{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Logistic regression trained with batch gradient descent\n",
        "\n",
        "CSI4106 Introduction to Artificial Intelligence\n",
        "\n",
        "Marcel Turcotte (School of Electrical Engineering and Computer Science,\n",
        "University of Ottawa)  \n",
        "2026-09-29\n",
        "\n",
        "This notebook implements binary logistic regression with NumPy. The\n",
        "model uses binary cross-entropy and batch gradient descent, matching the\n",
        "equations developed in Lecture 6.\n",
        "\n",
        "# Imports"
      ],
      "id": "fa667017-6a2f-4692-b7a7-0bf38a1999a1"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "from sklearn.datasets import make_blobs\n",
        "from sklearn.model_selection import train_test_split"
      ],
      "id": "36d511d7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Logistic regression implementation\n",
        "\n",
        "For a matrix $X_b$ that includes an intercept column, the implementation\n",
        "follows four equations:\n",
        "\n",
        "$$\n",
        "z = X_b\\theta,\n",
        "\\qquad\n",
        "\\hat{p} = \\sigma(z),\n",
        "$$\n",
        "\n",
        "$$\n",
        "\\nabla J(\\theta) = \\frac{1}{N}X_b^\\top(\\hat{p}-y),\n",
        "\\qquad\n",
        "\\theta \\leftarrow \\theta-\\alpha\\nabla J(\\theta).\n",
        "$$\n",
        "\n",
        "Here, $\\alpha$ is the learning rate."
      ],
      "id": "dd78c4ee-7cfb-4636-8577-7614f565d5d7"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "class LogisticRegression:\n",
        "    \"\"\"Binary logistic regression trained with batch gradient descent.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    learning_rate : float, default=0.1\n",
        "        Step size used by gradient descent.\n",
        "    max_iter : int, default=1000\n",
        "        Number of gradient-descent updates.\n",
        "\n",
        "    Notes\n",
        "    -----\n",
        "    The implementation expects labels in {0, 1}. It adds the intercept\n",
        "    internally and does not use regularization or early stopping.\n",
        "    \"\"\"\n",
        "\n",
        "    def __init__(self, learning_rate: float = 0.1, max_iter: int = 1000):\n",
        "        if learning_rate <= 0:\n",
        "            raise ValueError(\"learning_rate must be positive.\")\n",
        "        if max_iter <= 0:\n",
        "            raise ValueError(\"max_iter must be positive.\")\n",
        "\n",
        "        self.learning_rate = learning_rate\n",
        "        self.max_iter = max_iter\n",
        "        self._theta = None\n",
        "        self._loss_history = None\n",
        "        self._n_features = None\n",
        "        self._fitted = False\n",
        "\n",
        "    def fit(self, X: np.ndarray, y: np.ndarray) -> \"LogisticRegression\":\n",
        "        \"\"\"Estimate the parameters from a training set.\"\"\"\n",
        "        X = self._as_2d_array(X, name=\"X\")\n",
        "        y = self._as_1d_array(y, name=\"y\")\n",
        "\n",
        "        if X.shape[0] != y.shape[0]:\n",
        "            raise ValueError(\"X and y must contain the same number of examples.\")\n",
        "        self._check_binary_labels(y)\n",
        "\n",
        "        n_examples, n_features = X.shape\n",
        "        self._n_features = n_features\n",
        "        Xb = self._add_intercept(X)\n",
        "\n",
        "        # Zero initialization is sufficient because the objective is convex.\n",
        "        self._theta = np.zeros(n_features + 1, dtype=float)\n",
        "        self._loss_history = []\n",
        "\n",
        "        for _ in range(self.max_iter):\n",
        "            probabilities = self._sigmoid(Xb @ self._theta)\n",
        "            gradient = (Xb.T @ (probabilities - y)) / n_examples\n",
        "            self._theta -= self.learning_rate * gradient\n",
        "\n",
        "            updated_probabilities = self._sigmoid(Xb @ self._theta)\n",
        "            self._loss_history.append(self._bce_loss(updated_probabilities, y))\n",
        "\n",
        "        self._fitted = True\n",
        "        return self\n",
        "\n",
        "    def predict_proba(self, X: np.ndarray) -> np.ndarray:\n",
        "        \"\"\"Return the predicted probability of the positive class.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        X = self._as_2d_array(X, name=\"X\")\n",
        "        self._ensure_same_n_features(X)\n",
        "        return self._sigmoid(self._add_intercept(X) @ self._theta)\n",
        "\n",
        "    def predict(self, X: np.ndarray, threshold: float = 0.5) -> np.ndarray:\n",
        "        \"\"\"Return class predictions using the specified threshold.\"\"\"\n",
        "        if not 0 <= threshold <= 1:\n",
        "            raise ValueError(\"threshold must be between 0 and 1.\")\n",
        "        return (self.predict_proba(X) >= threshold).astype(int)\n",
        "\n",
        "    @property\n",
        "    def intercept_(self) -> float:\n",
        "        \"\"\"Return the fitted intercept.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return float(self._theta[0])\n",
        "\n",
        "    @property\n",
        "    def coef_(self) -> np.ndarray:\n",
        "        \"\"\"Return a copy of the fitted feature coefficients.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return self._theta[1:].copy()\n",
        "\n",
        "    def get_loss_history(self) -> list[float]:\n",
        "        \"\"\"Return the binary-cross-entropy values recorded during training.\"\"\"\n",
        "        self._ensure_fitted()\n",
        "        return list(self._loss_history)\n",
        "\n",
        "    @staticmethod\n",
        "    def _sigmoid(z: np.ndarray) -> np.ndarray:\n",
        "        \"\"\"Compute the sigmoid without overflowing for large negative values.\"\"\"\n",
        "        z = np.asarray(z, dtype=float)\n",
        "        result = np.empty_like(z)\n",
        "        positive = z >= 0\n",
        "        result[positive] = 1.0 / (1.0 + np.exp(-z[positive]))\n",
        "        exp_z = np.exp(z[~positive])\n",
        "        result[~positive] = exp_z / (1.0 + exp_z)\n",
        "        return result\n",
        "\n",
        "    @staticmethod\n",
        "    def _bce_loss(probabilities: np.ndarray, y: np.ndarray) -> float:\n",
        "        probabilities = np.clip(probabilities, 1e-12, 1.0 - 1e-12)\n",
        "        return float(\n",
        "            -np.mean(\n",
        "                y * np.log(probabilities)\n",
        "                + (1 - y) * np.log(1 - probabilities)\n",
        "            )\n",
        "        )\n",
        "\n",
        "    @staticmethod\n",
        "    def _as_2d_array(X, name: str) -> np.ndarray:\n",
        "        X = np.asarray(X, dtype=float)\n",
        "        if X.ndim != 2:\n",
        "            raise ValueError(\n",
        "                f\"{name} must be a 2D array of shape (n_examples, n_features).\"\n",
        "            )\n",
        "        return X\n",
        "\n",
        "    @staticmethod\n",
        "    def _as_1d_array(y, name: str) -> np.ndarray:\n",
        "        y = np.asarray(y, dtype=float)\n",
        "        if y.ndim != 1:\n",
        "            raise ValueError(f\"{name} must be a 1D array of shape (n_examples,).\")\n",
        "        return y\n",
        "\n",
        "    @staticmethod\n",
        "    def _check_binary_labels(y: np.ndarray) -> None:\n",
        "        if not np.array_equal(np.unique(y), np.array([0.0, 1.0])):\n",
        "            raise ValueError(\"y must contain both binary labels 0 and 1.\")\n",
        "\n",
        "    @staticmethod\n",
        "    def _add_intercept(X: np.ndarray) -> np.ndarray:\n",
        "        return np.column_stack([np.ones(X.shape[0]), X])\n",
        "\n",
        "    def _ensure_fitted(self) -> None:\n",
        "        if not self._fitted or self._theta is None:\n",
        "            raise RuntimeError(\"Call fit(X, y) before using the fitted model.\")\n",
        "\n",
        "    def _ensure_same_n_features(self, X: np.ndarray) -> None:\n",
        "        if X.shape[1] != self._n_features:\n",
        "            raise ValueError(\n",
        "                f\"X has {X.shape[1]} features; the model was fitted with \"\n",
        "                f\"{self._n_features}.\"\n",
        "            )"
      ],
      "id": "cb01e816"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# A two-dimensional example\n",
        "\n",
        "The two features let us see the probability surface, decision boundary,\n",
        "and normal vector directly."
      ],
      "id": "8e474d6f-c22b-48d0-9242-c94b2547961a"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "X, y = make_blobs(\n",
        "    n_samples=1000,\n",
        "    n_features=2,\n",
        "    centers=2,\n",
        "    cluster_std=2.5,\n",
        "    random_state=42,\n",
        ")\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(\n",
        "    X,\n",
        "    y,\n",
        "    test_size=0.3,\n",
        "    random_state=42,\n",
        "    stratify=y,\n",
        ")"
      ],
      "id": "8cd0a792"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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E2+aCG55FvoyIObZl1bqNMBiNkMtkuGPcaK9rf5wGlf2nMNFitVqh1mggDoqA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\n/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kYaW12MP+D7wDeQDUeQXIKzWxYiwhYEkVQGVWgoM5EUweY2AlIxGkULq6vztCMadf+U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\nSUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(7, 6))\n",
        "plt.scatter(\n",
        "    X_train[y_train == 0, 0],\n",
        "    X_train[y_train == 0, 1],\n",
        "    color=\"tab:blue\",\n",
        "    edgecolor=\"black\",\n",
        "    alpha=0.8,\n",
        "    label=\"Class 0\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_train[y_train == 1, 0],\n",
        "    X_train[y_train == 1, 1],\n",
        "    color=\"tab:orange\",\n",
        "    edgecolor=\"black\",\n",
        "    alpha=0.8,\n",
        "    label=\"Class 1\",\n",
        ")\n",
        "plt.xlabel(\"Feature 1\")\n",
        "plt.ylabel(\"Feature 2\")\n",
        "plt.title(\"Training data\")\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "42338a45"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Training"
      ],
      "id": "6b233af3-6552-4bba-aac3-9534a0c0b36c"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Intercept: 1.0100587136980153\n",
            "Feature coefficients: [ 1.06044862 -0.48332183]"
          ]
        }
      ],
      "source": [
        "model = LogisticRegression(learning_rate=0.1, max_iter=500)\n",
        "model.fit(X_train, y_train)\n",
        "\n",
        "print(\"Intercept:\", model.intercept_)\n",
        "print(\"Feature coefficients:\", model.coef_)"
      ],
      "id": "fdca4437"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The loss decreases as batch gradient descent updates the parameter\n",
        "vector."
      ],
      "id": "5f9e0bdb-ca4c-4a20-8d62-270ceb8b397d"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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5c6Vp06by29/+1jy32ylWWR7W8gMAwJq8ClQXX3yxLF++XFavXi2NGjWSUaNG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\nAAA+IlABAACIb/4/Eu1LzjDhh90AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(7, 5))\n",
        "plt.plot(model.get_loss_history())\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Mean binary cross-entropy\")\n",
        "plt.title(\"Training loss\")\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "d7b8d0ce"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Probability surface and decision boundary\n",
        "\n",
        "The green contour shows where $P(y=1\\mid x)=0.5$. Let\n",
        "$w=(\\theta_1,\\theta_2)^\\top$ denote the fitted feature-weight vector.\n",
        "This vector is normal to the boundary."
      ],
      "id": "dda314cb-5f0d-4aeb-9940-3df05016ed76"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Dhw8zcUV/ZVPStf6XmLOzM/uFRr0SyW2gX4D0y4l+Geu7GcYTXOjLiJ5DziK5APSXO/Uk\noy8sLVSUQwKSHEhycLS9wQr62MxBr0G/vOkY6Zc63fSbi1MCun5ekT4kZul16cvm2bNn7AuC8rmM\nrzd9idFxk/igYyVBSgnu5AbQddJ3RUlIk8imMPo333zDtiWXiES1tfsznrCR12MS6uSoUr8+6t+m\ndXyNt6Njo2OknnX0JUxfkkOGDGHvmbapMAkNck6oOTEVHFCxEDWFp2tmDmuvgTH0Xum/Bn0myLWh\nXnX0/4XCqPRZpWMi8WcOU9fD0te25DqZwtLjtvQ1SBDS/uiPK3pf6HcDhSz1w7T677Ml75/x58La\n/w95XT8hLP3sW3os1IuRrh+JaSrMo36MdE3odxn9XrD2mC193170c64PFSGRWKSQNIdTHBBRSXRR\nHwSHUxDMmTOH5UTy5rUcDudVhsQiCcz8pmtwOAUNdxY5HA6HwyliKN/0l19+YW4yRVeMc8M5nKKE\ni0VOicFceJnD4XCKM9oxqZReQC2O8kqp4HBeJjwMzeFwOBwOh8MxCW+dw+FwOBwOh8MxCReLHA6H\nw+FwOByTcLHI4XA4HA6Hwym9BS7UCZ96+lEbAmpky+FwOBwOp3CKdDIyMlhj8RcZrZkfaFqX/nSf\ngoJ6fcpkMpR2SrxYJKFIzWo5HA6Hw+EUPjSQQb+5+8sQimVc3BCdYX6oRX4ICAhg049Ku2As8WJR\n2zl/yidnIJXldNHncDgcjoawWKByBUerL0dkgsY9qlTW1uQ20clilPcX/qKNS5WgrI/h11Bihhj+\nnoauVHKGCL7uOZGhtCzAy0XzOFOhmdns4aRZlyVXwDV70I1CkcV+OtuLoFJoJkA52mr2/dmJd7Ez\naAe7/12TmRhfZxS7L0qKgczOXrODhEj2Q2LvBMSGae47uLCfqshgiF1yBJEy7ClELl66x/LnTyD2\nyJkclRH4SPN87zIG55b64B6k/rlHJybfvsd+2pQ1PdM+/vod9tOuYmVYS8yZW7CvWg0FSaZSgS47\n1xtMrHkZkKNIQvFI/1GwNTGnPj9kKpXosnMd2z8XiyUcbeiZhCIXixwOh2NIaAwgkQKyfPwxLZWJ\nUbmcXZ7byGxkgkKxcjlDoZiQTtsCNtmCTisUy/vlCMXULKCMj15KkUJlIBRtJTJotYpCIWFCkVAp\nAEc7zX4fRF7GrpCdgAyo7FwRr9ceBntKVUqKBuxsIdPuwM5WIxQJWxtIHF01+4p4xh6LbTVzm5Wh\nQYCNDKLsx/Lgx5DayCDWm+sskkkh8SlrcL6p9+/CXiaFVMC1kkslsClnfiygnUQCu0q5R7/mRfSp\nm3CvUQuFRVGlfJFQtKMPM6fA4QUuHA4nFxnpiYiLCWI/OSWfqhWtdxUjsl1Fc0QliVEhwLrwXYCX\noVA0h9ZV1MfNyFUktK6ilp+uzYcamkm3Mxu8DyetIAQgs8veQUJEjlCMCc31OvquIiFy9TZc7+Gv\nu5/x5IHJc5D653YOk25pHENzxF+9lS+hyOHkBy7BORyOjoTYZzh1+BcE3j8KtVoJkUiCKrW6oG2X\naXDzNB0O47y6ruKLYM5VJKFoCnIVy/nmdhWF8HM3dBW9XQ0FpL6raIzWVSS0ruLl50dxNOQIu9/Q\noy76lOvG7jNX0QwGrqIezFXUg1xFwecLuIrmyMtVzC/kKjpUq14o++aUXLhY5HA4OqG4fvkoqB3c\n4NF7Kmx8KiErKgjBF7ax5SMnrOOCscS6imo42KpgafQwOkmMOlXo68N09amTnQhlfMlVlBssT0gT\nw8FGCVuJoStoLxXBxyNHMKZmimAroS8pzUGlyQGZCBCrNY+zlCpQdpooezditRIulGqo0riKjnYi\nqJSAWpHB1isVYqizUrDszlKUcdDkDX7V6BNIZDaQK1UQqQGprT2yVGogKRoSW2coad/xEYBICkl2\nIE4lsYHYyU13nEqZHUTOOUWUclsHiF19dI8zgwMBeyeobLLzILNROLpA6lMm1xVMefAIcHGD0sG0\n25t45wFs6zWkU7WKuEv3IfLyBFw1eZfWoQZS0miIdT6ey3nV4WKRw+EwTh/5lQlF39cXQJz9xWbj\nUxkO1VsjcvUMtr7vsF/41SpBriIJRVuZCm3qp8CBTEILxaJKBUglKSbXKzURXkglIsHnSoyWkz4j\n9GsT1GpAIhYZbCPRMx/VYjVYdxbSLtnPF2l0IaQUZE7V7kcNsUiEjEwgXZGKD2tPZ8ttJbbwsfdE\nTEqm5qDgAFDYmxSm1AuibFEK5wqAKPuFKfHR1y3nsVIBVM5xDNXUusW9MiDOORF1QG2IjIouVHI5\nRNWbCV47Vb3WEEmlyAmiG63PyoK4VScopNZ/fTt26wmxNH9VvXQd1UolVFduAhev52sfnFcXLhY5\nHA7LTXxy7whzFLVCUQs9dm4xCE/2LWLb2dlrwnGckoAatSulwcvDFm7uvjkiyAxKpYgVoeS5jVRk\nUkQaryMHT6q3TJ1tmUklRs/LFpkqUpIkLrWHS4JQnCNqtMvV2Tsi0alWqfA0OQheSk3FckWncrCX\nZX/WVQqI9ASgSCtStX37tOJPIYfuhQi5POcg6fWysgBJjhhTZ2Vmn4jhV606M5Mqf3JdHxUpWlYM\nY/oCKzMyINIrnLEURYpGSYttTVeum0OdXe0c3dpG4xVzwViq4GKRw+EgLTWO5ShS6FkIG+9KUKuU\nbDsuFkuOqyiTquDvpYSLq59F3SIUShGrnNYXdia3oZixERQylskEhKLEUECS0SfT+3YSq3OEIluv\nVkOqJw4JEoj69zXrVDp3Mj4jBlmiLPat52bjCrfsHETmFsJGIxaVcib2RFpBSM/VCkV5luagtC4h\nCUN7O0MBqG25o11G+zYShSoSe0bb6a6FRA6RjWkxp0xLh0QszuVUWgI1yRa/YEsb1pbGwxMRTepD\ndeUWD0mXIng1NIfDgYOjBytmoRxFIbKigyASS9h2nJJT1CKTkiMnglhseWjSxibvWLWNgFBk+X8m\nMBaKBs/LdhWFhKIW/fC0sauo2acCkWmanokiiOBnn5NTyJbpOao6oUguojH6QjEP1JnZMXH9Y8/I\nvUyLMj3drFDUHV8+nEFFsmE1+ItgK5FqxKpTdtU4p1TAxSKHw2FuIVU9J1/YBlWW4RcLPablVWp2\n4a5iCWuVo5NoFlS2kGP4otsIuYqC2xnFvPRdRX0MQ85GqjI7/EzEZsRCrtKIPw9bN9hJbfVcRe3B\nCIhDfVfRGL3QsqmwstAyoRAzCcW8IFfxRXhRV1GLSNdHkY/PLU1wscjhcBjUHkeUlsCKWVJuH0FW\nZCD7SY9pOa3nlO5WOcXRVdRHKPysVGUhOj2K3ReLxPAtYFeRCUUhV1FPKF68eg3btmumxZjiVXAV\nOaUXnrPI4XAY1EeR2uNQ1fOTvYs0fRbFEuYo8j6LpbsBd2G5ikJFMKZcRW1Ri6Wuopbo9Bgo1Zp2\nL952nrDJLkC5eOE8wsMjMHBA/xdyFTWPzYfxj58+jdNnz2Ngv36vtKvIKb1wscjhcAwEI7XHoapn\nKmahHEVe0FIyKI6uoj55uYpbNm1AZHgIu6/VhtqiZZrGMmzoMJQtV87AVZQrMxGTrmm2LRVJmFjU\nvJgCaWlpiE+IF3YV9VrfvKiryJYJNAx/Wa6iUqnE/iOH8Sw0BDWrVEWnNm2t3g/HMq5fv45Vq1Yh\nJSUFXbp0wfDhw81uv3//fhw8eBAZGRno27cvevfubbA+MzOT7e/SpUuoXLky3n33XTg7O6Mo4GFo\nDoeTCxKIHl6VuFAsYRSWqxgbm4Dgpw+RoCe+CtpVjI+LRWRkBLsdOXwAC378jt2PiAxnP7OysgyK\nWoiotEjdWD8fe29IxTkv0KljR7wxbpywq6iFXEXjymMzrqJQUUsuMfoSXUW5XI7+kyfi8x/m4va9\ne5jy6ScYP21qvvfHMc3p06fRsmVL5nJXr14d06ZNw6effmpy+2+++Qavv/46fH19UalSJbzxxhtY\nsGCBbn1SUhLb34oVK1CnTh32Xg4ZMgRFBXcWORwOp4RTWK5iUOBjfPftFzi4bydUKiXEEgl69hqA\nWV99j0qVqwq6ikLLjFvlGLuKxJS332U/6ct4+bIlCHzyGN/PW8AeX7pwFvfu34VMJsW5c2fg4uwC\nvzI+2LB7A3uOl6cnhnQZCJ9qXrqilouXLiMsLAwD+/ZiQu7s+QuIjY5C40aNcOzkKajkWejbozs8\nvDR9GeMiI/Hv2g0YP3Y0PD08BF1FhUKBY+cuICj4ORrWq4vmjRsJVkDfuncPh46fYM25vbx90KZZ\nM1SpVNFgm9MXLuDug4fwc3dHty5doO8rnrl4EXcePECAnx+6tW8PWwHXkVzFdTu2496jR7h++Cjc\nXFwQEhaG+l064fDJE+javkPui8zJN19++SXGjx+PX37RDC5o0KABcwo//PBDJgj1oT9s5s6dizVr\n1mDo0KFsGQnMkSNHYsqUKcw9nD17NntfT548CUn2HyxRUZrc26KAO4scDodTCihoV5GEYp9e7XD8\n0jW495oK/zcWwb3nVBy9eBW9erRh64VcRbbMTJ/GvHIVDcLP2esOHz6ET2d8jIED+uLM6dNITEpE\naEIoYqNi2e3G2Rto3bY9tm3fritqOXb8OP5ZsUK3z0MHD+GjmbPQb8gwnD13ActXrkHDth2Zw0NE\nxcTgkznfIDxC04LH2FUMfx6M5j374pM53+LazVuY/sWXWPj7/zQrjdxJCjuGh4UjMjoGR0+dRus+\nfbF97z7d+umzvsK496bi5q1bWLttO7oNG8ZCksSHX83G+Kkf4Pb9+1i7eYvBOmMOnDmNPl26MKFI\nlA0IQLsWLbD/+LE8rz8nh/T0dIMbuXz60OMzZ86gn15OKoWhbWxs2HJjSPSRYKxRo4ZuWc2aNdm+\nz58/zx5v2LAB48aNw88//4zJkyfj119/haOj9f+HCwruLHI4HE4JprBcxbnfzUKmzBneo3OPh4xe\nOwPffvM5VqzelC9X0bhVjnEDbn20RS5xcbG4fecevLy8kC5PwePEx5hWdxrsJLao7loFe/bsxacz\nZ2JQ/74mw8Mpqam4dPo4XB3soVKpUL1JC+w5cAgjB/SDp7s7PnzvHXh5CruKn82dB39fX+xct1rn\nBF25dFnw2jVr1AiNa9bU5SruPngQM7+di4G9e7HHOw8cwN8//4SOTZqyXEVyEbXnvuvgQfz10wJ0\nbqvJPdRfp+8qUlELOYkNatcxWFcuIIAtL4k4+trBLh9jEE0hyZ7g4+mZM/ubINdvzpw5usdxcXFM\nMPr5+Rk0Qffx8UFERESu/ZYpU4btc9++fahfvz5btmfPHvYzPDyciUZ63rx589C/f380btwYa9eu\nxfLly3H58mVBJ7mw4WKRw+FwSjgF7SpSbuKBfTuYkyg0HtKx2SAc3LeYbefm5m5xqxxjhFxF/Qbc\nOajRrHkLJhSJiDTNF3TQoyBE3AvHvqS9SElOweMngcjMzIIdVQfr5zdmt8pp3qwJXF1dWa6iWCZD\n1cqVERGpcRK9/fyw4LuvBfsqUq7iiTPn8MPsWTqhSDSqV9dkX8X7jx/j0u27iE9IQHJKCp48fcoc\nRzq2Yf3748u5P2DS2LFo2aQx6ug5UEP79cNXP87H89CwXOtyXRW1OlcLTRLH5qrHObmJjY2FvX3O\n51xqJEi177mx40juof7nQfceiET4+++/mXN44MABJizpuSQC6abpYwm0a9cOixcvZvdHjx6NgIAA\n7NixA8OGDXvpbxMXixwOh1NCKSxXMSYmCiql+fGQSqUCMdFROrFoSQPu/LqKhFN2iC45KxEp8hSs\n+H0F1v61Fr179GQiUs4KYNRITEzUiEVjRDTPWmbQKoe+tFVZhgJAyFXUnJ/KQBiYm9ay4M+/8Nuy\n5ejeqSO8PDwglys0x5aczI7thy+/wM3rN3Dq8hV8/v0PiIiKwvaVK+Dt6Ynvv/icuYknz57LtU7f\nVSQCfH0Rli12tYRHRqKMv7/JY+Pkxt7e3kAsGkMuoYuLCwIDA1lRCpGamoro6GhWxSzE4MGD0bZt\nW1bpLJPJUL58edSqVYs5jfQZIGFIeYxaKI/R39+fOY9FAc9Z5HA4nBJMfl1Fc61yvLx8IBabHw8p\nkUhZ8caLNOA2KQ71VulXQFNv0MhUjau4679dWPjzAqz8918sXLAAvXp0z95GzSqgte6N2QbcWqRS\nxMXHY+HiPxAbFy9YAd2yaRNs2bnb4GmBoWGCruLqzVvw69xv8e+i37Bgzmz07Nwp59gAJhTr1quH\nt98Yjy3/LIdCIWfhZ4KEIrmJQuuMG3B3atsWB44dQ3q2cI2Nj8fJ8+fQpW273OfMyTcikQgDBgzA\nsmXLWKsigkLGJCDJHSSoBc63336rew7lMpKL3adPH3Tq1ImFteknCUZi0KBBrK2Odn/3799HUFAQ\nmjRpUiTvFHcWORwOp4S6ioXVKsfJ2QPdew3A8UvbWI6ifiiaxkOmXtqGnr37W+UqssdWuIr6aIVf\nYmYi0pUawdS4aSPM/34Bgp8EIyYmGkeOHs0+QIGeh9q+ikatd9jjbIUaFR2DT76cg+7t2sLTx1AE\nk3j8/ssv0GXgEHQfMgxtmjTG9Xv3Ua9WLXz96YxcL9e8SWN8u/AXPHwSiNi4OBw5ddqgVc7bn32O\ncmXLsuc/ff4cT5+HoFWTpmz9lBmfsLxDoXXsVPRc0zeGj8SqTRvRa/QIdG7bjuVCNm/UGH27djN7\nPTnWM2/ePHTo0AENGzZkuYtUqEICUetiX7x4kfVhpKppbWibKqapyOXWrVvw8PDAzp07dfv7+uuv\n0bVrV9StW5dtc+LECXzwwQfMjSwKuFjkcDgcjtUNuL+a/T3O9WjDilkoR5FCz+QoklC0lSfjyzk/\nFIqrSMKxYcMGeHPCRJ2r2LJlK1SqWAGR2bmKxLIlf2PHlp149OgRqlerhpkzPsbPvy2Co4MDy9tr\n3qwpvD09dNu3atkClcqXNWjAPaRfX1SrVpU99PRwx/S334KXj69gX0VqfXPrzAls3b0Hz4KeYuKY\n0ejdtQtbRy10fLy8mKtIRS1/zv8R/+3YgUeBQahepQpmvPcufvt7KTs24viO7dh96BBu3r2LBnVq\n48sPp7NKZrZu21bBdUJj/ezt7HB001Zs2LENwSGh+OitKXitbz+WI8cpWAICAnD79m0cP36cNeVe\nvXq1QcEL5SdSsYoWut+sWTOcO3eOPbd58+YG7wuFtilETf0b4+PjWQ/GatWqFdnbJlKX8ExXqipy\ncHDAe19cgVTGRx5xOJySj6