>77159.252631</td>\n",
+       "      <td>115895.750483</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-06-01</th>\n",
+       "      <td>95624.249763</td>\n",
+       "      <td>134360.747614</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-07-01</th>\n",
+       "      <td>70020.522888</td>\n",
+       "      <td>108757.020739</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-08-01</th>\n",
+       "      <td>79647.587643</td>\n",
+       "      <td>118384.085494</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-09-01</th>\n",
+       "      <td>90883.896116</td>\n",
+       "      <td>129620.393967</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-10-01</th>\n",
+       "      <td>74320.310156</td>\n",
+       "      <td>113056.808006</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-11-01</th>\n",
+       "      <td>90492.440569</td>\n",
+       "      <td>129228.938419</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2014-12-01</th>\n",
+       "      <td>148285.155833</td>\n",
+       "      <td>187021.653684</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-01-01</th>\n",
+       "      <td>96460.494876</td>\n",
+       "      <td>135196.984630</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-02-01</th>\n",
+       "      <td>84605.241967</td>\n",
+       "      <td>123340.800465</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-03-01</th>\n",
+       "      <td>71120.732205</td>\n",
+       "      <td>109856.290567</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-04-01</th>\n",
+       "      <td>42283.782919</td>\n",
+       "      <td>81019.341276</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-05-01</th>\n",
+       "      <td>59755.758756</td>\n",
+       "      <td>98491.317113</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-06-01</th>\n",
+       "      <td>53816.235241</td>\n",
+       "      <td>92551.793598</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-07-01</th>\n",
+       "      <td>38320.882217</td>\n",
+       "      <td>77056.440574</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-08-01</th>\n",
+       "      <td>55086.129736</td>\n",
+       "      <td>93821.688093</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-09-01</th>\n",
+       "      <td>43904.930462</td>\n",
+       "      <td>82640.488819</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2015-10-01</th>\n",
+       "      <td>60816.768030</td>\n",
+       "      <td>99552.326387</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "            lower item_cnt_day  upper item_cnt_day\n",
+       "index                                             \n",
+       "2014-01-01       285781.037517       324687.596919\n",
+       "2014-02-01        92252.093858       130988.618023\n",
+       "2014-03-01       107600.819975       146337.318841\n",
+       "2014-04-01        58474.082992        97210.580881\n",
+       "2014-05-01        77159.252631       115895.750483\n",
+       "2014-06-01        95624.249763       134360.747614\n",
+       "2014-07-01        70020.522888       108757.020739\n",
+       "2014-08-01        79647.587643       118384.085494\n",
+       "2014-09-01        90883.896116       129620.393967\n",
+       "2014-10-01        74320.310156       113056.808006\n",
+       "2014-11-01        90492.440569       129228.938419\n",
+       "2014-12-01       148285.155833       187021.653684\n",
+       "2015-01-01        96460.494876       135196.984630\n",
+       "2015-02-01        84605.241967       123340.800465\n",
+       "2015-03-01        71120.732205       109856.290567\n",
+       "2015-04-01        42283.782919        81019.341276\n",
+       "2015-05-01        59755.758756        98491.317113\n",
+       "2015-06-01        53816.235241        92551.793598\n",
+       "2015-07-01        38320.882217        77056.440574\n",
+       "2015-08-01        55086.129736        93821.688093\n",
+       "2015-09-01        43904.930462        82640.488819\n",
+       "2015-10-01        60816.768030        99552.326387"
+      ]
+     },
