{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6947f0d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e91accaf",
   "metadata": {},
   "source": [
    "The goal of this exercise session is to get familiar with inflow and stock-driven modelling. You do not need to undertand all the details of the code. Make sure to understand the graphs, and answer the questions.\n",
    "\n",
    "We will (1) use 2013–2023 EV sales data (inflow) to compute the evolution of the global EV stock (inflow-driven model), and (2) use a projection of future EV stock for 2024–2060 to calculate the required EV sales to maintain this stock (stock-driven model). We will then analyze and discuss the results.\n",
    "\n",
    "EV sales data are sourced from [roadgenius.com](https://roadgenius.com/cars/ev/statistics/sales-by-country/). While the data may have limited reliability, it serves well for illustration purposes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "adce71b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load EV sales data\n",
    "\n",
    "I_df = pd.read_excel(\"EV_sales.xlsx\", index_col=0).squeeze(\"columns\") # EV sales data (inflow)\n",
    "I = I_df.values.tolist()\n",
    "years = I_df.index.tolist()\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(years, I, marker='o', linestyle='-', color='b')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('EV Sales [mio]')\n",
    "plt.title('Annual EV Sales')\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbeaf6cf",
   "metadata": {},
   "source": [
    "To compute the outflow of vehicles at each time step from the inflow, we need a **lifetime model**. This model is typically specified as a probability distribution function over vehicle lifetimes. Here, we use a discrete function that assigns the probability of a vehicle reaching its end-of-life in a given year \\( t \\)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a936d991",
   "metadata": {},
   "outputs": [],
   "source": [
    "# lifetime model\n",
    "\n",
    "avg_lifetime = 15 # years\n",
    "\n",
    "def lifetimes_pdf(t, avg_lifetime):\n",
    "    \"\"\"Probability density function of end-of-life time.\"\"\"\n",
    "    \n",
    "    if (np.abs(t - avg_lifetime) == 0):\n",
    "        return 0.3\n",
    "    elif (np.abs(t - avg_lifetime) == 1):\n",
    "        return 0.2\n",
    "    elif (np.abs(t - avg_lifetime) == 2):\n",
    "        return 0.1\n",
    "    elif (np.abs(t - avg_lifetime) == 3):\n",
    "        return 0.05\n",
    "    else:\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55a1ad19",
   "metadata": {},
   "source": [
    "We can evaluate this lifetime function for three age cohorts (2013, 2018, and 2023), and visualize the end-of-life probability for each of the cohorts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1f8a49d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_values = np.arange(2005, 2045)\n",
    "age_cohort_examples = [2013, 2018, 2023] # age cohorts to visualize\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "for age_cohort in age_cohort_examples:\n",
    "    lifetime_probs = [lifetimes_pdf(t - age_cohort, avg_lifetime) for t in t_values]\n",
    "    plt.bar(t_values, lifetime_probs, alpha=0.5, label=f't0 = {age_cohort}')\n",
    "\n",
    "plt.xlabel('Year (t)')\n",
    "plt.ylabel('Lifetime probability')\n",
    "plt.title('Lifetime model for different age cohorts')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# Add vertical lines for 2013, 2018, and 2023 with matching colors\n",
    "colors = plt.rcParams['axes.prop_cycle'].by_key()['color']\n",
    "for idx, age_cohort in enumerate(age_cohort_examples):\n",
    "    plt.axvline(x=age_cohort, color=colors[idx % len(colors)], linestyle='--', linewidth=2, label=f'Cohort year: {age_cohort}')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7c058fe",
   "metadata": {},
   "source": [
    "Knowing the size of the inflow for each year, we can estimate when and how many vehicles from each age cohort reach their end-of-life. For example, for the age cohort 2013: $O_{2013}(t) = I(2013)*pdf_{2013}(t - 2013)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cf4a7fd1",
   "metadata": {
    "vscode": {
     "languageId": "ruby"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "I_examples = [I[0], I[5], I[10]]  # 2013, 2018, 2023 sales\n",
    "age_cohort_examples = [2013, 2018, 2023] # age cohorts to visualize\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "for idx, age_cohort in enumerate(age_cohort_examples):\n",
    "    # Calculate end-of-life vehicles for each year\n",
    "    end_of_life_vehicles = [I_examples[idx] * lifetimes_pdf(t - age_cohort, avg_lifetime) for t in t_values]\n",
    "    plt.bar(t_values, end_of_life_vehicles, alpha=0.5, label=f't0 = {age_cohort}')\n",
    "\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Number of vehicles at end-of-life [mio]')\n",
    "plt.title('End-of-life vehicles for different age cohorts')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# Add vertical lines for 2013, 2018, and 2023\n",
    "for idx, age_cohort in enumerate(age_cohort_examples):\n",
    "    plt.axvline(x=age_cohort, color=colors[idx % len(colors)], linestyle='--', linewidth=2, label=f'Cohort year: {age_cohort}')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66f0fe22",
   "metadata": {},
   "source": [
    "With an empty initial stock, the inflow and the lifetime model, we have all the necessary elements to compute the 2013-2023 stock of electric vehicles using an inflow-driven model. Note that in the course slides, the time is continuous, so the outflow is computed by an integral. Here, the time is discrete (years), so the integral is replaced by a finite sum.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b8842593",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# inflow-driven model\n",
    "\n",
    "S0 = 0 # initial EV stock in mio\n",
    "S = [] # EV stock over time\n",
    "O = [] # EV outflow over time\n",
    "\n",
    "# Compute the total outflow for a given year using the lifetime model\n",
