AIM-PIbd-32-Kamcharova-K-A/lab_3/lab3.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Вариант задания: Прогнозирование выручки в магазинах\n",
    "### Бизнес-цели:\n",
    "Цель: Разработать модель машинного обучения, которая позволит прогнозировать распродажи магазина в зависимоси от его ассортимента.\n",
    "\n",
    "### Цели технического проекта:\n",
    "\n",
    "Сбор и подготовка данных:\n",
    "Очистка данных от пропусков, выбросов и дубликатов.\n",
    "Преобразование категориальных переменных в числовые.\n",
    "Разделение данных на обучающую и тестовую выборки.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['Store ID ', 'Store_Area', 'Items_Available', 'Daily_Customer_Count',\n",
      "       'Store_Sales'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "import pandas as pn\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import matplotlib.ticker as ticker\n",
    "df = pn.read_csv(\".//static//csv//Stores.csv\")\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Разделим на 3 выборки\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Размер обучающей выборки: 572\n",
      "Размер контрольной выборки: 144\n",
      "Размер тестовой выборки: 180\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# Разделение данных на обучающую и тестовую выборки (80% - обучение, 20% - тест)\n",
    "train_data, test_data = train_test_split(df, test_size=0.2, random_state=42)\n",
    "\n",
    "# Разделение обучающей выборки на обучающую и контрольную (80% - обучение, 20% - контроль)\n",
    "train_data, val_data = train_test_split(train_data, test_size=0.2, random_state=42)\n",
    "\n",
    "print(\"Размер обучающей выборки:\", len(train_data))\n",
    "print(\"Размер контрольной выборки:\", len(val_data))\n",
    "print(\"Размер тестовой выборки:\", len(test_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjIAAAHHCAYAAACle7JuAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB5Z0lEQVR4nO3dd3gU1f4G8HdbdlM3vZFCSCEh9NACIgihCVhAsMAV1IvoBRW44r2oiB27iKJcvQh4BVFUUBRBCEVK6DUQQktISEjZ9LpJds/vj5D9sSRACBtmN3k/z7PPw86cnXmzs5t8OXPOjEwIIUBERERkg+RSByAiIiJqKhYyREREZLNYyBAREZHNYiFDRERENouFDBEREdksFjJERERks1jIEBERkc1iIUNEREQ2i4UMEVETFBYW4uzZs6ipqZE6ClmQEAL5+fk4c+aM1FGokVjIEBE1QnV1Nd577z106dIFarUabm5uCA8PR3x8vNTRbEJiYiLWrl1ren7kyBH8/vvv0gW6QklJCV5++WW0b98ednZ28PDwQEREBJKTk6WORo2glDoA3bply5bhscceMz1Xq9UICgrC0KFDMXfuXPj4+EiYjsj26fV6DB06FHv27MFTTz2FN954Aw4ODlAoFIiJiZE6nk0oKSnB1KlT4evrCw8PDzz33HMYMWIERo4cKWmuvLw8DBgwAGlpaXjmmWfQr18/2NnZQaVSoW3btpJmo8ZhIdOCvP766wgJCUFlZSV27tyJL774AuvXr0diYiIcHBykjkdks959913s3bsXGzduxMCBA6WOY5NiY2NNDwCIiIjAlClTJE4FzJ49G5cuXUJCQgKio6OljkNNwEKmBRkxYgR69OgBAPj73/8ODw8PfPTRR/jll1/w8MMPS5yOyDbV1NRgwYIF+Oc//8ki5hatXbsWJ0+eREVFBTp16gQ7OztJ8+Tk5GD58uVYvHgxixgbxjEyLdigQYMAACkpKQCA/Px8PP/88+jUqROcnJzg4uKCESNG4OjRo/VeW1lZiVdffRURERHQaDTw8/PDmDFjcO7cOQBAamoqZDLZNR9X/sLftm0bZDIZvv/+e7z44ovw9fWFo6Mj7rnnHqSnp9fb9969ezF8+HBotVo4ODhgwIAB2LVrV4M/48CBAxvc/6uvvlqv7bfffouYmBjY29vD3d0dDz30UIP7v97PdiWj0YgFCxYgOjoaGo0GPj4+mDp1KgoKCszatW3bFqNGjaq3n+nTp9fbZkPZ33///XrvKVB7umPevHkICwuDWq1GYGAgXnjhBej1+gbfqysNHDgQHTt2rLf8gw8+gEwmQ2pqqtnywsJCzJgxA4GBgVCr1QgLC8O7774Lo9FoalP3vn3wwQf1ttuxY8cGPxM//vjjNTNOnjy5UV37bdu2NR0fuVwOX19fPPjgg0hLS7vhawHg888/R3R0NNRqNfz9/TFt2jQUFhaa1icnJ6OgoADOzs4YMGAAHBwcoNVqMWrUKCQmJprabd26FTKZDGvWrKm3j5UrV0ImkyEhIcGUefLkyWZt6t6Tbdu2mZbt2LED48aNQ1BQkOkYz5w5ExUVFWavffXVV+t9llasWIGuXbtCo9HAw8MDDz/8cL33ZPLkyXBycjJb9uOPP9bLAQBOTk71MgON+14NHDjQdPw7dOiAmJgYHD16tMHvVUOu/p57enpi5MiRZu8/UPv9mT59+jW3s2zZMrPP9/79+2E0GlFVVYUePXpc970CgC1btqB///5wdHSEq6sr7r33XiQlJZm1qTsWp06dwvjx4+Hi4mI6lVZZWVkv75Xf95qaGtx9991wd3fHyZMnzdo29vdXa8QemRasrujw8PAAAJw/fx5r167FuHHjEBISguzsbPznP//BgAEDcPLkSfj7+wMADAYDRo0ahfj4eDz00EN47rnnUFJSgk2bNiExMRGhoaGmfTz88MO4++67zfY7Z86cBvO89dZbkMlk+Ne//oWcnBwsWLAAcXFxOHLkCOzt7QHU/qIYMWIEYmJiMG/ePMjlcixduhSDBg3Cjh070KtXr3rbDQgIwPz58wEApaWlePrppxvc99y5czF+/Hj8/e9/R25uLj799FPceeedOHz4MFxdXeu95sknn0T//v0BAD///HO9P1BTp041jU969tlnkZKSgs8++wyHDx/Grl27oFKpGnwfbkZhYaHpZ7uS0WjEPffcg507d+LJJ59EVFQUjh8/jo8//hinT582G1R5q8rLyzFgwABkZGRg6tSpCAoKwu7duzFnzhxcunQJCxYssNi+mqp///548sknYTQakZiYiAULFiAzMxM7duy47uteffVVvPbaa4iLi8PTTz+N5ORkfPHFF9i/f7/pGObl5QGo/VyHh4fjtddeQ2VlJRYtWoR+/fph//79iIiIwMCBAxEYGIgVK1bg/vvvN9vPihUrEBoaajqt0lirV69GeXk5nn76aXh4eGDfvn349NNPcfHiRaxevfqar1u5ciUmTpyILl26YP78+cjLy8PChQuxc+dOHD58GJ6enjeV41qa8r2q869//eum9hUZGYmXXnoJQgicO3cOH330Ee6+++5GF6wNqTu206dPR0xMDN555x3k5uY2+F5t3rwZI0aMQLt27fDqq6+ioqICn376Kfr164dDhw7VK7rHjx+Ptm3bYv78+dizZw8WLlyIgoICfPPNN9fM8/e//x3btm3Dpk2b0KFDB9PyW3mfWwVBNm/p0qUCgNi8ebPIzc0V6enpYtWqVcLDw0PY29uLixcvCiGEqKysFAaDwey1KSkpQq1Wi9dff9207OuvvxYAxEcffVRvX0aj0fQ6AOL999+v1yY6OloMGDDA9Hzr1q0CgGjTpo0oLi42Lf/hhx8EAPHJJ5+Yth0eHi6GDRtm2o8QQpSXl4uQkBAxZMiQevvq27ev6Nixo+l5bm6uACDmzZtnWpaamioUCoV46623zF57/PhxoVQq6y0/c+aMACCWL19uWjZv3jxx5ddlx44dAoBYsWKF2Ws3bNhQb3lwcLAYOXJkvezTpk0TV38Fr87+wgsvCG9vbxETE2P2nv7vf/8Tcrlc7Nixw+z1ixcvFgDErl276u3vSgMGDBDR0dH1lr///vsCgEhJSTEte+ONN4Sjo6M4ffq0Wdt///vfQqFQiLS0NCFE0z4Tq1evvmbGSZMmieDg4Ov+HELUvr+TJk0yW/bII48IBweH674uJydH2NnZiaFDh5p9Lz777DMBQHz99ddmWT09PYVOpzO1O336tFCpVGLs2LGmZXPmzBFqtVoUFhaa7UepVJod15CQEPHoo4+a5anbz9atW03LysvL6+WeP3++kMlk4sKFC6ZlV34+a2pqhI+PjwgNDRWlpaWmNtu2bRMAxD//+U/TskmTJglHR0ez7a9evbpeDiGEcHR0NHufb+Z7NWDAALPjv379egFADB8+vN53oCFXv14IIV588UUBQOTk5JiWARDTpk275nbqflfWfb7rnnfo0MHsva47Fle+V127dhXe3t4iLy/PtOzo0aNCLpebHcu6Y3HPPfeY7fsf//iHACCOHj1qlrfuczFnzhyhUCjE2rVrzV53s7+/WiOeWmpB4uLi4OXlhcDAQDz00ENwcnLCmjVr0KZNGwC1s5nk8tpDbjAYkJeXBycnJ7Rv3x6HDh0ybeenn36Cp6cnnnnmmXr7aEw38LU8+uijcHZ2Nj1/4IEH4Ofnh/Xr1wOonY555swZPPLII8jLy4NOp4NOp0NZWRkGDx6Mv/76y+xUBlB7Ckyj0Vx3vz///DOMRiPGjx9v2qZOp4Ovry/Cw8OxdetWs/ZVVVUAat+va1m9ejW0Wi2GDBlits2YmBg4OTnV22Z1dbVZO51OV6+b+WoZGRn49NNPMXfu3Hrd/6tXr0ZUVBQiIyPNtll3OvHq/d+K1atXo3///nBzczPbV1xcHAwGA/766y+z9uXl5fV+VoPB0OC2S0pKoNPpzE7lNIVer4dOp0NOTg42bdqELVu2YPDgwdd9zebNm1FVVYUZM2aYvhcAMGXKFLi4uNSbGvzYY4+ZejcBIDw8HPfccw82bNhg+vkeffRR6PV6s1Nm33//PWpqajBx4kTTMm9vb1y8ePGGP1ddTyUAlJWVQafToW/fvhBC4PDhw/Xa63Q6bNu2DdnZ2Zg6dSocHR1N6wYMGICYmBiLTXm+2e9VHSEE5syZg7Fjx6J3796N3l/ddyg3NxcJCQlYs2YNOnfuXK93qbKyEjqdDnl5efV+X1zLtGnTzN7rgQMHmr1Xly5dwpEjRzB58mS4u7ub2nXu3BlDhgwx/Q67eptXqvt92lDbzz77DPPnz8fChQtx7733mq1r6vvcmvDUUguyaNEiREREQKlUwsfHB+3btzf7BW00GvHJJ5/g888/R0pKitkflyt/QZ87dw7t27eHUmnZj0d4eLjZc5lMhrCwMNP56roLUE2aNOma2ygqKoKbm5vpuU6nq7fdq505cwZCiGu2u/oUUN0f1auLh6u3WVRUBG9v7wbX5+TkmD3/888/4eXldd2cV5s3bx78/f0xderUemNJzpw5g6SkpGtu8+r934ozZ87g2LFjjd7XvHnzMG/evHrtGroMwOOPP276t5OTE0aPHo2PP/74pi8ZsGrVKqxatcr0vGfPnvjvf/973ddcuHABANC+fXuz5XZ2dmjXrp1pfV3xHhkZWW8bUVFR+Omnn6DT6eDj44PIyEj07NkTK1aswBNPPAGg9rRSnz59EBYWZnpd3759sXDhQqxatQqDBg2CXC5HUVFRve2npaXhlVdewa+//lpv7FVD7a88Rlf/XHV5rzcu6Wbc7PeqzooVK3DixAn88MMPWLlyZaP3t3v3brOfLzw8HGvXrq33n6slS5ZgyZIlAGqPZe/evfHRRx+ZJkJc6UbHtu69utZnpa7dxo0bUVZWZlY4Xv2+hIaGQi6X1xt/9scff+DAgQMAascxXq2p73NrwkKmBenVq1eDX9Y6b7/9NubOnYvHH38cb7zxBtzd3SGXyzFjxoxG/8+lOdVleP/999G1a9cG21xZXFRVVeHSpUsYMmTIDbcrk8nwxx9/QKFQXHebAJCVlQUA8PX1ve42vb29sWLFigbXX/1Hv3fv3njzzTfNln322Wf45ZdfGnx9UlISli1bhm+//bbBX1RGoxGdOnXCRx991ODrAwMDr5n9ZhmNRgwZMgQvvPBCg+sjIiLMnj/55JMYN26c2bJrTbN95ZVX0L9/f1RXV+PgwYN4/fXXUVhY2OD/Wq9n6NChmD17NgDg4sWLePfdd3HXXXfhwIEDZv/Tboqbff2jjz6K5557DhcvXoRer8eePXvw2WefmbV58cUXsWvXruvOJjQYDBgyZAjy8/Pxr3/9C5GRkXB0dERGRgYmT57c4Hd206ZNSEhIwCuvvHJTmZviZr9XQO13du7cuXjiiSfqfW5upHPnzvjwww8BwDSOZeDAgTh06JDZd/Xee+/F9OnTIYRASkoKXn/9dYwaNarBK/Xe6mfjZlyrN3vfvn2YMmUKHB0d8eabb2LcuHFmBVNT3ufWhoVMK/Ljjz/irrvuMv1vpU5hYaFZ92xoaCj27t2L6upqi1b7V/8iEULg7Nmz6Ny5s2m/AODi4oK4uLgbbu/o0aOorq6+bvFWt10hBEJCQhr1y/PkyZOQyWQN/u/rym1u3rwZ/fr1a9QvQ09Pz3o/0/UG5M6ZMwddu3bFgw8+eM39Hz16FIMHD76l032NERoaitLS0kYdE6D2f6JXt73yf6pX6tSpk6ntiBEjkJaWhuXLl9/0Zf/9/PzM9tm+fXv07dsXa9euvWaxEBwcDKB2VlK7du1My6uqqpCSkmLaXkhIiKnd1U6dOgVHR0ez789DDz2EWbNm4bvvvkNFRQVUKlW94+jp6YmEhAScPHnSVDgfPXoUzz//