From 322e13792f67f9c1c7534206ef5fedfd0d07906c Mon Sep 17 00:00:00 2001 From: Gilles Louppe Date: Sun, 6 Oct 2024 14:39:48 +0200 Subject: [PATCH] nb03 --- nb03a-plots.ipynb | 205 +++------------- nb03b-visualization.ipynb | 391 ++++-------------------------- nb03c-high-dimensional-data.ipynb | 146 +++-------- 3 files changed, 108 insertions(+), 634 deletions(-) diff --git a/nb03a-plots.ipynb b/nb03a-plots.ipynb index 3c1b6b8..deeffae 100755 --- a/nb03a-plots.ipynb +++ b/nb03a-plots.ipynb @@ -48,21 +48,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "79ee7eaf-7665-4024-9654-467a1ab79723", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# MATLAB-like interface\n", "plt.figure()\n", @@ -77,21 +66,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "a0b52969-a87f-499d-ae0c-de959b9c2e39", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Object-oriented interface\n", "fig = plt.figure()\n", @@ -113,21 +91,10 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "6824250a-eda4-498b-b8ed-0d1472e3ab94", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Multiple plots\n", "fig, ax = plt.subplots(1, 2) # this creates two Axes objects, one for each subplot\n", @@ -148,27 +115,16 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "0480074f-942c-49d3-b2cd-566a0c0bcef7", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Line plot\n", "fig = plt.figure()\n", "ax = plt.axes()\n", "\n", - "x = np.linspace(0, 10, 10)\n", + "x = np.linspace(0, 10, 50)\n", "ax.plot(x, np.sin(x), label=r\"$\\sin(x)$\") # check ax.plot?\n", "ax.plot(x, np.cos(x), label=r\"$\\cos(x)$\")\n", "ax.set(xlim=(0, 8), ylim=(-2, 2), xlabel=r\"$x$\", title=\"a simple plot\")\n", @@ -187,21 +143,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "4c27e250-ec88-479c-8aee-b68bcd5805df", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Bar plots\n", "fig = plt.figure()\n", @@ -223,21 +168,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "fe167a47-1e88-4408-8323-5e819f507c17", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Scatter plot\n", "fig = plt.figure()\n", @@ -260,21 +194,10 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "0cbaf80a-e133-474f-ab59-7bfde2ccf921", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Boxplot\n", "fig = plt.figure()\n", @@ -295,49 +218,27 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "a62ff317-d6b9-48a3-996c-d5c5e53680ef", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Histograms\n", "fig = plt.figure()\n", "ax = plt.axes()\n", "\n", "x = np.random.randn(500)\n", - "ax.hist(x, bins=20, range=(-10,10))\n", + "ax.hist(x, bins=30, range=(-10,10))\n", "\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "bf75da75-bee7-4e1b-916b-2ac247bb614c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", @@ -363,21 +264,10 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "8c5c1ca6-12d3-44f0-bb0a-bc1d1ed74c38", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Error bars\n", "fig = plt.figure()\n", @@ -395,21 +285,10 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "235b1c24-042e-4b76-ae44-bd98852123cd", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Arrays as images\n", "fig = plt.figure()\n", @@ -428,21 +307,10 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "id": "1f610824-cec6-407a-b1a5-1a0a845be7c7", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAewAAAGiCAYAAAAlePV8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAABED0lEQVR4nO3de3gUVZ4+8LchpIOQREFyMyQgy0UuIgKSgALKEoyKsIjgZSEsjqMrqJjxp8TRSVgdAuooo4x4WQwoKjyz4baLF8IjCSIXQRJkEAE1koCJoCtpAtIBUr8/2DR0+pKu7qruOue8n+fp56E7VdWnq8/5vnWqummbpmkaiIiIyNJaRboBRERE1DIGNhERkQAY2ERERAJgYBMREQmAgU1ERCQABjYREZEAGNhEREQCYGATEREJgIFNREQkAAY2ERGRAHQFdmFhIQYPHozY2FgkJCRg/Pjx2L9/v9symqahoKAAKSkpaNu2LUaOHIm9e/e2uO3i4mL07t0bdrsdvXv3xqpVq/S9EiIiIgs6e/Ysnn76aXTt2hVt27bFlVdeif/4j/9AY2Ojru3oCuyysjLMmDED27ZtQ0lJCc6ePYusrCycPHnStczzzz+Pl156CQsXLsSOHTuQlJSE0aNH48SJEz63u3XrVkyePBlTpkzB7t27MWXKFEyaNAnbt2/X9WKIiIisZv78+Xj99dexcOFC7Nu3D88//zxeeOEFvPrqq7q2Ywvlxz+OHTuGhIQElJWVYfjw4dA0DSkpKZg1axaefPJJAIDT6URiYiLmz5+PBx54wOt2Jk+eDIfDgY8++sj12M0334zLLrsMH3zwQbDNIyIiirjbbrsNiYmJWLx4seuxO+64A5dccgnefffdgLcTFUoj6urqAAAdOnQAAFRWVqK2thZZWVmuZex2O0aMGIEtW7b4DOytW7fisccec3tszJgxWLBggc/ndjqdcDqdrvuNjY343//9X3Ts2BE2my3Yl0RERBGgaRpOnDiBlJQUtGpl3serTp8+jYaGBkO2pWmaR97Y7XbY7Xa3x66//nq8/vrrOHDgAHr06IHdu3dj8+bNfjPO1xMGpbGxURs7dqx2/fXXux77/PPPNQDakSNH3Ja9//77taysLJ/batOmjfbee++5Pfbee+9p0dHRPtfJz8/XAPDGG2+88SbRrbq6OshUatlvv/2mderUyrC2tm/f3uOx/Px8j+dtbGzUZs+erdlsNi0qKkqz2Wza3Llzdbc/6Bn2zJkz8dVXX2Hz5s0ef2t+xKF5OQoJdZ28vDzk5ua67tfV1SEtLQ2l2zuhfftWWH2ifyAvQ3gbf+oR6SaQD1U/Xh7pJrQoLeXnSDeBfLgx8UCkmxA242N3o76+ESOHHENsbKxpz9PQ0IBjxxpRuj0B7duHdia2vl7DyCFHUV1djbi4ONfjzWfXALBixQosW7YM77//Pvr06YOKigrMmjULKSkpyMnJCfg5gwrshx9+GGvXrsWmTZuQmprqejwpKQkAUFtbi+TkZNfjR48eRWJios/tJSUloba21u2xltbxdtoBANq3b4WPtUGIaR/wyxFSSW0vAEBUuwg3RHE/HO7k82+t2oaxIUE6/Guqz791ST0WxpZQc5/V9wMAjE76JsItMd/H2iDc3H4nAM/Jmxnat7ehfWyop93Pf8I7Li7OLbC9+X//7/9h9uzZuOuuuwAA/fr1w6FDh1BYWKgrsHW1WNM0zJw5EytXrsSnn36Krl27uv29a9euSEpKQklJieuxhoYGlJWVYejQoT63m5mZ6bYOAKxfv97vOr6oMLNuCmsKnx8Od/J6k5mKr9mKVBnvMtfuU6dOeVyXb926te6vdemaYc+YMQPvv/8+1qxZg9jYWNesOD4+Hm3btoXNZsOsWbMwd+5cdO/eHd27d8fcuXNxySWX4J577nFtZ+rUqbjiiitQWFgIAHj00UcxfPhwzJ8/H+PGjcOaNWuwYcMGr6fbVabKwI00hpJ/3vYPZ+Pmahr7Ksy2ZTR27Fj8+c9/RlpaGvr06YPy8nK89NJLmD59uq7t6ArsRYsWAQBGjhzp9nhRURGmTZsGAHjiiSfw22+/4aGHHsKvv/6KIUOGYP369W7XJaqqqtyONoYOHYrly5fj6aefxjPPPINu3bphxYoVGDJkiK4XIzOGtXkY0KFrvg8Z4OYoqe3F0BbQq6++imeeeQYPPfQQjh49ipSUFDzwwAP405/+pGs7IX0P20ocDgfi4+Px9LYsxLRvE+nmGIphbSwGdPgxwI0lY2ifrj+D5zLWo66ursVrwsFqyomdexNDvoZdf6IRg/r8ZGp7mwvpe9hkLga1MRjQkccZuLF4ilxNDGyLYlgHjwFtfQxwY/AUuVoY2BbEsNaPIS22i98/hrc+DG118Oc1LYZhrQ+/aiQfvqf6sW6ogTNsi+CACxyLuRo469aH17Xlx8C2AIZ1yxjSamN4B46nyOXFU+IRxrD2j6dHqTn2iZaxrsiJM+wI4qDyjsWYAsFZt388RS4fBnYEMKg9MaQpFAxv33iKXB48JR5mDGt3PL1JRmOf8sS6IwcGdhhx0FzAokpmYx9zx/ojPp4SDwMOlAtYQCncmvocT5XzurboOMM2GcP6PM52KNLYBy9gXRITA9tEHBQskmQ97JPnsT6Jh4FtEtUHA4siWR37KOuUaBjYJlB5ELAIkmhU77Mq1yvRMLANpmrnV73okfhU7sOq1i3RMLANpGKnV7nIkZxU7dMq1i/RMLANomJnV7GokTpU7N8q1jGRMLANoFonV3UGQupRsa+rVs9EwsAOkWqdW7XiRQSo1+9Vq2uiYGCHQKVOreJMg+hiqo0BleqbKBjYQVKpM6tUpIhaotJ4UKnOiYCBHQRVOrFqMwqiQKk0NlSpdyJgYOukSudVpRgRhUKVcaJK3bM6BrYOKnRalWYOREZQZcyoUP+sjoEdIBU6qwpFh8gsKowfFeqglTGwAyB7J1VlhkBkNhXGkuz10MoY2C2QvXPKXlyIIkH24Ja9LloVA9sPmTul7AWFyApkHmMy10eriop0A6xK5s4ocxGRhb0qOuBlnWkNJraEQvXD4U7oknos0s0wRUltL4xO+ibSzVAGA9sLWcOaQR1+eoI33M/BoA+fprEnY3AztMOHga0IhrX5whHORvLWXoa4uWSebZP5GNjNyDi7ZlgbT7RwDhRD3HwyhjZn2eHBwL4Iw5q8kTWcA8UQNx5Dm4Kh+1PimzZtwtixY5GSkgKbzYbVq1e7/d1ms3m9vfDCCz63uWTJEq/rnD59WvcLChbDmprYq6LdbuSJ+yh0Mo5PGeuoEbp06eI142bMmKFrO7oD++TJk+jfvz8WLlzo9e81NTVut7fffhs2mw133HGH3+3GxcV5rBsTE6O3efR/ZCwGZmL4hIb7LzgyjlOGtqcdO3a4ZVtJSQkA4M4779S1Hd2nxLOzs5Gdne3z70lJSW7316xZgxtvvBFXXnml3+3abDaPdcNFtg4mYxEwA8PFHBfvV546b5nMnyCn8zp1cq/J8+bNQ7du3TBixAhd2zH1P0756aefsG7dOtx3330tLltfX4/09HSkpqbitttuQ3l5ud/lnU4nHA6H2y0YMoU1/zOUlnEmGF7c34GTaezKVFdb0jyHnE6n3+UbGhqwbNkyTJ8+HTabTddzmfqhs6VLlyI2NhYTJkzwu1yvXr2wZMkS9OvXDw6HA3/9618xbNgw7N69G927d/e6TmFhIebMmRNS+2TqVDINdqMxLKyBM++WyfRhNCt/CG31if6I0dqEtI3T9WcArEfnzp3dHs/Pz0dBQYHv5169GsePH8e0adN0P6epgf3222/j3nvvbfFadEZGBjIyMlz3hw0bhmuvvRavvvoqXnnlFa/r5OXlITc313Xf4XB47Dh/GNZyY0hbG8PbN4a2WKqrqxEXF+e6b7fb/S6/ePFiZGdnIyUlRfdzmRbYn332Gfbv348VK1boXrdVq1YYPHgwDh486HMZu93e4o5RAcP6Aoa0mBjenmQKbdnFxcW5BbY/hw4dwoYNG7By5cqgnsu0a9iLFy/GwIED0b9/f93rapqGiooKJCcnm9AyeWbXDOvzeI1UHnwvL5BlfMtSb41QVFSEhIQE3HrrrUGtrzuw6+vrUVFRgYqKCgBAZWUlKioqUFVV5VrG4XDg73//O373u9953cbUqVORl5fnuj9nzhx88skn+P7771FRUYH77rsPFRUVePDBB/U2r0WydB5ZBnMoWNzlxff2PFnGuSx1NxSNjY0oKipCTk4OoqKCO7mte62dO3fixhtvdN1vuo6ck5ODJUuWAACWL18OTdNw9913e91GVVUVWrW6cKxw/Phx/P73v0dtbS3i4+MxYMAAbNq0Cdddd53e5vklQ6eRZQCHgoVcHU3vtcqnymX52pcK17P92bBhA6qqqjB9+vSgt2HTNE0zsE0R43A4EB8fj6e3ZSGmveen/xjW4mNQk8rBDYgf2gB8hvbp+jN4LmM96urqAr4mrFdLOaFHONrbnKnfwybjqBzWPD1KTVTvCyrXAVIksEWfXas6SFUvzuSbyn1D9Hogej2OJOkDW/TOIfrgDIbKxZj0UbWviF4XRK/LkSJ1YIveKUQflHqpWnwpdCr2HdHrg+j1ORKkDmyRiT4Y9VCx2JI5VOtLKtUJkjiwefQmBpWKK4UP+5UYWKf1kTKwRe8EKhw1qzYTovBTpY+JXi9Er9fhJGVgi0z0wRcIFYooWYcK/U2FukESBvbGn3pEuglBk33QqTLjIetRoe+JXD84yw6MdIEtKpEHWyBkL5YkBtn7och1ROTJVrgwsC1A5EHWEhVmNiQW2fukzPVEdQzsCJN5cMlcFEl8MvdPmeuKyhjYZAqZiyHJQ+Z+ytCWT3A/ykmGkHFAyVwASU78CU8SBWfYEcKwJrIWGfuvjHVGZQzsCJBtEMn+IR5Sh4x9WbZ6ozIGdpjJNnhkK25EgHz9Wra6oyoGdhjJNmhkK2pEF5Otf8tWf1TEwA4TmQaLjKcNibyRra/LVIdUxMAOA5kGiUzFiyhQMvV7meqRahjYFDCZihaRXuz/FGn8HrbJZDmaZbEKv9hDWovLnEi3haEl1MReFS3F97V/ONwJXVKPRboZpBMD20QMa7pYIAFs9jYZ8KFjaFOkMLDJL4Z1cMwIZyN4axdDXD+GNkUCA9skMsyuGdaBs2pAB6J52xnggZEltEkcDGwTMKzlJ3JAt4QBHjgZQpuzbHEwsMkDw9o7mUPan4tfN8PbkwyhTWJgYBtM9Nk1w/oCVQPaH86+vRM9tDnLFgO/h20ghrUcYg9pDOsAcV9dIPr4Eb1+qYAzbAIgfrExAoMneE37TvUZt+gzbbI2BrZBRD46VTmsGdLG4vVusUObp8atjafEDcCwFg9P5ZpP5X0s8rgSuZ7JjjNshYlcVIKlaoBEkqqny0WeaZM1cYYdIlGPRlULa5Vne1ah4nsg6jgTta7JjoEdAlE7tahFJBgqhoTVqfaeiDreRK1vMtMd2Js2bcLYsWORkpICm82G1atXu/192rRpsNlsbreMjIwWt1tcXIzevXvDbrejd+/eWLVqld6mUQBELR56qRYKIlLpPVJl3JFvR44cwb/+67+iY8eOuOSSS3DNNdfgyy+/1LUN3YF98uRJ9O/fHwsXLvS5zM0334yamhrX7cMPP/S7za1bt2Ly5MmYMmUKdu/ejSlTpmDSpEnYvn273uaFjYhHnyoUDZVCQBaqvGcijj8R65wV/frrrxg2bBjatGmDjz76CF9//TX+8pe/4NJLL9W1Hd0fOsvOzkZ2drbfZex2O5KSkgLe5oIFCzB69Gjk5eUBAPLy8lBWVoYFCxbggw8+0NtE04nYiUUsFnqoUPBlp8KH00T8IBq/6hW6+fPno3PnzigqKnI91qVLF93bMeUadmlpKRISEtCjRw/cf//9OHr0qN/lt27diqysLLfHxowZgy1btvhcx+l0wuFwuN1ITQxrufD9JJE0zyGn0+mxzNq1azFo0CDceeedSEhIwIABA/DWW2/pfi7Dv9aVnZ2NO++8E+np6aisrMQzzzyDm266CV9++SXsdrvXdWpra5GYmOj2WGJiImpra30+T2FhIebMmWNo2wPB2bV1sLDLS+bZNmfZkbfxpx6IqveeR4E6e9IJYD06d+7s9nh+fj4KCgrcHvv++++xaNEi5Obm4qmnnsIXX3yBRx55BHa7HVOnTg34OQ0P7MmTJ7v+3bdvXwwaNAjp6elYt24dJkyY4HM9m819YGqa5vHYxfLy8pCbm+u673A4PHac0RjW1sGwVkPsIY2hbRGyhbZRqqurERcX57rvbWLa2NiIQYMGYe7cuQCAAQMGYO/evVi0aFFkA7u55ORkpKen4+DBgz6XSUpK8phNHz161GPWfTG73e5zxk7nMaxJBrLOtkUMbfIUFxfnFtjeJCcno3fv3m6PXXXVVSguLtb1XKZ/D/uXX35BdXU1kpOTfS6TmZmJkpISt8fWr1+PoUOHmt28gIk4u5aNKp8mJu/43kce62Bwhg0bhv3797s9duDAAaSnp+vaju4Zdn19Pb799lvX/crKSlRUVKBDhw7o0KEDCgoKcMcddyA5ORk//PADnnrqKVx++eX4l3/5F9c6U6dOxRVXXIHCwkIAwKOPPorhw4dj/vz5GDduHNasWYMNGzZg8+bNeptH/0e22TWLNQHynSLnLFsNjz32GIYOHYq5c+di0qRJ+OKLL/Dmm2/izTff1LUd3TPsnTt3YsCAARgwYAAAIDc3FwMGDMCf/vQntG7dGnv27MG4cePQo0cP5OTkoEePHti6dStiY2Nd26iqqkJNTY3r/tChQ7F8+XIUFRXh6quvxpIlS7BixQoMGTJEb/NMIdpRJcOaZCZbfxBtvIpWD61g8ODBWLVqFT744AP07dsXzz77LBYsWIB7771X13Z0z7BHjhwJTfM9YD755JMWt1FaWurx2MSJEzFx4kS9zSGJyVaYyTiyXtcmed1222247bbbQtoG/y/xFoh2NCna0bovDGsKhCz9RLRxK1pdlAUDWyKiDXpfZCnCFB6y9BdZxi+Zh4HtB48iw4ufAqdgydJ3RApt1sfwY2BLQqSB7o0MxZYij/2IZMbA9kGko0eGNdEFovcnkcazSHVSBgxswYk0uL0RvbiSNYner0Qf12QOBrYXPGoMD9GLKlkb+1d4sF6GDwNbYCIfhbOYUjiI3M9EHt9kDgZ2M6IcLYo8mEUuoiQekfubKONclLopOgY2hZXIxZPExX5HMmBgX0SUo0RRjrqbY9GkSBK1/4ky3kWpnyJjYAtGlMHbnKjFkuQiaj8UddyTsXT/+IeseHRoHlGLpBXEf+f0+be6bvYwtkQesv1Ep5X8cLgTuqQei3QzpMXAFoiIR9kM65b5C+VQ1mOg+yZiaPO3s4mBTWSyYAPZzOdlmBOJh9ewIcbpcM6uxRP/nTNiYd0SK7ctXETsnyLUARHqqag4wyZTiFgMjSBaCF7cXhVn3SKeGid1cYYtABGOqi+mYljLMGOV4TUEQ7T+Klo9IOMoH9g8fUOhkDHkZHxNFF6sq+bgKXGLE+1oWrTZSjBUCTOVTpeLdmqcnxhXk9IzbB4FGkv2sFZ55qnCa5e9/4Yb66vxOMO2MJFm17IWO9lDSi/ZZ90izbQ5y1YPA5vICwZ1y5r2kWzBLVJok1qUPSVu9dM1nF1HDsNaH+6vyLF6nbB6nRWNsoFNxmBYEyDffpOtX5McGNgWZPWj5iYyFTUVPlRlNtn2oSj9W5R6QaFTMrB5moYuJlPIWAH3J12M9dY4Sga2lYlytCzK7KMlDBdzyLJfRennotQNCo1ygc2jvdCJUsT8ke30rRXJso9l6O+RxrprDOUC28p4lBweMoSISLi/w4P1Q34MbNJF9NkGwyMyRN/vovd7koNSgc3TMmoTPTREx/2vNtbf0CkV2FYmwukskWcZDAtrEPl9EKH/i1BHKHgMbJKeyCEhI74fRMFhYFNARJhdeMNwsCZR3xdRxwHJQZnAtvL1E57GMoeooaAKvj/msHI9sXIdFoHuwN60aRPGjh2LlJQU2Gw2rF692vW3M2fO4Mknn0S/fv3Qrl07pKSkYOrUqfjxxx/9bnPJkiWw2Wwet9OnT+t+QWQ8EWcVDAMxiPg+iTgeKLIKCgo88i0pKUn3dnQH9smTJ9G/f38sXLjQ42+nTp3Crl278Mwzz2DXrl1YuXIlDhw4gNtvv73F7cbFxaGmpsbtFhMTo7d5REKGgMr4fpEK+vTp45Zve/bs0b0N3b+HnZ2djezsbK9/i4+PR0lJidtjr776Kq677jpUVVUhLS3N53b1HnE4nU44nRcGusPhCHhdK7Hy6StAvNkEi7+Y4r9zCvW72lb/zWx7VTScaQ2RboYSmmeP3W6H3e7Zl6OiooKaVbttI6S1A1BXVwebzYZLL73U73L19fVIT0/HuXPncM011+DZZ5/FgAEDfC5fWFiIOXPmBNQGXjdRA8NabKKFNgXnh8Od0CX1WETbUPXj5WjVNrQzuI2/nb9k27lzZ7fH8/PzUVBQ4LH8wYMHkZKSArvdjiFDhmDu3Lm48sordT2nqR86O336NGbPno177rkHcXFxPpfr1asXlixZgrVr1+KDDz5ATEwMhg0bhoMHD/pcJy8vD3V1da5bdXW1GS9BaSLNrhnWchDpfRRpfJB5qqur3bIoLy/PY5khQ4bgnXfewSeffIK33noLtbW1GDp0KH755Rddz2XaDPvMmTO466670NjYiNdee83vshkZGcjIyHDdHzZsGK699lq8+uqreOWVV7yu4+u0g0isfjqciMTF0+LhERcX53dCCsDtMnK/fv2QmZmJbt26YenSpcjNzQ34uUyZYZ85cwaTJk1CZWUlSkpKWnwxHo1q1QqDBw/2O8Mmc4k0exBpVkYtE+n9FGmckHW0a9cO/fr1051xhgd2U1gfPHgQGzZsQMeOHXVvQ9M0VFRUIDk5OeT28Pq13EQq7hQ4vq9yU70uO51O7Nu3T3fG6T4lXl9fj2+//dZ1v7KyEhUVFejQoQNSUlIwceJE7Nq1C//zP/+Dc+fOoba2FgDQoUMHREefPwU8depUXHHFFSgsLAQAzJkzBxkZGejevTscDgdeeeUVVFRU4G9/+5ve5gmDp8NDx6IuN34ILXQ8LW4Njz/+OMaOHYu0tDQcPXoUzz33HBwOB3JycnRtR3dg79y5EzfeeKPrftP595ycHBQUFGDt2rUAgGuuucZtvY0bN2LkyJEAgKqqKrRqdWFyf/z4cfz+979HbW0t4uPjMWDAAGzatAnXXXed3uaRAXiajyhwVv+KF0Xe4cOHcffdd+Pnn39Gp06dkJGRgW3btiE9PV3XdnQH9siRI6Fpvgu6v781KS0tdbv/8ssv4+WXX9bbFFIYZ9dq4CybZLB8+XJDtiP1/yVu1eskVj4dLsLsmmGtFhHebyuPG6vWG6vWZyuTOrBJPiIUbzIe33eiMPxPZyQOK88SVBf9zWHXvxt6pUawJeQLr2WT2RjYJAzVZlkXh7Svx1UKb17PJtUxsMPMqteTKPJ8BbSedVQKcAocv94lB2kDmx9oIBEEE9KBbo/hTVZnhR8CEYm0gU36WP36tSynw40OaD3PJUOAW/20OK9jk5kY2EQmC2dI+8PZN5HY+LUusjyRZ9dWCevmrNquQIjcH4hCwcAOI37gTC1WD0Wrt09UVr28xPojPgY2WbbAiEyUMBSlnUQkaWDzE+LyEPH0p2ghKFp7ATH7BXnHeh04KQObKFJEDD9A3HYTqYSBrTgrnw4XbRYleuiJ1n4r9w8rjysSFwM7TPiBD7mJFna+yPI6yDvWIbExsMmSrDx7ak62kBPp9YjUT4hCxcAmCoFI4aaHrK+LSGQMbIXxOltoZA812V+f2Ti+yGjSBXbVj5dHugkUIhFOc6oSZiK8ThH6C/nHr3YFRrrAtiJ+0EMuIoSYkVR7vbJjPRIXA5ssxeqzJVXDy+qv2+r9hsgIDGwiIiIBMLAVxQ/EEJmP44yMxMAmCpDVTwubTfXXTxRpDGwiIiIBMLCJiIgEwMAmIiISAAObKAC8fnuelfcDv9pFsmNgk2Ww4BIR+cbAJiIiEgADm6gFVj4NHAncH0SRwcAmIiISAAObiIgijr+02DIGNhGRYviLXWJiYJvMigOD/79x4Hi91jvul8BxvJFRdAf2pk2bMHbsWKSkpMBms2H16tVuf9c0DQUFBUhJSUHbtm0xcuRI7N27t8XtFhcXo3fv3rDb7ejduzdWrVqlt2lEpDh+NZBEUFhYCJvNhlmzZulaT3dgnzx5Ev3798fChQu9/v3555/HSy+9hIULF2LHjh1ISkrC6NGjceLECZ/b3Lp1KyZPnowpU6Zg9+7dmDJlCiZNmoTt27frbR4JioWWiFSwY8cOvPnmm7j66qt1r6s7sLOzs/Hcc89hwoQJHn/TNA0LFizAH//4R0yYMAF9+/bF0qVLcerUKbz//vs+t7lgwQKMHj0aeXl56NWrF/Ly8jBq1CgsWLDA5zpOpxMOh8PtRmQknvb1j/uHCB455HT6nnzU19fj3nvvxVtvvYXLLrtM93MZeg27srIStbW1yMrKcj1mt9sxYsQIbNmyxed6W7dudVsHAMaMGeN3ncLCQsTHx7tunTt3Dv0FEBGR9KKro2GvCu0WXX3+80mdO3d2y6LCwkKfzztjxgzceuut+Od//ueg2h0V1Fo+1NbWAgASExPdHk9MTMShQ4f8rudtnabteZOXl4fc3FzXfYfDwdAmIqKwqq6uRlxcnOu+3W73utzy5cuxa9cu7NixI+jnMjSwm9hsNrf7mqZ5PBbqOna73eeOITJCQ69Unvb1o6FXaqSbQBRxcXFxboHtTXV1NR599FGsX78eMTExQT+XoafEk5KSAMBjZnz06FGPGXTz9fSuQ3Kp68aDLyKS05dffomjR49i4MCBiIqKQlRUFMrKyvDKK68gKioK586dC2g7hgZ2165dkZSUhJKSEtdjDQ0NKCsrw9ChQ32ul5mZ6bYOAKxfv97vOkREzfHAj6xo1KhR2LNnDyoqKly3QYMG4d5770VFRQVat24d0HZ0nxKvr6/Ht99+67pfWVmJiooKdOjQAWlpaZg1axbmzp2L7t27o3v37pg7dy4uueQS3HPPPa51pk6diiuuuMJ1cf7RRx/F8OHDMX/+fIwbNw5r1qzBhg0bsHnzZr3NsxxnWoPl/vOUE+k2/mcOAeJpce94OjxwJ9L9Xw4k+cXGxqJv375uj7Vr1w4dO3b0eNwf3YG9c+dO3Hjjja77TR/8ysnJwZIlS/DEE0/gt99+w0MPPYRff/0VQ4YMwfr16xEbG+tap6qqCq1aXZjcDx06FMuXL8fTTz+NZ555Bt26dcOKFSswZMgQvc0jIqIWONMaIt0ECoLuwB45ciQ0zffszGazoaCgAAUFBT6XKS0t9Xhs4sSJmDhxot7mEBGRBNJSfkZ1pBsRRt5ysCX8v8SJiIgEwMAmagGv17rj/iCKDAY2ERGRABjYZBn8Sg6Fgv2HZMfAJgoATwOfx/1AFDkMbCIiIgEwsImIiATAwCYiIhIAA1tR/O8S9VP9+q3qr58o0hjYREQm4YExGYmBTUREJAAGdhjwP9oPnNW/S6vqaWGrv26r9xsiIzCwiXSyengZTbXXKztOIMQlXWCnpfwc6SZQiESYLakSYiK8ThH6C/nXJfVYpJsgBOkCmwLHD8SERoQwC4Xsr89sHF9kNAY2WZIosyZZQ03W10UkMgY2UYhkCzeRXo8oB3ZERmBghwk/6CE3kULOH1leB3nHOiQ2BrbirHydTbTZk+hhJ1r7rdw/rDyuSFwMbCIDiRZ6TURtN5FKpAxsfkVAHlaeRfkiWviJ1l5AzH5B3rFeB07KwCZ9ePrOeKKEoCjtJCIGdljxAx9qsXoYWr19orLqATDrj/gY2GR5Ip/+tGooWrVdgRC5PxCFIirSDSCS3cXhGP3NYUu0g4jEw8AmAOdP48Ue0iLdDJ/qutkR/50z0s0IWfPQNDPAZQxoq8+urXo6nOQgbWB3ST2GHw53inQziPwyevYtY0iTvPgJcX2kDWyrcqY1wF4VHelmCEmWWbYvwcy+GdAUCH7gTA4MbCKL8jX7VjWkrX46nMhsDGxysfp1bED+WbYvqoa0SHj9mszGr3URkeVxdk0keWBb9QMNVr6eJMIsgcVbLSK831YeN1atN1atz1YmdWCTvEQo4hQ6vs9EFzCwyYOVZwtEVsPxQuHCwI4Qq56mEglnX3Lj+xs61hm5GB7YXbp0gc1m87jNmDHD6/KlpaVel//mm2+MaQ+vk0iNRV1OfF/lplpdXrRoEa6++mrExcUhLi4OmZmZ+Oijj3Rvx/Cvde3YsQPnzp1z3f/HP/6B0aNH48477/S73v79+xEXF+e636kT/5eySBLhK15NVP2ql6xECmueDqdApKamYt68efinf/onAMDSpUsxbtw4lJeXo0+fPgFvx/DAbh608+bNQ7du3TBixAi/6yUkJODSSy81ujmWxv/1jIjMwtPh1jF27Fi3+3/+85+xaNEibNu2TVdgm3oNu6GhAcuWLcP06dNhs/k/Eh0wYACSk5MxatQobNy4scVtO51OOBwOtxsZS6TZg0izMvJNpPdRpPFB5mmeQ06n/7N9586dw/Lly3Hy5ElkZmbqei5T/6ez1atX4/jx45g2bZrPZZKTk/Hmm29i4MCBcDqdePfddzFq1CiUlpZi+PDhPtcrLCzEnDlzAmoHfwhEDTw1LjaRwpqCZ4Xr17HVGlpHh3bJ71zD+fU7d+7s9nh+fj4KCgo8lt+zZw8yMzNx+vRptG/fHqtWrULv3r11PadN0zTTLlSOGTMG0dHR+O///m9d640dOxY2mw1r1671uYzT6XQ7knE4HOjcuTOGrZmJqHaeA9/KgW310+KiXMtuwtAWj2hhbfXZtZVPh/sK7LMnnfh83ELU1dW5fZ7JSA6HA/Hx8bhmyp/ROjompG2daziNinf/iOrqarf22u122O2e/bmhoQFVVVU4fvw4iouL8Z//+Z8oKyvTFdqmzbAPHTqEDRs2YOXKlbrXzcjIwLJly/wu42unEHGmLRbRwproYk2f/G5JdHS060NngwYNwo4dO/DXv/4Vb7zxRsDPZdo17KKiIiQkJODWW2/VvW55eTmSk5NNaBUFw+qzCW8YAmIQ8X0ScTyQ9Wia1uL17uZMmWE3NjaiqKgIOTk5iIpyf4q8vDwcOXIE77zzDgBgwYIF6NKlC/r06eP6kFpxcTGKi4sNbZOVr2Pz0+Lm4Ezb2kQMaxGIeDpcdk899RSys7PRuXNnnDhxAsuXL0dpaSk+/vhjXdsxJbA3bNiAqqoqTJ8+3eNvNTU1qKqqct1vaGjA448/jiNHjqBt27bo06cP1q1bh1tuucWMplGQRPpe9sUY2tYkalhzdk3B+OmnnzBlyhTU1NQgPj4eV199NT7++GOMHj1a13ZMCeysrCz4+izbkiVL3O4/8cQTeOKJJ8xoBhEAhrbViBrWRMFavHixIdvh/yVuEVY+jdVE5NkFQ8IaRH4fROj/ItQRCp5Sga3q9RM6T+SwkAH3v9pYf0OnVGBT6ESYZfjD0IgM0fe76P2e5MDAthCezgoP0cNDNNzf4cH6IT/lApunZUInw2yjrpudQWIyWfaxDP090lh3jaFcYFudKEfJshQxGQLFimTZr6L0c1HqBoVGycDm0R5dTJZwsQruT7oY661xlAxsqxPlaFmU2UcgZDl9G0my7UNR+rco9YJCx8CmkIhS1AIlU+CEk2z7TbZ+TXJQNrCtfppGpKNm2YqbbDNFs8m2r0Tqz1avE1avs6Ix7ec1iUTXFET8b029ky2oiayOgW1hIv2Kl6g/DhIIBvcFsoc0Z9dkZcqeEgd4usZoIhW7YKh8qlyF1y57/w031lfjcYZtcSLNsgG5Z9pNLg4umWfdsgf0xUQLa86u1aT0DBvgUSCFRsaZp4yvicKLddUcnGELgLNs65Nh1q1qSHN2TaJgYJMpVAztJiJ9SE3VkG4iWliT2pQ/JQ6IcfpGxKNq1YuhlU8tW7lt4SJi/xShDohQT0XFGTaRyVoKRjNm4qqHMZGMGNgCEe1aNqD2qfFABRPoDOTQcHZNImJg/58uqcfww+FOkW6GlBjaoWE4G0vEsBYFT4ebi9ewBSPqUTaLJFmBqP1Q1HFPxmJgX0SUo0NRB6+oxZLkIGr/E2W8i1I/RcbAprAStWiS2NjvSAYM7GZEOUoU5ajbGxZPCieR+5so41yUuik6BrbARBnM3ohcREkcIvczkcc3mYOB7QWPFsND5GJK1sf+FR6sl+HDwBac6EfhLKpkBtH7lejjmszBwPZBpKNG0Qe36MWVrEX0/iTSeBapTsqAgS0JkQa5N6IXWbIG9iOSGQPbDx49hteJdBsLLgVFlr4j0oE362P4MbAlItJg90eGwkvhI0t/kWX8knkY2C0Q7ShSlkEvSxEmc8nST0Qbt6LVRVnwxz/IspqKMX84hJqTJaiJ9OAMOwCiHU2KdrTeEhZnuphs/UG08SpaPZSJ4YFdUFAAm83mdktKSvK7TllZGQYOHIiYmBhceeWVeP31141ulnJEKwItka1IU3Bk6weyjVPyrrCwEIMHD0ZsbCwSEhIwfvx47N+/X/d2TJlh9+nTBzU1Na7bnj17fC5bWVmJW265BTfccAPKy8vx1FNP4ZFHHkFxcbEZTQsajyojT5ZPApN+fO+tgXUwOGVlZZgxYwa2bduGkpISnD17FllZWTh58qSu7ZhyDTsqKqrFWXWT119/HWlpaViwYAEA4KqrrsLOnTvx4osv4o477jCjeUHrknoMPxzuFOlmBMyZ1gB7VXSkm2G4E+k2XtdWiKxBzdm1Oj7++GO3+0VFRUhISMCXX36J4cOHB7wdU2bYBw8eREpKCrp27Yq77roL33//vc9lt27diqysLLfHxowZg507d+LMmTM+13M6nXA4HG438iRrUZC1iJM7Wd9nEcclZ9feNc8hp9PZ4jp1dXUAgA4dOuh6LsNn2EOGDME777yDHj164KeffsJzzz2HoUOHYu/evejYsaPH8rW1tUhMTHR7LDExEWfPnsXPP/+M5ORkr89TWFiIOXPmGN38Fok2ywbknmkD/BS5jGQNaoBhbQVxlU5ERYXWx86ePR/MnTt3dns8Pz8fBQUFPtfTNA25ubm4/vrr0bdvX13PaXhgZ2dnu/7dr18/ZGZmolu3bli6dClyc3O9rmOzue84TdO8Pn6xvLw8t+05HA6PHUdq4Clyucgc1iSf6upqxMXFue7b7Xa/y8+cORNfffUVNm/erPu5TP8edrt27dCvXz8cPHjQ69+TkpJQW1vr9tjRo0cRFRXldUbexG63t7hjzMJZtvVwti0+FYKas2v5xMXFuQW2Pw8//DDWrl2LTZs2ITU1Vfdzmf49bKfTiX379vk8tZ2ZmYmSkhK3x9avX49BgwahTZs2ZjcvaCJ2YhGLhV78NLF4VHnPRBx/ItY5K9I0DTNnzsTKlSvx6aefomvXrkFtx/DAfvzxx1FWVobKykps374dEydOhMPhQE5ODoDzp7KnTp3qWv7BBx/EoUOHkJubi3379uHtt9/G4sWL8fjjjxvdNIKYRSMYqoSAyFR6j1QZd+TdjBkzsGzZMrz//vuIjY1FbW0tamtr8dtvv+najuGBffjwYdx9993o2bMnJkyYgOjoaGzbtg3p6ekAgJqaGlRVVbmW79q1Kz788EOUlpbimmuuwbPPPotXXnnFcl/p8kbUo0+ViodKoSAK1d4TUcebqPXNihYtWoS6ujqMHDkSycnJrtuKFSt0bcfwa9jLly/3+/clS5Z4PDZixAjs2rXL6KaEhYjXswH5r2k3x2vckadSSDdhWBNw4YPUoeKPfyhMtdAGGNyRoGJQA+KGNVkXf/zDACIfjapaVFQ7LRsJKu9jkceVyPVMdpxhG0TUU+OAmjPtJhcHCmfdoVM1oC/GsCazMLAJgNqh3YSny4PHoD5P5LAm6+MpcQOJfnTKYnOeyqdy9eK+ukD08SN6/VIBZ9gGE/nUOMCZ9sWaBxFn3pxJ+8KwpnBgYJMHhrZ3KgY4A7plooc1iYOBbQLRZ9kAQzsQsn5gjSEdOBnCmrNrcTCwTcLQVovIs28GdHAY1hRuDGzyi6EdHF8hGMkgZzAbR4awJvEwsE0kwywbYGgbSU9oBhLuDOHwkyWsObsWDwPbZAxtChbD2HoY1hRJ/B52GMgyOGQpVkTBYP+nSGNgky4sWqQimfq9LBMIFTGww0SmQeJMa5CqgBH5Iltfl6kOqYiBHUayDRaZChlRc7L1b9nqj4oY2GEm26CRragRAfL1a9nqjqoY2BEg2+CR7bQhqUvGvixbvVEZAztCZBxEshU6UouM/VfGOqMyBnYEyTiYZJyhkNxk7bMy1hfVMbDJFDIWQJIP+ymJhIEdYTIfBcs6cyHxyd43Za4rKmNgW4Dsg0vmwkjikb0/yl5PVMbAtgjZB5nsRZLEIHs/FLmO3Jh4INJNsDzpAlvkN13kwRYI2U9DknWp0PdErh+jk76JdBOEIF1gi07kQRco2QsnWYsK/U2FukGSBrboR2sqDD4VZjwUWar0MdHrhej1OpykDGyAnUAUKhRUCj/2KzGwTusjbWCLTvSjZj1UmQmR+VTrSyrVCZI8sEU/elNtMKpWbMk4KvYd0euD6PU5EqQObED8TiH6oAyGisWXgqNqXxG9LohelyNF+sAGxO8cog/OYKlajKllKvcN0euB6PU4kpQIbBmIPkhDoXJxJneq9wWV6wApFNgyHNWpPlhVL9Yq43svx/iXoQ5HkjKBDcjRWbqkHpNi4IaCxVsdfK/lGfMy1N9IMzywCwsLMXjwYMTGxiIhIQHjx4/H/v37/a5TWloKm83mcfvmG+PfYFk6jQwDOFQs5vLie3ueLONclrobik2bNmHs2LFISUmBzWbD6tWrdW/D8MAuKyvDjBkzsG3bNpSUlODs2bPIysrCyZMnW1x3//79qKmpcd26d+9udPMAyNN5ZBnMoWJxlwffywtkGd+y1NtQnTx5Ev3798fChQuD3kaUge0BAHz88cdu94uKipCQkIAvv/wSw4cP97tuQkICLr30UqObJLUuqcfww+FOkW6GJVxc6O1V0RFsCenBgPYkS1jTBdnZ2cjOzg5pG6Zfw66rqwMAdOjQocVlBwwYgOTkZIwaNQobN270u6zT6YTD4XC76SHTUR8Ht6emmRrDwJr4/vgm03iWqc760jyHnE6nac9l+Az7YpqmITc3F9dffz369u3rc7nk5GS8+eabGDhwIJxOJ959912MGjUKpaWlPmflhYWFmDNnTkjtG530DUpqe4W0DavgTNs3zrytgeHcMoZ1eEQf+BFRrUKrBa0az/fnzp07uz2en5+PgoKCkLbti6mBPXPmTHz11VfYvHmz3+V69uyJnj17uu5nZmaiuroaL774os/AzsvLQ25uruu+w+Hw2HGBkC20ATC4/WB4hxdDOjAyBTVg7bA2WnV1NeLi4lz37Xa7ac9lWmA//PDDWLt2LTZt2oTU1FTd62dkZGDZsmU+/2632w3bMTKFNsDZdqAY3uZgSOvDsBZbXFycW2CbyfDA1jQNDz/8MFatWoXS0lJ07do1qO2Ul5cjOTnZ4Napg6GtD8M7NAzp4MgW1mQuwwN7xowZeP/997FmzRrExsaitrYWABAfH4+2bdsCOH86+8iRI3jnnXcAAAsWLECXLl3Qp08fNDQ0YNmyZSguLkZxcbHRzfNJtlk2wNAOVvPwYYB7YkCHTsawVm12rUd9fT2+/fZb1/3KykpUVFSgQ4cOSEtLC2gbhgf2okWLAAAjR450e7yoqAjTpk0DANTU1KCqqsr1t4aGBjz++OM4cuQI2rZtiz59+mDdunW45ZZbjG6eXwxt8sZbOKkU4gxn4zGs1bNz507ceOONrvtNn8HKycnBkiVLAtqGTdM0zYzGhZvD4UB8fDye3paFmPZtQtqWbKEN8INo4SBDiDOczcew9u50/Rk8l7EedXV1pl0TbsqJf074XcifEj/b2IANR//T1PY2Z+qnxEUl60wbYHCbyVfYWTXIGc7hJ2NYU/gwsBXDU+ThF2wwBhL0DF0xyBzUPBUePgxsH2ScZTdhaIuBYSwHhjUZRamf19RL5s4oy0/2EVmV7GNM5vpoVQzsFsjeKWUuKESRIvu4kr0uWhUDOwCyd07ZZwJE4aLCWJK9HloZAztAKnRS2QsNkZlUGD8q1EErY2DroEJnVWGGQGQkVcaMCvXP6hjYOqnSaVUoQEShUmWcqFL3rI6BHQRVOq8qMwcivVQaG6rUOxEwsIOkUidWpTARBUKl8aBSnRMBAzsEKnVmlWYURN6oNgZUqm+iYGCHSLVOrVLBImqiWr9Xra6JgoFtANU6t2ozDVKXin1dtXomEga2QVTs5CoWM1KDqn1bxTomEga2gVTt7CoWNpKXqv1Z1folEga2wVTt9KrOSEgeKvdhVeuWaBjYJlC586tc9EhMqvdZleuVaBjYJlF9EKheBMn62EdZp0TDwDYRBwOLIlkP++R5rE/iiYp0A2TXNChKantFuCWR1VQgfzjcKcItIVUxpC9gWIuJgR0mo5O+UT60AQY3hR+D+gIGtdh4SjyMOFgu4GlJMhv7mDvWH/ExsMOMg8YdiyoZjX3KE+uOHHhKPAJ4XdvTxQWWp8tJLwa0dwxquTCwI4jXtb1jeFMgGNL+Mazlw1PiEcZB5R9Pb1Jz7BMtY12RE2fYFsCZdss461YbAzpwDGt5MbAtgte1A8fwVgNDWh8Gtfx4StxiOOj04elR+fA91Y91Qw2cYVsQT5Hrx1m32BjQwWNYq4OBbVEM7eA1L/4McOthQBuDYa0WBraF8bq2MRjgkceANhaDWk0MbAFwtm0sBrj5GNDmYViri4EtCIa2eRjgoWNAhwfDWm0MbIHwFHl4eAsfhvgFDOfwUyGox8fuxnORboTFmfa1rtdeew1du3ZFTEwMBg4ciM8++8zv8mVlZRg4cCBiYmJw5ZVX4vXXXw/qecfH7g5qPZGoMHitpumrRs1vMlPxNVuRCuN9YtyuSDchLPTmYnOmzLBXrFiBWbNm4bXXXsOwYcPwxhtvIDs7G19//TXS0tI8lq+srMQtt9yC+++/H8uWLcPnn3+Ohx56CJ06dcIdd9yh+/knxu3CfzmuNeKlWBZn29bgL8BEmJUzgK1LhaAG1AlrvbnojU3TNM3ohg0ZMgTXXnstFi1a5Hrsqquuwvjx41FYWOix/JNPPom1a9di3759rscefPBB7N69G1u3bvX6HE6nE06n03W/rq4OaWlpKN3eCe3bnz9xsPpEf6NekqVt/KlHpJtABqv68fKAl01L+dnEllAk3Jh4INJNCIuLz4jW1zdi5JBjOH78OOLj4015PofDgfj4eIzsNBVRtuiQtnVWa0DpsXdQXV2NuLg41+N2ux12u91jeb256JVmMKfTqbVu3VpbuXKl2+OPPPKINnz4cK/r3HDDDdojjzzi9tjKlSu1qKgoraGhwes6+fn5GgDeeOONN94kun333XfGhJEXv/32m5aUlGRYW9u3b+/xWH5+vsfzBpOL3hh+Svznn3/GuXPnkJiY6PZ4YmIiamtrva5TW1vrdfmzZ8/i559/RnJyssc6eXl5yM3Ndd0/fvw40tPTUVVVZdrRmRkcDgc6d+7scZRmdWx3+InadrY7vERtd9NZ0g4dOpj2HDExMaisrERDQ4Mh29M0DTabze0xb7PrYHLRG9M+Jd78RXh7YS0t7+3xJr5OO8THxwvVSZvExcWx3WEkarsBcdvOdoeXqO1u1crcn7iIiYlBTEyMqc/hi95cbM7wPXP55ZejdevWHkcNR48e9Ti6aJKUlOR1+aioKHTs2NHoJhIREYVNMLnojeGBHR0djYEDB6KkpMTt8ZKSEgwdOtTrOpmZmR7Lr1+/HoMGDUKbNm2MbiIREVHYBJOLXoVyAd+X5cuXa23atNEWL16sff3119qsWbO0du3aaT/88IOmaZo2e/ZsbcqUKa7lv//+e+2SSy7RHnvsMe3rr7/WFi9erLVp00b7r//6r4Cf8/Tp01p+fr52+vRpw1+Pmdju8BK13ZombtvZ7vBiu62ppVwMhCmBrWma9re//U1LT0/XoqOjtWuvvVYrKytz/S0nJ0cbMWKE2/KlpaXagAEDtOjoaK1Lly7aokWLzGoaERFR2PnLxUCY8j1sIiIiMpa5H8cjIiIiQzCwiYiIBMDAJiIiEgADm4iISABCBXakfrIzWIWFhRg8eDBiY2ORkJCA8ePHY//+/X7XKS0thc1m87h98034frmnoKDA4/mTkpL8rhPpfQ0AXbp08brvZsyY4XX5SO7rTZs2YezYsUhJSYHNZsPq1avd/q5pGgoKCpCSkoK2bdti5MiR2Lt3b4vbLS4uRu/evWG329G7d2+sWrUqbO0+c+YMnnzySfTr1w/t2rVDSkoKpk6dih9//NHvNpcsWeL1fTh9+nRY2g0A06ZN83j+jIyMFrcbyf0NwOt+s9lseOGFF3xuMxz7O5DaZ9U+bmXCBHbTT5P98Y9/RHl5OW644QZkZ2ejqqrK6/JNP9l5ww03oLy8HE899RQeeeQRFBcXh63NZWVlmDFjBrZt24aSkhKcPXsWWVlZOHnyZIvr7t+/HzU1Na5b9+7dw9DiC/r06eP2/Hv27PG5rBX2NQDs2LHDrc1N/0nBnXfe6Xe9SOzrkydPon///li4cKHXvz///PN46aWXsHDhQuzYsQNJSUkYPXo0Tpw44XObW7duxeTJkzFlyhTs3r0bU6ZMwaRJk7B9+/awtPvUqVPYtWsXnnnmGezatQsrV67EgQMHcPvtt7e43bi4OLf3oKamxtD/PrKl/Q0AN998s9vzf/jhh363Gen9DcBjn7399tuw2Wwt/iyx2fs7kNpn1T5uaSZ81cwU1113nfbggw+6PdarVy9t9uzZXpd/4okntF69erk99sADD2gZGRmmtbElR48e1QD4/e7dxo0bNQDar7/+Gr6GNZOfn6/1798/4OWtuK81TdMeffRRrVu3blpjY6PXv1thX2uapgHQVq1a5brf2NioJSUlafPmzXM9dvr0aS0+Pl57/fXXfW5n0qRJ2s033+z22JgxY7S77rrL8DZrmme7vfniiy80ANqhQ4d8LlNUVKTFx8cb2zg/vLU7JydHGzdunK7tWHF/jxs3Trvpppv8LhPu/a1pnrVPlD5uNULMsBsaGvDll18iKyvL7fGsrCxs2bLF6zpbt271WH7MmDHYuXMnzpw5Y1pb/amrqwOAgH6NZsCAAUhOTsaoUaOwceNGs5vm4eDBg0hJSUHXrl1x11134fvvv/e5rBX3dUNDA5YtW4bp06e3+J/rR3pfN1dZWYna2lq3fWq32zFixAif/R3w/T74W8dsdXV1sNlsuPTSS/0uV19fj/T0dKSmpuK2225DeXl5eBp4kdLSUiQkJKBHjx64//77cfToUb/LW21///TTT1i3bh3uu+++FpcN9/5uXvtk6uPhJERgm/GTneGmaRpyc3Nx/fXXo2/fvj6XS05Oxptvvoni4mKsXLkSPXv2xKhRo7Bp06awtXXIkCF455138Mknn+Ctt95CbW0thg4dil9++cXr8lbb1wCwevVqHD9+HNOmTfO5jBX2tTdNfVrvT/H5eh/0/HyfkU6fPo3Zs2fjnnvu8furUb169cKSJUuwdu1afPDBB4iJicGwYcNw8ODBsLU1Ozsb7733Hj799FP85S9/wY4dO3DTTTfB6XT6XMdq+3vp0qWIjY3FhAkT/C4X7v3trfbJ0sfDzbSf1zSD2T/ZaaaZM2fiq6++wubNm/0u17NnT/Ts2dN1PzMzE9XV1XjxxRcxfPhws5sJ4HzxatKvXz9kZmaiW7duWLp0qdtvkF/MSvsaABYvXozs7GykpKT4XMYK+9qfYH6KL9Sf7zPKmTNncNddd6GxsRGvvfaa32UzMjLcPuA1bNgwXHvttXj11VfxyiuvmN1UAMDkyZNd/+7bty8GDRqE9PR0rFu3zm8AWmV/A8Dbb7+Ne++9t8Vr0eHe3/5qn8h9PBKEmGGL/pOdDz/8MNauXYuNGzciNTVV9/oZGRlhnW00165dO/Tr189nG6y0rwHg0KFD2LBhA373u9/pXjfS+xqA6xP5en+Kz9f7oOfn+4xw5swZTJo0CZWVlSgpKdH9m8ytWrXC4MGDI/o+JCcnIz093W8brLK/AeCzzz7D/v37g+rzZu5vX7VP9D4eKUIEtqg/2alpGmbOnImVK1fi008/RdeuXYPaTnl5OZKTkw1uXeCcTif27dvnsw1W2NcXKyoqQkJCAm699Vbd60Z6XwNA165dkZSU5LZPGxoaUFZW5ven+Hy9D7p+vi9ETWF98OBBbNiwIagDNk3TUFFREdH34ZdffkF1dbXfNlhhfzdZvHgxBg4ciP79++te14z93VLtE7mPR1QkPukWjEj8ZGeo/v3f/12Lj4/XSktLtZqaGtft1KlTrmWat/vll1/WVq1apR04cED7xz/+oc2ePVsDoBUXF4et3X/4wx+00tJS7fvvv9e2bdum3XbbbVpsbKyl93WTc+fOaWlpadqTTz7p8Tcr7esTJ05o5eXlWnl5uQZAe+mll7Ty8nLXp6nnzZunxcfHaytXrtT27Nmj3X333VpycrLmcDhc25gyZYrbtyQ+//xzrXXr1tq8efO0ffv2afPmzdOioqK0bdu2haXdZ86c0W6//XYtNTVVq6iocOvzTqfTZ7sLCgq0jz/+WPvuu++08vJy7d/+7d+0qKgobfv27WFp94kTJ7Q//OEP2pYtW7TKykpt48aNWmZmpnbFFVdYen83qaur0y655BKfv3AYif0dSO2zah+3MmECW9PE+8lOAF5vRUVFPts9f/58rVu3blpMTIx22WWXaddff722bt26sLZ78uTJWnJystamTRstJSVFmzBhgrZ3716fbda0yO/rJp988okGQNu/f7/H36y0r5u+Utb8lpOTo2na+a+95Ofna0lJSZrdbteGDx+u7dmzx20bI0aMcC3f5O9//7vWs2dPrU2bNlqvXr0MP/jw1+7KykqffX7jxo0+2z1r1iwtLS1Ni46O1jp16qRlZWVpW7ZsCVu7T506pWVlZWmdOnXS2rRpo6WlpWk5OTlaVVWV2zastr+bvPHGG1rbtm2148ePe91GJPZ3ILXPqn3cyvjzmkRERAIQ4ho2ERGR6hjYREREAmBgExERCYCBTUREJAAGNhERkQAY2ERERAJgYBMREQmAgU1ERCQABjYREZEAGNhEREQCYGATEREJ4P8DDaNsun9Bsk8AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Contours\n", "fig = plt.figure()\n", @@ -476,7 +344,7 @@ "**Exercise**. \n", "- Produce a plot of $f(x) = \\exp(-\\frac{x}{10})\\sin(\\pi x)$ and $g(x) = x\\exp(-\\frac{x}{3})$ over the interval $[0, 10]$. \n", "- Use a dashed line for $f(x)$ and a solid line for $g(x)$.\n", - "- Include labels for th $x$-axis and $y$-axis and a legend explaining which line is which plot. \n", + "- Include labels for the $x$-axis and $y$-axis and a legend explaining which line is which plot. \n", "- Save the plot as a PNG file. \n", " \n", "" @@ -484,21 +352,10 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, "id": "96bc038b", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAGwCAYAAABb3Do8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAACkNElEQVR4nOydd3hUZfbHPzOTSe8JaaTRew29KIgCCtgWQV2xd921rOvKurqiPxdd11XX3lnFRVRELHQFAekloSUQSkgnfdInmfL7484MLUDKzNx7Z97P89wnycyde89MkpnvPee836OxWq1WBAKBQCAQCATnRSt3AAKBQCAQCARKRwgmgUAgEAgEgosgBJNAIBAIBALBRRCCSSAQCAQCgeAiCMEkEAgEAoFAcBGEYBIIBAKBQCC4CEIwCQQCgUAgEFwEH7kD8BQsFguFhYWEhISg0WjkDkcgEAgEAkErsFqt1NTUkJCQgFZ7/jySEExOorCwkKSkJLnDEAgEAoFA0A7y8vJITEw87/1CMDmJkJAQQHrBQ0NDZY5GIBAIBAJBa6iuriYpKcnxOX4+hGByEvYyXGhoqBBMAoFAIBCojIu104imb4FAIBAIBIKLIASTQCAQCAQCwUUQgkkgEAgEAoHgIogeJoFAIBAIVIbZbKa5uVnuMFSBXq9Hp9N1+DhCMAkEAoFAoBKsVivFxcVUVVXJHYqqCA8PJy4urkM+iUIwCQQCgUCgEuxiKSYmhsDAQGGUfBGsViv19fWUlJQAEB8f3+5jCcEkEAgEAoEKMJvNDrEUFRUldziqISAgAICSkhJiYmLaXZ4TTd8CgUAgEKgAe89SYGCgzJGoD/tr1pG+LyGYBAKBQCBQEaIM13ac8ZoJwSQQCAQCgUBwEYRgEggEAoFAILgIQjAJBAKBQCAQXASxSk4gUBPmZjDWgMUMVrPtqwU0WtAHSJuPP4geB4FAIHAqQjAJBErA3AwVx6AsGwz5UF1g2wqhrgyM1dBYDaaG1h3PJwACIiAwCgIjISgagmIgLBHCk6SvYcnS7UJcCQQCN/L222/zyiuvkJ+fzx133MGyZcvYvn07qamprXr8zJkzGTNmDI8//rhrAz0LIZgEAnfTVAcFuyBvO5zcDyVZUH4ELG1c7qrR2jadLdtkOnWfqQFqGqCm8MLH8AuF6B4Q3VPaOvWCuAEQliSElEAgcDr79+/n0Ucf5bvvvmPo0KG88sorzJgxo9ViCeDZZ59l4sSJ3H333YSGhrou2LMQgkkgcDXGWjj+Kxz7FfK2QfE+SeCcjW+wJFrCkyC0s21LgKBO4B8G/qGSwPELBV0L/7pmkySUmhuguR4aKqGuHOrLob4Maoql7JUhHwx50s/Gakm8Few681gBEZJwihsInYdC4ggpKyVElECgSOqbTOe9T6vR4K/XOXXfQN/2yYfvv/+etLQ0pk2bRkNDA59++inLly9v0zEGDhxIamoqX3zxBQ888EC74mgPQjAJBK6g4jgcXgXZqyBnE5ibzrw/JAGSR0L8YIjpCzG9O57V0fmALgT8QqSfI1IvvL/JaCsDHrZt2XDyIJRmSmLr+AZpc8QcD0kjIGkkpIyVBJW24wMtBQJBx+n77Krz3jexVyc+vWOE4+e0F9bS0NzCRRswskski+8b7fh53MvrqKhrOme/nJemtTnGbt26cezYMUDyRQoODsbf35/Ro0efsd+iRYu44447OHr0KJ07dwbg7rvvZvv27WzcuJGwsDCuvvpqFi1aJASTQKBKakvhwLewd/G5GZvwFOhxBSSPhuRRUrZGbnz8IKaPtJ2OyQglmVC8F4oyIH+nlBWrKYKDy6QNwD8cUsdB6njoOkEq54kMlEAgOA9btmxh9OjRPPDAA9xyyy08/fTTFBae2zZw44038tJLLzF//nzeeust5s2bx6pVq9i6dSthYWEAjBgxgvnz52M0GvHz83NL/EIwCQQdwWyCQz/BnoVw5OdTpTaNDlLGQM8p0GOK1CekFjHh4wcJg6XNTlMdFO6R+q5yt8CJLdBYBVk/ShtAaCJ0nwTdL4eul0plRIFA4BYOPj/lvPdpz3rv2fXM5a3ed9NfJnYssNMIDg4mJyeHcePGERcXR3l5OQkJCefsp9FoePHFF5k5cyYJCQm88cYbbNy40ZFtAujcuTNGo5Hi4mJSUlKcFuOFEIJJIGgP9RWw+zPY8ZHUD2QnYSgMnA39r4fgGPnicza+QbZs0jjpZ7MJitJPle1yt0B1Puz+r7RpfSTB2OsqaYtwzxuaQOCttKWnyFX7Xoy9e/cCMGDAAAAaGhrw9/dvcd/p06fTt29f5s2bx+rVq+nXr98Z99sH6tbX1zstvoshBJNA0BYqjsNvb0DGl6eW+AdGwdBbYdDN0KmnvPG5C50PJA6TtvGPS43mOb/BkbXSVp59SkytfApi+0PvadD3GqlnSy3ZNoFA4DTS09Pp3r07QUFBAERHR1NZWdnivqtWrSIrKwuz2UxsbOw591dUVADQqVMn1wV8FkIwCQStoSoXNvwL0r84tXw/tj+MvB8GzJQMI70ZfQD0uFzaQGomP7QCspZD7mbJPuHkfvj1ZYjqAf2ulcRTbH8hngQCLyE9PZ1BgwY5fh4yZAgLFy48Z7/du3dzww038P777/Pll1/yzDPP8PXXX5+xz/79+0lMTCQ6OtrlcdsRgkkguBDVhZJQ2v3ZKZ+kbpfB+D9JK8XEh33LRHaF0Q9JW32FtGIw83upz6s8Gza8Im3RPWHALBjwO+kxAoHAY0lPT+fqq692/DxlyhTmzp1LZWUlERERAOTk5DBt2jSeeuop5syZQ9++fRk+fDi7du0iLS3N8diNGzcyefJkt8avsVqtVree0UOprq4mLCwMg8HgViMtgYtoboQtb8LGf0ueRgBdLoEJf4WU0Rd+rOD8NFZL4ungd5C9BszGU/clDpfEU//fQVCUbCEKBEqlsbGR48eP06VLl/P2/igVi8VCSEgIX331FdOmnbIkGD16NLfffjv33XcfFRUVjB07lksuuYT333/fsc8111yD0Whk5cqVgPQ6xMbGsmrVKkaNGtWq81/otWvt57cQTE5CCCYP4tBKqe+m8rj0c9JIuOwZ6DJe3rg8jUYDZP4I+76WjD2tFul2rV5aXTj4ZugxGXR6eeMUCBSCmgXT+Vi+fDlPPPEE+/fvR6vVtuoxb7/9NsuWLWP16tWtPo8zBJMoyQkEdipPwPInINv2TxgcB5P/T+pREqU35+MfBkN+L201JyUPq4xFkveT3a4gMFpadTj0VsncUyAQeBRXXXUV2dnZFBQUkJSU1KrH6PV63nzzTRdHdi4iw+QkRIZJxVitsGsBrP4bNNVKGY7RD8Ilfz7lmi1wHycPQPr/YO9XUFdy6vakkZJw6nedZHMgEHgZnphhchciwyQQdBRDAXz/Bzj6s/Rz8hi4+j+S0aRAHmL7wZQX4fJ5kkXBns+lFXd526RtxVMwaDYMu1PaVyAQCNxA6wqGCmLDhg3MmDGDhIQENBoN33333UUf8+uvv5KWloa/vz9du3blvffeO2efJUuW0LdvX/z8/Ojbty9Lly51QfQCRZHxJbwzWhJLOj+Y/CLc/qMQS0pB5wO9psKNX8DjmXD5c9JKuqYayTD03THw8RTIWCw16QsEAoELUZ1gqqurY9CgQbz11lut2v/48eNcddVVjB8/nj179vDXv/6VP/7xjyxZssSxz5YtW5g9ezZz5swhIyODOXPmMGvWLLZt2+aqpyGQk+YGWPYQLL0PjAbonAb3b4IxD4thskolJBbGPQZ/2A23fi95OGl9IG8rLL0XXusLa+dBVd7FjyUQCATtQNU9TBqNhqVLl3Lttdeed5+//OUvfP/992RmZjpuu//++8nIyGDLli0AzJ49m+rqalasWOHYZ+rUqURERLBo0aJWxSJ6mFRCxTH46lZpmCwamDBX8lTSieq06qgplsp1OxdIY1kANFppFMuIeyUbCNGsL/AgRA9T+3FGD5PqMkxtZcuWLeeYW02ZMoWdO3fS3Nx8wX02b9583uMajUaqq6vP2AQKJ/NHeH+CJJYCo2HOUpjwFyGW1EpInNSY/0gGzP4CulwqWRNk/QifXS2V7HZ/JmUUBQKBoIN4vGAqLi4+Zw5NbGwsJpOJsrKyC+5TXFx83uPOnz+fsLAwx9ba5ZACGbBa4ZcXYfHvpRJc0ki4fyN0c94UboGM6Hygz3S47Xt4cBsMuwv0QVByUGro/3df+PkFqC6SO1KBQKBiPF4wgVS6Ox17FfL021va5+zbTmfu3LkYDAbHlpcneicUickI394LG/4p/TzqIbj9JwhNkDcugWuI6Q3T/w2PH5Q8tMKSoaECNv4LXh8AS++H4v1yRykQCFSIx9ci4uLizskUlZSU4OPjQ1RU1AX3aWlCsh0/Pz/8/PycH7DAedRXwOJb4MRvUoPw9Ndh6By5oxK4g4BwGPMHGPkAHPoJtr4LuVskY8yMRdB1Aoz+A3SfJPqcBAJBq/D4DNPo0aNZs2bNGbetXr2aYcOGodfrL7jPmDFj3BanwMlUHIOPJ0tiyS8Ufv+NEEveiM5HWlF350q4+xfodz1odHBsPXzxO3h3LKQvAlOT3JEKBAKgvLycmJgYcnJyWv2YmTNn8u9//9t1QdlQnWCqra0lPT2d9PR0QLINSE9PJzc3F5BKZbfeeqtj//vvv58TJ07w+OOPk5mZySeffMLHH3/ME0884djnkUceYfXq1bz88stkZWXx8ssvs3btWh599FF3PjWBsyjaCx9dAeXZEJoId64S/UoCSEyDGz6FP+6RSrO+wVByAL67H/4zGDa/KQ0HFggEsjF//nxmzJhBampqqx/z7LPP8uKLL7p+8ZVVZaxbt84KnLPddtttVqvVar3tttusl1566RmPWb9+vXXIkCFWX19fa2pqqvXdd98957hff/21tVevXla9Xm/t3bu3dcmSJW2Ky2AwWAGrwWBo71MTOIP8nVbr/GSr9e+hVuu746zW6iK5IxIolfpKq3Xjv63WV3pIfy9/D7Va/5Fkta6dZ7XWlMgdnUBwDg0NDdaDBw9aGxoa5A7FJdTX11vDw8OtmzdvbvNjhw4dan3nnXfOe/+FXrvWfn6r2odJSQgfJgWQuw2+mAnGakgcAbd8Iw14FQguhMkoza3b/B8oOyzd5uMPQ+ZIfVARKfLGJxDY8AQfpgMHDvDAAw+wY8cOevXqxdtvv824ceNIT0/n6NGj3HfffZSWlp7xmEWLFnHHHXdw9OhROnfuDMDdd9/N9u3b2bhxI2FhYcybN4+ff/6ZDRs2tHhe4cMk6DCNzWZqGpvlDqPj5GyCz6+TxFLKOJjzrRBLgtbh4yf1tz24TfJz6pwGpkbY8SH8Z4i0yrIk8+LHEQjkwGqFpjp5tjbmWw4cOMCoUaMckzeeffZZZs6ciV6vp0+fPmzYsIFhw4ad87gbb7yRXr16MX/+fADmzZvHqlWrWLFiBWFh0vv8iBEj2L59O0ajseOv6Xnw+FVygvOzZFc+/1ieyezhSTw5tbfc4bSfo+tg0U1gaoCuE+HG/4FvoNxRCdSGViv5OfWeBjkbYdNrcPQX2LtY2npPl1zhOw+VO1KB4BTN9fAPmWxS/loIvkGt3v3hhx/mqquu4sUXXwSgd+/eLFy4kGPHjuHr60tOTg4JCec+F41Gw4svvsjMmTNJSEjgjTfeYOPGjY5sE0Dnzp0xGo0UFxeTkuKarLAQTF5MkJ8P5XVN/G97Ln+4rAcBviqco5a3Hb68WRJLPSbDrM9Br85UtUAhaDTSWJUul0DhHtj4KmT+IDmIZ/0oifJL/gypY+WOVCBQDTk5Oaxfv579+8/0QfPz82PQoEEANDQ0nLfUOH36dPr27cu8efNYvXo1/fr1O+P+gIAAAOrr610QvYQQTF7GyepGnvg6gxeu6c8VfWNJjAggv7KB79ILuGlEstzhtY2TB6SepeZ66DYJZi+UyisCgbNIGCL9XZVkSRmnfV/DsXXSljIWLnlCElDCy0kgF/pAKdMj17lbSUZGBr6+vucInczMTG677TYAoqOjqaysbPHxq1atIisrC7PZ3KJHYkVFBQCdOnVqdUxtRfQweRFNJgsPLNzFxuwynvxmL1oN3D4mFYBPfzuOqvr/K45LPUuNtlEnsz8XYkngOmJ6w/Xvwx93Q9odoNVLHl+fXwcfXQ6HVra5n0MgcAoajVQWk2Nrw4WCTqfDZDLR2NjouO3XX38lIyPDkWEaMmQIBw8ePOexu3fv5oYbbuD9999nypQpPPPMM+fss3//fhITE4mOjm7Hi9g6hGDyIub9cIDduVWE+vvwz5kD0Wg03DAsiUBfHYdP1rL5aLncIbaO6iL47BqoPQkx/eDmxW2qowsE7SYiFWa8Lg38HXm/tJquYCcsmg0fXApZPwnhJBC0QFpaGnq9nj//+c8cO3aMH3/8kbvuuguAwYMHA9LQ+wMHDpyRZcrJyWHatGk89dRTzJkzh+eff54lS5awa9euM46/ceNGJk+e7NLnIASTl/DbkTK+2JaLRgNv3DiE1GhJYIQF6JmZlghIWSbF01AFC6+HqhPSh9ecbyEgQu6oBN5GWGe48mV4dJ9kPaAPhKIMqZ/uvfFwcBlYLHJHKRAohvj4eD755BOWLVvGwIED+eSTT7jjjjvo3r07kZGRAAwYMIBhw4bx1VdfAVKZ7corr+Tqq6/mr3/9KyAJrxkzZvD00087jt3Y2MjSpUu55557XPochGDyEjZkS74W1w3pzMTeMWfcd5utLPdLVgknqxvPfqhyMJvg69ulKfTBcTDnOwiJkzsqgTcTHCMN+X10H4x7XHIPP7kPvroV3hsLB74TwkkgsHHzzTeTm5tLbW0t33zzDatXr+aGG244Y59nnnmGN954A4vFQmRkJJmZmbz//vtn7LNs2TJWrlzp+Pnjjz9m5MiRjBo1yqXxi6ZvL2FvngGAkV0iz7mvW6dgnpvRlzHdo4kNVfAKs5VPSc22+kD4/VcQ2UXuiAQCiaBouPzvUrZp67uw7T1J2H99G8T0hUufhD7XSNYFAoEXsmHDBkpLSxkyZAhlZWW88sor5OTksHTp0jP2u+qqq8jOzqagoICkpKRWHVuv1/Pmm2+6IuwzEILJCzBbrOwrkATToKTwFve5fazCxcf2DyUjQYDrP4T4QfLGIxC0RGAkXPY0jH4Qtr4niaeSg1JmtFMfmPAXIZwEXsnJkyd56qmnKCgoIDY2lssvv5zt27c7ynGn88gjj7Tp2Pfee6+zwrwgYjSKk1DyaJRms4UV+4vZX2DgySm98NFd+M262WxBf5F93MrRX2DhTLCaYdLfYfzjckckELSOhiop27TlHTBKFy1Sxukv0OdqIZwEbcITRqPIhRiNImgVep2Wqwcl8Ner+lxQLJXUNPLol3u44b0tbozuIpQehq9ul8TSoJtg3GNyRyQQtJ6AcJjwFDy6FybMBb+wU6W698aJ5nCBQEUIwSRw0GSy8F16IQcKDTSZFPAm3lgNX94kXZknjYIZbwiDQIE6OV04XfoU+IVCyQGpOfz9SyDzR2FHIBAoHCGYvICvd+ax+WgZjc3mC+7XOTyAED8fms1WjpXVuim682C1wg9/hPIjENpZuHgLPIOAcJg4VxJOlzwJviHSqrrFv5d8nA6tEMJJIFAoQjB5OEaTmb8u3cfNH26jtObCU5w1Gg2940MAyCqqcUd452fHR3BgKWh94IYFEOw6u3uBwO0EREjN4Y/ulQb66oMkH6dFN8KHl0H2WiGcBOdFtB63HWe8ZkIweTiZRTU0m61EBvmSGBFw0f17x0kNb5nF1a4O7fwU7IKVc6Xvr3gekkbIF4tA4EoCI2HSs5KP09hHJMuMwt3wxe/gkylwbL0QTgIHer0ecO2AWU/F/prZX8P2IGwFPJyMvCoABiWGoWlF/4/sGab6CqnJ29IMfWbAqAfliUMgcCdBUdLFweiH4bc3pAxr3jZpBFDKWJj4NKSOlTtKgczodDrCw8MpKSkBIDAwsFXv696M1Wqlvr6ekpISwsPD0el07T6WEEweTkZ+FQADE8Nbtb89w5QlR4bJYoHvHgBDLkR0gWveFk3eAu8iOAamvCgZYG56DXZ+Ig35XXAVdJ0AE/8GScPljlIgI3Fx0nQDu2gStI7w8HDHa9dehGDycOwZpsHnMaw8m15xIQT66ogL9aex2Yy/vv1qvM1sfx8OrwSdH8z6DPzD3HdugUBJhMRJs+rG/BE2/gt2fy6V546thx6TYeJfIWGI3FEKZECj0RAfH09MTAzNzc1yh6MK9Hp9hzJLdoRxpZNQonFldWMzA59bDcCuv11OVHDrVplZLFa0WjdndkqypOXVZiNMexWG3+3e8wsESqbyBGz4J6QvkjzJAHpPl4RTbD95YxMIVI4wrhSwL19yFk6MCGi1WALcL5ZMTbD0Xkksdb8Cht3l3vMLBEonIkUqUT+8AwbOBjSQ9SO8Oxa+vkMyeBUIBC5FZJichBIzTE0mC1nF1VTWN3Npz7Yvy3dbpunnF6SyQ0AEPLhVKkcIBILzU5IF6+fDwe+knzVaSUhd+hcxlFogaCOt/fwWgslJKFEwtZf0vCqe/CaDEH89Sx4Y49qT5W2Xlk9bLXDDf6Hfta49n0DgSRTvg3X/gEPLpZ+1PjD493DJnyG8dZPeBQJvR5TkBO0mLEDP4ZO1HCg0YLa4UE8ba2HpfZJYGjhbiCWBoK3EDYCbFsE9v0D3y8Figt3/hTeHwvI/Q02x3BEKBB6DEEweSklNI3O/3ctXO/Pa/NjkyEAC9Doamy2cKK9zQXQ21jwDFcek0SdX/tN15xEIPJ3OaXDLErhzFaSOB3MTbP8A3hgEq/8GdWVyRygQqB4hmDyU9NwqFm3P45NNx9v8WJ1WQ884m4FlsYsMLHM2SR4zANe+I83YEggEHSN5FNz+I9z6PSSNBFMjbH4TXh8o9Qo2VModoUCgWoRg8lD22lbIDUxsn5dRH7tgKnKBgWVzI/zwqPR92h2SIZ9AIHAeXS+Vsk2//wbiB0NznbSw4vVB8Os/oVHG0UcCgUoRgslDsTt8D2qlYeXZ9LYJpkxXZJg2/RvKsyE4Fi5/zvnHFwgEkkt+jyvg3vUw+wuI6QdGA6x7Ed4YKDmJN7mw5C4QeBhCMHko+wukDNOgVo5EOZve8S4akVKSBRv/LX1/5cuiFCcQuBqNBvpMh/s3wcxPIKqHVJpb+5zU47TlHSnrKxAILogQTB5IdWMzlfWSZX6X6KB2HaN3XAg9YoIZmhzhvJVyFgv88Ig0WLfnVOh7rXOOKxAILo5WC/1/J3mdXfseRKRCXSmsmgv/GSIN/DU1yR2lQKBYhGDyQPIrGgCIDPIlyK994wLDA31Z8/ilvHHjEHTOMq/cvQDytoI+CK76l9cM1q2oa+LNn7P501cZVNWLDySBzOh8YPBN8PBOmPEGhCZCTSH89Cd4Mw12fwZmMaNMIDgbMXzXAymokgRTUkSAzJGcRk0xrHlO+n7SM15hqpd9soZPfjvOt7sLMJosAMSG+vHk1N4yRyYQADo9pN0Og26SRNKGf4EhF77/g1Q2n/AUDLgBtG4cwC0QKBhVZpjeeecdunTpgr+/P2lpaWzcuPG8+95+++1oNJpztn79Tg2sXLBgQYv7NDaqs65/eZ8Y0p+9grduHtrhY5ktVirqnJAVWf2M1HCaMARG3Nvx4ymYxmYzDyzcxRWvbWDR9jyMJgtJkZJ4/WpnHk028SQQKAIfPxhxDzySDpNfhMBoqDwumcq+Mwr2fSOV0wUCL0d1gmnx4sU8+uijPP300+zZs4fx48dz5ZVXkpub2+L+b7zxBkVFRY4tLy+PyMhIbrjhhjP2Cw0NPWO/oqIi/P393fGUnI5GoyE80JekyMAOHWf9oRL6/X0l9362s2MB5W6DfV8BGpj+msdfsZbWGAnw1RHoq2Ny31i+um80v/xpAlP6xfLM9L7eUokUqA19AIx5GB7JkFavBkRA2WFYche8NxYOLhPCSeDVqG6W3MiRIxk6dCjvvvuu47Y+ffpw7bXXMn/+/Is+/rvvvuP666/n+PHjpKSkAFKG6dFHH6WqqqrVcRiNRoxGo+Pn6upqkpKSPGKWnJ3DJ2uY/NoGgv182PfcZDTt+aS3WOCjy6BwDwyZA9e85fxAFUqt0URwO3vIBALZaayGbe/B5rek7DBIo1gm/BV6Xek1PYgCz8cjZ8k1NTWxa9cuJk+efMbtkydPZvPmza06xscff8zll1/uEEt2amtrSUlJITExkenTp7Nnz54LHmf+/PmEhYU5tqQk5fTkPLtsP39ftp/8yvoOHadLdBC+Oi21RhP5lQ3tO0jG/ySx5BsCk57tUDxqQ4glgarxD4VLn4RH98IlT0r/w8X74Mub4MOJcHg1qOt6WyDoEKoSTGVlZZjNZmJjY8+4PTY2luLiiw+ZLCoqYsWKFdx9991n3N67d28WLFjA999/z6JFi/D392fs2LFkZ2ef91hz587FYDA4try8ts9scwVWq5Ulu/L575YTjkbj9qLXaekeEwxAZnscvxurYe086ftLn4TgmA7FowaOl9Wxv8DA+RK3FXVNvPfrUd5df9TNkQkE7SQgHC57WhJO4x6TVrkW7oH/3QAfXQ5HfhbCSeAVqEow2Tm7NGS1WltVLlqwYAHh4eFce+21Z9w+atQobrnlFgYNGsT48eP56quv6NmzJ2+++eZ5j+Xn50doaOgZmxKorG+mrskMQOfwjq+S62YTTLkV7chWbXgF6kogshuMvL/DsaiBTzYdZ/qbm/jH8swW79+bX8VLK7J4Z/0RGmy/J4FAFQRGSr1Nj+6FMX8EnwAo2AkLr4dPpsDRdUI4CTwaVQmm6OhodDrdOdmkkpKSc7JOZ2O1Wvnkk0+YM2cOvr6+F9xXq9UyfPjwC2aYlIq9DBcT4oe/vuPN1XbR1eaSXNkR2GrrM5s6H3wu/Jp7AlarlV+ySgAY1TWqxX0u6dGJ5MhAahpN/JBR6M7wBALnEBQNk1+QhNOoh8DHH/K2wefXwqdXwrFfhXASeCSqEky+vr6kpaWxZs2aM25fs2YNY8aMueBjf/31V44cOcJdd9110fNYrVbS09OJj4/vULxykGczrUx0kgdT54h2CqbVT0uO3t2vgJ5TnBKL0skqrqGgqgF/vZax3aNb3Eer1XDzyGQAFm474c7wBALnEhwDU/8hraobeT/o/CB3C3x2NSyYBsfPb/ciEKgRVQkmgMcff5yPPvqITz75hMzMTB577DFyc3O5/36p5DN37lxuvfXWcx738ccfM3LkSPr373/OffPmzWPVqlUcO3aM9PR07rrrLtLT0x3HVBP2DFNHLQXs9I0PYdqAeMZ0azlj0iLHN8DhlaD1gSn/cEocasCeXRrbLfqC2b0b0hLx1WnZm29gr21IskCgWkLipLmQj6RLHms6XzjxG/x3Onw6DXI2yR2hQOAUVLeMZ/bs2ZSXl/P8889TVFRE//79Wb58uWPVW1FR0TmeTAaDgSVLlvDGG2+0eMyqqiruvfdeiouLCQsLY8iQIWzYsIERI0a4/Pk4mzy7YIpwjmBKS4kkLSWy9Q+wWqWhniC5CHfq6ZQ41MDazJMATOpz4fJwVLAfVw6IY1l6IV9szWXgzHA3RCcQuJjQBLjqFRj7KGx6DXb/F05skrJNqeMl5/DUcXJHKRC0G9X5MCmV1vo4uJp7P9vJ6oMneen6Adw4Itn9AWT+AItvAX0g/DEdQi4sHjyFslojw19ci9UKW+dOIi7swqan246VM/uDrYT4+5Dx7GS0zprXJxAoBUO+TTh9BmbbtICUcZJw6jJe3tgEgtNo7ee36jJMggvz/pw0quqb0fs4r9pqsVgprTUS4u9DoO8F/mTMJvj5een7UQ96jVgCWH+oFKsV+ncOvahYAhiaEkFyZCA9Y4OpbTIR6q93Q5QCgRsJS4Rpr0pWBBv/DXs+lzJO/50OKWPh0r9Al0uEAaZANYgMk5NQSobJFVz79m+k51Xx0a3DuLzvBUTQ7s/h+4chIFLqZ/APc1uMctNstrAjp4Imk4UJvTzfb0ogaDOGglOlOnvGKXm0JJy6ThDCSSAbHun0LZCH2FA/AAqqLrBSrrkB1ttG04z/k1eJJZBMPsd0ixZiSSA4H2GdYdq/pFL98Huk5vDcLZIdwceT4chaYUcgUDRCMHkQmUXV3LVgB2+sda5/VOdwqYH8gqNWdnwE1QUQmgjD7z7/foIzsFqtVNY1yR2GQOA+7MLJbkfg4w/522Hh7+CjSXB4lRBOAkUiBJMHkV1Sy89ZJfx2pMypx7V7MZ03w9RogI2vSt9PnAv6i/fweBJvrzvCc98f4FBxTZsel1tez/AX13LpK+vOO0pFIPBYQhNsdgQZNgPMACjYBf+bBR9cCpk/SsO7BQKFIASTB5FnG1+SGOkc00o7dhPMgvOZV25+ExoqIboXDLzRqedWA0v3FLBgcw7Hy+ra9Li4MH+qG0xUN5ochqMCgdcREicZYNpHruiDoCgDFv8e3h8P+78FixgjJJAfIZg8CHvJLNFJHkx27ONRWswwNVTCtvel7y97GnTetfDSaDJzrLQWgMFJ4W16rK+Plt7xIQDsKzA4OzSBQF0Ex9hGruyT+iB9Q+DkfvjmDnhnFGR8Ka3EFQhkQggmD8I+viTJSWNR7NgzTGW1TTQ2n3Wlt+19MFZDTF/oPcOp51UDx0rrsFghxN/H0RzfFvp3lprjhWASCGwERcGkZ+GxfTBhrrSApOwwLL0P3kqDXQvAZJQ7SoEXIgSTB2EvyTlrLIqdsAA91w5O4N5LutJkPq2noLEatr4jfX/Jn0HrfX9Oh09KfUs9Y0PQtGNZdP8ESTDtF4JJIDiTgAjJ5PLR/TDp7xAYBZU58MMj8J8hsPU9aLrAQhSBwMl4V/3Eg7FYrI6SmbMG79rRaDS8fuOQc+/Y/oHU8B3dC/pe49RzqoXsk1I5rmdscLseP8CWYdpfaMBqtbZLdAkEHo1/KIx/HEbeJ2WXNr8prchd+RfY8AqMfkhamevvWf53AuXhfSkBD6WivglfnRYfrYa4UDesUjPWwJa3pO8veQK05x8268lkl0gZph4xIe16fM+4YPQ6DVX1zY6SqkAgaAHfIEkcPZIB01+D8GSoL4Of58Hr/eGX/4O6crmjFHgwIsPkIUQH+7F/3hSqG0z46Jyvg+3jUcwWKwnhAbDjY6nhO7Ib9Lve6edTC6U1Ui9Fj3ZmmPx8dMxMSyTQ10fMk2snJ8rrqG4w0TkigIhAvcjSeTo+fjDsThgyB/Z9A5v+LfU4bXgFtrwtDf0e/bDk9yQQOBExGsVJePJoFID3fz3K/BVZXDs4gdev7wWvD5Cu7q59FwbfLHd4slJeayTIzwd/vXdm2eTkSEkNV72xydFbF6DXkRDuT5foYJ67uq/TV4wKFIjFAlk/Sl5wRenSbVo9DJoNYx+F6B5yRidQAWI0isCpJJxuLbDrU0kshafAgBtkjkx+ooL9hFiSiZSoIP5x/QDHzw3NZo6W1rE28yRv/XJExsgEbkOrhb5Xw73r4ZZvIWUcWJphz0J4azgsngOFe+SOUuABiAyTk5A7w/TamsMcKDRw6+hULunZyenH351byfXvbCY1VMt630eg9iTM+A+k3eb0c3kjNY3NZBbVMDw1QpSU2kljs5liQyPbj1fw5JK9BOh1bHt6EqH+erlDE7ibvO3SoN9Dy0/d1nWClHESg34FZyEyTF7GtuPlrM0socJFc8kSbRmm0XVrJbEUmgiDbnLJudTCRxuPcfun21mxr6hDx2kyWUh7YS2z3t9CoaHRSdF5H/56HanRQdwwLJFRXSO5bUwqZrO4HvRKkkbATYvggS3S9AGNDo6tlwb9fjABDiwV7uGCNiMEk4dgX2HlbEsBO9HBfvjp4G7dT9INox8EH1+XnEstbDtewfpDpRRXd0zk+Ppo6R4jNY3vyxd+TK2hyWTh2rd/4/1fj55jpqrRaPjy3tE8dWVvIoK8+2/U64ntC9e/D3/cAyPuk+bVFaXD17fDW8OkxSvNYnWqoHUIweQBmMwWimyZCWebVtrRajVcH7yfbtoiTPoQGHqrS86jJo6U2D2Y2mcpcDr9O0tpYGFg2Tp+3FtIel4Vn/x2HK0orwguRkQKXPVPeOwAXPoXyRSz4hj89Li0gGXDK1BfIXeUAoUjBJMHUGRoxGyx4uujpVNw28dztJZbrT8AcDT5BvDruEhQM43NZk6US8N222spcDoDxIiUVmO1Wvl403EAbh2diq9Py29jFouVXw+X8oltX4GAoCiY+FfJPXzqyxCWBHWlkofTa/1hxV+g8oTcUQoUihBMHkCefehueIDrvHzyd9GnaR9mjQ+m4fe55hwq4mhpLRYrhAfqnSJS7TPl9hdIjt+C87P9eAUHCqvx89Fy84jk8+53sKia2z7ZzksrslzW2ydQKX7BMOp+qVR3/UcQOwCa62Dbe9LYlW/uhMJ0uaMUKAwhmDwAe/9SZxf1LwGw5U0AdANn0a93b9edRyXYR6L0iAl2yqq2PvGh6LQayuuaOtwT5el88puUMbp+aOIFe5T6dw5jYGIYTWYLX+/Mc1d4AjWh08PAG+D+jZIlQdcJYDXD/iXwwaWwYDocXiV5PQm8HiGYPIA6o4lAX53LGr6pzIGDy6TvxzzsmnOoDPvQ3R5O6F8CaYVXD9H4fVFyy+tZffAkAHeOTb3o/r8fKWWg/rc9F4tFZO4E50Gjge6T4NZlcN9GGDBLWlmXsxH+NwveGSXNsWsWFzPejBBMHsAdY7tw8PmpvHBNf9ecYOu7YLVg7TaJkoBuojEZMFuthPj50DOm4/1Ldu6/tBvPX9PPKU3knsp/t+RgtcIlPTu1SqzOGJRAiL8PJ8rr+e1omRsiFKie+IHwuw+lmXWjHwbfECg7BD88Aq/1g/UvQW2p3FEKZEAYVzoJuY0rXUZ9hdQM2VxH6XWLGb7IjK9OS9YLU71+9pnVasVksaJ3wew+Qcv8knWS9YdKmdo/jjHdolv1mOe+P8CCzTlM6RfL+3OGuThCgcfRWA27P5P6mwy20q7OTxq9MuohiBEtCmpHGFcKnMOuT6VmyNgBRPS7Ap1WQ5PZQmmtUe7IZEej0Qix5GYu6x3L89f0b7VYArjZVpb7ObOE+iaTq0ITeCr+oVIrwh/T4XcfQ8JQMBslEfXOSPj8ejiyFkTuweMR7/YewO2fbueuBTvIt62WcxrmZtj+kfT9mIfx8dERF+oPnGo0FziPZrOFPbmV/JBRKHcoHkXP2BASwvxJjgp0+JUJBG1G5wMDZsI9v8Cdq6DPDEADR3+Ghb+Dt0fCzk+gycnvwwLFIASTyrFYrGzKLuPnrBJ8tE7+dWb9BDWFENQJ+l0HQOfTh/B6KcvSC5j4r/W8uvqQU4/b2Gzmunc284dFe6hubHbqsT2BHTkV7MypOMfZuzX88sQEfvnTBLp1cl7PmcBL0WggeRTMXijZEox68FSf04+PwWt9Yc3fwZAvd6QCJyMEk8qpqG/CZLGi0UB0sJPHQOywZZeG3gY+kteQ3brA6dksFZFVXMPxsjoq653r7RPir3f8Dk+Uee/rez5eXX2Ime9tYemegjY/1l+vc0FEAq8nsgtMnQ+PH4Qp8yE8BRoq4bfX4fWB8NVtkLtVlOs8BCGYVE5JtdRLFBXki48z+2lKMqUltRotDLvDcbMjw+TFJblsm6WAK1azpUYFAZBjcxEXSJjMFjLypNWZQ5MjOnQcsc5F4HT8Q6X5mn/cA7O/gNTxkp/Twe/gkymSp9OeL4QtgcoRgknllNRI/4CdQvyde+DtH0pfe0+DsETHzXavJ28uyR22mVZ2d6KlgJ0Um2A6IQTTGWQV19DQbCbEz8fhV9UWrFYrt3+6nYHzVnOiXGTvBC5Cq4M+0+H2H+H+36SZmz7+UJQByx6UynVr54lynUoRgknllNRIGaaYECfOkGs0QMaX0vfD7znjroGJ4dwzvgvXDensvPOpiIYms2MUjWsyTNLw5BzxoX4Ge3IrARicHN4uOwuNRkN1QzP1TWZ2244laDt5FfVeXY5vE3H94eo34bGDcPlzEJoI9eWw6d9SuW7xHDi+UZTrVISP3AEIOkapKwRTxpeSlUB0L+hyyRl39U0IpW9CX+edS2UcLa3FaoXIIF+iXTDoOCVaZJhaYnduFQBDOlCOG5ocwe7cKvbkVnH90MSLP0BwBlnF1Vzz1m80mS1MH5jAwxO70ytOmKxelKAoGPcYjP4DHFoO2z+Q2h0yv5e2Tn1gxN0wcLbXDzVXOqrMML3zzjt06dIFf39/0tLS2Lhx43n3Xb9+PRqN5pwtKyvrjP2WLFlC37598fPzo2/fvixdutTVT8MpmMxWgnx1xIQ66cPbaj3V7D3iHmlFiMBBdoltJIoLynEAXWwlueOi6fsM7Fmhocnh7T7G0JSIM44laD1NJguPL87AaLJgtcIPGYVMeX0DD36xC5NZzFlrFTof6Hu1VK57YAsMuxP0QVCaCT/9CV7tA8v/DCVZFz+WQBZUJ5gWL17Mo48+ytNPP82ePXsYP348V155Jbm5uRd83KFDhygqKnJsPXr0cNy3ZcsWZs+ezZw5c8jIyGDOnDnMmjWLbdu2ufrpdJhHLu/Bgeen8vgVvZxzwOO/Qtlh8A2WrnhaoMjQwJ7cSmqN3mcCqNdp6d85lP6dw1xy/K6dgvj7jL68MnOgaE62UVZrdPQdDUnqWIYJpH4oYWDZNt5ad4SDRdWEB+r5/K4RXDUgDpBm0jp1sYm3ENsXpr8Gf8qEqS9DVHdoqpGyT++MlIb+HlgqeeEJFIPqRqOMHDmSoUOH8u677zpu69OnD9deey3z588/Z//169czceJEKisrCQ8Pb/GYs2fPprq6mhUrVjhumzp1KhERESxatKjFxxiNRozGU27X1dXVJCUlqX80ype/h6wfYfjdMO3VFne57F/rOVZWx6J7RjG6W5SbAxR4G81mC3vzDRwpqWH28OQOHWv0/J8pMjSKv9028vnWE7z400FemTmIGYMSAGkAtV6npYutjCzoABYLHF8POz6WynZWW9YuOFZqHB96G4QnyRqiJ+ORo1GamprYtWsXkydPPuP2yZMns3nz5gs+dsiQIcTHxzNp0iTWrVt3xn1btmw555hTpky54DHnz59PWFiYY0tK8oA/5qo86Z8Vzmn2Pp1Otn4p+wo9gcCV6HVa0lIiOiyW4FSWSZTl2sacUSls+PNEh1gCadGDXSxZLFaqnOxL5lVotdDtMrjxC3h0H1zypCSWak/ChlfgjYHwv9lweBVY2m7cKnAOqhJMZWVlmM1mYmNjz7g9NjaW4uLiFh8THx/PBx98wJIlS/j222/p1asXkyZNYsOGDY59iouL23RMgLlz52IwGBxbXl5eB55Z+7BarVz3zm/cuWAHlXVOeLNK/0K6skkdf8GBkrG28Sh2Dyhvwh0J2RPldSxLL2BnToXLz+VtjOsRzaU9O5EcGSh3KKrg9P6kmNCWrUu2HC3nslfX88TXe90VlmcTlgiXPQ2PHYAb/istvLFa4PBK+N8seGMQ/PpPqC6SO1KvQ5Wr5DRnNSJbrdZzbrPTq1cvevU61d8zevRo8vLy+Ne//sUll5xaAdaWYwL4+fnh5+f8VVJtobrBxB7b6qEA3w46GVvMsGeh9P3Q2y64a4yXZpjMFiuD560mJtSPb+4fQ0SQk53VbSzdU8Dra7OZPSyJYamRLjmHWjCZLbzw40EGJoYzY1ACvj4du8a7aUQyN43oeKbKG9h1opInvs7g5d8NZESX8/8ddgrxI6e8nhMV9eRV1JMkxKhz0Omh37XSVpYNuxZI79GGPFj3Iqx/CXpdCWm3S9kprXCzdzWqyjBFR0ej0+nOyfyUlJSckyG6EKNGjSI7O9vxc1xcXIePKQd2wRLi79Px0Q/H1kv/iP5hkvHaBbBnmE56WYbpZHUjNUYTJ8rrCQ3Qu+w89jKHcPuWGrT/u+UEz/1wAJ92+C8J2s/b645wvKyOL3dceEFN95hgxveIxmqFhdtOuCk6LyO6B0x5Ef50CK77AJJHS07iWT/CFzOlrNP6l4QhpotRlWDy9fUlLS2NNWvWnHH7mjVrGDNmTKuPs2fPHuLj4x0/jx49+pxjrl69uk3HlAO7aWXseVLlbWL3Z9LXgbNBH3DBXe0WBt6WYcq3jYNJCA9A58IP71Nu38JawGFYmdQ+w8rzUVLdSKEXu9VfjPomE5uOlAFw3yXdLrr/raNTAVi8I69dw5EFrUTvD4Nmw50r4cFtMPIB8A+XLnbXz4fXB8AXN0Dmj2KFnQtQXUnu8ccfZ86cOQwbNozRo0fzwQcfkJuby/333w9IvUUFBQV89pkkAF5//XVSU1Pp168fTU1NLFy4kCVLlrBkyRLHMR955BEuueQSXn75Za655hqWLVvG2rVr2bRpkyzPsbXYBUuHTSvryiHrJ+n7obdedPeYEO/sYbI7HNvHw7gKu9t3cXUjDU3mjpdbVYzdsLIj8+PO5vW1h3l9bTZzRqXwwrX9nXZcT2JTdhlNJguJEQH0jL2459hlvWNIjAggv7KB7zMKmTXMAxbBKJ2Y3nDlS5KLeOb3sOu/cGITZK+WtqAYGHwTDLkVorvLHa1HoDrBNHv2bMrLy3n++ecpKiqif//+LF++nJSUFACKiorO8GRqamriiSeeoKCggICAAPr168dPP/3EVVdd5dhnzJgxfPnll/ztb3/jmWeeoVu3bixevJiRI0e6/fm1Bbtg6bBg2vslWJohfjDEDbjo7l07BXHfpV1JivCuXgV7hsnVgik80JewAD2GhmZOVNTRO07FNhUdZNcJm2FlivMEU48YyU1ZrJQ7Pz9nlgBweZ/YC/Zy2tFpNcwZlcL8FVn8d3MON6QltupxAieg94eBs6St7Ajs/i9kLIK6EvjtDWlLHg1D5kDfa8DPNaa73oDqBBPAgw8+yIMPPtjifQsWLDjj5yeffJInn3zyosecOXMmM2fOdEZ4bsMxR64jJTmr9VQ5rhXZJZBKgHOv7NP+c6oUe4apc7jrhWJqVCAZ+QZyyuq9VjCV1RrJrahHo5FKcs5iaIp0LLuBZaCvKt8GXYbFYuWXQ5JgmtQnptWPmzUsiX+vOcyBwmr2FRgYmBjuoggF5yW6O0x+ASY9K62q2/05HFkDuVukbcWTUhP5kDmQNFJMcmgj4p1CxVitSGNROpJhyt8JpVngEwAD1CUY3U1BlXsyTCD1MWXkG7x6plxGXhUA3TsFE+bEJvv4sADiw/wpMjSSkWcQBpZnsa/AQGmNkSBfHSO7tP61iQjy5dkZfeneKZgBLnLCF7QSnR76zJC26kIp47RnIVQck77uWSi5iw++GQbeCGHeOUy9rQjBpGKendGXZ2f0xWLpgDfQ7v9KX/tdK62QayUnbU2zyZGBRLlgCK0S6dYpGENDM6lucDa+bUwq1wxOoF+C937wHC+TxGLveOdn2IYmR/DTviJ251YKwXQWGg1M6h1DWIC+zTYOvx+Z4qKoBO0mNAHG/wnGPS5lmfYshAPfQfkR+Pl5+PkF6DYRBv8eek+76KIfb0Z1o1GUSmut1RWFsQb+1Qua6+COFZDS+lWBs9/fwrbjFbxx42CuGSyuTgTOx2q1Ul7XhNFkoXO4c9/E3/v1KC+tyGLGoATevGmIU4/tKVzMi06gYow1cPB7SP+f1Chuxy9UungedJPU9+Qlv//Wfn6LDJM3c2CpJJaiukv/HG3Am92+Be5Bo9EQ7aLspX3lV/bJGpcc3xNor1jaX2Bg8Y48EiMCuO/Si1sSCFrmaGktTSYLfVyQYcUvBIb8XtoqjkPGl5DxP6jKlXpad38GEalSuW7gLIgSv0dQmQ+T4BT1TSam/Wcjd3y6HaOpnb4ndmfvIXPafCUR62VeTCazxS1jUexYLFZ+3FvI2+uOCF8bF9AvIYx7xnfh3ku6yh2KojhUXENeRcf8v3LK6/h86wm+Sy90UlTex7L0Aqa+voEr39jIP5Zn0mSyXPxB7SWyC0ycC3/MgNuXw5BbwDcEKnPg15fgzaHw0eWw/UOo9+5xTUIwqZSSaiMHCqvZeqwCX107fo0VxyBvG2i0MOjGNj/c7sXkLW7fP+4tos+zK/nTVxluOZ9GA3OX7OOVVYc6/AGmRspqjdy5YAcvrchyiVCNDfXn6Wl9uX5ootOPrWZeWpHJ+H+u44sOOHbbG8Uzi6qdM+PSi7BarXyw4SiPfJlOs1n6u/9gwzGuf/c3jpXWuvbkWi2kjoVr3oYnDsP1H0H3y6XPiPwdsPwJ+FdPWHQT7P8Wmr3P+FUIJpVyylLAr32p871fS1+7ToSQuDY/3O72fbLaOzJM+ZX1NDZbcNd0Do1GQ0q0ZF9gb372Jg6frOGXrBJW7C8SfTRuor7JxG9HywEYltL+GYadQvzoESOVPLcd9+6MRFvZm2/gH8uzALhzbBfeuyWN8EA9+wuq+XDjcfcF4hsIA2+AW5bA41kw5R+SR5+lGQ4th2/ugFd6wNIH4Ogv0ixSL0D0MKmUDrl8W62SWSVIo1Dagb2HqbTGOzJMdtPKzm6wFLCTEhXE/oJqrxyRcrREupru3sl1JnuGhmYOFdcQ6Kujv1gGz29Hytvk7n0hRnWNIruklq3Hypnav+0XZN7KoKRwnpzaC1+dlrvHS+XiwUnhvLr6EE9Pk8n7LiQWRj8kbSWZsPcr2PcNGHKlvqeM/0mu4v2vhwE3QOc0j20WFxkmlXLK5bsdppUFu6SSnD5QWkbaDuxCzXsyTHYPJve5m3eJ8t4hvEdLpefcPcZ1gumLbSeY9f4WPtx4zGXnUBM/Z54EWu/ufSHsVg1bj5V3OC5v48EJ3R1iCSAuzJ9XbhhEsJ8C8hsxfeDyv8MjGXDHShh2JwRESK7i296DjybBfwZLdgUnD8gdrdNRwG9A0B7sJblO7ckwZdiyS31mtNsmPy7Mn/su7UpsiD8Wi9Wpg1GViDtNK+2k2GbKeWOG6Ygtw9TNhRkm+4iU7JMu7g1RARaLlZ+zJHfvy3q33t37fIzsIpX0soprqKhrIjLIt8PH9FQam838Y3kms4YlXTTTebysjg83HmNA5zBuGpHspghbQKuFlNHSNvVlOLZOyjpl/SQ1i298Vdo69YH+v5OyTx6w0k4IJpXiKMmFtlEwmZthv23w8MBZ7T5/oK+P14xHsVisFLhpjtzp2A0yvTPDZBNMLsww2ctOR0trMVus6Dxc9F+IzOLqU+7eXdvfv2QnKtiPXrEh1DebKKhsEILpAvy0t4jPtpzg58wSNjw58YJ/h5uyS/nftlySIwOZNSxJGX+zPr7Qc4q0NdXBoRVSU/iRNVCaCev+T9riBkK/66QtsovcUbcLIZhUio9WQ4ifT9tLckd+hoYKqebcZYIrQvM4SmuNNJkt6LQa4joyt6+N2DNMBVUNNJksbXZdViu1RhNFBumCwJU9TIkRgfj5aDGaLORV1LvFwV2ppNvG0AxNicDPR+eUY37zwGhC/J030sZTWWhbkXjzyOSLCqCZaUm8uuYwuRX1rDlYzNT+8e4IsfX4BkkjtgbMhIYqKeO0/xs49isU75W2n+dBwhBJOPW9RvJ7UglCMKmUf84cxD9nDmr7kmt7s/eAG0DXsV9/SU0jBZUNxIX5Ex/muXb6zWYLU/rF0mSy4NMeC4d20inYj49vG0ZCeIAyriTdRFFVA0G+OgJ8fQgLdN0Hrk6roVunYA4WVZNdUuvVgmlKvziigvwI9HWOWAKEWGoFBwoN7MmtQq/TMGtY0kX3D/DVccvIFN5ad4QPNx5XnmA6nYDwU+aYdeWQ+b1klpyzEQr3SNuaZyF+sOQu3vdaxWeexGgUJ6GK0SiNBslHw9QI9/4KCYM7dLg/LtrD9xmFPH1VH+4RBoACJ2K1Wqmsb3Z5KeeRL/ewLL2QP0/pxUMTu7v0XN6K2WLFYrWid+PFhlqY++0+Fm3PZfrAeN66eWirHlNS08i4l9bRZLbw7YNjGJoc4eIonUxtKWQuk+bZnfgNrKeZcsYNhL5XQ59roFNPt4XU2s9v8RfsTRz8XhJL0b0gflCHDxfrZV5MAveh0Wjc0vdi9wuyN5kLnMvzPxxk8LzVrDl4Uu5QFEdNYzPL0guAtg0tjgnx55rBCQB8pMYVnsGdYPjdcPuP8KfDMP016HKpZJBZvBd++T94ezi8PRJ+eRGK9kpWOApAlORUSLGhkTsX7KBzRAAf3jqs9Q/cu1j6Omi2U3wyHPPkPNyLqb7JRIBeJ4uBYnpeFZuPltEnLpSJTli9JDiTy3rHEhboy5CkcLlDkY0jJbWs2FfEsNRIhx2As7BYrdQYTWw5Ws5VAxRcPpKB7/YUUN9kpntMMKPa2Gh/9/iufL0rn5X7i8mrqCcp0n12J04luJNkTTDsTqlsd+gnOLhM6nkqzZK2Df+E8BRpVXefGZA4QlqlJwMiw6RCigwNHCyq5kCBofUPMuRDjm0q9YAbnBJHJy/xYrrv8130eXYlK/YVuf3cGw6X8s+Vh1i5v9jt55aLuxbs4L7Pd5LjBofzvgmhzBmV4tXGlb8dKePVNYf5YMNRpx97VFfhx3Q+9DotsaF+/H5kcpsvxnrFhXDt4AQenNCdICX4MzmDoCgYeqvkLv7nI3Dd+9B7OvgEQNUJ2PIWfDJFWnEnEx7ySnsXDg+mtqzY2v8tYIXkMRDuHP8Ob3H7LqhsoLHZ4tIG5POREC410xcavGNuU7PZwq+HSzFZrPx9Rj+5w/EKMvKrABiYGO70Y9v9mLJLaimrNRId3A7fOA/lxhHJ/C4tEbOlfeWm128c4uSIFERAuDTjdNCNklXBkZ8h8wc4vAp6TJYtLCGYVIhjjlxbTCsPLJW+Dvid0+LwBrdvi8VKvs20MsmNLt92OtsEk90HytM5UV6HyWIlyFdHfJh7LByyiqvZm29gcFI4PWND3HJOJbEvX8pUD0x0fpYtIsiX3nEhZBXXsPVYOdMHJjj9HGpGr9Oid97CRM/EN0hqBO97NZiaQCufbBElORVSWt3GOXKVOVC4W2qq63O10+KIsWWY6prM1BpNTjuukiirM9JkkobuxrnpA/x0HIKpqqHtFhIq5EiJVIbrFhPstp6xt9cd5clv9vKLzenam6gzmjhiMwkd4KKypBiTciY1jc1sOVqO0dTxgbV1RhMr9xfz1Y48J0SmAnx8ZetfAiGYVMmpDFMrP8APfCd9TR0Hwc5rHA728+EPl3Xn7zP64qkuQfYZcnGh/rIsi44L80ejAaPJQnldk9vP724cDt8uNKw8G/tKOW8ckbK/wIDVKv19x7jIlDUtRVr2bs9keTubssu46cOt/O7dzR0+1t58A/cv3MXLK7OwtLO0J2g9oiSnQhyCqbVjUezluH7XOT2WP03u5fRjKgk5hu6ejq+PltgQf4qrJZNQT+8BsS/vd+XQ3bNxCKaSGredUynsK3BdOc7OwM7hXNKzE0OTw112DjWx6UgZAMNSOj6CZlhqBMF+PpTXNbGvwMAgL17t6Q5EhkmF+PloCfH3aV1JruIYFKU7vRznLeRXSoNv3TlD7mwSwqUr/8Iqz+9jcsfQ3bPpYetbOlJS63VX6QcKqwHXCqbkqEA+u3MEj17uPiNCJbP5qFSaHNs9usPH0uu0jLMdZ/2h0g4fT3BhRIZJhbx7SxpA63pa7OW4LpdAUMf/Qc+mrNbIifJ6IoN86eKBoyVSIoOY3DeWoSnyuek+f01/dFoNqVGe9/qejb9ei79eS/cY9z3XlKhA9DoN9U1mCg0NsmUT5eCVmQO595KuhMuwAtQbya+s53hZHTqtxilDjgEm9u7EygPFrDtUwiOX93DKMQUtIwSTimlVU6wLy3EA7/96lA83HufucV342/S+LjmHnEwbGM+0gfIa7nmTR9DX949xe5ZHr9PSJTqIwydryS6p9SrB5KPT0ifePaOcymuNVDU0uzV7qDQ2H5GyS4MSwwh10qy9S3tKfakZ+VWU1xqJ8vCyvZyIkpwnU35UsprX6KD3DJecwlvcvgXuQ6vVoHXzsGFHWc4LG7/dwY97C0n7v7XMXbJP7lBkxd6/5IxynJ24MH/6xIditcLG7DKnHVdwLkIwqYyjpbVM+89GHv7f7ovvbM8udb1UclF1AZ7s9m21Wqmsa5J9Of/J6kbeXX+Ut9cdkTUOT+aucV34/K4R/C4tUe5Q3MbXO/N44usMfj3s+t6XHjGSID1QaPC6PjE7VquVzUedL5gAJvTqBJxq4he4BlGSUxknDY0cKKymyWS5+M72/qV+17ssHk92+zY0NDPkhTX467Xs/fsUfH3kub6orG/i5ZVZRATqeWhid1licAfP/3CQzUfLeGBCN64Z3Nmt51bdxHcn8EtWCSv2F9MjJphLe3Zy6bm6dQrCz0dLXZOZExX1Htnv2BoW3DGCTUfKGOLkFYO3jk7hpuHJJEd5TzlZDoRgUhllNi+eqOCLTHIvy4aT+yRX1N7TXBaPXTB5Yoap2PacAvQ62cQSnBqPUlnfTH2TiUBfz/y3PVBoIKu4pt2jIgRtY6/NF2mAC1fI2bH3SqXnVbG/wOCVgkmj0dC/c5hLehLjw+RbxetNiJKcyiivlTI5F23ss2eXuk6EQOesxmgJu7WBJ7p9FxkkwRQn85tRqL+eEH9JJHmytcBx27DdrjI1Bf+4t5BXVmVRVut52dKzKa81UmD7W3KVw/fZ9EuQmsv3F4qykSuRu4XAkxGCSWWU10oZpuigi2SYXLw6zk6Qnw/BtmnZJR6WZTppF0ytNQh1IfYRKfkeOlOuocnsWDiQEilPWeHV1Yd5e91RDp/0fANLe69L105BhDhptdbFsGdWDtq8n7yJZrOFv3yzl6V78mk2t6Kdoh0cK63l7v/u5OYPt7nk+AKVCqZ33nmHLl264O/vT1paGhs3bjzvvt9++y1XXHEFnTp1IjQ0lNGjR7Nq1aoz9lmwYAEajeacrbFReQKgvK4VGabyo1BywFaOu8rlMf1xkjQeJSzAs7xcTmWY3D9D7mzsgqmwSnl/k87AbhAa4ucjmydQiq3/40R5vSzndyf2ctxAN1pWODJMBQavy4Kk51WxeGceL/yYic5FMxKD/X1Ym3mSLcfKPbKnVAmoTjAtXryYRx99lKeffpo9e/Ywfvx4rrzySnJzc1vcf8OGDVxxxRUsX76cXbt2MXHiRGbMmMGePXvO2C80NJSioqIzNn9/+T8oz6asthU9TIeWS19Tx0GA65tZ772kG3eM7eJx/h/2vqxYF83YagudI+xDeD3zwzy3QnpeyVGBbhu6ezZ2Y9AcW2nQk3EIpsRwt52zZ2wIc0al8NSVvb2uT22Tbbn/mG5RLrPMiAnxp39nSZRucMPKR29Edd2j//73v7nrrru4++67AXj99ddZtWoV7777LvPnzz9n/9dff/2Mn//xj3+wbNkyfvjhB4YMGeK4XaPREBcX59LYnYGfj5awAD1RQRcQJ1k/SV97T3dPUB6Kvek7XgEZpgQPzzA5BJNM5TiAVFuGKafc8wVTndGERgN9E9xjWgngr9fxwrX93XY+JfGbC/yXWmJCzxj2F1Sz7lCJV1lkuAtVCaampiZ27drFU089dcbtkydPZvPm1k1+tlgs1NTUEBl5ZiN0bW0tKSkpmM1mBg8ezAsvvHCGoDobo9GI0Xgq7Vld7Z66/Fs3D73wDrWlkLtV+r7Xla4PCKmBNKe8jmA/Pb3iQtxyTncwsksUfj5ausfI/5yuG9KZCb06OUpznoa/XkfP2GDHIFw5SI22Z5g8M4t3OovuHUVDkxkfnTzZPG+i1mgiPa8KwDH3zVWM6xHNW+uOsCOnAqvVKlu21lNRlWAqKyvDbDYTGxt7xu2xsbEUFxe36hivvvoqdXV1zJo1y3Fb7969WbBgAQMGDKC6upo33niDsWPHkpGRQY8eLc/mmT9/PvPmzWv/k3EVh1cAVkgYAmHuucL4Zlc+81dkcd2Qzrw2e7BbzukOHpjQTe4QHMSG+iuiNOgqbhqRzE0jkmWNwVGSK6/DYrG63W3c3QT46tx+zsZmMweLqqmqb+Ky3rEXf4AHsP14OSaLleTIQJJcnEEdlBiOj1bDyWoj+ZUNLj+ft6G6HiY4d4Zaa5X0okWLeO6551i8eDExMTGO20eNGsUtt9zCoEGDGD9+PF999RU9e/bkzTffPO+x5s6di8FgcGx5eXntf0LOxFGOc5330tnY3b5Fo6FAzSRGBOCj1WA0WThZ45mlT7nZX2Dg+nc289dv98sditvYlC3Nj3N1OQ4kEWxvrt+dW+ny83kbqsowRUdHo9PpzskmlZSUnJN1OpvFixdz11138fXXX3P55ZdfcF+tVsvw4cPJzs4+7z5+fn74+bm3ybnI0MCdC3bSOdyfj24bfu4Oxlo4uk763o39S54omIwmM3VGMxGBesWktT/aeIyc8joemdTT8Zp7AvYVU3K/zj46LQvvHkl8mD8xIZ6bzXvz52x+PVzKrWNSuXpQglvP3Sc+FI1G6g8sqzUS7WELRVrC7p02qqvr/PBOZ1yPaAJ8dQR5qMGtnKgqw+Tr60taWhpr1qw54/Y1a9YwZsyY8z5u0aJF3H777fzvf/9j2rSLZ16sVivp6enEx8s7pf5sSqqNZBZVc+B8PiZHfwazESK7QqfebovLIZg8yPAvPbeKoS+sYcrrG+QOxcFnW06wcGuuxzUll9YaGfDcaqa/uVH2OWOjukaREhWEzoPLcbtzK9l5ohJDQ7Pbzx3k5+Nw+T7v+5iH8d6cNPY8cwVX9HVPCfLPU3rz5b2judxN5/MmVCWYAB5//HE++ugjPvnkEzIzM3nsscfIzc3l/vvvB6RS2a233urYf9GiRdx66628+uqrjBo1iuLiYoqLizEYTrnNzps3j1WrVnHs2DHS09O56667SE9PdxxTKZzyYDqPpUDmj9LX3tPAjVfrnWxXiRV1TS4zZXM39hVykRczCHUj9obvAg8zr8yrqKfWaKKqvtnj+4aUQHZJLQA9ZWqw75cgeT/t96JBsRFBvh470sibUN1vcPbs2ZSXl/P8889TVFRE//79Wb58OSkpKQAUFRWd4cn0/vvvYzKZeOihh3jooYcct992220sWLAAgKqqKu69916Ki4sJCwtjyJAhbNiwgREjRrj1uV0MhwdTS5YC5mY4bDPkdLOdQESgLzqtBrPFSkVdk0c0Jxcb7JYCylmVZrcWKPCw8ShKsBSwc7S0lh8yCgnx13PXuC5yh+N06owmh1t8z1h5Vn/2Twjlh4xCDogRKS6lqr4Ji1VZF31qR3WCCeDBBx/kwQcfbPE+uwiys379+ose77XXXuO1115zQmSupfxCppU5m8BogKBOkNhCf5ML0Wo1RAX5UlJjpLTG6BGCye7yraTncsq80rMEk91ZWwmCKa+intfXZtMrNsQjBdMRW3YpOtiXCJk+SO0jUryhJPfc9wc4fLKGByZ0Y3yPTm477z+WZ/LBhmM8MqkHj13R023n9XRUKZi8Ffvg3RYbJe2r43pdCVr3Lxd+aGJ3rFarYxiv2rG7fCthjpydzuGSePO0Abz2DJMSlkDb+2s81VrAPievh4zeYvZVXCfK6zE0NHvcSKXT2XSkjCMltW4X3/b/JbFSzrkIwaQiyuvsJbmzrgytVtndvW8bkyrLeV2FvYcpTkEluc7h0pugJ/YwgTIyTJ3DT1kLFFc3OsqgnoI9w9QzVj6D0PBAX168rj/dOgUToHf/xZ27qGls5mip9Hq7cwQNQFqyNBJrT24VZovVoxcxuBPVNX17M3qdhvBA/bkZpsI9UFMI+iDocqk8wXkYxQoavGsnwZZhKqhq8KjhpUrqYfLRaR1X5562GhGk0UrxYf70kKl/yc7vR6YwqmsUvj6e+xG0r8CA1SqJcHfbgPSKCyHEz4dao4lDxTVuPbcnIzJMKuKfMwfxz5busA/b7T4J9PJ8wFfUNXG8rJYAvY9b51O5iqsGxJNfWa+oUSRJkYGseGQ8nSMCZPcschYWi5UBncMI8a9XREkOpJlyx8vqyCmrZ4xyzN6dwuOTe/H45F4eJbiVSkae1NQ+OCnc7efWaTUMTg5nY3YZu05UeMR7shIQgskTsK+Oc9PsuJZYll7AvB8OMm1gPG9fbN6dCnhmel+5QzgHvU5Ln3jPeuPTajUtm7DKSEpUEFDqkRkmO3IL7sq6JtYdKqHOaGLO6FRZY3EVGbb5cYOSwmQ5f1pKBBuzy9h5otJjX2N3IwST2qkuguK90vfdr5AtDHuZ0JPcvgXeiaPxu8yzBJOShrEWGRp5/KsMwgL03DIqRTFxOZOM/CpAmu8mB8NSJGfxXSdE47ezEIJJJRgampn9/hY6hfix4I4Rp5r4jthczxOGQrD7lq2ejb1GX+YBgqmmsZlms1VRY1HsrDpQzMbsUib0jPEIJ99mswUfrUZRr/P0gfGM7xFNYoQySoTO4ptd+fxz1SGuG9KZv17VR9ZYusVIbuqGhmZKPMSK5HQam810jwnGaLI4bBTczeDkcG5IS2RYaoRHrviUAyGYVEJZrZGs4hoKqhrOXPFgL8f1nCJPYDY8aZ7ct7sL+Pv3B7hqQBzv/D5N7nDOYMfxChZuzcXfR+cRgukfyzP5Zlc+j0zqwd3ju8odDgBRwX5EeeCMsyMltZTWGDE2m+UOBT8fHV2igzhSUsuh4hqPE0z+eh2f3zVS1qxesJ8Pr9wwSJZzeyqeu0TBw7CbVp6xQs7UBMfWS9/3mOz+oE7DLphqjCYamuR/Q+4IdksBJQ5gjbc1oduNNdVOXkU9NY0m/D14eblScHgwybxCzk4vWxz2uDwRJWVOBR1HCCaVYDetPMODKXczNNVCUAzED5YnMBshfj742ZYIl6l8CG+xAl2+7STYbA4KDZ7hxaQkS4HT+WLbCR7/Kp19+Z4zvuPwSckTqIdMM+TOxj6axROXvdc0un+wcUuYzBb2Fxj4PqNQ7lA8AiGYVEJZXQtjUbJt/Us9rgCtvL9KjUZzqiznIYIpXkEeTHYcGaYq9WeYrFarYgXT2oMn+XZ3AXsLquQOxSnUGU2OkTpyzZA7m15xknA75GEZJqvVyriX1zH2pV8cpqxyUVzdyPQ3N/H44nTVZ/6VgOhhUgmODNPpJTl7/5LM5Tg791/aDbPFSoKC3LHbg70kp+QMU0lNIyazBR+deq95SmuMNDZb0GpQnKN2anQQHCp1zLlTO6dmyPnJNkPubHqeVpLzpKbkHNvIl4Zms+zGt53DA4gL9ae4upGM/CpGdY2SNR610ybBlJeXR1JSkqtiEVwARw+T/c2u4hiUZ4PWB7pNlDGyU9wyKkXuEDqM1WpVpMu3nehgP/Q6Dc1mKydrjIoy1mwr9uxSfFiA4hyf7dYCxz3EWsDeJyTnSJSzSYkK4tPbh9MrLgRPavWx+y/1TwhFL/MFjUajYUhyOCv2F5ORJwRTR2nTb7N3794888wz1NV5xpuImtBpbWNR7Bb79nJc8mjwl2fZqidS3WiiwbaKKE6BGSatVuPIfBWpfAivUstxYDevhBMeYl4Z4q9nVNdI0lIi5A7FgU6rYWLvGBLCPce5HiDdYVgZLmscduxz7PZ6UD+eXLQpw7RmzRoee+wxPv74Y1588UXuuOMOV8UlOIvnru7Hc1f3O3WDwspxII1HOVZai79eJ5v3SEexWKzcPiYVQ0MzAb7KXLn1v7tHERaoJ9Rf3RX1iCBfJvbqxACZjP0uRBeHYKr3iHLR1P5xTO0fJ3cYXoHdsFKOkSgtYXcatws5QftpU4ZpzJgxbNu2jZdeeolnn32WIUOGsH79eheFJjgvTXWQs0n6Xmb/pdNZvq+Ime9t4T8/Z8sdSruJCPLluav78drswXKHcl6SowIJC1CeqWZbmdgrhk/vGMHjV/SUO5RzSAj3x0erwWiyUFSt/gZ7pXKkpJZ/rznMRxuPyR2KU2gyWThQWA2cyuzIzYDOYWg00tDucpUvyJGbdhVYb731Vg4fPsyMGTOYNm0a1113HUeOHHF2bILzcXwDmI0QngzRyvmwcYxHEf+UApXjo9OSHBmIRgOFKi99mswW6owmucNokbzKev7zczZf78yXOxSncPhkDU0mC6H+PqRGKaPUHOKvp6utJ0+U5TpGu3P6VquVyZMnU1NTw3/+8x9WrFjBQw89xHPPPUdIiDKWrXoKzWYLM97cRFSwLx/MGUaQoxw3BSV1S3qC23dZrRENEBnkq9gMzv4CA1/uyCU+LICHJnaXO5x2U93YTKi/Xu4wzssX94wkMsgXPx9llmZby/7Caq59+zcGJYWz7KGxcodzBnbzyqOltTSZLIpr/m8r/nodt4xKxkerVdT7x1+v6kOAXqeYviq10ibB9N5777Fjxw527NhBZmYmOp2OgQMH8tBDDzF48GC++OIL+vbty9KlSxk2bJirYvY6KuuayCquQauBAB/tqYZvBZXjAGJOE0xKGvTZFl5dfZhF23N59PIePHq5crJ3p1NkaGTh1lwGdA5TrWBqbDYz8LnVhPr7sOmpyxQpnOJVbo9hx24pEKhAN/X4MH9C/HyoMZo4XlZHrzh1X2x3jwnm/64dIHcY5zCpj/rHKCmBNgmmF198kVGjRnHbbbcxatQohg0bhp/fKV+gO++8k3/84x/cfvvt7N+/3+nBeitlNkuByCA/tOWHoToffPwhdZzMkZ2JvSRnNFmoNZoIUeCH4MU4qWAPJjt2Q80iFbt951dKK+SsVsklXuA6jpVKgqlbTJDMkZyLRqOhZ1wIu05UcuhkjeoFk8CzabMP08W46667eOaZZ9odkOBcyuukEld0sC8c/UW6MWUM6JV1BRzgqyPYz4dao4nSGqMqBZOSPZjs2E0ey2qbMJrMqiwZ2S0FkiIDFZuJzKuQ+mssVnh1lnqHmB61C6ZOyvFgOp2esZJgOlxcA+p9mbFYrOwtMNArNkSRK2xX7i9i14lK7hrXVdHvb0rG6QXjmJgYfvnlF2cf1quxm1ZGnS6Yul0mY0TnR+19THaXbyV6MNmJCNQ75vYVq3QIb265XTApS/Sfjtli5etd+fy0rxCr1Sp3OO3mWKnkJdVVoYKpV6xnjEg5UVHPtW//Rtr/rcFsUd7fy9vrjvLhxuPsOlEpdyiqxemCSaPRcOmllzr7sF6NfZhtbIAGTvwm3dhVGe7eZ3PfJV15/pp+JCtkhUhbaGw2U2Gb2afEOXJ2NBqNI8tUqNKZcvmVUjkxKUK5fyedIwLQaTU0NlsoUekFgMlscYx36dZJeSU5gJ62MlyOyl3VD9rsBHrEBKNToG/XwETJj2mvzSdK0HZE84AKKLd9iA/SHILmegiKgdh+F3mUPNw4IlnuENpNSbX0oejnoyUsQNnlxPgwf46X1am2j8khmBTo8m1Hr9PSOTyA3Ip6csrqFN3Xdj7yKxtoMlvw12sVO+NxSFIE656YoEjH97ZwoFBast83IVTmSFpmUGI4X2zLFQaWHUDdazi9BK1GKsP0b9gl3dDtMkXZCXgKjnJcmL9i+2rs2FdwnaxWZ+Yjv0rKeiRGKPND3E6KLVOq1iG8Wo2G2cOSmDYgQbFu5QG+OrpEBykyK9MWDhZJGaa+CcqccjDQ5vi9v8CgyJKhGhAZJhXw5ym9+fOU3ljff1G6QSHDdluisq6JI6W1+PloFeN021oig3y5fUyqKkaOzL2qN8/O6KuKWFtiXPdOdAr2cwy5VSopUYFszIYTFeosFyVHBfLyzIFyh+EV2EtyfeOVmWHqERNCoK+OuiYzx0pr6RErViS2FXW+23ojdWVoijKk77tOkDWUC7H6YDF/WbKPib068ekdI+QOp010jwk+c16fgrFbOKiVp67sLXcIrSIlUhJ0OSrNMKmFjdmlfL0zn4GJYdw9vqvc4bSZ0hojJTVGNBroE69MIaLTauifEMb2nAoy8g1CMLUDUZJTC8fWA1aI7Q8hyh2iaV8lZ/eOEgjUjL0kV9uozNEiFyOvop7GZrPcYVyU/MoGvs8o5NfDpXKH0i7s5bgu0UEE+io3D2Fv/D5UXC1zJOpEub9ZASCNoLnm7d94vH4xE0DR5Tg4bZ6cClcV5VfW46/XERnoq9h+DzuVdU28uuYQlfXNvH3zULnDaRO1RhMWq1WR7t5nc2mvTmS9MBV/Bbpkt4br3vmNiromfvrjePootFQEkhcTSLPY1EjX6CD+Nq2P4ke73DmuC7ePTaVzuLJ7B5WKsn+7AuqbzOzNr6Jn3U7pBoXaCdg5lWEyYlFZY+Fji9MZ9n9rWb6/SO5QLoqPTsPCrbn8tLdIsYNVz8fXO/MY+NxqHlucLncoF8XPR6dasWSob6astgmLVdmrEQF62ryYTlYbMdQ3yxxN20mKDOTu8V25dXSq3KFckITwABIjlGsWq3SEYFI45bVNdNMUkqCpAJ2f5PCtYKKCJMFkslipalDXG599xZmSTSvthPjrHSNF1GYtYLcUiA72lTkSz+ZomeTwHRvqR7DCx8+E+OtJsHmfHS5RZ5ZJ4PkIwaRwyuqMXKLdK/2gwHEoZ+ProyUiUCq1qKksZ7VaVTFH7nTiw6U41WZeaZ8jl6hg08rT+WDDUW78YAurDxTLHUqbsDt8K3UkytnYDSzVVpZraDKzLL2A7JM1qnCE/3FvIfd8tpOle/LlDkV1qFIwvfPOO3Tp0gV/f3/S0tLYuHHjBff/9ddfSUtLw9/fn65du/Lee++ds8+SJUvo27cvfn5+9O3bl6VLl7oq/DZRXtvEeO0+6QeF9y/ZUeN4FENDM0aTBTgVv9KxezGpNcOkdA8mO0dKatl6rILMInV9kNuH7nZVqMP32fSy9zEVq+t1Plhk4JEv07nl422qKHUdLq5hzcGTbMoulzsU1aE6wbR48WIeffRRnn76afbs2cP48eO58soryc3NbXH/48ePc9VVVzF+/Hj27NnDX//6V/74xz+yZMkSxz5btmxh9uzZzJkzh4yMDObMmcOsWbPYtm2bu57Weak01DBKmyn9oND5cWdz9/iuvHBNP7qo5I0aTpXjIgL1qulZSVBthkn5Lt+nkxIl/R2rzYvJPnS3a7RKMkyxIei0GmqNyl/VdzpK9186m0FJ4QBkiBEpbUbZhe0W+Pe//81dd93F3XffDcDrr7/OqlWrePfdd5k/f/45+7/33nskJyfz+uuvA9CnTx927tzJv/71L373u985jnHFFVcwd+5cAObOncuvv/7K66+/zqJFi9zzxM6DvngngRojNT6RhMSowyNo1rAkuUNoM2orx4E6M0zVjc0YbL1talmpo1a371NDd9Vx4TJtYDzTB8Xj56OOCxY7B2yCqZ9CHb7Pxm4ofLS0lprGZkJUsFpVKagqw9TU1MSuXbuYPHnyGbdPnjyZzZs3t/iYLVu2nLP/lClT2LlzJ83NzRfc53zHBDAajVRXV5+xuYLkiq0A5IWPAK2qfl2qwi6YYlQlmKRY7QOD1UCBLbsUGeRLkMIbke2k2jNMKhNMNwxL5PqhnekVpw6DQn+9TnViCU4fiaKODFOnED86hwdgtcK+AoPc4bSarOJq2VdQquMdy0ZZWRlms5nY2Ngzbo+NjaW4uOWGzOLi4hb3N5lMlJWVER8ff959zndMgPnz5zNv3rx2PpPWkxbnA4W+9Bl3jcvP5Swq65rILqnF10fLYFv6V+l07RTMHWNT6aqSBlmQrsgn94tT1XiUAL2OW0Yl46Mi8Z9syzCV1RqpNZoUv+LMzr2XdJM7BI+n2Wwhy9Zz1U8lgglgcFI4BVUN7M03MKZbtNzhtIoHF+7mWFkdi+4ZxehuUbLEoJ53rdM4u7HOarVesNmupf3Pvr2tx5w7dy4Gg8Gx5eXltTr+NjHtX/CXE2j6Xeea47uAdYdKmPX+Fv616pDcobSatJQI/j6jH3NGpcgdSqsJ9PUhLECvikZTO6nRQfzftQNUM4IGINRfT2SQZIGQq7Isk9r47+Ycrnn7NxZtb7knVWkcK62jyWQh2M+HJJWs+gQYZBvEm5FXJW8graS81sixMqnELGevmDoulWxER0ej0+nOyfyUlJSckyGyExcX1+L+Pj4+REVFXXCf8x0TwM/PDz8/N62m8lXPPyKoc5WcQHAhUqIC0es0jv4rpZNbXk+zxUJyZCB6nXqui0tqGsnIq6JvfCg3qWAU5YFCqaTVJz5E8dMBTmdgYjh+CnclP51dJyoB6BETTFigfD1X6nnFAF9fX9LS0lizZs0Zt69Zs4YxY1o2dBw9evQ5+69evZphw4ah1+svuM/5jim4MKe7fauFY6W1qnQnf2lFFncu2OFYQq508ivrqWlUh+g4na/vG822v14uWymgrbz761Emvfor//k5W+5Q2oTaRqRM6BXDh7cO48GJ3eUOpU0MS4lg/7wpvHtLmtyhtIrU6CDuu7QrNwxLlDUOVWWYAB5//HHmzJnDsGHDGD16NB988AG5ubncf//9gFQqKygo4LPPPgPg/vvv56233uLxxx/nnnvuYcuWLXz88cdnrH575JFHuOSSS3j55Ze55pprWLZsGWvXrmXTpk2yPEe1Y58nV1HfRLPZooor3Js/3EZxdSPfPzzWsYpEDWw4XMrBompuGZWsiv6rez/bxcGiaj69YzgTe8XIHU6r8VHB3/Dp2C0F1GJaacfeoH64uOaibRFKIDLIlyv6nr8SoVTU9vfcMzaEuVf2kTsM9Qmm2bNnU15ezvPPP09RURH9+/dn+fLlpKRIvSdFRUVneDJ16dKF5cuX89hjj/H222+TkJDAf/7zH4elAMCYMWP48ssv+dvf/sYzzzxDt27dWLx4MSNHjnT78/MEIgN90Wk1mC1WymubiAtT9sozs8VKqS0bpiZbAZC8mA4WVavGi8nu8q0WSwG1ojZLATtdo4Px0WqoMZoorm50WGcIXIfFYlVVOVFOVCeYAB588EEefPDBFu9bsGDBObddeuml7N69+4LHnDlzJjNnznRGeF6PVqshOtiXk9VGSmuMihdM5XVGzBYrWg1EBalrvpmavJgMDc1UN0qDgtUmmHLL63nq270YTRaWPKDsUr2hodlRDu8SrS7B5OujJTU6iCMltRwqrlG0YCqpbuR/23MZlBjOxN7qyZba2XK0nOe+P0B8uD8L7lBuw1h+ZT1HS+sYkhxOqMyeUerKywlUQ0yIJJJKa5Wf+ThpkD5cooP9VJeqts+TK1JBhkmNHkx2Anx1bD5azu7cSowmZTtR2/vZYkP9VGlK2EslfUzpeVW8vjabf6poNfDphPj7cOhkDbtPVCp6Bt7yfUXc9sl2/vRVhtyhqDPDJFA+d45LpdZopkeM8k3z7KaVSs+EtUSC7Qq8UAUZplNDd5WbNTgf0cG+BPnqqGsyk1fRQPcY5fYGOcpxKhmJcja94kLYV2BQvFfXKYdv9fgvnU6vuBB8fbRUN5rIKa9XbDZyZ460Qm5YSoTMkQjBJHAR1w2RdzVDWzhZY3P5DlGfYLK7fRcZlJ9hcsyQU5FfjR2NRkNyVBCZRdWcKK9TtGByNHzHKPMD8GL84bLu/HFSD7nDuCgOh2+VzJA7G71OS/+EUHbnVpGRV6VIwWS1Wh2WAsNS5RdMypbwAoEbOGmwz5Fzk6+WE0mw9QLVNpoUnVaHU4JJjRkmgFSVzJS7rHcMj13ek8v7qG/1FpxrIqxUHEN3VZphglNz5dIVamB5orye8romfHVa+neWf1afyDAJXIKhvpms4mp0Wg3DUiPlDueCDE2J4M6xXRiugCuYttI5PIC9z02WvRmyNYzoEonRZGZEF2X/PZyPZIdgqpM5kgszLDVS8f9zrcFqtWK1osgVXFX1TRRUSRcAahZM9tFVGflVssZxPnbasksDEsMUMWdQCCaBS9hyrIz7F+5mSHI4Sx8cK3c4F2RCrxgmqMgT6HS0Wo0qxBLA1P5xTO0fJ3cY7cYxhLdC2RkmT+Av3+xl1cFi/jVzEJcr0OfInl1KigxQzf9fSwyyCaYDhdWK9MzbdaICUEb/EoiSnMBFdLKvkhPjUQQeQkpUINHBfor+gKysa+KXrJPkqVzUNZrMVNU3c0ihK+Xs/Uv94uUvE3WE1KhABiWFM31APLU2yw8lYe9fSlOIYBIZJoFLiLGNRympMSresfdgYTWdQvyICvJVZPr/Yny1I4+VB4qZMShesc32RpOZY6V1JEYEqHKpO8CYbtHs/NvlcodxQXadqOTuz3bSJz6UFY+MlzucdqP0ESm3j0nl0p6dUNkkpXPQaDQse0i5FYA3bxrKjpwKxZTxhWASuAT7PLkmk4XqRhNhAcr8kDSazFz1n40A7H7mCsdUejVxtLSWX7JKSIkKVKxgOlJSy7T/bCIyyJfdz1whdzgey6mRKMpb8dQWTnkxKXNGoo9OS49Y5VumqJ1ecSGOcTlKQJTkBC7BX68jxF/S46U1yl3ybi8Z+uq0RMg4Bbsj2FfKFVYp14vplKWAOlfIqQW7YFKy7UFrsGeYjpbUYjJbZI7G8zFbrKoZ4C0nQjAJXMbpZTmlYjetjAn1U3TZ8ELYx4wUqEAwJarQg+l0Xl97mHEv/8LnW3LkDqVFjtpMK9U2dPdsEiMCCNDraDJbFNdkf/hkDY8vTmfR9tyL76wCDA3NDHxuFZP+/Su1RuX0Mb297ggLt56goq5J7lAcCMEkcBn2spySG79PVqtz6O7pnMowKTeTp2aX79NpaDKTX9ngECZKwmq1cqTEXpJTt2DSajX0jJWeQ1aRsvqYdp2o5Ns9Bfy0t0juUJxCWICesAA9VivsyzfIHQ4AzWYLb/6Szd++2095rXI+P4RgEriMW0en8n/X9neYoykRe4ZJjaaVdjrbREhFXRP1Tcq5QjwdtZtW2rG7IR8rU55gqqhrwtDQjEajvqG7LTGqWxTje0QT5Ce//87pHFT5SJSWGJwcDsDu3Ep5A7FxoLCaxmYLYQF6RYl/0fQtcBlXDYiXO4SLUuwQTOrNMIUF6Anx86HGaKKwqoHuCpzf5xBMkeouydmFyPEy5fV72LNLncMDCPBVlshoD3Ov7CN3CC3iGIniQYIpLSWS5fuK2ZlTIXcoAGw7Vg7A8NQIRa1cFoJJ4NWUeEBJDqSyXEFVA5X1zXKHcg5Wq/VUSS5c5Rkm2+qz/MoGjCazItyH7XSLCeb12YMxqX2tu4IxW6xkFnlehmmEzRl+54lKLBar7CJlq00wjeoaJWscZyMEk8BlVDc2c7CwGovVyphu0XKH0yKT+sQQEejL0GRlGKO1l+8eGou/XqvIxnWLFR6c0J3cinrVN313CvYj2M+HWqOJ3PJ6RS0tjw7249ohneUOw+lU1jUR6KdThDg9UV5HfZMZf72WLtHKKRV1lD7xIQT56qhpNHG4pIbecfKJQZPZws4cqTSoNMEkepgELmNfvoEbP9jK35cdkDuU8zJ9YALPzuirGGO09hLgq1OkWALQaTU8MKEb868foPpSkUajoWsn5fYxeRqz3t/CkBfWOD5A5eaArX+pd1woOgWVijqKj07LUJub9o7j8pblDhZVU2M0EeLvQ594ZWXxRIZJ4DIcq+QUtMpBIOgogxLD8dFq0OuU9YH51Y484sL8GdElEn+9uoWpnehgyUj2YGE1Y7vLn6UuNjSi1XhW/5Kd3w1NJC0lQvbBzYdP1qLVwMgukYoTpUIwCVyG3Yepqr5Zcf0eILmQHz5ZQ0yoH52C1evDBFI277W1h4kK8uWVGwbJHc4Z5JTV0WgykxwZSKCv+t9yXri2v9whnENjs5m/fLsXqxV2/u1yjxFMfeNDWb6v2NFoLTf3XNKVW0alKHY1akdQSjl3Zloik/vFYlBgP6YoyQlcRliAHl/b9OuyWuWYj9nJr6xn+pubuOxfv6paLAE0mc38klXC5qPlcodyDh9sPMbU1zfy7vqjcofisRwvq8Nqlf7nolQ43ud82DM59qX8SiDAV0dUsHptSNRAqL+eJAWuqBWCSeAyNBqNoyxXUq08U0W7aWWMij2Y7NjNK4urGzErbJVUns2pWYlvgB2hWUEjO04ZVgapXvyfTt/4MACOlNbS2GyWORrPp6KuiZX7i9mbXyV3KIpECCaBS4lWsNu3w7QyRN2WAgAxIf74aDWYLVbH81IKDsGk8hVydowmMxNeWUfvZ1ZiaFBG2cBTZsidTWyoH5FBvpgtVrJlHsT725EyrnvnN976JVvWOFzJu+uPcP/CXXy5I0+W83/623Guf+c3lu7Jl+X8F0MIJoFLUfI8ObuwiAtTv2DSaTWO56GkIbxmi9Ux4y4pUt0eTHb8fHTUN5kxW6wcV8hKOU+ZIXc2Go2GvraVUgeL5B3bsTOnkj25VY5snidib/iWa6XcpuwydudWUa7AFg4QgkngYm4cnsSL1/VXnJ8GeFZJDpQ5hLe4upFmsxUfrYb4MM8QTKA8x++jHjJDriWm9ItlzqgU2Z9bhq1MNTgpXNY4XMkwm7VAdkktlW4eemu2WNluE2pK/LwAsUpO4GIm9YmVO4TzcrLGc0pyYJspd1xZgslejuscEaC4JcIdoWunILYdr+C4AobwWixWjtmEWzcPK8kBzBmdKncIWK1WMvKqABjkwYIpKtiPbp2COFpax84TlVzR133v3wcLleu/ZEdkmARey0mD55TkQMowBfv50GxSTtN3rk0wJXtYw7fShvAuumcUr8wcSJLKhxsrlfzKBsrrmvDRahT7Ye4shtvHpLh5rpx9HMqIVOX5L9kRGSaBS6k1mtiXb6DJbOHSnp3kDucMbhiWyKCkcHrFKWe8RUd4ZFIPHr+ip6JWSQ1MDOPJqb2I9xBRasc+FkMJPUxarYYhyREMUfl4nwvR0GQmq7iartHBhAXq3X5+ezmuT3yox3hcnY/hqZF8uSOP7TIJJqWW40AIJoGLOVpSy00fbiU+zJ8tcyfJHc4ZzB6eLHcITsVHp7yEce+4UFnnUrkK+3gUyf/IqiiR6onM/mALe/MNvPv7oVw5IN7t59+bLzWcD0oKc/u53Y09w7Qv30BDk9kt44zMFqtDoClZMCnvHVbgUXQ6zVbAojB/IIGgvSRFBDI4KZzJfWNpkNkf6IeMQj7feoIT5fJnu1xFH5vozpTJ8dtfryMhzJ9BieGynN+dJEUG8MaNg/nlTxPw17tHIlQ3NDO2WzTJkYGKHjsjMkwClxJtc8Q1WaxUNTQTqRAX4urGZk6U1RMf7u+IUe2YLVbu/WwnBVUNLL5vNGEB7i9dnM2vh0uJC/WnW6cgRWbA2ouvj5bvHhordxgAfL71BNuPV/D67MGkRAXJHY5LcDh+yySYHr+iJ49f0dMrLvo0Gg3XDHbvmJSIIF/em5Om+Gyt57yDCRSJr4+WCFvPQUmNcgwVd+VUMuOtTdz2yXa5Q3EaOq2G9LwqsoprKKiUf6VcY7OZ2z7ZzpTXN1DT6Hmzt5TCsVLPtRSwo5QRKVqFNiN7CkoWSyAEk8ANxNiW7SvJ7bvItkLO05qRExTkxZRfKa2QC/bzIVyGRl13YDJbqKqXz2Svqr7JMafR3lflifS2LcwoNDS63R+oocmM1er5maXTaWw289HGYzz8v900mVw7Aqix2czhkzWqeI1VJZgqKyuZM2cOYWFhhIWFMWfOHKqqqs67f3NzM3/5y18YMGAAQUFBJCQkcOutt1JYWHjGfhMmTECj0Zyx3XjjjS5+Nt7DqXlyyhFMxQZJUHiKpYAdu3mlEty+8yrsDt+Bir9ybA/L0gvo/cxKnvg6Q7YY7A7f8WH+BPl5bodFiL+elCjJmsLdfUzP/3iQtP9by1cyjQuRA1+dlvd+PcaPe4scZpKuYlN2GZNf28BNH2516XmcgaoE080330x6ejorV65k5cqVpKenM2fOnPPuX19fz+7du3nmmWfYvXs33377LYcPH+bqq68+Z9977rmHoqIix/b++++78ql4FfbxKKW1yhFMpzJMnuVb0zlCORmmXMcMOc96je10CvbDZLFyTEbzSk92+D6bUyNS3CuYMvKqqKhrIjTAcwXp2Wi1Gib1jgFgbeZJl57Lfvyescq3d1HNX0BmZiYrV65k69atjBw5EoAPP/yQ0aNHc+jQIXr16nXOY8LCwlizZs0Zt7355puMGDGC3NxckpNPLSsPDAwkLi7OtU/CS7luaGeGpUaSlqIcnxi7YIoL9awMk5JKcnkealppp4utBJZbUU+z2YJehqb2QydrAM8butsS1w9NJC0lgvE93Ofn1tBkdrzGnuzw3RKT+sSweGceazNP8vcZfV2SJbZYrKzNLAFwq6t4e1FNhmnLli2EhYU5xBLAqFGjCAsLY/Pmza0+jsFgQKPREB4efsbtX3zxBdHR0fTr148nnniCmpqaCx7HaDRSXV19xiZomfE9OnHzyGRFGUQW2UpyntbD5Jgnp4Cmb0eGyUMFU2yIPwF6HSaLlXyZXu9DxdL7VJ945fxvuYor+sZy9/iubn0fOVBowGyxEhPi53EXVxdjXI9o/Hy05Fc2cPika2Ym7smroqzWSIifDyO7KNd/yY5qMkzFxcXExMScc3tMTAzFxcWtOkZjYyNPPfUUN998M6Ghp7wefv/739OlSxfi4uLYv38/c+fOJSMj45zs1OnMnz+fefPmtf2JCGTHarWeyjB5oGAK9vMh0A1mcxcjzyYiPDXDpNVqSI0OIrOomuNltY5xKe7k7ZuHklVcLcu5vYH00+bHeWIf3oUI9PVhbPdofskqYW3mSZcI1TUHpXLchN4x+PooP38je4TPPffcOQ3XZ287d+4EWl5y2FrfhubmZm688UYsFgvvvPPOGffdc889XH755fTv358bb7yRb775hrVr17J79+7zHm/u3LkYDAbHlpfnPQ2BbaW+ycTmo2WsPejaWnhrsVglX5W7xnXxuB6m/p1D2T9vCv+7Z5TcofDIpB78eUovj569ZV+ZJlcfU1ignpFdo4jxkuxHXkU9S3blOzJrribD5vA92MvKcXYm9XFtH9Oag1KyQw3lOFBAhunhhx++6Iq01NRU9u7dy8mT5/7SSktLiY298Ivd3NzMrFmzOH78OL/88ssZ2aWWGDp0KHq9nuzsbIYOHdriPn5+fvj5eYbhoasprGrk5g+3EeLvw77npsgdDjqthrvHd5U7DJegpKvgqf09vyewa/SpESkC1/PamsN8u6eAP1zWnV5x5/atOpsMe4bJCxy+W2JS71jm6Q5KQ72d3Kd3rLSWo6V1+Gg1ipszej5kF0zR0dFER0dfdL/Ro0djMBjYvn07I0aMAGDbtm0YDAbGjBlz3sfZxVJ2djbr1q0jKuriddIDBw7Q3NxMfLz7ZxZ5IjGhkrCsaTTR2Gz2+OGVAu9haHIEMwYlyDL4dsW+InadqGRSn1hGd1N+/4czGJYaybd7CtiZU+nyc1ksVq4cEEd6bhUDEj1/hlxLxIX5k/73Kwj0db5U6BwRwKd3DOdYaZ0iphK0BtkFU2vp06cPU6dO5Z577nEs+b/33nuZPn36GSvkevfuzfz587nuuuswmUzMnDmT3bt38+OPP2I2mx39TpGRkfj6+nL06FG++OILrrrqKqKjozl48CB/+tOfGDJkCGPHKmP0gdoJ8fPBz0eL0WShpNpIcpS8PS0FVQ2U1xpJiggkQiGjWpzJv9ccZvWBYh6Y0M3tIw7sHC+r41hpLT1iQmT/fbuSib1jmNj73N5Kd7A2s4Qlu/MJ8dd7kWCShOmevEqXr0zUajXMvbKPy46vFlwhlgD8fHRM7BXDRNcnCp2G7D1MbeGLL75gwIABTJ48mcmTJzNw4EA+//zzM/Y5dOgQBoNUd87Pz+f7778nPz+fwYMHEx8f79jsK+t8fX35+eefmTJlCr169eKPf/wjkydPZu3ateh0IhPiDDQajSPLVFor/3iUb3bmc/Vbv/HPVVlyh+ISSmsaySqukbVMtHJ/MXf9dyevrT0sWwyeTlaxtDK3txeskLPTvVMwYQF6Gpstso9J8TZKqhsxmuQdNC03qskwgZQVWrhw4QX3Od1ePTU19aJ260lJSfz6669OiU9wfjoF+5FX0aAIt+/iapvLd6hnNXzbSQiT31rA0y0FTsdisxUI8NU5XO1djclsIdu21LtPnOc21Z+NVqshLSWCX7JK2JFT4VJvpP0FBpIiA1VTLnIl9362k9UHT/LpHcOZ2KvjGdXVB4rZdaKSqwcn0C9BPeVOVWWYBOrFPk+uRAHz5Dx1jpydxEhJMOXZZrnJgX2OnKe6fJ/On77O4JJX1vHt7ny3nfN4WR1NZgtBvjoSveA1Ph17Wc6VfUwWi5VbPt7GoHmr2V9gcNl51IL9QsBZK52/3pXP+xuOOWwF1IIQTAK3YP+HU8IA3mIP9WCykxIlrdw6US6fYPKmDFM3m7WAO2ecZdmW1feKC0GrVc7KSHcwLCUSgJ0nKl02sPVAYTVV9c0E+/koynBXLi63Lfv/ObOkw695Q5OZjdmlgHrsBOyoqiQnUC/TB8bTNyFUEX4mnp5hSrUJpiJDoyyrEs0Wq6Mc6Kmmladj95nKcpM3kHQuSZz18qJynJ2BiWG8d0saaSkRLrPR2HhE+kAf1TVKlpE3SmN01ygCfXUUVzdyoLCa/p3bX0Zbd6iExmYLncMDHPMB1YL4SxC4hZFdo7hpRLLsJob1TSYMDc2A52aYIgL1hPhL10L2TI87KTI0YLJY0es0xHqBoWJv29/0kZJamkwWt5zTnj30hpEoZ+Ov1zG1f5xL+8U2ZZcBML7HxS1vvAF/vY5x3aXX4oeMwnYfx2q18v6GYwBcOyRBUb5xrUEIJoFXYS/HBfv5EOLvmc2cGo2GPvGh9I4Loc5ocvv58yqk7FJiRCA6LygXJYT5E+Lvg8li5Wipa2Zunc2bNw1h69xJXD0owS3n8yYamsyO/qix3YVgsjMzLRGAL7blYqhvbtcxth6rICOvCj8fLbeP6eLM8NyCKMkJ3EKz2cLOnEpKahpl8wYCCA3Q87dpfWgyuycTIBdf3TdatnN3jwnmjRsHy3Z+d6PRaOgTF8r2nAqyiqvdkkXVaDQemyFtDeW1Rj7feoLCqgb+OXOQU4+9I6eCJrOF+DB/R3+aAC7vE0uv2BAOnazh61157ZqW8N6vRwG4YVii21aUOhMhmARuodls4aYPtwJwWe8Y2bI70cF+HjsWRSl0CvGTVRTLQe/4EEkwFdXAELmj8Q5eX5sNwNwr+zjVgHbTEakcN657tOpKRq5Eq9Uw96reVNY3MWNg2zObFouVwUnhHCg0cO/4bi6I0PUIwSRwC4G+PoQF6DE0NFNsaPTYcpjAO5nUJ5YQfx/G93D9TKxl6QX8kFHE9IHxXDvEu4SpnahgP7p2CuJYaR27TlQ6VnE5g1tHp5ASFUjPWO/rD7sYEzrgwaTVanjsip48fFl31TbSC8EkcBvxYf4YGpopNDTSQ6Y3o8yiaprNFlKjgwj1YNF2pKSWh/+3G6sVVj12iVvPvWRXPpFBvozoEkmQn3e8xVzas5PbBohuO17B2syT9IwNdsv5lMrwlEiOldax08mCKTEikN+PTHHa8TwV+wIHX5+2iR+1iiUQTd8CN2LvuSg2yOdA/erqQ1z91m8dWumhBkIDfMgqriG7pMZtK7dASrv/dek+7liwQxGeW55IVpF9JIq6lmQ7mzSHgWWFzJF4H9/tKeDSV9bx5Y7cVu2/4LfjrDvUcQ8nuRGCSeA27L5Hdh8kOfB0DyY7nYL9CPTVYbGect12BwVVDRhNFvQ6jdc5UJfWGNlwuJQ8F1o5WCxWDttGovT2ckPF4amSgeXeAoPTZpx9tiWHz7bkUFIt/8xLJVPd2EyRoZH3fz120Quy0hoj/1iRxR2f7mB3bpV7AnQRQjAJ3Ea8bcZZsYyCyeHy7aFz5OxoNBpZHL+P2Qb+pkQF4aPi1Ht7+Nt3+7j1k+2sduG4h4KqBmqNJnx1WrpEe/cKrtSoQKKCfGkyWZwyvsRqtfLe+qM8u+yAW01I1cisYUl0CvGjoKqB7/YUXHDfT387TpPJwuCkcIYmh7snQBfhXe9oAlmJkznD1NhspryuCfD8DBNAis1lO6e8zm3nPGbzIerqhR/mvW2u21kuHJFiH7/SPSZY1b0gzkCj0TA8NZJQfx/Ka5s6fLxjZXUUGhrx1Wkd2StBy/jrddwzXvJR+s8v2Y7/+9OxWq28ve4I79qsBO6/tJvqVx16R0emQBGMSI1k/vUD6B4jT7NqSbXUU+PnoyU80HMbvu2kREuCya0ZplJJnHXt5H0NyXbXbVdmJ+zH7u2FDt8t8dzV/YgI0uPn0/HxP3Z372GpEQT4uneckBr5/cgUPtp4nPzKBq58YyN/mtyTu8Z1RafVUNPYzBNfZ7DqgJRtvWVUMlP6qWtuXEsIwSRwG6nRQaTKmHkosjWbx4f5q/5KpzXYZ8q5NcNUZssweaHhnz3DdPhkDSazxSUlycZmMwF6ndf3L9lxpnnnRptgGifGobSKID8fvn1wDHO/3cfG7DJeWpHFuO6d6B0Xws0fbmNfgQFfnZYXru3H7OHJcofrFIRgEngNxbZGTm9xSO7WKZgeMcEkRbhvAK49w+SNDsnJkYEE+uqobzKTU17vkkzqk1N788TkXh7vVN9WrFYrxdWNjj7JttJstrD1WDkA47u7xx7CE0iMCOSzO0fw9c58iqsb6ZsgXTTcPb4LL63I4t1b0hQxcN1ZCMEkcCs7cirIq6jn0p6diAp2rzV+v4Qw/jatD9FuPq9cjOgSyZrHL3XrOd+7JY1jZbVeafqn1WroFRfCntwqsoqrXVZ61mo1+GtFycjO0dJa7vh0B0aTmc1PTWrX/MKMvCpqjSbCA/WOD31B69BoNMwannTGbdcM7swVfWMJ9PUsieHdXYMCt/PXb/fx+FcZZBa5fxVK95hg7h7f1Wvdkd3BoKRwrhuS6LVO7qcav53/922xqNvDxlUkRgRQVd/EyWoj24+3z5Op0NCIr4+Wsd2jvWJgtDvwNLEEIsMkcDPx4QFkl9Q6+okErsdqtWK2WL1umb8cXD+0M0OSwxmWEuH0Y7+29jDL9xVx36XdmDUs6eIP8BL8fHRc2T+exTvz+D6jkNHdotp8jKsHJTC2WxTVjSYXRCjwFMQ7qMCtxIfa3b7dby2w+WgZGXlVNDQ5x+RODTz/w0EGPLeaRdtb58jbEdYdKuG/m3M4fNJ7PWyGp0Yya1iSS1YJbj9ewdHSOpFpaoGrB0vDYJfvK2q3s31UsJ/Xe1sJLowQTAK3Ym+4LpRBMD22OJ1r3v6NIyXneoZ4KloN1BpN5LjBWmDp7gL+/v0Bfskqcfm5vA2jyUx6XhUAw4RH0DmM6hpFpxA/DA3NbMwubfXjLBYrBwtd55sl8CyEYBK4lXiZ5sk1my2U2GabecsqOYCUaLvbt+utBRyWAl5+lb43v4rPt+RwtAUzv/ayv6Aao8lCZJCvV65AvBg6rYYZA6Us07L01s+J/CWrhKv+s5G7/7vTVaEJPAghmARuRS6379IaI1Yr6HUaooJ83XpuOUmNco95pdVq5bgXm1aeztvrjvDMsgOsOlDstGPusA2YHZYS4RUeYu3BXpZbc/Ak9U2t60X6dPNxwDttMARtRwgmgVtxzJNz83BLu0CLDfVH60WrYOzmlScq6l3a+3Ky2khdkxmdVkNypPt8n5TI6K5S0/GWo+VOO+YO2+ovMbLj/AxKDOO+S7vy8W3DWuX8fai4ht+OlKPVwJzRKW6IUKB2xCo5gVtJigxg/vUDiA/zx2q1uu1q2d5k7g0z5E4nPswfvU5Dk8lCcXUjCeGuGTpsnyWVHBmIr493X4eN6S45Re/IqcBoMnd4bIfFYmXniUoAhncRgul8aDQa5l7Zp9X7L7Bll6b0iyPRjeauAvXi3e9sArcT6OvDTSOSmdArxq2lBbuNQVw7nYDVio9O63D6duWIlKNltnKcl/cvAfSICSY62JfGZgvpuVUdPl59s5mp/eLoEx9KP2Gq2GqOl53/772yrolvdxcAcOe4Lu4KSaByhGASeAXemmECGN0tikm9Y5wyoPR82DNM3jhD7mw0Gg2ju0lZps1OKMsF+/nw8syBrHhkPHrhpXVRzBYrz31/gCmvb2BnTstGlv/bnovRZKF/51CXeGYJPBNRkhO4nQOFBg4V19A3IdThjOxqpg9KIC7Mn34JYW45n5J48boBLj/Ho5N6Mn1gPBGB3tNQfyHGdIvih4xCthwt57Er5I7G+yioaqDJZOGez3ay9MGx5wz9Ntv6+e4Y00U00QtajbhcEbidBb/l8PhXGaw9eNJt5xycFM7d47u2ywVYcHHCAvWkpUR6/Qo5O2Nsf2cHCg0YTR0zSt1fYMAkhu22Gp1Wwxs3DmZgYhiV9c3csWAHlXVNDpEE8MCEblw/tDPTB8XLGKlAbQjBJHA78TJZC3gzVquV6sZmucPwGpIjA1l0zyh2/u2KDpVCC6oamP7mJoa8sKbDwsubCPT14aPbhtE5PIDjZXXMfG8zV7+1yfEa6nVa/j1rsEvL1ALPQwgmgduxN167azxKfZOJ5fuK2F9gcMv5lEZBVQOD5q1m5Is/Y7U631ogr6Ke5384yJJd+U4/tlqR+piiCPDt2AeyvQenS3SQ+HBvIzEh/nx6x3BC/Hw4WlrHgcJqfswokjssgYoRgkngduLD3ZthOlpSx4Nf7Ob2T3e45XxKo1OwH7VGEw3NZkptbufOZF+BgU9+O85nW084/djejt2wUvgvtY+esSF8fPtwJvTqxOuzB3P90M5yhyRQMaoSTJWVlcyZM4ewsDDCwsKYM2cOVVVVF3zM7bffjkajOWMbNWrUGfsYjUb+8Ic/EB0dTVBQEFdffTX5+eJq2VU4xqO4ybwyr1JyuU6O9C5LATu+Plo6R0jP/Wip860F7CvkuglLgTMwmS288ONBpv1nI4aG9pVDdxy3+S+lipVc7WVEl0gW3DGCa4d0Fg3egg6hKsF08803k56ezsqVK1m5ciXp6enMmTPnoo+bOnUqRUVFjm358uVn3P/oo4+ydOlSvvzySzZt2kRtbS3Tp0/HbBY9A64gPlT68K6oa6Kx2fWvcW6FJJiSvNiB2r4a8WCR8weNHnOMRBGC6XR8dFrWZZVwoLCa7cdbXt5+IQz1zRw6WQNAWorIMAkEcqMaW4HMzExWrlzJ1q1bGTlyJAAffvgho0eP5tChQ/Tq1eu8j/Xz8yMuLq7F+wwGAx9//DGff/45l19+OQALFy4kKSmJtWvXMmXKFOc/GS8nNMCHAL2OhmYzxYbGc5b8Opu8CnuGyXsFU/+EMNYcPMmBQuf3cTlMK8UKuXMY3S2KY2V1bD5axhV9Y9v02F25p/qXOoX4uSI8gUDQBlSTYdqyZQthYWEOsQQwatQowsLC2Lx58wUfu379emJiYujZsyf33HMPJSUljvt27dpFc3MzkydPdtyWkJBA//79L3hco9FIdXX1GZugdWg0Gv45cyAL7hjulg8CR4bJi8cf2B2iDxY69+/UarUK08oLMMZmYNmeuXIbDpcBCGNFgUAhqCbDVFxcTExMzDm3x8TEUFx8/qngV155JTfccAMpKSkcP36cZ555hssuu4xdu3bh5+dHcXExvr6+RESc+aYUGxt7wePOnz+fefPmtf8JeTkzBiW47Vz5ldJYFG8uyfXvLBl2ZpfU0thsxl/vnBVXJTVGahpNaDWnBv0KTjGqq1RKyyquoazWSHRw6y8Q7hrXhUBfHeN6RLsqPIFA0AZkzzA999xz5zRln73t3LkToMWGvYsNcJ09ezbTpk2jf//+zJgxgxUrVnD48GF++umnC8Z1sePOnTsXg8Hg2PLy8lr5jAXuxGyxkl9p72HyzqZvgNhQP6b0i+WucV0wNjvPBDHT1hPVMzbEaSLMk4gK9qNPvJTd23qsbVmmpMhAnpza25GlEggE8iJ7hunhhx/mxhtvvOA+qamp7N27l5Mnz3WGLi0tJTa29b0B8fHxpKSkkJ2dDUBcXBxNTU1UVlaekWUqKSlhzJgx5z2On58ffn6ir6C9nCivY2dOJdEhflzas5PLzmO1WnnzpqHkVdQT72WDd09Ho9Hw/pxhTj/uhF4x7Prb5ZTWOt+uwFMY0y2KzKJqfjtSzvSB7susCgQC5yK7YIqOjiY6+uJXUKNHj8ZgMLB9+3ZGjBgBwLZt2zAYDBcUNmdTXl5OXl4e8fGSJX5aWhp6vZ41a9Ywa9YsAIqKiti/fz///Oc/2/GMBK1hY3YZf/tuP1f0jXWpYPLRaZnav+WGf4FziAr2I6oNpSZvY0y3KL7Zlc+Azq2bY5ieV8WbP2dz25hULnHh/4ZAIGgbspfkWkufPn2YOnUq99xzD1u3bmXr1q3cc889TJ8+/YwVcr1792bp0qUA1NbW8sQTT7BlyxZycnJYv349M2bMIDo6muuuuw6AsLAw7rrrLv70pz/x888/s2fPHm655RYGDBjgWDUncD4OLyYxHsWtGOqbycirkjsMr2Js92g2/HkiN49MbtX+n285wc9ZJXy3p8DFkQkEgragGsEE8MUXXzBgwAAmT57M5MmTGThwIJ9//vkZ+xw6dAiDQVo6rdPp2LdvH9dccw09e/bktttuo2fPnmzZsoWQkBDHY1577TWuvfZaZs2axdixYwkMDOSHH35ApxM9Ga4izjFPrsGl59mZU8GKfUWOPiZvJre8nkHPr+aG97fQ7IRhrjlldcz5eBtv/pzthOg8F3+9jrBAfav2raxr4se9hQDcMjrFlWEJBII2IntJri1ERkaycOHCC+5z+qysgIAAVq1addHj+vv78+abb/Lmm292OEZB67D3E5XVNmE0mV02J2vh1hN8l17IX6b25oEJ3VxyDrWQGBFAsJ8PtUYTR0trHWaW7WVPXiUbs8uobzLzh0k9nBSl52K1Wvklq4RCQyNzRrUshr7ZlY/RZKFfQihDksLdG6BAILggqsowCTyHiEA9fj7Sn58ry3J5NksBbzattKPVauhrW7F1oKDjfkwZeVImd2Bi63pzvJ2txyq46787efGng5xsYSyQxWJl4TZpHt+cUSlijIdAoDCEYBLIgkajcfginSh3XbksV7h8n0Ffm4HlAScYWGbkVwEwWGRCWsWorpGkpUTQ2Gzh9bWHz7l/45EyTpTXE+Lvw9WDxWo6gUBpCMEkkI0utpEoOeXOHwgL0NBkprRGWu7uzR5Mp2M3sNzfwREpTSaLQ3QNSgzvaFhegUajYe6VvQFYvCOPIyU1Z9z/+RYpu/S7oYkE+qqqW0Ig8AqEYBLIxn2XdOW/d47gqgHxLjm+vdE7xN+HsIDWNd16OvYRKZmF1Vgs1ovsfX4OFdfQZLIQFqAnJUpk71rLsNRIrugbi8UKL63I4sRpFwuT+sTQOy6EW87T3yQQCORFXMYIZGNYqmsnsOdVnpohJ/pBJLrHBOPro6XGaCK3or7dg4/t5biBiWHitW0jf5nai58zT7I2s4ST1UZ++MM4AG4akcyNw5PE6ykQKBQhmAQeS2656F86G71Oyx8v6054oG+Hsm51RhMh/j6if6kddI8J4dbRqSzYnENZrZGaxmZC/KXfhRBLAoFy0VhPX4cvaDfV1dWEhYVhMBgIDe3Ycm1vwWS28OPeIo6X1fHwZd3R65xbIS6saiAjr4rwQF9Gd4ty6rEF0qquJrNFzJBrBxaLlYKqBjqHB6DVCpEkEMhJaz+/RYZJIBs6rYa53+6jodnMNYMT6Nop2KnHTwgPICFcNHu7Cq1Wg79WiKX2oNWeWiUqEAjUgWj6FsiGRqNxNAy7aqWc4FxMZgt786v4emce7Ukwi6S0QCDwRoRgEshK105S0/GxUucKJqvVysebjrNyfxFGk9mpx1Y7zWYr1779G3/+Zi8lNtuFtvDhxmNc8s91fLTxmAuiEwgEAmUiBJNAVlKjXOPFVFnfzAs/HuT+hbsRCZEzCfDV0c1W/jzQDj+mjDwDuRX1NJvFCysQCLwHIZgEsmJf1p5T5ly3b7vDd1yov2hKbgG7H1N7RqSk51UBMChJjEQRCATegxBMAlnpahNMx8ucm2GyCybh8N0y7XX8Lq0xUlDVgEYDAzoLwSQQCLwHIZgEsmLPMBUaGmhsdl6vUZ5DMImVSC0xJDkcgM1Hytv0uu+1GVZ26xTs8A4SCAQCb0DYCghkJSrIl09vH05qdBC+TvRhcgimCCGYWmJIUgSdwwMoqGrg58wSpg1s3XiaDHs5TsyPEwgEXobIMAlkRaPRMLF3DF2ig5xq4GcvyQmX75bRajVcMzgBgLWZJ1v1GKvVyor9xQAMT41wWWwCgUCgRESGSeCR2OfIJYvBsOflphHJjOwaxdhWuqA3mS1cOSAeU0YhV7UyIyUQCASeghiN4iTEaJT2k1VczeoDJ4kL9WfW8CSnHHN/gbT0fVyPaEJFr41TsVqtYuaZQCDwGFr7+S1KcgLZySqq4d9rDrNkd77Tjtm/cxhXDYgXYqmVWCytv24SYkkgEHgjQjAJZCfVRdYCgotjtVp5eWUWY176hZwLvP4r9xez5uBJTGaLG6MTCAQC5SAEk0B2utjcvktqjNQZTR0+3sr9xXy44RiHT9Z0+Fiejkaj4UBhNcXVjXyXXtDiPhaLlZdWZHLPZztZll7o5ggFAoFAGQjBJJCdsEA9kUG+gHNGpHy7O58Xl2eyMbusw8fyBq4bIq2W+25PQYuDdTcfLSenvJ4QPx+uHBDn7vAEAoFAEQjBJFAEqbbVbM4YkXKwSBr30TdeNN+3hsl94wjQ68gpr2ePzWfpdL7YdgKA64d2JtBXLKwVCATeiRBMAkVwqo+ptkPHMTQ0k1/ZAEDfBCGYWkOQnw9T+sUCUpbpdE5WN7L6oOTTdPPIFLfHJhAIBEpBCCaBIjg1U65jGaaDhVJ2KTEigLAAsUKutVw3NBGAz7eeOKOP7KsdeZgtVoanRtArLkSu8AQCgUB2RH5doAhuGJbE1P7xHR6WK8px/9/evQdVVfd7HP9sQDaiuE0JEEWF4hEFb4Cm4q1TkWWeytLxRs6YzPE5mhJTR83OeJkRSief6YSpWHa6aDqOmXYqkqzxkqGEokaKmddMvKRuUBMT1vnDR56HB2Shslmb7fs1s2fcv73W4rt/g66Pv/Vbv3V7Eu5rqcCmdp29WKrDZy8pprVDZeWGPsi5fjluNKNLAO5yjDDBLQQ389P9QU1l9/G+o+PcGGHictyt8fH20n8N6qDWzRtXjCR52aS+9weqRRNfDYphsjeAuxsjTPAo+4sYYbpdw+PDNDz+Hyut22w2DYoJ0fh+4fJrdGdBFgAaOgIT3MYH3x/R7uNOTRgQocjg25svs+avfVRYVKLwe5vUcXV3p0ejGVkCAIlLcnAj/7fnpNbs/LViHtLt8Gvkra5hzXkkCgCgThGY4DZu3Cl36AyPSAEAuBcuycFt3FiL6dBtPlPu3a2H9cuZi3omtrXi2rWoy9IAAHe5BjXCdP78eSUlJcnhcMjhcCgpKUkXLlyocR+bzVbta/78+RXbDBw4sMrnI0aMcPG3wb/q+PeJ2ruOnb+t/b/6sUgrth/T0d/vfLVwAAD+WYMKTKNGjVJ+fr6ysrKUlZWl/Px8JSUl1bjPyZMnK72WLVsmm82mZ555ptJ2ycnJlbZbsmSJK78KqhHX7h55e9n06/k/9Ov5Wws95eXGP9ZgYkkBAEAdazCX5Pbt26esrCzl5OTogQcekCQtXbpUvXv3VmFhoTp06FDtfiEhle/yWbdunR588EFFRERUavf396+ybU1KS0tVWlpa8b64+PYnKuO6pnYfdW7tUP7xC9p+6JzaxPnXet/j5y/rYuk1+fp46b57m7qwSgDA3ajBjDB9//33cjgcFWFJknr16iWHw6Ft27bV6hinTp3S559/rueff77KZ8uXL1dgYKCio6P10ksvqaSkpMZjpaenV1wadDgcCgsLq3F71E6viJby8bLppPOPW9rvxoKVHYID1Mi7wfxaAwAaiAYzwlRUVKSgoKAq7UFBQSoqKqrVMd5//30FBARo6NChldpHjx6t8PBwhYSE6Mcff9T06dO1e/duZWdn3/RY06dPV2pqasX74uJiQlMd+I/+EZr80P3y9721X00eiQIAcCXLA9OsWbM0e/bsGrfJzc2VdH0C978yDKPa9uosW7ZMo0ePlp+fX6X25OTkij/HxMQoMjJS8fHx2rlzp2JjY6s9lt1ul91ur9XPRe3d08T3tvbjkSgAAFeyPDBNmjTJ9I609u3ba8+ePTp16lSVz86cOaPg4GDTn7NlyxYVFhZq1apVptvGxsaqUaNG+vnnn28amOB6txKGz12+KonABABwDcsDU2BgoAIDA0236927t5xOp3bs2KGePXtKkrZv3y6n06k+ffqY7v/uu+8qLi5OXbt2Nd22oKBAf/75p1q1amX+BVDnvtl/Sn/L/lkxrZspfWiXWu2z9j8TdOHy1Vu+lAcAQG00mNmxHTt21KBBg5ScnKycnBzl5OQoOTlZTzzxRKU75KKiorR27dpK+xYXF2v16tUaP358leP+8ssvmjNnjn744QcdOXJEX3zxhYYNG6bu3bsrISHB5d8LVdlsNu094dR3B3+/pf2a+/vK16fB/EoDABqQBnV2Wb58uTp37qzExEQlJiaqS5cu+vDDDyttU1hYKKfTWalt5cqVMgxDI0eOrHJMX19fbdy4UY8++qg6dOigyZMnKzExUV9//bW8vXlCuxXi/74e07Fzl3Xiwq3dLQcAgCvYDMMwrC7CExQXF8vhcMjpdKpZM+bR3KknF36n3ccvaMHwrhoa26bGbf/70x91+Owl/XXgfUq43/zyLgAAN9T2/N2gRphw9+gVcf1ZcDmHar4sV3zlT63Z+au2HjzL+ksAAJfhDAO31Cu8pSRp++FzNW63Ju9XXb5apr8EN1WP9vfUR2kAgLsQgQluKb79PfKySUd/v6zfbjKPyTAMfZhzVJKU1KtdrZcgAADgVnEPNtxSgF8j/VtUkBr7+qj0Wnm123x38HcdOnNJTe0+etpknhMAAHeCwAS39c7YHjV+/sH3RyRJQ2Nbq6mdX2UAgOtwSQ4N0okLf+jrfddXfh/Tq53F1QAAPB3/LYdbMwxDB05dlJdNigwOqGgPbOqrN4Z31e7jTv3ln9oBAHAFAhPc2qQVu/T53pMK8PPR/4zsrgc7BEmS7D7eerp7Gz3dnblLAADX45Ic3Nqsf49WfLt7VHLlmsb9b66WbPpFrLUKAKhvBCa4tXsD7Fqe/IBG9AiTYUjpX+5X+PQv9NbGn1Vy5U+rywMA3CUITHB7dh9vpQ/trDlPRle0vZF9QH9cLbOwKgDA3YQ5TGgQbDabnuvdXvcHNdWcz37S451bKaiZn9VlAQDuEjx8t47w8F0AABoeHr4LAABQRwhMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJghMAAAAJnysLsBTGIYhSSouLra4EgAAUFs3zts3zuM3Q2CqIyUlJZKksLAwiysBAAC3qqSkRA6H46af2wyzSIVaKS8v12+//aaAgADZbLY6O25xcbHCwsJ0/PhxNWvWrM6Oi6ro6/pBP9cP+rl+0M/1w5X9bBiGSkpKFBoaKi+vm89UYoSpjnh5ealNmzYuO36zZs34y1hP6Ov6QT/XD/q5ftDP9cNV/VzTyNINTPoGAAAwQWACAAAwQWByc3a7XTNnzpTdbre6FI9HX9cP+rl+0M/1g36uH+7Qz0z6BgAAMMEIEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCk5t7++23FR4eLj8/P8XFxWnLli1Wl+RR0tPT1aNHDwUEBCgoKEhPPfWUCgsLrS7L46Wnp8tmsyklJcXqUjzSiRMnNGbMGLVs2VL+/v7q1q2b8vLyrC7Lo1y7dk2vvvqqwsPD1bhxY0VERGjOnDkqLy+3urQGbfPmzRoyZIhCQ0Nls9n06aefVvrcMAzNmjVLoaGhaty4sQYOHKiCgoJ6qY3A5MZWrVqllJQUzZgxQ7t27VK/fv302GOP6dixY1aX5jE2bdqkiRMnKicnR9nZ2bp27ZoSExN16dIlq0vzWLm5ucrMzFSXLl2sLsUjnT9/XgkJCWrUqJG+/PJL/fTTT3rjjTfUvHlzq0vzKK+//roWL16sjIwM7du3T/PmzdP8+fP11ltvWV1ag3bp0iV17dpVGRkZ1X4+b948LViwQBkZGcrNzVVISIgeeeSRiue5upQBt9WzZ09jwoQJldqioqKMadOmWVSR5zt9+rQhydi0aZPVpXikkpISIzIy0sjOzjYGDBhgTJkyxeqSPM7UqVONvn37Wl2Gxxs8eLAxbty4Sm1Dhw41xowZY1FFnkeSsXbt2or35eXlRkhIiPHaa69VtF25csVwOBzG4sWLXV4PI0xu6urVq8rLy1NiYmKl9sTERG3bts2iqjyf0+mUJLVo0cLiSjzTxIkTNXjwYD388MNWl+Kx1q9fr/j4eA0bNkxBQUHq3r27li5danVZHqdv377auHGjDhw4IEnavXu3tm7dqscff9ziyjzX4cOHVVRUVOm8aLfbNWDAgHo5L/LwXTd19uxZlZWVKTg4uFJ7cHCwioqKLKrKsxmGodTUVPXt21cxMTFWl+NxVq5cqZ07dyo3N9fqUjzaoUOHtGjRIqWmpuqVV17Rjh07NHnyZNntdj333HNWl+cxpk6dKqfTqaioKHl7e6usrExz587VyJEjrS7NY90491V3Xjx69KjLfz6Byc3ZbLZK7w3DqNKGujFp0iTt2bNHW7dutboUj3P8+HFNmTJFGzZskJ+fn9XleLTy8nLFx8crLS1NktS9e3cVFBRo0aJFBKY6tGrVKn300UdasWKFoqOjlZ+fr5SUFIWGhmrs2LFWl+fRrDovEpjcVGBgoLy9vauMJp0+fbpKusade+GFF7R+/Xpt3rxZbdq0sbocj5OXl6fTp08rLi6uoq2srEybN29WRkaGSktL5e3tbWGFnqNVq1bq1KlTpbaOHTtqzZo1FlXkmV5++WVNmzZNI0aMkCR17txZR48eVXp6OoHJRUJCQiRdH2lq1apVRXt9nReZw+SmfH19FRcXp+zs7Ert2dnZ6tOnj0VVeR7DMDRp0iR98skn+uabbxQeHm51SR7poYce0t69e5Wfn1/xio+P1+jRo5Wfn09YqkMJCQlVlsY4cOCA2rVrZ1FFnuny5cvy8qp8CvX29mZZARcKDw9XSEhIpfPi1atXtWnTpno5LzLC5MZSU1OVlJSk+Ph49e7dW5mZmTp27JgmTJhgdWkeY+LEiVqxYoXWrVungICAihE9h8Ohxo0bW1yd5wgICKgyL6xJkyZq2bIl88Xq2Isvvqg+ffooLS1Nw4cP144dO5SZmanMzEyrS/MoQ4YM0dy5c9W2bVtFR0dr165dWrBggcaNG2d1aQ3axYsXdfDgwYr3hw8fVn5+vlq0aKG2bdsqJSVFaWlpioyMVGRkpNLS0uTv769Ro0a5vjiX34eHO7Jw4UKjXbt2hq+vrxEbG8vt7nVMUrWv9957z+rSPB7LCrjOZ599ZsTExBh2u92IiooyMjMzrS7J4xQXFxtTpkwx2rZta/j5+RkRERHGjBkzjNLSUqtLa9C+/fbbav9NHjt2rGEY15cWmDlzphESEmLY7Xajf//+xt69e+ulNpthGIbrYxkAAEDDxRwmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmAAAAEwQmALiJjz/+WH5+fjpx4kRF2/jx49WlSxc5nU4LKwNQ33j4LgDchGEY6tatm/r166eMjAzNnj1b77zzjnJyctS6dWurywNQj3ysLgAA3JXNZtPcuXP17LPPKjQ0VG+++aa2bNlCWALuQowwAYCJ2NhYFRQUaMOGDRowYIDV5QCwAHOYAKAGX331lfbv36+ysjIFBwdbXQ4AizDCBAA3sXPnTg0cOFALFy7UypUr5e/vr9WrV1tdFgALMIcJAKpx5MgRDR48WNOmTVNSUpI6deqkHj16KC8vT3FxcVaXB6CeMcIEAP/i3LlzSkhIUP/+/bVkyZKK9ieffFKlpaXKysqysDoAViAwAQAAmGDSNwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgAkCEwAAgIn/B4c52mZYmd21AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", @@ -520,7 +377,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "dats0001", "language": "python", "name": "python3" }, @@ -534,7 +391,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.13" + "version": "3.9.18" } }, "nbformat": 4, diff --git a/nb03b-visualization.ipynb b/nb03b-visualization.ipynb index cb64ff8..a3889ac 100755 --- a/nb03b-visualization.ipynb +++ b/nb03b-visualization.ipynb @@ -47,21 +47,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "e65537d2-cd60-43da-8c54-328a33966d21", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Which part is the largest?\n", "fig = plt.figure()\n", @@ -84,21 +73,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "e859f51e-d8f6-41d8-9575-b00f9f97e7b0", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Using lengths\n", "fig = plt.figure()\n", @@ -111,21 +89,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "91cbaac5-03c2-4d0e-b69c-d4f36a476b99", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Using positions\n", "fig = plt.figure()\n", @@ -154,7 +121,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "id": "799e55c7-454a-4e24-b298-4d74d70dedea", "metadata": {}, "outputs": [], @@ -171,21 +138,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "1a0a8e17-5560-43ea-86f5-3a0f89698916", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", @@ -197,21 +153,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "332c55fd-6170-4205-a01e-7d2446a39b7b", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, axs = plt.subplots(2, 2)\n", "\n", @@ -225,21 +170,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "c93d67f3-5adc-4c34-ae03-ad4c2f5f7e7c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# A mix of both summaries and data\n", "fig = plt.figure()\n", @@ -248,30 +182,19 @@ "ax.boxplot(datasets[:, 1].T)\n", "for i in range(4):\n", " y = datasets[i, 1]\n", - " #ax.scatter(i + np.ones_like(y), y)\n", + " ax.scatter(i + np.ones_like(y), y)\n", " # ax.scatter(i + np.ones_like(y), y, alpha=0.5)\n", - " ax.scatter(np.random.normal(i+1, 0.025, size=len(y)), y)\n", + " # ax.scatter(np.random.normal(i+1, 0.025, size=len(y)), y)\n", "\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "086626ce-40bc-4637-a366-540909c97afe", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Another example\n", "df = pd.read_csv(\"data/countries.csv\")\n", @@ -287,21 +210,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "51e1992c-c7ef-486b-b590-bbb3b7eec8f7", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "df = pd.read_csv(\"data/countries.csv\")\n", "\n", @@ -320,21 +232,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "68306f04-6cec-4565-a569-0635ca7f5d4a", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Log-transform\n", "df = pd.read_csv(\"data/countries.csv\")\n", @@ -365,85 +266,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "38cf00fb-3a1c-459b-827b-294227a746f9", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
GenderHeightWeight
0Male73.847017241.893563
1Male68.781904162.310473
2Male74.110105212.740856
3Male71.730978220.042470
4Male69.881796206.349801
\n", - "