    "def compute_total_outflow(I, years, outflow_year, avg_lifetime):\n",
    "    \"\"\"\n",
    "    Calculates the total number of vehicles reaching end-of-life (outflow) in a specific year.\n",
    "\n",
    "    Parameters:\n",
    "        I (list): List of inflow (sales) for each year.\n",
    "        years (list): List of years corresponding to inflow data.\n",
    "        outflow_year (int): The year for which outflow is computed.\n",
    "        avg_lifetime (int): Average vehicle lifetime in years.\n",
    "\n",
    "    Returns:\n",
    "        float: Total outflow (number of vehicles at end-of-life) for the given year.\n",
    "    \"\"\"\n",
    "    assert len(I) == len(years), \"Length of I and years must be the same\"\n",
    "    outflow_by_cohort = [\n",
    "        I[cohort_year - years[0]] * lifetimes_pdf(outflow_year - cohort_year, avg_lifetime)\n",
    "        for cohort_year in years\n",
    "        if outflow_year >= cohort_year\n",
    "    ]\n",
    "    total_outflow = sum(outflow_by_cohort)\n",
    "    return total_outflow\n",
    "\n",
    "# Main loop of the inflow-driven model. We compute the outflow and stock for each year.\n",
    "for outflow_year in years:\n",
    "    # Calculate outflow for the current year using the lifetime model\n",
    "    O_current_year = compute_total_outflow(I, years, outflow_year, avg_lifetime)\n",
    "    \n",
    "    # Calculate stock for the current year\n",
    "    if outflow_year == years[0]:\n",
    "        # For the first year, add initial stock and inflow, subtract outflow\n",
    "        S_current_year = S0 + I[outflow_year - years[0]] - O_current_year\n",
    "    else:\n",
    "        # For subsequent years, add previous stock and inflow, subtract outflow\n",
    "        S_current_year = S[-1] + I[outflow_year - years[0]] - O_current_year\n",
    "    \n",
    "    # Store results\n",
    "    O.append(O_current_year)\n",
    "    S.append(S_current_year)\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(years, S, marker='o', label='EV Stock')\n",
    "plt.plot(years, O, marker='s', label='EV Outflow')\n",
    "plt.plot(years, I, marker='^', label='EV Inflow')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Count [mio]')\n",
    "plt.title('EV Stock, Inflow, and Outflow Over Time (Inflow-Driven Model)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "669adae0",
   "metadata": {},
   "source": [
    "**Question**: Why is the outflow zero on the above graph? What is the relationship between the stock and the inflow in this case?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ce31761",
   "metadata": {},
   "source": [
    "Now, we would like to estimate future sales needed to reach a target stock for the period 2024-2060. For that, we need a stock projection. For simplicity, we use an S-curve fitting of the 2013-2023 data and extrapolate to 2060. Note that this scenario might be unrealistic, but we use it for illustration purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "aaa59a5a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2btzI9u3befXVVwGIi4tzaB8UFJRmH56eng7tUr+nbpaV750brVq1iu3bt7Nr1y7Onz/Phg0b0sxGkN73woULFzL8Hkl9PCNnz57l22+/xd3d3eEr9eP28+fPA7Y+DQsLS3fISE7c6nvbarVy6dIlh/U394WnpyeQts+yU0NWfhfcSkJCAg8++CAbNmxg6dKlNG/ePN2609vfxYsXCQwMTNO2c+fODu1S/+nYuXNnlvZpsVgoWbJkluoXuZFCrkguDB48GFdXVz766CN2797Nr7/+yuOPP57jow4Wi4XnnnuOkiVLOoxty0hQUBBnz55Nc5JRVFQUycnJ9jGuZcqUISUlJUtBr0WLFsydO5cPP/yQoUOHpjnZJ6dS/5ClN+/mn3/+aa81tV16J3Vlpf7SpUszc+ZMTpw4wcmTJ5kyZQpfffVVjscUlylTJs2JcQXFokWLcHd357vvvqNv3760bNmSpk2b5mqfQUFB6b7P2f0noWHDhjRt2pSGDRumG64h/aNzQUFBGX6PAPbvk/SULl2aTp06pTlynvqVOqVfmTJl+PPPP2/b97aLiwulSpXKk+fKrIas/C7ITEJCAg888ABr167l66+/TvdTnPr16wOwZ88eh/XJyckcPHjQ4R/j9MbYAvYaU//JqFq1Kt7e3mn2mfo81apV03hcyRGFXJFcCAsLo0uXLixcuJB///vfuLi4MGjQoCxtm9Ek63/++ScxMTEOR/tuPtqWqn379ly5ciXNhPWffPKJ/XH468jJnDlzslTboEGDWLRoEXPnzmXgwIGkpKRkabvMpH4sPX/+fIf127dv58CBA/ZamzdvjqenJ59//rlDuy1btjh8rJ4VFSpUYPjw4XTs2NF+1Agyfj/Tc99997F27dosDR/JC9mpzWKx4Obm5jBXc1xcHJ9++mmOn79du3asXr3a4Z+MlJSUNP2RX9q3b8/+/fsd+gts39MWiyXTT0m6d+/O3r17qVq1apqj5zceQb/vvvuIj4+/5UVEstoXNWvWpFy5cixYsMAhZF69epUvv/zSPuNCXsjt74KMpB7BXbNmDV9++WWao6+pmjdvTmhoaJr37osvvuDKlSv06tXLvq53797AX8OlUi1btgz4a8YNNzc37r//fr766itiY2Pt7U6dOsXatWsd9imSHZpdQSQde/fuTXNGPNiOONw8KfmQIUP4/vvv+eCDD+jcuTPh4eFZeo4nn3ySy5cv07t3b+rVq4erqysHDx5kxowZuLi4OEy7U79+fb766ivmzJlDkyZNcHFxoWnTpgwcOJB///vfDBo0iBMnTlC/fn02bNjA5MmT6dq1Kx06dADgnnvu4bHHHuPNN9/k7NmzdO/eHU9PT3799Vd8fHwYMWJEmvr69OmDj48Pffr0IS4ujoULF+Lh4ZHpa4qJieGLL75Is75MmTK0adOGJ598klmzZuHi4sJ9991nn10hPDyc5557DoDAwEBGjx7NlClTKFWqFA8++CBnzpxhwoQJhIaGZvoRc3R0NO3ataN///7UqlULPz8/tm/fzvLlyx3+UGb0fqZn4sSJ/PDDD7Ru3ZpXXnmF+vXrc/nyZZYvX87o0aPTvWhIbtSvX59169bx7bffEhoaip+fHzVr1ky3bbdu3Zg+fTr9+/fnySef5MKFC7z99tv2j75z4u9//ztLly7l3nvv5fXXX8fHx4d///vfXL16Ncf7zI7nnnuOTz75hG7dujFx4kQqVqzI999/z+zZs3n66acznV1j4sSJrFy5kpYtWzJy5Ehq1qxJfHw8J06cYNmyZbz33nuUL1+eRx55hLlz5/LUU09x6NAh2rVrh9VqZevWrdSuXZuHH34YyHpfuLi4MHXqVAYMGED37t0ZOnQoCQkJTJs2jcuXL/OPf/wjz96f3P4uyEifPn344YcfePXVVwkKCmLLli32x/z9/e1DTVxdXZk6dSqPPfYYQ4cO5ZFHHuHIkSO89NJLdOzYkS5duti369SpE/fffz8TJ07EarVy11138csvvzBhwgS6d+/uMOPEhAkTuPPOO+nevTtjx461XwyidOnSPP/883n2/kkx49TT3kQKmMxmVyCDs7ETExNNcHBwumc2Z+bHH380jz/+uKlTp44JCAgwbm5uJjQ01PTq1cts3rzZoe3FixdNnz59TMmSJY3FYjE3/uheuHDBPPXUUyY0NNS4ubmZihUrmpdfftnEx8c77CMlJcXMmDHD1KtXz3h4eJiAgADTokULhwtapHfxgrVr15oSJUqYLl26mGvXrmX4elLPlk/vK3VGhJSUFPPWW2+ZGjVqGHd3d1O6dGnz6KOPmtOnTzvsy2q1mjfffNOUL1/eeHh4mAYNGpjvvvvONGzY0Dz44IP2djfPrhAfH2+eeuop06BBA+Pv72+8vb1NzZo1zbhx4xwuNJDZ+8lNZ+wbY8zp06fN448/bkJCQoy7u7sJCwszffv2TXcC/Rvd6mIQ6c2usGvXLtOqVSvj4+OTZjaJ9Hz00UemZs2axtPT01SpUsVMmTLFfPjhh2lmQsioljZt2qR5jo0bN5q77rrLeHp6mpCQEPPiiy+a999/P1cXg0jveTOajePkyZOmf//+JigoyLi7u5uaNWuaadOmOcxcYIytr8aPH++w7ty5c2bkyJGmcuXKxt3d3QQGBpomTZqYV1991Vy5csXeLi4uzrz++uumevXqxsPDwwQFBZl7773XbNq0yd4mo764eXaFVF9//bVp3ry58fLyMr6+vqZ9+/Zm48aNWXp/snqxjbz4XZCezH7vpfc9uGDBAtOgQQPj4eFhQkJCzMiRIx1mYUh17do1M2bMGBMeHm7c3NxMhQoVMqzpl19+Me3btzc+Pj7G39/fPPDAA+bo0aO3rF0kIxZjbhrAIyJSAB0/fpxatWoxbtw4XnnlFWeXI04WHR1NyZIlmTVrFsOHD3d2OSJSAGm4gogUOLt372bhwoW0bNkSf39/Dh06ZJ88PvXkISm+tmzZYh8j3KJFCydXIyIFlUKuiBQ4vr6+/PLLL3z44YdcvnyZgIAA2rZty6RJk7I0jZgUbf379yclJYV//vOfaab2ExFJpeEKIiIiIlLkaAoxERERESlyFHJFREREpMhRyBURERGRIkcnngFWq5U///wTPz+/HF+OVURERETyjzGG2NhYwsLCMr0wUCqFXGyXUc3qVapERERExHlOnz5N+fLlb9lOIRfw8/MDbG+av7+/k6uRnEpKSmLFihV06tQJd3d3Z5cj+UT9XHyor4sH9XPxkdu+jomJITw83J7bbkUhF+xDFPz9/RVyC7GkpCR8fHzw9/fXL8oiTP1cfKiviwf1c/GRV32d1aGlOvFMRERERIochVwRERERKXIUckVERESkyNGY3CwyxpCcnExKSoqzS5EMJCUl4ebmRnx8vPqpAHJ1dcXNzU3T9ImIyG2hkJsFiYmJREREcO3aNWeXIpkwxhASEsLp06cVpAooHx8fQkND8fDwcHYpIiJSxCnk3oLVauX48eO4uroSFhaGh4eHAlQBZbVauXLlCiVKlMjSJNFy+xhjSExM5Ny5cxw/fpzq1aurj0REJF8p5N5CYmIiVquV8PBwfHx8nF2OZMJqtZKYmIiXl5cCVAHk7e2Nu7s7J0+etPeTiIhIflESyCKFJpHc08+RiIjcLvqLIyIiIiJFjkKuiIiIiBQ5Crm3SYrVsPnYBb7Z9Qebj10gxWqcXZJdpUqVmDlzprPLyDNVqlQpkK9n3bp1WCwWLl++7OxSREREijyF3Ntg+d4I7n5rDY/8dwvPLtrFI//dwt1vrWH53oh8fd7Tp08zZMgQ+6wQFStW5Nlnn+XChQv5+rwF3dWrVxkzZgxVqlTBy8uLMmXK0LZtW7777jt7m6IW/EVERIobhdx8tnxvBE/P30lEdLzD+sjoeJ6evzPfgu7vv/9O06ZNOXz4MAsXLuTo0aO89957rF69mhYtWnDx4sV8ed6sSElJwWq1Ou35n3rqKb7++mveffddDh48yPLly+ndu3exD/8iIiJFiaYQy0cpVsOEb/eT3sAEA1iACd/up2OdEFxd8nbu3WeeeQYPDw9WrFiBt7c3ABUqVKBRo0ZUrVqVV199lTlz5tjbx8bG0r9/f5YuXYq/vz8vv/wyI0aMsD8+fvx4PvroI86ePUtQUBB9+vThnXfeAWzTrP3973/ns88+4/Lly9SrV4+33nqLtm3bAjBv3jxGjRrF/Pnzeemllzh8+DD//ve/efbZZ4mMjKRkyZL25xk5ciS7d+9m/fr1AGzatImxY8eyfft2SpcuzYMPPsiUKVPw9fUFICoqiiFDhrBq1SpCQkJ4+eWXb/nefPvtt/zrX/+ia9eugO2obZMmTeyPt23blpMnT/Lcc8/x3HPPAbZ5XgG+/PJLXn/9dY4ePUpoaCgjRozg+eeft2+bkJDAa6+9xsKFC4mKiqJChQqMHTuWIUOGpKkjLi6OPn36cOHCBZYtW0ZgYOAtaxeRAsSaAskJkJJo+0qznAQp12+tyX99pSTZtrUmgzX1sZQbHksGY7V9WVPApNy0bNJZbwXM9e3MX9s7LN/cxly/f6vb6wclUu/bl2+4vbH9zetT3bzu+n1XY2h9+RKuZ2eCxXJDu4y2v2n9jUwG6zNqn5lsb5LPwxAzfG1OFtoQHpxz63ZOoJCbj7Ydv5jmCO6NDBARHc+24xdpUTUoz5734sWL/Pjjj0yaNMkecFOFhIQwYMAAPv/8c2bPnm2/sMW0adN45ZVXGD9+PD/++CPPPfcctWrVomPHjnzxxRfMmDGDRYsWUbduXSIjI9m9e7d9n3/72984ceIEixYtIiwsjCVLltClSxf27NlD9erVAbh27RpTpkzhgw8+ICgoiPLlyzNu3Di+/PJLewBMSUlh8eLFTJw4EYA9e/bQuXNn3njjDT788EPOnTvH8OHDGT58OHPnzgVg8ODBnD59mjVr1uDm5sbw4cOJiorK9P0JCQlh2bJl9OrVCz8/vzSPf/XVVzRs2JAnn3ySJ554wr5+x44d9O3bl/Hjx9OvXz82bdrEsGHDCAoKYvDgwQAMHDiQzZs3884779CwYUOOHz/O+fPn0zxHdHQ03bt3x8vLi9WrV9tDu4jkA2MgIRbioyH+su027vptfDQkXYWkOEi8BkmpX3GQeH39zY+nhlmjy4fnBRegFIAuKlo4efk7u4IMKeTmo6jYjANuTtpl1ZEjRzDGULt27XQfr127NpcuXeLcuXOULVsWgFatWjF27FgAatSowcaNG5kxYwYdO3bk1KlThISE0KFDB9zd3alQoQLNmjUD4NixYyxcuJAzZ84QFhYGwAsvvMDy5cuZO3cukydPBiApKYnZs2fTsGFDex39+vVjwYIF9pC7evVqLl26xEMPPQTYgnf//v0ZNWoUANWrV+edd96hTZs2zJkzh1OnTvHDDz+wZcsWmjdvjtVqZdasWTRv3jzT9+f9999nwIABBAUF0bBhQ+6++2769OlDq1atAAgMDMTV1RU/Pz9CQkLs202fPp327dvz2muv2d+n/fv3M23aNAYPHszhw4dZvHgxK1eupEOHDoDtJLibnT17ln79+lG1alUWLlyoS9yKZJcxcO0ixEbAlUiIjbQtx0bC1XM3hdjrt+Y2DJFy9QRXD3DzuL7sDm7X17m4gosbuLhfv3W1Pe7ilsGXC1hcwOJqa2tfvn5rcbm+PvUxF9tRUIdbF+CG5dTH4IZly1/tU5fTvb0+uvHGK346tMGxvUPbm7fBoU1ycjK/7NhB06ZNcXN1S6ctjttk+fGbOygHn5hm+wqnxfCKqF4Bzq4gQwq5+aisX9au6JTVdnkl9aP3Gy9P3KJFC4c2LVq0sJ949dBDDzFz5kyqVKlCly5d6Nq1K/fffz9ubm7s3LkTYww1atRw2D4hIYGgoL+OTnt4eNCgQQOHNgMGDKBFixb8+eefhIWF8dlnn9G1a1dKlSoF2I6cHj16lM8++8yh9tRLLR8+fBg3NzeaNm1qf7xGjRoOwx/S07p1a37//Xe2bNnCxo0bWbNmDf/617+YMGGCPcCm58CBA/Ts2dNhXatWrZg5cyYpKSns2rULV1dX2rRpk+nzd+jQgTvvvJPFixfj6uqaaVuRYinhClw4guXsAapHrsHlx5/g6lmIPWsLslcibUdSs8vVA7xK2v4oe1+/9fQHD1/bl7s3uF+/9fAB9xu+PHyuP+5zPbh6/hVgXT1sgVWXfM8Rk5TE2aNWTPXO4O7u7HKkCFHIzUfNKgcSGuBFZHR8uiN1LEBIgBfNKuftWMxq1aphsVjYv38/DzzwQJrHDx48SKlSpShdunSm+0kNweHh4Rw6dIiVK1eyatUqhg0bxrRp01i/fj1WqxVXV1d27NiRJrCVKFHCvuzt7e0QqgGaNWtG1apVWbRoEU8//TRLliyxD0MA22V6hw4dysiRI9PUVqFCBQ4dOuRQZ3a4u7tzzz33cM899zB27FjefPNNJk6cyJgxYzI8smqMSfNc5oYxUjcPDclIt27d+PLLL9m/fz/169fPdu0iRYIxtqOv5w/D+SPXb68vx/wB2P5A1QHI6PxcnyDwCwW/ECgRcv22bNogm3rf3VtBVKQYUcjNR64uFsbdX4en5+/EguOQ9NRfs+Pur5PnJ50FBQXRsWNHZs+ezXPPPecQviIjI/nss88YOHCgQ2DbsmWLwz62bNlCrVq17Pe9vb3p0aMHPXr04JlnnqFWrVrs2bOHRo0akZKSQlRUFPfcc0+2a+3fvz+fffYZ5cuXx8XFhW7dutkfa9y4Mfv27aNatWrpblu7dm3bx1y//GIfPnHkyJEczUNbp04dkpOTiY+Px8PDAw8PD1JSUtK02bBhg8O6TZs2UaNGDVxdXalfvz5Wq5X169fbhyuk5x//+AclSpSgffv2rFu3jjp16mS7XpFCJSke/twJp7bAuUN/hdnE2Iy38S2DNagaZ664Uq7WnbgGhNlCrD3UBtuGBYiIZEAhN591qRfKnEcbM+Hb/Q4noYUEeDHu/jp0qReaL8/77rvv0rJlSzp37sybb75J5cqV2bdvHy+++CLlypVj0qRJDu03btzI1KlTeeCBB1i5ciX/+9//+P777wHb7AgpKSk0b94cHx8fPv30U7y9valYsSJBQUEMGDCAgQMH8s9//pNGjRpx/vx51qxZQ/369e0zGGRkwIABTJgwgUmTJtGnTx+8vP4aujFmzBjuuusunnnmGZ544gl8fX05cOAAK1euZNasWdSsWZMuXbrwxBNP8P777+Pi4sLIkSNveUS1bdu2PPLIIzRt2pSgoCD279/PK6+8Qrt27fD3tw2gr1SpEj/99BMPP/wwnp6elC5dmueff54777yTN954g379+rF582beffddZs+ebd9m0KBBPP744/YTz06ePElUVBR9+/Z1qOHtt98mJSWFe++9l3Xr1jn8QyFS6CVehdPb4OQmOLkRzvxim2XgZhZXCKwMpWtA6erXb2tAUDXwCSQlKYlfly0jtF1XXPUxtohklxETHR1tABMdHZ3msbi4OLN//34TFxeXq+dITrGaTUfPm69/PWM2HT1vklOsudpfVpw4ccIMHjzYhISEGHd3dxMeHm5GjBhhzp8/79CuYsWKZsKECaZv377Gx8fHBAcHm5kzZ9ofX7JkiWnevLnx9/c3vr6+5q677jKrVq2yP56YmGhef/11U6lSJePu7m5CQkLMgw8+aH777TdjjDFz5841AQEBGdZ55513GsCsWbMmzWPbtm0zHTt2NCVKlDC+vr6mQYMGZtKkSfbHIyIiTLdu3Yynp6epUKGCmTNnjqlYsaKZMWNGhs83efJk06JFCxMYGGi8vLxMlSpVzMiRIx3el82bN5sGDRoYT09Pc+OPyRdffGHq1Klj3N3dTYUKFcy0adMc9h0XF2eee+45Exoaajw8PEy1atXMRx99ZIwxZu3atQYwly5dsrcfMWKECQ0NNYcOHcqw3qIkL36eEhMTzddff20SExPzsDLJlWuXjDm03JgVrxnz/r3GTAg0Zpy/49fUasZ8/pgx66cZs+8bY84eMCYpPtPdqq+LB/Vz8ZHbvs4sr6XHYkxBnXjt9omJiSEgIIDo6Gj7kbxU8fHxHD9+nMqVKzscZZSCx2q1EhMTg7+/Py4uus5JQZQXP09JSUksW7aMrl274q6je85htcKpTXDgW9uR2si9pJkj1L88VGoFFVtCxbshqGq2x8Oqr4sH9XPxkdu+ziyvpUfDFUREJGsuHofdi2D3Qrh80vGxoGrXA+31YFuygnNqFBG5TiFXREQylhAL+7+BXQtsR21TefhB3Z5Qtb0t1PqFZLwPEREnUMgVERFHViuc+NkWbA8stV3lCwALVGkLdwyAWt1sc8eKiBRQCrkiImJz4ZhtKMLuRRB9+q/1QdXgjv7QoB8ElHdefSIi2aCQKyJS3J3dDytfg6Or/lrnGQD1etmO2pZvqosoiEiho5ArIlJcXTkHayfBzo/BWMHiYhtje8cjULMbuGtGGREpvBRyRUSKm+QE2Poe/PQ2JMTY1tXuAR0nQGAV59YmIpJHFHJFRIoLY2wnkq18HS6dsK0LbQidp9jmtBURKUIUckVEioM/f4UfX/1rGrASIdBhHDR4GHTxFBEpgvSbTXKsUqVKzJw5M8fbz5s3j5IlS+ZZPTcaP348d9xxR77s+3Zbt24dFouFy5cv5+vztG3bllGjRuXrc4gTxETAkqfh/Xa2gOvmDa1fghE7bDMmKOCKSBGl325F1ODBg3nggQfy9Tm2b9/Ok08+maW26QXifv36cfjw4Rw//7x587BYLPYvV1dXSpUqxQcffMALL7zA6tWr7W2z835s376dVq1a4evrS9myZenTpw/Jycm33G78+PEOtYSHh/N///d/nDt3LqcvEYCWLVsSERFBQEBArvaTKqPQ/NVXX/HGG2/kyXNIAZB4DdZPhVmNYfcCwED9vjDiF7j3VfAs4ewKRUTylYYrSI6VKVMmV9t7e3vj7e2dq334+/tz6NAhAKxWK7GxsZQvXx5fX19KlMjZH/F+/fpRo0YNfvnlF6xWK+vWrcvytnXr1mXVqlWkpKTw66+/MmTIEP744w9++OGHNG1TUlKwWCy43OJImoeHByEh+X81qcDAwHx/DrlNIvfAov5w+ZTtfvlm0GWKbSowEZFiQkdys8sYSLzqnC9j8uxlrF+/nmbNmuHp6UloaChjx451OFoZGxvLgAED8PX1JTQ0lBkzZqT5OPvmo7Pjx4+nQoUKeHp6EhYWxsiRIwHbx+AnT57kueeesx/phPSHKyxdupSmTZvi5eVF6dKl6dWrV6avw2KxEBISYv8KDg7G29vbYbjC+PHj+fjjj/nmm2/sz59ZcHVxcaFXr17Url2bunXr8swzz+DmlrX/B93c3AgJCaFcuXJ0796dkSNHsmLFCuLi4uyv97vvvqNOnTp4enpy8uRJLl26xMCBAylVqhQ+Pj7cd999HDlyxL7P9I68btq0idatW+Pt7U14eDgjR47k6tWr9scTEhJ46aWXCA8Px9PTk+rVq/Phhx9y4sQJ2rVrB0CpUqWwWCwMHjwYSDtc4VZ1pb6eH3/8kdq1a1OiRAm6dOlCRERElt4rySeHfoAPO9sCbkA49PkIhqxQwBWRYkdHcrMr6RpMDnPOc7/yJ3j45no3f/zxB127dmXw4MF88sknHDx4kCeeeAIvLy/Gjx8PwOjRo9m4cSNLly4lODiY119/nZ07d2Y4zvWLL75gxowZLFq0iLp16xIZGcnu3bsB28fgDRs25Mknn+SJJ57IsK7vv/+eXr168eqrr/Lpp5+SmJjI999/n+vX+8ILL3DgwAFiYmKYO3cukPlRy549e/Lmm2/SqVMnKlWqlKvn9vb2xmq12v+BuHbtGlOmTOGDDz4gKCiIsmXL0r9/f44cOcLSpUvx9/dnzJgxdO3alf379+Pu7p5mn3v27KFz58688cYbfPjhh5w7d47hw4czfPhw++sbOHAgmzdv5p133qFhw4YcP36c8+fPEx4ezpdffknv3r05dOgQ/v7+GR5NHzx48C3runbtGm+//TaffvopLi4uPProo7zwwgt89tlnuXrfJAeMgS2zbSeXYaByG+j7MXiXcnZlIiJOoZBbDM2ePZvw8HDeffddLBYLtWrV4s8//2TMmDG8/vrrXL16lY8//pgFCxbQvn17AObOnUtYWMbh/tSpU4SEhNChQwfc3d2pUKECzZo1A2yB0tXVFT8/v0w/dp80aRIPP/wwEyZMsK9r2LBhpq8lOjraYViCr69vmiOJJUqUwNvbm4SEhFt+7P/xxx8zb948XnzxRdq0acMPP/xAnTp1AHj77bf5+OOP2bNnT6b7SHXw4EHmzJlDs2bN8PPzAyApKYnZs2fbX1dqiNy4cSMtW7YE4LPPPiM8PJyvv/6ahx56KM1+p02bRv/+/e1HXatXr84777xDmzZtmDNnDqdOnWLx4sWsXLmSDh06AFClyl9zn6YG/LJly2Z44l9W60pKSuK9996jatWqAAwfPpyJEydm6f2RPJSSBMtegB3zbPebDIaub4Nr2n+SRESKC4Xc7HL3sR1RddZz54EDBw7QokUL+7ABgFatWnHlyhXOnDnDpUuXSEpKsodUgICAAGrWrJnhPh966CFmzpxJlSpV6NKlC127duX+++/P8sf8ALt27cr0SG96/Pz82LlzJ2Abk3vt2rVsbX8jq9XK2LFjeeONNxg2bBhlypShdevWfPfdd9x1113s3buXu+++O9N97NmzhxIlSpCSkkJCQgJt27bl/ffftz/u4eFBgwYN7PcPHDiAm5sbzZs3t68LCgqiZs2aHDhwIN3n2LFjB0ePHnU4WmqMwWq1cvz4cfbs2YOrqytt2rTJ6VuR5bp8fHzsARcgNDSUqKioHD+v5EDcJVg8CI6vByzQeRLcNUyX4RWRYk8hN7ssljwZMuBMxhiHgJu6DmxjXG9cTq9NesLDwzl06BArV65k1apVDBs2jGnTprF+/fp0P3JPT05OQnNxcaFatWqALaTGxMRkex+poqKiiIyMpFGjRgAMGTKE2NhYOnTowAcffMAXX3zBmjVrMt1HzZo1Wbp0Ka6uroSFheHp6enwuLe3t8P7mtF7ml4fpbJarQwdOtQ+5vlGFSpU4OjRo5nWmBVZrevmvr3x+0dugwvHYEE/uHAE3H2hz4dQ8z5nVyUiUiDoxLNiqE6dOmzatMkhjGzatAk/Pz/KlStH1apVcXd3Z9u2bfbHY2JiHE46So+3tzc9evTgnXfeYd26dWzevNn+0b6HhwcpKSmZbt+gQQOHab/yUlaev1SpUnh7e/PTTz/Z140aNYqXXnqJRx55hPbt2zsc3c7oeapVq0blypXTBNz01KlTh+TkZLZu3Wpfd+HCBQ4fPkzt2rXT3aZx48bs27ePatWqpfny8PCgfv36WK1W1q9fn2GNQKbvR07qktvsxEb4oL0t4PqXhyE/KuCKiNxAIbcIi46OZteuXQ5fp06dYtiwYZw+fZoRI0Zw8OBBvvnmG8aNG8fo0aNxcXHBz8+PQYMG8eKLL7J27Vr27dvH448/jouLS4ZHF+fNm8eHH37I3r17+f333/n000/x9vamYsWKgG0mhp9++ok//viD8+fPp7uPcePGsXDhQsaNG8eBAwfYs2cPU6dOzZP3olKlSvz2228cOnSI8+fPk5SUlKaNp6cnzz77LBMmTGDWrFkcOXKEn3/+mc2bN+Pr68vPP/9sn64sr1SvXp2ePXvyxBNPsGHDBnbv3s2jjz5KuXLl6NmzZ7rbjBkzhs2bN/PMM8+wa9cu+/jZESNG2F/roEGDePzxx/n66685fvw469atY/HixQBUrFgRi8XCd999x7lz57hy5Uqe1CW30a+fwSc9bUMVwhrDE6shpL6zqxIRKVAUcouwdevW0ahRI4ev119/nXLlyrFs2TK2bdtGw4YNeeqppxgyZAh///vf7dtOnz6dFi1a0L17dzp06ECrVq2oXbs2Xl5e6T5XyZIl+e9//0urVq3sR2S//fZbgoKCAJg4cSInTpygatWqGc6v27ZtW/73v/+xdOlS7rjjDu69916HI4m58cQTT1CzZk2aNm1KmTJl2LhxY7rtJk2axPTp03n//fdp0KAB/fv3p2bNmpw4cYJmzZrRrVu3DEN6Ts2dO5cmTZrQvXt3WrRogTGGZcuWZTjMo0GDBqxfv54jR45wzz330KhRI1577TVCQ0PtbebMmUOfPn0YNmwYtWrV4oknnrBPMVauXDkmTJjA2LFjCQ4OZvjw4XlSl9wGViusGg/fDANrEtR5AP62DPzyfx5lEZHCxmI0gI6YmBgCAgKIjo7G39/f4bH4+HiOHz9O5cqVMwx4xcHVq1cpV64c//znPxkyZIizy0lX6phcf3//W15goTD58ccfue+++4iPj7cPNSis8uLnKSkpiWXLltG1a9fiFbgTr8KSoXDgW9v91i9C21eK9GV5i21fFzPq5+Ijt32dWV5Lj048k3T9+uuvHDx4kGbNmhEdHW2fFkofVd9eZ8+e5ZtvvqF69eqFPuBKLlw9D/N7Q8QucPWAHu9Cw37OrkpEpEBTyJUMvf322xw6dAgPDw+aNGnCzz//TOnSpZ1dVrHStWtXYmNjmT17trNLEWdJToTPH7MFXJ8geHgBVLjL2VWJiBR4CrmSrkaNGrFjxw5nl1HsqQ+E5WPg1Cbw9Ie//QBlMp6vWkRE/lJ0B3OJiBR22z+EXz4CLND7QwVcEZFsUMjNIp2fJ5J7+jnKhhMb4IeXbMsdxkGNTs6tR0SkkFHIvYXUs/9yc7lYEbFJ/TnSGdS3cOkkLB4I1mSo1wdajXJ2RSIihY7G5N6Cq6srJUuWJCoqCgAfH58ML4ggzmW1WklMTCQ+Pr5ITSFWFBhjuHbtGlFRUZQsWRJXV1dnl1RwJV6FRf3h2gUIbQg9ZtkuJy4iItmikJsFISG2idZTg64UTMYY4uLi8Pb21j8iBVTJkiXtP0+SDmPg66fh7F7wLWubScHDx9lViYgUSgq5WWCxWAgNDaVs2bLpXg5WCoakpCR++uknWrdurY/DCyB3d3cdwb2Vn96G/d+Aizv0+xQCyju7IhGRQkshNxtcXV31R7oAc3V1JTk5GS8vL4VcKXwOfg9r37Qtd5+uuXBFRHJJAxdFRJzt7H746knbcrOh0Higc+sRESkCnBpyk5OT+fvf/07lypXx9vamSpUqTJw4EavVam9jjGH8+PGEhYXh7e1N27Zt2bdvn8N+EhISGDFiBKVLl8bX15cePXpw5syZ2/1yRESy79pFWPQIJF6BSvdA50nOrkhEpEhwash96623eO+993j33Xc5cOAAU6dOZdq0acyaNcveZurUqUyfPp13332X7du3ExISQseOHYmNjbW3GTVqFEuWLGHRokVs2LCBK1eu0L17d1JSUpzxskREsiYlGf43GC6dgJIVoe8n4KqhNiIiecGpY3I3b95Mz5496datGwCVKlVi4cKF/PLLL4DtKO7MmTN59dVX6dWrFwAff/wxwcHBLFiwgKFDhxIdHc2HH37Ip59+SocOHQCYP38+4eHhrFq1is6dOzvnxYmI3MqKV+H4enD3hUcWgk+gsysSESkynBpy7777bt577z0OHz5MjRo12L17Nxs2bGDmzJkAHD9+nMjISDp1+utKP56enrRp04ZNmzYxdOhQduzYQVJSkkObsLAw6tWrx6ZNm9INuQkJCSQkJNjvx8TEALaz8zV7QuGV2nfqw6KtqPSzZddnuG19D4DkHrMxgTWgkL+mvFZU+loyp34uPnLb19ndzqkhd8yYMURHR1OrVi1cXV1JSUlh0qRJPPLIIwBERkYCEBwc7LBdcHAwJ0+etLfx8PCgVKlSadqkbn+zKVOmMGHChDTrV6xYgY+P5qQs7FauXOnsEuQ2KMz9XOrqEe4+MhmAAyG9OPy7BX5f5uSqCq7C3NeSdern4iOnfZ3dq886NeR+/vnnzJ8/nwULFlC3bl127drFqFGjCAsLY9CgQfZ2N0/sb4y55WT/mbV5+eWXGT16tP1+TEwM4eHhdOrUCX9//1y8InGmpKQkVq5cSceOHTWFWBFW6Ps5JQm3/76BxaRgrXU/1Xq9RzWLJrpJT6Hva8kS9XPxkdu+Tv3kPaucGnJffPFFxo4dy8MPPwxA/fr1OXnyJFOmTGHQoEH2KyNFRkYSGhpq3y4qKsp+dDckJITExEQuXbrkcDQ3KiqKli1bpvu8np6eeHp6plnv7u6uH7AiQP1YPBTafv7lfbhwBHxK49LzXVw80v4uEkeFtq8lW9TPxUdO+zq72zj18MG1a9dwcXEswdXV1T6FWOXKlQkJCXE4rJ2YmMj69evtAbZJkya4u7s7tImIiGDv3r0ZhlwREae4EgXr/mFb7jAOvEs6tRwRkaLMqUdy77//fiZNmkSFChWoW7cuv/76K9OnT+fxxx8HbMMURo0axeTJk6levTrVq1dn8uTJ+Pj40L9/fwACAgIYMmQIzz//PEFBQQQGBvLCCy9Qv359+2wLIiIFwuoJkBADYY3gjkedXY2ISJHm1JA7a9YsXnvtNYYNG0ZUVBRhYWEMHTqU119/3d7mpZdeIi4ujmHDhnHp0iWaN2/OihUr8PPzs7eZMWMGbm5u9O3bl7i4ONq3b8+8efN0CV4RKTj+2AG/fmZbvm8quGgcrohIfnJqyPXz82PmzJn2KcPSY7FYGD9+POPHj8+wjZeXF7NmzXK4iISISIFhtcIPYwADDR6G8GbOrkhEpMjToQQRkfz22+dwZjt4lIAO451djYhIsaCQKyKSnxJiYdU423LrF8A/NPP2IiKSJxRyRUTy00/T4MpZCKwCdw1zdjUiIsWGQq6ISH45fxQ2z7Ytd/kHuGlOXBGR20UhV0Qkv/z4MliToHonqNHZ2dWIiBQrCrkiIvnh8I9wZAW4uEPnKc6uRkSk2FHIFRHJa8kJsPxl2/JdT0Ppas6tR0SkGFLIFRHJa1vmwMVjUCIYWr/o7GpERIolhVwRkbwUG2mbUQFsc+J6+Tu1HBGR4kohV0QkL60aD4lXoFxT29XNRETEKRRyRUTyyultsHuhbbnrVHDRr1gREWfRb2ARkbxgtcIPL9mWGz0K5Zo4tx4RkWJOIVdEJC/s+gz+/BU8/aH9OGdXIyJS7CnkiojkVtxl21hcgDZjoERZZ1YjIiIo5IqI