vKnN8ePHcfr0aSxfvhyPPvqoafmmTZuu+T7ExcVBq9XilVdeuWZeS13k7Wa/V0DtDLGcnJwGZxXeiJubm9kxHjhwIPz9/bF06VKzCQYBAQFm7ZycnDBhwoQGT8VdeWzrTsvWufK9uvKzcrVTp07B09Oz3mf8zJkzpu0DwNmzZ2E0Guu9/0OGDMEXX3yByspKrF27Fk8++aRpBhvQtPe5teEYmVZEoVBACGG2bPXq1cjIyDBbNnbsWOh0unr/iwRQ7/U345tvvkFJSYnp+Y8//ohLly5hxIgRAICYmBiEhobigw8+QGlpab3X5+bm1suuUCganNp8pTFjxkChUOC1116rl18IYZq5ANROf/zpp5/Qq1ev6/5PZ/z48TAYDHjjjTfqraupqbmlMR8JCQn45Zdf8M4771yzSBk/fjwyMjLw1Vdf1VtXUVGBsrKyJu+/oX0lJCRg48aN9dYVFhZa9F5DRqMRcrn8louzuunJ15uKHhcXBzs7OyxcuNDsc7FkyRIUFRWZrjjr5eWFHj16YPny5Wand86dO4dff/0VI0aMMPufsqenJ0aMGIFvv/0WK1aswPDhwxucJSSXy9GxY0fExcUhLi6u3hWC67Z5ZTYhBD755JPr/uxdu3aFj48PvvrqK5SXl5uW79ixAwcOHLjh96WxbuZ7BdSOh3rrrbcwc+bM6/Z2NlZjjjHw/z29DfVmdOvWDb6+vli8eLHZdq5+r/z8/NC1a1csX77c7LudmJiIP//8s97MTaD2VP+VPv30UwAw/b6r07dvXygUCjg6OmLx4sX466+/zL7XN/s+t0bskWlFRo0ahddffx2PPfYY+vbti+PHj2PFihVm/xsFarvGv/nmG8yaNQv79u1D//79UVZWhs2bN+Mf//hHvcFojeXu7o477rgDjz32GLKzs7FgwQKEhYWZTjvI5XL897//xYgRIxAdHY3HHnsMbdq0QUZGBrZu3QoXFxesW7cOZWVlWLRoERYuXIiIiAiz613UFUDHjh1DQkICYmNjERoaijfffBNz5sxBamoq7rvvPjg7OyMlJQVr1qzBk08+ieeffx6bN2/G3LlzcezYMaxbt+66P8uAAQMwdepUzJ8/H0eOHMHQoUOhUqlw5swZrF69Gp988gkeeOCBJr1Pf/75J4YMGXLdHpC//e1v+OGHH/DUU09h69at6NevHwwGA06dOoUffvgBGzduvGFPVWlpKTZs2GC2rO5/nNu3b4dKpUKbNm0we/Zs/Prrrxg1ahQmT56MmJgYlJWV4fjx4/jxxx+Rmpra5Om8R44cgZOTE2pqanDw4EF88803uPfeexv8o3M958+fx7fffgugdpD0Z599BhcXl+sO+PXy8sKcOXPw2muvYfjw4bjnnnuQnJyMzz//HD179jQbnPvee+9h6NChiI2Nxd///nfT9GuNRoO33nqr3rYfffRR0/FvqNhtjMjISISGhuL5559HRkYGXFxc8NNPP9UbK3M1lUqFd999F5MnT0a/fv0wadIk5Ofn45NPPkGbNm3qTXs2GAxmn4MjR44AqD3lceWAdIPBgIyMDOzbtw+9evVq9PeqzqFDh+Dp6XnNU5Q3kp2dbTrGOp0O//nPf6BUKusVZmlpadiwYYPp1NJbb72F4OBgdOvWrV6vsFKpxHvvvYdHH30U/fv3x4QJE0ynrQICAszeq/fffx8jRoxAbGwsnnjiCdP0a61W22APU0pKCu655x4MHz4cCQkJ+Pbbb/HII4+gS5cu1/wZhw0bhokTJ+KFF17A6NGj4efnd9Pvc6t0O6dIUfOom0K4f//+67arrKwU//znP4Wfn5+wt7cX/fr1EwkJCQ1ObSwvLxcvvfSSCAkJESqVSvj6+ooHHnhAnDt3TgjRtKm23333nZgzZ47w9vYW9vb2YuTIkWZTSOscPnxYjBkzRnh4eAi1Wi2Cg4PF+PHjRXx8vNm+b/S4ekruTz/9JO644w7h6OgoHB0dRWRkpJg2bZpITk4WQgjxzDPPiDvvvFNs2LChXqarp1/X+fLLL0VMTIywt7cXzs7OolOnTuKFF14QmZmZpjY3O/1aJpOJgwcPmi1v6BhVVVWJd999V0RHRwu1Wi3c3NxETEyMeO2110RRUVG9/V29vRu9f0uXLjW1LykpEXPmzBFhYWHCzs5OeHp6ir59+4oPPvhAVFVVCSGa9pmoeyiVShEcHCyeffZZUVBQIIS4uenXV27L09NTDB06VCQkJNzwtULUTreOjIwUKpVK+Pj4iKefftqU4Urx8fGiX79+wt7eXri4uIiRI0eK48ePN7hNvV4v3NzchFarFRUVFY3K0dD065MnT4q4uDjh5OQkPD09xZQpU8TRo0frHZ+GPp+rVq0SXbt2NX02HnzwQZGammrWZtKkSY36Ll35uPpzeKPvlRD//3n7+OOPzV57re/V1a7+vLq6uop+/fqJ9evXm7W7so1MJhO+vr5izJgxIikpSQhRf/p1nR9++EF069ZNqNVq4e7uLh5++OEGfzdt3rzZ7DMwevRocfLkyQZ/ppMnT4oHHnhAODs7Czc3NzF9+vR6nwVcdbkFIYTQ6XTCy8tL3H///WbLG/M+t1YyIW7hXAFRI2zbtg133XUXVq9e3eReiiulpqYiJCQEKSkp1zzf/+qrryI1NRXLli275f21Rm3btsWrr77a4JVc6cZqamrg7++P0aNH1xuTZsuWLVuGZcuW1bvqL/2/uoss5ubmWuzCg3R9HCNDRGRha9euRW5urtkgXSJqHhwjQzanbhbC9Qbjdu7c2XTLBbp5AwYMMF1IkRpv7969OHbsGN544w1069YNAwYMkDqSRbVp06bB24QQSYmFDNkcT09P06C/axkzZsxtStMyLV++XOoINumLL77At99+i65du7bI05pDhgy54XWbiG43jpEhIiIim8UxMkRERGSzWMgQERGRzWrxY2SMRiMyMzPh7Ozc7JdyJyIiIssQQqCkpAT+/v5mN0C+WosvZDIzMy16Az0iIiK6fdLT0xEQEHDN9S2+kHF2dgZQ+0a4uLhInIaIiIgao7i4GIGBgaa/49fS4guZutNJLi4uLGSIiIhszI2GhXCwLxEREdksFjJERERks1jIEBERkc1iIUNEREQ2i4UMERER2SwWMkRERGSzWMgQERGRzWIhQ0RERDaLhQwRERHZLBYyREREZLNYyBAREZHNYiFDRERENouFDBEREdksFjJERERks5RSByCi+tLS0qDT6W77fj09PREUFHTb90tE1FQsZIisTFpaGiKjolBRXn7b923v4IBTSUksZojIZrCQIbIyOp0OFeXlmPCv9+ETFHrb9puddg4r3p0NnU7HQoaIbAYLGSIr5RMUioDwaKljEBFZNQ72JSIiIpvFQoaIiIhslqSFTNu2bSGTyeo9pk2bBgCorKzEtGnT4OHhAScnJ4wdOxbZ2dlSRiYiIiIrImkhs3//fly6dMn02LRpEwBg3LhxAICZM2di3bp1WL16NbZv347MzEyMGTNGyshERERkRSQd7Ovl5WX2/J133kFoaCgGDBiAoqIiLFmyBCtXrsSgQYMAAEuXLkVUVBT27NmDPn36SBGZiIiIrIjVjJGpqqrCt99+i8cffxwymQwHDx5EdXU14uLiTG0iIyMRFBSEhISEa25Hr9ejuLjY7EFEREQtk9UUMmvXrkVhYSEmT54MAMjKyoKdnR1cXV3N2vn4+CArK+ua25k/fz60Wq3pERgY2IypiYiISEpWU8gsWbIEI0aMgL+//y1tZ86cOSgqKjI90tPTLZSQiIiIrI1VXBDvwoUL2Lx5M37++WfTMl9fX1RVVaGwsNCsVyY7Oxu+vr7X3JZarYZarW7OuERERGQlrKJHZunSpfD29sbIkSNNy2JiYqBSqRAfH29alpycjLS0NMTGxkoRk4iIiKyM5D0yRqMRS5cuxaRJk6BU/n8crVaLJ554ArNmzYK7uztcXFzwzDPPIDY2ljOWiIiICIAVFDKbN29GWloaHn/88XrrPv74Y8jlcowdOxZ6vR7Dhg3D559/LkFKIiIiskaSFzJDhw6FEKLBdRqNBosWLcKiRYtucyoiIiKyBVYxRoaIiIioKSTvkSEi6ZVUViOtTA73IU/j9e15KNm6DeVVBshlMmhUcgS6OyDY3QHdg90Q284D3i4aqSMTEQFgIUPUaulrDDidVYqTl4qRVVwJQAnn7iNxJLsKQJVZ23O5ZQCA5QkXAAChbioMDLbHHUEaaDWKW87i6emJoKCgW94OEbU+LGSIWhl9jQFH0gtxOK0Q+hojAEAGwFlehfQ9v6E69wIMxbkw6ssAmRxytQOUWh+oPIOgDuwIO592OFdQjXMF1fhqfy7Kjm9C0d6fYSjOaXImewcHnEpKYjFDRDeNhQxRKyGEQFJWCXae0aGi2gAAcHNQoaO/Fu19nXFq53oc3/o1Rk59Ce07x1xzO5WGGlwsl+NCqRyFUMO5+yi4dB+Jdk5GdNAaYHeTHTTZaeew4t3Z0Ol0LGSI6KaxkCFqBYorqrEpKRsXCyoA1BYwvUM8EO7jBLlMZtbWwz8YAeHR191eGGoLo4sFFThwoQBp+eU4V6rAxUoV7gjzRLS/C2RXbZeIqDmwkCFq4c7llmLTyWzoa4xQymXo3c4d3QLdoJDfWqEhk8kQ6O6AQHcHpOWX46/Tucgrq0L8qRyczi7B4CgfaO1VFvopiIgaxunXRC2UEAI7z+rw27FL0NcY4eOixsQ+wegR7H7LRczVgtwd8EivIPQP94RSLkN6QQVW7k1DclaJRfdDRHQ19sgQtUDVBiM2nsgyzTbqHuSKvqGeFi9griSXy9A9yA0hno7YdDIbl4oqseFEFtLyy3FXey8oFfx/ExFZHn+zELUwldUG/HwoA+dyy6CQyTAs2gf9w72atYi5kpuDHR7oHoBebd0BACcvFePHQxdRqq+5LfsnotaFhQxRC1JeVYOfD2Ugq7gSaqUc93drg0hfl9ueQy6XITbUA/d3awONUo7sYj1W7UtDVlHlbc9CRC0bCxmiFqK8qgY/HcpAbqkeDnYKPBATgDZu9pJmCnJ3wIM9A+HuaIeyKgN+PHQRpy4VS5qJiFoWFjJELUBltQFrDmcgv6wKTmolHugeAE8ntdSxAACuDnYY3yMAIZ6OMBgFNp7Mxu5zumveLJaI6GawkCGycVU1RvxyJBO60io42CkwpnsbuDnaSR3LjFqpwOjOfujZ1g0AsD+1AJuSsmEwspgholvDWUtENsxoFPgj8ZJpTMx9XdvAzcG6ipg6MpkMfUM94WKvwpZTOUi6VILyKgO6Snv2i4hsHAsZIhslhMDW5Byk5pVDKZfh3q7+8HK2jtNJ19PRXwtHOyXWH7+EC3nlKLZTQm5/+wckE1HLwFNLRDbqYFoBEjNrB84O7+gLP63tdG2EeDpiTPc20KjkKKiSw3fiB8gu5fRsIrp5LGSIbNCFvDLsOpsHABgQ4YVQLyeJE908P609xscEwkEhoHL3x4tb8nAqizOaiOjmsJAhsjFFFdX4IzELABDt74IuAVqJEzWdm6MdBvpUoyo3FQWVRoxfnID9qflSxyIiG8JChsiGVBuM+O1YpuneSQMjvGz+LtP2SiB7xb8Q6alCcWUNJv53L7acypY6FhHZCBYyRDZCCIH4UznQlVbBXqXAyE5+Leb+RUZ9Gebd6YFBkd7Q1xgx5ZuD+PnQRaljEZENaBm/BYlagSPphUjOKoFMBtzdyRfOGpXUkSxKrZThP3+LwZhubWAwCsz64Sj+u+O81LGIyMpx+jWRDbhUVIEdZ3UAgP5hnghwc5A4keUlJSUBAB4JE6guc8S602V48/cknDyXhgmdnJvlFJqnpyeCgoIsvl0iun1YyBBZOX2NARsSsyAEEOHthK6BrlJHsqji/FwAwMSJE82Wu/R+AG4DJ+PnU2VY/v3PyN+4CBBGi+7b3sEBp5KSWMwQ2TAWMkRWbmtyLoora+CiUWJQlLfND+69WkVp7ZTrkVNfQvvOMWbrUkprcChfAecuw9C+zxD08qiBpYYFZaedw4p3Z0On07GQIbJhLGSIrNipS8WmcTHDO/pCrVRIHanZePgHIyA82mxZAAC/nFJsSMxCZoUce4pdMLqLHxzs+KuLiGpxsC+RlSqtqe2NAYDeIe42deVeSwrzdsJ93fyhVsqRVVyJ7/enI69UL3UsIrISLGSIrJFcgf06JaoMRvi7atCzrbvUiSQV4OaAB3sEQmtfe62ZHw5eRFp+udSxiMgKsJAhskLavg8hv0oOO6Ucw6J9IW9h42Kaws3RDg/2CIS/VoOqGiN+OZKB4xeLIISQOhoRSYiFDJGVOZtfBW3seADA4EhvuLSw68XcCns7Be7v3gbtfZ1hFMCW5BxsTspBjcGys5mIyHawkCGyIvoaAz7dVwSZXIEABwMifJyljmR1lHI5hnXwQb9QD8gAnLxUjO8PpKOwvErqaEQkARYyRFZkYfwZpBfXwFBWgK5uBqnjWC2ZTIYebd1xf7c2sFcpoCutwnf703E+t1TqaER0m7GQIbISxy4WYvH22kvy5/35OdQtd6a1xQS6O+CRXkHwuzxuZt2xS9h6KgfVPNVE1GqwkCGyAvoaA55ffRQGo0C/QA0qTidIHclmOGmUGNs9wHTF42MZRVixNw2ZhRXSBiOi24KFDJEVWBh/BqezS+HhaIcp3bVSx7E5CrkMAyK8cF9XfziplSiqqMbqgxex86yOA4GJWjgWMkQSS8woMp1SevO+jnBR82vZVMEejpjYOwhRfrWDpA9eKMCKfWlIzSuTOBkRNRf+xiSSUI3BiH//fAwGo8DIzn4Y0clP6kg2T61SYGgHX4zu7AcHOwUKy6vxy5FMrDuaiaKKaqnjEZGF8YYlRBJannABiRnFcNEoMW90B6njtCjtvJzQxs0ee1PycTS9EOd1ZbiQX47uQa6ICXaTOh4RWYjkPTIZGRmYOHEiPDw8YG9vj06dOuHAgQOm9UIIvPLKK/Dz84O9vT3i4uJw5swZCRMTWUZGYQU+/DMZAPDvEVHwdtZInKjlUSsVuDPcCxN6ByPI3QEGo8D+1AIs25WKU0VyyFR8z4lsnaSFTEFBAfr16weVSoU//vgDJ0+exIcffgg3t///39J7772HhQsXYvHixdi7dy8cHR0xbNgwVFZWSpic6NYIITDvl0SUVxnQI9gND/UMlDpSi+buaIf7uvpjZCc/uDmoUFljxIkiJdo8tQRrTpWivKpG6ohE1ESSnlp69913ERgYiKVLl5qWhYSEmP4thMCCBQvw8ssv49577wUAfPPNN/Dx8cHatWvx0EMP3fbMRJaw8UQWNiflQKWQ4e0xnSCX815KzU0mkyHM2wntvBxxOrsEu5KzUOqgxf+OleC3s1swsU8w/hYbzJ4xIhsjaSHz66+/YtiwYRg3bhy2b9+ONm3a4B//+AemTJkCAEhJSUFWVhbi4uJMr9FqtejduzcSEhIaLGT0ej30er3peXFxcfP/IEQ3oaSyGvN+PQEAmHpnKG9DcJvJZTJE+rrAoTgdXy3+DBH3P4f8cuDTLWfxxbazuDPIHqPbOyJY23z3uPL09ERQUFCzbZ+oNZG0kDl//jy++OILzJo1Cy+++CL279+PZ599FnZ2dpg0aRKysrIAAD4+Pmav8/HxMa272vz58/Haa681e3aipvrwz9PILtajrYcDpg8