+     "execution_count": 25,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "prediction = result.get_prediction(start = pd.to_datetime('2014-01-01'), dynamic = False)\n",
+    "prediction_ci = prediction.conf_int()\n",
+    "prediction_ci"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "LuXBYjEXW54O",
+    "outputId": "3dfab667-5fda-4293-85c0-5574429dd629"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1008x504 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "ax = y['2013':].plot(label = 'observed')\n",
+    "prediction.predicted_mean.plot(ax = ax, label = 'One-step ahead Forecast', alpha = 0.7, figsize = (14, 7))\n",
+    "ax.fill_between(prediction_ci.index, prediction_ci.iloc[:, 0], prediction_ci.iloc[:, 1], color = 'k', alpha = 0.2)\n",
+    "ax.set_xlabel(\"Date\")\n",
+    "ax.set_ylabel('Item Sales')\n",
+    "plt.legend()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The line plot is showing the observed values compared to the rolling forecast predictions. Overall, our forecasts align with the true values very well."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Error Analysis"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "rPHT-o_pW54R",
+    "outputId": "e439c9c3-311f-45fa-b4df-dbc27a234ebb"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The Mean Squared Error of our forecasts is 1718890171.45\n",
+      "The Root Mean Squared Error of our forecasts is 41459.5\n"
+     ]
+    }
+   ],
+   "source": [
+    "y_hat = prediction.predicted_mean\n",
+    "y_truth = y['2014-01-01':]\n",
+    "\n",
+    "mse = ((y_hat - y_truth) ** 2).mean()\n",
+    "rmse = np.sqrt(mse)\n",
+    "print('The Mean Squared Error of our forecasts is {}'.format(round(mse, 2)))\n",
+    "print('The Root Mean Squared Error of our forecasts is {}'.format(round(rmse, 2)))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Producing And Visualizing forecasts through Graphs (Out of Sample data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "vLJcRJQMW54U",
+    "outputId": "acad5726-cc7b-445d-b4d6-49cdc58402d7"
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1008x504 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pred_uc = result.get_forecast(steps = 100)\n",
+    "pred_ci = pred_uc.conf_int()\n",
+    "\n",
+    "ax = y.plot(label = 'observed', figsize = (14, 7))\n",
+    "pred_uc.predicted_mean.plot(ax = ax, label = 'forecast')\n",
+    "ax.fill_between(pred_ci.index, pred_ci.iloc[:, 0], pred_ci.iloc[:, 1], color = 'k', alpha = 0.25)\n",
+    "ax.set_xlabel('Date')\n",
+    "ax.set_ylabel('Item Sales')\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Loading test data And Cleaned data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 195
+    },
+    "colab_type": "code",
+    "id": "zbshI12YW54X",
+    "outputId": "3c7afc0a-ef12-4fff-aaf0-e99c22956d3c"
+   },
+   "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>ID</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>0</td>\n",
+       "      <td>5</td>\n",
+       "      <td>5037</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>1</td>\n",
+       "      <td>5</td>\n",
+       "      <td>5320</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>2</td>\n",
+       "      <td>5</td>\n",
+       "      <td>5233</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>3</td>\n",
+       "      <td>5</td>\n",
+       "      <td>5232</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>4</td>\n",
+       "      <td>5</td>\n",
+       "      <td>5268</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   ID  shop_id  item_id\n",
+       "0   0        5     5037\n",
+       "1   1        5     5320\n",
+       "2   2        5     5233\n",
+       "3   3        5     5232\n",
+       "4   4        5     5268"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "test =pd.read_csv('test.csv')\n",
+    "test.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "fLo-ji8gW54Z"
+   },
+   "outputs": [],
+   "source": [
+    "train=pd.read_csv('sales_updates.csv',sep=',')\n",
+    "shops= pd.read_csv('shops_updates.csv',sep=',')\n",
