From 21008d4336d129c29c36c3ddff42f3e67f59b97c Mon Sep 17 00:00:00 2001 From: Scott Hendrickson Date: Fri, 13 Feb 2015 16:15:52 -0700 Subject: [PATCH] Removed cell output --- ml-basis-expansion-101/Basis Expansion.ipynb | 279 ++----------------- 1 file changed, 22 insertions(+), 257 deletions(-) diff --git a/ml-basis-expansion-101/Basis Expansion.ipynb b/ml-basis-expansion-101/Basis Expansion.ipynb index c9aad72..b511918 100644 --- a/ml-basis-expansion-101/Basis Expansion.ipynb +++ b/ml-basis-expansion-101/Basis Expansion.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:7ccdb1852e3aff8e6d1987434cc166bf462d868fc7e4254b5b8bf281c425c406" + "signature": "sha256:3549a4752602045c42ea70e7f5579fd904ef56de95d9ab983974fef1b10ea8f9" }, "nbformat": 3, "nbformat_minor": 0, @@ -16,16 +16,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 1 + "outputs": [] }, { "cell_type": "markdown", @@ -73,17 +64,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", - "text": [ - "" - ] - } - ], - "prompt_number": 2 + "outputs": [] }, { "cell_type": "markdown", @@ -95,7 +76,7 @@ "\n", "Five points to notice about the above forumlation:\n", "\n", - "0. Optimizating $ C $ determines our model parameters $ \\theta $ from features $ x $.\n", + "0. Optimizating $ C $ determines our model parameters $ \\theta $ from features $ x $ and targets $ y $.\n", "\n", "1. z is a scalar $ \\theta^T x = z $\n", "\n", @@ -121,17 +102,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEACAYAAACqOy3+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text": [ - "" - ] - } - ], - "prompt_number": 3 + "outputs": [] }, { "cell_type": "markdown", @@ -176,24 +147,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The hyperplane predicts 94.50% of the training data.\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD7CAYAAABKfn7LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBQOmLYInAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 4 + "outputs": [] }, { "cell_type": "markdown", @@ -234,24 +188,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The hyperplane predicts 59.50% of the training data.\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD7CAYAAAB68m/qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMkR1WQAAAABJRU5ErkJggg==\n", - "text": [ - "" - ] - } - ], - "prompt_number": 5 + "outputs": [] }, { "cell_type": "markdown", @@ -303,17 +240,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSinl5zSRK6WUn/t/ATx1+2iwuywAAAAASUVORK5CYII=\n", - "text": [ - "" - ] - } - ], - "prompt_number": 6 + "outputs": [] }, { "cell_type": "markdown", @@ -360,7 +287,7 @@ "\n", "From ESL,\n", "\n", - " The core idea of [basis expansion] is to augment/replace the vectors of inputs X with additional variables, which are transformations of X, and then use linear models in the new psace of derived input features. - ESL pg 139\n", + " The core idea of [basis expansion] is to augment/replace the vectors of inputs X with additional variables, which are transformations of X, and then use linear models in the new space of derived input features. - ESL pg 139\n", "\n", "This functional approach changes our strategy toward finding $z$ as a functional expansion in $x$." ] @@ -419,24 +346,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "0.945\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD7CAYAAAB68m/qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 7 + "outputs": [] }, { "cell_type": "markdown", @@ -469,17 +379,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nD2GpExF5yP8Dv0KSq5a92PEAAAAASUVORK5CYII=\n", - "text": [ - "" - ] - } - ], - "prompt_number": 8 + "outputs": [] }, { "cell_type": "code", @@ -503,17 +403,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 9 + "outputs": [] }, { "cell_type": "markdown", @@ -535,24 +425,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "[ 79.16394106 25.43276952 21085.92154455]\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSAhTyIuIhDCFvIhICPv/atdPxgAFcjQAAAAASUVORK5CYII=\n", - "text": [ - "" - ] - } - ], - "prompt_number": 10 + "outputs": [] }, { "cell_type": "markdown", @@ -573,17 +446,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 11, - "text": [ - "18" - ] - } - ], - "prompt_number": 11 + "outputs": [] }, { "cell_type": "markdown", @@ -605,7 +468,7 @@ "from functools import partial\n", "plt.plot(x, target(x), color=\"red\")\n", "\n", - "gx = partial(g, n=2)\n", + "gx = partial(g, n=4)\n", "\n", "def c(x, pars):\n", " return np.power(target(x) - gx(x, pars), 2)\n", @@ -622,26 +485,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "[ 3.32309319e+01 9.41928377e+00 1.09180654e+04 1.64191730e+00\n", - " 2.11339943e+00 6.60893745e+00 -1.00000000e+00 2.00000000e+00\n", - " 1.00000000e+00 1.00000000e+00 2.00000000e+00 1.00000000e+00]\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text": [ - "" - ] - } - ], - "prompt_number": 12 + "outputs": [] }, { "cell_type": "markdown", @@ -662,8 +506,7 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 13 + "outputs": [] }, { "cell_type": "code", @@ -699,24 +542,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD7CAYAAABKfn7LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", - "text": [ - "" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The hyperplane predicts 67.67% of the training data.\n" - ] - } - ], - "prompt_number": 14 + "outputs": [] }, { "cell_type": "markdown", @@ -761,8 +587,7 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 15 + "outputs": [] }, { "cell_type": "code", @@ -801,24 +626,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The hyperplane predicts 99.00% of the training data.\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD7CAYAAABKfn7LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4U2X/xj/POUnapntSyip7L9m7ooIiKuDE9bp+bkXF\njQMX7vd1vm583QsVRYYM2QjK3ntToHSvNMkZvz9OkiZpuoAK1XNfV64mZ+ck55O79/M9zyN0XceU\nKVOmTNUfSaf6AEyZMmXKVO1kgtuUKVOm6plMcJsyZcpUPZMJblOmTJmqZzLBbcqUKVP1TCa4TZky\nZaqeyVLXOxBCmPWGpkyZMnUc0nVdhJr+lzhuXdeP6/Hkk08e97qn28N8L6fn4+/yXv4u78N8L+WP\nqmRGJaZMmTJVz2SC25QpU6bqmU5rcGdkZJzqQzhpMt/L6am/y3v5u7wPMN9LTSSqy1Kq3YAQccCH\nQEdAB27QdX2533z9RPdhypQpU/80CSHQK2mcPBlVJa8DM3Rdv0QIYQEiT8I2TZkyZcpUJTohxy2E\niAXW6LreooplTMdtypQpU7VUVY77RDPu5sAxIcTHQojVQogPhBD2E9ymKVOmTJmqQifquHsCvwP9\ndV3/UwjxGlCo6/oTfssct+NWCw+gKyXHfXymTJkydSolLJHIMU2Ob906zLgPAgd1Xf/T83oK8HDw\nQhMnTvQ9z8jIqHlLq+oCpewED9GUKVOmTpGEtcaLLliwgAULFtRssyehqmQRcJOu69uFEBOBCF3X\nH/Kbf/yOO28XurvohI7PlClTpk6VhDUaOb7l8a1bx1UldwFfCCFswC7g+pOwTVOmTJkyVYlOGNy6\nrq8Dep2EYzFlypQpUzXQaX3npClTpkyZqigT3KZMmTJVz2SC25QpU6bqmUxwmzJlylQ9kwluU6ZM\nmapnMsFtypQpU/VMJrhNmTJlqp7JBLcpU6ZM1TOZ4DZlypSpeiYT3KZMmTJVz2SC25QpU6bqmUxw\nmzJlylQ9kwluU6ZMmapnMsFtypQpU/VMJrhNmTJlqp7JBLcpU6ZM1TOZ4DZlypSpeiYT3KZMmTJV\nz2SC25QpU6bqmUxwmzJlylQ9kwluU6ZMmapnOuFR3k2ZMlV30pHrZLsCtU62a+qvkQluU6ZOoeoK\nzCeyXxPqp79McJsy9RfqVIG6Ngo+RhPkp59McJsyVceqD7CuSv7Hb0L89NBJaZwUQshCiDVCiGkn\nY3umTNVn6cgBj7+T/s7vrT7pZFWVjAM2A/pJ2p4pU/VO/0SY/RPf8+mgEwa3EKIxMAL4EBAnfESm\nTNUTme6zXOZ5+Gt1Mhz3f4AHAO0kbMuUqdNeJqCqlnl+6l4nBG4hxEggS9f1NZhu29TfXCaQaifz\nfNWdTrSqpD9woRBiBBAOxAghPtV1/Vr/hSZOnOh7npGRQUZGxgnu1pSpv04mfE5M3vNnVqRUrQUL\nFrBgwYIaLSt0/eS0JwohhgD367p+QdB0/Xj3oebtQncXnYzDM3Wi0qu56MTfD24msOtG/ySAC2s0\ncnzL41tXCHRdD5lknOw6brOqpL6qOjCfyPr1EOqnDbRFHXQnpJ/a5ijTgZ+4Thq4dV1fCCw8Wdsz\nVUc6UUCfzH2ehkA/JcCuCzgfz/7+YqCbAD9+mXdO/hN0KmBdEwUf12kI8jrTXw3rmsj/mP5CiOvI\nJrxrKRPcf2edcPxxHBfviQDJe7ynCOB17rZP5Nyc6Dmp7XfhFEHcVM1kgvvvptpeoCf7oqxuezWB\n1ylw4nUG7drAui7fZ1Xbrrbhue4hbsYmtZMJ7r+LagPsWl58ogbb1msKneB91wbkdQS2kw7tuoD1\