Lab_19_intro_to_ML_time_series_part_III.ipynb

lab_19_intro_to_ml_time_series_part_iii.ipynb

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  "metadata": {
    "colab": {
      "name": "Lab_19_intro_to_ML_time_series_part_III.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyPSo+OULLvqBizTqvpmpIgw",
      "include_colab_link": true
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
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      "source": [
        "<a href=\"https://colab.research.google.com/gist/jamm1985/0905aa92e160306db663f7e6a1485120/lab_19_intro_to_ml_time_series_part_iii.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Видео лабораторной: https://youtu.be/7b-cETOV9ZM\n",
        "\n",
        "TG: https://t.me/data_science_news\n",
        "\n",
        "\n",
        "\n",
        "---"
      ],
      "metadata": {
        "id": "UCWIP5RNHfS2"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "CPSaZ9bfiZkK",
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          "base_uri": "https://localhost:8080/"
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      },
      "outputs": [
        {
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          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: statsmodels==0.13.0 in /usr/local/lib/python3.7/dist-packages (0.13.0)\n",
            "Requirement already satisfied: pyreadr in /usr/local/lib/python3.7/dist-packages (0.4.4)\n",
            "Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.21.6)\n",
            "Requirement already satisfied: scipy>=1.3 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.4.1)\n",
            "Requirement already satisfied: patsy>=0.5.2 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (0.5.2)\n",
            "Requirement already satisfied: pandas>=0.25 in /usr/local/lib/python3.7/dist-packages (from statsmodels==0.13.0) (1.3.5)\n",
            "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.25->statsmodels==0.13.0) (2022.1)\n",
            "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.25->statsmodels==0.13.0) (2.8.2)\n",
            "Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from patsy>=0.5.2->statsmodels==0.13.0) (1.15.0)\n"
          ]
        }
      ],
      "source": [
        "# install the latest statsmodels package\n",
        "!pip install statsmodels==0.13.0 pyreadr"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "from pandas.tseries.offsets import DateOffset\n",
        "\n",
        "import pyreadr\n",
        "from scipy import signal\n",
        "\n",
        "from sklearn.linear_model import LinearRegression\n",
        "from sklearn.preprocessing import PolynomialFeatures\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf, plot_predict\n",
        "from statsmodels.tsa.ar_model import AutoReg\n",
        "from statsmodels.tsa.arima.model import ARIMA\n",
        "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
        "from scipy.stats import norm"
      ],
      "metadata": {
        "id": "zl9kepTti0_i"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Книга \n",
        "\n",
        "Shumway R. H., Stoffer D. S. Time series analysis and its applications: with R examples. – 2007.\n",
        "\n",
        "https://link.springer.com/book/10.1007/978-3-319-52452-8"
      ],
      "metadata": {
        "id": "8kwyRQ3Ai_KR"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Обзор\n",
        "\n"
      ],
      "metadata": {
        "id": "ZqPvCBstjCdH"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Понятие временного ряда\n",
        "\n",
        "Временной ряд - это набор измерений во времени $x_1, x_2,...,x_n$. Статистическая модель предполагает, что $x_1, x_2,...,x_n$ это реализации случайных величин $X_1,...,X_n$ (необязательно независимых!)."
      ],
      "metadata": {
        "id": "B30uVg5qsPR4"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Статистика временных рядов\n",
        "\n",
        "Временной ряд это реализация случайных величин $X_1,...,X_n$ во времени.\n",
        "\n",
        "Частное математическое ожидание для каждого отдельно измерения: $\\mu_X(t)=E(X_t)$\n",
        "\n",
        "Частная дисперсия: $\\mathrm{Var}(X_t)=E[(X_t - \\mu_X(t))^2]$\n",
        "\n",
        "Автоковариация: $\\gamma_X(s,t)=\\mathrm{Cov}(X_s,X_t)=E[(X_s - \\mu_X(X_s))(X_t - \\mu_X(X_t))]$\n",
        "\n",
        "Автокорреляция (ACF): $\\rho_X(s,t)=\\frac{\\gamma_X(s,t)}{\\sqrt{\\gamma_X(s,s)\\gamma_X(t,t)}}$ \n",
        "\n",
        "### Слабая стационарность\n",
        "\n",
        "Математическое ожидание и дисперсия являются равными вне зависимости от времени: $\\mu_X(t)=\\mu_X$, $\\mathrm{Var}(X_t)=\\sigma_x^2$.\n",
        "\n",
        "### Сильная стационарность\n",
        "\n",
        "Распределение $X_t,...,X_{t+n}$ идентично распределению $X_{t+h},...,X_{t+n+h}$ для любых $t,n,h$\n",
        "\n",
        "### Оценка параметров для стационарных рядов\n",
        "\n",
        "Выборочное среднее: $\\bar{X}_n=\\frac{1}{n}\\sum_{t=1}^n x_t$\n",
        "\n",
        "Выборочная автоковариация: \n",
        "\n",
        "$$\\hat{\\gamma}_X(h)=\\frac{1}{n}\\sum_{t=1}^{n-|h|}(x_t-\\bar{X}_n)(x_{t+|h|}-\\bar{X}_n)$$ для $-n<h<n$,\n",
        "\n",
        "то есть $\\gamma(s,t)=\\gamma_X(|s-t|)$\n",
        "\n",
        "Выборочная автокорреляция: \n",
        "\n",
        "$$\\hat{\\rho}_X(h)=\\frac{\\hat{\\gamma}_X(h)}{\\hat{\\gamma}_X(0)}$$ для $-n<h<n$\n",
        "\n",
        "Дисперсия __оценки__ $\\mathrm{Var}(\\bar{X}_n)=\\frac{1}{n}\\sum_{h=-n}^n(1-\\frac{|h|}{n})\\gamma(h)$ зависит от $\\gamma$ так как условие i.i.d не выполняется"
      ],
      "metadata": {
        "id": "UfCSUCArPUTS"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Поиск стационарности\n",
        "\n",
        "Моделипование временного ряда по компонентам тренда. То есть, модель принимает вид: $X_t = T_t + S_t + Y_t$, где\n",
        "\n",
        "- $T_t$ - детерминестический тренд,\n",
        "- $S_t$ - сезонные вариации,\n",
        "- $Y_t$ - остаточная часть (стационарный процесс).\n",
        "\n",
        "\n",
        "Дифференцирование: \n",
        "\n",
        "$Y_t= \\nabla X_t = X_t - X_{t-1}$\n",
        "\n",
        "$V_t = \\nabla^2 X_t = \\nabla X_t - \\nabla X_{t-1}$"
      ],
      "metadata": {
        "id": "PSzPnHehWxia"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Модель \"Белый Шум\" (White Noise)\n",
        "\n",
        "Белый Шум это серия некорреклируемых случайных величин $W_t$ с математическим ожиданием $E[W_t]=0$ и дисперсией $\\mathrm{Var}(W_t)=\\sigma^2$. Зачастую $W_t$ рассматривается как реализация случайных величин (нод, iid) из нормального распредедлелния $N(0,\\sigma^2)$.\n",
        "\n",
        "## Свойства \n",
        "\n",
        "- Математическое ожидание: $\\mu_w(t)=E[W_t]=0$\n",
        "- Автоковариация: \n",
        "    - $\\gamma(t,t)=\\mathrm{Var}(W_t)=\\sigma^2$\n",
        "    - $\\gamma(s,t)=\\mathrm{Cov}(W_s, W_t)=0$\n",
        "- $W_t$ это стационарный временной ряд\n"
      ],
      "metadata": {
        "id": "0SmzhzAtutLF"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Скользящее среднее (Moving Average)\n",
        "\n",
        "Скользящее среднее порядка $q$ это модель вида \n",
        "\n",
        "$$\\mathrm{MA}(q)=X_t=W_t+\\theta_1 W_{t-1} + \\theta_2 W_{t-2} +...+ \\theta_q W_{t-q}=\\sum_{h=0}^q \\theta_h W_{t-h},$$ \n",
        "\n",
        "где $W_t$ - белый шум.\n",
        "\n",
        "Пример: $v_t = \\frac{1}{3}(w_{t-t} + w_t + w_{t+1})$\n",
        "\n",
        "## Свойства\n",
        "\n",
        "- Математическое ожидание: $E[X_t]=0$\n",
        "- Автоковариация: \n",
        "    - $\\gamma_X(h)=\\mathrm{Cov}(\\sum_{j=0}^q \\theta_j W_{t-j}, \\sum_{k=0}^q \\theta_k W_{t+h-k})$\n",
        "    - $\\gamma_X(h)$ зависит только от лага\n",
        "- $\\mathrm{MA}(q)$ - это cтационарный временной ряд\n",
        "\n"
      ],
      "metadata": {
        "id": "c--Plj7H-Bb7"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Модель \"Случайное блуждание\" (Random Walk)\n",
        "\n",
        "Модель случайного блуждания имеет вид $X_t = X_{t-1} + W_t = X_0 + W_1 +...+ W_t = X_0 + \\sum_{i=1}^t W_i$. Зачастую $X_0$ это фиксированное значение, например, $0$.\n",
        "\n",
        "Случайное блуждание с дрейфом (Random Walk with drift): $Y_t = \\delta + Y_{t-1} + W_t = t\\delta + Y_0 + \\sum_{i=1}^t W_i$\n",
        "\n",
        "## Свойства\n",
        "\n",
        "- Математическое ожидание: \n",
        "    - $\\mu_X(t)=E[X_t]=E[X_0 + \\sum_{i=1}^t W_i]=E[X_0]$, \n",
        "    - $\\mu_Y(t)=E[Y_t]=t\\delta + E[Y_0]$\n",
        "- Дисперсия:\n",
        "    - $\\sigma_X^2(t)=\\mathrm{Var}(X_0 + \\sum_{i=1}^t W_i)=\\mathrm{Var}(X_0)+\\sum_{h=1}^t [ 2 \\mathrm{Cov}(X_0, W_h) + \\mathrm{Var}(W_h)] + 2 \\sum_{1 \\leq h < j \\leq t} \\mathrm{Cov}(W_h, W_t)= \\mathrm{Var}(X_0) + t\\sigma_w^2$\n",
        "    - $\\sigma_Y^2(t)=\\mathrm{Var}(Y_0) + t\\sigma_w^2$\n",
        "- Ковариация:\n",
        "    - $\\gamma_X(s,t)=\\mathrm{Cov}(X_0 + \\sum_{h=1}^s W_h, X_0 + \\sum_{h=1}^t W_h)=\\mathrm{Var}(X_0) + \\sum_{h=1}^{\\min(s,t)} \\mathrm{Var}(W_h)=\\mathrm{Var}(X_0)+ \\min(s,t)\\sigma_W^2$\n",
        "    - $\\gamma_Y(s,t)=\\mathrm{Var}(Y_0)+ \\min(s,t)\\sigma_W^2$\n",
        "- Случайное блуждание это нестационарный временной ряд!\n",
        "- $\\nabla X_t=X_t - X_{t-1}=W_t$ - стационарный ряд.\n"
      ],
      "metadata": {
        "id": "mf1xtYFxHg7n"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Авторегриссионная модель\n",
        "\n",
        "Авторегрессионная модель $AR(p)$ порядка $p$ это временной ряд вида: $X_t=\\phi_1 X_{t-1} + \\phi_2 X_{t-2} +...+ \\phi_p X_{t-p} + W_t$, где $\\{W_t\\}_t$ это белый шум и $W_t$ некоррелирует с $X_s$ для $s<t$\n",
        "\n",
        "Ввиду рекурсивности все реализации модели зависимы. Следовательно, австоковариация $\\gamma_X(h)$ не равна нулю при увелечении лага и спадает экспоненциально."
      ],
      "metadata": {
        "id": "tLvKULMVcx7y"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Линейные процессы (обощение)\n",
        "\n",
        "Линейный процесс $X_t$ задан линейными комбинациями белого шума $W_t$ в виде:\n",
        "\n",
        "$$X_t=\\mu + \\sum_{j=-\\infty}^\\infty \\psi_j W_{t-j},$$\n",
        "\n",
        "где $\\sum_{j=-\\infty}^\\infty |\\psi_j| < \\infty$\n",
        "\n",
        "Автоковариация линейного процесса зависит только от лага:\n",
        "\n",
        "$$\\gamma_X(h)=\\sigma_W^2 \\sum_{j=-\\infty}^\\infty \\psi_{j+h} \\psi_j$$\n",
        "\n",
        "следовательно линейный процесс является стационарной моделью.\n",
        "\n",
        "Скользящее среднее MA(q) - линейный процесс. \n",
        "\n",
        "Авторегрессионная модель AR(p) является линейным процессом только при соблюдении условий. \n",
        "\n",
        "Например, AR(1) можно выразить как $X_t=W_t+ \\phi_1 X_{t-1} = \\sum_{j=0}^\\infty \\phi_1^j W_{t-j}$. Очевидно, что сумма сходится, если $|\\phi_1| < 1$. В этом случае, AR(1) является стационарным процессом. Тест на $|\\phi_1| < 1$ называется unit root test.\n",
        "\n",
        "В общем случае AR(p) является стационарным, если корни полинома $\\Phi(z)=1-\\sum_{i=1}^p \\phi_i z^i$ лежат вне единичного круга, т.е. каждый комплексный корень $|z_i|>1$. "
      ],
      "metadata": {
        "id": "zJZfB09-Uy7t"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ARIMA\n",
        "\n",
        "ARMA(p,q) это авторегрессионная модель со скользящим средним для стационарного ряда вида:\n",
        "\n",
        "$$X_t=\\phi_1 X_{t-1} + ... + \\phi_p X_{t-p} + W_t + \\theta_1 W_{t-1} + ... + \\theta_q W_{t-q}$$\n",
        "\n",
        "ARIMA это ARMA(p,q) после выполнения операции дифференцирования."
      ],
      "metadata": {
        "id": "V9xgJLLgXXzo"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Автокорреляция"
      ],
      "metadata": {
        "id": "cRTGuOdh7mGH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# generate W_t series\n",
        "sigma = 2\n",
        "mu = 0\n",
        "w_t = norm.rvs(loc=mu, scale=sigma, size=1000)\n",
        "w_t.shape, np.mean(w_t), np.std(w_t)\n",
        "\n",
        "# generate MA(3)\n",
        "\n",
        "def moving_average(x, w):\n",
        "    return np.convolve(x, np.ones(w), 'valid') / w\n",
        "\n",
        "ma_3 = moving_average(w_t,3)\n",
        "\n",
        "#generate AR(1) \n",
        "\n",
        "phi = 0.9\n",
        "\n",
        "ar_1 = np.zeros_like(w_t)\n",
        "print(ar_1.shape)\n",
        "\n",
        "for i in range(1, w_t.size):\n",
        "    ar_1[i] = phi * ar_1[i - 1] + w_t[i]\n",
        "\n",
        "\n",
        "# plot the two\n",
        "plt.rcParams['figure.figsize'] = [12, 10]\n",
        "plt.subplot(311)\n",
        "plt.title(\"White Noise\")\n",
        "plt.plot(w_t)\n",
        "plt.subplot(312)\n",
        "plt.title(\"MA(3)\")\n",
        "plt.plot(ma_3)\n",
        "plt.subplot(313)\n",
        "plt.title(\"AR(1)\")\n",
        "plt.plot(ar_1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 643
        },
        "id": "DEKCXtyx8z5Z",
        "outputId": "fd7c6be0-06d5-4e26-b714-7fd2ddc2ce22"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(1000,)\n"
          ]
        },
        {
          "output_type": "execute_result",
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          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x720 with 3 Axes>"
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            "image/png": 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GGLu+xdcc9xCuRNolD6fgieJhkHsx5eadYLfqj6A/cs7RfWh4xG0I4jbcv7YbADBcDbB4y/4R9xvx+96h5ulzZcL9Ji1m7aU0gyzMxzzXKMpNaL720ONMEoVfP7QRH7t6MZbEmTF4Exlk8T68GhKLy+duAQDs7zcHHvIaEosf3fsUFjQY9DiRIPoMZZATA7n+FzZY8bG7d+TjuV5MNK9bM5DIjRL5UivlD6HFCP/1gxtbonmeaGipgcw5/zbn/ETO+QwAHwHwCOf846285kSAIEroBDARJBZhyPHFG1dg+bbGd5Ybuvsku/VsNpCbpUUdKwiPRh5ZqL6OXb94G97w04ex1hBg1ggGYsbw/LvX4sNXPo7Ne/tHdD4x7pqpQfakV6g55+so2hnkPAayMDbzGkTVIJRtN43LjbujZy6M0+SIZmqQm3Oew12DLBnkUiH1WSOeoW/e9iRe/5OHR72w07N5fbCBpnkTDtZWPgXxjPVnPVwNRiXYdbxvgiZmBNEER8I2JZ+NtsTCD0Ls6auPFdjTV8Y9q3bi8zk0iiYs3LQP77p4Hu5YvgPAyNm2wYo/bqvx6Yv0RJvrRX8s5LBa9Ht7fHMkJxlpRUhd5yryF+8fYeoyWpK4WewMa3LJVsEg042WSZplgyhQk9cg8gOeuVjpOuFmun05MQrqxYKn9+FncbYG8ejLE3xzOlIkEgsv9VkjDPKWOLvS7ctGlqe6XgivxqY9/TjzwkfGbSBXM0EDVpup87fNS2Jc619XAz4qG5TxvpkdNQOZcz6Hc372aF1vPMO00OkMcqujSn94z1M444L6WAGRUaKDMBP1YLNmMI00ovoNP3kYrzj/gRGdo1XQd98TrSiKqDKXJ/VWEHIs7TzQ9Jy7+hNjdbKiNtBx16z30mwGWYAuIKyOa4iNTTXnAuSHPPO8oWbESnarGYs3z9fXTAb8A09147pFnXGbHIMMJBsEk8SiESLm1OcdCQDYO8oGqtjcXT1/C7oODOGBta1PQTqWWN/di1/cHxVm8lgy/zVjM1q1xPsE0kBWr1ENwlHJeDLeA2odgzwGYDkY5FYbVA88Fek6+8v5dZiCzeooFvCbh57Gv1z6WH0X1e5ppDvU8ZzHVh/4Y5lGpxGIYJ48BnLIOT5w+SJ8+IpF0QdNKomsT9rCQByp64/2u2axJOI5NctlKE5jkurk6UtijslbTtsPw8y260aszIOc6+zZELeTl0DWg5vFQj6RJBZnXTIf59+9tiXnNgXpic8aCYYS/W209/hiczdS6c14x1duXokr523GF29YIT+L0ryZjddGYCMVbLIqPxwdBnm8p3F1BnKTMFD2cdmczbk6lRjvigZZN5Bb3DkFE2Qae7aFUhrIJQ+/fmijMdo9C/pZ8y7eExEpBnmMDORH1u/GT2fVX6OnUoeBLO7t6T2RTlX277qvqkLvhqLP9o9wY0TP2yyWRLStkY3tV25eie/+Vc3UkWXs5bmGCNLLyxj6QT4GmWmbH9Nccc+qndYy2eZz5wvSE1eiY6nsh/JvKZ2ZAAby2p29uGZhJxZubn7QYKJBTjPIA3UQIgKjkW7MhGRsqpuyehCEHF+6aYUsvDMe8dcVO/CTWeuV/u8xRgLoRn4N2zwns1joBnIOBnnXoSHM2ziy1LzjPVbHGcgaKn6IB+Ko+Xrw89nr8fPZ6zF7Te3fmoxTfVJvtXsjy4ixGXOipHB7gxILfS2dCAtZo9CDq8ZKYvEf1yzFFfO21P07wTgUcxjIreqruvElmlKP12Pj7r7UeRSJRZM2aXpcwdqdh3Ivylv2DaT02iY9LYN9U5tqT4aBLD7jGhObT4OstsH0iy/euAJn/3aB4RszxOKcNw8ynZ8qfrSQc87JpmJ8L7oUH7uq+WnnRJ+hRYrEM2mEsQvkux7dOayiMciNTDO9Q1XctXInHp8AaTbp/pAhexNaL/wg2kjqaf5kHuSUxCJ9rI5//t1j+Pc/PjGidjkGeYLhNw9vxGevW4YFT9e3sxesVp4dkVgIOvcPyMUhJbGoY+EeKPv49h2rGwpYMw0+fSIaKPvgnEv2YVKDBrJJ5zSaWNJ5YNSMcn2RHu/RujpkkJ5Xe4qwTaQjvWebBrmPGMgVP7Rqnxdu2od3/noeblrSpXxOF4Nm5eKWi3g8eM66ZEFuI5FzntpkZDHIeVyuBYvE4rZl2/GS796HrgODyjX9MNv80VOx1QogqqcIi65vtkFci7Zb9NOQJ98PVQN856+r8fTu5hRtmWgYFn3GEOPSyJw7ZhILkUlHfNBAA8RYnwjeSqWSZJOD9PyQ48NXLMKLv3uf8nmSxUI9Po8GeW9fWTlHI3AG8gTDrjh/6664XGej2LSnD0vjnKE6xEJw8UNP47K5mwGkJRb1LNzXLOzEjU9sw1V1MIUsQ2JBF+CDAxWcdt79uHTOZskgN2og69caTQN54+4+fPDyRfjxzKdG5Xq6Bnmi5edPgvTS3+mGr774jLRksIBuCEoGmUgsvnjjcrz2fx80/v6Z/REru6pLlQLR0zZL+iIlFjm1e0HIlST9+m+ycvrmOb/IYqGPsbtWRhlkNu/tV84TSSzs503c7Or/m7HxEyXna/UaYcLrDDIQzZfi8w3dfbhh8TZ89rrGsu1MdIhCKrSbiPWlEYJASlhGWWPRDKM2lAby+J+AqQfFa7YGOeRYaij8YStGUo8GeSRGriAUx6vO3BnIGkRgw3CDTKPoUu/41Tx84PJFxmOoAfHEM5ERXfXVzliPS15MXPX8RtcSKucjHx4YjNi5W5Z2yXy0HaXGuo0+CEezWpso6y1ShbUa+ruYaFksxAat6Hl4fMt+/PCeteS7bE9A1ly3r7+MLTXyGHcdGMTNS7alPBlCYkAlFvdnRLYLF7Pez5QgryYbyH4Y5tLfnvydWXjPJfMBRJuntOsz+r8pzVsuiQUzp3kT0plSwdMY5DDTha0H84hD9Z80YjBX65y/FAM5vr8gTAz8WkYgNfQODVXl3NAqzF6zC/c+ubOl16AYqghWPblPsWFvyEDm6jtvNQqaPEj2+xq/84MQQ1oQouCZJkIFQVViwUgWi5Gf23b/tlLTeRhkIb+zVbbMAzG/tZmYmHGA8dmqMYQw/urOpRl37q/fugoba7j26ECwBdPUw2yNZPdlWpTopcVCW66GGCyPLM2bjryTdTOYiyzGnHNeV7DAnSt21Ayu0Zs80bJYiP7oecBHrnwcf3qsUxo/+rOysTOmZ/3Gnz2Ct/1ybua1P3D5Qnzr9tVKirKyH8i+apISyeIfw1V849ZV6BuuolQwF6RpjQY5+n814Fjfnc+1L44zSSwys1iMIEhPPIuCx5RFsxrwzD5KGe3+WHJlQiPdXLznvDYMfVYJg5wEGQrW3d7G5PNX/fABvMbigWgWPnf9cvw3yVCgo9nGm+gzdG4XGwk/zH7PJtjKEbcKiTxIeBZqa++HqwFecf4DePdv5snPTv/xQ/heXA2uWRvhRrFs6wHjmk7fBZUYhbz+95QFysbT89rSvPk58iCLNILDlcb7r9jMOQN5gkAYf/WmCmKEN/vqLSvlv0//8UP49DVLlGOpK0XslvXrNZLrtZ75S4xF0yAwuTDLfiCZO5pfs55B3KgGuRkTcxYLcdnczXjZ92fnZpK+fPPKmsE1+nMZrcWlWajKIL3kXQvDRO+raYlF9H+TqjXPpkhoiqkhNFwN5aa1L5ZY0I2hOPRPCzpx67LtuHr+M7LtYiwdGowM6zCkpZjrG+d9w1Wj4VUg5xMb5OcfNSnXOU0Si9DA2onbzVq4Vm8/hBnnzpRBf3oeZJEPtVRgKoNcYyyKQ79+6yr87Xn3J4aw1pRGGGTRjqDGuxCnVhnk+Lek0EmtPnbDE9uaGhNwxdzN+Notqxr+faPeShsOxl4/eos0JqJez51kkHM8Mj8IMePcmfjdI0/XdQ0KMeWIeSXxnNgbsO3AIIaqAbbuT7w3+/rLeGjdbtmuscKyrQfwr5ctwv/cuAI9g+oaQ98F5blCnp1Vpl7QMTNAGF+ZKSOV5i2SLGU9cxGsP1g1M8gru3pqek4kg1wcn6bo+GzVGELuikagq6F9al9/GQ+v36N8T3eKNq1gfQyySIOTH8KgN13HVAJ7uBoatW0jkQ7oshIbmjFRmFLrCdy1IhrEQn/eDOgGsXjOT27vwR3LR7ciVSNIgvSSvioMTX1s6Eam+MVXbl6FlV31pQKMfp82XsOQS62b2KjRBSVhRpP2U1ftpj39eNWPHsCNT2xDyLmckOsZZ3t6h/GK8x8wZgXxSFDchthAbs856QehiUE2tMuQP13HvaujvrxFGMjxO3v9Tx7Ce3+7QAm2UzTIYbYGWRwrnr0M3NKOa2SsJjKJ7OPEqc0aZC7nItE/bU35wV1rsaKBfqlj+8FB+EGIn963HrePYEw3M9VVGHKsjrOnhIbnBGQTE49u2IMPXr5QZRllkF7tlyv6228ebtxATja2qjY96+q1xvFYBumJdWXm6l14/6ULle8UA1ljkEfS4sGKj637k8w49J1TiZpNnknHlQ0d8fw2aMmt/X9//1im5wRI9MvOQJ4gEP1Bf+mccyzfdjDXJFHrEFViYdZJtjzNWwaDrAZ3RM9h2A9kknk6wOoxMFJp3sYJg1wqNsYmZkFvs/j7P65Ziq/esgrdTTTGjdevsfuvBVOaN/G+dAY5i7H71m1PNpw5hHpRQp42kCnE8xUTbcUP5aLghxzbDkSLxew13YqBXM842xZrix98Kq17FmnV/IBjQyydsFWv0sG5SQaSfJc+PoPV0VyV4p3t7i1j9Y5D0lDgAPQsFrQJOqOkXzNhFe2ekv+8dkmucuPCEMo7zlUDOZCfiY9FP8k6na5VrRe7e4fxDz9/VFY+GwlEW2acOxM/vndkQcSb9vZLD0tgIDrEv/f3l7F2ZzoN4f/csAJLOg8qmWJkurEc129G1ggx5Yi+myWPk9clfYIb5AljGaRH271l3wBmnDsT98epZKmHh9oFQTiyANhP/vEJvOUXc+TfdKzTIGcZdKs9nsSrk2EgxwzysGEs5U21OGxISTieMD5bNYYQA0kvRjBrdTfef+lC3LF8h/F39eiAaWeULJdmRDQSXV+XxEK0xfAjPRG/OPdgPGn2khRO9RgY+qHNMpDzTST2SVZsUpo5ieoTjjj1sVPaAGDEQTtdBwat+YD9IMSLvjMLF5LFu97JVrwb6u0QzyfNIKvnpkzIht19+PCV5mBVK6SeN3mIAedSr5ZILFTGBUgm2moQykW6GoToEMG31QBBmBxXzzhLKpSlp03REj8Msf1gZEjn1TcHnKc2Z5lsbsZ3OhOT9kzFxmio5jn1g1AN6vL19mhtsDDIFA+t25OrWpx4T7U2qKJ59Dj6W9HH8xi/I9107++PXOXz6kwHagI1Jq5e8MyIzrVlb7IhUSUWxEAOQpx1yQKcdYkhDaGBrk0KsdR+Zs3Q9Ceen8bIl5BHhA7FSMvTjwSmK/95UScAu8SC5vU+enKp5jU2dPcpm9ElnWrGCipf6jMQXCYNMpC9vrdlMMjrd+WLw0gM5PGZxsIZyBrETruvrAYCPbMvirzfXCMCPw9op7NNBvWwmVmaT/tv6pNYAMlg7iVBUvVMiHr79E2BDbWMmFzVCzMY5DZpVCXfbtrTP6IgiZTEIv77qHiyE3lif//opoZkCGde+Cg+pGVJ2bSnDxfOXi8Xw2se60yuX+e9iAmSSiyqFga5VhaLeisuJsYmYZBDEnwUf26SWCSZK3jCIAcJYzxcDcA5l++8ng2euL7JQBaPyQ+43BzlDQwKOU+No4RBTj5n2ncm1DKQxXvVZR3VgFs1q6KNynmk2z19LxR5mCTRxtr70zSrVZEBfolBITSWWfPhSJ1SIwmM1jerw9XsIi31wFZGnfaDqs/R3ZvtwaLrT10a5CZ44QqaxEIg6/J6bnN9k5TXm9MKmN6t2LDT9ZWSEZH+N/p3Hnb1XRfPwz9eNMf6fTXgss8OGLwDqcxE8fPKWt87pAY5Pcbzpn4T162VA32s4AxkDaLD9g6p7Byrof9Tdn81rkF3c0WPgXM+olLTLGWS5PlNBJOBoEgsFNdc9EUfYddNE883b1tl1Nnq88SD63bncr/XehR5jEDNAbgAACAASURBVJysZPNCYiEWkfXdvXjHr+bKHNWNQGf5xCQp3Z8hx9qdh/CL+zfg3NufbOgaT2kp675000pcOmczNomSz4YgtrzI0iDrOZ5bpe+jizqVWAgo9xcfapJY0JRFw9VQ0yDnXzjFxsCUxcUjQXq21Ek2hGHamBb9hQO4e9VOJad61sZNX0z1dyMXPi0wkDKwpt+lGGQp1dDbrR6nV5Q0QRb7yPm8TGneouwM+a/ZrB7biGGr32a0aWtOe+i8EypGI5dj+bZlXanfpc6jbE4Fy1j7+s2QBoounEgs1HaYoG8M9MDH8VYoRMwhNgM55Mnzbob8wA+4rF9AveMmbxQ1zrM2PEkWi7QxnH/uy++dGAs4A1mD6LC6+7rWBod+X2vS1Blkk9SgoYmmnp/I8p2GAWJxtYqFjBoqpoFwy9Lt+Kohqlt/LpwDj2gBjCbU8zxrnsvwGXXLA8Ce3qhC0KLNjZcn1Zv0o3uewobuPumZCEKOe5/cBQA4+TlTG74OxZS2IoBEK6unDaoH4lls3pN4TGjOWdOxEiMkAxhhYwVMaYfoxlD02RIJepUSi5DLcw1VAwQhl8fV43oVbKiZQU48QfUWJ8jKYgEO/M+NK5Sc6l++eaXV65A2kLWNd3y/YajeO9XwAumFUR+D+Rnk2s8gjzuXXsvGIKc3pVnnGtmCPKLUmtp9DlWDphkI1IhU3mfAMTk2kC55ZJP19+K26IYtea6125j1DnsGK4pHwfYO9CqQSdBulkdA3QzoDPJ4y4MsDWQlSC/5PiQSi2bID6phKA1kKrEw9TtF2pbxzGUWC0Me5Lxrsi8N5FyHjzqcgUwwXA2wM66gZ+sYzahHTzvl3I17ccr3ZqeOef+lC3OXjs6bSF35Tfx/U4SyLfpZTDqUQaw1EMp+gF8/uBHD1cA4CIYsKWIoOvcPYsa5M7FiW7oSEJBv8ssKeippEotJbYW4bSPJZJI2KD7xh8UKgyxkFsLd1ui5BZ47rQMA0Blr0fQJtx6IZ0En0yToTXfb6xKLkU3opiwWIljUBnF/iaEaEtd9qGzuOG9MgyyYyXbD+1IkFgZDrlbbU+7kxD6WoO/zukVbjeeqJbGgRTl0La/COGobB/1ebPemf5wnn7wwEmrGGoi2mRjkIB2Uuv3gEB61bMBbQVjlNbr1+4y8Gs1pg4n5BaKxJOa1PKD9UbJ8OWxMm0s+DDle/aMH8dWbI+Jk4eZ9OOnbs/Dk9vRGryA3ryqDnDXPKwxykM5rn8Ug95f9XMGkzYSot1CxBOnRPtIMBjkIuHz/SpCeoeMpcpysID2hQTaM8byeObH5alZF02ajpQYyY+wFjLFHGWNPMcbWMsa+1MrrjRSfvnYJ5sdBF6nAIzRghRKIEq+AuvhsP2gvaZ0300Ej5oiuQVYmVp5egIAk3yENgNAnRL2jX7uwE795+Gn88bFnlEUpcXHXbus9q3bG/99l/D7PbjVxWaePLWmp9kTmhnrTL922bDtuWxZJS0wD3g+5NJD9kCcp9HJG/ArYJpPjprYDiCLZAT2vZl2XMC5GIi1fOp918ncz88vS81ZMKQEViYXaj6sBlxp3n+iRh2O2rpEsFsLYM1WSNLkk85475CRYJuS4cPZ6Y8pB+j5trk894X6qQie5jp4Hmb46ve1pDXIcvKs3QPsgzxiqWjwTAv1lH+ffvVZqJ2mZa1pq2vTzc7Qc9EkzR8ggG4J+8y7y+nHDTWSQbRKLIOSYnMNAZhp7S8+Z55nZ+qWI3REZYMT/l3QexLsvnoev3JzUDtALhQhkGWv0vqthmCI3srw5H796caZ+Ny/29ZfxH9csSeU6Nr3aSaUCug4MYs3ORCana5DFnNYUiUUYyvPQ9YY+UjF3K56ljI1FKUNikdczp8/b4w2tZpB9AF/jnJ8K4A0AvsAYO7XF12wYj21KXOopVqyGfVyLNfvSTckEkLcz6Fq6/rKPaxd2Wo2QPMbJXSt3YFVXT4pBVgKiyGnoDnfQyCCrbdQnJpF5YLgaKhOsWMjz6A5FVoDnHdVh/D7PYMzDIOu5H00Mcta7+8virbjpiW3K9Sj6y74SNSyLsFRDnH/3Wsw4d2bN+6Dt0yGeryin7XnqhJsXvcNV/PLBjanPpX5VW2sUxoEEgzQKk8TCtMApQXoaE1EhDHLFpxrkyJMxoiwWsWtxoOyn9Jm/Je7rvG5daqwu33YQl87ZjGsWdgLQgvQMGUV06M8+ZWQQY1QJ4gp1BtnMaAvI32qfj0RiYXsXNyzeimsWdspzieOpEVcrj7OOeu3Rzn0D+Pz1y0iOZfMGOA/044aaqEEW/ZExdQ6qBhyTYgmW6XgBOfaUHOTx/3O00fYOl22NvH+vOHFa3J7opKUCw/ruPvx1RUIgiXmrovWLLFZS36ikJBYZvxVypZFu7q+avwWPrN+DG+I1QLbN0Fc6SgWceeGj+H5c6U8HLRRSakKO4GrAkyBfCxkmyYXQvr4riH9qymKRP2VjfcePNlpqIHPOd3HOl8f/7gOwDsDzW3nNZiGtd4xgG0T1GAV5J1KaLaLrwCDOvmQ+zrt7LR4w5GGN2lb7nF+6aSXe9/vH5N9J3ko1IErAKLHw7RpkXY8kJgemtU8USMlTaGRHT8Sy25KJ59F6BpohQyFzUftJUBeQDkYDsieMgbIvWQ5TP6HP0g+5fI5lP5AGUR7Y7ld8vnF3xNZQRqKeyX+jpVRyleg9KWh/LvtBLo9G1saIpkyT1zYZyEreUJXdrvqhXGAHKwEJ2Iu0qo1ksaBp3g4NVXHaeffjkrhimD7BFz0WBdrkOD/VIOuuYNuvjYw60nNA2RL8G3CubECGKr7y23SQnvmdp4L0tPYIg3Igozx1LQZZN+ySZ6VqJeur6pn7UADAd+9cjfvWdGNpnD4rMNw/9bbtOjSEGefOxBISXCmvrV283EwNsjCqCl4uBtk2/+o5yIG8WSzMBwkJg6guKTwbJnZUL5MuSZwMIkQJOK1TYlGr7Xkh7kn34piem+l961l7RN+iuegbhV4UKLlO+nM9NqHWOU1zc95nGYTZY3+sMWoaZMbYDACvAbBY+/yzjLGljLGle/fuHa3m1EQ6t2v0/zyThG2yq9edcIjkG377L+eiMy6juaevnNnWPJCFQoL0oOgZrOB9v1uADd19qsQiNpDp5cS1P3j5QtyweFtmXXa6QNbD4O3sidzNtvymec4hJRaGd9MWZ7HQGSoTg5w1SQ+UA6sRqSMMVQZZ4Bu3rsKHrsjOG2xrg54RRHfZ5YUpSwOQLDL6ueh1bYzhpj39ysYqq8+a3LymQFYGRiLcEbdNtJUwyCRgD4j6QCNZLGiaN+EyfnhdpHHVx3w9Eo6QR8dxznO7/m2bpFR6QT19pAzSUzXI/eVAubatcIn+fZ4gvT29wzjtvPtxpaECIZA8I5uxNkUz7MTxyoYzqK80b70GqRij4r2aug1NWzl/YyTVu1FjE4H0fTYzSE8Gq3pMOWc1CI0Gsu26Z/92AdZ3R56oeirp2eYZaXyFKgmhG5NAOs2bLw2xDGNN2wzoc3ceb06jBY3k74P8VeGMEjwt77s4hNrHjbLc1cCcXYc2wxRcbJq/Nu3pR3/ZT4qMGJqUW24kz3EYG8iMsakAbgfwZc65kpuKc34l5/x0zvnp06dPH43m5IItYj7Pa7QNNCFmb8RApgYCLdRBz1dPF5OlpsWgIDP+Pat2YdX2Q7hi7mbF4MmSHCzpPIjv/HV1qi676PeMqZOYlFjkGBhi4RGSEz8IlVyOeXJvmhbfih/i949ukm0UBpwM6NIM8uFqgNPOu996jb7hqmxLrfvyQ04q0yXXuXXZdjzxTJp10n9rgr6ANJrmTe+f0yaV4vPHxr9FjwpEz8jkTXnHr+biu39N3IlZzyeR/6jSjSzIyT/+P5VYVINQDTriie48jwG7v7+MFdsOyrHAGMOueNN2QhwYqT+zejaAysZZO5w+JvpY7Qay+rc+NmiaN726luKSr1G4RDxP/e5MTDMttWsC1UWboEvN6Dum56hnka2XsRLXkhsrA6tK+6iYKyeRzeb9a7uxcXdf6j77y+YAZlN2ABs69w2gc9+APHex4CnnDEKutEVAnzppH7s3jvlINMi1YRtPUvrkq++uaMjQkFTSU/tFtsQiua4fNsYgZxnId63cgRnnzsShQXvgvI0VN3VLU3tUmWO0YWZMlW8a2egcfdknMi4loFF7bnrb9HFS9gO841dz8eWbViTByCY2PG+RJElsHKYGMmOshMg4/gvn/I5WX69ZSBU/qMEgU6PANhiFUdeIgUzRq2W3sKVc0kHvSc8tSTv0U3HgwCnPPUIx3kwTSEpPZ2F5GZhyrDBQ8jwLXRP8lVtWKYZqXpYOUJ/RNQufwS/u34CblkR5QQVLJN6fHjx3UAu+oOCcY6ASJKV8azQpDLm8Xh6dJoVtQ6CzrJ5iINdhPGjHirRmtny1NBAsCLlVj//Ypn3KcbVAx5GpqEy0eKhtDojuuEq8I7o7vh4D9v2XLcS/XLpQ9n/OOXbF2W6eF7uM9ccrDKk8BQrEu9HLPQP2wKi8DHJKsiEWtVAtTjJAGCEgvcDp7zyZc1INTkF4Mmx9MGEXzd/rG3P6jpNz1JcJot6qmeJaBWaft+g5RZpQapT+13XL8M5fz0vd56HBSuo53rliB079wf3YuDtfRbK3XjQHb71ojmxXqeDJd8bjzVAeiYVJ515PrlobU6szx1kMsng8tFQ8UCNIL6T/TmuQ87zvrMquV82PvB9dcTwMBeccl83ZLL9LSSyM7TWspVTWEka5iD06ycGSli3HHOMHodGDrchwDBUt9b4qKjWu29WX8soGIceDT+0G5+m0lTYc1hILFo22PwBYxzn/VSuv1WzUn+Yt6cU2g0cYyHmrDVkNZK2ISdLJss9rEtOLCVIxkOMgr6kdxZpuJ31C1CcmcdbrHu/EM6QMarEOA0U8r6GKj637B2RWi6QN+Vk6+v70cuJlP1QKTOhzUSFDC1b2QwQht7KsOiiDXG+2DNv9Vv1QWZAbzYOsvxMhuUjK+upGWD6m1xQZbwQzndcksSDGl3TTQ7aRahj1dkkNco6+szWWNon3FPJE9iPYdf2ZifPnqTQpmZjQUHLaMvxszzltyNoNaYVBrvgaC2dmbeXfFq+VaTjrMhgdun5c4OBABTPOnYkr56kFe6TEQtv01ON+rndBFnO67hKmZ6F9dG8sgzMZ/fq1e4aqqef2cJyebp1WDKgWaO5c3aVuCtLLeg76PderQabvQzyaJM4j+o4Z3E16yXCxruVN8+aHIYY0r0MeEiVrrRN911TxbdOefvx89nosjPPm60F1pn5pMvaVwEgevUuP6URHfGwQYk/fsLHdpusFhEG2aZBNtoD+zDfE8Skvfs7UVP/686JOfObPS3H3qp25Youi34o25zp81NFqBvlNAD4B4G2MsZXxf+9p8TWbgrQGOZ3Wx4aKJW3XQDmRWLzqBUfhb46dnHkem4F8cKCiSQxq77AB1RDT07zRXWg/YbprGsgpd6HmFowf2L7+ihJcWKpHYhEP2GsXbcVbfjHH8H1+lo5eTr9y2Q/w0u/dh281UNlO3LdkXWrcV8CJBrlOBjkrSO+IjmQRVLI8hFFQ4P7+cvqHettCsXhFf9dkkLXFyRawqgSCZvRVGaRXS4PMEg3yL+7fgG/cukqeV6mkR/IgCyQa4fzPviwZZMjFSbInFg1yLXaH86TAhW8Yb/S8qpcqfd7Za7px7h2rlc+i0temBTO590mlAvqH1SA9feOQ+tvy/kz9vjaDbGaRBCO3u1ftswF5xwKDlcBIANhQT4EYIEnxp6fFtFUfFCk6dW8fkH4OPYPV1GdCeVCvNlO0q0gMZPGudC03kD0Ok/Gevy1KZhTFVW9mkOn445rBdWCgorQ/d6GQIK1Bts2ZczcmcU9Z87C4d9Pcps9NJY1IMbXaZOz7GoEQ8jjOAmmi44f3PIUzLngY/WU/tVm2yTfEc7171U4sjL15ugwn+r2dQV694xAA4IXHTCYb++j/YpxuPzhk3Sjp0KVx4w2tzmKxgHPOOOev5Jy/Ov5vViuvORLQijUjofxtrpr+cpIDd/rUNjzniPbM89gM5Nlru3Haefej7AcYrgYk0C57MabsbirNm2lQBbUNZD16/LPXLVO+tz3FNimxyDx9LuR5VybGSx+TYlK1LbRZto70DpBKZZntCRo3kG33Ww24aiArWSyA/3f9cvzdjx+qeX6ZfzMOlmkXSe0t7DiVP7z74vmYt9EcbOtnTLwUot1U0mLqh3QZWtHVgxVdPYk+VfME6L8XG7QdB4dyFwkYkgxystgk7Jp6P3klRCI4Txyrzx3UKKELpWnB/9z1y1Kf+WG6whwQvWPRtqMml2KJBf2den69XbYgPdPd1sqCEOTwTCjHk3cs8MUbV8gKknmQxy1NoVeRrFVgYW+8EdW9ffQcAhGDnHx254oduHPlzvjYuppJKkp68rfiueaSWJB/0yqFQP0M8rAhKJemXgRUfbmYB8WzEAZyriwWmpZWL1Bj++0n//iE/HejQXr6c0nJpEwaXVP/0TYLUoOsBOlF/7/3yah/DFeDVLtNsUIh2Yjv7SvjY1dHuRJoX/zc9cvwyT8+YdUg7+8v44bFUdCpx+i4jv4vSIGKH0oZFG2zCfqGc7zBVdIjoC50OpBfcd79+OOCZ2r8mrBdtiC9SsLMFjwm04vZYNPzCrztorl4zY8ezLXDBtSBI7NYxL8pG1hv04Ktg4r/6wEt71xPeiYT8gRgiEvQyUqXy+iSCx1Zu1xRACRvVbAozVtjEgvb/Vb8EEd0lOTfBS0P8sM5ynoDyX2KABpROc6Wr1Y3pnZaCtxQpjnPO790TuJat/UxYTQOVQKU/UAxXGkqNL3ak+h/lzyyyVgkYM2OQ6mFTVS2pBo7W5CJZKhr9E1aQtsPQoO71Py7PH1enNO0+NA0b9MmlZSodL3dnKeDnmz3ZXqvYm6xphSzGJ22exQGtcmAzluWV38mteQZMsMNCXIE7BIL8W89oNp07UiDnPz9ZVI0o14GmW5uk8IPsacgRx5kCn0uy5Nhhcr8aHYe6dnR3h1dkwTJIG55f4pBziexMGWxaESD3LlvAL975GllvJv6vf6K0kHMZvIp67MgjJ62R7xkAM00kYwZ/d5M1Sv9kBvlXrTfr9jWg7kb91qJjM79g/K5Rgy3ShIIT2MlCJXfiZz/JsLPJq8aL3AGMgEdf0HIsa+/jL39ZfSVfZmL1zaR2lKnUFDpQtHzjBG8FLUMpx09QxiqBqnB+7P71uP1P0kzhVkGsskYpzIAG4IwtLhVo//b+r0wUH714Eb8z00rMq9RC7kyBRgWNL1tfQYDWXmv2nXodykGucaAD3liIOdlkIcqgaJT1SXRFV1iYQnuqPW8pJs2voCoHGfLV1upw1iT18h4PkY3pswgQQ+EpLwGK35Uspe4vunCoffvrFRMizbvx9m/XYBrtdzUPXEEe8iT52lLdVTKyLNM+1GVBJfRTZMR5N7zsl22DSztR0eaDGTym7IfpozVetLjCUPJNiZ0Nl7AZtSY0rwJ2FIU6kjfTz4DOVU0g/zMxLyZJBb6feoMMkW95IF4ZMUCIznuo/9TBrlkyUPPDH1M9vEcr5waeV0HB2VGHp1BloHQFWogqxupAwPl+Lp241RAkQeFoaFQSO3nqPend108Dxc9sFGRwJg8D/q709+Z6R2ajP1qEOKjZ7wQLz/hSJlD3dOyWIhrCWO+apgzjAyyxZNk+owSGXScU3sk8hwn/waSuIuKH6bsoU9fuwSv+uEDWLvzENbEMg36W8cgj2PcsrQLq7p6ZKd73Yyj4Yccp//4Ifzzbxcox9reYx5XGNUgFzxWs4RkXmZR32FfPndzSrfXM1jB+y9dKP8Wg+6yuZsxXA2sKdxqB+mZI1aLNe6Nbg7ufdKc/ikvarlLh6sBbo9LQNMFTW91n66fRroYge27gYqqQc7qDwWPxXrT+tL+vfwHs/H1W1fJxUUPGqwGoRJBbQvSq8WmJIE+scSiKIL0zAZy7opx5GdZ92zaNiaVtzzlOFkdikfMCa2oR+9TH0tZBnJX7KpfvUMNkBKSD44k24SNAZEGsuHZKO9CkafMw1WWXME68mZh8AMzc0SD9I6aFEks6ID42i2rcDBm8FJxBbBvcEyGnnC12/ZEpvRTou1Z19CLoAD5DeQgVD1XtQyoisYgJ0G/CdRiS9H/czHIQ1XrvdarzZyzMfIS0TRvNLOFmBKE9zI9DpPRl5JY5GKQk2Pef+lCmdNd17caGeSKWkr8wEBFZuAAst9RTQY5x4ZS0d4GoTQ8+8uJPt/0nlK5x1MetvRvTIRUuRqiVGCRfCGMNcg6gxyqba36aa+TLduUcbNueKQKg6wUE9IMZE06JTZdtHJpdA2O+U9HmuezLlmAs4lNlQS9jrySYSvgDGQA37r9Sdy5Mip1+d33vBxnviTJxyzcPLWQx0UgJBZ+KCQW2QxyXmYxifK1t0EvLiIG3db9g3jZ92fLCFwKP+A1A/8Cy8CTlQctk2rBY9ZgrnpRy419wcx1Ul5Aj9RfmUliQe/N5DrjnOOWpV04MFBVPssa7KUCi9K8+WGKBU7aZmYh/rpiBwmiMxjIxPCz5UGuKZuJn2cisVA1yOmcuPVPbFl7GlNku9gU0AAYffEYJswFzWIBpHXlbRneG1HqNpVVgTDIOvMRco4ZJOjWVKnvM39eisvmbLa+i95hH1ty6qHzypqqYWhkq4JQ1yCruXiHqoEsm20cF1bjNf2ZKDevP0/OOb500wrpetUNC9v8J9lIw/emXL8miIqKSbvzPc8g5Fi+7SDOuWZJ6ru1OxNmTIxXk1dKfx2c2+NN6iXWVmzrgceiID8xh4hxUCwka44Y21njMKW7ztEW23ohGfWhKv7xojlYH2dDoIasWB8TI5Cjr+wbg8dS59e8H8PVQM5bUbuSe9nTa5aAUcOSrpcDlcS7YmqDfsu2jC8UgiyjGPYDFD0PBS9i/zmEBjlNdEiD3RCAbJrf9Vih6BzmdUov4S5AZWrROqfeXxshUmzlrE3tSo6zHjZmcAYyIleyWAQ62gqZ6bxq6eiyICbL1jHI9jbQBc1jaZbOVOUq0imGmYuObxh4J0+fgopF+yhQYEzmFDWhHtdiLXevyFkLZGuQTSw6XYRTKbSCELPXdOObtz2Jn85al/wmyC5a0Fbw4IdhLIkoGY9JBSwZyi6Lbnrtwk4s2rwf1YCnGFaBd/56nvGeKO5f242fzlon2y5YpnZNT6u3rZbBbUKWntDUK8TiVdI2AExjvKgr11S4QSCLQRaPMCUlIS5n6uq8dmEnhquhMm+YNMgPPrUbP5+9Hpv29MvPTOXM8yAPIybuwahBDlUNciUIU3EI4nZMDLJtrjEtuMMkuJGiEoS4a2WSsjFtICftoVOyzGJhZJDN79Ukj9JZxzzwQ46/PJ5UxxOBVADwk1nrpaEr7lXPpQ6oa4hor22ub4RVK3gMHmOpTVwx/hzIV6iJpjWM2lL72ra5WLTh4GBVCYodMkgsQs7lWDo4ULFmOaHQs1gMV1W5mejrv33kaZzxk4exs2codY6yzUAu+3KlMBvIZjJDwNRu05iK5m8GxljMqMYa5IxrVfx0nJCJQTYRWf1k86G2w6xBFnKYoscUyYZok5g30wxy6hJKu0z/Hi9wBjKiTig67ORSIZPZFe6Hn85ah9f86AH5eR6DTujR/DBE0WM5NMj5F0Ege4dNDYRSwTMLPVPnDeEH3LroiGvrm4Z3nHo8OI8kAbZJ1fOYZOpMqEe0XytgiZ4qi0E2Va5SJBbaD3b0DMmANOpp8MPszUFb0UPZD43ZFQR+Oms9bhOyEKiG1vY4/ZXYYJx391p89KrHUfFDxUA25eyM7snctq/cvBJXzNuCtXGhGOEyKxU8eCxDYlFnRgDA/H5//+gmLDJ4MqI2xyyYFtiq36JYcPXiILoBUitA1tZGAABPvrth8Tacd/daLNt6UHn2SaW+9LN5zyXz5b/r2lyQ5uTNwuAHNtdqokE+anIbgDTbWYjvoZY2Xz1v+jNhJOpN1s+h/03f2bFTk4w/YizUo0HWn4EevJi3C4chT/U5ul7oedBNY40akUK+ZGPLGzEaGKK5NUnzJhhkT7ZVFsrJ0CAv6TyI7kPDJItF7baYPAsfu+pxo0EIqO+YZokRKelMMTZAtJY+RNKG0mEUhCGGqgGmtBMDOfbsCU3002STKkDH4l7FQE5KgZvuL9WPdQbZ8NwGLFUSiwWGgpRYpLNY6N3hv29Yjt0aI27qcybbINJWp9tA5yzaV8X7mdpRjIgxzUAWlyjrY4ubqzjS3+r/Hi9wBjKiCW4gXljbS16mflYMkCvmbZEuVyDfRCZS/gQhMrNYnPfeU/HRM15gzCxhbJPGFJhAd+qlgmepdZY+rx9mM8hVbTAUPCaLJ2TplwvMVm8tQj3aO9N9r+rqwft+/xiGKoHVKNYnfFN6t2rGDvesSxbgf+99Kv0bn2eyLW0FT74P22bsTwufUQok0IlZtFM3gPf2l9FWTD6zG8jm9/J3f3M0gIhJBhIduccib4eUWOjstl//xGZqwi/u34CPXvW4UdaUVN4iEguk2WYqY6JGx2AlUPpx1uZ0uEZQWci50aCi5xTuxn+5dCF+/eBG67X29+eTcOntyWs46eMz+X0yb4jx2qcFlIm+aWaQkwfAOcdXb16JZVsPWBjkUB6nniPbkKBz1rFT2uS/JXtvMpCLtRdice0s+ZQN1LUMRHsW6jkQ4zTrdLTvC/LBNlc2YiBz8DgNV9JmIGaQUxILzUDWzvWRKxfJcZ+nJab2Lty8H4tjw1QHJW6EsRyEwKTYQC5Xk/5LN4Vfvmkl/vPPS7GzZwg3L9mGLXsTg9cPo0p6k7WsHdWAy9Sqe/vS+eArfoj9/WXM3bhXjhplaAAAIABJREFU5jkH4iqToTi3Qd9bo+qkKQZgwLJhKMQSi6jUdJpB5pzLHNsAsGXfAC66f0PqPkz3puPQUNWSrlBl4wWkgdxejL1o8f1J+yOU11LyIIdQNisUeuaO8QZnICNiM0VqlKLnZTPIFpZDn2DphC6QaO0iBtmWkmhSqYCOUiG3+zXJg2zvYJQdjdw4+c7rhxwdhvyZAt+47UllYZ3aXlQCxWwLj+dlT7j1kJImg+/JHYewqqsHu3uHrbIK/V0aDWRFYpGzPZbMHgKloiev9YW3vRjHH5nOh805sHF3v5SH0MVBTHY6A68zyLY22FhLEeU+qBnvnhdtqoQhnCX/yIt6J0PRZlVike7EA+QdDlUCabwMVQIcOcmcIxqIFqzz7lqD/rJPKnjZWVJTvy54aQYZAH7z8NPW+/roVY9bv9NBr0jzJ2fBHpyTBO8JA7lXZ5Dj+9ENZ0B9Nr3DPu5YsQOf+tMS45jWXfWybTUMi2Ey9qaTnPF62WIK21xlCpzK695Vsq+kdJyqN8LmZbG1pRaDbHvFy7YewD/9Zr5x8yIMKz37Q9Fjcjy0WRhkiu+d9XJ07h+0BqJSDFcDbNzdV3fKT7oJKpONlNjMUqkefW7CIB6sBPjW7atxNUnDGoSRBvkIzSjzwxDPObIDABQDWKDih/j4H57AJ//4BHb1JN/TDC+mjD36/FeLURbnNKHkRRILEQTnaRrkWat34Q0/fVj5TY+mX68E6XXMNOebCtQAdqNVvKspbUUEZP7RN2LRppwGrHJMbbeMS7rpdwzy+ETRY7ID0UnEBH0HKaKU9cn92KlpAzmRWHAUMtK8eR5DR6lg1K9ltSnLUKE79YJXm0FuL3oIeFSi15RgngZAbCElpKe2F5XvbEa7x1imhZyqTJbF6pt2wX4SJU2/pqdNVS2rocfKO4CrQZh5bKngyfcxbVIJHz3jhdZj52+Mon/pc9Q1yPq5BWyLlY1BFs9D/F/0z4hBZkkEv3ZveTMqUNTrTquS8SlwYKCiGMQAMEgWnsGKj8nxQjusuVx1/fvjW/bj2kVbsXzrQeLqtWsOTcYpDSBs1zTOzWBH6DPjPF/cg68tVrQ9aQZZXbRLWQwyTecVZ/0oELc+RdmiQdbnUtGeix/aiJO+PVMxnk6Y1oHLP/53KHqJttZkVHZYtOWmIiS6G9gGev+mZ64wyDmMSfpdmxYAq0OfR/b3l/HByxfiW7evxrpdvXgsrohGIVhtvZIeDdKTEgudQSbD4shJanxE1pD96i0r8c5fz7MGG9pAN0FSisO5lMqUqwkbSedr4R0zZmyIK+lN0YyyasBxZKxL3tNrYpADbNoTBQ/u7BmS8+tgJSBZLGozyPqSZxr7NvlkoRDF5nAuDE+VQV669WDqNz3Ek/39O9fg0fXpQk2msTJcDVJtBdRxKZ797cu2y41+wUsMeIBKLJL3pHtnbAyyEsznGOTxiYLH5O61UMjOLqHre8SEoE+cR082GMgkWrvg2XWQBcbQUSxEkdY5Oo3o/HkkFq8/6ZhcxklHqRAH8pglFpNoTk2yKB3RUVQkKn+wFFgpeCwzbZDexucYWFYB06QlFpzBSpAyLOQxuVL/1O8C8gOeYssoSkRi0VbwMNUyeQDA3Kf3xu1IM8iRjEA1EGkbbdpgmyRCPLNks6hKLOxp3uqf2OplmkSbawW2UoN5oBJIRnGwEmgp8NTfiaCcahBKxvPBp3bjJd+9L3UNzs19gRpKejsbrdJFoV8yT5abWnmQCx7D1Nho0JnivBpkkbbJixd2HcIIqpX9RCyQFz/0NDhXA9yKBQ/v/tvnYvoR7YkGuY40byMJ0qP3n8oEAK6sF2IuMmmV5THkHKJPmoo70Hb94K41+PYdT+KmJV1Y0nlQBnqu2NaT+k2kXWUJs0fGs2Aj9SwWnHNs269WItQ3ebZ142f3rces1d2Z92HDEPFsJhKLxECuBIkGuRKE2NEzhJ7BitSCGFMQhjylQQbEpij6t1FiQfrTnr4yTjw6ykrz1xU70B3rfM0FPtR+mCdIz4YCY/A8sTESDHLyvclrRnHd41tx3eNbU5+bU7+ZPZ30WHFvfybnLBZiAzk+TGf4K346i4XNQFYY5HFoINtX5sMIHksY5AJjmRpkUw5LID15HGOQWPQOVWVVqsi1Zp5MCh6T5X3LfpDJngKJ8asb7zyeKIHEbX7CtA6s26XmdzUhYgy5MlkB0aRZ9sNY6xfdOx1QU9uLubJvFMgELuAHIWat6cbZrzghNck898gObD+YjjwGzIZCUso03Za+4SqO6CjlCpBSc5vmG8CVILs6YFvRk0EabUXPOnm8+gVHyaTqSuGGuE19wz5O+d5s5TcHiH7XpH0T7RO4ZWkXug4M4mvvPEUaoeLZiX4nMq7c+EQX2osF2TcFdlkq52Wh3snQlAfZBColqvih9H4MVQNMLySbLF2fLQJdqkG6yIAOzrmReaFt08dsvcya7boU5WqQubkC4iC9jDzIBY/Jc+gSC1FqvL/so1Rg1vRPAh6rxSCrn9dyRStxE7ERKlJgAeaNni1eIl2EhEMNRkq+/8iVi/C3z5uG7519KgC12Icf8tTGnhotssIZj9pikm3RuaFUg0HmnGPdrl78eVFkoHzjXaco32/c3Wf4jVoKWNEgx03Vg/RuX74DX791lXKedoueW8flc2tXvLSBMqmJVj15jzqD/KafPYIjOopSS2yS/4g0b/rYiHL2x3OnwbCu+GHM13L0l/2I7PEYVnYlmxDdS/v565eljPQ8ad5sEBlIhqsBFmzaF89TatxFI+gyrJ2VIJ2BClClhrqXCYjGuSlIT76nQNMgc8igSx3KJtVJLMYnih5L3Mo18hM/sn4PVm9P8l3acngebdEgD1ejyllTNaaVgrHEVThcDWsyRYJp0XeytL8Jt/GRk0px5848ZeSiCzmqYZgykAE1nRI1kNuKXs2SzYB5J/yXxdvwPzeuwG3Ltqee5/GxdswE0/ORieiJewyIMk+84vwHsLKrJxerd9X8LXISqY9BzjCQCwnT9ryjJlmzhJx03BTp2fANDLIJ1EC25SSlRv8tS7pwx/IoB7gwvHWJBWOJpvaahZ1Ww7se1CuxkBrkGplfdINELLRDlUCRNOn6bVFYp+yHxnR/FCE3R/QrDLLGvum6wUagP7OyH2JnzxDmbNhj1SPbMqoEYaRBLhEDWTc2xBAdrgap4Dczg252w9uCHnVmWrcRqeEhDDoqsagEQSqffP40b2GqcqrA41sOKJpW2k5drsI5pNseSLw2ATdL0/RrCcPfHqQHbN1vz41tM0gLZLOS5DX3pMO+TZNYrOpKM9H6RjjPmK3XU2LKNBNyLj2UVIMszt037Mv1Y9sBlfUW5xyuhkYGWcyJJuKkEnBpgQ6UfSN5oW8271vTLYtgCND3u+DpfUa22gaPRQby2p296DowhO7e4abUCzC9Xz8wM8h0Dg0MBnIxlu/oFRbpe9LlS7qtw3mUj7qRTDKjCWcgIw7Si43MQg0NMgB84o+L5b9tBrIpSG+gEqBnKDJgprYXrWxYIdYgA9FArjXp2IKK6I5sqBLAY8DktiL8wKyhpAOx6HmRezZQU7S0x/+mRnNZN5AtAQgU0WKqtkH8bvO+/tRuMstAzoraHaoGRinHsq0Hc03m9z65C0/FjHstjZR4ftUgzNyACN0hY8DLnnsE2grmhXRKewGVIKqU9NP71svPszS/+wcq+NM5rwNgN+jF7znn2LS3X/ZhKt0AEoOvwNSc3c3Y6dcdpCfyINdikLUE/JPJQlvSJBbUsEkY5HQVLh0cZukTNd5reX0agb6AlP0oB/MX/rLcuom26agDwiBPkQaybrAmG8OCtjExyXcKFomF1HTH59u0px8LN+1T0t0xljY+6UZbZlSJq1ACIihVna8LBtnal29agSWdqnbT1xnkjD6tGsg8FTvBkRgQgkHmnFvlHvRaYtNmNZA5VwwWWwEhHYwx2V/6y9H4VjdwscSCC+M5vebpEos8wz5vcSsBOteIjVRAgvRoFgvKsotb+eE96SxCYh1JGbdEVmPzOoqnMFD2jfK3PPEWMqgx5Pj4HxbjjhU7av5GwGR/1DBHAAD/9np7HIsNF87eoLDjAlT2QqttyvZ4TJERiv5Mg/T0PMh6P719+Q6c8ZOHZUpRep7xBCexQJzmrZywZrUq3NHF8dBQFXM27EmlsTFpkAHIBOVT24uylKuOAkskFsPVoKbBLiYWfdDT3eFgnPamVGBxloX0eaa0FeXk4nnRfepBeoKhoZM/ndxLBQ+vjdOFZSHSIKsQz+zgQCU1GR93hPl5AubJTnymM8i0zXlz0MpNUI0BfGRHCYeGqjUXCWGonXTsFExpL1qLVrQVCqj4Ie5cuQOPxJUARdtt+NDpJ+IfT3kOPvXGGbhj+XbjMWKS3z9QkQEefpCuyFQiRomSHaMJWjFTVacs5JVY6PlFaaonasB6jOHJ89+F25Ztx9dvXaVILGpJhEJuzvdLYwqyCpE0ijSDHKCv7KMShEZXvoAeENRR8hDGGuRiwZPuT51Bpukj9TnRtEFgmsRCBPOI58k50LlvAO/41dwUK9ZRLBgLGQiId1f0mPRgVPwwLrqjslU67ly5E3eSgiQAcMeKHYrhEoYRaXDBzHX6z5XnorcxCqbipDBMotO3MciKxEJokG1VA4NQ0dXrU5YtzkBILIYqAT53/fL4Wkn2ItFXRVtMG7q8GmSKehlk8bwmlwpKcKwM0jMwyIAeuqZC9Bs9c0I1CCUDbNJKV/xQPp+BSoC2opd6h7Vy7gPJ2BjMITU8500zcNzUdvwiTtXmERmMAL1XW+rX46baY3RsELpqMU4FBioBGFNjLahnpsCYol9OmOTEUFaZ4bRH1RRc6oL0xik8IrGIsktkPxaqXzw0VMWn/pQuO6prkMUEL/KeTm23Syw8j0mXZtlQa12HWID29A1rUaHJMUNVHx2lqEogt7BKNOpXMsihWr74iPZoJ0kHDB20bUUP7zrtubjog6/KbLMpoGdSW3TOg4PV1ALcVvBw+cdfi1e94KjUuUzPR0osqoFxYq/4taUrAjYvgQ7xzmvlrxaL0Qvj0sQ22UBb0YsigrVJ2dYfzjjpGJzzppMARIaEzf1aibWbT+9Ocof2Dfup88o0b4wpkoF6dYYm9A77+MJfkiT3plLnFDQSPwu6fpgGk04iRYCExEL0bSGxqPj5NMimyZy2zcYejgR6Ny5Xo7b6xAg14YYn1KCdouchCEWwcBRzMalUSDHIot8FIU9ptm3ZHOhYE6wqDdKbtWaX8V4mtRVScxLVbQtDsr1YIMGkHG1FtbBTo8UGKkGIK+ZtUaQVAikGWUPIeaq0eMiBSW1m/olq9sV92ca0H3IlM4vu3bC5pcW7ULMXJaaWmHPEpt/MIKt9OM+jrbeqpnhek9sL0mjlnMu1oFwN5CaAztdZsgOxoZnarmbhoOnHzBKLQBqjgkFOSyzSAWw6RB80FZ6iOKK9iPPeexpe8pyp8jOPpeMj6J+mEtXfec/LapJoWdDXn8GKj/aiB8ai53Tr0i5lsyqC9ER/oIYxEGWQ0jeteTJ7jMcgvZYbyIyxdzPGNjDGNjHGzm319RqBnuatFoNMB4Yt+EbXIIsdu2DsprQXrYZRgakSi1qGnJgEqwFXiizQxSJKnF5IJmTD4Kast9AgBwFXBt9zp0VSh1LBw0de9wIA6sTVHp//eUelJRG//9hrZflP04AWQTc9g5XUYPEYw7v/9gS8/qRjUr8zGaRUYmEad8N+bemKgHhntRZfYRCI5/GFfzwZD3zlzanjhFEm3IgnT5+aOkYcVwnCFKNgW4Ro6rJCgVlZRWGIbCLJ9XuHq6nnIRlkpqYwa0bFo3ue3ImZq3fhF/dvwIKn9+Hfrl6cebx4prUYZN1wowzQpLai7HfidoRhs68/yWKRJbGIyqyanwGdN46ebC4hPhKYNMiDFR+cm8ukC4gMAwKCXfRjDTIQzUdpiUUiucnDIOteoePiVJfCGBmoBLj4wShVlH6+SaUoaw/deND0VcKAay962NDdh8c27UPFD9Fe9FT5j2WRzaoGCgBXztuCnxEZE0UWgwxEhqMY02JshSHHJMs1f0SKC4nnYBvTV87boqTR1AtMBJzj4ofShWhEqWm66SgVkiwW4pkJA9uUUakRiUXWnGpiqcX7ntJWlLE0QcglQVQhrC99t1nXEZpfPdUqrSo5XE0HUivZG8LIK5CSWNA22FLzCQbZYMxSTIvnCEUixFi2gWwwuj9z5otGaCCr72WwEqAU14NYtGU/vnHbk7jxia74WifJvpUwyNHvxHxRDdVxbJJYmLyx41Fi0VIDmTFWAPB7AP8E4FQAH2WMndrKazYCjyUR2nk0yNQgtBnI07QcksIYFhpkESFrbI+XTE7D1bBmKV+6OIrCEkDU4Xb0DOHRDXtiiUXCtpgmmBeTnWzRY5i5ehf6yr4ygERRi1LBw7+85vmpc4lj9SpGAPDKE6dJY9BU5U1MOAcGKiljQCyQz5uWNryNejKS5s2UTW7FtoNG/ZUJCYOcfZw0kGOX9tT2El56/BGp48RCIQzkFxwzGT99/ytSx4k+oE8cFUuaNkVjmFFKWSyam0m51UND1dSEr+ZBrm2EmPDFt71Y/vv5R01KviDswwKDu83W5nq1vVQ/P4X0f9H/aOVBIOo3WQxyW9GLNMiGyZz2aVP/Hyn0K5b9AENxX6u1GFMIlyrVFk9uK6QWX2EMhCYNssHVHLllk8+PnRLNFdSdLfqYbmi2lzwEIVfmU4VBjvtze8nDjp4h/NvVi2NdOVPYT1vXzKoGCgA7LBlygIhBFvO3SRrEedIvfZnFgufqA7UYZAC4eWmX/LduIPshxyWGQjTCRU7Pa0pDKPqxiazRGeQ8G+MsMocW6hEQfWxSW4EEc0LJg2za6OvFMShEysbjNAOZ5r4e9oNUH7xl6XZlLY2C9NIyDYEs3ThgLjxFcZTBQPYM9geVWJgq8DGDUV0P9Dl1MA5oLnhM2aQ+/6hJ+O5Zp0YyJ57IKMT/VQ1y8mxCno7ZoOOoTW7WDjMDGcAZADZxzrdwzisAbgLwvhZfs27QCTYXg0xepMgAQNH5s7NSE45gGA4SBllILI7sKGLF9/+PPNZjTAbDDftBTYOEc+DEoyPjg7rvwpDjPb+Zj3P+tARD1UBKLADz4D7puClKGwTo8xCTJl2Y9CwWAIz6OzHo9PMLiMmnb9hPLXTi+JcYDE56/e5DwzjjgodkKrthS5De41vMpU9NyCuxOFIyyKIUtPk46S4mi/ZRk9KMox5pLmBjLmhmhqxNnmSQ9/TL4w4NVZWqgQDJg+w1LrGghrWpTwScY+3OQ6nPdSSR+PUtBIrEoq2QYpBN+Yqz2Ni2ohdnsUh/l/f5N4oUg1wNZUDN41uyJSoCU9uLMlVaNeTyHRcLackTXfgKjOFfX3siXnjMZOU7Cj1IT1S/sxVFoBAG7JdvXik/M2mQqdHWN1xFW9FT2E/bIlvLQDb16U/8YbEkFwSTaKtKKDXIJItFrWsCSX/OK/fSA6ArvjmeREgs6FxBN816qWn9HG89ZXpKR59n1GdJLExxOUEY5YueVCpEczWRfJQKDEPVAEPVIEU4HbDE73gsKQJyzBRVl1tVGOTa62pbwcOUNrvEwmYgi2c6VM2WWIh7ov23wAxVbmtILIAo6L1R6HNglPEnGld0kyr6gwjSkxILrhnKWv2GKC2mxiBTA9lCBI0HtNpAfj6ALvL39vgzCcbYZxljSxljS/fuTVeAGQ0ormkvOw9y7nNqC6TohGJHNpVILKZNLuHoKW2yo9DcpLQOfBakgdyTMCFnXPCw7OB5JBYKg0w3DUr0f+ySbSvKiHEqcUi0gulnWCABCKZHrFSt0yYv8TzfePKxKbaVXn/2ml3Y01fGxlhfawvSqwd6rutff9isrxbyEbHY2Xb1IoKcun31tHdFjyUTR8oVaJkkySmyvA6iXGrn/gHJcPcO+TLNG21DdB9RajqBMOS5IqsBNVhtMnFXik1LEHI8s8+exkq2OafEQgc1yie3FZJsCJqrWaCWxKKt4BkZEUCdR1pgHyuudkBILKK2XjArHVxmwnFT22QZ4iAuFAKYPQ6yMAyPZFa//NCrcMUn/g6AJYuFp+Y2F4FDekVQ07AQxmSXIW0XkMxBdF7pOjCItqKn9DG6ifj0P5wk/20rQS1gep/zn96H/3f98khiUvBSwUxAZDRynhjwl8/dgv+8dmmsQa5tICdBevk8ADoradO5eizaBCkMMgnSE5vvvURaJPDNd5+Ca845o6EgvaxCIabaAH4QwoslhdRo9RhDe7EgY3ZMlWlNKHqeLCOt/+ayuZuld2i4GmZWngXUHPUfOv1ETG0vKkF6tk2NeJQ2Y1bgqElR++jQM2exIAxyxvtuFPpGaLDioxS3QzGQSapFJc2bZiDreZAjQkFjkMnfUg9/GDLINcE5v5Jzfjrn/PTp06ePSRtohyx6Xm72x2QEJuexGcgkSC8eGWJhPYWwo0d0JKmX8uysZhw7BW0FD7t6EwaZGsFSYmFJK/Sd97wMZxB9Lx1wJYUZi/4/pb1olGvo+lqKkufJ8+p5aIEkQpix9GQs3gljDP/31coeS5mo9M2NLUgPiFxcbz1F7XNic0IZi16NQbYZaSkD2dKPRFo3+oz0Q9uItlKfOGwTM+23WYUpBFM8WAmk7OHQUFqDLLpAgTGF5Qh4fkNVYZDJ/foyHVY+hjFvFgsd1M09WdEg2wxkjqGKvT2lggdw82ROF7qRLFh5EUks6qtcdtzUdmno+UGiLTYx81L7SeIQxH0Z71/LYiEyz+gBUccYmERhTO7rLxsN6BLRIAt0HRhCW0Gdr+lcSQOsar0PW/qutmKU8aMYGwxRoRAVlEFe2dWDh9btjjXI+Q3kvPEQOoNskwN5cZo3Rf7mJQayuO43b3sS67t7teMSOQvFSIP0TEZuEHsnOkqerBEQtT969gcGYj2xwbg2oeBFcslSgeEITT88b+NezFy9S/4tnl2pwFT5V4wSCdI7/sgOtBc9ZWNou9ckSC97bApCis6tnseUjTagFgcREovvnfVy5ZjmBukFKBU9lArqhlAQOyLVom4YJwyymgdZr1oJqJ4YXQ8/ntBqA3kHgBeQv0+MPxtXUETyNdK8nfOmGfLfutsHAH7xgVcCSE/IUoM8WI3zHHuJxjO+nmDzdvUMS2Orf9jPtbM6YdokHD+tHbt6zFXNhqoBJrWZjVogFvqTNivpmuJ2vui4KbKtk9sTd7WeBxkAnnNkB/70qdcp1ygWEq2UUYNMzpMykKnBrg3oSpzpY8a5M3G9VmZzqBJYXYOmXNQFj2H59/8PHvrqW+RnOoNs08Ee2SE0yNkSC/F5h2Igqwe3E2ZMN4htiylloQ8N2d17VanP9nHi0VGhkvvW7FKOoW3XJRZ7+4Zza4Hpu6JsrjDsgpArjLhwy+vIWygEUN8PfcZUgy/WJP0+Kn6U5s12nWIhMgJNaenoOxwF+zgqalJjEdZx0nFTJLsYhFzOQSavmUzzxrn0Fol+Yayk56lGlGCQdUPBVERJSCd6h32jMUSzWAiI3Nb0UVOJBZ0zBDFhg22ObSt6Ml+0YM4oIiYNaDPodW1p3iiyYkJM0Blju4EcsXZK7mCPST0r3RAteeaAMseIeV0fG7VSMQLZ93GUYWNUjSUW7aUChv2EzPA8hvaiJ4POTeyzCWLOPGZKW82yzGKz8YOzTzUayO1FT3rOil5EWFR9jvXdvZEkrVaQnoXtff9rno8/fPJ0/Hccn6EH6ent/txbTpb/rgYc73j58fjPM1+kHNPsID2xIaQQr78YB/CLISP+TzO46Gt5VhYLXQ8/ntBqA3kJgJcwxk5ijLUB+AiAu1t8zbqh622zdI5UhpDK5Vny8MHTo/2AVWIxVMXktgIYCXwSE/m3/ukUvOu04/HO047HlLYiGIt0dnlcWydM68AJ0yah21L2d6DsY1Ip0evpCxzTBiYNwil5Hlb94J2Y9aUz5QI0tS2RiCgGMnl2Z77kuNQz0BkMCunSNew41WIA6rMt+yEOxgvg+m619KotiwUQyUR0Q0gwF9Q9KgIrJYNs8RzoWSxsk5Z49lRioXu424sFOdnrgRk21jCvQVCNS2EPV0NMm1TCZ858UaoalEgHCIggveTcj285IPskLbZhbBN5BlRiIYymQFvEbYZ3PQwyZb50iUWKQS6m+5JJ8yjAEC0AtYL0munytKFcDWqyVBQfPeOFOO+fTyNVMhPDl3qJxMaW5vQVj11skMVYOOsVJ8jfrdnRq5QrfvNLIu+Mnh3DVHaWjjeTVlVKLDRWs63oKc+ajnU6j++3aFYFrAZywUMQhpHBwESBBMqORYaj3m9Dnu1h1NuYNz2a7rbPcrkHnCtxBXT+pe3t7h1Wri+1sbqBnKN9WVpqvRojkKQa7CgWMFwhBjKLJGZCYqHriW0Q4z3P8SKwteB5xjHXVkyyfgQ82kxWwxDvvng+PnDZwoaD9I6Z0oa3v/z4ZP3XPLT6FHfq847Etf9xhvzbJN2ptRnIQrvm6RisRIH5emYTMUYKcalpsWHSmWQgSe0IxLnC9SA9MoZkMPrhJrHgnPsA/hvA/QDWAbiFc762lddsBHQijZgC+2Ohg1xPVk5dxTYDeaDsSxZEsAfi2Occ0YErPnE6jprcBs9jmNpWRF85H4P83GkdOGFaB3b1mqOxB8o+JrcVM41/xVVJrlksMEybXIp1YtE9Tm5PNMgmiUX0O/U50pLeJnZFGEFRuid72/TJoOKHqSIHAkOVwOob7Ch5KYNLLLbUi6AH6bXbGOR4YRGsjm3SEosRZTf1Y9tLnlzE9Il22DLx5mURKgGXC9mktgJOmJZmTzzGpE440iCr95w3qIg+x3//+79JsYphyI0eCB3VHEF6wvCiLKMSzZVAAAAgAElEQVSe5k3PYpEOUInGm/AG6IieizlbghKNTt7nq06cZm2zCXpqKRvylMWm+PxbTiZBepCGH6A+15efcCROPHqSGqQnGWQmPwOAN7xITbu4I46BuOW//l5G6evQsyMAUFKimRhmYcDrRmdHqaAQFXThpe+gFsdg06MKBtnzGAoFhiBM53jlhnYB5qp+OqQGOYfMCFAN4kgPbz7Oi/XgIq7gwg+8Ui0XTN5396GyMoe/4eRjjecUnhNb/l/AzmgD5rgTkWNbZEagEouIQbZLLPQsFUAy3qcZMmboEAwyjfegoPKdMOQoFTxJVjy9p792kJ6N3dfm6aI2b5g21/QnpvlBl2XUg5NJcD4QzbU0oF6AsvthmM5iQW0GqkU3xWyYGORmpA9tNlquQeacz+Kcv5RzfjLn/IJWX68R6AxylqGhMxg2pA3k6O/BSiAn0yTPrPl6R3REuUnzpD95bi0GuRJgEgnSA5ByK9EmU60VNXSFnnBqe+KuVjTAGYtCwWPyWJOBLEsdB2GKobO9k/aih7IfWCUFg9W0xOLlJxwJIDJydAOpTXs3AHBIy4Ncm0HOllgIVocuqrQPTD+iHRd98FXy+7wMMp14f/avrzRfHGog2qRSwRpQSf+tG6Z5JzNqJBx/RAfu/MIbASTux4BzxXixMsh+7TRvYoMiigwA6iZkioFBpuc7enJJboaOsDHILHarG8YkHcYeA278zBtwzptm4K7//gdrm03I45oHormknsplw6RfhpoGmfZ3xqK/lTRv8b2JhVgscLZiGB5Lx2EImOZQqtfNkljohkxkIFMGmcvCC/XI1W1p8iIGmcvsRoFmIA5VAvhBaDSw8uxXS3UyyLSdWQy1lFjE/ePUeM4TTSopDPKQIhcwyQ2AaJPx+euX48XfvQ8zzp2J7kPDKWN5oOJb37ttw+CxxKCnDLLHkvLTJv3yv//9jNRnIuZALxJiwkevejxuFzPOK21FYiDzqA/Q7BlWBjkeG3kD6vS51hS7Qn8jUq2q59CPN17aiJOfk87DX4zzIFOI+9I3M6HBQB5SDOT0ekH3o887qgMf+LsTc8toRhNjHqQ3HlDUjYEsA5mwH9989ynW4/QdXUmygb6cTIXRYTP+pnYUIw1yDmPkudM6cPyR7ZmlMCeRNG8A8OaXHodrznkdvvOelwFQWUxlh0d+Izo+TRlHI7CzNheMMWlgmwJYRHaFapguTWk776S2Asp+iF4Lg0zddgLvfVXkFg45TxvIBrdXX9mPd8zqMTpk5bB4Urft6k1yAXp7N3/2DXjdjGNkP9EZZLvEIvn384+ahPe9+nnm68cFJoDYQDYYLFRiwRhLeUvyesPoo2Is2UAJV7Gu47MxyJUaEgvGkiDJDiuDXCCp65A637FT29EbywFs0pGoAmS6fwLq+2aM4e9PPhbnvfc0AMD5702nfz/7lSekPgOQSi1lQtFjNXW1Ov4mrtxI8yBLDbLioYkXQVkoJJTPTdyieG82Y54x+5g1VRmkn5kY5KRQiPrbjqKqQQ5CjtlffjM2XfBPdclcbBKMUpFJBp0GNwoMVQP0DvvGOcEWpEth8sLpeP9rno8L//WV/5+9Mw+Xoyj3/7d6lrNlOdn3fSEkARJIIIQtgbAFFHADFVlcQOAqKiIgXlGvIvdeBbff1asoqLgjrnhVQEAQQcKOIAQkQCIkIWTPyTlnZur3R/fbXV1dvczSs5zzfp4nz8nM9HTX9FL11lvf932RsYTPkI5y1lAxhz5tMq4XCgHsOJe+Qgmjh+Rx/xXHhO5zw7Ye/P7vXtGZR1/eFhhv9vQVQ4MTw/P+C3fSRsaWJYRPLjfKUErZdO/Re3qZ6SiyGbMHWZWkFJ2xQr1PNmwzr9bSeN2jOMNU9NPg8yCHGOvqrTx+WLAWQJJ7fdW+4zBrTFfg/emjgu/pwa+A1+dblrlQiOpU29tfdH9X0TCeq9vuM34YvvDWA0ILZjUSNpARzGIRtYyr6kaXzRzlBuVF7ROAz9jJKcJ/ILwjHdqew87eYNllE8Pac7Hlbe00b/5BfMU+Y3HekbMCbVaXEdX3VQPXFGASNyh4HmRD0vii50HWPXRhxmZnLoO+QsnNNKHT0+9P8/aD9x6CGU6HUJJ+zTRgNsCk9GcTicti0eMG6YUYyIZsGOq2bpAMeZA1T0RY1ocoz4RKX7HkXsf2fMa45K1WRSsz9bC2H0v5v3ANU8rf+/pu/3ULl1jYvzns2WzLWu79rxoOfrmFKYuFd65zGcu9j4ZFeZBL4ZXk1O1UzjlsRmDC8rYlU8zLxAkG97asFVksQedbZy1xz4WrT1WkE3oqR8oGsHlnLzbv7HV/W0YZ9IDwVGZ6TIPedp32hB5kk8RCdUyWpJeqM2qyfsGKWaGfqeQzShYLR4Pcb7j2Zg9y/IMj4Jeembj29EV429IpAYNQN6ROVe4vSrmnT8Y9D7LXtv6ibUiPG9buVko1oRaNAOxroXu++wql0PvXsgQuP3Fe8H3nfitJv8RCjfcx3RNDDZNYyjqhl4iOIhMmscha7lgxfVQXchnhaqIBryCJDo1du/sKRiNevy98+dOFMI7jPg+y4Rrp97pJx/+mAycF3ps+qhNHzxsbeD+bCaa79XmQS97KH42LPg9yX9E9p9IksVBe1iCrbmo0cdPqh77EEVUBSR1w88qgDPjLy+o3rDpL9JbxnUEnpB91JRYJl7PjMgt0aMaQbnSqTTZphADP+FOLLvgioLV96h4J8jZHaZBLMqhxDfVGuR5k83JWj5YQ/rDZozHU0ZeSrkwlbNlye0+/2/Hp1deIzrwdWEfGZ9j4SHIBfVmb0Jf/k1ZJ0ycnYdX0CiUvlVlnmMRCDTgrZ71OQ1+dof3udrziVNCFCDv/dAnDflNb1vsdqgdZz6KhVgcE7ICZ9x0xA7/74BHIZ73E+GFBeqTNNj2SqkFo1hHqz5vZiIzyIM8Y3YXbP3IU2nIZt+hQEvQ4C8qD7Eks/G3POdKCpZ+7Hc9v3h2a5s0UeKVuZ8JkAMQF6YUbyJZvdUOdWOseSzXtF0kO4lCzWGQy5HkPGrOmSXPSgT+bEaF5kG8418sEpN8XenCVauQJxyO71qmWqRuAant7C0X0hchECFMXkM9axkwOYeNn1hJ4/1GzAtp0klOonsaMJXDLhcvdbUx6dpOMosP1ICc3kLOWPwiZyGctnLBwPH56/qE4Y+mUQF7gsFVLMv729pdCjN3g8Qnb/og2kCckMJCPnT8u8JnJg//1Mw8yTnLtQiH29jQ5UXNUq2nepMFA3lsoKdri4IqjKs2pRj+dNmwgQ/cgC+PMlFA76LasdxONHtKG/7v4SPczvcNUX7sJtw3L+SpD2hyJRYhz4cfnLQMAzB1nz7TDtLFERy7j0/noh1UfQnXpTB1cKfCgI+cVXVCNWX2fukdCDQ5T+dLtz2K9Uu5VlxWETTg6NA/yR46dizcc4HlSevqCJUXp+pakDJwz9Tr95Lxl+I9TFwKwDWTqACiPsU5HLoO2jOVJLEKuq1s2Oes3SvTf6gZ2hmjZdPSORi8PTBSL0pNY5P0GspcGzS+xMFUjPHBqN758xuLINumZHeICCeMyOERp0WkwUrNl5DIWLlppewu7O3KKoWd/LoTAlSfNx+yxQ5DPCHfQCwvSE0KEZrFQH3lTM4OeI/N2URrkfcYNxeyxQ2wPcoTEYlJ3h/u7Af/Egirp+fIgK58LUD7ZYNAxtbdQsovFhPWVUVe5PUaDPKIreO5dOVpGN5AzvnPoC9LTTu5wxchKki4QsNO3UaaFrGXZnneDjM3OPhCcACVJh5jLWKEe5JX7eN493TOrTxb0FamdvQV8/a7nnd/hfOY0UfUO9hXtNJmmth483Q7CNC1ilqTErY+/Eng/bCUz7Nm1BJwc2t4ERwiBYe05/PnSlfjK2xcbV7lM9x4FUEcZyCYD3USbk8Xi4BkjIQx9l56dhaDf0FcomSUW2n704F6zgez9nyQWv7zoMPzpkqN8v2Hi8HacsXSKLw2cOwnOWoFePGw1lAqFAF6KPdWDXCoF8yCr42xfoeQa8qYgPTU3epJg1kbRvC2rI+oFsixhvGm+9o7F+NMlR/kefjUNzKIp3T5jsKstixvOXYr/ciQYc8Z5y0W0fz2iXmdoew47QvIgHzxjJJbNtKvK/eC9tqEc1xl35jNuFgEgmDlBbYfqJVEHTzL+2n0SC+9mj/M20oOhdwJfun0tHnpxq/tazyGpd07k4evIZdBbKGKHU3b2g8fMwflHep1DT38x4OWga2jUICsd2iEzR7nFW7b19ClBeiHe7FwGOcWDTOfzL5cfjf9SgubcjAyWf0DTfyu1JWmu20DHGyrxKPm05HquYP27Yfu55cLDsFJZnjOl7/JHaMffH3Fp3MK+3paz3MFIHZTyWQsfPW4f3Hf50Rg7rN1tj2nAzymTm2EhUfACwSXDXCb4HJs8w8FAGnPEetTyMA1CtoEc7kH+y+VHY7WSgk0fhAMa5IAHWeA1ZTnZNZCdv4ViCUKISE87ADzy78cGPjMZO+p1pwpjvs/pWdEmJnqQnm/pVpj7DPv3hN9nZyz1UvfnMwIFp+KgJezzb8riIESwwIMlRGw1PQqITBKkF/AgZ8P7rjCJH72rSst6+0uhHuTrz1mCi1bOwuGzRwc+6y+WcNWvg0mpwiZ49Ozpc0s6t36Jhb3t1FGdeOMBE42G5hCDgUy7jnqGDpo6Ah89bq7XLkOZdSA4nurnNEzWR31Db6GItmwG31NStAHRUjhLxKdxo/t40ZRuzBxDAan255NHdOKaN++PLmUy5RrIlhXI1RdmM2SVehA0oSgq3v1Cycs0ZcpiAQDvPmwGALOB7M+7bWxCU9DETasf1FdEBectnT4SM8cM8Q++is7NlER95T5j8daDJuOH7zsEZysRt3qmhLCZdWc+g56+aInF2w+e6hZXCFv6JzryWYzozHkV0gIeD+//6g1tel8N0usrY7kkKouFip7vM9RAzmfQX5TYtrvf9fpNVKKwiyUZ8EZT52FXH/QvMeuDBB3H70EOW+a3U7PpEotJ3R2YP9Fb0o0L0qMO1M1ikdSDbOmvQzzIJenTkquaXfKy2RpkWlJLVkXr0auOC+jcMtrSftQzBnjn3zQg0z5MtGUz7pKzeg9mLVvGQPdERjHwwo4NhHuQqRiGej7Iw7Jph6dJTORBDjGQo54NCm5py2bc3N9htIVITUjvqaZvUz3MwvGGPu8sz9N31N9QdDzIw0NSudHPUgPuxg1rw1mHTjN6kNX7QtV/e94v88SmLWv5Pchqv6VdBNVzGHUfqt/LZ9UsFhaKRWkskiJEsPy2JZJlJMlaIlHaRH1f+kRD7Zf08Yg+MwXp9RbCPcjD2nO49Ph5xusclpou7DeHjZW0srSnr4hzb3zQ2db/XZOBbAqkpbEyyoOcsQQWTx2hvLaMY6w+FugZmsI8yGRI9hXsSceRc/3VWvVbLyjxjPYgmybfXoVaZz9qH5jxJJ0BD7JmM9DXcoptM9yZsNKz5enFSWJhf0d/LqY6QcF2f6l7kJPHLTUSNpDheROiMzDYf/XctUfMGY0TFozHJw1R6rTN8lmjfR0SPexxWSw68xns0TS0UYQt/av7y2Yst9Rr1IOqHlPtPP7fOw/Eew6fgZmju7w0b76bPbqNtKuw9FBEnAeZBlEyTp7bvMv1+o3ozOHAqd04xCmdredInjyiE986awmuPX2R23nklU7Ef5xgye8wKYsQdrAHpdNS26xefzciXzEU1E5P9yBv3GEOBtHRja2wuUqhKF0PcqemSyfD0LLgehuSdmC5jBVYXlUHXTta3b8vPWVRWI5pIirwi/SwqlGue6TDCuXo20Z5Ru3KUN73z3eCXBdOGubbLvDdwNKq+RpFepAdF2lbzgodoAmfdEb5bRnHg1wIyYMsEPRq0oBLfwslCQE7V7sJ0+964OOr8JlTFhp1y+rxVcPHW22z/+oDbZshzZveZkL1TEf19arx/NjL2/HYy9ttDbIiTSEoZSRJBFTCjB2V4R25SImFin5fmIqmEHqped34DWiQC9EaZNPZei0k80dYFgvXQNbetyzv2aCYBP05N7VtqGESS9cg6rdkM8JnQGctswc5kCM/ILEwe5BLrgc5mcRCLzXdkTPkOY7pg+lj2k49f94zbgWeH/03ThlhG7Ul6a0uUV8Y8CCTxEJKrFn3ui/3sXrcYkkGJGnqtnFOk0bCBjK82WrUhaLO1hRF/Y13HYRphlQpKlnDoE1emzCJRUc+AymTL7HH6eqo4yKZRdCg8l6rkdqqMTF77BD8+8nz7cT5Bg+y6bfc/pGj8KP3LfO91xmTcUP3IOv7JW/QKKdi0hPrt7uGvxACt1x4GE5ZZHszTVkfjp0/zh2cAM+A0EvGkvHY21/0gvQCRpff40TH8+XXVq7NF956AC5aOQuLJncrv8/bH91rScs5e/vQDLCQ+6pQKrledV2D7FbRsjy9GhXHSIL+DKkDFWkyJ2hSJNP2Js0z7cNEu+IJzyjaT32gdLMwmDxGCQxk0iCrhtiMMV146jPH48xl0yLbqV8PUYEHmVYfklRp8xXt0bxUxZJEMSQPskkrTpMO4WxWknaJ4LDJU1SQXlhQEOGbTLrtMxtX7boHWbkuesYTNZeufp/OHNOFc5ZPx/JZo3xt37CtB33FklthlSYWXlvJsx78nUKEB3y35yx89tSFeNeyaU6QXiUeZM1AVs6bmm0B8K4TNVMdK/oK4RIL9/uG67lphznnftj96+5DBt/Xz59+PFPbTF5iMgCjFjIzluXTL6sZe6KOqd8zu3qTeZB1IvMgh8hy4jKi6Cs8PtkGOVwy8Rpkymhx+1ObXMchnSvao53q0puM7Okr4i3f+CseW7/dH+zrytlkII5qryrL5CC95kZPYRS1TdJCITq+ID2SWGSjj0uas50hD6JOXIATfU4DRZRnUPUgh3mwKXDB50E23Oyzxw7BoVp1pjhtnu5B1junySPsJfMpI+2/fcVSINF4kuVNkljQwKobpTQI9RZK7kOudyrfOmsJ1n7uRPf7ngbZ3P4Jwztw6fHzfOffp0EOkXvEEZDMREgsaNLVrmWxcD3IylfLmeDry5B5zXNpWQJ/VTKb6LpKMmrCJB1hbWnLehrkfNbCkukjnO11b43jATUEWvkkFpGlpv1ZLLKWbQipE0xTn28yAky/JyqLhadBTnJvB1ctAPvZ6+m3g1dNeZDtymZm44DOZ39RRg5sUWPeaENOWzW3q3of02mmZ06/L9pzGV8WC9I9mral7Bjzxg8NPCvnLp+OT71xAX74vmXG/jhjWW70vnrv0DnQ84TT7wjr53KWhTOXTUM2E6zmGUZQg+zft7qyFebdpeuiXt+StI2cqAk5fU+9rhtDDOSw1UEyKPUnL2PQb+tNMbXN1L+rgcVhZC3h0y+HeZD1gilJg/SKcR5krWlJJBZxNqQ7ASKphbI9/TZTiky9fctnjcLoIXlcomi0Rw/J4/wjZ+Km9x5i7ydiQMhrE206vi5hUQNd47zjjYQNZChpUCI6CLoBkwxMJnxeRm3ZMMqDDNiJ3JMQ19HS7xzlepDDt1WNYpMxQdj6OW82GJVHUyXOA6brbvWH6OOr98VlJ8zDu5Z5mkbdQI7LCw1454x+o67jJqOpr+BV99PPW1vWG+TUNG9+D3L07/UZyM7/O/MZN0NJEvRzFNap9helG2Bia5C980SeU7tQSFK/sYe+iuHzTGqnYGRX3he8CnjPRJjuPszob8ta2OzkJd1/8nB8410H4VtnLXH1+YSXxzfosVM9Uqa8q4B97fUJo6l6ZCKJRSVBehV7kL3/d7Vlsbu36KYvA/z3pxDBAi66xIK2CyPKeB6rXZP7rzjGnfAC/nuG7kEa3E/efwImj+hwZRhqqelvnbUExy0Y735X/w0ju/L49b8dhp+cd6jPWPjn1avxLiVGxGQAZCyveIpallrP7qFiCX/qzzCSXEsgmMVCn0CrxslrITl6yZDXZWKbd/Yag94Iup7qRCYsD3CYYyIs64oQ0QHjAIx5rU1G8L4T7KDqSd3h41DWEr4YAzXeQmXKyE7fa31l75WQqrXUPyT1IOuTU5NEJc7LKrWxyd/XONLAjIVj9x3n+567mp3x7os1nzgW5x81y+0j27IZXLF6XyyYONywbz97+lXPsP3XFKSnwgZyk+N2/gkkFpVeTJ8eVc+DHHIVqKPZ1WvQOhnut7iOlh5E6rST5h+Murmzlqe9u+HcpVjqpAWKI2qGDwRz/+odRGc+iwtWzEI2Y7mVgPQKXHFeasDrIMIC8LKW7eV7fvMubNvTZ+zM1cEmnwmRWMTcN+ouyZYRQuCTJy9w37/zoysi92EKAjNRLEnc89xr2H/ycOQVzyvgrZBYCQ0hHd1L4YusV3b06CePxd2XrsBnT12IL52+yPu+uyxn3n94SqaMW9nq4BkjMaw958sFSqxyBghT1SaaHLTnrMhlYn3CaPLMmLT4QYlF8NyesGA85jmDvIl+RYOss2CiP7dvmMSiK5/B7t4C9vQVXAmAv4CQVyWMcgd72kZv/1GDdtTtPlarBDZ+eLvPKDZ6kJ0TOnZYO+697GjMcK5fe85SvKL+g+o68+7OHPaf3I3hnblA5iJf2w2NzzqV9PqLfg8yXdOwwKmrT9sPi6d2Bz5TNzdVMjMRl8VC7YemasadTs7wG03PC0Fbq06ITSGxEaqBt++EYbjkWNsbSVlX9Ik36btVTPdWEsnZBStm4xcXLsdB08LHoWxGaKktrcB4ev1ZSwLfo5W9qEI+6gSaslgEt9G95eEe5LsvXWH8jg7N2eh+VLd3c8hnBK5YvS8evHJV4Nhu/IbyvUJIX6NnJlJRLy21QZek6ZSTs7resIEML0hPvfDTR2mzxypnOUJ4yciT5kGmByUuGIeIT5FlH6fbMQRMt+ylx++DXygJ2o+cOwarQ0riAv62HzbLnHlA5exDp0Ua8mGZG6KqG850ymfqXr+wYBEVGlRIV6jP+Cnw7peP/gvf++uLxkmF2hn5PMjKruIMZJMHGfAb+XETmsDSXcj2r+/uwyMvbcMx8+wB0WSc6Lq8pM5kPX2Weq3V39jdmcfQ9hw681mcutjLfOEG2JUrschZuPq0/XDBilluaj4Tb1s6BY9ddRzmGLZR9dfhgZjBbAWm5zdZkF7Qg/zR4/eJNASKERKLb2qDunrPqc9PV5tdgGhvf8l9RvSUgy+/vgeAl57SJEOLvh29D++9bCXuUiZ3emAmoMlBlGN4qRXN58TOg+wYBbqBrHmQVa9h1PNo9iDbFc7Wvbbb7zkkj50QOG2xP4OLJQRGDWnDlav3DexPNajVinFRxOVBVp/3r595oJsn339c+6/pfC6bMSrwnt7errYs3n6wnQaPPMjXvGk/15AD/H3W4bNHYb/JtufRiy/wk0SDrH7/ytX74kalgIqKnqEibBtTUDSxeGo3VhkmC3RfqBMVfcUsn/UyYoR7kLX2+NriFVqxBNzYpjjzo+Rqr0Vgn+4z5Hjh9VU1wCs6o977Xl9jjuMAoldGqQlFpYS4iaSrzo2ADWR4Hlz1wv/s/cvxLWXAqYWQnAYhN4uFpuvToWhWowbZ8JU4zSoNkqSvNAUZXLRyNhZPHeG27bvnLo2c4WVDPD9hfPqUhXjmsyeGfk6Tgj19xcDSUxgzR9sDjF6BK4mBTBrkExdOwPwJw3DBitmBbVRjxORdUptGlbf0NsdKLJSP1fOoehPibsGotH0qtNRpqsiUVQwhV88HgXOWT/dt94cPHQkTumfKF6SX4P7wPMjBDvX/Lj4iwoNsYd8Jw3DZCfNiVyfCAvDofSllqJEqhDBILEwGcvC75kp6/m0yljkPO9FfCpdYmIIACXWfXW1ZXxYTIJgHmYLG5owd6rZL/w00cf/9h44ItEX9/ZNHdGL6aM9LaupP1OOr/6fbIPDblLa6+lhtn3pBD5/uNGLCbbrHspZAe84KyArodwoBXHf6InzmFG/FR88dHYYuMwpDv2/1SnrqYbo781g2M9zgNd6zEe2kj9pzGVx92n4QAnhtVy+EAN66ZEpon2VZAkfNHYPPnrrQLTOtP9pCiMjiGQT1JQsnDceKfYLlkZMS0NdnhC/IPsyWcwP1FY/qZ05ZiFX7jvM5v2I1yBErFmrubLUdcX2aWqLb3l75jAp8RNzzJFP0ZbKS5sm4bzU88p6xP5MymMVCZcLwjtDPGg0byDB7kMcMbfPVKK+FTiarBV/F5UGmfL1GDXKCtDQ6dBwykHf0hHumb/3gEfj0GxfEPph6kvNqIaN2j1LLHYj2+MxwBl9dg5xkZkrnbGRXHr+7+Ah3XyptITIBwudBNgQpAOV5kNVzrg82SfcRtT0ZR6aCJ5bBEBIC2Gf8UHzyZDuV4egheewz3vPA/teb93e9Z/pEIGkAEhGlQd53wrDQ30T6uGpQA/PC2m2JoOFl0iCbZrDBQiGG5VYhIgcyd9kzgWfKf2zFg6zcU1R10F9qGjhijr0a1K3kxQ47xrzxw3CoZoxF9Rumz/yZK7z/33DOUpywYLwxd7LXXmcg1t7XPf218CCHHdvVfhqkSSaDW32LUmvFoRdQ0e8B07Px50tX4rcfOFw5rjcBDmuPCfo8I5xVNed6jejMByQSvj5L2N7aM5dNM6Zls9sSPEd6Xw6oK6/lDzQk87CPZ3+fHAQCwEUrZ+FDq+YAQKi3k76n5gyfO24Irj97iTvpy2czKErg3rWvYcvuvkQaZP0YUXmQw5xgJel3yvhkSpT6LqIvpntb/V6pCg+yWiPCrpAYemifrr3ZYAMZZg+y/roWxh/dvKphLES8xCIsnYxOrAfZebDV4hdh7DN+KM7WvIYmMiGGXaXQg7q7t+BUKnSOE3EBDp01CkumjcCCSX4NpmkpSSdO5gKYJQgq6lt6WjPvOHHGrfn9Dt9go81zjA8AACAASURBVLbJPIj792n2hFGKN5MR6JUeDqY+CjtHb1s6Bdc5OuKoNG9JiNcgB987ddHERPdqHMMV6VHYb6UqdCpGDbLh63qmA1Ne6EwmupiKu+xpMtai7mEtSI/oNEgshBD49tlL8finjgvkag97xvUgp7j+8p6PrfS3L8SDvHz2aHzjXQcFjksGsxoTEBYpf9riSfj46nm+gNeoSnqm85ixvOCpSd0d+OTJ8/HBY+Yo2R2ChknUpEJ9K0kwMRAM+AsYyIZrM3VUJxZO8iaPImRbU25q077pvJGxRbI2vyxMSaFmaFPwXglmsRg9JGggtxm8nB9fPS8wOTPxgWPmuNeBnq9j9rUdYJYlkM1YOHf5DAAIrJYRproFwzW5YlvWQqkkcea3H3BelxdwZ1extH/nqYsmBr4TJk+kfsG00kPPhdruM5dN9eUbp+dJvffdjDm5CAM55EHPK+kX9bzxOklihRpFagayEOK/hRD/EEI8LoT4hRAiGKnQJCQrFFK98UfBCarRkLOsUK0odTRhCcl14oIYXA+yM5PfkXC/UbwakuqnUtpUD7JS1CTq9E/s7sDNFyzH2KHBmeiP3rfM5z3QoYE5av/qwBu3dB6WtcHsZfQIu7/UPKphnmoiTmKx7pqTcPS8se7yuclApmfBZCR4b0V433RNXpkeZNIgh2XQMA0uCevoxKIvYV/zpv0CA5IQwDMbd/reS6pB1t8ySiyEiJTj6HmQ41Y3CPW6qBIHmoSbtJTD2r084fFR9P7XcdtPGdmJn55/qFuC3acJTdDXXvu2RTj/qJlYNLnbuy+1NpABsGDiMJx35Cxj8QQT5jRvnge5I5/Buw+fgY8cO9f9nZ6HVXWqBI0Vwi9/STa26NXsdOPLEsDlJ87DTwzaY++45vejPPTq9+i8RaUMVXPcm/oR072it8vk3KC+RD3H5x05Cz+K+L0qWW2cv+oNC/DT8w91A3aHd+aw7pqT8OaDJhu/7zm4VAM57/tNVHnRbbNzntTMLUlWep789PH4wlsPCLwflkXL9SAbJmUkH1HHoM+euh8e/9Tx7mvarym9q16AzF+lz/v/1995IL7rlNW2nVvexLUkJc4/ciZuOGdpIL6rmUnTg3wbgIVSyv0BPAvgihSPVRWmyM8obrlwuVF3F4dpqSObCUbwEtTRGCUWhq/Eees8iYU9cITVkm8k1FHv6bM9yJT+KUmlKROHzhqFDxwzJ/RzU6ero3Yapms1VXngwzzI8ZWQQiZJvsqN3vum/QUMMGWbA6bY81O1Q9Pvl/0nD/cZDlIL/EikIQ5ILMqbWOZciYX581qs5IShGyBnHDwV88b7g/mSFAAJ2y5oGJhkMdG6Pt1AVr2PcUu3RKdBYhFmlJOBHBWFDoTGVEZy8IyReNvSKe7rD62ag59fsDzRfTaxuwNXnLgvLMvzy+ttfPvBU3H1afsZPYJRz6PJeM6qBnKE1EK9BJEGsvL/pDIkPcbC5Nl7/1GzcEgCjyqdKqoEGOfFdj3kmkyQUoaqz0BnTGBxMEgveD1MOnW658uRO+4/ebgnf3FOl1d62cLBM5JlXQL88RmEGrcA2OOJeh9Sm2/94BFuZpGo+5v2PaQt63smaZ9hExk6JO1anYB9990H41tnLYn01NJ+9ypp2pJ5kL3PTtxvAvZzVivmTximZLGw88a35zJYOW+s736/7cPmWJZmITUDWUr5RyklWXb3AzBPy5qAcjVNB04dgXnjh8VvqGGKyM5awQAFgqKWjUF6hhEpruOgB3yco/mZP7H835AG93xspZfXNEsSC1uD/L/vWoIPr5pr1AbXAtdDFnHuVGNNP8cPXrnKp230efTK6MjDtvTLfNSZe3yQFm1/7Pxx+IGT5F1dWlYnas9fvRq/vPAw73jSu8VoryYjQEc17r7+zgPLXnmhiP6LVs5y3/vDh47EX6842tcGlRo5kN3BTi1kkST3ahJvsQlT9H5GhE+YAVWDHDTWohYp1EHJ5EEO86i6FeziTrJu/Fcwk/nQqrk4aFp0BgITakEClWzGwjsOmWp8VqI8yMZJkGW5RkS7oUQ87c4ky6P3ZozuwidOCma0SCpD6tYmcPrqTJJnTd1k3TUn4fNv2g9AfEAzfc3NBey0eQzl1Fd+tyr/SWL7m7K5mH4LHTNsvO4yGIC/uugwPH/1at97lZY29mKVlD5Uy8yhe5BpPBgztM1N91dJgR1a9QuTWFAmp0MMmUjGDG2LTOEHeOOuWnU2TIPsrwrs96qP7MrjxnOX4n/OPNC9/0nq5Gq4nZti8ogOYzahZqJeCejeDeAnpg+EEOcBOA8Apk6dWqfm+KlXqUNXp6T0GvMnDjPmZAXsDtASth43KZaIiMJ1btDRQ9rwuw8e4T5UteCn5x9a9ne+8NYD8LM1L2PKyE4vH6Mz+PT02xKL8cPbcfGqcA9wtdDDmlxi4d9QN2b8HuTk7UhyD6rbmAdxrW3ONtNGdrpGkWrAmrTVbmYVCwGjJ8nSN+1nxT5jcOJ+4ekBwxjWkcW6a07yvTdn7JBA8OARc0bj+AXj8YlfPllRQRMTQ9qy+OypC3HknDHue6pxddL+E4yrOabTksRAtCwRMAT0FFSTR3Sgp6+ILU5ltP98iy1JIE3f/InDXJlTZB535TNVg0yGUZgXk4yBuHOs60rr06M6x3IOFuflVomSsZgMsGzG0yD7KiY6f03BUfR/OjdZS7iBw2EZRqLQjdikWWtUyN9ObaJnOs6DTL9PNy5dDbLyvjqBMD4HlB1H2JMaUxYLE66BbNj26c+cYHwO1fPsZkSp2ECO/34uI7C7LyixUI8fKbEI6WPp/IflzN5/cjfuu/xoY2aiJFx24jxs3tWLZTM9j3pYFgt1gkDPkXr/UIaR7U7ea1r1cg3kClYCGkVVHmQhxO1CiCcN/05RtrkSQAHAD0z7kFJ+U0q5REq5ZMyYMaZNUodu/FrojKNwyxkrD82PzzsU7zl8hnF74Qj2y9FYRmld1Ydv/sRhiYNDklDOUhXxloMm4yeOYe0ZyF6bklaYqgaqnBdl/KkDb5gRSqjeuXLup2QeR/P/4/ZZDGl/VKCfmnrHC0Ry/kYc051wxDfPiOmc+ZatlVuilvcvceayaT7JDA3GbzhgIr729sWJJz1JtrMEMFGr+GVZwndd7r3saLzb6R/etHgSVjuTjhe32HmKVY9r0om+aiB3uRIL83fp/bg+qFwNci2he6acaVLU4Bw2+aT7Tfi2Df8u/Z+8/rmM5d5P6iGSypBMkynf6zI8yHS9qApqUg0yHXOrM2EbPTQosVANqqggPTdYXVtJedOBkwLfUfdrCrDsyGdi+4OSNHtEk+J6kE3Xyzmf7bmMTw5okgYmlUKpzB47BNedfgCuVYoq6Uzs7qjYhpk7bih+/W+H+zKNhGXM8QXUOu01yo6cz678xZP2a1p9oGDHOvYRlVKVB1lKuSrqcyHEOQBOBnCMrJWbJwWiIpprSVRwVBj5jOV+71tnLcGWXb24/JYnQrfPWAIomj+rZNmzfgQN5HIzIETx5TMWGTurJEFI6pJZYClQa6Jaza+cDiDJtRGGwTdyn4alZ9VzZroPSZc+ZUQHntu8yz4ugt6xMGjwqNRAMp0zv8fO27+iBkkNL7WT7dlNUgCE2he7byFwzZv3xzHzxuGSnz3mvheagkt5+4KjZqFQLOGtB03Gf//hmcTHBPz5rz2JhflZC8sQoWPSlVbLcTHLwsQnTtoX/cWSm5ouCeUG6Qn4M2cQus7YJ7Fw/t9XpH7ffP+UMx4cOLUbD7+0zdjOcowjul4kafq3o4P531VcD7LzfO9wVlLmOkvk/omrOQ7DPbZz8LaMhb5CCZblf+6vfZvZCEwSLxIFaWorHVfUDD/TR3W66TIB73x25rO+2J6evuBgHNX8qHHgtMX1VakWQzTIfg+y3d6o1HT6azr/zW2P2KQmsRBCnADgYwCOklLuSes4tYAmRGlfrvcePgOPvLQNS6cn19nRDSiErSX96/NbIrev97LF2YdOq9EEIxiEUG4O3ShOWWT2SiTRIKu2QZzXZqQSSFOOkRh12f7jlAUY2dXm2ybJdaZNVONGNQxMnpSXt9olhieP6MTaTY6BLGh/Qe+Xjuchq+w+jM2WAAocVJawU5x7u+dZ86IDdtnqh1583ZiSKsnPF0JgWHsObz5osmcgW8KXkg1QzrvSQ00d1Yn/fusBPvlV0kffJ7EIyWKh77PsTCFVdkPPfe7ExM/PtFFduPHcg8vaf1I5ClGSUDzIyoTNfTborzqJtf+qHmQ3XZ6y73L6uVsuPAzTL7/V2M5kEgsbema6O/MBSVMU+jHnO0F+YR5kU7+6/+ThePilbb7JdJJrTYZVpsyYIYK6iUrHFfotGUvgzo+u8I0LdD672jLu5AGAz4hOQjN5VWlCYSqs4v6fUsd2BvvAMDlirsqJTj1JU4P8NQBtAG5zBsv7pZTvT/F4FUM3flz9+mq58qT5ZX9Hv5niOsF6G8ifPmVhTfbjehWy6XiQw/A66fBtorJY6K9HdCnFCMroyKMGiHcdOh2AX4uepG+htoW13zRQkJdm1tgu3PmM1sYkHmQrXtMdRdxcy9PxeYNqmmtTeoYb1fA/af/xuP7sJcbvJfIgG85nxgrqMV0HsmGXJs1rObh5kEMLoySbhOifVyuxiKs8WS2RHmSj11N6BrLvY+f+sIL9CO2HSp9fdPRs47WsWBOrtTPJOX/DARPx2PrtmNRdXvUy10OuHYMmWOpvUD2Opi7whnMPxnObduKCmx52912tBrkcyk09SaiVb4Xwp6bzPMiaXlc5VpJuqpl0ueRY0c93zrcKaX9mqk6q3456HYhB7UGWUkav2TQR616zHdwLJzVHVgeVcm+majuPRuOTWKQ8SKrHiBpcovIgR1WAmjQi+SCUTINcnjHkLY9776mewpxhAvLxk/bFobNG4aBpI/GtP7+gHd/Zb4I8yJXehnGDPP0WkWDbWhBV7CEu4X/svk1aV5OEw/Ugh7cPKM9rf8GKWfj6Xc+7A3jYs2ZahTARlFg0dz8UmebNYNWVQgxkbYHBeD0ovy4A3LN2s7N99ecnbrJu4j2Hz8CZy6aVrd/3NMj2fXLXR1f4KhWSwSilv+iIqU3DO3I4aNpIRZ6SLNtFvkbBXZU6XrxiOcHP6PFQz+vssUNwwVGzghtH0EzPzffefTBufmh9IHuKamOQQ0QtOkKEeZBdqUx9lK1VUa8sFk3NECedWlTt+kbhdgrazaZHjRPNNAMtB/o1qsSiHhV24sp9A34PpT6wBDzIylLTsJDSqiaSdIwm7WMUbqlPnwc5OPtXGd6Rw6mL/XIUd/BPcEzqMCvWIMfcv2puZj3gKA10TbX0TZbC25rk1w8xDSom/avw/1WJuyb5rGXU3l92wjxcdsI897VJQwh4hpw6yVo+axTu06Re+jVo9l6oXAlQSZoniN618XuSgZAVggQypTjasnZcSqhWPQIhzCWz46BD0fMw3ZB2M2sJFErSX7Y8MhjS/mtK82airVYe5CoNZBOnL52CG+9b5wtyu+TYuWWPYbUcv5dMG4HjFiTT8ZtYOGm4rwojoXrF9zpBniYPcmCFw5VY+PvUZoYNZAAXrpyNw2aPxpLp5WdiSBu6mZI+OGEDXbNDhof6oKne2LToyGVw6MxRWBCRE1rNAqEnsNcviz7b1gkrf13uknzSLAmA3/unDl5xHnpV72v/jR/cVc18JcT9LteDLBQ9ZYpherruOq5ojP49Fb2dSZ/pSE91zD7uvWwltu2JLwjU1RZiIBvuoR++b5mrgyVazYMchclbTsUOAP+9rQaNAn6jwHRpTBpkFTJ+o7j3sqOxvacfL2/1h/akec5NpbR1LCHQlvWnKYyawHn9SXka5GqX5quVWJj45MnzcdkJ83DT/S+67+kTkSSxErX0b918wfLa7UxBHUN2Onprk4EcKIIk6PvVOVHqCRvIsG/kJNWHGoF3M/nfD1ui6zJUIGoFPA9yBl35DHb3Fd0cm2liWSK2VKk6YOoTEN0TFVYKFAAeu+q42GCoKOLyIOucsGACfvDAS7hopad2itMgq3g/O/kkzSvdXVnnF/+7pNsik4Sk1uhBh0XlWFGnQ89uUg3uBKUCv+zYoe3GEuw6aklzlcQ671ZzIUdQKAZ/rFQL56jPoZsi1P5rymKhkrGin4/uzhw27uiNbN+YoW0YM7QNr2zvMe47Dai5cdk/9D4lyph1z1lCA5nqBzTag2x6Di1LoCOf8emv9ewPRFTfmHaq2VqgXmOKixlm0iBrP58mS4MmDzKTPmESgDCvWcsayEoSd+pUR3aZva315rtKhHxngvN747lLcfelKwLvD+/IhRoiSTrGcrNYDO/M4df/drhvOVQdXOIGirDUXVFHrlZikVSDbGlBMmmhB1+VIlL++b5n+KxcA/ek/Sf49pVmNsquMAPZOWYj0rzVg1X7Bpegi4YZV0lKHDi1G9NHdeKSY+e67+uV9Mot5qNTjixL986m+TzonvKw9uj5lJM8I5aVTI86vDOPfNaKzPWfhDQ0yISaGSiNPO3NgOrkodLUiTzIuga5BSYDrWlNDSJ0iUWcIWUqt9kKSCVilh6sekgsknDk3DH43GkLceUvnnSj/qOgSkLlkChFU8zgm8TIVvVjST0xtNskS5txS8hxxKZ5IwPZCr6XBmrkOmA2nkyYTlWUFKS7M+eTQqipt7x9pTeghGkl6Xc3c6GQSvnHf5xgfAYKIQby0PYc7rp0pe99+rZuKAMhQZgxz9BQgy49jGCat/TOudo/h2FZIrCCFmX4qpOKJH3XGUunYNnMkVVnN6o0zVsSp4T6++tR6KoRqBOUDx4zBzc/tB4nLBgf2E4/XXqZ8jqVn6gKNpCbHF2vE6djalkPsvM365TXBoBRhvyyjYJq1Kd1fssd3EyddRKNmzrAxQ1KWc3YNaU60zFJgu6/4hjs6UtWLj2u0yRPpvD5Y9PMg+yvDKh6UqOM5XKv5+8vPhIvbtlt/jDBvs46dFpZx9MJMzqSFwrRSk03v30c6uEze5DN+/AM46AMyXQO4nKJqwZWXKGUQJBe5NbVQdc/KgdxxhIBozAykFU5d0m8iV1tWSyYGAwaK5dKNchJ2hjlQW7aSmllomZ52Wf8UNz6wSOM28VlsWiFSXRrWlN15Df/dji298QHuaRFkiwLKnoQWavRjB5kAOhxDLy0MmuU21msnDcWT2zYXvZxytHvffqUBRg3rB0r59ke8URZLAwRyuOHx2tgifhCIQ7CG2BTzYOslaFXDUWqkGbC9DNUk36Cdk7GD2+PPU9hp6acQg/l0u4M+Hop2eEdOV+/2Ioe5DCMHuQQC1mXHcVlsYgLYqWJynlHzvRlGTEeu446Fvr5kR5kQ4aMqHFL1W3X05uYqsQiFyGxUFJUtjKqBz4q5iZQddZ5SWOoSevfbLS2NVUH9ptc/Yy1GnQPcqzEolUNZEWDvHDScNz97GZfyrRGs9spGZqWhKVce+L0pVPw7sOmY9FnblP2kUACUYb3ZOzQdnzqjQvc10nG42or6SVN82YJoWSxSA9dU63aSVEdfFQWi1Fdefz0/EOTN8L1mtefY/Ydhw+vmotzDpvue/++y4/2GZKBGL0WtgKKpeDEJ8yD7kks7L/+LBYGiQX14yFXk/r7jlwm9lnQjdU0nwPXgxxhyWasoKwgalKtetPrOaGqOItFJvraAX6DsT10VaaiwzcNcdVYiYDEwnmDAt17C+VVGWwELaACGdzks8GluyhaVoPs/M1aAl99x2Lc9J5DmsqDfOScMfbfuWNS2X+5A0TOEuiuYAJRTQR4ORrnSgeBuO+NGWIHbs4Y3aXkQU4/zRudNnX5vWAwpPTvmTj3sOmYUkbVTi97QuKv1IyMJXDxqjmBIJyutqwxMIeoRSGMRnHg1BGB9+IkFmqQMWGyw6wYL2Q5OWK7O/zPf5orKeRBjyoOmhEikLkhMosFbZMwi0WtqNSDXE6uZiCY2SHNdJT1RI1jiTqX2YyFG85Z6r6myZJnIEenM2wG2EBucnSJBZUtPe9Ic4WelvUgO2QsgWHtORw+Z3Sjm+Lj0Fmj8MLnV2P/yd2p7L9cu5Xuh4uPmVPW96oxkJMsMea0rA9lHyNmEFo+ezS+9+6D8cGjZ3sGcmWHSoS+JO6XWER5kMP3Wa4h4+bfbWKjs1WzWJhYMn0k/v7p47FsppcXX8/OQOj3hWpEmSaUUVURAc/4SHL+po7qxF0fXYFDZtjtTNMAc7PHlBmkF7UKqOaOrmfKr6oN5CiJhfL7w4IBm/k5ToKaxSIuEJHkeYA3YehwMua0goHc2tbUIEAPelLLlpooxzPVTHhR0s07Z0szR2W5HhQ6Tx8+di629/TjxvvWJftelAsohiRjmFeaubLjJPkeefFpoElXg+z/PaqBXIjUINf+Xkmyy/9554GY2oA+QPfit0I+1yi62rLufTVmaFuoHtgNnqbXSvdlmuyplSBNuBPMhAbjdGUlJc2ZYjGm3YD9rOgTidljh4Ru72XHqe/qSLVZMKIIm0gNJNQxupxzuXiq7VyiTFC9/SyxYKqk3Ep6Jy4cj6+9Y3GaTUoF6ttbIXl4GpQ7QERFk0fhaWrL/26SQbtaiUVZhnUdbhWvNLD9V7WJTeV2k1DuuSlHQrJ6vwnG8rD1ZiA8xnTWLzl2rq+EsIprm5JGN0aD7FaCDDlmJZUo3Yli8q+Ujen36bz94Kk4ef+JvveiZHKefClZFotaEVasKQ5X6hSxTVTQ2kChnGqsKlQDgCQWUUHOzQJ7kJuccssyCiGweuEEAI+k2Kr0qMbDWU8uWjkL9z2/pWb7K9fjVumAQhKLSrwocSmqgBpU0qtgyp6mYaDLSkiL+cmT52NlBfmuK0EtjpImI7vyeH13X0XfDQbptcZzHEkCWYGngw9uW8m9nK0gBZbehjQguX3UxOf9R5llf2G4HmQh6pqRo9IgPSLq3g6rngeke33qifr72xLUBfjL5Ue7KyOAl8WCUqc2M2wgNzmV1C1vxbHJFOTSzFx6fHQKprQxnackZ+6gaSNw8v4TcMLCYGL32GMmCdKrwkNtfy/5F5PmBq8GOs8kraC/8yYMTe2YOvUaV+++dEXFusC4PMmtTNR9r3tv4zzIpNkcN8yc0q8SDb+nxU9TgxzUWEdx03sOiU2JqeaOrmeQXpqTNzK+o2I9TIf/0Ko5eOjFrWk1KzWSTDYmdXf4Xne6GuTml1iwgdzklJsHGWhN7w117tUEkQ0mKj1PY4e142vvOLCi73oxKuHH9oqLVNa+su5z5289NMh0jGIVWvml00cCeN6YJaEZGNqeQ/3M/tYh6lLrpbjV+9dUiGTKyE588a0H+IKXVKLSqIVRDy2+p0FOtn2SIGs3h7RoDceIqx+P2IYmBecsn17Wvj+0am78Rk1IJXIVklj0cx5kQAhxCYAvABgjpXwt7eMNNPKU9qcFOpBa0AodZTOg3g8n7z8BN963LvXMH0mujWUJWKJyD3JZ2ss63CpZ10B2PMiloCGUlBX7jMVjnzwOwzvD06OZkGUaJ42g+Ye68qFJe5JqcCaJRVeb2YP65oMmB9676T2H4PEN27DdKTdejjyzHvdFKit8ShaLVur2o853ey6Dv3/6+EBhHWDgSCxUKnHGhVWwbEZSDdITQkwBcByAl9I8zkDGTRVT5tN13+VH4yfnLcPPLyijIEEDoZ/XzFksmpUl00di3TUnYe64dP1/STTIgK2jrLhQSAXfS3NpWS8QQn8rDfQp1zg2taUZmTyiI36jFiWyGpzz1ytg431WTsDW4XNG48IVs90YjKgMKTpvOnASgOiMEdVSrsQiCXSurDpLLNKmqy1rdGiNcAIW06rG2ip0ttDvT9uDfB2AjwH4VcrHGbDkHM1asUwDeWJ3ByZ2d/gKGzQzgz2LRSuQNLYla4m6ZLEgAyTN8up6nttiFR7kSvHyIDcvXz5jMf7y3Gu48AcPN7opNcP1miaoBmfSIFcCOQj6y+i3T1s8GactDnqla4mbfaOGN6GaxaIeBvLCScPw5IYdFX+/Wg/wJ07aF/PGD8WKlIpNtQom73qzktrIIoQ4BcAGKeVjUd4kIcR5AM4DgKlTp6bVnJaFlngrzYjSMvam60FulQYPPug5jrtCpy+dUnHFwXLGyaXTR+DyE+fh9CVTKjpWEnQNMhnKYUUA0qAVKnAN78hh9X4TGt2MmuLlNo4PuCLpTbVSuFwFHuR64P6+NDzIddIg33LBYeiv4rzSc1hpS7vasji7TG3yQKSV5KJVGchCiNsBmMLhrwTwcdjyikiklN8E8E0AWLJkSfOPBHWG0nFVGqnfKgF71PmwB7l5SXplrnrDgsqPUVa2FlF2aqlyodboWSwa4kHmR6MhRGexsKmZB9mZeBWabOUvjfueggutOmmQ81mrqiIhFEBZz8nxQGb1fuVnUqo3VRnIUspVpveFEPsBmAGAvMeTATwshDhYSvlqNcccbNCS26gh4QnXBwLS1XZy59PstMqkqxZYmgeZHFBhKx13fnQFntu0q6ZtcAsUDKLz3kxEapAjgvQqge6rajydaVAyaKyrxaukV988yJVy4sLxeO/hM/BvR89udFNanuevXt0Sq9upSCyklE8AcPPYCCHWAVjCWSzKZ8U+Y/D+o2bhvCNnNropdYE9yM1Lc/m06oNwg/TsX++WRA+ZyM0Y3YUZFVbYC6MVNMgDkSTZQ7wcxDbV9l8ZV1LXXE8b2etpTNLsrDfNf3fnMhY+cfL8RjdjQNAq4zznQW5yJnZ34PITG1uUoh7QcMAa5OYnjSv05TMW4eaH1vve++0HDq+4slutoNuR7BUvD3IdJRZgC7kRJDF69WI1A1ViIVPIYqHKUupZapphklIXA1lKOb0ex2FaF3eAaZFS02kwZ+wQnNjEgU5p5vE8ZdEknLJoku+9gRiTMAAAIABJREFUhZOGp3fAhOgGUCOyWBCVFl9hqiOJBrmUwNucBKqk13RBeilILNRS3mwfM80Ie5AHCVNGNneeUvYgA7d95KhGNyEZg+gS6QaQq5WvY77ugVhgoBVIoit2JRY1KqThepCbrMpYKcG5qBRLiJZZcmdsnvhUbP6FAQEbyIOA2z58JMYMbWt0MxLBHWXzQgnuZ4yqrca2mdELhbge5AasdPCjUV/KkljQts7roRXm5qY0b+XkQa4HaRQK8SoVtoYGmfEY2l55waNWgg3kQcCclCus1QKupNf8TOruwPVnLcHBM0c2uil1I1AopBEa5BYoNU3MGz8U/3h1Z6ObUVOijLe3HzwVP394A95wwER7W0vgs6cuxGGzKyv7Tv1fs0osaqkV7it6OcW522eaETaQmabg+rOW4Ib7XmAvWZOzav64RjehrlhamoIxQ9qwYVtPXT1erSSxuOXC5djdW2x0M2pKVJ80fXQX1nzCn+30zGXTKj7WoqndAIC3Lkm3Ml65lBx7vZb987Y9dgDuqCF59iAzTQkbyExTsGr+uEFnfDHND3m2yHP84/OW4YEXXq+q4EC5tDulWVuhRGtnPovO/AAZVhowM5nU3YF115xU9+PG0d1pL6m31fAe3OpkqBnZlecsFkxTMkB6MoZhmNqja5CnjOzElJGddW3DWcunYVdvAe89YnDkQm82uEAL8Pk37YdlM0fhQMfDXQt27C0AAEZ1tbEHmWlK2EBmGIYJQWhp3hpBWzaDDx87t2