5N76qXDtPJSuAc2edHY1IiKCQq6ISO5cOQfbP7Atd54Cbh7OrUdERACFXBGR3PnlQ0hJsJ1oVq29s6sREZHrFHJFRHIqKR62/de2fNcwsFicW4+IiNgp5IqI5NSe/9nG4vqXhzo9nV2NiIjcQCFXRCQnjIEts23LzZ8EV3fn1iMiIg4UckVEcuL3tRC1H9x9ofEgZ1cjIiI3UcgVEcmJzdeP4jZ6FLxLOrUUERFJSyFXRCS7zh2CoysBC9z1lLOrERGRdCjkiohkV+pY3FrdILCKc2sREZF0KeSKiGTH1Quwe5Ft+a5hzq1FREQypJArIpIdv3wEyfEQ2hAqtnR2NSIikgGFXBGRrEpOgO3XL/7QYrgu/iAiUoAp5IqIZNXer+DKWfALhToPOLsaERHJhEKuiEhWGAOb/21bbvYEuHk4tx4REcmUQq6ISFac+BnO7gF3H2jyN2dXIyIit6CQKyKSFalHcRs+Aj6Bzq1FRERuSSFXRORWzh+Fw8tty3c97dxaREQkSxRyRURuZesc222NLlC6unNrERGRLFHIFRHJzLWLsGuBbVkXfxARKTQUckVEMrNjHiRdg+D6ULm1s6sREZEsUsgVEclIciJse9+23GKYLv4gIlKIKOSKiGRk/9cQGwG+ZaFeb2dXIyIi2aCQKyKSHmNg87u25WZPgpunc+sREZFsUcgVEUnPyU0QsRvcvKDp486uRkREskkhV0QkPVtm224b9APfIOfWIiIi2aaQKyJys4u/w8HvbcuaNkxEpFBSyBURudmW9wAD1TpA2VrOrkZERHJAIVdE5Ebx0fDrfNuyjuKKiBRaCrkiIjfavxSSrkLpGlD1XmdXIyIiOaSQKyJyo98+t902fFgXfxARKcQUckVEUkWfgRMbbMv1H3JuLSIikisKuSIiqfb8DzBQsRWUrODsakREJBcUckVEwHaFs93Xhyo06OvcWkREJNcUckVEAM7uhXMHwNUD6vR0djUiIpJLCrkiIvDXCWc1uoB3KefWIiIiuaaQKyJiTYE9X9iWG/Rzbi0iIpInFHJFRI7/BLER4FUSqnd0djUiIpIHFHJFRH5bbLut+yC4eTq3FhERyRMKuSJSvCVegwNLbcsaqiAiUmQo5IpI8XZoGSResc2LG97c2dWIiEgeUcgVkeItdahCg37gol+JIiJFhX6ji0jxdfU8HF1lW66vC0CIiBQlCrkiUnzt/QpMCoQ1gjI1nF2NiIjkIYVcESm+fltku9UJZyIiRY5CrogUT+ePwh87wOIK9Xo7uxoREcljCrkiUjztuX7CWdV2UKKsc2sREZE8p5ArIsWPMfDb57blBg87txYREckXCrkiUvyc2Q6XToC7L9Tq6uxqREQkHyjkikjxk3oUt/b94OHr3FpERCRfKOSKSPGSnGibOgyggebGFREpqhRyRaR4OboK4i5CiWCo3MbZ1YiISD5xesj9448/ePTRRwkKCsLHx4c77riDHTt22B83xjB+/HjCwsLw9vambdu27Nu3z2EfCQkJjBgxgtKlS+Pr60uPHj04c+bM7X4pIlIYpA5VqNcHXN2cW4uIiOQbp4bcS5cu0apVK9zd3fnhhx/Yv38///znPylZsqS9zdSpU5k+fTrvvvsu27dvJyQkhI4dOxIbG2tvM2rUKJYsWcKiRYvYsGEDV65coXv37qSkpDjhVYlIgRUfDYd+sC031AUgRESKMqcexnjrrbcIDw9n7ty59nWVKlWyLxtjmDlzJq+++iq9evUC4OOPPyY4OJgFCxYwdOhQoqOj+fDDD/n000/p0KEDAPPnzyc8PJxVq1bRuXPn2/qaRKQA278UUhKgTC0IaeDsakREJB85NeQuXbqUzp0789BDD7F+/XrKlSvHsGHDeOKJJwA4fvw4kZGRdOrUyb6Np6cnbdq0YdOmTQwdOpQdO3aQlJTk0CYsLIx69eqxadOmdENuQkICCQkJ9vsxMTEAJCUlkZSUlF8vV/JZat+pD4u23PSz6+5FuAApdftgTU7O48okr+lnunhQPxcfue3r7G7n1JD7+++/M2fOHEaPHs0rr7zCtm3bGDlyJJ6engwcOJDIyEgAgoODHbYLDg7m5MmTAERGRuLh4UGpUqXStEnd/mZTpkxhwoQJadavWLECHx+fvHhp4kQrV650dglyG2S3n70SL9Dp5EYAVp8LJG7ZsvwoS/KBfqaLB/Vz8ZHTvr527Vq22js15FqtVpo2bcrkyZMBaNSoEfv27WPOnDkMHDjQ3s5isThsZ4xJs+5mmbV5+eWXGT16tP1+TEwM4eHhdOrUCX9//5y+HHGypKQkVq5cSceOHXF3d3d2OZJPctrPLpvewbLPYK3QgnYPDLz1BuJ0+pkuHtTPxUdu+zr1k/escmrIDQ0NpU6dOg7rateuzZdffglASEgIYDtaGxoaam8TFRVlP7obEhJCYmIily5dcjiaGxUVRcuWLdN9Xk9PTzw9PdOsd3d31w9YEaB+LB6y1c/GwN7/AeDS8GFc9P1RqOhnunhQPxcfOe3r7G7j1NkVWrVqxaFDhxzWHT58mIoVKwJQuXJlQkJCHA5rJyYmsn79enuAbdKkCe7u7g5tIiIi2Lt3b4YhV0SKmbN74dwBcPWAOg84uxoREbkNnHok97nnnqNly5ZMnjyZvn37sm3bNt5//33ef/99wDZMYdSoUUyePJnq1atTvXp1Jk+ejI+PD/379wcgICCAIUOG8PzzzxMUFERgYCAvvPAC9evXt8+2ICLFXOrcuDW6gHdJp5YiIiK3R5ZC7m+//ZbtHdepUwc3t8x3f+edd7JkyRJefvllJk6cSOXKlZk5cyYDBgywt3nppZeIi4tj2LBhXLp0iebNm7NixQr8/PzsbWbMmIGbmxt9+/YlLi6O9u3bM2/ePFxdXbNdt4gUMdYU2POFbbmB5sYVESkushRy77jjDiwWC8aYLO3UxcWFw4cPU6VKlVu27d69O927d8/wcYvFwvjx4xk/fnyGbby8vJg1axazZs3KUn0iUoyc+BliI8CrJFTv6OxqRETkNsnycIWtW7dSpkyZW7YzxlCvXr1cFSUikmf2fW27rdMT3NKecCoiIkVTlkJumzZtqFatmsPldjPTunVrvL29c1OXiEjuWVPg4Pe25To9nFuLiIjcVlkKuWvXrs3WTpdpknURKQjObIerUeAZAJVaO7saERG5jXI1hZgxJsvjdEVEbrsD39pua3YBNw/n1iIiIrdVjkLuJ598Qv369fH29sbb25sGDRrw6aef5nVtIiI5ZwwcWGpbrpXxya0iIlI0ZXue3OnTp/Paa68xfPhwWrVqhTGGjRs38tRTT3H+/Hmee+65/KhTRCR7IvfA5VPg5g3V2ju7GhERuc2yHXJnzZrFnDlzGDjwr2u/9+zZk7p16zJ+/HiFXBEpGFKHKlRrDx6+zq1FRERuu2wPV4iIiEj3crktW7YkIiIiT4oSEcm11JBbW7MqiIgUR9kOudWqVWPx4sVp1n/++edUr149T4oSEcmV80fh3AFwcYManZxdjYiIOEG2hytMmDCBfv368dNPP9GqVSssFgsbNmxg9erV6YZfEZHb7uD1o7iVW4N3KefWIiIiTpHtI7m9e/dm69atlC5dmq+//pqvvvqK0qVLs23bNh588MH8qFFEJHvsQxXud24dIiLiNNk+kgvQpEkT5s+fn9e1iIjkXvQZ+GMHYIGa3ZxdjYiIOEmWQm5MTAz+/v725cykthMRcYrUy/iGNwe/YOfWIiIiTpOlkFuqVCkiIiIoW7YsJUuWxGKxpGljjMFisZCSkpLnRYqIZJmGKoiICFkMuWvWrCEwMBCAtWvX5mtBIiI5dvUCnNxoW66tq5yJiBRnWQq5bdq0SXdZRKRAObQMjBVCGkCpSs6uRkREnChHJ57Fx8fz22+/ERUVhdVqdXisRw9NvC4iTqKhCiIicl22Q+7y5csZOHAg58+fT/OYxuSKiNPEx8Dv14dTKeSKiBR72Z4nd/jw4Tz00ENERERgtVodvhRwRcRpjq6ElEQIqgZlajm7GhERcbJsh9yoqChGjx5NcLCm5hGRAuTGoQrpzAAjIiLFS7ZDbp8+fVi3bl0+lCIikkNJ8XB4hW25loYqiIhIDsbkvvvuuzz00EP8/PPP1K9fH3d3d4fHR44cmWfFiYhkye9rIekq+JeDsEbOrkZERAqAbIfcBQsW8OOPP+Lt7c26descLgxhsVgUckXk9jvwne22VndwyfYHVCIiUgRlO+T+/e9/Z+LEiYwdOxYX/TEREWdLSYZD1y/lq1kVRETkumyn1MTERPr166eAKyIFw8mNEHcJvAOhQgtnVyMiIgVEtpPqoEGD+Pzzz/OjFhGR7EudVaFWV3DN0fVtRESkCMr2X4SUlBSmTp3Kjz/+SIMGDdKceDZ9+vQ8K05EJFNWKxxMHaqgqy2KiMhfsh1y9+zZQ6NGtrOX9+7d6/CYRXNTisjt9OdOiP0TPPygchtnVyMiIgVItkPu2rVr86MOEZHsO7DUdlu9I7h7ObcWEREpUHT2mIgUTsY4XuVMRETkBlkKub169SImJibLOx0wYABRUVE5LkpE5JbOHYCLv4Orp+1IroiIyA2yNFzhm2++4dy5c1naoTGGb7/9ljfeeIOyZcvmqjgRkYy4pM6NW/Ve8PRzbjEiIlLgZCnkGmOoUaNGftciIpJlLvZZFbo7txARESmQshRyc3KyWbly5bK9jYhIVvgknMUStRcsrlDjPmeXIyIiBVCWQm6bNpqaR0QKjtDLO2wLlVqBb5BzixERkQJJsyuISKETGn095OoCECIikgGFXBEpXGIjCbp6xLZcq5tzaxERkQJLIVdEChWXw8sAsIY1Af8wJ1cjIiIFlUKuiBQqlkO2kGtq6iiuiIhkLNshd/78+Rk+9uKLL+aqGBGRTMVdxnJyAwBWDVUQEZFMZDvkDh8+nO+++y7N+ueeey7TACwikmtHVmKxJhPrFQaBVZ1djYiIFGDZDrmLFi3i0Ucf5aeffrKvGzFiBIsXL87RfLoiIll20PYPdkRAEycXIiIiBV22Q26XLl147733eOCBB/jll18YNmwYX331FWvXrqVWrVr5UaOICCTFw9FVAEQENHZyMSIiUtBl6WIQN3v44Ye5dOkSd999N2XKlGH9+vVUq1Ytr2sTEfnL8Z8g8QqmRAiXfSo7uxoRESngshRyR48ene76smXL0qhRI2bPnm1fN3369LypTETkRteHKlhr3AdGE8OIiEjmshRyf/3113TXV61alZiYGPvjFosl7yoTEUlltcKhHwAwNbvCwTgnFyQiIgVdlkKuTigTEaf64xe4GgWe/piKreDgKmdXJCIiBVy2P/OLjo7m4sWLadZfvHiRmJiYPClKRMTB9aEKVO8Erh7OrUVERAqFbIfchx9+mEWLFqVZv3jxYh5++OE8KUpExM4YOHA95OoCECIikkXZDrlbt26lXbt2ada3bduWrVu35klRIiJ25w/DxWO2I7jVOji7GhERKSSyHXITEhJITk5Osz4pKYm4OJ0MIiJ5LHWoQuU24OXv3FpERKTQyHbIvfPOO3n//ffTrH/vvfdo0kRXIRKRPHbwe9uthiqIiEg2ZPtiEJMmTaJDhw7s3r2b9u3bA7B69Wq2b9/OihUr8rxAESnGYv6EP3YAFqjZ1dnViIhIIZLtI7mtWrVi8+bNlC9fnsWLF/Ptt99SrVo1fvvtN+655578qFFEiqtDy2y35e8Ev2Dn1iIiIoVKji7re8cdd7BgwYK8rkVExJGGKoiISA7lKOSmpKTw9ddfc+DAASwWC3Xq1KFHjx64urrmdX0iUlzFXYbjP9mWa3V3aikiIlL4ZDvkHj16lG7dunHmzBlq1qyJMYbDhw8THh7O999/T9WqVfOjThEpbo6uAmsylK4Jpas5uxoRESlksj0md+TIkVSpUoXTp0+zc+dOfv31V06dOkXlypUZOXJkftQoIsXRQV0AQkREci7bR3LXr1/Pli1bCAwMtK8LCgriH//4B61atcrT4kSkmEpOgCMrbcsaqiAiIjmQ7SO5np6exMbGpll/5coVPDx0TXkRyQPHf4LEK+AXCmGNnF2NiIgUQtkOud27