{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiobjective Parameter Estimation - An Overview\n",
    "\n",
    "Example created by Gabriel Bueno Leandro, Samir Milani Martins and Wilson Rocha Lacerda Junior\n",
    "\n",
    "> **Looking for more details on NARMAX models?**\n",
    "> For comprehensive information on models, methods, and a wide range of examples and benchmarks implemented in SysIdentPy, check out our book:\n",
    "> [*Nonlinear System Identification and Forecasting: Theory and Practice With SysIdentPy*](https://sysidentpy.org/book/0%20-%20Preface/)\n",
    ">\n",
    "> This book provides in-depth guidance to support your work with SysIdentPy.\n",
    "\n",
    "Multiobjective parameter estimation represents a fundamental paradigm shift in the way we approach the parameter tuning problem for NARMAX models. Instead of seeking a single set of parameter values that optimally fits the model to the data, multiobjective approaches aim to identify a set of parameter solutions, known as the Pareto front, that provide a trade-off between competing objectives. These objectives often encompass a spectrum of model performance criteria, such as goodness-of-fit, model complexity, and robustness."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference \n",
    "\n",
    "**For further information, check this reference: https://doi.org/10.1080/00207170601185053**.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use case: Buck converter\n",
    "\n",
    "<div style=\"text-align: justify\"> A buck converter is a type of DC/DC converter that decreases the voltage (while increasing the current) from its input (power supply) to its output (load). It is similar to a boost converter (elevator) and is a type of switched-mode power supply (SMPS) that typically contains at least two semiconductors (a diode and a transistor, although modern buck converters replace the diode with a second transistor used for synchronous rectification) and at least one energy storage element, a capacitor, inductor or both combined. </div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:23.655307700Z",
     "start_time": "2023-07-11T17:36:22.803948400Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from sysidentpy.model_structure_selection import FROLS\n",
    "from sysidentpy.multiobjective_parameter_estimation import AILS\n",
    "from sysidentpy.basis_function import Polynomial\n",
    "from sysidentpy.parameter_estimation import LeastSquares\n",
    "from sysidentpy.utils.display_results import results\n",
    "from sysidentpy.utils.plotting import plot_results\n",
    "from sysidentpy.metrics import root_relative_squared_error\n",
    "from sysidentpy.utils.narmax_tools import set_weights"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dynamic Behavior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:23.786668800Z",
     "start_time": "2023-07-11T17:36:23.657311200Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_train = pd.read_csv(\n",
    "    r\"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/buck/buck_id.csv\"\n",
    ")\n",
    "df_valid = pd.read_csv(\n",
    "    r\"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/buck/buck_valid.csv\"\n",
    ")\n",
    "\n",
    "# Plotting the measured output (identification and validation data)\n",
    "plt.figure(1)\n",
    "plt.title(\"Output\")\n",
    "plt.plot(df_train.sampling_time, df_train.y, label=\"Identification\", linewidth=1.5)\n",
    "plt.plot(df_valid.sampling_time, df_valid.y, label=\"Validation\", linewidth=1.5)\n",
    "plt.xlabel(\"Samples\")\n",
    "plt.ylabel(\"Voltage\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:23.899524600Z",
     "start_time": "2023-07-11T17:36:23.787667800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the measured input (identification and validation data)\n",
    "plt.figure(2)\n",
    "plt.title(\"Input\")\n",
    "plt.plot(df_train.sampling_time, df_train.input, label=\"Identification\", linewidth=1.5)\n",
    "plt.plot(df_valid.sampling_time, df_valid.input, label=\"Validation\", linewidth=1.5)\n",
    "plt.ylim(2.1, 2.6)\n",
    "plt.ylabel(\"u\")\n",
    "plt.xlabel(\"Samples\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Buck Converter Static Function\n",
    "\n",
    "The duty cycle, represented by the symbol $D$, is defined as the ratio of the time the system is on ($T_{on}$​) to the total operation cycle time ($T$). Mathematically, this can be expressed as $D=\\frac{T_{on}}{T}$. The complement of the duty cycle, represented by $D'$, is defined as the ratio of the time the system is off ($T_{off}$) to the total operation cycle time ($T$) and can be expressed as $D'=\\frac{T_{off}}{T}$.\n",
    "\n",
    "The load voltage ($V_o$) is related to the source voltage ($V_d$) by the equation $V_o​=D⋅V_d​=(1−D’)⋅V_d$.  For this particular converter, it is known that $D′=\\frac{\\bar{u}-1}{3}​$,​ which means that the static function of this system can be derived from theory to be:\n",
    "\n",
    "$V_o = \\frac{4V_d}{3} - \\frac{V_d}{3}\\cdot \\bar{u}$\n",
    "\n",
    "If we assume that the source voltage $V_d$​ is equal to 24 V, then we can rewrite the above expression as follows:\n",
    "\n",
    "$V_o = (4 - \\bar{u})\\cdot 8$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.099777400Z",
     "start_time": "2023-07-11T17:36:23.919547400Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Static data\n",
    "Vd = 24\n",
    "Uo = np.linspace(0, 4, 50)\n",
    "Yo = (4 - Uo) * Vd / 3\n",
    "Uo = Uo.reshape(-1, 1)\n",
    "Yo = Yo.reshape(-1, 1)\n",
    "plt.figure(3)\n",
    "plt.title(\"Buck Converter Static Curve\")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{y}$\")\n",
    "plt.plot(Uo, Yo, linewidth=1.5, linestyle=\"-\", marker=\"o\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Buck converter Static Gain\n",
    "\n",
    "The gain of a Buck converter is a measure of how its output voltage changes in response to changes in its input voltage. Mathematically, the gain can be calculated as the derivative of the converter’s static function, which describes the relationship between its input and output voltages.\n",
    "In this case, the static function of the Buck converter is given by the equation:\n",
    "\n",
    "$V_o = (4 - \\bar{u})\\cdot 8$\n",
    "\n",
    "Taking the derivative of this equation with respect to $\\hat{u}$, we find that the gain of the Buck converter is equal to −8. In other words, for every unit increase in the input voltage $\\hat{u}$, the output voltage Vo​ will decrease by 8 units.\n",
    "\n",
    "so $gain=V_o'=-8$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.264197200Z",
     "start_time": "2023-07-11T17:36:24.101783Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Defining the gain\n",
    "gain = -8 * np.ones(len(Uo)).reshape(-1, 1)\n",
    "plt.figure(3)\n",
    "plt.title(\"Buck Converter Static Gain\")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{gain}$\")\n",
    "plt.plot(Uo, gain, linewidth=1.5, label=\"gain\", linestyle=\"-\", marker=\"o\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building a dynamic model using the mono-objective approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.328953300Z",
     "start_time": "2023-07-11T17:36:24.264197200Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<sysidentpy.model_structure_selection.forward_regression_orthogonal_least_squares.FROLS at 0x1ee748da650>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_train = df_train.input.values.reshape(-1, 1)\n",
    "y_train = df_train.y.values.reshape(-1, 1)\n",
    "x_valid = df_valid.input.values.reshape(-1, 1)\n",
    "y_valid = df_valid.y.values.reshape(-1, 1)\n",
    "\n",
    "basis_function = Polynomial(degree=2)\n",
    "estimator = LeastSquares()\n",
    "model = FROLS(\n",
    "    order_selection=True,\n",
    "    n_info_values=8,\n",
    "    ylag=2,\n",
    "    xlag=2,\n",
    "    info_criteria=\"aic\",\n",
    "    estimator=estimator,\n",
    "    basis_function=basis_function,\n",
    ")\n",
    "\n",
    "model.fit(X=x_train, y=y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Affine Information Least Squares Algorithm (AILS)\n",
    "\n",
    "AILS is a multiobjective parameter estimation algorithm, based on a set of affine information pairs. The multiobjective approach proposed in the mentioned paper and implemented in SysIdentPy leads to a convex multiobjective optimization problem, which can be solved by AILS. AILS is a LeastSquares-type non-iterative scheme for finding the Pareto-set solutions for the multiobjective problem.\n",
    "\n",
    "So, with the model structure defined (we will be using the one built using the dynamic data above), one can estimate the parameters using the multiobjective approach.\n",
    "\n",
    "The information about static function and static gain, besides the usual dynamic input/output data, can be used to build the pair of affine information to estimate the parameters of the model. We can model the cost function as:\n",
    "\n",
    "$\n",
    "\\gamma(\\hat\\theta) = w_1\\cdot J_{LS}(\\hat{\\theta})+w_2\\cdot J_{SF}(\\hat{\\theta})+w_3\\cdot J_{SG}(\\hat{\\theta})\n",
    "$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiobjective parameter estimation considering 3 different objectives: the prediction error, the static function and the static gain "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.328953300Z",
     "start_time": "2023-07-11T17:36:24.297851300Z"
    }
   },
   "outputs": [],
   "source": [
    "# you can use any set of model structure you want in your use case, but in this notebook we will use the one obtained above the compare with other work\n",
    "mo_estimator = AILS(final_model=model.final_model)\n",
    "\n",
    "# setting the log-spaced weights of each objective function\n",
    "w = set_weights(static_function=True, static_gain=True)\n",
    "\n",
    "# you can also use something like\n",
    "\n",
    "# w = np.array(\n",
    "#     [\n",
    "#         [0.98, 0.7, 0.5, 0.35, 0.25, 0.01, 0.15, 0.01],\n",
    "#         [0.01, 0.1, 0.3, 0.15, 0.25, 0.98, 0.35, 0.01],\n",
    "#         [0.01, 0.2, 0.2, 0.50, 0.50, 0.01, 0.50, 0.98],\n",
    "#     ]\n",
    "# )\n",
    "\n",
    "# to set the weights. Each row correspond to each objective"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AILS has an `estimate` method that returns the cost functions (J), the Euclidean norm of the cost functions (E), the estimated parameters referring to each weight (theta), the regressor matrix of the gain and static_function affine information HR and QR, respectively.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.435488200Z",
     "start_time": "2023-07-11T17:36:24.301867Z"
    }
   },
   "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>w1</th>\n",
       "      <th>w2</th>\n",
       "      <th>w3</th>\n",
       "      <th>J_ls</th>\n",
       "      <th>J_sg</th>\n",
       "      <th>J_sf</th>\n",
       "      <th>||J||:</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.003078</td>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.999970</td>\n",
       "      <td>1.095020e-05</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>0.245244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.007573</td>\n",
       "      <td>0.002347</td>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.999938</td>\n",
       "      <td>2.294665e-05</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>0.245236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.008382</td>\n",
       "      <td>0.001538</td>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.999885</td>\n",
       "      <td>6.504913e-05</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>0.245223</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.009277</td>\n",
       "      <td>0.000642</td>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.999717</td>\n",
       "      <td>4.505541e-04</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.245182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.098663</td>\n",
       "      <td>0.894495</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.393246e-08</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.245251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2290</th>\n",
       "      <td>0.659632</td>\n",
       "      <td>0.333527</td>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.995896</td>\n",
       "      <td>3.965699e-04</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.244489</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2291</th>\n",
       "      <td>0.730119</td>\n",
       "      <td>0.263039</td>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.995632</td>\n",
       "      <td>5.602981e-04</td>\n",
       "      <td>0.972842</td>\n",
       "      <td>0.244412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2292</th>\n",
       "      <td>0.808139</td>\n",
       "      <td>0.185020</td>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.995364</td>\n",
       "      <td>8.321071e-04</td>\n",
       "      <td>0.868299</td>\n",
       "      <td>0.244300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2293</th>\n",
       "      <td>0.894495</td>\n",
       "      <td>0.098663</td>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.995100</td>\n",
       "      <td>1.364999e-03</td>\n",
       "      <td>0.660486</td>\n",
       "      <td>0.244160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2294</th>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.003078</td>\n",
       "      <td>0.006842</td>\n",
       "      <td>0.992584</td>\n",
       "      <td>9.825987e-02</td>\n",
       "      <td>0.305492</td>\n",
       "      <td>0.261455</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2295 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            w1        w2        w3      J_ls          J_sg      J_sf    ||J||:\n",
       "0     0.006842  0.003078  0.990080  0.999970  1.095020e-05  0.000013  0.245244\n",
       "1     0.007573  0.002347  0.990080  0.999938  2.294665e-05  0.000016  0.245236\n",
       "2     0.008382  0.001538  0.990080  0.999885  6.504913e-05  0.000018  0.245223\n",
       "3     0.009277  0.000642  0.990080  0.999717  4.505541e-04  0.000021  0.245182\n",
       "4     0.006842  0.098663  0.894495  1.000000  7.393246e-08  0.000015  0.245251\n",
       "...        ...       ...       ...       ...           ...       ...       ...\n",
       "2290  0.659632  0.333527  0.006842  0.995896  3.965699e-04  1.000000  0.244489\n",
       "2291  0.730119  0.263039  0.006842  0.995632  5.602981e-04  0.972842  0.244412\n",
       "2292  0.808139  0.185020  0.006842  0.995364  8.321071e-04  0.868299  0.244300\n",
       "2293  0.894495  0.098663  0.006842  0.995100  1.364999e-03  0.660486  0.244160\n",
       "2294  0.990080  0.003078  0.006842  0.992584  9.825987e-02  0.305492  0.261455\n",
       "\n",
       "[2295 rows x 7 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "J, E, theta, HR, QR, position = mo_estimator.estimate(\n",
    "    X=x_train, y=y_train, gain=gain, y_static=Yo, X_static=Uo, weighing_matrix=w\n",
    ")\n",
    "result = {\n",
    "    \"w1\": w[0, :],\n",
    "    \"w2\": w[2, :],\n",
    "    \"w3\": w[1, :],\n",
    "    \"J_ls\": J[0, :],\n",
    "    \"J_sg\": J[1, :],\n",
    "    \"J_sf\": J[2, :],\n",
    "    \"||J||:\": E,\n",
    "}\n",
    "pd.DataFrame(result)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can set theta related to any weight results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.522223600Z",
     "start_time": "2023-07-11T17:36:24.435488200Z"
    }
   },
   "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>Regressors</th>\n",
       "      <th>Parameters</th>\n",
       "      <th>ERR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2.2930E+00</td>\n",
       "      <td>9.999E-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>y(k-1)</td>\n",
       "      <td>2.3307E-01</td>\n",
       "      <td>2.042E-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>y(k-2)</td>\n",
       "      <td>6.3209E-01</td>\n",
       "      <td>1.108E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>x1(k-1)</td>\n",
       "      <td>-5.9333E-01</td>\n",
       "      <td>4.688E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>y(k-1)^2</td>\n",
       "      <td>2.7673E-01</td>\n",
       "      <td>3.922E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>y(k-2)y(k-1)</td>\n",
       "      <td>-5.3228E-01</td>\n",
       "      <td>8.389E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>x1(k-1)y(k-1)</td>\n",
       "      <td>1.6667E-02</td>\n",
       "      <td>5.690E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>y(k-2)^2</td>\n",
       "      <td>2.5766E-01</td>\n",
       "      <td>3.827E-06</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Regressors   Parameters        ERR\n",
       "0              1   2.2930E+00  9.999E-01\n",
       "1         y(k-1)   2.3307E-01  2.042E-05\n",
       "2         y(k-2)   6.3209E-01  1.108E-06\n",
       "3        x1(k-1)  -5.9333E-01  4.688E-06\n",
       "4       y(k-1)^2   2.7673E-01  3.922E-07\n",
       "5   y(k-2)y(k-1)  -5.3228E-01  8.389E-07\n",
       "6  x1(k-1)y(k-1)   1.6667E-02  5.690E-07\n",
       "7       y(k-2)^2   2.5766E-01  3.827E-06"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.theta = theta[-1, :].reshape(\n",
    "    -1, 1\n",
    ")  # setting the theta estimated for the last combination of the weights\n",
    "# the model structure is exactly the same, but the order of the regressors is changed in estimate method. Thats why you have to change the model.final_model\n",
    "model.final_model = mo_estimator.final_model\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model,\n",
    "        model.theta,\n",
    "        model.err,\n",
    "        model.n_terms,\n",
    "        err_precision=3,\n",
    "        dtype=\"sci\",\n",
    "    ),\n",
    "    columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n",
    ")\n",
    "r"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The dynamic results for that chosen theta is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.667179100Z",
     "start_time": "2023-07-11T17:36:24.475149700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_results(y=y_valid, yhat=yhat, n=1000)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The static gain result is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.793210700Z",
     "start_time": "2023-07-11T17:36:24.688253500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(4)\n",
    "plt.title(\"Gain\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    gain,\n",
    "    linewidth=1.5,\n",
    "    linestyle=\"-\",\n",
    "    marker=\"o\",\n",
    "    label=\"Buck converter static gain\",\n",
    ")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    HR.dot(model.theta),\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX model gain\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{g}$\")\n",
    "plt.ylim(-16, 0)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The static function result is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:24.902396Z",
     "start_time": "2023-07-11T17:36:24.793210700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(5)\n",
    "plt.title(\"Static Curve\")\n",
    "plt.plot(Uo, Yo, linewidth=1.5, label=\"Static curve\", linestyle=\"-\", marker=\"o\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    QR.dot(model.theta),\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX ​​static representation\",\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.xlabel(\"$\\\\bar{y}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting the best weight combination based on the norm of the cost function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      Regressors   Parameters        ERR\n",
      "0              1   1.5405E+00  9.999E-01\n",
      "1         y(k-1)   2.9687E-01  2.042E-05\n",
      "2         y(k-2)   6.4693E-01  1.108E-06\n",
      "3        x1(k-1)  -4.1302E-01  4.688E-06\n",
      "4       y(k-1)^2   2.7671E-01  3.922E-07\n",
      "5   y(k-2)y(k-1)  -5.3474E-01  8.389E-07\n",
      "6  x1(k-1)y(k-1)   4.0624E-03  5.690E-07\n",
      "7       y(k-2)^2   2.5832E-01  3.827E-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 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": [
    "# the variable `position` returned in `estimate` method give the position of the best weight combination\n",
    "model.theta = theta[position, :].reshape(\n",
    "    -1, 1\n",
    ")  # setting the theta estimated for the best combination of the weights\n",