WuoqOdEp2apiKgTEVIpTY6V9GcWNRtIxNp+ix+8zn279vBchgp9EyO\nIglF6rOo7yoai0VzuYr6M6C1X1EkFvXva9blTGuJTY9CWKom7Otu64YKTmUNnEQ2Azq7AbfgtBZt\nrqL+tBa9QgbjohZT01ooV1GoqIWdZ7ZYzKsBd36ntbyMsX5ZSiWCI8KhWLUZSNS0FdKSoVSg7bbV\nbDqOuRy/wvqevzZlUoFWQ2coFGi0ZOlLP5/iCHcWORwOpwTxMsf6kSBcvmIjq3qm3nGeXj7w9s5x\n6/LrKmqFolAhi75QzNmnHFHpmobFIojgZ28YJmZCUXtfXygaY2KsnxBC01rMFbXkJRR1x5dPocjh\nFCZcLHI4HE4Jo7ByFU1tQ7mJzi7ugmP98pOrqIWcRP3wszFaVzEmIwaKbAfRy84DtpJsZ0+lyBGK\nQmP9jF1FffJwFTXb5F5mqlVOYY71I16Gq8gpvfDEBQ6HwykhvExX0RJR+CKuorlWOfrhZ4UyC9Hp\n0ey+WCSGj72m16IQ+XEVhVrlmAo/m4O7ipxXGS4WORwOp5S7isoXcBW1CLmKQmP9TLmKeRW1mCI6\nPQqq7JC0j50XZGKZ9a6iQKscw8e5W+UIwV1FTkmFi0UOh8MpARQnV9HSsX7GWOsqZikyEJsRy+7L\nxFJ42XmabI8jWNRijAWuouZAuavIKV1wscjhcDil2FXMa+Serkm3gFA05SqyZQKuYq5trHQV9Yta\niKj0SKizO3T72ntDqicCBV1F4/AzdxU5HIvgYpHD4XBKuatootNLnrBQswVFLXm1yrFmrJ/WVcyQ\npyI+M57dtxXbwN3WPW9X0VxRyyvoKvKiFs7LgotFDofDKaWuYnSS+IVdRWuLWozJr6sYkZYz89jP\nwQcS/fY4eq6iRUUtRZirmB+hyOG8bLhY5HA4nFLsKkpNtK3Jq6jFUleRKGhXMTUrGclyTUNoe4k9\nXG1cTI/y06eIXMXDJ09i6erVKCi4q8h52XCxyOFwOKXQVYxIEKOcv22Rt8ox5yoKNeBWq5WISAvX\nPfZ38GEtc6x1FQ+dOIkly/99Ka7itZu3sPfwkQJxFXkDbk5RwJtyczgcTgkf65cf8tMqJz8NuM25\nivr8sfg3BAYGIkuZiWR5smZfYhlcbZzZ/fffmYJqVata3IDb08MDWVly4bF+Qlgx1o+wZKxffrE0\nV/Fh4BMsWbVS93jiqDGoXb36C702p3TCxSKHw+GUMshVrFyOBIeiQFxFGvcXGRkFfz9fuLm7F4qr\nWL5CBUilUtZX8fmF57h48iK+mPUZbLKntTjYO1g11q9xwwamR/tZ6CoKYUmuIju+l+AqOto7oHrl\nKuz+J999g27tO5RosWjvZg87mcCknXwikgt8dkopXCxyOBxOKXIVSSgWlKsYFPgY383+FPv27YRS\nqYJEIkbvPgMwa86PqFipar5cRVNj/QYOHIT4jBiEpIRALVbj7rW7mP7eB2z9vr17cODQITSo3wCH\nDh1korVmzRpYt2EjU61eXl7o1KE92rdoptvnoaPH8OTRY0yZNIE93nvwEMJDQtGoUSN2n8TsiMGD\nULVsABOPkVHRmPvzL/hs+gfwdXUVdBUTk5Lw3+YteBoWjkb16mJI376CruKFa9fw35697LGnhzs6\ntm6Nti1a6LbJzMzElj17cPfBAwT4+WH4wIHwzBbhcpEIW7dtxd1HD+Hv64vh/XPWGVPG3x9Txo5j\n9z+d+63gNhyOJfCcRQ6HwyllRS0aVxEv5CqSUOzTtQWeXt6Lf/rZ4Ppbjuxn0MU96N2lOVtvyVg/\n4UKW3LmKKpUCkXoV0PrVz5cuX8Hsb77F1OkfQiKRoEyZMnB1cUXNqlVQs3o1KBRKDH99PJb8s0JX\nAX31ylXsOXg4Zx9XrmH2jz9h+uezIJPJ8PDxY7To0h2R0ZpRgvGJCfjznxWIiYgQvF6Pg4JQr11H\n7Dp8FC7OTti6ew9mff+D4LauHp6oXqUKu9GxjXnnXSxds0a3fvLHH2PR0mVwd3NDcEgoeo8aheRo\nTZugtz6dgcX/LIe7qxueh4ai79jRSM+j0IbDeVG4s8jhcDivIEXtKs6dMxP+tmk494YtnLKnvzTw\nk2BwLTVa/ZuG77/5FCvWbMl5nomqa8OQs7CrSMRlxEKu0oQFHaUOEEFkUAFNzz28ZwccHBx0Ieja\n1arochW7tG+DsW+9o3MSGdn7Zs9XKmBjY4ODWzexn0S9lm1w8OQZvD58KPx8fPDrD98xN0/IVZz5\nzXfo0LIFVv7vD92y4NBQwVzFWtWrsZuWzm3b4M1p0zFpzBj2+Oyly/j7p5/QqW0b9jg8Moq5tpSr\neO7yZSyZvwCdWmvWRURFQaLfR5LDKQS4WORwOJxXiOLgKlKO4t69O5iTqBWKWujxjJZiTNi1Ewnx\n8XB2c8/TVcxrrJ9SlYWo9Ch2XwwxXLKLWnSIRGjSuLGBUFRlZeLA4aO4eOUq4uLjkZaaitCwcKSm\npsLRKK9NW9TSsF5dnVCkXMVyZcsiJlYzTtDN1RVvjx5l8rgvXr2GX779xmBZ+TJlBHMVVSoVDp04\ngUvXryM+IRFp6ekIi4hAaloaHB0c8MGkiZj6xRcY2r8/WjZpjNZ1G8ImW6BOnTAR076chdf69UPL\nRk3QrmVL3TFzOIUF/3OEw+FwXjGK2lWMiY5iOYoNfIVnLNf3lUChVCI6OsrsWL+8XEUt0ekxUKqV\n7L63nSck2spmlUJX1GJnJJg+/vxLTJ/5OZRKJapUKI8qFSuy5ckpKZoNjN04sYSFsI0xPi5TrXJs\nZDJkmSmIUOup7ZnffYcZX3/DrmHlCuXZTf/Y3pswASd37kCTBvWx/+gxNOnbC89jNH8lvPvGmzi+\ndTua1KuP/cePolG3zngWEmLydTmcgoCLRQ6Hw3lFKA6uIuHl7cPCojciNQLOmJuRSkglEnh4+eRa\nZ0kDbn1XUa7MRGyG5sQlIgm87T1NHrt+BTQVqXw96wt889UsTJ0yGeXKl9Oso3Y5egi1ymEV0Eat\ncsKfP8cHX85GeGRO3qQ+Hdu2wYoNGyDPFox0fuQ2ClVAkwD86qMPMfvjj/Dum2+iXIChA0muo7ur\nK/p07Yr5M2bCxckZR0+fYusOn9Ss692lKxbO/houzjnrOJzCgoehORwO5xWiMF1Fc2P99Psqurm5\no1fvAVhwfg/LUdQPRadkqbHgvAq9+/ZnbXRMuYqWjvWLSouEKnuZr703pOKcry1dqxxVbtHat1dP\nfPDxJzh46BBi4uIRop8/mI8G3PGJSViycjUmjx/H8haNW+V8O/NTDHh9HJp07Y7mjRvh9r37GPPa\nEHZfJTdsUdS7Sxd8NHsOawweGx+PkLAwg/V/rVqNOQt+Qr1atfD06TPEJMSjS7t2bN3fa1bj658X\nol7NWnga8hwxcXG6dcZQWPvL+fM0l0ilwvL163Do5AlWQd2icWPB53A4QnCxyOFwOK8AL8NVFEKo\nryIt++yreejf/RgrZqEcRQo9k6NIQjE80wHL5/yY63nWjvXLVKQjPjNe14Db01aT/9i2VUs4fPmF\nbvtePbqjZYvmOX0VxRL89MNc9OvRDQ8fP0FAQAA6tmuDFStXs0plolunjqhTLafIpFfXLmjRtImB\neHz7zfEoGxDAGnD7eXvj17nfIkBPKOo34Pb19saZPbtw+sJFBIeGYNrkyahbqyZb36VtG9StU0e3\n/bwvZ6FPt654FBQEfx9ftG/VEqs2bmIuIbF5+TJcv30b16/eQO92HdC5Yyc42NuzdRv/XoYbd+7g\n5r27zHns1Katbl2uayqR6PosLvhytm659nU4HEsRqfNqm/+Kk56ezpKe3/viCqSy/P2y5HA4nFe9\nr6KQWLS3UaBN7Vj4BlSCvb2dVTOgaaxf4JPH+G7Op9i7ZwfLv6PQMzmKX339IypUrprLVdQXi8au\nIj3WuopasRicFITErER2v5xjGXjauefKVdROa2EhaG0Dbv1pLfp5iELTWoRcRQuntWhdRUumteS3\nCbel01peFllKJYIjwqFYtZkaSxqsy1Aq0HbbaqSlpcHehIAtzO/5+zOnFmhT7gy5HDXnLXrp51Mc\n4c4ih8PhlGJX0bgHoiVCUbffKlXxz+otiIuLR0JcFLy9fVjomfZpzVg/IVcxXZ6iE4p2Elu427oa\ntMoRzFUUGOunw2hSizVj/cxhTijqtikhQpFTeuFikcPhcEpxriJBLqE16G9PY/0oh9HbS3iKSH5z\nFSPScppf+9n7Qqw/yk/PVcxrrJ8B+chVZK9nxlU0B7mK+RGKHE5xg1dDczgcTil1FWNTRPl2FfXR\nH+tXEK5iSlYiUuQpugbcLjZOJl1FA4qhq5gfuKvIKW5wscjhcDgl1FW0pKhFKjBZxZQoFHIVDZ4n\nMNbPnKsoNNZPrVYauIr+DqXLVSShyOEUN7hY5HA4nBJa1GKOqCTz2+THVWSPrXAV9dG6iomZiUhX\naASTi8wZTjLH3K5idlGLxa6icVGLEBYWtWixpKglv/BcRU5xg4tFDofDKYFY4iqW8ZUVL1dRpUCk\ngato2NRb5yoaNeDO/UISwfCzta6iEOQqFmZRC4dTHOFikcPhcIohJdVVFM5b1DwvLjMeWSqNwHO3\ndYO91P7FXEV2EKZb5eTXVTQHdxU5JREuFjkcDqcUNuCuEFC4rqJWKAoXsuR2FVUqOaLSNaP0RBDB\nz76QXEU9hFxFc0Ut3FXklFZ46xwOh8MphhQnV1GotU5erqIWoQbcQq5iTEYsFNkOopedB2wlNiYb\ncBemq/iiRS3FIVeRRvsNnvAG/vh+Hsr4+6O0YOvmUKBNudXZc7453FnkcF46GemJiIsJYj85nFfB\nVdTHGlfRXKscchW1QlGhzEJ0ehS7T5XPPvZeJl8/P66iUFELcxWLUQPugoTE4uFTJ5GSllag++WU\nXrizyOG8JBJin+HU4V8QeP8oaw8iEklQpVYXtO0yDW6eFfj7wHnlXUVLG3AbQ0JRlR2S9rHzYnOg\njV3FGZ9+ijt37+U8ifYnyj42tQo/fvs16tetY3WrnGmfz0Lf7t3QtWOHEuEqcjiFAReLHM5LEorr\nl4+C2sENHr2nwsanErKighB8YRtbPnLCOi4YOUXnKqpzfxkIOY3kKuoLxaiYGKxYvgS7tm9GamoK\natWui0mT30aXrt0FX1vIVcxSZCA2I5bdl4qk8LLzFGzA/dqggejauRO7v2/ffmzcuh3//v2nZqVC\ngbIBAflqwH3u0mU0ql+vxLiKHE5hwMUip8RD4d601Dg4OHrAzj57vuxL5vSRX5lQ9H19AcQ2mgpP\nG5/KcKjeGpGrZ7D1fYf9UiTHxik9rqKQUDTlKuY1BjDwyWP079MZaWmpGDp8NHx9/XD86GEMHtAL\nU6d9hG+++1HX8NvcWD8qalFDs97XwRtSbQ6iUQPuFs2aakLQCjmeBgXB3t4OPbt11eQqSiTYd/Aw\nduzZi8T4BLRt3RJTJrwBSXZY+uqde1i+ag0Tt43q1MIHkybCwUWG+YsW43FgEH758y/8t2UbalWv\njp++mSPoKh44egw7DxxAUnIyWjdrhsljX2f7P37mLP5c/g+WzPsBrtli8ct58+Dp7oFpb01mj0dN\neRspaamwkdmgWqVKeHfCmyibnUuYkZmJUdOmYub7U7Hr4AEEBgejecOGmDphEnYfPoSte/fA1sYG\n745/Ew3q1NE9Z8SUyfjqw4+waddOhISHo2WTppjy+ljdORujVCqxctN/OHvpEqRSKfp374HeXbrq\n1u86dJC9fmZWFrq0bYfXXxsKkda55ZR6eDU0p0S7ebv+m4a/5rfDqt/7sp+7N05ny1+2WH1y7wic\nWwzSCUUt9JiWP7l/hOcwlnJehqsohMYtFFntKr418XV4efvg2s3HWLBwMT6c8Tn2HjiKpf+sxqJf\nF2L/vt15jvXLUKQhPjOe3bcV28DD1t3kWD9drqLmgUFRy7yFv+Cd6R+hQa1aGNS3N/7bug1vvP0+\ncxWjY2LRqd8AeHp6YMyw1yCXK/DWJ5+x5/Xo3Bm+3t7o2rYN3p/wBoYO6Cd4jRb8vRTvffY5E2sD\nevXExp07MXH6h2xdh9atIFfI8c6sL9njf9dvwLqt2zBqyGDd8yeNGYP33nwT44YPY0Kvbb9+SE5J\nYa6iSipl+YVvfzoDVStWQt+u3fDbsmXoNnwoNu7cgYE9e8Hd1Q39xr/OhCqhUCjYc0a+PQXlypRB\n785dsGzdGrz/xecwxfApk7F2yxZ0a98BrZo0xYdzZmP5+nVs3ZFTJzHlk4/RtEFD9noXr1/DouVL\nTe6LU/rgziKnRFKcwr7kalKOIh2DEDbelaBWKdl2ReV8ckq3q2htq5zr167gyuUL2HvwJNw9PAxy\nFYePGI31a1dh2d//Q9++/cy6ipGpOQ24fR18IMnHWL+E5BR8M28Bju/bheb167Fcxa5dOqFMjbr4\n5pOPEJ+SyopmvvhoOmygRv+unZGUrgk5N6hbB87OTqhbswZ6duuWa9/kKiYkJWHuL7/h8OZNaNao\nIVveuW07VGzSFHM+mYGyHp74+8cf0XrQIHw0ew5Wb9qEbSv+hY9XTpFOp7ZtdPf7de+O+48eYfu+\nfRjZs69u+bwvvkSPjpow+8MnT7B5zy4c+m8TcwpJwP23cweu3LqJTq1z9vX51A8wbthwdr9+nTpo\n2acXvvhgGhPA+hw9fQoXr13F3ROn4eSo+YwF+PrhvS8+w4SRo/AoKAgN6tTF5DGvs3WDevXWCVMO\nh+BikVMiKU5hXwp/UzELiVU6BmOyooMgEkvYdpzSSWG6iuaKWhLSxJBIrG/Aff3GNTg6OqJV67a6\nZfoV0N179MbPC+eZdRVTs5KRJE9i9+0ldnCzcTHpKhqgDVNna9B7Dx4iMzMTs7/7XrMgO3QqFotw\n//FjdO/aFeNGDkezTt3QoVULtGvTGv179oBJJWzEg2fBbP/f/LTQ8DBEIjx8/ARlm3vCw8cHv3zz\nLYa8+SamTZ6MNs2bG2x74coVbNi+A6ER4cxZJHH25HGgpqglNZVtU6NKVd32Hu5uzGXUhpQpHOzu\n5oqERMMOCs0bNdbdr1O9BpwcHPEwKDCXWLx57y6rkB7z3ju6ZXQcdDwpqakYPmAgDhw/hk5DBqFD\nq9bo0Lq1gSjlcLhY5JQ4tGFfchRNhn33LWLbvQwnj16Dqp7J1SSxqn9Mqqx0JF/Yhio1u3BXsZST\nX1cxv0UtcakSONgo89WA28HegQmo5ORkODk753p+bGw028bkWD+1EhEGY/18mftnratIuYouLs5M\nTE0ZPw62Djn/t6ZOfBONGjZk636d9z3SEhJw9dYtrNi4GT/8sgiXjhzIEWOS3F+F2lxFFycntg/K\nUaTcQS3vT5yAulWqsKIWygdctHQpalWrhm179+KT996Fm6vmd8uVmzfRf+w4fDhlCjq2aQ17Ozss\n/P1/SM92N3PO2VC0W5IvSKFsLXK5HOmZGex4jXF2coa3pyfLe9Tno7feZudEbuO2f1YgPjGROZA/\nLP4N2/btxaJv5+Z5DJzSAc9Z5JQ4rAn7viyoPY4oLYG5mim3jyArMpD9pMe0nNZzSif5HetnCXm1\nygnwkuZrrF+PHr1YkcSqFctyuYppaWlYt2YV+g8YlGs/WlcxOSsJaQqNo+YkdYSLjbN1Y/2UOdvV\nqFYVNapWwYPAQPTs2oXdurVpjeCQULi7ueHG7Ts4ceYsK4hp07o1PnhrMm7dvYv4hARWAe3qSo6d\nxuEUqoCuXqUKuz0gl7JTR3br2qE9K7Jxd9G4od/98iti4+NxatdOltf41owZun3cuHMHFcuVZQJy\nQM+eqFOzJnP/RFLhQhRr+HvNKl2Yf+m6NfB0d0ft6jVybUcFK5HRMbCxsUG3Dh3YrWWTJgiPioRM\nJsO+o0cQ+OwZ3F1dWSh8WL8BOH3xwgsfH6fkwJ1FTomjOIZ9KT+S8iQp/P1k7yJNn0WxhDmKvM8i\nJz+8qKv4ImP9KE/xnfem4+uvZjLROG78mywsffvWTXz26YdIT0/DlHfeE3YVVUpEpmnG+mldxXyN\n9cs+THr9Dcv/xti338fSFatRxt8Pj54EYkDvXsw59PLwwMdfzGLisWyZMkw8vjPhDXh5ejKxOKRv\nX3zx/Q/Ye/gw6tasyaqh9fsq0v7X/vk/vDH1Ayxftw4Bfn54EhSEvl26QOrggMMnT+LPFStwcsd2\nONjbY8mC+Wjdpy8WL1uG9ydORK/OXfDj4t/RoJOmmCYkNJTlCxYE1HS7YdfOcHF2xpOnT/Hvr78x\n55IKYPSpWK4clsxfgDc//IDlUjrY2SM4LBSfvvs+W08u6NDJE2FjI4OjvQPuPXqI+V/OLpBj5JQM\nRGpznVJLAOnp6XBwcMB7X1yBVMabnpYWqOo5OOqhQc6iNuxLbl55n+pF1qqmOLTy4bzarqK2qMWS\nXEVTYrGcrxS2kizU8XuOsuUrQSSxFRSL+q4iiUVdA26VCnO+moklf/wGsVgMFxdXREVFolr1Gvh3\nxRo0aNhIsK9ifEYMQlJC2H1XGxdUci6f/WKKHLGY7SoaiEW9sX7PQ0IR+Pw5OlDhCPVVlErZ8ZCI\niwgNQ61ateDp4WHQhPvJ81CERUSgSqWKTPCRUNQ24H76/DkCnz6Do4M9WjRpIjgDmvZP20TGRKNa\nmbLMxaMQ9KXr15lIrFMjx9F79vw5goKfs7AzQSH767dvQ6VSo06FygiOjoZUKkH1ylVYCPvo6dNo\n26IFE3rs+SEhiEuIR6O69XT7PHv5EqpUrAhfL2+WZ+jXoC7uHD8FiViM5+FhqF29OlydNU4nfa2T\niKUWP44ODrp90HE8CgpEekYG6tSoyY5b994qlbj78AFS09NZOF27L2OylEoER4RDsWozYOTIZigV\naLttNXOX7fX2/bK+54PmzYR9AY77S5fLUWnmvJd+PsURLhY5Jb4amnIUKfRMjiLlB1LY91Vvgm2N\n4EyMD0V0+F1IZHYoW6EJZDY5Xx6coi9qKaxcRVMV0FpXUUgsCrmKWrGodRWNp7UkxEZj756dLH+x\nXv16aN++I8u3M3YVSSyqVAo8THgAuUoOEUSo4VoFdlI7wRnQuVxF/RnQxmP9zMyA1k1r0VumbcBt\nalpLXg24aVrLizTgftFpLfpisULZsniZcLFYOuFhaE6JpKSGfa0ZGZiWEovDu+Yg8MExXemoja0z\nmrQej+btJhv2reOUqrF+JBSNcxWFUuhMjfXTQrmKXt7eeH3cm2bH+mldxbiMWCYUCQ9bNwOhaFGu\nYnZfRcODMC0Uc7bJvUxIKFoCH+vHMUVSUhL279+PlJQUdOjQAVWqVIE5IiIicPLkSeaMNmjQAA0b\nalozGXPu3DlcuXIFQ4cOha+vYdrGy4KLRU6JhcQThZpLStjXmt6R8qw0bFk1AfKsdPQZ9jMqVe+I\nzIwk3L6yCRdO/MnWt+2maSrMKT1j/V40V1G3Xq3WFbUIIZSrqFRlISo9it0XQwxfe+/85Soau4pm\nxvoxV9FIKJob62eJq1gcxvpRuHrb8hUGvRw5RUtQUBDatWuH8uXLIyAgAFOnTsWff/6J11/X9K40\nZu/evRg2bBg6duwIT09PTJs2DWPGjMHixYtzCcrhw4fj+fPnaNq0aZGJRW4tcEo8JBA9vCq90kLR\nuHekU90urHiHftJjWk7rtdy9vgMJccF4bfy/qFa7O6RSGzg6eaFFh7fRvscnuHpuJVKTo4v0fEo7\nxcVVVNFcaIGxfqZcRf0G3IRhexzTrmJMegyUak2rHi87D9hIbATDz/l1FTWPLctXMxV+flVcRSrc\noYpmbY4jp+iZOXMm6tevjzNnzmDz5s349ddf8d577yE1u4+mMd9//z0mTpyI3bt3Y+XKldixYwd+\n//13REbmFH8RkydPxvTp01HUFLlYJMvWz89Pdzt79qzBerqQ+uvpZkqpczglFWtHBj68vQ/VanWD\ni1tArn3VbTwEUqktHt879NKOn1O8XUV98nIVjVvlGCNU1CJXZiImQ3PiEpEEPvamHTHBopaX4Cqy\n134FXEVO8UOtVjOncPz48br+mKNHj0ZGRgZOnTplUvBT2yYtbm5ubJl+f81///2XFSW98cYbKGqK\nPAzdqVMnXL9+nV2QihUrIsvolwBdbGdnZ4MLbsf/muKUMqwdGZiZkYyACk0Et6WuAA5OnmwbTtFQ\nVGP9jF3FxAya4MK+7fLlKhJCrqLxWD8KP6uyl5FQlIqllrmKWvSLWixwFXVFLSXQVSxq1Lr3ukQ3\nUjEg3ejzQe2UqD+llpiYGJanWKFCTt44VU97e3vj2bNngvtcuHAhE4G0bw8PD2zcuJEt8/HxYesp\n7PzVV18xp7I4UORi0dbWlrmFJApNQWqbtuFwSivW9o5096qI0GeXBfeVlBCGxPgQuHtWLPTj5rx8\nV1EIIVcxIV0MqVjCdKJSIYfMxk6wVU5+XEXNfY3AzFSkIz5D0wBfJpbBy9bD5Fg/U61yDLDAVdQc\nKHcVC4NMpQJqpZKaPKK4YeviCFubgmudo8rS/AHj6elpsHz27NmYM2eO7rH2/4J2IpAWekwtl4SI\ni4tjLuLjx4+Zw0gaKD4+Xre/CRMm4PPPP2c5kAkJCUBpF4uWEBwcjOrVq7Pu861atWJvUpkyZQS3\npZFH+g1Jjf8i4HBeRawdGVivyTBsXT0RD27vQ426vXK2VSpw6uBPsHf0QOUanYrkXEo7xcVVJHw8\npEjKdIRDXBQ82Mg7MaDK3VdRrsxxFVXaQ1GrQdpOqf9lKTZslUOEJ4dBrdCs93Jwh0KhhIKeZeAq\nZvdYpOdof3+Lsw+EHrMXyn4sV2hKt+WaL3I1rZfINMvpcZZWPBrmYTKBQwLSqGG1KkOzvUghPPqQ\nHZ621Q7tw0oUKhXEFLrOx3OLE+psoRgdFwvVlZuv/PlYQ2xsrEGfRXIW9SFnkPRJWFiYbhnpkKio\nKPj7++faH62j4paff/4Zb76pGcFIuYokDNu2bct6Xl6+fBn9+vVjeYxaHUO5kBR9bd++PV42xV4s\n0sUKDAxkv4zIliWhSKHra9c0g+yNmTt3Lr7++usiOVYOpzCh9jhU9UxNxYV6R+qPDCxXuSUathiD\nfZtn4NGdA6hcoyMy0pNw99o2xMc9w4CRf0AizV/rEE7xcxXNFbVoG3Abu4oaRIhM94W95BlS059C\nqtcahwpf9J1C+h2s67aUbSrmpFepka0NNdtlr8hSZiI6uwJaJpbC1l6GBFFCTmKkdgcqam2VfZ9E\niFZEat1HI1GpdR2ZUNR7rFkmh8jI4VFlC0uhGdDkHomMQ9q5tsnKcxshlJlyiC0suinu0PtKgpsJ\nxYvXUZqwt7c325SbxCNVNW/duhX9+/dny/bt28dcRaqQJqhFDoWrBw8ezMQgFb6QyNTi4uLCQtvU\nfqdy5coYNWoUHjx4wNZp0/MopG1cAFPqmnKTBUtvxrFjx9hFNwV1UqcLTG9K7969LXIWyULmE1w4\nJQFqn8N6R947kmfvSPqvTYUu1y+uRVTYHUiktqhSszOatH4DXr7V8/X6JaUNUUmc1mLKVTQlFgO8\ncpRgcgZgI5bDR+8tTZMDHs5a0acRd27Z/dzlCiVcsr87FQrNF5mjnQhqhcaBs7fV7HvGsSm4HH2J\n3f+x2VfoWqEDuy9KiYXUNnsHSdGQ2GZfl/gI9kPioJkVrYoOhdjJTXdMysjnEDnnhATlYU8hdtXk\neBGZwYGa53saujlpTx5B6pM7GpXy4BH7KfM33dg68c4D2JbNX1/WuEv3YV9ROM/41UOtCT2bcRSL\neoJL2P++hX0BhqHTs+QIeOdLi86H+iCS40eOYdmyZfG///2PVTHPmjWLrafKaKrPOH36NHs8ZcoU\npmMmTZrEhOKWLVuQmJiIS5cuscf6UBja3d2d9Vts2bIlioJi7ywaQ8UtZPeaCi+TMtdPPOVwSmvv\nSMqHqVGvN7u9zGbgnFfFVdRHBA9XW2j/zE7NArxdRbqItBIqeDhpDMUsCveKJDm9NMSAs722AEYJ\nRzvNijPP9mPHs+3sfjPvRugU0AoyiRiipGgWIZZpnURQ1XS2Z6FWQOJIn2cVVBGawgCxWnNUytAg\nkF8oUmrEqTz4McgbFytychZV6SmQ+JQFsnK+H1Lv32VfdNIM91xnLU5KgE25SlRBZvIaiuLjIXaz\nfo589KmbcKhWPddIPE7JpEmTJrhx4wbWrl3Lil3oZ8+ePXXrjZt0L1myBAMHDmQCkPIXSTxSP0Wh\niCnVdrz77rtFWrtR7MXiN998w2xd6m5O7uOXX37JkkYprs/hlFZIIL4sZ8+aZuAc0xTWWL/8tMox\ndBUNc/tIKOqTqcidoK91GMlV1AlFRY5AU2cmYcHVH3WPP28wzaCLhcwuewcJEZDYO2nux4Tmeh2x\ni6FIE7kaNvIWe+Q4iBlPNCE7IaT+uT+fSbfuIC/ir96CXSXzUzhMCUVO6aNq1aqs+EUImr5iDIlJ\nfUFpCnI1KXexVPdZpDxEUsvUNoegeD49pgaVRNeuXfH222+zaiGyYcnCpd6LRdXFnMMpbZw4SE2/\nXS1qBs4p+PBzQTbgFnYVAT93Q8FIrqI+5CpC6yqaQesq7nu2F7diNYKpa0AHtC/Xit1nrqLuYDQh\nZ300riJ0rqIWchX1hSK5ikIwV1EP5ioKCEUtzFU0IxRfBOYqcjglhCJ3FmksDsXxjaEGlUTr1q2Z\nTUs5AxR+Nq5C4nA4hecoHj8wH08fHodnn+msAluZkQJVagLEjm6Q2DlpmoHvW8TC4jyHseB5FV1F\neUYcFl77id0XQYTPGk41eL7OVSRxZ4GrSEJRCEtdRSHIVTQnFLVwV5HD0VDkysvSHoqUvMrhcPBS\nQ88qG40jJrZzQvS275H26DxArVFEYjhUbwXHOp0NmoFzSoerqC1qEXIVNz/ehKfJGoE3tFI/NPSt\n90KuInuukauoLxTz6yqag7uKHE4xC0NzOJziO4faZ+R3zB+K2bUQ8rhQePb+AP5vLGI/5bEhiNm9\nUCMcs5uBc4r3WD9rXUWtUDR2FQkhVzEtNRKLbmjSEmzEMnxc/91CcRX1EXIVSSiagruKHM4r6Cxy\nOEUJbwUjfE2oNQ8Vs0hdvCFx9oRIZge/13/SNQOnvEVqDh6+cjpsFQruKprgVXcVtZCrqB9+NuUq\nrrj/LxvtR4yvNgJVPCrpXEX9opbCdhVftKjlReC5ipySCBeLnFJJaWsFY40o1p9DTTmKypQ45iTq\nT40h6LFrq6GI4zmLJdpVFCpq0XcVtUIxPikYf91eolkvc8L7dSaZPJb8uIpCRS3kKgqFn83BcxU5\nHOvhYpFT6ihNrWDyI4r151DbSmxYjiJdIyFoigzPWSz+rqK+UMzLVcyrqMUUf97+H1Lkyez+27XG\nI8DVz2pX0ZpWOebgriKHU7DwnEVOqc3HK+mtYLSi+Hn0IyaKKdeQfgZHPWTLab25OdRsjKDMluUk\nknAUgsYN0hQZnrNYPF1FofAzuYr6QtHYVSSsdRXD4h9g9f2V7L63nScm1Xg9d1GLgKuoFYrGcFeR\nwylecLHIKZX5eNTyRSisylrB3D/CtivNopicR5o3Hb3pa9j4VUHShS0sJJ32+ALiDv2J2AN/IPnm\nQSSd38rGDfJK6JfnKpoa6yfkKhJCrqIx1rqK+kUtxG/Xf0GWSrN+et0p8HDKmZYi6CoahZ+tdRUL\nqwH3i8BzFTklGR6G5pQq9PPxSnJYVb9IxaQoNpNrSCFqCseToHx89zCbCxvy+xhAqYDMqzzUSgVS\nru+jmYKo3f2Tl3hmxZuX4Sq+yFi/gnIVCa2r+CjqKrYGbmH3KzqVw+iqQ/J2FfNowK2PNQ24iypX\nkQtFTkmHO4ucUoV+Pl5JDqtaI4rzmkM9ecYJuLgFQEb5ixBDHhMMZWIkKlRrD1//2ji8azYyM1IK\n8WxeLYrKVbS2qKWgXMWF1xZARb03AXxS/3046QnCV2msH4fDMQ13FjmlCm0+HhWzUOsXfddNlZXO\n8vRKQlhVXxRT+PlFRHFk6C0kJYTi9Xd2wNHZ26CqOj0tAct/7oL7N3ehQfORKM0UpqtorqjFUleR\nMHYVrRnrJ+QqXgk5jkPPD7L79dxroX+FHiZdRX24q8gpDGTODpDZ0B+1BYMiy3RBV2mDO4ucUoc2\nHy9y9Qyk3D6CrMhA9pMe03Ja/6qjX6RCIlgfa0Xxsydn4eNfB54+Vdn2Hl6VdM+zd3BDxWpt8ezJ\nGbP7UKtUSEoIYze6X1LJr6tYHFrlWDvWT52ZhAVXf9Q9/rzhNNjb2b+SriIf68fhmIc7i5xSh34+\n3pO9izQtZcQSJp5KUp9FOheqeiYRTDmKFHomR5FVOVshitVqFcRi06JELJZBqZQL9nW0d3DHwzv7\ncfXsCiTGP2fr3DzKo3Gr8ajXdBhEIuHQaGkZ62cJRTnWTwitq3g89BguRV1k99v6tkD3ip1eaKwf\n5SoaN+Au7FxFXtTC4VgGF4ucUok2Hy+/E1xehckvpkRxxWrt0bDnSNg5uFl0HmXKN8GNi+uRGB8K\nV/cyBuuyMlPx9NFJNO8wRbCvI40KpOKYGvX6oNsAGh0IPLi9F8f2fsfEY7vuH6M086q6isqMBCy4\nOt/AVXyRsX6mKGxXkeCuIoeTN1wscko1JJAsFXskrCJDb+PaxXV49ujUKzH5RV8UR4Texo2L6/D0\n4UkEPTjGKpmZmFOrzJ5HlZqdWYHL/i2foN+IRXBw8mT7S4wPwbljv7M+jHUaDsrV7JxGBMZs/wES\nJ088fXIGrTq+y/ZdtmJT+AbUweGdX6F2w4EsvF0aXcXiNNZPyFU0N9ZvR9B2PEi4z+73K98dLQKa\nFLiraMlYP3IVhYSiFu4qcjgFAxeLnGJJcXLuctyyIywkSwLLxr8qXFuPgCoj5ZWY/JKRloB9Wz/J\nNbUm6fwWKFPj4NJyKIJvHxM8D4nUBgNG/Q/b1ryFZb9QnqMb0lKomkPN1pep0AyZGUkGfR2pcCj+\n6HJI3fzgN/43RK35lK0n4UqQuLx48m/cvb79lXYXi1MD7oJ2FQkhVzEzPQa/Xv+Z3ZeIJKwC+kVc\nReNWOUIIuYrmws/kKvKxfhxOwcELXDjFChJmu/6bhr/mt8Oq3/uyn7s3Tjc5baSwISdx7dLhCI68\nB4/eH7ApKJ59pkEtz0Ls3t9gW6bWKzH5xVSDbr+xC5nzlxX+0Ox5kPs3YOQfEEukSM9Khcy3Epyb\nDoB7tymITo3GumUj8OTeYYNm54rkGMh8KkFi65ir2blILIaXbzUkJ+V2n141SpKraG6sn9ZVXPdg\nDUJTNeJvVJXBqO1d44VcRfbcfLiKhDlX0Rw8V5HDsQ4uFjmv/Hi6whSt65eOgDwjGfL4MKQ/vshC\nq0xkvf4TJI7uSDixstAnv9A+42KC8r3vvKbWuLQYjLRH51nfRXPnceHUXxC7+KLsuysRMH4RPLpM\ngkvjvhqRaevMXFf9vo4SJw/Io59plhv1daSK6Niox3By9sXL4kWvY0l0FbVCUQghVzE5JQz/u/UH\nu28nscOH9d4uUFdRqKiFXEVrilq4q8jhFDw8DM0pNhiHMVXyDKjSU+DafgwSjq80CGMWZsg6J/fO\nlbmIupDtha2IWP0xE4oy9wAmsmL3LWJj8Apj8os2/E1CD6BwoRhVa3e1Oj/SkgbdUCmhSk0weR55\nTYRxat4f8Qf/NOjr6FSvC5Iv70Dq3ROavEi9vo73b+1mBS6Us1jYGBfdFGSeqSlXMT0tkYXqHZy8\nYO/g+lJcRaGxfqZcRePws6Wu4rK7SxGXqRH8k2qMQXm3sjpXUXCsn5WuIiHkKgrBx/pxOC8PLhY5\nxQJ9MSKS2SLhzHomNCgnkCGW4HFcCOvTR8UWhSkCjEUrQQKImniTWCQ30XvgZwYiq6Anv9C5rVs6\nHHLKkdQUFLOfT56cQXDgOYya9J/F52hJg266vmJHN6Q/viB4HnkJTruAWuwAky9s1TU7p9dybtwX\nsXt/hdjGEWUqNGXnRdXQ1y+sQ8Pmo1koujAxLrrRCv8XzTM15SrGxTzFsT3z8OjOISa66VpWr9sd\nHXt/Cg+vioXqKuqTl6toaQNuchW1QjEmMRD/3F3G7rvbuOLd2m+afH19V1ErFF+Gq0jwXEUOp+Dh\nYWhOsUBfjMQfWYbEs/+xnLgyb/+LslPXwbXlUKaYdm+cxnr6FVbI2tKQLbmJWpFF4ragJ78c3fc9\nsuTpkDp7wVObK9n7A/aYltP6gmrQTY6pQ7WWTNiYOg9LxiRSdbUo1bDZucyvKiT2LlBlJiMk6AI2\nLBuJx/cOo32PGejQ6zMUVa5mQeSZGruKJBRXLh6EZxH34dEr+zPZayqeht9jy2l9QYz1K2hX0dKx\nfr/fXIw0RRq7/16difB29rLIVdTtL+JZsWjA/SLwGdCc0gp3FkspxanaWF+MpD+9juQru+DR8304\nN+iuWy9192ctWqLC7uLJ/aOs0bMp94/EiqmQdUGFbBUJEUg8twkyz3KI3vR1gU5+ofcm+MlZyDzK\nspB3Lndz1UdsPW1n6XtnqkG3thrasW5nsxNsLBmTWLWWJkQu1Oy8daf3IRJpBI2rRzmzTb4LirxC\n5yw/c98iq66jOVfx+N4fWeqCz5jcn8moNTPY+tb9/7LIVRRCyFUUKmohV9F4rJ8x1o71exZ7G+sf\nrmP3/R18Mb7aCJNj/cy5iloscRXZvriryOEUC7hYLGUUZv7Wi6AVI0EXtkLs4AKnup0FxYgiKx13\nr2/Ds8dnC1wEWByyFYkRs/MnKBLCaLwJqtbuZvb6WSvM42ODWY6fS8shuc6PQpuOdTuxUDht51+2\nXr4bdNN5ZO8UiSdX5TnBxpKJMC/a7LwgsUT45zfP1NhVpBzFh7cPMidROKdzEB7uW4wm3RLI8ysw\nV5EQchWNeVFX8ZdrC6FQa4TljHrvwk1PBAq6ikZFLdxV5HBebbhYLEUUVv5WQUFiI+jPQVBDjdR7\nJwTFyNXzqxAReqvQREBeDhq5iYQyLR7+5RpiwMjfTb5GfoW5KLt/of75UTV2wvEVLARO4o44c+QX\ndO072+L3TEjIEZaKOmvGJFrT7LywsET4W5tnaspVpGIW+syZ/0wq4OWSnYNrZVELuYqWtMoRchWt\nGesn5CreCT+HXU93svvVXatgaKX+ebuKeTTgftVcRR5+5pR2uFgsRZgr3HiR0G1BQWKjebtJOH/8\nf4jd8xurANYXI64e5REWfI31/IsOv1+gIkDYQfsYzi0G54RsL2yBMiUWUhcfSOQZ6DHgO7NCMb/C\nnC0XiXTnR0KRCmuoVQ/lLWr3FXVha75EvrGQs0bUFSfnMC8sCZ3nJ89UqAKaqp7pM2f+MymFU3ae\nnynMuYrWtsoxJr+u4oJrOWP9ZjaYCgd7B0FX0ZqxfkWRq5gfocjhcDRwsVhKKKz8rYKmYYsxuHx6\nOarX643GrcbD0clTdzx3r+9ATOQDdOk7mxW5FLQIEHbQftNNbWGIRKhYtX6e7uCLCHM67gpVWiP0\n3Ca2PYWcSSgK5S8WlcgvDs6hJVgSOi+IvorUHoeqnp9eNP2ZrNWwJ+wd3QrNVSQK2lU8F3wAp8JO\nsvtNvBqgR5lOJl1FfYqjq5gfuKvI4WjgYrGUUJj5WwWJrZ0zuvb/Bvu3foqEmKesD59UZofH94/g\n0Z0DaNL6DfiXa4C2DgUnAixx0CQSKZRKhUVOWkEI8069vsC6pSMQvmIaFAnhzFHMz75eBQewMLEm\ndP6i01qoPQ5VPVMxC+Uo6n8mJelJ6D5oVrEc60euolADbnVmEhZc/VH3eFbD6bCzsys1riIJRQ6H\no4GLxVJCYeRvFRY16vWGk4svrpz5B4d3zWFf8L5l6qHn4HmoUa9PvkVAfoRTfhy0ghDmdPwU5j66\n9zsoqADlzHrIo57CqXEfyNz88txXcS1kKgoKInROrmJeY/2oj+K497exqueH+xZl91mUonz17hg0\n+it4Cvy/K6qxfubQuor7g/fhRswNdr9rQHu0L9f6hcb6katoPNbPUlfR3Fg/c64ib5XD4RQMXCyW\nEgorf6uwXKwyFZqwG42FozAwzSTOrwh42cKpIIT5natbcXjXbLh7VUJqchSkHmWRev8Ukm/sh89r\ns2FXrq7JfVmSL2nn4Gb2mpVER/JlhM5JMA4e+6dugkuK0hu1qpuufi6urqIiIx4Lr/3E7osgwmcN\nP3ihsX6msNRVFIKP9eMYI3F0hMTWpsAujCTTuhzikgwXi6WIgszfelliTCQWQ5RH73hzIqAoKsDz\nEuZJ5zajbMXmUKmUgs+Pj33GHNUmbd5Emy7TsGfTh6zZuP/4RYjdvwjR239AmSn/sKpoIZFvdgLN\nimnYtPINpCXHCL5X3JHMn6solMOYmOUO2zy2K0pX0dxYv02PNyIoKZDdf61SPzT0rVfgrqLQWD9r\nXUVzcFeRwyk4+ASXUoQ2dFvepzri9i5C+IqpiNu3iD22VjSR8xQXE4TI0NuFMkmloCjMCR7mIPFF\nAlx/mkni+U0I+WMs5HHP8TzwHJb+1AE717/PrqM+ty5vhJOLD1p3ngqRSKQR8anxiFzzCWzL1oEq\nPRnxR/4WbKJtbgKNMjUeitR4ZEplgu9V8JNzxfq9LArMFbVYQmGM9bPWVdQKRWNXkRByFdPTorDo\nhub/hY1Yhhn1330hV9G4qEUIIVfRXFELdxU5nJcLdxZLGS+av2XsPLERbzYO8O33IWyzQ65FXalb\nHCrABZtg07Wxc0bLHp+gQpU2iI58wCq/Ny4fjWET1sLDS5N7FR1xj1VD05ST6IgHOH/8D8gzkqFO\nT0TCseVsm5QbB1C1dvdc7q25fMn4o8shcXCF7/BvIXXxzvVeHdgxq1i3VioqrHUVCUvH+r0MV1EL\nuYpCrXKMXcWV9/5FVHoUuz+u2nBU8ahk0Vg/U64ie24+XEWCj/XjcIoHXCyWUvKTv2UqpEsj46I2\nzGKtXWTuAYUixvIjbl9WBTh98d65ugW3r25BUkIoHBw9UatBP9RvNlInzPdu+gipydEYMWkDZNlC\njPpFVqnRGf8tG4WzR35D3+EaN0cqtUNKcjQe3jmAg9u/gIdXZXQfOJflGQY9OIFbVzbC1t4F3fp/\nw6rH88qXpD6N8UeXIf3xRfY4dMkEOFRvBbcO49j7pX2vYvf8CvfuU1iWWuq9U1BlJEPqHgC7CvWL\nTWull0lJdBX10XcVtUIxIfk5ltz+k913kjpiap1JJp+fH1dRqKiFXMXi1ICbw+HkhotFjsWYzYVb\n/THrB+g98LMCFWMvkkP3MirAFfJM7Fj3NsKeX0eNur1Rt8lriI8JwpWzK3Dv5m4MHb+COYTPgy6g\n+8DvdUJRCz2m3EQShSTEMtISkJISjejwu3j6SNPfztbBle3reeB5nUOZmZHCBGanPrPM5ktS6FnX\n0LvP9ByBf2ErW64V+GzmNdSQRz5ByPGVUMsz2Husykxlc7ldWw4vFq2VSrOrKDTWz5SraFzUkper\nqIWEYrI8md1/u9Z4BLj6W+0qWtMqxxzcVeRwig88Z5FjEeZy4eixS4vBbBSdMiOlwMSY1snMbw6d\nVjhREQgVluhTUBXg50/8DxEhNzFozF/oPvA7NGg2Ah17fYbX39kOpSITJ/bPy3Y4VfDyrSa4D3IY\nSQRq8z8TslIgtndh6+yrtmBCMzTuKRwb9YTI1hEyn8rs543LGwSvgX6+ZMyuBZA4ujFRqJ+zSY9J\nQJLA1828ZuHtg3Bu0hdl31uNctP+g/+bf0DmXgaxB/9gs6SLQ2ul0uYqWjrWzxhLGnDru4rh8Q+x\n6v4Kdt/LzgOTa47Ne6xfTKhOKBrDXUUOp+TAxSKnwEK6UCmhSk0oMDFWEMUpQoUm9FOoOMQaSKTt\n3PABLp9eBrk8HVtWTsDujdN14o36RLbo8DYe3T3IKrrFYimiI+4L7ouW0/rrl9az8/IbuxBunSaw\ndemPLwBqNVSpcUi5ugf2lRrDb/R8uHeewJaT62oqX7KMZyVkhT+CS4shZgW+IikaSee3QiQSQ2zn\nDNeWQ1luI2HjXQGefT9k82ucXXyZkxoT+RAZ6Uko6RSmq2hurJ+xq0gIuYrGmHIVLR3rR0UtmcpM\ndn963SnwcHLXrTPnKur2Z6WrWFgNuF8EPgOawxGGh6E5FmEqpKvKTEPqvZPZ+XAiZMU8R2b4A5Pt\neCzNPSyo4pSCnuCh73iqsvMFPbq/A5HMNlc7nvKVW0KlUiA9NZ693uUz/6BKza6wtctJJKNwMjUf\nr1S9AwIfHNedL4k0LQ612sGuTC3YVWoCmbvmy1aRGAmRjT0CHxwVvAb0+u26fYSgB8fyFPhR62cB\n6YnM/aRfCEKtlcQQIzkpAst+1ox7k0hkqFa7B9p2+4hVbpt6j4lXrV/jy3AVX2SsX0G5ioTWVXwc\ndQ2bn2xi9ys6lcPoKq9Z5SoWp7F++c1V5EKRwzENF4ucfPcOTLl9FHGH/gSUCqjZVmrEbJ/LKqRJ\nFLXrOl0nxqzNPSzI4pSCmOAh5Hj6jPwOob+PhUhqyxxP46phKlJhx2rriLZdp+O/5aPx37KRaNx6\nPLx8qzOHjnIbM9MTWTHMk/tHdOdr41uFFZco4sPg0nwQbH2r6l5fmZaIlOv74FCtFVLvHDV5DSzJ\n2SSBX9a3OqpU78iagA8b9y8unPrbQFgHlG+MsLjnzMnsMWgeK65JjAvG9QtrsfGf1zF84lo4OnkJ\nVsqzmdpq1Ss3Qcacq6htuO3g5MX6KRakq2htUUtBuYoLry+Ais1ABz6p/z6cHZzMu4rFdKwfh8Mp\nHLhY5OSrqbdt5cZIvrgNdhUbQpkUA3FGMvqP+J05WeSgla/UwkAoWtsYuzCKUwpigoe+4yl1cIN9\n1eZIvrYbjnU65nI8r19YwyqZPX2qsX6Jwyesxdmji3B09zfMcaTQc7Xa3dG6ywesqln/fGl7t45v\nIGbbXMTu/oWFnaVufsh8fgeJ5zcCEhls/Ksh7d6JXNdAqZQj6OFJJMY/h7d/TcSf22xias9WVKrR\nEQNG/o6khDAm7BLinxsIa3sHd2xdNRH29m7IkqezQhyt2K9YrR0iQ28xZ7R+0+EmK+WVqXFwaTkU\nwbePFVoj9JfhKsbFPMWxPfPw6M6h7FF+ElSv253NhKbJLXm5iuaKWix1FQljV9GasX5CruLV0OM4\nGHyA3a/rXgv9K/TI21XMowG3PtxV5HBefbhY5FiMfkj38cWtbFnGsxuoWqurzjEqU74RFIpMlstX\nr8lQNqbPXBW1qf59L2M8YX4wdjxdW49A5NpPEL1tLtzaj9U5niQIH97Zj77DfmXCj23rUQ69XluA\nzhmzkZEWDzsHd4OQtPH5OlZvheRydVneYdTGrzQbicSwq9gIru1fR/yeX3Ndg6ePT+PQ9llITYmB\nk7MP0tLioFLKEfbXZLh2HMd6YeZM7UlEh5Ez2PNc3AJQuXoHVmEdUK4RHJ292X7J/aS+j4TE0QMe\n3d7SCcHQC9ugzEplLYMSE8LMVspnhT9k616Ffo1CriIJxZWLB0Ht4AqPXjli+OnFbWx5n3E70LBB\nzZfaKseY/Iz1U2cmYcHVH3WPP284DfZ29oKuojVj/YrCVeStcjicwoOLRY5VkCDsPuA7PL57EO17\nzkTtBv1zCbY6jQYzV42Ehot7GZ0TRyJKHhsCsaMbJHZOeeYeFtZ4whfB2PG09asKn6FfI3b/YoT/\n8x4g1nzxhzy9hJ6Df0TV2t1y7YMEor5INHe+9lWaITPsPsQO7hCJRVCmxCEj6Aoygq5CLJWh2eD5\nuudTNfWu9e+xFIA2XafD1b0MK0S5cPwPXLuwBnF7f2OpAqZyNjv3nY3NK8Zh1R/9UbN+X7i6l8Wj\nu4fYOpHMHv4T/8feN30hGL7sHWQlR7P32LPPB8L5pU37I+7A71AkRUGRGsc+O9fOr2ZupERacHNc\nC9NVPL73RyYUfcbkFsNRa2bg8tF5aNhAU0n8shpwW+sq6qN1FY+HHsfFSE3/zba+LdC9QscCH+v3\nsnIV8wvPVeRw8oaLRY7VUAiV8PCsKOjsUY4eoVBm6Zy41NtHEUtihfKiqAVLdlNoc7mHhVGc8qII\nOZ525eshYNISpAddRdy+xfBxL4/Xxv1jtRDSnu+JgwsQtIeEnYqdr5dPNcToV1KLxGxZanIUDu+c\njaFvrGTX/NLppfDyq4meQ35kvR01x+uCDr0+Yzml5HQOfn0ZK0gRet9oOTUNp3GD92/tweO7h2Dv\npHGMnBr31glFLXTuMr8qULDcTJVgfqkqKwMp1/ayfEcJOakBNZF8ZRdOHfyJ5WgOHL0EUln+CkJe\nlqtIOYoPbx9kjqKQGHZqPgjB+xYjPTUB9o5uRdaA21pXUZWZiJ+uGbqKWhc8P2P9TMFdRU5pIjg4\nGCkpKahRowYkEtP/v2/cuAG5XJ5reZ06dWBvr/k9o1ar8eTJEzg4OCAgQDPwoqjgYpFjNbZ2LnD3\nrIgnD46xvDVjntw/CpnMHp7eVZEQ9wwQSaBMiYdn7w9yNYWmti7mcg8LujilIDDneEpVSvQYODdf\njpm2QOTpQ2rGTUUhYlSo2hZRobdRu+FAtOs+A+lp8bprkBj3HGuWDMatK5vQqOXrrJq6c9+vdEJR\nH3LxyO3NykyBnb1wv0eC9tus3SR2I2hu9arf+yLz2U2olQqIJDm/MhTJsSyHkqBjFcovTTi9BvK4\nUCZwqQUPtQKi93vIuH+wc/17OHf8D1a1XRxcRVNFLVTMQn/QmC+2UiAlOUZQLL6ssX5CrqK5sX47\ng3bgfrzmj5C+5bqhRUCTInMVhcLPlriKvFUOp7iQnJyMIUOG4Pz583B11fwf2bJlC5o3by64/aef\nfoqYmJxwBt1//vw5u5FYXLx4MebNm8eEYlxcHCpWrIj169ejevXqKAq4WORYDbkPDVuMxon9P6JS\ntXaoXEPTToWICruLiyeXoHajQSzUeun0Msg8AljvQKFctsRzGy3KPSyI4pT8QmP6khLD4eDgzvIO\nC7Mdj3GBSMiptVCkxiKgXGMmWty9KunEIB1Lzfr9cPf6djRoNpI5vnb2ws4WjQokKJ/UGjQiXoys\n6KeIWPsJXJoO0BTahN5H0qVtAIlHkRgVq3dgOYz6+aUqeSZSbh6ESGYH+8pN2DXS5pqWqdAEjVuN\nZeHoVp3eh7QIw9F5tcqhqmc6dvPFVlI4OXsVO1eREHIVM9Nj8Mv1hey+RCTBJw3eN3i+ta6icVGL\npbmK5sLPlKvIx/pxXhW++uorREZGIjQ0FM7Ozvjkk08wfPhwPH78WNBh3L9/v8HjsWPHMlGodRAj\nIiJw7do1+Pj4IDMzE0OHDsXkyZNx/PhxFAVcLHLyRf2mIxAZdpe5Q1QQ4VumHuJjn+Lpo1MoV6k5\n2nb9MM9eidQUmuYRN2ujaUBd3EiIC8bJ/T8i8OEJlutH0LlSb8GA8o0KpR2PfoGIzLM862FJuX6H\nd2kKXFzcyqBpmwmo13QYE+1ePlXx6M5+SGW2cPeqjKePT6FqrS659k/vC1Vfe3pb14OOzqlq7a54\nGnYLYntnxOz6SZP3KLODQ812yAq9j8oVmgm6relBV6DOTANs1LDxr56rEXrFqu1w7tjvSEmKYK9T\nlM6xuVY51B6Hqp6pmEWo2Crl4jbUatiz2LiK5sb6aV3F9Q/XISQlhN0fVWUw6njXfCFXkT3XyFUU\nGutn7CoS5lxFc3BXkVOcWLduHb777jsmFAkSiwsXLsS5c+fQtm1bs88lkbhp0yZ20zJ37lzdfVtb\nW/Tq1ctg2cuGi0VOvqCpJN0GfIsa9Xqzatiw59fYF33voQtRtWYXVgWdHBNhslcijQUU29C3mhqy\n7BzH4gS1ktm4fAwcHD3R+7WfmBhOiH3K2gJtWfkmBo9dxtyxvBxPS8SkkKimXBUa1Zfx7Gb2ViIM\nHruUhfiP7vmW5Su26vw+m/7i5OLHtmjYfCROHpjP2vFUqNJat//E+FCcO7qIFdtQlbO1kLh7Tk3I\nk2Lh3n0KpM4+UKbGIuXybtYySeumGrutrMcinUtWOhJPrsrlvKalxbOfx/b+gOAnZ6ye/f0yG3BT\nexyqeqZiFspR1KYekFAUpyWh+yDDGd0v01XUCkUhhFzF5JQw/HFzMbtvJ7Fj01oK0lUUCj+Tq2hN\nUQt3FTnFifR0w76kUqkUMlnO/+v4+HhERUWhVq1aumVeXl7s9uDBgzzF4ooVK+Dt7c0EoRAqlQr/\n/fcfunbtiqKCi0VOviFni0SJvjDJq1eiPD4MCcdXsDFzrNgFwKlDC9Gh+4xi1XvvwoklkNk4YOib\nq3WVy1RdXK5yS2xfM4UVaIyYtN7k861pQi7UgDzj6XWkPTgD76FfI27vr1CmxsPR2Qeden/B8kVp\n5nSZis1w/9ZetMl26uo1HY6w59exbfVklkvqX7YBc0cf3TkAN8/y6NTbtKAxBQlZatY8eMzfLKXg\nyaG/TYbdhfJLSVhTr8Zer/0E++xQuFYMXz37L9tPeEKwxf03i2qsH/VRHDFxFU7sX4CnutQDKXMU\nSSh6CoSn8+MqCo31y8tV1GKpq7j87lLEZcax+xNrjEYF93I6V9HcWD9LXUVCyFUUgo/14xQkYicn\niG0LLqVFLNP8P/L09DRYPnv2bMyZM0f3mMLEhKOj4e8SepyRkZHn6/z999+YNGmSyYKY999/H+Hh\n4SwHsqjgYpHz0iqHSfBQnqLE0d2g2IVy3YpTs2Zqav3g1h7Wfsa4xQ3lCzZrOwFbVk1gxR8eXrld\nU0ubkCfGhyAtJZY5q1pRTb0ME89vQvLVPWxfsbsWQOLqy67d4R1foQmb/lITYokNdqx9Gz4BtVGv\nyWu6Y+s5aB6q1erGil7u3djBejm26/4RK5Ah8WspWrFLjicV25BLSDmSPQZ9D5+AOmadUn23tXXn\nqdix7l3mbDZvP4VVXKckReL8iT/xPOgCpC6+VvXfLApX0bgZN+VoBlRqj/4jZ6FMhYZmn2utq6iP\nNa6iuQbc5CpqhWJMYiCW313G7rvZuODd2m+afH3jsX7xScmIikuElyIVngHlCs1VJHiuIqc4ERsb\nq6tQ1jqL+ri5uUEsFhsUrGifZyw0jTl69CireJ4wYYKgo/jOO+/g5MmTLFcxr30VJlwsFgOKU6Vv\nQaOfywaZDBJHN/i9/lORiANLkWelQaHIEBSCBOUGEiT0tNvov4d5NSE/vGsOK0YJC76avUcRHJw8\nkXhqPRJOrwOUckhdvCB184dtQA1WBESEh1zH7o05vSWpAtndswJSkqPg5lFes0wsZuFmof6O1gjF\ndctGQjPEUQWJkyfrjZkY8wz7t36KGvX6MFFqCTTzuufgeTi+7wfcurKZuYtU0U0V9UyAthv1QrO/\nC9tVNNWMO+bCNqz8bQTemrm3SFzF/I71++PWH0hTpLH779eZBJ/stARzruKTkAjMWr4Yu06cY19e\n9KXYv21zzH1rFCqJXr2xfryvIsda7O3tDcSiMXZ2dmjYsCETft26aX73XrlyBUlJSWjRooWupQ6F\ns6mljj5LlixBv379crXGUSqVGDduHO7cuYMTJ06wMHVRwsViEWLtvORXEYPegQ+OwbPP9EIRB0KC\nWyHPQGzUYyaqPH2qWtzOxsaWmma7IDLsDipUbZNrfVT4Hd3Uk7joQJw5usjAgWPn3XG84Hna1WiF\nkDPr2bzlgWP+YuMAI8Nu49zRxUiLCWRNvd07T2RhaMqJU1DBgdQWIqkMUClZwQiFP0VQw8bWGQ/v\nHMCD2/sxYNT/UL5ySxQEJHaVEglUqfHw6DkVTvW7smuozExD+PJ38ODWXvj412YupyVQg++qtboh\n6OFxJmydXHzh5lEBa5cM1oXeWcP26GdQK7Ig8ypn1ezvwnQV82rGfXDbdxj51j8v5CoKFbWQq2jc\ngNsYa8f6BcfewfqHa9l9fwdfjK82Is+xfk+uX0G7d79Cpq073HvlRAMOXNqK4299hlPfvIOq2WLx\nVRjrx+EUFp999hmraKYWN2XLlmWPR44ciUqVNJ/n+fPn4/r16zh9+rTuOVQ9vX37duzevTvX/oYN\nG8ba8KxcuRLPnj1jN6Jp06ZF8iZysVhE5Gde8qsKnQf10iOxaL5XnfXiQEhwV67ZCU5O3nhwey8T\nkQQVqjRqNRZNW7/J3DdzUDi3dsMBuH5xLftJ4kaLPCudVfC6uJXFhqUjkJYaq/dECRN0bMbyqTWw\nr9YCNh6GX5QZjy/qpqVQJbNWdAaUa4ilCzvB1sYRCUeWZReIgFURB7z2FRJOrGQ5jG7dpiDh0F9Q\nQ40y5RtDamPHmm1vWz0Rg8YsRfkqrfAi0PWiZtzkJDrV7wHnBt116yS2DnBr/zqrYL96dgUatRjD\nCpksgaq1q9XpYfA62tB7ZvgjJJ79D8qkKLZOJLOFjX8NTfN2K2Z/F7SraEkz7nsCzbjJVdQXimmp\n8UhJjIGTK7XW8crlKhJCrqIxL+oqUqscuUrTBPjjeu/CLTsHkRB0FWNCMevv9Uwoeo3OHQ2IWfMR\nZm05hg2f5yT1c1eRU1p57bXXWB7/smXLWFPuwYMHY+bMmbr1FSpUyJW/eOzYMXTu3FnnRuq7iiQO\n/f39DfZBXL58GUUBF4tFRH7mJb/KCBW75O5VZ7o5t6WCOzMyEEFHlkKVmYqGLcagfrMRTITeu7mL\nuXeUL0dFInlB+XVPH5/B+r+Ho2HLMfArU59VQ185txKJccGQ2TjC1lbTIkGHSgnbCg0h8y6PlMs7\nEb3lO5SZtES3WpEYiazIJ0wEORlVJWdmpOhC4GPe2YrVfwyETZmabC40TTzJDNXMZ044ujy7jY8I\n3QZ+y4R17QYDsG3NZNbG6M1pB1lIO7+QWKf9k6voWKu9oKin9akp0azhuoeVrXiM81mDjq2AMi0e\nTo16w7lBT4hsHZD24CwSTqyAnZ0La+5e2K4iiULqYUn9FKlNzos049YPP8dEPMHuDXNw58oeth/6\nfDdo0R+Dxn0HH/8qVrmK1oz1E3IV70acZ024iWoulTG0Ur88XcX45BTsOn2JOYpCYtmh+RDs3r8I\n8cmpcIoPL/auIg8/cwqbIUOGsJsQM2bMyLVsxIgR7GYMFboUlSg0BReLRUBe/QdfVr5WUY/J0+9V\np23WbM35CgluGi9HQlFKhRTJUbqcwrZdp7OJMge2zUSDZiPyFDmUWzfszdW4cOJPXDq1lE0+kUhk\ncHEvx0LU3QZ8h10b3qfEQbh3fQs2XuURvXMBssIfQh4VCPuqzZH++CKy4sJg46HJRZEnRrKfVD1u\nfJ7ax5TLmJGWxASZR7e32ISU5Ms72UxohlIOl5bDkHR+o86FLVdJkxNDx3Ln2lbd9JX8IMnDKSRR\nX1CQy0tzoiUObiw3k8gMuYO020dZ0U9mRhJzTWs16I/CcBWNC1dIzFE/RWqTQ9XP+W3GTa4iCcXf\nZneFyt7FINfx3sVteDijPT5dcFInGM21yjEmv67igqs5M8RnNpgKR3tHQVdRv6glOj6J5SiaE8vk\ngEQnJsGpGI/143A4L07esQ9OgSPUKsVUSLYkQbmY1JSZnNOU20eQFRnIfho3a7ZGcJOw1heeNIPa\nxrcKXNqOYrOHtWFooma9Pqyp9d0bOy16DRKMHXt9hrdmnMKkj09g8oxTzG1q3Gocblxaz6aXONXv\nDpfGfWFXvj7cO74BtSITYnsXqDI1X9bkkGnPM/7A/9iySlXbseOiampdmNzJk7XEodxANZufLWI5\nfDQxxX/inyzELbKxh01ATcg8y+hcWHp+cNB5tg+/MvVYv0vj66T/OsaPjVEqs50qiZQdsz4k6hPP\naZrG2jt6sLzDFyEq4h6kUltUKNcYcXsXIXzFVMTtW4TyPtUxetJ/qFKzM+5Z+F5Z6ypqC1eeRdxn\nYs7/jUXs59Pwe2w5rdc246ZeinTu+gg149Z3Ffds+JoJRcp1dKrbhYlN+kmPlXbO2LZylkUNuAvC\nVTwXfAAnw6ixPNDEsz56lu1s0lU0OI4yZVkxC4lcIUgskwPilhzz0lzF/MBdRQ7nxeHOYgkJyb4K\nFOSYPFOCW5mWAKlHGdj6VM6VA0m5ivQaVMVsDVQY4+jkxcb+kdvl5Vsd544tZhNNyMHUYlu2NgtF\nO9Rqh6Sz/7Fl6Q/PIf3hWd15pth74OyxxTi+/8fs+c+aoqbGLcciIyOZhZe3rHqTzdOO3f8H4o+v\nYEUfrCelSglVVhpzYamY5dDO2bpcTSIuJhBePtUEcznp70JHF2+kJUczMWqqmEo73o9uqSQWRSI4\nN+qLjOAbSKBzytJU0qanxmPvlhkvVIyVnhrLGor3H7lYsEDJ3bMSgtj0nILtMECu4tZVH5stXKHC\nlsFj/9Q14zaeA26qGTe5ipSjePvKbrO5jjf3L0b/lHhUqehZIGP9yFUUasCtzkzCgqv0WdMwq9GH\nrHIzL1eRcHdxRv+OrXHg4lbBaEDaxa3o27IR3B3ti62ryItaOJyCgYvFEhKSfVUQatyc13kKbWtK\ncEtdvJEeeAWZUYG5BLdSkYWYiAdsZF9+sMnuhxgT9YgJLhvPckh/dgOurYez9Yrs4gBb36q6huN9\nhv0MT59qGhcwLQFrlw5neYliR1dWZQyVGkG3juDxvUNwdvGHT5m6iAy9SV2r2fNVqVms4IMeq5UK\nKGKCIZbaIiw5Bmp7F5bXSKFbx7qdmasalpWK4CfnsGfLx7pcTrGdE2J2LUSmVAYPvf6WQsVUOeP9\nbrPC7tRbh9mNIdb8uqAxf3aVmyD44vYXKsYilzcpMQyhwdfg6V05V6siqhJ3cS9j1T4jQ2/j9JHf\n8DyQ3FZDUZyqrsCEoiWFKw+pcCUtkYWjx72/Dfu3z0fwvkXZ4erczbj1XUUqZskr11GlVCCFFfR4\n5nusnzm0ruKB4P24EXOD3e8a0B7ty7W2aqzfd8O74/il+YhZ+zEcmg3WiWUSirYZcZjTvZfFrqK5\nsX7mXEXeKofDKXq4WCwihGbp0i9hEorWhmRfRfIak2dJayEhwU1hYSoISTy5OpfgvnZhDevxRw2q\n8wM1taa5y9Swm5w3G7+qSL60Hal3T2jcxEvbWBUvuZvsWFx8UbVmV131NfVXFDl5wn/kD0i6tBVJ\nF7ezHEQKL4ttneDuVQnBT86yNjmefT6EWp7B9p3xTPNlrxWgKkUmuyEzhV0XarVDM6Qlzp4Q2Tji\nwI5ZBrmc0dt/YCLa0v6W2vF+tA+XNiOQcuMQG9lHgtS5YU/YeFdk2znWaJPvYix6bx/ePQSVUo5N\n/4xh15NEqva9JcEbHHgO/UYstnh/R/fOZdePFQCJxLCr0BB2FRsh+PYx9n+t8+B1AGpbXLhC21Eo\nOktaGROnr2BVz1TMQjmKQnOgtRXQVPVsSa5j1UqaMY2F5SoqMuKx8NoCdl8EEctVtHasX5UAH5xZ\n8j2++Gsddu77jeUwUuiZHMW546egvCLZYldRCEtcRYK7ihxO0cLFYgkIyZZEtJXOKjtnuLYfA9sy\ntVg1sb4bZkpwU86gMiUWapUKQY9OsS/++zf34OGdfWjb9UPWqia/tOjwDjYuHw07B1ek3T8LxwY9\nELPrJ4ipAjs9EQ612iPu4P/Ye9l3+G86oahf1GTjUxFefT6EZ4/3WDEOOX8k9oL3/saEjmPdLnCs\nqZkl6lSvK5ujrUpNQNLFbUi5eUB3LDTZRWzriPijyyB1D4Dv8LlID76B+IN/wqPXB0i9dwrJV3ez\nght6jcQz6+HcdACkzp5mi6n0P5uPz1BDcBXrj0k5dwVRjKVfxU5V0CnX90HmWRZBz6/h2d9DUaVG\nZzaisHrdXqhcvaPF+1PZO8OzzzSdc5p0YSuSLmyB16DPEb93MR5d/RkNGy6zuHCFtotIyHEMSSAK\niUTjBtwOju6o26QvHl4UjhxQCLt20/5wdHZ/YVfR3Fi/zY83ITApkN0fUrEvGvnVt8pV1I71q1rW\nD/99+yFiHtxBjNoG3q4ucHd2ZH0Vhcb6cVeRwyl5cLH4ioVkSwtH932PLKUc6vhQ1mOQ9dyr3goe\n/T5E3K6fdW6WkOCuXKMz/ALq4P7N3dixdgrbn49/HfR+bSGq1+1p1XEYvzc0rq7bwLk4f+x3xEY/\nRuoNjXgj0UfuWNq9k6xIpd+wRazgxFyOpUhqo2sUzlrSZDuHNOVGH4mdk+bmklN169HjPSjiw1g4\n3K3tKNhXacbOXR77nK1PvXMMmSF3YV+5CROLDjXaIPXucbbcd9Q8yDzKmOxvqZ0H3bXfHDRt/QY2\nLBtZoP0xjavY6diSzm2EPCYYlF35+N5htOnyARq2fD3Pnpg5+3PN5ZzKfCohct1niFr/GQvjP04I\nw6Z/JqJL/1mscOWpCTFHRTyOzl7MhYbUHZXL5eT4mcK4AXefEbPxaHZXlv9IYW2DXMf0ZIx79/t8\njfUzdhUJIVcxPS0Ki278qrkWYhlm1H/XaleRELt46Mb6uTs5wMNoWos+Qq6iuaIWchV5A24O59WA\ni8VXJCRbmqDJKRSGJEHj0nKIgVMUtWEWXFoMwZOTq5ioMSe4m7admN38WWT19bWkQMSvXCMoFRmI\nDr/PwsmEVGbP2t/s2zoD7bp9jPrNhltc1ESCmARj6q0jcGk+OJeISb2ZnTsIMQtVu3fKPddXkV1B\nT3mMviPmQuZdESGLRrHiG9o+cv3niN23CH6jf8xVTCUU9q9YvT0TvwVVjCXUNsq+QgN2Y64bVY0f\n/hu1Gw1izdHzsz9CHh/GPitSJ0+4tJysl6e5lRWsDByzGM/WvI/I1R/DuUVOLh45kdSmKMvJHf8u\nGoR+43cA5WqafH1TY/28/Kpg/MxjOL9nDm5k5zpSA/NaTfqj56jv4FtG05DdUldRC7mKQq1yjF3F\nVfdXIjJd06ppbLXhqOpZOc+xfkKuoj76Y/0sdRUJPtaPw3n14WKxmMDdxRzOHPkNUnd/+I1dmCvH\nLmL1x8gIupbLzRIS3CQSqf2NtRg3+zZVIBJ3YRtUyRTSU7NegNTIm2Y103t55cy/OLrnG9jau6BG\n3V4WFTVVrdWVvXZczBNErPoYLi1zRAytV6XGsV6Rbl6V8NzEflKv7oOYClFoCopvFY1zV70VE9q0\nvVuH8Yja+CWyop9B6uqjK6ai4huhiUKhlEMrliI5+/mWFmOZ+jybaxvFxiGWqc0Es6VOpan9kRst\ncXQXzNMkt+/aubWscGXtnyPYRBqW50iit1pLeA+exZ5L6Q33zs9HwwbC4/zyGuvn4VMFb81cj9SU\neCQnRMPZzRtyiafZvoqWuIr66LuKWqGYmByCJbc1bZocpQ74oI7pvpuWuor6CI31I1exODXg5nA4\nBQsXi0VMaZgPbQ0kMp4HnmOiTKhS1aXFYMRSbp+Fo+DyI8KNw6TmCkRCFo+Go5M3ug/8nolTgl6n\nTddpSE4Mx8UTS1C9Tk+2zpKipvjYZ9ix7h04q1SI3UM5jNRzUQxX97JIVMrRussH8PSuYnY/hEil\nRPjK6XBq2BO2ZesiLfAqe0xOLZF8fS+ygu/oXtfcRKGIFdNYpbclxVh5fZ6taRtlyXsntD/K8Ux7\neA6eJj5D2mrnTn0+Z+2Q3LtPgX35BmzEIYX7tdC5Co3zy8tV1KId6+fo5M5u1FdRaKyfKVfRuKgl\nL1dRCwnFpCxq7A68XWs8Alz9rXYVtUJRyFUkhFxFIbiryOGUDLhYLEJKw3xoa8WaxikyPzWCnKfy\nVdqY3V9+RbhxWFNIeLCm2RCxamXqgZiaGsv6LxofT90mQ7F5xTgkxj9n6ygPcPCYv3Hp9DKTRU10\n6zl4Ho7tnQuxWAQ7By/m+tGt+8C5rFE1Ya446r/lmpnNqfFhSDi6THc8yuRoxLEiGiDl6l5Urd2N\nbW/n4IbHdw/DrcPrzLHNJdBbD2MCvYxnJTw1U4xl6ec5L4fVuIekufdOyLGlYiD6jORV7RwRcpOd\nr12ZWqzAxpJxfpa6ipYgNNbPGEsacOu7iuHxD7Hy/gp238vOA2/VHJfnWD9yFbVC0RjuKnI4HIKL\nxSKkJM+HtlasKZVyPLxzAHeubmGP44/+A6/+MyDRm9WbM25OhDadpxaKCDcOa2qFh8yrApKv7UXy\n1T2Qxzxj7W7sKjbWPMlE2FT7+PCubxD69KLBdRgxcR0baSckomvW78tC0k/uH2WzrB2dvZkwk+kJ\nK22uJglRmjZC/QBd3cuxddSCJyz4isE+6fiVlL8pkUGlkAOKLFbAQiJ07+aPmYNJoduEk6tZ2Nqt\nwzjI3AMMBHqLdpPRvN1bJJPZ6xsft6WfZ3MOK1LiEE6V7A5uJqvgjd874/1JXXyZG2s2PxQibF9N\n4xrFSA+6ZtU4P62rKCQUjV1FLaZcRWNMuYqWjvWjopZMZSa7P63OW/Bwyqm4Nucq6vZnpatYWA24\nXwQ+A7oUQ38A2dkW3P7Emv9LHC4Wi4ySPB/aWrEWFx2IzSvGIy1VO1lFhIxn1xGyeAxreO3Wbkx2\n0UI4Es9sQPkqreBbpm6hiHDjsCaFJul44g7+wZY51ekM11bDoExNQPL1fQbPM+bu9W3sZ2RSqNF1\n2Irg1ZPQb7imWpUwfo+lMjvUqNc7TzFOnyEWqs7uU1iv8WsIC77KtpG4+cGt1XCoRSIkndsEVUYq\nK8SxLVcPmc9vISL0NvZt/YRVElNrHP1CIsoNpbA7CUZt8c2GZaNzNbrWvo/WfJ7NtY1KdYhFROT9\nPKvg9RHaHz0v6fxmQfcy6fwW2FVsAMc6ndg2CadWw65SIzb1x9w4P0sgV1FIKBaWq0hoXcXHUdew\n+YlmHGMFp7IYU3WoVa6icVGLJa4i2xfPVeRwSjzcWXwF5kO/amLRGrEmz0rHphXjkJ4ah2q1e6BD\nz5lQyNOx5u9hUGSlIfHsBmTFhiAr4hGUiZrqzhh5Fi6e/BtN27zJwq367uTNSxvw+O5B5vyxnD1q\nJN2oNytS0eSrDcTjfYtwfN/3rBCEprlUrtFJtx/jsCblsFHz7azwR/B+bQ4cqjTVvR6JjZA/xpK9\ng9joJyhTvnGO8xR+D9cvrGU9H40LdVhLl7UzsWWltppZpAsJW5J2QEJxHU2CYTOkNbUZ9PPxo5Ps\n3BlSW6jTkxG7T5PfydryiMQQO7hCHhvMxBnNtzaZp7j6YybWPHtPY61k6Hp6dJ1sUvhb+3kWqmJP\njA/B+qUjLaqCN/4/Yby/0Mg0nNn7Vq7WNbQvapruPWQWE8J0rvQ5iVr3Gdzp/PIY52eJqyiEuaKW\ngnIVF15fwFIdiBn134Ozg5N5V9FMUYsW7ipyOByCi8UioqTOh7bWMX14ex+bM+xfriF6D12oKxIZ\n/sYqHNn9DSJCriP9wWm2zL9cIzRsPgpREfdw8eRfiI64x3onUi8+GuW3a8NUNvWDcG7Uh+UTUisU\nasfiN3Iem3NME1dIOFGzbltbJ1w9t4oVj/Qf+Ts8farmhDWXjdS1VVHJM1ilLDW/psbb+mFTcgAV\nmSnY9M9YVKrWHt7+NREb9RiBD44z8eTRYVyuli6R6z7XqDudiBPhyZMz7NhHTfrPQDDSdYoncacX\n+mU9KOXpkLmXYQU/JKqSru5G6o2DOeKi/Vik3z+FzLD7cKrfjVX5KlLiEHfgdyYuK9XoiKcPT5p8\nn7SFRFlRT6FIioTf2J91zpuQ8M/v51m/in3v5hlWV8EbQ8tjU13h4QtW7Uwznh/quY3kUnoP/kIX\nYqfXcW01lJ0rK5yitkgC4/wsKWqx1FUkjF1Fa8b6CbmK10NP4mCwpudnHfeaGFihV96uoplWOa+i\nq8jDzxxO4cHFYhFRUudDW+swBT06yayxBs1HMaGokGew1jmUu5iVRY2uNTRp/Saatp2Ae9e3Mxey\nQtU2eHT3IAIfnkCVmp1w9fwqhDy7jAGjl2D7mrcg8yrHJo6QGxW57lPEHl4CZVIM66FHomHkpA3s\n9RPignFg22fYunoSxr67C+mpsSy8m5meDKQnIXaPNuQpgq1CwQpEWJ9FbYHHyP9h7ZLXUKN+H1b9\nTEKZcgzbdJ2O04d+gq1/NYPzjzu0BGpFhoHQ07pnWfGhTAgOHvNXzvg6Er/ZbhGJyrIVWyAk6AJk\nnuV01dlZMcGsN6NTg55Ie3IZKhpTV6E+XJr2Z+4gjSF0bTMSEidPzcxpkQgNm41E0INjeRYSUeNv\nt47jDUK0poS/JZ9ndg1ignLlahZEFbzWVczK8EDtmiQGHTF47J8IC76OlYsGwnfk97ArV9fkufZ9\nYwcqV/Q2Oc4vv0UtlriKWvLjKqozkzD/6jzd488bfAB7O3tBV9GSVjlF6SryVjkcTvGEi8UipCTO\nh7bWYaIG1gSrFlYqsGPdu4gKv4vmHaYw4Xj++B9s/ZWz/+Da+VWQSm3hV64Bm9tLHN71FcpW3Ieb\nl/5D3cZDUKFKq2zRoukLSKPtXNuO1og+tQoSFx+IszJYYQcLh3qUR/8Rv2P5L11x9dwKXM8OzXr2\n0fRTzAi9h/jDSyEWiTF03D+wsXNmE0ZiIu6z6Sthz69DochAhSqtUa12dwPhcubwL7laumQ8vQaZ\nR47QM3DPVn3EZhtTU/ItqyZo3EOPsgYh2fAz/zFxTcuUqfHsvKham5al3DgAmV8VJhbjT66Cz+BZ\ncGs7Gik3DyLl5iE2MYZo0HQky/m05H0iYW9fqZHu+KngR9tixlj453yeDRtdawtXslxT8df8doIF\nTy9SBS9UTHW/Xnd07P0pK/yhgh86FyqUgYBY1BayuHhUgrdfzrxmQn8edLLSvMtvzlVMTY5HUkIU\nxPa+qFzOo0BdxRNhx3Eh8gK739qnGTr6t8nXWD99V9G4AffLchXzC3cVOZzChYvFIqQkzofO22Ha\nauCYklNGIVsSYFkZKQh5ehEjJm2Ab0AdHN/3A9tGI1pUTEyMfnsbXN01o+r2bvoYj+4dZMIqOTGM\nVQ/Hxz5Fxapt8eTBcZaLRiFGjaOmYqFkancjcfE2yJu0d3RHpeodcOvKplw5fCQu5VFPmRA7vOtr\npKfFITbqEbz9arLJJtfOr2aOqLtHhVxtgoyvgyIulDl7JPQE3bOWQ1iD6FMHF7J8RHIfc42w86qA\niJXTWA4mhWapebRNQA2IJBI41e/Owu6sQCjoKiI3fAHnJv0g8yqP1PunoIgNga2dM+sBaWPryKaz\nhJzZCLvy9VkfScP3aRsqVmvPQtVULUyFRWmPzutyHymca+Nf3aAnIuUcevlUR+izyzmOrEjM8kJj\nUmIRkWhc6JOT92jRhBuBKnhTxVQ0yo8mtVAomgSjufF+lJ9Yvnp31KqeIxRjowJxYOu3uH9jPxPE\nbIxknd4YOv5rAFUsdhUlmYFYNOczXD27U7ef5u0HYszbP8AlO+3BUldRaKyfKjMRP12dr3v8ecNp\nsLOzy/dYP1NwV5HDKd1wsVjElMT50KYcUyqUUMSHI8utHPuSp3Ov3XAAzh75FbevbkZU2F1UrNqO\nCcX0tAQm/ghnlwBIpTIkJ0Xg6aOTaNB8JFtO10wqtUNU2G0mJCjnkITbif00yk4NkY2dLg+NIGeN\nxFdm6L1cleaU90hupWeH15mYoNzChOMrcgQSgJCnF+Dg6IkRk/6Dnb0Lblxcx1xQe0dPbFg+Ggp5\npkG1cP0mw/B8y8c6p40qlgmz7hnU7HXofFy6Go78I6RufkyAxR9bDrVSDmV6EtRJ0Wz8H4VYtQUb\niqRoqNKTELNdI7gJckKHjP2HneeB7V/g6cMTTICH/vkmbPyrwrXVCKgyU3TOdoeRM1jRUPCp1Uy4\nUq9J/bB52uML8C/bMLsn4hFd/0nal3PTAVAmRSP11lFEhN2GxNkLfnkUPJn7I4OqlitUbZ2rCt5c\nMRUVt1DOIoWiyWUk8Sg0q1mdmoimQ2caCMW/5vWGysEFHr1yBOjzi9vw2+yu+ODrw2ycX16uYkzE\nYyz5qh0Uts4G+7l+aRtuT2qF2f87h7q1q+XpKpob67czaAfuxd9j93uX64pWZZoVmasoFH62xFXk\nrXI4nOJP3o2/OC8FEi0eXpVeeaGo75j6u5VhTln4iqlMtEldvODWYSwiEkKYmCTBSKJr4Ot/QyyS\nICr8Dp4HXcDKxX3x94J2zC0kyM2rWb8fnF39deHn8JCbCA48y8LYYomMCUxa13f4b+j12gK2ja1f\nVZSduk4jPhxcoc5KZ0JLP3xKkMh79vgMu09f6CQUybWTx4UygeT/xiI41NXk21F7nw1Lh2PFol64\neXkj6jUZyr7MqYLbqUE3ti05XMFRD7Fny8foM+QnlPepgdi9vyJ2z0K2DxIMQmjcM0JT4iwkKin8\nS8JLERfGfro2HwSHas2hSktE2PJ3IY8JZm4qtciRx4TonudfvhFef3s7cxTXLRuB4PC7cOv2Fjte\nzz7ToMpMR/S2uex9Ku9TXVflTIU1Ulc/JrIpB5SEGP2kx7Q8IvQmnkc/YrmG2n2p5VlsvrNDjTbw\nG/czxC7eENk5mC54un+ECXf6I4NEKglIKkrKigxkP0lsi9OT0anXF4LFVLQPk5Nabh9CeloicxfJ\nZazoXwtx+xaxz2TcvsXsMc1/btggZ/7zwW3fMaHoM2aBwTn7jlkAlb0L9mwgdzFvV/H4lllMKBrv\nx2f0AijsnPHf359Z5CoSQq5iZnoMfrmu+UxJRBLMbGDoulrrKhoXtViaq2gu/Ey5inysH4fz6sOd\nRU6Bou+QymwcWc6dZ7+PmCOmHaVGrWy0jhIJBArlqrInh1D+X0J8MJxcfFlRC4mw04d/Zg27E+M0\nLV+oEvrymX9Y65umrd/ElbP/spDplTP/YPd/H6BZ24lMcKXcOc5y0dIenmV9BBNOrUXsnp/hUKuD\nLnxKQvHwrtlQKsm90TRyTn98MddcYVVydg9IatLs5MVC3ZFht1noWuLkBdtydVnxDIWtnfRcs5tX\nNjLXLDL0NjavngiFUsEcViH3jLWosXOG2M4ZysQIwZBsRsgdKJOi2H3v/jPYerVaDUVKIjKf30TU\n5q/hPehLTRPtDm+z9j3efjUwZNy/7PptWvkGsrKLd+IP/aVrwO0/7hcmysp4VtaF5+m9DH5y3mTF\ntKaK+Fd4D52tC2Mbt97xHviZZrt9i1jOo/44Pba9nnCnP5asScuwrJhKgaiwO0iIfQ6VWol23aej\n12vz2B8WDk5eSMzKaVqtzVG8d30fcwJNCdDb+xYjLTUeDo7uJl3F9JR4XD2zw/R+mg3Ctf2LkZwU\nD2cX91yuormxflpXcf3DdQhJ0fxBMKLyQNTxrvlCriJ7rpGrKDTWz9hVJMy5iubgriKH82rAxSKn\nQDAuMmCmtUjN+vSRw2eqkjY46Dzg6JHtbqUh/vBfTHxRcUfFqm2YQHh87wgiw26xMCcVvNjauaBa\nnR6sYpoKTkhg1qrfF+UqtcDhnV9i4z+vs3xCyk9MvXMcnr2mapwd3yqI3DAL8YeWMDF68sB8BD08\nAbk8A32G/Yo717bi2bnNkMdrHEXtl7wyPRkZwTchcfKAa/uxiN+/GK06T2Vicee6d6BMoSprjeMZ\nsmiUToDpVwtT+HT0pP9YtXPwk3O6fEpdiP78ZlawQu6nW5eJTLBSqNdYVCZf3glIZIBSwcSkxNkb\nmSF3WXsckUSMjMAriFw3g21LvShr1uuDzn2/ZEKR2gEp7Z3ZtRZqwE2h8qfZx6t1b/MSY5SDqWbh\nd4Hq5WyByLZTKVlxjLFYNC54siYtI688x8yIh+yPhvV/jWEheLFYgqzMVFSs3g79R/4CewdXJGYB\nlcvl5PhRMQuJ17wEaEpiDDKQe7KL7tgkee+HCroS46Jg4+CqE4pCCLmKKanh+OPW7+y+ncQWH9Z7\nu0BdRaHwM7mK1hS1cFeRwyk5cLHIeWGEigzSA68wZymvFjpqW2ddLhuJQconpOpelcwOB3d+hSat\nxkEskbB1AeWboH3PT+HlXQWpKTFMLF4+vRSVa3TWzVUe994e1kLn3vUduHtjO0Q2jlAp5SykScJE\nYucMUVY6E4vJiRGo32wk6jV5jT129yiPZ0uH55ornHr7KCuOUaYmsmIZOu41/xuA9LR4g3NyatyX\ntcrRCjDPXh/kakRNbXGo2pnaAz3PbsOjLRhx6jIJURu/Yq9NY+5oH3RjLXayRSXlCYrUIgRUbIbw\nI8sQt/93lrvIEEsoMREQSeDjUx39RyyCk4tPTm6foxv8haqws11AV5r2olJiz6aPWXsejeiH+aIT\nsSR7yk0OJBDFNg46gaiZACOCSGY4hstciyj9/ov5LaZKOPoPa7bed/hPqFm/F3OiAx+exMFtX2HD\n32PQc9wuSKSGx0RVzyRezVeJS+Hk6oUMM2P9UpN98twPHZurh4/hcgtdxeV3liIuQ+N2T6gxGhXd\ny+tcRXNj/Sx1FQkhV1EIPtaPwyn5cLHIeWGEigwoHEtzhvOqbnVq3l/3HHIDvfp+hKRLO5B0YTPC\nnl1mt4DyjdGo1TjcuLAWO9e+jTIVmyE1WRNqoxBs41av48C2z1lPQhI73v61mCAjlMmRiD/4Z3Ye\noKZXIYnBiJBb8CtblzljNG2FBABNv+g58Hvs2vC+wXFnRT+FbdlaLB8wdrcmR4yEgDFUgezecbxO\ngCWe2yDYiJryKwe//jfCQ27hv2UjdP3/SGRpZxpr8wJJxOmKdLKbeNPAFpo1za4zOW9Vm7NCHHVa\nQvYrKJCRFs96SJJYzKtRutYFtK1Qn12niITnOtEfu3+x2bC5jW9lnVsoVBQUd3QZlPFhEItliN70\nde4WUanxqNv4tXyPtazWeBqCN4/KPanlzAaostLQe9h81Gk8QLd9lZodMXzSKvw9vwue3t+Hbr1G\nGOyP+ivWatgLT0xUTief34xqtdsjPlUCe0fTx+Xo7I7GbQbgton9pF7ahpYdBxi4iuZa5ZCrqBWK\nMYlBWH53GbvvKnPGu7W1k4Bg0Vi/l+EqEjxXkcMpOXCxyHkhTAkREhDkltEcXlMtdAi7MrUM9kfi\nyrXFYNhVqM9axAyfuAH+ZeuxdY1bvo7bV7ciJvIha58TUK4hLp9Zjs0r3oTMxgHyrDRWGPLssWbi\nC837de/4BhNfrBI7MQJu7V5n4emki1sREXKTiUbNvDwt9IUsYi1otMcttrGDKi0Jnj2nInrLN2wr\nTeUznaiMjfuD1IY1sCZX0a3tqOwm0r+iUvWOJkWQu2d5FkbV9v/TXbPs8DNNGaGcPxKRioQIRO+Y\nDyizWJUzTachl5MKW1Jv7NdePd252Du4Y9uayRj25mp2bfTDyUL9EskFTL64DSJbB01RSvb75dH9\nXUT9NytX2JyEnjIxis2Vzgh7ALGdIyLXfMJyPfWrpjXXPRLd+32DwEcnDHIRKWcwNT0Z29dMFpw3\nbQlObhXwxrTtmkkt+xZlt6eRsmurcAtA/Waa+cj6ULFLmcod8PTeXsBILBI0uYWqoSPXzIBztgBN\nf3oNSec2slSJh7HP8eijimjQoj8GjfsOPv5VDFxFLcMnfo9777VB1NoZLEdRe+1IKEozkzHmne9z\nvbY5V1ELhZ9TFZqG9e/VmQhfZx+LXEUt5CoWhwbcLwLvq8jhvFy4WOS8EOaKDChvL2LVh4JCQ5RK\nLpjIpPMoj3nGBAV96WuhauhWnd41eO0r51YwgSDPSmUVzyTqSDDZVmiAjGe32GxmculYS5lVH7Ic\nRnl0EGvt4ty4D6I2fwNFSixsvCqw+dPOTfsz0aRIiskJAftURvKVXYjZ+6vutT29KyM85Aar+E27\nexxevachdv/vSL66m4lFbT4fTUqxJozKrplA+JlElzozBT7DvkHk+s8BiRruPd5DzLbvYe/oxULp\n1Li8TqPBiI64Dzd3EqIiXDixBN0HfsfEmLl+ieS4KhKi4NZRM57Q2CVUZaYa9E50cfUHBamVydGI\nXP0RE80SmoMt2Gz8Qzy4sxeDxvzN/rigYh+qFJfb2OuanwvNm86L0Jgc8UftcajqWVu4curgL4h4\nflM3PtIYumaqLM2scWNoxN9bM/di18a5CMwWoBRuJ/HO5kdnH++9i9vwcEZ7fLrgJGzcDFvgEA6e\n1fDjsnNY8+dnuJi9Hwo9k6P45vvz4BlQ2WpX8XnsXax/uJbd97f3wZvVR+U91k/AVXyVx/pxOJyX\nD2+dw3kh9IsMjKEvV5eWQ5njRmPyNO1KFmlas0xcj6q1uzLhSE6jPpaOO7x7fTtEEEHqXhbu3d6G\nU4MebLlHj3fh+9psiG0d2OSSnHDrECYU7So3hUeXSez4WJsZRRa8X/uK5QnKo4NhX60lE5k0p5jN\nDN73G9uHmsLEFEYu2wDdB5ErJEJG4GXY+NdgoohCyeT6kfukLdww7gtoDJvSkxqPsKVvI3rXAqQ9\nOAu7yk0gT4hg4oy1HdrzK8S29kyIUbGQXaXGrGdkzJavAZUc6akxzGGt33Q4Ovb8DC6uAcjMTGEj\nFIMeHme5euWqtELCqdUG7YDopzw2hC23tae8QxWb1iLUOogKlSRuAZDKHFjVMk3Xad9jBoaMXc5y\nSalVjzIlFql3jgk0G38Nzx6fxaM7B3H+2B/Ys/kjVlRkV7kx7Mo3yGlN8/oCls5AaQ2WUrViTiyY\nClY8faqwnz7+NRERelvXHkmfsDg1woJOw69sbZP7VdpVxbj3F+P92YdQpXZ72NJ4xbE/G7bAGbMA\nSjtnbFs5iz1H31XU4l+2KmbM3YR/90Rh3sp7WH8kCrMWbGZC0dqxfsSvN36GXKXJUf2w3jtw0xOB\ngq6iUVELdxU5HM4r6SxGRUXh6tWrusfNmzeHh0fuaQKPHj1CSEgIatWqBT+jkVycoiOvIoO028dQ\ntVZXdO03J1d164uOO6SejNRn0cazDKRO7kysUajQliaaSG3YY3n0U932Yll2G5x0ch81aEOw6rQk\nODfshZhdC+D3xiJErp3JhJR7t7cgdfSAPDGS5Q9CqUJkyA2sXNyHPV+tVMBr4KeacXLZLW3Sn91A\n0nnDSTWmCHx4HCpFFmuunXb3BNJwQreOXDH/co0QFnwVnj3fZ+KWsPWvisyn15izGHdAUxH72vgV\nLCxPfSCfP72I6nV6sKIdKqCRy9MN+iUaO3/k/Hq7lkXo00smWwdptw37+y3ExwSxOdruXhU111Ol\nZCFvx7pdEH98BRzrdDL4HGibje/Z9CFzh2lSj13FBki5cxTJ1/fDZ+hs2JWtIzhvOi9X0RS1G/bD\nsd3f49D2Oeg34mfm6LH3S63G9ZO/Ii05As3ajRN87sPApziz9xsE3dmncRXJbewz3WQrnRv7FqN/\nSjzg5WkwA9rPPcfVFNm5o349jxca63cv4gJ2BG5n96u6VMLwygMEXUU6x4dhMUhJfYYqThL4BJQ1\n2YD7VXMVefiZwymlYvHJkyf49ddfoVKpcOjQIRw7dgwdO3bUraflb7zxBnbs2IEaNWrg9u3b+Pbb\nb/Hhhx8W6XFzcrBE9AlVt+Z33CGJlR3r30NCrEYIZjy+wG5itv+c0Db1PZR65nzRZcVots8Kf6Tr\n+adf0aut6iVxSIU20Vu/Q8Khv5jgouOiQpuwp5cMcgPVCjki133OHisp95DMnG1zWbFOxdamCw+I\nK2dX4NTBBWjS5k0mpB/e3oua9fsjJTECIc8usT6JVNRDZEY81oXrydVKOLUm280VsX8SiQy7/puG\nJ/cOs2O5fmE9nj05x645ic68+iWG7lukGf8n0DpIf1uqaCYxQiMStdA8bc3klmpIJcH76Dyc6nTS\nrU8P1oYO1eg55Cds+mcU3Du9yXpwRu+Yh+ht36PMlH8gltnmmjdtqatoDDUfHzDmd2z5dxL+ft4V\ndRoNYO1zbl/fj9jw2+g/egE8fXO7ezS9ZePvvYHs6S3kTkdvnZtnKx1qlQN46oSiOfIa62fKVVxw\nbT7U2Z+7zxp8AEe9Chutq7hz2xZ8u2Q17gdqhKFMKsHQbh2w4MPJIKlaHHIV8yMUORxOKReLrVq1\nwv79+5GRkQF7e8MvJ2Lt2rXYvXs3bt26hXLlyuH48ePo0qULevbsidq1TYeROK/GjGtrxx1Sm541\nf70GJYUxKzRExrPrcGk1HGn3T2sKRURgeXnkomWG3Ydr6xE5Lue909nV0GpW4EHHyApwqrVkwpF6\nFFIvRbG9Mxt7RyMAx7+/B0qlgh3X3i2fZB+FWtN8u15nZEYHI+PhWYNjLFuxOSQSKY7s/hqOzt5s\n7rTxORzfP4+NLiSunFnBQsDtun2MJm3eYP33NiwbicjQW+g64BvsWPsOEk+tg2PNdkywsSKSHu+z\nAhrWkkYkxsZ/xkLFNIoaLs0HQZmegvhbmhD86v8NZO8JjQCkNjsiKsrRQyvQKL8yZNP0XK2D9FGz\n5uVqnZij943mR9OIv5Rr+yCha8fyUfWqps/+x5qZUyGQREzHm9NShs4j5M83kHb/FJzqdc3VdzE/\nrqKWyjXa480P9+Ly6RW4fWUrc0C9yjTDkLE/olzlpoLPoTxFtYMLm9ZC11q/Qt1cKx0XN8MWOPqu\nYmoW4O0qeiFX8ULwIZwIPc7uN/Gsj55lO+dyFTfu3IcJn3yHYb274s9vZsJPIseJO4H4ftk6dJvw\nIY4tmAE3l6J3FfMDdxU5lqC0d4LSzrAd1ougFBn+rizNFLlYzItNmzZh8ODBTCgS5DrWq1cPW7Zs\n4WKxBM24tqSvHnHy0E9QKjKZCHRtO5pV6qbc2M+qnhPOb4EqOZqJxsj1M1neIX3Z08g4qjBWpSfC\nxrcqK2RJuX8S6fdOQZ4QDs/+HyMz/CGSr++DS/PBrNJYmzPp6l5Ob5rJWUjdAqBMT2Sh7MSzG7ML\nRTQClBg+cS2bl0zu297NH7PG3zRdRltoQQ25t69/FyJ7zbe29+Av2KSZ9IfncOH0UlSpqREBKrWa\njcGjG0H5gOH/vg/XNiM1YV1yE128oUqJZc6WkoSYizccGvRARvBtdo6gHoJKymnU5O0lnlqD5Evb\n4dbxTTg36K67plqBdu3iOsgz08z2VhRR/0TE6sRcfGwwE6JUMBR3cAkrwqGQvbavJVWVqzOSIXUv\nA0VCOHMk9dMWJE7usPWvzo5XVaONRbmqebmK+lAOY4/B37L7EQligwbcxtD0lsA7ew2mrhhXqBun\nWdBs6cZt+rNWOUKuIglFa1xFoQbc6swkzL86T/f484bTYGdnZ+AqZmXJMXPufEwcNgCLvvpYl6v4\nRtVq6NqiMRoPn4xlRy/j41FlXjlXkRe1cDhFT7EvcHn8+DGqVTOsNKTHtFwIuVyO9PR0gxunZMy4\nJsEWeP84E2bOTfoxAeY96AvYla/PClGUCWGsLQ4TcOQepichdvdPrFBE6uoDnxHfQZmhaTmSdHod\nbLIy2UzdqLUzWUGHjXdFSJw9WTjdOGeSRBHt17XNcATQrOiabTV9DwmRBLblqUchoem/SMdGYwfj\nY58yh1DrKG5f9w6blezR7S22zLZsHchcfSHzrgA4uuHYvrmaudmpGvuMiiqoshtSGXMG9WdtU4Wy\nlOVhimBfvRUTfMnX9jHhZVuxEZuZTWMW6TjLV23HxKNapULc/kW6wh9tGyNy+8LinrLpLnYVGzLH\nVajwSJ2puX4knPf8NxWblmuqcWN3/QSxzIY5iClX92iOcd8i3TVSxIey67diUW9WuY6UWN0MaGVq\nHOTxEYLXXchVtFQoWktwOAnv3JX9VKFO03UiVn9kMLOaejvSzGpqkWPKVSSscRX10bqKB58fwPWY\n6+x+Z/+26Fi+bS5X8ciBvYiOS8CMSa/rlmkroMsgDaM6t8SaAyd0rqLxWD9LXUVzY/3MuYq8VQ6H\n82pT7MViVlaWwV/RBD2m5ULMnTsXDg4OupunZ07SOefVRlPZqnFmxLYawUA5Zd4DPkXAW0tZ30Et\nIrEMEhc/ONbvzpZTY+3YnQshzUxF3xGL0abrdDg6ecPWzhk2EhsmLml6TPyBPzTV2kbtW6hAhCAh\nIXX1Za1yyn1AuXqAV5/p8Og80WA7ws1D0/ZHO+nlxMEFbJoMayPkV40JKZp0I/UoC3nsczg26oVn\nj88gS57BCl5IeKXeOwVlcgwLQVOOn33V5giYuARlp65D2XdWAEyUq+HWZiTKvLUsuxVONcjcfCF2\ncIZXnw+ZSKMelTKpDdRZaZD5VEb8iRVIvnmQCTTq4UiuJFUjU0U4nYU8LoQVvuiLo4hVH0GZlsiE\nJbmmsU+PYUZrCX7saotaXmJNjqhUAr9xv7Bj9BkxlxUJiSm/USSGz9Cv4dH7A4TFB7Or5OdWFrF7\nfmOvn/H0muB1LyjychUJeydv3dQVfaiwiIp9KF9TW6FOIx+rVmqMr/84A98yVQvNVVRkxGPhtQXs\nPlX+f9bQUEhrcxWj4hLgYG+Hcv6+gmP9alatjKh4zRhHISx1FYWwxFUkuKvI4by6FPswtI+PD6uY\n1oce16xZU3D7L774Ap9++qnuMTmLXDCWDDShT/r7RoX0J5eYMNJCDaKV2dXIPv610fu1nzQ5lLeO\n6MbWeZetj56j/swWI51Ru+FAhD+/wVxAT59qrLLaVPicPUdk2BeS5Q+6eCMr8gkLBZMg0hc61PSb\ncHUvy1zRoAfk7Kg1gtPZkx0/Far4DJ0DkdQWyZd3se1FNvas2Ta5lSnX9zG31LFOZ9aonNw6qszV\nTk2hCTg0oUZ7XPKoILZf6vfo0moYK1bR9qvs89pCNp1GHhXInkujAimfMigmGO6th2W7Zx+znEiZ\nVznWa1I3PYbyCKu1ZCH7qLWfwkuaARuJGj+e0bRx6V5Fgp972GP6QTmCj/8L+7qdEXtwCXM2fUfP\nQ+TaTxF/bDkbgUhuadiKachIi4ODkwerkB44egnsHQzHBhL6aQ2xqa75chVJKOZFVJIYdg5uqNuk\nLx4KTF2hayJSyFG3WR8MGf8D1La+sHdyh69Ru5z8uIrmxvptfbIFTxKfsPuDKvZGY7/6uSugEyJQ\nwd8HaekZuPckCLVcbXKN9bty/wkq+HkLuopCY/24q8jhcF4psdi2bVscPHgQ3333HXucmpqKs2fP\nYsKECYLby2QyduOUPEjEUW/GJ49OIf7oMtj4VYXURfPFl3r/FAsHQ61k1cXGOZRHds2Bk7MPW06T\nXo7t/R73b+5iApGgGcF1Gw9Bm84fIC4mCE8fncKT+0eRkZ4AN48KqNvkNZSv3Aph2aPvRDI7ZIbc\ngdQ9AEmXtzOhKJPZ48S+eajXbDh8/Gri3PHf4V+uITy8q7B9MldUr1jCo9vbiNzwOSJWTmdV2/II\nTThQlRrPciMzQ+6yiS1E4qnVkHmV181b1opFuwCNE0ihZHZcNrZQpCWwXo+Us8mWO3lhxaI+OtHM\njif6CXoM+h6+AXUR9OAYE7DUGohEEYnX0CUTWEW0fdUWBtNeKAeUxOtPvW0xpr4MsWlq2ElFcLbV\niKKoVDXGb7+BtGfZQrnVUEhpFOTwbxG97QcWypU4e0OVlYqo+FCUq9wKfYb+DLvsHE4tFLI/dfgX\nBN4/qimYEkkQULkLPIZ+zppwW0teriJRIUCGPiNm4/HsrrnGB1JuoiQjGUMnzGcTW4yntVjiKmqF\norGrSAi5ihlp0fjthqYRukwsxSf13zN4vq6vIuVyt22NimX98fVPi7F2zvTsZAgNtyKTsPHoWcwf\n0zfPayDkKporaiFXkTfg5nBKPkUuFsn5O3HiBMs1JC5evMgqoxs2bMj6KU6dOhXLly9n4rBbt25Y\nunQpqlatikGDBhX1oXPyIL/FLuaeS/lswUHnkZUSh9C/JrEm0uT4pT+5zBywWg0GoHqdnrkKZ0gw\nUSNoytnbuf59NuWkS785rB8hVcneubYNpw//jFuXN+oEJD2vXOWWSEuJw461U9h+RamJrNCE+itS\neDinjY4KEhtHhD6/ins3d7Jxe7Rf6n/IhM/BnzQHpFbrZi1LHN3gN+YnpNw6hITT63JOXiSGIiGM\nCTTXluNZv0gKfVKOorYFkCy7JZBmxjaQlR02tvGpiLS7J9lzSVCTsFO7+rK2OVT4k3hmPRLTNdXK\nDg4eOrc29cFZpD08xwSimkYZZldEk0DUClOChCMV7zTwlUBMOaOOhiKpvq+EXY1uA77BoR1f6vL/\npC4+zFHMDL2LzOd3WDg7+fIOtOk8VVAoUt4mNejWzqgmgR1zcRtWLh6Ece9vy1Mwaqe5pCi9sxuO\nm3cVtXj5VcEHXx/Gng1f47be1JX6zfvpRvuRUBQiL1dRC7mK5sb6aV3FVfdXIiJN02B7bNXhqOZZ\nxeRYP4lEgv99/SkGTZmBbtO+xVuv9WXV0Eeu38Nfe0+iVd0aGNuhab5cRYKP9eNwSjdFLhaTkpJY\nn0WiR48eOHr0KLt99tlnTCyWLVsW58+fZ9usX78eLVu2xMcff8zdw2Ii6oTQukI0M1qTYyhmjqAl\nc3+FHCX9mcF0GzVxA6uKDrx/jIWjCRtb5+ypIp/kGvFGc5yfB55Hwxaj8SzwLJ4HncfwievhX7a+\nbj31J6RJJwp5OsRiCevvSdfl0Z0DrDF25z5fMjeyWbuJrD8iVWRrUKN85dZQqZUICbrAnkOtbChP\nsfuAuZDJ7HTChzV2tnNCzK6FBiMQaRkTaCIxK2bJfH4L9lVawHvg57pzocIblYJC3SL2fHImyQWk\n6mFHF19kSSTMnUy7f4Ydk1qucahEDu7wGTMf6Q/Ps6IVx7pdNZXHmam4cn4Vc0Np+6SzGzTX0aeS\npt9ktgMq8yyPtAdnkHL7KFRpCbq80OsRCjTw0/evNNyMVEIiFsPJRSNC9MP2dC7UfJtulAOpyfDM\nLagofYCuF+VQGjcFJ8eP5kDTeD8h4mKe4tieeXh055BmTrRIglqNesF10Cw2xs+cq6gvGMdNW4XQ\nqCSkJUejWhV/ODrl9JVMT4lnfRVTk31YFXR+XMW8xvolJofgz9t/sPuOUgd8UHeSyedrx/p1rOKH\nQ4vn4Me1O/HmnJ+YqPfzcMMHw/rgw44NYSuTmi1qIVexODXg5nA4xYciF4u+vr6sz6I5qPr5jz80\nvzg5BUdewiy/+1y3dDjkrKVMtukmoubrZxAceA6jJv1nct+mHCXjmcF06z9isYHIpWNf/ktXHNv7\nHXoM+oE1qSbISTx5cD4LPddt/BrOHPkVvmXqscIW7ZSQO9e3ITzkJlp1eg9njvwClVgGz15vswpl\nagcTHnoTsTGBqFy9A+5c3QqJxAZ9hi7EzvXvod/I31Glxv/Zuwrwtgouepqk7u5dV5u7u7u7OzB8\nGzAYMGRs2AbMgDHmG1OYu/s6d+1WWd29TRpp/+/e9KVJm9oc/pyPfG3TNnl5CevJufec04GPfe8/\n05EUd4dDvAlnjy2Ak2tQCeLjPn4B0o6vZGcznyCO3gHM/BvDun53JEVcgzz+EXLuHGMymRf/kM0j\ntNdI1XmZwX8jaddcGBF5zElFriybjSMU1k1jYnlsCFKPLYeSYm1y0xDz61j1rqRrANcT0v1ZNeyF\nyEs7YOLgxQ5oMu1Q5zSdbysmZi2Qcf4fZN84iLyY+zD3bwIzIrKx6jHl+wfk6F/dGLaF5IaQLS/A\nj+dUHP/DaqGRkUZFLR45Q8SVvq/d/U2g54TeZJQWIE6j4ZD9i1k5pFq/4kSRlMcCC1uOvxFeP6EX\nt2PpDz2577k4YdRWFYuDYn6C/IqUuMS4UGxZORN3L+9SE1GRGA1b9UPvMd+jTq1AvapicVNLeaqi\ngKW3lyBTrm4aerPGeHjaepSqKmqjWaOG2NaoIbIiQiAzsYSDtRXEYlGJXUU+n3pURX0wqIoGGGDA\nSyeLBrwcVJSYVRbH9n8HuUIKY3tP2DQbqLldyqmTp8Xw9weOXqr3d8tSlMi1S9+nPcTSshl7Df0F\nuze+h9WLeiCodg+IjMR4ePcQMtNj0H3QXFYNH4ee4/Hk2l97a8gxRdsYm5gzUWSo5LwvaBHQjJtc\nYv98HfnGpsjJSUZOdhJqNRyEnOxkGJtYwC+oveZcqkws2cFsHtCEyV/Oo4vIyTrHZEyb+JC71mXg\nTGRe28vmFDPfhtxDnXPrCPdS8yFQTI5gLinMcXQZOgsFeVJk4m/eb/Sq2hwqc3vERV3TjHtpZGzu\n1xDONp8ibsVb3CNNTuv83EyoctJhWbsjZyKm7PkFEjt3uGpV+mnnCVJcTOyKd6BMjYFt65Gw8G/K\nI29Z2FWO68nMk6Lar7mY28WER8+kKH5/Wo6wDBHat+iAbX+9wQSUSC7tKVIvt7D/R9mLivRY+Pi3\nLKFkE/mnNy7lNabQc1icLJLiSESROpv1KZKHts/BiMkry1QVBaTm6KqmRBR/nN6Wu6C1iejti9tx\n78OW+HF5MPdAF1cVKxrAra0qxqc/xOr7q/hzR1MHTK4+FukZGUiOeAhnB3s4a+0qCqoiOaAFUwvB\n0swU1jY2FQ7gNqiKBhhgQFkwkMX/U1SWmFUEQnA1Rbzo6xWm6BX6vr7e3/IUpYp0Blfxb4nRb2/H\njYsbuFWEFD7aOazfdCQrjUToSPEUmVnCZdhsKJIjEX5yHVTZyUyM82RqJYdyG3MfXkBe9D04D/uG\ng6hNfOog/vYx/v69G7t5PE1j79ioa7h8ZgXkSjkKpBlM6ihgG2IJ91PTOLg04qM2p4B3H2Xh1I9e\nwJEsAshoQqQ148JWWNfrxuNb6l4m4wplSCbE3QHIQaynYYTCrul6y5rtWHHUBqmPssibJSr9iCCS\nG5qeJ6tGvTXj74zT6znQW9PKM+J3nDo4D2EhxzFuh0z9HImMYOLqjwJrKY7s/QZiaydWUMlhTcYZ\nHeIrEsPE2Bwde1BNoi4Elbi8xhTaQdUGKY0htw/pBGoXVyTv7V+M1KTHUKkUsLJ2QpbKQS9RFODt\nWvTP4/Y1M5ko6iWi66fjryWfYvq3f5epKla01m/RjYXIU6nXHMZ4DMG0D7/E/kNHeQeWViR6d+mA\nbyaPgL+3Wm0sDnJAvwq1fk8DQwe0AQa8WjCQxf9DPAtipg9CcLVN80F6b5eup9Er/Zy7V50nUJTK\n7wymbMN23WeUuH7PlmlMjl36fID4VVMgC78GmyYDkHZsBZOqPJm6uYSgSI/n6Bra0Yv9fbz6uuQo\nJnMikTHv3snzsvn6v1eqQ5CJUFo3HYisC1t5NzH1yJ8oKAy1Lov40Iw+X6lQq49mVkg7uoxzBwmJ\nW74i5wKsG/TiLmV5ciS3zJj51IH00QUmim7jfuHav+INI6wwBjTVOwbm29dT6SfkCaYe/B1ph37n\n61SZZOIpQNf+38KvWgfNuZfK1Jl97hMWc32g4JamETPtYxqZmvN90sW5/6dMUMkcI428gbTDSzFo\nzHK9yjXdvnbDi77GlKDaXUqoiqQ06gvULq5Izv+iGT92Ir5+tXpiyPhZvKNYlqqYk52GGxd2lU5E\nmwzApQOLkZiSpmlyedJav7Ck6/jn0Rb+3MPUFSunbYJcYg97LTXz8KVtODVhGk5vXAp/HysdVVGI\nyhHwMmv9DLuKBhjw38ErH8ptwLNHZYhZZaAdXC2A1D0KniZSRgSNzReFbuPSFCV9qEhncHnkmEiw\nqYsf7Du9hvRTaxG3dhordBInH0hzCnPrjMRQZcTDokYbmAU05YgcDqmODyn8tpjNLRY12qpbXITH\nKc9lokhIO76KI25s24zmr9PPbNTbhpJ5/h8YmVrAY8JCVv9o7E3B2o59P1YrcChgokh1eORspnEu\nqbZEGumYLOt2ZrJS1DDykU6ItjI5kiv2Eopdn7L7Z/59feeaCKNl7Q6FLm/Aoft7/NHNq56GKNL5\njItUN4pQjiI5swXHNB0PGXfk8aGQxYWou5ULySv9HKupBfkwLgxV1wfamaUmF1K4aVRPLm36SKNk\no9wMtO9ZlKMqgJTG4oHaRPppNzRuzVQkbldHb9m0HgH3CYuY+EXH38LCrzojOV6dY1iaqpiVnlQu\nEaU+78y0xKdWFX++9hNUQi7obWcmis6j5vHrg95w0EenUT8hz9QeM+cvZaKYlpWNBxHRSMvMUj8H\nBlXRAAMMeMYwKIv/h6jYqK/yxExQijKv7gEUcuTLZZAnPOIxq7GzL2f/EQ7u+IxDmO21lKXyFKWK\ndgZXhBzbNO7HLl9S8QiqtFjNzxqZWcIisAVybh9hwqcNGn+KbFxhVbMt5x4SydT9AfVuYb4si9s+\nKMQ689xmqDITmLBZ0w5n4d4e5R8qUmNh125sCbXKqkZbzlqk48u6shtZBfk81iWDiTwxgp3MYhsX\nbj2xbTZIowgSIdeYZgoJXsve3+DmlS0I3bdIbWIqHCUrHHwQV8q5JpWS6gPJNZ17/1SJ10JOdgq7\n3E3cg0ocuyItFjk0ri/IR8LaD1i1pV1IIrR0nBV5bdHrqFmXn3Dx6Oe801l4cmFl64reoxfrjc0h\npTGodldEFAZq0/g+aft3rNaSwso5nGJjZJ3/B2bu1dTkvHCXkWJyyP0sqIraRJFAAdwCEdX3/4ss\n5h5/39fH5alUxRuxp3Egcj9/Xs0mADc33oVDD91VAQJ9bdFkIHYfWISBWZk4dPE6u/dFIhH6NK+P\n794ZjwAvt3+lqmgYPxtgwKsJg7L4fwiBmBEB06d4PSkxo1EghVvn3DgEZXYqZI+vM1EUmVtzADXt\n8Hn4NISZmTW2r3udd/5KU5S0lbCKdAaXBX2qJeUz2neYwJ/bth6lUdJodJxz86AuUaT9Q1NLVkTz\nFVJ2LLuOmouCQvLLP2LvAesmA+A8cCa83lsPibUzq5c8lrfzgo9LNaTuW8R5ian7F8HN1osDxDkn\nUg/MvNVjempSIaiyUiB9eJ5VT+pnFltYQxZxQ6Pc0f4l7SHSORbbuvJ18dE3cPPyJnQf8AMmf3wa\nY9/dg8nTT/Muaocen+s916ROkkpp3348j+llEdfh4OSncZdLc9JwLXiN+hh96pQgivz72Wk8iicF\nj/YiqfKPrs9LDKvQa4sMQ+cPfoQCc/Oi2+k1FQoTM+z46z12PfOx5GYgJTGUPxJIcSzIyUD8mg+Q\nuG0OTH1qw7bNKMgibwH5+XAfvxDmAc2RtON7Pm/CLuPtK3uRm5NWYvysea1Y2bPrmUbg2v+/5D44\nh7jVU5B2eAkrjx9NaIm9//wBmUL3TUZFVMWCvEzMvfqj5uvXPEaxk79sNVOF4yHxsO8xhc8RfTz0\nKAWt3vocj6LjX9qu4pMQRQMM+LejoKAAX375JTw8PGBjY8NZ0PHxJRMLtHHhwgV06tSJf56ypY8e\nPfpUt/c8YSCL/6d41sSM/gjuWP8W7B19YWxqBWVaLAdCO/aYCrGFHRI2fsqB1l37zUGf4b8iOzMB\nD26rVRRtRYlc2NQRrE2snrYzuDRyTE5hyg3MDN7CTSIE1xHfwnnILFahONql42v8h9m8Sj3+foEy\nD0k7f+Q2FXL6mnhU45+zbToQDh0msppII1dyghO5K1ApUK/xMCZoAmEbPmkDRIXkq6yxOxFYm+ZD\nmGzT/WkTMHUuoxFy7p2EPDEMSTt+4P5oj9eXQmxsDt+g9hw6Hhl2Hif2f8vnwMGpqoak6Z7rhXyu\naffRyNiEK/moJzv7+kGIjc2QlhyOZT+1x9pf+2D5Lx0Rcns/xw/JQq/onE+hAcZt7M86Y1NSPfk1\nsOHTCr229u/8HkqooMhOYWNM8q6fkC/LgfOI79jtfGj7V9i65k0s/Loh/pzbiT9uW/sW/26f8Tvh\nYG4NqBSQ0frDwd/Y0e3U50OY0Dns9g6rvzmc81i0y5idkVxi/MyPqTCAe9hr30GSl8VKJP1/QuPt\npB3f8Zjf1Nwa075aiToN22HJj+9i+U9TKq0qno49hfPxwfx5S5cm6OnXmc0sZb4+jIzgNOzbkiNq\nMwd8tnBZiQDuF6UqPgkMqqIB/3bMnz+fS0O2b9+Ou3fvQqlUYtCgQaX+/LVr19C5c2f06dMHDx8+\nxN9//43Nmzc/8e09bxjG0P+nEMgC9ycXG1EKOYuVCet+dO8wsjLiMGHKQeSrFBydQt7ilP0LeBRJ\nfx4bNR+jIXwUm0KVerUa6DbxFK/pe1ZB4fSYyA1NZJh2F4VxMD1mVV4O8sjJDBGHfMsibwMqJUy9\na/HOIKlGGWfW8+1Y1GyP7Ms7WdUj1ZB29uSxD1BQLDPPuPBxGptYol7TEfw5PQ5Zbjq2rZ/MZhsT\n90COkdE/dt/GZIBaTsSWDnrd5WQkIbOIsYsfJLYuMPGqicRNn3PszuOUSESEnGDCefvqNtSsPwAe\nPkUqJqlWpmY26Nb/W6j6fI2EmNu4fmkju8iTts0uei2MXAITM2s8vHMAudkpsLHzRGCtbqwia59P\niY2rpgGmVHPTvoUY+NrKMkl/XPQNJESeZse3TZP+3L1NtYpERGn31bJxX4TvXwwTRy+dCBsaP69a\nNABvf7ofLh7VYW3rip7DvmVFdMGXzZFfqMCKTC24EUce91DHXa2QuJb6j6G61i8AXy0+i/VLP8ON\nQmc3ha83aNYDw974HrVrBqJLvwmo0bAdfpk5Cn0GjkLNes1KqIr6av3y8zIwT0tV/Kz+VLi5uqJn\nt844cmmb3tcHGZe06y6Lj6j37F+ItKwc2FtbvvKqoiGA24D/Av744w9MmzYNzZqp/7+nIhFqm7t5\n8ybq1lUXQGhj5syZGDZsGKZOnarJnP7zzz+f+PaeNwxk8f8YpREzGgPu3jy1UmHd0eEX4eHdADZ2\n6jgPn6rNkGLljC79ZvPtHtrxOZIT1X+gCRKJCUeBlIbiGYpPAoVcivCHpyDNUZOcYRPW4dzxxSXI\ncWCNLlz3R3t4FHhNJhf6Q+wyZBaMJMawrNEW6afWceQLjR5FlvbIi6M/tkbIvXead/fSjv7JY2BS\nFmk3M/PSDj6Gzn1nQcImmZKRRYIphS42OvuM29nI4eXblFthiuc0ahtJSA1UJKhVI1JhSbGkzEbe\nj3SpCmn4NaSfWIWtaydhxGsbYe9UlRtobl7ejOxMGmkYwTegNZq2nYx+I34tlaTXazpS5/5NTC1L\nvNng68sYm5ZnbCEc2qk2ojgPmgkzz5r8uVWtDrCq25WVSRNnev0VwKH3hzB1CygR+URZiqamVvzc\nOxd+v0b9HhzMLZAu7s22tNe4q2s36sUB3KWpigJcPQPw+md/49S2b7BnywIsWH8XpjbuOrV+rbsM\nw851P2LvtpUIqNlIc31ZtX57wnfjbppa0evp3RktPJvw51+/OxFnRr6B5PUfMQEUXh85F7excu88\n8PNSz7UqPx9JGZlMFiujKuojihVRFQ1ROQb8lyGV6q5rSSQSnRa5nJwcVgebNm2quc7f3x8ODg64\nfv16CXJHI+bjx4/j448/RqNGjfh3a9asie+//x4dOnSo9O29CBjI4kvCs1bOngbaxOxJw7pVKjkU\nCqkmbocq8u5e38l/uPm2Cwo01XXyvBwOx27R/p3n9phuX93Kfcx0X0RM6dhICbK190KrzlNZ2bSx\nddc87mp1eiIh9g62rn0NcrkUInMrHl+qQ6S3sStaYusMReFYMOsiKX8iNlA4D/0GeRHX2YyScvBX\njpKh+/Ku2pyzH1OTwzWGDu3IIrqQYqiTQwgjVK3WHu1GTEdGWjSiw8+XQ8DUZpb6zcciIy0KMSnh\nTESpuzr10O/IvX9G/fwo87B+6RB+/DlZiajbZDiq+LdCbm4qbl3ajH9Wj0erztM4eoh+pqzXpPZr\nV3izQXFIW1aMfCrTVEriI6Ql3VV3Y6fFAYVkkUCOcMtaHZBz9wR/nxRdfZFPlKU4cNxCXAvehMS4\nELi4B6HrgJnc4JLw13SYBTbjfmqJcxUeKYukmWjV75tSj0mtKqoh1PplpCeiin9dJoraIAc0vcaD\najZEQuxjHVWRoE9VlEtTMP86udMBkZEIn9RVu88Jfj5eOLF1Lb6ct5iVQjKxUAd012b1cSA5UqOW\n6jvX9HPOtjYVVhXLGj+TqmiIyjHg3wCVqSVUpmbP7vYK1BTJ0VFdcyrgq6++wtdff61TW0ywtdX9\nd9POzk7zPW0QGSQCSurh1q1bUatWLf68d+/euHPnDkxNTSt1ey8CBrL4H6jYqyzoXU10xCWEh5zg\ngGI3z7oIrNkVEmPTSod1F/VAH2HF548fW3MPdPN2b8HMwg4Ht3+Kjr2/YnJI+YdUu3doB3Uei1Gz\nfv/n8vge3NqHI7u+ZDWMxqtJ8fdZQaQml6SEBzh3bBEe3TuCgWPUbmgBrh61MPL1Tbx7mR5+DXEU\n9UMEJ7A5qzjk5s24sA3pJwpbQAry2ZlMpINq+Bw6T9Yog8hOYXK0dG4bzfNMAeHFI4voNoUcwrzI\nW0ja/i3adPmQXwt0/oSIm1JzGgsd2KRAEtkiIkr3Szui1Nhi1agPsq/shnWLocgK3oz01MeoXqc3\n2nT9qOgYjM1xYNsnOH1oXtG58KyDTr2/gou7Oji8vNcu5Wb61+j8VG720HC1cSWoVhc81lICBZh4\nBCH7xgGY+dbXRPVoQ9g/dPeuAzfv2lj/22gMHL8IPv7N0GXknzi0YTK70wk51/fDxt4DI95bCQcX\n/3JVRQFu9kaws3fFxegdUCoVcHc00fk+7So+DrsPD2//Mmv9BFVx08ONiMymKCRguN8A1Hapoan1\nI/hX8cH6OR8i7eM3kJqr4AYXe0UmRn7zKw6WMqLOvbgNvZs30KiK+mr9iquKhLJUxbJgUBUN+K8j\nJSUF5ubmOsqiNqytrfljRobabCcgPT1d8z1t0G3RG7px48ahVatWfN2MGTOwePFiHD58GCNGjKjU\n7b0IGAwuLxCCaheV9JD/qHPeW8/3EZkYwtfT9583yM1KQdJb10xgAkdqGo2IVy3sxt3NQh5hqWHd\n94+yklTi8fR4j9s+xLbOeBx3F3+vmYCOvb5AYtw9rFnck0lNVMQlLP+lE5su+o5YXEiGni1oFy/4\n+K+oUa8fJBJTpKVEYMQbW9Bn+CKMfONvHpW7e9VDRmokk0YB9JhIAaRjGjB6Kfc/E+zaT2AyR6RO\nkRrDZMXUsybsurzJCtegMctQxbWGrtPZjv4QGyE+I0bneY5LU+cj6jMtqAOtc0uqb0bgHmX9OY1b\nNT+UnPCACZyxUxXk3CXTSwQcur4Dacg5mAc2g1U19T9IdMwPbu9jgxEh/OFp7Nk8BV5VaPRphF5D\n5mPw+NWQiE1YbUxNCi3xXNt1eYPJM33Ufu0+jWkqJhkwNlUrYQ1bjuExvGAmEW4ng9zlpIT76neQ\nC/uHNnZuGPveRt5bXD6vL+Z+XAe7lg+FLCcFEgdPuAyfw2ahPIkJ1iyeiNTEkjmLpamKhLbdRiM9\nNR6n96sr+QRVkYji1fPHcPfGeXTpq87YLEtVzM6Jw6831Y09ZmJTfFhHbdIRoOmABuDk6o6gqj5M\nFAlvDOrJ5hraW9U+R0l/fQhTWSq+HT/omdT6GVRFAwxQkzvti/YImmBlZQU/Pz9cuXJFc11ERARS\nU1NRr57aHKkNIoq1a9fWTNsEUPzVk9zei4BBWfyXV+xVVlGkJpOszHgMf30T3DzV0SdEHA7tnIk9\nm6dVqkWl+OOhOrrELV9y7y9FuBzdM4ubTqh32dElEHmyDDRqOQG1Gw6ChZWurP8sQIQv5vFVVs+6\n9P8Wuza8hRr1+8PKRp1/ZyQSoW7jYTiwbQZadHwPV86uRO0GAxF8ckkJtax9j89wbO83SD++AnmR\nNzkzkpQ/Y+cqcOw5Fcnbv0NAjc7wrtqML9qj2SO7vwasHPQ+z9G/j+cw7oqobxyKXlAAVU5qib1G\nGo2rCr/v498KPn7Ncebwz0jc/AVH/VClYdLWb9hEQ+5maehF9TkwtQLkObwi0KTN6zh75Bf4V++I\nXkMX4M95bbj7OrBWVwwYswwblw3DxVN/ovugH/m5zje1hMTOlU016uo+EWcYKlUKzWu3PNNUWWje\nog2uHnfDg1v7Me697dz1HLJ/Eb/maI/UWGICSzsPSO8ch3WDnnrbXWrU7w5zS/WbkEkf7UJ0xFX8\ns2oaxCo5HPt8zHE/wj/QQs7i+b1fo16djTqqojZR1FYVCa6efugx9EOsXfA2MhJD0Kn3WBSIjLHn\nzFasX/YDWnfqjw7tO5SrKq66uwIpMrULe2LQSPja+2hURQ1RLGzz0UZ4ag5GfvYDRFZOKDA116lS\nNBZLsGHW+/D3cIUiMkuvqqgPhlo/Awx4OrzxxhvsYCaHs5eXFz788EPeOaRIHMKUKVNw48YNnDhB\nxkPgzTff5FH20KFDeV9xyZIlSEtLQ9euXSt0ey8aBrL4L6/Yqwzio28i5vElDJmwVkMUCVY2rug9\ndAGrfuWNPQXlS9/jMXbwhMdrfyDnwRlkX98PafQ9tO/xKWo1GMiE8Xmh+HiUsGvTu8iTZeH6+XW4\ncWGDZlxqYUkktQCePg0RfGwRNq8eByMrxxL7mVERF9Fz8M84sONTdkcbO/vArv14jrEholhcKRP2\nPst7nm1bDOX8xZIh3dtL3KaQD0nxOfK4kCJSUDgat6zdEeknVqNJ60lMWK+cWwOZSgbIZRBZ2MCh\n50RY1WzH8T3UIsMdO4X91+eOLWSlNzkhBB17fYncnBTIpJmF5we8kkBj/JP7v0ObbtPx6O4RGJmY\nMRElx7Nwroi0KnPSeKxPj10wTWWmxyLkzgGolHI4OvvD2laXtGiT65Qc9etdJJagXc+PsWfjB/x1\n+x4fo+uA2Qi7fxyXz6xBVnoceo+Yj21r32SSRxmJwvkjoijKzeT9RAFECp1c/JHGyvf7MK+iuxQu\n5CzePLCYK/0sqU9bD7RVRUKOHBg6+Ud4eXli67qfsP2vX/h6axt7DBj1Hsa++YWOYqCtKgpEMSUz\nAsvuqJ2PtsbWeKfmpFJf32LzwpF7Ya3f59/8yg0uLqPUDnmhSpGC4FP/+RpL951Eawf1ztPTqIoE\nw66iAQZUDNOnT+dxdfv27XknsWPHjryPKEClUnH8jQAii/TzPXv25PFynTp1sGfPHlSpUqVCt/ei\nYSCLLwjPqvv4afA49Cy7gikYu8T9m1oisGYXhD44xsSlPOWLRrb6Hg+5h8m9auJUhceyZCR53kRR\n25BDETIJm2ZCXmj8sGk5HMb27hqDTkC1TrCycSsKBDe3LVXpfXBnP8a8uU2tlN07ivSY+3qVsqyM\neCTF34NEYgYzS/syn2dz3wbsTqZQ7qhy1DdNq83t43yMVL1HpIB6mOl3aARJ2Lb2dfgGtYU0JxkQ\nSYiVQJUhRer+hci+tgeqnAyoslOYQFJeIQWOW9XrhrgIdWUfqZNXzq7i10DVoHaa+7e18+Sd1sz0\nOCbYEhsnvRE+VENI3dnCa/fGpU04e/gXKJV5MLd04Jgdcwt7tO32MX+8dnEDHj88rVFyPfw6ofeQ\nz0hzQ51GA/m2T+6bi2vB6rgigpdvY4x6ezOcXAOKVEfN+ZOwokhE0bHYm5zIuJQKVfVRpR+RxfJU\nRQEudiL0HzUVXQe9jciwO7AyVcLXvyabm8raVRTw+61fkaPM4c/fqTUJboL6XY6qSJV+u06c4wBu\n7R5wYYfToulA7DmwCGkD2sDR2++5R+U8DQxtLQb8lyASiTB37ly+6MOiRfTvlfrvkoDPP/+cL09y\ney8aBrL4L6/Yqwzojybt4hXfkxBAmXTkEM7IiCuRR1hc+XoVHk9po33Lmu25Ck8lNkH2jYPwemet\nOpdw5fu4e30Hmnd4B9cvqomITcshZSq9nft8XWruI319bM83vMdJHdgEyi4kBS8vIazM89JzsNpM\nUp4jXl8+pPTRBc7Zo1BwipghV2zkibUal7BFUHMedRMhpPYS+jki0S4jf0D8ineYMFLIN/VfUy7j\nrs3vQ5abhs59ZukQ+4iHZ2BsYoGbl0mVLOA+bL0Zis0Gcc2gWCzBvRu7cXzvbDRu/RqvHJhb2CEm\n4jL2b5/BJho1jGDiHgDblsP52JMubMeaxQOYBFKVHxHGWvX7Iir8IqudDs5+cHYL0twn/czAsUvw\nOC4TTjbZsLJ20oyei8PcyrnMqj56PkjRtLZz1mtqIVVRmyiSqqgNsUSCRg3rlRvAra0qRqfexfoH\nf/HnbuYuPILWNrWUpSomRkSzK7os8ksKRnJWLoovejwLVZH+2KkKCiAp3K0y5CoaYEDFIOwj/lth\nIIsvCM+z+7iicPdpgAun/uDRo5Nr0R9fAilIoQ+Oo3rd3ujZcHC5e2evwuMpbeRLrSsJmz6DKjeD\nO5ZjV7wNYzs3KMnUUZCPtKQwJkKEiiq9xXMfydW9bc0k5OVlo/uguaga2BZ5skzcvvIPLpxaivTj\nq2BZrVWZ50UwCul7XAKJ1BeeTrtp5gHN4DL4S7XxJi0WKlkmJPYecB83n2N+CpQKZF3eBfPC3EeK\n0kneOoc/p9aZtBOruOWE7y83DW27z0DtRoM1au3+bTOQEHOTv753fSd/zDj9F4dZO/X5SNelTBE+\nKGAl7cLJ31GrwSC07jxNc1u7tkxBvrktJA5eEJtbw6p+dx5fp+ydD5dhc5jo01iZ1EIigQQicFUC\nWpb63Meni2BqbgdnN90IHW1ExmfC3iIdNep31clZ1H4+aHxdt2mfQlVR19RSGoRcRTK1VLbWjzD/\n+i9Q5KvPPZla7LWIrl5VMTlG86mLgy3/0SmL/IpFIrj4PFtV8XZcAv44dwmHHjyCXKVCoLUVhvv6\nYLivH0SlvPl8VVXFTHkeUvNkcDA1g41JyXG9AQYYUBIGsvgCUVqLiL59teeBKn4t4egcgIPbP0P/\nUUtgaa1uf1Aq8nB83xxuFyEDCOXsVaRF5WU/ntJG+0RI3EbNRcbZjcikAOOUKL6AHM4qOSIenUHn\nvt/g6O6vy46lgRFOH/4Z7bpOL2HOIAUtLfUxxr6zG7b2nnwdjXHJOENh45fOLOOOYpsWg0ucl7qN\nhuoNPafrb1zerDeahp6PxLi72LB0KOy7vAmbBr00x5J2bAU3zlBIt0CGiDCbUkPMld1MmInMQaXi\nkbM89j4/NlOfutxSk3l2Iy6fXgZFXjZMTCx5/zNfJWeTkmPvD7m2Mf3cFu75zou6zUHg5BDXPlf0\nhoJeP+mpkegxaF4J5ddtzDxIH11E8u55cBk6W9NAE792Gn9uXqsDQk6t455nc4uKvcHw89afp5aS\nGIaD22bj/o0DheYYEcQSEyT+9RGsmg7U3XOUZqBNt0mIS8rgDujyVEXtAG5CZWv97idcxM4wdWC7\nv40vhvn1L19VpM8t1efENjcVfZrXx6FSY3O2ole9INhbWZRQFdNzcpGUlQNna0sYR6ljiiqiKp4J\ne4yJm7YjyNkRX3brAHtzMxy8cBXf37mPWwoVvuvUodRpxatU6xeVnYlfb13CidgoVkfFRkZo7+mD\nd2s3hrdVUSalAQYYUBIGsviKVew9T5AbmCJktq17HSsXdIFvYFseMz5+dAZyeS56DvmZiWJFW1Re\n9uMpaxROREds66ImCnbuEFtYw9jOg0Odx7y9g4lyxKPTpSqjNOal2JqIiIuIWTYMI1/frPN4Htza\ny9mUAlHURsMW43Dt/DrYmVghudh5IUK4d+tHyDezhm3b0TD1rAFlRgIen9uCR+snw8TBq4TZZsOy\n4WxIigyl7uACmHkWZR+SuYFIGF2vTZrpjzeN4+mSFx+K+DVTWHGkNhhtc0rWJVINjRBQswuuX1gP\naS4RSyMYSUzh8eZKSApJikDuqC4v98FZjhEiQ5NQTUiPTUT7kvS6sbDXq/yKCklggUoOsblNYQPN\nQsiTHkP2+AZnJKr3G8smi6QqlgYiihTArSKDj1YdYFbwFijS4jnaiAgkPR8UsZOZm4nFX/fmrxu2\n6scd0NTUUtzUUhxPqirOuzoXBUTcAXxabwoszYsabbLzlEiKjYCzRMFROcVVRQHfvTMeJ9/6vESz\nC+UrmuYmY/b4j3RUxbCUdMz55zj2Xr8LVX4BxCIjdA/wxsxBfVC1HFVRoVLhw10H0DnIH4sH9mLV\nknYVO/bvh16PH2Py7n3o5FcVnf2eT2f0sySKE4/vhoeNCiv7maKeqxg3ElSYezYaE4/HYWWHPgbC\naIABZcBAFl8wnlf3cWXun8jSg9v7EfbgBJMDcr3WbjhYEzHzb3k8RaPwIpWFQrIzzm1G9s1D6oYL\nIyNWGuWxISiQ5nDcjaCoEqElIkYkiIiLJpaGcg1z02HXbjxybh+DPC0Gh3Z9CW/fpsjJSoCltSty\nspPh6dtYZ5eL9iGJJFLmIYHaY3oNnc87d8J52fbXZMhVChSkxXBzC5FZi6AWENk6Q2JkBNdSOqCj\noq7BptVQZJ7drCHHRBTlMaQSFvDtlKaSKpIj+Dy4jvhW0yWsfdumSiVnYrbs+D6HqottnGAR2ExD\nFHXqBfeqx9xZ1w/AxMVXU01I55IyKsUSUybh9ZoML6H8Uu82dT1T6412BSCNtVP2/MIjcgsrp6dS\nFanuj4ii6+iSpiUadXu710SPAW9j+c9jIBMb6xDK2xe34/57rbgD2sIx8JmrihejjuBEzHH+vIFj\nHfTwovQBIPz2Ncya/xv2HTvDNX1E5vp2aoNvpr0FfwsjjaqYH6/OYQ3wcsPZJd/is4XLsFur2aVX\n3UDM6j8W/m5FfdFEFHss3Qp3CwVW9i0iSfPOxqD3ohXY8/4kVHVyKFVVPP4oHIlZ2fi0U1smitpo\nW6UKWvt44+87dytEFl+mqvjr7ctMFM+/ZgErE/VzU89NjIE1jNF8eS5//8fmHV/KsRlgwLOCQqHA\n3r17OdibOqTJTU2ZjdQpTa7qIUOGwN5ef+pDeTCQxZeEZ9F9/KQgNZGyDunyb3882oTPunFfZF3e\nyYYOUhaNTCxg03QAEz4iJQXZKfzzWRlxuHlpM8JCjnMNniotlkkQQ2hsGTST9wGt6vdA7NLXEPv4\nMtJTIuDkEojwkFOcR3jvxi606PAeq3hHdn+FO1e3wczcBpbWLlypR5M5Crzu2v9b1KzfjwPQSR0k\nRc6m+SANSSEVk6oFy+yA3rsAmWc3MelLOfwHsm8f49xHdUUg5SdaslJYmkpKXdcCUSx+26S2CWSf\n+rFJZaMYFiLApPhRDBIpiUZi9T8XNJbOurSdCSq5p6maUFBda9TtjQsnl8CnanMd5ZdyKinQ3Lbl\nCK5C1Iz6RWI25dD54GigckCqYmlEUZqTjnvX9zMB1HceKSYndP9inDA14h1Kl1II5fqln3EHdGmm\nlvJURX0B3AV5mZh75QfN15/VnwozMzOERTxG95Gvwd1MhpV9TYrIXHAwOgy/guO/f4ugalqk3cZB\nQxg3Th2NdJEFd0BTtZ9VWlyJWr85B88xUQyeZF6CJLVYIcW3e49i+bghpe4qRqSmwc3GCt726mMg\nVVHb1NLA3Q277odovs6Q5SFVmgsHcwvYmpnqEMWXuaN4IiaSFUXhHAigrz9uZYxJOyP55ww7jAb8\nGyGXyzmnkbqlqSKwdevW6NevH39OsTuRkZFYvXo1pk2bhvHjx+PLL7+Eq6trpe7DQBYN+FehuIJJ\nJGXQ2OXYuGw40g79rv4hCouu2hB27cYx4RNbOSD1wGLY2/twnuD2v95EvkrBfdYlQDtu9CEvF4qU\naOSGX0G+VJ1N2GvoQnj61Gcz0MkDP+LmpY0c3O3uWRd3rm5lEh5UqztXKeZmp/D+npdvMxzbOxt+\n1Trg7NGFkNi7w23szzokhVpX4teox8P6IBhIqDVFkRqL9NProMpK0ck7pBxFRWp0ifBuJqJpsfy7\n5Rl5BHJHTTy5Dy/wOci+tg+mXjVh7t8Esshif/AL8hERcopd9MLaQZuu07le8a8lA/hc2Dn6IPXw\nH0wwzf2bwqZJ/6IGGiK3gc059kVQGSsyhi4N2VnJ5cbk0Kj79pUDZRLKWwcWw0qcTpufmu9VRlXU\nhqAqHo46hGvJ1/jzDu6t0NGnDX8+e/YcJorBE82KkbkCtFgpw1crt2Djj19oVEUBqphwGNk68xEK\ntX7FkS6VYe/dcFYU9ZGk6S0lmLTrAdJzpbCzMNfrgLYzN0NqrgxZeXlQ3ikihQKiMzKZFD5Oz8Av\nwcE4Ghah2Qfs7OeLaS1aoIpd4SrDS1IVycxCx0REXB/quoqhLCjgnzOQRQP+jdi+fTuuXr2KAwcO\nlBnaHRsbixUrVuC7777DwoXlvznXhoEsGlAqaNRKY9UHN/dASoHLDj6o02gwj6zJMPAiUVYvMXU6\n084cRdhY1u4E+46TNLlz7Hi9vIuzJWMjr2LnxnfVMTBWzqhWpwcun1kBsa0rExVVZiLM/BpDnhyJ\n+LUf0nId34bYypFzCoUxHJGjDj0/5z7mW5e34PbVrRxJ1Lzd27h/ay8y0qLRb9TvHIJ+/sRv/L3r\nFzcgKiwYDj2L8vEEkLJW1hhZUOBMvesg584JGNt76s07jF35HpTZqTqNHpRBSKYWHsnrgXbEkTDW\nj4i9zVVy2SlRsG4+FJDnslqrSKO8RTWMXQPg1PN9zV4lGZ1of5UII4W+Xz67Etcu/IW8Qse3yNIB\n5kHNoUiO1GqgSdOQWKGqr6wxdFmqIoEidMqLyaHvVyR3MSMtEVY29s9EVVTK0vDztSLTz6f11cav\n9IwM7D12Gkt6GmPnfSXisvPhbSNC32oSNZlrIcak3ec5W9FWS1UsDcVVxaRsKe8olkmS8guQnJ0D\nUWiY3p/pVi0QX+4/hrWXrmOkhYWOqhiblYX9j0IxoX49jNy6Fe5WxfcBozByayx+rVILXqbPL2u1\nPJDrmcgrHRMR8eK4maDiFRD6OQMM+Ddi2LBhfCkPHh4e+OKLL57oPv7dwT8GPDdkpMVg05/DcPfa\ndtSo1xcdenzGpOzUoZ+wa+O73MzxKnVqt2j/DhOkvIjrnEOo20ucgXbdZ/BtEXlRqZQIqt0NofeP\n8Q6dx8TF8HzjTxgZm3M+o+vQ2TwqNhGMJCL6AyPiTutHdw9z9h+Nnjv2/oq/TeSDVErqpHZwqoph\nr21AFf9W3IwjEhvz984fX8xZjMr0BKQdX4noPyYhatFIxG/8FLKI60wESQXU2wFdqMARckOCWTnU\np4rZtR6BAiKFhVV8VYPaY9zbO9m8knl+G7LvHEfG+b9535BjhfREHBH5Fstz+fcJWee3IPvWEeTc\nOY6CQoXVsm5XKBLDIDKzgVXtThx9Q45nMjoJ9ZHXLq5HgaU9dzA7D/oCEhtHTX92yv5FMHb0YsJL\nyq8QYRNUu0upqmJZphYBWSoH+NXqybel7zzS9bUaddcQSn0Qchdt7V0qpSqWVeu3LXQrHmWolb8B\nVXqikZs6lzE54iHvKH5wKA8Tdkqx8IIco7dL4TU/G5tuK9RkTpWPhJC7elVFAaQq6qv1c/P15/1H\nIkn6wCRJZAQnK8tScxVtzc3wXpvm+On4GSy4F4LIjAxk5uVhz4MQjN22E1421ghJSWaieP41c4yt\nZ8KEjD7S13T9n/ERL1RVpHFyRFYGfySQWkiu57lnFciW64Yi09d0fTtPH4OqaMB/BufOnUNUVNQz\nvU1JZZcnly1bhujoaK6oobm4gDt37mD37t2YMUP9R9mAfzdovGpiaoXBE9ZwsDKhVsOBHK3z9+rx\n7Jxt1GrCK9Op3WvILzwGtjG3Y1JS3JlNyqgaRhwL8+DmXmRnJfA1iVu/gXO/GTAPbIrcu6cge3xd\nZ4eOxtikOlJFHoGaWuo1HQG/auqFeImxGdy9GmDQuOWaYz51cC6rsvZOVbntJrBGZzy8ewgZZzfw\nLqV1o94QW9rzTmDyzh+5w5n2FqkNhUKuizqgt0KVk84KHLW3EBEsb1zdb9QfcPeqqyGAfoFtmeSm\n7PkZRmZWKJDLkHrod4hMLUE0uPWIoogjUgaHT1yPNb8WRfPQCJkczpTHaOzih9y7J/g4Ev7+kvMr\nLaq3gVXjPgg99DuvCeh7viwCmkGZmYT4DTOQL83iTmk6DiL0ROKI0LfvKYR264LidDJSUlE9kJzn\nZas/Q8bPwsKvOuutAxTLsjBk0lxIJCa4V0buYpM2/UpVFQWiqDlfWgk1+lRFWW4SFt5Q78MaiyT4\nuB4p22pcunGbP7b2EWPdAHM4WYgQl5WPb07mYeRWKT5saQyJWARnO2uNqkhEsTwIuYp2lhbo3aAm\n5p17wDuK2qNoIknzzinRvXY1VhXLqvV7u1VTICEJK8MjsWbdBr6OshXJ1DKteTP03rCpjH1ACSbt\nTH0h+4BlRePQhVzPZGahHUUi4kSWiSjGZooxp0ORWc0AA/7tyMrKQps2bXDkyBE2twjIy8vD5cuX\n0apVq+dLFkePHo1jx47xnf/000/49NNPMWvWLP5eXFwcH5iBLP77QWNUitPpM3yxhigKcPWsjVoN\nBuDm5c3PjCyW5aSuaKc2BWKTAhoechLj39/He4XC7RXk5+PkwblsrCB1j8boDVqMw7rf+sChx3vI\nOLcFif/Mgogeq1jCZMasSr1ChU7Mo1PrRn2QdXUvJkw5wMdz9ugCrk8kQk0ELSo8GFHhF7ijOT7m\nFq4Gr0G3Ad/zeaLbad3lI0SGBSOPArKVebBp2AdiK3vYNOrDWYhpR5YCEhM+VjKzsMO5sOlEUODI\n/VzeuJoIsjZRTIy7h6N7voGLe00kJz7UGUfny7JAQ9WTh+bpZEkqFGqyU6vhIG5hofNIz8/aX3tz\n1A+pigRJoXuezEESBw9WWEnlLe35IoONXeuRTMKFUTmNnklRJKJIzSzaSE2OwPG9P+Dh7cMa8l+j\nfg+9tX6JmWoVz8nNH1NmHcHeTbNwWxOTI0G9Zn0wYNwcuLj788cHH7XVSygleVkY/db3paqKmnOt\nUJZZ6yeoimvvr0F8rjpge0zAUAQ5Fv7DnZGI39ZsgpebK6KzUmEmUd+Pu7UIv/cyQ1h6Pn6/pESf\nZvVhX6j8CaiIqii0tXw5sAe6fh+GFstzMV2LJBFRjMuRYH6AD8pD+rXbGFm1Cka3a4fr8QmQKRWo\n5ugIVysrhKelVWAfUL03+DzJYkWicehCrueJOyPVLTRGRqwoElE05Cwa8F9Ct27duFu6Xbt2OHTo\nEGrVqoVNmzYxP+vevfvzJYsxMTHYv38/7t+/z3NvsmX36dOH2wS++ko9jjPgv4G0ZLV64eXbRO/3\nKULmxsUNTMhof+957CEKxKUyndpN27zBo+VdG95B03ZvwsO7AbfVUO8xxbkIlXx0naWVI98fEQmX\ngZ8jbtX76tFrQT4TH94T5KDhAhQo8iCmuB3aa1TK0aD5GGSkRfE5sLb1QFZGLN/u1jUT4eRWHTa2\nHnz8CbF3ERd1HV5VmrBxI0+WBYmJJZQKKVKP/gnb5kOQHrwZ0gdn1Q+GInWUNDorgGWtjkwOVRkJ\nrEASaA+TYnYE1zM3tSjy2KVcQB3O5/8p0Zpz+ewKdmcnxt1hhzi5u8mwIg27gty7J/m+ImJu4/GS\nAeg/4jf4+LdAVNh5dYh17F3eUxXxGJ4gQva1vRDbuHBANwVzi4xN2Skd/5c6268ARuU+X3Qex76/\nE2b0eKyc9I6eiShSBWCBha1O7iQ1sVCO4uQZ+0oQxioexhrCOG7qWuTmpCEmPhUW1s4I8isiWEQY\n355zGie2zsTVQkJJo+c6zfritSk/wN0roEKqYnm1fpnZ0fjjttp0ZSmxwNTab2h+PjwqBvcehWHl\n/O/w8dffsZmFdhQFMnc/GchVFGDawK6lqor6TC2kKmrX+vm5OmHHsG744fRVTNwVxTuMNHomRXFZ\nr05wjIsrU1UUIOwqNvX00LmeXM+vwj5gRaNx6GJocDHg/wHvvPMOu6E7deoEX19fPH78GF9//TUm\nTZr0RLdXYbJId1S7dm0mioS6devi1KlTLHWam5ujYcOGT3QABrx6MDGz1uyemRZ+ro2szARIjM01\nIcxPs4dI48riIdTaZonKdFATSRo6cR1OHvgBB7Z+rCGHLu614OXblMOQqWUkPuYmj9H9qndE5Plt\nsO8ymYkUkwZLR5h61ULC+k8gMreFqXdNiM2skX5iJd9W8LFFSEuOQHKi2hmao8iFiXsQFClRvP+Y\nHH+fL4QbaRtYeew1bAGbb4yNzTHyjS3YvHI0cu+fQe7904WPQk1KyYhCYdi0E5hz6wjM/BpBkRaj\nkwNJ90V7i9G/j+efL6D9QroFE3Mmjk0G/axRZHOyU/h+mRRLTOH51iqILdRNFVa1OkBarxsSN34K\nowIlRDbO2LHhbYx9ewefN2pySUl8iIPbP0Xrzh/A2tYN5pb2PM6nkbzI0p6JojCmF0nMkI8szvsr\n//mSsIpYluv52J7voKSuaysH5Nw+CoVrABNdi9HqeBvKUxwxeaWOqlgcFrQz6eYEb1fd1yl1QNet\nHYS6tbcgJysNmemJEJm7ws/boUK1fuWpigKW3v4DGXL1+sMb1cfC09ZD09aiKLzJOh4OOLJqIWYt\nWYOJu9Q5izR6blWvJiKv3oZrYWSNPlWRoE9VLI6q9jZYMXkcu57JzEI7iuR+1heVUxwUlVMWyAlN\nrmcys+gbdb+IfcDKRuMIFwP+e5CbWEJs8uzemMjz9Svm/waEhoZy5mJmZiY7pU+fPo1mzZo98e1V\n+K89jZ7Dw3Xf2VapUgVHjx5F27Ztn0jWNODVBLWFkGJ27fxarsXTBlUD0miVYlEqWvGlb+RMNXrl\n7SFS2HdlO6ipgabviF+RnZmIzPRo3rUj08neLdM4vLj3kPkc60IuZTKfkPM1cdNnhYSNSFR7Jork\n1KUIGYm1M8e9SEOvwkJsDKUyD+7e9TmAOibqGixrd4Bd69FIObCIlTrKOyzIy1Efi50X+o78jUf5\nRL6IWJiaW7MaW6vBQNy5vp1JnG3LoZAnRUAWdpXvN+fmYSaPstBL8PZvBZERELlvYSH5NeL/hPsQ\nwLV2Bfl4/OgsLp5eplFrBRABFYiiAFNXtVpEdYA2LYch/fBSHNv/HZuFzhz5BW26fMSu5pW3qanG\nC9KcFPUvGhlx3A+ZiIQaQ5FSzmN+2s8s6/kqz8hCSIi9h4e3D7GxyMS4God459w9iczLO+HYcyqP\nju/tX8y5iuaFvcqCqqiN1Jzy/6G3tLZHvrEuSSyuKlY0gFtbVUxIf4TV91apf9fUHm/WGKdT61fV\nxxvWlpY4cPYSPnxjPNbP/xZp4Q+QIivg/uf5f23F/bBIePr6PrGqyI/lfpE5hgiiEJEjoDKqYmmg\neBxyPTdfLuUdRc0+4BkFYrOe/z6gIRrHAAN0QaHcvXv3xuDBg/HgwQMW9vr27cu+kqZNm+K5kkUX\nFxdmpXRnNH4WEBgYyAdGs/EGDRo80UEY8OJQkaYVGju26jQFB7Z9woSqUcuJsLHz4CiYs0fnIycr\nCU1av/ZUI2cCmTqIHGkTCu09RDpWOsYn6aCmNhrtRhoXj1q4dHo5xBJjTJp2BOdP/s7B3NJcCqIm\nqF2SNOI1MrWAbYuhkIZd5UBqCvomZBuJeGeTwsw3LhvBpI0ILilszn2mQ9F6FKSPLiH34TnkRd1B\nVnYiRIWu4ioBrdlYcXT3NxzYTfuDHBROvcvU5EL/Mzp4wanfx0jZOQ+OFg6Ij76Bdl0/gpNrEI+9\nVy3sUXioBbBrPwF50Xf4/vjYCxWuc8cWQWLvCVOfOsiLvcdqI4HUOXIum3nX4q9pxJ3NpFStaooL\ndy8jH51hxdjFvQZuX/0Hg8evZhWVAsnp/NnYeyI1OQx5j2+ys1kwETVr8wbWLx3Mv1va80VEETlp\nqN9shE4HNH1OY3oaSVOo+e4N6ufTZfBXnJfJD5n2IU+s5v1Ip74fc14i5SqSA1ofUZRJs3Dt9HbI\n0h/gmrkVGrUaDE/f2oiMiUd6zFmESLPh5hkAb7+6gLGDTltLWapiRWv9Ft1YAJlKxp9PrfUGnKwc\nNd8zNrMAHfGYPp3xy5ot6N6hLWoF+sHe2gpObra4dOcBftu0A1OG9oGxRKJXVaTAdNi7lTC16IPE\nvWTt5rNQFQVQjuKGQYMwPzgYE3eqcxZpBbOdZxXMafz89wEN0TgGGKALGj+fOXMGTZqoV8lGjRoF\nS0tLNib/888/3OZSWVRqjvjbb7+xkaU4aDxNEie5pA14NVGR/UBtVK/bG/n5KlaYbl7apDGHOLtV\nx+BxK2FfzIzwJCNncvpSiLRg4NC3hygEbz9tBzUpeRdO/sEB2V36zkaNun1w/dJGSBx8YGRiCmVK\nVGHbywnkU6D2idWFv1nA2Y1WdbsgL+YeIm4cRtgqUony2dVsWa1IUafHYNykH0y9a3HItkouw+7N\nU9B3+GKOz3HxqInQ+0fg6BKEhBj1H2KLGm2hSIqAMiuJSWDippnsho4vJJB0zmWFcT+m5ja892ji\nVZvPHe0yUuuLsXMVpOyZD0VKpDpTMS8bihQpbFuNgCI5Gjm3jwD5+Ujc8gWch8xC7pVdyA6hnuki\nyNOiWcmz7/wGYq/uA7LTYGFhj7+W9Id31eZqo1CBCqlJYeg19Bc28mi/6aD9TcqTpOtJSS3+fJFR\nyMrGGTnSLGxeNpafP9/A1vz4Hj86p+lr9qraBEnxD3h/lN5ICKDv2XWYiNzQS8i6tpdH2ZSrmKUn\nFebutYNY/9vrUCpk8PGvj4y0OOzf8gPsnX2RkRKN/HxtddAIjVv3wbj3ftK7q/gktX7hyTfw96Mt\n/Lm3pSfGBA7VURUFfPn2eNx4GIGWQyahX5smqBUUgOsPQrHn1Hl0blADn4weUEJVfJyQjHmrNuLv\nS3eRKcvjncSJnVthfJA7LD19S1UV9eFZqIrahHFBj+7c4PLo9DXYS0zgWqMmXgSKonGiX9oo3AAD\nXiXoUw/79+8PCwsLbNy48YnIolEBv0X970IqlfIJevfzKxxx8v8IbbLGSk8hWROUOWE/UB/IxEIu\nXyIsZHZw9ahdYvxcnlq5Z8s0zkTUHjkLY0kii5S5R2YJARSnQhV0k6ef1uuOrmgHdfGfJac0HYu5\nhdowks1jVfWuoF2bMZxfSEocKWKSvFwoTc1h7FUDOdcP6L8DkQS2zQbBtvVIJjPax09uX1b3Ht/Q\nXG9h6chk+3HoOY2SSTBxC4RT7w8gtnbi86GO1LkOE1Nr3rUMDzmhM1KG2BjGdrpNMNl3TyJl9zwm\nWURiPV//A2JLO1agohePRr4QHWRkBBtTQCovgJeNEdJkatd1tsIIEp/6cB36DT8vdA68nQN43YD2\nHmn9gJTa21f+QbU6PbmpRXBJUxD5uaML2GXevkfR80gIj86AmdEj7Fj/PmBpp3Yfa9ccZsTzuTev\n2kDdRHNiNVS56XCv2gYpmZElXjOpx5Yj++pe1KjXDZ1GrC6hKsZF3sGCL9rDv3ZXjHrzRzazqFQq\n/Di9NaJCr7GRRUI1jo37IZ8iec7/zc+/uZkFflx+HjYuASVURW2yWFxVJLIoqIoCWXz38Bjsf7yP\nP1/c4juMrD5Yfeozk5Cdp0RSSiqcJQrY21hDKTbB5s1/468DJxGflgkvFyeMbdcQw3p2hUQi1slV\nvBcZg66f/AgrEwle69YOPs6OOHc/FOuOnUMDLxf8Pf1NmBkb65DFslTFssiioCpWlCy+7A5obTe0\nvmgcckIbHM/PHzKVEq23r0Nubi57GV703/noBzdhbvbs/s5LZTJ4Vav7wh/P8wTtMNrYVF7tNzS4\n/B+gIjmFtB+oD7Rf5xtQlKdZWbWyvOgbImgU0kxjUXL76ttDrGwHdVnHNebtHdj390fsDiYlzdjB\nC0ZiY6SfXM1jXSKtlg17IO3QEtg1moDM839DZOXIYdfsVBYbq93Hcikff8bFrVDJsuDY9W3dEO2g\nFrBtMYxHtT0G/8Q7f86u1TiW5o8fW8GqYS/OGcy5c4w/pxE0kXDrpgOQWpjvSGpkdEqo+tyZWiJp\n2xwmqOSaphxInfG94EovyIdFYFMmigS6TeeBM5GwcYa6yrCgAN7WIjRwE+NctAo2pkY4OtYCfTZK\nEVlIYIVVgLD9i9Cl7zeoVrtw/E27doFtsX/rJ3hwax/nWlJkkRpGyMqM53MvPPcxyWSWssX1UxuZ\nKOrrYqZcybzou0y66Tpqikk/tY65tFiaWSLehow/pEI6V2mD1MSHqOJRpF4lx4dixc/D2LEecn0P\nvn57P+o164sGLfszUXRwC0Bq/CM4DVLnQ/LrqUo9PgaFhS1W//YpZi/456lUxZuxZzREsaZdEAb4\nqvMqw29fw6z5v2HfMbWJhcKy+3Zqg2+mvYWxPdpjwuB+6tdPYa2fSIsoCnhn8RpUcbDB7ikjYeOh\nPscDWzTAsAA39PpzG5YfC8a73dq+cFXxZRNFAhHBVzkax+DANuBVwZMQRYKBLP7HUdGcQmE/8Fm7\nmennyo1SyVchL/IW8uW5Ze4hPovjatZmspoo0k7csDmQkKvX0g6K5MdI/HsW0k6sgplPXf5+7sPz\nnL1o23IYUvb8ws0xRGiIEJJDmUK06XepP9m8aiMe/2rX2NHYmhTHKv4tNec2Iz2GVUXret1g7FwV\nInNrpO5bwLE3Jq5+kMeTcaEAYokpRLZuGoKfr5Cx49nE1R95UbchKmYQkScXdQdb1u6s8z0zrxqw\nbtIfWRe28td3kvIRkpKPwTUlmNvFDF42Inza2gQTdt3QkPbiqwACqga1w5Dxq7F51WgoAJgHtYBl\nrQ5MnqOKPfcETxcl/rl9qNQuZhq5U65k4tbZXNNoEdCcdzjjIs7gzRkHcergQtwrjLfRuMYpG3K7\nOsA7uEZrDH1tEX9OYdy0/2hRvTXvnNLzTuHbty/vg6N7IFLiQ1lZlcc+0JBFU49qMHGvxm8Arp3d\niazMNFjb2D/RrmJBXibmXv1R8/Wn9abA3MwcYRGP0X3ka9wBvbKviSYDcF5wMDoMv4Ljv3+LoGpF\n57h4rZ+gKgbffYRdU0ZoiKKwq1jHwxkjWjXC6lMXNWTxaXcVn4QovmwyRgTx84at+EKmF9plfNmj\n57KCwl82gTXAgMrAQBb/46hMTmFlyGJ5aiW5aikqhogqoczeYxghafu3ld5DfJLjunByCXz8WiIy\n/DwSN32uqcYjJZBaVbIu7+IIHD62mPu8EygNCYaZb33N8dPtUpRNyr4Fmv23pG2zWamkWj4iijRK\n1qeQFo8Ccuj4GqxqdUT2rcNQZiSyA1uZFguVMg92zYtq/UTGZmxQybl3ir+mNpb8DpNg7tcIefGP\nWAEVQL+PKnWLvs5MQu5dIaYHODLGHA3dJbDXUsZobEducWqJIbKoHUlUHBdOL4XIxhXuxUbE2kp1\ng45qpZqMK+V1MRMBVCRHafZXTX3qIi/yJruih7+xArLcDJzYvwDnDv/Oe5EDJu+Ai3d9KNKDsXfT\n1/h9Ti94+NRFvrkNRCoFB4fTuRWe95jfx0OanaZ+rgu7obUhsXZEfl6uuhM6NZHJ4pOoiqdjTyE4\nnlYMgOYujdDRow1/Pnv2HCaKwRPNimUAFnC+4lcrt2Djj19oVEV9tX4PY9RtQ839vUscCzmgWwSm\nYOWJC7x2kPvgnt5zXRlV8UnwssbPpZGxV4EolhcUbiCMBvxbYCCL/3FUJqfwWamVFrU7IPLUWpg4\neMGx1xTuFc48v7XU6Juq1dqjTZcPK7SH+DTHRZV0qQcWIzb6Gnc/2zQfrGW22Qbp4xvsTs6+shdm\nlg6Q5aTy96kbmX6+ZLh0ARy7voOUXT8yCWGS4l4NsqjbyL60S69Cqi8KiBRFB9fJ6h3OtR/Aw6ch\nYiOvliBYdm3HsFopl2UzuVHXERbuPooksG42CFkXtiGV2mCMjCC2sEPGuU0atZJQy1mETn4l3cO0\n30UB+6SUqp+XbXpXASqiVD/atxBis19gKsmCqZlN+W8WRGK4jvgWiX9/zaqiZY02rDRvX/M+Tu6n\n+CQbxD6+AWMTc4yf+jfMnJuqdxV9OsPHvzHmTm+C+zcOMbGnDMrcB+dg07if5piI6Ody8LkRq9im\nntU191+gVEAWfRemntXUndAOLuWqivpq/fLzMvDTtbmarz+rNxVmZmZIz8jA3mOnWVHUlwFIQdyT\ndp9HWmYWbPWoigIcrNXMNVJhjOp6HNARSakciyPsE79oVZGIYon7k+c9V4XvVSdjFQ0KN8CA/yxZ\njI+PxyeffMIZi+SE3rx5M6ZOnYrly5dzKK8Brw4qm1P4LNRKWfg1SOzc4TrmJ74/IlGkGtGFdhSL\nR9+0G1FUNfe8VVRCgcQM7mN/KaE8xq2aAqUsG0Z5OWjeYQpOHPiWSQ65nGmvjlQb4Y+xWhEF0k+s\nYtJI6iQRHLoQfPxboeOI3/U+Lo6WWT4CCes+grXO+dgGkTQL7Qb9jE3LRpQgWKrcDM5xZIVMy5Ym\nsrCHVcMe3GvN38hXMSkmciS2c+M9SFLq5AmhyFEUsEO0uGP0+7NKmHnXgfTRBTaeiHIzdTqjK3qO\n5XHqSKDIB9vh6lkLKQlqRTPt6HKYB7aA2LSoTFmz3xnYnKsAhf1VZXIkajbshTbd3sO9a/uQFBfC\nZPGdL05AZaZLZChnsXbj3gg+upKPiXIxEzZ9xsYVGnGTi5/CvIksEhkuEBtrGnHo+Uw/u0Fde5ga\ng+bt+2lG0PpUxbJq/fZG7MGdVDUZa2PfHLWs1ZQuOeIh7yiWWYenykdCyF3YernpVRUJja0Abwcb\nLNpzFL+/OUpHVcyUyrD65AUMaVa/VFNLcVUxQypDck4unCwtYGtuVqmonNIgqIovavT6KpOxygaF\nG2DA0+LatWvYulW9alRRUAxiRYO6K00WaVTVr18/1KxZE9OmTeMKQMr0oXfRq1atwmuvVS5/z4Dn\njyfJKXxStZJ23mSRN+HYc4qGjBHZovEiqUZFncBPP3KuzHERFKlR/NHIwlqvKmbsUgXK9Fj0H7kE\nji7+OHHwO1ZEHbq+jewbB5F98xDvGhLJyQhWGyGoa5naX7zeXQd5QjgbSRycA5CWFApLqggsxXyT\nJ80CpJmcG8jHVOx8FCf4irRYxK35AAWKXHUtIf3Pa+fGzuH83DRkntmguQ/qsSY1N1+aCVV6HLIu\nbuOKP6d+MxB7cBGaLMvhHUXBMfr9aTkepeVDmXQDuYVkd8Trm/Q+L2Wd4+w7x5F1dQ+rmq99dIij\nbZLiQ7D8p65MyGKXTYZ9+/Ga15/2fqf2/qpRbib3P9N91W8xDBEh5/Dg1iE4OPsiKYsyELORGJsM\nK1snbmlx8VCTFDomGtXbd3wdaceW8XNG+6d5RGD53y4Vbz3G/vkGTKvUhSLpMccW0RjaWCnFxPd+\nKFNV5HOrR1WUS1Pw46Uf1F/kA6dnn0fQtGbo1a0zpo4bBrFIVHYdnlgEZzvrUmv9CHQbs8cMxPiF\nq/m9yeR6VeFtb4MLtx7gux2HIFcq8V73tkCiunpSn6pIRDEiNQ0/Hj2FQw9CNUSuW/UAfNyxDSub\nT6sqvii171UnY4agcANeNEjIkGjlslb0dyqKSpPFkJAQpKSkYOXKlawsElkkdOjQgfN7DGTx1cOz\nyCmsqFqpTI9nMlhceSLCSE7j3IcXkbTtG5ib23P4d0ZaNGztvWEk0l/Z9qyOSxit8jEmR7Lj1qbF\nEN4FpKy/3HunIX10kb9PtXZ0W6QO0m5j6uElMA9oympd9rX9THBUOeowbzJ2OPX5iN3KyswEPq/k\nLF//x0B2DNdupI5NKW6+ofE8nSNZzD1kX9wFo7wsneeiOMHPuX1cvWuXXwDzwOZw6PImkxy6Lvv2\nMY4aItMLGWaYsFEcUIeJMHUP4jo+IceS7jNi91yM3/GIxUn6t4IcwQXKBCAjHhJrV/h61WH3NrWx\nFF8NKO0ck0pHJh06D4HV2jJRJFjZuPI5MfGoDnn8Qw051t7vFI5N3cctwsBxC3Bw22zcv3FA/ZgL\nO7sP71uOmPBghN/Zr8llrN2I8kAVMLWw49BvOiabJv1gVrUBB6rLEyO4X7tqtSYY+eY87Fg/Fw+u\nHynsxVaT9KZN2zNR9PAJKKEqllXrJ6iKv1/4DXEyNUlrmybGokFmhQaW4xhyLhgdWzXFvOArvKNY\nXNGdF6xCn2b1YG9lqXPb2qoitbVQrd/glu78j/uX63di3Ynzmu+3ruaHvR9Phn1ibJmqIhHFgavW\nw92qGJE7F44By8KxumVzBD2lqvii1L5XnYwZgsINeNGoX78+X54XKk0Wc3Jy4ODgUIKRUpYZJYQb\n8GqCSAiRmMrkFD6JWpnJipuRXuWJApWTdn7Pn0vl2Xh49xBCbu+Hh3cDrsXjn3nKYytTRc1JJ5bC\nFX0ZF7ZyuLOxS1Uo0xO475hzEaPuaPY3O/b4DBuWDYMiK5m7nwnyhKKaNXInuwyZBTOvmjojfQdn\nP1Txb4WIR2d0yKJgvnEZ/SMK8tSdztb1e7DBpXiEkTbBf7SXdhPVihd1Mjv3n6HJdaSP1hQYHnmT\n1USXod+wWYgIkrmWKUcAETP7bu9zpA85pKWhl5GXEM4jWw4il2VBnpeDpXPblBqHpO8cy6LvsKNc\nYmyJ9j3VTmUCtbQE1e6KsMjrKKC6Q+86UGWl8I4ijZ6LVwEG1GiHHes+RL6FDTuoidzmJYQh7dDv\nOL2LiKW75np6jd0/uxGK9Hg06fwu7lzYqBO1Y+IWAHnkLXYkv/XZOlg4BuKtr9twW0t2ZhriExNh\nY+8CXy/1861NFPVBn6qYkxOPpXeXACaAWQHwl4M5vCHSMbCQEhgvM+XPaUdRUHSJKNL1m8YNKFNV\n1MagFg3R3ckc17ILEJOaBhsLczSu6g3jqIhSf0dQFef+s4uJ4vlJ5nqJ3O9RMVhQuw6eVFV8kWrf\nq07GDEHhBvzXUGmyWKNGDTx69AhXrlzRIYpr1qzhLkIDXm1UJKfwadVKhYMP4oopT4qUaCRt/45H\ntmZVG7IaR2TDxdqN8/LW/tYX0py0CrXLVOS4Th6ah/BCkqWtotLxRsaHwOO1JcgNOQdlehxMPWuy\nykX5hgE1OmvOD93WyNc3qwnb3SPqO6DQayMxCkRiVvKMxCYcwl18pC+WmHDrigAi6XQbRFTjKXaH\nHMv0P6C9BzfHWDXtj9ADi3UijASCTzWLm5aP4OuoMUY7AFyAVf2eTBapho92/ygnsjxTiW3L4bBr\nPYp3SWnPlPYdjVCA+IyYMuOQ9D33wmi826Bv4FCs3YfIY/jCvvw5mXlyksKRuOUrzorUJvOUq8ge\nFAubEpmMlIeZsP5jKLNTocpOg9xIBFnkbSiyUvjn5NlR+GTeKWxfMxM3CqN2yLDSoGVfDHvtO7h6\nBiBLBk2tn5WNPdzN7DUB3CXOUQVVxSXXfoPcRP3992DCRLGkgeUijq1agB9XbsLEXcFQ5Rfw6Llv\nu+bYNKw7/D2KailLUxW18TgtE78fv4a91+/ybVFmY/cAb8wc1AdVSzG10I7iwfuPyiZyuyK4gcXW\nzPSJVMUnUfue1ATzbyBjtKNJo3ci4vqCwp93Z7YBBrxUskgp6T/99BPXxQQFBSE2NhZ169aFlZUV\n3njjDcOz8xxALSopCQ85psXRJYDDkF9ltVIYt2obONKOr9QYQShPT3DORu9bCImxKZRyKWzbjoWF\nf2O9BKWiEHYCI0LI7JHPBgffwLYa4imoYsnbvuX7N/dtwGSFiKK+/c3ij9HExBJXzq7AjUuboEqP\nR/zaqSUMLaTMkarYvP07mtuh36Xj4RDuet1h2f09vj7n3kmkHlqiziqk/uOUx3DzqlviGEgRpd+n\nnVB9UFBdH8HYBGYeZK4wYqOKvnG8YCqhiBwCG0sKg8Bh5VCh8Pbi5yVdao9jW0chJvwy6jYepHNs\nRB5rN+iHGxc3I+vKbh4pq93cC/g1QdV9Nep3R9vu72PpDz30ZjKaeVaHXftxSD++GpkX/uHfN3b0\n5ughSEzjbXQAAQAASURBVExw69BvGPPeH5g8YyNystMQm5CMgKpusLRWm1myZLoEqXitX2mmFn2q\nokAUUzIjsOahuhbSKh+YYWRaqoHl6yXrcOLCFeTnq01SXVs2xex3J8HPWFGqqkhEsTjuXryAHku3\nwt1CgZV9i0bJ887GoPeiFdjz/iRUddJ1VJOqGJWcWj6Ryy9AqjS3wmSxuAO6MmrfszDBvOpk7FUP\nCjfAgOdKFpOSklC9enWcPXsWu3bt4v1FIoujR4+GsVbVlAFPD9oDu3Z+Ha6cW4WcrES+zsTUCnUa\nDUGLju9DIjF5JdVKQXk6tu9bRAo7avRic/CCy+AvNTtqIlMrJgsFlg4QGaWrY2S08vHKa5epaCB3\njBbxNLOwQ4+Bc3Hj0kZEVGJ/kx6fRGKGbeteQ3zMLeSTI5mhDoqOCjuPtJTHbGo5uP1TVh8trZyx\ndc1ExEZeUy8H0u34NYZjtyISaeZTByZuQUg9oA6W3rR8FAJqdtY5Frpvuu7R/aOQPjzPhK84AUw/\nvZ4/N2dDB0WqFLB6Gb/2Qx0Fr7ippCgGiB6PEWxaDK5UeLvw3EuTaTz9Og5u+wJefk1Qu+EAJkX0\nGn509ygTxZad3kWjVuM4e9HCSr3TGBmXCjMLR9QIckNS/KMSmYz0+xT9o8xIgMiE2FwB3Eb/xBWR\nAuQJYZyRmJWeBEsreyjEjqhXt6S5SFAVBRSv9dNGWaqigN9v/YpclXqdoEe8BA7uJVVKIi/01J97\nGAebduNZYZfHheDAxZs4MfJtnP3jO9TUisvRVhX53GupihSVM+fgOSaKwXpGyS1WSPHt3qNYPm5I\niagccj2XS+RERnAwr9wbUe1cxYqqfRnyvGdignmZZCxPpcTh6AhcS4qHyMgIzVw90N6jCiTFdq/p\nGGhH09DgYsD/HVkMDQ3FzJkzcezYMSaJBjw/nD0yn4lig+ZjUbN+P271eHTvMC6d+hNpyeHoM3zx\nMzGGPA8Q0ek5eB7++LE17NqNQfbNw7Co1kpDFMndm7T7J/6cAq7Tj61QK49P0S5TdiD3R/h7zQTk\nZiVrRt2+QW1Rv8kIuHrWrtDt37i4gUfCpFZ26Pk51/ft3vQ+ZLIsoECFXRvfgcRYnXUXVKsHDmz7\nGL4BbdCx1xfcnxwVcQGy0Euc22hVp6hlxaJaS6Qe+g1iK0fYtRmlV1Ul8hj+8BRUChmiFo3k8bWp\nqz+MnXyQdf0A8rNTYOpdi0O9M7b/A4m9J5RpMTwq15hKCsPHtU0l2sHoRMSeJLydav0I9ZuPREpS\nGPZs/ADBR3/j6JzkhIdIjL2H2o0GomWnd9jURHuMAmwd7eHnrd4rI1MMEXdhfJ4XF4KUA79CkRim\nc38yamDRJotJ4TxytrZzRrq05P8PpCpqE8XiqiKhsqpidOpdbHigJuimclPc2atC9tiSBpYfziog\npuzRxgOQeuh3iM1tOPdRZWmP3IhraPf2TNz8awFcZLRPW7aqmC6VYe/dcFYU9WY2tpRg0q4HSM+V\ncuaidlQOxeOQ65nMLPqJnBKdqvo+sapYGbXvWZpgXgYZe5ieiilnDyNFJkV9J1deBdgRHsLHsqh1\nV3hZWZf4HTomQ0SOAf9mVJppUGQOEUaZTPZ8jsgARkZaDC6fXYkOPWeibbfpcHINgr1jFTRp/Rr6\njVqCsJATeBymbot4VSEoYrl3TjKRyb1/mp3HBBpLiy3onX8BoMzjaBUzrdaR4gSlPAhh0UQw9Stj\nA1mdtevyBtf2kfIYkxKOfds+hixX9w91abhxeROvAjRr/zb3JXv4NMD49/ehftPhrPjSYyvIV/LY\n+/bVv9G22yfoP/oP1Go4EOYW9vD2bQaRxIRHvpnX9rIiRvuOCevJEGIEE+cqHP1CZJdIL5FfAeaW\nDnB0Ktw/VCmgTH7MI23qtFZlxENs7cRknJREUhTzlQpWM839GvKvGLv4QWznDseeU3WIojoG6G8e\nfQuROPogOJXlsiw+18UR4GvJJLlz3y8wYdoeeFVtgpysZLh41MSYd7ei9/CfmShqIz5dVCIz0b9G\nWz6evNgQJGz6HGJzK7iNngevqZshtnVlgw/VI1IVo7Yxpm7TPqwqEjycyv9nrbKqoraphTD/+nzI\n89Xfn1LjdSTkWLCBZe0NOa7Hq/gjff0wRQWz2l2QevA3jjTyfGsVnHp/CNdhs2HXfgIyc6UY+dX8\nCqmKSdlSJibljZKTs3P0BnBTPE5cthjNV0h1jrP5cilfP61FC1QG+tpaBLXPzdQLE3fmocHSHEza\nmcdf0/W2JqZsgiEiWdru5MkYtQmmMiAi5mttq5eQ0W1FZGVU+jb1IUehwHtnDsHL0hp7eg7F0nY9\nsLxDT2zvPhhmEgneP3MIyvySrykDXgxkInPIxBbP7iLS/Vvyb8fhw4fx7bffvhhlkUhiw4YN0aVL\nF4wdOxb29up/oAmurq5o00ZdcWXA0+HBrT28A0hEozg8qzSCp08j3Lu+E74BrV/pUy3sCMoj70CZ\nEY/kHT/CxLsGpA8vwL7rm0g79AePUM18G8DE2feJ22UqFMhdUABzn3qsSlV21E0j7szCvcBzRxcg\n+NhiNuHYO1ThVQFXj9pIiL0NscQM4Q+OM1Fz9ywivzSeToy7i2ET12PTsuH8uJkoG4k4CodIj6Sw\nJUafqnp09yxkZyWiY5+vcWz31yWOT5WZxMHXlCuoSIlEgTyHz2n2LapbNGIlF/nKEmNpImbKtDh0\nGPwLLp1Zrjd2KC8xDKlH/uTjJaONtgEpp0B3bJ+aHIGzR37FwzuHNfE2Cnkum1yKG18IgqqoAb13\nyIhHwpaZHMNj13YcFKnRrDCqslO4qcbEPRBpx5bz/mbOpR0Qy7IwYNycCquKxU0tla31u59wETvD\ntquP39oX7zaZhCE7+3Gt38RdpzmEmwws7RvXx+2Eq+y0J4OOfYdJOikStC+bjlU4d+s+rkfEoEE9\n51JVRYKbrz+bWcobJTtRDE9CyVo/Xwd7bJswCnOPncbEnY/UY1uRESuKP3drgSp2RYovGV1of5HG\n0sXVxvJq/cpS+4i0vajIm+cRDr4/MhRZcjnmtugIOy2nNamJc5t3wIADW3EqLhIdPUu+1g0w4GUj\nISEB9+6VXQf6TMfQwp39/PPPOt9r2bKlgSw+I+Rmp3D+oFisfw/U3qkqMtLUcS6vMnQiYNLjkRty\nli+EnBuHmB1QxZ6D1h4foazKuSetNSQHMNXZVXbULexC8qhWYsKdyHQ/EWc34dHdQ2jUcgJqNRjA\njm4zc2vY2KkzCvf+8yEmTDnAzyGtEVw7vxZpyWFw964HI4gQE3mZw8uJMEpDzumMpgVVNT01EuEh\nJxByZz+/Hk4fnMfft246kAOuyehBMTiqjCRYNewFU7cAyCJvwHX4HCZbsaumACIRJNZOcOr3MTLP\nbdYEo9P5MJKYcq6kq0ctvZE40ohrSD+9DhJbN9h2fqOEQ7rjwA2oX7+mhiiuXtQfBRa2OvE2ERe3\nY83iARj33nYNYSyuKhKkOekIvX8Ktq1HIePUOqjypIhf96Emk9GydkcOdueWGBQg7cBi1GvWl4mi\ni7s/0qW6qmJxU0txPKmq+NPVefSq5c9n1HsPluaW8PO1xOr53yE7T4mklFQ4SxRsIPJu0xt5sfdh\nXa9HibgxWew9vs7WwgznHiehQb3SVUU+NksL9G5QE/POPdA7Sp53TonutatBFKo7ti9OGH8f3BeP\nL1xFjrNrCTL4OD0DvwQH42hYhIZgdfbzZdVRm0xWBPpGry8q8uZ5hYNfSIxFczdPHaIowMvKBrUd\nnHEhIdZAFg14KThz5gx+/fXXUr//+PFj+PtXPnj/ichiixYtcP/+/Se6MwMqDhs7D9y9sYtVmeLu\nZ1r6JxXLxV39R/pVh7ZzNiUpFGH3j+LKuTUwMjbldpS0U+uQtHW2pgqQ/oiSEUOcJ9VbOfckgdyZ\nF7bqOIArsotXfBfS3D0Q0tBLKFDl87hY9vgmVFnJSEuNwqUzKyASG8PNqz7fno2tFHHRNxH+4AQC\nanaBs1t11GsyAge2zSi8VTXZEPYJLWu211FWhbHvro3vIo92Ijmz0J5DzIm05t47BbtWI/jx2DYd\nhNRjy5F9bR9kdu7qx29qiTTaA1VINXuhpi5+HIxOilx+TjoTZ6r3o0Bvem5Ki8ShXmw3PfWIRCpv\nBi9A/fp/Ii76FrYsnwCliQU8CmsetX+W8g9P7PsRA8cuKVVVzKZ90nwVzLxrIQMF3DhD54SOkx4n\nje25XrEQvkFNtIii/tHzs1YVL0UdxfGYY/x5fYfa6OXdhT83ykzij/a2NnxBejyP0Pt0aotdx84g\nv/B5IJDKm3FsOXIfXeRXQXqOFOsOn0H3xnXho1Q/18VBtX6ELwf2QNfvw9BieS6ma+0EElGMy5Fg\nWa9OQFxcCVWxOGyMjeGiNRUSiOLIrVtLhnafjcLIrbHYMGgQLG49LlNVLA/FTTAWxsDGW0r8cUWO\ne0n5yJIXwMvK9qlHuc8tHLygoMzdLTK7aDVxGmDAC0VERAQuXbpUqmj3NCZk0ZPU/dEoWt9FoVA8\n8YEYoIvqdftApZTh8pkVJU7NwzsHkRR/H7Ua6kaUvOogMubp0xBtuk5nAlUgy+XIGIeub/LOIhEn\nUskoI5BCpRV52UxcSNmrCEgZo/gbIjG0CyjsBMZRrmFmMuzajSvxO+WNurV3IR26vsPkiSr9cu6e\nUPdGu/oz+b13YyfyVQrUazIc1er0RFz0DSb8SQlqVYhARho1SdT6c2IkYmNLbvhVKDMTmcjlxT9C\nxrm/YWxsBhs7T3TsNZN/lJpK6DmvUa8vk9T41VP58XFrDqlW+flQZiTCrEp9xK2eCkVqjOYxC+N5\nWdRtpB74FQlbvkD82g84X1F7L1Qg9pM/Po1hr21i24tN89Id0rHhR7F+yQisXtCXXc60P0mRODz2\n1vpZCsoOuX0Y0twMVhVLjJ+1DC6KtDhunaEAdFoZEAi+QKBtWg5nwhyTGI0fp7dFYlwof78sVVFf\nVE5ZqqK+AO6CvEzMvfqj5uvP6k/lmlMBxmaFN1BIFAlzxvWHsdgI2Vd2I+vmIeQ+vICk1e/BO/0y\nVvc3wy9d1cpbbkYs2n8wG6GJqXpVRQF+rk449Ok7qGLviYm7CncCd+XB1y2AY3Mc4+JQHqgDWl+t\n3/zgYHVo92vmGFvPhMkVfaSv6fof9hzAswCNgcns0mxZDlqvzMG4HVLkKQtgLKZnVYS0PBnGHN2F\n6Gz9xLk8COHgz3ovktDI2R3BCbHI0vO78bnZuJWShEbORR3fBhjwokGC3urVq/VenibesNJkkVzQ\n5ubmei89evR44gMxQBcWVo5skLhw6g923D66dxQRD0/jyK4vsX/rx6xSeXg/v2qf5w2B2MUuewsp\nu36CkaklIDaGyMKOHb4E8xptEJkYwuPOihBGQRnzcQlC6r5FTDxJNTNVKiGxtIfYUldJ0W5dKU1V\n1N6FlNjQKHcGN5Ek7/6JXbry2Psa8teiw7tseqka1A4ePo2QmR7LSiqpwznZyTix/3smQ0G1uqPf\nqD/Qa8h8mJhRT7UlE734vz5G9KKRiF8zFcq0aP695u3eQtWg9jzKzs5MhLWNK7r0mw1LaxdYGImR\nsnchMi9tB5QK9ZhTJWdnNdX+UR+3Vf0eamNKYjgyL25HwoYZUGYlwbpBT1hUbw1pmDpcPzM9RvOY\nhexE0kjItFOeQzo2JRyOvaaycYjG6hQPQ0Hf2oRR/bNKJpSlgQwuNer3QPalHbCs3RlZ1/ZDnhSh\nkw9p7tcYuffPwDywGVzHzYfKzBpbVn6h9/ZKi8qpiKqoDVIVM9LTsf7yOlxNUp+v9u6t0KlKWx1V\nkUHEXQv+Xm7YMX8WRCjg12LSttnwt1bg4msWqGIrwvdn5BhUQ4Krb1jAzVyOWTuOl6oqCnBNS8SK\nyeNwZ9aHOPPJW7g960OOyxHyFctSFYko6gPtKB4Ji8DHrSSlECwJzmSkQlml9MzTihpJBBNMgcoe\nwdH5UBUA1+IKUMvOB5u6DMC27oNga2KGby6fwZOgMuHglUWvKv4wFYvx+YWTOo8zWZaLz86fgJuF\nJTp6PpuuewMMqCyIh9nZFa1aFYeHhwfq1dPad3meY+hWrVrh4UPaGSoaid69exeffPIJfvyx6F23\nAU+Pek1HcLfu5bMrsGfz+3ydvZMfOvSayVmL/2YQses/4ndsWTmav1amRHEOo/u4+axEZZz/G+kn\n18Jt/EKk7vmlwnmL+oLCye1cagWgniDusnYhLau1hMkbfyLj3GbkPjjD3dCEXkMXILCmeiRJrt/a\nDQciNvIKq5K/3aXdTDWsbT0QcucQQu4c4Nv18W8OuVyGuNQoqOS5TLaInJHpRxp+Bfu3z2ACXKvB\nQNy68g9XJDZr9xYCa3RBbPR13oW8d3MXOvX+Ekd2fcWubHleNiuzcaveg02T/mygyTi7kRVIu/YT\nYdtsoIaASUPOw0xiiiM7v8TAMctw9vhihN0/ph5B03tJI/3VjUVKnxFcR3yvqe4Txs5EFmm/kMbe\nws9S+Ha2yhk19KiKAroOmInQH3pC9ug8xBa2rH5Sr7QyNZpVV8qIpJpFh85vahTLu/sXw9aUHNrl\nB3BnZaYhKSketvYucCh0T5elKkZGhOHXn7/BoUP7kP9mAVBoWB7nMkznPjSqIpG7QlURyWoC3qlp\nA+xZPAfDps9m93M+CtBseS7uJefD09oIEhGw+roC7zQR4739IUjLzoW9lUUJVbE4KB5HiMgh6HNA\n64M+VZHMLOUTLDURK76H+CRGEuH6zp6+eLN2wxKRN+/Vacyu47DMdPjZlP7HTx+e516ktYkpFrbq\ngqlnD6PH3s1o5uLBj5n2FB3NzLC4TTcY62lYMsCAF4FBgwbxpTR07NiRLy+ELBJzDQgI0LkuMDCQ\nXTYbN25Eo0aNnuhADNAP/+od+UJ7a/m0z2VuW2JR/mnxrPqiK4vYyKswNrHE0EnrsH7JQN6rE8ad\nNk0HIuvqPuTePVHpvMXiQeH0sbRqwvIqBfXtQhrbucGp5xQo24xGzB+TYGJsxueO3jhR2w71XZ/Y\n9x1q1O2L1l0+4BBvUoVvXdkCmcQYjr3UhJBIGNUiUtQNjV2JCNEuJIEcvxRGnW9qxcfdocdniI+9\ng8TY21j2Uzsew0pzU5GaFIau/b7lTE5CQM1uuHttKxz7fMRGENpbtKzdCcqslELl1obH8wJZFkkz\n0WPIfA4P37B8OEQ2LjqB5uSCLq0Jhq6n/mXtjmcC/Ry3wuxfxASPzjWZlXyCusLUvOw//CqzAAx9\n9wCuH/sWty6r216o95oHlJa2sKrTBTaN+0FcaFQSFMvM9ERNW4s+VVGREYrZsz/BhRM7+f8jIvSt\nO/XDxPdnw9MnQG8ANxHFsYO7wt1MignjxFjhrFYgbR8a4aMFM1F7Zw34O1iUqioSxJbq12B7Hwcc\n/HYqWkz7HtUcRQiOJjIO+NoZITMP+PiwjEkjTceTMrOYLOpTFXPu34XEvfTX65OoigQyujwJwXoa\nI0lYRjqG+tfgyJviaOqqHsWHZaZVmiw+7yrA2o7O2NFjMPY+foRryQkwghFmNGyB7t5+HJ9jgAH/\nRTyzV7aTkxP27duHfyteFmGqKEzNSga9Pi2EajxBSXqaTuYnQVpKONw8a0MkkpQYdxLBMPWqybEp\nZP4oz4TypNWEFYE+l7BAtkxMzGFr54m/V43l2yPCoVLKUatBf7TvOZNbdojsX7+4UX0c7cfBIqCp\nRoWjqJuYJRNh6uABkamaIBDBMnH04agYi5rt8OjSjsJuavWeXW5OCpMnqn70C2qPM0d+4QzJVp2m\nok7jobh3fQeQr4JDp9fZIJKyf6E6lqcgn0eh9LE4WTYxtYBSJGGnt04ns0tVVvfoQruLRY99G5Nc\n7SaYElFF+SpkX9/P8T1iWTYad5yhd1dR2w2dlpiCoEB31Ku7Frk5aUiOD8Wir7qw4ioQaW0Igdw2\ndi6lqooJMY/wzTstoDS1hr2WS/vipe24Orot1m49BbsqasKorSounPcNE8XjE0zQ0CSHr5cUAKd8\nLDDKVIrZP8zD6rlflakqaqNqYCBERsCdpHw4mItwZoI5qjmpiVm6rABd1ubgclw+1wPqUxWJKJYG\nUhXLM7Voq4rFo3HoQq5nMrPoJVhn9BOspzGSmEskSJbpOs0FUOA1wULyZAv5z7sK0MrYBMMCavLF\nAAP+H1BpspiRkYFbt3TfoVLl36xZszBgwAD82/CyCdPLQmnVeE/ayfwkMDWzQVbGFXb56ou9oexA\niZ1rpfIWK1tNWBHocwkLZKvJgEkwNrVEdmY8q3xiiQm3tljbFi25E0GNDr/ArSsZ5zZyxZ9AyAoU\ntPdUgLyY+6ymJm3/Th04XRhennV5F39u3XIYzCgWJyEMWef/4WBu2om8e2MnPx5jY3M0bv0aq87a\nSijHzZzdyHuWph7VYGQkgbu9D7frCOeByDP1WdMOY3EjCzmo7dqM4ZEy9WcTqadxsn/19niUEoX8\nUrqqhVYY+j0rWzd0G78LNg76s+dSEsNwcNts3L9xQJPNWLtRb/Qa/hV8/BujTuM+CLmo3+VOgdwN\nWvbVqypmZ6YhPjER21Z8zETReVTJZp+k9dOxeN5MfLdgrc4xZWak49jh/VjZ1wRrTBSINlLvpU6G\nMeqaiDG9hRiTdh9B+ufT4ExksQxVMT9evW9rb22FhtX8cfl+KE6MKyKKBFIVc5VGMJFIsDX4KqY3\nCiihKvLP6VEVKzJ+FlTFsqJx6EKuZwrpph1FDcE6o0BslhhzGjfWayQhRbE0I8mknWojiT4Vr4t3\nVW4+GRFYE2Zi3T9Fmx/dg52J6RObRQy9zAYY8JLJ4o0bNzBwoG5QNC1UUkj39OnT8W/Cq0CYXhbK\nrsarXCfzkyKodg+uM4yLul5i1JsX+wB5MXdh3aQ/Ms9sqHDe4rMEjSsfPzqLCKrZy1eiamBbtO/+\nKeTyHDafXDy9DJuWjyzxJkObKGqbZOzaj+cmj9iV78K6XjdIbF0gDb/GP0OfZ13bB4mVg2ZvURZz\nH+nHV/KYNevcZmi8oSIJIJaw6YWaZJITQmCqtZ5QXAmVWDvyiDv3/lmYmFuj46jPdc7l/Zt7+CMp\nuPrA4dEnVqHj4E0wNrVC9WreXNm3be1bnKGoN6ro/FbeLTSRGGPUW5sgl/jqVRWJKC79oSfyLWx0\nshmJHD76qjOmzDqCVv2+wcMfOnD8Du0oCuomEUVJXhaGvfadjqoYF/0I63//GJdO7+KAbLrW1D2A\nz4H2cdLnlk0G4OSBxcjMSIOnm4NGVZRmp/DvVnUTYSrU/c+WBcAXMC3a4VPlIy1HJqwxlqkqimwc\n8Cg6HrcfqQ07b++T4ZNWJhpCRkaXBKkJ+jStiROXb2BGj/YVVhUJFVEVE+ydyo3GoQu5oifuVJNJ\niRHQ2tYBczp0KDFOroyRRB9ZHBVYGwcjw/D+6cOYWrcJajo4sRN608O7WPPgFj6q1wymxUhkZWDo\nZTbAgGeHSv+f2LZtWyQnl+5o/DfhVSBMLwNCHAwR5NIiUSq7I/gkoCDowFrdsX/rdDRsMQ6R4Re4\nYcTEszqkD85C4uiNjNPrIZJmlGlCeR7IyUrCzg1vc+sKHafE2AJ3r23n80EVjEf2zqrwmwzBJENm\nGDLwkCs589IOVuUow1Bs4wRlViqMbV3Ywaz9WrSq1QGxK97h9hUTj2pq9zLt1onEkEnTEXL7AHKy\nk2Bh6cg7k0QYdYLQ9y7UjK9JfbQwt+cmGFsHHx6XP7i9D8HHF7MKmJ+nHrUWh6DsWtn5oGb1oqpA\namWhsO3iJI5bYdLjUDWwFboO+AZySUlzjIBD2+cwUXQZXfL/QbrdvZtmoc/r6/HpT6exfc1M3Ni/\nqFB9lKBhq75MFF09i3aoC3JCMfP1pvAyz2VVUCBE35+NQNi6aXAaM1+n7pCOOV+lRFpqkoYsEhwd\nnSEWiTDXKA9phaLZBzCBa2GABO/wiUVwdnSokKpI+OLPv2Btkg9nCyPUdBZh4k4iW2pV0crYCI2r\n+8LWwhxRWh3pT6Iqpkul2H7rHsJSUmFnZo52IhH8ra10onFKjoyl/P0FPbrzRRhTF1wPh2uNmmUY\nSfDERhJqPVnSrju+vHgKY4/tZnUxT6WEpbEJptVtimEBNfT+XolzUE4vtKGX2YD/R9y/f59DuLt1\n66bz+Qsji1euXMGGDRtKtLeUdv2rileFML0MVKQa72l3BCuK7gO+x+lDP3EPtkqZB0gzuK5OUKgC\nanR+4SsBRLoorohcxaPf2s693AKBPLTjc+zf9jHEtm5wq+CbjCKTzDb+GYfOk/kiPMa4le8BChmb\nQvS9Fu3ajOLWFTKmmLoGwKnvdCT+/RUUyVHoP+ZPXDz1B5tqrp5bjUatJujsaFJOJ+00klvbztEH\nx/Z8g39Wj+cVACKLZMih9hlpbjqiSgk0p91Mj6qdYGKm+1qgNpYBo3/HqYM/I1YzohbDN7AVmg+Z\nB2tbF14xkMv11PoV7ijeu76fFUV9j5sI6O39i9F5ZBq8/fwxecZG5GSnISs9CQWmrvD3ddT8vKAq\nbljyCRPF8xNNSxCiJitkiD65Co79Py+x8+jt6aJRFTmA28wObXu1xV6HE3y9Y4ERPipUFWmHj5RA\nsViE1PR02Nua6KiKAlHUPBYbB6RlZWPn6Uv4uKUx/+62Vqb4s7c5EnPy4WIpwu4QBSbuvA87CzNM\n6NDyiVXFnbfu4ZM9h7gWsKarC2Izs7A4IxO9AgNxODQcq/qb6YyMbyeq8OtFOdJlKtxJCseck2cw\noUFdeNrYQH7pAVCKYUNwQBOt/f60/ImNJNXsHLGpS3/cTEnk2B3aBWzp5gnzCuwqPo86PwMM+K/g\n8uXLOHDgABNE7c9fGFlMS0vjUXRxkNpIETr/FrxKhOlFoyLVeM9qR7A80I5f+56foXn7txETeZWJ\nmoNTVY5keVlmo5jHlxEfcxMjXt+sIYpCv3OnPl9j5YIuMHOpUqk3GXUbDcWj9ZM5IJxc3zoqXGYi\n7y2W3Wudz3E4jl3f5vGuTbNBSNm7APkqOboP+AHhISdx+vDPXAFJai0Rt1uXN3PUDqmGe7dM1YzK\new9byLmPNMambnGKZxJWMkqLF6rbfSoCfC01xxT+8Az2bPoI2RlFqpqFlRNad52CiIdnsWnZaLUC\nSPFA1brBdtSXcCz2WhMaW8r+f1AJG5M0SklUPwdW9lCIHXUCuAVYidNx8dROVhT17dB92lKMCbsu\nwE6WzUHfRIRzLm1H2069YGtrX6LWz7K3NQoKM667x4gRJs5Xj4zPqRCWYw4jK1t8+d08rP9Rv8mH\nVEUiioTEtEyo8gswtKYEh8OUGLNdit0jLDR7i1XtRKwy5sqVGN+22ROpipejYjBt536MbVIfH7Zv\nBWtTU6RcuYmj8Qn44sYd1pe1R8abbiv4OPzsRejmL8HK6wocePQI2+/fx5LePUHPir62Fm0H9A+d\nTJj8NlueozNWr4yRhNTwek6ufHnZdX4GGGDAU5JFisY5fvw4bt++zZ9v2rRJ8z2VSoUtW7bAz6/0\ncdOrhleJML1olFeNV15Q9XM5Jgs7dg2/Cngceg72jlULG1d0oST1kz5mEMGr+JuMm1e2wNjWDRJH\nL51uZnP/JvQ/EJSZ8aW+FqmfWQApihSyTS5qIpgblg5DQM3O7IqmiJ7IsGDcvLyZf9aosB3Gtu0Y\nmLr6aUblUbsvlhiVl2XiCWw4FVZ2VXSI4qZl4yGxd4Njr2maMTwZaQ7t+BomDl46+4fxF7fzXuLk\nGft0CKPQ2FL2/4MSWNsVRfPoq/UjVZFMLTGPE3nPsKwdOmqgyou8hXwKSr+0HcZ5mfj4s29K1PqF\nJ9/A/vjCdIcsCdavVmK9UgmRSASLwGZw6j8BeTH3sPfAImTKC2Bvrqsqpjy6i6T0LLh6m7CxxVGa\nxmrfzcR87BhmgW5/5SJocTbaVhHD2tQIh0PVsTzL3xgBTwfbJ1IVl567hIZe7viqawfN/irVz/Vp\n2QpRElMsvngJ56OVrLRGZuRj7HYp3m5sgvndTfHXTQXW3lRix/Ch+ObkKby/ay+21GgM3aJR/Q7o\nATVM8OlRmWasTo7vDp5VmCg+L8L23Or8DDDgKbB3716sWLEC2dnZ6NSpE6ZNmwYTE5Nyf48MwocP\nH8aff/6JmjVranjV8uXLcfDgQUilUg7T/uCDD+Diop6CvLJkMTw8HHPmzEFOTg6SkpL4c+2+wWrV\nqmHGDKH39tXHq0iYXiTKioMpL6j6VQLVHoY9OA6lIo93C6tWU7edPA1IlaMcPn1Qv3mg/T616aEi\nbzK0Vx4o/kW7m5kULqrsIwJJcTTFX4t5iWFIP70ORuY2bNRwGTYbiqQINpDASAybVsMQef8clGkx\ncHGvgWET1/NO4tE9sxCT+hhuY3+q8D5uafFCMcnQURVJUSSi6D52vs5t54YEQyGSwLWUbmjaTxwx\neaVOY4tfrZ6ILsPpXK9ZH1YTtaFPVSRQ0DbtGZa1Q0fnMGn7tzx6JkXx7Q9mwcfXv4Sq+PO1n6Di\nYHLANm84rN/prfOcEQrkMv4HPSk1DfaKTL7uUVQsZi5egV0ng1lJJILYr00TzOrXDn1bNMC84JtM\naK5NtsTOB0rsCVEih8mmCPW9vdGzQa0nUhVJkT8ZGoGvuhURRe1cxeF1ajFZ/O60AqPqmuDPK3I4\nWhhhXldT5CqAuWeV6FTVF6YSMWo6O+FIWDjejryP7lCgn28gHMzMS3VABziI8PcQC6RJC/DnlTx8\nflSOzxu2KnX8XN6OYXl4Whe2AQY8D+zatQvDhg3DDz/8AE9PT3zxxRe4d+8e1+yVBRLhNm/ezD+b\nman+d4Tw1VdfYdWqVVx24ujoiF9++YUDtW/evMlvWl9Zsti8eXNWFelAt27dykz4347/CmF6EpSl\nJP0bYoMo6uXAthkIe3AMVjZunEN56cxydiKTWYa6mam5xcbeC3UaDtarEpYGzyqNcfnMcqQkPuIs\nQ23Q3iIxDlVuBhOairzJKL7yQGRDIBzaY2Zkp5V4LaYeXgqJrRscu73LndQFshwmnESu4tZ+AGXS\nYzgP+Qoxf0xkwmwkEsHYxJxd3E+6j6sdL0REURtpKVE8eiZFUfu2iQBLH11kJ3dp+4f39i/mPUUi\niYTETBFa9vwC//zWXa/TWSzLwoBxcyqkKhKsbOzRsHU/zA3ei4E1Ckru0AXno0W7npj22Q9wcHSB\nhaWlJldRW1W8GXsG+x8XqooJgDjSEeLaus8ZgY5TLBbD2cEeUGQiPDUH7SZMgZuZDCv7Fo1G5527\nig5XbmHtp29j7A/30WKFFNNbqqNpOlYVY945JRT5xvh2tG4rU0VURVJS5588h83XbkGuUmH2oeO4\nn5iMN1s2YVVQyFU0EavJc6pMxGYWsSgfjdzFPIomohiXLcY7Tauj5/qNyJblwdbEFPL8fHYlr75/\nEz+37ITGLu5lOqDtzY3QLcAYM47Kn1nTiz48rQvbAAOeB+bMmYP33nsPU6ZM4a99fHyYNxFXqlJK\nTWZWVhYmT57MCmK7dlS2oKtS0m2NHq1uOQsKCuJClIiIiJcyxa30zmLdunX58l/Av50wPS2eJqj6\nZYOMJtQAQx3LtHdHagqROwrHPnngB7h51Yejsz/iIq/h9pW/0ajlBLTu8mGp7Tfa58DXvxUcnP2Z\njPYb+Rvv9BGS4h9g47JhXAVdoFIgft2HvDuoHVRtlFvSua1v5UFbXRTUyEFjlzPhDS00iwiwbTEZ\nZj61YebbAMl7foJjrw9gVqUebJsPZkVSmZkEIxMLJCc+1DwOei1TyDfdT3GSU9l9XG1VMTUxVH0b\nxfYM6bEQ4S1v/5D2FAWySKhXtxo8Zx1h1/NtLadzUP3eGPnGt3Bx9y9VVSwewE0Y8saP+O6d42i+\nMhcftxAV7dAF5yNaao4hvQZh3bJfkJ6WDO8q/hg5ZgK8vT01v1+Ql4l5V+dqvm6cWh+3L+2EZVDr\nEm8Mci9tQ++ObTSq4he/roCbWR6CJ5Z0G7dYKcWyfcdx4pcvMPP31Zi4K4SVR4nICD1rVsXKMS3h\n5+qk81jSZXlIt3SAU65Ub61fhkyGzktWIyk7B5YmxqwKypQqrL9yA9uv38L6IYMgbBweehQGY5EI\ny/r0werr13EwNBw3E/JxMFTFiuL3nZvijd174GVkjNnVa+P9qBC0cvPC5FoN8OWl0/jw3FHs7DH4\niav0nuWOYUWOgc6+VKmo0O0ZYEB5kEp1Jw8SiYQnqgLy8vJw9epVnYlr06ZNYWVlhfPnz5dKFmlM\nPWrUKL2cisbOdJtCysWlS5d4BO3urm43etGQPOmJ++OPP/gkJCYm8oMhUNXfv8UN/V8gTM8KTxJU\n/TKRmhSKR/cOo8/wxaga2EZzPe3q0U4a9SP7BrRi0wx3l1/fgcM7v2CzSo16fSsUyt6+x2c4upvM\nLF1Rxb8VJMZmCL1/FPkFKm4tMXby4cBpzf6hkREsrV0xRE82p/bKAzWiZJ7dVBS8bSRiw4q3Xwse\noxPRjAw7D5WpOSxrd+CfFQiYc79PkLTzRyRungmxjQuriGx8yUmDY/f3kbzzeyTE3Mb1ixv455O2\nfcu3bxHUAnbtxnFkDCuA4VfU15ezj1tcVSQ4uKjJW/E9QyK9dJvl7QDTnqKgKgpwcvPHuKnqxpbs\njGQoJK4I8tOtENSnKhav9aO2lto1A/HTmktYvfgTTNy1g5U3iViMZm17QpyVga8/noRadZvA3dMH\nxw5uw4ZVizDtk6/wzrvv8W2ciTuNc/Fn+fPmLo3wU8tZ6HVwDJLWfwTLJgM1bwyIKJrmpWPONLWr\nPVMlws4Twawo6huNTm8hwaTd17FgQDusfWMQMkxsudbP2cYa5glROgHcYQnJ+GL1Zhx8FK1W4ERG\n6FG7Gj7v1QlVnRw0quKgZX8xUfysU1u83qIxjoSE4vUtO+Hv6IDQ5BR8dPAwdo4YhrtJyfg5OBi9\ngwJR390NC9y7Y9OtO5hz6jS2DBmMGs5O2P0gBEk5ufi1eiMkuDgj/O4lfN6oFbuSZzVpgx57NmNX\nxEOMrVbniar0nuWOoVDn98MZ/W0z887JYWMKrH5ws0K3ma2Q45/Q+1zfR2qkm4Ul+vkGoX/VII0i\n+zyhzM/nxhpTsRh2T9BXbUAR8mAOI+hONp4GeZooLUed62lE/PXXX+sYf2klhZrstEFflxY1SI13\nRACXLFnC633F8dtvv2HIkCHw9fWFvb09UlNT2dFMlcv/GrLYt29fPjG0p0hj6Z49e7KM+uabb+Lf\nin8bYXoZeFUIdfjD0xzJUjWoSLan7uw717ajVacpSEuJQHjICSaL9I6MomHI+HHt/DodslhWKHvU\nPx9iyLhVSIi9w6HcCkUuh3Tbd34DFoHN+fed+3+qUQilkTeQfuRPNuroA5HADcuGcW2esZ2HJnib\n7o8c0fHRN/l4SOWGlT08xvzEKlvmuS0aAiYys4LrsNnIi3sIaegl7o4mo43buIWQhV1iMrZ360eA\npYOO8YRuP3b1FJi6B7G5QyC3R3Z/Xa6Crq0qEuwdvbmRJeO8bl80qZfmAU3L7JG2snHRURWreOju\nllpY2kMGp1L/USpLVSSiqPk5nwB8+P3f3OCCvETYO7jgj18+xc0rp/HnhqOo06Apj5/p37DVf/6C\nX374GjVrVEO71s0w7+qPmtv5tN5U1PAKwpGdWzBr9rfYt38RvwZo9EyKIhFFfwv1cSSmZrBSWOZo\nVJWP5KxcOHr7gbYwqf+5eK0fEcWu3/8Gd3O5jgI379wj9F4UgU3d2qKKjRUeJaXgVnwCGnt74o2W\nTfh3u1QLwEftW+GnE2fZ2PIwNQ1DtmzFnaQkNPHwwOdti95YDahRDX/dvIUPDx7G7I7tcSU2DjXM\nLBEqy8Hc88fR1MUD9RxdNJV7Ldw8cT05gcliZav0nseO4figuphw4nEJFzYRxfjsAnzexgSfHS3/\nNtPzZHjj5H4k5Oagt28A91TfTUvBwpuXcCQ6AovadCnRLvOsQGsDq+7fxNaw+0xSCQ2dXPFajfpo\n6lqUBWrAy0dKSooOSSNlURumpqZ6Fcjc3FzN97RB5PKtt97Ctm3bdBRKbcycORNRUVGYN28ebG1t\nsXbtWowbNw5nz56FtXX59b9eXl5o0KBBic+fFJX+vyA0NJR3Fyng8dSpUwgJCWE10dLSEo8ePXqq\ngzHg1cTLrETUR1ApG5CUPm0TChldlAopAmt2xbULf/HPaCOwRhfs2TIVSoWMf7cioeznTy5h1ZnI\nZmpyOCIenoaZt64BQdg/pDq9ska7dJ7cveoiNi0SbmN/1nt/Jw/NQ0TIKZ1dQ1IFM4sZX0zdA2Hs\n6IX4dR/x90USY96VtLByhsLETPN4FGmxkD68AGVqDJNDVVaKDkktq6mouKlFG72H/8Ru6Li102Db\nvCgGSJ4YAVVWEh8XZUbqxANlJCArP593FrNUZSua3q6SSquKBGdb9dcJsY8R+fghh2wHVK+HlORE\nHNy5Fh98Ng8NmrTm/m5+7sRiTHj9XVy7dA4r/vwd2V5JuJOqHvF28+qA1l7qCBt/Bwusnf8tsvOU\nSAoPgbODLZxcC0dBhQ5oF5WIFcAyx7MiIzhZl/QXa6uK32zbz0QxWI8CR7uOP1+5jT/GjsDJC1d4\n1Nq3dnWd2xplaYmmbVrgi7sheJCSwsf0W6/uaFelCpt/BJhKJFjRrzemHTiM0dt2wEwigUKpxCfh\n99DW3RvfNG2rs7JBxIZGv/z8WNnw2JjUwIk7IwubXoxYUdTngH4eO4bmxsZQ5gOe1kY64eb9q0uw\nfZgZK4wfH9G/OymAiOTsK2dZWdzctT/cLIrWNUYG1MTrJ/fzvuabtRrieaiJNNqnfEkKH2/p5oV0\nuQxbQx/g3dOH8H3z9ujkpb8e04AXD3Nz8zIVPVL+SEV88OABWrVqxdeREkiqIu0aFsexY8eYMAr7\njfTGlUD7i+PHj+ePCxcuxKFDh9C5c2f+XteuXfl+9uzZgxEjRpR7zO3bt+dL8c9fGFkkkli9enW2\ngxNBFORTms/TaNqA/xZeViVicYIKiODj3wKtOr7PpOvc0QVIjLvHDmAhJoagUMgQdv84PH111Q2l\nqlB6Kvy5yoayP23UEt1OZOj5Mu8vgnb2imV/0viYyFdxAkZuaFVOKnc/E9E0yklDjjQL9l0nMylU\nKKRI3PIVxJb2MHEP4A5qtzE/P5OmoqqBrTH89dXsik7ZK/yeEd+PY/d3kX19v048kImrH5Cv4q9p\nZxEWDiVURUJqTukjv4qoinFRofj9h3dwJfig5nu+/jXRtusgKOR56NJrCBNFwdQiOKB79umHGR+/\nj5hr6jB4kZEIM+q+r3MfxmYWsDcD7H299Nb62dtYo2/z+pgXfFuvuWZesBK96wWxqiiguKqYnpOL\nPdfulj7KbinBpF1xyJDKkJ+v3mNKyFSXQNK6xYnQCPx15ToSyStFSegAJjWoj45V9e+RulpZYf2g\n/riZkIi1x85gX2oiZjdtixr2TsjXapGhEWlwQgym11cr6pWt0nvSPceyINzm6LrG2DzYQhNuTiYb\nwtob8lJvUzDaHI+J5OxJ+o35Ny/qGG0C7Rww1L86toeFsNInecbu04NRYbiYGIuVHXqhlkPRykU7\ndx98e/UcfrgWjDbu3i9kDG7As8Hw4cN5dEwfLSws2L3s4eGBli3VIfvz58/Hw4cP8fvvvzNxozG0\nAIra6dGjB9555x0mh0RMiRiSiiiQRcq3JkMM3ebLQKX/D6CdMHpHTqhatSrbvUmipQYX6og24L8F\nbfWNXLhcQVe7E39N1/PY9DkR1Kikh7BtN5bNHPQvemToWWxcNpxNIPaOvjiy6ytW8giuHrVhambL\nxpf01Meo16TonRf9Ib13fSe7nDPTY3RMIBUJZdfeOyQFj8aq2qhI1FJF74/+lyRCKoD2DKkCkJRE\nImBxq9/nMG5FahTXBWacWgsflyC06Uq97AVIO7wUscvf5HE33Z5D17cgjw9lI06ppPj+UT4nFVEV\ntQnje1+cx5ufnkb3Qd/zfTt2fw/mvvV5PO/1/gZ4vPYHvN5bD8du7xWOvsWQwuW5qIpGshh8NKk1\nUpPjMGPuVuw8E48/NgXD26861v2hXjqXF3veBAd0viofaAhEZqur+YZU7Yu6rmoF2SgzSetgyq71\nmz1uAOKlJmixUsZk5Xq8ij+SuSUuW4JZ44eVqSomZeWUP8rOL0ByTi4aeXswodtw9SbScqWYumMf\nJmzchgy5Ag3d3ZBQ+CZ+4+07kCnVGY6lBmK7uWKksyesJMb44uIpDD64DV12b8Qn54/hUmIsPjp3\nlElXd5+Sb5KIINLotixFUNgxpDE1EWdtVLTppazbNBaDw80FoljWbQpGm3h5DL5op86/m9vFBPF5\nZLTZzd8XQKP4lDwpMuTC5tqzw87wh2jvUUWHKArPx+s16iMjLw+n46Ke+f0a8PwwZ84cFtDIBR0Y\nGMiredRqJ4ysaSpLa3vCDmTr1q01F3JNE8joQk5neh1QbA4RS39/fx4hE+kkQ0xx1/SLQqWVRXqQ\nDRuqZXk3NzcMGDCA3TlEIClU0oD/Dl5WJaJAUB36fIDETTNZHdMen8ad/wfISYeJPIcNKAHVO8HU\nnBSBAsRFXUPN+gPYCS1E7Jw6OA+PQ8m0IMLaX3vzR8+qtOdlVCml8GmiliqqTPoGtkVMsexPIoyO\nPaciLyEcJgo5+o/8DbYO3prxPEUEbVw+AhIHT3U7TOF5IvUxaducCriUi8bn+kwtZYF2GM3q9cTB\n7TN1Hpt2PJD00QUeg1er04l3Op+Hqrhl1Q8wNjbF7KUn4O2mfi3aOTjji3kb8N30YTh5ZBcO7NqE\nN95SK4ZKeQ4uXTiLlIQorFz9O8R9xMhHPkxFJviozjslVEUB+lRFAYHVq+Pkku8xc+GfmLjrjtrt\nLBahT/P6WNe1KfzdnHVURW2iSLCIjy5fgaNRtqUF/BztUdvNBfcSktB16Wqk58rwa5OGqFGjJqYc\nOMhjzr7VgnA8PAILgi9gRhv1aEwfrh25gHfDbsHDJh8ypREiMwvgaQOci3+Mo9GP4WpuiV/bdOPd\nxSdFZfccn9dtahttojPzMeukHM29JHizsWkJo02yLJdVR/NSKg+fBgnSHDQvZS/R1cISDmZmiM/V\n39VuwKsJW1tbXs2jUTQphXXq1NEJ5KZAbX1GFgLtIJ4+fRq1atXS8YZ0796dSaZMJmNxrqKCXHp6\nOh9PaekfT4JK/19ADFd7UZLY70cffcTzeiKPBvx38LwrEfXtI2oT1Mxzm5kokrJWcnz6EVwc/VDF\nrwUrYxnp0ahetzcbXe5e387k0NbOE0kJD6CQ53KTiXXjvpCFX4Us8hZiwi8wWUw98ic7lE21CJwq\nLxeZwX/Dx78VO6sFENHpMXAublzaiIhKRi1VNAS+dEK6DZK8HAx7baPmfoRzRkaVAkt7uOvZvaTx\ndX5eTqVIcXmqYnGYW9jCJ6gb4vSEirO55fzfEIlN0LRHUaxERVVFfQHcxVVFJxvg+L6/MHTipyjI\nz0dk+AM2tZhaWMPe0giT3vkUJw7vxNIF3yAoMADm5hb4+tN3ERUZAbFYAlUrJQprnzGh2kj4OajP\nb0ZUKNJyZHB2dIB9QW6ZqqKAAC83rJ86BukiCyRlZMLZ1gZWaXEQOZQfd2FnZooedaqxmUWv0/ic\nEl2rBcDWXD1a/XNoPwxdsxnRGWo17N1LVwG60B+aaoH4oXNHrLh2HUsvX8X7zZvCopRF+t9iw+Bk\nlY8jYy3gaWOEQ6EqHApVQqYswJ4QFQKsHVHV5ummRpXdc3wet1ncaFPNUYQ6LiIsuiDH5sHmOkYb\nS2NjbAm9j9bu3k9FkkuDo5k5wrPS9X4vVSZFWp4MTi/J9WrA06FatWp6ry8rG5HENlIYi4PIZo0a\n6lWryoAyGkmVXLRoEafUPAs88VsmyhWiEbRSqUTjxpV/V2jA/28lYlmGmfyCfL5OYuvKjSClhTxb\nNxvIO37d+n+L+s1G6Xy/ebu3cP/WXkhz0yCX5yJDkQvHftORsPFziM2sYd9lMsw8axQ5kdd+AJum\ngwCVArLIm+oxcL4Kj1OjsWphN1Sr3ROpKY8R/uC45nh9g9qifpMRHPZdUaJcEWWyotmfAtEmslOW\n+kt7jin7FpTqUtYen1dWVdRG444zsG9NfyT89RGsm+qaWwqykjD23b9g7eRXaVVRG6WpivkqFXKy\nM3Dm6Das+fVzdiyT+allx774YMYceFdRB6vXqd8Y7742lN8k0ITE2toGuciBcXtjKKAAZECNhECE\nRTzGN9/Pxb5DRzl6h4whfdo3x+yP3oO/j5VOrZ8AoQNaFaNeIbC3tuSLIrKk6U+fqigEcFM8Drme\ntYO7WS07pw7O/m1IkaPZw9YGG8cMQZtfVyDI2or+sqCqnR3eb9YEfg7q46EMxZ/PnUd4WjpqueiO\nPB+nZ2D2rv04l5lO0aGoujAbA2pI8H0nM3QPUBNSP3sZPjkciQ0hd9DSzRO+T0EaK7Pn+Dxus7jR\nhlSXOR1N0X+TFJP3yNgcQ0abw9HhOB0bhXtpyVjWvieeB/pUCcDc6+cxsXq9EkR89YNbTFBpf9EA\nA54EQ4cORXR0NDp06MCtMt999x2cnXX//68sjAqEkMRK4OjRoxg7diy7fcj5Q40uzZo1w5kzZ0rk\nDL1skJWdlk3f/fyKxgVrQMWxZ8s0RCaG6DiGBaJBpIf25SpjjtA2zDBhKhyZCoRp4Kil2LR8JGzb\njuYcQ/cJi/QT1YQw3t8b++4eODjpVz6JUC2d24b3HrOu7GbjBydqa2UPiizsELv0NeRLi3aVCGKJ\nKZq0fh2Z6dGc0ygytYRdp9c1HcvC8VbW4CPE4xDBK0+Z1CaEKpVSM3IubvwB8ss9T0amlpBYO+mY\nZIo/horsKupDfLpa/bM1jeVKv3vX9xeGa4sRVLszegyZBZWZmrCVRhYroipqt7UIZJEc0LGRj/D6\ngGoQmVvBolZHyONCIE+KABRySIwlmPz+TPw6byZ2HbmCbz6bgojwh2jYqDHCwkLxyO8+UOjbsL5g\nBbtbtsjJyoSHmQzTW4iLomuCVYiXmeL4xmUcl6OtKgpEUSCLRrZF/ygTWdRWFQVTizZZJGNL5I0b\ncK0ayOHb4cmp+HbvUey//UAT3E2K4scd28CX2mK0EJWWzmTxu/p1MKB1ax4/HwuP4PGzgnLfLMyx\n5sYt7BwxFEFaWXFEFEdu3Qo3SwU+aW2iFdGjjp45PMYC353Owz93lUwkKT5GplKiobMbvmjUqtJK\n4LMkiE8KOgbaxSRlcWy9ovEgtdhMOSBDYo7un8IGTi74snEbvQrl0z6WPJUSb508