d+fJJ59k69atGGMwxrBlyxaeeuopevTokR81ikhxkzpUoWZXcMn2rykREZHsh9x33nmHqlWr0qJFC7y8vPDy8qJVq1ZUq1aNmTNn5kOJIlKsWK1w6AfbssbjiohIDmV7TG7JkiX55ptvOHr0KAcOHMAYQ506dahWTWc/i0ge+GMHXDkLnv5QSReYERGRnMn2kdyJEydy7do1qlWrxv3330+PHj2oVq0acXFxTJw4MT9qFJHiJHWoQvWO4KZx/iIikjPZDrkTJkzgypUradZfu3aNCRMm5ElRIlKM6SpnIiKSB7Idco0xWCyWNOt3797tMK1Ydk2ZMgWLxcKoUaMcnmv8+PGEhYXh7e1N27Zt2bdvn8N2CQkJjBgxgtKlS+Pr60uPHj04c+ZMjusQESc6dxguHAEXd6jW0dnViIhIIZblkFuqVCkCAwOxWCzUqFGDwMBA+1dAQAAdO3akb9++OSpi+/btvP/++zRo0MBh/dSpU5k+fTrvvvsu27dvJyQkhI4dOzpMYTZq1CiWLFnCokWL2LBhA1euXKF79+6kpKTkqBYRcaLUoQpV2oCXv3NrERGRQi3LJ57NnDkTYwyPP/44EyZMICAgwP6Yh4cHlSpVokWLFtku4MqVKwwYMID//ve/vPnmm/b1xhhmzpzJq6++Sq9evQD4+OOPCQ4OZsGCBQwdOpTo6Gg+/PBDPv30Uzp06ADA/PnzCQ8PZ9WqVXTu3Dnb9YiIE2mogoiI5JEsh9xBgwYBULlyZVq1aoWbW7YnZkjXM888Q7du3ejQoYNDyD1+/DiRkZF06tTJvs7T05M2bdqwadMmhg4dyo4dO0hKSnJoExYWRr169di0aVOGITchIYGEhAT7/ZiYGACSkpJISkrKk9clt19q36kPC6nYCNz/+AWApCodIYN+VD8XH+rr4kH9XHzktq+zu12Wk6rVasVqtdKmTRv7urNnz/Lee+9x9epVevTowd13352tJ1+0aBE7d+5k+/btaR6LjIwEIDg42GF9cHAwJ0+etLfx8PCgVKlSadqkbp+eKVOmpHuS3IoVK/Dx8cnWa5CCZ+XKlc4uQXKg0vk1NAQu+lTl55933rK9+rn4UF8XD+rn4iOnfX3t2rVstc9yyB0yZAju7u68//77AMTGxnLnnXcSHx9PaGgoM2bM4JtvvqFr165Z2t/p06d59tlnWbFiBV5eXhm2u/kkt4xOfMtOm5dffpnRo0fb78fExBAeHk6nTp3w99c4wMIqKSmJlStX0rFjR9zd3Z1djmST68J5AAQ0H0DXlhn/HlE/Fx/q6+JB/Vx85LavUz95z6osh9yNGzfy7rvv2u9/8sknJCcnc+TIEQICAhgzZgzTpk3LcsjdsWMHUVFRNGnSxL4uJSWFn376iXfffZdDhw4BtqO1oaGh9jZRUVH2o7shISEkJiZy6dIlh6O5UVFRtGzZMsPn9vT0xNPTM816d3d3/YAVAerHQig+Gk78DIBr3R64ZqH/1M/Fh/q6eFA/Fx857evsbpPl2RX++OMPqlevbr+/evVqevfubT8BbdCgQWmm98pM+/bt2bNnD7t27bJ/NW3alAEDBrBr1y6qVKlCSEiIwyHtxMRE1q9fbw+wTZo0wd3d3aFNREQEe/fuzTTkikgBc2QlWJOgdA0oXf3W7UVERG4hy0dyvby8iIuLs9/fsmUL06ZNc3g8vYtEZMTPz4969eo5rPP19SUoKMi+ftSoUUyePJnq1atTvXp1Jk+ejI+PD/379wcgICCAIUOG8PzzzxMUFERgYCAvvPAC9evXt8+2ICKFgGZVEBGRPJblkNuwYUM+/fRTpkyZws8//8zZs2e599577Y8fO3aMsLCwPC3upZdeIi4ujmHDhnHp0iWaN2/OihUr8PPzs7eZMWMGbm5u9O3bl7i4ONq3b8+8efNwdXXN01pEJJ8kJ9iO5ALU6u7cWkREpMjIcsh97bXX6Nq1K4sXLyYiIoLBgwc7jJVdsmQJrVq1ylUx69atc7hvsVgYP34848ePz3AbLy8vZs2axaxZs3L13CLiJMd/hsRYKBECYY2dXY2IiBQRWQ657dq1Y8eOHaxcuZKQkBAeeughh8fvuOMOmjVrlucFikgRl3qVs1pdwSXbVxoXERFJV7au6FCnTh3q1KmT7mNPPvlknhQkIsWINQUOLbMtazyuiIjkIR02ERHnObUZrpwFrwCo1NrZ1YiISBGikCsizrNvie221v3g5uHcWkREpEhRyBUR50hJhv3f2JbrPejcWkREpMjJcshNTk7OzzpEpLg5uRGungPvUlC5jbOrERGRIibLITc0NJQXXniBAwcO5Gc9IlJcpA5VqH0/uOpSniIikreyHHJHjx7Nt99+S7169WjRogUffvhhtq5wJiJil5IMB5baluv2cm4tIiJSJGU55L788sscOnSIdevWUatWLUaNGkVoaCh/+9vf2LhxY37WKCJFzYmf4NoF8AmCSvc4uxoRESmCsn3i2T333MPcuXOJjIxk5syZHD16lHvuuYeaNWsyderU/KhRRIoa+1CFHuCarem6RUREsiTHsyv4+voyZMgQfv75Z7799lvOnz/Pyy+/nJe1iUhRlJIEB761LdfTUAUREckfOQ65165dY+7cubRu3ZoePXoQFBTEpEmT8rI2ESmKfl8PcZfAtwxUbOXsakREpIjK9ueEP//8M3PnzuWLL74gJSWFPn368Oabb9K6ta5WJCJZkDpUoU5PcHF1bi0iIlJkZTnkTp48mXnz5nHs2DGaNm3KtGnTeOSRR/D398/P+kSkKElOhIPXhypoVgUREclHWQ65M2bM4NFHH2XIkCHUq1cvP2sSkaLq97UQHw0lQqDCXc6uRkREirAsh9w///wTd3dN2C4iuZA6VKHuAxqqICIi+SrLJ5717NmT6Oho+/1JkyZx+fJl+/0LFy5Qp06dPC1ORIqQpHg4+L1tue6Dzq1FRESKvCyH3OXLl5OQkGC//9Zbb3Hx4kX7/eTkZA4dOpS31YlI0XFsDSTEgF8YlG/m7GpERKSIy/EUYsaYvKxDRIo6+1CFB8Elx796REREskR/aUQk/yXFwaFltmUNVRARkdsgyyHXYrFgsVjSrBMRuaWjqyDxCgSEQ/mmzq5GRESKgSzPrmCMYfDgwXh6egIQHx/PU089ha+vL4DDeF0REQd7v7Ld1n0A9M+xiIjcBlkOuYMGDXK4/+ijj6ZpM3DgwNxXJCJFS+I1OLzctqyhCiIicptkOeTOnTs3P+sQkaLqyApIugYlK0JYY2dXIyIixYROPBOR/LUvdajCgxqqICIit41Crojkn4QrcHiFbVlDFURE5DZSyBWR/HPkR0iOg1KVIbShs6sREZFiRCFXRPJP6qwK9XppqIKIiNxWCrkikj8SYuHIStuyhiqIiMhtppArIvnj0HJISYCg6hBcz9nViIhIMaOQKyL5Q7MqiIiIEynkikjei4+2XcoXNFRBREScQiFXRPLeoR8gJRHK1ILgOs6uRkREiiGFXBHJe3tvGKogIiLiBAq5IpK34i7BsTW2ZYVcERFxEoVcEclbB5eBNQnK1oUyNZ1djYiIFFMKuSKSt/ZpqIKIiDifQq6I5J2rF+D3dbZlhVwREXEihVwRyTu/LQJrMoQ2hNLVnF2NiIgUYwq5IpI3jIFf5tqWmwx2aikiIiIKuSKSN05uggtHwN0X6j/k7GpERKSYU8gVkbyxY57ttn4f8PRzaikiIiIKuSKSe9cuwv5vbMsaqiAiIgWAQq6I5N7uhZCSYDvhrFxjZ1cjIiKikCsiuaQTzkREpABSyBWR3LnxhLN6fZxdjYiICKCQKyK5deMJZ17+Ti1FREQklUKuiOScTjgTEZECSiFXRHIu9YSzkAYQ1sjZ1YiIiNgp5IpIzhjz11CFpn8Di8Wp5YiIiNxIIVdEcubkJjh/WCeciYhIgaSQKyI5Yz/hrLdOOBMRkQJHIVdEss/hhLO/ObcWERGRdCjkikj26YQzEREp4BRyRSR7bjzhrMlgnXAmIiIFkkKuiGTPjSec1X/I2dWIiIikSyFXRLJHJ5yJiEghoJArIlmnK5yJiEghoZArIlnncMJZY2dXIyIikiGFXBHJGp1wJiIihYhCrohkzanNOuFMREQKDYVcEcmaX+babnXCmYiIFAIKuSJyazrhTEREChmFXBG5NfsJZ/V1wpmIiBQKCrkikjmHE87+phPORESkUFDIFZHM2U8489EJZyIiUmg4NeROmTKFO++8Ez8/P8qWLcsDDzzAoUOHHNoYYxg/fjxhYWF4e3vTtm1b9u3b59AmISGBESNGULp0aXx9fenRowdnzpy5nS9FpOhKPeGsnk44ExGRwsOpIXf9+vU888wzbNmyhZUrV5KcnEynTp24evWqvc3UqVOZPn067777Ltu3byckJISOHTsSGxtrbzNq1CiWLFnCokWL2LBhA1euXKF79+6kpKQ442WJFB03nnDW9G/OrUVERCQb3Jz55MuXL3e4P3fuXMqWLcuOHTto3bo1xhhmzpzJq6++Sq9evQD4+OOPCQ4OZsGCBQwdOpTo6Gg+/PBDPv30Uzp06ADA/PnzCQ8PZ9WqVXTu3Pm2vy6RImPHXJ1wJiIihZJTQ+7NoqOjAQgMDATg+PHjREZG0qlTJ3sbT09P2rRpw6ZNmxg6dCg7duwgKSnJoU1YWBj16tVj06ZN6YbchIQEEhIS7PdjYmIASEpKIikpKV9em+S/1L5TH+aR+BjcNr6DBUhu9jQmOdnZFQHq5+JEfV08qJ+Lj9z2dXa3KzAh1xjD6NGjufvuu6lXrx4AkZGRAAQHBzu0DQ4O5uTJk/Y2Hh4elCpVKk2b1O1vNmXKFCZMmJBm/YoVK/Dx8cn1axHnWrlypbNLKBJqRiyhVvxlYj1DWXPKB04vc3ZJDtTPxYf6unhQPxcfOe3ra9euZat9gQm5w4cP57fffmPDhg1pHrPcNGWRMSbNuptl1ubll19m9OjR9vsxMTGEh4fTqVMn/P11Yk1hlZSUxMqVK+nYsSPu7u7OLqdwi7uE27+fAcC76xt0rdPdyQX9Rf1cfKiviwf1c/GR275O/eQ9qwpEyB0xYgRLly7lp59+onz58vb1ISEhgO1obWhoqH19VFSU/ehuSEgIiYmJXLp0yeFoblRUFC1btkz3+Tw9PfH09Eyz3t3dXT9gRYD6MQ+snwMJsRBcD7f6vcGl4M02qH4uPtTXxYP6ufjIaV9ndxun/uUyxjB8+HC++uor1qxZQ+XKlR0er1y5MiEhIQ6HtRMTE1m/fr09wDZp0gR3d3eHNhEREezduzfDkCsimbh6Hrb+x7bc9uUCGXBFRERuxalHcp955hkWLFjAN998g5+fn30MbUBAAN7e3lgsFkaNGsXkyZOpXr061atXZ/Lkyfj4+NC/f3972yFDhvD8888TFBREYGAgL7zwAvXr17fPtiAi2bBhBiRdhdA7oFY3Z1cjIiKSI04NuXPmzAGgbdu2Duvnzp3L4MGDAXjppZeIi4tj2LBhXLp0iebNm7NixQr8/Pzs7WfMmIGbmxt9+/YlLi6O9u3bM2/ePFxdXW/XSxEpGmIjYfsHtuV7/65L+IqISKHl1JBrjLllG4vFwvjx4xk/fnyGbby8vJg1axazZs3Kw+pEiqGfp0NyPJRvBtX0SYiIiBReGmwnIjaXT9su/gBw76s6iisiIoWaQq6I2Pz8NqQkQqV7oHIbZ1cjIiKSKwq5IgIXj8Ov823L7XQUV0RECj+FXBGBn6aBNRmq3gsVWzi7GhERkVxTyBUp7s4fhd0Lbcvt/u7cWkRERPKIQq5IcbduChgr1OgC5Zs4uxoREZE8oZArUpyd3Q97v7Qtt3vFubWIiIjkIYVckeJs3RTAQO0eENrQ2dWIiIjkGYVckeIq4jc4sBSw6CiuiIgUOQq5IsXV2sm223q9oWxt59YiIiKSxxRyRYqjMzvg8A9gcYG2Lzu7GhERkTynkCtSHK1903bb8BEoXc25tYiIiOQDhVyR4ubkZji2BlzcoM1Lzq5GREQkXyjkihQ3ayfZbhs9CqUqObUUERGR/KKQK1Kc/L4eTvwMrh7Q+kVnVyMiIpJvFHJFioukOPjh+vCEJn+DgPLOrUdERCQfKeSKFBerJsC5g1AiGNqMcXY1IiIi+UohV6Q4OLYGts6xLff8N/gGObceERGRfKaQK1LUXbsIXw+zLd/5f1C9o3PrERERuQ0UckWKMmPg+9EQGwFB1aHjG86uSERE5LZQyBUpyn5bDPuW2ObE7fU+ePg4uyIREZHbQiFXpKi6fAqWvWBbbjMWyjV2bj0iIiK3kUKuSFFkTYElT0NCDJRvBnc/5+yKREREbiuFXJGiaPO7cHIDeJSAXv8BVzdnVyQiInJbKeSKFDWRe2D19RPMukyBwCrOrUdERMQJFHJFipKkePjyCbAmQa3u0OgxZ1ckIiLiFAq5IkXJ6olw7gD4loX7/wUWi7MrEhERcQqFXJGi4vd1sOXftuWe74JvaaeWIyIi4kwKuSJFQdwl22wKAE0fhxqdnVuPiIiIkynkihQF3z8PsX9CYFXo9KazqxEREXE6hVyRwu63/8HeL8HiCr3+Cx6+zq5IRETE6RRyRQqzy6dtR3EB2oyB8k2cW4+IiEgBoZArUlglXoMv/w8SoqH8nXDP886uSEREpMBQyBUpjBKvwYK+cHoLePjBg7qqmYiIyI0UckUKm9SAe+JnW8B97CsIqursqkRERAoUhVyRwiS9gBvezNlViYiIFDgKuSKFReI1WNjvr4D76JcKuCIiIhlQyBUpDFID7vGfwKOELeBWaO7sqkRERAoshVyRgi5NwP1KAVdEROQWFHJFCrLEa7DwYQVcERGRbFLIFSmo7AF3vYYoiIiIZJNCrkhBlG7AvcvZVYmIiBQaCrkiBU3iNVj0yF8Bd8AXCrgiIiLZpJArUpCkBtzf1/0VcCu2cHZVIiIihY5CrkhBcfW8bRaF39eBu68CroiISC7oYvciBcGB7+C7UXD1nC3gPvqlAq6IiEguKOSKOFPcZfhhDPy2yHa/TG3o9R8IbejUskRERAo7hVwRZzm6Cr4ZAbF/gsUFWo6Edq+Am6ezKxMRESn0FHJFbreEWFjxGuyYa7sfWBUefA/Cmzm3LhERkSJEIVckn6RYDduOXyQqNp6yfl40qxyI66mN8PUwuHzS1qj5U9B+HHj4OLdYERGRIkYhVyQfLN8bwYRv9xMRHQ+AJ4mM9/2Sh1O+w4KBgArwwL+hcmsnVyoiIlI0KeSK5LHleyN4ev5OzPX7DS1Hme4+h6opEQCcrvwQ4f2mg5e/84oUEREp4hRyRfJQitUw4dv9GMCHeIa5fcPTrktxtRjOmpKMSXqSQ3/exQYPP1ydXayIiEgRppArkoe2Hb9ISnQEL7n9yADXVQRYrgGwJKUV45MGEU0JiI5n2/GLtKga5ORqRUREii6FXJEsSPckMheLY6PIvZRbN40Nnt/iYUkB4HdrCG8lP8yPVseZE6Ji429X6SIiIsWSQq7ILdx8EhlAaIAX4+6vQ5e6IXBsDWyaBb+vpQKABbZZa/JBcldWWZtgTefq2WX9vG7fCxARESmGFHJFMnHzSWSpLkbHsmrhDFqVXotf9GHbSosL1to9eOLIXayJrZBmGwALEBJgOxIsIiIi+UchVyQDN55EliqAKwxwXc0gtx8JtlyGaDDuvlgaD4S7nsKlVCUe2hvBmvk7sYDDtqmDG8bdXyftUAcRERHJUwq5UixlZYzttuMXiYiOpySxtHHZzb2uu+jgsgNfSwIAkaYU85I7c2/fMTSrU8W+XZd6ocx5tHGaIQ4hqUMc6oXenhcpIiJSjCnkSrGT6RjbeqFgDETtJ2DHYv7nsYzGliO4Wv46JnvAWoH3k7vxnbUFSbhRO9EzzXN0qRdKxzohtz5ZTURERPKFQq4UCSlWw9bjF9lx3kLQ8Yu0qFY23UCZ0RjbS9ExLF7wIXVqnaHC+Z8h5gx1gNRzxg5Yw1lrbcSqlMbsNNX5a/BBxieRubpYNE2YiIiIkyjkSqHneGTWlU+O/OJ4ZPa6G8fYWrBS2RJJS5d9tHPZRSuXvXhZkuD3643dvDCV2zDteEW+uVKPPyid5nl1EpmIiEjBpZAr+S5Lc8zmcJuMjsxGRsfz9PydzHm0MV1qBULUfk78tpmnr66hrscJallO2cfWpvrDBLE25Q6adHyE2i26YfHwocHeCOboJDIREZFCRyFXsi07ofWW419zsU16sx/4cY06lpPUdTlBXZcTVPvyFMbyBxZrMlWBqjd8x8cZD/aYyqxLuYPV1kYcMuGAhX8F3EFtDx9AJ5GJiIgUVgq5t1l2j2rm51HQnLTPTmjN0lHWbG7z3iP16Fw+GS6f4sSRAzx8dRvl3c9R3nKecpbzlLecd9zQXP/yLsXlgNosPlOKfdaK7DOVOG5CScE1zWu8eYytTiITEREpfIpMyJ09ezbTpk0jIiKCunXrMnPmTO655x5nl+Ugu0c18/MoaE7aZye0pneUNZVtTCxM+HY/HeuE2MJiShIpVy/yyTfLaWa5QClLLKUt0YRZLlDeco5y10Ns2SWXSR04UBV4Np3v4DOmNAesFdlnKrLPWomHunelU4um+BmY+9YaIqPjs32hBp1EJiIiUrgUiZD7+eefM2rUKGbPnk2rVq34z3/+w3333cf+/fupUKGCs8sDsn9UMz+OgubmOW4VWl2wMm3pDjqGN8Y16Sr7fj9Dpdgd1HWJx5c4SljiKUEcpSyxBBJLKUssQXExJM5IwjvpMsRH4wosAEg7I5eDFFcvXEtV4JJHKMtOufGHKc0ZU4YzpjS/m1Au4+fQ/vHgKmCx4GqxjaF9WmNsRUREirwiEXKnT5/OkCFD+L//+z8AZs6cyY8//sicOXOYMmWKk6vL/lHNv9obXDC4YMUVq/3WFSv/WrqZjhVa4ooVrMmkpKTw0TcbqGKJwxUrbqTYv9xJwd2SzIqv99HRtQ6u1mSsKUlsX7qbvq7xuJOMGyl4kIQnSXhZEvEkiatffYz1aGlckhO4HB3DlGtn8XRPwvP6494kUMJiC7G+lgRIBGbYXlcDYKFHFt6c2BvfCwuXjC+XjB8X8eOS8eNPE2QPsX+Y0vxhSvN6v9b0bFQef6vh3WwemdUYWxERkeKh0IfcxMREduzYwdixYx3Wd+rUiU2bNqW7TUJCAgkJf51ZHxMTA0BSUhJJSUl5XuPW61fOSrXJczg+JOCCwXI9xLrEGyxvYgu2xspGqxUXr/Si23WJwPS/7roCiyHzo6DJwOe2RRfgNQD3TNpbgV22xSCgbdrhq2kYXMCzBImuPpy64spVvLhqvLiKF7F42wKs8eMi/lwyfjzTtSm1q1YG70C2RhoenffrLZ8jyNfd3k+v3leTEYt2Z3hk9tX7amJNScaa8tdj7WuWpm31e/jl5CWiYhMo6+dJ04qlcHWx5Ev/S95K7SP1VdGnvi4e1M/FR277OrvbFfqQe/78eVJSUggODnZYHxwcTGRkZLrbTJkyhQkTJqRZv2LFCnx8fPK8xh3nLXDDCU4luYrPTdNXAbZQeZ0li5+YW3HFWFxIwUK81Xa8N8UWm0nEjWTjSjKutmVcKenlire7GzHJrpy+5mZfn4wrCXiQYNxJ4K+vukFuhJRwIyLBkx//9HR4LM542kIsXlw13lzBi/+r7Ur1kmA1MGGnK5cT4cYLJ/zFUNIDupxP4fiFo7bXYqCkx623Obd/C8sO/LX2bzUsfHXChcuJf20T4GHoVclKyskdLDuZ8fvnClwAfjyQcRspmFauXOnsEuQ2UV8XD+rn4iOnfX3t2rVstS/0ITeV5aZUaIxJsy7Vyy+/zOjRo+33Y2JiCA8Pp1OnTvj7++d5bUHHL/LJkV/s9+9PfBPg+gAEC9brx3Nn9G3IHRUC+fV0NM8s2oMVy/XAagEsJONKyvUQm4ILnz7ejObXP4rfdvwij370S3pP72D+o01pXjmQg8cvMigr7bs1pVblQKpbDa//8yfOxiRkMjTAk+EPt7aPaXWvdJYRi3YD6R1ltfBmr4Z0ruv4z0lOtukKvGQ1bDl2jjWbd3BviybcVbWMxtYWUUlJSaxcuZKOHTvi7p7ZRxFS2Kmviwf1c/GR275O/eQ9qwp9yC1dujSurq5pjtpGRUWlObqbytPTE0/PtJ/ru7u758sPWItqZQkN8LKPHT1myjk8njp2tHHDO3B1sdCklMHth3O3HGt646Vrb36OW22T3fbuwPgedW9x0lZdvDz/Gojb/Y7yuLm5Zmv8a062Aduoi1bVyxJ9xNCqeln9oiwG8uvnVQoe9XXxoH4uPnLa19ndptCHXA8PD5o0acLKlSt58MEH7etXrlxJz549nVjZX1xdLNk6qz+77W/Xc+TkpK2czDGreWlFREQktwp9yAUYPXo0jz32GE2bNqVFixa8//77nDp1iqeeesrZpdllNyDmNFDejufIbgDNyRyzmpdWREREcqNIhNx+/fpx4cIFJk6cSEREBPXq1WPZsmVUrFjR2aU5yG5AvB1HQW9XaBURERG5nYpEyAUYNmwYw4YNc3YZt5TdgHg7joIqtIqIiEhR4+LsAkRERERE8ppCroiIiIgUOQq5IiIiIlLkKOSKiIiISJGjkCsiIiIiRY5CroiIiIgUOQq5IiIiIlLkKOSKiIiISJGjkCsiIiIiRY5CroiIiIgUOUXmsr65YYwBICYmxsmVSG4kJSVx7do1YmJicHd3d3Y5kk/Uz8WH+rp4UD8XH7nt69SclprbbkUhF4iNjQUgPDzcyZWIiIiISGZiY2MJCAi4ZTuLyWocLsKsVit//vknfn5+WCwWZ5cjORQTE0N4eDinT5/G39/f2eVIPlE/Fx/q6+JB/Vx85LavjTHExsYSFhaGi8utR9zqSC7g4uJC+fLlnV2G5BF/f3/9oiwG1M/Fh/q6eFA/Fx+56eusHMFNpRPPRERERKTIUcgVERERkSJHIVeKDE9PT8aNG4enp6ezS5F8pH4uPtTXxYP6ufi43X2tE89EREREpMjRkVwRERERKXIUckVERESkyFHIFREREZEiRyFXRERERIochVwpMKZMmcKdd96Jn58fZcuW5YEHHuDQoUMObYwxjB8/nrCwMLy9vWnbti379u2zP37x4kVGjBhBzZo18fHxoUKFCowcOZLo6GiH/Vy6dInHHnuMgIAAAgICeOyxx7h8+fLteJlC3vQ1wNChQ6latSre3t6UKVOGnj17cvDgQYc26mvnyat+vrHtfffdh8Vi4euvv3Z4TP3sXHnV123btsVisTh8Pfzwww5t1NfOk5c/05s3b+bee+/F19eXkiVL0rZtW+Li4uyP50k/G5EConPnzmbu3Llm7969ZteuXaZbt26mQoUK5sqVK/Y2//jHP4yfn5/58ssvzZ49e0y/fv1MaGioiYmJMcYYs2fPHtOrVy+zdOlSc/ToUbN69WpTvXp107t3b4fn6tKli6lXr57ZtGmT2bRpk6lXr57p3r37bX29xVle9LUxxvznP/8x69evN8ePHzc7duww999/vwkPDzfJycn2Nupr58mrfk41ffp0c9999xnALFmyxOEx9bNz5VVft2nTxjzxxBMmIiLC/nX58mWH51JfO09e9fOmTZuMv7+/mTJlitm7d685fPiw+d///mfi4+PtbfKinxVypcCKiooygFm/fr0xxhir1WpCQkLMP/7xD3ub+Ph4ExAQYN57770M97N48WLj4eFhkpKSjDHG7N+/3wBmy5Yt9jabN282gDl48GA+vRrJTF719e7duw1gjh49aoxRXxc0uennXbt2mfLly5uIiIg0IVf9XPDktK/btGljnn322Qz3q74uWHLaz82bNzd///vfM9xvXvWzhitIgZU6xCAwMBCA48ePExkZSadOnextPD09adOmDZs2bcp0P/7+/ri5uQG2j0gCAgJo3ry5vc1dd91FQEBApvuR/JMXfX316lXmzp1L5cqVCQ8PB9TXBU1O+/natWs88sgjvPvuu4SEhKTZr/q54MnNz/Rnn31G6dKlqVu3Li+88AKxsbH2x9TXBUtO+jkqKoqtW7dStmxZWrZsSXBwMG3atGHDhg32bfKqnxVypUAyxjB69Gjuvvtu6tWrB0BkZCQAwcHBDm2Dg4Ptj93swoULvPHGGwwdOtS+LjIykrJly6ZpW7Zs2Qz3I/knt309e/ZsSpQoQYkSJVi+fDkrV67Ew8PDvh/1dcGQm35+7rnnaNmyJT179kx33+rngiU3fT1gwAAWLlzIunXreO211/jyyy/p1auX/XH1dcGR037+/fffARg/fjxPPPEEy5cvp3HjxrRv354jR47Y95MX/eyW/Zclkv+GDx/Ob7/95vCfXSqLxeJw3xiTZh1ATEwM3bp1o06dOowbNy7TfWS2H8lfue3rAQMG0LFjRyIiInj77bfp27cvGzduxMvLK919ZLQfyV857eelS5eyZs0afv3110z3r34uOHLzM/3EE0/Yl+vVq0f16tVp2rQpO3fupHHjxunuI739SP7LaT9brVbAduLw3/72NwAaNWrE6tWr+eijj5gyZUq6+7h5P1mhI7lS4IwYMYKlS5eydu1aypcvb1+f+jHlzf/FRUVFpfmvMTY2li5dulCiRAmWLFmCu7u7w37Onj2b5nnPnTuXZj+Sv/KirwMCAqhevTqtW7fmiy++4ODBgyxZssS+H/W18+Wmn9esWcOxY8coWbIkbm5u9mFHvXv3pm3btvb9qJ8Lhrz4mb5R48aNcXd3tx/hU18XDLnp59DQUADq1Knj0KZ27dqcOnXKvp+86GeFXCkwjDEMHz6cr776ijVr1lC5cmWHxytXrkxISAgrV660r0tMTGT9+vW0bNnSvi4mJoZOnTrh4eHB0qVL7Uf0UrVo0YLo6Gi2bdtmX7d161aio6Md9iP5J6/6OqN9JyQkAOprZ8uLfh47diy//fYbu3btsn8BzJgxg7lz5wLq54Igv36m9+3bR1JSkj0Yqa+dKy/6uVKlSoSFhaWZeuzw4cNUrFgRyMN+zvIpaiL57OmnnzYBAQFm3bp1DtPHXLt2zd7mH//4hwkICDBfffWV2bNnj3nkkUccpiaJiYkxzZs3N/Xr1zdHjx512M/N00o1aNDAbN682WzevNnUr19fU9DcRnnR18eOHTOTJ082v/zyizl58qTZtGmT6dmzpwkMDDRnz56170d97Tx50c/pIYMpxNTPzpMXfX306FEzYcIEs337dnP8+HHz/fffm1q1aplGjRrp93cBkVc/0zNmzDD+/v7mf//7nzly5Ij5+9//bry8vOwz4xiTN/2skCsFBpDu19y5c+1trFarGTdunAkJCTGenp6mdevWZs+ePfbH165dm+F+jh8/bm934cIFM2DAAOPn52f8/PzMgAEDzKVLl27fiy3m8qKv//jjD3PfffeZsmXLGnd3d1O+fHnTv3//NNPLqK+dJy/6OaP93hxy1c/OlRd9ferUKdO6dWsTGBhoPDw8TNWqVc3IkSPNhQsXHJ5Lfe08efkzPWXKFFO+fHnj4+NjWrRoYX7++WeHx/Oiny3XixYRERERKTI0JldEREREihyFXBEREREpchRyRURERKTIUcgVERERkSJHIVdEREREihyFXBEREREpchRyRURERKTIUcgVERERkSJHIVdEREREihyFXBGRAswYQ4cOHejcuXOax2bPnk1AQACnTp1yQmUiIgWbQq6ISAFmsViYO3cuW7du5T//+Y99/fHjxxkzZgz/+te/qFChQp4+Z1JSUp7uT0TEGRRyRUQKuPDwcP71r3/xwgsvcPz4cYwxDBkyhPbt29OsWTO6du1KiRIlCA4O5rHHHuP8+fP2bZcvX87dd99NyZIlCQoKonv37hw7dsz++IkTJ7BYLCxevJi2bdvi5eXF/PnznfEyRUTylMUYY5xdhIiI3NoDDzzA5cuX6d27N2+88Qbbt2+nadOmPPHEEwwcOJC4uDjGjBlDcnIya9asAeDLL7/EYrFQv359rl69yuuvv86JEyfYtWsXLi4unDhxgsqVK1OpUiX++c9/0qhRIzw9PQkLC3PyqxURyR2FXBGRQiIqKop69epx4cIFvvjiC3799Ve2bt3Kjz/+aG9z5swZwsPDOXToEDVq1Eizj3PnzlG2bFn27NlDvXr17CF35syZPPvss7fz5YiI5CsNVxARKSTKli3Lk08+Se3atXnwwQfZsWMHa9eupUSJEvavWrVqAdiHJBw7doz+/ftTpUoV/P39qVy5MkCak9WaNm16e1+MiEg+c3N2ASIiknVubm64udl+dVutVu6//37eeuutNO1CQ0MBuP/++wkPD+e///0vYWFhWK1W6tWrR2JiokN7X1/f/C9eROQ2UsgVESmkGjduzJdffkmlSpXswfdGFy5c4MCBA/znP//hnnvuAWDDhg23u0wREafQcAURkULqmWee4eLFizzyyCNs27aN33//nRUrVvD444+TkpJCqVKlCAoK4v333+fo0aOsWbOG0aNHO7tsEZHbQiFXRKSQCgsLY+PGjaSkpNC5c2fq1avHs88+S0BAAC4uLri4uLBo0SJ27NhBvXr1eO6555g2bZqzyxYRuS00u4KIiIiIFDk6kisiIiIiRY5CroiIiIgUOQq5IiIiIlLkKOSKiIiISJGjkCsiIiIiRY5CroiIiIgUOQq5IiIiIlLkKOSKiIiISJGjkCsiIiIiRY5CroiIiIgUOQq5IiIiIlLk/D/0cjjBweJ9ywAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "years_extended = np.arange(2013, 2060)\n",
    "\n",
    "# Fit the logistic curve to EV_stock data\n",
    "x_data = np.array(years)\n",
    "y_data = np.array(S)\n",
    "\n",
    "# Logistic (sigmoid) function definition\n",
    "def logistic(x, L, k, x0):\n",
    "    return L / (1 + np.exp(-k * (x - x0)))\n",
    "\n",
    "# Fit the logistic curve to EV_stock data\n",
    "log_popt, _ = curve_fit(logistic, x_data, y_data, p0=[max(y_data), 0.3, 2018], maxfev=10000)\n",
    "\n",
    "# Extrapolate to 2040\n",
    "S_projection = logistic(years_extended, *log_popt)\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(x_data, y_data, 'o', label='Observed Stock')\n",
    "plt.plot(years_extended, S_projection, '-', label='Logistic Fit & Projection')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('EV Stock [mio]')\n",
    "plt.title('EV Stock Logistic Fit and Projection to 2060')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8803b121",
   "metadata": {},
   "source": [
    "Now, we have all the required elements to compute a stock-driven model for the years 2024-2060. \n",
    "\n",
    "**Question**: What are the required elements?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "87c92bb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# stock-driven model\n",
    "\n",
    "future_years = np.arange(2024, 2060)\n",
    "\n",
    "for year in future_years:\n",
    "\n",
    "    # compute outflow\n",
    "    O_current_year = compute_total_outflow(I, years, year, avg_lifetime)\n",
    "\n",
    "    # virtual stock: previous stock minus current outflow\n",
    "    S_virtual = S_projection[year - years[0] - 1] - O_current_year\n",
    "\n",
    "    # compute inflow needed to reach projected stock\n",
    "    I_needed = S_projection[year - years[0]] - S_virtual\n",
    "\n",
    "    # maintain the inflow and outflow series\n",
    "    O.append(O_current_year)\n",
    "    I.append(I_needed)\n",
    "    years.append(year)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "762cb816",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot results\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(years_extended, S_projection, label='EV Stock Projection', marker='o')\n",
    "plt.plot(years_extended, I, label='EV Inflow', marker='^')\n",
    "plt.plot(years_extended, O, label='EV Outflow', marker='s')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Count [mio]')\n",
    "plt.title('EV Stock Projection, Inflow, and Outflow')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17c15c8d",
   "metadata": {},
   "source": [
    "**Results and Discussion:**\n",
    "\n",
    "- **When does the outflow become significant? Why?**  \n",
    "\n",
    "- **Where does the oscillation pattern in inflow and outflow come from?**  \n",
    "\n",
    "- **Why does the inflow almost correspond to the outflow from 2040 to 2060?**  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e0613fb",
   "metadata": {},
   "source": [
    "**Comment**: In this exercise, we used inflow-driven modelling to reconstruct historical EV stock and stock-driven modelling to estimate the required future inflow to achieve a projected stock. However, this approach is not universal. If historical stock data were available, stock-driven modelling could be applied to infer historical inflow. Likewise, if future inflow were known, inflow-driven modelling could be used to project future stock evolution."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