KkzpOq1VakIuyxC04fGIbHML7wLnX/dC0icKW1ApsSa1ARcohFO9bg8rUwxbft72DA04lJbGYIbIASQsZo9GIHj164O233wYAdOvWDYmJiVi8eDEmTZrUpG3OmTMHs2bNMj0vLi5GYCDHH5B1OJFZhG8SUgEAb93fCRoV70MglYrS2t7akU/OQfvOMQCAPH01zhQrkFEhg31Id9iHdIeLyohwZyMCHY1QWOAMYHbaOax4dzZ0Oh0LGSILkLSQ8fPzQ4cO5lNOo6Ki8NNPPwEAfH19AQDZ2dnw8/v/62tkZ2eja9euDW5TrVZDrVY3T2CiW1A7wPcEjAIY1dkP/cI8pY5EADz8gxEQHg0ACADQBUBRRTWOpBXixKUiFFfLcTBfjqRSBboEuKJTgBb2LECJrIaks5b69euH5ORks2WnT59GcHAwgNqBv76+voiPjzetLy4uxt69exEbG3tbsxLdqrVHMnDgQgHsVQq8NDJK6jh0HVp7FQa098IT/ULQL8wDTmolyqsMSDifh693pmDrqRwUlFdJHZOIIHGPzMyZM9G3b1+8/fbbGD9+PPbt24cvv/wSX375JYDaWQYzZszAm2++ifDwcISEhGDu3Lnw9/fHfffdJ2V0optSUlmNt9efAgA8MzgMflp7iRNRY6hVCvQIdke3QDecyS7BobRC5JbqcSyjCMcyihDh44Q+IR5wc7STOipRqyVpIdOzZ0+sWbMGc+bMweuvv46QkBAsWLAAEyZMMLV54YUXUFZWhieffBKFhYW44447sGHDBmg0nCJJtmNh/BnklugR4umIJ+4IufELyKoo5DJE+rmgva8zLhZU4FBaAVLzynE6uxRnsksR6eeM3iEe0No330wnImqY5LcoGDVqFEaNGnXN9TKZDK+//jpef/3125iKyHLOZJdg6a5UAMC80R2gVnJ8ha2SyWQIdHdAoLsDckv02HM+D+d1ZUi6VILkrBJE+2sR284D9nY8xkS3i+SFDFFLJoTAq+tOoMYoEBflg4HtvaWORBbi5azG6C7+yCqqxJ7zebiQX47jGUU4k12CvmGeiPZ3gVzGCx0SNTfJ77VE1JJtPJGFXWfzYKeU45VRvClkS+Sr1eC+bm3wQPcAeDrZobLGiC2ncvDDgXRkFfNWKkTNjYUMUTPR1xgw/4/aAb5T72yHIA8HiRNRc2rjZo+HewbhznBP2CnkyC7W4/v96dh+Ohc1BqPU8YhaLBYyRM3kfwkXcCGvHF7Oajw1IFTqOHQbyOUydAtyw6OxwWjvW3vriSPphVi5Lw3Z7J0hahYsZIiaQX5ZFT6JPwMAmD20PRzVHI7WmjiqlRge7Yt7uvjD0U6BgvJq/HAgHYfTCiCE1OmIWhYWMkTNYGH8GZRU1iDKzwVjYwKkjkMSCfF0xMQ+wQjzcoJRAH+d0WGPTgmZHU8zElkKCxkiCzubU4r/7bkAAHh5ZBQUcs5cac00KgXu7uSLgRFeUMhkyKyQw+/RD5FZUiN1NKIWgYUMkYW980cSDEaBwZHevJ8SAai9/kyXQFeM6xEAe4WAyiMQL2zWYfdZndTRiGweCxkiC9p1VofNSTlQyGWYczfvp0TmfFw0GORbjcqLJ1BeLTB56X78fuyS1LGIbBoLGSILMRoF3vo9CQAwsXcQwrydJE5E1kijALJXvYzYAA2qDEZM/+4QvklIlToWkc1iIUNkIeuOZeLkpWI4q5V4Li5C6jhkzQzVmNXHFRP7BEEI4JVfTuDDP5MhOKWJ6KaxkCGygKoaIz788zQA4Mk728Gdd0OmG1DIZXjj3o6Yebno/XTLWby0NhFGI4sZopvBQobIAr4/kI60/HJ4Otnhcd7dmhpJJpPhubhwvHV/R8hlwMq9aXh13Qn2zBDdBBYyRLeoosqAhZcvfjf9rjBe/I5u2oTewfhgXBfIZMA3CRfw1u9JLGaIGomFDNEtWro7BbklegS42ePh3kFSxyEbNaZ7AN6+vxMA4L87U0ynKono+ljIEN2CovJqLN52DgAwa0gE1EqFxInIlj3cKwiv3xsNAPhs61l8ermnj4iujYUM0S1Y/Nc5FFfWIMLHCfd2bSN1HGoBHo1ti5dH1l6D6MNNp7F0V4rEiYisG0/mE11HWloadLqGr76aX2HAkh05AIAxYSocPXLYIvtMSkqyyHbIdv29fztUVBnw4abTeP23k2jjao+h0b5SxyKySixkiK4hLS0NkVFRqCgvb3C92+An4dLjHlRmJOHpe2ZbfP+lpaUW3ybZjumDwpBZVInv9qXh2VWHserJWHQNdJU6FpHVYSFDdA06nQ4V5eWY8K/34RMUarauogbYkKmCEcCQbmHwjv3ZYvtN2rcdfyz/BJWVlRbbJtkemUyGN+6NxqWiCmxLzsXfl+/Hmn/0Q6A775xNdCUWMkQ34BMUioDwaLNl25JzYEQR/LUadOsYBpnMcne4zk47Z7FtkW1TKuT47JHuGL84AScvFWPS0n34+em+cHXgBReJ6nCwL9FNKtXXIDGzGADQu52HRYsYoqs5qZVY+lhP+Gk1OJ9bhif/dxBVNUapYxFZDRYyRDfpYGoBDEYBP60GgW72UsehVsDHRYOlj/WEk1qJfSn5eOv3k1JHIrIaLGSIbkKZvgbHM4sAAH3YG0O3UaSvCz5+sCsAYHnCBaw+kC5tICIrwUKG6CYcuMDeGJLOkA4+mBEXDgB4aW0ijl0slDYQkRVgIUPUSGX6GhzPqO2N6R3izt4YksSzg8IRF+WDqhojnvrfQehK9VJHIpIUCxmiRrqyNyaIU2BJInK5DB892AXtvByRWVSJaSsOodrAwb/UerGQIWqE8qoaJLI3hqyEi0aFL//WA05qJfam5OO9DaekjkQkGRYyRI1wNL0INUYBHxc1e2PIKoR5O+GDcV0AAF/tSEF8UrbEiYikwUKG6AaqjcDRy4MqY4Ld2BtDVmN4R1881q8tAOCfq48is7BC2kBEEmAhQ3QDKaVy6GuMcHVQIdTLSeo4RGbmjIhC5wAtCsur8ex3h1HD8TLUyvAWBUTXI1fibIkCABAT5AY5e2PIQix5l/OnOtvh+WwZDlwowAv/+wsTO7s02M7T0xNBQUEW2y+RNWAhQ3QdjtEDUWGQwdFOgUg/Z6njUAtQnJ8LAJg4caJFt+vQvh+87puDn0+V4YvX/4nKlEP12tg7OOBUUhKLGWpRWMgQXYNRCGh7jwUAdAtyg1LOM7F06ypKa+/TNXLqS2jfOcai2z6cb8D5UgWCHnoNcX7V0Cj+f1122jmseHc2dDodCxlqUVjIEF3D/kw9VB6BUMkEOrZpuKueqKk8/IPr3VX9VvkajPj+QDp0pVU4UemKe7r4c3A6tXj8LyZRA4QQ+DmpFADQztkItVJxg1cQSU+pkGNYtC8UchlS88pNV6ImaslYyBA1YG9KPs7kV0PUVCHM2SB1HKJG83RSo1+oBwBgxxkdCsqqJE5E1LxYyBA14L87UgAApcfjzcYZENmCroGuCHS3R41RYMOJLBiMQupIRM1G0kLm1VdfhUwmM3tERkaa1ldWVmLatGnw8PCAk5MTxo4di+xsXr2Smleqrgzxp2o/Z8UH1kobhqgJZDIZhkb5Qq2UI6dEj70peVJHImo2kvfIREdH49KlS6bHzp07TetmzpyJdevWYfXq1di+fTsyMzMxZswYCdNSa7BsdyqEALr7qVGTnyF1HKImcdIoMTjSGwBwILUAOj0H/VLLJPmsJaVSCV9f33rLi4qKsGTJEqxcuRKDBg0CACxduhRRUVHYs2cP+vTpc7ujUitQXFmN1QfSAQCjwh2xRuI8RLci3McZUboyJGWV4ECeEjKlWupIRBYneY/MmTNn4O/vj3bt2mHChAlIS0sDABw8eBDV1dWIi4sztY2MjERQUBASEhKuuT29Xo/i4mKzB1Fj/bA/HWVVBoR7O6GLj53UcYhu2YD2XnBSK1FWI4PrgEeljkNkcZIWMr1798ayZcuwYcMGfPHFF0hJSUH//v1RUlKCrKws2NnZwdXV1ew1Pj4+yMrKuuY258+fD61Wa3oEBgY2809BLYXBKLBsdyoA4PE7Qnj9DWoR1EoF4qJqTzE5x4zGyVzOYqKWRdJCZsSIERg3bhw6d+6MYcOGYf369SgsLMQPP/zQ5G3OmTMHRUVFpkd6eroFE1NLtulkNi4WVMDNQYX7u7WROg6RxQR7OKKtowEymRyf7S9EeVWN1JGILEbyU0tXcnV1RUREBM6ePQtfX19UVVWhsLDQrE12dnaDY2rqqNVquLi4mD2IGuPrXbVTrh/pHQSNinOuqWXp7GZATXEuskoNeG9DstRxiCzGqgqZ0tJSnDt3Dn5+foiJiYFKpUJ8fLxpfXJyMtLS0hAbGythSmqJEjOKsC8lH0q5DH/r01bqOEQWp5IDeRs+BVA7M2/veU7JppZB0kLm+eefx/bt25Gamordu3fj/vvvh0KhwMMPPwytVosnnngCs2bNwtatW3Hw4EE89thjiI2N5Ywlsrilu1IBAHd38oOvViNtGKJmUplyCHEh9gCA2T8e4ykmahEknX598eJFPPzww8jLy4OXlxfuuOMO7NmzB15eXgCAjz/+GHK5HGPHjoVer8ewYcPw+eefSxmZWiBdqR7rjmYCqB3kS9SSTe7qgpP5Amn55Viw+QxevDtK6khEt0TSQmbVqlXXXa/RaLBo0SIsWrToNiWi1uiHA+moMhjRJdAVXQNdpY5D1KwcVHK8cV9HPLH8AP674zzu6eKPjm20UsciajKrGiNDdLsZjAIr9tReu2hi7yCJ0xDdHoOjfDCqsx+MAvjXT8dQYzBKHYmoyVjIUKu2/XQOMgoroLVXYXQXf6njEN0280ZHQ2uvwonMYtOMPSJbxEKGWrVvL/fGjIsJ4JRralW8nNV46fL4mI82nUZaXrnEiYiahoUMtVrp+eXYmpwDAJjQJ1jiNES337geAYht54HKaiNeXHMcQgipIxHdNBYy1Gqt3JcGIYA7wjwR4ukodRyi204mk+HtMZ1gp5Rj51kdfj7Eu72T7WEhQ62SvsaAH/bX3r5iYh8O8qXWK8TTEc8NDgcAvL0+CYXlvBcT2RYWMtQqbUjMQl5ZFXxc1IiL8pE6DpGkpvRvh3BvJ+SVVeH9jbx9AdkWSa8jQySVb/dcAAA83CsISgXreWo9kpKSGlz+aLQd5uYAK/emobNTGcI97Cy2T09PTwQFseeTmgcLGWp1TmUVY39qARRyGR7qyV+u1DoU5+cCACZOnHjNNh53z4RTp8GYsWIvsr6ZBQjLXF/G3sEBp5KSWMxQs2AhQ63Oyr21U66HRPnwvkrUalSUFgMARk59Ce07xzTYptIA/JkpAN8w3DP/Z4Q533ohk512DivenQ2dTsdChpoFCxlqVSqrDVhzuHZmxiO8ki+1Qh7+wQgIj77m+nKnQmxNzkVSsR16RgfDUc0/E2TdODiAWpUNiVkoqaxBG1d73BHmKXUcIqvTsY0WPi5qVBmM2HFWJ3UcohtiqU02IS0tDTrdrf9S/e+2PADAHW0UOHLk8HXbXmtQJFFLJpfJcFd7b3y/Px3JWSXo6O+CADcHqWMRXRMLGbJ6aWlpiIyKQkX5rV1CXenqizZT/wshjPhw2ji8V5LbqNeVlpbe0n6JbI2Piwad2mhxLKMI20/n4uGeQZDLZVLHImoQCxmyejqdDhXl5Zjwr/fhExTa5O0kFiqQXAz42gMPvPOfG7ZP2rcdfyz/BJWVlU3eJ5Gt6hPqgdPZJdCVVuF4ZhG6BLhKHYmoQSxkyGb4BIVed5Di9RiNAht2pQAwICbMHwE+zjd8TXbauSbti6glsFcp0CfUA9uSc5FwLg8RPs6w541VyQpxsC+1Cqn5ZSirMsBepUCIF++rRNQYnfy18HSyg77GiIRzeVLHIWoQCxlqFU5k1F5DI9LXGUo5P/ZEjSGXyzAgwgsAkJhRhNwSvcSJiOrjb3Rq8cr0NUjJKwMARPu7SJyGyLYEuDkgwtsJAsD207kQQkgdicgMCxlq8ZKyiiEE4OuigYeTWuo4RDbnjnBPKOUyZBRW4HQ2Z/GRdWEhQy2aEAInMmtPK0W3YW8MUVM4a1To0dYNALDzrA41Bsvcg4nIEljIUIt2qagSheXVUClkiPC+8UwlImpYTJAbnNRKlOprcCi9UOo4RCYsZKhFS7pU2xsT5u0EOyU/7kRNpVTI0S/MAwBwIDUfZfoaiRMR1eJvdmqxagxGnM6pPZ8f5cvTSkS3qr2PM3xc1Kg2COw5z+nYZB1YyFCLdV5XhqoaI5w1SgS42Usdh8jmyWQy3BleOx37RGYxp2OTVWAhQy1W3WmlSF9nyGS8TwyRJfi72iP88nTsHWc5HZukx0KGWqQyfQ0u5NfeZDLKj6eViCypX5gnFDIZ0vMrkJp3azdzJbpVLGSoRUrOKjFdO8bNwU7qOEQtitZehS6BWgDAjjO5MBjZK0PSYSFDLVJSVu1ppSg/Trkmag692rpDo5KjoLwaJy9fq4lICixkqMXJLdFDV1oFhUyGiEbc5ZqIbp5apUDvkNrp2HtT8lDNi+SRRFjIUItz8vIg3xAvR2hUConTELVcHdu4wEWjRFmVAYd5kTySCAsZalEMRoHkrBIAPK1E1NyUcjliQ2t7ZQ6mFqCi2iBxImqNWMhQi3IhvwwV1QbYqxQIdneUOg5Ri9fexxmeTnaoMhixPzVf6jjUCrGQoRbl1KXa3pj2vs5QyHntGKLmJpPJ0C/MEwBwLL0IxRXVEiei1oaFDLUY+hoDzuvKAABRvjytRHS7BLs7IMDNHgYhsCeFty6g26tJhUy7du2Ql1f/w1pYWIh27drdciiipjiXUwaDUcDNQQUvZ7XUcYhaDZlMhn6htb0ySZdKoCvlrQvo9mlSIZOamgqDof6gLr1ej4yMjFsORdQUp7LrbkngwlsSEN1mvloNwrydAAC7z7FXhm4f5c00/vXXX03/3rhxI7Rarem5wWBAfHw82rZta7FwRI1Vpq/BxfwKALXjY4jo9usb6oFzuaVI0ZUho6ACbXizVroNbqpH5r777sN9990HmUyGSZMmmZ7fd999eOihh7Bp0yZ8+OGHTQryzjvvQCaTYcaMGaZllZWVmDZtGjw8PODk5ISxY8ciOzu7Sdunli05uwQCgJ9WA629Suo4RK2Sm4Mdov1r722265yON5Sk2+KmChmj0Qij0YigoCDk5OSYnhuNRuj1eiQnJ2PUqFE3HWL//v34z3/+g86dO5stnzlzJtatW4fVq1dj+/btyMzMxJgxY256+9Ty1V07pj2v5EskqT4hHlDKZbhUVGkafE/UnJo0RiYlJQWenp4WCVBaWooJEybgq6++gpubm2l5UVERlixZgo8++giDBg1CTEwMli5dit27d2PPnj0W2Te1DAVlVcgp0UMmA8J9nKSOQ9SqOaqV6BbkCgDYfTYP7JSh5nZTY2SuFB8fj/j4eFPPzJW+/vrrRm9n2rRpGDlyJOLi4vDmm2+alh88eBDV1dWIi4szLYuMjERQUBASEhLQp0+fBren1+uh1///iPniYt7MrKU7dbk3JtjdAQ52Tf5IE5GFxAS74fjFIuSXVyHNnlf5oObVpE/Ya6+9hqFDhyI+Ph46nQ4FBQVmj8ZatWoVDh06hPnz59dbl5WVBTs7O7i6upot9/HxQVZW1jW3OX/+fGi1WtMjMDCw0XnI9gghkJz9/xfBIyLpqZUKxATX9rAnFSkAOe95Rs2nSf99Xbx4MZYtW4a//e1vTd5xeno6nnvuOWzatAkajabJ27nanDlzMGvWLNPz4uJiFjMtWFZxJYoqqqFSyBDqxdNKRNaiS6ArDqUVoqzaAKeOg6WOQy1Yk3pkqqqq0Ldv31va8cGDB5GTk4Pu3btDqVRCqVRi+/btWLhwIZRKJXx8fFBVVYXCwkKz12VnZ8PX1/ea21Wr1XBxcTF7UMtVN8i3nZcTVAp2YRNZC5VCjh5ta3tltH0fQrWBg2WoeTTpN//f//53rFy58pZ2PHjwYBw/fhxHjhwxPXr06IEJEyaY/q1SqRAfH296TXJyMtLS0hAbG3tL+6aWwWgUOJ1dCgCI5GwlIqvTuY0WGoWAUuuNzefLpY5DLVSTTi1VVlbiyy+/xObNm9G5c2eoVObX7fjoo49uuA1nZ2d07NjRbJmjoyM8PDxMy5944gnMmjUL7u7ucHFxwTPPPIPY2NhrDvSl1iW9oNx0p+tAdwep4xDRVZQKOSJdDDhSoMSPSaX4Z7UBGhXHy5BlNamQOXbsGLp27QoASExMNFtnyUvDf/zxx5DL5Rg7diz0ej2GDRuGzz//3GLbJ9tW1xsT5u3EO10TWam2TkYcSM1GAXzw7Z4L+Ht/3o+PLKtJhczWrVstnQMAsG3bNrPnGo0GixYtwqJFi5plf2S7DEaBc7m1hQwvgkdkvRQyoGj3KniMeA5fbDuHh3sFwVHNyySQ5XB0JNmkC/ll0NcY4ahWwN/VcrPeiMjyShO3wNdJgbyyKixPSJU6DrUwTSqL77rrruueQtqyZUuTAxE1Rt1ppXBvZ97pmsjaGQ14MNoJn+wtwn+2n8fEPsFw0fCeaGQZTeqR6dq1K7p06WJ6dOjQAVVVVTh06BA6depk6YxEZmoMRpy/fFopgrckILIJdwTaI8zbCUUV1fh6Z4rUcagFaVKPzMcff9zg8ldffRWlpaW3FIjoRlLzylFtEHDWKOHrwtNKRLZAIZdhRlw4pq88jCU7UjC5b1u4OthJHYtaAIuOkZk4ceJN3WeJqClOX74lQQRPKxHZlLs7+iHS1xkl+hp8+dd5qeNQC2HRQiYhIcGitxsgulpVjREpujIAvNM1ka2Ry2WYNSQCALB8dyoKyqokTkQtQZNOLY0ZM8bsuRACly5dwoEDBzB37lyLBCNqSIquDDVGAa29Ct7OaqnjENFNGtLBB9H+LjiRWYz/7jyP2cMipY5ENq5JPTJX3l1aq9XC3d0dAwcOxPr16zFv3jxLZyQyOZNz+bSSjxNPKxHZIJlMhmcHhwMAlu++gMJy9srQrWlSj8zSpUstnYPohqqNtQN9ASCCF8EjsllDO/ggys8FSZeKsWRnCv45tL3UkciG3dIYmYMHD+Lbb7/Ft99+i8OHD1sqE1GDMsvlMBgF3B3s4OHI2Q5Etkomk+G5wWEAgGW7UlFUXi1xIrJlTeqRycnJwUMPPYRt27bB1dUVAFBYWIi77roLq1atgpeXlyUzEgEALpbX1t3hPK1EZPOGdvBFex9nJGeX4OtdKZh5eRAw0c1qUo/MM888g5KSEpw4cQL5+fnIz89HYmIiiouL8eyzz1o6IxHkGidkV9YWLzytRGT75PL/Hyvz9a4UFFWwV4aapkmFzIYNG/D5558jKirKtKxDhw5YtGgR/vjjD4uFI6rjEBELARk8nezgztNKRC3CiI6+iPBxQkllDZbtSpU6DtmoJhUyRqMRKlX9+2SoVCoYjcZbDkV0NYeoOwGwN4aoJZHLZXhmUG2vzJKd51FcyV4ZunlNKmQGDRqE5557DpmZmaZlGRkZmDlzJgYPHmyxcEQAUFhpgCaoMwAWMkQtzd2d/BDm7YTiyhp8sztV6jhkg5pUyHz22WcoLi5G27ZtERoaitDQUISEhKC4uBiffvqppTNSK7fnYiVkcgXc7IzQ2vOOuUQtiUIuwzODamcw/XdnCkr1NRInIlvTpFlLgYGBOHToEDZv3oxTp04BAKKiohAXF2fRcEQAsCu9EgAQ4MDTlkQt0ajO/vgk/gzO55Zh+e5UTLsrTOpIZENuqkdmy5Yt6NChA4qLiyGTyTBkyBA888wzeOaZZ9CzZ09ER0djx44dzZWVWqHs4kqczK298icLGaKWyaxXZsd5lLFXhm7CTRUyCxYswJQpU+Di4lJvnVarxdSpU/HRRx9ZLBzR78cuQQCovHgSDk3qPyQiWzC6sz9CPB1RUF6NbxIuSB2HbMhNFTJHjx7F8OHDr7l+6NChOHjw4C2HIqrz27HaAeXlSX9JnISImpNSIcf0y6eUluw8j4oqg8SJyFbcVCGTnZ3d4LTrOkqlErm5ubcciggALhaU41BaIWQAypN3SR2HiJrZPV39EeBmD11pFVbtT5M6DtmIm+qsb9OmDRITExEW1vBArGPHjsHPz88iwYh+P3YJABDtZYfUsgKJ0xDRrUhKSmpUu5HtVPjPwQp8tvkUOtjlQ6Vo+u1IPD09ERQU1OTXk224qULm7rvvxty5czF8+HBoNBqzdRUVFZg3bx5GjRpl0YDUev12uZDpF6jB7xJnIaKmKc6v7aWfOHFi416gUKLN1CXIgwfipryE0qMbm7xvewcHnEpKYjHTwt1UIfPyyy/j559/RkREBKZPn4727WtvvX7q1CksWrQIBoMBL730UrMEpdYlVVeG4xlFUMhl6BOgufELiMgqVZQWAwBGTn0J7TvHNOo1Z4rlOFYIBI2ajqFTpkLehE6Z7LRzWPHubOh0OhYyLdxNFTI+Pj7YvXs3nn76acyZMwdCCAC1t2QfNmwYFi1aBB8fn2YJSq1L3SDfvqEe0GoUEqcholvl4R+MgPDoRrX1MRhxZlcqyqoNKHcJRKRv/ZmyRHVuekJrcHAw1q9fj4KCApw9exZCCISHh8PNza058lErVXdaaXRnfwAcQE7UmqgUcnQNckXCuTzsTy1Aex9nyGRNHytDLVuTblEAAG5ubujZsyd69erFIoYs6mxOCU5llUClkGFYtK/UcYhIAl0CtLBTypFfVoVzuWVSxyEr1uRChqi5rDta2xvTP9wLWgfeW4moNVIrFega4AoA2JeabxrKQHQ1FjJkVYQQWHd5fMzoLpzKT9SadQ10hUohQ26JHhfyyqWOQ1aKhQxZlaRLJTifWwY7pRxxURw4TtSa2dsp0KmNFgB7ZejaWMiQVambrXRXey84a3haiai16x7kBoVchktFlcgorJA6DlkhFjJkNYQQptlKozr7S5yGiKyBo1qJaL/a6df7UvMlTkPWiIUMWY1jF4uQll8Oe5UCg6O8pY5DRFYiJtgNchmQnl+BrKJKqeOQlWEhQ1aj7rTS4ChvONjd9CWOiKiFcrFXob2vMwD2ylB9LGTIKhiNwnSTSJ5WIqKr9WzrDgBI0ZUht0QvcRqyJixkyCocTi9AZlElnNRKDGzvJXUcIrIybg52iPB2AgDsZ68MXYGFDFmFuovgDe3gA42K91Yiovp6XO6VOZNTivyyKonTkLVgIUOSMxgFfj9++bQSL4JHRNfg5axGO09HAMCBC+yVoVqSFjJffPEFOnfuDBcXF7i4uCA2NhZ//PGHaX1lZSWmTZsGDw8PODk5YezYscjOzpYwMTWHfSn5yC3RQ2uvwh1hPK1ERNdWN1bmVFYJiiuqJU5D1kDSQiYgIADvvPMODh48iAMHDmDQoEG49957ceLECQDAzJkzsW7dOqxevRrbt29HZmYmxowZI2VkagZ1s5WGRfvATslOQiK6Nl+tBoHu9hACOHChQOo4ZAUkneM6evRos+dvvfUWvvjiC+zZswcBAQFYsmQJVq5ciUGDBgEAli5diqioKOzZswd9+vSRIjJZWI3BiD8SswAAo7twthIR3Vivtu5Iz8/AyUvF6B3iDkc1L9fQmlnNf38NBgNWrVqFsrIyxMbG4uDBg6iurkZcXJypTWRkJIKCgpCQkHDN7ej1ehQXF5s9yHrtPpeH/LIqeDjaIbadh9RxiMgGtHG1h59WA4NR4FAae2VaO8kLmePHj8PJyQlqtRpPPfUU1qxZgw4dOiArKwt2dnZwdXU1a+/j44OsrKxrbm/+/PnQarWmR2BgYDP/BHQr6k4rDe/oC6VC8o8jEdkAmUxmGitzPKMIFdUGiRORlCT/y9G+fXscOXIEe/fuxdNPP41Jkybh5MmTTd7enDlzUFRUZHqkp6dbMC1ZUlWNERsun1biRfCI6Ga09XCAl7Ma1QaBI2mFUschCUl+YtHOzg5hYWEAgJiYGOzfvx+ffPIJHnzwQVRVVaGwsNCsVyY7Oxu+vr7X3J5arYZarW7u2GQBf53ORXFlDbyd1egV4i51HCKyITKZDD2D3bA+MQtHLxaie7Ar1Epeg6o1krxH5mpGoxF6vR4xMTFQqVSIj483rUtOTkZaWhpiY2MlTEiW8uvR2tNKozr7QyGXSZyGiGxNmLcT3BxU0NcYcexikdRxSCKS9sjMmTMHI0aMQFBQEEpKSrBy5Ups27YNGzduhFarxRNPPIFZs2bB3d0dLi4ueOaZZxAbG8sZSy1AeVUNNp2svSbQPV15WomIbl7dWJk/T2bjcFohuga6QsWxdq2OpIVMTk4OHn30UVy6dAlarRadO3fGxo0bMWTIEADAxx9/DLlcjrFjx0Kv12PYsGH4/PPPpYxMFrI5KQcV1QYEezigS4BW6jhEZKMifJyx53weiitrcCKzGF0DXaWORLeZpIXMkiVLrrteo9Fg0aJFWLRo0W1KRLfLr0dqTyuN7uwPmYynlYioaRRyGWKC3bA1ORcHLxSgUxstT1W3MuyDo9uuqLwa20/nAOBpJSK6dR38XOBop0CpvgZJWbx2WGvDQoZuuw0nLqHaIBDp64wIH2ep4xCRjVMq5Oge7AYAOJBaAKNRSJyIbicWMnTb1c1W4i0JiMhSOrXRQqOSo6iiGmdySqWOQ7cRCxm6rXJKKpFwLg8AcA8LGSKyEJVCjm6Btb0y+1PzIdgp02qwkKHb6vdjl2AUQLcgVwS6O0gdh4hakC4BWtgp5Mgrq8KlCg74bS1YyNBtZTqtxFsSEJGFqVUKdL58OYdTxbzKb2vBQoZum/T8chxOK4RcBozq7Cd1HCJqgboFuUIpl6GgSg5N265Sx6HbgIUM3TZ1vTF92nnA20UjcRoiaokc7JTo2Ka2V0Yb+6DEaeh2YCFDt826y4UMB/kSUXPqHuQKGQQ0QZ2QpKuSOg41MxYydFuczi7BqawSqBQyjOjI00pE1HycNSoEOxoBAD+d5FTslo6FDN0Wdb0xAyK8oHVQSZyGiFq69i4GCKMBh7L0SMzgnbFbMhYy1OyEELwIHhHdVk4qoDxpBwDg821nJU5DzYmFDDW7YxeLcCGvHPYqBYZ08JE6DhG1EkV7VgMA/kjMwtmcEonTUHNhIUPNrq43Jq6DDxzsJL3hOhG1ItW6C+jVRg0hgM+3nZM6DjUTFjLUrAxGwdlKRCSZB6KcAAC/HMlEen65xGmoObCQoWa166wOOSV6uDmoMCDCS+o4RNTKhLnboX+4JwxGgcXb2SvTErGQoWa15nAGAGBUZ3/YKflxI6Lbb/pdYQCA1QcuIru4UuI0ZGn8y0LNpkxfgw2JWQCA+7u3kTgNEbVWvdt5oGdbN1QZjPjqr/NSxyELYyFDzWZDYhYqqg0I8XREt0BXqeMQUSs27XKvzIq9acgv49V+WxIWMtRs6k4r3d+tDWQymcRpiKg1GxDhhU5ttKioNmDprhSp45AFsZChZpFVVIld53QAagsZIiIpyWQyTLsrFACwbHcqiiurJU5ElsJChprFL0cyIATQs60bAt0dpI5DRIShHXwR7u2Eksoa/C/hgtRxyEJYyFCz+P/TSgESJyEiqiWXy0xjZb7acR6l+hqJE5ElsJAhizuZWYxTWSWwU8oxshPvdE1E1mN0F3+083JEYXk1lu9OlToOWQALGbK4nw9dBADERXnzTtdEZFUUchmeGxwOoLZXpoRjZWweCxmyqBqDEb9cviUBTysRkTUa1dkfoeyVaTF4Bz+6KWlpadDpdNdcfzhLj9wSPZztZHApu4hDhzJueZ9JSUm3vA0iojoKuQzPDg7Hc6uO4KsdKZjUty2cNew9tlUsZKjR0tLSEBkVhYrya994zfOeF+AYdScyEn5Fnzf+Y9H9l5aWWnR7RNR6jersj0+3nMXZnFIs25WKZy6fbiLbw0KGGk2n06GivBwT/vU+fIJC663XG4D1GSoYAdw/cjhc7x9mkf0m7duOP5Z/gspK3iOFiCyjrlfm2e8O4787UzCpX1u4sFfGJrGQoZvmExSKgPDoesuPpBfCiFx4O6vRMdpy/7vJTuMda4nI8kZ28sPC+DOmXpln2StjkzjYlyxCCIETmUUAgA5+LhKnISK6sStnMP13x3le7ddGsZAhi8gp0UNXWgWFXIb2vs5SxyEiapS7O/kh3NsJxZU1WLozVeo41AQsZMgiTmYWAwBCvRyhUSkkTkNE1DgKuQzPxdX2yizZeR5FFeyVsTUsZOiW1RiMOJVdAgCI9tdKnIaI6Obc3dEPET6Xe2V4Z2ybw0KGbtnZ3FJU1RjhrFEi0M1e6jhERDdFLpfhucERAIAlO1PYK2NjWMjQLTtx+bRSBz8XyGQyidMQEd28ER190d7HGSWVNfjvjvNSx6GbwEKGbklRRTUuFlQA4GwlIrJdcrkMM4f8f69Mbole4kTUWCxk6JbUDfINcneAiz0vJkVEtmtYtA+6BLqivMqARVvPSh2HGknSQmb+/Pno2bMnnJ2d4e3tjfvuuw/JyclmbSorKzFt2jR4eHjAyckJY8eORXZ2tkSJ6UpGo8DJS7WFTLQ/e2OIyLbJZDK8MKw9AGDl3jRcLLj27VjIekhayGzfvh3Tpk3Dnj17sGnTJlRXV2Po0KEoKysztZk5cybWrVuH1atXY/v27cjMzMSYMWMkTE11UvLKUKqvgb1KgXaejlLHISK6Zf3CPNEvzANVBiMWbD4jdRxqBElvUbBhwwaz58uWLYO3tzcOHjyIO++8E0VFRViyZAlWrlyJQYMGAQCWLl2KqKgo7NmzB3369JEiNl127OLlK/n6u0Cp4FlKImoZZg+LxK6zu/DzoYuYemc7hPvwIp/WzKr++hQV1f5hdHd3BwAcPHgQ1dXViIuLM7WJjIxEUFAQEhISGtyGXq9HcXGx2YMsr7C8Cmn5td2undrw2jFE1HJ0DXTF0A4+MArgwz9PSx2HbsBqChmj0YgZM2agX79+6NixIwAgKysLdnZ2cHV1NWvr4+ODrKysBrczf/58aLVa0yMwMLC5o7dKxzNqi862Hg7QcpAvEbUwzw9rD5kM2HAiC0fTC6WOQ9dhNYXMtGnTkJiYiFWrVt3SdubMmYOioiLTIz093UIJqY7B+P/Xjukc4CptGCKiZhDh44z7u7UBALy38RSEEBInomuxikJm+vTp+O2337B161YEBASYlvv6+qKqqgqFhYVm7bOzs+Hr69vgttRqNVxcXMweZFkXy+XQX76Sb7CHg9RxiIiaxcy4CNgp5Nh1Ng/bT+dKHYeuQdJCRgiB6dOnY82aNdiyZQtCQkLM1sfExEClUiE+Pt60LDk5GWlpaYiNjb3dcemyc6W1H5tObbSQ80q+RNRCBbo7YFLfYADA2+uTUGMwSpyIGiLprKVp06Zh5cqV+OWXX+Ds7Gwa96LVamFvbw+tVosnnngCs2bNgru7O1xcXPDMM88gNjaWM5YkYucTioIqORQyGa8dQ0RWLykp6ZZe39/DiO/sZDidXYoP1+zGkHY37oX29PREUFDQLe2XGk/SQuaLL74AAAwcONBs+dKlSzF58mQAwMcffwy5XI6xY8dCr9dj2LBh+Pzzz29zUqrj1O1uAECYtxMc7CT9+BARXVNxfu2poIkTJ97ytpx73AP3wU/i020pmPPIkxDVlddtb+/ggFNJSSxmbhNJ/xI1ZvCURqPBokWLsGjRotuQiK6ntMoIxw4DAACdAzjlmoisV0Vp7YSEkVNfQvvOMbe0LaMA/rwkUObkjmGvfo8OroZrts1OO4cV786GTqdjIXOb8L/U1GhbUsohV2mgVRnhp9VIHYeI6IY8/IMREB59y9sZ4FqC9cezcKZUib6dwuCk4Z9Pa2EVs5bI+tUYjPjtTO0F8EKdjZBxkC8RtSJhXk7w02pQYxRIOJ8ndRy6AgsZapT1iVnQlRtgKCtAkCNH7hNR6yKTydA/3BMAcPJSMXJL9BInojosZOiGhBD4747zAICSQ79Dwc4YImqF/LT2CPd2AgBsP53Li+RZCRYydEP7UvJx7GIR7BRAyeH1UschIpLMHeGeUMplyCiswOnsUqnjEFjIUCN8dbk3ZmCwA4wVvAknEbVeLhoVeratvbHxjrO5qKrhqXapsZCh6zqXW4rNSTmQyYDREY5SxyEiklz3IFdo7VUo0xuwLzVf6jitHgsZuq4lO1MAAIMjfdDGhdMNiYiUCjnuvDzw93BaAQrKqyRO1LqxkKFryivV46eDFwEAU/qH3KA1EVHrEeLpiLYeDjAKYHsyB/5KiYUMXdO3e9KgrzGic4AWvULcpY5DRGQ1ZDIZ7ozwgkImw4X8cpzXlUkdqdViIUMNKq+qwTcJqQCAv/dvxwvgERFdxc3BDt2DXQEAf53ORTXvji0JFjLUoBV70pBXVoUgdwfc3dFX6jhERFapZ1t3OGuUKK6swR5e8VcSLGSonooqA/7z1zkAwPS7wqBU8GNCRNQQlUKOu9p7AwAOpxWioIq917cb/0JRPSv2XoCutAqB7va4v3sbqeMQEVm1EE9HRPg4QQA4mKcA5AqpI7UqLGTITGW1Af/5q/YCeNMGhkHF3hgiohsaEOEFjVKOomo5XHrcJ3WcVoV/pcjMyr1pyC3Ro42rPcZ0D5A6DhGRTXCwU6J/hBcAQHvHI7hUUiNxotaDhQyZVFYbsHh77diYaXeFwU7JjwcRUWNF+TrDW2OEXKXGfw4W8doytwn/UpHJd/vSkHO5N+aBGPbGEBHdDJlMhm5uNTBWV+JYThV+OJAudaRWgYUMATDvjXl6YCh7Y4iImsBJBRTtXAEAeH3dSaTnl0ucqOXjXysCUNsbk12sh59Wg3E92BtDRNRUxft/QQdPO5RVGTDrhyMwGHmKqTmxkCGU6mvw2ZazAIDpg8KgVnLqIBFRkwkjnu2thZNaif2pBfjy8kxQah4sZAhf/XUeeWVVaOfpiPE9AqWOQ0Rk87wdlXhldAcAwEebknEis0jiRC0XC5lWLrdEj6921P5vYfaw9rxuDBGRhYyLCcDQDj6oNgjM/P4IKqsNUkdqkfhXq5VbGH8G5VUGdAl0xXDeU4mIyGJkMhnmj+kETyc7nM4uxfsbk6WO1CKxkGnFTmeXYOW+NADAnBGRvMM1EZGFeTip8e7YzgCAJTtTsOVUtsSJWh4WMq2UEAJv/HYSBqPAsGgf9GnnIXUkIqIWaXCUDybFBgMAZn5/FBcLOCXbkljItFLbknOx44wOKoUML94dJXUcIqIW7cWRUegcoEVRRTWmrzyMqhqj1JFaDBYyrVBVjRFv/H4SAPB4vxAEezhKnIiIqGVTKxVY9Eh3uGiUOJJeiPl/JEkdqcVgIdMKLdmZgvO5ZfB0ssO0QWFSxyEiahUC3R3w4fiuAIClu1Kx/vglaQO1ECxkWpmMwgosjD8DAJgzIgouGpXEiYiIWo8hHXww9c52AIAXfjyGFF2ZxIlsHwuZVuaNdSdRUW1Ar7buGNO9jdRxiIhaneeHtUfPtm4o1ddgyjcHUFxZLXUkm8ZCphXZciobG05kQSGX4fX7ojndmohIAiqFHIse6Q5fFw3O5pTimZWHUWPg4N+mYiHTSpTqa/DSmkQAwBN3hCDS10XiRERErZe3iwb/ndQDGpUc20/n4u31p6SOZLNYyLQS7204hUtFlQhyd8DMuAip4xARtXod22jx0eXBv1/vSsF3ly9QSjeHhUwrcCA1H//bcwEAMH9MJ9jb8e7WRETW4O5Ofpg1pPY/l3PXJiLhXJ7EiWwPC5kWrryqBv9cfRRCAON7BKBfmKfUkYiI6ArPDArD6C7+qDEKPPXtQZzNKZE6kk1hIdPCzV9/ChfyyuGn1eClkR2kjkNERFeRyWR4/4HO6BroiqKKavxtyT5kFlZIHctmsJBpwXacyTWdUnr/gS7Q2vOaMURE1kijUuDryT0R6uWIS0WV+NuSvSgoq5I6lk2QtJD566+/MHr0aPj7+0Mmk2Ht2rVm64UQeOWVV+Dn5wd7e3vExcXhzJkz0oS1MfllVXh+9VEAwKOxwbgjnKeUiIismbujHb55ojf8tBqcyy3DY8v2o7yqRupYVk/SQqasrAxdunTBokWLGlz/3nvvYeHChVi8eDH27t0LR0dHDBs2DJWVlbc5qW0RQuCFH48iu1iPdl6O+PeISKkjERFRI7Rxtcc3j/eC1l6FI+mFeOrbQ7zB5A1IWsiMGDECb775Ju6///5664QQWLBgAV5++WXce++96Ny5M7755htkZmbW67khc8t3p2JzUg7sFHJ8+nA3ONgppY5ERESNFO7jjK8n94S9SoG/Tudi5vdHeMG867DaMTIpKSnIyspCXFycaZlWq0Xv3r2RkJBwzdfp9XoUFxebPVqTYxcLTRdWevHuSET7ayVORERENysm2A1fTOwOlUKG349fwgwWM9dktYVMVlYWAMDHx8dsuY+Pj2ldQ+bPnw+tVmt6BAYGNmtOa1JQVoWnvz2EKoMRQzr4YFLftlJHIiKiJhrY3htfTIiBSiHDb8cuYeYPR1nMNMBqC5mmmjNnDoqKikyP9PR0qSPdFkajwMwfjiCjsALBHg74YFwX3kuJiMjGxXXwwaJHukMpl2Hd0Uz8c/VRGIxC6lhWxWoLGV9fXwBAdna22fLs7GzTuoao1Wq4uLiYPVqDD/5MxrbkXKiVcnwxIYZTrYmIWoih0b5YNKG2mPnlSCaeX82emStZbSETEhICX19fxMfHm5YVFxdj7969iI2NlTCZ9Vl9IB2fbzsHAHhnbCd08G8dxRsRUWsxLNoXn13umVlzOAPTVx6GvsYgdSyrIOl0ltLSUpw9e9b0PCUlBUeOHIG7uzuCgoIwY8YMvPnmmwgPD0dISAjmzp0Lf39/3HfffdKFthJpaWnQ6XQ4kavHa9vzAQAPRDkhWOTg0KGcZtlnUlJSs2yXiKilaY7fl94Ano91xQcJBdhwIgvjP92CF/q6wV5V2yfh6emJoKAgi+/X2klayBw4cAB33XWX6fmsWbMAAJMmTcKyZcvwwgsvoKysDE8++SQKCwtxxx13YMOGDdBoNFJFtgppaWmIjIpCtZ0Wvo9+CIW9C8pO7cCH776HD9H8505LS0ubfR9ERLaoOD8XADBx4sRm24cmqDO8xs7F0Wzggc+2I2f1PBj1ZbB3cMCppKRWV8xIWsgMHDgQQlz7D69MJsPrr7+O119//Tamsn46nQ56gwwRUz9DBdRwszPi3rjeUA79qVn3m7RvO/5Y/gkvSEhEdA0VpbWX/Bg59SW07xzTbPvJ18uwK1cAbSIRPfs7RFafw+p3Z0Kn07GQIetXZRDwuv9FVEANJ7USY3sGwlHd/IcyO+1cs++DiKgl8PAPRkB4dLNtPwCAf6keaw9noLgKSFSEQekR0Gz7s2ZWO9iXGlZtMOKDhAJogrtAKRO4p4v/bSliiIjIung6qTGuRyBc7VUoN8jgO+F9nMjVSx3rtmMhY0MMRoF//nAUBzL1MFbr0derBl7OaqljERGRRLT2KozvEQh3OyMU9s54bXs+fj2aKXWs24qFjI0QQuClNcfx69FMKOVA7tq34aXhRZGIiFo7ezsF7vSuQVnyLtQYgWe/O4zF289ddwxqS8JCxgYIIfDm70lYtT8dchkwo7crKs8flDoWERFZCYUc0P3yLkaFOwIA3vnjFF748ViruNYMCxkrJ4TAO3+cwpKdKQCAd8d2Rt9Ae4lTERGR1RFGPN7NBfNGd4BcBqw+eBEPf7kHOSUte6YpR4negrqL0jUXoxD46lAxNp4rBwBM6eaCUHkuL0xHREQNSkpKQpeoKLzc3x0fJhTgUFohRny0Ff++wx2hbs1z6xqpL8THQqaJ6i5KV1Fe3jw7kMnhcfcMOHUcBCGMyN/wKV5+dxNevqIJL0xHRERAwxfiU7r5w3vsXOR5BOKf6y8ib/0nKD+1w+L7lvpCfCxkmkin06GivBwT/vU+fIJCLbptowD26ZTIqJBDBoFenkYETn0awNMAeGE6IiIyd60L8VUbgb06I7Khgde9/0Lk355HB60BMpll9puddg4r3p0t6YX4WMjcIp+gUIte9Kiqxoj1xy8ho6IcCpkMIzr5IdTLyawNL0xHREQNaehCfMERArvP5uFgWgFOFStQZeeCodE+UCsVEqW0LA72tSKllTVYfTAdF/LLoZTLMLpL/SKGiIjoZshlMtwR7omhHXygkMtwXleG7/alI7ekZVw8j4WMlcgt0eP7A+nQlVbBXqXA2O4BCPZwlDoWERG1EFF+LhgXEwBnjRJFFdX4/kA6TmYWSx3rlrGQsQIX8sqw+mA6SvU1cHeww4M9A+Grbd13+CYiIsvzcdHg4V5BCPZwgMEosCkpG/FJ2agxGKWO1mQsZCQkhMCR9EL8cjQT1QaBADd7jOsRAK1980yRIyIislcpcG8Xf/Rp5w4ASMwsxuqDF1FUUS1xsqZhISORGoMRf57MxvbTuRACiPJ1xn1d20CjahmDr4iIyHrJZDL0DvHAfV39oVHJkVOix3f70nA+1/Yu68FCRgLFFdX44eBFnMoqgUwG9A/3xJDLg7CIiIhul2APRzzcKwi+Lhroa4xYd+wStiXn2NSpJhYyt1lafjm+25+G3BI97FUK3N+1DboHuUFmqUn9REREN8FFo8IDMQHoGugKADh6sQjfH0hHXqltzGpiIXObGI0Cu8/psOZwBiqrjfB2VuOhXoEIdHeQOhoREbVyCrkMAyK8cE8Xf9irFNCVVmHV/nQczyiy+rtos5C5DYorqvHjoYvYn1oAAIj2r50C56LhoF4iIrIeIZ6OmNA7CEHuDqgxCmw5lYPfj19CZbX13kWbV/ZtZmeyS7D5VA6qaoywU8gxOMobET7OUsciIiJqkKNaifu6+uNQWiF2n9PhXG4ZsovTMCzaBwFu1ncWgYVMM9FXG/DXGR1OXqq92JCviwbDO/pyajUREVk9mUyGmGA3BLjZ44/ELBRVVOOnQxnoGuiKvqEeUCms54QOC5lmkJpXhvikHJTqawAAPYLd0KedB2clERGRTfFx0eCRXkHYcSYXiZnFOJJeiNS8Mgzt4AM/rb3U8QCwkLEofY0BO87ocOLyJZ+19ioM7eADf1frONhEREQ3y04px+AoH4R6OWHzqWwUlldj9YGLtT02VjAOmIWMBQghcC63DNtP55p6Yayx+42IiKip2no6YmLvYGw/nYtTWSU4cKEAp5QqqNt0kDQXC5lbVFYD/Ho0E6l55QBqe2HiorytckAUERHRrdCoFBgW7YtQLydsTc5BaZUBvhPfw89JpejeXZpMLGSaqNog4NJnHDZdUsEgyiGXATHBbujZ1p29MERE1KKFeTshwM0eGw+eQUqpDFFedpJl4V/cJnprRz7cBkyCQcgQ4GqPCb2D0TfUk0UMERG1ChqVAjEeBmR+9RSiPFnI2Jy4dg4wlBWip0cNxnRvA3dH6Q4iERGRVGoKMiXdPwuZJuoXqEHGl1MQ5GjkfZKIiIgkwkKmiWQyGURVhdQxiIiIWjUWMkRERGSzWMgQERGRzWIhQ0RERDaLhQwRERHZLBYyREREZLNYyBAREZHNYiFDRERENouFDBEREdksmyhkFi1ahLZt20Kj0aB3797Yt2+f1JGIiIjIClh9IfP9999j1qxZmDdvHg4dOoQuXbpg2LBhyMnJkToaERERSczqC5mPPvoIU6ZMwWOPPYYOHTpg8eLFcHBwwNdffy11NCIiIpKYUuoA11NVVYWDBw9izpw5pmVyuRxxcXFISEho8DV6vR56vd70vKioCABQXFxs0WylpaUAgItnTkBfUW7Rbd9Idto5AEBW6mmcc3Tgfrlf7pf75X65X0n2m3sxBUDt30RL/52t254Q4voNhRXLyMgQAMTu3bvNls+ePVv06tWrwdfMmzdPAOCDDz744IMPPlrAIz09/bq1glX3yDTFnDlzMGvWLNNzo9GI/Px8eHh4QCaTSZjs2oqLixEYGIj09HS4uLhIHYfAY2KteFysE4+L9WkJx0QIgZKSEvj7+1+3nVUXMp6enlAoFMjOzjZbnp2dDV9f3wZfo1aroVarzZa5uro2V0SLcnFxsdkPXEvFY2KdeFysE4+L9bH1Y6LVam/YxqoH+9rZ2SEmJgbx8fGmZUajEfHx8YiNjZUwGREREVkDq+6RAYBZs2Zh0qRJ6NGjB3r16oUFCxagrKwMjz32mNTRiIiISGJWX8g8+OCDyM3NxSuvvIKsrCx07doVGzZsgI+Pj9TRLEatVmPevHn1TomRdHhMrBOPi3XicbE+remYyIS40bwmIiIiIutk1WNkiIiIiK6HhQwRERHZLBYyREREZLNYyBAREZHNYiHTBPPnz0fPnj3h7OwMb29v3HfffUhOTjZrU1lZiWnTpsHDwwNOTk4YO3ZsvQv7paWlYeTIkXBwcIC3tzdmz56Nmpoaszbbtm1D9+7doVarERYWhmXLltXLs2jRIrRt2xYajQa9e/fGvn37LP4z25p33nkHMpkMM2bMMC3jMZFGRkYGJk6cCA8PD9jb26NTp044cOCAab0QAq+88gr8/Pxgb2+PuLg4nDlzxmwb+fn5mDBhAlxcXODq6oonnnjCdL+zOseOHUP//v2h0WgQGBiI9957r16W1atXIzIyEhqNBp06dcL69eub54e2cgaDAXPnzkVISAjs7e0RGhqKN954w+yeNjwuzeuvv/7C6NGj4e/vD5lMhrVr15qtt6b3vzFZJHXLN0RqhYYNGyaWLl0qEhMTxZEjR8Tdd98tgoKCRGlpqanNU089JQIDA0V8fLw4cOCA6NOnj+jbt69pfU1NjejYsaOIi4sThw8fFuvXrxeenp5izpw5pjbnz58XDg4OYtasWeLkyZPi008/FQqFQmzYsMHUZtWqVcLOzk58/fXX4sSJE2LKlCnC1dVVZGdn3543wwrt27dPtG3bVnTu3Fk899xzpuU8Jrdffn6+CA4OFpMnTxZ79+4V58+fFxs3bhRnz541tXnnnXeEVqsVa9euFUePHhX33HOPCAkJERUVFaY2w4cPF126dBF79uwRO3bsEGFhYeLhhx82rS8qKhI+Pj5iwoQJIjExUXz33XfC3t5e/Oc//zG12bVrl1AoFOK9994TJ0+eFC+//LJQqVTi+PHjt+fNsCJvvfWW8PDwEL/99ptISUkRq1evFk5OTuKTTz4xteFxaV7r168XL730kvj5558FALFmzRqz9db0/jcmi5RYyFhATk6OACC2b98uhBCisLBQqFQqsXr1alObpKQkAUAkJCQIIWo/xHK5XGRlZZnafPHFF8LFxUXo9XohhBAvvPCCiI6ONtvXgw8+KIYNG2Z63qtXLzFt2jTTc4PBIPz9/cX8+fMt/4PagJKSEhEeHi42bdokBgwYYCpkeEyk8a9//Uvccccd11xvNBqFr6+veP/9903LCgsLhVqtFt99950QQoiTJ08KAGL//v2mNn/88YeQyWQiIyNDCCHE559/Ltzc3EzHqW7f7du3Nz0fP368GDlypNn+e/fuLaZOnXprP6QNGjlypHj88cfNlo0ZM0ZMmDBBCMHjcrtdXchY0/vfmCxS46klCygqKgIAuLu7AwAOHjyI6upqxMXFmdpERkYiKCgICQkJAICEhAR06tTJ7MJ+w4YNQ3FxMU6cOGFqc+U26trUbaOqqgoHDx40ayOXyxEXF2dq09pMmzYNI0eOrPe+8ZhI49dff0WPHj0wbtw4eHt7o1u3bvjqq69M61NSUpCVlWX2fmm1WvTu3dvsuLi6uqJHjx6mNnFxcZDL5di7d6+pzZ133gk7OztTm2HDhiE5ORkFBQWmNtc7dq1J3759ER8fj9OnTwMAjh49ip07d2LEiBEAeFykZk3vf2OySI2FzC0yGo2YMWMG+vXrh44dOwIAsrKyYGdnV+9mlT4+PsjKyjK1ufrqxHXPb9SmuLgYFRUV0Ol0MBgMDbap20ZrsmrVKhw6dAjz58+vt47HRBrnz5/HF198gfDwcGzcuBFPP/00nn32WSxfvhzA/7+v13u/srKy4O3tbbZeqVTC3d3dIseuNR6Xf//733jooYcQGRkJlUqFbt26YcaMGZgwYQIAHhepWdP735gsUrP6WxRYu2nTpiExMRE7d+6UOkqrlp6ejueeew6bNm2CRqOROg5dZjQa0aNHD7z99tsAgG7duiExMRGLFy/GpEmTJE7Xev3www9YsWIFVq5ciejoaBw5cgQzZsyAv78/jwvZHPbI3ILp06fjt99+w9atWxEQEGBa7uvri6qqKhQWFpq1z87Ohq+vr6nN1TNm6p7fqI2Liwvs7e3h6ekJhULRYJu6bbQWBw8eRE5ODrp37w6lUgmlUont27dj4cKFUCqV8PHx4TGRgJ+fHzp06GC2LCoqCmlpaQD+/3293vvl6+uLnJwcs/U1NTXIz8+3yLFrjcdl9uzZpl6ZTp064W9/+xtmzpxp6s3kcZGWNb3/jckiNRYyTSCEwPTp07FmzRps2bIFISEhZutjYmKgUqkQHx9vWpacnIy0tDTExsYCAGJjY3H8+HGzD+KmTZvg4uJi+sUfGxtrto26NnXbsLOzQ0xMjFkbo9GI+Ph4U5vWYvDgwTh+/DiOHDlievTo0QMTJkww/ZvH5Pbr169fvUsTnD59GsHBwQCAkJAQ+Pr6mr1fxcXF2Lt3r9lxKSwsxMGDB01ttmzZAqPRiN69e5va/PXXX6iurja12bRpE9q3bw83NzdTm+sdu9akvLwccrn5r3+FQgGj0QiAx0Vq1vT+NyaL5KQebWyLnn76aaHVasW2bdvEpUuXTI/y8nJTm6eeekoEBQWJLVu2iAMHDojY2FgRGxtrWl831Xfo0KHiyJEjYsOGDcLLy6vBqb6zZ88WSUlJYtGiRQ1O9VWr1WLZsmXi5MmT4sknnxSurq5mM29aqytnLQnBYyKFffv2CaVSKd566y1x5swZsWLFCuHg4CC+/fZbU5t33nlHuLq6il9++UUcO3ZM3HvvvQ1OM+3WrZvYu3ev2LlzpwgPDzebZlpYWCh8fHzE3/72N5GYmChWrVolHBwc6k0zVSqV4oMPPhBJSUli3rx5rWKab0MmTZok2rRpY5p+/fPPPwtPT0/xwgsvmNrwuDSvkpIScfjwYXH48GEBQHz00Ufi8OHD4sKFC0II63r/G5NFSixkmgBAg4+lS5ea2lRUVIh//OMfws3NTTg4OIj7779fXLp0yWw7qampYsSIEcLe3l54enqKf/7zn6K6utqszdatW0XXrl2FnZ2daNeundk+6nz66aciKChI2NnZiV69eok9e/Y0x49tc64uZHhMpLFu3TrRsWNHoVarRWRkpPjyyy/N1huNRjF37lzh4+Mj1Gq1GDx4sEhOTjZrk5eXJx5++GHh5OQkXFxcxGOPPSZKSkrM2hw9elTccccdQq1WizZt2oh33nmnXpYffvhBRERECDs7OxEdHS1+//13y//ANqC4uFg899xzIigoSGg0GtGuXTvx0ksvmU3T5XFpXlu3bm3w78ikSZOEENb1/jcmi5RkQlxxKUciIiIiG8IxMkRERGSzWMgQERGRzWIhQ0RERDaLhQwRERHZLBYyREREZLNYyBAREZHNYiFDRERENouFDBEREdksFjJERFeZPHky7rvvPqljEFEjsJAhohvKzc3F008/jaCgIKjVavj6+mLYsGHYtWsXAEAmk2Ht2rXShrzs6NGjuOeee+Dt7Q2NRoO2bdviwQcfrHenYCJqGZRSByAi6zd27FhUVVVh+fLlaNeuHbKzsxEfH4+8vDyL7qe6uhoqlarJr8/NzcXgwYMxatQobNy4Ea6urkhNTcWvv/6KsrIyCyYlIqsh9c2eiMi6FRQUCABi27ZtDa4PDg42u+ldcHCwad3nn38u2rVrJ1QqlYiIiBDffPON2WsBiM8//1yMHj1aODg4iHnz5gkhhFi7dq3o1q2bUKvVIiQkRLz66qv1bt7ZkDVr1gilUnndtjU1NeLxxx8Xbdu2FRqNRkRERIgFCxaYtZk0aZK49957Tc8NBoN4++23Ta/p3LmzWL16tWl9fn6+eOSRR4Snp6fQaDQiLCxMfP311zfMS0S3jj0yRHRdTk5OcHJywtq1a9GnTx+o1Wqz9fv374e3tzeWLl2K4cOHQ6FQAADWrFmD5557DgsWLEBcXBx+++03PPbYYwgICMBdd91lev2rr76Kd955BwsWLIBSqcSOHTvw6KOPYuHChejfvz/OnTuHJ598EgAwb96862b19fVFTU0N1qxZgwceeAAymaxeG6PRiICAAKxevRoeHh7YvXs3nnzySfj5+WH8+PENbnf+/Pn49ttvsXjxYoSHh+Ovv/7CxIkT4eXlhQEDBmDu3Lk4efIk/vjjD3h6euLs2bOoqKi4qfeZiJpI6kqKiKzfjz/+KNzc3IRGoxF9+/YVc+bMEUePHjWtByDWrFlj9pq+ffuKKVOmmC0bN26cuPvuu81eN2PGDLM2gwcPFm+//bbZsv/973/Cz8+vUVlffPFFoVQqhbu7uxg+fLh47733RFZW1nVfM23aNDF27FjT8yt7ZCorK4WDg4PYvXu32WueeOIJ8fDDDwshhBg9erR47LHHGpWPiCyLg32J6IbGjh2LzMxM/Prrrxg+fDi2bduG7t27Y9myZdd8TVJSEvr162e2rF+/fkhKSjJb1qNHD7PnR48exeuvv27qCXJycsKUKVNw6dIllJeX3zDrW2+9haysLCxevBjR0dFYvHgxIiMjcfz4cVObRYsWISYmBl5eXnBycsKXX36JtLS0Brd39uxZlJeXY8iQIWaZvvnmG5w7dw4A8PTTT2PVqlXo2rUrXnjhBezevfuGOYnIMljIEFGjaDQaDBkyBHPnzsXu3bsxefLkG57qaQxHR0ez56WlpXjttddw5MgR0+P48eM4c+YMNBpNo7bp4eGBcePG4YMPPkBSUhL8/f3xwQcfAABWrVqF559/Hk888QT+/PNPHDlyBI899hiqqqoa3FZpaSkA4PfffzfLdPLkSfz4448AgBEjRuDChQuYOXMmMjMzMXjwYDz//PNNfUuI6CZwjAwRNUmHDh1MU65VKhUMBoPZ+qioKOzatQuTJk0yLdu1axc6dOhw3e12794dycnJCAsLs0hOOzs7hIaGmmYt7dq1C3379sU//vEPU5u6npWGdOjQAWq1GmlpaRgwYMA123l5eWHSpEmYNGkS+vfvj9mzZ5uKJyJqPixkiOi68vLyMG7cODz++OPo3LkznJ2dceDAAbz33nu49957AQBt27ZFfHw8+vXrB7VaDTc3N8yePRvjx49Ht27dEBcXh3Xr1uHnn3/G5s2br7u/V155BaNGjUJQUBAeeOAByOVyHD16FImJiXjzzTev+9rffvsNq1atwkMPPYSIiAgIIbBu3TqsX78eS5cuBQCEh4fjm2++wcaNGxESEoL//e9/2L9/P0JCQhrcprOzM55//nnMnDkTRqMRd9xxB4qKirBr1y64uLhg0qRJeOWVVxATE4Po6Gjo9Xr89ttviIqKasK7TUQ3TepBOkRk3SorK8W///1v0b17d6HVaoWDg4No3769ePnll0V5ebkQQohff/1VhIWFCaVSedPTr68eJCyEEBs2bBB9+/YV9vb2wsXFRfTq1Ut8+eWXN8x67tw5MWXKFBERESHs7e2Fq6ur6Nmzp1i6dKnZzzN58mSh1WqFq6urePrpp8W///1v0aVLF1Obq6dfG41GsWDBAtG+fXuhUqmEl5eXGDZsmNi+fbsQQog33nhDREVFCXt7e+Hu7i7uvfdecf78+Ru/uUR0y2RCCCF1MUVERETUFBzsS0RERDaLhQwR2YwVK1aYTYG+8hEdHS11PCKSAE8tEZHNKCkpQXZ2doPrVCoVgoODb3MiIpIaCxkiIiKyWTy1RERERDaLhQwRERHZLBYyREREZLNYyBAREZHNYiFDRERENouFDBEREdksFjJERERks/4PaH4KVuID6bkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Гистограмма распределения цены в обучающей выборке\n",
    "sns.histplot(train_data[\"Store_Sales\"], kde=True)\n",
    "plt.title('Распределение цены в обучающей выборке')\n",
    "plt.show()\n",
    "\n",
    "# Гистограмма распределения цены в контрольной выборке\n",
    "sns.histplot(val_data[\"Store_Sales\"], kde=True)\n",
    "plt.title('Распределение цены в контрольной выборке')\n",
    "plt.show()\n",
    "\n",
    "# Гистограмма распределения цены в тестовой выборке\n",
    "sns.histplot(test_data[\"Store_Sales\"], kde=True)\n",
    "plt.title('Распределение цены в тестовой выборке')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Процесс конструирования признаков\n",
    "\n",
    "\n",
    "\n",
    "### Унитарное кодирование категориальных признаков (one-hot encoding)\n",
    "\n",
    "One-hot encoding: Преобразование категориальных признаков в бинарные векторы."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# Пример категориальных признаков\n",
    "categorical_features = [\n",
    "    \"Store ID \",\n",
    "    \"Store_Area\"\n",
    "]\n",
    "\n",
    "# Применение one-hot encoding\n",
    "train_data_encoded = pd.get_dummies(train_data, columns=categorical_features)\n",
    "val_data_encoded = pd.get_dummies(val_data, columns=categorical_features)\n",
    "test_data_encoded = pd.get_dummies(test_data, columns=categorical_features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Дискретизация числовых признаков "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Store_Area</th>\n",
       "      <th>Store_Area</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1659</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1461</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1340</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1451</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1770</td>\n",
       "      <td>(1744.333, 2229.0]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1442</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1542</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1261</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1090</td>\n",
       "      <td>(775.0, 1259.667]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1030</td>\n",
       "      <td>(775.0, 1259.667]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1187</td>\n",
       "      <td>(775.0, 1259.667]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1751</td>\n",
       "      <td>(1744.333, 2229.0]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1746</td>\n",
       "      <td>(1744.333, 2229.0]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1615</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1469</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1644</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1578</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1703</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1438</td>\n",