    "# the model structure is exactly the same, but the order of the regressors is changed in estimate method. Thats why you have to change the model.final_model\n",
    "model.final_model = mo_estimator.final_model\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model,\n",
    "        model.theta,\n",
    "        model.err,\n",
    "        model.n_terms,\n",
    "        err_precision=3,\n",
    "        dtype=\"sci\",\n",
    "    ),\n",
    "    columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n",
    ")\n",
    "print(r)\n",
    "\n",
    "# The dynamic results for that chosen theta is\n",
    "plot_results(y=y_valid, yhat=yhat, n=1000)\n",
    "# The static gain result is\n",
    "plt.figure(4)\n",
    "plt.title(\"Gain\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    gain,\n",
    "    linewidth=1.5,\n",
    "    linestyle=\"-\",\n",
    "    marker=\"o\",\n",
    "    label=\"Buck converter static gain\",\n",
    ")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    HR.dot(model.theta),\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX model gain\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{g}$\")\n",
    "plt.ylim(-16, 0)\n",
    "plt.legend()\n",
    "plt.show()\n",
    "# The static function result is\n",
    "plt.figure(5)\n",
    "plt.title(\"Static Curve\")\n",
    "plt.plot(Uo, Yo, linewidth=1.5, label=\"Static curve\", linestyle=\"-\", marker=\"o\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    QR.dot(model.theta),\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX ​​static representation\",\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.xlabel(\"$\\\\bar{y}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also plot the pareto-set solutions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.014411600Z",
     "start_time": "2023-07-11T17:36:24.914906300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(6)\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.plot3D(J[0, :], J[1, :], J[2, :], \"o\", linewidth=0.1)\n",
    "ax.set_title(\"Pareto-set solutions\", fontsize=15)\n",
    "ax.set_xlabel(\"$J_{ls}$\", fontsize=10)\n",
    "ax.set_ylabel(\"$J_{sg}$\", fontsize=10)\n",
    "ax.set_zlabel(\"$J_{sf}$\", fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Detailing AILS"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The polynomial NARX model built using the mono-objective approach has the following structure:\n",
    "\n",
    "$\n",
    "y(k) = \\theta_1 y(k-1) + \\theta_2 y(k-2) + \\theta_3 u(k-1) y(k-1) + \\theta_4 + \\theta_5 y(k-1)^2 + \\theta_6 u(k-1) + \\theta_7 y(k-2)y(k-1) + \\theta_8 y(k-2)^2\n",
    "$\n",
    "\n",
    "The, the goal when using the static function and static gain information in the multiobjective scenario is to estimate the vector $\\hat{\\theta}$ based on:\n",
    "\n",
    "$\n",
    "\\theta = [w_1\\Psi^T\\Psi + w_2(HR)^T(HR) + w_3(QR)(QR)^T]^{-1} [w_1\\Psi^T y + w_2(HR)^T\\overline{g}+w_3(QR)^T\\overline{y}]\n",
    "$\n",
    "\n",
    "The $\\Psi$ matrix is built using the usual mono-objective dynamic modeling approach in SysIdentPy. However, it is still necessary to find the Q, H and R matrices. AILS have the methods to compute all of those matrices. Basically, to do that, $q_i^T$ is first estimated:\n",
    "\n",
    "$\n",
    "q_i^T =\n",
    "\\begin{bmatrix}\n",
    "1 & \\overline{y_i} & \\overline{u_1} & \\overline{y_i}^2 & \\cdots & \\overline{y_i}^l &  F_{yu} & \\overline{u_i}^2 & \\cdots & \\overline{u_i}^l\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "where $F_{yu}$ stands for all non-linear monomials in the model that are related to $y(k)$ and $u(k)$, $l$ is the largest non-linearity in the model for input and output terms. For a model with a degree of nonlinearity equal to 2, we can obtain:\n",
    "\n",
    "$\n",
    "q_i^T = \n",
    "\\begin{bmatrix}\n",
    "1 & \\overline{y_i} & \\overline{u_i} & \\overline{y_i}^2 & \\overline{u_i}\\:\\overline{y_i} & \\overline{u_i}^2 \n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "It is possible to encode the $q_i^T$ matrix so that it follows the model encoding defined in SysIdentPy. To do this, 0 is considered as a constant, $y_i$ equal to 1 and $u_i$ equal to 2. The number of columns indicates the degree of nonlinearity of the system and the number of rows reflects the number of terms:\n",
    "\n",
    "$\n",
    "q_i = \n",
    "\\begin{bmatrix}\n",
    "0 & 0\\\\\n",
    "1 & 0\\\\\n",
    "2 & 0\\\\\n",
    "1 & 1\\\\\n",
    "2 & 1\\\\\n",
    "2 & 2\\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "$ = $\n",
    "$ \n",
    "\\begin{bmatrix}\n",
    "1 \\\\\n",
    "\\overline{y_i}\\\\\n",
    "\\overline{u_i}\\\\\n",
    "\\overline{y_i}^2\\\\\n",
    "\\overline{u_i}\\:\\overline{y_i}\\\\\n",
    "\\overline{u_i}^2\\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "Finally, the result can be easily obtained using the ‘regressor_space’ method of SysIdentPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.017591800Z",
     "start_time": "2023-07-11T17:36:25.013411900Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R = [[0 0]\n",
      " [1 0]\n",
      " [2 0]\n",
      " [1 1]\n",
      " [2 1]\n",
      " [2 2]]\n"
     ]
    }
   ],
   "source": [
    "from sysidentpy.narmax_base import RegressorDictionary\n",
    "\n",
    "object_qit = RegressorDictionary(xlag=1, ylag=1)\n",
    "R_example = object_qit.regressor_space(n_inputs=1) // 1000\n",
    "print(f\"R = {R_example}\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "such that:\n",
    "\n",
    "$\n",
    "\\overline{y_i} = q_i^T R\\theta\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "\\overline{g_i} = H R\\theta\n",
    "$\n",
    "\n",
    "where $R$ is the linear mapping of the static regressors represented by $q_i^T$. In addition, the $H$ matrix holds affine information regarding $\\overline{g_i}$, which is equal to $\\overline{g_i} = \\frac{d\\overline{y}}{d\\overline{u}}{\\big |}_{(\\overline{u_i}\\:\\overline{y_i})}$.\n",
    "\n",
    "From now on, we will begin to apply the parameter estimation in a multiobjective manner. This will be done with the NARX polynomial model of the BUCK converter in mind. In this context, $q_i^T$ will be generic and will assume a specific format for the problem at hand. For this task, the $R_qit$ method will be used, whose objective is to return the $q_i^T$ related to the model and the matrix of the linear mapping $R$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.021969800Z",
     "start_time": "2023-07-11T17:36:25.017591800Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R matrix:\n",
      "[[1 0 0 0 0 0 0 0]\n",
      " [0 1 1 0 0 0 0 0]\n",
      " [0 0 0 1 0 0 0 0]\n",
      " [0 0 0 0 1 1 0 1]\n",
      " [0 0 0 0 0 0 1 0]]\n",
      "qit matrix:\n",
      "[[0 0]\n",
      " [1 0]\n",
      " [0 1]\n",
      " [2 0]\n",
      " [1 1]]\n"
     ]
    }
   ],
   "source": [
    "R, qit = mo_estimator.build_linear_mapping()\n",
    "print(\"R matrix:\")\n",
    "print(R)\n",
    "print(\"qit matrix:\")\n",
    "print(qit)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\n",
    "q_i = \n",
    "\\begin{bmatrix}\n",
    "0 & 0\\\\\n",
    "1 & 0\\\\\n",
    "2 & 0\\\\\n",
    "1 & 1\\\\\n",
    "2 & 1\\\\ \n",
    "\\end{bmatrix}\n",
    "$\n",
    "$ =$\n",
    "$\n",
    "\\begin{bmatrix}\n",
    "1\\\\\n",
    "\\overline{y}\\\\\n",
    "\\overline{u}\\\\\n",
    "\\overline{y^2}\\\\\n",
    "\\overline{u}\\:\\overline{y}\\\\ \n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "You can notice that the method produces outputs consistent with what is expected:\n",
    "\n",
    "$\n",
    "y(k) = \\theta_1 y(k-1) + \\theta_2 y(k-2) + \\theta_3 u(k-1) y(k-1) + \\theta_4 + \\theta_5 y(k-1)^2 + \\theta_6 u(k-1) + \\theta_7 y(k-2)y(k-1) + \\theta_8 y(k-2)^2\n",
    "$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and:\n",
    "\n",
    "$\n",
    "R = \n",
    "\\begin{bmatrix}\n",
    "term/\\theta & \\theta_1 & \\theta_2 & \\theta_3 & \\theta_4 & \\theta_5 & \\theta_6 & \\theta_7 & \\theta_8\\\\\n",
    "1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\\\\n",
    "\\overline{y} & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "\\overline{u} & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0\\\\\n",
    "\\overline{y^2} & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1\\\\\n",
    "\\overline{y}\\:\\overline{u} & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "\\end{bmatrix}\n",
    "$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Validation\n",
    "\n",
    "The following model structure will be used to validate the approach:\n",
    "\n",
    "$\n",
    "y(k) = \\theta_1 y(k-1) + \\theta_2 y(k-2) + \\theta_3 + \\theta_4 u(k-1) + \\theta_5 u(k-1)^2 + \\theta_6 u(k-2)u(k-1)+\\theta_7 u(k-2) + \\theta_8 u(k-2)^2\n",
    "$\n",
    "\n",
    "$\\therefore$\n",
    "\n",
    "$\n",
    "final\\_model = \n",
    "\\begin{bmatrix}\n",
    "1001 & 0\\\\\n",
    "1002 & 0\\\\\n",
    "0 & 0\\\\\n",
    "2001 & 0\\\\\n",
    "2001 & 2001\\\\\n",
    "2002 & 2001\\\\\n",
    "2002 & 0\\\\\n",
    "2002 & 2002\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "defining in code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.026952500Z",
     "start_time": "2023-07-11T17:36:25.023968Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1001,    0],\n",
       "       [1002,    0],\n",
       "       [   0,    0],\n",
       "       [2001,    0],\n",
       "       [2001, 2001],\n",
       "       [2002, 2001],\n",
       "       [2002,    0],\n",
       "       [2002, 2002]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "final_model = np.array(\n",
    "    [\n",
    "        [1001, 0],\n",
    "        [1002, 0],\n",
    "        [0, 0],\n",
    "        [2001, 0],\n",
    "        [2001, 2001],\n",
    "        [2002, 2001],\n",
    "        [2002, 0],\n",
    "        [2002, 2002],\n",
    "    ]\n",
    ")\n",
    "final_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.031862500Z",
     "start_time": "2023-07-11T17:36:25.027952500Z"
    }
   },
   "outputs": [],
   "source": [
    "mult2 = AILS(final_model=final_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.101857500Z",
     "start_time": "2023-07-11T17:36:25.034862400Z"
    }
   },
   "outputs": [],
   "source": [
    "def psi(X, Y):\n",
    "    PSI = np.zeros((len(X), 8))\n",
    "    for k in range(2, len(Y)):\n",
    "        PSI[k, 0] = Y[k - 1]\n",
    "        PSI[k, 1] = Y[k - 2]\n",
    "        PSI[k, 2] = 1\n",
    "        PSI[k, 3] = X[k - 1]\n",
    "        PSI[k, 4] = X[k - 1] ** 2\n",
    "        PSI[k, 5] = X[k - 2] * X[k - 1]\n",
    "        PSI[k, 6] = X[k - 2]\n",
    "        PSI[k, 7] = X[k - 2] ** 2\n",
    "    return np.delete(PSI, [0, 1], axis=0)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The value of theta with the lowest mean squared error obtained with the same code implemented in Scilab was:\n",
    "\n",
    "$\n",
    "W_{LS} = 0.3612343\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "W_{SG} = 0.3548699\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "W_{SF} = 0.3548699\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.101857500Z",
     "start_time": "2023-07-11T17:36:25.038871100Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:4: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 0] = Y[k - 1]\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:5: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 1] = Y[k - 2]\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:7: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 3] = X[k - 1]\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:8: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 4] = X[k - 1] ** 2\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:9: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 5] = X[k - 2] * X[k - 1]\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:10: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 6] = X[k - 2]\n",
      "C:\\Users\\wilso\\AppData\\Local\\Temp\\ipykernel_58792\\3629615894.py:11: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  PSI[k, 7] = X[k - 2] ** 2\n"
     ]
    }
   ],
   "source": [
    "PSI = psi(x_train, y_train)\n",
    "w = np.array([[0.3612343], [0.2838959], [0.3548699]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.122382900Z",
     "start_time": "2023-07-11T17:36:25.053252Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        vertical-align: middle;\n",
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       "\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>w1</th>\n",
       "      <th>w2</th>\n",
       "      <th>w3</th>\n",
       "      <th>J_ls</th>\n",
       "      <th>J_sg</th>\n",
       "      <th>J_sf</th>\n",
       "      <th>||J||:</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.361234</td>\n",
       "      <td>0.35487</td>\n",
       "      <td>0.283896</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         w1       w2        w3  J_ls  J_sg  J_sf  ||J||:\n",
       "0  0.361234  0.35487  0.283896   1.0   1.0   1.0     1.0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "J, E, theta, HR, QR, position = mult2.estimate(\n",
    "    y=y_train, X=x_train, gain=gain, y_static=Yo, X_static=Uo, weighing_matrix=w\n",
    ")\n",
    "result = {\n",
    "    \"w1\": w[0, :],\n",
    "    \"w2\": w[2, :],\n",
    "    \"w3\": w[1, :],\n",
    "    \"J_ls\": J[0, :],\n",
    "    \"J_sg\": J[1, :],\n",
    "    \"J_sf\": J[2, :],\n",
    "    \"||J||:\": E,\n",
    "}\n",
    "# the order of the weights is different because the way we implemented in Python, but the results are very close as expected\n",
    "pd.DataFrame(result)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dynamic results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.123384200Z",
     "start_time": "2023-07-11T17:36:25.066834500Z"
    }
   },
   "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>Regressors</th>\n",
       "      <th>Parameters</th>\n",
       "      <th>ERR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1.4287E+00</td>\n",
       "      <td>9.999E-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>y(k-1)</td>\n",
       "      <td>5.5147E-01</td>\n",
       "      <td>2.042E-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>y(k-2)</td>\n",
       "      <td>4.0449E-01</td>\n",
       "      <td>1.108E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>x1(k-1)</td>\n",
       "      <td>-1.2605E+01</td>\n",
       "      <td>4.688E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>x1(k-2)</td>\n",
       "      <td>1.2257E+01</td>\n",
       "      <td>3.922E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>x1(k-1)^2</td>\n",
       "      <td>8.3274E+00</td>\n",
       "      <td>8.389E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>x1(k-2)x1(k-1)</td>\n",
       "      <td>-1.1416E+01</td>\n",
       "      <td>5.690E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>x1(k-2)^2</td>\n",
       "      <td>3.0846E+00</td>\n",
       "      <td>3.827E-06</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Regressors   Parameters        ERR\n",
       "0               1   1.4287E+00  9.999E-01\n",
       "1          y(k-1)   5.5147E-01  2.042E-05\n",
       "2          y(k-2)   4.0449E-01  1.108E-06\n",
       "3         x1(k-1)  -1.2605E+01  4.688E-06\n",
       "4         x1(k-2)   1.2257E+01  3.922E-07\n",
       "5       x1(k-1)^2   8.3274E+00  8.389E-07\n",
       "6  x1(k-2)x1(k-1)  -1.1416E+01  5.690E-07\n",
       "7       x1(k-2)^2   3.0846E+00  3.827E-06"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.theta = theta[position, :].reshape(-1, 1)\n",
    "model.final_model = mult2.final_model\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model,\n",
    "        model.theta,\n",
    "        model.err,\n",
    "        model.n_terms,\n",
    "        err_precision=3,\n",
    "        dtype=\"sci\",\n",
    "    ),\n",
    "    columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n",
    ")\n",
    "r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.276007600Z",
     "start_time": "2023-07-11T17:36:25.115874700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_results(y=y_valid, yhat=yhat, n=1000)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Static gain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.383278600Z",
     "start_time": "2023-07-11T17:36:25.238956900Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1aNEiU920adP08ccfKz4+Xn/88YdSU1OzvHH7etcfW+nq8b32MxqFhSAEAHnkU8pdu8ZH56l246Gz6jNzU651sU/coRY1c38D8imVv58PKF26tMO/6j/66CMFBgbqww8/1Msvv2w/M3T9Jbcbv5332k8Y5KRp06bavHmzPv74YzVv3jzHL7jLy/by4vogdW1/1y7jeHp6qkuXLpo9e7YeffRRzZ49W927d5eHx9W3u4sXL6pZs2ZZ3scUFBRk/3Pp0qXz1MvFixf19NNPa+DAgZmWVatWLc/bc3d319KlS7Vu3TotWbJE77zzjkaPHq0NGzaoZs2aWa6zfv169ezZUzExMYqOjrafbZsyZUqeer+moI7L9ebMmaNhw4ZpypQpioyMlL+/v15//fUc7zuSlCkkG4aR7SW6gsI9QgCQR4ZhyNfTI09T69pBCgn0VnaxwNDVT4+1rh2Up+3d6jfoGoYhNzc3/fHHH5L+96Z/7V4XSfYbXa9p1KiRli1bluN2a9WqpRUrVujbb7/Vv/71rxxrGzVqpNWrV2f5cwgBAQGqXLmy1q5d6zB/7dq1ql+/fo7bvVHPnj21ePFi7dy5U8uXL3e4Z+n222/Xvn37VLFiRYWHhztMuX2KydPTM9P9Ubfffrt27dqVaVvh4eH5/mSYYRi66667FBMToy1btsjT09N+SS+rfa9bt07Vq1fX6NGj1bx5c9WuXVtHjhzJtecbNWrUSHFxcTp79mye+oyIiND27duVkpJin7dpk2PoX7t2rVq1aqV//vOfatq0qcLDwx3OuBUnBCEAKATubobGdbz6Bn5jhLn2eFzH+nJ3K5yf70hJSVFiYqISExO1e/du/etf/9LFixfVsWNHSVfvAQkNDdWLL76offv26bvvvst0JmHUqFHatGmT/vnPf2rbtm3as2ePpk+frtOnTzvU1alTRytWrNBXX32V4xcsDhgwQMnJyXr00Uf1yy+/aN++ffr000+1d+9eSdJzzz2nV199VXPnztXevXs1cuRIxcXFadCgQfka+913363g4GD17NlTNWvWVMuWLe3LevbsqQoVKqhTp05avXq1Dh06pJUrV2rgwIH6/fffc9xujRo1tGrVKh07dsz+HIwYMULr1q3TgAEDFBcXp3379unbb7/NdLN0bjZs2KBXXnlFv/zyi+Lj4/X111/r1KlT9ktrNWrU0LZt27R3716dPn1aaWlpql27tuLj4zVnzhwdOHBAb7/9tj04Xd/zoUOHFBcXp9OnTzuEl2t69Oih4OBgde7cWWvXrtXBgwf11Vdf2T+Nd6O///3vysjI0FNPPaXdu3frxx9/1OTJkyX97wxd7dq19csvv+jHH3/Ub7/9phdeeCFTWCouCEIAUEja3xai6Y/druBAb4f5wYHemv7Y7YX6PUKLFy9WSEiIQkJC1LJlS23atEnz5s1TVFSUpKuXIP7zn/9oz549atSokV599VW9/PLLDtuoU6eOlixZoq1bt6pFixaKjIzUt99+a7/MdL2IiAgtX75c//nPf7K9Kbh8+fJavny5/VNKzZo104cffmi/HDJw4EANGTJEQ4cOVcOGDbV48WItWLBAtWvXztfYDcNQjx49tHXr1kyfYPP19dWqVatUrVo1PfLII6pXr5769u2rK1eu5Hpvzfjx43X48GHVqlXLfkatUaNG+umnn/Tbb7+pdevWatq0qcaOHavKlSvnq+eAgACtWrVKDz74oOrUqaMxY8ZoypQp9i897NevnyIiItS8eXMFBQVp7dq1+utf/6p///vfGjBggJo0aaJ169Zl+kTa3/72N7Vv315t2rRRUFCQ/vOf/2Tat6enp5YsWaKKFSvqwQcfVMOGDTVp0qRsf809ICBACxcuVFxcnJo0aaLRo0dr7NixkmS/b+jpp5/WI488ou7du6tly5Y6c+aM/vnPf+brOSkqhnkrn8ks4ZKTkxUYGKikpKR833wGwPVduXJFhw4dUs2aNR1uDM0vW4apjYfO6uSFK6ro760WNcsV2pkgwBk+//xzPfHEE0pKSiqUe46yk91rND/v39wsDQCFzN3NUGStvH9/D1DcffLJJwoLC1OVKlW0detWjRgxQt26dSvSEFRQCEIAACBfEhMTNXbsWCUmJiokJERdu3bVhAkTnN3WTSEIAQCAfBk+fLiGDx/u7DYKBDdLAwAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAsITY2VmXKlMnXOoZhaP78+YXSzzUrV66UYRg6f/58oe4HWSMIAUAJ06dPHxmGoUmTJjnMnz9/fra/Yl+3bl15eXkpMTEx07KoqCgZhiHDMOTt7a06depo4sSJuv4Xmr7//nt5enpq8+bNDutOmTJFFSpUyHK7uKpVq1ZKSEhQYGCgs1uxJIIQABSFAyukd1tc/W8R8Pb21quvvqpz587lWrtmzRr98ccf6tKli2bNmpVlTb9+/ZSQkKC9e/dq1KhRGjt2rN5//3378gcffFC9evVSr1697L9wvmvXLo0ZM0bTpk1TcHBwwQysBPL09FRwcHC2IRWFiyAEAIXNNKVlMdLpvVf/WwS/dd2uXTsFBwdr4sSJudbOmDFDf//73/X444/r448/zrLG19dXwcHBql69up544gk1atRIS5cudah58803dfHiRY0bN07p6enq3bu3OnbsqO7du2e772uXqxYtWqSIiAj5+vqqS5cuunz5smbNmqUaNWqobNmyGjhwoGw2m329c+fOqVevXipbtqx8fX31wAMPaN++fZm2Xa1aNfn6+urhhx/WmTNnMu3/22+/1e233y5vb2+FhYUpJiZG6enpuT5n11y4cEE9e/ZU6dKlFRISojfffFNRUVEaPHiwvebTTz9V8+bN5e/vr+DgYP3973/XyZMn7ctvvDR27Tn58ccfVa9ePfn5+al9+/ZKSEjIc1/IO4IQAOSVaUqpl/I/7f1eOr7l6jaOb7n6OL/byGd4cnd31yuvvKJ33nlHv//+e7Z1Fy5c0Lx58/TYY4/pvvvuU1JSklavXp3DU2Bq9erV2rNnjzw9PR2W+fv76+OPP9aUKVPUs2dPHT16VNOnT8+118uXL+vtt9/WnDlztHjxYq1cuVIPP/ywvv/+e33//ff69NNP9cEHH+jLL7+0r9OnTx/98ssvWrBggdavXy/TNPXggw8qLS1NkrRhwwb17dtXAwYMUFxcnNq0aaOXX37ZYb+rV69Wr169NGjQIO3atUsffPCBYmNj8/WbWUOGDNHatWu1YMECLV26VKtXr850eTAtLU0vvfSStm7dqvnz5+vw4cPq06dPrs/J5MmT9emnn2rVqlWKj4/XsGHD8twX8o7fGgOAvEq7LL1S+da3M+fv+V/n+eOSZ+l8rfLwww+rSZMmGjdunGbMmJF1K3PmqHbt2mrQoIEk6dFHH9WMGTPUunVrh7r33ntPH330kVJTU5WWliZvb28NHDgw0/batm2rLl26aM6cOZo7d67Kly+fa59paWmaPn26atWqJUnq0qWLPv30U504cUJ+fn6qX7++2rRpoxUrVqh79+7at2+fFixYoLVr16pVq1aSpM8//1yhoaGaP3++unbtqqlTp6p9+/b238OqU6eO1q1bp8WLF9v3GxMTo5EjR6p3796SpLCwML300ksaPny4xo0bl2vfFy5c0KxZszR79mzde++9kqSZM2eqcmXHvyNPPvmk/c9hYWF6++23dccdd+jixYvy8/PL9jl5//337c/JgAEDNH78+Fx7Qv5xRggASrBXX31Vs2bN0u7du7Nc/vHHH+uxxx6zP37sscc0b948XbhwwaGuZ8+eiouL09q1a/XAAw9o9OjR9hByvWPHjmnx4sXy9fXN8czS9Xx9fe1v+JJUqVIl1ahRwyEkVKpUyX45affu3fLw8FDLli3ty8uXL6+IiAj7OHfv3u2wXJIiIyMdHm/dulXjx4+Xn5+ffbp2L9Tly5dz7fvgwYNKS0tTixYt7PMCAwMVERHhUPfrr7+qY8eOqlatmvz9/XXPPfdIkuLj4/P8nISEhDhcTkPB4YwQAORVKd+rZ2byyjSl2AelxB2S+b/7W2S4S8G3SX2+l/J6g2wp3/z1+qe7775b0dHRGjVqVKbLMbt27dLPP/+sjRs3asSIEfb5NptNc+bMUb9+/ezzAgMDFR4eLkn64osvFB4erjvvvFPt2rVz2Ga/fv3UrFkzjR49Wvfdd5+6dOlif+PPdmilSjk8Ngwjy3kZGRl5HndeXLx4UTExMXrkkUcyLfP29i6QfVy6dEnR0dGKjo7W559/rqCgIMXHxys6OlqpqanZrpfV+M0iuLfMikrsGaHDhw+rb9++qlmzpnx8fFSrVi2NGzcux794AJAjw7h6eSqv09GfpYStjiFIuvo4YevV5Xnd1i18omjSpElauHCh1q9f7zB/xowZuvvuu7V161bFxcXZpyFDhmR7KU2S/Pz8NGjQIA0bNszhzfmjjz7SmjVrNGPGDLVp00bPPvusnnzySV26dOmme89KvXr1lJ6erg0bNtjnnTlzRnv37lX9+vXtNdcvl6Sff/7Z4fHtt9+uvXv3Kjw8PNPk5pb722NYWJhKlSqlTZs22eclJSXpt99+sz/es2ePzpw5o0mTJql169aqW7cuZ3aKmRIbhPbs2aOMjAx98MEH2rlzp9588029//77ev75553dGgArME1p+cvK/n+zbleXF8G/8hs2bKiePXvq7bffts9LS0vTp59+qh49eui2225zmP7xj39ow4YN2rlzZ7bbfPrpp/Xbb7/pq6++kiQdOXJEQ4YM0eTJk1W9enVJVy/LGYahkSNHFuh4ateurU6dOqlfv35as2aNtm7dqscee0xVqlRRp06dJEkDBw7U4sWLNXnyZO3bt0/vvvuuw/1BkjR27Fh98skniomJ0c6dO7V7927NmTNHY8aMyVMf/v7+6t27t5577jmtWLFCO3fuVN++feXm5mb/KHy1atXk6empd955RwcPHtSCBQv00ksvFejzgVtTYoNQ+/btNXPmTN1///0KCwvTX//6Vw0bNkxff/21s1sDYAW2VCnpmKTsLudkSMnHrtYVgfHjxztcWlqwYIHOnDmjhx9+OFNtvXr1VK9evRzPCpUrV069evXSiy++KJvNpr59+yoyMlJPPfWUvcbX11exsbGaPn26fvrppwIdz8yZM9WsWTM99NBDioyMlGma+v777+2XlO688059+OGHmjp1qho3bqwlS5ZkCjjR0dFatGiRlixZojvuuEN33nmn3nzzTXuQy4s33nhDkZGReuihh9SuXTvdddddqlevnv3SWlBQkGJjYzVv3jzVr19fkyZN0uTJkwvuicAtM0wLXXQcM2aMFi9erF9++SXL5SkpKfYvApOk5ORkhYaGKikpSQEBAUXVJoBi4sqVKzp06JBq1qx5c/eMJP0uXTqd/fLSQVJglZtvEMXOpUuXVKVKFU2ZMkV9+/Z1djslXnav0eTkZAUGBubp/dsyN0vv379f77zzTo5JfOLEiYqJiSnCrgCUaIFVr04osbZs2aI9e/aoRYsWSkpKsn/E/dolOhR/LndpbOTIkfbfvMlu2rNnj8M6x44dU/v27dW1a1eHT0HcaNSoUUpKSrJPR48eLezhAABc3OTJk9W4cWO1a9dOly5d0urVq1WhQgVnt4U8crlLY6dOncrya9KvFxYWZv/G0+PHjysqKkp33nmnYmNj8/RJgGvyc2oNQMlzy5fGABQqS14aCwoKUlBQUJ5qjx07pjZt2qhZs2aaOXNmvkIQAAAo+VwuCOXVsWPHFBUVperVq2vy5Mk6deqUfRm/ggwAAKQSHISWLl2q/fv3a//+/apa1fFmRRe7GgjAyQr6G40BFIyCeG263D1CRYl7hABry8jI0L59++Tu7q6goCB5enravygPgPOYpqnU1FSdOnVKNptNtWvXdrj9pUTfIwQARcXNzU01a9ZUQkKCjh/Px2+MASgSvr6+qlat2i3dA0wQAoAceHp6qlq1akpPT5fNZst9BQBFwt3dXR4eHrd8lpYgBAC5uPZr6Df+IjgA18fnyQEAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGVZIgilpKSoSZMmMgxDcXFxzm4HAAAUE5YIQsOHD1flypWd3QYAAChmSnwQ+uGHH7RkyRJNnjzZ2a0AAIBixsPZDRSmEydOqF+/fpo/f758fX2d3Q4AAChmSmwQMk1Tffr00TPPPKPmzZvr8OHDua6TkpKilJQU++Pk5ORC7BAAADiby10aGzlypAzDyHHas2eP3nnnHV24cEGjRo3K87YnTpyowMBA+xQaGlqIIwEAAM5mmKZpOruJ/Dh16pTOnDmTY01YWJi6deumhQsXyjAM+3ybzSZ3d3f17NlTs2bNyrReVmeEQkNDlZSUpICAgIIbBAAAKDTJyckKDAzM0/u3ywWhvIqPj3e4tHX8+HFFR0fryy+/VMuWLVW1atVct5GfJxIAABQP+Xn/LrH3CFWrVs3hsZ+fnySpVq1aeQpBAACg5HO5e4QAAAAKSok9I3SjGjVqqIReBQQAADeJM0IAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCySnwQ+u6779SyZUv5+PiobNmy6ty5s7NbAgAAxYSHsxsoTF999ZX69eunV155RW3btlV6erp27Njh7LYAAEAxUWKDUHp6ugYNGqTXX39dffv2tc+vX7++E7sCAADFSYm9NLZ582YdO3ZMbm5uatq0qUJCQvTAAw9wRggAANiV2CB08OBBSdKLL76oMWPGaNGiRSpbtqyioqJ09uzZLNdJSUlRcnKywwQAAEoulwtCI0eOlGEYOU579uxRRkaGJGn06NH629/+pmbNmmnmzJkyDEPz5s3LctsTJ05UYGCgfQoNDS3KoQEAgCLmcvcIDR06VH369MmxJiwsTAkJCZIc7wny8vJSWFiY4uPjs1xv1KhRGjJkiP1xcnIyYQgAgBLM5YJQUFCQgoKCcq1r1qyZvLy8tHfvXv3lL3+RJKWlpenw4cOqXr16lut4eXnJy8urQPsFAADFl8sFobwKCAjQM888o3Hjxik0NFTVq1fX66+/Lknq2rWrk7sDAADFQYkNQpL0+uuvy8PDQ48//rj++OMPtWzZUsuXL1fZsmWd3RoAACgGDNM0TWc3UVwlJycrMDBQSUlJCggIcHY7AAAgD/Lz/u1ynxoDAAAoKAQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWQQhAABgWR7ObsCKbBmmNh46q5MXrqiiv7da1CwndzejUGqKen/0Xfx6ou/iV1Mce3LVvotjT/RdsPsrbDcVhHbt2qW6devKza14n1D67bff9Nxzz2nt2rVKTU1Vo0aN9NJLL6lNmzZO62nxjgTFLNylsAub9KLHJ3oxvZcO+t+hcR3rq/1tIQVaU9T7o+/i1xN9F7+a4thTce47IemKff8hgd7Z9pRTXXGrKY49Fce+i4phmqaZ35Xc3Nzk7e2t+vXrq3Hjxg5TmTJlCqHNm1OnTh3Vrl1bEydOlI+Pj9566y3FxsbqwIEDCg4OznX95ORkBQYGKikpSQEBAbfcz+IdCXr2s80yZepbzxfU2O2gtmaEqXPqS5IMTX/sdkkqkJr2t4UU6f7om77pm74LvifpLrft9rC0LqOhJGXRU/Z1edlWUdbQd973dyvy8/6d5yA0adIkPfPMMypTpoxWr16trl27qmXLlvLy8tLu3bu1c+dOGYah8PBwdevWTUOHDnVqKDp9+rSCgoK0atUqtW7dWpJ04cIFBQQEaOnSpWrXrl2u2yjIIGTLMPWXV5crIemK7nbbqk88X7Uv+0fqEK3LuE1Bfl4yDUMnL6ToLrcdmuE5xV7TN3Wo1mQ0+rNGOnkhVX9x26aZnpPtNX1Sn9OajEaq6O+t7we11gNTVynxQqrudtumWZ6v2et6pY7Q6ozGqujvJRnSieSUTD05o6ZSgLcWD26t6LdWFZue6Ju+6dt5feuGsNQp9SUZMjL1lF1dXrZVlDX0nbea4EBvrRnR9pYukxVKEAoICFBcXJzCwsJ0++2364UXXtDDDz9sX75s2TI9/fTT6t27t/773/8qPj5eGzduVFBQ0E0P5FaYpql69eqpdevWeuutt+Tl5aW33npLr7/+uvbs2aOyZctmWiclJUUpKSn2x8nJyQoNDS2QILT+wBn1+PBnXT3wY9TY7dAtba+gXftbYBj/+7NNhiRDpgxJptyVcXXOnzWmpDS563/33JsqpfQbagxdUak/t3O1xltpcpNpr8mQocvy+nM//+OrK3K/rs4mN12Ut0NP/vrjal/X1ZxXaYf9ldFlechmr0mXu87J77r9mSqriyp1XU2a3HVaAQ77ClJSppqTKiPT/N8lYlOmKhnn5al0e12qPJRglnPoKcQ4K6/ralJUSsfM8g77q2qclpfSHGrizSCZ1z3f1YyT8r6u5opK6bAZ7LCdmkaivJVqr/lDnjpohjg836akcOO4fG6o+82sIv3590AyVds4Jl+l2Gsuy0t7zFCH/dU14lX6uppL8tIus7pD3w2MIyqtK9fVeGt7Rk2H56ih2yH5XVdzUd7amhF23Xau9t3E7YD89Ye97oJ8tCUj3KGn2932yU9/yM2QMkzpony0KSPCYX93uP0mf12211yQrzZm1HX4e9LSbY9DTbJ8tT6jvsO+WrntUoAuXVdTWmsyGkhy/HvyF7cdCryuLkmltSqjkUNP97htV6Au2mvOy08rMho7HJM2bnEqc0PNMltTh+f7XvctKqsL9ppz8tcSWzOHfUW7/+pQc1b++tF2R6a/Jw+4b1Q5h7oAfWdr4fAcdHDfoPJKttecUYAW2iIdav7qvl7llWSvOa1AfWtr5XB8qxin1MF9o/3xIlsL/W5WsvdyTVXjlDq6/2x/vMB2p+L/rLtaa6iacUKd3Nfb5823ReqIee3KwNUxVjNO6GH3tfaar9Pv0mEzxGF/1Y0T6uKx2l4zL/1uHTaDHfqpYSSqm8cq++Mv0u/RQft2jOvqEtTDY6X98X/So3TArOLwfIcZx9XTY4V93ufpbe011/YZZhzX4x7L7DWfpLfTfnvN1f3VMo6rj8cSe01s+v3ab1Zx6CfcOKYnPH60P/44PVq/maGZ+q5tHNU/PBbbH3+Y/oC97lptHeOonvL43j7v/9I6/Pn/iv9tK8KI1zOlvrPX9EodoVUZja8+F/3uVGSt8rpZhRKE/P39tXXrVoWFhcnX11dxcXGqU6eOQ83ChQs1a9YszZs3T926dVOZMmX04Ycf3vRAbtXvv/+uzp07a/PmzXJzc1PFihX13XffqWnTplnWv/jii4qJick0vyCC0LdxxzRoTlymfwUBAGB16aabdpo11OnPS6RTH22iTk2q5LpedvIThG7qZulmzZrp888/zxQabrvtNi1ZskSGYei5555T9+7db2bzORo5cqRefTXnILF7925FRESof//+qlixolavXi0fHx999NFH6tixozZt2qSQkMzXH0eNGqUhQ4bYH187I1QQKvp7SzI11GOe0k03eRgZ9mXppqHdZnV1T31BkjTX8yXVM47IwzAdavaY1dUjdbQk6T+eE1Q3y5pq6pn6vAbdG663l+3TZ54TVc+Il/t1dbY/63qljpAhaZbnq6qbZU2onkgdLkmK9XxNEcbRTDV7zVD9I3WoJOkjz8mKMH7PVPObWVX90q4+rx+WekN1sql5Jm2wnm4dpv9bfUDvl5qq2lnU7TOrqH/aQEnStFJvq7ZxLMuagWkDJEnvlHpX4VnU7Dcr699p/5QkvVXqPdUyjmeqOWBW1pC0ZyRJb5R6P8uag2aIhqU9rV6R1fXp+iN6vdQHCjMSsqwbkdZPhkxNKvVRljWHzBA9n/akJOmVUjNU00jMVHPYDNaY9CckSS97zFSNbGrGpfeWJI33iFV140SmmiNmJcWk91K3ZlU179ejGuvxaTZ1FfVy+mMyZGqMx+eqZpzMVBNvVtTE9B6SpOc9/qPQLGqOmhX1avrV/x+M8JijUONUpprfzSC9nt5NkvScxxeqmk3NlPQu+mvjEC3celxDPb5UVeO03K6ryzAN/W5W0Fvpj8iQNMjj62xr3rF1liQNdP9GVYwzmWqOmeX1nu2vkqT+7gtUOYua42Y5vW/rKEl6xn2hKhtns6z5P1sH3Vevkv67+4Secv9OIVnUJZjlNMP2gAyZetJ9cZY1iWZZzbRFS5KecP9Rwca5LGs+td0nSerlvkSVjPOZak6YZfSZ7eotAo+5/zfLmpNmGc22tVXr2hW0Zt8p9fBYropKylynQM21RcmQqW7uP6mizuv6qxoZpnRKZfSl7eptCl3cVysoi5rTCtTXtr9IMlTVOKmHrjsbdM0Ptjv0uxmkO2qU1S+Hz6qKcUoPuP+Sqe5HWzMdNytIkiobpxXt/mummqW2pjpuVpDxZ0079y2ZapbZmijRLG/fThv3rZlqVtga6YRZTpIUbJxVlPu2TDWrbLfphFlODasGasexJFXSWbV235Gpbo2tgU7q6hWLSjqru9x3ZapZZ6unUyorQ6aCdF6R7rsz1Wyw1dUpBUqSgnROLd1/y1SzyVZHZ/6sqaAkNc+iZrMtXGcUqPCKftp/8oLKK1m3u+/PVLfFVkvn5C9JKq8kNXbPfNVjm62mzstPklRWF9TQ/bB9mYeRocbGQd3ttk2rMhr/+Z5ZNPIchJ5//nmVK3f1QE+ePFnt2rXTwYMHNXr0aNWtW1epqal688037TVBQUE6ceJEgTc8dOhQ9enTJ8easLAwLV++XIsWLdK5c+fsafC9997T0qVLNWvWLI0cOTLTel5eXvLy8irwniWpRc1y6uy/R43TDmZa5mGYamgc1n1+hyQZaph+OMua24zDaut3RJKh27KtOaI2/r/rsTbdtG3jSt2WdiRTnbtx9dLEX/yOSzLUID27mnhF+iVKMlQ/PT7LmvpGvO7wO/VnzdEsa+oZR9Ws9BlJhurlUNPU77y63B+ljVs2q25a1nV1jd91W+lkSYbqpv+ebU290hclGYrIpibCOKbapf+QZKhO+rEsa+oYx1SrdEqONbWN46rpl66OD3bS6u1vqHba8WzrQkvbJBmqnZ51TbhxXCGlJclQeHpCljW1jARV9HWTZKhWDjXlfT0kGQpLT8yyJsxIVNnSXrqv0+NauucNhaVlV3dC/r4+kgzVTM/8enY3TNU0TsjH10+SoRrZ1NQwTsjTN+DPmpNZ1lQ3Tsrdt4wkQ9VzqHErXV53/22AFu1/Q9XSTmWqczNMVTNOyeYbJMlQtfTsa1I9K0kyFJp+OsuaUOO0LntWlmSoajY1VY0zuuBZ9c+aM9nWJHtVV8tHh+irV99QlbSs66oYZ3TGs4YkQ1Wy2VZl46xOetaSZKhy+n+yrTnuWVuSoZD0uVnWhBjn9LtnxJ8187KsCTbOKd6rvho/NkSfv/qGgtO+zrpO53XQ+zZJhoLTv82iRqqk8/rN++plvUrpC7Osqagk7fZuqg1GU32Q8lwW/2h0U2XjjMb7jFTvPm317GvL9f6VrOuCjXMa5z1KkpHttioaSXrBe3SONRWMZI32HpNjTTnjokZ5j82xJtC4rBE+MfrpH231RA59+xt/aJhXTI7bKm2kaIjXkBxrvI1Uvez1XI41nka6XvQakWONu5Ghsd7P66dn2+rvOfTtZph63ivn58k0DA33GpdjzVCPedrn3UItapbL9HeksNzUp8YkaceOHRo0aJBWrFghLy8vpaeny8PDQzNnztSjjz6qr7/+WsOHD9f+/ZmTY1FYuHChOnfurKSkJPn5+dnnR0REqHfv3nr++edz3UaBfmrMNHX+7b8o4OxOh39NXZNhGkouW18yjFuvKddAZf61WuffaV00+6Nv+qZv+i7A/e2vP0jN1/bLtPyaX/7yoZq366Zf/vuFmq/JuU5Ssaqh77zv71YU+qUx6eplsGXLlik+Pl5xcXFyd3dXs2bN7B9LDwoK0qRJk25287csMjJSZcuWVe/evTV27Fj5+Pjoww8/1KFDh9ShQ4eib8iWqjKpJ6UsXvzS1X9VlUn781/BBVGTerFo90ff9E3f9F0Q+0s9oeYHp8mUYb+V+3qmDDU/+J6U0UXND76Xc92BaZJhFJ8a+s77/syuklE0X654y98sXa1aNVWrVi3T/GsfWXeWChUqaPHixRo9erTatm2rtLQ0NWjQQN9++60aN25c9A15eElPrZAunZbNNLXzWLLOXk5VOV9PNagSIHfDkEoHSTILpsY7oGj3R9/0Td/0XRD78wqUPr4/yzdJ6c/PuSUfk1IvSknHcq+79ufiUkPfeauxpV593ywCN31pzAoK+gsVAQB5kPS7dCnzPVl2pYOkwCp5q/szeBWbGvrO+/5uQaF8fN6KCEIAALie/Lx/F+8fCwMAAChEBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZLhuEJkyYoFatWsnX11dlypTJsiY+Pl4dOnSQr6+vKlasqOeee07p6elF2ygAACi2PJzdwM1KTU1V165dFRkZqRkzZmRabrPZ1KFDBwUHB2vdunVKSEhQr169VKpUKb3yyitO6BgAABQ3hmmaprObuBWxsbEaPHiwzp8/7zD/hx9+0EMPPaTjx4+rUqVKkqT3339fI0aM0KlTp+Tp6ZnrtpOTkxUYGKikpCQFBAQURvsAAKCA5ef922UvjeVm/fr1atiwoT0ESVJ0dLSSk5O1c+fOLNdJSUlRcnKywwQAAEquEhuEEhMTHUKQJPvjxMTELNeZOHGiAgMD7VNoaGih9wkAAJynWAWhkSNHyjCMHKc9e/YU2v5HjRqlpKQk+3T06NFC2xcAAHC+YnWz9NChQ9WnT58ca8LCwvK0reDgYG3cuNFh3okTJ+zLsuLl5SUvL688bR8AALi+YhWEgoKCFBQUVCDbioyM1IQJE3Ty5ElVrFhRkrR06VIFBASofv36BbIPAADg2opVEMqP+Ph4nT17VvHx8bLZbIqLi5MkhYeHy8/PT/fff7/q16+vxx9/XK+99poSExM1ZswY9e/fn7M+AABAkgt/fL5Pnz6aNWtWpvkrVqxQVFSUJOnIkSN69tlntXLlSpUuXVq9e/fWpEmT5OGRt/zHx+cBAHA9+Xn/dtkgVBQIQgAAuB6+RwgAACAPCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyCEIAAMCyXDYITZgwQa1atZKvr6/KlCmTafnWrVvVo0cPhYaGysfHR/Xq1dPUqVOLvlEAAFBseTi7gZuVmpqqrl27KjIyUjNmzMi0/Ndff1XFihX12WefKTQ0VOvWrdNTTz0ld3d3DRgwwAkdAwCA4sYwTdN0dhO3IjY2VoMHD9b58+dzre3fv792796t5cuX52nbycnJCgwMVFJSkgICAm6xUwAAUBTy8/7tsmeEbkZSUpLKlSuX7fKUlBSlpKTYHycnJxdFWwAAwElc9h6h/Fq3bp3mzp2rp556KtuaiRMnKjAw0D6FhoYWYYcAAKCoFasgNHLkSBmGkeO0Z8+efG93x44d6tSpk8aNG6f7778/27pRo0YpKSnJPh09evRWhgMAAIq5YnVpbOjQoerTp0+ONWFhYfna5q5du3Tvvffqqaee0pgxY3Ks9fLykpeXV762DwAAXFexCkJBQUEKCgoqsO3t3LlTbdu2Ve/evTVhwoQC2y4AACgZilUQyo/4+HidPXtW8fHxstlsiouLkySFh4fLz89PO3bsUNu2bRUdHa0hQ4YoMTFRkuTu7l6gYQsAALgulw1CY8eO1axZs+yPmzZtKklasWKFoqKi9OWXX+rUqVP67LPP9Nlnn9nrqlevrsOHDxd1uwAAoBhy+e8RKkx8jxAAAK4nP+/fxepTYwAAAEWJIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACzLZYPQhAkT1KpVK/n6+qpMmTI51p45c0ZVq1aVYRg6f/58kfQHAACKP5cNQqmpqerataueffbZXGv79u2rRo0aFUFXAADAlbhsEIqJidG///1vNWzYMMe66dOn6/z58xo2bFgRdQYAAFyFh7MbKEy7du3S+PHjtWHDBh08eNDZ7QAAgGKmxAahlJQU9ejRQ6+//rqqVauWpyCUkpKilJQU++Pk5OTCbBEAADhZsbo0NnLkSBmGkeO0Z8+ePG1r1KhRqlevnh577LE873/ixIkKDAy0T6GhoTc7FAAA4AIM0zRNZzdxzalTp3TmzJkca8LCwuTp6Wl/HBsbq8GDB2f6NFiTJk20fft2GYYhSTJNUxkZGXJ3d9fo0aMVExOTadtZnREKDQ1VUlKSAgICbmFkAACgqCQnJyswMDBP79/F6tJYUFCQgoKCCmRbX331lf744w/7402bNunJJ5/U6tWrVatWrSzX8fLykpeXV4HsHwAAFH/FKgjlR3x8vM6ePav4+HjZbDbFxcVJksLDw+Xn55cp7Jw+fVqSVK9evVy/dwgAAFiDywahsWPHatasWfbHTZs2lSStWLFCUVFRTuoKAAC4kmJ1j1Bxk59rjAAAoHjIz/t3sfrUGAAAQFEiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMty2SA0YcIEtWrVSr6+vipTpky2dbGxsWrUqJG8vb1VsWJF9e/fv+iaBAAAxZqHsxu4WampqeratasiIyM1Y8aMLGveeOMNTZkyRa+//rpatmypS5cu6fDhw0XbKAAAKLYM0zRNZzdxK2JjYzV48GCdP3/eYf65c+dUpUoVLVy4UPfee+9NbTs5OVmBgYFKSkpSQEBAAXQLAAAKW37ev1320lhuli5dqoyMDB07dkz16tVT1apV1a1bNx09etTZrQEAgGLCZS+N5ebgwYPKyMjQK6+8oqlTpyowMFBjxozRfffdp23btsnT0zPTOikpKUpJSbE/TkpKknQ1WQIAANdw7X07Txe9zGJkxIgRpqQcp927dzusM3PmTDMwMDDTtiZMmGBKMn/88Uf7vJMnT5pubm7m4sWLs9z/uHHjct0/ExMTExMTk2tMR48ezTV7FKszQkOHDlWfPn1yrAkLC8vTtkJCQiRJ9evXt88LCgpShQoVFB8fn+U6o0aN0pAhQ+yPMzIydPbsWZUvX16GYeRpv3mVnJys0NBQHT16tETef1TSxyeV/DEyPtdX0sdY0scnlfwxFtb4TNPUhQsXVLly5Vxri1UQCgoKUlBQUIFs66677pIk7d27V1WrVpUknT17VqdPn1b16tWzXMfLy0teXl4O83L6aH5BCAgIKJF/ua8p6eOTSv4YGZ/rK+ljLOnjk0r+GAtjfIGBgXmqK1ZBKD/i4+N19uxZxcfHy2azKS4uTpIUHh4uPz8/1alTR506ddKgQYP0f//3fwoICNCoUaNUt25dtWnTxrnNAwCAYsFlg9DYsWM1a9Ys++OmTZtKklasWKGoqChJ0ieffKJ///vf6tChg9zc3HTPPfdo8eLFKlWqlDNaBgAAxYzLBqHY2FjFxsbmWBMQEKAZM2Zk+4WLzuTl5aVx48ZluhRXUpT08Uklf4yMz/WV9DGW9PFJJX+MxWF8Lv+FigAAADerxH6hIgAAQG4IQgAAwLIIQgAAwLIIQgAAwLIIQoVo2rRpqlGjhry9vdWyZUtt3Lgxx/p58+apbt268vb2VsOGDfX9998XUac3Jz/ji42NlWEYDpO3t3cRdps/q1atUseOHVW5cmUZhqH58+fnus7KlSt1++23y8vLS+Hh4bl+qtHZ8jvGlStXZjqGhmEoMTGxaBrOp4kTJ+qOO+6Qv7+/KlasqM6dO2vv3r25rucqr8ObGZ8rvQ6nT5+uRo0a2b9oLzIyUj/88EOO67jKsbsmv2N0peOXlUmTJskwDA0ePDjHuqI+jgShQjJ37lwNGTJE48aN0+bNm9W4cWNFR0fr5MmTWdavW7dOPXr0UN++fbVlyxZ17txZnTt31o4dO4q487zJ7/ikq19nkJCQYJ+OHDlShB3nz6VLl9S4cWNNmzYtT/WHDh1Shw4d1KZNG8XFxWnw4MH6xz/+oR9//LGQO715+R3jNXv37nU4jhUrViykDm/NTz/9pP79++vnn3/W0qVLlZaWpvvvv1+XLl3Kdh1Xeh3ezPgk13kdVq1aVZMmTdKvv/6qX375RW3btlWnTp20c+fOLOtd6dhdk98xSq5z/G60adMmffDBB2rUqFGOdU45jvn4TVTkQ4sWLcz+/fvbH9tsNrNy5crmxIkTs6zv1q2b2aFDB4d5LVu2NJ9++ulC7fNm5Xd82f04riuQZH7zzTc51gwfPtxs0KCBw7zu3bub0dHRhdhZwcnLGFesWGFKMs+dO1ckPRW0kydPmpLMn376KdsaV3sdXi8v43Pl16FpmmbZsmXNjz76KMtlrnzsrpfTGF31+F24cMGsXbu2uXTpUvOee+4xBw0alG2tM44jZ4QKQWpqqn799Ve1a9fOPs/NzU3t2rXT+vXrs1xn/fr1DvWSFB0dnW29M93M+CTp4sWLql69ukJDQ3P9V4+rcaXjd6uaNGmikJAQ3XfffVq7dq2z28mzpKQkSVK5cuWyrXHl45iX8Umu+Tq02WyaM2eOLl26pMjIyCxrXPnYSXkbo+Sax69///7q0KFDpuOTFWccR4JQITh9+rRsNpsqVarkML9SpUrZ3k+RmJiYr3pnupnxRURE6OOPP9a3336rzz77TBkZGWrVqpV+//33omi50GV3/JKTk/XHH384qauCFRISovfff19fffWVvvrqK4WGhioqKkqbN292dmu5ysjI0ODBg3XXXXfptttuy7bOlV6H18vr+Fztdbh9+3b5+fnJy8tLzzzzjL755hvVr18/y1pXPXb5GaOrHT9JmjNnjjZv3qyJEyfmqd4Zx9Flf2IDriUyMtLhXzmtWrVSvXr19MEHH+ill15yYmfIq4iICEVERNgft2rVSgcOHNCbb76pTz/91Imd5a5///7asWOH1qxZ4+xWCkVex+dqr8OIiAjFxcUpKSlJX375pXr37q2ffvop26DgivIzRlc7fkePHtWgQYO0dOnSYn1TN0GoEFSoUEHu7u46ceKEw/wTJ04oODg4y3WCg4PzVe9MNzO+G5UqVUpNmzbV/v37C6PFIpfd8QsICJCPj4+Tuip8LVq0KPbhYsCAAVq0aJFWrVqlqlWr5ljrSq/Da/IzvhsV99ehp6enwsPDJUnNmjXTpk2bNHXqVH3wwQeZal3x2En5G+ONivvx+/XXX3Xy5Endfvvt9nk2m02rVq3Su+++q5SUFLm7uzus44zjyKWxQuDp6almzZpp2bJl9nkZGRlatmxZttd+IyMjHeolaenSpTleK3aWmxnfjWw2m7Zv366QkJDCarNIudLxK0hxcXHF9hiapqkBAwbom2++0fLly1WzZs1c13Gl43gz47uRq70OMzIylJKSkuUyVzp2OclpjDcq7sfv3nvv1fbt2xUXF2efmjdvrp49eyouLi5TCJKcdBwL7TZsi5szZ47p5eVlxsbGmrt27TKfeuops0yZMmZiYqJpmqb5+OOPmyNHjrTXr1271vTw8DAnT55s7t692xw3bpxZqlQpc/v27c4aQo7yO76YmBjzxx9/NA8cOGD++uuv5qOPPmp6e3ubO3fudNYQcnThwgVzy5Yt5pYtW0xJ5htvvGFu2bLFPHLkiGmapjly5Ejz8ccft9cfPHjQ9PX1NZ977jlz9+7d5rRp00x3d3dz8eLFzhpCrvI7xjfffNOcP3++uW/fPnP79u3moEGDTDc3N/O///2vs4aQo2effdYMDAw0V65caSYkJNiny5cv22tc+XV4M+NzpdfhyJEjzZ9++sk8dOiQuW3bNnPkyJGmYRjmkiVLTNN07WN3TX7H6ErHLzs3fmqsOBxHglAheuedd8xq1aqZnp6eZosWLcyff/7Zvuyee+4xe/fu7VD/xRdfmHXq1DE9PT3NBg0amN99910Rd5w/+Rnf4MGD7bWVKlUyH3zwQXPz5s1O6Dpvrn1U/Mbp2ph69+5t3nPPPZnWadKkienp6WmGhYWZM2fOLPK+8yO/Y3z11VfNWrVqmd7e3ma5cuXMqKgoc/ny5c5pPg+yGpskh+Piyq/DmxmfK70On3zySbN69eqmp6enGRQUZN577732gGCarn3srsnvGF3p+GXnxiBUHI6jYZqmWXjnmwAAAIov7hECAACWRRACAACWRRACAACWRRACAACWRRACAACWRRACAACWRRACAACWRRACYDmvvPKK/Pz87NMrr7zi7JYAOAlfqAjAcs6ePauzZ8/aH5crV07lypVzYkcAnIUgBAAALItLYwAsZfHixSpdurQyMjLs83bs2CHDMHT69GkndgbAGQhCACxly5Ytuu222+Tm9r///cXFxaly5cqqUKGCEzsD4AwEIQCWEhcXp8aNGzvM27p1a6Z5AKyBIATAUrZs2aJGjRo5zMsqHAGwBoIQAMu4dOmSDhw44BB6MjIytGXLFoIQYFEEIQCWcejQIWVkZKhu3br2eT/++KPOnDlDEAIsiiAEwDLKly8vwzC0adMmSdLPP/+sAQMGyNvbW3Xq1HFydwCcge8RAmApEyZM0JQpU+Tv7682bdooODhYy5Yts4cjANZCEAIAAJbFpTEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZ/w+8tOHeAnY8SwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(7)\n",
    "plt.title(\"Gain\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    gain,\n",
    "    linewidth=1.5,\n",
    "    linestyle=\"-\",\n",
    "    marker=\"o\",\n",
    "    label=\"Buck converter static gain\",\n",
    ")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    HR.dot(model.theta),\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX model gain\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{g}$\")\n",
    "plt.ylim(-16, 0)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Static function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.471991600Z",
     "start_time": "2023-07-11T17:36:25.383278600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(8)\n",
    "plt.title(\"Static Curve\")\n",
    "plt.plot(Uo, Yo, linewidth=1.5, label=\"Static curve\", linestyle=\"-\", marker=\"o\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    QR.dot(model.theta),\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX ​​static representation\",\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.xlabel(\"$\\\\bar{y}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pareto-set solutions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.557244700Z",
     "start_time": "2023-07-11T17:36:25.473992800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(9)\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.plot3D(J[0, :], J[1, :], J[2, :], \"o\", linewidth=0.1)\n",
    "ax.set_title(\"Optimum pareto-curve\", fontsize=15)\n",
    "ax.set_xlabel(\"$J_{ls}$\", fontsize=10)\n",
    "ax.set_ylabel(\"$J_{sg}$\", fontsize=10)\n",
    "ax.set_zlabel(\"$J_{sf}$\", fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.561257100Z",
     "start_time": "2023-07-11T17:36:25.558245400Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  1.42867821,   0.55147249,   0.40449005, -12.60549001,\n",
       "        12.25730092,   8.32739876, -11.41573694,   3.08460955])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta[position, :]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following table show the results reported in ‘IniciacaoCientifica2007’ and the ones obtained with SysIdentPy implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| Theta       | SysIdentPy   | IniciacaoCientifica2007       |\n",
    "|-------------|--------------|-------------------------------|\n",
    "| $\\theta_1$  | 0.5514725    | 0.549144                      |\n",
    "| $\\theta_2$  | 0.40449005   | 0.408028                      |\n",
    "| $\\theta_3$  | 1.42867821   | 1.45097                       |\n",
    "| $\\theta_4$  | -12.60548863 | -12.55788                     |\n",
    "| $\\theta_5$  | 8.32740057   | 8.1516315                     |\n",
    "| $\\theta_6$  | -11.41574116 | -11.09728                     |\n",
    "| $\\theta_7$  | 12.25729955  | 12.215782                     |\n",
    "| $\\theta_8$  | 3.08461195   | 2.9319577                     |\n",
    "\n",
    "where:\n",
    "\n",
    "$\n",
    "E_{Scilab} =    17.426613\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "E_{Python} = 17.474865\n",
    "$\n",
    "\n",
    "#### Note: as mentioned before, the order of the regressors in the model change, but it is the same structure. The tables shows the respective regressor parameter concerning `SysIdentPy` and `IniciacaoCientifica2007`,  but the order `θ₁`, `θ₂` and so on are not the same of the ones in model.final_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.565769100Z",
     "start_time": "2023-07-11T17:36:25.561257100Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R matrix:\n",
      "[[1 0 0 0 0 0 0 0]\n",
      " [0 1 1 0 0 0 0 0]\n",
      " [0 0 0 1 1 0 0 0]\n",
      " [0 0 0 0 0 1 1 1]]\n",
      "qit matrix:\n",
      "[[0 0]\n",
      " [1 0]\n",
      " [0 1]\n",
      " [0 2]]\n"
     ]
    }
   ],
   "source": [
    "R, qit = mult2.build_linear_mapping()\n",
    "print(\"R matrix:\")\n",
    "print(R)\n",
    "print(\"qit matrix:\")\n",
    "print(qit)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "model's structure that will be utilized (‘IniciacaoCientifica2007’):\n",
    "\n",
    "$\n",
    "y(k) = \\theta_1 y(k-1) + \\theta_2 y(k-2) + \\theta_3 + \\theta_4 u(k-1) + \\theta_5 u(k-1)^2 + \\theta_6 u(k-2)u(k-1)+\\theta_7 u(k-2) + \\theta_8 u(k-2)^2\n",
    "$\n",
    "\n",
    "$\n",
    "q_i = \n",
    "\\begin{bmatrix}\n",
    "0 & 0\\\\\n",
    "1 & 0\\\\\n",
    "2 & 0\\\\\n",
    "2 & 2\\\\ \n",
    "\\end{bmatrix}\n",
    "$\n",
    "$ = $\n",
    "$\n",
    "\\begin{bmatrix}\n",
    "1\\\\\n",
    "\\overline{y}\\\\\n",
    "\\overline{u}\\\\\n",
    "\\overline{u^2}\n",
    "\\end{bmatrix}\n",
    "$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and:\n",
    "\n",
    "$\n",
    "R = \n",
    "\\begin{bmatrix}\n",
    "term/\\theta & \\theta_1 & \\theta_2 & \\theta_3 & \\theta_4 & \\theta_5 & \\theta_6 & \\theta_7 & \\theta_8\\\\\n",
    "1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "\\overline{y} & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "\\overline{u} & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0\\\\\n",
    "\\overline{u^2} & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "consistent with matrix R:\n",
    "\n",
    "R = [0 0 1 0 0 0 0 0;1 1 0 0 0 0 0 0;0 0 0 1 0 0 1 0;0 0 0 0 1 1 0 1]; // R \n",
    "\n",
    "or:\n",
    "\n",
    "$ \n",
    "R = \n",
    "\\begin{bmatrix}\n",
    "0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
    "0 & 0 & 0 & 1 & 0 & 0 & 1 & 0\\\\\n",
    "0 & 0 & 0 & 0 & 1 & 1 & 0 & 1\n",
    "\\end{bmatrix}\n",
    "$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Biobjective optimization\n",
    "\n",
    "### An use case applied to Buck converter CC-CC using as objectives the static curve information and the prediction error (dynamic) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.568942Z",
     "start_time": "2023-07-11T17:36:25.566771800Z"
    }
   },
   "outputs": [],
   "source": [
    "bi_objective = AILS(\n",
    "    static_function=True, static_gain=False, final_model=final_model, normalize=True\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the value of theta with the lowest mean squared error obtained through the routine in Scilab was:\n",