HHH6y0kLIldbo78zh7+fRU9j16SJ41yExTwrclwzBMCOTXaiUdMFMbuIJhfRjRlefsRUxTwgYywzBMCJ7Egi3kwQalIePV/3TJZSz3OeNzzTQTLLFgmBbih+87hFPh1RFLS/PGDD64gmE6TBjejle27wXAeZCZ5oQNZIZpIZbPqiy/KlMZQgvSYximNvzxw0eir2Dnj6OJKJvJTDPBBjLDMEwINHCzA3nwwdc8XdRqbKRBPv+oWY1qDsMEYAOZYRgmhGbIYsE0Fl79Tx8hRFPmf2YGNyxmZBiGCWHC8HYAwIJJwxvcEqbejBrSBgB1LQrDMEzzkKoHWQjxAQAXASgCuFVK+bE0j8cwDFNLFk4ajt9+4HDsO2FYo5vC1Jkvnb4Iv3/yVcwdN7TRTWEYpgGkZiALIVYCOAXAAVLKXiHE2LSOxTAMkxYL2Xs8KBnZlcc7Dpna6GYwDNMg0lw7ugDANVLKXgCQUm5K8VgMwzAMwzAMUxPSNJDnAjhCCPGAEOJuIcRS00ZCiPOEEGuEEGs2b96cYnMYhmEYhmEYJp6qJBZCiNsBjDd8dKWz75EAlgFYCuCnQoiZUgsHl1J+E8A3AWDJkiUcKs4wDMMwDMM0lKoMZCnlqrDPhBAXALjFMYj/JoQoARgNgN3EDMMwDMMwTNOSpsTilwBWAoAQYi6APIDXUjwewzAMwzAMw1SNSCsBvhAiD+A7ABYB6APwUSnln2K+sxnAi6k0KJ7RYAN+MMDXeeDD13hwwNd5cMDXeXDQqOs8TUo5xvRBagZyqyGEWCOlXNLodjDpwtd54MPXeHDA13lwwNd5cNCM15lLBDEMwzAMwzCMAhvIDMMwDMMwDKPABrLHNxvdAKYu8HUe+PA1HhzwdR4c8HUeHDTddWYNMsMwDMMwDMMosAeZYRiGYRiGYRTYQGYYhmEYhmEYhUFvIAshThBCPCOEeE4IcXmj28NUjhBiihDiTiHEU0KIvwshLnbeHymEuE0Isdb5O8J5XwghvuJc+8eFEAc29hcw5SCEyAghHhFC/NZ5PUMI8YBzPX/i5GKHEKLNef2c8/n0RrabSY4QolsIcbMQ4h9CiKeFEIfy8zywEEJ82OmvnxRC/EgI0c7P8sBACPEdIcQmIcSTyntlP79CiLOd7dcKIc6uV/sHtYEshMgA+H8ATgQwH8DbhRDzG9sqpgoKAC6RUs4HsAzARc71vBzAHVLKOQDucF4D9nWf4/w7D8DX699kpgouBvC08vo/AVwnpZwNYCuA9zjvvwfAVuf965ztmNbgywB+L6WcB+AA2Nebn+cBghBiEoAPAlgipVwIIAPgDPCzPFC4EcAJ2ntlPb9CiJEArgJwCICDAVxFRnXaDGoDGfbJfk5K+U8pZR+AHwM4pcFtYipESvmKlPJh5/87YQ+mk2Bf0+86m30XwKnO/08B8D1pcz+AbiHEhDo3m6kAIcRkACcBuN55LQAcDeBmZxP9OtP1vxnAMc72TBMjhBgO4EgA3wYAKWWflHIb+HkeaGQBdAghsgA6AbwCfpYHBFLKPwN4XXu73Of3eAC3SSlfl1JuBXAbgkZ3Kgx2A3kSgJeV1+ud95gWx1l6WwzgAQDjpJSvOB+9CmCc83++/q3LlwB8DEDJeT0KwDYpZcF5rV5L9zo7n293tmeamxkANgO4wZHSXC+E6AI/zwMGKeUGAF8A8BJsw3g7gIfAz/JAptznt2HP9WA3kJkBiBBiCICfA/iQlHKH+pm08xpybsMWRghxMoBNUsqHGt0WJlWyAA4E8HUp5WIAu+EtxwLg57nVcZbKT4E9GZoIoAt18g4yjafZn9/BbiBvADBFeT3ZeY9pUYQQOdjG8Q+klLc4b2+kpVbn7ybnfb7+rclhAN4ohFgHWxZ1NGytarezTAv4r6V7nZ3PhwPYUs8GMxWxHsB6KeUDzuubYRvM/DwPHFYBeEFKuVlK2Q/gFtjPNz/LA5dyn9+GPdeD3UB+EMAcJ2I2Dzs44NcNbhNTIY4W7dsAnpZSXqt89GsAFPl6NoBfKe+f5UTPLgOwXVn6YZoUKeUVUsrJUsrpsJ/ZP0kp3wngTgBvcTbTrzNd/7c42zet14KxkVK+CuBlIcQ+zlvHAHgK/DwPJF4CsEwI0en033SN+VkeuJT7/P4BwHFCiBHOisNxznupM+gr6QkhVsPWM2YAfEdK+bkGN4mpECHE4QDuAfAEPG3qx2HrkH8KYCqAFwG8TUr5utMhfw32kt4eAOdKKdfUveFMxQghVgD4qJTyZCHETNge5ZEAHgFwppSyVwjRDuD7sDXprwM4Q0r5z0a1mUmOEGIR7EDMPIB/AjgXtmOHn+cBghDi0wBOh52F6BEA74WtMeVnucURQvwIwAoAowFshJ2N4pco8/kVQrwb9lgOAJ+TUt5Ql/YPdgOZYRiGYRiGYVQGu8SCYRhmwCCEGCPsohodCbYdJ+ziG231aBvDMEwrwQYywzBMgxFCrBNC9AkhRmvvPyKEkGrFMCHEp5z3DjHs6nIAN0ope5xt/0sI8bIQYocQ4kUhBC1TQkq5EbbW87w0fhPDMEwrwwYywzBMc/ACgLfTCyHEfrALJ0B5TwA4C7b+8iztszbYQS83KW9/G8A8KeUwAMsBvFMI8Sbl8x8AOL+Gv4FhGGZAwAYywzBMc/B9+I3eswF8T9vmCAATYJfnPcPJvkMcArvAwnp6Q0r5jJRyt7JNCcBs5fUDAGYKIabVoP0MwzADBjaQGYZhmoP7AQwTQuwrhMjATmF3k7bN2QB+AzsKHADeoHy2H4Bn9J0KIS4XQuyCnVe4C8AP6TOnGtlzAA6o1Y9gGIYZCLCBzDAM0zyQF/lYAE9DSYgvhOgE8FYAP3SKKtwMv8e5G8BOfYdSymsADIVdZOP7sMvzqux0vsswDMM4sIHMMAzTPHwfwDsAnIOgvOI02Llif+e8/gGAE4UQY5zXW2EbwgGkzSMAegB8Wvt4KIBtVbecYRhmAMEGMsMwTJMgpXwRdrDeathld1XOBjAEwEtCiFcB/AxADrZBDQCPA5gbc4gsgFn0winXOxvAY1U3nmEYZgDBBjLDMExz8R4AR2vBdZNgl+E9GcAi598BAP4TnszibwC6hRCTAEAIYQkhzndKtAohxMEALgJwh7LfgwGscwxzhmEYxoENZIZhmCZCSvm8oUTyEQAelVL+UUr5Kv0D8BUA+wshFkop+wDcCOBM5XunAXgets74JgBfdf4R7wTwjZR+CsMwTMvCpaYZhmEGCI4e+R4Ai6lYSMS2YwHc7Wy7tx7tYxiGaRXYQGYYhmEYhmEYBZZYMAzDMAzDMIwCG8gMwzAMwzAMo8AGMsMwDMMwDMMoZBvdAJXRo0fL6dOnN7oZDMMwDMMwzADnoYceek1KOcb0WVMZyNOnT8eaNXp2I4ZhGIZhGIapLUKI0BzwLLFgGIZhGIZhGAU2kBmGYRiGYRhGgQ1khmEYhmEYhlFgA5lhGIZhGIZhFNhAZhhmUCGlxB1Pb0SpxFVEGYZhGDNsIDMMM6i49YlX8J7vrsF3/vJCo5vCMAzDNCl1MZCFEBkhxCNCiN/W43gMwzBhbNzRCwBYv7WnwS1hGIaJ5rv3rcP6rXsa3YxBSb08yBcDeLpOx2IYhgnFEvZfKVliwTBM87JlVy+u+vXfcc4NDza6KYOS1A1kIcRkACcBuD7tYzEMw8RhCdtCZgkywzDNTMHppLb39De4JYOTeniQvwTgYwBKpg+FEOcJIdYIIdZs3ry5Ds1hGGYwQx7kEnuQGYZpYqiPyjiTeqa+pGogCyFOBrBJSvlQ2DZSym9KKZdIKZeMGWMsh80wDFM7nMGGzWOGYZqZQtHupSy2jxtC2h7kwwC8UQixDsCPARwthLgp5WMyDMOEwhpkhmFaAZJYCPYgN4RUDWQp5RVSyslSyukAzgDwJynlmWkek2EYJgoBx4PM9jHDME1Mf9FWplqckLch8GlnGGZQwRpkhmFagb6CYyCzB7khZOt1ICnlXQDuqtfxGIZhTFD2CraPGYZpZlwPMhvIDYE9yAzDDCoKJXvQ4TRvDMM0M54GucENGaSwgcwwzKCCIsM5SI9hmGam35FYcJq3xsAGMsMwgwrPg8wGMsMwzUsfSywaChvIDMMMKvrJg9zgdjBMPfnVoxvw3KadjW4GUwbUV7F93BjqFqTHMAzTDJDEgjXIzGDi4h8/CgBYd81JDW4JkxQO0mss7EFmGGZQQRKLovOXYRimGeE8yI2FTzvDMIMKWrbsK7ALmRkclHi5pCXpd0tNswe5EbCBzDDMoKLgeGUoAIZhBhIvbtmNa2971pelhe/11qBUknjoxdfd1+RB5lLTjYENZIZhBhWUW5RSKDHMQOI9312Dr9yxFuu39rjv9bOB3BL875//iTd//a/46/NbAKga5Ea2avDCBjLDMIMK0iCzV40ZiOztLwLwV4qkpXr7fZZbNCvPvLoDAPDKdntyw6WmGwsbyEzd6SuU8JnfPIVte/oa3RRmEEJZLNirNvB4+pUdWLtxcKcyI1tKKokM+5TVkl29hXo3iUmIPnWh1S72IDcGNpCZuvPrx/6F7/zlBfzn759pdFOYQYgXpMcG8kDjxC/fg2Ov+3Ojm9FQyNtY8nmQvXv99d3smGgV+tmD3FDYQG4AL27ZjZO+cs+g7ahoCZBLNTCNIG2JxfaefvzmsX+lsm+GiYOMKTWNoXqv97j9L9OskD1MExseKRsDG8gN4Bt3P4+//2sHfvfEK41uSkOgLAK5zMC+/R5+aSue+teORjdjwHD7UxvxoR8/UvV+Cil7kC/92WP4wI8e4aplTEMgX6OaxlD1IBc55VvTI5yr2EdFjfiaNYSBbaE0KdRBZQapsIh0VdkBnv38Tf9zH1Z/5Z5GN2PA8N7vrcEvH63eM0vGQloa5E07ewEA23tY68nUH937CPgng2wgNy96/CRdwyIHVjaEgW2hNCnUb2UGqa6Ilvty2YH7+1nf2rzQBC2ta5TPWqnuv5Z87ObHcMjVtze6GUwNIYmFaiCr/y+wgdwyuAYyX7OGwAZyAyg5s0FrkHqQ+52lv/wAlli8uGW3+/9W7Nw++9uncO1tzza6GUaqXW70PMjpXJc2MpBbIEvGT9esx8Ydvdi5t7/RTWFqBPld+nweZO9e5+X65oWujN5HFVLqq5hoBq6F0sR4EosGN6RBUJDUQJZYPLdpl/v/TTv3NrAllXH9vS/gK3esbXQzjFTrASum7EEmA7m3BYKhss4k/aEXtza4JdXDhp+N50E2V9JjD3Lz06+lomxFJ8tAYOBaKE3MYNcT0cOfzQxcDzrpUAFgg1LRiqmeQqk6w9YN0iuWUimakG8hD/LssUMA+Cd0rcreQvNPSOpJQZVYsAa5JaD+qM+5l1mD3FjYQG4ApQgP1pZdvQM+80G/m8Vi4BrIaiqlf21vPQ9yM1OtB6y/pGozUzCQM62jQSZvYysY83Hs7W/931AL4jTIbCA3P9QvUUpUvmaNgQ3kBhC1xLv6K/cM+MwH5NkYyJPivYqBvGVXb8SWrcuGbY3xjFerx1O/n0Ymi7ZsBgDQ2wIGMsVD9Bda/2Hk/L42pFzrC5FYsLHV/ND12tNn39PVrpoxlcEGcgOgQck0gG7cMTCNKRXquAeyFm5vfwlZSyBjCbzW4gbybkNp2rue2YTDrvkTfv/kq3VvT7WDRVj6q2r5zWP/wpp1r7sSi56+5jfYyFgaCANwK5zveuB6kAvm+3wg97utjh6kR/f0AHg8WxI2kBuA60GO8F6loY1sFsiDPJCDavb2F9GRz2BUVx5bdnkVEzfu2Gs0OJuVXzyyHguu+gPWbvQXvXjkpW0AgKf+tb3ubarWA6YaCLX0IH/gR4/gLd/4q2cgt4BHsy/ljB71ZG8LnO96QMI1v8TCu77sQW5eCu7zaP/dXQcP8pZdvXh+c+vHIKQBG8gNgPqqKO/VQNAEhkEP/0D2ZOztL6I9l8GoIW0+D/Lbv3l/02aHMHH3M5sBAI+v9xvCdH+SMVhPqpVYqIZDGjIIKgC0p6/5J0K9/ekWTaknbCA7kAc5ZCLIBnLzQjYBTWh6nD4kzWv2hq/ei2O+eHdq+29l2EDW+MUj6wPeslpD6Z+iDORW0C9WCgXTDOSO2jaQLYweksdrigd5y+4+bN7ZOpKLjnwWQNAbSvcu6W3rSbUTq75CKdVME3Rf9/Q1/zNMv78wIAzk1v8NtYDS66sSC3+hED5PzQoZxtS/ehrk9MZKCiJvpZXNesEGssIT67fjwz95DFfc8kSqx9mbwEAeyN4QSsc0sD3IJXTkMhijeZCLJdlS6ag6crYBrOs7e53f0BgPcvUa5CFtWff/tcY1kPubf8BxPVYNfhZ/+MBLVQezqpO4gSxRi8OUxUJ1uJSkxK7egvsMNyNfuv1ZnPjlgR2sboKexz5Ng7xtTz++c+8LqR57nVLcirFhA1nhN4//CwAwsiuf6nGoI4/yXvU2iTfki398BnOu/B0A4MkN22tiUNBDXxzAnoy9BVtiMbIrj9d3ex7k/mKppTxdHXm7i9jTZ/Yg5xpQ7abaiVVvoYSuNtvwTyMVm+dBrr0B8tS/dviqNFYLGUn9DVyxWrtxJz7+iyfwkZ8+VtV+VKfCQF6disP1IIeVmi5KLLzqDzj9f++vd9MS86Xb1+LpV6pLd/rTB1/GYdf8qaUmS25MQMHO0b5Huac/89unUjnm6CFtAIAXt+xJZf+tDBvIClRulWbgadGjeZD39hexbU+fb5tmmd1/9U/Pob8o8eKW3Tj5q/fiszV4SPcWSGJR9a6alr39RbRnM+juzGFPX9G91oWSTG11YPuefky//Fb8/KH1NdtnZ4zEotSAwada46e/WEJXvrYeZNWrTUn99UlFLVj9lXtw1H/fVZN9lUrSK2XbQINyx17b076tJ7rc9b1rX8PLr4cP4uqEpFVWp3bu7U9Nq94Xks6Qnp9HX96WaD97+gq47rZnW06n/rGfP44N23pa5l4AVA1yCX3FUl0mehOGtwNgA9kEG8gKNKDtTjm4hrSJ9DB87tansegzt/mqWTWbl5Eqw933/Jaq99XnGsjN9RtrSU9/CW05C8M77dWI7T39kFLaEouUDGRaIrvxvnU12yeVTdbb3Kt05PUm6TGllMYUe30FT2JRK62/up8iJflv8jiCPoOHsaeviHvWbq5rOygmoz1GrnPmtx/AsdeFBxPtVDSUrWLM7fepP+KI/7yzpvskg1CdtKkrJeVWZfvy7Wvx5TvW1nTiXU9aoWAPQfdtf1G6E758yqt0lrPkMJBlnZWS6pkXQkwRQtwphHhKCPF3IcTFaR6vWlwDOWWxOnkMep2HgWbytz7+irtNs3iQiV2Ol4fO0Z3/2ITte6I9PmH0DQINcm9/ER25DLo7cgCA7T197u9Na/JDwTeURaEW0Fiqe7n6GmggJ/Wq3PzQeiz57O14coOXgaNYkihJoMvVINfmHuw1GCB9TfYM65gM5E/+6km869t/q2vpadLkt+XCAz5LCZ6dHYoHupUkFlt298VvVAb022uV5o36/FYNHG8lA5meyb5iyU3xlvYqXSNXAwHg2Y078b7vrcE/Xm2+CsJpe5ALAC6RUs4HsAzARUKI+Skfs2JoxlbJ0ujDL23F9MtvjR1YSiXp7p9uzOGOEbVHCeppFg8yBWGRJ25XbwEPrnsd5974IK67/dmK9kmddSsNYuVCad7o2m7b0++mJ0trpr67195vLQ3kghtw5r8fG5k/N+kx7//n6wCApxQtIz1z5EGu1eCpTmijSsk3E2qcA92ba53+a8feyia/lbCrN96DvCvBqp7a5oGQ17lS6Fr2a5X0chnh+zwpKSsOI6mFfriVUqb2K44HSvGWtiOpt8EOqxde243bntrYlNU8UzWQpZSvSCkfdv6/E8DTACalecxqIC/Zrgo8yL9+1A7wu/vZ6OVJVXRPAygdb0+v91m9lzv29heNnnPKYkCpyvb0FXDLwxuqOpaqxx2o7O0voT1nobvTM5D7S57mnKilp26n4+Wv1kBWB6WCu/TuvzeSZGJJi6QTq7ac3b2pni8aLClIr1YecJ+xWQqvlNlM+DzITpvJGNLtkq/esRZ/+sfGVNpBsR/tER5kWsGKYkePt81gTmVmKkTVXyi557dST2Ejgt1qMdFp9omqiud4KNUkhqG/WMLVv3vaFyiuQ32XWrhr885eTL/8VvzuiVfCvlYzNu6w08yNG96W+rHKpW4aZCHEdACLATygvX+eEGKNEGLN5s311b7p7KnCg+wNLNEP9B7FCKUHlwzTrUqgXr0H15O+cg8WXPWHwPvtOb8Hub/o6Tor7TDJKBnIHuQex4Pc3eFpkHVt6i8eWY9V194dO6lKCnnQMlW6fNTrQh22/kyQt7oREoukxg9p99QBkv7fVWMPsmqMeBKL5h6Y1faR54oClPVn+4u3PYt337gmlXbQxK4twoO8M8RAvvOZTXjDV+9Ff7HkGtpA9cVk6oEqqaslNBHv1yaG5OxoJY9qORMdKSVuuv/FgBys2SeqKq50rSBrYiDf/cxmfPPP/8RVv/57+DENhbto1e1Hf3up6jbEsXHHXmQsgVFdg9RAFkIMAfBzAB+SUvqEJlLKb0opl0gpl4wZM6YezQmFIvUr0SALJDNKdis3vVtO0mAg19uD/Pxmc+ooz4PsBTtRu3ck8OqY8IL0mn8Qq5S9jgZ5OHmQe4IeZPLEb3Jm0NVCGsxqPchqR0lt1TtrulejDOS3fP0+7GeYdFVLUuPH8yArqzZFTWKRgge5ZPDg1ZtiSeK+51+LvLdUA5kMEbp1wtr+q0e91aNiSbren2ogwzabCb9vd/WaJR8X3vQwntiwHVv39GkSi1JTBx3t6Svgoh8+nMq+zRrkEjrydl9ebgrRBiosylp2v+uZzfjEL5/Ef/3+Gd/7zT5RVXFXn4qlmrSbJJJbIz3IlHZVcYzUMY3nq9t7MXZoW02lgbUi9V8vhMjBNo5/IKW8Je3jVYMajFBuMYKwpUkd1fimQYgkFlt3ex18s8x6aVlui1INjgyUnWXqFPWlv4FqIEsp0VsooS2XwdC2LCwBbNvT59MgSynxj1ftio16CrVKIQNBorrzWvQZyP6MK/Z7RbzqGEZRS6BrXtzqyyxQDT7ZR1KJheZBvvOZTfjB/S8CqL0HWTXC3UGugXEEP/rbS3jHtx7Af9z6dOg2apvpOtJEP6ztF//4Uff/1972DA65+o6qjWTyDkfdS+pkXO2b6dkplfwSi188sgHz/v33AQnTyV+9B5f+rLp8y7UgTb2lq0H2GTzSdXa0UqGi/jI8yCQj0PXzze4xf+jF110DtqBU0qOVqHccMhUAMH5Ye9n7pklRlGy01+Cwon4x7QwaALBp516MreC31YO0s1gIAN8G8LSU8to0j1UL1Dyau8tc3qC5T5xxQgby0LYs+pxk4HQsVSfUKO+H7hFs04L0AK/DMXmQ+4sln5aJePilrZj18d/hgX9uUZZ0mrvjqhQa6PMZAcsS6Mxnsaev6HZAJWlvQ0afOvmoBjIQdvdWd++YPMjqILNhW487EazX4KO2qdz7hoyoc294EP9z1/MA1CwWtU/zVisPcn/RP1EvR9JEEeG6dlxFHQTpPNBEP6r/oXbc8fQmANXfv56BHH6+VA1yWL+zY2+/uzLwm8fsmJC1G3f6tntyww78rAnSlaX53LgeZE1iQVlCKp24NcKdUY5Uhp7Btqxfy97MHuRiSeLNX/8r3va/fwXgTQh6C0W3Hzl9yRScumhiRVVL6V4IWxUnZw7gT/9Hz2KuDpVSX92+F+OHNZ+8Akjfg3wYgHcBOFoI8ajzb3XKx6wIKSV6+osYPcTWjJYrs1A9yA+/tBX/3GwOviIvdXdXDn2FEnoLXjJw1QhtlAdZD4ahZPNqKiLSeO0wJPafc+X/4dKbHw+8f+/a1wAAdz272TWuknqQv//XdTjz+gdit2sWKAiG8kvmMgL9xZLPAOjpL7rXeOue2hjI5NF/9OVtVaXM8XmQqfSpcj++pBRrqFcFNlOhgzgojeKuvQW8ut3v5RxS40p6qje2VhrkY6+9G4s/c5v7upyApRdesyVTUafK02NnXEOENMi6l7Eta7lZELY7z713nydulhEykKPOl6pBpqJK6kS8t1DCjp5+jOiyJU208tGMy7ZpO/KuAAAgAElEQVRAutr9gkliUSihLWMhY4myU4iKBqaxKOc80aSuLWv5ZVVNbCDTGLp20y4US9JzPCh2QcYSyGassle1Ae/8hemZfbETataTOnqQd/cWMLQ9l/pxKiHtLBb3SimFlHJ/KeUi59/v0jxmpVDVGiq7WL6B7AS3ALjs5sfxxdvMKdCoCMnIzjx6CyXfcUyeu3qzaWcvLv/54+4gRA+YKqegwUoPnKEH+ucPBz00Bdd7Wv5S+b//6u+497nXkv6EhkPnIesMzvmshb5Cyfd7e/uL7opFrfKgblcmLCd86Z6K96N6aE3ZKqiaWXvOSj1Ib91ru3H3s5t9xmFSrxK1eefeQmDCUEklvT8/uxl/e+F142eqV46uf7W5zNdt2eOTqJTjOV/32h7nO/5zdcvD6/GMI+2hwbEzn3U9V2Ts6mkmS1JiYncHALjyGtp1tZVH3XLXUR7k3mD/oxZ06nfyxo5wCvPQqkGUrrmRpGm00X2iPjP9xRJyWYGMJSpOIVqvJBZhJbLjcD3IOcu3itZXbF5JieocUZ/v3kLJm4AKYTtZKpAk0vnb1VvA9h670uof//6q7zje8b39kxNM91oXiiVMv/xW/O/dz5fdljAKJelOvpsNrqTnQMYKpeUq14PrSiykbVyHFdEgg7i7M28nAw9ZDu9JoUxtEr597z/x4wdfxlf/9BwAtRy2dz48A9n/G6MqEFLVPNXrU64GuRmqYy27+g4cF1HNC/A6GjIcXANZGbB27C2420UFUJTD1goLt+gUDRM11dNA13/0kDb835OvYtPO2gQZmljxhbtw9nf+5rv2SQ3F3oI3udMnnF1tWQhR3nN+1nf+5i6Fhh1LCDVIShrlRkkwySmS6lb39hexYVsPgGC1yo/89DEc/6U/O5/Z+2tTJjqkQdb7n0JJYpJjIG/cYa90RaULk1LiC394Bi8lKF9L5y7sWvQVSrjutrXua/KGFTUPcrGk6Gz7KSd444a4L/7xGaxZZ55QpdmXkSdQLwSTy1jICBHrfPnHqzuMVfPqJYlTYzLKSQVKE622jOWP9WliD7LaZ6sa+t7+IujyZSyBrFWZB7mv4Eks6Fm8VnHe+YKLleeZZJ96Zhnq+//fnc/FHltKmUgWVijJpl3pYQPZgTpdKuxQaY7eQrGEvYVSaHASGcQjOm2JBYnnR3R6SwyjuvI1r66UFHpITZHQBBnGO3sLPgMgKlcpnU91d+UayGGpnurJqzv24tmN8cVgAG95N5ex0Fss+QYYVW8elaOyHFRvxMiufMX7UQ35XkOQHn1uL9eWcO4NDwb28dymnYH3qsFvIJfvQda9ZvmshY5cpiaplNRj5SzLmCavXLYZJjtJA5bU70Y9Y/RZe9aTWLgaZK3wiZRwPcgUlBcllXr59R587c7ncN7341PDxVVlfHHLbp/RRN4t1UPqLq+TztZNW+ftJ808vs9u3BmQ8Xz1T8/hLd8wT6jS1CCbSk33FmwDOes8s1Gc8KV7cIkhkLHanMS9hWKi6quqAU/3xs8fWh8rG6PflctYvt/YLAHvJrYpffYr2+1JbT5j2SvakvpZeyWkktSFNOYUStLtP9Rx1BRcDIQH9dH7UVUvibO+8zfMuCJeMFAolpBt4EQ2iuZsVQOggZK0MOXO1mj21Vcsobe/GJrhgTr37s48+gol9zVJO4a1ZzF5RAc27+w1fr9WSCkDHToA7HSWMmWEjpI6Sin9hU+iImXJq1GJxMJtWx2re1UDdWyuxCJjob9Q8g0wqlFs0nJXgrrPKSM6Kt6PX4MclFj0F0uwhDeQvbp9L37+0Hp88EePuNusuvbPxv1VSqECiQUNjHsLxYDXLJex3ODJWkADTTYjAp7NSnh5a9Dz6pskRPRP23q8+6AYsWLjGsg5K2D8qBMKup+pj6JBvegaYsHrQQNzkom+ZyCbryudw0uP3weA11erE86efrPHS+1j0qyud9x1f8ayz9/hvo4zxtP0aqorGER/sYR81kImE+9B1vdDVNvmM69/AAd85o+x25mK7lzys8diZWM97n0hjbnPmxF/YL4XE9Bb8ILdbYmFVVZGD0LtM8iBpY436rlRnV3kgdcncpQhJCpnOXHP2mSyyGJJumNls8EGsoNegrbczpS273UC78K8qT39RWQtga62jG1MO8clacfYYe0YM7QtdQP5xw++jGWfvwNPbtjue5/aTb8+rnNRhf1RBrJXXUwJZirTcFKXoJoZ+l0UpNeWtT0CqlFDHeOIzpxvklEpdqGEAj68ai6OmDPaF5FcLup3VYkFDfq0XEurIUPas7jkZ4/h107mAJ1aDFB9FXmQHW1rQQaMgnzGQmc+E5nloRzoOc5awnf+Kv3tpsmrKrGI6p/Ig5yx/Ma63hZqZ1s24w6ktE1vf/A5pcBGGshpsmtaeicjNokx1qcdW4fOLemLyamgGuZ7nePp1fh8qyF1TG8Wd4+maax7GmR1UiuRTyixIKg/p/1UKwt5cN3WRNv5JBZl5APerbTXlPu8WfjZmpfx+d/Z6RfV1R763Z35LKRUZUICWasyD7LaZ7jSyF7Vg2yWrtG118897aOSjBphFEoSGdYgNzdewEplJWjpRtvda2tL6Ub6/ZOv+Cqlkd4mn8mgWPIGbpJ2dHfkMGZoGzalYCB/9rdPuZq4+57fAgD4pxPtTiJ50kQlTeOlzmrVSYFezYgGWV8+03IN5FbxIJPEQngSCzUqGQBe321f31FD2mrixSR5xciuHIZ15KrSsJvyIAOKIVMsIZ+xXM350Pasu43Js1kTA1nZR7FkZwT5l6OzDYOeyT5H9qSSzwp05msnsaDznc9aPk9MpYOzKTe2+qxFnVMadEd15aMNZMWDXFCuLeA3bGm7vJPJgj6LkliQsZLIQI6RWPS5BrLdR+5RPIXE/2fvvePtOqqz4WfXU27RlXQlyyq2LFuuuIExYIPpBpvijxAIJQk4hEAoSV7aRyhJSAKBECD0QMDECR3eQAKYarDBvWBj4yJbcpEsS7rSla5uOW2394+ZNbNm9uxzz72SQflF6x/L556z9+zZU9Y861nPov6qO5KKyH6Tofb5nJlHioOc54VKnuRjr5fmiAJP0aIGscU6yPM5tfOh63zMJFkxcORw1nCQD10E+YpNuxWY4CoONiQPojTOfU+qWOSDcXq5Gfuzo9hO11hX9edz1rsn01Uv56dYDGrpYQT50De7BO1CExLo91+6XpRmbCcZ0izHa7/4S7zikhvU97JMDAY6gdGkJsfxtLVjWDFcw9657kEtpJFmOT531f348V27AGj0h4YlIeck4VVATMaqDZ4cat5GjiDvsBAwmuyc/2QnEM1nvymKRbuX4YE97sqCZP1C3FyeB9BJeonhIItnGR+OS87zYoyKzCwditGIggNykKtQN0K90qxAFPrKQaKxA7j1w7sHIYu8bW2ar/vSL3HO+3/at984f7qMIAdoxMFBK9JCUQDP8wzHbbGbs8uJ4ZtVP8d7f5sOS7GpnGK9B+0gB2psUp91HGFu3/NQj3SfKYqF4x3QfB8EKaU+qkaQKYGaEGS6f5liQQAHWWIc9n5zCPJ84XD7/R0sfrRJKTFpUXEoOMiD9gNVYVSFRwZEMM//yM9x/Lu+X/n3Mp0nU8o4rnYPWrFVO8jFIe0gi+T86uq55IO0GYIc+eX9dhDjMpwcrXapE/H5pOev7SAPTrEg67dXFkUhKRaHpit6aLbqt2A0EDSCvFCKRXkQuBQqFIIsBxh95wVnrsGZR43hjU87DitGasgLYHLu4KHIdB+V3Ssfj5QW7E2uKGDoMtpGoUyD2M8Wss9fdb/xfUKUaYLFoY9BQRTqq98UxeIt3/wVnvJPV/TdSPryrR0Osl30QSHIsv78gTpqCkFuxoI6cADXq0SQGdLHZXn4GHHJIx6MDarF5lKWF/jxnbtUW6qsx5Avuz+iRwhBzvPC4iAv7vpdF4LMwqX9HGTaCMeHa2ZbLCk6w0G2EWQrSQ8Q9JF6FJQpFo61sp+ijW3UR1XPRONnpB4i8D2GbjEEWfb/cSuHsX55U31+qCLI9EwXPGoVgINHueDvm7ehJ2lRvoUg93O4XvCpa3D/njkjcjSI3TcPuGBrbL/jP2/Hk/7xZ+od2mH/QXM0Zhlvls+fQ8FB3t8SEmtfvO5B9FIhSWjnAdHzE+BAeybpIAPVUdc//eLN+MLV95c+N/JeWuW8F0Nfnl26W3FoXQzFot9eZEuiHmp22EGWphBkqY+6UL6PaxJySsA1Usc3ywuEgc8cZDHgHnfMMnzrdedi6VCMUUm3OFjJW4DesMjRoIp/NC6TLDeUDwr0XxBJTolvQMRtOn3tEtxhc5sJKZfP1IiCgRFkEiv/TVEsrpX0kwcmqxf6fooaOvuYqVhYOsh7KQw+bPIqF2vkFI02ogNWZ+DRk/2OhI6elXU83YdaAyzOMdm5v2PMKX5ds7pc+bffve1h/PjOXYa+rl09LA58NKJwwXrnVUabW1YUyItCjdkDRZC5xDBHJfsVaJlqJ4gCDyP1sFJRY7qdGBQLOhBrWcdydnsQCOUP+htd2hVt4/06aMJaJcVCfh6HvnGoMTjISvfYx2uffKxuu0OR5Tdh8yV5a0BmcRHLKrOTafm/Y4eKxXy0iXt3zWiKxUFyNG3g4XqpLU55N2ZyYWGstf1kE2kOJmm+oGd8//fvxl//168HbP3i7KEpgZB/8boHkciaC900x479HQxJUM6OgrR7ot2kgwxUP8v3f70T7/nOnaXP+Zzfyype0l5K1xP5Cuxgog5FZn8vBkHu5yDrteWwg3xIG02oZo2Q0QVSLBwDl6OML5OV4LJCIMg1uYGS4xqxijU0+AZ1LDZPzOATP723r4QObVh0P3o8TznIBUYZl7Qoir6bO01i7vTRPVaM1EqTwqZYNONgYA4yLQ4H88DQz1bIbP0tE9UOsu2sf++2HfjcL+4DUJZ5i1WSnn5e0j4mZYDPXHnfAbWZxmsc+mjEZhb0Qq0KVeJqAxxB4Ny2WUfUZKFOYifJ8Ph/uBzv+Nbt6jM+njh9x5WM+IYv34JX//tNRntLKhahj6HawadYZHmBNC/QiA+sUh9P+iOzSwdX2VQrwZJG3DdJb1+rZyTpAWZyU8dR+CTwPNQjXzki5Pi6Ochclq1/H8+bpCfbUgt9DMWhTtIzCtrojX6MSWbyQ4WNXD6SNl9RB3JMiG86qMb1fEYqRENxUFJyiENfFgoZPIGty/TbD1pZduugMj4i1kAqQGM7+Xyt3d9nD6DnsjnIH/vpZjzkUIUhu2XrPlx3n1uv+mAZDcPA99TzzXVT7JruYN0yEfHQKhZEsWAIslwHBgXufr19P75728PmnsMQ5P1tMwpTD015Stqbe9acof17IYygfnS/9DCC/D/DaKEgBHmhG5vr+y6U0eYgk1PJHQ7asAZtw6suvQn/9KN78NNNuyq/Q9xQ2qy43BqFWwm5BsQEoD4hh73BMsSJYmFzkGuhj5F6VNKdpeekPhEI8mCzjPph2z4zKUvUkT/4mx6Vq908Ua13bNM9Xv/lX+Lvv3eXUTGPkvRqAVXS4xQLsVgRgvz5q+43eHgLNU7roPe0WOev6uBCFalSi2KxZ0YvvHOWNjag39++uR6+ftO2ee9PY/Qnd+0qfQbASGC1i1WQRi9gJelZfdGMgoNMsdD64TkrWLHYsD6114Pu50G5zdPtBKONsK+iRjvJ1HuqRWJ+Jyy5ygy96k2sEQXK0aS+t+kBt26bwt9+V6NZ/dqa54X6fRXNoBJBdiTpBZ6nuMrAoYsgU5/QQWoxEl4uo/V12XCs+jOTiXsRlZrm/PJ5HK7dM11GVVq8E8+jCPa6tEKugeQgm3KGhQGMcJqAbbTnJHl5X+jnAPey3JBGJPvkzzbjeR+/qvJ3CzEeVaT+3DvXw75WgrVSkpP6RVMs9JgOJIDmGicuIOTSax7Ae75zp9GXXHKRDh00TmvWflwlvUjRwoX4R30pFhmtLYemK3potuq3YITO6CQ9M3xny6HZ5howrqxRm4NMiBtHkOlvgw5Ccqz6bQAKQe6aMm5JVqhJNMrqoffYZkna0EuYA00OMp+Ac90Uw7VQoEyJ++Spss2jYODTMCkQ2A7ru//r1zjhXT84qMmMgHZqXFq0ZFUJg7dumyrJvEUBcZB1OycVB1lv5v4BnKLTTDsxzfjAHOSq/uwy5ykKfPzkTeeV7jPXTUuoLm0Ib/7Gr/C2b942bxEROkgEjF/AQ/ZcAtHeHG7ZOqXvy9prH9hCSbEYNJlxPpoAT1zLikK9gwNFkA0H1wqZ92tLMw7gW9JQtqoBrXH1kOhShfGOyWgT830PNZYASl1vj5fL7zIP6v0OCXabnN+Rn8eBj2YtcCYQ8dLSBoJscJDLvOpHyrhj4boXha4XS+mrMuUgD9VK6hPCQfYHHkcAsHu2W+KnL8Z48q59WKU8jF3750eQ++WF0BhI0jKlqt+BJclyZ2GeD/5wE27fvn+g4ibzGdEXOIK8ZbfYz9YuJQRZy7wBTMXCh0rSc40T1zrfkVKz/P1OtRKlOKQ4yGoNqEKQzX6j3JnuAsZCPxCC1vpDtST8YQdZmi3zxifU2755G5778avwqSs2V4cBHQPGnnQiYzMXCHJgIsgckVsIxYLL+vRb7GaVg2yGR3tprn7HHeBuoh1kol40WIZ4w4Egd5Ic9SgQiTzWpJiyTv6NOOhbqpYszbTCw+aJWbXZZHmBL163VT3DwTQK4/WrDGgvSseuGAIgQls5Q9wAVmraERJe0tAO8oFs2hxBpsPLYpUsKhFkhcgKHv1xK0ewQT432VwvrSwwQI5tVXl1MqWWwRHCCgTZvhc/eND8KQp30phAI9OBFATmO4TxyEyWaYrFgSbpZUzayaBY9BnznSRDPQwEglyBOieZTtJTCHKeG++YrIwgi+/QeLXpaOuWNo3/79cHOnIXGFrbrt/XogDNWPPGjbWHSWIt5QjyPJKFg9qFH/0FXv6565x/c81b3ieusUfvcrGyolVGB/dlzUjJgukKc14plG2PI7sdE9Pdg0KxmDGcXPM6NFcUxSIzxymP1vWbh5xiQdcgmlu/ugJJKvrIdr7Jmbx564HTL+iRAk8jyHc8LCoD0hqqVCxiu1w6S9JzOMguB7SXZmgnmeFDzHZTRR9UDrL8e91CkFPrcEX28FT5EDOf2b4ANzuh/VCzww6ytF5pwdKD5dr7RNLWP/5gEy5xZIp+8meb8attU6XP98yakzLJCoeKRZmDvBAEmfOK+jnUxNtTHGTmVNOzjjY0B7mbZurzEek4c4e24einTpKhEUsHmW2KV2yaKMl/DcpBps14w4ohtJMM26X27U4WSj9Y4UkyWjzsjY1v3nboid5fJ820LJYt81b6jac4iMDiy5sD3InxFQKxeARZ9OdLzz7K+FwhsmmOWB7o7A13rpuVnqObZpiY7uB+md0+33O6wvy8mAqfV/alCDnyGVIDuPnr4pA22EF0vjarJD2JIA/X+r+DydkuXnHJDZicdW/cLg7wLWyNeXh/tQZ0W87DwPcNBNoonsCkBQlB7iYaVebOOI0H3xcc5I5F07I3bTvDvS+CbEXuXGF8A0FmCi38vgpB9j3joG+qWOjnX6izd+eOaVy9edL5N9fY4G1zHQg1IEPPfZApFhKV5RHCWuiXolT2fW1na2Kms+hCIdzh4nRD2xGl7xHtzChrn5sKNFXzMM959KNQ68A9f38BljQi/OjOXZUJufRcNqB1whEjAIA7tvcvcT2I8agi3e8mWTjllNVLAOg1ZMimWPgsSc+x17mAEOpDDky1e5lKxCeqBB3kalFgrBU0D+2DJGnP29zkftZvHyIEOzpMsTi0rbxQlzcoAGg5JtkXr3vQec09syZqStmroe+XdJBdDvIgGzd3FPuhIkTlsDnIwkEuUyw6iT5R04bD+8GFILeTDPVIZLonWYE0yzE528Urv3BjqT2CYjH/81EbTl0jFhGiWexjfKqDFZ4EhBNMC6W9oPK1uV84WCXpeVzmrVDPy0tQc93WhZY355ayk3gjFuNnsQgyNYMnbQJ6fKV5rsZrIBc2KuIw13UjyOd+4KdqrM/XLpeDXPUbOwpBBzPfkwVN5Fxy5QMQUjMID3k+56DFaAdZXij0qeral177IK68Zzcuvda9dnBnLpWcyk9fsUV99n++9qvKtrR7GepRgMDX83Pb3hb+6N9uUt/pZZnaECniYBZo4E5KFQdZ/N1+36UDUh/ql73uuhBCjoDGks9v34drxvJqetzh/tTPdP8dzKiTq80G9awPgjxUKyc7H4gpBFnmUfD1PZIqFtzs+9I8e/sFJ+KJx41jfztR0YQDycvh88B2mKgNukS2iSBX7cXcDN1jmWxKhVH2txPcvn0/PvLje/r+1sVDBszKc4s1Thujfrl56z6sXlJXNLt+HGTi6DoR5MQhrUk8Z+b0t3opmrUQtdBXUVKVpBf5xrWpvfwddpJM8Zipzz7wg7tx9eb+JaX7ra9E3zqMIB/ipkJ9Dg4yn5R1S4geADbKkyZgoid7rLBOKhFknyPIvRSB7xkDRCXpDVBggScl9cuELnGQ5Vd7mVar4El63VSHZ8hRWjFSU+3UOsimE9OIAtQjQlPL+rNka5c2MNMpJ3TZRpv2o+Qp+17JX+XI+YGiLxMzHWz4y+/h5gf3otXTCKiN/BiFGlL337oMmeMyb71Mo3PDsj+F4gSrQmf1xUKKB2TM+T5yiUj62LSzP9e38lrynY7YDjILv5ODTMjG6jFxT5eD3LXQcxc33/w+hUrZwVQ6GUPW/CvdSzpjHgRSQ9+f7qQYqZnPQ3N9EKm3+Q5hdiEThSBXbA70bl37QifJSgiyjaz221C6qaA6hb4v5aQyfObnW4zv8IMcUbqqkDojATTmHOQyFQbQB70LT10l29OHYmFH7hwIWS/NUQt9eJ6HKNQc2tRxgKJ++fIfP062TXxnppNg0y49Hw5mqWeX4hG/vsuxTLIcnqfX0YPhsN+ydR/uknNeI8i52hcoSY+bfV9y5leN1jHWjDDbSSslv+Yz/t65LrGNINP1M0b7I+MOvviuuw1t63DXTfNStbcqAKkKQaZrznZTXHnPbvzjD+52/n4Qo2cKfE+js2mOjUeMKP6t4iDXXBSLapk3N8VCfG8/2yfzQnCZlzSikg5yPbQpFuXDCqHHtVAfUj99xRa8/HPXD8QNd9lhDvL/EFNZxY7kMxdyyu2oZQ3174gtQLut8GlPIcicg5wZ/GNgYRQLqsgmrl89EAn5FrI9uRtBbpgIMi1wtHCct3GFcpoIpbTDnPUo0CoKvcxwEFZKOZ/lQzGOWtZEmheGo+syctJXjtYwPlzDvbskgswWswN1kH9xzx7kBfDF67Ya7bGLgVRpyvJ2dpOyg6wcEEsIPg59NNl4ot8VRYE/+feb8Ox//sXAz8D1JE9cNYLVS+qqauJCja41wiIKgEmxoDFLz7hUFigRB4zc+TuyfhrSru8DehMYtpz2KgS5m2YoCu0Ez3SSksNPXNX5xiAwP42Hj/Mky0thUtuo3TwREQAenJzDie/+AX5wx071WZoXxnM+57QjSyWV7bY0Il/JvH36ii2Kr0/Wk4d1AE7OullhS7e1FnIdZDcHmcKmzzl1NYD+kTD6W79ktW6qIwE1hiC7quTReDznuHHUQp9t9OZ1D2apZxeqmRqHaYfTLw+ZNI8OBoL8gk9dgy9fvxVR4Kl50stytS/EoV8ab/Y6Rolyy4djjNRDzHR1otcg+xE/1PPv8zFgRxSo/+jAZjrEOXoM+KnKW7GjH900U+vue55/CgAY3HRudD9bQo6uOddN8YpLbsCnrtiyqIqH+1sJ/vq/7wBgJukBwFgz0vQ8S+at1UvheaI6Z79x0uojrbnPcvrDwMNoI2IqFhpBNikW5XdOuR/rljVL44aoj2S5Y266LLX2ykPNDjvI0kSlIYHk+h6c4QYAcL1GGlf//YZzDafITgxIJIoY+J6avLPd1KBX0G+BwSgWduJNlXF9WlHFR/6GoXs8pN5NNYr1inPW40WPWYs/OW+Dcu7cSXqEIIu/XXnPbjzzIz9Xfz993RgAsSisHKkDKB8ibKPJVY8CnHTkCK69bxKbds4YJ+NBKBZXb96DOx+ednI+KSw5Ug+Vxu765c1SaDTtgwppdDUrFQpRhyGXg1zj4WBxjS27Z/GjO3dh066ZgRP3eEUiz/Nw5tFLce+uxSLIcjw03BQLUrGg+wGCz1sLfam/bF7PHsf9qhAC7o3Y5ueRle4lxyyh/+R4ddO85Fwvk/JSXP6oyvi7tzfJoijQ6qWqL3oSwY0CrxI9oddqc0IpcYcbSceR1UK/r84uHVQD30Oa55icLT8fR5BjB4LsAgiCQCDIupKe+Ls9/8g5JPrAQAgyUQ0cjmtXIsjUVvpN5kh65RutUI8xnfjVS8S6882bH6psUz+j9Wjb3ha+e9vDANzrbtLnMA1IXeLAV/PoQOhVto3UI6Wzn2SFcjCjwEdkHazsCMedO8T4O3HVKIZroVRCIArE/G3kfVFV7tnWoyYnSSknWIVCXHQf2wwHORUcZBrXrzhnPWJZrKlfm221io5aS/R6tZi8jg/+6G48JCVKucwbICIntG7QtWnNavcydaDRFAsXeFBdnMk+/IeBj9F6qBIfqS2lJD11WCnTmMYakbF+AOVDIn/GvioWh2Xe/mcYLViAGERVCLJrkiVZjiOX1HHa2jEl+r20GatkouefLpCUNGMqFixJL7Yc5PkQ5CTLlURMMg9SQcYneauXqg2DI8hNFu7nCPL65U188EWnY6gWlhxkWw6PkvQA4D9/aW5CT9iwHIBwkFaOCjR5YtrtIKdZjrP+/if42o1CNzcOfTxp4zge2tfGs/755wZyPl9Rl62TLbz8c9fjwo/9Ak/70JWlv1PCwkg9VGGk41aOlELv/D52X/KGfyEAACAASURBVLsQZCrjTad/0spVDnLgoxYGePsFJwIQ42zvXM+oiDTogmyfxGuBv2hUihatkZqJINMzpnnBOMj6EFALg5JaB+AI487jILvm2JzVd2S2pJxdtpgfQOzfLpOI0l6HA2lbv026m+bIC41u0yG4wSTRbCMkbPtUGx/+0SY1ZlzfT/Pc4L8fuaTeFwGlg2rge8hzYP34UOk7JPMWsvAt3TsKPLeD7Hmoh4GKhNEzlDjIcvxQf/flIGemU+By/HssXB6xtdmg4LCiCmRhoKuDUZtOWCXocB+9/N7KNvUzCk3/zqevwRu+fEuptDiZkRzoeH4q106OwYFIqNk2Ug8RhSQLptf3OPQwPmSiqHY0564dM1gxUsOKkRqGaxHaSaacz0GACINWUYEg22PcRpCpqAk5teZYdPcTrZNx4CPJc+NQBZgHK9tUQpvFQe4wigWZjcgOYvy+vmf+fz0KlEIF9QvtrZ00VwdoTbHQ68YVmyYAAF++QUeHCoumYr9folgQWk7vtGbLvDmS9Igms6QRlSrD2uuRoUTSxy85XGr6f4glLKEnZsiDrT7gdpALNYC/8MrH4p9edDrWLWuoJD0e7kozU8Wi1ctKCDI5zPxeEzMdXHb7DgDAt27Zjqd/6Ep84Ad3q4lQj6pPyICZKDLXzdTvLr32QYV0c6pHm/EgOZeLEvlqjlLTbbkxu2gqAPCEY4WDnOWFoltMVMjv7Gsl2DPbxb/LJKZa4OOZJ69Sf79/j9ZEno9PyBdtHkb79fb9KIpCIchDNY0gH7dyWGRDW8lS6pr2gkAOMuMga5k30R9zvQy+pxVA6PPT1i5Rz/Gub9+OX9yrkx4GdZD1PemQ5w20ofW7lk1JoAWyl3IEWSN7tchHN836oglAddJLJ8lw+V27cPG/lZM6afNoWhzkEsXCcka4Uzwsxy69F0KQB6JYcNmz3L6n6eQB4nDUkDJyLqNmf/n6rfjYTzfjmi3inbcc7ztjTtjfXXQK4iBQpaFto2z+ehQg8ASC7AoL91IR6fAZ3YvGGiXZ2s8bShULemYVhSpRLMxQcb8KdqqCqXyvmWPM8mRLE0HWmzuV5eVIVOhrpJ2+y0GAxRitH7RmCtWa8mHC4CA7qG+036jQ+UHkRDck/5zuw5P0jpAIOpkdzdmyexbHHzEMQO9bND8GUQsyneLM+W97jlL7Mkb7I83rdi9VfG2gup/omiP1kFEs9FpRC33neyiKQq1PVRxknouyb4Bok2282I89FZtxoMYAzRNehTNQIItEkOU7eOGnrsErv3AjPvCDu3HFpt3qel22D5HRnAUkgswpFnkO3xPX5+sJveteqtePNnOQRV6EG0QETKe4X7RLJS8e5iAf2kanVkA6F/LF2QuIi0/TYyHnlaN1/O5j1hr8zRGV+Cc5yIFnoMZ02idzUSz+/Cu34nVf+iV2z3SVHM6nr9iCq2QG6XAt7Isq2QgyXXt/O8GffeUWADDaNNtJmf6o/pycJrVg8UxymT2vEk/YYva3F52CE1eN4OWPOwqf+YOzsEI6yFX6lLbTEoc+jhkfwt8872QAwN0sAW2+zcXFb7ruvkk89+NX4dJrHlCn7DwvsGOqjZF6iFUS4eaLY79KZgq5dCTp0biabidG/9B7prGT5YVRRhkYXIlCSct59Mz+gsulk9HiyDnpABPiz8ocZIEg+8YBgczuqyp96f/ztVvxqktvcv6tRYcLKwfApqDY4XzuUA9LNJnaPFIT1eZsikW7l+Fjl99bkpsis+eZ5g7qe4mCLWFleNHuk5sfFJJPLs3QNNNayL7vqfXCNd+76sAsEeSiQjotEyHSkJWxpffbjEPjUMMlqlxrk+3ULghBtlQsXE5YN8nU2kRl28V9tHOtOcj6d1HglfRc+Vq2GCMHmcbQXNc8ENJ9+kWb6LOIUSwWyomemO5g/du/51QQqIX6ur1UJ2HHgY9Vo6aDbEdzZrspxqQ2O+1bSq1kIATZ/dymooU7t4P+S3vxUBxirpehlxVKirBKxYLe/2gjQiKfmb/rKgSZr+lTDDwpisLgINO66iooMp9x2rcd8WrGoRpLHQcIYNP0aK0h9SqubCP+bkbQAPPgHgUeRus6Sa+X5QgDX0Zb9HsoCn1P+pzuTftCy8i7qAZF+tGHqP8Py7wd4mY4yL5GkO0FxIXSplleoklw9I3+naSkg+xjrBkbKgfcPM+UMwL05L1v96xxCt0qq+gN1cJ5KBaZmuQcQQY0osf5ae0kU89eZydxehaaLHahkEYcqAQ+rg391BNWwvM8vPcFp+IxRy9FMxYV9+wCImQ2b5LezaOk3Ns9PCN9HkfQRTUgJ+1Hd+5Sm14vzbFtXxurlzScCgd8otuJJHSLbpopVJMoFuRUTLUTNKJAKSvQM9E4SPNyBajBEeRc8Y8B6RwskmJBp/8ltoPc086GrWIRh0K6cCAHuQJBvqqPXFCrlyEMfDZHxX1pw/nb79yJf/35fSV0im8O9G9qu+d5WDoUl1ChT12xGR/+8T34v4wilPZBkLsK+WEIMkmiVbw/uw+oUif/nOYraSuLzzy1mbicKo0C+wYn2jalye55pRBvMw6QZBo54jJvFDnih5wqFQtdLGV+B1kXaHI78+TsEK+4KLSyx3A9VP0WcASZRVHonVXN50GN1gp1qOhlhnOgHOR5oo6UeLhYB/mXW8WB6tJrHij9rRYGiNkhipyVKPRxxGh/BLnVTdV7szn7/ZBAssrEvJSikX7pQErjhyeOR4GnCvkkaa7aNB8HWSPIg1EseL9zDnKPremz3VSBGoNEm2zzmIdsrx2NKFDzmUdwyGgNWCPLUVPV3Cqj9Y8/Ky/wFfo+RhshpjuiQFKaFYgDH77nseiHjkoDus/VIaReVujpt+b3G9s0Tw4n6R3i1rU2fVo8adC+6zknwffcCDKnWJA9+qil6t/DDB3JC4HaBL6HIySKajvXAKSzoe9FySX3TswaC/vkbFdsXH04VoCgWCyXVXQ4gkzme8DGlcM462jdbkJ3+UncXmD1hiAWYp6kx63hkMcj+TOX7Z1zO8h0fz4f50OQXf1CE/L+PXPKGZ+Y6eKqzXvwuA3LlIPMN5AqBNneCJRDIccEvf89s13UowBN+f81y9lLs6IUjh5Eo5faxhO+Qt9fdNiWOx5kcajLh6dZmYMcSQ5yN3UXCuFWhcL046G1JYpItBRyqPIc+I9rH8AlV9+P9152V2l+cg4yvVO+GC8fiksbNqErVbrA1D+/3r4fqdyMAVOCLvA8perhMhtFoyQeTgFSyg65rpYZ8Iz2PmVnG7LUNOBOkuvKJBuDYtHTCbGcwsGTTmnMTszoSIcdqSBuM60DA1XSc+jPb56YxeV37RIJV7KNdH/iQQOmfjtXaYgYxYLe2bErhtXfO33WyyrjXFegXDmS7mOWuC7fh3jiC9G850YgCT0up9HUItPxpjbFga9yP6JAjKOSg5xkahzbnP1BDhTVHGTx+ZqxRqmAFvWf4r1KdL1ZCzHXzZDIfYV/17a2ct5EApkt8xZX7DUmCKXXgY4EAzxPHKpoLFcBOv3MQJBtB1nOU98zy6Xb4MnyIaEqcv+eub5KGgpBZs/F32MYeIoiMdfLkGY5QllhkVNcqG2AnqOaxiLmmyELafWta710WWbtlYeaHXaQpSUsSY8ngtAGt2HFEFaN1iuT9GwU+MVnrVP/HpPJQEmqOcgAcKTUjrV/C6Dk8FJYY/PErDH4pjtCBUMUo+hPsSDe72w3LW1ajzl6KcaaMb75p+fgwy8+HYB2kLkD/+fP2Ii/eMZG/O6j1wLQA/yaLaLKVCMKnA6/Sx4vDqrbvNdaiKiPiJoBaIRzvoXbdQ9aSHbs7yg+1s82TaCX5rjojDUVCLLbQbb/bSfpkaO5Z6aLeuQbSXoAy1DOi1LS4qAUiywrDAcztBKtBrqGVEsgRJ6ckbVLGwYa2styFeY3OMihbyQpktkHlCp1jcARZtNc/RRRoB00ej9T7R7e/V93qO/b85OrXtCCz/tpabOMICuFCbaz2brAW3bP4rkfvwof/OEmrV8ac2c8kBzkKgTZ/Hz7vrYsUqPbwotnEJXE86AQ337jWuggk76q4Bl++/Xn4l3POUlFp7LCStKznkOpFzCUh94HL1BUQpAljUzRMQagWDQdCOEzPnwlXnXpTdjX6qn1L1bPrscpj3Tww0/ga6CDxuRjjl6Ktz7rBPG8rPrhoEbtpWjb3rmek37Dn+Oy23eUDm6Ur6Ecfse+8uDkHP6joggVXZ34rdwJqRnINKNYhD6Olknk77jwJKVSwa3VzVQkxEaQB0rSS9zrIn2+eqxRig5S/xGCTJzzoTjAnJSZIzSzmmJBzluoCoXYCLJrHHKnmR/cCagYH65hrqcpPotJ0uOunz1nadyHga+eIQp8dT8az57n4ZjxITwwOecEGP7quYJ62HZQLMaaen6EvqcOlNOyCEzoiwqLNM/pPTct6UW1PjjUaVyJy/pv/SgWufGch5oddpCl9TIdkgkDTyEPhPQ0olCUUE4EPeFvv3OnQlFcDnIjDnDDO5+Oj7/0TFVEIZXJNrRxHSlRYVsHGSiHhMhRe3iqjSQvJJqmEe+qE7L6fS9TzmWrl5UciTOkBBugT4i7Z7uIrfKkzTjEXzzjeNRj7dQBwB9ecgMAUUiFntfoD4eDHAV+ZXETW1mAFox6FKgNkaq3zRf6c4XlOFJLHORd0jldPVZXfFWOsBiKIRUIkVA0MMNGhAROd0T4Ui+KZoZymuclabk2q5LUD4kj5QSy0PcWtPEDwHHvvAwv+PQ1urCA7+Pbrz8X3379uWhEOuEsyXIVFuTltCs5yNa4fHh/x4nEuBDkFTLq0UlydRAE9MZiOxa2I8IpFmNy3LzgzDXqs2XDcSlaQe+PIz8mIqKl0667f696/5xisXpMHCp27G/jkz/bXOJK29StmW6KqVZibMDqAJibY0qXnS2/X1J9IQ4yIMZN6Ps4Y90Y/vhJG9TakkkEma5HzryNHJkIsvjbLnaQs7mpND5CiYwthGLhUim4Z9cMTj5yFIBeK3sSbOD9BJhIVMiSrRO2EdM62EkyfO3GrTj2HZc5qQpkLm1fasfLP3c9bn9ov/HsgHlov2LTbrz3e3cZ1+xIKb6YIeK2vfxz1+Pd3/51ZaInN+6E1EKd+GUn6S0fruHuv3s2Lj73GAzXQ2McEh2DEGReWGekFg5E2apK0uvJRLuVo7WS1KZNgyFFqSbjIDfiMoI800lwlUxoJoWgsWaMXpajkzg4yI4+pvHheaaDTIen5ao0c6LuuVBzlUQno30xsg529P74IX39cuEgk+bwx196pvrbKulLfOOmh4ykXgCqvDSgk/TomQQ91EKQc6JYmIn43SQzDl/9nGAjf6PPwYr+dpiDfIgb5yBHvq8GBYlwD9UCxbH85dZ9uOTq+/GWb9wGQEwyl5O7cqSO552+Wi3aopparjYuciTDCgSZD0DavCbnekhSERahBYy4bH1VLLopjpDaw1OtpCSKftRyLQVFHKPdM13jFM6tSpcxy0SRhE+//NHG57beKyCSE6v4w3vnzEWUt4MmPCHz8yLIzhCn/sxe9EbqEUOQ3TyrKgRZqDiIf5PDx/nogoNsltWl73WTHEUhDk6vPGc9AP3er7p3D0541w9wK+N1c+MHL0CMqTTXyV375nr4wtX39w3PFYXgjSeZGKO+7+GMdWMYH66JCmoJyXtpRJ8ct1rIZd6q0QQy0lvl5kIRlg/rxZ0jK4Ru2JzjfgjyWDPCr/76fPzlhSepz5Y141K0glrP0Xubg0xjppfqkuycYnHkkjqacYBd01188IebcO19k8Y9XFJ32/a1MMnGPelQ8w3P9zyNDjr69bM/vw+AeB/aQc4NxzGWGf00ZnShAhNBttFXjiBP9EOQJeXM8wTNot/BTqtYEMWiPD7zAnjUmlHZdn0w0gVtTPUQsoglW3OVFyWjlWRqPt2/Z66yjS45Kw6I8IRhTbEwn+OBSfP67UQojdB4diHItEbTGsS/Y1MseBttbrPiIMsxQI7PUBwaijL2AYkjyEO1cKCkX3td/PL1W/HOb92uOMErhmvYM9sz1iFValp+RAofQzXJQWYUC/6cX7txG/7gkusx3UlURGbZUISiEPPLpljQWLt75zRe+x83C4Uq+dmyZmzsiQSgEKWP+mYxFRi5U2xHBGnccx+Az0m+Jo7UQ7S6maJjrWd79hM3jmNpM8Lld+8qjSVeICXyPeV33Ld7TkZ7BAim9KgVgmxTLDIjMsURedsJNnn5fRxkK6H9ULPDDrI0o/gBS+5osU2DEGR6lbc/NFX6rctitqFlDOlbJ4n3NoIFlBFkQjInZ7tKh5Y2hvkoFnleoMUQ5Af2zJXkZo6SoTdA0zl2z3SdfGKAJ5ZZyFhFxTOXRSwZ0jbbgeclvClkpBDkeRYtF9LGS5/OWIlRQ7F2YjmiyzcIF1JCVZIIBaNDAXfSBAfZDGGHVpLGK85Zj1c98RjxmexP0pTetLPsWAIC5TMSlOS9X/LZ65BkOf7yP2/He75zJ365VTvYV96zG6+45IYS6spVKni7RUIShZjF32mjiwMt80ZO87/8/qOxYXzI6SDbovyAe5Hk/FLeJlq8befLdjy50xqHPpY0IuM+y4ZiTLUSMwFTttfkn5toCc3Zu3ZM4w8+L6InDcNBbhj/b89NV/Lljv0d7GQqJvTsnIPs+zqprp/D0jAoFplxeIpl5CbNC/g8Sc9KEkosZI9yHQCzxH2Zg5yra9JBf99cD1+/aRt2z3RVQiLAVSx0kt4//XAT7tk1Y7w7Ss6ldSDJREXQ0PeM+WUcEn29jlP/h4HmRneSvFQwwWUuHXy+3vMCSy4VC8BM1ALE+lOPdETE5SDTvjHbTfGWb/wKJ//VD0pVDF3yZ7XQ5iDnxvXIRiwEWZVzl/1pSiSGKjmyn9kc5Hd863Z86fqtEn0MMD5cQy/LjTVXqyeIdpIqVDPWHOR6VI4w7NjfQVEIEIuqzlE0YaaTGqBKLQpUH7/567/CD+7Yibt3Tqv3vnw4xmxX88lp3T1upeasU3/2s5d89lq85zt3GJ/xuW4f6CmhncYtJVrT+zMPfAIFJwSZEvcAsVZccOqRmOumfR3kMPBx8pGjaEQBbrh/ryqQFvqeinLRWFKHEvn/nURQXWhu96NY2BG3KjvMQf4fYlT6ExCDiCYOhW4acagWezpNUjg0Yb91mdYwLIxQ+HErhWj91slyZqqdpEeL1+RsTw1qokJQeLsqSY+c/NGGeAYqMsKNO8gjSv8yqUSQyVmhAU6o7sXnrpfXiJy/M6/hV4qI2xOOO8jkHNHEnw/ZcCLIDjQGEJuC53lqcxiEg0yb5kg9lBQD8TklDHH5L44g2xqQulCDr8v/yndHqMH4sOZgc3NxkAHg+vv34qF9bZWAwp3hr96wFVfesxufv+p+41qu8UxSWspB9k1OIPGDuyz0PdqIKrPHXQ6Ji2LBD2hR4KsNWmnsWo7mzumOgSg22SbPESUyGrdc4okoN1xkn5e7TfPCeajlHOQVIzXjXdkHPhcfcqrVU9rpgD6o8qIcvgfEimZQdlbiwMdjjl6Ks49ZxpL0cgOhikJPybwFvqfCuxpBNBPmOHqtHWSBdA/XwrIGalaoa9bCAN0kx6suvRFv++ZteOx7f4Lnfvwq9V1V0CXWiayf+NlmvOKSG1SEaGkzwhqJevGkNpLM5DQas1CIX3oGruXcTjIVOu9XzMBFreKHNR4dU2WwrUO7PbKJg9zXQZZ/276vjW/e/BDSvNCaxNb84Qc8Q+bN4iBzG66FxiGw1TMjCIYCTM2MelVZUrFGEq946VC5OI9CkOXXk1REZIekigVVpuTfBbSGfifJMNfNMBSHao7PdlPjebkqlGsdJ2k72mfJkSVNaP18/elC1923F1+4+gHjc75G2SWZGxEhyCbdzk7SA0g8oMD2fW00okABRGQjtRAznXJ+kU1BikNBt/rl1n1I5WFEaKa7KRb0zDRmQ7aukNn7tSHzNgAH+XChkEPcUoaaxQxB1iVrBYLcTTITVZQndFdiGlnI+GA8FL5RTj6Xs1CTFavIqB0z3RRzsjw1R5B5YqFt5OQN1UIM1UJsdjjIq8e0OgXXv61ykG0EuZfm+KNzj1EbnV1kwmVRWJ1IZheA4A4bIa6aYjHfom3eg2tc2kaOvTNJL9d0AhcHWTnIFge5FgYGh1pn7BP/ykySiqXEEaCd5m37Wuo3X7j6fnz7lu1Gu20OMud0/csVW1Qf8YWMHLhrt5jhfyenPgrQTjJdGlSOabpcHGoKEg9n10Lf6OtzZLEYF+rvouFwpzMMfNW3rmI6gDjs2NxJMtccJQf5ce+7HJ/9udAUJaeJOw8GWpIVJVqGaKvpqPEQ6K7pjqH8wMcPtfE+K8xPyGSaaQc58HT1Nb7x7G8nWP/276GX5Thv4wp4nmdsZDaCLJL00JdiofSG2fuMGYIcyzXIfpciM14iyDKqwCMXgHa07EIhdJBIslxFih61ZolCYPXhQKgzhL5Zrr3kUFioWBiYFAuqotkPQXY5VNz5cjkK9ppjD20ervY89/3pvdy2Xfcd7QN0T5Wkx+Z1jVE3ktTkIHMTKhHMQe5qHWxAzEcCCrSWf/+11lWuGBAHwppMvAOAr9ywFb/3mWvF92T7VCW9LEccCrUfypdxqVjslvOpnQgEeagWmKix9W+aw+QAznRS1Tc01uiQQHNhwwrbQa5+/rsctDGgf6I1HdZUsrMln1kunZ5j+1QLa5c24HkejlxSV2NxuCb2n/P/+efGPXiEhfaFdcsa2Lm/oxS4KPqY50WJYpEoBDkzchtMnrH496adM7jpgb3GnOlLsbCiqIeaPeKt8jzv2Z7nbfI8b7PneW9/pO+3WEuyXFchY0UWuGwSIWR8UZmc64nf9gkR8Mxr0kEGdAJA1W+MJL2ePhHv3N8RHGSLYlGFINNGPxSHaMZBKQv2+nc83UDXhtlGX0Wx0BxkPnn0cOIO8qV/dLbzGv1k3mynN7QWCoBTLOZBkB2cWDvUZbebSp3OOgqFkE6saGeuws0jNSExlMm/8cWNKCdcBzm1vkdjLWKbOC3YVEAkyXK85zt34i++dqvR7iw3xyC/99du2oabZCEKjpTROL5n14wROq2iWLR6Wcn5p00tlhzkbmJ+Jw59hcS+5rwN+MALT1P3sM2FItRCX4WR48DTcmdUfcpx0OHRi6VsjtkIGqAd5Cwv8L7L7gbAHGRWQObPv6r7O80LZ3lqlXwpn4OXeH7fZXfj7Pderv6fU3zGhkR7t0xYDjJDkMkx8DxPKSjwjYdzaGke0jrTScxqnXEYyINMLikbZl/qjdF0XIKAJ+l1sKQZGQUGyBIGAtRCH3sddBquPR4HGvEkhNTzNHXiseuXsbYzioUc8xzp5GNo+VAND062xKZvIMjaQZ5hDnmVuTjInM7k0nxNs8Jwim2KRTvJ0IgDp+Y9AFyzeY/SuOdJgIRwqu8rioX+fRz4utR0rmXebAe5Zq2/dG2zuI5Jt5jPQTarCpoUwVqoI2NX3rMbNzywF0WhxzatG2JMeGqdnJb68fb9d3MEuScQ5Nhwik16VY+9G0DknlDfkINMayLXVebX7HeQIm1qHo0F3FKdG6zy75GFHGuKhf4O5ZU8tK+t6BVXvPUpuO2vzwfAlH2s+WYUMJL3WT5cw75WT4EhNDTSXFfI030uOchpjpqBIJf3xj+85Hr87r9ciwcl5z4OffTLEcrY2nIo2iPqIHueFwD4JIALAJwM4KWe5538SN5zsZZmhdp4IuZstnopQqkVShxknrg1Md01dGFdVoUge56Hj77kDHzjtU8o/aZmlY6e66ZKomfXdAeR72uKReBeZMk0MqDD+7XQx2vO24AXPnptSdvYZ8k4/RBkzxOLoNisCkOpgnNHn3z8Cuc1oqBaq9dGkD0r+QbAvOLxZOQUnrhKUFo6SdYHQeZhxcBZWKAZ66IsX7j6AbzuS78EICgs3TRTySZck5UWKVFIxWy3XaghkkkTNvoKmBv5LitRykbPXMajH8QDnJjpGiW/Z2SEgltDUizsKoEK0TVULLTjH4e+OqCtHK3rZ3csmi4OcsicJ0GxkM9Hh4pe+TquIj3URtuWOQ6pxEuldrsKYbgKBtDcIsf2GGsTBEyUjGy0HsHzRBEgbpqDnKvn5pSIqlKv1Mf0CrtpbvQtOQtZXkhdZfFFO0mL1ExUIg2jWMz1xIE48v1S/2RMF74WBvj5PbthG/UfJUfTmkibeygl2k5cNYLXPvlY3fZAo9ukt8wdOh6FeMbJR2DPbBc3y1AyYHKQ2xxBTilimOLDP9pUWUWRPueqJIZaA1EscpPWQq366d27MN1JBJ9T9iVFXri97HPXq3/fxhxkjSDb64JuTxT4CsDoZQXjTZvzqxaZ0mc2xQLQB/thFc1w7zF753qYnO1WIshTrQS1UGvkb59qoyg0aAToPiWnrcmccpeKhaZYCNCqWQtK5aXJTIqF+O90R/N1l1jV4QisqIeBoZ3dj4pDURKeWDzV6pUSkl95znp8/pWPxaufdIyKMtFY4VKzgLkmUvRk62RLUY54n1bl/YzUQ81xDjQ4l2SCKhb5vkaQC/0+GtZBuZNkqFvJv2QqQin/+/1f7xTXiAJ1vcnZLj7wg7sNmgk/uB6K9kgjyGcD2FwUxX1FUfQAfBXARY/wPRdlSZ6rjWdpM1L84rmuPunXI6FVyGV3JmY6RqlplykOskws4YP+ojPWGAgJGZ/QFE4kSsYDk60yxSL0jdLO3GgzrrEEsXoU4C8vPAkfkprHttVUko0bQQbEoE5yTVfgaHOVY80t6qPV24/rRv1JTsN8Kha0wZ1/8hEAgPd//+7ShkQIAkcfh6wQJEeQ6d3c8bDYvF7/1GPx6KOWigWfUCa2IQ3XxHXrUcDKwJr8KxpXdFBzUBRGAQAAIABJREFUFZrg/fW492lE0qVi4TLOq+XPxhfxydluiY7QiHy0e8xB9kwOuig1LRZD/lxx4CskNg59FeJzjVXXIhkF2iHkHGRXogiZUeCEPYdrTLocZOpzOkDYYzHNC2c1QNpQiBqxtBlho5XkQ9