+    "items=pd.read_csv('item_category_updated.csv',sep=',')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 195
+    },
+    "colab_type": "code",
+    "id": "-ak1pqHeW54c",
+    "outputId": "b668f368-2cd4-455d-b355-ee56d30c616d"
+   },
+   "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>Unnamed: 0</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>city_code</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>29</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>29</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0  shop_id  city_code\n",
+       "0           0        0         29\n",
+       "1           1        1         29\n",
+       "2           2        2          0\n",
+       "3           3        3          1\n",
+       "4           4        4          2"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "shops.head()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Data Preprocessing with the Cleaned data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 34
+    },
+    "colab_type": "code",
+    "id": "Qjy26UalW54f",
+    "outputId": "4f8b7134-5bc0-4dad-946e-f1e1dae1bc87"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "11.751049518585205"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from itertools import product\n",
+    "import time\n",
+    "ts = time.time()\n",
+    "matrix = []\n",
+    "cols = ['date_block_num','shop_id','item_id']\n",
+    "for i in range(34):\n",
+    "    sales = train[train.date_block_num==i]\n",
+    "    matrix.append(np.array(list(product([i], sales.shop_id.unique(), sales.item_id.unique())), dtype='int16'))\n",
+    "    \n",
+    "matrix = pd.DataFrame(np.vstack(matrix), columns=cols)\n",
+    "matrix['date_block_num'] = matrix['date_block_num'].astype(np.int8)\n",
+    "matrix['shop_id'] = matrix['shop_id'].astype(np.int8)\n",
+    "matrix['item_id'] = matrix['item_id'].astype(np.int16)\n",
+    "matrix.sort_values(cols,inplace=True)\n",
+    "time.time() - ts"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 34
+    },
+    "colab_type": "code",
+    "id": "zGuip-KHW54h",
+    "outputId": "e62b45d5-9c5b-4bec-971e-741e3ec979aa"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "5.198172330856323"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ts = time.time()\n",
+    "group = train.groupby(['date_block_num','shop_id','item_id']).agg({'item_cnt_day': ['sum']})\n",
+    "group.columns = ['item_cnt_month']\n",
+    "group.reset_index(inplace=True)\n",
+    "\n",
+    "matrix = pd.merge(matrix, group, on=cols, how='left')\n",
+    "matrix['item_cnt_month'] = (matrix['item_cnt_month']\n",
+    "                                .fillna(0)\n",
+    "                                .clip(0,20) \n",
+    "                                .astype(np.float32))\n",
+    "time.time() - ts"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "2w2NEvKUW54k"
+   },
+   "outputs": [],
+   "source": [
+    "test['date_block_num'] = 34\n",
+    "test['date_block_num'] = test['date_block_num'].astype(np.int8)\n",
+    "test['shop_id'] = test['shop_id'].astype(np.int8)\n",
+    "test['item_id'] = test['item_id'].astype(np.int16)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 34
+    },
+    "colab_type": "code",
+    "id": "bdCCCSibW54n",
+    "outputId": "b6072f9a-3301-401e-9fb9-942d339fd952"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.13692808151245117"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ts = time.time()\n",
+    "matrix = pd.concat([matrix, test], ignore_index=True, sort=False, keys=cols)\n",
+    "matrix.fillna(0, inplace=True) \n",
+    "time.time() - ts"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "uDL0uFGqW54p"
+   },
+   "outputs": [],
+   "source": [
+    "matrix = pd.merge(matrix, shops)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "XQWex01WW54y"
+   },
+   "outputs": [],
+   "source": [
+    "matrix = pd.merge(matrix, items)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "lErusCIfW541"
+   },
+   "outputs": [],
+   "source": [
+    "matrix=matrix.drop(['Unnamed: 0'],axis=1) "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 195
+    },