niUYrVX3m/sdQU4jXIcBNeFcvE9z1WTWFdTUXWU3AXJ2OG+61Abn/Pk63PLwmYK3umGsB5+p+KCt8\nHjVtkKwpxOsQ4Kb7rl4muOuragLbKi6qakF7ohdkCFD477NS8Hj3Wx3ETnEe7tOJAruK9Wv8X0wt\n1q0S6McD8Tp24KZCywR3fdNxArdSUFd1wR2vExdyNf+aSyGPJwA2/uufbi68OlgfB6grhfRJrj4J\ndaOF77MI3lfAZ+A5vr8Q4GZsUrlMcNcnVQXS2gA71LIn6OADnVuIbdUAypU68tpAvJbwrnW+fbzQ\nDrFeBVhXte2TVVUSAs7+xxHwfQkF45oA3IR3ncsEd31QLV12jWAdvExtnXqF7RvLVRmB1ChWkCrs\nt1YQr4sI5XiAGrROyPMSvN2aLHO8qglQK4N4bQF+kt23Ce+KMsF9uquWLrsCaKsCdk3Wr2LZiiuH\njkDAA65Q0A0GbYiMW1T2o1BVHn4c7jukagvt6oBdFaxr4spPQAGdXvjOnR+Ag/Ju774DAB4qB/8L\nbvAy4R0oE9yns2oBbVEVkCuZVyvI10RV5M0i2HHrakUnXSUkpepdeIUYoGr3XWVMUtmx1CDe0CuD\ncRXrhgK8qmocOFDMrt2F7D9QQmZmCdnZDnLzyigudlNWpqJqGpIkCLPJREXZiI8LIyUlgsaNo2jZ\nIo52bWNITorw7EOqAOyQUPaHeDDAQzVmVua+TeddZzLBfbqqFs63UmjXBNiVLQ+IExkbQ9fQq+ru\n3Q/Eeii3XY0TD+nCK4N/bd13qG1U466rdNaVgNx/HZdbZ936bFauOsbqtdls3JTDlq25lJWdOKga\nptrp2aMB/fs1ZGhGGl06JyKECA1lXavowj3nXhdyxQw8OD6pLDox4X1SddK6da10B2a3rrVXDaFd\nG2CHXNZvmj+kdU0pX1Y7zotECnLcUrlHCAB6DaBWEwhWuU6odanEcVeXO9cE1tW9JyHhdKos/+MI\nCxYeZvHSTFauOhoS0qmpkbRsGUd6s1jS0qJISYkkIT6cqGgrEeFWZFmgaTpOl0phoYu8PAdHj5ay\nf38hO3flsW1bLkVFroBtpqVFctHIFoy9vA29eiYZEAfQtWq/J1V+n/xV00bx41B9Andddetqgvt0\nU11CuwpgVwrryo7Hf3mpkn/cgsHmB3MvyENC/AQAXht4VwB3DfPnKvcR9B78l925q5Bf5xxg9twD\nLFqSicOhBKzatk08vXqlcsYZDenSJZlOHZOJjYsIWEavwUBTwq/oT9N0du/K5Y8/DrNw0X7mzN3L\n4cMlvvkdOyRw2y1duHpsK8LDLZV/Z6D8u1ATeJ9IW0kNVF/gbYL7n6ATjUdCXGyVQbsCsL2w9t+u\nFgiWGmfe/mDzh3rA9CogHgKMJw3glYH7RKBdyfEqisayFVlMn7GX6TP3sXNXQcAuOnVMIiOjCYMH\nN6V/v0YkJkX6HVv59Xq8l6jwu+S9MNc1lVWrj/Ldd1v4+uutZB0rBYw45eEHenLDdW2xWuVA930y\n4W2Cu+brmuCuJ6rBF71ap12NyxZolcPaO933ugbOuzJV5ra900MB3bNMpSCvJHaosL+qYF8TcNdm\nf0H7cjpVfluQyY8/72b6jH3k5Jb5thEfH8bZZ6UzfFhzzjorndSG0T5A+18imt8L/+m6Vv11JKTA\n69wLb8nzxPtaoONyqfzww1Zee+1P1q0/BkD7dvG8+VoGA/s3qP4/NhPe1coE999dNfyC18oF+V1o\nAQ7bH9g1gXWw864q95aCgV05oH3TvMuEcORCslTvxKuAblXwDgnuyqBdyQ+E11nPm5/Jt9/v5JcZ\neykoKM+UW7WKY+T5LTl/RCv69muMxSJVgLUX1N7X/oAOvnSqupaEn8UOcNtSObRDAVzXVKb+tIPH\nHl/E7t3GfwXj7uzKMxN7Y7PJgd+r0wjeJrjrUCa4a6AaRCQhS/cqy7Orc9nBwK7MeXuX9ao2DZXB\nAA+GdjCsK3PkQg7txCsDtD9gq4G3D9zVuGhE4P680zdtyeeTz7by9bc7yDrm8O2iS+dkRo9uw4UX\ntqF9+0RjnSog7XvueeJvrENdOsHXkz+wjdflzyVRPl+IQIgb84UxHZ0yh4uXXl7BSy+vQFV1+vZO\n5Zsvz6NBSpj3YANNQU3hXYd59+kObxPcf2cdb0QS6sKprcsOBnkFiHtf17LSpAK4LYHT/YFdFcRD\nzAsZpVQDW9+8ysAdAsyhfgRciuCHn/bwzvsbWb7iqO/ttWkdz+WXt+fSS9rSuk1SgKv2h7XXTet6\nRVAHA9x/mu91UFwSHI2An5sW/k67fFowwP3hja6x4o9Mrr7mFw4eLKJ58xhm/HQRzdMjQ+feJwJv\nE9xVr2uC+zRWbd12LaBdwWWDAejKgO2bXg3EvQqOUPwVXGkSCthgAL06mFcGcknG4VR48Z0pTJ2x\niOgoO7defzFXjjrLWC4IvNWCO8Qy3vkOp87Hn27n1dfXcvBgMQAxMTYuv6w911zTmR49G3outIqg\nDoa0P6CD4xEtBLy92wqlILPtg7UP1JIIALkX4sEuPBjgR48UMeaSH1m9+ihNm0Yzf/YYGqVFVP6f\nXVUN4t5lQukE4W2Cu45kgrsK1bb0L/hCqKnTrspl+wMbDGgHuPNKGi69qsx9VxqVhHDe/hD3zguG\nuP9rD8B1Xeecq5/AfewII1tGU+RS+XJLIbfceCkP3H5VOYSD3bRnmo7f/GBX7gW5rvP19/t4bOIK\nH7Dbtonnzjt7MHZsR+yRRoygaqFh7e+m9RDOWwsFcb/rpQbtkfib7gAg+0HcC+dgF+7vwIPhXVjg\nYOSFU/jzzyN07ZLE/NljsNulaiMTqAW8/+au2wT331G1iUiqa4z0XECV5tnedVRXoMtWPQ1pegiI\n+7tz//36O+2qqk0qVJbUIBLxgTnIkXun+W1j+frdXHHHy7x+dmNkD70OF7l4dOERMtd8j9Vm84HY\n4XCyfe9hGqWlkpiYEBLcPmhLVgD27C/l1rsWsWDhIcAo33vssQGMvKANkiRQvYD2y6nVoMzaO18L\nBneFmEQP/IircNyVuWzfPwr+wBbljluWhC8ikTx/ZclvebkivHOySxhy5pfs2pXPTTd05K3XBnkO\n6CTm3X9j111X4D5JXY+ZqguF7uWvcmgHKFTDog/Ifq5bVypCW1NAdRpQV13GdNVZ/tDV8nlKFQ+3\nw3h4l3WXGusrnr/u0orz3KWeh3c9Z/k6bgcoTuOhOtmx5xCtEsJ90AZoGG1DVVXy8gt8cPnw86k0\nPeNCLr3qLtr0uoC7H3oOVQ08X8HufNrMA/Qe+D0LFh4iKTGCd/87jBUrruPCi9qiYwBaUz0PTUfV\ndBTPc03TmTd3DueeN4w2bZpz8WWjWbVqJYqqex6asbyioyqa52FML3/oAQ9VK38ET/Pu03c8qo6u\nB87XdeOYVVU3fkg07zJ+Pyie5TQ/95+YFMlXX1yIzSbz4eRNLFx85Pi+zHWoOh/k+TSU2VfJqVJt\n66JDKBjsPrftH1/4u+0K7ttZEdjBUYoeBHsIyMD1WlSaCP/4JFTGHezAvS7b+1qSjWOWZBAWerVL\nZfzhYkrdCditxrqbj5USExVBUlw4Qnfzx9odPDbpHZ4ZlEqT2DCKnCovzp3P2y1bcNct//IeWIDz\n/u8H27jvwSXoOowc2YL/vn0eiUmRBtD8wKjp+KDo76qXL1/GrXfcwr8eeo6buvVkzeJ5XH31pXz/\n/SyapbcInXH713FXk49Ifj9UQoCKHhSD6EiaNxoBXSqPRiQJVB0DdZIAdFRNIIRu/ABqOkgCDd23\nvc6dk3n4oT48/cwyHp6wlGULLzW2C4EdT3mfe/pAORlD4pkKLTMqOVWqTaNkJTFJ8L+qAeD2z7W9\nrtk7zxuPeN1zVdD2ufPyHwTd768/uKuCuAjKvIWvxE8unxcMc39oeyEue0rTZBtIMrc/+x1zl2zg\nrKaRlLg1Zu0p4t3nbmPMiMEgyYyb+B756/7g0g6Jvn1vOFrCd4cs/Ll4mme/VnTJCkLm/Y93cNd9\nSwCY+OQAHnywHzqSEYF4na2ngVHzOFjA52A1HW666Vqa9hzI0DFX+vb53dsvEaO5efTRZ3zrGues\nfH3/15Wfx8Cow/91eSNk+XxJCGOeJxLxxie+qEQWFWITIYzYxD8ycZQ66dDxQ44cLWXaDxdwztmN\nqm2oNOOSuotKTthxCyGaAJ8CKRg/wu/ruv7GiW73H6nqvrwhQV4O7SrXCW5c9K8cqQraqhNF1Zj0\n+Uo+mrmVUpfKhX0a88INZxAfaUELAHcVVSZ+8u9wSvIDdwWYe5y1D+JymHFMkmwco2Th7UdG8/OS\njkydt5b4KDuznziLbh2aGz9KhOF2u5GDQmGLJFBUz7EK2ROTyPy26Ajj7l8KwOuvncW556Wwdt0G\n2rZrj+xpDFU1D6T9YgjwZNueeZmHD9G3eauAfTZs3podi+ficqoBsPYHtVaNwfHdPCMZmPKHt+6X\nX3s7nhLCcM5oIHTPaUMgYTh9IYQRj3hgrukge/ub0gGBZzmIsIdx6y3dmPj0Mj7+bIsB7so/4JPS\n6Giqcp2MqMQN3Kvr+lohRBSwSggxR9f1LSdh2/9YVfdvZqXzQ8UcwXGHroSGtDfL9ltOV1yMf+d3\nlq4+yAN9GmC3yvy4NZfzH5/DwucH+y5QXVN9jlPyu2j9XXgF1y1XBLb3r2wJ8z2XLDYPyEsNePs5\ncSHbuKh/cy4a2Mpw4XKYkZF7dPn5A7hq5hKGNIsm0W7FpWpM2V7EFVde4XcgEnkFbq6/eQGapnPP\nPd2ZMWsSTz79J7Hx8ZSVFPPWW++QkTEURfHPh72xibdRUkfToFePfiyb8SPtuvc2Trum8fvMqZwz\nYCiOElcFl22cpyruiAzhsgOeC+GbJiSBrglkiwToSBJGS5Zn8154oxnxCpJA6HgWEJ6825iveRoq\ndQQCnbFXdmTi08uY9etenE4ICzMBfap0wuDWdf0IcMTzvFgIsQVIA0xw17WCLpqQjte/QTLUtOD8\n2zfdgHtRSRmfzNnJ2+elExtufF1uPiOFe2bv4/ctWfRpGYOu67z76z7+PW0vx4rcdG0axfNXtqB3\nqxi/Y6sI8PwShUlT9zNjdTZR4RZuGNqIW4c3Q7Za0BQXQpLJLVFYuiWflLgIBnZOQ7Z6tuMFuKYw\ne8Uuvvx1PZJs4eoL+jK0XydfFj6kV1vuvGEU496ZQsvkKPbnOjhrcG/uu/3agNM08bnVHDnqoG/f\nhhw99j2u8Bhen7Ecqy2MzSt/56abrmfJkpXExyf43LWiauUNf55GP1XRuOaqW7nhpjG8cvd1tOra\ng/VLfsOK4LxhF+NyKlWC2+12UVJSRGxcApJkZMcVYpFgUEsCoRvAFpIAiwSK5inxK3ffRhYPSIaN\nLq96wQC4z22X59uarvv+Y2naJIZ2bRPYui2XteuO0ad3csXvm5/MnLvudFIbJ4UQ6UB3YMXJ3K4p\nQsckNZV/TKL7PddCxCWKywdtTXGRV1SGTRbEhJW7ZSEEadE2Dh0rQW0WzmcLD/HOjAM82r8RTWLD\nWLK/kLGvb2L+o21oGBO6xV/XdS5+ZTfJYTYmDGhEkVPlf3MOcCyviEdGNUWy2Phs4REe+3YP7ZMj\nOFaqEGW38vPEDNISI5EsBtgnfbOB93/ayIiWsWi6zlUPTuZfo/rwwr2XGDuSw3j4tjHcdMVw1m4/\nRHqzZrRskY4uWw0TKiT2HXDw4cdbkSTB66+dw5CMe3htugFtgA49+9Gp72CmT5/G5Zdfg+JpnAyo\nClE1H7jDbVF8+N5U5syZxr79u7hs5NUM6Hc2ikuguFweZx7osDVV4+vv3+fHnz5F0zRiYxO4/f8e\npnevIb5M2t95G44aZFnyQVy2SB6A68ZzSQASsmw0Qmq6EZmgCY+b9mT1OkieyETTha8u3BuTAB7X\nDd26pbB1Wy5btuUGgtuMR/5SnTRwe2KSKcA4XdeL/edNnDjR9zwjI4OMjIyTtVtTVamyxsLgMkG9\nYumgt+GxYZyNaLuVtUdK6d7Q6HY0p9TNhqMl9G5hR1NcvDf7EDd2SyE9PhyAIemxbMtx8NXSLO4+\nK658t37H8/uuMvJLVJ4ckOpzd/f3a8R9s/cw7uwEjhZrPPHtHl46uxlp0TZ0Xeez9dnc++4ffD6+\nJ5LFRn4pvPLNWl4b3oxEu1F73adxNHd8uZgd+47x9au3YQ0HJJmk+EjOGdgNTbYDoCgKa7dswR4Z\nycdflqIoGpdf1pYOHVPQNA1JDqyUlWUZVVGNMjzVALTbpaKqmg/euqb7XktYOfvMUaiqATPFraFr\nbuP0hnDas+ZOYfEfv/HMF9NJTmvCpj+W8tLDt/PKc5/RpEnzcoctDIetaXq5E/e4bcDnuIVmdAig\nazq6VH77ve6JRXTdiEy8mXaFr4iOr2NZf4A3aRINwOHDpaFXNHXcWrBgAQsWLKjRsicF3EIIK/A9\n8Lmu61OD5/uD29RfoFCRSXV13r5pig/axsPFm7d05Zp//0m/xtGEy4LF+wsZP6IRKVGgukrJK1F8\n4PQqIdxCdoEDpcz4Ddc1NQBYB7KcNI2xBXSQlGS3oOuQnX2MGRvd9G0cRVq0DTBc/pj2CVw3dSfO\n4nws1jDW7SymaXxYwL5TIq00jrGxZet+3vh8NuOvP893044u2xCSyuIVGxl7x7OERcZQUlxCXva1\nQBh33NELHcHAQYN56a5rGXDuaPqdexHZhw+wZvFvTJrwNC6niqtMQdN1FJeK262iKhqKS/VUmfhB\nXNFQFBVN0zx11gbEQ5X7zZo3hSsffJKURk1xlBTTpFVbBl94GbPm/MA1V9yFJEnlLttiPPfGILJF\n8sHZv+8Sf5hLkihvg0D4IhMD5H7rGG2ZlQLdHmGcS0dZzRqiTdVcwab2qaeeqnTZk1FVIoCPgM26\nrr92otszVYkqG8/vROVfJuh5eKGtef6e2SmB35/vx5Rlhykuc3PPpY3p2CgcTXGiul1ktLXz6648\nbujeAACHW2PR/gKeHhmO2+VxmX4lcKqqkx4nWHO4mEKn6oth1hwpIcEuiJQVZM1FmRLoeh1ujXCL\noKS4EIcWRuMYOJBXRqlb9dVxF7tUjha7uat3It/MXMn4a4cajZZCJvPwMW5/7BmmL/iTsLAwzhxy\nLp0G3MhLd80jwl5Kj54Nefa551m3YT29zx7JltXL+fqtF7BaLEx6/nXi45JxlSk+WLucig/Yitvz\n16X6YK24jeeAMc1XOlgxUnA4SrCFR/Duk/fy52+zEJJMZEwMrZq0x+VSkCSBRZN9uTcEQdrPfUuS\nEZdoklGvrWs6GgT8SAZ8BXQdDaORspJF/I7TAHZ4WFAEZsYkf6lOhuMeAFwNrBdCrPFMe0TX9Vkn\nYdv/WFXasFOTLFGyVHTdxwl+L8TT4qzcMSzVALri9EFbU1w8MDyGS945zGO/OWgaG8bKzGIGt7LQ\nq7GM06WheUvodJi6wcXbS52UuHSskuCu6bsY0SaeIpfKon2FTBoRjsOhMShd5pV5Jaw4WETvRlGU\nuDU+Wn2Y5okyHR7aBDo0irfSt3U0Excc4IpOSWg6fLsxm6EtYrHIEmEWjLst5TA0TWP41RNpb3fz\n+ZjWlLo13vt9Gt+sjAKSUNyb+HPlKv77zju88N1cYhOSAFgy/QcWfPMxgwcOp8zhxlWm4HIqAeBW\nFQ2Xy+0DtcupGOBWVJ/TNu5uDO24JUnQvlVv3n/qfpq2ac8bM5YTYY9i0S9T+Oo/z5GfV4Ddbsdi\nkZFkCYtFxmqzGIC2eOq/vaWAFgnV0zApefbljU2QPZ1goSPVYAi0UMo8bPwHlZJir3ZZs2Gy7nQy\nqkqWYN46f2pUHcQlufKcuxoZwC6HvxYQn6joqtF4qSkuEiNUZt0Ry5wtTg7mu7muv512KTJuRffd\nbKJpOkv3Kryz1MUjA5vSMiGcbdkOnl98gKzSfJrFS0y+JJy0GGMg3QhZ8MrIMJ6Ze4R3V+q4VJ2m\ncRJWycZb5zUjLlxm+cFi3l11hIt6JvCf3w/TINLK2S1j6ZkWxYvLDvPgDUN8t8wvWrMTd2kJ1/Qx\nevGLtMmM65HAtT8aI9RIlv0sW7aM7gPP9EEboP+5F/Hhsw9RVFiEzRqOy6ngKlNQVQ1XmYKzzIWm\nGX1Za5oBc5fTbbhvb0yi6r64xDiX5Z+Z10H373Ehi5f/zBMffU9kdCwAGRddzrIZU1m1Zgl9eg5F\n03QsFtmznkD3rOtthBQeSAtJ97nsqgZlCJb3TsvgnmL9XfjmLbkAtGkdh6lTJ/OW99NJ1YHYzzWH\ncuRCsoS+e1Gy1ArgwXdD6qr/nZIKqttVHqco3uc6Z7a0GtmvouN2a747CzUNFFVnyjo3l3VKpmWC\n0YjZNimCSzomsScvl8s7yoBGicOgi0UWtIoTfHZZGNkOyC7VGfdTGS8PSyXek7P2axLNH5lFtE6C\nJ0c34LlpWUzbkc8XG7K5/YL2nNM9lYfenMWGXTnYo+zEhkkBcUGERUbTjXinZ880mqe3IOvb7wPO\nRc7Rw4SFhaEqgjLFjdPhpqzUjaqolDlclJW5UNyqB9w6Lpfb57h92beqeW6Vr/jZehtBVWH04B1u\nD3SykdGxFBUVUlbmwqZZUNwqNs3bH7mGprmJiTVAL0nCaBj1NF7KkjBu0/fcxl6ZvHdUBk4LBLZA\np6jIxfr1x5AkQfeuyScvHjFjllrLBPepUm2ii2Cg+7/29RPheS3JoKoGrFW1/LVvXQsI1fgfSfPe\nyEL5bfCVyAttf9fthbaiGJD2drKkql5wE1A6V+TUiQ0L/MrFhlkocuo4ncbxeyNct2TARLZIRMpw\n80wnigbRtsBsNUKWKCx1cv2AGC7r34nMYitNGsRSokXQ+5av6Jtm54ykCNZn5rEhs4Bt2TG0TTLg\nOHOnAKxYrSV06tiCqT9NJedIJt/992WGXXE9BTnH+OSFxxgz+lrQBC6X4nPZilultMTpA7c3KnG5\nFNxlCpqqobpUFJeGrnpcdxC4JVlC8rQCyjaZJo3aM+vLyVxw3W0AHNq9g3W/L2T4HVfgchptBRaL\njJDg13nf8POsz3A6y0hKasAtNzxEv74ZvnjE+Mz87srUQnfFVFnu7TtGv/lz5+1FUTT69mlIdLRc\nEbiVlazWpF9uU7WSCe6/iYzU0gtzz4+C/4+DccscVNanQy1jlfIGTKNSQfWDtrf3Ok3D91pVNHqn\nwfTtOZy9uvNoAAAgAElEQVTRMBJZErhVjZk7chnUFLxFCl7nJwkdSYBFVfkjUyM50kqp282PW3O4\nrlsKQghySt3M31vIed0jUV0OrBYbrZIjkCQ3z3y3m4GNIrm2q1Fr3LdxNKqmM3HhIQY3j8ehwsqD\naZ5zl82hYgvJzTsStW4DK2b9xK9fTSYqOoaLx1zN5RffhNuporhV3C6FMocLRVEpK3MZz93Gc9Wt\n4nYo/LFmFhv3LqK4NJ+GCa3o0fx84uwNKzntAkmWkG0qnZueyQ8fvMbvs38mLqkBW1cvR9ehoCCf\n6Kh4X6zyx6o5zF8xncc/mkJa81ZsWL6IVybczb8bfkrz5q09n0/VLrsy+Q+y4JV3hPivv94MwEUX\nNC+fZ4L4lMgE92ms6u48C56v+zc1CBlQKj6XZNA9EJcsgU5bkkE17mysEJf4Zdv+r70u2xeP6OB2\na7jdxnTvNEXRGdpMYlWmkzum76J9UgQbs0pJj4PuKYJip+5zd5JfzmqRoMChYxGCCIvE2iOljP91\nL6lRNtYdLSEuXCJM6LjKyozb4yUZOczOmp05jGhSfucmwBmpdkqjkxk+cigRMQmcld+dJ57dRJtu\nrbjyPuNOyjNHjeWxsedy2aVXEx+fQu9eg1HdOk6HG7dLobTESWmJE5fTTWmJk5JSB4rTjVqm4yhx\n8O2c5yly5XLrU/8mvV0n/pg7nR/eeZ1hrcZht8UGHI8X2kIWWGwyOw6s4sLr76Rlxy6UFhdx29P/\nYe53n7L0918YnWS4cE3TWLhiOlfe+xiNWhiQ7tJvCEPHXMWsOT8w9vKbmT33B/Yd3EWb1u0ZM2Ys\nCQkJvk6ofP1t+/fD7RtIwa/XQam8kymAQ4cKmDFzD7IsuPzSNkFfxGr6465jna4dTNWlTHCfbqos\n5/ZO97np0MsZo6Lj6YzJUu6yvR07BfVDXe7E/V5TsV+RyqR5bv/23oGn+7nu8vgEXCoIBOP7yGzL\n0dlfWErzOFiwT+f2WSp2q+CsdIkRLSXPnYIGUBQNOiRKvL+qDLvNQs+0SJbuL2LFoSIax4RxtMRJ\np1QZt1vH4nKg2iIQskyHxpFsznbQNTXSd6xbcpz07NONu28YhRaWwIPP7QGgXfd2vmUy9+wk+9gR\n1u3cQVJqCZP/9zaXjLqOkcOuxuVx2y6nm+LiYn6c+T5rNy5EU1WapXXEbo1FsTi58YHn6THkHADO\nu+omDuzczpw5b+JwFhIfnUabyAzSojsYFSI2CSFL6KpOcVkezdt3oku/Ib7jada2I2tn/4aiqL4b\nbhyOYmISyns7BIhJTOLgnn3ccc+ltOrWkw69+rNyxWJ+/NeXfPHZNBKTkgilgBzbb+CFANOta7z9\n9moURePi0S1JaxhOQO+UVekvGAHnnygT3KdSleXcflAOcNXB8PbO967nvy3/rFtXPQ4bA+jC4ul4\nSDZybgm/rLui4w7oepXAmETXjP4svD3dKWr5reCaDi4F319FA0UTNI4W2C3w7FI3N52RyqBmMRwt\ncfPK0oPsynPTJEaia4pE4xgJi6RjkQXXdbXwwRqFX3cW8OCANNomRbDiUDHvrTxMZp5ChMXCoUKN\nL2Zlsi9Xp03jGH7aUwBAx+QI1h11sOywg9euG+GLlI4eNSpKXGXHfO/t4xcmcNW4CZzp6ZJ11P/d\nzcOXDqNbx0HERCVTVuaitMTJd9PewpIYzuvTlxFhj2T6p+8z7dN3iYlPoLHHCXvVrG0H8rKPcO/L\n77Fl1XLefmQc2cV7SQhvQoOoNlhkK7LVQpzUiN9n/ky3AWf61l028ycaxLbAXab4wN2uVU9mfTGZ\n2559DUmSKCstYf73X9A0NZ3OA8/k+keeAyBj1BW8P3E8X339MXfe+UDg6DZ+XbyWD1tGhYGEBTpH\nj5bw3vtrAbhvXNfA72pwT5UQujviUPqbD1tWlzLL+E61gof3qtW6QR+fkI2sO3iIsApDiHm6S/Wf\n7u3z2jPuo/CMpl4T5+2tbjPqtT3PPfGIpoOiel5r3r+CFZkqPdOiyGgeiywZfZ/c1qsh+wslLJYY\n/rtaZc4eBZcqcCmCrikSbRNl/q9HCl1SIwmzSAxuFsN5reOZst7FtqNuLplcRHGBjd5JcWzfXUpU\nuExYUiQzDjlJad2Yf98/innLNlBUZNyunZPnBGDJL5+wYu50tq9byc6Naxl0waW+9xafnEr3QUNZ\nvXaZ0fjodFNYVMCmbcu5+cmXiU1IwhYeweibxyFJEs3admTJjB/Lz42qsmjadww4bzS28Ai6DjiT\ni++4jzz7Hg5HrWP+kbfILz2C6lZoHtWPjUuW8fKd1zHrq8m8ePu17Fi1mq5tzvKrBdc5e+ClHNmx\nk0cuPYd3HruH8RcNoUPLrhSWFNDzzOEBn02PM4ezbsOagJt1/KFtvK6Ya0tC+LLtSZOWUVqqcP55\n6fQ4I6XcbQcPXF2VzCz8pMp03KerKnPdvvnlkYmnI84AB1MemQAo5ZGI7y+G4/bGKV7H7eeuJUlG\nJbD7VW9pYDDQjUbKwJFhgqGtqAa0FQ2KXVS8TT7CgqbDjWc04MK2CdwxfTdz9jhpGiNzXkuJIpdO\ngyhbwDqpkTa25sIHy92MbpvIqPZGhNCvSTQvL8ukU3oME28cQL87f+CjaeuIDpO57fH3uO+Oa8nP\n7wXAfffcyqyfJ3Pk6BGsVisFOcdITE3z7SM78xCdG57hK/UrLS7GYrESHhnlW8bpcCCERO7Rw+ze\nvJ6jB/eR3rYjS2f+iBASfc8ZWX7MjZuR3KgJj73/DT9NfpuFn/9AL8vl2GwRDEm9hUMHN7Dq2/nE\n2xtycf9LsBKO7htyTCM8ws59t/6b3fs2UlCYxej7L6Nli3a8M/lZdm1aR+e+g3372rN5PenNmvv6\nOTEcdXkkIst+0/3ct5fjGzcc5cPJG5AkwTMTe1fukk9Btv1Plgnu00EnUhoYPA9vB0F+y3jhLAF6\nUE23F8C6Wl4+6Fdh4o1NfH1ly3KFKCVYhjPENxCupld8tI6X+GZLAaPbJxLlKfGbvj2PHmlGJp0c\naaVDsp0BTaORBLy/5ihdkgVzdubRNjEcIYzBeuftyePC9oKv1qtc2Doq4Di6pthZuyuPd2f8TGq4\nxGtntybCKrEjx8GEtz6lUZP2AJwzbDC33DIKt6Ix8akneH/ieG6Y8DyxicnM/vpjsjMPEjEgko++\neI78wlwaJbYhMiKO33/9iQHnjabMUcqr995IXFIyyY2akLlvN1tWLWf1wjnYlCjSu7dH8vz46brO\nnG8/5cj+PeQcPcx5V93IlHdexR1VhixbkWUrrRP7YouyYbHJyMJmuO3gUkJJol3r7tgjwwmPsCEk\nwZiLruWBR/9FWHg4HXoNYMPvi/htyud89fV0H4wNSHuddrnj9sUkorwEUFNVxt0zF03Tue3mznRo\nn1Bzt/0PH929rmWC+3RRKHgHuW6gfIy/oIbK4PH/dD3IdUv4OWuP6w5V0+2JS4QFhKdPbMliQ3K7\nfBGMN/P2Dokl6YHjIIaSAWxjGUXTcbghIULntl920TMtir35ThxujefOauo5fp1jpW6axIbRLimC\nrBI3+3Lz2JpdzIR5+2ibZGdVZhHJkSpDW9hYdkBjY1YJzeLCfPvcnONgSK8GTFl6iH+fm06E1Tg3\nrRMjGJIew6JDuYCd8HDD+a9ZuwaBIEzXeeKaCygtKaZHj0GMGnEd73/+DKNvuYfUxs2Y/+PXoMPH\nzz3O7C8/4eDe7aS37Uirzt1ZvWgu519zM73OHM6qhXNZ+vE0Dm/dywMXD6VnxjC2rF6BEIKB54/h\no+ce5paJryJ5fhQ1TUUIyRicwTO2JUBJWQFLt87iQNZWYqITGNLnInqeMTigv25JEqQ3a8XLkz7m\nqykfsGTqN7Ru3Z6PP/6e5s1bevJqQOi+4cwk4Q9tEVBJItCZ/PE6lv2eSYOUCJ58rGfFBslQw+h5\nXlcps0HyhGWC+3RXTatMCG7ING6Q8MHbW00iyYbrBiMq8S8N1FVjniSDqvhybq/jNpy24ntuuPDy\nC1YSnn6eJU9VSIhbrEvdOm+tUpCEhdYJURwtKWbFwSISIiykRFopcWvopW6mbMrBbpVom2jcZdk0\nNow1mRAbBluzy9iT76R/I8GdvSUkIbimu4X7Z2TjVHVaxYezIrOIXfllvDu4MZOm7KgwfJlNFjid\nxrGHh1t47Y3/8MGH7zFw5CUktWjD9u2bmfjYm3TvMpC7H7icmye+whmDzwagS/8MJlx5PlbCyTpw\nkLF3P8LZl14DGHdaPnLFMAadPwanoxSBhXh3M9SwQiKiornw+tvpPvAsVMXNzUO78t4T42lobw+h\nhxbErTj5cdkr9Bp+LpdMGM+R/Xv47KWJHMjcStvWXel5xgAkKcL4yIWgVav2PPfUm9jCLciyhMUm\nU1ZWyksvPcXUH79FURTOG3EBzz/3IknJST4HLvwcN8CBA/k8MmERAK+8OIi4uDA/l12xQbLy13Xj\niv/JbhtMcJ9eqkFkUmneDeAdXdv7PLiuO8B146swySsu5aMflrJ68366tkzmphHtSIwOQ7KoyH4D\nA0uKkS9Lbhe6B9wW751/cjmsJS+8NT1wmtCZvVulRXwk4/qmkVXiplvDKP63JosBTWPQgYkLDlDq\n0kiyW5h0djPvgKnM253PoSKdyzol8VhGHEeL3byxIpNfdqhc0Q3aJkm8d3E4X68vZOqOfHq1jOLV\n285g9e4CZAGfrTvG+P5pyJLgUKGL3/YUouvG+cnNPcZbb73GC9/OJT7ZuAW+x9BzeWvieN5//RcO\nHtxNh579yk+lEHTpP5i92zZxeMVOMkaVD4OW2KAh3QedzW8/fMmcrz+jNUNwSPnY7NGMuvEu33LO\nMgeq4ubYhiza2s9EkiSK3TlkF+0h0h1Di6gzsMp2dh9ZSaPWrfjXg0YXn83adMAeFc3bE+7mYMF+\nPv32VR578DU6dTyjvLtXz6ALwjO4wkP330u+y83LP8zHagvjxw9e5+prr2DWzDnI3kzb67Yx2ilu\nv/1XiorcXHB+cy4Z0zx0RFJdrm1GJHUms6qkPiioekT3VYsEV5VIgc+98YpkCRinsfy5THaBg15j\nX2HWjOWkFufy2/x19Py/zzmaX+ZrqJSC/npzbm9c4n3IssAil/8b7q3F3p2n8f0WlWk7FNYf0xjR\nOp4PVmcx/td9zNtTQLFLYeqWHPblOxG6TqLdQk6pmxcXH2DKphwenbuPvfkOOqbYuahdInarTPP4\ncO7qnca07brvX/02KRZeuNDO9zfH8sSoBkyen8lt/13Hnb0bUuRSueGnnYybuYfxv+5F1XxNuqxb\nt4b23Xv7oA3GqDcul4ucnKM0bdaaDcsX+eZpmsamP5cydPRYwiPsFOZlB3wMh/bsZNbnk2lKD6Kt\nScRbmrBny3r+/G0muq7jdjn54tVnSLG3ol3EUKyyjb2lK1mR9znxfaMoaXCYn9Y9T37pYQod2bTq\n0j1g+83bd8btcvLYh99y05Mv8fLrD6PpWtBnISFJgry8bBYtmsdNT75CfHIqUbHxXHXfExzJymLD\nhvUhGyTfe281c+ftJzEhnDdfG+SrLin/Ap66XNuUIdNxn26qbferNYhMfL3CeWu7vY5bt/DGlwto\nEyNxe48UAIa2iOWD1Vn8+9vVvHhTn4BYxBjE14bmGchXU2zIFhegoMoCt+QZKVz2Dq2lMW2TwrTt\nOme3iMepahQ68/l2Uw45DoU3RqTz9IIDKLogPS6M7TllJNutjO2czP/WZqGoLvbn5dI9RZBTJhFu\nC6woSYmyklemlUczfoPoPvDNEaavLeKWng3o3ySGgc1iOFDg5KPVWRwtctI4LoLduRK6Dk8//TQu\npcgY+caTGxfm5eAscxAdHcflF93CG08/xJH9e2nQJJ2FP3+D1RZGjyHDaNqmA289ehe3P/M6MfEJ\nzP7mEw7t2k7v6KuRsaCqbmwWO230DD584hEmhz2Gs6yUOEtD2oSdicVixaEWsdfxBy//OI/45FQA\n5nz7KXM/+Zwebc9l5byZjLn5HmSLcbn+Of9XWnU2YN5jyDC++s9z7D+wkw4dOyPLhuv2DmVWWJhP\nVEws4RHlnVdJkkRSgzRyc4wfHP8Gyc2bsnjk0YUAvPX6YFIb2APddmV3SP5Fubbptg2Z4D4dVVlD\nJVR/Y45nmYAbc8DXsKhrRmNkfn4JNkljxdpd9EmNCNhVz4aRzNuUCRYbQleQPVUkepjRsZQ3MrHY\nVE91iQNZdWO1SkieLkV1XXCsTPDdZo03R7Twlf71bxLD47/t5/96NOCTtcc4VqLw1ojmNIiyoek6\nb/9xhD8OFfH4kMbcNWM3N3azEG4R7C/Q+N+GQi7rmESkpwpl9q58WiUYnS5Z5HLHv/WYYM7GYsIt\nEo1jyhsrm8SG0bNRJFuyHRxxWgi323GUaFz90CQ+ePp2Xr7rWq596BkcxUVMfvZhYuMSGHvdQKKi\nY2nUoDnr585j36HtDLnoMi69dTyrF89j/44tRERG88AlQ1FcLjr1GUiDtHSK84+RZEv3/RAkWJoQ\npSbi1p2E2e1EWGM9VSQW8p1b6T7obB+0Ac4cPZZPX5nIpcM6sunAQp689iKGjLqMg7u2s3zOLzz0\n1meAUfnhKCkmMioSq1U24hIPvGWLRIsWLRG6zobli3xlggd3b2fv9s306dPHuO3ek3E7Ssq49l+/\nUFamcu3V7Rh9YXrFiMTvO1gptM2SwDqXCe7TVcebd4MP5P7zNV2wesM2NmzdzXufTmPD9gMIIUhv\nmMDOaI3ejcpX35lXRptmacZI6poKOI3KEk/eLVsMcOua4oO4zXMnpSSBpklsy1KZuU2hdWJ4QL12\n26QIwi0S2aVuVhwsZnirWF9ttiQEl3ZM5KE5+7i5RwM0HcoUnZgwaJMoOCMV7p65m76NYzhY6GRn\nbhnx4TLjpjm5oKOFrFKF7s3CyC6V6NYwEk2FRfsKubqL0dGUquksOeSgV4/OpPUazswvbThKymjR\noStj75nAV/95lqeuG4UkoLS0lK79Myh1OoiIjCK9Z3fWL1tAbFQif86dhdNRytol87n+4WeJiU9k\n5peT0TSFB9/8lHcfu4/8FSVYrWFIksRBxwZ2O5YjW2VUt0qLiH7EWFOQZSsWSxh2dyzZmbsCPsL8\n7CxjfZtMcWk+1shwfp89jeKCfDRdJSo2DpezjB/e+w+NGzWjWbMWPlh7H5IEFtnCq6++yW233kCX\n/oOxhYXz5/xfefmlV4iNjSmPSHSNe++bx6bNObRuFce/XxpgfJVOk1wbTLftLxPcp7Nq47z9822/\nkkFdyBw+ks3Iax4kNzsHWXWTVeJmXJ+GdG5g580/s/hlewnhMnRtEMmGrFJm7C5i8SNnGkN+acbN\nOxIgayqSx31LVi+8VVRPOVs4xZQ6VR6c7mDdIY0mMTZ257lQPX1DAxQ6VRyKxtzdBejolCmB+alT\nMUbGWXukFIsk2Fugkh5vQRJwcQcJl6qw7kgxo9ol8vDAxjgVjbtm7mHqeolODSJ5Y14xmqSjKIKH\n+qUx4bf9ZBa5aBEXzoK9BbTt0IrI+DgSUtKwWI2uUhW3RmKDNCy2MM4YfA7zf/qa6Nh4dm1eR5+z\nzmPvtk1s+nMpEz74ljceuJUYkcCSX35g4v9+pGlroxa8Q8/+PHDJUNYuXcCK32YQHZHE/vzVRElJ\nFIljTPz0e5q0asfB3dt54ZaridMa0iimAxabRHpMV7bsmMO0/73D4Asu4fc505j33Rd0aT+EzbsX\n06hNa+799we+uutPXnqShy4/BwlB5049eebJN7GFWYy6b08liTc6ki2CIYMzWLL4D2b9+guK4ua1\np5+kadMmAQ2SH360lk8/20R4uMyXn55DVKRcsfTveCpITGjXiYRe3bAYJ7oDIfTj3YeatwvdXXSS\nj6geqgYXRMh/Wz0X28irxhOTu58rOyUghGB7joOnFhzgnZEtkQTc+PMeLsjowsbtB+jcuhET/u8c\nOrVIAXep0Xug6gTVhe4sMnoEdDnQFCeKo9j33O0oRnU5+HBRPj+vUZgwqClWWfDk/P1EWCTGdk7G\nqWp8uvYou/KcDGsZz6wdeSDgiSFN6Jhip9il8uKSQzgVjcPFbgY1jcbhLuLKzhJv/6mxI1dDILin\nbxo9Gxk323y27hg5pW7G9TVGttF0nUmLD5JZ6qZjop0zm8WweH8hvx8s4cJzevD+S/fz1hdzeXfq\ncgrzruHowSJe/n4M373zCEf27+FY5gEu+NdtrJw/iycn/4DVFoau60ye9Ci28HCatGrH8u+nsmP3\nWj5asiXgM3jz4TtYvWgucUkp3DBhEvFJKcz4/EM2r1zGi9/OYd2yhRTmZVNSWMAf381hYPo1yDYZ\ni02mVMtl/qZPyM4/QMtO3ZAlC3u3bCQ1tRnDr7+JgSNG+/azfd1KPpv0GC8+8yHJKcnYwizIFsnv\nr2y0M3hybovnueSJkoQwngsBsiRYvHAv518wBUXR+Oi9oVw1tk2luXal9domtENKWKOR41se37pG\nRVXIOlHTcdcHVXNzDgQ5b7/pjjI3839fy2ejWvocW5vECDo3iGRVZjGDm8UgS4L/PnMLCTERPkj7\n7q70VqFIFgQgVCcWQLfYfA2Wy7e5+HR+LmVlCit2OfhX5wZYPWWCDw9szKvLDvHIvH0kRAhGtpe5\nItrKi4vyaBJn4WCBwlMLDhBukSh1G2WAg5vFML5FLFO35pAWA++t0mgaG8OEwcm8seIwR0vKu6Ld\nmFXKNV2T/booFQxuGsvaIidtW6TwztL9KEDfbi246bKhCEsY7301ixJFJufoPiCBl+66keKCLTz0\n1ue8/uAt7N2ygUEjL8VqM/JxIQRnXXwVb024m9ysI5SWFmC1hrFt7UradusJgMtZxsY/liJLFsa/\n9hGNWxhdn/7fEy/x0GXncN/oITRs2oLktMasWjibMCmKmNQoZJuEJEvEhNkpWZXHA6//j059BgKw\nYcVi3njgVnZvWhcA7r1bN9K4UboP2t6abVu4xa+6R/KB2mKREAJfxY+QhK8McMumo1w+9icURWPc\nnV246opWVTZGln/hTGifSpngri86zthESDKSkFA0nTC/VRVVQ5YEc3YX0LF1YxLijb6iC4sdvPje\nNH75bQ0JMRHceeUgLh7i6fbULzbxgn3y7N08/eVmzk6P4ViRSn6pxmfrj9GxgR27VSbCKtE1NZKD\nhS4cisrZ7Ww0iRH0T7ey/ogxOrtd1pi5XeOXrTrXdU+hZXw4yw8WsWR/IX0bS2zM0nhoYDJWWWJE\n63heXHKIhtE2EiOsHC12cajQRSe/wWsPFjrZneVg3BUt+HzeLgY3jcZenMNFN79MiUslqUlLXv5+\nHg9d9hUHdznoN/xSfv3mKT579SkaNmuBkATZhw+yeeXv7Nu2ibTmrSjIOUZBThYWi4X2vfqSv3A2\nL919LRdefwfxyQ2Y9dmHNGnQlm27/iQtvVX5+RcCt8vJ2Rdfzej/GwdAQc4xHrh4KMX6MVJjmyLb\nZI7m7iEmIdEHbYDOfQYRn9SAxT9/R0JKKt0HncX29av49u2XmPj4axw5sp9fZn1HYWEegwadyYjz\nL0KWLT53LfsB2tdXiV/p366duZx/wRTy851cOLI5k57paxxzbSpI6rAh0oR25TLBXZ90HN3AhoeH\nceGwAXy6cSM3dk3AKgn+OFTMhiwHZcJKrgt+/XJi+UjoNzyP3VHANa1iyHO4ue+F78nOH8Eto3v6\n3WJv/FUUePSzTSSFy3y9KQerJOiQbFSo3D1jD68MTyfXofDj1lzu65fG/oIyXp6fx6fXRhMdqZOS\nqPtGgO/YFHo3d/HRiqMcyFexWYwRya1SFJIo8pWrtU+2c1uvVP6z7BBlKpzTIpYvNxwjLlymfbKd\nVZnF/LQtF0XVuXbSbO7vm0rnBkb/J+e2iuPmn3eRmJqGEILE1EQO7jpI6y79+fUrjUN7dqAqCsMu\n+xe//fglqxbOpku/ISz8+VuyMg9wxsCzuGPSmwghuPLeCUy4agS///ozpUUF5B3LMgYhjoph1YJf\n6TX0PADKSks4dugAw8fe4Pu4YhOT6TvsAjKPbaFd545IkoRmTaKkuABNVX39mmiqSmlxIRePup7v\nJ7/JzK8+okGjZnTtn8ELLz2MoipkjL6SxPadeW/yf5n320z++/ZHWK1GZYl36DfZ06mUF+ZCwKYN\nR7jgwikcOVrKkMFpfPLRWcZy/tAO1RBpOu3TQia465t8JX9V92viD++3X3qYa29/nJt+WU9kmBU5\nzMb9d1xFj86tGD6oO2FhNgQa8xb+SW5WDo8OTfNFDw2irDzz3ixuvmQQQsjlI+ZoKpsys3G6Vc7r\nlMjQFnHkOhReX55J5waRJNmt3DptF+FWmWu6JNEpxU7bxHA+WJnFmiMyC7aWEBMGF3WxkRJlvKdz\nO0eQEGPhzm9LiLHZSLZLLNlfTFy4hdm78jmvdTwAkTYZFUHzeBuRNpk2CeG8t/IIhU6VNokRTMxo\nQqRV4uG5+33QBogLt9AuKYItq5dTmJdDlKdUcP3vf5DatDkH9+wgMbURv37zP5q1ac+TH/2AxWpF\n0zReGXcdkbGxvvNitYVxzqXX8s1bL9H7rPO46r7HcZU5eemua3nvqQf48cM36NBrAH/+NgOLzUZ+\ndhb2qGjfsWQfPsjuDesYMnAEcXEpJCS1ITmxIV+9PomLbxsPwPfv/puGqU3YtG011zzwFINHXuJb\n/47hPbn+oefpc/b5gDEi/KOXD2PV6hX079ff0+sfyJ5GSm88IgmdWTN38q/rp1NY6GLI4Eb88PUw\nIsKlik47WCa0TxuZd07WV4Xqx1tI5Z1MCdl3h2VcXCw/f/kGGxZ/w+yp77Prjx+Y+MD/ccHwIYRF\nRIKQ0XTBqx9MpbE9cAir5nFhZBeWUqZZwBYN4XHklFlZvqOAueuy6JhsZ1ireCySICXSym29Upm1\nI37XI1UAACAASURBVI+M5rFEWCU+urAlZ7WIAyC7VCHCJnHvNwXk5UWwYb+N898tYnNRPNFJadgT\nGnLfjw7u7duIl4el8+zQptzZJxWnqvHjlhxunbaTcbP2MGnxQTI6xbMvz4lb1emYYsciSXROsfPA\ngEa0SYzw1IVDrkPxvRdN1zlQ6CLGAvePySBz7zoAFv48HXt0LFarDbs9CqvVxnlX3ojFapQxSpLE\nuVfeyLa1fwac7uwjmSiKm+sefhaLxcZLd11DWvNW3PrUq/QYcg7zf/iCc6+8kciYWN6bOJ5jmQdR\n3G7mT/2avds2MXjUZfwybzJJKbEkpcTy2AP/IWfHLm47qxu3ndWNvN27ef6ZtzmUuZfWXXr49qvr\nOvnZWfTMKO9722oLo8uAM9m0YY3HcRv5tmyRsFgkZEmguBUef3w+Yy75kcJCFxePbsFP3w0nyh4C\n2p6cu3y6Ce3TSabjrs+qYXQCxr+7aQ0bkOZfk+vpVRAhM33eCjZs2IqmuHEqGmEW4wdgzeESmqcl\nklXoJjXByrP//Zm3Pp9Lo7hwdh8r5sz0wHEdEyIsFLk09uSV4XDr/LQtlxGt48kpVXhtxWFkSfDy\nOc18Xbl2Srbz6HdHWfZ8P9ZvzyU2zEK3huUuuXejaD5Ze4yL2sTz4Zos0iOstIwPZ/baXASgA+e3\niUcI+GJ9NnfO2A1AaqSVJLuF5xYf4uYzUrBbJb7dlI3DrXJB2xgSIqxM2fwHMBSX04YQDl75fj4H\nd2/n9YduI/vwoYD3lXv0MPnHsti5YQ3N23dm1cLZzP/xK8IiIrDawlgw9WviU1K50xOl9MwYTlxS\nA1Yvmku/c0by5+wZPHjpWaiKQsuOXXnorc9IbNCQu87rQ1RMBEISxMSnMemZd3C6HciyRGbmPl5/\n+1lcbhfvT7yf2599jeS0JgDYo2PYvXk9rbucYXycus7ezesYe+7ZIRshF8zfy/jxc9myNRdJEjwx\noScPje+GLPygbNZp1xuZ4K7vqkF0ApXUe/vp66lzGdU6hq3ZDh6Zt59hLWPJLVX4eXsestVK3zGP\n4nSr2GR489ymxIVb2JhVwqRFhxjbKYm4COOr9Mu2PJrHhfHVphxuGdOTNVszGTtlO/FRYfTtkEp6\nbqEP2mAMePD6iiOo4UkkJFspdm9E08sHDlY1nWKXyucbsrmuWwoj2hhxye68MibM28++AicvLj3E\ngQIXrwxPp2lsGLtzy3h64QGS7Rb25jn4z+pcShxONEXh/DbxXNXFuL0/LtzGC0tAFv/P3nlHR1H3\nXfwzM9vTOwkJofcuvUjvHaRaUeERUVERxYIgiL2iggUEQVEERAGld5AOKh1CCwmk92TblPeP2d1s\nECwPWJ7z5p6zZ8rO7kxmZu/c3N+3RNKub1cWz3qJoNBw2vcZwnfzPyCxVj0atu7AqZ/2s+yjt2jf\n7zbef/YhMlMvER4Ty4Mz3uW9px/k4Lb1nD32M8FhEfy0czP1W7bDaDLToFV7vp33HpcvJNGoQXOK\nJZX/TH8Lg8FITkYaGakpBAQEYQsy++qLCKJAoMHC6TPHmPD4XQwc+ygd7hrDgS3reGZkL4Y+OIlj\ne3cQGhLKnOceZsSE54ioEMuWbxYjuJ306tVTT/2XBARg+7YLvPHGXjZtvghA9WohfDS7I21bxfz5\nNPar77GbWHuknLT/HG6YuAVB6Am8A0jAXE3TXr3hoyrHn4e/deKfCu+HMtH0VxG5w+EmNdNOt6oh\n5DtlDl0pptilIAkCr3aKIz7YTHK+k2lbLnE+10mTWAP1owNoEmtj3A/naZMYwqU8B8l5DprUSeS2\nFrX5dPl2XC6ZsCArz/+nN9USwnny5SVomuazY9KL3FhMBka+vpf9J1JRFJWvjmYztG44GvDFL5m4\nZBVVEOhRPdR3+FXDLNSNstIqPoiPD6Zzf9NoKoXonnXVcAtD60VyOtuO1ShxNKMQq0ki0makaWxp\ns4XE0DwAVDWGzcsX03nwSLLTLrPuq/m4HA4WvDqF9JSLhEVGc/vjU2jTYwC3P/ocL40bhShJzJs5\nGYPRyHtPPwRAtXqNWLngA+bOnMyTsz7j/IkjqIpMfkEed0y/j0cfH83SOW+wb+P3uJ1OSooKqVO3\nIcFhFgxGQ6lKlgQWLf6QgWMfo8eIewCoXr8JRXm57F75JbePupM7Fyxg27bNfPTJR2RnZ9GtSxfm\nv/sDFquJS8n5fLP8BJ9/cYyTJ3MACA42MXFCIx4dXxeLxQCqu/ReKR+E/J/DDRG3IAgS8D7QFUgF\n9guCsFLTtBO//cly/KX4LRXuhSerUtM0Jk97h807D1ArzMjHB9OxmSQmtKjAKz9eoVV8gK/eR6UQ\nM8PrR7LpXB5NPHZGy4rBiNEJDB7YmejIUHp3aMq+n04y/IGZTG4VTdVwC5fynbwyby2zpo9FsNr4\n9Ocs+lQPIc+hMO/nbFRVo5JSzLDO8Ry+Usz8nzL55ng2oqCnyN/ZKIpPD2fiVFRsfi3TilwqoRYJ\nUQCTVPYhFWSSsMsqLeODSC10YTOKRFgN/JRWTD1P6GBsYBFGsRC3GsSQ/8yiURu9iUNirbp8PO0J\nXlu6kR8+n8u3c2dxfP+PmMwWdq9byZWL56jeoCmFeTkYTCbQNJ77+GufbbF91TJeefB27MVFmG2B\ndB12N4u/nsuLL77FE0+MY+I786nXvA35OVm8/9Q4Pl/8EePGTSjTyPfixXO0HzWmzN9Us0lzgnAx\nfvx4JFFg4IABDBo0gKNHL7Lyu4M8M3krhw7nceJEtu8zYaESfXqH89L07sREWkr96n84qQbKSftG\ncKOKuwWQpGnaBQBBEL4CBgDlxP1vwG81Iva8t23nfr5evprZvSoRaNKJ/J09V3hiYzKxURHcElv2\nFrEZRYrd+o+3wCnz3dkipk4bx4hBPXwE8MmSOfSrHkTVcL0JQkKImaE1g/n46+1sWDGXZ158n+c3\n/UhIkI3E2nWonXmePjXDcCsqTkWjQkQIGYUOHm8WThOPQt5+sYAP96fzQPMYzJLI+rN55NjdlLj1\nbMo1Z3JpVykYoyTgUlS+P5NL92oh7EkposSl0CExmF2XCjmb68Apq9SNtrE3pRA4AHRi9nM7GHhf\nIxq0qkjDVp0oKsjjyYHtiDbKdE60sWftcvasWU7rPsN4Zck6tq9cyuULSfS5YyzrvvrUR9oATdp3\n4bPXnqde87ZMmrWA3Mw0nhvZi0YNGtBp4AjqNW8DQEh4JCMfe465z0/gqScn+cqqCoJA0yZNOLRt\nI1XrNsLllMnPtrNz1R4a1mjCnNkHOHc2l9Nncjh48BJ2e9nkuqBAI02aWDh0YCGVgq5wYKtMu/Yv\nsHL5IurU0rP4/O0QVVVZsPgbPv/iawBuHzmE0bcP9hXIKifrfx9uKOVdEITbgB6apo3xLN8BtNQ0\n7WG/bcpT3v8F0Lg2iT/+zEvkH9jEbXUjfOsu5jl5/XABTz0+jo/efZ/n20ZjkkScssqzW1K5VOCk\nenQIyTnF3H/3MF6eNgkEiZxcF2kZDh58dCYRhdkkhoZS4jJSIhu5mKdx3hFA186dcTgVHA4Vt1vh\n5yOnEe3FBJuNXCpUUA0WgsIikF1u8rMzibTqHW4yS2Q0TUXTVEBFEjUsBgG7ohBfvQYpZ44i4CbU\nrFHgchBmUQk2yZwrKAacBIWI2IuuoKkZmEUZDQgwiphMVjKdI3GUlDYHFgTQKCLYZKdSiIbV6MYo\nujl4OReX6iY8MgyHs4TmnXsgCCr7N3/PwPseoiAng91rlpOblYGqKlisVoaMe5LMKykc2ryGurXr\nklWiUL/VrchuFdmtkpeVzb71a7jttpHY7TKFRS6Ki1xkZBRy5swlBDEARf7t4K8Ao5MaETnUjMjk\nSPYZ+g2/lbkLPmNis3BfYtK6s/nszLeyf+cPv6qv/dhT09i0Zi2Dq+sPyW+SiujSswdvv/Lcn7/R\nroH/z2T9V6W83yhxDwF6/h5xT5061feZjh070rFjxz/0/eXEreN6pPtf4Srfe9rLszixfgX3NCwl\n7qMZJSxOFti/4wdGPzCRTZu3Uyc6kOPpRXTq1IOBA8awa+8lCvJNXE6TuZhcSOrlYl8rsH83VGzG\ndGR+IS4hk5TkC5jMFuKrDcRgvoWUpEIKchXgmr+XfwSCoBIcJFC1SjiV4gOplBBAlcRANm1ZgfnS\nZu5qZPap9VNZdj44WkyoUWN62yjfd6iaxv3fX2LP1m9JTIjzqej0jGzqtuzJh57/uACKXAoPrEnm\n+N61xERH/Op4fMf1/5iQ/yj+DHFv3bqVrVu3+pZfeOGFv6xWSSqQ4LecAKRcvdG0adNucDf//3DT\nyPpaUSR+FsodI2+j7dzPaRRloXEFGxnFbhYeK2D8448imQN5+813mb/oEGs3JGO1w7KVdpat3HfN\nXYWEmIFiiksyMRrcuJ05RNgUCt1OKiXGcvfoewgMsmCxGDCZJEwmvWflzBeeIfViEtWat2PgmEf4\n/K3p2IKC6TXqXkRRZM2X88lJu8K9z7yEqmjkZmXxwTOPMOndhciyyo7vV3BgyyZiK9UgNyOTkmIH\nYMJkDqF6g1YEhsSRn+Mg60oRGSkFlLhjgVjCKiagKC8SVHwFLe1bXNIaaoSI9KxvZd7hYobUTaBC\nQDAlshGH28DapGLO5cpYjWbciohLM9K6921cOHmCy+fPEihptE4IRlUhvVgmzyFzIc+B1aDbN5qm\nIUmgCRoR0dHk52URGmTm4THDsFpE3nr/I8xKAdWDZVJKHNgNImu/+YDEhPAysfVeXDhrJzOtCEEo\nLWYgqxoGg4TD7SyzraJquBUFi0lA0Ny+9ecvXiQhLKBMpE+gSSIhLIBzFy9QITqUcvw9uFrUvvDC\nC9fd9kaJ+wBQQxCEysBlYDgw8ga/8/8t/i6y9k/SqVatKgs/nc2Ex5/mzX0XkCSJcWPHEBzeid6D\nN7B1eyqKUvpfmc1mpGHDaOrXj6JGzXCqVQ2lUqUQKsQGcejQHsY/8hBvrlqNLTCIlLOnWPzOTOoH\nWPh03tv6mJimoWm6AtQ0OHRwH/FVLOQVK6Sc20pg8P1cPr+D99bs9RV5qtV4Ko/0bY3ZkkfFqjUo\nzDOiKGepVj+UlHOnOHlwIe+uXkNIeCSapjH3xafYu+F7qtZrSNehkTTr2Ml3/JuWf822lT+Rdqku\nh3dcIiyiKu1iC1h9Oo+3e8YQFWBEUTWWHEtnxYljPNm2InWjzWy/WMC53DTubBRFv1rhAGw+n8cn\nazdTv2V7rpzfSY0IM6MbxzF1yyVUoEVFG6JQRHqRm5e7JlAzwsKxTDuv7kyhV1QEecEKxsq1mHx/\nGC/NWkz1gJ94tHmUr8/mewfTWbRoLtOeKE2X1/wfukM60fvrFbSJD6RSiJkil8JXJwsYO/p2Zs9b\nwpqkPLpXDUHVND4/mkuLJvWoEBmiR5R47oHa1SuRkltCdonbVzc9u8TNpdxialevcmP3YTn+MtwQ\ncWuaJguC8BCwDj0ccF55RMmfxz9B2P7L3bt24vgve0lJzeTLpVd4f84x0jO2AGAwiHTulED3HtVo\n1y6BevWjEAW9joiiaqiqTsCKorF+/Tpa9xrkS+2Or1aLeya/yIv3DcHhUFAUvTuOqmoossqOHZt4\nftrjDLx/Ag17DOTDaROZNXk8AcGhPtIGECWJkPAoCvNyUFWVZXPewBYYzLhuTQgOj6RdnyGEhEfq\nf5Ig0H/0eHavW0nLrn1ZvfAj6rdsj8Vqo7gwnzWL5zBk7GM47LX4ZPpO8nMTWJG3idpRNh764RwJ\nwWbSitzUjDDTpEIAz2xKpsStUiHQSJBZokG0jVd2pnI2x0FsoBGrpFEh/TAmFI5llPD1sSyCzBJP\nt6+IKAiMahDJa7su83NaMbUirdSPttGvVjiZJW6axgayPT0DSjLYtnMvbeKsPmUtCALt4qxs2bkP\nHh6Et0eogN7NSEPkljoJvDrlQSZNn0OwxUBOsZPbB3fn0fsH06drK+54YApLvr+IrGi0alqXRR++\n6BuU9D6Kw0ICmTj+TqZ++hV9quh++PfnS5g4/m7CQwNLa9OU41+FG47j1jRtDbDmJhzL/zv804SN\nIIEgoiKyYuUFJk3+kdTLxQDUrxfJmDGNGTykDqFhFlRFJ1xVBVlV0TSQZVVfp4EiqwQEhJB3tmwn\nl5yMNIKCQsjLKkGRVT3tPPkCOdnZvPv+K9z//Os0ad+Fn3ZtwWy1UrtpC7as+JKTh/ZSu2lLAM4d\n/4WUc6f4/K0Z5GalYy8qpHLt+gSGhHJo+yYKcso26y0u0OOzY+ITqVilBhP6tKZSjdqcOXIYURRZ\n/O5LmCzhwBAEMZG4iAhe6BRFgVPhVFYJs/akcTzbyZl8lXF3D2JA9xZ0GTkZq0Hg+S2XuK1uBHc3\niuJUtp0P96cjiQIJISa6VQtl/uEMHmoR60sgEgSBblVDWHEyh2Ge4ws1G/RO88mF9O1ZE/LOUynK\nyqWUXFr6/R3JBS4SY2OgON1H3ACaZPbN39O/OSN6t+DMhSvEVYgkMiIccFKnchQH133CpStZmIwG\noqM9frcnflsQVN+98Oxj99K0UR0+X7IKgA8e7U+vLm1LD+RXYaXlRP5Pozxz8h/CP0rafvP5hQrj\nJ2xl6Tc64TZpHM20abfStVsVVA1URUORtTLqWpZVMjMzmT5jKhvWr8EWYGPYsDvp33conwztTq2m\nLWnVrR9Xks+x8JUp9OwygPfee5XT506QmnqBgoI8IqJjST53ijrNWgOw9bslDBrzKB0HDKdBy/a8\nNfF+6rdsD8DPu7YgaAIGGUoK8hk6/kl2rVnBueO/YDSb+XHtdzTv3IvG7TqTm5nG/Feeo2KVGrzx\n2L00atORBq1uZf+WNdw5cRo5GVdIOnKYYeMn8fbEk+RmlmAQ9ZK2wWaJ5hWDaJdYzNbkEs7+uJCI\n0EA0dwlfvDmeOyd+QPdqIfSvrVslsUEmHLLKZ4czkDVoFhvIkbQSLhc6gdKCUpcLXYRa9HPulFVW\nnc5BQSChQjDje1eH4gwmDKpHxwnHCTXrZXCPpJfw3Zl8NkwYDI48nai95C25SudFAxZBokG1KBAk\nNHdJqToXDSRUCNOXPfbI9UIRenVuTa/OrcveK1opuZeBXyPqcvwzKC8y9Q/gHydtTzGqpHNFtOv8\nLUu/OUtgoJFZ73Rm58676Nqtqo+0VVUn7R3bd9Cvf1/q1K3O0OGDGDCgFyVGKy8tWcejb89n887t\nLPjsY95+81O2fDmfu1tX5+WxI2jbrAPLViwi3VVImyEjqHlLK0xWK/c9/xpmq41fdusdxZ32EmyB\net2TRm078fryLVgDAkk5e4Y3vtnKyEefISdPV9ZL3nsFt8OBwWhk8vuLmPTuAha+MY1729biicGd\nqNe8LS8s+JaHX36fo/t28suebTwz+0u63nYH/e4ex4mDe6hatxFRcXoSUbSxNJtS0zTdBgk2sXPf\nzzoRuksY0rEO7ZtU9cWme1El1EJkgJEgk8ikDRcJt0ksP57DruQCil0Ke1MKWXwkixOZdt7ZfZkx\nK8/i1ODtBxqz8cUOGOVc5OJs6kTDyhe6cNwBz25L4Ygdvp3Rh8aJVnDkgrMQXIWlU+/Lc3y+bkXu\nktKORbITVJc+GOnJkPxV4Sj/9Ha/DMpfJeVcK5a7vCnwP4by1mV/M/4y0r4GYYOHtK+yRjRB4uix\nHHoP+J6MTDv160Xy5ZcDqV49DFUTUFTdi5Y9xH3o4EGGj7yNO56YRu2mLfll93Y+e+15Zixa5ev0\nkpeVwaTBHflmyY+IgpGSYjtoIp8ufAtnoMRdT+oj5PbiIqbeM4CMlGQkT/W9W/sNw+10cPHUMabM\nXYrJbMHlsPPSg7fTof8wOg0cwemfD/LmY/fhKCni2Y++YvuqZcQkVKbf3Q/of6emsWn55xzYuo7J\n73/uWze6bS1mfvEDFavozQ2y0y7z2ID2VK/XiLPHa+B21cRmWMHDrTKJtBlZeyaPC3kOggKtTHv6\nPvp1qA/OQr5dv4c7nl9CjTAz0zsl+LzoTw+lI2tQN8rKtyeySQy1cCHXSbZDTw4KMRsY1ywGi1Ek\ntcCFgMa8wxmserIujSsHI3gsD0GUkAwmBEnvKiQaTAiiQV/nWcZrkUj+82Z92TvvU+XmUpUueTr5\nGMxo/PpeKHPPXL0MZQZEr1frplx9Xxt/VRx3ueL+G/GXKu1r7a/MD650/kxSAb36ryYj006XzpXY\nvGkk1aqH+0i71M/WkGWNOR/Nof99j9Cqe3/2b17H+iULsAYEMuf5x3CU6J54SEQUgiCSl5eP0+5G\ndmk47C6SLpygUduOvn0veHUKlWvX58NNP/HJ1qOMfupFdqz6mqwrKZQUFzK+R3NeGX8HD/VqQUzF\nSnToNxSAPetX4XLaia9Wi5qNmmEvLiQ4LLz0zxMEYhIq4ygu9q3LzUxDAObNfBpVVSnMy+Xj6U9g\nsVqoX6MKgwfpZVFDwhP4/JcsPtiXRrBZYkDtcFIL3XRtWZPTScm89Mlq7pr6NVPax+GQVZ7emMyq\nUzm8sSuVPSlFDKkTjqpBiMXAwy1juaNRFAJwe6sQGsfaaBoXSJ1IK+fznHz2cxa1ImzcPusUw978\nhezMDNYfuMTiree5eDkTV3E+ruJ83MX5yI5C3J6X7ChCdRaiOQvBbQe5pKzadtv1qVy2Tyiaos9r\nSqkCRy2jwPWbxa9CoP8y16hhUq6+/3GUe9x/E/5Oe+R6g5AAmTlu+g/5gcwsB127VGLp0iGYLXoI\nnOaxR2RFQ9N00lYUlZTUFLp1G8iyOW9wdO9O7pz4PNbAYL6dO4s3H7+fZ+Ys5tD2DYSFRWIUbBTm\nl1BS7ESWFSJC4jh5aC+N2nbC5bCzd+P3TJm7FMlgQBRF2vUZzNaVS3C7nFgDgshMuUTGySs4HQ5y\nMtLY9M0XHN23kyN7dhAdn4i9uAiAJu26sH7JAlp374fJYkWRZVYtmIOqqmRdSaUoP5eFr0+l0+BR\nbFjyGaPb6P8ZVK5dj6r1m7L6+x8wGV1AY4YOHcXunWdJvpjM4WyZ/TkqK+