xfW7d2KA6NQwpQpWKhx4chH8XGCc1D2vS6SWaqWASekTBM49FO0nPLvJlUp8D3StJsaa6jcVXrAMn89bJMOMgWgux7HpKswOqxhnGwMWXexH2qkvQev0Gsq3ftmLYQZOqXXEUL6Fk/evm9+NhPNxsUJhfFwigEwpxMmlMp42EDAlXfsnsWf/RvN+Gt3/gVACGJSX3UT4GIOxQk+0j3pDvwMSp46ibFIg78Eopdk5EEMhr3vD8HRZAf/Xc/xmP+/idGO7j8375WD3HoqzlC65BQ/TEPYqSswJM0a5YOcifJ1DU6supr00aQK0pNU0Rxup0wigVxkIliIVHUOMDvMFnIfmDMLylKx8bG+78volIj9VBFjGuhj2PGh/DO55ysDnQ0bqn99P54kh7NkZluaiTokXE6GbehONQgg7wPrXu7pjuIQs9AkO1KmDbFIvT1/CGjNYDWXiq2xPfKH925C5++YosClPjv/rc6yGsAbGP//5D8TJnneX/ied5NnufdtHt3GWn4TVnKUI/lQ1qrsd3LdNKCTGrgYffdM11nSJobdwpsR6bK+ISmRfe0tWPKuQ5Zkh7JX/Uq5JRcWej92gvoxYXTJmwTm2OhFpM6W9Dsxdhl/XjTaV6UKjmREY+VDgzzqViQM0b99dUbtxkhbkDTXTjiaCexKG4WK+u9bV8bj9+wDG991onq+rTIcgSZxlCdVbmyJW7od7Q4Eu/X9Sy2ceoOv6Zt3Cme7aaqjzllYO9cr0QZasYh2g4EmQ4pceipMUNtJt1c6sMaC/263jtv85M2jgMQThhtDGHgqcgCjd9PXbGldB1+yLGLBdjGM7wBqjKZyX4Qa0BJpSETDu4Ro2bCJDmWhCB7nocfv+nJ6lkAgbroxDSpgRoISSvb6TZVLKSD7GtuMe9DLlVIDjIvNW1wkDmC7HsqGtSxEESV4MaoQPzA7HviM3v+cdlLGhN22fKpVoJfb9+PL163FXGgEWRKfhTXLa+rXDeYCpJUIcjUf7PdlCUDafrS/nainSb5X3LceQTLqKCZlR1kI1ekRw6yiSD//J7d+NJ1WwEA2/YKh7cu+7Jf9I+Mol9K8k3ek5rJ2+N5MOZZkrr3J87L5W3nkUBaH7jKSD+rQpAp4dvWw+8kmiPNSx2LyEA5wZauuZsdJjtJhlYvw3AttHjHJmDDASdAOOk95SBHRh9wBPnic9fjfS84FSeuGqncr9q9TB1kXGXGLz5nPU6Q79C1DtF6S3uDO0lP/26No9bAUMV+KaJwJoJMDvKe2Z486IrP73x4Gt+8WSgmaTUb8Qz7JdVFcZANpQr57ljfAsLJTtmBBIChg20rOR1q9ltvVVEUny2K4qyiKM5ascIdiv9NmCCry/DDcIy5XoZ2L0MryVjiWSQd5ESdbidm5qdY8MUqzYuB+Db8dE+TdlkzVtylKPAVUqVULCqdTb3B8XB1P9OlXasR5EiWM1YIsjXxv3DxY3H5m59c/fugGvXOi2oH+fceuw6/eNtTcZZE3l1Zsu2eplHQiZg7+7YuKZXhNikWoVPmrRnpBMpte1tYt7Qpn8cMPfE5v0rSWOpRoBIi/+jcY+TvzCSpONQUEjvBo2ojtQ9eVQegWctBHpfhQE4ZmJztlcZHXTrrtoOcq6Q5nSBDm7hNsTD0WR3PwRdJQk6iUI/ZOPCZxrTZvgsetUr9m48b/hwuNNPerB6e6qg+3r6vbVRGfP7pqwGIcdBLc/XeyahP7ATVlzz2KPXvHnOQqXCJ0Hwtj3W3igXTQTYcZP1eaWOjPhRJehyFFbzArGClwn1fqd2UVCwYvYOjcrSelBQVDJk30ZbxYfMgsq+V4HmfEGoWYaCfibjJoe9J+oW5/nDVh1Qqt1QhyDVJ3ZjtpMppCRgHmSdN0jPQ3OXPyRHyrkKQC+W0mnKccs1xACGXXH0/AJNuRc/Uj9sKAOceJw5ZFGWidtB/uTPqWWMkyXIVdeBGyDVFZehwsISpI2gEebB8D7viJNn+dg+1KCg5yBxBpjFOaxnnzpKuN70LHm35zm0PY+9cD804MBFk63BMzzqjin5oioVSseiaSXr1WBzQX/a4o7CkEVWuv/yAyt9lFHhY2ozwf555PPvM4SCziqT0O6CcdEq21oEg2xQLTvGyr8sVdqLAA136xZ+5Fl+VxYa0HnqB7972MB6cbGH9+JBy5jnIRO+Q1nrqj0YUMEqL+KxjIM//iznIALYDWMf+f6387JAzUf1JvCSq3rVntos5hrJRCGNiuouxZoyxZoQ9s915KRa8qMZCEGTlIHd16Ov4I8SiHFlJenRCdulU6kxRr8Rx6nd/YB4EWQrxuygWAPDUE1Ya/K3SPfohyFlRqYTheR7WLWsyJK38zGe/7ye46BNXy7+Le3Dk/9fb3RnHG8Z1e0XEoFwsYqgmpKs6SYaJma5KyuC6s+L/dd/Re5uc7WKkHuGB9z8HL3uccJxoOPAkPQCyVHFaSqBzWbmSnvu9GQ5yJ1Xa2DyxY3Ku7CDT+LJLg6rQv6+dIXLqeWEJAAbX1KVNzZvMHbeIoSsUPTh59ajx2z98wnr1b65Lyx0D4q/2s9muQJVWL6kjL0R4m6uXAIQg5wbXENAH2VFL4vA5px2JF58lSrP3slxtsrx8Mk80089R1kEODOdH9+E026AbFoIskvT42BCob8aKFkWBp95b00KODE45Gxe+52G0ESpkiCzJzCQ9oCxPONXqMYqUjt4pioXvKTlLbjFz/Cjkyw9EfA5Qot9cN1XvkEsocieLnBqlUsHGiqvoAdfmtXNFRJ8VlVEcOoDQ2iqihdVKB4BYS8X1JQfZKils08z42tjL3CpLtShAUWindmK6i3rkG6F6xUGumQhulVUhyElWoBH5qgIrWTfVBV80giwpFsZBV0Q6XAjyZbfvxPaptpR5q6ZYpHkhK52Kz6Y7umDWqiVifM71NG2DU1VEG6r3K6JjeZ5FfUpyjDVjeJ5OZnUhyHSfcpKeG0G284aAMsXi8684Cy96zFqctnaJ2g9oTHJqWRT4CBzjg8b3xf92I97w5VswFAd48/nHOznISS58D9pf5lg0iuYM5Xbsa+lCMf/bOcg3Atjoed4xnufFAF4C4L8f4XsuynhIjDa+h6famO2k6iRLDtuu6Q6acYBlzRi3bptCryKERaZ4c5aKRT/j4S+atM1aoDbVKPDVqT4OhSOSF+4FjKN+GkGeh2IRBsZ/XRbKBB2buzioiYIs7gUnL6odZDLN7TafeftUGzOdFJt2iQpXNEFf8th1eOGjtaPCr0/FCwipAQTCNzHdUZOZ+nG0HqGVZPjRnbsAACfJMrg2L5bP+TOOEqW8XdQTgfh4imJBz9WMBK3BCGVVIsi55SBXIMgWB5kcFzvpzN5Qbe1LG0EOPO0M03gNbQdZ8iCrDkb8bEfN5+hiFPp44WPW4sZ3PgOnrx0zfsvfpbn4M0Sxz2GPbH87QVEAG+WB5oHJOfXe6feEIMdhgLdfcKL6LaG4toMMAE+Qjn0vzVUfUliXKBa20WdZrlFs3zNLk5NNs/eqVSz0O7MPT8RrJhpQGOgDuS3vxDcxXpo6DDwsbcalrPmUAQbksNhzmf+mm2aKhrZvTn/uks/kCHJL0t/4tQNrfg3LQy6nM5GjT3QOzxPX++zPt6jkogJ6MJoVNKmiWq65zJymwBzkqjlIfULrZT8FIgB4xkkrcfYxIlpmI8i6PeYayOdZL3VHOG2pxImZLlaO1I01SiHIdeLDLwRBNr87PlwrI8iJHtuai5xLHWQzEhT6nuI172boP9nkXLevigVgKkrMMAd5zZgAOVpMxaIeBaXk8Co6H62ry5qxsba1exkrcqLzNWyjtYWvdQAq1/Sm40BtR6E2rBjGB190usxRIq6zSbEARN+49m77sw0rhtV7AEwHOctEMTLb/ahHgVqn6BCf5YVar1Ty7P9GB7koihTAGwD8EMBdAL5eFMUd/X/127Ek14sIhdt/77PXYbqTKEeUuI07pzto1kIsG4pVhnE/RJYcIFoE7UXcZZwzRYvucC1U1I7QStKjxcCV7MHRk8g6oVaZUrHo41TQgqU4yAt0kMWJ3L3gZHnhXAS4EXfSplhcvXmP+vf+lk7EWNKI8KEXn664o5x/+udP34jQ9wxh+HOOXY4d+zuqlCw5qqONCFle4CvXb8XRy5t42okr5fNQ6CmH75nO8Hkbx/Gxl56JP3v6xspnaVsOcl1SLFwyUmTqJJ5ZCHLF+yXnNc8LzLHqilMWCmhzkENrM6UFTSPImt9OmxAvLAHoMRXKJDHb+OZK/4wCX/PzKMIzUiuhcxxF5FELrgfdT6ucjMLMNA62TrbUM+rktUKhm1xhgRZ76lNuSn0h1QjyEkaxoPbXQh+feNmZePLxK4wDIOcgu8oTuzjI2kHOjPFAkZ88h4Egk1GIfYbJ3PHr0f0DTzjItiY0cYPF88iDtrU2zHZTI+GOQqyEQNG4t9E200EWiVlct901Lma7ulKiLrfsq0PhSC1EkuVK5o+uT2bwjRmPlfrZVfE0ywv4vofr3/H0kpoJRZioT+KgmmLx5ONX4F//8CxJT9KHaJtPy9dAWnZCmQRNpZttq6lkRXHNiZkOVlpj95jxIRwxWlN86fnyPXi0wQZrxodrpT2im2aq7Rlby0LfN7jlQopMXPO2h6bwK6bsQWZz5Pl8p3/bORj75nqi6IaUWvyb79yJCz76C1UUg1sVgrx5YgYXfVJEK8eakdFHnSRDgxIMmeKPbdQvtF7yOaaeoYI+QsYpFv/4u6cZf7P1leusSM1YI3KuWbz/ATO3BLAR5MKgefFraARZr1H75OG0JaNbVfvVb9vmr+ZwgFYUxWUALnuk73OgxguFrGLhi53THcU10whyF8euGK7kOros9H1VlW+QsorESyuKQoXVmnFgaK0aDjJb7GzubmZwkM1kgCqjCdjP6Q18DwmjWDTihQ1yWwd5+1QbnSTDsSuG+4YojWs4ylXvmNLowubdM0ikcggl8Jy6Zgy7pndhrBlh617xvdc8+Vi8hjk7APAUGda87r5JnHTkqFoQ6PS9e7aL1UsaLBNZconTrERx8DxPcVhdFvq+WoCo75tRgJ2J6SB3s9xQWaFqYlleGAto1RijRYwcZUKQpywnxx4f3PkHdOiP9kDuDLfYOHdVQKzaaHg0gRzC0PeUk8vbZA8NfpBrVCRtuTYm22jhpg2Dl5+lA1svdRcHetFZ6zAx08XrnnJc6bquimnEe6SyuoB49889bTWee9pq7Ngvkn6yvAD5P6I0NCHIetwbHGRLj5lTHuhzUdUzRxzqNYRs9RLBb9wzS0mKOkoACMdurpfB9z0sHYqxv50Y89WgWFCyL3NcVi+pY6aTIvR9JJmIkNgIUjvJ4KroSIeKybkeWr0M48M1Q7fdjtAM10W5Yps7X48ChVaPNiKVWEhrCX9PBoJMlIa8UM9E60Ic+FrFQiLIR4zW8a3XnYPXfvFmXHefWGzoXdVZlK4KQc6LQj1TMw6Vg6wQZNYe1QfQa3wiK+k5UcuwjCDTXkf2+48/WuR83CtAB1eSnotWUQv9kvrL+EhNgDSsnzuJrrzJk/SiwOSWUyJnlhd4vqTOjQ/HqvLkJa88C6etHTNyNviaYNPfAEFX2ddKsLQZqeuneYG7dkzjlNWjpb0vCt3r1ndv26H+vWwoxiSrskl614CpGW9bgx2WAL3e8m1kvnyK0XqEK97ylJLyC/8td0RH6yH2zPawpBmXDkaAmXQPAG+SPGqlYsEiJ1meY7Zb1jtvxqHqMx7lmpzrYf34kBRBeMTd0EXboem2/4Ytkxw/evGrltRx0RnCmZlqJSUtSECcFDkCWaWrS1aLfK1uMIDjVwt9pRPJEWSuDWmXmgb6I8gmB7l/G+bTQaZrZIxi0Y+O4byHJfN27vt/iqd/6EoA4rQ9SD+5aBo7mT7wtr1tmUSpr3XW+qUA4JTX40aogo3aUPGJqVbP4LiGHEFe4MwKXRQLKfNmUiwK54Zk91dVyIrGEh26iE7EQ9u8DWQcjaT2AhrB9j2NiLVYkl6NXYcOFnZy5r27ZrB3rleJIFN4kP4LlKvu2XJu5zHtbUoQq3KQ3/g07dDSwWO4FsH3BJLJ5f2oDzi6+canHYffOXMN6lGAN59/guGgq/aFvvFbQCO1caidAZ6UxpM3FZXFN2UjyVwIMu8jvjGGMrmWJ+nxA9VoI0IjChTPM8sLeJ6+Hq0JoS8SkIrCLKVN8mv8u/VIhHFXjNSk06oRZJcj3OqlztyOZhxifLiGByfn0OplGKqFzgqMZEO1EDPdtFQsox4F6lA4Wo9KTqQrQx/Q2tCcYsE55TSv+Hwca8Z40kY9HukAaXKQq5Nv1bPEWpddVYUjrWrWRqLmEAAhkvTKfWRHHXdPC4oFN0pqVFr+DooFlz0lCkQtLOtjU24Pdzw7qZ5f5EC61EmEFJmupAkAK1hbn3biERgfrlWqWCitebZPt3opplo9xRHm92tbha8AypkpHxA4yru0GRvRsXZPI9HUdteeWrcpFoQgV6zpVYjr+vEhN8eZIscWRx8Qh04XgsyVZy541CpceOqRRpu4zFuaFYYDTN+j8tiAQJBXLxHvTCHIvbSEVB9KdthBhg6h8U3igkcdqf5NFItRw0E2E3R40QaXxYHOEh80SQ8QC7WucKQpFkmaaxULRrFwLbQ8g3tQFQtCCPs5yCTFVJWkN59Fgd+HUzvYQYJO/YBI3PjjS2/ED+/YqZyxjuTw8lD7K89Zj6+/5gn4/599ovOaZDZHjzYlquA31UpKSRz0/UFoNPZzdJSDLFEuWZzDDvfyfYcnuJgoofu9UQiYTvsj9Qj1yDccHN4GdT2rL2h8EJ1hSSMqUSw4LxkQ8okAlXLXz/Syz12PT/5ssxqnH3rR6crxjgJdWpk/k92//KBSjwJ8/hVn4Vd/JSpM/d8/PQfve8GplWP+zeefoL5LThNJUrV6mYrA0OGUdMnpem8+/wR8+PfOcF6bjNMielmm+oz+RklQNaO/YgzXQty3Z05trp7nObWkObfSTtIDzI2RkDgjSU9e0/PEvFsxUlMIMt/kAb02+Z6n5tkN9+9Vf6eoBqDXhHoU4OZ3PwO/eNtTlVwmHxtElyLrJLmTYgEA65c38eBka6DNdUQm6WVWcmlDouCA0Jue66bGvHIVCmnGAboyqpdkungFzYklDS0LmVmUJ45skhOtNG/76CBzJ7PJVHVKCLL870VnrMZLzxbJvzTPqpLIa+zQ1u5lmOmmTkcJKFOquPFnSxlKmlnO5IoRMVb4WOqw32ZFoSrrUZl6stF6hMDXHGEATtSzioZA65n9Hva1egoI4Yj1XDctI8gVuv28S5YNxUYCMnGZASgFHheaz/no4l56jqn7DxABqzKXw0021oiwrFnWgx9jDjLvi6pKesTD1lFqT1b/Ew8+00lxtCyMQrSsuV7mBBQOFTvsIINzdBkPr8GlbihJj5WwbUbosAGycz4HOfSN7P75TJ3uk0wpKQzXQkOCSesgewMhyFSSmtrTzyhJpZ/T24xDtKUcnvjuwoZTGPhONQMhrTWYk8nD9V+/aRt+ctcE9s71sE7K4HSSzKiSSM909jHLEIc+nnrCCvzL7z/GeW1POni0EFAyJhfNNwsn6DDeIO+YW8hktnSSnnDQksx0kLNcI+Kp2iDN5M/KSnpyLOkxJaSX7CS9EsWiQqHjvS84Ff/xqrOxYcWwdpDZd/hBkihBoXxnP7t7ApfdvgO7Z7rY306Q5Dmec9qReOFj1qqEvTDwSxnegLlxAGUEOQp8hdAevXxIKYZUGS3SxMUWRQ1EkqRCkJlqwXzKNbZR29tJppAXnqSnKBZsDnme4MRv2qlLgQeep8sIs3HB571ykAPTAVX/lhzkLGdyehSCld8bH44VgiykLsvIduB76v2+9os3q78neTlJTyCCoVKdmO2mJUchchzqYsc4Pmp5E1v3tjDXzeZ1kIdqgVFSmJ6Pr1Uj9Qgz3dRAF40qYYxiQ4cj8Wzi3uQULx+qGRQLPh8ftUarrpCTS7/vJ/PGK/Y1ogCdRDjolORoF79449OOMxK9Eqm44nSQWcEUkryrdpDFd10O4hx3cnNRYpsSuPk7HncgyPZvNdLvGXSZNUsbCH3foC+42mpoHxsUC3NtGq2HEkFOVCSYj6WJ6W6JgxwGborFVFu3acxO0mNc5n4Ui7rlIDt1kA9AK5j2A9cBZ6wZOaMwSyocZBcHOcsLBeQREBL5PiJf02mmOwnWj4tkSEKQ27JE+KFqhx1k8ExKdmJtVFcTAkQohUsXveX8E/reoxb6mpu5CATZ98SirhBkGeJb0oiwdCjWi51DLsjkIA+GIJOD0g9BbsYChdk8MYta6DulZ/o+ozyR29J0e2TJ0sD3cPXbn4Yb3/mMymuEMoRTFAW+xapfPbi3BUDI7JDwvMu+cPHZeDbT0LWtFupyrF0ZhrXlh/S/GYK8QAeZiq4A+t03YqE9zBciKvBgC+fbCLIKnfueqiAI6FA8nfaHa5FCSrlVUywkgiz/3IgDFT6mNlFp4SAQcnxktAgTB/Hif7tRVVXqSr1hcsQ5BzlkiIS+ltl/vL0LjWQAos/jwFcUC+Eg++qABTCKRR90s8poHr3q0ptwu1RMIQ6ymaRntv2EVSPYtGtGoU++5zmdFY540r2qciQiGXXJ2ZihPqZrlxDkuIwgBb6nCuxwI31iQL9zD/rdDUtU10bEXHPGtU4ds3wIO/Z30E7m5y+GgY9d01189PJ7JUptItuAW3XEQJDZ+++l+sBKa+7umS5G6yGWNCPlLOeFOR+f/agjceM7n4Hx4ZqiINF7qgXVFAuOIJOy0U/umlBjSOkgO/aw0BdSeZ0kd2uAs7LddBhyobIA2IG87GB99cat6t+JrKIYykNYkuc47/gVuOiM1aq4RSMKVLSADhRC47zQBV2s975mrIHA9zDJChrZ0oGA6XyuZTrlNL4JsV7SjDDXkwiydJD5un7njunSOlJV0IW3qRkL6TxayzkHmZ7NNabpXpG11nGQaD5aZD9T1VvZmkHbrl3Ex26T+Lc7UkqWyHEGsIO/BCpoj6ecgTjUCjJz3fQwgnyomzq1WiEdMpo4/IS5tBnjLeefgA+88FTc/w8X4lFrlvS9RxwGjIM8f7fzkOxsN8VQHAqeFIV5M5G88d03PhEXn3OMWuzm5yBrx6mfKQe5j7MxXBOn8Nse2o+TV48uCFEDxETjiwnZ7hntIK8Za1SiGnSNJMtx+/b92Dwxi7+76BSsGKnhnReeBEBXWVpo28hqoS4K0k0zUa6bjQNXYlw3XQSC7HC0G3Kx5QlYvTRHVmjkmjasNM8NsXUeortehr/XjDUw200NvcqhWlBKxhDPZVEYrEXRhe7biieB5ykk374W5y0CIlLCUXBdMc93Hurs/uX/P4icm8sacaCQDU2x0El6tUhk0lPbXehmlXEH5ZatUwD0xhSxQ5ftdK9d2sRUK1H39H29UXI+ZDfN8cyTj8AD73+Ockqr9IEDyUFOGcWCVysEhPNBCVCtXopmVL5W4Hs4ZfUoTpCSeHTQ7aVaMpPWET5ciGJh9x7dmyvJuA4hfK11yeNx44dv3geGg9woO9nckcgYxUKUkjdVTQDRX7zypq1LDohDRxR46to1hhb2S9Ljbe4kOXbK5M3nnnakknlTWvfWGtBLc2zZPau02rmZCDI5yG6Qg96nvVYXRYHPXHmf+v+eBAcC35O6/MBjj16Kj77kTHWNehwoPrKqsillSm2kn2ykHiH0PUzOaf3jRhTggketwmvO26A+433uOiBSlICKfuxrJer929GIB/eaxaSqZN72MlRbcbXlO+b0JOq6fggyUbxpP+fz5kCUHrR+uBtBBoCr3/40fPJlj2b30zdvDIAgEzhH65oAN2it0RJ3y5qx6rN2Mn8U6Ldphx1ksJMdm1y8mhCFhnnIZ+lQhEYc4Pcee9RAZZXjUCfpDYIga0Q4R6uboSk3ArsM7LplTTTiwFjsSs/n4CDbIWrbiGLRF0GuiQzxXz+8H6fNc0BwGR1I7Em7e6Y7cJJePQrQSTNcLzPEn3Paatz4zmfgRWetQxz6+NGdu/Dfv3pYlQFdqHEEmRJ5bH1OMqVikSwcQbZLAQN6UeKasUSxiFXf5fivW7djy+45K4lDInce8CfnbUAjCvCSx65DXoj2zbLET7qP5+nxZXOY7epJLpUMO2Qe+B7WOBzkOPTxs01mWfmuVIYg589I0nMor/QbvwtNFiUbigMVLtUUC13IIPAFykxFARZDsRDXoeQtkT0/Ug+Vo2fPN9o4idrie56WjTQoFllp4+VJxfx9EbqXFxrhja0+pqqhgOA3N2sOBFm25Xmni3yNJCuwb64nMtSXmw4Zf1vkSBLixKuDAsBpTOPa1cenrdVrTWMeBPlNzzxBq6f47g2fU+eefcoqDMWBkRuRGAhyjl9sFmOXO9nLh0XhqCmlLuNeA4yDXNhf1QUwgZpaKCIaHKnryHb+8A6h38znbRz6uG/3LGY6qRPA4RzkCUkRXDnan4Nst9OmhnQSEa0LfU+NWTtScO6xy/GsU0TUTh02WVv4/bgFvmc4o4EPfPr3H4O/lGBIP6Pr0R7MUVOKQtihfrucc8T4tNwo0kLzGZC5IrkoTELjhH7rVrGQBxB5IFomE4s5pWQQmcoqe74UHdi4khfuEveiHKs1Yw2sW6afmVM6nBxk+X49T8wRGpeEyCvFklxLW8ahj6VDsaL0zUnw71C1ww4ydCYwP6Fx6SAeeqHTlp2kN5/VQi0BNIjzZCDIvbTa91HUAAAgAElEQVSEYtsLVc1aYLhpBNkfmOivKRbVzsZQHGB/O0Grl2HlAukVoj2iH1TpXdm3EzNdQ6O1nzUioRW8Z66LOPBVAh0gSl/ftcNdMW9Q4yW8u2mOWmRSLMxKcQxBXnCSHg9hid/Su+b6kaoUbqgRnT//6q0ANL9YXE+GuD0Pr3/qcbjzb5+l+nemmxjKKOQsLJHqBaINloNsUywGQJBD33OOH9fmRyVnlSOnOMiaUmBQLPr070K58GTNWogpqeYhEGQfnZ6WCAt9UWqZ6CkLoVjw71LTR+ohvv7aJ+AlZx+lNomygyy5k1b+gi0N1kvLYfQmC2VHVuidwtmKYqESIcX/N6JAldmmghzq93TIZm0BxDym0P+p0iErVHKhbhdRLDpphidtHMe3Xneu0W6Odrr6eDkLrRPl7DtveCI++pJyouSKkRr+4PFHi/ayRmjVAFOr+x0XnlTiBHOZv16W4w1fvkU8L+v/5UM1LB+KMdtN1ViejzJC84VoYtwo+fEjLPmzHgXoprlCQZc1Y/TSHFsnW7j87gl1LX6vLbsFCnqKVXkSMFUsJma6CH3PmazFr2srU7QtalYnyRAEQnGiXZGU/rZnn4h3PVc4tXbCIoERNMYuPnc9XnnOegCUFK7vT8V8bPvXPzwLV771KcZnXBEG0PQmQK+zdqj/Uy83c1NINu/rN27D+R+5UtIGUty3ew6vftIxuPWvzjekFSlHScu8ieu4HF2NIIvnWyud8537dW7TIPKwVXbRGWuw+b0XYD3T5P7YS8/EkzaOG2XguSPsVxwoKVJJc6QeBsiY3KvOrRBrd1Hofo8CH8uHGIJ8OEnv0LdEcYM4x1H/m3OZjl8pJuVCTz210FeOziAcSX2iztHpZUozk067tvpDv0IhmeJ1aQSZV4pyGf21n7PRjEOV9b8YfhQ9I3FWaeFo9VIR/h3AySSe7t7ZHpYNxQaafzAmXhz6uqyr4iC7xegNBHmB/cEdAXJmaJwoVDPw1UJD30/zXOl2c5Sc2kLD2PM8hSjOdTNGsQhVPy1txspZsGWhtPZlmetIZjvDNIf+83Xn4GdveYr63DVGCUEOSxQLz1ncpt/habFIy1AcKHQ4DkTyokjS0xx+rnW7IASZS4gxNOWMdWOiAFDN7SBTn+riK1Df6yQZvn3LdnQkT93V/3TQ5+ORSk3nLEkvtBBkchpavRStXoaGg2JBzoB2bkQ0CQBOUQ6y+A3nIA/VQuSFiIycdOSoitbR2B6ph4oLW/UuN6wYku0U7Tp17RJcdMYa53fXSod7hikg0Jivs4PGnz19I45a3ixRHgiMIASZ5tu5xy1X31k2HCv5x31zSWUlPT5uteSmr/age3fNqCqHrzxnvUEvq0XinbdlcQWazzNMfzZyHLQB4OhlZrESwARV9sx2sWworpTMq0rSs3MX2r1MIcjtpBox5Ws9bws5XdT2v37eKfib558i2sCe58uvfpxCoW175slHKLUE1X5LxYIXl6G9nLfzlNWjRrU5/vc7d0zjnl2zmG6neNx7L0cvy5WsJDn2aZareymZt7w6KkvXpnWPIm87mIO8WJogmU3ROOfYcfzHqx5nfF6vAMQ4DU8jyJqLn0i0HDCpY9TvNE4IQd7LCoUcplgc4qb4W9amf+Gpq/DqJx1jVEL6xMvOxJueebzBkxvE4sBXGbuDIFza4RVZ9DaqaIe2BkGQA8ZBntf68KXIhmqBEQpfqFF/v/ErApGhzTrJCpFhvwAEee9cr7Sg8YMIbagLtRqTYCIEuR5qZM7FQW4n2YIzjk+W5aq53ixt/hS2HaoFKozFk/RWj4kN+6F9rVJbOGpGobTZTqoqmdVCX/XTkkZkVPfixvnVQDlJTrTJ/cyPPmqpMYdosTyVhX27kspAi69O0vNVaLxfoRBug1CeXMYPVLXIl4UZNAc5kAjyDEssGtT4OLFVDAAwioW5WWgEWXKQmfziNVsm8RdfuxXv+c4dTgQZ0DQLTi8I2GFHObmWUgj1hVCpMeXU7AQ8rqAz1UpQC321SdJB20SQWT87qCfDtVBRAqoO8hQqdq13trl48NTPdXnABvTaajvIGkEW+QgrR2t46gkrcMa6peo740OxSlicnOs6OciA7rso8FiBIYEg3/bQFJ75kZ/j81fd50Sga6GY/1S+mBwvLtHoymUIfK9U6hswOcikKV1lXOZt294W7tklqovSXKZS2G2p4BP4XLayPC49WVjI1n5XCLJjgVFl0X0Pjz9meenv/Yz6spU4KBZyPNLc2rhyGF+4+LGla9AeTAfkeyZm1FpAmvoq8ptppF8n6VWrWFD7CCBfPebK3Vg8gjyoVfkmdcc85dFMUVFXHI6I+12AVTBkVJplzUhRR1rdw4VCDnlz6SADIsTyzuecbHy2crSOP3v6xgVvwjz8PAhHklfe4oslbSj2/en6vTTHxHQHl92uq/tkLPFhoY5slZ4uYNaDX4yDvI05dIDeREnmbRCuNqF8k3M9VfSCjJ+Gv/OGJy64fYC5WRKC7Puekvwy1AEYLWah4bBzN44D0IgbgNIGOFQLdZlalqR3pKx8xpP56L2ZyVFalmquK2g7nucpWspYM1KOqR3lUAhynw2MOzscMbaNNhgeSqeCAYRmmBxkB8VigRzvQYxHheLAV0lR5gHzwCkWdlgZQCWCTGOYDkm0iddlAiEAfOWGbdjfTtwOck1L65FpNE1rEdNntKHR2GvLJFfuIKskPVVZTzvIVeoe/G1tYKXA+Tg7XobMG3GAM9cJHvLEdBcuu/jcYwAAJx1Zpg7Y5grFKwQ50hEB5SAHProOCb3heqhKhUeBbxzSxpqx4l7um0uQVznIgUlLEZ8JSTSip2yZmDPoL2T1SKhYdKR0GPXd9DwO8tIKGS+u896tOGDZ1/2vWx/Gk/7xZ/idT10DQCOydDhoJ6KKaOh7imJQtTdw2qFOAq7OcaD+HB+uLXj+qyQ9BweZ5j1d8pXnrncmK9KaR87ewzJi96EXna7ehaKiSIcRAEvSq3aQVWXSnHjBZafxQBHkQawqKd9UsTHfVS0MkOZCxaIeBSoi1O5lqj/Umhf4aMp9LJEa3YcR5EPceIblI2WGTutACLJevEg4HRAT+8+edhy+9MePs76vKRYv/dfr8Lov/VJXW+IbvLxu0Z9hoZCbfueAKqrBoPak48aN/6cFpJdVc/hsaxLFYq5XkpyqG4eSxb3bWhiofuymmernpkN1wJRZW9j9nswqv5HZ2rzDtVBXLYyIYqF5u299lpYa1El6uk0jhCB3U8x2dHLEMePCYQk8T21Y49ZhQyPIRDcoPwO/11CfRY9Qo7UsIaSb5LICm7iGUSjEkaTH6Td/d5EIwb7qicdUylQNYk2LW96IBY+SNi3iVM8eIMWCZ+6TKZk3a22g///S9VsBaCfBpXzg2njJ8bZLTQMCTbNL0BK1RlMsyEEOS7/nfGiAiqCYjtYrz12P/++M1XjVEzeoz849bhwvPmutcQ0AOOdYgQpmeYFXn7cBf3LeBrzkbLd+9eM3LMf9/3Chcqr7GVXv4lZnCXJ2KDy2+N3kEJED3OpliELfGO/1KFAHdEKQXQd8WsdNSpX43vsvuxuA4E1neVFyAmthgG4iuJ6NOChFmMS1yhSLpRW8YqqYuHli1iho4TIaJ1dKOpxO4BT/JYezwxDktkKH3es4L5BC/UERMtfcor6rSiTsZ3ap6bEmT9IzEeSq/AaiepGz99A+4SDzfqN2J1mOdk88i02xcO2VCkFmHO9PvuzR+O83aH7+gXCQB7VqBJlxkxmQRb9JpYpFLfTVeJvpJLqCIaNYUHEv2gcOZQf50MW2f4OWViDIB9P4gljF8+FWq0CQPc/DmxyayzzJ4cFJgczSZCM0VmS/D7ap0zzt1yMGguwoZTqfnXPcOF569jr85C6RYEJUlyQTpb8HUrGIA1WsZNmQuXDSaZjkZhZjcehjqq0R5GaTMp4D7IYbQRb/Xlh/LGlE+MALT8Wt26bUZ7Rw7G9pB5myf2mRTWUp2eOPGMbrn6pLJtPdeRc2GK90tpuqsCvRH/a1eqpc6HKrL+l5iI893wGgH/971oUgJ5ko926pWIQVMm98E/uDJ6wHALz7uSfj3c81Iz4LsSbb6Gqhplik1gFzdtqsGDWIcWdqqtVDHPrG83D0kpvttNBlalFQqn7oOgTq4izMQWYSbKowQWD+t2E4yKmFIOvQPf+NKsHNnmG0HuGfX3JmqV3HSYoEr0D6xqdtxMrROi489UhEgY93zKNOMGgUz/U9cgQ86PFPCUz24aPVzQyawmw3NUqoA2IsaAS5JwtmVFMs/h975x0mR3Wl/fdW6DR5NKOchQSIIJGzwQgwazB4beM1TjhibwIv9nrhM7sOuzZe55yxcVrnbAwmmWiSyLIQQgnlPLFzuN8fVbf6VnV1d3Wu7j6/59GjmZ4O1RVunfve95xjazBkvpdYrhcBspuCnMrmjO5juopwwHidmED/16UrbUG1OL+c1jP572cdMYJ7NuzHvMFwaQXZsS2awowkNYdlwfIgq8yazBe756gKKwiQy1WxAPItqyvBWeZNFlPEJFKcJ7ki6lHAYbEQOR/2GsF5m6DTYmEl+7rsD/F15Vbalxw/x/acRgp4xT5jkdm1Uh6HGDM85nmLhWoq5oaCLK6D6WTGEjLkc0Ek7on9SEl6Pkf4eUvZCWqlWIefYsgWi0yu/JK97EEWF7jI+JX9cF5v6stMz25/kSLigF0lrHbfhXXNml0Kq4v4zl6rWIzH0oimsgUWCzFzr6ZxhMDZKETs54hLYoctCKnCAvAPpyzETa853vpdbP+Dmw4CEBaLQg9yKsMLbkJiEF4pZa/Lxf7lAvaLzJJc47G0FRg496XqSNIrl0DpxVcmEod0lVkqnTOJVDVLmsnbD7h7oGtFLmUW0PIWi7Q0PgQ1xQrwK7FYyIzH0gUKu1XFwnGuOoMW2WrlbIrltj3iJi4vGbuVFMx7Y+0Wi13jceS4/SbmbGLgtFh4qZSz2EyikgPRgKbgLacvashS8meuWIUPXLTC+l18n1Q2h388bxl++d4zLB+ps3FH1JwgWH7KZKZgGwOS73oinrFXZJHIWyyKT6YVhbkKBOKav3P9PoQki4VQkFcvHLQ9P1AmQAaA05cOY9d4HHsm4yXHSWdQlzGTspxJb3kPsmKrXOD6nkp+P8t2j2KvEfuuKgXZkaQnl5/MK8jG7y7N5mzbJK7/XaaCLN/bxXMyubwHWexXMRFzC3TFde/s3mf/Do0P18Qk4aozjMovR8827h/TUoIr4CxXaJQpTGSyCOqK1bo7x+XyevkxUxwL8Z5eBMNWQQoy8splI03wlSrI8lKNF7uBpjAozBhgxAUulPFsVlYjvH3Hj11+LF553JySS5gRl0LslWJ04zOaVwilLpnJ2TLsy71evK4wSc/YpmrtFeK1YtCW/ZVWUpVLFQugPoOZc+mpN6TZlqoA49x1ayU7ENbxk3efjmOkFreaNHgnJaVvyUgPRvuC+ODFR1ktg51dqvJl3kwFucy14mVys2rBAF553GzkcsDtZh3X/FKj8RzGpOX/IhaLemHzIGuKtf/l8oyyulitopPJ8YKEKEVheNfZS7DmqJm2x51Bi5yk58Qtt0EsuV+2aq71mPPmBuT3ccAxAbzGTKB18yA7y7xZHQY97Jc1R8/Cv7/iSLyxiIWi3rzupPm230US4KmLZ0BTFZxsBseAsQ/kttOiVquu5YM454pZQFWgqUYjmbxFrLhNoJg1C8hPGpznuKxUhvR8e3KxklCw+iAlHRZDTIT3TiSsRGE33I5pNJkpqCucSGfRG9SsSilA8fuqrkq1kh0WLrfJhTgH+1w6H5ZD7HdxXN0agYlry9nZVSD2owjsdrsoyJp033Zad7739lPw7M5xV8X03OWjeN8Fy3GVuRrmRjOS9ABg2ycvsX7+2KuPQU9Qw8tW2O2QmsIgsgNEPkQybVTSke/DYqyQj7M4360AuQYBq9GQgox8Ae9GztDkQcqLgiwHyMX8bDJGVrBa0N0GcO/qVI6QruK8I2eWfI6sgjk7r3klEjS6xSUzOclikXNNUim2nYJiVSxquQDlgEgupSUGVflGqdeoIDtxltYZCOsFXbjSOUPhdLuBnbFshu1GILyO6Sy3BfshXcXjH7rA1nLbqSB76aRXKX0hHV9700k4cnZ+EiYmdXL93HIWi3oRcXjq86Wo8su+cmBaqYL863860/rZrUzkjZeuxGlL7dn5zkA4HyAXntNu2/Ptt56Mn7z7dKsEGWA/T8XPAet/u8VC4FbFQhwOsY3fuG8zUllvLbhVxajPPVRC3WwkJy4cwosf/zt85orjC/7mtFhEzUYp8jXmpiAD+RWnTI7DLZ4plqQnYwXIqjNAzr8mk+VSEm/K/Lv9fa4wJwWlBBlRzz+d5WU8yPlt6ZfKRcZNZbBfslgID3L+td4tFiKQcluRvNKcTFVnsXAGaoX2JtFM48xlI3BDHDORDJ23WBSurqTlJD3z/Ud6gzj/qFmu760oDO+7YEXJ66HSykj1YGZfCJ99/aqCFUG51KMQkZKZLEK6YvO8O5X7oKZYr41aAbJ/w1BSkFG8vWU9kW90XhRNuTWk14S1oJ6v2Qvkk/MMi4b9M8vk6HnCLTmhUoTvM5bKWsFfKmPv8lUKeUmqIEnPHNCqbT0MOJP0JAVZWCxU9xtdPSZb8nf7wTtPxV3r9+e3S3ReMhVkr0EJYEycipUFExQbEIXdpNIJl8xv//ksrDMz9gH78dlnVi0QIo6qMPcybw24VsW5yJgx4RSKYdzyXTPX5VSvyApduRbJgkIF2fg/6EhALVaFYOGMCBY6utrJyqYYZ5wqvTNAllU78XqnGvrgpoPQVebatc2PFDt+YV21LD8AEEtm0BvUHE2B7K8V7yWajBRXkMtbLESA7Lwfya+ZTmYKOm3KYxEAnLBwCD959+m2CagTOZgpNR6oCgNjxnU51BPAZCKDaKpQQY6n83WQBcUCIF1VEDVrODsn4G5q6XlHzsQf//Vsy79eCZpzsiu9vxjrTlk8bFNPnYjvMZVI297L7kGWFGRHFYtaURSGa9Ysx4VHuwfZzUTsT1H6MpXJIZnOIaSptjFL3Cesmtiqau2jKCnI/ieX47hr/T4A1XsKvWCzWHg4IYQymVeQy2+bbAcAJIuFiwJdroqFF+yDfLUWCzPxRSpRVqwDk/vrSynIQtWpl4KclTzIIgveXTXW6xDAyfu0P6S7lgrM5HJIZb2dH/LyXzGl74qT5rvu9/wSqL2jWzWsXjCIN5vdzQC7wvWv5xuJhsJHzyA3CmnsEmPEUWpN2GcS0k01UMM5Lz+/VM1ZmWIeZHmfCW+j1/Pc7kG2l6eyLBa6M0AurGLhZvdIZ3lTkokayfyhMHaOxa0VuKhZ5k7+Xs7v6FSQizUKcbdYOBTkrHsirHzfmE5mEBJJemaA7CYEnLFsRkkPsq3zaIn7kpzgPWgGw9FkxqrtL1Rl4Z2Wxwe5yYyMpuZLwcnNZoDi48ux8waqCqh0K1ArVJC9jmXi+nJ6lF09yFleYLGoB9dduALHzW/9BFRWkAOqEXcID7KMuAbESoOu5c8NocSTguxjppIZ/OKJnQAaqyCXGlzdkDsXeVWQCztAmQqy5EGu58p0PRRkoVRNJvIZ+Ykyg6Tb64HCygvFastWgtODLN6rx6XMm25TkOt7LvWFNNdViEyOI50p9CC7YSXpmQqy23n46StW4dNXrCp4XATXiTooyE7EW7359IVWy3J7u9JCBbkR5Ns9m5MfTSSYyAqyrCJWtg9UM08gx7134iysYmFPjAPyfkqvE3zN1WJRgYIskvSExcKxjY0UGprB0tEepDI57B6PY8FwBLFUBrP6QiUnR+L3oGY0E8m4lGkD8vvOXsXC/jxrlcbxcvn+FE1mynqQvTAoKcjlAk9hqxqUqhTEUxmEdMVuGTHrIAuKlfHSlHwCtJckvVqwvLBS6bmfXn06Ht962PN7FAvk5GtRfG+5UYiYyHQScrMgscqaSCvWxP0P/3I2BiM6Nuy1N5QJqEpBw5VaBKxG0/UB8kBYx2BEx3gs3dgqFkV6nBdDnESpLPfsxy3mQc7muDUw1zNskweGqtv7mkvNcrF7MfP24jOVB/X+sP10Fm1aE5LtpFICmlHjMWtmbTsV5IBDiRDLkPU+l/pCum0gcSbpeQnWxDZlssUbOhR/rTcF+cZLji7o8lgOkawhB2FffeOJuPW5PVg62osHXjSqeDQ6QBbH1Gq37SgNpSlKSeXPC7qptkQ8Wiyc15WzYZCuMus69DrBd69iYX8P56RSVpCFGicUTudz211BFo1MNh+YNgLkZBaREa1kgCz2gVHbN1u00ZFu7d/i4oKomqI6HrcnDmat7mZWgFzFxKQ/pFmTtlCZ14vhWExeo8ksJuJp9IV02/gjqlgIigfIzBor5KpNQP0FBstiIV3Lpy+dgdOXeu/IVyyQcxOKsjnDg6yw9r8e3NCsSbJkscjkrEmEULk37Z8GUFjmDZCT9Py7f7o+QAaAW685Bz9+5CXMd2lJWi+cdTPLwczyVplsDtmsRw+yOTgLxECbliwax883SgG96bTas8dtA0OVSXpi+U2u6VqJxUJW4pz1TkVpq0lHvdhKEIOis3uam4IMGIkUqWzlnfTK4fRAymXe3KpYuCH2ZzrLPSdTOV9bLknvXecs9fyeAlF7WU4onNkfsrqluXXSawRWgGwO2AFHgKwqrKqlWRmxHOnWKcsN52Ta8iCLVsmaKuUreJuYyMFLvoqFUISMx53Xkhwg5+sgG787z6N2V5CFZWXLgSjOO9Io89bjtFgU8SDLFgu380P1UsUi6+5BFsIBAJy9fASamUjq1njGK4wx9AQ0TCUzRbuoWc81/5ctFjvH4pg/FLY3klHtHuRidW41lVkijth/iUw+gK0nYuwo17ykFMX2r2x3Uq0x1qhiEdbVirvutgOalIdgWSzS2YJJhOVBlpL08mXe8p34/AoFyADmDYbxwYuPauhnVJMopqtK3oPs4YIu8CA7GoUAwOyBUMlEhEoI1qimAfmgRLZYiIDEi9J+wsJBXHnqAqvdsoyolzmZyBT8zSu9ptJ3KGokj1md9CwPssNzpTKksvUf4AOa4lpBwWgUUlgH2Q3FXOLP5EQ5Lu8Dk1Bg8p306jfozzE7na2Y5Z58E9AKg4pGECmwWAhbST5AtndLrHwfiOvYS51oN5y+36CeT3oRliqv2wAUNgqR15g2/PfFOOo/bwdgn7xY6lGRknPtHiDP6AmgP6Rh68EoAKNRSEQq8wbkq35Yv0vnaKqELU4EZjZPt/RejBVPhH3Vqrn46+ZDuOrMxVbC50BEx4GpJBRWfWJwJKgaAbLH4yZbLHaMxXDCgiHMGQhh7kAIuycShoIsfadiHlzdZcKRTBdP0quFfHvkfNOsSpEFoZCuSF3/Ci1LzlrznYbcVyGoK0aSfSaHkT5HB1YX77fVsrsNkvQoQG4SbgFcOUQtSc9VLMxWpAKRpJfxqEBXSqW+ajesADmeD2ITqQoU5KBma64hI9oOO4ucV4Lozrd3wuj4VVDFwnFT0aSBo94U8yCnPCrIgHETtTzIVSjIh6NGSal6nk9XnbEYR8/pL7rcueaombjh746ydd5rBKI5SdARNMpl3uTvXUvOQq9Hi4UTxeFBVhisKhVeK2PYkkmtKhaFOQryjUs+98RzxATWee032grTaBhjWDLaiy0Hp8E5NxTkMmXexPUul3lzOz/EPrOVwpIm0ypjSGbdV2l6ghq+dKW9K+HRc/pxYOpATSrccE8Q+yaTZQMVEVSKxL6xWAq7xxO4bFUYjDG8bMUofvr4DqgsP5EU9aHdkK8lpwe53iVXbcnUVY7N8jUwfyhi2QfkYFuuFBQv0767nRHHV1OZbTVz9YIh2/PE/ohJ9fvbqcybf7esw1hqdqarBKFGeK5ioSvYMRazfs9IHuRGtNGWB4aqLRY1KsilkLuHVYvIAN9jBshikDxydh9GeoOY3W//DHHjbMSEJOgSsIhW005Fqxi6wpDOVGGxcHb7quPXUxRW0gs41BPAe85d1vClyvlDRqD5DtPaIfZPPFU/BVmovNUqyM4qFowB779oBb74htU4d8Wop/eQxxKrzJtI4i3yGrd9n0/8dVdT25llIz3YeiCKTM5oex/S1ZJVe/JVLFSrm6nb+SHOpcFIoSIPGNdCugIf7vFmST1eQ+HOEbPmuddgLhLQMKs/iMe2HkY2x7HAvG7EPS6RyVrfvZSCajsPhYJsWizqUQVIhjEmqZ7VnZ/yKvDyIqXmrNWcnGE5qGcFCz9h7UtHXsYJjm6OVh1kSUEWk5WpNlCQ238kaxOcNXq9oKuK4UH2rCArViAH5DsEpovU5KwnVQ86wuNrXiyMSZUSagyIxOB8XA11WUXDjD0TRlF4MRisWjCItTdeUFDYXQwI9VLRrjpjES5cadS9tCnIuuRB9ljFwti+fJewSjyLziL1neirG+4JYNsnL8FrzQYLeV9k/nyUr6NqbDSivq4cIJXjbx99hfWz5UF2lPy7fPU8z8fEzWIhwisvbyFUbPnz7rruXOs7dUJS0pKRHuyeSCCWzE+OStVBFt85YNrcijVnEqWtZAXZVv1GSlzzMuYfY7aST6QrS4yVEV0zs7nS7yG2RlMZFg334MntYwCAWaZIIN5nLJq2Jk/FEvQAd2uCWAFtRNOuWqvhyCp9sdUsTVaQU51rsbDVQZauBWcHVjFWyN5vWUFWWGOrh9UKWSyaRDUBheFB9l7FIuBYZkvnRB1kb6+vhWoHHbG8IpLgIrpq1dasxzbf9+/n1dStS9zI8gpy6QHPWQ2gVj56+bHWzzYPsqi3meOGB9ljsKurDDEzSKskkGlEYw6/YyXppYyBXFGYLbgs127bDVF/vJJzUq6ZLMYR0WWeBbQAACAASURBVE1M1MCtBNvStgiQze1iHurciGfILXmPmNmL2f0hjMfSNZVV9AsDZrAvkoc1R4JmqU56iXQWnLsHuKLJxFCPpCDLqxKM5YNED9fcsiqaZjgRCvIh0z5VDl1VsGA4gse2GSXSRBe9GdY5mbImkqUCRHn/9Abt+7sRFjVRQabasVmsIGVyvGhCY748a2dbLITCr6n5En9u57vc4jugKbZ62tPJDEI+T2KkALmJ/OafzrQaIHjBSPiqTEGWybjUQW4U1apGTgU5EtSsALkeQdmiGZVbW2SE387pQS6GGNgboYDIwblQEPdOJCrzICsKokl7cX7CHVG6yugOJjy/9mCmWmQFsRouOHoW3nPu0gKLjxd0F4uF3Npb5nOvX2Wrre72HIEIlDrhvBKBjbB+FSrI9p0g10GOlZjgi3FusIiCrEgKspcyl/Xw5V90zGx8+4GtWL1gsPQTzc3RVYZFUnfGAbO8pgi0x+NeFeT89xYlOsdiqYK/1QsxufXapMcNxayJV2wSqFlJejnE0zmr4kenIVcWkieHTuQqFgFJdQbyAbKfoQC5iZywcKj8kyQCqoJ0ieU6J84TNGspyLymdsteqHbGr6tGZQVx4+gJqDhg/s0PK7WaqmAwohd4kIshLvhGTEhsZd7MnXPLX7cZf/O4/1VFUpA7IJBpJFYd5FTO1jlKUIvPfLjGAFlRGG74u6Oreq2rgmz+7vxGrzlxftH3cc71hY2s3ZP0gHzlBTEuaarda+msAGMlpWmK5Fkv3A9uFgt5VUJTWEW1gOsRYJyyeBgb/vtiz++lqwrmDuaTzkWFE7GqEUtl89VainTRA+zXkniPfNvsRlgsjPcs1VmwHGKTA6qCR//fGltSPCAFyDmORCqLcBUT2HbAVge5RIAse5DF9SNihelEpmzt7VZDAbKP0VUjSa/Ycp0T5/K/1UkvxxFpsAe52mCBMSML1lKQA4X1VlvNcCSAvZPeFGSx9NaIpEh7963qKgcYFot8V6N2ZuloD84+YqRh759P0stYN/N6VbGQl9ibjasHWVgsPKiWwobhXAsTjXk6KUAWAa1oqStwCgJWh0NNsZpRuO0GEfz221p3OxRkq5Ri8/ZjJYG2riqWWgzkVw7kwFOeMBRDPg/Fe4zHUtAU1hBLl9imWlZvhKof0BTLe23/DJE8zRFLZzrWg2wpyFKSntuxlhVksUqgSmXe3Pahn6AA2cfoKrPUCE+d9BwqccZUkL16mGuhFh9RSFcsD7JcqqrWJL160RPUsPWQURO1nIIctJae6n9zk8vhyG2LAe+WDk1VOkZBvuf95zX0/eVOeuIG7qw4UC1eG4U0Arcyb5Uk6YnnOBVkkaAjV6RpV0RgM52ULBZygFzk2gnqitX8wi3A/e7bTsHvnt5lCyblYFtlrGijkGI8818XIVuBda9a5CS9/lB++/PNZoz/j5s3YCnMT5mJfG7IEwMxYYimGlf5QVy7wzVMTsU+KDa+i26qmVwO8VTO9xaCaslbCWUFufC7ynWQRY1k8Vg0lS3bnKbVNGyUZox9GsCrAKQAbAbwds75eKM+rxPRVUVqUlA+mHEOqOksx/ZDMazbNYlXHtfYGrK1ENRUqyaiXUH2R4AcCahWMFAuSU+Uu2vEhCTo6Nj0X5euxEf+sB6AoXJ6QVOYpYq1e4DcaMRNMMfhqiDXQisTU9zKa1ke5EqS9BwaslCQD0wl67CVrUUENmLirqt2VbPY6ovcMdVtDFg5tx8rzcoT1vMc3RmFguzFgwzkEwqbRUBVrGMN2M/lh284H/0hHUFNwdfu3Yy/P2Fe0feRJ5shXYWuGnX/GzUuieu5lqRtkR9Tqua4SOTr5DJv4pyVk/RKKchAYc11AOhroVDghUbeIe8EcCzn/HgAGwHc0MDP6kh0qSSXl4DL2Ukrm+O4Y/1eANW1AG4WIV2xaiLaFGQfBciC8kl69kSEeiKr1ypjeNtZS3DtmuUAgIPT3jPQq1WQ737/uRU9v92R97eYIPm5JJFX7F7aKm4BZkDkFC1FR8RKEpH9SthK0jOuFadAUUxBlBUxrysMcs1fVWFSswx/nWsiENZUpaiPd85AGD1BDZqq4K7rzsU/v/yIou/n9POL5LlGWXTEOF6r/x8ATl0yXPRvmqKYSXpZhAOdKULI9dMLu3Hmca+5LpWF66v9WDSShh09zvkdnHMhaz0CoHi2B+GKrrJ8TWAPg63onCf/LioWrJpfJkO5hQQ11VI1Z/TklQm/WBllVbucxSLQQIuFrCCLMUZkk3st0aQqzFJBghVu47LR2ktKtRPyMRQhX62+0EduWIN7P3BeTe9RK7P689eYOF/PWW40Gbnk+NllX59XkO28bPko/uPio3DjJSvrsZktJW+xyHuQAeBLV56A2f2hotVDAmUUZDcKFeR87WU/oqusLuOb83tb3UkbNDFYPGJUNIrUQbUs1RlXUxni6SyyOd65CrKUtCxWn9wKAcjnsGXFkR6T7/d+pFn69jsA/MztD4yxqwFcDQALFy5s0ua0B7LFwouakDYD5GvWLMeX7n7RqsUot3esN2csnYGHtxyq6T1kb+3sgfyNxy9JerKCXC5A1i0/XgMUZIcHGQDOO3ImRnoDeOfZSzy9h67ml3DJYlEa+Zr5itnit1YFWT6/WwVjDI99aA3W7ZqwVM4jZ/dh2ycv8fh698cVheEfz1tWr81sKWGHxUIc98tWzcVlq+YWfZ3bNVoOm6+d5VVrv65W1Gvyb1POGbNWD73WdK+UExYM4tZn93gwERXnLx84z1b/2w3ZxtaxHmQtLwSJ+4lrFYsyFotaKoo0g5oCZMbYXQDcJIcPcc5/Zz7nQwAyAH7s9h6c828B+BYAnHzyye2/NldHdC1vsfAy2KbN5JCw1WUth3gqU7IWZa386F2nWUkp1SIvS8pZrX5J0rMHyKX3pZWk14Dg3mmxAIwBZu2NF3p+Dzf/KVGeI2YZ6rlfVb1KmdkXwvlH1Risd4CVohj5KhZmo5AiE96BsG41twDsAZHX8Usv0p3Rr9VAxHb95N2n11SlQVaQFcli0ajqOm87czEiAQ2vO6n6xewlI+Xr6muqYgXIHVvFwmoUwrBybj90leGa85cXPE91qZgjn9dyNRQ/UlOAzDm/oNTfGWNvA3ApgDW83LSLKEBXWF5BrsBiETZVjEyOI9bArGDACBhqDRpE4NcTUNEnlz/yiQdPXpLz6kFuRFa5nAxT7T53K/FFlEf4Fv2q6jWTYmXeOomQ6R0VFotiq1kPXX8+slLuhzyZ9jp+uVVGGe4J4MhZfZVtdIMRw4+oYHDGshk1vZ+zZKKwWDRqYqCpCt54WuNXqTWFWSsPHWuxkHJtBiMBvPjxV7o+T54kuuXnzOjtUosFY+xiAB8EcC7nPNaoz+lkRKtpwJvd4KwjRvDztTux2mxIYtRi9H8/eKG6DIR1mwLTylJYMhHde5Ke+Luz+1i9qTZAlm8+pYr4F+OLb1jdEVUKKkVzGdy7lWJl3jqJgKpAYfY6yG44xyg5IPJssbAlqxn/v/HUhb5t7143i4Vqn/A32mLRLDSVWaUOOzVA1j2ulLo1JZJf09EWizJ8BUAQwJ2m8vUI5/y9Dfy8jkMeKLwoV5evnodzV4xiwKzZmsnmEE9lG2qxqAdCQR6IBGwDil+2W55glLvpiYEjnW1sgOy1BJQTefurmThdvrp42aZuwC+rGq2kWJm3ToIxhhwHHt16GID3lQPbWOHxGhUrQxccPQt7J+MA/L26U69VFFuDFJa3WFSaPOw3dEWxVh5CPrmH1Ru5DnIp5HPFajUtvaajLRal4JwXr+9CeCLgyPL1wmBEtHtlSOc4YqlMVUphM8kryJotQPaLgtxTwXaIOsipBgfI1SvItQXI3Y5fEkdbSTcoyE68Tozk8asSpXXtjRegL6Th8q88BMCfAbLYA9VOzp1oTgVZWCy09p6EqgrDVLSzLRbi3C53KrgpyO1UxcJ/VyFhoTk8WpW91ujoFE9lfT+LFQryYDhgq2hRSWDaSCpRssWkplEWi0CNS/2yatOpg3e9EaX0APIgA3nFs4viY88TI7kkpJxPUY6R3iCCmmrVkPZjG/i3nrEYQP0m1nYFGQ2vg9wsjCS9zrZYeJ0wMpbPUbJUZ2kMFavdfsUfEQjhimyxqDQg0hSGb92/BQBw8THla5u2ElGpY6jH7kH2jcWigkFOXPCNGuT7wzoOTierVu/EwBZsYOm/TuJvH32FbT+1ap89dP35mIz7o4WzSM56mVk7uVNZvWAQT+8wmr96nRjJY1Z/FTf/jFkRyI8K8vsuWI5r1yyvmzdaDrIYY+gx950fJweVoKuGPQfo3FU64SP2ch9SFYZsLt8hUR5D/eqzF7T3mdjh2IrOV+h9FJ3pAP8EmsVYNGyUznnDKQttA0or2/HKiCXF+UPFi8ML3nLGIvzbBSs81yWulKtfZrxvqVanpRADm9/PCb/QE9Rsk7ZWKcjzBsM4ek5/+Sc2gRMXDmHLJ15ZcxUDv/PFN6y2fvY6/srnSiUKsiDr4wCZMVbXgMZ5LVkKsg+/eyXY8jw6VEEWarAXnUYc54Bq7Au/3Ne9QAqyj7EXna9+0Gi0H7ZW/vG8ZXjDqQswqz9kJTf4iSNnG+WWPvH3x5V9blBTce0FhfUg68W7z1mKd529tOoblbjRy0vBhHf8rng0i27YD3LN82YpyCJALteQqBPQHEpxb4PrIDeLdqrSUC1qBcfIsli0obec7pI+ppq2pW4cnPZ3Wa6AplgNQkI+vDEsGI5g602v9MXMlzFWNjGiFOI8Crm0BSXKQx7k7iFgqyLk7XqxlamsYhKay/nXg1xvdMe1FAl2hsVCtRRTpWNX6qxKNh4tFkB7Vidpvy3uIoI1eJA/ePGRuOZ8o5DIwelUXberkThVBb/gh+C4HghvNCnI1UG+7e4hUMX4W6u/0s8e5Hrj/I55i0V7X2NilW4wonfMfcNJ/mt5T4Zx5uWUatnuF+gu6WOqWeIT/NN5R2AilsaX7tmE1QsG671pRJsy0meU1cl1U42uOuJVSSTaH1mgaFb9az97kOtNX8huQWl0J71mIbZ/KNKZ9gpA6qbp4Tbidk5vvcm9857foADZx1SjYMgMRHTcdd25npLLiO5gzoBhZRmP+aMiQrtBCnL3oLWgeknWx2Xe6o2zzn1Ph1ksBiP+LmFWC5UI48I2JE982kVZpwDZx9RisRAcMbO3XpvTVKrJACfKM2/QmCyNx9rHduMnyIPcPcg38XItdetFNmsGE12hINvHeCtJr82/u6jw0MkKssCTgszbd1WEohAfI59QnVouxo0H/+Pl1nIbUV/mmAFyNJVt8Za0J6QgdydqhRaLaif4mS5K0ut3WCwiHWKxEDasoZ7OVZAFXtrNi5rQFCATdcUWIHdoNqwb84ci5Z9EVMWsPn+39vQ7zfKiEv6ikpWDZz58UdUTKaG2dUOZN2ct9/6wht6ghtE2H6OE59bvbZRroZKzu50rs1CA7GPkJD2qOkDUA01V8K/nH4HTl3Z2k4dGQQpyd1JJcmYt7XO7KUnPWbEoqKm45/3nYqjNawev3zMJAFjVwcnxwn3kxWIhEsLbcWWg/ba4i5AHyU6tp0g0n/dfdCTOOmKk1ZvRllAVi+6kWd7zbgqQ3ZjZH2rLQEpm68EoAOCkRUMt3pLGwSrQkN942kIA7Vl7n2RJHyMvSXTDkhtB+B1SkLuTZncObMflaMLgG28+CX/ZsL9ju+gBwFwzl8VLEYCPXXYsXnHM7LZctaQA2cfIrabbpSwKQXQyVMWCaAbdqiB3AhcfOxsXHzu71ZvRUM5ePoJfvPcMnLSwvEquKAznLB9twlbVHwqQfQypCAThL0hBJpoBBciE3zll8XCrN6HhUIDsY4Jt6NkhiE6GFGSiGXSLOPKrfzwTsVSm1ZtBEK5QgOxjgiol5hGEnyAFmWgkAU1BKpPrGktdJyeyEe0PBcg+hpbZCMJfdEvgQrSG2649B09vH2/1ZhAEAQqQfQ0FyARBEN3DstFeLBstXxmAIIjGQxGYj6HlXILwJ6cu6fwEFQJ425mLsWSkp9WbQRBECyAFmSAIogIeuWFNTd3SiPbhI5cd0+pNIAiiRVCA3Ab0BukwEYRfmD0QavUmEARBEA2GIi+f87t/PotuyARBEARBEE2EAmSfs2rBYKs3gSAIgiAIoqugJD2CIAiCIAiCkKAAmSAIgiAIgiAkKEAmCIIgCIIgCAkKkAmCIAiCIAhCggJkgiAIgiAIgpBgnPNWb4MFY+wAgJda9PEjAA626LOJ5kHHuTug49wd0HHuDug4dwetOM6LOOejbn/wVYDcShhjaznnJ7d6O4jGQse5O6Dj3B3Qce4O6Dh3B347zmSxIAiCIAiCIAgJCpAJgiAIgiAIQoIC5DzfavUGEE2BjnN3QMe5O6Dj3B3Qce4OfHWcyYNMEARBEARBEBKkIBMEQRAEQRCEBAXIBEEQBEEQBCHR9QEyY+xixtgLjLFNjLHrW709RPUwxhYwxv7CGFvPGPsbY+xa8/FhxtidjLEXzf+HzMcZY+xL5rF/ljF2Ymu/AVEJjDGVMfYUY+yP5u9LGGOPmsfzZ4yxgPl40Px9k/n3xa3cbsI7jLFBxtgvGWMbGGPPM8bOoOu582CM/Zs5Zq9jjP2EMRai67kzYIx9lzG2nzG2Tnqs4muYMXaV+fwXGWNXNWPbuzpAZoypAL4K4O8ArARwJWNsZWu3iqiBDID3c85XAjgdwD+bx/N6AHdzzpcDuNv8HTCO+3Lz39UAvt78TSZq4FoAz0u//y+Az3POjwAwBuCd5uPvBDBmPv5583lEe/BFALdzzo8CsArG8abruYNgjM0DcA2AkznnxwJQAbwBdD13CrcAuNjxWEXXMGNsGMCHAZwG4FQAHxZBdSPp6gAZxo7exDnfwjlPAfgpgMtbvE1ElXDO93DOnzR/noJxM50H45h+33za9wG82vz5cgA/4AaPABhkjM1p8mYTVcAYmw/gEgDfMX9nAM4H8EvzKc7jLI7/LwGsMZ9P+BjG2ACAlwG4GQA45ynO+Tjoeu5ENABhxpgGIAJgD+h67gg45/cDOOx4uNJr+BUA7uScH+acjwG4E4VBd93p9gB5HoAd0u87zceINsdcdjsBwKMAZnHO95h/2gtglvkzHf/25QsAPgggZ/4+A8A45zxj/i4fS+s4m3+fMJ9P+JslAA4A+J5ppfkOY6wHdD13FJzzXQA+A2A7jMB4AsAToOu5k6n0Gm7Jtd3tATLRgTDGegH8CsD7OOeT8t+4UdeQahu2MYyxSwHs55w/0eptIRqKBuBEAF/nnJ8AIIr8UiwAup47AXOp/HIYE6K5AHrQBHWQ8Ad+voa7PUDeBWCB9Pt88zGiTWGM6TCC4x9zzn9tPrxPLLWa/+83H6fj356cBeAyxtg2GLao82F4VQfNJVrAfiyt42z+fQDAoWZuMFEVOwHs5Jw/av7+SxgBM13PncUFALZyzg9wztMAfg3jGqfruXOp9BpuybXd7QHy4wCWm9myARiJAb9v8TYRVWL60G4G8Dzn/HPSn34PQGS9XgXgd9LjbzUzZ08HMCEt+xA+hXN+A+d8Pud8MYxr9h7O+ZsA/AXA68ynOY+zOP6vM5/vS8WCyMM53wtgB2PsSPOhNQDWg67nTmM7gNMZYxFzDBfHma7nzqXSa/jPAC5ijA2ZKw4XmY81lK7vpMcYeyUMP6MK4Luc84+3eJOIKmGMnQ3gAQDPIe9N/X8wfMg/B7AQwEsAXs85P2wOxl+BsZwXA/B2zvnapm84UTWMsfMAfIBzfiljbCkMRXkYwFMA3sw5TzLGQgB+CMOTfhjAGzjnW1q1zYR3GGOrYSRiBgBsAfB2GMIOXc8dBGPsowD+AUYloqcAvAuGx5Su5zaHMfYTAOcBGAGwD0Y1it+iwmuYMfYOGPdzAPg45/x7Dd/2bg+QCYIgCIIgCEKm2y0WBEEQHQFjbJQZDTXCHp47ixmNN4LN2DaCIIh2gwJkgiAIH8EYu5cxNiYHr4yxWxhjKcbYNGPssNl96ijHS68HcAvnPG6+5vWMsb8yxmKMsXvlJ3LO98HweF7d4K9DEATRllCATBAE4RPM+t3nwCh7dJnjz5/inPfC8GbugtlAw3xdEEayy4+k5x+GkV/xySIf92MA76nHdhMEQXQaFCATBEH4h7cCeARGe9ar3J5gKsQ/B7Baevg0GI0VdkrPu4tz/nMAu4t81qMAljLGFtVhuwmCIDoKCpAJgiD8w1thKLs/BvAKxtgs5xPMbnJXAtgkPXwcgBcq+SCzC9kmAKuq3lqCIIgOhQJkgiAIH2CWKVwE4Odml8DNAN4oPeUDjLFxAFMAzgbwFulvg+bjlTJlvpYgCIKQoACZIAjCH1wF4A7O+UHz9/+D3WbxGc75IIDFAOIAjpT+Ngagr4rP7AMwXsXrCIIgOhqt/FMIgiCIRmKWZns9AJUxttd8OAij3a7NAsE5384YuxbA9xljfzQ9yc8C+LcKP1MDcASAZ2r+AgRBEB0GKcgEQRCt59UAsgBWwki+Ww3gaBidId/qfDLn/E4YyXeiTNtjMILpeeI5jDHV7DqmAVAYYyHGmC69zakAtnHOX2rA9yEIgmhrKEAmCIJoPVcB+B7nfDvnfK/4B6Pt6pvgvtr3aQAfZIwFOecpGJUv3iz9/S0wrBhfh1E6Lg7g29Lf3wTgG3X/JgRBEB0AtZomCILoABhjozAU5xNEs5ASz50J4D7zuYlmbB9BEEQ7QQEyQRAEQRAEQUiQxYIgCIIgCIIgJChAJgiCIAiCIAgJCpAJgiAIgiAIQsJXdZBHRkb44sWLW70ZBEEQBEEQRIfzxBNPHOScj7r9zVcB8uLFi7F27dpWbwZBEARBEATR4TDGitaBJ4sFQRAEQRAEQUhQgEwQBEEQBEEQEhQgEwRBEARBEIQEBcgEQRAEQRAEIVGXAJkx9l3G2H7G2DrpsY8wxnYxxp42/72yHp9FEARRKzsOx/DrJ3e2ejMIgiAIn1IvBfkWABe7PP55zvlq89+f6vRZBEEQNfHmmx/FdT9/BrFUptWbQhAEUZLLvvIgTv/E3a3ejK6jLgEy5/x+AIfr8V4EQRCNZiyaAgDsmUi0eEsIgiBK8+zOCeydpLGq2TTag/wvjLFnTQvGkNsTGGNXM8bWMsbWHjhwoMGbQxAEAQxEdADAnnG66RAEQRCFNDJA/jqAZQBWA9gD4LNuT+Kcf4tzfjLn/OTRUddmJgRBEHWlP2QEyLvH4y3eEoIgCMKPNCxA5pzv45xnOec5AN8GcGqjPosgCKISeoNGE9HdExQgEwRBEIU0LEBmjM2Rfv17AOuKPZcgCKKZpLI5AMCOwxQgEwRBEIVo9XgTxthPAJwHYIQxthPAhwGcxxhbDYAD2AbgPfX4rG7hhb1T6AmqmD8UafWmEETHEUtmAQAv7p9q8ZYQBEEU5+kd463ehK6lLgEy5/xKl4dvrsd7dyNbDkzjFV+4H8fPH8Dv/+XsVm8OQXQc00mjvNuzOyewbtcEjp030OItIgiCKOTVX33I+jmdzUFXqb9bs6A97UNuW7cXALB/MtniLSGIziSayiCoGcPfpV9+sMVbQxAEUUjatIIJEulsi7akO6EA2YfsMjPrVYW1eEsIojOJJjO49Pi5rd4MgiCIokzE07bfk5lckWcSjYACZB8iSk8diibBOW/x1hBEZ5HMZJHOciwZieCdZy9BT0Bt9SYRBEEUMB6zB8ikIDcXCpB9xuPbDuPeF4yGKYl0DtEUXRAEUU+iZoJeT1BDX0hDNJVFJkvKDEEQ/mIinrL9Tgpyc6EA2Wdc/YO1tt8PTnWuD3njvinkcqSQE80lljIS9HoCGvrMhiEiaY8gCMIvOC0WpCA3FwqQfcbCGT0AgNecOA8AcHDanwHydDKDvRPVt+ndcTiGV3zhftyzYX8dt4ogypNIGypMUFfQHzIK+UwlKEAmCMJfFFosSEFuJhQg+4zeoIoTFw7i7WcuAQAcjqbKvKI1/MM3H8bpN91d9et3jMXAueGzJohmkswYKkxQUy0FeTKRLvUSgiCIpuMMkMXYRTQHCpB9RiKdQzigos9Utvy69Pu33ZMAql/yOTidMl9PM2KiuYhzLkQKMkEQPmbcWcWC7pdNhQJkn7Bu1wQ+9of1SKSzCGn5ANnvN25Rkq5SDpje6jh5qogm46ogx0lBJgjCX0zG0+gPafjTNecAIA9ys6EA2SfcuX4fvvvQVuybTCCkq+j1uYLMzBLNO8eqC5CFt5oueKLZJGUFOdweE1GCILqP8VgKAxEdId0I1aiKRXOhANknJExV6+B0CkFdQVBTEdAU33ojhyIBAMCuKgNkUpCJVkEeZIIg2oHxeBqD4QBCulGrnQSl5kIBsk+QvUXiYugPab5StlKZHBZffyt++th29ASNbXxq+1hV7yUUZPJUEc3GzYPsTIYhCIJoNeOxNAYjOnqC/l5R7lQoQPYJ8swwpBnBZ29Qw7SPAuQpU2W76bYNVpDxh2d3I1rFRSsUZJoRG+RyHGlqVtEULAVZV6GpRpA8HvNntRiiei76/H348O/WtXozCKJqJuNpDIR19JoB8qSP4oFugAJkn2ALkE2/UV9It4JSP5Aw/U+5HEc0mcGMngAS6ZwV7FaCUJDJYmHwod+uw/IP3dbqzegKhI8vqBnX2VBPAGOkIHcMqUwOV3zjr9i4bxrff/ilVm8OQVTNeNxQkFWFoS+o+Soe6Aa0Vm8AYSAHikFTQe4Lab5aUombHchS2RySmRzmD4VxKJqy/NNeyeW4VOatuwPkf/m/J/HMznHsOGx4uTnnYCIDkmgI4pwTVqbBSABjpCB3DHsnEnh8W3XWL4LwC7kcx3gshcGwke/TF9IwGfdPPNANkILsExI2D7JxWHqD/vIgx1JGYCEUuBk9gm9e1gAAIABJREFUQQCV1zIej6eRNVtMx7vYg5zNcfzx2T1WcAwA6Sy13m40wvduKcgRnTzIHQQ1UyjPxn1T+N3Tu1q9GYQLD754ENkcx3QqgxwHBsJGInF/2F8ryt1AXQJkxth3GWP7GWPrpMeGGWN3MsZeNP8fqsdndSp2i4VQkHVfBsiCGb3GzLZSFVhun92NCvJX7nkR63dPYsKl9i75kBtPIpOFqjDoqgiQSUHuJPy06uZXLvr8/bj2p0+3ejMIB/dvPIA33/wovnHfZkyYk3YRIPeFNKq202TqpSDfAuBix2PXA7ibc74cwN3m70QREplCBbknqCKW8s9gH3cGyD3VBcjCsxzW1a4LkJOZLD5zx0Zc8Y2/WkHZaUuGrb9nSEFuOMl0zlKPAWCQFOSOIZ7K4qt/2dTqzWgbOKfxxk+Iznnr90xa98ZwQFS18pdg1g3UJUDmnN8P4LDj4csBfN/8+fsAXl2Pz+pUki4KclhXfZXE5lSQh6u0WAgFef5QuOsCZOEhi6ayVuWEo2b3WX9PkYLccBKZrHWNAYaCPJ3MIEVF+Nue/751Pe56fr/1u6aQn78U1HjCX/SYwXAsmbHsdrpqnMN9Piv72g000oM8i3O+x/x5L4BZbk9ijF3NGFvLGFt74MCBBm6Ov3FL0gvpKhLpHHI5f8zynWr27AEjQK7U8ycC7Rm9AWzcN42fPb69PhvYBoglMoUBh6PGz2cdMWL9nSwWjcepIM8dDAMAdo7FWrVJRJ24d8N+2++RgFrkmQRQuCpItBaRnx1NZa17gabkq1o1wmKx+cA0/vjs7rq/byfQlCQ9bqzjuEZ5nPNvcc5P5pyfPDo62ozN8SWJdBYB0xMpLBZiacUvs3ynmj17wAgsvKrAqUwOn/jT85bF4nDUUFD/41fP1XEr/UUux3HPhn3WUuakuYTGGLMsFkfP6cenXnc8ALJYNINkJmdTkJeM9AAAthyItmqTiDqxeyJh/fy6k+bTikwZYl22gud3RAJxNJlBJmcGyKaC3B82FOR622Iu/Nx9+Jf/e6qu79kpNDJA3scYmwMA5v/7yzy/q8jlOL527ybsnzQG9EQ6hyNm9gLIt3EOmzdxv9gsnBaLOQMhAN5ViD88sxvfun8LPnfnRgDA7nHju5+0qHPzN3+2dgfecctavOeHT+BwNGUVelcYLIvFYES3FE26oTeeRDprU5CXjZoB8sHpVm0SUSfkCokjvUFfrcD5gdvX7cFeaRIR95jj8r+3b8CTVXZNJbwjxLBYKmtZLAJSMnE2x+te6k1cHlT9pZBGBsi/B3CV+fNVAH7XwM9qO7YdiuJTt7+ACz53HwDjpn3O8hH85p/OxPHzBwD4P0CebQbICY8Kd9Zxo/rWW08CkJ8QdCL7zAnQHev34e23PJ5XkMEwFktDVxl6g5o1CArVgGgcyYwzSS+A4Z4Abn1uLzI0QWlb0tkcZHFtMGJk/1dap71T2T+VwHt/9CSu/WleLYynyp/v2RzH1+/djLvW72vk5hHIB6nRZMZaTdTMe8Non2FpPDCdcH9xjZC/uZB6lXn7CYCHARzJGNvJGHsngE8CuJAx9iKAC8zfCZNo0rgQJhMZ5HLcuGnrKk5YOGQ1igiZFgu/+MScakNvwOgz49ViIas7uspw5rIRnLJ4yFeVOuqNvJT/zI7xvIeMAWPRFAYjATDGrEEwnSG1q9Ek0lkEdbs39R9OWYBndozjsW3OXGOiXXC2vBf+Y+fEvlt5dItxbsvlJb2MvSJoy5AS33BSsoLssFhYAfJUY0pSTrqUHe126lXF4krO+RzOuc45n885v5lzfohzvoZzvpxzfgHnnO48EnKtzinz57Djpm0pyD4Z4J1KtqIwBFTFcxULVcooF4mI4YDW0TewkGa/xMTymMKAsVgKQ6bKJTKV06QgNxynggwAl6+eCwBU7q2NcdY/Dvls/Gw1T7xkWCRGeoPWY15WJ8X+owTixpO3WOQVZN1M0hvtFQpy0v3FZcjlOD70m+ewbteE698nSUEugDrptQh55j5mJquJ5DyBHy0WI712O0RQVzwryLICIQKUnoC/aj3XG8VRZuqQObilsxxjsTQGTXuJbinIdBNqNIm0vcwbYHStBIBpukm0LWJVTiAUZL+Mn61GJEXvGs937vQyeRD7jxKIG48IkHMclt2rUEEuDJCnEumCFRQnB6aT+PGj2/HO7z/u+ndSkAuhALlFyGrHHjNpQnTMEYQDxuHxywAfTWas9tKCkK56NvcnbKXsjO8WCWgFN7ZOwjl52Dlm3JyyOY7d43EMOwPkNr0JpTI5rG0Te0LKRUHuCxnXHnWqal/EmPqZK1bhoevP990KXKsRQsTWg/lqLV7uLWKFkBTkxiP3QxDHRqwuivjg83duLMiVOO4jd+CMm+4u+d4iAFYlr6OcwEpjXyEUIDeIj9+6Hm/6ziNF/y4HhTvM+qszeu3BZ1g3VC2/DPCT8QwGwjpuvORofPnKEwAYqrdXi4X8PYQH1G/dAuuNc9/Iy2M7x+IY6jEGPa3NLRaf+NPzeN03Hsam/VOt3pSylFSQqU1x2yIUtEUzIpg3GEbEzJEop6x1C25WNi/2NjHJb9fJezuRlAJf4RUXdZAZYwhoCqaTGdyzYT8edwgSxSwSv31qF8ZjKWsFQZfEATkxj5L0CqEAuUF8+4GteGjTIev3Hz3ykm3mLgeF4nHRulkg6iC3utvcul0T+Pit6zERT6MvpOFd5yzFq1YZns1K2kXLg7FNQfbJBKAROPfN/il7BrKwWATa3GKx9iWRANScQfap7WOWXaVS3DzIqsLQE1DJYtHGiEC4xwyMZ/YbgsO+qcZk/bcb8vjbF/KeYG1ZLNp08t5OJNMuAbKaV3x/9d4zAQBX//AJXPGNhzFRJmdi474pvO9nT+P6Xz2XD5DV/NgnJ2ySxaIQCpAbDOccmw9M48bfrsPVP1hrPS4rVV+/dzMAe/IE4B8P8jtueRzffmArth2Kot9hAwlVECC7WyxUpDK5ji2v5VSQ908mcfrSYev3fJKeKPPWniqNXOC+Gfz91/6KV3/toYpe87fdE/jiXS/iUDRVoCADQC+1cvU1u8fj+O6DW4s2ShBjqlgNmGs2MhL11rsdWZRZMavPfKwSBbkzx2g/ITcFEwnDckC7cm6/JaYAwOFYqmTjkP2ThogwFkvhcKwwQI5K58QEBcgFUIDcYJbc8Ces+axR63jTgWnrZHYLJIadCrLPPHSxVBb9pvIgCOuq5yoUbu20rVJMPvFZ1xtRg1XYvpKZHGb0BLFyTj8Ao4oHIFks2vQmJAb2F/dP173TUzF2HI6Xf5LELQ9tw+fvMprUOBVkwPAh18tisXcigT0TlW0fUZpP3rYBH/vjejy61d3rbinIQVEhR8VgRKfjYCKP07P6gwioiqexO1/Foj0n72u3Hca1P32qLRrGyPk8k5bFIq8gqwrD/KGw9fvhaKqkgHYoagTIA2HdKgbw/J5JnPaJu7Bx35RVVg4gK5IbFCA3Ec7zGahutoKA46Yd8kmSnlBkABQoyD1B72XabBYLs2JHj/nesQ5N1Euks5g/FMZP3n269Vh/WMO3rzoZZx8xgjOXzQCQt1ik2tRiIQb2//7jevxi7c6Gfpaz4YxXxiWFREzQZHqDWt0SVc7633twxk331OW9CIMZZgWd+zcecP27GFN7pPFqzkAYe0hBBmAXWgbCOkZ6A1Yjo5Kvs6pYtOfY9LpvPIzfPb27LRRSWUEW26s74oIFwxHr57FoquT32isVADgczT9v32QSm/dP2wSZTi63Wi0UIDcZoVB5ma0FVAWMtd6DHAnmg4k+h4IcCai2ZZpSxItYLAB4fo92QySEyUv6/SEd8wbD+NG7TsOyUaO9uFCQ28lisWn/ND7y+78hm+O2m68zeaTeVKuy75fKIzlLKgLGuV0vBVkE8fs9BCCEN8RY8cJe90TQWCoDhdlXB+YMhGxlzboZeYztD+tYOCOClw5FS7zCQNin2mlsEsj3znZIwE25BciKfaxac/RM6+fDsVTJ1tOiQpbCGMZi9gYj0VTW9nmduopbCxQgNxkxS4sms7akvE+97viC5zJmNOJINXnmnjNbi4olGTk3oz/kUJADWoH6+437NuPk/7kL75LqLW49GMWtz+6xfg9YdZA7XUHOIayrtoDMqcIDcpm39lFpbvj1s7jlr9vw3K4Jq9kNUGgVqjfVXg8HpQDZ3WJRfw/yw1sOlX9Sizk0ncQ9G/zfRlj4+YsdI6N8n2p1IgWAExYMYsPeKWw7WD4Q7GRyOW7LhxgI61g03IPth2NlXyuEjXZc3RJlNYH2EGGSmRz6zBUQtyQ9ALjy1IW44qT5AIBfrN1hC3ydq2tCQY6mMgUThGgyY6ua4Rcrp5+gALkBuHkwZ/eHAOQHm6lE2ir8DQCvP3mB63sFVKXpA9OmA9P439s34I71ewHYzftuFgunGv7J2zbg4HQSdz2/H4l0Fp/+8wbc8Otnbc8RZe66Q0FWENJkBVkreJ5QCdrJ5ycmSy8dikI+5eUBPZHO1nVp9i03P4p/+b+nPD//2Z3j+NUTO8E5txXYd03SczmXq0VMEtpBvbz6h0/gHbesdW1A4OSmPz2Pxdff2oStKkSogcVsMMlMrsCm9vpTjHH1z38zxrIdh2O48bfPtWWwVwtOm96AqSAfnE6VPefzVSzaZ2wCjGN+wefus35vB49tMp3FkDl2iPNcczSb0lXFEtQe3zaGr9yzyfqbSMTcuG8KP3zkJeu+GktlCwLgaCpjVU3qDWodXW61WihAbgBJl8FXlBwSJ+n+qSQWzYgUPM9JQGt+gCxulEKpGZdmqDlH8N8TNCwWYlLgTIT4/F0b8dW/bMYjW+zL7gfNEl0R4UHu0IvT1WLhpiBr7ZekN3vAmPRt3j9te1xW+I76z9vxtu+5d26qhgdePFjUg+rGZV95CO//xTOYiKdtynPQxWIRqWPbc3E9CAXHL9y38QAWX3+rzfohWhA/uX2s7Ou/ef8WAK05T70oyM4AeWZfEJrCLP/5/96+AT96ZDvu2bC/sRvrM5wCxEBYx0LTyyqrrG4k2tSDfM/z9mM87dNVyi/ctRG/ftLI20hmclZlo4l4GprCbCsiAvmxBzcdtH4W8cUrv/gA/vO366zYIZbKFNxjo8mMNSYOhHVbAP3sznF84BfPYJNjbO82KEBuAG4zVataQyoLzjn2TiQwf6h8gKyrStNvRlYiYdLwKEVTWbzr7CV425mL8fIjZ9qeGwloyPH8pGDacRE+9dK47XdRP1l8Ro+0XzqRRNpY9rVZLELFLRZ+vAn96bk9OPl/7sTP1+6wPS66z/11s2EjOPuIEQCF9TTlAbxVOIOAkEuSXqSObc/F+fzcrglfLV3+8OFtAICndhjX5ZSkxj75UvkAWdCKxGFREUZWkP/47G687XuPIZfjRoCs2m9pjDH0hvIrA6IbWTso+/XEeQ72BDRrglsuUc+yWLTR6haAgg6vflWQv3DXi7ju588AMLvVmuVeE+lcgb1C5j0vW4oVs3oxbzBf1UKMO0LtF7aKWCqLWCqLo2b34Zo1y9EXMjrYithiMKLb7sGfuv0F/PKJnbj3he6aSDqhALkBuLVOFl7beDqDyUQG8XTWsl2UopUK8nQybdkrFs2I4COXHWPLEAfyJZXE4COCo/e8bCkA4DEpYettZy7G/7z6WADAIdPfHOmCKhYhXbFVTRDZ+DJiGe0zd2zEq778YNO2zwtPvjSGg9MpPOLw04rzcq0ZWF1x8nwcM7ffUvj8VFZpmyMZyV1BVpHO8pqvt2yOWxPGp7aP45qfereENBqn111OXNxdgdrdisRh0YZ3Opmxzq3P/PkF3PvCAdz1/D4ks4UNYABj7J1OZvDpP2/Ajx/dDgDYOVbee9tJOAWIoKZgVp+3ANlK0vPh5L0UzpVcvzcB4pxj13gcC4cjVtBbqkvtDa88Gnf827l46Prz8fU3nQig8DiL+3c0mbEC5OsuXGHZycRYNxC2B8jCy+ynyX0roADZhYc3H6poGdeJm59WLKvHUllrQJo1EMJVZyyy2ja7oaus6b5UYX+YTmYtRU20bXXSY7VzNdUdM6P2+PmDtvJwgBFkD4R1vPbE+fjBO041X98NHmTVduN2thQHDKVLN9WC53ZNYCKWxtU/WIuP/P5vTdvWYojyWc4bjFOhCeuqLdGt3se0loBbJGkJhVFT3C0WQO03BacKfed6/yTACQuCuDHK9qlKvnci1TqLBef5laoTFg4BMFYx3CwWQN5b/tW/bLYe23ygu5L2nIFTKKDmOw2WU5AdqmS7UBAg+1RBFuyZSCCWymLBcATXXrC8oteKrrvxtP07igBZKMii7n5PUEM0lQ+QByM6do3H8eW7XwSQ75rY6hKzrYYCZBeu/PYjeOt3H6v69c4b5IpZvbjuwhUAjMFG+BJn94fw0cuPtWwHbgQ01dXT3EjyCnLGGliFRcSJpSCb31ksfw5F9ILAXyjmn339KpxlLseHO91ikTGqWChSooWzpbhADtq+cPdG3LF+H27567ZGb2JZ4uaxdd5gkpkcVOl7hQMq+kO6dQ7U+4bkFnB7bUqy7ZChGA6Y/j4321K+aU1t2y0CiuPmDQCAp1yDZiEmCOLGNxYV3boYEukscjnuqV5sSywW0meKSZjwUMbNklVuAXJPUC1Y1dvTZRYLMZn9wj+sxr+efwRWzx9ESDcaqeybLJ2cKY51O+VHAIVVN/xosZDHr4dMK9qCoTDmS7YJL4jJ/Wu//jD++Oxu63FxnRhJehlrjDOS67OWbUZYjz57p9FIScQcbtf5dx7Yguf3TFa0fe0KBcgN4OC0vd7g1950EuaYfq94Kmv1RB9xWWp3ElBZ8z3I08KDnA+Qw0UCZHFhikmBsFj0h3VblQ4AmOliKQmoCjSF+XLwqgfCYiHjVkEBgKUgA8D3HtoGoLB5TCuwFGSXAFkO9g0FWbcGZTmZStwIPn7relz8hfur2g635KxSk0c5oBIK8lCJAFmc424WqUoQ18zbz1qMd5+zBHsnElV1F9xxOIaN+9xr/laLaDoggmBRImrOQBjxdBZfu3cTVn30Diy+/lasLVHPuhUWi4RLlzFhu4ils64eZMAIBpzn7t4uq08tgsUFwxG8/6IjrQn7rL5QUQU5lzNyZdq11bRzhcuZH+MH5PFLJMkuGI64JnKXQl6tFfcOmYl4GtFUNh8gB1SHxcIei4hj7rzOk5ks/ufW5/Hbp3ZVtH3tSsPvvoyxbYyx5xhjTzPG1jb68+pJtZ6rZ3eOQ1PyS+a9QQ2aqhitPdNZ66QrFnTKtNSDnMhYalhRi0XQHlRMmkFMf0jHTEeALJJCZBhjZnJU5ynInHPLYuEFzXFzXzbag1Qm1/JGMWLy4wxQU5kshiJSgBwwLBZCQZafL4Lsbz+wFRuKNHooh5siffODW4s+X/jcgbwH+eqXLQMAHDd/sOD5PXWzWORXXeYPRZDM5PDQpsrrIZ/zqb/gos9XN5kohgjURYA8HjP+nzMQQjyVxZ1S5n+p5MrWKMg5q0SiOLfEdsRTRkZ+MYuF89yZShRm9Xcy4h7i9GiP9AUsS52Tj/1xPU6/6W7sM+8HmTZL0pNXQhTmTwVZHttFIvGs/pBrIncpjpzdhw+/aiUA2MZkJ2FZQU7lk/Tk6yaWylh2JudYKMQ9v9tV6kWz5KmXc85Xc85PbtLn1QX5BlsJT+8Yx1Fz+vCm0xYBAHrNQT0cUBFPZa1Zo1u7WycBrXlVLP79F89g8fW3Sh7kjORBLmaxEB5kp4KsFXhtnQGz/B6deLNKZzlyvLhi7MRZH/nClbMBFFaFaDZi8uMMkJOZnE0dD5vl7ERSjzyIjjmupWraRU+51L/99J9fKPp8+TPFqs4lx83Btk9eYsv8FtSrJrfwAUYCGo6a3QcA+H+/ea6m96wXIniflBRkVWEY7Qsikc7artFiViCgRQpyOoslIz0AgM0Hps3HRBmrUhYL9/rWfivB10iSRQLkUqUNhb1rq7mv201BHovlx4vRvmDdmwDVA3miKQL6sK6iP+wuSBVDVRjeftYSnLN8pGDC85bTF1k/R/S8grx3Io5EOguF2e8x+yeT1vXtnAgfnDLG0U4UtNxo/fqtz5CXQr0UzpeJpTJYfP2teGjTIZy4cAj/eelKPPahNdbyR1g3ykgVm827oTexk94vnjBqMR6SZollPcgiSc98nrjIe4OazZ8K5DPonRjtqjvvghODi3ycna26ZYQlJaAp+PCrVuKYuf0A4MkT2kjilsXCvh1Js4SdIBxQjRWPbA6cc1tS33jM/lq3YLccbje4gRJLkc6gSGHuLaYFoqJKrQqy3ATntKUz8NoT52PXeLzpAcZbbn4UH/vDettj4noWx2MslsZgWEckoCKezloWFMC7faVZJNI5rJzbjwXDYdxhNv4Q2yECZLcx1U1BBlDWe9tJiHuOcwIhjrsT+RoQq4Lt1MQIAGLSMT9iZq81qfITtv1sjvNBTSlIcPfKSG+wIEDuDWk4eZGRzCpWgk9cNISxWBrffWgrAppiS9bdPyUHyPYx4GA0L551A80IkDmAOxhjTzDGrnb+kTF2NWNsLWNs7YED1VeOqBfyzGj/VGUKw35pwD1z2QhUhWFmX95WIKwEwhvlJUBuRSc9zo0ZqT1Adr9g8/WdjQtmx+EY5gyELLvATa85DtesWY7PXrGq6OdFApptMPPK3okEVtx4G+6roeJIIxH+SKEgP3HjBXjo+vOLPl8EyJ98zXF4+1lLLB9aqwNkoagm0jlbkOdc0g5L1TrSWY7HJQ+rc4VgLFb5d3IOyktGejCr331VAjB8qWK7AENJdCu6L6iXguz07Z91xAxkcxwvHaquckI1/mXAaKry3YfsFpS4YyI7EU9hMKIjrBuBklxWyrm/5SoirbBYJNNZBDUV564YxePbxsA5lywWWfN8LN4hUXfUlP3Z49ubst1+oNiqZSSguXru1+2eKHhMVDZoBzjn1vUPAMfOG8ALe6d810FRjjcm4mkENQWKwgrsdl4Z6Q1gtyMBNaAqGDRtF6K85VtOX4TBiI5EOgddVfC+C1ZY95+9kwnrfEmknApy0txuCpDrxdmc8xMB/B2Af2aMvUz+I+f8W5zzkznnJ4+OjjZhc0ojF6GvVEGWbxpnLJtR8PdwQEUibVgsFFboOXVD15qnIMssGo5gMp62kniK+aXzFgvju28+MI1lo73W3688dSGuu3AFXmv2jnejWgX55ge3IJXJ4bbn9lT82nKs3z2JHz7yUk3vIYINEaDN6A2W9JZdd+EKHDW7D+euMK6DAZ8EyPIgLqvCyUzWNskL6aqVJHXbuj22ChwJx41pLFa5fclZZq4nqJa84YnBXXQMK6fKROpUUUW2WACGegWg6q5U9axiI25sQl2PJrPoDWoImfav6WTGslY497cccJSqz9ooEhnDz79stBfTyQwOTqcsO88L+6aw9WC0aJKe09HzhlMW4E/P7W3GZjcdzjm++pdNtuS7lCnKuCrILsHO09vHCx5LZ3nVk7Vmk0jnIG/qsXMHkM7yuie91krCYbHwascrxmhfsOBcD2iKtTIk7tOMMSwwG5UFNQWLR3rw5/cZodmh6WTRKhbCqubXroT1puEBMud8l/n/fgC/AXBqoz+zFuRlXFHT1yvi5vNfl650XfrNK8g5T/5jAAi2QEEGgEtXzUUmx62lzGIWi6CmQFUYPnvHC3jipcPYfCCKZaM9FX1WX0ivymf7wr5p8/XVLUeV4pIvG606aymOL7LuvQ56R8zsw+3ve5nl3Rbn0GQVdoR6EktlrIorN/5uHQDgb7snsG7XpK3hRlBTLJXu2p8+bXsP55L8RBUKsnOw7gloJa8N8fwFw4bf2NnkxolVkaXG5UOnLUn4Zt/7oyfxu6crz/6uJrmomAVCbJv4P501FKSwbpSTnIynsXxWL2b1BwsUZHm/NLuBQDbHkc5yhHTF2p/bDkULzgk3D7IYH2SLwJyBMFLZXFVeeL+z+cA0Pv3nF/BPP37SeizlkowFmPekdLYg8H1qxxjmD4Wtyb2gXfaXU+EUVaSqzStqFPL5m+Mo2N+VMuJSYz+oKVhp2vVEUj2QT5oXk8qBsA7G7N585/V1yLRv1DpGtgsNDZAZYz2MsT7xM4CLAKxr5GfWihyoVeqTFDed4+cPuP49bCZEJNNZ105ebrSi1TQAXL56LnoCKp7ZOQFdZUX9w4wxRHQVmRzHa7/+MKaTGSyVFGQvjPYFC0rjeUEEAYej9Q8gxf2ilgE1YVksqrvMRNJeNcFkvcjmOBLpnDXw3vqsodZf8iWj25+s2DHGCpa4Lzl+DoDCgK0aBdmppPYGtZLtb8X1uMBUkMv5ZvMWixqrWCTtAXJfSLeOpXPi4On9qtge2fMtf+94uniADBhNgnqDOnqDGqYcN8FxaWyst8UilcmVnOzIuQ0iQN56IFpwTN1sa8OOZMPvvf0U65psdYWYRiBsRLIXVSjtzv0TDqjgvPDaenr7OFYvGCwo1dkuPmTnNeNskOMXnBNN+V6hMKCvQi+yW6WogKbgqjMW45tvOQmXST0XxKRBlH5UFYbBsG5rw+7cvoNSCdhuoNEK8iwADzLGngHwGIBbOee3N/gza8KmIFeY9SqWL4rZEcK6YlWx8OI/Bppb5k2+OOcPha26xeVmtTmH+jC3wiLno31BHI4mK1YnhMd3vIpgyyvlukyVQixDV7tsJhTkavy69UIoMZccZwS6zuoPTpuQU6G64OiZAPI3aIEzac8LzmBGVCdwWqE+8+cX8JabH7Wef9oSw+4kAqtiiI6HtVpa3Hz7xSaYxZCvhWoSYsbj+WtC3j9i24TPWlR+EGPWgakk+kIaeqV61oKDU3LAVb/Acv+UkUvwihL1sYWf/fj5g5g3GIbCgB1jMU8Kshwgv+shULqMAAAgAElEQVTsJXj5kTOta7ITA2Rx7sjfLZXNgbF8S3tBvhNq/ljvn0xg90QCJywcsgJkcQ9It4kPWZznn37d8Xjmvy7yb4CcdgbI+XvF3z56MR6/8YKK3s+tOk9ANXzNrzhmti0HQwTTcvm+oZ6ApSCrCiu4PoRg1IlJ9W40NEDmnG/hnK8y/x3DOf94Iz+vHsiqyU8e246/mckKiXQWn/7zhpI3K+E97Cma0KYhls5UZLEwFOTmzNplNTCoqVaSWLEEPYFz+4qVcyvGaG8AOQ4cilbm+RYB6OGGBsjVZ7rHa1SQNVXBQFivSm39zgNb6pK1LW40w70BvObEeXDmuEWTGfzpmnPw1TeeCKAwQBnuMc6FRCZruzlVeqyBQpWrJ6ghns7ilI/fZVsi/spfNuGBFw9a6seao2fitmvPwaded3zZzxiKBApK0lXC/RsPYCqRRsC0HgmKLXEXQ75xOtWaHYdj+Ovm4jWKAfsEZL8U2MYdFotUlkNXFevGHE0ZnuS+oIZpxwraQWm/1FNB3jNu3JC3HiyexPjIlkMI6QpWLRiApiroCWo4FE3BaYlVXJIw5XJ14nuKgK8TW+mK60z2iQtRxpmk6tbJdKNpXVs5p98ay4VNpV1qIYsJ4EhfEAMR3bq3pbL+Ot7OAFQOkMMBtWJxxU1BLrZaLTzIuyfyivFwJIA9ZoA8FNELrg8x2Y4mM23jR68FKvPmQCT2DIR1JDM5ayn5tnV78NW/bMZnStRdjTqWVp0YdZBzBclNpWimghx0XIxiWbjY9xE4kwhnlqgs4IZQKbwmRa7bNYFv3rfZ8vhWo0aWQr7wf/TIS1UPBHmLRfW+shk9gYptHvGU0e3o1V95qOrPFYgJYW9Qc62oMhZLYeXcfstK4UySEsFJPJXFZV950Hq80gRYoPBm0iv56dwCnbFY2mzYo+DoOf2YM1B+ZWMwYkxIfvnETjzwYmXVUe7feABv/e5j+M6DWwuuGXEKzXW5gbkheyidk/I1n7sPb/z2oyXPS3lVZcJUk1OZHKaTGagKQyqTQyZrVCUJaortHO0Naa6l0YSCrDDD8nDGTXfjN0/trNmXKo8fzu5ngu2HYlg60msJC31BzaZoC9wUYVlBFuOuCBou/fKDOOdT91S/8T5E7EObglyky6A4T+XrR0zIR3oD1tic93H7S4EthpgICrHKtwpyCYtFNbgJbwHV/f6zYpZRo10eRoZ7AlbAPBA2AmR5nBFWyEyOt6R4QLOhANmBCLqctoKwblxot/x1m63XuYzVda6IbyiiGxnDyXTOswdZritbjOlkBtf9/Gnc9KfnPb1n0c9yDKBiib9ccpMMY+6JAqUQg7BXH/Lrv/kwbrptgxUYH65z4oUccN+38QCe2VlY8sgL9QiQh3sCOFyhP1uoJ04PaTVMSK3DZT+8UEedk5OAZleoRHDyuTs32jroVRMguynIArcayS8dinrqVikzFAng/hcP4gO/eAZvufmxil67Yyxm/RxxHPObrzJ6JDn9sMWIJWUF2X4TFTf5UlYQ+bjEU8bzhX9w8QxDORLtmXWV2ca73qCG3pBWsE/3TMShKgxzB8PYORbHnokE/u1nz+Aff/SEp+9UDDlocVbOEByOpTCjN7/v+kI6Drh0gHPzRg5GiivI47E0dhyOF7ymWeyfTOCWh7bWVY0Tdib5eklm3EvgiQBSVpCF13wgomPUkTDstwBT5vk9k/jJY0bpPnEeiAmAXwPkqCOht9YkPTeKrVq5Wc6GewJWwCx+FpOnXI7jcDRp+aLdygN2GhQgOxBBrrPmozwb/79H3etnisCk2EkuMoYTmaxni0XArApQymbx7I5x/PrJXfjm/VuKtg2thDVHGb5RYbEoVWvWyXAkULHfUgTUXoMmccGKAGEyka6p2oQT5/L/czsLSx55IVmjBxkwA+QKJwBykHD9r57F4utvrfrzxT4esAJk4zwUJdOcQZpTrRDKkzO43V8HBVm+hsZjaSQzWZvCte1QtOIbzlCPbruJVhK4yEvazknyaUtn4OVHjiLjUW2VAxb5eMrbI1rTuiEHt7FUBi/um7J8vItnGDfGWDJbkKQHGOfrYFi3HdsHXzyIbz+wFdkcx2BEt52Td6zf5+k7FcMWIBeZ1I1FU7YWur0hzRovXr06n3jkltAoW12EQldrOa168d4fPYGP/GF9yWNZKUmXsbDYqqVlsZD2+4SpIA+EdWs1UIgYfuxGJ3jb9x7DDb9+DhPxtHWPEIFn0ByX6lkysR4cmk4hElCt8p/1OC+//45T8b23n2IFxsUCZLfHh6QJvLBgiP4OY7EUchxYaE6wuyFRjwJkB+LCkgPS8VjKNnAXS9yKp7II6UpBBzlBOKCBc6N8XCUWC6DQxuC2zQBwz4b9nt7XjWQmh4uPmY2vv/kkAHnVwMvStEBWebwilECvfkC5nm1QU8B5fWsFi5vA9952CoZ7Ali3a7Kq97HKvHk81m7M6K3cYiHP7H/6+I6qPxuQWoeHdOgas87DQbOu5nUXrrA9v7CMlPvqg9cA+ZdP7MTi62+16ocX+6z3/HAtjv3wn20lil46FKtYQZbVRqAyj6ocwLvZkgKaUpCsWAzZYvHBXz1rdcSTJ5HOhgAyslUhkc7iws/fb1XQWGwqR1Gzq2dAU2xLuwFNwVBPALFU1vpOcv3YgbBe13JZSQ8B8uFoyqa+9wY16xy66JjZlkJfrMlLjwiUzEmV87xoVfmyLabvutbmNDJu51ixLoNutb/HY2lEAiqCmmoFxrPMhO1W12QvhRgPntw+JtkdHRYLn9kCDk4nMdoXtFaU66Egn7tiFC8/cibmmwl7btYawW3XnoO7rsu3phiWxj8xTuw14x1xzYskfL/ty0ZAAbKDeDqLgKbYblA7Dset3999zhJsORgtqLM4EUvjm/dvgaYU36Vh8yIYi6U8B8hCjU17qPcKGA0uqiWVyWL2QMgaTHQz0B/yuCwM5JsyVIKX7ygjB8iiVE09Kz2IwbUnqOHoOX3YUGVx+XtfMDystSrIY7GUrYtZOdxuttUsLV79g7X48SPGaslAWEfQtFhwzpHjHK85YR6uOHmB7TXOAFmeLL7vguUA/j97Zx4mR1Xu/+/pqq7eZt8ymUz2fYEkEEISdghhExBX0Mt1Q8FdLuoFEUWR63YVva6Xn7hc9aJeFRdAEBBEUJYAhgQIkJXsmcnMJDPT03v9/qh6q09VV1VX7z0z5/M8PGR6eqZrajnnPd/zfd8XOH1BJ46MeKta8vU/a57/vuE44sm0EehYP2vXkSiSaRV3PJbtHJfKqIUryGFz/fJCFDM+QLb7XEWWPE8qViWUOuLxJZj2uQbI2c+x/i6a+Kj7nF/ymdT4gOwzFkBk1aB7+PoLFqEp6DfqoQLaBFzI/WmFPyd2FotkOoNjsVSOgkz3dEvIb5SWXD27zfYzFnZrfku/bgEKWnbwahX40d9bzjwKu3ssnsrYKoZGgJw0WyxadHFkflcjFNmH43tbANR3gLxwilbr97ndg8b8HA7Ut8WibziOzoaAEcRa84BKgQJZt0oti6c2YV5Xo/E1vwidrzc4ItGBPP+URzFe/OilIAJkC7FEGiG/hPefMdd4bSSeMoKmeV0NUFVta4TnZ0/uNt7rBK1mh6JJ7xYLLwqyPgE2BuWi29kCeqYzpyRRt5xIHhVu/eIpxr+pC1wh0ODg9YHjgy5St4up9OAEXcNIQMKUpiD6iij1NjiaMNT80gLkANIZtaBAjba++I2MYrbD/vziITylb8s3hWT4JU2tT2dUxJP2E661nS/PWQu7sPOLF2L94i7PVUsk/ffFU5qCvKC7Eb95/zo8cO3pCNgoIy8eMC8Qi/Eg8xQbINspyAHZ57k8mtOkZt7Jcj5/5C0GclVwWsSOxlNGkp614QudB3quSJG+/KTpaAr6jW5dp8xrRyKdKUlRzmexoOCxLZJdvDRxzYFawgpmd0Tw+PVn45rT5+b8vHacHQCA/mHqDGq+d8qdx+AVstyUM0Dm7zG6j5wU5EZ9a5+v+T8UTaJZv/7T28LY+vnzsWaOtvAopqFTtaACHQePxbKlFvWxV/IxIzm1GB57tR8rP//nsjdt6quAgky88cRpAICpLd4SgwFzgHz8dG1RRFUtyPM/lRTkOltsVAIRIFuIJTMI+n34tw0L8dsPrAOgbXfuGxpDyC8ZtgPrxOkl+YYm65F4qqBGIYD7zUiD4OKpTdh1JOr4PjdUVdUCZC7ooG1Xa7F4K999+wn42yfPwifOW4jLV88o+LP9hs/a2wPHN84wFOQyTnCjXOUGamJSaBINqbifv3Spo+XGC5QQMRz3PjDT5NDOJUsWWkuX/3uDfk1hpILyybSWwWw34brtjLSE/WCMGc+Kl6CAdmRG4tp2f1CWcOLMVsyf0mgboB84alZVC51wqGYyUUizIJMH2cZaQgm3XnB6H7/QcVv0xFMZBGUJiuwzZcqfPLvN8IVnk/R8puvGK8jZAJkaTUhoCmX/thltmhptPe+FkC9ApmNotVgsiFY9cJ7WEoLP4Vl7/5lz8e5TZuPNq7SW91aBopwLbK/wqvvRsfJ9Pn/vkPoXd8h7se4UvHJoGA++dMjUndTnY0Y+Sq27errBN446NpZEyC+Z6rTbVeHxyjcfegWD0SQ2F5mw7UTfsBYgk0hUahULnstW9mLTZzZgUXeT55/hn7Ge5iAagzK+q7ctJ1FwqlCQJy9jybQxqdI23M1/fAG/fmav1tnGZsUNZD1sdi2mCV5V8mqxCHhQkGliXtzdiD0D0aIS1uj381s8Hzp7Hm64YJGp+44diuzD9LYwPnjWvIIT9ABtdc8YXLuiEfdtOWCqzkCr43JOcBTcRgIyOhsCSOhbvIVAHnZKvigW2iIspJsaBRl8NZFCk2v4+43+BmOxls7olVi8lxQCgJaQNviSOulFtaN4ZySWytnhsLvXKCCg4LnQAPm43ma8c90sXHhcN4DCzhtvbXFWkD0GyA4TOX88bgFyIq2dq7AiYSyZhl9iuOaMufjl1WuNygXDsRQyqnYeFVOALBnXiAInOm5F9pnu6Wn681dKcnCC80vbnW+6T0wWi0D2GKyqvx1hRcZnLl5ieMytuzq1UJD5v7W8CnL23qGSXQkHi0VAlhBRJOPv/9HjuwAAO/rMO5ENimyU96sFv35mL37wtx2u76GF4FA0gcFoMke0KmSBaoXm9XJ672PJNI6OJdHZEDDqd5c7ebQ5XNj8w3uQGWM4Z1EXhuMpvO+nz6B/JA7JxwzBrN4SHiuBCJAtjCXT2VJA+iRHZYBGE2ljZW0dyGn1+ugnznL83SFTgOy9UQhgv1q7b8sB/M8/dhlbqHO7GpDKqEU9xFmFKHtLhBUZV58xN6dbWrlhTKtVm291v71vBNf87FnTa92GxaJ8A7dhsVBkI8gsNACg6+W1MYQTdp2u8hE1AuTsYFeogsxfC5ocqKJKIuVcy5v/e607D/TsGNv3Hu5TUt9H4klDQbb7LIIWJtRRqtCa3ABw8yVL8dFztOTDG3672XMC17Ex9wBZkX22FQaA3IDY6Vmg+6CrMeCa2EV1b0N+CcfGkkimVcMqRcdG1QoUOdeDbLVYJNJakC1xaiKQvcZ2gdNfX+nDp3+32fEYjWPlzondfX6Mq6RCNHAKZzFBhdV6U47qP4XCn7OhMgae/PncrzdhSaTtA2RAUw3pWaTdgS+8fqnpPaQi1ypA/vj/bcIX7nEvY0rz4EA0gaFowlDHiVJ6CtA9v2eguB1aO/7vmb0AgOXTWwwbw/S2wrrQlpvWiPmcfePylXj7yTOw/fAIjowk0B5RjLFivLQdLwURIFuIJdPG4Gm33dHgsOVNAWZQcT6lvJrlNXBSLBaLnz2xGz/WE3au+dmz+MzvXzAUImPrtIg2kKQ6eFW2y43C1dh14qmdmh+2uyloKIttYQWK7Cu7xcLHtOtfaAk6gq5XMYo6D1X4KOSaUm3NTpPForCJjZ9IaHKgvyWWTCOj2t8r/H399I3mNqm0/U3KjpdFjaRbLIZtFGS3Z4gmx+lFJI0C2QBs39AYXjrgLfGV334O2VgsArKERCq3pvmmPUNY8Ok/mRqTOCldtNCZ0hR0rUPKt5CmBXPIEiCTaumXmOlaKjZJevFktvsnb7GgANlOAX3HD5/Cz554LW87Z/5es1OQ+WY11s8tFmtlmd1FWtNK4ZjF91suTAqynsipXT/756UtohjdSMcSabSE/Th/2dSc9zXXKEDm5wU3qxsFyEPRJAaiiVwFuQSLBQWDr5XxPnlk62HM7YzgtPkdRsItNe+oFQ02PQ96WkIYiWs2046GgHEfJVMZfO+R7ca8PBERAbIFXqWyZjoDWYvF83uP4pa7XzS1ombMvaQKv+Xd2+ptpUhBAA0Sn/7dFtysl3wiRmIpBP2S0czEWmHDC4bFwqOyXW78EssbIJOa9fDHz8SqWVrSSEjxoS1ceK1gN0bjaUQCMhhjXBOTAgPkNAXIxfuPgWwwMxpPYSSewv9tzF+2bTSegmxR+kqxWNCgSQEy/S67e8XL32v1t7pBj9NIPJWrIFueNV4xIn9nMVVVAJg8mF5rF/P3oJPFAsgNfr/z8DYAwNYDWrWUkXjKmMhli6d2JJ6GImkBrNuugBEg+yXDO0i+aFp0kWqpKchmi0XQL6EhkK01TK2KAbNtqF1vJf6P7Uccdzncqm3QsQLa+Gi3EKX7jb8mq2a2uv7OfFh3xbYfLr0te6HwwWZ5PchpyD6GjoaA4Q2PJtKOCat8e/VoIp3T5IZoCtYmQObtHm73fIyzWAyMJnJKNgZcdnDyQX/3wSIStp0YjqXQ2Rgwtf+eq1djqRV0LBuWZBPvqRvqY9v60dEYMFntvnzfVrzlv/9R/QOtEiJAtjDGKch2AwoN0j96fBfueGwnfvoPrXoFTd7WXvc8fFB8wgxvAzzdjG5+H2qIYLQNLUpB1n6mVEtAsfg9KMiDowkE/ZoqRn+rqmrKRqnJI2d/7RFc9ZONALRBmILCVouS5hUqWVeyxYK6FiVSuO5X/8Qnfv08Xj7oXnYumkgjzJ0joDSLhREg638Lbe3bJZra/b3/8+7VuO2ty42vg/q96mXRIenPk50Hmbr29TQHceWamTh7odbgRvIx43npbS1SQeYUYKfublb44M41QLY8yy/opRlDioShaALLPnu/sZ3M70A88vJhfP+v2wFo1hu3hTBtqYcVyagWYjRNkH3wsew9rUg+U8AY4JJzKXOdt9RYm4owplU8+fffPG86BtqBy9cEI64fa29rCPuGxvCHTftx9U83Gt83FGQuQKYSVuVie1/1A2SyjjQE5LIryIrsQ09LEPt0i0U0kTLsWlasCrJTID2tJVRWBdUrfGUmt/rpRsc3VdsRsJZsLMViQXakclZuGI6nDC/9lWtmoqNBqYsGNq/eegG+r/dCAMzJ3tecMccY44vZqR5viADZwlgim6TnlKXPq2Qv6cEKVb9wgzFmBMmLp3rLLOXrN/LbS7wvckffqCloLObGjdXYYqF5kN2VusFo0vBGGt7cRLosW387+kbx4EuH8Nir/fj1M3uNeyBUwKJj2+FhvKrXTKYtObcdBS9EDAU5jef1DOp8v3IomkBDQDYFaUPRwroN8hNBhGqJStlgVfvaJkC2ee30BZ24bGWv6bVoIo0fPb4L/9zj3qWQzqOhIHMTCD0O3c1B3PL6ZZiiZ1eH/BIu1hNLi1WQfT6GK1ZP1z87/70VT6VN96BTFQsAOO7mP9v+jlgynRMA8GPNdx/RguNEOoNIQM5vsZB8CPqzCVh0PzDGEFZkQ7W02oDoGnY2BtB3jFOQKXmZu6/8EjOug3XhRgur1waiuOl3W7DDIQhN6NVzeltD2DsYxUfufA73v3DIGOOGY6kcnzQA/PYD63D3h091PAdeWdrThNcGolXPyqf7ZUZbuLwBsq729zSHcGAoqyDbLdoAUpCT+vtSjs19FnQ3YteR0byWmXLDi0OHXUobRhNpdHHWG2vyZkkBsn6t+AY8pTISTxrlCm95/TJs/PS5ZfvdpeCXfKZqMHzzr3VzO4wxacBDmc7xjgiQLWiBbnYiIU6e3YY/fOgUMMYMmwWg9X9PZ9ScyduJ335gHe76wLqCPcjJtGp4SwHzdu6+oTEEZSnbNrSIAHlIXyFbt6WqhSLnV5CHotl2s+ct06oMzOtsQFNIxtGxwm0lBL/Y+Jc7ngSQ7XBFgbKXjmrrv/4ozr3tUaQzKhJp7f2lepDDgaxthjo4um35q6qKJ3cO4PjeFtP9+NX7X8YpX/6LcZ3zETcFyBaLRdxZQXbbQeGhZJRNeQJkOu/HSEHmnhs6D1QKjhSjdEbF+8+Yi+dv3uCp/KITHzhzHgCzPSWWTNv6IPstddFtk/Qc7gU6ZWOJdI4Vhp+o+GC/ISC57grEU2m9Q55kLDL4wCesSFkF2TIW0XXtagzg8LBeJozzsPIKMn9/dzeb661SQPvE9iP46RO7cem3H7c9VrKD9LaGjaQyILtTMRxLGuUOeU6Y0Ypl05odz0E+qFzVvK4GZNTC8wxKhQ+Qy2ldoPPZ0xLC/qExrW55KuMY+LZFNLtOPJV2tWIsmKKdp2qr7aYAedje4pDR/8YTOetNjoLs4kEejadsk3F/9fQePPTSIaN8ajm7xw3HUqZdkXqlI2L2+9M4lq8YwJ6BKJ7ZPVix46oGIkC2oFksck/LW1ZNN7oJ0QQxoy2MRCqDL977kqn6hRtdjUGs9GivAMwKcj83gFu3p4OKZAyAxXiQaYutlICiFLx4kAdGE0aW7SXLe/D8zRuwpKcJTSF/SQXs7fzLp+sNT2TJB0XyFbToeHxbv6GGl2qxID/gaDxtNGdIuWQPbzs8ggNHYzhzYWdOGbZDx+JY8fkHPFVlcPMgj7h4kAm7gIbnTx89XT8md08f3cv9I3Goqtn2RKEjKdzk8R9LprWs+xJL7NHfTYFo33Aci266Dz/US2HxWIMruyDDqfY5XY+xZDon6OVjcd5WEA7ksVikMlBkyVSfmD+msCIZHmTrIo6ua1dj0FC0eYtF0CHZeKolQKZSmNQwZ9ghCKGAblpryHTf9Q/HsfrWB3HP5gMVCSSo0gkls5ZSy7kYjsWSkHwMPS0hzwtXL1DN456WIEYTaePvclSQubrkY0lnpXmhnkBGXvlSOHg0hstv/4en5GpetXXKNYnp76E5GgBOsPjUncq8jcZTWPrZ+3GrpUrGrv5RfPI3z+M9P8nafcplsVBVFSOxlG1SXL3R0ajdH7T4oGd+YMT92p32lYfxxu/9vbIHV2FEgMyhqipG4vZerbaG3MDxvafPwaLuRjy2rR8xlyzhUuCbaPCdx6wBckiveQoUpyDTQGUt81ItvHiQhziLBZBNFmouMUC2BmlfesNx+NE7TzK+DimSp21FGjj2Do4Zf0upCrLPxxBWJPz1lfwVDgBgv14uaF5XA5z6k+wdzO8jTLgoyGQ5cLrff37Vybjv2tNdf39DQEZva8jIsneCrC20Pc8/myfNasOHzpqHL7/peADmJNhyQH83LQjovP1h0/6c91KATM+rXZDh1Iae7q2xZDon0e2EGdqEr0g+8JezISAjmVYdt3xJbf/UBYuN18KmAFnmFGTzjUL3cVdTANGEdkza79NtRw4KMu9jTmdUo3Y4v/ty6FgMn//ji3iFa99OfunXHTcVa+dkG7W8sP8YDg/HMRRNmhL0ysUHz9J2CE6Zr3XZo1Jb1eLomLbF3hr2YzSRLlvwReeTFlTb9AREqqluha9L7mbFmNPZgIgiYdNe910fL9z+6A48sWMAv3l2b9738g14nHbyaJwIKxJuet0SfOTseaZgGXC2WNAxPLT1kOn1+184aPp69ay2sl2jeCqDVEYdFwpyWJFx53vX4If6nEjPfC2a61SbigfIjLHzGWMvM8a2Mcaur/TnlQJlj7fbBMPtnLL631eeiGXTmrB2ThtWz27DgaMxxFPeFORCocnqiR1HTHUgaUJeNk3zMof8UkF+WSsDugfNS9H9SuCXfHkbhQxwFguepqDfUZ3yglX962oKmLrfhfySJ1WefmI4ljQG0lI9yIC24OG9ukmXQZoCrEhANorPW3n1UP4tUrsAmQKpfAryKfM6DHXODW0L2D0ooQlxu57Jzk/ePh/Dx89biK5GTbksd4BM1R1I1U0blo7c83qE2rDqdbntggzePsHbNCgAiCXTOQmB33rbCThhRgsCnAXpjx86latuYv+sU5C0bl6HUd2DX9BEApLhQbY2d6H3kSK8b2jMlCAZNDVrYfjLdWcAMJcXI/X4dEvr+V9t3IMfPr4TX7w3O5aRX7o1ouDO963B196sJXTyE3AllLazFnVh15cuwgnTNWXsQ//7XEGdE0tlOJZCY9CfLalXpkoW8aR2PqkCz2t67V43DzIAPLN7UM/BsT/Xko/huN7mvLYoL5AFzcsOG78IdJrbaJwI+SW859TZ+LcNC3Pe42SxoCoZs9ojptd5EeqK1dMxsz1ctgDZqMwyDhRkAFg7tz1bD1/2ZrGYCFQ0QGaMSQC+A+ACAEsAXMEYW1LJzywFKofUHsmdaHnrwbJpzbj7w6dhXlcjupuDODqWxMsHh8vaR52gAOsXT+/Bc69lB6Z9emb4OYu0cixHRhPGdnwxCvLAaBxNQblkxbNYFMnnGvhtOzyMoWgSczsjOd/Ltv8ufHI7eDSW42trDpmDcK0bWf6BMaNmE8oMBVkurcybHW4F2inAagjIcPrkVw7n3yLlJwK6r+neIGXQa7t0J6a1hBxLgMVTaXz3kW1IplVTolrEZUIptTauHY1B2fBck+fZrnU4qcB0L9oFGfwuBPkq/76t35jc/7jpAF601FxuCMg4aVYbEukMkukMwoqE43qbs9VNHHzIlPgGAF9+4/FoDMomj3BIkY37yFqajxYAVHJq++ERRzYiZQIAACAASURBVIuFX/JhTmcD5nRGTDsbpE7P6TA/rz97Qqv6wy90rV3eKJGZvzcaS7TLuMHXdX56V/Vqusb0rq3N+rk4WqZEvVhK8xGTB5fmCmcPsvb5n/7dFuwbGnMMpAFgaU8zth4cdq1H7AWjM6OH+YbeqwkV9nMbPVtBl2Mni8U/th/B85wKTgtga7MWPgDsbgqV1InPCs1VlbyvKwWND15Lq5Z6r9SSSkdDqwFsU1V1h6qqCQC/AHBphT+zIDIZFR/8+bP4w6b9hoXBTkF28uaSynJ4OF6REmlOv/NrD7wCRfLh/WfOxVtXTce/rp2l+WVlH6LJYjzIua05q0m+JL17nj8IHwMuPM6+gD1QeBvUJ3ccwZovPoQ7nzLXFrYmdwT9EsbyKMjxVNoIOIZj2QC5HAqy9XiSGefzRIN9Y1CGU77cvjxltwCzjYMCKAqQ6Ty7TaRemN4WxoGjY7b2le8+vB1fue9lAMD8rmzxfLfPrMT92xCQjSCUvN92CjKdL/JDR2y2s69YPcM4/lgyjVgyjbf94Enj+yPxFH789105P0f2o2RaNT67yaGjp3E8XNB53tJubL75PFOAFOHOo98yxlCi5Rx9Mbq9b8TUKIRXoumeUCSfUSoSyCbYWauIUDIjX5YxbgmQKfjndxcqYbEgGGM4b6kmNPQPV08ViyU1Vb4lRApymQLkZAYhv2QkXNNCw9mDbB5f3J6xrsYA4qmMKWG8GArpNEr3RyQguVgsskG0EyG/ZpW74v89gUu4hFF6vq0+8MHRBBZ1N+KGCxbhar28WbnaK9s1vxkvMMagyD7Dg5wvL3s8t6SudIA8DQAffezVXzNgjL2PMbaRMbaxr68P1cbnY3jgxUN4cf8xY/C226p1Wn1PacqqMkcqUPbEbQBJZrSKG19+0/F404laGa2wIhVlsRgcze08VE3yJem9cngYs9oj6GoK5nyPGmIcK7CSBXkOraXGrJU8NAXZ/ZzyW90jumcTyA0+iuGJT51j+tpNaR/hLBa03b9ab6pCxDyo4byCTFYNCoZoInF6JrxC1QN2cXVOiYOcH3ReV7Z4vpuCbKfslkpDUDZUedrqtfscOl9U19QuSS+k+yMBbUs4XwMNwi/5kFGzlSmArPJkV/97NJ7Ku2Dnr52TlzysyJjWEsK2wyOmCiJ8pRI6FwG/ZFpU0aJnGlf7PaxI6GhQcMKMFhziynWRxYKgoGEf55Xvaa5sC97/umIlgPI2gshHPKXVzjcW+GVSkMcSaQS5wDsbINs/O1bbmlMVCyC7CM2XoOVELJnGxd96DE/s0JR6a8MWO2j3QhMq8lssnGgIyraVSmjMtCYMDowm0NUUxNVnzEXQL5VUJi7nM2mnbxx4kO1QJJ+xs+Z3yK0giolH6oWaJ+mpqnq7qqqrVFVd1dnZmf8HKkA4oHlMj7gEyE7wnW/2DJQ/C9rN8mC3cxF22YZy4shIHM++Nlh0U4VykM+DvG9wzLE5ACn+fSOFTW5O5dKaQ2ZFJaTkP6f8VvdwLFm2OshArtfXzWIxGk/ptbp9OH1BJ/73qpNx5/vW4Af/usp4T8xDLU9+IiDVUrEoyJESFWSyy2w/nBsgj3KKval6Q57PvOXSpfifd68u6bh4wopsTKA0Cds9k3S+SDl2CkZoAt+05yjO+dpfPR0D2XSiibTx2ZSgaqcgX/ytxwC433v8eXQr7Ti1OYhDx+JakOJiqQlIPpMHmZ4XftF9w4WL8Y23rsS8rgZTYiw1CiHsFGQqC1gpArIWAH39gVcw6/p78PUHXqno5wFZBZksK+VS2qjkqCz50BiUjURYp2fHej+7lbujsbZYMeiF/Uexed9RYyGS8ZA3QgmibuKPESC7jA+NQb9pzKcxm/5/LGbOYzkymjDlHgUkTUEuh2WAxJly501UC96WlVZV13PiZb6pVyodIO8DMJ37uld/ra6IKFrRfUq04Qf1j54z32g6YMeUpiCevnE9gMK3+L0g+1jeLQyeUIEKcjqj4sQvPIhoIo3LT5qe/wcqhD+PxWLf0Jhj4he9vi9PwpcV3rPMJ0tYFcKQjXJhLQnFByomD3IFPN0pF4vFcNxcOmjdvA5IPgaJG9DiHipy8C1ZZ+uBLAUxdJ+7TUZemNPRAMZy66r2Dcdx9/MHjK/58mFO3cCIK9fOykkMKwVF8hmTKgV9dsmP8bSmsFJQ6qRkUYLbr59xzt633n/0O0fj2QCZLAd21VuohrfbuMFXNGgJOfsgQ4qEWCptqmJhR8Dvs02m4s/DlWtm4tT5HZjSFET/SNxoXBPjmjMBWQWZV3OrsXjnF4X/9dCrFf88OqekzJerCQV5mwHteSG13u3Z+c7bTjAq96xfPMXxfW16fo5X/6kVskIQXpqzUA3ukCIjmqeKhZuC3GRRa3fqzwm/+3fHYzuMfw+MmpPCafxzEyi88srhYSiSD7PaaydKlQK/oE1nVNdzIhRkZ54GMJ8xNpsxpgC4HMAfKvyZBRNWNAV5IJpAY0A2Xfxrz12Ab+nbb050NgbQEvbj2vULyn5sjDHHIGt+V27f9nCeFrRWSAk4cWYr1s5tz/PuyqG4lHmLJdPoG447KsidDQH4JZa3ZJgVPqgNKhLu/vCpxlYrj9Vi8cdN+7H2i3/B37f3G6+R4in7GEZ0D7LkYxXZ9nfb5huN2xef52sCe7FYkI3j7g+fikXdWqUUCu4oACvVYhFSJLRHlJzyWh/8+bOmr/kFq1Opqkohc9Yfsg3YepB1nyRVvnC67qQWPrHjiONndlmSDen5jyZShnLT5CEx1a1CCF/8n5TFD541F2dYFhe0OIzG3av0BCwJTG6KXmdjABlV64wJ6K3duXs26PfllCicXsPdrUoRT2pWCFLm/+1Xm/BTPYmxFPia/Pwiw+3Zuej4qThrURd2fvFCnLWoy/F9pKgWW8HAWhrMS7BJuxchv88xF4Raorst2q110bfs0zqT8rXH/+PerQC0Zz2aSJvykYyeBCUm6j3w4iHcv+Ug5nRGPFlM6hFrTOJmQfQy39QrFb06qqqmAHwIwP0AXgLwK1VVX6jkZxZDOCBjVK/36eZxdOOfn9mAj66fX+Yj0wg4PES/vmZdzmtBv6+gG5JsJVedOttzF7RK4JeYo7eW/Kg9Lbn+Y0DzkU9tDnlKPuPh1beg34dl05pxic1ugdVi8T295S+vopCnrLs5iGG9XKC1OkAp3HLpUhzfq3UNy1fFwk4pOnFmK77/L1rJMC81nWkSmMNVDWkJKzh9QSdUVbte5Qj+OxoCOVu6/ZbtWz4wy6cglxstQU5v5KHfA5LNdU3oHt3jpjVjzRznhSYpXG5d8OZPaTR9TZPRaMJGQXZI0gOy5b3s4Ct+0HP/ifMW4ScWe0pIkTAYTSCRzuRYj3gU2Wyx4OvSHjet2bT7Q5YO8rKPWHY9GGM5yUtTHZ79cvL7D55i/LsSCddWSEEOcsr8Tb/bUvLv1ZpdmQPFMxd2eirhmW8OoMXqkSI8yH3DcVz7y3+aXvOkIBsWCxlHRhN46KVDUFUVQ9EErvrJRnz+jy8a581NQeYTPbubgkZt+dFEChcep3VmJRGAFgD84px2ckrxIR84Oob3/s9G7DoSxQLLcz6esD4f1jmFt1x46UJbr1R8FFBV9V5VVReoqjpXVdVbK/15xRBRJETjKYwm0lVXqLxgl+jV2xpCczh3wgr6pYI8P1Trsb3GXig3DzJld7v5tXpagq4BgR28guxUMxjQSnbFuACZSnHxtisKeLqbghiJpbQ6tGVUB65cO8vYAnWbVKxqHM/5y6aiOeQvyINs/RvOXTJFP4bylO7pagqibziGbYeHjS13a0IWPxhXopSiG3zyKC2SJJt7hRLNLl89IyfI5OGD/Tee0GtrGzp5tjmpkhZa0XjKCJD9kg8hv5SjIPMT03tPn+N4HFaV2omQXzK26FtsxhsiIJuT9KLclvcfP3wqHr/+bON7bVxjClVVtV0PS0C8sFsLHi5Y1o1dX7qoKuUnl09vwSfO0+rn9nqo410qMYuCXA5UVUUsmUFQf2b+/fxFOGdRF378rtVlWdCGFQlBvy9vB0w7brxrc07eh/cAWbvfd/SN4j0/2Ygndw7gh4/vwoMvHcIPH99pvNc9QM7ev6fO78BTO7VEwdF4CjPbI7j6jDmIJTOYdf09xqKdD5CpM2kpATLNOafMa8e155Z/x7laWOcFq42Cnx+8WPrqlfGp75eZsKIpyFGHLnr1iNN2Z0AuzINMAXKHTWm7auKXfEg4BG5RPfh0S9BaNbMN/9wzhN966MxEDMezwUXGJckgpPgQTaZzEhH4VTOpYdPbwkaZt3KrUH7DA5cnQHbZBQn6Jc9VLHwsN8u8o8yVTjobAti09yjWf/1R/HKjVvCmq8kcvPGDsa8ClhU3ZJ8v65XVr7edBzzh8Xrzyl7Q7zN+5jS9m9vFy3vwjnWzTD9D79GS9LJ/f2NQzqncQgu1Gy9cbLsbQljPsRP8OOPmVVYsSXpuFgsKtAejCaOjmHXnrltfJC2f3pLz85XkA2fOxfrFU6pyn5EyWs6FNCX6UT3g9585F3dwXUFLhTGGk2a14ZGXDxecrPbsa7kNRpwW2olUBo9v0yxs8aRWxYJfSDz2ar+tTzyoOJ9LXkHubQ3hyGgC0UQKybSKhoBsUtip+2B7mRVkmpvffcpszO7Irek/XrCOdaMW6wuvGgsFeZzToFexGHVps1lL7FZgQQfVIaRInrOhd/SN4NpfbgIAdFSgyUIhaHWQ7QdLqrnpZn+59twFmN/VYDQicEJVVdzx2E78+pm9puDCJe8NLSEF6YxqlLUhYtx57h9JgDFt4B1LphFLZsquelE5nXxVLPIHyN4sFnYBX7l3GvhAja6HtSNiNba7nTBZLPTzlkjlnn9rswsneIUr6JeMgPe6DQux60sX4VtXrMy5fmYPcvYzGoMy7t18ADf/IetaG6SOmHkWMp2N3iwL/Hhot2NF2CXp+Zh9JQ1S5a752bO48S5ta9xa5/gKPWHYLWGsEjDG0BSSy5pY9Jeth3LaFgNZBbmcPlQvyWqlsmFpN3YdiWL3kcJ27OxKEjot9n/w2A68/QdP4tFX+vQujpLRfAYAvv3wNtufc1ts8PcYjWNUeSrCNVYBgJcParuEJouF4UEu/t7wUo5uPGCd26zVdPg5Zjx7kMeHXFphwnozgGgihSkeJ45qErMJeJ3UoaDs8xQAAcAL+7Ndu2rd8tKtDjIlHbotXiQfw+tXTsNX738Zh4djRvthnkxGxV9f6cMtd78IAFiue3oBdwW5o1EbJPuH46ZED37hcmQ0jtawYnz/6Fiy/AGyHkzlU5DdFhJePeqaapN7vu2a6JQCfz4bAtkmGnM7I0Z76YDsw28/sA47+3LLwVUa/r6k4MPu/HsNkHkVLOj3QdYXPVbbxofOmocVunrKe5D5z2gK+bG9bxQ//vsufPbiJWCMYSBK3kn3Dl3WjH4n+Imc9yDf85FTTW2xA5YasdFEGmFFtvW08krdb/QdH+vO3bp5Hdj1pYs8HWO5CXlcRHrl3T/eCACmvyeV1pRzt8ogxUD2KbeEylKhTocD0QRmwZsKmkpnkEhlcMXqGXh29yBePqR183Qay6gm9FM7BwyLhZccEzcPNSW2MpbdCaO22eGAbLq/XzqgHZ9dgFxKOT4KkN06/o0HaFxoDMoYjqVyAmR+gSkU5HFORJEwGk9jNJ5GuA4725Ci1tGg4GtvXo5Nn9mA955m7y/0qhAC5lVeLRP0AECRJKQyKsYS6ZzjpzI8+aomrNa9m9f9ahMe3noYSz5zH/60WSsXdjSaxJxP3YtPc0kwO/pGDVXBNUDW1Yb+kYRpW5E/ziMjWqMV8rAfjSbLrnxKesm/VDqDVV94ALfZ1GodjqVcu44FZMmTJ2w0kbatc9xh04a9FNbObTd8uDTxxJIZU5CvyD6cMKMVb9Sb4VQT6mIHwCgxZRsge/ScmxRkWcraZixbGB8/byHW635vWV8YaYmf2c9YwHUYJP8vWX3cEuoA7Xm/4YJFuPO9a9yP16Fe8tKeZpzMJSNau4zxlRTcfidRTw0Tyh0gExd/6zHDFmBYIcroPwaqoyCTmDLikiBqhZ6dOR0RU8tzx4oQ+nS0ae+Q0SiEdiiyrdALsyjQuHj+0m5jx/RTd21GU1DG2jntJgvR1oPHIPmYaQFvKMglBMixKlyfakD13jv1udGaCzFmUpBFgDyuCSsyxpJpDMeSJTc/qCRPfWo93nhiL5rDfseANuj3YTCaxMNbD+f9fVRy52+fPKusx1kMpHidcMsDOOOrD5u+ZyjIeRIol/Zo5cj+9mo/PvqL5xBNpPH9v2oVJ6gMEN+9bDiewjvWzgIAuNWrp4z/vuG4KQiIpzKIJlL48J3P4YX9x9AeUQyVe2gsUXYFmUr+JdIq+kcS+KbFg5dMZxBPZfJbLDwk6UUTKdvFYlOovIHMiukteOi6MwBkJ8uYJbhy6vRWDWSJGS2maXKzmyCt7ZKdMHWw8/twjZ5IN7vdebLnO1XxJeaO43ZAovE0vnr/VrzzR08D8KYgXn3G3LylHb16kAOytsClxfxYIlWQXa3WO1g8Qb9W1rEcDSF4Nu87ajQgoSSwct/bhkJZwQCMFjOjLpVYrBiBuyKZqtakHOxiVCXj79uPYO/AGAKyhO++/UR8+Ox5WDZNu+/tdgndCMgSHvn4mbjtrSsMb3Eqo2LNnHZMbwubFuX9I1oNZN6LTtWkyqEgj/sAWR/HOowA2dmDLALkcQ6thvpHEiXXdq0Et711Ob55+QpPiSP04L3rx0/nfe/AaBJ+iRlbZrWEHrSxZNrUhhbgFOQ8g0pYkY2OW1T+atQlqAGA85dp5X3cOjplFeS4KREplkzjwZcO44+b9uO1gSg6GgLG/TMYTUIpY5k3wu9jjgMOTVj5LBbJtJrj8839XfYKciV2Gkh5jSczuP43z+PJnQOmCb6WHmRFytb3pUnAqiAPx5K6xSL/pMdXEgj6JVxw3FTs+tJFrp5hvtQeX9FmBZfAFk2m8Z2Ht5t+dzngJ3K3gNeqro0l065BwL+fv8j0dbHlNStBSJGQUUuvd+vGmf/5CAD761RKYE72qXIr0zwUHFlzMtyIGnkkkiFWAM4WiyMjcYT8EtIZFYl0BkG/Dwu7G3HdhoWGYOE10ZRnVkcEQb9kyqUg64W1oow1cd2LgvzywWHXz/fS8W88QGIV2Q+tCjJf9Smfn//L923FnU+9VuYjLA8iQIZZ1YnUYZm3y1b24tIV0zy9N1DAxDiodwqqtb0CcE/+iia09sleklnu/9jpePvJM4yvqTsin0D0rlNmYW5nBN952wnGxOxmsWgNK/AxLUDm1ddYMmNS9NobFGPyGBxNFHQtvOKXfbbthYFsBQM3NY4m5Hyrerea4D9650m49yOneTlcT/h8DH6JIZHO4BdPa5UsglwgWM4s/0KRJWaUpqIkI74c4bbDI1j+uT/jn3uGCj7OoEf/aU9LCB89R6uxznuVl01rxsf02uvWBgrlUqj4idxtnCAl9MmdWgOUaCK3Fi/P+8+ca/q6nsbd7DNS+eQiuxJv+drauxGrgkJJVoVCLBa0eA/5ZSPxsikoOwfIownDMgfAUI0BYPUs7fViajETTUHZeF7JRtEaUbDrSxdhyVRtJ5Lv4AnkD5Dv3XwA533jUdy35YDt94FssFhJhb8a0DzXGPAjYDMn8QqyW813QOsrcMNvN2Pz3qPlP9ASEQEyYNqSrkcFuRD4By+fEjEQTZiSEGqJNfmLP/bRhPcGLmFFxtKe7GA6GE0ilc4Yk92P3nUSPvO6JXjoujNx0fFTDZXUTVCVfAxtkQD6R+Km1fBPn9ht1NIEgFntEWNlncqoFRkE/ZLPNhscyA5ErgqyPsjnDZD1JCs7zlrUhSW6naVcKJI5yateFGS/5EM6oyKTUY0W2/ykvqNvxLh3Ct0uL6T+LXmKrQkvdK9bg6pyK8j5Aq7zlnajKSjjtgc1289wLFVQ0NsQcPdMV5OQx0VkObBbJDk9317grQyVgsYXp8Dn8LEYbn90u22ziLAi4fOXLsXTN65HY9CPZFqFqqp4ZveAUXIU0BKiOxoChgCxjrMCvXmVlotw2cpp+N+rTsaNFy4u+G9gjBnlBq05G7Sjau3cSn+30/V5RU88fJFLfueZdf09+MI9LwEY/xYLmhtkiaEx6M9pWMSPU/nuZ7rGnTWupGXH+I4GywT/gNSTklEM/NZaMq1Cke1Vn+deG8QDLx4ybd/WEmsTkFgyYwzy0Xhh5fesyRsD0YShIDcFzf5tyibO561tCGiJnFb/7o//vsv49+rZbSbfcSW8s34fM3UA5CGVxi3hic6pXWUUQAsKFMmHaKKwAKdUAn7JpPLz567WATKgJdHReU9YyvsRXo9T8jGkC1xAGQGyJRCm5yI3QC7POaNjzDd59bSE8K9rZ+F7f92OY7Ekth0ewRtO8Lbr9cC1p5sSt2oNnbtCSr1lMiqOxZKmREYn9nANjewy/MlSxvPM7gFs7xvFm0/sdVXyq1HFwi/5EPT7HD3IH/zfZ/H0rkGcvWgK5nU1ADBbLPySD52NAaNCzAv7j+GN3/sHmkN+bPrsBgAk3vjx86tOxp9fPIQZbdlW4y1hBTu/eKFxHtbN64Ai+wq+52mB2mTx1tO9blWQe1tD8DFgl0N5u+xY4S5MSfqO2XiG5oaMqqIpKBtB8G+f3Yv9Q2OY0qSdO0X25dRqtxLyS3jTqt66GgMIESDD3GFnvCvI/Mo0lko7Ttp/e1Urws5nwtcSa9mpkXjKCOZGE4U1cJnT2WD6+shIwjFrvCnox02vW4L1i7tcf2dIT+R023ZdPLUJ+7kkwIoEyLLPsb0wbXM1uAS2bhaLdEbFopvuwzvXzdIqulTxWVAkH/qHs8Em75GupcWCJrJYImP42XkF+Qinenk9zlIC5KjVSqE/I9Zgzqt9wyte1J2T57Th2w9vw73PH8BIPIVF3d52GayttWuNoSAX0JH0tgdfwbf+sg2bPrPBVC/abhfvtK9kk5DtktSs1xgAbrxrC7YeHIYi+fD6ldrCY2A0AcnHTBVLqlHFAtAUfycP8mE9CY+P46OcxYKQ9QoxNGbyOzSxZAZNQT9OntNuqpZCWBcJ1uY6XshaLOzrjltL8AVkCT0tIezqty83SUpoysY2wr8W8kt1YWssBZobUmnVKPUGAP/2K62vwi2XLgUATGkK5FWQy911tpyM72iwTPAKsluJrPEAP+nGkxnAYVFG4/aX33h8FY4qP9YBYySeMiblaIEtwDsaFLxz3SxMaQriy/dtxZGRhBEQ2tUdfc+ps/P+zpDfZ1uCDtCCl7s/fCokHzPZG8pd4xTQBm9rQgRBypPbdjUdk93fQQrpz57YDUX2VbWiiyL7TBVG+OCklpMJ1Sk+NJxtratN4Gksuuk+04LL77BbY8XvY0jA7LPOBwVdVqXYSUEuVyc42lk5a2Fn3vfSLhAl3Cya6h74PvzxM4tqWVxpgg6LDjfufl7znR44NmYKkN0S/dojCi6zUdntFGTywVP9YECr+NMYkLH5c+cZr8UMIaDSAbLk6EGmHRZ+IUn3J78TqHVPVY1qSoSXZONyQEm1VgWZVO9pNsnr01vD+MOm/fjIOfON9xE+RnXqcxc9MQf72HiFxJ90RkVTyG8sbgjaGZnSGHTc8QS0BaTXLqS1oD6PqsrwQXGtWy6XCp8l7+ahS6TTmvrg0h2r2jx707n4rytWAjCXEBotsAU4Yww3X7IUG5ZqySBHRrPl2YpVdakUoN2W6Iy2MKbrW4D8BFCJTHLZYrHgq2+M6K2z3awRdEx2Sjg1mZB8DNFEuqqVBQKyD3sHs1uX9dJ9iapGbLjtUQBam+REKmN09eKPc2DUW9IQPaPFKciWAFlX5OxUx3KwtKcZ937kNHzwrHl530uT3Ka9RzGnI4JlXC6AHbM7Ilhjow7WGlJfCwmQaVw5bKnA43YfX3XaHNtSkGPJ3Gt5WF9IWBcUOd09jSSwyk7tDUHZ0YNsbawDZOsg80KHIjGkMhkMRs0BlLETVmGxiqoMWUWxt62egZ++ZzUu0Csc8VBpxev+b1PO7gDNt3aJh/xcHHJphz1eoDEslVHR0xzCvsGo6XpTwNzVFHDc8aSfV9Xa7hK6UZ9HVWV4i0VbmRshVBv+QYy7bBHGk5ma1pe1oy2iGAuU4VgK9205iK/9+WW9K1fhq25qanHgaAx/fuEQgOJX70G/hGgibdtkgy/RFZB9oDVKJRRkxWKxWPelvxj/HjEU5PxVLOz+jkE9wKMBvpoeZEX2mSbKcrb6LQW/RYntaAggkc6Yni0KDHf1e2u9S0FRIfciZdpbA2TDYlHBhLIlPU2eVHx+krts5bS6VYXyQYnL/R4XPEA2QD5oCWDdmvI4jb9WBXk0njKeeQqQncSPatRBBrQxJp+CzC8OyGLB27aoCQ+NO2RR8FKNpxzQc8hgvrd9PobT5nfa3vMfWz8f71w3C5v2DOV4kcmCZVeFxBQgTwAFmQLkdEbF7M4I+kcS2LI/W4XiwNEYFMmH1rCSoy7z0Fzjr9Oxoj6PqsrwAUW5W+lWG76IuZt6Ua/bGnQtRuMpXPOzZ/Ctv2wrqIoFT1NIhuxj+NKftuLBl7QAuZDKATxhReuuZXdO+aRAxpihdhf7WW5YV9r8hDyWyJ2ErARd/JWkgJIoXVUPsuVeLMT/WUmsCl97REEyrZqCmBNmaPWIZY+JN1kFufAqFiumm1VZWjh+5vcveP5dlaJeEitLhZKzDh7N39qYoPvk0FFLgGxJhn0z1w2SP0d8DoR1N4B/xqlG/MGj9taUWDINv8TK3qTIila5wD7wMRr+cM9w1MYbLUsMyZRqjDuamqgaAXKlFeRLVvQAQEF9AMKKjDN0u5F1x4jGXztLAT9vTASLhcwFyHM6tPnvFh94XQAAIABJREFU8W39xvcPDMUQ9PvQFPLj2FjSsaIWLaaEglzH8LaEeuroVAz8tpCbgpxI1acxvsGmhNC+wbGiFGTGWE4Zu2JV85BfQjSRslVuFnWbvZa0jVjuRCkArlnyY8l03gxpN4vFkGWrs6oKsn4vvl6ftM7V2yzXGmvQO6UpiDRX8g3QPItfe/NyfOdtJ3j6nRS8+ArwVocUCfd85FR88/KV5tfraLLlA756250qhMagHxFFwn/cuxXP7B7I/wPIqocHuGB2z0AU//nnl03v6+CSHflzdPuVq/D0jeu132VRkCkYXjy1yVCQ9zsE72PJdEXGHSstNr5TImnpPAloQX/Q7zPNtX69CQ/vQU6mVUOZdtsJKwdXrpmJ52/eYNjjvEKLVWsgTPeA3Xnh541i5rJ6Y4q+iJzbFTEqYfF1jPcfHUNIkdAU9COVUR13uBJCQR5fjPfs0sagH7983xoAeRRkj61xqw0fINOlyKjFDyrWBiTFLgpCioSxRNaD/PW3LDe+19tqHmDJWlEJBbndpW71WCKDoOxzvYeDLkl6A5ZkmWoqyFS1YtHUJmz6zAZcc/pcfHzDAlyyvKdqx2CH9X6hxDPeL90eCeCNJ/Z6nmip/Jk1OSgfS3uac3ZSypWMVw4Uk4I8voMACnZuvGuLp/eTTYCvYnPHYzvx+3/uB6Apxxcv7zEFfXwjIR9XjcKqIB/QA+Tlvc0YjqUwlki7KsjBKgRgzSF/zoKaoGfZqiBbxxNF8iGVyZiU2GQ6k7VYVFhBZowZ1qVCoJ/JSUxzCZB5sarSgX81OGFGK37xvjX42PoFmNEWgY9prdSJA0MxhPySkeTrVOqNFORAHYp1QAWrWDDGbgbwXgB9+kufUlX13kp9niALDbyuHuRU/XmQgey22mg8ha7GgLGlWGywZk26LHYBFFIkjCXT6BuOQ/YxXHT8VCzpacJ3Ht6OVbNaTe+lQKES57fNxQIUS7l3LwPsu4Q9tXMAP3tiN7ospbyqOZBTQNIWVozE0Q+dPb9qn++EtXvjrHZNLeFr2Raa2Hvt+gV47+lzipqc7Xj7yTPw8ydr36qVX0zU49hSDNbdISdIBd3VP2qID7wyevHyHpy+oBN3PLbTeM26+FJkH/wSM54FgqweC/VjOXQshr5hczIgoNdiHktVZVehJezHWDKNeCrtmGvBjzFjNnkkfsmHZEpFNJENKPkAuZ7aj/MYCnKMEnXTuOTbj2G37km29yBnz0W9/l2FwifYTm8LG38/AL09uMRV2XEPkOtRrAMqryDfpqrqCv2/ug6O/ZK5nuR4xm0b/fBwDGOJNOKpTF2qPCG/BB/TFGQqNg4Uv93vprgWQtgvIZlWsXH3IBZPbUJAlrCouwnfumJlzgShFJGE5RW7v8dQbBLpvJ+ZvTeyGddv+e9/4A+b9ptKSAHV3QqkqiWtddLZkbDaVej87xnMKoXWJjf58PmKU66cuPWy48r2u0qBX0xUYvekmlyxejoAb/Wfo4mU4TXedSSKBZ/+EwCzkkjPJe87tztHIb+Uk6B64GgMrWE/uvXx8Mz/fMQoK8dYttbyp+7ajHs2H6h4BQsgGyRa1VJT9zzu7xhNpHIDZFmzWPDvS6QzVbNYFIvxt+sK+msDUbxyaMS4B6y7c5mMiu89st34eqIEyDzkQway80ZIkYy6107t08mOU2nPfLHU51HVgOc/ex6e/NQ5tT6MskABm52CvPrWh3DSrQ/WbZIeY1ot4ZF4yuSlK1ZBLlf7SlJmn9o5gBXTW1zfW1EF2SaApNX5WNJLgGxO0nvopcPG97YdHjG9t5oDOf0NbZH6WqTmJOnpavFrnIJstfEI6jfpxitffMPxaAzKtjVtCSqxSKXdVs4wjwt88EhjAj+m2W0rRwJyToe6g0dj6G4OmQQc2s5W1Wwi4C+e3gPA3GSnUjTruRBWH64pSdxisQjZWCwSqYw+buld6NKqUbqukNKe1USRfQj5JeP6WvPPrAHy37cfwWNcAlu9Bv6lMLtDqwkdkH04Y4GWxBiUswqyowd5kivIH2KMPc8Y+yFjrNXuDYyx9zHGNjLGNvb19dm9pSqEFGlCZJcC7goyoKmzz702WLe+HyohxBfZL1ZBntVRnlbavHXB2sraSjZALv/9xAfIt162DEB2dR5LpvNur1LQTvfGn7YcML53wOJrrKaCTNuqrR5a9VaT3CoWWjDMWyzsFi3V5ifvXo3v/4u3JMFqEJgAY2lA9tnWtAW0+3XOp+7FHY/tNBLnrHYMPkCmcm/8OGKnIIcVyaS2DUUTeGjrYUxtDjrWrLeqc071icsJBetWHzIfHFotFtbGQ4rsQzyVQTSRNnZUkilNQY4oUl356600c0mKoxb7QCyVMSnp1j9jIiTpWaGmKhlVxXlLtUIBz7w2mNPIKJ4yN9sykvTqtPV2SRESY+xBxtgWm/8uBfA9AHMBrABwAMDX7H6Hqqq3q6q6SlXVVZ2d+bs1CfJDKsUNv93smGk8HEvV7aotEpAxmkiZJqdiFeQ5HQ353+QBPvDMp6wGKqgg08R0fG+zobCQ4jTmIUBmjCEg+4wJe+/gGHqa7dstVlPBocm0HoJNHr6KxS2XLkVzyA/Jx4x2ukB9NBc6Y0Enzl82FQDy7nBUg/GuIAPZOr12UFLeLXe/iEP6vfAva2aa3nNsLImLl/fg389fhJNmtQEwWywUKfdZpd0z4vt/3QEAWDK1ydECSOocBWLDLo0ZyoXVYnHnU69h1vX3mD6bD4RGbTzIAdmHWDKNRCpj/L5kOoNEOv9OWK1pCsnG3x61VB1JZ1TTzoM10J+ICjLt1CbTKi44TguQF09tytZp1xcRV//0GSy66T7j3qh3BbmkK6Wq6nov72OM/T8Ad5fyWQLv8MrE/qExY/Cx9oiv10SahoDW2z3BbdcVG6zlU3u9wg/uXgPkSmx0LpvWjHefMhvvO30Ont87BCC7Oh9LZtDkIfM76JeMAerg0RiW9DRjv64eT2sJGS2fq2mxIEWmnN7cckDb1SfObMWVa2cBAFrDfvSPJBCQfbjnI6e5lt6rNls+d15dqDHj3YMMUIBs/xTzVgLyl/a2hvHRc+bjmw+9ioxeCrC3NYT3nznXeK/JYmFzjoKyZAosN+0ZwpyOCK7bsCBHGQ7oCiwFHwFZSyR28nuWkxZ9TqHmPl+4+0UAQP9IduEYS6bx9K4BXH77E5AYw3xLa+aA7DP+JqrokkhnkEhl6taTSrSEFAzpATJ/XWgHIJZKG0FfwlILu96D/2LoMpUvlPD3689GyC8Z54juyUde1lwCf37xEC5Z3mMoyPUai1TsqBhjU7kvLwPgrV6OoGT4rX3ejxa1+IDqddXWoPvwTApykRYL3oPcUkJbbd4/l2+LjM6rWxWRYvFLPnzm4iXobg4aAayxfeVBQQY0FSuWzCCTUXHoWAzzpzQY9UnncpNYNe+P333wFHzjrSvqblvVrpA9dd5sDSuY11WeHYpy0RCQK2LtKZSJoSAzYwLf1T+Ka376jOGV55/tlw4c00paBWXjmTkWSyKZVnNUX956YhcUBPw+4zNVVcWW/Uexdm47GGM5yiM1uKDnv5qLkq4mbVwlewmp2PyO5VgijXueP4B0RkUinckZN/nxJasga+qrX66vccDK1JYg9g+N4Qd/24G/bD1kvN7Tol0Tvga0tVlMPSxgy421AlJPSwitESXHYkE2myG9wksyRRaL+hwvKikRfYUxtgKakLYLwNUV/CwBB1+MnTfHxxLjJ0DuG46b1JtifVuMMWy95Xz4GMvxghUCr8zmU1ZJ7a50sgxtX41ySXr5yrwBuoKcSqN/NI5URsXU5iBkH0M6o2JuZwSPvlL9XIDZHRHMLpNfvJzQljjvZScFqNhF22SgGpUUKo1WhkybwL/2wCu474WDuODFbly6YlpOfkdnY8CwLwEwLDjWHRGTxcJm/KXENUCzPw3HUljao3VPtJaonNEWxva+UaMKRCGNZ0olrMhoDfuxb2gMh4/FjO6bfGm7WCqD6W3Z3RXr2MQvomh81SwW9a8gz2gL44+b9uML97xker2nJYRth0dM94c1aU/y1fffVgxOyfBZi4V2Dug+IdWdFoP1GotU7KhUVb1SVdXjVFU9XlXVS1RVPZD/pwTl4v+uWQvA/HDSKo6UiHpVeciHl3Dw/xVK0C9BkX05NW0LoZGb6PIF6zdcuBhXrpmJ87muhpWAAnHywI0lvHXRom3cQ0e1Sby7KWiU1LM2PZnsnDizDf91xUp89uIlxmt0/es1y74eqAcVu1R4D3KnXqmEGnTELUEPLZopQO6nADlkvkdCJgU59xwpcjZA3tk/CsDZJrZgipYUuGnvEI7FkhjW6/Le9tbltu8vN9NaQ9g/NIZTv/Kw8RqftDeWSJu+tj4vtgpyKoNknXZ55ZneFoad/jGNFOSUs4Is19kuWTlw8lWH/VkF+YkdRwzBjvJmkun6VpDr86gEJZPtmJZ9OClApq05qU4f1MagFiAn0xkcN60Zq2a21lxd5Ce6fAmDbREFt7x+WcWDhLBFQY55VpA1i8UBvQFBd3MQN71OCwDrIcGr3rhkeY/JN0hBTjVbcY836lURKgS/xJDSoyAq73dQtxRQ0EPBDgXG9HeTN9e628TfR7YKsu4rBrIB8mwuQH7upnONfy/paQIA/Me9W3HlHU8hmVbx7+cvwmUrewv/Y4tgWksI+wbHTB7bQS4gjiXTJsuFdb4J2ATIiXQGyTotQcozw6Fr5rQWTWgYM1ksrApyfc67pcAYwynz2nH9BYtMr8uSD4rkw2gihctvf8J4ndqpx20sbPWEkEAmKCFFu+F4i8VYUgukelvD2HpwuCrlgIohEpAwEk8hIPtw8uw2fPp1S/L/UIXht0qt5YpqheFBjlOAnPGUABLQk/TIP9jdHMTxvS3Y8rnzJmSGdbkJCQU5L/WadFMIfs7uQBM5tZKmnbnmkB9HRhNc5RrdYzmmWQ3CluexJexHRJHQGPTnfE/7+exnPrnzCCKKZKjXgLmRDlXGALRkPiBXsa4k01rCePSVftNrVN2jJezHM7sHTfPPoKWVPd+oqsnqQa7TgImgjppWqNwZv3Mb10WqP37oVNz24Cs4Z3FX5Q+wBvz8qjW2r4cUyUj8JgyLRWqSJukJakvAUJBzLRa0+q1GOaBiaAj4kc6oiCbS8NfJg8MHnuE6CSKzCnLaSITx4v0M6QHygaMxyD6GDr22rwiOvREyPMjifDlR7wqgFxSuDjJViiBvMW2hU2BHyXf0d5O1wLrbFFZkPHPTufjHDWfbJqQqene5v2/vx72bD2JaayjHe0xMtZRnZAyGX7kanL2oK6cBBFUtaAsrOd87MmINkHkPMl/mLVP3iWxTmuw9t1ObtQDZlPuj3yvzpzTgh+88qeiSpeOVsCLhNa4NNTB+LBaT60pNIoyOaTYBMlksyLNWbzRwW9f1+OB4qRRRDQKyD5KP4av3v2xsUXk5tu6mIF7YfwwHj8UwpSmYM1F/520nTMhi9uUi60EW58iJet0yLQS+zBsFPCQqkCpIyWWGxUL/u8laYGd5ctvlUSQJiVQG+4e03Z2bbHbPrjt3AR7b1p8TOK+d015Vi9Sp8zswpyOCHboVBMhWJ2iNKID+emdjAL2tIXx0/XzTz5sC5FA2SS+ZztT9Yt1u0bL55g3YM0A7DFnbCd0rE+GZKIaQImH3kVHTa6OJ8VEHuT6PSlAyNDDzATL5orp15aF+LRbZwbEet17qxUPGGDOCtVvv1bKpmxyaCfDM7oygfySOVw+N2CohFx0/FWctmpjbgOWAnq3JpgQVQikJsfWCX2KGwkXiwkgs6/cHOAWZLBb6Dg5ZDQpdaAb8Wm3gL9+3FQCwqLsp5z0fPmc+fnm1loTNx2mNHmqgl5sO3f7xb+cuAAAM6H833xFzJJbCXR84xUgqJAKmAFn3IKe0OsjjIZg8vldT669cMxPvWDsTjUE/18XWnKSnyL66K2FZLcKKhGPcbrUi+QwFOTGJy7wJakjQ0lIYyKoglPB28uz26h+YB3j1oN632mpNyC+ZrDLdTfZd8Xjm6Nd/876juPC4ylbamIiIJL3JgV/K1iSOGQqypgzHUqQgU4CsWyz0iZ6sBoUGyPTzfbqVI9/P//ljp+Pc2x7V31v96Zw6X7aGza2n2yLZhfq5S6bY/qy9xUJFchyUeQOAn111MvYNjmHx1Owixk6YiqfSdSn0VIuw35qoygXI6Qx8rH7n+cl71SY4suSDX2ImLxSpID3NIfztk2fZbt/VA+YAWdyiblgrDXU5eON45nBZ8TPa6q/2cL1D9WbHg8olKB5F8iFFFgt97CS/v2Gx0K0BpByTF/lo1Nli4fqZlkAqn2Vq/pRGrJnTVtRnlQP67F49r2WQt1hAq4rz1Tcfb/uzAe75oUBbs1iodZN74kZT0G8KjgG+ehTnQU5mJkTZw2Lh78urz5iDMxd2GbvXsWQaAVly9NnXGqEgT2CsbUsp0SSo+NAcrt96tw3B+gyQz1nUhRcPHKv1YZjIWIpxTvGgIM/kMrDL1Yp7MpFRtXNep2N6TfnV1WuxZd/RWh9GWZBtLBaApu5+55FtkHzMCHysHuTBaAKSjxW8iLIqjV625Y3GNTXIjXjHulk4rrcFJ85shSL7jPNEFovupqBjcMgvBhr4RiHjxGJhBwWDUaEgG9AuyJSmAG64YDE+/bvNhoIcT2Xqui29CJAnMFo5r6zFYjiWgiL76n41y3uQ62mgvOOdJ9X6EHJIcQGy7GNo47x/TvCLjnprlTweoDNer6pHLVk9uw2rZ7flf+M4gG8UwgsNX7lva055qqC1isVYEmF/4cpYMYEU/UwtEmsZYzhxZqvx+YmUVoGCdgHd8jX4eYjG+Wwd5PH5bAVkH3ws27wJ0ILAidBZsliMspj6PREJyNk6yMmMp+ZWtWLyXrVJQEjxmQb2oWgSLR6SuGpNIx8gT+KVtxf4dtadjQHPiSDLpmlbg3M6RYBcKKQgV7O1r6D68HWQeQWZr+erWJRjClaPRpNFWR6KGe8YtPuw1mUHyQ4SlCUjWHcbj/i/1S/5wJjWqXC8eJDtYIwZnWCJ+CS3WNC9QPN6yC8hkc4gnVERS6WFgiyoDVaLxdBYAi3h+g+QI8KD7Bk+QKZuX1748btW4/m9Q0YHK0EB6Kd8kialTxq0OsjZMm9djQEcHo7bLoysHfUS6UxRim4xATIt2GpdmpFU44DfZ9iP3J4R/m+VfAyXLu/BnU+9Ni4ahbjREJANCwGgWyzqOAisNJQ8SvM67bbEU2l98VC/56Z+j0xQMkG/ZErSOzqWREvIexBVK/iBvl6zW+uFVCZroSkk2O1oCODsRfbZ5QJ3qMXvgu7GPO8UjGf4Mm9jibSRANs/Ejfeo1qyZHmlMFREVQlFKjzIpTVyreuzU339gCyBhiXJZZfFGhidt7TbWJCM5wA5EpAxquf7DIwm8LdX++s6CKw0RmMlhXYY9C6/iTRiqbSn7q+1QijIE5iQXzL1hB+KJtHbWr/JeQTv2xsP2cy1hPcg8+2wBZXj0hXTsLSnCfO6RIA8kfFLPqQyKlRV1RXkIIBjpra5KswJm7wqWoyiW0wgpRoKcm2ncy35tw+zOsJcImt+iwX5czsbsxV4lHEsjPAe23s3HwAArJo5MXz5xWDYbfR7wWhilsoIBVlQO8IBGwV5HFgseHpbQrU+hLpmKle1QgTI1UMExxMfUjHjqQyiiTQWdjdC8jH06y2Tf/P+dTk/U2qAXIzFgpbItc7X6GnRxqLuphBOm98J2cfwjnUzHd9Px7tubgcA6AsQjfGsIDcEJMNicXg4DsaAj1m6CE4mrAEyXytaq/BRvwry+L0LBXmJKGYv1HhJ0gOAnuYgprWEMH+KCETc+OXVa426xrWogyoQTFQo8Y66w3U0BDBPT2qd2xnBiTNbDYsFKaV8abdiLA/FdOnMJo0W/KNlhRTsaa0hdDcHse0/LsTxvc6tr5uCfvzm/evw7betBAB0NGbtf+N55zCiZJP0+kfiaAsrE6KzZLGQ1cinn4IAVys6lqzvCh/CYjGBCSuSkX0dT6UxlkyPm6Ssh64703igBM5MbwvjTSf24iv3vVzXW1UCwXhD1rf5j+iKcVNQxtKeJrx8aBiNLrs1IUVCYixT1IKVPM+FkDGSRmsbIb/pxF70Dcdx9RlzPP8MlYgDzBaReirvWSi8B7l/OG60456sUB4RMywW2XbcE1pBZoy9mTH2AmMswxhbZfneDYyxbYyxlxlj55V2mIJiiHDZtEf11qfN48RiEVKkun5w6ol672cvEIxHKAh+9NU+42tK0GzUG1tka2Jnf462lIuxWFDnPgC4dEWPp5+hNs+1rpQQ9Eu49twFJXmhqRTYuFaQA5LhQe4biZuU8cmIalnAkQd568Hhum8UUuqRbQHwBgCP8i8yxpYAuBzAUgDnA/guY0xEO1WGFGRVVY0HtjEoNg0mGqQ6iQBZICgfrzt+Kqa1hPC9R7YD0NpKL9FbC1NJM/p/hAsKSTkO+Qsfa6fplSA+ef5C3PaWFZ5+5vOXLsOnL1qMtXPaC/68eqNTrxQy3pP0eItF5yRXkKkUKVmAyHp0411bsHdwrK6FsJKiJVVVXwJsM1UvBfALVVXjAHYyxrYBWA3gH6V8nqAwIgEZqYyKA0djhpJc60xnQfkhBbnWSToCwUQi6Jcwsz2Mv28/AkDzzFIpMwqMrzptNnyM4W0nzzB+rhQFefHUJvz1E2diRlvYcxe+5pAfV53m3dZQzyzqbsSOvtGc8nnjiQZFRiKldQTsH05MeotFa0Tb4ZiuV9CylnWrZ2tgpY5sGoA93Nd79ddyYIy9jzG2kTG2sa+vr0KHMzmhAXrdl/5iBMgNNe62JCg/S3uaAWTr8woEgvLANy1qDMpoCSvYsGQKTtLbaQdkCe8/c65p90bSkyeKTZqd2R6ZtG3MF07RxrCd/aM1PpLioV3aQ8diGEum0VZAA6eJyFkLu/Dtt63ER87RKnlYk/LGdR1kxtiDALptvnWjqqq/L/UAVFW9HcDtALBq1apxvG6sP/htvxFDQa7fm1FQHJeu6MHxvc2ibbRAUGZ4QYHKKN7+r6uc3g4AoNBWjLWF89aTpuN/n9qNN5zQW+tDKZrZ+ji8cdcgAKA1PLkDZMYYXnd81k8/nhTkvAGyqqrri/i9+wBM577u1V8TVJFwIHsjDkW1JD2hIE88GGMiOBYIKkCEG0MbCszfEAFy4XQ3B/Hkp4oJOeqHhXpp0id2aNac1nGSGF8tcgLkCZyk58QfAFzOGAswxmYDmA/gqQp9lsABXkGmWp5hESALBAKBJ8hiEfJLBSfBFtNqWjD+mdIUQHPIj3/oAXLLJFeQrVgtFvsGxxzeWXtKLfN2GWNsL4C1AO5hjN0PAKqqvgDgVwBeBHAfgA+qqpp2/k2CSsB74PpH4wC0BAKBQCAQ5IdEhmKq/4Tr2FspqByMMczqiGD3kSgAYbGwYq1xvX7xlBodSX5KrWJxF4C7HL53K4BbS/n9gtLIcKnAAyOkIItBWyAQCLwQsZRzKwRhsZi8dHKJecJiYYZPQN35xQvrOiG1fs0fgpKZ0pTtbT8wmoAi+0StXIFAIPBIgy4oFFORIiAU5EkLX9pNWCzsOXVeR10Hx4AIkCc0czsbcMulSwEAR0YTiAhFQyAQCDwTsWkE4pU6n/sFFYQC5JBfEvXpbXjhc+fhR+86qdaHkRdhSJ3gzGyPANAU5IhI0BMIBALPUJevQhRk8ivLPhEhT1Y6dItFsbWwJzrjJRYZH0cpKBoqqXJkJI5evZONQCAQCPIzltRyyyMF5G587S3L8cun9uC4ac2VOixBndOuK8jT28ScO54RAfIEh4pwjybSRWViCwQCwWRlyVSts9ulK2wbwdrS1RjEh/WuYYLJiV/Sdg9W9IpF0nhGREwTHL4od1tEJAsIBAKBV+Z1NWDbrRdAFsnNggJYv3gKbrhgEa5cO7PWhyIoAREgT3D4otztXGatQCAQCPIjgmNBociSD1efMbfWhyEoEfHkT3AoyQQA2oWCLBAIBAKBQJAXESBPcHgFWVgsBAKBQCAQCPIjAuQJDu9Bbm8QAbJAIBAIBAJBPkSAPMHh+563R4QHWSAQCAQCgSAfIkCe4Pi4YvVTmkSALBAIBAKBQJAPESBPEkJ+CfO6Gmp9GAKBQCAQCAR1jyjzNgl49BNnoaNRAWOi9alAIBAIBAJBPkSAPAmY0S7aXQoEAoFAIBB4RVgsBAKBQCAQCAQCjpICZMbYmxljLzDGMoyxVdzrsxhjY4yxf+r/fb/0QxUIBAKBQCAQCCpPqRaLLQDeAOC/bb63XVXVFSX+foFAIBAIBAKBoKqUFCCrqvoSAJH8JRAIBAKBQCCYMFTSgzybMfYcY+yvjLHTnN7EGHsfY2wjY2xjX19fBQ9HIBAIBAKBQCDIT14FmTH2IIBum2/dqKrq7x1+7ACAGaqqHmGMnQjgd4yxpaqqHrO+UVXV2wHcrn9WH2Nst/fDLysdAPpr9NmC6iGu88RHXOPJgbjOkwNxnScHtbrOM52+kTdAVlV1faGfpqpqHEBc//czjLHtABYA2Jjn5zoL/axywRjbqKrqqvzvFIxnxHWe+IhrPDkQ13lyIK7z5KAer3NFLBaMsU7GmKT/ew6A+QB2VOKzBAKBQCAQCASCclJqmbfLGGN7AawFcA9j7H79W6cDeJ4x9k8AvwZwjaqqA6UdqkAgEAgEAoFAUHlKrWJxF4C7bF7/DYDflPK7a8DttT4AQVUQ13niI67x5EBc58mBuM6Tg7q7zkxV1Vofg0AgEAgEAoFAUDeIVtMCgUAgEAgEAgGHCJAFAoFAIBAIBAKOSR8gM8bOZ4y9zBjbxhi7vtbHIygexth0xtjDjLEXGWMvMMY+qr/exhh7gDH2qv7/Vv1zPWJgAAAEl0lEQVR1xhj7L/3aP88YO6G2f4GgEBhjkt6M6G7969mMsSf16/lLxpiivx7Qv96mf39WLY9b4B3GWAtj7NeMsa2MsZcYY2vF8zyxYIxdq4/XWxhjdzLGguJZnhgwxn7IGDvMGNvCvVbw88sYe4f+/lcZY++o1vFP6gBZL0X3HQAXAFgC4ArG2JLaHpWgBFIArlNVdQmANQA+qF/P6wE8pKrqfAAP6V8D2nWfr//3PgDfq/4hC0rgowBe4r7+MoDbVFWdB2AQwHv0198DYFB//Tb9fYLxwTcB3Keq6iIAy6Fdb/E8TxAYY9MAfATAKlVVlwGQAFwO8SxPFH4M4HzLawU9v4yxNgCfBXAygNUAPktBdaWZ1AEytJO9TVXVHaqqJgD8AsClNT4mQZGoqnpAVdVn9X8PQ5tMp0G7pj/R3/YTAK/X/30pgP9RNZ4A0MIYm1rlwxYUAWOsF8BFAH6gf80AnA2trCSQe53p+v8awDn6+wV1DGOsGVrJ0DsAQFXVhKqqQxDP80RDBhBijMkAwtA68YpneQKgquqjAKwlfgt9fs8D8ICqqgOqqg4CeAC5QXdFmOwB8jQAe7iv9+qvCcY5+tbbSgBPApiiquoB/VsHAUzR/y2u//jlGwA+CSCjf90OYEhV1ZT+NX8tjeusf/+o/n5BfTMbQB+AH+lWmh8wxiIQz/OEQVXVfQD+E8Br0ALjowCegXiWJzKFPr81e64ne4AsmIAwxhqg1eH+mKqqx/jvqVpdQ1HbcBzDGHsdgMOqqj5T62MRVBQZwAkAvqeq6koAo8huxwIQz/N4R98qvxTaYqgHQARVUgcFtafen9/JHiDvAzCd+7pXf00wTmGM+aEFxz9XVfW3+suHaKtV//9h/XVx/ccnpwC4hDG2C5ot6mxoXtUWfZsWMF9L4zrr328GcKSaBywoir0A9qqq+qT+9a+hBczieZ44rAewU1XVPlVVkwB+C+35Fs/yxKXQ57dmz/VkD5CfBjBfz5hVoCUH/KHGxyQoEt2LdgeAl1RV/Tr3rT8AoMzXdwD4Pff6v+rZs2sAHOW2fgR1iqqqN6iq2quq6ixoz+xfVFV9O4CHAbxJf5v1OtP1f5P+/rpVLQQaqqoeBLCHMbZQf+kcAC9CPM8TidcArGGMhfXxm66xeJYnLoU+v/cD2MAYa9V3HDbor1WcSd9JjzF2ITQ/owTgh6qq3lrjQxIUCWPsVAB/A7AZWW/qp6D5kH8FYAaA3QDeoqrqgD4gfxvall4UwLtUVd1Y9QMXFA1j7EwAH1dV9XWMsTnQFOU2AM8B+BdVVeOMsSCAn0LzpA8AuFxV1R21OmaBdxhjK6AlYioAdgB4FzRhRzzPEwTG2OcAvBVaFaLnAFwFzWMqnuVxDmPsTgBnAugAcAhaNYrfocDnlzH2bmhzOQDcqqrqj6py/JM9QBYIBAKBQCAQCHgmu8VCIBAIBAKBQCAwIQJkgUAgEAgEAoGAQwTIAoFAIBAIBAIBhwiQBQKBQCAQCAQCDhEgCwQCgUAgEAgEHCJAFggE/7/dOhYAAAAAGORvvXcQRREAMIIMAAAT4Tf7lvtxNZEAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.rcParams['figure.figsize'] = [12, 5]\n",
        "plot_acf(w_t, lags=30, fft=False, title=\"ACF for white noise\")\n",
        "plot_acf(ma_3, lags=30, fft=False, title=\"ACF for MA(3)\")\n",
        "plot_acf(ar_1, lags=30, fft=False, title=\"ACF for AR(1)\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 974
        },
        "id": "qir4uPr5o2yu",
        "outputId": "a85edf38-0516-465e-cd46-f2bd8e15e587"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Частная автокорреляция (partial ACF)"
      ],
      "metadata": {
        "id": "mrTQha0K79WT"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Частная автокорреляция для стационарного процесса $x_t$ с $h={1,2,3...}$:\n",
        "\n",
        "$\\phi_{11} = \\mathrm{Corr}(x_{t+1},x_t) = \\rho(1)$, для $h=1$\n",
        "\n",
        "$\\phi_{hh} = \\mathrm{Corr}(x_{t+h}-\\hat{x}_{t+h},x_t-\\hat{x}_t) = \\rho(h)$, для $h \\geq 2$\n",
        "\n",
        "где:\n",
        "\n",
        "$\\hat{x}_{t+h}=\\beta_1 x_{t+h-1} + \\beta_2 x_{t+h-2} + ... + \\beta_{h-1}x_{t+1}$\n",
        "\n",
        "$\\hat{x}_{t}=\\beta_1 x_{t+1} + \\beta_2 x_{t+2} + ... + \\beta_{h-1}x_{t+h-1}$\n",
        "\n",
        "По причине стационарности, коэффициенты $\\beta_1, ..., \\beta_{h-1}$ одинаковые для $\\hat{x}_{t+h}$ и $\\hat{x}_{t}$. "
      ],
      "metadata": {
        "id": "nnzMNnvJ_3ON"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# https://www.statsmodels.org/dev/generated/statsmodels.tsa.stattools.pacf.html\n",
        "plt.rcParams['figure.figsize'] = [12, 5]\n",
        "plot_pacf(w_t, lags=30, title=\"PACF for white noise\")\n",
        "plot_pacf(ma_3, lags=30, title=\"PACF for MA(3)\")\n",
        "plot_pacf(ar_1, lags=30, title=\"PACF for AR(1)\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "3lugAgCW75es",
        "outputId": "01907881-21f8-4683-c747-c5a98f2e74ea"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
            "  FutureWarning,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
            "  FutureWarning,\n",
            "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
            "  FutureWarning,\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "![Снимок экрана 2022-05-24 в 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)\n",
        "\n",
        "Shumway R. H., Stoffer D. S. Time series analysis and its applications: with R examples. – 2007. p.101"
      ],
      "metadata": {
        "id": "dsJBO_BuHMgk"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Моделирование ряда (Авторегрессия)"
      ],
      "metadata": {
        "id": "CS2iHyKmlqA1"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# JJ data\n",
        "# Johnson & Johnson quarterly earnings per share, 84 quarters, 1960-I to 1980-IV.\n",
        "# https://github.com/marcopeix/TimeSeriesForecastingInPython\n",
        "\n",
        "jj_data = pd.read_csv('https://raw.githubusercontent.com/marcopeix/AppliedTimeSeriesAnalysisWithPython/main/data/jj.csv',\n",
        "                      index_col=0,\n",
        "                      parse_dates=True)\n",
        "jj_data.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "J8nPRCOWi6P4",
        "outputId": "f682e0da-2aa4-4925-c2b6-dbc998039870"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            data\n",
              "date            \n",
              "1960-01-01  0.71\n",
              "1960-04-01  0.63\n",
              "1960-07-02  0.85\n",
              "1960-10-01  0.44\n",
              "1961-01-01  0.61"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-9c474dad-0e0d-4c31-a602-60489b62bf99\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <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>data</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>date</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1960-01-01</th>\n",
              "      <td>0.71</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-04-01</th>\n",
              "      <td>0.63</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-07-02</th>\n",
              "      <td>0.85</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-10-01</th>\n",
              "      <td>0.44</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1961-01-01</th>\n",
              "      <td>0.61</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-9c474dad-0e0d-4c31-a602-60489b62bf99')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-9c474dad-0e0d-4c31-a602-60489b62bf99 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-9c474dad-0e0d-4c31-a602-60489b62bf99');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 98
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data.plot(figsize=(15,10),fontsize=15)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 592
        },
        "id": "Dbdmgzc9l8lC",
        "outputId": "72f80ebe-4b5f-4f44-e111-85699ccc4ff2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f2ca2332050>"
            ]
          },
          "metadata": {},
          "execution_count": 99
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Детренд и сезонные вариации\n",
        "\n",
        "$$x_t = \\beta_1 t + \\alpha_1 Q(1) + \\alpha_2 Q(2) + \\alpha_3 Q(3) + \\alpha_4 Q(4)+ Y_t$$"
      ],
      "metadata": {
        "id": "ajpdaGqemK7R"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data[\"quarters\"] = jj_data.index.quarter\n",
        "jj_data[\"Q1\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 1) else 0)\n",
        "jj_data[\"Q2\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 2) else 0)\n",
        "jj_data[\"Q3\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 3) else 0)\n",
        "jj_data[\"Q4\"] = jj_data[\"quarters\"].apply(lambda x : 1 if (x == 4) else 0)\n",
        "jj_data[\"t_index\"] = np.arange(1, len(jj_data) + 1)\n",
        "jj_data"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "id": "_KAye1SMl_Rx",
        "outputId": "694ee156-ade3-4822-df9e-324b71bfa20b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "             data  quarters  Q1  Q2  Q3  Q4  t_index\n",
              "date                                                \n",
              "1960-01-01   0.71         1   1   0   0   0        1\n",
              "1960-04-01   0.63         2   0   1   0   0        2\n",
              "1960-07-02   0.85         3   0   0   1   0        3\n",
              "1960-10-01   0.44         4   0   0   0   1        4\n",
              "1961-01-01   0.61         1   1   0   0   0        5\n",
              "...           ...       ...  ..  ..  ..  ..      ...\n",
              "1979-10-01   9.99         4   0   0   0   1       80\n",
              "1980-01-01  16.20         1   1   0   0   0       81\n",
              "1980-04-01  14.67         2   0   1   0   0       82\n",
              "1980-07-02  16.02         3   0   0   1   0       83\n",
              "1980-10-01  11.61         4   0   0   0   1       84\n",
              "\n",
              "[84 rows x 7 columns]"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-034691ad-d92b-4835-be13-800b5b2ee42f\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <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>data</th>\n",
              "      <th>quarters</th>\n",
              "      <th>Q1</th>\n",
              "      <th>Q2</th>\n",
              "      <th>Q3</th>\n",
              "      <th>Q4</th>\n",
              "      <th>t_index</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1960-01-01</th>\n",
              "      <td>0.71</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-04-01</th>\n",
              "      <td>0.63</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-07-02</th>\n",
              "      <td>0.85</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1960-10-01</th>\n",
              "      <td>0.44</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1961-01-01</th>\n",
              "      <td>0.61</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>5</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>1979-10-01</th>\n",
              "      <td>9.99</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>80</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-01-01</th>\n",
              "      <td>16.20</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>81</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-04-01</th>\n",
              "      <td>14.67</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>82</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-07-02</th>\n",
              "      <td>16.02</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>83</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-10-01</th>\n",
              "      <td>11.61</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>84</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>84 rows × 7 columns</p>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-034691ad-d92b-4835-be13-800b5b2ee42f')\"\n",
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              "    [theme=dark] .colab-df-convert {\n",
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              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
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              "                                                     [key], {});\n",
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              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
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            ]
          },
          "metadata": {},
          "execution_count": 100
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = jj_data[[\"t_index\", \"Q1\", \"Q2\", \"Q3\", \"Q4\"]].to_numpy()\n",
        "x[:10]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DKfqQ2AwmZ6x",
        "outputId": "b33597d2-9222-4035-c4f4-e09d490d8d08"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  1,  0,  0,  0],\n",
              "       [ 2,  0,  1,  0,  0],\n",
              "       [ 3,  0,  0,  1,  0],\n",
              "       [ 4,  0,  0,  0,  1],\n",
              "       [ 5,  1,  0,  0,  0],\n",
              "       [ 6,  0,  1,  0,  0],\n",
              "       [ 7,  0,  0,  1,  0],\n",
              "       [ 8,  0,  0,  0,  1],\n",
              "       [ 9,  1,  0,  0,  0],\n",
              "       [10,  0,  1,  0,  0]])"
            ]
          },
          "metadata": {},
          "execution_count": 101
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "y_log = np.log(jj_data['data'].to_numpy())\n",
        "y_log"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Ljz315qtm6zY",
        "outputId": "1e23d8c2-288c-420b-cb59-dfb96170a9fe"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-0.34249031, -0.46203546, -0.16251893, -0.82098055, -0.49429632,\n",
              "       -0.37106368, -0.08338161, -0.597837  , -0.32850407, -0.26136476,\n",
              "       -0.08338161, -0.51082562, -0.18632958, -0.22314355,  0.        ,\n",
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              "        0.14842001,  0.26236426,  0.37156356,  0.22314355,  0.23111172,\n",
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              "        1.0260416 ,  1.22964055,  1.30562646,  1.28093385,  1.28093385,\n",
              "        1.4632554 ,  1.4632554 ,  1.39871688,  1.58103844,  1.61740608,\n",
              "        1.61740608,  1.48387469,  1.71918878,  1.76644166,  1.88251383,\n",
              "        1.66959184,  1.79674701,  1.85473427,  1.93585981,  1.76644166,\n",
              "        1.93585981,  2.04640169,  2.05796251,  1.8115621 ,  2.04640169,\n",
              "        2.18717424,  2.11384297,  1.92278773,  2.25549349,  2.32825284,\n",
              "        2.25549349,  2.16676526,  2.47485631,  2.48989419,  2.49732917,\n",
              "        2.18717424,  2.6419104 ,  2.56186769,  2.69799987,  2.30158459,\n",
              "        2.78501124,  2.68580459,  2.77383794,  2.4518668 ])"
            ]
          },
          "metadata": {},
          "execution_count": 102
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x.shape, y_log.shape"
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      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
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        "id": "G_d2M1smne12",
        "outputId": "023cd163-1b61-4b03-efee-112647b29c41"
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      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "((84, 5), (84,))"
            ]
          },
          "metadata": {},
          "execution_count": 103
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "reg_1 = LinearRegression(fit_intercept=False).fit(x, y_log)\n",
        "reg_1.coef_"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "g65t4dgWniGH",
        "outputId": "48456df8-0af0-4654-9e37-1ba0cc1c3cd0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0.04179304, -0.66072154, -0.6325988 , -0.56249051, -0.83124819])"
            ]
          },
          "metadata": {},
          "execution_count": 104
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "$$Y_t = x_t - \\beta_1 t - \\alpha_1 Q(1) - \\alpha_2 Q(2) - \\alpha_3 Q(3) - \\alpha_4 Q(4)$$"
      ],
      "metadata": {
        "id": "FzqHA2Ieoj0c"
      }
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    {
      "cell_type": "code",
      "source": [
        "deterministic_part = reg_1.predict(x)\n",
        "jj_data[\"Y\"] = np.log(jj_data[\"data\"]) - deterministic_part\n",
        "jj_data"
      ],
      "metadata": {
        "colab": {
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          "height": 455
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        "id": "5HkfY2LjoDcs",
        "outputId": "065e64cc-07a3-4605-f21e-cc4430b3cbd5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "             data  quarters  Q1  Q2  Q3  Q4  t_index         Y\n",
              "date                                                          \n",
              "1960-01-01   0.71         1   1   0   0   0        1  0.276438\n",
              "1960-04-01   0.63         2   0   1   0   0        2  0.086977\n",
              "1960-07-02   0.85         3   0   0   1   0        3  0.274592\n",
              "1960-10-01   0.44         4   0   0   0   1        4 -0.156905\n",
              "1961-01-01   0.61         1   1   0   0   0        5 -0.042540\n",
              "...           ...       ...  ..  ..  ..  ..      ...       ...\n",
              "1979-10-01   9.99         4   0   0   0   1       80 -0.210611\n",
              "1980-01-01  16.20         1   1   0   0   0       81  0.060496\n",
              "1980-04-01  14.67         2   0   1   0   0       82 -0.108626\n",
              "1980-07-02  16.02         3   0   0   1   0       83 -0.132494\n",
              "1980-10-01  11.61         4   0   0   0   1       84 -0.227500\n",
              "\n",
              "[84 rows x 8 columns]"
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              "      <th></th>\n",
              "      <th>data</th>\n",
              "      <th>quarters</th>\n",
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              "    <tr>\n",
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              "  <tbody>\n",
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              "      <th>1960-01-01</th>\n",
              "      <td>0.71</td>\n",
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              "      <th>1960-04-01</th>\n",
              "      <td>0.63</td>\n",
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              "      <td>1</td>\n",
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              "      <td>0</td>\n",
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              "    <tr>\n",
              "      <th>1960-07-02</th>\n",
              "      <td>0.85</td>\n",
              "      <td>3</td>\n",
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              "      <td>0</td>\n",
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              "      <th>1960-10-01</th>\n",
              "      <td>0.44</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "      <td>-0.156905</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1961-01-01</th>\n",
              "      <td>0.61</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>5</td>\n",
              "      <td>-0.042540</td>\n",
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              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
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              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1979-10-01</th>\n",
              "      <td>9.99</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>80</td>\n",
              "      <td>-0.210611</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-01-01</th>\n",
              "      <td>16.20</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>81</td>\n",
              "      <td>0.060496</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-04-01</th>\n",
              "      <td>14.67</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>82</td>\n",
              "      <td>-0.108626</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-07-02</th>\n",
              "      <td>16.02</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>83</td>\n",
              "      <td>-0.132494</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-10-01</th>\n",
              "      <td>11.61</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>84</td>\n",
              "      <td>-0.227500</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>84 rows × 8 columns</p>\n",
              "</div>\n",
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              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
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              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-01b73ae1-16f3-4067-b465-3d348d705a29 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-01b73ae1-16f3-4067-b465-3d348d705a29');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 105
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data[[\"data\",\"Y\"]].plot(figsize=(15,10),fontsize=15,subplots=True, layout=(2,1))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 628
        },
        "id": "wit_1EIHodbt",