+    "colab_type": "code",
+    "id": "zUixTBbCW544",
+    "outputId": "37c9d4c4-aaea-4c92-8cbd-272a680eafb8"
+   },
+   "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>date_block_num</th>\n",
+       "      <th>shop_id</th>\n",
+       "      <th>item_id</th>\n",
+       "      <th>item_cnt_month</th>\n",
+       "      <th>ID</th>\n",
+       "      <th>city_code</th>\n",
+       "      <th>item_category_id</th>\n",
+       "      <th>type_code</th>\n",
+       "      <th>subtype_code</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>19</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>27</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>28</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>29</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>32</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   date_block_num  shop_id  item_id  item_cnt_month   ID  city_code  item_category_id  type_code  subtype_code\n",
+       "0               0        2       19             0.0  0.0          0                 2          1            10\n",
+       "1               0        2       27             1.0  0.0          0                 2          1            10\n",
+       "2               0        2       28             0.0  0.0          0                 2          1            10\n",
+       "3               0        2       29             0.0  0.0          0                 2          1            10\n",
+       "4               0        2       32             0.0  0.0          0                 2          1            10"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "matrix.head()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Light GBM Model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 34
+    },
+    "colab_type": "code",
+    "id": "NwafWpQbW548",
+    "outputId": "25942a77-f5d2-41c7-eb41-660c6e4668c8"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "sys.version_info(major=3, minor=6, micro=9, releaselevel='final', serial=0)"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "from lightgbm import LGBMRegressor\n",
+    "\n",
+    "import time\n",
+    "import sys\n",
+    "import gc\n",
+    "import pickle\n",
+    "sys.version_info"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "Q8xhPpSmW55A"
+   },
+   "outputs": [],
+   "source": [
+    "X_train = matrix[matrix.date_block_num < 33].drop(['item_cnt_month'], axis=1)\n",
+    "Y_train = matrix[matrix.date_block_num < 33]['item_cnt_month']\n",
+    "X_valid = matrix[matrix.date_block_num == 33].drop(['item_cnt_month'], axis=1)\n",
+    "Y_valid = matrix[matrix.date_block_num == 33]['item_cnt_month']\n",
+    "X_test = matrix[matrix.date_block_num == 34].drop(['item_cnt_month'], axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "ewRPiyXXYzxv"
+   },
+   "outputs": [],
+   "source": [
+    "cat_feats = ['shop_id','city_code','item_category_id','type_code','subtype_code']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 439
+    },
+    "colab_type": "code",
+    "id": "PQExTxpEW55F",
+    "outputId": "adea83cd-5053-4bf6-bd8f-004efc548259"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training until validation scores don't improve for 40 rounds.\n",
+      "[10]\ttraining's l2: 1.45093\ttraining's rmse: 1.20454\tvalid_1's l2: 1.25988\tvalid_1's rmse: 1.12245\n",
+      "[20]\ttraining's l2: 1.43604\ttraining's rmse: 1.19835\tvalid_1's l2: 1.25356\tvalid_1's rmse: 1.11963\n",
+      "[30]\ttraining's l2: 1.42696\ttraining's rmse: 1.19455\tvalid_1's l2: 1.24978\tvalid_1's rmse: 1.11793\n",
+      "[40]\ttraining's l2: 1.41543\ttraining's rmse: 1.18972\tvalid_1's l2: 1.24586\tvalid_1's rmse: 1.11618\n",
+      "[50]\ttraining's l2: 1.40866\ttraining's rmse: 1.18687\tvalid_1's l2: 1.24069\tvalid_1's rmse: 1.11386\n",
+      "[60]\ttraining's l2: 1.40399\ttraining's rmse: 1.1849\tvalid_1's l2: 1.23805\tvalid_1's rmse: 1.11268\n",
+      "[70]\ttraining's l2: 1.40075\ttraining's rmse: 1.18353\tvalid_1's l2: 1.23753\tvalid_1's rmse: 1.11244\n",
+      "[80]\ttraining's l2: 1.39837\ttraining's rmse: 1.18253\tvalid_1's l2: 1.23612\tvalid_1's rmse: 1.11181\n",
