{ "cells": [ { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Introduction to Image Processing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tour explores some basic image processing tasks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gpeyre/anaconda/envs/p34/lib/python3.4/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['pylab']\n", "`%matplotlib` prevents importing * from pylab and numpy\n", " \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n" ] } ], "source": [ "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%pylab inline\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Image Loading and Displaying" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Several functions are implemented to load and display images.\n", "\n", "\n", "First we load an image.\n", "\n", "path to the images" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gpeyre/anaconda/envs/p34/lib/python3.4/site-packages/skimage/transform/_warps.py:84: UserWarning: The default mode, 'constant', will be changed to 'reflect' in skimage 0.15.\n", " warn(\"The default mode, 'constant', will be changed to 'reflect' in \"\n" ] }, { "data": { "text/plain": [ "0.2722298221614227" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "name = 'nt_toolbox/data/hibiscus.bmp'\n", "n = 256\n", "M = load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can display it. It is possible to zoom on it, extract pixels, etc." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = int(n/2)\n", "imageplot(M[m-25:m+25,m-25:m+25], 'Zoom', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Image Modification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An image is a 2D array, that can be modified as a matrix." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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meOj1gRMhkRqLxVSpVEwgQPgoGY6Nz2D3pSQVCgVrmvWlL31JH/rQhyxJi/Ph\nPVwvhp4EIOiK75kWWgTe0wRUJknjRLWPvBBkEKrn7RkoCYqPYPODo/POCeMI8pHG9ct3YzSbTXU6\nnYkEPLkD1hqKC6UnXIfmwBliMD2NRnKctZpO+jFY7+HwcNMb+Qzab7BGBwcHmp2dVaFQsE1AGxsb\nE+CENgjMK+WhrVbLPrtarVo0yeavTqejQqGgfD6v0Whk+YBwOKxHHnnEUPBgMJho0UCymPv294hO\ntNtt7e7uqt1u20ZDX1HjN+N5OtAjb+bAJ12ZZ5+YpUIKZ8q1efoHQMX6U+3jKcnpaHO6goZeO5FI\nRPV63XTNzwNg7ceNe8LQ+8QaHoxdl2yfTyaTdoMgOm4SROND1OFwqK985SuWsPTb+dkcQQki/Soo\nQSQRTJnj/Py86vX6RBXO7OysWq2Wce3e+HilRnhQVm/8p6tHeNxn5EFjGADv8Px8Ucnik0oHBwd2\nLclkUuvr6xNNtZh7UA337JOdfNb09/mwmfvmOXIDGHp/T34Hsg95pUnU/nZhu096vZ38eCXyaOdO\nUc9fxcBRMkCzrCtcLxUmPmktjaMnChXebqPNNE/r55TP8FETUSbGB0PWaDQsmiZJSdsBIkhKdYk+\npEMAxaYqwBp0ZD6ft52usVjMdpLimDBkfDa9nOhAG4vFNDMzo/39fdNb5oQ1JkfD96TTaeOvkT3u\ni/mRxlViOF+PoqF+puUOY4+9QYeZMx9Zdbtd1Wo1A6HomKd+WBdPtQFi+S5sBd/hEb2nx37UuCcM\nPfWkCAD116FQSIuLi4Z2fJbZe1AWnSx7u93W7du3LezyXC4Cm8/ntbe3Z/1ncrmctre3DSXt7e3p\n1KlTkmSJz+HwcLcq4SbImUw7XCY0B4tASMz1LC4uqlarWdWOz+jDmadSqYkEsyRVq1WdOnVK+/v7\nExxis9m0TVTw4XwvFU2xWExXr141KsbvXIX/R9lwDL6un/t8uxyJNK7v5Zq4Fubec/hUkXCN0hi9\n+w0h3pH4sNivP8rjOVlJ1krAK9DdGO12eyJxx4Y3yvpwiL4fEFEWSBSk55tgea6W+/bJR+nt8xre\nmFUqFauCwdkEQaCrV6/q4OBA29vb2tvbU71eNwCEfvpNdwCSfD6vbDareDyuF154QSsrK9auYW5u\nzqrn0Fn2zBCBcV3IIMaNShzaGUiH6//GG2+o2WyavgMOyZUB4Dz966tdfDGEp/6kcbkkg4jV59pC\noZBFLMMjb2tJAAAgAElEQVTheBc9cr67u6vt7W0Nh8OJqNkngfkcfhOh+Bp+dNvvSmdNfYL+R417\nwtCPRiPbIIKHxBClUimjMphEDAlIulKpTOzabDQa2tnZ0Wg0UiaT0e7urmX3PbWwtbWl119/XceP\nH7eSqFarpWw2q4sXL2pvb8+uTzqsDiKZiwGh8gYBbLVatjjwnr50rNVqKZ/PW9IIg4WTgpccDMbd\nGHF6OEDQOs9j6KQxPcXjtVpNhUJBvV5Pi4uL5mwwFj6pQ6mc5+K5d5Co37I+jfwRWI/+I5HIRIkr\na8taEk1MV/Twv0fpfLaPAEmwkXxGWaRx+Hw3N0whI1w7bbMpo1tYWDCKwTvJUqlk7/cjHo9PVFvg\ntD13yxx5qoH19k4TNDkcDnX8+HGlUilVKhXj3OHaycVQyVKpVLS5uWkIk370VFjV63Xl83nrQksf\nHKpx2OjEerfbbXN0vuMjdBUGHuNJXf/jjz+uK1eu6Ic//OFEgzfmwEeSfi65f6gROHwve9iX6aZm\nfn8HNoD3kfTl+9F99NlHxryG+ec7AYm+IAU9mk7Y+u/7ceOeMPTcrEei/jEmhsn1aB4hxNN5tL2/\nv69isWjoUpJVDYCIEEJKN3u9ns6cOTPBX9PPe2dnR4PBwA48YOJBAyAUFgvvjfAiKKPRyKIB7+EJ\nMamHxpD7OnOUgeHrqpkbnCZzyE7cRCKhGzdu6Pz583YtfL9PLoFY/Pr48NVHKp5a8Uo2zRX7vQA8\n7hWGa5+mcrwj8XSOT8hyfayZdwp/EWf9Tg1PzXGNOCbPzeP4cX5QbsiNJDMArC/v8617fXQL0vbG\nyOda4MgHg4EKhYKWl5eVTqe1trZmsuidCOvc6XTMEfma/VqtZog9nU6rXC5PrB0GnSZ90+180RXW\nmOvl+8lbSDIHc99992lubk5f/vKXTV9JtHLtHgF7GwMokyZRNb/9DwUJGG3vjPzn+uSrp1JZEy8X\nngKCBvJAis/3CXn/+F9Gru8JQy+Nt65PIzBCEyaYrDkJRr/j0zsEFrtSqVjYiNCEw2Hrk+H7fPh2\nwoSn9Xpd8Xhc29vbOn36tHZ2dixhhaCQNC6VSlpZWbE6Zm+YSdhks1nbOUhPbATd84VcfzabtW6R\nodDhpig2VmUyGaudx7B7LpWafpyHJP3BH/yB/vk//+eSxtQOQokR8PQMxtSHzdK4Usejexy0V7Jp\nKgcqySetcFaEqj5kns69MEfeWaB0Pl8BhYUDvluD+cGBceALeaObN28aVce8+fJJNiqRXPcNv3AG\njUbDgIpP2E8bJW8kvCEtlUra39+3Dpc+8UrUiTyDgG/fvm2J3Xq9bk4hFArpvvvuswQs10EkU6vV\nlE6nbW3YIEniFd3BqLOO5NqkySgnEolofn5eP/dzP6eXXnrJ5Afai2Q9MuUjUWkMlLzBfztjz25b\nv69kNBpZVQ9yBm109epVdbtd5XK5iaoaH437aJW8DHt4/NxLkyXNrLPvuvnjxj1h6L2B8R4S4w1y\nTKfTZriq1aopB8k/uOSvfe1rtnDUwVPyiLEE6cbjcVUqFW1vb6vZbOpv/s2/qb29vYmyzU6no2Qy\nqe3tbStFw9FgVOBLS6WSNY0ieeYTRyRI/feTsPM9M6YFzwuqdNj6FuVCQaSx4IIcqUDAiDSbTd28\neVPnzp2bQOQ+NPQnNDH/bHrBWfpciad3dnd3ValUrMIil8spmUza3xgnj+59mZrn7n09vE8Ck1hr\ntVoTho2BsSSKmE54v5PD9wLa2tqydh9zc3OWQGQOkCN4bmlcZcbGGwoIPOVGBZbfGcx8eQPDWkIZ\nYag2Nzf1wgsv6Pr163ryySeNpvOnjlE7z3fxmeSI0MGLFy+aPFOKTB8aAARVc0TA3uARYQPmpEOZ\nr1artteAx3xScnl5Wa+++qo5MJ9zmKbufPm1f8zThZLsmpEjOHoMfzgcVj6ft3MiSJizIYzrjMVi\nplNEGD4HwHuZ07cr2/Q5Kw+s7rQn/T1h6OGdpzPL09ys56vpbieNBU6S9dKgKgAD1e/3bQcgRo/t\n1AggxhYDiceEZ+WggeXlZdvGzPtZRJKyeHi8fTqdNh6QkA6kwd8kRgnxfdhJ7xxvvDnZxidkPFKh\n78j8/LwJaDwe1+3bt3XmzBn7HmnSofidgdK4/BUEz/fgCDgUgpI6wswbN24on8/b1vR4PK6ZmRmd\nOXPGdjj6ahkflXnOnsE9MSe+m6HnoDEmXO/bJY/fqYGhZC0xetM0gjReA09fDYdDay2AfvC5ODTW\ni41L03rhDVo0GlWxWLSkPolWPo+jNDFyGFcAAD9QT+htOBy281+JdBOJhDUr8/srfFtmP09cM3Ll\njZ40GbEBRJDD6TWHd/d5HuZ42vl7Gowfn8vwOsVc+HugBBQA4oGqT557/eEefNRFG3BpcuMi6+nl\nGFDmo+wfNe4JQ0/pJBOF0GFIPQeMt+aQBiaTG19bW1M2m7Uj1+CUSfphUDnlB68/Go108uRJ4/UR\ndr670Whofn7eTgLKZDJWR5zNZi1K4FQo8gSEr1SaYEA9T88pOiAchGE4HKparU4IB1w7ikaUgtEO\nh8Pa3NxUKpWyo9n4fnr97O3tTSgSBh0KideT5C6Xyzp9+rQWFhZM6EFJr776qiFMjAF0FHPudxff\nvn1bV65ckXS4a/SJJ56YKM2c5vH9/yiPR60IP/+jOMwVBpINee/0IBrBURcKBatdP3PmjJaXl1Uq\nlewwDTbEsT+CHajS4frMzs7aujA/AJW5ubmJbfbeeOE0abPx0EMP6Xd/93cnjFkoFNJrr71mKHF+\nfl6FQkFBEKharVoxAmtLaTInOD388MPa3Nw0o14oFOzwes8x+30N6CRGH8rGlyQiOwAz7oVzlAFY\nlDu3221zYERHHhB5YITO8DNNlbCGIHJpTL+gi5xnDCDCkZN3Qdd9ZZx3LrzH8/7MjY9op5PJOOI7\nGfeEoefC8Ywssk9cMvDkGDdp7P1IYmEYu92uKpWKhsOhcedQD6PRyPj5Xq+n06dPmyCzG/D8+fMK\ngkC7u7vGxafTaUtioTgYH9AbRp4wfG9vzzoFUtUD2iJk9Pw6r0kkEpqfn7dEMyjJI0MGQuAblWH4\nqFxAcEDYJLlqtZpKpZI2NzctnyGNW1Ps7u5qfX1dv/qrv2qRULfb1cbGhhkF1sUn+1jPIAgs8Uxk\nBFfPDk2S4z7XgEHxSV6+SxofFUfkh/Hzm15wFHdrIMNUZq2urtqubAxEsVjUlStXTOExoiQWqcbC\nINImenNz0xw80RqOz++naDQa9nitVtPLL7+sV1991QweCdJGo6Hbt2/rxIkT6vV6Wl1dVbFYnEDM\nAJF8Pm9Vbux3ee6558zp4PyXl5fVbrfV6/W0ublpDf58KS/Xiwz5lghEMXw/hh4n7imspaUlvfba\na6afkmx/DBQrVWnIqqd6mA9PnUpjxwBwAbxh7KkoovpIkkUXyDPf63fY8v2++sg/jp3zkS5yzr3f\nqWzfE4beX+w0lfF2/CrIYPpGMbhw0el0WvPz8xPtTL0B4PtCoZD1rfbGe39/30698iVY0DoIG/W7\nGDDCOISS5FKv15ugnHwoy4L6qpHh8LCJE4qKwfZCyv0gYOQEQqGQ3c+0gWTTzXB42GxrZ2dH1WpV\n+XzeIgGMJgZkb2/PlA+jgIJ4ugWKDeoJmorXwinzuum6b7pQjkYjra6uvi29gQL50JWqDiIUHxXc\nzTp6wnZvVP3OTfIWHDziS+kkTfDCyDd19944Ebl6BO91x9MgUJLIGiBFklGSyWTSaBo2RNE9E7BA\nohN6JxQKWdXN7OysrQVyyHUwPCWCLFBlhnyQu/Plj3wv/aEoOjh//rx+8IMfSBrLCdEDRtg7Bk/n\nMOceVADAoAu9Efc9uXxjwemIl8/yORO/P8UbcU9l+QjW00nTke+7qrzSG2u4bR/2vJ1x9qVUGIiv\nfe1rJsCzs7NmaDh8wxuhSOTwKLZMJmMbpzAWHFyAoELFYLRJztBKmPNtSSIhiISeuVzOjCv3hfGL\nxWK26xZBhwZCwWhjQD8QEnJk70nKsh3+9OnTE6fvZDIZu9ZIJKKdnR1tbW3ZFnUOewAJExERgiPs\nHGQuya6XDWQYIdbGt0NgrjD6oLTh8PCQCm+IcWI7Ozu6fv26wuGwHnvsMUvieqTl+WFpnOvBybyd\ncXmnRzgctiqrfv+wiRhyyaa6TCajU6dOaX19XbVazRClByxsrgMc8H6MNjkpUCff7SuomOdQaNxe\nRJpsS81GrsXFRaONyuWy1tbWLNGIjCYSCS0sLBgNSitv+vtQPOGjYfSPaIDErqci0TsqvVqtllXn\nAIz8PQ8GAyWTSb366qvq9Xp2HCnyzCEgOEdfwsk9e3oY/eZ/v8kPfUD2OJAFZM/9sXfCyx76mUgk\n1Gg0LCKY5vKlSXqJqHAavZPUvZNxTxh6aXIjjDTejcpZqzzHxIXDh5uSmORIJKILFy7o5s2bZixo\n+OXrcDFK0CgIrG9jgOEkieRDOULpRCKhfD4/UYdP5QNJYMI1Ki3ozU3Yi9B5JODL4nz45ncjoug+\n8YNy09jMtzPFqdTrdYuUSqWSTp48ac4LR0gpJvPNYSnhcFhra2s2f/DHrAXrwh4A0D/IklwE10MU\ng/HxVRJwrVQ8PfPMMzp37pzOnz9vvWFAfY1GwxL00w7K02J3a8DbositVkvr6+sWOcGrt1otHTt2\nTLlczjbaQVuyezWRSKhQKFjtOqi7UqlYXovvJKr0eyo8os1ms/Z63yvIG5Wtra2JMxHoOUW/eWmc\ngyAhPDc3Zw4NQw8oqFarVqxAYpJ18j2VfBNA6RBU7O/vmy7AjSOX9LJ64YUXlM/nre1CuVye0BNf\nt09VHRQTiJz7odoGZ5rP5y1HhY5zrXyWJFUqFasIm6YPcWAY+E6nY2WgrBvXwLVKkzvDeR224V1l\n6D1VwcDQgFgxXH5jBYgFb1ssFnX58mWbML9Rie3elI6VSiXNzs4a5UIJJcIG0gYtzM7O6vr161Yu\nCE0wPz9v/W8QYhJECD9C5BNpHrmQtEIg6BeCA0ilUqZw8JS+UgVeHOWh7r7T6ahYLErSRPOvarWq\nkydP2pwSioJemHvaSczPz+v++++3z8do+7psX/WAomA8iDww8pRFYpy