        "outputId": "679ae64e-2b52-422b-d2dc-538356363a2d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f2ca2712f10>],\n",
              "       [<matplotlib.axes._subplots.AxesSubplot object at 0x7f2ca1bf2c90>]],\n",
              "      dtype=object)"
            ]
          },
          "metadata": {},
          "execution_count": 106
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.rcParams['figure.figsize'] = [12, 5]\n",
        "plot_acf(jj_data[\"Y\"], lags=30, title=\"ACF for Y\")\n",
        "plot_pacf(jj_data[\"Y\"], lags=30, title=\"PACF for Y\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 711
        },
        "id": "cwPZUJfsKjf5",
        "outputId": "dee9697b-ef9c-4609-bbc5-21930da0f142"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/graphics/tsaplots.py:353: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
            "  FutureWarning,\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "https://www.statsmodels.org/devel/examples/notebooks/generated/autoregressions.html"
      ],
      "metadata": {
        "id": "RD5K4Fit7hh5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# https://www.statsmodels.org/devel/examples/notebooks/generated/autoregressions.html\n",
        "\n",
        "Y = jj_data[\"Y\"].to_numpy()\n",
        "ar_4_model = AutoReg(Y, 4, trend=\"n\", seasonal=False)\n",
        "result_ar_4 = ar_4_model.fit()\n",
        "print(result_ar_4.summary())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_nx1OM-IK2YR",
        "outputId": "e1a7f9e5-104b-4f19-89c6-4d768450a6d0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "                            AutoReg Model Results                             \n",
            "==============================================================================\n",
            "Dep. Variable:                      y   No. Observations:                   84\n",
            "Model:                     AutoReg(4)   Log Likelihood                  88.196\n",
            "Method:               Conditional MLE   S.D. of innovations              0.080\n",
            "Date:                Wed, 25 May 2022   AIC                           -166.392\n",
            "Time:                        05:40:32   BIC                           -154.482\n",
            "Sample:                             4   HQIC                          -161.617\n",
            "                                   84                                         \n",
            "==============================================================================\n",
            "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
            "------------------------------------------------------------------------------\n",
            "y.L1           0.2376      0.086      2.774      0.006       0.070       0.405\n",
            "y.L2           0.0620      0.086      0.718      0.473      -0.107       0.231\n",
            "y.L3          -0.0456      0.085     -0.534      0.593      -0.213       0.122\n",
            "y.L4           0.5892      0.083      7.116      0.000       0.427       0.752\n",
            "                                    Roots                                    \n",
            "=============================================================================\n",
            "                  Real          Imaginary           Modulus         Frequency\n",
            "-----------------------------------------------------------------------------\n",
            "AR.1            1.0563           -0.0000j            1.0563           -0.0000\n",
            "AR.2           -1.1741           -0.0000j            1.1741           -0.5000\n",
            "AR.3            0.0976           -1.1657j            1.1698           -0.2367\n",
            "AR.4            0.0976           +1.1657j            1.1698            0.2367\n",
            "-----------------------------------------------------------------------------\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig = plt.figure(figsize=(16, 9))\n",
        "fig = result_ar_4.plot_diagnostics(fig=fig, lags=30)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 567
        },
        "id": "-HtWhIjdLkXk",
        "outputId": "94c2774d-f8e4-4194-94f7-3604db2dcb5a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x648 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "len(Y)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iIiaDdTDRdjl",
        "outputId": "f3ab05ca-9841-439a-e112-c703d604fe71"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "84"
            ]
          },
          "metadata": {},
          "execution_count": 110
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "result_ar_4.plot_predict(1,92)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "X7BGRDN5PgQ9",
        "outputId": "cbecc3c6-4b12-4490-cc92-c86d62791242"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "result_ar_4.plot_predict(1,120)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "do4u5Nc8Ri2T",
        "outputId": "becf5828-164e-4078-ec2a-bc3478e959a0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ],
            "image/png": 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3Jnmj75Ii7T3twv4zw+gZpuwXIUpJiBxDvgjqbdLlTsouE0LG8nq9ePvttzE8PAyr1QpBEGA2m3HgwAH4/f6M9zlz5gwOHz4Mi8WCsrIyyhKTglCwXKThYAwA4ItQZpkQpTj8EYgcWDNX6kanJj9CSLqBgQG8/fbbSCQSo4JejUYDxhj27duHRGL0Fane3l4cOHAAFotl1Pg3QvJFwXKR3EFpRWWAgmVCFCOXYKyZWw4A6KXMMiEEQCwWw9GjR7Fr1y7odDoYjcZxx5hMJgwPD+PEiROprw0ODuK9996D2WwuqAGQkHT0nVMkObPsD1OwTIhS+j1SsLxqtrQxq2+CzPKpAR9iCRHL67Jv2CKEnN+GhoZw4MABhEKhVNlFJowxWK1WnDp1ClVVVdBoNHj33XdhNBqh0WjO8rMm0wkFy0UaTmaW/ZRZJkQxAz5pbNycCiOqzLoJa5bve/4o/JE4Xrp749l4eoSQEgWDQRgMhrxqhqPRKI4dO4aOjg4YDIbUspBcBEGA0WjEvn37wDmHTqeDVqtV4qmTGYyC5SINUxkGIYob9IYhMKDKrEOdTY+eCWYttw76EY4lwDmnhh1CpjDOOdra2nDs2DFs2LABdrs95/E+nw87duxANBqFzWYr6Odbp9MhkUhApVJBr9eX+tQJoZrlYg0HkmUYFCwToph+Txh2iw4qgaHOakCfJ3sZhicYgzMQRSCagDMQPYvPkhBSiGg0ivfeew9HjhwBAJw+fXrC+7S2tiIWixW9Kc9oNFKgTBRDwXKR3KkyDJoDS4hSBnwR1JRJb3C1Nj363CFwzjMe2+4YGRHV6QqeledHCCmM2+3Gtm3b0N/fD5vNhrKyMvT29iIUyn7VKBKJoKurC2az+Sw+U0Kyo2C5CJF4AoHksgR/JHaOnw0h08egN5wKluusBgSiCXizNNG2DwVSf+50UrBMyFTCOUdHRwfefvttiKKYyhDLv3p6erLet6enB5xzWhhCpgz6TiyCOzgSIAcos0yIYvq9YdSU6QBImWUg+2KSdocfKkG6PHuGgmVCpgTOOYaGhvDWW2/h4MGDMJlMMBgMo44xGAxobW2FKIrj7i+KIlpaWsbdh5BziRr8iiA39wGAj0bHEaKIcCwBdzCGWXJmObnFr9cdwpJZZeOObx8KYF6FEcFoYsIyjHAsgce2tUJgDBUmLcpNWlQYtagwaTG/2gSdmhYVEFIqt9uNY8eOYXBwEHq9PmtjnlarhdvthtPpHNfo53A4EAqF8pp8QcjZQsFyEeTmPsZoGgYhShn0SmPjqtPKMIDsW/zahwJospvgDcfR6QpkPEb2bpsT//lma8bbTFoVLl9kx9VLa3DlkmpUmGjMFCGFiEajOHLkCLq6uqBWq/OaXqFWq3H69OlxwXJbWxvNRCZTDgXLRZCb+2aV6WkaBiEKGfBJQbFcs2y36KAWWMYyjITIcdoZwOWLqjAcjOGdU0M5z90y6AMA7P/W1eAAhgNRuAJRDPoieLfdiTeOD+DPR/shMOCieeX43MYmbFk+S9l/ICHT1NDQEDo6OlBRUZH35Aqj0Yi+vj6Ew+HU1IpAIICBgQFYrbRkiEwtFCyP8bc/24PldVZ87cNLsh4jb++bXW6A008jqwhRgrzqWi7DUAkMNWX6jFv8et0hROMimuxmOHwRDPoiCEUTMGgzl1OcGvDDbtGh0izVQ1clfweA61fVgX9sBY72ePHa8QE8vbcT33/1ZNHB8hvHB7Ci3poK+gmZ7txuNzQaTUEj3gRBAOcc3d3dWLBgAQCgs7Mz1QBIyFRCDX5jOPxRtA76cx4j1yzPLjdSZpkQhcirruUGPwBZF5O0O6Syi6YqE+ZWGgEAXcPZ65ZbBv1YVJN9DBVjDBfMtuKeDy7Cx1bXo8MZRELMPLIul11tDtz+y33497+cKPi+hJyvHA5HUVvyjEYj2trawDlHPB5HW1sbTCbTJDxDQkpDwfIYdosOQ/5IzmOGA1EYNCpUmrQULBOikEFfBFq1AKthpF6xNstikvYh6QNtk92MuRVSsJxtIgbnHK0DPiystuT1PJrsJkTjInon2B44ViSewLeeOwoAeO3YAMIxmpRDShMMBtHZ2anoOUVRRDCo3PQYURTh8XiKCpa1Wi1CoRCcTif6+/sRj8ehVtMFbzL1ULA8ht2sg8M3QbAcjKHcqIFZr0YwmigqA0UIGW3AG8asMv2oS7C1Nj36PWGIY37G2ocCsOjVqDJrMa9SykRlm4jR5wkjEE1gQXV+Cw4aq6Tj2oZyX2Ea6/G329HuCOD2yxrhi8QnrKMmZCLBYBAdHR2KntPhcODVV1/F0aNHEY2WXkYYCoVKmoksN/q1tLTQxj0yZVGwPIbdosOQL5J1axggNfjZjFqYddIn4ECUssuElKrfEx5VggFIEzGiCXHcOut2hx9NVSYwxlBu1MCiU6PTmXkiRkuyrGphnsFyk10KvtOXnkzktCOA/9rWimtX1uJrH16CCpMWLx7uy/v+hGTj8XgQieRO4BQiGo1CFEW0trbitddew5kzZ8bNO45GoxgYGMDJkycRi+VevOX3F/ahciyj0Yje3l54PB7odLqJ70DIOUDXO8awW3SIJkR4QjHYjJkvK7mCUZSbNCPBciSOMj2NuiGkFIO+CJbVjZ6nLM9a7vOEYLeMvJGeHgpgXVMlAKneeE6FEWeyZJZbBqRJGAtr8ivDqDRpUaZXj1qnnQvnHPf/31HoVALuv24ZNCoB16yYhecO9CAYjcOopZdZUrxIJAKv1ztuxFqxotEoBEGAzWZDLBbDgQMH0N7ejiVLlsDn86Gvrw9utxsAEIvFYLPZUFNTk/V8Ho+npOcjCAIYY1CpVNTYR6YsyiyPIb8hD+UoxXAHYyg3amFKBst+WkxCSEk45+j3hFOTMGS1Vunv6fXDwWgcvZ4wmqpGGoHmVRqzlmG0DvpRadLmPT+ZMYYmuznvzPILzb3Y3uLAVz60ODUB4/qVdQjFEnjzxGBe5yAkm1gslgpelRAMBqFSSVNjNBoNysvLEQqFsGfPHhw/fhyhUAhlZWWwWq3QaDRwOp05z+d0OouqV05XVlYGszm/Kz+EnAsULI9hN08cLA8Hoyg3amHWJ4NlavIjpCS+SByhWGJ8GYZt/GKS0/IkDPvIm+vcSiO6XaGM/QMtg/6865VlTXZTXsGyJxTDv/zpOFbOtuLW9fNSX7+ksQJ2iw4vNvcW9LiEZDI4qNyHrnA4PK6+2Gg0wmazwWq1Qq8f6RvQ6/UYGBjIei7OOYaHh0sOlgmZ6ihYHiOVWc4yESMhcnhCyQY/HQXLhChh0Dt6IYms3KiBTi2MWkwiB7FybTEAzK0wIpoQ0e8dPTmDc46WAR8W5hgbl8l8uxn93vCEGzoffuUEXIEI/u3GC6ASRi4hqwSGay+oxbaTQ/CFc9d8EpKLXq+Hy+UaV1dcrFAolMosT0Sr1cLr9WatW45EIojFYnmfj5DzFQXLY0xUhuENxcA5YDNqYdKO1CwTQorX75F+3sYGy4wx1NkM6E0bHycHyw2VaWUYFcmJGGPGxw36IvCG43mPjZPJJR5yFjuT1kE/frOnE7dtaMCK+vEbx65fVYtoXMRr72fPzBEyEUEQIIoiAoH8G05ziUQieQe3coY5W11yqc19hJwvKFgeo0yvhlYtZA2WXcmFJOUmDSypMgyap0pIKQayZJYBaTFJes3yaYcf9TbDqG1985KLSTpdowOKloHCJmHIGuWJGDmC5d3tTnAOfPbSxoy3r5lTjnqbgUoxSMk45/B6vYqcKxwOF5wJdrlcGb/u8/lyTo4iZLqgYHkMxhjsZl3WYNktB8ujGvzoMishpej3jt/eJ6u1GkatvG53BEaVYEjH6KEW2LjFJC2DhU3CkDVUmsDYyPKTTJq73KgwaTG73JDxdkFguG5lLba3OFKvG4QUQ6VSweFwlHyeRCKBeDxe0NQJnU6XtW7Z5XJBo6FJUGT6o2A5g1xb/IYDUmAsBcvSp/NAlDLLhJRi0BuGRa/OOGatzqrHoC+MeEIE5xztQ4FRkzAAQK0SUF9uGDcRo2XQD5tRgypzYQ1Ieo0K9TZDzia/5m43Vs225gw8rltZh7jI8Zej/QU9PiHpdDodhoZKX3ITi8XAGCsoWNZqtXC5XEgkxr/PuVwuau4jMwIFyxnIi0kyGU7LLOvUKmhVAnw0Oo6Qkgx4IxlLMACg1maAyIEBXwRDvgj8kfioSRiyuRXjx8e1DvixsNpc1PzWJrs566xlfySOlkE/Vs2x5TzHivoyNFQa8SdaUEJKoNFo4Pf7J1wQMpFi7i9PzhhbBhKPxxEMBmk9NZkRKFjOoDpHsOwOSi82NpN06cmsV1ODHyEl6veOn7EsGxkfF0JbMtPbOCazDEjBcnoZBuccpwZ9WFBgc5+sqcqE00OBjDWZR3s84BwTBsuMMVy3sg672hw5x1ESkoucDS61brnY9dbyiLh0cnMfLRIhM4EiwTJj7BrG2EnGWCtj7GsZbr+cMXaAMRZnjN2kxGNOJrtFB1cwilhi/KgeVzAKtcBgSdYrm3QqGh1HSIkGvWFUZ6hXBqQyDEAKlkdmLI8PludVGuEJxeBJfqB1BqJwB2MFN/fJ5ttNCEQTGPCOD3Kbu6QlEatm5w6WAeD6VXUQOfDno5RdJsXjnJe8nKTYzLRWqx1Xt0yTMMhMUnKwzBhTAXgMwIcBLANwC2Ns2ZjDOgF8GsBvS328s8Fu0YFzwBUY/yncHYzCZtSmPk2btGoKlgkpgShyDPoiWTPLtamV12G0D/mh1wios45vqptbIU/EkLLLqUkYBc5YlsmlHplKMZq73ZhTYchrK+DiWRYsqjHjB6+34Ld7OhHP8CE8XTSuzDxdMr1otdqSl5NEo9GiplfodDo4HI5Rs55dLte45SaETFdKfKdfAqCVc97OOY8C+D2Aj6YfwDnv4JwfBnBevAvk2uI3HJAWksgserVi66455wjHqFmQzCzOQBRxkWetWTbr1LDo1ehzh9DuCKCh0gRBGH/pd25y1vKZ5Pi4VnkSRrFlGPL4uAxNfs1dnryyyrIf3bIGTVUmfOO5I7j2Rzvw9qnRzVrDgSieercDH3tsJ5bc92cc7lZuvTGZHnQ6HZxOZ0mj2sLhcFFlEyqVCqIojsomU3MfmUmUCJbrAXSl/b07+bXzVq7FJPKqa5lJp0Ygqkyw/NbJIax54DUMZ8hoEzJdDeQYGyerTy4maR/yY36G5j5AWnkNjGSWTw34YdGpc543lxqLHgaNalywPOSLoMcdwuoJ6pXTLZlVhme+8AH89ycvRCiWwG0/fw+f+vl7+MP+bnzuqX245N9ex/3/dwzhWAIqgeElaggkY6hUKiQSiZKWkxSyvW+s9DIQURTh9XopWCYzxpS6hsIY+zxjbB9jbJ8SY3KKlStYdgdjsKVlls065cowjvd7EYol0Ju22peQ6S7XQhJZrVWPM84AuoZDGZv7AOlnsdKkTW3xaxn0YUFNcZMwAGlOcmOVaVwZhpz1XVlAZhmQGqE+ckEtXrvncnzr2qU41DmMrzzTjENdbtz2gQa8fPdG/OUfLse6xkq8caK0y+1keip1OUk4HC66dEKj0aTKQAIBqfGVmvvITKHEzJceAHPS/j47+bWCcc5/AuAnALB27dpzthaoKlmGMegLj7vNFYxizdyRN0mzTrkyDDk4lxuUCJkJ5Aa6nMGyzYBtJ6UP0Jma+2RzK0cmYrQO+rF5SU1Jz63JbsLh7tGrfpu73BCYNBauGDq1CndsbMJNF81G21AAq2ZboVaNBDCbl1bjn198H2ecAcyrzP5vJTOPIAhwOp2oq6sr6v6lZJZ1Oh0GBwfBOafmPjLjKJFZ3gtgIWOskTGmBfBxAC8ocN5zRq9RoUyvHpdZ5pynGvxkZp1yo+PkxxumYJnMIAPeMBgbuaKTiTwRA0DGGcuyeclZy65AFA5/tOjmvvTH6h4OIhIf6SU41O3BohpLxgUqhbAZtbhoXvmoQBkArlpSDQB4k7LLZIxSl5NEIpGig2W1Wo1YLIZgMAiPxzPxHQiZRkoOljnncQB3AngFwHEA/8s5P8YYe4AxdgMAMMYuZox1A7gZwOOMsWOlPu5ky7TFLxBNILowg3wAACAASURBVJbgoxr8pJrlBESx9ES4HCy7Q1SzTKaf/zvUg1/sPD3u6wPeMCpNOmhU2V+O5FnLwASZ5Qoj+jwhHO+TLlUvKHJsnGy+3QSRI5Wt5pzjcLe7oHrlQs2rNGFBtRlvHKdgmYym1Wrh8/kQjxeeoOGclxQsyzweD5xOJ9UrkxlFkdU7nPOXAbw85mv3p/15L6TyjPNGpi1+cuNd+ZjMMgAEonFY9BqUQg7O3ZRZJtPQo6+dwhlnEItnWbBhflXq6wPe8IRNeLXJUXFVZh3Kcvycza2UgtttyazswpriJmHImqqS4+OG/FhUY0GnKwh3MFZwvXKhNi+pxs93noYvHCv5dYVMH3KNsNfrRUVFRUH3jcfjEEWxpDpjQRAwODgIt9sNvT572RQh082UavCbSuwW/fhgObnqelSDn14KlpVo8ktlloOUWSbTS5criDPOIBgD7v3D4VGlS/3e7DOWZXU26fZcWWVAWkwCSCUMJq1qVPlGMRrl8XHJZSiH5GUkc6wlnXciVy2pRizBsaPFMamPQ84/nPOiyiBisVjJDXl6vR69vb2Ix+MlZ6gJOZ9QsJyF3Zwhs5zM+KYvIjDJmeUSg+VwLAFfslGQapbJdLOrTQr6/vVjF6DHHcL3/nwidZu0vS93UDsrGfQ2ZZmEIZMXk7Q7AlhQXfwkDJlZp0a1RZcaH9fc5YFeI2BRiRnriVw0rxxlejVNxSDjFLucpNhV1+nUarUi5yHkfEPBchZ2iw6BaGJUEOxOZZZHgmV57bWvxIkY6YE5lWGQ6WZHqxPVFh1uuWQOPntpI361+wx2tToQjYtwBqITlmHo1Cp84yNL8Ml183IeV23RQa+RXtYWFLmMZKwmuwntQ1L3f3O3GyvqrDnrq5WgVgm4YnE1tp0YVKQfgkwf8lSKQkfIFbvqOp384bOUxSiEnI8oWM5C7sx3pDX5jdQsj27wA4BApLTNe3K9MmOAhxr8yDQiihy7Wh24bEEVGGP4ypbFaKwy4d4/HkaHU8rYTlSGAQCfv3w+Lpidu/yBMZbKLpc6CUPWZDej3RFALCHiWK9n0uuVZZuXVsMZiKKZtvmRNCqVCiqVCm+99RZ6e3vzvl+xq67HMplMsFgm98oKIVMNBctZZFpMIpdHWA2jl5IApdcsDyZnzc4uN1AZBplWTvT74AxEsWGB1NRn0Krw8E0r0eMO4at/OAwg94zlQqWC5RInYciaqkxwB2PY0+5COCZOer2ybNMiOwRGI+TIeEajEQaDAbt378bx48chiuKE91GqfEKj0VC9MplxKFjOwm7OFCxHUaZXj5qLqlSwLGeWF1VbqAyDTCs7W6V65UsXVKa+trahArdf2ojmZMNcdZErqTOZWyHVNS9UqAxDXq/97MFuAJjUsXHpbEYt1s6roBFyJCONRgObzYYTJ05g7969EwbDoVCo6O19hMx09JOTRSqz7B+dWU5v7gNGpmGU2uA35IuAMWB+tRnuoDKXywiZCna2OTDfbkqNf5N95UOLUw17SmaWP3zBLNy4ph6zyw0TH5wHeQLHK0f7YTNqUpnrs+GqpdV4v8+LPk/orD0mOX8IggCbzYb+/n5s3749Z8BcyvY+QmY6CpazqDBpIbCxjXejt/cBgEknvfiUnFn2RVBp0qLKrEVc5AhES6uBJmQqiMZF7Gl34bIFVeNu02tU+O9bL8Q9H1yESpNyCw4ubqjAf2xdDUEobRKGbHa5ERoVQyCawMrZtpInbBRic3KbH2WXSTaMMVitVvj9/pxNf+FwmIJlQopEwXIWKoGhasz4uOFgdFRzHyB16WtUTJFgucqsg80gBQ1yMyEh57ODncMIxRK4NEOwDABLZpXh7s0Lz2oAWiiVwDCvUsour56gwVBpC6rNmFNhoLplMiHOOQKBQNbbw+EwlWEQUiT6yclh7Ba/4UBs1PY+mVmnhr/U0XH+COwWXWrhiSdEdcvk/Lez1QGBAeuaKic+eAqTy0VWnaV6ZRljDJuX1GBnqwMhutpEclCpVJRZJmSSULCcg92iG1OzHEV5hsvFJp265Jplh08OlqXzU5PfzCaKHL/c1aF4gNQ66Dur9fA7Wh1YOds2aoLM+WhBcrLG2Robl27z0mpE4mKqUZKQTDQaDdzuzGMGRVFELBajzDIhRaKfnBzsZl1qpFsknkAwmhhXhgFImWVfCcEy5xxDvtGZ5WFaeT2jHev14tsvHMNbJ5W7/N466MPVj76DXW1Oxc6Ziy8cQ3O3J2O98vnm0xsa8ONbL0w1/p5NlzRWoNKkxb+89D4GfeGz/vjk/KDRaOD1ejN+GJZXXU/lcidCpjIKlnOwW3Rw+CMQRZ7K9I5t8AOkYLmUzLI3FEc0IcJuHgmW3VSGMaO5k4tpSt0Mma7TFQQAdA8HFTtnLnvaXUiIPGu98vmkukyPa1bUnpPH1qlVeOK2tRj0RnDbz/dSiRbJSKVSIRaLZdzUp8T2PkJmMgqWc7BbdIiLHO5QLJXpzVizrC8tWB7yh1OPJzf4uanBb0bzhqTvp1KuWIwl19+7AmfnjXNHqwN6jYAL55390oXp5sK55fjx316E1kEfPvfLfQjHqH6ZjMcYQzA4/sOwUgtJCJmpKFjOIX2L33AywMhUhmEqsQxjMBnE2C06aNUCTFoVZZZnOG9Y+v9fauNoOodfesN0BSITHKmMna0OXNJYCZ2amoqUsGmRHY/8zWrsPePCnb89iHhi4q1tZGbJNhGDMsuElIaC5RzSt/ilMssZGvzM2hIzy8lgudoiLWawGbVUszzDyZfa/RHl3uTOZmZ5wBtGy6Afl84/v6dgTDU3rKrDP9+wHK8fH8DXnj2Sd7NmNE6B9UzAGIPP5xv39WiUFl0RUgoKlnMY2eIXnrAMo5QM4FBaZhkArAYNPDQNY0bzpoJlBcsw/HKwPPmZ5ZEV1+d/vfJU86kPNOD/bV6IP+zvxvf+cmLC418+0ofl3/4LjvZ4zsKzI+dStokYkcjZuZpEyHRFwXIO6WUYIw1+mcswAtEERLG4T+5Dvgi0agFlydXZ5SYNlWHMcHIZhpINfg45s3wWPojtaHWg3KjBstqySX+smegfrl6IT66bi8ffbscf93dnPa510I+vPtOMWILjpSN9Z/EZknNBnogxFq26JqQ0FCznYNapodcIyZrlKAwaFfSa8S84Fp0U5AaixQU2Q74I7GZdaqyPzUBlGDOd3OCnZGbZcZYyy5xz7Gp1YsOCKsVWTpPRGGP4zg3L8YGmSnz9uSM42Dk87phAJI4v/Ho/9BoVlteV4c08Vma/eqwfr78/MBlPWVHRuEg12xmo1WoEg0EkEqMbQClYJqQ0FCznwBhLbfFzBaOoyFCvDEiZZQAIRIrrUJe398lsRirDmOkmo8FPLvcZnuSa5dZBP/q94WkxX3kq06gEPPbJC1FTpsPf/Wo/BrwjM5g55/jas0fQPuTHf96yBjeuqcfJAR+6XNnHBsYTIr7+7BF8+4VjU76+9XNP7cNXnmk+109jypFnKY+diEHb+wgpDQXLE7CbpS1+7mAsYwkGINUsA8U3Y8kLSWQ2o1SGMdXfsMjkUbpmORJPwBuOw6BRwR+JIxKfvNFj77RI9coULE++CpMWT3xqLfyROD7/q/2pkXK/3NWBF5t78ZUPLcaGBVW4akk1AGBbjiU3u9qccAai6HGH0DY0fqJCsX67pxPP7OtS7HyeUAw7Wh04NeBX7JzTDQXLhCiLguUJyJnl4WA0Y3MfAJh10ouQv9jM8thg2aBFQuSKztglkmA0jr//7YGztpijWN5kRlmpmmVncmzcwhppbfNkZpd3tAyhqcqEORXGSXsMMmLJrDI8+jer0dzlxjeePYL9Z1x48KXjuHppDb5w+XwAQJPdjMYqE97IUYrxYnMvdGrpLeHtU0OKPb+f7mjHr3afUex877Y5kRB5qmGVjMY5h9/vH/X3SCRCq64JKQH99ExADpZzZZZNWrkMo/DAJpYQ4QpGU2PqgJEmQirFUN6xXi9eOtyHd045zvVTyUnpzLJcgrGoxgIAcE3S0ptIPIHd7S5ctpCyymfTNStm4Z4PLsKzB3tw60/fQ53NgEf+ZtWomvGrllTj3XYnghl6KyLxBP5yrB/XrazDfLtJsWA5IXJ0uYLo8yi3pnt7i/TcXIEoEkU2VU9nYydiiKIIURQpWCakBPTTMwG7WY/hYAxDvkj2zHKyDKOYLKArEAXnQHVZerAsPQ41+Smv1x0a9ftUlapZjsQVKceRm/sWJTPLkxUsHzjjRiiWwMaF9kk5P8nurqsW4NqV0kru/7n1QlgNoz/cb15SjWhcxM5W57j7vnPKAV84jutX1WLTomrsaXcqsiWw1x1CLMHh8EcUm/W8IzmWMCFyeo3MQKPRwOMZGRNI2/sIKR0FyxOQyyP8kXjGhSSANDUDKC6znJqxnJZZlrcEuimzrLj+ZIar1zN1g+VIPIFwTIRFr0ZC5AgpELSMBMvJzPIkBRnbW4agEhjWN1VMyvlJdowx/OfH1+Ddr1+F5XXWcbevbaiARafGmyfGT7t4obkX5UYNLl1QhU2L7YjERexuHx9UF6oz2VDIOTDoKz273OkM4owziEsape8vB5VijKNWq+H3+1MfsmOxWGrSEiGkOBQsTyC9ljjTqmtgJFgu5pK5/AYytsEPoMzyZJAvB0/lzLI8Nq7eZgCgzESMcWUYkxRkbG9x4MK5Nlj0mX9WyOQSBJa6MjWWVi3g8kV2vHF8cNTVimA0jtffH8BHLqiFRiVgXWMFdGpBkVKMDudIo2C/AqUY21ul5/RXa+oBjHxfkxGCIIBzjlBIeo2j7X2ElI6C5QlUjwqWc4+OKyZYHru9Dxgpw/DQYhLF9SUzykrWUCpNLsGoSwbLSjR6OvxRWPRq1JTpwdjkLCZxBaI42uuhEowp7Kol1Rj0RXCsd2RxxRvHBxGKJXD9qjoAgF6jwvqmSkWC5U7nSCOtEj9z2085UG8zTEpm+fG32/C/e5Wb2nGuyRMxKFgmpHQULE8gU8Z3LJ1agEbFSgqWq9LKMORaw8mehzsTyW/Yfe5w0RsXM1FyQYLc3Fdn0wNQKLPslxbfqAQGm0GD4UmoWd7Z6gDnoOa+KeyKxXYwhlFTMV5s7kVNmQ4XN4yUzmxaZEf7UCDnXOZ8dDgDqYRDqZnleELErjYHLltQNWq7qhJ63CE89MpJRad2nEuccwQCUlY/FqP3EUJKRcHyBCrNI9nkbJllxpi08rrIYLlMrx61GVCjEmDWqeEOURmG0vo8YQgMiCZEOBUKGDudQSz/9ivY2+FS5Hzy2Lh6mzR6TYmJGEO+CKqSAUa5STspDX47Whwo06uxsn58vSyZGirNOqyZY0vVLXtCMbx1cgjXrayDKm1yxqbF0tWBUrPLZ5xBXFBvhVGrKjmzfLjHA284jo2LqkZtV1XCkztPIyFydDgC0yILq1KpUk1+oVCIJmEQUiL6CZqATq1KZZSzbfADpLrlYjKAY7f3yWiLn/KicREOfwRLa8sAKFe3/PapQUTiIg6cGb9yuBhjM8tKzFp2JDPLAFA5CcEy5xzbW4awYX4V1Cp6WZnKNi+tQXO3B4O+MF491o9oQkyVYMiaqkyYXW4oKVjmnKPTFcS8ShNqrfpUCVSxtp9ygDHg0vlVYIyhyqyDw1/697E3HMPv3uuCXiPAF4lP2qSYsyl9IgYFy4SUjn6C8iAHGdnKMIBksFxkZjlbsEwNfsoa8IbBObB2XjkAlPzmLdt9Wsoon3Yos/VMrllONfgpUbPsi6AqeZWk3Kh8sNw2FECvJ4yNi6gEY6q7crG0ze+tE0N48XAf5lYYsWr26KsBjDFsWmTHrlZH0SPfhvwRBKMJNFQZUWs1lJxZ3tE6hAvqrampRPIM/FL9/r1O+CNx/P0VCwCMbko8X2k0Gni93lSjH23vI6Q0FCznwW7RQS2w1NSLTEwlBcv6cV8vN2rhpgY/Rclv1hcmg+Ued+kNR5xz7GmXguV2pYLl5DSMutQ0jNK+D8IxadW1/KGswqRVfHTcjuSiiMupuW/KW1prQa1Vj2f2d2FnqwPXr6rNOFps0yI7AtEE9hd5xeRMsrlvXqUJs6z6kmqWfeEYDnS6R61QlzLLpQXL0biIn+/owIb5lakZ1acdU3u7Zz5UKhVisRii0SgikQgFy4SUiILlPNSU6VFp1uacVWkuoWa5OkNm2WrQ0JxlhcmZ5GW1ZdBrBPQpUIbRNhSAwx+BQaNSLLPsCcWgVQmpevlSM8tybbbcRFph0mI4oGyH/PYWB+ZVGmnF9XmAMYarllRjb8cwEiIfV4Ih27CgCmqBFV2K0ZH8eZhXYUStVY9BX7joRtjd7S4kRD5q0ooSmeWXjvSi3xvG5y5vwuxyI1QCSz3v8x1jDMFgEOFwmIJlQkpEwXIe7rpqAf5j6+qcxxRThhGIxBGIJrKWYbipDENRcma51mZAndWgyGKSPaelxQ03rKrDkC8CX4lZYEAqwygzqKFTq6BVCyWPjnOMmbhSYdIiLvJUI2GposkFFhtpCsZ5Y/NSqRRjYbUZi5Ozt8cy69RY21BedLDc6QpCJTDUlxswy6qHyKXSjGJsbxmCUavChfNsqa9VmXVwBaNFB+Ccc/zkndNYWG3GFYvs0KoF1NsMOD0NyjBkwWAQ0WiUapYJKRH9BOWhyW7Ghvm5A4FigmX5EmL69j5ZuVELTyim6Hizma7fE4ZFp4ZZp0adzYBeBcow9rS7UG3R4colUsZLieyyNxRDWXKph6XIxtF0Y2d5y42qSo2PO9g5jEA0gcsWUAnG+WLD/CpUmbXYevGcnFfMNi2qxvE+Lwa8hf+sdDiDqLcZoFEJqLVKpWbF1i3vaHEkl6WMZEjtFh04L351+85WJ473efG5y5tS/w0aqkw4M42CZZfLBc45bfAjpEQULCtEGh1X2FriwQwLSWRWgwYiV2YSApH0eUKoTU6YqLXqS56GwTnH7nYn1jVVosluBqBQsByOw5KctW3WF1cLn07+UJY+Og6AYqPztrc4oBIYPjC/UpHzkcmn16iw62ubcftljTmP27RI+gD0ThHZ5U5nAPMqpbKcWWVS/X0xdctdriDaHYFxy27kJMNgkaUYP9neDrtFh4+uHilDaaw0osMRnBbj4zQaDRwOBwXKhCiAgmWFyEFNIZngTNv7ZPJMZ5q1rJw+TxizrNKbdp3NgCF/pOhOf0DKnA36IljfVIG5FUYwBrQPKZNZlhfTFDuSMJ0cLFcmg+RKhTPL21sdWD3HlnrO5PygVQsTBlJLay2wW3RFlWJ0OIOpYLmUzPKOVgcAjCvzsVuk7+NimvyO93nxzqkhfHpDw6hsdUOVCf5IXJGRdOeaVquF3+8/10+DkGmBgmWFmHXSC24wln92OVewLI+pG6YmP8X0ecKoS75p19n04BxFXV6W7WmX6pXXNVZCr1FhdrlBocxyDGV6afKKWacuvWbZHx21+Eb+IKbE+Dh3MIrD3aOnFJDpQx4ht73FUVAiwB2MwhOKoaHSBEB6PdOpBfQX0Sewo8WBWWV6LKg2j/q63Sz9LBfT5PfT7adh1KrwyXVzR329oUp6vtNhfJxKpUIiUdjVTkJIZooEy4yxaxhjJxljrYyxr2W4XccYezp5+x7GWIMSjzuVmJJj5QrJAg75IlAJLONmQDlYpiY/ZcgLSWalgmUpw1xKKcbudieqzDrMt0tvsI1VZoVqluMoS2ZpLXplapar0j6QyTXLSoyPe+5gDzgHrl5aU/K5yNS0rrECnlAMbUP5ZynlsXFzk9NRGGPJxSSFfTgVRY6dbQ5sXFg1LgtelcosF/Z97ApE8UJzD/5m7RzYxrz2ysH9dJiIwRgDY2xalJQQcq6VHCwzxlQAHgPwYQDLANzCGFs25rDbAQxzzhcA+A8A/17q40418gzmQupLh3wRVJq0o9bMyuQXcRofpwx5IUldsgyjNvl7sRMxOOfYc9qFdU0VqTfxpioTTiuwLlfKLKeVYZSYWR7yR1KTMADAqFVBpxZKLsMQRY5f7urAmrk2XDCbVlxPV2vmShMoDna5876PnJmVM7UAipq1POiLwB2MYWWG7y+jVg2TVlVwZvkvR/sRS3DcvHb2uNtmlxuk8XHTILMMgAJlQhSiRGb5EgCtnPN2znkUwO8BfHTMMR8F8Mvkn/8AYDObZl0HRQXLWVZdA4DNQJllJckZrVlpZRgAip6I0eUKoc8TxvrGitTXGpP1jsWOxwKkBSLRuIgyQ7IMQ6EGv/SJK4wxVJi0JTf4bTs5iA5nEJ+5NHeTGDm/NVWZYdGrcaiAYLlzTGYZQFFb/Hrc0nlml2ee3223FL6Y5MXmXjTZTViWXHufTqMSMKfcgI4iFpO0DPhK6oGYDHq9HkYjzT4npFRKBMv1ALrS/t6d/FrGYzjncQAeANOqdV4OlgtZTJJtIQmAVLMUbfFThryQRA6SjVo1bEZN0WUYu5Pzldc1jXwbNyazaKdLaPLzJv9/j2SWNYqUYYz9UCYvJinFL3Z2YFaZHh9eMauk85CpTRAYVs+x4WBnIZnlIGaV6VN18oDU5DfgDRdU+9w9LP181pcbMt5eZS5sMcmgN4zdp524YVVd1ubGhuQVokIEInFc+6Md+J+32gq632TT6/XQaseX+RFCCjOlGvwYY59njO1jjO0bGipuEP65YiqyDCNbZlmtEmDRq6kMQyEjmeWRN926IjJdst3tTlSYtFiY1nQkB8ulrL32JpeapNcsRxMiIvHiGnXCsQR84TiqzKPfMEvNLJ8a8GFHqwN/+4F50Kim1MsImQSr59hwst+LYDS/17dO18jYOFmtVY+4yOEI5B/c9iQ/zNbbMgfLdouuoCs5fzrcB86B61Zm3loISHXLHc7Cyqn6PGFEEyJePtKX930IIecPJd7legDMSfv77OTXMh7DGFMDsAJwjj0R5/wnnPO1nPO1dvv5teDAoi+swU8UuXR5PEuwDNAWPyX1e8Kw6NWpKwCAlGUuNrO8p92FdY0Vo7JT9TYDtGqhpCY/T0j6/kmfhgEU1jiabuyqa1m5UYvhEr63frGzAzq1gE9cMnfig8l5b/UcG0QOHOn25HV8+tg4mfxBtZC65e7hEMqNmlQyYqwqc2FlGC8e7sWy2rJxkzXSNVQaEYwmCgrCB5NTdU4O+KZFcyAhZDQlguW9ABYyxhoZY1oAHwfwwphjXgBwW/LPNwF4k0+zzgP5xTyQZ+bFHYohLvKM2/tkUkAzczPL7mAU3335eKqEohS97lBq1qtM2uJX+Lm7XEH0uENYl1avDEiXqxsrTSXNWpYzy+lzloHCrlikyzaesMKkhavIWbLuYBTPHezGjWvqUwtOyPS2ek7+TX7BaBxDvgjmVZpGfV3++SukT6BnOJS1BAOQvq/dwVhetcJdriAOdrpx/arsWWUgbXxcAXXLA76Rf9Mrx/rzvh8h5PxQcrCcrEG+E8ArAI4D+F/O+THG2AOMsRuSh/0MQCVjrBXAPQDGjZc738lBTb4b9waTL652iz7rMVaDZsbWLPsjcXz6F3vx+DvtePCl4yWfr98bTk3AkNVaDfCG4wUHontOuwAA6zNsrGusMuG0o/hFAKma5bQNfkDxmxwdyWB5bGa5wqSFLxIvqiHpd+91IRwT8elLG4p6TuT8U2nWYW6FEYfyqFuWx8aNzyxLr3WFzFrucYeylmAAI9/XzjxKO/50WCqRuG5lbc7jGqsKHx834JUev8luomCZkGlIkWJDzvnLnPNFnPP5nPN/TX7tfs75C8k/hznnN3POF3DOL+GctyvxuFOJTi1ALbC8G/xyLSSRlRu1M7IMIxxL4PNP7cORHg8uX2THS4f78r78m02vO5whs5zcKlZgdnlPuxM2owaLqi3jbmu0m9DpCiKeKK4r3huWyzCSNcslZpbHrrqWybOWC/3+iiVEPPVuBzbMr8SSWeOnCZDpa/UcW14TMc7IY+PGZJYrjFpoVQL68lwExDmXMsu27NMc5NfPfJr8XmzuxZq5NsypyD0dot5mgFpgOF3A+LgBbxhmnRo3rq7HgU53qiyDEDI9UGeOQhhjMBUwEzefYFmqWZ5ZmeVYQsSdvz2IXW1OfP/mlfivT6xBuVGDh145UfQ55YUkYzPLcsaqp9Bg+bQLlzRUQMgwH7uxyoRYghd8TpmcWZZr4C3JoLnYmuWhVGZ5fIMfgIKb/F451o8+TxifpXFxM86auTb0e8MTlkWlFpKMySwLAkONVZd3zbIrEEUolsDsCcowgIlXXrcO+vF+nxfX52jsk6lVAuZWGFNBfz4GvRFUl+nwoeRkmFffH8j7voTMRCLnCMY4nCERXT4RJ10JHByMY88g0OebenFP5q4JUpRCFkjkFyxr4Q3HkBB5xsUl040ocnz1mWa8fnwAD3x0OW5cIy0N+PsrF+DBl45jV6sDG4pYqyyvtB6bWa5NBsuFTMTodYfQ6Qri0xsaMt7elDYRY2zNZj684Rh0aiE1cksuwygls1ymV0OnVo36uhwsFzo+7hc7OzCv0oirllQX9XzI+UuuWz7U6UbtBdkD2A5nEBUmberqSLrasvwn0KQmYeQIluUPgRNllv90uBeMAddOUIIhm1dpxOlCapa9YdRY9FhYbUZjlVSKcev6eXnfn5DpgnMObxTo9YvoDYjo9YvoC4hwhTmiCSCS4IgkgOwVgAKqqiLYcjafdB4oWFaQWZf/auIhXwQGjQomrSrrMTaDBpxL2cbp3kjFOcf9LxzF84d68dUPLcanPtCQuu3W9fPw8x2n8e+vnMTz8yuzzkfNRn5zrrWNDpZrLDoIrLCV1+8l65XXNVVkvD191vKViwt6mgBGr7oG0mrhiw6Wo+NKMIDiMsuHu93Yf2YY91+3LGNWnUxvy+rKoFUJONTlxocvyB50droCo5aRpJtl1ee93KRnOPfYOGCkZjlXsMw5xwvNvVjfUjtVIAAAIABJREFUWImasuw9IukaqkzYc9oFznlerzcDvjAumlsOxhi2LK/Bz7afhicUSzXqEnK+8EY4HCERIgBwgEu/ISEC/hiHP8rhS/7ujwGBmJQhDsY5AjEgGOOIpgXCehVQaxYw2yxAr2bQqQCdauR3owYwqhmMGgajGhAjQVwwd+ot0qFgWUFmvTqvaRjxhIh3WobQUGXK+UJsM44sJpnuwfJLR/rw692d+LtNTfjSFfNH3abXqPAPH1yEe/9wGK8c68c1K/LLDsnky8ZjM8tqlYCaMn1B3fmtg36oBIbFNePrlQEpCLUaNGgvssnPG4qlxsYBhY8kHGvIF8k4caU8uU69kPFxv9jZAbNOnXFNMJn+dGoVltWVTbicpMMRxMUN5Rlvq7Xq8Zej4byCUDmznKsMQ69RwaJXw5Fjssv7fV60DwVwx2VNOR8vXWOVCcFoAoO+yIQBNuccA96R4z60fBYef7sd204M4mNrxu7nKozIOabX3Cgy1ThCIk4NS2UQp4YT6Avk9w2nVwEmDYNZKwW5s0xCMugFKvUC6swC6swM5TpWUILL5wP06qlXIUzBsoJMOjU8eUyv+NXuMzg14Mfjf3tRzuPSA5pGFH5J/3xy4Iwbeo2Af/rQkow/WH+1ph4/eacdD79yElcvrYG6gEUYmRaSyAodH9fpCqLOps/6+Iyx5ESM4sbHecOxUZlluXHUHymuhsvhj2Bp3fhGvPLkBzFnnuPjBn1h/OlwLz65bl6qjprMPKvn2PD03i7EE2LGn4FIPIE+TwhzKzN/oJpl1SOaEOEKRFGZY2wmIM1YNuvUE2Zn7ZbcW/xebO6DWmC4poBNk3Jz4mlHYMJg2RuSpspUJ49bPduGaosOrxzrLylYDscS2PLfB3B9PcNmW9GnIdNYn19Ef1BEmZZJv3QMOpX0/ilyDk+EYzjM4QpLv7sj0i9PhMMdEeGOSNlhADCogUXlKlxWL6DeLEC+eCj9zqBigFnLYNZIv2tm2NVFCpYVZNGp0TOcu87N4Y/g0ddOYePCKmxZVpPzWGsyoPHMgCa/lkEfFlZbsl7eV6sEfGXLYnzh1/vx7IEe/M3FczIel0mmhSSyWqseR3vyn7TRNRzMeolZ1lRlwu72cTt38uINxWAzjlxFYIzBrM+/vGesIX8El2cIStQqAVaDJu/M8m92dyIuctyWpVabzAxr5trw5K4OnBzwYXmdddzt3cMhiFxa7JGJfHWnzxPOK1iutxkmzErZzdm3+HHO8WJzLy5bWJUqPcqHXE51xhnA+qbxIyLTyTOWa8qkf48gSKUYf9zfg3AsMWrldyGGfBG4Q3GccDNsLuoMZDpyhUXs6Utgd18cZ7zjC3/1KkCvZvBGOcZullcxwKpjsOoY7EYBC8oZ6k0CFlUImGMRIBRY4jiTULCsIJNOhUAk91rih/9yEqFoAt++fvmEbwLFXCofa0+7E//28nH87vPrYdRO3f/dpwZ8uHSC5r0PLa/Bqjk2/Mfrp3DD6rq834QyLSSR1dsMePX9gbxrE7tcQXxwgg85jVUmPHuwB6FoAoYcNemZeMPxcY2BZp26qJrlbKuuZZUmLVx51CxH4gn8Zs8ZXLm4OhVEkJlpzRypvOJgpztjsCxPkMjW3Jq+xW9F/fj7p+tx515IIquy6HC815vxtuZuD3rcIdzzwUUTniddrVUPjYrl1eQnNxCnZ6A/tHwWfr27E++cGsKW5flntNPJr/udAQpgpoNogiMcB8p0+f//FDmHM8TRFxDR4+c4NBjHqWERHECjVcAtS7SYbxPgj3J4ohy+iPR7OC4FxRV66Ve5nqFcL8CsAQXERZq60dN5aKLRcc1dbvzv/i7ccVljznWrMlvy8mMp4+N+8k47mrs9OO0IZHxzmwo8wRgGvBEsylIHLGOM4Z+uWYxPPLEHT+7qwBc2zc95vCzTQhJZrVWPaFyEMxAdt7hjrEAkDoc/itnluTPLjfbkUgNnAEtrC5tF7A3FUGYY/WNZSONoOnmcVraJK+V5BssvHe6Dwx/FZ2gJyYw3p8KACpMWh7rcGac9ZFtIIquTM8t5zCHuHs5e+5zObtbhnSyZ5XfbpCs8Vyy2T3iedGqVgDkVxrwWk8gLSWrSFkytb6pEmV6NV44NFB0syz+bgyEgFOcwqCnIOR+F4xxvdsXwl9MxeKPAHIuAVXYVVtlVmG8byeb6oxxnvCI6vAmc8YroC3D0B0TE0pLHtSaGjy3QYH2tGjWmqVfXO51RsKwgi05q8BNFPq6cQBQ5vv3CMVSZdbh788K8zldm0IAxFL3Fb9AXxlunhgBImZypGiyfGvQBABbVTPwBYsP8KmxeUo0fvt6Cay+onXDBACAtJFmWJWitS3ba97pDEwbL3cnu/InKMFITMRyFBcucc6lmeUxNsEWf/0jCdHLTU7Z/V4VJiy5X7swZ5xy/2NmBBdVmXFbE2D4yvTDGci4nOeMMwqxTozJLyUOlWQe1wCbc4ucNx+ALx3NOwpDZLTr4wvGMJQ/7z7jQVGWasOQjk8ZKEzrymLUsZ5ary0YeQ6MSsHlpDd44MZC1vnsicmaZg6HTK2JxRXHlHOTcCMY4Xu+M4dWOGPwxYEWlCosrBBx1JPDy6Rj+1B6DWQM0WFXoD4hwhEZqJir1DLMtApZVqlFrEqRfZgEWDQqeBkWUQcGygkw6NTgHgrHEuPrYPx7oxqEuNx65eVXeDVIqgaFMryl6i99zB3qQSBYtFTJL+Gw7NSAFywszbMTL5IGPrcCWR9/GN58/il9+5uKcLx7ZFpLIRoLlMFZOMOShMxlYThSgpwfLhQjHRMQSfFSDHyBllgtdHgKkLyTJEiwbtWieYIzX/jPDONLjwYMfW0Ev0gQAsGaODW+eGMw4Gu2MUxobl+17RSUw1JTpJ3w9So2Ny6MMw542Pi79Z5Nzjv1nhnH10txlU9k0VJmws80xYYnWoDcMq0EzLlD/0PJZeO5gD9477SpqPrwrMJIkOe2hYPlsETnHO91xDAQ5bpivKSijH45znBpO4Jgzge3dcQTjwCq7CjfM12D+/2/vzsMbu+t78b+/R/suWV5kjz3j8XiWzEwymcxkD0nIChQaCvxYwpJAgVt6W/i199ILN9x72x/ld+kDpaWUpSEsobTAJQWSGy5rIBCSZpns28x4Mqv3TbZl7Trne/84OrJsa5dnJFvv1/PMM7YlS2dGlvXR53wWv/74vWGbPm7thWkVz06pOL2gYsCn4NV9Cvq9JmzxKnBb+bu22TBYXkPGAoloMrMsWF5IpPE3Pz2C/Zv9+IMqu6Nr3eInpcT3nxzGvj4/XhiZr3hrViMMTSzCZTVVlEUC9Drjj968E3/5v1/Cvc+Mluw4L7aQxJCfWS7HyMKWyyw7rWZ0++w4PlVdsLyQ0B/nlZllt92SO71djUrKMMKxVMlg4BuPnITXbsabLqpvBBZtHBdu1kczPDc8h1dtX17ecGomhl3dpd/0hnz2sr+PKpmxbMjf4pcfLL8yFUU4lsaBLeVLOQrpb3chkdYwsZBEqMjvDwDZsXGrn2PX7OiA3aLgU//nZVw12I5NAQc2+R3YFHCgP+gq23MRjqagCMBjkTi5oALgFJqzbTii4ZsvJnFsTq99eGI8gw+cbyv6RkWTEkdmNbw4o+LwrIoT8xpUqTfSXdhpwhsGLOj3rf5el0Xg0m4zLu1mCLZe8JFaQ7kFEokMurJn36WU+MxPj2AmmsQ3br+46mUOfqe1pga/Z87M4djkIv7nm87HFxYSTZ9ZHuwqPgmjkHdf3o97nx3F/3f/S7h6R0fRTvdiC0kMAacFNrNSdoUvoGeW3TZzbuxaKVvbXVXPWjbGDhaqWa6lwW86m1kOlmjwS6sSkWSm4La10bk4fvrCOP7wqq1N3RxK59YFvUub/Ixg2Vj8cXo2llv5XEzIZy/akGcYzk4VKtcfABRfTPLkKX2B0MEK6p4LMSZ6nJiOlg6WI4mC4+UcVhP++NpB/OCpYXzj4ZNIqUvFp/1BJx786KtL3v9sLAWf3Yxeewon54uuO6M1kFIl7nsljZ+cSMNhBj5wvhWdTgV3PpfEpx9P4DVbLXjTdktuXFo0LfG7kQx+dTqNiZiEIoCtXgWv3WrBrjYTtvsV2FhjvqHwFXANGcFyNBvYjM7F8V/+7Tk8NDSN91y+Bef3Vl8z7K9ivFe+/3VoGHaLgtdf0I3vHzqD8YXKZwmfa0cnFvHqKhtwTIrAp990AV7/hYfw1/e/hM+97cKC1yu2kMQghMAmv6OixSRnZmPoDZQfZQXowfKPnx8re718C/HCmWVPjaPjpoqsujYE8lZeFwqW//nRU5BS4t1c20t5fA4LBjvdeDpbwnN6JoZP3PsCfnt0Cvt6fWV/Xrq9djzwcukJNCNzcdjMStFJLvmWMsvLf08eOhmG32nBQHv5XohCjFnLJ2eiuHxb8fFxkwtJbB0oPP3jw9dvx4ev3w5Nk5heTGJ4Lo5v//sp/ODp8mPlwtEUAk4LNjuTeD6sb0lzWhiArfT4WAbTCQ2v7bdUXSqmSYlnp1R893AKEzGJK3vMePsuKzzZMohPXunAd4+k8JMTaTw/lcGbd1jx7JSKR0YzSKnAoF/BLYNW7O80sQFzg2OwvIZc2WB5MZnB9544jb++/2WoUuKTb9yLd16yuabb9Dur3wYXT6m4/9lRvG5vNzx2C0I+Ow6PR2q6/7NtNprC9GL5SRiF7Ax58KFrtuEffnUMt+zfhGt2rA64Sy0kMXT77RitILN8JhzLvYCWs7XdhblYWn/Bq3C+a64Mo0DNcjytVt0oNL2YLFqCASDXhDUbTa0a9ZVIq/jO46dx4+6uipooqbVcmK1b/spvXsHf//IoTELgL9+wG+++vB+mMmeIQj47EmkN8ytmiucbmatsxjKwdOZkdWY5jAObAzWvZu/xO2A1KSUnYmiaxGSRzHI+RRHo9NrR6bXjyHgEP3h6BLPRVK4MrJDZaAp+hxl92Vj/1IKG84KsWzZE0xL//FISj47p41o9FoFX9VZWqjIZ0/DQSAYPj2Qwm5Docgr8xcV27F7x/2s3C9y+x4b9nSZ8/YUUPv9UEhYFuKzbjOs3mwuWWNDGxGB5DRmZ5Y/94DmcmY3j0q1t+Mxb9mFzkTFKlQg4rVXXLP/sxXFEkhm8JbuWOOR14MEjUxXPEj6Xcs19FUzCKOSPXz2I+58fwx0/fB4//7OrV5ULjM3Fiy4kMfT4HPjt0FTJ+5FS4sxsfFWNZjED2fFxx6ejOFBpsBzXs8crm6aWzlio8DmrCJYjpcfhBfKC5ZV+9PQI5mJpvPfKrRXfH7WOC/v8uOfJYXz6J4dx0+4u/NUte4o20a5kXG9sPlE8WA5XNmMZ0CdPBJyWXI0+AMwsJnF8Opr7HVgLkyKwOegsOREjHEshrUp0lXhTupLxnJxeTJYMlsOxFDZ5Lehz6U3aJxZUBstZh2dVfPW5JMJJiT8YtODwrIpvv5zC9oAJoSIj1aSUeGxcxa9Pp3EkrEEAOL/DhHfsMmN/pwnmEm+q9nWY8akrTXhpVsXuNhMb8FoQB/WtIeNU9nQkhb/6/T34zgcuqytQBvTAKZLIIKNWXrP2/SfPoDfgwGVb9VOH3T47Yim1prrXs20oGyzvDFWfWQYAu8WET7/pAgyH4/jMz46sunxsPoGeMi/i3X4HJiNJpEv8H08vphBPq2Wb+wxbs6d+q5mIsdTgt6JmOft5pMqV19OLSbRXmFle6TuPn8aukAeXbm2r6j6pNdy0uwvX7erEP737AO58z8GKA2UAufrfUk1+w+E4eisMlgE9AM3PLD95KgwAOLilvp/f/qALJ0ssJsnNWC6TWc5nZMLLrZrXM8sWuC1Au0OwbhlARpP4/pEU/ubxBMwKcMeldtwyaMUHLrDBrABfeTaJzMq1ddAD5e8eTuErzyYxl5R4y3YLPnetA39+wI6LQ+aSgbLBbRW4JGRmoNyimFleQ31tDnz2/9mHg1sC6F+jTWdGM9l8PF3RrNDhcAyPvDKDj1y/PXf6Mf/FqVBtaiMdnViEx2ZGqIoXm5Uu2dqG2y7fgm88fBLnhbzLVmGPLyRKNucAwCa/HVLq/z/FSg5OVzgJw9AXcMCsCByfqryExqhZXjla0JNX3lONqUjhVdeGYpnlE9NRPDs8jzted17TnYmg5tDptePrt19c0/fmr7wuJJ5SMRNNVTwdB9DrlvNXXj95OgyLSeCCGvpE8m1td+KhoSmomixYXmKsuu6s4vdXbtRdkUUqgF7eEY6l4c82+/Z7FZzYAMHyUFhFJCVxUVd1oUdGk3hsLIMfH09jNCpxda8Zt+6ywp6tE26zK3jfXhu+8HQSPxhK4607l85YaFLiWy+l8OCZDG7cYsY7dlm5xY6qxmB5DQkh8JYDtZ/2K8Q4TTlXYbD8b0+OQErgzRctHUf+i1MttcFn09GJCLZ3uesOyj7x+t04Ph3Fx3/4PLp89lz98uhcAnt6Si8GyT8tXCxYPpObsVzZC7jZpOi10BWMpDMsJDJwWEywmpef8DEyy9U0+SXS+pmEUjXLLqsJVpOC2RUNpPc+MwIhgDfs66n4/ogq1eGxQREouphkZK7yGcv5t5m/KOXJk2Hs3eQrO56tnB1dHiQzGk7NRDHQsbpUbDK36rryMoxKMsuRRAaqJvVgOamvNj40oWIxJddlZjOc0PC9Iyk8OqZCEcDfXqMgYC9/YjuRkfjNcAY/O5nGbEKi1y3w4f22gsH2gS4zru3TF37sCZqwp90EVZP42gspPDKawesHLHjz9uqbAIkAlmE0Pb/TWHldfiKGpknc89QZXLEtuCzoW8osN99EjKHJxTUJ4C0mBV9650XY0eXBH3/7Sbw4Op9bSBLyln7RrWTWshEsVzLKytDtc2C0ipF9hVZdA3kjCYtklu9/bhR/ff9LmMnLVBn1m6WmCQgh0OayYjbvRVtKifueGcVlW4NlM/JEtbCYFHR4bEUzy7lg2V/5cy2/DCOZUfHcyDwO1jhfOd+ukP5G+0iRBmmjDKPUm9KVnFYznFbTshrrlYw3sEuZZT3oP7VQX3ZZkxJffiaBZybPTUleWpP48fEUPvZQHIcmVNyw2QxNAg+NlL5/KSXufyWF//SbGL5zOIUOh8CfHbDhk1c6Smal37HLim6XwFefTyKc0PDlZ5N4ZDSDN2+34C07rAyUqWYMlptcLrNcQZPfoydmcGY2jrce7Fv29U5P6dOejTK9mMRsNIXta5Tt9tgt+MbtF8PrsOC933gCT5/W6xaLzVg29GQvLzUR4/RsDJ0eW1WZqu4Kli/kK7TqGtBHxwHFM8t3P3ISd/3uBK797IP42u9OIK1qucCh3Iu4sZjE8MLIAo5PR3HLhcwq09kT8jkwvlD4ubE0Y7m6zHIspSKazOCFEf2N8oE665UBvfFYEcDLRYPlBNpc1qLjGYsJuq3L3tyuZJRG+bPNvv0+/aX6xIJa1f2sNBPXm9y+8HTyrAbM4YSGR0Yz+G+/i+P7R9PYHTTh/7/KgXfttuG8NgW/Hc5Ak6triw0vTKu4ZyiNbX4TPnGZHR+/1IF9Heaywa7NJPBH+2xYTEl8PBugv2OXFW/YVlmTNVExLMNocsbpve88fhpXDrYXDdamF5P49E8Ow2Mz4+Y9y5cCWM0K2t22ptvidzT7ArSjxkkYhYR8dnzzvZfgLV9+BB/41iEAxWcsG5xWM4Iua8kRUadnYxXXK+cfy/h8ouIpJPPx9KqxcQDgtulfK1azfGY2jisHg1CEwCfvfwnfefx0bm51qWkYgN7kl1+z/KNnRmAxCbx2b3fZ4yWqVY/PjqHJwvX8I+E4zNm12JXKnzBx6KT+JrnWzX357BYT+ttdODJeeInKxEISnVVklQ3tbtuqudD5wtGlzPIc9I1vnc76m/zCST1AdZiBf3w6iQ9fBFzQUX8YMBnT8OK0iqE5DUNhFVNx/X5CToE/P2Bbdh/X9FnwlWeTeGlGxd72wvf94xNptNn1kotKmu/ybfGa8LZdVvzryyncvseKa/uaq0+H1idmlptct8+B//b63Xjg8CRu/eqjBbMRRycieOMXH8aR8Qg++9Z9cFhXB9TdPnvRTI5hIZFGMlNf5qIaxti4nWtcR70z5ME/vfsA4mn931IuWAaAfX1+PHV6rujlw+F41cFyj8+BlKphpsC0iUIW4plVkzCA0jXLyYyKiUgCF/e34VvvuwRffc9BpDIavvrQCQDlg+VAXrCsahL/+9lRXLuzE74KthQS1Srk0+v5C035GZmLI+Szl53XnC9/5fWhU2H0B51VlUaUsivkKVqGUcmM5UKCLltVZRjA2jT5hRN6EPun++3Y5FHwD08n8cJ0fRlmI4t790spvDCdwWavgnfssuK/X27Hp65yrArGD3SZ4LYAD54pfL/H51QcntVw0xZL1YGy4cYtFnzpBicDZVozDJbXgT+8aiu+dOtFeHF0AW/68iPLxpH99ugU3vylR5BIa/jef7h8VVbZEKqgJOAPvvgwPvPT1ePXzpajk4vwOSxr9qKW74rBdvztWy/EwS2BipZqHOwP4NjkYsExaqmMhtH5OHpryCwDpUdk5VtIpFfNWAYAp8UEIQrXLI/OJSAl0BdwQgiBG3d34ed/djU+evNO3HJhT9kX8janJfdvfuz4DCYjSbzxwk0VHS9RrS4bCCKWUvHrI6vnm4+E41VNwgCWJkxMLiTx1KnwmpRgGHZ2eXFqNoZYavXzb2IhUVVzn6HdbS35JtrILAfy3rRu9Zkwk5BYSBUvXyjHCJZ7PQo+etCObpeCzz+lZ3lrdWxOhSqBP91vw+df7cSf7rfj5n4LBnymgm94LIrAlZvMeHpSxXxy9b/lxyfScFmAa/rqy3hzox6tJQbL68Rrz+/Gv37gMkQSGbzpSw/jyVOz+Pajp/Debz6BTQEH7v2TK3Fhn7/o93f77CVrlhcSabwyFcXzI/M1Hd/IXByf/dmRXCNcJYYmItixBpMwivn9fT2450NXVFRPeHG//uJqzGfNNzoXh5SVj40zGPOdK52IsVCkDENRBNzWwiuvlxoPl4ILu8WE//jqQXz+7fvLZufaXDYsJDJIqxrufWYULqsJ15/XWdHxEtXqul2d6PTY8J3HT6+6TJ+xXN1zrd2j16Q+cTKMmWgKB/vrL8Ew7Or2QEp9zGU+VZOYiiRryiy3u22YjaagFZgJDOiZZatZgcOy9BLd79U/Pjlfe2AbTmqwKoDTrM8N/ouL7ehyCvz9kwl893ASX3s+ic8eSuATv4vhTx+I4pP/HocsUVsMAK/Ma1AEsDdoqvh3+TW9FqgSeHhkeS/O2KKGpyZUXLfZwmCXmgqD5XXkwJYAfvChK+B3WvG2f3oUn/jRC7h6ezvu+dAVZTMxIZ8d8/F0wewIABzL1g+W2lZVSCKt4gsPDOH6v30Q//jrY3jHVx+tKDiUUuLoxOKaNffV6/xNPlhNCg6dnF11mTFjua+KhiMgL7NcpvwF0P8/FhKZonOw3XYzFgssJTkTNkba1bb8ps2l39/4fAL/54Ux3Lw3VPe4LaJyLCYFb7u4Dw8emcxNvwD0szgTkURVY+MAvaxBEfr2UgBrMgnDsCu7MGll3fLMYhKarG7GsiHotkLVJObihRu3w9EU2pzLpzcYTX4n65iIEU5IBOwid7seq8BfXOJAt1vBz09l8OKMimhaosOpoNej4JV5DdPx0sHy8TkVm9wKbFUEtz1uBTsCCn4znFkWjP/kZBpmBbhxM8snqLkwWF5n+ttd+LcPXYFrd3bgP1w9gK++52DJVc6G7jIlAUawPLGQLBpQ55NS4pcvTeCmv/st/vYXR/HqnZ24890HMB9L49avPpqbP1rMZCSJ+XgaOzrXrrmvHnaLCRf0+vBEiWC52m2MQZcVFpOoaApJLKVC1WTB0XGAPj6uUIPfmdk4LKbqmqHytbn0U8g/eGoEkUSGJRh0zrzt4j5IAN