+      "[90]\ttraining's l2: 1.39598\ttraining's rmse: 1.18151\tvalid_1's l2: 1.23502\tvalid_1's rmse: 1.11131\n",
+      "[100]\ttraining's l2: 1.39439\ttraining's rmse: 1.18084\tvalid_1's l2: 1.23439\tvalid_1's rmse: 1.11103\n",
+      "[110]\ttraining's l2: 1.39296\ttraining's rmse: 1.18024\tvalid_1's l2: 1.2339\tvalid_1's rmse: 1.11081\n",
+      "[120]\ttraining's l2: 1.3908\ttraining's rmse: 1.17932\tvalid_1's l2: 1.23241\tvalid_1's rmse: 1.11014\n",
+      "[130]\ttraining's l2: 1.3892\ttraining's rmse: 1.17864\tvalid_1's l2: 1.23201\tvalid_1's rmse: 1.10996\n",
+      "[140]\ttraining's l2: 1.38833\ttraining's rmse: 1.17827\tvalid_1's l2: 1.23205\tvalid_1's rmse: 1.10998\n",
+      "[150]\ttraining's l2: 1.3869\ttraining's rmse: 1.17767\tvalid_1's l2: 1.23171\tvalid_1's rmse: 1.10982\n",
+      "[160]\ttraining's l2: 1.38627\ttraining's rmse: 1.1774\tvalid_1's l2: 1.2317\tvalid_1's rmse: 1.10982\n",
+      "[170]\ttraining's l2: 1.38556\ttraining's rmse: 1.1771\tvalid_1's l2: 1.23196\tvalid_1's rmse: 1.10994\n",
+      "[180]\ttraining's l2: 1.38466\ttraining's rmse: 1.17672\tvalid_1's l2: 1.23197\tvalid_1's rmse: 1.10994\n",
+      "[190]\ttraining's l2: 1.38375\ttraining's rmse: 1.17633\tvalid_1's l2: 1.23229\tvalid_1's rmse: 1.11009\n",
+      "[200]\ttraining's l2: 1.38276\ttraining's rmse: 1.17591\tvalid_1's l2: 1.23229\tvalid_1's rmse: 1.11009\n",
+      "Early stopping, best iteration is:\n",
+      "[164]\ttraining's l2: 1.386\ttraining's rmse: 1.17728\tvalid_1's l2: 1.2314\tvalid_1's rmse: 1.10968\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "95.2406280040741"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ts = time.time()\n",
+    "\n",
+    "model = LGBMRegressor(\n",
+    "    max_depth = 8,\n",
+    "    n_estimators = 500,\n",
+    "    colsample_bytree=0.7,\n",
+    "    min_child_weight = 300,\n",
+    "    reg_alpha = 0.1,\n",
+    "    reg_lambda = 1,\n",
+    "    random_state = 42,\n",
+    ")\n",
+    "\n",
+    "model.fit(\n",
+    "    X_train, \n",
+    "    Y_train, \n",
+    "    eval_metric=\"rmse\", \n",
+    "    eval_set=[(X_train, Y_train), (X_valid, Y_valid)], \n",
+    "    verbose=10, \n",
+    "    early_stopping_rounds = 40,\n",
+    "    categorical_feature = cat_feats) \n",
+    "\n",
+    "time.time() - ts"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "tDnNHZ1QW55I"
+   },
+   "outputs": [],
+   "source": [
+    "Y_pred = model.predict(X_valid).clip(0, 20)\n",
+    "Y_test = model.predict(X_test).clip(0, 20)\n",
+    "\n",
+    "X_train_level2 = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_pred.shape[0]), \n",
+    "    \"item_cnt_month\": Y_pred\n",
+    "})\n",
+    "X_train_level2.to_csv('Xtrainlevel2.csv', index=False)\n",
+    "\n",
+    "submission = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_test.shape[0]), \n",
+    "    \"item_cnt_month\": Y_test\n",
+    "})\n",
+    "submission.to_csv('lgb_submission.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab_type": "text",
+    "id": "iJdMXcKZabEU"
+   },
+   "source": [
+    "# XGBOOST Model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 459
+    },
+    "colab_type": "code",
+    "id": "gDjss42eW55M",
+    "outputId": "72a0fcd4-67af-42ff-d3a8-4ac9b1c7b282"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[08:42:27] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
+      "[08:42:27] WARNING: /workspace/src/learner.cc:686: Tree method is automatically selected to be 'approx' for faster speed. To use old behavior (exact greedy algorithm on single machine), set tree_method to 'exact'.\n",
+      "[0]\tvalidation_0-rmse:1.18598\tvalidation_1-rmse:1.15481\n",
+      "Multiple eval metrics have been passed: 'validation_1-rmse' will be used for early stopping.\n",
+      "\n",
+      "Will train until validation_1-rmse hasn't improved in 10 rounds.\n",
+      "[10]\tvalidation_0-rmse:1.1782\tvalidation_1-rmse:1.12661\n",
+      "[20]\tvalidation_0-rmse:1.18\tvalidation_1-rmse:1.12245\n",
+      "[30]\tvalidation_0-rmse:1.1796\tvalidation_1-rmse:1.12155\n",
