{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: Shape analysis of curves with the Square Root Velocity metric" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lead author: Alice Le Brigant.\n", "\n", "In this notebook, we demonstrate how to compute distances between curves in a way that does not depend on parametrization, i.e. that only depends on the shapes of the curves. This is achieved using the Square Root Velocity metric (see [SKJJ2011](#References)) on the space of parametrized curves, and by quotienting out the action of reparametrization through an optimal matching algorithm (see [LAB2017](#References)). We will use the [`discrete_curves.py`](https://github.com/geomstats/geomstats/blob/master/geomstats/geometry/discrete_curves.py) module. Translation and rotation can also be quotiented out using the `align` method of the [`pre-shape.py`](https://github.com/geomstats/geomstats/blob/master/geomstats/geometry/pre_shape.py) module, but we will not deal with these aspects here. See this [usecase](https://github.com/geomstats/geomstats/blob/master/notebooks/usecase_optic_nerve_heads_analysis_in_kendall_shape_space.ipynb) for details on the `pre_shape.py` module, or this [other usecase](https://github.com/geomstats/challenge-iclr-2021/blob/main/Florent-Michel__Shape-Analysis-of-Cancer-Cells/submission_cell_shape_analysis.ipynb) for an application where both modules are used." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working directory: /Volumes/GoogleDrive/My Drive/code/geomstats\n" ] } ], "source": [ "import os\n", "import subprocess\n", "\n", "geomstats_gitroot_path = subprocess.check_output(\n", " [\"git\", \"rev-parse\", \"--show-toplevel\"], universal_newlines=True\n", ")\n", "\n", "os.chdir(geomstats_gitroot_path[:-1])\n", "\n", "print(\"Working directory: \", os.getcwd())" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using autograd backend\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "import geomstats.backend as gs\n", "from geomstats.geometry.euclidean import Euclidean\n", "from geomstats.geometry.discrete_curves import DiscreteCurves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: plane curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a basic example in $\\mathbb R^2$. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r2 = Euclidean(dim=2)\n", "curves_r2 = DiscreteCurves(ambient_manifold=r2)\n", "\n", "parametrized_curve_a = lambda x: gs.transpose(\n", " gs.array([1 + 2 * gs.sin(gs.pi * x), 3 + 2 * gs.cos(gs.pi * x)])\n", ")\n", "parametrized_curve_b = lambda x: gs.transpose(\n", " gs.array([5 * gs.ones(len(x)), 4 * (1 - x) + 1])\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In practice, we work with discrete curves, i.e. sample points from the parametrized curves. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_sampling_points = 20\n", "sampling_points = gs.linspace(0.0, 1.0, n_sampling_points + 1)\n", "curve_a = parametrized_curve_a(sampling_points)\n", "curve_b = parametrized_curve_b(sampling_points)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(curve_a[:, 0], curve_a[:, 1], \"o-b\")\n", "plt.plot(curve_b[:, 0], curve_b[:, 1], \"o-r\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distance between parametrized curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The metric we use to compare parametrized curves is the so-called Square Root Velocity metric, that computes an $L^2$ distance between the velocities of the curves, suitably renormalized to get reparametrization invariance. See [SKJJ2011](#References) for more details." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.924866967405097" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curves_r2.square_root_velocity_metric.dist(point_a=curve_a, point_b=curve_b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distance, as any riemannian distance, is computed as the length of the geodesic." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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ffYYLLrig8l6E2pcQAuXl5RBCVKkfAPB6vdL9mI3J6/VK91NX+6qLY6rOvurimKqzr+ock+5kLARgta+T41hMLXeTFoMZvQA8COBfAcdq1Qxohcy9XvLQIXLDBnL+fHL6dPK998jnniPvuYeMidFeZQB5Ff0eJ7CGwP8ReIvAvQSGE+hJpzOPTqdTp73yio2N5WWXXUa32+13XAjh9z4yMpLt27fn8OHDmZCQYNgnADocDr/PbtSoEYcNG8ZXX32VS5YsYWlpacW90r6+6Oho9u/fn+Hh4ZWfP2jQIL788svcsGGDxj3X7ichIYGtWrUiALpcLp533nn88MMPefz4cYPvT7sv9Xrq16/P5557jocOHZJ4FvS+P7B79+6cPXu25DOl38+AAQO4adMmqX6M+goPD+fOnTul+zHq61RqtHVRW6jOvurimKqzr7+qZiVDTtEAYn3+/xXAOQEy5wL4FoAA0AXAArN+67rPavJkDzduVAhOCO3vAyBjY0vZq9dW9u59P12usCBCCiQp31d6ejrnzp3Lt99+m7feeiv79+/PzMxMU6JSXzk5OZw9ezafeuopXnTRRUxPT/cjo969e/OCCy6gy+UKaut2u+nxeHj8+HFOnz6dN954Ixs1alR5vkmTJrz55pv57bffsrCwkB6Ph2Fh/tcXFhZGj8dDr9fLZcuW8fbbb2d2dnbl5w8bNozffvttJXF6PJ7KH0ogWUdFRXHq1Kn89NNP2aNHDwJgTEwMb7rpJq5fv97y9zdq1KjK+3HeeedxxYoVIT0HI0aMYExMDKOjo/nCCy9ImXG1+goLC6Pb7WZGRoY0ger1BSgm4TVr1kj3Y9TXM888Uy39TJw40VI/en2pz2Z19FVdPp3IyEjbZ6XdWd3xWQFoCGB5xet3APdWHB8LYGzF/wLAqwA2AvgNJv4qVpGsSOVe5OUpRKLlQ7LWlzKJCiGYl5cX9KXpLR6SksixY8nWrdVjHioamWBsbB5vucXD3bu9QROz76tRo0a84YYb+NVXX/Ho0aMkyQMHDvCBBx5gYmKiIVkJIVheXl45Tq/Xy02bNvGDDz7gTTfdxI4dO2oSldFKat26dXzxxRd5zjnnMCIigoDiv2vTpg0dDofppFJeXs6ff/6Z1157baWGmJqayv79+1f25zt+dRyB/SxatIjDhw+n2+2mEILnn38+f/rpJ83vSu/7O378OB9//HEmJCRQCMFhw4bxjz/+0JXXO75lyxYOHDiQANi5c2euXLkypGdqxYoVbNy4MV0uF1944QV6vV7TfrT6euyxx5iamsqUlBQuXbpUqg+tvjIzMxkbG8uGDRtyz549IfeTk5PD5ORkNmjQgIcPH7bUT2BfERERjIqK4v79+y3349uX+ow99dRTVepHfUavvfbakPoJHFOopOfbV3x8PAEwNzc35L48Hg+zsrIIgElJSVUaEz0eMjz8pEZVlb5YBbKqqVdVyao2IbN42L9fCeC46y6ye/eT3x1Aulzaane9evV47rnnVq5y3G43e/fuzSeeeIJLly6tnMyMTFRZWVm8+eab+csvv2iu+o8fP25IlkZmqcLCQn777be8+eabdUnPyHRw4sQJfvbZZ7zkkkssEaYvduzYwQceeIApKSl+BGdlRXjgwAHeeeedjIiIoMPhCLoWmT68Xi89Hg+TkpLodrs5ceJEvvvuu4aLHC0cOnSIgwcPJgBefvnlnDJliuU+SHLt2rXMyclhfHw8f/31V6k2Wpg7dy4jIiLYpUsXFhYWhtzPnDlz6HA4eNVVV4XcB0kuX76cDoeD48ePr1I/e/bsYXh4OEePHl2lfrxeLxs2bMj+/ftXqR+SHD58OFNTU6UXKXp4//33CYCrV6+uUj9HjhwhAD799NNV6ock2auX8qoG2GRVRVjV5E6cIP/3P/LJJ8l27TwE/NVupzOK+fkeLlhAHj16gj/99BPvuOMOtmnTxkcujdHRw3nWWeMYGRkZZJYYO3YsBw8eXOl3Sk9P57hx4zhjxoxK0xtpTHZOp5ODBw/ml19+aRhlaER4qkZoBL32Qgip+19UVMSkpKSQCE/Fn3/+yZiYmCr1sWfPHubn54dMnKSifT722GNV6oNUNL7GjRszLCyMqamplglPxWeffUYhBM844wzm5uaG3M99991HAPz4448ttQvEddddR5fLZdnMGYhrr72WERER3Lt3b5X6ufPOO+l0Orlv374q9fPWW28RANetW1elfubPn08A/PLLL6vUj9frpdvt5l133VWlfkjaZPV3wvvve5iRoZgIo6PzmJLi8dPS+vYlH3iAvPNOMiJiB4F3CQwlcHKCVn1GaWlpfO+99yr7PnLkCG+44QY/O3RcXBxHjx7N77//nu+9956mjfrpp5/mnXfeWenbSUtL4+233665YjMivISEBN511138888/da9fr73D4eBTTz1lGJChoqqEV119kKzU9EIlPZJMTU2tch+vvvpqlQhPhUrAVemnpKSEnTp1YlRUFLOyskImvV27djE2Npbnn3++pXaBWLlyJQHwkUceqVI/ixYtIgC+/fbbVepn1apVBMApU6ZUqZ+DBw9Wm0aUlpZWZe2TpE1Wf3ds305+/DF5881k+/bKPjGVwE6+yggsYHz8I+zevXtlxFxsbCwvvPBCvv7663z++eeDyMjpdFZqXImJiezVq5fu6ru0tJRfffUVL7zwwkoTWbdu3fj222/zyJEjJPWdshMnTuSQIUMqzWvDhw/X9KNotVd9YQCYkZHBV155hcXFxbr3y4gwx48fX6XowYSEBD//nxnqCnFWV2RXbm5utfTzzDPPVJn0SPLxxx8ngCppjCQ5YMAApqen88SJE5bbqvB6vWzQoAEHDBgQch9qP0lJSRw1alSV+iGVhU5V/GgqWrRowSFDhlS5H5us/mE4ckQ/8lAIsqxMWVX997//5ejRow0nb0CJFvz88885bNgwxsXFEQDj4+M5YsQIfvnllywqKgpy3r/66qt8+umn2aJFCwJKVN+oUaM4e/Zsw0CUP/74g+PHj680s/Xp04fTpk3zIwC99r/88ktlBGBeXh7feecdPzOmb3utKK1+/fpRCMH09PTK6EQ9aPWhLgD69OnDrVu3Sn1XevfeSkh5dRBNdWmK1dVPdZHnv//972rRGO+44w6/MYQaSFBdpsDBgwezSZMmVeqDJLt3786ePXtWuZ8zzzyTffv2rXI/Nln9A6EXeQiQ9euTkyaRakyE1+vl6tWrdcnKd6I5ceIEp02bxpEjR1ZG6YWHhwftE1MnBK/Xy7lz5/Laa6+tJKAmTZrw8ccf544dO3SJ5+DBg3zqqacqQ9ibN2/ON99809R57/V6+d1337Fjx44EwGbNmvGjjz4K0nb0PnfBggWVbXv16mUYsafVx5QpUxgTE8P4+Hh+8MEHpt+TXvh2TEwMZ86cadreqI+hQ4dKtSdrPkOJVZKpS6RXnSHajzzySLWQ3tNPP03AOLBJBldffTXT09Or1AdJnn/++Wzbtm2V+7HJ6h8IvcjDG29U/FoA6XKRQ4aQP/xAlpcb+4MefPDBoLDk4uJifvfdd9LBBseOHeO7777Lnj17Vk48eiSnoqSkhAUFBWzfvj0BMDk5mQ888AB37dplqKF5vV5+/vnnbN26NQHw9NNP51dffSUVQVVWVsY333yT9erVo8vl4oQJEyrNmDLYuHEju3XrVkkYBw4cMJQPvI5nnnmGzZo1o8vl4muvvSb1mb595ObmsnPnzgSUPUsy16xHeMnJyZYmRD2N8/3335fug6xbpFddY6lO0nvwwQcrr6MqpPfEE08QQEhbBXxx1VVXMTc3t0p9kLTJ6p8Ko8jDtWvJCROUPV4A2bgxecUVHkZG+v+YwsPD2bZtWwKKb2jMmDFB0VVGEX7Hjh3THNu6desqTYoyk4DX6+XMmTN5wQUXVJKcGdGRCvEUFBRUblTu3Lkzf/zxR9M9cSS5d+9eXnvttZUaxkcffSQdLlxaWspHHnmELpeL2dnZnDFjhlQ7FYcOHeKgQYMIgGPGjDH0wWmhrKyMI0eOJABOmDBBmrB878nDDz/MqKgotmvXzhJZ+/ZTr149Atb3KeltiLY6KdclE2ldJL1bbrmlWkjv1ltvZUxMTEht/WCTlQ09FBWRBQVkjx7Kt+h0ehgVpa7QTz68q1at4nXXXVcZbHHBBRdw1qxZ9Hq9hj6vlJQUPv3005qkFeoksHbtWsuh4yUlJXzrrbcqzYqBG5ONfuxz585lu3btCID9+vXjU089ZUp0KhYuXMimTZtSCMEJEyZY2lNVVlbGu+66iwDYo0cP7t692/C+BKK8vJw33HADAXDs2LGWAj9UTJ8+nU6nk/3797dMmKSyyLj00kvpdDr5v//9z1JbX9Jzu91MSEiwrAFUx8Rel7S86hyPx+MJ2mAfaiaL6thgTNImKxty+P13cvx4MiFB+UabN1dyH/omAdi9ezcfeOABJicnEwA7duwYFO6uPvQTJ05k//79CSjRWM8884xfaLkRyZ1//vmG+2NC/eEXFRVVrvat/NjLysr46quvBu1Tk/mBHzt2jNdff33l+KxODh988AEjIiKYm5vLRx99VJrsSIUs1OCA4cOHawacmGHKlCmV7UPZiHro0CE2atSI2dnZIQcWzJ8/n0II3nTTTZbbBmaRsLrhuLpSOf0dSa9aUy6RNlnZsIbCQqUUSteuyjcbHk4OH07OmaMk9FVkCvnGG2+wadOmBJSw9nr16mlOonPmzOFZZ51VSVrPPvssjx8/rvugX3755YyLi6PL5eKNN96ouRlT74cWHh7OVatWGV5fVX7sqmYWyg+8KnuqFi1apEmyslkzVMd+qBt2H374YQLg3XffLSUfiMWLFzMsLIznnntuSBoeSd5www0UQnDBggUhtfd6vezevTszMzNZVFRkqa0v4YWHhzM1NdXydVTXxF6XSK+6xkLSTrdko2pYvpwcN46MjVW+5datyZdfVup4kYqp6dZbv2R4uBo0EcdBg/6lGbo9e/Zs9uvXj4CSJeP555/nO++8o6kp7N69m9dffz2dTifj4+P5zDPP+O1x0fNpREVF0e128/7779edkPR+YPHx8aaaR1V+4FWdHKpClGTVNux6vV6OHj26UjOxot2peOWVVwiEnmfv0KFDzMjIYLt27ULSEElyxowZBMAXX3wxpPbkyTRFP/74o+W2gVre7bffHlIfdYX0qkvLk8pFZxE2Wf1DcfQoOXky2bGj8m1HRpKjRpEPPuj7jC0gcDkBJ51OF/Pz87lkyZKgvmbNmsW+fftWktYLL7ygG5L++++/VwYaNGzYkJ988kmlKUorSGL37t2Vk3KTJk00AxuM9kh17tzZMDu7EdGZrbT12ubk5Bi2U1HViaGqk1NpaWllVGaohDdkyBAKIZiWlhaSU//jjz8mAD7//PPSbQLRu3dvpqenS2U70UJRURETExOrtAm2qKiI0dHRHDNmTEjtqyOpbV3y51Fvr00oGloFbLKywcWLydGjyeho7ecL2MzY2Fv9NvZOnz6d5eXlfgSTlpZWuWk4IyODL774oq429H//93+VYehnnnkm58+fbzjG77//vjIC8KqrrgoyJWoR3YcffsiEhARGR0dzypQpmv4ZI6I777zzeFBVOTWgFx7eqFEjqbxzVZ0YqmMVnJOTU6UxTJ48uUqbdL1eLwcNGsSwsLCQUzHNmjWLgPWSJr647bbb6HK5qrTP6ZJLLmFGRkbIZlGSHDFiRJWS2no8nkrzcnZ2dkjBFdXiszLKYhAibLKyUYnDh/XISnnG1I29agmBzMzMoFpWUVFRvOeeeyr3XmVmZvKll17SzIoxdepUvvXWW0xLSyMAXnnlldyyZYvu+AoLC3n33XfT5XIxKSmJ7733numPeuvWrezTpw8B8KKLLtIkES2ie+WVV+hyudi4cWP+9ttvuv0Hth0/fjzDw8PZrFkz08KMemR38cUXG7ZTURfMPtUxhueffz5k7U7FWWedxdjYWObk5IREeGvWrCEATpo0SbpNIKZOnUoApgsvI7z++usEwD/++CPkPr788ssqjcPj8VSaqOvVqxdacIWtWdmoaeg9Y76JD0pKSujxeHQLSKoT1YwZMyrTJSUkJATJqxPSkSNHeO+99zIiIoIRERG85557DPcBrVixgl27diUA9u3b1zRbdXl5OZ9++mm63W6mp6fzu+++k7oXs2fPZnp6OqOjo/mf//xHqo3aLiEhgenp6aZ1pQI3/6r3S2bS1CM7K6aouqDdVQfhTZw4scqE16dPH+bl5UkV0tTC/v376XQ6ec8994TUniSXLl1KACwoKAi5DzUxblVCzsvLyymE4P333x9aB7bPykZNQ+sZA5TsGA8+qEQWqpCZqLxeL3/66afK/VxGE9KWLVsq/VOpqal88803OXXqVE3nf3l5OV9//XXGx8czPDycjzzyiOm+oWXLlrFly5YEwJtvvlmqTtP27dsrifH222+XDgT4/fffmZOTw9jYWEuO+7Kyssp78OSTT5rKB5Jdy5Yt6Xa7+fPPP0t9XlXDuOuCdldd47jxxhsrP9eqZqaiT58+bNmypeV2KkpLSxkdHc0bb7wx5D6KiooohOCDDz4Ych8kWa9evSqNw44GtFHjCMyU8dJL5OWXK09FgwbkV18pcnoTREJCQlANLCsT0oIFC9i9e/fK80ar5R07dvDSSy8lALZo0YL333+/YWRbYWEhx48fTwBs2bKlVEXd4uJijh07loCyiVi2DtK2bdvYunVrut1uqbyCKkpLS3nFFVcQAJ999lnpdqRiqm3RogUTEhKki/D5El5kZCSdTicXL14s3VbL51fbTv2qEl51+WpeeOEFAjAM6jFDnz59WNV5MC8vj/n5+VXqo1GjRrzyyiur1Ie9z8rGKcGMGWTLlsrTce655LPP6gcnnH766X4Tnt6ElJSUpOl38nq9lRuVZSaxadOmaRZh1JtwvvvuO6anp9PtdvOpp57i+++/bxq+PWXKFIaHhzM3N5eLFi2SumcHDx6s9N9ZCQAoLS2tJGGrYdl//PEHU1NTQypLv2/fPmZnZ7NRo0bS2SV8yU5NufX9999Lf6Ze1vzaJLzqioLz9b+Fqp3dc889dLlcIUc3kmS/fv3YuXPnkNuTZMeOHTlw4MAq9WGTlY1ThpIS8tlnlX1aYWHkhRd6mJPjP8l/9tlnTE9Pp9Pp5B133MHCwkLNCUlNkXTJJZdoZkKwulq2Gtm2d+9eXnTRRX5jMSO5hQsXMicnp7I0uhnBkYpZZsiQIQTA2267TTparKSkhBdffDEB8JVXXpFqo2LevHkhl6WfM2cOnU4nL7vsMstRaUVFRWzatCkbNGigm0dSC4H7layGkVdVM6oOU2R1aWdff/01AXDWrFmW2vli7NixTExMDLk9Sfbv37/KhGeTlY1Tjh07yPx8VpqjP/vsZDYMkjxw4ACvueYaAsr+qJkzZ2pGAz755JN0u93MyMgIWo3rrXaTk5M1xxTKhKMWvrNCcnv27KkM0ZedmMrKynjTTTcRALt27SqddaK4uJiDBw8mAL7xxhu6clr49NNPKYTgpZdeajmcWs3e/frrr1tqR5IzZ84koCTcDQUXXnghY2NjLWuFHo+nslik1fRJ1aFZVZd2pkYEVkU7U4td7vfNrWYRl19+OZs2bRpye5I2WdmoO5g1izztNOWJ6d9fyf7uix9//JENGzYkoCRf1TItLVmypHLyv+WWWyr3ZhlpY+PHjw8KqNCbLOLi4gwn61BILpQKul6vl5dffrklkiMVwjrvvPMIgNdcc42UNqdCrZN05513GsoFory8nAMHDmR4eLiUXy8Qo0ePpsPh4MKFCy23Xb16NZ1OJ2+++WbLbUnyjTfeIADpIBNSv2K1FaKoS9rZF198QQAhp7Iiyeuvv153YSgNm6xs1CWUlpIvvkjGxZFuN3nXXaSvBejYsWO87bbb6HA4mJ2dzWnTpgX1UVhYWKl5tGrVisuXLycZvI/p3XffrQyQ6Nq1K7dt21bZh9YP3eVyVZoa9cxSoayIQ52YQl19nzhxgm3atLFMdF6vl2PGjCGg5Hu0Eum2Z88eZmZmskmTJpZKipCKry4jI4Onn356ULCNDEaPHk23282NGzdabltYWMjk5GSed955ltoFmiIHDRpkqX1d0s6efPLJKmtn99xzD51OZ8gblEnaZGWjbmLXLvKqq5SnJzub/M9//E2D8+fPr8xaMXToUE0zzzfffMP09HSGhYXx2Wef1dWIPv74Y8bExDA5OdnPfKi1wfe5556jEILt27fnn3/+GdSX3n4lI5+N3qRilmqpKqvvULNNTJ061VIJFV/MmjWLDofDkulSxWeffUYAfPzxx01lA7F9+3ZGRkZaqo7siwceeIAApCMiA3HBBRcwIyPD0p6r6tCK6pJ2ppoSq1TI0SYrG3UZ//sf2bat8hT160f6Jk0vLi7mQw89RLfbzaSkJBYUFAQRwp49eyr9NH379vXTnnyxZs0atmrVikIIPvTQQ4amvmnTpjEmJoaZmZmakXyB+5XUvVV6hQ71CK5Vq1aGAQ16JCdTlbW2tTkValRiKJPfxRdfTKfTyczMTMv7l+69914CkI689MXu3bsrg2BCwSeffELAWlQj6Z/jD7CeEaMuaWdqodIqFXK0ycpGXUdZGfnqq0otLZeL/Ne/SF9L0sqVKytLtZ977rlBWd29Xi/ffvttRkdHMyEhQTeDxLFjxzhs2DAC4IABAwz3QK1YsYJ5eXmMjIzkp59+ajh+30KHI0eO1NwMHKjFjR49mkIInnPOObo5EfVI7vzzzzccDxn6JFTV1Xoo/jkVL7/8cshEd+jQISYlJbFfv34hmaKuvfZaRkREWA7UIJWoxvj4eA4fPtxyW1LZ/xeKVlmXtLPAjfwh5Qi0ycrGXwV79pDXXKM8URkZSnmS3Fxlw3FubhmHDXueUVFRjI2N5WuvvRakHa1bt46dOnUioBQL1DJJeL1evvHGGwwLC2NOTg7nzZunO57du3dXak2PPvqo4STo9Xor0/gMHjxYqmbS5MmTKwnYtwSKLwK1ODVj/auvvmrYt94G3Pfff9+wXVVX2lWZ/Kr62eom29TUVMsrfDXt0EMPPSQlH4hrr72W0dHRlkLwfdG2bVv27t3bcjtf7cxqkAdZt7Qzm6xs/OUwbx5Zv77yZPm+oqLI5577o7KYY48ePbh27dqgCf2iiy6iw+Fg/fr1OXv2bM3PWLRoEevXr0+3282XX35Zl4iKiooqUxoNGzZMl1RUvPTSSwTAXr16Sdnv1dDjwYMHS5WOLy0t5fnnn08hBD///HNDWd/7ombXfvjhh03baGlzEydONB0bWbWJq6qr/HfffbdKWd0HDRrE1NRUy8UZyZPZ3EPNsXfXXXfR5XJZDk5Rcd111zExMdGyVllXtDM73ZKNvyxyc4PJSn2OvV4v33nnHSYkJNDpdGomvZ04cSIbNmxIh8PBe+65R5MI9u/fz3PPPZcAeMUVV/Do0aOaY/F6vXz00UcJgN26dePu3bsNx+7xeOhyudi+fXtTWfKk+eviiy+WioY7duwYO3XqxIiICP7666+m8uo1DB8+nEIIzQjLwPGrJJeTk8Pk5GQ2aNBAinyrkmGiqiv0qra/++67/dpYmbDLy8uZm5vLAQMGSLfxhbrf7Isvvgip/ZtvvkkAIUVEejyeygwwGRkZta+d2YlsbfyVIVPiZseOHYyMjNT9oRw5coRXX301AbBDhw58+umng6L/ysvL+dhjj9HhcLB58+b8/fffdcf0ySefMDIykvXr1zcsBUKS06dPZ2RkJJs0acLNmzebXq+aeueyyy6TSoC7Z88eNm7cmElJSVwbuGFNB4WFhWzXrh3j4+NNs8/7Ys6cOXQ4HLzqqquk5APDus8880zpdlVJpVSVFX51aBj33HMPHQ4Hd+zYId1GRXFxMWNjYzl27FjLbUly8eLFBGAp478v5s2bRwD8+uuvLbf1eDxBv0NL984uEWLjrwy95zciQqmlpUJmgvrvf//L6OjoIBnfH9RPP/3E1NRURkdHc9y4cUGkpmLhwoXMyMhgbGwsp0+fbngNs2fPZnx8PLOysgxJUIW6KffKK6+UCoPesGEDU1JS2KBBA+lCgJs2bWJSUhJbtWqlq0lq4f777ycAfvzxx9JtSPK+++4jAP70009S8oFE169fP+nPqsoKvzr8Lk899VTImhmpZOOoX79+SAEixcXFDA8P5+233265LaksfgDruSVVeDye0K/dLr5o468MLctAWJjy/LZsSarWDtlJRi0CaSS3fft2Nm3a1JDUSCVDert27ehwOJifn2+4p2j58uVMT09nYmKiYTCHiscee4yAEiAiQ1jz589nVFQUO3ToIE0+P/zwAx0Oh6V8fiUlJezUqRPr1aunuz1AC4WFhWzUqBGbNm1q6u8LxI033kin08k1a9ZIyVdFO6oLmdhV/6Xs9QaiU6dOIQVpkIqZOCYmhuPHjw+pPUkmJSVx3Lhx1hvampWNvzoCy494PORPP5H16pFJSeTMmfoBAaNGjfLrS3Yykg29PnbsGDt27GhKbKSiATVs2JDR0dG88847dbU2FQ8//HDlNcjk6fv666/pcDh4zjnnSGeAULMWPPXUU1LypBJtGRUVxX79+lnKH/j9998TgOWaSbt372ZMTAwvueQS6TaBe5fMAkpUnGp/GVn1LOzjxo1jbGys5dyOKtq0aSO1LUIPjRs3Dm1jtu2zsvF3xbp1ZLNmyp6syZODAwJOP/10AuD9999fqTnoTSaBG2ytrLCt7CnasWNHZflvmdW3anbr06ePVDaIt956iwB49dVXS2lLXq+Xl156KR0OB3/44QdT+cDPsVo7a+jQoQwLC5P2r6l48MEHCYBz58611O7w4cOMj4+Xzshe1cKSdUEze+edd6qkmV144YVs1apVSG3JKpYJsaMBbfxdcfCgkgwXIG+5RdlYrKK0tLQyi/uoUaNYUlKiq4G1a9fOL1RZj9S0UiNZnaC0yEqP3LxeLy+44AJpciNPEtzFF19sqr2R5NGjR9m6dWsmJiZy06ZNuvc6cFyDBw9mWFgYly1bJtWGJHfu3Mn4+Hj27dvXkk/m6NGjTE1NZc+ePS37cu6++24KIaSLG/ouesLCwpidnS39mXVBM1Oz34eqmd12222MjIwMOb/f2WefzS5duoTUlqS9z8rG3xelpeTNNytP4DnnkIcOnTznu0n3nHPO4dGjR4OySIwcOZKA4sRXN3Pqkdrpp58e5HOR1dZUWCU3q9kgvF4ve/ToYYng1q9fz/j4eObl5TEnJ0dqM+2ePXuYnp7OVq1aWdqTpPpkzDYmB+LVV18lANOQ+0Ds3LmT4eHhHDNmjKV25MlQcBk/I3lqIxn1Pt+qZqZuoZAN1gnEpZdeyubNm4fUlmTdIisATgBLAUzTONcbwGEAyypeD5j1Z5OVDZJ8803FJNiiBblhg/+5yZMn0+l0skOHDty1a1dQ23fffZcOh4NnnnkmD1WwXSCpqeHvF1xwgd9+LT1iu/zyyzXHaXX1XFvlSCZMmGCJ4Ejy22+/JQDGxsZKZ4soLy9nly5dmJKSYql2UklJCRs3bszWrVtbShZLKhnZw8PDNb97Ixw+fJhRUVG87rrrpNsERjJaSb9UFzSz6dOnEwD/97//SbfxxejRo5mWlhZSW5J1jqxuA/CBAVkFHTd62WRlQ8WMGWRiovIKLE00bdo0RkVFsUGDBpo+k08++YRut5vt27fXzRf4yiuvEFDKh/jug9JLavvvf/87qA8tchNCcMqUKZqfGcoEFArBhfI56sZnqyv55cuXUwjBmJgYSymRPv74YwLgu+++ayrri7Vr11IIwXvuucdSO5IcOXIkY2JiLIX4q2jZsiX79OkjLV8XqhdXNfT+jjvuYHh4uKU2fqgrZAUgG8BPAPraZGWjJrB+vaJduVzkW2/5n5s/fz6Tk5OZlJSk6ayfPn06IyIi2KpVK91Nnc899xwBJduF3gq/uLiYZ599Np1Op6bZypfcUlNTCYAXXnihZgSXHrlpEaGKukxw6jWFQnJer5dnnHEGc3JyLKdDuvjii5mQkGA5ldHs2bMJgO+8846ldqSSBd7hcBgmSw5EYCSj0fcciKpqVtVhRnz88ccJwLCSgCHqEFl9CqCDHilVHN8PYDmAbwG00ulnNIBFABbJlEqw8c/CoUOK/wogx49X/Foq1q9fz0aNGjEyMpJfffVVUNsZM2YwOjqajRs31s06oYZ8G+2DOnLkCDt06MDIyEjTdEhq8tW7775b87wvuaWkpBCAoWlKa9IJCwsznHRqi+BC/SwVM2bMIAAmJCRY0srU7AxWIxi9Xi+bNWvGbt26WWpHKrknQyW6r776igA4a9Ys6TZVJZvqMCOqPslQMniQrBtkBeA8AK/RQIMCEAcgpuL/QQDWm/Vra1Y2tFBaqkQIAuSAAf6BF7t372bHjh3pcDj4xhtvBLWdO3cu4+PjmZOTo5uS6JFHHiGglI3X29Oye/duNm7cmImJiVzlW6QrAF6vl6NHjyYATp061fTa7rrrLlNzWGBUW2RkpOFGXq2JLjw8vNoJjqx6SqRQC0M2b96cTqfTcjZ21TRm9B1qwev1Mjc3N6R9SwcPHqysu2YFHo+nsuhmXFxcrSej/eijjwhAKluLJuoIWT0O4E8AmwHsAlAIwGPSZjOAZCMZm6xsGGHyZMUk2Ly5YiJUcfToUQ4aNIiA/14sFUuWLGFycjLT0tJ0cwCq1WXHjh2rG+r7xx9/MD09nTk5OYZkUVJSwt69ezMsLMzUuV1aWsrevXszMjKSK1asMJQlFW0yOjradCOvL8G53W4mJCQYJq7VK0FiNkFWZQVfFdNjqPWWdu3aRZfLxQkTJpjKBmL8+PEMDw8PyefVrl07Sz4vX7Rq1YrnnXeepTbVoVndcccdlQQXis+rTpAV/UlIT7NKByAq/u8EYKv6Xu9lk5UNM8ycqWS7qFdPCcJQobUXyxerVq1iZmYmExMTuXDhwqB+vV5vpZZz88036xLW0qVLGRsby5YtWxpGwO3bt4+NGzdmSkqKaeLbnTt3Mj09nU2aNJHKhK5u5H3uuedMZUnFvyeEME2d40twCQkJBMAZvjdZp41VM6WKU1X9WNXErU7CaiZ1q/kUSfLWW29lRESE5RRVJHnllVdq7gs0QlXNiB6PhxERESG3J1m3yQrAWABjK/6/EcDvUHxW8wB0M+vLJisbMti4Uckn6HKRo0adTOGUm+vlRRdNJHByL5Z/u42sX78+Y2NjNetieb1e3nbbbQT0S9qTiq8lLCyMZ555Jo8fP647ztWrVzM+Pp6nnXaaaTDArFmz6HQ6OWTIENNNnOoG4/DwcNNs8SrGjx9PIYR0GHNhYSHz8vJ4+umnm4aXB5opExMTpSblU2V6DFUrKysrY0pKSkgpiL744gsC4C+//GK5repXtbI9gFSuNTExkQCYlZVliWiqQzOrc2RVnS+brGzI4vBh8vTTlafV9xUVRV5zzVt0OByae7G2bdvGZs2aMSoqSjMtkdfr5Y033khACZLQI45PPvmEQgief/75hiVA/u///o9Op5MXXHCB6aSv+lOef/550+vfvXs3U1NT2aZNGyliOHLkCHNyctiqVSupopAk+Z///IcA+FZgKKYB1LyBZpWPydBX/6fC9KiiV69eFEJY1sr2799PIYR0bkNffPfddwTAnwP3cEhA3T83Z84cS+2q7POy0y3ZsHESRgUdv/76a0ZGRjI5OZmZmZl+k8vu3bvZpk0bhoWF8csvvwzq1+v1csyYMQSMk7WqmRiuueYaQ21IzSRwxx13GF6PmvrI5XJJaUDTpk0jAOkyEqr8I488IiXv9XrZvXt3pqSkVG6wlm2TmZkpFZIeuPFWxpdUlewSp0orI5VS93379pWS9cXOnTsJgC+88ILltqtWrSIAFhQUWGpXJVK3E9nasOEPs7I5atJUrcll//797NSpE51OJ2+44YbKCVMltPLyco4aNYoAOGnSJN0xqPn77r33Xl0Zr9fL66+/noD5XpuDBw+yYcOGzMrK4p49e0zvwZgxYyiEkF51X3bZZQwLC5NOjrpo0SIKIUyJ1hdqSLqVWkolJSXMzs6WnswDSU62kOSp1MrGjx/PyMjIkPxWqampQZUHZHDs2DEC4GOPPWapXZV8XnaJEBs2/KH3m1C365lNLkeOHGGzZs10Ca2srIzDhg0joGwcDiQ0UiGi6667jgD40ksv6Y61pKSE/fr1o9vt1vSX+WLJkiUMDw/nWWedZWo6PHbsGJs0acKcnBwePHjQ9J7t3LmTCQkJ7NWrl3TpiZEjRzIsLIwbAnNfGaB3795MT0839OkFQjWDLl26VLqN1+vl6aefzvbt20vJn8oaWbfcckulvNXourPPPlv6GgORlJQUUsVi360FlsZrF1+0YcMfWtYGgFSrSMhMLuo+Fj1CKy0tZZcuXXQJTZUZPHgwATA5OVl3Mjpw4ACbNGnC5ORkPv/885rkp2Ly5MkEwAceeMD0PsyfP59Op5P5+flS903t++2335aS3759O6Ojo3nxxRdLyZPkL7/8QsDaxt2DBw8yJibGUg4+knzppZcskVxgZok333xTql1VNKuqlor/17/+xfDwcEP/qB7at28fcqmPxo0b84orrrDWyNasbNgIhm9Bx9xc8swzlSf4/fflsqjLEJpMMtl33nlHaoPrmjVrGBkZGfS5gbJer5dXXXUVATA1NdV0Nf7QQw8RAD/66CPTe1ZeXs6ePXsyISFBOiP3o48+SsCak//ss89mSkpKZQZ8GYwfP54ul4t//vmndJv9+/czPDycN954o3Qbkly4cKGUaVZFVbSyqpoQ33//fQLgypUrpeR9ceGFF7Jly5aW25Fkhw4drBOd7bOyYcMcxcVknz6k203efbd2FvVevXqZFnH0nURkCM3KZKTmEDSTfeedd0xJTYWqAUZGRjIrK8uU3NasWcOwsDDdjPKBKCwsZG5urlQou4pff/2VAPjkk09KyZPKxmuHw8G77rpLug1JXnHFFaxXr56lPINer5d5eXk899xzpdv4amURERG1lphWzdNn2SRHZQEQExMTUl2rvn37hpSeyo4GtGFDAgcPkq1akXFx5BNP+JcHUQsgqpFVMpkbqovQrMpaXY0/++yzQbJGK/+HH36YAJiSkiLlR1HT70yePFlXJhADBw5kUlKSpaSzQ4YMYUJCgqVMET/88AMB8IMPPpBuQyrlVNxut3S0o4qbb76ZkZGR0uRYVRNiVTb4qs+F1X1apJI0OORqw/Y+Kxs2zLFlC5mZSWZnk74WpfLycg4ePJgOh4PfffcdSf/Isnr16gVpA1qThcvlskxoVmWtrsatTojvvvuutOZGKppIt27dGBsbK13YccGCBQTARx99VFcmEKpG9vLLL0u3KS8vZ/369dmvXz/pNqSSOxKwXkDy66+/JgD+9NNPUvKn0oT46aefEgCXLFkiJe+LUaNGMTs723I7kjZZ2bAhi6VLyZgYZfOwbxajo0ePsk2bNoyPj+fq1av92ni9Xl522WV0OBx+E5EvocXExBBAJdmp57VMjk899VTQuGQnLquTVE2TG3lSG7My6Z5//vmMjIyUJjiS7Nq1Kxs1amSpOKPqt/vjjz+k25SXlzM7O5uDBw+WbkMqkaQul4t33nmndBuPx1Pp/4yJiak1E6Lqm/viiy+kx6rilltuYWxsrOV2JG2ysmHDCr77jnQ6yf79Sd90gZs3b2ZKSgobN24cZB45cuQIW7RowZSUFM2EtYWFhWzdujVTU1P9AhR8CS0rK4vR0dE844wzNCO4AiPStEq1W00uW9PkFspnkCeDM6wQ3CeffEIA/Pzzz3VlArFlyxYKIXj//fdLtyFPJqi1Wh+rZ8+eIYWTDxgwgKeddpq0fFU1q9dee82vjRV/18SJEwnAckVnkjZZ2bBhFVOmKE/1qFGkr4959uzZdLvd7NevX1Di29WrVzMmJoadO3fW3MS5cuVKRkZG8qyzztLdr6RWwzVKsVNeXs6uXbsyKSlJcxOwLwHGxcURgO4+LauZHUKZBGuL4EpLS5mcnMzw8HBL+5IGDBjA7OxsS5OrWpTxww8/lG5DKqVlhBBSm7d98cADD9DhcEj75KpiQqyqv0stUCqzhy8INlnZsGEdDzygPNmBJYXeeecdAtAMe1Zt/XrZytXs548//rju5w4dOpQul4uLFi3Slfn999/pdrtN90kdO3aMOTk5bNu2re5k7EtuQgh26dJFt79Q0hbVFsF5PB663W7Lk6yqkcmE+6soLy9nRkYGL7nkEkO5QKhFIK2S3PTp0wmAM2fOlG7j8XiYmZlJAExKSqq1IoxTpkwhANPKAZqwycqGDevwesmrrlKe7sBtNRMmTCAAvv7660Ht/vWvfxHQLqSo+recTqduBeH9+/czIyODLVu2NIwcU+tpffvtt4bXoSaXfe211wzlSPKee+4hAM2SKCoC0xYNGDDAsM9QVuqhTJihTrLvvvuuZZMjSd5www2MjIy0tCesrKyMCQkJvPrqq6XbkOTevXsJWAvpJ5UsKC6XS7cKtRaq6u+6+eabK+WtmhBtsrJhI0QUF5NnnaWUFvn++5PHy8rKOHDgQLpcrqD6Tb7FEZctWxbU56FDh1i/fn3m5eXpmkrUzNf/+te/dMd24sQJNm/enHl5eYbmIa/Xyz59+jAxMZH79u0zvN5Dhw4xOTmZffv2ldpjc/XVVzMiIsK0jLmvv83hcBhWOVblrRJcbde6uvfee0OalC+55BLm5ORY3sPUqFEjSxlBVDRv3pwXXnihtHxVQ+arkrjXJisbNqqAQ4fI004jY2NJX+45dOgQW7RowcTExKAceLt27WJmZiYbNmzIAwcOBPU5d+5culwuXnrppbqTlppwdtasWbpjU30nt956q+E1/Pbbb3Q6nZpBGYF48cUXpTQ2Uqn35XQ6ecstt5jKkkr5E0AuA4RvifaaLAMSqskxVL/OG2+8QQDSiYFVDB06lFlZWZbakORFF13E5s2bS8ufypB5m6xs2Kgitm0js7KUl2+w3/r165mYmMgWLVoEVez99ddf6Xa7ed5552kGVDzxxBME9PPMHT16lA0bNmSDBg0Mo87Gjh1Lh8PBBQsWGF6DWkxx8eLFhnLFxcVs2LAh27RpIxV0MHLkSCntilS0vNNOO42tW7eW1ixuueUWulyuoDpjgajNWldVmZQ3btxIwDiJsRZeeOEFArCUVopUTLsulysoIMgIHo+ncv9gdnZ2rYXM22Rlw0Y1YPlyJcNF69aKtqVixowZdLlcHDRoUNDkrtal0qoHVV5ezrPPPpsRERG6+dtmz55NIQRHjx6tO65Dhw4xMzOTp59+uuGEdPDgQaakpLBbt26mRPHhhx8SgKm5jlQI2+l0mmp3KlQfke+eMyOsXr2agHFQiorA8P6aKuhY1RpXLperktxkiUDdjPzf//5XSl6FmiNw1apVltp99tlnBGC6uPGFrVnZZGWjjuCHHxT/Vb9+ij9Lxeuvv67pY/J6vczPz6cQQnNy3rVrF9PS0tiqVSvd0hi33347AXD69Om641InFrMJXY3U0gr+8EV5eTk7duzInJwcqfRAV111FSMjI6WS3BYXFzMzM5Nnn322qayK3r17s0GDBtIlSn7//XcC8vWxPB4P09LSCChZ8GvK5FgVE1tRURHdbrelOmHkyQ2+n332maV2auTiV199Jd2mSpni7dyANmxUL959V3niR4zw34N1ww03aPpjjh07xtNOO42JiYnctGlTUH+qH0fPn1RUVMTWrVszIyPDMFfbxRdfzIiICK5fv15Xpry8nJ06dWJ6enqQ2TIQakFErYwagVi3bh0dDgdvu+02U1nyZJJVrQAULaianqw2RpLt2rXjGWecIS1fVlbGtLQ0qUS9tWly9EWDBg0s7yM7evQoAeOCoFrYtm0bAe2IVyN4PB6/65ImKjvrug0b1Y+HHlKe+gsv9C03UsJWrfoxLCyMc+bM8ZNfv3494+Pj2aFDB01N5c477yQAfvzxx5qft2TJErpcLsM6Qdu3b2d8fDz79OljaOabP3++phaohYEDBzIhIUEqoenw4cMZGRlp6lsilTpd0dHRHDFihKksqUQ+pqSkWIpqU5OxWglkuO666xgbGytVmTcUk2N1mQ+tai05OTkcNmyYqZwvSktL6XA4eN9991lqR5JxcXEcP368fAO7npUNGzUDr1cxrQf+tiIj9zMtrTFjY2ODym58+eWXBMBrr702qL+SkhJ27tyZ8fHxmtoXeTIFkVH9KTXSbMqUKYbjv+aaa+hyuUz9GMuXL6cQQorY1q5dS4fDISVLKvtx3G63dMDAHXfcQafTKS2/fft2OhwOS6mU1M2333zzjXSbRYsWEZBLbFsVzaoqbc8++2yGMldmZGRw1KhRlttlZ2db20tmVwq2YaPmkJur/ftKSHgqaEJRV8DqptvExMQgU84ff/zBuLg4NmrUiLm5uUHnS0tL2blzZyYmJupG3pWXl7NHjx6sV6+eoYaze/duxsfH8+yzzzYNthg5ciTDw8O5ZcsW03sybNgwRkZGcvfu3aayah0q2cSuGzZsIAA+FJhSxABnn302GzRoIB15WFRUxJiYGMOAlkCUl5czMTGRV111lalsVXxWVdHKbr75ZkZHR1ve29WxY0f279/fUhuSbNGiBYeo5bdlYGtWNmzUHPQWg4D+Cnjq1KmG1YFvuukmXaIjlQKIbrebERERun6L1atXMywsjF26dKnMNKElp+6nMnO8b926lREREVImuzVr1tDhcPD222+XuoeXXnqppTpU/fv3Z3Z2tnSp9vfee48A+L///U9KniQvu+wypqWlSQdzkMp1ZGZmSpFBoPnw+eefl/qMqmhWo0aNqiQ2KxGIgwcPDqk2VadOnUwzm/jB9lnZsFFz0FsMAvorYLMJx+y8bP67Sy65xJD0SEVTy87OptPpNJ3E7rjjDgohpAIirrzySkZFRUkla1UjzmSj9v773//SSoTakSNHGBkZyeuvv15KniQ/+OADAtBNh6UFNeejlfDwJUuWEJAv/hiqVlaVrBLjxo1jvXr1pMbni7POOst6tWA7GtCGjZqB1mIwIoJMStInHDNTjtl52dW1WgPJSM7KJHbgwAFGRUUZanQqVq1aRQCMi4uTWsl3796d9evXl9KWSkpKmJGRwUGDBpnKqrjiiiuYmJjIYt+9BgY4dOiQ5RDxP/74wxLpkspiISoqijfddJN0G4/Hw+joaAJgbm5ujWeVmDRpEgGwsLBQeoykkjWjdevWltqQtPdZ2bBRU/B4TkYDCkE2a0a+/37wCtjtdgeZf0LRrGT9FjJyViYxKxnNPR4PnU6n9Er+888/J6Dsb5Iht/vuu49CCN1AlEBMmzaNAPjll19KyZOKubFJkyaWfDyNGjXi+eefLy1Pkr169WLHjh0ttVEzWcjsaSOr5usaPXq0n1VA1nw4YsQI+Y3AvrDJyoaNmsfkycov4e23/TOTR0ZGMjw8nNu3bzctd29WgkOWYGTkrExiVojN6kp+6tSpQWMxIrctW7ZY0txKSkqYnJzMSy+9VFcmEGrxwd9//126zZgxYxgbG2sprdFdd91Fl8tlSXP56aefCIDf+2ZWNkBVNjCHaj684YYbmJiYKDU+P9hkZcNGzaO8nOzRg6xXj/QNhtu4cSPDw8M5dOhQksHl7oUQfpNiYAkO30nWjOyM5AInGiuTmBVis7qStzqZWtXcSCUq0IqG8OeffxKwtpFWrWUWuMfOCOp2hl9++UW6zZ49ewiAzzzzjJT8qdjAfPfdd9PtdluOPrTJyoaNWsKqVWRYGHnllf7H1dpTgeVE9u7dy/j4eJ5zzjma/V1wwQWMi4vzK+0RSHYOh0Oz0J2v2dHpdAbl+dOaxFRzZSBqUrOqDXKLiIiwPFl37tzZUgaM/fv3UwjBiRMnSrfZvXs3Aet1qtLT06VC5VV4PB7GxsYSkPd1VcV8+NhjjxGAVKouP9hkZcNG7WHiROUX4ZsZqLCwkPXr12fLli2DzERqpgWtkhwrV66kw+HghAkTND9r69atDAsLM9wX9N133xEA33777aBzvsQXFhbG1NRUzZBtKxWCra7k6xq5qbjsssssaWMkecYZZ/DMM880lfNFo0aNLGXmIBWfWrt27Sy1eeWVVwjI+7qqYj4MJWM7SZusbNioTZw4oQRaNGhA+uam/eKLLwiAzz77rJ98cXExGzduzJYtW2pGxJltyh03bhxdLpduGXGv18t27dqxadOmhiU/PvroIwL6YeGB5slrrrlGty8rqYjqGrmpYwpFG7v77rvpdDpN8y76YtiwYUxLS7NkMpswYQLDw8Ol95uR5DfffENAfs9ZKObDqmx6JmmTlQ0btY2ZM5VfhW9yBq/Xy4EDBzI2NjYoA4UaEac1qW/ZsoXh4eG6aW+2bdvGsLAwXnfddbrjUUvbf/LJJ7oypaWlzMnJYd++fQ2vTa1JJfPbU7OfBxJ0IDweT2W4fXR0dLVOiKFoCKFqFWqGEiva2KuvvkoA/OOPP0xlVaibna3s61qzZg0BubRQKjweD8PCwiqvvaYT9dpkZcPGKcDVV5NOp1IHS8X69esZFhbG/Px8P1mv18vevXszKSlJs9T9bbfdRofDoRudduONN9LlculOeGVlZWzcuDHbt29vuIJ/8sknCZhnQ1cn2IULFxrKkUo2g9NOO01Kcxg5ciTj4+NNE8n6VhGOiYmp9tV+bVYPVjcHFxQUGMpptfnPf/4j3aaoqIhCCEvpqkhy0KBB0iZHu/iiTVY2/oLYv59MSSE7dyZ9rW/33XcfAQSVq1+6dCmFEJr+qX379jEuLo6DBw/W/Kw///yT4eHhhqY5NcuCUcizuvnXLHnp4cOHGR0dbfh5KtQw8CVLlpjKfvvttwTk90QNHjyYOTk5pkQYGGxSl6oH+4buy2pjRUVFdDqdvPfee01lfZGdnW0pMINUUjVlZmZKyf6tNCsATgBLAUzTOCcAvARgA4AVANqb9WeTlY26DI9H+XW8/PLJY8ePH2deXh5PO+20IJ/D1VdfTbfbzXXr1gX1pWZd1/M53HTTTXQ6ndy4caPm+RMnTjAzM5N9+vQxHPO4ceMYFhZmWurjuuuuY1RUlKYm6Iv9+/czLCyMN998s6EcqeyJSkpK4pWB4ZQ6eOeddwjIV7NVi2SalQ2p69oYqSSLveCCC0zlfNGzZ0/26NHDUht1L5hs3sOQfVZ1Ld0SgNsAfKBDVoMAfFtBWl0AzDfrzyYrG3UZXi/Zvz8ZG0v6VrZQK/u+8MILfvI7duxgdHS0ZnTYsWPHmJ6ezh49emhOHNu3b2dERIShVvTMM88QAOfNm6cro/o2HnzwQcNrU01RL/sysQ4uvfRSJiUlSaU8Gj16NKOjo3UrJ/tiz549dDgcfOCBB0xlSWXPGwC+9NJLprK+2phe5KMvalMbI8nLL7+c9evXN5XzxciRI5mVlWWpzXPPPUcAUjXNSOW+ZWZmEgCTkpL+msUXAWQD+AlAXx2yehPAUJ/3awFkGPVpk5WNuo4NG5ScgRdddPKY1+vlgAEDGBcXFxRKrGpQgXuyyJMmtWnTpml+1vjx4+l0OrlhwwbN80eOHGG9evVMQ6XPPfdcpqammu6T6dSpE1u2bGm66lbrRMmUVlczNBgFg/iie/fuPP3006VkSbJx48Y899xzpeWvvfZa1qtXzzQLe21pYyqGDBliOZjj4YcfJmBt/1NBQYHlYI5du3YRkCtISbLulQgB8CmADgB665DVNADdfd7/BKCjhtxoAIsALMrNzQ35YmzYqC08/rjyK/nii5PH1q5dS7fbHVR6o7CwkLm5uWzbtm1QqHlJSQkbN27M0047TTMMfceOHYyIiODIkSN1x3L//fcTME4l9MMPPxAA//3vfxtel2qGM8vAUFpayvT0dF2fmy/U8vKy9ZCeekqpHyabK3DcuHGMioqSqgZMKj4lAFyxYoWprK82VpNZIkJNhaSWnF+9erXptaj48ccfCYAzZ86UbnPs2DEC4FNPPSXXoC4VXwRwHoDXKv7XI6vpGmTVwahfW7Oy8VdASQl52mlkdjZ55MjJ43fffTeB4BQ9apkKrYq/6n6oqVOnan7WLbfcQqfTyfXr12ue37t3LyMjIw3rU3m9XrZu3Zpt2rQx1JqOHz/O+Ph4KR/T7bffTpfLJVWY8cYbb2RERASP+N4sHaxdu1batEee3O/2888/S8lv2rSJAPjKK69IyZOK2VPGRFfbqZB+/fVXAuD06dOlr2XFihUErEUelpeXE4C0ebZOaVYAHgfwJ4DNAHYBKATgCZCxzYA2/raYO1dZKPrGGRw7dow5OTk8/fTT/YItvF4vu3TpwvT09KAJu7y8nO3bt2deXp6mdrBz505TMrr55psNNxKT5Ntvv61rjgzsKywszLR+1cqVKwnIFRucPXs2Aflw7ubNm7Nfv35SsocPH6bL5eJdd90lJe/1epmTk8PLLrtMSp48qe3J1PTy1cYiIiJqNBWSuuVAJTaZz1JTQsn4Jn0RFRWlm3klCHXNZ8WTJKSnWZ0L/wCLBWZ92WRl46+EceMUwlqw4OSxTz75RHMyUAsTaoUnf//994RGgIYKdV/W2rVrNc9v2bKFLpfLsJZSUVERk5OTTSPO1I2/Miafjh07SvmXysvLmZWVJR3tduedd9LlcplGJqro0aMH27dvLyVLkvn5+UxPT5fOMvHzzz9b1mBGjBjBjIwMKdlQNKtQtbiysjI6HA7ed9990tdCkikpKRw7dqx8g7oWDcgAsgIwFsDYiv8FgFcBbATwm5a/KvBlk5WNvxIOHSIzMsi2bUlVkfJ6vTzrrLMYHx8fZCK78sorGRERoZlqqV+/fkxOTtZM7bNr1y5GRkZy2LBhumMZOXIkIyMjDVf/999/P4UQuiZFFT179mSjRo1MgxDU/HRLly41lCMVwnW73VIEpJq3ZDWxRx55RFrzIck333yTADS3FGjhyJEjFEKYRlT64umnnyYAv6TFegiFeKoSeZiammqYIUULDRo0MHz+NFGX9llV98smKxt/NXz6qfKLSUhQtKy8PPKpp1bT7XYHhZ1v2bKFERERleVFfLFgwQJDv8C//vUvOhwO3T1Fq1atohDCcMW8c+dOut1u02q2H374IQHw//7v/wzl9u3bx7CwMN5yyy2GciQ5f/58qSAPUtHE0tLSpE116r2TJbfVq1cT0E4GrIeWLVtaijpUN0TLBjJYzaQequnQt/CmrOmQJFu3bs2LfENgZWCTlQ0bdQcej5KGKdA8f955dxAA09LS/MKR1YwX6enpQWHKQ4YMYVhYGLOzs4PO7d69m263m1FRUbrhzRdddBEjIyOZk5OjKzNixAhGR0cbajgnTpxgSkqK1OQ0ZMgQJicnm+658nq9bNCgAQcMGGDaJ6mEmMfGxkpF+ZWVlTExMVE6m4PX62VKSoql7A9XXXUVU1NTpU2Hag0tK4Ecqqa6fft2U9naNB2SSomV/v37S18LSZusbNioS9ALfEpMnKJZMffaa68NmmDUCUPd5Kt1zuPx0OVyGU40Dz30kG57Ferm34SEBMM9Peedd17lSt1oBT5hwgQpOVLJnuB0Orl3717T+/r1118TAL/zrc1igMsvv5wZGRnSZHLxxRezQYMGUrLkSSLRy5YfCK/Xy4SEBI4ZM0b6M9TyLzLFG2vbdNivXz9269ZN+lpI2mRlw0Zdgt6WEkB7Ygisius7YRhNJjITjYyMx+Ohw+EwnOQ8Hg8jIyNNJ0KrE+akSZP8xmQ0sRYWFtLtdldWXzaTnzJlCgG5/VMk+cILLxAAt27dKiWvmjE//fRTKXlSCfywUg9r/fr1BMB33nlHSt7j8TAxMZEAmJWVVWOmQ1IpHGplszZJm6xs2KhL0NOsAO2JQe8lhDCcTGQmGhmZ6iI9K3KkdWKzWu7+pZdekiZC0np29BMnTtDtdvNO3zoxJrj++usZHx8vre2VlJTQ6XTynnvukf4MNZvIr7/+aipbFc1q6NChbNy4sfS4SNpkZcNGXYLWlpLISDIpqW5qVtVFelbkZMcWqnwoJrGysjJGRERIa26kEqpvljjYF2o6LVntjVQqDV9++eXS8suWLSMgl84qVJ+Vx+NhTEyM9EKgEjZZ2bBRt+DxKBqWahK88kr9ieH666/XnTCMJhOZiUZG5lRpVlZNUDVJhOq9MjOHBuL6669nXFycaUi/il9++YWAtf1ZAwYMkCqEqWLv3r0E9PfoBcLj8TA5OZkAmJGRIUVUIWdet8nKho26izPPJBs2VGpe+WYzEEJU+iIC6zH5plryLUQYWGU3sLz8iy++GPT5Ho+HqampBMDk5OSQ/EyyE5SViawmNatQfDGhENx1111X2a+MhnHgwAEC4JNPPmko54tx48ZZMh16vV6Gh4fz9ttvl/6M//u//yMQnBZMC1UxHdpkZcNGHcZHHym/oK+/Pnls1qxZBIL3GKnZLr755pugfq655hrGxMRoltZQHfFPP/205hhKS0sN60h5PB5mZ2cTAOPi4jQn3UBinDx5sm5fvnJ6Je9D8VnVFBGS1gnO4/EwIiLCsoaRlZVlaTOtWsJDJmJSRYMGDaRrhpHkwoULCYBfffWVqWyVqgXbZGXDRt1FSQmZmanUvVLh9XrZokULdu7c2U+2uLiYycnJvOSSS4L6mTlzJgH9AICOHTsamouuueYa031KvXv35mmnnWZ4PSrRmpUDUetmvfHGG7oygcSmldg3UL5evXoEjKPdaiOMO1RTo0pwsr6er776ioBxjbJAdO/enb1795aWV+uAvfvuu6ayIWtWdTHdUnW+bLKy8XfAww8rvyLfZBNqqHRgOfhbb72Vbrc7KFVQeXk58/LydDfRPvvsswT0UwZ98803BMCvfVW8AKir+D/++ENXpqSkhHFxcRw9erSuDKkQclZWFi+99FJDOd+x/fTTT6ayanaKjz/+2FDOlwjdbne1+2JC0cRC8fWouRmlgxio7DFr0qSJtPzBgwcJgM8995ypbEjXUVcT2VbnyyYrG38H7NpFhoWRvlmNDhw4wIiIiKBNomr2cq2J47777qPD4eCOHTuCzm3bto1CCD788MOaYyguLmZ8fLxhLawNGzZQz/fli4svvpg5OTmmfpQRI0YwKSnJNADh0KFDFEJw4sSJhnKkch3h4eHSGb/vueceulwuqYKEVjSf2tDESCXhsNU8hLfddhujoqKk/Vzl5eWWktl6PB4mJSURADMzM82JtC6VCKmpl01WNv4uGDaMjI31r3c1cuRIxsTEBJUJ6dy5M1u1ahU02ai1nZ555hnNz+jZsydbtGihO0kNGzaM9erVY0lJie44W7ZsaVqO46233iJgXOCRJN977z0Ccolt27Vrx759+5rKkWTXrl2lN9eqfsCFCxdKyd9+++0MCwvzK+mihZrWxHw/R93eIGs6VLVs2Sz1JJmUlMRx48ZJy6t111auXGkuXIvFFx2wYcNGlXDTTcDRo8B77508NnbsWBw7dgwffPCBn+w111yD33//HQsWLPA73rRpU3Tu3BlTp07V/IwrrrgCq1evxm+//aZ5/pJLLsHBgwcxc+ZM3XGef/75mDVrFg4fPqwrc8455wAAvvvuO10ZAOjbty8AYMaMGYZyANCjRw/MmzcPpaWlprJdunTB4sWLpWTbt28PAFi6dKmpLAC0bt0aJSUl2LBhg6Fcfn4+3nrrLSQnJwMAMjIy8NZbbyE/P19TPjc319JxACgoKMDo0aNRXl4OANiyZQtGjx6NgoICw7FlZmYCALZv324o54vExEQcOHBAWj4yMhIAUFRUZC6sd40G1x4qbLKyYaOK6NRJeb3yCuD1qsc6oW3btnj99dcVE0YFLr/8ckRFRWHKlClB/YwYMQIrVqzA8uXLg84NGTIETqcTH374oeYYBgwYgOjoaPz3v//VHecFF1yAsrIyQyLKyclBq1at8O233+rKAEB2djaaNm2Kn376yVAOUMiqsLAQS5YsMZXt3LkzTpw4gRUrVpjKNmjQAPHx8VL9AgpZAcDvv/9uKpufn48ff/wRAPDiiy/qEhUATJo0CVFRUX7HoqKiMGnSJN029957LwoLC/2OFRYW4t577zUcV1ZWFoA6RFaTJgEB146oKOV4NcMmKxs2qgE33gisXQtUzG8QQmDs2LFYvny5nxYVFxeHSy+9FB999BGOHz/u18fll18Ot9utqV2lpKTgrLPOwkcffeRHfioiIyNx7rnn4vPPP69crQeic+fOSElJwVdffWV4Leeccw5++eWXoPEFol+/fvjll19MtaAePXoAAH755RdDOUDRrABg/vz5prJCCLRv316arFq0aAEhBFauXCkl37hxYwDAunXrDOVUTSwvLw+A8l0YaWIAsHXrVkvHVSxatAiAsjipX7++qSYG1DBZ5ecDb70FhIcr7/PylPcG1x4ytGyDtfGyfVY2/k44cYJMTSXPP//ksSNHjjAmJiYo8EHNdqAVTnzhhRcyPT1d06/y73//mwA4d+5czTH85z//IWBcV2nUqFFMSEgw9G39+OOPBMBp06bpypDkp59+SkBuw2nTpk15vu/N0YHX62VaWhqHDx9uKksqAQfh4eGG1+OLJk2acMiQIVKyJJmdnc0RI0ZIyw8cOFCqknGo4fGhRB3m5+ezYcOG0tewaNEiAuAXX3wh3aY29lnZmpUNG9WA8HBg9Ghg2jTgjz+UY7GxscjPz8dHH32EgwcPVsp2794dTZs21TUF7tq1q9IE5YuLLroIYWFh+OijjzTHMGjQIERERJiaAg8dOoQ5c+boynTv3h1RUVGmpsA+ffpACCFtCpwzZw68qp1UB0IIdOnSRUqzAhS/VXFxMdasWSMl37p1a2nNClB8iWaalS/y8vKwefNmU7naNB3WqGZVi7DJyoaNasLYsYDTCbz22sljY8aMwYkTJ/xMe0IIXH311Zg9e3bQRDho0CDUq1dP0xQYHx+PQYMG4T//+Y+mqS8mJgYDBgzAZ599pksKZ599NsLDww1NgeHh4ejbt69pkEViYiLatWsnTVYHDx7EqlWrTGU7d+6MdevWSU2woQRZrF+/HidOnJCSt0pW9evXx4EDB3D06FFDOdV0mJ6eDkAx89aE6bCgoABTp07FoUOHkJeXJ2U2tMnKho2/ObKygIsvBqZMAVR3T7t27dC5c2e8+eabfr6mESNGwOl04p133vHrIzw8HFdccQW++OILHDlyJOgzhg4dil27dun6f4YMGYLt27cHRRuqiI6ORr9+/fD1119r+r5UDBw4EBs3bsT69esNr7lfv36YO3du0Io/EKH4rfSuwRdNmzZFVFSUpSCL8vJyrF27Vkq+adOmOHDgAPbv3y8lX79+fQBKdJ8Z8vPzK8f94IMPGhIVYD3qUI04VKM/t27dKhVxaJOVDRv/ANx0E3DoEOA7H4wdOxarV6/G7NmzK49lZGRg0KBBeO+991BWVubXx4gRI1BUVKRpzjvvvPMQHR2tGxV43nnnwe12m5oCN27ciNWrV+vKWAlhLy0tNTQrAkrkXlZWlt890EPHjh0hhMC8efNMZZ1OJ04//XRpsmrVqhUASJsCmzZtCsA8yEKFSlYypkAASE1NhcPhwI4dO0xlrZoOQzUb2mRlw8Y/AGeeCbRtC7z8srI7EgAuu+wyJCQk4I033vCTveaaa7Br164g31Dnzp3RpEkTTVNgVFQUBg8ejP/+978oKSkJOp+QkICzzjoLn376qa7mdN555wGAoSmwYcOGaNKkiSlZ9ejRA26329QUKIRAjx49MHv2bEONDlB8fa1bt5YiK0AxBS5dutTUHwYATZo0gdvtlgpfV+WBmiMrp9OJ9PR07Ny501RWNR1GR0cDUPxjRqbDUCMObbKyYeMfACEU7WrlSkC1eEVFReGqq67Cp59+ij179lTKDho0CGlpaUGBFkIIDB8+HDNnztQ0J11xxRU4cOAAfvjhB80xXHLJJdi8ebOuHycrKwsdO3Y0DWEfOHAgfv75Z0P/TnR0NLp06SLtt9q+fbvURN6lSxcsWLBAioDat2+PY8eOYePGjaayYWFhaNasmbRm1aBBAzidTmmySk1NRUREhDRZAYqWLaNZAQphjRs3DuHh4di0aZOh6TCUzcoA8MknnwAA7r//funw+NqATVY2bFQzhg4FEhMV7UrFmDFjUFpainfffbfymNvtxlVXXYVp06Zh165dfn0MGzYMADQnigEDBiAhIUE3KnDw4MFwOp2mpsB58+b5kWcgwsPDUVRUhKioKMNJKyUlBYsXL4bD4TCUU31wDRs2NJ0EO3fujIMHD5r6zICTQRZW/FayZOV2u9GwYUNpshJCIC8vT8pnpSIzM1OarAAgOTkZxcXFpn7CUCIOVT+XCtnMGrUCrXj22njZ+6xs/J1xxx2k00n6Vjnv2bMnGzZs6Jf8VS23oVW0r2fPnmzWrJlmPsBevXpRCKFbHLBly5Z0uVy65x977DG/vT1axRYjIyNN9/R4PB6Gh4dLyVnZI/TEE08Yjs8X7777rrQsST766KMEwKNHjxrKqTj33HPZpk0bKVlSqQDcsWNHafkxY8YwJSVFWv7tt98mAG7ZssVU1uPxMDMzkwCYlJRkem9CLhNi17OyYeOvic2blV9XXJyS0zMvjxw37gMCYGpqqh+JNGnSRJNYrrnmmsqEqL7HzQjC4/EwLCzM8LwZcVR3uXsrk6AVYgtlo+ytt96qeV+N5CMjI6VL3I8ZM4bJyclSsiT50EMPEQCLi4ul5D///HMC4OLFi6Xkd+7cSQB87bXXTGVDLsBok5UNG39NeDyKZuWbiNrtfjdoEnC73XS5XEGT7fXXX6+r2ZhN/FU9T8pPWtUtJzu+UGSV78V6FeBRo0ZZIrfHH3/ckuamZrqX0ZRIcvbs2QTA77//Xkr+2LFj1NPeA2FrVjZZ2fiHQbvMj/ZEoPVSS0doTRpmE39VzyvjP3WalRVis6oJhEJuMmZOX3z44YcEJEtskJw2bRoB+YrBq1atIgB+8MEHUvJer1e6plXIBRjtSsE2bPw1oV3mR3titfJSV/dGE251aFayk1Z1y8mOLxRZ5XupWXIjyYkTJ/p9V2aa2JIlSwiAn332maGcij179hAAX375ZSl5koyLi+P48eOlZD0eD91ud+V12pWCbbKy8TdGTWpWZhN/Vc+r8Hg8zM3NJQDGxMToTloej4epqakEFH+ckVxOTg4BMD4+3lCupnxWNU1usoEpvlB9Sq+88oqujC9KS0sJwFKF4aysLI4aNUpavnPnzuzfv7+5oF0p2IaNvza0Fpxut4dhYf4Tq9vt1gyGuP76600JRyWS2NhYTaJJS0sjAKakpGieVyfuiIgIw8m0R48eptV7d+zYIb3az8rK4lVXXWUo4/F4mJ6erjv+QNns7GwCYL169Uxla5LcQtHEpk6dGrQYMUO9evV44403msqpaN68uaVs8z179mQvGR9ULVYKtsnKho0agsdDZmUpv7J69ZT3Ho+HCQkJBMDs7Gx6PB4/4omLi/MjJHXyCwsL05zEevTowa5du2p+/tGjRymE4EMPPaQ7xmHDhjE7O9vwOsaOHcuEhATNEHoVXq+XsbGxUhNor169pErX79u3jwD47LPPmsp6vV6Gh4fzX//6l6msx+NhXFwcATA3N7dayS0UTSyUsh+NGzfm0KFDTa9VxRlnnMEBAwZIy5911lm6z5UfbM3Kho2/D3JzSd9F7a+//kotH0W3bt3YrVu3oPZ33HEHw8LCeOLEiaBzt956KyMiIjTrX5FKHamLLrpId2xPPfUUAXD//v26Mi+99BIBcMeOHboypDIhnnXWWYYypBKSn5qaaipnhQBJpVbVZZddJiX76quvEgB37txpKusbQWim+dSGJkYqZrqzzz7bdOwq+vbtq/ls6eHcc8+VqstVmz4rO4OFDRs1jF69gFmzlF8yoGRciIiICErq2q1bNyxevBjFxcV+xzt16oSSkhLNcvcdO3bEiRMndEtvtG3b1rB8Rps2bQAAv/32m66MmvzVLJ9es2bNpLKZN2nSBHv27NHMKu8LIQQaNGiATZs2mfYJADk5Odi2bZuUbGZmJgBIZY7Iz8/H0KFDkZmZic2bN1driftQy36sWLECP/zwg3Q6pNjYWNOyJb4ICwvTzD0ZhFqsFGyTlQ0bNYxevYC9ewE1yXl4eDg6deoUlKm8a9euKC4uDiKXzp07A9Au9d6xY0cAJ8udB6Jdu3bYvHmzX/FHX5x22mkAgBUrVuiOX5asmjdvjm3btuG4Wh9FB2q5eJlcflbIKjc31zRJq4qsrCwAcmQFAGlpadizZ49ijjKAmmxWJaw8k2SzoZb9UJPMyqZDskpW4eHhQYsmXeTnA126KA/65s01U9IeEmQlhIgQQiwQQiwXQvwuhHhIQ6a3EOKwEGJZxeuBGhmtDRt/QfTqpfydNevksR49emDJkiV+E3vXrl0BAL/++qtf++zsbGRmZmrWd2rcuDFiY2MNyQoAli1bpnk+IyMDSUlJhppVamoqEhMTTQsnNmvWDIB5hnKVrGTy/jVo0ACbN282JQlAmeB37NiB0tJSU1krmhWgkFVZWZku6fsiPz8fV199NRISEqpdEwu17EcoZCWlWdUiZDSrYgB9SZ4OoC2Ac4QQXTTkZpNsW/F6uDoHacPGXxmNGgGZmf5k1b17d5SXl/uVwcjIyED9+vUxd+7coD46deqkqVk5HA506NABixcv1vzstm3bAtCvpCuEQJs2bQw1KyEEWrVqJaVZATAtMd+oUSMAwIYNGwzlAIWsCgsLDRPuqsjJyQFJKQJKS0uDEALbt283lQUUwgaA3bt3S8knJSXh0KFDQbXKAqFqYnFxcQAUwq3ush8FBQUoKCjA/v37pc2GYWFh8ppVLcGUrCp8Xscq3rorXubLHBs2bABQyoYE+q26du0KIUSQKbBbt2749ddfgzSJzp07Y/369Zql3jt27Ijly5drroTT0tKQkZGhq1kBit/qt99+MyzHoZKVkYbTuHFjCCFM/VYxMTHIyMiQJisAUqZA1XQmYwp0uVxIS0uzpFkBkCJNQCErANKamKoZrVq1qlrLfqhmQ9U/KGs2tGQGrCVI+ayEEE4hxDIAewD8QDJ4iQd0rTAVfiuEaKXTz2ghxCIhxKK9e/eGPmobNv5i6N0b2LULUC1f8fHxOP300zX9Vjt27AgKFFD9VgsXLgzqu2PHjiguLtbVfNq1a2cYZHHaaaehsLAQf/zxh65My5YtcejQoaBSJr6IiIhAgwYNTDUrQCG26iarnJwcAHJkBVgrzaGSlaxmlZycDADYv3+/lHx8fDwAVJag10NtmQ2lAyxqEVJkRbKcZFsA2QA6CSFaB4gsAZBXYSp8GcAXOv28RbIjyY4pKSmhj9qGjb8YtPxW3bt3x9y5c/1MRd26dQMQ7Lfq0KEDhBAhB1msXr1at/JrdUYENm/eXJqsZHxWauVdK2QlGxGYlZVVY2Slalb79u2Tkk9ISAAAHDp0yFBONRuq/WdmZtZIteC/rGalguQhADMBnBNw/IhqKiT5DQC3ECK5msZow8ZfHk2bAmlpwWR1/PhxPxNdmzZtEBUVFeS3iouLQ8uWLTXJqmHDhkhISND1W7Vr1w7l5eW6BQdbtWoFIYSh36ply5YA5MLX161bZ1rht3Hjxti1axeOHTtmKBcTE4OUlBQpsoqJiUFiYqIlzUrWZ5WYmAiHw2HZDFjdmhWgENbbb78NAJg+fXq1VwsuKCjAa6+9hrKyMuTl5dWNwouQiwZMEUIkVPwfCeAsAGsCZNKFEKLi/04V/cp9SzZs/AOg5bfq3r07APiZAl0uFzp16hSkWQGKKXDBggVBfiMhBDp06KCrWalBFnp+q6ioKDRp0sSQrNLS0qQiAps3b46ioiJT7aZJkyYAqj983epeq71790qZu5xOJ1JSUixrVrJkJatZqYiJiQEAU7K3ajZUfVwqaW7durXOVAqW0awyAPwshFgBYCEUn9U0IcRYIcTYCpkhAFYKIZYDeAnAFZSJNbVh4x+EXr2AP/8E1Hk3KysLDRo0CNoc3LVrVyxbtizI19CpUyfs27dPc+Lu2LEjVqxYoWm6adCgAeLi4kz9VtUREaiGr5sFWajh67J+q5rYa6WGrxv54XyRlpZWY2RlRbMCgOjoaADmZKWaDVW3S3p6uqHZMFQfV21AJhpwBcl2JNuQbK2GpZN8g+QbFf+/QrIVydNJdiEZvCy0YeMfDj2/1Zw5c/y0pW7duqGsrCxIUzLbHFxaWqrpd3I4HFKZLDZu3Gi4obdly5amEYFWw9dl91pt3boV5eXlprKhkJUVv5UsWcXExMDtdp9yzQpQCOuDDz4AAHzyySeGZsNQfVy1ATuDhQ0btYSWLYHk5ODNwXv27PHTMLp0UbYxBvqtWrdujcjISM3NwR06dAAAQ7/VihUrdCf8Nm3agKSh5tSqVSvTiMDU1FTEx8ebalZxcXFITU2V1qzKysrw559/msrm5OTg0KFDUhtgrWaxSE1NlfZZCSGQlJRUY5qVSlZm2UJUREREAABOnDhhKBeKjwsFBcC8ecqDXb++8r4GYJOVDRu1BCGAnj2BmTNPHlP9Vr6mwOTkZDRt2jTIb+VyudChQwdNzap+/fpITEw09FsVFhbqZpdQIwKrmnbpgw8+QFFREV577TXDDagFBQU4fPgwpkyZYrpRVQ2pb9CggamsqgHEx8ebyqqLgUsuuURqs6wVzQpQTIGy0YCRkZFwu901olkB8mRl1ceFggJg9GhANT9v2aK8rwnC0spuWxsvO+u6jX8iXnxRSUy9ebPy3uv1MikpKagw3lVXXcWUlJSgshwTJkxgeHg4i4uLg/ru378/27Ztq/m5y5YtI6BfCr28vJzR0dG86aabdMeuZiqHTvbxmqga7JvxXEZWtgR9KKU5Lr/88spyHzJ1p3r16sUePXoYyvgiOTmZ119/vZTs8ePHCYBPPPGElPxvv/1GAPzkk09MZT0eD5OSkgiAWVlZxtdplwixYePviWXLlF/de++dPDZ48GA2adLET+7NN98kAK5fv97v+Mcff0wAXLRoUVDf99xzD10uFwsLC4POlZSUMCwsjLfffrvmuDweT2URyFCJSLbcRU2Vra8p2cD7I0NuvhWDZQsqNm7cmFdeeaWpHKkscoQQvO+++6Tk169fTwB8//33peTVgpAbNmwwFrSLL9qw8fdEeblSiPHqq08ee/rpp4mA2korVqwgAE6dOtWv/ebNmwmAr776alDfn332GQFw3rx5Qec8Hg/dbrfm5FldRCRbeNBKgcK6ICt7/VbupxY6dOjAQYMGGcr4IjY2lrfeequU7NatWwmAkydPlpL/4IMPCIBr1qwxFrQ1Kxs2/r644AKyUaOT7+fOnUsA/PTTTyuPlZWVMS4ujmPHjvVr6/F46HA4NEnnxRdf9JtEfSsOG02e1UVEf2fNygq5hVJQ0UqBRxUZGRm87rrrTOVIcs+ePQTAl19+WUpe1eBXrlxpLFiLxRdtsrJho5bx7LPKL+/PP5X3xcXFjIyM5C233OIn17p1a7rd7kofyfXXX69LOkaEZDZ5VhcR1ZTP6lTLyl6/irpY2v7IkSMEwKefflpKXtXSly1bZi7s8ZDh4Sc1qioQFWmTlQ0bdQaPPOJvLfF4yBYtWjAsLMyPmFSzne9kpzdhGk2mZpNndRNRRkYGATA5OdnQp5OWlkYATE1NNZyYjUyYWrJ6mqeWrKxfyUqgR22UtrdyT0jFZwmAjzzyiKGciq+++oqAtm9UE716Ka9qgE1WNmzUAWhZTdxuD51OOWLSIx0jQjKbDK0QUUJCAgEwJydHd4Lctm0bAfDNN980vBdLliwhAH7++eem96179+7s06eP1D3Oysri1b5OQQNcccUVQcEtenj++ef97p0REVvRlGpDE/N6vXQ4HNIBGd988w0Bbf+nJmqBrOx9VjZs1CLuvRcIyGaD0tJ7UV7uX91W+c3KITc313Azp9neGTUlj5rRISkpSTMlT35+Pp544gkAwLx583QzIcTGxgKA6cZcK3uFoqKipDfARkVFBaUM0kNkZKRuNvpAXH755QCAN954w7ACcGBm9KysrGotbR9KSiQhBCIiIkz3WalwuVwAYFo8sjZhk5UNG7UI7aw18qlsKvJFV0IlHSNCkiGj/Pz8ylRN999/v+7Eqla0VYv5aUEloeokq+joaEtkJUtAkZGR0hN4eHg4APONtYByP1944QUAwM8//1ytpe1DrRZ84sQJPPPMM1IboG2ysmHjHw7txbL2ClqLmMaOHVtZtykhIaGSdFRCqlevHgAgOzvbj5Dy8/MrS4Tcd999mpOnSkRGWRRkyMrpdCIqKuqUkpWsZhURESFNbLJZIFSo5GZWF0r97tSUS3l5edWqiamZ1NWyLTLVgm2ysmHjH45Jk4CARTTc7kkICwteWY8dO7Zy0lAnsNdeew1btmyB0+nEuHHjgrSjl156CQDw008/BU12ZmTkcrkQExNjmJ9OhqxUOTOyks0crsrWpBlQxuwqSz4qwsLCAECqBEl+fj5uu+02AErZlOrUxEIxG9pkZcPGPxz5+cBbbwHp6cr7lBTg3//OxzvvvAWn0wnAn5jatWuH/v37+/lIhBBITEzEgQMHgvpXNauDBw8GnXM6nYiLizPUnOLj46uFrGJjY03JyuFwIDo6+pSTldfrlZqUnU4nXC5XtWtWKlRyKy0tNZRTNTGV7M00sVDMhj/++CMAYODAgVJmw9qA61QPwIaNfxry84EePYC8POCxx5T3QD6eeeYZZGdn4+uvv66U1UuGGgpZAYrpsK6QFaCYAmXJqrCwEF6vFw6H8RrbqhkQAIqKiuB2u6Xka0KzAlD5+aWlpZXj0kN+fj5mzJiB77//Hps3bzaUzc3NxZYtWzSPa6GgoACPPfYYACXQRzUbqp97qmBrVjZsnAIkJyt/9+71PZYcREx6ZSb0yCoxMRGAMVnpnQPMyUr1q5wKsgIg5V+yqlnJ9gso2pKsZlUVspKBy+WS0ghDMRsGXmNdKMBok5UNG6cAUVHKy5ebqoOsalqzUsPSTxVZyZgCIyMja4ysrGhWVs2ANUVWqtlQ7b8mzIa1AZusbNg4RUhJCdasAokpKSkJR44cCZrAQiWrevXqVYms3G43IiMjTYsEnkqyshq6DliL8KtpzUpW3ul0SgdA5Ofn47TTTsN5551nuEcMCKEAo1180YaNvzeSk/3JKikpCQcPHvSbgNSNpYHEpEdWYWFhiIqKqjHNClD8VnVZs1LNgDIRfr4+KxlY2VirktWp1qxUOBwO3UrRvpg0aVKQz0zXbFiLxRdtsrJh4xQhJSXYDAj4E5NKVoEaV2JioqbGBSjaU1XIyqxa7V+BrAA5bSkUn5VVM2BN+qxkyEeF0+mUks/Pz8ejjz5a+d7QbKiVkqWwUDlezbDJyoaNUwQtMyAAP7+VEVkB2numzMjqyJEjupNWfHw8iouLDSdkWbIqLCw0nRxrkqxk/FZWzYChaFanOsBChdPprNwYbIYLLrgAAPD+++8bmw31/Fg14N+yycqGjVMEPbLyJSYzstLzWxmRFaAfIKGeNwtflyErQC7l0qkkK6tmwFA0q+reZ6WipsyAqiwgkaNSz4+ld7wKsMnKho1ThORkxWKizqmhaFahkpWeqU8NTa9rZPXzzz8DUFb8RptUCwoKcNdddwEAunTpYrqZdcaMGQCA888/33Tza0FBAebNm4fZs2dLbZStDc2KpLS2JGsGBE6m+jLtWyslS1SUcryaYZOVDRunCCkpyl+Vm1Riqg6y0joO1C2yKigowBtvvIHi4mLk5eUZEtCDDz5Y+V4vt52aA0+9fzt27DDMgVdQUICHHnoIgP/mVy15tW/VBCiTX++zzz4DAEyYMEGK3KxGA1pNiWTFDKiSlalmpaZkqdAikZenvK+BzcM2WdmwcYqgkpVqCtQiq+joaLjdbs1oQKDualaLFi0CALRu3VpzolYnf/Vztm7dqjv533vvvUFmOq1NqlZz4FnZ/Gq174KCAtx4442V72XIbdasWQCAnj171khm9BoxAwIKMXXpAvTqBWzeXCNEBdhkZcPGKYOaxULlpqioKERFRfmRlRBCc2OwGVkdO3ZM05xUVbIqKCjA+++/jwMHDuhqQwUFBXjllVcA6GssViZ/2U2qVjezWjlutY9QyO2ZZ54BYK7lqQhFs6p2M2AtwiYrGzZOEQI1K0B/Y3Dgsfj4eAghDDcGaxGSLFlpnVe1IVWr0tOG7r333qCggsCJ2srkL7tJ1epmVivHrfYRCrmZ3TNfFBQUVIaXt2rVSirRbI2YAWsRNlnZsHGKoEdWMimXnE4nEhISLGexMCIyAPj+++8BANdcc02QKUpWW5CZqK1M/pMmTaoMMVehtUnVag48K5tfrfZdk+SmLhrU7/fPP/801cKAGjQD1ha0at3XxqtDhw60YeOfjPJy0ukk77nn5LGzzz6bnTt39pO76KKL2KpVq6D2jRo14pVXXhl0fNq0aQTAefPmBZ17//33CYAAmJeXR4/HU3nO4/EwKiqq8jwARkVFVcoIIfzOqS8hhN9n5OXlacrl5eVJf1YgnnjiicrPChy3LzweDxMTEwmAWVlZunIqHnzwQal+1b4jIiI0752WbGRkpPT1ydyzUGS1xmM2dpLcvn07AfCNN94wlKtEr17KqxoAYBE1OMMmKxs2TiHS0sjrrjv5fujQoWzUqJGfzLXXXsv09PSgtmeccQbPOeecoOMTJ07UnIDNCMJsEpSdJD0eD8PDw00nao/Hw/j4eAJgbm6u4QQ6f/58AuDXX3+tK6PipZdeIgDu27fPVPbnn38mAM6YMcNUliS7d+/OPn36SMlOnjxZd2EQCNl7RsovGnz7trIwIMkdO3YQAF9//XWpa60NsrLNgDZsnELIJrPdv39/kElGKz9gQUEBnnzySQDBjnozM56ZKUrWFJafn48xY8YAUHwfeul68vPzMWrUKMTFxWHLli2GyVXVzcDq5mAjqNcYOFYtqNGAgWZGPRQXF1du9jXD4MGDAQAvv/yyafJY30rBRvcMsG5iDKVSsO2zsmHDhh+Sk4PzAx46dMgvki8pKQmlpaV+m2cLCgowe/ZsLFiwwM+3ZBSObUZGZpOgWmpCLcBoNKG2bdsWgFKi3WiiPnr0KGJiYjTP+SIUsjIrYAiczFwhIwso5CYrqwZMqJuDzdCzZ08AwP/+9z/De2bVfxZKyY/PP/8cADBu3Lg6UynYJisbNk4h9FIu+WpM69atA6BE6tWvXx/jxo3D6NGjKydlX+3JaGIyIyOZQIb8/HwMHToUaWlppiQEnNwcrIdjx45VO1kVFRUhMjKyUjswkwVqRrNSN/fKyqsLFLOKxeqiQQ2WycnJMaxPZVUTKygowIQJEyrfy4TR1wZssrJh4xQikKxWr14NAMjIyKgkpvfffx/ASbPeG2+8oWvWMZqYzFbk+fn5mDhxIgBjU9Thw4crtSs9nEqyKiwslDIBAtbNgFY0K5WsZDUrWbIClO9KTSu1Zs0aQxNjKJWCZTZh1zZMyUoIESGEWCCEWC6E+F0I8ZCGjBBCvCSE2CCEWCGEaF8zw7Vh4++F5GTg4EGgrExZ0U6ePBmAPzEF7r/R8yNs3brVMBw7Pz8fL7zwQuVxLTLq3r07AODbb7/V1ZyOHDkiRVZut9tUqzjVZBWKZmXVDFjdmpUKdTOwujlYD6ompl7jX7VSsPFVKigG0JfkMSGEG8AcIcS3JOf5yAwE0KTi1RnA6xV/bdiwYYDNmwESCAsDHI57UV4uR0xayM3NRX5+PtasWYNHH30UQohKjUqdmM4++2wAwDvvvINRo0YF9aFmrlA3B2tBlqzMtCpAIau0tDRTuZomKys+K6tmQKualay8LFkBCmF9+OGH2LlzJxYvXmwom5ubiy1btmge14RaKbi4WKkUPGnSqckNWBFNqHp23RWvwF/QYABTK2TnAUgQQmRU71Bt2Ph7oaAA+Ogj5X8SKC+XX7kG+mN8zTodO3YEACxcuDBIO1I3A6uZLAKhkpXeeaD6yUpWsxJCSGlA/yTNSghRuYHXDOXl5XA6naZyspuwAdS9SsFCCKcQYhmAPQB+IDk/QCQLwDaf939WHLNhw4YO7r0X8E+wLVcDKCoqCmPHjq2cBAPNOmpmAzV/oC/Uc6pzPhDVqVmZyQDWyCoqKkoqaMKqz8rlcklpJyRrRbOyQlYy41bh9XqliC0/P78yTyHwF6sUTLKcZFsA2QA6CSFaB4hoPUFB9gshxGghxCIhxKK9vl5lGzb+gQh2AUwC4D8RRkVFoVu3bgD8gx5ee+01NGnSBBdddFGQ9mRESLKaVW2aAWXkjh8/LmUCBKxrVrKakkomNRVgocpbISsZTUmFrGYFABdffDEA4PXXX/9rVgomeQjATADnBJz6E0COz/tsADs02r9FsiPJjilqYjQbNv6hCHYB5AO4GoA/MfXp0wcOhwNlZWV+E8eBAwd0tSchhCahyJCVy+XSNYuRrDayImlJs7JCVrJmPTXMXQZq5KCsZlUbZkCrmpUsWakJb0012bpUKVgIkSKESKj4PxLAWQDWBIh9BWBERVRgFwCHSe6s7sHasPF3wqRJQOC85HY3A6DUtFKJaf/+/UhMTAwy4RiRVUJCgqbJR4as1IzuWjhx4gTKysoMNS9AjqyKi4tRXl5e7WRVVFRkyQxoxV8F1JxmZZWsysvLLZFVeXm5tH9LDewxJas6Vik4A8DPQogVABZC8VlNE0KMFUKMrZD5BsAfADYAmAxgXLWP1IaNvxny84HevQGHAxBCKbI6aNA+OBwOPzLZv39/ZWFGFUVFRThx4oQuWen5pA4dOqSrdannzUyAAKpFs1IzctSEZlUTZkBVs6rpAAsr0YBWyUpWs1LJypTc6lKlYJIrSLYj2YZka5IPVxx/g+QbFf+T5A0kG5E8jeSiah+pDRt/QyQmAo0aAV6vEsaekbEvSIvSIis1w0UoZBUXF6c7CamalR5Un9bfiaxkNauPP/4YAHDttddKpSAKVbOSJaA6YQYE7ErBNmz8E7B378m6VoBi/lNTLqnQIiujiL8DBw4YkpVRWPrhw4dNw9YBY7IiWe1kVVhYKEVWBQUFOHDgAF555RVTQikoKMD333+P5cuXS8ned999le/NUhAVFBTg9ttvBwCceeaZpsRWUFCA559/HgDQoEEDqdRGoWhW1W4GrEXYZGXDxilEIFnt378/iKwOHDhQrZqVGVlV1QxYVFQEr9dbbWRVUFCAlStX4uuvvzYkFbUooQojQlFlVdOeGfkYJQjW61v9jrZv325KbL4VmGVz8dUJM2Atou6MxIaNfyD27VNSLp18r61ZBZJSXSYrmbyABQUFlSU0Ro4caTqRq9kajCZyK6UwrJbNsJKCyGrfoZTwKCgowKefforNmzdLZ0WvMTNgLcEmKxs2ThFIhayMzIAnTpxAYWGhtGZFss6TlUpAe/bsAQDs3r27WgjICqFYzX9nJXO51b6tHlfvn1bWfSPYZkAbNmyEhMOHgdLSk2RFEvv27fMjJrUQoyxZFRYWorS0NCSy8nq9OHLkSJXIqqCgAD169AAATJgwoVYJyAqhWC2bMWnSpKCQcr0URFb7ro1iigUFBVi9ejW+/PJLKU3MJisbNmxUQi26qCpSR48eRWlpqZ9mZURWLpcrKOjALJ2SugdLC8eOHQPJkMlKXfHv2rULALB3717NFX9NEdCkSZOCIu/0CMVS/jsoKYjOPfdcAOaVfK2W5KjpYorq96JGG8poYnXRZxVU5762Xh06dKANG/9k/PorCZDffKO8/+OPPwiA//73vytlZsyYQQCcMWOGX9sxY8YwNTU1qM8VK1YQAD/++OOgc6WlpQTAiRMnao5n69atBMDJkydrnvd4PIyLiyMA5uXl0ePx+J3Py8sjlDRrfq+8vLyQ5NTPDA8P95OLiooK+mwVl19+OQFQCKE5Rl888sgj0rIkOXr0aM17rgXfccv0bUXeyv0LRZ4kn376aT85s/GzVy/lVQ0AsIganGGTlQ0bpwhffqn8AhcuVN4vWLCAAPj1119XynzyyScEwOXLl/u1vfTSS9m8efOgPmfNmkUA/OGHH4LO7d+/nwD4/PPPB53zeDzMyMggACYnJwdNTh6Ph1FRUYakIYTQnBSFEJb78sXIkSOlSeWGG25gQkKC7nlffPnllwTAheoXYILBgwfztNNOk5IlyVatWvHCCy+0JH/xxRebylm9f7Lfi2//ERER0v2TrBWyqkM6ng0b/yyouZxVq9++CrugrM/KalZ1NdVS4DnVTLRz587KcQSaiWT8JLImO7UYoBp2bVYMMCUlBeHh4UG5EbWwbds25OTk6J73xY4dSvrSzMxMKfk9e/YgNTVVShbQ3oZgBLPgFhVW718oPjHZMP3ahE1WNmycIqg+KzXAQiUrWZ+VFbIqKCjAmWeeCQC4/fbbLRORjJ/Eiu/lsssuAwDcc889pgS0adMm5OXlSflPtm7dql8kMAA7duyAw+GQJqDdu3dLFYoEFIuV1mZuI5hFavoiPz8fKSkpuO6660zvX037xCqLL86apRRfrIFaVoBNVjZsnDLs3QtERgJqjIQeWUVFRQXlo7NCVmaBDzKTk8zqXF3xq3t5jFb8W7duRVlZGRo3bqzZry82bdqEBg0amMqp/Vohq7S0NOmNtVbI6tixYygtLZUmq7KyMhw7dkxKs/L9DJmsHur3oqJaNbG6VnzRhg0b1Y+9e/03BO/fvx9Op9NvwtJbnWuRVUFBAR566CEAQNu2bSvJyExzkpmcJk2aFESYWqvzwYMHo7y8HI8++qjhin/9+vUAUK1kdfz4cRw4cMCSGTArS65G7PHjx3H8+HFpLUxPI9aDGmUpq1nRQnkVALjyyisBABMnTpTSxGS+awB1r/iiDRs2qh9aG4KTkpL8zF1apFRaWoqjR4/6HVe1JzXR7NatWyu1JzPNScZMlJ+fj7FjlSILRqHb69atAwA0b97c8No3bNgAAGjSpImh3JEjR3DgwAHUr1/fUA5Q/FWAPvkGYvv27Zb8VQCkNSurZCVT9NIXJ06cAElpsrJS3iQ/Px933XUXAPMw/TpbfNGGDRvVB60ktoGTW6BmVVBQgIYNGwIAnn/+eSntyUxzUs1EKknqTU7qOI4cOaK7Ol+7di0AoFmzZobXvmHDBkRHR5tO/ps2bQIAKc1KJSsrmpUsWe3evRtAzZOVrGZlJQkwYL1wZL9+/QAA33//vbEmVpeKL9qwYaNmEGgGNMu4rmpPf/75JwDFPyWjPcloTv369YPX68WLL76oOzn9/vvvyMvLM5wg16xZA4fDYWre27BhAxo3bmyaIcEKWan3QEazKi4uxr59+yyTVU2ZAdVITVnNSiUr2bIpVmtxqbkYTf15tVh8UT5lrw0bNqoVgWbA/fv3+5nFCgoKsH79eqxduxb169fHsWPHDLWnLVu2BH1Gbm4u8vPzUVZWhpEjRwJQNKdJkyb5EdKKFSsAAG3atNEd76pVq9CqVSvDa1LHajYprl+/HqeddpqhDGCdrIQQUn4oNdikps2AsqHrVs2AoWpW1U5W6jN0zTVKkEVenkJUp6L4og0bNqofJ04Ax47pJ7FVtSg1+/WWLVsqJ8BAqNqTkVNcJaGPPvpIU3NSyUqPQMrKyrBmzRpTslqzZo2pv6qsrAybNm0y9VcBClnFxMRIaSjbtm1DRkaGVFl4dY+VbICFVc1KjezUS3sVCFWzkjUDHj9+HEAdICvALr5ow8bfGYEbggsKCrBr1y5MnjwZ9evXx/jx44O0KD2o2tNVV10FQNspvnTpUgBAu3btNPv47bffkJmZqUsKGzduRElJCVq2bKk7Dq/Xi3Xr1pmS1bZt21BaWmopElAmoaqVsPXt27cDkNesdu/ejfj4eGmfz/79+5GQkCAdFl/TmpWVAAvAIlnVEurOSGzY+AfBd0NwQUEBrrvuuspzWuY8PfhqT2FhYYiOjsbhw4eD6hYtXboU0dHRugSxYsUKUxMgAEPNatu2bSgqKpIKrgDkw9YbNWpkKgcoZNW2bVspWavZK6zssQL0txzo4S/rs6pF2JqVDRu1jIIC4JxzlP+vvx4YP/5eFBUVSbX1DVcP1J4WLVqE9u3baxbYW7ZsGU4//XTNLBClpaVYtWqVIVn9/vvvAIAWLVroyqxZswaAedi67B4rktJ7rEhi27ZtljYEh4WFSRFKQUEBvvrqK6xbt06qvEZBQQE+//xzbNy4UVr+mWeeAaDcE5lCinXGZ1WLsMnKho1ahLrhv8Jfj927gf375fakREVF4eabbwYAfP75536+p7KyMixbtgwdO3YMauf1erFs2TJdE+C6detQUlJiGPCwatUq00hAK2HrkZGRplrN3r17UVhYKEVW+/btw4kTJ6TIqqCgAK+88gpKSkrQoEEDQ3JQfYeqGc2svIYqr5KDrLxasFKmfEdBQQHGjx8PAOjTp48Uuf0dyMrOum7DRi0iL0/JtO7/0i7hIIRgVFSUX7bxF154gQC4fft2v37V0iBambHXrVtHAHz77bc1x/Thhx9qZnb3RZs2bTho0CDDa7v++uuZkJBAr9drKHf++edLZS+fN28eAfDLL780lPN4PExPTycApqSkGGYHt5qxvKbLcViVtzp+FV988QUBcMmSJYZyKt5//30C4Pr166Xk7RIhNmz8zSCEFll5CPiXcVBLNLz66qt+7YcOHcrs7Oygft955x0C4Jo1a4LO/ec//yEALl68WHNMd999N10uF4uLizXPl5aWMiwsjLfffrvhtfXt25edO3c2lCHJFi1a8KKLLjKU8Xg8TE5OJgBmZGToTsY1TT5Wy2vUtHwotalk76Uv/v3vfxMAN23aZCpL0i4RYsPG3w3aVqrzASgVetVIvquvvhoA0LVrVz/JBQsWoHPnzkE9LFq0CLGxsZrh4MuWLYPL5dINjlixYgVatGgRVGVXxR9//GEaCQjIha2Xl5dj48aNhv4q1TSmhn/v3LlT1zRmtcS71YziNV2i3urxUKsEy9xLX9hmQFuzsvEPh8dDRkT4a1bh4f9HBBRMvPHGGxkdHc3S0tLKY3v37iUAPvnkk0H9durUib1799b8zHPOOYdt2rTRHVNOTg6vvPJK3fOfffYZAXDBggW6MkeOHCEAPvbYY7oyHo+HWVlZBMDExMRq0X5qWjPxeDwMCwuT1tysFi6sa2ZJdUyJiYkEwOzsbClNzDYD2rDxN8Tw4covTwjFhzV48H10Op08cuRIpUz79u3Zt29fv3bTp08nAM6cOdPveElJCcPDwzlhwgTNz0tLS+NVV12lee7gwYMEwCeeeEJ3vGr596NHj+rKLFy4kAD42WefaZ63MilbIaCaJh+SHDJkSOXny5R4v+GGGyzJT5kyxW/c1elzC6VKcCg+MZusbNj4G+KSS8jc3JPve/fuTd/fw7Fjx+h0Onnvvff6tZs4cSIdDkcQaSxdupQA+OGHHwZ91o4dOwiAL7zwguZYfvnlFwLgN998ozveoUOHmq7Ek5KSDH0iVkjFimwok+uFF15oiUyGDx+u6SfUw+OPP25K7r5QA2Dee+89KXlfwjUbf21oYvR4yPBwhU7y8pT3VYBNVjZs1AF4vWRKiqJdkWRxcTEjIyN5yy23VMr8/PPPBMDp06f7tT3nnHM0o+gmT55MQDty65tvvtHUxlS88sorBMA///xTd8xGkYCyZGFlhW/VlPbYY49ZIp+LLrqIzZs3N5TxRefOnYO0XCOMGTOGycnJ0vKzZs1ioBnYDI0bN+YVV1xhKlfTmhg9HjIqyt+uHRVVJcLSIys7wMKGjVrE6tVKqqVevZT3S5YsQVFREbp3714pM3fuXABAly5dKo+RNAyuiI+P18z0oKZZ0svssGLFCtSrV09zz1NBQQHy8vKwYsUKzJkzp0oBDlYCCfLz8zF06FAAEvWUAKSnpwMAVq9ebVpYEABWrlxpmuPQF+vWrUPTpk2l5Tdv3ixVf0uFmk0jIyNDus3+/fulkuSq5V/U/XHVWiUYsIsv2rDxd8WsWcpflazmzJkDAH5k9euvv6J58+Z+2So2btyIAwcO6JJVx44dNfPnLV26FA0bNtRN46OmWQpsq0aRqVFmR44c0Ywik41OmzRpEiIjI/2O6VafhbKROSUlBeXl5aYEtGTJEsTExEglxi0qKsLGjRvRunVrU1lAIYWDBw/WClnJpn4qKyvDwYMHpdM55efn49xzz0WTJk2kqgSblZPxg1180YaNvydmzQIyMwFVCZozZw6aNGlSmXeOJObOnRsUsj5//nwAQKdOnfyOFxcXY8WKFejQoYPm5y1dulQ3c4XX68XKlSs10yxVt8aUn59fmf9QRluaP38+unTpIpXAdsmSJWjbtq1mKqlArFmzBl6vV5qs1MrHsmRFElu2bEFeXp6UPKCEk0dEREhnXD948CAA+fIjAHD06FHExsaayqmaWFxcHABzTcwuvmjDxt8QpEJWvXoBQihkMWfOHD+tav369di/fz+6devm13b+/PmIjo4OMl+tXLkSpaWlmmmWjhw5go0bN2qSVUFBAXJycnDs2DEUFBRUSWMK3J+ltxIXQiAyMhInTpwwXOEfPHgQa9as0dQiA1FeXo7ly5ejffv2prKAcr8A1BhZ7dmzBydOnLCsWWVkZEgRM2C9sCMgT1aAQlgjR45EfHy8uVm1Fosv2mRlw0YtYf16YNcuoHdv5f3atWuxf/9+TX+V1mbgjh07BiWpXbRoEQBoktXy5csBBPurVBOfan46cOBAkInPisZ0+umnw+l0mmpMs2fPRpcuXXQ3H6tYuHAhAH+fnR7Wr1+P48eP62qPgVi5ciXCwsKkMr4DClm5XC5p8tm8eTMAWCYrWRMgcLJWVk2RFaBo7FLlUPLzgbfeAlTZvDzlvV180YaNvy70/FU9evSolPn1118RHx/vl928uLgYS5cuDTIBAgpZJSYmBk2OBQUFGDx4MABgzJgxfkQkY+KT9TF5vV5s3LgRw4cPh9fr1V2JHzlyBMuWLfO7Vj3MmzcPQgicccYZprJLliwBAEuaVYsWLaQzM6xbtw4NGzaUKugIhEZWO3futERWVqsQAwpZqaY9GZSUlEjX7rKLL9qw8TfDrFlAWhqgWpRmz56N1NRUv1X+3Llz0aVLFz//y/Lly1FSUqJpFlu8eDE6dOjgZ0JSNSfVt7F9+3Y/zUnGxJefn19JOkYa07Jly3DgwAH069fP8Np//fVXeL1e9OzZ01AOUMiqZcuWUpPrkiVLEB4ebli6xBcrV66UNgECoUUCArDks1LNgLKoLc3KTAOubZiSlRAiRwjxsxBitRDidyHEeA2Z3kKIw0KIZRWvB2pmuDZs/DUR6K8CFM2qR48elURz+PBhrFy5MshftWDBAgDwI6uCggLk5uZi6dKlmD9/viXNSdbEd+jQIWRlZRlG5M2YMQMA0LdvX8Prnz17Nlwul6lpjyTmz58v5a8ClACSNm3aSGk+R44cwdatW6XD1r1eL9avXy8VZahiy5YtSExMlCaGo0eP4ujRo7WiWdWIGbAWIaNZlQGYQLIFgC4AbhBCaGW0nE2ybcXr4WodpQ0bf3Fs2gT8+edJE+D27duxadMmP3/VggULQFIzEjAjIwNZWVkATmpO27ZtAxAcVm6mOU2aNClocg808ZWVleGHH37AOeecY+j4/+mnn9CiRQvTyXb27Nlo3769aWXbDRs24MCBA1L+KpJYsmSJtAlQLSApq1lt374dRUVFNRq2vnPnTgDyYeuAQlbh4eFBIeZ6KCsrQ1FRkSWyKikp+etpViR3klxS8f9RAKsBZNX0wGzY+Dth5kzlr9n+KiFEkFahbgZWSaOqmlN+fj6aNWsGl8ula+KbP38+Dh8+jIEDB+peU0lJCX755RdTrerEiROYP3++lL9KDdGX0aw2b96MQ4cOSQdXWCUrq5GA6phCISurZsCkpCTp6EG1qvA/QbOqhBCiPoB2AOZrnO4qhFguhPhWCKGpZwshRgshFgkhFu3du9f6aG3Y+Iti1iwgORlQq2zMmTMH0dHRfpF6c+fORevWrSt9NWp4+bp16zBz5kxLmlPgniNfzenIkSNYu3YtbrvtNt2giG+//RZOp9PQFzV//nwUFhaa+qsWLlyIkpISaX+VVoi+FkIJroiOjpbyJxUUFOCyyy4DAIwYMUKqNH1eXh5Wr16NH374Qap6b0FBAYYMGSL9GWqbDz/8EDt27ED9+vWl2qhViK1qVnWNrKRz+QGIAbAYwMUa5+IAxFT8PwjAerP+7NyANv5JyMsjL7745Pu2bdvyrLPOqnxfXl7O+Ph4jhkzhqRxTjezZKO7du0iAMbHx2vmy/v4448JgLNnz9Ydb4cOHdi9e3fDa1IT6x44cMBQbtKkSQTAffv2GcqRZMeOHdmnTx9TOZK899576XQ6WVRUZCrrm2+wujObh5JMt7bakOTvv/9OAPzoo48M5XzRtWtXv+fTFHUl6zoAN4D/A3CbpPxmAMlGMjZZ2finYPNm5Zf24ovK+0OHDlEIwQcffJCkMgllZGQQAJOSkkwJyazMxRtvvEFAv0z9sGHDmJSUxLKyMs3zKtlNmjTJ8Lq6d+/Ojh07ml7/Oeecw1atWpnKFRYW0uVy8a677jKVJcmBAwca1ulSURdrRtVWG4/Hw/T0dAJgSkqKXG0qKiVqzj33XClZknWDrAAIAFMBvGAgkw5AVPzfCcBW9b3eyyYrG/8UvPee8ktbtkx5/+233xIAf/rpJ92JVGtSgk/263bt2tHpdGpqTmeffTYbN25Mr9cbNJbS0lLWq1dPt74VSU6dOpUAuHjxYl2ZY8eO0eVy8c477zS89rKyMsbGxnLs2LGGciT5v//9jwD4xRdfGMp5PB7m5uYSAKOjo00n4LpWyr622oSqiXk8HrrdbikttBJ1hKy6V1zoCgDLKl6DAIwFMLZC5kYAvwNYDmAegG5m/dpkZeOfgquvJuvVI8vLlfeq+erYsWO6E6nT6dSdYA8cOEC3283bbrst6LP2799vSCIzZ84kAP73v//VHe+VV17J1NRUlqsD1oBKuN9//73htS9evJgA+MEHHxjKkeSzzz5LANy5c6euTCgTcE1XE66rmlWomphdfNEmKxv/UDRqRA4erPzv8XgYHh5eOWnoaVAA6HK5NCeNt99+m4B2mfl///vfBMCFCxdqjuW2225jWFiYbmHAsrIyJiUlccSIEYbX9K9//YthYWE8fvy4odwLL7xAANy2bZuhnO8kabSar41J3vc7kpmwa9NnFRkZKd0mFO3NLr5ok5WNfyj+/FP5lT33nPYEpTeh5ObmMjY2lpGRkUGmvrPOOouNGjXSNPOdd955zMvL0zzn9XrZuHFjDhw4UHe88+fPl9KE2rVrx14SK+lLLrmE9evXN5SpqZL3vv07HA5LxHDJJZdU9itjCvN4PJXasKzp7NVXX/UjA5k2999/v/S4QiGeulx80SYrGzZqCB4PmZys/MrS08mkJGNNyncinTBhAgHwyy+/9Otz586ddDgcQSXvSfLw4cMMCwvjrbfeqjme1atXEwBfe+013TE/9NBDFEJw7969ujL79u2jEIIPP/ywwbXL+5WsTKqhTMAnTpygy+VibGysNPmcf/75lqoJHzhwgAD45JNPSreZPXs2AfCbb76RbvPRRx8RAH/77TdT2VC0N8v3Ny/Pn6jUl5EmZgKbrGzYqEVoLTgB7VUrAMbFxflNpJdddhmTk5NZXFzs1+/LL79MAFy5cmXQZxYUFBAA58yZozmmJ598kmYmuS5durBz586G1/bJJ58QAP/3v//pXHvNlVK3agojTwZufP7554bXpcLr9TI9PZ3Dhw+XkifJX375hQA4ffp06TbvvvsuAXDdunXSbVS/ntl2ARUej4cxMTHS2ptlghNCm6wMNF0z2GRlw0YtQnvBma1LVqtWrapse/DgQYaHh/PGG28M6rdbt25s3bq15mdefPHFzMjI0A2MOPPMM9m+fXvdMe/bt48Oh4MTJ07UPO8bUi+E4Hvvvadz7dZW51blR48ebclE9/jjjxOAobboi23bthEAX3rpJSl5knzttdcIgFu3bpVuc99999HhcAQtSIxw2223MTIyUtPMq4chQ4awRYsW0vJqNKgUwdWiZmVnXbdhowagnWQiOIODEAJNmjTxyxr+6aefori4GCNGjPCT3bJlC3799VcMHTo0qJ/jx4/j22+/xUUXXaRZMXfv3r349ddfccEFF+iO+ccff4TX68U555wTdE7NR7hlyxYAyiL3+uuv18ygIFu4UcX9998fdMyolPqRI0eQlpYmVfIeAH755Re0bNlSOvGrWk9LpkSJit9++w3x8fHIzs6WbrNhwwbk5eVZysG3fft2ZGVlSadaApR6ZYmJidLyF110EQDgqaeesosv2rDxd0dwej4CWAinswny8vIghEB6ejpI4s477/STnDp1Kpo3bx5UUPHjjz8GAFx++eVBn/fdd9+hqKioMn1PIKZPnw6ShmT17bffIjExUXOSli1zD8hndVcRHx8PAEhLSzMt4Oj1evHDDz+gf//+UhN2eXk55syZI5XqScWCBQvgcrmCilYaQS09YoVENm7cKF0EUoVKVlZglayKiooAIKiemSbs4os2bPy1cfvtgUd+BrAe1133ADZv3gyv14tzzz0X0dHRlTnoAGDTpk2YPXs2hg8fHjTxffjhh+jUqRMaNWoU9HmffvopkpOTdZPFfvXVV8jOztacgNW8du+99x5OnDiBjz76KEjGirZkpdQ9AHz55ZdITEzEn3/+aVjAEVBKguzfvx8DBgzQPB+I5cuX4+jRo5bIauHChWjTpg0iIiKk5Enit99+s1QnC1A0K63v0gg7duyoW2QF2MUXbdj4K0PN05yZqdSviop6AzExiXj+eUXzOXbsGP7zn//g8ssv90sw6vF4AADD/r+9Mw9vqtra+HsytEnbdG5pSyfKZBGUeRBEJkFQEJBRQESkonAdQFFRHEGvM4oDg6JAufKpiCKI4IByRUFBRFFAAZmHMlRogdIh7/dHekKGk+Sck1JS7/49Tx6aZK99djbJXmetvfZaw4e79bd9+3Zs2rQJQ4YM8bpWSUkJli1bhr59+ypWwC0pKcGqVavQu3dvLwUou/dkpXPmzBmvEveANmtp2LBhqFu3rt+s7jJlZWVYvnw5rr32WlXVe1euXAkA6NatW8C2gKM0CQBVGd8Bh+W2YcMGTS7AgwcP4u+//0aTJk1Uy5w4cQKFhYWaLCuSoWdZVSNCWQkEVUxpKTBrFtCrF3DgAHDo0BGUli5BXt7Nzrv19957D8XFxbjlllucciQxf/58dO7c2UsJLFq0CJIkuVlhMp9//jmKi4txww03KI5n9erVOH36tKILUK17b9q0aV6Whi9r6fDhw9i+fTsmT54c0FL69ttvUVhYiOuvv17xfU9WrVqFpk2bolatWqrar1mzBnXq1FG9l7Rjxw6cPHlSk7LasmULAPWlRwCHCxCAJmV14sQJnDt3TpOyKi0tRXFxsVBWAoHAmw8+AA4fBv71L8fzuXPnory8HHl5ec42c+fORcOGDd2qAq9btw47duzAiBEj3PojiUWLFqFjx46KC9XixYsRExOjWFfKtdTFbbfd5mUxqXXvDRs2zNl/IGvpgw8+gN1uV9xb82Tp0qUIDw9X5dYrKirC2rVrVbsASWLNmjWaXYCA9uAKQJuy2rFjBwBocgMeOHAAgLZCjYWFhQAglJVAIPBmxgygfn2ge3fHBv/s2bPRpUsXNGzYEACwbds2rF27FqNHj3Zzyy1YsABWq9XLQtq8eTO2bdumGAVYVlaGpUuXok+fPl77RLKLTy6+t3fvXi8Xn1r3Xnl5OTZu3Ii+ffsGtJYWLVqEJk2aoFEjpYLi5yGJjz/+GF27dkVUVJTftgDw9ddfo7y8HN27dw/YFnDM87FjxzQrK6vVGnDsrmzZsgWpqalISEhQLSMrq5ycHNUysrLSYlmdOHECgFBWAoHAgw0bgHXrgPHjAYPB4bbavXs3xo4d62wzd+5cmEwmt9D0c+fOYdGiRejXr5+z+KLMokWLYDQaFd18q1evRmFhoeJ7alx806ZNg9FodGuj5N5buXIljhw5gptvvtnv59+3bx/Wrl2ryqrasmUL/vrrL00uwIiICLRv315V+zVr1gCA5kjAFi1aqNo/k9EbXFG7dm3VpekBoazEoWCBoAq56SYyKoo8edLxvE+fPqxVq5bz4GdpaSmTk5PZt29fN7nFixcTAFesWOH2ut1uZ1ZWFq+55hqva7lmJ8jIyPA6vKkmM8SBAwcoSZJXBg1PBgwYwKSkJJaWlvr9/M8//zwB8M8///TbjiSffPJJAuDBgwcDtiXJ+vXrs1evXqrako7s8ampqaoP0JaWltJisfhMV+WJa0opm82mulaUZzJjNXL5+fmMiYkh4MgbqfZaS5cuJeA7sbEScoaSX375RbWMyLouENQgCgrIsDDyjjscz/fu3UuDwcDJkyc72yxZsoQA+Mknn7jJ9u3blykpKSwrK3N7/bvvviMAr2wRatLi1K5dO2BmiCeeeIIAuGPHDp+f69ixYwwLC+Pdd98dcA5atWpFtb/tli1bBkztJLNr1y4C4PTp01W1t9vtTE9P5+DBg1W1dy2AmZiYWPVpiYKQC+ZaCQkJBMC0tDTVCk7OYKHmhsOJUFYCQc1h2jTHL0rOnPTII49QkiT+9ddfzja9e/dmamqqm1I6evQozWYzJ06c6HzNs1rwnDlz3K6lJkXRdddd5/W+6yJXVlbG9PR0du/e3e/nevXVVwmAmzZt8ttu586dBMBnn33WbzuS3L9/PwHwqaeeCtiWPF/9eOvWrQHb5ufnOxV1XFzcBVEgukpp6JSr1rpUJGfNmkUA3L9/f8C2ToSyEghqBmVlZHo62a2b/LyMaWlpbuU4Dh48SKPR6FW2XVYGP1eWElaz0ARy8RUXFzMuLo6tW7dmVlaWoovv448/JgB++OGHfj9by5Ytefnllwecg6eeeooAuHv37oBt5Vx6v/32W8C2pCPvYUZGRkCXXnUpHj2lSvTKVVtdKjrmLy4ujgCYnp6u2hoTykogqCG8/77j1yRX9JDdfa4lPuSEqp5Zttu0acPLLrvM+VzNQlOrVi2/bWRl4CsDO0n27NmTaWlpXq5HV7Zs2UIAfOmllwLOweWXX8527doFbEeSPXr0YL169VQpnwtZwp6sXmVQXZaV3rpfeq0xoawEghpCx45kdjZZXu543qNHD6anpzsVgd1uZ/369dmxY0enTH5+PtPS0giAsbGxzkVBzULTtGlTr/flhaWiooINGzZkq1atfCqDXbt2UZIknxnWZe677z6aTCYeOXLEbzu5VtbLL78caKp48uRJL7enEtVRwp6sXjdbfn6+zwrQ/mS0lkWpLqVYOUBRKVggqAls3uz4JT33nOO5vHfz+OOPO9t88803BM4HSvhb7AItGr/88gsBsH///oouvuXLlxMAFy5c6HPMDz74IA0Gg9/aVmVlZUxJSWGfPn0CzsFjjz1GSZJ44MABv+3y8/OZmJhIAKxVq1ZILLj5+fkMCwvTrHimTp3q1r9al1lubi7DwsJUlzghHfMrK90LUpeKOl2bolKwQFBzuPVW0moljx93PL///vtpNBrdNqhHjhxJm83G4uJikv4XVdcS6UoLzY033sioqCgely/owdVXX820tDSfdZLOnTvH5ORkXn/99X4/l6z0Au1p2e125ubmBixzfyGLMrpeQ6vlQjpcsUajUZMCkcvS79q1K2BbGbvdzvj4eI4ZM0a1DHm+sKZr3bNAuM6Fms+ky7ISlYIFgprB8eMORXXrrY7nJSUlTEpKYr9+/Ug6FoyMjAwCYFRUlCpXn2w5KZ192rlzJw0Gg08X2q+//krAf5Td//3f/xHwPtPlycCBA5mQkOC3OKBryHd8fHyVWkp63VJpaWkMDw9XrXgqKiqYkJDAkSNH+m3nyfDhw1mrVi1NhRAPHDhAQFthR/L8mbQzZ85okrPZbLzzzjtVtdXl2hSVggWCmsFzzzl+RZs3O56/++67BMCVK1f6/fHLQQNKC/GAAQMYHR2taDndfvvtNJvNPsOKb731VlqtVh47dsznmDt37szs7GyfFYVJ8vjx4wwLC/O70F1oS0mPlbR9+3bNymDjxo0EwAULFqiWIcm6det6He4OxIoVKwiAX3/9tSa5UaNGMS0tTZPMmTNnCIDTpk1TLeO6P6bKwhSWlUAQ+pSXO4IqXGImeNVVVzEnJ4cVFRV+LYNbb73V6/WIiAhn+PeUKVO8rnfo0CGGh4fzVtmM86CgoIDh4eG87bbbfI5ZDoR4+umn/X42OZrwp59+8tnmQltKpaWltNlsjIiIUG0lPfvsswTAPXv2+G3nyr///W8C4KFDh1TLHDlyhAD4zDPPqJZxHZ8vF64vrrrqKnbo0EGTzO7duwl4n9ELRPfu3VUf1hZ7VgJBDeDjjx2/oPffV47s82VJAI4zLDk5OczMzHRbiPv378/o6GieOHHC63oPPPAAJUnyCn2XkV1F/vY17r77bprNZp/Rfa4BHmazuUo35J977jlFBe3rGp9++ikBcMmSJT7H4MkVV1zB5s2bq25Pkl27dmXjxo01ychpjNasWaNJbsSIEaxdu7YmGZLMyMjgTTfdpElm/fr1BMClS5dqkmvfvj27dOmiXkBEAwoEoU23bo6DwPPnK7vD5FQ3no/Y2FgC4FdffeXW36ZNmwiAjzzyiNe1/v77b0ZHR3PgwIGKYykpKWFKSopiDkGZM2fOMDY2lkOGDFF8X6tbT6ulNGHCBEqSxPT0dFWW0rBhwxgXF8eSkhKfbVw5dOgQJUniE088oao96ZiT8PBw1fkAZR588EGaTCbNe0iXX3653/8jJUpKSihJEh977DFNcp988gkBcP369ZrkLr/8clURoG6Ic1YCQWjy+++OX8/Uqb4X7cjISK/XrFYrIyMj2aNHD68++/bty5iYGBYWFnq9J7sHfbnl5Hxun332mc8xv/POO373S7QqHy2W0tmzZxkfH88BAwb4HJ8rRUVFjIiI8OvS9GT27NkEtCVgXbVqFQFw+fLlqmVIslOnTmzZsqUmmdLSUoaFhXHSpEma5OR9uPnz52uSe/PNNwnALd2XGurVq8ehQ4dqkqkOZSVKhAgEGli4EMjOBuRyR/HxvgsYnj59GvXr10dmZqazYGG3bt1w+vRpPP30025tN23ahI8++gj33HMPYmNj3d47e/Yspk+fjh49eqBZs2Ze1yGJl156Cbm5uYq1nhYuXIjs7GzcfPPNMJlM2L9/v+J41RZilNmxYweMRiPS09NVFWQ8ceKEW6kUf3z00Uc4c+YMhg8frqo9ACxZsgQ5OTmaynV88cUXMJvNmsqIlJeX44cffkC7du1UywDAH3/8gdLSUjRp0kST3K5duwBoq30FAAUFBQCA5ORkTXKnT59GZGSkJplqQUmDVcdDWFaCmoavveS4OOXs5vBwwRw4cIBWq1XxrvX6669nbGws//77b6/35PM8q1evVhyXfOB41qxZCmNW79rTYlkVFBTQYrGoPi/UoUMH1qtXz28Eois9evQIGLHoysmTJxkWFsYJEyaoai/TrFkzt6wiavjpp58IgP/5z380ycmRopvl0FGVyP//akupyNx1112MiorSJEM6wt3VZNh3Q7gBBYLQwVeUrtncUnGRv+KKK9zkb7vtNppMJq9yHHLotNJeS1lZGbOzs9m2bVuf53n69evH+Ph4nj59WmHM6hXQnDlzVLv15IwKarKgy2e/npNTfATg0KFDNBgMfOihh1S1J8+fHfvvf/+rWubo0aMEwCeffFK1DHleeWh1r8n7XP7OrSkxceJEWiwWTee5SHLIkCGsW7euJhm73a557kkKZSUQhBLK5x8/IwAOHDjQmfooIiKCYWFh3Lt3r1P2jz/+oNFo5Lhx47z67d27t0