ZM4v3PfuDVeWtICDJS\nJ8JMvegAZnaxMv9wBkuPZdO3ZhgPNK+AomosP57N4DrhuD21wxvFBLBsfz4g0Cw2EFXTOJJezEf9\nqmIzSsiqxis7L9Fy+hmiA0xE2YxM/iqFJ3uGc3+nKCSjrrQlk82nxiWzFUGUMJhcuiI3mHS/26vA\nVVnvEaoq+kuU9HWS2S86xIymKggGs16vRhP1gcqr/W9BKuNxC5pSVghoarn3/Q+inLj/Bvzdnvb1\nIKsCd923ifMXCmjaJJqvvhyI2WJE09BfHj9b07Qy/nbLFq3ZuXoZB7dv4rWlGwiPjgXgkVfnMKFv\na9589F7O/HyAiQ+9itPhpqTYicPhQnYrtGzcmw8XTUYQDWReuYSmqrz31IM4SooZ/vBkOg0cgcFg\nJCQikpoNm7Fq/hyClWhKDPlcvnCWbz5+h/hqtZj1/W6stkDGdmrA2i8/peuQO/hp12Ym9GtLrSbN\nSfrlEMWFBYSER/HcHX2wBATQedAoOg8axcaliwgKi6BJ+y7c+fgUTBYri96czp71ejGm4ycusGvD\nUk6dOok9P5PG1cNJTk7hlblreKtbAscy7Wy7kA/oxazG3hKDxSDy9bFsDqQVcjHXBRpsOZ/P/J8y\nqR9l5aGWsXxyUEAylvDlsTQyCjXubBSFzahfL4MoMKBWBO/tTePVrnq8dEaxm0nrztOhuki12CAE\nUdJJVpTQTDbP5dY/L6kKoqogGrwK+aopgOZPtAad4BUniAY0VfbcMgb9/tRUvb55GcIue9/+IfL2\nHkM5ef+lKCfuvxj/+ECkZ14TJN545yc2b0klKtLKkiUDCQg064OQHqLWNI9FouiErah6RMno0Q8w\neFAPBAEfaYPeGSahWi1CJRtvzvwKszGIwgJdbTsdblwuN0YtiJE9nmHN9/OQzS7eXrmD8OhYUs6e\n4pXxdyBKEklHDvHWdzsJDgsnokIc70z6D50H305sYhU2Ll2E2WzBaDIza/KDiJKBpXPeYMn7r6Kq\nCqJgwJ3qQlKN3DbuCb6d+y5Pvb+I6vWboCoKX7w9g2adetC+zxA+mfEkB7euY9K7C+jQbyg/rnkb\ngG07D1Jc3JXa1SshukIoybnE1Flf0zDaSoTNSPM4ibkH09l9qZBW8YG4FI0it0L3ulbub22kYoiV\nbu/n07xiIPc1DSDBU142JsDEobQiFg0zM3OzixJ3WTuhxK0SbpXId8iEWAxEBxhpGR/EuiNF3Bek\nIBkMqLJLV9luV9l5sxXRYMJgsul3mLdqoiD5GjmXIW7vOskEXqdDkNA8t4rX+/YaqtcclfIo7zL3\nWTl5/yMoJ+7/BfxZpe2/7CHtn4/kMOOlAwDMm9ub+IpBaAi+DEZN0+OxvYk1XttE1TSCg0NZunQ9\nPXu15tRP+6nVuDkABbk5JB05zFszF4Mq8tGCFzlweAuCINKwbns6Nh8JLgmbFAGiwKhHn/ERf3y1\nWvQcdR8LXnmO/0x70+dXr1wwm/ufe5V2fQYD0GnQSCaP6OHxqRXmbDiIZDCyZ/1K5s18mm4NxhIX\nX4UF3z9Nr5H3El2xEjPGDCUusRrFBfkEBIdQo+Et7NmwCqPJzPCHnuTDqY8x8P4JBIYEkp8DFmsw\nR4+fIiTQxD0PPMXhExcwSgIGQWBXso22lUJ45tZ43t59mQ/2pYGg0bqalVcGBmAWFBRZI8QiklLg\norenL6bdrbLxXD5GSUOWoV8tiec25tAwJoAaEVbSilzMO5RBjl1m3OpzVA4183DLWIpcMmZRw+VW\nERU3JlXRByY9EI0mFFHyqXHfeoMJQTD4QgRRnKB6BicFRR/NUmXPfeP5nIhO4qIBAT02v8z94yVl\nX4Po65F0OXn/3Sgn7r8I/5bkGtDjrh94aJs+/U8junWvikbpQKRO1jp5K34Wiarqy4qiYTbZr0Og\n5wAAIABJREFUePqpl5g5cQwd+g/DGhjE1hVf0b3zEIICIpj++nji6tRi1sy9qIrMF2/NZOXG2XSt\nPwbZpSC73ZgttjJ/htlqQxBE6npiuQGSjhzmqfcW+ZYNRhNN2nVm26plTH5/IQajTmKtewwgLfkC\nx1YdwO4qxOVysHfj9zTv3AvZLVNSXETzrr3Zu2E1oVExKG439uLNuJxOCnJzWPj6VNr3nUbq+Uwc\nJU6Cg4Po0u9OBlS1MnloTTJL3Lyz+wrv700nvcjN6WwHiqpRs6KZD0ZGEhco43I4sDtUFEWjfgWR\nvReLuJDnJDHUzIHUImICTYSYZewOhcQgjXsbC7y8IxlVE7DLGpVDzczqVRmDJLLqVA7PbU5GVmRm\n9g7E6VQRRQFV1TDIDoyqgqYqiLKJs2klrDnqQBAFhrRNoFq8bp1I4ItS8d0Doucn7q++RYNn0FIB\nyawPWnrivr3kXcY2uQZ5l9sm/yzKo0r+zfg90r7u50q30QSJj+ae4PBPmSQkBDFj+q1lNvWqbW8N\nkdOnTzHpyccYNnwgr7z6ApmZGWie8MD2bbsxe9ZXBDo1nClXeGTsVIb2H8vFS2dJz0xh9NMzCQ4L\nJzQymjFTXyUl/TR5+Zm47TKx5tp8+8l7uF168aOigjx+WPAJQWo0L943nANb13F452bMVhvnjv9c\n5hhPHd6P016Cy1m2cFJJcRGpBcc5XbCbniNHs2LuLF4cO4wm7TtjttjYuHQR0z5dweAxExj64BM8\nP28Zi9+ZSUlRAd2G3UVIuK6Oo6Ki2XfwFyoHCvSrFY7ZIBIfbOaRVrGoaCw9nkPdKBv3NY1BcAk8\nsSQD2eVE9jzUZFllZEMDblWhdqSVmAAjg+pEcLnQQZ8aIi63hqxA+0oSn/Q1MKW9iCRozOhcCYtR\nwiAKDKwdjkEUGNvShFkEt1v1PTRlRUORZVTZxbJ9OfR49QwHj+ax/+c82j/9I8t3JaPITlTZpatw\ntTSSBMVJXkER2TkFpYOWqlx2XtPnvb73H404uWa897VQHnFy01GuuP8C3NQyrL+F66ltz7wmSGRm\nO5n+kt6d/K03OhIYZEFD8Fkh/hbJsaNHGTykP11H3EPHUV04vG0Dw4f15qsv12A2BaIoKvEVq3DP\nnRNwuxQcJS5Kih3k5GQRGhmDKJX+3SazhaCQMArycwk1Wakc0JIDF5YyvlsLKlWvw7mTPxMt1SCG\n2mSmJPHZ89PRUDEXB/Pek+O555kZRFesxMaln5N29iKCJvL5W9N56r2FBIWGk3z6BBu++ox6Ldry\nxLufIggCIyc8y8vjRvHTzi2YLVbiEquScu40X733Moqi0LJrHwKCggkNCWH36mU47PuBzjRp1IDM\n7CNEWctet0ibAZeiMbVjPI0r6Mk6LSoGMnH9eXYkuWgWLyHLOsEmhgpM7Wzi4335nM1VSAgWGdtU\npFaEiEuBn9JU1p/TKHZB9XANsyRiFEtDdAVBIMImEmHRcMsqIKJqnqkKoFLicjDl2zxmdEokMVT3\n0TtXCWHCxz/Tq0kUAaIBzau8gax8O/e+vI6tP11CEKBJzYp89tJoEuM96e9e5a3vBlQQRE+T6T+o\nvOGqQcty5f23oJy4bzL+sQiSa1gkAC++dID8fBfduibSt68eEuetzgf4SFtTNd5+50363PMgve/Q\nW2Y1atORD6c8yvLlixk5fIwedSKrKLLqKRalIssKleJrkp5ygQsnj1K5dn0ATh7eR1F+PqEJsShO\nBU2BBoF9yHekU3A2jQaG3hg0C4rgJowEwhwJKIpeRyM/9zILp81AxonFFYrVEIpTS+Xy+SQm9GuL\n0WTGaS/BaDbRdegdvmQYURTpPvxuclPTaNG4K2u2LGLBq1Pod/c4jCYTKz55l7ycTD5f9A1uVwmp\nKRYmTdqHJEl07diGV17/gJENIgk26+d5XVIeJlGgYUypxSOJAvWjbZzKcNE0TtIHd1W9yFaDGIF3\nehmQZX29rIKswPZkhSXH4fYG0YRZDXx/Ohu3amfrhXw6VdHLpp7MsnMp30WdKBOq6rk+MsiCzqqi\nCEeuyMQFGX2kDVA93EKY1cDR8zm0qGfVOVhVEDSZUVNXEehyML9/VURB4LtTufQZ/z5HvpmC4HvY\nS6VetyShqTKC6EcLV0eb+JP39VBO3n85yon7fwXXueG131ifdLaAufOPI4oCr7ykWyRlByQpMzB5\n4uQJRo8o2+ewTvM2nNr/oy8hx1vdz/dSNCTRyJA+43lxzHBu6dAdRZY5vHMTHWrdCZrgUfZ695oA\nQygGoxmXqwQNFdUzwKZpiqe7DQRTgeDiCgBkWE6R2LIW/3lhFZaAQHav+45Ppj9JWFQsibVqk5F6\nqczxpqdcRLIa2H1kHaqq8OyHXxIVp5eMb9qhGw/3asldd91GjfqNOXdcBnoCGk3q16BGjcqMXZlE\nXJAJoySQVSITbJE4mlFCwxhdcSuqxvHMEgY3M6OqGr9cdvPCBhfpRRpuRaN6hMiEFhIVgwTPQ1Hj\n6+MaT7VLoGaEFYCGMTYe/P4s8w+ns/5sLmZJJCnHwaS2EmYRz9gCIIGqCZ5zLRBuE0gvlnErGkZJ\nf1i5FJWsYjdRQXoEimgATVW4lJ7PoTOZfNK3qm/bIXXC2L4hhf1Hz9GiUU2P0vbsSFN86luPNPH4\n3Z7761eeNvz5OO9y3DSUE/dNxN+WGfk7A5Le9dNfOoiiaNx9Vz3q1ovW3/NT2P7etqZp1K1bj6N7\nd1C5Vj3fro7t3UHTGvV8attL3pqqIbsVVFVf16BOGyJDEjl2cg9uu8ywNlMwagHY80t9aX1bFc3j\nefqT9vWQLSfzwpTl2IL0OiZtew1i8zeLqVq3Ic079+adSWOJjq9EveZtOLJnB6sXfsikdxdgMJp4\na+L9PtIGCAwOpWLVGvS+/X7a9BzI9lUn+XDqLs6dO8unn5/j/PlL9K8VjiTqPSz71Azj4OUiXt91\nmVENIom0GVl1OofIII3WVQycueJmwndOKgabmdUrjgibgXVJeTy3OZPZvQ0YJQGnArkOlRp+NU68\nqj0uoIi4YAVZVZjU2kCIVSd7WdH0ju+Cfp1kQJI0KoVKNIiV+GD/ZUbWj0LV4IsjmbSvFUJsiIim\nKqiyC0U0UFjkwmIUMfi7Z4JAkFmiqNjhSdBB97h9947sU99lyNv7efh1ko7/4rXI/WqUq+6bgnLi\n/rfhv02yuerHcPJ0PkuXn8FoFHnm6ZaezLiyZQ9Uz69Q88xMeORxhgzpi6O4iKr1GnNo23ouHPuZ\nGZNe9Fkr3rozqvrrgajgoAiaN+pJSY4de74Tt10u874oisiKQr6cBoqAVQxGUdwIgoSmKQi/sn90\npW6xWsusDggKQVM1aja6hTFTXmPp7Nd58/QJouLiGffC21Sr15iSokKK8vLIzUwnLCoG0OukpF08\nR81Gejijquj7S05NZvK0Zcy4NdYXg925SgjjVp+jcQUbj7eOZPP5Ai4X5pPndLNzTCgiGl//5EZD\n4NFWccQG6dEu/WqFsz+1iD2pTtpXkjCKEGYROeKn2t2KxqErJURWEbglVj8Gg6hbLqLfKdDj6gUk\nsdTeemuwjXe2Opi04TwaAoNuCWHGiCpoqoKmeB6EqkzNuAACrEZ2XSqkXSX9oXcso4QrhS7aNIgH\nTdYVt6CUet1X+d1lwgSvRbb/bZhgOW4Y5Wf1JuFvG5D07u83BiQRRF578zCaBvfcVY9KlcJ8m6ia\nRzH7WSWgT6vXqM0336zF5ijmx+WLqBETy4JPvyMgQP/hewleVcvoLr/de2pQSyKiJCJKgu8lSQbS\n7KfYmfspOZFJnDPu5AzbwCBgNJoxGMwYjWZE0YAoGjAazRgNFsIsFVn92Ue+faSeO8Ox/btIOvYz\nLqeDJu278MycxQSFhdOm5wAatdW73dgCg2jcrhMzxgxl97qV7N+ylun3DaFi1RpExlYEwOnw1KbG\nTbjN5CNtgKgAI3FBJsKtBhJCzHSsHExmsZuZQ6Kxmg2IAqQVqDhklUhbWf0THWikyAWiAEaDQLgV\nXt91mRUnstl2IZ+pW5KJtBlIytXPoyh4Xtf5NWp+59soQLFTAwTig018cyCfz7aloakKiuxCU/Sw\nQTSVRZPa8dnRbKZuT+XFXVd4fU8aX0wfgsUo6opb80SUyM7SSBNN8alwTZWvGWniqy7oXa9vrJ/L\nPxJp4n1IlOO/Rrni/jfhJg1IXkop4utlSUiSwOOPNQPwRZL4+9qgk4Lqt1y5clWen/oyqgpul4LL\nKaPI1wnz8kD0i47wJ2tBEpFMEqqi4VAKOV60kefnL6Vy7fqoisK8mc9wauNhEqXmKMikCr+QpZxH\n1TTCxIok0IRK2i2sX7SQXT98S3BkBOdPHKFZxx5omsqEvm2IiU/k4unjWAOC+OGLuVRveAuN23bi\nwsmjnDi4h9CIKL7+4DWKC/Lp3LEHO37cQsq508RXrUledgEA9etV4Zef7BS7FAI8vRddikq2Q2Z7\ncgFbLhQQbJF4bmhl+jc14S7JRxRlWlc1cjhVY21SLgNq60118x0yey4VMqiriPe0hJgFmsWFkVro\n4lS2g05VQrAaRDacTfeR9vXOp36ZS5cX7HNyPlPk437VsRhEMordPLf2Is2qBtOqjlVX3qqCqirU\nqhjIS/c2Z++pHBpWi+LOXo0ICgn11DSRShW3NxpI8/jd3nkVT9cdtbSq4G+hXGH/bSgn7puAv0xt\n/1ap1ut+RuSjuceRZZXbhtSkcuUQn7ftD3+y9p/6b6ddR1mLot7fWxQFRFFEFPUGtQaDpw6HSUIy\nSZgAxaUrq/S0k9zSoZsv6kSUJEY8Mpnxq5tRPag954Qfqdm+MX2a3MuyD99Exs6xwrVEG2rgdNpx\nZBZSo1FTOg8ayY9rv8NhL6Fxu87sXrMKBJURj0wmJCyCz9+ewZuP3YstMJhuQ+/kUtIpMi+cY/4X\nm4hPjOP7H77mpTHDCA4L40pKbaAZvbq2onblHry+fTvDawcjiQLLTubRs1V1vpraC7kwC1dxDoWF\nRYjuPD3VHBjaVGX5YSdfHsni4OViogKM7L5USJ9aItUiJE9ZXGiTAKvPFDCjcyI2o4RDVpm65SKd\nK+sWiVdtGyQBQRR8y4Ig/EqFrz7m5t5GcVg85nV0gJHuVcNYtjeLlrUifFElxy7m0GfaTqqEmgk1\nSyzbega7S2Hi7e08ae8ej1uT9eQcxa9AlM8q4eb43eWEftNRTtz/Fvw3pVrhV8k2LpfCZwv1tp8P\njmtc5v1Sm0TzW1d2+tuHKCCopaF3PjtE9RK4gN1RwKHjWynIz6dSdD0irJUQJQGDyYAil02gURUZ\nAQFFkil0ZdJtxF289sjdTH7/c6rWbUheVgYvP3g7xiwT42fM9tkgbXsNYuLgjmRfSaViRA3CqkVz\na9/bAGjYpiOXLyQxbfQghj44iSvJ53njwTuIiIxEEAWGD7+DwYNvIy0tmVnvnmX58iSioqxM/M8U\n3vlgHgu//A5FdjOidxueGtEEQXAxb30S0xcdIr9EpkKokWkDIqgRofHDz076NTAiCrDjrBNRcvJu\nXxPVI0RkRQNUVBG6VBU5la3wn1VnqRlh5ky2k+ZxAt2riniedaWk7Xl5SdtL5N4m74Lw62ulov2q\nC/zDcw4xqEYovTwp+EPrhPP4wr0M7lSfKhUj9IFI0BW3oJTWOvH3uf3owRsm+Lsi5c+QdPlA5X+N\ncuK+QdwUtf3fZEhey9sG1q5PJjPLTr26EbRqFe85RsE3uOiPq1f5bMvrkLgoCmiiTjBekvGpbKNE\nevYF5i2eRqO2nYipHs+m1fOpEt2Y1rUGUz3hFpb/ONPXS9LldLDojRkkhDRGMhkIMoazdPYbdL3t\nTqrWbQhAaGQ0d06cyttPjPG1MQNdrTe9tRt71q4kODKc0MjI0lMhCETExGEvKmTBq1Ow2gKpXbsB\nBpOE0SQhigIBATbq1atPTs5JACrE2DAYDEx66G6eGtsfrSRLr21dnM6KzSd4+YufeLpNHJVDzRxJ\nL+GBBZdAEGiTEIRT1vgpvYi3BthoWcmAy63idqtIkoAi6aF8Rk3ksbYaw/NVLuS5qRRioGKwZzxA\nFHzn1iAJPqXtndfVt4fQBYEBDYwsOZbJ5LB4bEaJK4Uu1p/NY1HPar5Kgna7iwNn83jitpq+8xJp\nM9IiPpAN+88yNi60jBVSZqASPKTtKQnrU9/+dornXOMnJPxJ+Fpp8eWx3TcV5cT9v4A/0XVk6TK9\nd+SokbV1FeZvsWje6ISy5Hw1UQuCvs6fVEQ/ReclcF1ll1olK9fP5faJU7jV0/yg7z0PMHFAR+ok\ntiYsIpYOte/irUfHEhAUTGF+DlGBVWkaNRhBkzh4KY+i47k08CNoAIstAMlg5PiBH2nQSo9FV1WV\nI7u3IagSbVr04/PvZjDoP48REaMXsPp+0cdUq98Ya2Aga76Yx9j7HkGSRLynQxAEtm/fyq5dR4Bg\nxo4bzYxnR3DviF5lT4Ro4INlBxlVL5wqYXo4n6qBogm807My8cH6YOZPacVMXp3KlvFBmIyeUE1V\nQxZLHQhVFagULlApXPIpZq91rRMzPtVskAQkg660DQb9uHX1Dfe0snAx187YVWepEGQkvcjNM/1j\nuaVKgO+wjQYRi1EkzyETaTP61mfbFSKCzKXFpkR0y8RbhEqT8Hncqsf7VmXPVNGtEbG04BV4LBG4\nscSccvxplBP3/xB+L0bWLWus3XARgMGDStXWb3WO+722cqIgoKAhiAKSx1eVPGF0RpMBVdWLIbnd\nLi5cOE7bXoN8nw0ICuGWjt1Iy0qiQkxlatdqRrWqDcnMTsGIlQBTKLJLRVVUWhuGs/H4R2xc/jm3\n9h9KcFgEstvN8o/fJiY+kTnPP8bA+x4hKi6etV9+Skl+IWNuf5nwsAi63TqCycO6Ua95WzJSL+Kw\nl/D07MVExcUTHh3L/A9eo36DRnTt3h1JFDh/7gz33jUKxf0oAI80UnjhxbcID7EyqEsTXV0a9JZg\neYUOQiNKY7AX/pxB5VCzj7QBGlcIQFUF0oo1EkMlXW0rGkZP+zc9aYlr/tfjf579rRGvypY8yluS\nvCpc4LXBITzZSyI1X6NuQjDBgfrxeQtMSaLAPZ0rMftAOg/cEkOIWWJNUh4Zdpm+ratc/2J7SRw8\nRO4N9ysl5D88UOnBH4rtLsefRjlx/y/iKpvEi4OHMiksdFOzRpg+KHkju/CQhyAKCJpQOu/xXyWD\niCKrPqvEYrEQGBRC2qULvv6OAFcunKNRpfaYA02IkoBRMRBvqYbsUtAUDaOioSoqNUKacCK7FjFV\n45k4qAM1GzYj+cwJ7MVFaGiYLVaWf/QWmqYSZAljwn3vYrPZsFhM9Oo2nHZtuvHpFy9TpW4jRk9+\nEYOnn2XD1h1Y8cks3nx7Jj169kAUBb5Y9CmtYmNZe1oi0lZM/RgjXRIsjH9iJuM0qJkYw9RHBtOl\ncSx9O9ZnzeZDVAnTa5fnOxVfTLX3vxC7W8Uuq5hMRoxGDcEz0Kgn0vhlmV67fSBwtfoWfOffIAll\n1uvXQSImxESFMAnR8zAtk6YOTB9VmxkGiYkbLlDiVOjQIIaNb/THbBDKxmwLfhEmkuc7VMWvqqAC\nGMpEnFyzBOzVKPe6/1KUE/c/jf+2AqAfvLHb+/anA9C2bcVfffcf6dcseP3MqyAK3mgH3SLxkrZk\nEFFV/VhVk0avLiOY/ewjjH5mJhExsWxYspDs1FTq92wFmojBJKEqKrJLQXEper1vRUNT9J12ajKS\nFTvepn6L9ogmCTRB75izdh8ZqcmIgkhEbEUm9G6NKCnYAiyYTAZsARaCQxNo26o7+0/v9ZE2wMlD\ne0msWUfvJi9oSKJAdlYGsqwXWqoSmseVQhcrTuRwR6MomsUFcjLLzogJ7/HtrAcYN7Qd877ZzV3f\nJCEKuprVNI25B9MZXj8Sl6Ix71A6RlGgaoVABMWBKMuoqk7gelSIoCtuVfvN6yBcZZ3o593f/9ZJ\n2/8leqZXw2Qy8uJdDXhp9C1oohGj0ai3Ovs9+JOof/szb0s08TqU8UfrmJTjpqCcuP/t+K309qtw\n4lQuAA0bRPnW+WdLXiu8z9NJ2m/Z67WW2iOKrNshXqtENWhlYo0lg+51Dxk4GpPZzOynHqKoqIB6\ndZozYezrhAQFI8sKsuwha09xKsCXQg8QXKEe4yq/yS8ntlOSm0/z+t05lXoQW2BQmTT86LgEnHI+\nwSGJmMxGLBYTkkGkV89BfLN6Ph9Ne5x2vYeQfOYE3336PoPHPkrelRRMRgOiJNC9V18mrf0OgBoR\nOaxNyqVr1VB6VtcjMNpVMlLsUnlzwUasZgN1wi280Tkes0FkbVIui37OZF9KIRvO5SMJembjE30r\nYAsORXbakTzlVY2eaaniLk1eulZeivfSih67xDfvIWzR0/HdOy+KkqcrvKEskftVaRQEAUn6HeXr\nHxro87jl0vhuP/xmEarroDw08ObjhohbEITXgb6ACzgLjNY0Lf9mHNj/Av7ubMlf4aofQEpKCQCJ\nicF/SvUIniQQRStdBl31aZ6BSEkSUVVNV9laabEpTdMQPORrxsTAvnfSt+coZLdO1N56JrKs4HQ5\n2bFrFceS9mMx2WjZpCfVqzQscywBQRa6xQxFFEXS0s+z5cclZF5OISpOj5BJT7lI5pVLVK9WG1uA\nBaPJgMliQJJEgixWPv3kW+4fO4hj+38ktnI1ut52B98vmM20qS/6SHDQoME89qgeUXK+IImkrGLu\naBhR5jgqhZjYeT6Ls6nZzO1b2dcrsm/NcH68XExkRAAX0woJDzQwcUAVejUM9nWkUTzdaUSDSS/8\n5EmK8b7vJe+rM1DLJDL5qWv9Ul9DaUt/TH3/JrxWyK/WXWeQ8je/q1x1/124UcW9HnhK0zRVEIRX\ngKeByTd+WP9PcBNsEn8UFOhx0qF+ZT//1OEIgo/E9dhgygxKegkb0LMpTZ5kHI8iV2QVgyp5Sr/q\nSlNX2SqKovLh+8+jWST6/OdBCnKyWPrhWwzqcS+tmncvcxyiKHL05F4+WTiTKnUaMPWeAfQYMRoN\n2PT1Qm4fNp6omEgkg4jRKOkJP5754NCKfPftNhZ/NY+du7ZSmJzEe+/O4dYOHTEYdMsh6WwBhUVW\nAgIkBtw/kLNnavPjtg10SCyNh96RUkyrJvU5n/oj5qsUa7DZwLiBDRnSKg7ZZUdT9SYHqlvvvu5V\n3Joqo7pdqFcR99VTf2iahlsBySjp1+Mq4i5L2IZfEXpZMjf8eSL32iNwXQLWVPlX0SXl+HtxQ8St\nadoGv8W9wJAbO5xy/JUQRAFNKWuL6CTtIWw0NBEEDdBKByhVz2clSUQTNJ/y9v9eQRZ8totX2aqq\nHiaoqirHTxwmI+cyry3fjGTQb7uE6rWZ9cQDdLy1L2KZFEGVL5a9w4Q3PqJe8zacPLyPrd9+xb5N\nP/DUY6/Stk0XJElEMugvg7GUuE0WA9bAEB5+eCKPPzZJT/6RBCSxdID1y8XHABg8sBqPPdQWe2Eu\n3fv9zNSd6TSOMHCmQCXdLTL3seEcOnaOjefz6VFNr5t9Ic/BsfQSujarimgSMKATsCIadCvDZUcz\nmHy1Q0SD2Ufi3kJQ6nWI+4dfCpm5KovkHDdxoUae7hPJoGb6fv0tkKtJW/J411e/X3p9fkOJlyvj\n/0ncTI/7XuDLm/h95fiTCPEUScrNdXjUkoiAhuYhZs0vflil7ICl1x4RPFl6pSLTq0JL45NBV9+C\nKCCpuoWiGPwaLBg1X30Tb+f4tKyL1G7SwkfaANXqN6awMBejRcBmtfmsgoysy8iKTL3mbQCo3aQF\ntZu0oCg3B6NZxBZkRpL0TE2DScJolBBEAaNJD8WTRD0O2uDdxiD4Bvgcdjfz5+ut0e69syZoCjar\nmS2rF7J85VoOHvqZu6onMKp/ewJMGp++/gg975nBrst2Ao0SR9KK+GhyP8IiokBxIgoG0GREj8qW\nDGYU2anPqwqq2+U5bzqRe+fLTmUOnCvmqaWZPNoilgYxNk5k2Zn67WViIwNpX0f33q9W34DPHrmW\nbXL1tnibCV9N1v6k/mcVejn+EfwucQuCsAGocI23ntE0bZVnm2cBl6Zpi6/1HdOmTfPNd+zYkY4d\nO/43x1qO30FiYiAAZ5LyrruNP4EL3qgFVfP526IAmgio+gCZHsGmIUk6eXuJW1D1cDhFUfV5T9SJ\n106RDKLPBweoWaMuS1d+hux2+6I+zvxykNCwCMLCQzw2jU7cUVGROB0lFORmExyme8+qqpJ28Rxx\ncRVBUNixawPZ2Rm0aNmO2NhY5s57j927dxIdHcPYMQ/QsWPnMmnkkqgXvpr9wQGys+20aBZN6xaR\neMNoTCYjIwf3ZNSAjgjefo2ynXq1qpC08W3W7zhMcXEx3ZpXJSJALK1jDaApCIIBQZPLEKWuuE0+\nm0Q0mkqr90EZ5b1gxyUG1gynoadFWt0oG8PqRDJvWw4dGuhlaf3J2rvsJWzf8lUWiY+0RaksKQvX\nWL56vlyN/63YunUrW7du/UPbCr+XgPG7XyAI9wBjgC6apjmu8b723+5DyT2L5i68oeP7K/G3pLv/\nXlSJXynXeQuOM/6R7QwcUI0vv+iHr7GCp6M7ePtM6krY29ld0/TWW4Cvw7t3Wz0aQt/GS8KK4jc4\n6TdVPGF9/usBX32Up559gFx7EV2H3UVeVgar58/moQefpluXfgC+uGhBFHj73ekcP3+SUY9NwWIL\nYNX82eQmn+e112Zz3/1DCY2uQEylqhzcth5JEGh0a1fa9x1K2qXzLH3/Vd58/S369u2H5AmnEyWB\n8+dyadlyAXa7zNpVfenUNlyPilAcCJpbJ2DFiaA4PCVM3bqf6y4BxYWvBKpc4mnI6ypttuudV1y+\nkqmaz+surdinnw/5V6p7yEt7aRRkoq2ndjbAgctFbLlSxA9TmnsuuV+0yDUUtSAaShWsuY5uAAAX\n+0lEQVS430tX2QYwmPB1fvcSt2QuVeH+81e/5/cZvWaJ+Ot78Or783qF0W7y2M6/GYIxCCms2n/3\nWd16vGbw/41GlfQEJgEdrkXa5fh70bmjHnmxcVMyJSVubAGlPwavGvb63LrC1es6g+YLP9P8yoxq\nIogICJreskv0xDBLkqdmiYegfVPPBzUP2XvnQSfz116Zw3crv2LHyqUEBQbz0oz3aNKkZekxiqXE\nPemJqSxYOJsPnhqH0+GgS9devPzR50yf/hS3dO3DsPFPApBYpz7bVy7lvmdfAaBmo1sICYvg9Tde\nZUD/fj7Stpe4ufOO77DbZUYOr0mn9jGguq95HjVB0s+KJuokVaaprofQvIWZvEQNpQSnOAGTT4Xj\nVdx+ZH01kfdqUZGFa87SKj4ISdQftOvP5dOvfUVEo+lXHrU/Wevn7toRKD7S9ilvP9Iu03fyKpV9\nvXjtcvwrcEOKWxCEM4AJyPGs2q1p2oNXbVOuuH8Lf6IG9x9R3bd2XsG+A+nMfq8zo0f/X3tnHiVH\nWS3w3+2eJUMmk0xCMtkmkMhiFpasbAIDGggEzJOIQfQhiufwgiAPRCXwUAjvsMgDRZaHIIggIBK2\ngGEJyiQmgBAkBLLACzBZCFkHYSRMZunv/VFV3dXV1XtP99TM/Z0zZ7qqvqq61cuvb9+q+r6D47Ju\n546/iCu7jg4W7AxhZmfc7rEojTEYV3YeG7MydkOJOyNPNuCC9zpydz/T7kvhnPKGU293SijhkDBx\n4v5c8/Bz1A62qncL7rgJE4lw+nmXRNf/rOUTLjz5MLZt205IhLY97cyZ8zjPL25izOgaXmr8GrU1\nIYi0W53+R9pjGXek3RK6iViPTSdE2ixBgyVlJ7t2sm7jHoSg0xY38Rl5pDMmeJfMreelk7b2Tr52\n1V94d+M/GT+4irU7WxlZV83Cnx9LVaW/RL3lkLj/bmH7ZM3R6VDY6uYV7C8ke3moLH6+/X6TMutx\nNON2/yL0eV9GX3vNuLNft6sybmPM/vmsH3SsXjy6+A2X1a3DEeaeO55XV2zjFzeu4Mwzx1HZJzE+\nCYmVIYsQwthVXruH5ZCVYYvYQ2nZl5dExO7KQqyrTpzOqsB10jPkTEvc/FS4eyONdV0qsbsIRaLy\nlhD0HzCA5u1bo+IePfYgHr71OmafexEhu5TwjyUvcMihkwiHhObmzznzzCdYunQTew/qw+N/mkFt\n/7KYtJMGFoo+71ZpAPsJsEUnYcDKrDFhKwM3HbFM3GnrSNsZWcZ0QiQMYRC7pCJAn7JOFl07kyWr\ntvDWB81cWF9Dw8FDE7prTQzTp5YNmUtbXO3d0vbWub01cRfp+iLRvkoKT9417rQ76MEZN5Sozu3M\n86kxdnTCtKMWsGZtM5ddehhX/NcRvll3bMBgd2Ydn3lH3NN2G4hl4M5j6398J0rpXnK3j9w9D7oz\nbKcnP/ddhHfd9b/c//Af+Y+rb2bIiFEsW/QYf7hpPl8YO4EjTjqN7ZubaHz8IR5/dAEd7cM45/uL\n2LjxU4YN3YunHp/JQWNrrC9DJ7t2HtsZd1ymbQ/VRaTd6p8jmmW7MmpHyO6M25uBu7NuiK0Tfex0\nIejKyB18rvWOI+4EY1lsnrv0kUra7szcK24n405W306VbTsvID7vWz96qNy7KuNWcedJtyuXAH97\naSvTT1pIKCQ88/TXOOaYURnJG4i/Ldu4L//zlkZi893T0ThT