{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Homework 2"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/Users/ghio/miniforge3/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
            "  from .autonotebook import tqdm as notebook_tqdm\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "from math import comb\n",
        "import random\n",
        "import matplotlib.pyplot as plt\n",
        "from numba import njit\n",
        "import time\n",
        "from tqdm.auto import tqdm"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NQcyc-p2_n1u"
      },
      "source": [
        "## Exercise 1"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GwgTJ5NB_oFs"
      },
      "source": [
        "#### Question 2"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (a) Implémentez les deux approches **A** et **B**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "id": "7ihfwsY9_j2q"
      },
      "outputs": [],
      "source": [
        "def is_valid_pair(x1: float, x2: float, sigma: float) -> bool:\n",
        "    return abs(x1 - x2) >= 2 * sigma\n",
        "\n",
        "def generate_configuration_A(N: int, L: float, sigma: float):\n",
        "    if L <= 2 * sigma * N:\n",
        "        raise ValueError(\"La condition L > 2σN n'est pas satisfaite. Veuillez choisir un L plus grand.\")\n",
        "    positions = []\n",
        "    for i in range(N):\n",
        "        while True:\n",
        "            new_position = random.uniform(sigma, L - sigma)\n",
        "            valid = True\n",
        "            for pos in positions:\n",
        "                if not is_valid_pair(new_position, pos, sigma):\n",
        "                    valid = False\n",
        "                    break\n",
        "            if valid:\n",
        "                positions.append(new_position)\n",
        "                break\n",
        "    return positions\n",
        "\n",
        "\n",
        "def generate_configuration_B(N: int, L: float, sigma: float):\n",
        "    if L <= 2 * sigma * N:\n",
        "        raise ValueError(\"La condition L > 2σN n'est pas satisfaite. Veuillez choisir un L plus grand.\")\n",
        "    while True:\n",
        "        positions = []\n",
        "        valid = True\n",
        "        for i in range(N):\n",
        "            new_position = random.uniform(sigma, L - sigma)\n",
        "            for pos in positions:\n",
        "                if not is_valid_pair(new_position, pos, sigma):\n",
        "                    valid = False\n",
        "                    break\n",
        "            if not valid:\n",
        "                break\n",
        "            positions.append(new_position)\n",
        "        if valid:\n",
        "            return positions\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (b) Comparez les histogrammes obtenus pour $N=2$, $L=1$ et $\\sigma=0.1$ avec $n_{\\rm s} = 10^7$.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "xTgu0-DX_pUY",
        "outputId": "9cc95ca3-0ac5-4922-d2ab-b5b0f62733f2"
      },
      "outputs": [],
      "source": [
        "n_s = 10**7\n",
        "N = 2\n",
        "L = 1.0\n",
        "sigma = 0.1\n",
        "\n",
        "# Génération des configurations avec l'Approche A\n",
        "valid_positions_A = np.empty((n_s, N))\n",
        "for i in range(n_s):\n",
        "    valid_positions_A[i,:] = generate_configuration_A(N, L, sigma)\n",
        "\n",
        "# Génération des configurations avec l'Approche B\n",
        "valid_positions_B = np.empty((n_s, N))\n",
        "for i in range(n_s):\n",
        "    valid_positions_B[i,:] = generate_configuration_B(N, L, sigma)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x600 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(12, 6))\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.hist2d(valid_positions_A[:, 0], valid_positions_A[:, 1], bins=100, cmap='viridis', density=True)\n",
        "plt.xlabel('x1')\n",
        "plt.ylabel('x2')\n",
        "plt.title('Approach A')\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "\n",
        "plt.hist2d(valid_positions_B[:, 0], valid_positions_B[:, 1], bins=100, cmap='viridis', density=True)\n",
        "plt.xlabel('x1')\n",
        "plt.ylabel('x2')\n",
        "plt.title('Approach B')\n",
        "\n",
        "\n",
        "plt.suptitle(\"Histogramme 2D des positions\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (c)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "zNNzv2nO_3_e",
        "outputId": "eaabb423-8c41-48bd-bfab-98c68022289b"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "#question 3c\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.hist(valid_positions_B[:,0], bins=100, density=True, alpha=0.7, label='x1')\n",
        "plt.hist(valid_positions_B[:,1], bins=100, density=True, alpha=0.7, label='x2')\n",
        "plt.xlabel(\"Position\")\n",
        "plt.ylabel(\"Densité de probabilité\")\n",
        "plt.title(\"Distribution individuelle des positions (Approche B)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### Question 5"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "VRx1gIHRAwcS",
        "outputId": "e480df34-c0be-4ebc-adae-e19e8009c254"
      },
      "outputs": [],
      "source": [
        "# Fonction pour l'algorithme C : Tri des {yk}\n",
        "def algorithm_C(N: int, L: float, sigma: float) -> np.ndarray:\n",
        "\n",
        "    yk = np.sort(np.random.uniform(0, L - 2 * N * sigma, N))\n",
        "    xk = yk + (2 * np.arange(1, N + 1) - 1) * sigma\n",
        "    return xk\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "\n",
        "# Paramètres donnés\n",
        "L = 10\n",
        "sigma = 0.1\n",
        "N_values = range(1, 11)\n",
        "n_samples = 1000\n",
        "\n",
        "# Comparaison de l'efficacité des approches A, B et C\n",
        "average_attempts_A = []\n",
        "average_attempts_B = []\n",
        "average_attempts_C = []\n",
        "times_A = []\n",
        "times_B = []\n",
        "times_C = []\n",
        "\n",
        "for N in N_values:\n",
        "    # Mesure de l'efficacité de l'approche A\n",
        "    start_time_A = time.time()\n",
        "    attempts_A = []\n",
        "    for _ in range(n_samples):\n",
        "        attempts = 0\n",
        "        valid_positions = []\n",
        "        while len(valid_positions) < N:\n",
        "            attempts += 1\n",
        "            position = np.random.uniform(sigma, L - sigma)\n",
        "            if all(abs(position - vp) > 2 * sigma for vp in valid_positions):\n",
        "                valid_positions.append(position)\n",
        "        attempts_A.append(attempts)\n",
        "    end_time_A = time.time()\n",
        "    average_attempts_A.append(np.mean(attempts_A))\n",
        "    times_A.append(end_time_A - start_time_A)\n",
        "\n",
        "    # Mesure de l'efficacité de l'approche B\n",
        "    start_time_B = time.time()\n",
        "    attempts_B = []\n",
        "    for _ in range(n_samples):\n",
        "        attempts = 0\n",
        "        while True:\n",
        "            attempts += 1\n",
        "            valid_positions = []\n",
        "            for _ in range(N):\n",
        "                position = np.random.uniform(sigma, L - sigma)\n",
        "                if all(abs(position - vp) > 2 * sigma for vp in valid_positions):\n",
        "                    valid_positions.append(position)\n",
        "                else:\n",
        "                    break\n",
        "            if len(valid_positions) == N:\n",
        "                break\n",
        "        attempts_B.append(attempts)\n",
        "    end_time_B = time.time()\n",
        "    average_attempts_B.append(np.mean(attempts_B))\n",
        "    times_B.append(end_time_B - start_time_B)\n",
        "\n",
        "    # Mesure de l'efficacité de l'approche C\n",
        "    start_time_C = time.time()\n",
        "    attempts_C = []\n",
        "    for _ in range(n_samples):\n",
        "        attempts = 1  # L'algorithme C n'a besoin que d'une tentative car on trie les yk\n",
        "        algorithm_C(N, L, sigma)\n",
        "        attempts_C.append(attempts)\n",
        "    end_time_C = time.time()\n",
        "    average_attempts_C.append(np.mean(attempts_C))\n",
        "    times_C.append(end_time_C - start_time_C)\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1200x1200 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "# Tracé des courbes de comparaison\n",
        "plt.figure(figsize=(12, 12))\n",
        "\n",
        "# Nombre moyen d'essais pour chaque algorithme\n",
        "plt.subplot(2, 1, 1)\n",
        "plt.plot(N_values, average_attempts_A, 'r-o', label=\"Approche A : Nombre moyen d'essais\")\n",
        "plt.plot(N_values, average_attempts_B, 'g-^', label=\"Approche B : Nombre moyen d'essais\")\n",
        "plt.plot(N_values, average_attempts_C, 'b-s', label=\"Approche C : Nombre moyen d'essais\")\n",
        "plt.xlabel('N', fontsize=14)\n",
        "plt.ylabel('Nombre moyen d essais', fontsize=14)\n",
        "plt.title('Comparaison du nombre moyen d essais entre les approches A, B et C', fontsize=16)\n",
        "plt.legend(fontsize=12)\n",
        "plt.grid(True, linestyle='--', alpha=0.6)\n",
        "# plt.yscale('log')\n",
        "\n",
        "# Temps de calcul pour chaque algorithme\n",
        "plt.subplot(2, 1, 2)\n",
        "plt.plot(N_values, times_A, 'r-o', label=\"Approche A : Temps de calcul\")\n",
        "plt.plot(N_values, times_B, 'g-^', label=\"Approche B : Temps de calcul\")\n",
        "plt.plot(N_values, times_C, 'b-s', label=\"Approche C : Temps de calcul\")\n",
        "plt.xlabel('N', fontsize=14)\n",
        "plt.ylabel('Temps de calcul (secondes)', fontsize=14)\n",
        "plt.title('Comparaison du temps de calcul entre les approches A, B et C', fontsize=16)\n",
        "plt.legend(fontsize=12)\n",
        "plt.grid(True, linestyle='--', alpha=0.6)\n",
        "plt.yscale('log')\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Question 7"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (a)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 257
        },
        "id": "TsJa8RJ-_9ns",
        "outputId": "ee1c18cf-db1b-4e00-ea2e-d5c8098a10db"
      },
      "outputs": [],
      "source": [
        "# Paramètres\n",
        "L = 20\n",
        "sigma = 0.75\n",
        "N = 5  # Nombre de pinces\n",
        "\n",
        "# Génération de la configuration\n",
        "positions = []\n",
        "while len(positions) < N:\n",
        "    new_position = random.uniform(sigma, L - sigma)\n",
        "    valid = True\n",
        "    for pos in positions:\n",
        "        if abs(new_position - pos) < 2 * sigma:\n",
        "            valid = False\n",
        "            break\n",
        "    if valid:\n",
        "        positions.append(new_position)\n",
        "\n",
        "positions.sort()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x200 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "# Visualisation de la situation\n",
        "plt.figure(figsize=(10, 2))\n",
        "plt.hlines(1, 0, L, colors='k', linestyles='-', linewidth=2)  # Corde à linge\n",
        "\n",
        "# Ajout des pinces\n",
        "for pos in positions:\n",
        "    plt.gca().add_patch(plt.Rectangle((pos - sigma, 0.9), 2 * sigma, 0.2, color='blue', alpha=0.6))\n",
        "\n",
        "plt.xlim(0, L)\n",
        "plt.ylim(0.8, 1.2)\n",
        "plt.xlabel(\"Position sur la corde à linge\")\n",
        "plt.title(\"Distribution des pinces sur une corde à linge de longueur L\")\n",
        "plt.gca().axes.yaxis.set_visible(False)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Mghc2jPOAQ-7",
        "outputId": "d8fa9655-389e-402a-cc7f-40472a4af765"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def Z_NLsigma(N,L,sigma):\n",
        "    return (L-2*N*sigma)**N if L > 2*N*sigma else 0\n",
        "\n",
        "def pi_analytique(x, N, L, sigma):\n",
        "    \"\"\"\n",
        "    Calcule la valeur de la distribution π_{L,N,σ}(x) analytique pour un x donné et un N donné.\n",
        "    Pour des fins de simplification, la formule est évaluée numériquement.\n",
        "    \"\"\"\n",
        "    ZL = Z_NLsigma(N,L,sigma) # Fonction de partition approximative, pour évaluer l'équation 8.\n",
        "    somme = 0\n",
        "    for k in range(N):\n",
        "        Zk = Z_NLsigma(k,x-sigma,sigma)\n",
        "        Zn_k = Z_NLsigma(N-1-k,L-x-sigma,sigma)\n",
        "        somme += (comb(N - 1, k) * Zk * Zn_k)\n",
        "    return somme / ZL\n",
        "\n",
        "# Paramètres donnés\n",
        "L = 20\n",
        "sigma = 0.75\n",
        "N_values = [1, 5, 10]\n",
        "n_points = 10000  # Nombre de points pour l'évaluation de π_{L,N,σ}(x)\n",
        "x_vals = np.linspace(sigma, L - sigma, n_points)\n",
        "\n",
        "# Histogrammes simulés\n",
        "n_samples = 100000\n",
        "\n",
        "for N in N_values:\n",
        "    y_samples = []\n",
        "    for _ in range(n_samples):\n",
        "        # Algorithme C : Générer N variables y uniformément sur [0, L - 2Nσ] et les trier\n",
        "        yk = np.sort(np.random.uniform(0, L - 2 * N * sigma, N))\n",
        "        # Appliquer la transformation inverse\n",
        "        xk = yk + (2 * np.arange(1, N + 1) - 1) * sigma\n",
        "        y_samples.extend(xk)\n",