4fvILUDceFW1tbWl3d1cf\n/ehHbQ3ZK0BlCk6QBB886t0cUH2ABXIu0mGF2NzcnE6cOKEgCAwdxmIxXb9+3arEdnZ2TDZILkKl\n7O3tGT3ijT1GG5TJWmF0fR4DBIpBqdfrCocPT4gCvHggRB8a1pmmgr44AiPoozhOiNvd3bXcDteN\nEe/3+7YvAN3mUCGKFWiKht5zf57629vbM+PqjSHOFvrXl4tOV3kVi0UtLS3Zd+DcmEcAE9RSLBZT\nuVy2fQk4DfKO3I/PnxA58P2eg/cFE8wV+uwdx52Me8LQT5cHehQWiUSsIoGQj2y7r86hBp0wWZIl\nN0BThUJBzWbTqiAQlEKhYGWB1L6TaUfBSPY0Go0Jb1qr1TQ3N2fGRRpn5UE6lHiycCi63wHnNz35\nclGEGLrJG1GEgbkhQpAmOUi4eN7rNzJJb42mPJJguzl0ixdMn0/wFQO8Thr3rMHg+9p21s07Be6f\nmn2iERLU05VYXmFBZ0QDfNbdLq+EqvP8O9FNo9FQvV43ugtZ4yg8jByJbQwM8xIE4zOMfU2+r9TA\ngPqciF8vnAL/nz9/XnNzcxZdMYgOiLZZr2g0aol7HLYvQSQyRha8fCD/gDdpvOsV5O+TpAA4ErnT\nde68n8+cpjt87oKoh/tBJzKZjFKplBYWFswoM38AK76HxDIGenZ21uayXq8bKBmNRmbHOM0NgIMe\nsfbSZCM6orlUKmWRGFHiuyoZ+6d/+qe6ePGihf3TCVhQfSqVsrC+XC5bewOU3Rs7NpfQv2Vvb2+i\njwY8ab/fV7Vatd7bkozj81w6PHOxWLRdqWTKd3d3rZkSiJRogHsBDc/Ozqper6tWq2l+ft6Mpnd2\n/I0wgwpBBigVtBOKSt0+qAHjArJCUair5xg3n6gjGgFRe2PunTCHo3j0geNFeXA0KInnOHGCrB2b\nfUD94XDYWjMPh4fH7iUSCX3rW9/SBz/4QTsQ3iseRglqx1dL3K1x9uxZvfbaaxMoLpvNKpPJqFQq\nWbkujjQWi2l+fl7Ly8uqVqu6fv26tdxAN9hod+rUKev5vrm5OdFR0ju6aRpt2gH6So9oNKoHHnjA\nnveFCXwXO1spU15eXlYkElGlUrHqLpKyvtCASJhIMpfLSZL10wmCwDpq+lp4eHdk2pdn5nI5BUGg\nr371qxNVNETqVJj5AXgi18C51GxsOnXqlEW4HgRxjV7epfGpdoPBQLlcTvPz87p48aKkQ+ZgY2ND\nb7zxhiRZMhlnzNoDCHwbDEYikdDs7KydysWZGdiYOxn3hKGXpOeee84E3LfRJbSMRqNm5BAwhBhD\nglG8ceOG1ePiUbPZrFWKSLKSRY72m5ubMwOId/fvJ1QNgkCzs7P2Wb5fDgid8jBfauhbBtAIrdls\n2tGGoDUEyYdu3vtL4000GGSfqKzValbq5RPAPiSPRCL6gz/4A/2Df/APzFCCzBAynAXfz+tGo5FR\nVVA9/noxVlQvgXTg/en1j/GBGsBYE1FBR1DhREItFArpm9/8pj7wgQ9YKO8NO2gVBZ1uTPVOj299\n61t63/veZ3N/cHCglZUVSdLu7q4VC9Trde3u7ioSiejYsWMWvczNzdkRe6Bp37som83q1q1bE7Qn\n9BgJW+hOH+ExPFBKJpNaXV01gyqNOWfp8GwDkps+ae85aRx1NptVtVq1KJzXEZ34RCucNLoMasVx\nU5KI7pMcXV5ets9/5ZVXJhw7xhP9RYYx6Nls1igXij4ODg70/ve/36In9N3rhSSTfV/KDFgB7CGr\nS0tLOnPmjB544AF973vfU61WU7VanYhImGv+Z43IcTBXo9FhA0eOfKRA5E7GPWPoQ6GQtra21Gq1\n9L73vc8e8wjfV3H4o/C8V8PojUYjaxFKiEOVCd4TwWORQUHQAx7Rk3BFCRAShAHONJfLqVqtmjIi\nYCi5r5SQZCEtRh7ENZ1AezuuERRI0ggj55O50iSNg3IeO3bM+o6A6LgGjnzz8+6pKQaJKN7rq0n4\nDcJiHZhjacxzgm5Ya5wUBgg6gkhrNBrp0qVLOn/+vJWt+moITzH50tO7MYhwSB6SdE0kElpfX9fB\nwcFbqBvyNSi7JEOpoHLmDQfv69NxdNLk5pppWgDDjLHJ5XI6d+7cBJ1GNRaRInLo19qXRaKbgBno\nC56fpiGRWX4jE975c3+sJYlK7uHatWsTkZ0vR/WVV5FIRKurq8rlcuYgABOAS5+8pZTVRzzoq6c3\nGT5qQ8aR4+XlZT355JNaW1vTSy+9NFExxJpQhYW8U6XjD30vlUpWVMEc3Mm4Jwz9aDSyMLxer2tn\nZ0epVMoWzxs72rlK49N72FwSBIEuXLigtbW1CXQvjRehXq/bexmUJNKjBiFOp9PWbImyM1qwzs7O\n2u5RNnj5FgXwhCQLCbtAvJSccY8g9OFw+JZeI56LA0V7rhZjyD2BSHBKtDOFy6X3zPXr1xWPxzU3\nN2f5COYNRfDOFcfqE+Nwo1QjeAXG8PjIiHtgNzBREdftK3Iw/lQq+UTvxsaGNjY2dN99973FmPvk\n/jQN+E6PVCqlUqmkU6dO2VF70mFdN/QCjon7rVQqFqmhG3D20uH9UXEGrYfM0Y4CfeD101wukSdG\neXFxUX/jb/wNk1WQMwYfmaFXUq/XUzab1cHBgUUiuVxO5XLZHBRJ6Gq1qsXFRTUaDWUyGSuz5NBr\nv5PXlzQCkAAgyLGnsEqlkp5++mkzjpLMoUpjAx+JRPTYY4+ZQUdHPDXjd1N7kIWck1CNRqMTVCO5\nPqhSUDb0LwngeDyu+++/Xz/1Uz+ltbU1vfbaa7p27ZokTTg/X5TBXOzu7qrRaKhUKr2FEr6Tcc8Y\n+s3NTUmHC/Piiy9OGHf+9smZ4fCwh3Y+n1exWDSkeuLECb366qvK5XIaDAbW77vf76tWq5nhpi6X\n8G5tbU0PPfSQ6vW6hXWES/CSCFq1WjWklc/nzWDTATMcDlsFD9cciRweB1YoFEyIcrmc8Y30BQGZ\nUUIJkubQcJQWxfVGF4PnDTDfCyIsFAoqFouKRCKWFPKHjLA5C1TCd0GPSOMDHDyalybzDKwlSkCC\nDsVDgeB2h8OhZmdntb+/r16vZ+WoJNFBcijNYDBQuVzW4uKidXNElqbL2u4U9fxVDH/ANvNeqVRU\nLBaVzWZtsw2VXZTegR77/b5OnjxpBQTIPoa12WwaQuX5ZrNpkSgJVLbgU6589uxZO9RnNBrpiSee\nUD6ft5LjWq2m48ePa21tzaJT6RBdLy4uand3V1tbWzp27JidFCWNN/1gjIgAoCDm5+e1tbU1kasB\ngXtABXWHoQe41Go1081oNKrvfe97E8hYGm8eGw6HyuVy+mt/7a8pl8tNFFd4OfQ0JdcAmkeuiErI\nWaC3bGLEUU9XEQFew+Gw9vf37VqXlpb0xBNP6OzZs7p06dLEhjAS0eQXKcMENHLdf5nc0z1h6BEU\nz+f5RIc0eWgFv2/fvm0n9vhyLX98GWWATBCGkFAJxRkMDs+pPH36tJ3TSr08Ssf18Hr4d3YP4gj8\nbj5CbJASAoPH5nmy8uycxYgyJ91u10J3uDlQl/TWk5pAPL5Cg++iUkMa0ycIDk6Fz/AhMffPdYGi\nEH4MC0oPIgPVoKwoAfPgWzqA9n3vcfIm3tFzzTdu3NDZs2cnnCBjuorobgzf/6Tf76tYLGpnZ8eA\njTdQbMzz941MYQRYEyI0H71Jb+1WSZ5iYWFBZ86c0fb2tiqVip3+RGKXFt28PhqN2klTcNgYGEkG\npGiJgNOWJufdG2p4e593AqCgH6B8nAPXw+f5qiJpXGHDZ/h5isfjOn/+vB1+4hG8T0z76jO/Ixwd\nhFbyXTvRaWzANJXqq3ugYKBvB4OB5T7YrLi3t6f9/X3bHe3Lg0lWc40+8n5XVd34DUBcPEiDWmJP\nIbBQVMx8+9vf1urqqk6cOKFQKKTHH39cv//7v28hFgsZCoV07NgxM3zesNDzm+ZN8IQImueBI5GI\narWa+v2+tUhIpVKWZGG3o6SJxBlJJL8piQQuPG6lUrFNQTgV6pYJSTF2oPBEImH5B6/gGF5QCq+n\nxTKlYH63ry8hg5KRJo2lTyzzWs81kuPA+fmwXDqsROj3+zpz5oyVyrIeKBMhOgl3r3DkZ+jL/53v\nfEcXL160CgyvBF7h7sZIpVJ21ikVJ3NzcwqFQnrggQcUBIH29vYUiUTs8PmDgwPb7AOaY528gaOi\nBJTKXhGMEuty33336cKFC3rwwQf14osv6vLly9rf37eyYElWC8/cxmIxOyC83W5re3vbjDLVKeFw\nWBsbG1peXpY02X0T+ZDGOkCb4/39/Qlg50sXfekx7/WAgGiZ0tPV1VW99tprE1GbN+7Qh1BNngr2\nUbDPR01Tl+TnPH0EIPLHnvrr9gCOe/WtIKTx2dVLS0vKZDI6d+6cOp2Orl27pldffdX2Jvgcho9W\n33WIHnTnK17gB1F4whafZEIoIpGIrl+/ritXrujBBx/Uxz72MV24cEG/9Vu/ZR0sqZKhPzZJMml8\nuDGhsy8vJCnEjkQSrAiR78nD53p0jlFEiH1ykmQWfHYul9PW1pYlnrhnNiml02njRX3JnI9O2Dou\nyY51w8ijwITzoOBGo6FyuWwdPzEQ3kB6HpyQFmRF5QLIk0S279OC04lEDrtZ5nI529FJhYlPTNPC\nAU6eeY/H43YYDEAgFArpBz/4gR555BFzoITR08r1Tg8Syz7vQkO4Vqul1dVVHTt2zOa7UCjYoR6c\nh+oriObm5qyUFqUfDofa3NzU2tqaGZeZmRlJh4br9OnTOnXqlAaDgW7evKnd3V2dOHFC3W7X0CJ5\nMY+aM5mMtra2dHBwYFEy6ws1CY1z/PhxQ53ore9zQxkp5ZMAEvSbyhtpXI7riyOmKSh0I51Oa3l5\nWevr68pkMjp//rwdnSnJaFfkCnDn0T22B53LZrP2mkqlMnFUImibjp0AJB/F46BZbx7jmgE0yCXt\nGbBRZ8+e1XA41O7urgEmAKavcmOO7mTcPQ1wAyPiQ37fwwSu2W9eYIGgHhAc+qOcPXvWvC3lSX6X\nHgYEI41BYpDYgjMHVbNAfiMEoRzonFAWBwJdhOHy9w1yl/SW+yHk9SE7zsRn9kFP3AcGE2fI/RLm\n4zB4Hzsopzl2oif+Rvi5JtYKg841+znhOny1An1voKBQdM9psu7SJL3BPGLsksmkRTJbW1sWcvta\n6buJ6D1yJcdAIvLFF1/UtWvXLMLBwNHXCCPMOhPdtVotC/V3d3dVKpUs/wQ1yJzhDFOplHZ3dy3y\nI8dRLpftfegU6x4KHR4eIskq0JLJpJX2EZlGo1Ftb2+bbPhySiIAIgO/Hp5CRb6lMR/u+X4fEfro\njtxTKHTYmLBYLE7klwA+VLR42fUontezt8MjaP7nMSIr5Jn3gPSRWx9NoCPTdkYaNwn01VL33Xef\nOVRyivyPDfNz9OPGPWHoWWC/uxFkxjF/GHefjJXGW4FxFo1GQ9/4xjfUarX0L//lvzRu0W/agZLB\nS1PTXi6XDRUj0ITQGGCSoigdRhr+TZKhZYTbJ1CorpHGCVS40lAoZJvAQLAYMbhxXg8lBYXFD8jQ\nOy8+my3UGEiQ/61btzQzM2PcPOGyN/SgFI/QQRP0G0LwSeixPhhyoiRKCqcRCdEGa42ievqNGuzh\ncHyGKEpw+fJl/cmf/IkpB0bobg6qwrwhiMViWlxcVLVa1de//nU988wz+pM/+RNdv35dtVpNsdjh\necf+vAP6y9y8eVMbGxtaW1vT1taW1tfXrfc6/V38dxEx7uzsaG1tTaPRyA6f2dvbsz461WrV1pqc\nEEH9gJcAACAASURBVJEIyBUAUigUzFETXUkygwrQ8UlK6ZCyo/Z92ugR6ZDcRK4BBd6oUrbZbrdV\nqVSseIJqIR8xgIhxNl4XAARQnVCsnjL0FTg4FeSLHe/oI3sJMMCegQCJozfIJpEMugWVFQSBnnzy\nSdudi4zTI8mD3jsZ9wR1A++F0kpj2oGyS8J+Nk8MBgPrwIdjIAwsl8v60z/9U33kIx/R0tKSrl69\nKklWggh6AR0iQJubmzpz5owl/hYWFqw2GL6aDR2zs7OGuChbxGlAMYAEqDohYYxggUyhdDCKlUrF\nkl3SGE23221lMhmjPXyG31fAgOgw1lA2UCSzs7PWdz4cDuv06dNGrUjjftw4SITWI+PpKgecoO8H\nwsAJY3x8MpY1CILANuJ4Q+A5TiI75gQlSafTFuKzm5YojiTY3RpsnGEwV7OzswZSSGqyuQZDL0kb\nGxvW+IrSzHA4bFU7nob0lCKbyeDPt7e3tbe3Z/MIHYJzff7553XmzBmFQiEzoswnm4DQMWmclI9E\nItra2rIjOVdWVrS6uqogCPTKK69MtPeGUrp586bNB2XGq6urKpVKtl4gcZw6IApaz8sfBRcPPPCA\nGo2G6axnCDw4/IvkGZ1FRkkQE5WC3ImQ/WdOJ4f5Dq4Tx+WdDJ/ho1lJ1kfrzJkzOn36tD7zmc9Y\n51hv2KGa7mTcE4jel+9x4/1+X/l83sIfFgaOzHOUPvuMF+10Otre3tbjjz9udALG0nOm0AeEVpQ1\nYZjx2tP9KOCapXF/fEl2sLi/HmkcxuKYPNLh+vgfBOF3HvoEtUfcvgKFCIDf7KIEDVC5w3tBN5Tc\n+etG+LwQ+ppmadwlEuFnnfy9eIH3FBjCThkcpYGeqgBFsfY4WhwZ3+HnLRqN6oUXXrBrB2HerYEi\ncg3MDfI0nQdptVq6deuWOb3h8LBslyoN/15fbgliZL3RJdAuqB0k6FFrp3N41u8rr7xiCV5ObOr3\n+xN7TqAM/E5kSo+DIND999+vvb09Xb58eWJjkjR5DrCPHpDXaePMPgNpchMU8kFxAyXW0xupvAxC\nqaA7zIE3nNPtPviNzKMLXB/rweM+4erzDz6fxf2j07yX72u1WnYfoHwOb+E5HDWfcSfjnjD00AiE\njCC6RqOhmZmZCcROn4dms6nZ2Vnz+D78wpg/99xz+umf/mn95m/+ptXnHhwc2PfRcpWa8kgkopdf\nfllzc3MTm33gxeD8pfFGDCIQXw44Go3ecgIU7/NVIHB+IH/4c9C9X0jCcOgiKB1QMYIEAvFCD6pK\np9OamZmx4/5WVlb0nve8RydPntTi4qJtEJPGRtYjaIwnQizJOMvRaGT1+j5/gtOC10T4/e5Z+GjP\nRYP0pXHDK9CebxObz+dtnQqFggqFgl588UXb2+CV824MkqnMnTeQUIWdTkflclmXL1/WU089pd//\n/d9XuVw21Ed7a8qIkbtMJmOnVEnjktpkMmmJbnoy8T3ToIpKrp2dHT3zzDPWt6ler5tcYXQ8Wvay\nFgSB5ubm9NBDD+nf/Jt/o2eeeUbf/va3rYe9N4Z+XSQZzZFMJvXII4+Y7PMadJn7ovUJgKFQKCif\nz+vRRx81JI5O+fYGyKnXG5KzXAeyLckSptBBPipEnrk3n0vAcaA7zDX6PF0V50speR7g12w2ValU\njK/3lUW8/07zT/cEdTMzM6Pd3V1TBl/hcXBwoBMnTqjVapkx8EKQyWSsQsMbpcHgcOPI1atXFQqF\n9IEPfEBf+9rXbFJnZmYMBQVBYDXqxWJRf/Znf6b7779fMzMztnBssPKcsDTuxU6oDK3U7/ct+0/o\nKh32DmETDT1coDUop4QDxbATUUhjJIZggh5AKoPBYGJnLgi51+tZi2WimEwmY0p+48YNLS8vT7SU\nQFlAngii74FD8pD/PcKAasFQkIiFjhsMBlY3DfWFQsbjcZubYrFobRn4fBQVYMDahEKHR+099dRT\n+rVf+zXVajVzsndj9Pt9yzEgkzhen5OIRCL6zne+Y8lzjNWJEyfMqLGhic1H7BaGlltbW9NwOLR6\nbKppyOvQppvkHxEdOaX77rtPCwsLVv6IowZZ+v0oPhoB0XOdPFcsFu1+Qcvb29v2+p/92Z/V+vq6\n5QGuXr2qfD5v1UA0GcToIn/MGeAnHA5b+xHp0LmyMdGfr0t+CANMbxrWAoA5HA6N+vNcuy+x9Mnu\n6Z436IKv8SdaITpgfdlXQuEEKJ9KG+kwR/Mbv/EbevXVV/XNb37TDLxPfP+4cU8gekJOXxrHTXa7\nXStlglqhft4jCx+m8ZmSdPPmTd24cUPFYtGSniBQ0Ax8cK1WMx50bW3N0L/nwg8ODrSzs2MhJajG\no06y4jgJH57Bk+PQpMleNDgSH0L6TVHMzcHBgTUX89U38IiE7ygmVTY+SqhWq4bSODsXQ+GjCh9q\nY2xBJT70nX6PpAkH4Gk2yi+ZC+bBc53hcNh6pngaibkE7aE0vs0C9+b53bsxSAZCc/HDyV8YBgwq\ncw1iKxaLmpmZUT6fN8oLQAON49eEXa04mFu3bmljY0NbW1tW2MCOY+lwfebn5/X+979fDz/8sK1d\nLBbT3NycZmdnrf692+1aW2UiBOlQJtj16suT/U5qDBzOQDrst7S8vKx6va65uTnVajW1220dP37c\nQI7fLIbM+YggHB532AR8MXfIIoOzdqHIGMiwr1Lz+TRv5L2Bh4HgejDa3nYxP2xCQ4dhFDy1w3V4\nZM+8JZNJPfjggxP7XHwO4MeNewLRU3PuExMYpHQ6rUqloqWlJZXLZSvlkqTFxUXL7LP5YDgc2gRS\nTQOV8tGPflR//ud/bnwiGX22jEvjJHCj0dAf/uEf6mMf+5ih0GKxaEaq2WwaMva8HwJGQpBqFYQP\nTw/KITz3VIZHEtI4QkG4yR8QentkxnfD3wbBYbfNfD5vqIhQ+NatW9b+9Pz58wqFQtrZ2bE2BLQe\nwID7RJQ05uhxrp4fJZdAohkjTvMuT9P5sjXK4Eho45RQhna7bREBCuYdhCTb9UuLhDtVhr+KkUql\ntLGxMVGrXa1W1Ww2lclkFI1GrWUxEVIkErEDSdrtts6dO2flvj5nJI3PCC6VSkZRgNb7/b42Njbs\nvF9aR3BdOONSqaQHH3xQxWLRkPFoNLKDR/r9vsrlsubm5syRYFiHw6H+1t/6W3r55Zf11FNP6Zd/\n+ZftQO7d3V1du3bNDs7B6RaLRVWrVV27dk1ra2taXV3VzMyMVlZWdOzYMUWjUV27ds2QN+tNu4uX\nXnrJojdQOo6yUqlMgDnkIhaL2QEqVPNAAVKeeXBwYJsl0UXWDcrKV8bw+TgPXkfxBZ/FuqJDVIwB\nfDxIQYewgdPJ3mQyae2i/fM/btwThp4SJThMPKAkm7ydnR0tLy9rc3PTjuIDtcCX0fsDowAKhOu/\nePGiHn/8cV27dk2f+9znjJePRqNGl+zs7EyU9z377LM6duyYLl68ONFmAQFg5yN/U69O4pRNVxgm\n8gO+Tp/F9/wk9Es6nbZkGMlMwk/KtAirSbZK4zbMs7OzFpWEQocbxqjt5+/Z2Vlr5ra+vq5Go6FG\no6GHHnpoIvIgtJVk0Q2buTD2oFGUnaoiX1JGSR/K5EvneK0XdI8+ccgk1lA4X8WTy+WMSqAi526N\ndDqtXC6nGzduWJSyu7trp4CxGWdlZcXOky0UCjp58qShYmgIEHI0GtXc3JyOHz8+QcexOSidTmtv\nb09/+Id/qK2tLcsF+E06GA6MzO/8zu8oHA5rZmZGH/vYx6wvDwBkcXFRpVLJwBSGMR6P66mnnjKq\nqF6va319XT/4wQ+UzWZ17tw5bW9v67777lMqldKLL76o5eVlffSjH9WXv/xly6uUSiVVq1VduXJF\n8Xhcy8vL2tra0sWLF9VsNnXt2jXdunVLr7/+uskves41Uo1z6tQpy5nBp/v9LJ52RAaRLRwEv5Ev\nnBTvZ18PeyO8gWbesD/kFnyCF/CG45BkmwEBMLADoVBIe3t7E4UInue/k3FPGHpObfIo1vNVqVRK\ntVpNuVzOuFpflUAo7MsVEYRQKKRCoaDV1VWdOnVKw+Fho6MvfOELksZlYiAeX/+dyWQ0OzurUqmk\nVqtlyILFg/rxnLWvGCGUxul478yikpj02/x9xY6PBEDr5BO8MwMt40SoAOAx+gl55BsEgR3bRgKV\nsN/3jvEhsz+zFePjS0M9zeMVgGjAv9cLKpEO1+j3BPjPCoLDc2zZA+ArJ4hyWKNCoTBRSXE3xsrK\niobDw418zWZzgtqAU0bGs9msRSwk1H3FRzgc1vLyss6cOWM0gz8zmQTeYDDQuXPn9Cu/8iu6ffu2\n5VE2Njb0yiuvGJBh+AqebrerP/qjP9J73/tePfzww9YamkPK19fXLUqjSOL27duGTOPxuG7cuKFE\nIjFxhgB5FE5vevnll1WtVjUzM6NLly7pZ37mZ/Sd73zHjDdAZm9vz3YD++IAdrhK42Q9OkDUSkRI\n9Rl0nzQ+UhG6GMMN7+2ra7Ax01VlPtpE/5FBadx6GADKOuKweY1vkUKZOfQWdoHczPz8/EQb6zsd\n4U9+8pP/f+T3P+q4fPnyJ1F0KBsmDmTH77m5OeVyOdXrdduyDVdFCV+5XJ4wlrOzs3rssccUiUS0\ntramarWqixcv6vXXX7cwGvqF7c3JZFK5XE43b960JCvlXhg7vzkERE2SFMWjqRUGWRo3aOM9GHtp\nsrrFzwPGgXuCqwfhSrL+HoSls7OzRod4tODpIXqAoLhbW1vKZDI6ffq0GVEv7Hw/PdT9enFPOCRf\nM091E7kAECaK43MBHkVJk6V10piuYB4wDPQVTyQSKpfLymazZhRzudy/emekeXI8/fTTn4Q24/rZ\nQIX8QMuxIebkyZNWuutR6AMPPKCHH35YQRBoc3PTUKJ3ZKBNQMb+/r7RJufPn9cTTzyhj3zkI7p6\n9aptHIT28Adw0GhraWnJDkr59Kc/rUceeUTZbNZoIL4LQ3b27FlduXLF9BWqJBKJ6Pbt23ryySe1\nsbGhF198UR/84Ae1ublpHSmJcnF49PnBMLIbF5mWxsUQbGIsFotmMOHPOdyHx2lx0G63raslezxA\n475qx3PxHtSA5onMpkGNdKjrtDbwuRiADDYD54FeeidCsjydTmt1dVUvvviipHHTwX/6T//pj5Xt\newLRw736pkM+6eS5WI5UO3bsmCRNdHfzjcIkGYLs9/t6/fXXJ3Ymzs/P65/9s3+m9fV1/et//a/N\n48/MzFiiZn9/34zbyy+/rNXVVUWjUTNyGGgMKb24MbYocS6XM6XkeYyXr3mWxgcEwz/C7/ueOiAh\nHAeG25dscRoQfD1CWSwWLQLh9bu7u7p06ZKGw6GWlpasmRWf75NFPqHmET+D6hlQO4gqHA7bRhzf\nVA7n7I09eQe/QQrnRyUO6K3X61mlk+f7URpfIXE3BvmYmZkZnT592oxOo9FQrVazhLF33J76Y00e\neugh7e/vW24HaoPoVRrTnFQgIZc8xkHirVZLH//4x1WpVPT0009rb2/PwMnBwYEWFxd1/vx52wDV\n6/V0/Phx9Xo9ff3rX9eHP/xhnTlzxloonDt3TrlcTrlcTqVSSR/+8If11a9+Vaurq1pZWbEzHCKR\niJ599lnFYjFduHBBX/nKV8xxvfLKK3rooYd0+vRpXb9+Xaurq3r99dfNAR07dkyvvfaaRZ/SeJd0\nOHx47GQodNj6e21tzQwoXTnpJZPP5y26PXHihPUW4v7D4bAZYn6IHnyRCE4M2UOveY7XUbUGqPJ5\nGAbyCXfvq+mQCSLYeDyuxcVFo4v9sYo/atwThp5JmVZsbtSX+IFgKcmCg8XoYMjxovxIh73jEQw4\nt1OnTumJJ56wTTZQEUy+97bwzj48w7GANOCuyTHwXDwet+8E+fot1p7y8BU3zIUPNTHy0yEm1TrT\nrWNBJZyNy3N0JSyXy5aspbeJRy8+bCV6gh9n+MTXdAQAeuJ6QTPwp359mR8chEf6OBCP6HxZG9U1\nIMxyuWxUyd0aJO8pbYTS8JSTz81AgQAEIpGIHnnkEWtr7MscAQnQPVQn9ft9VSoV60hJxOAdM6j9\nE5/4hH77t397gjoled9ut1WtVlUoFEzOqdzJ5XJWKHHz5k2l02lzQg888IB+6qd+ygob2H9y/fp1\nDQaHu4B/8IMfaGFhweRzZWVFly5dUrvd1tLSktbX1w0AkNhMJpOan583kEEkgD6xaYo5AhmD2KGR\nksmkms2m3Rf2Ax3zvDlG2ueMwuGwgVJkDx3xc+zBFNQQgNXrO5+LjmET/OtwNNzXdH+gHzfuCUMP\nLcJkI6zUXjPZVI1Am6AgUAJf+9rXtL6+bkqVTqf18Y9/XAsLCxaiYXAx6L1eTydOnNDq6qquX7+u\nl156ySgXOGn40RdeeEF//a//dTs5h2QZ14MDoAdIJpOxxUUgYrGYOQxP2+DkPHqHFsHBIUwYA0kT\nfB4CQkUFHt93sOz3+7p27ZoZnVDosHHV8vKyJay8s2O+fbWA3wzGa0Ae9LCBQqAmmOSoJIt2fAUD\nc4CD5LM93YWjY9v/3t6eVUz0er2JVtCZTEa3b9+eOJHsboxLly7ZObnIzdramrWjlsZ5Burh/T4D\nzkeArvQ9jnB4pVJJ+/v7ljcaDAaWa8GoQY3Q1AyqaH19XZ/4xCf0uc99Trdu3VIQBPrbf/tv69q1\na0bpsUN8bm7OSjV98zScLIbu8uXLdsgJhndra8tkBOPUbDb1wx/+UDMzM9rY2NBgMNCjjz5qDsFv\nQqTUGZ2YmZnRN77xDT355JO6fv261eyTvN7f3zdQRg+dpaUlS1qfPn3a7gPwd3BwYOXbyBTAg7n2\nB5NImqCIsEXIvc+HAVjQC4Cor55Br2ENpHF1lHcAksyO+VzLjxr3hKGHBsGogBgxJv5mPEfG4nz6\n05+2xV9dXbXNTfV6XU899ZQ++9nP6td//df1d/7O35nwytAWJ06cUDgc1pkzZ3Tx4kW98MILunz5\nsvb29iSN6/wl6fnnn9cHPvABow6oepFkiRQMEUePkVwDYfj/fcWJrx3Hm6O8zIEXnmg0qkqlYh02\nERbCOT6TqCSZTOr27dtG9YA82GUJMvHcuD90grVBIKFnPP2C0eLe2u22dnZ2lM/nJ3hMjDifB4Jn\nHj1Pmk6nLWEfDoet26Nvu1AoFFSr1RQEgSk5fW/8nL3TY3d3V7lczhDerVu3dPv2bXPE0qFMs8M7\nlUpZ6wBJet/73qe9vT2jJ6mmIkLyScRGo2HIOggClctlOwEKQ0NiVZJVmnU6Hf3SL/2Scrmcfud3\nfsf2qJw4ccJOb6OlcjabNefDQfSPP/64USw4XmiiUOjwLGgMIDIaDoe1urqqpaUl3b59W8ViUalU\nSleuXNH8/Lzm5+f1wgsvmPMACL366qtaXFzU9evX9Z73vEcbGxsT+ke0lM1mNRgctlquVCpmjFOp\nlFZWVqwnE8i8Wq2a7PqqGHQDEIMBxuF4cCqNGQAPgBge7XNfAENArHTIVuBkuaZGo2F2Bbknwr2T\ncU9smKKPA/Ww0B9MDJOzvr5u4Xir9f9R96Yxkp7V2f9VVb1XV1VXd1f1vs4+9gwzE9tjxgQRHGIH\nMBESUQKxskCURGT7EqJI4QOJ+BIpEUkUCWVRRIKCokAgGAmIAYOxCbEHb5ixp2fGM72v1VVd1XvX\n9n6o93fqPAV5PfnrDz080sjjnq6nnue+z32W61znnB09//zz+su//Euz1rFYzJQeHjy0x0984hOG\nZ7IxGxsbmpubs657RBYXLlzQQw89pLvvvttwdg4aNC6UEwaH58ayo0wxXmwMF0LE5z2DgIPgE5Ao\nOf6LQHl6piTzbMkdYCx8+E1RFkKDYDcKIJAKP0cB8678G4wHhF6qGaRCoaBMJqN4PK62trZArYPP\nJ0j16kE8Hi6MFUVdDMfAsNFbiHfxlaWsqU9Y/6gvHyHt7e1pYWFBUr0hFU4Hewotr62tzSpISayS\n0MYjBwYBQybRx96WyzV+ve/HDixIK2QorUQBv/Irv2LQH/dEmcRiMfX395vMtbS0aHx8XN/61rf0\n+OOPK5vNWuuRZ555xuAzztDu7q4uXbpk85nHxsZ09epVa2myurpqhhpFW6lUNDg4aN0tBwYGAhWx\nuVzOjAjMOM4nRgUZSyaT1qV1bW3Ncno+z+SfNRyuFax1dnYGoFxYcz5xyn2IULmfL3L0iXNkmnwS\nEZYf6+kZZ5w/zqBvLXE71x3h0dOaFazNK7RKpaJPf/rTmpqaUiwWMy8bYYxEIjZfNJVK2fAQoAAy\n7IlEQh/4wAf0D//wD0Zru3LlisE5KGE84IGBAT344IOS6pPhUb4YGp7TM068EvMJZd8pUJIJCfih\nT9QAGeGJeUYOf5fqHoKnLvJ74JiMp8NLAD7xmH5fX1/AUBCWo/RDoZAV63iBlmqGCfYTYS6eKwVt\n/D57wgEjWkBpZ7NZo46yLlDlwOa7u7slyX6GIiSJ5WEwahCY9nUYV0tLi/L5vCQpk8nYO0vB3jQk\n9kKhkHW2jMViunHjhhVWobSq1apBXJVKxSASqU5A6OzsNEZZNBpVb2+vVlZWTCZZb2ClUChk8nD6\n9GmbCQtFdW9vT29605t0+fJlbWxsKBKJGGuFgSTT09O6evWqnYHFxUWNjIxobGxMbW1tmpmZUSaT\n0cjIiPH/29radPr0aT3zzDO2n5FIRDdv3rSohwI/EpJDQ0PWi394eNhwfmBWmDd9fX2am5szWaAw\nbXZ2VqOjo/Z9Hm6EAsp+ZLNZMxwedvLV2jiA/N0TC6R65S3GWZLBpN4Q+PyAvxd/39nZsQFBGKTb\n9ejvCEWPogLP9lbyy1/+svW72d3d1cTEhMrlsjKZjFl9Eou3bt3S6dOnTblHo1H19PSoUCgYTv+H\nf/iH+pmf+Rk9/PDDam9v15kzZwLeus+igz3yLJ4ymcvlbBN8eTSQBd6EhyU87OSLsrwB8cJDRMCm\nAn1I9SQRRoV1JFrx3gxKA+/SJ3qYUSvJPEeUNgKKwSAc5QIzh1fNKLtUKqXBwUFjfyD4GDeff/DV\nr+l02jBLqKAoQtaAf+fzvp0EBwa4C2PL/Q/jIjEKk4s9wRj7wRIf/OAHtbS0FHgXPkdtA2eE9sEo\nHKm+f5KsT4xnOzGW09NkWU8MZSKR0MLCgjo6OtTU1KSXX35ZoVBIIyMj6uzs1KlTp/Tiiy/augPp\nYWShchaLtaZ5FEJduHBBHR0dunr1qs6ePavd3V09+eSTKpVKunbtmvXugWSRz+cNIrpy5YrBG5lM\nxqClWCymEydOaHd3V2trayoUCsrn8+ru7lYqlVK5XLZCtJGREWuyNjk5aclZHCci8aGhIUUitSJL\nvoczC3NNCs6q9RE1++vxdCIOIl5/T89mwzDgwLK+5Bra29s1NzcXyFne7nVHQDe8ZOOBLJfLunLl\nilpaauPDaDLW0tKioaEhOyypVMp4xzRHk2Twhc+yd3V16Stf+YoKhYLhxniHPItU3xxfgcp/W1pa\nNDg4aIkdn1WX6p0fuRcKDqXsvWL+S3TAeyN49ABi832iB0WIMfHJGc8c4nc8BRFurm/CRijJc0kK\nhIxeyfsKwUqlxqtfW1vT4OCgeeONTALe37N4UPoUkgAXeVnwe4MHxrpjlPD88YI6OzsD4f9hXY3D\nsLl81BcK1UYIZrPZgKxgdGkMxiQozoAU7PUi1Q2Ch9ekYEtpSQHqMp4ze7a3t6dcLqeDgwODN594\n4gkzADxDsVjU8vKyJeebmmpzb1H0VIrTWI0aASibeMnt7e1W+0J7D3JuxWJR4+PjKhQK5l2jD2Kx\nmObn5229qPQmB5HP57W+vq7JyUmLSrq6uiTJ6M44dx0dHUomk2pubjYaK+fCK2Q8dy+jnoHnGV7o\nBN/lE6SCvJ83EsDHwKPINkVw1C5wH28cXu+6Izz6TCajVCplAoNHu7+/r6WlJcXjcYNUSGxhfavV\nqnWETCaT1vK1q6vLOv5xv0qlorGxMR0cHOjP/uzP9P73v98YOmC8bEKj140C9FFEZ2encrmceTPN\nzc3WggCKF/cg9PasmUZ6Fpl0lJ/H1D1Gj4B5BQ82zb/h6ZHM9EqPRLdvs8qUHE/13N/ft8Mq1Qs0\n2KPm5mZNTU3Z/k1MTFjPcx/h8DnwfIwVB9t76B7z39zctP1AUW1tbRmU4RtTYYS5LzDExsaGwT2H\ncdFHnmjLH3RK3CuVij70oQ9ZjyEmRnkaLNg1RnFoaMiKiVpaWmyPt7a27DuJkoF1MI4Ye/rEeMw7\nk8locHDQ1r+7u1uRSK1+4dlnn7XnRqHNz8/rwoULGhkZ0dramqrVqs6fP694PK5nnnnGerp89atf\nVSKR0O///u8rm83q+PHj2t3d1bVr1zQ3N6f7779ft27dUqlUay744IMPamFhIVAPAGNofX3dIuSx\nsTGVy2WtrKxoeHjYBrBnMhklEglFo1HNzs5qb29PJ0+eVD6fDxhdICGiSBL4PvqVZFErUT7r5WnG\nnHlJARmXZHk7b/T5HNXHyIXH3j1l+Ac5w7d7hQ4zrOX667/+6yqKIR6PW8Z8ampKzzzzjFpbWxWL\nxQI8VTxSCqjoHYLyL5VKNkUJmibKDRhgbW1Nv/iLvyip7v1fvXrVmnlxCFB0hHl4x3D2yRswKIVN\n9cwaogyPufEePuwDtyWBh0LFGESjUfOG8H7xZn2GHoPCM/N7QDKeahoKhczz5D095o0hwXtobW3V\n1atXlc1mNTk5qd7eXlPszANoHDSOIQNP5fn9/3N4MHY+oerzBd5w4Hl5zDIcDlt/mIsXL2poaEhH\njx49lMGxnZ2dVQ/PeWMWj8fV3Nysc+fO6Z3vfKcxOqT6QByckLa2NtvjUCik1dVVm9UQi8W0vr5u\nxs+3PmZPGw0t++U52y0tLTbdDO771taWYrGYCoWClpeXLRLxIy69s9KY2CTqBZIJhUKamJhQzp7y\negAAIABJREFUNpvV+vq6Lly4oEwmo2q1qkcffVRf+MIX1N/fr0wmo4GBAU1NTRlzxkeQBwcHevnl\nl/WzP/uzVtiIXLS3txvUm8lkbJYsSV+pxjiKxWKqVCqanp42soR/fqLY5uZmo2DinDQ2JQPCavSw\nPbTjvX2cMp+s5wygL3BWOLerq6vKZrPm2eP8fPvb335d2b4joJt4PG5CDJ6ZyWT05JNPKhKJaH5+\nXvv7++ru7raXR7AoeU8mk/YzPNf9/X3z+lAA0NPA1T/96U9bJHHt2jXjBqOEfMKEbDeJGloODAwM\nKBqNWlc5qd6e1x9uHyZ71o5nBnAAOZBsvFRvS+uz7giQrz9ASXAhaF4oMUh8Bq8zHA4HZl82hvyR\nSEQzMzOB5HcjKweWDfAB68BB94fK9wABJvPCz2foFsp38byExnhQDJPJZrPmzd9uePvDuryBQpbC\n4VpbiHe+85169NFHLSfBGsMcI7mcz+cDyX9aWuzu7lrPpMach1d+Un0qkl8/fpd/k+qtBjCkPhGP\nY9KISSO3rHVjzkmqD+aYmprS6OiosWlWV1c1OjpqvXG6u7u1s7Ojrq4uXbp0yRR8a2ur+vv71dvb\nq6am4IS3UKjGaurt7Q3ARkBAtCNHmaZSKe3s7GhlZcUMB+eUcxGNRtXd3W3Vtfl83vSTT6iTK+K9\nPd3Sz3f1pA2iWI/1+0jd4/hEVOQ//O/erqN+R0A38/Pz6uvrM+5osVjUZz/7WTv8x44ds0EU6XTa\nuNQsMF4NMI0kC/fxDsnYS7I+OUNDQ6pUKnryySdtPiUMHLxdqlB9NEF4RpVgV1eXtfvl97LZrFKp\nlClYn5VvhIhQkHhaeOEceBQzOQkMGoUXDD3xmD6KFuECIsAz8QedcFWqYZdUG3NPsPGpqSltbm7q\n2LFjuuuuuyTVqLHAYlBbvReD0YX94w8csBK/LymA7fOc4XBYvb29gUiKZ6eQhUQZ1ZiNa31YF0oD\n5c6ztLW16bd/+7cVDodthmpra6vy+bwV5QDZ+J5A0Cc7OzstekJZIH90S/SJPmpLpLpy9kwSnotz\nhjGAxcP+ehZUU1OTMWKkYOM5/u4NMk7Qxz/+cf3nf/6n9WM6duyYVlZWtLy8rIceekjr6+vq7u7W\nU089pd7eXnMMotGoOjo6tLy8LEkaHh7W/Py8tre31dHRofPnz2tnZ0evvfaabt68qVwup/Pnz5vR\nam1t1dGjR7W9va3Z2VlDA4hsIC10dXVZxM+kLi6vpHlnT7QgCsBowArzl6dZswecc/SCh4GgqeII\n8b0+Qni9646Abv7mb/6mmkqlTMH867/+q40uq1arGhgYUDKZNGwMtgLeuecKcxBQmLFYzKpU5+fn\njaJHozIsMLgzTdOgQgIB4ElL9Ra5lUrFBlwkk0lVq7X2A0y+4kDQVsAnSvHO/c/YaJgVkixZFQqF\nDP/HGHkrD4vAMwmk+gAPlL5PTgJ5HRwcqFAomKLmoFcqFS0uLlrBy/j4eOAZpqamrIgGJeaTzAgv\npepSnamDAqTtMu8KFRKlJsngnUaGE++HUQbeA/cfGhqyZnZjY2OH4tbHYrEq9D72vbW1Vb/2a79m\nSev29narlAQuQRaA0Tzrg3MAd7xcrvf2D4Vqk528I+QvvGPWEMXM3uHFS3X2BwaENce4o6Qk2bOD\ngXtiAY4CEM6DDz6oe++9V9evXzco5fr16wqHw5qcnNT29raOHz+ubDar1dVVizI7Ozt169YtK3ga\nGxtToVDQ9PS0OUK0Hs/n87rrrrvMSQJWfe211wza4p1wEnd3d61PjlQf++kdSh/VcA9yHZFIJDBs\npNHw4eXz79yLs4COARLDwL/yyit2P3I4OAKVSkXPPPPMjwd04z3knZ0d3bp1y5QTiZ+DgwPLwoPJ\nwS7AWy+VShamIbR4qCgEMD4+A4ZIUySGlcCTZ7O8oEOV8gkWKgN9QtRTHREYoItGqiJCwGf8QQcv\npcrWZ+c5tDynn3DlIZ5GbBuWQqVSG7eWTCbNG+a6evWqbt68qXA4bB0VeW94yn6qD4YEYwUN1jeH\na21tNThgbW1NBwcHRq1DyeOJAvlgHHxivFKpaH19XZFIxIa5g+OSoBwZGQkkvQ7jYg/x1EKhkNEU\nOew02UIm4EwzPnNjY0Obm5umzOnlhDftoSGStz6S8d6nV/JSHSr08IuPBsGkGdfp2VNE33zeUz2l\nej7KdzEtl8t6/PHH9dGPflQPP/ywrl+/bmyZjY0Nff3rX9e5c+eUTqe1vLysGzduGF2SQR4w6Zqa\nah0xY7GY9vf3NTY2pnQ6bbmjarVWUAhaMD8/H+ir1NnZqYGBAXV1dWl+fl5zc3MBCKYxt4JOwXCh\nvH30wme5PJTFuWZvGu8rye7L52ZnZ+1e3INzz17eznVHePQf+9jHqlKNGtnR0WGdJoEmEomEYrGY\nQRIkCul9QY8LPJNoNGoT0/E44CBnMhmrLmShEFYEOZFIqFisDe0g7OU5wArZIE9LI0ymGVRfX5+k\nes8WDprnUaPYYUj4UC4SiVgegP4nePeVSsW4vtwPeqIvjfa4LAYGbjfwSUdHh5aWllQulwMFIiRZ\nvYDznB5D9GvHes/OztpgFRSxJHV3d6u/vz/gQXIh/OyjV1DIKTkDKYhPJhIJu1+xWNRP//RPBxTW\nPffccygefTqdrjLEA3mZnJzUb/7mbxr3G6+dPJKHtjC81WpV/j44LESRREb8jIiTaAh58AlaLvaP\n7/HsKs4ITpCf3ubPHMrNU2WRET/MHUbRwcGBLl68qJ2dHePaEy3iPHV3d2thYUHvete7jMGTTCYt\n0ZrNZk3R8c47OztKp9MGR/3kT/6kpqentbOzY9FTU1OTenp6tLi4aFRKdAARMEaJaN975BgA1leq\n4+8+8YpiLxaL1k2Tz3Oxtj4fyDvR3sHnDiTZWQa6e+qpp15Xtu8IjF6qz1d84okndO7cOSunRslH\nIhGjk4GnS/VhE2yIVMO0EonE94WwCA8bRrjVmDAiIlheXrZeH3Dxy+WyDYnwDBE2TJLR4ho3ybNW\nfDLLPwNGCGVPIyx+H0YLWXmUu+clY0Sq1TrH3B9kaKp4yisrKyqXy4aB5vP5QNMqzwAg/EYwWXM8\nybm5OVM8/f392t7eVl9fnxlNjINfD+8l+YSe/12+ozHy4RACN4XDtUHwKEB/QA7jopWBh67uu+8+\ngyJIRqPkpPpZQCkDYTLkJhQKWXtj3yNFUkCOpPoaepaHV0IY6kYKLZAN8gtmDOQJ7Ihz47HocjnY\nq8rLCc+0t7eny5cvWxQBHMnz/fEf/7H+9m//Vo888og5EQ888IB597lcTk8//bQpYCKKnp4eDQ4O\nKpvNqqenRzMzM5a3SKfTqlaryuVyNoAFxwCHAOeAvIKPKv0f/s0PYfGyigGUZBH2xsaGvSPn298f\n49ra2mr9nKRgohx5xqn6sUrGbm9vq7u7W1NTU9YvndAEbJYRacAjOzs7NqCAqk28IuCXdDqtRCKh\nbDZriR8q7FAqeC0cEPBIcDdJZo19gtIfTK/kuTo7O8379Mkvf2ikOu0RD54N9B0y2XCq4zgMHpLw\nCUcMA73fCVf9rFVJ5sGTkyiXy1paWjIGlK86BUtFiWxsbJiRpdSeYrVIJKKTJ08G8Hy+E6PkvR+/\nNh675N84dDwzCoZ7hkIhazHR19cXaAdx2BErRtyzokZHRy2X4FtEAHMQ0mNoaV1B7kGqc7a9t+yn\nf3GfaDRqdGUaeXF/75Gj3Px/vaFHIZL4Jr+FovcQBjLmIwcPGbI3nuDAc7S0tOjIkSOan5/XkSNH\n9Nxzz+n+++9XU1OTzbTN5/MGu6ysrJg8pFIpjY+Pa35+Xvfee6+y2aytsadSYpQ4F95BA+YNhUKG\nhfs14r84Vl6+2Gepfq6JiNgnePe7u7sBureHcoBVuZd3iHwU/YP0zv903RHQzSc/+clqPp/Xiy++\naJ6yJBuZxSGIx+Pa3d21Ig4EjWZAbApKAMvHRtHuFRzSK2Hwbale4ebb/3Z0dAR6iTOBCuoT/b05\nBFhovGCpHhb7vj5sMjNvU6mUwuGwDagg2YoQ8HPvrXN4/OHyvHr+gMlLMmoe90Hw8BaBDHgXBi+X\nSiWtrKxYH55IJGK016GhIds/FLaHjXhnLq/MJQUaaWHQJVn46w8b2LH3sB544AEzllwctLe97W2H\nAt0cO3asmk6n1d7ebnDKe97zHm1vb9uIObw69pqoEWVMKwmK2oA2JFmESztqmEbIFY4S60AUuLm5\n+X3eqo/60AuRSMT6zHsoBkPEPgC18VwoNJ+PQtkha/4ikuUZksmkzYbOZDImC8eOHdOlS5d048YN\nzc7OWuO3crmsnp4eDQ8Pa2xsTNlsVqVSbdZtJpOx/B+wJusWiUSMQOEdOwgYePlEMe3t7dbCGchY\nCuLyXuH7daMNMusg1fMm0GlpfEf7ZB8toJe8MY9EIvrKV77y4wHdlEolzczMKJ1OW+e6Uqlk1a0I\ndyaTsaRNJBJRT0+PKRQ8zmKxaMqQiECq0QZHR0d169YtYztwGOAq0+AJGhlKx3fSlGRtYD3cQWEL\nno6ndvoQWJI9Gwoctsnx48etd4xvzEbfksHBQa2urhpODpWyET+U6lQ7hi0geAgJmDYj277zne+o\nUqkYnLC1tWXFGa2trabM29rarK83mObg4KB5Jj5xjbeEt+mTrHjhPDPvwLrBDQ+Hw5ak9YaTtSXC\nOnLkSIB54g3NYXavxJjDovAKdGFhIWDcfFKPdgjID8rfF09xRhguggfuCQRSvSmfVK+Ybm5utgaA\nFFlhSP3e8fs+0U404XF/Xz/ioSScBM4aCrUxeQnmjGO2tbVllcA+6Xj16lU9/PDDKpfL1pEVKCib\nzWp8fFyhUMj6zc/PzxtkQuEUIxY9SYDz7Zld7A3//d73vqe5uTlJtcZqtPb2MCznkGplTz0tl2sV\nvIuLi0YYaMwtTU1NSZLpDM/O4/784TO3JYf/a8n9IVx4FWDrvvS+UqlYMyYOLgmhQqFg3opvmMXE\nJBo5geGura3ZwZBkSVsOVEdHh2GLLCQsEUrJseo+hPLzU1FWPqOOVW6EV1DU0EURaIph/AHkD55d\ntVq1ghF/MLHyHEqff+BwwsOHuQKsBW1UkkUPAwMDkmTPA97b19dn7+5bLPjDywHm+3lnnoE1YW8x\nWigqQmjW03uMPvdRLBYtAefX23tDh3URbfrcQi6Xs0S8L9BrVBj8zPf6wVhy8MHv2XsiPCJLqT6K\n0ydaK5WKFWHRwAwKpIdv/OdR/BgRYBz+zUeVnAXWHuXuL/6f7/FQJFEdTgr/RoOvdDqtW7dumcOA\ng9bX12fjAaFRJhIJO2PT09PGWPLOG/vjI3wG2CC309PTtldTU1NqamrS2bNnzQh5hcz7EYns7Ozo\nS1/6UiDHISkA0fiKdq/APWnD6xCg59u57ghFT1VgJFLrYd7W1hbAxaXagRkbGzPvxWNrq6ur6u3t\nVaFQMMWEJ8fhB9+DbnlwcKBMJqNKpWKFWggmIZuHdGjJisJlQ+itgeIC85eCXFneA5ogngKJOppw\nSUG+PYMkJAXCdpQgyThCZX8Y8Ya48FKYONTR0aHh4eGAoZqfnzcDt7q6asoAo+Q9Hj/tiXVpVMBE\nJaylV+7sEwrMrxUwmGeXeM8N77ZQKOjkyZMW5rPu3K8RyvlRX8A2XLlczmo7cBgwSNFo1ApjaB9B\n+12feEbxEZH5JD+OCWuKV+iVGmeHpmlQicH0WWcfVQJbehooigfGilRvG0AClL0jevPzWD0kCazH\n8+bz+UD7Dc5PPp/Xn/7pn+rcuXPWQjmXy2lgYEAjIyPK5XImH6zb/v6+RQhAgH5Kmq+KRd44Wzga\nJHWBrNiDy5cvq6mpSUePHlUqlTJnjL393Oc+Z5Cpzw1wbvz7e6Poo1YPYRJd8E44ra933RGKPpPJ\naGFhwSrS4GiXSiWDU6jqYwMRHARga2vLysFRPI1sh87OTqNOQoGkeyWhZbFYG0VGq1s8LgQDIWDR\nwRXZLA4aChhlT04AjxkuPPgfGXS8pd3dXUmy/uysBcNRSNZSIEWSF6+q8UB5dk6lUtHy8rK2t7c1\nNzdnzdlKpZJGRkaUz+eNwurHN/qqXM+4YI385UN4zw7goKCAiTz8QScxTJLde7vNzc3mvZdKJT3y\nyCMaHR0N1DZIdRomMNhhXb4IRpI5FS0tLWZgoRHjwbLXwFYUIeHdImeQFiikYk+8g4RnjvFD+Xko\nxkcK7ItP3FMIBYSE4sEBQVlhALi3Z/V4hY1M+uiNfeMZMCjAoRit5uZma0WOkXvf+96n559/3qKT\nSCSipaUlzc7Oqre3V9Vq1XovFQoFlctlY2R5/Js//iwCUS4vL1t1NxRrDMPW1pauXLkiSQG42RcC\nerkksU4UxUhP6oU80cDDeTiH7Cl5h9u57ghF7xsjYREJSUkogf9WKhXbJAqmIpGIKcHd3d1AhSTC\n4elP0AVRIvybz6jzncViUfF43LwekllgaAiHVGe+kNTFq/G/65sW4RHjibGBjd6XFCx5RjlwADiw\nHCi8Kg4cBmB7e9sUOJhvb2+vFhYWbPQitL1UKmUeDe/ilYL3fHwiDyWCh+oZA95z5/d5b+/N8d4Y\nTTwpX3gDRDU+Pm4HxWPzHLRGzPhHfZGkZ//vvvturaysqFqtM5nwEL0zg8FHwW5tbRkJgeQhMsS7\nMnvBRzA+Qe8ZId6ookg8/IZzAnzYKEtAcKwtz+sjukZKpb98VNAI3SBb/Nw3vTt//rz1mt/e3tbS\n0pLGx8fteUher62tqbe3V+3t7TbBbmtrK3DeeS7OI7LKO3HmyItg4Fh7fo/uqPTpIfG+ubmphYWF\nQPTK+WxcHx958908H0bOFxGyD7cr23eEokdpEaaSQAyFQublk/gEq8Iqw1lPJpMG5SCIzBmFZeM9\nl0qlVnwUi8UMl8eLpqgDuIKiJDxauLY+046Q+MQj+QYiAo/VExFQE0COAcNFpOEVH5l2PL7G8JI6\nA9aAcJHPeMwXQYtGo0okEqYgMFJra2sql8tGWyRPQQsJjDJeJPvIs3Iw/YU36NkeJN6kOsbJ2mxs\nbNh+dHV16fz580okEmYw+T6UPpEVhhys2mO/P+rLvycN37q7u61OBJoqtRPhcNgcGT4HzOZ/l8pZ\njEhbW5sKhYJ9H4qJFgmeDCDJKMQ+WY0Hi8PDWvqEJ7+HskMB8bzIn/87htnLLxG5FKReehYN8tPV\n1aVz584ZvLSwsBBQclNTU0okElpZWdHe3p519cQgsv8oec6kT8Cy1p5uDVa+srJiSXFJ1rTPR7xN\nTU02phBPHydud3dX//7v/x4wgI25C2Se9fJ5CU+8AEqjn37jGfufrjtC0R8cHCgejxtcUy6XLWFF\nmEoojhcEFWlnZ0cdHR1WYYiyoLskQrO1tWVZeqnuoaL4fBEIXq1UnzeKEsbrAsrhwHDAsLZEIJ4f\nj5Lv7Ow0ZcQm4s2HQiFrcwDNkc8T/hL2hcNhK0SS6sllqGWN3j1rQZEHUBU/Z0QZBqxQKNigatoU\nhMNhra6uKh6Pf99aec8eKAyogQOFcULQ8cS8gkJBAG3s7u7qzJkz5jkR4vqD6hU9UJKn2R7WBeeb\nwRYTExM2AAOFtLS0ZM5JKBQyVphXzqyJp2AC0dGumz1FAXq2DfLiaX8oUyJfH1Eiy1J95CH7UygU\nAh4m6+ujN1/nQdJYktFyPczTmNxFHhKJhI4cOaK+vj6TU2+sGIa+ubmpQqGgN7/5zZqentbq6qqN\nF0XecJpwxHCOfMQXCtXaIuCUlUolzc/Pq6OjwyBUX72OfHsIDL0CaQLyxm/8xm/oc5/7nGZmZgy+\n8U4NMBxr3ujtA/F6ggO64nauO0LRk9TB2kUiNc48ixWLxQLhIh4Ch9wvtiTjqXKgsMZeUDwjwbfs\n9UUpUr2og/BaqoeWfB/8c5K/HvtjQ/gdFBktGLgXwofX0tzcbPis/04P7WC8/CHFk2D4hA8RPXSC\nd7a5uWlNnWAj+O/3xiyTyVjRFkktkqI+BKfvd1dXl1paWoznzdWYeOV9vKIi6Y7gj4yMGNbd+IdI\nid/1zA/W7rAungMPEEhye3tbra21yUY9PT3a2NgwpowfGt8IPaFMMPa+iZ3H8VnbWCxmjC6PFXtv\nn/OD4m9kjqAU+W6vbD106D/Dz/k88ua9f+SGdQKm5SyeOHHCmgp66LVUKimXy1nkg6zOzs7aiE/y\na36QuZ8I55PJPDtYPv+/srKigYEBk2GeoRFWwUB75Y8zQqXr7u6ufuqnfkrf+9739I1vfMN0EfrH\nF035e3snhZwYGD97fjvXHaHomc6+ubmpeDxulax4K/TqwAJ7L9/TlxAQPBzPFPAFEngeeN14tgge\nHrrvwQ3PXqpXqHLYeA6EC8WCMeEwYbkxatBIPXXK0zKlWg8XKKAM+UZxF4tFLSwsqKenxxQkSpQG\nZHS4pNQewwWnGa+HJF4kErFKyt3dXeP5ooT9eiHknvnjGSM+5OezeCP+wHgoB0ocg2Q2Nzc1NDRk\nB95HKI2QDHvlE4C8z2FdHM6uri5rvEbIn8lkrF9JOBxWKpUKRClSffarpIAiBE5DgcOI8lWnkuzs\nEFnhjVarVWNUbW1tGckBZY98Ii/Ilk/EI/tAHI1Gg4gCqJE998bZUzKBTiORiN74xjdaDs6vpe+D\n1dTUZG1JOBvt7e3q6OiwNQWG9clNzr8kc2pQ+D6/duTIEZOh3d1di2SgXCLjyC8OIQbb581ADC5d\nuqTR0VH93d/9XWBfgGF8VOQdG9amXK7PTeY7bue6IxQ9/VUYFNHV1WWCur6+bmMG8YrYWE9zpKI0\nl8sF2iJg8fCMaQmLV8rlWQx+niQteMGz+V6gl1wup97eXgttEXiPT3rWAF63VJ8Kz0GS6h4UP+e5\nQqGQUqlUYDwbHsrm5qZ1auQe3nNi3TCeKJdCoWD5CYzQwcGBstmsJBlOzn3B5n3RE5AQnkmj8kVx\nYcwaE354oL5nDd5oNptVMpnUI488EvCivIcnBadP+e/EyzpMjx62Bwn91dVVY0zxrB6fJQFLdBgK\nhawwECPB+vf09JiBpbskFEn2nkhSqpMF4GujtBvDf4wxcAo/43m90UaZc8782EL+Hc+WfWkkMfhI\nfmhoSCdOnLDcG8Zgfn4+MGKRzxOBI4f0VmJdvZfs2V3k2Lzxk+psODqs8lwMIfHkCI+RI9c0C5Tq\nkWSpVAoM84nH43rXu96lxx9/3KjQUj2HJdVxeu+08Mw8q4fHXu+6IxT98PCwVldXTWjwClgY+O4M\n9+YCsyfUlxSYyiPJFBz9QlCQeNO+VNz3GZEUUFxgkyhkknxUbSLIvtUuQoSyleoDrlGMeEQoJame\nNPLKC+G5cOGC/uu//svegb4+xWIxoOy9sHnaHEp/e3vbjCGFUiSogQygifL+xWLRlAQDWXh3kr2N\noSSHGCElSYoy91PAWH/2rbOzUw8//LB5qj6qYy0b2Tb8nPcl0X9YVyqV0vDwsCVQScz7KKhcrhWe\nMSC7sX5kfX3d3ok8BR4yCpfEP/CjNwjIMFQ+9hW2DtAO3itkiHg8bk0B8VqlOuwjKaCkSLhijH1r\nDQ+nsV/e2MH0Gh8ft+9hSM3S0pLRTVGEPKuPhPk7pA5omj4/0YiBHxwcBBod0hETJU40CPOIMwm8\nhoIHc/cMHuTbFylKsgEokUhEn//8523tOBM+evbQDfLt63RuN/90Ryj61tbaiDAKC/b399XZ2alS\nqWQJRqCR5eVlKx0G/6I9qd8IFC50Qu5JeOepTp7t4vFQlAqeBaEUh4Kwmc/40JmQjL97zK2RmoiR\n8F6cxySl+mGQpLGxMU1NTVmkUS6XVSgUbN4nl1eI/GkMwTmY3vtA0Xd0dARCXgzW3t6e1tbWrD8P\nOH0jpxdly4XSJx/hoxjPrcazmZiYUDqdDry/9wo9noy35vF6vLfDvOhnQ5M71oP80dramtVN+Lmk\nKC8S55VKRfF43JQnMl2pVJRIJKz2wRtvLrxe9hUjwxkgevV5IuTdy7SHErj8eeH+vh0C+8mecc58\nAhclO/5/aZKcS5KWjfALytQbdxQ5hgCHBuoy8uKdKaBZqYYceFYYxg0HhfXjuVHMrJ2XO9YB3QHE\nBWSGXkun0/ZdrBPy6mXZkx38v/nk+utdd4Si9+Fta2urbt26ZfBHb2+vpHoXQLD09fX1ABbO7/nF\nIrz1Sk2qV5xy6FC8/B4QQigUUiKRUKVS4+x7RebDLBSOV2w8L0rVh5IoU9/zA0+vEfPz3hRKPZVK\nqbu7W08//bQlng8ODnT9+nWr0gPu8cmbQqFgXHrPjUaAvdeDEHvjwPvw7nh/DOim0Zski7Qak9TV\nam10IdXP9ORB2Uk1BdHT06N3vetdZuC9ouC58Nh+0KEnF+KTxIdxwaDJ5/OG1aNQGeiNLOKAbG1t\nmWGQpN7eXosg/fQy3o3uoZVKRblcTlKdpQPWCzWYfcarZ23oNMqa0YbDw6UoX29IcLIaWTE+KvdG\nhZ+hhOkSOzY2Foig9/b2lM/nrV0vZwdFiVy1tbUFBg/BypOkgYEBU/Ao22w2q0ikNnOC/BROll8v\nSRahcK55Np+U5f1wKnwSmrPlE+fksLLZrJqbm/XII4/oi1/8oqS6M+OVN2fD50owJji5t3PdEYre\nJ6y2trZsAxKJhNbX141C2dXVpVQqZVaecMj3vAG3IwnnGTFwXBEclAYd5cATURgIL/CP33CfaCSM\nI4mFIsR7kRQwNMAhCAhwjjccbCYCyjtQuBUKhXTPPffo2WefNRyd737llVeM19vR0WGUy62tLd28\nedNyCjA/aCBGkhvh4dkxAKwXCr9SqejIkSPWlQ9ut1QvAmKd8IDgKZNI9AkraGR333233vKWt9jn\neV9Cd9YNRY9x9pxpqoeJ/A7r6urq0vDwsLLZrClyoK729nYVCgXzClEcsDDC4bBxwUlUG2ZhAAAg\nAElEQVTCQk6oVqsGBeGls1++bQKQAgoePJ7IjO8G+vT4PErV/5f98sV6HhLhfPn6BZ+bwWhzvqV6\nA7BqtT5zdXd3VwsLC7a3Xj786EpgL1+lThSC0fNFi/F43L4DuvDOzo4VVnmiAPLmlT8w18bGhukN\nT7qQ6owZ/zmgUM+y29rasglXHvphH/jjoyiv7GlnfjvXHaHoERhwQ6pcaQnc1FSbCAPPVlKAnsji\noKDguqKQUT4IP4oLyxuLxayaFqGWgvNW8ZA5iF7oCec8Foeg8H4eS5YU8AQkmaLy3iqXP0ReSUrS\niRMn9Nprr1m1Jd9RLBa1urpq3ShRKHNzc4pEIkqn0yoWa8O5qUkgpOfd+D5vRFH2rOn6+rqOHz9u\n4+Y8K4AD5Q2ffw/yIkQ2e3t7evjhh82781GNT3p5DJV18uFto/K5XQraD+PySTVPHUZJsI++dbVP\n3Hl8mdYdMK+oCG5ra1M+n7f7e6Psm/ThTLBmXhF7J4Nogb3EAKFwPImBaJJ98tClZ6JhQHgXT5bw\nVe/cw/e04qJBnL8X74bh4XwgI4ODg5a/oFUEhgVWkc8DptPpALvGs2k41+QwMMgYMWSYM4g+4R3Y\na2YCs/4jIyPWoM1DOY3rzr/5SPnHCrphYUkETkxMKJvNqqury1g4CDgv3jiQ2mPEePgkrvb29pRK\npczDxkOU6pbT43scTN8imQpRlF0jnxjFA+vBJ8o8FcsrdhKYUt0bQOjhw/NzlHe1Wu8HzoGdnJxU\nd3e3XnrppYB33NzcbH3lC4WCCoWCzpw5o7a2NmuD65UKSVk8e497e3yws7MzMKYvk8mor6/PYBjW\nFUgHeiX8Z5KE1EmQBH700UcN2mAd/H7wLBiBxkQcv8Phx7jertfzw7hooeHXt1qtmkfNerNeyCiF\nQ83NzQESAJFpT0+P5aVgKknBvAjGllYbfp1QeHwfyX32xsM0HieGicN9fQKeBK6HJomSUVTUDeDR\n+kQwidtSqaS1tTU7783NzTbGE+/dQxd+bRkshLzhdHiWHTAVBre9vd1qRqhYJu/FGfCwTaOx4/x4\nT95TT1k3jBgoBPs5MjKiQqGgfD5vhhPd4CEvn+tobHv9etcdoejxHkhuxuNxw6sjkYg2NzftpbGg\nhK1ce3t7isViymaz1jc9FApZp0YOF8NHJNnvcQA8lsimIcwcMC7uSUjMAQOPo6KTQguMCQbC454I\nM54RCs2Xo/MzBMw3WEP5Xrp0ScViUc8995xmZ2cVDtcGmMTjcV27ds2wQZLbExMTViTFeqPECf8x\nTN5rwaAS4ZAk7+/vt6iKplgcSCKxjo4Oq5M4ODhQLBbT0NCQHShfPMJFyTeHzedEuMChWTcOHwb4\nsK5IpFZNCRyJ3PKurJ8fnBMOh41lEgqFlEwmTXaALJmmhvxICiiCaDRqxrJUKhkjh4EjEA02Nzct\n6c4Z4XelegTFxf7CVScSBwLxiVzqUegxw3oAXXrWDe9Ch9nt7e0AxAnnn59xTlCq/MGw7u/vq7e3\nV4lEwmAyDAADjbwjwdrhgDRG7USkPlHrE8pSXY/5XCAjLr2xCIfDyufzRs8OhUI6f/68nXW+6zOf\n+Uyg1QOOlW+Z4g3O/+u6IxQ9zAIW7u6779aXv/xl6/jIHyZMEfLhmdALZX9/X9Fo1PA4DgPFQzSY\n8knHxhDJl4TzO15ReDy1UqmY9+6n7Ej1XtT/U+IGJY336T1YPu9ZET/Is/ZYNfdpamrShQsXtLu7\nq/X1devDPzMzowsXLljibG9vT6urqxobGzPBp37AY/KeBcL3eooj70a1Lwl1r1zoH+4hNmh9vs8K\n3+upZR6u4HnYD9bLR1asmyTzig5T0fveJzgDy8vLloQlQSfVKYq0xUCxhUI1Oh9MJzBsYALP8gDH\nhjzAOWH/WE946jgvrKuHIb3ccVaIRPBWfZdX9hJmlY8OMHAeRvNwG2eIBKhfDxQx9/I8ep6X7p+s\nTzQaVW9vr9bX1w0fX11dVSKRsASun76FF+0hFYykZ99IdTIHz+d/7p04Dydxb9Ya9MKTH3BMMJTj\n4+PWHtmTDUgu+35Pr3fdEYqeg8/G+Vau9PAIhULWfxkmDd4Jg0kIR1lYsvr0hpaCXFT/MwSJw+IV\nKUoPxYvyZbP4rnw+bwwAvFISPJ6axjNg/aFoAnN4amYj5ZNaAw6H9/A5zM3NzTp16pReeuklG//3\nvve9T0tLS/aMoVBImUxGy8vLSqVSplxoHEeSq9HD9obAH85qtaqlpSUNDg6aoCKMGOwbN25YszSK\nWyTpwQcftMQYUAaKDCVB6Otn6aKMMDQcTP5OKB+LxQzG+1FftOD2dEkKAlk34DOYZx7f7ejosFm8\n7Acy4I0//XSAg4BWSLSj7Aj5JRkE6GtEUEwodeAc4DzkzEOQGAvfSsRTkHk/b7glmfGTZJg8DLyl\npSWLEIA5uTdnhD+lUsneqaWlRQsLC4pGoxa9o2Rpo0GOCljHGxM8cM463896exYXBo0zjXPoIxUM\nNiw+voe6FA8xNjc3q7u724z/L/3SL+nq1av69re/HUhoe5jox6pgCvwc4Wc4A0VNJEWbm5uVSqUk\nyRK0vLz38hBQrLBPcoKX+nDKJ2e5B14QEYT3tKLRaCCiQImDmaGsEBafEAPfZJO8t4+x89xpLLaP\nCFDyfniF74i3s7OjP//zP9fJkyc1MTFhgtrf36/Ozk5985vf1NramgYGBizshn45Pz+v8fFxa+7k\nmQc+hOS5UOLFYlE3btzQ2bNnTcHjNV6+fDmQVGL/2tvbtbOzo8997nOSanDA29/+doMxPFbpvSwp\nWKTF+2PsOdi+VcRhXQzVaWlpUaFQsC6tnpPd3t6uVCplHHmpDgOsrq7q4OBAS0tLxrKgchZsvru7\n2zBusOb19XWjLvoIyTsVnJXd3V3bR84MCtkrbf/cngkl1bu2ss++kryzs1Orq6uSvn+oDueOaXBE\n1N6R8swX7yGTR/JwEUnqaDSqwcFBtbe3G8uMtcB4Li0tSarNCKCGgcp5miLm8/mA0+ANFmcZ2eRc\nQKvk/9E1rFVnZ6c5QHwOWaBgizzB8PCwdWz1eT8fUd/OdUcoenrHeKvnx60hPP4FCXlQ6D7xQdiI\nEtvc3DTIxsNENAZCqbJofB/YIGG253x7Foo/tHgctICFGcAzeyaBV5wID16RxyB5Jg6oNxCeaYGS\naG5uNriE9wO2olCjWKy1X+3r6zPqKlhyJpOxhmm+7LsxMcX345W0trZqenpao6OjOjg40Pz8vFXt\nIvge4/SFYtzvi1/8ovr7+3X8+HHDXAuFguUk1tbWdOLECUk1BY7H6dfEXyiow7pQ2BsbG0omk6aw\ngBVpy4tjgIxRSl8u19sINzc3Gw98d3c3MNIyk8loYmLC+sejmKR6ngCeuU+mEkVhNMDekbft7W11\nd3cHZjL72Qke2uFqhGjo58T78e5NTU2mrDEoMIrwlPm5FCyu8lAYOTLWiGfAoz9x4oTlCqLRqKLR\nqEZGRnTmzBnt7+9rfX3dak1aWlqs7z9KmnwS55Xv5ex7nv8Pemaemz9Mk6tUKkZrRd/gueM4Fou1\nMZkrKysBiJl7/1gpeqy2xwul2mYShqEgvTdNEQqJn2KxaG0NpHprYRqD0aPbK3YWFwXqQ9xYLKZ0\nOm1ehE/+eQiGJkYoYg/7NIa93kPn/723BN7uPRkp2LUQgdva2rIkVW9vrym7GzduKB6Pq1wuW20C\n3jWFGqFQSBMTE7bGQBzRaNSUflNTk7LZrCWAwNRJsOL54YEcHBzolVde0fPPP6/JyUkVCgXzXohu\neBcUPM+FYeP+i4uLATYH0V6hUNDzzz+voaEhUxreMOJt+gT7YXr0pVJJ09PTOn/+vDY3N817pYEZ\n0By95mkxLdUN6/b2tnmkJDgbk+Ojo6PK5XJmQH0tBrAn92RtpHqie29vz8ZW7u3tGZTj++b4SFmq\nF6ZJ9T31VbFEg9FoVMePHzfYjp49sFxQaqurq4GkPA5UY/KdvAXQDZRV1iUWi5m3vLe3p8uXL1u0\n0dnZqVgsptdee83OXGtrq40l7Ovrs0iCM7y7u6vFxUXLE+GgYAyI5H0SFqaZp7Iio5IsEgWN8LkA\n3hHoamRkRLOzs98H1TTST/9f1x2h6D21EQVTrVbNq29kI/A7LGR3d7dKpZJNZYfexd/x7kOhkPWt\nxyOPRCJGdYpEav1VvJB5XM5n130I56lUeE7VatX4yJ5R0eihRyKRAPMGr577EoGgVFGor732mr75\nzW/q5MmTGhsb02c+8xndc889euqpp8xrR1nS5Mkn5C5evKjLly+ru7tbQ0ND5i2vr69rfHzcBNBj\n2zwrXiH5FHBfz333HokPO4nMpGCvGvB3zwCRZF6lp/qVSiVdu3ZNk5OTdn+fyPVJa9bzsK7R0VHz\nwkdGRnTjxg319vaasqWls49KSYwD8wDZEO6TWIxGo+rp6ZFUq2fw9ELWAryZvQAzb25utkE1pVLJ\njO7e3p5yuZwpat8Sl4gR+itOiqRAngSFR+QmyZQoHPLGCB2qKN4xjDjew3vynClk1FNWgQzRCzB4\n9vb2NDAwYNO7PNRXrVa1vLyscrms69evK5FIWG4tkUioo6NDJ0+etOebmZmxCAejyDtyLhrRAa/E\nSZKjg3yjRC6cRv5+7tw5rays6JVXXvm+fOPtXHeMokex8vfR0VFdvXpVxWJtfizWy4dHfLZcLlsC\nlzALjxFhRZCJGjy2hmBJdSvJxuCRN3ouKBw2iwMKz9gXbXhurRTsAcJm+gSLh0f8e4NbVyoVTUxM\n6FOf+pTe8Y536JlnnjEPh+lFa2tr6urqUn9/v62ZVMuHNDU1aW5uThcuXFAmkzFFQPJucXFRyWTS\nDA+emf8v+3VwcBCYuYvx9NEMgs+6sgc/yAvCYIA5+4ZYngWC0fYDtllbZIP98QfoR33t7OwokUho\naWlJY2NjgSQ1I+5gb+3s7JiHDTwDf9z3SaGimfYcUGEbcxKeEYJyhDfOfvi+5v55PIzQuH6+2Iio\nCYWGvDRGzMi+Z+b4lgkoSai7jc6ALyjzMBcK0lcGS3XoJp1OW7tyOny2tbVZNF2tVg0yRl9sbGwY\nxLa6uqpQKKTV1VWNjIyoo6NDJ06c0MrKisGfvgWzr6z358T/XaozeqQ6ouEVO8aXCK2pqUn9/f26\nfv26UW//N3J9Ryh6kicISVNTk+677z698MILNlkd+IAF8QkaKI6SAnxrP5LQ0/JYJBSo52dL9WZm\nUpCdg+JC0PwGIdSEXKFQyDwSqY6T8yxgrz5q4P6SLCK4fPmyJZR8OX+xWNQf/MEfaH19XY888oge\ne+wxRSIRPfDAA8rlcpqdnbVkqj90BwcH1t42HA5rcHBQTz/9tMbHx9XR0WEU1lKppCtXrmhwcNAm\nIfHHF0tRqYii9wlXzzRh3b3CRwmzFvDtMZKsm1fcPnReWVnRyMhIwJD5JDYY8GF2r5RkSbwnnnhC\nx44ds0QxLQA2NzeVz+etnoF8C0NI8BLL5VofHIaJIAtQEnt7ewN5C6lemYtTgTdPV0oYOwyq8dPH\nOCdEx0RdVFtLdVYY+wWM4bn4YNkYfZ/g903afCKaKli+l/cgmpAUgG+QJWAcZCqTyWhgYMDaDOPR\nE32Ql8Bp8S0agFCJKknejoyMKB6Pa2try7qTVqtVZbNZraysmML2EbyvMEZ38K6snadLog8kmSEK\nh8O6//779dWvftV02+0q+ztC0ZMA8XhrOp22TD4KHcGmKAkogdF2KFo8GSbFl8tlC33x+OjFLtX7\nV/gkkt8Mr3S8giYcxmMnYy8pMF6Q+3mPHUHyyUm8Fc8j/tjHPqY/+qM/0ne/+13F43H19/crHo/r\nn//5n7W1taW3vOUt5s28/PLLKpVKOn36tK3Pq6++qrvvvtvYD7Ozs6pWqzpy5Ihu3Lihvb099ff3\na3FxUcViUUeOHLHEdU9Pj/b3962F9PDwsLETPMUO78R7z/DqJVlkgMLyirkRVkEZ+KSqVzz7+/u2\nj7u7u3r11Vc1MTFhFFvuSfTGvh/Wtbu7q1wup+XlZVWrVb397W/XwsKCksmkdnd37Vk3NzfV29tr\nXiT5FbBlSAWDg4Pm+QPlNTU1WY4G2UEhFotFdXV1aXV11WooKGDCIVlfX7dkI44B8tjT02NKnSh5\ndXXV1hfYyScGkXUUJjg455b7kDto7LtDzo3oDqXvc19SXUkSZeIB5/N5m7w2MjJinSl90eXp06fV\n29urra0t3bp1y+btIlvRaFSFQsH0B99XLpc1PT2tSCRirc+hMAMRU9BE/ydf9IQce9gFqJmxoaFQ\nrUgul8tZ9IeRj0ajuu+++/T888+bTN3OdXgxrbvwjH3yqLOzU6dOnTKrhSfimSfgb9vb29rY2NDW\n1pYpTzj4YJwIHcIE3IBy9awNn7mX6olQr7QxQJ4aCXPBe0MobsJhcHvui+JDGLDkjz/+uD760Y/q\n4Ycf1rVr11QoFGxA9De+8Q2dO3dOqVRKy8vLunHjhrq7u5VKpRSLxUw4SCotLi4aXXV8fFzpdFq5\nXE6Tk5OqVmtc7b6+PsViMc3Pz5tBZR/6+/vV1dWlhYUFzc/PmzLxUZH31jmM3mvy3gyfleoVjvwM\n7xF58Pdt9I743MzMTOAeHFiP2R/WhYdWKBS0s7NjSoIcBlFWd3e3isWitYigF4z3QJPJpEEbeOeQ\nEDAYRL6SrMaB5CezC+Bpe7ZXI4RIzgiZ5bygWDDqXslzTvxZkYKzEXwuBcgUdh1G2bc28MQJFD8w\nDxFzI0QKrFcu12ZPJ5NJtbe3WzsQSbp69apu3rypcDis0dHRwBQy4GIiQZ4B5w+KaiaTMSUvKTCw\nZG1tzejhiUQiMKcCyAvD4SvQiVrX19dtz9hDoDHaJnj45/Wu0O1ahB/mtbOzU+UlWFCpluj4i7/4\niwDuur+/r0QiYbg7igDh4XCQ4MAb4J70ykARchCBSqBFshkocTC8SiXYFIlMPJtGy1kOMRvHu3Fw\nG+ENqT7tvVqt6nd+53f00EMP6dixY7px44bGx8fV3t6u559/Xuvr6+rp6dHo6KiGh4eVyWSM97u9\nva35+XlNTk4GipXAgF944QV1dHToDW94g2ZnZ5VMJvXCCy8YxHFwcKC5uTlFo1ENDAwYFcx76zs7\nO9rY2FBTU5MZF694CdWJiMCRUQa+stFDa/y7x4el4FALLyM+WR2NRjU6OqpQqMa/jsVits/hcFgX\nL148FG3/4Q9/uLq6umqFS01NTXr/+99v1Do6U0qyyKm3tzeQ64BTjczgAcLWwIOGcZLJZGxt9/b2\nrKsokA7tKKhW9V4miiMejysejxukA9GBSnOagAGTcV5Q9FK9/5NPvPJvvj4Cw+2rU1taWkz2iI5b\nW1utAZ+Xj/8pRyPJIh2pzmQBGuJqaWnRiRMnFIvFdP36da2vr0uqw17hcFjb29sGR3n5rlar1s6Z\nnAE6AsgFY+qdEPQRLD/WER3D9xAZY0RisZgZyX/6p3/S3t6ebt269bqyHfnIRz7y/0V+/3+99vf3\nP9LIcsEju/vuu7W+vq6XXnrJDi8Uw2q13tvcCyILhXcLU8SHlzRFk+q8X58Ulur8ds/qQFnv7u7a\nOD6v9BlpSDb9/75foCSc7/OKDY+G737kkUeMw1wsFnX69GnduHFD169f19vf/nYtLi5qYmJC//3f\n/63l5WX19fWZIBWLRePNj4+P6+WXXzZFMTQ0ZBj31NSUyuVaUQb9/WFHRKNRzczMmFDzb5FIragk\nmUzabFha6eJtNCZAeT/PNfYJPJKu3oMnwmI98KQw7t5TJ88SCoWsBYM3JpFIRMPDw3/yo5Hm4PXJ\nT37yIz09PYpGoxZVvfbaazp9+rTK5bLGxsa0tbVlnmdfX1/Au0MuyM/gRJCwlWQ4fktLi1UTDw8P\nKxqN6rHHHtPGxkagVQcyB9XQUzbxslEywAj0jyGS4Jx5hpM30BhYjJv0/Tx4vg+IrVKpNyuEzeV7\nXpHLQz8gH8gE/WyISFGwnv4IzAlMjCwuLy/r1q1bisfjOnLkiMLhsDKZjJ0lZI41551LpZK1gSDq\n4d99Xx6cPu+8EBn39PRYPg0DzhpSxc75I9KqVqt65ZVXVC6X9Xu/93uvK9t3BHQj1a0ym4qX0dra\nqne84x169NFHrUzaZ+ITiYTh93DKCbXokLe7u2sVioSAPsEqBYuX2BS+yyt+fp9uf0QCdOJjs/gu\noAvu1Rjqcng5FHz/1NSURkdHNTg4qNbWVq2trWl0dNSaPhHGd3V16YEHHjCPoLW1VX19fZbEJmRk\nbWn2RM0Bnhb3wxi1tLQonU5re3vbqGdAMbxbOBy2JBctDJh0Rdm7VId4PMPGK2oUFWss1ZN8/kB4\nxd8I60QiEYPy/NrzucO68EBxSnZ2drS+vq5vfvObikQimp+f1/7+vnp6ekwu8ZBpMNfV1RWgCuMF\nkrzEW2RsHQrm3/7t30zxTU1NmUEkX8I58zAK3iMjOUlkFgoFc1xwpHw+BblGfqQ6vdInysHI8V75\nXWTOQ46ebokD45O8fM4/j2coNUKuoVAo0K2ViMI7DDMzM9rY2FA6nVZPT48ZPHIHOBI+qerhWmpd\nqtVqIGGNowOk6Z0VogXeF11BlM1eAV3lcjnl83nrDHA71x2RjG3E87wSAEq555579KlPfcosG43K\nUCAIKhPa4cTG43HzDBBGD5VAD/StBFAUCDBeKgpnb2/PaImxWEwbGxtKJBKWQAbX9J7M1NSU5ubm\njEO9tbWlQqGgixcvWsMvIJG/+qu/slaub3jDG3T8+HHt7Ozoueee04MPPqi2tjb19/frW9/6loaG\nhqzNcz6fVzKZtDqA/f19fec73zHlcvr0aa2urhpXfWxsTPl8XisrK0qlUurr69PVq1ct/wDuD0bY\n1NRkHiCeoVRXzslk0rxxf1BJoEpBbrUXauTAJwQ5uCTtUFTeIAKpSTIjc9999wVYU55296O+wHJp\nJ0B0MzU1pXe/+92ampqysZnAjUQmoVBtGM/s7Ky1Jl5ZWVEmkzHjCPxIf/uWlhaNjo7qH//xH7W2\ntqZUKmWVqbOzswE8G4XnFScKqbm5Wel0Wtls1iAz36MGJef7DTVywakpker7jtJCEXO+8OaRBU9b\n9i2zqbKGAeRnVqBoaQOBYQSqQQ7ojInC9QyllpYWXbt2TaVSSZOTkzp37pxWV1c1Pz9vCVNJgf5a\nPq+HTGPQiKRBBIgOgFKRYZK7m5ubKpVKAWNC1Mu7kJvBsbyd645Q9BsbGxaqeS8DhQu2+KEPfUhf\n/OIXA9ifFEya5nI5o4mR+YYRQx/qpqbahBgUOMkVqT7kG2XDZ3y1YSaTMaHe3t5Wb2+vOjs7ValU\n9Nxzz2lpaUlvfetbTSjn5+d14cIFvfnNb9b8/LwxWFpbW/Xiiy/aAf3qV7+qlpYWvec979F//Md/\n6E1vepPN0l1cXNTFixe1trZmbQEefPBBvfjii/YOJObi8biWl5ct1IYNtLKyouHhYcvur6ysqLu7\nW93d3bp+/bqKxaLuuusuTU9PW+hJaAyN8uDgwBrLNSbjeA8UD8kyDip75cN3DoVX7ChyFEFTU1Og\nOtp7bygMoATvySMTh3mtr68brOXfc2dnR0tLS5YgbWpqsg6s1WpVAwMDKpdrXHC8+tXVVWWzWUky\nHj1Ge2dnR2NjY0okEvqTP/kTkxtfMYpn6emOUlA5cfaSyaTy+bxV80oyGZDqVbucRS6+y0OXsFGI\nvLxnj5L00Z7Ph3HOPFTDuQIqRA9gNEKhkPXwIeIulUqWpJbqcCpRNbLsSRpTU1Oanp5WR0eHJiYm\ndOvWLYuGiJoaE7VEmpKsIh0ePPqN6IvPeBgaVhv9h3x+DPlBL21sbNy2HN4R0A0N9wnFubwggRVS\nAeiFicQWVWpYPzw9wh4Egh4jQDRceACNXoXHIn3onMvlVCwWtbGxobm5OT3xxBNaWFiwLoLcb3l5\n2XjPFD7g7eIZrK6uGgNmbGxMAwMDJtB04cxmsxZ1EIF0dXWpWCxqfHxc+XxeuVzOSubphjg3N2fC\nR/9xwkrmcpK83d3dVVdXl6R6HQJr2dHRYYVU2Wz2+/rMsD549P5CmPm7D5fh0KMkOCz8G3sg1fvO\noyRI4gHZeC/JM3EO6/LP4a9yuawrV67YPiWTSVNcQ0NDkmoeMcluqdYJk3fxhILt7W0lk0l1dXXp\nK1/5ivL5vLXjxcjwLFLda0fxw3ohShgcHNTBwYFFbSgpKTiYm2f0+4bR91CoNyqebEFeAS+fZ8LJ\nQya84ec9uAff30gN7ezsDLQlaayElepFk16GfX4IowiLZnBwMAB38l/Pieee/JwIznP0vY7ze3Nw\ncKDNzc0A7RqDQEJekkU+fM/tXHeER18q1SYP5XI5a5krySyzt9gf/OAHtbCwoMuXLwesMCEcNDQ2\nn0QTikOq97/f3t62ohVomv39/QFOMRhxsVjU5uam8X0XFxeVTqcViUT03e9+N5AUPnXqlHFefZJY\nUqDAqlKpmCKenp423HxqasrW4cknn9S5c+d07do1Xbx4MaD4stmsJicn1dTUpCtXrmh2dlaDg4Na\nWVmxw9/b26uTJ08a1gnEwyBvuliWSiWNjIxoeXlZvb29OnLkiGZnZ7WzsxPoxilJQ0ND2tzctI6X\ntEnAq/cYrWfaeCyXe/lkKwccheEZNuyHjwakIHWvq6tLlUpt4hKe7GHz6KV6IYwP9SuVir7xjW/o\n53/+53XixAltbm5qeHhYkqzrJHu8u7urtbU1lUolxWIxc1ToWtnf3690Oq0PfOAD2tzcNObRuXPn\ndPPmTVNkYLpEST6HRHQFuwMv3zfyQ5n7v0vBNuNSPSpGyXksnjMKDs9Zp2Cycc34fR/BeaVerVaN\nbebJFcBftB1GaZKz8Bg+vfvRM5x7KsVDoZA2NjaslxBnzMuyb8DI+tCLKRQKqd1/bJUAACAASURB\nVK+vz56FFiIQG0AUgIXA4r3C52xgaICZbjf/dEco+paWWgvXUqnWdOuuu+76PvqTFJyz2t3dbSXz\nTz31lLq6ugK4WbVatQHRKHifFS8Wi5ao3NraUqVSUSqVMsiHTcvlclZqD34WCoV01113KRKJ6OrV\nqzYrdXt7Ww8//LCam5s1PT2teDyug4MDxeNx5XI59fT0aHp6Wqurqzpz5oxSqZQWFhaUSqWUTqfN\n0/ra176mkZERpVIpw2PvvvtuE0ys/M2bN63KFbopxRoYrEKhoOHhYW1tbVl/lGq1aq0S+vr6NDc3\np1QqZcyQXC6nxcVFHT9+3Ip3Njc3lUgkLMkUjUbt/zOZjEUZhMccAM9WQonj8WPwEFaMAR4gjAP+\neK+mMfnHAYPBMzk5ac2qDrMylpkJPDMGCpn8zGc+o1AopFQqZfMWwuGwjh49qre97W0W0lerVfX2\n9tqasldSLTfy3ve+12Y3SNKVK1d05swZ84qJfKiZuOeeezQ0NGRwJEqIYfOsuTfUeKRSPaKAlCDJ\n2C6SbP+AG1BstG/gLOP4eHo0is0z4Px9MT5g1OVy2abGcf4xlsg3BoMo2SdQNzc3raEb9/CGz1NG\nq9WqZmdnlUgkFI/HzfljLXheoCGgpWw2a3LqoxDYgFS/Aw0BL2MseCciDaLy280/3RGKnpAnHA5b\npziKeXxxjmcIAMcQ8hCegQsjWD4ZiMLZ29uzBJhU6wE9PDxsSonN2tnZMZwNmGJzc1O/+7u/q89/\n/vNKJpNmaelXTxi+trYmqWakxsfH9a1vfSvAh3322WetElKSedXFYlGXLl2yAzI+Pq6rV69qcHDQ\nnomqOZRpKFQbgoySGxsb08rKiinObDZrCbnt7W0rYfehLoctmUxaMnZtbc1GKXpPCg+ECKS7u9uK\n1aQ6futxXAykZ+34/Zfqytvj7twHnB+jj3FDsaHo2VMqKj0l7jAuPDpf2IOsSPVENsqIPX3hhRd0\n5coV/dZv/Zb6+/ttxi+9alCi8Xhcn/jEJ4xbjjLZ2NjQ/Py8/V61WuvceP78eZ04cUIDAwPGYvM5\nBE9DRuH6SESSeemeA8+zS7W9ARr1a4/8+PoKr3SRQb47Go2aEwUmj3Hju/B+/aB1L8/IELAi3+N7\n8mAAoKc25oGIKskThMO16tv9/X319fVJknn+fD/yiGwTSfl8BFx7vp/99KwrdCI1Lo1EiNuNVu8I\nRb+2tqbOzk572dnZWUtA+Z7xCGw0GjULXiwWdfbsWa2urpryokgEzzMUCtn9GaOG8gJ68BuCccjl\ncqZMtre39b73vU/Dw8OKRCJGbxodHbV+6bSLxYPe2NhQoVBQLBbTG9/4RsumkywmKQov2icyUVAj\nIyMaHBxUNptVd3e30um0Ll++rImJCSusQYDJAbzyyitWev9zP/dzevrppzU5OSmp5q3QQTCZTGpr\na0udnZ3mzRQKBbW1tWlgYEDz8/Pq6emx0Ja2ERgs9oTDBr2PDqMcaF/l6tcYSAYl0VjDQILbHzAM\nG8aaveG9PBWOfMZhYvS+qMlHm7wzCoCiGa8ISqWSPv7xj2t4eFhvfetbrYITXP5f/uVf9OKLLxqk\nANSFx7i2tqZ7771XoVBIExMTOnv2rEVUGGb2oFQq6YUXXjDYhvVmP5AxIgRfhe498fb2doPveE/f\n0dX33ydB6w2hV6oUN+Jtc7YlWRIaB669vV3T09NKp9MBhd3a2mry60cvcv4xDugeInocBhLDvtkb\nUObe3p5mZmasJ5Ekq2PAAWyExDwmj3Hx9SfUs/jh7xSoNTc3a2Njw1qTsGa3c90Riv7VV181zJjQ\nf2ZmxopIWES8QoR9a2tLpVJJExMTevXVVzUwMCBJJqxQDTlsuVzOmCmSrHXCiRMnTNh2dnasfStJ\n4vX1dX34wx+2iThNTU1629vepq997Wvq7++30KtSqai3t1c7OztaXl5WPp9XOBy2PIFnC1y9elXJ\nZNKq3TiYJ0+eDHh/29vbeu2119Tf36/5+Xn19fXp3nvv1fLysrE3PHuAdalWq0omk8bKmZmZMcyy\nra1Nvb29lvBqamrS8vKyKpWKBgYGbBj75OSkpqamVK3WeobwHXD/faES0VBzc7MpaPqHsHdEYvwu\nbAK8fBQh3phnTfhCKZKGhMwcRA/rSAok7Q/ram1ttYI6KK/7+/sG0eCR+eiTiIo1KxQK+uxnP2t1\nIx5moLMrsusT0cViUaOjozp//nyA7IBSgeSwvb2tZ5991gqh8OiJMMGSMdzArB7rZx9QQBg0z47z\nEahPzgNvYEx8op7Kbn7usXyUf1NTk/W6unnzpiWWad2BUoY1gxLGMPKMREt+TgSRtSTry4Mhampq\nst5WQC5SHYLEgLIXGDYMLOuJwURP0KcfBg6sJXrn0NkXttbtXHeEomeRmarD5rD5Ur0vjPeEPF3t\nJ37iJ/Tyyy8rmUxayIQig64ErQnoAewTrxbsEMVzcHCgrq4u/cIv/EIAKw6FQurp6VEikVBLS4uN\ndiN8zGQyKhQKKhaLFi3QOGlzc9OSYvfee68WFha0uLioeDyutrY24z4Xi0XdvHlTJ06cMC9/aGhI\nL7/8siqVWpviubk5HT161BpGkZMYGhoyIYZtgDLo7+/XysqKRReSjHpGVEKybG9vT11dXdZnwyft\nOGwcdNbbswDIUXBw/O/gBUp1jx/l7xk8XI1MDvaIAho8NU/59ArtsC7Wo7F9rffuwcAxTPwOBVPs\nP5CPV1D8fiKRsGEm7NfIyIguXbpknSrpvYJXivLESFCPgneLgmUoCfvOd6IM8a6lejEcMuET7F42\n/Hvi/EDrBJZszG0ALXlyAzAGZ5C12d7eNsrwqVOnrNiJM+8hS54Z5ewjS5+w5lnQSzwj075Q6OgY\nojOiWSBkIg3P3ycSxaHhPdgDoGP2KpvN2tm+neuOUPSlUq3/xuTkpCYmJkw5onzwhnwyjuw5QtnT\n06O3vOUtmpmZ0dzcnBKJhAYGBtTc3GzUO0mGSdL/g0o3wkLG6G1sbOhXf/VXjdmAQILXd3Z26tix\nY9rc3NTAwICWlpZMwT7xxBNqbm7W8PCwmpqalM/ndfToURvL96UvfUkPPfSQSqWSRkdHTcHBGHry\nySc1MjKiU6dO6ctf/rKOHj2qdDqt733vexobG9Pw8LDy+bxOnTql9vZ2STUva3Bw0JJUCAD/jofW\n1tameDxuzbHC4bASiYRV9oZCISUSCZveNTo6qs7OTlMSeBwImTcWvvcQhpoxkcA6HptGIfuSdZ7b\nt3gGs+Tfffk/h5PkH+/Y398fwFkP60K2cVTw4j17BSVGs7EjR47YMAsUBcqI6NSX2l+/fl2RSETH\njh1TLBbTyMiI3vve91qtA+yMeDyufD4vqcbvHxwcVLlc1ne/+12LEDY3N40OiAFC8YDlo3hLpZJR\ncT0G7YeQ+8gEhS7JIncUKIbAT8LifT10UqlUzPlAJ2xvbysWi5nyhIEXCoW0tramlZUVVatVXbp0\nSfF4XPPz8wEWEEYNXQLRwxsESaYnkFFyRp4xA/WXCVMYCq+4kXlyIBgCcoy+5sS3TvGKH+fudq87\nQtEXi7XeHOfPnzcvGfiCQ0yijaHVkow6hiWtVqu6cOGCjh49qps3byqbzQaSiT4BUy6Xlc1mFY/H\nrU9FR0eHzp8/r7vuusussV9MvLD9/X0tLy9rbW1NL730kqrVqpWKf+pTn9LIyIjBF4SIVOtxQCjA\nkmS5hGw2q1wup/vvv1/PPvuslpeXdd9992lmZkaJREIzMzO6cOGChbDT09Pq7+/X0tKSMpmMTp8+\nbbCKJMsH8NzDw8OW8FlaWrLh3Ixeo/4Apcm6MQcALBkBR/HiBXl8WJIZaeAhnod7oLT29/eVzWY1\nODgYiOKkmgLByKAwY7GYMWww4JVKxfoC3XXXXaYcPc58GBdr6CEN79mWSrVaivX1dY2MjFibWzBl\nciC0k/ZN9CqV2pjMs2fPanp6WktLSyoWi/roRz9qCo+2Fhjprq4uU/43btxQNBrVzZs3LZpGvikK\n8ng56+kZK7wTDhXwUW9vryVSfaQi1dtIQ3eESIEM8bvxeNy82UQioY2NDYNM0um05Qk6Ojpschyf\nJ4/goyamx7W3t+vGjRuBHAP6BcjQJ4fZLxR3U1OTjQ9FsVM9zrxZr4g9TEPkguGX9H1GhxoXEAaS\n37CMQqFaa+n/DSx5Ryj6gYEB9fX1mUXnsNMEioWnKyH0IrxwWrriBQwMDKi3t1eZTEZzc3PWgIym\nWCRqjx49qne/+93q7++3QeI+o030INUUCb2pc7mcvvCFL2h9fV1dXV1WjhyJRNTT0xNoqAUdDHpi\nOFwrx75165bOnj2rzc1NU7ahUG1CVmdnpzo6OvSd73zHkr+vvvqq+vr6lM/n7XDAQMpkMtY1Ew8R\nr5t3QYglBZQ2itAXl+BB4L3gtbC+fjIQAgvmyuH3ITkXrAsiNX4f7BnBx8Pl7xhyDj0G2zfxKhaL\n5hGnUqnAsx0mRr+1tWUHFiWP90zFL1EUg198IhNnw8MXKFmppgwxxnt7ezpy5IglE4FnKKJj//AU\nu7u7tbi4aNEde0pbBeQSL5J1R84wOv6z4OM8v4eXvIHzCpnfZT1Qup5pR4Mvfg69E5ohRoOL3INP\n9hYKBcv5eYgWZe4Ts8icZ+H5y3+e++MoVSoV0yeSzFv3k9VYU78WQFBEQpwrn5dineh/9GNFr6SC\nc21tzSCMfD6vjo4OKxxqa2uz+ZiEjGNjY3rppZfs/xEyimQGBgbMe6BJ19GjRw1rZHMPDg60vr5u\nXfT8hkv1MXd///d/r1wuZ0rVY8DVatUUse+eiBf62GOP6ezZszpy5Ig2Nzc1MzOjV199ValUSpOT\nk9rY2LDq1P39fQ0MDOjXf/3X9cwzz2h0dFRSLYLJ5/N65ZVXjIZZLBZ14cIF61u9srKiQqGgN7zh\nDYHkJngkdFEomChlIBV6jyNEeCtEVwirp69hRDCGfBZPBK+WA+FngeL1EEHgVaJMUI7g03CxfWSG\n8oLS6g2FV4qHcfn8EDLnlYBUa0986tQpM3iSLGKhIyPeKIk8okES0hcuXLCCOr8HRJahUG0cHm1u\n29ra9OSTT9pMWBQGjc2IAvzM2EqlVnoPawteNwqJvY1Eaj1hfHQn1eenQlzAyEn1QkKciHA4bLAF\nOQofAVYqFashIU+zvb1tydR8Pq/d3V11d3cH2mdsbW1Z8Zn31lHG3runK6WPDiWZ4+lxd6IuWH04\nKMipfwdJgTOB4wVjiSjFyxDnk+gaB/fHStF3dHQon88H+LfwVMfHx83bwQqyQb29vRoZGdHu7q6O\nHDmiYrFoOJf3xoEK1tfXdfToUePDJ5NJHRwcaH5+3uhLQ0NDRh/03uD6+rrOnDlj3e1YZDx0PF0o\nj4SVhHkXL15UpVLRY489pl/+5V82b/bll1/Wzs6OtTRAqfEON2/eVLlc1pkzZ5TL5TQwMKB0Oq3Z\n2VlJde+8ra1NhUJBfX19xgRCSbe3txuDCNooRtArQjrjYRSi0agpWpow7e/vW6TlDQLRVaPy9Zi0\nh7IkWa4Dg+SrE1kHqd79DxjIRxBATRg638AO5XOYHj3KBnkEwpFqnvPq6qpxsZubayP+SHCCF3tm\nkp+tQCfGZDKpRx55xAzJzs6OySRyyLqQm3r++edNYZOohLxAewsMO84AeZJIJBIoZpPqvduJWHwC\nE8UE4wcDLgXbGUi1s5pIJCxyA3pFdnDMUL50/SwWizYEvFgsanFx0WiPx44d061bt7S9va21tTXl\ncjmTSanecM0rfpQ9xso7TLwHzwS8zHnDAPgcBQ4kOoxW53w/uSdJgXeFrcMeRKNRtbW12cD5H6tk\nbGtra4CnyiKjVDy2yeb7BFV3d7cpbZ99l+oenT8scNgZNbiwsKC1tTW1tbUpFovZwaChWaVSUTqd\ntna8X//61wOQAwkpBJrkjC/YwIuiGySCQYISDxalBWVycHDQilt6enoMKx0eHrbeNOFw2KAjX9iB\ntcfT4uDyPZ5JwEXiFcEjH+IZAngm4Od4jOD8HrNnzYl+PNNBUsBYkGBHiftZno2HyjN2pHq7jNOn\nTweSYMBRh3Vh6JAFlAaGkUjUe6bUV7AmvsBHqjOdpqenVa3WxkLu7v6f9t7kN84rO/9/qorFuUbO\nokWNliw7tgMbTto2kKAXgTtAgAyLTv8B+SeC7LPOKkEvkiyCLIKgFw0kMDqGE3dsdOxORx5lyW5J\nlEiJQxXJKhaLM6vqu6jf59RTZf/a6oUjRqgLEKJYw/u+9557huc859z9ruIooDGUCHmQXC6n5eXl\nYFZJna6hJycnwdiROslH9hz1EuxDV4JSW3ZQQL38e+6b9cKJcvaWpICqstlsV9IZFhU5CxKnAwMD\nUU+BvEkKROD4+DgYcM1mM6p+PbHpxsqZfCh6ru/yJ3XaNTvWTj5G6njinsfimTG81Wo1iqTcIQFq\n5npQP1utdgsTit0cGv1V41QoepgwCDU95EnkwB9ttVq6fv26UqmUfvu3fzu8uYWFhcAq3cNtNBrK\n5XLhnfrpTkAw+/v7KpVKWllZUS6X0+zsrEqlkvL5vI6OjiK8hO72zDPP6LPPPguvnuuBE7PJHOeW\nFNdCiUsKnHRrayu4wK1W+9Drq1ev6vj4WL/3e78nqR31/M///I/u3Lmjl19+OWCVtbW1aIiFMsGY\n4Q15+bkXh+Xz+VDgKJKxsbFQNMAHFJt5oRneJUqXvzkLhw3ApkHwMQK8z3FQhJuENQaLjcYmarVa\nUTGYTLYPqvjjP/7jLuPsxuFxjWKxGLAEiggn5ejoKFpQO18buIfck2PdzPf+/r7u3r2rCxcu6Hd+\n53dCQQLDuCJGhkdGRvT222+HsUdJJJPJYDJ5eb7j+Z5YPDk5iXJ9vNxkMhnJUhQkz0N+pdFoBGMG\nzxxjBgRIYteZJ25QcGi4NrIFqYKIhdoF9jZn0PIZjCtrgTLGOEqKPAVz6HJEtC4p4FnmFZkmiulN\nwvv5ucViMc7RwClgHcg5EaElk0lls1n93d/9XRxZ6E7arxqnQtHDnvAEIBOzubkZ2NXe3p5u3bql\nO3fuaHFxUfPz8yFAtB3GIwf+4BQk95jdmlI5xwYiUYbixts5Pm53qXz33Xe1sbGhbDYb57jCQKFQ\nS+o+oZ6/TUxM6Pnnn9cPf/hDnT9/Pg5enpqaCm+31WrFAronhNd+6dKlLo+CJBCJKUlx6hVGBfbC\niy++qJs3b8ZmRCjd+wWjdUwcCAWj5sYBHNMLbaSOJ+t0NKnTxRLB9oQta8DaY2AxXv7dzA1Vsb/5\nm78ZhUaOC7ORH9eAXgoUyfMeHx8HZDM0NBR0ykSiXQRHQpn5QnGg8D744AN95zvf0Q9+8IOIeCAs\nOGzl+PAnn3yiycnJiNhQKn4NHCoUMEwaCpVarVasOeuBvDiNlTX0yA6Dw2vOzhocHIzENZAHyphn\nIQqipww5IaBFlF6lUgndMD4+HgQPqJvoGa7v0S1z6TTWk5OT2FPME89FHgqokdcxduTEUNSetGZ9\nySHiWHEdeumkUinl83mNjIzoo48+itbRj4rPS6ekTTFQBuGLY2ZSd0/xVqt9dN3Dhw8jq95stqsw\n6UXv9D8iA7xuIBe8iGazGUcUusFw5Qf9slQq6dNPPw1sDRqcc3clxQZyyAGvOJFI6JlnntHGxoZu\n3boVTBw8DRSg45+85v2p+Tuei9SpHHbvEE8vl8t9hR/s8A4eJp4g12AOGMBCnr/wtXPMn00KDMHm\ncsweheEMA4yyY8KusMkVYFwbjYZmZ2e1v7+v3d3dSGi5l/a4BswZnAYUKzRi5ojnhZ3RCwcwn8h0\nqVTSq6++GtFQMpkMdhnOCrkpb3XLGbVOWvA1xRulxQgQo6TgqjvjxO8LmUAOpA4l0T10Ty4ihyjJ\nXmo1skAujH9pGMZzUDDIZ9mDKPneOXV2GArb4RMiDN7nERnPwmdR6jhWOEisueeufJ5c8fO8zqzy\necT4XL9+Pe6JtXuUcSo8eqrdUPJM/OTkZCgAkkyzs7PhBc/Ozka4tLGxEZOEdURgR0dHVa1Ww6NC\n2VMkAca+tramoaEhzc7ORmIXA3B4eKgPP/xQUnuB6X+PBwabwTsleiKL6KFarWp+fl7FYjFCOMdg\nScAhZO7NFYvFUPgUsFAcxfMg5DAQmFM20LVr13T79u2YAzwWn2eekU2LYDYajYiuiLpgR6BY/T4c\nwkL42QAoJ/fuuBdgKSIB917w/lFYFy9e1HPPPdfVEtaNDZgp7TH+twfRJZ4bOHc6nQ5FS6sHvFkM\nLuvvOanNzU199NFHWlhY0OzsrCqVimZnZ8MB4nPkV1Byd+7ciciMZlwYBS88HBkZCTYL7B3mEscI\nRclew8v3SI/1cn46+HI+nw/vGoUHkyqXy8UaYqh5fpQbFGhngpFbIkquVCoaGhrS2bNnI0mL4UOp\nSx0OuzuTLm/ooqGhoWgf4p40ih+nhXVmD7J3aFvOe9lrGH7POTAndOfloHbaGzuK8H8qGUvSFdyQ\nUA664s9+9rNoH0Bz/vn5+eiFAzzRaLSLDVZXV7sUCR7L2NhYeP2OyxF6Qc979tlnNTQ0pNXV1UiW\nIaQMsEpJEVrhRWA8arVa4MqUp7O5WVzvgyK1O2nOzc0F5IEiZcPDlKAAC0H36jlCRgRHUlTget9s\nPJSRkRFVKpWg77nClTqJKAwOVDKEG4WCAiApiFATYqOs/MQpIBq8OrBojCb36F4Rc59IJPT666+H\n4sQL8mjk1ykT/zYG8+Icb9azVqvF2qG43IC68YUH/tOf/lTpdFp/9Vd/FbLgzAywfQwte2pzczMM\nOv2QIC4ANeApw5yBqukJeNYXRweZSiQSUbgkdUcfMHSKxaI2NjbCQaJ/i/dn4nq5XC72DsadeeJ3\nHAjgWE5dghbabDa1srKi8+fPa2trK56pN/F5ctKpXkZGkSGnS/J/9iLeOVEL9SEwh1gbSZFrRPaJ\n9KQOtdSbA0KbhV5769YtLS4uRtEUKMOj5p9OhaJnczcajVBeMDhu376tpaWlwGXxDrBuTJwzPJgA\nFo8FhA2DVWeSMAKjo6Pa2NhQpVLRwsKCGo1GJEodI3W8P5FIBPeZCk7uD6oVvPoHDx504Y6eyETJ\n7u/vx3mhUke4PXyUOmwVjJUrdZ6JsNITcoVCQcVisYtdcXx8HMq5V+A9ykIpI4x8P14Lr2M8mV+8\nHMf3wSWdkkZojUfvgw2EJyNJV65ciYMbUPREBszJ40zESh12iSeyPTmLU+Nwl8MlfEez2dTi4qJS\nqVT02ieZSbEbSpr5d6/XvVCSlsgEh+Z4B0a/rtQ5CMQhJooWe5OvfJYEvn/emWHOUW82O4dqICtS\nh23D3PhnoOdi6CBPcI4z1yKP48MVvc9TrzcP3EpEARzrORCH20ZGRqKbLQqd54bWDdEDncQcQcME\n2mJNms2mVldXuyAnvvdRx6lQ9GzWo6OjCLOgg927d0/Xrl3TxMSENjc3df/+feXz+dgowD4wF9wr\n5DuxvJSIczwbva0HBgZ04cIF7e/v69NPP9W9e/eim+bGxkaUJJdKpTisBMXHoqVSKc3MzERDJsLk\ngYEBzczMBK8XxYP3xUKz4Thpa2FhIa7hVYLeSx+BJPTmbzCE8K7OnDkT3Prx8fE4sYouhMwZsIvU\nfXAI1+beUUQIfLVajYpGF3DaTPNDdMVzUa3pMA9hv5/JCSwhtXuxDA8P6+LFi7p27VpXARabwGmt\nvw6O+W0MDI/nMSSFM4DyQBmwgclBpFIpLS4u6v79+2q1WvrDP/xD/emf/qlOTk6iGIpnpeuoK30a\nbCEjJC9xpPjdKblAJLTphu2BDNTr9cDwabFNpIfBxiFjDYAe+Bv3Q56LxKnUMTQ4Mr08fBwKlCxw\nzsDAQNCP2SPlcjkamXF4vUeRUgd+wUBKnW6UnvMYHByMaMG9efIgUjuPUSgUdPfu3eC8s0bsrb29\nva75xngBP7Kvx8bGNDQ0pOvXr3cdasI1/88dPOLtDAiNpqamVC6X9eyzz2p2djYs7dzcXPSYkDoY\nLIvJQknq4oIjgFSuksTBe3zhhRc0NzenCxcuaGZmRvl8Xrdu3QqI5PDwMI6q49pANoTfm5uboZCo\nZCwWi6pUKl9JNLunR2RSqVRi03n236EK9wI9J0EkxOaho+Dq6qrOnj3bJeBS2xtGsX/yyScqlUpd\nzcUcOkD5eFLQvaBms32uph8gzn2mUt3FNYSkPA/3xQbG4AAP0WBubGxMk5OTUcuAUgTOY1N4KO0h\n+OMawGl4gMgrc4lClLo7Oh4ft4+uvHnzZjTMGhwc1Kuvvhr/53vS6bQymUz0MvJWBalU+xQ02m/T\nyxxFBebMWqTTaZXL5YiQkePBwcE4TYnog6gBo0zi30kJyWSn/H99fT247cgyShMjhIHyGhOMu9Q5\nehI4CaeP92N0SNASLWEIqFXwfu7O6ALH97/j4LAuPBPzhdKWFAVvYPqTk5NdCXCege9l33ImBMaO\nxoK3b9+Ow2Cc/ACc55HJr5TDX1Nuv5XhNL7j43Zr352dHa2urkpSKBMsNWexsqEdh0XA+fvg4GAo\nAH5n0nyB6XhIm4LJyck4JHlwcFDZbDYYMgh3Pp/X