3NIdN8+WdEjipx2BR+eHYln4zb/+\nJbfffiuffNzMxMlTufaaa3jnnXW82LiEYUPrmH3at7jv95v53b1vATB18hAevP8ERg2vjIo6Kmiw\nxdwZL2t3O1vegCVwZ0AI45K4O6t2STvS2ca9C1/loT+/ZvXaN2sqc44fax1nMpk708520+F3dYhT\no/YTdtx8j7Sdskiqk5LO+lomSYuKu5tStIEUUmUvPh+iK676Ozfc+Aa1tZUsfvZ0xk+oi66TTN7g\nn31DvMCddtb/WDiZvs7iybDd8/xE7b6jM7auoTPSSUVFebScsvWjFm69dQW/uXMln33WTnl5iB9f\nPJFLLzmUynISZeyeTiZu6+Bjkjed8dm3uwQC7GltZeuOZoYO7EtlWYjz5t/H0uVvMWu/Gjoihsfe\n/YRvnjqV+XNnxLJxe7vWE9wZPw3xQk+FW9YQXwrxlkZSZdp+5RUg46tJXNOJIzapuDNeV8XddRSs\nxl2grNtZ3hmBOd96nqcXNTF47yqeePzfmDSxzjfzhvjsOrE04vz3kXUmY54lHGpyccdq27H54pF5\nyDUPE2H5sk3cfc8qHn3sHdrbrVR/5kn7cM38wzjwgAH+GbRXzI64nWnvSOY+60UFDhDp5JZ7n2T+\nzQ9THoIOAz/8zkncdPfT3HHyPtG+Tpo/7+DC5zbywbPzGVBdkSjqaNnEJ/vO6Mn1ZNx+GbYz3y3s\nuDaJmTbQNdJ2r9cD6ZYnJxWKc4IScJ+kjPa25u3Ux9UmHIL7f/cVvnHmcyz+yyamn/gId9w+ndO/\nfqC1DauATMjuPTCCQcKWzLFPXIpTQrHHObTeSDG5GmOtkyl+mTb4l0kgJnhH1tFlJsJbq3bw6KPr\n+NMja2lqskZrD4WEWaeO5pKLDmXq5MG2aH2knTTAcLwkJURnRztNGz9kYP9qagf0w3201ihB1kfo\nzy+u4IbbHuHqY4YysqaSTZ/sYd6dTzKspjIqbYCBVWUM7ldJ09YWDj1wONGBC5y6dnQgA3udiE8n\nUN4M3HvpXrIbbcSnVOI+EZkk0wbiB09IlWQklXPvk3ZXouLuLvhdPeLt5Me3TaK8HblU9Qnz6MMz\nmHvBEh546F3OOvsZnn++ieuvO5aBg/oiWAI3CGFbyghEomKOJZ0h/MoiuUnbmrb/+2TfIa/AMbS2\ntvO3pRt59rn3WPTM+1FZA4wY3pdvnXkA3zvri4wetZc101XacA5CXBl13PPng5EwLzS+zLkXzWdP\nayu793Qwe+ax3HbdJVRWVljbkhDG/lK464FnOO2AftGRcer7VzL7iwN56O2dtOzppF+l9Tru+Kyd\nHf/aw5h9R0B5VUzCTtklTHxd2+9EZThFB0/JTlZCvIyTZdmueXGZtjM/3QlJ1/OXFpV2zmippAB0\nabkE0pdM3PO9Hy7AINz529X89PKXaW3tZNDAPlx+2eGc872DqKisiLUn/jK+SIFKI7EQk0vaPU8w\ndHREWLlyK0uWbKSxcQPLln9Ia2tMaEMGV3HqKfty+uz9OPrIOmtMSW95wwrY2qZX2t7lxJcsPtq6\nnYO/NJuLpu7NoUP78llbJ79esZOjTpzO9Vecl7DNE8+4mMnhXRxZH7vzcdnGT3lw1U4Avj5uEB0R\nw8L3Wpj7nZn89NxZPmUSl8Td893zMiXhhhofYTvz00k7WQkknxOS7vV6MFrj7uYUrdbtaZdU3j5t\n3l3/Kef/51KW/m0LACNGVHPB+ZM469vjqB3YN2H/cYMwuF7CVGMnugklybLBknNs4xF2727n9de3\n8vLLm1n+0oe8/MoWWlri72w85OBBnDB9FCefWM+0KUMoC0XPnLq2lUTY7nY+mbdX3L++6yGeu//3\n/GBybAT5LS1tXLFsO1vfXpSwzd8+8CS33XIPVxxZR2VZiD0dEa54cRPTR9ew8/MOGje3ctS0CXzn\n9K8w87gpibJ2X2HijtFbFsn2KhM/UcdNlyUsS7h6xJppheWeziSh8CyLzev50gatcXd7urTWnaJj\net/RRTw1b6fNAfvV8NzTp7Lw6Sau+u/XWLO2mUvnLeXKq5Zzyswv8PXZB/Dl40dR3a/K2nbc2Jau\nEW/S3BSSECPxom9va2ft2l2sXLmdFSu2sOL1bax6a0e0vxSHMaNrOObo4Rx37AiOO3Y4QwZXuURs\nEkXsPAeu58Y7L9MTfXta91Dpecr7lIXY09YRey3scgnA2XNmsvSllXz/6WXsN6CC9z9uZdKwao4f\nM4AFaz/mlOlHcOcNF8dOZhKOjTwD1u30Ydd2neVx88j8VnT3+yWTywXBvzRiLbDmu8sjcfvKUtpK\n3mjGXUAKKu4sLhGEFD9Nk2RMkYjhmec3cfsdb/OXFzdHm1dUhDhs2jCOPGI4U6YM5aAJe1NfX0Mo\nnP13/O7d7Wxo+pj17/2Td95tZt26Zlav3smatbtoa4uvLYdCwsEHDeLwaXUccXgdXzpyGCOG9/XP\nmMFX1pFIhBf+uoTlr7zOqJHDmXPayfSr7ptyHYdoxm23e2d9E0fP+DbXHTecodUV1jiTK3cxcPwk\n7rnlqqTxNC5/ndnnXMa0oX04pr6a1btaWbxhN8ufvJX99x3m2p/d7a23POKNM9+rSxy8mTdkJ2zX\ndF6Ztl9sPRgtlQSEota7fdqmLJ245rk/jBs2trDgsfUsfKqJV1dsS7jrsU+fMPuMqmHYsGoGD66i\nX3UFfavLKbMHU2hr66T18w4+bWmjubmVHTt2s2XLv9i5K3m/Y2NG1zDx0L2ZPGkIUyYPYdIhg6iu\ntrp7zUbWDpGONs4452JWvdvExIaT+Oj9dWxct4rGhb9nn5E+vRL7lUk8+/nNvY9w2fybObCumq2f\n7mH4yOE8+eAt7F3bL2kcmE42friNG2//A2+sXMv4cftxydwz2G/fEb7HIq7RmX0l7j1u62ATj8eN\nNytPkn1nLGzXPJV2dqi4A0KXZ92QMvOG/D5wzR+3seylj3jl71t5481drFmzi23bP886dIDy8hCj\n6vsxZnR/DjygPwceWMv4cbVMGDeImn6uEVq8YkpV2vBmyvbyhYte4NJrb+dn9y6krNy66uLRO26k\nvPl97rv9mqTrg4+4Xfvd1fxPXl6xirrBA5lyyNj4Sxqz/IJJWW8nicQdsj056cZH1uAjbKuBtSwf\naXuWx89XcWe8roq7uBRF3pCbwL3rpVrH5tOWDjZuauGjj3azc9fntLS0s/vzDjrsUW7Ky0PsVVVG\nv34V1A6oZPDgKoYNraJuSFVcr3+QRtKQsai9yy+6/Fqa+4zk1LPnRhdt29TEL+Z+gw0rF/vvy9mm\nn7j9YkmyjYy/eFIdS5J13DJPDCUx85YkNfC467Ahc1knaZvQ3m+9ZPvrRejJyQBR0BOVqXoHTHOd\ntyOG6M06EDt5CbETmHGxe3YhYWr6lTFhXC0TxtVmHLa17wh4v7P95JmtrH3ajBxWx7pV78XN+2jj\nBwytG5x8v+nw3pADsefXtT1HYNE43W18TmQ6y+LWS/IaG3xicPAZsDdpipTP+ZF06/itm2rfSt6o\nuINAOnmDSxAuQbnutASPwDNEfLaXMs6Uy3PMYFNt32777984hRtvm82zD93NESfOYvP6d7j/+su5\n8ecX5ibtaDCeqzqi87MQeBqMhDyvWzj+OfDZV8b4xJC2Hl0oYfttSykIWirpQrrk8sBcPiQZlEMK\n+uFLd/VDvrJOso/V69Yz7+qbeenVfzByxFAuveC7nHHayemiTV4qyWCfqeLM5JdCpl9mSbeXARm/\n3tmU3lJtJ9n2eiFa4w4oXXZtdwEE7pD29uRsr8VNkxlmLeno8uy/ENKRsbQLEEdGIs9j+/47ze3q\npOiusnwvpdx+L0Rr3AGly27MyaZ84l4HEtbzCiXhw5pHqSFtlpivrDPZRqHxq33HLfcvbSSUUtxt\n3e39pJdsnUxJJVIVduBQcReBLpU3pBc4JJ7E9OJzUrPgZCLYTPddAFnnlG1HV05S+45r4yNlEqWY\ntibuPsmZD2mkm/KXlwq7W6HiLhJde0t8BuNSJsvC3dvwkuvtytlKNZsvimJn1+nIROCQ8gRjUpF7\n1+0C8pJ1tJ1Ku9iouItIl8s7uqMUHzg/wWQj83zIJZPvIlHnlW37btD9iybDLBwyEnnc6jk8h1kN\n1quyDgQq7iLjCKNLB19IV0JJaJ+FzDOOIU8xdrfMOhsyzcIhaTklGV0yYnq2Gb1Ku+SouEtEUUbO\nyaf80VV1bt99FVfSBc+2k+7Ie5I3w3JKMvK6Hj2PcouKutuh4i4hRRv2zE02N9QUK44iUjRp++48\ni0zcd/0iv14q7G5L3u8EEfmRiEREZGAhAuptlFQkJhL/V6z99EZpu5Fw7K+70Z1jU6LklXGLSD0w\nHdhQmHB6J0Wpe2dCkOvKKeg2wvYj6YnhIsSscg4s+WbcNwE/KUQgiiWYbi2ZABLY59Od+Xr/CrUt\nJbDknHGLyCxgszFmlXcEbyU/uk0GHmACK+xMUOn2elKKW0QWAz7Dh3A5MA84wd28gHEpqMBzoUcL\nW1FsUorbGDPdb76ITABGA2/a2fZI4HURmWaM2e5tf+WVV0YfNzQ00NDQkHvEvRAVeGpU1kpPoLGx\nkcbGxozaFqR3QBH5AJhsjGn2WdarewfsKnq7xFXWShDo7r0Ddm3fsEoCbnH1FomrrBXFoiDiNsaM\nKcR2lNzoyaUUlbWiJKJ3TvYgvJILmshV0oqSGSruHkwQRK6yVpTsUXH3IvwkWUyZq6QVpTCouHs5\nKlNFCR4l7B5OURRFyQUVt6IoSsBQcSuKogQMFbeiKErAUHEriqIEDBW3oihKwFBxK4qiBAwVt6Io\nSsBQcSuKogQMFbeiKErAUHEriqIEDBW3oihKwFBxK4qiBAwVt6IoSsBQcSuKogQMFbeiKErAUHEr\niqIEDBW3oihKwFBxK4qiBAwVt6IoSsBQcSuKogSMvMQtIheIyFoReVtEri9UUIqiKEpyynJdUUSO\nA74KHGyMaReRwYULS1EURUlGPhn3XOBaY0w7gDFmR2FCUhRFUVKRj7j3B44RkVdEpFFEphQqKEVR\nFCU5KUslIrIYGOqz6HJ73VpjzOEiMhX4EzCmoNGFK8D0KegmFUVRika4oks2m1LcxpjpyZaJyFzg\nMbvdayISEZFBxphd3rZXXnll9HFDQwMNDQ0ZBReuqc+onaIoStBpbGyksbExo7ZijMlpJyJyLjDc\nGPNzETkAeMEYM8qnncl1H4qiKL0VEcEYI37Lcr6qBLgHuEdE3gLagLPy2JaiKIqSITln3BnvQDNu\nRVGUrEmVceudk4qiKAFDxa0oihIwurW4Mz3DGgT0WLonPeVYespxgB5LJqi4i4QeS/ekpxxLTzkO\n0GPJhG4tbkVRFCURFbeiKErAKMrlgF26A0VRlB5KsssBu1zciqIoSmHRUomiKErAUHEriqIEjECI\nu6cNkSYiP7J7UxxY6lhyRURusF+TN0XkMRHpX+qYskFEZojIOhH5PxH5aanjyRURqReRF0Vktf35\n+GGpY8oHEQmLyBsi8lSpY8kHERkgIgvsz8gaETm8kNvv9uL2DJE2AfifEoeUFyJSD0wHNpQ6ljx5\nHhhvjDkEeBeYV+J4MkZEwsCtwAxgHPBNERlb2qhyph24yBgzHjgc+EGAjwXgQmANEPSTbzcDi4wx\nY4GDgbWF3Hi3Fzc9b4i0m4CflDqIfDHGLDbGROzJvwMjSxlPlkwD1htjmuz31R+BWSWOKSeMMVuN\nMSvtx//CEsTw0kaVGyIyEjgZ+C3gezVFELB/fR5tjLkHwBjTYYz5pJD7CIK4e8wQaSIyC9hsjFlV\n6lgKzPeARaUOIgtGAJtc05vteYFGRPYFJmJ9kQaRXwI/BiLpGnZzRgM7ROR3IvIPEblLRPYq5A7y\n6Y+7YJR8iLQCkuZY5gEnuJsXJagcSXEslxljnrLbXA60GWMeLGpw+RH0n+EJiEg1sAC40M68A4WI\nnAJsN8a8ISINpY4nT8qAScD59uhgvwIuBX5WyB2UnEINkdYdSHYsIjIB65v4TREBq7TwuohMM8Zs\nL2KIGZPqdQEQkbOxftp+uSgBFY4PAfe4ePVYWXcgEZFy4FHgD8aYJ0odT44cCXxVRE4G+gA1InKf\nMSaIA7Rsxvpl/Zo9vQBL3AUjCKWSJ4DjAewh0iq6q7RTYYx52xhTZ4wZbYwZjfXiTuqu0k6HiMzA\n+lk7yxjTWup4smQFsL+I7CsiFcAcYGGJY8oJsbKAu4E1xphflTqeXDHGXGaMqbc/G2cAfw2otDHG\nbAU22b4C+AqwupD76BYZdxp66hBpQf+5fgtQASy2f0G8bIw5r7QhZYYxpkNEzgeeA8LA3caYgp71\nLyJHAd8GVonIG/a8ecaYZ0sYUyEI+ufjAuABOzF4D/huITeut7wriqIEjCCUShRFURQXKm5FUZSA\noeJWFEUJGCpuRVGUgKHiVhRFCRgqbkVRlICh4lYURQkYKm5FUZSA8f9kn13vcXCvlQAAAABJRU5E\nrkJggg==\n", - "text": [ - "" - ] - } - ], - "prompt_number": 16 + "outputs": [] }, { "cell_type": "markdown", @@ -839,33 +647,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEKCAYAAADXdbjqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nprL/B8cIPHbw1EwsAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUBS7goKCQjtDUewKCgoK7Yz/D4R04nV6xK1lAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 17 + "outputs": [] }, { "cell_type": "markdown", @@ -969,24 +751,7 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD7CAYAAAChScXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nieBI28HBwaGJ4EjbwcHBoYnw/3KjxWIqApH9AAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The hyperplane predicts 95.00% of the training data.\n" - ] - } - ], - "prompt_number": 18 + "outputs": [] }, { "cell_type": "markdown",