gMjsTIyvXpcD\n0CnG55+wB2x++bJxa/T1DcS/DfQaab19HUfGvMg8QOHv/J2H0TB7hvcrk0pRK9DrhT+eZwWK3nn/\n/fe5UpById99990SsT/PjSzSk0Ihkb/++iu7dagH8ciRI7zcSXN17QTzVwEGsvh0KEHuSiEaz5J8\nEh7H34MiLYaVRTLUFAf1KafuX4TJ00+XquxR3A3tKBJRonG2zj7fhW0cZm1VvzuPnIlEikQSNGw5\nHo1ajMe544tx+8o/8PBpgIS0SCgzE+Ey/FuYk9mmAmS5vEzKimRWllRgRdxuIrZxhk3LofxYZDH3\nkHboDzj2mlrqeSJjDLW+ZF3ZCXkcKV0FJUiqoCo+KVn08y56I0bxOOR6pgBu7Wq/slRFbbIomFqK\n7yoWJ4oEIotzpg/GhfNHOfMSKiUbosz9m/Dzm3lpB7nyUL1mbazbehTNarnh40+/wu+/LUSegwXy\nRscBIhWM5JaQLLOCIikB/o4SXH+jqIWFz6O8gI0rgdXqY9PP32iu1yaLgqookEVBVSxOFgWiSJmK\ns7bux95rd/WGb6fnShFx9Qbc/YM0o2cBEalp+PHoKRx6EMq/S2jr44XIzGw8Tk9HIw93WJmY4Exk\nJBPOZX17o5WPt+b3p+4/gOiMSJx/3aLE42y+PBtJhVP3oTUl+P2SAq3cPHE2Pobdw4QOnj54v04T\nWBubIEepgLOZhV7n7rOq+HtWINMOmVm0w8Efpeaj+bJsmJsYoZu/GM08JTAWF+Cnc0refRTaZZ71\nY8lVKrD41mUOA88tNCH529jhjZoN/rWxOQay+GqCnNdURWhmZsaRPILDujKoNMW8c+cOu30oWZxI\nogBa5ly2bFmlD8CA/59KxIoaZoa/thFRf73BzSZk0ihvfFoaeDxuJILEygFuY38psc8Xt/ZDZF7c\nzvEzObePsprYrO1kGJtYoGOvL5CcEIKYx5c54Drr2j7k3DysIYulGXwqmklZXgh8aZFFNNZVSTNh\n6lmDjS/0WGTh10odM2eSGYjiT/b8xM9b1WrtSx2fP42qqA0iiNrh26URRYI0Jw02JmnIyXaGpVWR\naqZvV7E4iChmZaYh+PgOWDXqi6xL22EkMYGJeyCbfSi2x8jMGgW56UhJTkJWehKnORw5vB9yExuI\nh1cBRNF8W/YYD+Nuvkj4azpG1hKV0sIixqTdV5CWmcVROcVVRYK2qkjQpyrqhG9bKPSGb+95fxIc\n4+LgZ2sNEz1EceCq9XC3UlfnZeYV4L39eTgXRY0vwJ99eqOhhxvW37yFExGPUdvFBe/vP4A9I0fA\n3doKGbI8HAmLKDUku281Y3x/Ro6tQ83xyZE8mIhFSFXFY1V/M1hIjDDkHynupEdhyMEoHtsSiDT2\n8Q3E5JoNeN/vWVf8PSvoM8W8sVsKZysRLr1uqXM+Btc00Zhe1L/3bB8LjZo/adAC79VpjOjsLJiJ\nxXwbz9KUYMD/N6RSKS5fvszZ2JT3SA0wXbp0wcCBA3mf0dOzqOr0mZNF6jrMzNQd2RFiYmIqdccG\n/P9VIlbUMENkjQjqsf3fITI0GHFrpqlVwUq4j4tQAJvmg/WSUw68Dt4MMf+BN4Kdow/fN4H+wfar\n1oHd1caO3jBx9YciObJMg09FMykrch7LCgwn0wqN6CmihmDfYSLiVk/Vc562QSTNwojXN/HjKu3+\nnmZXkaCtKlYUyfGh2LZ+Fh5e36MZWddr1hedhn0LJzf1yLq88TMhIzWRf1+R/JhJonnVxsi+eZBJ\nMhFH6tMmN3ZSYjxu37oGJydnXL54AbaDRyPD+C++DUm+B6xUXZDxeCt/3dFXUmYLC7W12OaqI5UE\nCKqiAH27igRBVeTwbQsFgifp6ZFeIeUx9C8Na3KtX3HMPXaaieJ5rd+NzizAj2fl7N6ddvAgiMNR\nkPYHLZpjXP266LRmHTbfvoOpLZohVZpbZkh2WJpaP/zkcB6iMgvg7yDSUeLqnMrD7cR8WBgDNWyc\n8WHdZriUFIf1Ibc5ZPqPtt055PtZVvw9K+gzxdCRre5vVma7jDJfVaHH8iQjaiKNQXaV2/s2wICy\nQPmMFPhN2YzUIEM52LQySNeR2Dd37lzUr1+f3dsVNdBUmixSfhD9If3xxx9Ru3Ztvo6CJqnFhUbT\nBvx38bSViJUxzND9DBy9lOv2zh5diKh9C1FQkF8pVZMzEgsKSiWnEht15l/2zSPses5Mi4ZSkQeJ\nsfofeaqn4+NKDGOiSKPs0o63Io0wx/d/C4mxRbmqY3kKLJtW9i/isSvF05DC6NT7Q47JoQxG3suk\nP4FGRvDxbwlTU6tyz9WzUhWLQ5+qSERx4VedkW9uA4ceRaT63sXteDCzDWb9RjFHARqimJudhpjM\nJNjau8DKRvc5MLdx4udAkRQBq7pdYddmFGxbj0SBQsZkMefuCeSFX4GLiyvCHj5Aj959sW71CuR6\nn6MlHL4NO8VYqDLTOEycEJkpDFv1RNeIRXBxsAVyU59YVaxY+PYDfFUrACZSGecqUlwOjaIpkPvg\n/UclVEELYyNUsQU6VpVg9XUFk8SBNavDoXDPqou/H85Hq+N+HMwtIDZCqRE9sVnq85KWawy5Kg+f\ntCpyZtNIOzQtHx7WZA4xweu7kuFjbYPajs7o4FkFY47swj9h93nf7llX/D0raJtibqUmYcqZw+W2\ny5yJi8bKfqUTSiKeH5w9zKP6V2HcbsD/N0xMTNhXQgSRSKGQjS1g9erVmDFjBvdSk8L4XMgi3enG\njRs5pZxIIn1NzPSzzz7jBHIDDHja+BhtQurqUQsDx/z5RKpmeeS0IF+9J5Sfk4F8a0coM+Jx/sTv\naN1lGl8fFXZBTSLP/Q1lZgJchswq9XgrMmJ/vHcBjB28ym3CqYgCS25t6qQWsgwVqdGASARjO3dY\n1unEY2qq2Isvp2nneaqKRBT1Ye+mWUwUXUbrkmozn7qcq7l+yUf4YM4OJMQ8wvqln+Lm+V0a9bFh\n6/5464MfANsi9bFR8464cvEklIUB2vRmllYY6DnKubQd7Tr1wMWzx2Fna4Vhwz/EumMroLAN5Z8V\nZ7lAduI2Um4v5nUFiUtVfH/6sd7oGjK59G3X/KlVxYqGb3944SbOhu/VkI9u1QMwvEFdHVWQVs6p\n9k543O81NcGq60p08vPVEEX1zxXdvvzSA7T3rMIjVH2PMyRFfYO25nKk5EHnOClSJ1cBTKgvQX03\ncg+rlTQhnLtHFX/sjnjIkTPPuuLvWYPut46Dc7nZlnQtjffLeiz0WGNlsa/MuN2A/280adKEL2WB\n6gMrk41dYbJINmxqaenXrx/nLN66dYvn4NRvSEGShoxFAyqCJw22fhJVs1xyemU3jIxNYSQ2gWPf\n6UjeOhuXzy6HTJYBWzsv3L2+E16+jREdcRFGJhZQ5qSxu1jf8VaI4FHLSZ8PYVo4Zi2tcq8iCizt\n44kK9wI5yzB4i7rtRWs3E961K1TpV1FVUZqbgdzsZFhYOSFDbl+h8XNxVTE3Jw23r+xhRVE4Tuqw\nzjyxCjkPzzP5uXk+BnOnd0ZoyHX1SF9Lfbx9aTumjmuOT3/YjD1bfsXFk7s43obAe6c2LrAMasHn\niIiiiTwTtWrVxqmj+9C1ey8425nDbrAd0qHOuMvfkwVZ0nXYNh8My1odkLzpMzzOFrGZhXYUhega\nwQ29+d1JdMQVVhXjUjOwZc9BpObKEOCXiL4Na8PZ2rLMHunDoQruOU7JKkY+zoVjyvZI9r8fDFVg\nwQU5ttxRMHnzsCZFEPj7Lv2uEauHAmgcfTg0DINr1kDS6ZvlBlqnS9UVeE08xYhIV2qOk56bhRfU\nzqIZrU1xLFxZolKvmp0DDkWFP5eKv+eBoiYY/cSZzkcrDy+cjYsp87GIjIBj4yzgbSt6JcbtBvx/\nIb2SIdyUZNOxY0e+PHOyeP/+fSxevJjJIoFm3YIT2gADXoZh5mnIKbmh86UZcB01D2mHl7CxQeLs\nC+SmczWgqrBLOiXxIeo2GY6c7GSE7V9c6vFWiOCR2cZON7hen1GmPJJLZhbqW1ZlJPI+XmbwPyjI\ny4VN5zcq1bRT0aic1OQIHN/7Ax7eOaxR+CiE23bUl3DU81jLUhWzM5L5NgRSTUQxed00+FnL8akW\nMfr+zGkoZQVwGvqNJjBdQ67XTMU3U3ogwN4IK/uqY1/ORSkx5UAeMs9t5AsdIymK1WvUwp+//YLR\n4ybB1c0dR0K3Id1GTRRFkWawD3gTJi3Ur4mUf76CeX4u1s7/Biu37sHEXeeZiNLomRRFIop+xgqd\nx6MvKodAxGrW5j1YsOsIGz7cHWwReuoqPt24G79OGIzuAd6Ydy5WL0H59rQcgbwnWHKfsfkKKUQq\nCT49KkeAgwjfdzKFl40Ix8OV+P2yAj+cUaCFlwdszdRqXVZeHr48fhJSpQLDatcCrofBIjAIRCX1\nBVq3cvfEvfxovN/MGEsuK2BpAkw/nMeO4R33lbiTpCbmKbn6K/VCM9LhbGZeIRJWkYq/FxG5U34T\nTDMYiy6X+li+Py1HI3eRhig+r3H7qxA/ZMCrCWp/obEy7SSS+ZiSaopDoVCwwWXp0qWaRJvK4Nn3\nGD1jnD9/Hj/99JPOdRQCTifGgP9vw0zlyal675FUOYvA5nAe+Dmrca4jvkPug7PIuroXNJj2qtoU\nQbV6wMWjJndQSyTqTLayjrciBM+sSl3N2Li8JpyymlzyM5OgVCrU+YkiMbyrNkdkatRzadohorhm\n8QAUWNjqKHzxF7fjj++7Y+hrS+Hl20DH/SxAnwNaIXHlYxZIdebJVUwUL00yK0GMmiyXIvrcRpj2\n/1zz+3ReRabm8DVS4fxES53faVtFgibLcyFVFMDM1BRnThzEuZOHMXzMJHz2xVdQydLx07V5mttq\nkVYPwfsXFYZ4i9C+ZTN8/eF3aODlgM7t2iAtIwtJoffhbG8DJze1eU+fA7o4SFWcv/MIX+b0bIUx\nTWrB0tMXiRlZmL39IMb/sR6/9myNz48llgjfJuKRmQcs6mFSqiN7/M48Vu3oYmdmBD97EbLlYng9\nUPG+5bnoWIzeuh2WJia4FBMLiUiE33r1gOR6WLmB1vTxZGw0JtQ3wesNTTD7VB7+vqvED2fkaOYp\nwpr+ZpxJ2G51LowKJJjTsaiQISYni2NgRgbWxD903swsERwPNF2WgxmtTSpV8fcsY2rKI1kVaYIp\njVDS8/UoLZ/PDRFqIvDPetz+qsUPGfDqoU+fPhy6PXv2bI7IoRYZupDaSBmRkZGRuHbtGgICAvDh\nhx9i9OjRlb6PV54s0vg7ODiYs4EEUBe1Af9+PK1hpjTkq5RISQplguTg7KchpxlpUVi1sCfsO78B\nmwa9ND9vJDaGZc32/PMU6Nxj0Fy9x1Xe8ZZF8JRpcbCq20Xv7+lrwilTgR2xhKsHBeJKoPDxyjTt\nVFRVPLHvRyaK2vuFRsZmyLU9B2nSY6xdNIxvu0b9Hug6YCYrjaWpigRzS3t2PZOZhXYUc0LOs6Ko\njxh92kqCCbsuwE6WzaHo8tgHkCdHQhb3CJ/o+Z1aLmL80csUE3fJ8f7HX8Pe3hEtWraCl4da+fsn\nZBsepofw5z09OmHdhCW4Puk2vv32O5y8cAXHzgTj5Lnz6NO+RWFbixfsfTz01vqVFcAtkyswf/cR\nfNCvC15vEqjZVXSxtcbCsQNxL+wxdoYncDwOuZ4n7ioK327u5oz7SCx1P05CzhQA01u2xLX4WEzc\nGaEmNyIjbmup5mSEO0lJqGJnp3FD96seBGtTUySFp7KqqI9A0YWuy1bIecxN6i4FV28abIE5qfn4\n9KgM2+8pcSZKVngkBWjk7IiY7Cy+n0uJcVj94Cb3KK++f4sJqrO5BeSqfDxMMcL4HTK2XRUnYZTL\nR2PrEzGPkadSoaa9E3cmz7hw7KljaipDssprghEI5bzrwRi/I5YfCz0VHauKMbGBCVbfUKLFihwE\nT7LUIYxPO25/FeOHDHg10bx5c675o2QaKk65efMmj5uprYq+R/V/devWfeLbrxRZpDsWxs7EUrW/\nJtBBafdGPytQyfbgwYOf+e0a8N8Cjf5uXNyAy2dXIjsznq8zNbNB3cbD0LzDO7C190ZAzc6IvLof\nVrU6PlF2Y1koi+DJ7bwRf/s4rBv0LPd+UxIf4WrwWoQ/PIl8lQLepHTW7oGAGp11jk3788oYhypq\naqEdxZDbh1hRJLKbeXknpOFX2BBkZGoO21bDOX6ISGroxe1Y+kNPTJ6xDzALKDOAe8C4OQiZ3pbN\nLPSclWUcoFxEaehlZJ7fUhhdpCZLnx2Vw8ZUxApk8d+h0XHrtp1RpUpRCHXI/cv46vgX6g5oFXDg\n02MYun4irly9Dq//sXcd4E0VXPRkp3vvlgItZe+9914i4gAHAiKKqDhAxL1wK0sRZChDlL33LFAo\ne2+69x5pdvJ/974mTdu0gIKif8731aZpmry8FHN67j3nOGvZmVzW1nIc3Z94DvvmfoKI0LK1gbxi\nFbINEviLiuFeaqaxh9jr8cgtUuGJyIDK5/TaFTzWKBJv7z6Ghc+MwM/PjODw7exiFRSJSZCHhKPF\nNz9Y9+MuZxnx61k90orNqOEhws08au0BE8BnmjfhzESKwqEdRRo9r710BdGJifi0Z/dyj2vZVbRH\noNoEBLGBPjYzja8jqvPyNg2fDzoGIj/zBzlhYmsjxmxQI8w5BI9GNMC8i6fx0qGdfL/U8FLP0wdn\ncjLwUqOWeDSyPkfCUM/xvEunsf7WNbzfuhO6BIVZSVh6STFePLgDqapidAwKhb+TMzYlXGfSGeIm\nwtFxrn86cufPkiwLcbYHur2TVMad0suHO6GWpxheTsLxvdDazGSRSPWqEc53PW6vCg9i/NCDDLVR\nAbPh3o3oNUb7yQgPMijCkJzQ9xp3RRaJIFKgoy1sv+7Zs+d92WHMzs7GmDFj2A7evn17llArWsFt\n5/LUV20bSunA/weO7JmJE4cXcld0/aZDeXx8/dJOnDi0EHk5cRj46Pd/2mDzV0fslgzG2z1uws0j\n2PjbS3D3DEGztk9CLnfGzSt7sHvje3x/bTo/Z/dx7/Z5kapIRI2Okz47OXtWWo4mMwuprcaSfKT9\nOpmd3BIinGZA4uqFgiO/8w4mNccQSc1c9iY2/fEpBjy9uMrzIzS1RGDqVwexauEUXDxevXGAjil3\n+2wowhpxC43YyR2p88YgwkuER/5QY+MTwKAoWYV4Gwm8fQXFz0UpRnzcLTz86RBoumr5ukc1Ugzs\nLMXnh2OgLjFi2UgX6+MLb8RCW8t785dzW8uNpFRM/2o2Nh07ywogmVOGtGqIj58bhQiPyrV+Or3w\n/x83hbxSBzTBIyCIa/lMTMxEXPEnvnkLUMg5gJtcz18cvoXYFCPmHtcj3EOEer5i7LxpYtJIKNJp\n4emkZIJo2U8kJBYWwFOpqEQiCTlBgZUI1M6beryzLxW1PcXlSBWNV9v8rMKrbWU4lWbCvngjO4Lp\nNyRIaUKIixuW9BiENFWxtcFl5O4NeCyyPtfXWeCtdMK05u2RVFSI7Yk3Mai0p5t+56bE7GMFcn3/\n4Qh0FtYziFz23bySn2dCvonV4rvdAaTvfXk65p6TLLpfSxxQiyCJncgjOcZs0OBgggHx+aY7Grff\n6eM9aPFDDjy4mDt3LndB0/iZHNHffvutNebwbyGLRASJiFUH2vu51yByOG/ePP6fC/Ucfvjhh1i5\nciXX19hz/nz66ad8Gwf+v1CQl4Ljh37m5pUmrR+zXt+26wsIrtECa34Zg6RbR1Ejov3fYrCpOLK+\nE2OPQa/BttVvIqJuD/R7+HOIJcI/TyK/p48uw4HtM1AzoiPvUlZEdfffuMUjOHt8JTLTLsMIJUJq\n90RJtitORi9BesoF/nm/wLpo02UsGrceYf13Ra5nMuXkH1jKGYYeXZ5CyuwnuYLRpWEP5O9bhJxt\ns7lej3qnXdsMYxOQn0cxd6LYUxUt8A+KwMR31mD2Rw/jiyO7mKBVMg4c0vHji1084Nn5SQ7eLiaH\ns0yGHK0ZQ+qKMX2vFgPrSPmYWcmJMaFHn4Fwc1EyUSTM+Pwt6NoKRNHFDMx0ViKwqaBKtv1ZhU+i\ntVY1qGJby8nL1zFk0tsIVGrKq49HrqDbax9j/7fvooahqNxza1wzhEnQzpR8jLRpbVNducSfd168\nhsYhgWycsYUlgJs6oAfMv8VEcVxzKSa0krOxJKlAh3yNGGqDEe/u3Y8lwwSzoQX5Gg3+uHCJyWLH\nhYutymFnDy+MD6yJhXZUKnruUT5iHp9WJFXN5hXj26N6RHoRkVTaqHMZTDpt1blLudnIUKswrJYw\n5rYFvTZDa0XhndgDPHYmFfJsTiYu5WVjcfeBrEDGFxXwqLZQr+MRL+U4zj2uww8Dne54B9Cimu5L\nSeT7uF3Q9t2SLHrM28UBEaGmfc6K4/Y/gzt5vH86fsiBBwsUZ/jqq69iypQpqFWrFvbu3YuuXbvi\n2rVrPPn9W8gi/YP/swXUf1VStR1B02U6CeTGppNQEdOnT8fUqVPLKYt/9SQ58ODjyrlNrOI1bPFw\npe+F1WqLoLBmuHR2A5PFv9NgY4vbPS6poDptMbr2m2olihYQYTx/8g+cO/E7eg358I7v/8bl3Vi/\nfAJc3QNRM7IT8vLzcWr/x0wm6zTshc59X4NILMblM5uxZdVU5GTdQveBgnnMydkDfoFRyEq/KgRd\nlxRSOCWbXOj/B55dnkbxxb0oPrsTnp1GlhppDOx4dq4QYF6x/9nSAT365W/xyaR2aLuoBFPbi8tM\nEDEmJGtcYDYVs6En/dfJfE7adBmCEU/Ox8evPwp1ZjHi80xYd8VgJYqpWmd8NfVj62MU5Odjj2YP\nzKUrY69BjkAetArEYWpHOcZu1CBPbbaOFG3bWt6fu5iJYsyYMmcycbw2IUYsP1eC9i9/iCfbNcaE\nh/ojovRnAzzdMaxJHXy8dgdaR4SjTmDZXuO2TBXWnb6Ibx8dbL2u8PzFcucl1NMDLgol/N1kWHym\nAD+fJvIBdAv0x4fDuuCD/ftxLCUV0/fswzNNmyDQzRWxKan4+nAMCrQa+LuUrxD88lABXoy7gEKt\njiv7LM+DnjPtIVYVNu3tJIJMLMLx8S7VqnNGswnJKqHVi4ifPbiWVgCScqgzmRCbkQofhROWXj2H\nA2nJVmJLbmzaBWwcIMahRGHkbouqdgBtx86f9ZTjrT26e06y7jQO6OfuA1HD1f22981rMzmZ2Fe6\nr0mxQ31r1Laew39L/JADDw6osYWmvSSaEcaNG8eT2F9//RWTJwv5wX8WD7zBpSKoqsbT05OXOO1B\nJpPxhwP/XyhR5cDTuwYkEvuvvbdvBIoKUv8Wg83tUNXjkinH2y8CLm7lM/sIRM5q1GqHjLSLd3z/\npCTu2fQBWnUci/Y9JiE1R4TEa1uRfHMnFEo3FBVkIqJ+d77viHrdEFarNbaumoqGLR6Cf1A9vi8v\nn3Deocxa+S5cWvRnpc9ipBFJZVCGNeL2lDIjjRSuHr7Vqoq28PINQb9Hp2Df5vl4Zn28dULRtstQ\nvPboVHz0YjtM/3odatSqz20tNYIFEvr90sP44fPJiD+8E8P/UPPomRRFIoqhocFWVfFa4kmY2wmP\n5WMW4Q1eWqwYgA1kqkzwcpJUamvZE3sai23IFOUajlqrZgdynwgJNl/TYNOZq1hy+AxWvvEcejat\nz20tX415HMO/W4QO73+HAc0aIEhkwonULJxMzcLoDq3wWOvyi+a2tX5xOXnIKlZh8bgnEebpwQ0u\n6ecv4Ze0TDy+eg0TK8LWa9ex9vIV68/5ODkhwkuCE+Ptj14LssoHS9NzripsmogkjZ+JSBJ5o0xF\nnRFoHihGgKtYaC1Zn4CFl89gXdw1pJeo+Oee3rMZLzZqwQqj7eRnW+JNOEmkeGjbatAWGH2HnkWC\nOrnCTmEam3WOJpsQ5l6ewFa3A2i726c3AtP36u45ybrTOKBG3pX//VYEGYloDB+bmYra7p7wkCuw\nMf46Zp8/gS/ad0dr/+B7Fj/kwP8PNBoNvL3LpzV0796d+6H/Ku793PgeY+3atXwCbL8uKCjg+BwH\nHLDAzSOIyRaNcu39BZ+ZdhFuHsEP9AmTy12Y9FKUiz0UF2Vwo8yd4syx5Uw+O/R8BRkpF7B92SDE\n7iLVXQSdtgTpyeewa/0HfH4ITVqPgJdvTZyN/d16H67uAXDzqoUg3wbI3z2fq0AoBoiMMwRjcZ61\nLaU4dh0atRx4x6qiOvsE3ngyEmsWvwcvv1CE1BIIVHhEE4x9/QfUimoJT29/3Lh8En6hdcpV/YXU\niET/IY9CIpFi/m+7seVwHL79cQUTRVuszlwFlP798A7kcC81yJQjDmLA30Vcqa2le6tmMNmQqZRC\nE55ap8bzLWW4PNEFH3VXMuFZM30iBrVugqe+W4Ssi+f5th7OTtgy5XnMfmY4itRaxCRlINTfD6sn\nPImp/bridFIqTiWkIOnE6UrninYZCWKRiCv+ii9fx0uxJ5FSmMTEav4ggeSEuZvhJpfhkx7dsPax\nETyGfqdLeVJhO3olUB6lBfScLbV/FWEhkidSjQj9rhg9fy1B/+UlfJnOAZk76KfmXzqDHiE1eZzc\nOSgMJQY9Zpw6gh8unLLe14a4a9iRFAcPpZGVzTPPu3BVICFLZUaHMCmTOnJfE9kLcQdy1WakFJnx\n61kdzqSTyUfHhJd2AMnNbG+3j54jPVdSiIfVl+KrIzp+LW3xV0kWPTYdAx3LnRxbVfjgeDRuFuRh\nQdf++KPPMCzoNgBbBz6KNgHBeO3wHiQXF93Tx3Pg/wdXrlxhnkSjZzIIUjd0UVH5VZn/pLJI5haq\nE6ROaiKJly5d4nDwqKjKuzEO/P+ifpPBbHA5eWQJ2nadUO57NN7NSr+C7gPftfuzZpMJiXFHkXgr\nhslQSHgr1KzTGWJx1YrY/UCdhn1xZO9MXL+4A3UbDyj3vYK8ZNy6uh89B39wx/eXlnwWUQ36IC8n\nHmt+HQefoOYICo2CwaDFkJEz8cOnHXHy8C9MEFt3fpbH0YGhjVCYV6ba1286AKeO/IoRz34D/6Dv\nkRx/Bn8sfJ7NLMq6HaFNuQR5cBSHmkvUhRj4+Pu3VRWJKBYXZuH7aYNQu24rjJuyCBLnIAR6iRB/\n/Sy+ens4Pn/rYbwz+xD6DnsOm3+fgw69HkPTJg2sBpLc7HT8POdT9Og3DI2btYWbzQjZoirGZZ/D\nuoS1fFlWCDylkAECRym3F0kEY9M1faW2lp8e74u9x09bFaqfT+nhrhDhmz5KJnIC0RQh2MsT3455\nFFHH38GqM1fx3BCh9lQhk+LxDi0x2FvYu0uSuWHamq04eD2O6/eIxtCRdo4Ix4f9PFHTWyDDtX28\n4Ofqgs2XrqJBoD9mX72GYA9YQ7onbFZzaDcpiB0WahCdkIAWQYG33W+jx/s2Ro+nmsorkaqKyhV1\nTRN+OK7H9M5yjG0hh5tchI1X9Zi2R8sh4ITpLTpgSOme4idtumLSoZ04n5OJxVfPoUCnQVJxEY5n\npcFDIcLVSS7sYCfQ+aQx865bRozbqMa+Z5xZiSzSmvkc09mJcAvAmA0ZdnMPb7fbN6Onkt3J9EHG\nk7vJeKwOd5LJeLtcx7jCfOxPTcQ3HXqiuV+Z295TocTHbbrgoW1rsOrmZUxu2uaOHs8BByygFT2a\nzIwcORJarRZKpZKVRvqgmuYuXbrwat9/kiyOHz8ejz32GMuoxJDJ1UNjaAccsAWNbjv3eQMHtn+O\n7IyrpW5oBRPFC6fWcHxOcFizSietuDCD3ceZaZfg4xfJppCTRxbDy7c2ho6cy6Ptvws08m3Y/GHs\n2vgeNOp84TnIlIi7dgAHtn8Bb9/aqNvozvvXiezq9RqcPLwITq6BePrFRYje8R2unN0ChdyFVbng\nyI44vHs2mrcfCYlEjpzMmwipURZ/JfNuj+BanbHix2cx8PHP0KD5QIx/cxPW/vIKkg8t59sUndiE\nxq0GMVH0DbRs7lWtKhKuHl3MAekvvf8HlE6uKCoVhGvWaYpXPliOt8e3R1bcETw2ZhrOntiPKc+2\nQ9+hT6Feo1aIv3kFO9YvgZu7B16ZOsN6nyZD+eSDb09/DaNZUM0UMUp0u6WtVOGXoVWiVbO6GLPx\nrN22lqGdW+OrmNNswDmdbkTPWhIopIKZ5qsjBlYUvVwFc0yr0ACcS7UfqUNEsf/3C6DWUTuLCM82\nk7GiFpdvwoxDSXho4TKsH/skE0aZRILRrZtj5sEYBBWXYG9aJityLjJg6VkdFpzSY+4AJROvKR2l\nGLsxHq936GDdb6OdysOJgmLaO0KKGh5ioeNYJEKWSlIuWLpNsBgbrxrQer4K0zqXkapPDwoNRn4u\nIrzZUcGjXVIbh9SVoaG/GK0XlPD3m/mWxQNRU81PXfthe2IcPjt1mAlRfS9fJsQz+8mtRNGC34Y7\no+MiFQ4kGBE1uxi+LmJWMt1L+dWbzTpYg8Kray2xt9tHcT9k2qEoG3Iok0p6r0hWVZmMtDc5NWbP\nbXMdj2Wmwl0mR6egyk55mViCPmG1cDg9GZPvMAPSAQcs6NixI2JjY9mMTDmLx48ft3489dRTMBqN\nmDhx4l23t/wryCKBUsjJje2AA9WhebuneGx64tDP2PjbRL7O0zsc3fpP48q+iqBxL5k/jAY9Rj6/\nGv5B9fn63Kxb2LZmCtYtHY+nXlzPhO3vQo9B70Emd8bBHV9h/7YZEInEMJkMqFmnC/oM/eSujoXU\n0SvnNkOrKUHDNi8weW7U8mEc3TcPe7bMgEZdiE69JmH5vMeRdCuWz0Nm6mX0ffgT632Q2jPm1V+w\nYdkbWL3wBWEnVCSC0aBF3cZ90LTbG/AgEhtZeU+LVEV742fChZO70LLjQ6VEUcSqogUhddoiOCwS\nJ2N2oGHzTvhg9g4c3DwPW1YvxPb1v/Bo+pFRz+OxpyfC1c3Nrqp4Pu0ItiZs4cv1PCIx/8Nv8fV3\nczBm424rKRzUqxuWPT+KpxSWtpbAkFB4ubtZA7g/Hv8kur5wkZtWXOUmVgRpDEhEMU0lxfKRZY7k\nPLUG9d3L/3FhcUBT+DZVSDpJgRu5ZjZgSEQ6VvZWDnfCE2vU+HJvNH54ZAjffkKH1ojPzcO7ZwW3\n+orzeq4BvJZjwuR2ch6Fl+1cmmEwGdE+LAQvbkmGSg+4ycG7mFoj8GgDKc5mmKzEpaJK1TogmIfz\nYzakWa+r5e4JZ2kRclQGhHxbBJUOTLhobE33TbenPuS5F0+Wi6AhsjO4ZiR2JN2En5MLnqnbmIlP\ns8DKbzUeShGWDlOixfwSdKspZTWTSHRuiRHv7NWXCwyvDlXt9hFhXDzUCRcyVPCUBuKztt3uKcmy\nPba7yXWkNQOJWMyxSfYgE4utqwhVPZ4DDlQH8m20bNmSPyZMECZtFKVz6tQp6HTCH4L/SbLogAN3\nijoN+vCHuiSfSZazi0+V5erx1w8iO+Manp64kXf7LKDWlyFPzMHimX1x7eIONGhWPqLkfoLIGJHb\ntl0m8GicQrkDQ5rwqPhu0bT1Ezh/4g8Y9MXw8xXUL9+AOois3xMnDy2Gj38kZAqhxYX2FK9f2MXm\nlpDwFnxder5AvBRKVzw6bh76DJuOW1cP86i+ZlQ7ePvV4raW6gK47SHYlwiwkd3NRBTtngepjNcD\ntAYTFEonPDZ6Mn/QCNqzNOXGYNBVqSp+deoL6+VpzV5Fw9r1sHjeHBQk3USeSgM/H294mUsgcRJ2\nQL30haVtLW7Wn6Nav0h34MCPM/DOzPnYcPwC7zCeSNWgb+NILB87EhGlTufofftxIS0bM0YNq/Rc\nij38seXcFVb8KKaGHNhlETw69FpagikdZHh77w2cSUlDLW8v3lWcFhKMfuG1MW7jJmSVmNE3Qorf\nH5GhmY1pwzIK/+LQYRxKTObrQt1E+LiHHA39JFh0Ws9KpAgivN29SbUqle11S69dwK6kOKSrixDi\nJua6PssxU/Vfkc5EfzNgf3JCpQgaypC8VZiPhl5+t3X0ns80sQL6cls5vo7RcRg4EVz6raDdxxcb\ntbwjFbC6fueMYimmd2rJz41wPwjX3YRnN/MJQJ5Wg1PZGWhpM4Ym0P7wnpQEtLBRbB1w4F7A2dkZ\nnTp1+tM/7yCLDvwnQSHTt0PctYNMxGyJogVuHoGoUbs94q4fvCuyeK/ieKgW725Gzvbg7hmMjoN+\nxP61o7F7w0c4F/sH1CV5KCpIZ6JIl5fMFCJcbl05iHbdJ6Bjr0nlyHXtsDIl09MnDC06lCm01dX6\nEapSFQl1G3fGga0L8dBzsxDmX/YYpGCpsi4iKe4yGr3+HV/nXerpsYRd28Keqng4fhsOpx3iy238\nWqBXcBe+LCrMgqeHO/wCSt+g84VRKiGvqBg5GjP8jWJ4lOSWe4xaIjU+erw/1CYRtp84zwrb9vM3\nIFu+Hu8/MQQ307Lw0vJt6FS3NjrWrV1JVaR2FgLlFR4bVzmGhvbqdt4yskL40KIVEIvE6FMvEi8E\n+KNDo0j0iaiF5MIkfNazfDizxaxBZOxGbgorfT8OUODn03qM2aAVdiJFzO1hhhnP7N2E7qHh1rFo\nRdJkq1xR9At1PVP4eexzlY/Z98siJnWEihE06+OuIVNdgkE1I2/r6KWd0QZ+IibM9B3qus4uMTMp\nP5KegqMZqRz+He5W/b+lqnb7WgcEwd0TGL13833rVb7b8OwG3r5o7huAT08exqxOfRDqKvyBojcZ\nMevcCSQXF+Lztt3uybE54MC9goMsOvB/C1K3pLKqVQb6HuUG3gmooSV693e4dWWvEIgtknAF370M\n+r5bEHFVKL3Qttt4HN33I0fpEIgM+gdGokWnMdi88nXe9xw1YUW5ETepirZEsSr8GVWR0H3QeOxY\nMxMrZo7Dq+/Oh0LpzEQxNysFs999CuERDdGgVeXVEwVU2LNtB/LzslCvXhRatukIs7HMAW/SFuDL\n02Wq4vRmk3nJ2wKZslSWzE9nVfFmYjLe/fxbbDp0oqydpV0zfDLxWVYVCTfTs9H9/bkIdNZhVj8F\nlp7T43iqCZuPn8PG2HNMyvrWq4mfXnyqkootDQqHLCePL9NOoD0yYWn+IASM/ByGggzsP7oaR+JO\n4o/QGpjcvj1GrklFu5/VvKNYppoZcDPPjDBueBGhmVmM8a0U/JFUYELXJSrklJgxq78C7+7ToWmg\nGHF5d9Yp3MY/WAjHdhfDucJLvPmawUoUCb9dv8jNLETGtibexLpbVzGqTkP+mghSdapffB5Vqgkj\nVzozrYLFWDBYiTyNmRXMazlmfH46Bj926YfboaJqqtbr8fLhHfe9V9lisEkvMuOzaC38nEUY3kDG\nOZVV5TrOaNsNE6N3YPiONWgbEAwPuZKzJwt0WnzYujPqeJaPP3HAgX8aDrLowP8tgms0x+WzG6Aq\nzoYLtZXYQKdVcfVeu27C7mN1sFT5mZ094T3gZQ6tpixC6mqm66lZ5e8kjBWJK+2ZkcOUnKZdwyUI\nchNhx/WdWH5uO0cO9X/kc27AocYWCuK2jJ+rw19RFQk+/mEY9/ZqLPp8BMY/tBVN2/SFSlWMiyd2\nwjcwDJ/+sItdfbaq4trls7H0x49RoiqC0olihopQO7IuPvlyNtq2acm32xq/BRdyhPiavqHd0Sm0\nrVVVLDsYoTeciCJ1QAcqK3ZDn0fXF6bx+JlUxffW7GGiaAnmntRWgdNpRuy8acDMY3rUCwzGyjfK\nO/BJVSSiGJedi7fWbGXidbvmD2VIfc6tRFgjrk/MWvo6vok5hln9+2DF8OH4LiYGYzbEC6qZWIQu\n4TVwOSsB73ZRYtk5PULdhV23tZcNmHeC2l6IrAHXc80IdBWhlqcEvw1X3FHdndoo/JF0JMmITotK\neJeQfoc2XNXj94sGPNFIit8uGBDs4so7iWtuXeXbBzm7cLg0Ecjl1y9albxP23THmrgrlRy973Rv\nxjWBvs4inBzvgjCPst8TUiLrzynG8cw0DvOm6sA7gUUhnXp079/Sq3wlTyhbn7ZXy9WMGSozXt6u\nwftdFbxyYC/X0dfJGUt7DsHelHjsTRFG+UNr1cHDtetaqw8dcOBBgoMsOvB/i6iG/XB493fYsW4a\nBo74jnfzCHqdGjvXT2dzScNmD932fqhij4hiwFNfQSwX3tAotJre8Kmrmb5PzSp/B+KvH8Km31+G\nSSTmSBsYNKhpTETsOCdsu27ETyd1OJhgRICLiJfsNSY9Fn/Xj/O4iJzVbdQHDTq9jWZNhVDu6kC1\nfpmp2RzCbclWvBNVkUC7ig1a9sXcVTexZ9NCXDp/FDK5EpPemY8ufR4DpOUV342/z8OPX76BMS+8\nhUeeHI8aIf64cvEcvv5sGsY/PRzrt+5GaLA3vj3zDd+eRrnTmr5S7j6sqiLtRDq54r3vZjBRjBmj\nrDwaXqThPcU544ZjY8xpJpO2qmDzIAl/EPEeuzEF+aoSeLqU3T+BiOKgWQvh76TncXDFvT0KviaH\ncUySgVU1kU3fPf0eubQdjj3bZnLPc7inB77v369c5zN93huXwCT0XIAJqy7pMXq9GsvOGTAoSorR\nzeT47qgOs47RjiEwvIGoyro7yvwj97LWaEBdTx8ekxLRm9ZJhguZJry4VcOGGVL+lgxVMikl0hjq\n4orZnftyRzQFc791dA+8XTTs3rZV8qbHCkre9BYdrXuRhFNZ6UykJ7SSlSOKBDrWl9rI2AzEdYB3\nSBb/jl5li3qZpirC+8ejmSS7KdU4+Tx1rgNzYnV4e48WCgmw8LTBbq6jXCJBvxoR/OGAAw86HGTR\ngf9byOROGDJyLtYvm4CF3/ZA7brdOTrn1tV9MJuMGPzEHChvs/tIo96bl/ewomghihbQ125th+Hm\ntll8u/vRFmO7I3n+5ComvxBL4RzVhseZuow4yPzFrEQ91kjGHxaQq/fZDdmY01/BMS5sXjiyF9uW\nHEHYtJ3w8S/bv7PFtVvxiNn6AW5d3G4lmY1bDkT/xz+E2C3qtqqiBYID2h8PPz0NfXVEPsve1MnY\nYlEVi1UqLJ33KUaNfRXPvTzdept6DZtg9vxleHRwN8z/cQ4aPR2FhCKhBWZErSFo7N+gSlWR3M8b\n9xzCoiFVjIapG3rjRbz2+EM8nq62Os5kRlaRykoWLarip7+sQqCLAUfHOnPry4xoIc8wvdiMt3Zr\nsP6KgRVFenQPBVCQdBFGTTEkpX+0UH0inV8ihR5KgWjQZ8tlgsU8Qu7ob2N0TBQ3P6HEgCg5v76k\nKncJl2DbDSN23NBjakeFdSyaWFzI7uX5l07jQGoi/JTOcJPLsfjKOfg7OaOJjx9WXczmuj+K7aE9\nQhrT064h7Vm2DBLjVFoG0lUqvr8VNy4gxMN0WyWPRq2fnjxkjZjh18ju2RUej79fhUnt7+5VtvRP\n2x47ta8QCX73+H7rqL1/HSn2JxgwZbcWrlIKTneEZzvw74aDLDrwf43AkMZ4ZtIWXDy1Bom3jnL2\nX4v2z6BRi+F2a/cqgogajXpp9GwPQl+ykW93L8lixVGzEO8sFKl595sIt8a9oc9JRurPE5BYYMLk\n7Rr8NNip0hsmEYAetaSo6yspfWM3o+1CDXav+xiPPb+40uPmZN7C2jl9Ee6ixuIhZQ7ZL47swJz3\no/HkWwcQFlD3tqqiLWhX0Ra2RJFw4fRh5Odm4tEnXyhnaiEHtEKhxOOjnsHsOV9iXzPh+SnEcrze\n+MVqVcWs9ESO0LkdCTSXEpZqq+PEIvi5uZQzteSXqLHt/FWrsjWxlQwDf1Oj+U/FyFSZEeYu5iq9\nMoexFoU5ZuRunwOZXzir0lSfyKN4p/KKpQVEGnvVrokvDyfh6DgZaniIkFBgxrv7dYhNNWHucR2U\nUqrqM+Kl1jLMitXjWo4Ru27q+bdlzN7N/BvDz9fHD++36sxGEjK2kBP5XE4mtEYT2v2swpSOZRmM\n5OAmwvtJdzleSNVi2I7V/Htk2Tmk70V6i+wqeZfzsvHyobI9QmqC6bqkhE05b3RQwI0DuQVoDGb8\ncFzH9xtBLpW7wP3oVa4Yj9PAV4w2P5fAVaFjolhx1E6PSv8y32rR0RGe7cC/Hg6y6MC/DvfKcWzr\nnG7VaSx/3C3oGMjMYulLrgihL1nCt7tXsLcjmbXhSxiLcmA2aCFxEpb2xS6erMg8XE+CX87q2U3r\n4yyutuqO3tindhBjzMbtUKvy4eRS/k16yx8fM1E8NrZsvFdGMksQu+U9NG38+x2qimWwVRVtQbuK\nYoNQVeXhVfkckgPa3z8AqiYqFKuL+brRUU8gwrumVVW0NbVYH8/b6/YkUCJGZHAAhrRvjq+OnLPr\n5qW8xYHNG5QbQZOqmJ2ZXU7Zah0ihckkjJ6DXcU4auOKJjNHdomg3GniTkGbchkFh5ZDLHdGt/Dw\nckpiRYxr0RLjNiaj9U8qrscb11yKC1kmzmSksTHF6KQWmZkoEob8VsI5j0SCLUl+5HguMedg3P7N\nVtPH1+17YvC2VSgxGNjgYg22FgMP1ZPi+75yPPxHCer6iNm4UzZy1rHqSIHYlHNYUcmbe+FkpT3C\nvpES7LppRLuFKrzdSYEWQWJczDJhRrSWyW8bcjTf5aj4fvQqV4zHKdEL5/Gbvkp8fEDHRNHWYEPz\n6Ed2roOn/O/LaXXAgfuFB74b2gEHbEnSpt9fxU9fdsavcwbx581/TObr/ykQWSXXc9Gxdda+ZAvo\na7o+ol7Pe6oq2u5IujbqCZlfLRjyUuHVYyykXsEoOLKSx5kmVT6cI1rhcIoQzhybYqzwhqnjN36q\nfatkuDAZUVwkLO5bQOTx5sVtTCbtjW7p+rOxm6EqFty/f1VVtETl1K4jjJNjj+wtpyoSUSwqLMSv\nv80DOgg/4yZzxaSG46o8d7a5ikM6teIWF3v9wUQCB7drBi83F7zXpw0HcFMwt20/L32dViLDew/3\nL6cqEqiFhY7U0rtM53hQXQly1eVd0TdyTRi0ogSdakjwfV8FYFDDrf0IyNx8YdKVcECzPSTkF+CV\nbdvx+Oo1KNDqcS3XxOTw59MGnEgxo7G3P2RiwFUh4v3BHaME1ZWIYh0fMZY8pMRbHeVwloLVx3y1\nGT4uBiZEBKVUin5hteEqk6FEL0LcK664MtEFmW+4YdUIZ8w5rkOwm5hH1NTpXNbt7ML7sNScYk/J\nO5aRiqeaSLgRxoLZ/Z24tYUc3NQ73eAHFR5dpebn5CqVspuadhaJhN0N7mWvcsX+aQIFrNfzFWPP\nLQNffyClbAeyppsHzuRk8usX4VG5K90BB/5tcJBFB/4VsKhpSVnXWU0LenYWf07MvMbX/5OEkeJx\nRCX5bGYpvrAHuoxb/Jm+puvp+/cKlh1J2oUstyMpEnG3s0f7EdCl3UDyzCd4BK26cQK38gQytDfO\nYH3DpHq3pEITd+hWBFfDiSVwdSvvEE9My+EdumpdvUYjivKzrKoiEUVVUR7Skq7y5+pURSKKFUEB\n3DVq1kGbDj0w79sPkBB/E3E3r6EgPw8/zZ2Jts3r47TraZgVwnOUHpMi9VZ6taqiBZ+8OoE7oNsv\nqkwC09VyfDx6BN8uwt8bez+bgshaDTFmoxbNf1Jh7EYtIsLqYue0iagd4FtOVSTojQIbmnHYYCWj\nE1srKrmiyXzi7yLCykec0LUmqY9mFOz+Cd38PfB6+3bYfesWMooFxdSWKI5cswYphUk8Dj3zvAsT\nQi+liP+HPr9rfzaDRPlIcPw5gcztTzAyeSQV0XIdVfm5K0WsAga6ieClhJXwWOr7aB+PiFX/5Woc\nSzEiocCEH49rseGKAdM62d/3pJE17WOSikogEvjuPiJRQjE3GVb8virCiFWkcppYgYx9zhVtQ4X+\nagI9j8bewWjo7c8ZiY/sWIvem35jhzONg+8EluzFQEUo507y67ZBy1/fbWyOvR1IUu1fai3HkjN6\nThqw7EDS+YtJT8GPF05xdZ/XXYy6HfhrUOtl9/zDAQGOMbQD/wo8SI7jiqBYHIrHoWO4uXWWkLMo\nlrCieK9zFu3tSNKbllPN5ii+uA9e3UlVM8Oz6zNwqt2Sx+N5e34GjEX4OkbPH+SCdnXzg79LLkeq\n2IKIzRdHTKjfrF+lEbSTqx/v0FU3upVIJHDz9GOimJ1+A2vnvI1TRzbyfiD9bNsuQzHyhS8QFBpZ\nSVWsLoB79IQ38dr4hzGwW9PyP+ABiNuJYYIJ3lJP1M+LwvAnn8Xe335GRHiYXVUR2SmQuHgg0sUD\nBxbPxDtfUw3gGTay0P7h4FYNsfK5UYgIDoA+8Qb/CDW1LHttHPKKS5B84RwCa0aUGz3bqooEX1cX\nJvA3CyRovVCDaR0kqOkpruSK3nJdjyebyCCXiKz7j1tHjUSYhzt0RiPmxB7HocQkDG8gVFESKEIn\nyJXGoUKUD4Hur7G/BK0WqPB6zB4UaLVMIEnB+/iAljMLCdO7lK0PtA2R8H7h5WwzZz2O3aiBwSwQ\nIzeZnN3RzX0DMbZ+03Jh1xZUv+8J/HZBx0TqRKqJSaAIWt5pfLeLgkfvtPtoO7J+qokM+24ZsbDH\nIJAuey8yEitmLxbrtIhOS+aGmhAXNwwMj4CvzT7r3e5AvtBaxiT6pW0CwX7t8C4kFRdZSW+RXsfk\n9l4FgDvgwD8Fh7LowAOPKtU0W8fxlT18u38KRAiJrD4/JRpPv7QZz78ZzV/f63xF2x1JW7i3eRja\nxAvIj14KiMRwbdafx9N0fmiPUax0Q43IDhg/ZQ8mfXAaj7/wO9K1Tmi7UFtOVaOvE0uc0GvYu5Vy\nFan/mVzPRCbtjW6/iDGhaZtBcHH1YqK44L0OUF3fyo5jVr+GyFF4eQveea4N0pJv3JGqSIi7eRlT\nJ42CmXIgo9pD4l5qPBJLIOklgUks/OzU5pPwx88L4e/ri7m//GZfVcxOKfcYtWV6rJwxDSkbF+Lc\n0u+RMO89rHj/NSaKFoi9g6yXnTKSUMfPq1JMjq2qKBy7E/o3rgeRixeSPJpj9AYtGzkIMw7preeP\nyJyLTHAYU8h2z1o1mSgSaIQpFYu5Ps8Cis7ZfSuew7krqnoU5fNOZznytFo2rkzapoH/10X48ogW\nr7WXVVI1O4RJ2NH8/GY1ZzTSS0Df9ZQrsODyGY7TeTSivpVw7Rr8BGZ26s0/Sy5ry4i9IrZcE/Yj\nX9qqRbbKzCNvev3ps9oAjNmoYff91pHOrGa+vlNt3SPsFhqORt5+WHLtnHU/sPyY25mvt4zL7xSu\nMjl+v3EJo/dtweaEG7hVkIfFl89i0JZVWH3zyl3sQJa9dgSxSIS5AxSo4U5dz0CGughRPiK810WO\nBYMVyNGnsinmTtVQBxx4UOEgiw488Lgbx/E/DdpN9PatdV9icqrbkVSGN4Fnt9HQ3DrBilb2+hlI\nnT8eWes+g3PdjvDs/iySbsVag7e9fWti1KSNMAf2wLMbdDyiG7NRD3Fob4ybuqPK2ByKx0kqsUMy\nF2mRVOKMoc98xqrizhVvI9SpBMfGKMq/2Y9R8PW/zp16x6riD9++D73CHf5PfQv/YdPh00cISvd7\n/h0YGwqEpbZbOB6PGAalUoEnh/bHxl377auKdNlFeG1M6WWrC15uroiUaOHlWkYCLapiRUj8Q8t9\nXVFVtODdgT2gVOfDmJcOz94T4DdsOlw7jsSNPDNaL1DxeaOdtwWnaI9OjbRiCbe1WBCTnAKVXo9m\ngWX9wRSjU10kzLD6ZWOzej5iDKsnxdwBSrzZQVGJ4JEi/ccIZw7v7r9cILIBLq4Ys28LFlw6g6nN\n23M1nS1hauztxwobmVBIGbQlTtklJvT6VYV39gkOZlJR4wrMWHnBwBmK9PqTikg7jd1/UaHWzGIO\nDN901YiQb4qQVCDmPUJ7+4EVndW24/I7waIrZ7mG8JUmrdHQyxvnc7NQbNDDaDZxQ8z6uKt8f9Xt\nRla1A0lrC5kqoLa3GNlT3HDlJTd82F2JcS0Uf5rcOuDAgwbHGNqBBx7/hOP4QQaNtmlPk8bvrLYq\nXFF0ZAW06TeFG5iMMOSnQVmzOdyGTeNzRnuUVF1YUpzNZJFAhLHdkPlo3jsfvu7FvKNYcfRsURUt\ntX6+gRGY+OE+bFv5Pp7duIV3GGn0TIriG898Bv+gCKRl5eHSiY1VZhhOaS/GmE0boRTlE02rVlXM\nzcnAwd2b4dW/LMfSpBfME8U+W61/7k6MHAPXUkLo5+MFVYm6XK2fPVWRIHYv/zsj8igfl2SrKmpu\nCi0l9mCrKlqvi0/A951bYnlCOvbt+gkms4lXADrUqgExzOXGunW83bDs4X4cvk1ILSrCxwcOok1I\nMOr6+ljvk2J0qouEOZMuBHwTTqSZuGd5zWUD70V2CBOzqcnWHVzbS4zDY1zQ4icVR/q4SuVo6uuP\nL9v3QKQdY4ZFYUsoSWJTDI2RaYTd0E+MR1erkVhA7SzgcfbPQxQIcBFj/GYNk8i32dgjxqvtZHh+\ns7Z8vuchHVIL709GosZowG/XL2FYrbr49erZSqPtiVs1+PTkEXx28ggrslX1R1fVP90xKASXjcnc\npHM/AsAdcOBBgIMsOvDAw6KmUX0e7SjajqLvl+P4QYbtjuSNLTMhFZsQ6SXGNJvWjBlH8nDr2iGI\n2g63IdRSVhYron5UmXJ1J7V+RBifenUZUjIL4S7P4x1FGj0TSFUsLsy8bYah0ahBQW4m3Ny9qlUV\n83KzuMPbVlWW+9UEwgC19LhwRQrQqm0zq6ll75FYNKpXx+5j21MVCcaU8mP9v6IqUnPLJ5t3Y/uF\nqxw3Q+SjZ51aeKpVczQNDoSHk2B4KFBrcOv4GUTrjPg25igmbN6KjjVCkVOixr64eB5Hf9W7l/1s\nxUOJdiNhpu4SdhNpz3D1zUtwkpnwdW8ptt0wYF+8oCqSuYkc2ZbcRAoLL9CIMLdzH7QJCMbtYOl6\nJvc0OYItsTq2oKNacd7AlXfhHmIcTjJixCqB5JPzmWKCuteUoJ6fpFJwNwVc02/d6XRDJUKcpTLx\nDiZh4sEdTGgfqV0PnYJCqwzuvpqXw0HgSaoCu/V/xNdHb9CgRZAIC4c4V7sbaRnJpxQXIb64ADVd\nPaA3m3AgNfmeB4A74MCDBMcY2oF/DLRjmJsdd0e7hn+n4/jfAMuOZETdzqjjI6sUYXJ8rBK13XQo\nPLCYCXVx7DpENeptVRUJ1AFdO+z2Tk2LqmgLqvVzcvFCYGiUlShaEFkr0GqEsQchw1ACD2//alVF\ng0GHsBB/iMXldzSlPiEQDSobF4v3ihEaIpCcXQeP8Aj6uVGP3rGqmFdUjGupWcgXO/9lVdFS8Ref\nfoNDt2lXj1Ss1PxEvLp+M/LUZasDpsvXUa9xEzzXsjk2PPEoE8Vr2TlQ6/V4r1sXrH70EfiTUaYC\nnpF5IaVAVGkc2maBClklZjwe2QATGrbA4h5D2Pn75i4ddt0y8k6il9wJ3rJAqzuYPgcogvFb72F3\nRBRtFbZw5zCcSjNbW2iIOP5is59IYfC0p5lSZEKUtwhjmsuQ+pork0TCkrOGSgrc/uQEfHA8mq97\ndoMWrRcU47fzepjNZnZO0zFvuGpAqKsbRkTU433OyUd24+uzx/g2BPpsuUxqXkqJ4CY/lp5qd7Tt\noRS+PpNuRo3ScXlV42PaPZwaswcP71iDVw7t4s+zz8fyG2m1v+93GQDugAMPGhzKogN/Oyq2j9CI\nmZTD6pzDf6fj+N8CItlx16KxeKj9cS85cEdvOApd9msQa4rRbUDlPcHqYE9VtIW9Wj8ytqxePR0w\nU6hy+ZEngY0MMSa06zaUVUV7uYq28PDwQo++g3HoeJmqrBbHwhwg7NjhJlDDEIplK1fjyOFD2Hnw\nCEYOG4wnurW6rap4Izkd7/y0FBsPnWAnNIV0UwA35SpSXM6dqIoVx8+fbtmDIBcDYsbaqbxbqMaX\ne6PxwyNDkHfqfDnTCplZXmnblr+2dD87yezHdoQqnLC459BK49CG3n4wIxOj6zWx6wTemxyPX66e\nx6xOfXE6Kx0nstLZzNI9NPyOHMG2sL3v6cf242J+GjrXEP5QsTxnCgl/Z6+WR9REJ3VGcEMLZT02\n9hfj+6M6HmFbguJz1GZuPEktKcb4Bs3x67VzuJZj4qrErTekOJps5NtQ9uPsTn34GOi57kqKw9vH\n9sNNKseFvCyczBIMTe4yMvtorC019Nme+vfHRT3q+4pxOdvEXd1eThK74+OKDS5lDu00yCVifHxQ\nd88CwB1w4EGDgyw68LfCXvsIqUY0YqbriRBWRxhJTbvXDS7/VtA5oD246sZfpLCE+NREn4c/5h3F\ne6Uq2gMRxXnvdYZB4Qb3rs/i5tGVaP2zGtM6Sq0jT3JMp2qcMXnSF7dVFS0B3K++Pg2xj/RH1vI3\n4dx6KAqb/mG9veygnFXMeYuWICo8DL/M/AIP9esFUUFGtarirUIdur4wDYFOOiwaUvbG/1XMOfQ6\nc4lzFSPuQFW0BVf8XbjK92d3d62DFGM33uDxMyHDyxffbtuOPbfimfCV1iALHcwiEY+byfBi2WMk\nZEWfs0sESbU6kZWGszGZHHtjCyIp9EF9z1qjAc8f2MaEykkihd5kYlXuoVpReKNZW+6KJtje7+1I\nTmxmGobXl2DHTQNUOjNcSp/7ust6JpDbrhuhlAFD60p5BJ5abMKB0S6870h5jGNbyLkNhYgl/eS8\nLv3gqVCib43aTIj3Jidw5zWhhW8A3m3VqdxouHdYLXZv/3zlLNr6B2N8g2ZYfOUs1CaBKJJD/EiS\nEXvjjUwMLaNt+rex6LSeDTjPtZTheq6w4xlzhmoSRTw+p/Hx7uR4vt+KDS4E2xE6KZ+WbmjL7zsR\nRTLFfNLd0Q3twL8bDrLowL8uL5EI4v8zSbSgQON9+9xDsRhDn5xTafx8P1TF7SveYaLo/6Tw2jpH\ntUfygcWsbtIbM8WMdOgxDK9N+gLBNSKrVBWJKNqiRs3aWLdpB76c8RF2psyCubUwYgzKDsDGX5eh\nds1w3lUkcFyOnQDuiqriu/OXMVGMGaOs9MZP7tb3V2zgXMULianYtP8EdHJnNK9ZiD5N6vE5tacq\nZherWKG8Xd807SnSuXh27xrOS5zRU4YZh3QIchNjakfb6rwkjFyTihXDh5cjjM51oioRQUI9Tx8m\nW9FpSegZWvaHgQV7UxIgFomRXqJCcx9/nM3JLG0TB9bFXWMn8HP1m2HVzUvYl5LI36PfAlIeK5o9\nLLCYUSa0kmPTNQMm79Dgx4FKVmnzNUDLYBEOJAAleuCPCwb4OCnh76LjXEUfJ7qN8FouPauHWg/e\nPSSiWJEQP7ZzHXI0Gkxr0YGDwm1BXdZxhflQSiSY26UvB3fX8gJixrrii8M6fH5Yh6sTXdBhUQk+\nO6TDnjgD6vlKOB/xSrYJr7WXY/1lHYwmoNPiEm60oUgjC3n/7NQR/kxf0ni9KhMLjfR9ZEEYsyHF\nqvaSokhE0ZGz6MC/HQ6y6MDfnpdIimKVeYnbZvHt/qtk8F6poinZgFzpgbqN+uCLI3u5m7ni+Ivy\nEKMa9SlHFC2416qiupgc0BvgbeNalnkFw+eh6fDUFKP4zDYURC/DpHd/Ljd+LirIQ15uJlzcvREW\nWLb7aFvrR6hZqza+m/k1eqw9gXR1GqQiCVaNXojafmWEzZqrWCGAuyIKRHJsiD5epQL4Zgcpxmw4\ni+Gfz8OO0xcR5O4CN2dnfLV5L2r6eWP+gI5o4FfZKUxB3JZ4mir7psW0uybHZzfjrcHaz25QI8Rd\nzLEylRUrNYdwf9+/n1VVrArBLm7oElwDs84fRwMvXwS5lMUF7Uy6hYNpSaxYFus18HQu4dBuP2cR\n3tunZec0qY0ns7bzc7CAPCMnshLwzN5U/NJjCJMeIpVpqmJuJglypucs4jagFcOd8NhqNRtpHm0g\nBTUnLzwl/BFAkTVDa9ZhowmNcpvPE7qsZRLwvuU7+7RMoEdE1Mfc8yeRq1Xz8xkUHgmdyQiT2QyK\n9h6xc10lt/IfNy5DIZEwabbE7tCY2E0hxjtdFPjppB4rLhhw8FlnNPpBxeNmynts4i/GyEZS/HZB\nj/gCqmikoHIxq54UVt7sJxWyVGY80YiUcTE3z9j+IUANNTS2pm51Nm2ZzXi5cRt80Ep5x6qsAw78\nW+Agiw48kHmJ/zWy+Gf2NG+HyJou8HZ9C8tnH0HbhRruZraOe4+YkKhSYtSAt8r9zP1SFckBTa+d\nvddWonSFU62WyD/wi9UBnZZ0A9/Pm4pDe4R2F1LruvUegucnf4CwcMsAWAB1QBOWX13KRJEwKvIR\n1PcTFDaLqigczO1Vxcy8QlYAN141YPEZPbydRBjZSIah9aRM5oQ3fuDYtTiseHoQ+nbqwArujfQs\nvPLrWoxctQv7p76Iir5yCuLuXSMYXx7JtL+7dsSAbgFCNA8FaxOhIQVr3WUDm2HsK1Y0uo7nvcaK\nqqI9TG/RARMObud6vB6hNZnMEQkkFTHAyZlJl4eTFttGObNy1m6hCnIJ0DxQhNPpgspnMax81kPO\nJJbyFK/l6PH+8YMQQcT3ZUGEuyea+Pjhy8M5PJ4lc8vsWB3H9ZBSqDcBUZ5eeCqqEd+eyNP8rgPx\nwsHt9CcGXtkuPC96henRXz60C0HOrghzdcOB1ET8dOk0FGIxJGIjHxN1aKv0ZsRmJuCJXUlo4u2P\n2NIdRY26BFNj9paL3aFxMjXV0O6jn7OY1cO6PmKcSjPhXIYJa68ADfzEcJKaMaOnAq/t1GLeCR1m\nxepBWegfdVfgwwNaTO/sgul7dfyHAI3Z39qt4RG64HYH507SI1oIooMkOvBfg8MN7cDfhqraR/7r\neYn3uteaVEULyoVrb7SEa+v4a7redk/xfqmKFgc0vXbVvbZiiZQd0PFx1/D22LbIPlfW7kKf089s\nxfOPd0Nexq1yqiKhqDgFP5yfy5edJE6Y3GhCufu/U1WRHNCLN+/myzHJRkR5i7nXd8QqNXr8UsKX\nt14XGki+HNQJ/bt0YqLIzzHQDwv7toXeaMKKY6cr3Xfh+Yt4a1A/DtcmM4utU5m+pusn1Y2Cyi/A\nSmhImSLCcbvR9Y3oyo9nD9QJ/UuPQZjctA3SS4pZTSTzygetOqHEoEeWRo0beSYOxO66RMWmExoF\n600ihLiJMK65DIuHKuAiB97dp0P7UAkrnmHuIpzLyWJlcFitKLzUqCW+aNudH+9MdiYuZxt5H/F4\nqhHjW8o5U9FDIYKcSHZBPqYd3Y/N8dex7NoFTD26D/lagSSSAjqxUQs09fFnsiiGCNNatMcPXfph\n68DHUNPNA2qjESo9IBUD0YlGJthNA8XQGE1s0qHrLaCvibwtOaPFj8d16LNUhX1xBpxNN+JIkoFH\n6wsGOyHrTTdcmeiCzDfc4CwT4fFGMnQOl7Jj/MWtWrjJgZhxLnijgxzOMrBaOqy+FB8f1KL9zypc\nzTHZuN2VKNKRMinm8+OAA/9FOJRFB/42/L/mJd6PXmtSFS0gQvjQ0/OgLing0G1LS0tF3C9VMdiX\nfsYLLToOxYVY+6+t6vg6dkDLnT2w7MOxCFGUcJtL+bGrGe0WleD7L97Ftz+uKKcqzr84H3naPL78\nTK1HocnRIl9UAC+Rzn6tXxWq4tr9R/Hd75vRrGYw9CUZ+Kav0J98IF6P5zZr8cIWNXbfMkEhk+Kh\nxpWzGt0Ucgxu3hA7L17Hyz07lSOKhJreXlj77Ch2PY/ZcEPYXROL0KduJD5rEIAaLs7QcrC2MK4e\nHCW7o9G1l1R+W1XRAiepDI9E1OMPUhK3JtzAjNO0d2eCpxJYMEjBAdyTtutYXSSlbdUIJzT8QYXe\nEVI82lCGYDcx+i5Tc2D1zqdcOBuRQCNo6jum3mr6LBOLmEyROhvmIbJmLtKr2j4wGCt7t8OF3Gz8\ncfMyPj11BAqJFC18A3GrMB+Tm7TBqKiGfF8rrl9CQy9fXMrLxpSYvfit91BeNaBdRCKDROJ61BSj\ncYAUc47T4ws7hWQGsrQhLhyshFQCfHRAi++PGaCQGNAuVIISg+C0Hvyb8MeH5VyT65lAfyAEuQrd\n3PRa0PEToaS9SgI9tyIdKY9KNPqhGLW8yq8M0IjaSynCk2vVeHL3RkR4eKFPWC0MDq8DF5mMW2KK\n9Xo4S6VWA5ED/00kJyfjjz/+QHFxMXr27ImOHTtWe/sLFy5g586dXG7QtWtXtG7dutz3add7+/bt\nOH78OGrXro3HH38cUuk/Q9scZNGBf7R9hEbPpDoRUfwv5iXe6z1NW1WxIogg2iOJ91tVtOCxcZ/h\n8ksdkbnsTbi2KXtti4+vg0xbhDGTPkdxYR6OHdhQbbvL2E1bkJ+ThqAAQWHOKriJxZcX8mWZXob5\nz/2KeepfeHQ9sEdnfPTWa4gIr1FJVbQQRVtVcdaqLRjSuiE+fWIAurw7G2HfFTNZsBCc5ecNUEjF\n8HVRYG+mCqs3rUSeqgSRAb4YEeqDen5ecFUoUKLX40ZmNu8p0viZIA+rhbwSNQ7ejEe4lxfe6N4J\nbWqEItLXm4O4KS6nJDAY82KPM8kZt1GDnrX1aBdKzSraKmJXDOjk7gU3O28Qt3MsZ2tKMPnQblzO\nz2HCJReTigiMWC24jknJo+OY3E6Gt3ZrueXloXrC47QMEl7vPXFGXMs2WkfULzVsidH1m3C+4bj9\nW3A5LxvNAil024TdTyuZPJ5ON+KtXRomrTXcPPhjgM1qARlGarl5YGSdBvz1tYJcjriZ37U/NsVf\nx6/XLmDY9rXW2we4AClFwM9DnbnD+oVWckTOLmZyajKZkVwE7piesEWDwVESVgrlEjM/QTKx9Kgl\nwZONJZi6W885lB/uLx9x09BfjJ23DFh3RYR2ASE4kp5iJZTXcoyIzzejkb9gyKGx+rROZb+79GY+\neYcWM4/puBP6eo6eR/+zz5/ASiLA3n6IyUjh10oulqBXaE2Mq9+Uz4kD/y2cP38enTp1Qp8+fRAS\nEoIBAwbg/fffx2uvvWb39h999BE2b96M7t27Q6VS4eOPP8brr7+O9957j7+v1WoxZMgQxMXFYejQ\noYiOjsbvv/+OTZs24Z+Agyw68Lfi/y0v8X7sadqqineKO1UV7RHF26uKAgJCIvHmN0ewfcXbiN02\ni58XjZ5JUSSi6BNcGykJV2/b7mIwapCTk20li7PPzoK6dCTtE2vEF31to26OoNcjp7B70feICLMf\nKk2qIhFF+uv92KVrWDDhUYjcvJkdBrmJMLOfcH80pqQRJFV6pBSo8PisJegQVQvhvl7Ydf4qftqT\ng/Fd2mD50dMo0enR6Ysf2fXbOywIr7dshCPHT+PTXQd4HFnDyxOJefnQGYx4pUt7jHJxQaKqBM//\nvoobWtwVlDtoxoF4I5stFBKg5U9FmNhGgY5hElzMMjFRpNH19PCa5VRFyvubc/449qcmsXJpr56O\nFMWx+7byKJpAyhx9eCiAAm2ZKkcU8L39OhTS+H2kM+Sl7paTaYJcR7f56WSZO33p9XPoGVYTxXod\nLuVm45V2Mnx3VBjbP79Jw2Niyx7frfwEXM7NRn2bfmnCrYJ8tPIPsjauFOt01lo+yk2k0Tk1o/Sp\nUQvvHDsAJ5lAbemcEfQmss4AyQVmfv3oe3T+3N1EWHulQjC2CdgbZ8TBeBO6BIfhCnKRXFhSLuKm\ntqcIf1w0wVkqwfJe7TDhwFbMOKTFgDpSvLpdi3APEfpHUi2hic+H7e/uHxcNmHVMh5XDnVDXV8xr\nIIPC6yBfq8axzHQkq4qYmDfz9ef4nZ1JcXh23xYmxqRA3m/cTQSSA38Nb731FhPE3377jb/u3Lkz\nnnzySYwZMwaenpVrVIcPH24lhoS2bdvixRdfxDvvvMOrL5999hkrlWfOnIGzszA9uX79+j/2MjnI\nogN/O/6reYn2ns+97LWuTlW8E9yJqmgP9lRFIooVUaQRoXHDOmj86SpWENMzMyGVyeGu1MPNU+g3\nrhnqz4pgtWNXiQRhwf78dXz2efx+fSVflhUB51s5w5ckMpvRdftFGnwwZyFWzPqikqpoW+tH5EQi\nEkOjN+DdJasQQuHZY8rGiaSsEVmUic3QGoH6wQFY9uJT8HJ1RtHli/j68BnMOhjLt/20hxwD68hK\nI24yMGxzJop1BrzcuR361auD2dExuJqRxTtyX+8/jO2e7jBIZfBQKJFRrEIUmywERZNAj3ctF2WG\nDxHQs1ZNTPfx5hBuC6oOhhbq6RZ0G4RwV3fMu3iaI2Xa+AdxDmIDXxGP3D85KOxRkvmE3L80zo3w\nEmPR0LKxq8Zg5lEuKWW38sw4miKYS4gMSUQmfHUmBhdyhOf2VBMZZxUSAU0rFvb4rJWT0Tq8dGg7\nlpS6qC1wlkmRrS6xkl6K6SE8vUdQTOiUJBQVwCQyoYmvPy6QKUpONYGW14k2G4WQbXoOzQPFaB0s\nwU+DnfDuXg3H5VCBC/VTL+kxCK4yuZUs/XjhFDYn3ICPzKtcxE24mzsSigrx+akYdAkKx5pbVxD8\nTTErsvMGKbH8vB6fHBQUWdvfXRqJkxr7WCMZ76bStdNj90Em0XMEj8YAfNFbjsWns7HyRh5+6joA\nH584jC/PHMVPXfvjfuFO/qBw4M6htmleItAoWGYTmm80GrF3714rUSSQKkjK88GDB/lyRTRs2LDc\n13QfRAotO9JLlizBlClTsGHDBiaJDRo0wLBhw/6xl81BFh34x/BfyUu8ndP5Xu5pPiiqIsFWVayI\nosIcrPl5Gk4dLnM7t+06FBOnfI7OPYfiy5gtduN+qN2le69+8Cj9S/y7M9/AYBbiV0bnyuBbQ1w5\n6qa9BGM3HUVeQRG89IVV1voRWezdNAq/HDyNE9duYXEFB/KSM3q4yoU3eLo2V1WCJlM/x5CWjeGk\nKcFvF4S+6DreIrzdWSDeRBqG1ZPC7+tiBLu74eEmDfDw4uUci0PRNEScXtqqxrGUQh5hPteiGW7m\n5XDuIBGrfLWZHbgWvNVJhk+j9ZBLpFDp9FAoxZBHRFq/by8YmnbmaO9y0jYNu6AldPQi8I4c9Sw/\ntH01pnZSoF+kDF3CpWg2T8WmmTreYlYCKbB6xXkdutWUcrA0jVTj88k9LGIidibdxOSV9hzf7iTF\nlN2piPAUQZUPblUhcwfx9xPjXe2GVdMxU16iBb1Da+HTk4dxMjsNYR4mfN5LzmYaIq40Rt54zYiG\n/iIcTE0u+33SAe/tVePhBnL+g4KqBWkXkfYYF50xYnpnQTULdBXzDiWRRfqZGq7uTBI1BgPmXjiJ\nFdcuQmsyIkOtQkvfQAytHYVOgaF8m0NpSfj9xmXsSo5jUq8x6KE2GPHMeg3/Pvg7OaG5rxs7vy1j\n7JOpRswZoLQ2tXgplfBx1iJXI+LxPuVn1vSQIPY5BRuAKNaI2mleObyLCd39IG63+4OiYt/1fwlq\nvRQmyb2jNVq9cF8+PsIfuxbQePmDDz6wfp2TkwONRsPjZwuITPr7+yMlpbLRzoJz585hxYoVSE9P\nx+nTp/kyP65Wi8TERPzwww+IiopiYvnuu+9i7ty52L17NySSv3/31eGGdsCB++x0vhe91vdTVazO\n1EKqor3xsz1VMdBLIAppyTcw/bk2KLlW3u1ccGkLJj7RFv0feQ4pGme0W6Qt7xhepEWq1glvvSP8\nT/h82hFsji/dz8kEJshl1YyuTcjKFQww9lRFgjElDq8N6ooT1+J4nFjLU3geRJyWntVxRMqgOoIj\nltStZROfwtQhvXAzMRmxKRlQ6/QYUV/Capule5hAqprWAKQXFeHTXfuF/MSxTtau7k97KpkoEjZc\nuYJILzGOjnNhB+6MwzqMbCzDZz2F1pVNVw08wq3v64sjySkYfukE+m1eydmDGSXFnCFYsd/49Z1a\nPLdJw6SRntGIyHqsJpUYDIhOT+LnYhmd0j7fC61kSCqka81YMFjJ5+LDAzrucX5+s4YVMR+lCAkF\nZo6YIfMHjXtD3cCVdnT7dmES1PcTY9I2LX/9WCNplWHVB1KEyjwLyPxBRhe1QY/3usp5r7C2l0B6\niSjSvSQVmBHoKtxfvwgJn5OPo/WC23+9BuZSnYOIIhHZ6EQDu7r7RUpRqBVMKm5yOZNAMtC8fGgn\nVt24zGsD/WvUxhftunOG5IfHo3GuNAqoU1AYZnfug91DRmLX4CcQPexpbOj3CGZ26o31/R7BloGP\n491WnbmRxdLLTcrmrpsG/jq5QMzB4a93kPNuJEXyEJxkpfWbneU4mpGKGm4CUUtVCSsC9xq2f1DY\n9sVX1XftwO2Rk5ODkpIS68f06dPLfd+yUmH7/wXL15bv2QMRShpRe3l5obCwEHv27OHraWWGQERx\n3bp1+OSTT1ihPHbsGLZs2fKPvGQOZdEBB/4Gp/O92NO8X6oioTpV0R5sVUUiirZY8eNUhDpV7Xbe\nsmo+Fq05jLlfTceYjYLySKNnUhS/ePM9DuAmfH3qS+t9iveKcKGeCS0CUcXoWgw/0KioLIjaVlW0\noGPbNpgzSYMXZy1Br6UlaBEoxvVcM7tlaVewT20JVl4UCBuZWlrVroFnw30RL3HhHcX6fhKIr5b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loQFBaJD2euRlFBHjIzUxEe4g93Dy8YDDassoKquOTKYmSqhd3A0XUeR4R3zXLjZ+FghN03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\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GHsBt3BFMUTHU3Tx15UVRw0hLzOQcPtexHZalJVe5/O2hDTtnkWEYxhZYLDINhobuKuoh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\nTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "x1_min, x1_max = X[:, 0].min() - 0.5, X[:, 0].max() + 0.5\n",
        "x2_min, x2_max = X[:, 1].min() - 0.5, X[:, 1].max() + 0.5\n",
        "x1_grid, x2_grid = np.meshgrid(\n",
        "    np.linspace(x1_min, x1_max, 250),\n",
        "    np.linspace(x2_min, x2_max, 250),\n",
        ")\n",
        "grid = np.column_stack([x1_grid.ravel(), x2_grid.ravel()])\n",
        "probability_grid = model.predict_proba(grid).reshape(x1_grid.shape)\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "surface = plt.contourf(\n",
        "    x1_grid,\n",
        "    x2_grid,\n",
        "    probability_grid,\n",
        "    levels=25,\n",
        "    cmap=\"coolwarm\",\n",
        "    alpha=0.75,\n",
        ")\n",
        "plt.colorbar(surface, label=r\"$P(y=1\\mid x)$\")\n",
        "plt.contour(\n",
        "    x1_grid,\n",
        "    x2_grid,\n",
        "    probability_grid,\n",
        "    levels=[0.5],\n",
        "    colors=\"green\",\n",
        "    linewidths=2,\n",
        ")\n",
        "\n",
        "plt.scatter(\n",
        "    X_train[y_train == 0, 0],\n",
        "    X_train[y_train == 0, 1],\n",
        "    color=\"tab:blue\",\n",
        "    edgecolor=\"black\",\n",
        "    label=\"Train: class 0\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_train[y_train == 1, 0],\n",
        "    X_train[y_train == 1, 1],\n",
        "    color=\"tab:orange\",\n",
        "    edgecolor=\"black\",\n",
        "    label=\"Train: class 1\",\n",
        ")\n",
        "plt.scatter(\n",
        "    X_test[:, 0],\n",
        "    X_test[:, 1],\n",
        "    facecolors=\"none\",\n",
        "    edgecolors=\"black\",\n",
        "    marker=\"o\",\n",
        "    label=\"Test examples\",\n",
        ")\n",
        "\n",
        "# Draw the unit normal vector from a point on the boundary where x1 = 0.\n",
        "normal = model.coef_\n",
        "normal_unit = normal / np.linalg.norm(normal)\n",
        "boundary_point = np.array([0.0, -model.intercept_ / normal[1]])\n",
        "plt.arrow(\n",
        "    boundary_point[0],\n",
        "    boundary_point[1],\n",
        "    normal_unit[0] * 2,\n",
        "    normal_unit[1] * 2,\n",
        "    width=0.03,\n",
        "    head_width=0.18,\n",
        "    color=\"black\",\n",
        "    length_includes_head=True,\n",
        ")\n",
        "\n",
        "plt.xlabel(\"Feature 1\")\n",
        "plt.ylabel(\"Feature 2\")\n",
        "plt.title(\"Predicted probabilities and the decision boundary\")\n",
        "plt.legend(loc=\"best\")\n",
        "plt.show()"
      ],
      "id": "45ce0b0d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The sigmoid acts on the linear score $\\theta_0+w^\\top x$. The signed\n",
        "distance to the boundary divides that score by $\\lVert w\\rVert$; the two\n",
        "quantities therefore differ whenever the weight vector is not a unit\n",
        "vector."
      ],
      "id": "af487c64-64a3-43a4-99c9-c3d2c54a2838"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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NqPLfkpKSIrSlzkA7AYTLhoMb5MLJF0pmtrOHxwlOAFwRmMqUKXPG8J3eL1u2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\niCMYAZ4MTo899pjUrVtXvC6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          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Decision boundary: theta_0 + w^T x = 0\n",
        "w = np.array([1.0, 2.0])\n",
        "theta_0 = -4.0\n",
        "\n",
        "# Two points on the boundary\n",
        "a = np.array([0.5, 1.75])\n",
        "b = np.array([3.0, 0.5])\n",
        "\n",
        "# Unit vectors tangent and normal to the boundary\n",
        "tangent = (b - a) / np.linalg.norm(b - a)\n",
        "normal = w / np.linalg.norm(w)\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(7, 5))\n",
        "\n",
        "# Decision boundary\n",
        "x1 = np.linspace(-0.25, 4.0, 100)\n",
        "x2 = -(theta_0 + w[0] * x1) / w[1]\n",
        "ax.plot(x1, x2, color=\"black\", label=r\"$t(x)=0$\")\n",
        "\n",
        "# Position vectors from the origin\n",
        "for point, label, color in [\n",
        "    (a, r\"$a$\", \"tab:blue\"),\n",
        "    (b, r\"$b$\", \"tab:orange\"),\n",
        "]:\n",
        "    ax.annotate(\n",
        "        \"\",\n",
        "        xy=point,\n",
        "        xytext=(0, 0),\n",
        "        arrowprops=dict(arrowstyle=\"->\", color=color, lw=2),\n",
        "    )\n",
        "    ax.scatter(*point, color=color, zorder=3)\n",
        "    ax.text(*(point + 0.08), label, color=color)\n",
        "\n",
        "# Displacement from a to b: b - a\n",
        "ax.annotate(\n",
        "    \"\",\n",
        "    xy=b,\n",
        "    xytext=a,\n",
        "    arrowprops=dict(arrowstyle=\"->\", color=\"tab:green\", lw=3),\n",
        ")\n",
        "midpoint = (a + b) / 2\n",
        "ax.text(\n",
        "    *(midpoint - 0.25 * normal),\n",
        "    r\"$b-a$\",\n",
        "    color=\"tab:green\",\n",
        "    ha=\"center\",\n",
        ")\n",
        "\n",
        "# Weight vector, drawn from the boundary\n",
        "normal_endpoint = midpoint + normal\n",
        "ax.annotate(\n",
        "    \"\",\n",
        "    xy=normal_endpoint,\n",
        "    xytext=midpoint,\n",
        "    arrowprops=dict(arrowstyle=\"->\", color=\"tab:red\", lw=3),\n",
        ")\n",
        "ax.text(\n",
        "    *(normal_endpoint + 0.08 * normal),\n",
        "    r\"$w$\",\n",
        "    color=\"tab:red\",\n",
        ")\n",
        "\n",
        "ax.axhline(0, color=\"gray\", lw=0.5)\n",
        "ax.axvline(0, color=\"gray\", lw=0.5)\n",
        "ax.set_aspect(\"equal\")\n",
        "ax.set_xlim(-0.3, 4.1)\n",
        "ax.set_ylim(-0.3, 2.8)\n",
        "ax.set_xlabel(r\"$x_1$\")\n",
        "ax.set_ylabel(r\"$x_2$\")\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "db705c3f"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "path": "/Users/turcotte/.virtualenvs/csi4106/share/jupyter/kernels/python3"
    }
  }
}