        "\n",
        "    # Création de l'histogramme\n",
        "    plt.hist(y_samples, bins=50, density=True, alpha=0.5, label=f'Simulation, N={N}')\n",
        "\n",
        "    # Calcul et tracé de la distribution analytique\n",
        "    pi_vals = [pi_analytique(x, N, L, sigma) for x in x_vals]\n",
        "    plt.plot(x_vals, pi_vals, label=f'Formule analytique, N={N}')\n",
        "\n",
        "    # Configuration du graphique\n",
        "    plt.xlabel('Position x')\n",
        "    plt.ylabel('Densité de probabilité')\n",
        "    plt.title(f'Comparaison de la distribution π_{{L,N,σ}}(x) pour N={N}')\n",
        "    plt.legend()\n",
        "    plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (b)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 65,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 885
        },
        "id": "0QglnAipAnHI",
        "outputId": "f8a50cba-b05f-4cf3-dd1d-3214af605bb0"
      },
      "outputs": [],
      "source": [
        "A_points = []\n",
        "B_points = []\n",
        "C_points = []\n",
        "A_list = []\n",
        "B_list = []\n",
        "C_list = []\n",
        "\n",
        "for N in range(1, 11):\n",
        "    pi_vals = [pi_analytique(x, N, L, sigma) for x in x_vals]\n",
        "    A_N = []\n",
        "    B_N = []\n",
        "    C_N = []\n",
        "    for i in range(1, len(pi_vals) - 1):\n",
        "        if pi_vals[i] < pi_vals[i - 1]-1e-16 and pi_vals[i] < pi_vals[i + 1]-1e-16:\n",
        "            A_N.append(x_vals[i])\n",
        "        if pi_vals[i] > pi_vals[i - 1]+1e-16 and pi_vals[i] > pi_vals[i + 1]+1e-16:\n",
        "            C_N.append(x_vals[i])\n",
        "        if  pi_vals[i]<1/L and  pi_vals[i+1]>=1/L or  pi_vals[i]>1/L and  pi_vals[i+1]<=1/L:\n",
        "            B_N.append(x_vals[i])\n",
        "    A_list.append(A_N)\n",
        "    B_list.append(B_N)\n",
        "    C_list.append(C_N)\n",
        "    A_points.append(len(A_N))\n",
        "    B_points.append(len(B_N))\n",
        "    C_points.append(len(C_N))\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 59,
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/var/folders/w6/zx_nxxqs3gdcq636sf5z6z2m0000gn/T/ipykernel_53067/255048103.py:4: UserWarning: linestyle is redundantly defined by the 'linestyle' keyword argument and the fmt string \"r-\" (-> linestyle='-'). The keyword argument will take precedence.\n",
            "  plt.plot(N_range, A_points, 'r-', marker='o', linestyle='--', label='A : Local minima')\n",
            "/var/folders/w6/zx_nxxqs3gdcq636sf5z6z2m0000gn/T/ipykernel_53067/255048103.py:5: UserWarning: linestyle is redundantly defined by the 'linestyle' keyword argument and the fmt string \"g-\" (-> linestyle='-'). The keyword argument will take precedence.\n",
            "  plt.plot(N_range, B_points, 'g-', marker='s', linestyle='--', label='B : π(x) = 1/L')\n",
            "/var/folders/w6/zx_nxxqs3gdcq636sf5z6z2m0000gn/T/ipykernel_53067/255048103.py:6: UserWarning: linestyle is redundantly defined by the 'linestyle' keyword argument and the fmt string \"b-\" (-> linestyle='-'). The keyword argument will take precedence.\n",
            "  plt.plot(N_range, C_points, 'b-', marker='^', linestyle='--', label='C : Local maxima')\n"
          ]
        },
        {
          "data": {
            "image/png": 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XV1eTlzgrPrf14MGDZj3+vn37kJ+fj/vuuw/33XdfhWo/ePAgfv/9d1y5cgXZ2dmGczudnJxw69YtpKamombNmiXuN3z48FK3V/xajRgxAo6OjiVuj4iIwCuvvFKhGotV5Hm+m6VjtKZnn30Ws2bNwtq1a7Fw4ULD4/3777/YvXs3vL29MXbsWLO2VVhYaJh539RVSJ555hls27YN+/bts0r9xf773/8CAJ566ik4OPzvz6IOHTqgZcuWOH36NNavX284z9+a7r5kX2FhIa5du4bDhw/j66+/hlarxUcffVRq5qqjf/75B3v37kVcXByysrKg1+sBFI1Lr9fj33//Rdu2bQEUPbdA0bwPtWrVwqBBg8qdZ6A8t2/fxvbt23H69GmkpqYa5gS4cOECACA2NrZS27emiv4u+eWXXwAU/QxotVqb1sbfkyW98cYb+PLLL7Fr1y7s27fPMOcJkT1h00+kEBW9ZN/TTz+Nb775BqtWrTJq+leuXAkAGDdunNH6xb+oGzZsaHKboaGh+Oeffyr0S70qVXYMpi67Vnz95rImuKtoLZIkoWHDhkhNTZXl+SxvrHdPAhkXFwchBHJyckr9w+xut27dMuvxL1++DAAVmlk6KSkJw4YNwx9//FHmeunp6aU2xKYmNLx69SoA069VzZo14eXlhbS0NLNrLVaR5xmo/BitqWbNmnjyySfx1VdfYfny5Xj99dcBAF988QWEEBg3bpzZVy24ffu2YaymnufQ0FAAFWsaynPr1i38/PPPAIreE+/19NNP49VXX8WKFSts0vSXNrFYYmIi+vXrh08++QR6vR6ffvpppR+n+HJjSUlJld7WvbKysvDkk09iy5YtZa6Xnp5u+H+PHj3w1ltvYeHChYiIiIAkSWjcuDG6dOmCRx99FI888gg0GvPnmv7666/xyiuvICsry6zHl1tFf5dY8n5oKf6eLMnT0xPTpk3Dyy+/jLfeegtHjhyx2WMR2Qpn7ydSqW7duiE0NBTnz5837H1NSkrCjh074OLiglGjRslcIQx7iqqLivwRau8qMtbi18nd3R0RERFlftnyCJBnn30Wf/zxBzp16oTdu3fj5s2byM/Phyg6lQ316tUDAMNe8Xu5urrarDZTKpqpyo7R2l566SUAwNKlS6HX65GdnY2VK1dCkiS8+OKLVVJDZXz77bcoKCiAg4MDnn32WXTt2tXoa/Xq1QCKjqw4d+5cldRUr149wyXCli5datGHSfcqPlrmxIkTZV5twhJvv/02tmzZgrCwMPz444+4du0a8vLyDJns1KkTgJKZ/OCDD3Dx4kV88sknePzxx5GVlYWVK1diyJAheOCBB8ps4O92/PhxTJgwAXl5efjwww8RExODzMxM6PV6CCHw1Vdflfr4tlTe7y4l/y5R6tief/55BAcH46+//sLGjRvlLoeowrinn0ilJElCZGQkpk+fjpUrV6Jz58747rvvUFhYiBEjRsDb29to/fr16wMouvSTKcW3Fa9bluLTDTIyMkq9vaCgAImJieYMxWzWHoOtaym+RJCta6mswMBAAEWZWrFihVX+6CveW2Ruo5WVlYUdO3ZAo9Fgx44dJfKblZWFGzduWFRL8fNffOnIe925c8cqjVl5bDlGSzVv3hwPP/ww9uzZg507d+L69eu4c+cO+vfvb9gzb45atWrB2dkZeXl5uHTpElq1alViHVv8bC5fvhyA8ekFZa27cOFCqz12WUJCQgAAOp0OFy5cQPv27Su1vUGDBuHVV1/FnTt38PPPP+Oxxx6zRpkAgA0bNgAA1q9fX+rrVnx4fWmCg4MxefJkTJ48GQDw119/YezYsfjrr7+wYMECzJ49u9zH/+GHHyCEwOTJk/Hmm29W6PEtVd7vr+I989YSFBSEs2fP4ty5c3j44Yetuu178fdk6ZycnPDee+/hySefxLvvvovdu3fb9PGIrE2ZH8cRkVkiIyOh0WiwYcMGwx46oOSh/cD/zsn+5ZdfcPPmzRK3//333zh58iQ0Gg26detW7mP7+vrCyckJKSkppR5yumvXLpPXqC7+g6ui17C29hgqo7iW9evXlziEGwC2bNmC1NRUw7WRrcHS5608/v7+aNWqFTIyMgznnlZWr1694OTkhOPHj+PEiRPlrp+WlgadTgdPT88SzTAAfPfddxbv6evevTuAouamtGuHf/PNNxZtt6JsOcZ7VSQrU6ZMAQB89tln+PzzzwEAkyZNqtDjOTg4oGvXrgBKP+QdAFasWAEAVjuf9tChQ4iJiYGzszNSU1MNe6bv/dqxYweAoqMCrP2zY8rFixcN/3d3d6/09kJDQzF69GgAwGuvvYaUlJQy109KSjL7HPjibTVo0KDEbbt27UJycrLZdXbo0AEvvPACAODkyZOVfvzc3Fxs2rTJ7Mc3V3GDaeq689u3b7fq4/Xr1w9A0c+AuUdq8Pek9Y0ZMwatW7fGhQsX8PXXX9v88YisiU0/kYoFBASgd+/eSE9PxzvvvIPTp08jKCgIvXr1KrFu165d0bFjR+Tk5GDChAnIzs423JacnIwJEyYAKJpwp3jPb1kcHR0NfzBMmzbN6HDIf/75p8ymISAgAABw5swZ8wZqozFUxuOPP46goCBcv34dr776qtEfZnFxcXjttdcAAJMnT4aLi4tVHrP4ebtw4UKpzWtlFB+OPG7cOGzdurXE7UIIHDlyxOy9I3Xq1MHzzz8PoOi5On36dInt/fbbb4Y97HXr1kXNmjVx584dfPvtt0brHj582GjeiooaPnw46tevjytXruDtt982yurp06cNY7c1W47xXhXJyoABA9CoUSP88ssv+OeffxAaGor+/ftX+DGLM7906VLs3bvX6LZVq1bh559/hqOjo+FDhsoq3sv/6KOPlvohSrE+ffrAz88PN2/exLZt24xuCw4OhiRJJj+osERiYiKmT58OAGjatGmJ87hnzZoFSZIMDZG5Pv30UzRq1AhxcXHo2rVrqfNC5OfnY8WKFWjbtq3JhvZexRO03Tv3QGxsLCZOnFjqfbZs2YIDBw6UOAy+oKDA8MFhaU18WY+/evVqoz3vubm5eOGFFwx7gq2pV69e0Gg02LVrF/bv329YLoTAJ598YvUPGp599lkEBATg77//xnPPPVfi1If09HTs2bPHaBl/T1qfJEmYP38+AGDx4sU2fzwiq6qiqwQQkY0UX1aoS5cuIiIiwuTXmjVrSr3/unXrjC4XNWPGDJOPdfHiRcPj1alTRwwfPlw8+uijwtPTUwAQ7dq1EykpKUb3KevSfIcPHzZclq1JkyZi+PDholOnTsLR0VFERESYvGTStm3bBADh5OQkBg0aJJ5++mnxzDPPiD///NOwDkxcSseSMZhz+TJTj1eWo0ePCh8fH8PzM3LkSDFgwADh4uJiuDxQadeqtuSxirVv314AEE2bNhVjxowRzzzzjHjrrbcMtxdfSm7lypWl3r+sy6MtWbJEODg4CACiUaNGYuDAgeKJJ54QvXv3FnXq1BEAjB6rPHl5eWLw4MGGy0N16tRJPPHEE6JPnz6ifv36JbJx96XzOnbsKEaPHi26dOkiJEkSTz75pMk8lXVprmJRUVHCzc3NcCmnUaNGid69ewtHR0cxdOjQCl9e0tLn2dIxVvSSfUKUn5W7FV9SDIBYtGhRqeuYo/jSWJIkia5du4onnnjCcF1wrVYrli9fXuI+llyyLyMjQ7i7uwsAYvv27eWu/+qrrwoAYtCgQUbLi6+d/t1335n92Hdfsu/u9+gxY8aInj17Gn7+a9asKY4ePVri/tOnTxcAxMMPP2z2Yxa7efOm6NGjh+HxGzZsKB599FExevRo0atXL8Nz4unpKY4cOWLWNjdt2iQkSRIARHh4uBg1apTo1auXcHR0FL169RKdO3cukb0pU6YIAKJ27dqid+/eYsyYMWLw4MGG94n69esbXQ6uLKmpqYbc16pVSwwZMkQMGzZM1KlTR3h4eBgeq6KXdCzvfaF4u1qtVvTo0UMMHTpUhIaGCkdHRzF16tQyL9lnye+SEydOCD8/PwFAeHt7i4EDB4qRI0eKzp07C1dX1xLb5O9J612y7153/wyxlSJ7waQS2bniX8zlfU2ZMqXU++fm5hp+oUqSJC5dulTm492+fVu8/fbbolmzZsLFxUW4ubmJtm3big8++EBkZ2eXWL+spl8IIQ4dOiT69OkjPD09haurq2jdurX44osvhF6vL/OPrq+//lq0a9fO0Ijd20CV9cu4omOw1R8zQghx5coV8eKLL4qQkBDh5OQkPDw8RKdOncTSpUuNrhlujccSQojLly+LJ554QtSrV8/QoN/92lSm6RdCiOjoaDF+/HjRuHFjw3MbEhIi+vbtKz755BNx7dq1CtWr1+vF2rVrRZ8+fUStWrWEo6Oj8PPzEw8++KBYuHBhiWsz//jjj6Jz587C29tbuLu7i/bt25ebJ3Oa/uKxDR06VPj4+AhnZ2fRrFkzMX/+fFFQUFBlTb+lY7Sk6S8vK3c7e/asAIqu7Z2amlrqOubauXOnGDBggKhVq5ZwcHAQfn5+4vHHHzfZhFrS9C9fvlwAEH5+fmZd9/zkyZOGBq84wzdv3hSSJAlfX1+ja9CX5+6m/+4vSZKEu7u7aNOmjXjrrbdEYmJiqfcfMGCAACC+//57sx/zXjt37hRPPfWUaNSokXB3dzf8XPXu3VssXrxY3L59u0LbO3DggHjooYdE7dq1hZubm2jZsqV4//33RV5eXqnZ+/vvv8XUqVNF165dRf369YWTk5Pw9fUV9913n5g3b55ITk6u0OPfunVLvPDCCyI0NFQ4OzsLf39/MXbsWHHhwgWL8iFE+e8Ler1eLFq0SDRr1kw4OTkJHx8f8cgjj4jjx4+b/J1R2d8lt27dEtOmTRPh4eGiRo0awtXVVYSEhIiRI0eKX375pcT6/D1pm6b/yJEjbPrJ7khCVOF0pkRERKQ406ZNw/vvv4/x48cbZktXujVr1mDs2LFYsmSJ4SoGtpafnw8fHx+EhYXhr7/+giRJVfK4RERk39j0ExERkcUSExPRvHlzpKen4/Tp04ZzrJUuIiICv//+O86dO2eYNM3W9u3bh169euHXX3+1+SzuRESkHGz6iYiIqMKmTp2Ka9euYc+ePbhx4wYmTpyIpUuXyl0WERER3YNNPxEREVVYcHAwrly5Aj8/P4wcORIffPABnJ2d5S6LiIiI7sGmn4iIiIiIiEihNHIXQERERERERES2waafiIiIiIiISKEc5C7A3un1ely/fh0eHh68dA4RERERERHZnBACGRkZ8Pf3h0ZT9r58Nv2VdP36dQQGBspdBhEREREREalMQkICAgICylyHTX8leXh4ACh6sj09PWWuhqobnU6HM2fOoEWLFtBqtXKXQ2RTzDupCfNOasK8k5rYS97T09MRGBho6EfLwqa/kooP6ff09GTTTyXodDq4u7vD09OzWr9pEFkD805qwryTmjDvpCb2lndzTjHnRH5ERERERERECiUJIYTcRdiz9PR0eHl5IS0tjXv6qQQhBPR6PTQaDSd6JMVj3klNmHdSE+ad1MRe8l6RPpR7+olsLD8/X+4SiKoM805qwryTmjDvpCZKyzubfiIb0uv1iI2NhV6vl7sUIptj3klNmHdSE+ad1ESJeedEflVMp9OhoKBA7jKoiuh0OgghkJubaxcTgcjJ0dGRzxERERERkZWx6a8iQgjcuHEDd+7ckbsUqkJCCGg0Gly+fLlanxNUXXh7e8PPz4/PFRERERGRlbDpryLFDX+dOnXg5ubGpkYlivfyu7i48DUvgxAC2dnZSEpKAgDUq1dP5orIUjxag9SEeSc1Yd5JTZSWd87eX0nmzJqo0+lw/vx51KlTB7Vq1ariConsx+3bt5GUlIQmTZoo7s2WiIiIiMhaOHt/NVN8Dr+bm5vMlVBVE0IYzuun8hX/jHDeC/skhEB6ejrzTqrAvJOaMO+kJkrMO5v+KsTDu9UpLy9P7hLsBn9G7Jter8elS5cUNdstkSnMO6kJ805qosS8s+knIiIiIiIiUig2/UREREREREQKxaafyApWrVoFSZIQHx9f4jZrHrIeFRUFSZIQFRVV4fvGx8dDkiSsWrXKavUQ3cvFxUXuEoiqDPNOasK8k5ooLe9s+slqvvjiC0iShI4dO9rsMXr06IGWLVvabPvWJkkSXF1dea46qYJWq0VYWBivvECqwLyTmjDvpCZKzLuD3AWQcqxZswbBwcE4evQo/v33XzRq1EjukmRXPHu/Vqu1SuPfrVs35OTkwMnJqcL3bdCgAXJycuDo6FjpOohKo9frkZqaipo1a0Kj4WfKpGzMO6kJ805qosS8K2MUaqXTAVFRwPffF/2r08lWSlxcHA4ePIiPP/4Yvr6+WLNmjWy1VDf5+flW25ZGo4GLi4tFb0CSJMHFxUVRn1pS9SKEQEJCgqIucUNkCvNOasK8k5ooMe9s+u3V5s1AcDDQsyfwxBNF/wYHFy2XwZo1a1CzZk0MHDgQw4cPr1DTn5aWhnPnziEtLc1q9XzxxRdo0aIFnJ2d4e/vjxdffBF37twpsd6RI0cwYMAA1KxZEzVq1ECrVq2wZMkSw+2nTp1CZGQkQkJC4OLiAj8/Pzz99NO4ffu2RXVFRkbC3d0dV65cwaBBg+Du7o769evj888/BwBER0ejV69eqFGjBho0aIC1a9ca3b+0c/qLT3mIiYlBz5494ebmhvr162PBggVG9y3tnP7K1pOSkoLXX38d4eHhcHd3h6enJ/r3749//vnHoueHiIiIiIisi02/Pdq8GRg+HLh61Xj5tWtFy2Vo/NesWYOhQ4fCyckJo0ePxoULF/DXX3+Zdd8tW7agWbNm2LJli1VqmTVrFl588UX4+/tj0aJFGDZsGL766iv06dMHBQUFhvV+/fVXdOvWDTExMZgyZQoWLVqEnj17Ytu2bUbrXLp0CePGjcOnn36KUaNGYd26dRgwYIDFn/7pdDr0798fgYGBWLBgAYKDgzFp0iSsWrUK/fr1Q/v27fHhhx/Cw8MDTz31FOLi4srdZmpqKvr164fWrVtj0aJFCAsLw1tvvYWdO3fatJ5Lly7hxx9/xKBBg/Dxxx/jjTfeQHR0NLp3747r169b9PwQEREREZEVCaqUtLQ0AUCkpaWZXCcnJ0fExMSInJyckjdmZpr+unf9zEwh0tKEqF9fCKD0L0kSIjCwaD1T283ONt5uVlalnoNjx44JAOLXX38VQgih1+tFQECAmDJliln3X7lypQAgVq5cWe663bt3Fy1atDB5e1JSknBychJ9+vQROp3OsPyzzz4TAMSKFSuEEEIUFhaKhg0bigYNGojU1FSjbej1esP/s+99roQQ33//vQAgDhw4UGIMcXFxJbaVk5Nj2GZERIQAIObNm2dYJzU1Vbi6ugpJksS6desMy8+dOycAiJkzZxqW7du3TwAQ+/btM3pOAIhvvvnGsCwvL0/4+fmJYcOGGZbFxcWVeJ4rW09ubq7R81z8OM7OzmLOnDklnrvylPmzQtVeYWGh+Pfff0VhYaHcpRDZHPNOasK8k5rYS97N6UOLcU+/3NzdTX8NG2a8bp06gJdX0R59U4QAEhKAwEDT2+3Wzfg+zZtXaghr1qxB3bp10bNnTwBF546PHDkS69atg86MeQYiIyMhhEBkZGSl6gCAPXv2ID8/Hy+//LLRee/PPfccPD09sX37dgDA33//jbi4OLz88svw9vY22sbdE+65uroa/p+bm4vk5GQ88MADAIATJ06UW0/xefT3TuL37LPPGv7v7e2Npk2bokaNGhgxYoRhedOmTeHt7Y1Lly6V+zju7u4YO3as4XsnJyfcf//9Zt23MvU4OzsbnmedTofbt2/D3d0dTZs2Nev5IWXRarUIDQ3lvBGkCsw7qQnzTmqixLxz9n6lqqKJJ3Q6HdatW4eePXsaHfbdsWNHLFq0CHv37kWfPn2qpBYAuHz5MoCiBvVuTk5OCAkJMdx+8eJFACj38n8pKSmYPXs21q1bh6SkJKPbzJmDQAiBwsJCODg4GBp/FxcX+Pr6Gq3n5eWFgICAEh8OeHl5ITU1tdzHKe2+NWvWxKlTp8q9b2Xq0ev1WLJkCb744gvExcUZfchTq1atch+blEWv1yMpKQl16tRRzGy3RKYw76QmzDsp3ZW0K0jOTgZQlPeUlBT4+PgY8l7brTaCvILkLLFS2PTLLTPT9G33frqUlAQcOAAMGFD+dtevL7lHv9i9b9YxMeVvz4TffvsNiYmJWLduHdatW1fi9jVr1lRp029tI0aMwMGDB/HGG2+gTZs2cHd3h16vR79+/aDX683aRkFBARwc/vejZupTQ1PLhRkf4NjivuZsc968eZg+fTqefvppvPfee4Y3x5dfftns54eUQwiBGzdulPgQiUiJmHdSE+adlOxK2hU0/awpcgtzTa7j4uCC2Emxdtv4s+mXW40aFVu3Tx8gIKDoEP/SGjpJKrq9T5+SHxqY4uZmfg33WLNmDerUqWOY7f1umzdvxpYtW/Dll18aHSZvSw0aNAAAxMbGIiQkxLA8Pz8fcXFxePjhhwEAoaGhAIDTp08blt0rNTUVe/fuxezZszFjxgzD8gsXLtiqfLuzceNG9OzZE8uXLzdafufOHdSuXVumqoiIiIiIzJOcnVxmww8AuYW5SM5Ottumn8fn2ButFii+pNw9h14bvl+82PyGvxJycnKwefNmDBo0CMOHDy/xNWnSJGRkZODnn38uczvWvGTfww8/DCcnJ3zyySdGe6SXL1+OtLQ0DBw4EADQrl07NGzYEIsXLy5xKb/i+xXv6b53b/nixYsrXadSaLXaEs/PDz/8gGtlzTtBRERERERVhnv67dHQocDGjcCUKcaX7QsIKGr4hw6tkjJ+/vlnZGRkYPDgwaXe/sADD8DX1xdr1qzByJEjTW5ny5YtGDduHFauXGnWZH63bt3C3LlzSyxv2LAhxowZg7fffhuzZ89Gv379MHjwYMTGxuKLL75Ahw4dDJPdaTQaLF26FI888gjatGmDcePGoV69ejh37hzOnDmDXbt2wdPTE926dcOCBQtQUFCA+vXrY/fu3WZdQu9uSpoE5F6DBg3CnDlzMG7cOHTu3BnR0dFYs2aN0VEWpB6SJMHHx6fEXBBESsS8k5ow70T2jU2/vRo6FHj0UeD334HERKBePeDBB6tkD3+xNWvWwMXFBb179y71do1Gg4EDB2LNmjW4ffu21SZ2S0pKwvTp00ssf+ihhzBmzBjMmjULvr6++Oyzz/DKK6/Ax8cH48ePx7x58+Do6GhYv2/fvti3bx9mz56NRYsWQa/XIzQ0FM8995xhnbVr12Ly5Mn4/PPPIYRAnz59sHPnTvj7+5tVqyRJcHZ2rvygq6l33nkHWVlZWLt2LdavX4927dph+/btmDp1qtylkQw0Gg2CguzzsDeiimLeSU2YdyL7JglzZvoik9LT0+Hl5YW0tDR4enqWuk5ubi7i4uLQsGFDuLi4VHGFJCchBPLz8+Hk5MRPx83AnxX7ptfrcfXqVQQEBHB2Z1I85p3UhHknJTuReAL3Lbuv3PWOjz+OdvXaVUFF5jGnDy3Gn1oiG7v7MnZESiaEQEpKillXjSCyd8w7qQnzTmTf2PQTERERERERKRSbfiIiIiIiIlKl2m61oZHKbotdHFxQ281+L0fNifyIbOzuyQOJlEySJPj5+XH+ClIF5p3UhHknJavlWgsd/Dvg2PVj2DRiE+p71EdKSgp8fHwMc1jUdquNIC/7ncySTT+RDUmSxKafVEOj0cDPz0/uMoiqBPNOasK8k5LVcKqBQ88cwrnkc2jm26xoYX15a7I2Ht5PZENCCOTm5nLiG1IFnU6HixcvcvJKUgXmndSEeSelkyTJ0PArMe9s+olsTK/Xy10CUZXJyMiQuwSiKsO8k5ow76Q0Or0OH/7xIW5n3y5xm9LyzqafiIiIiIiIVOW7U99h6t6p6PB1B+j0ytmrXxo2/URERERERKQaeYV5mBE1AwDwfPvnodVoZa7Ittj0E9mYk5OT3CUQVQlJkhAYGMjZnUkVmHdSE+adlObLY1/iStoV+Hv4Y9L9k4xuU2LeOXs/kQ1JkgQHB/6YkTpoNBrUqlVL7jKIqgTzTmrCvJOSZORlYO7vcwEAs7rPgqujq9HtSsw79/QT2ZAQAjk5OZy9n1RBp9Ph3LlziprtlsgU5p3UhHknJfn40MdIzk5Gk1pNMK7tuBK3KzHvbPpJ0QYMGIDnnnuuwvf78ssvERQUhLy8vErXwIaf1CQ3N1fuEoiqDPNOasK8kxLcyrqFjw59BACY23MuHDSlH5GrtLyz6adKWbVqFSRJMvqqU6cOevbsiZ07d8pa259//ondu3fjrbfeqvB9IyMjkZ+fj6+++soGlZUtMTERU6dORc+ePeHh4QFJkhAVFVXmfT799FN4eXmhoKAAUVFRkCQJGzdurJqCiYiIiIjsxJjwMehYvyOGNR8mdylVhicb26EraVeQnJ1s8vbabrUR5BVUhRUBc+bMQcOGDSGEwM2bN7Fq1SoMGDAAW7duxaBBg6q0lmILFy7EQw89hEaNGlX4vi4uLoiIiMDHH3+MyZMnV+lEHrGxsfjwww/RuHFjhIeH49ChQ+XeZ/v27ejTpw8cHR2roEIiIiIiIvvjW8MXXw76EoX6Qmgk9ez/ZtNvZ66kXUHTz5oit9D0IScuDi6InRRbpY1///790b59e8P3zzzzDOrWrYvvv/9elqY/KSkJ27dvx5dffmnxNkaMGIEFCxZg37596NWrl8XbcXZ2rtD69913H27fvg0fHx9s3LgRjz/+eJnrZ2dnY//+/Vi6dKnFNRJZg0ajQUhICDQa9fwSJfVi3klNmHdSGlOH9QPKzLtyRqISydnJZTb8AJBbmFvmkQBVwdvbG66urmbNXJ+WloZz584hLS2tzPV69OhR4lSCe7+Kbd++HYWFhXj44YcNy4QQ6NmzJ3x9fZGUlGRYnp+fj/DwcISGhiIrK8uw/L777oOPjw9++umnigzdiCRJ0Gq1FTpSwMPDAz4+Pmavv3fvXuTl5aF///6WlEhkNZIkwdPTU1GXuCEyhXknNWHeyd6dSTqDR9c9iuib0eWuq8S8s+mXWVZ+lsmve5v7rPws5BTkmLXdnIIck9u9dxvZBdmVHkdaWhqSk5Nx69YtnDlzBs8//zwyMzMxduzYcu+7ZcsWNGvWDFu2bClzvXfffRcPPvggnJ2d8e233xq+wsLCEBAQgG+//daw7sGDB1GrVi00aNDAsEySJKxYsQK5ubmYOHGiYfnMmTNx5swZrFy5EjVq1DB6zHbt2uHPP/8sdwzZ2dlITk4u8XXr1i1cuXIFt27dQnJyMlJTU8vdVkXt2LED9913H+rWrWv1bRNVhE6nQ3R0tKJmuyUyhXknNWHeyd5N2zcNP8f+jFn7Z5W7rhLzzsP7ZeY+393kbQMaD8D2J7Ybvq/zUR2zG/RB3w/Cndw7pd7W3r89/nruL8P3zT9vjviX483aril371EHig5pX7FiBXr37l2p7d6td+/eWLNmDU6cOGH0YcJ///tfaLVao2Xnzp1DcHBwiW00bNgQixYtwoQJE7BmzRo0atQICxcuxJQpU9CtW7cS64eEhBh9mGDKggULMHv27HLXa9CgAeLj48tdryJ27NiBceNKXm6ESA5K+gVJVB7mndSEeSd7dfjqYfx47kdoJA3m9pxr1n2Ulnc2/WQVn3/+OZo0aQIAuHnzJr777js8++yz8PDwwNChQ8u8b2RkJCIjI61az+3bt1G/fv1Sbxs/fjw2b96MyZMno3bt2ggNDcW8efNKXbdmzZrIyclBdnY23NzcTD7eU089ha5du5ZYLoRAXl4enJ2dIUkSXF1dLRuQCadPn8aVK1cwcOBAq26XiIiIiMjeCSEwdc9UAEBk60g0820mc0XyYNMvs8y3M03eptVojb5Pej0JJ2+cRNeVJZvLe20bvQ1t/NqUetu9M1XGvBhTfqHluP/++40m8hs9ejTatm2LSZMmYdCgQXBycqr0Y1SUEMLkbcuXL0doaCguXLiAgwcPmmzGi7dR3jk9ISEhCAkJKfX+OTk5cHV1tcl5Qdu3b0fdunWNnnsiIiIiIgJ2X9yN/Zf3w1nrjJk9ZspdjmzY9MushlON8le6a11XR/P2FLs6upq9bTdH03uwLaXRaNCzZ08sWbIEFy5cQIsWLaz+GGWpVatWmefPR0VFIS8vDwAQHR2NTp06lbpeamoq3Nzcyt1Dn5mZiczMkh/gCCEghEBaWpphUj9fX98KjKRsO3bsQL9+/RQ10QjZL41Gg6ZNmypqtlsiU5h3UhPmneyRXujx9t63AQAvdnjR7CubKTHvbPrJZgoLCwGg1GbY1sLCwrBp06ZSb0tMTMTkyZPRp08fODk54fXXX0ffvn2NJv0rFhcXh2bNyj8M6KOPPqryc/rv3LmDgwcPYtKkSVbZHpE1yHFUD5FcmHdSE+ad7M2Ws1vw942/4eHkgbcffLtC91Va3tn025nabrXh4uBS5mX7XBxcUNutdhVWVVJBQQF2794NJyencpvmtLQ0JCYmol69evDy8qrwYzk6OpaYbKNTp07473//i0uXLpU47P65556DXq/H8uXLodVq0aJFCzzzzDP49ddfS+wxP3HiBMaMGVNuDXKc0797924AQJ8+fay2TaLK0Ov1iI6ORnh4OLRabfl3ILJjzDupCfNO9mhgk4H4uM/H0EiaCvVGSsw7m347E+QVhNhJsUjOTja5Tm232mYfvmItO3fuxLlz5wAASUlJWLt2LS5cuICpU6fC09OzzPtu2bIF48aNw8qVKy2a0K9u3bqIiorCp59+ihEjRqBu3boYOHAgHBwcsGfPHowfP96w7sqVK7F9+3asWrUKAQEBAIBPP/0UY8eOxdKlS/HCCy8Y1j1+/DhSUlLw6KOPlluDtc/pnzu3aGbRM2fOAAC+/fZb/PHHHwCAadOmASg6n79r164mPyjZtGmT4TW5W0REBAIDA82uhYiIiIjI3rg4uOCVTq/IXUa1wKbfDgV5BVV5U1+eGTNmGP7v4uKCsLAwLF26FBMmTLD5Y48fPx579+7FSy+9hLZt26Ju3bqoW7cuBgwYgA0bNhia/qtXr+KVV17BI488goiICMP9x4wZg02bNuHNN99E//790bBhQwDADz/8gKCgIPTq1cvmY7jX9OnTjb5fsWKF4f/Tpk2DEAK//PILXn/9dZPbWLduXanLe/TowaafiIiIiBQpX5cPjaSBg4atbjFJlDXFOZUrPT0dXl5eSEtLM7lHOzc3F3FxcWjYsCFcXFyquEL1+v3339GjRw+cO3cOjRs3rtB98/LyEBwcjKlTp2LKlCkW12Cr2fuPHj2Kjh074syZM2jevLnVtis3/qzYN51Op7jD4YhMYd5JTZh3sicL/lyAVSdX4T99/4O+jfpW+P72kndz+tBiypmSkOgeDz74IPr06YMFCxZU+L4rV66Eo6MjJk6cWOk6rHke/93mzZunqIaf7J9Go0F4eLiiZrslMoV5JzVh3slepOakYv4f83E2+SySspIs2oYS8849/ZXEPf1UluJL9kmSxMvqmYE/K/ZNCIHc3Fy4uLgw76R4zDupCfNO9uLtPW/jgz8/QMs6LXFywkloNRXfU28veeeefqJqJDfX9JUWiJREr9cjNjYWer1e7lKIbI55JzVh3skeXM+4jiVHlgAA5vWaZ1HDDygz72z6iYiIiIiIyK69t/895BTmoHNgZwxqMkjucqoVNv1ERERERERkty7cvoCvT3wNAPjgoQ+q9WH5cmDTT0REVlOdZ7klsjbmndSEeafqbG30WuiEDgMaD8CDDR6s9PaUlndevJDIhiRJgpubm9xlEFUJrVaL8PBwucsgqhLMO6kJ807V3YzuM9ChfgcEeQVVeltKzDv39BPZkBACOp0OvEgGqYEQAunp6cw7qQLzTmrCvFN1J0kSBjQegJZ1WlZ6W0rMO5t+IhvLy8uTuwSiKqHX63Hp0iVFzXZLZArzTmrCvFN1df72eaTkpFh1m0rMO5t+IiIiIiIisitCCET+GImQJSHY9e8uucup1qpl05+ZmYmZM2eiX79+8PHxgSRJWLVqVYn1JEky+dW7d+9yHyc4OLjU+06cONEGoyIiIiIiIiJr2Hp+Kw5dPYQCfQFa1W0ldznVWrWcyC85ORlz5sxBUFAQWrdujaioqFLX+/bbb0ssO3bsGJYsWYI+ffqY9Vht2rTBa6+9ZrSsSZMmFa6Z1C0qKgo9e/bEvn370KNHD6PbqvMlQ+Lj49GwYUOsXLkSkZGRcpdDCuDi4iJ3CURVhnknNWHeqTrR6XV4Z+87AICXO76Meh71rLp9peW9Wjb99erVQ2JiIvz8/HDs2DF06NCh1PXGjh1bYllUVBQkScLo0aPNeqz69euXuh2qmIsXL2LBggX49ddfcf36dTg5OSE8PBwjRozA+PHj4erqapXHiYyMxMaNG5GZmWmV7dmaJElWGztRdafVahEWFiZ3GURVgnknNWHeqbpZE70GZ26dQU2XmnijyxtW3bYS814tm35nZ2f4+flV+H55eXnYtGkTunfvjoCAALPvl5+fj4KCAtSoUaPCj0nA9u3b8fjjj8PZ2RlPPfUUWrZsifz8fPzxxx944403cObMGSxbtkzuMmVRPHu/Vqutlnv8GzRogJycHDg6OspdCimAXq9HamoqatasCY2mWp49RmQ1zDupCfNO1UleYR5m7JsBAHi769vwdvG26vaVmPdq2fRbaseOHbhz5w7GjBlj9n1+++03uLm5QafToUGDBnjllVcwZcoUk+vn5eUZzcaenp4OANDpdNDpdACK9u5qNBro9XqjS7YVX/ahtMs/SJJUoeUVUdFtV2R5XFwcRo0ahQYNGmDv3r2oV+9/h9a8+OKLuHDhArZv3250P2uMCbDO82it5XfXdO/t+fn5Zh0iJFftLi4updYtR/aA/31QYurn6e5taDQaw3rlLddoNJAkqdTlAErM0GpquVarhRCi1OX31mhquVLHJITAlStX4OHhAa1Wq4gxKfF14pisM6bS8m7vY1Li68QxWWdMer0eCQkJJfJuz2NS4uukljEt/WspLqddhr+HP56/73mj26wxJp1Oh4SEBHh5eZlVuzXGVNZyU2OqyN/pimr616xZA2dnZwwfPtys9Vu1aoWuXbuiadOmuH37NlatWoWXX34Z169fx4cffljqfebPn4/Zs2eXWH7mzBm4u7sDAHx8fBAUFISrV68iJSUFQghoNBoUFhYCKPrg4O5gOTk5wcHBAbm5uUYvnrOzM7RaLXJycowey8XFBZIkIScnB7/9psHrrzvho4/yMXCgM4QQyM3NNVrfzc0Ner3e6MOK4sPOdTod8vPzDcs1Gg1cXFxQWFiIgoICw3KtVgtnZ2fk5+cbBe7DDz9EZmYmvvjiC3h7extqLR5TQEAAxo8fb1he2piys7ORlJQEX1/fEkdbuLq6Go2p+DkEUOaY1q1bh0WLFuHcuXOoUaMG+vXrh7lz56JOnTpGY4qLi8O0adOwf/9+ZGZmIjAwEEOHDsUHH3yAvLw8xMfH4+OPP0ZUVBQSEhLg5uaG7t274/3330eDBg0MYyqWl5dnGFtxo19YWGio//3338e8efNw9uxZzJo1Czt37oSTkxOeeeYZzJ8/H5cvX8akSZNw4MABuLq64pVXXsHUqVMNr1N+fj4+/PBD7Nq1CxcvXkRhYSHatGmDadOmoXv37obXadq0aZg/fz62bt2Knj17wtHREY6Ojnj22Wfx7bff4sCBA2jVqhWuX7+Oxo0b46uvvjKc5jJ+/Hj8+OOPiImJwYQJE/D777/D09MTb7zxBqZMmYLTp09j8uTJOHbsGGrVqoXZs2cjMjLS8DqlpKRg4cKF2LNnDy5fvgyNRoMHHngAc+bMQatWrcrMXvHrev78ecOREff+PBXz8/ODn58f4uPjkZGRYVgeGBiIWrVq4cKFC0Y/CyEhIfD09ERMTIxRhps2bQonJydER0cbZS88PBz5+fmIjY01ykx4eDgyMjJw6dIlw3IXFxeEhYUhNTUVCQkJhuUeHh4IDQ1FUlISbty4YViu1DHVr18fWVlZOHPmjOH1s/cxKfF14pisM6bmzZtDp9MZ5d3ex6TE14ljss6Yiv9+unz5MrKyshQxJiW+TmoZ06m4U9BKWszqPgtX469afUzF7+mZmZmIj4+vkjEBFX+d7t7ZWh5JWGOXqw0Vn9Nf3kRj6enpqFu3Lvr374/Nmzdb9FhCCPTv3x979+5FXFxcqacIlLanPzAwECkpKfD09ARQ8lOd3NxcXL58GQ0bNjQ0sfeybI8o0LEjcOyYhPbtBY4cAUo7gtyWe4oDAwPh7OyMf//91+LtREVFoVevXpgxYwZmzZpV2lANxo0bZzin39S2V65ciaeffhodOnTA6NGjcfPmTXzyySeoW7cuTpw4AW9vbwDAqVOn0K1bNzg6OuK5555DcHAwLl68iF9++QWnTp2CEAIbN27E+++/j8GDByMgIACXL1/G0qVL4enpiTNnzsDNzQ0AsH//fvTs2RO//fZbiYn8cnJyDB/UzJo1C3PmzEGbNm3QrFkzdO3aFTt27MD27dvx8ccf46uvvkLPnj0RHh6OtWvX4s8//8T+/fvx4IMPAiia5LJ169YYNWoUmjRpgvT0dKxYsQKXLl3CkSNH0KZNG0iShPz8fDzwwANISUnBqVOn4OHhgd27d6Nfv36YM2cOpk2bBqBoIr+QkBCsWLHC8PM1btw4rF+/HiEhIXjwwQcNtRw8eBArVqzAtGnT8MQTTyAoKAhfffUVzp07h/Pnz6Nhw4YAin5mR48ejeHDhyMkJAQ3btzAsmXLkJmZiTNnzsDf399kNvLy8nDp0iU0aNDA8KGJ2j/NtqcxCSFw6tQptGjRgnv6OSbFj0kIgejoaKO82/uYlPg6cUzW29N/5swZNG/enHv6OaZqMaYLKRcQ6hMKzT0Xo7PWnv6YmBi0bNnS8AFAVYypoq9TZmYmvL29kZaWZuhDTRLV3F9//SUAiJUrV5a53ooVKwQAsXHjxko93i+//CIAiG+//das9dPS0gQAkZaWZnKdnJwcERMTI3Jyckrclplp+uve1e+9/ccfhShq/Yu+fvnFvO1mZxtvNyvLrKGaHPujjz5q2Qb+3759+wQAMXPmzHLXjYiIEDVq1DB5e35+vqhTp45o2bKl0fO9bds2AUDMmDHDsKxbt27Cw8NDXL582Wgber3e8P/se58sIcShQ4cEAPHNN9+UGMO+fftKbCsnJ8ewzZkzZwoAYvz48YZ1CgsLRUBAgJAkSXzwwQeG5ampqcLV1VVEREQYrZuXl2f0GKmpqaJu3bri6aefNloeHR0tnJycxLPPPitSU1NF/fr1Rfv27UVBQYFhnbi4uBI/XxEREQKAmDdvXolaJEkS69atMyw/d+5cidcuNzdX6HQ6o1ri4uKEs7OzmDNnzr1Pp5Gyflao+issLBT//vuvKCwslLsUIptj3klNmHdSE3vJuzl9aDFlzEyAokP7vby8MGjQoEptJzAwEACMDsGwJXd301/DhhmvW6eO8e1DhhjfPn16UfsPAMHBprfbrZvx/Zo3t6z24vkMPDw8LNvA/+vRoweEEOXu5TfHsWPHkJSUhBdeeMHoPPqBAwciLCwM27dvBwDcunULBw4cwNNPP42goCCjbdz9id7dM+8XFBTg9u3baNSoEby9vXHixIly65EkybCX/27PPvus4f9arRbt27eHEALPPPOMYbm3tzeaNm1qdKiUVquFk5MTgKJPJFNSUlBYWIj27duXqKdly5aYPXs2/vvf/6Jv375ITk7G6tWr4eBg3lk9d9dYXEuNGjUwYsQIw/KmTZvC29vbqEZnZ2fDp6Y6nQ63b9+Gu7s7mjZtatZzRvZLq9UiNDTUaC8QkVIx76QmzDtVB6tOrsKZpDM2fxwl5l0RTX9iYiL27duHYcOGGZ1fbYni5sXX19capVWpv/4Cdu+uuscrPozk7nNR5Hb58mUARc3ovcLCwgy3F7/OLVu2LHN7OTk5mDFjhuE0htq1a8PX1xd37txBWlpaufUIIVBQUFDiEKB7P2jw8vKCi4sLateuXWJ5amqq0bLVq1ejVatWcHFxQa1ateDr64vt27eXWs8bb7yB1q1b4+jRo5g5cyaam/kJj4uLS4mfAS8vLwQEBJT4AOPeGvV6Pf7zn/+gcePGRs/ZqVOnzHrOyH7p9XrcuHGjxKFzRErEvJOaMO8ktytpVzBh2wS0+rIVTiedtuljKTHvipjIb926ddDr9SZn7S8oKMDFixfh5eVlmPAgJSUFXl5eRp/gFBQU4IMPPoCTkxN69uxZJbWXdbn5ez9cSkoq+lcIoHt34J9/gLtP7dBqi/b29+kD3DXnRAmaez7qiYmpUMkGnp6e8Pf3x+nTtv3Bk9PkyZOxcuVKvPzyy+jUqRO8vLwgSRJGjRpl9htBQUFBib3rpX1yaOrTxLs/MPjuu+8QGRmJIUOG4I033kCdOnWg1Woxf/58XLx4scR9L126hAsXLgBAiYlLymKqFnNqnDdvHqZPn46nn34a7733Hnx8fKDRaPDyyy8r6s2TShJC4MaNG3b5oSlRRTHvpCbMO8ltVtQs5Ovy0TO4J1r4trDpYykx79W26f/ss89w584dXL9+HQCwdetWXL16FUBRI+bl5WVYd82aNfD39y8xgVqxa9euoVmzZoiIiMCqVasAAD///DPmzp2L4cOHo2HDhkhJScHatWtx+vRpzJs3D35+fjYdX7F7Jqs3a91du4DSjpLW6f63t79vX/O3+/9z0Vlk0KBBWLZsGQ4dOoROnTpZviErKZ5RPzY2Fr169TK6LTY21nB7SEgIAJT7gcXGjRsRERGBRYsWGZbl5ubizp07VqzafBs3bkRISAg2b95stMd95syZJdbV6/WIjIyEp6cnXn75ZcybNw/Dhw/H0KFDbV5jz549sXz5cqPld+7cKXEkAxERERFRWWJuxWD1P6sBAPMfml/iqFMqX7U9vP+jjz7C9OnTsXTpUgDA5s2bMX36dEyfPt3oUOLY2FgcP34co0aNMpxHbI7w8HA0b94c3333HV566SXMmzcP3t7e2LBhA95++22rj8dahCjam29qqBqN8bn9tvbmm2+iRo0aePbZZ3Hz5s0St1+8eBFLliwpcxvZ2dk4d+4ckpOTK11P+/btUadOHXz55ZdGV1nYuXMnzp49i4EDBwIoOn2jW7duWLFiBa5cuWK0jbv3WhfPRnq3Tz/9tMTsmVWleE/73TUdOXIEhw4dKrHuxx9/jIMHD2LZsmV477330LlzZzz//PNWeZ7Lq/He5+yHH37AtWvXbPq4RERERKQ8036bBr3Q47Gwx9AxoKPc5dilarunP76s49Pv0rRpU5OXtCsWHBxcYp377rsPP//8s6XlySY/H7hyBTB1lLReDyQkFK1XyekNzBIaGoq1a9di5MiRaNasGZ566im0bNkS+fn5OHjwIH744YcyL7UIAEePHkXPnj0xc+ZMsybzKygowNy5c0ss9/HxwQsvvIAPP/wQ48aNQ/fu3Q2X7FuyZAmCg4PxyiuvGNb/5JNP0LVrV7Rr1w7jx49Hw4YNER8fj+3bt+PkyZMAio5k+Pbbb+Hl5YXmzZvj0KFD2LNnD2rVqmX2c2TNSUAGDRqEzZs347HHHsPAgQMRFxeHL7/8Es2bN0fmXeeKnD17FtOnT0dkZCQeeeQRAMCqVavQpk0bvPDCC9iwYYPVaiqtxjlz5mDcuHHo3LkzoqOjsWbNGsPRFaRckiTBx8eHn8CTKjDvpCbMO8nlyNUj2HJuCzSSBnN7lfz73xaUmPdq2/RT6Zydiw7hv3XL9Dp16lRNw19s8ODBOHXqFBYuXIiffvoJS5cuhbOzM1q1aoVFixbhueees+rj5efnY/r06SWWh4aG4oUXXkBkZCTc3NzwwQcf4K233kKNGjXw2GOP4cMPP4S3t7dh/datW+Pw4cOGI0pyc3PRoEEDo9nplyxZAq1WizVr1iA3NxddunTBnj170NfM8yckSar05JJ3i4yMxI0bN/DVV19h165dhqNVfvjhB0RFRQEomjE/IiICtWvXxuLFiw33bdy4MebPn48pU6Zgw4YNRuO0pnfeeQdZWVlYu3Yt1q9fj3bt2mH79u2YOnWqTR6Pqg+NRlNikkoipWLeSU2Yd5KDEAJT9xb9/RjROgLNfS285FgFKTHvkihvNzmVKT09HV5eXkhLSzPMZn+v3NxcxMXFoWHDhkaXkSPlE0IgPz8fTk5Oivq00Fb4s2Lf9Ho9rl69ioCAgAqdbkVkj5h3UhPmneSg0+uw+PBifHz4Yxx65hCCvKqmEbeXvJvThxarvqMgUgi5zv8nqmpCCKSkpJR7yhWREjDvpCbMO8lBq9Hitc6vIX5KfJU1/IAy886mn4iIiIiIiKolR62j3CXYPTb9REREREREVC0U6AowZN0Q/HTuJ0XtbZcTm34iG3N05KeTpA6SJMHPz4/zV5AqMO+kJsw7VaWVJ1fip9if8NzW55BVkFXlj6/EvHP2fiIbkiSJTT+phkajgZ+fn9xlEFUJ5p3UhHmnqpJdkI3Z+2cDAKZ1mwZ3J/cqr0GJeeeefiIbEkIgNzeXhyaRKuh0Oly8eJGTV5IqMO+kJsw7VZXPjn6G6xnX0cCrASbcN0GWGpSYdzb9VYiNnzrp9Xq5S7Ab/BmxfxkZGXKXQFRlmHdSE+adbC01JxXz/5gPAJjTcw6cHZxlq0VpeWfTXwWKD+/Ozs6WuRKi6q34Z4SnRBARERGpy8KDC3En9w5a+LbAmPAxcpejKDynvwpotVp4e3sjKSkJAODm5qaoiSHINCEE8vLyIEkSX/MyCCGQnZ2NpKQkeHt7Q6vVyl0SEREREVWRpKwkLD68GAAw76F50Gr4t6A1semvIsWTQRQ3/qQOQgjo9XpoNBo2/Wbw9vZW3MQpaiJJEgIDA5l1UgXmndSEeSdb83XzxYbHN2DL2S14pMkjstaixLxLgifRVkp6ejq8vLyQlpYGT0/PctfX6XQoKCiogsqI7IujoyP38BMRERERmaEifSj39FcxrVbLxkZFdDodLly4gMaNG/N1J8Vj3klNmHdSE+adbCmnIAeujq5yl2GgxLxzIj8iG8vNzZW7BKIqw7yTmjDvpCbMO9nCyRsnEfCfACz8c2G1uoqT0vLOpp+IiIiIiIiq3Dt730FKTgr+vvG3os6hr27Y9BMREREREVGV2h+/Hzv/3QkHjQPm9JwjdzmKxqafyIY0Gg1CQkKg0fBHjZSPeSc1Yd5JTZh3sjYhBN7e+zYA4Ll2z6GRTyOZK/ofJeadE/kR2ZAkSWZd1YFICZh3UhPmndSEeSdr23p+Kw5dPQRXB1dM7zZd7nKMKDHvyvn4gqga0ul0iI6Ohk6nk7sUIptj3klNmHdSE+adrEmn1+Gdve8AAF5+4GXU86gnc0XGlJh3Nv1ENqakNwyi8jDvpCbMO6kJ807WcvjqYZxNPouaLjXxZpc35S6nVErLOw/vJyIiIiIioirRJagLTj9/Gudvn4e3i7fc5agCm34iIiIiIiKqMs18m6GZbzO5y1ANHt5PZEMajQZNmzZV1OyfRKYw76QmzDupCfNO1pCRl4Gzt87KXUa5lJh35YyEqJpycnKSuwSiKsO8k5ow76QmzDtV1n8O/wctl7bErKhZcpdSLqXlnU0/kQ3p9XpER0dDr9fLXQqRzTHvpCbMO6kJ806VdSvrFj46+BH0Qo/mvs3lLqdMSsw7m34iIiIiIiKymfl/zEdGfgba1WuH4c2Hy12O6rDpJyIiIiIiIpu4knYFn//1OQBg/kPzoZHYglY1PuNERERERERkE7OiZiFfl4+ewT3RO6S33OWokiSEEHIXYc/S09Ph5eWFtLQ0eHp6yl0OVTNCCOj1emg0GkiSJHc5RDbFvJOaMO+kJsw7WSrmVgzCl4ZDL/Q4/MxhdAzoKHdJ5bKXvFekD+WefiIby8/Pl7sEoirDvJOaMO+kJsw7WeLC7QvwcvbCY2GP2UXDX0xpeWfTT2RDer0esbGxipr9k8gU5p3UhHknNWHeyVKPhj2KS1Mu4dP+n8pditmUmHcHuQsgIiIiIiIiZfJ28Ya3i7fcZaga9/QTERERERGR1fx55U9sjd0KTh9XPbDpJ7IxrVYrdwlEVYZ5JzVh3klNmHcyl17oMeWXKRi8bjAWH14sdzkWUVreOXt/JXH2fiIiIiIioiIbzmzAyI0j4e7kjksvXYJvDV+5S1Ikzt5PVE0IIZCens5Dm0gVmHdSE+ad1IR5J3MV6Aow7bdpAIDXO71ulw2/EvPOpp/IhvR6PS5duqSo2T+JTGHeSU2Yd1IT5p3MtfLkSlxIuYDabrXxaqdX5S7HIkrMO5t+IiIiIiIiqpTsgmzM3j8bADDtwWnwcPaQuSIqxqafiIiIiIiIKuWzo5/hesZ1BHkFYWL7iXKXQ3dxkLsAIqVzcXGRuwSiKsO8k5ow76QmzDuVp1XdVmjh2wJvdH4Dzg7OcpdTKUrLO2fvryTO3k9ERERERATo9DoAgFajrEveVUecvZ+omtDr9bh9+7aiJgIhMoV5JzVh3klNmHcyl1ajtfuGX4l5Z9NPZENCCCQkJCjqkh9EpjDvpCbMO6kJ805leXfvu1h0cBFyCnLkLsUqlJh3ntNPREREREREFfZvyr9YcHABCvWFuL/+/XiwwYNyl0Sl4J5+IiIiIiIiqrAZ+2agUF+I/o36s+Gvxtj0E9mYhwevUUrqwbyTmjDvpCbMO93r5I2T+P709wCAeQ/Nk7ka61Ja3nl4P5ENabVahIaGyl0GUZVg3klNmHdSE+adSvPO3ncAAKNbjkYbvzbyFmNFSsw79/QT2ZBer8eNGzcUNfsnkSnMO6kJ805qwrzTvQ5cPoCd/+6Eg8YBc3rOkbscq1Ji3tn0E9mQEAI3btxQ1OyfRKYw76QmzDupCfNO95r22zQAwHPtnkMjn0YyV2NdSsw7m34iIiIiIiIy29KBSzGixQhM7zZd7lLIDDynn4iIiIiIiMzWok4LrB++Xu4yyEzc009kQ5IkwcfHB5IkyV0Kkc0x76QmzDupCfNOxXILc+UuweaUmHc2/UQ2pNFoEBQUBI2GP2qkfMw7qQnzTmrCvBMA5BXmoeUXLfHcz88hJSdF7nJsRol5V85IiKohvV6PK1euKGr2TyJTmHdSE+ad1IR5JwD46vhXuJh6ETv+3QEXBxe5y7EZJeadTT+RDQkhkJKSoqjZP4lMYd5JTZh3UhPmnTLyMjD3wFwAwMzuM+Hm6CZzRbajxLyz6SciIiIiIiKT/nP4P7iVfQuNfRpjXJtxcpdDFcSmn4iIiIiIiEp1K+sWPjr4EQBgbq+5cNQ6ylwRVRSbfiIbkiQJfn5+ipr9k8gU5p3UhHknNWHe1W3+H/ORkZ+BdvXaYXjz4XKXY3NKzHu1bPozMzMxc+ZM9OvXz3C5hFWrVpVYLzIyEpIklfgKCwsz+7F+/vlntGvXDi4uLggKCsLMmTNRWFhoxdGQmmk0Gvj5+Slq9k8iU5h3UhPmndSEeVev3MJcfH/6ewDA/IfmQyMpPwNKzLuD3AWUJjk5GXPmzEFQUBBat26NqKgok+s6Ozvjv//9r9EyLy8vsx5n586dGDJkCHr06IFPP/0U0dHRmDt3LpKSkrB06dLKDIEIAKDT6RAfH4/g4GBotVq5yyGyKead1IR5JzVh3tXLxcEFMS/EYP2Z9egd0lvucqqEEvNeLZv+evXqITExEX5+fjh27Bg6dOhgcl0HBweMHTvWosd5/fXX0apVK+zevRsODkVPhaenJ+bNm4cpU6ZU6IgBIlMyMjLkLoGoyjDvpCbMO6kJ865eNV1rYmL7iXKXUaWUlvdqecyCs7Mz/Pz8zF5fp9MhPT29Qo8RExODmJgYjB8/3tDwA8ALL7wAIQQ2btxYoe0REREREREpxfHrxxV12To1q5ZNf0VkZ2fD09MTXl5e8PHxwYsvvojMzMxy7/f3338DANq3b2+03N/fHwEBAYbbiYiIiIiI1OTI1SNo/3V79PqmFwr1nO/M3lXLw/vNVa9ePbz55pto164d9Ho9fvnlF3zxxRf4559/EBUVZbQH/16JiYmGbZS23evXr5d6v7y8POTl5Rm+Lz7CQKfTQafTASia8VGj0UCv1xt9Ola8vHi98pZrNBpIklTqcgDQ6/VmLddqtRBClLr83hpNLeeYLB9T/fr1jepUwpiU+DpxTJUfkyRJJfJu72NS4uvEMVlnTAAQEBCgqDEp8XXimKwzJiEEAgMDS2zbnsekxNfJWmOSJAlT90wFAAR7BUMSRevY85gq8jrp9XoEBgYCQIntVKcxVeQoDLtu+ufPn2/0/ahRo9CkSRO8++672LhxI0aNGmXyvjk5OQCKTiW4l4uLi8nTBebPn4/Zs2eXWH7mzBm4u7sDAHx8fBAUFISrV68iJSXFsI6fnx/8/PwQHx9vdJ5IYGAgatWqhQsXLiA3N9ewPCQkBJ6enoiJiTF6kZs2bQonJydER0cb1RAeHo78/HzExsYalmm1WoSHhyMjIwOXLl0yGmNYWBhSU1ORkJBgWO7h4YHQ0FAkJSXhxo0bhuUck+VjunbtGq5du6aoMSnxdeKYrDOmnJwco7wrYUxKfJ04JuuMqUaNGjhz5oyixqTE14ljst6YLl68qLgxKfF1quyYEpwSEHU5Co4aR4yoM8IwNnsekyWvU3p6erUeU2k7r02RRDU/UaN4Ir+VK1ciMjKy3PVzcnLg7u6OcePGlZjV/24fffQR3njjDVy5csXwSU6x+++/H1qtFocOHSpxv9L29AcGBiIlJQWenp4AqtcnVYDyPn2zpzHpdDqcP38ejRo1Msz+ae9jKq12joljkiQJQgicP38eoaGhhrzb+5iU+DpxTNYZkxACFy5cMMq7vY9Jia8Tx2SdMen1ely8eBEhISFGebfnMSnxdbLGmPRCjwdWPIATiSfw0v0v4eM+H9v9mMqqvbTlOp0Oly5dQqNGjSBJUrUdU2ZmJry9vZGWlmboQ02x6z39pXF1dUWtWrWMPk0pTfEnI4mJiSWa/sTERNx///2l3s/Z2bnUowO0Wm2JSzoUh6i0dat6uSRJpS43VWNFl3NMpmvMz88vNR/2OqaKLueY1DMmnU6HvLw8s/Nu6+V8nTgma9VY2vKy8m6vYyprOcfEMeXm5paa94rWWNHlfJ2qdkybz2zGicQTcHdyx7Ru08x+vavzmCxZnpubW+3HdO8HEmWx+4n87pWRkYHk5GT4+vqWuV6bNm0AFB1JcLfr16/j6tWrhtuJiIiIiIiUrkBXgHd/excA8Hqn1+Fbo+x+iuyH3Tb9ubm5pV4/8b333oMQAv369TMsKygowLlz5wyT9wFAixYtEBYWhmXLlhkdKrF06VJIkoThw4fbdgBERERERETVxLWMa3DQOKC2W2282ulVucshK6q2h/d/9tlnuHPnjmEW/a1bt+Lq1asAgMmTJyM1NRVt27bF6NGjERYWBgDYtWsXduzYgX79+uHRRx81bOvatWto1qwZIiIisGrVKsPyhQsXYvDgwejTpw9GjRqF06dP47PPPsOzzz6LZs2aVd1gSbE0Gg1CQkJMHtZDpCTMO6kJ805qwryrQ7B3ME49fwrnb5+Hh7OH3OXIRol5r7YT+QUHB+Py5cul3hYXFwdvb29MnjwZhw8fxvXr16HT6dCoUSOMGTMGr7/+OhwdHQ3rx8fHo2HDhiWafgD48ccfMXv2bJw9exa+vr6IjIzEjBkzjO5flvT0dHh5eZk1gQIRERERERFRZVWkD622Tb+9YNNPZdHpdIiJiUHz5s1NTspBpBTMO6kJ805qwrwr253cO1h9cjUmtJ8AFwcXucuRnb3kvSJ9qHKOWSCqpu69vAaRkjHvpCbMO6kJ865cC/5cgJd3vYzH1j8mdynVhtLyzqafiIiIiIhIhRIzErH48GIAwPPtn5e3GLIZNv1EREREREQqNPfAXOQU5qBTQCc80uQRucshG+E5/ZXEc/qpLEII5ObmwsXFBZIkyV0OkU0x76QmzDupCfOuTBdTLiLs8zAU6gsRFRGF7sHd5S6pWrCXvPOcfqJqxMnJSe4SiKoM805qwryTmjDvyjMjagYK9YXo16gfG/57KC3vbPqJbEiv1yM6Ohp6vV7uUohsjnknNWHeSU2Yd+U5eeMk1kavBQDM6zVP5mqqFyXm3UHuAoiIiIiIiKjq1HCsgcFNB8PN0Q1t67WVuxyyMTb9REREREREKtK4VmP8NOon5Ovy5S6FqgAP7yciIiIiIlIhJ62yzl2n0nH2/kri7P1UFiEE9Ho9NBpNtZ79k8gamHdSE+ad1IR5V45t57dha+xWzOg+A/U968tdTrVkL3nn7P1E1Uh+Pg+bIvVg3klNmHdSE+bd/un0OkzdMxXLTizDF399IXc51ZrS8s6mn8iG9Ho9YmNjFTX7J5EpzDupCfNOasK8K8Pa6LU4c+sMarrUxBtd3pC7nGpLiXln009ERERERKRgeYV5mBE1AwAwtetUeLt4y1sQVSk2/URERERERAq27PgyxN+JRz33eph0/yS5y6EqxqafyMa0Wq3cJRBVGead1IR5JzVh3u1XRl4G3jvwHgBgZveZcHN0k7mi6k9peefs/ZXE2fuJiIiIiKi6mvf7PLz727to5NMIMS/EwFHrKHdJZAUV6UMdqqgmIlUSQiAjIwMeHh7V+pIfRNbAvJOaMO+kJsy7fZtw3wTcyb2DjvU7suE3gxLzzsP7iWxIr9fj0qVLipr9k8gU5p3UhHknNWHe7Vstt1pY0HsBhjUfJncpdkGJeWfTT0REREREpDC5hbngmdwEsOknIiIiIiJSnBe3v4he3/TCPzf+kbsUkhnP6SeyMRcXF7lLIKoyzDupCfNOasK825ezt85i1T+roBd65BTmyF2O3VFa3jl7fyVx9n4iIiIiIqpOhm0Yhs1nN+OxsMeweeRmucshG6hIH8rD+4lsSK/X4/bt24qaCITIFOad1IR5JzVh3u3LkatHsPnsZmgkDeb2mit3OXZHiXln009kQ0IIJCQkcBIVUgXmndSEeSc1Yd7thxACU/dOBQBEtI5Ac9/mMldkf5SYdzb9RERERERECvDrpV8RFR8FJ60TZvWYJXc5VE2w6SciIiIiIlKA5X8vBwC82OFFBHkFyVwNVRecvZ/Ixjw8POQugajKMO+kJsw7qQnzbh/WDF2DPiF9MLjpYLlLsWtKyztn768kzt5PREREREREVYmz9xNVE3q9Hjdu3FDU7J9EpjDvpCbMO6kJ8179nU46jbzCPLnLUAQl5p1NP5ENCSFw48YNRc3+SWQK805qwryTmjDv1VtOQQ76ftcXTT5rgphbMXKXY/eUmHc2/URERERERHbqs6Of4XrGdQBAaM1Qmauh6ohNPxERERERkR26k3sH8/+YDwCY02MOnB2cZa6IqiM2/UQ2JEkSfHx8IEmS3KUQ2RzzTmrCvJOaMO/V18I/FyI1NxXNfZtjbKuxcpejCErMO2fvryTO3k9ERERERFUtMSMRjT5thOyCbPw48kc8Gvao3CVRFeLs/UTVhF6vx5UrVxQ1+yeRKcw7qQnzTmrCvFdPcw/MRXZBNh4IeACDmw6WuxzFUGLe2fQT2ZAQAikpKYqa/ZPIFOad1IR5JzVh3qsfvdDjembR5H0fPPSBog5Fl5sS8+4gdwFERERERERkPo2kwZaRW3Dq5im0qttK7nKomuOefiIiIiIiIjvEhp/MwaafyIYkSYKfnx8PuSJVYN5JTZh3UhPmvXr5/OjnSMxIlLsMxVJi3jl7fyVx9n4iIiIiIqoKBy4fQPdV3eHp7IkrL1+Bl4uX3CWRTDh7P1E1odPpcPHiReh0OrlLIbI55p3UhHknNWHeqwchBN7e+zYA4ImWT7DhtxEl5p1NP5GNZWRkyF0CUZVh3klNmHdSE+ZdftvOb8PBhINwdXDF9O7T5S5H0ZSWdzb9RERERERE1ZhOr8M7v70DAJjScQr8PfxlrojsCZt+IiIiIiKiamxt9FqcTjoNbxdvvNnlTbnLITvDpp/IhiRJQmBgoKJm/yQyhXknNWHeSU2Yd3nlFeZhRtQMAMDULlNR07WmzBUpmxLzzqafyIY0Gg1q1aoFjYY/aqR8zDupCfNOasK8y6tAX4ChYUPR0LshJnecLHc5iqfEvPOSfZXES/ZRWXQ6HS5cuIDGjRtDq9XKXQ6RTTHvpCbMO6kJ8151rqRdQXJ2cqm3FegKUM+jHoK8gqq4KnWxl7xXpA91qKKaiFQrNzdX7hKIqgzzTmrCvJOaMO+2dyXtCpp+1hS5haafaxcHF8ROimXjb2NKy7tyjlkgIiIiIiKyU8nZyWU2/ACQW5hr8kgAIlPY9BMREREREREpFJt+IhvSaDQICQlR1EQgRKYw76QmzDupCfNOaqLEvPOcfiIbkiSJEzySajDvpCbMO6kJ805qosS8K+fjC6JqSKfTITo6GjqdTu5SiGyOeSc1Yd5JTZh3UhMl5p1NP5GNKekNg6g8zDupCfNOasK82x6vpF59KC3vbPqJiIiIiIhkVqArkLsEUig2/URERERERDLz9/SHi9alzHVcHFxQ2612FVVESiEJHkdSKenp6fDy8kJaWpriJnygyhNCIDc3Fy4uLpAkSe5yiGyKeSc1Yd5JTZh328rKz4KboxskScKVtCtIzk42uW5tt9oI8gqqwurUx17yXpE+lLP3E9mYk5OT3CUQVRnmndSEeSc1Yd5tI1+Xj97f9kZY7TB8MfALBHkFsamvBpSWdx7eT2RDer0e0dHR0Ov1cpdCZHPMO6kJ805qwrzbzpSdU3Do6iFsObcF1zOuy10OQZl5Z9NPRERERERUxf574r/48viXkCBh7dC1CKkZIndJpFDVrunPzMzEzJkz0a9fP/j4+ECSJKxatcpoHb1ej1WrVmHw4MEIDAxEjRo10LJlS8ydOxe5ublmPU6PHj0gSVKJr379+tlgVEREREREREWOXD2CF3e8CAB4r+d76N+4v8wVkZJVu3P6k5OTMWfOHAQFBaF169aIiooqsU52djbGjRuHBx54ABMnTkSdOnVw6NAhzJw5E3v37sVvv/1m1qQLAQEBmD9/vtEyf39/aw2FiIiIiIjIyI3MGxi6YSjydfl4LOwxvP3g23KXRApX7Zr+evXqITExEX5+fjh27Bg6dOhQYh0nJyf8+eef6Ny5s2HZc889h+DgYEPj//DDD5f7WF5eXhg7dqxV6ye6m0ajQXh4ODSaandQDZHVMe+kJsw7qQnzbj1CCIzaOArXM66jWe1mWD1kNTQSn9fqRIl5r3YjcXZ2hp+fX5nrODk5GTX8xR577DEAwNmzZ81+vMLCQmRmZlasSKIKyM/Pl7sEoirDvJOaMO+kJsy7dUiShHcefAcNvRtiy8gt8HD2kLskKoXS8l7t9vRXxo0bNwAAtWvXNmv98+fPo0aNGsjPz0fdunXx3HPPYcaMGXB0dDR5n7y8POTl5Rm+T09PBwDodDrodDoART/MGo0Ger0eQgjDusXLi9crb7lGo4EkSaUuB1BiRklTy7VaLYQQpS6/t0ZTyzkmy8ak0+lw7tw5tGjRAlqtVhFjKq12joljkiQJQogSebf3MSnxdeKYrDOm0vJu72NS4uvEMVlnTHq9HrGxsWjevLlR3u15THK+Tr1DeiPm+Rg4ah0N27P3MSnpddLpdIiNjUXLli1LnDJencZ0bw1lUVTTv2DBAnh6eqJ///InwggNDUXPnj0RHh6OrKwsbNy4EXPnzsX58+exfv16k/ebP38+Zs+eXWL5mTNn4O7uDgDw8fFBUFAQrl69ipSUFMM6fn5+8PPzQ3x8PDIyMgzLAwMDUatWLVy4cMFoIsKQkBB4enoiJibG6EVu2rQpnJycEB0dbVRDeHg48vPzERsba1im1WoRHh6OjIwMXLp0ybDcxcUFYWFhSE1NRUJCgmG5h4cHQkNDkZSUZPgQhWOyfExarRYpKSk4c+aM4U3D3sekxNeJY7LOmOrXr4+srCyjvNv7mJT4OnFM1hlT8+bNodPpjPJu72NS4uvEMVlnTHXq1AEAXL58GVlZWYoYU1W/TrFpsXB3csfATgMVMyZAea8TAMN7emZmJuLj46vtmOrVqwdzSaIiHxFUseJz+leuXInIyMgy1503bx7effddfPHFF3j++ecterzx48fj66+/xqFDh/DAAw+Uuk5pe/oDAwORkpICT09PANXrkypAeZ++2dOYdDodoqOjuaefY1LFmIQQOHXqFPf0c0yqGJMQosT7u72PSYmvE8dkvT39Z86c4Z5+C8eUlJWEjss7IiM/A7+M+QX317/f7sd0b41KeJ2K6XQ6xMTEVPs9/ZmZmfD29kZaWpqhDzVFEXv6169fj2nTpuGZZ56xuOEHgNdeew1ff/019uzZY7Lpd3Z2hrOzc4nlWq3W6E0Q+F+ISlu3qpdLklTqclM1VnQ5x2S6RgcHh1LzYa9jquhyjkk9Y9LpdBXKu62X83XimKxVY2nLy8q7vY6prOUcE8dUnPXStm+vY7JWjWUt10OP0ZtHIyE9AU1rNUVY7TC7H5MSX6fS/m6p7mO69wOJsth90//rr7/iqaeewsCBA/Hll19WaluBgYEAYHT4BVFlaLVFhzwRqQHzTmrCvJOaMO+We/PXN7H/8n64O7ljy8gt8HLxkrskKocS817tZu+viCNHjuCxxx5D+/btsWHDBjg4VO4zjOLzUHx9fa1RHhGEEEhPT6/QRBtE9op5JzVh3klNmHfLfPvPt1h8ZDEA4Jsh36CZbzN5CyKzKDHvdtv0nz17FgMHDkRwcDC2bdsGV1dXk+ueO3cOV65cMXyfnp5udF4+UPTizp07FwDQt29f2xRNqqPX63Hp0qUS5w8RKRHzTmrCvJOaMO8VdyLxBMZvGw8AmPbgNDzW7DGZKyJzKTHv1fLw/s8++wx37tzB9evXAQBbt27F1atXAQCTJ0+GRqNB3759kZqaijfeeAPbt283un9oaCg6depk+L5Zs2bo3r07oqKiAAAnTpzA6NGjMXr0aDRq1Ag5OTnYsmUL/vzzT4wfPx7t2rWrmoESEREREZHifPjnh8gtzMWAxgMwq8csucshlauWTf9HH32Ey5cvG77fvHkzNm/eDAAYO3YsABgukzB16tQS94+IiDBq+u/VoEEDPPjgg9iyZQtu3LgBjUaDZs2a4csvv8T48eOtORQiIiIiIlKZb4Z8g6a1muLVTq9Cqyl9YjaiqlItm/67r4doSkXOsbh33YYNG2LDhg0VLYvIIi4uLnKXQFRlmHdSE+ad1IR5rxhnB2fM6TlH7jLIQkrLuySUNEOBDNLT0+Hl5WXW9RGJiIiIiEiZ1p1eh78T/8a8h+Zx7z7ZXEX6ULudyI/IHuj1ety+fVtRE4EQmcK8k5ow76QmzHv5/rnxD57+6WksOLgAK0+ulLscqgQl5p1NP5ENCSGQkJCgqEt+EJnCvJOaMO+kJsx72VJyUvDY+seQU5iDPqF9MK7NOLlLokpQYt7Z9BMREREREVlAp9dh9KbRiLsTh4beDfH9sO95aD9VO2z6iYiIiIiILDDtt2nYfXE33Bzd8OOoH+Hj6iN3SUQlsOknsjEPDw+5SyCqMsw7qQnzTmrCvJf0w5kf8MGfHwAAlg9ejlZ1W8lcEVmL0vJeLS/ZR6QUWq0WoaGhcpdBVCWYd1IT5p3UhHkvnYCAq4MrXuzwIka1HCV3OWQlSsw7m34iG9Lr9UhKSkKdOnWg0fDAGlI25p3UhHknNWHeSzeixQi0rtsaoT7KahDVTol5V8YoiKopIQRu3LihqNk/iUxh3klNmHdSE+b9f3R6HW5l3TJ837R2UzhouB9VSZSYdzb9REREREREZpgVNQutv2yNQwmH5C6FyGxs+omIiIiIiMqx5ewWzP19LhIzE3Ex9aLc5RCZzaKmPy8vz9p1ECmSJEnw8fGBJElyl0Jkc8w7qQnzTmrCvANnb53FUz8+BQB4uePLGNtqrMwVka0oMe8WNf3+/v6YMmUKoqOjrV0PkaJoNBoEBQUpZhIQorIw76QmzDupidrznpabhiHrhyAzPxM9gntgQe8FcpdENqTEvFs0Eg8PD3z66ado06YNOnXqhBUrViA7O9vatRHZPb1ejytXrkCv18tdCpHNMe+kJsw7qYma864XeozdMhbnb59HoGcg1g9fD0eto9xlkQ0pMe8WNf1xcXHYuXMnhg4dir///hvPPfcc6tWrh4kTJ+LYsWPWrpHIbgkhkJKSoqjZP4lMYd5JTZh3UhM15/3zo59j2/ltcNY6Y/PIzahTo47cJZGNKTHvFjX9kiShb9+++OGHH3D16lUsWLAA9evXx7Jly9CxY0e0bdsWS5cuRXp6urXrJSIiIiIiqhKRbSIxtNlQfDnoS7T3by93OUQWqfSJCrVr18Zrr72GmJgY/P7774iIiMC///6LSZMmwd/fH+PGjcPRo0etUSsREREREVGV8XD2wMbHNyKyTaTcpRBZzKqzE3h4eMDNzQ0ODg4QQkCn02H16tXo1KkTBg4ciKSkJGs+HFG1J0kS/Pz8FDX7J5EpzDupCfNOaqK2vGfkZeDr418bDu9Wy7ipiBLzXummPzMzE8uWLcP999+Ptm3b4osvvkCTJk2wfPlypKSk4OjRoxg+fDh27tyJCRMmWKNmIruh0Wjg5+enqNk/iUxh3klNmHdSEzXlXS/0iPgxAuO3jccru16RuxySgRLz7mDpHQ8fPoyvv/4aP/zwAzIzM+Hu7o7x48djwoQJaNOmjWG99u3bY/369XBycsLPP/9sjZqJ7IZOp0N8fDyCg4Oh1WrlLofIpph3UhPmndRETXmf//t8bDm3BU5aJ4xuOVruckgGSsy7RU1/eHg4YmJiIIRA27ZtMWHCBDzxxBNwd3c3eZ8WLVpgzZo1FhdKZK8yMjLkLoGoyjDvpCbMO6mJGvK+48IOTN83HQDwxYAv0DGgo8wVkVyUlneLmv5Lly5h3LhxmDBhAjp06GDWfcaMGYNOnTpZ8nBEREREREQ282/Kv3hi0xMQEJh430Q80+4ZuUsishqLmv7ExER4enpW6D6BgYEIDAy05OGIiIiIiIhsIjM/E0PWDUFaXho6B3bGkv5L5C6JyKosmp1gyJAh+Oabb8pc57vvvkOvXr0sKopIKSRJQmBgoKJm/yQyhXknNWHeSU2Unvc/rvyB2NuxqOdeDxsf3wgnrZPcJZGMlJh3i/b0R0VFoUePHmWuc/nyZezfv9+SzRMphkajQa1ateQug6hKMO+kJsw7qYnS896vUT/89tRvcNA4oJ5HPbnLIZkpMe82uw5BVlYWHB0dbbV5Irug0+lw7tw56HQ6uUshsjnmndSEeSc1UWrehRCG/z/Y4EF0CuT8Y6TMvJu9p//KlStG39+5c6fEMqDoSUpISMCmTZsQHBxc6QKJ7F1ubq7cJRBVGead1IR5JzVRWt4vpV7CE5uewIpHV6C5b3O5y6FqRml5N7vpDw4ONpzXIEkSlixZgiVLTE9yIYTAwoULK18hERERERGRlWTlZ+Gx9Y/h1M1TeGnnS9jz1B65SyKyKbOb/qeeegqSJEEIgW+++QatW7dGmzZtSqyn1Wrh4+ODXr16oV+/ftaslYiIiIiIyGJCCDy79VmcunkKdWvUxeohq+UuicjmzG76V61aZfj//v37MW7cOLz00ku2qIlIMTQaDUJCQqDR2Gz6DKJqg3knNWHeSU2UlPePD32MdafXwUHjgB8e/wH1PevLXRJVM0rKezGLZu+Pi4uzdh1EiiRJEjw9PeUug6hKMO+kJsw7qYlS8r7n0h68uedNAMDivovxYIMHZa6IqiOl5P1uyvn4gqga0ul0iI6OVtTsn0SmMO+kJsw7qYkS8h5/Jx6jNo6CXugR0ToCL3R4Qe6SqJpSQt7vZdae/l69ekGSJKxevRoBAQHo1auXWRuXJAl79+6tVIFE9k5JbxhE5WHeSU2Yd1ITe897DccaCK8bjoy8DCwduNQwQTlRaew97/cyq+mPioqCJEnIzs42fG8O/jAREREREZHcfGv44tcnf0VqTipcHV3lLoeoSpnV9Ov1+jK/JyIiIiIiqm7OJZ9DWO0wAICDxgG+NXxlroio6vGcfiIb0mg0aNq0qaJm/yQyhXknNWHeSU3sNe/74/ej5RctMXnHZOj0yjpcm2zHXvNeFuWMhKiacnJykrsEoirDvJOaMO+kJvaW9ytpV/D4D49DJ3RIzU2FRmLbQ+azt7yXx6zD+w8cOGDxA3Tr1s3i+xLZO71ej+joaISHh0Or1cpdDpFNMe+kJsw7qYm95T2nIAdD1w/FrexbaOPXBsseWca5xshs9pZ3c5jV9Pfo0cPiHxSlzXxIRERERETVkxACz29/HscTj8PH1QdbRm6Bm6Ob3GURycqspn/GjBn8dIyIiIiIiKq1L/76Aqv/WQ2NpMH64esR7B0sd0lEsjOr6Z81a5aNyyAiIiIiIrLc1fSreHX3qwCADx/+EA+HPCxzRUTVgySEEHIXYc/S09Ph5eWFtLQ0eHp6yl0OVTNCCOj1emg0Gh4tQ4rHvJOaMO+kJvaU959jf8a289vw1aCvqn2tVD3ZS94r0odyGksiG8vPz5e7BKIqw7yTmjDvpCb2kvfBTQdz4j6qNHvJu7ksbvozMjIwf/58PPTQQ2jWrBlCQkJKfIWGhlqzViK7o9frERsbC71eL3cpRDbHvJOaMO+kJtU570IIfPjHh7iSdkXuUkghqnPeLWXWOf33unXrFjp37oyLFy/C09PTcGhBfn4+cnJyAAD+/v5wdHS0arFERERERETFlh1fhql7p+I/h/+D85PPw9OZp9sS3cuiPf2zZs3CxYsX8c033yA1NRUA8MorryArKwtHjhzB/fffj+DgYJw5c8aqxRIREREREQHAwYSDmLxzMgDglQdeYcNPZIJFTf+OHTvw0EMPYezYsSXOl+nQoQN27tyJ+Ph4zJ492ypFEtkzrVYrdwlEVYZ5JzVh3klNqlver2dcx7ANw1CgL8Dw5sPxZpc35S6JFKS65b2yLGr6ExMT0bZtW8P3Wq3WcFg/ANSsWRP9+/fHhg0bKl8hkR3TarUIDw9X3BsHUWmYd1IT5p3UpLrlPV+Xj+EbhuNG5g208G2BlY+u5MR9ZDXVLe/WYFHT7+XlhYKCAsP3NWvWxNWrV43W8fT0xM2bNytXHZGdE0IgPT0dvDImqQHzTmrCvJOaVLe8T9k5BYeuHoKXsxe2jNwCdyd3uUsiBaluebcGi5r+kJAQxMfHG75v27Ytfv31V9y+fRsAkJOTg61btyIoKMgqRRLZK71ej0uXLilq9k8iU5h3UhPmndSkOuU9Mz8TR64dgQQJa4auQeNajeUuiRSmOuXdWixq+vv06YO9e/ciOzsbADBhwgQkJSWhdevWePzxx9GyZUtcvHgRkZGR1qyViIiIiIhUzN3JHX88/Qe2jNyCgU0Gyl0OkV2wqOmfOHEivv76a0PTP3ToUCxcuBBZWVnYtGkTbty4gVdffRVvvPGGVYslIiIiIiL1KdQXGv7v5uiGR8MelbEaIvtiUdNfr149jBw5ErVr1zYse+2115CcnIzExERkZmZi4cKFipr8gMhSLi4ucpdAVGWYd1IT5p3URM68F+gK8PA3D2PO/jnQC+Ucck3Vl9Le3yWhpBkKZJCeng4vLy+kpaXB05PXBiUiIiIisqaXdr6ET49+Cg8nD0Q/H40G3g3kLolIdhXpQx0q+2BZWVm4c+cOdDpdqbdzMj9SM71ej9TUVNSsWRMajUUH1hDZDead1IR5JzWRM++rT67Gp0c/BQB8N/Q7Nvxkc0p8f7e46V++fDkWLVqE2NhYk+tIkoTCwkKTtxMpnRACCQkJ8Pb2lrsUIptj3klNmHdSE7nyfvz6cUzYNgEAMLP7TAxuOrhKH5/USYnv7xY1/UuXLsWLL74IBwcHdOvWDQEBAXBwqPRBA0RERERERLiVdQuPrX8Mebo8DGoyCDO6z5C7JCK7ZVGnvnjxYtSuXRt//PEHmjRpYu2aiIiIiIhIpfRCj5EbRyIhPQFNajXBd499B42kjMOsieRg0U/P5cuXMWLECDb8RGbw8PCQuwSiKsO8k5ow76QmVZl3jaTB2FZjUdutNraM3AIvF68qe2wiQHnv7xbN3t+wYUP069cPS5cutUVNdoWz9xMRERERWV9mfibcndzlLoOoWqpIH2rRnv6IiAjs3LkTWVlZFhVYnszMTMycORP9+vWDj48PJEnCqlWrSl337Nmz6NevH9zd3eHj44Mnn3wSt27dMvuxfv75Z7Rr1w4uLi4ICgrCzJkzOfkgWY1er8eNGzeg1/OasqR8zDupCfNOalJVeY+5FYPk7GTD92z4SQ5KfH+3qOmfNm0aOnTogN69e+PAgQPIzMy0alHJycmYM2cOzp49i9atW5tc7+rVq+jWrRv+/fdfzJs3D6+//jq2b9+O3r17Iz8/v9zH2blzJ4YMGQJvb298+umnGDJkCObOnYvJkydbczikYkII3LhxAxYcUENkd5h3UhPmndSkKvKenJ2MAWsGoP2y9jh766zNHoeoPL/+KtC5szd+/VU57+8WTeTn7OwMoOgNoGfPnibXs/SSffXq1UNiYiL8/Pxw7NgxdOjQodT15s2bh6ysLBw/fhxBQUEAgPvvvx+9e/fGqlWrMH78+DIf5/XXX0erVq2we/duw9UHPD09MW/ePEyZMgVhYWEVrp2IiIiIiMxXqC/EqI2jcDntMkJrhsLP3U/ukkilhACmTdMgLs4F06YJ9OkDSJLcVVWeRU3/gw8+CMmGo3d2doafX/k/7Js2bcKgQYMMDT8APPzww2jSpAk2bNhQZtMfExODmJgYfP7550aXG3zhhRfw/vvvY+PGjZg2bVrlBkJERERERGV6Z+872Bu3FzUca+DHUT+ipmtNuUsildq9Gzh2rKjPPXZMwu7dQN++MhdlBRY1/VFRUVYuo+KuXbuGpKQktG/fvsRt999/P3bs2FHm/f/++28AKHF/f39/BAQEGG6/V15eHvLy8gzfp6enAwB0Oh10Oh2AoiMcNBoN9Hq90WFQxcuL1ytvuUajgSRJpS4HUOI8E1PLtVothBClLr+3RlPLOSbLx+Tt7W1UpxLGpMTXiWOq/JgkSULNmjWNtmPvY1Li68QxWWdMAErk3d7HpMTXiWOyzpiEEPDx8SmxbWuMacOZDVh4cCEAYPkjy9