    "\n",
    "$\n",
    "W_{LS} = 0.9931126\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "W_{SF} = 0.0068874\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.660520200Z",
     "start_time": "2023-07-11T17:36:25.571454900Z"
    }
   },
   "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>w1</th>\n",
       "      <th>w2</th>\n",
       "      <th>J_ls</th>\n",
       "      <th>J_sg</th>\n",
       "      <th>||J||:</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.990080</td>\n",
       "      <td>0.009920</td>\n",
       "      <td>0.990863</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.990939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.987127</td>\n",
       "      <td>0.012873</td>\n",
       "      <td>0.990865</td>\n",
       "      <td>0.987032</td>\n",
       "      <td>0.990939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.984182</td>\n",
       "      <td>0.015818</td>\n",
       "      <td>0.990867</td>\n",
       "      <td>0.974307</td>\n",
       "      <td>0.990939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.981247</td>\n",
       "      <td>0.018753</td>\n",
       "      <td>0.990870</td>\n",
       "      <td>0.961803</td>\n",
       "      <td>0.990940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.978320</td>\n",
       "      <td>0.021680</td>\n",
       "      <td>0.990873</td>\n",
       "      <td>0.949509</td>\n",
       "      <td>0.990941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995</th>\n",
       "      <td>0.002555</td>\n",
       "      <td>0.997445</td>\n",
       "      <td>0.999993</td>\n",
       "      <td>0.000072</td>\n",
       "      <td>0.999993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1996</th>\n",
       "      <td>0.002547</td>\n",
       "      <td>0.997453</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>0.000072</td>\n",
       "      <td>0.999994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1997</th>\n",
       "      <td>0.002540</td>\n",
       "      <td>0.997460</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>0.000071</td>\n",
       "      <td>0.999996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1998</th>\n",
       "      <td>0.002532</td>\n",
       "      <td>0.997468</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>0.000071</td>\n",
       "      <td>0.999998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999</th>\n",
       "      <td>0.002525</td>\n",
       "      <td>0.997475</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000070</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2000 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            w1        w2      J_ls      J_sg    ||J||:\n",
       "0     0.990080  0.009920  0.990863  1.000000  0.990939\n",
       "1     0.987127  0.012873  0.990865  0.987032  0.990939\n",
       "2     0.984182  0.015818  0.990867  0.974307  0.990939\n",
       "3     0.981247  0.018753  0.990870  0.961803  0.990940\n",
       "4     0.978320  0.021680  0.990873  0.949509  0.990941\n",
       "...        ...       ...       ...       ...       ...\n",
       "1995  0.002555  0.997445  0.999993  0.000072  0.999993\n",
       "1996  0.002547  0.997453  0.999994  0.000072  0.999994\n",
       "1997  0.002540  0.997460  0.999996  0.000071  0.999996\n",
       "1998  0.002532  0.997468  0.999998  0.000071  0.999998\n",
       "1999  0.002525  0.997475  1.000000  0.000070  1.000000\n",
       "\n",
       "[2000 rows x 5 columns]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = np.zeros((2, 2000))\n",
    "w[0, :] = np.logspace(-0.01, -6, num=2000, base=2.71)\n",
    "w[1, :] = np.ones(2000) - w[0, :]\n",
    "J, E, theta, HR, QR, position = bi_objective.estimate(\n",
    "    y=y_train, X=x_train, y_static=Yo, X_static=Uo, weighing_matrix=w\n",
    ")\n",
    "result = {\"w1\": w[0, :], \"w2\": w[1, :], \"J_ls\": J[0, :], \"J_sg\": J[1, :], \"||J||:\": E}\n",
    "pd.DataFrame(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.775500300Z",
     "start_time": "2023-07-11T17:36:25.662525800Z"
    }
   },
   "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>Regressors</th>\n",
       "      <th>Parameters</th>\n",
       "      <th>ERR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1.3873E+00</td>\n",
       "      <td>9.999E-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>y(k-1)</td>\n",
       "      <td>5.4941E-01</td>\n",
       "      <td>2.042E-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>y(k-2)</td>\n",
       "      <td>4.0804E-01</td>\n",
       "      <td>1.108E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>x1(k-1)</td>\n",
       "      <td>-1.2515E+01</td>\n",
       "      <td>4.688E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>x1(k-2)</td>\n",
       "      <td>1.2227E+01</td>\n",
       "      <td>3.922E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>x1(k-1)^2</td>\n",
       "      <td>8.1171E+00</td>\n",
       "      <td>8.389E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>x1(k-2)x1(k-1)</td>\n",
       "      <td>-1.1047E+01</td>\n",
       "      <td>5.690E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>x1(k-2)^2</td>\n",
       "      <td>2.9043E+00</td>\n",
       "      <td>3.827E-06</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Regressors   Parameters        ERR\n",
       "0               1   1.3873E+00  9.999E-01\n",
       "1          y(k-1)   5.4941E-01  2.042E-05\n",
       "2          y(k-2)   4.0804E-01  1.108E-06\n",
       "3         x1(k-1)  -1.2515E+01  4.688E-06\n",
       "4         x1(k-2)   1.2227E+01  3.922E-07\n",
       "5       x1(k-1)^2   8.1171E+00  8.389E-07\n",
       "6  x1(k-2)x1(k-1)  -1.1047E+01  5.690E-07\n",
       "7       x1(k-2)^2   2.9043E+00  3.827E-06"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.theta = theta[position, :].reshape(-1, 1)\n",
    "model.final_model = bi_objective.final_model\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model,\n",
    "        model.theta,\n",
    "        model.err,\n",
    "        model.n_terms,\n",
    "        err_precision=3,\n",
    "        dtype=\"sci\",\n",
    "    ),\n",
    "    columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n",
    ")\n",
    "r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.870151400Z",
     "start_time": "2023-07-11T17:36:25.708903700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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w448/2u6e+EPz5s3x66+/YuzYsbZ04PXq1cMDDzyArKwsDBgwwG+v7c51112Hzz//HJMmTUL37t2RnJyMwsJCGAwGXH311Xj22Wexd+9eWyASLLRaLb777jvMmDEDHTp0gE6ngyAIuOWWW/Djjz/i6aef9uq40dHR+OGHHzBt2jS0a9cO0dHREEURPXr0wLx58/Dtt9+6DT7btm2LdevWYciQIWjYsCEuXryIY8eO4dixY6isrFRUhoSEBPz0009YvHgxBg4ciLi4OFy+fBlNmjTBXXfdhXXr1uGNN97w6v0REfmbIDK3KxERERERkd/wThcREREREZEfMegiIiIiIiLyIwZdREREREREfsSgi4iIiIiIyI8YdBEREREREfkRgy4iIiIiIiI/iqrrAoQSi8WC06dPIy4uzq+LhRIRERERUXATRRFFRUVo2rQpNBr397IYdKlw+vRptGjRoq6LQUREREREQeLEiRNo3ry5230YdKkQFxcHwFqx8fHxdVwaIiIiIiKqK4WFhWjRooUtRnCHQZcK0pDC+Ph4Bl1ERERERKRo2hETaRAREREREfkRgy4iIiIiIiI/YtBFRERERETkR5zTRUREREQUYkRRRGVlJcxmc10XJWxptVpERUX5ZKkoBl1ERERERCHEZDIhNzcXJSUldV2UsGc0GpGSkgKdTler4zDoIiIiIiIKERaLBTk5OdBqtWjatCl0Op1P7sSQI1EUYTKZcP78eeTk5KBt27YeF0B2h0EXEREREVGIMJlMsFgsaNGiBYxGY10XJ6zFxMQgOjoax44dg8lkgsFg8PpYTKRBRERERBRianPXhZTzVT3z0yIiIiIiIvIjBl1ERERERER+xDldREREREQRyGwRsS0nD+eKytAozoAeaUnQapiUwx94p4uIiIiIKMJkZOei75yf8bdFWzFlxU78bdFW9J3zMzKyc/32mmPGjIEgCBAEAdHR0WjcuDFuvvlmfPDBB7BYLIqPs2TJEiQmJvqtnP7AoIuIiIiIKIJkZOdi0rIs5BaUOTx+pqAMk5Zl+TXwSk9PR25uLo4ePYrvv/8eN9xwA6ZMmYI77rgDlZWVfnvdusagK0yYLSK2HL6IVTtPYcvhizBbxLouEhEREREFgCiKKDFVKvpXVFaBad/+CbkzRemx6d/uQVFZhaLjiaK6c069Xo8mTZqgWbNm6NatG1544QWsWrUK33//PZYsWQIAePvtt9G5c2fExsaiRYsWmDx5Mi5fvgwAWL9+PR588EEUFBTY7ppNnz4dAPDxxx/j2muvRVxcHJo0aYJ7770X586d865SfYxzusJARnYuZqze43C1IiXBgGmDOyK9U0odloyIiIiI/K20woyOL//PJ8cSAZwpLEPn6T8o2n/PK7fCqKtdSDFo0CB07doVK1euxNixY6HRaPDOO+8gLS0NR44cweTJk/Hss8/ivffeQ+/evTF37ly8/PLL2L9/PwCgXr16AICKigrMnDkT7du3x7lz5/DUU09hzJgxWLNmTa3K5wsMukKcdHu45jUG6fbwvFHdGHgRERERUVDr0KEDdu3aBQB44oknbI+npqbi1VdfxcSJE/Hee+9Bp9MhISEBgiCgSZMmDsd46KGHbP9/xRVX4J133sF1112Hy5cv2wKzusKgK4SZLSJmrN7j8vawAGDG6j24uWMTZqIhIiIiClMx0VrseeVWRftuy8nDmA9/87jfkgevQ4+0JEWv7QuiKEIQrOera9euxaxZs7Bv3z4UFhaisrISZWVlKCkpgdFodHmMHTt2YPr06fjjjz9w6dIlW3KO48ePo2PHjj4pp7c4pyuEbcvJc5oAaU8EkFtQhm05eYErFBEREREFlCAIMOqiFP3r17YhUhIMcHU5XoB1mkq/tg0VHU8KlGpr7969SEtLw9GjR3HHHXegS5cu+Oqrr7Bjxw68++67AACTyeTy+cXFxbj11lsRHx+PTz75BL/99hu+/vprj88LFAZdIexckeuAy5v9iIiIiCi8aTUCpg223vWpGS5Jf08b3DGgo6R+/vln7N69G3fddRd27NgBi8WCt956Cz179kS7du1w+vRph/11Oh3MZrPDY/v27cPFixcxe/Zs9OvXDx06dAiaJBoAg66Q1ijO4NP9iIiIiCj8pXdKwbxR3dAkwfEcsUmCwe/5AMrLy3HmzBmcOnUKWVlZeP311zF06FDccccdeOCBB9CmTRtUVFTg3//+N44cOYKPP/4Y8+fPdzhGamoqLl++jJ9++gkXLlxASUkJWrZsCZ1OZ3vet99+i5kzZ/rtfajFOV0hrEdaElISDDhTUCY7r0uA9cujZDwuEREREUWO9E4puLljE2zLycO5ojI0irOeM/r7DldGRgZSUlIQFRWF+vXro2vXrnjnnXcwevRoaDQadO3aFW+//TbmzJmDqVOnon///pg1axYeeOAB2zF69+6NiRMnYuTIkbh48SKmTZuG6dOnY8mSJXjhhRfwzjvvoFu3bnjzzTcxZMgQv74fpQRRbXL9CFZYWIiEhAQUFBQgPj6+rosDoDp7IQCHwEv6ujB7IREREVH4KCsrQ05ODtLS0mAwcDSTv7mrbzWxAYcXhri6vD1MRERERESecXhhGJBuD7d+wbrw261XNcZ793VnmngiIiIioiDAO11hwj7ASkmIYcBFRERERBQkGHQRERERERH5EYMuIiIiIiIiP2LQFYZ8tDA4ERERERH5AIOuMCQ4rS9ORERERER1hUEXERERERGRHzHoCkMcXkhEREREFDwYdIUhxlxEREREFGnWr18PQRCQn5+v+DmpqamYO3eu38okYdAVhnini4iIiIgUOZUFLLnD+l8/GzNmDARBwMSJE522PfLIIxAEAWPGjPF7OeoCg64wJDDqIiIiIiIl/lgBHN0I7PosIC/XokULrFixAqWlpbbHysrKsHz5crRs2TIgZagLDLqIiIiIiEKZKAKmYuX/zu8Hjm0Bjm8Bsr+yHmP3l9a/j22xbld6LFFUVdRu3bqhRYsWWLlype2xlStXomXLlrjmmmtsj5WXl+Pxxx9Ho0aNYDAY0LdvX/z2228Ox1qzZg3atWuHmJgY3HDDDTh69KjT623atAn9+vVDTEwMWrRogccffxzFxcWqyuwLUQF/RfIL0a7B8z4XERERUQSpKAFeb1q7Y5RcAD5IV/+8F04DulhVT3nooYfw4Ycf4r777gMAfPDBB3jwwQexfv162z7PPvssvvrqKyxduhStWrXCP/7xD9x66604dOgQkpKScOLECQwfPhyPPPIIxo8fj+3bt+Pvf/+7w+scPnwY6enpePXVV/HBBx/g/PnzePTRR/Hoo4/iww8/VP9ea4F3usKE2aLuKgMRERERUV0YNWoUNm3ahGPHjuHYsWPIzMzEqFGjbNuLi4sxb948vPHGG/jLX/6Cjh07YtGiRYiJicHixYsBAPPmzUPr1q3x1ltvoX379rjvvvuc5oPNmjUL9913H5544gm0bdsWvXv3xjvvvIOPPvoIZWVlgXzLvNMVLsz2t3Z5q4uIiIgockQbrXec1DizS/7O1kMZQJMu6l5bpYYNG+L222/HkiVLIIoibr/9diQnJ9u2Hz58GBUVFejTp0/1y0RHo0ePHti7dy8AYO/evbj++usdjturVy+Hv//44w/s2rULn3zyie0xURRhsViQk5ODK6+8UnXZvcWgK0xYLNX/LzDqIiIiIoocgqB6iB+iYqr+RwPAUv3fqBj1x/LCQw89hEcffRQA8O677/rlNS5fvowJEybg8ccfd9oW6KQdDLrChFnlJEYiIiIiimCxDYF6jYD4ZkC3B4Csj4DCU9bHAyA9PR0mkwmCIODWW2912Na6dWvodDpkZmaiVatWAICKigr89ttveOKJJwAAV155Jb799luH523dutXh727dumHPnj1o06aN/96IQgy6woT9nC5mjCciIiIitxKaAU9kA1qd9eSx+4OA2QRE6QPy8lqt1jZUUKvVOmyLjY3FpEmT8MwzzyApKQktW7bEP/7xD5SUlODhhx8GAEycOBFvvfUWnnnmGYwdOxY7duzAkiVLHI7z3HPPoWfPnnj00UcxduxYxMbGYs+ePfjxxx/xn//8JyDvU8JEGmHCwkQaRERERKRGlL76ar0gBCzgksTHxyM+Pl522+zZs3HXXXfh/vvvR7du3XDo0CH873//Q/369QFYhwd+9dVX+Oabb9C1a1fMnz8fr7/+usMxunTpgl9++QUHDhxAv379cM011+Dll19G06a1zPToBUEUOS5NqcLCQiQkJKCgoMBlA6krFy6X49pX1wIAJg1sjefSO9RxiYiIiIjI18rKypCTk4O0tDQYDIa6Lk7Yc1ffamID3ukKE/Z3uiyMo4mIiIiIggaDrjBhn0iDMRcRERERUfBg0BUm7BNpcKFkIiIiIqLgwaArTNiv08XhhUREREREwYNBV5iwH17ITIZERERE4Y258ALDV/XMoCtMmB0SadRhQYiIiIjIb6KjowEAJSUldVySyCDVs1Tv3uLiyGHCfkghhxcSERERhSetVovExEScO3cOAGA0GiFIa22Rz4iiiJKSEpw7dw6JiYlOCzirxaArTJiZMp6IiIgoIjRp0gQAbIEX+U9iYqKtvmuDQVeYcAi6LG52JCIiIqKQJggCUlJS0KhRI1RUVNR1ccJWdHR0re9wSRh0hQn7u1tm3ukiIiIiCntardZnQQH5FxNphAkOLyQiIiIiCk4MusKEfaDFmIuIiIiIKHgw6AoTZov9/zPqIiIiIiIKFgy6wgSHFxIRERERBaeQC7qWLVuGCRMm4Nprr4Ver4cgCFiyZInb5+Tk5GDcuHFo1aoV9Ho9GjdujBtuuAFffPFFYAodAFyni4iIiIgoOIVc9sKXXnoJx44dQ3JyMlJSUnDs2DG3+//4448YNmwYAGDw4MG44oorcOnSJezatQtr167FPffcE4BS+x9TxhMRERERBaeQC7ref/99tG3bFq1atcLs2bMxdepUl/seP34cd999N5o1a4a1a9eiZcuWDtsrKyv9XdyAMTNlPBERERFRUAq5oOumm25SvO/rr7+OwsJCfP31104BFwBERYXc23fJYrHPXsigi4iIiIgoWIRP1FGDKIr44osv0KBBAwwaNAg7duzAL7/8AovFgquvvhqDBg2CRhNyU9pcckykUYcFISIiIiIiB2EbdOXk5CAvLw/XXnstJkyYgIULFzpsv+aaa/Dtt9+iefPmLo9RXl6O8vJy29+FhYV+K29t2SfPYMp4IiIiIqLgET63emo4d+4cAOD333/H8uXL8eGHHyIvL8+WyfD333/H3Xff7fYYs2bNQkJCgu1fixYtAlF0r9iv08XshUREREREwSNsgy5LVQo/s9mMmTNnYsyYMahfvz5SU1OxcOFCXH/99fj111+xadMml8eYOnUqCgoKbP9OnDgRqOKrZmbKeCIiIiKioBS2QVdCQoLt/4cMGeK0ffDgwQCA7du3uzyGXq9HfHy8w79gZWHKeCIiIiKioBS2QVfr1q2h1WoBAImJiU7bpcdKS0sDWCr/cUykwTtdRERERETBImyDLoPBgN69ewMA9uzZ47Rdeiw1NTWQxfIbDi8kIiIiIgpOYRt0AcCkSZMAANOnT3fIQrhv3z4sWbIEcXFxSE9Pr6vi+ZSFKeOJiIiIiIJSyKWMf//9923JL3bv3m17bP369QCAvn37YuzYsQCAv/71r1i5ciW+/PJLdO3aFbfeeisKCgrw1VdfoaysDB999BHq169fJ+/D18xMGU9EREREFJRCLujatGkTli5d6vBYZmYmMjMzbX9LQZcgCPj000/Ru3dvLF68GAsWLIBer0fv3r3xwgsvYMCAAQEtuz/Z3+kSObyQiIiIiChoCCLP0BUrLCxEQkICCgoKgi6T4ZLMHExfbZ2n1qlZPP77WL86LhERERERUfhSExuE9ZyuSGK2C52ZMp6IiIiIKHiE3PBCkldpro60zheV4asdJ5FfYkJSPT2axBvQIy0JWo1QhyUk8g2zRcTWwxex5cgFAAJ6tW6Anlc0YPsmItWk/mTjoXPYdaIAZZVm6LUaCIKAskozYqKj0LV5Ivq0TWY/Q0S1wuGFKgTr8MKM7Fw88+UuFJVVutwnJcGAaYM7Ir1TSgBLRuRbGdm5eH7lbuSXVDg8nmiMxuzhndm+iUgxV/2JK+xniKgmDi+MIBnZuZi0LMttwAUAuQVlmLQsCxnZuQEqGZFvZWTnYuKyLNkTpPySCkxk+yYihdz1J66wnyGi2mDQFcLMFhEzVu+BmluVM1bvYUp5Cjlmi4jp3/7pcT+2byLyRGl/4gr7GSLyBoOuELYtJw+5BWWK9xdhveO1LSfPf4Ui8oNtOXk4U1jucT+2byLyRGl/4gr7GSLyBoOuEHauSHnA5YvnEdUVNW2W7ZuI3PFFH8F+hojUYtAVwhrFGQL6PKK6oqbNsn0TkTu+6CPYzxCRWgy6QliPtCSkJCjv+AVYsxj2SEvyX6GI/KBHWhKaxOs97sf2TUSeKO1PXGE/Q0TeYNAVwrQaAdMGd4SaVUOmDe7IdUYo5Gg1AqYPucrjfmzfROSJ0v7EFfYzROQNBl0hLr1TCuaN6gZdlPuPMiXBgHmjunF9EQpZ6Z1SMH9UNyQao5221TdGYz7bNxEpJPUnWhVnQexniKg2ouq6AFR76Z1S0KnpEWQdz5fdPm9UN9zSsQmvzFHIS++UgpuubIy2L35vWyph+uCOuL9XKts3Eali/e1MwB8nCwAA+igBVzWNh16rgSAIKDZV4o+ThQCAJQ9eh35tG7KfISKvMegKEyUms8ttVzaJ5w8FhY1Ki+iwNl3Hpgls30TkFUGo7jtaN4zDysl9bX9Xmi1o8+L3AICuzRPZzxBRrXB4YZhwF3QVmyoDWBIi/6rZ1ivMljoqCRGFE6FGTBWl1UBfNXSfv6NEVFsMusJEiZsfBHcBGVGoKS53bOsmBl1E5CVPF21i9dYBQfwdJaLaYtAVJorL3dzpKucVOgofTne6Khl0EZF3PAVTRp0WAH9Hiaj2OKcrBJktIrYevoiNh85h14kClFWYUVrh+ofj32sPYNGGIzDqteiR2gCje6d6zHZIVNfMFhGbD17Al1kncPJSKXRaAYIg4OLlcof9vtx+Av/94xQuXDahrNKMmOgodG2eiD5tk9Hzigach0FEAABTpQVLN+dgW04eissqAEHAsYvFtu2Xyypgtoi2PsNsEQHROoP0H9/vhSAIKKs0wxClRcM4A5onxaB3a/YzRKSMIIqi6Hk3AoDCwkIkJCSgoKAA8fHxdVKGjOxcPL9yN1qU7serUYsBAXip4mHsFq9QfAxBAMb3S8PU2zr6saRE3svIzsVTn/9R6yE9icZozB7emSmeiSLcrDV7sHBDDjyd8Eh9BgA8v3I38ksqPB6b/QxR5FITG/B2RwjJyM7FxGVZyC+pwHDtRnTV5qCrJgfDtRtVHUcUgQUbcjBrzR4/lZTIe1I798UcivySCkxcloWM7FwflIyIQtGsNXuwQEHABVT3GdJvrRLsZ4hICQZdIcJsETF/1TrcIOzAUM0m3K39xbbtTu0mDNVswiAhC81wXvExF23MgYnzYSiImC0ipq3K9vlxZ6zeYx0qREQRxVRpwcINOQF5LfYzROQO53SFiG05efimYhKgd96WKBTjX7r3bH+nli1XdEyLCHy85Sge7qd8aCKRP23LycPZIpPPj5tbUIZtOXno1bqBz49NRMHr4y1HFd3h8gX2M0TkDu90hYhzRWWYYpqMStH1ZF2zKGCKabKq4x7LK6lt0Yh85lxRWUgem4iCU6B/49jPEJErDLpCRKM4A1ZZ+mKo6VWX+3xiHgRARDfsV3zcVklGH5SOyDcaxRlC8thEFJwC/RvHfoaIXGHQFSJ6pCWhSbzM2EI7D0T9hH/p5mGlYYaiY2oE4P5eqT4oHZFv9EhLQuM4nc+Pm5JgQI+0JJ8fl4iC2/29UhGoZO7sZ4jIHQZdIUKrETB9yFW4KMajVIyGq0T/ogj8t7KHooQa4/qlcb0uCipajYAZQzv5/LjTBnfkOjpEEUgXpcH4/mkBeS32M0TkDs+4Q0h6pxRMH3Uz+muWQnDRrwsCcEfUNmQaprg8jiAAE/pznS4KTumdUjB/VDfofXBBoL4xGvNHdeP6OUQRbOptHTFBYeAl9RnzR3VDojFa1XPYzxCRO1wcWYVgWBwZsKbVPvvpI2h68BPZ7RYAa5IfxPb4W3ApuglEUcQfJwtwLK8UnZvG46vJfXiHi4Leqt9PYcpnO5FkjEJacj3otAIEQUBZpRkx0VEoMVXi9xMFAIC+bZJgsQCXyyuw61QRAGDZQz3Qq00yrzwTEQDg6S924ssdp3BFshFN4vSAXX/StXki+rRNRs8rGtj6DLNFxNbDF5F5+DxO5pXgwmUTCssqkH26yHbMcf3T8Hz6lexniCKUmtiAKeNDkFYjoOmAhwEXQZcGwB0XPsQdFz4EntgNJLbEx1uO4v9W/YnmSUYGXBQSyiqtiyNf0zIJi8dc57T9X2sP2oKu/7ujE9o3iUOpyYwrX84AAHRLrc8TISKyKa+0XmMe1TMVD/X1fOdLqxHQp20y+rRNtj2WX2LC1a/8aPu7WUIM+xkiUoRn36GqeXeg3zOe95vbGQBg1Fnj62KT2Z+lIvKZ4nJrWzXq5a8NRUdVn+gYdVoAgCFaYxt6Kz2fiAgASsorAQCxeq3Xx5B+SyX8TSUipRh0hbJrHwSi3KSnFbRA+mwA1T8y0o8OUbArMVWdIOnkT5C0dhMbY6sCM0EQEFt1UiQ9n4gIAIqr+oSagZMaNUeKsJ8hIqUYdIWyhGZApZuFGEUzkPE8AN7potAjtVVXJ0iVlurpqEa7wEz6f97pIiJ7JVV9Sm3udNXEfoaIlOKcrlCXPgfIeM719hteAvKPwxAdCwA4duEyxn+0HdelJmF071TO76KgY7aI2HzwAjKycwEA+88UwlRpcWqrZRXVJzu/H7+EHmkNAMC2Js/s7/eic/ME9G7tODme1JM+ky+zTuBEXglMZtG6nlrV3cbyCgu6yCQiIAoGpkoLlm7OwaGz1gQYh85exoB2jbxqp2aLY+6xH/48g4ISE4Z3a47eTNxDRG4we6EKwZK90Mn0BI+7DDL/G0cqGjg8JgjA+H5MHU/BIyM7F099/oftirSkZlvNyM7F37/4w+Eqc6IxGqZKi9NzpW2zh3dmSmcvuPpMXGFdUzCZtWYPFm7IQc0TnVidFm+N6KqqnWZk52LG6j3ILZAfYeLNMYkotKmJDRh0qRC0QdcvbwDrXvW4W2rZctnHuWYXBYOM7FxMXJbldp8J/dNwTcv6mLQsy+kkSgmupaOOks/EFdY11bVZa/ZgwYYct/sobacZ2bmK+x22faLIoSY24NiycHD1vbV6+qKNOTBVWnxUGCL1zBYR01Zle9xv4YYcTP92j1cBFwDMWL3HaXgQyVP6mbjCuqa6ZKq0YKGHgAtQ1k7NFhEzVivvd9j2iUgOg65wkNAMGDDV5WaLCLxRcTea4bzL7R9vOeqnwhF5ti0nD2eLTB73EwGcKXSTPMaD3IIybMvJ8/r5kUTpZ+IK65rq0sdbjioKkpS00205eS6HFHp7TCKKPAy6wkW3+11u0gjAM9FfItMwxWXgdSyvxF8lI/LoXJH3gVQwv1Yo80U9sa6prqj5TfPUTr1px2z7RFQTg65wkdAM6PmIx90yDVNkH2+VZPR1iYgUaxTnZr25EH6tUOaLemJdU11R85vmqZ16047Z9omoJgZd4aTXI24XS64QBSyouM3pbpdGAO7vlernwhG51iMtyZqC3AMBQJN4A7xNypySYECPtCQvnx1ZlH4mrrCuqS7d3ytVUT+hpJ32SEtCSoLyIIptn4jkMOgKJx4WS44WREyIXuN0t2tcvzSu10V1SqsRMGNoJ4/7je+fhulDrJk2vQm8pg3uyHV0FFL6mbjCuqa6pIvSYHz/NI/7KWmnWo2AaYM7Ku5z2PaJSA7PtMNN+hy3m82igCmmyQCsax8xXTwFi/ROKZg/qht0WueTFfu2mt4pBfNGdUOTGleeE43RMOq0sseub4xmGmcvSJ9JtMxn4grrmoLF1Ns6YoKLwCtWr1XVTqV+x90dL7XHJKLIwnW6VAjadbpq2rcGWPE32U2fxt6PT/LaIya+IT55ZgTvcFHQmbf+EOZk7EeL+gZcmZKA61KTMLp3qlNbNVtEbMvJw7miMjSKqx7Os/XwRWQePo95649ABPCvv16NO7o05ZXnWnjzh/34z8+HkNogBklGHU4VlOFsYTkAoFWSAafzy1BhAV4f1gkje7RkXVNQuW/RFmQezkOnpvFo26gehndrjt5tkr1qp1K/c/pSCbJOXML6/edxKr8Mw65uirdGXM22TxRh1MQGUQEqEwVSfFOXm/5W/DH+pgdQDiDqrwErEpFSpRXWNeMGtm+MmcNcD2/TagT0at3A6fE+bZPRp20yPt12ApdKKtAxJZ4nQrVUZjIDANI7NcXzf+mAz387gWe/2gUAGHFdK3yx/QSOXixBuyZxrGsKOmWV1mvLjw5qi/ROTWp1rOp+pwHuurYFZq3ZiwUbjqBhnJ5tn4jc4m2OcBTbENDVc7m5QtTgA/19QP7xABaKSJmS8koAgFEvP1RQKaPOek2puCpgIO9JdRhbNXzT/rOJ1WlZ1xTUiqv6lNha9ily2PaJSCkGXeEooRnw7BGXm6MFCx4q/wSY2zmAhSJSpvoEv3Y34qUTLCmII++VmKRA2PqZ2H82Rn0U65qCWklVn2KsZZ8ih22fiJRi0BWuovTADS+53FwJLTB8UQALRKSM7QTfRVIMpXgF2neKy2vc6dLZ3+mKYl1TUJP6FN7pIqK6xDld4ezqe4Gt7wKll5w2DS1/BYm/toRx52/okdpANlEBUaCYLSI2H7yAL7NOYN3+CwCA0/mlMFtEr+dJxERbnzf3x33419oDVWvnsK27Y7aI2Hr4IjYeOoddJwpQWlEJU6WIoxeLAQDHL5bAbBFhiK4+eT2eVwxD1S/Jog2H8U3WSXRpnog+bZPR84oGnOdCdcJUacHSzTnYlpOHi5dNAIC9pwvRtpFv5x3GRFv7kqxjF3H3vM1oXj8Gd6lI1CGXEIjfGaLwxOyFKoRM9kJ7J34DFt9k+1OEdX2j28tfw59idSpdQQDG92P6eAq8jOxcPPX5H7YhQPZidVq8NaKr6hTMs9bswYINObLb2NblZWTn4vmVu5FfUuF2P32UBvooDQrLPA+nSjRGY/bwzkyhTQE1a80eLNyQA7mTG1+2yYzsXExZsRPllRanbUr6rozsXMxYvQe5BdXra6YkGDBtcEd+Z4hChJrYgJd7w1n+cetdLkN924+PWdQgT6yHZOSjGc7bdhVFYMGGHMxas6duykoRKSM7FxOXZckGXIB1yM7EZVnIyM5VfEx3ARfAti5H+hw8BVwAUF5pURRwAUB+SYXqz4+oNqTvv6uryb5qk9J3Ri7gAjz3XRnZuZi0LMsh4AKAMwVlmMTvDFFYYtAVzuZ2BpbfA5RVDy/UwoIk4TKW6t9ApmGK01MWbcyBycWPCJEvmS0ipq3KVrTvjNV7YLZ4vilvqrRgoZuAyx7bupXZImL6t3/69TWUfn5EtaHm+1+bNlnbvstsETFj9R7ZwFB6jN8ZovDDoCucDV8EaKyTLaQR4kLV/1SIWkwxTXZ6ikUEPt5yNDDlo4i2LScPZ4tMivbNLSjDtpw8j/t9vOWoyyvcNbGtW23LycOZqoWO/UXp50dUG2q+/7Vpk7Xtu7bl5Dnd4bIn1rJ8RBScmEgjnHUZASS3AxYOcNo0zPSKw5wue8fySvxdMiKcK3J90uHt/mrbLtu6+s8h2F+HIpfa77O3bbK2fZfS5/M7QxReeKcrQkijFJSkTWmVZPRvYYgANIoz+Hx/tW2XbV395xDsr0ORS+332ds2Wdu+S+nz+Z0hCi8MusJdbEOIsY1wWmgMwDq8sETU4aIon2FFIwD390oNYAEpUvVIS0LjOJ2ifa3p3pM87nd/r1QoTbbMtm7VIy0JTeL1fn0NpZ8fUW2o+f7Xpk3Wtu/qkZaElASDy7IKtSwfEQUnBl3hTjRD+OsnuHTNI7aHSmBAA6EQnYQjDhkMAWBcvzSuYUQBodUImDG0k6J9pw3uqGjtGl2UBuP7yw+brYlt3UqrETB9yFV+fQ2lnx9Rbaj5/temTda279JqBEwbbF2yomYJBDfPI6LQxnW6VAjJdbqmJzg9ZBGtV/klqWXLuXYR1ZmM7Fw8sWInyuTWutFr8dY93q3T5WqdHrZ1eRnZuXj2y10e08HrozSI0WkVpZevb4zGLK7TRQHmbtkIX7ZJt2sMKui7uE4XUehTExsw6FIhJIOuXZ8D30wCLM4nUpXQ4u+mCTjVYjCWj+vJq/5UZ37eexYPLd2OOL0W7ZvEo3n9GNzVrTl6t0n2+mqvqdKCpZtz8OuRi9h9uhBnC8txVdM4fD25L9u6CwfOFuGWf25AlGAdAlVaUQlTpQhDtBYtkoy2zwSwZmA7V1SGRnEGXN0iEcu2HkXmwfNYf/AiAODjh3rU6vMjqo3PfzuOZ7/ajSRjFDqmJKBL80T0aZuMnlc08GmbNFtEbD54AV9mncDavWdRbLLg8RtaY8rN7RW9jtkiovULawAAT9zUFo8NasvvDFEIURMbMHthuHOTwfCrbkuxarMGIxrG8iSU6pR0l+vKlAR8PrGXT46pi9JgXP/WGNe/NT7ddhxTV+5GSoKRbd2N8grr59Aw3oDl491/Dr1aN3D4e1z/1ri/Vyo6/F8GAODqlok8eaS6U7U+ytUtk/DBmOv89jJajYB+7RuiX/uGGP3BNvxy4DxaJtdT3Pbt92vXOI7fGaIwxrOPCBYTrQUAFMsMjSAKpOJy651Yo17rl+MbddbjlpjcD52LdMVV9SPVl1r6KI3tpFFuyBVRoEgLCwcyiInVq+9nLHYLIDPcIgpvDLoiQWxDoF4jQG83vys6BkK9hgCAknKeiFLdkk7QY3X+ufkuHZcXGNyTThZj9d59DoIg2AK2YvYrVIcqq4KZqAAGXUapnylX3s+Y7WZ4CIy6iMJayAVdy5Ytw4QJE3DttddCr9dDEAQsWbJEdt/p06dDEASX/44ePRrQstcZ0QyM/AS4wm6IYXQsEi0F6CQcQUzJ6borGxFqf4fFE+kOGi8wuCedLNbmc5ACXN7porpkNluHygb0TpcXd9TNFk6rJ4oUITen66WXXsKxY8eQnJyMlJQUHDt2zONzRo8ejdTUVKfHExMTfV/AYDS3s/NjJRfRb91d6KcHcB4Y/9FPuC41CaN7p3LOCwWUqdKCzIMXAABHLxbDVGnxeRs0RFlPhnILSvHm//ajV+sGPp9QH6rMFhFbD1/ExkPnsHbPOQDAhaJyrz4H6wmk9SRyzvd70aVFInq39n3yAiJXTJUWfLzlKL7PzgUAaGRzmPqHLtr6ffkm6yR+P3ZJUfIOi0MuM35HiMJZyGUvXLt2Ldq2bYtWrVph9uzZmDp1Kj788EOMGTPGad/p06djxowZWLduHQYOHFjr1w7J7IWA2wyGFaIWT1dMwCpLXwBMp02BNWvNHizamAP7i70awbqGlq/aYEZ2Lp75cheKaqRCTzRGY3aEpzPPyM7F8yt3y6Z/V9sXuDsW65oCQa4/AYAJ/f3/m+YuTb279l9UVoHO038AAMwf1R3pnZr4tZxE5FtqYoOQu6Vx0003oVWrVnVdjNDSZQQw9ifZTcNMr9gCLgAQRWDBhhzMWrMnUKWjCCWdpNQ8QbL4sA1mZOdi4rIsp4ALAPJLKjBxWRYyqq6IRxqpblytt6WmL/B0rEiva/I/V/0J4P/fNHcBF+C+/VvslifkzWCi8BZyQZc3NmzYgDlz5uCNN97AN998g8uXL9d1keqcRXTfuy/amAOTzGK1RL5gqrRg0UbXJylA7dug2SJi+rd/etxvxuo9ETevQmndAJ4/BzXHisS6Jv8LRH/i7rUXugm47Mm1f8dEGoy6iMJZRARd06ZNw/PPP49nn30Wd955J1q0aIGPPvrI4/PKy8tRWFjo8C9kxTa0/qvyp9gK58QEXBTlb4VaRODjLUcDVDiKNB9vOSp7Rdpebdvgtpw8nCks97hfbkEZtuXkef06oUhp3QCePwc1x4rEuib/C0R/4u61lV5GkGv/9kFYiM32ICKVwjro6tq1Kz744AMcOXIEpaWlyMnJwb///W8IgoAxY8bg22+/dfv8WbNmISEhwfavRYsWASq5HyQ0A578ExVaIwBgXuVg9C1/B2fQwOVTjuWVBKp0FGGUtq3atMFzRWV+2TccqH2/7j4HtceKtLom/wtEf+KrY9Zs//aJNCwMuojCWlgHXXfeeScefPBBpKWlwWAwIDU1FY8++ii++OILANZMiO5MnToVBQUFtn8nTpwIRLH9J0oPaHUAgKHazTAh2u3urZKMgSgVRSClbas2bbBRnMEv+4YDte/X3eeg9liRVtfkf4HoT3x1zJrt3/5OF0feEoW3sA66XLnxxhvRunVr7N692+2QQb1ej/j4eId/ISn/OHD6d+D0TkSZiwEAvTV/4iohB52EI2iG805P0QjA/b1SA1xQihT390r1OGm8tm2wR1oSmsTrPe6XkmBAj7Qkr18nFCmtG8Dz56DmWJFY1+R/gehP3L220plYcu3fPujifEei8BaRQRcAJCcnAwBKSiJgCN3czsDCgcDCARDM1uxi9VCG7/Qv4r/6l5BpmOL0lHH90rheF/mNLkqDcf3S3O5T2zao1QiYPuQqj/tNG9wx4taQUlo3gOfPQc2xIrGuyf8C0Z+4e+3x/d2/tkSu/XN4IVHkiMiz6uLiYvz555+IjY21BV9hbfgiQOO4DraUJKlC1GKKabLD44FY04Ro6m0dMUHmZEXjwzaY3ikF80d1Q6LReShtfWM05o/qFrFrR7mrG0BdX+DpWJFe1+R/rvoTAf7/TZNe29XlBHft3zGRhp8KSERBIcrzLqGpqKgIubm5aNeuncPjpaWlGDduHIqKivDggw8iKipsq6BalxFAcjtg4QCnTbvTv8LRHVHAyUK0axSL/z7en3e4KGCm3tYRB89exs/7z6PXFUm46crGuL9Xqk/bYHqnFNzcsQk2HjiHMUu2AwAWPdAdgzo0jvi7LlLdtH1xDSwicF1qfSQao9EjtQFG91b3OUjH2nr4IjIPn8f89UdgAfDPEV0x5OpmEV/X5H9Tb+uI4xdL8P2fZ22PPX5jGzx5c/uAvPbfb+mApZtzsC0nDz/tPQcLgDfv6Yo7r3Hd/u3vbnF4IVF4C7mI4/3338emTZsAALt377Y9tn79egBA3759MXbsWFy8eBEdOnTAddddhyuvvBJNmjTB2bNnsXbtWpw8eRKdO3fGG2+8UVdvow4JgF2C226t6uNBQ0M88dlONIqPYcBFAVdWtXbO365vhSFdm/rlNbQaAQPaN0KURkClRUTnZokMAqqYLaJtAv/7o69DQoz7BDvuaDUC+rRNRp+2yfjst5O4WGxCx6YJrGsKmNIaa3Hpo7UBe21dlAbj+rfGuP6t0fP1n3CmsAwdmsS5bf9mu+JyeCFReAu5oGvTpk1YunSpw2OZmZnIzMy0/T127FgkJSVh8uTJ2LZtG9asWYNLly4hJiYGV155JR5//HE8+uijiImJCXTx605sQ6BeIyCmAXB+r/Wx6BggtiGMOuuPUrGpsg4LSJGq2GQGAMTq/HtyJAgCjDotCssq2dbtlNjVhdGHn4FRr8XFYvYrFFgl5WaHv6PqKOA36q3fpRKT2e1+jtkLGXQRhbOQC7qWLFmCJUuWeNwvPj4e//nPf/xfoFAhmoGRnwCVJmDp7dbHoo1A8Xk0unwJzXAeJeVxdVtGikgl5daTcqPO/91RrD4KhWWVTidmkUwKenVRGkRrfXenO7bq82RdUyDVDPK1mroZvSG1f08XHRwTafi1SERUx0Iu6CIvze3s/FjJRWDhAFwNINMA9DV9HehSEdmuBMfq/T8MiHd1nUlBr6/vNLKuqS7UvLNUZ3e6qtq/p4sOvNNFFDkYdEWK4YuAbyYBFucTIFGIwhPl43HGVIq7521G8/oxuKtbc/Ruk8y5GOQ3pkoLlm7OwdnCUgDAntOFuMqP83/MFhGWqhOct3/Yi2htFIx6rVdJI8KB2SJi6+GL+Pr3kwCACrMFmYcuoOcVDXzyGcREW+vznbUH8PHmo+jSPBF92ib77PhE9qT2fLag1OHxumprUvt/d/1BrN1zBsNd/Kaa7e908VYXUVgTRJGXVpQqLCxEQkICCgoKQnOh5NM7ZTMY3mWehR0VrZwej9Vp8daIrkzzTD43a80eLNyQg5qdj7/aXEZ2Lp5fuRv5JRWy2wUBGN8vcpZKcFcficZozB7euVafwaw1e7BgQ47sNl8cn8ieu/Y86vqWePVOmZEefuSq/cv1b9uP5uHu+VsAADOGXIXRvVMDVUwi8gE1sUFkXdolB9IJb1mNbE+SYpMZE5dlISM7N3CForAnnZDIXe3xR5vLyM7FxGVZLgMuwLo+zoINOZi1Zo/PXjdYeaqP/JKKWn0G7gIuXxyfyJ6n9rzs1+MBbWvu2r9c/2Y/vNAvKeNPZQFL7rD+l4jqFIOuSCJlMKzXBABQCS3yxFhcFN1H5jNW7+H6IeQTpkoLFro5IZf4qs2ZLSKmf/un4v0XbcyBycVFiHCgpj68+QyUfr7eHp/IntL2HKi25k3/5jC80BcDj05lAQsGAP/sArzaBPj4TuDoRmDXZ7U/NhHVCoOuSJLQDHgiGxjwHAAgGmasNvfGGTRw+7TcgjJsy8kLRAkpzH285ajsHa6afNXmtuXk4UxhueL9LaK1jOFKTX148xko/Xy9PT6RPaXtOVBtzZv+zWJ3jUd1zLXzU+D1psAb7awB1hvtgMW3ALk7gYJjQGUpUJZv3XfbIuCPFcDp34H84ypfiIh8gYk0Ikn+cWvGQrPJ9tDt2l/xuXkgBIi4JMbhFBrKPvVcUVmgSklh7FheieJ9fdHmvDmGmjKGGrX1oXZ/tXXHfoVqQ037CURb86Z/s7/TZfYUdZ3KAlZOAApOWEeuFJ+3BlamYuv2ylLXzxXNwNcTqv+eXqC4rETkGwy6IolM2vgkFOI7/Yu2v1PLlss+tVGcwW/FosjRKsmoeF9ftDlvjqGmjKFGbX2o3V9t3bFfodpQ034C0da86d8sSlLGn8oC/vskUHAKKDlvfaygFnerej1qvQib2NL7YxCRahxeGEmGLwI0jnG2lL22QtRiimmy7NNSEgzokZbk79JRBLi/VyqUJHD2VZvrkZaEJvF6xftrBGsZw5Wa+vDmM1D6+Xp7fCJ7SttzoNqaN/2bwzpd0v9LyS92fgq82wtYOtg6ZFAKuGpry3/k1+4kIr9i0BVJuowAxv4ku2mY6RWssvSV3TZtcEeuq0M+oYvSYHz/NI/7+arNaTUCpg+5SvH+4/qlhfV6XWrqw5vPQOnn6+3xiewpbc+Bamve9G/2QwqTC/dYk2BIyS9WPQKc3wOYLvu2oILGehGWiAIqfM8uSBF3I8hj9VrMH9WN6+mQT029rSMmuDgx8UebS++UgvmjuiHRGO1yH0EAJvSPjHW6pPpIiJEfXV7fGF2rz0D6fF2d4tb2+ET2bN9vF+15yo1tA9rW3LV/uf6tSc7X2Kkfixe1H2Ho7kesd7Sk5Bei2T+FvHMBkNyWCTWIAoyLI6sQ8osjA9Yx4YsGAqYS29UzMSoG227/Acv3VWLz4Ys4f9mEoV1T8PbIa3glmvzm1n/+gv1nL6Nby0S0SjJieLfm6N0m2W9tzmwRsfXwRWQePo+TeSXIOpGPk5fK0K1lAlaM7x3Wd7jk5BaUotesnwEAw65uimb1Y9C7dTJ6XtHAJ5+BqdKCpZtzsH7/OWQezoNWAD56+HqfHZ/I3oWiclz72loAwD3XNscX208CAD4d1xO9WrvP0OsPUvufu/Ygik1mPHdre4wf0Lq67VfN06o8swdRosn9wfyJCTWIakVNbMBEGpFGNAMjPwF++Qdw6EcAgKCLxfWNLbi+sYD3YqLwj60mJMcZeGJEfiUtyv3i7Veieyv/z7fQagT0aZuMPm2TAQALNxzG62v2IbVBvYgLuACgvMJa/3H6KMz96zU+P74uSoNx/Vtj2DXNcd1ra2EB0OuKBtCwXyE/KKu03hUyRGswtu8VtqArSls37U1q/99nn0HW8Xxc0ahe9W/qjqXA/14ATJf9exIWFeM6o6EmChg2z5+vTkQ1MOiKNHKTZ0suAgsHAAAmA/gHlqPEVBnYclHEKS63niQZdXXTDUmvWxyhbV1630a91q+vE1t1fFG0nhjX1edN4a3EZO1PYnVRiLYLtOr64mGs3treS0yVwL411mDrkrIFxBWLTgDu/wpo1BEQKwGtDrBUAFF64MAPwOejnJ8zbF71EENmMSQKCP76RZrhi4BvJgEW+xPNqhGmmiisv3IGsKP6hJjIX6TAPraOTsKlYEA6WYs09iep/mSI0kIQrEFXcTmDLvKP4vLqiwjR2uo711F1HHQZdVp0Fo5gwE8vA5cP+e7Ady8DWve3BlaCYP2vgxjrf+QCLgBYOa76/znEkCggIm9MTaRzk8EQY3/CmVZDAIB3usivLBbRdtLv7zstrtjudJVHZlu3P0n1J41GgDFaCnAjs67J/+wvItgPF67TO12nsvDyiXFYrpuJJF8EXFEGoNFVQGwjoEU3ICYBiDbIBFx20ue43qaJYhZDogDiJUcCIEC622WoOjn6/Vge7p63Gc3rx+AuPyc4oMghJbNYf+Cc7bFdJwowoH3DgLevmChrWz90rgjjP9qO61KTMLp3aljP77JPJrItJw8AcLGoHJmHLvgtwYXZItqOO2XF72gYp0eP1AZhX9cUOGaLiO1Hre05v8SEHVX/DwDZpwrQoUl84H+/9q0BvpmMZqZLULx4nUsCoE8Exq8DklIBs8l9oGWv50SgWXdg8U3O28b+BDS9uraFIyKFmL1QhbDIXghYMxgu6A+UXLD+bWwIaASs6/85Jn57BuVVCQ7sxeq0eGtEV6Z5Jq9lZOfi+ZW7kV9S4bQt0RiN2cM7B6x9ZWTn4okVO23JPCSCAIzvF56p493VP+Cfz8Dda4ZzXVPgeGrXgHUx4mmDOwamf9m3BvhppnV9LZVESPGZAOgTgLE/A4nNrBtlhxAqdHqnbd42pONDBMb/wqCLqJbUxAa8zBhp8o8DxeeAvy6vfkw0Y/N17+CtrzchufKs7NOKTWZMXJaFjOzcABWUwklGdi4mLstyeWKUX1IRsPYllaVmwAVY5x0t2JCDWWvUnzAFM0/1D/j+M/D0muFa1xQ4Sto1AJwpKMOkQPQv+ceBFX/zKuAqEbU4p0sDYhsCj2YBzxwAGra2Dh/0NITQk9iGgDHZ7u9koF4j6+NEFDC806VCWNzpmp7g9FD11TWr1LLlTvtIUhIM2PTcIA41JMXMFhF9Zv+EM4XlHvf1d/syW0T0nrUWZ4vcr4ujEYB9M/8SFsPf1NQ/4JvPQM1rhlNdU+CobdcCgCb+6l/yj1dlAR6o+qmVIpAPI+4sfxUDr++BmYPb1S7AclW2ynLgg1utj8UkAfd+DmijAGMDZi8kqgXe6SLXhi+yTp61I/38VIhaTDFNdvv03IIy21wQIiW25eQpPjHyd/valpPnMeACAIsIfLzlqN/KEUhq6h/wzWeg5jXDqa4pcNS2axF+7F/mdvYq4MoXjbih/C30Lp+HE2gCC+DbgMu+bFLABQCledY5XgsHyi8jQ0R+waAr0rjJXjjM9ApWWfp6PMS5ojJfl4rCmNr24s/2pebYx/JK/FaOQPKmPmv7Gah9frjUNQWOt23U5/1L/nGgcRdVT6kUBVwQYzG4/FWcQApMiAYAWPwx8EjmQqsNsxcSBRSzF5LT8EJPGsUZ/FUUCkNq24s/25eaY7dKMvqtHIHkTX3W9jNQ+/xwqWsKHG/bqM/6l/zjwI6lwMY3FT/FOpQwFneWv4KzSLYFWxKL8zTT2usyAkhuVyORRhVmLyQKKAZdkSi2oXUSrUYHFJ4EBC3yxRhcFD3PU0tJMKBHWlIACknhokdaEprE6xXP6fJn++qRloTGcTpFc7ru75Xqt3IEkpr6B3zzGah5zXCqawocte1amtPls/5FxbA8UbQmH7zLNB17xTSHYKt6wRbAzCn2RGGNwwsjUUIz4Ils4NbXAQCCaEZB6yE4gwYenzptcEcm0SBVtBoB04dcpWhff7cvrUbAjKGdPO43rl9a2CR2UFP/gMrPYOenwOyW1v96+ZrhVNcUOGramNSafdK/5B8HNv8HiFZ+d/aQ2BTnxAScFRs43d3q3irR9v9+GV4IWNf1iqkP1LNLmS8IwOXzwOnfre+JiPyOv3SRKP84cG4PUFE9j6LVmR+x/HY9rtUdQzOcd3pKrF6L+aO6cZ0u8kp6pxTMH9UNicZo2e31jdEBa19SWYw6rdM2QQAm9A+/taM81T/gxWdwKgv47u9AWQGw4Q1gyR3WxxS+ZrjWNQWO1MYM0e5PZZokGDDPF/1L/nHrHa4fXnT4/XQnT6yH+03Po2/5Ow4XNqX236dNddp2i8VPQdfim4HSS8Blu5T5IoDldzOZBlEAMWW8CmGRMh6QTRvvOMgBmNJ+HdbuPYdikxmPDmyNJ29pzztcVGtmi4jO0zJQUmHBTVc2QvsmcejdOhk9r2gQ8PZltojYfPAC3l67H7+fKEDrhrH4fkr/sL7rYraI6Drjf7hcbsag9smIj9GhWf0YdZ/B8a3AkfXA1nlAWb7jttaDgAHPAS17Orzm1sMXsfHQOfyy7zz2nr2MpgkGrH/mhrCuawqcuWsPYO7ag+jYNB6D2jfC9WlJ0GgEXLhcjkZx1iGFPrnDpSY4ETSAoT5MD/6IpfuAX49cxMFzl3EsrxRN4vXY8Owg6KI0eOuH/fj3z4cAAEO6NsU7f7umduWUs+tz4JtJgKXSeZsmChg2zzr3i4hUUxMbcE5XJBq+SKYDrgq4qjrgf3Xphgc/3IZ1+8+jZXIsAy7yCa1GQEXV1dyZwzohJSGmTsvSr31DFJZX4pHlWUiupw/7IECrEVBhttb/K8M6o3l9lQks8o87pp6u6fDP1n/j19vW/9FqBPRpm4w+bZPRt80FjFr8K+JjosO+rilwSivMAIDeVzTA07e29/0LqA24AGD0d0Dz7tBF6TGuETCuf2tsPXIRf124FbH6KFv7N9vd3fLb8EIm0yAKCgy6IpHCDtiotzaPknKZq2NEXjBVWmwn/UZdcHQ/Rr11mGGJyVzHJfG/SrMF5ZXWFGmxautfzYmntGbR9AKHh6W6LjaxTyHfKSm3fnel3yyfUxNwPfg/oHFHwOB8xVv6ztn3NfbJM/wWdBFRUOClRnIpViedIIX/ySgFRondybbcnKpacZHUwRPpRCgSAoGSiurvshQAKab2Sv8NLzlN0LeddJazTyHfkb67sb7uUwDrcNorByvb15AIJLaQDbgAu4sOdhcy7edx+SVlvETKWqyPq34sOsb6OBEFBIOuSCVlMzIkVj9WI5uR0XZVLvxPRikwpABeF6VBtNbH3c+W/7hM6uCOFPxFQiAgvccojQCdmvr3JrvZuledAjWjjne6yPf8eqfrg1uBvas97CQAhiRg3HprdmAX7O90SdPpzXaBll9TxotmYOQnQNrA6seiY4FiZjAkCpTgGN9Dgbf4ZufHpGxGVfTXbwEArPr9FP44no8uzRPRp23dJD2g0Ge2iMg8aM2MKUBE5qELtW9LUlKHnZ9UnzTkHbb++3mmU1IHOYZoayBwvqgM9y7cgnKzBS3qG3FXt+bo3SY5bNq62SJiY1X9awRg8+GLyurfm/ksQPUEfTtSXZdVWMK6rikwTJUWLN2cg21HLwIATuYVw2wRfdOO8o8DZ/8EjA2BEueMvg5GLAPa3QxE6d3upq/KslhpEXHvoi0or7TgdH71OmMWf97qkvsOl1x0nGZQYzgwEfkWsxeqEDbZCwGP2Yy+TX0Jj+9pJ/vURGM0Zg/vzPTxpFhGdi6eX7kb+SUVDo/Xui3JZuKswS6pg1y5nv1yFwrL5O+8xOq0eGtE15Bv67WqfyV1LGf8Lw4T9DOyc/H8V7uQXxredU2BMWvNHizckIOaJzA+aUdqLjTENAAmbnR7hwuQ2v9u5JdWuNwnSiPgP/de45/vADMYEvmFmtiAwwsjVZcR1qQZMj648n2XARcA5JdUYOKyLGRk57rch0iSkZ2LicuynE74gVq0pfzjwP7vrVehPXGxDo1ULlcBF2AdDhnqbb1W9V+bIUfn99uebyuDi4ALCI+6psCYtWYPFsgEXICP2pHSgOua0cDf9yoKuKzt33XABVjvgPntO+DmNx9jf2LARRQADLrIycqsU4r2m7F6j0O6W6KazBYR07/90+N+qtqSdBX60796HvYjGb7Iq3J5Vb4gUqv693ZYoeTr8cDczhFT1xQYpkoLFm7I8bif1+1I8YUGAeg+2uOQQrXtH+B3gChcMeiKZFI2I1SNf4+pjxJdA1wQlQ2dzC0ow7acPP+Vj0Letpw8nCks97ifqrakNhC49mGneV1KyyUJ1bbudf0rDbiEaEBwkTFOEwUMXxQxdU2B8fGWo7J3uGryuh0p7V/G/Bdo3t3jbmrbP+DH74DtN79KTJL1b2YwJAoIBl2RKv84UHwOGLkcEKqagcWMj1u9jmShAM2g7A7CuaIyPxaSQp2a9uG3trR9sdOJlDevFYpt3ev6V3riOWIpMO5n+W1VQ5Yipa4pMI7llSjeV3U7UpQeXgCMyUD9NP+UoZbPc8nhN7/qQonFbP27+ByzFxIFALMXRiq5k6ryQkw4OAETqkZLpJYt93iYRnEGHxeMwoma9qFo3/zjwA0vAuteU14IjRYYNt/rctXmOXXNq/pXevJlqG9NlFEsXaARAJl7EJFS1xQYrZKMivdV1Y7yj1vTw3uiMFOhV2XwwfNckv3NLwAW31T9N7MXEvkV73RFquGLrMN/ZFSIWkwxTfZ4iJQEA3qkJfm6ZBRGeqQloUm855MTRW1JGvKmJuACrAFXcluHYEJpuVSVLwiprn+lwwqjjcC4ddYEAtKaf/bJBOzW/OtR/3JE1DUFxv29UqEkIbyqdqS03Wt0QLNrFAdcgPq+BvDTd8DNb740FJiI/ItBV6Ryk8no406LscrS1+Mhpg3uyHV1yC2tRsD0IVd53E9RW/I2qcPKcU4ZDJWWS1X5gpDq+ldSx1oDMHEz0KBqeNXim4HSS0DByep9pDX/Fg6E9p0uEVHXFBi6KA3G9/c8tE9VO1La7h/Z5jFTodPTVPY1gJ++A8xeSFTnGHQRUOO64UN90jChf5rLq4n1jdGYP6ob19MhRdI7pWD+qG6INzhfZVXclmo730DmSq5UrkRjtMunxeq1Id/WpfcZq3NOeOFQ//nHgV6PVs/xdOXuD6oDLsDFFfSqYYZV9R4pdU2BMfW2jpjgIvBS3Y6kIcuuEsJI7njbsd2roKT9A9YALTDfAV7UIKoLXBxZhbBaHBkATmwDlo8A9AlA/lHrY4IA/O0LoF4yTLr6WLrHjG05efh53zmYReAfd3XBXd2b80o0qXbk/GUMeusXRGmAiQPaoFfrBuh5RQNlbUnJAr0Dngfa3OQ4R0FSY6Fee2aLiK2HL2LjoXPYdaIA249dgsks4qXbrsSDfdPCpq2v3nkaj634HU0TDBjerblz/StdBPnJPc5X+0/vBBYOcN63Rr3XrOudJ/JRUmHBkze2xaM3tg2buqbAePqLnfhyxym0bhiLLs0SMLxbc/Ruk6yuHSlq94L1bpCCbIXuOLf/SyipqD4F69IsHt8+1q9Wr+GW7Tc/Hsg/Zn3M7jff1SLyROSamtiAiTQi2eKbrf8tvVT9mDQsCIAOwLjpBRjXvzV6z/oJpwvK0CEljidGVCsx0VF4+tb2yp9wfCtw7UPAjiWAaJHfJyoG6PaAXVIH5bQaAX3aJqNP22QAwO3vbMSfpwvRpnG9sGrrpZVmAED7JnHO9a80Qcktr6keXmWvZl3f9/5WZB66iNSGsWFV1xQY5ZXWgOW+61vhob7e3YVSZPKvQCMVfZYLNdv/6A+24ZcD1X2W6O87UB5+8wEwmQaRH3F4YSRTMCxIYtRb9ysuNweocBRuLFU31TVqT64/uBXY/oHrgAsA7lrsmNTBmFy9zS6pg5JhirE6a1svMYVXWy8prwRQ/V22UZqgZORyoPej8tukeo+xm/yvoN6NOvYr5D2pTcfqPQwNlJN/HNj/vXUdP3duec0nAZccY40hv35fEFnFbz4R+R7vdEWyLiOA5Hbyw4LG/uQwLEiaD1JiqgxQ4SjcmKtiJlV3NPKPA1cOBfaucr2PRlfdVqUrufZUXsk1Vp3AFZeHV1svrgoineZ2KU1Q4u4Ol5f1zn6FaqO4qt1IwbsqStu9qwsNPlCzL7T4e7aHit98IvI93ukiRWxXpMPs6j8FjnQVVyMoDLqkOzDuAi7AMaOYD67khu2dLrkTVKUJSozJQGxD19u9rHfeQafakL6jXt3pUqLX4/45rgt+D7qIqE7xTleki20I1GtkPT8qPmd9LDrG6QQrJtp6ojxv3UF8vu04ujRPRJ+2ycoTIVBEM1tE7Dxxqer/LTBbRN+kiO82xjGjmA+u5BqirOX6aHMOfvzzTMi3ddvk/aq5I3nF5dX1r6SO+z8H9P+7+7WJvKx3fVVdf/37SRy9cNm7RAgUcaQ2ffxiCQDgyLliDGinoE8BrBcazv5pHVa4fbHr/aKNQM+JPiqxvJp5zE7mleCu9zJhiNaiq7/6HWkoMASgNM/6mP1QYCbTIPIbZi9UIeyyFwLWH6CiM8C+74DMudbHjMnAqK8AiICxAWZtvowFG3Jkn55ojMbs4Z2Z5plcysjOxYzVe5BbUGZ7LCXBgGmDO7puN/nHgT9WAOtnuZ/LNfZn54xiCjPpyZm1Zk9YtfWM7Fw8v3I38ksqHB63vRfLRuCbSYDFxfC+qBjgsR3KkmeorHdXdR2r0+KtEV1Dqp4pcDy2aU/tRmmWzod/BFr08LKUnmVk5+KJz3airMJN/wY/9Duy71+A7c40wGQaRCqoiQ04vDDSze1snY8hBVwAUHLRevJUtaCsq5NQAMgvqcDEZVnIyM71e1Ep9GRk52LSsiyHgAsAzhSUYZK7diMldnAXcI35Tj6Fs3QlNyqm+jEFSR3cBVxA6LX1jOxcTFyW5XRyCljfy8Jln+KPE3nWrI+uSAlKPMk/Dlw+V3UFvYqgtf59+ZxTnbur62KTOaTqmQLHU5tW1G7SZ8HjOlXRRiDe+yydnkj9oqeAC/BDv8NkGkR1hkFXpHPTAYuaKDxhmqzoMDNW7/F/5iUKKWaLiBmr90CuVUiPybYbpfOM6rtIEb34ZmtK5MpSxxdcfrftQkJNpkoLFroJuOyFQls3W0RM//ZPt/usNMxA19+es2aGdEXpxPq5nYHl99RIRW22/r38Hoc6V1rXoVDPFDhK2jTgod3kHwcypgKyvZKdiZtrtTSCO+76RXd89n3oMsI65FfO2J+s24nILxh0RTo3HfCq7h/hG0tfRYfJLSjDtpw8X5aMQty2nDynO1z2RLhoN0rmGblbL8qLK7kfbzmq+CQoFNr6tpw8nCksd7m9Gc7ju8oecDu4vNM9yk88Zeu8So06V1rXoVDPFDie2rTEbbtR0rcMeN5xnqiPeeoXXeH3gSj0Megil3IL1f0wnCtS/0NC4Utpe3DYT1qkV3CTjazbGPdpnL24knssr0RRWSXB3tbdla8ZziPTMAW3R22D20SSd7+v/AVV1Lmaug72eqbAUdMWZPeV+hZ3Qwujje6H2/pAbdq0z74PUgItqZ/VJ1j/dpehlIhqjdkLI539XAxpaJCgAQwJSDMUoxmKcArKOuJGcQY/FpRCjdL24LCfkivRHW73skSutUoyqto/2Nu6u/JlGqZ4PoCnBWPdqjEpvwY1dR3s9UyBo6YtOO0rLT/hyQOr/DasUFKbNu2T70P+ceu87ZHLgSW3AWazdSjwyOXWDMaimdkLifyEd7oinexcDAtQegnpfzym7AQN1mx0PdKS/FRICkU90pKQkmBweV1ZgJftpvFV7rdLFxIMidWPaVwndQCA+3uleppabxMKbb1HWhKaxMuneJ9huh+Vooeu/+r71L+olMDEYa6dcwITpXUdCvVMgeOuTduTbTdKAi5drF+TZ0ikflEtn30f5na2zm1dfJP1OwsApsvWv13MeSUi32DQFek8zMX49orpig4zbXBHrq1DDrQaAdMGd5TdJrUUh3ajZPiPu7lcEulCQll+9WMW+aQOEl2UBuP7K5vHEQptXasRMH2IfHA6TfcxogQPWdPkskJ6IiUwuXTE7kHRKYGJ0roOhXqmwHHXpu3Jtpv0We6HLEfFABMy/X6XC6juF9W2bJ99H1TMvyQi32LQFek8zMUY8sCTmNA/zeUPRH1jNOaP6sY1dUhWeqcUzBvVzenxJgkGzKvZbqQ08e7SLLibyyXx8qRi6m0dw6qtp3dKwfxR3aCPqu7mm+E83qy4G25DrvQ53r2ginp3V9exem1I1TMFjtSmE43RTtvcfj8zplqHzblSWerX5Bk1Sf2ikjtePu93mL2QqM5wcWQVwnJxZMBuUdMaczHsFjU1VVqwdHMO/rn2AEpM1lO2ZokGbHh2EK9Gk0epz39n+/+2jWKR8cQAx3YjLYa87nW4DLp6PQ7cOlPZC9ZigWSprW89cgE/7bsAAFj0QHcM6tA4JNv6y6uy8dGWY7YEGh7VZmFUlfUu1fX7G3Nwtqgc9/dsielDOoVkPVPglFWY0eH/MgAA4/qlYWD7Ruh5RQP5dmPrW15zfcD0OUDPiX4qrWtmi2jNylhQinNFZdhzuhBHzl/G7tNFEAAsG3u96/dVGwp+84lIGTWxARNpUPVcDGMD4OKhqgft5mIYG0CX2BLj+rdGxp9nseOYdf5XrD6KJ0ekWqJR5xxwKZlHoOakqOiM/OMXDgAQrW3dxWRxXZQG4/q3xth+V6Dti9+j0iKic7PEkG3rpkrrRRJFAdcNL9XuxVTWu1TXB85exhc7TiIlMSZk65kCp7yy+l7tM7d2gC7KxaAdf/QtPqTVCOjVuoHDYwUlFej6yg8QAVyXmuSf74P0mx/bsOq7CdT8zWcyDSLfY9BF1rkYgGMyDWkuhqTq6rfWbY5pIs80NduQ0rVz1My3+HSk/OMrx1X/v4c7OoIgwKjTorCsEsWmSuWvHWRKK8y2YYVPRK10PZ9LFwtcfW/tXszLeo/VW3+KSsrdDAEjqlJS9X3UaTWuAy5AWd9S2wsNPhajq557Vmoyu39/3lLxm09EvsM5XeT1HBgLB6aSF1RPcvdm7RwfTRYPh2Cg1GRGpmEKno7+0n0Cjfu/qX0iAS/r3Vh1ohnKwS0FTnHV99God9NvAO7bI+CbCw0+povSQKe1npr57fvAZBpEdSLkgq5ly5ZhwoQJuPbaa6HX6yEIApYsWaLouUeOHEG9evUgCAImTqyb4QRBycuJtaWm0D0RpbrjFHR5muReUaI+GPDRZPFwCAbKKi2e08RHG32TLtvLeg+H4JYCR7rTFavzMFinZU9g2Huut9+5ICAZC9WSgskSf/U7TKZBVCdCbnjhSy+9hGPHjiE5ORkpKSk4duyYoudZLBaMGTPGv4WLAPZ5V3LzS3HXvEy0qG/EXd2ao3ebZM7HIBuzRcTWwxeRefi8w+MOLURKE+8ugYa32fRqyWwRYam6nTt37X50b5WE3q2T/TOx3Q+kJBW7TuTjI93H7nf2JrD1IUO0NSDccOAc7p63Gc3rx7BPIVlmi4hfj1wEYA1KMg9dkP9OKpnP9dmooBtGZ7aIkO7fPfXZ74jSamCI0iK5nh4ajYBm9WNc9kP2fe6pS6UQRREXLptQVmmGXquBIAgoN1vQor4RD6Tmw5pX1v1i5kTkOyEXdL3//vto27YtWrVqhdmzZ2Pq1KmKnvfPf/4TW7ZswRtvvIEnn3zSz6UMQdLEWq0BuJxrfUxwnFibcTIav5+oHgNuAbDjWD52HMvHNztPI1anxVsjujLVMyEjOxfPr9yN/JIKp22bD19ERnautZ34c5J7bEOgXiOgshwoqzqxio6xPu5BzfJvPXIJW49cwrvrDiPRGI3ZwzsHdTuftWYPFm7IgYiqNPHau/FU1JeQj18EYPhC3724VO+l+dWLr7qp94zsXMzJ2A8AyC0sR25hObYfu8Q+hZzU/F5eKqnAfe//Kv+dVNK3BNkwuprvb9epItn95Pohd31uTTuO5ePozoP4UF8Phph6iCmrSoAjMJkGkT+F3PDCm266Ca1atVL1nH379uGll17C1KlTcfXVV/unYKFOWthUCrgA68Uvu4VNJy7LQqWbKSHFJjMmLstCRnau650o7GVk52LisiyXP/6VFhETl2Vh/a/brXe53M3nqs0kd9EMjPwEaPeX6seiY4HiqpOK/ONelT+/pCKo2/msNXuwwC7gkuZzub5hJPp2OJFU743sFrJ1Ue9SXZtcdCzsU0ji7nvp9J2U7qALbk5xbngpqIbReep3arJ/z2qfCwDfGKahvnC5OuACnH7zici3Qu5Ol1pmsxmjR49G27Zt8dJLL2Hz5s11XaTgNHwR8M0kwGI/htw65EDURGG68IjiQ81YvQc3d2zCYUERyGwRMf3bPxXtO/D7Gz3vVJtJ7nInDSUXHdeRqjG0SE35g7GdmyotWLghx/Z3QNLE16Sw3s0WEdNWZSs6ZDDWNQWO0u+lrZ0oCRja3uyDkvmGmn6npunf/glvVludYpqMN6MXIFqwn0dZdSBNFDBsnlflISLXfHKna86cOaioUH6FJZBmzZqFrKwsfPjhh9DpdKqeW15ejsLCQod/YcvNxNrd6SuxtPh6xYfKLSjDtpw8X5WMQsi2nDycKSz33QFrM89INkOX3UmFzNAiNeUPxnb+8ZajDrMzppgmo0J0cyfRH9nbFNb7tpw8nC0yKTpkMNY1BY7S72VuQRl27t7t+Q66LlbRMONAqU2/eaawHGeL1D93laUvhplekd/IZBpEfuFV0GWxOA4FmTp1Kjp16oTvvvvOJ4XylT/++AOvvPIKnnnmGXTv3l3182fNmoWEhATbvxYtWvihlMEvr0TZiZG9c0VlfigJBTuln7u0bpTFXRdU2wQaXmToUttug62dH8srcfh7u6U9nq6Y4PoJ/sjeprDeQ72uKXDUfPbdv+4HrHvNfUbUCZlBlbWwrtp2Q1jnaDvdKbtwwO0QbCLyjuqg688//8T11zve9fjwww9RVFSEIUOG4LbbbsOBAwdcPDtwTCYTRo8ejTZt2mDatGleHWPq1KkoKCiw/Ttx4oSPSxlkpGQa+oTqxwQBjYRCdBKOoBnOu35uDY3iDH4oIAU7pZ+7bZ4R3EwS9DaBhiT/OHB+v/y28/tlTyjUtttga+etkowOf2capuBfOseU2Q4nWJ+N8n0hFNZ7qNc1BY6azz7n2v9zf5fr+klAgzQflMp36qptL9G/CcCaP8PBynGc10XkB4qDLovFgpkzZ+Laa6/FzTc7joUePXo0Dhw4gCeffBI//fQTOnfujKeffrpOh+PNmjULu3fvxocffgi9Xu/VMfR6PeLj4x3+hTUpmUa53TwXEei47iH8V/+SsvkhAFISDOiRluSnQlIw65GWhCbxnr9vU0yTUQk3J0a9Hq99YeZ2Br4eL7/t6/GyJxRKyw8EZzu/v1eqLSW/dDexUnQ8o5JOsEQI/sneprDee6QloXGcsiHfwVjXFDhKv5cpCQakbZ/p/i7Xr8E3V0lNv1NTk3g9Gsd599wppsmu1+/jIslEPqc46JozZw7eeustrFy5Eq+//rrT9nr16uHNN9/Erl27MGjQILz99tto164dPvjgA58WWKnff/8dFosFPXv2hCAItn833HADAGDBggUQBAHDhg2rk/IFJTdzMSyCFlNMkxUdZtrgjpzwHqG0GgHTh1zldp9mOI/DYlP8ed1s+R308bW/ywW4aM9VXJxQKCm/JBjbuS5Kg/H9rVfxpbuJUYL8LHvB11kLJQrrXasRMGNoJ0WHDMa6psBR+r2cNSjBOp8LrtqKny401JKafqem6UOuwoyh3j13laUvhppmym/kvC4in1McdDVt2hSXL1/Gpk2bnOZ02Wvfvj2+//57fPPNN6hXrx7Gjh2L6667Dlu2bPFJgZW6+eab8fDDDzv9u+222wAAHTp0wMMPP+x01y6iuZmLoRn3M/5y7+NINEa7fHqsXov5o7pxTZ0Il94pBfNHdXPZVjINU/Bf/Uvo+tsz8gcoL/TNfAsv5nQBnstf3xgd1O186m0dMaF/mvur2IDvsxZKVNS7VNdGnfxdT/YpJHHXVqTv5MDvb7TO53K52K+fLjT4gKd+pyb7fkh6brxBXULqWL0WL97WwZviEpEXFH9DR48ejVatWmHs2LHYtGkTfvnlF7f7DxkyBOnp6Xjrrbfw2muvoW/fvrj33nsxZ84cNG3atNYF9+SRR+RTnK9fvx5r1qzBgAEDMH/+fL+XI6R4mIuR3ioJN790M7YevoiNh85h14kCHDh7GReKTRjaNQVvj7yGV6MJgPUE4uaOTdDjtR9xsbgC3VomIut4PgDg25THMeTMu66HAA183g8lEuD6RMyZVP6thy8i8/B5vL8xByaziFnDO2HEtS2Dvp1P7V0P7+V3Q+aeqzAgarfzDoYE32ctlOW53qW63nzwAr7MOoGM7LMoN1vwwl864OF+VwR9XVPgpHdKwan8Usz87160aRiL9E4p6NW6AXpe0QDawhPWu1zrZ7vuW/x1ocFH7Psd6Te2rNIMs0XEHyerp2tMGdQGj9/UzuG7kd4pBR2axGPgm+sdjtm5aRyiozTQazUQBAFZJ/JRVmHBc7e2w/iuOmgv7AcM9YEya1INCFrAEA9cPmc9J+ACyUQ+o+qyyMCBA/HHH39g6tSpLveprKzEH3/8gV9//RXbtm3Dr7/+itLSUoiiiE8++QTffPMNpk+fjqeeegqC0+xNz95//31s2rQJALB7927bY+vXrwcA9O3bF2PHjlV9XIL7SbNVczS00wvQp20y+rRNBgDMydiHeesPIznOwJMjcqDVCNZ5QwAmDWyDcR9tBwAMyX3H/RPXzwYGuu5jVLElh4kH8o9ZHxME4HLVQr3GBi5PKrQawdbW/7vrDI7nlaBd4/jgb+f5x4G5nTEZcN3DlxX4N3ubVO/RsUDhSetjbupdqxHQr31D9GvfEEP+swm7ThagTeN6wV/XFHBlFdaRNt1bJeHpW9tXb1CS9CEgFxpqx77fkZzIK0G/f6yz/d2iQazsd6Os0jnYnH13V1zVtDo51l3zNmPHsUtIaxgH7TvtnfaHaLbO7V5+j/XvGmsZEpH3VC+OHBsbi3fecTxp+vTTT20B1s6dO1FeXg6xKkVW48aNMXToUPTu3RtpaWl4++238cwzz2D16tX45ptvkJiYqOr1N23ahKVLlzo8lpmZiczMTNvfDLq8JLtAchUXiyXGVg31KDHJPIciXnG5tV1Iw16a4Tx+ShmHG3Pfh+wdEEFjTWPuK4urhg+XXqp+TBSB5XdX/63gpMIYSu1cyclnbdPxeyJb71BU71JdF5e7SYZAEUvqU4z6GsMM02cB/3vJ9V2u6ycFVZp4NWL1jqdqrvohue+MTus4xNihL/PiN5+IvKc66JJz3333AQC0Wi06d+6M3r17o3fv3ujVqxfS0hxTs951111477338MQTT+CJJ57AkiVLVL3WkiVLVD/H3sCBA20BIdXQZQSQ3A5YOMB529ifgKZXOz1s1FmbEE+QqKZKswXlldar0vEx1nkKmYYpQK6bJ4kW38658NFJhXTSExLt3MPJZ/E14xHri0Ql7sjWu90CyW7qPbaqTwmJAJcCrsRkbddSO7HJ8HB3/Nd5wF9cJO8JcjXnsbnqh+S+M9E1gi6p3opNZqCb+t98IvKeT4KuV199Fb169UKPHj0QGxvrcf/Jkydj+/btWL16tS9envxC2RyYWH0I3QGggCqpqD4xiI+JtqUwfyp6pev1uXw958KLCwlyQupOl4eTz9jfFwJD3/BvGWpR78ZQCnAp4Fze6Rq+CPh6oouLDRpguA/voAeYPsoxcFJzpyu6xnOleiupqkcUnZF/0QsHAIhuh2ATkTo+CbpeeOEF1c9p164d8vLyfPHy5Esq52IYoqwd+M7jlzD+o+24LjUJo3unQhelet1tCjNFpdYfdY0A/HmqQNk6b/6Yc+GDk4qYqva8YP0hLN54BIZoLVokGXFXt+bo3SY5eOYe5R+HZeCLENbPgiAT2IoiUHLj6/B8acwHvKx3fZS1Lj/ekoOVWSer1uhqwH4lwpktIrYevois49Yhq2cLymC2iNbvXv5xILkt0HMysOXfzk8e9p+gzVqohKXG9c+vs05iR85FQBBQWlEJU6UInVbAuSKT03OjtY59kxTAffrrMXy78xS+uzRS/kVXjqv+f87rIvIJQayjsXanTp3CDz/8gAcffLAuXt4rhYWFSEhIQEFBQfgulDw9QebBGne9qjrgjOxcTFmx0zaEzLa3AIzvl4apt3X0XzkpqGVk5+L/vsnG+cvWk4BmOI87tRvxRNRKRAku7nINeB64wUcJNOzJtuma+7g+qZi1Zg8WbMhxuT1Wp8VbI7oGR1pzBe+14NkLSFCYltrfZalZ7+7qmv1K5MrIzsXzK3cjv6TC4fFEYzRmD++M9C8VpD0P0cAhIzsXM1bvQW5BmVfP3/nyzUg0Whchl/t+DdVswlvR8+X7ZWkocAgHrET+piY2qLPLhs2aNQupgCtiuFkg2X5h04zsXExcluUUcAHWq+kLNuRg1po9fi4sBaOM7FxMWpZlC7gA+4V6Xa/xh24P+KdAXiySLPEUcAHWuRETl2UhI9vdZDX/y8jOxRTTZFSI8mteAcAbFfdACFSvr7LePdU1+5XIJP3W1Ay4ACC/pAIzl/0PB6563Jrq3BV/J47xE6kv9TbgAoB//XQQgOvvFxdIJgocjtUgRwoWNjVbRExble3xUIs25sAkE5RR+DJbRMxYvcdpNqCnYAADnvdfZjEvF0k2VVqw0EPAZW/G6j0w1xwHFCBmi4jp3/6JVZa+GGZ6RXafPLEevjL3R8DGNqiodzV1zX4lckjt2p1MwxS0+/Md11kLAcDfiWP8wFVfqtbSzUdxuaxS0feLOcaI/ItBFzlzNxfj9O/YuXs3zsqMHa/JIgIfbznq27JRUNuWkyd7VXa7pT2erpgg/yR9PNDmRj+XTL2PtxxVdcKTW1CGbTl1M091W04etIUn0Uk4gtbCKYdtFtE6p+M501icQQPsPH5J7hC+52GxdeQft/2ppq7Zr0SObTl5OFNY7nafGab7USm6OZXp9aiPSxUYrvpStSwi8ORnv7v9fkWLlcgT6+GiGGd7TITdXG677yoRec8niTQozHzqfmJtdwDAckWHOpZX4pMiUWg4VyR/kuA2iUZ5oXVdJ3/Nucg/Dlw+Z00QI60bJWgAQ4L18fzjsgkdvGm7rt6/v50rKnOoY1G0zoESRUAjWE+3FunnIrVsOc5fdn8S6zMKFluXPnO1dc1+JTIo+T5N033sfoct/wFufc1HJQocX/Ylxy+Vut3+jWGa9X8ccm6oX8+QiNzjnS5y5mEuxsE+bys+VKsko48KRaGgUZzB6TEpVXyl6CLDn6BxO6+q1uZ2BpbfU2OhXov17+X3uAwOvGm7cu8/EGq+riA4/tdek/gAlVHFnC61dc1+JTJ4+j557Fsg+Ldv8SNf9iUt68e43S43/NtWox7mvRKRcgy6yJmHuRhX3PgQGsfpPB5GIwD390r1bdkoqPVIS0JKgsHhgml1Eg0XA1x8vSByTV4m0ri/VyrUJIK3pjZPUl8+H+iRloRp2imocDHMqkLUYIppctW+DQJTKBVzutTUNfuVyNEjLQlN4vUut3vsWyCGbCIIqS+tLY0A/HPkNW6/X+7mgjKZBpHvBCTo2rBhAzZv3gyLhZOfQ4KHuRjawhOYMbSTx8OM65fGdXUijFYjYNpgx5TeHpNo+HpB5Jq8TKShi9JgfP80xS8zbXDHOluvS1t4ArcO7IdPKwfJbn+t4j6ssvQF4LxuT2C4f001dc1+JXJoNQKmD7nK5fY671v8SOpLa/ttHdcvDfUMUW6/X81wHm2q5oI6JdOoMf+SiLwXkF+ugQMHol+/fmjbti0WLFgAk8lzEgaqQ3M7V8+5qOnr8cDczkjvlIL5o7rBqHP+wRMEYEJ/rqcTqdI7pWDeqG6I1WnRDOdxWGyKv7tKomFI8M+CyDV5SA7j6qRi6m0dMaF/mtsTn1i9FvNHdavbdbrmdkbvn+7GA9FrZTdPt5v3IsiNOfQXabH1+ql2D8pP0PdU1+xXIpP0W5NYY225ZjiP8/qWyLnqEfknBqpv8SOpL63NHS/p++Lu+5VpmIJ/6d6z/lFzh6rffCKqvYAsjjxw4ECIoog///wTeXl5aNKkCU6fPu3vl/W5iFgcGQB2fQ58MwmwVDpvq7FYotkiYvPBC5j9v33483QhOjWNx8rJfXglmvDSN7vx6s6+nncMxATtWi6QbKq0YOnmHPx65CJyC8pwKr8U+aWVGN2rJV4e3KnO7nABsAYuf6wA1s+WTZstAphlGYOFplsAAEdn3x64snlR7/Z1feDsZRy/VIqmCQasf+YG9isRzGwR0Xf2T8gtLMfwa5ri7b0DPT8pTJI/mC0ituXk4fSlEmSduISzBeUoKa8ABAGlFZUwVYrQaQVUWKzDnLccuYjL5da+oOb3vWZfdrawDH1K1+Ft3QJoIZN2nwskE7mlJjYISPbC9evX2/4/OzsbmzZtCsTLkre6jACS2wELBzhvG/sT0PRq259ajYB+7Rvi6KUS/N832Whe38gTIwIAlJosmGKajH/qF0Djag2dQC1aOnyR5wsJbuiiNBjXvzXG9W8NAPj753/gq6yTSEk01m3ABXi8Ci0A+FS4DYDMe/c3L+rdvq4zD13Afe//iviYaPYrEU6rEWyZYSZ01QFNXnR5oQFAyC6ILEerEdCrdQMADXDXtS087t9r1k+2oKummn3ZrO/3YsEvfdH5yh4Yu3eM8xNq/OYTkfcC/ivWqVMnTJwYegsVRi5lJ5SxVcMMi011cGJHQanEVIntlvbI7DRTfoeh7wIdbgtMYbyc1+VKrN7a3kvKg6C9u0sUAtTtvJZa1ruR/QrZKa76vrVf0RtY91rYLYhcF2J11r4jquSs/A4ehmATkXI+Cbr+8pe/4Ouvv4bZ7KYDpNAizcVIbmf3oOvFEo1VHXeJiW2ArIpNZmQapqDf7hccHreNZ171SGDnCng5r0uO1N6Lg6G9t+wJDHtPfps+HrhC5o51INWi3mP1Vf2Ki6v2FDlEUbT9vhQOnAkIbhJohOiCyHVBurAx5thz8jusHAcsHMh5XUQ+4JOg63//+x/uvvtuNG/eHFOnTsWhQ4d8cViqS4tvtq5jdME+i2HVYokyHbB05b84GK78U1AwlpzCmxV3w1Kjm7HdO/X3+lw1uVv0W+VJhXRntyQY7sDM7QysdEx8Y5upKy08XZdqUe+800USk9mCSou1Ycev/z/3d7m2/CdApQp90oWNRQ2nerW0BhEp55Og69ChQ3j22Weh0WgwZ84ctG/fHjfeeCNWrFjBTIWhSuXaRvoo68nRsQuXcdd7mfjbgs24b9FWjPvoNyzacASmSi4XECnMFhGZBy9g/oUxeDr6S2jg4rP39/pcNXm5XpccQ1Uw8Mv+c7h73mY8seJ3bDxwHmaL3/MSAbDW8ZbDF7Fq5ykc7PM2xBpX/aUEhRZoYblzYUDK5FIt6t1Q1a+UVVhw78ItuGteZsDrmuqe2SJi/d5ztr/39XrLqc1XC/DFnCBknx9ty+GLbr8rhqq5kgvyuuHVlH/L78S1uoh8wqfZC81mM/773//i/fffR0ZGBiwWC+rXr48HHngAY8eORceOoZ3qN2KyF0r2Z8hfpR6+CEhuCxgbAIktkZGdiyc+24myCteBlSAA4/sx3XO4y8jOxfMrdyO/pAJDNZvwZvQCRAvyV6QPXDUF7e5xsSCnv5zeKZ8gZvwviieLZ2Tn4vEVO2UvJMTqtHhrRFe/po/PyM7FjNV7kFtQhmY4j/pCETpEn8GbGuer+w+WP43fY65HmcmMsqryBjR7ocSLes/IzsXzX+1Cfqn8Xa5A1DXVPfs+xd5tht14D7Ocn3DvF0C7WwJUuuCTkZ2LyZ9kwT7OSkkwYNrgjk7flYzsXExZsRPlVX3DQCELS/RvwiJaF1W2qfGbT0TV1MQGfksZn5ubiw8++AAffvghcnJyAAC9evXCuHHjMHLkSBgMtV9pPdAiLuhSkO454+59mLgsS/Ehuc5O+MrIzrW1BSkYuEI4jXd0zvON8kUj/lI+B9NG3RzYk2aFFxJcsX+P7vhr3a6M7FxMWpZlmxd31OB5HaLUsuUOfwc86Mo/DhzbIr/2350LgVa9nOpcaT0D/qtrqnty7UDqWwZq/sDT0V84P+nez4B26QEqYXCp2T9IpPhpnt13Ra5ulfQn4ZKGn8hXgiLoAoDKykp8/fXXePLJJ23rcgmCgPr16+O5557D3//+d2g0oZMGOOKCrq3zgQwXk2s1UbAMfQ+9/puEs0XKh5BqBGDfzL8w/XOYMVtE9Jn9E84UlgNQ9uOdVrYcTRIM2PTcoMClXa/Fel1mi4jes9Yqau8pfnhfZouIvnN+Rm5Bme0xd3cTRRGYVvEAPrI4noAGPOhSWec125In/qhrqnuu2oFc3yKiRp7dCAwM5PoHewJg628ByPZlQzWb8Fb0fEQJMqNWuF4XkSw1sYFfznwPHDiAZ599Fs2bN8df//pX5OXl4f7778fatWsxZ84c1KtXD88//zyee87FCT0Fh54TgYfXym8b+xN+rXeTqoALACwi8PGWo7UvGwWVbTl5DidHU0yTUSHKz7kQReBl0wMQAeQWlGFbTl6ASolazS/alpOnuL37431ty8lzOKFqhvM4LDbF3ysmyO4/3vSEU8BVJ1TWec225EnA2xAFhFw7aIbzeLPiblSKQZKcJ4jU7B9qsu9vXfVlqyx9MdTkYokPzusiqjWfLY5cVlaGL774Au+//z42bdoEURTRoUMHPP/88xg9ejTq168PABg0aBAee+wx3Hzzzfjoo4/wxhtv+KoI5A8lF+Ufv3AA5Xnn0AzncQoNVR3yWF6JDwpGweRckXwwIDe0cLzpCfwo9pB9rt+pWPi7JrXl9PX7qnm8TMMUt/sv0s91GlpYJ7qMsKaulxvWOWyedVhn/nHbEENv6i2gbYgCQu4z9dTmA56cJ4go/Q542q8hLgGwXhwT7G8fXjgAQOS8LqJa8EnQ9eijj2L58uUoKChAdHQ0Ro4ciQkTJmDAAPn1YfR6PW699VZkZmb64uXJn9ykex4IINPgPGfEk1ZJxloXi4JLo7jqOZpqgwH75/pd/nHg/H75bef3A8YklycUasvp6/dV83hTTJM9Di0MGu7SxkuqhoR5U28BbUMUEHKf6QzT/Xgx+hP54W9ARK/PpfQ74Gm/Jfo3AdQIuADZ7yoRqeOT4YXvvfceGjRogNmzZ+PkyZNYvny5y4BLMnDgQLz88su+eHnyJzdDg0RNFF7WPq7qcBoBuL9Xqg8KRsGkR1oSmsTrAVhPjGoO/5GIIvC2aTgA65CglAQDeqQlBaqY1jWh5BI6ANbH3awZ1SMtCY3jdIpexh/vq0daElISDBAQQkMLJelzXG+rMcTQvi0pEfA2RAEh1w6m6T52HXABEb0+l33/IMe+v3XXl00xTXbZf3O9LqLa8UnQ9eOPP+LgwYN45plnkJycrOg5ffr0wbRp03zx8uRPXUZYh13JEMb+hN53TlZ1uHH90phEIwxpNQKmD7kKgPsTI0EAntKttJ0YTBvcMbAJEGoxp0urETBjaCdFL+OP96XVCJg22Jr5M9MwBf/VvyQ7fBOw3k0MKh7mh9oPCbNvS0oEvA1RQMi1A+tcUVe/H5E7nwtw7B9qfhtq9rfu+rLtlvb4e8VE+RcZ+h7QsqdvCkwUgXxy9nvjjTf64jAUjDwMx0pvXoH5o7rBqHO1UKWVIDBdfLhL75SC+aO64QXhcZcnRhWiBlNMk9EkweCQvjhguowARn4iv81+fpEL0nt01d5j9Vq/pjBP75SCeaO6YVrUFI+JSiT1jdG2BVDrlDZa8a5SPScaXT/H33VNdU9qB/X01gslqyx98bDpafmd7/0sYudzSaT+oUmC4xBCuf7WVV+WaZiCf7m4mONpNAARuefXlPHhJuJSxgOK0z2bLSI2H7yAL7NO4OSlUui0Ao5fKsWp/DJc26o+lo/ryTtckSD/OCovX8Ar732IV3QfOW3ecc1rMHX6G3qkJdXd3YlapI2X2Lf3jOyzKDdb8NJtV+LBvmkBeV/mvGN46s35sidH/4qdgiP1uqNZanv0aZuMnlc0wNUzfkBRuXWR4TpZHBkATmwDlo8AtHrg8pnqx2+dDbTqKTtB32wRsfXwRWw8dA67ThRg54l8lFRY8OSNbfHojW15hytCbDp4Hs8t/g6tYkpxb2sT7jgkMzUhgtfnqslsEbEtJw/nisrQKM7gtr+V+rJZGfuwJ7cQjyXvwFMlcyFYZBa112iBYfMjPrglsqcmNvBZ9kIKU8MXAd9MAiyVztukdTtgHdrQr31D9GtfncnwvfWH8I+M/UhLjmXAFSnmdkYUgFdcTH3q/vuLwNA6nuyePsft+nNSm3bHvr3f8e+NyD5ViDaN6wUsCNC+0wX/qlHH0lpFU4r/BRQDmBRkk90X3yz/+P+er/7/GsGuViOgT9tk9GlrHbZ+3/tbkXnoIlIbxjLgiiBlFRZrgh4RwCEXOy0fyQQPVbQaAb1aN1C8b7/2DZGTV4yXV/2Jwym3Q7hhiIsMrz+7zfBKRO7xTJjcq8VwrFidNaYvMclcMaPwNHwRRFdzpgD3CRUCRcX8IiWMddHOhy9yGsIphSAitME5t2X4IkBwMQxZ0AI3vOR2aCdQXdfF5exTIkmxqdKa4AFu2k8wtvkQ4vDdKjojv9OFA8Dp3z1+T4lIHoMu8sxduueFA12O8ZbGihebZO6SUfjJPw4kt8XFm+bKbx+5zBrwBAM368+pPamIldp5eYDaeVU9u5rsfvb2D4Nz+E+XEYDoIlgSzcC6Vz3OF5HquoR9SmQpOIHDYlN8kPys/Pa/LQ/ONh9CHL5bXv7mE5F7HF5Innk5HCu2avJzCa9KR4aqH2KX+Us/GxU8w39UrBvliVEf4DtdVfX8joshnE2+ewC4LkjquaYbXrIGV3IUDO2U6pp3uiLL0HW3YqgewAUXO3BoYa05fLcUTisgInUYdJFnPScCzboDi29y3jb2J5djvKWMaXtzCzD83U0wmcWqdUIaYHTvVM7zCjOVQxdA8+1kaFzdzQiGoYUSH55UGKKsA/uWZh7B578dhz5KgxhdFLo2T7QlsvDp/CM3ZRdFYP81L6GtRQzOOU9X3wtsfRcoveS8zU1fItFX1fXKrBP49fB5CBoNjHoteqSyTwlHUpKHLTFP4cmSf8kuBA4guPqWECX9XuecL8Jdm5qhfdI/8fqFx5x3VPA9JSJ5zF6oQkRmL5Tsz5C/OzB8kXVeV43MYxnZuXhixU6UVbper2l8P6aQDxez1uzBdxu2obtmv2xGvV3dX0eXfoOdstPVqdM75SeLj/9F8UnFrDV7sGBDjtt9Eo3RmD28s29Sm+cftw6NvHDQ8a5clXHlT+BHsYfTa3ae9r+6z14IWMufsxFYJbO+350LgVa9XLYRT3XNPiW8ZGTn4qnP/0B90xnUF4pwhXBafl26kcuAKwcHvoBhJCM7F098thNlFdW/1wOFLCzRvwlRtH63bFz85hNFKjWxAYMuFSI66FKRZjsjOxcTl2UpOizX7gp90snwUcO9TtucfrCDZQhQ/nHg2BbrujM1eTj5lygJuOz5ZE0pBd/D1LLlTq8ZNEGXl+n61dQ1+5TQZ/8bItevOAmWfiUEufq9Dqn+nKgOqYkNOBaDlBm+yDrsSo4mypY5ymwRMW1VtuLDLtqYA5OLu2EU/EyVFiysOhmeYprsnFGv6ge6QtRgWtQUmC1Bco1nbmf5gAtQtACo/ftWasbqPbV//26yQ9ZcFNlnr+lLCvsRe2rrmn1KaKv5G2LtV1wsBA5waGEtuPu9nmKajEoX/bno4rtKRO4x6CJlWvYEhrpYpX7oe9btALbl5OFskUnxYS0i8PGWoz4oINWFj7cchQigGc7jsNjUZUa98aansPTy9diWkxfYArrixcm/Pel9q5FbUFb799+yJw71+ofspr9XTMBPlu6+f01f6jLCOidEjot0/Wrrmn1KaKv5G7Ld0h5PV0yQ3feXDtOBDrcFqGThx93v9XZLe5f9+aFe/7D95hORckykQcq4u/Iv3TGYXoBzRWWqD30sr8TLQlFdkz67TMMUt/t9qH8TqWXLvWofftFlBKCPl5+naL/+nIshht622Vq//7md0bbGQ9KQn7d1CwA4Di/0yWv6mrs1gCA6zRXxpq7Zp4Sumu1Vrm+R2vzAfdOBfdM5zM1L7voG+3qX6lv6b9vMp4BMsN6JVOKdLlJm+CJA42JhSk31wpSN4gyqD90qyVibklEdkj47t0OA7Ia9edM+/KYWa9F422Zr/f6HL4KlxgKx9kM4p5icE1QEVZ0Dquvdm7pmnxK6arZXd8OWLdBwmFstuOsb7IcXSvVtG17IxaiJvMKgi5TpMgIY+7P8trE/24YF9UhLQuM4FwsIydAIwP29Un1QQKoL9/dKhQBglaUvhplekd1nmGkGPrKkVy0XkBTYArrjbi6IhyGG0vtWo9bvv2pRZPFO+XT2401PYZWlr29f0x9UDu1UW9fsU0Jbzd8Qa98yU3Zf88M/c1HkWnD3e73K0hdDXdS7xcVQYCJyj0EXKeduWNDp34H849BqBMwY2knxIcf1S+PaOiFMF6XB09cb0Ek4gtbCKYdtFtF6qpyEIgDAtMEdg2vtqJ4TgRGfyG+zH2IoQxelwfj+aapertbvf25nYOFAaF0kAPlQ/6bvX9MfuowARiqvd7V1zT4ltNn/hjTDebd9S3Tp2YCXL5x4+r1uCOt6ejVz8WgvHrT95hORckwZr0JEp4wHVKeNf+rzP1Bikl/MkmvqhBG7dlFz7L8k4+59vlmnyte8TGEumbVmDxZuyHGb6KG+MRqzfLFO167P3S6KPK3iAXxkSZd9zaBJGS/xot491TX7lPCSkZ2L9C872P521bdwXlHtufq9tk8bLwLyd5xZ/xThuE6Xn0R80OXmpA+aKOtVarshB2aLiM0HL+DLrBM4kVeCi8UmHMsrReM4HTY+dyOvRocLN+3CAi1w5zxourqYx1PXts4HMp6T3ybTpuWYKi1YujkHvx65iNyCMuijNNh1qgCVFmDW8E4YcW1L391tcrGg89DyGWjYvjfap8Sjd+tk9LyigcNrBl3Q5WW9S3W9LScPxWUVOHqxBKcLy9EzrT4+ergn+5Qws/Wbeej++4uIFmQu3gla4M75HObmI/a/1ycvlWLH8XwM1WzCW9HzESXILMGgsH8kCndqYgNmLyTlVGZ802oE9GvfEP3aNwQA/HY0D/fM3wKjPponR+GkywgguZ1sMKAZ/zPQ9OrAl0mpnhOBZt2BxTc5bxv7k6Ky66I0GNe/Ncb1b217bMAb63DsYgnaNY73TcCVfxwouQhcOOjwsEUUoBFEJKEIM4Z1RrPEmNq/ViB0uA3QxwGrnBN/2C9BUVPNup679gDmrj2INo3j2KeEm/zjuGBohb9XTMA7OpnlSv62HGiXHvhyhamav9epz3+HVZa+KDAZsURm6LKSLK9E5IhBF6njLvOYxMVwA6POmnWtuFzmThmFrvzjwIX98tsu7AeMScH9o1xyUf5xFynMlTDqrF1riclHbV0mk6IoAhrBOlDhQ/2byNe5uHMUjBQuQeFJrFTP5fLDmCmEze2MOwDc4Sov0/KRHNoWALIBF6DoN5+IHPHSIKlTi4xvthMkF/O8KETN7QyslE/ugJXj3Z9gB4NapI53JdZ2gcFHbV0m41/NVPFSoBcSFC5B4YlRX1XPvgpuKXgMXwSz4KKNAO5/i8hnppkecD1nVcFC8kRUjUEXqdPhNuvwHzluhgUBjidInEoYRlSmAA866bOt80PkCFrrdpWMeh/f6eoywjrcUcYw00ysEfqF1vC6LiOAkcvltw2b7zZzpD1eyAljLXtiVauX5LcNfdf6W0R+t9bSHe8lPCW/0cNvPhE5CqFLoxQUajEsyBBlPbEVReDxFb+jZZJRdtI/hZCqtaNwx1zg20edt//1k+Cfd5HxvOttotm6veckVYeMibK250UbjmDjgfMY3q05erdJ9q6de5jP1QiXcAhA5qELLr9L9hc5thy+iB5pSXX/navFUGWJoSrQzD5VgPEfbcd1qUkY3Ts1tAJQkje3M4a72rbqEet/OazN7zINU4CqanbKYKhiKDARMXuhKhGfvRCoylQ3EbDIXFnWaK1XqWWyGWVk5+L5r3Yjv7TCaVuiMRqzfZFSmwKvlinXg8Kuz4GvJ1oDrJq8yJA2a80eLNiQ4/R4rE6Lt0Z0Vd/OZeq45slPapn1rpHcdykjOxeTlmU5DBFKSTBg2uCOdfudq2XmyIzsXDyxYifKKh0zqzF1fOjLyM7Flm/m4aWKfyNaLnMeMxf6VUZ2LiYuywIADxkMXf/mE0UKNbEBLweSOu6GBQ14XnZYkNSBywVcAJBfUoGJy7KQkZ3r69KSv7kbWgiExryLLiOAv30mv+1vn/kk4AKAYpPZu3YuN5+r6r/SfC5Jze+SXMAFAGcKyjCprr9ztVicWupTagZcgPVO+oINOZi1Zo8vS0sBIrXZpZevxzDTTPmdxv3ME30/sQ+4AGCVpS/GmlwML1QxFJiIGHSRN1wNC1r3mlPiAbNFxPRv/1R02Bmr98Bs4Y3XkCENLRw2T377yGXWE+tQIHeXCwByfwdO/67opMJUacFCFwGXPdXtvGVPYJj8PMqnKyZiu6W97GuYKi2YsXqP7CR40W6/Ov3OfX6f/ONukpiYLSKmrcr2eOhFG3NgkgnKKHiZLSJmrN6DpjiPTsIRtBZOOWy3iNbLDeZCXqDzB1e/124zGHqZbIgoEjHoIvXc3b0QtMANL9lOUrfl5OFMYbmiw+YWlGFbTp4vSkiBMLez9QfXfg6Ovc9GBbQ4taLiQoIrH2856jrLlx3V7VwmO6Q0KPxfuvescy5kXuPjLUeRW1Dm8rCiN2XxNS+yoW7LycPZIpPHQ1tE62dCoWNbTh5yC8qQaZiC/+pfwju692xt3X6JBO2Kv9ZhKcOXq9/raaYH4HIiSigkSyIKEgy6SD13dy9EM7DuVdtJ6rki1yd9ctTuT3UoHIYWSoYvcp/B0O5CgivH8koUv5yqdi5Ttprp4mtTnjr9znkxxFBNedV8JlT3pM92imkyKkRrm5faun2b39E9hPqWEOLqu7XUko7xpifln+RhKDARVWPQRd65wUUqX8DhylejOIOqw6rdn+qQmzTmePjH0BlaCFjfi6shhjUuJLjSKsmo+OVUtfMuI6xzWGQMM83EKkvfWpWnzr9zKocYqimvms+E6p702a6y9MUw0yuy+wwzzYSp4z2BLFbEcPfdWqT/p/wGDjEkUoxBF3nn6nuBmPry28b+ZJvk3CMtCU3i9YoOmZJgQI+0JF+VkPwp/7h1rtOFAw4PS3MuUBqCw0QVXkhw5f5eqVCShF1VO/dQz41wyeVr3N8rFSkJBpdlEtSWxV9UDjHskZaExnE6j4fVCNbPhEJHj7QkXBNfiM5u5nN1iC2u+zYbptz9XnOIIVHtMegi7yQ0Awb/R37bhQO25ANajYDpQ65SdMhpgzvW/dpBpIzMfC77ORdY7mKOVDBTeCHBFV2UBuP7p3l8GVXtXK6eUV3PH7qY4D5tcEfoojSYNtiaNr3mqwl2+9X5d07lgutajYAZQzt5POy4fmlcryvEaDUCvjZNxGo387neqny97ttsmHL3e80hhkS1x18k8p7CYUHpnVIwf1Q3JBqjZXevb4zG/FHduE5XKJFLY151HiQK2tC86imagVtek992fr+iE4qpt3XEhP5psneXYvVa9e1cRbp4wPm7lN4pBfNGdUOTBMdhQ00SDJgXLN+5uZ2BVfLz0vD1eNlhS1KfYtQ5z8MTBGBCf67TFbKGL4JFkJ/PZYEmNPuWEOLu95pDDIlqh4sjq8DFkWvYOg/434uuF5W99TWg5yTbQ2aLiK2HL2L1rlNY8dtJ6LUCPniwB3pe0YBXLkPR6Z3AwgFODxeP+QmxqdcGvjy1pWSh5yd2A4ktPe5mqrRg6eYc/PvngygsM+Opm9rikUFtvWvnLur59vLXUNmwM26+qjEAAb1aN3D5XTJbRGzLycO5ojI0irMOKQya75yXC64D1ve1+eAFvPHDPuw6VYgrm9TDqkf78Q5XqHPR5jH+F6Dp1YEuTUSSfq83HjqHH/ecxeHzJXgl4VvcX75CfsiyzG8+USTg4sgUGBnPu08+kPG8w0NajYA+bZPx2I3trLsIAvq0SQ6ekz9SLv84cGG/w0PS5ZvovIOhOcxEyRV0hVdydVEajOvfGlc1TQQApDasp76du5jPJd3raoRLSKqnx9O3dsDTt7Z3+13SaqxB2dCrm6FX6yC7yOHFgusSrUZAv/YNMapq7lZKopEBV6iT6VtsLii740y1J/1eP/+XjnhskPU3+wFXARcg+5tPRI7c5Hsm8mD4IuDria7vdN05X/ZpsVVDgkyVFlSYLYjW8iQp5LgJPnTfVmUtnF4QoML4SJcRwKVj1kyFcjRRrheCdiFWb23rJeWV6svjso6r53Pdr71F/XGDkbt10tZVDfl0055iddafsmJv6pmCi7sLG9J6daHWt4Q4aRjv3Phn8ETR26p/84nIime75L0uI4AhLpJp3DrL5RVqo6461i8xubhTRsHNzZyukM5k1fZm19sUJNOoSWrrxd60czfroFlgnc8VVHesakPFgutyjFJwy/4k9Llb/y+U+5YQFqu3fh4Zmv5e/eYTkVXIBV3Lli3DhAkTcO2110Kv10MQBCxZskR2308++QR33nknWrdujbi4ONSrVw9XXXUVnnzySZw6dUr2OaTSKhfjtzOedTmxVhelQbTWerJYYuKV6ZDkbo0uL4KToBHbENC7GJNtl5VT8eFqc6fLTR3/2OdTrLL0RVS4BF0qFlyXY7vTxf4k9IVr3xLCpDtdxaZKr37zicgq5IYXvvTSSzh27BiSk5ORkpKCY8eOudx3xYoVOHjwIHr27ImUlBSIooidO3fiX//6F5YsWYJNmzbhqquUpTMnF9LnABnPyW9zMRzLbBERrRFQYRYxedkOCAIQEx2Frs0T0adtMhNrBLv840DJReDCQYeHLaIAjSBiz4EDaN+ka2h+hgnNgPJC+W12aduVDm+S5hd9ueMEthw6DwgCys0WtKhvxF3dmqO3uzmNcvPmYJ3R9dtvW9AMaTh83ojMQxfC4ztzw0teD+3UV9XzqbwS3PVeJnRaARqNBka9Fj1SG2B071TO9QoF+cdhvnwRh/Zkob3dwyIECBCBy2fqrGiRzBBtDbpy80vxftJEPHx5vvzcLi+GYIeboE5aRHUu5LIXrl27Fm3btkWrVq0we/ZsTJ06FR9++CHGjBnjtG9ZWRkMBucV1hcvXoyxY8fi7rvvxhdffKH4tZm90IU9/5VPHz98kXW4gbGBLeNbRnYunl+5G/klFS4Pl2iMxuzhnYMjnTU5s8vyJwUBomg3vBDA1ZovQvczVJmV05VZa/ZgwYYct/vE6rR4a0RX+XqSyaZYs55Ty6wJKMLiO3NiG7BsOFBe5LztzoVAq16ymSMzsnPx5Gc7UVphcXloQQDG92Ma+aBn37dUtfWabZ7zuQJL7vt1s/CbfPp4md/8SJKRnYsZq/cgt6DM9lhKggHTBncM7b6Z3Arr7IU33XQTWrVqpWhfuYALAO655x4AwKFDh3xWroimcL2ujOxcTFyW5TbgAoD8kgpMXJaFjOxcHxeUfMJ+HZ2qh6STImntqJD+DFVm5ZSjJOACrHO9XNaTm3lzFaLWYY2ukK5vyeKb5QMuwOV6XVKf4i7gAqwn7gs25GDWmj2+KCn5QUZ2LqaYJqNClF+jS+pbQrqNhxhX3y+u1+UsIzsXk5ZlOQRcAHCmoAyTQr1vJp8JuaDLF7777jsAQKdOneq4JGHC3ST4qonPZouI6d/+qeqwM1bvgdkSUjdiI4K50z14UDtbdtsw00yssvS1/R2Sn+HwRXDdNWo8JnUwVVqwUEHAZU+2nrqMQMWDa2X3H2Z6xaGe3R4nVAxfZF2XS47GecFts0XEtFXZql5i0cYcmCrdB2gUeNLvwypLXwwzvSK7j9S3hHQbDyHuvl9vm4bD1RgpUdAC6fK/D+HKbBExY/UeyFWJ9BjbLQEREnR9/vnnmD59Op599lncfvvtuP/++5GWloZXXpHv3CXl5eUoLCx0+EcyOtwGDH1PftvQ94CWPbEtJw9nCstVHTa3oAzbcvJ8UEDymfzj+HP7L0gocQwqLGL12lH2QvIz7DICgKsTc4vHpA4fbzkq++Prjqt6+m7XacdXF93PDQjJ+paoXK9rW04ezhaZVL2ERbR+PhRctuXkQVt4Ep2EI2gtOCa5qtm3hHQbDyHuvl9P6VY6Dvm0I0Tgel3bcvKc7nDZE8F2S1Yhl0jDG59//jm++uor29/XXnstVqxYgbS0NLfPmzVrFmbMmOHv4oU+d0MJvrauq1J0y49eHfpckeuOjOrA3M7oAuAdneOcC41QvXaUNM9IEpKfYS2SOhzLK/HqJR3qqSpZSeHF07Z6LhF1OCk2RDIKEC26ztIXkvUtUbFel7fv09vPh/znXFEZMg1TbH976ltCuo2HCHd1PMU0GW9Fz0eU4HxxyiJooYmw9bqUtke2W4qIO11ffvklRFHEpUuX8PPPPyM6Ohrdu3fHzz//7PZ5U6dORUFBge3fiRMnAlTiEKNg3ZRbfnCz/pEbjeLk5+VRHRm+CBbBeq3G1ZyLmkLyM7z6Xtep4wc853Y9mlZJRq9e0qGe5nYGFg7EA0eettVvDExopzmFJOEyvjFMU3acUKNivS5v36e3nw/5T6M4g6L5XPb7k3+5q+NVlr541jROdtvpDg9F3HpdStsj2y1FRNAlSUxMxA033ICMjAzExMTggQceQEWF66QOer0e8fHxDv9IRpcR1pMhVzRRsNy5EE3i9aoOm5JgTbdKQaTLCIhjXc0zmuk0zyhkP0N3qePXveZ2svj9vVLl0ym74VRPKpJouD1OqFGxXlePtCQ0jtOpOrxGsH4+FFx6pCXh13o3epzPBYRBGw8Rnr5fb+sXyD7efO+iiEum0SMtCSkJBpf9vgC2W7KKqKBLEh8fj549e+LUqVPMYOgrbd3cyRo2D5qG7TD7xkRVh5w2uCPXtwhC2hqD+d0tOhHSn6GKuy72dFEajO/vfuhyTU715GaBWFdJNGSPE4p6Pep6m90kfa1GwIyh6pIhjeuXxvW6gpC28ATe7id6nM8FhEkbDwGevl/TTA+46fs9JxwKJ1qNgGmD5ZejkFoq2y0BERp0AcDp09YJ6tHR0XVckjAR29D1tqo0sgO/vxHzR3VDotF9ndc3RmP+qG5c1yIY5R8HLp8F9HG2hyqhQZ5YD8nIRzOcBxAmn6GKuy41Tb2tIyb0T/N4xytWr3Wup/zjwOnfgQsHHPZ1lawECJP6lmz5j+ttNSbpp3dKwfxR3WDUuch6WEUQgAn9uU5X0JrbGb1/uhvv6N6zJaGpOZ8rrNp4iHD3/VpqSXeZTENJwqFwk94pBfNGdUN9o+PdwSYJBsxju6UqYZtIo6ioCKdPn0b79u2dtn3wwQfYtm0b2rZtizZt2tRB6cJQQjPglteAH16U316VfCC9Uwr+v737jo+qytsA/tzpqRNSICEgBERcCKCoSBcLyMqCCoplYUEEBERR7Mq7gKuCa1l3LahYQFkLNhBLXAtNQKIGlICFEiBCaAmZ1CmZOe8fk5nMZEpmkunzfD8fJbn3zszJnXPPPb972she2fhufzk27zuBn0t10DeY8VOpDmYB/HNCH0w4rzOfCEUqNzdRBSxIl2qwUv0EAGDLpP0Y2C0jNr7DNkyo8cAVvXDXqLOxcmsJCksqUKs3AZKEHw6dhtEssOCKP+GmoXmu58lDRcWxAvrXjgXITNGgU3oCBnfPjJ3zDVi7Vn40y/Pi1M0G6dvKlK17T+H9olL8cboeKrmEPyrrUXpaj3M6p2L1LUPYwhXJxi8H1swGLA0ua/+ZIcP+IU/ih0tHxk4ejyLuri+zxYKdf1ThX+aJuFO+2v0LJTkw4gHrQ6Q4WSh5dH4O1Ao5blrxPQDgv9MvjK2ymdpMEsJb56DI88orr+Dbb78FAOzatQtFRUUYMmSIPXgaOnQopk+fjoMHD6Jbt244//zzcfbZZyM3NxenT5/G999/j6KiIqSmpqKgoACDBg3y+bP9WXU6bu35xP1iyS2sVD9k6Tc4UlmPtbcOQb/OacFPJ7XOz6vtlaPmhEwB6apljVOux4jSQmDVePeL9l79MtBlkN8Vir88uxnFR6rw+k0X4OKe7V0P8HKOTUKGDb0WY+R1t/v1mVFnx1vA2tmu2wfdBvSZ4LEccfTqtyX4xyd7MK5fR/znhnODlFAKmKM7gZcvct0+cyPQ8ZxQp4a8+ON0HYY+vh5nKE5jk+LWll/QOONoPNj4+0lMea0QAPD7I3/mw5444E9sEHUtXd9++y1WrlzptG3Lli3YsmWL/ffp06cjKysL//d//4cNGzbgyy+/RHl5OVQqFbp27Yo777wT8+fPR6dOnUKd/NjnLuACrF0MbdwUwLbuC7VGz1NhUwToOxHIPMtt5aj2b18guev5YUhUEL3qZaxi43II/lYoElXWYrfO4KYlB/B6jq8y/gMTO//Fr8+LSu4CLgDY9qz1P6DF857UWKbUsUyJKgLWcTC2fynyJDWWYYcb2sF8yX2Qb/Iw/rWF3gCxyLEdg4shU3NRF3StWLECK1asaPG4pKQkrrEVRRLVLVREKfwa147Cqb1Omy1CgkwS0NSfDFPCgmj8cuCjWwDhbrFkCbj4Ib+7zyS19ICh8jBw6je3u86UjiCz4TiArj5/XlQa/ThQcJ+HnTLg4gdbPO+2MqWWZUrks40V1aRB0lcCAMyQQ5GgtW6Poy5q0SBR3TTGq77LxUhWv+C+N8CVLwBnDAxhyiKLObo6klEIsN2TAmv8cmtfbrdkHtf0arEiSuHXuHaUY6ulQNNYI8W714cnXcHUd6KHgAsARKsGizc9YPCQ15/pA3w40+2uf6tewJhvRvn1eVHJ2yQmPg7SZ0tXFHmmD/DWRKAx4AIAOcxAfYV1exxNyBANVHIZFI3jlJLfHO0+4AKsvQHi+LtjSxc1x6CLAqvvRODyR93v63Sex0UTNY39nl9Yvxd/+c9mzFj5PZZvOgBjg6cKL4Wcu7WjGv9tEDLsHfJ0bN5kvK1B52XqeE80CutZe2Nrifu87uY825iEHP/r+Y/YPM/NtfG8axTWoGvfiWpcs2wr7nhnBzb/fjI+zl20Gb8cwkPZApnC48M6Cg+LAJSNtcdnUu+B2WNVUoqrqeObs7CsoWaibiKNcOJEGj5apG35mDt22buLLPlsD17aVOL2MEkCZg7jVM8Rw8Ng9zGGR7Fb5CFHq8HCsb1ia3pc3RHgXz7kPx/Gdvma11977yNM2z3V5RjbeU5SyfHUxH6xdZ6ba8N5Lyguwx3v7oTe5PrQJi7OXZQpKC7D8tUf4QPZAy77Xuu9AtOuvToMqSJ3CorLcP+Hu1BZZ7JvO6i5seUXxslkGht+O4Gpr1tnL/xhwWXITFaHOUUUbP7EBmzposDztqisTWOXA2+VUMC6VstLm0qw5LM9gUodtcHW/aecfretHWVTptNj9qoiFBSXhTJZwaXNBS6c43m/w4K93via18c9txkfFLlfJNam1mjGrFg7z8218rwXFJdh1qoitwEXECfnLops2P4Dnvvv+8htKHXabsvzm4uKWf5HCNu15RhwAcATpms9v6gVvQGimcWhHYMtXdQcgy4KvIGzgItcn1jaNXYXMTZY8LKXSqij5ZtL2NUwnCoPw/zHDqzeWATbPUUvlNgnOqJCJEMpnMfNLF63J7a6cW1/wfO+Zgv2uuNrXs/FSViO7EQOmoLbGqGOn/PcnJ/n3WwRWLi22Ke3jvlzFwXMFoERn1+KT9QLrAsjN34dzRdGZvkffmaLwKKPd7vd94F5uOcXtrCQfKwxO2RTTqRBzTHoouDwtq5K44xGb247CF+LJIsA3tx2MAAJo1Z5pg/kr4zAMw1N4/XUMOEs2RGkSzVYo1lo3y5gbfEqLKkIQ0KDZPxyeC4uWx634Gte36KZh0/UC/CK+l/2bYkwuD3PQAye5+b8PO+FJRU4Xm306a1j/txFgcKSCswzzoFJWMff2RZEtv1rEjLMM85h+R8BCksqcKzK4HbfMWRguWm05xf72BsgFjg+yOFDHWqOQRcFx9vXed7XOKNR5bEDfr3loYq6NiaKWm38clgkTxUjOeYZXbuBnajWhyp1wdd3IoDWz2Loa951rIDayOLpPDfn53n391zE9LmLAieq9VhrGYqrjA+73X+V8R9YaxkKgOV/uLV0rcxQFnje6UNvgFjh3L0wjAmhiMSgi4LDh9mm7to9wa+37JKe2NrUUFv1nYjiP3/kdtdVxoftFSNH7VM0wU5VaHmbTQ8yr61dvuZd7xXQODnPzfkxi6G/5yLmz12E83T+m49hBFj+h1tL18o84xw0uPnerOJnFkOnli52L6RmGHRRcPSd2GJlqeGiB9EJvi2oK5OAyYO6BiZt1Cq9c51n5XFXMQKsUz3naDUYkJceglSF0DneZujyvnbU5EFd4ak6YpOLk8iXDqC75H4SjfY47fKamDzPzXk7783GiwzIS0eHFJVPbxsX5y7C2b6vcpEKY2ML70lLKnaJPJwQWpQLa5nD8j/8BuSlIzvV80x8ay1DoZA8BRmtW9MwGjm2dLF7ITXHoIuCp8dIz/uEGYqNj+FbzTyf3mrGsDyoFMyuYVF5GDi6A/Lak/ZxSSYh8zi5AwAsHNsLcllLYUaU0eZ6nyDGyyxdKoUMM4fneX1723gubxMKNBeT57k5P2YxlMskLL4y36e3jYtzF+HkVaX413AgQ6qCufGxRJKkx4OmaZhpvBPyxq6lLP/DTy6TsGhcb6/HcBZD50DLwpYuaobrdPmB63T5SXcEeLY/0OChL7gkBy5/FEsqLsLLm0rcTjTAdboigJt11wTg1HLTVf8WAMTmOl2O2rhm15LP9njM61fJv8VTypcgh9lln0nIcLdplr17YZJajqeujaO1pnxZ+8/hnBcUl2H+6p9QZ3Q9l3F37iKZw/cqhLW8t/1rs2TANpb/EcTdOl02OVI5tqlva/lNYnjNrvd+KMU97/8MAPh83jD8KYd1xVjnT2zAoMsPDLpawcfKkrHBgpVbS7D9QDn2HK3G0So9erRPwqe3D+cTznD7eTWwZjZgcW3RMgk57jbdAtFnIm4YcAYG5KXHfuvB5w94nsq88UECBs72+HLHvP7b8RqUnq5HpzQNvrn7YqhO/Ox28enbU/6FIwk90Tk9ERP6d8LgMzNj/zw7+nk18NEsa3dCFxIw/uXGSTeamC0CW/eewvtFpdi09xRO15kweeAZWDQuP77OXSTzUrZYJDks416A4tzrw5Aw8sZsEfhufzk27zuB9b+exG/Ha3BGuwR8ddcIqL58qE3lY7R79/vDuO+DXQCAT24bivxcH+pAFNW4ODJFDh+nfFYpZJgxvDtemToA911xNgCgfaqGAVck6DsRmP612122yR0u7JaOQd0z4qMy28Y1uxzz+mPjrWMcUhJUbvO6bTzXf27ojw/mDMEz15+LYWdlxcd5dtR3IjDuOff7VEkABPDb505dl+QyCcN6ZuHfN/THyF4dAAA5aQnxd+4imZeyRTbjGwZcEUoukzCkRybu/3Mv3Dvaer9ul9RYhrWxfIx2jut0sXshNccaLQVXK6baTlQpAAC1BndPtSkSNL+VJDV+Z3HB64ME+DVuwZbXU/RHgaM7gJoTsHXcNEPCPtERDep2gNm3tadi2loPT8eNNcCHM4G3r/c4UN92nutYpkSWysPAqd+cNtnLllO/xfz4n1hgv1/buvK2cU3DaGfmRBrkBYMuCj4/p9pOUllnsaozunY5oTCoPAzUHAfUDt0kJDkqRDIyUYlcnESiSu759bHG64MEND1I8KFikaS2nrfV9TOBl0cAb10LW7VTJgTOkh2BwnAaeNXLpDTxYvTj3vdLMo9LVdjOcy3LlMjyTB9rwOzOhzPjYra7aGe7tuoMjddWG9c0jHYWTqRBXjDoouDzc6rtRDVbuiLKM32AtyYCBofBz8KMdKkGK9VPYItmHpLUcdTSBbTwIKGRDxULWwvhvZa5gMz5HNomExAyhU/r3sW8gbOAm7/yvP/ql4DMHm6DXbZ0Rajxy13zve0H5vuo4NLSBbRQPsZ2a5fTOl1cHJmaibOaEoWFbartjUvc75fkwIgHrIVw2hnQNI5tOa6rx4QXtkCtkCErRYNO6QkY3D0TA7vFydihSDF+uctgd9vZt02kce7x6vj6Xs65Edj8ZIszc7ZE3ZjXVxsHQ9G+Jx475Trz1/eXvofz8i9GHLUleiZXet734Yymn5vNjpagtJ7nTb+fwPjnv4WhwQKNUh6/E5NEir4TYc7oAfnyEa77pn8NdDwn1CkiP2kary1dvQk3vrwN+gYzcmVn41mPr2hs7Vr/CHDHLiDtjFAlNSS4Thd5w5YuCo3+kz3vc1jgtKC4DFe/sAUA0CCAHw9XYuuBCqz96SieX78ff31lO8575EsUFJeFKOHky0Qai9btia/vRZvrOeACmgaMe3maW1BchlH/2mj//acjVdaXOqzRBQCLP4mzc+tNUpbfLykoLsPSAuu4obIqA4pKddhdVo0fD1dizc6jmPxaIfou+oLnNwwKisvw11e2O22zTR6zdf+pcCSJ/FBQXIYx/9ls/33rgQoUHdZh3UEZnjZNaPkNYrCbIdfpIm8YdFFoaHN9OmzWqiLUm7y3yVfWmTBrVRErSaHQuDDyTzsKnTbbKkbtcbrp0Hj7XloaYwR4rFQUFJdh1qoiVNZbWw9zcRKZqESlSLJ3K2yAzD5uLqnuaHydW0+0ucCVL8DXgfq282xs8F6m1BrNPL8htmH7D3juv+9DpS+3P2CoFSr7ouv//LSY30cEs11bunr34yRXm0egVqi8vIPMvqh5LOFEGuQNgy4KHS+VVAEJy2TXIxcnfX67xev2sFALtmf6AC+PQL/v73FqgZFJ1l9eVz/p8pK4+V4GzgIG3up5vyR3O3bBbBFY9PFup21bNPOwUv0E0qRa+zY5LE7j5oA4OrfenPtX+DJQ32wRWLi22K+35vkNDbNFYMTnl+IT9QK8of6n/UFDIow4S3YE6VIN1mgW8vuIUO7KsOaOIQNJkrdZVy0xOX2840QaZrZ0UTMMuih0Bs7yuEuCwGzLO/bKpS/KdHoUllQEImXkyfjlsEjWoZ+2ipHtX5OQYZ5xjstL4up7abYgrxOHbrOOCksqcKzK4LRtnnEOTMJ51JbMfp7l9vMcV+fWm0G3e97XGOzu3LULx6v9m2qf5zc0Cksq3OZ5qVme5/cRmdyVYe4sNP4NXuOO8292WV8v2jmt08UHBtQMgy4KLS+VJZOQ4QnTNX61dp2o9jKuhtqu70Rsuugdt7uuMv4Day1D3e6Lm+8lKQtQaDzvl+QuXWjcnZu1lqG4yviw27ewjZvz9vq44+UBji3YPe+jYa16a57f4DtRrfc5z/P7iDy+ficrLaPtgbRbP7zqdX29aMTuheQNgy4KLS+VJaVkwT3K9/1q7Wqf4qXCSwGRnujcL982nsubuPleWjGhhq/nxtN5jptz642PY0Rbg+c3+DydY3d5nt9H5PHnO3nCdK33A7ysrxeNuE4XecOgi0IrgJWlHK0GA/LSA/Z+1EzjJBq9tXr7CBqTkNkHuiuF+wHUcfe9+FJhcHiSOyAvHdmpavvvuTiJfOkAMqCzd8WpF0q35znuzq03LUxkYhnxEPol67we0xzPb2jYroFykQqTsFZDjlgysEvk4YTQolykAuD3Eamal2HefGAejkqR6PmA/lMAdUrMdDF0bukKY0IoIjHootDzNqGGAN5ouMSnLoYLx/bi2jrB1DiJhvztifZ1uRSwOA10dyfuvpe+E72PMWo2o55cJmHRuN72vVs08+wTCthoYHJ7nuPu3HrjrYshANmGR7G2YbZf3ZV5fkNDXlWKp4cJZEhVsDSWLlqpFg+apmGm8U7IGx/z8PuITM3LMG+OIQNpUp3nA358Paa6GHIiDfKGQReFnrcJNSTgb4pvsEUzz2NlqV2iEi9O6o/R+TnBSiEB1hYcWeMkGo2bmg90dxTX30sfb2vSNM2oZwu8Rufn4MVJ/ZGWqHSaUMB1shLreY7rc+uN12DXaotmHhJV3peWTlLLeX5D6Zk+GPz1NfhU/RBUMAMAkqDHp+oFWKNehC2aefw+IpxjGeZNu0Ql9vR7qOU3dDPTazRyWqeLY7qoGUkIhuK+qqqqglarhU6nQ2pqariTE92++D9g239aPGxWxus4LmVhxx9VUMslvHbTAAzslsGnn6FydCfw8kUum69ueAxn9B4ESZKQ2y4Bg7tnxvf3ojsCPHc+YPLyRNdmUVOXN7NF4Lv95fj9p824qXiqy6Er81fizHOGxve59UZ3BHi2v5dxdTJg9GMwD5iFrXtP4f2iUpRW1MHQYMHhijpUG8yYOTwP943+E89vKP28GlgzG7C4dlG2SHLgqmWQ9bsuDAkjf9nKsM37TuDnUh2q9CYUH62GBGDV9Aubyq7S74FXL2v5De/YBaSdEfR0B8vidbvx+paDAICnru2HCed1Cm+CKOj8iQ0UIUoTkbOBs4AfXmmxkvpi+U04escxDF76DQQkDDkzM0QJJHcEJEgQaJekwr9v6B/u5EQObS4weyvwwkDPAYAkBy5/1GmTXCZhSI9MDEnKA5yWlJIBsGDK4K5AR+Z5j1qayKRxLSD52WMwrOcZGNYzy75n9qof8XnxMXRul8iAK9T6TgQyz3L7QGfn5R+gf7+Lw5Aoag17GdbDWk7p6k3ot/h/EAAu6JredG3JvbeI2T3Tx+nBVLRh90Lyht0LKTy0ucDfPm7hIOuK9Ukq67MBo9kCYwNHpoZUUhaQmGH/1aROxwmhhUGV4eVFcSo9z++ZDG2TlaDmRNM2mRLI6gEkpANm/9aZikstTKgBwKlrp01iY7lSazQHI1XkiS3Pn/rdabNt5kJ1ve9j8CjyOHblrTM6tGQ2u5e4JwGD5kZ1N0PHQIvdC6k5Bl0UPqkdWzjA+pQ6oe6IfUs9K0ihU3kYqD0BDL3LvkkIgRnG+chWVEX1jTFofA0AHH9+eQTwlsO0yhYTcPI3oL4CeHVkwJMYcwbOAgbe2vJxzQbqJ6mtlcM6g/tZOClIbHn+wxn2TUIAMslaQe29cYaHF1I0UMplUCmsVUunBxraXGD+Ly28WgDbnovqSTUcZyxkSxc1x6CLwkebC4x6tMXDVM/1Q1d5OQCg1sgKUsjYKkf/e9C+SWWswFr1Qjx1el5U3xiDpsUAQALOvxk4/J31V4fJSlzIFDG1fk1Q9Z3YwgEyl4H6bOkKEzd5vmniGBn2Dn06DImiQEpSeXigoVD79mAqiifVsHAiDfKCY7oovAbPBaqOAt897/WwDcrb0NX8Fm797w