+      "[40]\tvalidation_0-rmse:1.17948\tvalidation_1-rmse:1.12084\n",
+      "[50]\tvalidation_0-rmse:1.17934\tvalidation_1-rmse:1.12031\n",
+      "[60]\tvalidation_0-rmse:1.17895\tvalidation_1-rmse:1.11988\n",
+      "[70]\tvalidation_0-rmse:1.17844\tvalidation_1-rmse:1.11963\n",
+      "[80]\tvalidation_0-rmse:1.17807\tvalidation_1-rmse:1.11892\n",
+      "[90]\tvalidation_0-rmse:1.17769\tvalidation_1-rmse:1.11882\n",
+      "[100]\tvalidation_0-rmse:1.17744\tvalidation_1-rmse:1.11862\n",
+      "[110]\tvalidation_0-rmse:1.17724\tvalidation_1-rmse:1.11815\n",
+      "[120]\tvalidation_0-rmse:1.17696\tvalidation_1-rmse:1.11805\n",
+      "[130]\tvalidation_0-rmse:1.17685\tvalidation_1-rmse:1.11799\n",
+      "[140]\tvalidation_0-rmse:1.17664\tvalidation_1-rmse:1.11807\n",
+      "Stopping. Best iteration:\n",
+      "[133]\tvalidation_0-rmse:1.17676\tvalidation_1-rmse:1.11785\n",
+      "\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "2373.701593875885"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from xgboost import XGBRegressor\n",
+    "ts = time.time()\n",
+    "\n",
+    "model = XGBRegressor(\n",
+    "    max_depth=7,\n",
+    "    n_estimators=1000,\n",
+    "    min_child_weight=300, \n",
+    "    colsample_bytree=0.8, \n",
+    "    subsample=0.8, \n",
+    "    gamma = 0.005,\n",
+    "    eta=0.1,    \n",
+    "    seed=42)\n",
+    "\n",
+    "model.fit(\n",
+    "    X_train, \n",
+    "    Y_train, \n",
+    "    eval_metric=\"rmse\", \n",
+    "    eval_set=[(X_train, Y_train), (X_valid, Y_valid)], \n",
+    "    verbose=10, \n",
+    "    early_stopping_rounds = 10,\n",
+    "    )\n",
+    "\n",
+    "time.time() - ts"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "d1bUkiiYW55O"
+   },
+   "outputs": [],
+   "source": [
+    "Y_pred = model.predict(X_valid).clip(0, 20)\n",
+    "Y_test = model.predict(X_test).clip(0, 20)\n",
+    "\n",
+    "X_train_level2 = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_pred.shape[0]), \n",
+    "    \"item_cnt_month\": Y_pred\n",
+    "})\n",
+    "\n",
+    "submission = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_test.shape[0]), \n",
+    "    \"item_cnt_month\": Y_test\n",
+    "})\n",
+    "submission.to_csv('xgb_submission.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "obZLwPn-8Px6"
+   },
+   "outputs": [],
+   "source": [
+    "import xgboost as xgb\n",
+    "def plot_features(booster, figsize):    \n",
+    "    fig, ax = plt.subplots(1,1,figsize=figsize)\n",
+    "    return xgb.plot_importance(booster=booster, ax=ax)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 921
+    },
+    "colab_type": "code",
+    "id": "yxfk2ju8lLoI",
+    "outputId": "ad9bc038-c903-48ee-9582-7e8b2665c0f2"
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f8e8c929f98>"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x1008 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_features(model, (10,14))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab_type": "text",
+    "id": "h4wmMwL1bHEG"
+   },
+   "source": [
+    "# Neural Networks"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "VesmWjnNW55R"
+   },
+   "outputs": [],
+   "source": [
+    "from sklearn.metrics import mean_squared_error\n",
+    "from keras.models import Model\n",
+    "from keras.layers import Input, Dense, Dropout\n",
+    "from keras.regularizers import l2, l1\n",
+    "from keras.optimizers import RMSprop, Adam\n",
+    "import tensorflow\n",
+    "tensorflow.random.set_seed(23333)\n",
+    "np.random.seed(233333)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 210
+    },
+    "colab_type": "code",
+    "id": "ua2Q-w73W55T",
+    "outputId": "adad725d-21d4-476c-836e-c2860dbf060a"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch 1/5\n",
+      "1068/1068 [==============================] - 6s 6ms/step - loss: 1.6116 - mse: 1.6108 - val_loss: 1.3606 - val_mse: 1.3599\n",
+      "Epoch 2/5\n",
+      "1068/1068 [==============================] - 6s 5ms/step - loss: 1.5919 - mse: 1.5912 - val_loss: 1.3605 - val_mse: 1.3599\n",
+      "Epoch 3/5\n",