GsVjPD/fg6cUxVOSYhgEmTNJAkQAgJWq3AtGnAQw/pDXv7q9OYKnK6jUVNf3WQmJgIoOhUgHvVq1cPKSkpyMvLM5yKUNH7X79+vdT7zZ8/H7Nnzy6x/MyZM3B3L5psxMfHB0FBQbh69SpSUlIM6/j5+cHPzw/x8fHIyMgwLA8MDEStWrVw4cIF5ObmGpaHhITA09MTMTExRi9y06ZN4eTkhOjoaKMawsPDkZ+fj9jYWMMyrVaL8PBwZGRk4NKlS4blLi4uCAsLQ2pqKhISEgzLPTw8EBoaiqSkJNy4ccOwnGOyfEx37tzBnTt3FDUmJb5OHJN1xiRJEs6cOaOoMSnxdeKYrDOmOnXqGOVdCWNS4uvEMVlnTEFBQbh48aJVx3Q+7Tye/v1pAMBrHV9DU11Tw218nTimqh7TlCnB+Pdfb8NtOp2EY8eAZcvi0blzRrUbU2l9rCkWXbKvKhWf079y5UpERkYalv/+++/o1q0b1q9fjxEjRhjdZ8aMGXjvvfeQmpoKb2/vUrf73nvvYcaMGbh58ybq1KljdFu3bt2Qnp6OkydPlrhfaXv6AwMDkZKSYrhUQnX4pOpuSvn0zR7HpNfrkZCQgPr16xvGYu9jKq12joljKj7lKyEhAf7+/obHsvcxKfF14pist6f/6tWrRnm39zEp8XXimKy3p//69euoV6+eUd4rO6b+a/vj10u/ok9IH2x/YjskGJ8+zNeJY6qqMel0eoSFaXDxIoC7cqjVCrRtCxw6VLS3vzqNKTMzE97e3mZdss+sPf1PP/00JEnCvHnzULduXTz99NPm3A2SJGH58uVmrVtRrq6uAGDUgBcr/mSkeB1L7m/qvs7OzqUePaDVaqHVao2W3f2meO+6Vb1ckqRSl5uqsaLLOSbTy+/cuYPAwMASt9vzmJT4OnFMlR+TTqdDamoqAgICzMq7rZfzdeKYrFVjacvLyru9jqms5RyTusek0+mQkpKC+vXrl7p9S2tfP3w93trzFuY/NB8O2tLbEr5OHJO1arx3+T//AFevAgMHAnv3av+/4TdWvLd/716t4dz+6jKm4h0u5jCr6V+1ahUkScJbb72FunXrYtWqVWZt3JZNf/HhDMWH6d8tMTERPj4+Jg/tv/f+gYGBJe5///33W7FaIiIiIiK6W03Xmlj2yDK5yyCVycoCZs8GPv4Y8PYGzp4Fpk8HNBqglIO6oNEU3W7PM/mb1fTHxcUBAOrXr2/0vZzq168PX19fHDt2rMRtR48eRZs2bcq8f/Htx44dM2rwr1+/jqtXr5Z7uT8iIiIiIqqYTTGbcDPrJp5v/3yF9lQSWcPOncALLwDx8UXf9+wJ5OQAV66U3vADRcsTEoD8fKCMfcrVmllNf4MGDcr8Xi7Dhg3D6tWrkZCQYNhbv3fvXpw/fx6vvPKKYb2CggJcvHgRXl5ehj38LVq0QFhYGJYtW4YJEyYYDpdYunQpJEnC8OHDq35ApDiSJMHPz4+/1EgVmHdSE+ad1MRaeT+TdAYRP0YgqyALtVxrYWTLkVaqkKhsN24AL78MrF9f9H1QEPD558CgQUXf//UXcOtW0f/1ej1SUlLg4+NjODS/Th37bfiBajyR32effYY7d+7g+vXrWLp0KYYOHYq2bdsCACZPngwvLy8kJCSgbdu28Pb2xpQpU5CZmYmFCxciICAAf/31l+Hw/vj4eDRs2BARERFGpyZs27YNgwcPRs+ePTFq1CicPn0an332GZ555hksW2beoUbp6enw8vIyawIFIiIiIiI1upN7Bx2+7oB/U/5Fr4a9sGvsLjho7PZCYmRHUlKARo2A1NSiQ/Vffrno8P7/v/Ca3apIH2pW03/gwAGLi+nWrZtF9wsODsbly5dLvS0uLg7BwcEAii6V9+qrr+KPP/6Ak5MTBg4ciEWLFqFu3bqG9U01/QDw448/Yvbs2Th79ix8fX0RGRmJGTNmwNHR0aw62fRTWXQ6HeLj4xEcHGxyUg4ipWDeSU2Yd1KTyuZdL/R45PtHsOPCDjTwaoBj44+htlttG1RKVLrnny/am79sGdCuXdnr2sv7e0X6ULM+XuvRo4fFh/Pce2kBc8UXn2hRjhYtWmDXrl1lrhMcHFzisgrFhgwZgiFDhlSwOiLz3X39TSKlY95JTZh3UpPK5H1W1CzsuLADLg4u2DxyMxt+sqmcHGDePOCpp4DGjYuWLVoEODkBDmYeXKK093ezhj1jxowSTf/hw4exa9cuNG7cGF26dEHdunVx8+ZNHDx4EOfPn0ffvn3xwAMP2KRoIiIiIiKq/n489yPeO/AeAGDZoGVoV6+c3axElbBnDzBxInDxInDoEPDrr0Uz7ru5yV2ZvMxq+mfNmmX0/e+//4758+dj2bJleOaZZ4w+EBBC4Ouvv8aUKVPw7rvvWrVYIiIiIiKyH1fSrkAjaTD5/sl4svWTcpdDCpWUBLz2GvDdd0Xf168PvPii/V5iz9osmsivR48eqFWrFjZt2mRynaFDhyI1NRX79u2rVIHVHc/pp7Lo9XqkpqaiZs2ahtk/iZSKeSc1Yd5JTSqb94MJB9HBvwMctebNmUVkLiGAlSuBN94omrBPkoBJk4C5cwFLWzN7eX+vSB9q0SiOHz+OZs2alblOs2bNcOzYMUs2T6QYGo0GtWrVqtZvGETWwryTmjDvpCYVzbte6JFdkG34vnNgZzb8ZBOrVgHPPFPU8LduDRw+DHzyieUNP6DM93eLRuLk5IS///67zHX+/vtvODk5WVQUkVLodDqcO3fO4gktiewJ805qwryTmlQ073MPzEXH/3bEvyn/2rgyUrsxY4D27YGFC4Fjx4D776/8NpX4/m5R09+nTx/88ssv+OCDD5Cfn290W35+PubPn49du3ahb9++VimSyJ7l5ubKXQJRlWHeSU2Yd1ITc/O+7fw2zIyaidNJp3Ew4aCNqyK12b8fePxxoKCg6HsnJ+DIEeD1182fmd8cSnt/t+ipWbhwIX7//Xe8++67WLJkCdq3b486deogKSkJx44dQ1JSEvz9/bFgwQJr10tERERERNXQ+dvnMWbzGADAix1exFOtn5K5IlKK27eLzttfubLo+86dgVdeKfq/go7CtxmLmv6AgAAcO3YMU6dOxYYNG7B9+3bDbS4uLnjyySfxwQcfwM/Pz2qFEhERERFR9ZSRl4Eh64YgPS8dXYO64uO+H8tdEimAEMCaNUUNfnJy0bKJE4Fx4+Sty95YNHv/3QoKChAbG4u0tDR4eXmhSZMmqjqXn7P3U1mEEMjIyICHh4fRpS2JlIh5JzVh3klNysu7XugxfMNwbDm3Bf4e/jg+/jj83Lnzjyrn33+B558H9uwp+r5FC2DZsqK9/LZkL+/vFelDLdrTHxISgv79++Pzzz+Ho6MjWrZsaVGhREonSRI/DCLVYN5JTZh3UpPy8r748GJsObcFTlonbBqxiQ0/WcWkSUUNv4sLMGMG8NprRefw25oS398tOgMiOTlZcU8EkS3odDpER0cravZPIlOYd1IT5p3UpLy8j2wxEg8EPIDPB3yOBwIeqOLqSEnuPgZ98WJg4EDg9Gng7berpuEHlPn+btGe/latWuH8+fPWroVIkZT0hkFUHuad1IR5JzUpK+/1Pevj93G/w0FjxenTSVVSU4GpUwE3N+A//ylaFhYGbNsmTz1Ke3+3aE//W2+9ha1bt2Lfvn3WroeIiIiIiKq5zPxMbDv/v46MDT9ZQghg3TqgWbOi8/U//RS4fFnuqpTHop/O1NRU9OnTB3369MGQIUPQoUMH1K1bt9SJDp56ipfqICIiIiJSCiEEnv7pafwQ8wPmPzQfU7tOlbskskNxccALLwC//FL0fVgY8NVXQIMG8talRBbN3q/RaCBJEu69691NvxACkiQp7tCIe3H2fiqLEAK5ublwcXGp1rN/ElkD805qwryTmtyb9wV/LsBbe96Cg8YBURFR6BLURe4SyY4UFBQdwj9rFpCTU3Su/rvvAm+9BTg7y12d/by/23z2/pUrV1pUGJEaqekSlkTMO6kJ805KdiXtCpKziy6MLoSAXq+HRqPBkatHMHVP0Z79T/p9woafKiwlBZg3r6jh79ED+PJLoGlTuasyprT3d4ua/oiICGvXQaRIer0e0dHRCA8Ph1arlbscIpti3klNmHdSsitpV9D0s6bILcw1uY5W0mJA4wFVWBXZs5wcwNW16P916xadu6/TARERQHXbma7E93eLJvIjIiIiIiJlSs5OLrPhBwCd0OF2zu0qqojslRDA5s1Ao0bGM/E/+SQQGVn9Gn6lqvQ0mzqdDsnJycjLyyv19qCgoMo+BBEREREREdmRhARg0iTg55+Lvl+8GBg0SNaSVMvipv/48eN45513cODAAeTn55e6jiRJKCwstLg4IiIiIiIish86XdHh+9OmAVlZgKNj0SR9774rd2XqZVHTf/LkSTz44INwcHBAnz59sHXrVrRu3Rp+fn44ceIEbt26hR49eqABr7dAKqfRaBAeHg6NhmfSkPIx76QmzDsRUUl//w089xxw/HjR9126AMuWAc2by1tXRSjx/d2ikbz33nsAgCNHjuCnn34CADz22GPYuXMn4uPjMXHiRJw+fRozZ860XqVEdsrUkTBESsS8k5ow70RExq5eLWr4vb2Lmv0DB+yr4S+mtPd3i5r+P/74A4MHD0azZs0My4QQAABXV1d89tln8Pf3xzvvvGOdKonslF6vR2xsLPR6vdylENkc805qwrwTERW5evV//3/kEWDJEuDs2aI9/va4s1yJ7+8WvQxpaWkICQkxfO/o6IjMzMz/bVSjQY8ePbB3797KV0hERERERFWmeGceUVmuXQOGDQPCw4EbN/63/KWXAD8/+eqikixq+uvUqYPU1FTD935+frhw4YLROrm5ucjOzq5cdUREREREVKW2nd9W7jouDi6o7Va7Cqqh6kanAz7/HGjWrOhyfBkZQFSU3FVRWSyayK958+aIjY01fN+lSxf8+OOPOHToEDp16oSzZ89iw4YNCAsLs1qhRPZKq9XKXQJRlWHeSU2Yd1Ki/fH78d6Bovm7Xn3gVYxpNQY6nQ6XLl1CSEiIIfe13WojyIuX5labf/4BJkwAjhwp+r5jx6Jz91u1krcua1Pa+7skLDh+59NPP8Urr7yChIQE1KtXD//88w8eeOAB5Ofnw8fHB6mpqdDr9di0aRMee+wxW9RdbaSnp8PLywtpaWnw9PSUuxwiIiIiIoskpCXgvmX34Vb2LTwR/gS+e+w7SJIkd1lUDQhRdMm9BQuK9vR7egLz5xd9AKCw/thuVKQPtejw/okTJ+LatWuoVasWAKB169bYu3cv+vXrh9q1a+Phhx/G1q1bFd/wE5VHCIH09HSeG0eqwLyTmjDvpET5unz41vBF67qt8fUjXxsafuadJAnIzCxq+IcNK5qo74UXlNnwKzHvFu3pp//hnn4qi06nQ3R0NMLDwxV3mBDRvZh3UhPmnZQqIy8DaXlpCPAMMCxj3tXpxg0gNxcIDi76Pj0d+P13YOBAWcuyOXvJu8339BMRERERkTLcyPzf1Osezh5GDT+pj15fdJ5+s2ZAZGTRof1A0SH9Sm/4lcqipn/16tW47777cP369VJvv379Ou677z6sXbu2UsUREREREZHt/HHlDzRc0hAfHfxIUYczk2XOnAG6dSs6V//OnaJD+m/flrsqqiyLmv5Vq1bByckJ/v7+pd7u7+8PV1dXLF++vFLFESmBi4uL3CUQVRnmndSEeSd7dy39GoZvGI7cwlz8df2vMtdl3pUtJweYNg1o2xb480+gRg3gP/8BDh8GaqvwyoxKy7tFTX9MTAzatm1b5jpt2rRBTEyMRUURKYVWq0VYWFi1Ph+IyFqYd1IT5p3sXV5hHob/MBw3s24ivE44VgxeYXKmfuZd2S5dKrrk3vvvAwUFwODBRRP1vfwy4GDRBd7tmxLzblHTn5aWhpo1a5a5jqenJ1JTUy0qikgp9Ho9bt++Db1eL3cpRDbHvJOaMO9k717a+RIOXz2Mmi41sWXkFtRwqmFyXeZd2QIDAVdXwN8f2LwZ+PHHomVqpcS8W9T0+/v74+TJk2Wu888//6Bu3bqWbJ5IMYQQSEhI4DlypArMO6kJ8072bNnxZVh2YhkkSPh+2PcI9Qktc33mXVmEADZsAPLzi753dAQ2bSrau//YY0WX51MzJebdoqb/4Ycfxq5du/Drr7+Wevvu3bvxyy+/oG/fvpUqjoiIiIiIrOfC7QuYtGMSAGDeQ/PQtxH/XleT2FigZ09g5Ehg4cL/LW/8f+3dd3gUVRfH8e/uQhJKEkjoEKoUgSAdQaliV1S6YsGGBcTeUFRQsaP4Kgr2ghUQFRvSi1JCkdCRGkqAEEgBkpDdef8YkxDIhrTN7s7+Ps+Tx53Zu5NzZw9jzsydO43N2fnFmop0l8aTTz7Jt99+yxVXXMFNN93ExRdfTO3atdm7dy+zZs3iyy+/JCwsjCeffLKk4xURERERkSI6J+Icxl86nr/i/uLxCx73djhSStLT4eWXYdw48wp/uXJQsaK3o5LSUqSiv0GDBvzyyy8MHjyYTz/9lM8++yz7PcMwqFOnDt999x0NGjQosUBF/FVoaKi3QxApNcp3CSTKd/FHNpuNER1HMLzDcLcT9+VF+e6/FiwwH8G3ebO5fPnlMHEi1K/v1bB8mtXy3WYU42aFjIwMfvzxR5YvX05SUhKVKlWiY8eO9OnTh6CgoJKM02clJycTHh5OUlISYRoTIyIiIiI+aFLMJAa1HESlkEreDkVK0YQJ5iz8ANWrm8sDB+q+fSsoTB1arKJfVPRL/lwuFwcPHqRatWrY7UWaQkPEbyjfJZAo38WffLz6Y27/6XaaRjZl9V2rKVe2XKE+r3z3X1u3wnnnwc03w0svwVkewCb4T74Xpg713V6IWIBhGMTHx1tq9k8Rd5TvEkiU7+Ivlu9dzj2/3APAkOghhS74QfnuT7Ztg/fey1lu3Nhc9/77KvgLyor5rqJfRERERMSCDqQeoO+3fclwZnBN02t4qttT3g5JPCQjw5ykr2VLGD4c/v47572aNb0Xl/iGIk3kJyIiIiIivuuk8yQDpw5kb8pemkY25fPrPsdu0/U+K1qyxJyob/16c7l3b6hWzbsxiW/Rv3wRD7LZbERERBRqdlwRf6V8l0CifBdf98isR1i4ayGhQaHMGDyDsOCizz2lfPdNR4/C3XfDhReaBX/VqvDllzBrFjRq5O3o/JcV810T+RWTJvITEREREV9y5MQRznv/POKS45gxaAbXNLvG2yFJCXO5oFWrnKv7t90Gr74KkZHejUtKjybyE/ERLpeL3bt343K5vB2KiMcp3yWQKN/Fl1UuV5mVw1by2bWflUjBr3z3AqcT5s+Hr782/+t05nrbboeHH4amTc23P/pIBX+JcDpxzZ1Lwv/+h2vu3DP2u78qUtE/duxYFi5cmG+bRYsWMXbs2CIFJWIVhmGQmJhoqdk/RdxRvksgUb6LLzo1H6tWqMrN591cItv980+DHj2q8eefyvdSMX061K/P7J4v0PyG85jd8wVO1juH126O5eefc5oNHQr//APdu3stUmv5b7/bL7qIKiNHYr/oIqhf31zv54pU9D/33HPMnz8/3zYLFy5kzJgxRdm8iIiIiIgUQqYrk6u+vopP13xaots1DHj6aTs7doTw9NN2dJ7Lw6ZPh/79MfbsYRTj2EhzRjKB9nt/4LEvorln6AlSUsymNhsEB3s3XMv4b7+zZ0/u9Xv3muv9vPD32Oz9GRkZOBwOT21eRERERET+8/ifj/Pr1l9ZuGshl51zGTUq1iiR7c6aBTEx5oRmMTE2Zs2CTp0gNdX9Z6pXh7JlzddJSWQXqXmpVg2CgszXycnmjztVq+YUuamp5kR27lSpAiEh5utjx+DIEfdtIyKgfHnz9fHjkJjovm3lylChgvn6xAk4fNh920qVoGJF83VaGiQkuG8bHg6h5Z1w//2kG2X5nv6soCMAG2lhxslhnne9QMWTzwCVzQ+ePAkHDrjfcGiouXGAzEyIj3fftkIFs4NgDmvfv9992/LlzR0H5gQD+/a5b1uuXM69B4ZhFtLuhISYX16W04vwUwUHm0mRZd8+M5a8BAXlfqTB/v05Q/edThgxgjzPaBmGeXblgQfgmmvAX+tbowhsNpsxduxYt++np6cbPXv2NGrXrl2UzfuVpKQkAzCSkpK8HYr4IKfTaezfv99wOp3eDkXE45TvEkiU7+JLpqydYvAcBs9hTNswrcS263IZRuPGhgEuAwzD4XAZHToYxoMPGoZZDeX9s3Fjzjaefjr/tjExOW1fein/tgsX5rR9++382/72W07bDz/Mv+3UqTltv/46/7aff57T9qef8m/73ns5bWfPzr/t668bhjFvnmGA8Redzng/kkPGAaqYC7femrPhtWvz3/Djj+e0/fff/NuOGJHTdv/+/NvedltO2+Tk/NsOGpTTNjMz/7ZXXZU7CYOD3bft1St324gI9207dcrdtk6d/OPI62fePMOXFKYOLfCV/oYNG+ZafvPNN/nkk0/OaOd0OklISCAtLY0777yzuOckRPya3W6nRo2SOdMu4uuU7xJIlO/iK9bEr+GOn+4AYNSFo+h7bt8S2W58PAweDFu3AphX+p1OGytWQL16OVfn83Lqk84cDs+0tdtLrq3d7vm2Nlv+bR0Osq+sL//vCv+pDlOF1bTlUmaZQxcKteFT5Ne2zGmloa+0dXdPSdZwklPbutt2fm2dzoJN2JffyAcfV+BH9tWvXz/7WYW7d+8mLCyMSpUqndHO4XAQERFBr169GD16NBWyxr9YlB7ZJ/lxOp3s3LmT+vXr63YXsTzluwQS5bv4gsPHD9P+g/bsPLqTy865jJnXz8RhL14+ulzw4Yfw2GPm0PzTORzQti0sW5a7sJYSMH8+Rs+edGIZq2iL85Q7sR1k0pZVLKMTtnnzoEcP78VpNfPnQ8+eZ2/nY/u9MHVoga/079y5M/u13W7nwQcf5JlnnilykCKBIiW/G9lELEb5LoFE+S7e5HQ5GTxtMDuP7qRh5YZ81ferYhf869fDXXfBkiX5/F4nrFhh3ut/6aXF+nWSZdUqeOQR+OwzZlUZwoqEM6/0OynDCjoyq8oQLu3a1QtBWljXrlCnjjnXQF7Xw202830/3u9Fmr1/x44d3H///SUdi4iIiIiIFIDNZqNLnS5UDKrIjEEzqFyucrG3+eCDZsFfvjxEReUenn4qux1Gj3Y/6loKKDUVHnoIOnSAefMwnnqa0eFvYyfvoeZ2nIwOfxujmCd35DQOB0yYYL4+ffhK1vJbb/nvJH4UseivV68e4f/NArlhwwamT5/OF198UaKBiYiIiIhI3uw2O2N6jmHrfVuJrh5d5O2cOtn5//4H/fqZz37PyHA/EbrLBXFxZhspop9/hubN4c03zR06eDAZz7/C7tQIXORdXLpwEHcsQvvdE/r2halToXbt3Ovr1DHX9y2ZuTK8pcD39J9uxYoV3HnnncTGxmavc/43AcLChQu57LLL+Oabb+jTp0/JROqjdE+/5MflcnHkyBEqV66M3d3pchGLUL5LIFG+i7fsOLKDGhVrUK5suWJt59AhePhh8wltWRc5TxUXZ7YBM9+Tk5MJCwvLzvdq1cx6SApp3z4YORKmTTOX69eH996Dyy4DTtnvTiesXm0+569KFWjTBhwO7XdPczpxLVjAsX//pcI552Dv3t1nr/AXpg4tUtG/fv16zj//fOx2O3feeSebNm3it99+yy76DcOgXr16dO/e3fIjAFT0i4iIiEhpSDyRSIcPOlA5pDIzBs+gTljhqz/DgE8/NW8hT0w0J0vfvt0czi+l4Ikn4JVXzELy4YfhmWfA4hOfi2cUpg4t0qnpZ599FoCVK1fy+uuv06FDh1zv22w2OnfuzIoVK4qyeRHLcDqdbNq0KfuEmIiVKd8lkCjfpbQ5XU6GTB/C9iPbOXziMOXKFP5K/+bN5iTlt91mFvytWsHixWcv+JXvxXTqfnv6afMeipUrzeJfBb/PsWK+F6noX7BgAf369eOcc85x26Zu3brs9+NnGYqUlLS0NG+HIFJqlO8SSJTvUpqemfcMv//7O+XKlOOHQT8QWT6ywJ9NT4cxY8wif8ECKFcOXn0VYmKgU6eCbUP5XgTHj8Pjj0Pv3jkTJFSsaN4jft553o1N8mW1fC9S0Z+SkkK1atXybXPixAmPnx0ZOnQoNpvN7c/evXvdfva5557L8zMhISEejVlEREREpDCmbZjGuMXjAPiwz4e0rtG6UJ8/etScfDwjw7x1fP16ePRRKFu2xEOVLH/8AS1bmmdX5s83n3Eo4iVlivKhqKioXBP45WXVqlU0atSoSEEV1F133UXv3r1zrTMMg7vvvpv69etT+/TZF/Pw3nvvUbFixexlh49O1CAiIiIigWfDoQ0M/XEoAA+d/xA3RN9QoM+lpEBoqPm6enV4913zNvKBA898KpmUoAMHzGcffv21uRwVZe78/ybqE/GGIhX9V111FW+//TazZ88+o+gG+O6771i6dCmjR48udoD56dy5M507d861bvHixRw/fpwhQ4YUaBv9+/enSpUqnghPBLvdTsOGDTWzswQE5bsEEuW7lAbDMLjz5ztJzUilV4NevHLxKwX4DEyZYj7+/aOP4OqrzfU3FOxcQZ6U7wXgcpk7/LHHzKEVdjvcfz+MHWsO6Re/YcV8L1JPRo0aRa1atbjiiiu48847iYmJAWDixIncdNNN3HDDDdSvX5+HHnqoRIMtiK+++gqbzcYNBTyyGYZBcnIyRXxyoUi+bDYbYWFh2HRKXQKA8l0CifJdSoPNZuOrvl9xTdNr+KbfN5Sx53+97t9/4ZJL4KabzMe+vfdeycWhfD8Ll8vc4UePQtu2sHw5jB+vgt8PWTHfi1T0V61alQULFtChQwc++ugjfvnlFwzDYMSIEUyZMoUOHTowd+5cwsPDSzrefJ08eZLvvvuOLl26UL9+/QJ9pmHDhoSHhxMaGsqNN97IgQMHPBukBBSn00lsbKylZv8UcUf5LoFE+S6lpV6leswYPIOqFaq6bZORAePGQXQ0zJ4NISHw4oswY0bJxKB8d+PECXOWRDCffTh5Mrz5JixbBu3aeTc2KTIr5nuRhveDWSwvWbKENWvWsHTpUhITEwkLC6NTp05nPMKvtPzxxx8cPny4QEP7K1euzIgRI+jcuTPBwcEsWrSId999l+XLlxMTE+P2WYfp6emkZ/3jxnw+IpjJkZUYNpsNu92Oy+XKNYIga/3pCeRuvd1ux2az5bkewJU1C+hZ1jscDgzDyHP96TG6W68+Fa1PhmGQmZmZ6z1/71NesatP6lPW2fDT893f+2TF70l9Kpk+5XV89/c+WfF78tc+zdw6E7vNzlVNrjprn5Ytg2HD7Kxfbx6HL7rI4N13XeQ8ZKv4fXK5XLn+1i1Kn/KK/Wzrffp7mjMH+/DhcP31MGaMGWObNuYPYP/vd/lVn05Zn1fsfvk9FaFPWbluGEaex3hf6VNhRqoXuejP0rp1a1q3bl3czZSIr776irJlyzJw4MCztr3//vtzLffr14+OHTsyZMgQJk6cyBNPPJHn51566SXGjBlzxvr169dnTwgYERFB3bp12bNnD4mJidltatSoQY0aNdi5cycpKSnZ66OiooiMjGTr1q25Hg/RsGFDwsLC2LBhQ64vuWnTpgQFBZ0xmWJ0dDQZGRls3rw5e53D4SA6OpqUlBS2b9+evT4kJIRmzZpx5MgR4uListeHhobSqFEjDh48SHx8fPZ69alofXI4HCQmJrJ+/frsosjf+2TF70l9Kpk+1a5dm2PHjuXKd3/vkxW/J/WpZPrUvHlznE5nrnz39z5Z8Xvyxz7tSNnBTQtv4ljmMWZeP5Pax3NPTH16n2Jiwli/viFVq8K4ccdp124LJ05AbGzJ9SnrqV27du3i2LFjAf09bV68mBqvvUbEL78A4PriC4wnniB2yxa/7ZMVv6fi9CnrmJ6amsrOnTt9tk81a9akoGxGCd3MnpmZmb0TW7ZsSdlSfgZIamoq1atXp1evXvz8889F3k7NmjVp0aIFs2fPzvP9vK70R0VFZY90AN86UwXWO/vmT33KGh7UokWL7CdD+Huf8opdfVKfbDYbhmGwdu3aXPnu732y4vekPpXclf7Tj+/+3icrfk/+1qfk9GS6fNyFTYc30a1uN/686U8cNsdp27GzcyfUq5cT+6RJNgYNshMR4Zk+uVwu1q9fT/PmzXPle0B9TzYbts8/x3jkEWyHD2PYbBj33ovthRcgPNw/+2TF76mErvRv2LCBli1bZp8A8MU+paamUqlSJZKSktyOUs/edkGL/h07djBv3jwuvPBCmjRpkuu9mTNncvvtt5OQkACYQ+cnTpxYoCvuJeXLL7/kpptu4uuvv2bw4MFF3k7Hjh3JzMxk1apVBWqfnJxMeHh4gXa2BB7DMEhLSyMkJOSMg4aI1SjfJZAo36WkuQwX/b7rx4xNM6gTVoeYO2OoXrF6rjY7d8Lw4bBkCWzaBDVqlE5sAZ/v27fD7bfD/PnmcqtW5v37nTp5NSzxDH/J98LUoQWeyO+DDz7gzjvvJDg4ONf6f//9l4EDB3Lo0CHq1q3Lueeey5EjRxgyZAirV68uWg+KYMqUKVSsWJE+ffoUeRuGYbBz506qVnU/UYpIYQUFBXk7BJFSo3yXQKJ8l5I0btE4ZmyaQbAjmOkDp+cq+DMz4fXXoUUL+PVXc/64v/4q3fgCOt9tNnPyhHLl4NVXISZGBb/FWS3fC1z0L168mNatW1OvXr1c6ydMmEBaWhrDhw9nx44drFu3jmnTpuF0OnnnnXdKPOC8HDp0iNmzZ3PddddRvnz5M97fvXs3mzZtOuMzp3vvvfc4dOgQl112mcdilcDicrmIjY09YyiRiBUp3yWQKN+lJP2y5ReemfcMAO9d+R4daudMir18ObRvD48+CsePQ/fu8M8/0Ldv6cUXkPm+dWvO6wYN4IsvYP1684so5duYpXRZMd8LPJHfjh07uOqqq85Y//vvvxMUFMS4ceOy11177bV07dqVRYsWlUyUZ/Htt9+SmZnpdtb+m2++mQULFuS6l6JevXoMGjSI6OhoQkJCWLx4Md988w2tW7fmrrvuKpW4RUREREQW7lqIgcG97e/l1ja3AmAY8NBDMGGC+ToiwrzaP3SoeeFZPCQxER57DD7+GBYsgK5dzfX9+nk3LpFiKHDRf+jQIapUqZJrXWJiItu2baNr166Ehobmeq9NmzbExMSUTJRnMWXKFKpVq0bv3r0L/JkhQ4bw119/MW3aNNLS0qhXrx6PPfYYTz31VJ6jBUREREREPOGVi1+hS1QXLm98efY6m80s9g0DbrwRxo8H3YHqQYYBX30FDz4IWSOCFy3KKfpF/FiBi/6yZcty+PDhXOtWrlwJQPv27c9oX6FChWKGVnB///13vu/Pz5p04xQffPCBh6IREREREcmfYRg4DSdl7Oaf49c0u4a4OMjIgEaNzDbPPw9XXw0XXeTFQAPBtm1wzz3w55/mcvPm5kR9F1zg3bhESkiB7+lv0qQJc+bMybVu1qxZ2Gw2unTpckb7ffv2FerZgSJWZLfbiY6Ozn4ciIiVKd8lkCjfpbheXvwyl315GQnHE3A64a234Nxz4dZbIetW4tBQ3yj4LZ3v774LLVuaBX9wMLz4IqxerYI/gFkx3wvck379+rF161buvvtu1q5dy9SpU5k8eTIVK1bMc+K7JUuWcM4555RosCL+KCMjw9shiJQa5bsEEuW7FNXv//7OU3OfYs6OOUz8aSmdOpmjyo8dA6cTjh71doRnsmy+h4VBWpp5dmXdOhg1Ciw2c7sUntXyvcBF/wMPPEB0dDSTJ0+mTZs2DBo0iJSUFMaMGXPGUP6YmBj+/fdfLr744hIPWMSfuFwuNm/ebKnZP0XcUb5LIFG+S1FtS9zG9dOux0gvT8vVsxgz5CpWroTwcJg0ybyNPCLC21HmZql8P3oUVqzIWb7xRvj9d/NKvy5YChbL9/8U+J7+8uXLs2TJEt58802WLl1KZGQkAwYM4Oqrrz6j7apVq7jmmmvo06dPiQYrIiIiIuKvjmUc47pvr+Po3ioETVnEusQaAAweDG++CTVqeDlAKzMM+P57uP9+c3njRqhUyZwx8dJLvRqaiKcVuOgHqFixIqNHjz5ru2HDhjFs2LAiByUiIiIiYiWGYXD7T7cTezCWarVrE1krkhNhMHEiXH752T8vxbBzJwwfDr/+ai43aQL79plFv0gAKFTRLyKF53A4vB2CSKlRvksgUb5LQTmdcONzf/AtP1AmqAzTrv+GWgPKUr06lOIDr4rFL/M9M9OcIfHZZ+H4cfNe/SefNH+Cg70dnfgwv8z3fNgMwzC8HYQ/S05OJjw8nKSkJMLCwrwdjoiIiIj4kLVrYdgwWLYMIq4Yz/PPhXBvh3u9HZb1HTsGF14Ia9aYy927w/vvQ7NmXg1LpKQUpg61znMIRHyQYRgkJyejc2sSCJTvEkiU73I2x4/DE09Au3ZmwR8aCs9eMZx72t/j7dAKzS/zvUIFiI6GypXho49g3jwV/FIgfpnvZ6GiX8SDXC4X27dvt9TsnyLuKN8lkCjfJT9//GE++v2VV8wR5v36mfPGjRwejM1m83Z4heY3+T5jBsTF5Sy/+SZs2gS33WZO2CdSAH6T74Wgol9EREREpIS89hpcdhns2AHlqyRgv+FarnzqE2rX9nZkFhYXB9deC9ddByNGmDP1A0RGQrVqXg1NxBeo6BcRERERKSHXXWeOLO8+eBXH76yPrelMGlZu6O2wrMnphAkToHlz+PFHKFPGHNJvoSu0IiVBRb+Ih4WEhHg7BJFSo3yXQKJ8F4ANG8y6M8s558CXCxaz+NyOEHyM8ZeOp3v97t4LsIT4XL6vWgWdOsEDD0BqKnTpYk7a98ILYLGZ16X0+Vy+F5Nm7y8mzd4vIiIiEnjS0uDFF8379k+ehCVLzLpzd9Ju2k1uR8LxBG5qdROfXfuZX97H79N+/RWuvtq8oh8eDq++CnfcAXZdz5TAodn7RXyEy+Xi8OHDlpoIRMQd5bsEEuV7YJszxxxF/sILZsF/1VVQpw6cOHmCvt/2JeF4Am1qtGHSVZMsUfD7XL736AH168PgweZEfcOGqeCXEuNz+V4C9K9DxIMMwyAuLs5Sj/wQcUf5LoFE+R6YDh2CW26B3r3h33+hZk2YOhV++gnq1oVP13zKyv0riSwXyQ+DfqBc2XLeDrlEeD3f9+2Dp54y7+EHKF8eYmLg66+hRg3vxCSW5fV894Ay3g5ARERERMTXuVzQtSts3mw+/e3ee83h/eHhOW3ubn83yenJdKjdgXqV6nkvWKtwOmHSJHjySUhOhlq1YPhw873Klb0bm4gfUdEvIiIiInIWdjs88YT56PdJk+D8889sY7PZePzCx0s/OCtau9Yctr9smbncsSNccIF3YxLxUxreL+JhoaGh3g5BpNQo3yWQKN+tLT0dnn8eZszIWXfLLeao8lML/j3Je7h75t2kZqSWeoylqdTy/fhx8+xKu3ZmwR8aCv/7H/z1F7RuXToxSMCz2vFds/cXk2bvFxEREbGWRYvMi8ybNpkjyjdvhooVz2yXlplG90+7s3zvcq5veT1f9fuq9IO1mgEDzIkSAPr2hbffhtq1vRuTiA/S7P0iPsLlchEfH2+p2T9F3FG+SyBRvltTYqL55Ldu3cyCv3p1GD8eKlQ4s61hGAz/ZTjL9y4nolwEL/Z6sfQDLiWlmu+jRpkz8//4I0ybpoJfSp0Vj+8q+kU8yDAM4uPjLTX7p4g7yncJJMp3azEMmDIFmjWDjz4y1911F2zcCIMGmRP3nW7Sykl8vOZj7DY73/T7hgaVG5Ru0KXIY/nucsEHH8BLL+Wsa9MGtm6FPn1K9neJFJAVj++ayE9EREREAtry5XDjjebr5s1h8uT854xbsnsJI38bCcBLF73ExY0uLoUoLWbDBvPMyuLFUKYMXHstnHuu+V4ZlSgiJUn/okREREQkoHXqBLfdBg0bwqOPQlCQ+7b7UvbR//v+nHSdZEDzATza5dHSC9QK0tLMZx2+8gqcPGneO/H889C4sbcjE7EsFf0iHmSz2YiIiMCW17hAEYtRvksgUb77t7/+Mov7777LuWU8a1j/2exP2Q9Ay2ot+fiajwMiB0os3+fMgbvvhn//NZevvhreeQfq1i1+kCIlxIrHd83eX0yavV9ERETEPxw9Ck8+Ce+/by4PHQqffFL47exL2UdaZhoNKzcsyfCsLTER6tWD1FSoWdN8DF/fvnlPmCAiZ6XZ+0V8hMvlYvfu3Zaa/VPEHeW7BBLlu38xDPOq/rnn5hT8t94Kr79e8G2kpKdkv64VWiugCv4i5/up1xYjIuCFF2D4cHOGxH79VPCLT7Li8V1Fv4gHGYZBYmKipWb/FHFH+S6BRPnuP3buhKuuMmfhj4+HJk1g3jz4+GOIjCzYNpbuWUq9t+rx3frvPBqrrypSvm/ZAr17mzs7y/33m8P5w8NLPkiREmLF47uKfhERERGxrPffh19/NSfne/ZZWLsWevQo+OfjU+Pp910/jqQd4dv131qqEPCI9HQYOxaio2HuXHjwwdxX/EWk1GkiPxERERGxlJMnoWxZ8/Xo0RAXZ/63WbPCbSfDmcGA7wewL2Uf51Y5l0+v+dRSk3uVuEWLYNgw2LTJXL70Upg4UcP4RbxMV/pFPMhms1GjRg39gSABQfkugUT57puSk2HkSOjVC7Jux61QAaZMKXzBD/DQHw+xePdiwoLDmDF4BqHBoSUbsJ84a74nJsIdd0C3bmbBX60afP01/Pab+RxEET9ixeO7rvSLeJDdbqdGjRreDkOkVCjfJZAo333PjBkwYgTs3Wsuz51r3lJeVJ+s/oR3V7wLwJS+U2gS2aT4Qfqps+b7nDk5zzy880545RWoXLl0ghMpYVY8vutKv4gHOZ1Otm3bhtPp9HYoIh6nfJdAonz3AqcT5s83ryDPn28uYw7dv/ZauO46s+Bv1AhmzSpewb/+4Hru+eUeAMb0GMNVTa4qdvh+y+nEOWcOB956C+ecOdn7nYyMnDb9+8N995nD+ydPVsEvfs2Kx3cV/SIelpKScvZGIhahfJdAMXs2XHxxbWbP9nYkAWL6dKhfn9k9X6D5Decxu+cLOOs1ZMJt/9C8Ofz4I5QpA6NGQWwsXHxx8X5d0ypNua/jffRp2oenuz1dMn3wR//td0fv3lR/8EEcvXtDvXowZIj5GITERLOdzQZvvw0XXujdeEVKiNX+ntHwfhEREZFCMAx4+mk7O3aE8PTTBpdconnKPGr6dOjfH8MwGMU0NtKcUYxjyd4L+PyTTFKBLl3MC8wtWpTMryxjL8Nrl7xGpisTuy1Ar5H9t9/PmHl/71746ivz9SefwMMPl35sIlIoKvpFRERECmHWLIiJMav8mBgbH36Y+wJn7doQFma+Tk7Oucc8LzVrQqVK5uuUFNizx33bGjVyRk0fOwa7d7tvW61azjPoT5wwn1XvTpUqULWq+TotDXbscN82MtLcNpiju7dtc9+2cmUzZoDMTNi61X3b8HCoVct87XLB5s3/veF0wr3/A6Mpi7mAFXQEYAUdmUsvJnMXMWG9uPO9m7HbHbDxtA1XrAhRUTnLmza5f3xc+fJMPbaCPk37EOQIgi1bKONueG9ICDRokLO8davZybwEB+eezG7bttxD409Vtiycc07O8o4d5peSF4fDvNqeZedO88vOi82WeybD3bvNJHKnSRO4//78H7UXEWG2ERHfZ0ixJCUlGYCRlJTk7VDEBzmdTiMhIcFwOp3eDkXE45TvEghcLsNo1swwwGWYFdGZP99/n9P+m2/ybpP189lnOW1//jn/thMn5rSdMyf/tq+9ltN26dL8244Zk9M2Njb/to89ltN227b82w4fntM2Pj7/trfemtM2JSX/tmAYDk4aHVhmuM7W8Morc3+BISFu234+6FyD5zAu+OgCIyMzwzAiI91vt2PH3NuNinLftkWL3G3NBMr7p0GD3G3btXPftlq13G27dnXftkKF3G0vu8x9W5vNMObNO/uXAGY7EYvxl79nClOH6kq/iAfZ7XYisy61iFic8l0CwaxZWY8gzz2ePzQUgoLM11n/zXqd3z+L4OCc12XL5t82JKTgbcuVy3ldpkzB2zoc+bctXz7ntd2ef9sKFXJe22z5t61YMfdydtv0dEhNIYOypBCe/b6TMqygI7O4hEuZZW7g1J2ZJWvIxakbzuPK+aqqmQxrag4v6NWgF2UdZc0r2e6Eh+derlwZjh/Pu23WUI5Tl93tjNMnwAsPd9/29Pjya3vqlwHmfnHX1maD/fvzfu90BW0n4kes+PeMzTDyG7cjZ5OcnEx4eDhJSUmEnf4/Fgl4TqeTrVu30rhxYxwOh7fDEfEo5btYlWGYo7cbN4ZOnWDVqpwJzMEslNu2hWXLdG9/iXK54KGHMCZMoBPLWEVbnKfcmeogk7asYhmdsM2bBz16FOnXJBxPoN3kduxO2s0Vja/g5+t/Dtz7+LPMnw89e569XTH2u4iv8pe/ZwpThwb4EU3E89Lc3YsnYkHKd7GaLVvgoougY0f45htYsSJ3wQ/m8ooV5igAKSFbtsAFF8CECcziElbQMVfBD6dc7a8yBLp2LdKvyXRlMmjqIHYn7eaciHOY0neKCn4w92edOu7PYtls5lwJRdzvIr7Oan/P6KgmIiIicpr0dBg7FqKjzYuZ6enwzDPmkPa82O0wejT5znsmhVC2LPzzD0bFUEZXeR87eU+oZ8fJ6PC3MexFuxr3xOwnmLtjLhXKVmDGoBlUCqlUjKAtxOGACRPM16cX/lnLb71lthMRn6eiX0REROQUCxdC69bw7LPmJOuXXQarV5uz67tceX/G5YK4OPeTsksBrF+f87pBA/j6azLWbGC3owEu8i4uXTiIOxZRpP0enxrPh6s+BODTaz+lRbUSet6fVfTtC1Onmo+jOFWdOub6vn29E5eIFJru6S8m3dMv+TEMg5SUFEJDQ7HpRk+xOOW7+DvDgLvvNp/3DlC9unmxc+BA8+JmXBwcOpTV1uDYsWNUqFAhO9+rVTPrISmkAwfgwQfh669hwQLo1i3X29n73ek0z74kJJjPGWzTBhyOYu33LYe38Me/f3Bfp/uK3w+rcjoxFi7kxI4dlGvQAFu3brrCL5bmL3/PFKYO1ez9Ih5ks9l0MkgChvJd/J3NljM7/bBh8PLLuSdTj4o69ZHvNuC0KeelcFwu+OgjeOwxOHrUvEdixYoziv6c/e6ADu1LNIQmkU1oEtnk7A0DmcOBrWdPyhdkYj8RC7Di3zMa3i/iQU6nk9jYWJynz/okYkHKd/FH27bBv//mLD//PCxeDJMmnfn0tFMp34tpwwbo3t08u3L0qPn4g+XL4eGHPfprnS4nN0y7gdnbZ3v091iN8l0CiRXzXUW/iIdZ6YAhcjbKd/EXGRnw0kvQsiXcdlvOvfoVK5qTxheE8r2I3njDnDRh8WLz+fHjx5vPO2zXzuO/+um5T/P1uq/p+21fjpw44vHfZyXKdwkkVst3De8XERGRgPLXX3DXXbBunbkcFATJyVCpklfDChw1asDJk3DVVfDOO1CvXqn82u/Xf8/LS14G4IOrP6ByuXyGcoiIWIiKfhEREQkIR4/Ck0+aQ/cNw5wLbvx4uPFG948jlxKQkGDeQ3H++ebyDTdArVrQo0ep7fjYA7EM/XEoAI92eZRBLQeVyu8VEfEFmr2/mDR7v+THMAzS0tIICQnx6dk/RUqC8l182aZN0LMnxMeby7feCq+9BpGRRdue8r0ADAM++wweeQTKloWNG70ynOLIiSN0+KAD245so3fD3vw25DfK2HXdqzCU7xJI/CXfNXu/iA8JCgrydggipUb5Lr6qUSPzkXphYeaV/h49ir9N5Xs+tmwxn384b565HB1tPpqvlIt+p8vJkOlD2HZkG/Ur1eebft+o4C8i5bsEEqvluybyE/Egl8tFbGwsrqwZokQsTPkuviQz0yzu09PN5bJl4aefYO3akin4le9upKebj0Bo1cos+MuVg1degZUroWnTUg8n05VJtQrVKFemHD8M+oHI8kUc2hHglO8SSKyY7zrVKSIiIpayfLn5JLh//jGH8z/7rLm+lOaLC1ypqdCxozmMH+DSS2HiRGjY0GshBZcJ5pNrPmFU11E0iWzitThERLxJV/pFRETEEpKTYeRIc764f/6BypWhQQNvRxVAKlY0i/7q1eHrr+G337xW8MenxuMyzKt0NptNBb+IBDQV/SIiIuL3fvgBmjeH//3PnD/uxhvNyftuvtnbkVmYYcBXX8Hu3Tnrxo83r/QPHuy1RyIkpSXR7ZNu9Pm6D0fTjnolBhERX6KiX8SD7HY70dHR2O36pybWp3wXb3nxRejbF/buNSfsmzULvvjCnLjPUwI+37dtg8sugyFDYMQI8wQAQESEOcTCS1yGixt/uJGtiVtZe2AtJ50nvRaLlQR8vktAsWK+W6cnIj4qIyPD2yGIlBrlu3jD4MHmrPyjRkFsLFx8cen83oDM95Mn4aWXoGVL8+xKcDB06pRT9HvZ2AVjmbllJsGOYH4Y9ANVK1T1dkiWEZD5LgHLavmuol/Eg1wuF5s3b7bU7J8i7ijfpbSsXg2vv56z3KgR7NplXvEvV650YgjIfP/7b2jb1jy7kpYGvXqZZ1meegp84IrYT5t/YsyCMQBMvnoy7Wq183JE1hGQ+S4By4r57v0jtIiIiEgBpKbCww9D+/bw6KPw118575Xy498Dz48/wgUXwLp1UKUKfP45zJ4NjRt7OzIANids5qYfbgLgvo73cfN5msxBRCSLHtknIiIiPu+XX+Dee3PmjBs4UDPzl6pLLjFn4u/aFV57zSz8fYRhGNww/QaS05PpWrcrb1zyhrdDEhHxKbrSL+JhDofD2yGIlBrlu5S0fftgwAC46iqz4K9XzzwB8O23ULOmd2OzdL7v2mUOp3A6zeVy5WDVKvjkE58q+MF8JN/kqybTuU5nvh/wPWUdZb0dkiVZOt9FTmO1fLcZho/MvOKnkpOTCQ8PJykpibCwMG+HIyIiYhlOJzRtak4U73DAQw/Bs89ChQrejszCMjNhwgR45hk4fhzefhvuu8/bURWIYRjYvPSYQBGR0laYOtSvh/fPnz+fnj175vne33//zfnnn5/v5/fu3cuDDz7IrFmzcLlc9OzZkzfffJOGDRt6IlwJQIZhkJKSQmhoqP4QEctTvpee3Um7STie4Pb9KuWrUDe8bilG5BkOB4weDe++C5MnQ+vW3o3n1P1uGAbHjh2jQoUK2fnu9/t9xQoYNgzWrDGXu3cvvUch5MNdvi+NW0pYSBjd6nWjbnhdHXc8SMd3CSRWzHe/LvqzjBw5kg4dOuRad8455+T7mdTUVHr27ElSUhKjRo2ibNmyvPnmm3Tv3p01a9YQGRnpyZAlQLhcLrZv3050dLTlhgmJnE75Xjp2J+2m6TtNSctMc9smpEwIm0ds9rsC9PhxGDsWOnaEvn3NdTffDDfeaJ4A8CYr73dSUuDpp+Gdd8DlgsqVzccj3HorePkP3oLs9yBHEFvv2+p/+92P6PgugcSK+W6Jor9r167079+/UJ+ZOHEiW7duZfny5dknDC6//HJatmzJG2+8wbhx4zwRqoiISLEkHE/ItwACSMtMI+F4gl8VQX/8AffcAzt2mPfqX3YZlC9v1py+8DeXVfc7YJ5ZmTHDfD1kCIwfD9WqeTWkLAXZ7xnODP/c7yIipcQyE/mlpKSQmZlZ4PZTp06lQ4cOuUYINGvWjIsuuojvvvvOEyGKiIjIaQ4cgBtuMIv8HTugTh14/32z4JdS8txz5uQJs2bBl1/6TMEvIiIlwxJX+m+99VZSU1NxOBx07dqV1157jfbt27tt73K5WLt2LbfddtsZ73Xs2JFZs2Zl38dxuvT0dNLT07OXk5OTAXA6nTj/m+HWZrNht9txuVycOk9i1vqsdmdbb7fbsdlsea7P6kdB1jscDgzDyHP96TG6W68+Fa1PhmEQFBSU6z1/71NesatP6lPWPW/BwcG54vH3Pvni93T6dtx56I+HmDFoBqFB5v/LJq2cxB/b/sBms53Rf4AP+nxAZIh5a9unaz7lpy0/Zffr9Pb/u/x/1K1UF6fTyTfrvuG7Dd9ltwVytX+196s0qdIEgGkbpvHF2i/MNi4bu+dfzIavb+HksYpgczLkjkTeeTWCSpUc/Lz5Zz5c9WGu33tqLE91fYp2Ndths9mYt3Meby97+4w+ZbV/pPMjdInqAsCSuCWMXzr+jD5lxT68/XB6NegFwIp9K3h5ycsAHDlxxN2uzuWhPx6iUkilM7Z/a5tb6dOkD4ZhsOXwFp6Y88QZfcoyqMUgbmh1Ay6Xi51HdvLgrAfz3AcA1za9llta34Ldbmdf0j7u+fWeM/qU1f7ycy7nzvNuw/7eexxNOsDQxutzfumzTbAdfhe+eRfDMOhZvyf3dTQn8MtwZXD9tOvz3GeGYdAlqguPdH4k+3f1n9o/zxyz2Wy0q9mOUReOyl43eNpgTrpO5tk+uno01zS55oz1eTEMI89/84F4jPBEn1wuFyEhIZbqkxW/J/WpZPrkdDoJCQnJ8/+5vtSnwszH79dFf1BQEP369eOKK66gSpUqbNiwgddff52uXbvy119/0aZNmzw/l5iYSHp6OjXzeNZP1rp9+/bRtGnTM95/6aWXGDNmzBnr169fT8WKFQGIiIigbt267Nmzh8TExOw2NWrUoEaNGuzcuZOUlJTs9VFRUURGRrJ161bS0nKGsDVs2JCwsDA2bNiQ60tu2rQpQUFBxMbG5oohOjqajIwMNm/enL3O4XAQHR1NSkoK27dvz14fEhJCs2bNOHLkCHFxcdnrQ0NDadSoEQcPHiQ+Pj57vfpU9D5lZGSwYcMGS/XJit+T+lQyfapQoUKufLdCn3zte/r3338piAW7FrA3fi8nk04CMH/jfH7a+ZPb9m+ffJud8WafFmxcwE/b3Ld96vynqFupLhs2bGDhxoXZJwjyMrDGQM7pdg4ZGRks3rA4p23c+fDRcPN1zZVw9TB6DLiH+PgLqVSpGRv2bch3u70jehOUEERERAS7k3bn2/bC8AsJPWqe/NiatpUfN//otm37iu2pmloVgOXxy/Ntm5cFuxbkub5rva7ZubfuyLp8421UvhE3tLqBPXv2sGrnqnzbVnZVpk+9PkRGRrJha/77rOLBNG4e+j/Kb9hARpiDnx7K5wTSCehRrgcOh4MGTRvkux9OpJ7g0oqXmr+jYsV826YcS+Hq8Kuzl2dunel2+H5yRjJtQvL+W+506enpuFwuHSM82KdmzZqxbds2S/XJit+T+lRyfUpOTvbpPuVVy7pjuUf2/fvvv7Rq1Ypu3brx+++/59kmLi6OunXr8sorr/DYY4/leu/jjz/m9ttvZ/Xq1bTOY5rgvK70R0VFkZiYmP2oBF86UwXWO/vmT31yuVwkJiZSqVKl7L74e5/yil19Up+yrigePnw4V777e5988XuK2RtDx486cjZPdX2KUReOItgRDMDi3YvZdHgTdpsdl+GCU3eBDW6IvoHyZcwx9Uv3LGXdwXVgw2x/WiwDWgwgonwETqeTlftXsnr/anMz9v+uLLtyNn5N02uoHlodgFX7VhOzb0X2e1+93I3q9Y7SY0AsjjIGVza+kpqhNXE4HMTGx/JX3F9n7Jus2C9pdEn2jO1bE7cyf+f8M/qUFXuvBr1oWNl8Ms+OozuYt3PeGX2y2W3YsHFh1IU0iTRHJuxO2s2fO/4EYNeRXYxbcvb5fp7q+hR1w+vm2gcAnet2pmXVlhiGwcFjB/lp809n9ClL21pt6VC7Ay6Xi8PHDzN94/Qz+pQluno059c5H7vdzpHjR/hufc4till9cqWdgJ9+psW3c7lwlwsjPJwT48bwRfvgXBP1nfr9NY5sTPd63QFw4eKTNZ+c0aes2OuH16d3w97mZw2DT/75JM8cs9vs1A6tzaWNLs1e/ck/n+T5bxUb1A6rTfXy1QuU7zF3xtC2ZlsdIzzUJ8Mwsh8LlvX7/b1PVvye1KeS6ZPL5SI5OZlKlSpxOl/qU2pqKpUqVSrQI/ssV/QDXH/99UyfPp3jx4/nOeNiQkICVatWZezYsYwePTrXexMnTmT48OFs2rQpzyv9pyvM8xEl8DidTmJjYy01+6eIO8r30rFq/yraTW531nYrh62kbc22pRBRwcydC489Zs4XV6eOt6MpPH/d7/zyC9x7L+zebS4PHAhvvWXOlugH/Ha/W4yO7xJI/CXfC1OHWmYiv1NFRUWRkZHBsWPH8nw/IiKC4OBg9u/ff8Z7Wetq1arl0RhFREQCQUICDB0KF10EK1eac8ZJKTl8GAYNMgv+evXMEwDffus3Bb+IiJQMv76n353t27cTEhKSfY/96ex2O9HR0cTExJzx3rJly2jYsGGek/iJiIh429I9S7Fhw8D9QL2QMiFUKV+lFKM6k2HA55/Dww+btafNZj6Sz1+fiFulfBVCyoTk+/g4X9jvGEbOkP3ISHjpJbPof+45qFDBq6EVhd/sdxERH+bXRf+hQ4eoWrVqrnX//PMPP/30E5dffnn2PRq7d+/m+PHjNGvWLLtd//79eeKJJ4iJicme6X/z5s3MnTuXRx55pPQ6IZanE0gSSJTvnhV7IJZH/3wUA4Oh5w3lvk735dmuSvkqXn1m+ZYtcPfdMG+euRwdDZMnw/nney2kYqsbXpfNIzaTcDwBMId/7tu3j1q1amUP//T2fic21tzxzz8PvcwnEHBf3jniL07f73nx+n4PEDq+SyCxWr779T39vXr1oly5cnTp0oVq1aqxYcMGJk+eTNmyZfn7778599xzAejRowcLFizINYFCSkoKbdq0ISUlhUceeYSyZcsyfvx4nE4na9asOeNkgju6p19ERErDkRNH6PBBB7Yd2Ubvhr35bchvlLH75rn7J56AV16BcuXMC8wPPghly3o7Kgs7ftws9F9/HTIzoV07WLEi1yR9IiJiLQFzT/+1115LQkIC48eP59577+Xbb7+lb9++xMTEZBf87oSGhjJ//ny6devGCy+8wOjRoznvvPNYsGBBgQt+kbNxuVzEx8efOSuxiAUp3z3H6XIyZPoQth3ZRv1K9fmm3zc+V/Cf8mAbRo+GW2+FdevMyfusWPD7TL7/8Yc5lOLll82C/7rr4McfVfBLifKZfBcpBVbMd7++0u8LdKVf8uMvs3+KlATlu+c8PfdpXlz0IuXKlOOv2/+idY3W3g4pW2KiWdhv2ACLF4Pdry8nFJzX8/3AAXMIxddfm8t16sA778A115R+LGJ5Xs93kVLkL/keMFf6RURErG7mlpm8uOhFAD7s86HPFPyGAVOmQLNm8NFH8PffsHCht6MKIAsXmgW/3Q7332+edVHBLyIiefCtsYEiIiKSS5eoLlza6FKaV23ODdE3eDscALZtMx/9PmuWudy8OUyaBBde6N24LO/ECXOiBID+/eGRR8xH8v03IbGIiEheVPSLeJDNZiMiIgKb7q2UAKB894yIchH8csMv+T6ir7RkZsJrr8HYsZCWBsHB5v37jz4KQUHejq50lWq+p6WZzzr8+GP45x/zUXw2m/lliJQCHd8lkFgx3zW8X8SD7HY7devWzX58pIiVKd9Ljstw8cuWX7KXHXaHz0zcN3WqWYP26mU+Ie6ppwKv4IdSzPe5c6FVK3N2/r17zXsqREqZju8SSKyY79bpiYgPcrlc7N6921Kzf4q4o3wvOWMXjOWqr69i5G8jvR0KSUlmkQ9Qpgx88AF89hnMng2NG3s3Nm/yeL4nJMDQoXDRRbB1K9SsCd9/D/fd55nfJ5IPHd8lkFgx31X0i3iQYRgkJiaih2RIIFC+l4yfNv/EmAVjAGhfy3v3ahuGeVX/3HPhxRdz1rdtCzffrCfCeTTfP//cnCHxs8/MHX3vvbBxo3kff6DvePEKHd8lkFgx31X0i4iI+IhNCZu4cfqNANzX8T5uPu9mr8SxaxdcfTUMGAD798OMGXDypFdCCUwLF8LhwxAdDUuWwLvvQni4t6MSERE/paJfRETEBySnJ3Pdt9eRkpFC17pdeeOSN0o9hsxMGD/enI3/l1/Me/WffRZWrICyZUs9nMCRng6HDuUsv/oqvPEGrFwJnTt7Ly4REbEE35gVSMSibDYbNWrUsNTsnyLuKN+LzmW4uGXGLWxK2ETt0Np8P+B7yjpKt8pevx5uuglWrzaXu3eH9983R5nLmUos3xctgmHDoF49+O03c/h+RAQ89FDJBCpSAnR8l0BixXzXlX4RD7Lb7dSoUcNSs3+KuKN8L7q/4/7mx00/EuQIYvqg6VSvWL3UY6hQATZvhsqV4aOPYN48Ffz5KXa+JybCHXdAt26waZN5tmXPnpINUqSE6PgugcSK+W6dnoj4IKfTybZt23A6nd4ORcTjlO9Fd0HdC/h1yK981OcjOtbuWGq/N+uqPkD9+ubk8Js2wW23ab64sylyvhsGfPWVOUPiRx+Z6+6805yoLyqq5AMVKQE6vksgsWK+a3i/iIelpKR4OwSRUqN8L7rLzrms1H7Xnj3mk99mzID5882h/ABXXFFqIVhCofP94EHzHopZs8zl5s1h0iS48MKSD06khOn4LoHEavmuK/0iIiJekJKewuCpg9mWuK3UfqfTCW+/bV5knjEDypSBtWtL7ddLWBjs3AnBwfDCC+ZQCxX8IiLiYbrSLyIiUsoMw+DWH29l2sZprDu4jrX3rMVu8+x5+NWrzfniYmLM5c6dzYvM0dEe/bWyahW0amWeYQkJgSlTzMfvNW7s7chERCRA6Eq/iAfZbDaioqIsNfuniDvK94J7ZckrTNs4jbL2snxw9QceL/jHjYMOHcyCPzwc3nsPFi9WwV8cZ833pCS4915o394cXpGlfXsV/OJ3dHyXQGLFfNeVfhEPstvtREZGejsMkVKhfC+Y3//9nVFzRgHwzhXv0DnK889hr1/fHNo/cCC89RbUrOnxX2l5bvPdMGDaNBg5EvbvN9dtK71bOEQ8Qcd3CSRWzHdd6RfxIKfTyaZNmyw1+6eIO8r3s9uWuI3rp12PgcGdbe9kWLthxdug02nOxPf11+Z//9v3+/ebV/KzXH89LFkC336rgr9EOJ0458xh7xtv4JwzJ3u/s2sXXH01DBhgfgmNG8PcufDuu96NV6SYdHyXQGLFfFfRL+JhaWlp3g5BpFTMng1XXFGf2bO9HYlvOpZxjOu+vY6jaUfpVLsT/7v8f8Xb4PTpUL8+s3u+QPMbzmN2zxdw1WvAe8NW06wZ9O8PR46YTW026NKl+H0Qsve7o3dvaj/yCI7evc2hFI88Ys7G/8svULYsjB5tzpLYs6e3IxYpEfp7RgKJ1fJdw/tFRKTYDAOeftrOjh0hPP20wSWX6Dnvp0vNSKV82fJUr1CdaQOnEVwmuOgbmz4d+vfHMAxGMY2NNOcB3qLi3hSWfdAGgKZNzaK/cuUS6oBk73cMI/f6vXth/Hgz6bt2NWdIPPdc78QoIiJyGhX9IiJSbLNmQUyMWeXHxNiYNQsuvRSOH4fYWPefq1kT6tY1X6enw5o17ttWqwYNGpivT540J0V3p0oVaNTIfO105sxYn5eIiNzzqi1b5r5tpUpmMZ1lxQpwufJuGxpqXvjNsmdzdV47dyF7U/ayZ2Nt9pzStkIFaNkyZ3n1asjIyHu75YKctLr/fjAMZnEJK+gIwHrMDVQkhXGhL3PvG1fiSCoHtMn58Lp1cOxY3hsuUwbatctZ3rAB3D2n2G43ZwbMsmmTOXGdO5065bzeuhUSE923bd8eHA7z9bZtkJDgvm3btuZVdYAdO+DgQfdtW7c2H5UHsHt3zv32eYmOhvLlzdd79phFvdMJ99xzZsEP5jqbDapWhTlzcmISERHxBYYUS1JSkgEYSUlJ3g5FfJDL5TKSkpIMl8vl7VBEPMblMoxmzQwDXAYYhs3mMjp0MNevW2cYZkWU98+jj+ZsZ8eO/Nvee29O2wMH8m97yy05bVNT8287YEDu/uTX9oorcrctV8592+7dzTYJxxIMwzCMKlXct+3QIfd269Vz37Z5PbNDLjA6sCx7v4NhVOKwsZvaOY3r1cu94fbt3W+4atXcbbt3d9+2fPncbS+/PP8dd6r+/fNve+xYTttbbsm/7cGDOW3vuSf/tjt25LR95JH8265fn9P22Wfzb3v6z7x5hojV6O8ZCST+ku+FqUN1pV/Eg2w2G2FhYd4OQ8RjEhNhyBDzQi+YV/oNw8aKFebV/wYNzNud3Tl16HmZMvm3PXUiXbs9/7ZVquS8ttnyb1u1au7l/NpWr557uV49cHfbX40asOPIDjp80IFh7YZRt+6LVKyY9z0PtWrlXq5Tx/3tEbVDkwFyXeXPcpQINtCCKPaaO6FOnTN/kbsOnj5TcY0a7tuWK5d7uXr1/HfcqapVy7/tqR2vUiX/tvZTpiaKjMy/bZlT/uSpXDn/tqdeqa9UyWybmpr/qIMs+Y0gEPFT+ntGAokV891mGHmNU5OCSk5OJjw8nKSkJMslhxSf0+lkw4YNNG/eHEfWcFURCzAMc8L4Bx6AQ4fOfN/hMEdeL1sWuPf2Hz95nAs+voA18WtoX6s9i25dREiZkOJt1OWCxx/HeP11OrGMVbTFecqdeg4yacsqltEJ27x50KNH8X6f5Jg/v2CT8mm/iwXp7xkJJP6S74WpQzV7v4iHWelxHyJZnn3WvMKfV8EP5u3PWVf7A5FhGAz7eRhr4tdQtXxVpg+cXvyCf+NGs5h8/XVmlb2KFXTMVfADOCnDCjoyq8oQc0I5KTldu+Y/BMNmg6go7XexLP09I4HEavmuol9ERArtllvMUc+1a+ceYX0qu918alkgjiebsGwCU2Kn4LA5+H7A90SFRxV9Y2lp5lmW886DRYswypVndNgE7OT9B4kdJ6PD38aw++7VCb/kcMCECebr0wv/rOW33sqZhFBERMRHqOgXEZGz+vtvePnlnOVGjcxJ2DMz3c9e73JBXJz7Weitat6OeTwy6xEAxl86nu71uxdjY/PMYn/sWPORBVdeScaaDewu0xAXeReXLhzEHYsIuP1eKvr2halTzbNdp6pTx1zft6934hIREcmH7ukvJt3TL/kxDIO0tDRCQkKwBeqNzeLXjh6FUaPg/ffNK/aLFsGFF+a8HxeXM8TfMAzS09MJDg7Ozvdq1c6cS87KktKSaPy/xhw6foibWt3EZ9d+VvR/+1OnwoAB5usaNeDtt81nxNtsOfvd6TSf75eQYE5616YNOBwBt99LndOJsXAhJ3fvpmzduti6ddMVfrE0/T0jgcRf8r0wdaiK/mJS0S/5MQwDl8uF3W736YOGyOkMw6w5R46E+Hhz3dCh8NpruWfGz/0Z5TvAV7Ff8V7Me8y6cRblypY7+wfcOXHCvMrfuze89BKEh5dckFJsyncJJMp3CST+ku+ayE/ER7hcLmJjY3G5G/8s4oN27oSrr4aBA82Cv0kTc5T5J5+4L/hB+Z7lhugbWDh0YeEL/i1b4L77zKv3YD4Wb/VqmDhRBb8PUr5LIFG+SyCxYr6r6BcRkWyZmeYE8b/8AkFB5vxx//yjJ5CdzfSN04lPjc9eLtSVgfR0eP55aNUK3nkH3n03570KFUowShEREQlEZc7eREREAkWZMuaccR99BJMmQbNm3o7I9y3ctZBBUwdRrUI1Vty5glqhtQr+4UWL4K67zMfxAVxyCVx1lWcCFRERkYCkK/0iIgEsJQXuvx+mTctZd9NN5nB+Ffxntyd5DwO+H0CmK5Nu9bpRs2LNgn0wMRHuvBO6dTML/mrV4Kuv4PffoWFDzwYtIiIiAUUT+RWTJvKT/PjLRCASmGbMgBEjYO9eqFkTtm0zbyMvqkDL97TMNLp/2p3le5fTqnor/rrtLyoEFXA4fp8+8PPP5us77zSfhxgR4blgpcQFWr5LYFO+SyDxl3zXRH4iPiRDD8sWH7NnD1x3nfmzd695YfnTT4tX8GcJlHw3DIPhvwxn+d7lVA6pzA+Dfih4wQ/wwgvmPfwLF8LkySr4/VSg5LsIKN8lsFgt31X0i3iQy+Vi8+bNlpr9U/yX0wn/+x80b25e5S9TBp58EtatM28lL65AyvdJKyfx8ZqPsdvsfNP/GxpWzmdI/smT8MorMGZMzrpWrWDNGuja1eOximcEUr6LKN8lkFgx3zWRn4hIgFi6FEaONF937mxO1Bcd7d2Y/FGmK5P3Y94H4KWLXuKSRvmcMVm6FIYNg9hYcDjghhugcWPzPR8eMigiIiLWoaJfRMTCDCOntrzgAhg+HFq2NOtQu8Z6FUkZexkW3rqQj1Z9xAPnP5B3o6QkcxjF+++bX0JkJIwfD+ecU6qxioiIiOhPPhEPczgc3g5BAtQvv5ijyOPicta98w7cfbfnCv5Ayfew4DAe7PzgmRP8GAZMnQrnngvvvWcuDx0KmzbBzTfr6r7FBEq+i4DyXQKL1fJds/cXk2bvFxFfs3+/+Ri+7783l4cNM4fyS/GM+HUEDSs35MHz8yj2sxw8CI0aQWqqOYx/0iTo2bN0AxURERHLK0wdquH9Ih5kGAYpKSmEhob69CM/xBpcLrPGfOIJSE42byF/6CF49tnS+f1WzvcPVn7AuyvexYaNnvV70qZmm5w3Xa6coRPVqpmT9h04YA7vDwnxTsDicVbOd5HTKd8lkFgx3zW8X8SDXC4X27dvt9Tsn+KbYmPNe/bvvdcs+Dt0gJgYePVVqFCIJ8kVh1XzfemepYz4bQQAL/R6IXfBHxMD7dvD7Nk56+6915ypXwW/pVk130XyonyXQGLFfFfRLyJiAVOmmBPFV6wIb78Nf/8NrVt7Oyr/F58aT7/v+pHhzKDvuX158sInzTdSUuCBB6BTJ1i9Gp56yrx/X0RERMTHaHi/iIifOn4cypc3Xz/zjDlh/FNPQZ063o3LKjKcGQz4fgD7UvZxbpVz+fSaT81hfj/+CCNGwJ49ZsMhQ8yZ+S0yBFBERESsRVf6RTwsREN8pYQdOGDWmRddZN5ODmbx/9573i/4rZTvD/3xEIt3LyYsOIwZg2cQeigJrrsOrr3WLPgbNoQ//oAvvzTv5ZeAY6V8Fzkb5bsEEqvlu4p+EQ9yOBw0a9bMco/9EO9wueDDD82nwX31FSxbBkuWeDuqHFbL9yaRTShrL8uUvlNoEtnEvH9ixgwoU8acLTE2Fi65xNthipdYLd9F8qN8l0BixXzXI/uKSY/sk/y4XC6OHDlC5cqVsXvqwegSEDZuhLvugkWLzOXWrWHyZHPCPl9hxXyP27eJqFrNzAXDMO+fuP56iI72bmDidVbMdxF3lO8SSPwl3wtTh/puL0QswDAM4uLi0Lk1KaqMDPORe+edZxb85cvDG2/AihW+VfCDNfI94XgCSWlJcOwYPPooUe16QkKC+abNBuPGqeAXwBr5LlJQyncJJFbMd03kJyLiwxwO+OUXOHkSrrwS3n0X6tXzdlTWdNJ5kv7f9Wf/gX/58SuDZmv3mW98/z3cc493gxMREREpIhX9IiI+JiEBKlSAcuXMov+DD2DbNujXTxPEe9KjM+5lwa4FVEwHYx/m2ZWJE+GKK7wdmoiIiEiRaXi/iIeFhoZ6OwTxE4YBn30GzZrBCy/krG/TBvr394+C31/z/cu3bmPCug8B+PxHO+cOfQTWr1fBL/ny13wXKQrluwQSq+W7JvIrJk3kJyIlYcsWuPtumDfPXG7b1pydv4zGY3nc6v2r6TKpA2k2J09vrcnzj/xqzpQoIiIi4qM0kZ+Ij3C5XMTHx+PKepi6yGkyMuD556FVK7PgL1cOXn7ZfDqcvxX8fpXvJ07AgQMkHE/gum+vI83m5IqgFjz3yU4V/FIgfpXvIsWkfJdAYsV8V9Ev4kGGYRAfH2+p2T+l5Pzzj1lfPvMMpKebj3xftw4efxzKlvV2dIXnN/n+55/QsiXcfDMP/fEQu5J2cU7EOUx5cDGOskHejk78hN/ku0gJUL5LILFivvvZdSQREeuoVAl27YJq1eCtt2DwYP+4b99vHTwIDz4IX31lLqen83r0qySeSOSV3q9QKaSSV8MTERER8QQV/SIipcQwzPv0zz/fXK5XD374Adq3h4gI78ZmaYYBH38Mjz4KR46YZ1buuw9eeIFqoaHMPGemtyMUERER8RgN7xfxIJvNRkREBDZdvg1427fD5ZdD584wf37O+ksusU7B75P5vn8/9OgBd9xhFvytW/PPn1/w5e0dwGIz80rp8sl8F/EQ5bsEEivmu4p+EQ+y2+3UrVsXu13/1ALVyZPwyivmLeR//AHBweZM/Vbkk/keEQHx8VC+PLz+OokL/+C6daO56Yeb+GDlB96OTvyYT+a7iIco3yWQWDHfrdMTER/kcrnYvXu3pWb/lIJbuhTatYMnnjAni+/VC9auhWHDvB2ZZ/hMvv/9N2Rmmq+Dg+Hrr2H9epwPPsD1P97EjqM7aFCpAf2a9/NunOLXfCbfRUqB8l0CiRXzXUW/iAcZhkFiYqKlZv+UgnnmGejSBWJjITISPvsMZs+GJk28HZnneD3fDx+GW281d/yECTnr27aF+vV5eu7TzNo2i/JlyzNj8AwiylnkvgrxCq/nu0gpUr5LILFivqvoFxHxgHPPNeePGzoUNm2Cm2/WzPweYxjw+efQrBl8+qm5o+PjczX5fv33vLzkZQA+7vMxraq38kKgIiIiIqXPb4v+FStWMGLECFq0aEGFChWoW7cuAwcOZEsBbpb99NNPsdlsef7En/aHoohIQezalXuCvsGDYeVK+OQTqFLFa2FZ39at0Ls33HILJCSYkycsWQKvvZbdZN3Bddz6460APNrlUQa1HOStaEVERERKnd8+su+VV15hyZIlDBgwgFatWhEfH88777xD27ZtWbp0KS1btjzrNsaOHUuDBg1yratUqZKHIpZAZLPZqFGjhqVm/5TcMjPh7bdh9GioWBE2bjTnjrPZzFHlgaTU8/3LL81Z+dPTISQEnn0WHn4YypbN1WzujrkcO3mM3g17M+6icaUTm1ieju8SSJTvEkismO9+W/Q/9NBDfPXVVwQFBWWvGzRoENHR0bz88st8+eWXZ93G5ZdfTvv27T0ZpgQ4u91OjRo1vB2GeEhMjDkp3+rV5nK7dpCSYp1H8BVWqed727bgcpnPPXzvPWjYMM9mIzuNpGHlhpxf53zK2P32f3viY3R8l0CifJdAYsV899vh/V26dMlV8AM0btyYFi1asHHjxgJvJyUlBafTWdLhiQDgdDrZtm2bcsxiUlLggQegUyez4K9UCT74wBzeX6+el4PzIo/n+5EjMHVqznLz5uY9FL//nmfB73TlxHFVk6uoUl73WUjJ0fFdAonyXQKJFfPdUpc8DMPgwIEDtGjRokDte/bsSWpqKkFBQVx66aW88cYbNG7cON/PpKenk56enr2cnJwMmMmRlRg2mw273Y7L5co162PW+tMTyN16u92OzWbLcz1wxmMk3K13OBwYhpHn+tNjdLdefSpanwzDIDk5Odd7/t6nvGIPpD6lpjqIjjaIizOHfF1/vYvXXzeoVcuM3en0vz6V1PcEnJHvJdInw8D+3Xfw4IOQkIBr6dLseyfs/93K5TptOz9t+YmXF7/Mt/2+JSo8qsh9suL3pD6VTJ/yOr77e5+s+D2pTyXTJ5fLleeFMn/ukxW/J/WpZPrkdDpJSUnBMIw8j/G+0qfCPF3AUkX/lClT2Lt3L2PHjs23Xfny5Rk6dCg9e/YkLCyMlStXMn78eLp06cKqVauIiopy+9mXXnqJMWPGnLF+/fr1VKxYEYCIiAjq1q3Lnj17SExMzG5To0YNatSowc6dO0lJScleHxUVRWRkJFu3biUtLS17fcOGDQkLC2PDhg25vuSmTZsSFBREbGxsrhiio6PJyMhg8+bN2escDgfR0dGkpKSwffv27PUhISE0a9aMI0eOEBcXl70+NDSURo0acfDgwVyTGqpPReuTw+EgMTGR9evXZxdF/t4nK35Phe1T9+4nmT/fYNSoPXTunEJycgi1avl3n0rie6pduzbHjh3Lle/F7VPQ3r3UGTeOsL/+AiCtQQN2bdnCif/u28+rT7uO7eLmhTeTmpHKi3+8yPBzhxe5T1b8ntSnkulT8+bNcTqdufLd3/tkxe9JfSqZPlWrVg2AXbt2cezYMUv0yYrfk/pUMn3KOqanpqayc+dOn+1TzZo1KSibYZEHEG7atIlOnTrRokULFi1ahMPhKNTnFy9eTLdu3Rg2bBjvv/++23Z5XemPiooiMTGRsLAwwLfOVIH1zr75U5+cTiexsbG0aNEiOyf9vU95xW7lPp086eL9921ceaVB/fpmjEePGjgcLsqX988+eep7MgyDtWvX5sr3IvcpLQ3bm29ie/55bCdOYAQFwVNP4XrkEQgOdtunpLQkOn/cmS2JW+hRrwe/3fAbZR05E/vpe1KfSvJK/+nHd3/vkxW/J/Wp5K70r1+/nubNm+fKd3/ukxW/J/Wp5K70b9iwgZYtW2afAPDFPqWmplKpUiWSkpKy61B3LFH0x8fHc8EFF3Dy5EmWLl1KrVq1irSdzp07c+jQIf79998CfyY5OZnw8PAC7WwJPC6XiyNHjlC5cuXsg4r4jzVr4K67YPlyuOIKmDnTnJVf8lZi+W4Y0L07LFpkLvfsCe+/D02a5P/7DRfXfnMtP2/5maiwKGKGxVCtQrWixyGSDx3fJZAo3yWQ+Eu+F6YO9d1eFFBSUhKXX345R48e5ffffy9ywQ9kX7EXKSl2u53IyEifPmDImY4dg0cfhfbtzYI/PByuvtrbUfm+Est3mw0GD4bISPj0U5gz56wFP8DzC57n5y0/E+wIZvqg6Sr4xaN0fJdAonyXQGLFfPfrnqSlpXH11VezZcsWZs6cSfPmzYu1ve3bt1O1atUSik7EHB60adOmM4bjiO/69Vdo0QJefx2cThg4EDZuhLvv1lX+sylyvhuGOSv/nDk56+66CzZvhltuKdCOn7llJs8teA6A9696n/a19DhW8Swd3yWQKN8lkFgx3/226Hc6nQwaNIi///6b77//ns6dO+fZbv/+/WzatImTJ09mrzt06NAZ7X799VdWrlzJZZdd5rGYJTCdOhGH+LZvvoErr4Rdu8xH7/3yC3z7LRRinpSAV+h837XLHEYxYADccYc5zALA4TCv9BdQ86rNOa/6eYzoMIKhrYcWLgaRItLxXQKJ8l0CidXy3W9n73/44Yf56aefuPrqq0lMTOTLL7/M9f6NN94IwJNPPslnn33Gjh07qF+/PgBdunShTZs2tG/fnvDwcFatWsXHH39MVFQUo0aNKu2uiIiPuOYaaNYMrroKnnsOKlTwdkQWlpkJb78No0fD8eNQtizcdJNZ7BdBw8oN+ev2vyhj99v/rYmIiIh4hN/+dbRmzRoAfv75Z37++ecz3s8q+vMyaNAgfvnlF2bNmsXx48epWbMmd955J88++yzVq1f3VMgi4mPWrYP//Q8mTjRrzXLlzMn7TpkcXjxh5UoYNgxWrTKXu3aFSZPg3HMLtRmX4WLlvpV0qN0BgPJly5/lEyIiIiKBxxKz93uTZu+X/BiGQUpKCqGhoWc88kO858QJeP55eO0184LzhAkwcqS3o/J/Bcr39euhVStwuaBSJfNLuO02KMJkOS8ufJHR80bz0kUv8fiFjxcveJFC0vFdAonyXQKJv+R7YepQv73SL+IPbDabTgb5mD//NCfl277dXL72Wujb16shWUaB8r1FC+jTB8qXh/HjoYijq37d+iuj543GwKBK+SpF2oZIcej4LoFE+S6BxIr57rcT+Yn4A6fTSWxsrKVm//R5TifMnw9ff23+9799f/AgDBkCl1xiFvy1a8MPP5g/dep4NWJrcDpxzpnD7ldewTlnTvZ+Z+9ecwb+gwdz2n77LUyZUuSC/9/Ef7lh2g0YGNzd7m5ub3t7CXRApHB0fJdAonyXQGLFfFfRL+JBs2fDNdc0ZvZsb0cSIKZPh/r1md3zBZrfcB6ze74A9evD9OkMHQpffWU+/W3kSPMxfNde6+V4reK//e7o3Zu6TzyBo3dvc7/fcYd5n/7nn8Ojj+a0Dwoq8q9KzUjl2m+uJSk9iS5RXZhw+YTixy9SRFb6g1DkbJTvEkislu8q+kU8xDDg6aft7NgRwtNP29HsGR42fTr074+xZw+jGMdGmjOKcRh79kL//rzcezYdOsCyZeY9/KGh3g7YIv7b7+zZk3v9nj3w0UeQkgLnnw+PPFLsX2UYBrf+eCvrD62nZsWaTB0wlSBH0U8giIiIiAQC3dMv4iGzZkFMjDn5R0yMjZdfhg4dcreJjIQ2bXKW583LGRV9ukqVoH37nOUFC+DkybzbhoZCp045y4sXg7vHjVaoAJ075yz//XfOo9JPFxICF16Ys7x8OSQn5922bFno3j1neeVKOHIk77Z2O/TqlbO8Zg0kJOTdFuCii8wr9gBr18LB/U6463swerGC9qygIwAr6MgsLuZS/qTVW7ex7OeZ2A4dBHcjL7p1y7kKvWnTmYXsqS64wJzuH2DrVvN58+6cfz5UrGi+3r49Z0KBvHToAOHh5utdu8xtu9O2LUREmK/j4mDzZvdtzzsPqlY1X+/bBxs2uG8bHZ0z9P7AAYiNzbud0wkjRpDvGa3KlWHhQjMhiumPbX8wdcNUytrLMnXgVGqG1iz2NkVEREQsz5BiSUpKMgAjKSnJ26GID3G5DKNDB8Ow212GWRHl/XP55bk/V6GC+7bduuVuW7Wq+7bt2uVuW7+++7bnnpu7bYsW7tvWrZu7bYcO7ttGRuZu26OH+7blyuVue+WV7tuCuX+zDBiQX1uXEc0aw5W14tJL89/wgQM5Gx4+PP+227fntH300fzbxsbmtH3uufzbLluW0/a11/JvO3duTtt3382/7c8/57T99NP82377bU7b77/Pv21BfubNM0rK5JjJxuSYySW2PZGicrlcxvHjxw3XqQckEYtSvksg8Zd8L0wdqiv9IiXM5TJniF+xAiD3Yz4aNMg9rLxBg9yfbdnSfJxcXho1yr3cvLn7K+eNG+debtYM3E1C2rBh7uUmTcxn1uel5mkXVhs3hvT0vNtWqpR7uVEjSEzMu21ISO7lBg3Mp7oVRL160KruEdi9mxRC2cGpHbIRy3nM4hIuZZY5Y3x+Gy5zyiGxdu382556X3rNmvm3PbWD1avn3zZr9ACYV+bza1uhQs7ryMj8256aeJUr5982a6RB1mt3bY8cMUcYnM3+/WdvU0B3truzxLYlUlxBxZifQsTfKN8lkFgt322GoTuNi6Mwz0cUazMMmDYNRo0y67b163MP1Xc4zNHYy5blDE2XEmAYMGoUxssv04llrKItzlPuXHKQSVtWsYxO2ObNgx49vBer1cyfDz17nr1dMfb7sYxjPDH7CZ7r8RyR5SOLtA0RT8ia3Tk6OhqHuzOlIhahfJdA4i/5Xpg6VBP5iZSAXbvg6qthwADzFuy1a8+8N9/pNK/+z5rlnRgt6+BBeOcdZnEJK+iYq+AHcFLGvLe/yhDo2tVLQVpU167m8w7dncWy2SAqqsj73TAM7vz5Tt5Z8Q5XfX0VOkctIiIiUngq+kWKITMTxo83h9r/8os5OrxmTXNiurzY7TB6tHlxWorh1DMq1atjvPY6oyMmYifvWRDtOBkd/jaG3XfP1volh8N8FAKcWfhnLb/1lvv7Rc7izaVv8vW6ryljL8OrvV/FpiEyIiIiIoWmol+kiGJioGNHePhhOH7cvJgZE2Pe0+9y5f0Zl8u8BTojo3RjtZTFi817zP/8M3tVxq13sbtsI1zkXVy6cBB3LEL73RP69oWpU805EE5Vp465vm/fIm127o65PPrnowC8delbdK2nURoiIiIiRaF7+otJ9/QHriefhJdfNiese+01uO0280p+XBwcOmS2MQwDl8uF3W7PvkpZrZpZD0khHTkCjz8OH3xgLnfuDH/9lf129n53OmH1avOZf1WqmM9EdDi03z3N6cRYuBBj3z5stWph69atyFf4dx3dRbvJ7Th84jBDWw/l4z4f6yq/+Jy8ju8iVqV8l0DiL/lemDpURX8xqegPLCkpOZOgHz8OTz0FTzyR80jz0xmGQVpaGiEhIT590PBphgHffAMPPGDevw9wxx3wyis5z6gXn1AS+X7i5Aku+PgCVsevpn2t9iy6dREhZULO/kGRUqbjuwQS5bsEEn/Jd03kJ1LC9u41Ryn37p1zO3n58vDmm+4LfgCXy8XmzZtxuRvvL/nbsQMuvxxuuMEs+Js1gwULzKv9Kvh9Tknk+/7U/SSlJ1G1fFWmD5yugl98lo7vEkiU7xJIrJjvZc7eRCRwOZ0wcaJ5RT8lxZyob/lyc2S5lIJVq+CPPyAoCJ5+Gh57DIKDvR2VeFDDyg1ZcecKdhzZQVR4lLfDEREREfF7KvpF3FizBoYNMx+zB2ahP2kSREd7NSzrS0qC8HDzdd++8MwzMGQINGni3bjEo06cPEG5suUAiCgXQUQ5jeQQERERKQka3i9ymvR0ePRRaN/eLPjDwsyr/YsXF63gdxRxMrOAk5QEw4ebxX1CgrnOZoMxY1Tw+5Gi5PvupN00/l9jJsVM8kBEIp6j47sEEuW7BBKr5bsm8ismTeRnPU6neVV/xQoYMMB8DHnNmt6OysIMA6ZNg5EjYf9+c92HH8Ltt3s3LikVJ06eoOsnXVm5fyWta7Rm2R3LCHIEeTssEREREZ+mifxECik+Hk6cMF87HOY8cTNnwnffFa/gNwyD5ORkdG7Njd27oU8f8+zK/v3QuDHMnauC308VNt8Nw+CeX+5h5f6VRJaL5IdBP6jgF7+h47sEEuW7BBIr5ruKfgloLhe8/745KfwLL+SsP+88uPLKkti+i+3bt1tq9s8S89Zb0Ly5eXalbFkYPRrWroWePb0dmRRRYfN94oqJfPbPZ9htdr7t/y31K9X3bIAiJUjHdwkkyncJJFbMd03kJwFr3Tq46y746y9zef58c2i/xW7h8V2bNsGxY3DhheYMic2bezsiKUWLdi3igT8eAODV3q9yUcOLvBuQiIiIiEXpSr8EnBMnYNQoaNPGLPgrVjTv21+4UAW/R6Wm5tyzD/DSS/Dxx7BggQr+AHPo2CH6f9+fTFcmg1sO5qHOD3k7JBERERHLUtEvASUmBlq2NOvNzEy45hrYsMGcQ85TBX9ISIhnNuxPfvrJLOyHDjUn7gOoXBluvRXsOgxZSUHyvUr5KjzQ6QHa1GjDh1d/iM1mK4XIREqeju8SSJTvEkislu+avb+YNHu/f9m1y6w9K1eGd96Ba6/1dkQWt3eveUZl+nRzuUEDc3hFjRrejUt8QoYzQxP3iYiIiBSBZu8X+Y9hmMP2s9SrZ84bt2FD6RT8LpeLw4cPW2oikAJxOs2zKueeaxb8Dgc8/rg5kYIKfss6W77P3j6bYxnHspdV8Is/C9jjuwQk5bsEEivmu4p+saxNm6BHD+jeHebNy1nfsyeU1qAMwzCIi4uz1CM/zmrPHujSBe67D1JSoFMnWLUKXn4Zypf3dnTiQfnl+99xf3PFlCvo/FFnDh8/7IXoREpWQB7fJWAp3yWQWDHfVfSL5aSlwXPPmY/dW7jQrDN37/Z2VAGkalVISjLPrLz7LixZAq1aeTsq8aL9Kfvp910/TrpO0rRKUyLKRXg7JBEREZGAoUf2iaXMmwd33w1btpjLV15p1p316nk3LsubN8989F7ZshAcDN9+axb/tWp5OzLxsgxnBv2/78/+1P20qNqCT675RBP3iYiIiJQiXekXy3jsMejVyyz4a9SA776Dn3/2fsEfGhrq3QA8af9+GDTI3PFvvZWz/rzzVPAHqNPz/YHfH+CvuL8IDw7nh0E/UDGoopciEyl5lj6+i5xG+S6BxGr5riv9Yhnt2oHNZl7pHzcOKlXydkTgcDho1KiRt8MoeS4XTJ4MTzxhDuW32yE52dtRiZednu8frfqI92Lew4aNKX2n0DiysRejEylZlj2+i+RB+S6BxIr5rqLf4nYn7SbheILb96uUr0Ld8LqlGFHJ2brVvFf/oovM5YEDoUULaNnSu3Gdus9dLheJiYlERERg/+959P68zwFzBv677jIfvQfQvr15AqBNG6+GZeVc92Xu8v2k6yRPz3sagLE9x3Jlkyu9GaZIiXO5XBw8eJBq1aplH99FrEr5LoHEivmuot/Cdiftpuk7TUnLTHPbJqRMCJtHbParYigjA159FV54wZwrbtMmiIgwr/L7QsFvxX2e7eOPzYI/MxMqVoQXX4Thw81H8nmR5fe7jyrIfnfYHNzY6sZSjEqkdBiGQXx8PFWrVvV2KCIep3yXQGLFfLfGqQvJU8LxhHz/GAdIy0zL9+qor1m82LygPHo0pKdD69Zw/Li3o8phxX2ey/nnm2dXrrkGNmyAkSO9XvBDAOx3H1WQ/e40nCSeSCyliERERETkdCr6xS8cOWJeYO7a1aw1q1aFKVPgjz+gTh1vR2dhBw/C11/nLDdvDmvXwowZEBXltbBERERERKRgNLxfuHH6jVQIqsDEKybSoXYHAKZtmMbLS152+5k3LnmDbvW6AfDLll94bsFzbtu+2OtFLml0CQBzd8zl8dmPu207utto+jTtA8BfcX9x/+/3k3kslPXPfsfJ5CoAVLlwBrX7/Q9Hq2HYbIMAWLV/FXfNvMvtdod3GM7Q1kMB2HhoIzfPuNlt29vb3M7d7e8GYOfRnQz4foDbtkOih/DA+Q8AEJ8az43TCzaMOSU9hQ4fdHD7/hXnXMGYnmMASM9M58JPLnTbtmf9nrx68avZyx0/6IiBkWfbznU68/blb2cvd/+0O8dP5j1Uok1SeSa/tA6OHoUmTbhs41McPnHYfHNR7rbNqjTji+u+yF6+5ptr2JeyL8/t1guvx9SBU7OXB08dzLYj2/JsW71CdWbeMDN7+dYfb2XdwXVntDuWcSzPz58uK9eDHEEsuW1J9vqH/niIRbsXuf3csjuWYbeZ50hHzRnFn9v/dNt2/i3zqRBUAYCxC8by85af3bb9bchvVClv5vVrS17juw3fuW07Y9AMaofVBuCd5e/w2T+fuW37db+vOSfiHAA+XPUhk1ZOctv24z4fE109GoAv137JhGUT3LY9/Rgxet5ot21FrM5msxEREaFHUEpAUL5LILFivqvoFzYmbAQgJSMle92h44eI2Rfj9jNJaUnZrw+fOJxv21OH9h45cSTftqcOv05OT85p2+hHiOsCV91FQv1FJCTBwWPXZrdNzUjNd7vxqfHZr4+fPJ5v28vPuTz7dVpmWr5tu9Xtlv06w5mRvS/Pxmk4893uuVXOzX5tYOTb9vR71GP2xbgt+iPLReZaXrV/FakZqXm2LbcLSMR8/J7DwZr4NRw4diDPti7DlWs59kAsO47uyLNtSnpKruX1h9bnWcgDRIXlHk2w8dDGfPfF2WR9P8GO4FzrtyZuLfB2tx/Znm/bU/fFzqM7822b6crMfr07aXe+bdOd6dmv9yTvybftiZMnsl/vS9mXb9tjJ3NOmBxIPZBv29OPEQXNdxErstvt1K2rOUIkMCjfJZBYMd9thmHkXR1IgSQnJxMeHk5SUhJhYWHeDieXVftX0W5yu7O2m3DZBM6JOIeOtTtmX3XcdXQX6w+td/uZdjXbUb1idcAsQNYeWOu2besarakVaj6zPT41nlX7V7ltG10tmhrlo3jrLeh5xWEOBi0D4Hiqg7JBBmWDcgqq5lWbU79SfcA8sbB0z1K3220a2ZRGEeajN5LSklgSt8Rt23MizqFJZBPAPJmwcNdCt20bVGrAuVXNAv3EyRN8sOoD7v/9frftsyy9fWnOVfM81A6tzXk1zgPA6XLyx7Y/3LatXqE67WrlfM+/bv3Vbdsq5avQsXbH7OU//v0Dp+E0F06ehO++M38yM6lsBNP5rhfggQegTBlmb59NhjMjz+2GBYdxYd2c0QjzdszjROaJPNtWKFuB7vW7Zy8v2rUoVzF5qpAyIfRq0Ct7+a+4vziadvSMdv8m/lug/Z6V63abncvOuSx7fcy+GA4eO+j2c5efc3n22d7V+1ezP3W/27aXNLqEMnbzfOraA2vZk7zHbduLGlxEcBnzBMT6g+vZlbTLbdse9XtQvmx5ADYlbGL7ke1u215Y90LCgs3j0dbDW9mauNVt2851OlO5XGXAPKGxKWGT27anHyN+3Pxjgfb7ymEraVuz7VnbifgTl8vFnj17qFOnjmVmdxZxR/kugcRf8r0wdaiK/mKyQtHvS3+QL10Kw4ZBbCxccQXMnGnOG+cv/HGfA2AY0LkzLDNPsnDFFfDuu1C/vlfDKii/3e9+TvtdApnT6SQ2Npbo6GgcPjChqYgnKd8lkPhLvhemDvXdUxcSUJKSzCe/deliFvyRkTBwoLejCiA2GwwdCjVqmFf6Z870m4JfRERERETcU9FvYVXKVyGkTEi+bULKhGQP1/UGw4CpU+Hcc2HiRHP5lltg0ybzv/50lR/8Y58D5o7+4gv485QJ6YYNM3f8gAF+t+P9Zr9bjPa7iIiIiO/T8P5i8uXh/WBODpbfs8mrlK9yxkRwpemLL+Dm/ybSb9wY3n8fevXK/zO+7tR97nK5SExMJCIiIvueIG/vc7ZuhXvugTlzoF49WL8eKlTwXjwlxNdz3ap8Pt9FPMTlcnHw4EGqVavm0/d8ipQE5bsEEn/Jd93TX4p8vej3dWlp0L499O0Lo0ZBSP4XDaU4MjLgtdfg+echPd3c2c8+Cw89BEFB3o5OREREREQKSPf0i89auRJuvRUy/3tSWUgIrF4NY8das+B3Op1s27YNp9Pp3UAWL4Y2beDpp82C/+KLYd06eOIJFfxSYnwm30VKgfJdAonyXQKJFfO9jLcDkMCQkgLPPANvvw0ul1l/jhxpvle2rHdj87SUlLwfR1dq/vkHunY1X1etCm++CTfc4Hf37Yt/8Hq+i5Qi5bsEEuW7BBKr5buKfvG4n36CESMgLs5cvuEGGDTIuzEFlPPOM++fqFwZXn0VIiK8HZGIiIiIiJQSDe8Xj9m7F/r1g2uuMQv+Bg3g999hyhSoXt3b0VnYjh3mWZWDB3PWffstfPihCn4RERERkQCjK/3iMbffDn/8AWXKwCOPwOjRUL68t6MqXTabjaioKGylMZT+5Elz6P5zz8GJE+YkCZ99Zr5XRv/UxfNKNd9FvEz5LoFE+S6BxIr5rkpAPOb11+H4cXj3XYiO9nY03mG324mMjPT8L1q2DIYNg7VrzeWePeGppzz/e0VOUWr5LuIDlO8SSJTvEkismO8a3i8l4tgxePRRePLJnHUtW8LChYFb8IM5++emTZs8N/tncrI5YULnzmbBHxkJn34Kc+ZAkyae+Z0ibng830V8iPJdAonyXQKJFfNdV/ql2H77De65B3btAofDvODcoIG3o/IdaWlpntv4Sy+ZQykAbrnFHF5RpYrnfp/IWXg030V8jPJdAonyXQKJ1fJdV/qlyOLjYfBguOIKs+CvWxdmzFDB73GGkfP6ySehRw/zyv6nn6rgFxERERGRXFT0S6G5XDBpEjRrZk4Kb7fDww/D+vVw1VXejs7CMjPNifquuSan8A8Lg3nzoFcv78YmIiIiIiI+ScP7pdAOHjTv309JgfbtYfJkaNPG21H5JrvdTsOGDbHbi3l+beVK876JVavM5Z9/hj59ih+gSAkqsXwX8QPKdwkkyncJJFbMdxX9UiAnT0LZsubrGjVg/Hhz8r4RI8z7+CVvNpuNsLCwom8gNdV81uHbb5tDLCpVgldf1ZAK8UnFzncRP6J8l0CifJdAYsV8t87pC/GY2bPh3HNh1qycdXfcAfffr4L/bJxOJ7GxsUWb/fPnn6F5c3jrLbPgv/562LQJ7rzTvKdCxMcUK99F/IzyXQKJ8l0CiRXzXZWDuHXwINx0E1x8MWzbBi++6O2I/FORDhiZmTBqFMTFmTMj/vYbfPUVVK9e8gGKlCAr/Q9S5GyU7xJIlO8SSKyW7yr65QyGAR9/bF7d//JLsNlg5EiYOdPbkVmc02kW+wBlypizJT7+OKxbB5dd5t3YRERERETEL6nol1w2bTKfAHf77ZCYCK1bw7JlMGEChIZ6OzoL++cfuOACeO21nHVdusDLL0P58t6LS0RERERE/JqKfsll/XpYuNCsM19/HVasgA4dvB2V/7Lb7TRt2tT97J/HjsFjj0G7djlnV06cKN0gRUrIWfNdxEKU7xJIlO8SSKyY737dk/T0dB5//HFq1apFuXLl6NSpE3/++WeBPrt3714GDhxIpUqVCAsL45prrmH79u0ejtg3HT6c87pvX/Pe/fXr4eGHzVHmUjxBQUF5v/Hbb9CypXl13+mE/v3NR/KVK1e6AYqUILf5LmJByncJJMp3CSRWy3e/LvqHDh3K+PHjGTJkCBMmTMDhcHDFFVewePHifD+XmppKz549WbBgAaNGjWLMmDGsXr2a7t27c/jUCthKnE6YPx++/tr8r9PJ4cNw223QrBkkJJjNbDZz/rj69b0Yq1U4nbjmziXu1VdxzZ1rfgcA8fEweDBccQXs3Al165oz9X//PdSq5dWQRYrD5XIRGxuLy+XydigiHqd8l0CifJdAYsV899vruMuXL+ebb77htdde45FHHgHg5ptvpmXLljz22GP89ddfbj87ceJEtm7dyvLly+nw39j1yy+/nJYtW/LGG28wbty4UulDqZk+He6/n9l7mjKSt5nASOIrt+Ah56skJAcD8OuvcPPNXo7TSv7b5449e6ifta5OHXP4fsuWMGOG+di9Bx6AMWOgYkWvhSoiIiIiItblt1f6p06disPhYNiwYdnrQkJCuP322/n777+Ji4vL97MdOnTILvgBmjVrxkUXXcR3333n0bhL3fTp0L8/xp49jGIcG2lOP6Zx85EJJCQH0yIqiSVLVPCXqP/2OXv25F6/d6+5ft06eP99c8KEN95QwS8iIiIiIh7jt1f6V69eTZMmTQgLC8u1vmPHq4VgewAAFERJREFUjgCsWbOGqKioMz7ncrlYu3Ytt9122xnvdezYkVmzZpGSkkKoFaaqdzrh/vvBMPiDS1iBuW9SCKcs6YzhOR4+9ilBe9+G6Q648EKoVs387PbtsGaN+2137gw1a5qvd+2ClSvdt+3QAbK+i717zQnr3GnbNufegvh4yGfEBuedB40ama8TEswZCN1p0QKaNjVfHzkC8+a5b9usGTRvbr5OSYH85ok45xxo1cp8ffw4/PIL3HOP+dzD0xmGef/EAw/Ajh3gcLjfroiIiIiISAnw26J///791MwqOk+RtW7fvn15fi4xMZH09PSzfrZpVoF4mvT0dNLT07OXk5OTAXA6nTj/u2fbZrNht9txuVwYpxR/Weuz2p1tvd1ux2az5bkeOOM+kzPWz5+PY88eDOAZnseGCwM74KIZm3iCl7ElAgMHmn2YNQt69cLhcOD6/Xfsw4fnuQ8AnD/8AFdfbca+YAHccovbtq4pUzAGDTJj/PtvbAMGuG/7wQcYt95qLqxciaNfP7dtjQkTcGXFGBubb1teegnXY4+Z38fWrflv9+mnsT3/vLnfd+/Ot63rgQewjR9vfk8HDuD4b1+637gBcXEYCxfi6tYt11sOhwPDMM74Xh0Oxxm55G69z+Se+hSwfWrRogWGYZxxPPTnPlnxe1Kfit8nm81Gy5Ytc+W7v/fJit+T+lQyfQKIjo4+I9/9uU9W/J7Up5Lpk2EYREdH57kdX+rT6THkx2+L/hMnThAcHHzG+pCQkOz33X0OKNJnAV566SXGjBlzxvr169dT8b9h2hEREdStW5c9e/aQmJiY3aZGjRrUqFGDnTt3kpKSkr0+KiqKyMhItm7dSlpaWvb6hg0bEhYWxoYNG3J9yU2bNiUoKIjY2NhcMURHR5ORkcHmzZsBqLR8OfWBWadc5TfZieU8ZnEJlzKLtHr1yKxcmb2HDlFm504aNWpEUrlylG3dOvsTZcqUISQ4mLT0dDIzM9l/9CjHYmPNPlWrxol27XLFGBwcTNkyZTh+4gT7kpNJ/S/WxuXKUeGCCzh2/HiuRC1Xrhx2m42dx4+T/F/b8ocP07hLF1yGkes7sdlsVChfnhOVKrHlv7blDh4kqm1bypcrx8nMzFwnZhwOB+Xq1OHgwYPEx8cTvHcvUa1bn9GnLM5KlQgHdu7cSdquXdT7bz+c2qesA8PR4GDCUlIICwtjy65dNKhXj5Bduzibk7t3s+GU78/hcBAdHU1KSkqup0iEhITQrFkzjhw5kuuWldDQUBo1apTdpyy+knvqU2D2KSoqit27d+eK3d/7ZMXvSX0qmT61bNmSlJQUdp1yzPf3Plnxe1KfSqZP1atXp1KlSuzbt88yfbLi96Q+lUyf7HY7jRs3JiMjgx07dvhsn/K6iO2OzSjMKQIf0rJlS6pXr86cOXNyrd+wYQMtWrTg/fff56677jrjcwkJCVStWpWxY8cyevToXO9NnDiR4cOHs2nTpkJd6Y+KiiIxMTH7VgOfOVM1fz723r3pxDJW0RbnKed4HGTSllUsoxOu2bOhR4+c93z87FtWjD55RnH+fBy9e3M2xty5utKvPlmuT4ZhsHbtWlq0aIHjv9tX/L1PVvye1KeS6ZNhGMTGxubKd3/vkxW/J/WpZPrkcrlYv349zZs3z5Xv/twnK35P6lPJ9MnpdLJhwwZatmyJzWbz2T6lpqZSqVIlkpKSzrjl/XR+e6W/Zs2a7N2794z1+/fvB6CWm0efRUREEBwcnN2uMJ8F82pvXqMEHA5HroMg5CRRXm1LZX2PHvxRZQgrEjqe0cZJGVbQkVlVhnBpjx5n3F/uLnav9+kUNpstz/WFjb1E+9SjhzlL/969ed/Xb7NBnTrYunXznz4Vc736FDh9cjqd2ds5fVv+2qf81qtPgd2n/PLdX/uU33r1SX3K+p15bd/f+1Ta69Un9akkYjz9hER+/Hb2/tatW7Nly5bse+qzLPtvkrjWpwxNP5Xdbic6OpqYmJgz3lu2bBkNGza0xiR+gGF3MDr8bew483zfjpPR4W9j2PNOLCkCh8N8LB+YBf6pspbfeuuMkywiIiIiIiKe4LdFf//+/XE6nUyePDl7XXp6Op988gmdOnXKnrl/9+7dbNq06YzPrlixIlfhv3nzZubOncuAfCaZ8zcZGbA7NQIXeReYLhzEHYsgI6OUA7O6vn1h6lSoXTv3+jp1zPV9+3onLpFS4O7stIgVKd8lkCjfJZBYLd/99p5+gIEDB/LDDz/w4IMPcs455/DZZ5+xfPly5syZQ7f/7pfu0aMHCxYsyHUfRUpKCm3atCElJYVHHnmEsmXLMn78eJxOJ2vWrKFq1aoFjiE5OZnw8PAC3UvhDXFxcOgQ5uP7Vq82H21XpQq0aQMOB9WqmbWoeIDTCYsWwf795uMNu3bVFX4RERERESm2wtShfntPP8Dnn3/O6NGj+eKLLzhy5AitWrVi5syZ2QW/O6GhocyfP58HH3yQF154AZfLRY8ePXjzzTcLVfD7g6go8wcc0KG9t8MJLA4HRvfupKSkEBoaWqj7bkT8kWEYyncJGMp3CSTKdwkkVsx3v77S7wt8/Uq/eJfT6SQ2Npbo6GjLDRMSOZ3yXQKJ8l0CifJdAom/5Hth6lC/vadfRERERERERPKnol9ERERERETEolT0i3hYSEiIt0MQKTXKdwkkyncJJMp3CSRWy3fd019MuqdfRERERERESpPu6RfxES6Xi8OHD+NyubwdiojHKd8lkCjfJZAo3yWQWDHfVfSLeJBhGMTFxaEBNRIIlO8SSJTvEkiU7xJIrJjvKvpFRERERERELEpFv4iIiIiIiIhFqegX8bDQ0FBvhyBSapTvEkiU7xJIlO8SSKyW75q9v5g0e7+IiIiIiIiUJs3eL+IjXC4X8fHxlpr9U8Qd5bsEEuW7BBLluwQSK+a7in4RDzIMg/j4eEvN/inijvJdAonyXQKJ8l0CiRXzXUW/iIiIiIiIiEWp6BcRERERERGxKBX9Ih5ks9mIiIjAZrN5OxQRj1O+SyBRvksgUb5LILFivmv2/mLS7P0iIiIiIiJSmjR7v4iPcLlc7N6921Kzf4q4o3yXQKJ8l0CifJdAYsV8V9Ev4kGGYZCYmGip2T9F3FG+SyBRvksgUb5LILFivqvoFxEREREREbGoMt4OwN9lnQFKTk72ciTii5xOJ6mpqSQnJ+NwOLwdjohHKd8lkCjfJZAo3yWQ+Eu+Z9WfBRmRoKK/mFJSUgCIioryciQiIiIiIiISSFJSUggPD8+3jWbvLyaXy8W+ffsIDQ211GMdpGQkJycTFRVFXFycnu4glqd8l0CifJdAonyXQOIv+W4YBikpKdSqVQu7Pf+79nWlv5jsdjt16tTxdhji48LCwnz6oCFSkpTvEkiU7xJIlO8SSPwh3892hT+LJvITERERERERsSgV/SIiIiIiIiIWpaJfxIOCg4N59tlnCQ4O9nYoIh6nfJdAonyXQKJ8l0BixXzXRH4iIiIiIiIiFqUr/SIiIiIiIiIWpaJfRERERERExKJU9IuIiIiIiIhYlIp+EREREREREYtS0S9SwlasWMGIESNo0aIFFSpUoG7dugwcOJAtW7Z4OzSRUvHiiy9is9lo2bKlt0MR8YhVq1bRp08fIiIiKF++PC1btuTtt9/2dlgiJW7r1q0MHjyYOnXqUL58eZo1a8bYsWM5fvy4t0MTKbLU1FSeffZZLrvsMiIiIrDZbHz66ad5tt24cSOXXXYZFStWJCIigptuuolDhw6VbsAloIy3AxCxmldeeYUlS5YwYMAAWrVqRXx8PO+88w5t27Zl6dKlKoTE0vbs2cO4ceOoUKGCt0MR8YhZs2Zx9dVX06ZNG0aPHk3FihXZtm0be/bs8XZoIiUqLi6Ojh07Eh4ezogRI4iIiODvv//m2WefZeXKlfz444/eDlGkSBISEhg7dix169blvPPOY/78+Xm227NnD926dSM8PJxx48aRmprK66+/TmxsLMuXLycoKKh0Ay8GFf0iJeyhhx7iq6++ynUgGDRoENHR0bz88st8+eWXXoxOxLMeeeQRzj//fJxOJwkJCd4OR6REJScnc/PNN3PllVcydepU7HYNmBTr+uKLLzh69CiLFy+mRYsWAAwbNgyXy8Xnn3/OkSNHqFy5spejFCm8mjVrsn//fmrUqEFMTAwdOnTIs924ceM4duwYK1eupG7dugB07NiRiy++mE8//ZRhw4aVZtjFov9biZSwLl26nHHmr3HjxrRo0YKNGzd6KSoRz1u4cCFTp07lrbfe8nYoIh7x1VdfceDAAV588UXsdjvHjh3D5XJ5OywRj0hOTgagevXqudbXrFkTu93uV1c5RU4VHBxMjRo1ztpu2rRpXHXVVdkFP0Dv3r1p0qQJ3333nSdDLHEq+kVKgWEYHDhwgCpVqng7FBGPcDqd3Hfffdxxxx1ER0d7OxwRj5g9ezZhYWHs3buXpk2bUrFiRcLCwrjnnntIS0vzdngiJapHjx4A3H777axZs4a4uDi+/fZb3nvvPUaOHKnbuMTS9u7dy8GDB2nfvv0Z73Xs2JHVq1d7IaqiU9EvUgqmTJnC3r17GTRokLdDEfGI999/n127dvH88897OxQRj9m6dSuZmZlcc801XHrppUybNo3bbruN999/n1tvvdXb4YmUqMsuu4znn3+eP//8kzZt2lC3bl0GDx7Mfffdx5tvvunt8EQ8av/+/YA5suV0NWvWJDExkfT09NIOq8h0T7+Ih23atInhw4fTuXNnbrnlFm+HI1LiDh8+zDPPPMPo0aOpWrWqt8MR8ZjU1FSOHz/O3XffnT1bf9++fcnIyGDSpEmMHTuWxo0bezlKkZJTv359unXrRr9+/YiMjOSXX35h3Lhx1KhRgxEjRng7PBGPOXHiBGDeCnC6kJCQ7DZ5ve+LVPSLeFB8fDxXXnkl4eHhTJ06FYfD4e2QRErc008/TUREBPfdd5+3QxHxqHLlygFw/fXX51p/ww03MGnSJP7++28V/WIZ33zzDcOGDWPLli3UqVMHME9yuVwuHn/8ca6//noiIyO9HKWIZ2Qd7/O6mp91O1dWG3+g4f0iHpKUlMTll1/O0aNH+f3336lVq5a3QxIpcVu3bmXy5MmMHDmSffv2sXPnTnbu3ElaWhonT55k586dJCYmejtMkRKRdRw/fWKzatWqAXDkyJFSj0nEUyZOnEibNm2yC/4sffr04fjx4353T7NIYWQN688a5n+q/fv3ExER4TdX+UFFv4hHpKWlcfXVV7NlyxZmzpxJ8+bNvR2SiEfs3bsXl8vFyJEjadCgQfbPsmXL2LJlCw0aNGDs2LHeDlOkRLRr1w4w8/5U+/btA9DtLWIpBw4cwOl0nrH+5MmTAGRmZpZ2SCKlpnbt2lStWpWYmJgz3lu+fDmtW7cu/aCKQUW/SAlzOp0MGjSIv//+m++//57OnTt7OyQRj2nZsiU//PDDGT8tWrSgbt26/PDDD9x+++3eDlOkRAwcOBCAjz76KNf6Dz/8kDJlymTPdi5iBU2aNGH16tVs2bIl1/qvv/4au91Oq1atvBSZSOno168fM2fOJC4uLnvdnDlz2LJlCwMGDPBiZIVnMwzD8HYQIlbywAMPMGHCBK6++ursPxBPdeONN3ohKpHS1aNHDxISEli3bp23QxEpUbfffjsff/wxAwcOpHv37syfP5/vv/+eJ598knHjxnk7PJESs3DhQnr16kVkZCQjRowgMjKSmTNn8ttvv3HHHXfwwQcfeDtEkSJ75513OHr0KPv27eO9996jb9++tGnTBoD77ruP8PBw4uLiaNOmDZUqVeL+++8nNTWV1157jTp16rBixQq/Gt6vol+khPXo0YMFCxa4fV//5CQQqOgXqzp58iTjxo3jk08+Yd++fdSrV4/hw4fzwAMPeDs0kRK3fPlynnvuOVavXs3hw4dp0KABt9xyC4899hhlymg+cPFf9evXZ9euXXm+t2PHDurXrw/A+vXreeihh1i8eDFBQUFceeWVvPHGG2fM7eLrVPSLiIiIiIiIWJTu6RcRERERERGxKBX9IiIiIiIiIhalol9ERERERETEolT0i4iIiIiIiFiUin4RERERERERi1LRLyIiIiIiImJRKvpFRERERERELEpFv4iIiIiIiIhFqegXERERERERsSgV/SIiIiIiIiIWpaJfRERESsXOnTux2WzYbDYuvfTSPNssXboUm83G0KFDSzc4ERERi1LRLyIiIqVu1qxZzJ0719thiIiIWJ6KfhERESlV9evXx2638/jjj2MYhrfDERERsTQV/SIiIlKqmjZtyk033URMTAzfffedt8MRERGxNBX9IiIiUurGjh1LcHAwTz/9NCdPnvR2OCIiIpalol9ERERKXd26dbnvvvv4999/mTRpkrfDERERsSwV/SIiIuIVo0aNolKlSjz//POkpqZ6OxwRERFLUtEvIiIiXlG5cmWeeOIJDh48yOuvv+7tcERERCxJRb+IiIh4zciRI6lTpw5vvPEGBw8e9HY4IiIilqOiX0RERLymXLlyjBkzhtTUVMaMGePtcERERCxHRb+IiIh41S233EKLFi344IMP+Pfff70djoiIiKWo6BcRERGvcjgcjBs3jpMnT/Lcc895OxwRERFLUdEvIiIiXtenTx8uvPBCtm3b5u1QRERELEVFv4iIiPiEV155xdshiIiIWI7NMAzD20GIiIiIiIiISMnTlX4RERERERERi1LRLyIiIiIiImJRKvpFRERERERELEpFv4iIiIiIiIhFqegXERERERERsSgV/SIiIiIiIiIWpaJfRERERERExKJU9IuIiIiIiIhYlIp+EREREREREYtS0S8iIiIiIiJiUSr6RURERERERCxKRb+IiIiIiIiIRf0fZ5AjBjUyNAUAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "# Représentation graphique des ensembles A, B et C en fonction de N\n",
        "plt.figure(figsize=(12, 8))\n",
        "N_range = range(1, 11)\n",
        "plt.plot(N_range, A_points, 'r-', marker='o', linestyle='--', label='A : Local minima')\n",
        "plt.plot(N_range, B_points, 'g-', marker='s', linestyle='--', label='B : π(x) = 1/L')\n",
        "plt.plot(N_range, C_points, 'b-', marker='^', linestyle='--', label='C : Local maxima')\n",
        "\n",
        "plt.xlabel('N', fontsize=14)\n",
        "plt.ylabel('Set cardinality', fontsize=14)\n",
        "plt.title('Evolution of the cardinality of A, B, C as a function of N', fontsize=16)\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "plt.legend(fontsize=12)\n",
        "plt.grid(True, linestyle='--', alpha=0.6)\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (c)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 73,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 746
        },
        "id": "JrKAqXUbDxy6",
        "outputId": "ffe619d2-8833-4783-abad-e4a8c477bf95"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(12, 8))\n",
        "colors = ['r', 'g', 'b']\n",
        "markers = ['o', 's', '^']\n",
        "labels = ['A : Local minima', 'B : π(x) = 1/L', 'C : Local maxima']\n",
        "\n",
        "for i, (points, color, marker, label) in enumerate(zip([A_list, B_list, C_list], colors, markers, labels)):\n",
        "    for N, x_vals_set in enumerate(points, start=1):\n",
        "        if isinstance(x_vals_set, list) and len(x_vals_set) > 0:\n",
        "            plt.scatter([N] * len(x_vals_set), x_vals_set, color=color, marker=marker, label=label if N == 5 else \"\", alpha=0.6)\n",
        "\n",
        "plt.xlabel('N', fontsize=14)\n",
        "plt.ylabel('Position x', fontsize=14)\n",
        "plt.title('Values of the points in A, B, C as a function of N', fontsize=16)\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "plt.legend(fontsize=12, loc='best')\n",
        "plt.grid(True, linestyle='--', alpha=0.6)\n",
        "plt.show()\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "##### (d) Entropy!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": []
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