       "      <td>(1259.667, 1744.333]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1940</td>\n",
       "      <td>(1744.333, 2229.0]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Store_Area            Store_Area\n",
       "0        1659  (1259.667, 1744.333]\n",
       "1        1461  (1259.667, 1744.333]\n",
       "2        1340  (1259.667, 1744.333]\n",
       "3        1451  (1259.667, 1744.333]\n",
       "4        1770    (1744.333, 2229.0]\n",
       "5        1442  (1259.667, 1744.333]\n",
       "6        1542  (1259.667, 1744.333]\n",
       "7        1261  (1259.667, 1744.333]\n",
       "8        1090     (775.0, 1259.667]\n",
       "9        1030     (775.0, 1259.667]\n",
       "10       1187     (775.0, 1259.667]\n",
       "11       1751    (1744.333, 2229.0]\n",
       "12       1746    (1744.333, 2229.0]\n",
       "13       1615  (1259.667, 1744.333]\n",
       "14       1469  (1259.667, 1744.333]\n",
       "15       1644  (1259.667, 1744.333]\n",
       "16       1578  (1259.667, 1744.333]\n",
       "17       1703  (1259.667, 1744.333]\n",
       "18       1438  (1259.667, 1744.333]\n",
       "19       1940    (1744.333, 2229.0]"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import OneHotEncoder\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "labels = [\"small\", \"medium\", \"large\"]\n",
    "num_bins = 3\n",
    "\n",
    "hist1, bins1 = np.histogram(\n",
    "    df[\"Store_Area\"].fillna(df[\"Store_Area\"].median()), bins=num_bins\n",
    ")\n",
    "bins1, hist1\n",
    "\n",
    "pd.concat([df[\"Store_Area\"], pd.cut(df[\"Store_Area\"], list(bins1))], axis=1).head(20)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Store_Area</th>\n",
       "      <th>Store_Area</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1659</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1461</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1340</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1451</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1770</td>\n",
       "      <td>large</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1442</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1542</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1261</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1090</td>\n",
       "      <td>small</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1030</td>\n",
       "      <td>small</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1187</td>\n",
       "      <td>small</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1751</td>\n",
       "      <td>large</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1746</td>\n",
       "      <td>large</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1615</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1469</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1644</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1578</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1703</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1438</td>\n",
       "      <td>medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1940</td>\n",
       "      <td>large</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Store_Area Store_Area\n",
       "0        1659     medium\n",
       "1        1461     medium\n",
       "2        1340     medium\n",
       "3        1451     medium\n",
       "4        1770      large\n",
       "5        1442     medium\n",
       "6        1542     medium\n",
       "7        1261     medium\n",
       "8        1090      small\n",
       "9        1030      small\n",
       "10       1187      small\n",
       "11       1751      large\n",
       "12       1746      large\n",
       "13       1615     medium\n",
       "14       1469     medium\n",
       "15       1644     medium\n",
       "16       1578     medium\n",
       "17       1703     medium\n",
       "18       1438     medium\n",
       "19       1940      large"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.concat(\n",
    "    [df[\"Store_Area\"], pd.cut(df[\"Store_Area\"], list(bins1), labels=labels)], axis=1\n",
    ").head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ручной синтез"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Пример синтеза признака коэффициента отношения размера ассортимента к его распродажам\n",
    "train_data_encoded[\"koeff\"] = (\n",
    "    train_data_encoded[\"Items_Available\"] / train_data_encoded[\"Store_Sales\"]\n",
    ")\n",
    "val_data_encoded[\"koeff\"] = (\n",
    "    val_data_encoded[\"Items_Available\"] / val_data_encoded[\"Store_Sales\"]\n",
    ")\n",
    "test_data_encoded[\"koeff\"] = (\n",
    "    test_data_encoded[\"Items_Available\"] / test_data_encoded[\"Store_Sales\"]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Масштабирование признаков - это процесс преобразования числовых признаков таким образом, чтобы они имели одинаковый масштаб. Это важно для многих алгоритмов машинного обучения, которые чувствительны к масштабу признаков, таких как линейная регрессия, метод опорных векторов (SVM) и нейронные сети."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
    "\n",
    "# Пример масштабирования числовых признаков\n",
    "numerical_features = [\"Daily_Customer_Count\", \"Items_Available\"]\n",
    "\n",
    "scaler = StandardScaler()\n",
    "train_data_encoded[numerical_features] = scaler.fit_transform(train_data_encoded[numerical_features])\n",
    "val_data_encoded[numerical_features] = scaler.transform(val_data_encoded[numerical_features])\n",
    "test_data_encoded[numerical_features] = scaler.transform(test_data_encoded[numerical_features])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Конструирование признаков с применением фреймворка Featuretools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\entityset\\entityset.py:1733: UserWarning: index id not found in dataframe, creating new integer column\n",
      "  warnings.warn(\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\synthesis\\deep_feature_synthesis.py:169: UserWarning: Only one dataframe in entityset, changing max_depth to 1 since deeper features cannot be created\n",
      "  warnings.warn(\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\computational_backends\\feature_set_calculator.py:143: FutureWarning: The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.\n",
      "  df = pd.concat([df, default_df], sort=True)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\woodwork\\logical_types.py:841: FutureWarning: Downcasting behavior in `replace` is deprecated and will be removed in a future version. To retain the old behavior, explicitly call `result.infer_objects(copy=False)`. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
      "  series = series.replace(ww.config.get_option(\"nan_values\"), np.nan)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\computational_backends\\feature_set_calculator.py:143: FutureWarning: The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.\n",
      "  df = pd.concat([df, default_df], sort=True)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\woodwork\\logical_types.py:841: FutureWarning: Downcasting behavior in `replace` is deprecated and will be removed in a future version. To retain the old behavior, explicitly call `result.infer_objects(copy=False)`. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
      "  series = series.replace(ww.config.get_option(\"nan_values\"), np.nan)\n"