/Lyy7rDbFAb5VlGCZFH4M4MheHz2HBtgIzkWvVF3DCaTXh5bHldcu57X01NvgBKFq3PBtN55YGGRxmgZBL1FW3PJeU8NuWB7Veq8BfXm7HXTc58blrnfgflzvwkYvsuPU8/RiPhotnsjUpcXxewzZ/9aHENb1mTMQkDs/q/55wQsPDIxlc3WuG18asMjUXBsvrUJvLirtuuxgff915MJsqewiNYKpcsAyg5HpXAJiPpfHebz6B93/rEKxmBf/y/kvx5XcdwE17Qvjm+y7BZCSJW+96rGQDi9Hc10xLUg72t+H5kXkk0stfHM6EY7CaFHR5qgtIFUUg5LNjrIJM+9Kq6+KZ5UihMoxwDJv8jqqaofIFspnlbz92Cu1uK67YFqzpdoiq1Rtw4podHfjeoTO5Rr/huerHxhmMAPTAlkBue+laUBSBHV2rm/wmcgtJasssA6WC5WTurE++fq9S16zl2YREm331/40QYtVWu01uAacZOBIufn/jUYl4Btjmqz6UuDhkhtMM/GZY/933s5MZSACv6WdWmZoPg+UWYWypK1YScGxyMbc5rlwpxvefPIMHj0zhjtedh5985FW4crA9d9mBLQF8/faLMRyO4V13PVZ0mYpR/7cj1DzB8sX9AaRViWfPLJ+KcWY2ht6Ao6YX4G6vo6LM8kJcD4QL1SwDxTPLtdR35gtmM8tTkSRef0FPxW++iNbCrZdsxsRCEg8cngSg/zwD1W3vMxiNwmsxMm6lXSEPjkxElpUMGKuuawmWO3KZ5cK/H8OxNALO1bOBt/pMmE1IzCWrD5illJhLyIo25wGAIgS2B0wlM8uvzOmXbfNXX7plNQlc3mPGoXEVkzEND55J45KQCR1O/g6i5sOfyhYR8pZeTDI0GcGV2aziiRLzhgF9m1W724YPXD0AS4Hg6rKBIO56z8U4Ph3Fu7/2eC5ruuz+JiJoc1nLjjY7l4wX2UMrmvx/wyjyAAAgAElEQVTOzMZrrgkOVTCyDyifWfYUySwPz8YqXsFdSCAve8VFJHSuXberEyGvHf/6mF6KMRKOQ4ilN/fVMALQtaxXNuwMeTAbTWEqLxM8sZCEEKW3ZBYTzB5rscUks9EU2lyrb3epya/6YDmSBjISCFRR4rAjoGA8KrFQYGoFoDf3OcxAyFVbJv/aPgsyEvjckwkkVOC1W5lVpubEYLlFOKwm+J2WgmUYibSK4XAc+/r86PDYcKpMZllfUV26JvCq7e34yrsuwuHxBbynQMB8dCKC7U1Sr2zwO63Y0eVeVbd8uo6AtNuvTyEp11E+n93QWLJmeUWwHE1mMBNN1ZVZNrJXm9ucJaepEJ0NZpOCt17ch98OTeHMbAwjc3F0emy5s1zV6A04YLco2HcWfo53Zs+AHc6rW55cSKDdbavpbIzfYYFJEQXLMDKqhvl44czyFq8Cgdqa/MIJ/Xv8BcowitkR0DPGxbLLx+c0DPiUVSUclerzKBjw6QH5+e0mbPGyuZiaE4PlFhLyFh4f98rUIqQEBjvd2Bp0laxZllLi2ORiRYHudbu68MVbL8KLo/PLAmYpJYYmFpuqXtlwsL8NT54KQ82OdJqPpzEfT1c9Ns7Q7bUjldEKzm/OZ/zfFJqzDOhb/FaWYRinrGvNegP6VIL9m/24/Yr+szbCj6iUt13cBwHge0+cwXA4VvObv/dfPYD7/uSqszLNZVfICwDL6pZrnbEM6HXQbS4rZgqUYRgTMgpllu1mgV6PgoeGM5iIVhcwGzOWA1UEy1t9CixK4WA5mZE4E9EwUEMJRr7rNusJgt8bYFaZmheD5Raib/Fb3WxmNPcNdrqxJejEiRKZ5fGFBBaTGQxWGOjetCeEL73zAF4cnce7v/Y45uNpjM0nEElm1nTN9Vq5uD+ASCKTa0A05hjXHCxnu/rL1S0vxMs3+C0mM8vmsp6pcaTdSj/84yvxvqu21nUbRLXa5Hfg2p2d+N6hMzg9E6t6IYnBa7ectTfgbS4rOj02HF4WLCerbvrNp6+8Xp1Zzi0kKRAsA8B791qRUiX++rE4TlQxc3kuW0pRTRmGWREY8Ck4WqDJ7+SCBonamvvyXdljxv+8yoFdbcwqU/NisNxCim3xOza5CEUAW9td6G93YSqSLNhMBiw15lVTQnHj7i58+Z0H8NLoPN7ztcdyiz+aZcZyvoPZzV/GvOWlpR81Bsu+0rXihoVsiYWnwLprAPBkxwNG88b6DYfrOzaiZnHrJZsxFUlidL76Gcvnys6QB4fzZi1PRhI1zVg2tLutBRv8jLNQbQXKMABgwGfCHZc5YDMJfPrxBF6YrixgDickBABflWPZdrSZcGpBQzyzvJTslWygXm9mWQiBbjdDEWpu/AltISGvA9OLKSQzy3+5HptcxJagCzazCVvbXQCAk0Wa/IZqHPl2gxEwjy3gP3//2Zpu41zoDTgQ8trxxEk9oDeWflQ7Y9mwtPK69Pi4hXgaLqupaP2jOxtE57+JOROOw2Ex1dRgRNRMrt3ZkXtjWWtm+Ww7r9uLoclFZFQNaVXD9GKq5jIMQJ/DXjCznJ0gVKgMwxByKfjEpXZ0OhX83ZMJPDpafjZ+OCnhtQmYq5zqszOgQGJp8oXhlTkNnU4Br5XlW7TxMVhuIcaL0eTC8l/QQ5OLGMxmivuDerB8aqZw3fKxyUUEXdaSv8iLMQJmTUq0u2013cbZJoTAwf5ALrN8ejYGn8NStDyinHaXDRaTwGjZzHLhVdcGY/FMfpOfMdKOtca03pmzG/2A2sbGnQs7uzxIZTScnIlhKpJdSFJXZtlWsGZ5Nlq8Zjmf367g45fYsT2g4CvPJfHLU4W3AeZuNyGrKsEwbPObILB63rLR3EfUCviT3kIKrV9OqxpOTkeXguV2PYNabNZyfmBdixt2d+Hbf3gpPvUHe2u+jbPtkq1tGJ1PYGQujtOz8ZrrlQG9kafLW7j8Jd9CvPiqa2ApsxxZkVmup7mPqJncfkU/Pnj1AC7b2pyLcXITMcYX8haS1JFZdtsQT6urNqYamWW/s/wbdKdF4M8P2LG33YTvHknlGpMLmUtoVTX3GRxmgS1eBUdnlzLLswkN4aSsab4y0XrEYLmFFKqfPTUTRUaTGMyuh3Vazej02ArOWpZS6iPf6mzMu3QgiJv3hOq6jbMpv2653jnGgP7/Plpmi5+eWS6+ttyzIrMspcRwNrNMtBH4nVb819edB4e1OQOwwU43TIrAkfFIbtV1Z10NftktfpHl2eXZaAouq6niqR5Wk8ClIRMyGjAdLx4sh5OypmAZ0OctH5/XkM4G46/M6Vnmepv7iNaLun7ShRBtQohfCCGGsn8XnAYvhPipEGJOCHF/PfdH9SlUP2tMwsgPgPvbXQVrlicjSUQSmaasNV5LO0MeeGxmPHp8FsNrkL3t9jnKLiaZj6cryiwbNcsL8QwiyQz62NxHdE7YLXpPx+HxCCbr2N5nMBYyTUeXl8WFo6mikzCKMRrkRouMk0upEtF0dZMw8u0ImJDWlpahvDKnwSyAPi+DZWoN9f6kfwzAA1LK7QAeyH5eyGcAvLvO+6I6eewWuG3mZZllI1je1rEULG8NugqWYQxNLI2Y28hMisBFWwL42YvjSKlaXWUYgJ5ZLreYZCGRLjpjGVhds2w0Htab9SaiyhkTMSYWEjApAsE6+i5ywXJkebA8U2R7XyndLv2lfKxIsFzLjOV8K5eTHJ9XscWrwFJlsyDRelVvsHwLgLuzH98N4I2FriSlfABApNBldG51eW3L6meHJhfR47PDZVsqAehvd2F6MYVIga17ALC9c2NnlgF93rIxwqne7G3IV34xyUI8U7LBz2PTLzNqlusdaUdE1Tsv5MGZ2TiOT0XR6bFBqSNYDGbLMGZW/F4Ix1IFt/eV4rII+GwCY4uF35CHczOWa3vJ99oEQi6Bo2ENqiZxcl7DgJ9ZZWod9f60d0kpx7IfjwPoqvP26Czr9jlWZZZXLhjZmm3yWzkRY2hyEX6npSVGlR3sb8t9XH9mufRiEk2TiCTS8BaZsQwALpue2VmdWWawTHSu7Mxu8nvklZm6ZiwDS8HyyszybA2ZZQDocYmzllkG9OzyUFjFmYiGlAY291FLKRssCyF+KYR4ocCfW/KvJ/VzzMXPM1dACPFBIcQhIcShqampem6Kigj57LlObk2TeGVqMdfcZ+jPzlpe2eR3bDKCHZ2elhhVtq/XD4tJQAigp865r925WvHCwXI0lYEmUTKzbDYpcFhMWEzq2f4zs3F47OaSpRtEtLZ2ZSdizMfT6PLUPgkDAGxmEzx28+rMcrT6zDKgl2KMLmoFy73CST2IridY3hlQEMsAvx3W37CzuY9aSfFUVpaU8oZilwkhJoQQ3VLKMSFEN4DJeg5GSnkngDsB4ODBg3UF3lRYt8+OyUgSGVXD2HwCibS2qgZ5S9vqxST6JIxF/N4F3ef0eBvFYTVh7yYfJuYTsJrre1Ho9htTSApPxDC295Wb5WysvAb07X1s7iM6tzb5HXBZTYim1Lqa+wwdbhum8haTJNIqoikVba7q3wR3u/RgdiEF+FbE8eGEhN2kj4GrlVG3/NBIBl4r0O7Y+EkTIkO9bw3vA3Bb9uPbANxb5+3RWRby2aFqEtOLqYKTMAA9UAx57TiR1+Q3tZjEfDxd1Zrr9e6/vGYX/vsbdtd9O+0uG8yKKFqGsRDXs8WlRscB+irsSK4MI87mPqJzTFFEbt5yZ52ZZUAvxZjJC5bnYsZCkupv25iIUagUI5yQ8NeRVQb04DhgE0hr+srtVjjDSGSoN1j+NIAbhRBDAG7Ifg4hxEEhxF3GlYQQDwH4PoDrhRDDQoib67xfqtHSrOV4LlheWYYB6MtJ8jPLx7KTMFqhuc9w2UAQr9lbfybdWExSNlguk1n22PTMspSSmWWiBjHqltcisxx02TCdt8XPaAKuLbOsB6+ji4WD5VrHxhmEENgR0EOGbWzuoxZTtgyjFCnlDIDrC3z9EID3533+qnruh9aO8Qt+fD6BockIgi5rwZmeW9td+PmLE7nPh7KB9Y46F5K0qh6/vXwZRpn6Y7fdjMVEBlOLSSTSGpv7iBrAqFvurGN7n6HdY8VjJ5Yyy8b2vlpqltvsAjZTkcxyUuK8tvob8na2mfDYuMrmPmo5dQXLtP7kT2Y4VmJ1dX/QhZloSt8sZ7dgaDICr92MjjU49diKQj4Hnh+eK3jZfIWZZbfNjJnFGM7M6kE3t/cRnXvX7OjAvl4f9m7y1X1bQZcN4VgaaVWDxaTkZZarD5aFEOh2KavGx2lSYr6O7X35rugxQ9WAXW3MLFNr4U98iwk4LbCaFYwvJDBUIljeElze5Hd0YhHbu1pjEsbZUGoxiTGdxOcsFyxbEElkMMyxcUQN09/uwr1/clVuqUg92rPJh3A2SM5llmtcdtLtXj0+biEloUrAX2cZBgDYzQI39lug8HWAWgyD5RYjhEC3z47nhucQSWSKNuxtXTE+7tjkYks19621bp8dyYyGcCy96rJfH57E7m5v2TFwnuw0jOEwM8tEG0F7Nig26paNzLK/xpGQ3S4FMwmJRGbpTfncGsxYJmp1DJZbUMhrx5OnwgCAwSINe1uCetby5HQMM4tJzEZTG37N9dmU31iZbyqSxJOnw7h5T6jsbbizDX5nZmNod1vhtLKKimg9MzLL09mJGLPRFHwOC8ym2l6ajbXX43nZ5dz2PgbLRDVjsNyCun12pFX9F2ixANhuMaHHZ8fJmSiOThjNfa0zCWOthYxa8bnlEzF++fIEpARu2lN++aXbboaqSRydiGATJ2EQrXtBl7HyeilYrqVe2dCTHR83Gl3KLOe2961BGQZRq2Kw3IK6sllOj82MrhId3f3tLpycieLYZATA6nnMVLkeI7O8sDxY/tmL49jc5sx12JfitumZ5CPjEfSxBINo3ctlliNLNcuBMr0LpXQ5BRSxfCLGbEJCEYCPwTJRzRgst6Du7Pi4bZ3ukg17/e0unJyOYmhyEW6bGaE1mCvaqoLu7GKSuaUyjEgijUeOzeDmPV0VNU567HqwHE2pbO4j2gA8NjOsJgXTucxyuq7MslkR6HQIjOXNWg4nJHxWwaY8ojowWG5BRklAuRrk/qAT4Vgah06GMVgmsKbSTNnFJON5i0kePDKFlKrhpgrqlYGlzDIALiQh2gCEEGh3W5cyy9FUTTOW83W7lWWZ5bmkxnplojoxWG5BRrNZuekW/dnxcS+NLXAZyRowxscZfvbiONrdVly0OVDR9y8LlrnqmmhDCLptmIkmIaXEbCyFNnedwbJLwURUQtX0WuVwYm1mLBO1MgbLLWhnyIPfu6C7bEbTGB8HtNaa67Ml5Fva4pfMqHjwyBRuOK8LJqWyFzK3fSlY7mVmmWhDCLqtmF5MIpZSkcpoaKs3s+wSyEhgKp4NlpP1r7omanUMlluQ3WLCF2+9aFkwXEhfmxNG5cUgM8t16/E7cotJHnllBovJTEUj4wwem974I4S+PpuI1r92tw0zi6ncjOVaF5IYurMTMcaiGhIZiXiGY+OI6sVgmYrSx8fpp/u5kKR+Ia++mGQulsbPXxyHy2rCFYPBir/fyCyHvHbYzKazdZhEdA4F3dZlwXL9meVssLyoLY2Ns/OlnqgefAZRSVvbXXBZTdjkZ41svYxa8ZG5OH7x0gSu3dVZVdDrsunXZXMf0cbR4bYhpWo4Nauvsa83s+yyCPhsAmNRubSQhGUYRHXhCjAq6W0X9+GSrW2chLEGurNvOH78/BimF1NVlWAAgM1sgtWsoJfNfUQbRjDb0Dc0oc+zr2d0nKHHJTC6qCGc0KdisAyDqD4MlqmkN+zrafQhbBhGZvm7j5+GxSRw7c6Oqm/jj67ZhssG2tb60IioQdrd+mKSoeym1HrLMAC9FOPRsQy39xGtEQbLROdIe3YxSTiWxjU7OuC1V7+p689v3HEWjoyIGiXo0oPlo5MRmBSRWz5Uj263glgGOLmgwWEGbGYGy0T1YM0y0TliLCYBgJv2dDX4aIioGbR79EzyqZkYAk4LlApHSZZiNPm9PKuyBINoDTBYJjqHQj47hABu3M1gmYj0sgshAFWTdW/vM/S49QA5mgbabHyZJ6oXyzCIzqErB9vR43eg08M5yUQEmE0KAk4rZqOpNWnuA/QaZZsJSKps7iNaCwyWic4h1hwT0UpB19oGy0IIdLsUnFzQ4GewTFQ3np8hIiJqIGMiRr0zlvN1Z0sxOAmDqH4MlomIiBrImLW8FmPjDEaTH8swiOrHYJmIiKiBzkZmeatXf3kPOfkyT1Qv1iwTERE1ULuRWXZVP3u9mL3tJnzmagc6GCwT1Y3BMhERUQMFjczyGpZhCCHQ4WQJBtFa4FtOIiKiBuoPugAAvQFng4+EiAphZpmIiKiBLhtow28/+mpsDjJYJmpGzCwTERE1kBCCgTJRE2OwTERERERUBINlIiIiIqIiGCwTERERERXBYJmIiIiIqAgGy0RERE1ICM5JJmoGDJaJiIiakNPphJSy0YdB1PIYLBMRETUhu90Os9kMVVUbfShELY3BMhERURMSQiAQCCCVSjX6UIhaGoNlIiKiJhUMBhksEzUYg2UiIqIm5fP5Gn0IRC2vrmBZCNEmhPiFEGIo+3egwHUuFEL8uxDiRSHEc0KIt9Vzn0RERK3C7XY3+hCIWl69meWPAXhASrkdwAPZz1eKAXiPlHIPgNcA+HshhL/O+yUiItrwXC4XAHAqBlED1Rss3wLg7uzHdwN448orSCmPSimHsh+PApgE0FHn/RIREW14iqLA6/WybpmogeoNlruklGPZj8cBdJW6shDiEgBWAK/Ueb9EREQtgU1+RI1lLncFIcQvAYQKXHRH/idSSimEKHqeSAjRDeCfAdwmpdSKXOeDAD4IAJs3by53aERERBteIBDA8ePHG30YRC2rbLAspbyh2GVCiAkhRLeUciwbDE8WuZ4XwI8B3CGlfLTEfd0J4E4AOHjwIAu0iIio5bndbq6+Jmqgessw7gNwW/bj2wDcu/IKQggrgB8C+JaU8p4674+IiKiluN1uSCnZ5EfUIPUGy58GcKMQYgjADdnPIYQ4KIS4K3udtwK4GsDtQohnsn8urPN+iYiIWoLFYoHT6UQmk2n0oRC1pLJlGKVIKWcAXF/g64cAvD/78bcBfLue+yEiImplgUAAk5OTsFgsjT4UopbDDX5ERERNLhgMIp1ON/owiFoSg2UiIqIm5/F42ORH1CAMlomIiJoc114TNQ6DZSIioiZnt9thNpuhqmqjD4Wo5TBYJiIianJCCPj9fm7yI2oABstERETrANdeEzUGg2UiIqJ1wOfzNfoQiFoSg2UiIqJ1gE1+RI3BYJmIiGgdcLlcAABN0xp8JESthcEyERHROqAoCnw+H5eTEJ1jDJaJiIjWiba2Njb5EZ1jDJaJiIjWiUAgwFnLROeYudEHQERERJVxu91ce03ripQSmUwGUspVfzRNW/Z3s5YYMVgmIiJaJ9xuN0wmE5LJJGw2W9Xfn0qlEIvF4Pf7z8LRUaswAtyVwa7xNVVVl72pczgcsFgsMJlMy/6YzWZYrVZYrVZYLBaYzeam/NlksExERLROWCwWXH755Xj44YcBoOqAOZFIwGw2IxqN5qZrUGszMr/JZBKZTKbsmQspJQD9Z9H4Yzabcx/bbDZ4vV44nU44HA44HA4oyvqu+mWwTEREtI4Eg0FceeWVNQXMUkoMDAxgaGgImUwGZjPDgPVKVVUkEgkIIXJZWkVRcsGuUeqgqmruT342OP96LpcLvb29aG9vh8fjgclkygXFxt+KosBsNsNsNsNkMrVUORCfJUREROtMPQFzZ2cnbDYbnnvuOfj9/pYKeta7TCaDWCwGTdNgNpsRCoWgaRpisRhisRhSqdSyINhsNsNms8HlcsFut+f+2Gw2WCwWWK1WeDweWK3WBv/LmhuDZSIionWo1oDZ4XCgra0NY2NjCIfD8Hg8Z/MwW56qqlhcXMxlaM1mMxwOB0wmU8HrG41uqqoik8kgk8nkyhisVisGBgbQ3d0Nv9+/6jZUVc2NFrRarUXvg6rDYJmIiGidMgLm3/3ud7lT8cUYp+XtdjsURcH+/fvxq1/9Cul0GhaL5RwedXPTNA2Li4twOp11lakkk0nE43GYTCYMDg6ir68PsVgMIyMjGB0dhaZpEEJAUZRVtcJutxterxdutxtutxt2ux1OpxMej6fkmQCTyQSHw1HzMVNhDJaJiIjWsWAwiJ6eHkxOTpYM7lRVXZbRdLlc2LdvHw4dOoRAILBuyzFSqRQsFkvdxy+lRCQSgZQSvb29GB4ehtlsrqgR0miSS6VSuTFpLpcL+/fvR09PT+7NiNfrRSgUwoUXXojZ2dlc0Oz3++F2u3NNceu9IW6jYbBMRES0zvn9foyMjJS8TiaTgdvtXva1vr4+jI2NYXx8HC6XK9cgdjYCZ6O8YC0CWwBIp9NYXFyE2WxGIpGA1+ut+bii0SjS6TS2bNmCnTt3wuVyYfv27Th06BDm5ubg9XpXBbBG/bCRsXc4HOjs7EQwGITP50NbW1vRf6fJZEJHRwc6OjpqOmY6txgsExERrXOVLCtJp9OrAkohBPbt25cLPFOpVK48QNM0eDyeuidmaJqGaDSam72byWTgdDrrur2FhQVYLBbs378fXV1d+PWvf13V7GkpJVKpFBKJBKSU6Orqwu7du+Hz+XLX8Xq9uPrqq/Hyyy/j2LFjcDqdsFgsiMViUFUVZrMZ27ZtQygUYpPcBsdgmYiIaJ2rpFRAVdWCzXx2ux1XXXVV7nNN05BOp/HSSy9heHi4bAOgqqqIxWJQFAWKosBkMkFRFEgpc5nXTZs2YWBgAKlUCo899lhNwbIRdGuahsHBQezYsSMXoB44cAAPP/wwLBZL0RIGY2pEJpMBAPh8PvT396Ozs7PoVBCz2Yzzzz8fHR0deOqpp5BMJtHT04PNmzcjGAyyga5FMFgmIiJa5xwOR64coFiGWQhRUZCqKApsNhu6urpw6tSpstdfXFxEe3s77HY7kslk7g8A7Nq1C5s3b841namqCovFUtGM5/zsr3Fc3d3d2Llz56oAvqurC4ODgzhx4sSy7LAhk8kgEomgr68PmzZtQiAQgN1uL/tvM4RCIdxwww0AwAxyC2KwTEREtM5ZLBbY7fZceUAhQoiqJiUUCjoLkVJi+/bt6OzsLHtdk8mEgYEBHD16tOTtx+NxJJNJeL1e9Pf3o6OjAz6fr2Qmd/fu3ZicnEQsFlv2psCYSnHgwAH09fXVXC/NILl1sd2SiIhoA/B6vUin0wUvk1JC07SqgmWn0wmbzZYrWyh2u4DeYFip3t7eXBa82G0mEglcccUVuO6667Bz5060tbWVLXkwm804ePAgUqkUVFUFAESjUWQyGVx11VXYvHnzup34QY3FYJmIiGgD8Pl8RYNlTdNgsViqatYTQqCzszNXBlFIKpWCz+erKuvq8XjQ1tZW9Haj0Sg6OztrmhTh9/uxd+9eLCwsYGFhATabDddccw3a29urvi0iA4NlIiKiDcDn8xXN1hpj46rNrHZ0dJTMLCcSCXR3d1d1mwAwMDCQq2vOZ4yX27NnT81Z4IGBAXR0dCAYDOJVr3rVqnF5RNVizTIREdEGUKp5L51OV1RTvFIl5RXBYLDq2w2FQjCZTFBVdVl5RSQSQW9vb1VlHSspioLLL788tx2PqF78KSIiItoASgXLmUym7Ai4QtxuN8xmc64GOF8t9coGs9mM/v5+RKPR3Nc0TYOmadi1a1fVt7eSMb6OaC3wJ4mIiGgDsNlsMJlM0DRt1WVCiIpmMa+kKAra29sLlkwkk0n4/f7cKudqbd68GZqm5YLuSCSC/v7+moJ6orOJwTIREdEGIISAx+Mp2uRXzSSMfJ2dnUilUqu+nkwmEQqFarpNQJ/e4fP5kEwmc5nrHTt21Hx7RGcLg2UiIqINwu/3Fw2Wq1nCkS8QCBRttqulXtkghMC2bduQSCSwuLiIwcHButZgE50tDJaJiIg2CJ/Pt2p6haZpEELAZrPVdJterzd3O4Z66pXzhUKh3JrswcHBum6L6GzhNAwiIqINwuVyrcoCZzKZgl+vlMlkQltbG6LRaC47nUwmEQgEqprbXIjVasWWLVtyC1CImhEzy0RERBtEoTKGWidh5Ovq6lrW5FfrfOVCzj//fGaVqakxWCYiItogjCa+/OUk6XQ6V0pRq7a2tmWfCyFWfa1WiqJwDTU1NQbLREREG4SiKHC73aua/OrdYmdsB5RS5mqgfT5fXbdJtF7UFSwLIdqEEL8QQgxl/w4UuM4WIcRTQohnhBAvCiH+qJ77JCIiouK8Xu+qYLnWsXEGi8UCn8+HVCq1ZvXKROtFvZnljwF4QEq5HcAD2c9XGgNwuZTyQgCXAviYEKKnzvslIiKiAgqNj6s3WAb0uuVEIoFUKoWeHr6MU+uoN1i+BcDd2Y/vBvDGlVeQUqaklEZXgG0N7pOIiIiK8Hg8uRpgo3a51hnL+fJnKgcCq04kE21Y9QauXVLKsezH4wC6Cl1JCNEnhHgOwBkAfyOlHC1yvQ8KIQ4JIQ5NTU3VeWhEREStJ38iRiaTgcPhgKLUn6cy6pZZr0ytpmzBkRDilwAK7bO8I/8TKaUUQsgC14OU8gyAC7LlFz8SQtwjpZwocL07AdwJAAcPHix4W0RERFSc0+nMNeNlMpm6F4cY7HY7nE4nXC4XTCbTmtwm0XpQNliWUt5Q7DIhxIQQoltKOSaE6AYwWea2RoUQLwB4FYB7qj5aIiIiKslsNsNut0NV1TWZsZwvFArVPVmDaL2p97zMfQBuy358G4B7V15BCNErhHBkPw4AuArAkTrvl4iIiIrw+XxIp9NQVbXuGcv5zjvvPGzZsmXNbo9oPag3WP40gL1N6uoAAAacSURBVBuFEEMAbsh+DiHEQSHEXdnrnAfgMSHEswB+A+CzUsrn67xfIiIiKsKYiCGEWJPmPoPFYmEJBrWcuoYkSilnAFxf4OuHALw/+/EvAFxQz/0QERFR5TweT24SxlqMjSNqZRzjRkREtMHkT8RgsExUHwbLREREG4zL5YKqqrBYLNy0R1QnBstEREQbjNVqhdVqXdNJGEStisEyERHRBiOEgMfjYbBMtAZ4boaIiGgD8vv9DJaJ1gCDZSIiog1ocHCQY96I1gCDZSIiog3I5XI1+hCINgTWLBMRERERFcFgmYiIiIioCAbLRERERERFMFgmIiIiIiqCwTIRERERUREMlomIiIiIimCwTERERERUBINlIiIiIqIiGCwTERERERXBYJmIiIiIqAghpWz0MRQkhJgCcKrGb28HML2Gh0Nrj49R8+Nj1Pz4GDU/PkbNj49R8zsXj9EWKWVHoQuaNliuhxDikJTyYKOPg4rjY9T8+Bg1Pz5GzY+PUfPjY9T8Gv0YsQyDiIiIiKgIBstEREREREVs1GD5zkYfAJXFx6j58TFqfnyMmh8fo+bHx6j5NfQx2pA1y0REREREa2GjZpaJiIiIiOq24YJlIcRrhBBHhBDHhBAfa/TxECCE6BNC/FoI8ZIQ4kUhxEeyX28TQvxCCDGU/TvQ6GNtZUIIkxDiaSHE/dnPtwohHss+l74nhLA2+hhbmRDCL4S4RwhxWAjxshDicj6HmosQ4s+yv+NeEEJ8Rwhh5/Oo8YQQXxdCTAohXsj7WsHnjtD9Q/bxek4IcVHjjrw1FHl8PpP9XfecEOKHQgh/3mUfzz4+R4QQN5+LY9xQwbIQwgTgiwBeC2A3gHcIIXY39qgIQAbAf5JS7gZwGYD/mH1cPgbgASnldgAPZD+nxvkIgJfzPv8bAH8npRwEEAbwhw05KjJ8HsBPpZS7AOyD/ljxOdQkhBCbAHwYwEEp5V4AJgBvB59HzeCbAF6z4mvFnjuvBbA9++eDAL58jo6xlX0Tqx+fXwDYK6W8AMBRAB8HgGzs8HYAe7Lf86Vs7Hd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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "id": "PdzJKru5RyVk",
        "outputId": "17a92aff-473a-4e01-d8bc-6544f219cbef"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "             data  quarters  Q1  Q2  Q3  Q4  t_index         Y\n",
              "date                                                          \n",
              "1960-01-01   0.71         1   1   0   0   0        1  0.276438\n",
              "1960-04-01   0.63         2   0   1   0   0        2  0.086977\n",
              "1960-07-02   0.85         3   0   0   1   0        3  0.274592\n",
              "1960-10-01   0.44         4   0   0   0   1        4 -0.156905\n",
              "1961-01-01   0.61         1   1   0   0   0        5 -0.042540\n",
              "...           ...       ...  ..  ..  ..  ..      ...       ...\n",
              "1979-10-01   9.99         4   0   0   0   1       80 -0.210611\n",
              "1980-01-01  16.20         1   1   0   0   0       81  0.060496\n",
              "1980-04-01  14.67         2   0   1   0   0       82 -0.108626\n",
              "1980-07-02  16.02         3   0   0   1   0       83 -0.132494\n",
              "1980-10-01  11.61         4   0   0   0   1       84 -0.227500\n",
              "\n",
              "[84 rows x 8 columns]"
            ],
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              "      <th></th>\n",
              "      <th>data</th>\n",
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              "      <th>Q1</th>\n",
              "      <th>Q2</th>\n",
              "      <th>Q3</th>\n",
              "      <th>Q4</th>\n",
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              "      <th>date</th>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1960-01-01</th>\n",
              "      <td>0.71</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
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              "      <td>0.276438</td>\n",
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              "    <tr>\n",
              "      <th>1960-04-01</th>\n",
              "      <td>0.63</td>\n",
              "      <td>2</td>\n",
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              "    <tr>\n",
              "      <th>1960-07-02</th>\n",
              "      <td>0.85</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
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              "      <td>0.274592</td>\n",
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              "      <th>1960-10-01</th>\n",
              "      <td>0.44</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "      <td>-0.156905</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1961-01-01</th>\n",
              "      <td>0.61</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>5</td>\n",
              "      <td>-0.042540</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "    <tr>\n",
              "      <th>1979-10-01</th>\n",
              "      <td>9.99</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>80</td>\n",
              "      <td>-0.210611</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-01-01</th>\n",
              "      <td>16.20</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>81</td>\n",
              "      <td>0.060496</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-04-01</th>\n",
              "      <td>14.67</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>82</td>\n",
              "      <td>-0.108626</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-07-02</th>\n",
              "      <td>16.02</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>83</td>\n",
              "      <td>-0.132494</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1980-10-01</th>\n",
              "      <td>11.61</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>84</td>\n",
              "      <td>-0.227500</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
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              "<p>84 rows × 8 columns</p>\n",
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              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
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              "      fill: #174EA6;\n",
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              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
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              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
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              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-ea90f0db-91ff-45e9-b4ee-4d41255d3a60 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-ea90f0db-91ff-45e9-b4ee-4d41255d3a60');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 113
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "$$x_t = \\beta_1 t + \\alpha_1 Q(1) + \\alpha_2 Q(2) + \\alpha_3 Q(3) + \\alpha_4 Q(4)+ Y_t$$"
      ],
      "metadata": {
        "id": "q1ALzX05XGyC"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# add deterministic components\n",
        "index = pd.to_datetime(['1981-01-01', '1981-04-01', '1981-07-01', '1981-10-01'])\n",
        "pred = pd.DataFrame([1,2,3,4], columns=[\"predicted\"], index=index)\n",
        "pred[\"quarters\"] = pred.index.quarter\n",
        "pred[\"Q1\"] = pred[\"quarters\"].apply(lambda x : 1 if (x == 1) else 0)\n",
        "pred[\"Q2\"] = pred[\"quarters\"].apply(lambda x : 1 if (x == 2) else 0)\n",
        "pred[\"Q3\"] = pred[\"quarters\"].apply(lambda x : 1 if (x == 3) else 0)\n",
        "pred[\"Q4\"] = pred[\"quarters\"].apply(lambda x : 1 if (x == 4) else 0)\n",
        "pred[\"t_index\"] = np.arange(85, 89)\n",
        "pred"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 175
        },
        "id": "xyYCQ-A3SkAc",
        "outputId": "0f1e01df-1df9-4c23-cd04-365bf28183c1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            predicted  quarters  Q1  Q2  Q3  Q4  t_index\n",
              "1981-01-01          1         1   1   0   0   0       85\n",
              "1981-04-01          2         2   0   1   0   0       86\n",
              "1981-07-01          3         3   0   0   1   0       87\n",
              "1981-10-01          4         4   0   0   0   1       88"
            ],
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              "\n",
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              "      <th></th>\n",
              "      <th>predicted</th>\n",
              "      <th>quarters</th>\n",
              "      <th>Q1</th>\n",
              "      <th>Q2</th>\n",
              "      <th>Q3</th>\n",
              "      <th>Q4</th>\n",
              "      <th>t_index</th>\n",
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              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1981-01-01</th>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>85</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1981-04-01</th>\n",
              "      <td>2</td>\n",
              "      <td>2</td>\n",
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              "      <td>3</td>\n",
              "      <td>3</td>\n",
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              "      <td>0</td>\n",
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              "    <tr>\n",
              "      <th>1981-10-01</th>\n",
              "      <td>4</td>\n",
              "      <td>4</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>88</td>\n",
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              "          const element = document.querySelector('#df-2dd65ca2-6d83-47c3-92be-63c08a166a17');\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
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              "  "
            ]
          },
          "metadata": {},
          "execution_count": 114
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# 1 year prediction for deteministic part\n",
        "x_pred = pred[[\"t_index\", \"Q1\", \"Q2\", \"Q3\", \"Q4\"]].to_numpy()\n",
        "deterministic_pred = reg_1.predict(x_pred)\n",
        "deterministic_pred"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PjSV7xLPWoMu",
        "outputId": "7ec0f972-6127-43b5-b210-8e09ff5c2aca"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([2.89168696, 2.96160273, 3.07350407, 2.84653943])"
            ]
          },
          "metadata": {},
          "execution_count": 115
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# 1 year prediction for Y\n",
        "y_predicted = result_ar_4.predict(85,88)\n",
        "y_predicted"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xS7PtuH7SUsi",
        "outputId": "10183e48-dd6f-4cb6-e2c9-75fd21950ab1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-0.07722048, -0.08739122, -0.15861282, -0.05234638])"
            ]
          },
          "metadata": {},
          "execution_count": 116
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "pred[\"Y\"] = y_predicted\n",
        "pred[\"predicted\"] = np.exp(deterministic_pred + y_predicted)\n",
        "pred"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 175
        },
        "id": "HwFgkOMjYyeM",
        "outputId": "7749aa36-1109-4a3c-b763-54b4ad46ad2c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            predicted  quarters  Q1  Q2  Q3  Q4  t_index         Y\n",
              "1981-01-01  16.684272         1   1   0   0   0       85 -0.077220\n",
              "1981-04-01  17.711453         2   0   1   0   0       86 -0.087391\n",
              "1981-07-01  18.446806         3   0   0   1   0       87 -0.158613\n",
              "1981-10-01  16.349430         4   0   0   0   1       88 -0.052346"
            ],
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              "      <th></th>\n",
              "      <th>predicted</th>\n",
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              "      <th>1981-01-01</th>\n",
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              "      <th>1981-04-01</th>\n",
              "      <td>17.711453</td>\n",
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              "      <td>18.446806</td>\n",
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              "\n",
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              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
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              "          const element = document.querySelector('#df-0f3572ba-2432-4deb-9c1e-6371db5fb5ae');\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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              "  "
            ]
          },
          "metadata": {},
          "execution_count": 117
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data = pd.concat([jj_data, pd.DataFrame(pred)], ignore_index=False)\n",
        "jj_data"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 424
        },
        "id": "B2mdxMjnaHFl",
        "outputId": "2ce654b6-c2fa-4f5c-91d4-7857970af7e5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "             data  quarters  Q1  Q2  Q3  Q4  t_index         Y  predicted\n",
              "1960-01-01   0.71         1   1   0   0   0        1  0.276438        NaN\n",
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    {
      "cell_type": "code",
      "source": [
        "# set initial true value\n",
        "jj_data.at['1980-10-01', 'predicted'] = jj_data.loc['1980-10-01'][\"data\"]\n",
        "jj_data"
      ],
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          "height": 424
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        "id": "5YCnrGr7dKji",
        "outputId": "37a7a632-8ef1-4485-c9c2-a6a28561b82e"
      },
      "execution_count": null,
      "outputs": [
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              "             data  quarters  Q1  Q2  Q3  Q4  t_index         Y  predicted\n",
              "1960-01-01   0.71         1   1   0   0   0        1  0.276438        NaN\n",
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              "...           ...       ...  ..  ..  ..  ..      ...       ...        ...\n",
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              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-1cfb6761-ff9c-4166-a8e3-41e11cb19479 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-1cfb6761-ff9c-4166-a8e3-41e11cb19479');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 119
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jj_data[[\"data\",\"predicted\"]].plot(figsize=(15,10),fontsize=15)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 578
        },
        "id": "zoYK3hyubnCE",
        "outputId": "bd269522-1015-46fe-ebae-5dd7f86551f5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f2ca172a750>"
            ]
          },
          "metadata": {},
          "execution_count": 120
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# wrong approach\n",
        "complex_model = AutoReg(jj_data['data'].dropna(), 3, trend='ct', seasonal=False, old_names=False)\n",
        "complex_results = complex_model.fit()\n",
        "print(complex_results.summary())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZOfXpjb8c1Ed",
        "outputId": "bb39ad4e-d298-4e87-df2f-21c866b742c4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "                            AutoReg Model Results                             \n",
            "==============================================================================\n",
            "Dep. Variable:                   data   No. Observations:                   84\n",
            "Model:                     AutoReg(3)   Log Likelihood                -122.613\n",
            "Method:               Conditional MLE   S.D. of innovations              1.099\n",
            "Date:                Wed, 25 May 2022   AIC                            257.226\n",
            "Time:                        05:52:51   BIC                            271.592\n",
            "Sample:                             3   HQIC                           262.990\n",
            "                                   84                                         \n",
            "==============================================================================\n",
            "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
            "------------------------------------------------------------------------------\n",
            "const         -0.5173      0.339     -1.528      0.127      -1.181       0.146\n",
            "trend          0.0380      0.015      2.520      0.012       0.008       0.068\n",
            "data.L1        0.1896      0.117      1.617      0.106      -0.040       0.419\n",
            "data.L2        0.4815      0.108      4.453      0.000       0.270       0.693\n",
            "data.L3        0.1468      0.121      1.209      0.227      -0.091       0.385\n",
            "                                    Roots                                    \n",
            "=============================================================================\n",
            "                  Real          Imaginary           Modulus         Frequency\n",
            "-----------------------------------------------------------------------------\n",
            "AR.1            1.1075           -0.0000j            1.1075           -0.0000\n",
            "AR.2           -2.1937           -1.1568j            2.4800           -0.4228\n",
            "AR.3           -2.1937           +1.1568j            2.4800            0.4228\n",
            "-----------------------------------------------------------------------------\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tsa/base/tsa_model.py:595: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  ' ignored when e.g. forecasting.', ValueWarning)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# residuals not like wite nose!\n",
        "fig = plt.figure(figsize=(16, 9))\n",
        "fig = complex_results.plot_diagnostics(fig=fig, lags=30)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 567
        },
        "id": "ButQjRwqjQ4x",
        "outputId": "b5c97374-c754-4577-a0bd-3f9f3915c287"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x648 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Моделирование (скользящее среднее)\n",
        "\n"
      ],
      "metadata": {
        "id": "g7FgKjknlWVz"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# minimum daily temperatures over 10 years (1981-1990) in the city Melbourne, Australia.\n",
        "temp_data = pd.read_csv('https://raw.githubusercontent.com/jbrownlee/Datasets/master/daily-min-temperatures.csv',\n",
        "                        index_col=0, parse_dates=True, squeeze=True,\n",
        "                        )\n",
        "temp_data = pd.DataFrame(temp_data)\n",
        "temp_data.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "10K4FnD4jt7w",
        "outputId": "c62d15ae-7259-436d-d855-c74104c1b9ee"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            Temp\n",
              "Date            \n",
              "1981-01-01  20.7\n",
              "1981-01-02  17.9\n",
              "1981-01-03  18.8\n",
              "1981-01-04  14.6\n",
              "1981-01-05  15.8"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-b8781d64-1c83-4ad0-87ff-3fe6ceeed262\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <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>Temp</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1981-01-01</th>\n",
              "      <td>20.7</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1981-01-02</th>\n",
              "      <td>17.9</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1981-01-03</th>\n",
              "      <td>18.8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1981-01-04</th>\n",
              "      <td>14.6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1981-01-05</th>\n",
              "      <td>15.8</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-b8781d64-1c83-4ad0-87ff-3fe6ceeed262')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-b8781d64-1c83-4ad0-87ff-3fe6ceeed262 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-b8781d64-1c83-4ad0-87ff-3fe6ceeed262');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 123
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "temp_data.plot(figsize=(15,10),fontsize=15)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 592
        },
        "id": "6IsTt6aPlhXz",
        "outputId": "f7921f9b-1e38-4ef7-98f2-aa5950fde3b8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f2ca14a28d0>"
            ]
          },
          "metadata": {},
          "execution_count": 124
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x720 with 1 Axes>"
            ],
            "image/png": "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