+      "1068/1068 [==============================] - 6s 5ms/step - loss: 1.5918 - mse: 1.5912 - val_loss: 1.3604 - val_mse: 1.3599\n",
+      "Epoch 4/5\n",
+      "1068/1068 [==============================] - 6s 5ms/step - loss: 1.5917 - mse: 1.5912 - val_loss: 1.3603 - val_mse: 1.3599\n",
+      "Epoch 5/5\n",
+      "1068/1068 [==============================] - 6s 5ms/step - loss: 1.5488 - mse: 1.5474 - val_loss: 1.2957 - val_mse: 1.2932\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<tensorflow.python.keras.callbacks.History at 0x7f8e4cef1080>"
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {
+      "tags": []
+     },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def Sales_prediction_model(input_shape):\n",
+    "    in_layer = Input(input_shape)\n",
+    "    x = Dense(16,kernel_initializer='RandomUniform', kernel_regularizer=l2(0.02), activation = \"relu\")(in_layer)\n",
+    "    x = Dense(8, kernel_initializer='RandomUniform', kernel_regularizer=l2(0.02), activation = \"relu\")(x)\n",
+    "    x = Dense(1, kernel_initializer='RandomUniform', kernel_regularizer=l2(0.02), activation = \"relu\")(x)\n",
+    "    \n",
+    "    model = Model(inputs = in_layer, outputs = x, name='Sales_prediction_model')\n",
+    "    return model\n",
+    "\n",
+    "# NN cannot take missing values, fill NaN with 0.\n",
+    "X_train.fillna(0,inplace=True)\n",
+    "X_valid.fillna(0,inplace=True)\n",
+    "X_test.fillna(0,inplace=True)\n",
+    "\n",
+    "input_shape = [X_train.shape[1]]\n",
+    "model = Sales_prediction_model(input_shape)\n",
+    "model.compile(optimizer = Adam(lr=0.0005) , loss = [\"mse\"], metrics=['mse'])\n",
+    "model.fit(X_train, Y_train, validation_data = (X_valid, Y_valid), batch_size = 10000, epochs=5)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "il2pIM0cW55X"
+   },
+   "outputs": [],
+   "source": [
+    "Y_pred = model.predict(X_valid).clip(0, 20)[:,0]\n",
+    "Y_test = model.predict(X_test).clip(0, 20)[:,0]\n",
+    "\n",
+    "X_train_level2 = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_pred.shape[0]), \n",
+    "    \"item_cnt_month\": Y_pred\n",
+    "})\n",
+    "\n",
+    "submission = pd.DataFrame({\n",
+    "    \"ID\": np.arange(Y_test.shape[0]), \n",
+    "    \"item_cnt_month\": Y_test\n",
+    "})\n",
+    "submission.to_csv('nn_submission.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "76iqlUZekGfn"
+   },
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "S4dYCYGYW55e"
+   },
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "XzCEhIXFW55h"
+   },
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "kIm0mWjpW56V"
+   },
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "colab": {
+   "name": "Copy of Untitled.ipynb",
+   "provenance": [],
+   "toc_visible": true
+  },
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}
diff --git a/lgb_submission (1).csv b/lgb_submission (1).csv
new file mode 100644
index 0000000..88ce46a
--- /dev/null
+++ b/lgb_submission (1).csv	
@@ -0,0 +1,214201 @@
+ID,item_cnt_month
+0,0.2923905726069037
+1,0.33363682165472663
+2,0.21236328573995253
+3,0.21236328573995253
+4,0.33363682165472663
+5,0.2923905726069037
+6,0.2923905726069037
+7,0.2923905726069037
+8,0.33363682165472663
+9,0.2923905726069037
+10,0.6105394036390055
+11,0.6105394036390055
+12,0.1520196858815133
+13,0.6105394036390055
+14,0.6105394036390055
+15,0.6105394036390055
+16,0.6105394036390055
+17,0.1520196858815133
+18,0.2923905726069037
+19,0.2923905726069037
+20,0.36110586142563716
+21,0.2923905726069037
+22,0.6378929500249261
+23,0.6378929500249261
+24,0.13562856172330992
+25,0.13562856172330992
+26,0.13562856172330992
+27,0.21734946806029995
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diff --git a/nn_submission (1).csv b/nn_submission (1).csv
new file mode 100644
index 0000000..6a05a0c
--- /dev/null
+++ b/nn_submission (1).csv	
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diff --git a/xgb_submission (1).csv b/xgb_submission (1).csv
new file mode 100644
index 0000000..60f9cea
--- /dev/null
+++ b/xgb_submission (1).csv	
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