+rasGCBQTcE+KS56P25Ig8XxviWiL25PRBKSkpfgMgzpw5w6SkJF533XUB54wkx48fz7CwMB49elRV+5deeokIENXoydChQ5mUlMRyOTmjChYtWkQA/P7771W1d42UNBgM6jOSU8f5pSDlSLJLly5eN0yBOHv2LAH1pVucCGUlEIQO3pZVCYH6NJnqOyPW5GKJnuekBg0axMjISB4+fNjt9R9//NHn3X1FRQUvvfRSNmrUyM0dpuTas1qtQbn2Tp48yfj4eF577bUB50Gud+TLLelKcXExY2JieOONNwZsK9OyZUvVBRxJR/qo6Ohojh49WlV7V6UjSZKqwIVgMpJXZ6FGV1mz2axZyR07doyA9gwbQlkJBCHEpEmeysoRoTdpkiMCr6Kigm3atGFqaiqLioqcchs2bFBUYCR57bXXMj4+nidPnvR6Tz7L47mYanHtuSZb9bfgTZs2jQD4ww8/+J0DOaN7ixYtVLml3nrrLQLqzyPJh5bVlCSR+ewzh3XrWX1ZCb0KQHdG8iBk9coFo+Tkg8RvvfVWwLZuCGUlEIQGp0+TdeqQKSlkRgYJ7KEkRbBly37ONnKy0bfffttNtlu3bkxMTPRSSD/88AMB5XQ4drud7dq1Y1ZWFktLS93e0+Lau/rqqxkZGcmMjAyfrr1Tp04xPj6evXr1CjgP8tkdtcEFrVu3Zm5urur9locffpgGg0F1Non8/HxGRUURADMyMi6Y0tFbbDEYWb1ywSg5Oc9jYmKiJpejUFYCQYggW1Wy52vAgAG0Wq3OqrinT59mRkYGmzdv7uay+/zzz31aCr169WJCQgJPnTrl9np+fr6zuKJSWXa1i9HKlStVWSlyUUg1h0evuuoqZmZmeilQJeTAETU1rlzzJVoslgvmXqtuBRCMbHUq1qAKL5KhoawAZABYDWArgN8A3KXQRgLwCoAdAH4B0DxQv0JZCWoKP/9MGo3kqFGO5/JBUtd9JjnV0TfffON8raKigi1atGBWVpZXFoZ169YR8M7Rp2bRyM/Pp8Fg8NumoqKCTZs2ZXZ2tt8MEEVFRUxISGDPnj0DzoO8v/bCCy8EbEuSeXl5tFgsiqmjXKlO19zFcK0FKvniT05Pna3qnJfKgYZGuiUAqbLyAWAD8AeARh5tegFYUam02gJYH6hfoawENYHycrJ1azIxkTx2zLGZ37BhQ9atW5dnz54l6Tg/FRERwRtuuMFNVg6nlgsuunLNNdcoWlVqFg3ZFRcbG+vTtSdHEforwEiSzzzzDAFw3bp1AediyJAhjI6OVtxf8+TUqVOMiorizTffHLBtdVsQWqvuyrz44otuY1NrddjtdsbExGhKyCvTo0cPSpKkSS4/P5/h4eHVYnGGdCJbAB8DuNrjtVkAhro83w4g1V8/QlkJagIzZjh+JXL1CDlDt2t6nptvvplhYWHcuXOn87XS0lLWq1ePjRs3doZTe4abDx482Ot6gRaNs2fPMicnh7m5uT5dcWfPnmVWVpaXS9KToqIiJiYmKqZ+8mTPnj00Go289957A7bNz89nfHw8AUcYfKAFVu9CKdcJ06rkbrrpJmf/WhTHzJkzCag7W+bK3r17CeiIsKMjA7rWxLyko9inls+o27IK1RIhALIB7AUQ7fH6MgAdXJ5/CaClgnwegA0ANmRmZur+MAJBdbB/P2mzkVdfTdrt5L59+xgZGel2pmnjxo2UJIn33Xefm+wbb7xB4HyEmtpw8+joaL+Lhhzd9/nnn/sc9/PPP08A/OKLL/x+PrlcxXfffRdwLiZMmECTyeR2dkwJPe4yvQvl6NGjvWTUWElXXXUVGzVq5LeNEjfccAMzMjI0H8794IMPCGhPKEs6FPKwYcM0y02ePJlGo1H1uTPdbs5QLL4IIArARgD9Fd5brqCsWvjrT1hWglCnXz/SYiHlhBODBg2ixWJxljG32+3s2LEjk5KS3A70FhcXMyUlhR06dHAubGoW5M2bN1OSJJ/7G3v37mVERAT79+/vc8wnTpxgXFxcQGupuLiYSUlJ7N69u992rpWOL9R+yfz5872sKzXXatu2LdPS0rzKrPjj8OHDlCRJMbO9P8rLyxkbG8tbbrlFkxxJ3nfffQwLC1OdPV6mqKiIADh16lTN1xw5cqTmUiT5+fnOigBqIitJhp5lBcAMYCWACT7eF25AwT+Kjz5y/Drkg/xffPEFAfDxxx93tlm8eDEB8I033iDpftgUAB999FFn20CurvLycrZu3ZpJSUmcOXOm013ougDLytJfmp9JkyZRkiT+/PPPfj+fbH2tXbvWZ5vqirb78MMPCTjCpdUqnd9++40A+Pzzz/tt54ls8WrJzE6eD4h59913NcmRZMeOHdm6dWvNcvL5vMWLF2uW7datm65rTpkyhZIkqbceQ2nPCo6gifkApvtpcy3cAyx+CNSvUFaCUOXUKUedqsaNydJSR1BFbm4uc3JynEEVJSUlzMnJ4aWXXsqysrKAC3sgi+Pll18m4Dsg4quvviIAvzWN9uzZw/DwcI4YMcLv5zt9+jSTk5N59dVX+22nx0qSQ+61yLRv35516tTRlCpJdkv6KiLpi65du7JBgwaaXXlytGdBQYEmubKyMkZERPBf//qXJjnyfJDMb7/9plk2NzeX/fr1C9zQg7vuuovR0dHahEIoGrBD5RfuFwA/Vz56ARgLYCzPK7TXAOwE8CsU9qs8H0JZCUKVO+90uNzlrRy5bpNrhgT5tZUrV5IMvLDfd999PvdXdu/ezcjISF5zzTWKi2hpaSkbN27M7Oxsv8X+Ro4cybCwMOfZL088Lb9ArjA9VlJubq6mfSTZYlFzFkvm3LlzTExM9OsOVaKgoIBGo5GTJ0/WJEc6rCM9gQ4///wzAWg7YFvJQw89RKPRqDnxLUnGxMRw/PjxmuVuueUWXZWMQ+Kc1YV6CGUlCEV++MGhqG6/3fH8wIEDjIqKckvaWlBQwOjoaLeMD/4W9uPHjzM1NZXp6ele+yt2u529evViRESET/fe9OnTCfgv7y7vd02cOFHxfT0uvfT0dE1Wkmz9jRgxQtGNqcTgwYMZExPjFcLvDzlgQWvBRDmrvK8Clr44deoUzWYz77//fk1y5Pk8in/++adm2f79+7Nhw4aa5YqLiwl4n+FTw8CBA5mbm6tZTigrgaAaKSsjmzYlU1NJOV5i6NChDA8P586dO70sk2effdYp629hHzJkCE0mk+IiKdc48pVl4siRI4yJiWH37t39uq569uzJ2NhYHj9+XPF9PS69nj17qraS7HY7O3TowLS0NKerNBC7d++m0Wj0iqQMRM+ePVm7dm1NbkPScWYpJydHswtQPtcWKLpSidGjRzMhIUHzNUmHldq3b1/NcnorC5OOOdKz1yWUlUBQjTz3nOMX8cEHjuerV692usv8WSZ2u50tW3rXtIqIiOD48eMJKEd0HTt2jElJSWzVqpXPhfeWW26hyWTye7ZHtmhclacnWl1627dvp8lkYqdOnVRZSXJWj9dee83nGDyR95327dunWmbfvn266i0dP36cJpNJc0l5krzzzjtptVpVK2FXGjdurCo7iCelpaU0m8184IEHNMvK34cvv/xSs+wVV1zBrl27apYTykogqCb++ssRxNS7t+NMVWlpKS+99FLnPpE/y+T1118nAA4dOtRtYZ8xYwbj4+PZpk0blpWVeV3z5ptvptFo9Bm5t379egLweRDXNZ+e0Wj0SqDrilbLqnfv3rTZbF4lTZSw2+1s27YtMzIyVIdnnzx5kjabTVPpEPJ8oIPrAWw1vP322wQCZ5VXIjc3V9XBaVdcQ/5jYmI071lt27aNgHL2k0DIgRnbtm3TLNukSRNd1pxQVgJBNWC3kz17kpGR5Msvu7v67rnnHpK+LRMADA8PZ8+ePd2yRch7UVarVXHRkEPhfd05V1RUsFWrVkxJSVFMb6R1D8pfgIcnspX0zDPPqJq/Tz/9lAA4a9YsVe1J8oUXXiAAbtiwQbVMRUUF69Spw86dO6uWcXXdGo1GzQUTa9euTcCR2kpLwcRgksLm5+czKSmJgLoMIJ7IWVa07APKZGVl8aabbtIsJ5SVQFANLFrk+CUMG+Z7kUlMTFRUVGazmSkpKV4h1LNnzyagnGLnzJkzrFu3LuvVq+czuk+uA7VAzvPkgRZLqbi4mNnZ2UxNTQ14gLasrIyNGzdmTk6OKitJdoHWqVNHVSZ2+RqZmZm8SuPi9uWXX1JLZN3FKJhIBpcUtioUnc1mc15Pq6KLj49XrGYdEKGsBIILy4kTZK1aZIsWZGam8iKTmppKs9nslencaDRSkiSvjfedO3cyKiqKXbp0UczNd//99xMAv/rqK7fXXXMHGgwG1q9f3+fGvJY9qIkTJxJQVwBRPjSr9iCqXCBy7ty5qtqT58vJf/zxx6rae1b2VXutYJRGMLLB1L66mIqOpO59MqGsBIILRH6+e6aYqVP9u/pSUlL46quvOpWJbGl5ntkpLy/nlVdeyejoaO7Zs8frups2baLRaPRK26O00Pir6+TL0vNc1DZs2ECDwcC8vLyAc1JYWMjExEReddVVqqLX7HY7mzZtyrp16yruyXniusdmMpl8Wo2eMnoX4ItRMJGsmYqOJN955x03GVF8USgrwUXGV4YYmy3Jp7JytUp27txJm83GK664wsv1Jacxeuedd7yuW1ZWxhYtWjA5OdkrxFzLQrN3715ardaANa3KysrYrFkzpqSksLCwMOC8TJw4kZIkqT6HJKdJUhMiXZPKyQcrm5+fT4vFokvBXixFF0zpFJJCWQkEFwLl3Ju/EAj3UgAAOHz4cKfsuXPn2Lp1a8bGxnplitiyZQvDw8N5/fXXu1kmnuezlDILqF1oKioq2KVLF0ZGRvKFF17wG1YuZ9l4//33A87JH3/8QbPZzNGjR6uZQlZUVLBJkyZs2LChKqtK7yIc7AJsNpt1LcB6CybKDBs2zDlOLVbKxVJ0QVlloZJu6UI9hLISXCy8qxoUEMgmkMYZM2a4/XDbtm3rpnjkqLoP5MNYlZSWlrJ58+ZMTEx0C7ZQa1HI7rFAi4VcAHD27Nl+P+OuXbtotVrZp08fVS69Pn36MCoqiocOHfLbzrMm1x133BGwb/LilJOvqKhgQkICLRaLZqVRXl5Om82mq2AiSV5//fWsW7eu6vau3H777boVnV7r6B9ZfLGqHkJZCS4WNpvrb+scgSsJWJiS4jiDs3fvXiYmJrJRo0YsKipyyq1YsYIAOHbsWK8+H3nkEQLghx9+6Pa62sV26NChXm08F5pff/2V4eHhARWQ3W5n9+7dGRUVFbD+FEl+/vnnBAKn57kYEXL5+fm6yoeQ50Pw9WRK/+abbwiA7733nmbZiooKxsXF6SonQp4vKaI2utKVhx56SJei031TEGolQi7EQygrwcXglVcc33qTiQTsBBwF/MLC3mV+viObeuvWrWmz2dzORx08eJBJSUls3LixV7j5Dz/8QKPRqJjtXM0d65o1a2g0GtmqVSufoeUlJSW87LLLmJycHDDTeH5+PgFwxowZftvIFpLZbGZiYmLADA3BWDkPP/xwQGWshHyDkJCQoHkBHjRoEOPj43VlnrjrrrsYHh7udrOiFjl5rZ50R6SjOnCzZs10ycpBEn/88Ycmufz8fIaHh2u/KQjF4otV/RDKSlDdfPSR4zfUpw85fz4ZFzedABgT87DTazF27FgC7qHbFRUV7NatG61Wq7Ncg+tibzKZGBcXpxjEIB/u9LXAHzp0iKmpqaxfv77i4V+Ze++9lwC4bNkyv5/x6NGjTExMZJs2bXymcFKykMLCwi5Y+Xm73c42bdowNjaWGRkZmpROp06dWLt2bc2Zx48ePcqwsDDeeeedmuTk8WZmZrJ3796aZcnziYeVokHVUKtWLd588826ZB9//HEC0KWgb7vtNu1WmbCsBIKqZd060molW7cmT5923LEbDAb269fPeRZKviv1zB/39NNPEwDnzJlDUnmxDw8P9/pxy247X26ssrIydu7cmRaLhZs3b/Y59tWrV1OSJN52220BP+fIkSNpMpn8FhfUayHplZOLVL711lsBx++KnG5Ka4FFknzppZcIwO+8+mLjxo0EtJ0dc6Vfv36sU6eOLtnDhw8T8J3YOBCjR49mSkqKLtlXXnmFAHj06FH1QmLPSiCoOnbsIBMTyZwc8sgRcuvWrYyOjubll1/udPNs2rSJFouFnTt3dotu++6772g0Gjlo0CBNJeqPHDnizBrxyiuvKEbtTZ48mQD85vQrLCxkRkYG69evz+LiYr+fU07hFKhek14LacqUKZpdeWVlZWzQoAEbNWqkKmrQlRtuuIGxsbGa0wbZ7XY2btyYrVq10iQn89BDD9FgMGhbtCupqKhgfHw8R40apevaK1euJOB9YFwteisEk+fzLmreKxPRgAJB8Bw9StavT8bHk9u3O7Jv16tXj8nJyc7Q8xMnTrBOnTqsXbu2235QYWEhs7KymJ2dzb/lmiEMvNiXlJSwffv2tFgsPhOnymUnbr31Vr/jHzZsGI1GI9evX++zjWvSVJPJ5Ff5kfospHPnzvHSSy9lfHy8JlfezJkzCajPViHzxx9/UJIkXYUS5YKOWnIVutKoUSN26tRJl+zmzZsJ6EtAS5LPPvssAfgs9RKIBg0acODAgbpk7733XlqtVl2y4pyVQBAEZ86Q7do5bvq+/dYRXt61a1eGhYVx7dq1JB13wr169aLZbOb3339P0j3TAuBdSl5Obqq02Nvtdo4cOZIA+H//93+K49q1axdjY2PZtGlTv5V/5bREjz/+uM82eiL0Xn31Vc0WkuwKXbp0qc82nhQXFzMlJYUdOnTQXM8pLy+P4eHhqrK+ezJmzBhGRET43QP0hZztXEvlYldkV5qvas2BGDZsGNPT03XJ2u12WiwWn1n6AzFmzBjdLkShrAQCnZSXk/37OwIq5CNR48aN83K7yRvSr7/+OsnAi39BQQFTUlJ8LvbynfGjjz6qOK6SkhK2aNGCMTEx3LFjh8/x79u3j7GxsWzbtq1f95lWK8lut7NHjx40mUxMTU1VZSHJZ7b69evns40SU6dOJQDnjYFaDh06xPDwcFV7dJ4UFRUxKipKd4CCrJTVhPwr0b9/f2ZnZ+uSJR31r1wrUGtB3u9SSp6shkGDBumqTExSKCuBQC933+34dr/4ouO5XHPK9a5zxYoVlCSJI0aMULUfVVRUxNatW9NisXDKlCle+1Aff/wxJUnioEGDFBPYkuejDT/66CPF912tOkmS+MILL/j9nFr3n+Q7f7VFEuVSJ1FRUZqKJBYUFNBms+mqjfTggw9SkiRN4deeWUKmTJmi6Zqu8moiI5Xk5f+3yMhIzfKk40bGZDLxwQcf1CxLOo5Q6HG5yuiuEkwKZSUQ6OGllxzf7Lvucjz/8ssvaTQa2atXL2c4965duxgXF8fLLruMp0+fdsr6S2bbo0cPGgwGxcVg8+bNjIyMZMuWLd36c0UuiuerjLtWl97Zs2cZFham2rLasmULLRYLe/Xqpdot9/777+uKTrvrrrtoMBj8Vjj2xHXvTWtZjGDLalxMebmP1NRUAmBiYqIuZSf/X/kq5hmItm3b8uqrr9YlK5SVQKCRDz5wuP769XO4Av/880/GxcWxUaNGPHnypNuCKEkSX5RNLzpCln0pq8jISALnw9ddOXz4MDMzM5mWlsYDBw4ojmvLli2MiIjglVde6dOtp8WlZ7fbecsttxCAqsOcJSUlvPzyy5mUlKR6H+jkyZNMS0tjs2bNNEXy7dq1i2azmWPGjFEtc7HqR4WCfFUpu9jYWAJgenq6LmWXm5vLAQMGaJYjKZSVQKCFtWtJi4Vs29YRXPH3338zNzeX8fHx3LFjh99F4eeff2Z8fDwTEhK88quZTCYC4NSpU72uefbsWbZr145Wq9Wr6q3nweHo6GgePHjQ5/i1uPTkulMPP/yw23V87T/JOQ21BEj861//oiRJqkvBe9ad8pdBw5NgFvxgkt2GgnwoKDuSTEtLU53I2AuhrAQCdWzfTiYkkPXqkQUFjkSkPXv2pMlk4urVq0n6ThabmprKxMREpqenc+fOnW6Lv3y3On78eC/Xmd1u5/Dhwwl4ZzZXe3BYpqCgwKkUAy1a3333Hc1mM3v27OkzS4UrX331lepDxTI//vgjJUlSzBCvRLAL5sWs43Sx5S+2spOJjIzkhAkTNMk4EcpKIAjMkSOOA79RUflMS3MoGbm0t3zWpqKiQvEH7aqwPDf058+fTwAcOHCgolJ46qmnCIBPPvmk13taFpDTp0+zTZs2NJlMAV16Bw8eZGpqKuvWrcsTJ04EnJsTJ04wPT2dDRo0CHiomHQPFDAYDIpuTyWCXTBl16we+WBKgcjynjcKWuV15dWr5GIrO/L8d12+rmY3olBWAoF/Tp8m27QhTaZ8Wizud/Ymk4n5+fksLy/nqFGjfCoqpUCAFStW0GQysUuXLiwpKfG6rlx4cOjQoYrBCmoXkLKyMvbu3ZsGg4FLlizx69I7d+4c27dvz4iICL/plGTsdjsHDx5Mk8nEH3/8MWD7i1WVl3SU1PCUVXvts2fP0maz6SoFQgZXSkSmV69ezs+rVT6YGlZk1bgRgyq8SAplJRD4o7ycvP56R0BFUpLyDzYzM5ODBw8mAPbv399rMQa8S2OsW7eOERERbNq0qdvBUldFIkkSc3JyfB7qVVN23m63O5OHqgkll8+JLVq0SNX8yNGH06ZNU9U+mEUvPT1dt+yBAwdotVrZrl27gHtvSsyZM4cA+OWXX6pq74lcDmTBggW65EnH+ahu3brpls/LywtK2QWjbKrEjSiUlUCgjN1Ojh/v+Aa/8or/kHMAfO6550g6fthyBgqDweC1kG/bto0JCQnMyclxK0SoZHVYrVbFBeGjjz6iJEkBy85PmzaNAPjAAw8E/Lxykt1A2Qk8FWqDBg1U7WuRwVlHbdq00W0Z5eXl0Ww2c+fOnarG6UpFRQVzc3PZtGlTzVkyZG699VZGRkaqcpMqsW/fPgL6Eu7KjBs3jlFRUT7P5wXiiSee0K3sgnYjityAAoE7+fmO34IkkbGxjm+vvB8cFxfnU1HJ2SlIcv/+/czJyWFMTIxX9N6BAweYlZXF5ORk/vnnn27vqb37/OSTT2g2m9mmTRvOmTPHp6Uwb948AuCwYcMCLlAbNmxgeHg4u3bt6jeEXItCVULe59N6h/3xxx8TAAcMGKDZMtq6dSuNRqOuUh4kuXz58qCsorNnzzImJkaxFpla3nzzTQLgli1bdPfRpk0bXhWEZSKn5vr11181ywZlWYms6wKBO0q/CaORnD/fzgcffJAAaDQavX5wrhFwBw8eZIMGDWiz2bhu3Tq3/gsLC9mkSRNGRUV5KTFS3d3nihUrGBYWxpYtWyrWtpJZuXIlTSYTu3btGrBOU0FBATMzM5mZmRkwC3gwi46scLQGGpw8eZK1a9dmkyZNNNecIsm+ffvSZrOxoKBAsyxJdunShbVr19ZVVZc8f5B25cqVuuRJcsCAAUxPT9dt2ZWWljI8PJwTJ07UPQY52EdPscj8/Hyvw+Wq3YiinpVA4I7yb+IcIyNvciql+fPnu+2duN6tHzlyhLm5uYyMjOS3335L0t1lFh4eToPBwM8//9zr2rt37w4YVr5q1SqGh4ezadOmfjNmb9q0iVFRUbzsssvcMrl74plMVyni0BO97pzdu3czLi6OzZs35zvvvKPJOrrjjjsoSZLfrPC+WLt2rerPpsSmTZsIgM8884wueZLs06cPU1NTVbtKPSkrK2NMTIz+80kkf/rpJwLq9yKVuPXWW5mcnByUvC43oqgULBC44/2bOEXgagKOw7p2u50HDx5ko0aNaLFYuHz5cqfs0aNH2aRJE1qtVn799dck1VfL/e2331i7dm1arVaf4clffvklLRYLL7vsMh47dsznZ9i9ezdTUlKYkZHB/fv3+2ynNyovOTlZs2VVWlrKtm3b0mazebk+A/Htt98SAO+++25NcqQjuKR9+/ZMSUnRvVc0fPhwRkZGqgrhV+Lo0aM0mUxBWTTyHHies9PC7NmzCcBvYuNAdOnShW3bttUt//zzzxOA9kz1wrISCM5z9qynC/AggWYEjExIeJukQxHUrVuXkZGRboXrjh8/zqZNm9JisfCLL75wvq7GZbZu3TrGx8czJSWFmzdvVgwr//rrrxkREcFLL73Uryvr+PHjvOSSSxgbGxtwb0OPO+/nn3/2W5XYF3JmC1/lTHxRUlLCSy65hFmVCX61IrsdZ86cqVnWNUjGZrPpSjrrOsdPPfWU5jHIPPzwwzQajX7dvoHIy8tjXFycbjciSdapU4c33nijbnm54KTmMYg9K4HAwaFDjnNUAGk2k8BWAlkEIhkevoL5+Y5CfRkZGYyNjXXWpCId6ZZatmzJsLAwrlixwq3fQC6zVatWMTIykjk5OT7veP/73/8yMjKSl1xyiWK+PU83o9FodFp2/vAVKOLLnbd//37Wrl2btWvX5owZM1S78ZYtW0YAvP322wOOyZNHHnmEALzmNRCu7k2TycT58+drlr/YSWflfmSF5y8ziRqaNWumP4EsHdax0Wjkww8/rLuPcePGMT4+Xp+wiAYU/K/z009kRobjRm3xYvKRR9bSYIgnkMyUlA3Mzyd//fVX1qpVi0lJSdy0aZObgggLC6PBYOAnn3zi1u/vv//udw/q/fffp9lsZpMmTXzm8vvuu+8YFRXFBg0aKLZR62b0RC5lotayKioqYtOmTRkVFaUp2/bevXuZkJDApk2b8uzZs6pkXOcWANu3b6/6erJ8sIoi2DNBVXGmqCoVnpy5Izo6WrfC27lzJwFw7ty5uuRJ8sYbb2TdunV1y4fEOSsAcwEUANji4/1OAE4C+Lny8UigPimUlSAAixc7lFR6ukNpLVmyhBaLhfXr13eex/nxxx8ZHx/PtLQ0/v7776ry8a1cuZIxMTG02WyKe1C33HILJUniFVdc4XMvZP369YyOjmbdunV97j3pWRTlvYtmzZqpWgzLysp47bXX0mg08tNPP1U9t6WlpWzfvj2joqJU14wKNiyerBpFcbGTzlbV56gqhUeSn3/+OQGostp90atXLwa1JoeIsuoIoHkAZbUsUD+eD6GsBErY7eSTTzq+mW3aONyAr732Gg0GA9u0aeMM3/7vf/9Lm83G7Oxsp/IKtIi8+uqrNBqNbNKkCXfv3u1mKWRmZnLQoEEEwJ49e7rVpHJtl5KSQqvVyjp16vitJqt1UXzrrbcIgL169WJJSUnATOp2u92Z0cL1HJk/PPdq7rjjDlVyZGgoGjK4HIKh9DmqJGtEJbNmzSKgv7oxSbZr1y6oDBwhoawcssgWykpwoTlzhhw61PGtHDaMPHPm/Bmq3r17OxXIqlWraLVa2bBhQ7fqtf6yWIwfP54AeN111/HUqVNu162oqOCECRMIgDfeeKPbmR2lO2BJkjh9+nSfn+Po0aOaiiLOmzePkiSxe/fuql1y06dPJwDVkWwXMyu6TEpKStAL9A033OAlr3XPSveZokpCReHJnyc6OpqAI7WYXldiULWsyBqlrI4D2AxgBYBL/fSTB2ADgA2ZmZlV8sEE/wwOHiRbt3Z8I596iiwpOcebbnKcocrLy+P8+fPd9ksyMjJ45MgRkg5lM3XqVJ+KSk4SOnHiRK/zNGVlZRw5cqRToXlmk9C6MP31119s0KABjUajqkzc+fn5lCSJXbt29ZlnUG4nf/6kpCQCjlyHatPzBLvABmvRlJeXs06dOkEpmsLCQsbExLB58+aazoJ50qhRIxqNRt3ywWZZJ0PPlZiSkqKpWKYXNURZRQOIqvy7F4A/1fQpLCuBzMaNZO3aZGQkuWQJeerUKV59teMM1ZNPPul3v+T48ePOjNdyEUTPO1Wj0ahY6uLMmTPs06cPAfCxxx4LKns66TikmpKSwri4OP73v/8N6MpbtGgRDQYDO3Xq5OZ29ETp8xsMBk0b6sHcydvtdrZr1y4oRfPKK68QAMeNG6db0cgRiJs2bVIt48n27dsJqE/u64uuXbs68y/qVXjBZjqvSleixWLhfffdp1nOSU1QVgptdwNIDNROKCsBSb7/Pmm1OqL+fv7ZkRKpWbNmNBqNzsXYV9HElJQUZmVlMSwsjK+//jrtdrvbvozBYPA6d+UZTg7AZ0XbsrIyp4sl0ILwxRdf0GazMSMjg7/99puKz/0+jUYjr7zyyoCHYoNdlM6cOeNlCWjpQ94TGThwoC5Fs3//ftpsNnbv3l33WaLjx4/TZrPxhhtu0CUvM3HiRJpMJrckxVqpqKhgWloa+/fvH/RY5BsGPQqvqlyJb7/9ttv3QZcrsSYoKwApAKTKv1sD2Cs/9/cQyup/G7udfPxxxzewXTvy8GFHUtOsrCxGRkY6o9vkO2Ffj8zMTK+y62+//TbNZjMbNGjgFu2mJZz86NGj7NatG4HA+fIWLlzoDHX3FR3o6caTJInt27f32j9TIphFqby8nP3793d+Vq138vJh4+7du+vOCH7DDTfQYrEElaFh8uTJlCRJV6JWmbNnzzI+Pj64vRmSP/zwAwFw3rx5QfXz0EMP0Wg06s7gUVWuxKBrWZGhoawAvAvgEIAyAPsBjAYwFsDYyvfHA/gNjj2rdQCuCNQnhbL6n+bMGXLwYMe3r337fGZkZDlLathsNv7444+02+2cNWsWIyIivEptyA+LxeKW3qiiooKTJk0iAHbt2tUr9Fztj3vjxo1Oi+2tt97y686T09RcddVVPrMY+HLjqa3Cm5aWpmtRco0YfOmllwK6JT05deoU69evz7S0NN2JZj/55JOg3W4FBQWMjIzk4MGDdfdBOv4fACjmf9SCrGT8pdZSQ5cuXdi8eXPd8sEWbSSr0JUYCsrqQj2Esvrf5MABsmVLR66/wYOV96Jee+019u7dmwDYrVs3zpgxw6ud2Wx2y35QVFTkrDY7duxYryzc/srau1oo8+bNo8ViYXp6upfF5tnfPffc43SP+YviC2ZB2Lx5s2LpDjWL0r///W8C6iMGXbHb7Rw6dCgNBgPXrFmjWZ4ki4uLmZmZyUaNGunKyC5z3333UZIk/v7777r7IMkOHTqwXr16ui1EmcaNG7NTp05B9VFeXs6oqCiOGzcuqH7Gjh0bEq5EoawE/yh+/JFMS3MEUnz8se8IM4PBwPDwcL700kvOhWX8+PHOH1ZycjJvv/12p5VQu3ZtZmRk0GAw8OWXX/baFzlw4AC7d+/uU1llZWXx3LlzTiukU6dOzkhDGc8zWW3btiXgyOweaPHTuyCsX7+ecXFxTE9P5/PPP6/JKpo/fz4BcMiQIboWZ3mfSk/ePM/zXFOmTNHch9yPnEVfb5SbZ9aNIUOG6BqLzI4dO5yWajBs3ryZAIJK00Q6gk4MBoPum4EqsaxEuiVBTca1UGJWlqOqr9VKZmaSmzeTn332mU/lAYC//PILSfLcuXP817/+RQC84ooruG/fPkW3GgDFaKbFixczPj6eVquVo0aNUgz1ffXVV9mhQwcC4IQJE7wKHPq63pAhQwIGDJw+fVpRNtCC8M033zAqKoo5OTn866+/NM39qlWraDKZ2LlzZ5aUlKiW81zYmzRpolnRVWUqomD7qYqsG5688MILBMBdu3bp7oMkZ86cSSC4TOskOXToUNapU0e3fNDnzkQiW0FNRun7C5D165Nbtx5znp/ylZ9PPoO3Z88eZ7n0e+65x+naU3M3eOrUKd5yyy0EwBYtWnDbtm2VY3Pft3n00UeZmppKq9XK//znP4qfR+/d5969e9m8eXPKbku1C8Jnn31Gq9XK3NxcHjhwQMV8n/9MqampDA8PD1gvS6mPqljYq2oPpCr6qcrQbldr0Ww2B20RjRw5kklJSUFlWifJVq1aBZUElyRHjBjhtPQ1uxJFiRBBTUb5+2tnYuJ7TE5Opslk4sMPP8y33nrL5yL+2WefMSEhgTabzatWUCC32nfffcecnBxKksTJkycrukjsdjtff/11ms1m5uTkcPPmzT4/jx433rfffstatWrRZrNx6dKlqoMbPvzwQ5rNZjZt2lRVUIOvDBu+wvF9UVULe1XtgVRFP1WZJaKqDt/KNGjQgH369NEtTzq+w7GxsZrSZinx6KOPEoC+ApSi+KKgJuP9/T1A4HqnlbN582bu3r2bV155pfOHD5wvSx8TE0PZDbV9+3Znv8XFxbz33nsVFyDZIpN9+FlZWV6BAa4KIzIykoAjD6C/4n2FhYWa3Xhz5syh2WxmvXr1Ap65ch1TQkICJUli27ZtVddHCjUlUxUplaqqn1Cy8mRc9+FiY2ODUnjHjh0jAL744ou6+yDJO++8kzExMfqEhWUlqKls3UpaLOetKWAOgRgCFsbGPsfS0lJnPjObzcZ58+Yp3rm6HgomyeXLlzsXjc6dO3udDbFYLKxbty4BcMSIEV4uMKVreEYUerJ69WpmZGRQkiRVbrzS0lJnDsLu3bsHrGDrK6T9zTffVD3fVaVk4uLigl6QT5065TxDFowVYrfbWb9+fa+x6NmzCjYtEhm6Ftr3339PAFy6dKkueZnhw4fr3/cSe1aCmkZRETlpkqNAotVKmkw7CHSp/FF2osXyJ2fNOsEhQ4YQcARLyJvUvjJUZGVl8dChQ85s6Lm5uU5ryXUPIT4+nuHh4YyNjeWiRYsUx+fvGp6UlJTw3nvvpSRJrF+/PtevXx/QjXfs2DF27tyZgHKQhhJVcceu9wyWK0uXLnXeIASzkI4aNYoGg4FTpkzRFLnoyXvvvUcAvOWWW4LqhySbNGlCg8EQVB+haKGR5IIFCwiAW7du1SUvc+211wZ13ktEAwpqBHY7uWiRI7cfQI4cWc7HHnueYWFWSlI0gdnMzKzg5MlfMSMjgyaTiVOnTnUu5mvWrFH8AcuPmJgYhoeH84knnvAqnZGens4WLVoQALt06eKWgd0VOeOAmrvjX3/9lZdddhkBx3ktf9kFXMdiNBppNBo1ZTUI9o79l19+UUwHpUXJ/Pjjj4yIiGCrVq04d+5c3crh/fffJwA+9NBDqmWUOHv2LLOzs9mkSRN9eygu/PbbbwQc+SWDoSoytZNVeKapEtnlrSXiU4l27dqxa9euQfUhzlkJQpotW8jOnR3fombNyAULfmGrVq0IOCLJ5DNJ1157rdNKkQ/a7tixw1nuwfOO3vXRuXNn576VrxDyoUOHKoZYHzt2jLfddpszO4a/u9qKigq++OKLDA8PZ3Jysld1YU+UxmKxWFQvYNu2bfNbrTgQ8hmstLQ0Pvvss7qUzF9//cVatWoxOzubhw8fViWjxL59+xgXF8dWrVp5HcbWinyQOdgsEyQ5ZswYWiwWZw20YGjatGlQmdrJqt/7kr9/escjc8kll3DgwIG65UkKZSUITU6eJCdMIE0mMi6OfPnlEj788CM0mUy02WyKtZw6d+7M4uJinjhxghMmTKDZbGZkZCSffPJJzp07V1EJ5eXluYX2qv2xV1RU8M0332RCQgKNRiPvvvtuzpkzR/EaCQkJfOWVV9i1a1cCYJ8+fbwOBCshb5LrWXg++OAD2mw2RkVF6dpTWb16tfMMltbzPq7WoMlkotVq1ZUZwrUfi8VCs9nsFgyjhyNHjtBms/G6664Lqh/SkaIpPDw8uLIXlRQWFjIsLIz33HNPUP1URXokuZ+q3PtKTk5mXl6eLlknQlkJQgm7nVywgExJcUT8jRlDfvrpd8zNzSUADh8+3OcinpmZyVdeeYXx8fGUJImjR4/mwYMHnX0/8MADTksjMjKSb7zxhtu1T506pcqVt3HjRmd2iQ4dOriFpOfn5zMhIUGxj7CwMM6ZM0fVuZfFixerdiu6UlZW5oxmbN26Nffu3asqpN0zCa7JZGKjRo1UncHy7MdzkQsPD6+SxdJXQmC1/bneiDz33HO6+nHliSeeIABVGfADMW/ePALg999/H3RfQ4cOdX5PQsFCs9vtNJvNfOCBBzTLuiGUlSBU2LyZvPJKxzemVSty9eoi3nXXXZQkiRkZGfz000955MgRn4u4/OjatSufeuopt32n9u3bEwDr16/PL7/80u26Z86c4QsvvMDExESffWZlZfHEiRMcN24cDQYDk5OTOW/ePEXF4+uHnpaWFnAODh486Mxg7hkdGGjBOHz4MDt16kQAvP3221XvM/g6R+WpzNUQioECVW0l5OfnO4NptLhl/XHdddcxIyMj6AO8JNm3b1/WrVs3qD6qcu+rqKiIAPjMM88ENSahrAQXncJC8s47SUnKp8GQRUBicnKyU3mMGzeOO3fu5H333efzPBLgyFaxbNkyn/tOffv2dUsGW1paypkzZ7J27doEHAltH3vsMS8lYTabmZeXx6SkJBoMBo4fP97vGSU9P3S73c4333yTsbGxDA8P59NPP8158+b5XWRdraFatWoxNjaWVqvVb6i8ElWpGELpwK5MKCs+kvz777+rxAVIOr5HiYmJvPnmm4Pqp6rmLD8/3/n7io+PD06xC2UluFhUVJDvvEMmJ5NAPk0m77v7CRMmcNKkSc4yHsOHD+dzzz3n5Zc3m8185513SAYOIS8vL+f8+fOZk5NDwBHivnr1apLKUVnywtm2bVv+9NNPPj/PuXPnOGPGjICBFp7s2LGDXbo4QvA7duzoti/jy4XnyxrSkxQ2FBVDKCrQqh6XjJwQ+LvvvtPdh8zWrVsJQNM5OiWqIjqxyhW7UFaCi8FPP5FXXOH4drRpQyYnK+9DyWW9b7zxRm7dupXFxcV87LHH3IIGMjIymJ+fz7Nnz3LOnDk+LS8AfP/99537X02bNuXy5ctVBVgkJCT4TLhaUVHB/Px81qlThwDYsGFDn0ENnpnVhw4dSqvVyujoaM6cOVN1UteqXDRD0fKoyoUuVBWf6z6a0WjkggULNPfhifz9DzYQhST79Onj/Gx69r6qXLELZSWoTk6cIO+4gzQYyKQkcurU3zl69K1+FYy8sOfl5TkPqA4aNMgZpVZQUMDHHnuMSUlJTitLqR/5TvGSSy7he++9p6gYtCxGdrudy5Ytc56Zatq0KVesWEG73a5oEflyTzZv3txn9V9fVPWiWdV7OnrPUl2ofkJN8V0IdyJZdclrSUf15YYNG+qWr+ozX0JZCS4ormU84uPJqChSkuzs2/crXn11LwKOTWo5j16gR05ODteuXUuS/P333zlmzBinFXPttddy8uTJPqPxkpKSOG/ePK+DoBUVFVy+fLnfelQJCQluC+cjjzziLPlRt25dvvvuuwGtIl8LnZwBXgtVfddaVYohVAk1xXch3IkkmZOTw379+gXVh0yTJk3Yu3dv3fLCshLKqsbgndKrlJK0kKmpzZzK4/777+eECRO89qB8PTIyMvjll1+yV6/zii4vL49bt271ablIksRRo0Z5ZUYvKiria6+9xgYNGhAAU1NTOXDgQK+cgGazWfFcV3R0NN944w3Vh1RD2RoSqKcqFF9VWx2ugQxxcXFBfw8qKiposVh0VYB2HVOVfUdFuiXBheLcOTIxUVZSfxN4joBjX8pkuoTTp0/ngw8+6EzlM3DgQD711FOsVauWKqWVnJzMxx9/3K3Eha/zVxkZGW5j27NnD++77z7GxsYSAFu2bMmFCxc6lZnnYuTLUvPsNxDCGhLIhOI+oSt79uwhAM6aNUt3H/LY5N94ZmamfkUlEtkKqppdu8gHH5Qj/PYQmEDANdggkUBf5xd4wIAB/Oqrr/jMM8+wYcOGzrtLX0rKbDbzrbfecoagnzp1ivPmzfPrwpN/KI888ggHDBjgzLE3cOBArl27NqB/P1QzYgtqLqG4j+bKqlWrCIBff/217j5kxowZw5SUFP0diBIhgqqirIxcsoTs0cOxNyVJPzItbQgBIwGp8l/3H1KLFi04ffp09unTx5m3r0GDBoruNvkRHh7OBQsW8Ny5c1y6dCkHDx7sdNllZ2crJlz1fFitVk6aNIl79uxR/fmq+i5YWEMCsuq+C1UeyEDy1VdfJQC3DDB66d+/Py+99FL9HYjii4Jg2bOHnDKFTEsjgQrGxy9lVtZVBECbzcZu3W4nEKv4Q5LPIqWkpPD+++/ntm3bnD53X5bRlClTOHbsWMbHxxNwBD3ccccd/Pbbb50ReP4ODetx3ZHCIhKENhfCsrrzzjsZFRVVJVGFnTp14pVXXqm/A2FZCbTiSDPjuBO0WrMI5BM4w0svncXatR0uPNlKCg8P9+vOA8AlS5bwiy++4P333+8M//b1kH+QVquVQ4cO5bJlyxQDGzxzwFXV3aawiAShyoU4eiAHPFXFd/2yyy7j9ddfr78DsWcl0MKMGfk0mz0rzpoZGWkjAGfyWNf3jUajzzNPVquVNptD1mw2s3Pnzn6V2zXXXMMFCxawqKhI1XgvVGiwQBCKhFpovivp6ekcNWqUbvnKgYloQIFvKirIzz4j+/UjAeXFX66Q6s8qUko/lJCQwLy8PC5ZsoSnTp0iSb99aEW47gQC7VyIm7yIiIigQuCdVMM5KxMENYojR4C5c4E5c4C//tqDqKiVAPYotrXb7WjUqBF+//13n/3Z7Xbn37GxsXjggQcwadIkSJLk1i4rKwt79nhfJysrS/NnGDZsGADgoYcewt69e5GZmYlp06Y5XxcIBN7s3btX0+uBKCkpwZkzZxAfHx/MsKoNw8UegMCbhQuB7GzAYHD8m58PTJ68EBERmUhJMWDy5Gjs358KIBvFxbf57cufooqKisLHH3+MoqIikERhYSHuv/9+L0UFANOmTUNERITbaxEREZg2bZqOT+hQWLt374bdbsfu3buFohIIApCZmanp9UAUFhYCgFBWAn0sXAjk5QF79iwEmYU9ewwYMSISTz89HGfP7oPD8i9CWdlhp4zB4P3faDabfSoemZkzZ6JPnz6IiooKOK5hw4Zh9uzZyMrKgiRJyMrKwuzZs4WSEQiqiaq+YTx+/DgAICEhIeixVQtKvsHqeIg9K2/KyshatY4RGE+l809Kj/r163P06NG89dZbmZqa6hUl5MvPnZCQcJE/rUAg0EpVBmvIGWmSk5OD3y8WuQH/OSh9yYqLyeXLT7NfvwVMTr6BgO+zTL4eaq4rghkEAoHMBVkThLKqWfgrxueZgBUwEPB8DZQk5Vx3Sg+1UUDiHJJAIJC5IEdHqkFZSY73qp+WLVtyw4YNF+XaF4KFCxciLy8PZ86ccb5mMpmQnHwJDh3aCrJCUa5OncvQrVtHDB8+EK1bt8bixRaMGJENUjnCTyYiIkLsGQkEAs0YDAYorfuSJLlFB2uiUyfHv19/rXtcLuPYSLKl5+siwAIORZOdnQ2DwYDs7GwsXLhQoY17hN78+eXYs2cP1qxZgwULFmDcuHFuigoAysvLcfDgFp+KSpIk7Nq1GbNnz0DHjh1hsVgwbBgwduw0SJL7RmpYWBgSEhJEcINAIAiKqo4qrC7+589ZeVpEe/bsQV5eHs6dO4e2bdti7969eO+9PViwYA/Ky/cC2IM9e/Zg5MgDANTchUhISUnB4cOHvN7x9eV4/fVhaN9enEMSCARVz7Rp07y8QMFEFVYbSr5B1weAuQAKAGzx8b4E4BUAOwD8AqB5oD4ZQntW/nLVuT9MBLIJXEXgJgJTCMyhwbCKjRtvp82W4dMPLIIcBAJBKFHl+9ihEGABoCOA5n6UVS8AKyqVVlsA6wP1ySpQVq4l2QOlo7LbycJCcscOct06ctkyct488oUXSEeZDF8KaiGBbwnsI1BOgG4PSSLldHiBFJIIchAIBP9IQik3IIBsP8pqFoChLs+3A0gN1Gcwykop0a/ZTPbpQ44ZQ/bvT3bsSDZqRNaqRZpM9FI05x/KllV0dBaff5585x0yKUlZ1jN4RigkgUDwP0U1Zl1XFQ0oSVI2gGUkGyu8twzAv0l+W/n8SwD3k/Qb6hdMNGB2NqCQpg4AUKsWkJgIJCQ4/g309/Ll3lF8npF2clYJ1/iJiAhg9mxAbCMJBIL/WXwtxllZwO7durr0FQ1YFQEWSvl8FDWgJEl5APKA4CJPfOVtlCTg8GHl93yhJqmq/OdDDzmunZkJTJsmFJVAIPgfx9dirDO5rj+qwrKaBeBrku9WPt8OoBNJ7/A3Fy6EZRWEMhcIBAKBVqrRsqqKc1ZLAdwkOWgL4GQgRRUs06Y53HCuREQ4XhcIBAJBNVGNi3FAZSVJ0rsAvgfQUJKk/ZIkjZYkaawkSWMrm3wKYBccoetzANxR5aP0YNgwx35RVpbD9ZeVJfaPBAKBoNqpxsVYpFsSCAQCQcgg0i0JBAKBoMYilJVAIBAIQh6hrAQCgUAQ8ghlJRAIBIKQRygrgUAgEIQ8QlkJBAKBIOQRykogEAgEIY9QVgKBQCAIeYSyEggEAkHII5SVQCAQCEIeoawEAoFAEPIIZSUQCASCkOeiJbKVJOkoAB/1fjWRCOBYFfRTXdS08QI1b8w1bbxAzRuzGO+Fp6aNuarGm0UyyfPFi6asqgpJkjYoZegNVWraeIGaN+aaNl6g5o1ZjPfCU9PGfKHHK9yAAoFAIAh5hLISCAQCQcjzT1BWsy/2ADRS08YL1Lwx17TxAjVvzGK8F56aNuYLOt4av2clEAgEgn8+/wTLSiAQCAT/cISyEggEAkHIUyOUlSRJcyVJKpAkaYuP9yVJkl6RJGmHJEm/SJLUvLrH6DGeQOPtJEnSSUmSfq58PFLdY/QYT4YkSaslSdoqSdJvkiTdpdAm1OZYzZhDZp4lSbJIkvSDJEmbK8f7uEKbUJtjNWMOmTl2GZNRkqRNkiQtU3gvpOa4ckz+xhuK87tbkqRfK8ezQeH9CzPHJEP+AaAjgOYAtvh4vxeAFQAkAG0BrA/x8XYCsOxiz6vLeFIBNK/82wbgDwCNQnyO1Yw5ZOa5ct6iKv82A1gPoG2Iz7GaMYfMHLuMaQKA/yiNK9TmWMV4Q3F+dwNI9PP+BZnjGmFZkVwD4ISfJtcDmE8H6wDESpKUWj2j80bFeEMKkodI/lT5dxGArQBqezQLtTlWM+aQoXLeiiufmisfntFNoTbHasYcUkiSlA7gWgBv+mgSUnOsYrw1kQsyxzVCWamgNoB9Ls/3I4QXrkraVbpXVkiSdOnFHoyMJEnZAJrBcRftSsjOsZ8xAyE0z5Xunp8BFAD4nGTIz7GKMQMhNMcApgOYBMDu4/1Qm+Pp8D9eILTmF3DcsKySJGmjJEl5Cu9fkDn+pygrSeG1UL4D/AmO/FeXA5gB4KOLOxwHkiRFAVgM4G6SpzzfVhC56HMcYMwhNc8kK0g2BZAOoLUkSY09moTcHKsYc8jMsSRJ1wEoILnRXzOF1y7KHKscb8jMrwvtSTYH0BPAOEmSOnq8f0Hm+J+irPYDyHB5ng7g4EUaS0BInpLdKyQ/BWCWJCnxYo5JkiQzHIv+QpIfKjQJuTkONOZQnOfKsfwN4GsA13i8FXJzLONrzCE2x+0B9JEkaTeARQC6SJKU79EmlOY44HhDbH7lMR2s/LcAwBIArT2aXJA5/qcoq6UAbqqMQmkL4CTJQxd7UL6QJClFkiSp8u/WcPw/HL+I45EAvAVgK8kXfTQLqTlWM+ZQmmdJkpIkSYqt/NsKoBuAbR7NQm2OA445lOaY5IMk00lmAxgC4CuSwz2ahcwcqxlvKM1v5RgiJUmyyX8D6A7AM+r5gsyxKdgOqgNJkt6FIyomUZKk/QAehWOzFyRnAvgUjgiUHQDOABh1cUbqQMV4BwC4XZKkcgBnAQxhZRjNRaI9gBEAfq3cnwCAyQAygdCcY6gbcyjNcyqAeZIkGeFYcN4juUySpLEu4w21OVYz5lCaY0VCfI69CPH5rQVgSaX+NAH4D8nPqmOORbolgUAgEIQ8/xQ3oEAgEAj+wQhlJRAIBIKQRygrgUAgEIQ8QlkJBAKBIOQRykogEAgEIY9QVgKBQCAIeYSyEggEAkHI8//wse6n+ff/FQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun = curves_r2.square_root_velocity_metric.geodesic(\n", " initial_curve=curve_a, end_curve=curve_b\n", ")\n", "\n", "n_times = 20\n", "times = gs.linspace(0.0, 1.0, n_times)\n", "geod = geod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod[0, :, 0], geod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod[i, :, 0], geod[i, :, 1], \"o-k\")\n", "plt.plot(geod[-1, :, 0], geod[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic for the Square Root Velocity metric\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Square Root Velocity metric is reparametrization invariant in the sense that, if the two curves are reparametrized *in the same way*, the distance does not change." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.9224597300658097" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curve_a_resampled = parametrized_curve_a(sampling_points**2)\n", "curve_b_resampled = parametrized_curve_b(sampling_points**2)\n", "\n", "curves_r2.square_root_velocity_metric.dist(curve_a_resampled, curve_b_resampled)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The geodesic keeps the same shape." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun_1 = curves_r2.square_root_velocity_metric.geodesic(\n", " curve_a_resampled, curve_b_resampled\n", ")\n", "geod_1 = geod_fun_1(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod_1[0, :, 0], geod_1[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod_1[i, :, 0], geod_1[i, :, 1], \"o-k\")\n", "plt.plot(geod_1[-1, :, 0], geod_1[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic when both curves are reparametrized in the same way\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, if the curves are reparametrized in *different* ways, the distance changes, and so does the shape of the geodesic." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.9696189997648135" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curves_r2.square_root_velocity_metric.dist(curve_a, curve_b_resampled)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun_2 = curves_r2.square_root_velocity_metric.geodesic(curve_a, curve_b_resampled)\n", "geod_2 = geod_fun_2(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod_2[0, :, 0], geod_2[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod_2[i, :, 0], geod_2[i, :, 1], \"o-k\")\n", "plt.plot(geod_2[-1, :, 0], geod_2[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic when only the red curve is reparametrized\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distance between unparametrized curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to completely quotient out parametrization, distances are computed in the base space of a fiber bundle where the fibers represent equivalent classes of curves with the same shape (i.e. equal modulo reparametrization). Any infinitesimal deformation of a curve can be split into the sum of vertical deformation (tangent to the fiber) that simply reparametrizes the curve without changing its shape, and a horizontal deformation (orthogonal to the fiber) that changes the shape. The distance between two unparametrized curves is then computed as the length of a horizontal geodesic linking their two fibers. \n", "\n", "In practice, to compute the horizontal geodesic linking the fibers of two discrete parametrized curves `curve_a` and `curve_b`, we can fix the parametrization of `curve_a`, and search for a reparametrization of `curve_b` (i.e. another discrete curve with same shape as `curve_b`) that best \"matches\" `curve_a`. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since geodesics that start with a horizontal velocity stay horizontal, a first idea would be the following: \n", "\n", "- compute the geodesic between `curve_a` and `curve_b`\n", "- compute the horizontal part of its initial velocity vector\n", "- shoot from `curve_a` using this horizontal vector." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "geod_velocity = n_times * (geod[1:] - geod[:-1])\n", "(\n", " geod_velocity_hor,\n", " geod_velocity_ver,\n", " _,\n", ") = curves_r2.quotient_square_root_velocity_metric.split_horizontal_vertical(\n", " geod_velocity, geod[:-1]\n", ")\n", "\n", "shooted_geod_fun = curves_r2.square_root_velocity_metric.geodesic(\n", " initial_tangent_vec=geod_velocity_hor[0], initial_curve=curve_a\n", ")\n", "shooted_geod = shooted_geod_fun(times)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The problem with this idea is that, while it yields a horizontal geodesic starting at `curve_a`, its end point does not belong to the fiber of `curve_b`: as we cas see below, the end curve of the horizontal geodesic is not a reparametrization of the initial red curve, it does not have the same shape." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 7))\n", "plt.plot(shooted_geod[0, :, 0], shooted_geod[0, :, 1], \"o-b\")\n", "plt.plot(shooted_geod[-1, :, 0], shooted_geod[-1, :, 1], \"o-r\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(shooted_geod[i, :, 0], shooted_geod[i, :, 1], \"o-\", c=\"k\")\n", "plt.title(\"Shooting with horizontal part of initial geodesic velocity vector\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To obtain a horizontal geodesic starting at `curve_a` and ending at a curve with same shape as `curve_b`, we use an iterative optimal matching algorithm [LAB2017](#References). This algorithm moves along the fiber of `curve_b` to find the best representative with respect to `curve_a` by iterating the following steps:\n", "\n", "- step 1: compute the geodesic between `curve_a` and the current representative of `curve_b` (initially, `curve_b`)\n", "- step 2: compute the path whose velocity is a reparametrization of the horizontal part of the geodesic velocity at all time, and set the new representative of `curve_b` to be the end point of this path.\n", "\n", "Note that the first step yields a geodesic that is not horizontal, while the second step yields a horizontal path that is not geodesic. By iterating these two steps, the algorithm converges to a horizontal geodesic." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hgeod_fun = curves_r2.quotient_square_root_velocity_metric.horizontal_geodesic(\n", " curve_a, curve_b\n", ")\n", "hgeod = hgeod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(hgeod[0, :, 0], hgeod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(hgeod[i, :, 0], hgeod[i, :, 1], \"o-k\")\n", "plt.plot(hgeod[-1, :, 0], hgeod[-1, :, 1], \"o-r\")\n", "plt.title(\"Horizontal geodesic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check the horizontality of this geodesic by computing the norm of the vertical part of its velocity for all times." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_vertical_norm = curves_r2.square_root_velocity_metric.norm(\n", " geod_velocity_ver, geod[:-1]\n", ")\n", "\n", "hgeod_velocity = n_times * (hgeod[1:] - hgeod[:-1])\n", "(\n", " hgeod_velocity_hor,\n", " hgeod_velocity_ver,\n", " _,\n", ") = curves_r2.quotient_square_root_velocity_metric.split_horizontal_vertical(\n", " hgeod_velocity, hgeod[:-1]\n", ")\n", "hgeod_vertical_norm = curves_r2.square_root_velocity_metric.norm(\n", " hgeod_velocity_ver, hgeod[:-1]\n", ")\n", "\n", "plt.figure()\n", "plt.plot(times[:-1], geod_vertical_norm, \"o\", label=\"initial geodesic\")\n", "plt.plot(times[:-1], hgeod_vertical_norm, \"o\", label=\"horizontal geodesic\")\n", "plt.legend()\n", "plt.title(\"Norm of the vertical part of the geodesic velocity\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also check that this horizontal geodesic does not change if we resample the end curve." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hgeod_fun = curves_r2.quotient_square_root_velocity_metric.horizontal_geodesic(\n", " curve_a, curve_b_resampled\n", ")\n", "hgeod = hgeod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(hgeod[0, :, 0], hgeod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(hgeod[i, :, 0], hgeod[i, :, 1], \"o-k\")\n", "plt.plot(hgeod[-1, :, 0], hgeod[-1, :, 1], \"o-r\")\n", "plt.title(\"Horizontal geodesic when the red curve is reparametrized\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can check that the quotient distance remains approximately constant for any parametrizations of the curves." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.677393759010642\n", "1.678054913356192\n", "1.6774170579519256\n", "1.6765232522160183\n" ] } ], "source": [ "print(curves_r2.quotient_square_root_velocity_metric.dist(curve_a, curve_b))\n", "print(curves_r2.quotient_square_root_velocity_metric.dist(curve_a_resampled, curve_b))\n", "print(\n", " curves_r2.quotient_square_root_velocity_metric.dist(\n", " curve_a_resampled, curve_b_resampled\n", " )\n", ")\n", "print(curves_r2.quotient_square_root_velocity_metric.dist(curve_a, curve_b_resampled))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: 3D curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we follow similar steps for curves in $\\mathbb R^3$. In this example, we can see that the horizontal geodesic \"straightens out\" the original geodesic." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r3 = Euclidean(dim=3)\n", "curves_r3 = DiscreteCurves(ambient_manifold=r3)\n", "\n", "parametrized_curve_a = lambda x: gs.transpose(\n", " gs.stack((gs.cos(2 + 8 * x), gs.sin(2 + 8 * x), 2 + 10 * x))\n", ")\n", "parametrized_curve_b = lambda x: gs.transpose(\n", " gs.stack((gs.cos(4 + 8 * x), gs.sin(4 + 8 * x), 2 + 10 * x))\n", ")\n", "\n", "n_sampling_points = 100\n", "sampling_points = gs.linspace(0.0, 1.0, n_sampling_points)\n", "curve_a = parametrized_curve_a(sampling_points)\n", "curve_b = parametrized_curve_b(sampling_points)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"b\")\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"r\")\n", "ax.scatter(curve_a[0, 0], curve_a[0, 1], curve_a[0, 2], \"b\")\n", "ax.scatter(curve_b[0, 0], curve_b[0, 1], curve_b[0, 2], \"r\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun = curves_r3.square_root_velocity_metric.geodesic(\n", " initial_curve=curve_a, end_curve=curve_b\n", ")\n", "\n", "n_times = 20\n", "t = gs.linspace(0.0, 1.0, n_times)\n", "geod = geod_fun(t)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"-\", c=\"b\", linewidth=2)\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"-\", c=\"r\", linewidth=2)\n", "for i in range(1, n_times - 1):\n", " ax.plot(geod[i, :, 0], geod[i, :, 1], geod[i, :, 2], \"-\", c=\"k\")\n", "for j in range(n_sampling_points):\n", " ax.plot(geod[:, j, 0], geod[:, j, 1], geod[:, j, 2], \"--\", c=\"k\")\n", "plt.title(\"SRV geodesic\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hgeod_fun = curves_r3.quotient_square_root_velocity_metric.horizontal_geodesic(\n", " curve_a, curve_b\n", ")\n", "hgeod = hgeod_fun(t)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"-\", c=\"b\", linewidth=2)\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"-\", c=\"r\", linewidth=2)\n", "for i in range(1, n_times - 1):\n", " ax.plot(hgeod[i, :, 0], hgeod[i, :, 1], hgeod[i, :, 2], \"-\", c=\"k\")\n", "for j in range(n_sampling_points):\n", " ax.plot(hgeod[:, j, 0], hgeod[:, j, 1], hgeod[:, j, 2], \"--\", c=\"k\")\n", "plt.title(\"Horizontal SRV geodesic\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_velocity = n_times * (geod[1:] - geod[:-1])\n", "(\n", " geod_velocity_hor,\n", " geod_velocity_ver,\n", " _,\n", ") = curves_r2.quotient_square_root_velocity_metric.split_horizontal_vertical(\n", " geod_velocity, geod[:-1]\n", ")\n", "geod_vertical_norm = curves_r2.square_root_velocity_metric.norm(\n", " geod_velocity_ver, geod[:-1]\n", ")\n", "\n", "hgeod_velocity = n_times * (hgeod[1:] - hgeod[:-1])\n", "(\n", " hgeod_velocity_hor,\n", " hgeod_velocity_ver,\n", " _,\n", ") = curves_r2.quotient_square_root_velocity_metric.split_horizontal_vertical(\n", " hgeod_velocity, hgeod[:-1]\n", ")\n", "hgeod_vertical_norm = curves_r2.square_root_velocity_metric.norm(\n", " hgeod_velocity_ver, hgeod[:-1]\n", ")\n", "\n", "plt.figure()\n", "plt.plot(times[:-1], geod_vertical_norm, \"o\", label=\"initial geodesic\")\n", "plt.plot(times[:-1], hgeod_vertical_norm, \"o\", label=\"horizontal geodesic\")\n", "plt.legend()\n", "plt.title(\"Norm of the vertical part of the geodesic velocity\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", ".. [SKJJ2011] A. Srivastava, E. Klassen, S. H. Joshi and I. H. Jermyn,\n", " \"Shape Analysis of Elastic Curves in Euclidean Spaces,\"\n", " in IEEE Transactions on Pattern Analysis and Machine Intelligence,\n", " vol. 33, no. 7, pp. 1415-1428, July 2011.\n", "\n", ".. [LAB2017] A. Le Brigant, M. Arnaudon and F. Barbaresco,\n", " \"Optimal matching between curves in a manifold,\"\n", " in International Conference on Geometric Science of Information,\n", " pp. 57-65, Springer, Cham, 2017." ] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 2 }