" - ], - "text/plain": [ - " Gender Height Weight\n", - "0 Male 73.847017 241.893563\n", - "1 Male 68.781904 162.310473\n", - "2 Male 74.110105 212.740856\n", - "3 Male 71.730978 220.042470\n", - "4 Male 69.881796 206.349801" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "df = pd.read_csv(\"data/weight-height.csv\")\n", "df.head(5)" @@ -451,21 +277,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "4d6f6588-ffb4-401e-b9e2-5b81a58d4881", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, axs = plt.subplots(1, 2)\n", "\n", @@ -480,21 +295,10 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "f39a52f9-3af9-4eb0-b783-55a0cc12ecbb", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Use common axes\n", "fig, axs = plt.subplots(1, 2)\n", @@ -510,21 +314,10 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "4fcf84f8-7f94-482e-a3f1-a6a1ddd8cf09", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Align plots\n", "# (vertically to see horizontal changes and vice-versa)\n", @@ -541,21 +334,10 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "04891121", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Or merge them\n", "fig = plt.figure()\n", @@ -573,21 +355,10 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "28e31a48-5c98-4b5d-8261-92d8106b18a8", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Don't distort quantities\n", "df = pd.read_csv(\"data/countries.csv\")\n", @@ -612,21 +383,10 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "1e7781a6-2a48-4adf-a581-f43528a09f55", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", @@ -643,21 +403,10 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "id": "0fface81-6e61-4c6f-bfb4-a854fe219ea5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", @@ -670,21 +419,10 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "e9af3871-6c56-4233-be54-8f0289a84d1b", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Sort on a meaningful variable\n", "fig = plt.figure()\n", @@ -709,21 +447,10 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "b2a0b6b4-fd66-4bc1-b90f-36404a37c432", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "df = pd.read_csv(\"data/countries.csv\")\n", "df = df.query(\"Country in ('United States', 'China', 'Germany', 'France', 'Belgium')\")\n", @@ -752,21 +479,10 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "53d8a560-92c7-4603-a8a4-427eb44ca715", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAicAAAGKCAYAAADXOuFwAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAADV5ElEQVR4nOzdeViUVfvA8e8zwzDs+44oqKgg7vtWmuZW5pqW+aZlamX5c2sxdyut1LLFymzRsjIz9a0szRZfTXPXUkFFQ0EFQfZ1Bmae3x84I8M6KMwMcj7X5VU8c3g4IM7cc8597luSZVlGEARBEATBRiisPQFBEARBEISSRHAiCIIgCIJNEcGJIAiCIAg2RQQngiAIgiDYFBGcCIIgCIJgU0RwIgiCIAiCTRHBiSAIgiAINkUEJ4IgCIIg2BQ7a0+guvR6PVevXsXV1RVJkqw9HUEQBEEQzCDLMtnZ2QQFBaFQVL42UueCk6tXrxISEmLtaQiCIAiCcAsSEhJo0KBBpWPqXHDi6uoKFH9zbm5uVp6NIAiCIAjmyMrKIiQkxPg6Xpk6F5wYtnLc3NxEcCIIgiAIdYw5KRkiIVYQBEEQBJsighNBEARBEGxKnQlOVq9eTWRkJJ06dbL2VARBEARBqEWSLMuytSdRHVlZWbi7u5OZmSlyTgRBEAShjqjO63edWTkRBEEQBKF+EMGJIAiCIAg2RQQngiAIgiDYFBGcCIIgCIJgU+pcEbbaoi0sYu2m7fwbf5nGDRswafR92KvEj0cQBEEQLE28+gLzV33C8iXz0KQnGa/NejaA5xa8wsvTJ1pxZoIgCIJQ/9T74GT+qk94ZcYkHJt2IuC+2ah8G1GYconMA5t4ZcYkABGgCIIgCIIF1es6J9rCItz8Q1B4N8R3xDwk6WYKjizrSdnyCvrUeLKuJYgtHkEQBEG4DaLOiZnWbtqOJj0J966jTQITAElS4N71QTTpSazdtN1KMxQEQRCE+qdeLwf8G38ZAJVvI2S9Ds3l0+hy0lG6eKJu0BKVTyOTcYIgCIIg1L56HZw0btgAgOyjP5L99w50mdeMjynd/XFtM8BknCAIgiAItc8qOScrVqzgs88+Q5IkXnzxRcaNG2f259Z0zomzhw9FeZk4NumMe7fRNxNi/9pE/oVD2Dl7kJueInJOBEEQBOE2VOf12+KvuCdPnuSrr77i6NGjAPTt25f7778fDw8PS08FAFmSiv+LDMggyzc+qlN5woIgCIJwx7B4QmxMTAzdu3fHwcEBBwcH2rZty44dOyw9DaA4IVaXm4HHXeMpvB5P0obnSFg1mqQNz1F0PR6Pux6lKDdDJMQKgiAIggVVOzjZs2cPQ4YMISgoCEmS2LZtW5kx77//PmFhYTg4ONChQwf27t1rfCwqKoo//viDjIwMMjIy+P3337ly5cptfRO3ypDo6trhfoInf4T/w0vxGfIc/g8vJWjyR7i2v99knCAIgiAIta/awUlubi5t2rThvffeK/fxb775hunTpzN37lyOHz9Or169GDRoEPHx8QBERkYybdo07rnnHoYPH06nTp2ws7NOPoch0bUw5RKSQolDw9Y4R96NQ8PWSAolhdcvmYwTBEEQBKH23VZCrCRJbN26lWHDhhmvdenShfbt2/PBBx8Yr0VERDBs2DCWLVtW5h5PPPEEw4cP57777iv3a2g0GjQajfHjrKwsQkJCRBE2QRAEQahDrFaETavVcvToUfr3729yvX///uzfv9/4cXJyMgBnz57l0KFDDBgwoMJ7Llu2DHd3d+OfkJCQGpuvvcqO5xa8Qv75w6RseQXNlRj0mjw0V2JI2VJ8/bkFr4jARBAEQRAsqEZfda9fv45Op8Pf39/kur+/P0lJN5vqDRs2jIyMDJydnfnss88q3daZM2cOM2fONH5sWDmpKYa+OcuXzCNpw3PG62rPAOa9tVb01REEQRAEC6uVJQHpxvFcA1mWTa6VXEWpilqtRq1W19jcyvPy9InMnzqetZu282/8ZRo3bMCk0feJFRNBEARBsIIaffX18fFBqVSarJJA8TZO6dWU6lq9ejWrV69Gp9Pd1n0qYq+yY+ojQ2vl3oIgCIIgmK9Gc07s7e3p0KEDu3btMrm+a9cuunfvflv3njp1KtHR0Rw+fPi27iMIgiAIgm2r9spJTk4O58+fN34cFxfHiRMn8PLyomHDhsycOZP//Oc/dOzYkW7duvHRRx8RHx/Pk08+WaMTFwRBEAThzlTt4OTIkSP06dPH+LEhWXX8+PGsW7eOMWPGkJqaypIlS0hMTCQqKoqffvqJRo0a3dZEa3tbRxAEQRAE22CVxn+3oyYb/wmCIAiCYBlWq3MiCIIgCIJwu0RwIgiCIAiCTakzwcnq1auJjIykU6dO1p6KIAiCIAi1SOScCIIgCIJQ60TOiSAIgiAIdZYITgRBEARBsCl1JjgROSeCIAiCUD+InBNBEARBEGqdyDkRBEEQBKHOEsGJIAiCIAg2RQQngiAIgiDYlDoTnIiEWEEQBEGoH0RCrCAIgiAItU4kxAqCIAiCUGeJ4EQQBEEQBJsighNBEARBEGyKCE4EQRAEQbApdSY4Ead1BEEQBKF+EKd1BEEQBEGodeK0jiAIgiAIdZadtScgCIIgWI5Op+N///sfJ0+exNXVlbvuuovGjRujUIj3qoLtEMGJIAhCPbFlyxamTZvGlStXjNc8PDwYOnQozz//PJGRkVacnSDcJIITQRCEemDLli2MGjWK8PBwJk6ciJ+fH8nJyezdu5f169eTn5/PwoULRYAi2ASxjicIgnCH0+l0zJo1i4iICB566CEaNGiAvb09DRo04KGHHqJZs2b88ssv/PTTT+j1emtPVxBEcCIIgnCn27t3LxcvXqRbt25IkmTymCRJ9OzZk4yMDE6dOsWlS5esNEtBuKnOBCeizokgCMKtSUxMBMDPz6/cxw3Xs7OzycnJsdi8BKEidSbnZOrUqUydOtV4Trqm6XQ69u7dS2JiIn7+AagbtCQ1rxA/Vwc6h3mhVEhV30QQBMEGBQYGApCcnEyDBg3KPJ6cnAyAq6srLi4uFp2bIJSnzgQntWnLli3MmjWLixcvGq8p3f3x6jMRp+bdCXR3YOGQSAZGBVpvkoIgCLeoV69ehIaG8tdffzFq1CiTrR1Zlvnzzz/x8PAgKiqKRo0aWXGmglCszmzr1BZDBnurVq14c8MPNJzxLQHjVmDv24iUbcvIO7ufpMwCntpwjB2nEq09XUEQhGpTKpWsXLmSmJgYNm7cSEJCAhqNhoSEBDZu3Mi5c+fo378/gwcPFvVOBJtQr8vX63Q6mjZtSqtWrfhuy1buWr6bxMwCAGRZT8qWVyhMuUTQ5I9QKJQEuDvw5wv3iC0eQRDqJFHnRLCm6rx+1+ttHUMG+9dff82RSxnGwARAkhS4d32QpA3Pobl8GoeGrUnMLOBQXBrdmnhbcdaCIAi3ZsSIEQwdOlRUiBVsXr0OTgwZ7FFRUfx2PrPM4yqf4r1XXU668VpydkGZcYIgCHWFUqnknnvu4Z577rH2VAShQvU6VDZksJ86dQo/V4cyjxdeLz7vr3TxNF4rb5wgCIIgCDWnXq+cGDLYly5dyndbthLo7kBSZgEyxTknmQe+xc7dH3WDlkhAgHvxsWJBsGV6vczlM6n8b88esnLTiGjXhLvvvgulUmntqQmCIJilXgcnhgz2UaNGMXLEcEaPnsSq5AK01y+ReeBb8s8fxnfYHBSK4if1hUMiRTKsYNMuHE/mrSUfs/G3d0nNTjJebxAUwtvvrmLEiBFWnJ0gCIJ56vVpHYPy6pzYufvjKeqcCHXIhePJvPbCB3yyazEtG3VlQLuxBHmFcTUtjp3Hv+J0/AE2b94sAhRBEKyiOq/fdSY4Wb16NatXr0an03Hu3LkaDU5AVIgV6ja9Xmbdi3t5/sMxBHqFMXnAEhTSzZQyvazn098Xkam7SmxsrNjiEQTB4u7I4MSgpldOdHqZQ3FpJGcXiEBEqLOunE3njec+450fZjFr2LuE+ZetV/Fv0mne/O80/vjjD3r37m35SQqCUK+JOidm2nEqkcU/RJvUNxFbOEJdlJulISsvDYAgr7ByxxiuG47QC4Ig2Kp6e5R4x6lEntpwzCQwAUSpeqFOcnZT4+ZUfJLsalpcuWMM1w1H6AVBEGxVvQxOdHqZxT9EU95+luHa4h+i0enr1I6XUI8FhnvQpkVHvF0D2Hn8K/Sy3uRxvazn99PfEBYWRq9evaw0S0EQBPPUy22dPdGXuXj2VJnrcpGWosxr2Ln7czHJni9+kGgd4gFAixYtcHJysvBM7xw6vY5jycdIyk7iyskruOa7EhwcTK9evURyZg1QKCTufrgFw088ySe7FvPRzgX0b/uw8bTOLye+Np7WET9vQRBsXb0MTo6fPE3S+ulVjnts/c3/P3r0KO3bt6+9Sd3Bfr30K68deo1ze86RtDGJwuuFxsdCQ0NZuXKlON5aA5q08+PF159C7axi42/v8uZ/pxkfCwluKI4RC4JQZ9TL0zp/nEpg7IotZa4XpiaQ+uNKvO+fhco7BHdHO76Y2BWlQhIrJ7fo10u/MnP3TDKOZJCwOgHXNq743u+LQwMHNJc1+B7w5eBvB8ULZw0SFWIFwfq0RUWs+fkX4q5cJSw4iCmD+mNvVy/XA4zEaZ0q3BXZgMAmkaTlast9XOUdgjqgKQVAkWconUQX4lui0+t47dBr6PV6kjYm4drGlYbTGiLdOKrt1NQJ5yhn7nO4j9mzZzN06FDxAloDFAqJhpE+/CdSBHuCYA1zP/uCFXPnoE28Yrw2OzCY2a8u49XH/mPFmdUd9TIhVqmQGNY2yKyxu6KTqh4klOtY8jGu5V0j92wuhdcL8b3f1xiYAMjIXCu4xrApw4iLi2Pv3r1WnK0gCMLtm/vZFyydOB5Cm+D53np8t+/D8731SKFNWDpxPHM/+8LaU6wT6mVwAnBvZIBZ4z7dd1EcK75FKXkpABRlFgGgbqAud5x7Q3dA1N8QBKFu0xYVsWLuHOy79sLj5bewj2yNwtEJ+8jWuL/8FuquvVgx7yW0RUXWnqrNq7fBSecwLwLdHaocJyGOFd8qXydfAOzci3cPNZc15Y7LjM8ERP0NQRDqtjU//4I28QrOj0xEUpi+vEoKBU5jH0d79TJrfv7FSjOsO+ptcKJUSCwcUrbEd2kykJhZwKG4tNqf1B2mvV97/J38cWnugspHRcqPKcglgjwJCX8Hf7at2SbqbwiCUOfFXbkKgF1Y03IfN1w3jBMqVm+DE4CBUYFM7BFq1tjk7IKqBwkmlAolL3Z+EUkhEfhQINl/ZxP/Tjx55/PQ5+vJPZ9L7se5bN++nRUrVohk2Bqk0+nYvXs3X375Fd9+/gMxB65w5Ww6erECKAi1Jiy4OJexKO58uY8brhvGCRWzymmdt956i48//hhZlunXrx9vv/02kmSdZnv9IgP4ZN/FKsf5uVa9BSSU1a9RP97s/SavOb2GjEzSxiT+feVf4+NymCyOEdewLVu2MGvWLC5evGi85u0awPCuT9KjfT96jQmnSTs/601QEO5QUwb1Z3ZgMHlffoLq5bdMtnZkvZ68rz7FPqgBUwb1t+Is6waLBycpKSm89957nD59GpVKxV133cWBAwfo1q2bpacC3Mw9Scosf2VEAgLci7sVC7emX6N+9Anpw7Fex0iaJirE1qYtW7YwatQo+vS6l5FtZxkrxO48/hWf7FoMQG6GhoFTokSAIgg1zN7OjtmvLmPpxPFkzp+B09jHsQtrSlHcefK++hTNgb289Mn6el/vxBxW+QkVFRVRUFAcDBQWFuLnZ70nSUPuyVMbjlF67cbw8cIhkSgV1lnZuVMoFUo6BXSCACDc2rO5M+l0OmbNmsV9993P8MjnyM8srsQb5h/J5AFL+GjnArYeWEPr0O78uSmWsDa+KMTvtSDUKEMdkxVz55D+7ATjdfugBrz0yXpR58RM1c452bNnD0OGDCEoKAhJkti2bVuZMe+//z5hYWE4ODjQoUMHk/oVvr6+zJ49m4YNGxIUFES/fv1o0qTJbX0Tt2tgVCAfjGuPj4vpUdcAdwc+GNeegVHiFIlg+/bu3cvFixeZNO4ZY2BioJAU9G/7MKnZiZxPOklOuobE2AzrTFQQ7nCvPvYfsuMv8s7325nxwVre+X472ZfiRGBSDdVeOcnNzaVNmzY89thjjBw5sszj33zzDdOnT+f999+nR48erFmzhkGDBhEdHU3Dhg1JT0/nxx9/5OLFizg6OjJo0CD27NnDXXfdVSPfUHXp9DKH4tLQFOmZfm84E1fDcwOa061zJzqHeYkVE6HOMNSJCQloQgKXyjwe5BUGQFZe8cmz3Kzyj3YLgnD77O3seHbIYGtPo86qdnAyaNAgBg0aVOHjb775JhMnTuSJJ54AYNWqVezcuZMPPviAZcuW8euvv9K0aVO8vIpzOO677z4OHDhQYXCi0WjQaG4+iWZlZVV3yhXacSqRxT9Ek3gj30STVJxJHXstG+tkwAjCrTPUiUlIukB5/7SvpsUB4OZU/G/P2a38oniCIAjWVqNHibVaLUePHqV/f9NM5P79+7N//34AQkJC2L9/PwUFBcbjjs2bN6/wnsuWLcPd3d34JyQkpEbmuuNUIk9tOGYMTEraduIqD689QM/XfxfVYYU6o1evXoSGhrJ2w3s4uqtMHtPLen458TXeroE0DWiFi6eawHAP60xUEASbpNPL/HkumVc+/pbFqz7it9//QKfTWWUuNZoQe/36dXQ6Hf7+/ibX/f39SUoq7lHTtWtXBg8eTLt27VAoFPTt25cHHnigwnvOmTOHmTNnGj/Oysq67QBFp5dZ/EM0VVV8SMos4KkNx0TeiVAnKJVKVq5cyahRo8jL0tDW837jaZ1fTnzN6UsHmHjvQhQKJT1Hh4tk2Nsk62Xyzqexd88eruWk0rB1E+4S3Z+FOmrHqUT+b9kaLmz/EF3mNeN1/+AQ3n9nlcXLPdTKaZ3SNUtkWTa59uqrr/Lqq6+adS+1Wo1aXbPLz4fi0spdMSlN5mb5+nsjA0T+iWDzRowYwebNm5k1axa/75lmvO7tGsjEexfSs0M/eo4WdU5uV/6p63y17GMWb3+bhMybzUEbBTfkzXfeEnV7hDplx6lEHp3/HinbluHYtBPuQ55D5duIwpRLZB7YxKhRoyxej6pGgxMfHx+USqVxlcQgOTm5zGpKda1evZrVq1dXe4kpNjaW7Oxsk2t/nU025peUVJiaYPJfg4tJ8MUPEq1DPEyuu7q6Eh4uzsUKtmXEiBEMHTqUvXv3cuXKVex1rkQ1a4+bpxOB4R5ixeQ25Z+6zob5HzJl2wL6Nu3Ge0MW0tw3jLMpcbx74AurPJELtkdbVMSan38h7spVwoKDmDKov03WN9HpZRb99yRpf3yCY9NO+I6YhyQVZ3yog1vgN2IeWd8vY/bs2QwdOtRiK4OSLMu3XM9akiS2bt3KsGHDjNe6dOlChw4deP/9943XIiMjGTp0KMuWLbutyULxto67uzuZmZm4ublVOjY2NpZmzZrd9teszLlz50SAIgg1QKfT3QiorqDSFhDZJAx3bx+CI1qiUNjGVomsl7my7C+6Lx9Jc9/GfDJiKQrpZuqeXtbzxPfzOa+5TGxsrNjiqafmfvYFK+bOQZt4xXjNPjCY2a8us7njxH9dSGX4/I+49vVLBIxbgTq4RZkxmisxJG14jj/++IPevXvf8teqzut3tcO4nJwczp+/ueoQFxfHiRMn8PLyomHDhsycOZP//Oc/dOzYkW7duvHRRx8RHx/Pk08+Wf3v5DYZVkw2bNhARESE8bpOLzNx3WGu52hM8k7kIi1Fmdewc/dHsrM3udey4a1MVk5iYmIYN25cmVUZQRCqr7yS+57OjjzQJoJurVtxz4TJhHfpbr0J3qCJy+Sv00dIyEzivSELTQITKK4nM7Xjwwzb8DR79+69rSdyoW6a+9kXLJ04HvuuvfCcu/RmhdgvP2HpxPEANhWgJGcXoMtJB0Dl26jcMSqf4uuGcgWWUO3g5MiRI/Tp08f4sSFZdfz48axbt44xY8aQmprKkiVLSExMJCoqip9++olGjcr/ps11q9s6ABEREbRv397k2hsOQTy54VjZwQ1MOxUbytf/Z0gfkXMiCLXAWHK/R3eGNAkiwM2VpKxsfos5z+f7i/+N5ry5lAdmvmT1AEWfreVaTioAzX3Dyh3T3KcxYNkncsE2aIuKWDF3DvZde+FRoreOfWRrVC+/Reb8GayY9xIL//OwzWzx+Lk6oHTxBKAw5VK5KyeF14vrJhnKFVhCtY8S9+7dG1mWy/xZt26dcczTTz/NxYsX0Wg0HD16tEYKrE2dOpXo6GgOHz582/cylyhfLwi162bJ/fsY1bIJjbw9UavsaOTtyYQeHYkI8uOHv2PQ62X+WP8Rer11jjUaKFzt8XfxBuBsSly5Y85eL25sackncsE2rPn5F7SJV3B+ZKJJ0z8ASaHAaezjaK9eZs3Pv1hphmV1DvMitGUH7Nz9yTywCVnWmw6Q9WiObCEsLIxevXpZbF41WuekrjAcJa6Kh5NKHCMWhFpkKLn/xMNjyEtPNXlMIUnc06Ipabn5/Hs9jezU61yJOW2lmRZTh7nTrWVHQtwDePfAF+hLPZHrZT2rj3xt8SdywTbEXbkKgF1YU2SdDu2JI+T/9jPaE0eQdTrswpqajLMFSoXEoqGt8Owzkfzzh0nevITUX9dwfcd7pP66hmubl5Bx9gArVqywaA6VbawrWZi5R4nT8wqrHCMIwq0zbH0E+3pT9vwcBLi7ApB9o1FoTka6paZWLkkh4T20GfOPTGXKtgVM3PISz3QdR3Ofxpy9/i/vHdjAbxf+YvPmzSIZth4KCw4CIG/LRvK3f4c+6WYQoggIwvG+ESbjbMXAqEBmTHqEl0/9Rv75g2Ue94jojlMzy9ZNrzPBye3knJSWnF11YGIgapwIQu0xbH1cSUkt9/GkzOKEc1cHBwBcPDwtM7FKOEb5MO7lJ1E42bF4+9sM2/C08bHQ4EbiGHE9FtKxM5KHJ7mfvIuqay/c5y0zJsTmbPiY3E/ew87TiymD+ld9MwvacSqR1xbPJ//8QRRO7qhDWiGpHJALC9AknCQjZj9jJj7DN5+8Z7GdhDoTnEydOpWpU6cajyLdDj9XB7PHJmYWcCgujW5NvG/rawqCUJah5P7HX3/D4GBvk60dvSzz+5nzeDk70tjHC9cbx4ptgWOUD49/8QIPnZ8kKsQKAOhkmUXnb66USJIEsmz8YyhE6qxUopRs582uTi+zcOsJsg5vQ1I7gZ09+Wf/ND6ucPNFUjuRdfi/LNz6hMXerNeZ4KQmdQ7zItDdwaytHajeSosgCOYzKbnfozuR9jIB7q4kZWbz+5nzxFxN5tHu7VEoJPqMn2wz9U6geIvHuZk3A5sNt/ZUBBtwICOH+COHkDPScX7iWfJ//I70ZycYH1cGBuM88RkyP3nPpo6ZH4pLI3b3FpD1yJo8HEKicH/gBZMKsfnnDwEQu3sLh8Z2tsib9XoZnCgVEguHRJZ/lLgc1VlpEQShekxK7peoc+Ll7Mij3dvTvU0r+oy3jTonglCRZG0RutQUAJyGP4TzmPEUnjyOLjUFpbcvqlbtkDUF5H7ynk0dM0/KKqAwvXjFRx3atkyFWN8R87i2aQGaiycoTL9qsTfrdSY4qcmcEyhOAHp/bDue+fo4+gpq5BpqnHQO86qRrykIQvlMS+7bboVYQaiIn70dSm9fAIrizmMf2Rr7th1NxhTGFad929Ix87QcjfH/1f7hxsDEQJIU2Ps3QXPxBGC5N+t1JjipyZwTg8Gtg3gPiae/Kn8FRUbUOBEES1EqlTaz1C0I1dXVw4WGHTuTFRBE7pefoCpRhA0AvR7dxnU2d8zcy9ke+6DmcPwnck7+gvtdj6BQ3AwN9Poick/+CoBfkyiLvVmvM8FJbfn7snWPJtY3Op2O3f/bzV9n/8LO3Y7ed/emU2AnlOKdsSAIdZhSkni1RUPGPTmTjMXPkTF/Bs5jH8curCm6uPPkfvUp2gN7+czGjpkHuDuicite8dHnZXJl9QQ8ej2CY5PO5F84RMbeL9HnZQIwZXBni71Zr9fByU//XGXNnvKrPBqIo8Q1Z8uWLUz9v6kkXb7ZtVrlo6LF+Ba8+eyb9GvUz4qzEwRBuD33+Xqw4emJPKNScumdN0wSYj0bhLDh229t7pi5oULsdXd/JElBUeY10nauBlYXD5AU2HkE4u2sYtajwyw2r3obnOj0MvP+e6rKceIocc0w9E9xaeNC4wmNUTdQo7msIeXHFE6+eZKJmol8MvsTEaDUkJsdfq9ir3Mlqll73DydCAz3QCECbUGoNff5epDfPITJKjtKrstnFul47mwCjikZ3OfrYa3plWGoEPvokYmkbFuGQ+MO2HkGIhcVItmpKEpPRBN3lPc/seyKT50JTmo6IfZQXBppueZVgBVHiW+PoX+Kd3tv/Kf6I914cXRq6kTDaQ2JfyeexG8Sea3na/QJ6SO2eG5TeR1+vV0DGN71SXq070evMeE0aednvQkKwh1sy5YtjH7wQey69MRlxCNIagdkTQGaQ/u4OG8m4wp1bHh6ok0FKAOjAvn85Wf4PycVF7Z/SMG/R4yPBQQ3ZLUVCgvWmeCkphNiqxNwiKPEt8fQP6XxuMbGwMRAUkj43u/Lv6/8y4XjFzh29zE6BXSy0kzrPsMKVe+e/ejU4AHslWq0Og0x8Yf4ZNdiAHIzNAycEiUCFEGoYTqdjqemz0AZHoHu4gVyDuw1PqYICMIuPILsNW8x7557GejjblPF2AZGBXJy/QI++99DfPfVZxRlJDK4e1umPfsM9vb2Fp9PnQlOapq5AYe3s704SnybDGf61Q3U5T6uDi6+XpRZREpeisXmZS7DFkliYiIBfn50cHRCTkvDztcXp44dkGwkuc2wQtWyRWv+Pv4PaTm7jI95ufgT4hPO1gNraB3anT83xRLWxlds8QhCDXrjh59JTogHScK+ay+cS5Svz/3yE7QH9oIsc+nIIQ5EhdHD09XaUzbacSqR/1u2hgvbP0SXeQ2AP7Z8wYq3VvH+O6vEyomlmFsl9uWhUSIZ9jYZzvRrLmtwaupU5nHNleJz9nbudvg6+Vp0blUpb4skWKXieV8/7nV1xS4gAP+X5uDW3/q9MgwrVABRjbrxWL95BHmFcTUtjp3Hv+LUpb8AOJ90kmaKtiTGZhDc3Pq9agThTqCTZT48Xtw1275Td9wXraDo9N9o9v8Ppbcv7otWkDl/BtpD+yhKuUaytsjKM75px6lEHp3/HinbluHYtBPuQ54zqRA7atQoi/eMUlQ95M5kqBJbWdgx5a4wBre2nWI5dZWhf0rWz1lg2mEeWS+T8mMKKl8VTdo1ob1fe+tMshyGLZJWrVrx66pVHG7WnK8bNqKZvZrpV6+wKzubomvXuPJ/08n65RdrT5eEhMsARIR0ZvKAJYT5R6JWORLmH8nkAUuICOkMQGbOdQByszQV3ksQhOo5kJFD2vXif1uKgEBSxw8jfeYksl59ifSZk0gdPwyFf/HriZyZgZ+9bawN6PQyi/57krQ/PsGxaSd8R8xDHdwChb0j6uAW+I2Yh0fzrsyePbvGcj7NUW+DEyjeY/tgXHsC3U23eLycVbw/th1zBkdaaWZ3FkP/lNRjqVx65xJ55/PQ5evIO59H/DvxZP+dTeCYQF7s+qLNJMMatkjuv/9+tn73HQ23bsNZkmjj6Mi7wcH0dnZheUoyOn1xtHVt6TJkC/7DLc+F6HgA2ob1RFGqyqNCUtAmtAcA2QUZADi7lb/NJghC9SVri1C4ewBQ8P1m7MKa4vneeny378PzvfXYhTWl4IfNAHj7+NDVw8WKs73pUFwaF08fRZd5Dfeuo8tUiEVSoO44gri4OPbu3Vv+TWqBbYRuZqjp0zoGA6MCuTcygENxaSRnF+DnWlyuXmzl1CxD/5Sp/zeVf1/513hd5aui9czWrHx2pU0dIzZskXz99dcUHDtOUdLN2iwKSWKStzdj4y9xND+Pzk7OFCUlkXfkKM5dOlttzi6OxYnif8f9SbcWg0wCFL2s55+L+26M88DFU01guIc1pnlH0hfpyfnrKrq0ApReDrh0C0JhZ7vv/fR6PZcuXSInJwcXFxcaNWqEQmG7860L/OztUHjf3JaWS3QkRpaLP77hiVbNbSYZNjm7AF1O8aFnlW+jcseofIqvW7InUJ0JTmqjfL2BUiGJOiYWYOifUhcqxBr+EUZFRVG0+39lHg9XF2evpxTdDJaLUqybzNsotCEA0QmH+WjnAvq3fdiYc/LLia+JTjgMgIezDz1Hh4tk2BqS8dO/5Oy9Utzv4oasn+Jw6RWMx+DG1ptYBaKjo9mxYwdZWVnGa25ubgwcOJDISLFafKu6erjgqlSQAShDQimKO29ShE0REIQyJBRdwkUua8wrY2EJfq4OKF2Kc88KUy6hDm5RZkzh9UuAZXsC1ZngpDbp9LJYObEQpVJJ33v60veevtaeSqUM/whPnTpFK9+ySbqxGi0AvnY3gyq7csZZ0rCHB+EzLRBHe1eupsXx5n+nGR/zdg0gxDecvIJsnp73sDhGXEMyfvqXnD1Xyj4gY7xuSwFKdHQ0mzZtKnM9KyuLTZs2MXr0aBGg3CKlJNFRLiAB0CVcxL5rL9RjxoO9GrQaNIf2FZ/WAb4/9y+rZdkmVk8MFWJT3f3JPLDJpCsxALIezZEtFu8JVO+Dkx2nEln8Q7TJqZ1AdwcWDolkYJRIhq2vDEm8S5cuZet332EXEEDRtWsgy+hlmbWpqTRQqejg6ASShJ2/P04dO1h1ziqVHYvnvcozz00ksmEX+rZ+EHs7NdoiDdEJh4mOP8i7b3xM887i97om6Iv0xSsmlcjZewW3/qE2scWj1+vZsWNHpWN27NhBixYtxBbPLcjLy6OpVJyD5jhsDJq9vxuDEQCFjy+OQ0eT/99N5GTnsP5/f/JQ5w44OZU9wWhJpSvEpmx5BfeuD6LyaUTh9UtkHviWgguH+djCPYHqdXCy41QiT204VnI1FoCkzAKe2nCMD8a1FwFKPWVI4h01ahTDR45k2rCheLz/AbFaDWuvp7I7N4dVQcEobzyJ+780xybqnTw9+zEAFr4yl9PxB4zXfd0DeW/5J8bHharFxsaSnZ1tci0/P994XDv/TBr5p5KrvE/zNdfx6XZzL9/V1ZXw8PAanatBZXNOSUlh3759Vd5DoVDQqVMnHB0dTa7X5rzvBGfOnGH5jP8DIH/bN2Ue119PIf+/xatW2W+9wsS3XqHt0aO0b2/9E4qlK8QmbXjO+FhAcEM2WKFCrCSXzNKpAww5J5mZmbi5uVU69tixY3To0IGj5fwC6PQyPV//vdI6JwFuava92LfcLZ7K7i3cOcqrc9JApeI5G6xzUlJBgYbXFq3g9MmzBAeE8Oz/PUtYlL/IMzFTbGwszZo1q7X7nzt3rsZf6Gt7zlA7875T5OXlcebMGRZ+u5UfX38VVat2qNp2Iu/zNTg9OoXCE4cpPHkcl8n/h327zixv3sAmVk5K0ull/jqfwu49/0OXk07P1uH0vvuuGlsxqc7rd71dOTkUl1ZlAbakLA3v/X6e/+sn/jHWFJ1ex7HkY6TkpeDr5Et7v/Y2lwxbkiGJty5UiDXYsmUL//fsdC5fTTBe2/DtpzzU91lmLHjCpvJN9HodV2JOk52WSn5WJo5u7rh6eRMc0RKFFX8vDKsPGzZsICIiwni9zMrJCTNWTga2N66cxMTEMG7cuDKrG5aYc0pKillHQXv16lVm5aQ2532ncHJyon379mxr146Gzl4krV5B4edrAMj7fA3KwGDcFy7H4a6+BKlVjO8WaRM5JyUpFRI9m/nRs9mD1p5K/Q1OzO2t89av52ge4CK2d2rAr5d+5bVDr3Et75rxmr+TPy92ftGmjhGXplQq6d27t7WnYRZD4bjIkC507zEclZ2awiINpxMO8f62eWhyC3nx9adsIkCJPbif39d9RE7a9TKPuXj5cM+EyYR36W6Fmd0UERFRZmW0R4/iejH6Ij1X5++jzL5wSRIETelh0ZyTiuas1+vR6/Ump3RKc3NzY9q0aSLn5DYoJYkpD41mdde7yP9pG9lvvYLrjHk4Dh5mfCMzzM/D5gITW1NnfgNXr15NZGQknTrVTFO46jTzW/xDNDp9ndr9sjm/XvqVmbtnmgQmAMl5yczcPZNfL/1qpZndOQyF4xr6NSMx/SKb9r3Dl/9bzqZ975CYfpEGvsW9dfZsPIPeyr/PsQf38/2bS8sNTABy0q7z/ZtLiT2438IzM5/CToFLr+BKx7j0CraJZFgoziUZOHBgpWMGDhwoApPbpJNltiZnICmVqJoXn3xSNY80WWHdlpyBrm5lVFhcnfktnDp1KtHR0Rw+fLhG7mforWOOxMwCDsWl1cjXrY90eh2vHXoNuZy3mIZrrx96HZ3euhVW6zpD4bhL184R5BXGrGHvsvLxH5k17F2CvMJISIklNTuREzFHSIzNsNo89Xodv6/7yKyxf6z/CL0N/154DG6My13BlOmDIYHLXbZX5yQyMpLRo0eX2e93c3MTx4hryIGMHBKrqGNyVVPIgYwcC82obqq32zqG3jpPbjhm1nhzt4GEmwwJYqevn+Zi9EXjdX2hnsKUQlS+KhSq4vg4jji+cv+KkT1H2lSCWF1i6K0TGdKJyQOWGCvEGnrrfPjzXKITDpGRe92qfXWuxJwmLfkaydlln5wLi3Sk5+Xj6eSIyk4J6Zns+G4zAU2K875atGhhc78fHoMb49Y/tM5UiI2MjKRFixaiQmwtMbehny01/rNFd3RwIhUV0C5AgWPGObha9h+eW/p1WkpxZt0rTOsCV29WAHXMOEe7AAVSkQhaKnLmzBk6dDC/9sejPErLoy1t7vRTkVbLro8/4WpcHEFhYdz7xETs7O2tPa0yDL112lTQW6d1aA+iEw6Rk59h1b46ORnpJGfnsGrXn2aNLznOVk/HKewUuPVqYO1pmE2hUBAWFmbtadyRzG3oZyuN/2zVHf3TcciJ59gUF9gzBfaUfbw7sN3c5+ifTD+MAI5NcSEmJ/7GnYTSWrRowdGjRzl9/TSL/1psvK65quHyR5dpMLkB6qCbfwELuy2kRYuypZOtacOCBcxZvpzLBTeD0AazZrLsuecYt2SJFWdWlqG3zokKeuv8faO3jqe7l1X76rh4eOLn6sL0e3uWeSw5K4evDp5gbJe2+LkVN0a7d9IzJisngmDLunq4EKhWVbq1E6RW2UzjP1t1RwcnBS4Nab8mhy+//JKIUk9qx+LTmf/f02bdZ+7gFnRv4mNyLebMGR555BE+GdywxuZ7pzEcrWujb8P6zPUk5yWb5J2og9Q4hjoiIeHv5M/YfmNt6ljxhgULePTll4s7EDdsRFO1mvMaDR+lpfLoyy8D2FSAYuitE5NwqNzeOjEJhwDocFekVeudBEe0xMvPH3u7iv+u/dxcaODpjqu3DwNHjrLqsWJBqA6lJDHcz4P3EyrutSVO61TtjgxOZFmmqKgIvVJNmjqEPPdwCrxMg5Ntf0WT4dK0ynu1Cnanfad2lN68yXPXkaYOQa9UU1Agtnaq8lL7l3jt0GsAFDgXUNSoiCDnIBzsi5OSX2z/IoXaQgqxjYZYRVot733zDQ9GRDLP3w/FjYzHVsDbjcN4JTmZ9775hmGzZ9fKFo9SqcTOzg6pGk9ght46TipXrqb+a9Jbx8slgIY+zcgrzOaJ2aNrfL7VoVAouWfCZL5/c2mVY5t3v0sEJvWYLOvIyDhMXl4ix44lkp3tTlBQML169bJoKfXqMJzWqcy25AzmNgkSAUol7rjgRKvVkpiYSF5eHnZ2dnz44YfY2dkRF2eaW9K/oYJegVXXerC3k8p8LlDpvYWyAgnk9ajXydRkUhRaRFFUEXbudtip7HBXu+OgdbCpn2N+djaL3n4bH6USWaGg9HmR5/R6rut0nDtzBkdX11qZg5OTE4GBgdibGfyU7K3TsmEX+rYZbeytE5NwmNPxB3lv+SeoVNb/Zx/epTtDpr/Ij2+/gSzrKxx3dv8eeo0dLwKUeig5eSfnYpfw668XWPNhKklJNxNIQ0NDWblypcVLqpujOqd1enjWznPHncD6z1I1SK/XExcXh1KpJCgoCJ1OR2FhISEhIWUy/N1ztaSYeQLHx8MBVwfTF4i8vLwK7y1UTJZlMnIyuHLpCsGNgvFw8ajW6oClpCUmoVcoaGxvX+55ez2AVkuAtw9egQE1+rVlWUar1ZKSkkJcXBzh4eFmn6Qo2VvnlI331nF0c6s0MAHITr3OlZjThLRsbaFZFasqmf5WiUR68yQn7+Tkqans3ZvDksXX6NrViZfm+hEWpiYuTsuPP/gzatQoNluh50tVxGmdmnFHBSdarRa9Xm8MGHJzcwFQq9U4OJjWNAlQq7meX/kTo8H1fPBxV5u8iOp0ugrvLVROr9dzhSu4ObmVaS5mK5ydnSC1+P/V5QQGeXq9cVxt/P07OjqiUqm4dOkSWq22Wl/j6dmPMen//sO2r38mIf4yIQ0bMOzhQTaxYlJSTkZ6jY6rSVUl098qkUhfNVnWcS52CTqdnjUfptK1qxOLl9zsCxUZ6UCbNkrU6vuYPXs2Q4cOtaktnn/zzAs8xWmdyt2RPx1z3mUqJAlfVzUp2VXXeyjU6cnV6HBxuCN/XEI53Hx8sE9IIKWoiIblbKtcLyrCXpJw8/Ep57Nrxu3UnVCp7Hjw0SE1OJua5+Lhada4jMSrtTyTsipLpr8dIpG+ahkZh9Fokjh5soCkpCJemutXKoFbprAwialTJzBw4I/s3bvXZtpL6GSZDYlVF+z0UCrEaZ0q1JlX29WrV7N69WrjikVNCHR3RFOoJ6ug6iTMIr15qyzCnUFSKAgOCCAuMZF4rRYfOzscJIkCWeZ6URHZej1hgYFIonCVWWJjY8s0jdPrdaTpIC8r03gtOSvH5L8AP278ElVo03LzTlxdXWulS65s58DxJD35Hs0gqG2N3Tc/Sc/xJD2ynVhtrYhGU9xMMS2t+Lk+LKz8nKsmTYrzNRITEy0zMTOYk28ClMlhE8qqM8HJ1KlTmTp1qrHlck3xcVGbFZzYiRehesc7uLhvypWkJOK0WuN1e0kiLDDQ+Lit0etlEmMzyM3S4OymJjDcw6pHh2NjY2nWrFm1PuergydMPl763fYKx547d65WAhTBOtTq4oMKXl7FwWhcnJbIyLLB3IULxcFuYKDtNGU1N48kW6e32YRYnV7mUFwaydkF+Lk60DnMC6UVnj/qTHBSW5zVSlRKBYW6ildGVEoFzmrb2dMsTZIktm7dyrBhw6w6j4KCArNWtgxHr809gq1UKq2W1+MdHIxXYCBZ16+j1WixV9vj5uNjsysmF44ns/ebWHIzbm5XOnuo6TUm3GqdiA0rJhs2bCAiIsLksbgTR/lz4+fGjwt1OtJz8/F0dkRVIo+g50OPEtbWtNpwTEwM48aNK7MiI9RtHh6dUKsDaNUqiYAAO77+KsMk5wQkVCp/3l71PWFhYfTq1cuq8y3JS2X+64QtJsTuOJXI4h+iScy8+dwc6O7AwiGRDIyybBBY74MTSZII8nDgUmpehWOCPBxs8kSJQWJiIp6e5u3f15aCggJOnTpVrc+pztHhqKgoqwUokkKBu591Xtir48LxZHasKft3kJuhYceaUwycEmW1AAUgIiKiTOl5X7UdF3f+1+RaWDlpPJ27dLH4iR3BOiRJSbPwBZw8NZUpT3qzZPE1Fi64xsMPexAapuZinIYff9Sxa9d2Nm/ebFPJsNHZ+WaPtbWE2B2nEnlqw7Ey7VmTMgt4asMxPhjX3qIBim39dKzE3dGeRt5wNaOAQp0enV4m+moWWQWFhPu70DKo5raRakNAQM0eZb0VhhWTsLCwcoOI3MJcUvNTKZKLQAa5SMZOZYePkw/OKucK71tQUEBcXFyN5hrdifR6mb3fxFY65s9NsYS18bXqFk9pwREtcfHyISfteoVjXL19CI5oacFZCdbm5zeAVlGrUauLKzCv+TCVadNuJkaHhdnb5DHiBDPyTQCcbSwhVqeXWfxDdDl940GmuOn24h+iuTcywGJbPCI4obiuhFJSEODmwC/R13hz11mulejaaollrR07dvDKK69w6tQplEol3bp14+2336ZJkyZotVpmzpzJd999R3p6OgEBAUyZMoU5c+YAZbd1XnjhBbZu3crly5cJCAjgkUceYcGCBahUqlqbv4GDgwPOzqbBRpYmi5T8FFCBwlA1RA0yMilFKTg4OuCmdivnboI58vLy2LPjEGdiz5hcLyzSkpqdhLdrACo7e0iBX7YV4hda/LO2hQ6/5lSL7TN+sijCVg/5+Q3A17cfLSMPM+mJulEhtpGDeQUT7/dxt4nqsIbO8f8kZHDx7M1VV7lIS1HmNezc/ZHsir+ni0nwxQ8So+/tapHnjXofnGTma40rJvsvpPLaz2fKjLHEslZubi4zZ86kVatW5ObmsmDBAoYPH86JEyd45513+P7779m0aRMNGzYkISGBhISECu/l6urKunXrCAoK4uTJk0yaNAlXV1eef/75Wpl7ZWRZJjG38mz6pNwkXO1dbXrrzJadOXOGQSP7mDX29S03/99WOvyGd+nOAzNf4vd1H5msoLh6+9Bn/GTCu4h6IPWVJCnx9OyKpyfYUv55eafPANrq9ejOxWLIYCyKjzP5LxSvQox1DefYsdRy711bJ9DKU93O8Y+th9YWet6o18FJZr7WmGui08us3ftvueMssaw1cuRIk48/+eQT/Pz8iI6OJj4+nvDwcHr27IkkSTRq1KjSe82bN8/4/6GhocyaNYtvvvnGKsFJXlEeRfrKE78K9YXkFeVVur0jVKxFixb8/N0f7P7SNLBOSo9n/R/LGN9nDgGexXU1ej/SwmTlxFaEd+lOk05duBJzmpyMdFw8PAmOaClWTASbcyunz7KWzjX5uGsV4y11As3QOf6fhAzmbD1pvF6YmkDqjyvxvn8WKu8Q4/Vlw1tZ7Hmj3gYnsixzNeNmRnL01SxSc7QVjwcSMws4FJdGtybeNT6fCxcuMH/+fA4cOMD169fR36irEh8fz4QJE7j33ntp3rw5AwcO5P7776d///4V3mvz5s2sWrWK8+fPk5OTQ1FREW5u1tk2qSowqe44oSwnJyf6D7ubpEMqk1M6BgGeDQnxLX4ybdookqbtbTO5V6FQiqRXweZVdvpMJ8uM++dfrt84iSNrNeiSrqIMCEKyVwPga2/HF60bl7utY+kTaMbO8W1l1kTLJGUWmOSdqLxDUAc0RQIC3B34z5A+IuektuVqdCbHh9PyKg5MSko2sx9PdQ0ZMoSQkBDWrl1LUFAQer2eqKgotFot7du3Jy4ujp9//plff/2V0aNH069fPzZv3lzmPgcOHOChhx5i8eLFDBgwAHd3dzZu3MjKlStrZd5VsVOY9ytm7jihfAqFRM8Hm7Jz7elKx+3bHEvjdraVFCsIdVF5p8/2pmWTmaXEJLsvqq3JmAxA27iJTdU4USokFg6J5KkNxyj9zGD4eOGQSIvWO7HNYg0WULriq5eTeYlMfq41f5w1NTWVmJgY5s2bR9++fYmIiCA93bSfiJubG2PGjGHt2rV88803fPfdd6SllS2TvG/fPho1asTcuXPp2LEj4eHhXLp0qcbnbC4nO6cqAw+VQoWTnWieeLscXar+Hc5J15AYm1H7kxGEemZ7SgZPnDKvPMKOlMyqB1nYwKhAPhjXngD3Un3o3B0sfowY6vHKSemKr5FBbni72Fe4tWNY1uoc5lXjc/H09MTb25uPPvqIwMBA4uPjefHFF42Pv/XWWwQGBtK2bVsUCgXffvstAQEBeHh4lLlX06ZNiY+PZ+PGjXTq1Int27ezdevWGp+zuSRJItA5kITsihN4A5wDRDJsDcjNqrpPVHXGCYJgnuLA5GK5R3HLs/bKdbp6unCfr0dtTqvaBkYFcm9kAF/8IPHY+uIcE0tu5ZRUb1dODJVhDZQKiUm9Gpc7traXtRQKBRs3buTo0aNERUUxY8YMli9fbnzcxcWF119/nY4dO9KpUycuXrzITz/9VG5juKFDhzJjxgyeeeYZ2rZty/79+5k/f36Nz7k63NRuhLiGlFlBUSlUhLiGiGPENcTJjJWT6owTBKFqOllmXuwVswMTg/mxV9DJ1f2s2qdUSLQO8QCgdYiHVQITqMcrJ+VVhu3exJsXB7Vg7d5/TVZQAixQ56Rfv35ER0ebXJNL/OJOmjSpws+VS/2Cv/HGG7zxxhsm16ZPn377k7wNbmo3XO1djad37BR2ONk5iRWTGnT1fIZZ42TxIxeEGmNus7/SrmoKbaq/jk4vc+DfVPadv86J48Un/04kpNOmrVw/euucPXuWMWPGmHz89ddfW6UvTOnKsFAcoPRs6kNSVj65Gp1VGx/daSRJwsnOyRig5BXl2XSAIssy+tw85KJCJDsVCidH9Hn5Nz92tp256/Uy//xx2ayx+dnmJX8LFZP1Mpq4TPTZWhSu9qjD3JHEc0S9dDs9cmylv86OU4m8uOUkGXnFQZYmKQWAuVtP8c7fOl4b0erOzzlp3rw5J06cACAnJ4fQ0FDuvfdeS0/DyN3RHjcHFbkaHUV6PXaK4iZ/UcG2XbK+LsrSZJGYm2hybNhOYUegc6DNbe3oMjMpTEpCLqz4HZGkUqEKCEBZg12yb1VibAaaPPOe6Jzd1LU8mztb/qnrZPxwAV3mzSBP6W6Px5AmOEaV0xhIuKPdTo8cW+ivs+NUIk9uOFbh4xl5hTy54RgfWjgp1qo5J99//z19+/YtU+7c0iRJwsXBDg8ne1wc7Gzm3fCdJEuTRUJ2Qpl6JkX6IhKyE8jSZFlpZmXpMjPRJiRUGpgAyIWFaBMS0GVaP/Pe3CRXtbMdgeEetTuZO1j+qeukbogxCUwAdJlaUjfEkH+q4h5Bwp2pq4dLtboRGwSpVVbvr6PTyyz6PrrqgRQXIdXpLZcjU+2wbc+ePSxfvpyjR4+SmJho0tPF4P3332f58uUkJibSsmVLVq1aVW5b602bNvHoo4/e8uSFuqEulbCXZZnCpKRqfU5hUhIKNzerzt3c1ZA2fUJEjZNbJOtlMn64UOmYjB/+xSHSW2zx1CNKSeL1Zg2YdLp6JRteDg+2aH+d8kru/5OQwaVzZTuZF6YmmPwXbvbWMSTLllQbJferHZzk5ubSpk0bHnvssTIl1wG++eYbpk+fzvvvv0+PHj1Ys2YNgwYNIjo6moYNGxrHZWVlsW/fPjZu3Fjp19NoNGg0N98VZmXZzjtswTy2XMK+oKDApOOxLi+PvIJqFtrT6XC6fh1liWZYSqWy3O7MtSUw3ANnD3W5FWJL8gwU9WRulSYus8yKSWm6TA2auEwcmnhYZlKCTRji58nTWXm8n5Bi1nhPOyUDfSy3HXwrJfcBUn80Ld752PqKx9Z0yf1qByeDBg1i0KBBFT7+5ptvMnHiRJ544gkAVq1axc6dO/nggw9YtmyZcdx///tfBgwYUOUT+LJly1i8eHF1pynYEFstYV9QUMCpU2XfNdyScgrdRUVFWSxAUSgkeo0JZ8eayr+fnWtPIykkmrSzzRL2tkxvZiKxueOEO8uCpsE4KRSsuHStyrHpRTqLntSpqOR+6Z46BuV1JQZ4pEsjxnZpaDK2tkru12g2jlar5ejRoyYFxAD69+/P/v37Ta5t2rSJyZMnV3nPOXPmMHPmTOPHWVlZhISEVPIZgq2x1RL2hhWTsLAwYxChy8sj7+rVat/LKSjIuHJSUFBAXFycyYqMJYS18cVOraBIo6903N5vzhHWRpSwry6Fq3n1YcwdJ9x5snSV/9sryRondUqX3G/TVubD0zJJWeWsFjeILHNpX4YDr7dtZ5HTqzX6anD9+nV0Oh3+/v4m1/39/UkqsY+fmZnJoUOH+O6776q8p1qtRq0WpwvqMkMJ+8pWRqxZwt7BwcGYlC07OWGfllZlMmxJklKJ2sfHYjknFbVrP73nCnGXrxg/TkqPN/mvUQr8sq3I2J3YwJKt2usidZg7Snf7Srd2lO5q1GHWP70lWJ5OlvnuWtmWIhXxvoUk2pqmVEgseiCy0tM6JdVm89vSauWtauknaVmWTa65u7tz7VrVS18lrV69mtWrV1v83ahw++pSCXtJklAFBKBNqHiupSm9vS0amFR373j9H8vKXHt9S/ljLdWqvS6SFBIeQ5qQuiGmwjEeQxqLZNh66kBGDqmF5r8+SWVa7FnHwKhAPhzXnv/7+jgaXdWncWqr+W1pNRqc+Pj4oFQqTVZJAJKTk8usplTX1KlTmTp1KllZWbjbQF2Jmta7d2/atm3LqlWrbunzd+/eTZ8+fUhPTy+3545BaGgo06dPt3rFWFumdHfHHihMTEIuqnwFRVIqsfP1tczEqHjvOPliFru/PGMytrBIS2p2Et6uAajsTLcaej/SwmTlxNKt2usqxygfvMdFlFPnRI3HkMaizkk9Vt1tml2pmfTyso3qsPdGBmCnVKAx481/bTS/LU+NBif29vZ06NCBXbt2MXz4cOP1Xbt2MXTo0Jr8UjVKlmXTImwqkOL/gpxr4OIPjbqDwvpLcNWxbt06pk+fTkZGhsn1w4cPW7yujCzLXM2pPI/DVo4SGyjd3VG4uVGUkkJRcnKF41RBQVaZc+m943O6JC74lt3vbhwYVeaas4c9/Yf1EDknt8gxygeHSG9RIbaekooKaBegwDHjHFy9WSosLDuPVtnmVWkGiI49j865CcoSKyiOGedoF6BAKrLM6oTBe7+fJ1dbdWDi7WxfK81vy1Pt4CQnJ4fz588bP46Li+PEiRN4eXnRsGFDZs6cyX/+8x86duxIt27d+Oijj4iPj+fJJ5+s0YnXlMx8rUn5ere4n1EfWIyqZF0OtyAY+DpEPmClWdYcXwu+yzdIyU9BJ1f+i2+to8SVkSQJRR3Jd6pO1dfwTv4iMLlNkkISx4XrKYeceI5NcYE9U2DPzettgV3Vvdkh0w8jgGNTXIjJiQe63840zabTy3y2L86ssUPbBlmslUu1g5MjR47Qp08f48eGkzTjx49n3bp1jBkzhtTUVJYsWUJiYiJRUVH89NNPNGrU6LYmWhs5J5n5WpPGf25xP9Pot6egdH/JrETY9CiM/rxWA5SioiKeeeYZNmzYgFKp5KmnnuLll19GkiQ2bNjAqlWrOHv2LM7Oztxzzz2sWrUKP7+yR0J3797NY489BtzM/1m4cCGLFi0qs62TkZHB888/z3//+18yMzNp2rQpr732Gvfffz+XLl3imWee4c8//0Sr1RIaGsry5csZPHhwma8pIeOkAoVOA9qbv7wyMnl513Ewo/umXptbpiudQqfBSVV8f0szpyCbLRRgA/PrnACcP5JMt+FNRYAiCLegwKUh7dfk8OWXXxLRooXJY19cvc7nV81Pip3TOJB7SmztxJw5wyOPPMIngxtW8lk161BcGhn55h0AuDcyoJZnc1O1g5PevXuX6YJb2tNPP83TTz99y5MqT03nnMiyzNWMEktneh1BBxYDcjlpSjIgwY4XocV9tbbFs379eiZOnMjBgwc5cuQIkydPplGjRkyaNAmtVsvLL79M8+bNSU5OZsaMGUyYMIGffvqpzH26d+/OqlWrWLBgAWfPngXAxaVsmWS9Xs+gQYPIzs5mw4YNNGnShOjoaJTK4u9v6tSpaLVa9uzZg7OzM9HR0eXeB0DSaYn0VULOJcgpcR0INfcHkHmlzCVHINJXSb7O8rUj9Ll5ZpWw1+fmoXSx7oqPuXVOAHLSNSTGZhDc3NMCM6sevV7HlZjT5GSk4+LhSXBESxR1bEtVuLPJdg4cT9KT79EMgtqaPDY2UObV/FNkFJn3Jlod3ARK1DrJT9JzPEmPbGe5Ao7mJrh6OKostqUDVmj8ZytyNTrjVg6Ac9Ih7CstsS5D1hW4tB/CypbirwkhISG89dZbSJJE8+bNOXnyJG+99RaTJk3i8ccfN45r3Lgx77zzDp07dyYnJ6dMwGBvb4+7uzuSJBEQUHGk++uvv3Lo0CFiYmKMJ0AaN25sfDw+Pp6RI0fSqlWrMo+VJivtiU7RERbWGMcShceyC3NIzqs4Z8NAKSlo5NaoTAZ7fkEBcXH/Eupu+doRVSXDVndcbZPNL7Fgdi8eS4o9uJ/f131ETtrN/jQuXj7cM2Ey4V0ss8RtkJdXvKJ67FjVRyzz8/O5ePEioaGhODo6Vjo2Jqbikz5C3aeUJFa2CGHiqYuVjpOAQBvorQPmJ7g+1iPUYls6UIeCk5re1inSmz6Tq/KrfgEFipNka0nXrl1Ntge6devGypUr0el0/PPPPyxatIgTJ06QlpaG/sb84+PjiYwsWyzHHCdOnKBBgwYVHk2dNm0aTz31FL/88gv9+vVj5MiRtG7dutyxMhJ5haBXqsH+Zr0ShSRTkF/1L7Svkw+SfdnVB32hTF5h+etZtU2yU9XouNqk18v87+uzZo+3tc7EsQf38/2bS8tcz0m7zvdvLuWBmS9ZNEA5c6b45NOkSZNq5f6urrZxSkOoeff5evBJVCjTouPJ1Vf8jsHSvXUq0jnMi0B3B5IyCyrcPPd0UvHMPZYtMVBngpOa3taxU5g2ZC50NLOct8vtHYm+FQUFBfTv35/+/fuzYcMGfH19iY+PZ8CAAWi1t77dUdW7vCeeeIIBAwawfft2fvnlF5YtW8bKlSt59tlnzf4a5hRgUyqU+DpaPlG3KgpnJySVqtKtHUmlQuFs/X41ibEZFOSYt4Jja52J9Xodv6/7qNIxf6z/iCadulhsi8fQzLRFixY4OVX+92s4hv3u6EU0cQw2Xle4qHC9qwEOTU23z0Sxu+rT6XTs2bObCxf24eWl5K67euPt3RVJst0tv7xKApOnQny5z9fDcpOphFIhsXBIJE9tOIZEmYxLJGDZiFYWXTWBOhSc1DRntRKVUmHc2skN6IzWORBVblK5yZcyEpJbUPGx4lpy4MCBMh+Hh4dz5swZrl+/zmuvvWYs3X/kyJFK72Vvb1/lKlPr1q25fPky586dq3D1JCQkhCeffJInn3ySOXPmsHbt2moFJ+YUYAtyts5x3IqSeG8+Dio/T4qSKl4ts/PzRCrMN7lmjSTe6mzT2Fpn4isxp022csqTnXqdKzGnCWlZ/spdTfPx8TH2B6tKwfl0AJo4BtMqoLnpg8fAO7KhqH9yG7Zs2cL06U+TkHDz32FAgB3PPNuESU+8jZ/fACvOriydLDMv9kqF//olYFtyBnObBNnEygkUF2L7YFx7Fn0fbVLKPtDdgYVDIhkYFWjxOdXb4ESSJII8HG6e1lEoudp1IY1+e6o4ECnxq2XcUhj4Wq3WO0lISGDmzJlMmTKFY8eO8e6777Jy5UoaNmyIvb097777Lk8++SSnTp3i5ZdfrvReoaGh5OTk8Ntvv9GmTRucnJzKvAO8++67ueuuuxg5ciRvvvkmTZs25cyZM0iSxMCBA5k+fTqDBg2iWbNmpKen8/vvv5sU/jKXm9qNBjQgMTcRnf5mwKRSqAhwDsBN7VbJZ9eeipJ4S1ICysoW6vKvgGlsYpUkXnO3aVQOCjoMDq3dyVRTdlpqjY6zJFkvk72n8toWGT/8i0Okt6iDcgu2bNnCqFGj6NrVkeeeDyIszJ64OC1ff5XB/HlnKSwcz9NPrbepAOVARg6JmopXMWXgqqbQoo3/zCWXSlzTV7L6U9sUVQ+puww/2Ly8PHJzc8v8sdMX4mkvIxdqkAs1ZAb34WKvNyl0Mt26KXQKIPv+NeQ26mv83IKCmi+S8+ijj5Kfn0/nzp2ZOnUqzz77LJMnT8bX15d169bx7bffEhkZyWuvvcaKFSsqvVf37t158sknGTNmDL6+vrzxxhvljvvuu+/o1KkTDz/8MJGRkTz//PPGFRedTsfUqVOJiIhg4MCBNG/enPfff7/a31eWJouk3CSTwEQhKfB39rdaYAI3k3jzXRqBT/Ny/+gcg9Fk2lX4R+cYXOZz8l0aEZ2iQ1ZaLonXcJS4KpE9g2xq1QQgPyuzRsdZkiYuE30V22m6TA2aONubu63T6XTMmjWL7t09WLzEn8hIBxwdFURGOrB4iT9duzqxZk0qMWeWIFdRR8mSdl7PMmucNRr/VWTHqUSe3HCMa6U6al/L1vLkhmPsOFXZYZHaUWdWTm4lIdYQQFwqp519RVLdW5Pa53NcU0+i0qRRqPYi27sVoIRyMu0Nx25v1+7du43//8EHH5R5/OGHH+bhhx82uVbySHd5R7w/+OCDMve6ePGiycdeXl58+umn5c7p3XffNWfqlcrSZJW7paOX9VzOvkx+UT4BzpY7O19SRUm8xsdlmcLkBGRdxS/mhcnpKJr5mmxLWSOJV6GQ6PlgODvXVn6U+MLRFLqPCLepAMXRzbwcMnPHWZI+27zVMXPHCTft3buXixcvMnNW2YBaoZB4+GEPpk27ypEjcbRudRhPz65WmulN1Wn+52dvGy+/Or3Mi1tOVjrmxS0nuTcyQJzWKc+tJMQaesw4ODigUFS8SJSrKSIxswC5SEtR5jXsPIIo8AnFsDbS0N0BZ3XZH5VSqcTBwXLn0esaWZZJrPR4NqTmp+Jo54i72gZfeOpQnRMAR5eqTw3ZYo0TVy/zOpyaO86SFK7mrY6ZO064KTGx+LkjLKz8n13ojetpaTo0GjNPW9Yyc5v/eauUNnGMGODAhVQy8ip/nsvIK+TAhVR6hFsud6rOBCe3QqVSmVWu3dkZ1I6OXE7JoAiQ7OyRVGpUSgVBHg64O4onlluRV5RX6Skdg6s5V3Gzt36V1dLqWp0Tc5Niba3GSXBES1y8fCpNinX19iE4oqUFZ2UedZg7iiqCQqW7GnWY7QXfti4wsDgJMy5OS2Rk2TeBF+OKV6O8vJSo1Waetqxl5m7VjPT3tJlk2L/+rTwZveQ4SwYnd3TOiblkWUYpKfB2Lt6z93dzoLGPCy0CXEVgchvMCUygeIsnJT+llmdTfXWpzgmYnxRrazVOFAol90yYXOmYPuMn22SlWEkh4XpXg0rHeAxpLJJhb0GvXr0IDQ3lm435lM7L1Otlvv46g4BAOzp2DMPDo5N1JlnKv3nm5SIO8LGdYPVCSq6ZI8VRYosq2fhPLix+R5maq8HRyRFJqvc/HrOVTD42KCoqQq8tJ9tbBrlIRrKTjL/vKYUpOMtlt0ZqI/HYXLKu6uDKVuqcgHn9dVw81TZV48QgvEt3Hpj5UpkKsa7ePvQZb/kKsdVhqGNSegVF6a7GY0hjcYz4FimVSlauXMmoUaNYuEDDww97Ehqm4mKclq+/zuDAgTwWLPQnosUCm6h3opNlvrha9YmyICtUhq2ok/L+C9eJP32GlmbEHf08nOFqfpnrtdVJuc68+lqi8Z9BkU7mUmoejbwRKydmupXk49JirlRc2rumEo/NJcsyRVevVjlOFRBgM9tR5vTX6THKtpJhSwrv0p0mnbrU2d46PhOi8PFsgj5bi8LVHnWYu1gxuU0jRoxg8+bNTJ/+NNOm3ey9FRBgx5IlTZg0+R2bOUZ8ICOHJDO2dR4J9LL4lk5FnZS7A9vNXUj9ufzLtdVJuc4EJ7Xe+K8cVzMKcHNQ2cyLjy2rKPk4tzCXa3mmRczkQhltihZ7X3sk1c2frZ+THy6qsu8orJF4rM/NRTYnELZw0FSVJu38GDCpJf/76hwFuWVzYf78NhZJUTzOFikUSosVWqtpkkLCoYmHtadxR1IoTP/9y7JMkS6H2NhXkVDaRIBibr5JpplNAWtSeZ2U/7mcyZytlZ/SMZg7uAXdm5S/AlhbnZTrTHBS00o3/itPoU5PrkaHi0O9/TGZrcLk40JQFJmmNukp/rlLKgmF/c3HXJxdcFZZ/9QLFAcn5o5TVtCp2RouHE/mz2/PlxuYAORmaNix5hQDp0TZXIAiOhILpRmKsN17b2dmzS4iLExlLMK2ZHHxmx6NZiqtolZbPUAx92jwd9fSWdjUsn11yuukHJd8hdNyBdUnS8nybAlB5VeJra1OyvX2Vbd047/bHSeUz9ykWKWkxMnOsrkb5eXJGOi0WnQl/u71QKEso5IkkyxypVaLtlQgY608mQvHkyvd0inpz02xhLXxtZktHlvqSCzYBkMRtvvvv4/Zz6VSWFi8/2AowrZwwTXWrEmle3dnzsW+jK9vP6vmnnT1cMFbpazyKHFqoc4mqsOa240YYPEP0aLOiaWUbvx3u+MsTpZBmwO6QlCqwN4FbHD7yU5h3q+Yl6OXxbfPaiJPhmvXiv+Uw5J5Mnq9zN5vYs0eb0v1TmytI7FgGwxF2NasmUth4TKTx0oWYTt5Mp+2bRPJyLBuITalJDHS34uPLld98tAWqsMauhEnZlb9Zioxs4BDcWl0a2K5WkP1Njgp3fivPCqlAme1DS4r52dA5mXQl1i6V6jAvQE4etT4l9u2bRuzZ88mLi6OZ599llWrVpUZI0kSW7duNXZzNahOV+J169Yxffp0MjIyavYbqEBVRfq0Fy/CjbwTjSxzubCQBioVakMQpVRiHxpa7r0tnSeTGJtR6Smd8thCvRNb7Egs2AZDEbYmTVy5WM77h5JF2ACbKMQ2wMfNrODEFqrDGroRP7nhmFnjk7MtuyJso8sCZa1evZrIyEg6daqZ8+yGxn/l0cs6otOPczprN0euHTHpCWN1+RmQHmcamEDxx+lxxY/XsClTpjBq1CgSEhIqbDiYmJjIoEGDylw3dCWuTG11JZ4wYUKZYKkkQ56Mq6srzs7Oxj/Lly+nR48euHh746BQ4KBQGAMStSQZr7l4e5t8Xsk/lk7gvZVAwxbqnVSnI7FQvxiKsF24kF3u4yWLsAE2UYitk7tzlS+qihvjbMHAqEBm9Cu/I31p1dkGqgl1JjiZOnUq0dHRHD58uMbu6e5oTyNvJ1TKmz+GI1lHmH5oHK8em8biA3N5fOfjDPhuAL9e+rXGvu4tk+XiFZPKZF4uHldDcnJySE5OZsCAAQQFBeHqWv4+aUBAAGp1+S92bmo3QlxDymzx2El2hLiGWLX5X2V0mZU3a9NlZpbpZ2Qt1Q00bKXeSU5Geo2OE+4chiJs7733X1Qqf0oWAStZhK1VK0fU6kCbKMR2ODOXqrIU9TfG2Ypn7mlKQCXPHxIQ6O5A5zAvy02KOhSc1BZ3R3taBLjS2MeFc7kHWZ2wmjSN6bJccl4yM3fPrLUARa/X8/rrr9O0aVPUajUNGzbk1VdfNRmj0+nIzbzOt9t/xaPFXWRrdOQWyuw/cQYpuD3/t+gtcgtlcjVaHn9sPA8++KBZNWHS09N59NFH8fT0xMnJiUGDBhEbW5y7sHv3bmMwcs899yBJkkmDwpIkSWLbtm1AcXNBSZLYsmULffr0wcnJiV6de5F6JpVQ91D8nIrf4ez5fg9R4VE4OTkxfPhwUlOrLmBU2ubNm2nVqhWOjo54e3vTr18/cnNzWbRoEevXr+e///0vkiSZzP2FF16gWbNmODk50bhxY+bPn0/hjR4669atY/Hixfz99984tmiBU6tWfHHj+8rJyWH6kiU0uvtu/Lt2ZeCjj3L8wEHjXP7++2/69OmDq6srbm5udOjQgSNHjlT7e7oVgeEeOLmbX5On52jbqHfi4mFezou544Q7h6EI248/bufVV/REny4gL08m+nQBCxdc48CBPKZM8UaplGgWPt8mCrGZm0tiCzknBkqFxKIHWiJRtgas4eOFQyItmgwL9TjnpCRJknC0l/gw+u1yH5eRkZB4/dDr9Anpg7KG977nzJnD2rVreeutt+jZsyeJiYmcOXPGZExBQQEx5y/h26Qt2bl5bPszhoiICL777QgeHh78uu8o/0kpjtl/++N/jB07loKCApydK18+nDBhArGxsXz//fe4ubnxwgsvMHjwYKKjo+nevTtnz56lefPmfPfdd3Tv3h0vL/Oj57lz57JixQrCw8OZO3cuY8eO5e+YvwE4deoUTz31FEuXLmXEiBHs2LGDhQsXVuvnlpiYyMMPP8wbb7zB8OHDyc7OZu/evciyzOzZs4mJiSErK4vPPvsMwDh3V1dX1q1bR1BQECdPnmTSpEm4urry/PPPM2bMGE6dOsWO7dv54UZHZ3cXF2RZZvr06QR6eLDl/fdxd3Hhk2+/pf/993EuNhYvLy8eeeQR2rVrxwcffIBSqeTEiROoVJYpba9QSLS8K4jDP1y0yNerjoqqUwIEe+gJ9bMjLyujws93cvcg2KMIrp4wuV5blSkF22EowjZr1izTImyBdixY6E+/fk1pFj7f6seIDczNJTG3zL2lDIwK5INx7Vn8Q7RJgmyAuwMLh0QyMKryrfnaIIKTG45eO0pyfsUJVTIySXlJHEs+RqeAmls+zM7O5u233+a9995j/PjxADRp0oSePXuajHNwcCCiaSPITKB1ZDMunz3GiLtacubkMcaOHcvHa9fSwDGfvLx84uPjefDBB6vMezAEJfv27aN79+LTEF9++SUhISFs27aNBx98ED+/4lUOLy8vAgICqvW9zZ49m/vuuw+A5+Y+R5d2XdhzYg+hjULZuHEjPXr34OkZT+OmdqNZs2bs37+fHTt2mH3/xMREioqKGDFiBI0aNQKgVatWxscdHR3RaDRl5j1v3jzj/4eGhjJr1iy++eYbnn/+eRwdHXFxccFOpSLA52bRoV/++ovz58+zY/du3G/8XJfNns2Pe/eyefNmJk+eTHx8PM899xwtbhQ5Cg8Pr9bP63Z5+Jl/FNuSR4krqk4JxUu3I72Bqg4BrP2jzKXaqkwp2JYRI0YwdOhQ9u7dy9WrV3B1zaR9+0CcnIq3cmxhxcSgq4cL7koFmVXU0PoyMY3poQE20/wPigOUeyMDOBSXRnJ2AX6uxVs5ll4xMRDBCcVl7P9OTDBrbEpezTaoi4mJQaPR0Ldv30rHKZVKnN19oOAa93TvyP6DR3nxqf9w4MhxHp34JPv3/M7x43+TkZ2Hv78/7du3N+tr29nZ0aVLF+M1b29vmjdvTkxMxaXkzdW6dXGlzyxNFkUuxcuYaSlphDYKJS4ujn4P9CMhO4EQivNOunXrVq3gpE2bNvTt25dWrVoxYMAA+vfvz6hRo/D0rHwLYPPmzaxatYrz58+Tk5NDUVERbm6l8l4UCiSVCvnGds+JmBjy8/NpetddN8dIEvkFBVy4cAGAmTNn8sQTT/DFF1/Qr18/HnzwQZo0aWL293O7qpN3YsmjxOVVpzTQy3q2vrakypWT4S8sQCGZrrrUVmVKwfYolUp69+5t7WmYRWdGGtpVTaFN1DopTamQLHpcuDL1Pjgx9NdxVZm3XeHrVE4V1Nvg6Oho/mBJAvcG9O7WgU82buPv0+dQKBQ0btyYnl068L8DR0nPl7n77rvNul1FyZyyLNfI6RmVSoUsyyTmJhrvp5f1Zb52Um4SrvbV/0eqVCrZtWsX+/fv55dffuHdd99l7ty5HDx4kLCwsHI/58CBAzz00EMsXryYAQMG4O7uzsaNG1m5cmXZ+QcEoE0oDlplvR4fHx9++uQT1DeOHasCA1G6uhqPJC9atIixY8eyfft2fv75ZxYuXMjGjRsZPnx4tb+3W2FO47+SLHWUuLzqlAZXTv/DxeQioJIquwVFXMmwK1PWvrYqUwrCrTqQkUOOmYU7bSnvxBbV64TYkv11Wni0xsu+4u6hEhIBTgG096t6RaI6wsPDcXR05LfffjNeKygoIDc3t/w/ehUdet9Hdk4eKz76ku6d2iNJEp07deT3A//wx979dO3atcLPL1m9NDIykqKiIg4evJnUmZqayrlz54iIiLjt702n05GWlYa2QGvsTiwXysiFMo0bN+afI/+g1+rRFGhIy0rjzz//rPbXkCSJHj16sHjxYo4fP469vT1bt24FwN7evkxS8L59+2jUqBFz586lY8eOhIeHlynCZvg8pbs79iEhSCoVrSMiSE1NxU6ppGmTJkT06EHzdu1o2rQpPiW2f5o1a8aMGTP45ZdfGDFihDHfxRIMjf/MZQtHicVpHeFOUp2AwxZqndiyOhOc1HSdEzDtr6OQlPyn6dQKRha/63+h8ws1ngzr4ODACy+8wPPPP8/nn39OdHQ0X3/9Na+99hoxMTHExMTQu3dvFi9ebPz46vVMmjVrxsZtP9O8VXGwFBzemuN//0NsbCzBwcHExMTw/vvv07JlS+PnxcTEcOrUKWOAEh4eztChQ5k0aRJ//vknf//9N+PGjSM4OJihQ4fe9vem1WqJi41Dc1WDNqm4JkFhaiHaFC1jxoxh3//2sfa1tZz76xyvv/o6O3fuNPn8Q4cO0aJFC65cuVLe7Tl48CBLly7lyJEjxMfHs2XLFlJSUoyBVWhoKP/88w9nz57l+vXrFBYW0rRpU+Lj49m4cSMXLlzgnXfeMQYzBqGhxdtOJ06cIL2wEBo14t4RI2jVqhX/ee45dsfFkZCezv79+5k3bx5HjhwhPz+fZ555ht27d3Pp0iX27dvH4cOHayTIq46wNr7YO1X9pGcrR4nFaR3hTmJuwOGtUtLVw3Z6ctmiOhOc1Eadk9J9czr59GJqyNQyKyh+jn682ftN+jXqV2Nfu6T58+cza9YsFixYQNu2bXnppZcAiIiIICIiguTkZOzs7IwfR0RE0L9/f3Q6HQ8++CBhYWF07tyZiIgIfHx8GDx4MBEREbi5uXHp0iXj5xi2OkquJnz22Wd06NCB+++/n27duiHLMj/99FONnDKxt7cnLDwMdZAa+4DiY64qbxXqQDUd7unAouWL2LR5E+PGjeOfk/8wZ84ck8/Py8vj7NmzxmO+pbm5ubFnzx4GDx5Ms2bNmDdvHitXrjQWg5s0aRLNmzenY8eO+Pr6sm/fPoYOHcqMGTN45plnaNu2Lfv372f+/Pkm9x05ciQDBw6kT58++Pr6snHjRhROTqxatYoevXoxceJEmjVrxkMPPcTFixfx9/dHqVSSmprKo48+SrNmzRg9ejSDBg1i8eLFt/1zrI7E2Ay0eVW/e4vsEWQTR4mDI1ri4lXxiqVBXnaWBWYjCLenq4cLgeqqnztfa9bAppJhbVG9Xlcqr29OR7eOdAl9gLO5Z8nQpOKh9mZQk+64O9XeErhCoWDu3LnMnTuX3NxcYmKKjwkbjgGX1/vl7VWrePuNV0r01nHmn3/+MRkzZcoUpkyZUunX9vT05PPPP6/wcQ8PD7MKjZUcExoaavxYlmWu667jYe/BqZQSTenUMHL8SEaOH4lKoSLcMxxJkkwClN69e1f6tSMiIipNoPX19eWXX34pc/2NN97gjTfeMLk2ffr0m1NTq9m8ebPJ47m5uTg7O7NixQo+uHHEuLSvv/66wrlYirl5JO7+1ch1qkUKhZIW3Xtx5MetlY773+cfE965myhhL9g0pSTxSngwT5y6SEXPXE+H+DLET6wEVqVeByfOaiVKhYROb/prpJCURHq2A4r767g5ml/cyiIs3FvndhjK1ydkV3waKsA5wOJN/+5U5uaR2EK+CRT31vnnt51VjjOUsC+dFCsItuY+Xw8+jgplXuwVEjU3n6O9VUpea9ZABCZmqtfBSVZBYZnApLQgDwfbeuE09NYpzdBbhzCbC1Dc1G6EEEJibqJJA0CVQkWAc4DNlq+vi8w5sWMr+SYACdEn0ebnmTVWJMUKdcV9vh4M9HHnQEYOydoi/Ozt6OrhIrZyqqHO5JzUtJIndSqiVEi4OVimwqdZrNBbp6a4qd1o5tmMUPdQGrg2INQ9lHDPcJsPTGRZRpeTiz4nx9pTMYs5J3ZspXQ9wOXTJ80eK5JihbpEKUl09XDBz96OZG0RBzJy0Nngc7OtqrcrJyVP6lREp5fJ1ehwcbDcj0lCxkkFCp0GtKVeQArzynYjLk1fCHmpoCpbLVSh0+CkKv4a1iBJEs4q2+jGWRVZlilKSUGXmoqs0xmTp7WXLuEQHIzS3d3KM6xYk3Z+DJwSxd5vYk1WUFw81fQcHU6Tdtbv3mpg7m+iysGR4IiWtToXQahJ21MyymztBKpVvBIezH2+HtabWB1Rb4OT0id1bndcTZF0WiJ9lZBzCW71zXpm+fkdjkCkr5J8nfaW51cf6DIzKbx6Fbm8xolFRWgTErAHmw9Qwtr4khibQW6WBme34q0cW1kxMQiJbMXBLd9UOa7j/UNFMqxQZ2xPyWDiqYtlridqCpl46iKfRIWKAKUK9TY4Ke+kzu2Mqymy0p7oFB1hYY1xLN0bpzCvwsDDhHtIuSsn+QUFxMX9S2g1utfWN7rMTGNV2MoUJiWhcHOzrXykUhQKySLl6auSl1ecU3Ls2LEyj+n1OlIKCtHcyDsp1OlIz83H09kRlbI4GLGzt8c+rHmZz6+JFguCUNN0sszsM5U/hzx3NoGBPu4iB6US9TY4cVYrUSkVlW7tqJQKnNWWfbcmI5FXCHqlGuxLBRgqR8hOqnxrR6ECJ+/iUvel6Atl8gqLv4ZQlizLFCYlmTe2sBB9bh5Kl7qxTWVNhg7bkyZNuuV7rNjeucLHXF1tqz+JUL/tT88hvaicVdcS0gp17E/PoZeX+N2tSL0NTiRJIsjDgUupFZ8UsLmTOjd665R7WsfAvUG5gYlQNX1uHjptIVq5bMCquZHIppFluLHVV5Sbg2GXxMHBAaVSbDuUZ9iwYQC0aNECJ6fyOyfHn/ybQ99/x6UrV/jq4AnGdmlLaINgOg0ZScNWbSq8t6urq8W7PwtCZfZlZJs9TgQnFaszwcnq1atZvXp1mV4pt8Pd0Z5G3nA1o8BkBcVOKdHA2wl3W6tvAjeOCYfVmTondYlcVByYXNBWnJNzuWS12hLbPyWL5gmmfHx8eOKJJyod0759ex74z6Ps+G4zX41+iEdmvcjAkaNEnolQ50hmrkybO66+qjPBydSpU5k6dSpZWVm412AiorujPW4OKnI1OnJyJS6nQqi3M862GJgYOHqAgztoc0pUiHWpcMVk0aJFbNu2jX379ll2nnWMZKfCXlLQxL7s370eKJRlVJJUfP7ezg77Ro2MjzuUzg8Sqk2hUBLQpHgVJKBJuAhMhDpJYeYZtG4e4s1MZepMcFKbJEnCxcEOSVf845B1OnIPHqIoJQU7X1+cOnZAstCSvf7GloEhibByCmTZHk2+BrU6t8ItKK1Wi16vN+lIfCsKCwtrpOdOTdFqtdiXE0jcKoWzE0p7FQ4V9PIpyT44GKVYKREEoYTtKRmsvJRc5ThPOyU9PMWWTmXqbRG2iigPH+bq/UOIHz+eq7NnEz9+POf79iOrnB4tNUWWZd544w0aN26Mn58fY8eO5dNPPzXpJDx27FiaNWuGt7c3kZGRLFiwgJiYGM6cOUNcXBxffvklnTt3xsfHh4CAALp3787vv//OG2+8wbJlyzh58iQ+Pj506tSJr776CoDMzEwmT56Mn58fbm5u3HPPPfz999/GeS1atIi2bdvy6aef0rhxY9RqNbIsI0kSH3/8McOHD8fJyYnw8HC+//77Sr9HrVbL888/T3BwMM7OznTp0oXdu3eX+VolrVq1itDQUOPHEyZMYNiwYSxbtoygoCCaNWsGwMmTJ7nnnntwdHTE29ubyZMnk1OiaJrh8xYvXmz8XqdMmYK2xPaNLMssX76cyAED8OrYkS4jR7K1nL9zSanEPiTEpo8RC4JgeTpZZu65Kopk3vBGc9H4rypi5aSEvN9/R/32O5TOaim6do0r/zcd3l6FW//+Nf51582bx5YtW/jggw8IDQ3ll19+4bnnnqNNmzb06tWLwsJCIiMjmTVrFt7e3hw8eJBnn32WNm3acN999xEbG8vzzz/PY489xsSJE9FqtRw9epTw8HC6detGRkYGu3bt4scff0ShUODv748sy9x33314eXnx008/4e7uzpo1a+jbty/nzp3Dy8sLgPPnz7Np0ya+++47k4TPxYsX88Ybb7B8+XLeffddHnnkES5dumT8vNIee+wxLl68yMaNGwkKCmLr1q0MHDiQkydPViuh8bfffsPNzY1du3YhyzJ5eXkMHDiQrl27cvjwYZKTk3niiSd45plnWLduncnnOTg48Mcff3Dx4kUee+wxfHx8ePXVV03/DtasoXFAALt/+onH58zBx9OTXp06ISmVKL29sfP1ta0k6TuAXq/jSsxpcjLSSbpq3mkpQbA1BzJySNJW3REcwEslXnqrIn5CN8g6HenLV1TwoAySxLWly3Dt27dGt3hyc3N58803+f333+nWrRsAzZs35++//+bzzz9n4MCBACxbtsz4OS1btuTo0aN8//33jBw5ktzcXLKyshg+fDitWrUCoEOHDsbxnp6e2Nvb07hxY+O133//nZMnT5KcnIxaXdwEbsWKFWzbto3NmzczefJkoHjF44svvsDX19dk3hMmTODhhx8GYOnSpbz77rscOnTION+SLly4wNdff83ly5cJCgoCYPbs2ezYsYPPPvuMpUuXmv3zcnZ25uOPPzZu56xdu5b8/Hw+//xzY0Lqe++9x5AhQ3j99dfx9/cHwN7enk8//RQnJydatmzJkiVLeO6553j55ZfJz88v83fQtHVrDpw5y2fbt9P3wdEonJ1EUFILYg/u5/d1H5GTdh2Ay+mZQPHpnfbt21tzaoJQLclmBibVHVtfieDkhrwjR9ElJ1ecPy3LFCUlkXfkKM5dKq65UF3R0dEUFBRw7733mlzXarW0a9fO+PGHH37Ixx9/zKVLl8jPz0er1Rq3Qdzd3Rn38BgGDBjAvffeS79+/Rg9ejSBgYEVft2jR4+Sk5ODt7e3yfX8/HwuXLhg/LhRo0ZlAhOA1q1vdod1dnbG1dWV5OTy91qPHTuGLMvGbRgDjUZT5utXpVWrViZ5JjExMbRp08bkpEyPHj3Q6/WcPXvWGJy0adPG5Bhrt27dyMnJISEhgeTk5Er/DkQtk9oRe3A/379ZfmD6vy8/pWWL5oR36W7hWQlC5SoqKpielUthqW0dWatBl3QVZUAQkv3NTuAbUhJo1DS4zL1FYcGbRHByQ1FKSo2OM5chAXb79u0EB5v+shpWNDZt2sSMGTNYuXIl3bp1w9XVleXLl3Pwr/2QVhxIfLjseWZOGMqO3Qf55usvmTdvHrt27aJr164Vft3AwECTvA8DDw8P4/9XdDy2dGKsJEnG76W8r6VUKjl69GiZWiAuLi4AKBQK5FJNsQrLSUwtPR9DDkx5zFnpKDnvyv4OhJql1+v4fd1HlY75Y/1HNOnURZzaEWxKTRQV3HLjT0VEYUERnBjZlbM6cDvjzBUZGYlarSY+Pp6777673DF79+6le/fuPP3008ZrF2LPgk4L+pvLg+2iWtAuqgVznhlPt+FT+Oqrr+jatSv29vZl6sO0b9+epKQk7OzsTJJOa0O7du3Q6XQkJyfTq1evcsf4+vqSlJRkEmycOHGiyntHRkayfv16cnNzjYHLvn37UCgUJis1f//9N/n5+Tg6OgJw4MABXFxcaNCgAZ6enlX+HQg160rMaeNWTkWyU69zJeY0IS1bVzpOECypsqKCe9OzWXL+qvHjovg4spbOxe2lV7FrGGYy9skGvowMLJujJwoLFhPByQ1OHTug9POjqKKtHUnCzt8fp44dynv0lrm6ujJ79mxmzJiBXq+nZ8+eZGVlsX//flxcXBg/fjxNmzbl888/Z+fOnYSFhfHF559z+MhRwkKK8zeuXLnCxk+3MXLg3QQF+HL2wiXOxZ7j0fETAAgNDSUuLo4TJ07QoEEDXF1d6devH926dWPYsGG8/vrrNG/enKtXr/LTTz8xbNgwOnbsWGPfY7NmzXjkkUd49NFHWblyJe3ateP69ev8/vvvtGrVisGDB9O7d29SUlJ44403GDVqFDt27ODnn3/Gzc2t0ns/8sgjLFy4kPHjx7No0SJSUlJ49tln+c9//mPc0oHiLZqJEycyb948Ll26xMKFC3nmmWdQKBRm/R0INSsnI71GxwmCpVRWVLA9cNDnAr+nmVaJtWsYhqpZhMk1OdiH9s0a1NY06zxxlPgGSanE87nZFTxYHK74vzSnVuqdvPzyyyxYsIBly5YRERHBgAED+OGHHwgLK460n3zySYYPH86YMWPo0qULSYlXmDRuFHoZCgplHBwciDl/kRGTnqNZr+FMeu4VJv9nNE+MHwvAyJEjGThwIH369MHX15evv/4aSZL46aefuOuuu3j88cdp1qwZDz30EBcvXjR5Ua8pn332GY8++iizZs2iefPmPPDAAxw8eJCQkBCguMLq+++/z+rVq2nTpg2HDh1i9uwK/j5KcHJyYufOnaSlpdGpUydGjRpF3759ee+990zG9e3bl/DwcO666y5Gjx7NkCFDWLRokfHxqv4OhJrl4mFeQ0JzxwmCrfA18yROIwcbLvRpAyS59Ea/jTNUiM3MzCzzrrqgoIC4uDjCwsJuqWJnbm4u5z7/HOevN6IrkdxpFxCA/0tzauUYcXXmVt1kqYjGDXD2CqilGdUdEyZMICMjg23btll7KtVS3u/zsWPH6NChA0ePHq3R0yy1dd+K6PU61k6dWGZr53J6Jqt2/cn0e3sS0bQJT7z3ic3nnFj6Z2eNedjK92jrdLJMx/3RJGqL8+UKz8WQ9uRYvD78ymTlRAIu3d0aewt1vbeV343KXr9LE9s6N8iyTH6hDl2nTniOfgjH8+fQpVy3eIXYijg4OBARceOXuzAPMov7usgyaIpk1HZSmer1Do7lN1kT7nx6vUxibAa5WRqc3dQEhnugUNjOUWiFQsk9EyZXeFoHoM/4yTYfmAhCSQcycoyBSWU6ujlZLDCpq6wSnMTFxfH4449z7do1lEolBw4csGrTtMx8LVczCtAW5ANwNUuLfcMIglo72EyPHaVSefNnJDtBwTVj4z8X+3JedBQqcBAZ3/XRhePJ7P0mltwMjfGas4eaXmPCadLOz4ozMxXepTsPzHzJpM6Jwd2PPC6OEQt1jrn1Sw5n5bE9JYP7fD1qd0J1mFWCkwkTJvDKK6/Qq1cv0tLSrHpcMzNfy6XUsn1sCnV6LqXm0cgb2+tOLEnFHYjT4yoe496gwkaA9U3JSrF3ugvHk9mx5lSZ67kZGnasOcXAKVE2F6A06dTFWCE27moSq3b9ScNWbaw9NUGoNj97819S58deYaCPuyhjXwGLryudPn0alUplPFLq5eWFnZ11dpdkWeZqRuXN8K5mFJSpv2ETHD3AM6x4haQkhar4uqOHNWYlWJFeL7P3m9hKx/y5KRa93rZ+nxUKJSEtWxPR425jV2JBqIu6ergQqDavOepVTSEHMnKqHlhPVTs42bNnD0OGDCEoKAhJkspNMnz//feNSXwdOnRg7969xsdiY2NxcXHhgQceoH379tUqXV7TcjU6CnXlFw4zKNTpydWU7rZjIxw9wL8leDcFj0bF//VvKQKTO5hUVEC7AAWOGefg6gmTP9cP/oljTjQ+dhcq/OOQHc31g3+W+VzHjHO0C1AgFd1e52pBqM+UksQr4WUrv1ZElLGvWLWXLHJzc2nTpg2PPfYYI0eOLPP4N998w/Tp03n//ffp0aMHa9asYdCgQURHR9OwYUMKCwvZu3cvJ06cwM/Pj4EDB9KpU6cypcMtoaiCiqa3Os4qJAnUIrekvnDIiefYFBfYMwX2mD7mB4zxMeMmO8teigCOTXEhJicesE6uh16vI+lC8cpP0oVY9G3biIRYAVnWkZp6gD17dpOWpqNJkx7cdVfvMtWmbcV9vh48F+rP8ovXqhxbnW2g+qbaP5lBgwYxaNCgCh9/8803mThxorFIzapVq9i5cycffPABy5Yto0GDBnTq1MlY32Lw4MGcOHGiwuBEo9Gg0dxM7MvKyqrulCtkZ2a2tLnjBKG2Fbg0pP2aHL788ksiWrQweSz5UjZ/fHmmynv0eaQFfo1MA9qYM2d45JFH+GRwwxqdr7kMDQDP3OjrtGvteyT8/jP3TJgsEmPrseTknaz9+P94790LJCXdXGUICfFn1ar3GTFihBVnV7HpoQFsSEwjvoLHJSBQraKrh4slp1Wn1Oirrlar5ejRo/QvVQ+kf//+7N+/H4BOnTpx7do10tPT0ev17Nmz5+YR2XIsW7YMd3d34x9DUFMTnNVKVMrKfwQqpQJntW1G6EL9I9s5cDxJT75HMwhqa/LHp0tP8l0iuV7UpMI/Ba6R+HTpWeZz8z2acTxJj2xX/fpAt8vQALD0iZ2ctOt8/+ZSYg/ut/icBOtLTt7J+x+MZ/68s4SF2fPOu0H88GMo77wbTIMG2YwaNYotWyrrUGM9hu2d8lJdDddeDg8WybCVqNHg5Pr16+h0ujIVRv39/UlKSgLAzs6OpUuXctddd9G6dWvCw8O5//77K7znnDlzyMzMNP5JSEiosflKkkSQR+VPxkEeDmY1kBMEa1MoJHqNqTyhtOfocJuqd2JuA0C93kbzvoRaIcs6Ys4sZs2HqXTt6sTiJf5ERjrg6KggMlLN4iUBdO/uwezZs8v0DbMV9/l6ML9pUJnrgWoVH0eFimPEVaiV/YrSL+alO8cOGjSIkydPcurUKd58881K76VWq3FzczP5U5PcHe1p5O1UZgVFpVTQyNvJIseIe/fuzfTp023mPsLtKf33EBoayqpVqyzytZu082PglCicPUyP57t4qm3uGDFUrwGgUH9kZBzmyJGLJCUV8fDYsgUEFQoYM8aRuLg4kwMXtkIny+xLz6bwxsm415s14IPIRnzXtgmHu0WKwMQMNZqN4+Pjg1KpNK6SGCQnJ992v5bVq1ezevXqWomS3R3tcXNQkZoJF1Mh2NMRb3dXm10x2b17N3369CE9PR0PDw/j9S1btqBSmXeM7U6yY8cO5syZw5kzZ/Dy8mLo0KG8//77VpuPLfw9lD7+bmvHhw1EA0ChPBpNMmlpxc/1YWHlv0EMvXE9MTHRYvMyx/aUDObFXiFRU0jhv8VzW34xiTejWtHDUxxeMFeNrpzY29vToUMHdu3aZXJ9165ddO9+e0ltU6dOJTo6msOHD9/WfSoiSRKOquLcErVSwdVzGZw7nMSVs+k2+8RempeXF66ud84vf2Fh1WWgCwoKGDFiBK1bt+bkyZNs376dtm3b1v7kymGYrzX/HgxF2PIytSbX8zK17FhzigvHkyv4TOswt7FfRuLVqgcJdwy12g8vr+Ln47g4bbljLt64HhgYaLF5VWV7SgZPnLpIosb0uStVW8QTpy6yPSXDOhOrg6odnOTk5HDixAlOnDgBFJeiP3HiBPHxxXnJM2fO5OOPP+bTTz8lJiaGGTNmEB8fz5NPPlmjE68taXGFbH7lBNveOs6uT6LZ9tZxPn9pv0Wf1Dds2EDHjh1xdXUlICCAsWPHknyjEeHFixfp06cPAJ6enkiSxIQJE4DytxOWLl3K448/jqurKw0bNuSjjyrf39+xYwc9e/bEw8MDb29v7r//fi7cOEFh+PqSJLFp0yZ69eqFo6MjnTp14ty5cxw+fJiOHTvi4uLCwIEDSUlJMbn3Z599RkREBA4ODrRo0cJkdaPkfXv37o2DgwMbNmww6+elVCp55JFHaNq0KW3btmXy5MlmfZ5er+f111+nadOmqNVqGjZsyKuvvmp8/IUXXqBZs2Y4OTnRuHFj5s+fbxIwLVq0iLZt2/Lpp5/SuHFj1Go1siyXu72WnZ3N2LFjcXFxISgoiHfffdesOVZHXSzCFhzREhcv7yrH/fPbDpF3Uo94eHSiY8dQAgLs+PqrjDK/s3o9fPNNPmFhYcaCntamk2XmxV6hvH9dhmvzY6+gs8Winjao2sHJkSNHaNeuHe3atQOKg5F27dqxYMECAMaMGcOqVatYsmQJbdu2Zc+ePfz00080atTotia6evVqIiMj6dSp023dpzKX/kkj9rf8Mu86DaW/LRWgaLVaXn75Zf7++2+2bdtGXFycMQAJCQnhu+++A+Ds2bMkJiby9ttvV3ivlStX0rFjR44fP87TTz/NU089xZkzFR83zc3NZebMmRw+fJjffvsNhULB8OHD0Zeq9bJw4ULmzZvHsWPHsLOz4+GHH+b555/n7bffZu/evVy4cMH4OwGwdu1a5s6dy6uvvkpMTAxLly5l/vz5rF+/3uS+L7zwAtOmTSMmJoYBAwZU+bNycHBgwIABPP/886SlpVU5vqQ5c+bw+uuvM3/+fKKjo/nqq69Mth9dXV1Zt24d0dHRvP3226xdu5a33nrL5B7nz59n06ZNfPfdd8aAvTzLly+ndevWHDt2jDlz5jBjxowyK4y3KzE2w6SfTnly0jUkxmbU6Ne9HQqFktZ9q/57zklLFXkn9YgkKYlosZApT3pz4EAeCxdcI/p0AXl5eqJPa1i4IIn9+zNYsWKFzdQ7OZCRU2bFpCQZURW2Oqqdc9K7d+8qy7k//fTTPP3007c8qfJMnTqVqVOnGlsu1zS9XubgtkuVjvlzUyxhbXxr/bTD448/bvz/xo0b884779C5c2dycnJwcXHBy8sLAD8/P5Ock/IMHjzY+Hfxwgsv8NZbb7F7925alKqRYVC6sN4nn3yCn58f0dHRREVFGa/Pnj3bGDz83//9Hw8//DC//fYbPXr0AGDixIkmPW1efvllVq5caaxLEBYWRnR0NGvWrGH8+PHGcdOnT69W7YLFixdz/PhxHn74Ye6++2527txJUFBxhvwzzzzDpUuX+OGHH8p8XnZ2Nm+//Tbvvfee8es3adKEnj17GsfMmzfP+P+hoaHMmjWLb775hueff954XavV8sUXX+Dr61vpPHv06MGLL74IQLNmzdi3bx9vvfVWjRYfzM2qPDCp7jhL8Qg0r6KmyDupX/z8BvD0U+tRqYrrnEybdnNrr2HDADZv/sKm6pyYW+115/VMkXtiBlGe7obE2IwyKyalGd51Bjc3b5/8Vh0/fpxFixZx4sQJ0tLSjKsW8fHxREZGVuterVu3Nv6/JEkEBAQYt4jKc+HCBebPn8+BAwe4fv26ydcuGZyUvK9htaFVq1Ym1wxfJyUlhYSEBCZOnMikSZOMY4qKisoEmh07djT7e0tPT2fZsmVs2bKFwYMHo1Ao6NGjB7/88gvh4eGcOnWqwoKBMTExaDQa+vbtW+H9N2/ezKpVqzh//jw5OTkUFRWVOS3WqFGjKgMTgG7dupX5uKZP8Di7mddA09xxluJk5psNc8cJdw4/vwG8NOc0UybbfoVYc6u9fnctnYVNRY2Tqojg5AZbedeZm5tL//796d+/Pxs2bMDX15f4+HgGDBiAVlt58FSe0qdGJEkqs0VT0pAhQwgJCWHt2rUEBQWh1+uJiooq87VL3tdwqqn0NcPXMfx37dq1dOnSxeQ+pZ9gnJ2dzf3WOHv2LBqNxrjFuGTJErKysujZsyerVq3iwIEDfPnll+V+rqOjY6X3PnDgAA899BCLFy9mwIABuLu7s3HjRlauXHnL8y2tpk+DBYZ74OyhrnRrx8VTTWC4R41+3VuRl5dn3F5MjD3L5fRMAJKzckz+W9Kp0zH4Ni7OARLqD0lS4uPTgxEjelh7KpXq6uGCt0pJamHluVGphToOZOSI1ZMq1JngpDaPEoPtvOs8c+YM169f57XXXjNWwz1y5IjJGHv74iN0Nf2zSE1NJSYmhjVr1hiTzP7888/bvq+/vz/BwcH8+++/PPLII7d9P4Pg4OLtgD179jBmzBgA3nrrLXJychg7dizTpk0zjiktPDwcR0dHfvvtN2OrhZL27dtHo0aNmDt3rvHapUuVb/tV5sCBA2U+rmhr7VYZirDtWHOqwjG2UoTtzJkzdOjQocLHvzp4osy1Vbv+5OjRo7Rv374WZyYIt0YpSYz09+KjyylVjhUN/6pWZ4KT2s45CQz3wMndvtKtHUu862zYsCH29va8++67PPnkk5w6dYqXX37ZZEyjRo2QJIkff/yRwYMH4+joiIvL7fdo8PT0xNvbm48++ojAwEDi4+ONeRK3a9GiRUybNg03NzcGDRqERqPhyJEjpKenM3PmzHI/Z+vWrcb6JeUJCQnhoYceYurUqWg0Gnr06MG///7LP//8g7OzM99//z1z587Fz69s4TEHBwdeeOEFnn/+eezt7enRowcpKSmcPn2aiRMn0rRpU+Lj49m4cSOdOnVi+/btbN269Za//3379vHGG28wbNgwdu3axbfffsv27dtv+X4VMRRh2/tNrMkKiounmp6jw22mCFuLFi04evQoUNzkb9fa9wAoLNKRnpePp5MjKjvTVbV7Jz1T4wGdINSkAT5uZgUnouFf1cRP6AaFQqLLsEb8sb7io5iWeNfp6+vLunXreOmll3jnnXdo3749K1as4IEHHjCOCQ4OZvHixbz44os89thjPProoybJp7dKoVCwceNGpk2bRlRUFM2bN+edd96hd+/et33vJ554AicnJ5YvX87zzz+Ps7MzrVq1qrSibWZmJmfPnq30vuvXr2f58uW8+uqrXLp0ieDgYMaNG8fPP/9M3759eeCBB/jjjz/K3caZP38+dnZ2LFiwgKtXrxIYGGg88j506FBmzJjBM888g0aj4b777mP+/PksWrTolr7/WbNmcfToURYvXoyrqysrV6406zTSrWjSzo+wNr7Fp3eyNDi7FQfVtrBiYuDk5GRcAdG3bUPC7z8bK8WGlTPe1duHgSNHiS7F9ZQs68jIOIxGk4xa7YeHRyckyfZ+F7p6uBCoVlV4akc0/DOfJFd19MbGGFZOMjMzyyQnFhQUEBcXR1hYGA4O1W9glpuby76f/uHKEZ3JCoqtvesU6ofyfp+PHTtGhw4danx7o7buay5D87+KPDDzJZvtTmztn50l5mHN7zE5eSfnYpeg0dysPK5WB9AsfAF+frUT4N+O7SkZTDx1EYDCczGkPTkWrw+/QtWsuMHtJ1boq2MrvxuVvX6XVmdWTmo758TAK0xFt4GtyLpaaLPvOgXhThPepTsPzHyJ39d9ZNJrx9Xbhz7jJ9tsYCLUruTknZw8NRVKlTbTaK5x8tRUWkWttskARbh9dSY4qe2ck5IUCqnWjwsLgmAqvEt3mnTqUtwMMCMdFw9PgiNaiq2cekqWdZyLXULpwOTGo4DEudiX8fXtZzNbPIYqsRWRKK4SO9DHXRwlrkKdCU4EQbjzKRRKQlq2rnqgcEfLy8vj0KFvOXPm5gk5jVbPtaQi/APsUNsbiptfpKhwA25urWjRooXVj5lXp0qsrR0l1ullDsWlkZxdgJ+rA53DvFBaccdABCflyC4oQlYW4axW2mxnYkGojF4v23RCrCBU5syZM/TpM8HM0cXjrJ3zA3W3SuyOU4ks/iGaxMwC47VAdwcWDolkYJR1GiuK4OSGzHwtl1NzAbiWVUByvoxKqSDIwwF3x/JbdguCLbpwPJn/fX2W/Kyb7+Ac3VTc/XBzkdQt1AktWrTgjz/WcebMzTpD8fFali1LYc4cXxo2tC8x9lXjyom11cUqsTtOJfLUhmNlNs+SMgt4asMxPhjX3ioBSp0JTmozITYzX8ul1DxknelfT6FOz6XUPBp5IwIUoU64cDy53CJs+VmF7FhzioFTokSAItg8Jycn7r57HHaqj9BorlEy76RhQ3vCm6kBCbU6gB7dx9lMzkldqxKr08ss/iG6kqweWPxDNPdGBlh8i6faXYmtZerUqURHR3P48OEava8sy1zNKKh0zNWMgiqbHQqCten1Mr9+Fl3pmN/WRZdpPy8ItkiSlDQLN3Q2L/3CWPxxs/D5NhOYwM0qseawhSqxh+LSTLZySpOBxMwCDsVVr+N7TagzwUltydXoKNRV3GsGildQcjW1e4RZEG7XlZg0irRV/C5r9FyJsfwTjSDcCj+/AbSKWo1a7W9yXa0OsNljxAN8Kq/fYWALVWKTsyt/Y26wKzqp6kE1rN4HJ0WVNMG7lXGCYC1nDpn3BGLuOEGwBX5+A+jRfQ8tWrwKFOeY9Oj+P5sMTAA6uTtX+cKquDHO2vxczStW+um+i+w4lVjLszFV74MTO4V5PwJzxwmCtRQWmLe6Z+44QbAVkqTEza0VAG5urWxqK6e0w5m5VPVWVn9jnLV1DvMi0L3qAMWQe6Kz4JZwvX/F1ZmxIqJSKnBW2+4/hrpm0aJFtG3b1trTuOMENjWvOKG54wRBqD5zc0lsIedEqZBYOCSyynHWyD2pM8HJ6tWriYyMpFOnTjV2T1mWuVpOMpCs15N2PprEY/tJOx+Nm1pxR9Y70Wor7sAs1D2t+oSUzRssTboxThCEWmFuLokt5JwADIwKZGKPULPGmpujUhPqTHBSG6d1ykuGTTkXzZ+vP8/RD5Zy6sv3OfrBUra9+DTnDu6rsa9bWu/evZk2bRrPP/88Xl5eBAQElOl+m5mZyeTJk/Hz88PNzY177rmHv//+2/j4hQsXGDp0KP7+/ri4uNCpUyd+/fVXk3uEhobyyiuvMGHCBNzd3Zk0aVK585FlmTfeeIPGjRvj6OhImzZt2Lx5s/FxnU7HxIkTCQsLw9HRkebNm/P222+b3GP37t107twZZ2dnPDw86NGjB5cuXWLdunUsXryYv//+G0mSkCSpRjoqC2Bnp6Btv8oDj7b9QrCzqzP/7AWhzjF0Jq7ofYIEBNlYZ+J+kQFmjTM3R6Um1MtnKZ1OR25uLjm5uciFGuOfa38fJPq/m9BkppuML8hM44c3lxF7cH+tzWn9+vU4Oztz8OBB3njjDZYsWcKuXbuA4mDhvvvuIykpiZ9++slYCbFv376kpRUvs+Xk5DB48GB+/fVXjh8/zoABAxgyZAjx8fEmX2f58uVERUVx9OhR5s+fX+5c5s2bx2effcYHH3zA6dOnmTFjBuPGjeN///sfAHq9ngYNGrBp0yaio6NZsGABL730Eps2bQKgqKiIYcOGcffdd/PPP//w119/MXnyZCRJYsyYMcyaNYuWLVuSmJhIYmIiY8aMqa0fa73TY2Q4be8NofRCnyRB23tD6DEy3DoTE4R6QilJvBIeDFR0ABpeDreNAmwGhtyTygKqQPfikvaWYhvrShZWUFBATEyMyTVZr+fsDxsr/bw/1n9Ek05daqURWevWrVm4cCEA4eHhvPfee/z222/ce++9/PHHH5w8eZLk5GTUajUAK1asYNu2bWzevJnJkyfTpk0b2rRpY7zfK6+8wtatW/n+++955plnjNfvueceZs+eXeE8cnNzefPNN/n999/p1q0bAI0bN+bPP/9kzZo13H333ahUKhYvXmz8nLCwMPbv38+mTZsYPXo0WVlZZGZmcv/999OkSRMAIiIijONdXFyws7MjIMC8aF2onh4jw+kytAkn/0gg8XwmKgclLToHEBxhuScWQajP7vP14OOoUGZejCW1xPVAtYqXw4O5z9fDWlMrlyH35KkNx5Aov9XiwiGRFi3EVi+DEwcHB+OLZdz1XHR6mbQLZ9DmZFX6edmp17kSc7pWGpO1bm16z8DAQJKTk4HinhE5OTl4e3ubjMnPz+fChQtAcVCxePFifvzxR65evUpRURH5+fllVk46duxY6Tyio6MpKCjg3nvvNbmu1Wpp166d8eMPP/yQjz/+mEuXLpGfn49WqzUmuXp5eTFhwgQGDBjAvffeS79+/Rg9ejSBgdbp0VAfXTp5nb9/u0xuhgaAcwev4eyhpteYcFEhVhAs4D5fD/xaN6YzMKdxIN3aNqGrh4tNrZiUNDAqkA/GtefFLSfJyDNtXujupLL4fOplcKJUKnF2Lj5jHiKpuJSWhzbPvGNdORnpVQ+6BSqV6V++JEnob5wk0uv1BAYGsnv37jKf5+HhAcBzzz3Hzp07WbFiBU2bNsXR0ZFRo0aVSXo1fN8VMXzN7du3ExwcbPKYYdVm06ZNzJgxg5UrV9KtWzdcXV1Zvnw5Bw8eNI797LPPmDZtGjt27OCbb75h3rx57Nq1i65du1b9wxBuy/mj19i59nSZ67kZGlHCXhAsyBCI3OPtRnsbavRXmdKBCUBmXqHF++zUy+CkJHcne3wLdaS5eZg13sXDs3YnVI727duTlJSEnZ0doaGh5Y7Zu3cvEyZMYPjw4UBxDsrFixer/bUiIyNRq9XEx8dz9913V/i1unfvztNPP228ZljBKaldu3a0a9eOOXPm0K1bN7766iu6du2Kvb19rfRIEuD80WR++bhsYFLS7g1nCGvjK7oU1xD5Ru2H/LNpFLhnoA5zRxI/2xony8XPGdev/4/0dC0eHp1sut5JXWPos1Mea/TZqZcJsaUFujvSpmM7HNwr35N39fYhOKKlhWZ1U79+/ejWrRvDhg1j586dXLx4kf379zNv3jyOHDkCQNOmTdmyZQsnTpzg77//ZuzYscZVkOpwdXVl9uzZzJgxg/Xr13PhwgWOHz/O6tWrWb9+vfFrHTlyhJ07d3Lu3Dnmz59vcooqLi6OOXPm8Ndff3Hp0iV++eUXzp07Z9xKCw0NJS4ujhMnTnD9/9u787goy/Xx459hG4QBBmVVEVBARNwAM/UoVBqo+cO03D16LLVEzSwtv+auWZaJmZnZKTzaOWlH85vYF9PMJU1TFpMAQQQxHcSNVVlnfn/QjI4zwCDbgPf79fJV8zz3PM8948hc3Mt13bxJSUlJPbxLQnp8Dge2JlJTGajionJif8hslD61dPcSb3IzqrLQYv6BTG5uPU/2+79xL/FmE/esZcnJOUDCuZcBuHRpHXHxEzhxciA5OQeauGcth7HV2Wk2wUlD5Dl5kL2sFYNfmlFtm6cmT2+QxbA1kUgk/PDDDwwcOJCpU6fi4+PD2LFjyczMxNm5subE+vXrsbe3p1+/fgwfPpzQ0FACAgIe6X4rV65kyZIlrFmzhi5duhAaGsq+ffvw9PQE4JVXXmHkyJGMGTOGPn36cOvWLa1RFCsrK1JSUhg1ahQ+Pj5Mnz6dWbNmMWNG5fs7atQowsLCeOqpp3B0dOQ///lPHd8hQalUcXxnmsHtz/18RRQArKN7iTe5tSMZZaH2MHhFXim3diSLAKWe5OQc4HxiBGWlt7SOl5Rc53xihAhQ6omhOUwaK9dJs5nWiYiIICIigvz8fOzsGibDpU+f/vy/ef/D4ajPKbx9/weLTRsHnpo8He8+/RrkvvrWkuzdu1frsY2NDR9//DEff/yx3mt4eHhw+PBhrWMRERFajw2d5pFIJMyZM4c5c+boPS+VSvnqq6/46quvtI6vWbMGAGdnZ7777rsqry+VSrXypgh1p0jL1Sx+NURJUTmKtFzadW78acqWQKVUkbtPdyrzQbn7LmHp10ZM8dSBSlVBatoK9O8fqZxsSE1biaPjIDHFU0eG5jBprFwnzSY4aSzeffrRqXcfrib/QWHuHWRye9p16dokIyaCYKii/NpPjT3Kcx53d+/eJSUlhZIrBeReqBypunjrstZ/NbJBvu8ePQb3xsrKqrG72mykpaVRUFCg91x+/nlSUirf16ysUq3/3pdJedkOTe2dB9nY2ODtLXL7GEKd6yQ7r1hvKCgBXBox14kITvQwMTFtkO3CgtBQrG2ljfKcx11KSgqBgYF6z82JXqV7cBuapImCrrS0NHx8fGr1nDVrbug5OqXK9qmpqSJAMUB1uU7UY3+NmetEBCeC0AK4esuxlksNntqR2Utx9ZY3bKdaIF9fX2JjYytHTr6rHDkpKS/lSp4CNztXpGYWWu3lz3vj6+vbFF1tFtQjJjt27NBK1KhWOXKyCIDSUiXZ2eW4uJhhYaG9XNLXd7XOyElycjITJ06sclRG0KXOdbJ8X5LW4lgXO0uWDvdrtG3EIIITQWgRTEwkDBjjTcyWRIPa/220t9hK/AisrKwICAhA1VNFdpIlFXmVUwxB7XWnFEztpLgM7y3WnBigS5cuekeXrudkU6FsBVTuPOzq/3ALCVKpC/37TRRrTupJmL8rg/1c+C3jNjkFxTjZVE7lNGZ2WGhGu3UEQahep15OhM3wR2pV/e8cPQe7iSRsdSQxkSAf3qnaNvLhHUVgUgc5OQdITJyDOjDRT4WP92KjDEwqVCoS8iuTeybkF1FR0x5/I2JqIqFvpzaE92xH305tGj0wARGcCEKL4tnDETOL6n9QXzybI7YR14NW/g60mdgFUzvtqRxTOyltJnahlb9DE/Ws+at+l47x238jl6Bfk5h/4U8A5l/4k6Bfk9h/I7dpO9aMiGkdQWhBDNlSXHinRGwjriet/B2w9GtDSUYeyoJSTGwsRIbYepCbe4aSkmyD2hrbVuL9N3J5OTFTJ6xSlJTxUmImW7u6M9xJ/NuriQhOBKEFufS7vp0MusQ24vojMZFg2Une1N1oUUpKcmrRVkFu7hns7Zu+bleFSsU7aVerHe+Z8Ufl1mgRoFRPTOsIQguhVKpIPXXdoLZiG7FgzKTS2q2Jqk0w05BO5RaiKNEtnPcgJTDtj8tiiqcGIjh5DB05cgSJREJubm5Td8VgKpWK6dOn07p1ayQSCQkJCVW2lUgkOhl2HweKtFyKi6r/wQjQSmYuthELRk0u741U6mJw+9oGMw0lp7Tc4LaL0642q0Wyja3ZBCcNXVunpQoJCWHu3LlN3Y06i4mJISoqiujoaBQKBf7+OnsKNRQKBUOGDGnE3hkHQ6dqvPs4i23EglGTSEzx8V5iUFup1BW53Di+F5wsDF8pca2kjFO5hQ3Ym+at2QQnERERJCUlaVW/bSgqpYri9FzuJuRQnJ6rKYnenJSV1fwbdHO6Z3p6Oq6urvTr1w8XFxfMzHR/CJSWVuaccHFxQSp9/KYt8q7fM6hdx+6ODdwTQag7R8dBmJvJa2zn5DTMaBbDPimX4So1N7h9bUZaHjfNJjhpLPcSb5L9/m/c3Hqe299caJQS6CEhIcyZM4cFCxbQunVrXFxcWLZsmVabrKwswsPDkclk2NraMnr0aK5fv7++YNmyZfTs2ZMvv/ySjh07IpVKmTx5MkePHmXDhg1IJBIkEolW8b/Y2FiCgoKwsrKiX79+XLhwQeue+/btIzAwEEtLSzp27Mjy5cspL7//j0kikfDZZ58RHh6OtbU1q1at0vRj+/bteHh4YGdnx9ixY6vN0njr1i3GjRtH+/btsbKyolu3blqViqdMmcLs2bPJyspCIpHg4eGhed9mzZrFvHnzcHBwYPDgwZp+PTit8+effzJ27Fhat26NtbU1QUFBnD59GqgMesLDw3F2dkYmk9G7d28OHTpk0N+bMVEqVfzxy7Ua21nLLcSUjtAs5Oaeoaw8t8Z22dl7UKkqGr5DBjCVSFjl3c7g9rUZaXnciODkAeoS6Oqsj2qNUQJ927ZtWFtbc/r0adauXcuKFSs4ePAgULneYsSIEdy+fZujR49y8OBB0tPTGTNmjNY1Ll68yK5du9i9ezcJCQl8/PHH9O3bl2nTpqFQKFAoFLi5uWnaL1q0iHXr1nH27FnMzMyYOnWq5tyBAweYOHEic+bMISkpiS1bthAVFcXq1au17rl06VLCw8M5f/685vnp6ens3buX6OhooqOjOXr0KO+9916Vr724uJjAwECio6NJTExk+vTpTJo0SRNAbNiwgRUrVtC+fXsUCoXW6Nm2bdswMzPjxIkTbNmyRefahYWFBAcHc+3aNb7//nvOnTvHggULUCqVmvNDhw7l0KFDxMfHExoayvDhw8nKyjLo781YGFqV2G9AWzGlIzQLhi5yLSu7TW5uw4+oG2qYo5ytXd2r/XKVAG2l5jwplzVWt5odEbb9palLoHfv3p2lS5cC4O3tzSeffMJPP/3E4MGDOXToEL///jsZGRma4GL79u107dqVM2fOaNbhlJaWsn37dhwd7w/bW1hYYGVlhYuL7uKy1atXExwcDMDbb7/NsGHDKC4uxtLSktWrV/P2228zefJkADp27MjKlStZsGCBpp8A48eP1wpqAJRKJVFRUdjY2AAwadIkfvrpJ53ARq1du3a8+eabmsezZ88mJiaGb7/9lj59+mBnZ4eNjQ2mpqY6r8PLy4u1a9dW+b7++9//5saNG5w5c4bWrVtrnqPWo0cPevTooXm8atUqvvvuO77//ntmzZpV5XWNjaHrTeROojqu0DzUZpGrsezWUVNvE56SmqxzTv3tsdK7HaYS8YtCVcTIyV9KMvJ0RkweVpFXQklGXoPcv3t37SrIrq6u5ORU/oNLTk7Gzc1Na9TDz88PuVxOcvL9D7+7u7tWYFKbe7q6VhZ0Ut8zNjaWFStWIJPJNH/UIzB3797VPC8oKEjnuh4eHprA5OHXok9FRQWrV6+me/futGnTBplMxo8//mjQ6IW++z8oISGBXr16aQKThxUVFbFgwQLN+ymTyUhJSWl2IyeGbg0WW4iF5kIu7425uf5/tw8zlt06DxruZM8Sr7Y6x12l5nzh78EwR3njd6oZESMnf1EWVB+Y1LZdbZmbay+ikkgkmqkHlUqFRE+E/fBxa2vrR76n+jrqeyqVSpYvX87IkSN1nmdpaVntPat7LfqsW7eO9evXExkZSbdu3bC2tmbu3LmaBa7Vqek1t2rVqtrz8+fP58CBA3z44Yd4eXnRqlUrXnjhBYPubUwMqUosKhELzYlEYkrnzstJTJxdbTtj2q3zsAH2lb+kfdC5PfZd3HGyMONJuUyMmBhABCd/MbGxqLlRLdrVJz8/P7Kysrhy5Ypm9CQpKYm8vDy9ZcYfZGFhQUVF7ReLBQQEcOHCBa0pkIZy/PhxwsPDmThxIlAZGKWlpdX42gzRvXt3vvjiC27fvq139OT48eNMmTKF559/Hqhcg/LgouHmwpCqxKISsdDcODsNJd/td7KubK2ihcRoC/89qKetNQHOIiNsbYhpnb9IPe10Cng9zNROitTTrpF6dN+gQYPo3r07EyZMIC4ujt9++42///3vBAcH1zit4eHhwenTp8nMzOTmzZvVjmA8aMmSJfzrX/9i2bJl/PHHHyQnJ7Nz507eeeed+nhJWry8vDh48CAnT54kOTmZGTNmkJ1tWF2NmowbNw4XFxdGjBjBiRMnuHTpErt37+bXX3/V3HvPnj0kJCRw7tw5xo8fb/B7ZGzUVYmt5dpTNzJ7KWEz/EUlYqFZ8vZ+G/+un2Burv3lLpW60s1/E05OoU3UM6EhiZGTv6hLoN/aobuASa2pSqCrt8bOnj2bgQMHYmJiQlhYGBs3bqzxuW+++SaTJ0/Gz8+Pe/fukZGRYdA9Q0NDiY6OZsWKFaxduxZzc3N8fX15+eWX6/pydCxevJiMjAxCQ0OxsrJi+vTpjBgxgry8uq/vsbCw4Mcff+SNN95g6NChlJeX4+fnx6ZNmwBYv349U6dOpV+/fjg4OPDWW2+Rn59f5/s2lU69nPDs4ci1C3f4M+0OEhW07WxPOx/xW5vQfDk7D8HJ6dm/CgLmIJU6IZf3NvoRE+HRSVSq5pU/Nz8/Hzs7O/Ly8rC1tdU6V1xcTEZGBp6enlrrImrjXuJNcvelay2ONbWTIh/eUZRAFxqVvs9zXFwcgYGBxMbGEhAQoPd56fE5HN+ZprX+xFouZcAY7ypHTwy5rmDcGvLvsKGubch1VaqKRwpKjOEzbQx9aOh+1Oba1X1/P0yMnDxElEAXmrP0+By9606KckuI2ZIopneEZiUn5wCpaSsoKbk/zSuVuuDjvURM57RwYs2JHuoS6FY9nbDsJBeBidAsKJUqju9Mq7bNL7vSUDbDcgzC4ycn5wDnEyO0AhOAkpJszifO5FLGRqPJDCvUvyYZOTEzM9MUbgsKCuKLL75oim4IQrOjzjETFxency4nM5+UtBTN47LyUm4VZNPGxgVzs78We9+AH/eW4eShPaT6YL4cQWhqKlUFqWkrgKoD6YyMSK5e/Q+dfZaKUZQWqEmCE7lcXm3Je0EQ9EtJqQw+pk2b9sjXeH9P1eceTJ4nCA1NUl5MLxcTWuWmwrX7A/kFBeexuPknNSduuErmr9Mx83qb1vZ9tc60yk2ll4sJkvLieu+30PDEmhNBaEZGjBgBgK+vL1ZW91PRK5Uqvt8QT+nd+4UZs+9kse3nNUx+aiEu9h00x0Mm+OqMnEBlYOLt7d1wnReEh1gWZhE3QwbHZsCx+8dtgSdqc6H4t3UOdQHiZshILswC+tWto0Kjq3VwcuzYMT744ANiY2NRKBR89913mh+Yap9++ikffPABCoWCrl27EhkZyYABAzTn8/PzCQwMpFWrVlr1XQRBqJ6Dg4Pe7dxXL9zB2ToP9CTMdbHvgJujDwCWMnOeHfE3kYxNMArFsg4EbCnk66+/pouvr+Z4fsF5UlJql1PJ13cVtjbdNI+TU1KYMGEC/xzaoZpnCQ+rUKr4LeM2OQXFONlY8oRna0yb4OdFrYOToqIievTowT/+8Q9GjRqlc37nzp3MnTuXTz/9lP79+7NlyxaGDBlCUlISHTpUfkgyMzNp27YtiYmJDBs2jPPnz9e4rUgQhKoZWvjPp4+zCEwEo6EysyQ+W8k9uQ+07ak5bqPqxr3r6ykvNzzX0V07O2xd7l/jXraS+GwlKrNHSyvxOIpJVLB8XxKKvPtTYa52liwd7keYv2uj9qXWu3WGDBnCqlWr9NZcAfjoo4946aWXePnll+nSpQuRkZG4ubmxefNmTZu2bSuLIfn7++Pn50dqamqV9yspKSE/P1/rjyAI2gwt6Ce1EjO5gvGTSExxc/tHrZ5jjMX/mpOYRAWv7ojTCkwAsvOKeXVHHDGJikbtT71uJS4tLSU2NpZnn31W6/izzz7LyZMnAbhz5w4lJZW/5f35558kJSXRsWPHKq+5Zs0a7OzsNH8erMwrCEIldeG/mpzZl0l6vHGVlxcEfTw9ZmJmJjegpcSoi/8BVKhUnLhTwHfX73DiTgEVRpb7tEKpYvm+JL17o9THlu9LoqIR0xDUa3By8+ZNKioqcHZ21jru7OysqZWSnJxMUFAQPXr04LnnnmPDhg1VlrMHWLhwIXl5eZo/V65cqc8uP5aOHDmCRCIhNze3qbtitNQlA5oLdeE/Q4hcJ0JzIJGY0sX3XYPaGnvxv4m/X2JUQjqvJl1mVEI6Qb8msf9GblN3S+O3jNs6IyYPUgGKvGJ+y7jdaH1qkDFeyUPloFUqleZYv379OH/+vMHXkkqlSKWGDVkLukJCQujZsyeRkZFN3ZVmRaFQYG/fvOrRdOrlxBPPefJbdPX1kwrvlKBIy6Vd5+b1+oTHj5NTKB3cplVTlRg6uL1stHlOjt8pAOBmaTnmDxzPLinj5cRMvvD3YJijvEn69qCcAsO2Wxvarj7U68iJg4MDpqamOhVlc3JydEZTamvTpk34+fnRu3fDD90plUoyMjI4f/48GRkZzbJKbVlZ2WNxz/pWWlpZU8nFxaVZBsV2zq0MamfoAlpBaEoqVQXXc/ZV00LC9Zxoo8wUW6FS8WmW/ilU9bjl4rSrRjHF42Rj2KJhQ9vVh3oNTiwsLAgMDOTgwYNaxw8ePEi/fnXbZx4REUFSUhJnzpyp03VqkpSURGRkJNu2bWP37t1s27aNyMhIkpKSGuyeISEhzJkzhwULFtC6dWtcXFxYtmyZVpusrCzCw8ORyWTY2toyevRorl+/rjm/bNkyevbsyZdffknHjh2RSqVMnjyZo0ePsmHDBiQSCRKJhMzMTM1zYmNjCQoKwsrKin79+nHhwgWte+7bt4/AwEAsLS3p2LEjy5cvp7z8fh4NiUTCZ599Rnh4ONbW1qxatUrTj+3bt+Ph4YGdnR1jx46loKCgytd/69Ytxo0bR/v27bGysqJbt2785z//0XmPZs+ezdy5c7G3t8fZ2ZnPP/+coqIi/vGPf2BjY0OnTp34v//7P63nJSUlMXToUGQyGc7OzkyaNImbN29qXXfWrFnMmzcPBwcHBg8erHltD07r/Pnnn4wdO5bWrVtjbW1NUFAQp0+fBiA9PZ3w8HCcnZ2RyWT07t2bQ4cOVfl6G5KhC2MNbScITamy4F92NS1UlJQoyM1t2O+FR3Eqt5CbpeVVnlcB10rKOJVb2HidqkKguz2tratPeWcigTtFjfdLTa2Dk8LCQhISEjQZXjMyMkhISCArKwuAefPm8cUXX/Dll1+SnJzM66+/TlZWFq+88kq9drwhJCUlsWvXLp0dQfn5+ezatatBA5Rt27ZhbW3N6dOnWbt2LStWrNAEeSqVihEjRnD79m2OHj3KwYMHSU9PZ8yYMVrXuHjxIrt27WL37t0kJCTw8ccf07dvX6ZNm4ZCoUChUGgtKF60aBHr1q3j7NmzmJmZMXXqVM25AwcOMHHiRObMmUNSUhJbtmwhKiqK1atXa91z6dKlhIeHc/78ec3z09PT2bt3L9HR0URHR3P06FHee++9Kl97cXExgYGBREdHk5iYyPTp05k0aZLmy//B98jBwYHffvuN2bNn8+qrr/Liiy/Sr18/4uLiCA0NZdKkSZoU7wqFguDgYHr27MnZs2eJiYnh+vXrjB49Wue6ZmZmnDhxgi1btuj0r7CwkODgYK5du8b333/PuXPnWLBggWZErbCwkKFDh3Lo0CHi4+MJDQ1l+PDhmn8TjcnVW47UuvrZWpm9FFdveeN0SBDqoKTEsMXbhrZrTDnVBCaP0q6hxCQqCP7gZ24XlVbbTqmCiH/HN9qunVqvOTl79ixPPfWU5vG8efMAmDx5MlFRUYwZM4Zbt26xYsUKFAoF/v7+/PDDD7i7u9epo5s2bWLTpk1UVDTM8J1SqSQmJqbaNjExMfj6+mJiUv/1Ert3787SpUsB8Pb25pNPPuGnn35i8ODBHDp0iN9//52MjAxNcLF9+3a6du3KmTNnNFNdpaWlbN++HUdHR811LSwssLKywsXFReeeDybAe/vttxk2bBjFxcVYWlqyevVq3n77bSZPngxAx44dWblyJQsWLND0E2D8+PFaQQ1UvpdRUVGaVOiTJk3ip59+0gls1Nq1a8ebb76peTx79mxiYmL49ttv6dOnj+Z4jx49eOedysRMCxcu5L333sPBwUGTyn3JkiVs3ryZ33//nSeffJLNmzcTEBDAu+/eX1T35Zdf4ubmRmpqKj4+lYnJvLy8WLt2bRV/M/Dvf/+bGzducObMGc3ibS8vL61+9ejRQ/N41apVfPfdd3z//ffMmjWryus2hIxzNygpqv6H3d9Ge4tcJ485pVLJ5cuXKSwsRCaT4e7u3iA/1+rK0O3BxriN2MnCsK9XQ9s1BPX24dpMLC3fl8RgP5cGT8xW63clJCQEVQ1zZDNnzmTmzJmP3Cl9IiIiiIiIID8/Hzs7u3q9NsDly5drzKGSn5/P5cuX8fT0rPf7d+/eXeuxq6srOTmVvw0kJyfj5uamNerh5+eHXC4nOTlZE5y4u7trBSa1uaera2WCnZycHDp06EBsbCxnzpzRCigqKiooLi7m7t27mtTpQUFBOtf18PDQqtHy4GvRp6Kigvfee4+dO3dy9epVSkpKKCkpwdpaO93pg/01NTWlTZs2dOt2PyOkel2T+l6xsbH8/PPPyGQynXump6drghN9r+FBCQkJ9OrVq8pdZUVFRSxfvpzo6GiuXbtGeXk59+7da/SRE6VSxaGo6kf3TM1M8Oxh+GdEaHmSkpKIiYnR+nlna2tLWFgYfn5+TdgzXXJ5b6RSF0pKrqO/CKAEqdTFKLcRPymX4WBhRlX7WySAq9ScJ+W6P5/qm76CoRVKFQuizlBcqDtVoyovpTzvOmZ2zkjMtKd7MrNh+z4J3d3kQMMVDRUZmf5SWGjYvJ+h7WrL3Nxc67FEItFMGzy42+lBDx9/+Mu8NvdUX0d9T6VSyfLly/Um27O0vL8oSt89q3st+qxbt47169cTGRlJt27dsLa2Zu7cuZrFqdVdt6bXMHz4cN5//32de6qDsapew4Natap+ken8+fM5cOAAH374IV5eXrRq1YoXXnhBp/8N7c+U25SXVL94u6JcyZ8pt+ng16aReiUYE/XU9cPUU9ejR482qgBFIjHFx3sJ5xMjqPw6fzBAqfz3bqzbiE0lEmZ2cGIu6p7ep3680rsdpnp+tte3+igY+qB/bNM9Vt9FQ0Vw8hd9v13XpV198vPzIysriytXrmhGT5KSksjLy6NLly7VPtfCwuKRpsICAgK4cOGC1vRFQzl+/Djh4eFMnDgRqAwq0tLSanxtNQkICGD37t14eHhgZvboH/Xu3bvzxRdfcPv2bb2jJ8ePH2fKlCk8//zzQGUA++DC48Zy4VR1Cwe124ng5PHT1FPXj8rRcRCenq9x5cpXWunspVIXfLwXG+02YoAB9pVf2G0szHgwEb+r1JyV3u0abRuxvoKhRy7k8MGBC3rbl926wq3odbR57g3M2+gmPl3zfDfNyAk0TNHQZhOcNPSaE3d3d2xtbaud2rG1ta3z2plHMWjQILp3786ECROIjIykvLycmTNnEhwcXOOUhIeHB6dPnyYzMxOZTFZtwrsHLVmyhOeeew43NzdefPFFTExM+P333zl//jyrVq2qj5el4eXlxe7duzl58iT29vZ89NFHZGdn1zk4iYiIYOvWrYwbN4758+fj4ODAxYsX+eabb9i6dSumpob9tjVu3DjeffddRowYwZo1a3B1dSU+Pp62bdvSt29fvLy82LNnD8OHD0cikbB48eIm2X5eVmrYvw1D2wnNi6S8mF4uJrTKTYVrusGF4to1rPPT9NWGvC//Ooq4GNr9VWJErVVuKr1cTJCUN16eC4CcnAOkpq3Q2rFjamqNm9tLdPScZZQjJvrs6N6R0o6dyCktx8nCjCflskYZMVHTVzC0xO4W0nPV/ywwb+OG1EX7F1RXO0smDX/K+NacNJWGXnNiYmJCWFiY3iFPtbCwsCb5jUK9rXX27NkMHDhQ09eNGzfW+Nw333yTyZMn4+fnx71798jIqD5Bl1poaCjR0dGsWLGCtWvXYm5ujq+vr96KuHW1ePFiMjIyCA0NxcrKiunTpzNixAjy8gwv+qVP27ZtOXHiBG+99RahoaGUlJTg7u5e679HCwsLfvzxR9544w2GDh1KeXk5fn5+bNq0CYD169czdepU+vXrh4ODA2+99VaT1IBq28mOjISbBrUTWh7LwiziZsjg2Aw4pnu+HTDDkAtF/1vnUBcgboaM5MIsoG5pIQyVk3Pgr+kc7bUmFRVFZGZ+jLLiHt7ebzdKX+rKVCKhv339TnvU1ROerXG1syQ7r7hWC2LH9u7QKFWKJaqaVrcaGXVwkpeXp1PJuLi4mIyMDDw9PbXWRdRGc1osJrRstf08l5cr2TL7iOZn+ZUbqby/51XeGrkZN8fKxb9IYMbGEMzMjGfYXqgf8b+d5KXwAXz99dd08fXVOX/12jWio6tLaFbpueeG64ycJKekMGHCBP75v8fp9UT9BSdxcXEEBgYSGxtLQECA5rhKVcGJkwNryHEC/l0/wdl5SK2u3ZiMoQ/VUe/WAe0QsCT7Itnb5uIyOVJn5GTD2J6E92z3SPer7vv7Yc1m5KSx+Pn54evr2yy22QnCg8zMTOg5yI2Eg1XXn+o5yE0EJi2UysyS+Gwl9+Q+0LanzvncO+YoqD5Tt62tLa4BYfDQz7t72Uris5WozBonQ2jNydcqXUhdgpPTs81mesfYhPm7snliAMv3JVVbW+dBjZUlttkEJw295uRBJiYmDbJdWBAaWv9RlYvSzh3SDlAkEugxyE1zXni8KJVKDhw4UGO7Z599tlF/EdO3xRXg5s1fuXRJe4traamS7OxyXFzMsLBQ91GBsmIHtrbdeFhDbXFtacL8XRns58Kp9FtE/DuO3Hv6y5BIABc7S57wNGzdYl01m+CkodecCEJL0X+UN33CO/Ht1nuwpzIoeXGamMpp6ar6oge4evWqVnmK8vJycnNzkcvlWjvZMjIy9G6Bb6gv+vrZ4jql2rP1vcW1JTI1kdDf24H3RnXj1R1xVW59Xjrcr1HWm0AzCk4EQTCcmZkJnftU5nLp3MdVBCaPgfr4ov/888+rPV/fX/T6trhC5ZqT+PjJlJffX/uXlVXKmjU3WLjQkQ4d7icG8/VdrXfkRN3f+t7i2pKF+buyaXwA8zZf5sEk9S52liwd7keYv2uVz61vIjgRhBZIqVSRk1n5gz0nMx9lT5VIWd/CVfVFD5UjJ9HR0ZrHN2/eZM+ePYwcORIHBwfN8eeee4527fQvdmyIL3p9W1zV2rt9SGLibJ3jHTpY4O1TWbhSKnWlf7+JYs1JPYlJVLByfxJ5D0zttLY2Z/GwLo0amIAITgShxUmPz+H4zjRS0ip/kz7ydQrZv5kzYIw3nXoZXw0SoX5U90Xfs2dP0tLSdLa4Ozg4aLIl29raMmzYMKNZ/O/sNJR8t9/JurK1ihYSo80O2xxVVWfnTlEZEf+OZ7OJpFEDFOP4FBpg06ZN+Pn5aerICIKgKz0+h5gtiRTlai8mLMotIWZLIunxxle9VWh46txI1WmqPE7V8fZ+G/+un2Bubq91XCp1pZv/JqPODtucVChVLN+XpDffifrY8n1JVCgbL/OIcX0SqxEREUFSUhJnzpxp6q4IglFSKlUc35lWbZtfdqWhbMQfMILx8PPzY/To0Tr5JWxtbY2ups6DnJ2HMOBvp/H1rSxC6uu7mv79jorApB79lnG72q3EKkCRV8xvGVWVMax/YlpHEFoIRVquzojJwwrvlKBIy6VdZ/tq2wktkzqP0/79+/n888957rnnjGoqpyoSialm0autbTcxlVPPcgoMy3FiaLv6YNyfSMGohISEMHfu3KbuhlCFovzqA5PathNaJhMTE82i13bt2hl9YCI0PEMTqzVWAjYQIydCLezZswdzc/Om7oZQBWtbab22EwTh8VBTnZ3GTsAGYuREL5Wqgjt3TpGd/T137pxCpRJVXAFat24tEhoZMedOdtRU6FQiqWwnCIKgZmoiYenwyjVHxpCADZpRcNJYu3Vycg5w4uRA4uIn8EfS68TFT+DEyYHk5NSc+rkuSkpKmDNnDk5OTlhaWvK3v/1Na/HvH3/8wbBhw7C1tcXGxoYBAwaQnp6uOf/VV1/RpUsXLC0t8fX15dNPP9W6/ltvvYWPjw9WVlZ07NiRxYsXU1Z2fy/7smXL6NmzJ9u3b8fDwwM7OzvGjh1LQUGBps3D0zo7duwgKCgIGxsbXFxcGD9+PDk5YjdIU7menkdNZTxVqsp2giAID6pMwNYLe2vt0XEXO0s2Twxo9DwnzSY4aYzdOuoS3Q8XnCopuc75xIgGDVAWLFjA7t272bZtG3FxcXh5eREaGsrt27e5evUqAwcOxNLSksOHDxMbG8vUqVMpLy8HYOvWrSxatIjVq1eTnJzMu+++y+LFi9m2bZvm+jY2NkRFRZGUlMSGDRvYunUr69ev1+pDeno6e/fuJTo6mujoaI4ePcp7771XZZ9LS0tZuXIl586dY+/evWRkZDBlypQGeX+Emok1J4IgPKrKBGzJ3C66/0urtdSURUMaPwEbiDUnGipVBalpK6DKnd4SUtNW4ug4qN5XihcVFbF582aioqIYMqSy/PfWrVs5ePAg//znP7lz5w52dnZ88803mjUfPj4+muevXLmSdevWMXLkSAA8PT1JSkpiy5YtTJ48GYB33nlH097Dw4M33niDnTt3smDBAs1xpVJJVFSUZupm0qRJ/PTTT6xevVpvv6dOnar5/44dO/Lxxx/zxBNPaKo5C41LrDkRBOFRVJWAraikglnfxHP+Wi4LhzbuVnMRnPyl5hLdKkpKFOTmnsHe/sl6vXd6ejplZWX0799fc8zc3JwnnniC5ORksrOzGTBggN7FqDdu3ODKlSu89NJLWjU1ysvLtQok/ve//yUyMpKLFy9SWFhIeXm5Tr4DDw8PrTUlrq6u1U7TxMfHs2zZMhISErh9+zZKpRKArKwso82Z0JK5esuxlkur3U4ss5fi6i1vvE4JgmDUqkvAprblWAY92tsztLvIENvoSkoMWythaLvaUP21UEDy0GpGlUqFRCKhVatWVT5XHRBs3bqVhIQEzZ/ExEROnToFwKlTpxg7dixDhgwhOjqa+Ph4Fi1apFN99OHgRyKRaK7/sKKiIp599llkMhk7duzgzJkzfPfddwB6q5oKDc/ERMKAMdXXPvnbaG9RY0cQBI2aErCpLf7fRJEhtilIpYbVHDG0XW14eXlhYWHBL7/8ojlWVlbG2bNn6dKlC927d+f48eNaC1jVnJ2dadeuHZcuXcLLy0vrj6enJwAnTpzA3d2dRYsWERQUhLe3N5cvX65Tn1NSUrh58ybvvfceAwYMwNfXVyyGNQKdejkRNsMfa7n21I3MXkrYDH9RW0cQBC2GJla7VVQqMsQ2Bbm8N1KpCyUl19G/7kSCVOqCXF7/u4Wsra159dVXmT9/Pq1bt6ZDhw6sXbuWu3fv8tJLL6FUKtm4cSNjx45l4cKF2NnZcerUKZ544gk6d+7MsmXLmDNnDra2tgwZMoSSkhLOnj3LnTt3mDdvHl5eXmRlZfHNN9/Qu3dv9u/frxnleFQdOnTAwsKCjRs38sorr5CYmMjKlSvr6R0R6qJTLyc8ezjy494y3t8DIRN8eXZEPzFiIgiCjtokVhMZYpuARGKKj/cS9aOHzwI0aAXM9957j1GjRjFp0iQCAgK4ePEiBw4cwN7enjZt2nD48GEKCwsJDg4mMDCQrVu3aqZhXn75Zb744guioqLo1q0bwcHBREVFaUZOwsPDef3115k1axY9e/bk5MmTLF68uE79dXR0JCoqim+//RY/Pz/ee+89Pvzwwzq/D0L9MDGR4ORRuabIycNWBCaCIOj1hGdrrCwMCwUcrBtvMb1EpaopM4Jx2LRpE5s2baKiooLU1FTy8vJ0FnQWFxeTkZGBp6cnlpaPlmY3J+cAqWkrtBbHSqWu+HgvFoWmhEZV189zXFwcgYGBxMbGEhAQ0AA9FJqr5vjZEH1uGBVKFd2XxVBUen99YUn2RbK3zcVlciRSFy/N8a9f7kN/L4dHvld+fj52dnZ6v78f1mymdSIiIoiIiNC8uIbi5BSKo+Ogv3bv5CCVOiGX9xaFpgRBEIQW5e7du+w6eIrbWalax8tuXdH6r9rpM6b0ajsQKyurBu9bswlOGpNEYlrv24UFobEolSoUablc/uOm5rEgCMLDUlJS+MeIZ6o8fyt6ndbjN7ZBSCONAongRBBakPT4HI7vTKMot4QrNy4BEP3JOexfcxM7dQRB0OLr68tXe39i4XfntY6rykspz7uOmZ0zEjMLAOStzPnXS33w9fVtlL6J4EQQWoj0+BxitiTqHC8uKCVmS6LYSiwIghYrKysmDX+KLUkq3Vwn7bUTaa4bH0BvkYRNEITaUCpVHN+ZVm2bX3aliSkeodnLzz8vKsbXI3VF4ur2880Y6Nmo2WFBjJwIQougSMutNm09QOGdEhRpubTrbN9IvRKE+qFSVfDnn98AkJKyiApl5ZZWqdQFH+8lYidlHYX5u7J5YgDL9yVpjaC0tjZnVbg/Q7u3bfQ+ieBEEFoAUZFYaKlycg6QkvI/XLt2XeecumJ8N/9NIkCpozB/Vwb7ufBbxm1yCopxsrHkCc/WmDZRjiQRnAhCC2Als6jXdoJgDHJyDnA+MQL9WbuhoSvGP25MTST07dSmqbsBiDUngtAiqAz85cbQdoLQ1FSqClLTVlB1YKJpqakYL7QcIjhpATw8PIiMjGzUe0ZFRSGXyxv1no3h7t27jBo1CltbWyQSCbm5uXrbZWZmIpFISEhIaNT+VeVegWGVoA1tJwhNrTIRZnbNDf/SEBXjhabTbKZ1HkxfLwgNZdu2bRw/fpyTJ0/i4OBQZTZiNzc3FAoFDg6Pnsq5PlnbGlbzwtB2gtDUahtsNETFeKHpNJuRk4iICJKSkjhzpuGH7ipUKk7cKeC763c4caeAiuZRfqhFKCsra9L7p6en06VLF/z9/XFxcUEi0Z0HKS0txdTUFBcXF8zMjCO+d/WWYy2vPvCQ2Utx9ZY3TocEoY5qE2xIpa4NUjFeaDrNJjhpLPtv5BL0axKjEtJ5NekyoxLSCfo1if03chvsnv/973/p1q0brVq1ok2bNgwaNIiioiIAQkJCmDt3rlb7ESNGMGXKFK1jBQUFjB8/HplMRtu2bdm4cWO19ywtLWXWrFm4urpiaWmJh4cHa9as0Zz/6KOP6NatG9bW1ri5uTFz5kwKCwt1rnPgwAG6dOmCTCYjLCwMhUKhOXfmzBkGDx6sGYEIDg4mLi5O6/kSiYTPPvuM8PBwrK2tWbVqFRUVFbz00kt4enrSqlUrOnfuzIYNG7SeN2XKFEaMGMGHH36Iq6srbdq0ISIiotrgJj09nfDwcJydnZHJZPTu3ZtDhw5pzoeEhLBu3TqOHTuGRCIhJCQEqJw2W7VqFVOmTMHOzo5p06bpndb5448/GDZsGLa2ttjY2DBgwADS09MNfi/qwsREwoAx3tW2+dtob1GdWGg25PLeSKUu6FaJ19WQFeOFpiGCkwfsv5HLy4mZKEq0v+CyS8p4OTGzQQIUhULBuHHjmDp1KsnJyRw5coSRI0dS22LRH3zwAd27dycuLo6FCxfy+uuvc/DgwSrbf/zxx3z//ffs2rWLCxcusGPHDjw8PDTnTUxM+Pjjj0lMTGTbtm0cPnyYBQsWaF3j7t27fPjhh2zfvp1jx46RlZXFm2++qTlfUFDA5MmTOX78OKdOncLb25uhQ4dSUFCgdZ2lS5cSHh7O+fPnmTp1Kkqlkvbt27Nr1y6SkpJYsmQJ//M//8OuXbu0nvfzzz+Tnp7Ozz//zLZt24iKiiIqKqrK11xYWMjQoUM5dOgQ8fHxhIaGMnz4cLKysgDYs2cP06ZNo2/fvigUCvbs2aP1/vr7+xMbG8vixYt1rn316lUGDhyIpaUlhw8fJjY2lqlTp1JeXl6r96IuOvVyImyGv84ISitbC5EdVmh2JBJTfLyXqB9V1YoObtPENuKWSNXM5OXlqQBVXl6ezrl79+6pkpKSVPfu3av1dcuVSlXPE4kq58Pxev+4HI5X9TqRqCpXKuvjZWjExsaqAFVmZqbe88HBwarXXntN61h4eLhq8uTJmsfu7u6qsLAwrTZjxoxRDRkypMr7zp49W/X000+rlAa+nl27dqnatGmjefzVV1+pANXFixc1xzZt2qRydnau8hrl5eUqGxsb1b59+zTHANXcuXNrvP/MmTNVo0aN0jyePHmyyt3dXVVeXq459uKLL6rGjBlj0OtR8/PzU23cuFHz+LXXXlMFBwdrtXF3d1eNGDFC61hGRoYKUMXHx6tUKpVq4cKFKk9PT1VpaalB99X3XjzsUT/PFRVK1Z8pt1V7/nVABajOnDlbq+cLLZ/6505sbGxTd6VG16/HqI4cDVBt3txOBag2b26nOvRTx7/+dFId+qmT6vr1mKbupl7N6X1uDNV9fz9MjJz85VRuoc6IyYNUwLWSMk7l6k5t1EWPHj145pln6NatGy+++CJbt27lzp07tb5O3759dR4nJycD8MorryCTyTR/oHJaJCEhgc6dOzNnzhx+/PFHref//PPPDB48mHbt2mFjY8Pf//53bt26pZlugsq6DJ06ddI8dnV1JSfn/iK2nJwcXnnlFXx8fLCzs8POzo7CwkLNSIVaUFCQzuv57LPPCAoKwtHREZlMxtatW3We17VrV0xN7w/lPnz/hxUVFbFgwQL8/PyQy+XIZDJSUlJ0rquPvj4+KCEhgQEDBmBubq73vKHvRX0wMZHQrrM97l0dNI8FoblydByEqallFWcrR5hT01aKVPYtjAhO/pJTWl6v7QxlamrKwYMH+b//+z/8/PzYuHEjnTt3JiMjA6icXlE9NMVj6KJR9WLOFStWkJCQoPkDEBAQQEZGBitXruTevXuMHj2aF154AYDLly8zdOhQ/P392b17N7GxsWzatEnn3g9/EUskEq2+TpkyhdjYWCIjIzl58iQJCQm0adOG0lLt7azW1tZaj3ft2sXrr7/O1KlT+fHHH0lISOAf//iHzvP03V+pVFb5fsyfP5/du3ezevVqjh8/TkJCAt26ddO5rj4P9/FhrVq1qva8oe9FfVAqVVy9cIfLf9zUPBaE5qrmLcUiz0lLZBxbDYyAk4Vhb4Wh7WpDIpHQv39/+vfvz5IlS3B3d+e7775j3rx5ODo6ai0yraioIDExkaeeekrrGqdOndJ5rC5t7eTkhJOT7noDW1tbxowZw5gxY3jhhRcICwvj9u3bnD17lvLyctatW4eJSWX8+vB6D0McP36cTz/9lKFDhwJw5coVbt68adDz+vXrx8yZMzXH1AtL6+L48eNMmTKF559/Hqhcg5KZmVnn6wJ0796dbdu2UVZWpnf05FHfi9pKj8/h+M40inJLuHLjEgDRn5zD/jU3seZEaJYM3VIs8py0LGLk5C9PymW4Ss2rWXYFbaXmPCmX1et9T58+zbvvvsvZs2fJyspiz5493Lhxgy5dugDw9NNPs3//fvbv309KSgozZ87UmxjsxIkTrF27ltTUVDZt2sS3337La6+9VuV9169fzzfffENKSgqpqal8++23uLi4IJfL6dSpE+Xl5WzcuJFLly6xfft2Pvvss1q/Ni8vL7Zv305ycjKnT59mwoQJNY4wqJ939uxZDhw4QGpqKosXL66XLeReXl7s2bOHhIQEzp07x/jx46sdaamNWbNmkZ+fz9ixYzl79ixpaWls376dCxcuaO79KO9FbaTH5xCzJVGnAGBxQSkxWxJJjxc/vIXmx9AtxSLPScsigpO/mEokrPJuB+iuC1c/XundDlM9eS/qwtbWlmPHjjF06FB8fHx45513WLduHUOGDAFg6tSpTJ48mb///e8EBwfj6empM2oC8MYbbxAbG0uvXr1YuXIl69atIzS06hXsMpmM999/n6CgIHr37k1mZiY//PADJiYm9OzZk48++oj3338ff39/vv76a61txob68ssvuXPnDr169WLSpEnMmTNH7wjOw1555RVGjhzJmDFj6NOnD7du3dIaRXlU69evx97enn79+jF8+HBCQ0MJCAio83UB2rRpw+HDhyksLCQ4OJjAwEC2bt2qGUV51PfCUEqliuM706pt88uuNDHFIzQ7paU1r8ETeU5aHonq4QUNRi4/Px87Ozvy8vKwtbXVOldcXExGRgaenp5YWla1gKp6+2/k8k7aVa3FsW2l5qz0bscwR3ldui4ItVKbz/PVC3fYuz5e69iVG6m8v+dV3hq5GTdHHwBGvN6Ldp3tG6zPQvMQFxdHYGAgsbGx9RagNwSVqoITJwdSUpJNWmoJr756lc2b2+Hto71d3t9/I85OQ5uol1VrLu9zY6nu+/thYs3JQ4Y5yglzsONUbiE5peU4WZjxpFxW7yMmglCfivJLam5Ui3aCYAwMra9jYd66EXojNCYRnOhhKpHQ396mqbshCAYTtXWElujGjUM1N0Ishm2JxJoTQWgBRG0doaVRqSrIvv6/BrUVi2FbniYLTu7evYu7u7tWunNBEB6NqK0jtCR3797l6NEdJP2hIC21hLTUErKyKnMCZWWVao6lpZaQcUnKpUum3L17t4l7LdSnJpvWWb16NX369Gmq2wtCi6OuraPOc6ImausIzU1KSgpPPTVF77k1a248dOQq8IRYdNrCNElwkpaWRkpKCsOHDycxMbEpuiAILVKnXk549nBEkZbL6VNlsAe6hbTH0socpVIlRk6EZsHX15eff44iJWWR5lhJqZLr2eU4u5ghtTB5oO1qbG27aZJOCi1Drad1jh07xvDhw2nbti0SiYS9e/fqtPn000812x8DAwM5fvy41vk333zzkfJmCIJQMxMTCcV3y/j956sA/Pb9Jfauj+df/3NSJGITmgUrKyuCgyfi380dbx9LvH2k+Pu34plBNvj7t8LbR4q3jyX+3TwIDp5IQEAAVlZWTd1toR7VOjgpKiqiR48efPLJJ3rP79y5k7lz57Jo0SLi4+MZMGAAQ4YM0RQ4+9///V98fHzw8fGpW88FQdBLnSm2uEC7bk9RbonIFCs0GxKJKT7eS9SPHj4LgI/3YiQSU4SWp9bTOkOGDNFkL9Xno48+4qWXXuLll18GIDIykgMHDrB582bWrFnDqVOn+Oabb/j2228pLCykrKwMW1tblixZovd6JSUllJTcnz/Pz8+vbZcF4bFhaKZYzx6OYopHMHpOTqF0899EatoKrXwnUqkLPt6LcXKqOgu20LzV65qT0tJSYmNjefvtt7WOP/vss5w8eRKANWvWaKZ0oqKiSExMrDIwUbdfvnx5fXZTEFqUu3fvkpKSAkBOZj4paZX/n30nS+u/Gjfgx71lDAx7QgyFC0bPySkUR8dBfyVky0EqdUIu7y1GTFq4eg1Obt68SUVFBc7OzlrHnZ2dyc6uOcufPgsXLmTevHmax/n5+bi5udWpn4+zkJAQevbsSWRkZFN3RagnKSkpBAYGVnl+28+667ve34PY3SA0GxKJKfb2TzZ1N4RG1CC7dSQPpXpXqVQ6xwCmTJlS47WkUilSqZRNmzaxadMmKioq6qubVapQqvgt4zY5BcU42VjyhGdrTMUQuJbS0lIsLCyauhsaxtafxuTr60tsbCxQOXJy5OvKkZOy8lJuFWTTxsYFczPt9yZkgq/Y3SAIgtGq1yRsDg4OmJqa6oyS5OTk6Iym1FZERARJSUmcOXOmTtepSUyigr+9f5hxW0/x2jcJjNt6ir+9f5iYREWD3G/fvn3I5XKUSiUACQkJSCQS5s+fr2kzY8YMxo0bp3l88uRJBg4cSKtWrXBzc2POnDkUFRVpzn/66ad4e3tjaWmJs7MzL7zwAlAZDB49epQNGzYgkUiQSCRkZmYCkJSUxNChQ5HJZDg7OzNp0iRu3rypuWZISAizZs1i3rx5ODg4MHjwYI4cOYJEIuGnn34iKCgIKysr+vXrx4ULF6p9zVevXmXMmDHY29vTpk0bwsPDNf1Q32vu3LlazxkxYoRWMOvh4cGqVauYMmUKdnZ2TJs2DYDdu3fTtWtXpFIpHh4erFu3Tus6Hh4erFy5kvHjxyOTyWjbti0bN27UapOXl8f06dNxcnLC1taWp59+mnPnzlX7mpqSlZUVAQEBBAQE8OyIYHy9u+Hm6ENHV396+wyio6s/bo4+mj9dfLrx7IhgMaUjCA2s4q+6uodv5XPiToHmsVCzeg1OLCwsCAwM5ODBg1rHDx48SL9+/erzVg0iJlHBqzviUOQVax3Pzivm1R1xDRKgDBw4kIKCAuLjKyvKHj16FAcHB44ePappc+TIEYKDgwE4f/48oaGhjBw5kt9//52dO3fyyy+/MGvWLADOnj3LnDlzWLFiBRcuXCAmJoaBAwcCsGHDBvr27cu0adNQKBQoFArc3NxQKBQEBwfTs2dPzp49S0xMDNevX2f06NFafd22bRtmZmacOHGCLVu2aI4vWrSIdevWcfbsWczMzJg6dWqVr/fu3bs89dRTyGQyjh07xi+//IJMJiMsLIzS0tIqn6fPBx98gL+/P7GxsSxevJjY2FhGjx7N2LFjOX/+PMuWLWPx4sVERUXpPK979+7ExcWxcOFCXn/9dc1nVqVSMWzYMLKzs/nhhx80Ux/PPPMMt2/frlX/moLIFCsYQv3LUFpaGhkZGZrHQv3ZfyOXib9fAmDNJQWjEtIJ+jWJ/Tdym7ZjzUStp3UKCwu5ePGi5nFGRgYJCQm0bt2aDh06MG/ePCZNmkRQUBB9+/bl888/Jysri1deeaVeO17fKpQqlu9LQl9cq6Jy49ryfUkM9nOp1ykeOzs7evbsyZEjRwgMDOTIkSO8/vrrLF++nIKCAoqKikhNTSUkJASo/GIdP368ZmTB29ubjz/+mODgYDZv3kxWVhbW1tY899xz2NjY4O7uTq9evTT3srCwwMrKChcXF00fNm/eTEBAAO+++67m2Jdffombmxupqamabd9eXl6sXbtW00Y9QrZ69WpN8PT2228zbNgwiouLsbS01Hm933zzDSYmJnzxxReaqb6vvvoKuVzOkSNHePbZZw1+755++mmt8gcTJkzgmWeeYfHixQD4+PiQlJTEBx98oDXq0r9/f82ibR8fH06cOMH69esZPHgwP//8M+fPnycnJweptLJWzYcffsjevXv573//y/Tp0w3uX1OpKlOszF7K30Z7i0yxj7mkpCT+/e9/A3D48GGSk5OxtbUlLCwMPz+/Ju5dy7D/Ri4vJ2ZSWlqudTy7pIyXEzP5wt+DYY7ypulcM1Hr4OTs2bM89dRTmsfqxaqTJ08mKiqKMWPGcOvWLVasWIFCocDf358ffvgBd3f3OnW0odec/JZxW2fE5EEqQJFXzG8Zt+nbqU293jskJIQjR44wb948jh8/zqpVq9i9eze//PILubm5ODs7a9YHxMbGcvHiRb7++uv7fVOpUCqVZGRkMHjwYNzd3enYsSNhYWGEhYXx/PPPVzuEHxsby88//4xMJtM5l56erglOgoKC9D6/e/fumv93dXUFKqfyOnTooPdeFy9exMZGu+pzcXEx6enpVfZRn4f7k5ycTHh4uNax/v37ExkZSUVFBaamlav7+/btq9Wmb9++mgXCsbGxFBYW0qaN9t/xvXv3at2/pvRgptii/BKsbSuL/okRk8dbUlISu3bt0poGhsqNBrt27WL06NEiQKmjCpWKd9KuVvuL7uK0q4Q52GGqZy2mUKnWwUlISAiqGubNZs6cycyZMx+5U/pEREQQERFBfn4+dnZ29XptgJyCqgOTR2lXGyEhIfzzn//k3LlzmJiY4OfnR3BwMEePHuXOnTuaUQmoHI6dMWMGc+bM0blOhw4dsLCwIC4ujiNHjvDjjz+yZMkSli1bxpkzZ5DL5Xrvr1QqGT58OO+//77OOXWwAWBtba33+ebm5pr/V4+GVDVMrFQqCQwM1Aqu1BwdHQEwMTHR+YyVlZXptH+4P/oWXtf0WdXXb1dXV44cOaLTpqr3z1iZmEho19m+qbshGAmlUklMTEy1bWJiYvD19cXERBSsry31lv6E/CKyLvwJQHlWhtZ/1S4D20pvM/aJQLH2qwpNVvjP2DjZ6E5B1KVdbajXnURGRhIcHIxEIiE4OJg1a9Zw584dXnvtNU3bgIAA/vjjD7y8vKq8npmZGYMGDWLQoEEsXboUuVzO4cOHGTlyJBYWFjqjTwEBAezevRsPDw/MzBr2IxEQEMDOnTs1i031cXR0RKG4v76noqKCxMRErRE7ffz8/Pjll1+0jp08eRIfHx/NqAnAqVOntNqcOnVKMzIVEBBAdnY2ZmZmeHh41OalCYJRUn9pXr16VbNYXb3Y/cFF7wAKhYL9+/fzzDPPiC/NWqpuS3/+u4t0jr0E9BTb+avUbIKThp7WecKzNa52lmTnFesdjpMALnaV24rrm3rdyY4dO9iwYQNQGbC8+OKLlJWVadabALz11ls8+eSTREREMG3aNKytrUlOTubgwYNs3LiR6OhoLl26xMCBA7G3t+eHH35AqVTSuXNnoHK3yunTp8nMzEQmk9G6dWsiIiLYunUr48aNY/78+Tg4OHDx4kW++eYbtm7dqvXFXlcTJkzggw8+IDw8nBUrVtC+fXuysrLYs2cP8+fPp3379jz99NPMmzeP/fv306lTJ9avX09ubm6N137jjTfo3bs3K1euZMyYMfz666988sknfPrpp1rtTpw4wdq1axkxYgQHDx7k22+/Zf/+/QAMGjSIvn37MmLECN5//306d+7MtWvX+OGHHxgxYkSVU1uCYKyq+9Lcs2ePzrHPP/9c5MB5BOot/Qn5Rcz/a+REVVpCRfY1TF3aIrGQarX/oHN7sZ2/Gs0mOGnoaR1TEwlLh/vx6o44JKAVoKgnCpYO92uwfCdPPfUUcXFxmkDE3t4ePz8/rl27RpcuXTTtunfvztGjR1m0aBEDBgxApVLRqVMnxowZA1ROPezZs4dly5ZRXFyMt7c3//nPf+jatStQWXRx8uTJ+Pn5ce/ePTIyMvDw8ODEiRO89dZbhIaGUlJSgru7O2FhYfU+vGtlZcWxY8d46623GDlyJAUFBbRr145nnnlGM5IydepUzp07x9///nfMzMx4/fXXaxw1gcpRj127drFkyRJWrlyJq6srK1as0Mmn88YbbxAbG8vy5cuxsbFh3bp1hIZWpsGWSCT88MMPLFq0iKlTp3Ljxg1cXFwYOHBgnbfDC0JTUH9pXr16lejoaADKy8vJzc1FLpfrjJY+99xz4kvzEai39PdQqdhokUR2SVnl94h/T612EsBVas7kvn5izUk1JCpDJ+WNhDo4ycvL05kWKC4uJiMjQ1MR+VHEJCpYvi9Ja3Gsq50lS4f7EebvWs0zhebAw8ODuXPn6uRRMUb18XkWBDWlUklkZGS19clsbW2ZO3euWHNSR+rdOqD/F93HdbdOdd/fD2s2IyeNJczflcF+LiJDrCAILYqJiQlhYWHs2rWryjYNMVr6OBrmKOcLfw/eSbuKouT+Yn5XqTkrvds9loFJbYngRA9TE0m9bxcWBEFoan5+fowePZqYmBitERSR56T+DXOUE+Zgx6ncQnJKy3GyMONJuUxM5Rio2QQnjVlbR2i5HkyTLwiPIz8/P3x9fbl8+TKFhYXIZDLc3d3FiEkDMJVI6G9vU3NDQUezCU4aekGsIAjC48LExARPT8+m7oYgVKlFhsrNbI2vIOglPseCIDyuWlRwos5Uevfu3SbuiSDUnfpz/GAGXkEQhMdBs5nWMYSpqSlyuZycnBygct/5w+nMBcHYqVQq7t69S05ODnK5vF6T4AmCIDQHzSY4MXRBrLrarjpAEYTmSi6Xa1WPFgRBeFy0qCRsD6qoqNBbLE4QmgNzc3MxYiIIQosikrBROcUjfrgLgiAIQvPTohbECoIgCILQ/IngRBAEQRAEoyKCE0EQBEEQjEqzWXOi3q1TXl4OUG1lTUEQBEEQjIv6e9uQfTjNbrfOn3/+iZubW1N3QxAEQRCER3DlyhXat29fbZtmF5wolUquXbuGjY2NSLAmCIIgCM2ESqWioKCAtm3b1lhostkFJ4IgCIIgtGxiQawgCIIgCEZFBCeCIAiCIBgVEZwIgiAIgmBURHAiCIIgCIJREcGJIAiCIAhGRQQngiAIgiAYFRGcCIIgCIJgVERwIgiCIAiCURHBiSAIgiAIRkUEJ4IgCIIgGBURnAiCIAiCYFREcCIIgiAIglH5/598RAG5vVIkAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "df = pd.read_csv(\"data/countries.csv\")\n", "regions = df.groupby(\"Region\")[\"Population\"].mean()\n", @@ -788,21 +504,10 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "753eda9b-bbd9-4a8e-b7b6-c71b5670eb72", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "df = pd.read_csv(\"data/countries.csv\")\n", "regions = df.groupby(\"Region\")[\"Population\"].mean()\n", @@ -893,7 +598,7 @@ { "cell_type": "code", "execution_count": null, - "id": "6c242d81", + "id": "3cb1acda", "metadata": {}, "outputs": [], "source": [] @@ -941,7 +646,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "dats0001", "language": "python", "name": "python3" }, @@ -955,7 +660,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.13" + "version": "3.9.18" } }, "nbformat": 4, diff --git a/nb03c-high-dimensional-data.ipynb b/nb03c-high-dimensional-data.ipynb index acb03eb..7ecd37b 100755 --- a/nb03c-high-dimensional-data.ipynb +++ b/nb03c-high-dimensional-data.ipynb @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "8f476e35-a0f2-4b45-98e4-128cd370a05d", "metadata": {}, "outputs": [], @@ -31,21 +31,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "07754761-4c51-4d7b-bb4a-492a86653140", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1083, 64)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits(n_class=6)\n", @@ -55,21 +44,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "d0b7ae76-5403-4dc1-b10d-9ad7202bbb99", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, axs = plt.subplots(nrows=10, ncols=10, figsize=(6, 6))\n", "\n", @@ -82,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "49776336-46b3-4954-9ab5-5575f0a36859", "metadata": {}, "outputs": [], @@ -135,21 +113,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "890707f4-e124-4a5e-abd0-14a2e21debc0", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1083, 2)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", @@ -159,25 +126,22 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "aad65e91-b032-4e53-b3c4-67e285650a80", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGFCAYAAABg2vAPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOz9d5gd13WnC78VTw6dIxo5NAAiMSeRoihSonK0RFFjWbZlW/K1J/jOWM93Nd94NOPPnvH9PB7Ld8a2ZpSDTYoSRVIkxZwJAgRApAYaQOfcJ4eqU6fS/eOgG50TGmBAvc/jx+KpU/vsqmrUXnut31pLcF3XxcPDw8PDw+OKRXyrJ+Dh4eHh4eHx1uIZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxheMZAx4eHh4eHlc4njHg4eHh4eFxhSO/1RPw8HinYRfT2Plx7HwC17GQY02ojZvf6ml5eHh4rBjPGPDwWAalrgPkD/0CR8vilAogCgQ33+oZAx4eHu9ovDCBh8cycIwidnYEXAfRF8K1TFzct3paHh4eHheF5xnw8FgGauMWojf/C6RILYUDD2AX02/1lDw8PDwuGs8z4OGxDOSqZoLbbsPXsuOtnoqHh4fHquEZAx4eHh4eHlc4XpjAw+MS4WUdeHh4vFPwjAGPdzVv1YLsZR14eHi8k/CMAY93LW/lgjyRdSDIPkRfCFvPelkHHh4eb1s8Y8DjXcvFLMgLeRRcx8YupLAKSez8OOXh0xiDHahNWxBECfCyDjw8PN5ZeMaAx7uW+RbkxUIHUz0K+eQoRrmM3bwHa8fHEPIjKAe/g5g4h1AuIpgahbFexk+9jt2yF2vnJ8AXPj9SBDQDZWgYMZ0i0dtL16FDANTW1tLW1rbq1+zpFDw8PFaC4Lqu57v0eNeT/MWfYQydRqnfCDizQgex2748+V2t4zlyr/yAQsnkpz/5CX7RYv8wPHAWNsTgX+6BbdXgOOAAqgQJHQ6MwndOQqo0/be/trty3qtDlTEAgsEgHR0dq2oQzBcWmXptHh4eHnPheQY8rihcy8ApJhcMHUx4FEb6xxgp/IAv3H0jd+24k6/v/DiYOlLvfoR0DwIC4uAhBD1JQ+02tu78KPc27IDzoYIJlNf+ATHdw51rruPrOz9OR0cH9913H4lEYlWNAU+n4OHhsVI8Y8DjikKKNRDe86EFY/lyVTNyVTOOVnHpR6NRWtauJb5vHwClOpX8oSSOlkV3CziOgb86RvOHvjTnbyb7mjDIEZwyxqXA0yl4eHisFK/okMcVhRSML72CYClH3AeCnqE80kl55AwwvT+BICm4ODBPtM0upi8IDUdOT45xKfCqI3p4eKwUzzPg8bajr6+PRCKxqmMqQ8MEtCLBJX6/1HUA9dAP2F0LQnYA/czL+Bq3ojZunrYDH/v+H0JubM4x9LOvkT/0EKWz+7Hz4zimhlq/GSJ7Vu26LheX4pnApRNSenh4LA/PGPB4W9HX10d7ezuapq3KeKIAAvD7u2BLtcyHN9xEzLZAEBY8zzGKoCURoKIBsG1cXOxiGscoIEgKdj6BqRfIZTO8+PDPMAeD7Nuzi6tufB+C4iP7/Lcp9R6qKA0lBaeYpXDkYeTwSULKqlzeLCayCcxkP3Z+DDs7etFjrvYzmcqlEFJ6eHgsH88Y8HhbkUgk0DSNH/7wh7S3t1/UWEJ+BLnjV+CUSY8M8Ppzj6ENnib50DcRAxEcszzneXYxDZKMU7+NEe0hdgC4DtZ4N6nH/mpSre8CRmoQyS7RrFoMn/wFunGcXFQg0v4eAKRIHYLsw0oP4BQz2PkEImE2xUAcfhPtdGHV0v+mZhOUut/AKeUoV3XOurblph6u5jOZylQhZUtNxEuJ9PB4C/GMAY+3Je3t7ey7SLGdMdRBtl/CLpYQAyKmDUJhDHPcQq5qZq6s2skFtZhBGu6lJQyYlVxBxyxhF5OISgDRF8QspLHKZXBsHNume3CY+poqLMtEqWkjduuXcF0HgNyL38VM9CFVtSCkU3xsIyjHfk52uGbVqiJOzSYQZAXXdablElxsRcbVeCZzIY6eINX1M690s4fHW4hnDHi8a1Fq2ohc9xlc12G0s5MH/+ZRPrjz40Q3bUSQZLQTT1e+6Lq450MHjlHEHDuHOd6DUMjjlwAEHKOA0X8UpWETwavuJvPrv8XMjuC4UHYlkiWLLTUyNW4GVQTRFyKw5ZbJuegdz+KUS8ixBtxsFgFwFT+uZa5a+p/auIXIjV9ACtdQHuo4r2WYfm1vx9RDwSy9Lefl4XEl4RkDHu8oLMvitdde44EHHuDhhx9m+/btfPGLX+Szn/3srO9OXZCdYpiDo+BGmymdebVSb6CUB1HEHD83GToI7/kIoV33oB3/NVruAKoECAJuWccpFZACUaRwDU65WNEO4GIiIYkQVlxE1wLbnHf+UqwBa9tmfnT6IT4VqAYnB6yOQG9qWETKpBDLJqWBc+g/+BOqGloJ7/nI2zL10Im3Ed2y5W03Lw+PKwnPGPB4RyEIAvF4HNXRCRnjCENvkjvRwvCJNhq3X4+wiDAQU8fOjU4uOIKsYKUGgUpqnhiqInLtp1DrN5DM5uk/1knj5kaUqhp86/YR3vcx1JYdqM3bcGU/pj1MWkvxxphGY1gg1hRBmCxHPBspGMeJ7OVs5sJnyZEBPvzZrQTcEpII4xr05pd/bzbE4PNbIarC1ioIK5DoGmLwhf187L7fJXpzFcGmrQAUDjyw/B9YhH/+/rd59P4f0PHGK7zvvbdxx0c/x+2f/E0UZWG1pBuuI7ht3yWbl4eHx+J4xoDHOwpBEIgW+9hbPkKgtUBQzlMz8DzJI03Ub7sWSZIWPN+NNBJp+8xkLH/a2JJS2fXrOaRo/YWMA0lBitSjNm4lsOlGzGQfVqIfJz+GI6nkHT+OA00h8Dk6rmUs+XqcQhJj9Ck+s77E3e99D/F4fLIPwrIxdcTx0+A6yCceRiyMIEv1/NXfP8IdTdchhWuWP+YSKXUdoKn3Md4bHmDHJoe1Yjf+8eOX7Pc8PDxWF88Y8HhHIYoiNdEAtQGBSChIvljELpfIZDI4jrOoMYASILBlfhHcVJGdNHyc9TEQC6PY+Sh2dgTXtnD0HG65gFvWUPGDJNMQgojsgG1iGfrkeK5jTy9I5LrgWIjClOOlLDEV4kGZqKATjPmoWbFQ72YAkvYgxtBprPAmDo4+gtO0a7Kj4qXA1HJIRgZRAN0SkBYoxOTh4fH2wzMGPN5x+Bq30hPexY9OH+fmWpAlEb/Pt3iIYAlMiOyszDBCfoRqHwhaGnO8B11+heRD38R1HaRoI45lgVxFb7LEA2e6+cRGh1B9CMOVcF0XK9VP7uUfztInKCdf50vbAbuM61iTvy1mBjEFk3K8+aKv43JiWRYdYzpPDgf46ZN9vK/FRvAEgB4e7yg8Y8DjHYcUb2JAbOLIYJGba0ESJYLBwKoYAxPVBfXOlymcfP78Dt4FoZKjX+o+gF1Mn294lEGSyqgEeXMcrm+EpGbjdp6hwSjh6rk59QliNkWVDwTXRhBlECXyZXAlGdc2LmoZneWJwEUSAMee95yLaXt87Ngxjhw5wnPPPcfBg/2cSli8rwUkSSIQWJ1n4uHhcenxjAGPdxSu61IoFACIRCJAHlES8a/SwiNXNSPFGpAiDYw+9Q/kC71Eq6qQa9aiNGzCTg9hF1MIsh9kBbVc4EZhkH+4U6Qr42BaNnaim/TD/xnZHyS4+x5ENTA5vqPnGTtxiMH8o6ClQRCwG3fxk84jfOY2Gdc0cXLjaKdfQI41IUVqKY+exRw7h5Ua4PWDB3jy1WMM50227LuF6z7wGd7//vejKApmso/Ms/+Ao2WwCwnsQgqxWOaru0A+/GPsHVsRfaFpxoI11k3y0f+Co2dxDW3ZOf6nTp3i5z//OU8//TS6rp9/Bu40A20pxsZc4ZSJlMhLGd7w8PCo4BkDHu84dF3HNE0kSSIcCuPz+QgGgqtiDJjJvknXPoEYmgUxQcDOjSFIKnK0DqVmHYLiw0r1I+hj+ASThqBAxgDDchCL45jj3Yi1a/Cv3YscrQcqeoTsSz9AOfkCv7UTpME3sGP1CME1fHEbSOluHBzKI51kX/wOSlUrZnoQo/8oTiGJredosVzujLl0WmW0sWP09V2P41TEkKWzr1E8/mtcPVdZSEURUQzQGgFRz2COnqV49PFpYYtyopvycAeC4sfXvAPH1JeV49/e3s5nPvMZtm3bxpEjRzh69CgwOGmgGT0HKR7+5YIFhYT8CKlHHp833TN2+1eQAtGLfrYeHh7z4xkDHu8oXNdF0zQsqxJrD4fD+Py+xT0DpRzroouXAHaM4qRrX7BKlWXRMnCNIrgOkes+gxiMAZB98buI492E2ptZt+UW3tO8DdfQsLUMjp4FBOxi6oIx0PMGpc4XEQtj1PhA0LM4gRBCYYzmEOBUFnAkGdcyKxUPsyOVHTsCODaCCxYSdrlENpNBGxycNAYEfwQ5Wo9Q1UylUFKRoq+Z+88c5a6NtyHI6qywhavnkSJ1KNVrkMJVOMnisp5HU1MTkiTR2tqKpmkcP368MlcEBMAxtMULCi2S7umaJfCMAQ+PS4pnDHi8o3Ach+HhYcbHx9E0jXC4dtE89okOhF9sX7wE8NSqhcl0lv7jnTRFmlDiNfjXX01o9z2Tbmu941nccong9juI3/bblUyEE09N2wWLsg9f0zag0qdAqmrFwUc2kSEUkZFjjZg7P85P/8ej3NBeh+SWEVQ/OA5ytIHAxhtwjALFE8+SO/kMubzOSDoLOEQiEdZu3TqZQeFv2031Pf/nZPEeY+g0briNg6PgNO1CqVs/eW0zESSF4rHHl/08ampqqKmppCweOnRoVjaH2rB50UJHS0n39PDwuLR4xoDHOw5N0ygbOq5toekaZtnEMsvzxpgnOhCKLF4CeGrVQjf6Y1IlcP0xpGg9Sv3GBePXi5X7FdQAclUTri3jk46CY+LaNk7Tbp4ZADdSh6iPgwuu6yAEYgS338HgmWMkE/dj5fNomoljV8SAoVCIdevWIYoiUNlFy1WVTIS5ivfMLJE8674e//W8x5ZCXW0N7Vs3I472TX4mRetRqpoQRGn+gkKLpHt6eHhcejxjwOMdheu62Kl+buIktVe5UMpTNi1KI2dI/OKbSMHZMWa1cQvWtg/NKgE872/MUuRXFmfXmb1zncpEJsJ8u2BRDSLKKq4/iu1yXiRnoBz8Hl/dBYJVPl/6uEh58AR2IYE5cprsUB9W/xFEI49kudjn5xEIBmhra5s0Bt5KzGQfa4d+zacbxzmXEdD0EiOnDhKyv4kcihG7/Stv9RQ9PDwWwDMGPN5RKIrCbTdfzx7jvdi37al8KElQTGAVEzBHjFmuasZpvZoxDQQ9g22lKI90Uh45MytUMFVAKBh5XBf09ChidoBMKkG3bxOoYRAllKFhxHSKRG8vXYcOnR8hApox5zGhYCDU3cA5K0XcuR8A13EQtARtERCsEgIibrkEtomjB7Eyw9TW1FDKNWG6eRwFSFWMGcu0yI0NYEhF0NJvaetfxygSsIs0+i3SfijoJYrD5yjHFITaNZVn4rEkTLtEX+o4tmsTUuO0xLcu6ZiHx8XgGQMe7zimxvVnMl+MWRw9wW/vqPx/0y7imBq+xq2zFs4JAaGZGsA3cprNVSJjPafwyZA4fY5DDz1NsgT3n4Hf2VHpAXA6/QQvDX+T8SJ0n+8p8LXdlV4Brw49wQNnvzlrPk9/UkQUKiI7LBPLAadqHYrqYudGsPUCgiQTufHzqHXrGf3+H2IiMFUj6TMSlJ79OzL1MVhBWuBqotS00f7Jf8U21+H2Gce8uP/yODXyCkcGnsB2LJrim6ct+Asd8/C4GDxjwOMdx2Kx77kQzBK1ARBcB0QZbHtO3cCEoVEaOI5rFNi2Q8EyTVB8NMl+dko+hFKWfxlpQMr0g5HnVknld0QBJ74W433/F/jCKK/9A2K6hzvXXMfXd3581u+Ev/dx0FKVOcg+RBGQFOTqukoaIyAFYgQ2XDeZjTATt2xgZIZwayJIF9H6dzVy/FfyTDxmM5bv4fTYq5TtEi4O7pTnstAxD4+LxTMGPK4InHgbvzgHH/3EDoT0KZjDqwCVRU2QfZhjXYi+MMFqEQQBtXUX4T33YCZ6KR55BLuYwnRLCIHA+cWzjBKQadqxDTlaT7KvCYMcwbVriU/pMzCx8HbLEhYgyj6sTe/lgTM/4a4dHyW6eTM5BKxkH7623Qi+MLahTS7WwpT/y7sKqcab2XX7JygffaRSGdFxKgv5hV9csALh1LDIfDn+F8u8xsYCVREvB6vRNnouamtraWtrW/Z5pl3i2NAzZLQR6iPrGc13LemYh8dq4BkDHlcEbriOA6PgBqthdnbbNByjiFNMVioRImDrWdTGzQS3vgdnXRG1bj1WbgwrNYAYjKGfeh4z0Ye/bc+C7nAz2Uf2pe/jmkZlgUTAKWtI/fu5pRmkvoPo1iBSMI5rlXFKOQb+y/uxc2OVhdoq4Udgd4OMY9tkGMLtfoniIQkn3U95pBNjqAPt2GOIgVil6FB2cFoFwpnFe6bWVYB5cvwvgoWMDTmZI7RwVuglo6+vj/b2djRNW/Wxg8EgHR0dyzYIOsf2M5A5SXWoBUX2L/mYh8dq4BkDHm9LOjo6Vne8kycqO+SpODauY0+6wid2ihNCPwJxpDNPI6YTM0SCQRDXQe06AJTyq4i2TFqX6T90CHCnCAh7yHZ30bZ2LeXRs2hHf4VTKuKapUqp3kIKuesFbmgEIT+MOV5ZfAVZwUwNYGdHKnUL7DK4LiIOYQUMBIJOCTt9Fu2NJE4hgWsUcF0HKzOEWr8RtXkrQnpssgLhXMV7lqa/GKjcwxU8EyHVjXL2OIJxPoNDlCB9DIB0ScQnTR93pbvq5ZJIJNA0jR/+8Ie0t7ev2rgdHR3cd999JBKJZV1HotDPqZGXAdjacBMjubNLOrZUJoSHhqWTK41THWrxBIge0/CMAY+3FbW1tQSDQe67775VG7MpBB/bAH98tUJQOr8jNwoUjjyCU8oRu/0rDI5n5twpLiYEnPqdk4knUKRvoogQUqAmAMOFJ+Bv/5Kv/at/S8O+u5DizQh6Hqes4UoKYjCOIUUYKJ5hy6b3Ett1zeS4brmEMXAcKzOE0X8Mc7wL3/lqgS6gNm9DCsUpvH4/5fwoiBKCqCJHaglsvYXwng8z2tnJ/X/zKHdtvA0pXDNnn4DFYv0X80wCMmyvhrmKQ1oO5Exx2rgr3VWvlPb2dvatuF306mDaBseGniGlDbG+Zg9b6q+bXPBtx5r32HKYEB4mCv3oVoHm6GZPgOgxDc8Y8Hhb0dbWRkdHx6rGcoVUN8rRn+HHIIiBIYk4JR07n6gsimZp3p3iYkLAqd95f/UGBD0zbRecTad46eWX0BKDCKKEFKpB9IeRgnFsLY0UraeYyZIugdO8l+DW90wbO7jjfeC6jH3va1jpQUTFD4oPQRRQa9bi33QDgqiQf/1+zPFuXNtE9IVRG7dWwhrF8GQFQqPnEPlDv1iwT8BczHwmE7vfb37zm6xfv37lDwaIx+M0NTVNG3e5u+p3Ot2Jw/SnTxAPNGBpMr9+9QFG9W7SRppC5gialSas1JM2dX6duHBM1Pp5NPVDqn1r8UmhecfPlofpNl5AJ0FaH0GRfFhu2RMgekzDMwY83na0tbWt6mLgGFsx2homXeHZF79bEeit20d438emucJn7hTnEwJOZeI7gc078bftmuZy7+zs5P7vvlTZmQdjiKofu6gjKD7k6hawbQTXRbcqLY2nMjXebmtpXKuErWexh/LgOijhesrj5yqLu57DMQqL3IeFKyQuxFzP5J577lnSrvpiWiS/HRgZGaGrq4s/+ZM/4XOf+xxf+tKXiEQiq9aeOVcaRzfzZHIp/v6X38K2bQQBjKJNdZtKqEoiO2JRylcqOE4c84UkyrrD6eeKJLrLc44tKbDtjjAt7UHe+/5bKds68WCjZwh4zMIzBjze9UykvU2o2id6CqgNW/Cvv3bVfkdQfLNc7lN35vP1Bhjt7OTpv36Ue/2x6edOFfe5DmrjFhBlrGQfrmVilzXcYgJB8iHIU5R4rgtzVEtcrELipaDUdWBF3oi3E4lEgpOnjqMpQwwWj9M5eIh9W9+zasZAQInQFN3EsDZMZqTEJz7+CapqYhStFJZTxnDyVG1bg1+KAGA7JkUrRVCuQhWDbPzKzcTVljnH7i8c5o3+R3h5/4vkSyl8agBJ8F77HrPx/io8rggWS6Ejft2yx1xufv58ufhOMcyRcfjV40/Qcbrzwvdtg2AuBkQruYS+yuc1dg6fkaRwbgDVzOGIEsFCBn+5jOA6lIbPMvTYt+npExjLXOhCuFjvgkvBxXgj3g64rsvw8DBHep+hqr1Ixn+cE8PPsXfLrav2G9ubbmNb4y0cNg/zBw/+3/zPP/0amdBRupOHaY1v531bv4wkXnhVP9v5PbqTh1lT1c77t/3utGNTSRT66T4zSijqA7fSRzLir5n3+x5XNt5fhccVwWIpdEJkupt1roXeKhucOvI6Z44dZOzkK4SGD2I6AoLi49Z92xGHO7Gm5OdPpPFFVRDSvehnSnO6yQ3DQJIkvvGNb0ybQ1SFaj9U+UASYVyD3vwFweLZ9HGqA5Xvba2qCCV9ImhFneNdr/Onf/s6mbKI3++ntrb2UtzWBdGSw4yMjvOfv/UTtmzfzXvb62mpClz2eawU13UpFAq89MYTnBh8AUF1cVyLklFaVTe7IAhIgowoSLgOiIKEKIiVz0QRdUYq4cQxQRDmXdgnRImJYj+O6yCIEJKrifhrMG1j1ebu8e7BMwY83pXMjFOLgdiCKXRu5sI/hfm8COM/+Bpy93H8eYfYUBe1QhHDVciLVUiKDyc7jCkIF/LzA9HJMsjKkZ+SOReY003u8/mwbXuaeFEcPYF87jkwCgimDoKA3bwHa8fHLogam/fg1G0B10E+8TDS4BsIZQ01EOeGW27nv3/pvdz3xX/BAw88cNkFeaWuA4y98COyI31sj9tUl3rQhnO4sZ2XdR4Xg23bvLr/ZfqLh5FDFulBE7ldJhQKXfLmUO2Nt9BatZ2QGl/WsQkmRIm4YDgargOy6KdoZJBFhYKRomxpnB0/QEtsKwE1Ou9YHlcGnjHg8a5jvjh17LYvz3/SZA2B+b0IVnYESmlKOTgzkEQLw6Ctkoy38v5bfpNAoLLrnVqLf6IMMriLusmnihe1jhy5IXD9YVxTxi4kUYQ0ESVB3mdhShaBmii1H/4yrmOTKPdSyHVhawJKvI7ojusxw5sQBSbV+itlpmElZFKLnuMYRfREP9lMGs10iBgaubyMM0/lx7cbrutS0HL8+vi3KQX7KY/aWGUXSZIIBoOX/PebYpuZ76k1xTYjjIzQ8eZxbv3jG7j7A3fxuU9/kVv2fhAHk77UcU6PvkqqOETZ1smbw9RvUhnRTxEijGUbqHKQ7uSb5I0kN2/4HOtqdl3ya/J4e+MZAx7vOi42Tj1fIR4rO47Z20HHK2fJ2L2EygaDZZWhcA2+TTcTDIdnz+V8GeR7dn0GuXhyyaI9tXEL/vXXUep9g/LAWaz0AMbgCcyBE9jFFI6WQxo9g5nsI/3ktyqCQD2PKKs4RpH8Kz/AV7L4yk5gkSyDhZjLsJJ8i3sZ1MYtnFa3cf/hp6gpOjTFVzyFt4RcLscTb36XfvM1pCAEAkGS5QyapjMwMEBmQ4ZQKITP53tL5nfmzBkee+1HrL1BhqZBBvU3EYR7ODVcqSeQLA7gui7VwWaKxSKFZD+htiokEfxyGMspEw/UEws04FfmT0v0uHLwjAGPdx0Xq5qfT+jnui5sy1M4/BfYdiUNMBwOs2nTJiRp7oY+E2WQnZqNUDy55DnIVc2oTVspdb8OuLiCCFYZ2yrTNzCEzy7SO/48779tBDszVEkrtEq4oohrGViZYURboMYPgn1BD7Fc0eNchhXq/IbVwMAAPT09dHV18fQbA7zYMcxHq11UVSUQCKyaAv9S89qxp3j17M+QfC5GwSEzUun3kM6kOXzoMPHcI+zbt4+dOy9/2KNUKnGo4yXOjL+GILkIoosoCtMaGYV91bTEt/H+bV/h0OE3+E+fuZFP/uoGzECCslVCVQI0RDcuKED0uLLw/go83nVcKtW8IAhEIhEURcE63wwoHA5Ru2HDJYkhTxg1+dfvxz76BHa5hGPoWKUiftEk7ObQ9v8USQngW7sXO59EbdxCYOP1IAj0Dw3zqx/9BZ88n7K4lKZEM3sXLNewGhoa4sCBAzz55JOcOXOG4eFhqHZRVIVQMLRkY+CtrE1g2iX29z9A3hqjlHNxbFAjLlJRoJDPMzp6Cln7JfHa8GU3BkqlEv/j7/+Ol7seJOckyI2amBvLZLIZjg4+Pa2RkSCIyJKCLKo4FoiijCyqmKKBLCgLChA9rjy8vwQPjyUyoS4H8Kk+wCCfy5Pq7Jz0FKwmE0aNfuo5XLuMa+pYqX4igo4MxIQixqmnkQMR1JadSJE6lJo12MUUSBJ2Q2WhEoffpDwSx3WsaVoIXJfyUAeuaSCGqgkMniSw6YY55wBzGFalHOWRzmkLdl1dHdu3byeXy1FdXU1NTQ2icQC/30cofN4YWCwFc/QEqa6fvWW1CTrH9kMwT4QoqhTEQidW7TLgz9DasJ4Nt7ZRX9PM5s3Nl2U+EwwMDHDmzBleePPnmNXjaMMuVtmlUCxyqvcQQ+kztNRvQKmau5FRa3A3azY2opVzBNXoggJEjysPzxjw8FgGrutimubk4h8IBGhobb04z0Apx7poZdHWThfm3gWLIg4iOUshqUNNUMby16DUbUCwSjhGYVLoaBeSOFoaVa3nN7aAcvJh9KhI5IbfmNRClIdOoXW+CIiVGkV6FqP/+CxjYD6uqgH10A9Inw1MW7Cr93yKLVu2EAwGCYVCKHqCawrQQA5VaEIQpUW9EYJZWpXaBCvxLkw0BfL7Q7SpV5FTE+TKYziSytlcGnWTSG20hfp4K7HQ/B0qLwX9/f28eODXjJmn8BUFEmcdfFUupXKRZLGfbDZCq3otatvcxkCVbw1b6t/aPgweb188Y8DDYxnYto1lWZNhgmAwSFtb24qNgVLXAdRDP+CL7aAc+znZ4Zo5d8Gi7KesxngjGyesD1MdllHr1hF7/x8hy9N316XeI2gnnsK1ZDQLsC3c89kMk1oIx6HUtR8hHoHzbZoRhSUvoAEZ0JIQaZ62YMdjMWKxGOvXr6dQKJDqPEDAAFWwkR0DQVZnt0ie2VY53kZ0y5aLqpS4ksqHUxsG7W27k1s3fZ4Xz/2UzuH9BOwGXs6fRpJFqsONfPiqP0KR1WXPayVMdBzszR0iob5JqEZk+LRO9+EC7XeGUcIOgmpx3db3cfeez3FWe+6yzMvj3YVnDHh4LBHHcRgeHCCfzTCx/CqKTDgYgAVS5kQBcKwLH0xxkztGEbQkIuAqflzLnNwFTxX7uaKE7oh09I1zbaCS4harqSXcfhuunp22gAfWXY2/bTeJ/jGSP/oZuLNDGHNpAczxHlKP/dWSFtCeHFjbPkT86pvmXbCNksZwwSaageqGGFVrryNy02cqhpMoTkvBnIobriO4rbKDXanmYyUZJVMbBlWFmuhPn8RxLVTVR1O8iT/5v/6QbGmMeFX8shkCcKHj4JDTRbBFY5fvOtaGBNbVptHD54hU+Yn664hWBRk3T2M5FcGo6zqcHT+AYZcu21wXY6JN+GpzuVpfv5vxjAGPdyXLVc0vBSvVj3zgO9zsHuWUX8JxbeJunvjxH5MVT1H9vj+Y7fLOj/CVnaC8/m3seHiWaC+05yNY2z7EQ+ce4tOCiJ0dpTxyGu3U8+idL+NaBuVCmtGxMfRige1KiYaQiySKRKMxyj1vzFtTwdEOzXMlc2sBXMvAKSaXtICO6eC0Xo2vZcecC7aZ7GPDyNN8ek2Bo6MRdCmEppfQTj2LHIzNGR5YTVaSUTLRMMi0DY4OPgVUwkJhXxVD2dM4rs22+pvZWHf1JZv3TKZmCAiyQyCk0tqykWRLkuj6Ev3jKn6fH1/U5VT6GZJWNyE1NjnnlDZIrbnnss13Ifr6+uZsE74aXO7W1+9GPGPA413HSlTzS8E1ikilDFVigdqghG7YhCki5oew821zurwxdWoCIGaHsKXqWWWQpVAVKH7euwbEkROYdhHH1JD8Mez8GHYxhVU20XQD2SlT7XNRBHAdh6JWJKJlsTJDiErgomv/S7EGwns+NGsBnWVY4SIJgDO/aNIxikQkkzURgbGYioOIkezDVEyEmta579UqspKMkomGQVMp2wZZfZSYvx6/GmFLw/U0Rjeu+nznwrRLHBt6ZjJDIK0NE/XVUBduwyqo5ASLXMKgrkkkHmxAFlVqQ62ocnDanBX77VECer424RfLldr6erXxjAGPdx2L9SFY6UKk1q2j+X1fpumOL/HeGcfmdXlHGnm8Bz698+PEtmyZ85ypVQqRZLBtxFAVavM2ikcfxzFtBnMmzX4IKiI+yUGijD5yjtzLP8A18vh3Xo85dHLOboVLRQrGCW67DbiwgDqFJKlH/nKaYSVmB/nqLpAP/xh7x9Y5x1Jq2mi8/TdpcB02fWb+ezVVoyAOnmRtZMXTv2gmGgZN5dnO75HWhgj7ay57Tn7n2H4GMiepDrWgyH5igXpa4+3c1f57nFZOczhxiGcHXsTXXsOulvdz59bfRhLlWXN+88jRyzbnpTCzTbjH2wPPGPB41zFfBUGYf9FeCvMVI1p4MgHeGAOnZR/BrXO/ACeqFH70kzsQUifBdREUH2rLdpKHnyCfzRAMRQgGLWpkAauQRnAcxHQvxjkNQfGhy37csoagrm6pXMcycPKJaYaVkB6jNQKinqkYVnMw815NEybaJuZYF46WmRbiUNJprmlY1ekvi4mGQVNZSlOgS8FEVgPA1oabGMmdPT9HEUmUCQZCVMVr8PuDyKKKJEqTDY3eqjl7vLPx/lI83nWsaNF+C5moUugGqqZ9rtS0Eb3+swi5LL7wLhDyOKpCz5Pfp1EykUwR21dHKBw9r1J0ca0ydnYE/cwriIMniS+gc5sQcylDw4jpFIneXrrO92iY+MwOFHHqdkPsgmHVW+rl/jOPskVaS7mzd87zpwq65lP2K/UbsLMj4IJrmwiFcbZWgdj7GlpYA8vELiTP36TZmo/VKEzU0dGx4HHXqKbeuRopE+bQofk1GEsdbynYjjmZ1bC+Zg9b6q+bNAYmWLduHevWrWPvzZvJG6lpNQOW0sjIw2MmnjHg4fE2RfSFqN59J9VA8/Zryb38Q8p6gc6qNobzI2gFm8aYTaubIhAM4hQzWIUkjpbCGD6Nkk7TPFF2fsZi2tfXx472bei6zu/vqrREfm34CR48+01c4A/Of/bq0BM8cHbu+X3q//gzBP5szvP9gQuCrqnK/qLpYmTHGVd7sIUWJKkRcfwU4ngnTmaQu9rAfva/0fuyVCn/HKzGDVSROvYK/Sdfx1VCWDs/gZjpndbV0e8PULv37iUbA7W1tQSDQe67776Lf1AzCAQCDA8P09fXt6IY9qh+mpRdyWqIBxvpSR6dlSEw0WlwakOj6Up9hQJFRjk0aaCs1FC53Er9UqnE6Ogot9/xHt77kau5/Y7buO2mO1lbu+OyzeFKxDMGPN4xXMq0pAlWY2c3lSWN59gVQd4UXMfGdezJXfCEDoJimtuv3QXSXjhf+Mgc7wbXwXEsXFPHKes4I52I2RR+GRAuFPpBkgjt/jDp15/l3+3Wec8d76e6tgFBS3FXpIFvSDKuEkIoZRFzQ9y55jq+vvPjs6Ys5EeQO34FThmhrE87fzRd4ON/9hNefPFF2tvbEQoGQt0NjBcsHv3OH9MWMnl16Fc8cBaua4CPbYQtcagPgiJB17kz+CQIKTCuQ3cWpPNlHMY0+M7J/8amWOW8sg0uUBWQ+ejaq4nNuIfzZZS0tbXx1FNPcccdd1AqrW7qna7rfPjDH16xwl2zMwtmNaS0wVmdBpei1F+p4XO5lfrHjh3jxRdfxN9UJLA+ScZ/nI5Rn2cMXGI8Y8DjHcGlTkt66qmnLtlOMRgMTjM4pmIm+1AOfo+v7gKhXEQQRByjQPHII7il3GTmg1LTRuiqD2AVUzh6FhwbMVyDFIiRfel7OMU02CZStAH/+qsxug+AWSSkAJI8rTKhOd6LPNTF3nqoNUepCjRCuL5SnMgtI0fiEK3DkkoE29qI7d5VqYmg5ybd8mU9iSbmQXAhIEyeDxZCxIdPurD4RFWo9kOVDz69GW6+Zi937v4wX9/5cYTCOEKmD7nzSaSBA4BAZNMdCFoCMTdMfX0729ZPCfmIMvc27EDQUgiZPgjESb36Txx5+mcU8oVp93WxjBKfz0epVFp1dTtcnMJdFYOLZjXM7DT4blHqG4bBoUOH+MUTPya21kb2iQRC/srfmcclxTMGPCZ5OxcEudQvO5/PR0dHx2W/fscoImgpWiMg6GkQJVw9j51PVGLh5zMfyoMn0c68NC3urlS1UnYdzEQPdj4BroUcbUZt2oZjFHANh4OjQ2zd/hFiW7ZMViYUZRU3UM1oEdpa9hK7/csAWNlRtOO/xi4mkfzRaQuorWUQJAXXLFV+37WRq1oJ7f7grGsaPdtFxvguP/zhD9lR7Uy687OJEcaOvUBUMmlau5b4FEV58hdD5NKnEJUAsatuxE4PYAwFCe64lfhtv73g/T125uk57+uiGSXnebup2wv9fraFdk/77Hj6UZKlBIIvwrrquxk6m2WICxqGCQ/U2+1aloNhGPz4xz/mkV/9kox4hroqBSMjkstlIe4ZA5cazxjwAN45BUEu5cuura3tsucpKzVtWFvu5GdnfsJd2z+Cf3w/ZqIP37p9hHZ/GDEYB+auqOeYJaxkH3ZmGKesIcg+EASs9ADWeDeCkWO4eCGTQa3fhL9tN1KklrGH/pZMGdx4G8Gt7wHAGOqg1PlSRZhXSE5bQF3HAgSkYGzy95WGTZPnTsUphnHcyrPaEsiRGwIhUgO4JEVghXUQFsXUJxsn2aU8/k03TtYamMqFjJKBSzOPFTKhY/jifV+cdWzHXWHqNvpI9ZU5+uh/fgtmd2lJJBL09fXxy1/+EjeWZNu6ZvrOjlKMlchms2RzOYrFIqFQaPHBPFaEZwx4AO8eN+PbiaWo3UVfiFFdZF89pI88gRwLITg+3PEEo09/H/eFn2Ht/ASCWYm7E4gjnXkaMZ3AlupwYztQpcMIZhZsh7JeonD2GGJiGKusI4sX5uIYBQRJqSz0peys+c6XktnX28fZ44f5q//+/1C7dgufuSrGTVsbl3QPplYCHHvob1liB+NlE1NB6nuN9K/1aRkLcxkrK+Hxxx/noYce4jvf+Q733nsvX/7yl7nhhhuQ5dV7hba1tc3rnUob/eh2Dr8Upvo/rp11fOLf2WKMjIzQ2dnJhz/8Ye677z6++tWv0t7ejiStrCrnajEyMsKRI0d46eCTvOfz66mrrePgo4PUxwtk0jKpcJJ0Ou0ZA5cQzxjwmMY72c34dmKpjXL6+vr413/4+3xiHRx46ucA2M5swVxqisbta7svqPcf64GvX1sR4pUdeO7gEZ4bPMLHN0JLWEQz524JLOSHZ815rpRMLTVCzxsneeNUF6ZtowbChCdaES+BqZUA52Ku6oZaepxzB1+h0HuU137yEK+X/2/CbTu4/vrrufXWW7n++utn/45Y0VzgOhddiXECy7IolUq89tprPPvssxw6cpCN+2qIr3Ww/Zkl34PlML93avq/yYnmRbZrn08hXJoBPzAwwMGDB7Fdk8HCCR575UeE6u9lff1VFz33i6Gjo4OHH32Ipp0ypphj6IzMUIdOpKEXwzfK0JkCsdxe7r333rd0nu9mPGPA412DZVnsf/5JXnvmV5w48BIlrcDVt3+Quz/3lcu++1msUc6E1yB17GWqZIObPvM1mrfumT3QecEcogSlHIKeRnnje4jpHj4g+/lG0y6Eso7Yvx/BsVm7p5X7WvaRHOzi8LO/RFYUYkEf9tD0uSxlndTO7Wf0hR/hvHmAhsEOPtJmYUd1wuGWZd+PyqI/xePgupTHusi9+mOwzYrIDwErn0B/9n8SymcQLJ3tUYv+kUEOnJKoq6vjqqvmXrQKJtiNVxG/82sr7nQ4k2KxyMjICI888ggvv/wySfcUu+9sRGodYcw6iSh+6KJ/Y6VMNC+yHYum+GbquG7RcyzLoquri5dffpmGrTJuwwCnc09zfLjpLTcGLMuCSJrqOoVC0sRI5KheK1FTX0V9fZQ1VZsJt5jo5RwB9dKVsb6S8YwBj3cNetfruK/+L9pGOwn7BtEdHavvIEeP3sCWLVsuqzGwUKOcqV4DZaiPD62D1oYadn3kd+Ydr3LOkzhaFj3Xi6VXRH5+qQQBASMUxilmkMQygYiKUBUH4A/+4Pdp3XED5fo65Gj9shZKLZvkxcd/wXgqQy5fIKK6+IMBwpEIglBc8r2YUPZLg4eQBXCFijAx/dhhjP6jSPHmSmVDScQt69glHccqUSqXEYBiPseZ3lNs2rSJfD4/Oe5Ur4Jhg1vVhtq4tVKfYBX40Y9+xLe+9S26u7upbQuy4321NLc2Eq+KEolE5vQMTOzYh7QOqlqVVZnHTKY2L3JxlnS9lmXxxhtv8OSTT/Lc/l+x+T1+gmEfkejc17EUZnonWuJzl6ZeCqqqEqpSMGQFHJFArMy2pjAtrVHWtWymtjFIUj7GaH7vtJRKj9XDMwY8lszEzvvhn36Pw688w7/9k3/Dht3Xs37f7W/11ABwSkWcwjhm2SBfMqFcYnxslNTx43ziE5+4rHNZqFHOVK+Bq/hRJGa4ymcz9RxBVhAECbl2LbHbKwZE7sXvUh7pBEHELiQQHAvHhSoKZF/4X4iBCP7bv7Lk+ScSCXpzAo/0SpwddLmpxiXmA8dxsW1rWW+OCWW/YOTxSYAgYaUGcR0LKVKLIKsIkowcb8UuZLBNF8Ox8IkGERlub4WqoMDeG3ezqVpGP/MKZnqQ0tnXEP1hhHIRxwUxO0jyoW+in3sN0X9xTQ5KpYpwLZlMIsqw+73NtGwJMtqTR5IEzspnsbZaszQDEzv2sewoa3b7L2oOczGzedFovmtJ15LJZPj5z39O/2Av22+tR60pIhphAgH/io2Bmd6JizEG7rrrLmo2Oxw6+wyq6gPgxz/5MbXtLbRtaCIerCegRGelVHqsHp4x4LFkjJ43iJ68n732ceobcnD0QXJSEd4mxkBozQ72fOHf0//MS1hP/i/8ZhFFVghHo5ckvrtSZorqxCVMbdo53/9DEECK1k8K5PSOZzFTAzilAnZmCDGbxSeCUBjDHLcm0+lc153urmfu1s7pdJruRJHjuQCjmsqtdRJgY1lWxaXrW/r1TggTxwZ66DveSV3T7gvpjOlB9DOv4mgZEEUENUA5k8W1bUQB/ArUhST2BsNcL3QQO9NH5qyDU8rh6HnkeBOCnsa0L1yra2jgu7hFo1wuY9s2kiTRujNE3To/DfH1HHrxScRwHaJ+FtM0pxkDU3fsjmvBJfiTm9m8aCkUCgX6+/t56KGHqN0MjRsD9HflEcISkixRLpcpl8uo6gK1q2ewEu/EQgSDQa7b9CHWxa7GdV2y2Rz/9eUHCdwcB8El4q+97I2irjS8O+uxZFyjiGxkEXEpGBb5bBrfFLftW41c1Uy0qpmaQRPz2CNkzw2hKArxePyyGgMzswgm6+tPmedCorqZmKbJk68e4fvf+y4/e+ABfvQhH2tjIjnrGPF8Fr/fj5UexEr1I6hBXNfFFQR682Ce75YoSAqOUUQ//RJWbhRBCk/bTc9s7bxx40bWrVvHXXfdxS9/+Uuyj/455vBpSiWNfC6PGwzM2S9gLgTFj3/jDbjRJlIlcKvWENh0EwgCrllCqV6D6zo4ZZ1czzF+/Z3/zfDICDsCJfwSDFoR1Lq11IR9qH4/IOBaJfzrria05x5GOzt58G8e5YPnrzX30g9wjIv7u4xEInz0ox8l3ujjpy/8F3p7e3j+gU6CtQ6SJOL3+6b9Tc3csSdTq1+vYr7mRYvx2muv8eCDDzKe76O+JoKm+xg4rqNnO0gaPfQcT0Pf+iV7z1binVgMSZIIBoOsW7uBTCZDIa8RjcRQZNVrunSZ8O6ux5JRG7cQuPY3ONnzS1L6aQxdW/VSrqtBfX09dm0d2S4BRVGIxWKXzRiYK4vAKaQvqpugIAiEioN8UDnGrhtcIpKJgErIzjP2tx9DklUEXwjXthBwsYspBC3PSHF6t0RjqAOnXMQ1iiCL03bTM1s7i6KIKIqTxhQ+kVgMDGUMjDoQQ7Mq+klztIWeWglwpjt/4ryJDIZsNkuSZv7quT8nk8nw1fM9D9y6tbS87zeJ3XgVvurGSd2D0riZ4Nb34BTDHBy9cK16x7MYQ6dXfL8n7nlDUx3xjSZ7ytsYPq3TMdxPsFYjGAyyZk3bNK/ASnbsy8G0jUWbF81HPB5n7fo17HpvI5FGm/ygyOhpg40766mpibCmupWWlqWLQi/1tcbjceLxOMeOHWM4e2ZWIyaPS4NnDHgsGaW6heq9H0D71Ru4rku5XMY0y2/1tGYxPj5OMplcNA5/KZgri+Bii+yUug4QOvUQ68VRWhogotpI2EhOCSc7gispKLXrUBo3IYgK5ng3glFkbRTEwUOUmyOojZtRatrwtWzH9IUoBlp58NzRyd30Qq2dZVlGkcAngYSBoGdAWjO7ot9MY6CUwxgcxeg7gq1nEbTyggbIhKu5paUFx3GAHKFgkKqWFnbddCeh8xkhMzUYF26+XfFUTLBEz8V8ZJ1e7ECafTtvosdOMbZXpygNEQoGaWlppid9mJbYVorl7Ip27MuhO3GY/vT8zYuGtZMogbkN3oaGBlraw6yR4pQKFgYCDZsC1DXU0thQxca1GxDimSUp9VfqnVgpUxsxeVxaPGPAY8kIgkA4HMbn86FRKR9qGGUcx0EUxbd6epPkcjny+Tyu6+L3+2loaLhk85sZEhAkZTK2n3/9/ukhghUuTno+zZtvvI6rFzHKsKUKVFGh4F/Hmts/iaL6UJu3IYgS5aFTpJ/+fxDcMlfVgnLyYfSoiFK/AUH2odS04Rg6bngNh8fAadpNcOu1i87BQGVEgy7dZign8Oe/fS/BYMXbMZchcVUNqId+QDGsVIodiRJO1VoePMe8BoggVDw569evp1AoIAp5/H4/1bW1bN68ecFskKYQKAe/R7LvkXl7EczluViIXGmcklVAlhWc6jHW3iij6TVEAjUkSz3s70lw/bpP0Z8+vqId+3LnslDzokKuRKxx7uyFjRs3kpQ2Y9Tuw7FA13Sk+iR1bX7WtmzCDmQ5nXmOunzjgkr9i/FOeLz98YwBjyXjOA7Dw8Pkcjlc16ksuGOjDA8P09zc/LYR6RUKBQqFAj7A5/NRX19/SeY2X2Gh2G1fxkz2Tcbn5XgTkj+y4sVJqtvAU+NRTvfp3FRTpi0KjiOR99UTfe/v4/dPcdU6DoIo4UoqZRuwLexCgtQjfzmtaY+YHeSru0A+/GPsHVvnnYvr2MSjYUrxGoYHfOTlakq17fg33UQwMv/8AzKgJSHSjFK7vlJnIdg2zZ0/k2g0iizLbN+2lbGRYZxyD6lUmoGjb5L40Q+4994v4PMH5v09QUthjueAeXoRLNMYCCiRyYZBo2IepziMpZWwRWOyYdB4oXfeHbsgCgxrJ9HLmxbdcS+UpmfaJTLaCKoUQJX8RPwVA2pq8yJHLmCWnDnHFkWRiD/OmuptFAoFUqU0ohEi4qtD8rlUBRsJzNH8aCaLeSemtlb2eOfhGQMeS0YQBCKRCNdccw3Z0XacsbMkkymef/55Pv3pTy9LjXypcB2bckmrqKNdABccq5KTvsp1BhYqLOQYxcn4vFMqIFe3TFucHKOIOE1HML/XQI43c0qL0FdIcPPERloAURRwbWtaq2O1cQv+tl0U+85QLPeDa+NYBk4+Ma1pj5AeozUCop6Zd6Es9R8j9+J3iA/3glwg75PZEFW4PtZH8Zm/I3DX1+Y1InpyYG37EPGrb1pybQNBEBByw9wd7WPzdpPR/ii2mac5YHNV5gXyT6WQ3/f7c547XARry53ENm+adWyhEMhCbG+6jW2NFT1D/sRPee1EgnJ9HnAJ+2t4/7bf5XD/Y3Pu2P1ShOpWhbO5F9iR37VobvxCaXqnRl5hKHcGcKkJreH97b8LwLOd3yOtDRH217Cu5m6yw3+56LX09vZwKnsa69wpqq5rRPXJRM5fy2ICvcW8E3O1VvZ45+AZAx5LRhAEgsEgu3btYrRzC2dTPSRTKc48/TR33HHHpNs4Gn1rdgYTYrWWnudJWhq260Kmn4F/+v9Qf8Ot1Nz51WW7ihdiocJCU+PzvnX7CO/58OQxu5Ai+/z/AtucV1Q3dZ6iKHL9tjV8KN7PVhVkAWRZYU0Y8o/9JXooNnmOXNWMUrsORi+UG5bC1YTa3zut58BoZyf3/82j3LXxtjkXylLXATLPf5vSuf2opQL1gkDzdbtR6tZX5mRkF9xtj+ngtF6Nr2XH/DH+ORCsEo0RBSsqIsX8jI4XqPXbxIUiTjE5rdvgVHQLnOY9c3ocVoogCEhC5RX5hc/fxxc+fx/PnP4OPck3J9XtU70HE5Rtg1SqAy1jE5SrF91xL5SmN3HMtA1cHBzXoid5BNu1yZXGJ5X2orCwoTtxLRvWb2LD+k3c88EPzbqWxZi4Vtu1yOpjuK6LKIpo5dy8rZXnYqLD4mqx2uNdqXjGgMeSsSyLNw68zlNPPUng+DHCosT48BgPvPQjOk6eQFYqnoEXXnjhLZnfRHEbnzZOEAPddoloSfL9HVjbt63IVbwQCxUWEn2hyfi82rh1WsMcY6gDveNZ7GJ6Vo78XC5tQRCIBhSq/RBVKkK+suNiZwYxx30ITuuC1ybI/lk9B5ykQ0IHcNHPvDyriZJjFHFNfXLxd4wivrV7Ce+plOBd6W57MXz161n3wd9n7RTDxdHz2FoGp5TH6D92QYcxocFw7FWfx3y0N95Ca9X2SXX7VO/BBM92fg+XE+g5m701n6IxunHe8RZK05vr2Fihl/F8L7nSOH41wo6m21hbvYvRrqVXhJzvWhZj4lqPDz3LmwO/xnYtCuUUPjk46SlZyKiY6Mq4lIZKyyUYDFJbW7vq415JeMaAx5KxUv1ETvyU7anj9JY1SuUy9arDb2+1kcXTHGUbtS3r3rL5TRS3ufnaT3HzjGOXavFaCVO7A87MkZ9rnoIgUPJVsz8bpyQkaQ5D1grik9vZfuNv4A+FkcI1s5v+CFT+25keSy51HUA99AO+2A7KsZ+THa6Z1URJbdxC7D2/Pen1MIZOozZuWbUugPMh+kKoLTsmRZnGwHGM3sPYWgaj/yiubSIF4kjxpkkNhpzMEbo0lX9nMVPdPtV7MHkNgoiACC6L7tgXStObecwwi2T0UUREUvoQASVKW/VOWuJbGeXQRV/LYgiCQLIwwJnx1zGdMi4OICy5DsDUrozDw8NkMpllz3k+4vH4ZLfHK6076mrhGQMeS6es4TMLhK0MIQyShkWtzwEfZCydeCzA1q0rL0l6sczVdQ8uKP5L5/bP20p4NZm1KM/IIpg6z5k58nOO57qkCyWOphXqfOCX4ehomjf7DrHno7/LhuYNKOnByXx+p5QHQSKmgpjqonji10Ru+I3J0INjFEFLIgKu4se1zFkd/ubyejhGkfJI54ItmWdiF9PYhSR2PoFgqqxdpErwTFGmlRvFzozg2mXs3BiuaWBrWVRFndRgiIZUKXP8NqG98Ra0cZn+N/9pwe8tlKY389hgpoOMPopplQj6YjiOjetefOW/5TCXp6I+so49rXct2bswsVDfeuutaJq26nMMBoN0dHR4BsEK8IwBjyWj1q2j+X1fpukOZ86dt3/DdSvK576ULLWV8ErjjrW1tdNePE4hOUu5f7EpbqIosmXTRnq7u6BQ+axcNkgVxrHKBq7rToZIJnULkkxIBcHUcUvFaWEEtXEL1rYP8aPTD/GpQDU4uUXn4BSSaMeewBzpnHUfZ6VXZlKVeZ9vnayf24+dG0dSxrmmYZHfmSHKFNQAavM2nLIGrotTyiMGogQ23zSpwxg920XG+O6y7umlpCm2meZgnvSAOe93FkrTsx1r1rEj/Y9TLGcRBRHD1vDJoYtu0bxc5vJiRP21bKmf3VJ6IRKJBJqm8cMf/pD29qW1Xl4KHR0d3HfffSQSCc8YWAGeMeCxZObbeb+dsbIjlIdPV+rxuy6u48z5El1pHHNiJzIhm5pLuX+xKW5uZpBbpA6qW5IMdIHjQpPf4rORBIFj/4y79l+hNF4IPbiOzWhnJyd++Us272rB17YbMRCbzDqQq5pxWq/mbAbGEwlEqUCit5euQ3O7mpWhYaRcutJq+PyVCkaRcbUH57EfIJ97DowCgqmDIDAqNEx+x8oMV7wkogyujSSwYIx/LlGmb/3VBNZfQ/71+9FOP4+oBKfpMJxipbTySrkUArTFxlwoTS9ZHKA7MUZNqJV4sJE3B55iOHcW0y7hV8JIgoLN3ELKSyXOy5tjdI9U/j6mejFsx+Lc+MEVdS5sb29n377VE3x6XByeMeDxjmI5Lztx9ARyx68QCilwXYTcMEgKqSkL38R4K9mldHR08C++eB+JsZFJY0AKVRPceiuu687ykqxUtyC5JjvWNbKtzgd3XFdJkbQrC6pcFaGqKjppqF1oF9xDvgxusBYESD3859M8ExNirgcf/BkbYvDq0BM8cPabc/7+13bD9mrozsIvuo5w91rOn/Mr+vLwsY1Qtit1FiMq7B+GDTUBwuNHwXVQm9sp9R5B0Arc3gqpJ/6aQ+bvgy88zxVHQDNQhoYR0ynscBarIYJSsJD1Eq7pkp3jGS6XSylog4VFbQul6fWnT5LVx3Bch6KZZSzfQ0YbQRIlHMeibOk4OEhTXt+X8lrC0SAJOub0YowXekgVB1alc6HHW4tnDHi8I1jJy+66hukL1dX1lb73//zz49MWvmAwyK233rps16KQH+ErO0F5/dvY8TCIIlZ6ADs3tuKQwFxMFRzOmsMUA8MupjEGT2D0HUEcG2BNGJDkOT0TE2Ku7CN/jpju4c411/H1nR+f+/df+wfEdA+3rLmOz+/8+OR/37nmOux1NyNk+hgvWEhnnyZQHOKq6h0IbVejD79AyaiEIESjjG0UqQ2IPP7gT/jOf/oJqUXaWnxtN9MMla/thrvXQsmCf/75iVnPcLlq8qmCtkvBzBDSVOZLSczqo0R9tYiCRG14DYalYdkGoiBRtnXCwRpCviqy2ii4LsliP3o5d0mvpSj3062/PMuLUTKLlWJIsh+/HLls+oWFCjR5rBzPGPB4RzDtZVfKIehphFKmUo8+VIsbn/3SFQrjCJk+zg2nePZ//Clr1qzBF4ryjd/45LSFb6GX9oKYOjUBELND2FL1qoQE5mIp4ZkJbYSdT2CXCgiCSFcObtr+EWJbtgCzPRNtbW0km5swyBFcu5b4DJfthBAy1Xf+O21txHbvItnbQHninPfcTV9fHze3t/Nbm7Xzi/erPNrzbbZXw0Thx09shOYQHE/C0/2QMZZ27ZIo8Ud/9DW+fvNvorz2D8hnn8aVfZVnuOmOyb+DeCRMo7rEQafQ1tb2lsSX50tJTGtDrK3Zzfu2fhlJlHmj7xEShT4y+giWY6KXc4TVKoJqlIw+Sl/qOAf7HuWatg9dsms52DuInpvuxbAdi5KZI6UNE/ZVr6p6YWKxz+az5JIaf/S7X+cj997GB+/5AGubN5HRh+ct0OSxcjxjwGMab+eCIG1tbdRbo+QPPTm7BPC+j897nnPoEM/+jz/F7/MRDIaIzbHwrQQ30sjjPfDp82mBU7ncqYxThXdq3Xrccg+9uYWzFBZiarfBmULI0rnXEPwXjJwJQdgnP/kpGqTCnF6GCW/CvjXXce88HoiZZB75c448/TNisRi79u0j2ddEbtCPqAQJyEWczn/Czo/jlIqI/iC6m7+kWSKryXwpiZIgI4oi6nmBXkiNE/HVMCp0Iwo2pm2QKY1hWjpBNYZpG5wafZk1VTsuWeW/ubwYQ9mzZPQxor5a/Gpk1rVcDKdGXuGN3l8xPDpEss9Arc+TUo7y8rksw+XtCII7Z4Emj4vDMwY8gJW54aMqVPuhygeSCOMa9M7RRn41C4IsVAJ4pZimyZNPPskTD93P6cOv8j//+i+oikYI1LXNubhMqOfFRCeCAG6odln591PV9+LgyUXT7ZbCTOEdA+cW/P5i6Y8zsxOmej0cQ0NUZ1eaq6utpQp1Ti9Dsm9uD8TMTISp6YrHXqudmOy0boSOUUQ78zKOnkVwAUFADMawjcKyUx/fTsxVBGh7023YrkPYX0PZ0lAlP4niACltCIBtjTcTVGNLqvw3F319fZOhBcspkzC6cFwbvxSm2rcWANeN0MyFv++8OcZI8hkMs0SNWEuV3MaYdoYhc5BDpYqOY6XetrF8D6dHX6Wg5xhPjHL6bC+RNpOSqZEtpBjJniGghmcVaPK4eDxjwANYfvxUHD0xS0VuN+/B2vGxWd9dsRt+DhYqAbxSHMchdeIFtmVepiU6TOGFb0MkClfdOWsxmZqqqAz18cmNIA0eBj6+pN+ameqopNNc07BaHpQLwrtCbv50wYV2/RNah4V0CrmXv4+tFy56tvOlfSr1GyYNFb8EUu/LJH7+H3DOhz9sI4erZZCCcdSWrZijZ3H0PNrxX8+Z+vhOYa4iQIIgcFXze9nRdGExfrbzu+zv+QWOaxH11y2pr8Bc9PX10d7ePpnvv2a3n3XXBhAlgfSAydFHZ1v2ogzb3htm620hXBeeev00VtmlYbOPRE+Zo4/8Z2Bl+f4TdQwS+X4OvHCcgjuKGNapq4mip2AsOECgClqqts4q0ORx8XjGgMcky4k5ah05ckMgRGoAAVvPEmxrWxX3+3zYpVFs6yxSjQAkcdxeUMawy2dwrCKiPM/uyLGZ1sB4xi7Ytm3Gh3oJlTJYRpmiCX5Dn9PjMNUz4Sp+FInpO+xFmOnZ8ClZfKq6qirwCeGdqqpzemQW2vVPaB2kaP0sncKEN0HveBZn6PSSygEv5IGYy8sztcOiUC4iCpW+DdkX/jcIAlIgBq6DqKgIsopdSJ2fg4OjZSvHVslj9HZhZkhhR9NtJIoDJPK9S+4rMBdT8/2bN8Y5mXkCzUoDLjW+dez5j5+cdc5Q8Tid+edxHZuIWk/k5np0K0vC6KLGt5bGf7edRK/Bl+77nWXn+3eO7efs8CGcko+RoXHqtylUhwIMnSgRrxLxhSsalJkFmjxWB88YeIcy1b23mix1F38pduiLYeVOoPf+CNetFHOxnaPgz2EbYGu9iNHts84xk30oB7/HtQ2AU1mEZu6CHUfkcE+aTK9E37jC7f4YuHPvfKde99hDf4u4zM7IM+9bsJjmm//pm/ybtXcu93bMy0R8/uPb75jzWS41O2EqC3kT5ESG6NSGlecXfDPVT/7Vn1w4x7Ewug/Sf/J5fvHIY7ySCBCOV/Pv/39/ja/7OSimp9VpEPQ0OQNcJYTgGiBIyLEGUAPg2BUvgV7pIigofvybbyR2y29etr/Ht4qm2GZu2/QF8kZqyZX/FmLz1o3kIyfx2S5rInsZzXfRXNXCvu2zDXund5DBfhVZVBGEMjoDuK7LmqoNaOUsGeUkjev3LHsOExUXdb2EPVJPrpChLVJLPBLn9RPd1HwghKC4hOQa1sX3esbAJcAzBt6BzHTvrSYLufdmxXfjzaiNm5fVle5icZ0SolqHqMYp0w+OgyDGEOW5c9ZtPYdQTBD1gWCbIEmYyX4AlOpKgx9XCJC2FI5lfIyls2SzWeIhe97yuxNlelfCXGV+q6tr2LAEj8pC8fWpTMbnq+cWMK6keNR83gTHKCIP9/D7V4FQLoL/gpHgmBquXqicW0hipQexSkVMQ2dzIE+Ho/N0TwAjugblfP+EqR0WRzs7efTvHuXur3yUWqWA64J/3V6Umgt/m7mXfoB+7jUEWUVt3LrsLonvVJbbV2AhhrUTZOyOOfsjzGShlMiJzoWKHVjW70+txlhKyjz1T69QdZWMTRk955DL5MmXbMqjMoWBE/w09/e0bq/8e3ddh7PjB2iJeRkFF4tnDLwDeSvKeS61rO/lQJDDhLb+CUYn2MXTyGvvQArONl7MZF9lYTB1urOwObYGpXY9gqQgqAGCO+5ECtcgaDqSJCEIAq7rkklnaHHKb6sY9Ft9/+fzJpiJXjLP/oDaAJU0v3DdZMhBitQS2n0PYjCG0XuE4vEn0As6qUyakcIIyZxJMpnEMAyCrovAjA6LXb1cXQ/S+CnsSABEAczyNLGm3vEsuqcjWzHhWolB7SghnzKv+z2TydDf38+9997L7/zu7/CHf/jH045PpEROdC5888jRZc1hajVGISqw8eZekpJAWbcoppOsvVYlEPHhD8lE/CJD8ovYyRYi/hqGsqdJaYPcvOFzF3UfPDxj4B3N5SzneSlU/CvFdQyKnX+N47wGShncuT0kjlHEKaYRXJuyA26kHkEQwbGRAlF8a3ZVGgeJIlu3bmVoaIjBwUESiQSmX3lbxaCXcv8XyxC4GObzJjjriphpk3/+1pO8f0aK5dR+FWr9Jnxtu3ny4V/T8/zfE7ccqqqquH7T9bS1tVE+o1KeMbZglqgNALiLPgOjbNB3virhROXChUosL5XVFL8uhcsZ/rMdk7a9AQpWgi2x906rLDiVnp4eXn/9dTZsWodaq3Eu8ca0Yj8TKZEr1S9MrcaYk7OE1xfQshJm2UKqLtBS60OVZcK+GsLRAK5sIIsqWjk36Y2oZFNkV3RvPCp4xsAVzHwNZubirdAIzOL8QudofTiIOAyAX8PSn8cqfhIp0Dxt0ZvYzQ7FTnH/3zzKXfMU4FFVlbvvvhtVVQkGgyRTJynUN1DfdjWxO36H4sGfveUx6MXu/1IyBGZWQ1xq2GEhRF8Ip3nPgp0XLctClyM8fzbPc8cHqC0UiPldBFFElit59cIc2gsn3sYvzsE9uz6DXDw565pdx8Z1HEzT4ljHSf7pgTd58Ow3+YNdsH6REstL5XJ2wbvc4b9R/TS1axWCctWs/ggT7vfm6BbOnj3LCy+8wJpdIVLKUV44Pcya2u2TxsBcKZHLYWrooSbkEoqECCeDFEs5yiWbnq5+1jWuZfv6zYiihCoFEEUZwypOeiMkUWZoBW2cPS7gGQNXKHO5nSXf/C+8uWLdlxtBDiHKrRh9Q+AAZhPQg13sJPnYv0YJXT9t0ZvYzTqF4IKLlSzL3HbbbUCl5kDmqZfJ6XEKSg2xaBtl08Sekuf+VrDY/V9KhsDUaogXE3aYMCLM8W7sfAKpr59rGkDI9AGz769pmmSzWR555BHefPNNbqEMfhAASZrfY+GG6zgwCk7NRiienHasPN5N7uUfop16HrtcwrYdvvr5D/ON+gbEkROghrhz7U3zllheCpe7C97lDv9pdgYlKKJb2Vn9EYayp0kWB9nX9BFOnjzJgePP84Frt9M/lKdvsJva29ZNa1C03M6FU9nedBsb666hP3UC27XZ2/IBjvY/S+fIAUQlxi++P8TOf9tI3khhOiWaopvIGwkCcuSisik8puPdxXchmUyG4f5BvvVn/4VM7yiFZBYTh+qNzbRd0843/v03cOdwO6Muzw3uOtOLwayGW3qh3apacwNOKYzR8Y/nF70GBH8RtzyMa5/GctpWVALYtm06OztJjI8h4uLz+RgZGeG1H/yA3odPcE+0lwZF5+pdd5+/7hnueJZ33ZfCnb/cDIHlhn0mnot2+kX0U89XjIH0ENgmiqsuWG8hl8sxODjIwMAAANFIBMgRiUaIbd6EyNz3Yj7MZB/pX/8NpbOv4eg5BNvEL0ND/hQBZwhBUZFjUULnyyevRphkJazU83K5wn+qGCQzZBJVG6gNVeSIU8WAihjk2adeJJNLcfVdbRStJIIRQYmWSRT7eKXr/lUpCSwIAmfGXp9WYjgUDBMKhAn4aohFqhAUi4KRQpF82K5FXXgde1rvWpVsCo8KnjHwLsSyLHh9iPcmm5DVRqRGKJR0CgmDvuf6GPpiP3Wx1oty+ztGkeKxx7DTA0t2Sy/GUnarau16Qld9AKuYwtGzWKUALgJSaB3+xrtXVALYdV3SvSfhlX+kqvsMebeMVhKQzCE2GynCiBjBODDdHS+UizhuJQ9+qde9Enf+UlhuhsBywj5Tn0t59CxmoqtSgdA2K4aNoixYbyEcDtPS0sK9995LV1cXTWcfpNBzFFfL0Nj9CJlHZGTHmHUviF8353iOUQSrjBSMIwZjaL4iuTODYJdxHRM5thZBDazKfV0pb7XgcymsCe3l0IM5rv7T32Dvzr3AFDGgr5qrGz7NF//0X9B6lY/GTSH6zxUI+WwCtQKJQi910bZVKQk8lu/h9Nir00oMTw093HvkT3nk2H+jO/UmDeH1aGaOqL/2orwRHrPxjIF3IY7j4Ohlgj4/VCmoQT+F4VFCoxZNacjuP0fkQ1dTv60Sp1uR29+xcctFzPFuYGG3tF0axcqfnjWEgIBctW+yWNBiu9Vy4mXM0QGKZw7iaAXc8hj4uhHjCr6mPQQ337GiHaDruhQzCfREP266n7AEWgnCYhnKRdxyGFsNXJjjeXe8oKcxbRAKY5jj1pKaEy3XnX+pmAg72MU0diGJnU9QHumkPHJm1oI19bnIsUZwHXxrdmEXU9jZUfR8ccF6C6FQiFAoxL333svp06cZ+qcjHOs7hpHLU07bWIluBEWddS+EyExJYQWlpo3ojfdOekGSnZ3c/8OX2XvzZpSAguQPzdutEaBYLPJ7v/d7JBIJVFXlxz/+MeHwfO2UV8alFtw+/vjjPP744wB88IMf5O677172GIIg4DogCtKkq31CDJhKpXn2xHMc7dwPG+LEh0J0vJqkqjVFW5WMkrZo9O/AVDIXdR0TVQcz2si0EsNTUydPDD9Pzkiwrno3ATWKlj45/4AeK8YzBi4hxWKZbKaEYVjIskgk4iNetbwc3JVQV1dH/NO3sPaOvQwaKc70d/PDv/wVdyhr2FzTyFonRnVd3YrHz2SzlDQDJ7YGu/nm2V8QZfo7e0GsuIVV/QCB/GPA9Li7K0bQop/CUjcAUKOGqJtnt+o6ZYzRJzFGjmKXukBWQDZx3SyC0IZSfR3CCmOHiqLwvk/ch7FvxzQ3u6PnsbUM+f3/hGsUsbKj09zxo52dPPg3j/LB8yr6pTQnWknBn0vFxO5VP7cfOzeOY2r4GrfOMgZmehFcq4za3I6dHsAolyBfnPzuQq5x17FRZQlVVUEAzZU5pNXyWzd+kVB4eoMGQVJwM3M/z6leELuYxh1IMqaB3XoN0a27kGtaZ40lhWuwi2nyI72M93WijhyFnEnGX3dJmt2sluB2Zrve5tgWxsfH6ejo4I3DB9h18zoSZieDmXWr0r1vYkfec2aQ40NdbLouSrReRdRiDBzvo/mqKLLPxSeF8SkBTDIX9XudY/sZyJyct8bBRDEi8CoPXmo8Y2AVmCsdqK9HJ5UyKRs2tgOSAIoqUl2r0LomgCQtXrpuajqQa9o4YwWcjI56Ks1ufytSQsd1XYQZ8VVBEFAbY6iNMfofOcrLTz5HYTxDbctuWiItKLEgmmZOGirFfBDFDC46H9ex6evt5Vt/+y3WhExeG4YHz34XF3AWeJ/evBM+fwekcpC9sG5QNuHBl37K4PlbN6l4bmmb7a0QJAQ5ghSMQWMTgqxiJQexC0FEZSdqzU2Lzn8hZrrZS10HKB59DEfLYqX6cbQc0kgnguzDv+nGSjOfYnhBYeJSfmc5LKY1WG5amjRwBKnrBFKhAJaNm8+R7e3BmpGOV1tbS9u2isByIS+SkBsi9dhfzekanwiPSLk0UZ+AzxegIWjRpCTRzr1O/J5/iRKumj7goUMVj4Mzty7F6DlE/tAvUHrP8vGNII114G7YMmfTqAnDJz82RH58iN3CObBljhQCl8QYWC3B7amRVy7E0mObqQ2so6uri+PHjzNunoIGmb7yqxwbVFbFGJjYkY91vkTKeormrRGCSpRwpIWG7ceJNIqIkkRVoIWSk8XGXPFv5c0xukcqf2tzLfRTixGtr9kzb+qjx+rgGQMXyXzpQDdc91mqq1rRtAymZSBJMpFwHZZlcPLUs/QPHF907KnpQMZL3ZRf68UtmgRHx/nN+A0EH++nZJzE//4tCH5l1vl2sojws1M0vJ7gI9Zm1vlqaLpmC30BP33PnEPTTCzTxhqoIZTeSmRM5sbwJpRzOeyGLGJzdNLQmHiZj/cO4gu30H7Tbm5u8vF1sYRfKuPUt4Mk4/rjmDW34YoXPCCqfoBA7iFspYli/LcQtBHkYgdCucjvfcnB9cfoTZb4j9/8TyTH+udUbguCRHDj7+M0D+CU0+CYZF/6IbaWQPbvQxBnX//FUB7vpni8orDGdXFxcfJj02LQAJICI/opOsfMabnXq81iWoP8xg+yfe9186al1cZg44zCiVU+aAjCBhH2VoNhwT89eGxWOt5S0+sE25zXNT4RHhFzCQKUUPxBGs0ctqNTTg2g9R1FVZRp3gQhP8JXdoLy+rex4+FZ16w2b8fOjgAumgXY1ryu+Am3/cjIMGfOnMUuG4SCUbat2bZgRsNbycxYeqGQ5/Dhw/zxH/8x8SaVWz+6gx272gGXXD4758Zgpdxwww2IjWMc7jeRJZVyucyQFKaqwUdddA2RWJAx/Sw+pbKJmOrBSBlDk+PM9GxM1iaQYf/ZRyCWpt6/meKgykCmn3QpjaRVuh9W+iC8gCoGSJs6v048wKjeTdpII2r9PJr6IdW+tfikSphxtduvX2l4xsBFMl86UH+vjiBAdY2Kzy9SNhzOnS2SzVh88Yufon3nwn1rZ6YDuUUT13IQaoJYrp9xu4CUK2O81ofUGEW9ds3sQUwHq2ggl2y2rtlETW0t4aoYZzMaWVcgHFYJR1SU10sEuyUEV+R3Gt5H8OkBil0OyvaGSUPDLubpPOYyMthIW/yTCK6GIr6BK2q46MQKp5EkCVlaS3zLx1Gm9AkwxjJo3VWI/mqc/A8pjR0AKwG2CMhIYh2B6mo+ciNI1vC890SUQ4iRC4utKDwD7hw9k1cBKdaAWrsWxypjJfsQBAG7mMEc774Qgwaat/s5nX2asXNvXLSqeiEW0xqkxoYXTEubFqqxTbDKCLaBQxBzQIWeMyD7+MZvfHJaOt5y0uucYDXRmz8+p2t8Znjkc/dUqtiVh06hn3mF0oF/RjOK04V2pk5NAMTsELZUPeua5eqKCHbkbDe2ez+CnqQ8cnpO3YNYt4Ez/h08kzKwRw5QhYMkSQQCgVVbQFeTuWLpmUyGvhOvMjDUx7pb1hKti+AU/QylO+lKjXPXtiyRSGRVjBtZlokFq1lTsw2AoVQXgiTgGAqOU/E++pQgkiDjug7PdH6XoUwnAgJW3kfDZpUh7QS5c8fpT5+YlnVQW1tL244ojz73YwzdZfxsGS3zF9RvUqldr5LsMxk5/VdE6yXa9gZwrAsOMUEAo2jjC0mUdYfTzxVJdF/Qlqxmu/QrDc8YWCVmpgPNlRkk0E3XuRQNDRH27t28rJeQev0alO31iPVhCqeO8w9/+SJfavpt3EIZ88z4nMaAWBcid30Nrw/lOGme5AtqE/a5JE1Fk6oPbqV1TZRwSGXklQdJCCJZJUwuqOJEFZykNs3QcE65hDpbaEzryEMlmhssQrVQsKpIBVqQfCUibhrm6hMwUSxI78fWEmAOg1gEKYhbjiNIddhyE2NpcMTFwxUrZVk7B1NGXH8PuA5y+WFERrDjW7Cbb5nURBw6/SrN2/1YThnLLV8Sd/MEi2kNJuLr86WlVQyyF3BKNub4EG65hGuVgRKuUEs5EEBUAsTWtBLbs3tlqXi+CMF5wgnzhkcch1LXfuaqMuhGGnlxAD6z9kb8DVWV7pPhGpTqVgRJwdeyA6PnEHLPi+yuBTEzgH7mZXyN26YZA47jUFbj/PyNAV56vZMbzAzxaKXokaqqs+f0NmCuWHoun+fYsWGCzSUCtRYxXwMDfUMMZgcY6MiS+0SOQCCwap6O7U23sa2x8sye7/hnfpl4kHDYQXOSjOW7aYptJuSL0ZV4g5Q2RMzfQNAXJWsm2XJbiFd6f4ySgLBcC7g4hQCH9EpY4Ov/339Dr7YfAQmBynvQxUUmgHWDjoyPIHVIfodw5ML7xHZMilaKoFyFKgbZ+JWbiastk8cvd8XIdxOeMXCZGBstkExoCALU1oeWvRuR6sJQF8bRygi6RUj0VQrvAGJonheaKBDY2oh/eyMPP/YY77nmRrYL0OCT8Ffr5F/6LlnLQF1TJG2FOeNG6bXG0JtfRxQ/jN2dmzQ0hLJEOF6FFVR59eDjbP/YboI+H2gxBopfJEuCvfJLc/YJEOQQcnQHcuwqXK2ILj+IVdiPUy5BMY4c/DCFyF6+9dDf86VvNK7k9i5IbW0twWBwxW2CJ1oCvzr0Og+c/R5QCQ9suyNM87YgjbENlNzkak55FotqDZZadtdVcLPrwHIwR87glDXkmAAIOEaBwpFHcEq5BVPxXNepVP9zXVyrhGBqVPtASHdjDHagNm2Z87y5WEhoJ6a6uLoBpOGjlAqBSa/BVE2AYxRBSyIAriCBbc8KFQwMDHDy5Em+973vEY1Gad7ejFAYQtd1hoeGcJzZBtZbyXyx9La2Nvb93k7MXx0nl0tz/z8+gxIt0dweIhqrQhTFhYZdNlNbJzdUNfP7X/wTupNHyOqjhP2VqoVpbYiSVcRxHWrDbaSKA+TMURSfSEfPYUQRet/QiTUpJHrKHH3kPwPQepWfhq3T31uSIhKqEtEyDmXNoecNjWhVkO//4Lusb91Cc3wrz3Z+j+7kYdZUtU9WHvRYHbw7eRnIZnSOvjlEJqNTVx9m/YaVKcbtZBH9n48S7u7nt6tuQh7VkHasRdk1u4uecWiAkurS23mO428e5TN3foSNoUbQQVAlHKc06XZOGRHGws2QKdFgjyIXoriBijBowtBQr19D2/Z6skPn+Iv/+TBfuP4uomNB5AKsCTyEHrRw3QSpxAD7H/4hf/df/xXZbJayeX4cAXz+IP/nf/geO9d+jIDbi1PuAn8XpvYEqmwRD1FJWVzlQkZtbW10dHQsKq4TrSSy2Tvrc+nkwzjjGne23jjpQu8vHOZc/iWqI03U1jQwkL60xsBqIQXD+DYZlA2RfFYkX6xGLoTwC3FC5X7sfKKSCTAzxfH8c7G1LOWhUzj5BFZ+HDs7jGjZ7KgB5fTjjP0kSWjHHTimsaT5zBTa6bZKPiuT7kqRStpUxyq7yvnS89TGLVjbPsTRBx9ix1Z1zloH4nkPwNatW9m0aRObqvoZPDqMdP7zSxUmWElxKVGG3sJBDP/ILNGcosrk7HNs2N5MYWgN5ZhOv/0KkUiUdeu3E4lEkOVL80qf8BIMZ89SON86+fTYq/Qkj2BYGjuabieghOlKvEHZLuI4sGZdA9WhFu65Zi9Jo4da33r2/Nknz98KF5fpRtjx9KOMlc5Q61vPruqP8cqpX/LAc3/Hgf6H0JUbWFO946L7IHjMj3c3LzGJ8Rz/+A+/ZLA/RzI5ys237iQcMdi5c8uy0wy1bIn8eAEjUaIx1IBlgyBLs6q1mVqJ3DOnOPbyG4RTI3zW2M5N0i4a0hJClYKyqwm1sYHIdZ8hm7foO23i6AbbRwc43lmNr+Uq3JiB1BafNDQmPBOMdBERfQhlG8t0cNUkSrCAP5BDcDLIqITtMh+4Oo/gOgiCTCwWR5YlLCFMa71AIBAE0QdYILo45jkCBZ2vfgQyR/6cgz31+MsWNfMU5FnJS7atrW1R96Ex9gx676u47nSFdLl6FNupIbh2LfF9+0gU+uk+M0qNr4Zr2j6wZIXzUustXBLO369CfpDR0RzDA4NEVYVidT1p90ZEW6JOPkP75ijhfR+bluLYFALl4PdI9j2CXUjhWgZmsg87P4ZrGiBKiIBt6ORHe8mqJ3BdB7GwvGZBg6ddUtn1GFkbs/cwhZSP476PcFXth6iLnIA50vPkqmac1qtJleYfV7Y04k6Gj13dxuZNrWwwdIaPiwiiMG3xnCl2uxhWWlyqfpOPhNHNmqp1s/oFZEvDZEtjbNtwFdRUE6GbkRf2E4tG2bZtK6OlU6iBdgLS6tepmPAStFZtm/zsyMDjFEopVDlAe+MtHOl/HM3MIQt+wjUVQ2t9005a4xtxElmaq1rYt33+rJvc6eM4yQwtVa20tdaxfzyLrIg4rjUZgrvYPgge8+MZA5eQnp4hXn7hDIP9JQxDwHEl+nrzOPYwmZRCa1ucHTsbUJTFd7xHjwwx0JvBrQmRcqo52VrFdkdAeWOQmoiPyG9egyAIFItlxoezFIsGZzp7UF2XJjVMa7SOQH0c384mfNesQfApZCO72H+8l5F0gbpImHAkR6EAAnEQxVmGhp0sEnqsj/+j5r3Ir2TQ/dXkinsxdq6lSXkKSnlExgjRhyI5JLICZdvPho0NqIEIkr+BxqY2/E4XhugDYmDKSOpOXKHIznaJtHKMU8Vq6p0QN8vrZhWOMbXMoqr6ZGFpu9KZqPoZArlhXCmOI154oQp5F1EzCXJx6U5W7gR6749mGRuiEifoq0GcIrpcdaQghriOI4M6HR1FfG412+q6iQZHUH299CWvZcAVqVWqaVp/7bRTAzIIWgpzPIdjaCjxBuxSEXARFD9223UcefB7xPJFXj9ykif7T3JL8/KbBf3xRz9LNNbKSOZlTiaeQZJk4rFGUmYjQ7keGlZw2aWuA0hv/IJmLcMXtiuI4hAlo4ggCORyeU6fPo1t28CMNL74ZuqYuwLiUpgQfJaKSYalPI4qEMh00uCEFiwuFYyJmLZGrpSY1S+gP32SrD6G7diYRh961Tj1GwKE/VWYapoDfQ+hygHW1exa8byXgmmX6EocZrzYh08JsqX+RqqDzYzmu3Fdh7JjEKySEAWFutAcwuZ5mFjofVKQY0PPULSS5MbMad6gqcWILobL2R3ynYJnDFwi8nmDg/v76O1NVdzlZZ18YZzRMZv6+jjZXAn91DiRiMrGTYurX8fGCmTzBuGWGHagzGF3nFurA8T6NKSuJGHN5NiZBAP9WTTNxFnbQPNXv0jYcamvDVHVXofaGkesCSIIAvtf6eXQoUEyGR1ZlvBVBzndFueZiM7dtzRRm1SxziUxXuxCWruv4ko1HYSyTY0vRuFMK4LQhlsfY82Wq1GHxigXBlEVaKoy8asKtivwxNE1fOlLtxNUDRR/NVLulzhWEclXgy2ksY04cuA95KyjyBGJSFAkHW7DF9xArPHDk9fvlkvYhSRG72FKvYfAsRD90WkKc00Kc9sXrmUwra/omU3UQ+gfg7/9BRjlSjOd37sKtlTLfHjt+xgdO0hf6hjxQMO8nd5aYlsJqPPE250SolqHOHVnI/pmiy5XGbnqOl573uSZ/W8wMlLEr26gRtGJ1Z8hbh4kRyPj5SC9p/to/NG/QqlbO5k+OVwEa8udBEIWWueLiG41yAGkaB3+tr3Ufuo/IgRilAZOsqX1Gj6346Mor/9vxHQPd665lq9v/wggwCJhnqGnHkIsjFHVtg559z2UDYeRISjpIkPZIA1zvK1cx55eh4CJboZ2pRaEUcTOVdIdlWAEW8siigKRSIQ6N0i9VI2AO2dJ3IthQvDZlznEicwbOK5FY6CVLQ0fWrC4VFlziftaqAtfWPIm+gVE/bVIgkRduI2S61BSHBzHpuiMoRWbaYhuON/K99JyauQVnuv8PqOFbmKBOlqrtvHC2R9RKKexHZOSncUXErGcEiltmLrI+VopC/z7MO0SWrnSgrg3dZSBzEnCch1WeeXPYb60xsvdHfKdwrvGGHirqv3Nheu6vHl4kEIBqqpiOG6JtWtb2Ljxep548jFKRoG6uhDjowX6ejNLMgZasiWaawM07W3hbI9Oz5GnqN7zQRzHIVs0WaNIFYMhWyIcVlEiYWzLYShbIoGAP+xjY23lRZHPGxx9c5h0SiMUVGlsjhIKqfRoOdy1mxisDbGltQ69L42dKOJqJkJIRawLkb62nleelGheX8XmgkujaRPrHEcPi+D4EUQDUYSWliYMp8Dnr+lB734U0e+DUDVOpAEpVIsUWn/ewHCxcBgxEwiKgN9XjRSuQqlZPykUK3UdIH/sCRwti11M45Q1/K27COy4AafcP3mPUgNDtDXp/M9vfYOWLXdPq3WwFCbqIThiDb/zKRthZAinECczAgcPPI82cJqxl06QEwYwG7Zx1EhOPu+JTm8pbZCbN3xuwd2ZIIcJbf0TBOlC5oQgrK74ayamaXL0aBe2LSMIReobm7HLAi4qmilQSo/i2vWUjGFK1hFEf2gyfVK3wGnegxrIUerajxCPAAK2nkWp34AgSsRjMfSUD7In8fdJOPEglliLErAQ+h5dUn+AtX0PYwxlCW6+hvi1VwPwykuVDBzbEWfJASZc8cpADxEFXKEigiweeQT3vAhSbdxC+OpPYOUTZJ78O+xiEjHaQDgSZbMqs00dI/P033Bqc+2skrgXg+gLkW9qpaf4PG44DjjI8XVzFkSaysCxElfXXOgVABf6Bayr3sMdW38LSZTp7e3h6cw/Eax5GlPJMZ4Z4iu3/S1+3/LfecvJssmWhzmZeYJxfRjNKuCU4Ykj3yFnjeK6DoZdwLRLqAERwy7QnTxMotBHTaiFoexpBhJnqLGu4r/+l7/i7nvu5Lb330BLzUaGsp30p09QNLIUyinqIm20BK+6KGNgpqdnwhi43N0h3ym8K4yBo0eGJnfElmkjSQKBoLosN/xq4rqg6xZ+v4rrumzdsgmf309RN5GEIKZpEwjIuIBtOYsWC3HLFq0jOZzOEuLpcWKjI/yLwG6qRovYioLeGgdFpKEhQkNjhDVtccJhH1qxzOv7+xgdzk8aHROGStm0qa4O0twSJT6UwygalAsmDbXryPUUsaMquBWxoXD+/hU0kzOaQKmxGXlrP7XBZnwHTMyxFI6SBjmL6/qQ1QittXFqzVHEGgMxN4qh+dEzNmLdtcSrtxFp2EH57BPAWXq1I0jGaZyyiyWEsIXpBYSm1nmXgnEQBJTGzSj1UfTeI5Nud7+a4vN3wLbaM6zd8rlptQ6WgjGaRuupwh5NY6eyOGYapCS+QIx28Rp8x1xkX4ramJ+AvxHRVzGupnZ686uRRXdnrmNQ7PxrBDmMHN2JWrUPwXdpyxC72dfZtdXkjB9cIc/40M+p3XQM2Q2RtTcwKu4grBrUqCMEtt06qRsQrTe5vh1U/RDEqwnu2Y0YjFU6FxZn9A5YRr+K6fdjbg3I2FhxMgOnOmggzOgiPVnIKDtElR9AxC3r00SQVnoQ/eyrmOM9WKle3HIJBJGb3nMbnA8PdBnnGEiPUR1pnbMk7kqYr+b+UpjaK6Dy3+dFc6KAen5+4VqZqvVwTXAfeSNNXaxu2YbAcrNsJjJoGjb5cByX2nUqWsbG0ByqWhSCcQnVL0w69VU5gONa5IwkgiDSEtvCcDLBi6ceo3mfQzZ2mJd7uqhJtlA0MsQC9SS1fmzXoiW2jWhhx7KuZypL8fRcru6Q7xTeFcbA1B2xzyehaWUGh7IkxooIuOze27L4IKuIKAps39GAYUy84LfQ09PDqVOnOHLscbbt+CKZdGnpaYaSiBj142RL2KN55PESDcFaiqqM1lJN3Y1tCILAVbunR9OiMT/BoDLN6JgwVOrqQti2i5Y1qHtziIBusl03aEgJrNk/jNmgIwQqYkNBlTAODXDybJLcuAG2RrN4kFIygRkysXQJo6hT48vhGnHMvhGilkQhGWG0uB47HKa2toiiCqSGykRTjxPz/ZiYbFIK57DyOjGngKHZFMQm3Bm75IXSz6a63e1ckN5RsKXaFbndJ1IgxeE4QjaNLXfhxnogkMOqdZFKe9hds4F9u6vwr792Uqw42enNX7NwutOUeguOLoJrY2YOYaYPEFz3W0iB1YiGzvGzTpny+NPcsHaAjbEyI3UjvHnodeIxl7JTx1BpH2Z4HdWhPtbIJdTGfQQ23QiAbHbx2dshkP8FhlINgJ0Hx+kEaboBI6hB1DU7Ce++Z9Yc5nONzye06/nnv+B4soV0oJ36pjit+QLMSNiYcMUPRU7ys795lHs+tBWFIr51+wjt/jBiMI5jnMTOjiD6gkjhWhwtjdq4iditvwVAyhhnIPksguxbtPb9cuLME9kmfinGuJYkbVyorDeTxeLMM0VzUw2NtTW7Gc110RjduKR5TWWpWTZzXZMqBs9nCKyjOC7xyKH/QU1zCEF0EZGQJR/V4abKPc2eQxAEAnIMvdfk7MCjxJoUHFnDtAMkCv0YVhFZ9JErJagJrSEebGQ0cRZJPl+DYAkhuAkuxhC7knlXGAMTO+JCwSA5ruHYLlqhTKqkob1UxkW47B6CltbYtP/uHzjOwOAJ0plhHDuwrDRDQRIJfm4P9kgeJ6Nz9tAJXjssYrT5qdkYJGiNcejQ7NS2XNbkXKeGrtuEIjqHDxcAECWTaPx8Wo/jolSDOGIR1HTKxRIhx0asi6C01+O7Zg1u2cJ4uYfQ8RHaixpSLk6wO4noM3CDBcohF9sB143i5mO4ZhVCYC3j4V280ONHHJN5j3KExrphYv5+NMOHYAtIvjwlXwbbsRANlcETNqG9jcB0afhidd4n3O6F0in+/w/8Pff+u9+cVetgKag1N6BUX4tTq+PuMhDqAuijP6B48gGy8XMgBJDLLYQ2T99NLDXdaWq9BVHyYxW6MdMHsXInKCdeJLDms8ue81Iwyha6IdLZ2YmWHiBojLGrtgzSJvr19zJY2E5dcJx1pecJRWaLL30KuGIUObRh8rMyQ+BOv1ZBklEbNi/qCp/KXJUVM2NJOjIRxl2oq5e4amc9/kMmBkzLHBF9IeSaNqThn3J9I+CPIvkjCJKEduJJSl2vEdrzkUlD0hw9S7msIUUbCW59D6ZtcObcT8mpsL6qfUEx6HLizOFaie13hvFHJM69WiTeotCw2Tctz34qE3Hm+ZgpmptakCigRtHKWaL+lTUeW0qWDTAjg+ajjOTO4iZytFStQQ4388RJEUXyEQ7EsSc1NC5Rfx3VwWa6E29y6Mghjnd3YEoFmlq2YSkZLMuiaKYQEBjLd2FYRQyryNHBp0hlUtSsVfFLkSWH4Gben9Xy9FwJvCuMgYkd8VO/7iSfNwhHfES0MqbpUNIsOk+NLVmod6nI5XKMjma4/pqPIIsRqqqD7NrdRCy2+B/rpB7CdjEUmbO+KMWmJh5+8XE6vv0cY+fdslMJh6rZueNO6mrXkUoPcuToYxSLqTnHrw7V8Z72D9AWXUNZzPAvP/N+Qje1T4oNXdtBivqprg4ilIqcGx9HGrwDpbmEGRpECOdQsVADUXwb9yLFWzAdl9KZFLnuI/jOPUOs5SzRGgO1uo2O0hfoyxYZ85/Cih5HFkPYxTp+3PVdfkv2A6Vl7QQm3O6hbIZbdoLg5Ob83qlTpzj55gs899j/olAoUNJ1enp7cRyHUCjEX//j06xdv41YXWyywJPoViPYIMsuuNacBZ6Wmu40YWwIQsUoVetttC4ojz+LlT2G2/RhBHn1KzD29PRx9MxaHn3MJVSyuCbqEq+5ilOlz5Jx1xOWda4KnqS21Afu3IuKIwam6RyMzv+I7XSC41xUXYiZlRXzmkP3aZO0axNXDDYYL+A7+Aj2POl5jlFE0FK0RkDQ0wjhummhCSlUha9p7hLR3YnD9KdPzCsGHdZOogQqO9Olxpltx6Qj+yQjegf1/s1s/8oH6Mg8wWipc1qe/QRT48xLYbW7+M0nspv6uU8O0pU4NGcGje1YnM78imidTExtYnPjPs6NH6RkFRAFCUEQWB+7FqVUw4sn/jtuKEuYEI5sUC5ZaPoQvqBE2FeDKAjIgkrIF6c2tAYzL1NM2xh2kWZ/K6ocYCzfTdnW5+0Dspr3J5PJ0Nvby+13vIfP/c4H+fgnP872zbtYU30Js37eQt4VxsAEEx6CYEDBcVxkWUSSRMyyvWSh3qWgWCwyPJTELMVpaKjCFxDZ1l5DLC5jmiaKMn+Tnb4enZHBSlMhXS+TSuoYhsmdd97Fxi0+6hv+cNY5umbT3aWRTpkEQxLr1gepqv7Xc44/87t79jaz9Zrp/8gmPBO+kTzJ/Uf4x/v/A9dffz2qfhQ3eYRQZwHXttBjDRj+VtJOiYcfe4E3TyXo7hngA9HjRKI+RFFB9UUJ1V3DqJmjEHQoR4rIkkraSiPvC5Ms99JavW5pO4EZbnellOAzt0Mw9yC23j7L7T48PMzwuefY1XgaUbARgOCNdfh8PgQ5Rp1wENlUcazNOGkT7cGnKUuPI5kF/Hocu6VqzgJPy0l3mjAEJv636K8HBFzHxHXKCKy+MdDf38/Lrx7m/kcOgalzZttm3nPPH2ERJxqVuXZ7Fbu2rSP/ShrHmLvXg+Ca03QOoOOWixSPPoaVHlhWLv1UplZWzOcNOl7vZ7ycpbrFz7bWMtFTz1Aem7sfg2uWUGrasLbcyf1nfsJd51tJT855kZbQudI4upnHtI1ZaXxD2dMUciVijdP/bS4WZ+4cfQ3sHOurtrG+di8xv0hjqIFyapymeBPRentJBu5cXIoufvOJ7KZ+rkg+bNea02gazJymv3gYq+zSGtyFTw4gSyo+Qqyt3kXUV4doBSkkbQbTZ4k3+ohGIuBAqaRjywaqEyHmq6fsaCiSn811N7C14QaE7KnzTcIcwv4amqKbONL/BLnSONXhFm7f/JvTDILVuD9TjaCzHb28+co5Nl4dx78uSZf+AoxkPGPgncBVu5vIZnQOvN5PLleisSmKokgMD+WWJNS7FBSLRf7Nv/5ThocccCMgDGOe6uGf7+9ieHiID37wg9xzz+wY6wT5nIUsl1BViXzeQCuWcVwXQfDR2NDGrj3N/L/s/XeYZfld34m/Tj4331u3cq7OYXq6J+cZZQkhgRAiCAR4wchgbC9rHBavsXH47doYvGgNXoLBgAgKIAkUR4M0o9GMJvV0jlVdOdfN6eRzvr8/bld1VVd1mBkJCZ59P08/M3373nPPuen7+X4+7yBJbFxXo+5w/JUFEDKjYzGO3dXP0HD2Bse+/ftKhoo6ksMvZXjJniHsDQknlhBeq22bFkUQBnhOi6D4Cr18FaXH5XDW5/5eDTMtkNBo+rsplTwkCfK5PGT2ABA0NRoFn4TageXVb4uMd33bfcX5Go73FJo3tWPbfW1tjZmZGXYlmlRbMl4U4+6hg+TzebK5PLFwnGDuIs3lDKIV4mnTRNEqODHKc3HGhtVtBk+vBV7xeSQti5IYQZJ1QmuBoHYWiJCNPNK3SF546NAhNE3jpZdeYnm5RHLsB1ksRkhyiXLDQksOs+ikMJv3obUWeWiLMVy74FKCVYJ6sMFzCKNlBALhSNsIgyJwkWMZ7MtfR46lNlIIb4Z1YuvSUr0tdTVVplYFofQeRFIQNyXuPayjyO3Xf32hl2SFqP8Yx1fhfD1G1LruNTx1GqIQEBjNJornYZeLrBx/mYXWMrgJNvMSw8inHMwQV3O0KiG+89qsim9VYNxOq3unkUEQeVyq/jVzrRPElNRtpfjd7HhwY5Ld9beHvk8g/G3XFNfSXFh+FjusggT1YI1yYQLbq5OJ9eCFFlOlV7FliQtrX0NN+kSRShhFVEo1IqNN/I1CiaZTRzfaOQXF5iyz5dNYDZdMn4qETMutMlF4mWJrnrK9RM0t0pl8eksxcKtOz3qncTOu74yUW4ucWngSz3dZnKrxzHMXGTmWIpYy0DTlhqmYfxfwd6oYqNccThxfYGW5Qa4jzuBghump8uvOA/hmQJIkMum9hL5PtVohjDxk8szPSJQrMU6fLPDggxU6OnI7Pj6dUdm1q5fTJxdpNduLaOBFrCw3+MJnL3Lm9DKjYzkeeWwMy/J59ZUFlhZrZNImR+7sZWAwQxSJLQUDtHdht3vfnRBlh8k8/pNETgNn+jjW5a+BEPhBSMOHcqmEqfgkEzKJRBzhyrhuP+Ord1A12nyJB4+8m1RaI2xVOLv2NX77679G4octHM0jmT1wS+/xjRm/WyRoXCZUh2lYIIclnOXPI2s5tM6HN5z9urq6GB4eIeGcw5NSXFh5kB9/16+Q7+wkFjNwp36TsDVN5CwhpBB1zECSj1JdzHNu/Hke2NXa6rvwGiAiD3f1KSK3iKRlkCSFKGgSOUtIWgat436kb5G9ajabZffu3fzUT/4M01M2tpXGsWwsu0rYcFhbrSMRI2XrJEOTaDOxX4pxeR7elPwuBsYO4zcmCSqvIiggJeIYfY8Tv/NdAEiy0k4hHH+OqFWm8fInQJavpRDe7PW5SmxVVZkwFJRK67P5djdPTcQw9+zdkfdzM1Z8XwK+dxdoMjzcD91xmLz4ec5+7PO0AvjEFWht8oA6/I5k2wVwxuPsFxrEzHYK3u228WNair70ni233a7a5GbXMXTU5Mi7U6R7VNxWxOcWPg/cOsVvHaZpsry8zImrbpBB5HGx9iSr9jgZvZ+at4TcWuRl68Vtt6uSTld6iEzyGg/KC13mK+eJiNDlJK1iFQUVTU/hBC380CESEQk9Syg3UTMW/f19RIqLbwX4bpN4GkAGOaTlF7EjmbTRyUzpVHs8EWVpFAK6zD2UrWWq9jJRFBBFIUJEhKHPZOH4xkJ+u4XYZmzugKRieYQQ2F6LiSvjzF+qEmZWuf/Rhxno2EfDX72tz8Bm3GgM852IvzPFQKPu8OrxBRYX62SyMXbvybO4UHvDeQCvBTt5HRimTCaTx3VqhGEAtKOLHVvguQrVqkW5fONiYGgkxuEjvXzjuRnCMEJRZWQ/JAgEjhOwtFBD1xXCMNq2sxq/VGD8UgGARFLnwYdHUBSZyAs4/9fjNCZK5CNBIucz/Q2P8YtrIElb7nsjiGQXqbvfCUBQuubn39s3wL5HfoFH3vNviLwKkbNK/aXfozI+wVxwAN+YZqhHsG+sm3RyCG/mJI0Tn8GYvcIP7QF15TxC6UDq30rGu5kF8bqzX6y5yp27QPEX8SsWtmwixwc2nP1kWUaWJXzfx3XqHM49z4nP/xyjB9/JXY/9OPHdP0NkLxB5FYh8JDWOEh9l6vwsx1sf56dgi+/Ca4KkIKkpcIvtYkOESLKBkhhDy92Pnn/4tR3vNSCRSBCPxzl44HEUaYVqpcGVyUs4ToNWs0Gz2UF3d447e0tIlUVUuWvjtfXNI/zmX8Lf+9ePI6udOOdfIvSXEaGLZAiEHGJffGZjLLCeQrg+/tgpT2AnXFPgBDv+u6YpNyQA34wVL5Wn0c78BZJbRy5OIHktenfneTg7hEh08Y/u/lFEvGPj/mcrn2PNniBvjnLs333fBtP/VsVAFEUsLi7yh7/xBf74jz/Kv/rX/zu7jnaya9cY55e/RiTCW6pNbnQd17T9kzhRnbiSoefeti3w5hQ/txXyK0//EbC9GHAch/e855qJ18ARk90PxnEaIZ4d0X/IpLYSUJz5dXr2GDiNELcVkR/RKc54TD4Tcu7cWYaG2mTDp8f/kMnCcQw1QVYa41RjjkiEZIw8fuhSsZYpteZ5676fomwtYCZVugbS1L01lLhLpIZIsgTISIAvXAgiaiIiYeTIxXpwrAA9JjPfOoFjtUmGuhbDUBMIBGvNWUqthY0Rx2DmwG0WYrWN17W0dgovdAiFz3LtCroSI633sbb6HHI8YuSOPF3pESqlOnPlKWpLgsHoHHfcccdNPw/ruNEY5jsRfyeKget3ubt2d7C8VGdlqUEud42o9600Jto827/e6+BHP/RuwnB7u9GxfRw3QJHjzM9Vb3g+sixx4GA3fhBiGCozU2XqdRdZkZAlME0VVVWwmx6Jpovc9AhmykSqjJfQcdMmAkEUCRQFnK9Pk3hyHKPmQBghZInA1Gj2pijs70b0Jjfu+3ogqwnk1H5EFOKu/DVesIibEWS4QndimXyqj7jdQ2gNb3gIgMAKYNiKkYjfTU/fmzeOdyP5WeEzH0bSOogN3UlQLiPXAhKSgYgMZLMPOT60RWKoqiq61uaTdCQcIuFirX4dL1OiNWUTH/1fUFP78U4uImdjKH0pUBXk2jhDWrtY2+y78FogScoNiw35W+wxANd23slknFgsRl9/N9Bm8/uFaTIs0qstQ7y6Ze5P9n7WQ/0it0XUKBB5TTC89qijskAo9I0Z/s1koLfC9QqcdczNzVEoFim8DvdYkeol2PsWiELUS19AbqwQduwi6j5I0lQZyytoudRG56KvlqJxNYjntfxwB0HA17/+dRbmF0jEk3TuUZioP8PEmWdQjIi4lrqtcJ3r2f1+6PDslVMYoeCuvrew2phkMHeYdx78BwB85fLvcX75a2SSSbrTd7M6899vSXJs+Gucr3wRJ6yzO/UoU41vsGidRZV0TDVNWuthd+pRqt4Cq844US3BL37udymXqoyOtBUlstRWD+iKSTzso1HwSRs9ZOMdrDam0ZUYppYibqSx/RQD2X0okkapuUjDLrNUmAJJRdNNJAVUWcMLbYLIQ5U1OpJDTNXP0rlLp+kXCWUHU0uSNPI0nRJh6FFoztIR798YcWyOXF7HTrLfJU6gaDDXOo4fFulOjTG+9iJuYLG74358O6TWLJHuSNCV7GUkfRdPnfsMU6tTrEQW+8zx2yoGvtmult9q/K0vBq6fNSLB81+bptFwMUyVbC5GT2/qW25MtD7bTyZ1kimdMIio1tqWw3ffN7CNvLj1fArbzud6PPGW3Rt8CCTYvTePpsksLzVIJg0kCQ61XKKZMjg+BBEoEiQMot155D2dG9co2QH5jEnQnQRVhiBEKrbActmVM1EO977h18MvzVF56jeoL38dK2FRDzqQAplUVIXJJZz8bmIjYmPxWJlfo/TRT9LhaQwYI2Q3/RDvJD8LynMQOw+ORmvtOEKfRfMU8l4XYnkUXfkgyft/BDlmbBznrrvuYjTzVhbOTNPwcrhexMmXnmTv7gZe4WmU2CCx/h/BfW6aqO4gJw2QJRJzixwzh8BQNnwXboTb06LrV/8AzF79sx2bUxQzmQzdPe3PxesJNrrRztsvztI8cQXZrSK1KnAdSU83TrJvEKTIQs2NET/6CF6lRegoKPF9GJ0/iCQpW2b418tARVTHLTy78ZyR0yCyqkRWHdnchZbbdcMxwhu1jt08JkhosDsDSf1lVAkURUY88b103fuea8XA6/S+932fZ599luXlZbqGE3jxZbyKQ6NR58DuY9w78l0kjJ27fzfDZpmcrsWQJLktZb1aVKw12rtjy63jXf3O3ozk6Icuz02eRQtC9uUf4VDvo0y++hRqoBAJD1kPuXPXIzyx90d59sqf4hULKEZ223EO9j7KYPYgMS3F6rTFz37q17jnf/8hqrEzpMw8HfF+ntjzIXrTu+lJ7eJA76MIIag3ajxz/uN8fPI/kcoLhOQRCYVQBKiyRiQiWm6VueJpqt4yqU6FkHZctqkm6EmO0XIr2EED1dPp6BxgpnyKYnOOpdo4A9n9W1rzdaewo+y394BJyZlhNL8fL3KpO0UMNU5QSPPi2adQ4gGyHmGGXfy3//gn1JPn0TstHnrwTo4ePXrrz8PfQq+DvwPFwLVZo+MELC/VsSwfTZMxTBVVkwiCiNXVa8ZE1y/W3wzZYTqjsmt3703d/zZjs1HSTudzPW6HD9ER0/GSOlJvCkmTEV5ItNKA6TLxo9dY8PoDQ3Qf6kbuTiLFdUTVpvXxUwTjBXTLI3EDEuFrQeS2CKrLzDdyJI0WIlBYXjzMQiSDoqFXRkgZPgeOxvH1IxQZRzK2vwdhq4IIXPT+g4jQR07m0ToGESLELf454ewMkbeG0FxAQ05aSL6Pe2kBvfcy5oPXiFqmaZLOdNHTlSdjN2m2WnRmInQaePUplOI3MPvev8XgiVAgN31WgzrOkTzGvTcOXvlme54/cge8/zHQFFBUle/5nu8hkUi87mCjnXbe0aCJm3v7hrRvCyTQZz/KT7wDEtX/iTU5QBQ2kfQmWmIPseEfxuh64pbPGwVL2DPnEMInbJQIKvMI34NABn8/8d3vvWEx8EatYzePCQAku4pUm8PzAqbml3Fb9W8KKSyKIi5fvkwml6Lvnhgvn/46K1N1bKnIYPYQ2dFddGe7X9MxbyWTW2vMEEQe+cRQe6Hzb30dm0l2STPPs1f+lJZXQ0LCDxzQIa6nt5LviOjZb+CGrY3j9GX20pdpv2eFmROIqO2cKEsyST1HV2qEoY7D22bmCXpQRYwwDJFUGUGIhAYiQkgSuXgfqqxheXVCcdXzQoQIKUJTDHKJPpyVFn7ggiFRas1TbM7T8mqcW24TCje35pNmB4/u+eAW2W/DX2PgcHuTsLvrPl6Y+iReYNGdGmFUu5tTuaeI+TpuK+D85CRzlVWyaUilUnR25mnIc9he100VIX8bvQ7+1hQDN9txyYpPKhNSqzmEUYBpghkD328xM93iY3+6itUM6Rs0yOUDDFPGcyNK5RaVpsLcbOKWxcCtRgxDIzGO3HltT7GT+99m0tmtrIMzmzYR2/gQu/MsLm7nQ+gPDKHdYJH3Jwro97UXsvU44sjyEE2XqOVB2P4h2UlHvxM2M5S1pWVU20H4gtp6ZK1vI/U8jOVeIqGXEXKCjl0rBKFJ3R1gzu7AOb3CxEyJSEC9VkUdfC/TTpyetktsO5PgxGeIrBqR0wRZIr73sQ1Tm1hwP/7QOO7yl/Htp6i3Wlw4+wrd+wIi46tYM6toR/+PDYmhoijohk46FSOUYrRqMeYLKnvtBJ2RjClJIAVbDJ7wI+ZnrvBbv/ss3/fQv0eK3VgG+s32PF/PSijVIj7xqSexwi4yid5varDRZmnf9RAiJFr4NABKUCSw/NfNc1h3ioxUBeEstyOsFRVhc1uL8eu1jo3c/bjDPRvFTtgoEpQXmF+rcv6//1v23YYXwq2wsrLClStXKBQK9B5SMTthdqKMqaXoHhghnU6RSLy2AKGdZHKL1Us03TLF5hyz5TNcKRwnCF12d97T3nn6tz5u3SlweeoCC7OLJPOfw0yHJJMZVFnFj1wq9grH575A0shuKAYmrXPc+d0p5lsneIjHbnjsIPJIGDlG80fJxdvfuetn5u88+DM8cOebmXTfxFJ9AlmS0ZU4DaeALKvoagxN1rH9xtXPhYQTNpCERM1e49zS0/ihQxD52F6DufJ5gshHiPZv7PWt+aTRwb7uB7a8rrPN4yQ7VTqMETRZo2qvoKvtsYZvFklkdPS6iuMFhN2z5AyfdCpDJt6Jq5Y5X3yKbDp/Q0VIw19jeqVN1PxmeEH8TeFvRTFwezsuiYfu/0HS6W4UZftlVWurvPTKJwnDa9+Yo3d+F7vH7sU038XUZA5NU3ac299sxBBeXUSvl+/cyP3vekxNLW/8f6nUolxxCUWDxeV2q9axw618iF0dLC/VWF6qk83FthgXvZZFPiy1sD9xhsjywAuJKhbKcHZHHf1mbGY8y1J7EvEzd6V4aCyPHek88/Sf8bnx/5dao0gk4D2P9vH+R2wUWRAJUGTwQgk5PMClhYeZWaziBy6KonLvcDerYTeLZY1OtmYSyEZiGxlNVhMYI3chJV1Y9LCDGJ/9ynke7bsTQ58m0ma2SAxd16W2/DLVlSnOTjr80m+vMtg7xFvftp9EZwwtuQtJTSLJbRklI+2KzJfXKIbN25YVfrM8z921KtZ0jlAz+X8/Cz/yL/8+yat58N/qYKP2cyjY6Q/w+1/6dd77U+9naGzXG+I5SGqS9KGfw+teuMop+Au86vi34Myv4UbFzvSJE6xY//YNSUXXsbS0xKlTp3ClKnp3Ek3NcebZRd783fcxMpInHk9gGMaOjw0ij569OkvWeXqqiQ2ewk4yueXaeHsX7NaoWqvE9NRr2nkKIYh8hbBuUik0yfbliKQIRdJo+TV0xcRUU3QmBkkaObzQZbZ0GiuokMwrFJzJmx5/0TpDc3WSMArwI3fHmbkfOrw082mq9gpps5OYlsLxWzQkCT9yKTXnURUdP3RQ0BC4RCJAQcULHQrNWRy/iamm2kmHfo2ElkUgCKNgozXfmRxiunSKYnOexerlLa9r0Z2mVQlJqHkmi6/iBRZ+6LJcm6DplEl0yIyl9+N4FuGw4JWvXiJldDI01ks23kPCzGBqiW1dD2irrGebx3HNlW+aF8TfFP5WFAO3u+OqlH2sVoDjRoSBQJYldEPCNBVUVaIj/wu4boTVCqlVfU6fKrC4sMbaaoOXX5i7IY/gZi39geHYNjnQrdz/TDNFKplH1+MEgUcY+mQzvRzY9zimmWBi6iVOn/kisViMs2dWCbwakixhOxLj44vYdoimyXiextKyw8rqtR80ueYR/+oiCVknZSZuvMj7EZHjI+oOwr3qGKcqt/xxXGc8l6bPoZ3+OLOLglLQQytUCSWNR0cV3vImj44ug76Hn8CUZ9DtVwj0PQjJQAkW0dwL2I0mxx7KInX98EanZvH5b1BvKixVNI5y80yCzVA4gvR8gDa9xJHFJ+DCg6j3J5Gy01uc/eq1Eq2Vb+DVL5NXff6vn3AZHDTpyC0iq0e+pfK+NwJJ+Hz4uyFR+zPc1cpNg41eSwLd7eDi5Rkml8A3j6B3vbECR0QuTuFjbT8FtW1c9HcBhUKB8SuX2HVfCkdUmTjlUZ2RmJ2ZwdFXKc0EdLTu4dFHtxcli9YZ9j2R4HLtK2jLrY1F63qZnOM3Wa1PI8sKDbdA3VljpOPO17TzFEKQ8sdonO9kZb7GrnuzRPiUW0tEIqAzOcQ9w+/hXYd+FoDPnv2/qTlryChUl3xi9924LZ7uUVmyzmGqUtubIPR3nJlfWHmOCytfAyAb70WVNRpOCVXWEGF0ddSgYKpJrLCJ04joyuTaxmCSQsMpIUsyQgToahxNMdojEiGYKr5KXM/QkRigYq1SbM5jufWN8cH66+qHFvGMwmzzFeTQRwApI48fObS8Cr3pvQhClDBOq+byx185ze4fzWDGYqTNPO849A9QZJWzi1/d0vXo4v62LNWdZig3+roizr+d+M775buKzW35cskjley85Y7rzKklFuwakvAhCpEkCVXW6e1tL+4Xz6+yUmy311eXHQJPx7yaPJfKGCDYkUdws5a+6yS2yIFu5v7nuhFTEy0qlYAwiHBdl5MnzqAZCXQ9jiIrOE6Drvwo+/Y+yuTUy/zhH/wx6XQ3uh4nm+nFNFMEvku9WWB5ZZyX/uGfE4bXpER9aoafyD1Et5HmB9/3/STiiR0XebkrAe/YR6ti4xct1NOLaJfW2iz6W+joh4eH6VFblC8JLoZpnCiOSQMlqhGGCpbSyUothV5w6B45gm8cgnXnPd9HbnokeZW4N461ch9RJoWSN5FDC9czKJVrvPrqq0iSRGfnGMMDwztmEmzAjxBOhNzyySrxtoyPDpBmtjj7tVo2DSvAbrWI6yHJvERPNkDTHIhClPjYjZ/j2wFxzfBn7wBozlnsubUdg41eawLda0E83tba3wphq0LYKBDUVhFRQNC8WgCLCIQgsuaIJGWLcRFy6ptyjuVSnZmZZX7+5/8ZjUYNRQn59Y/8Z/bu3UtPz3ZC7jcTQgg8s4AitSitCBqLNj17TJLpBMlkjM7uTrzYKrZX37IIrDVmWLLOoWoykQi2sM03+xWEUcCcfRaBQJE0wigAJPoy+17TztOyLH75l38ZMiXufPMAoWQT+gFh5GEYJpIkIUsy06WTdCdHWa5fIQhdTDV/09+DIPIYucek5E4zJO2j4RYptOYAsaVz0XJrvDz9GVpulYHsAUwtyVz5PLbfwAvaI15djmGocdzAJhAeqgZJtQdDV1ltTuEFNiARyD6hiBjMHiAUAcXmPE23xEjHUXrSu5kpnSISIRHbX9esMUB9zSeld9Pb2YsbOtTtVdJmF6aeIgw9iq15TDlDR3SI2tLvYWgm8Vgc6Wqi5I2UAvGMjB9a1J3i6zad+nbhO7IYuL4tX622uPuu9zI7Y3HkSHhDpvutSHlra02KxRbNhksQCQxDot4oYpi97N3XRW9vakfS3+Y0wFbLo9n0sC2PluXRargMDe1meHh4i6Pf4KDOyGgHuY4YqiqzMF+lUrYpFmyaTdG2SQ4U0plestlOFFkmllDI50eIosMoyvczuiuOrst4XsjCnEO9FiBJYMYUYD+y/Cgf/vBPY+gye/YnkGUJIsHs82f5V//yF3nT3X+fnnmIzixTE4LEh+4h19G2uz17dmXLa9wloK/Yon5uheGag569ueRSyw+TfvTHGYzP0dFs8LHf/x2cVpGYmSI+9A58Y4gnn3+OV098itlNDrdvTx7kRx9Msu+eVZzKMuefqlOyIqZlm64HRomlc7zy4ov8vV/8WQRgxtohLnHRBG2N0D1Jc+K/bToTCRF6SI/GaI328ecffYV39z1KUD+PtFZH6+/YcPYbHduNk/gXOHPDIMkgKQi/RuSuEbmr2DN/QGL/L7wmlv7tYmZmhosXL/KRX/0ljuyJ09fXRzwWY3R0lNGxMUZGRjHy92557nWHRduL8/Fnvsybv+9+JHltx2CjgW6DSy/9AbVabcvzCiQC4wBCfv0S2lul6sE1fkdQXsBdOAtCoKS6UdJdhLUiQX0V2RgmefR9RP4qfuU4ggJozk2Pezs4c2qJkyeusLi4yu6xR3E9h8C3efWVOVLJ9Le8GFBVFS0RQeAjtIDEkKDnUIqObo3OTD9GzmXWeYFdjb0bi8A627wVlKiv+dt4E5tlcueXn6VmrxGKkOK6rj69l+GOw7ck+q1jndcwMTHBPd/dg5H38HwLQhVUgSJr9Kb3bixYfem9gGBX173YtRB44YbXv2ydZ/DOGJXmGk7QJMSjrKyR1nrJpg6y5i1QtksUSqs4YY0gEtSrTWa8CzT9AoKQUIRISDh+CynSEUiIEIQEJWsOPB9FVjDUOJEIEZIgYWQZzB1mYu1FwsgnEiG6EmOpehnLa7T9CMT219VeTmyoH+46chdPj/8hNXuFdKyLtx/4ab428VEq1jIduQ7e+cj7aDQaLNcmNiSnN1MKeJYgawzQlby2ZrzWiPNvF74ji4HrF3XLlkkm8qwsuczNVraQ/VZWVpiamuKf/bN/RuBlaDabvOnN9/Le73knjz3xpi2LezplUtCaxOIag0MZZKXOF7/8IvfdfweLCzX27e+6KelvvUgplyyWV+oEfoSqypw+tczISJbTJ5dYWqzheQGKIjN5pbjBMSgU2rnsIorQNLnd9rciTCOJhIxhaBw40Ms7v2v/xjmbRoY3v3UPUST4ylMTVMrWBkdhM3IdMY4e3eTOJktEQ7s4GWqMCp/OkoVzZoXiX1+hf28n+4KQ6qU1GoEgnjHJIkjZPr4X0qg5SMt1dt+iGJCNBInDb+Ohw3DixAk+84s/z8f+y08yEK0wVzcouy5xJcu//onvpd79PYTaKJpp0nX+ErHWl5BSGmHvLgZjTyBNL1EPY0x0mXidJd5z7Ai/8EMHWa00ed+/+zOKxSJDogDmDL69TDDxJHCV/S5rIEBWDOLxPTz47mnkvc8gmgUkJ4sWv2dL69/sfjOIEGfuzxDCBwkiv07krBL5Ncy+9yB3fPMzzoMgwLZtkvIih7s8UuYUpm6gll+hbMeQy3tI7/s5enddI2itOyy6J0/z7BmwU9+Llj25Y7BRUD9Pyv4SSW0ri0zWssR3P4S2g/IgdFbxSi8QWvNbbpeQUFL70Te5N94K6/wOEXgQhkRuA0mLoXb0E5ZDoA8514OWfQgllceaAmf2BVBriHXW+OvE2lqT1dUqS8sLmDGIIoGmZlhasJm8UuDosTd0+FviwQcfROmq8OUXYWJinIWFRe46eISh0QESOZVsvJuYlt6yCKyzzZNqF4HX/k6HUbDFUW8gu59ic56JtReRZIne1C6KrXmEiHBDa9vOc6EyzZ6H49T95W3nOLcww/NnP0eQLKD1G0gqWKUAVVEwVAVDTSAhkTG7iYhYqFwkrqc5NvAunj37Kcy0jBVsH9MVm/MsBSdJ5lTGz09jJGXMtILbCBl/tsXFr/wBB96SZOSeGHpMwncEEuDZF8j0acSzCpLMVdWXIApcVipV6msBigrpXo2GW0HxoTM9SFd6iKZboS+9h9H8nZStZSy/gRc5GEqMmfIp5IpCJtaL5VdBtM9xvSvT7n4oG+oHRVa3pY7uFDy2WXJ6fvlrN1QKLJx1uCf/Q9x1x10bt912xPm3Gd+RZ3V9W/6lFxuUyvMEgdgm01tYWODll1+mXC7j+2UMI83MzDLjl5e443CdWKy9uFutdvUcRYLOfIIjx/oolV1sp44QgjCIWF1pUCpaN7QvXltrUig0aTZcEBCP63hexKuvzHP29DJRGGHGNBp1l2qljq4ryIrU1jMjUBXl6nFlZEnictMG2va/siwRhRGJpL5xzusFye26s62b5eCFdOYGiYoOiVaApiv4MY2q5WGdW6VjqsBgxWEgoZHOxdAige8GFNMmSz1JrKUGuw++tt3U/iEY6xhHtop0aQVSgY6MR0yvIDVcPGkARdPQBj0SZoCSOkh87EPU51LM/noVeU2mz3LI9FXp1ttkSyllYGxpAoVIUgxJVZCUBJJiIJo+KALkCNmrs6dbQ3abSE43inY3evcj285VkuQNdrusZ9ujhKDVTuSTX6Oz4G3C8zwajQbVapXQh7WygqzHkQhQFIu9ekRQc+jddq6bXoBbBBttvqYN3ER5ENTPY03+DkFrot3KX38aWUfL3Yuyyb3xVljnd0hGnNpXfwu/MIsxdg/JY9+96fSvehFsug4IQYS39Rw3Qk9Pil17Uugxkx/90R/jjz/6cV5+fgJVdFCfX8K6/OyWfAQRhRC9/qTF6xGLxbh317sIChnmn/tDznx2nO85+gApwyWSyqTMzi2LwGbJ4ED8yEYxUGjOUN7kqNedGr1OUfAQZXuFlfoESb2d7AfXdp5xtQOrEqLt0AU6M/c0E81nuOPdcaJ4BT1KcPnpNfbdnSYWB7vlUtUr9Gf2YmgJpuwTjOWPEYmANWeCdJdK1Vvackw/dDm18CQld4qR4TGeOX6O+949BFpAItfNYx96CP1DKerMU+QCLjUEIdDOIGhDwqMGRMR0HV3P0BNPkRzoo8o0oWLhhRaOYyMiCCK/Pf5VdBZrl1muXWmbEEU+dhTQ8tpEyFy8H1NNUbGWmK9eYLUxc8PW/PWL/+aFf50k6IU2NbuAImucW/oqLbdCX3ofTWd7dPx6kXHt77cXcf7txnfkmW1uywPE4gq209YJX79jn52d5YUXXqCz4yA93buJx9I0mi2WFgR//eUJolBF02WaTZdazdli1TszU+PwgTfTaoSYMY2zZ5Zval+cThkUdIVYvL1g67pKqWRRLrqEUUQ8rhOLaxDR/nejTWwxDBXDVGg2PBRF4fCRHlZXGszMyHi+S0JK4HohCws1/urT51lbbZJI6mSyOr/yK7/CF7/4RY4fP85v/dZvcd9997F//3ZnNOEFG2Y5qWaF91QT3DNdYiCWbDPj37ybiiyzulin7EeMdcYRlgeFFpKuYAxk8IayVDIxul9nqFOgaDj6QZpRCtdpooQ2ybiPphsooozvedR9AzU9TFf3IzjeHVwan0FSusgmXIbuzNHzjmsyoNUrU1TdP7juWTTU1C6UxF4Su3+B1u+fIWrUkTI1oso8wStNhPoIWnwfsXvvRza3Vu5e8XmC1kx7MVBjmAPfj1j8FAiBlrsbNX3gNV3z7aJQKHD58mWiKGJ0dBcHjr6d1MFfRLq689Z1HVXdKltcDzaSIgtNBcW/dbCRpCa3RA3DzZUHQnhIkoqkZ5AUc/0gKLH+1yRfVHP9G2ZDVv4LRK6N3ruP+P7HtwQ0QYjfmMKvngYERG0DpjeyGB852kdHZ8TCQpzJySs4M8+zVw3IKyOY1VWqz36VxL52PsK6m6W2MENKAyTllkmLYauCVJnlri6QF0/g9ae2+CIoikIikeDA/oPkOzoREUjISGxfBK6XDKabh9u3RzaF5twWR73rFQVu0GJP173oqslA5gB7uu5jILOfF2c+RcVaIqZkOfVXdbK/NLDl/NcaMxTCy0SSh5J2CIREYyXOhafqDB1KEfNUNN1AQqZiLW8kFEqSzPG5zxFGPpLcHkNsJsBNF09yfvlrBMInF+/DTF0kljAIgXQijhRbRNUzdEkmuj3AQrWBEFztQoCqmHiBjeR7CCJSZiej+aMMZQ9Rai1ydmkKnRhGkGB1dorhjhyqrKGbebqS7bFVwymxgiASEYqkICET1zIM5g5yfuE5Qh98ETE1MUt5tl0AXk+yvZnR1Lo0stCcx/HrSCg03BJps5OF8gWsoIGh3ryLersR599ufFuLgduxB261PBbmbIb678BzI2IJbcsiNTk5ycsvv8zP/+Nfw/d1JMnn85//LILdFAsuge8wMpYjkTCwLG8jBMX3QgprHolkB5IM1YpFteqQ64hvkeuto1F3aFk+YSjo6k7iuQGeF2KaCr6nIKsa8biGrirsPdiFY/sU1lo4ToDrBlSrNpbl0d+fYd/+LqaulPF9gapoCNHeI/lBxPRUmTCKGBhM0dVjcPnyZVTF5MgdD/HFLzxPGMTp6R7eblusyBtmOXLZIdm0SMsCcyCDdrAb84ndxF9dQMgSpQdHOHxHD6LmgB8hmSplRWbu0hqi4d401Gmn9wzANFI0bQVH5GhkfxbqL5K0Zkjtfg/dD70Zu17g4vkFiqWIVnmM5MmQ5annMKo2cV8hc3SEnu+/F3WsYyMoaSOBbssuLiCsXyJyCjSseaKOBPijyCsjyCtD2DMDrB7oxN6VxlVLiBPVTY/1SVb+CNUdRw3miQoXqcx8EUm4RHIeK3gQ1zqz5XrloMTylWd54CDo9gncwtWuxWt0Aczn8+zZs4eXnpRoNlsszE+xO/abGPEcWuZONP1uZOVaAbo52ChZLvNf/gEky7+J5wSgJEA28EsvbDsHEblbooZvpjzYgKSidz1O8uC/3igiJEn+psgXrw9oipwm7vyriKgGoQRhF0Fx5jXFHq8jiiKiKCIIArLZLIZh8Ed/9EeUChYZcwDT1OnJCAivzeTX3Szl2hI5E1DUbbHIbHr+dS6ENnuFH9oH2oXPYqflbSZJsiwzNDTERz7yET7ykY8AbJkzr+P6BX61eAVVl2gFZULPQEkO4/jtz9iNgndSRgcr9Qmq9jLGrh/e2HkiSVzvHbU+3/aoI+sRqhnhtATz5xfZ83CCMPLxA1CMGDE1Q0LPstqcxg0sxtdeouWWiVAIA4EdVHlp5tMbBLiF6qV2NoAIkCKDzlGdIPIxjQQRIQ2njCLraIpBzSmQNHIkjTwtr9J2rRQSHhYps5NcvN0Tk5Cw/Dqr9Sn8sG1BnNH7qK+Oox+OkTa7GMwd4p0H/wFrjRkWq5fbSgTRViKkY12M5o9QrVU5f+EcQkRMvnSe/37py5TnPHz72pj1Vsqb9UyImrdE1VsiikIiKUCICDVKsmBPIksKupJAtuaZWiujxbb/br5eV8u/aXzbioHbsQc+c2qJyYkSly416Ovbj+tGrCw1OHVyaeM+Dz/8MLquc/DAKJbdwrJWuXDpK9x7zz1EUXumn0jo3HXPwEabvdX0GL+0hm7IrK1NcueRYapVh0w2Rk+vzMrqJCubAqocO2R6sq0QMGMy3YbfDh3yQ4QIMGKC7h4F1/WoVQPmZhyiCOr1ANOQCaII24HAFzRbLuOXCjiOjxAQBA5mLEM6HSee0EG0DYvuuLMXTXOplBUG+x8iFkuxsLDM5Yt1ns1MMjzasUX+KCnyhlnO3Eun+JOPvsSb3vozJN50H3I+TmGttTECyQ+k0UavhbPUqjZnX56nWnN27IqsFwAXzq1QLLYIQ4EiSxvvmWU3GRu5G98TxJKC4e5PowevEpQ9YrEhlOQeXnhhmme+WqRRV3n8oIt5qYyoOuiArCuUqg6Tz8/gjRc3gpKkxgofvgO0l/8HUa6t84+8ApFfAxYIzWmkfAqldxFJqqLZb+KTf36a//TRJyn+wXZfB1mGn343PHAQDgy3/x6GEIRQqMHXzz7Pn30F1qrXHrPuAvjj71TJel/Emm7b6r5WF8Du7m4OHDhAPBGjUa+jLpyhLy8jmhpB7dR2hcCmYCPVm+Xe/aC5lwjlNLLRiV9+mbB55do5XCVKRfY8kS1vMPZ3Uh5sgwjxi9+g+uIPocRGMXrehtH9plsXEbeD6wKawlYZ4dUQHhB0INF308X4ZlhYWGB6eprjx48zOTnJ9PQ0Vybm+d53/giJ7lH69w4wpjwPpWsrpJYfJnX/D7CUucQnP/J53nHovWT27cNtlZlvXGZl4i+JK3GGeu9H7927LTuDMLhtx8KdFoHrF/hytczgEZMgcnF8n+niKeJ62ynydhMQ13eec5NLXI91bsJo70E8qU7RqSEh6D8i2PdQlng8RjbZiRtarHrn6Y666UvvYa0xSySC9uy9ZSMrEqpsEkUhK/VJJCSW61eQJYWO+ACG143TfAlDSZAwshzoeYi6XSCIfBYql2i6JQayB+hKjXJ55XlkDJbXFkgkTbqz+autdY26U8DyGtTdAgk9x2jHEaqVOkZCRhAhSe0Bw8Tai5xb+Tor9StoitkmFSIIhc9KfQrHdtBiMNC5lwePjKDLcQ5k30aXuYfl5WV+4Ad+4KbKG0WDA29J0rvPQItJ5Po1XCci2dFeMudKy+gxGbcVsTrubqRG9oymbkt5852Ib1sxcCvm/+49nczPVZmZae+gW60y2dwojhswsek+jz76KI8+2va9Pnv2LM8/P87ePY8giKEbCqqi4nkhURTR0RFHUSRmZyo0Wx6GISPCCNcVmLpKd4/Em95871Vzo2tf+LuOvoe+3n1EUUC9UQQEuhaju3sXhpFgevoEJ898nj27H2Bo4A5KpTmKpTmEEDSaBXaN3cdA334efuRxFEXmhednaLV8RBTh+Q6KKiHLMpIk0TeQ5thd/QwNZ2k2mwwN7Ke/fzejowN8+jN/gSQFLC0WcZxgm42yZLTNcvxShpfsGfxdaZTOBLWqzZnTSzuOQK63Ob6+K7K5aJufq+C6IbFYO/OhIxejVGqxvGjR07MLRZ2jK1slLjl4YgFhWgT2s7iN9/KlL5wh9DtRZJ3JSota1kTLxUkBQ2tNEvNVZCEo3Te8EaqEb5OPgVxbIjIiJD0HltQmDRpplEQOETURqoUw5+jcW+MTp79y02wAKbLRW1/HcI4TKH0IJYkkXPr9Ge663+HD/+QJnOTbN+6/7gJoJPvIdGyyIn6NLoBdXV3E43He/Z4PsLby13zymVXe3NB47P4Rdsea2xQCm4ONlmv/k/m1b9C75yCZvqPISmzbOawrD9TMEWTFJGhO41eO76g82IAQgECENqG9ALYgqF/Er7yIXzlOYu8/uXkRcRtYv46gegq/dhYlaaEYB0DNISsJQEKJ7UWSYxucgtuFZVmsrKzw5S9/mdXVVXxP4onHf4BM1z76dg9x12P7ib36DJvpiesmRFEzzvFViAbuRtZCzk98mvP+FGHo0i2SdI656L17t2VnvFF+w/ULfLPqopoyXmihaomrznvt4uV2g3cA+oDmwokt993MTbhj8AnWWpPUgxVwfar1gLisYSRS+JFN2uzA1FLs73mEnvQYz078Caqscc/Ie/irV34DRZOwwxpNt8Kllee4UniZMAo42PsYY53HWJ2rsnThf3DX/QaIiLpdIKFnqdgr2H4dJOhOjRFGAZ7vEgQ2qiaI8KlYS7S86gaPIIj8tteAnqThlii5i6R7VFpBmSDqYq5yjom1l6nY7eKnKzWK5dVwvDqGGiehZ0iKQb4xcYbDo12M9R/A1FMcHb6H3vRuAC5dunTT34n55kkmG8/hRw51b4VAuIRRiBvVIdQpTi8zNDREZriTh+7sJK7m0OU49/6L99xSefOdim9bMXArO97u7iT1uouuK3T36Pz2//h9/uE/fhO2ldwm/Ws2XZaXy/zVXz7PqRMz7Bo9hmGkCDyBE3kUCk1eeH72an5BSLnU3t02Gj7dPbtpNgKWV+osLjvcdfR9fN/73sfAQDd79ieQJDh/pkGrFW6ktwWBoNUM2mOLuMKP/cSDaNrPbTgODgybjIzGNzwHZmdKPPXU50gmoFaxsSyfMIzwfUE8lsNqhvhei3RgMrarg+6edmqgqqrs2dvP4FAH+/Z18V9//Th79vQQS+g0m96OmQfX42aL/fU2x0eP9dM/sNW/fnPR1tmZILwadm+aGiNjHawV5nGcCCGlsMQY89bdCNtElBVS8gV6gkWqs1+hVlFJJjV0aYWccYFMbxeqFkeVJVKjIdmpEtnYUQaP9aNlTDRNQaR6+dIMfOCO95HZt68d+ysp7f8qGpF0Dq/wDCJoIkKPoHaWoQO382V8ZONY0LbdtaZ+D6/wNGqySfLAgQ2W/roLoBLve02z+OshSRKmaXLk4Z/g85/LMdd8ij/74gKpoXdxYL/YUSGwnv4Y6GOU6hBqA6QO/dKO57CuPFi/Jr07xJpix+PC1W5PBcJoGDnehZbehyE38CvHCZ0VvOJzaLm7di4iXgNCZ5WgcRm/cgJ39SkQV0c+voTQO5CNTvSBt6ClDxG2Kvhrk4SNIiIKUDM3L0R836fZbHLmzBl8Dw4deAv9ffvo68vx0CN76B9IUz5+63NcrU8x6U4RyAFCUYi8cGP3v86FiKwTtzjK7WHzAu+HLh9f+zU0QyIiwtRSyJJMdPW5JUlqt/834XbJaNdzE+4cfpyyM0c6mWP2fIWv/vFLHDgwQu8PCyIqJM08P/PobyNJEs9NfoyKvcxY/hgHeh7iE+H/iRaTsYIyxdYCfZndBL5PKHyCyOPc0tOUa2U6R3UiIupOkYZTpj+7b+Nce5O7eWLvj/L1K3+GLHQCx0EljixFV8/XoyPeR90posgqEhJh6FN3CkSEOPWQSAQsVi/Tn9lH2VrCCZp0JYbQFJNAcchl9mLqKQYyBxDVDOW5j6ErsR1Z/NenQ25GsTnP9MQqCdkEYRLZLSSRpu6U0OigU9nL0yenePyhvSRSJoYWZyh38DtaKXA7+Lad+fUkwc1e/pblcfzleaIoYng4hxFrsLR8GTMmg9jKtD97epnZmTIXL05SWInR2bGPRDJOFMbaxYSpEgYRlbKFbQc4Tlurr6oyvifQNAPfFxQLLSQ5pK93H6aZI5nspLurnzCMuOOIharKJFPtouXypQLFQotEUufAwW727uvklZfn0Q2FgaEkDz0yiiyx4TnQ2xtRrixQqfg0m6I95/QjoggMI0YQQBgGeG6Ll1+co7DWpLMzQSyu8ta3H2NpwePkq4v0dh8jDHJUyz6u66BrCp4XoOs7v422Hd5wsb8+9vnInb0MDGaIIrExs4drRVu+M0EYRNSqDpcvr1GvOhSLrav3hYXqbs6U9pOnHcbilgS7E006gmUKs6+SShwkk9V4/z6FldU/pzfTRyyRx2+4xEMfbTCGqe8mvb/rWiqgFuPVtfbuLb5/u9zPXiy2lQGKAYgdGfY3wmaWvnQLlj68zln8dVAUhUceeYTK6jhS81Wee+45osqLRN4uIrdAgELkVVDUnc9fEv7GOcixASQlhqxtLd42cxludE3Xuj1dBP7Ptcc99RjdXTH6kp9Ctv+EwCoSLb+MeV0RATfJCYlCQKAtLSNXyhRnZ5DlvyDWehI5WEMJ5gEdIakgGfhGmlAV2P4MlF4ltfQySU1syaEgdeyGr+ehQ4fYu3cvd955L5/9zEvMz1eZm5tA1VdZWo6B1I/qetysZAsij8vSEq2uXmJGhsLaOZreG5M63gybF/jJwnGKzhTtv141FKJdLN3Ire52yWg72RlHBMiSwmOPPsZPvv8XGMjs5w9f+hfMldtBRbpqMr764pbHnZx/klAEEIm2uVJg07BLdCQG6I6PbDyf31CRFHCDJkJuS3aD0MOKasS0FJ3JIVzfJqX2IJoJli9W2XV4kLSWwlMqeJGDiASaYmBocUZyd5Iy29+vxeU5Xl69QOxIBmQf229iagm8wKLcWsby64TCI212MdJxlJX6BM26g5lskzhfC4t/vYgqthYQIkKSZFJGF1VrmSBySZtdpJU+EFd/I6++n9/pSoHbwXfM2a+tNjdm2o26S616jfm/vOzw8IM/zKsv1xCRRyKpb5DcVlcblMst5uensCwFCQNNjROGoKkS+Y4YqbRJOm2wtNTAttuz+nhcRwiPi5dmGRvrQdVMAt+m0SyhqrCyXKdYbCFLbWVALK6T70pgtTwcx6e/P82RY33ksjFefWWe5aX6xs5bliVefXl+Y6GNsNmz+0FarRBZUggjNroM66YYAghDQavpMj9XJQwjYnGdnp5ezp55meWlMp1dfcTjKYIAAj+i2Wrfd6fuQDyeZWbSAuRtiz1sjX1eV1eMXyoAbMzsFUXmyNE+zpxa4tSrixv8jmKx1SZjRgLTUEmkVCYmX+CDH7qPvXsGQQgawVehFVK1ZJpRE1kqMTKUZ6AVgicTW1IwtThSS4MoQk6l0A6M3DAeeJ2RHtlLSEYXyAp+9TTCr4PwQcvckGF/o2MpiREkWSe0bsLSfyOz+E1wXRfXdQkrL6I0nuFo7wX2vVvncPdxnIUTRF4VJXKIvDJKfOC6R19zIgzqAYiQyCu3H5McRVJiRO4aSDpKfICEliZSUze8pq0juiRhEDEzXWH8coF9XRG746BJHoX5NZblWQ4d3bfBTbk+J6QzA7v7IW/Co/3tRGxTgbQBF//qSbr64PCdsGzDSC/UWvDyJWjZ8Onnz7FYBCF+g/t74P37Vb7/Bz9IKpnalkOxExRFQZIkahWNfH4EWU4xPnGGqcmIP1v7BkeO3ElvM8/dsZkbHmPZOk/VWERJdrJiLVATDeQdsk3WUa/XCdfDuN4grtRfZqU2hapKaLKJG1r4oUMm1nNDt7rbJaPdiHx4vRPew7s+wL7uBzaChTY/7sT8F1moXKDhr7T9OAip2MtAxIHeR3nHwQ9vPN8zrS9gJv6IQLhEkYeuxJFlhTAIrvr+X+HrV/6UtcIazaqH0WMTxatoUjcFe5IQFydoIMsyhpagKznC2w/+NAAfLfxHJElCk2PEzRx2UCeuZ2i6FUQUIkRIGAU4Xou58hkO9T1BpHosXXA4mH0Hd/TdD7AtS2DdoviZZ57hS1/+An/51Y/yng8+xvCRJLpmYnk1kkYeP3TaUciyRigCat4S2T6VUAR0J0foSo0wkrvjDX8evt34jigGNs+0O7sSBIHA3sT8bzZCOvPDFNY8dENiaDi7MfdWVBdJKfHpv/oNurvGOLT/CaKoTY5rNKu4i0XuzN/J/oPH0HQFSYKOjjj33DfIxMQEH/mNj/OTP/02wiDDuTNz5DJ9lIs+SC10XUE3VMJQYLsBU5NFJFkwNXWB2bkJmr9p8ba3fC8i0sjkEjz+pj76+tM8//XpjYUWCSYutejr2UsYCBRFICsyqgBJimg0qnR3d2GYBo26iyRJbW8BSaLZcPniFy6wturjuTL5XD8IE88L0AwFTVN3HBUIIdi/91GqFZ/Oru2LvapKVCoOth2AEDhOgL5pEV6f2StXb9q8eMiyRBiKq3HRNZJJg0RCISU9x4D+OJkLX0IEIYpcoKC0CN2AyG1xUL3EYP8R5LJBWIwQDY3W9FvxfA1tKEPi2G5iD2yXTLZPyMddfYrQXcOvnCDy2zsZEbbd6zzZQBhdKEoHyVtU59ez2yVJIQqaRM4SkpZBSe7FK31j4/5BcwJJSaAkdqFmDhPZy7eexe+ARqPB8tIcSy/9KqZ7jr7eCqqeJJmsE/kSyDqSlmvzIa4/ZynG5Xl4U/K7GBg7TNCcxln+KyK/iBx0oaYOEFpziKCMCBpY078PkrJxTddnLqx3e/rTFzGiBXx1FyuLLSJriTTHMZQmAp2Gm2FlwiKZvWb0dX1OiG6/QqzxRXCrKNU5CNf9PAzurw0iKx5Gxxr7cmOgKIRqN4cfTiDkOB/+hb34xn6EkuXKyW/wq//HP+ad+95LrnXhhjkU2yEhhEp3dyfJRILZmVnq9QaV8hp9vQ2SskJk7qyMSXYqLFpnkCX36nGucih2uG9nZyeaqvHCiy/wwqde4M+v/IfbPL8bY++jcQ68NYlhKmQYRQo8nMChHpRJRUNE8lZJ3OZzudUo7HbJh6P5t93wceNrL1FzCgTCa/OaJAVZkgCJSITMlE4RihBDjbFgncRMyYTCR9COG+6IteOIoyggrmdI671MFOawKYAc0Znqx2/4uJaNrCpIpkLCyJAxu0BiY6ctSTJRCFltgOGuMa4UX6HpVAhDH1XWiUSErsQJhEfLqwISd+W/n/nT/5n++OGNRf/6BMWB7H5c12V+fp4rpZfY9bCBm5qjaCWJaSmq9grF5jxuYOGFDiCw/DqVaJWBIzFkZBpuET9yGMvfxd92fNuLgetn2keP9SMEWwx2zp61sO0GuiEzOJjl2N39G3PvsV0dWFaZXGaQrvw+wkim2SohSeC4qyQoEU8cQtNkwkCQShnsO9DF7j2d1OpzLCyexzRlGjVBcNW8zYwrdHZmiCd0bOuqyYUqYdseQeBTrTRIxvvoyueolF1i8bYLYG9fijAUWJZ/lZ8QsLxYp9kI8XyHRFLGMGKk0u0chHq9zvjEHHv39yMilZbsIcsyqtp2KMzlTFZXS/i+jeu5xBOdhKGMefXHrdlwKBZazM9VSKXMLXJD00ggKxJR1C6o1lEpWwghSCR0ojDaUAWk0wYd+QRRFGEYKq2mt3G89cUjmzW5eGGNMAjxvZAwahcNqhzxvsc6CZb+HCdYgcChGnYiqxFhqOPZ3WT79uG6/VxIl2jqEnFDkHzwaxjJDrJHH8c40Itk3igeWL7KSG8rCSJnpb1jlyRCZGwhYwcelcY01++pt+E6drsQ4ZZYXkmJY8/8Ydud8CqEiJCcJdSB70Hte/dNZ/E3QrPZZH5+kZdeOsND+6uksgGm6aJoKZDjyEYncmyYDWfFqwidVSThc3wcPiwnQTZQU/uQ1hLtXZHfIL77HyKpacLWDCJsEfmVm0YNHznah4g8Gheexl55EhA8mg/x0x5xwyIRlyG2F8V+AK/AjgXnek5Im1PxLJIyQJTbtdHpkmQNPft2Im8Rr/Il5HiasDkOUgFJzSFrKSStgJqsEB/9X4CHeWUVovxuaF245eu5jmuGXO3NwZvf1g4yE1E7D8F+6Q+hETDjzhFf+QZxPctgxyHCyGf4rhgNf5W0SKPIKkkjR+0GzzM8PMw/+sf/CGfhAm8bup9fvON9Nz2v5eVlPvCBD+A4O9styypoMZlWqa1U+swv/wX735xk32NtntLnv3GSs19obJMKQjsr4uLFizctCF4L+XCnx11efZGzS19FRkFcLZA0OYahGGiKscUgSZYVCvYKyO3WuabEkGUVTY2xP/MQc9XzmEEXpUl48YUXGbrLJKWnefPen+JPv/JfaHktcuk8iqySjw9galu7e4Pxo1x6usn+H3szfZ051prTNN0y6Xg3llvhWm8VQEJTDGSxtcO4U5aAEIJKpcLEwmnq8gzZVKzdmZBSxJU8mKAoKk23RNOtosgKURSiKSns2gqB8L7jLYZfC76txcDtENgadYdmPcAwEnR0aDz6+NjGfc6cWuLKRIFCIeLuY9+HrsXbboKhgiyDRBKFDPOzEopUoFr1trHpk4kO5mZtJBRSaYWzF77Cz/2Tt/LgQ3dvITXadoCug2VbVGsVOjuG0fUYYRgghEq1bPPVpybamQN+yIFD3UyMF7EtH1nV+cvPfZr3/8C/prtriGwuhiRJjI+P8+v/7RO8/wNvYm6mXfwYpsLoWAf7D3aTy6n87v/4NWxb0N93hHQqg4uD7zWQpCSyIqPpCi8+P7tFlilJEpPTrzC2+39l376tPxivvjJPveaS70yg6cpGi3httUk22yQe11AUiZXlxsbxjhzto15zePWVeZYW6jhXCzVVlclkYiSUZWJmFrvhYukBcdVFUjV8ZYCat5+ieT++LtOshVhelWwshZJoEusske9oonifxpq+dOO2+yZmvZrcjb3wKSRJwRchVbuEIwSBpGK4q3iFr2/R3gs/JFprElVthB0gGQpm5oOIvjrCr0Lkb4nldde+elMnv9vhF+yE0dFRRkdHedc7J2le+A9Ysx9F1pJIahpJTaHEBlD0jm0KhaB+nljjc3zwzRBrfAZrut31Cq05EBEi8rGu/Ld2VyO1F0SAJJtIioFs9iJrGfzSi9s9ESSl/dyyjm8V0WQbVQVVS6JmDhAb/iDM3IkoNHa05r4espEjfew/byM3uqtfIQxeIXLW2jcqibYeHglJiI0OC+zZ+cC3gYHBrb8Z68ZCInBJKQ0u6HXGy18n+trX6dV76HvXb7NqX6ZzRCMSEZZfa5vsXGUXCATT7hwHrlrYiigEIchmMritDuLDw2SO3nlTk6QTJ07gOM4Nk1aXWucYb3wNXY7RY+4n/q9yrNqXudJ4DkTE40cPcP+/+RCGsnWRuXjxIh/60IcoFos3LQZeL/lQkiRc3+LZK39MxVpmfZFtZ02FIAmC0KPQmEVXTWRJwQ1srMBBhKBKOpIkcPwGM6VTuEGLlNHBanOWOi0ygzLIAdWCw1NPPkU9WEW0G2MYWnzHEU3OGGLlkkuHMUJ3qpO02Y0iq3QlRjm99NfUrCJuaCFLKp2JHgazB1haPE9usL25uFGWgG3b/Mqv/icmracx0oKH7nor4wsneeqZE3Q79/OBH/hhvvd7v5dnJv6I6dIp/MBCU2OoVo7PvXKCR+8zv+Mthl8Lvm1XcDsEtvX7VMo+rWaZoeHYxn0sy2PySolSySWZzHDvvfdg2wHNhksYRiSTOgODWZDAtnyqZY9cfiub3rZCDh14E7VqwNiuOP2DIZNTL+G6EfNzVVS1/eNgOwGO7eP5FtXKWlsmFouhawqu66CqGoVCkzCMyHXEyXWYVMo2rhOQzcVwHJd4PMvaqociWThOwIMPj1CtGXiuxfxcO7xIVWXGdnXw9nftJ5MxabVa9PbHadUTxMwkfuARuBVUJYemBuiyQk9vAtPQt8gyAdYKU3T3GOzafZ1nQNMDiS0qjoWFk9RqPo6j0j+Y3ibz7O5O8urxBWZnq1i2h6rKxOMamazJ/Q8N409P8OUX8vjKAZxsjQOJy8Q6HyF18EfoVjvYS3tmfvbsJQpXbBy/m8jfx1vve5R4Yo2ofgq/du6mbfd1Zr1mL+JXXiUSEZXGLLYQmFoS4TeJN85iL3xyi/7ffW4a78VZRMtH+CGoMnLaQDvUg/n2e3bsRrQsC6vRoJX9AKp7GSGnCNVexMVllOAUseaXUb0SvtVN6+w4VxlgGyYmclDCLTy77bgb5D6jE0nWARUlcS0pUVJMkLafjxy0TS9CpRslPtDmSVwNp0E4BM0pJMQ2HsHG43fwRJAkhcSef4gff4z5My/SdFZJphPsueMesgP3U6walEqzN7Tmvh7XEywr/gBXZkr8n7/4I7z1HgMlfQc//MF/SVytIOqniIIGkhJHBI02tyEavOnxXwvWjYXCVoWSZDNrNPBcp83LEUmE72CFVWJZhaq3iCrJSJKC7dVRkGlJPifts+QaMwyQ3SgsIqcBsnxLx8LNuFHSajS7yOK8jiorNKRJGoBICHYl7qDhlIjpCn27Mq8r3e5GZjrC7aA7ugelmuTETTgPp4qfZqp+iiiS8CMXEUEYCCIR4gYOkQA3tEmZHXhBu30uE8euRyTVTlypDkK02/tXw5XSZheW5qBrOuUZj/pqHW/o8+g5D80ETdUw9TjSTWgiYeRzbvlpqvYK3clRLL9GEHlEhERRu1Cx/AYTay+xVltl6Gj7d37da6EjMYAiqzTdMrOrF/nS/Cc5t/AMncdcDLkLM95WMVgti0QmjqutMVM+TdOtoMk6geyhyQbICiLkNZMTv9PxbbkKIW5MYPP8dvTw/gNdXLywRrnYQlYkXN9mednhr58cZ3Wlge34V6vVdgsrnTGRFZcgCEHAwFCWu+8Z4PKlAo4TkO2Is29/FyAxPVXGdQPGLzXp7t5NPK5w9Fg/rx4/z/33vJ+Jy00KK7N4fkhxrYlt+6TSBv39OeJJH/AolzxaTRvHa5FMJhEROE5AvjPO4FCGSxcKGzP5Zisgm+ml2QgpadbGTL5S9nji8Z+kWmkHhnT3pti3v5t6rc2sNWMKe3Y/xMqSS+Ap+L4PJJEUA9/3UTWXsV0Z4rEEVyaKlEotzp9dQVIcDux7jPlZi67OKorSLmpct12cpFIG2atBROmMSb4jTuBHDI9keevb92Jb/kZHZGK8yPxslcWFGo7tI4l2FoIQ4Lkhl84XaFZ7mYkO0mHeQ1asItwS3blBsvvbLm22bfMrv/I7XLpQwbYUXHcUI1ZlqnaKTDrJmw7FGEoV0F5D271hr6K0rpBSkwSSiiPHUbVOZLNvy+5atHxEECHl48iajPBCopUG7otzKL1p9PuGthx3bW2NL3z2cywXI2TvT7hrn0ToyyyuyZTtgFBz6OmApgWfeu7LvHjhI9vOTfWnsGde3hg1iNBB+DUkNYXZ/z2E1iJIKpKe3yADitAhtOfbJlbdb94oHEQUoIQl9g4ABCDaP72SlkORFMyB70PvuHcbj0BLH752QjfwRGi2FE6P51ksPUY2F+PAPQN0DGSucnjmb2rNfe0F3plgWSjGOX5mEDn9Vj5/uo7A5/H37WNkZIiYouIVnibyq6x3WKRNY5k3inVjIS90OFX8KnZLps/opeCsoCd3oSTzqJIBMiBJdCXaBLCp0knqRBgopOUkhmwStuobhQWApGqv2yRpM2420x/KHnpdrec3GmOtaDB0LMYd70qS7tHav0EpBRBEPphqEidsEIQOXcnRjZRBTdFB+NSWfEaTD7ASnsbyarh+i9X6NIKQvcP3cXDoATIdCRzHZ60+zVJxBkVR0FQDSZZwgxZuYG9RT2zGqn2ZcnietNFJ1Vml0JjDCyyQuModCPD89nw/EgFI0PDXmF5pFz77ex7mxNwXKDbnibwlJlZnkPqWMTIpsrE49WAVhCAIQnK7BEviON+YnCFh5nh0zwexvBpxPcPc5BLLlxx6YgdIGXkWq5c3eAl/m/FtKgbAttt2tuskQYBKxcJu+SiqTLVsXd1tC8IwIJft21hMC4UWQgh27+3ENFVsy2dmuozjBMTjOvGETr4zTmGtieP49PWmiMdUJi4XsCwf2/KoVhxqNQdNM+kfNBkYzPD0V3ySyTza1Z3v2myTarW9o+hPmzz2xC468kcB+OM/epZWcw3Pr6Kb/ZimihCCqSslCmstgiDamMnLMlSqy4ztjnHgwDCaplAsNDlxvEZP125EJIglVeJxjSvjBaYni8QTBgNDGQ7uP4apVWg2XQI/IggjwiBC1RSyWZNLFypoao25uSqW5bO4WCcMPB5+8IOcOd1k4vLJjSAjw1CRJIjFdIbHctz/wBCVso1hqmRzJoPD2fZ9MwrxuEYkBIsLNWIxDU1TCDZJNKE9JrDtAMeVMDN7sIIYmayLdJ0viyzLZNN76epco7C2SjrdhaIorC3L1MoK0wmVrr0eqdtpuwuBG9jYrVn0yENH0JQEvqRTyj7MsQP/cov+X39gCO1QN3J3kkiuECyfwXl6jnC+in1lETG6b4scr1arEoQBP/j4fSR9DdlYRFI87t1rEnndRLEsXk8vfvwIb/3wYxtdAbjWwoWtoUFBa5qweQXcAs7SXxIFDYQIiNw2HyCwVxBhE0lEhM4aQeMyitFJ3MiDJCOk9tjLsF7BXb2IpHehZe9A63yMWP/3tIsJSW3zCEKH0FpA3fUPkPUcavYuZDWxzRPhRiO6W5lQXY+dzI5Wr3yN5upF5IbF3t2PUyqukZZPcOXUC2SSOvF4jihoIbwqstmJbOQR/s393W9lHbsdceabl5lsLGMqfVSDBPVQRXcUTp46zdLCKnYlZDB+J/d234MyfoJpry0n04TGkKUQfvV/0tJTJI6+G0nffn6v1SRpM17vTP9mGB4e5uLFizc107kZpusvcbryaWreChIKMTWFF7WIIkEim0XRZJxmAySZpNFBJtZFqbWEHzrohHSM6CzbF5ANiZZfQwlUjNAhrqeRZJm0mWcof5DF0iRyS8J3I/SUjmHqxLQkgWjbRjecEl5gb0gr12GFVWy/Qam5QMlawA8crKBxlXQNoQjxhY8iq4Sinacw2zyOa64wlj9GNtZDoTlDJEKCMKTBPNlBBavh0lxZZX52CavhEEsppIcDVF0nEB4pI8++7muZKc2FEyRyKiV3imi1TMMt/X/FwOvFjVL4jr8yT011SCR1OvJxFFWmVnNotTyWVy6ze+/3s2/fMFNXSqiazLG7B0DAi9+YbUvmhCASgnhc2yZPnBgvYlk+miZjOwEybSlfNtPHxXMNWvUzlEoeQeAyNGoSeDKuEyDLoBsquVyc0bHODYJUENSZmX2FsV3DdHbGScSTqKrE6loTxwnYvSe/MZOfnm6QTnUhSRK7duep1x0+/qenqJYDJFlGUdp61UbDxWq12/BeEFGrOYR+2F7ITQ3w0TQFRZFIJA068jE68nEaNYd63SUMIkxTRZYkPM9Gom0uEwQRiiwTi2uoisxq0GRpqUap0MQw1W07wM0yT11XNsiQluUhRLsIkGWJREqnqyvJ4nwRSW5HkKpyBNuKAYXOfC/lkktv4jKq2cVS0aBSbZExy5jRFL7n3pY0MJR1ViOZktLNkKljJgbwG5P0+S2clafxpPch+WkkQ0HuiCP3p5G6kkSWR7B6Cmv+Twj1AlGPi9BTRNPZLW30deb+O+74LpJ2nEhZJtLOIOQmUn03avFB4vufQDvWQ9C4vOXcdNvm/gMwP3uFWK5CqJm0sh9A884S89cQSpbIyiAHEaroJqSLUPSgR02U0EEWFqFjU6sbCKWtv1f9OXw7y1oV9ipZJLXNN5HUJEb+YSRZI6ifx5n9E4L6ZUTQJIoCGud/CVnLEhv5cWID37fFE+FGI7p61eb48QWWbsLhuR47mR1VLq4iolm6EgvsPeRzftylWyrSGfwV9qVnsDIlIme57ZOg70fruB9aKrLEtjTBfC5LMh7btttVNOgc1ZEUCbcZUVnY2llIdiocelsSM6Uw+UKL7IBGz16D4ozHmc/9/9j1QIw9D6cRqsf51efw7HHqURVVgpYccNq5iOJVGcnsxxi5CzXdfdPX4bVi80z/M5/5DJ/484+xEnuWOx8aI3us53W3nm9mpnMzrDVmePXMOULVIa12kDQ6UCQVy29geVVc0cC1WggJNMnAixyCyEeT9XaQEQp6XKIVFPGC5lV+gkIY+XSlRrij7830Z/ZxoPdRnr34CeqtCl5zglReECkOdbdEyuigai2ja3GmSydpuEUe2fXDG+eoy3H60ntYqo4jBDhBiyD0UCQVITa02izXrhBEkOxUKbrTDOVGSZkdfH3yT2l5NQw1gS/XUDtczLJJfVkg6y6e4xMJQedIDJJ1ejJ3Y4nytteq5i3Tf8gkiDwC4W2sCX/b8W0bdlxP+oGd59kvvzTHxQstFEXfmIGvz8GFEDz/9WnKZQtFkfG8EM8LMTRlg1vakY9TKlkIse4XoKGoHlEoqNYsUsk8paKP7xXx/JB4vIP5WZtatf0m5zoSmDGVREIjDKO2D0KjgesvMjt3jiN3PEjgy3R2x5AkQaVi05GP8+gTY6RSJlbLo1ReQ9MMysX2MU+dWGRlqU4UCUQUXeVA+LhOgKJIdHYlSCd1Jq+UEYBhKFe7DDKptIGmKSQSGqmUgSyDGdfa0kBNpqcvTWeXz//z33+Tt73996hVFMoV66rRkkJvX5JS0aJedzhzapnOrgSDw9mNHeB26+IOfD/k8qUCmUyMvn6NWEwjmzPJZmNUqw7VSpVKdZnde3qp2sa2T5WmqbzpLUd46KHdqKunIZgBJQ0oELVQQpVEZu82CdxOWIg0Tmuj9KZTyN4MtpAQgB5aaJXTzM78c1KL7yMWDW5wA/R7BrH/8gJ+dJEgtgxWAsXsQ+vtRk7EtrTRffMIv/mX8JM/9y7GxvYhdcWwVz+Kt/TXRJEO8z2EUwHSrvPYs3+yRXWQ9Vp832Mqf/C7v8rjd8JqBRrW79Odhd0DcGEG/ssn4PBoe8wwtwb37oOfeBfsHYCYDpNLdX7qV/+AltPW39+9t52PML2q88QH/xGxeAu/chy//DKW1kFi94cRkU/oFdt+C5IKkoqIBMKr4q58gchd2yBn3mhEd/bMCsuLNSzLY9eu/A1NqHbC9QZOydwgqmXQIySGu08iyqfQg1W6YnFibkTYipAUEzV9CKP33ej5h5EuPLWRQxFmkxuz+UR5ntO/+0+pjr0DjGuF4mzzODPNl4hESM4Y4ljH9238Wxj5XKw9xYp9kW5zL4c+/C4uVp9k1Rmn0xjj2L97P3PNEzSkOTKZDCL0CeQMhlei4pXI6Dk6jR46cw+QTAy/7t3/reB5Hp/97Gd59tlnKUcT7LtzmHQqc5vJB68dN9LZrxPsKtYyqqThhTZ1u4ChxdojWLOTteYsQeihKga9mT1kzC46k8PtXXxoE7kqxSmPA3sNnKiOpuh0p8aw/QadieGN51Ikle5cPwfDe+nMdTFVOonrt1BVA1XWiWkpgsgjG+shE+u5OippazyGEndx7I6jnFn8CvVLv4vl19Aw0eUYtl9DQiamtrMRGm4D3ZDwQ4u6U+T5qU9Sai2gyQamlqQsFokkl1jcQOoJCCQXUY8QQibdJyNUD0kT4O3wGraOk+hQSOu9CGF/i96tv3l8RzEfbuRKCKAqGhcubG0VCiGYmmxQLHqUSz5hINB0Gc9vv0GGKZPtaO9ic/n1H7MAqyVYW3EBH8dt0t2TYmAow9JiiWymh8V5BzNmkkwahGFEs+6yvFTni5+7BJIgmfJZXnLJZY8gRBwzBolExOxsjURS5fCRXnK5+MY1GIYCSBtSPMcOME0NP/AJgraGV9PabVxVU0ilDUpFG8v2SSYNgiAiDNuhS7qhkEy2kwIrFRtnKSAe1+jqapO8+vvT6GYNTTMJo7YoSJJop8VG7bEFgOu0d2BRJG7aIl73TVgnQ+auyg1btSZXLixgtVwyZoNm8SK6fg9hJLNToTwwmEGIJK2oh7BlIcLKhqxPNvbtKIHbCXWngB20aAQW855HQ0uRVnvoxgZc7PQFJG2MRG3fBjdA0lUix0f4HkINkaMYuvNBYv33oI7mgK3WwlEEUc5A3ZUnsjxk0QGBaFvpSgFyok3SbM+8ZeSrUqhkMs2HfuQHeH+QQvGm2+1LZJSwQGTNoylrfOX3v4ueVBUh6YTaAHJUQ3MuIEUtJOHS2d/Hi1/6+3ixuxBK9uoHPaSzq4eh4WGECGlNBnilF3Dm/4zIWSFyVwgb44jIRU3sxhh4P3rHPQTNaYLqiS2eCDca0a2tNrFaHoapounKDU2orsdOBk79uQUaXhI9N0S1ZeH7LrZtksl1Iks6HfkhtOwx4iMfQom10+o251CESseW2Xwq18/w4QMbu/O1xgxTVwqk1SSCiP5sP3cfukbSG199EcI6Y7kDjHXeRcaU6U304JUL9GX7SHeHvCP9AxjXzeSfHv9DotJJhnKHv+UM8SAIaDQafOITn2C+eJnsoQZjIw+SSCZIm9/coJt1x8gbFVDrPvwiMpBDkyh0MeQ03cp+wsin5VfIKP2Ug3mkSKbeqKB4SXx35qoefw3f95Fk6aoIUaDIGnE9QzbWs+EkuI71EYkQgqXqOE23zIWVZynbS3i+ja6a9KR3b7wHS7Rn/utkPV2JEYmApJ7D0BK4fhPbryJLEqaepCsxTKsxTuALssYACT1BsTmHqSboTo6xUp9ESAJV1tkzcj+e71JuLTJenSTXZxDT4gxkDhDTU7S8rX4X42svUXJmaJYCVEkn4ptXDNyoWPubwndUMXA91tvVhmHQtAr82I9tJ8bs3/so9939PtLpbiy7zvkLX2V5td2+9X2X1bUrOx77rqPvYWToKIqq8IEfuJv7H9zP7//u19E1kyAQyLJEodCe/auKhOMFrK61UGRYWp6iVe9koK+TifFJnv7aCbKZPro6x9i/f4ixXdcMKNZWmzTrbSJhKq2iKDKHj/SSzcWYnJzhc1/4Lf75P//nDA21iWyqKjE7W2F5sYEsSYRhiO+3uwKaquA6Aem0SRBENBsumtY2RlIUmUrFZm21ieO2uPfu72N5wcF124t/IqnT3ZPE80KKhRaeF6LrCpmMSf9A+oYt4igS2xYPp1qktFzC9mUSikWnd5a+pAJCkIu3OQOWJ2Et1rfFU69LBCOvsk3WdztI2bOMGUm85BANjqEHDYzaK1hqElXKoMs6sY4W+v4u3OdDwuU6QaFJ/HsP41ZLiJUXiVbArfwBwQtfIhb7LoxN1sKac5p9gyBFFkGhgvWpr+ApXyJSSjiLPcysrfB7//W3ePt3q9w7MocIajTcLJIiMzjQjxnrJqauIMUzbR6CbOCVX8Ty5tnVB5n4AjHZBhEgSzUkI0UYRohQIISObuikjBNoSXdHqWVb2tiLJGsgIiJnkchte/nLRjdKfAxJ0QGZ2OD7cSR5iyeCrMa3jeiiSHDi+AKNetuGt1rdqo2/3oRq4/abGDg5vsaFBZNf/tUv8vYn7uPQ7jvQpG52DQ6Rvev+be/39TkUW65502z+RjKxzbhd973rmfq36/v/zcDJkyd57rnnePHlb/DOv3eQoTv2sG/oKEVr7pv6POuOkWrK4+BbksSzCsiC0qzPmc/9x23jlNygRvceg9Ksx5nPf4HD70jSvcfAdyMSOYV4TsWprbJ65STpToMH33kATdWIJOgY0rDDettSWI3fMAZ784hkON8muq40rlB3CviyiyrrN30PpoqvUrcLaIqB67doebWr3amIllfj8tqLSKFOoxhiSCn8yMFUk9w19F2Ekc9U8QQKCru67uHDj/53Pvncf6W0VkU1JPSYQsro4Qfv+mWOL36GYvPa+7E5+GnxnIMq6dc3Dt4QdjJF+pvEd2wxsLldPTzSxcc+/js4zlZLkGrZ4/SJOtVaOyp434Ex/tHPP7jx7zdqbVpWyNSVFtVKQE9vivsfOkAqZbT1z0IgKxJhIJCAWEwlnTLxw5B4TEdV4cqkByggAoIwIpceJRHPYJiCwRFzg3C1fg0tK6RSW6a7u72jHxjMMDCYQdWLnDz9OSJ+mHiyvbtstQLmZyu0rBBNlWi12j/WQoDtgKbJRJGzEZyU79SoVCxcN8J1QvxAwXbqGEacIBREAhRZorcvxcBAhpdfnMPzwqvxyRELCzX+8PeP47kBjuPv2CLevHgIITj5zCotqUXclDAUnyvNvcS7Qmw7pCIZXHKGqI7HiUpTbb6CIm+Np07t/CFfj0peLyBara3kAxF59AUFupUWsqyCpCCwWY7qVAOFsNHFsKcg2w2s+VNEi1E759xUUXflCVfTyH4c4dcI3QYiWMGZXCXoaFsLy0Yew3qRn3gHJKr/k1bQhadNE0WrSHYMvzaG5fkMdKv0mbPIfhFV9lANmzBSaJVtjK4eUskuIr9G2LhICER+A4HUtqFW0ijJXsLWFJFfR0Jq+xnI/Sh6DiV1EBHUN3bzSmxg2847rJ9HSexCSezC7P8e/MpxWH0SxxE41SpS5csI+WkCbYxQzmM4VcLGAi37FYSS2vG1z3f5pLPrDjdbi4GOfGzDjngLrjNwcl0bx42YmC5xbk7na2cu0z94mHTnO3C1UfR8H8OHxpCNHQiJt8ihWMdmmZim7kxsvF33vetxu77/3wysrKxw7tw5dt2VIdkHfbld+G5ErVYjrE1T6imRTCYxDOMNPU+xWMT1Lf7Nr/0sUqZGRu+n5i3RaYxx5N++9+bjlF9+P2crn2PNnqDDGGEgfoQV+zKabFC/I+JTx38N12/RldpP0V0lnlPQZZNUPEsu3kdXcoSavbotZ2GnHfD6a7/O2N/8HgSRR89enSXrPD3VBEHkoSkmsqzgePU2Z+Fq0RGEHjV7jQ5tjIFDJmfKf4lUh0ysC4DZ8hm8yEGRVeJ6mhen/5yV4iKF8iJaXEZVFDpSnSw3LhNcle8KEXFp9RvMlc5QtpboMEZYuXwtvyKKAiYLx9/Qjn4nU6S/aXxHFgM7tauvJzLVazZ/8epZbFsmlYozMpojlTIpXfU2uVFrc908R5Zkdu2Ocfc9A6iqzIVzq0ShwHWbxGIy2WyMRFJneDiLGdNYmKuSy8cpFevU6yUsy8Iw0uSyg8jyMJ7fIJc1GR7Ob7uGRFJh4so3iMX/6ZZzuV4KlIjnOHzwzYyO3E0Y+qwVpolESBgGuG4LgDD0yOdHyOeGgLYRTCKRw/VsfM/CshrUmwV6u8dIJgz8oF0MxOMaU1MlLNu/+rh2sRT4IbMzFRRZIpkybtkijiLBldMdyGUPLInGchnTD+kJW0jlSepeg7pn0GiVMIrPoKoKQX4/q2sy8/PLLC/P0tO7/QdubsamXPbx3JAwAkWCerPKvr2PEoZXvxiSgqylEV6JoHam/Xe9g0DtoC5kOsIAnBBR1QnnXUTFA1kiqjkIxwc5hqzsRWplYLWONGwhaeWNhdcc/H4iuT3eUYIikeSjjhlI8lFkcQdrVzQSxUX2pnNIYhLXj5A1QRhF2F4MFQWrrpHf/Xbc5b9C1jqQ9SxqYhe1Rki58RRptQ+98068yG8bB4UucnwY2cijpg6i5R/AXXmSsDWFV34ZSTbassTrdt6ykcfs/26MrkeRZJVqaZlf/e3/m7WKj2nAHSPQkQbHawdJnZ6E3/ncHxDu4Gh3K9zI8W5zzHLkVWisLDA7u8LP/+r/xeRsmVgswwd/8H8lFutkYKiTO+7sJZ1+/Yvb5p3Z/p6HWanv3PV7vUz92/X9/2agVquxVp+l/w4T0zDYlbuXyZUzlEollktNFgcXGRgYeMPFAEDvARMtazM6cISYnmahYtOfGyCTF7ccpzw+/F78yCOhZym3Flmdf4WyU6CebJDuVlElE5BohQU0s21T3LYEBlNL7tiN2WkHfLPXftE6w74nElyufQVtucXervs3Fv9CY4aKtUrFXsL26phakly8D8fy0EyJAI8o8KlYAS/PfAaQUCQFTTGZKp5gtnyGrs5R7uw8xkL1IrKkoCYivjHz8Y1u0kL1AmcWv9r23EiOkFDzdO0yqNYruE6FWvU4J6eeQZNjdBjD9MfvIBIhppKkwxi5wVVdQxB5XKw9yao9vlGsJam+4ff9teI7rhi4LVfChsurxxcply1UTcY0VSoVi1rVRr0qoduptbnTsYuFFi99Y465uSq1mk88nsVxIlRNprsnSaPhsrraJPBDCqsNCgWLRx99M7GYxsJcm3ClaQoDg7vp7U/T39fPuTPLXJkoUlhrkUwbpAwVSVK27XQ3S4FsO2Rm0mJh3iYSEI8pqPpjKBJoukxHp8bgUAxZbkcq12sB9Xo7RllRJRIJBVWT8d0IWQWESiIZaxuGRFE7i8DyMQwFVZFRNZndezqRFYmpKyUURSKTMbe1iGu1GidOlNuKh6vIzhXpHq/hVnyiRgNJODjuCsuzRabSBTw1jhK9iF47Qale42PTKYb2vIPO/BCra1O88uqntr3vD97/g3TkBrGsKn7goigqqWQXe3ffi++1eQrri0/YmqI1/hEir4IkKXQm+klJKVSzhLwWQ3HuQh7owHfLiEIT58vjiGa7MMB9DNZsVEXG2LOXKP/0Rhudvvdgpz/A73/p13nvT72foV27towx5IknMSdK6K5HFAUExLGkJIHWCbKEqrZQwys4i59BhA0kNYuauxfhNxDyKSpNGJVAz92DpCTwVr7UZkFLMkQ+QfMyQfMyoTVPaC8hx0ZQk2MIv7ajdfI6x0LPP8iaFqEqv8L/9tNvJ5MfQPWuoPoLICn4xmEeSb2Hv/9v77nh904OSqj+7LbbZ2bn+MGf/A83dLxbN4MCGMhFJPqqZDs/Rrcdp6frTlZXLSzrNE3rEsOjb8MwB+nufu3M/OsjeXcn9rG48A3CZhE/mMZbmUDv3Xv1c/L6o3//pnDv/XdTMk7wysRTvPr1Cf7s3/9zBu6LSA6EVOcCotn/yXve8x7e+ta3vqHnafhrDBxuFxTXF1C3O07Z1/3Axs612Fyg0JrFcVogSQzEj1BxpnDC9mbF8zxkOUEoZNw6lIMZ4mpuI2dhemKeC9UnsYIKIIiaMU7YNzZAqnnLnJt/Fk2XaQVlCo1ZDve+ifce+d82zjcSIb/z/M8xUzpFJtbNaMcxTjefRjXBVNK4oo4qayT0DCmzE1XRcYMWhhpHlXUy8R5KzTnyiUE0Wacvs4+kkdvoJgWhT81eIRB+2wchLHLwbUn++tWPEUYR6W4VEUGj6BP5AkFb6rh62eXM5xu3fI8GjpjsfjCO0whxWxH5EZ364pM8/Os/+rqUIa8X3/5vxSbcjivhOht6eT0IiHZ7udFoh/sYpsKBQz3s29+9pbV5o2OfPrnEzEwZzwuQZYkgbKca1msO58+uIERbXmeYKn29KXSzHYnqOm1TC8NU6epMEgaCictFJi4XsS0P3w+RZZmMFUNRXY7d+V2MX2yQSi61W+VXz214eJhcrodXX54HZJKJ9nN19yTRdRXb8SkVLSpFib7ePHsP9pBKNTl3ahlNb5KI6ezamyeVMhm/XGBttYkQbTfDdNrEtjwqFRdFCZGktmGQrsPoWAfvfPcBLpxboV51yGRj3HPfwJbRyurqKh/84I8zO3duy/v0g50P8fbeB5GTadKaTRIP3YuTFGP42gBTpkXgNak3bFYXXmK5UqHTqQMSqtImhMZiMT75yU/S19feD8zP2u0QqbyOYcp4bsTklRaOreA6+sZzy2oCKX0INX2QsDWNCFuYhMSSGaTcLpSu/ajam4iWbYLVk0TLEVHDJVxtQCiQdAW5K4l2sBvzvlGc8jVr4cBaQHMv0pkBda5CkKyh5H0i7zwKB1BKDhIS5eYq/mqNSstgrLeMGXMQSheK5KFH83iFGVBMguYUzuKnQbiYgWC4CxR/Hnv+48haBtnoaBsSRT6SkUfW8wi/TsgCsmKixHqJ7/nHCHfl1hwLSaNpQS6XozMLfktBWAqS0UV+9w8QH/6hNs/gBnDXvoo9+8IWdQSA2ekz2HXr7y60/SSSySR/7yd+mskrTZoNiVqtQKU6QblW4/AdI8Tj8ddVDGyO5E00Wpz90i9R9+bxohK2WOWCG2d/xz+9oWHN3+QI4HZgqcsoWYt9o3fSKUJ0Z54V+zJ5PcnwSD+7j3aQ7bx1AufN4Icus83jJDtVOowR9nXfv6UYiGkpetN78FyXiStXmJqcRI+p9I92cGDs6MY4ZZ2nsVK7ghc5uH6LUPiEbkTNX6HgzCIBTl2wuLBA6ApKsx6h/zW697TlnGe/0EBW4MBbkvTsMait+GT6tA2p505QtGv3lxWFVrjGTDnk/MozDOYObLqnhq4Y7bFB0GKqdAI3aJvVKZJKNtaLIikc6H2Utx/4MF8d/wNmSicZzB3mbft/imev/AleYDGYPchb9//URrH49PgfslybwAmadCQGaXplEkaGRND+/Bpp6B7sQFM1csYQ9kgDN6yjygaaEmfvux7l2L9//03fo4a/xvnKF3HCOrtTj1L1FphYPc5nP/a1W1pOf7PxHVMM3MyVEK61qyVJ2kRoi/C8EFVth/sI0fYOqFUcoii65bHPnllm/HIBzwnYvbeTUqnE8VfHGR0dwrbbAUXZbIx4ok2+e+CBIU6cWGR+tkqhYLfZqwmdRFKnWGzhOgG+HxJdDdEJgohqxULVIjo6Blhb8Ri/uEYqpW8Ev1x/bvGkQeAHbX+Fpo/nBURCYLU8Gg2XQqGF1fLw/YhsNk4uF6NRd7lwbpVarT1vN4y2AVKh0MRqtY08dE0lCEIURSadMVEUmReen6HV9JAkiVwuhq6rG0Q/gGptltm5c1v81YUQzL5Sobni4KR07OYZVkpxxhZUulqCYz0JOu/uwfMEui6xZ1+SWExmctzCtkMGhk0s+7186EMfoq+vb8OqdQfHViSmmZosb/PGv749vb5I4nbhfnoRz5oDL0RWZaJ8HPVgN7HvvYPAfxV0kDIuUjbELpzBW32qbf6jZwkal4k1PsePvU0mXvs0zVd0JE0BkUKrfjf6lIowFJaUBmOBRzJ0aDTAC2PE4qBqGrIsEEELfAdBDYQNRG3+iQFS2CJsTSG0DmSzi8irtosav4be+SgCGdnoQkruweh9B4qeAf3mWn+v+Dyqv8SfPws/+6/ez0CfCstfJJR1SD9ATX03azONLUTOHb+DO2QyhI0SlnPNYlm3x3ngIOj2CdxCc4thE/9/9v47TLLzPO+Efyefyqlz93T35DyDQQYBEgQIgjmJFklRVLKCqehdW45ari1bku3Psi3blNe0AkVZFINpmhIzGEDkMMDk3DmHyunk8P1R3T0dJwGkgPXe18WLmK5TVadOhfd5n+cOgKIo7Nv7RkJ/hkajztxcAIJHpVLl4rkmvjvH7t17NlUmXAurd7FnaxdwrVEQRWJihEW/TsM8Q7o+vqV9749yBHAjCCQDJSLQO9iGHFnES0vYV2SiSoq+3VnE7gX0zC3MdFZhrHCSgj1Gs+wTk3OMF8+smYOrcpQ37fgpnnr8OfLHFxk6EfLgT/YQSBUsz+CewR+jK7mT83NPMFk6ixPYNKzikmJAQI2JFKxRgtBDllR2DPaxa0AjJmfo0HcjiSqL5hA5fZDbfvsDK6oFXUqhSTGK9viK1HMzLB8vINEMF2j6RcJw4zx9sT6OJkfpTu4hCFwsz0CXEpi1gIiUBMFt5UgIIrKkIIsysqgiidJSvkKrayQu/XsZYehTs/IEoc+RnkdYqI/QlzmIVtuGUf4T2rYrCFJATE+xt/cuXpr8ayAgHk0hIqCnQ+J97pY8Ate3eXrkLIrnsyd3Pw/u/kmeHP5LFqwrr+h9v1W8hoqBzSVPK7cvtf0VRVwhtGWzURCgozNOJKJimS5XruSxDHdN0tpmj+25PsWi0WLnJ3Ruv7OP8XGL0//6W7zv/e/A9/SVqGNBEFAUiWxbDFFoSfogZNtAmj1722lrjzE6XGy1hhZq2LaP0XSo1eylD25As1lGVgRsx9/y3Ar5Jobh4vsBQWC07H8FgXhCRVYkFFmkVrVa44eEiiSJSx4KIbWajev4uG7LjtmyPbylwkRAwLKWXQMFPDdgbLREs2kjIJBM6czN1pYKF4l0JkLftjSlokMi3rbGXz0IQkqFIbyUgWZ6uI0sOh6SIIIQQkQnmUxTLpmYhsfCnEx3TwJVk+jdFue++wcZGbm+3fBq46PNvPFXt6cBnJMzhF5A0LAJ6hZh3Sa0XERJRMpGUY6244ycxq2cwp8Yh4mwFTTkmyAqCEqawClA6FCuhwRhN4KjQtOHQCasiWR39ZDZeZB3ygEx9xsUjHY+/cUnOLp3N4cH6+zoNpEDD3wfAgG8GMgeiD4g4HkeiApyYh+i1oacuRN7/rGVYsBe+BaIEaToAHLqMGHgb8g4WL/4LjP6o9WL/MK7INL8Lk4hQeg3qFqdTJd3s3h5Gs/18UOf733v2yiqSVe3giCERCIRUqkUH3tPKyNBkOPE9v7mSuBQ0zrBTOGTKxbLkfoCP/mWq6FJ63MPlj/PqVSCeDxOV1c3oecQuhahZ5PCxZobItZ3cySr1aTAQM7iq+14ikxx7iTxhkJcen0lx61+PaUZE7MESb2dwV19HNp7Ox42NX/uFVnd1qw8rm8QTUlMNI5THxnZMAa4o+d9/ODxJzh96gzzcwtEsgNUggJXFp5DEOA2621cWniGqpVHFERUKUIjLOGHDvE2CTtoIApCq/UeNJAlGz3eQXdHN5loN7drbyQb7UGTo4wNLZDTctzZ/17ma8MEhSo9md41stBlFBpTjA0tkFHSKHKERmEawRexvCY1M79ynOtbnJp+jJIxR1JvZ7J0hpAQRYpSW/DwmxFcv0FIwOzMDCesExsyGrbKbFgslwhthZjcTmGxRMWuIhrTFPPnSXXJiEuj05iWZrJ4FscziatZREQsr8F46QyOZ9Gd3k1HYmADaXJ1tysd7VpTrAmiwJxxAdPZtWW369XGa6YYWHYlnJycoVrdGCQqyTZnz55e87fsUvvS8xvUG0v/7TUplW38sM7LL1dXFpFsLsbOXS35XhiGnDszh2m6xBMa6ZTO6HCRuXmLvbvvp1J26e5OrUQdL2NspMili3lM06W7J8GDD+1kW38aYMUIaWa6SrVi0mg6XL6Yp1RsIkpw4tTXeN/734YgsGana5ou7e0xolGFZtMFAZIJHVkRKRUMmk2HIIBEUuW2Y700mw6m4ZLJRDl2x9XA3mW5YLHYpFQ0qFRMIhGFaERheqqK7XhIkkg6E0GWJepVC88NkGWJjs44ubYY87N18oUKYRAyfKWA7ze5/dh7mBg3OHy45YS44h65UEf+1mWcsSJBs07T6aTRnkXY30lnVwLb9qjXbaYnK5imw7b+zHWtbZex0fjo2rLD0PGwnx7Dr5gIftjSO4sCoekRmksBRarSYr4DgVdvGQ1JkRYXQO9FSR1CXAr3aVghlSO/TF/PIYKKCW6AGFERuxKQ0RmcTmIPXwJmuPdAjmRSIK41iCgGuCEEGkLQjhBuIwzHCE0IpTKqaENoI8V3Iyf3IylphK5HCaw58K/qlQVCvMppvMKzrV7pKmwIHVpm9ANdGZC8OUIPpNh28sU+Zuv7icUlNE3ArE7TGx8jDH0aM7NkcyoJPUtWbif0W/vm9YFDQnB11BYGFqGYZGIBfLkPOda1IfdgvbuoM3sJ48pThG6TwDGRPR9v5DDcZDGwFSmwMHeCaKjwUPwBcsmdN/WYf5NY/Xrq5z/PsycXSewTUDUFNzQQBJHL889QsxZvuRiIKAnSWi+1RZeE2kFbrHuNqkIRo5h1l89+9rM89NBD/Owvfwi36zJetUDDKTFaOEnVXCQIWiTmbKwbSZApm/OtWOOwFdYjihKOZyGLMggCcS27hnPQkRjk6ZHPr/A91o8r1mM1PySiJHA9s1VkujVCQubrIyvHXph7iuMTX8VwKszXRrHdBlEtjS6HBK7IX33h2+y4N4ogwlNXzvHi538P17w+U38rB0vXChAlgUROIfBConKGiJJkrnYFUZCJL4U32Z5BREmuOBRuRprcirOhSwmyfQrDtSc5WD9yS2FVt4LXTDEA4AdVHnnrXRiGcf2DN0E208eRQ48Sj2UZGn2ey1eeXrltNSM6CEJGR0qkMz6+H+J6AcWiQaXs0duzn1rVItdWo9kMOHGilRhXWpIx1ioekahEe4fHYn6ExaUidbnoWGbFN+selYpL4IeIkkVn+058N0RQr+50z5yaZXqqimG4eK6PY7tEIwo7duU4dkcvxUKTr3/1Ivl8A1HQOXCoi/Nn59AjCqmUzvYd2ZXn3bEz1+JFvDhFo26za2cbh452MT1VxXFb7cZEXMN1fQqFJb/xuMa+/e089Mhu4nGNb3/jEqWSgbdkjqRqIvFYjvlZm8mJ8kph1NuXwhNDDF3CDF18z0GIBiT70xx4aDtOe5JyyWRutr4ii7wRa1vYXEly3QJCEhGTeks14Ljgh4hRFWkwQ5BvIEY1MAOiOz+OqLUR+hai3kFs+y8iJfatzN+d/A8AUBWIGZ/HdvYgdx1Czdy+ckwYhrR1dDEzniG0zrG9yyYkjyyHSHJLnoocICV7ie35NazRz+FODxH4ReKxENmdwpz8LHJiT8sFMXcfau7eNd7+bvklvOYoYWChpu/cNEp5Gcsjk2Z5O//9O1/kLR/9AP07b0OKDhINHA5uazl6GkaFidPfw29/goim43gGkUhAPB4nEu0itFva/vWBQ9F6io5VTx+IEf6fr8JH/9EvEF/a0a3Xkq92FzUcl9qVIYSYBjEB36wutZlvDluRAsVQRCRodaZeR1j9ehzLpVat0x2LgxSQb0ySjfa8YonZge4HMedi/PKX/x13/OMPc+zQsTWqimNtH2BifBLLssjkUgi5AsXaLM26RdNtEvoQ+hCPpPACB11JENdyjJdOAwKeExKL5UD2sD0DRdLpXAowSuntK5yDa+2A18sO4So/RJOjVK1FDKdOyLLdMC2TorknaTpVvn/5T8k3xlFEDS+w8QIX06mh6AqPvv9eAk/ACy2aXon9e9L80k8+RErtRhKULdn+WzlYThtncAMDWdAwLZMLI6chhJnKJfzQI65liappSs1zeIFLXM0QhiEzi+OcufASTzz/GDt2bueBo+0EQbClBLZUuohR8YnK2R9pt+s1VQwUCgUMw9gyA/xaWO0dkEzJ7N7zISLR1q5mfQb4ZtkIzabDyy8ZOK7Jyyee4L/9yVdYzI8BLcnfW9/yK3S0bcdxTGbmLvLVr191pjLNGqfOfJMwDLj37g/R0b6DWCyDrsawHAPHNjh08BEqlYBEUkTTFCplk8XFBtWqRTyuEk+oJJIalarFzFSVeFylWGhiGi6qItPeEcMy3S1b51vxIsZGS5hmy+ZYUUTKJXMlo6F/MM0733MARZEQBOgfyGCaLvWaTU9fili8SrE0heeFa0YbbnGS6ot/gRexGIqdodloIM4u0l+rMF04x9CDb2ZupnWeEV2moz1OT29yhQi6FW5ESbIZBElE3teBtCuHoEqtCHbHxzk3j3dpESGmICgSgqwiRbe1ugFaJ3b+Bwjll5CTrQV/2TqxJweSO45bLOFWTuCWWz4EnpilWq3yzS/+K6YnDA52eEihRyIh0JGTQXAQZA0CE1FUsSe+TGCVwE9BqGBbAlIksvQ8AqLejdZ2P+K2D63x9jdGwWsMEzpVELU1bXvYuPiKcgxfHeTEELiRYyiZ1iJ9+Ojqo2zSmTi6GqLFe+juGGDn7rbWgipryLJGIMWQYjsQJBXfnMOrX0Izh3nj4VXXOnT5pXdBrPo57IUy6irDps2gdu0hef9PIyXaaBz/0kr63zL8Zhm/nkecO82dnSBUJoGtfQZWY3/XAyTlF5Hd2Rs6/rWKn/u5n+Pnfu7nmCyd55nRL5JvjNMeH9jUUOlmIAgCoiARBiAKEpIor1FVmIbFwsICQRCgdjSo+BNU62XK1UWaZhOpQwbK2GEDWVCZKp+jYZfxfKfVGfAhIicJZQsRkbieRVfi1Kw8HYlB3nHgV5FEmenyhZsygapZeZpOhXJzltoSR6FVPKkYXo358ij/6/h/ou4uUHcXEJHRZQ3Ta9nOBwTYtotNhTAM8EIbVYzhhw4jtafRpDiaFCOjbVspBtra2lbIeps5WLZHckxNWYhBQCKSxHRrxHMSNW8RAYhrGdrj25itDmG6DVQ5iiBKVIxFCoUSxcIimbYYctzBFRsIgrBltyvkPGbN51jug3T9CLtdr6liYBlbZYBvhc28A663iKzevdRrFhPjZWRJ5z3veTPtnZBra2n/TdNnbLjJxJhFSEg0KnHn3WsLlXhc4sDh30aSBEaGmiwu2DhOSCIpkcupnDtTwzRCGnWPYsHg5eNTpNMRwjBk/4EOBndk12QxTE9VefGFKYAVcl9Xd5KzZ+a2bJ1vxblQVAlJEoknVDRdwbZ9EgmtxTkQRJ74fqvlFour7NyVY3xMxtY8OrviBGET06oBa0cbgd0kaCzghnku2ALFxG56vBTJmkp1NsrlU4u4qoymtqxtDdPhe48NrTyPFtm427kRJclWCB0P58VJgpqFGNdAFAhtj2CxgRBRUI50t4oEwDJdTMMjqI8giBKyFKAuLfhK6gieuoMvPwUPfPC9qB1Sa5e+5EPQjDzM1OQolI+zN+eSjiySjAZEdI/Q9TA9nUBqJyrO4MyfRwiuQBgQCibIJvkCdPY9RCwJcnwXsV2/vmJlvIyWw2BH6/WGAUGtQu3pf4ng60jRA2jddyMPDF7zemyGRqPB3FwZSdawPZWC+hHuOPxGpCXtrZP/AWHBw6tfWL6qBHYB0Zvjrr1A2DJZkbwFdveCYp3FnFxcKZTWOyUuQ870IGd6Wudw/EtrbrNGj1M/8RUCo4oyO8mP7QRp5iTw/ht6Td2p3ahSF3awcaz4ekTdLuD4TfrS+7c0VHqlWK2qcCutv8VyIpcXn6N8WsOyLBzXRYm2vu+yqCILCuLSwma4FbzAQ0RE0QTKzgxaqK10DSrmArZn0J3cs8LKv1kTqIiSQJdi+KGPKkdwfQshkJmfn0KOtFzBZ8efId4uIcoCjbyHIFZQNPCckHrBp1mcxaz55PoV4jkZzw0pjjukuhXsRoBrBysujLC2c7xZ+75qLOJ6rTWg3JzBCusItHzeBUEkDEMmy+dxPLO1TihJSo1pGnaFptXECJokuiM4cpV8YxzTNFEUBUVZNwYURARECFsF3I8Sr8li4GZwq7vJlfuvX4Ru207/QMuvvtGwOXF8GkEQ2bEzycD2DB2drfns6gVKUSS29aep1yyq5Wlsq0oqHWH3njZOvDSNZdYIgtaC7dgupWJAtWLR1h4jkdRIpyM0mw6NRsuBb2G+1V5PJFR0Xaa9M06lYlIqGGSyUXbvaaPZcCgVjTUM8c2SIJchyyKXL+VbRDI/JAjAcVxqNQs/aCU9FvMNqjV7pdg4eWKaTKobgXWdiCmFaO+7CXfaPP/tr5AQU7RVRaxAxhYVXEHA9wIcwUfVJAiFleIkJERd9zu3vqsR0ypMnz/F9PnW7ZGIzIFDXUiiuIY8t4JVY4LNJITanS2uyNmXTmNMPYvi+hh+L4KgElXKpPUpEq6NHN9FM/0zfOflP8SJ3kN0x1GMUVZ8CBrOYWZm5lks2PRkXapiglgyjo2M5SVohHsQY3vYE/kyQaUBnksgNEA1QQDHAdEv49XmCKxFrLmvEThFBDmOpHchCAqC3tGyDg4DQhOcucsIrkCIBzyNdeY7RLo/RvTR+xH0raWC65FfrDI/a5ASFXy/Tsr8FJULL6DnjhFtu6t1UGCvqAkCr4FgzkIY0J4G2ZlA0GO4ao6vPPMY++/dRiCVEYtPY+UlrPhbr3sOyuwcYrlEYWKC0RMnkKZPIY2eB0ml3DBRJFa6M/+74UYNlV4pVqsqqkKVnbu381P/x9upK2N4oc3idA0JhVSbQlRLMZA5QmemtXueq1xhuPAynuASEOC5IZIgk9TbCMKAkjFDV2IHiUgb+7uv7nhv1gTqQPeDNJ0KNbtIqTmDKEjYno2ohOiajhxVSSYlnLCBiEx2oBvbbwIBKbWP5K4OVDHC3vRbWDAvc6X6BCE+8UPtyIJGWutdcWG87bd/bEPneLPixXBq2J6BKusYboMgdPHsABEJURCxPQM/9BEFgYSWI8SnaTdpmjVcPCRZQtU0PN/h3JWT/LOn/x7veNOHePjhh9c8z/6uBzDyMlOnv/Dqvek3iNd1MfBKdpNwbTmj4/rMTFcRaIUHtbVFadQdGvUisNGZb/257NyVZW62xtRkBQBdl+jdlqazM06xZFArW1TKJpMTFZoNh+mpKoVCk/HREpbtIomtHX4sHjA1XsZxfOIJje6eBJcv5ld4BpIkrLX63cw2dgmSJK4UCyNLpkiuEOC7PrMztdY8vD3OgYOdEIZMTpgkEm3Ek/JKJ6K1C58nqAlIis5d80k6Uwk6IymKlRpTCR0lKiK4AomEyv1v3E57x9Xdr6JI5Atr25/ruxp25Txp8RsItM5VcyWMsSSylllLnluCIIlEP3Ib/nx9hfAn6DJiVwIxF135HDQWT6PZp1Fkn4wySRiA43qYfhVZDtGqZyHsu/q4S7v0ZR+C/m3dDO7cz8xtd+M0psCvIIQeoRghVLeRkrMoikSm4yfwRi/jVJ4hMEPs6a8R+GdoTwQo7iiBV8M3Z6mc/R0C30UQQkRJRVajyMkDEFiISgqBNqgcRtTiBNo8gXgR3x7GvPxtlO6dqHdtu+bnexm1qsXcTIAkxnA9m0b9NMV5E7d6iq6e79O3+yHCMCBwq4iRXqK7fwNr9us4i48j4DPQCbrxLJ6UJB5KtGc1fut3/pS33A79HTA8803+8//6x5jXMWr/1aOwIwXPzX6bLw3/SzoiMJCEsg1vG4A9WZl44sa09WHgry0cwpDQ91oSMvFHu6N6pVhvqHQ9gt2rhVQqxbx5gT13dDK5WKNWL2HUHDKxLPGYjK7rxKJJHtn780TUJOfnnsT2TWaql3BCh9JknXsG3oSeEqgaizScMp3JnfzYbf94zeJ+syZQgiCgyTGEpf9ujw9QC6osMgMi6EoUy2sghAIRJUFvZhcz1ct4vgOKTXtbJ+2JAY71300Y3ok+3OIhhDjs7rxrjQvjZkqGzYqXz730CQqNSSRRQZZUPEKmjHlEZOJqmiAMsL0muhJv3e65+IFHEPgIgoCqKghiSOB7BLJLRRzelBvXndpNT7S+IZL7R4HXVTFgGAa/+Zu/yfEXTzIxMc/BA49w9PA9DAxuI5frv+GktWVs1Vovlw2MpotpOMiKiCi0draxWIu4J4riGofD9UWFqkk8+9Q4pbJJo+EgSSLZXIyOjnjLOMlvpQk2mw6+F7CwUCefb1Kvmfh+AAitRdHyEAgRRBFFEUlndVzPp1IxV3gGlukyP19vBRSZDvv2d26pI189GhkdKSKILdfBgtNcYgYLiAJUyiYjQwWqFY9aLc+2/shVEt+qXbhQMNkVS6DpSVw9ymW3QjEdRTG91nxSFHFdn4HBzJr3IV9Ye17rORxifQKpqBBKXSCnEEUBNaFvIM+thqDJyAMZWOrqbIZMJoomScRSfWixHO5SwWc1QTId4s0xFO8KUR0IXbzGaMuZkABRyyEsPXfvQA/Qs+XzAEj7juFe/CaCXkCoWdD0kBAIiOGECqFXwnOa+KFKKGjIoo/smcSjFkqi5TAo73wjwlEBsSMOEQnjwv+DcfqvCcxRnKGpGyoGljtnhYJFWyaHIO2lKB6lVrf5walzvC1qkCmcQPLyhNY8gV2kXDpO4JQJrHlCIcpCBXb5FQLbRBVE/s0/fAjbkxD9Vnv+QXUXH/n7P7tl7sEylOf/G2J5nEe23c0/OfT+DbdFjDmy2esHVrnFSWrP/AWhZxNY9ZW44+Jf/UvESILUm38JKXLrcqxlHoNfbwVAyanuFXfDHwZulmD3aqJuF6ja87hSDS0ukRtQyGVFUsksttdgqnyOk9Pf5s7+d3G45yGysR6eGv4sw9Pn+MHZceIPt+GGBXQlTjrSSTLSdkMOj9czgdLlOKlIB53JnWzP3ca5oZe4ZL8MiZac0A89REEmHe2gK7WTfGMCy2vQsMrM10f48WOfIK63fguO9LyFulXADewb6rpsVrx0J3dTNRcxnBrtiW2k7P08t3CC/h1xetJ72dN5H+dnH6duFalaiy3zuiDAD0IkSUDUhaX3guM4NgABAABJREFUtLVu+GoDJ7g1ovwPC6+bYmB4eJgzZ84wOWHQ33c/2/s14vFuBCKUihYjw0XSmQii2Fp0tkpaWw1RFNi+I0sqpeO6LUOeaFTh0qVFqrJFJq0TTWgEfkCj4aBIIv2DGXp7UyiKtLIL36yoKJdNmnWbwA9QFIloVMEwWtWeZbnYto8ii7S1R7HtgEK+iaopZLJXLYQtqxULmkxqaLqE2fRoNmqoikwkppLNRJmcKNNsODSbNvW6TSFv3FCXoLMz0SoE8k2iMYW2XBTXC6hUTH7w+AiaJqEoApeHniaT/bWV+63ehTuFOnRUyZtJqqrGyGWbuBRH9ELUSMvyuNGw8f3gmkVZs9kyPhIEAVkWiSY0RFtFirYR3/+Pr0meuxls35mlcamBJLvEdv8yopJmtPocTuOLRMNxfGuBiPUNfv0DEC//Mc3hBIE1i6CkULJ3I9zAj1zz2a8gpTuQt+0BdLxGidCpQCDh+wG+1EnTjaMGJ5BFF0vYx6LwkzQMF9UL2R0fYHDPbWscBgPDgaYHQbZFjhQ8hOtbNazpVmXSUQ7c9j66e36CarXG+Pg4b3v0EbYPDtDfYyOG9RYpzG6pZ1rOiDahkOArT8N996SQk7uQotvQRJnQreHWLiJKGmr7AWK777/u9SlOdmNTIzowQHodJ6g42Y09W9v0fssRvMsQSmMow+cQ7KXjRQnKZ1vnHWtnIvEiYTR7/QvEWuIYrOUxBFYDRIHo7jfecjFw8eLF6x4zXHuRufoUoiAzMdvi1oSEaFKMc+XnuDJxmn3pR2jXd93Q490MFEmDsJXw6lguekJBjYd4YoOEmsH1bS4tPMO2zEEGc0foS+/jzbt/moT1PP/h1NcRlnb4nckdHOl95IYdHq9nAlW3C1heEy9wOTP7Xcbr55E1EREJJ7AIQx8EqJjzXFp4joZTgVDADS3y1Sk+/1d/yne+/CIf+LH3kTtsMjE5wZ7Ou26567Kn8x4KzSkWaiP0pQ+QbBxqbaCWfrf60/txPYOx4imC0KPaKGO6NUQpaMW6Cw6BB4EPguSj5WxCvXnT5/HDxOumGLh06RLf/OY3adZDMn2ZlutffhZNC9EjCr4fkEzpdHUmCAUIg5D5uXorjXALrJf2LbfcI7rCnnvaNxD7FubqeG6w4imwjPU7W6Pp4HmtIkCPKPQPpNm3v2VhOTNdZW62iucFdHUn6OhIcPlyHs8LCIKAeFxHlDwq5SbNhkMYQr3eygtQFZBkCVkWqNYqiCI4ToDrhviBj237jI/ZWwYCrf7hO3Ski2eeGqNcNlFVGcN0mZqs0GjYhICuyWRzIslkJ956B8ClXbg8kOGhIx9mdqbGC8+NI42MEwYeYegSi8dJpyI0ag7HX5jaskuz2XvQoc+zLWKRUa01mvfrMddXw7cW8OqX1/zNKZ/EbwzjW/NUnvswricTq4qooocS6UZOpMEqbtDrr84BuBYCy8C8/NeEXglBSoIQEFAGXycM2yg0pumXQuJCASlsIAkuEekM7Z07GSncwWRhgIn8ADuO5HAKzyAoabDasL58Gd+ZwdO+RyjYSLEO1CO7rnkum43ALl1Y4Pvfm6NUKlIqLWA7PvlKiGnbRDJ7kPRsKwJZkHHLL+GUnkNwfD78EMjuCG65hKilEcQMCCKSlr2hQumVtPSXI3hXt1QjMhzIsqkyxQvgTOHPCG6QerA+hCmwm/jVeQRZQ9RityyFXB9Cdi30Hdbp3Kuu+ZukiMQyIkYlwDECRl/4NNU5D0mB/sNJDGWamUrsFcfcCkgosgaejFF2aYxF6G3LoqsiILCv6w1E1dQagt/qVnZf9CjbdnbdclrfVlg9ty82pglCH6PskUxI+Pgt9U0Y4voONSuPgIAgCuCLeI7Ps+e+Q8fOTsadp7hyZY6ZyVlyQZMrcy9t6LrYvoWkwLx5iSuLmzsGmk4d22vSndpNOtrFQmGY+qJHUumiM7EdVY7y8J6/TcVcoGIu8Bff/9c0g5Yvgmu2IuglDSAg8EHX4qQTN/Zb9qPC66YYmJmZ4dy5c7zh3vdy9OgR7n3DIX71V36Lrq4OFEWhUXc4d2aesVgJTZNJJDUmx8tEoiqubyBJG8lW66V9vhdQqVqosrRC7FvelRSLm5sZrYdl+oyNGNSqLvGESP+ASq7doFwZp1R0OHOqRq3ik0xpHD3Ww5XL+RWega7LNOpNvv6N79CWGyAaSbWkMqGH73t4no0kKni+Q+N8Cde1EENIeSGKYVJeHEXUoojZdj5dHOb4ibWBQKt/+NZ3M+bmatTrLcdEUWzZO1crHvfc+UFeeqGCa49vuqArioKqOZTLRTwvAF1EVkVUrXXertfqDmzVpdnsPWjWbeqOhSKPEo/rK5r36zHXV8Orncec+Owar33fnCPwGhD6+E4dx3bQfBFF6SLZfQyt4yBO/QQnhr7IbeU2HL0L32zDtTsIF89e9znxPdJmiOyZQBmBgDCUQU1QDTKMFEbYJmaIp1zcogR+K99CdEbJhbN4Sg++8xECfxv2wncI7AI4EVx1kZAGgVhA8GLIHCT0y9j5SytPvWwTrJgnCby9IEY3dKvi4Qlqc0UWixqlSpG3vfkAR3apRCMKauZ2Ynv+LmLrFwtr4Tt4zREEe5K+dhBCm9ApYk3/L0StHSnSgxzfg9r+4DULpVfa0n8lcuPrYT1xDK4vhbxRrA4hux7CMLyqo1/CufLXWbSGaNO2cyT7vhVm+UTjJea80ww3nqA5N3vNBdj1LebNS3Tt0yjZE6yXbC7Wx7mSf564lmVf/530HdnPo7/2d3j8yp/xwvhXCEKPpN6+ZcojQEbbxp6OG1N+bRZdvBVWz+1fnvwaC8U5JPkKPg6yoKDJUbzQg7DFzBYFCVmQsT0L2/BYdC9yYJ9APmxi1Us0KDNeP87Tow1kWV4ja2xzb6PngM7l6vdYHHl5xRRoNdYrDEqVErGMTEbro2GXeHHiKyvySMOp4GMTuCG+L0Ag4nsQCgGSCqIMuh5B0V9bZNnXTTFw5513IkkSO3fupL+/n3hcRxJjCKKCrisosojrBjQaLVveVEonGlOpVC1qVZue7o0fvM7OBJ1dCbb1pzd0ACYnKiiqwf79+0klt3HbkXcQj2WZmD7DxYs/oN64+iXX9QSJeA5VjbJr+92k093YTpNavQBLu4qonqav7yCaGqFpVDh34Vvs2fevqNcEZLnVQXBcn3rDIBpJk0lnkWSZWEwiFpOQJIFSycUyWymFu3f3kUjJRE4W6Jqrk0hCrn8fTSugFoB99C5yn/xHCFrrLb6W10KjYVOtmhimi6pIpNIRBKBQqBGPZSjkXQqFxqYLum3bXLw4wszMHPV6BVX12XdggGi0QV9fmr6+PjRd2XRkYdut7klHZ8uHoL0jjqpInH3mHPXKdmz3MEe377hqxLMk8VPbH9yw64fNrHrXeu0LogphSBB/gLlRE686QUKbI65HUI0C1vT/JBlUuPegzNlnP8NZoNqEP/8ODE3f2Oc0rUsc6UjQk9DQZQHD8zl6e5WuLofd/SKRcAxBGERSOxEi3Widj9A0NazFJ4mLI+jxcwjifS1XQbtAIBYQBy0giuwdIhjtIbjUjRl/nGDPcVgqdiL1UssmuPldfOM+lOSBteqSwIHp83gL3ycadTAEk4EjKba1mcRS/aht96wUAgCinECO78YzXKYW5+js7UaRLMLQgWBpVy/HUXP3XjMAKbCb+LWFlUVVkBW80gzQkh2GrgU3MN+/WbnxreJaUsibRX9//y0HzdQunyMoVujN9HHn/pbaY7E+zuhwHs2UV5ztroVL889yufo99j4YY7J5AvjAym3L4UOl5gyqHKXaXKRuFZFEmYPdD1JoTlOoT9xSyuO8UWO6Xm55lySytEcSK+ez3oVvK6ye28fUNFE5gyCBhEJ7YpCYml7xYVj2U3A8C9OwCB2d/h1dJLtkigWfRsOkK7eN3V1H6Epvw10na7SsBj0HdLzA2fK6rlcYuHWZZtnH9pv06H1r5JE1K0+mLU7QyOEEJkHgI4kq1XIdUQRJh6Y0w4x/AnjfTV3bHyZeN8XAHXfcwR13tCJYG40GMzMzLCyOsmvXAOmMTjyeIBpVsW0Px/Zp74xz193bePGFSUrFEl2dezY85uGjV3eYy9I+03BoGg7Nuk0+X2XXjgf4wPs/DqGGooi86U33EYn+ykqk8MyURank4tg+nh9Sq3gt9z5VJBqTEAQBxwkolxw8NyQel4mn4vzF579HqVhD19MEQWvnZpou1bJHLJ5F1WTuuXcHb3jj4Eqh8tWvnGdqqoIkiezd24GkiBinyqiShNaZIDmYoTFeJllokqoL9MndqLdvTTLr7UtRq1pMjJWIxzX27YuwY2eOatUkv9ikXGolDQI0Gy7nzy2s4SLYts2ff+ZzPPP0COWSS71W4LkXX+Qznx0H4Bd/4Rf42z//t9m159CG596z6w1cPN8gmVDxXJ9SobmiighidzCRH6RLTKN27EZKzuE1hvCbo9hzX8drjuPkn4DQR1CzKy3qDVa9bPTar1WbXPmzUwQvTxPlCLF9TyNZF7GLJxBTMvGBXbz3x38Nw2jZA4eCwrs//g4CuetGP6prEfpEq3+Jap1C80ZRBAO/OYqgtaFm78VLfZCLo9Po1ovk9GnSwtM4CztajoSRLiS9B0GQV9IKHaWMeeU8QdUCx0SMdiCqafxatGUTLLWtkCxXE0bD0KcZ9PJw6gFCv7kShyxqbSiZuwFwq+eRYgMIooqodSDFdxGWFrk8BYfvf4h0TsKrXUCQYohqB74xhlN4isi2D2358pVcP4m7f7wV1bwOgqQgRtOtkcHVE33dqgJeTawn2C0v3hVjno7E9usaEi1HDnuBsxRpvnaBu7L4AtOVC4RhwGz1Mg2rhCy1RhXdqd08uOsnqdulm0p59IOA709f4sWFcfJmA0GAjkiSN3TtYF9S4fLiczi+ddPOirs77uUl5Umqcx737nkT77vrV/jGhf+M61vIospg7hgNo8q8PYrvh6joRDISdbOCU4hTq4TcdfcbeN9tf5eent41ssY37/5pvvDk7xPLSiTVLsLQ3OIc7kGVIitdjR63ySfLnyIk2CCPjCgJOhODuL5N3S5AKCCGMpWwCrQ6q5Io07CLmE7tR5Y9cD28boqB1Th58iSPP/44uu7Q3d1PPJ6mo7MVgnP+7ByjIyXCICSR1IhGW7sWWVK2/AAuz61LRYO5+dqSZ7+IYdrs3X0/BBqZbILeviSRiEKlauHZEtlML9VCgcAukQJUMaQWcSn6IV46wu4DHaTTEZ58fBRZDohEZHbuylGvazzy8Mcpl1zaOgIOHepierrK/FwN1wvwXYdYTCYIQsbHyhw81EkypdPWEWdmpkYIVOsWhODtasPpz2DsylJM6hSTOnuHCsRdH3cof03Gea3U5PT3RqiNFunVFHYf7KR7W4rHqya21Yp0Nq0aiWQXITB0Kb8hcbFW0dC1LGE4y+COAQa278B3A8IwIJXsJxbbnP2fzfZhGj7plICsSDiOR3WuxsJ8HVWTEEVpxdvAr19qBQw1RvGtBURjEt+YQJRTqPGdiNpSSMUmaoPVXvuuspezw+3Y8zU6ZJF0fxa9fRu+NkRoOvglCykh0PPwv3zVSIsAgXcAa+p/YE59ruWYIigIoo5VucLc+CcJKlHa9JPEpAJhdYH65TkEQSZsyMT6/z76rntBkQjKJv5stdVskkUQhZVip2Fd4t9/6VN89B/9DFJ04250q6RHKTqIoCRoXPw9AruAoKQQBInAaxBYs4RinK89D+/4lZ9HSV/Gr01CkCJ0ogTeYssTofvdrdTITSBqMSJ7Htj0Nrc4Sfkbv3/NEYLoFdekJK68nnVdoP+3YT3BbnnxzsZ6r2tItLpwSKpdG0aay54GpttKndxsTHErKY/nSrM8PnOFumPRn8i2jHgaJb47eZYZfQrDvLFCZj3Gi6coOhOUZzx6o4fxQoeGXcYPXHQlQSbahVn1cCwfx4BYUiCUTVwrSq3cwPcDenv66OvtX+oiXJU1jhReomiN0yh6yIJKwObFwOWF59Z0NdqFuwmDVjbD+u7Jge4H2dt5Py9NfpWT09/GNh2mi1eQNVpjQT+CKkcoNqdYuEbS5o8ar7tiwLZtxsfHOXPmEseOvg1FSpLNtTzsbctbY9ebX2y2/g2UKjNbzvkXFxvk8w0adRtCSCQ0Qh9Ghw2i0QzpjMyjb9/D7r3tG0YJ2+ZqKKMF4pKIDPghzDcdFkpN/IE0lTDEtlw0TUGRJYYuFzCXiox83iUMGgxrBSYnypimh65LTM2c5Z77dlCpmhgXHRKJVsU+fCWPbbtEIyqeExBVRXRdIjRdnNNzNN0ANSqjiOC5Piaw1U9lvW5z+c9PoL08zQ4gk9SIL9ZovDxFpyqRT0XQIhLDoy/ysZ++kzCMr7zmq+FNQmsXKQqkUl10dWwn8EM832/dGurMTDn09fkbxgTF4hS63lpkgyDE9wKqVYt6zaY3dZEde3cw2D9AGDj45hyhnQdRQdK7ESNdLbMeNUN0168hr0ovXFm4lwq/Za/9MPQoL34F3ejF2vkW7AMOc7FJosIJNL+OagtoWPjlwg2RFjcjKC5dkQ2LlCjHkJP7UNsfRE4dxm+MYDYKFKYuERjn6NJ9otIsQugT+iKBnYdQIKgEmJdewvuessFVUdqZwxOvFjuxaoUHDoEQbM7IXz6P1UmPywhD/+pYwpolDH0Cp4Kkd2Jp2zk9/GWU+Sepj32V0JsFOwlhAilnEmZdwsBB4AbkDetwIyME2R3lQ2++mpK48lrWdYGW5YB2eZ7jLz7PY8+c5GvPnuW//tf/yu7du+ns7Lzp83ut4GYNiVYXDmWjvua2ZU+DQnOKIPCRRYW4lqFhF1/xeZ7OT1M0mxzIdvEz++/DDwM+feFZhhaeQWpOcqR97y05K26Wvuj5FrqSwA9czs58j2qtQb1eQyOBEHFxQ5/FsQbVBZm27XEKxQL5fJ6Ojo6Vrovp1Hl+7MsYXoXqQqsY2MwqY7nLsr6rMXPOYn/6UQ51373meEEQkCWFhJalN7UHUtDwF7FqrdFyVE2gyRE0Jf6aStp8XRUDYRhSLBYZHprAbCTI7OonkdTYvSeFosCpEzMrdr25tthK8l08KTM9c2HLx00mNPKqRCSqsm0gw8BAhhefn8SyAmyryYFDSfYuqQGWuw0hLYvebR1x3JkIQlxDUERkx0c/M0+m2MQeKdLY1UY2F8VdCgtyXG9JBWASjWbp7I4zM12lUXdIJHUSSZF6o9gK5KjZWJaLckqikG9SKhlAyPTsGGfPL7K7IHDETxD3BHJNGyEEQRYJFImRniRm3aHj5CwHD639IVxmmlvzdTJAmNIpSCKlmo04VsJyAxJHujG6Za4MPU0m939gGVdf87KyQNc1PvyRR7Btj5ePT1EuW0QjCrIi4vsBpuEyN2OuCTlaxtDIc6hqywQpHlfRdYmZmSqeZ9EdfZk+5STi7As05iTc2sWWIY6aIbb374EgEwYeot6DNf2lTRduQY4hJw+uBAA5tSGY+y/kpAniyYvImIieg4gNgQiKRihZhPIUXo3rkhY3IyjCJovUqqJByd0HYYCZP0E5v4Bv1UgqBXTFQvQdBCmK2vEwcnwnYRDiFosITh9+baOrorBHwpu9WuwoVoEffzNEa1/GN/dfl2S5vpiRU4cQ9U5Cr4EY6cee/QqEAYo3wu/9AsSs/0nozIEQASlL6C8Soq7xX7hZXG+EIMVb76WmQCgmkWM7Vl3oq12g1XJA16ghDg8TL5mUSiWuXLlCOp1+3RYDN2tItL5w+P7oXwFw6dJlPrv4WSqMssBJXCx8DFSSeBgYNJlpzPBfPvu7xOhC5tqL9npipOE6zBlVREFgf6abtNYqDnsjMOSM0AwDdnXcS/4W8hY2S190PQsv8FBlnaZdQQjBKIeokQayJSGJEvnpJp6h4HoRguDqIt6d2k2bb/PFl3+b0cIJBF9Bj2/e/bvWeKYy69ETPbgl92GZBFlsTlNqzqHKEURBom7lkSSVfR1v+JFmD1wPr6tioNls8pu/+U+plDQUOUOzWeblkyf5/hN/zj13vZeI1s7A9i527swxfDm/knwXifo0m6VNH7Nes2gaLr4f0t4R5+ht3UxOlFueAAIEYcDsrMl3v30FgCAMcWwPQYBoTGDUb/Ibn/kEM2YDT1X4xQ//PHeFSdrckLjhMHCoi127ry6Eo8NFZudm+fyX/oRPfvjfcfc9B/jCZ09hqC6CALYdkkp2YNkhvu9jNF3On53H9wN0XUKPCjSrAf1qBztFh6ThEYoCPgKyCJoXEHoB9YbDYtGgutTaX41lJUFzR45mVxI7oeGrEkLNIvvsBMmmRa7hoA0kWMyPUau61KubByQtz6WbDQcEtiRjri8GAJIpmR07u8hmIrz00jQhoMitqGHPq+M0pnFsl8CpIoQ6ktKHW3we31ogsObBNwmtyKYLt5q7FyV710oAkNL+IPrkY9A8ix5WWkx+QwEvS2hnEGwFMVNH2/bjaAP7N5AWN5uLrycoAhtGFeuLhjAMaCyeAcdCEXQkLDzXQULADeKUikn60knU9GFi7z4MZX1TV0W3VFtT7MxbT2A530FxRq87x9/svFZOX0kTabsfObEXvzmG5I1zaDvIwixiKoEY6cUvVQjNCoIwcMP+C5th/QhhbYHi4hSfQbaHyCVb3I2tApuW5YChqOCLCo1ahXLFoFwuMzw8zO7dN+cREAY+kxMT1Fbsk8cZfelFWj3eV8ZjWO9rcD3cjCGR4dR4/MqfMVW+wED2MBG7m09/+tNkBkW+/di3+bdf+xI77omw+00xEm0yotLy9VejImpUwLUWeWb4BJd/0KQwdm07SVEU0XWdtrbW97rimBiegybJpLSW6Znr2zTrZxCCKkg7MD2ffH0C061f66E3YPP0xT9DECV0OU4QeFwpjDEfnECMuNSrDmbVxws99IxAKLQcaSerp0lm7iWiJjkx+U2GCy8hiQoICvE2GT/0NlzX0eLJGx7PrIcgCASBz/m5J3ADi9u3vZ0wDDg+8df4ofeKx4+vNl43xYDneRiGgWOliOhxTMNgenocEIlFjzE96dLW3uChHVmmp6trsgrW298uYzM7457eFC8fn8Z1PcIgRNMiFAsuvlshDMHzfCJRlc6uOIg1vvnMOfSdd3C7liQRSVOfU2lUHDKhSLonQecqEhe0ooZPnGgwNPwcbe0t+eK2gTQQksnGSKSanDn3GD//Cx9gfNRf0f2rioSmSwiCz86yQG/eImr5CIGPHQbM66D1dpDzAyJTFdIlg86JEos9SSYnKqRWGfOtKAl2LbW/LRez7jB+ahZVFojoMpk9beRzMvFYjskJEwFp04CkZawmYwIkU/qaDspqn4JlbBuIMLg9yzNPjDJypYAkCGTbEhSkD2OXCywGDq5to/lDZKQQyfYwrDMk9Cq4ZYRoH3r3Owmc2qYLt7Aq6EMUVTK7P4I16RH6DoFtQTWBPPMRaKSXgkHiRDtuQ+7MrKQHLucSbDUXX09QbD3v2i95GFiEvouotyHIaWpCBJ88QugQ+DoCHpowRwDo1vcwJ57FWWhDzd1LbOevog5sdDtcX+yY02nOjPwuj9QqeJe/Q2OhD8Stf7xUc4hIbY5QShOIVwlMoRBiulOE4r2I3nYmS6c5e/Hr7Diwh0Q2B6JCUC5AEENUDt2Q/8KNYrMCRTOG6G0D0a9sOb5ZlgMePzfE9Hf/lNLIMFPTPpIUYd++fSsL1o3ALU4y9fVP8of/+Q9QcclFYK7xbdzgd2h68IUr0HwFTrHrfQ2uh60y7zdL/Hty6C84O/t9REGkYi5wsfkCfuhx370Psv29h+n6RwdouEWu1L5PwysQk3O0H9jJojlEzZ0nrrTTd+dRdv7S/aTV3i3PaVmZ9KUvfWnldXiBTxC0oqSVJcnRWOEk1eYIopTC95s8PfQZLLdEEHo35ay4efqihCwouL6FFzjkuhL0aGlMv4LvhUiCQqpdIB6Ls739NoR4g8uVH9Be76I3vYcL80+tkPdqXpGOXSpFe5y+zODKdT3Y/RAj+ePAredFrC/mPN9hIHeEYnPmh+4uebN4XRUDpmnie+D7NoIo4Dgy6VQXmpbEME1cR2J2tsb8XJ1kUlvJKljMbyQObpVLcObUHJMTFQzDRVZETLNVxXp+QHNpYe7pTXLkaDcvHn+c0ZFFemO9vKmuknB0gkWThChR70rT6M2wVXNSRkQqmCw8OUZkqEC34zG4uw0v51GpzFEpu5SKNkEAqiqRWrIYLhdtUn4EXQ6xswFz+QUUNyQbiKQbFr6uYKsS+CG66SLY3spivBrLO3q/2MT44mWmLudpLxuohofQm2JMkRl6uco7Hv27TE9aHD7SzpGj3Vdtia+DxYXGlnHLy69fzBucPnmKwoU8CS8gSOs0ZYFCSSAfZlGLMoPbM+hyBMdtUjAHkdwIuwebpOMXCX0DEInu+PkNC7dbOYmgpFfY8b4xjd8YQpDjiJEUglpD3JmDXefBVgmupPFHO7CfSiIN3L4hl2CrufhqguJWHIMw9AnseUQts3Q90viOjOAtEEr7QdARG8+CGG8x7EUD35jEtgtIkW3Edv6dTa/x6mKnrb2Tmqny/HPPMZ1/jk9+5Y+pXcPt9P5D8BMPw9Qi/OevgGmvPt9Prjk2l47wsX/4T4i1RSBw8Wb+At8oIOu3X1NWeCtY320JpDKWA4Jfwatd3NAFCpV2mp7B91/4JpcvX6LbG6W7X2Z/RKSQgB2DXWSzN+ZGCK0ug1GYplN3eeD+B0hlsi3bOFruhr92+0/esLvhemzma3A93Gji32J9nJH8Szi+hYDIXHWIsl8mN6DSke2FWIOKcoG+joNYkd3oyu1sz91GKtLBdy79MValSDbZzpsOvJ/+zIEbWpy6u69uAGRRQhRF/DDAXeIM1aw8ltcg8PLYToVFR0IUIBXp3DS6+GawPPefqw5RNRcwFBMnaFKoT2N5FoJmEbgCUTmDoomko11Elq7VlcUXqFoLZGI9KJKGYRrYjYCYnMVwaqT0DhQ5wkTp9CvOi9iqmGuP97/ia/Bq43VTDOi6zsDAAJ/8L/8C2/YIw5BzZ+ZZWGggiQKxuEIhb3D61BwiLcvfSxcXuXIpz9x8nWNH30WwypZsMwth1/UpFgxM00ESRSJRKBQnSKUewHXCJYKfTHtHnJ7eFNXHFCKRHGrSI+lA1BNx3DroErKuMjdfZ3ki1Gy2Eglt26NUdHhn212ofz1BsTlNqm7TEVPpsD1moxa37X2I2ZmWAZCiiOgRGc/xMS0Py/KZSOkU0iplsYRccbmdOO2uRHvNJrB96rqKF4SEsghqi5UfhI1NrytuQGi6hHUb1fIJBWg6Pvlik8WG0/JMsE1Uvcb8wgjzC9d/rwzDZ3S4SaXskUzJNJsBJ05cvePFixd5KL4X7auT2PMeg4ZDKIo4ikQ+HWF+VxtSRCGdjfCGBwZJZw7QbLybyoszLMzVkRtx7t4eX1n86X73moV7avwy1vifI/oVAikOiAih1fLfF2O4ShzFnkKgRIiIEPpI6RJCe5bS0LuoP2MhKkUijceQnSKu0UHz7BXa2ruu/oivIyhem2MggCDhVk5DGKIpSaRoN1JkL0rmbkS9HXtxG0r6KKKk49ZHsCY/i29OYS88RnTgpzZ0JZYdCpeLnZ6sxx/+21/HqZzF1fbzwb/3URC2/nqr5nEitb8ikNv42z8fIxSjuOouXG0voZRec+z61rYofB/Cm2v13gxWd1vGK5/ha89/jV+69wP0bj+4YXxD23uozL2IMf4ZukWT/kGLlCYQNwTi8x79nRLpdPq6z7kMJdePt+cR/sfQ53j0H/4M2/dclSQLkoK+4+4fqeTxRhL/gtDjyeG/xPIa5KJ9NJ0yMTVF1O+gWfYxvTrRMIsXuOSbEys2v+fmHgegai4gixo1K89Lk3+NJkdvenFKqxGissqiUadqtxj5ESWBrHQQBrMIgkgu1kPDLuH61qbRxcu4EXOiZbXD7va7CcKlYi0MCUKfz3z3d7g08zxWTWUguh9dt0ksXauyMcel+WdIRzq5Y9u7ma+P4Da/z/S5M0QfzlBtTiI0E7TpfQzXn0IVI5Rdk8cKX2LBHKNslxGNKUYXS+gJgecvfotZ4zy6FCerDWw4z+nGAlgxVmfJ+oFLyRsnKmcIxIDRoQlKE1ePeLUtp28Ur5tiYBnLO9ogCBkdKZFO60uRvCGO4+M6HmEIYSWkGGkiiiKNuk9kyc1vGZtZCF++lMc0XNo7YsRiKpJc4/ylx9G0n0KWZdK+jqJKmKZLEIToeo7urhAr6XE5YhK4Nk4Bbg9UkosNxLNzBB8+wrkz82ssdyuVJkd2PUBx3kZKRNG6E2TaYlA28M+XeLDrbhwnQNMUBAF8P2w5bdGKIrZjGo7o0lyoc29DZnsgkgxFFMfBsTxURcJOalS6kmQ7E2zfkWNkZPNVXGyPEX3/IdJ39eMWm4gnZginKoTTFWZ64uQLozz3whf4F7/3vaV7tC6ijEiXnCQrx4gIClboUfQalFWBg/sforNjJ7V6gYuXf8BifmzD836s50HsBjgRBRI6YhCQrJikDZt9vQmSb9yBoki0tbfm76l0bGXsoNonCZb8yYPAwq1fWQkUqhoSRx54Ax950KK/A6I6LcKmC+U6nBiCdruTnXsbvDhm0nRCDnQr/PwjKomEyFztNN/8ZAFdC+jMQsOALz/9GM9f+I9rWrzrCYrLi5Rbfplm4KJ1PASAWzlNaBcgDBGUNELogSAiyAki/T+FkmoRDdXcfSs7fbXjYbzqGXxzisCabzH7VxUDYeCsOBSulgLGwllisR40/UHksKdFOMxGEXuSGzoz9kIZYzwDoQN4EJZAWkSOl2/Y5fGHhdXdFiHU+ex34Gd+601onbdvGN+UvaPMzMwQ0UQS3fvpEk0ai1M0zZC6DfFUJ5q2tSX5eohajKDnNl5agKD3dqJ7f/hGR9fCjST+XZp7hunKBQZzx4gocaarl9iWPkC7dTefLH8KwyvhN2p0J3dhOJUNnQZJkCkZc6QjnaQinbfEcI8qKt3RFKPVAhfLc9zdNUhn5g5M4SUQR+hJH+Rg5x5OTH5jU23+atyqOVELCju370RKNujN7EMRNcaLp1vz+9BfQ8bc13Ufi42x1ncjhHqtwdd+8HUWR00aBY/t90QJvKsWDYIAdtNHi0k4ZsCu++N8/ge/jygJlKddznx98wJ5PTXg4KNxOnZpFMYdzn6jzib8WaLR6E2Nt14NvO6KgWWsX8wBCvkmjtOqEmVZpKOztZBcuWIxMvoikrT2B3G5sKjXbV5+cQrLcunpSXL4tm76BzKcOPEyfT0HqVU92tpVfC+kXDa5cimP6/gI6PQP9GI0XabEMS5fGSXXu53Zmkpmvom82MBvOBssd2t1KG/r46XuNJ0HunngbXuJizDxn57Gb3h0W9CISfT0ZJEVCT8IaDYcTNMlDFp2wX2JgPZikmZtHjGqIqoKtiC2pDFegK8qyMd6r9vaFyQReUeO3iUugJnQmP70ccSqRe/hHj760fdjmI8CvwWApors2hsjcqqAdr6EYPkIXkgoCTiqxIyucqUjgZZU6B+MkGv7tQ3PGYYh+Qs240UfM6pSc32cfJP9owU6my5MVdYkHdrzT1Ge9LHOeOTKJt2xr2IOXyEUDEKnjOG7hPY8gpKiag1SrVs8+JE/4cDONGJQh9AjFHV8uZsPBknifzWG2HT46E6VUADBddC1P0CMTbP9SJRffOB2ECP4YgpXO8RbfumNXLw0tKbFu35mv7xImVOfx579Cl79MoIoE9h5AqeIGOkj0vNewjDALb9E6FbwaudQUgc27PJ9Y5rArSx90DUQ1xJAEaQNUkBB1AhLacLRHpxFBcc9DbKImNRQDnSiv3UPgn61pb9VMXMtwuQPHZt0WyKNBh99BESvxV5fP75JJiJ0d3cTqW1HS+1CmYsxc+WbnMzLfLeQ5jc38Vx4vWO1IdFq9cC+rvuZrw23fPoFEVGQ0GIill9DCVL4oUd3fA9v3f+LK4/lGXM88fK/Zn7kLE+d/AaTL7s41j/AD0Latz/ERz/2C3zoQzf2WTja3selyjzD1Tx/dP5pHCfPQvU0uqJye9/DKGEJAQE20eYvYysZ361eH1EQV/77WmRMQRRwTbj0ZI1P/IPfoWNbigXr0prH9QOXpldq7ehDn1qjiOm0ZnFxuviHP/HgpuczNjbGJz7xiRVL7bPlr7FoDpHTB7nttz+w6X1ulmj6auB1WwzAWoc1YEOA0DIqVY2Fxc3nPVtxB65cyjM312D7wO0IIhiGQ6lk4LqtWMpSySSTjaCPFBhZzFOaX8A1oVvNkjJb0a6SLhPK4hrb4zCE+bl5GqpMLaUzGFfpSmm89L1hwqqFKkLFqZOMSaTSOqoqoygiTcNl+HIeENh7sJ1DXRrOeIGnpDqqHsXSo7jxOHVFJFW1cBIqnR1xolF109cN4JycQUxHkLoTV01tZqqtGGVFwhMFQk9BVa5e50w2wtGju/Hmr+DMiSuSSrvhULywQNY2ONDVzuBbD9G/FCcsCKzZmQZByPcKQzTDBqWZKnbTJuaDIoqEYYgZspJ0GAYOlec+hzE+Rm9DRRFEIrXhlnGOqoAugN9cCRRyFlrEp737b+PoJva1oR9gXAJvqkJoOC3Jnp7AFd9BGH8CqXsb0e0/iaR3IEUHr6YHbtJyXz2zX16kWgxiB1FOIUU6IbajRZ6UdLSuRxEjvWt2tkHnoxhjf0LoW4jRXgRBJbDm8avnQJSRE3vXqhXY2kDImXPwqg2EXOs9CR2fYL6O/fwkUldyjQHVVsXMtQiTryRw6EawWYEilD7LnXtBNZ4nDN6Mb0yviZVOZHuIBD2k7QFEvR2jdpzOwRqDkQTbo9mVFNNXE0EQMDMzw+///u/zn/7TfyKZTCKKIpqm8XM/93O8/e1v58EHN18YXg0st8hd3+bpkc9vOdf2AgdRgqicYXvuCIZbA4E1i7BVu0g8/ySH5Dn6Bk2CXJR4PIusZ/Ha3sLeQxvdQ7fCoWwPi717eHFhnOl6Ad94EV0w2NtxJw/veBtPjXyOZKSNbLSHQ90Pbbj/zbosXu/6rPx76f9fmvjqpvN7XUqQ7VOoMYFVC7hz/0McO3ZsZfywjMevfIax4kl6UrtRJZ2J0pmV89yWOcjbD/zkpudz4sQJPvGJT6xYandXEyvujq9muNMrxWuyGLiRmYltBxhNH88LkCQBTW95+N/s423GHVhGo+FTbxTp6tbxPRXb8kinIxw83EUsruKZBsGTF6m9fI47PId75BSZsRJxyyOajaDe3svMfIN0JkIioZFK6Tzz1BjNhofrmkQcj+R3hrjw7Dh+0UAxHBoJjRHD4g5RpNl0aTbdFT6EufT8Bw520NWdoDxcYOS4z3wizl5TpqNiEBEEHFGg0nQ5+cwYY6dnGchGUSlzVO9DKpitatv1sZ8eI6hZiHFtjalNsiOB/oZBOu7s23C9lqObxXu2oRzoQOyIQ0Th7Lcuw1iJeNMhXjJWCiqAWFxdE3IkigL7D3TgzlYYODOLZntogOT4WOkIhUx0JemwUXcpz4eIToCcbqBHJSSxj7DSi+j0oHW8DW3nrqsL9+xL9MlplLEaTjCNoK1tlQuSiPyogVSNIZgD4EmEUh4hAM/tQs0eRet863Xlcpvt5r3qWcIwQBA1GpZInkcIhVVdmUsFoIDWqKM3K/j1aZrNF0jnLyL5BUJeWjlUCH0CuYO8eZTRU2fWPPfyrmG9gZB4b4PwoI3YEUeIqoQVk+YXTuFdyW/qRrlZMbMVYfKVBg7dCDbIQdtMuPQX7OyBaP1/UT9nEgb2xljpMIQQAmMSxCKZDp+DqSZeZhzfnIH43hVTIr9eIAw85NStj0GCIGDk0gskgvPcsx9iMZ9YVCORjLM9t4gsXFuW92rherLD8+VvEsvKtOu7yMb7MMobvVZ838eteRQXFMamBPo7e0l3DzIwuIttt38YJT54w+cjiSJv7T/A4bY+Xpx8nOF5l1z0AAe7DjNROosXOESUBLlYH6Zb22DFezMui7eCrciYpdJFjIqPShLXavXsrzWeKTanCAlu+Txvxd3xR4HXVDFwo7Gfe3a9ga7O3ehaHElWCQIPy24wNz/EyOgL+P5G7c9WM5jNxg3LuHLFYmj4OQzjxyH06etPc/sdvfT0tnbKM5MGi7LF5OQYgx27iMlRRC8kyESo7MhRUiTcZydWopF7t6VoNBx8P0RTY+AEiK6PV/bRHR85oqC0yVx6+mk+MPB+Orty1GsWYyMlCvkmiiKyZ18bTWOBUy8Poz5/mTvDHZh1lYTtkTZ8fFGgkNCYjCooFxaJlw2aYYgYEfjZzBuIfmsKy76A9vAuxKROULXwF9aa2mT2d6C/ZTdCZGumuNQeh/Y4geEQ1G2cioW+NHuruf6aoiok3BBy1NObYm6qSmqxjmR5CEs7TslySV1epDmQplq1OH1yjmLwt2hvK7Hjtji5bTEwJOxv1fAnHISObShvutoB0M4U+cXsG4l+dxoj2dzQKkcNcUrfvzpvV5asd51ZRDV9Q7r5rWb2gTWLKMcwHI9P/+kfUar9F3JJuDABT5yBfAW6s/Bjb4R9/XB6BP7463/G33kP7N0GqRhIElg2zBTg2fOjfPfE83hrNyhbytNWvydhwyZotjofAGJsbYdoq2Jmece93kjo1Qocuh7WFCiiSiC2umlC0MQ3xhDkxIZYab/ZwJktQJAFezdO00CWaxzNzLD4rd/E3v93EMafIzCqBFYDRIHo7jdC4rabPr8wDLFtm5mh73O46zI9b5PRNYhEIBJ1ybWPEFcqr/g63AiuJTscLZ5kpjaEGhXpjR5GXTciXYbv++Tny3h2CiP6Qd79K/83iUQCRVGQpFtbHrqiSXoiInNyiOfVriuJhJt3WbwVbEXGDDmPWfPp50Gqc3+65f33dz1AQm/jzPT3sUyT//hP/wd3P3SA/kMpelObDP7XwQscRvIv3VBq498EXlPFwI3Gfp4/U6dW89A1EUkRCPwQw/CRJIHBHVE6uzYShq41g1k/bljG3LxMe/sglZLLwPaWZ0FPb2pFGXD8pSFOONPMDLZhdPYQU3XkuERd96kFJQYMnUw2iaZFqFQtzMstcqKiijTNMtGBPXQ8speIJiHUbYSXp7FG5nhn7g6mJkxKxQUK+Sa1qkUYQndPggMH2/jWv/sjZmp5uicDUmaatCCTcSSkUMCSRSbbE8zm4uxYqCMEIQ1FwhAFrIiGVHNW2sbRj9yGP1/f1NRmK+vm1aoIuWET+d4QahCyp2TgixAe6iLxlt0Mrrqmy92E1RBFgZ7+DMHuNtBkfNuH6Qqxsok+VqResThzcpbZmSrJni4GbjtGT3uM0AsILQvBuwAUNixyguWjCCJBUkXaltrQKlfu7EGQExjlaaYnz7O4sMDk9DxyJEes814+sP8GCGNbzOyl2HYQI9i1Z2lPubz7bfeS0xchDPDlNjx1Dwjiiqrh/vjb+YV/dgdCYCJ6C2v4Dcfkbt4lpfnddU99PXmaX2xifvEMgeGA4xOUDaT+NMqRq14F1ypm1uy4V+FG3AKX475vFYp1mlCM48vdhIKC5C3QqEiMz0PXvtuJ7vg4opJYO74BJH0PGHsImlWCQMJp7sATzqHFXDxzhMbiONHqPIKsIWoxfLNKyK3Fx+bzeUZGRvjrv/prPvJQyM69d7D34N3ouo4iy0hKhOjAnbd8DW4GW+10y8YsttckIKA07dAdPUidjV2BQqHA7OQUhmEQjed4z745xp/9v6h5PdTDAe68961kMhlisZsnFN6oJBKu7bJYqVQ4ceLESnf3G9/4xqvCtk+n03R3dzNTnqFWbUAIAtcedbXF+zk38wQL+Rlq0yK1GVBTPqFsUreu/7mfMc5weXTkhoiRfxN4TRUDcGOxn4o0t6Xbna6luP32Xde8/42gXrcZHzHo7NiJHhFXPAtOn5xheqqKaXoU8uCGu0ju3s6CKBLiE3g2QS3A8yxkbZJDRw+wf/8OXnxhkunJKqVLBobh02xW6O7V6blvgHQmwplTs9Qv5dHqHjvS2xmfMSjqIY7tAyGSJNKo2zz+rSHkEzbb6iLD0xfpTHUhJdtJ6Bni/d1U93QQPdzNjrqDk9WZcQLKoogpuvxg1ObHuqOEDWelbSwPZGAgc93rAVcDnZZVEdGayeCZORJ+QEKVECURWZeJDKRRBq+vxe561z7CN23n4nyDqXyT6AsT9D09ilCzmXtyhOEjvWSzUTRdZuT4NJXnxxFtH1WAzoi8YZEDcPZn+NPys7z9Pf+U+Bvu2rRVfqX6Lo6/qNIot2E0a9QNn+JiDHPY550fC4hcx2b/WqE/XmMIb36RLz/1bR744E8SF5/Aq18g9EuIyhRKYi+idgwlczd6z7tfdZ0+bkBguYQ1i9BejhqWWsSNlRewdTGzese9GtcKHAKYnJxk//79GMY1zA2uAUWG3/gxyMahZkIQQFSDziw0TZEZ6xi7Ot68+X1z/STv/vBKoZIBnOpTuNUfIKrdxPe+Gb9yGCnRRuP4l1a6G7eC2dlZTp48iWmZKGqSRKqTRupjyJku9ERiiT/wo5EebrXTnSydxfIa9EYPU5o4Qd4aRo5tdC2cn59nbHwM07To7DDJRSvMzZ7FMFzmyzFGMwl27L33loqBG5FELnMXthp3GIbBH33q3zF57rcpTbbO/xOf+MStXCokBdoGVQRJwG4EVGdbJknpHploRiLdEcGP58n0bf19HM2fYHTxNJUFi+NPXmH7GxTCRJmaW2O2OsTl+efpz27u0ZDslJk1zqHLwi0TI3/YeM0VAzeCW3G7uxkskworZRfPs1EUcWUGPjpSxHZ8tm/PkErHECYMRFEgCAJMq4ltN1EUjTAUWJivMjs7yz333oUoCszMVHEdH1kJ2BfEMS5WeYZherdnKI4UUeZqiIJAw26gp2RqRuu16BEZRZFwvYBCyeaOI0dJWy7ve/TNiCEIqoSQ1FH2d7D7LbvJ12xeeG6CxaX9j1YyEEyXhKhBsHnb+HqYnJzk9KmxNR2Z2EQJo1THdQNcBXTLQ7gyT350hurP7wNt64+XcqVCEFfw23Qmhj2Esk9n1UISRUJCGiE06g6yIrVeQ80iVrVRTBdZEgijiY2LHBBkNIadfIsDsUWrfH7B48wVaDajeJ5EJtuG4xs06mXGx8vcltm8U7QaW4X+qFqOZlriOy//IU70DaQO/zTG0B9g559CjvQQHfxZ5MS+NTvbVxNie4zo+w4SegFBxcR+ZhxvpIj91OiSmZJwzWLmVs+rUChgGMYKY/qmsRT1LLuzCKEF+CCoLJY9/sW//yo9b9w6Qtqrn0LuzKw1mPIDwiCHkjmM2rEPoav1WWwc/9Itvb5lLC4ucunSJQI/QJIkIpqENfIfKUUyNNNHiRx+D2q08xX9/twotppr+4GL5ztYQZ3+2yNcrDxGRsxsaNGPjo7z0onzeAWV75wqEoR1UnqVw4MBMV3gia/+WwrVf0Rf30bu0K2e22pJ5DK2GncInkq8Ez7+gfdw3/Yfp12/9U3eROMlxhsvEIQ+bkXjn3zsv618VicaLzHnnSZvnmLb0a05AMX6LBeunCG/WCS5u8ng/g4CwcZoiIw3LvNN+094/z2/vsGjwQsctt2m0/SKbIvfccvEyB82XpfFwHpcz+3uZrFMKhQlAVGUaDSuzsDDELLZCPc9MMDFc3lmZ0yaTQdJFIjG22hvi5EvNHBtn9172/nAjx1mbLTEpQuLWJaHqohkExLJxRo7L+RhvIktS+QEiJgOTkLm8XPHeTjzRpwgxJcDevtSZHIR5mbqZLNRet69F7VmE48oG9r7tarFmdOz5PMNHMdHadjsOjOH7DjE7TaYMZCOdmzYUV8Ly7u+3u6jhGHI/OIQhlHlx7N382jPGyAao9osES+VuE3fRm18hN/9/O/xeHNjqh+AKkj8Ru5hUlIEPwy4O3eAvQM7iYYCgiIi7OtAP9BFKgjJ5aIcu6MX/ADhQAf4AYrhIg8XNixyy8hJMWLfnKTxnLFpq7y9I0a5coW77z3Ae9/7di5dHOGvv/IizabG2GiB/Qe6b0qbvgGr5t6SkkROHcGrXULUu5GTB6kZMD10jo9//OMMDw+zsHDVA0JRFB555BF+9md/9oYlXWufWkTo8fDrlyEDQnmGoDKGU59Emq6idt/TKmS2KGZeKZYZ07eCwDuwoUCpDVf51vGv8rEtfqpuZeTxStDX18cdd9zBpef/mPHxcWamJwhCAU0RESQd2b5A7sAvk27fc/0H+yFgf9cDeL5NvjFJo+JQz7fCfVKR7IYWfTKZxIsc4VNff5pUOktXVxemliRdPsH+njJHdihkc7cWQrXVuS3L/FbjesS+3vadHD10xy2H+izWxxkdzpOU44QEiGqr2N+/fz99u7OMDufRTJmm4cEWS0elUqFcqDNzpYKkqLR359B1HbMh03QLRMU21DC5qUfDnHGeXL9KXG7/oRAjXy287ouBasVcSSe8lnf+zWCZVOgHRc6ce4xf/7s/zp49V0cXiiKRy8WxnTm29aeZn6/TqNuEQYgki0iSiC+FRKMK5bLB498dolw2iegy3T0JfK9BVVjyQ6ha+I6PJYt4mSgzSQntjgeZn7dRVQ1Vk6nVbOp1G8fxSSR1tEQEV1dZkEUSCY30klVxrWpx4qVppiYrWJZHs+EglQ1Cy0V2PNrUNLWah1Aw2eYHN/zmL+/6/tlv/+rKrk+5UoEgZHzBZdqG7rjIscUakecW6AwF/ssvPojx9i3GPUFI9NtTyIsmjakC5VNjKLaDFIsi5KKo27O0dcQoNVxSKZ3tO7KtxX5P+8pDWN8fxpws4xeahIaLsKrToQoyguNv2So/eqyXR99+BwcOHCCbzfDi8adBEOnq7EISFSTp1tu8TuEZZGeWqA6ELl5jdA0xL/CaNGafpzF5njdsv8z9O0DXt9HW1kbFyiLIUfr2vp19+/bd/HMvSUU95TTm7OcJbQu/XCXoNBATGtbCFaRU10qi4msNywXKcmBR6DVRnFHu2Q9p4RJO/qkN8dC3MvJ4Jejs7OTo0aOMPvAWpPg4E8UY1bqF6M6wq6tJ2GydJ39DxUB3ajddyV0Eoc/JkydXwn0qkTMbWvT5nMGuXbvQ9Ci9vb0cOXKEnp4emlN5JLlBd3cb2c5Xz/hmKxb99Yh9x3IfvOVC4FpyRS9w1txWLG09919cXKQ+ofPYH43y7o/dS++RJDs69/D84vcxfYuoJnEo+d4N51loTDFjtNRA1yJyvhbwui4Glhe/5XTCm/HOvx56+1IsLGpMz5yno1Pb1MPgwMFO5ufqOLaHpkls35Ejl4vhez6m5ZJM6Zx8eYZy2UTXZdKZCHpEpVSC59tFug+0Ew8UmhWbUBHpONxF2a5hz48R2AFCpUHU89EFAV8UCHSFgiTy7NPjS23Klkqhrz/NQH+KU6fmGB8vY5ouIOA6PpYmM3ewG11xeOobJ/iQPoh2aZGFvz5P///5pmt2UULXJ1hsoIzVuCcyyBG1lwOdOxHaojSfeYHmfB23bNJmenSkNDKuSBCPQUyh/eAuIrdvrVEODx/Fn69z8fmTfPJ7f8q//PuP0LZnF87ZOYyhAuFcHeFQF20dMdxTsxv9EGarEIIHzOeb2AsNZFmk2fRZ8GqYb+wmumffpq1yRVH44Ac/iCAINJtNnn3mFPv2vJmOjm56+jLI8q19LZZ3qdHqRX79AxAv/zHN4cSaXarfuIw3+5fE6lf4wL0lNFVB0xz0aIAr6whajrZDtxPvuLlde+h4K1LRIHsRLzYDXgJqKUQxjZxrQ4p1rUlUfK1idWBRpF7iJ98CCeNrTJ4cxkh+EE/dseZ4IWiFKq0xmAq7CRfTsHh2zbHKShLhBBelm/+tyOVyJJNJ8u/4Deq1ChHD4sqVKzz99JPY1gneFngEjfOEnrFpsNWPAsst+tXhPpu16A8cOMBgNs/R3b9Pw8tQqTT4/d/7+3z0rRH27trFzj13kt514z4Dr/R8V0MURATEpQCxWy/OryVXnDPOU/Ev3pBE8LHHHuMP//APSbQp9ByK0L9tG+ZMjGbDRIgIdHR2cOjg4TX3WSZGNrwCpamtiZyvFbxui4F6zeLll6bXpBMuS/5eCdZnCCTiW1fG8bhKuWwQAgODWfYf7OTyxUVCoKMzQaViUSw06elNsX1Hdo0j4onzj/HTv/hj2GaURsmgfzDDGx7cwdDQBf7Nv/0a78xsp3OugeqHRJQWMc9RJCqOhz+QRk5F8L2AStWiem6ekSt56g0by7galavpMplsknvu66dpTPNL/+bzvPctbyW4UKU+Udmwo14P++kxnOcniI7P8ovZB4h/ZYzSU2XcriRmzaI6V4eqSWfdJhZVCTQZIgrK0e7rjiEETUYeyOAW03y5dorfuq+LyO17MEyXyvEpAsujPaEz2JfG/vzJTf0QKqbLtBey8MIUnttSk9TqDXbtvh+7M4qy1EkIG86aLoIYU0kkEnz3u9/lsW//gLbcftraejl2bD+793Ssi9JtQTWvcPc+EALzGi9qaZcKdGVA8uZa6YiCjBjtJwx8vOoZsGcJfRvbAU+IIEXaENQMyexB4tlBotlu5JsdU0jiilQ0KBsEgoPoKajeT6Hs3Yb+5pZU9G86NtVvlqnOjfH3f/lvMzs9yUTR4Df++b/n/vvv5+jRoyvHLQcW+XKUiQWYeOwUjnuKLz/9eWZuXbDArx6FHSl4bvbbfGn41mxfFUXhoYcewjRN8vk8f/AHf0AymWTX/ntJpdNourplsNXfFDZr0YuCT1D6ASnzEo35Oub8Ah9/n86Ovhi5jgEinW9Akm+OW/Rqnq+Rl5k6/YXrHlupVJicnOS97383Rx/YzrHbb+OnP/rzJKOZLeWK8TaJGeMMMU25ISmjpmkk03EibYssVieIXcww9UKZUsRCyvjEBztw3bWS9mViZFTOYJSDLYmcr4XEQnidFgObRQ/39qUIgnCD293NYD1bvlJpcvux9/Ds00P4frjGztg0fMZGDcoll2hMIggcnnh8gXLJRdVEbLuGZQboEZH+gSiKVqBcaf2KFUujVCpzNBseAgE7d7dx3/2DpFI6jh2QTHQQmDZ4Pp4kEKoQVXyidZOkbWKWNMR4DL/u4I83mc27LMgizbiK74cruvSesoFVVHnJr1OuF4g6PvGmSxiGhLaHeyWP4IcbjHmWETZdQi9AsHw65RTBbBNjvInHDIWEznw2gteb4WDdJJXUEGUJVAlRVzcQ+zaDc3IGabaJLsgQhFTHSkwdnwLLQ22Lc+j2HlLZCMYWfgiFTITZthhRTSKeUPG9AO9UlXd03oNxvIAdToLt4V6Yb0mHVAk7cKkvVvjqV7/KiZfPUS1r7N51jN6+No7d0UcqpWMvPrshSjdSL/Ge+1oL/FZYJuY1y9v579/5Im/56AfoanNx8k/h1y9j1i/jW/OI9iSybzNfgvEivDg9SHtnP3fdcxf33H0PB/RbIGxJ4opU1J4tY5WPI2oZSD2Ln8jg1OZQpY2Jiq82RK+InX9y09uK4xUWn/0ylfkp7pBGONBpc0oS0XV909GMIMdppv8W//5Ln+K///c/Z/++/fzsrRYzQUuVo7z4p4jlcR7Zdhf/5MB7yLW137TtaxiG1Ga+x8unhvnuUxcJfZv7jvXyxjsCJNFD2sSn4W8am7bol4pXz/MxqmM0ipPs2XuIbM9++g++H73jjX8Tpwq0zrcnWqc8fe28aNu2ee6553jsscfo2q/QedRF6J7hwvwPiOmpTeWKQejTfyxCwyuwJ/XQDSUS5nI5dt3exoIwzcJkhbmzJyjM1tHaTNKKiODpDOePk8y8aWVxXyZGml7jmkTO10JiIbwOi4Fr2QfDRre7m8H6DIGQGKlkB1/76jP8//7t7zA1fa71HNE0B/Y/TGfHTuqNIhOTp2hvG1z5N2FILJYhCDxq9QKs0jSbZo2h4ec5euRRLFOip/fqeKNWalK5bPOmrjso1ZvEXA+lWGW4OIZoWQyqOaKiyuzzzzHsFtAEhcGegwwm2rAUgfm4xkhXikCRETyftokiuutRP+6Q9h1+98gvE582UCyPaMPG+p9nCV0fLwhw/BCvLYZ4sJNoe5zUQAbl7j6UAx3MfMXi7Lenae+9i/iijVK3iTZs2jWZ+e0aw/s68Psi/Iff/Accsdvok9PUPivjvmsn973/EfYfOLDhx365rR0bnubv5t6C/sURpsxJwrk6ckyl7c076VmSJ27lh6BPVzkgCisS02bZZPTTz7KjliX7hSFqj81CAPg+YiaK/J4DWJ7D/Pw8n/nM54hog2RSaXbt6uOeO2OkpRPYeQm3cgbfmERQ04hyAkHvxpejLJYhEK+92xPlGL46yIkhcCPHkBMVnMJTiEp2yVZYwAuHcQOHvnYBTa2TUH/A6GzA0PGLqKLJ3n37b4m3sNxt8fUs4ngEwhKBVyEo+XjVk1skKr66kN1RzPEX1xRShCGBmGBuLENh5DxTcwsUqwYxJUBEQ9d1VHXjDjQMbGKVz/IL74SjAw0OHNp+S2qHNe6J6Sie2IYS8RAmv46YT+B33px7YuDbGLPfwp54HHHuLD/xxjbuOjLDYEcOSc296qTFHxYEQSK++1fY3fdedt776qhKfpQIw5BKpcIzzzzDV779lxx7ZxuJVIxEMkbZnKNkTm/qzlh3F+k7qqOJiU0zCuaMC5jOrjU79ve85z3k9rt859RfYJsORtNAGSuDoCChI8SbDNeforfev7K4rxAjjblrEjlfK3jtf2LX4Vr2wbC5292NYnWGwLJ/gapKzM5W+amf+iD7DyWwTJ+xkVZHQI+IdHbpVKsu5ZJLJCKyrT/C/LyN0fBbkcnrdsiaJqBpIqYp0d2TWxlv1Os2l//8BNnjk7wr6AAjIOkKxLQk2/fchZlRSeQtIjWbgdgAd/XGaOYiTM/Z+GZAu+vS7oMQwFRERQhD5HSMhOWS83UIQoJUB3VFJtqhkW6PI+SiFIoG9pUS+mwVwQswvz9MI65RzUXJ3j9I4iduw92X4YvVlzly98cJzjWIztaQdYnepI4mCFxMqFRHKrx/zwNEFmzaLJVGzWHiG5Mcv/Q/iP/fP0N7XxdRVSdYbBBUTIKmQ9h0CBouO1MDNIdqBJKKlNLJPbCd7rfvvdrpWVrk1vshHG5b+0VKZiOgiohwVccrAoFAKAqImkytVmNsdBpN6SeZ6MH1GszOn2Hm0iiS9iypZJzQLeGbMwhSBCV5mNiOX6bhCHzyrz7Fz37iqsRts3ECgGIOEVnX5V+O5XWKz2M064TyOLrs0d0pclSSKZUtxuYvcumF38V4zztQr0FAa0uBap7Azq+NpRYQkDO3/42HEC23+JczFYqlErNzBX7r976AW2pQMHwe6QtILK3/iURibTGwKrBIcqvcuQcija/RHL21RMVX2z1RlBTS2T7e+MADPHDfsRXSoqi1/VBIiz9M/LBUJT8KWJbFpz71KS5cOsehBzt44C23s61tLxVnBsdr4oXupu6MU84QmR6Fmju/aUbBcO1JDtaPrNmxK4pCNtnBru4j2LZNvdHgwslxFE0k2aWQjXWRjrWvWdyXiZEn3WsTOV8reO2cyQ3iWvbBsLnb3Y1iM/+C7p42TLMVNnTbbbt49ulxBEGivUMkndaZmqxQrYGIAhGNMEwTi9roaogelTl4sAtxabxgGC7DV/I0mw7dXVfHG74fcOrENMZMlajh4okCgizi+zJi1UR3LEJNwY1HUVSVRFsEDnYztq+D4ZESbarEbXWLyHydnoEMx7uTlIsGHO1lsD/N+KlZpsdLNNwAPxMll9GpxDTaD3SyUDFQDZf+uSqy6yM2bBzHg8U6jZkKLDaI1Iq8K3GYzuMLKM0QL60jRhSc+TpVUSSvq2SKdfb0DWL6RSiaVGsVmnMVgnyZ/FMX0d8dQ7o4h/P8RGv84PqUKybVqofcu5OTbQnERJSwLYYWQvvjI0iSuGmnZ40L4ipFRb5gcPGObk4vDPPou44w8Oaj4Po0nhjBHi+zcGIGIzuAYaS5+66HqFbK5IszDA8V6Q4u0rltiIoZJRYRwLcg8HErJzDH/xTVPEJ6XRG/mui2jNA3iVXLvPOe1oLtVhoE1iJhGNC49G8I3TqqFkfofJi6dBFfjqH4c7iF80Q1h21tHn7p2Wuy0fdug0j9azSHFUK3tvJ3QU6g97wXObad6K5fQ1JaC9yNhBC92lgufgQpysLwMAv5s1iRMbxOjwQgeCeAoKX0WPrf1fteLWZMb5onz3yLh9+m3XIxcyPuiTf12n4IPg3/u8H1LSZL527ZmtfzPJrNJi+++CKJAZvuvRm6MoOEgUS1WqNRNelr30l7R8fKfZYdECNSmkbRI7mvk7bYtpXblqWMUTm76Y79UM+bOdDdGp1UKhX+8B98kx1vVFBUlVSkg3ce+tU1i/uNEjlfK3htnc0NYiv74Fcb6/0LQNjQlajVbFzHa2WlVEKKkeZKUpquywxsz6AoEmEY8sxTYxiGu2G8EYYh4+NlwqROe0wjWzGIARFCVC9AcgJihSbBjhySLRJIMlNewPxCk509SY7uzJJ4fhJPqNO1I0tfLoZj+yTbYuSOdPGdcwsUkhFicY2engTRmMpC1aI6XCCd0uh8wwDRYgNhtoYwkKGmychXCkg1B/f4FHJaoENOkpysI4UCnmLhRFVcw0WbrbG/YpKKyOT62iGawiXgj77zPAkzZDftGBfmqL2pRqrptzgIuSiiItIwHAInIOtCQZUodyRwHB9xtoZl+yQS2oZOz3pex7KiItsWpVGzKSgKzziTvO/296LsbefCcxO4s3XkokFhpkr+dJHSYkB31wARPYLjelSrFeo1C99zMVGQ0nuJhZO0iAYSvjlFpDHJx956NUp3Get3wV5zDMm7wDvuhkj9K9iejdccAWOS0K0hynEkSUZPZskd/EOabpzSxT9k4dwwoeeiyQJh8+L12eihA4FEYOdZCUQX8lizf4UU6SWq5ZCUloTwWiFEmwX4qF27X/F3Jwxsmlf+A4IcR7M6yKZi3HfffVcPeOoMsHmgz+rAImf+BJ97HH7r/9oP4egtFTPXc0+8UWx+re59xY/7vwPWL/6l5gynpr99y9a8tm1TLpcZnj7Lfff20dHRw8HeBzkz/CylYomZyzX2H/lbvOvhv7Vyn2UHxA59F9/8N1/knz//Cxw7dGzltutJGVerHnLZNsZGJ/j+5U8zXjyNpms3tLhv5bXwWsDrshj4UWAz/4LNuhKFfBPHWfIMkMUVxQCs7VKsHm8Ejk9jtIhiuEiujwNIXoiXiZDoSdJvOeiWC5KIIItgBYhNF2msDJJALeMxG+TYc26OpOJjPH8Bq+7i53TyZp6L5/OYpo+iNfnqX81RKZlEoiLbd4pk2xyqZQNrrkrudB5dFlCyMkZoEe6IYTyQZbQWkKs00Wd9kAS8zghfqr7Mo/1vJ1byERo2nu9T11vxyp2ySDamIcsSVkqhEPc505jkYWUXsUiM9v5ucrkc6j3aStKhEFURnhlH/B8v0Lh4isPpHUTeuZdLFxYoFc0Vs6H1nZ71vA7fC8gXmowOF1B1mVhcojhykrYfzNA4ZcNQAaFo4LbFYH8nsZhKTVcQRDh67HZ6+1pRqtKCgpwfAiVNNNOOb4Uo2XtQkwcInBLh8LfYuw1U6yTw6JrPyupdsL34OKXiIrOFC/hyH1LMIyREivSgdb6N0Gvill/CrZxjbP4v+fITDuXhz3GgI09fbycD27uRxOCG2OiCFEGO70bQuxCVdOtvgoBvzROYswTR/muGEFmjx6mf+MqGAJ9XVgxcbfEHpgihT1xUua1rL3d+4tcR9S5qtRqfvvIldCe/9WtbJScLAgjELDC2aaLijwI/nGt1Y7jVzIfr+fkv+/Pf6uPeDC7NP7uy+Cf0NkICHN+6ZWveCxcu8OTTP6D7kEyuJ8q9hx+hL36Yvzz337g4c47t7Ufo7Ohas0Av78oRRQKvtVNfvv1WpYw3u7i/VhML4f8rBjbFtfwL1nclNvMf2AyrCwnxhQmkyTJYLrgB5ZpFewhmbxKvK4l5YZ6g4YIsosVUVGjZCJsurijgKjIJRSSu+nz9819A8gUEYA6DS99P43V0UyrP4Hsu2WzfCpExl+lrZZVLKh1CjPiCjWEZDBVncBtlMlKUhW9ZJLK9aFIUv7MDMR3B74zyjDGC8+GdpMpRjG9dxiobeCJIvWk633+QtkyUwHYpff0kzUvzvCPYTbeewchI9D5ylFRu6TqtStXbN5hhNCHTNCskOiLsP9JNvWZh2z6plM7gthRhvol7fp7Q9BA0iW5RoPNwJ9sGMsTjGovzdb721YvUGw4ZVaJ/IEK1NLNiOhQLQ8hGiO/KcfCN27HbYis5Fp4XrLx/DS9CsyyC2MArnyBEwC08iRA6RHd8HHdqAkn8X8jO8IZd++pdcBh4CKFL04Jm+mOk7nhDa6YsSAiCiJ1/Cqc+gVU8z+TFU4yf19iVydPXnaazLU42m0PS2m6IjR6GLn79MoJTIrbr11Fz9yEoCRoX/xXWzFewFx9HECSq5TmcxhShGMP00zjNlgmKNH0KafQ8SK15vWA3yavjeCdO3NBnerPwr1CIbMpXCBoXERvHiWQ+hOd5aKqK6Im0GJ5rsTpRkdClvwMUdwTUzRMVfxQI7Cb+qxR2dDN4pZkPsLWfvyiKBMH10/Y2w81IMhfr41xefA7HtwhCj7naELoc22ACdDOwbZuCO0K03aNecJi4Ms9T3/jnDE1fxpFd2tvbcSILa2KSlxfuyZHZDY93M1LG1XgtL+43i/+vGFiHH5Z/AVwtJMyLizhxFaErAbJI+XIedbpCeDHPVMVCkUSyYUgQghJX6UzpULNwTJfAD1Ftl2SxybkOnRe7Y7zz/ofYVYFIxWYuG2X2ni4G+nVKl+r4JQfBDQgkgbwDZaXlxBf6AfMdHroCWXkve/N1UkMVfNPHEkOMeh21biPENZz/P3v/HSjpeZd345/nftr0mdPrnrO9F2nVLcuSVV1wwbIpRtgYDARICCG/hJCXvJCQ+A0hgRA6OAYbsHHFRXKTVawurbQrbW+n9zJn+sxT7/v3x+w5e+pqd7WyZbzXP9JOefqZ+1uu73X11H98pa3jTJcoVlwcqYiGkrgf0BAx6uOJhiASsUkZUTJ6FE0INMugWqsScV1s217hqmdMVRn0sty0KbWiLeM9PbiEY4AhWDdvR7ythXLN5/SpGWpVD9MQtLYkaGj0mQpKVN/cTmzbDiLnRIfCoRzBM4MkH9i/qo+FJiJ1mVI9WTcP8ouE1WFcdxY9ug4pGuu8NhWcz0zVyiw49OfQ/REyCYjn/4HKmQMYqd1YDfvBTOJNP4I79zyycpJ18Tw/eSPEbEEm00A0lSDTsh67+Wakl12TnBg5x7WT7gzSL6BJh/Lx/xcR6SLS8wAqdAhr46hKP06tynefeJpcMeD0KPztt75E6dy60hqF3hTkXLivd37+/ut84ezvXtTzvJqVsh/ZQ2L7AwuZvZ4aJyifJqj040w8hGak8V1JS6tDbVSBUoRhuLAoLZcXTuSm+cjbwPD60TK9l8zUv5ysej7zXZwBa2UXreVmiGbQzzyCyM0yOzRE/0UGTsu3d7F4zZ4PFziWBx544LK3eyEX2MVYrgB4evo53LBKZ9ubX7M0r9Rr6LakUJvmhf6vMzo+QqgCZMXATDsMu88zVdqxQAScX7jLoyvv2cWOMv5zxtVgYBGuhH7Bxfz4iKiLuDZCmLFREZ1idzPqyxVi01VSocfMjgztz1QwSi5mTuFLiTB0lC7wowZ+xMTL1si2pik2Zsj1dDClO6zPzdApdXZ3tdMwXKR4ukwYSDB0MDTyvqLUFmGoO0PRDenoSCIMQSFXo5QuEpvykLj4MZ1adgq9ksB/eZzkTJbfbXs3iU+cpDLhItyAZBhihqCXPSp/9gxGTwNaQwSRieJu7+XRx4e5Luhg44zFmX/4Lm1Jxbbt21d11fNViOPKFW0Z9eTAEo7BYjti0ZbkFSdgoH8O35fohqBa8zl2pMzNN/84J4qwe1MTpi6WiA5ND+ZW9bEwG6/H9vOYmX2E5T5Cdw5v+juEtTGcsX/CdHsQApSeXshMV2PtO+NfRcgyO3tB9wdxxk+jTT+G17Cf6PoPo6SHLsugQ1tbM+3d6ToTPdKO2XAtVuMtWE1vwpt9cgU5ESBa8UlEIbA2YrW24888hvSLSC+P9I5S6/8LRGw9KnRBA8/3kGHArbfexNsaNvDRf79SwQ/AfO6vzs3f38hv7n7vqz7nF7JSXlziD0sn8XMvE1b7kc4UrlOkVvNpaJjCnQyRyuD0yeN0trexYcOGFfLCejBTP1+jA7vtbZfE1H8tWbUQggceeGDV95YKF11c4DSPyxE5gtfm+fD92O48FisA+qFLyZnFMmMXJfRzIVx77bW48bcz8eUzTE1MMZA7QyhD2jtb6djaSHf7ZtKxpjfU6N4bHVeDgXO4EvoFl/rjE9VMTE0no8f4xfXvYb2W5OsHX+a7+WP8SedPsDPaiY6OQuE6LnpnBru3iUjZI94Uobgxwpkzz/CBu+8lXnaI1wJiQZnIgyeojhcxKi5WMoLoTmN0Z4iMFzGGcrhzVZr3dbLrmg4GRwsUBuaoDsxR1gXapmaKtzbwxd/4HP+/xnchKy7WWZfb4lvQB4oQgLJ0EIIwlPhKEU5XCCyDpiAglAEqFWek0UMfH6U1iDJ7eoSwb5ht27evcNULv/gcO2LdOI9PMnldfElbJrxp3RKOwVI74lnyCZtCwanLQUfqj7J1psC2WBeTQ5McfPEgZtUn8vw0Vi5HzXI5+GhArihJpQ0qFcnBg/MmQRao+6AmSeQeRIQ5TCeHHszhzx7E8WcpVsC3dy1kpouJblBn7QeVfuTcacazsDF+NxnxOGGlj7DST1A4ioh0IOwmRKQFM3MNRmITwmpGj3asYKMvJycChKUsL56CSubDRNpCNE1gpHbhTT+Ol30aFZSQtRGU8rAy1+O7Dq/0PctNd11DW1cvsd4b0WMrM7rscAcuRWK9vWRew+JgOq/gF+zzDoK1CaQ3A5qJpmdQ03NoNQchbdBCNjXp7Ck+RfToDOHenejR1BKm/oh3jE89/BB3/dxPE+2+84L7Xk7wy47NXXZWPTExQT6fX/W96IufYPDgo3z0ox/lN+/5pUva7sVm1P8cMFseWVAA3NxyA8/0fx4vrNGS6L0ooZ8LIRKJcMOmd5DfZzAwMEBfXx+f+cxn2PiRRjINaTLRFt6265cui7F/ORWc7+X2Xi9cDQbO4UL6BVooMeY0vJSN7ss1FfsupaQnCh6xR8fQ3BDNDxElH6XB3lveya9vz2AdyyI+eRat5CECiVASzQ2I2gYqV0Ov+Kx/YZJfjF7HhpemSAcCwwvwywFezUedMyKyqh7TR8/y2UPHaCyl2GV3kIlHaTdBTJYwRvJsGsljhRKjIUrqvq3Ilhpl6RK2RrB8QSgkZ0dmaGjYhKabeFGT0DTw4hYiCInmayA0BucmmTszyte//BJDE6e4revNNGWa2LRrO42769dD0wXGIjOp8gtHSSZbkFmXhpjF3kVtGb0lsYRjsNiO2BUaQSCJRA2aW+Ns3dpCcyaCe2KE2ZE8ub/6Jz73h1kimkmbkULTDY40mYwfaaZYmuXEqceZnhlYOI4btkGhAuNZ+NC99fG9G7ZBSxpKtTIPPjPDS30WP961dEFaQnRzZ9HMJEpkCEMQYRUldFToocIyfv4QerKKbjVit7+T6Lr311sSF8BiciJAxTnI2OyfgKZjNd2wKBhRhM4Eys+jgirKL4CwFxT8PvgbHyWxff/rKkdsGmBXn6Pa99KCg6BfOlGforAaiHR8iNLYy4Rzk+SGRgkCh65kSEoWMb3ywrz/4tl3P2pxpB+Unrngvlcj+Ol2fdG90tnvkcKTDB58lI6ODva+jln1peC3f/u3+djHPsZNN93Ehz70IX7iJ36CZDL5PbFSXg3zuvzzCoCGZpKrTWDqEaJWconQz+VI8+q6TiqV4v73vX9BjvihB79OMpEklUwjhH7JgUBzczOxWGzNitBrweVWhL6XuBoMnMOF9AvE80OYRyfxTkwv9K7FfO/6nq1okaU/6Bfz4xNOlqi87KHyNZQIULpETpVoOuWjl1wqJZNSzCYIFJrrIwOFWQmQU2WM7gx6cwx9YpoukcB2Q9x0hJyeQHgSNxlBWgLDc2kcmsWa87gzvgU3bWMWq3gx8N0atSMljNkq8ZKDCYQC5h47i1Ot8o7ut+BUJfH2FG6Pwce+83U+ef9P0dnaSRyQ6QiarqF/+zRCKVTNY6JvkkwVbtDXsXvvBtYnW0k3Zmi4ZQvp5sYFV715w6HSSIHi6RLRSAJhC3Zd07GiLbOcYyBzVWRbkpMKymWPru4M11zbybqeDCqUVHet433aO3DyZTQJytDwbJ1R20K0JLkhZdKzPkpT8788fzOUT2rmY2jKRRqtKAVGMI7pngYcRNNefuSXf4MPt29bktUtJrppwsKd+g7u6JfQg0k2d0G0/BChPosMymjIesSpAjQ9htmw71UDAVhKTjRSu9Gkzg3bwPD6kMFWNGERVIYICkfq1yzSTlgdBiQqrC4o+Fm1Ayhvw+sqRxzKeYVGf8FBUIV1sqWI9SCDAaKbdeL2rbz73p9BGOe5OJcz778Y8wQ/jBAtWkC6FUxNcdOOut6DN1NZ6Xj4zwBhGHL8+HEmJychGSUbE7ww0U/nwQO87c23X7bp1mq4FP7FeOUop0tPYIkoOb9G3/CDFItzeKpG38QrjE8PYeoxYkaao7lnGZ46xX37PnpZ0ryZTIZMJsPw8DAThTOU3LnLGt3r6enhxIkTlzW58Wr4QagIXQ0GFmEt/YLaiWm8qImWsFf0rvX2FNYN6y55X8vL5c6TAwR9WdTpGdxCjVzZo5qOkLR0jHwZp+JjaxHwQrTmKHpvA9UtBn/7tb/gN//lXazbvxOkRKv6qLgFhmDg28/R+IpDPDDYWBJ4tkYugIIymBgsYfkaulIIXWA4AcZEPTiwLYHU4oRoiI4k/habs/4Mkf1NrOtdX1+cz8yiCg7+4QmwDUI/QBZdPOVjGgbd7T00r++k/badZN62B80QlM+56mlRE+kETJ+ZJT06Ry1UuA02p89mOd03B5xvyyznGPihZHK6zFTEJN3buJTXITRiP3EN9uSmBeniqpQcGSsyXXToTkXZc00HPeeUDOcDDhnWyD3lIJ0JUJOAQukKoglEbAct2/49G9vuWnL/lhPd5rPgsDaB0kzOjMHmPU1oIo8m7LrXfawXs/FmND366u6Bq5AT/fxBYsUEb78RYoUvUHjpwfpUg6Yj3el6v/1clUATNtKdQvdLayr45fN5RkZG+OAHP8h9sbN0RhyeHf8MT5V/i/Xr1/Ov//W/5tprr2XbtoubAZcSaqn3E9/SvCDG4xeO4k4/giYMZG0QRIiUOYRwsHuunDSy1b6V1K0fQso+yif+FMhh61P81F11vYfa6EZidtMb1r75chEEAc8feIHjYYHEPdfjdHfwslklf+pZ7N527l6/84pUBy61Bbrxpigbboohg/qjHMsIommd0JPoliD0FbkxHyGgmpcoX+fG//JjrH+NseprZff39PS84Rft1wtXg4GLgHXB3vXMZQUDy8vlquwRDMzijxWpjBbwhIaVipCwBGGxgiMDknETkYlA2Sc4m0XbafGtiWf42PXNbNxfN7cJsxUq/3AQVfaIjUqksFBCIg0oS5/QtkiIKNFiUCcirmvA7E4hjk0hshUMBTIuOD05wvVv3kD0jk14TZXzB75ocZaFGkoqtEBitqfZ2nkDIhPFvrkXY30Doj2JaIqhnZtemHfV845MIKfKWGUPFQRElMAYqeA90c/MtlakqS+IDRmLg6ZclfHPvoIcmKMlVNS2tqzK65iXLlZKcfTJAUbKHoZprMkDEcLCar2DoHAUFRTq44F6FD3ei9V8O3bLW1a7gUuIbkqFyKBM3VTZYKYAhWIBM+ICBr6xnYJ8O7mJfQSBRB8dx45MEY+vPtNsOqNYtQYCazNKs9GDMUz3ONV8H01pQEmC4mFk6CD0CJoRRzOb0JREmGlEYjN257sZD9dW8JudneX0qZMIf5p166AzEcHe1EKP6CKdSrO9s0A6aa16fGtBiSjGYnlbYSL93OsujWw0dGI0dOJOh5wjtiBVA0NTEBrdda7GGgHYPNfAzU1y4IXn+Npjz/GZbz7DRz7yEd72trdx++23189NhgtB2rmzRYV1EqwmLt9m97XAdV3+9EufYaY7SbyjhQ/c8w5GRkc4PTvBo6Mn6U43saOx/dU39Cq41KmG4fJBppyT519QECiXSpAjpmew9Bih9CkF08hCnP/4ob9G/Yc3jsvjDyOuBgMXgQv1rsUFLIAXw3Ecstksv/wL/4LMiQrZ2Vka17Vxx9vv4Z6330dm1CNUUFIasuqTDCURX2KagiCiMx7kyKzfRPq2jYQjecLxIuYqP0DhdBn/wCiy7ILjI2ImfoPBK8kCI2cG2ZnoIakkRjJCZGcbiY/cSNfWFtR0iconXyQ4PUOlQfFH332Iv33/h4ncsQN16NDC9hdXNMK5Cs43ThGOFtA7U2hxk3Aoj8xVMd65fanErC6I3r+H4PgU6ushYSCx2hKUlMdzTx7g3XY3yarLxoYIck/HErGh+aBJSkXxyUFiQ3nMssfERInQPv8IL1crvHgfC534ll+9JHnZ1SRpvcIRqrUxdF9y2x6dytTTEIGZPEyXikwUx5nIdzKa76RUM3HcMhOTZ+jrfx7TjJBMNGFZMYLAo1rNU6nOMj8GLgR88E64dTdkSwZWz89gud8irI6B8tH0KJqZWtDHtzvejtAjF1Twm+0/gnrmr/jIrizX7NNJRnV2xB3uNM+AppPxNWJVE3dmZMH34FLL7ItJlsPDw8zmM0TLQ9i1YYLSw5SnukGsPWK22pjfcqxaglUG1eBm/uAL370gX2Kea+CX5nCKcxQOH0YbqeI4Do7jEAT1tuFisyPNqyAViMIY2a/8LiKaJH3HpZkdXSlIKZm1Fb6tY2VL/MKe2/jywFc5Pp1jslLgyOzIFQkG5nGx/Itr1bVIFS557bHTn2Qge4h1Dbu4Z/vP890zf8dg9hWIJFlFKfoqvse4GgxcJFbrXes9Gcy9nat+XvnhgimPqgXky3lGClNsmLC4P7GHeNLC9T3sxxxKBx7GbG0hH7UY3NVK61yN1kBia4CmEQQGM8fLaE6Af2yScDiPqnhYFYP3pa4F7/wfnUhF0Dc2Igo1RNkjnNLRfQ8jcJmIaOwTBlYoEZaglIwwdnqW0ydnSKLYkbAQmShBr8Erzigyba8oMS6uaJi0QDWg9rVjaHELY1sL4XCecLaCqvpoywIl78AI3nNDUPLQkhGiCYuIX+LE3Fne1/NuEjWBVfWInxMCWs4xULkaPbaObIjQ0BKjrT2BFsr6e5koRmdqiVrhpfhYXI5hy/LvKOlhJHegB2W2720irE2hyRxNbQnaa11s9wXoNaoqYNS5i1wlg65rxOI6YQieGxJK0DUwLUFjs0n3uuiCdbZdfoxI5TvYyQ10br4VxB0XFcCspeCXmxrHmR2lLa7T0pAgnWoFzQWjgNBB98cIph8inIsjzMxFldnXWrQnJib4wAc+QK1W4wO3w/vfArkifPfAx9FV/ZxzDjx8DGruyu9fiNS1mt4BSGLG86/Kl5BuhSA/geuFFGs+E6PDTEx4OI5OrVZbCAYWmx1ptRx+CFp5Gn8muCyzoyuFsufg2gIVhJjZMi2JNLrj4w5PEQQhA4VZfBmumji8nlgs3TuP5br8FxIBWowfVnb/9xpXg4GLxSrz8Zqhr3AlnIf71MASwRyvWsasFdgXNGNHI0SjcWozWTzXxQigpteY2xijtLUNvSFKsVCfGNBCSWVuFtAQZR85Ua5LZjbHQXi8ObYJq68I5yTS9fYkiQ9fj3d0EpSi9vBp5OFxbtRb2NzUSjhdxBcuJ6wsIuyg/RvHMXxFzBQESRujJ4O36VwGFUjCsQLmQJGbouuJPjaG6zdh7u3APz5VD1SG5lBSQVAPflCgWTraKmZRquKjAonoTqObAlnx0E/McmtsE3rWgZi1UGmZtziWRQeRsEFoKDcgNl0mDBVayUV/dmgFoVO1JZYQOpfzQJY7DbrnFHEvN/NdDM2IY2b2IaLrsL0ZvLmXCPIHQUQII20oo4VEpISpV9jd6HJoqIepiRKVqk8yadPSbGFael0MqfQ8YSUB/i4aGhox5CQRihhWGrNhA5qRQBPGqgHMxSr4edEmjobdFKcG2Gw10tZ7A0ZsF17+OwizAaNpG2J+ERH2BXkOazGx56c0RmchCOALf/8HXNP0OFb5WZSnuO+aeD1a0SCMdFDZ8O9W1UFYCyv0DubL+HoVXZt9VcdDvWUT+XV38JVvP0HxhUdoETUCX6GUoFgs4rr1yGSx2dHU6dN86Y8e4u2730t669bXTH68XLiuy0QuC5ZBMhrnup2dmGb92ddqHioMKTk1Cm6N5uj3XrVxOZZL915IBAiusvu/17gaDFwklhP+3KcHCfqyuE/2o/fuX5FBzy9884I5aTdOYiLKurfeR21HhvG4w8f+399h/8Zd3JfZjUWUMGUT6ILZoguagETdB1cLIowFBYL2GHpTGnSB3hwnmJgkrtsYo3Ur2/lMWjTHCAbnkNMV5FgRKnXhmnTSomrrlIRL2S+SEVnSUZt0LIIIQoQu6gHOuVjAPpyl8kiB2PAEP525mfjDoxSfziLakqiiA05QX4yFBmiImQpa1MTc24FmrQwGFnMvVM2n8ncvoec9dkU6MUcr6Hf3nK+06GKBYxBOlSBUaJaOaEmgJe36tc1EL5nQuZrTIFDPfEUG5fQsVHPWGiFdC/MlcW/mu9RmHq8rMJpppDNN0jyF2dCMsDcTlk9i+ieJR69FAfGYye497azrrVtnV0pljn7jf+M7M5ROJgmGIhiiRsyYI5JopKP3+jVV+C5Jwc+MMibaGcmG1LQoItWMDE6ClkNEWohv/Ch67Py1vNBY4qpMbOWTyH0CEeaZybn805e/wt7Wg6TNEoFroTwTrGZAQ/kOZrqb9XtX10G4WGhGHI0WcDI4kXU8cfjomo6Ho6Oj9PX184UHDzAyMsvN6TQt0QhNbogYrdDW1kY8Xg8OF5sdyUqCF6dAdu0ntu37N1poGAbCNDAMExmGFAo5JicnyefzuLUaSEkgQ4LvcQ3+m9/8Jl/96lf54he/yJ133sm73/1u7r///ksm9/2ws/u/17gaDFwkViP8zavarVYSX5V0+I8vExwfZ+TsAJ+ee57I1nY6btxBq+whMQvR7a103bLyAe0/6/Cfck/zrnf9a9pFE+7Tg3gvjWFVK0Q1C2XrKC+g+oXDEEi05jjBqel6MDB7LltP20Su70Zvspk+doq200Vyr5xk7n03se3Gm5cEOHapnl1pTogKBDJlMehnKWkeWj6EuRJKaPUgQAMVNwlrRULTwu9J4hpZ1MH82tdyMkTM1kj0jxEWK1iajjLEkkqLpgtiP3EN4WRpYTJAixiI9iRKSih7l03oXE3MB2HjH8oRHJheIn98oRHSVc/tnO7A/D70uH/OyyCFsFvQY52E5VNUyhVyswU0zWLXnvYl9tmpTBw3iIJURK0sqYiJVCZFt5XJ3F4ob2elp9r8AVy8gl9LSwvbtm1j/LigUCgw0vcCHc0W0p3FD2vkX/wodvObMZvehNWw/1XHEpczsZUKqZx+irAygKZG6G4BISvokXaUX0OkNxLf+GuUX3oIL38Ko/fO1xQIBNVxVFBD07pBjQI6g5MgiaNCZ4Xj4eTkJAcPHuQLX/gCW7dupWtbJ61Gheaqh6ZV6ejoIJX63pf+Lxa6rpOIxrBMk1BKprM5Tp8+zdTUFH4YEsgQDTBeR22JxZBS0tfXx7PHXuGFyQGcliTHhvqIPvww73nPe7CsSyOjwg83u/97javBwEVgee9a5mqE44ULlsRXIx2qMCQIAgb6+0k+N8K919zAhukmGuMm1rYGYvdsxdjQuGJb+ayJI33sl2eovNxfz1wrHoamaNETaEUPWfGQUyXC2QraqTrZjkCioiazVJndYaPfFmVOVjj93FnaszWMZCPliMTc2gKcD3D0gkdc2Hg7Gohv2Irt5vnzP/lZ/uE7L/CLjbexw+7gtDvJ09V+XBVQlS6OChjz88yG5QteyyY9zk9nbiYhLJr1BA16nKoIeNfm61dUWjTbWJgMWIFWXhOhExEjkvx5VFFbqAL4E5NIP4tYRf74YkZI58vzKqzVNferI2h2C3piC2bDfiLd9+OOfh7P85goGMwVNJpb42zYuHSRnZmuMeK+D4Ixdq+LsGFnM65v8vIxweSUgRiusGmZWd7i9oeR3o2ItKGCMl55kM89vrqCX2dnJ/v37+fQE52cHAk5NKrxzrdupN3MYYQlwvJZ3KBCUDmLnzuwapn9QlhMshx2nuMfvvNV7vjg/XSti1Mb/Twi0olf/iZSPoc0ahx88Uk+/48v8cwzzzA6Okq1WkVKyd13383P/MzP8GM/tvbkgVaaJPftPyMMDqJCB6IOUTnEb78PrOzTSHvLCsfDa6+9lt27d3P//fcTi8Wofft/cvrZbwL1hXbbtm1v+FJyUzzJlvUbGSjOcnrkEB/4wAcQQpB+8z6i8QTNyQxpO3pF9zlZLTJayqFp0JNspCWaBMD1PP7+wON8qzDISJuN3bqLiWKV7wwep1arEY1Gv28iSFfx6rgaDLwK1updy+nyBUvisBrpsIK1vhGzoZV1/Z0MHDlFeXiWiaYmrmm9FcP3V9wQ79AY0cfH+BeNt2MfyhLOuODLusKLDrZmYPUVCU7NYN3Si396FlWoIYJ6Jh0qxUChwAF7iMLDJ9HLAb15RWeiicy69aQ2bUGFckmAo0yBJwNkg42xsYnuQpzjDz1D6cw4kRdn0LMue69p4h1v71mTM7EWRNYh/p1RRNlH8yUosNY3ktnYhffC0JqVltWu7cRfP0FtrrSg4Bg2RajqOcILmMdYtTNEizm0rEt+6t+gXAsKXYTVDSCTBG1RqvuSNG3spDvVctEVh8Xleenl8AtH6tbH0kUTEVRQRNZG8apZsjmDseIWMo2pJY6YcN46W5hxWrr2s/m69cTSEWxnirT1OBVRxHZiuNNjdd7KOa7DWu0P0/fJV1ZX8Gtvb8c0TcLYPv7iay8zPvEiiYZe7r5+Pz3tEYLScTQ9hqaZlz0KOE+y9CMVXjgJgb0DzcgB5zUUJKNokQoxZ4qN6U603TrWdVsIwxANjR07W+hoexWzML+GrOZQTIGKoKkEYc1BD0GTLhpqheOhruvouk5bWxuGYeCbBo7jUnNdhBB0dna+oSsDAJlYghu37yZ35hUqW3uZOjXMxo2baN63A10X9KYarxx5UNN4oTBG9tgkM7Uymgat0RRvat/IW7q2cHBykE89+zAOErPicfc99/DKSD9jVh8PHz7Anbv209raemWO5SquOK4GA6+GC/SuzR2t2NdfIFtcQToUGBGb7buu5WRDlIMvHKB/epZtBZfel4fwozrRLXcvRM/zgUjkpRmui/agKYXeHEd6IbgBUgbEihb6VA2/b5b4A9ctKaujQ/nrJ0hP6Wx8yWVsYhIbg3XJNpqsJN12E/YTWUrffQqZryHHiwDIFpM2I1nPbrMVSr/3GLGBOaJOgHICtLhJpmpjj0cuunw+DxVKHO8kWswCU+A+P0J4dhZvahCEtmalZTnGBkf4+P/5M5LKwtYMNDSG/Tm++IeHGPDX7jG+eTf8xJ3QYzXQoMeRWogvIZ9Pkjuwg1LB5Cu/9wontSwvPPIkDatUHJaTEOsnJgndWZA+0suiggqcW4RQft2bwMkx6+5krLQXkjeucMS8kHX27NCLGLnP0Wk4ZPQo1cF6djvP8q8fwupeBlVn7etoGAbXX389c3NzjI5NcPAMbLn2XWxpB+XnENFu9GgH/twLK8rsl4vlBk/e2B+j1FFi1jS39BbY1REnlarzNIQGsVSOZNOF7YJVsp1o5laq4y+jCRM9sQuZLXHqlTOsj3ajJ9Z2PLRt+9xGwHNdPK8eDLS2tpJIfP+JdxeCYRj82K13cWR6hGxPG8n7biTa20Osu5XWWJJdjV1XbF9mbxsvlSaJiCQ9yUaUUgyX53hk9CQZw+bAeD8yatFUDbk5vZ6fv/ZOfnd2llxbE88MnmR3S/fVYOANjKvBwKvgQr3reUGdtbAa6dAfyLKpoZudv/YzpB9Zx+c+9zmeeuQk1xW2oo1ml2bF84FIQ4TxIM/W1hhmVxvoGnK2gtM3WV8I/RBh6ivK6iqU2Icn2aeuYW9150IgQ8JGZat1XYCpEsFYATVX9xcQSRtryOHnGt9M5OlJVPPGeovDOTdBETfR4hYy7+A8MwSGjtGTuXjCXSgJ+ucWKi1yvEAwlEPTBeb2lgtWWhZjVlX4TPZ5fv+//w82t6zDPpJFn6ryc1t/mep969asWJjOEazaAUKvF80z0CLTGOoUG7wK7NuEdmg3dxdv47PPfxPvH18hNJMrRkjXysI1I0Gk692EtQn8uRfQE5vQ9BiyNoYzd5RivsRUpRcv/nb27FsqvVwuuWtaZxfyNfr7stheFSPaQrK1B2NeX+Ecy18uOoZVvQxWgeM4zMzMMH32IaxglJamOHffdTubuiMEhQOARI+0IGI9MHdgRZn9crHc4CnwH8EtD+DJKVqao2zfeCdG5PyiIYwIsd7tF96oGcXq2oubywAK5Z/CNF2SGQgSG7Hb37Gm4+G8mJCmaUSiEaIRha7V6q//AGB3Yyf/6r738cI1gysy9u0NbVdsP2ZvO4XAZXd6Ix/ecQuhkvzN8Wc4k5/h+fE+hvIzCCHYnm7mx+94J/u37WTLCy2czU/Tn5tmOnvliYBXceVwNRi4CFywd70azo3kLWalG11p3B3NzHznFWzl0PW2bSTtGJtlI7HYBiI1MGYcvGcG0RqiCNtANMaI/vg+yi0Oj/zjSW7Z/QGsbT14L4wQTJfQ51xMdFTSwrxmZQZwoUBGS1jIqboOgvtEP0Ffts7UT9mEI+M06wns4znCG4vEP3JDfXpAF3gvjRL0ZSGQBENzVP+xgLGu4aIId96hMbSkjRYzIV8jGM4RjuTBD9EyEaxbN1y40rIYQuOsN0PP7XvZvX8/zqNnqX3tGHq0gcT2PRfgDuxHqQcWFqKwUqM2+H/xph5DNs2hZWxQirQeRVQCaFh9hHQtEqKZ3kOk452oDR9Z2IeUAQPf/j2U8yRxfQpp+0uUEHVDoGkwMV5cYZ1dKtWrBdVsld6YQWNbK017/8PCYg91ln9QPnvuuFZ6GawFx3GYy06RDA9xz56Qu/bFuXv9w0Q8G9+poVkZRLSbsHgckCvK7K8Fiw2e/CAk8HR0W0OTNfIz/eSsLUSiKeLxBJ3tXeiRllffJhpGYgsyKIEKwK1LWyPiWE03r+oFsVhMSNYKCMOkO1Hjl/aCOPApxDv+NcxXDi4Dq1aR5o/1Cnkl6EJwT89O9jR3r9rLvxJwwgC9MYkAdjR0kLHrz9+WTBtn8jMcnhhmfHKEpliR9R0tbL22k1qthp8v41Sr2F1xRGxtcamr+P7jajDwOsA+nKX4mXGQCs0SYNZL316hijOWozyT4/gv/h+sOY97KykidoZM1UAfKFP646cQSRt9XQbREMXc2UaYMdlktRB7fJzqsznC6RLKDdBCRU35RJpsNGv1W3mhQEace13vTKFK7gI7v/+J5+n7xAyaExL0Z4l/sD4+JasesuQSnJpBVTzwQ5RpoAwNanW54ODsLP6pGZTQiL5jx4qWhyw69SBBo175SEYQjXEi79qx5PMXgndoDH28QkQzQCrC2cqrEjqXXJP5QOAcp8NVecJIHq0sMDelqWaa+cSXnuHtb/llmmfMNUdIl2fh9W2LJfuoQ6cWNBAVGoQ++bkiAfWyt1KKSsUjFjUxzKXW2a4bMDtbwTQE3WmbhkyUeExbstgvsPzX8jIopWnNrH4d2tvbaWtrYX/7fyOsDCCDIn7+MNLzwUwjNIE/9zzSmUQz02uW2VfDcjthLT93/v6dI1qKaHedj+DPoowClqkwtBpu4QjR8CjCsHGtDNXgeoxICyK968L31YhjZPYutB+mT3yXibkXMYLxNfkOi8WEZBgiDIsWOySW0hFuEU36q+zp4nHBUdYr7JXQHkvRHnt9OA7l0EOzTUyhLyEkNkXimEKgTEEinqW7ZYasO8tff3ESY2ILL589TNCoE43HiMavyg2/kXE1GHgdoFUCwtF8fXGKGCilUAWHsOZRqVQ4k50iP1plc6QVkWhGpS3MpgwCAaFCVn30UCKzVdznhrG2m1Slh1Op1ol3YYiywLE1+qZn2J5t5+ynv3vB8vg8VpuvXT75oDkhuqYhyh6q6qMcn7DoUP27g3UFxPEimm1gXteJaIgTHJkgnCiinABZciGQuOMFZkcKaHdtIdkcJ52yF7gXMluBUCFsA217K+aOViJ3brmoQGA+qIifHeVfN91F4kv9VBpLF0XohKWCPMp1CfwhpDiD8n20MIlmxgnaDU66k3g7G7DyqTVHSJdn4fML83I3Q1kdZV3zOLIcQcbW09q6Dc6psymlOHRwHBnKJZLJvh8yl60SBJLNW5vZsLGBWM0krI4gtfOL/TzLf3kfft4DwPT6uekCUvKLGf+hO4sz/GmkOwuaDsJABRX0+AbMhhvXLLMvx4XshFE+7tTDBMUBvInheoVFjGNEcviBgxaAEWaRIopTLuMGs8TjSbTiDI2vwiFc3n6ojWY43PffuB+5Jt9hsZgQwK2L/KiulJjQWlWkVzWregMhUBI0DYGGqZ//+zKFji4EwigTs2dwLEE5W+SJw09w+MGHCNe3EnvzHhKxOOnkG5uM+cOOq8HA6wBvVwNWmEAWHJQXQC0gdANEqNj1vtu48Wdvqi+wM2UIFeb21rpWwEQJ54k+goE59K0t9VL86RmMcY+/mnuSwZeydJkZWvQkW+1W4pqNq3xOHTxK33OP8t/+0zepyFW0XBdhdenWpZMP8dFxNlktaL7CPzND+S+fQ9V8vJfHkHkHpEI0RNEb4nUBIE+CIdAyUcKaX5+2mK1SevA4Y/ka3o52unsy7Lx/D3a2esnciyU4x6MAaDdTGDMOSndWJXSWSiV+8Wfvp6vRoampkV/6Fz+PnPoCyiugmQmE3Qn7igivhB6sQ720jWB4BjtvINAQBRd/vB+ZPIYWT+MXJVQFfv4VpDODki5Ss5YszNGen1rhZiiDMjHG0Rpaifbcgd2ytI8biZhLJJOVUhw9PInj1H0VYlGT4RGPRNiGI7ZgRxNsWV8lzL+0hOW/eCG0WkOq/cDMMDt6ALk2i3Ce8W8kt2Fmrrkkj4bVMG8nrBk2wo4T1gpgzRMABZqRRIUB0psGmccyS4RCQSAwDIXQTBzRy6mJCGFthPb1SYJSH3DHq+57SUVG05kpgEJbk++wWEzo9cSFqkg/CDA0AUohUfjheS6FL0OC0CXin8USVaLJLqTjUywWKRSKNGY2EUvEac000tX06q2eq/j+4Wow8DpANkZI/sqNBINzhNkqKu/gPTdIOFvFumU95ralfxSy6kEgkc1xkEAgEYZAuvU/OhUxuDm+kd+66yOkkklE0cOYrqHVAtBARgxuarqO97z1ozi3tMEamfG8dOuTTz65wnlMZB3ig/WRv9JsjlBJZESAoj5FEUj0thTGxqa6AqEX1HkG6zKI7hR6ewKiBlmhwWwV2/WJOAHpgsPZokPt5AzJpMWmzc1LWhbKD5HjxYtW/ZvnQVRaHD71V89x91t/kXV7dy0EFYv5GkG2wA6txJbmfqQZcvAbZ2mK54noAelMI0ZqC3q8FbNxGyKymdrzE0jvALFhxR/dcgPJJ7+FExsn7OxHdaaojjxfv1/uLCooY3e9BzO5dakTX/bZFW6GmrAvmF0vl0yWUtHfN0cmE1lULdgCbAR0Go0ou3s24msa3sxjq2a9mqYjIq0oNAwdNHVx5e7L8WhYjnk7YT3ZTPnAFwgrufNvnqtEWM1nMOPPE1SP4RWeR2gNzE2O0GDkMOMZ0kaCpmqCmck8UjnI8rFz4k1rl5qXV2R0f5QdPaBdYb7D5WCtKtLF4vutz5/QLZTr48uQgltbeD3rVAicPoSapDHeRVlW0OJRunp7md5UovnancTa2tjU2EbMvsoZeCPjajDwOkGWXdxH+xY0BpQTYGxpwtq31NhocUauCg7+4XGIGPinZyGU6D0ZlF5hi9VCQ80gJjRUFaSrIAQ0MKI2RmOK9KxOTG/H2n9hEt5qWt8CjY1WM4am06DHuDu9EysZw+hKY92+EdwAVfHRbB0sA//oJGFfFllx0c+V/1WuRlQXaFEDS2joDREyezsoNcWZmigxPJSvBwOL4D41gHvgZcJwEBWE9cw/bmKsb8C6vgez7caVJCuhgaERznPolYJzmfViTwi/WuOaajMNcpzhCYdvnThBNG7R3prkvW++Bjt6L1bnDvTURtyR55FNn0HaFQSK6xtmMBseQaY09IRAb2lA0+r70yNtqEgXeqQVTUSI9PwEAN7MY4TFY8Q2/yrKn7vs7PpiDJZ0mcP1ZpDuDAGC8tk/qzP/Ix2YjTegvBxB4Qgakly5bi38vcK8nTBA+cAXVrwvjDhW0zVYTdfgTj8KA1mweyh5NxKUv4VbqjI6eprGxgzXbrVJ6llsw7vwJMO59sPiikysOMDWdaBE4lX5Dss5Dka6A6t9y5qfv2isweW4WBGnN4o+f0Q3COdKSOBEboIb29cTKsnxmWPg9RGP2VzffSeFwSeYcwwi27pJyiSJde1s7ljH/o716PqrTwldxfcPV4OB1wsXa2y06HOyUENJheZLZMmtM+I1Det0nk1WK8qsZ+pKaBC3wA3QIgb2vi5Eb4ZwYG5BHGe5a6Jm6+iz9Yh+TU/yQKLnXUTJp6HPIXKyQFhwUBWPcDhPcHYW5QT1f08UkXNVtJqPcfsm5OAcwWCOSNmt99ajJsb2dSRv7iU2VkABYSCRXoCaqSwcV3BqmsA7jex+GkSIUoqgFuBNaQRHekgk21aQrNynBoh/Y5gPZW4h9tg4lWPeeaOiQJ33hGgwcQYUUd2iUzTw0LF9TLVG2Kr38u6jb8c7qKPSHohTBNoZMAJEtAnHTvDs0VO868bbSbYrFHlQLkoJYL7cHeCMf+08ESzSCufK0Zow0S8zux4eHl7QYhdBFsMfAkD3+kBECfUmlGZQ6h8jXvw8IiwixRhMHUBTPkrE8O0dKBFFD2aYK/ocOgtPPvXsAk/hSmC1zHK1BfWiIR1S1W8SeHMMTmXIhdfRnkmRjJ2CoIjy86+S2YsVFRkhK4xOw9m5HgrDURhZXYxKTB3D6Hsc3DKaXwNNI+y8hmDXey763NfCWlyOixVxeiPp8/tDk6QNm7OFGf762FPI0GN49llsKmxpegt3b3o7w7mTnPFHSKRa6dn31oURx90t3Vf8+K/iyuJqMPA64MSJEyAVxhYNwiii5Nfn4F+awSvNLiX6Lf5cQSfqltEnK8iSRMsrxJFhZKVGp5GpZ8QRAz1mocVNVMVDWAb6rjao1svA8yN1y10TMQSxWoH3pa5lx6atSzzJ5+WW/dPTeC8WUPkqwVCOcK6GqnpUJkuomle3HrZ1lFKEM2VU2UPzQrzwLGG+hio49exeqvokBYLsXJXsbBVNg+bWON7Tg0uOSwUhNGlocTDWb0HTUvjHJpHZKnIuhppV+COTS1oIsuKhhYrZsEzQGkE0xRZkg+07NhH/qf2I1gTl0OV0n02vHSEVj/PT93qMJk1802DOL9GhMgtCUqrRQ2s1Mdq7KbT+JP/2Vz7L7b/+K3R356kN/g1K+oT5U/WsU4+iR7vQIm0IPYp05wgKR3it43fDw8Ps2LGDarVOIrx1N7zvNrBN2Lau/l8/AMeDfBk2d0GlBof7x2ltgHQcdAHDM8cplCFXgoNn4MVT8MKv/zpSXlnDmsWZ5WqkwdiW2159I+cy57A6jCUn0bUKW5vnSGRCYo0NRIkifadOaJQerJXdLyJCzldkSskif/vwN/nYp/838L/XPIQb2+A9m+pO4ApIWvD8xFf5wtn/clHnfiEsJzXOcznWau+shjeKPr8/NMV1yXayMZ2xcp7Q7SOmsnQ1bGBr02ZGckfYlGkk9JuJ2l10NETZ276XdanVbd6v4o2Fq8HAFcSFSnr3JnZyf/paBr6e5Y//02NrEv3+ffO9vDu1D1szsDWDpIhgA/ti3VhZj3DGJYzpTFZzqLxLxa2SfeK7JJIJZFuc1ttTdE1NkVrmmqi8EP34zArL48Ujf+FECTlVAl1DuSFazEKzDVS2gshEocNGM3W0mIkWsQj6Z9EMHRXRMfd1EPZnkbNVVM0HqXAOjTIehOS3tNDSlmTDxibUkwMrjktWFGG2ih6TxHf9ErXSAMHILMJL4AxNoiojS3QM9O40lbd28id/+hgf+NH/SmLjjgXZYDlTxrhnK7LqIcoBzfFmDL0fK1Ukis+6tIkdKZKPO0Q6f5p1TevBl/hhDdxD6OkEsZl/5KPvAKt2AOW3AyDdGaRfqC9ImiD08lh6HIWOM/YlpDN+yeN3yzE7O0u1Wl2o3Fi1A0SLX0GJFLo/hJDn5ucBKVLoMktgbiDzlt8CdEQwhZAlOpEoESE0Orhfz/DAOa7ImhWhy8TizHI10qDiwqqBcD5zjqR20RlpJiifrmf2sopuZtHMHjQ3WvdaeBXBo+V8h54WePbFk6+aVWvlGbT8MEQz6GceQeQGuXfdjfzm7vde1Lm/6jkuIjXOczm4AKnxDQuluDHdRef2zYyWcvRPV5ic6yduhBwZf+TcRxTNsVaq3jT5wrOETb3A1WDgBwFXg4EriPmSXuGZs8iESdgcqS9gJY/Ic9NYp3IE3Qk+8O7fBUNgnsjVs2hTYA6VUIaGdSiLfnIWp1glHomhnyPupg0bPVAoJLIcki5p6CpKgxWhTQvxXElutEbx2yewehppvmnTCtfEyT+cWWJ5DCyRW9YsgWhJIFI2WmMMoyeDnC7jn5lF70hh7mhF5h1ExEDt7aD6OQdVdNAsAz0dJRSiXhFI2khNwy15eGNFmq7tXpDWDVdxcyx85iCq6OAdG6Ew8p9Qro6+ZQd6dB9ydFngMFlCFl3ETotQSbRasMKoaDEP4257I/hZKm4HM0mHvsEX6c5M091xhL7xb7Ppzt8BQE014A3qyNooul/g+q0QLT+IO9WDiPagp3biTz+KQhCUTiLdadywhpnajjBTlzx+dyHs2LGD/fv3407nqQ40oMc2ENvyRyjvPA8hKJ3Am34EEVtPi/nkImLaW9fkJsxv9/XABUmDF/reosxZMxKosII7/Th+/mWE1YwR6yEUJrrdclkVl0vNqrOV47gUcZIJ8hf43Ozs7EWV7k3nFZRIEBodKM1ED6Zokk8R177/pMbLxbyeQTTcQETNLXnPC10KtSnSkVYiVpKI+dpFla7ie4OrwcAVxrr2ThpmhpF9DiLBeWOjnA4drUTu207kxo0oLyD/918nGJirj+zM1mfvlVQESlCSDvGGRvTIOfWzWoASCpmIEFRqqKJCoNVJOZpGGHg0uxb+ywWcgyPo+/etcE1c4NtFzt/21VQKQaE1xUHXcL56HDVXI6j59f/2zaKkqlcPSi6ariEny3hVD1XxULpAxSxq+RpBKDETNnv2dy1I667q5hjUuQJEZgm1IiRDiIyidc8Qe9OHMLs2rbAqNs9U+cXGt5D42hDVhgoyVz0vG7yIh9EU7MatbsLM2EQayxx4KUup2EdnW4AtzyD9CsKML+nt1oJRnjj8Te68z0YFRayW29HtlroSnwxQdjuhMwZhFc2IE+1+P2bD9Zc0fncpUNKl1v9XS5joqABv9skLEtPm1e+s2mlu2gFW7SDuTPmKqt/NYyVpUMISOV+FrrHstTo0TUdJD3/2ybrRkzuFcmcIgzKoAGE3vybBo0slA1arFX77t/4Tnz7+Gxf9ndVgGvCr74PGBBRrICXEbOhqMXj7u36MltdQRXojYGfH7WxvXzqW+djpT5KrjpOINHHP9p9H/wE+vx82XL1TVxoXa2yki7pSnlT1cqrQ6lUCpdB0wYRfoGH3bhr2bSScKOE8MwhVHwOB2ZQm1Ew85eNXXaZLBQI/oF1PkVQRjEmtLg40VcZ9oq/OT7B0jKkqg16WmzYtFf9YrFK40mmxipaJ1CWEU/Y5roKPKnnIUEI5gLlaXVEQwNRxax4qUIRNMVru2EjXhsYFDX5N01bsQ3lgNO3A3nwzIprAPfUyQfEwwfQrhJuPYIrNK6yKlakTESai4iNFbQlBc7EnhD9bgmeH0Yfm6PQUsUgrHhWUzGMZAZwbuVucoXqTB/nMY/D//NYOUP2ExWPorXctBAt+7iDuxEMgPVRQRvqF1ycQuAAT3UzvfVVi2rz6XbQ0xU/dBdHSl6kONL4u6neLEVYLuOMnkG4Vq20zCIEojPHLe8E49GnCXdvQo/VncEGNMNZd93EIioTlPlRQRjPi6InNWI03vybBo9iW2y4pGHBdF8/zXntbRYXECp/G8MfRlAOE5AsVvvTVxylo++m6AlWk7zVejTw5lhsjXyug18Z5xTl8RbZ5Fd8bXA0GrjAu1thI0wWJf3UrwWDdpEeFCjlTJ8EVT44STimEL6k9fKbOvM9W64uDrdeZ+s1xKnN5fC/AkBoZO0lUmYiaRJzKU/3My8iiQzCcAwUiaYMNvgrrgcdaWGUKwujJYL9pPcbeDuRMBZWrUf3yUdwDwyg/ALR6MCAhCAMC26DWkqB6XTcjlsHJb50GIJ6wuPlNvSv2oasdmI03ENu+F2N9A3pwPeUDf4RKnsYbfRH/K43IEReVryFzNURTHJmM8IXCS/zkvb9Jd8d63KcHF2SDYw/sx9jYhO/7HOr7B6IWxHI6R1/pI9JcZvN6l3jCoqmzd0mZdnFvV0qQohHpvkCo1xeleNNNyNoEQf5l9PiGc/177Yq5+a14lpYx0d3CGfoOfQa8A4wU2pmo9jI0/AjTU1P80i/9Ep2ZXiLB0YXjgbr6nRIphqYgNLox4u2vu/qdCnzwHcLSLGEsg2aYaLlpupMganmU70A0tcT2WTPToEJAR1hNiNg6Ih0/QrTrfUsCreVa//NVD7N2CBlsu2zuwmq4Em0VGexcQmqsnB3mz7/6OPf/27eu6pXwRsXFjjhmOg0iKR23LMmN/teL3v6ljDlexeuDq8HA64CLNTYyujMY3Zl6FWGyCJ5fHzLwFRkRxTw6R+jKesXAC+tuhRUfVSmgQonleug+CGyiWAhNIHSBZRqotIUKQrSogcxWCaoeIgJ7I93Yh2ZRb1erivqs5rQYDuUIBnMY+7vQWxNI20DvSCGa4yjbxNjQgLGhkeD4FJXBPPm2BMeuaaVkAkOTC9tOJHSsyBy6xsIEhXUihzFSRhyYxivM4bypncgL00TyBqLJpTg9gfH4UcwRIJB1ieehORJ9Jj/bcCtBg4V9Yw+q7FEbzuEfncQ/PoW5qQnfKaENfAujNIXYFLJ7o6IrCWa0TENmHZnGFpR00YSxRLAG5dPTCqZ3mjCcRIZVKmf/FCFMZFBGOuMIK4OIrSMsHH/diGCLqxVBEOAb1zA49pdsbhyjw57ACIbo3ABs0Ei4TwD7WExMm4cUUf78a/DB3/goiZ31xe1Kq98tXqS1WAGjM0mQamWusQNf62HImeTzZx5iq96Ld3oIxOi5zLmA4c+gqREgBM0iFN342m7c3D7IDwFD569J7QDR0jeAOpHSKxTqVY/Kdwirt1w2d+H1wnJSYzBykFz5Al94g+L1HHGESx9zvIorj6vBwPcZYbZC6fceIxiYq2v756oYZYduswG9XGeus3gkTElUUB/dMzWBME1c18eTAULoRNNxxIZGkOA/P1x3G/TqFq0WcEO0F/vwLHKuit60smes6QJj4/lMbH6R9V4aJejPQsSsqyVOlxBREy1hY25rJfHzN+M+NYDzuVfw4hq//+e/Rd5d+qvn+y5T02cX/m1pOr/adCdv3mHSGrQw86zJ4T+boKtJo+v6QcpymEcefJqdL3pcE1mPpwISwiatR4n6MW6PbyH2xAThznNGRVIRThSpfvEwejpKrX+K5lDDaKtitM9i6Yo0GgE66ajECIYIq0Noic1LMtREbpqPvA0MbxDNTqDbbQSFw6DpCKsREetBj21EulMsHid8PRzq5qsVvu9TLJY5eXaS3mtcwkBQKocoo4FEKoOm2+COwirENE35/MI7IV74DO5U7pLV7y4Giw15pHYYlZrjWN/LvPzkV/jUw3BmFIQQ/Oi//M/Af174XtSGzqb6WKShQ82D0WnIlaE5DZuWEdH3bIC79sPAJGQL9ddM0ySS7EEYCfTUhQWP1sK8jfE8NI06P0SGaOKqWA68cUYcr+L1wdVg4PsNX9ZJdE6w0NtHF4RKomwD0ZRAlhwo1kcRNdtE35xBVT2k46PHdGpTPrVKjbgrsGoR3GwJMVFB5Wv1qgLUB6gVJIQNwxWC0zPotyxdnOb1BvSOJJg6Mlc7v8hOlwlG8miqTnJUZQ/MeuBg7GqvjyaOF4hGDMpRn1P9L/I3f//JFT1X83T+/KSF0Eg8eJYon0aoftbJGPtSEYgGqIYmwqbNbH3vO5BTW9HzLv66BNOPHcH/bB/rZJQWM4XxyBiT3lOYRQcraqJnomhCEE6VEFmPVOGduNqLyPSLSC1BRCYx9RSmWldX7DMSoOlLBGv0YIZEFAKzk/iWj2Akt1E9+6dIL1dfnJUiPDcCt3icMCgeozrwcaSbXXLOmpEk0vkeIt3vu6SAYHG1YmZqkr5jT5A0cxiGIB6P0bLxemLpbuxoHKFqKHeZu+C5xU0PptjSBaZzhNrw9EWr310qVOigWU1oNOC7FaazIXfc/QF+5Bd+Gml1MTExQT6fX/IdkwJxbWLlttAwqNGiH0DjPOkwrE3iFM6yafedGJv+M0qL0NzcTFdPz2VXO5bYGDsl0HTWJcB84ePkZp4gfccvLHAcFo4jDDlx4gRPPfUUTzzxBF/84hfp7Oxkz549fPrTnyaR+MGbEriKH25cDQa+zxAtceIfuaGeweuC6peO4J6eYDw3woZ17UQ3tRGOFAlPTNanDfwQzdbRMin0lI3UNRoaLOThQYxqSBiESMfFmq3UFWgi534ghQZFB01q4AYEA3PYt6xfOI7FegMiYZ+fgjjnBqhvbkZzg/oUQMUnyFZRxYDAMvAOjuK/OLLwWX9jFJ9wRc9VeQHlp59bMmkRxprwVCPK9hHtBqLZQsQaEKndiMIWIh0/gnFdI5g6Qf8sUTVKyYyglIYpDPxaSP7sLCQjRDY3s/En9qFXfGS+RjhT5uTRSbJ2QEvjFJropvTcXdjjHuXJJtx7t3Hztm40TSwRrBnxjvGphx/irp/7aWI9d6JUiJHaQVgZQIUVpDu1pt+AdKYJnQnQzveDNW0Gd/pRzMbrLpq0t7yfrhVLNHnDdDUrPF/hhqB7z+EVokRiLaRbtmAsO555zkHNi/HZx7/NW3/0RjQxfdHqd5eCoDiNO3YcTSXB24szF+XY82e5YU+artwp0nfcvmr/3Z1+lNrQS6ta/JqZa3Gnx5c4/k0Pv0T/zFk6MhnaYo/VJyzs3SgvednVjsU2xgDoBm1xEIVxwlLjAsdhyXGXRznwnT9mbnKS7lSeP/ovP0kkGiUeT2Bo3ip7uYqreGPjajCwDKvJ+F7IOOe1QtPFwoRBmK/CFw8jci7rjCasgRLecA38EPxzGb4X4lddirkcWaEjpmtMnRwiU9NJkkT5ksD3iLYlCQ0d5Xj176tlJCqvPs63cE6rTEFgaPVAoCOFsb2l7k4oQEvaVD/1Ev7pGUAhx4qImLkwMeE1VVY/2TUmLez0j6NvlpjXp9FMhWbEEGY31b85Q/WJI4iEXecvfLefRLmGJiKEAqZ1n9q1vag9vcwKDVJRrLyzYIYkpWI2BKZtCCV+rUy05Z8QliCI7qRWbkTK9ej60t6uH7U40g9Kz9Tv0Srqdov9BubbA37+MNLLo4IaRnoLwmpARNrRhIWmRy6NtLesWqF5RUzhUqxZzBah5gsCP09zY0A6Y5HqSBDt+WnM9PlgY55z4B56hScOQy35HszMoUtSv7tYKN9BBQ7K80A9hd0YsG876KUhwlLTqgvqwnfXsPhFr/spLHb8G8r9JadHH2TT7jJB8cQla/2vhuU2xlOnT/P5P/wq9+5+L4kdu1bYGEspqc68jJn7MpviEGuJcfPNXSjl4OOhBxNA4yUfxxsNi6WxrySu8gPemLgaDCzDajK+87r3kXu2okWuHAN4cVk+LDpUPvkSwelZRMUnJgw0VwGLMiZDg+YYYcIgPzGHnA6J1jS6vBgJ3SSCiR6CXVYkf/MOal8+ivPgiQWpYjg3AagU3okpxIPHF85ptSkI7+gEYX8W9+UxvCMTiKSNlolg9DRgXtMBfohoSxK5b1s94LD0OnlyYJpuI7MiALnYSQsAFUpEamQhcJDZSt0OWkEgA3TLZnJ2ig033sT69+3nheeHV5ghCaGxszOFPF5GS3hoagwSEpoFsbYaNHiIoBfMV19ALuTmN98vD6sjhM44Kqzizz2HnthEtPlNWE23It1pgsogQWVw0b1Ym0uwPACJhB5Nmk379mPIuScg2sv0TJ7Tx55kbugMnV2n8HMvLgkG5rez6Aa8bup3erIFs6kHpQI0BKKUx+gGY2uC2PZbVyyoK853FYtfb+ZxYJnjnzfB8BTUEm+na8OuS9b6Xw3LbYxlJcGLUyC79hPdvLKaMTo6yvDJk1Qredq7d7L72jdjpRvR0IgKC2EmL/kY3mhYLo19JbGWjfpVfH9xNRhYBrWKjO+87r3ensK64cKOgBcLWXFxvnGyLjZk6qggJByYQ0mJMnUczyWq64AGAtAFek8j6sd2UD00TC1XJh2aRKWJwsRAJ9TANAQi5xEO5CBu1zkDGgv+OgpQSkOOFFac0/IpiHCyRDiYg5KLDCQyV0Wd8PGeGUZviSFak0Tu3Qp+uCSAihVy/Fzjm4k8PYna5S8JoDTbIGiLkrMc/vrPP87oK2eYG5hgrH8IqYNM2/zW//kYe/ftY/2iwEHWPILTswzPTvKH//X3+PV199M9l0J95SRn9zSSzdaYy7mEqsRLLxUWAguRdUiWXAyvBVXoBGkhW/Kopgm0/IucOvApnMQ9S+7N5cw9K+mgGUk0PYoKa6AkYbmP6tk/wRn9EkKPoplLKwOvNu+/WgAiVIVq6SmU20+CAkmrBtJH1Ubws8+gut+/kO3Pcw40WcU0QPdHr4iHwmrQo03YXbcvjEHOnPguY8UXuTniIBK1FSS8IAh47rnnOP7sJ8m4D3P8TJZC5b/h+Dqxlv3suvHHuevmdlIs1VkwvTKOD769E7vtnlW1/hH20kBUKVQYMFkrMVYpomnQk2ykJXp5i3Y6naapuR7cjE7meOXxBIFURCIW6XSK978/Qlp3sW37ci/n9x3LpbGvFOZt1GdnZ68GA28wXA0GlsFaRS53XvVu3hFwOS62tbD4c85TA7gvjtQXUCnrnxMaRmuSwq4Uj3/2Qd62+1Zi3U1ouiAcyYMGUU8Q27WejGPUjYFCiar5qKqH8kJU3kHmqlS/eBjjxm6MXa2EI8VzUwUBSipEIPGnSpC08E5PrxngBHvaqTRECSIG+lwVo+YjagVU2UWpGPat67GvX4fzyNklAZRUFZr1BPbxHP6RyRXbr9VqZLNZYsfy3JXrxEx0EmzZTc1zKUiH6c+8wIAdZ8OGDUtHNG9ej3PwIB//t0/xS1t/Bm1whuGXT/H77/gkmzffRMbO0Dd+hP+n/ylGgzxw3prZEoK0iHN7fCsb7Abk/uOwsY+BiW/wx//0H6gta/NeztyzZqWwmm7FrwyhaRoqqKD8OYLCy2iajd12D3qs6/wXFs37h84UVu3gEqVAWFk9CPwAGdRQegM1ZZOrTeMXbTQRQSEWsv3FnIN4vsav3Q+x4ucJlP+aPRRWw3JDntpohsN9/437kau2JDzP4xtf/TvaxEFSzR63XpMmCEIgJJGYwMg8h2W8Z4Wwkip+k63dYDmHgHtXaP17s/2UX/jqeTKgEHhTZznwd7/KkOfxwsY3E9ixBTe9t3RtueT2XyKRoKGhATTIZydR/CVzczUGp21mqm3ceuttmKb5Ax0MzOP1lLC+ijcWrgYDy7CaXO5i3fvVcLGthcWfCwbro4Ra1ECkbURzAkouWjKCd22UL378Ze7uvAdrTwfGthaqf/8SsuCgpstEP3Qd4WgeaYh6pj1WQM1brmlAqAiHc4SzZfSYhUjbSAEqW0YEWl2WOFclGBQYHbMox1/R/jj88jijIwWqVR8a48Qsg1TNp9OXpDJRInduJvLOHWiatiKAqjzxPH2fmEFzwlUDKNd1KZfLqIpH1EpitEQJNYk7M0dzVkeeLFB8oR/eXv985bMvo3emsPZ0QCDZZrWRKelEOjpotDr4/dYbCKshtqGR3LQD7Z0/hb8+iXNja306YxHsl2aIPj0BWzrRtr+CVC186N0/jjTTyLRJ2BQBTbusvqawmpF+Ht1MYDbejJHahjv+Vdzpx5BBgcCdJnXtHy4phc8z4IPiMaKlB5coBcLS6oHnebz87GeJuceYLqX5oy9JNva0cN/+GHqyESOx4Xy2v4hzoAezdLeAkBX0+LYr5qGwGMslgLXCHDOF+lTA8paEUgrHcTh58Cvsu61EIgJGpBE/VBg4pBM+hjWKZYQktvzGEsc/2f80mTgY7gmkl0d6Sx0jVaiWkAE1w2R26iyzxSx+NEV3JIYbTTNcnuOR0ZO0xlLsaGy/pHM9fvw4Z158BhlKuttsEnGb9W/dzMjYFE8dHKLvxDPEYrF6wHAVV/EDgqvBwCpYTZJ3Qfd+FVxsa2Hx58ykhVHxkGUPVfWxr+8mnK3gvTRK9JEsN0Z60ao+4USBcLaCnKvVd2briEwUY10DAVq9dJ93QCpEzEI2SJQElavCXJVgPumRoC1u4esa2rnxwdWy9+npMoWCQwZF+4kpqPn4NY9yLcDY1kLm1g0LGdXyAEpzQnSt3ptYLYBqa2ujpaWFXX+5ESo+WlOM8dw0n//EP8DXxnlLxx7Sor4YyrKD8+BxZMlFxG0aq2X+oOMDmIMlhG3hNicQmobVGaGtO00iYiAnSzAlMPt17FvWE9pH0KKNaG4r7nEPt22QMDaJygeIcozGcQ3NqCFSEnNn5tK5IYtkg0GgGXHCymk0oWO2vBU/9xJhWEHWJiif/D2E1bjgMbCEAa888uVFSoGwtHoQOGjlIxjaCHE5wn94r0UqlSSVTCG0JhA2XvaZhc0Z6d3okXZq1b38w3e+yh0fvJ8NW992xaWTnf4DFA/+CbLmo2oaCB0zkmFHD2irtCSKxSLj4+NIqai6gsNDNsPjU6zr7mbDhm1s6Ipi6BqmexZCF+YrCipE9yfpbQerdojSyY+BDJaMeJqpjUvIgADPDR3nSHaM3nQrH7ru7UhN42+OP8OZ/AzH5sYuORhoaGigvWsDJ15oJKfvYueW/STWJbBzX2JH7wx65SWq1csPtl4v4h5cJe9dxdq4GgyshlUkeed171fDxbYWVvtc+ZMHcB4+g/xyFXRB0D9LxA34mYY3YZ0sUDtbqpv4ADJhUhgZ5+zLL8M20FsiGGMh0YKB5oZ12dWkjcg5WNPhgjHRaghTFmZTDOUEq2bvbW1J2tqTdEcMxFQJb7bCbM3DUYpCxaNz2bVYHEDFR8dZbzYTtsVWDaA0rW6wlOxtxXEc5sam+bu//AQjx/vYayVoamwi0XGuRG8ZiHQUWXIJsxX0mktKjxDEDYrrmji1tQVhhCQ3WqjOKKLsE3tkBmOojNY3TvjCMYyNX0MziuDH0GoSWlyIFqESwS91Exoumu+gn5lBDYxTK07i7Wi46B/O+RG+uihREyqsEeRfxs8+D3oENAMQqKBEUDyBpulrMuArDlQyD5DYeX4xma8eKATlWoBteESERyKRIBqrEY1EUUEOb/Zp/NyLS45NmBmk8RZeOAmBveN18VAIa3lC5wgYPiRsVOAR1eNsXQdKWmh04PS9sGAalHNMBgcHcZwaSkkcT+dzTzXQ1WFyw2yVfddch157CW/ueSqDn8RMbETYW/DzZxG1CaIGaEEVWZtA0yNLRjw1YS4hA1Z9j9PlGhNmips3XkPDOZ7AlkwbZ/IzDJXm8GWIeQnCQi0tLeh77udP/uZJ7rnxbdz2rvcgBBw9/Aq2NURcGyH0Lk9m8PUk7sGVJe9JKRkbG+OTX/ocDz79OEop3nPbnfz0j36Arq4uhLiyKpdX8friajCwClaT5A36sjiPnyVy95Z6r345N+AiWgvLM+hgLI9/aAJVcAidAPRzZkVSYWo6WqDwPZdAhVSky0guR1/f0/zjn7/Is9X++vbP9cSb9QQ/lr6enZEOWvQETUYCgbagy66jwbl/u6HL7NAs6wwdM2aj3BD/2OSSc9q9t73e9w4l4Y/uJhZIRp7sx316iIaJIs4TfcR7rzunRljG78viD2Sh5qMXXBQKpWtrBlDzqI3nqH7qJawvnGZfJEZvupHMrnVkbquTloRlkP7Y2+vGS+NF5s4M8Od/8Fk+cPedVJqaQYT8v7/zS0wMHsfUdDJ6lA+k97PVbsOXIQVV5Zo7h0g2VdEsn0DzmXUdzuYqnO6z+KcXn6Lg+zTqMX46czM7Iu0889k+Ppl/7qJ/OK2mmzEy+6ic/D3cyW+gmQ2EtTHCygD13o1AWA1YzTcTXffjhJXhNRnwlgnx/D9QOXNgRfUgFkvwlvv/F+741xCRDjTNQHqzhLURwto4oTOGlbl+xYie9K+sTPKK8+/Yjj13M5DHmz6JCstoGDglCMZrlLJPo5zvLJgG5VLXMjg4iJSShoTCjsCv/5gFwRjrmvoIJmcRuotGSLk6jCZ1VC2C8iWaM4uTAzezlfjGX1gy4rka8l6NauBh6wZpO7rwelMkjikEVd+j4NZojl48mdK2bdrb2/nrj3+Cubk5Tp8+ze/8zu+wtamf23bYbN2ygaatGy7rWr5exD248uQ91/P4y8cf4tFcP2MdMUDxzcIg6pmH+Xc/+gCWtXpb9SremLgaDKyCtSR5/ZfHCYdz4MkV3ADrum5qXzn+qq2FxRm0zNeQuSqiJY5oiKGZAlnxCF2XF158HqQiUIq9u3aRaOlie9xghyO5d8cHqd6zNJMXWYfU35/G7C8iih6aVChDQ+miLiCEQinQAokV6EQcF1l2UbpeX2j7smvyHYyNTUxPlRlrSmB1pWgfKSCzVVTVx3thGO+5oXq7o+KBpqEEJEUEY7SM+2Q/eu/+NUlayWgcPxKnM9VCR1MLnZ2dxFIJrEXkK5GKLAgkVV7yOfGPDYwZJs2WieNU2Nqyhz+95ZdJmRFMpWg0QDZHqN7cVm+rlIvowTSaVUWmBI2JBJvMTu7VM/wrJ4RQIioB0ScnMMbK3HbtT3JPc/6SfjjrWgIxwuoIKjiBDKoQlOpl/lgPZnoXsfUfwm65HaVWYcCfq/50NoHuD+Jn51atHkRa34rd8paFPnp9W/+X2sg/orwCCHvFiJ489PKrHv9rgdm4jswtv4+sjZL7zv9EOoM4kfU89Ngh7tmaQGvT0BaZBrmui+u67L92D9s2DJOIG4BFqSDQUShvEt/uIBrLgAbSKaC8OdCihGGakTMTJNddg9Vy26seWyBDpJTomsDUz2f/ptDRhUAqRaAuUEJbA372GSDG6RMjfPfJZ2nPeNx6bRMbOtLEUl3YsddWgXmjE/eUUhyaGuKR4eNMVgsUhscxDIOJeJzvDJ/gbTOj7O/c8Lpos1zF64N/lsHAa+m5LZHLNQSi5BF5fhorl8M2LeKZCGIVboBmGRfXWljUgsAL0Xsy6K0JjL0d+EcmkadniG1q5aYPfZQXRo7x737t3/DIB+8mkxegNLQGk8j2TUT3716iU6CERvmUxCv3ERpVlJRQOacvEEqwTbSUXa9CuD6aA0pode8Dxap8B1lysW9ZTzlmcvjQONWxAh2BJB430SwdzdQXeBCiOV4/Di+E4yViwkKUfcLZCqrqo61BvtRbE0TetYODT1ZIE3J9Sae7r2PNIMJ1JU0NXXiepFxyKVd8mpKtRLCxPZ2ortHQlMTszhC9dhfG+rVJXCu4IX4Esa+F2Lv3UMsNXvQzMz/CZ/c+QOhOExSOoSp9KGWjRzqwWm9fYsO7nAGvpIdmxAmsjXzpSXjz/e/GatXXrB4s1g6Y31b9OklUWD0/k3+usvC9wPwYpNC6wa8Q2B0cmYBg+zvJXPemJaZB69at401vehOF3hqRyDcxY3Gq1SJ+mMUwQBMCLXMrDTf/L5Q7hZ89QzA3hJ5oJ/voQ4wPnGQnF1fWN4SOEHV5bz88L2vsy5BQSoSmYVyijLGSHs7kt3HLE6jRATKlY+y6JsP2ngY61+0m2XEbhrn2JIHIJDhRmUVND72mEcfvJ2ZmZvj20ZcYmJmg1j9O8NQxfuojP8Ozbo6+6XEePnKAdWaC1tbW7/ehXsVF4p9dMPBaem7zxjlpPUo5dAmRRDSTNiNFiORZf5D/8eX/S/e+LSu4AcFMedXWwvJFbS1XQP/QGHK2gpwqoYoOiUBxTVnnv7f9KPbxPEEg0DNRjO0tmHs7V5cPzlURbQn0DY2QjuA9dALl+ODLuuJgza8HJ0JjLqySieqIhIW+Lk38525ExO3z53RyGvfxPmonZ5goOkTLHlsNQZshsFIRzL0daJaOddM60BT6+kaMDY2oisfU70/SoMfQasFC0FCpeBTyDq4bYBiCZNImGhNIKfE7Yqj1aZ45fpzs7ARv3rBv1SDi8MvjnDxeIRZvqFsuaHVhocHiGMEH30Zjby9m1cc4O7vqtV+BS+SGrIYVNryaiR5tBxWg6TEinT+CiHahx3pR0gUUYXXlvL/VdDOVjM7DL/0pXuwmYhv3rageaEZsiV+BJqyFbSkl0YSNdKdQXnaJMp8Irr/kv4UrgekayO7rsLt2LTEN6urqoquri1rtGlTwCwSVMV556psMDX6Rnc1H6E1msPyz1AY+jpm5lkjnrYgN765f70ceuaRjyFhRYobFdLVEwa0tvJ51KvhSEjOtJe2Di4KmI8wUlpXl+j3dXLe7A03YCLu5zl1ovnXVr4VS8kJhjMTd1/GtbB8vnsq/phHHv/3S5/j8w1/nxQMH+Mh7f4z/+Kv/hmQy+T3JxqdyWYZy08ggpEWa3HDf2/nR+97B9NPfJO/McGximPHJyavBwA8Q/tkFA6+p5yYVsW+NYEzX0JwATYIyNGTcZNAs8pu/9yv8+6hHt9BWcAP0pL1qa2H5ojbfgvAOjaGfk+8Nh3KE4yVUxQVTR4tbhJMlrPEC+6Ld6HMOWlMSrTF2frFaJO3rH5+qVzHSEfTeRvSOBLLgoqUi9b79vALh/OihLsgGZbp2N5IMovXX3RClFp2TphFGTWamy/hzVdKmTkNrgkRnCnNH64KEskhHCPrncF8cQUQtlB9incqT0aNgG5h7OzhyfGphTDHwQ3Rdw7R18s88R9XMMSHzfP3Bh6Dgsie5B5RaCCIWY3q6TK0aUixO09Rs0dKcZGCgRCLdgt8eZ8NdWwBwHj276rVfjrW4Ie6T/XBxFgIrZIOVCtGEjdl4PWbDjdjt91I59fu4E1+vewxo+oIN8op5/3MZ/7zokV0uEankCUujVGoHUCJCIvcpRJhH6glAoCkHPZgBCVJfjxu8CaXZ6MEYpnsckX2K6fzkGgfP6+K0eDGo1Wr8z//5P0mlUqRSKT75yW9x3SadPV1NmIZCC+bws88SFI+8JqnhmGnREUvTX5jlRG6CG9vXEyrJmfwUAL3JxksiD8Kry1OvhaNz47xUmkRvSNJixWmLXd6Iox8EfOal7/L5kcMcT0vU7bv5FtPoD32W377/w9+TXv1kfo65SgnpB2xo7+K997ybO+64g4f7j/LyYJapuSzDs5Ncw97X/Viu4srgn10wMI/L7bmpPftWlcstDZ2k9t99RMGj+smXlnADsHW0xlg9C1/s9qdYsqjNl/VFUwzniX7kTBk5WSKcLEHURDTFMDpSmHvbCY5MwngWBUhbYOxsQ9jmwmIVe2A/sZ+4htKJMQ7+6icI56rkKgVCA3Y09tAUTxONRNHXZTDWNSCLLnKiiIoauF6NgaFZdqdtyGkQhFT/8eV6dnzunGR7kjOdaSZzVTKaYNOGBpp7G9Dbk4jmGNo8U1gX9SmIE9Ooqn+u/+4xHZRIXteCff06pp8coFBwSCQsEkmLMJBkJwtEjxawClnC2iy/kryN1u4mehMt6HFrofKwGG1tSarVCC8e+gr/43/9Mtu2biQ40kc3MfITdQGm5dfelT7l8bMce/FrnDp5kpOnTnHi+HHueOsd3H33Pex70wOYkXT93i8K4DQnclHPy6stDEqFqwYLy02OvNmnaY7VaG6I8pGfeYCORnjfbbC9B17pg7968G9RwM+/A3paIRYBIcDzIVeCg2fg0ZfB8/8JqL/3wTvh1t0wMAGNmeiqIkqLrYcX49XUEV8rNE2jKzXB+NRpDh/yqVUKbOzpINPoIqIJrPROjMx+gvzB12ystK+lm5P5Sc4WZvjrY0+hlGK4PEdbLMmuxq5X38AquJA89Vp4ZWaUQuDiT2R5T/NWdu3afVkjjq/MjPDg6UMM+iWqBoh4gmxc559mTrLx5HP87J7bXvfqQL5UpFypgFQkYzE6OzsRQuBWqtQqFWQLyOV+KFfxhsY/22DgcrFckncBw+f+uAKJdIKF0rKSCjlRwnnwBP7BsRVuf/OL2uKyvha3CI5OIudqyHLdmljvSGJuakZ6AcGZLKroUp/SVmihIhyYg031rGM+4xVxCyYrtJkptKhNp54k8APSJYFfK2M1CfS0DQJU2UFVPXB9tMBnS6QNc7AEqQzELMKhPKpWJwASMZjKVpiKWvgtSYKGKKeAU2NFGCsST1jc/KZedF2g6YLoj+xATpcJZyt1R8Sy4Pnjg3Tvb0aLmgtjiut6MiQSNtWKxxOPnmLYdbCrIWq2Qm9rG93tPfTs2kL0xk0LlYfF2LOvAz+coFzOousayahB23CJtxaj9DwzRqn6DCy79qNTEwwf+RLl/k/SIms0bAy5c2cD3clxGkpPEObfhNGyb0UQocyL7yOvtjCEzhTuzBMAdQW9SDsqKIEMMRv2YSTPj/nNtxrS7iyHvvZzVGvOQsavRJxbE2/jo799Xf35lDVEMIWQJVABSkQIjQ7uP2eqtBh2+TEile8QGu38ysf+7ZpEyLWMgi7FWEnJ5WZYCl0DZLjGF3w2ZIZJ1E5j5KbZcUuEXb0ZGls3YcWaifZ+EKv5zVT7/+9SouVlYHdjJ9NdW3lhapCxch5Ng654A29q38j2hrbL2ualoup7TFQLCCAYmSFhWDRFEitGHC8GByeHeHHwNJFUgj29m0gpnePFaYp4fHP4OG/q3nrJ2gmXimQ8TiwaBaFRrFTo6+vj7NmzHDt1gtBSRG2LWOQS2y9X8X3F1WDgEiEbbGLv2bZQWnaeHCDoy8J4oT4aeM6Jb97Bb2FRW1TWl9NlREMULWFjWDp6dwb71vVoKZvSnz6DHM4hvQA0GPVzNMQ7CGfKICWiPbWk2iA8ib21Pq9fK1cpHhshGZr1snGuhpZzcY9P1YmCdt1ISNMkldCDQKJqHuFwHlV2QWhohoYsu4hslRZfMtIYI5tdyr9QKKRUzJOz9a408Q9dt3BNsl98jm4rg/1KFvUOxZ59S8u7qXSExpYUxQfupds2uHlP+wVNi9bC9GyVChooSDoB4eQgKjmJts7C6M2gbRhk5thhJvsepTYzRMWLY9iN7O3dQ3pWxxqwcIbP4lNZEcBh5GlOL5UGnsfFlNAvlHFbbW9dWk5e1GpIWGXiZogmIgj7WsyGG4l0/giauLAI0mpcgmr/DJ7yMBIRSpWjHH36OaCuChjY21EiilU7Q7SYIzQjVDLvR2mLKiInZ4ELE3Gbm5vpiEPx6b9fIgEsCmP88l4wDn2acNfKDNqOxLjh5rcSVtajwspCxWSh7970plWJlpcDXQju6dnJnuZuRku51+xNcDmYH3E0hY6sOguvLx9xfDWMz05zanIET5NElGJLqoUPbryO3//6ZzkYqTJWznFgrO91CwYmq0VGSzkKhiKRiCMsk7lSmcOHD3Pw4EHORgPU5naSkRgtifTrcgxX8frghy4YGBwc5PiRY/z+b/wO3kyJsOLiqICy4eM32jz44IP09PSQTq/xIAttBTcgHJpDNMaJvn07mi5WXdQuxrEvnCzV1QAaY2iT9QXIQKAVfZSjCMNzwUAqgn94As3WsTY00fNv7iNLlTOjA3zhga/wKw1vISki6KZR1y1wASERjUnMHW0UIi5/dOAPuHbPuxFOBJGMoK1LL0wSqLxDStOIpSJ0XtMJsaULkWnqmIv6+ctHMb1X6j1vveCt2rOfniqTna2iTJ3UrjasfasrO14I1WrIkaOTnNzcxOMvD7HtvjdjbZjFdQ6iIhDYBsE4RAtDNBp9ZLZvJNZyPetv/X0sO4372cOosSJUA8KwsDKAO5Fn2zqIlh6kOrDUelfTLKzKAHp8/dLXlwUJF5txX24Peh7LSYzzvAQ//zLSmaDsBnztGx8nDAIAChX41MNwZrTeRvjJO2EqB6XqJ6g4cHIYjg5A7iJ0c2KxGMee+BqxZRLAWm6a7iSI6hzSWbShc6ZBaNqKcw7KZzCS2zAy+wBFUO5fIFpqZgMsDlQ4v53lJkhroT2Woj22uo3yargcw6q1MOmWmZyZopQvoBZNNVzqiOPo7DQTuVlCQJewLd3KLddeR8+TD3OwlMfzfU7Mjl2ykNKrIZSSR0dP8sLUIDO1+v0MMnGsxhRD4wP8xd9+gkBJEnftJ2aZ7N+wlfVXlQ5/oPBDFwwMDAww9qXn+anIdTRtSZGMxnECl5G5KZ7PnWF6ZILGxsZVg4Hro73o4xXUzqXcAE0I9JY41rVdK/rci7FmC2L+/bSNaIzVnQW1EqLks8VuQy94YOgQMetl+GNTBEcnl2gCRPc00joqyYcVjkbm2NGwjuRtO9ALDv5LYyihYd++icRHb2Jg6CQv/H+DuNe1YDvpJZMA5b95AXViCiNUxEJJLAjQI9EVpkvzWDzeOH9N9Nl65qNMsYIEWMjXOPzKOPl8jZbWBBs2Nl0yiS0ea2CwvwpKEM2YPDnwOP9x97/E6NbwBrQlC3BVVSnVhgiCPNWZwwwNP0CqoYPG3pvo2v8WErRcuCqhPITZuGRBD6qjuBNfB31pkLNan301a15tlVG2y+lBn9/g6iRGPdKOUgGO10H/WMD7fvR9NLe0oDSTH/kXb0ca7Vi1F4gWv4pGiEKgqRAlTAJzA7Xku5HG2mZN8yI2c4FN2zIJ4KnTp3n0Lx/iHV6Z/KN/jnIrIAT+TB/Zr/wuIpokfccvYJw7ZyU93OlH8HMH0Sa+voRoqUId59RZ3BP/H5pXQSoQhbEl29GjF7/Ivxqam5uJxWI88MADV2ybRm8bybfdhBa1iLY0LPA3LnXEseo6VH0PzdARUqG5Pkop2ppbSPqThGFIrlbhTH66/rkrVAU5OjfOY2OnKXkOPclGlFJMVQpkOtqIGzalaBTdNEj3dtKeauDmnq3EYq+v2NVVXFn80AUDY2NjTAyMsivRTOumHno2rSc3nUUcpC55e2yK2taNK7/oS+6IbyX+7RGKL7t1B8CKjyw5aFELY89KwttyvJq7oWbVg4VgKIfMVsENMDW9zvZP2hibmxBN5wWK5jN557v9qKf6yPTN8kup20gECWxlIMoeyg3RGqJopkBP2YSDOcyBEt1GBhk3CI7P4b04ihY1UX6I+8wgcqqMFjUIxwpUv3BkVdMlYPXxRjfA6itQkz7+xtSSa1IsOBx8cZTJiRINjTH27usgnY7gTj9zUSS20JlC5V/k/ffuwSgfpK2jCcuusr5pAE2eL7EuXoAnT36JwxOz9NjPIZijOHMaUWsmGpwlb/QTu+bXsJM9F2xLLF/Q3enHqA1+YkWQsFrWr6S7Yu5fWyXbfy2s/rUqC0F1BGf088gwwp9/DT74G7/JlnOk2vmAxMt6uNNzS5wB/dyLqDBHpCNPdN29a+53AWaU6NalZF1ZSXAmD+g2wexQfZ+GSTA3BoDR0InyHZhfxNcKaOIbgE78gVPIygBaLYcfglaexp8JVm7nCqCnp4cTJ05cEX+AUEleKk5wuDzNK+UpqmHAzrvuZkA4rFPqVUcc58vy84t6a1Mz6XQaY9Yk8EMGz/YThiFu6COlRFMw6ZT4+5PPUQ18NI2F8cXEayD0vTIzSrZWYWdjOx/ecQuhknxcSrLlAqVQI+ioYJomm5rb+dFrb+XmDdsxjB+65eUHGj90d+u+++5jbuNu2pON0ByjHDj89X/8z+wIDdY1tXNtwwaaNq4SDOgahbCe9Xr9Qyi/ngVptl4X25kpr+r+txgXcjcUrQn01iTR9+4mzNUIR/MEQYDjOkSjNno6AqHCvm4d9l2b0WIW4USB8l88R3BsCun4CC+gNZ4hDCT6VAX/yAR6IoL0AjSp4x4YxTs4TqJW5tea7yLy3CRKb8BfNAmgig5a1MDY1Iy5rwMUq5ou1a/JeR5EOFVa4EuEKYvDtVE2TY+i/u47aE6I50vG5wLyVYlotLHb00xOOUxOca5vPYHSM0hx/kddaYqaP4g0zvVY889TG/o877kpS3f6G3SkG3DdMu+6RUP448A8Ie/8AnzvzTu4/ZpfZejoBiqqG6lZaN4ohdkXmHzhi1RkK207f+6C89DLF3TCSv3eXyjrX2ReJGtiydz/8jG50JmiNvwZ3KmHQQWL9qyhxzcQvwhW/2qVBekX6ltRPr/wTogXPoM7lVsSkCy3HrZaV6ojLrYevhRMVCDYejfpLZtXvKfpJnrifFC0WkCTDRQTYQqFTee+baStCFOnT/OlP3qIt+9+L+mtW1ds50qhp6fnikj2vjI7yvCZUXQRZ6Pdzkg5x1RQ4+tDR7F0Y80Rx1BJHh4+vlCWn1/U97eso72xGXPYxPNcTpw+xezsLNOlAl4YEkEx51WZdcpsybQtTE48MnqSa8KLJ4QuxgL5UdPY0dBBxq4/D9ubOukvzdHVu4N737cDU9d/YEWUruKHMBhIpVLYu22SySTf/dYjPPadRzn18jGua76Z9qZ27ExidYMNofGp/HP8+q5fJzOtgW2gRYy68mChhndwDKOnYYXhz2Ks5W7oPD1YrwwkLETCRjkextYWaqNwavosuzv3YtVC5GiBsOTUM/CyS/kTB3Af76uLCRkCLWoSjcWoVKvUPI8YIVZbFG3QR81VCQOJZuno1Ro3xNYT/+4Exk+vR25vRc1WUK6PaImjd6aI/tR+rB1ta5ouwdo8iMjzp9gcb+fUH32DmtlAm5XBsmOkTJMKVYaLo3wxe4Svl47iKH+hbz0yDX/8Zai5i66Z+pOF///we27mPTcXqLgRpOhhbsrAKRqsi1/P1LMVNietevCyaAEmfxAzsZ2WXb9Ek1n/cfTcGhOv/AGW/gwzfd9EEietXbPkXpm1M8zHdfPbq1aKOP53UJgIWSIs6kxO/TuUiOFbm/HtbahzrH7TGcWqNRBYm1fM/TszOk7invpjFWRp4ikipW8RVofrssbauR1bmfrUwSWw+pc+cOc0MIIptnSB6RyhNjy9IiBZTdFwiToilxcM1AI4VrCRlTWO/+VXVn05VAYvFWc4XpklHziARoMRYU+ihUghwotTILv2E9v2xpXrncfijPq61l6+1HeIV2ZHeX5qgOlakbhprzri2F/L88rYKCXPoTESp+jWOJIdZc4pk7AsonaEih/w9NFD7L7pesQt27F3rSclNJQQbG9o52d33kqo5ML4Yr8M1jjKC+PV/B00YHOm9ZL8Ha7ijYcfumDAtm1s2ybMVnD+/hCRZ87w5mozHY1xMjvXYV+z9tyxqwKcm9tJbtiK1hitkweH89S+foJwvIh7YBjz+u41S85ruRv6p6brI21xayHDVlUfrRbgK4nmS2ShPvbnvzxGJVdDeWGdC+AGEDPr29Q1ojMQVD1yXgGtVZC5vYuEqwiqXp0gd10Xhb5RvDMhIuvin5gisWgSYEER8blhjO503W9gFdOleazGg2gezPGhDz5AVfPRJyoEI1WkK1G6Rryljc3aRu7Q7+DDu5uobsqws+c48fJXkUYzP/tz8VUXV6UU48eeoE17CEd1UTr1LsRAhbBYJTmyhcZJhcsI2oYWItfejogmFkreYek4TR2bsTr3I6XEsizU3B6q8hijY4M0Tn+Bamyp21+04pOIQWBtJNJzH7NTI/zNX/0ava0+bQ1g6jBXAimhXIOqVyfkffYxmM7XtyFE/f35/z8/9/8N/vif/gM1r/7vX3mvzluua0LggpJgRQENI9qL2XQzQWWQoDJ4yUJA826KNS/GZx//Nm/90RvRxPSSuX1v9mk8GeGP/+zjjJx5hrmpM9ywpcb6dp2JfJS7fnwrHVvfRqbx0kier6Xvbq5vJ3brHkTMJpjJA2C0ZghLNapPvEIsFltVM+GNhuUZ9S3tG6kFHnNOhRO5ScbKeW7v2sqbOzavGHE8U51jVveIGDpKKZwwYKZWZqycZ09TF63xFKOaou2dt1I9O4bd1oiRSmGaFkkrwu7GroUMfn58cdIr13VBLhGvl7/DVbyx8EMXDCzAl+zYsIVWErz07PPkCwWOnDhGZ/gW1lYVr48WGhubqH7jBP4LI8h8jWBgDlXx8A2B8+DxFb31eSx3LZxX+9M0DfvN67Fu6MF7YRgtYuKdmIKxGaKagSj5IM+V4PMumsijRU20tjiogJPeNGN7Ja0dHXR/fg7Ll8Q1i4mggLdOp+WdO6l9/QR6b4bY+/dReyYg/09VtFAiS+6K6YjqmRmcx88SzpTRFEtMl16N9wD1oKftXNATlFxe+MoxjJfGiM6WqbYmsRyf+FSF9r4qTlsrGzIdBGYD4AEBqDnQpzESuSUZbLtxHDkRgl4C/f+iNUmqlQZOuiPYXR9GTK5HZdejd+/DumHdQsm7Nvo5KuPf5uR4A4OjOd5x9zUUJ55nbnqKmqejIVf0/8NSlhdPQSXzYaKdN1AY+EuSEZ8br91MwiygIQnMXqRI4dvb0MNp3ikd/sWv3b6Q9S/H4rn/n/i3P4PSk0ye/CLlkx9DSg3dsNHj61GhW3cjdCZxxr6EptefyEsVAppvAbiHXuGJw1BLvgczc2ihBSDb7qUw9DVKuWG2mI9y51tqRKwIpmECOr2qhYbwWSy5H7i0YOC19N2/PnuWw+VpNkQzvLNpMyGSB2fOMOKWuPFnf5kf23r9ihL+a/EjuRAu1sZ6NSzPqOdHHGuBz2dOH6AxEuf9m/ezrWHpGKBmmWT9KiUZUAsFCo2N6WZ8GfLK7CgDxSy39G7j0cFj5JrAMnUiukE8HicdidIWT6+awTvSRcQuTkxrMV4Pf4ereOPhhzYYEC1xUu+/Fn+qG7O5gDwyhzle5dBffI3WX3wL27ZvX/O7YbaC+63ThMP5eqStQDTHwdBX760v++4Sc5xzC6113Tr0jmS95F6sWySjCWzNBE1DpCKQsEBTiO400bdtx58qUvyTp2gaCDC/Nkstnfv/s/efAZalZ3kufL0r7hwr5855erJmRhMkjSISCCRhQBYGA8YkY8zh4HAQwcZgONifP4ONAJMxAiSUsyZqcurpnEPltHNc+V3nx+6q6eqqjtMjzUh1/ZrprpV27V7v8z7hvlEXVLRQQeoCc08/OT1B2LIRmoJ/okD7z54nNj1PTo0RKgJ1LeVEGSJCCFtup7fhAs3+y/U9LAVBFwY9Wtxgw21DBLM1lMAnpykoVQthu6QbKuLYAr41BaOrd/QXK8+lIwu0wilwxyEFYSIgGki6glmUO/8J6uncinKGECrCzCHtBYJ2gaC5SDhd4LGPC6Q9R6nm0jV8N4mktar+37L3MVP8g2WJYOjYC5uJfkwtitBSJLvvRdHTREd+EGf+67iFR9ESTRLbt+NVX141929NtvGNNHp2J/Etb0YoGoetFzh6nE4DnZ4k9JpI6RD6NqFbQGomevpmFD15zUJAsLIEwMUlgDDA8lQa9TrSLZGIRIgmcqhmFjU2RHdmB5FoBjOWu6ZrLnE9dfe25/L1gwXyus+DG2/m/tFO4FM/G+dL44cR2ST9Qyuzd6/Gj+RKXK2N9VpcakfdG0vRE0uSM+OkzdUlGBGPYMuApnSIaDqb0938yI67eXruDGdrBRquzcZcL3v7Rnhi9hRVxyKhm2TMGPOtOlkztuYO3g+55szAsWPHsAOferHEvNPkpeAQ+mxnhPTFyiSLtRKRtsfZo8eZvIqA4EaOa65zY/mODAbCMMT1PVK7h8jcNEL+jk184T98jOajEzQPnKJ+uOeywQCeROmOd3T+lY5PgNoV78jhLjZX1dYvPvaS5jgXNOQRSIJ8hAmvxOjoHmJ6jGChSVhso41k0Ld2o23KU//bfSR9jYSv4bckplQIFIkbVRhrxkl+dRqv5oGAsGbjvjSNUW8SVyMgQ7yJCs0/epYwDDuWyrN1wjBEv30Q4/YR0BXcpyeWZZBFNrpm38PFQdCFQU+iZuMdnIOIhvAkgeOj9CXRd/Yi4gZyViUsrN7RX9zEJtQoipZEiQ6jGBmkW8UpniJuCjTrDIGiIKMeItZPKN3zJj5HQWhIVLz2Al5zgqOnilRbCuPFDP/h3e8k6T+8qklQSJU7toHmnkH6WyH0iZughG205Fb03B3Et/wbhKIhhIJ3wSIr/eaac/8X+hEQCIK5Gtpcm5QaRfgh0qmgGIlOIIYk9JsINY6eu5Po8PcDa48lXoolISIh2+gaqN5KgyRFTyO7/ymLi8PsG3+RzZsz9A/dTXznr6LFhpd7Z67lmq+WK9Wnl8R5LqxPvyo/ksuwNDp5tTbWF3O9O2qhKrgywA494rqx3LSXjyTImNFOuaBV5d/veDf3D25dnjYwVJ1Pnn6JmmOteT0h6DiYXgUXl3liD9yMuWOUL04v0npkH0JViD94G1pfHvvAaf7rM0eu+nN5o5R5vtP4jgsGHMeh9vRpHn3paTa/eS97b7uF+WPjaKVOo1IklSCeufyYktIdJ/5DtxD6kmCh0TG4OV1crvuvVVu/8NhLmeMs+Q0sNeTNPH+IhYcayFwEXLXT6d8VRx3JLuvwR4dziGS80ysWUcEOEKbGtm1dqL6JsENEdwJtdx/+8QJh2yGY9WmfdRBBiFxo4KdMgtk6YdkCRaAkTeRcE/epc+g7e9F39BKc1+yP3r8RfWs3QEe1r9DCefwMwUID7+QFQdAFQY+sWYQyRHgSkYqgbcyjbcwT/cAe1HRkVYPipZrYtNQOtORO1PgGEjv+HUHFp/bCv0UrVomoZ3DVacQWD7frHMHRLywvwHr2FhI9b6P7zs3cfpGgj7PwMO3xb6zq+o81krznTRCrfZLmsf1EG/vZOACKX8art0AxcOa/ipG7nTCwVroQ6ukr+hE4j3cyLGZjkd5oBpoaQu1CxE3CaK0jNRxYuOXnkfYcfuscRnoPRs9brqpn4EIhonjV4hc+CLH6J/BDb4VBkh8aNPweJgsmpXqImK1RPPJz2J5K3R/gwff/a7LdGzHNyxXPbhyvpj59vX4krxXX65gYBrITQMgATVGXf2ZJSEgVCrbfCYouFFJqe+5lr5dUtBXqh5fj4jLPqXaZh8rnaAcefT/9U8gwZMFtkdIM3vmRjYxFM1f9ubya0ss6rx3fccFAvVSl9tAxxDdOcvqhs8zEvorXtIjVPOyYQc8DOxjasumy51hS3AtKLZyHTxPM1vGnqghNxbx3DP2mS9dXL1bru9jdUIkbyHIbJRPFG4hRkxai7SErbmfxLbexPnsE96nxzv+X2mg7+9D3DqBko9hfPkYwUyd0JZEP7kGNGSh9SUQmgpysEvqSmecPcurpx9iijqIYGtHv2YX34nRHVhk6wjumhiw0sR87i5KLEgYhoe0RVizcFybxDs9DECLDsGOAZHmofYXl8coLg56g3ML+8gmC6RrqSBYR1ztOhw+dxHzXNgLl4Bo7+pUWv698gK+M+tHWUUQZQ1UQvo8QSVB8pLdA2C6uWIAvJem71GR38Zy97p4jf35CStqzKEEJTQUIIWjjlV/Arx1CMXvQEpsJ3CqTU3PMHnIZ/9QhTp88BF6ZqCH5v37xX5Pouwv9Qj+C85MlMpLg1Ik4afV7ico0YWwRuekJkG5nGkII/IZFcPZjOJEBUloCs+eBK3/RL5jbV/0iQ92gyBZqfNsKgyTf93EcB6FAs9FEzB1mcX6RIPDwA0H1hIam/AzmwGtjWHQx30716et1TAxbNoai4PsSXwbLQVHJ7ggu6aqKrqqrgqIrXa/PSFx1ZgBWlnn2SknuAgVCIWBPtPe67ZfXef3xHRcMtKw2Fa/F7OwsqiNBhrihj5qJ4m9I895/9k4S+cwlj5/9+gHU2RZBVwSl7pI4MYk+3kBp2oQxjUq1iHXsKEFldS1QP1lFJnSCrkin1t5wiTy3SLLdJmV0IfSVhkbxepmk0hHzESkDEdEgDPGPL8JYrjMm2Jck8tZNRB7cgojqyHIb+3NHwAvQxnJoPYmOSmAjijqQAl3Fn4lRC86rBCoCfUcv2lgW/3QJ+0vHOo2DhkYwXSWo2agJs9OvICXWJw/inSoQTFVBUyCqIzQVoakEZQvv0Hxnd39B0KPTDW0f6/NHEHEDdSCF8+gZ7EILf66Ml/oGbLFX7egvtvj1a4eRXo1QOkihIb0GytBJfFnA68+SWvghguPjqGqMyLs2omjxK0r6XmrOnsIkCxVoJb+XkY0bmGt+nscOPMf37vnnpBIz+M2TSHuWoH0Oz/Nois3sO1YlbZyjV0i6NwXouk4kGgXrLIrxXSvuY2my5Oxsmg//xkc58JUt5M7FCU5shMHjoJ+k04xiokT6EWocZBu/fuSqgoEL5/Yn7Wf5Pw99jrd8+INs2PruVZ+HEAJVTzLflMy4W1Cjt1GeO0BGnWDh3ONYsoeugV+94jVvBNe7m349Mt+uYygqEsnh8uxVOyaGrkdOj4Fbo2y3qdgtSnaTU9UFZBgS1XQ0oa4ZFF3OoXHjdeoMwOvD32Gd15bvuGBgbNMGRv/TMLf+7Pdc0iPgUhhC5fHf+zhpNUozcJBIerU03WoCTVGpBxbKEcHzfzTOn1aeWnXsz+fftnxsgCQidHq1FKgK73/nz5M0VMJALvcNKFWHhBIBRWDs6CPc3I1/tojSnSTy3h24L0yibe3GuGeMUBV4R+fxjy0QegGhExBMlKDl0v7EAQhClJ4E6AqJ01PsiQx0GggHUigxA+flGZynJ/BPl5ANp9McaHmEQsBgCn00B75EZKJoSk+n+bHVMY5R87HOjt328E4VOoHOeYli98h8Z3c7USaUIfidaYQwkAg/QDY9SMRAcdbc0S/tYEPp4tUOEjolRHQYFK1jXKM5KLpH0B0j0ruV9lcKBNUawUyNwCvjOuOESp3QKKIP7lkhoLPWqN5SiSKk8z2Q+gBG/i6stMFH//y3ePfPvI/UTdsI2hO0x/8Kr/IilpvhpZk9fPyLH+dD93k0HZNYso+enh4S+V7UaP+qxr+lJkvmz/KWHRqR1pdxTUk4pBGq0x3xoRCUSA/RjT+BtObwq/sJ2hOEfvuqhICWhIi8SIvnj4Nv7lgVCHR3d7N7927a7V8kkYiRyeQwTZPPfPofqRY/we2GQZypq77mq+V6d9NXQ9CqEDQKOJV5Xnj+WT7/6LP83Vef4Vd/9Ve555572Lt37w15hgt1/BfbDeqORdv3aLoOvbHUVTkmJgotFD2gYFf54xceZsBMsuC2cH2HEKgVS2s27QWhZMRWOdqyOFQ5w5JGw0iYoj09+6qf7Vr9HdZ54/AdFwzAlT0CLoUfSr77hz7IgEghbB8hIdQEMq7jjSVBgcjzi7y1N8bPfs9/I4xe8PHKkNhXp9AWrRXHFuw6v/OpP+bNAwrDvCLkYz9yGjvn8om/eYm3vPVfEr15F85zE8jFJtpQGn1nD60/egbn8bNYf7sflI61sVxsdoR32i6t//0CxHT8E4ud5sQTCiFgtC2iQkd2RYi8aysICKZrBLNVQjdAKAJ0hdBVUOIGkbduIfKOLdB0OwGFqeEfnqP9mSMEp4sgw07To6aAob5i1RzV8V6eIWyfnzxQBCBQDAVtQx7jzWPom/LYT0fwj5+5/I5eqGjJHSAMkBZBqYFi9OIrTQrVabTZOeTsPiLBUVTvWZpPSZAgwhCMGiJaITg2hJ/Ld9wlgVBJ4pq78M1tBFo/odBR/QWiza/RrlWQ7SjahI8rptHP1RlQMhCGnUU2tRMjfxeyPUmrKTh+egopJbquYyhZBu/8T2zfeQtjGzZgGMaaTXhBqUXqG1/ml9/Wj1E+TKCE0OuDKHVKBAikXcY6+78hDAgDC6FGcQqPY3Tff9V6A5cjn8+Tz+fZvXs3Ukp838d1XV5++WXOFVNEYzFMQ31V4kPXyuV2t5faTV8J++wLNPZ9BqtaoF0pUD1+DDFl4bou6XSaSOTaR+4uxcU6/oOJDCeqC2hC4b6Bzdw/uOWSO+qlxr2P/uhPk/rwg0R2jjLjnMWbKyMbbdREDDSVR67QtKdkEmj5NBDiF6rIemfSIhqNMjc3x759+674HOu1/e8sviODgetFEpL48K2M9W/GeX4SJaKjDqZQBtOgCJyvnsDNeGgjXSTuuG2VV0G4Z+8qtb5G4Ryf+YsDfNS8cAQM/NNFzNM17oltovHQccZfWEStOKAKrGgU5/QxMqGD1rYQ1U4AINwAEUpCXUUGLs7ZBYQrEXaATOkEORMRCuqhz1OtM3S/7W1E7tmA8+Q5/JOFjqVxEBCGHe0DdAVUhbDSRutJQk8nyOC84mEwUSGoWIiIRtjuBAr61h68lteRKC40CS0fqVSgZx4RNwh7CoSpCPpoBv22KnrvVsLmJuTnbUQhix67a21xowvS3kGriPXSfsKmgqH1kmlNUnjiKC8/8vekhsr0q6cJWhEaLYUASbbLoW+oTXlygRcXTjLtdUaj/ACyHX8l6lZHIChmQm8O0l6WLeU7yD1Zof3CARI8xy/t2kvk6XPIHduRcmG5ryGaGmb7rpsZPzRCOtUgKlLYZ/8HJwu9TB3ey33v+RnM+GpL2dCxUaMH6R1sIVBA8UEEdMwoFFAiIEKkPQey49vgt85gz30JNT561XoDV4NbfIqpuRpHTtf4/Be+QmXhGHeM1enp3km8Z+PKvo3XkKBVYavb5N1Bm2PVaWbrC9Qz/Ve1m74UYRjites4pWlaLZtyvc3C7DQL8y6eFyGVSl1XMHApbYMvFU9z+rxOwpuiKQIkC/Y8U06Vc3KcDXWYusx5H3roIUzT5FS7zBeKp6h4NvlbosRUnZrvrGjam5ub40Mf+hC2vbIxUFabuNXVtpOWZfG+973vqp7v1YxVrvPGYz0YuFaMjheBnG/g122Us6Vlgx652EREdfSb1jYtWisjIfetkbo7P2IYjUQYiuR46QuP44Y+1cDisDPDV//kKFbokVIi3BQZZEjPEhU6QggG1DRpLUo5aKOhcEt0hGE9S3mxxd9Un+Oks4Ad+pQUi70bfgL72CEiR+Yxa1VkWkPRIuBKtEULtewgWjaN/Wc59VIUpe6R/MTpzj36IfpMvfPfnouiVRC5CfwgjfaOBKLsEDYdQiuKtOJ48iyoAWHLRSZM/HSEYCEHfopglk4wY6irXA4vxK/uR+gZtOwetKiCVzuNaRTYPDKGnx5ha/q7CbdOoHUbSHpp5n8MGY1jlp8lMfU3JIc1esf+Gc6tQ+fPGGC2HkGEAQIfCEAYBEoaMT5ELH4Tyb4e0AOEf4xb758lbv819aeeRHQry30Nmd63cmvvZs7t30Y2dxbT1JiePo3nnYXmQZqnFbSt/3KFHwGA0pPCG+3lua9ZvHNsB7rrEzY8wkxwPsuSRRGCMOyMGYJAjfSiRgeuX6J4DRy7yYHH/gd2Y5aw4fPu3SGx2xRyiQGMaB6j603LfRtrcaNmx5WFI2hnHiOi+GzRBEMyoD60h2Dbm15VfbpQKDBZdPjCc0VePn6OLfIcd23uodsKYKp+Xee8lLaBMHQS770LrSeL9exRfvdA599L5I7tRG/bxldmi/zfX3zmso18S4vw3qGbyU0PrGjaG4kOrmja27dvH7Ztv+7GKtd54/FtGwzcaHGLFee7hEGP0p1A39GDeful/QkuiS8JZmrLyn76nj66dvTw/reNUitVCA2VIG/yfSmDj16mr0GpOChVB5nUEX5I7JEZzANFekyV/3Df2zizW+P7v//7sdoW7/vu7wagR0uSUiK4YcAHUreQ1+LsjQwxpucJCfnyF5/kP/35T5JXY/yP/h8kpUYIQzAUFUt6WNKlZ2uBWOIIHHqRmHd+0VNAyWTQx24hWNQRWh/+wSay6BMaGuBi1U7DXPyyQRSsHJUTehpuFoh6BaVVJ8oYkdyHMDe+Ey94Fmv8MEqklx4eRYg4Mm1jFx2ktkAq8fcodrIjCGTkEN1dRPrfi2Lkl93+1NgY4c0mYcPplEWiKnNf/TT1U8+haGW8coCe7V/uazD7305GaPzsv/olgtLjqKnd7Ao1vv75P6Uw9Th26QCtuUdIbfynK39Xmk5z6MP87mf/F3d/5CfIN0ycJ6YI9Eeh5zTgE/pVUKMosTGE0NFz9xDf/K9Q9BsXDHi+ZP+h08SUIobmMzDQT767j66+rUT67lvu27gUN8rq985eeP8mCIXGD/zQh4mpIblknkzP6Ks6r+u6NIlxvJ0ktek29sbSjOQ1BqQD+64vGLiUtkHRbfPpwgmagcs7P/wz7Ep0xnAPNBb4evksOT3KB/7D75LR185EXLwIX23T3uttrHKdNx7fdsHAa+FFvkQ0GqWrq2uVQY/bsqi1mvzn3/ltzvyvM9QWitihz8hNW9j9trv46K9+lGj08h3Q5sESrYdrq5T9unb2MvSB+y/rhnghS2I/wSkLHJ/A0pE9GZS4Qff2TbT7XSzLWvUS009WwfKJ7C+i1j20qSZq1UUaCh9874d4x4f/PQCJT55FK9qIltvJHDiSoDtCdfQQrngJv26g6KMoS4u6YoLaeXahJ4koH8KrzBGE5zqjifoUYthAG80gNk4g/d61a+FrWdxGTfTMjhWjg36nzwy/eg451SAMXEIaSGUBzAAMnTCwOs2HhBjxTejpPaixi3Y/3SyrKNLyscX3sP/xF9mpv4XI2BYim3at6mtIDb6FcOC+5cmESec4s7PP8dZWA6XwEsmR71tuwnNfnkHJRAl9g3OzgsDZilIwUJtRVB9kSu1MKwR2x7jILSFDH69+BOks3tBgIJFI8RMf/cYqC+QrTWIscaN2paJZYOrAk/xfv/qbfI+IEpPXt1BfjJQSKSXxeJw777yTO5QMSbdAr90Cjr+qc1+8CE82ynQdLhHzPXZt38Gt3Z3vlTd/jv0n6+TMODv37L6mJrz1pr11vhl82wUDN9KLfImlaP0Tn/jEcsrswpT/kZdf5tynn2DPfJw3xW/F2KKj6jp132bisUlmf3iKvtFB4vHLeNLbAaGvXFHZ74p4kqDS7jTuOX4nHampqJu7OvoHlXFg5UssdH0aX38CZ988uBKkJAzVzu5dV0lmcmy64zaEEIR7O82NAP7ZEu6L06hDabz0LNUihERIbPsllAt2L27hMc5fiPCWRwjHppCNsyhKglCLQFTHNzXkYgYl2btmLXwti9u1Fqwl3QAlsRn3yDSBO0EQfx4iIIijxW/GHL4Pr3YI6ZZAMfBb47iVlwnak0tnQUtuIWwJnEfPIupjxKcqpMuj+OYeoje/HS27UqI3DMMVdVvf9/GDkIZlYNk2pt1absK7cHw02azwi11vJ/6lSTzRyZCIEQ8lsQmRvQW3+CShUySwZwkDm6B+CGvyb4lt+PFVZYdXw1oWyFfLjdyVholuTld/84aca4mhoSEGBga46667UFWV+hd/m/b0HL4fXPnga+TbSSdhne8svu2CAbhxXuQX09+/9sv32LFjnHxuH12OxO+OkuntIW5E0U7PYc/WqTxzimRX5rLBgLsjS3zD1lWOhmtZB18OpTtO5O1bCC0PWWoRTNcJm05HYfBS1QVVQcR0RADS9jouhbqKMFWEoaPETNxnJlD7Uyj5GN7JArLQRM43kIUmoeOjD1oEqkRmFdrj/2NZ1tfI3rpspSutKSQKMpwlVCYJI/3oubs6uvtwRe39tRas0AtWlFeEOUo0+1MofWnMaBXpeVjTf441+wlCt0y4qCP7yoReDb95lqB5iqB5EukU8VvnAAmKgZbcivBjBKqHZr8LpRUhJCRURUc6+gIcx6FarfKZv/p/cAKTdpDjxX0HcerjvHmrRz6bIZ4ffaUJ74Iyk1Ky2W72os21oTeGuiGOjFeR0oXzwYmIjSGkQ+hVQGj4tcMrPBvWuTyKoqAoCpp2/nUnwHM9PK8zGhuJRKj4NoWFiVc9P/961EkIw5BGo8GnHvoKX3n2CR579FF69Th7Nm7hj/7ojy77XlrnO4dvy2Dgm029XudFf4pf/rVfoGv7CNFskj/8nf9Or6zTa8TpsUxSqcun+ZbcEC92NIS1rYMvhVAVjNuGOl4JvsR+5DTW54/gz9ZwHjoFt6z8lS+5ECpdcawdaQr1Cs89+yz5tsZwkCIgZMY+wcipEbYPb0JNRfAPzyPLFrLpnL8/HZnUWajX6UnX8OvHlmV9vcoL6OmbVqj82XNfJmjPEHp1tMxeYqOvlHSuVQf/SsZJWkQnSOzAaUQIapLAm8GvSqQzS+gsECJB6CjRfoQzj1DjCDWOFt+IUFOousS843Zm9peZ/UwNbbaF88RZ1NFblzUpNE1D1yCvHUEGJartgLdulnRlowx292DEuoh0373chHdhmWn+rx4jCEMgJAwk3lQdKRqInhrKgI4SHUBRowhVR9qLCC1GGHorPBvWuUbCTh+B63oIReGwV2FxqkJbCREC4prJSDJHvNlGSV3b5/uKTkKB/fPjvPTpL/MPn/gEsQdvJbd1jHeMbL9unYTrxXYcfvezf8sTUyeYUxp0veduZMPm1GKD/fv3s3nzZnp7r31KY51vL9aDgRvAHXfcgWmabHzLLUycOMMzTz3N8ZcPMyw20pfpwrRDwoMLeFFjld3vhVzK0fBy8sYXslSHVvuTqKNZZMVCSRgo6Qhhw0VWLYS98uXmPHkO56lzePtmELU2Sd/hplaOGAYpxaAtPQ4tzOA4DlsGxhCLTZRsFJEw0QwVdSiD+eYx5ks1Hv5Yhc3v/y4GN+xa4TyoJTaT2P5vl2vpIeCWnkJ6dazxP0Pac+iZWzGytyKuokZ9IUuyvkvlFZ8DuKdtvLkBRFZDvUnFOvdZQqeJcHNovAOzdwh7/tMgzkHgIv068Y0/QSg91NgGEjv+7YoMhRAKrruPfVZnp74kHS3OB2mqqmJGYrRtBa9Rx7er5LNp+nu66R+7ifjQe4h037vivpfKTEHWpBQ08QcTaMN5QjfAKw4S1vrQu7ahb+shDJq4xWcIFB2UCKG0V3g2XC2vaVPtRTSbTX7sx36M48ePM10r0dIFO3ft5P7dt/JffuXXrthDcz2UPIsXL7O7D2UAYdgp6Vg2tmWhDeZ4oTKFGabZ3jvEuXqRlwtThHOQD3Xib7+dffU5blkat70K+qWOU6nzhcNHqE/NsrijG0M4iHKFxtQCwYYAVf3mBARhGPLywgRfPnOAUrNOa3qBu950F1NmhaLv8tX9zxOLxdaDgXXWg4EbwW233cZtt91GUGox/amTaAeOc+dMih35HD3RFOJcDXvxEEJXV9n9ruAyjoay7eIfXySYriEbDkpMRx3Not08gKIoy3Vo70wRNRtDpExCTyJnauCHKOkIIqoT6it33mHLI1hogqkhoypqIWBQJtE571gH3NTKMFOrE+RMkndvRijKKtVGZ99t/M/Pwo/+yv2Yvbeuch6k/31wfhfbmak3IbCQdgGv9Cx+/TBe5QViY//8mmrhS7K+Sk+CgAUaL30MPzxJ2FTxXjJRzgoC7QT4KorcgjK8gN8sI9QIipFHugWkvUB78u8IGicIpUfr2G8TFk203E1ENt6DEu9BqTkM652R0LVGIOPxJB/5v792zU147o4sf1Z5mre+698R37IDp1DGeOEUqlXAmnsBPz4MQkU6i50mSqF2zDIv9my4DN+MptqLkVIyMzeLv6mP3pHdGPk0gZQ87Zb4y6e/zvftftMNW4CCUGLetJHPF06iODMIAT3R1IoRPK80Sf2pvyH0HaRVw5OSnGjykzsDus49gn3HD3BP/ybm23VU0an5E4ZoXSmerE6ROfMyG1L5qyohRGsOxniBwy++gDKYRxntIQAKzRqfO/4CQ2OjvH1s52um5z/fri9PH2RCnW+cPsJMtUiqFfCWzEZ+5Qd/it957NMciIxzuDjDfVfZX3XhedeliL/9WA8GbiSepCedQxnajDtXo91qs2D7+PU0+d5BsonkZZsCL+do6JdbeI+fJbR8Ql+CKlASBvqefpL/+j5E0kTEDORsA/90EaGoCE2ApiJ0BXUghX5TP2jVFdfUb+nH3TeNyERIqF0EJ4oEJxbBC0BTqUobIVVG1Sz2cxO09w6Qfcsr9s6hFxAsNtHP1bnDHEM/UyforaEMpJadB/3WOG71AHpmD0IxkF61IzkcG0FLbkfL3IJffRm/fuSaa+FLsr6y7eIvHMZvHSNMzkPMJ9QEgVABHyG6EXkTGTuJbBooehphdoNb6Ij6CAXpFpFuGdk4iVxMIs49hfXSV9Ht7yI+bnNzZBhMFf2mftpeQK3QwnF8NE0hmTTJZK+9CU9mTZSRLZw40WJu6jSi3mJrQxBVHLRgCrl4GkWLIrQ4Qs8jQokwMis8G66E0ZXhH555hFqtRq+RIHuJsbZrYa2m2uVnkhLHcZgO2sS2bCLd08X2niGmpqeYdMt87dxh+uNp3r9WMCCDJYFIAOpOm9OzZxCKYCTdveYCdNaqEtmziZJncXNicFmx8OHp4/TEUuzI9SGdFkF9gaBVQUpJEAqSis1gLEBz2wxGEpytFWl5LlvSPbjSJ2YFoMDRVpHaiecYS+WXg4zE+T6YtfBdl3zRxjs5TaK/C9OH7lCnuVDm5XKNh6aOMpTOsyO3Wojq1XChDPKSLkFc0RlvFQiDkG6pc/fttzGc62YsluWIPoMdA3mFmGSt814cbK3zxmc9GLhKNBTUooV3ZP58o5q6KuWvdMdJfehmnPkBYsMuzvOLKCWPo5VJum8f4x133XHZpsDLOhpWrE46PBNB0dXOtEGphfPMBNrGPPEfvo3YD92MbNgE4xVCq6NYp6TMjv7Bzt6O/sGx6oprqn0ptNEs3rkSNF3UhEnYkwQvILy1n48+8t+4p97N/fpG9IaPMtlYcfxSzT5Re5yf3r6d2GOnaZ51UHeAHDtAGPqEThFr4q9x5rIIoSL9Jup5q9/oyIcxuu6lffZPl7MI11oLXyqvePIEYSyC8HsRqoGSNBGGCXoCNTWAiEXxq4cg9JFuBWlNQeAg9Cyk7iYIM0jfQoQ+CllU6RGEJ6GRRWnuZsGvY+/Jc9LQmH7kDO22h+8FqKogGjMYGsmwa3cv+mWEk9ZiQ2aMoWfnyEWrqGFI2L6fUraK1vcMec0iHlUQahShp1DMrhWeDZf9XNZ6iauSe3q6bthLfK2m2vHxcQ4dOkTQl6FnbJj33XEvP7r9bk6cPsWfHnmS46VZ9s2N835WGi55pUn0F/+Sn7kJcBrMhw2mjj9J88jjeEaUR275Pu4c2b3q3k+1yyjJGEORFP9i170EoeTPjz7NqWqBI+UZduT60PMjJO/8fsLzTn9ZYNhq8blzB6gEPjs2bOfZxUkUIdiW6eV0bZGqX0Ek47hhgCIEvbEU080KD08f5+YrmP6EYYiaS5JJpdndNcDb4kM8dO5hnm9UmaqW2Dd3jmwkdkN32hfLIIdhyNHSLFN2DXSVnmSGXbt2oaoqaSOKLhRCXeAolw5sLnXei4Otdd74rAcDV8lbE9uIf3mSdryxZqOaiOi4vkdq9zCZm0bZ8LZbeOJ3/hb/K6eoTy4SnphE7rl0U6B+soqfLaP2d/RxZcUimK0tK/PFvv8m5IOb0bZ1o3QlkBMVar/5dYLxCu7L08R/+DaUmEHyp+9ZJXl8ORMmoSpE3rkV/y9eBMuHuIE2kkEdTOHeN0TtrwsINY9iKCi6ip5aWesNWx7SdxD9x+i+5wja1ihuaBBOu6hagNrTA0YXQiiv6ANcZES0ZA4E4rpq4cvlFc8ljLYJjRqK2IiSziMSBmEY4LdeQLhJpD2PUBMgFBTFhPgG6nI7Z2ffQ836AbqDz5DVXsSP9pBI9ZI1DqJtsGlv7uJjf/INvu/u/0i5ZFOr2SQSBomkQeBLqjUb63iBZNJg0+bVafPL0ajMkY0pDGaiaDIkiBvMyTxnq7tpDcAdO1LXPPsP37qXeBAEWIFH96YRYtEoe3tG6E6mqSbSDJtJjsmQRb+NJ4MVzXTSaSHaZYaS0GouUlIlwq/RpxtYqsqR+uKqe297LiWvDWHIaCRFxux8b7ZkejlVLTDRKHeuY8aJbl3Zt1FslJm3XNq+hxOGtH0XU9VIm1FURaHsWSi6TlzRGUnk2JrpZbHdYLJRJiX8Sz6/EIJAFSjZJOl0ivff9QAP9G5i6tQZXtj/BFa7zcOTxzjbKlOyWyt22pfLOFyJA4VpSlaLnbk+fmTH3QSh5D898RnqVhsR0RGtV86tCYEAQgHyCtdc67wXB1vrvPFZDwaukrgwEEF4SR0ATwZ88cmvYwxlyfZ0cfipF/EePk1fAfZ2j5A4qdP+m31rNgUaQu2IDp3Zh5Iw15Q3NvZ0dmBBqYVcaBCUWq8EFslX0r7XZcIkRMceOaJx3qwP72QReWCW3+39AMIO8AOfWreKGDJXLNPGm4bRduRZOP019h+cZvuGm6BqEdYkNAYwb/oujJ63EjoLy7V0v3kKNbENPbsXCPGbZ5d1/q+lFr7EUnnFqZYIZhIEjQqBPQ2FNlp8E1pkAN+rQegTBhagoOVuQzF70XN3cuDwFop1n0TCQFf6UD2VlutR86NE4xpmTwQ/E6UYNDl2/DiJ2BjxBGTzPmZEwXUkpXKL+ZLPs09XqdVX7/AUv4TmTaz689mJSQ5MP4b23t8gu3X7cnko9tI02SDE2r4DPbf1srv4wF7Ab5xY9ecTE0eptw225Ee/qS9xKSUt6ZPr6yUZiy+P0nmeh+5KNEXFI6TmWHRFX/ld6/kR/K1v5xOnPk7qX97Louozlsxx1+gupKpxvO1wql5ece9V18KWAaHvk1TN5XPlI3F0RaHtuauus8SFmgC27yGlRBUKCHACH1v657064ER1ASvwKFoNClYTT2mDuvbkS3d3N6PbthBZOIwhOrvw/v5+Nm3axMD4URbrFeYCi0boMZzMkTIizLSuLuNwKezAZ65dQxGCHdn+FUHRkwvnIGriNTrlG9u2qdbr2I5Df1cfXblLB5eXO++KYOubPCGxzo1nPRi4Sp62ztJ65zAb3nLnKh0A99gCbqmB+ZUJmvIk9VBi1FtkbRXFhMRgnoyRQNasFU2BS/ihRMZ1CLmsvLF3ukD9Pz9C2HbBCzqNhH1JzLdveVXPdnGvgv21k3jHFgltj7yZwgraVHyHQrWMVyzQS+d6oReAG4At8ebexsuPfYoPvP3d6C1BMO8QGbqT6ND53ZiR6RwjXZzFh/Eq+3Dmv7RcNljS+ddzdyLd0pqL21qWw/BKecWbDqBsEbptCGxCP4K05hFalMTu3yKo7cea/FuEkUMoEaRbJnRK9HWNMJiZoKdLR2vPY1cj+FWDoDlJq+WQNfPk08OXbcLbe9N7GB7cTak0yTPP//2qv3/zbvjAfR1TpAuptWDTcITMTaPoIx3p2spUDfeZCYyWSyZlXjGd79ePYE38H8LQW/6zQEoStSZZ5c3syN71TX2Jj4+Ps2//y/Tu6COWSKKf75z/yle+wl99+R+586c/TD7XhR+u1OdXzDhy4GZequjcmx3FjhnctfFmekY7IlRbzh7gVL284t59GXR2tjJcIeajKyqqoiDDcNV1lrhQE6DlucuBwWS9zFyrhhX4CEOnJV0M32UglkYXCtPNKlNuHX3T2lM+uVyOgeEhFFXFc1yKCwvUBmssLi5SKhSI6wI7sInZLXpiSWRoQihYaNc5KzsZhytNRlxMM3Bpy1cyG0tszPcS1Q2EodHUPKrVKuVymbl6GdtzGejqYUP/pZ0gL3Xeqwm21nljsR4MXCWLfgN/IN7ZtV+sA5A0CS2bcqmMU2vhWQ5u6FNLGFgDJm/+uQfIduVQ28GKpkB1tKPaJglpPzhIvH/zZdP7oeUT2h5hyyF0JSAQmoJQXp2i2cW9CkHNwh8vo0RUmrkMcw8dImOrxM82cb5xlvBdd3cmCM73C8iSRerwDD8tP0jsr1SCbBL95kHMvWu46q0lK3xR2cAtPrFqcQNQ9AwxM79CofDCccqgPY+063Be+U1qc4T1WfzWCbTYMEb+HhSzC8IA6ZbPNyx+gz6zl1C6yIaNI10UJUJUOEjhEYQZ9OwdjPRsvKSyZb3mceZkG8sKGByJMDr2y6t+xrBeIFb7B0AQKq8EM6IW8CMffpCBXIowkNQmKszum0bxAiIpk9Gt3Vf1OwyljWJ0o5wPuizXoa7MgBb/pr/EgyAgcD1UpWOZbbkOn//85zl37hypTAYjEiFimpdU4hPxCLYMrmoB0hQVRQhQBGfGz7Ev3rHmPdpYoFAuEugtjh46zOwlmia9Uo1Ss8yL7aNYgcfxVomW9LCkj+d7aF1p2oHPlkiCn7npLbxcmORYZZ6a10If7lnznNlsltGhYRQEtutwevwcU90jnJybojqQIhQBIhSMJvOMJvNMNstUnTZBGDIbBJg3b77sZMRa+KFEhp3Mhn7h2KKiIFQVIx5jUS/zR3/1F3zh0Yc4262jJ3RuHt3MQO+lM0SXOu/VBFvrvLFYDwauAaXm0v7Ll1bpABg3DxId2MEPv3vXFWv1K5oC2xcsdoZ6xfS+tq2bxE/dTegEBHN17K8cJ5iu0f67/eh3j6BcR1Bw4WKKrhKU29gTJdp4lE2H3z74aeKFKh8KdpIhh2jI5Rn7pRl/0iZhRCUgRLR9AtlGrVirlPrg6mWFL17cOr+AVxQKJycnKc4tkvjsOZSWTxjTUJIFjB4DRTMJQxWpawi/ifBrlE5/klYxguZl8Y3NhOjEghKadw5hn+mIJAoTVTdQtDi2Y+CGCeLJUUDiFL5BbxR6h1dmKGpVixeen8IwVQaHE9z95jHS6dULj7NYpXlMIJ0iaqobhAZegDe7CAuPUHsyQmANUyi2EVULLW6Qe2Ajma6rV4cTWoL4tl9CqDEqjTIvWU/QDoJv+ktcVVXiio7lS1quzWRhnq996lO0Wi16xoZRdY1UJHZJJT6hdu7vwgVovl3nTK1A1bWI6+byvWeMKLl4Ei1i8p//6//LRy9yCfRni/zPy7gE6mN9xN68ByVmouZTaANdICAoNxCqgtqVJkDSH0/RFU0Q1QwSRoRau4WWTa35GZqmyVBXDwPdvSy2m/zl33+cL3z9a5QSCtruMdxQYioau/P9/MiOu/mLY8/wTLOOF/oseC7RW7ZcdjJiLTShoIhXZJCXmkc/d+4gLd9Bj0cINvQyF4+y2LCIJROMZvPs7Rm5bObp4vMusS6v/O3HejBwLfgSaftr6gCsVat3X54hbDiXbAq8nF3vWiiGRuSBTcv/L8tt7M8dISg2kcV2x2HvGrhQI19JmPgywDlbpHBknFpo80RslqDR5o6uLfQ73cQTcbTu3PJ9L834i3yMycdNfvUH/wt/867fwJxy8E8srlLqW36Oq9TBv3BxW/4zoSzbx9ptix/PvplRI09cMejbUmTL24tIxePLjyR4sjjFW+8IeGAvuP5B/vBzv8wnvwHy/Ps7HoWf/C540w4o1OChlyBU8/zsz/0ibTtCT6ZOJvoC7fG/WHn/5zMUzXAj+16cZn6uQTYX46a9/asCgaV6vlc9iHSruHaJoP08UokS1rtRp0yUpoJzpIBfdVGEgpIysG5Os9BnM79v3xU/J8M6RcZtk4w4tE7+/zpS0MYGorRphPo3/SU+NjbGm269jd/48sex+tPs+9LDNB57iR/+0R8h8pa9LAQWo8ncJUsUYdC5v6Va/tcnj/L8wjhHSrOMN0pUnTbPz5/juzfcREw36I50vvfacDfi1BRCVdAHO02cfqF6Wbtgb2IBdyBPZOcGlHS80wfg+njzZbTuDOr5725E7TT8luwWqhDoQgFF0PTdNc+bjSe5c/suHp86yfxYN7V4HDMZI4hFQQhUReFUrUDBarEl08tz8+NYnofn+asmI37/wKMcKc3xhfGDdEXja5YMEqpBTHlFBnmpeXS+XSNhmCQ0kzp1mnmfwHcZVEzet/VWduYvr+lx8XmX+FbKK6/z2rAeDJxncnLykuZGS0prMmsSe/+2NXUALl70Ll5o12oKvJRd71q0/n4/6kCq00gY0wnGKwTjZQCEoV2TZPEyF1kxey0b73QBdb6N6dvscgV3J28mbyaJRyIkRrtJvnXn8n1fOOMfZE1m/RpBPopSFxCEq5T6rpVQXrC4nfc5EGZ+pX3spq2oZQel6RGR/4iuWfhGF//0Vvin7EEEZTRvBgj5rV++iX/3O/+GUHslYDObjxJpPUSg9ZG55R5+/39+hROzG9iwcYCxzWfQG0+j6KszFG1LZ9/haWZm6qQzUfbePMDAYHrVMyzV84P2JG5rCrtRxJWSegu8Wpyg0s3cyQFi4ijx3jiGJzl3RuFj33iMZ371HB29xstz7274yDs03vfe9xCLJyAMMMSL7LUMHuOOb/pLPJvNMjIyQqTYxEqZyHySW37uwzTGBmgENr2xFLtyl65Thy2biKJiBz6HijNMNMs0XJuYbmKoGpbv8fzCOFsyvezI9dEvDXzL5vYPfhcjP/7PiKk6Nd8hpRm88yMbGYtm1rxOEEpeqs9xtFVk1mlwzqpiSZ8ePcbw6A6OVxeYtuoIQ+AGHvPtGqeqCyhCIabonQzCJX4/uq7zg/e9k6OfmWNhqAs/amKqBoZuEKo6SS1CyW5xpDxDXyyNIsDxfZzABykZjaRI6hEemT7OeL3EZLNMbbKNG/jc2795Vckgomr0R9OcrRU5VpnjYHGaY+U5LN9lKJ7lHcM7ONcocaw8x533jPIjO+65qlHGi897Z98YQSg5Ve3Yg14uqFvnjcV6MADLO812u335H1TEpXUALl70LlpoL9UUeDXIpo39haOdhsG4CQqdaYZyGwwV/a6R6woGLrZijjo+9sOniO5PEDQcRn0JQqBENJT+FJF3bl113/Zjp3GfniBRKvAT2XvQphqIaAyhKteV/QBWGhtZygqfg9jYP1/+sRXOi9Kl+uKf45bLEMwhnTqEAYQShIJQI5jiNP29i0QG34RQDIL2NNZkG99II6NbUeY20dOziVhMZe/NA+Qj87QbqzMUjYbDyy/MMDtTI52KsOemPgaH0kjZ0ba/OBPSKXnk8EWOYmORXNcg/ckApceCLQ367qpScWKoskiirJHJ38Nvvv23mLq1F9NQ2LwtjqJcOpU7c/zzfP2Tv869xtvIDQ7gll9ANo4z6ixwi2xQmHUo6TOEqZu+KS/xZDLJwMAAqXaAN1snHO1mcOdWtEiEgWSWe/o2sj17afXB0PXI6zGmQo9n5s+iCMGWTA+BlPhSoggoWE2OlGfYmumh5LYRpoFjCE77dSKhztZMLz+w+TYeGLr0JMaB4jSTp6YJlSg7u/JYhUnKdouRTA/fM7aXsTPH+eOD34BYjEOlWT526BsU7SZpI4KrtUCGqKx9biEEbxrewi98zw/wx4efZNFq0BNL4vgeddchpncyNhONMv2xNJ4M8KSPDkjbpTw9zyeffoSHyudYdBqofoAvXfZPnmFqfpbSxDRj0czyRuXYsWOYo70EjRZfqRyk4Fm0fBdTUTvZJkXh1q5h5lt1hFCWG0qvhr3dQxyvznO6VuBPjjy5XLrojSUvG9St88ZiPRiAlTvNNXzZjx07xn//F/8PE08e6nTPawpKwyXy3CJGpYIf92geOQjaRWnXbSFqdwSlqSJ8SWioBHkTmbLg2KHlc18RQ0NJR5ENZ3mkUOgKSiaKflM/iR+4+bqf/eLyhrF3AH+yin+21PEyEAJ1IIW6rRu1K74q++E+O4m7bwaz1eKe2Gb02TYyzvnxyWvLfizf03kb4iVjowt9DtziE8DmNQ5SUfQMQuiEqoYIbBAqSK/TiCh0kAH2wpfw64dXTDH4JDg7N0q5LGk1ywyPRBkcSuMuhhCuzFCoqd0cPp5jdlagaSpmROPk8QInjxcAiCcM7rpnFPWisTM1sYWGdxcvPvKLvGdsJ9GoR1A/RCg9TGrowR4CN07o2IggAbEEhp4mm4uyd++WKwoZ/c/P/jo/+iv3o5hVpFtCOkXSwTx7ggLzhXkONh7nZPK9jLuJ1/wlHo1GGRkZ4dGHHwGuT8Z2SyxHTdR4aXGRMAzRFRVdVRlJZumLpTlQnGaiUWZ/cYqXmwsIIRiJpNETMdq+S0I36I2nL1sPv3B+/sHh7bR9l4PFGWzfBxHyrtwm/rDwOZSeLhqew3y7xmiyCwipVWuEjkdCWzsIX3pmXdEYSeVIm1Hu6B1julnhWHkeJ/BpejYVu81Us0LVsQBBVFEhkPzHX/919OFezB2jSMtGmDph2yH0AtRskr86cBrrmSPL1/vIRz4CQhB/8FbiD9xMeqQfTVHJReIkdJPTlUW25fquq3l0d26AxcGtPL8wzkyzihAwGL9yULfOG4v1YOACLuXL3pXKciSziyO/9SmeCz5OgCQidHq1FAGSz9QP8Nh/Xj0Kd7XEYrE19d2XUAyN9G+9B+/IfMeK2PZREibajh7Uzfnrahy8FMLU0Ld0oW+5CuEcVUHpTaJtzBHMBhSCBltUQegGKHED47ah67oHI38Xeu6OZWOjVT4HcvV5hVBJ7PoNQhng1w8TBBZCT4GWQLanEEYOPXsbqhpZMcWgxMaYmh/jbGEzitrA8Szm5mwe+upJ4sEU3bTI5ydRhNrJUFT2Eat3E9Xegx10USqtzCaFhEgZcrEPTSgdIu0nSMXAMzYR6emlbc8S2gUMR6VnoR8W3wZ1m3BjiviDWxgbSqPr6lUpGsoLy+LSQTG7MP0mUWkQqAOUAo0Zx2Mw8bmxTcoAAFvkSURBVM1/iffFUvTFLu/aeTEZzSSvxQlkgBP4lJ02A7E0w8ksfbEUR8uztD2XZ+bOca5dRSRjCARJPULDdThTK3K4NL3ccCelZGZmhj/4gz/gT/7kTxgcG2X0h99LasMgWzfsJRdJENdNkrpJGIZMNMqMqFm8qQLRm7aTNiK8Z3Q3O7J9fO7cQYQQ+IXqqr6LQEr+8cw+npg9RdWxUBAs2k1yZozbu0exfI+EbgIhRdvmQHGa8XqRhueQNaPkQwMUwb//tV+lno8w5zQZiaSZdurk9CgDRpL9zQVGvvsD/JPenauu/2eHn+TvDj1NXouwMd/H92++ldO1AqeqBeJN47qaR1VF4R0jO9nTNbTuTfBtzHowcBUMbxjlZ375F7DPFRG2j5AQagIZ1/HGktx/WzehufqFvaTffqmMwxJdXV2r9N0vRklFMO8eu+TfL1kRy6p1SbnkG41QFeIfvoVgvsHUc/v575/6j9x873tJzElET+Jqyt2XPrdQV/z3hQqF4qKRwyUUPYWW2IjXmkIGExQXpwh9G131mJ6b5399uoja08W//+WfYXCgl3z3ICIySmmujKq1CUPIpHtpNgJKehtPKEQTGxgYfAu6GVvOUHQnp8n0TyJzqwPHVYv3+ZKHX30ZNXDwfNDdkziFE4TSOf85VtG6vogqqmja/ejd/URHs2hjVyccpdsH2DoEQrYJpY/0W4ReAy25jd7cHcQHf5yZVoMtivK6f4kvmQ59sXgaK6rhy7Czi3ZtbCPG0fIcB4szFK0mGTPGkfIMVd9GhJKBSJLeVJ7ZVo1Fq8G+whTfu+mWjh6B7/PEE09wYm4KdawXY8cIc40y9XGf+C1vXdYcEEIgQ0nbc2mGLrLRxjj/XTxWmedEZYHJZpmcHsGbXFh571LyZ0ef4pNn9tFwbeJ6Z3yyYDdpey7TrSr9sTRn9AIhkpprU3Mtmp5NTNO5u38jtUIZoWlE+/OQihA6MXoTWWpVhQ3ZHm7rGWX21EukYyk27ty+Ynff9lz86ZdAVVEcH79lMTMxxYJdY7K5SLVS6TRmGpcft4S1M5bXE9St88ZhPRi4CoSqMPjTb70mmd8LuVTG4UayNPMftrxLyiXfaC4cS/Q2pjjjFkGho79Qs/EOzaHEL2/bvOZ5i08h9AxqfHS5tn+hQmHord345pWexeh+gEbLx5maQq25mLEQTWhsyET5+bv6+OpzKQ6fVDG7NtKX3Q3Azl06juNz8qTFwcNf41/96+9n69YRYARdey+JkU6fyFKGIuY/ihYdJzEavaKHgtDiaMnteGFI2JzF0EFzT+PZZZCdiRT0EPQFgvhjnC48S/uxDZz+isWTyjSmaZBIJvjQh76fkR3vZXTjyqAylC5m+1l+5J0Qr/45VuARnBdsCoMWSqSPbOtlerO3XrWM8beSC02HNnUNcaZWoGh7FO0WN3UNkY/EeakwwVy7TtqMMdUoY0uPwHJ4S2aEe3bdznSzwmyrylSzQs2xyEfitKw2H9/3BKezYN63B7+vh7oiWSzOQ9BpqOyPdcoKddfC8j0qoY0wNDJ6hHwkzuHSLAowmuxiNJnij2ZWNhwfLs/ylckjVOw2o8kce7o6lsgLVoOaa3GkPMMHNt3K8eo8hXIDGYbENJ24bpI2otyUH+KlcgOEYMpuEI8peDJgtlUFOn0eUVVfc3cfSMnnzx3kWLuEmolzemGGM6V5Hi4+DV6A2pMBKZFNC+fw+GXHLZe4UsZynW8v1oOBq6DVavHTP/kvmXjpONWJeaJCZ3TLRjbetotf+f3fJh6/+lnw14qlmf9LySVfbIp0Td72vkStOigND+EEhLqKjGlEn5xFaQeEMQ27VOSncvcTfalI4CqEgcT69OFrDkpC6eIsfB3pFBF6ek2FQlqrv7YXHueVZ/FdB6dpoqgmqmKgKlF6+izuGYoy9eI45e2v9B0MDnWmAKo1k+mZI/T0mmzctHrhvB4PBSN/F1r2Vtqnfh/Ki7gehCiABEUDPYOiqKDEkBiI3ARDd7fo8bNsTeg40kPKEhn/SXBvBi7KMAkVqXTuQfWLBI5FKH2EoiPUKNJZwJr8q+uyh/5WcKHp0E/tuZ/jlfnzi2HIzlw/79uwh1NPLXLaLXC2tkjBbmLLADWT5KHyOKniACOJHM+JceqOhR14HJ06x6cPP8cLQYmu7i4eGBhjcOMYXz93mHaizaRVBTqNco/OnGCqUeZwaYYKJbSeDEnVIBdJ0PRsQIB4JeV14b+jzy2eZKZSQhOCu4xubiVLzSmC3/FqeG7iFPeSI9+SNBpNWn4bX2j4qourWnz20HPUajWEpjLvNHDKbezApysSZ2uml125QUp2c83R0MPlWZ6cO4MV+IS2y/DoCDURoHd3sTmWo+C2qfoOMVXjnW9+N//k1/7HFX8XV5OxXOfbh/Vg4DLYts0LL7zAU089ReRAmR/U9pLYeiehGxB4If5+l+ZnDmF+781o8VdvC/tqWJr5V3oSq+SSL3RIvB5v+3ckdnBvbDNxxcQQKn4YUJc2eTVOU7pEFA0VhS4ziZaKoqh6x1Apql8xKFnFVSgUMnXossclU2mCsT2khlTUVB9a151Up44SvPBpcn0NdBKkUldOd14pQ3G1HgqKYhDd8GME48+f34wZnebGMIJm7kFLDSD6vpfqmRfA/QOMnIUhuhH5bppWC9uy0ZQAxT6N9O9eIccshIqV+hB/9pX/znf/+Afo67Xwa4fR83ejRnpWNV9eiz301XBNQeUVsAOfE3NTr5gOGTEMVUVTVASC6WYF73xzhB9Kyk4bLwhQhYJstCl4bR6ePo4qFAQdTYWHJ49zbH6Sp8vnEANduFKQ9xR+cvd97FuYwJYBDx95mfsSg+weHmZTupsz1QJ24NEMFUIvICREFYKbuoaWO+mbniSxeXj535EwdJIfvJ/I7g0ElQb/4bN/iHtqmthbbibxjttQ0glenp3nQ//4RULPRxvIo0QMQiC0HPzZEgBaTwYtFiETSzDu1Km2mzRn5nn5hS/wBP+H5MYh2gNpRvbeuWI09EBhmprbJqkZeHMlNu65lSNWudPDYuqYiolu+5i6wcDgALfufW0zleu88VgPBi6D4zg8+eSTfOxjH+NeZ5DE8CbS/V0sVkrUimVSFRX/hSnssW4Sb9505RO+hlw4879KLvmCscORkZFLyupeisjT85gnq8ioRqgJhBeilm1CReDsyRH0xhC+JN2Tp2d4ADQFtTd52aDkUlytQuHVHifEAL6fYOqJF4l6HoqiMLChn741rHcv5GoyFEK58j+fpYBCiQ0RaL1YDojQ7ow8uhJ/fopwDtxnXsKpz5KOxtAibYxUEz09SC6fRlEUDMNAlUcJ2hMr5JgBQiXKmVnwInuIb7q1E0BdovnyWu2hL8W1BJVKJoGWTwMhfqGKrK89wqtkkyTedQdGKsFQroeqa5EyokQ1HU8GPDd/Dk92au1LGKqKHgq8M7P0vz3OQruBLzvT/64M2FecpNyudVLinkeo6JwLW7QDj63ZXhbdFkdKMxw4fYJEb56IqrEh1cXurn4GW4JPz5YwFI0tmZ5VZk+/9zf/mzv0Thq96Lb5P/OHOdJaJLUxwtvf8UEMReHF+hyHmwXagUckmWJo4zb6jDiy3uLzX/0yd7/jbeztG+W9+c0ESL5QOMVi6HLP6HaGakU+d+xFyrZFM21yVtdQtBZmxSMTqkjPB1Ol7bnMtWtEVJ28FkWc717tisRp+S5FuwkhZCNxcpEYbuCvmwuts4r1YOAyhOebv5LJJP/8//33bOwZJjHWzU/83E9Rqy/yHmUzui8QEzV487f4Zuk4Glr/cHCVXPKFDonQCQiuJf0XDDcJG86aWQcj30/8n6zeZVwpKLkcV6tQeKnj3OJTCCMHdhfWp07gtieJlV5GNSWTjYD73343+d4rdNNfTYbiClwcUCiygQwhVOOI0AKRQvhJwqCOML+I2d2gYTvYQYjrNalNvIhPjFDvYnTL7USN7mU55sve+mWaL6/ZHvoSXE1QeaGoz7zbwpE+KdXktlQ/92WGV/WQzDtNPls4CYbG0MAAvgzIGjG6IklqbpuGZzPfrpGPxIhqOooQCARVr4U21ktCNShLh6lGBSklMgypOxaK7eHVmqiWT1cuS6wnz/HaAlvieZ7jHG0l5PO1sxw/0tn1j6ZyvG9sL5UzkygxEwXoi6U5XS0gRKeR7lS1QNMQ7Nm7F11ROVcvYleOYbdCwOc5t4ATeKBAIhIFTyGhmwxku/juDTcRLTT53Gc/Ryad5sGdt3L/eTOm+tk4Xxo/TMVpkdUj1KwWrg5+KoIMBUIX2HYL3+q4D5qmSdW1aPsuMc1AN+IITaPsO/QmUziBR9P3SOkRduf7qTqdfoh1c6F1LmY9GLgM0WiU++67j2w2y7a7b8ZxHE6dOc3CuWmG0j2MJIdQFOX61P9eCzyJtL015ZJfDVebdVjiaoOS14ILF2DcKJ6xSBA2iKcLNKsG85NphHrlZsrrzVCsPMnKgEINCvgB+PoGIoqGkh5ACRKEThWvPQ9ejfpii9BWyagO7abLTMlE0RvkBm5HG/4+1Njlg7gbVdq4Gq4UVB4oTjNxcopZy8UzFFoeFPw6pZZPfqCPj2x/04qAYLZV47nDNWqOhRcEaIqKpqpkzCgRTWcgnuYDm25htlnlSGmOduCiCoEjA4wNA3ytfA6pCXwZoAkNQ1GpuhYBHlZSBzeKYyo0RcBks8KmRI68FqUkPMqBw1y7RsaIMZTI0vJsZpwGwjSo+Q7fmD3FM/NnEQKcIKBst2hdMK9/plakaDcJwhBNUXADn5LdJq4bJHQTRSh0RePoqkpIx2FRmDq6oq4yY9IUhX0z55irFrECH11Tyff3saGnn7nFBUpWkZJj8XJpmqRT7ZRJztsvD0TTyLZNw3ewW3UgRFMVNqe7ualrmKfmTq+bC62zJuvBwGUwTZN7772Xe+/t2PAefvJF/I8f4rubGxlODLDB6EIMpFB3vza+8NfKxVbEl5NLvlauaYF/jYKSq+LCBVgpoozZIKM0Tw8yd1gQnexm6pPP4nab9PVd/vd2vRmK5Vu5KKCYco/wV1//Ig/+2L+hJ/Uysj1BGLSQMoIMq/jSpthsgNFDtivK5rEtZItz2PUZ6lNfou0n6B78L5e+YOjdkNLGjeJAYbqzYw48BuMZBhIZDhSmmG5W+dLEYW7vHVvWAZhv1zlbK1BzLOquRc2x2JPvjPu1PAdFKGxMd3H/4Bb+6tiztH0XR3rkzQRx1aXhB9R9Gz8AU9XIRyMYqkrJbpHWDDKROMWggK3CvNXgZHmeXFIhrZqYmLw1O4qayTLdrHC0PMexyhyNchVjpJuyb5Fz2tzcPUwYhuwrTLJo1SnZ6eVFdbxexA8lUVUna8TRVaVT3ggC6oFN2oiyM9tPxbGYaJTZGhoddU/EKiOphmsz3a7SDDzCtk3CjNHVkyYXT6G6BQpBwBPVCWbP2kRMk5hmsNCuk9Aj9BpJnGPjRB+8l4bvgggZiGS4f3ALWTO2bi60ziVZDwauga0bNlPfXCGYr1OYXeDwkSMoQ2m6ZrrYtOlbP4JzsRXxZeWSr5VrWOBfy6DkSly4APtOCaSPL3VqcpZDX3yYPmnRmFhEm5q/YjBwI7gwoPCiBofOQqjliG/+mRVZB894lGDhCZRUEy17B/HMWQwzilBiCAISRhXV+hp+8yfREhsvdbVXXdq4USzVsWuujaGo7Mx1HPq+OH6IPznyJPPtOgeLU2zN9PDI9HGeXxinYDU5WytSc9t8aeIQd/SOktQj1D0HRUBXJEHdtZhslPCkDwg2pruQapzPv3iISP8Addkxe9qU6WaiUcYNfLZ0j1Bo1jmjTdP0HJotydNTJzky9xLzrTr3b9tDPBbj6cVJWr7LtkwvUU1ncnEepTtLO/AZiKeXjYOmn6twtlakbLfQREfRr2S3iGkGhlAICGjYFrbv0/IdZBjSF02iCoWS3eRsTSFLGsIQSbjKSKpkt7CkT0iICEPikShmIs5Uu0Jbl8iYSc1zSOsRcrEUZ+sFZls1sqZHy4hgv3iSHYkuTnp1FCF4U+8G3jO2my+NH143F1rnkqwHA9eA3pci8cG9JMYk+7/0MPJ5D/9MifYjJwnv2/uaLnIXc7HIkD9eRh1Ko+/tRxjaq3ZIvJhrWeBf06Dkau5Vi+OdjFHyJO2EoNyo8vu//b+5rZ4nn+9j6+4d5PbsvPKJXiN0+wBBy0SNj6LGNxC0p4kaAjWZYdP2bcT77icjuhHJXUxP7qNZnGf3YAlNVnEKj186GLgRpY1XwYWyw6aqUXctPBmQ1CPsyPaTMWMkjQiaUKi5NvuLU2zO9PDozEkars1IMocqFJ5bOMe+whT/5aWv4ssAXwYoQnC0PMdCu85Mq9rR2we2pnvIqD6fni2iCUEIGIrKXX0bmWyWAUFUN2gGHtFEAt/38GRI03Fw4wqJaI5YLssXS2eYsmpkzCiSHnZk+xifnUboGp4M6IoklvX802YMGYZYvkdMN6g6nZp9TzSJKgQFq0HBatL2HFzZmXaoORYPT5+g5lpMNSpUjSTaQBclt81ko8Sb+jYAMNeq0fQdUBQUQwdNI+aEDEZTHKkuUI8oaGEUr97kZj/BO3a9mT8/+jTj9TJV12JC1kFTyGtRpNcpE4wkc9Rda91caJ3Lsh4MXCVSyk6tb0OOW8bexoHGJMdPjtNoNDAX6t+URe5CLhQZknYnKBEClP4U2uYuCOR1OySuxdUu8BcKEd0I2+brIXR9Wt84w5FHn8JWAlAEP6TeRH9vhkQ6RezWEbTIt6bPQ9fAbD9L+8xLK1L57eo5GlbIP3z2C+j5Bre86buYmZ9n3zP7GNAWuXPnEIauEDRPE/rtS04EvNrSxvUQSLlidy8ERFSd8XqJQEpMVSNhmHx98ihfnThK2W5hBR77FqfwAkndtdmV72QO3MDn1577PEfKc5yoLDCWyrMr15n8sH2PuXaN3liK7miCmmtTdNrcEx+k/cwRev7J+3H8kLFUnt25Af4BAYTMNmvomkp/Mk2hXsPDx5UB6Ar5aArbVCk3bWKawVgyT8lu8sLiREd5UHZ27wtWg6rTJgglNaeNIgQRTe+o/skAKSW5SIxtmV4mGmUqjoUTeKhAVNOIGgZN1yEMJQ3X4ojroA91MeU0+PjJF4lrJnf2jXG4NHs+lQ9SgHB9YjNFNg5vZ1wzKBEiVUGCju9APpJgS6aXFxYmaHg2k3adxDvvYMZprAqi1s2F1rkc68HAVSClZO6hg9RCi4ruUrdanHzuAFrJoW7WiTrtyy5yN3IWe4nuyRap8yJDqiqQpTbBQgN5pgSOj9qfWnZIXOyF4r59130t/WQVmdAJuiIrTJqS7TYpo2v52W+0bfN1oyrIqMrxY8eJCZ14JMrQ2Cg9m4cZedteIndveO3v4RIEkvMiQd6KVL4WH0OYI4z0HCcRe4bG8YMoTZu3bBN0p3vRot2omoAwuGETATeKw+XZFbv7MAw5UZ1nrl3D9n0EMNWscKA4TdFuYmo6npQ0XJuDpWm6o8nlzAHAXX0bmW3VSBtR3jO6k1t7RgnCcDnrUHUsTlUK1BybiUaJz4YtonfuQBKSNqP0x9IgBFFVJwRm21UG41l2btrFN2ZO4zUrGErHuS9rxnGkT1I3GYxn+L5NN3OgOM2pagE/cMD3UBCcqRX4jee+CITMtKpEdZ28GccPJZqioigKYQi3dI/wrpFdWL7HU7OnEYFHUo/QG00xktA4XJ6l4XZKB6HrowmF2XaV/3nocR6bPUXBamCqGhB2dKkCSbFS4fSBw5i3DCEJQQhSRoSeZAboNB12ReIkdRO17aDmkgRhuCqIWjcXWudyrAcDV4Hbsjj790/SWqhQsup4gc9oqU1E5sj2dRO5ZXjNRW5ubg5FUa5J4OdqGU328I0vP8zQ3i2ImIFcaND8ixfwTxZQN+eJvW8XSl+SmVaRHTt3Xtme+RIYQuXn828jrUZpBs4KkyZUhfe/8+dJLj37DbRtfjUIVSH/z+/mZ96z+7rko19LpAQr9SHiW7pWpPI9tQ+/BYnsF4h6R2i2ZpCWR7JrEwPDOzBiEQTBDZ8IuBFc6P63NIv/x4ee4HhlATvwsH2PE+V5SlaLrBHDjnqYioapajQ8m5hmkjajyxmGZ+fPsWg1aHg2T82dJaIa3D+4he5Igkemj/PI9AkWrBpu4FO0GrSDJmo2QUo1iUU08pE4EVWjJ5ZktlWlYrcJZEjSMEmZUbKeQ3c0ScaMUHcdWr4LIbQ8F0VR2JLp5VS1QCNwkW4nmCnZLYpWE0Snyc8QGrlIHE0oxHSDmGaw2G5Qcyze1LeB3fkBvjF7ikAGaEJFVzvPq6CgIIipGt5MgY2bd+EZGgtWnVPVBXbmBnADn+lmBVVX6M7mCfI+z+zfh9krCMzOZ751aANbN3dUNPXzUxc9sRQ7IlH+4vGDvOdHf4F33H73iiDq9e5Lsc63lvVg4CrwQ8nRydMEU1XcehsVBTf0qaoBOx7YTN87b1rzuGq1ipTyikZF18qSAVIx6jKkCMKmQ+hLlGQEJRPF2NGLfn7CoTh54rL2zFdEhsS+OoW2aK0waSrYdX7nU3/MmwcUlpZ4oSrEfvDm6/ZwuJFcbM38eiJUomgXpfJ1IJaCD/7sJ2ke/iiBM49QYwjFBEUndMsIPftNnwi4EkuNgooQK3b3O/MDPDpzkrpjs2g1GK+XQYCpqMgwJK6bZM0oTd/BClyEeCXDUHXaxDWDqKYz06ry8PRxemIpXOmf/3uLXKRjp53QTaKEOEcn2P0D3UxqHnHDZCiRZTiR41y9RM1pYwceFadNzoyhIBhN5jplBruEAIIwpGg3+cyZ/WzP9qIJgQxDhK4REJLQTXbk+iEMOVlboObY2IFH2oyiKyr9sTRna0WOVea4s2+MXCRBEEp8KWn6DtPNClkjiqGqGJpKAh2CkH4zwa6RjTwyfZKRVI4f23EPf3rsKSYaZVK6SSKbp+QGBDFBU/ggdHRVZyzbjWl2IgNPBstTAl16FPfMDNvjXcsL/7q50DpXw+vnrfI6JpFK8pNf+L3XnVGRUnNp/+VLVzXu92ruIdyzd9WzNwrn+MxfHOCjF7k1vp4X4TcCip5CjXfKGGHQIpQOAr4lEwFXw5Lgjalqq+blu6MJyk6LmmtxsDRN0jDJReJIQlJGlJFkjslmBS8IqNoW8+0FSlaLvniapG7SFU0QUQ1mWlWOlGdoe95yBuLmriGemT9Hy7PxHQcRNSl7Fmgao8kcaTPKYDxDdzRBGIZkjCh39W6kYDXQlRrd0SQTzTJN1yGq6aTN6LIpkBP451X6JEJVCIGUEeEXbn4bbuDzb5/6FLbvEYRyuRFvb/cQx6vznK4V+JMjT1I5P2mgq51XrO27ZFJdBGGILwP0UIUwJAxhMJmlN5YkY0Q7ZY5oxyvDDyV3DW1iX9NmAQdfhmgoJMxOiUA9P5JYslvLUwIJ+TrRPFnnDcd6MHCVvC4XOV8ibf81n+df69nlvtkbeo11OtwQsaOrZHJy8ppkqddi3mkyX1jAlj5nT51Gn63Q1dWFbqjkI3FGkzkW2w0KdgMr8FCFQjYSYyCWIqabnWmBULLQrjHX7ozC5cwYbc8lH02wIdXFTKvKmWqRALmcgeiNp5holjlWbjPnNojeuZ0Zp8nW/PByg9ze7iEOl2eYblZZsBocLE6jqUpn4TVjVJ024fk+gzt7xphp1Wh5NgvtOl4Q0PYdkGFnXDAM+bOjT1N3LOqug66oqEJZlvXdnRtgcXArzy+MM9OsYgUevbEUAohpBhFN54GBzTw6c5L5dg0BCEOj4ttMNyp4MlgWA7qzb4wvTR6ibLdZxOHWW28hWVmk6TlUnDYCeLE4gXlGJwxDnpw7gxN4jCZzaPVvXQlsnTc268HAGxiZNYm9f9u3ZJ7/9cCNbsx8LRo9r4dvxkTA5OQkO3bsuO5ekiWW/ASUeIS/+8bBjjlPLMZfP/V1ZBiyNz9Est/k02cP0PYcsueb9lq+y1ypttxM9/DUcXrjKSCkbLeAzghcTzSJriiUnRYh4XIGYndugBNdQ5ypLdIKPJRkDFlvMZJTaZ+bYd/4LEEo2egaHPFh1mly1HHZHM0SN3yemp2i1m4hwhBsF6XeRnddqladBbez0zZkiGzZZLUIDdfia5NHCcMQIc6XFawmVbtNdyyJqii8Y2Qne7qGmG5UcAKPr00eY7bVKaF0hH5U3MAnCCUVz0bryTJp13hi9jTz7ToAKoLbe0a5pWuYx2ZOcrg0y7CTYSiRpe11+i9qrsVDUyf4+uQxQkAVgr5YmrbvEYY33qp8ne8M1oOBbyHtdptf/sVf4uQzB1g4ObHCGvnnf/Pfkcvnl+uCa6KIVz3Pb9s21VKFT/zhX9KcLdEu19l/9BCRvjTduzbwe//194jFXj+d63B9zotXyzfDw/31EMQUi8VX10tyHjvw+cTiUeacJvf/039JerbBRz7yESZLi3hCEjdMfmznvVQcixOVBbZmemj6Dr6UxHST+PmRu+PVBSabFTRFoSuaYHO6h125QequhaooBFIShiGqUFCFwiPTxzlVXcT2fSSgGjpf+vgn+cTX/u2qezR3byB2/160fIpj5/sARNRAaBqh6zFXrPPs8c/gL5SJ3rkDc9sIKAJvagFVN/BESNlpE4YhWTNG2ogy3aoy2ShzorpAd+yVpryl+vx0o4KuqOfFkUARgpO1BapOG8vz8H0PoWv0GHHi51UWZ1o15tt1cpE4G1JdPLswTs1pM9WsUnNtQkKCsFMOcB1r2cFRVTUUoXC6skhCvr6aS9d547AeDFzAjX5Jnzt37pJ/V61WmZ6eRnlxjvd7W4mM7UBH7Vgjv+zQ+Mwhoh+8HbN37WDg9ugo6myLcKf3qub5Dx06xMTfPcWGozaRMIVOljf15ynadU68WKQ8t4g61H/5oOSbzPU4L14tr6WH++sxiLkR/Synj0nac2fwsnGG4z0oyShTdg2ir9TvN6d7WGg3mGpWUIRgS6aHQMrzintNynaLqmsRVXW2ZRM8OLSd7dlenpo7QyAlEV0nJMQNAk5UFzhcmuFUdZG6axMKSPZ2sfFHvpfv+r9+iXfnN63IigWh5POFkzxWmaQVuERVHREK6oGNKhT6N2wlc8999JkJJq0ax9oloorKPSN72W8VKXttYqrJcDJLLhLH9j00oWD5Hqeqi9w70Onqv1hvoeK0WWjXUIRCSNjRH7Db53fwkqDe5J25DSzGFU7XC8sjmZKQs/UiOTNGUjdpeW5H40BKspE4fbEUbjygy4wjBcy1qoQhHK/OoyrrzYLrXB/rwQCv7Uv6UtTrdaampqjMFTGyXZhdKezAo1Ysk6wosG8OZ/MMvHONOrEneUt8K/GvT9M88+yrmuc/ceIEZ186yM3aIDIfw8ikyLopgqMeQwWN5osTJLuyr6tgAK7defH1wBs1iLkSFzbPTbZmiL/9dubcFpvzQyvq94fKM7y0uEgYhuiKiq6qjCZzvKl3A0/Pn2GhXSdrxrh/YDMPDG0FXmmOy5lxAiRTjQqHijOMNzqeBwndwI/EO01/YchhWecDGwaXPQ+WOHbMZ0J16Y0mee+GPahC8DsvfZVFq8FwVy/DyRwFq4muunSLFFszPWzI9vHy2RLCF/REE/zgljsYbxR5fOYUISGqIijazeW+gYv1FvrjKZqeTct1UBUVCIioGi1FIAMBrs+JVglP6Uw/BLITMDQ9h7Ld5r6BzbxnbDdT9QqfO7eflwpTBFLS9lyEELx5YBOnqoscLE7j+B4AFWqYuzcsO66us87Vsh4M8Nq9pJdGANeiu7ubPXv2MPb+N9G7cy+7HriD3/uD/87pfRPc6/UQV03MOXvNY1EFtcACeNXz/A888ADbe0bZ0j+K0Z/B0+GTf/o3hOc8umJpEkX/dRcIvJF5owQx7XabX/qlX2J2dpZ6vc7Q0BAPft93s+ueO1fNrF/YPHeiMoGaTdCtx5Z390s/c3v3CIdLs9Qdi5bvsis1wD19G8+r5M3iS0lE1Zlt1ZbV/pYkdDdlumh7HmdrRU7VFmi4DpqiENcMtmSSZMwo+wpTy54HFwYDS+OPMc3g7cM7eGBwK23PpSeWYr7dQCgKP7LjbuZbdZ6cO8X+wjQbU920Aw9D0VCFghMEZCNRHJmm4dkEMiQRMTs1/PPOhWvpLahC4VBplt25fvZ2D1Oy2/z9qReYq5Youz5ni/OM0ceIanLOqnBqeoLTCGqehS6STDinWXRb+PUW1XaTUigpiCqaqvJ/mk/SDFwavo0pNCQhRdcicutWJuwat33zvzbrvIFZDwbO881+SRuGQSaT4S0ffA+maTK/uMDJA0eJSpXufDeaqqGnImsfrAj+qvosP/uu32ZkcOOrmufP5XKYN5ukursJLY+wZWGVGyQUlUhURU/H0fX1pqTvJJrNJvPz8xw8eJBisYhlCKZGk0zPHWTohSq5VJreWIp7+jZy/+CWFc1zD9san3jpJDs+0kXCMDlamcPyPISAbdk+dmb7KNpN3jWyi3eM7KA7muS5+XOoSsfiVxPq8nheGIbLErq90TTTsoIdeMw1a7QCl4iqE03oDCWy9MfSHCzNUHds9hen+cDmW5fH/tYaf4zpBkPxDPsLU5yqLLJvcYJt2T58KTFVnVw0znSzQkI3KDuCst3kU6dfRhEC2/cwVJWkHlmeALiU3kJPNIXlj7NgNdidH8CXkqOlGdJonDw0zlc+/zR+oYrWmyN2/02E3itTQV+YKaImoiipGPpwN1p/F4QhfqkOXsCkpqBETKTr4s+WEIqCkoxh5FMUNP9b9v1Z543JejDwLUJVVRKJBA8++CCnXzhM8ePP8Lb5HnLJNBvi3TCYRN19adlQJ/QJ+mIYe9ewEL4G4vE48Xh82aLYrbfZcjgg8CIU4xbRWwaX55nX+c6gXq8zOTnJocOHCbf0E7l9G85wD5NYyGqRRCzOTLOyLAa0tAsPpORos0D0ju08Wj7Hoy/N0vY9ErpJbyxFXDepuhYZI8amdPdyZmFJNKcnmmRXvp/jlQVmmlWEgP5Yhpiq843Zkx1VQtem4TtYnodmKPTH02TNKIdLM5TtNm3fZd/iJF8eP8x3b7gJIcSyd4AqlGW74EBKAimxfY9pv8J/2/8waSOKqWpsz/SxIZXnyZlTVM7X6i0ZsK84RdaMEdUMMkaUqGYs2wFfHHAs9Q88M3+GqWaF+XaNX3/uC2zN9GIHHtlkmr/8r7/PUNBp8j3QWODr5bOYigZhSDVw0FAwFJU+M8Hz1RkmnBoqgh0bt5LTo8y6DSqeTUIz2LD95o7IURhiGgZNQyyXL9ZZ52pYDwZeB4wODpMdmce/9S4WZ+aYnpmm/Pij9A3bvG3L935zbuK8RbHS8tgxuJFj9eOcPnOEar2O6TjrpYLvIKanp9m3bx/RTYNs/uA7EUNdlFsNwobFYmGcm4c2YOoGC+0GR8ozyzbEXxg/xLPlc+ibB5l2mojQ7izEYchwMkfJbjLXqpE1Y9Qca/l6JbtFw3Mw1c4uf3uufzmb0PBsvjZ5bLkOnzaizLdq2L5HRNPJmwkmmxVKTgtT1fACn5bv8vjsKbZketmR61v2DghCuWwXfLg8y3SriqYoRM4vmAWrQcaMsTnbQxjCTLuGI326ogncwCd6XhUxZUQwVZ0gDJftgA8Wp5lr1nACn6bvcLg8y+eOv8RktYDtOjRlwPPt0xyYG0dXVOKKxhbfZCjTKenVfId24CPDEAmUXJuYqrE31suD2THOWRWmnM74oRP6KIZGUk9Qb/ooukYynUYgiOl6RyPBc5fLF+usczWsBwOvA7TeJIkP7CW5Tefcky+gPOOhzbbwn54k/OHwm6IXsGRRLL2AcLaM+Wfz3FbbxJE//SoF3eK2229/ze9hndcHruvSbrdJ7diAko6TTiTpMmKIhRmOLs5Ttdr0650d7USjzP7iFI/OnOR0dREhBEGpjjIi8ENJLhKnN5paLg+M10tUHWtZttcNfL4ycZhz9SI1x+LvTr1IT/SVEsRfH39uRR2+Zls8Mn0CTwYUrQZfnTxKGEp6Yyl6oglMpeOQWLaaHCnPsCPXR8aIrvAOAHhi5hQT9TIx3eSu3g28e2zXsqNiTNOZaJTwZEBcNdmS7mG+Xcf2XequjYIgYZjkzATDiSyPTZ/gkekTnKwt4AUBnzmzH8Xx+fvPf4ZAgDbUjVAE0nJAVRGqAjLk2c99lcZnnkRoKukfehvacC9h00ZEDdRMAllt8vinPsbvTS6Q+WfvxNg6jBCCU3MFTlbabLhtN37YsXi2fZe4HmEgnma2VVsuX6yzztWyHgx8iwjDECkllmWhKArqSIpdG95MLSc4XW1T/9oZEoUmsuWiJl77XXkQSpSxLJqioG3pIrL/CGK2yYlDp6nsz68HA99B+L5Py3OI9uYxIiZd8RTpXAyjEHDy2HE836VuW6iqoO25PDc/zkKrQUTTGTJTHHzmCJHbbqUqfXJmHF1VKTktNqa7ySxO0HBtTlYX+ZMjTzLfqnGoNIsiBNuyveQjcSabZR6ePk7SiK6qw080yghCZBhiBz4Vu0kAND2HpBEhZ8YZiKcJ6QQqngyI6cayd8Aj08f50vghnl44S9XpjDKWnTYRRef+gS18eeIIp6sFQiCq6li+y9l6kbbvUnMt2p6LLhQ2Z7rpz6UwFH3ZLyFrxqg4baYaFarNGoGmsuGm7VSFJKKq9Opxar5DEAZ4UpIaGeWWH/wwzcDlaKuIAuxO9DBj1zltVTAyaX7ud36TrbEcfzizj3mnSRiGGJE4C3KWst3GO6/K6MqAjbEkw4kcU43KcvlinXWulvVg4FtEvV5nbm6OP/+l3yU5kKf/li1s2bGNhz/1RdwnTrFVzSJVaDpt0q9xMGC9OMnR6TP07B5jYHSY+RPj1E/O4jWbpLqyZPq6X9Prr/P6w1VAah2PPU3tSO/u2LaNtmNzdGoGt7uLfL4LJ/CZa9cIwoCUHqFl+6ipWMeiV4TLI3htz8VUNPKRBAndJGNGmWlWOVsrogrBLd3D/Lvb3oUk5M+PPs2paoF9hfFVjX8HCtOdBjsBYQjy/Aid5bsEoaQnmmIsmWe2VVuRKt+Z6+fvTj3PN2ZL2L6HH0oEgoiiImXAw9PH2Z7tQ1cUKk5HlTGq6dRcC+d8iYAQvDAgJCQbifPg0HbGG6VVfgllp0nDd1FyCZpKx3J4LN3NWDrPEzOncAKJoii0RMAxr0YgA3RdZ2Omm4/sfDPn6kX+//sfpu17vBxUcPUoUldJixhRTSf0fObbHc8KAAWFrZleHhzaTsVpL/sUXOgVsc46V2I9GPgWEYlESJoxttUT6IsO1qH9TMRO0leqEZE5eob7SNw+RiTx2qr/ha6P/cRZat94njnxFPsV0HyBKFvYeCg7++jqX/c//04ikUiQ7coTTE4jwhBNqAShJBqP09/Ty5HqOH4o8cIAT3YWR01RKFhNinYdc+coJc/CFSElu0lCN5FhiKIINEWhJ5rjA5tvoeZY/PXxZ9EUwdZMH34o6Y4mly2EJxuV5fE8XVWXO/YJwVA1pHxllj6kIxGsClAVlaprEddN5to1xuslHp46zmK7gXO+Z0ARAoFAURQiWqf/Ia4buDKg0aqDCLF9n7huktRN+mNpZs0aJysLaIrCbd0j3NE7xrML51b5JSxYdZqBh5ZL4YQBCT3Ch7bcihMEPDZ9El9KkoZBbyxFRNWYblYRQuAGPp87d4CIapDUI9iBz0K7Tn8sTdaM0VIcUnqErKby3Bee4Y5fuYVJr8lgIsNHtt1JdyzJnx99GuhIOa83D65zLawHA98iTNMknc/imQr2Ysca2UEhUKBhwtZ37GTo/W967Rv3VIUwrjM3N0e7VMdutdFjEfyIoJiT3H3fg6+5PO86ry/S6TSDff3Isy8R+gFqCE7g45ghkXiMsPZKh76pagQyoOU5FO0mlvSRTZuIotGWNgWrScqIMZTIImW4bLXbE0lytDTHZLNC3bF4ev4MNdfinr6N5MwYuqLgBJ3xuKXGv6prUXMtfBkQ1wzykQS271H3bFzfJxQhJbvFy4uTTDTLTNZLLLTrpI0ozy2MU/ds4prOYCKHDCVz52vrddcibcZ4aXGShXa908QXQsOz6Iul+IHNt7M508PB0jT/KPfRcBya55/3wszFkt7CbLPKqdI8QlNRgP5omj35QT539gAAutIZS7wpP0jRbnKiuoCuqAzEM51yRr3YCVJUjd5oig9suoXj5Xm+MnmEqmsxZGTxJhfoNRPUlABD1fj8+KEVo5hLYk/rrHO1rAcD30JerTXyjUCoCtkfeRM/8K6d37J7WOe1Zb5dZ7pRWSUWdCk2bdpEJBnnvzzyjywUF9FkyODmjTw7foLxQ8dw+hJoMkBTVYaTOaabFWqujR9IIqqGdfAsw29/O1XLwfJcak6bmG7gSH85hT3dqvDk3BlarkNcN+mJJplpdcYVd+cHcGWAa7c7O2bpU3Ms+uMBtud2rIWFYFeun5QR4aXFSYp2k4bn4Pg+tXqdxvn0fsu22JnoxnIsvCBAkwLTDTAUhYVA0g59JssFcnqEWbfVKTXocbwwoO06zAdVpiYnuSfaSz6SIKIY2KpPEHYMlZZGFhuezcuFKXKROG8b2sb++XFaVpuI0OmOJWm6DtOtKopQUFUFoYACzC8s0LTa+JbNX3/8a/zw3W9n+K23cSScJQg7XgTDySy6ovDFiUM0PYdpWSf+tluxpc+WdA+5SHx5FHMwnuWevo3LYk/rrHO1rAcD32JeD9bIr4d7WOfGc7FWvhAsd+onLiNXqygKuWSasWwvRUWlXCqDolBqNahnFMyoRkxV6I+lub17lMVWnbbvoioKMVS0XBJDUREIbOlTcVqoQnC2VgA6KewjpTlqbptMJEaXGWdzupvTtQITjRJzrRqnaosoCExVp+07fGniMMPJHLb0sc9bIeuKSkQ10BUV2/cIgoCJ2XHOtmy0rjToGk2nxpknXsQY7ELNJbF8yTMT00jHQ+/LIUydZq3OWdtFiRgEdYszD72I2pUkfv/NtITgP3329/mNJw7xb/7uYyhCkDQ62TohBEIIppplPn1mP7qiIgQ4QYAQCkhJKELswOVUbYHF8xbNuqISyBDf85koLRDGVNSISfrOHewPq/QfP0o0a1J2oOq0+bsTL2CoGlFNJx+JgxeiZhP06HE+sOMetmZ7l4OBqwn21llnLdaDgXXW+TblYq38pTTyw9PHuTm4/Py5pmncPbqVh8vjFK06C2eqkIlDPEJc19iS7ubBoe3c3D3Ek3On8aVEFYK4qqOP9HC8WcQKPIJQUrLbfO7sQbqiCbZn+tiU6uFrU0cxFQ0FOFMv0PQdZCiZblZxAh9VKIymcowkc7ywMMG+wiT/+8iTnKt3GgBVReF0rUjGbDHfrtP0OlbIIhahu7sbVdM6TodRGL2/Fz8MaQceARKRzdBvJih7NlXfBl1HJGMoQmFH3yg//tYfouC2+cOZl2j4DoPvfYCToeRoeR4iBjIMcQKPnBk77zZYRYYhu/ID1B2Lk5V5XBlA0Jl6mG5W+MzZ/VTsNpqidHwDQmjbNjXXglgcTWhk4ykqLYvFqXP0p7YSUTXiuknJaaEIwe09Y+zI9NGcXeCLj/8u3/OTv7Ls4dAfT7/2X6h1vq1ZDwbWWecCJicn33BGQpcqA6yllb/UqX9WXl6u1jRNfu1f/CvuuyCzYAcuhqJzU36Q79l4Ez3n7Xq3Zno6Bjyei49E681R8x2E6NTHdUWh5loEoeSmrkE0RdD2XVwZ0PJdmp5DxLHIRKJUXQs3COiJJHj/hr28e3QXv/7c5zlcmuNsvYDte0hCkCE5M8ZIKsuR4gxBGAIhKAq9kQTD+V6qdovpdhVbglDAVA0s3yUENnX3s0vV+frUMZzAIwjBVDXeu+02vu+mB2i6Dl97eJojpVm8UGBuHqLitRHCo+m7qGKek5VFLN/D8X2KdpOpepmq+/+1d+fBdd33ffffZ787Lu7FvhIgQRFcJZJabSuRF0VNHDlNUstJNXXSNu20z9Oky3SeeWaeJn8k7bTjTps006Rt2qYdu03s2Elqt95U11YkS5QsUtxBEgRIgNgu7r24+7lnP88fF4BAiSJBEqRI8ff6S9KIFwckhudzfue7mCybVSzfJfQ9orKKFwQsm3W8IMALfCRZIqtEMRsNAllCRaI9HufZXeMc+9FbnFhZQKmViUeifGpwnI/1jV31Z3usegxnaoF27X3GlQvCLRBh4C64F/bX3wvXcK+bnZ1lfHwc0zS3/LNjsRgTExNbGgiu9xrgcNfwNWflj6W7OVVY4LRZQx8boOS+zzIsuGrnwPVqDnZn+hhMZpipraB4EqHnkVB1+tsyaJJM1bVpuDZV1+Lo8iwN1yFnVinZDZqeQxCGVByTkm22btZhSFTVeLR7hK5Yip8Y3kvDdemIxbF8j3yzhh8GlG2THj+FrqgokkQQQlAzeXLbIPM45O0GtteqUwgJUSQJPwiQ5Fb/fVw1iKqtvRuu75PQDEbTnRxdnkWSYKyti5nqCng+geeRUgxkw8Cn9S7/e3MTrTDgu1QaTZbNGpqiYAd+K7CE0KHH6GrLEFE1LpRzFKw6cclgVyxLbnmZUJJQkEnqEaq+i5uIoMlpmqFHRpJ5vGeUw93DW/YzIwjvR4SBO+he2F9/p65BRWZHspfOkozz1hySoSBnYsh9qfu26LBQKGCaJl/60pcYHx/fss9d215ZKBS2NAxc7zWAJEnv6dH3g4DL1QIz9SK2ZRH/+CN8PX8Bda6Dp/vH3vfPrSeWomf1FOBaspE4u9p7IIROV+aV+QIj+w6SjbVxamUB07WRJQk/DKnYTRYblfWiwyAMaDdiJPUIC40KqyfoRDSd7W0d65+f1A3iqkFMNeiLt1Fz7VYL37INgCTJyGGAX26Fonmzgu256IqKJPk4vofte/hhgGQHfPvIKxjtbYRRnYQeQZFk/DDkqxePktAiSBLkzBohIXbgoWbbaIYew9EO+hJpTNflzMoilufgBUGr3VFVyURi1ByLkre6cAiJTDROJhJv7VZwLTqjScajGSadGZAllBBG2zrpi7cxoasovgZBSLcW53DXvb/hUvhwEGHgDroX9tffqWswjuVJTzdJfH8J050HVUZOGWi7u4l8aidS5P7ddDg+Ps7Bgwc/6Mu4oeu9BphYWXzPcp7TKwucLM63hujIGn6lQd4137Nw6GZtnPDXtGwCx8MOAy5Ulqm7NposE9cM6k6rLiCh6jQ9j5rTRFdUDnUN8ZdHH+E/nn2VolXHDwJUSaLqWHREE2iygiLLWL5LEIaMt/fSG29jvlGmbJs0tNZ0QCtwIAgouRZu4KNIMnHdQAIs12WpWSUIAiAgaIvh6DKy5yE1TeS4QTOwWTZrPNTfQxiGTFfy+EFrcBKqgoyE5buU7QYly6RgtU42vCAgY8R5YedhHuka5CsXjvLylfOARELR6IomKVoNMpE4buCR1A3OuRWqEQXJlJAC6DLi/JWxQ8xMXOCyt4Iqh+xQk+iK+CtauDvET9oddi/sr78T19BcmMBZnENKGMiaTOj4BEs17COzKD0p9EcHt/TrCVd7v5W5awN7lswqSFy1nOdEfo6ybRJXDUaNOK/84Di9L/619YVDtxoGAA50DnCuvMS5lQL6cA9zdhUUGcIQXVaJKjrlwFwdTNRAk6VWiyA+TdfhmzOnmK4WWmO6CcmZNZqeA7yz1RAFCEGVFZ4d3k1fPM1crcTZlQX+49ka856Lkk2xaNfRNYUGYHkumUicrkiyNZ3PcwmQQFWQ/JCg1mRpbpm2fTsIFBlVkvns2CEc3+PI0jSSBHFZZ2mxSGJ0D/P1Ek3PBcDxvfV/jmoaH+3bweM9I7yVm+GVufNIikS7FuHndhzEdFuvQ2ZrRc6Xc5xfnscOPcKmQwSDpUqJ/3byh1xsrOAFPhlVZzzTe+s/IIJwk0QYEG6J/vgg2u4u5K4EUkwnLDdpfPk43oU87mT+QxkGms0mv/mbv8nZs2eZmpri7NmzvPDCC7z44ot86lOfQtPu3mnIu1fmrslG4mirG/pkqTW4p2I318ODGwTENZ2UbODly8jFOqVEyBHrDEOV8Jbn2fthQHvdo16vI6eiWL5HVDHQlNZTfVc0Qdk2qbkWc41ya1Uv4AQ+byzPkNRbxXC6ouKtLgR6dXGKMbPGW8uXqbs2ndEkXuhTc2xc36cnlqIzkuCHixexfZ8gDFBScc6aBeJ666jfCXxKtknDttCRCGwHTTPoTmb4aN8Yi1OXeNMPcEIfNZQIJYmvTB5thZLVSYdKGEAQkHMbWH7IcDJDRzTJG0vT1FybkBDLd9dPYFpNm61XLmEImUic3as39sd6trFkVnlNO02zWmd2qUQqKaN1O0zaCxSdBoFlM9yV5iMDY7f2wyEIt0CEAeGWKJ0J6EwQmA5h3SZoOOC3/hqU4/oHfHVbr16vs7S0xJEjRzAMg52HH2bHx5/E13Veev0VnnnmmbsaBtYmAG58DQCsH6krkkw2EmepUWWitMhQKsPK6rF2Wo8xlu0hZkT43X/+BWIf3YdfrvOvv/0mQW1zxZNyOoGabQNCAscjMr4NbagTKR5B7+8klCTCsBUu2vQo+zsGqLsOM7VWa6Cmyeiygh14NDybjBHjib4dHFmcZqK0iOW7/MmFH9Edb+NiJY/jewwlMyQ0g0Kzsb598PTKAkeWLhGEIXFFx/JM7MBD8myGk1ls38P0HJAkIpKC7ARousxgKsuvHvok3yx8m+P1HCYhhiTTH297Z4BPoo0gDCjXa8jpBFXfJmuk+MWdj2GoKqeL86zYJt5qLcSRhSniqs5SowKEhH5rONK7A1ZPLMVfeugRZuoljp85RSG3zIk3z+O1Raj1t6FGdT65bQ+93bd+UiMIN0uEAeGW+cUGza+cJDAdcHyCkokylEbb3/dBX9qWq1arzM3NceLkSXY9/3H0wzuIdWZYWFjg7Mw8n7pyjud2HECW786mOFVWkFdPANZeA8A7R+qyJLGvo58Fs8LFSp78uTc4VZyn4dpsb+vk6bH9TExM8PLlCb5bnCalGvzMP/otstr1l9v4YcDR6iJnGwVKbpOCa1HxLBq+gyrJtKtRHClk0a7R8BwSmkFUUVkyqxiKSsqI0HRdnNVtgp4TEFU0nh3azU+P7GO6kud8OUcQhpyvLFNx7fXXBStWY33PwdoK5NcWp1g0KyQ1g6fiPXzxR98gcWg3PiFhGJKJxumSknRJEaYKi+QDMBQFFJk/uXiUKamGqutIoURUUfn0yH46IgkkCQrNOl+/dIJKvYYci+CHIdlInL5EmiWzSlTVW0WXITQ8hz889zrfudLqMJAkidDzib7r5GaNrus82j/KSFcfOSNCRQLP90l3ZBnMdHK4fxRd//CFauHeJcKAcOvcgMByCasWob1aPa0qcJ92E1xPPp/n0qVLPP25n0E+PEamr5sdmR4SvsSZwOPb06foiiY5PLjjrlxPWo8SU3WWzdr6UzJA0Wqsj/x9vHsEx/d4M3eZmdoKpucQVXUe6RhkV3s3UkZiRHVoC1bojqV4ZN8BOqLXH0Z0ojDH7OQcoRylW0lSWFmgWnMIJYm+VDuDiTQNxyZfaGB6Dg3XZsGsIMsy7UaMpudguq1ZAXHVwFzdNnilXuLPp09QtS1UScYJPZquu7roKIImKczXy4yksmSjcS5W8vzeyZd5M3eZpuewq72Xj0UH+fevnWb0sYcpBhaz9RX6wjTdsRS5ZpWS2yQRidGlJ+iNpZivlyk4DRTLRVY13CCg5lg8N7wHgFcXLiLRmhiI3GpLlFdnJEyWcxCGyEhItEYLW77XqtVYbYkIbZdBI3XNhUGKovBo/3Z+aufD/K/Tb3ExUcVzXYZSWf72J57n0MD2uxYsBQFEGBBug9wZJ/aZPYReQFBuYv/wMt5UEfuVaZThg/dti+G1KIpCJBKhfc92KnGDXZle/sa+j3HUS/Kf6nWm84u8fvn8XQsDGyv4156S/TBo3aRojfyNqNr6nICLpWW+OnWMitNkJNWx/mezMTxsZuXtxg6GiKqxbFbJm3Vs36MnlqI/3s5ssEJSi9D0XPwwxPY8QmAgnqbQrOOFPlFJYyjRTs21CAnJmVUc3yOgdbQeAkhgKBopPYLlueStGsvNOs8M7OTo8iyXa0XKjklCi/BUzygjThz72CRDsTZKdQdJkjnQMUA6EuOl6dM0pADfdWmXdD6z/WEiocx/mbqC07QIUzqN0OMbl07SFU3ydP/Y+u9NhxYldDzcMFifJuiHreuUJak1eVE1GE5kaHgOy6tzEPxSnbFY5n1/Lw1d59ee+3leePrZm9odIQh3gggDwi2TFBl1NLv+72HdoTlbwi80CE0X6UNUOyDLMugqke4sniGxr3OQtBFje08/e3IDfGdugsnCIm7g37XVsWsV/Bcref7gzKvvu7VubU7AdLXADxen3jc83Oi6N3YwjKY6OL2yyIrVWH8vf6rQalu0PJe0EaNktxYN9SXSJFSDk8V5FsxKq71Q03myd5Qlq0bVbqLIMoaiIklS60aLRFIz+Hj/Tgp2g/OlHA3XYb5R5nDXNh7uHOJoboavXzqBIss82rMNrrTaZ6OSiirLqKufGYbhevixAo+i08C2HSQ3YLFZxQ48tFBClmRm6yt8c+Y0hqoyWc5h+S4pxSCsN1EkiYbrsNiosDfbT86stsYLoxLVdGRJouHaOL5HRFaw3r7A8F+9ekzwtaZF3miOgyDcDSIMCLfEeXseOR1F6U2CphCUmvgLrV3zkq4gaR+uXer5fJ4zU5NYI2kMOXLVU3RS0ZGRsMNW5f6Njtq3ytrK3Ddzlze1tW6z4eH9bOxgUCSZK7UV5hoVmqtH/aZnM1nOEYbQHWsdj/thgBRC2W6St2r4QUBci7Az3c3ndj7KqeICE6VFHM8DidVD9xBZktiZ7ubXHvkEXzr3BhdLebzAp2o3sXyXgUQ7j3QN8ebyZSqrGwk1QNI1AlqjhVN6lLLdJOJ7JHSDitPEUSVmm1V+74ffojy3SNm3UL2Ahzr7sfDwgoA3cpdW9x1YmK6D7vpIEX11cZLKtmSWTw6Oc7q4AEBc1Xko3U1SjxAQIssSPVKEs0cvrIeQ602LvN7AJ0G4W0QYEG5a6HjYr14iqFrICQNkidD2CJbrSFENbX8vkv7hCgOGYWDEoliOTTTQr6rgVySJ0Pdbs+fD4K5d02bHBa+52fDwbhs7GJAlLtUK1B2LENBlhbQRxQ1Cam6TpBehzYhQdSyavsu2eBt98RRV10KXVZ7uH8MNA/pXi/G64ymeG9rDVybfAiRkqbV8pyfWxli6G0U+ixcGuGGA6bYKCt9dN9EBSPEIDd8lqursy/bx+V1PcrlWZKleIW/ViSgaBAFTtTxhTCaptdMZT9KVSDGQbOdytchEaYnpSp6YqtFmxBhQDV4t1ZBHJCzP5Uq9xJ9ePMbFSg4vCNieaufv7PsxIorG2ZUFfrg4hdpwWnMWVl1vWuTtDHwShK0iwoBw8xQZORUhqFj4uRr4IZKuIHcm0Ma7MA5/+GYMxONxsu3tWM0FlFgEe3XYTBAEOJ7XGooTcst9+rdjs8fMNxse3m1jB4Pp2MzXyjirr0WC1T1BUUVlxW/19o+ksiS0CFkjQdqIktQjqJZCWo9Rs23+05lXmSwvU7IbVJ0mDdfhcrW43pKYjbROWLKROGEYtI77adVLwHvrJh7x4sipGFXfRpIltqc7eaJ3lLeWZ1i2aiBJdMUS1JdXWJFclFQczdBI93bRl0jzwtijTFZy/PH5H1F2mqT1KI/3jPCIE+f3XvoNso8fphQ6XKmXWDAr66ckj3Vv4yO925Gk1oTCN3OXW2MG/HeC4fWmRd7uwCdB2AoiDAg3TVJkYp97GH+pRlBughsgRVTkniRyNvahPPLcvXs36a4O/t2/+H/o2LmNy0sLPNEzSj6f58L8DJKqEFc3V4T3QbvVd9Qbn8TPrCxg+q1AZCjq6msCl4jaWttrrbYVHugYQJMV8s06VadJf7ydnmiKyUqOmmuzJ9tHXNOYKOU4v7r6V5UVNFmh5jQp2yam62CubhtMaEbr6X7Vxlcfs415Yk/tpem7RPQoA/F2vj59nK9MHmWhUSYEYrrOtt076fZcZmoroCh0RpN8YmAXu9q7uVwrEAKm55A2ooy395IoWtgTs+xPdHPCLqLIEj2xNlRJJq62ujbeXZCZlFUC02JiYgLL93h7+RwVu44mJZk+cw4AtWRSqpRueuDTh3FJmPDBE2FAuCWSoaIOt8Nw+wd9KXeFoihkEim6I0nqlsWfv/4DFo+c4OL0NG9rDbK7Rhjr6L1rxYMfhI1P4sfzVwjC1rv9qKqjSBJeGFC0THwC/DCkzYjywtijtEdiV51EfOvyGYqWedVT8u+e+D5v56/gBB4KEm7oc7m2wh+ceZXZWpG666BIMv2J9qsC18ZXH+dLMyjxCAlVJ220Jh5+8/I0BasOgK4oSFKrfiGpR0hoBoaq8XTfGB/t28H/vjLB16dPMFXJt8JHCNPVAtkwDmHIwVQPpqsQUTV+dvsjnFtZ4mRxnnPlJR63R64qyFwb6vTiiy8itydJ/MSjyPEIf/YXJ3Em5wAwxodvaeATbH5RmSBslggDgrBJiqKwL9vHa/UlTlhFjhVOYNk2YTrOoUw3TwzvvO2vMTs7+4EutrqRA50DnFqZ52RhjiAMCMIAy3NIKjqB5+H4rTZCJYQeW8G8NE9Tklh75p30c9d8Sk7XfTTbp+nZaH7rlUulVuNMOMtK2Br5m9AMHu/edlXg2vjq43uWype//zaP/+wvUDTgyNIlLteKAMQ1g+FkhpQRYa5eoe7ayJKMJikEYbj+Tn/JrKIpCnqo4vguxwtX6NJbo4RVSSahG2SMOHuyfXREE8yb5WsWZK4NdSoUCizZdf5H/gJW4PHc5/8+D8VbHThn6vmbGvh0J/48BWGNCAOCsEmRSIQv/IP/932rwg/3396MgdnZWcbHxzHNzT8hblYsFmNiYuK2byB7M30c7hzi6PJMa9iOJKFLCtNvn8IH9KEuJE2luLjEb/zab/NPKvWrfv2NnpKlZAxJVZA0laDW4Ljrs/vHn8JQVLa3dXKg49r1KD2xFOPxDpypBQ4kuzkqVXgzt0TRauCFPrqk0BNv4+GOQb41c5rlZo0gbE0pnKrkKdsmC/UKqiQznMzg+D4Vu0nRajDtlwHwwmB150NrxPCNCjKljMTQ0BALjQpvnK5QsZuMju3gYM8IAObCxZsa+CQId5IIA4JwE263CO96CoUCpmnypS99ifHx8S242paJiQlefPFFCoXCbYcBRZZ5snc7ry1NU2i2brRDepKz3zzCX/vHv8obcgXTdxnfc4B/8r3/+z3vwa/3lPyNwgUavoccghm4NJtNLl6Zoe5YdKfa+Uvb9m6q62E0moZkmmPLs/ihD0gYssaudDf7sn28PH8ex28VfQYSXCjnqDhNSrZJNhJnWzKLGwScLy3h+j5LYR0UmYpn40rvDGhSZJl9HQMEQN6s0RtPsb9j4D0/C5uZFnk/1JoIH24iDAjCLbiTg2LGx8c5ePDgHfnsraDKCmkjRkckTsVpUvSaGLuHKSdU3GaIrmo8NbKLxw4dfs+vvdZTsh8EvHLy+ywXHCQF0nqMWKihIOGvVBnf18ln9zzFT4/u31Rx6oVz52kfHSQTqBRDFUWCJAq5XI4zZYu5lQJl12zNDQglpt0lqp6NIkn0S1FGHZ1Fu061XKHu2TRrPmpXmrfnpmkmdcIgyvG3317f0VD2LECiXY1wKTHNI8me91ynW6xQrK/wvbPHiOSqtGXamaxufuCTINxpIgwIgnBT1p50u2JJdEWlXK8R2TPCpLlCSEhnLMlPDe+77q/d+JR8emWBI7lLmK7DYLKdw13DXKzkqbnQfGOCX/6Ff8gnth+44XV1dHQQi8XWi/aSzz+FPtZPaNpMVxocczykmIE+NoCkaQQNi5XTx5Hb4qidafxyndPfOsJ/P3UJbVsPyZ96AnWwi5mqSezHHuYbr30fv9bkz/7iBJKmEn/mIEo6jl+uE5gWSlscv9bE/IsTePNX131o23qIfWQfcszg9/NlNE3j+V/6RQYzXZsa+CQId5oIA4Jwn7Asi9/5nd/h9ddf59SpU+zevZtPf/rT/ORP/iT9/f13bLHNtUbo9sbamNKjdEaT1AKdyeoJVFkma8R4dnCcfR3XvsFda6fCDxemWGxUSegGz48c4NMj+/jDs6/xZqUKkkS7FtnUdQ4NDa0X7Vm+xx/lTvOjyiIJVWdfvBOfkNfLcyy7DRRJ5nB2iL/55Av82fJ53qot0jZq8Pmf+jx7Ep2cOXuWv/vH/5bhQ/uJDOoMHXqCbj3OvkQn+/9hN/9h/hgn68sYsspgJEVK1am6Nm4Y8Phf/7t8PLPtqmvbuO3xciHHK6/8BalAXW9pFIQPmggDgvAuW93HvRWft7S0xPT0ND/4wQ9QVZWHn36KtuE+jhfnyX/ty/y9X/4VEokEirJ1x83XG6G7v6Ofc+Ulao5FVNUISnV69ATjPUP83I5DVx2Te57HkSNH+OIXv8hXv/tNBp55jPYn9rLSXeFieZmJUo66Y7E328dj3SNkIwnG0t28yQW0wS5O15cJl2c2VZsxNDS0XhdxcSJg8kIdJ/Do7unhqd5RTr7xP9HrDh3RBJ898BTP7jhEZTLK2VNlAiSyg/0cHNnbuu7lMkPJDNu7+/ns2EFG2zrpjCZ5Y+kS8wsWkqqyt2uIkVSW2foKsi2jBiFSNknX2AhLjepVAepRWsHqe0eP8J3f+l2e/1v/Hz82cPsdKIKwFUQYEIRVG4+Zt9rt9oUvLi5y7NgxXj9yhIc/+5N0PrqboiaRX87z6swldk6d5NO7DhGLxbbsmq83QveFscM8s97fXwIJtkfb+fS2fVc96VqWRalU4k+++lVmIj4jv/Acpiqx7DbJrSxwoV7ACVuDhjqjSR5KdwHQbkSpuE30sQG+WbjI2+erNz3L/0DnAK8uXmRiZZGXrkzwysIkhWYNRZLYlsyuH8/3xttIqAY1x+J44QpP9Y1S8Sy0/g50WeHJ3hEe7xld/9w3c5epOTZtRpSf33GQhzsH+MOzr/F6YxrH95lYWeT3T71Mw3Xes4NgY9fDZk88BOFuEGFAEFZtPGbearfbF16tVsnn8xx+/lnantxP19Agg8l2zivnORX4fGvqJJ2RBM/sfmTLrvl6I3QnSov8/I5D7/T3v3zimk+6zWaTXC7H117/Pt3PPUm2vxe5UKTqubh2SDqWICZLBEFIzbU4X15mPNPDlXqZgttETrXCTZseZb5RuqlZ/nszffzc9of5ahgyVS2sDx9qj8T5xOBD66FFkxWykThO4DFdLfAHZ15lIb+I2pUmo0Wueqdvug5LZqX1OUaM9khs/STjjdxlSnaNpucAEg+1d4sdBMJ9Q4QBQdhg4zHzvURRFAzDQN/Wg6sr7Mx08/nxJ3mtoVOpVFgyq5zIXdmyMLBxXfF4ey9po3VTHkt3M1nOM1NbwQ38Gz7pVqtV5ubmaGaiRDsz/MTBJ9AlhT9+4/vMLi7S0zOMrKlUHYui1eDMyjw70128NHuWqucg6SpeGBCEIYQSObO66Vn+iizzE8N7OdA5xMn8HJOVHG8tz2LIKvuyA+unC27gk9Qj6IpCdyzJfL3MitvEK1Q5nOy96qSj7DSxfR9VlpFC+Bdf+AK5N08xo9gYzx4iyCZJRWOM9D/Er+z5qNhBINw37v5WFUEQbpqiKKjRCGq2DUPT1m/QI9197Mr0YFs2s/XWDXorbFxXvLEHPhuJo8kyputc1TP/fprNJsVaha4dI8SiUXZmejDxSRhR2uoedq1B02oSUTVc32emtsKRpWnOlXL4BIRVkwEjxYrdoGw3qDrWehDZrJ5YimeHd/PL4x9hV3ur7e/d/f5eEDCe6eXv7PsxXnzocZ7LjtL4329xMNV7df1D0AoCcgh1s8H52UssN2uovRnkZAw3DDHrDXbGMyRVY/3UALjp6xaEu0mEAUG4D9i2Tdk2yXR30RZPrt+gq9UqVrFC4Lk0XHtTN+jN2LiueOO6Zk1WUGSZIAyvWtcspxNMNAocXZ4h36yt//dms0m+ViHb200yGkORZEzPIRGN0ptIUy9XCBwXCai7FiXL5LtXzlJzm6iSjHX6Ep/p2sm2ZJam59Hw7E0HkXdb62QIwpCJ0iJl26Ro1df3CQwnMwwk2jncPcyueAdB9b2TIFVZwVBU1FCiYZostKtUDwwS7h7Cjip4UkC1VkOxPCzLAm4+QAnCB0G8JhCE+0BPTw8jO7ZzujhJWlPWb9BhGEIQ4HoOjudedYO+HRvXFbv+O0+zbuDjB++M5PWDgDcr8yQ+eYjvFKd463z5qoK5arXKUn6ZWCKGoekgSwRBQCIWJzswyKRVJqUYaHqUvFXnWH4Wx/fwgoCorOLM5mhTI4yl47yxdJmm6+KF/i1/nxu3HL57n8Bm+v3X5iTEVI1iaKIMd5NMpmhrT7PiWciEyIbOd994laEwwuHDh983QAnCvUScDAjCfaC3t5fdD+2iWChSNxvYrovnedi2jWlbeL5PGGx+De6NrN30bN+77gjd0ysLHK0tobQn6dTj9Mba1gv9zpVyxONxMuk0jVod23EgCJFlmaZtkSsWCQhJKzp7Mn0YikrNsWi4NpqskFajBCutU4ZsJI4sgev7uL5/y9/n3kwfz/TvpCeWYr5eZtGs0B9v33S//9rpgh5INF2LEJBlhYhukInEiaEgKTJlAzSttWr53QFKEO5F4mRAEO4DqVSKkd5+8nMLSMkYpy6eJ7yc42tf+xrfuXySh3/xM2zr7d+yGffXGg60cUXv2gjdE/m51sz+xSKf6dhJ58gwf3DmVc6Vlnh9aYqPpjoZ7uqlNnWMeG8nTcdGR6ZqNliuFEgku4mqOrsy3ZwvLxFVNGzf43KtQNSXkGOtokRNVlo31TAgot76LP+t2C1xoHOA755+i6brQRgSCyX6Emm6YymOX5pkVnJoaKAZBiB2EAj3BxEGBOE+IEkS6ViCXX3DLDg2f/yD79A7W8WybfoO7CYejzPW0bulM+5vdKS+3nEAeHN5zjbyFKdWmKkWmW+U+calk2RHDjO+fYzFP5wiaE/wpy+/hG/ZXK4sUZEcnuzuYmffENOVPBFF41D3MHP1EgWrjutZqIOd1D2HulWnbDeRkBhMtN/293k7uyX2ZvoYM9KcDOdAllCQ2NcxwFM9o1w8O4Hj2FQSPsXAek9NgthBINyrRBgQhPuEpmk8t/9R/vPbL3N84QpvFcts376druEehjOdHOwd2dKvd6MVvYtmFdNz0GQFORXjaG2JiJykL5GmZJuUbJOX85f4mZ5dPDm8kyuuz8mlGbymjZOJEWnvoC75TDdL2KFPdyzJ4c5hVqwGCc2gYTtovVn+R+EClRrUXLv1/3QPb+n3ebMUWWY8mqHdhsVciVG1i7+55yOkZJ1kwyf0XWw55H/mJ3m9mbupmgRB+KCIMCAI9wlN0/jbP/1XGHtk3zVHBG/1jPsbHamvdRzISCid7VQ8m71to+zN9uEGPvP1MkXbZCFs8sLHPsV/ff0l3i7N4ycjpDMxEnqEuB7B552Q8XDnAKeK80xpeWTFwa+ZzFtVio5HTNV4omeEvZm+Lf0+b4WmKBhIhA2LNlcma8TJ5XJQbuD5dVKjUcqehWOGVwUoQbhXiTAgCPeRrXjnfbPe70h9rePACwKUdBwZGG/vxVA0VEkmE4kjITHfrPKrn3uBz33uc3xt6m1eWZikbJuokkJSj7A308fzo/vpWv0aa68nGtUqhK16gc5ohP54mh/vf4ijy7N35fu+np2D2xjI9XJ8+gI13yaXy/Hrv/7rnKwtoA208WjXMM/vPIgmKx/odQrCZokwIAj3odt5571V1joOzMBFihposkKbEWXJrOIGAWkjiuv76/31840yxwtXANjfMbBegzBbX6FomethYO31xDeKJeS4gYTE3kwfUVXjB3PnKViN98z838yugq000NXDzq4BUqkUF8p5/tm/+pfM5Jdo2z9MW0eKvR0DPLFhn4Eg3OtEn4sgCLdkrePAJ0ROxfCDANNz1gvm+uJtaIqy3l+/tutgR1snv7Lno/yNPR9hWzJLzqxxZmV+/XPXTj9+unMn5ssneS47ylN9O8hbDXLNGv2J9HtaGO+2trY2fnznPjJGjOXQ4otTbzE/lMToyfLw9oc40DV4169JEG6HOBkQBOGWHegc4CXFQI5FmLGr/Pn0cfwwoDuWZDCR4UqthCxJuL63qV0HG6vts1oUZ2qeXfEOTldX3ndp0gc18//R/u3801/6v65Zv7E7+8HXNQjCzRBhQBDuMRMTE/f05220N9PHY6k+vm3+kIplcmFpjp2xLENhityVeZarRSKmy6nTp7lcmKPuO+RmrnCs2BrVu1LLUauUuWTavOK8QXrDsqO167ZuIUjcDR9E/YYg3CkiDAjCPaKjo4NYLMaLL7645Z8di8Xo6OjY8s9VZJnPjD3Cb/ybL7Dk+Mwtr/DSd35EaFrEP3EItSeLdeIivz05R/xTh5EjOl9++Tju9CIA+tgAsaf3E9Sb/P53fkRQrr/nuvW2BGYpd8OlSR3RxJZ/f5txL9RvCMLtEmFAEO4RQ0NDTExMUCgUtvyzOzo67thq5qGhIf7on/42X51+G9N36XnhrxKEITmnQUrVefbFURKKzp/lz1P3HZ79pV9jT6ITgBO1HC+tTJPRovzsP/itq04G1q6b9gRBcXLTS5MEQbh5IgwIwj1kaGjojt2076RP7j6InIpd9f58X7R7vdq/6bm8fbLB5WqR7uFBDg7vBuDK9AmS/goj7V187MDj1zzqX2hUNrU0SRCEWyfCgCAIt+1G7883u+vgWtZaGJfN2nWXJt0Jd6Le4k7WcAjCrRJhQBCELXO99+e3uj74doLErbqT9Rtw52o4BOFWSWEYhh/0RQiC8OHnBwH/Z+7cNVvxbjQ46ERhji9PvkXNsRhKZtaDRMaI8ws7H7sjrYWzs7N3pH4D7mwNhyDcChEGBEG4q5bM6k234t1OkBAE4cZEGBAE4b5xK0FCEIQbE2FAEARBEB5woh9HEARBEB5wIgwIgiAIwgNOhAFBEARBeMCJMCAIgiAIDzgRBgRBEAThASfCgCAIgiA84EQYEARBEIQHnAgDgiAIgvCAE2FAEARBEB5wIgwIgiAIwgNOhAFBEARBeMCJMCAIgiAIDzgRBgRBEAThASfCgCAIgiA84EQYEARBEIQHnAgDgiAIgvCAE2FAEARBEB5wIgwIgiAIwgNOhAFBEARBeMD9/5DZHikXfoS/AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plot_embedding(Xt)" ] }, + { + "cell_type": "markdown", + "id": "44ff85a2", + "metadata": {}, + "source": [ + "Mathematically, consider a dataset $X \\in \\mathbb{R}^{n \\times d}$. The goal of PCA is to identify a orthogonal linear transformation $U \\in \\mathbb{R}^{d \\times k}$ that minimizes the reconstruction error of the data when projected onto a $k$-dimensional subspace. That is, $$\\min_{U} \\sum_{i=1}^n ||X_i - UU^TX_i||^2$$ subject to $U^TU = I$." + ] + }, { "cell_type": "markdown", "id": "91593bee-5365-4b3e-b77d-4f54001d4cef", @@ -190,21 +154,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "21187783-d358-4b81-8642-ccc5f894fc94", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1083, 2)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from sklearn.manifold import MDS\n", "mds = MDS(n_components=2)\n", @@ -214,21 +167,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "2333a193", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plot_embedding(Xt)" ] @@ -240,34 +182,15 @@ "source": [ "## t-SNE\n", "\n", - "T-distributed stochastic neighbor embedding (t-SNE) is a dimensionality reduction technique that finds a 2D representation of high-dimensional data that converts similarities between data points to joint probabilities and tries to minimize the Kullback-Leibler divergence between the joint probabilities of the low-dimensional embedding and the high-dimensional data." + "T-distributed stochastic neighbor embedding (t-SNE) is a dimensionality reduction technique that finds a 2D representation of high-dimensional data that preserves the local structure of the data. " ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "a119cc24-8edb-416b-a7c2-a4ee29b4305b", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/glouppe/anaconda3/lib/python3.9/site-packages/sklearn/manifold/_t_sne.py:982: FutureWarning: The PCA initialization in TSNE will change to have the standard deviation of PC1 equal to 1e-4 in 1.2. This will ensure better convergence.\n", - " warnings.warn(\n" - ] - }, - { - "data": { - "text/plain": [ - "(1083, 2)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from sklearn.manifold import TSNE\n", "tsne = TSNE(n_components=2, init=\"pca\", learning_rate=\"auto\")\n", @@ -277,21 +200,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "f7d052a1-4521-44c4-9797-c4c5146afec6", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plot_embedding(Xt)" ] @@ -307,7 +219,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "dats0001", "language": "python", "name": "python3" }, @@ -321,7 +233,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.13" + "version": "3.9.18" } }, "nbformat": 4,