     ]
    }
   ],
   "source": [
    "import featuretools as ft\n",
    "\n",
    "# Определение сущностей\n",
    "es = ft.EntitySet(id='shop_data')\n",
    "es = es.add_dataframe(dataframe_name='shops', dataframe=train_data_encoded, index='id')\n",
    "\n",
    "\n",
    "# Генерация признаков\n",
    "feature_matrix, feature_defs = ft.dfs(entityset=es, target_dataframe_name='shops', max_depth=2)\n",
    "\n",
    "# Преобразование признаков для контрольной и тестовой выборок\n",
    "val_feature_matrix = ft.calculate_feature_matrix(features=feature_defs, entityset=es, instance_ids=val_data_encoded.index)\n",
    "test_feature_matrix = ft.calculate_feature_matrix(features=feature_defs, entityset=es, instance_ids=test_data_encoded.index)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Оценка качества каждого набора признаков\n",
    "Предсказательная способность\n",
    "Метрики: RMSE, MAE, R²\n",
    "\n",
    "Методы: Обучение модели на обучающей выборке и оценка на контрольной и тестовой выборках.\n",
    "\n",
    "Скорость вычисления\n",
    "Методы: Измерение времени выполнения генерации признаков и обучения модели.\n",
    "\n",
    "Надежность\n",
    "Методы: Кросс-валидация, анализ чувствительности модели к изменениям в данных.\n",
    "\n",
    "Корреляция\n",
    "Методы: Анализ корреляционной матрицы признаков, удаление мультиколлинеарных признаков.\n",
    "\n",
    "Цельность\n",
    "Методы: Проверка логической связи между признаками и целевой переменной, интерпретация результатов модели."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\entityset\\entityset.py:724: UserWarning: A Woodwork-initialized DataFrame was provided, so the following parameters were ignored: index\n",
      "  warnings.warn(\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\synthesis\\deep_feature_synthesis.py:169: UserWarning: Only one dataframe in entityset, changing max_depth to 1 since deeper features cannot be created\n",
      "  warnings.warn(\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\computational_backends\\feature_set_calculator.py:143: FutureWarning: The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.\n",
      "  df = pd.concat([df, default_df], sort=True)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\woodwork\\logical_types.py:841: FutureWarning: Downcasting behavior in `replace` is deprecated and will be removed in a future version. To retain the old behavior, explicitly call `result.infer_objects(copy=False)`. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
      "  series = series.replace(ww.config.get_option(\"nan_values\"), np.nan)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\featuretools\\computational_backends\\feature_set_calculator.py:143: FutureWarning: The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.\n",
      "  df = pd.concat([df, default_df], sort=True)\n",
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\woodwork\\logical_types.py:841: FutureWarning: Downcasting behavior in `replace` is deprecated and will be removed in a future version. To retain the old behavior, explicitly call `result.infer_objects(copy=False)`. To opt-in to the future behavior, set `pd.set_option('future.no_silent_downcasting', True)`\n",
      "  series = series.replace(ww.config.get_option(\"nan_values\"), np.nan)\n"
     ]
    }
   ],
   "source": [
    "import featuretools as ft\n",
    "\n",
    "# Определение сущностей\n",
    "es = ft.EntitySet(id='shop_data')\n",
    "es = es.add_dataframe(dataframe_name='shops', dataframe=train_data_encoded, index='id')\n",
    "\n",
    "# Генерация признаков\n",
    "feature_matrix, feature_defs = ft.dfs(entityset=es, target_dataframe_name='shops', max_depth=2)\n",
    "\n",
    "# Преобразование признаков для контрольной и тестовой выборок\n",
    "val_feature_matrix = ft.calculate_feature_matrix(features=feature_defs, entityset=es, instance_ids=val_data_encoded.index)\n",
    "test_feature_matrix = ft.calculate_feature_matrix(features=feature_defs, entityset=es, instance_ids=test_data_encoded.index)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE: 935.869473619144\n",
      "R²: 0.9976677314259463\n",
      "MAE: 563.0765217391303\n",
      "Cross-validated RMSE: 2423.8868120485813\n",
      "Train RMSE: 871.8955293545159\n",
      "Train R²: 0.9975555952641544\n",
      "Train MAE: 514.1715034965034\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\3_КУРС_ПИ\\МИИ\\aisenv\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.metrics import mean_squared_error, r2_score, mean_absolute_error\n",
    "from sklearn.model_selection import cross_val_score\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Удаление строк с NaN\n",
    "feature_matrix = feature_matrix.dropna()\n",
    "val_feature_matrix = val_feature_matrix.dropna()\n",
    "test_feature_matrix = test_feature_matrix.dropna()\n",
    "\n",
    "# Разделение данных на обучающую и тестовую выборки\n",
    "X_train = feature_matrix.drop(\"Store_Sales\", axis=1)\n",
    "y_train = feature_matrix[\"Store_Sales\"]\n",
    "X_val = val_feature_matrix.drop(\"Store_Sales\", axis=1)\n",
    "y_val = val_feature_matrix[\"Store_Sales\"]\n",
    "X_test = test_feature_matrix.drop(\"Store_Sales\", axis=1)\n",
    "y_test = test_feature_matrix[\"Store_Sales\"]\n",
    "\n",
    "# Выбор модели\n",
    "model = RandomForestRegressor(random_state=42)\n",
    "\n",
    "# Обучение модели\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "# Предсказание и оценка\n",
    "y_pred = model.predict(X_test)\n",
    "\n",
    "rmse = mean_squared_error(y_test, y_pred, squared=False)\n",
    "r2 = r2_score(y_test, y_pred)\n",
    "mae = mean_absolute_error(y_test, y_pred)\n",
    "\n",
    "print(f\"RMSE: {rmse}\")\n",
    "print(f\"R²: {r2}\")\n",
    "print(f\"MAE: {mae}\")\n",
    "\n",
    "# Кросс-валидация\n",
    "scores = cross_val_score(model, X_train, y_train, cv=5, scoring='neg_mean_squared_error')\n",
    "rmse_cv = (-scores.mean())**0.5\n",
    "print(f\"Cross-validated RMSE: {rmse_cv}\")\n",
    "\n",
    "# Анализ важности признаков\n",
    "feature_importances = model.feature_importances_\n",
    "feature_names = X_train.columns\n",
    "\n",
    "\n",
    "# Проверка на переобучение\n",
    "y_train_pred = model.predict(X_train)\n",
    "\n",
    "rmse_train = mean_squared_error(y_train, y_train_pred, squared=False)\n",
    "r2_train = r2_score(y_train, y_train_pred)\n",
    "mae_train = mean_absolute_error(y_train, y_train_pred)\n",
    "\n",
    "print(f\"Train RMSE: {rmse_train}\")\n",
    "print(f\"Train R²: {r2_train}\")\n",
    "print(f\"Train MAE: {mae_train}\")\n",
    "\n",
    "# Визуализация результатов\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(y_test, y_pred, alpha=0.5)\n",
    "plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], 'k--', lw=2)\n",
    "plt.xlabel('Actual Sales')\n",
    "plt.ylabel('Predicted Sales')\n",
    "plt.title(\"Actual vs Predicted Sales\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Точность предсказаний: Модель показывает довольно высокий R² (0.9975), что указывает на хорошее объяснение вариации распродаж. Значения RMSE и MAE довольно низки, что говорит о том, что модель достаточно точно предсказывает цены.\n",
    "\n",
    "Переобучение: Разница между RMSE на обучающей и тестовой выборках не очень большая, что указывает на то, что переобучение не является критическим. Однако, стоит быть осторожным и продолжать мониторинг этого показателя.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "aisenv",
   "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": "3.12.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}