+QyWTo3C4RE/p3wuAzMzkeI1jGL3cZ7G470w2QA1e+wALEnb4TveRnAfzwqvW/RTqvY1sw/Wug4znBTGnsSMoCEtoB9ac9HGCxziC5/hH7eBG1wpqbP991FL8e1SEzRYNO6ZwUJui85PmrjP/Awu5XhyFRFChmi7A/zb9r9Q4o5DJoFHJk2a+vazBwYmfIV9/o+U2aXav+fn5hSQVOVOvRPsW6zlsor2XndboYdJEz1pko/LxWUoEGSHjEOAkAsKO0CgDw46FKrNl5FEkqOZ6a2I9TCweDl8rRlYaHsWd1CmaW7cEDV/QKQ+IiWFIWIFd5H4/Vdbj1SW4Uz9IVUbS5wIz1wH/OafnYysNYsrUGL20qAQAc1RlwVGew735+/X6kJSqxdHwflitB8tqWEkyDtVuhJDX9CwDfHyzngshRqqC4DPd/uAuVdSYAwM9Hql2OeX79fgxMKMU7vryhn2VkQXEZFq/bgzJd09jaHK0GC8f2Ctm17DyRRkg+kqIIuxdS+CVled2tgMAi1Ztu1+2qNZoxa1URCorLgpW6uLZ1/ymn322D3QFrRemlTSVY8tmeUCcrsmlzgVsLvR9zcJO1e+bh74Ca44DaYZpZmcI6iUbN8ajtYhMW6Xk+dVfGM33wySbv309lnYnlSpAs+WwPXv6xGieEFubGKkgVEnFCaFEuUvHEF7/zvEehguIyzFpVZA+4vDlYn4hqoWn5Td1MgOPt82evKnIKuADgmE6P2SG8ljmRBnnDoIvCz8exXd4WTF68bg+b8gOp8jDMf+zAuxt+hO0eUidU2Cc6okIkQymauhwu31zCWSWbS88D+t/U8nGvXQ68NREwVDVtszRYJ9F4ayLHzflr8FyfzvsWzTyf3o7lSmAZGyz4dFMhMiUdZhjvhAzWcsMCCTOM85Ep6ZCLkzzvUcZsEVj08W6fjz+GDJxneAkfSj5MFORDGWi2CCxetwfucoxtW6jylJlTxpMXDLooMgye69MMZJ4qS2U6PQpLKgKdqvj1TB/IXxmBf5sfs3f7SYARZ8mOIF2qwRrNQvuhFgG8ue1geNIZyfpPbtvrOZFG65w9xqfDPD3AccRyJbDe3HYQ32rm4RP1AqxVL4JtqE0aarFWvRCfqBdgi2Yez3uUKSypwLEqQ8sHOjBCibX6c307uIXWrsKSCpcWLkcCobuWLRzTRV4w6KLI0eIMZFaeKksnqr0tkkp+Gb8cFknutKlphjE55hnnOO07VOF9keu41Ok8YOpnrX/99K99vibIQYdegDKxxcO8tZw7YrkSOIcq6jDPOAcm0XLZwvMePVr7Xf0mOsMkT2j5wBZau3z9/FDkKTNnLyQvGHRR5EjKalNlqX2KD33EyTd9J6L4zx+53XWV8WGstQx12tYlveXvLS616+pTnnbGYrlNtLnA7K2AouXywJfAi+VK4HRJT8Ray1BcZXzY7X7HsoXnPXq09rs6hgzsGvtZy9dqC1PI+/r5ochTXKeLvOHdnSKHn5UlRzlaDWe8CrDeualOvztOouFIJgGTB3UNQYqikB95GgDQ62qgYz8guX2LE8yQF+l5wDWv+3Sot/FdLFcCa/KgrnBXijQvW3jeo8uAvHRkp6r9fl2OVoN+fc9t+Vpd/4jXSTUG5KUjR6txm7cA61InocpTFk6kQV4w6KLI4kNlSQjg04YL0B+/2bctHNuL6+oEmDy5PSySdVWJY5Y07BJ59hnGHM0YlgeVgkWJR34EADAbrFOf31FsDdio9XL6AZp2bXoLliuBpVLIMHN4HspFKkzCWmaUWjJcyhae9+gil0lYNK6336+zf885/XzrEeChm6FcJmHhWOvSJc1zje33UOUpTqRB3rCmRJGnhcqSJAFjFN/jQ81inKmuwIuT+nM9nUCqPAwc3QHUnoRMZi0iUqV6PGiahpnGOyFvnHFMkoBbhudxnS5f5PTz7bjfPgP2fgGc2MPp4ttKmwvMXO+1MicEsNJ0KS6Ripy6GbZLVLJcCYbKw3jgHANmnpcC0VgdbifVOpUti8aFbk0lCpzR+Tl4cVJ/pCUqWzzW5fqy9QjwhYdycXR+DpZN6o9srXOvgmytBstCeC07T6QRko+kKCIJwVDcV1VVVdBqtdDpdEhNTW35BdR6FSXA8wO8LzBrc8cuLjIbSIu0LpsEnJ8gLr9kB6YM7soWLn9sfQ7430P+vWaRLjhpiScVJb4tmgygl/kdLJ9yAQZ2y2BLSzA4lC22MqV52VIy9yjyMpNCnDAKFLNF4Lv95di87wR+LtVB32CGxSKw848qqBUSXps6wPP1tX4psHFJyx/i5Z5vtgh0f9A6gdGtF3fH/JE9Q3ot37j8O2zdXw4AmDm8Gx684k8h+2wKD39iA9aYKDKl51kXmPVlLAzXMgqs8cut05U7sN2yGiAHxi/HjOHdGHD5a/Bc4Pq3fTtWJud08YGSnufTchQAIJfJMOTMTAZcweJQttjOsO1f28yFconnPprJZRKG9MjE/X/uhbdmDsKHc4biub+e17hX8n599Z/s+z3fQ4uX43v3aJ8S8mvZqXshx3RRM6w1UeRKzwPG/Mu3Y9kVK3D6TrROV+7GI9nPchrztkjt6NtxFjPPcyANurXFMSO1Qo1rGz6GOH0oRImKQ17KFtvMhYy5Yk+SyhpoGxosaPDW506b6/v4Vw+BV7g7b3GdLvKGQRdFtqyevh3n5ckX+anyMHDqN6dNtltHF/zB89wWSVlAYgZch3s3c/GCkCQnbmhzgb997PWQJMmAvytXQfp3X+bxEBLNrgW2MsaeRHXTumx1JrP3g32dVANwe98Pd5zjtE4XR+9QMwy6KLJ1Og+YUwjIfexycPi74Kcp1j3TB/hwpttdNx17jN0520KbC8z/Bbjuv56PSUgHzrkxdGmKF6kdAaUPC7ECfIgTDLYJempOwPbQwSwkVKd0QyWSoRQNAAAZm7pijkoug6IxmK4ztBB02SbVUKf49ubN7kfhbl0yO3x8uNNCkUfR8iFEYda+J3Dt68A7N7R87GuXw3z7z5Cndwl+uoLMbBEoLKnAMV09TlTrsedoFUor6mBosECtkEGjlCMzWQ1A4FSNEfWmBhgbhNM+x/qLJEnISdMgPVGN9CQVKuuMSEu0/puerEZ2qnUdE/n45cCa2YCloem1jf82QA5c+QILjrZQqIGO51hn6NSfdt1/47ucLj4YtLnA7G3AssGAqa7l45/pg1W9XkZe/0ujcmKN5hMaOJYPaoUMkiTZt2mUcuSmaZCkVuBElQHHqvRQySUYze6Pd7fN8XiNUo6sFA2y09So1ZshADz6U9OC6rbJM2QQSK3eDwBYo1mIrvq3EGWnmXxgEYBSBjRYgNmrfoAkAQlKBfp1SsOQHpmu11d6HnD1y77d8wFrQN84sUaoW5ds19m2A6dgEcAxXb1939e/HMPOw6c9XkO266RjO+t9OS1RiZ//qIRFABZhQa3ejKM6PXLTNPhTTip0ehPKKvXIbZeAwd3dnDeKeJy90A+cvTCMdEeAZUPcV1Ld2PDnrzHiwvODnKjgKSguw+J1e1Cm04f0c3O0Giwc2wtHf/kO03ZPddk/xvAo9iAPM4dxqvg2qygBXhsFpOYC5/4NKFoJVB8FZmxg0BVMpd8Dr17m8+FD9P9GbWJHLB3fJ2qmMi8oLsP9H+5CZZ0p3Emxu1L2LZ5UvgSl5NrSYRJy3G26BWstQ/HDgssaHyZRLPAlL6YlKl2vL90R4MVhQH0Fmjq4ezHtC+CMgag1NKD3wi8AAM9cdw6uOjd4ZWm4rzO3541CjrMXUuzR5mLDiHdRIZJ9OnzE55diw/Yfgpyo4CgoLsPsVUUhD7gAoEynx6xVRfig6IjTdotoepomBPDSphIs+WxPqJMXW9LzrIsgz1gPXDANmLmBiyKHQmpHQOO6LIInWzTzkFR3FLNWFaGguCyICQuMguIyzFpVFFEBFwCstQzFVcaH3e6zTaIBsHthLPE1L1bWmVyvL20ucNcvwG1Fvs1o+NrlQOVhpwWJg5mVIuE6c3veKKIx6KKoYLYI3Pd1Fa40/AM64du4jBGfXwpzRXTNRGa2CCxet8eX53pBVS5S0SCsxcPyhj9jl8jDCaFFuWh6irN8cwmMDVz9sU0U6qaagSRZf6fg0uYCMzdCJKTD5OMtcItmHnJxEovX7YnocRpmi8Cij3eHOxktstWL3Z7KyD295IfW5EWX60uhBjK6+TWjoWzHm359ZmtE2nUW6eUSNWHQRVGhsKQCx6uNKEUH3GS41+cZiuT/6RvchAVYYUlFWFq4mjuGDOgbR24VWXrgSuM/MNTwHxxDhv0YiwDe3HYwTCkkaoP0PGy/egsu0T/p80OcLZp5kOlKUVhSEeTEtV5hSQWOVRnCnQyPykUqToimVsZKJLs8zNlR6lsXcopsrcmLZTq9++srp591DKwPkr+4E5dKPwJoCu4DLdKuM4/njSIOgy6KCieqmwKRIvTEZYZ/+lxZwr/PBX77PEgpCyzHvzOc1DAiWTICAIbKigFIMELpctyhCh8mJCCKQMfrBEqR7ddDnC2aeTAd3BrchLVBpJQf7uTiJDIlHe4xzrQ37logYYZxPjIlHXJxEgBQXmsMYyopUFqbF92+TpsLzFzv84yGr6qfwjTZZ1DXHmn54FaIxOssEtNErhh0UVRon+Lcp/sAOmG+cbZvLz59AHj7eqDojSCkLLCa/52hlouTyJcOYJDU1HXicvkP6C2VIF86YK8Y2XRJ93E9FaIIY7vW/H2IM3zzpIh9iBPu8sObLZp5+ES9ACvVT9i3paMaa9UL8Yl6AbZo5gEAOqSwi20saG1e9Pi69Dzgxvd9fp+/q1bhz1+NDMq1GonXWSSmiVwx6KKoMCAvHR1SVE7bdos8lIsUNPjaheDj2yK+1WtAXjpytOErPG0VoxVOFaMqfKp+yKliBAAyCZg8qGsYUknUdgPy0pGdaq3g+/UQB4jYhziOf1OkmWecA5OQO22zzXZtEnLMM84BAJzfNT3USaMgaE1ezNFaly3xqMtA67qdKh/X8AKs12qA19yLtOusxfNGEYNBF0UFuUzC4ivznbYdQwYGGZ7DLcb5vr+RrdUrQgMvuUzCwrG9EK75u3ytGAHAjGF5UClYhFB0ksskLBrX2/677SGOSfiYpz++DXiqF/DCYOBIUZBS6Z/mf1Mk8XX2QpYpsaE1eXHh2F4trzvVvifwV99bvABYF1De+lzAgq9Iu858Om8UEVi6UdQYnZ+DFyf1R6KqKSgwQondIg+nfZxK3u7t64HP7w/4E7BAGJ2fg2WT+oelxasw5TJ8f9lqt/tsFSNJAm4ZznW6KPrZypS0RKX9Ic4lBt8n10D1EeDEbmt5EiGBl/1vSoj8Jcwdl6Kw4ZTxscPx+vKmXaISL07q7/t6U7YWLx8n1wAA/O8ha/AVIL7+bcHk93mjsOPiyH7g4siRwWwR2Lr3FN4vKkVpRR0MDRZYTh/Am2IB2kk1kPs75/CoR4HBc4OT2DYwWwS6P/iZ/fdOaWq0T9HA0GCBWiFDvcmMX47VAADSEhTIy0y0r3RvMluw62i1X593w4DOeOSqPpAf+wl4+SL7dgskyCDwj47LkH32QEwZ3JVPoymmmC0C3+0vx+Z9J/BzqQ5n1P2MR0/fC7k/9X+5xroG2OjHgJ5/DlpafXWiSo8Bj30NABjcLR31pgZ7+aBWyCBJkn3b0Uo9Ttdb1xvqm5sCswVQySUYze6Pd7fN8XizsOCnP1zLn2yUY4v6dsglgVJ5JwhlErJRjqtMj2JPrbXLWMmSKyAx8Iopza8vfYMZOw/rYAHwxDV9Mb5/p9a11FSUWO9Vep2PL5AB2k7AFf8M2DVqtgj0/vvn0DuMc5AA3HhhZxyr1ONYld7t9XK4ohbVBu9LrnRKU6O81oR6k+txV/briKevO4ctXBHAn9gg8h+FETUjl0kY1jMLw3pm2bfNeycFg3c+hycGmXHljmn+veH/HgK2vwgkZgJ/eRrI7R/gFLdO88L00j9lO3Wx/PHQaUxYZp1J7ZKzO+Dp686x79t7vBoj/7XJr8/LSlZbPzMpC5BkgLBgvyUbSanpyMYp/N91F3HhXopJcpmEIT0yMaRHZuOWQZiwWI3XLPdDK9X79iZmfVP35XbdgGteDWtZYmhcQy9BKcdbMwd5Pfb+D37GO9+XAgAeuKI3BnXP8Hp8Sw6X12H4E+vtv+fiJNpJ1RCQ7I/EOiurgcmrAIsRshX77ccy4Io9rtcXMHjJ1ziq0+Ps7NTWBw7pecDMjcDyS4H60wBaWjfSAugOW6/R4fcAh78DRj7cputUJgFGs/OD3rREJR692vtyNXe8swNrdh71esxlvXKw+6gO3x90XUYhPVnFgCsK8XE1xYRElQJGKHEoua+124Fa2/KLHOlKgbIdwMq/AC+NiJiuQo4S1c7PSJLUcod9cq/H+kJR/QdwdAdQe9K+QGmWVIWNZz4AXLcKEGb/E00UpU4ldsFNhntbt1bv6QPAK5dZJ+4JU1lSa2wA4FxOeJKoaiovfDm+xfdr9h62CXo+VT/U1BNBrwOWjwBeHYVPzH5MYkIxwXaPsuXTVkvPA+76xXqP8semJ4CDm4FVE9p0jRoaLC5LTjheT574co9OVMmR5OG4OgPvx9GIQRfFhKTGcV61xgbrQNtbNgIJGYDkZwXCWGsNvlb8xVphCmMAZjI7P7VLUsmb/a5w+7O7Y31x+67xwMsjGrsWWj87BXW4budk4NVRAe0PTxTpElUKFKEnfhhT4P9DHMD6kOL0AetT+DAEX7WNlTJfKoBOD3B8OL7F92v2Ho4T9Lg0ZMkU+D/5PFB8sd2j6toadAGAQg10PAdIyIAFcpj9eVJSX2F9QPJkz1ZNilNrcE2/Lw8ufLlHJ6kVLteS/XMDcd4o5KIu6Fq1ahVuueUWnH/++VCr1ZAkCStWrHA5zmQy4YMPPsCUKVPwpz/9CcnJyUhJScGFF16IZcuWwWzmU4JYYntqZH/6Y3v6NfcHQNOKCpOp1lphsgVgj+UCO98OYIpbVmd0zqPNK0OOE4polHKvx/rijZyHAJnz6+wVJJkCGL/c7/ckila2SlF5Ql7rH+IAACzWsuT1K4B/tAeeuyAkAZitMpvoQ+Uu0C1dGqXMKbjyNnMhpn+NAtnwNn8mRRdbnqsNVIuNNhe46xfsmfoL7jHN9O+1wgzUHLNOivPaKGD9Uut934frtPl9GvDt/tv8nu1Ookru8fp197kU+aJuTNeCBQtw6NAhZGZmIicnB4cOHXJ73P79+3HNNdcgOTkZl156KcaNGwedTod169Zhzpw5+Oyzz/Dxxx+z/3iMUCus3+OXu49h//EqSDIZEtVyDOiagSnT1kP1+kgf+3y7Yaq1/rv2VmDdPKBdF+Dql3zuB24bRLxl/0kcOW0dHyKEwKkao9tB6LYBt1V6k9P7HK2sg9ki7P24HQvtI6frnfa1pq/3cyfPwc+pT+HJSjdPnad/bX2SSBQnNErrM8n/fPUbnpUkJCW9io4pFVhSfjsSzDUQgH9LOzQ0jg079Tvw6mVAene/ypHmjA0WrNxagsKSCtTqTUCziS5sT+Ar64zYsu8UBnbL8FguyB0ev+4+WoX2KZo2jRexCOtEHAYviygKSA4jvCjeJCit+ev59b/jxQ37oFHK0Tk9ERP6d8LgMzNbl/8UajTI1dhr6QSzsI638vtdzCaIjUshQcDwyp9hgYT32s9DgXyE24lkKuqMLm9RWWeEscHidcIpX+awK9PVQ610/x47D1Vg/PPf2ifW8jaxjb8T4TjuM5mB7FQ1MlPUqDOY8cdp6+Rl/r6/4zZ9gxkahRwZSSqU1xqhbzBDLfcvjQkqBfp1SsOQHpley7ZIE3WzF3711Vfo0aMHunTpgqVLl+KBBx7A66+/jqlTpzodd+TIEaxduxZTpkxBUlKSfXttbS1GjBiBH374AatXr8a1117r82dz9sLItOSzPXhpU4nH/ZIEzB6Si3v71AOvjw7MhyqTAGGxTjqRmOFxAo6C4jLc/+EuVNaZ3LyJ/9ISlVg63trNb9G6PTim09v35Wg1WDjWOo374nV7UOawz1e9pRJ8qn7I/rtFSJBJAlsv/QCDh13WxtQTRQdvZUpnHMeH6kWolRLQFcfa9kGKBGs54ueDnCWf7cHLm0r8CllsZUfz6aUListwz/s/o1rf1F3JVpa0ZipqT2VeNsqxWX0HlJIZxy1alMuz0F1VCfWcTbjguV9wstoAADi4dIzfn0nRpaV7dpJKjqcm9mtV/rNNMJWEOvz9PAuu2+1nq5cbeqFAuUhFqlSHv5tuwkeWYS2+RiZZ17J0t7RKQXEZ7n7vJ9T40MonAXw00QJPZVuo+BMbRF33wssuuwxdunRp8bjc3FzMmTPHKeACgKSkJMyfb11Md+PGjUFJI4VOS4U3AAgBvPDtESzZrW1c2yOt7R9sqrU+udYdtnZBfONq4F99gUey7d2HCorLMGtVUcACLgCorDNh1qoizFpV5BRwAcAxnd6+rzUBFwCUi1QYG8delFtSsEvk4YTQYv6nR1FQXNbm9BNFupbKlFJ0wBDDf3C9/kGUixRY0IbueA31gNnQ1Pr1xFktdmW2pc/fipit7HC8jguKyzB7VZFTwAVYy5LZzY71hbsyLxcnkS8dQIZUBXNju0OKpMc9+qm4vmouNvzKciWe+HLPrjWaXfKqryyN7Qi1SMSRtHNbN7FWMxqpAbmyCqRIeixVvoTd6qnYqLoda1UPoY90wEM6gJc2lWDJZ3ucttuuOV8CLoABly/clW2RKuq6FwaCUmldzE6hiMs/P2YYGyx4uYXC29HyzSW4a9Sfobr7d6C8BFhxReu7HDZnqLT+BwCnfod4dSTOtaRgl7re5ydjbdWWwtlxSucGyKCCGYmSAQ8ap0GJBshhweJ1ezCyV3bUNOMT+cvXMsUIJY4hE4MMzyE7RY31N2ohX9nGdX8sZqD2uPXndfOA9UuA2hNOrenGDuc4pa+PdAAPKN7CkoYbsUt08+ljbNex7Wd35Yat66Q/17zZIrDo490u27domror2/rVJMCAT9ULrL98DgjF+z6lnaKbv/fs1txzzA5TCVosomlireWXAvrKNs/Cq5YsUMOIJOkUuuAUPlAtRJloBwNUAIB6qLHAdLP9erTWO86GSiGD2SI8XnPUdtFQR4nLqOO1114DAIwaNcrrcQaDAQaDwf57VVVVUNNF/nlz20G/Ci+LsL7m5mHdgA5nWyfa0B2xzlwUqOCrkWRpQAecBiRgiXI57hDvIVOqwimRCgNULgVzuLmrGGlgbKoYAeiqewuFJRVtXsOHKFL5W6YYocThagsKLT0x6P5S4FgxsCIAi66aDYCucbyy7rD1vzeuhh6JKFafQpVIQLJkwF5LLvrL9+MNaQlOQutTuVKm06OwpML+syfC4VhfrvnCkgocqzK4bJ9nnIMnlS9BKZntk2vY/jUJOe423QKTxGpoPPD3+vIn/9lYHIIus+1mZptYS3fE2qJcXxmwJVBUkhldpFNO295QLkEVEuz3fN2/2yPr+udRqO/S6l4o1LLW5JdQi7ug6+WXX8bnn3+OSy65BFdccYXXY5csWYLFixeHKGXkr0MVdW17jUINZHRzDr4C8CSsOY3UYC+UkxwK5zeUS6CSTKgSCUiV6u0VqVC1jDnypWIEACeqecOg2NWaMgVovC40GUDXwUAggy9HhkqkohKQgCTJOnj/XJl1UeF2slq0g3XCn7eV/4AkCZwS1rEF6VINljeMwaWyIqRJ1UiXavD77oX444wrff/b2nDcWstQ7DPmOo0VtbnK+DB2izykRNfQcmql1lxf/t5zzKJZS5eN7X4//xfrk8WjOwI3xrsZx+sxSToFVJ8C3rgafaQk7FafDOu9PtZFeh0lroKuTz75BHPnzkWXLl2walXLC+k98MAD9vFfgLWlq3PnzsFMIvmhS3piYF7jGHwJAVQdbeqKEMDWr+bayWyFstHp38eUr9hbxmwBma0C5bjtiMjEsoYrca18o1/di9zxpWIEAO1TNK3+DKJI15oyBWh2XWhSm4KvmpPAK5c0liWB527y3WSZtbXJ8QHP7YqPoJCayrJ+Py1Cr9+es1cAbWWMrYuUGkZkSlU4IjKhN74AINc6ffaXfwdGPux2wg9/ygbbBD02Ms4iHBdac335e89x7F5obr5qMWC93wNAl0HWa1SmBMp2Qrw+2v+ZDv1hqERys4cmS5Qv4xG86vH+fpdpjtN9vTXdieNNpNdR4ibo+uyzz3DNNdegQ4cO+Oabb5CT0/IsJ2q1Gmq1OgSpo9aYPKgrHvn0F5+7K8gk62s8shXGGd2Au3+1BmAVB4HXLw9apcmdBMnk0DJmC8iaKlC2bWdJR/Go8lUkSkb8V3oEcsniNUhzt81xnwrWwfRCWCtzzStGOVoNBuSlB/8EEIWJv2UK4OW60KRa/7v7d8CkB47vDnzrl48cAy4AUJgNUNQecaoAJjXrIgVYyxhRcA2wpSNgqLKWgyvGWnsDJGUBkKzjztSpGGiownaNBomiHssbxuAvsm3IlVm7QqZIelQLDVIkPUxChj2iK3JQjgqRihytxmUheIpN/l5frbnnWISb7oWeaBpnmusyCJbZ26FbNhIpogYyWCCD+4cagaSRzADMHu/vzXvDmCFDqqTHG5Jz98XmD0v87T3jazDXRzqARxSvAhIianiETTTUUeIi6Pr0008xYcIEZGZmYv369ejWLbIyCrWOSiHDzOF5Lc6EZDNjWJ7XdTOc2AKwDmc3VZpqTwX1qXVrJDYW0Kkya5O6tyDN/TbXfbYbzQGRg1TUorwxWFs4tldED1Alait/yxTAh+tCobb+F6LWr0CTLA3WMWU2phrrv47bGuohAeiAekACblOsgVKydtO2lTF6YS17LZCwwHQTfhNnwAQllo3thf9b6zoBB8Uef6+v1txzHON3i7uWLg/kHc7G91d/i9veti6I3AnH8Z76H0hFLRQQQQ/A3GneG8Zxu1P3xWb87T1jC+ZsD289tbwds6Sjn9z63X2gWohykezXQ17HbbZg0RYotuZBcSVSnIK/aKijxHzQZQu40tPTsX79epx55pnhThIFkG0NDG9r1kgSMNPDehk+sVWaErTOAdirlwF6XcDHgEWKeqHActMEJCiAF6/vH7Y1MIhCyZcyBQDaJSqxxN+1YSKo9SuYbAGXI01ja5taMuMW+To8mnS/fS0wBl3xw5frK0ktx1PXtm6dLrO7iTR8dHm/LviPXIV73v8ZB/SdMcjwPACBTjiO99UP2wMdIPitYIHUUu8Zm6aHt+5b3s6Ujtq3qyQzciSdx+Nb3ub8+a15UNwFpzBevhl/qHr6XxaHSUwHXZ9//jkmTJiAdu3aYf369ejRo0e4k0RB8MAVvXDXqLOxcmsJCksqUKs34YhOj0MV9cjvmIoP5wzxvYWrJY4B2F2/Nk31Z9IDR3cCq3wbnB4N+sgP43G5daZPdNoV3sQQhZBjmbL9QDnKdHqo5DLs+MNayXhxUv+2TU3cvPVLpgROHwrsMhYR7C+KQvz5ot8gVxqBysCtY0jRwd31VXq6DlV6M6YN6YqHxrS+xcKpe2ErLqPR+TlIS1Dh+uXfwQjr8kIH0Bl3dHwbJkM96hrk+BP247Gq+yChafHiKIrBWi0SG5H+pt6Ivw3uB7nSbC1L0s4Id5K8irqg65VXXsG3334LANi1a5d924YNGwAAQ4cOxfTp0/Hrr7/i6quvhsFgwIgRI/D2266LTXbt2hVTp04NVdIpiFQKGWYM744Zw7sDAFZ9dwgL1hQjt11C4AKu5hQO4/2UGuDMEW4rUAIWoHGclG28VNR5pg+wSBfuVBCFTPMyBQB6LvgchgYL8nO1gevGYhtXYlvGQgigwWDthvjqZdaxVG5a020VvWit8Mn/90DTL8oPwpcQCovm19ftb+/Axz8dRW67xDZdWy7rdLVCfYPr9fbGLRc5/DYS0N9ovUZfHw0pMQOoPASYWjf7KbWe3KwHNv+zaUOE11OiLuj69ttvsXLlSqdtW7ZswZYtW+y/T58+HceOHbOvsfXOO++4fa+LLrqIQVeMSlLLAQB1xhB3/XNTgTp1ugrjn16LD9UP45RIwRk4iUTJGDUVJYskh+zqF8OdDKKwS1IrYGgwBq9csT3IUWoauzP/5tyaLgRQeRh4awJKjal4re5C3J66Fen1B9EUgkURSQZc/RKwLtwJoXCz37MNDW16H78m0vCgzuDD9W3rKnxnMSBXAWYjYLFY/7XNgrxyTEwPQYgotrIkwkVd0LVixQqsWLGixeNGjBgBwbU/4laiypq1a9tYgLdJYwWqTm5GKTpiiOFZGKGACg34/u4h0CZauy7AYgHK9wPvTLQu2hhhXYs2Dn8XF/cdGe5kEIVdokqOitoQlivNW9MBIKkdcOduPLzqJ3z160mcPeJ+XN+vnbXi12CwtrSbjdaZV1ddDRirgKQOQIMJqD8RmnT7asZ6oOM5EB9/Fe6UUJjZ79ltfKARiJauWqMf17ftGrVfqwnWfxLTXIcg2B6avDkuaibSiRqNZUmki7qgi8gXSY0FeMhbutyobXxqZusfboQSCWkZgGO3x+T0pgLaVnEyVFv/tZiaCm5Jsk7i8cZfgh6g2bpCRmV3SKIgiJhyRaFGrdF67SdqlE0t7LbADIlA4jlNS1/YKoT6qqb3cCxjdKXAf8cDyR2AvtcBP7wOVPo+gyNRWyWpbL1T2vZAoy0Tadi0tbXNztNDE9tEOnLrVO+ob+wSZ7u/r7zCKSgTtv9J0dmVmJow6KKYpFZaA5qDp2ow4YUtUMklSJKEelMDTGbbeg4ZmDK4a6vHfJktAt/tL8eW/SfxR0UdTtUYUW9qgLFBQCWXYDQLqBUyGBtcA6MfD53GgLx0577rjl2LAEDtYSHJ1A7un6CZje6DNE/bjLWAKqlpX/Ux4O1rgNRcPHvqPFxk+AbZqIBJk9Gq80MUS8wWgQaLNdj695e/YfX3hyGEwKkaIwxmCzq3S8SE/p0w+MzMNo/3MlsECksqcPR0HYpKT+O4zoA6gwmQJOgbzNAo5Nhz1FpRO3yqFmaLcP+ZimbrTCZonX+3lTHJ6cD8PdZKoCQBQ263Vv5UyY2L9lmsARrQdIzJOtOZvTwp3w+svsEauOVfC/y8GqiyrgVmfa0AJHljVysJSGjXuNYXH+wQoGq8Z39ZfAz7jlXZ83qCUoE+uVpkJKuRmaJGdqrG9d7pwHkiDdegy2wR2Lr3FN4vKkVpRR0MDRaoFTKoFTJ7HeHIab3b1wVsHKdtIh0bVULTz6kdnIIys1GPS578BjpDPUb16oQl4862pqOu3NpilpIN5F9jvd50ZcDf1gDazgHrPWMfOxrg8ei292vzmFRJ7lSWRDpJsA+ez6qqqqDVaqHT6ZCamhru5JAHBcVluOPdndCbWi5oWjudfEFxGe7/cBcq61o/81aOVmOfMjliNBgAuQqXPL0RB07WQIUG/OvGCzGmbwSlkSjE/Lnek1RyPDWxddNd2z5r8bo9KNO5Vvw8SUtUYmkkTJncWH7YZw0yN64vZKtm2Ma+ANZjGiueFzz6FU5WW8dgH1w6JtSppjBb8tkev9bG83bvfGv7YTz4kXWStSv6ZOOFv55n31dQXIb5q39qVUt1OO7X7soCp3S4u94cg7kGQ8u9Z5Qa68+GGkCd7PJA5b/rizCqaCaOiXT8kDISNyVvA3RHgb+tBdK7A8Ya3x7yOjzcrXhlHI5Y0rDOPAD3ZO+GsvY4MOlDawDp64NidYr1X4XaqSwJB39iA7Z0UUwpKC7DrFVFPh8vBOyFva+Bl7+f4UmZTo/Zq4qwbFIErYHVWHDJJetkuEYoI3KaWKJQ8fd6rzWaMWtVEV5sxXVdUFyG2auK/J4Oo7LO1OrPDCjHio+nipBM47qN4pa/ARfg/d5p9tDS1db7dqjv157KgmOe0uHuevO19wxg7fboRk3aWfbx6AO1GbhpxhPOwZ0myfc/CgC02bg+6VX8Xm4AIOHWaS9AqxY+Bk3p/n1WBArSXNpEoWe2CCxcW9yq1y7fXOK2G6C7z1j0cWAX8ly8bo/bbhDhJHPoRyCx7w/FqbZc7/5e12aLwOJ1e9o0/2AkliVEnhgbLHjZz4DLkbv87jh5hm2drrbUDXz5zEDzVhbYtoXqWpfLpMbx6JK1W2MAWpVMkvX9AECplIW1lSrUGHRRzCgsqcDxamOrXmsRwJvbDvr0GceqDK36DHcErE/QCksqAvaegeAYZ7Gli+JVW653f6/rwpIKv7oUBuIzicLpzW0HW/2QwdO902n2wsZWr7bUDXz5zEBrqSwIZb3B8QGsLAgPYJXy+ApD4uuvpZh2orptFZZDFS0vbNjWzwj1+7aW44DhYBS0RNGgrdelP68PVBkQaWUJkSe+3HNb0jy/u5tII9DXRLCvMV/fPxTXumNdIGATiThQxNlTXQZdFDPap7RtrECXdC/9nQP0GaF+39ZyerrFUoLiVFuvS39eH6gyINLKEiJPfLnntqR5fnfX0hXoayLY15iv7x+Ka90x0ApGgBRvwxdYnaKYMSAvHR1SVK16rUwCJg/q6tNnZKcGrv+xBNv09ZE1QFQm45guorZc7/5e1wPy0pGjbVslKhLLEiJPJg/q2urpwj3dO91NpNGWuoEvnxlotrLA07kJZb0hGL1e4rlGwaCLYoZcJmHxlfmteu2MYXk+rdcll0lYNK53qz7Dk4VjewWl2b4tZE5juiIrbUSh0pbr3d/rWi6TsHBsrzZVSCKxLCHyRKWQYebwvFa/3l1+d55Iw/pzW+oGvnxmoNnKAsA1QLH9HqprXS4Ft3thvGHQRTFldH4OXpzUH4mNq9u3RJKAW4b7t06X7TNUbRwAmqPVRNZ08Q6cB8+GMSFEYWa73tMSlT4dn6SWt3rq9tH5OVg2qb/fi5C2S1SGf7p4olZ44IpeuGV4nl8PG7zdO80OkxA7ju+y37d9eLjq72cGg60syG7W+p0d4nQ49nqRsTLQZlyni2LO6PwcjOyVbV91/o/T9VDJJftq88d1BhytMqBHVhI+nTe8VYXw6Pwc/KXvcXy444h92+Bu6ag3NcDYIKCSSzCaBdQKGTRKObJSNOjYToP0RDUyU9TITrV2DYjUJ0fyIM9YRBRNbGXKd/vLsWX/Sby88QAaGutzA7qm4ffjtaisN2HSwM5YPK5Pm67r0fk5SEtQ4rTDQszdMhORnWJdBPRktR57T1onIJBLwBs3X4iB3TIitiwhaskDV/TCXaPOxsqtJSgsqUCt3gRIEnaWnkadyXl+wyev7Yerz831mN89rdMFWK+th67QY+HHe5CTokZOmgaGBgvUChnUCpm9jmAyA9mpamRrE9D/jHbISUsIy/3aVu4UllTgRLUe7VNCX29wfLYsZ12gzRh0UUySyyQM65mFYT2zXPat3XkE897ZiaxUTaufegFwmupWo5ThrZmDWv1ekcaxbGU5S2QtU4b0yMSQHpl4u7DUHhS9NWMQHvxoF1b/8AdytIkBqRA1H0f5t0FdMXWItRtWYUkFJr60DQCQqFZgyJmZbf48onBTKWSYMbw7Zgzvbt920+uFWP/bSafjzuqQ7PUac+pe6GY++nqTtSlscI8sPDWxXxtTHXxymYRB3TPC9vkydi8MKHYvpLiTpLI+a6g1mtv0PnXGhkAkJyJxyngi3yjkMiQ2linBKhMS1U3PR5XypuuxrV2ciSKZ7bpyVGvwft92bOmyuFk8uM5gvUaT1L4NQYh3rAsEFktsijuJjYWtrfBtrbo2Bm2RLNgLIhLFElsFrqUKYavfX+UYdMnc/kwUaxwfMNi09GDD3UQajmwPW90FdOTKeSKNMCYkRvAUUtxJsj+VblsFqbaNQVskc4yz2KOAyLtAt3Q5TgAAND0oAuDUJVqp4MVJ8aWlHiru1ulyZLtGk3ycbCveOU6ewe6FbcdQn+KORmmttBzX1WPCC1ucJtkwNgiXQbXNJ8aw7dt9VGd/T7PZArNFxEyh5Ph3cJ0uImfCoTK3bX851I3Bz+bfT2L889/C0GBxW2b4WsZUOkyiAQAHTtRgeI8syGVSTLZ0ObZObNtfHtGTDFHoCDdB0/Nf/46XNuzzeH0dKq+3H3u4vMblejxaqQcAlFXVx9Q9O1iCMalW8/Iznq53Bl0UVwqKy3DnuzsBAA0C+PFwZUDe12QBznvkSywd3ycmpm3mlPFE7hUUl0Gnb2rRumH5d/afy6oMKKsyBPwz//HpL3h2/T4sHd8H+bla+/ZYGNNVUFyG03VG++83LP8OOVoNFo7tFRNlKbVOQXEZPis+5rL9txO1Pr9HnUmgqFTndt9b20uxdsdRPDWxH/OZF/IAt3QVFJfh8OmmwDjervfoL7GJfFRQXIZZq4rssxcFWmWdCbNWFaGguCwo7x9KHNNF5KqguAyzVxXBzQP4oLOVL1v2nrJvi/aWLtv5bD705phOj9kxUpaS/2z3apO76QcDqNZojpl7drDIAjiRhu16bz7WLp6u9+gusYl8ZLYILFxbHJLPWrxuj9sBvNFE5jSmi0EXkdkisHjdHoT7yn76q9/tP0fzYqXezqdtWyyUpeQfs0Vg0ce7Q/qZzGeeyQM0ZTyvdysGXRQXCksqcLza2PKBAVCm06OwpCIknxUsjoEWYy4iaxlSptOHOxk4HoTui+HQ0vkUiI2ylPxTWFKBYyHO48xnnskcF0duQ9DF692KQRfFhRPVoa0shfrzAo1rcxA5i/ZrOtL4ej553uNLuL5v5jP3AjWRBq93KwZdFBfap2hi+vMCzWnKeJYSRFF/TUcaX88nz3t8Cdf3zXzmnvNEGq1/H17vVqxOUVwYkJeODimqkHxWjlaDAXnpIfmsYGFLF5GzAXnpyNFqEO6rIUcbG5WSls6nhNgoS8k/A/LSkZ2qDulnMp955rROVxvqArzerRh0UVyQyyQsvjI/JJ+1cGyvqF9zglPGEzmTyyQsHNsLAMIaeNnSEO28nU/b77FQlpJ/5DIJi8b1DulnMp955tS9sA3niNe7FYMuihuj83Pw4qT+SAzSSvTtEpV4cVL/mFhrwvGBFhdHJrIanZ+DZZP6IzsMrU2xVL7YeDqf2VoNlsXY30q+s92r0xKVQf2cJLU85q6pQJMHqKUL4PUOcHFkijOj83Mwslc2tu49hfeLSvHH6Xqo5JJ9NXtjg+sK98YGYV/N3nGfvsGMBKUC/TqlYUiPTAzslhEzT2mCsQo9USywlSGFJRU4Ua1H+xQNzuvSDtv3l+P9olKUVtTB0GBxW2b4WsZolHJkJqshk0nIbZeAwd1jq3xx5O58DshLj8m/lXxnyxff7S/HtgOn0GARqKo34bhOj2NVeo/Xl8kMZKeqkZmiRp3BjD9OO1+PGqUcndMTMaF/Jww+M5P5rAWyALV02cT79c6gi+KOXCZhWM8sDOuZFe6kRCx2LyTyTC6TMKh7htM2limt5+58EsllEob0yMSQHpnhTkrccp5IIzCVgXi+3tm9kIhcBHIVeiIiIoo+jjMWtrV7ITHoIiI3ZE5jusKXDiIiIgqPQHcvjHcMuojIBaeMJyIiim/OE2mEMSExgkEXEbmQcSINoohktgj7zzV6k9PvRESB5Hj/j5fJLoKJQRcRuXCMs1jOEkWGguIyDH38G/vv+0/WYujj36CguCyMqSKiWOXU64WVgTZj0EVELhwHzHKdLqLwKyguw+xVRSjT6Z22H9PpMXtVEQMvIgq4QK7TRQy6iMgNtnQRRQ6zRWDxuj1w15HQtm3xuj3sakhEAcWJNAKLQRcRuZA4posoYhSWVLi0cDkSAMp0ehSWVIQuUUQU8zipVmAx6CIir1jQEoXXiWrPAVdrjiMi8gW7FAYWgy4i8kpiKUEUVu1TNAE9jojIFzLe/wOKp5OIXDg+22JLF1F4DchLR45WA09XogQgR6vBgLz0UCaLiGIcp4kPLAZdROQVy1yi8JLLJCwc2wsAXAIv2+8Lx/ZiBYmIAooPXQOLQRcRuXKavZCFLlG4jc7PwbJJ/ZGtde5CmK3VYNmk/hidnxOmlBFRrOKDnMBShDsBRBTZGHMRRYbR+TkY2SsbhSUVOFGtR/sUa5dCVoyIKBg4kUZgMegiIq/Y0kUUOeQyCYO6Z4Q7GUQUB7g2V2CxeyERuZDAtTmIiIiIAoVBFxF5xQddRERERG3DoIuIXDg2bkls6SIiIiJqEwZdRERERETkxGwR9p/3nahx+p38x6CLiIiIiIjsCorLMPTxb+y/v7hxP4Y+/g0KisvCmKroxqCLiFywQyEREVF8Kiguw+xVRSjT6Z22H9PpMXtVEQOvVmLQRUREREREMFsEFq/bA3cdCW3bFq/bw66GrcCgi4hccO4MIiKi+FNYUuHSwuVIACjT6VFYUhG6RMUIBl1ERERERIQT1Z4DrtYcR00YdBEREREREdqnaAJ6HDVh0EVELiROpUFERBR3BuSlI0er8VgLkADkaDUYkJceymTFBAZdREREREQEuUzCwrG9ALjOZGz7feHYXpDL+HDWXwy6iMgFJ9IgIiKKT6Pzc7BsUn9ka527EGZrNVg2qT9G5+eEKWXRTRHuBBARERERUeQYnZ+Dkb2yUVhSgRPVerRPsXYpZAtX6zHoIiIiIiIiJ3KZhEHdM8KdjJjB7oVE5ILPsYiIiIgCh0EXERERERFREEVd0LVq1SrccsstOP/886FWqyFJElasWOH22J07d+LBBx/E5ZdfjqysLEiShBEjRoQ0vURRiTNpEBEREQVM1I3pWrBgAQ4dOoTMzEzk5OTg0KFDHo9ds2YNlixZApVKhbPOOgunTp0KYUqJopdFCPvP2/aXc/AsERERURtEXUvXK6+8goMHD+LkyZOYNWuW12OvvfZa/Pjjj6ipqcGXX34ZohQSRbeC4jKs2HLQ/vsNy7/D0Me/QUFxWfgSRURERBTFoq6l67LLLvP52N69ewcxJUSxp6C4DLNXFUE0235Mp8fsVUVcn4OIiIioFaKupYuIgsNsEVi8bo9LwAXAvm3xuj0wW9wdQURERESeMOjywmAwoKqqyuk/olhVWFKBMp3e434BoEynR2FJRegSRURERBQDGHR5sWTJEmi1Wvt/nTt3DneSiILmRLXngKs1xxERERGRFYMuLx544AHodDr7f6WlpeFOElHQtE/RBPQ4IiIiIrKKuok0QkmtVkOtVoc7GUQhMSAvHTlaDY7p9G7HdUkAsrUaDMhLD3XSiIiIiKIaW7qICAAgl0lYOLYXAGuA5cj2+8KxvbheFxEREZGfGHQRkd3o/Bwsm9Qf2VrnLoTZWg2niyciIiJqJXYvJCIno/NzMLJXNgpLKnCiWo/2KdYuhWzhIiIiImqdqAu6XnnlFXz77bcAgF27dtm3bdiwAQAwdOhQTJ8+HQDw66+/YunSpQCA+vp6+7apU6fa32/FihWhSThRFJHLJAzqnhHuZBARERHFBEkIEVUrnU6dOhUrV670uH/KlCn2QGrDhg24+OKLvb6fP39+VVUVtFotdDodUlNTfX4dERERERHFFn9ig6gLusKJQRcREREREQH+xQacSIOIiIiIiCiIGHQREREREREFEYMuIiIiIiKiIGLQRUREREREFEQMuoiIiIiIiIKIQRcREREREVEQMegiIiIiIiIKIgZdREREREREQcSgi4iIiIiIKIgYdBEREREREQURgy4iIiIiIqIgUoQ7AdFECAEAqKqqCnNKiIiIiIgonGwxgS1G8IZBlx+qq6sBAJ07dw5zSoiIiIiIKBJUV1dDq9V6PUYSvoRmBACwWCw4evQoUlJSIElSWNNSVVWFzp07o7S0FKmpqWFNC0UP5hvyF/MM+Yt5hvzFPEP+ipQ8I4RAdXU1OnbsCJnM+6gttnT5QSaToVOnTuFOhpPU1FQWUOQ35hvyF/MM+Yt5hvzFPEP+ioQ801ILlw0n0iAiIiIiIgoiBl1ERERERERBxKArSqnVaixcuBBqtTrcSaEownxD/mKeIX8xz5C/mGfIX9GYZziRBhERERERURCxpYuIiIiIiCiIGHQREREREREFEYMuIiIiIiKiIGLQRUREREREFEQMuqLM999/jyuuuAJpaWlISkrCwIEDsXr16nAni0LgyJEjeOaZZzBq1CicccYZUKlUyM7OxoQJE7B9+3a3r6mqqsL8+fPRpUsXqNVqdO3aFffccw9qamrcHm+xWPDss8+iT58+SEhIQFZWFm644QYcOHAgmH8ahdjjjz8OSZIgSRK+++47l/3MN2Tz0UcfYeTIkcjIyIBGo0FeXh5uuOEGlJaWOh3HPENCCHz44Ye4+OKLkZOTg8TERPTs2RO33HKL2++VeSZ+rFq1CrfccgvOP/98qNVqSJKEFStWeDw+FHnjiy++wEUXXYSUlBSkpqbi4osvxtdff93WP9U7QVHjm2++EUqlUqSkpIgZM2aI+fPniy5duggA4sknnwx38ijI7rvvPgFAdO/eXdx8883i/vvvFxMmTBByuVzIZDLxzjvvOB1fU1MjzjnnHAFAjBo1Stx3331i1KhRAoC44IILRH19vctnTJ8+XQAQvXv3Fvfee6+YNGmSUKlUIj09Xfz++++h+lMpiHbt2iXUarVISkoSAMS2bduc9jPfkBBCWCwWMXPmTHuZM2fOHHHfffeJyZMnizPOOENs3rzZfizzDAkhxPz58wUAkZOTI2bNmiXuvfdecfnllwtJkkRKSorYtWuX/Vjmmfhiq6tmZmbaf3799dfdHhuKvPHmm28KACIrK0vMnTtXzJ07V2RlZQlJksR7770X6D/fjkFXlDCZTKJ79+5CrVaLHTt22LdXVlaKs846S6hUKnHw4MHwJZCC7oMPPhAbNmxw2b5p0yahVCpFu3bthF6vt2//+9//LgCI++67z+l4W/D22GOPOW3/5ptvBAAxfPhwYTAY7Ns/++wze+FH0c1oNIr+/fuLCy+8UEyaNMlt0MV8Q0II8cwzzwgAYs6cOaKhocFlv8lksv/MPENlZWVCJpOJLl26iMrKSqd9Tz/9tAAgbrrpJvs25pn48uWXX9rrqEuWLPEadAU7b1RUVIi0tDSRmZkpSktL7dtLS0tFZmamyMzMFFVVVW35cz1i0BUlvvjiC5dCy2bFihUCgFi8eHEYUkaRwPYU6PvvvxdCWJ9Sd+zYUSQnJ4uamhqnY2tqakRycrLo1q2b0/YbbrhBABAbN250ef8RI0YIAOLQoUPB+yMo6BYuXCjUarXYvXu3mDJlikvQxXxDQghRV1cn2rVrJ7p16+YUXLnDPENCCLFt2zYBQNx4440u+37//XcBQPzlL38RQjDPxDtvQVco8sZLL73ksc68aNEiAUCsXLmylX+ddxzTFSU2bNgAABg1apTLvssvvxwAsHHjxlAmiSKIUqkEACgUCgDA3r17cfToUQwZMgRJSUlOxyYlJWHIkCE4cOCA07iMDRs22Pc1xzwW/YqKivDoo49i4cKF6NWrl9tjmG8IAP73v//h9OnTuOqqq2A2m/Hhhx9i6dKlePHFF7Fv3z6nY5lnCAB69OgBlUqFLVu2oKqqymnfJ598AgC49NJLATDPkGehyBvhrE8z6IoSe/fuBWAt2JrLzs5GcnKy/RiKL4cPH8ZXX32FnJwc9OnTB4D3/OK43XZcbW0tysrKkJeXB7lc3uLxFF0MBgP+9re/4ZxzzsG9997r8TjmGwKAH3/8EQAgl8vRt29fTJgwAQ888ABmz56Nnj174u6777YfyzxDAJCRkYGlS5fi8OHDOPvsszF79mzcd999GD16NO677z7MmTMHc+fOBcA8Q56FIm94+4xg5yVFUN6VAk6n0wEAtFqt2/2pqan2Yyh+mEwmTJ48GQaDAY8//ri90PElvzge5+/xFF3+/ve/Y+/evfjxxx/d3phsmG8IAE6cOAEAePrpp9G/f38UFhbiT3/6E3bs2IGZM2fiqaeeQvfu3TF79mzmGbK78847kZubi+nTp+PFF1+0bx86dChuvPFGe08M5hnyJBR5w9trgp2X2NJFFKUsFgumTp2KTZs2YcaMGZg8eXK4k0QRaNu2bXjyySexYMEC5Ofnhzs5FAUsFgsAQKVSYc2aNbjggguQnJyMYcOG4b333oNMJsNTTz0V5lRSpHn44YcxadIkPPjggygtLUV1dTU2b94MvV6PESNG4OOPPw53EonCikFXlLBF5J6i76qqKo+RPsUei8WCadOm4a233sKkSZOcnioCvuUXx+P8PZ6iQ0NDA6ZMmYK+ffvi/vvvb/F45hsCmr6v888/Hx07dnTal5+fj27dumH//v2orKxkniEAwFdffYWFCxdi7ty5uP/++9GpUyckJydj6NChWLduHZRKJe666y4ALGfIs1DkDW+vCXZeYtAVJbz1Mz127Bhqamo89oGl2GKxWHDTTTdh5cqVuOGGG7BixQrIZM6Xckv9kpv3aU5KSkJOTg5KSkpgNptbPJ6iQ01NDfbu3YudO3dCpVLZF0SWJAkrV64EAAwaNAiSJGHNmjXMNwQA6NmzJwAgLS3N7X7b9vr6euYZAgB8/vnnAICLL77YZV92djbOPvts7Nu3z6muwjxDzYUib3j7jGDnJQZdUeKiiy4CYJ1VqrkvvvjC6RiKXbaA64033sB1112HN9980+Pg0Y4dO2LLli2ora112ldbW4stW7YgLy8PnTt3tm+/6KKL7Puas+Wx4cOHB/gvomBSq9W4+eab3f5nu6mMGzcON998M7p27cp8QwCaKs6//PKLyz6TyYR9+/YhKSkJWVlZzDMEADAajQCAkydPut1/8uRJyGQyKJVK5hnyKBR5I6z16aBMRE8BZzKZRLdu3bwujlxSUhK29FHwmc1m+9pK1157bYvr53DxSfLG3TpdQjDfkJVt7b/ly5c7bX/44YcFADFp0iT7NuYZevvttwUA0bt3b5fFkZctWyYAiCFDhti3Mc/Er0hYHFmr1XJxZPLum2++EUqlUqSkpIgZM2aI+fPniy5duggA4sknnwx38ijIFi5cKACI5ORk8dBDD4mFCxe6/OcYkNfU1Ih+/frZC53777/fXpG64IILRF1dnctnTJ8+3X7jvPfee8XkyZOFSqUS6enp4rfffgvhX0vB5inoYr4hIYTYt2+faN++vQAgxowZI+666y5xySWXCACiS5cuoqyszH4s8ww1NDSI4cOHCwCiffv2Yvr06eLuu++255mEhASxfft2+/HMM/Fl+fLlYsqUKWLKlCmif//+9iDcts3x4U4o8sabb74pAIisrCwxd+5cMXfuXJGVlSUkSRKrV68O2nlg0BVltm/fLkaPHi1SU1NFQkKCGDBggHjnnXfCnSwKAVsl2dt/zZ8cVVZWijvuuEN07txZKJVKccYZZ4i77rrL41Mcs9ks/v3vf4vevXsLtVotMjIyxHXXXSf27dsXgr+QQslT0CUE8w1ZHT58WEydOlVkZ2cLpVIpOnfuLG699VZx/Phxl2OZZ0iv14slS5aIc889VyQmJgqFQiFyc3PFpEmTxJ49e1yOZ56JHy3VX6ZMmeJ0fCjyxueffy6GDRsmkpKSRHJysrjooovEl19+Gcg/24UkhBBt7KFIREREREREHnAiDSIiIiIioiBi0EVERERERBREDLqIiIiIiIiCiEEXERERERFREDHoIiIiIiIiCiIGXUREREREREHEoIuIiIiIiCiIGHQREREREREFEYMuIiIiIiKiIGLQRUREFEJTp06FJEk4ePBguJNCREQhwqCLiIgiUm1tLR577DH0798fycnJUKvV6NSpE4YNG4YHHngA+/fvD3cSiYiIfKIIdwKIiIiaq66uxtChQ/Hzzz/jzDPPxKRJk5CRkYFTp06hsLAQS5cuRffu3dG9e/dwJ5WIiKhFDLqIiCjiPPPMM/j5558xffp0vPzyy5AkyWl/SUkJDAZDmFJHRETkH3YvJCKiiLNt2zYAwK233uoScAFAXl4ezj77bPvv69evx7Rp09CzZ08kJycjOTkZ559/Pl5++WW37y9JEkaMGIEjR47gxhtvRGZmJlJSUjBmzBgcOHAAAPDLL7/gqquuQnp6OlJSUnDNNdfg+PHjTu9z8OBBSJKEqVOnYvfu3RgzZgzS0tKQnJyMUaNG4ccff/Tr7960aRPGjh2LzMxMqNVq9OjRAwsWLEBdXZ3LsR988AEuuugitG/fHhqNBh07dsRll12GDz74wK/PJCKi4GPQRUREEScjIwMA8Pvvv/t0/OOPP45NmzbhggsuwNy5czFp0iScOnUKt9xyC+666y63rzl9+jSGDh2KkpISTJkyBSNGjMBnn32GkSNHori4GIMHD0ZNTQ2mTZuG888/Hx988AFuuOEGt+914MABDBkyBPX19Zg9ezbGjRuH9evXY/jw4di+fbtPf8OyZcswYsQIbNmyBWPGjMHtt9+OTp064dFHH8XIkSNhNBqdjr3mmmuwd+9eXH311Zg/fz5Gjx6NY8eO4aOPPvLp84iIKIQEERFRhFm7dq0AIFJSUsRdd90lvvjiC3Hq1CmPxx84cMBlm8lkEiNHjhRyuVwcOnTIaR8AAUDceeedTttnz54tAIi0tDTxzDPP2LdbLBZxxRVXCADixx9/tG8vKSmxv9f999/v9F4FBQUCgOjTp4/T9ilTpggAoqSkxL5t9+7dQqFQiH79+rn8nUuWLBEAxJNPPmnf1r9/f6FSqcTx48dd/m5v54mIiMKDLV1ERBRxxo0bh6eeegpCCDz11FO4/PLLkZmZiTPPPBNz587F3r17nY7Py8tzeQ+FQoFZs2bBbDZj/fr1LvuTk5PxyCOPOG2ztWRlZGTg9ttvt2+XJAnXX389AOCnn35yea+0tDQ89NBDTtsuv/xyXHrppdi1a1eL3QxfeuklNDQ04Nlnn7W38tnce++9yMrKwttvv+20XalUQqlUurxX89cTEVH4cSINIiKKSPPnz8eMGTNQUFCArVu34ocffsD27dvx/PPP49VXX8W7776LcePGAbDOdvjkk09izZo12L9/P2pra53e6+jRoy7v36NHDyQmJjpty8nJAQD07dvXZSyZbZ+79zr33HORnJzssn3YsGH4+uuvsWPHDpx33nke/9bvvvsOAPDFF1/g66+/dtmvVCrx66+/2n+//vrrce+99yI/Px833ngjLr74YgwdOhSpqakeP4OIiMKHQRcREUWslJQUXHvttbj22msBADqdDg8++CBeeOEF3HzzzThy5AgAYMSIESgqKsK5556LyZMnIyMjAwqFAgcPHsTKlSvdznToLkBRKBQt7jOZTC77OnTo4Db9tu06nc7r31lRUQEAePTRR70eZ3P33XcjIyMDy5Ytw1NPPYUnn3wSCoUCY8aMwb/+9S+3LX9ERBQ+DLqIiChqaLVaPPfcc/j0009x6NAh7Nq1CwcOHEBRURFuvvlmvPLKK07Hv/POO1i5cmXQ09V8VsPm27VardfX24K8qqoqpKSktPh5kiRh2rRpmDZtGsrLy7F582a8/fbbWL16Nfbu3Yuff/4Zcrncz7+CiIiChWO6iIgoqkiShKSkJPvv+/fvBwBceeWVLsdu3rw5JGnasWMHampqPH7+ueee6/X1F154IYCmbob+yMjIwFVXXYV3330Xl1xyCfbs2YN9+/b5/T5ERBQ8DLqIiCjivPTSS/j+++/d7luzZg1++eUXpKWlIT8/H126dAEAfPvtt07Hbdy4EcuXLw96WgGgsrLSpWugbXxWfn6+1/FcADBnzhwoFArcdtttOHz4sNv337Fjh/33DRs2QAjhdIzJZLJ3U9RoNK39U4iIKAjYvZCIiCLO559/jlmzZuHMM8/EkCFD0LFjR9TW1mLHjh3YvHkzZDIZXnjhBajVaowdOxZdu3bFP//5TxQXFyM/Px+//fYbPvnkE1x99dV4//33g57eYcOGYdmyZdi+fTsGDhyIgwcP4r333kNCQoJLl0d38vPz8cILL2D27Nno2bMnrrjiCnTv3h3V1dU4cOAANm7ciKlTp+LFF18EAFx11VVITU3FwIED0aVLF5hMJnz55ZfYs2cPrrnmGnsgSkREkYFBFxERRZzHH38cQ4YMwZdffolNmzahrKwMAJCbm4spU6bgtttus7ceJScn45tvvsE999yDTZs2YcOGDejduzf++9//okOHDiEJurp164Zly5bh3nvvxfPPPw+z2YwRI0Zg6dKlLbZy2cyYMQPnnHMOnn76aWzatAnr1q2DVqvFGWecgTvvvBNTpkyxH7tkyRIUFBSgsLAQ69atQ1JSErp3745ly5bh5ptvDtafSURErSSJ5v0TiIiIyCcHDx5EXl4epkyZghUrVoQ7OUREFKE4pouIiIiIiCiIGHQREREREREFEYMuIiIiIiKiIOKYLiIiIiIioiBiSxcREREREVEQMegiIiIiIiIKIgZdREREREREQcSgi4iIiIiIKIgYdBEREREREQURgy4iIiIiIqIgYtBFREREREQURAy6iIiIiIiIguj/AccwJroZCLUHAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_results(y=y_valid, yhat=yhat, n=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:25.956170500Z",
     "start_time": "2023-07-11T17:36:25.855611300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(10)\n",
    "plt.title(\"Static Curve\")\n",
    "plt.plot(Uo, Yo, linewidth=1.5, label=\"Static curve\", linestyle=\"-\", marker=\"o\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    QR.dot(model.theta),\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX ​​static representation\",\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.xlabel(\"$\\\\bar{y}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.030539300Z",
     "start_time": "2023-07-11T17:36:25.943142500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(11)\n",
    "plt.title(\"Costs Functions\")\n",
    "plt.plot(J[1, :], J[0, :], \"o\")\n",
    "plt.xlabel(\"Static Curve Information\")\n",
    "plt.ylabel(\"Prediction Error\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where the best estimated $\\theta$ is"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| Theta       | SysIdentPy   | IniciacaoCientifica2007  |\n",
    "|-------------|--------------|--------------------------|\n",
    "| $\\theta_1$  | 0.54940883   | 0.5494135                |\n",
    "| $\\theta_2$  | 0.40803995   | 0.4080312                |\n",
    "| $\\theta_3$  | 1.38725684   | 3.3857601                |\n",
    "| $\\theta_4$  | -12.51466378 | -12.513688               |\n",
    "| $\\theta_5$  | 8.11712897   | 8.116575                 |\n",
    "| $\\theta_6$  | -11.04664789 | -11.04592                |\n",
    "| $\\theta_7$  | 12.22693907  | 12.227184                |\n",
    "| $\\theta_8$  | 2.90425844   | 2.9038468                |\n",
    "\n",
    "where:\n",
    "\n",
    "$\n",
    "E_{Scilab} = 17.408934\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "E_{Python} = 17.408947\n",
    "$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiobjective parameter estimation\n",
    "\n",
    "### Use case considering 2 different objectives: the prediction error and the static gain "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.038110800Z",
     "start_time": "2023-07-11T17:36:26.035606500Z"
    }
   },
   "outputs": [],
   "source": [
    "bi_objective_gain = AILS(\n",
    "    static_function=False, static_gain=True, final_model=final_model, normalize=False\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the value of theta with the lowest mean squared error obtained through the routine in Scilab was:\n",
    "\n",
    "$\n",
    "W_{LS} = 0.9931126\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "W_{SF} = 0.0068874\n",
    "$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.121025300Z",
     "start_time": "2023-07-11T17:36:26.038110800Z"
    }
   },
   "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>w1</th>\n",
       "      <th>w2</th>\n",
       "      <th>J_ls</th>\n",
       "      <th>J_sg</th>\n",
       "      <th>||J||:</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>17.407256</td>\n",
       "      <td>3.579461e+01</td>\n",
       "      <td>39.802849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.997012</td>\n",
       "      <td>0.002988</td>\n",
       "      <td>17.407528</td>\n",
       "      <td>2.109260e-01</td>\n",
       "      <td>17.408806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.994033</td>\n",
       "      <td>0.005967</td>\n",
       "      <td>17.407540</td>\n",
       "      <td>2.082067e-01</td>\n",
       "      <td>17.408785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.991063</td>\n",
       "      <td>0.008937</td>\n",
       "      <td>17.407559</td>\n",
       "      <td>2.056636e-01</td>\n",
       "      <td>17.408774</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.988102</td>\n",
       "      <td>0.011898</td>\n",
       "      <td>17.407585</td>\n",
       "      <td>2.031788e-01</td>\n",
       "      <td>17.408771</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995</th>\n",
       "      <td>0.002555</td>\n",
       "      <td>0.997445</td>\n",
       "      <td>17.511596</td>\n",
       "      <td>3.340081e-07</td>\n",
       "      <td>17.511596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1996</th>\n",
       "      <td>0.002547</td>\n",
       "      <td>0.997453</td>\n",
       "      <td>17.511596</td>\n",
       "      <td>3.320125e-07</td>\n",
       "      <td>17.511596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1997</th>\n",
       "      <td>0.002540</td>\n",
       "      <td>0.997460</td>\n",
       "      <td>17.511597</td>\n",
       "      <td>3.300289e-07</td>\n",
       "      <td>17.511597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1998</th>\n",
       "      <td>0.002532</td>\n",
       "      <td>0.997468</td>\n",
       "      <td>17.511598</td>\n",
       "      <td>3.280571e-07</td>\n",
       "      <td>17.511598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999</th>\n",
       "      <td>0.002525</td>\n",
       "      <td>0.997475</td>\n",
       "      <td>17.511599</td>\n",
       "      <td>3.260972e-07</td>\n",
       "      <td>17.511599</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2000 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            w1        w2       J_ls          J_sg     ||J||:\n",
       "0     1.000000  0.000000  17.407256  3.579461e+01  39.802849\n",
       "1     0.997012  0.002988  17.407528  2.109260e-01  17.408806\n",
       "2     0.994033  0.005967  17.407540  2.082067e-01  17.408785\n",
       "3     0.991063  0.008937  17.407559  2.056636e-01  17.408774\n",
       "4     0.988102  0.011898  17.407585  2.031788e-01  17.408771\n",
       "...        ...       ...        ...           ...        ...\n",
       "1995  0.002555  0.997445  17.511596  3.340081e-07  17.511596\n",
       "1996  0.002547  0.997453  17.511596  3.320125e-07  17.511596\n",
       "1997  0.002540  0.997460  17.511597  3.300289e-07  17.511597\n",
       "1998  0.002532  0.997468  17.511598  3.280571e-07  17.511598\n",
       "1999  0.002525  0.997475  17.511599  3.260972e-07  17.511599\n",
       "\n",
       "[2000 rows x 5 columns]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = np.zeros((2, 2000))\n",
    "w[0, :] = np.logspace(0, -6, num=2000, base=2.71)\n",
    "w[1, :] = np.ones(2000) - w[0, :]\n",
    "# W = np.array([[0.9931126],\n",
    "# [0.0068874]])\n",
    "J, E, theta, HR, QR, position = bi_objective_gain.estimate(\n",
    "    X=x_train, y=y_train, gain=gain, y_static=Yo, X_static=Uo, weighing_matrix=w\n",
    ")\n",
    "result = {\"w1\": w[0, :], \"w2\": w[1, :], \"J_ls\": J[0, :], \"J_sg\": J[1, :], \"||J||:\": E}\n",
    "pd.DataFrame(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.234880200Z",
     "start_time": "2023-07-11T17:36:26.123024200Z"
    }
   },
   "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>Regressors</th>\n",
       "      <th>Parameters</th>\n",
       "      <th>ERR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1.4853E+00</td>\n",
       "      <td>9.999E-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>y(k-1)</td>\n",
       "      <td>5.4940E-01</td>\n",
       "      <td>2.042E-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>y(k-2)</td>\n",
       "      <td>4.0806E-01</td>\n",
       "      <td>1.108E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>x1(k-1)</td>\n",
       "      <td>-1.2581E+01</td>\n",
       "      <td>4.688E-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>x1(k-2)</td>\n",
       "      <td>1.2210E+01</td>\n",
       "      <td>3.922E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>x1(k-1)^2</td>\n",
       "      <td>8.1686E+00</td>\n",
       "      <td>8.389E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>x1(k-2)x1(k-1)</td>\n",
       "      <td>-1.1122E+01</td>\n",
       "      <td>5.690E-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>x1(k-2)^2</td>\n",
       "      <td>2.9455E+00</td>\n",
       "      <td>3.827E-06</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Regressors   Parameters        ERR\n",
       "0               1   1.4853E+00  9.999E-01\n",
       "1          y(k-1)   5.4940E-01  2.042E-05\n",
       "2          y(k-2)   4.0806E-01  1.108E-06\n",
       "3         x1(k-1)  -1.2581E+01  4.688E-06\n",
       "4         x1(k-2)   1.2210E+01  3.922E-07\n",
       "5       x1(k-1)^2   8.1686E+00  8.389E-07\n",
       "6  x1(k-2)x1(k-1)  -1.1122E+01  5.690E-07\n",
       "7       x1(k-2)^2   2.9455E+00  3.827E-06"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Writing the results\n",
    "model.theta = theta[position, :].reshape(-1, 1)\n",
    "model.final_model = bi_objective_gain.final_model\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model,\n",
    "        model.theta,\n",
    "        model.err,\n",
    "        model.n_terms,\n",
    "        err_precision=3,\n",
    "        dtype=\"sci\",\n",
    "    ),\n",
    "    columns=[\"Regressors\", \"Parameters\", \"ERR\"],\n",
    ")\n",
    "r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.355391Z",
     "start_time": "2023-07-11T17:36:26.163688700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_results(y=y_valid, yhat=yhat, n=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.452301700Z",
     "start_time": "2023-07-11T17:36:26.302207200Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(12)\n",
    "plt.title(\"Gain\")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    gain,\n",
    "    linewidth=1.5,\n",
    "    linestyle=\"-\",\n",
    "    marker=\"o\",\n",
    "    label=\"Buck converter static gain\",\n",
    ")\n",
    "plt.plot(\n",
    "    Uo,\n",
    "    HR.dot(model.theta),\n",
    "    linestyle=\"-\",\n",
    "    marker=\"^\",\n",
    "    linewidth=1.5,\n",
    "    label=\"NARX model gain\",\n",
    ")\n",
    "plt.xlabel(\"$\\\\bar{u}$\")\n",
    "plt.ylabel(\"$\\\\bar{g}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.508762500Z",
     "start_time": "2023-07-11T17:36:26.422233300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(11)\n",
    "plt.title(\"Costs Functions\")\n",
    "plt.plot(J[1, :], J[0, :], \"o\")\n",
    "plt.xlabel(\"Gain Information\")\n",
    "plt.ylabel(\"Prediction Error\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "being the selected $\\theta$:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| Theta       | SysIdentPy    | IniciacaoCientifica2007   |\n",
    "|-------------|---------------|---------------------------|\n",
    "| $\\theta_1$  | 0.54939785    | 0.54937289                |\n",
    "| $\\theta_2$  | 0.40805603    | 0.40810168                |\n",
    "| $\\theta_3$  | 1.48525190    | 1.48663719                |\n",
    "| $\\theta_4$  | -12.58066084  | -12.58127183              |\n",
    "| $\\theta_5$  | 8.16862622    | 8.16780294                |\n",
    "| $\\theta_6$  | -11.12171897  | -11.11998621              |\n",
    "| $\\theta_7$  | 12.20954849   | 12.20927355               |\n",
    "| $\\theta_8$  | 2.94548501    | 2.9446532                 |\n",
    "\n",
    "where:\n",
    "\n",
    "$\n",
    "E_{Scilab} =  17.408997\n",
    "$\n",
    "\n",
    "and:\n",
    "\n",
    "$\n",
    "E_{Python} = 17.408781\n",
    "$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Additional Information\n",
    "\n",
    "You can also access the matrix Q and H using the following methods"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matrix Q:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.518219Z",
     "start_time": "2023-07-11T17:36:26.508762500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[   50.        ,   800.        ,   800.        ,   100.        ,\n",
       "          100.        ,   269.3877551 ,   269.3877551 ,   269.3877551 ],\n",
       "       [  800.        , 17240.81632653, 17240.81632653,  1044.89795918,\n",
       "         1044.89795918,  2089.79591837,  2089.79591837,  2089.79591837],\n",
       "       [  800.        , 17240.81632653, 17240.81632653,  1044.89795918,\n",
       "         1044.89795918,  2089.79591837,  2089.79591837,  2089.79591837],\n",
       "       [  100.        ,  1044.89795918,  1044.89795918,   269.3877551 ,\n",
       "          269.3877551 ,   816.32653061,   816.32653061,   816.32653061],\n",
       "       [  100.        ,  1044.89795918,  1044.89795918,   269.3877551 ,\n",
       "          269.3877551 ,   816.32653061,   816.32653061,   816.32653061],\n",
       "       [  269.3877551 ,  2089.79591837,  2089.79591837,   816.32653061,\n",
       "          816.32653061,  2638.54142407,  2638.54142407,  2638.54142407],\n",
       "       [  269.3877551 ,  2089.79591837,  2089.79591837,   816.32653061,\n",
       "          816.32653061,  2638.54142407,  2638.54142407,  2638.54142407],\n",
       "       [  269.3877551 ,  2089.79591837,  2089.79591837,   816.32653061,\n",
       "          816.32653061,  2638.54142407,  2638.54142407,  2638.54142407]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bi_objective_gain.build_static_function_information(Uo, Yo)[1]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matrix H+R:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-11T17:36:26.520765Z",
     "start_time": "2023-07-11T17:36:26.513648100Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[    0.        ,     0.        ,     0.        ,     0.        ,\n",
       "            0.        ,     0.        ,     0.        ,     0.        ],\n",
       "       [    0.        ,  3200.        ,  3200.        ,  -400.        ,\n",
       "         -400.        , -1600.        , -1600.        , -1600.        ],\n",
       "       [    0.        ,  3200.        ,  3200.        ,  -400.        ,\n",
       "         -400.        , -1600.        , -1600.        , -1600.        ],\n",
       "       [    0.        ,  -400.        ,  -400.        ,    50.        ,\n",
       "           50.        ,   200.        ,   200.        ,   200.        ],\n",
       "       [    0.        ,  -400.        ,  -400.        ,    50.        ,\n",
       "           50.        ,   200.        ,   200.        ,   200.        ],\n",
       "       [    0.        , -1600.        , -1600.        ,   200.        ,\n",
       "          200.        ,  1077.55102041,  1077.55102041,  1077.55102041],\n",
       "       [    0.        , -1600.        , -1600.        ,   200.        ,\n",
       "          200.        ,  1077.55102041,  1077.55102041,  1077.55102041],\n",
       "       [    0.        , -1600.        , -1600.        ,   200.        ,\n",
       "          200.        ,  1077.55102041,  1077.55102041,  1077.55102041]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bi_objective_gain.build_static_gain_information(Uo, Yo, gain)[1]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "'gabriel'",
   "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": "3.11.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "e03fe37868962894ce69ba1512be75d7d9445f7474f41c85c2a9ae3e524aa256"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}