3bt3tbu7GwpH6mxYWg+TaPLiBt7joR0LThWr\nMyEQDCARpxyCe/N9vLc3gem4PHMwNDSkK1euRE2AJ4Z8njy5CY6MIpE6YS5KC+WGh87z4tGjhPmO\ngYGB6BnExqlWq9ra2tLk5KR+67d+S1euXIlKSO8kSAdDh+IIt51G9zgGhg381dlHQHpSp9ZAasv7\nyspKFDaxDnjG1WpVOzs7XbJDRMPa9FZ0lsvlaIqGseGeHEcGBuWeKLlnLaVOESL7DMXmeRTuS+ow\n5VhrZ2FxL85Uw9FwL5j74YfncxwbmUVZet4G54nBtdn/PD+v4cQAz/j+HCWs5wAAIABJREFUZU8Q\nYfszO4yKAcMRI1Ilyc3ce47AGTf37t0LuitRcO89+++/apwKj35iYkK1Wk0HBweamJjQ1NSUrl+/\nrkSi3anQhSGfz4fXRtLi5ORE586dC64sISlCAIWSBYeG5dYY4fP+HVevXtW5c+d0eHio3d1dffe7\n39V7772nVKpd0LK1taV8Ph8JGyoQx8bGND09rWazqbW1tUhq9RZRueLGQuO5Sp2qQjYZni4bx716\nNuPg4GBwfnm+X/ziF3rmmWdCOPHeCDeHh4f1ne98R8fHx/rv//7vgHzc6/GcAsYLb5TXOEQFYebz\ndAbF2webhD3BurVarTgMu16va2FhQa+99pouXLgQ3OFmsxnGALYGyu34uN0ldGJiIjaa472PYwAZ\njo2NKZlM6pe//GUU4bizgQOCESTqnJiYULlcVqvV0sLCgj7//PMotJufn5fUYfZAFiDfwhouLS2F\nZwy0lU6n4+Ql7i2Vap+cBgwDweDg4EC1Wi3WeXR0NLjeeMe+Pslku4ANJQUkQbQGpMS9p1KpqDdw\nmjJ5CKJKlK0bhHq9rlwuF/Dd2NiYVlZWIlqgmvTk5CQgJ2d68Rqy7Pg3Shf5cgfCE9bMi9TdWwl4\nTlJg99T6ENHm8/loo05knM/nA3LqhZi4595o45vGqVD0o6Ojunv3rs6fP6/BwUFVq1VJ7cmhIg34\nAkxre3tbpVJJyWQyhGR8fFzj4+NaXFyMBCtKn8PDPYPO71405KHQwED7iDKanYHbX79+Xevr610s\nD5JisHSAe8Ajy+WyBgcHNT8/HzxwnjGTyWhrayuwRihUOzs7wdmXOticpMCz8XBQyHC2EeTBwUFt\nbm7qX//1X/X7v//78V0oXRg8eD+vvvqqlpeXY+OCd+/v74cX6V6Hs0XASDFAQDhU+UmK3x26IAmN\nkD/zzDN68cUXg6lUqVQkdfqp4Amz4VEctF4mD+MJycc1SNClUinVajWVSiVJHTaO0/2AGlxB0A21\n0Wjo2WefjbxJIpHQ0tJSyMPk5GSsj1NUk8mkLly4oPv376tQKIRzRIERXuze3l4kvLmmpJBB8Gpg\nM6lzGDj3hHMFLs0PVas4A05bdiXp0Ig7GOQF8vn8V4r5kHm6UnLWwo0bN8KgOmXRnSyGXwej4mQG\nqKYkfv0zTtJwBtDOzk7UrzhFlOdEdvf29pTL5WK9BwYG9ODBA3355ZcRTbGOHmE7DPso41QoejY7\nDZvwMsbGxjQ42D7ByQ9EOD4+VrlcDm4q1a9Qv1wBs6CpVCqSIwiH1B36EIpK3Sda8d3QOC9fvqyt\nra14LxEC3rdjjF6BCj5JuAeuTKELvHr473hTCBz/wjQiBEwkEvF8HFHnTZVarVY0R8Mj6IVnmIuB\ngQEtLCwEjZVIgjxEs9nUe++9F8qe75Q6VEk2cq8nDXzmh0jgGe3v72tubk4vv/yystlseIy9Qu3s\nDTaV5y729/e1ubkZVdFgvo9zJJNJra2taXV19SvMFJ7L4RLkACXD3z3ZWSqVwoCQ33FZZ47Ak4F2\n+B24hVyAF6c5BAF9FtqipGA+ARX5fgLPd0cCOfEcFfPiiotBdOuEBuYDQoMzVZwZ1Gq1ND8/r52d\nnS64kbnAy+cznoj1xCbGhAiUvecQm3v33KdTJr1FBGvNGiKXwM5ef3Pz5s3IJSAD3L8nkrn3Rxmn\nQtG/++67unr1amDpR0dHOnPmTFS14VHShoCkD7QuTtIBmkApgUdmMpmvcE6pZIOhAs7mWD9WW+oo\nwUwmo0uXLunjjz8ORYpyLRQKkRyi50aj0YjE6N7engqFQhiCTCYTHgzCgtCzif05Sd5wH+VyObwt\nEtTMFz+cS9tsNnXjxg09//zzYaDYlGwIlD5Yom82h0eef/553bhxI4q9pO5DGfAqUSzgvoTizCte\n/uzsrJ566ildvnw5BJgN4KwS1gWl1Wg0oggll8tF18VqtaqDgwNls9no7QMc9jjGz3/+865Wv71h\nfjrdPtijWCx2YevMAc+bTLaPpBwaGorjKKETepESZziUy2XlcjmdnJxEXYdj+h51so6Tk5Ox75Bv\n4BQYTiglohKqw8mzDAy0T1VDGfPMKEapg3O70pfannYmkwnPGg+e6nM/eMgTkrVaLfoK/f3f/30o\nZWfTeOSLkfP7aLVawbTze8apaDQakeQF82f/4pQ5zZS8BfeLkwljKpFoU7NJcmcyGb3zzjtBnXaa\nKzLzdVTiRxmnQtFfunSpq3QYTB2vcHt7W+VyOTyMgYEBnTt3TsViMdqw0sODScHrmJ6eDk+a4/GY\nHPdKva8NSgpanDNQpLa1vnbtWlDeSP6QnAGfphBqb29Po6Oj4YnDiuH7XNkjKHh12Ww2jBzGh0Ib\nkjnwiDEGzuCR2knher2ut956S88991wIL61TPZvPvygDNjqNl/DMzp8/r93dXa2vr4dA4oEQmjoF\nFOE8OWkfKLOwsKCpqalIWLOZDg8Pg2bLtbzI5euS2EBs6XRae3t72tzcDK+UuXpc47/+67/i969L\nnFGTgMJMJNqHT/jmJnEHv9rhLmT+5OSkq/IS3JwkH9j72NiYdnd3g9NPXgnHo1arBXVye3tbGxsb\nktq0wWw22wW5nJychGwmEolgmPAcrrx9r/U6I1Sv08Srl47Lc5PHAyYBAqUIMJ1Oa3JyMvYAAycO\nh48cAs6gR1PoHqil6CAgXm/uJnWqgJE9z5kho87Fx4GD3dNsNjU1NaXt7W399Kc/jevjtHGPsBHR\nf8DJj8oqOxWsGw/3pc6pQiRS6vW6dnZ2umiHCDb8bSbV2SAoVjwfqtXwBhFEPEeE0GESBJqNh+K6\ncuVK9J7HMyXBiTCAvSKwePYoPLwqr2rl3vz+WEzHM1lwPDKv0mVjECazCQixqVGQOr1GHO/rZXGg\nTFDgbJTp6ekuLNy9T79PhB7FMjk5qampKRWLxVDyPCtYPX3FURB+RoBHXcw7m2t0dDQSwsjTozIT\nvo3BWjLPUgemQfHxeqPRiEI7V6Z4okSIREN4mc1m+0jBTCYTHjX9fvL5vCqVSnjdRLZQXpnPubm5\nLvk7ODjQ9vZ2ePEOsxAxAGu4nGOoeT6St87GYh48j4AB4T0oQTx7ZJL79feSkHco0X++Lk8DxEM+\ngvf5nvM8Ep/pzSlIin3lsC/7s5f370yewcHB6FCKM0qRFAw0um5Sa+Rzhs57lHEqPHosHZM7NTWl\n8fFx7e/va319PRIW09PTymazGh8f1/T0dPRsHhoaCkwOC+19XDY2NpTP5wOz7cXYvKe61KEAOtSD\nwLPY5XI5EmwYm1wup1qtFgp/bGwsNgNNrOr1eggt4SNY/vj4ePBn+Z5eSpekYBDkcrngDTebzWgH\nQeIIZdm7GR3Lpn8O1/DNDFTEfOLVSB2q5sTERNQalEqlYIjguSSTyTAqUqdnOScAXbx4Ma5JjxIa\nk6GwfQNiyNj83LszMyYmJiIh/aishG9rYER78wTAB27kkQWpEwERLQHBITvez4l+6zB36vW6ZmZm\nwgP3im6HOlD+sN6ASlDyyWQyuqBS6zI6Otq1nnjUFMcBLeLATE5OfmVvAU00m80uI0A+wM+mYJ3J\n78D6arVa0eIXOYe1de7cOd2/fz/kl2jXFTN7YGpqSpcvX9b169e7DFqvo4ES9+uzZhRRwa4j0Q1S\nwDzxHZBMUOokXyFFYPSA1pBroFb2IfUJjzJOhaInwYZ3sru7q1KpFJ4Jice9vT2dPXs2+tpInbC2\nVqt1VRNCiZyamupawN4ECQqtN5qQ2kqpF7/mBw91bW1NR0dHmpqa0uTkZITPeLaSwjvBy56cnIyE\nEIoXa+74H99D+I1hA8PGcycpSyMz2AswJchD7Ozs6MMPP9Rrr70W0Y4XSbmCd1wcw+dUNxSp50U4\neBqvjT4lbGC8ctow03/ff7g2DBC+C0UFxRRF2Oslu0y5oXqcwz09SV21HY4Fe1LRzzoYHBzUc889\nF3sEjxamBnRWqMEwUOr1uiYnJ8NYQmllTyFDGEycBiBHZItrcI/0RgK2KBaLarVaXYQCqRPRIs+e\na/KoFllkjYlamDsSm9BAScg6lEUdSyKRiIPWDw4O4nhS9iD35LBnKpXS0tJS7GtJmp6ejmdwuifG\njHmjKLOX5oyuwTHiM3t7e3Em9OHhod59992AZXhuKOPkSpAJ1z3MjxeI/qpxKhQ9lEmEr1qtBk/c\nLdf5/+9YQRQ58AqlwDBWWAQ/OxNogUUg0eSVqYR63A8bUVJXuHR42D4IhSKqra0t7e7uamlpKYwD\nmN3w8LCKxWLQ2iYmJsLiVyqVoNQ1Gu1WAk899VQXKwW+sD8D4TWMGISjUCjEBsAoeL/u4eFhLS0t\n6ZVXXol74BkPDg4C82T+eGZJwRbCGEvdYbiziVAowErQ4lqtViT2hoaGumoW+B42Ps/vhjmVSkWn\nUakbyuJ+HDbCIOEVP47RCxvBBuql8Tkc4G0bWJu33npLb7zxhgYGBqL7o0Mlw8PD0fmR9gWcoAZf\nHnICUSNRKJCkJ/yHh4ejihzYgP2GYyJ1WhcDJXnlLBELbDqUZrPZDAOCzGK02NewXhy+Ghoa0lNP\nPRW5tlqtFnIFvLW6uqq1tTUtLi5qfHxcc3NzyuVyXVAUzpIn+6lBGBoaimQwxgF594aEnqSlWAuP\nm33K4euSuhqqlUolLS0tdUF2Ugf3Z56RB+7LKZxeaPco41QoehaKh/P2qrVaLSaYJkzO9EDYmQif\nOMd/ETB6ZyAYkiJE7d2U7umzGVFWeKnefZLwFuEBx6SMnE2wtbWlRqPNza3Val2JUa4ldUMpXjXp\nmKBDGY6R41UB5eC5X7lyJQwnQgSfFy/dQ2nH2rkv99q5X7wjNiYbFV61/53vd2oY68YGAtd3T9ej\nLeTGjXEvRMLrXpH8vz08/8FGdaMtdai8/P51uCuGvdVqRctrGEUUCPl3+E8+n++C8AYH22cDe50K\nURQtsHG8wJEd9sPgE5nwdxgyOGwUySEvfIekSDoSeQJLYQCZOzeCvUbfjTr/cm/s0/X1dTUaDc3N\nzXVBHXDs4bx71Sxz5vuRNQI2YU/2Jp2Hh4fj70RkyKGTNHpzYqy7Q0ROBkEPMUfMz6NCk6dC0fOg\nYHdnz56NKjK8cuAOlAXKMZ1Ox8Hi0Pmk9jF54HKE/uQCvJ+K1FlIPOVaraa7d+/q/fff15/92Z+p\n2WxGk6R6va6HDx/GCUBnz56N6t1cLqdKpRKKFcWzv78fPXHef//9ECK8/itXroSSq1Qqwav1yl9Y\nNnhT4KAoU+ZE6hg4DkJwHHtmZiYiBqATklnMTy8c4nipK1Ku56E2hodCM9YVPFjqeCmuBBxG4/Me\nPeDlemSFweMeUGRsQt7zOJOxKFuYIe5soOTcyEndSWb3Vh1r3t3d1ebmptLpdLTzxvtstVrRbO/k\n5EQXL14Mmdza2tLW1pZGR0ejpUcqlVK5XFY+n9fm5mZX7gso0nM34OV4vkQXeK3OvHJqbSqVij70\nw8Pt85PdYaFYkoja2XHsbWSN/Ur+AGiJSAFlW6vVVKvV9OWXX4Ys9lb9Li4uxvdTJXv79m09++yz\nAX2yFp5I5RqwprzAaXNzU//xH/8R8Cvr6YnhXicA+ZU60KPLg0dUOHbsqW8ap0LR8yAHBwean5+P\n0GptbU0LCwvK5XLhcbDo+/v7EW7hBbIAHLbrnh7WslgsSupmPjDhKB363vzGb/yGvvzyS2UymeC9\nJpNJffnll/rud7+rRqMRFEGHU/A0EIzR0dE4n/XFF1/U+++/r0wmo7GxsTgirFKpdDFTpM5JSggh\n3gjhOELotDXYB/yNvvQoPnIdVI96r3uEEIiLOWIj8rvPqzMogGKkThEc/0rq4vrzWTYKZfwIvDNm\nPHJxoXfPnwFE4PP/OOmVnjPBS8MjxDtEBnluqH+sGzUNy8vLevHFFzUyMqLJycno7Y4yISELDIIS\nbDabOnfunO7cuRPYNI5IKpWKw0DoHIsHD7eb+6WocXt7OxKJyBTrgCOCAUMmuC/31mlWJ3WStG7A\nHZdGzldXV6MCnnweOax0Oh1kAPaCs9eYz3q9Hsbo/v37cc/8DRz/888/1+DgoHK5nHK5XBSMwe4C\nbZDakNPKyoru3LkTET96h/X1/cR+ZCDLPDN5Rd/frVbnuFLPfz3KODWKHmyQzd6LkaNoePhehQM9\nySsnnYKEN7y3t9fl5fp38G86nVaxWNSFCxdi0l0JsnmAIQjH/VQn7hdqIMqHcJW+87AcpM7xZSRl\nsdgkXNwzR4Dx4hzn4xmc1ueYNyFfb+k2ypHv7YUU3LPpDZn93jy/wPURXBLskrruy6MqvDuuxzxi\nQNmQTp3rNdjICuvzuAaJQ38eh8CkjiHFi4bPzuZmbkulUuRfpM5cO/7tSVepkxBlnSV1tShgz5DQ\nnJubC++fzyJv3r7COzFy4AYOCU4X10Th0uLDE5U4R56nI1pFTp0QwXPDmsGIcy2HsVwO+PGoR+q0\n5PCI0N9HRLC1tdXVhuH+/fvBXKLJnHe+9DwL6+TRJ2tLBMtaeWLaq8tZZ+bLYc5HGadC0VNBlkgk\n4oSlYrEYBQ5Sp2KUxCmTSLg/MDAQjcvYMIRqhI6EWu5R4Rl6oghLDM0Thffhhx/qxo0bAavgGeAV\nkyiDr+zJSAzNwMCAXnrpJd26dUvJZDJoaWwSNj1YI/xpT556N7x6vR74Ph6RY9rMWzKZ1Nzc3FeS\nSS7g7o2zMaSvYqVsBElxTQTcK1qZx/Hx8S7mB0wKNqlj9ihqICn+z2edjdNoNGKd3ThJHaYQMNDj\nGswNhh6GhdRdJUsvpWQyGbkW/sWR2Nvb09tvv61sNhuePZTUZDIZPWX4DNHT+vq6tre3de3aNb37\n7rtBCqAOY2xsTIuLi5qeno5iNSAbN5IrKytdZAZkFtmhiZ3j98gYe4bIDJnnB1lvNBoqFAoql8td\ne0vqYODMkUdzyWS74GxpaSnW3WV7YGAg5hcZYg+QW2A4Bk/EdXBwoAcPHujBgwfRLdWT0lLHK2e9\nHdpEOSO37tw4pMN9SerqOeQV6m4cHEr9VeNUKHrwSh6QZkCtVksbGxtaXFxUo9GIcm8vDioUCoGR\nSwrBg4KJMLNpWASUIOEc38nk93pdnDyVSCSi0pRCLjx2hAYGDW2WEbadnR2tr6/r3r17gXHSCRLY\nKZlMRrUv/WpI8IBfkuD1ili8MJS+F5UMDAyoWCzqe9/7XhRMkRhyoUGhonh7IRze50bCQ2uUucMQ\nfC/GAo8VyObg4CCYNJ5cYi4dBiN0xSOEUcO1uA7eo/88zuGJ116YyfFvmpJVKpVwRCAm8EwoDfI5\nU1NTUbBHtFmv1zUxMRHNsjY3N6NVCLUkRJb0iT937lx4yXDfgVBbrTY/HYgRmUSho/TS6XSc/IYc\nOkWa5wWCZd9ilA8PD+MAe6kd4Xp3R6A/Zwbt7Owom81qaGhI//zP/9y1b5l3lLXnDaSOkvT6GGSM\n3/ke/ww6g73hsAt6gOf1eo7e6BrZ8B+cMuTDo5jeGgvfq980ToWid9iAyQXrBk/0hK2kwNtdsUkK\nbx/lww+nuvROpof9nuRzHrzUnmg8c1olg5Ux2Q5vHBwcaHNzU6lUStPT04HJEQbSV98NHJ/DO/Ik\nq/f7du/VGTd8T6FQkNRprXD16lU999xz4Z01m80os+fZvGeHr4sbEK+2ZZ5847gB9Wigd1N4MrYX\n1vBaCDciyEav4va8hoe8rN/jVvQeeruM++bGo3UlwO9eYCS157hQKIQxcEjG5RaqX6lUCqNxfHys\nixcv6ssvv+xaq6mpqWisl8vlIrLkdTD27e1tHR62z3fGM3ajCwUTWiRyCoUYKI/3YASQC/7OIe8Y\nBl7HOeBZ/VojIyO6d+9el6PQSxLw7/H1cVkFUnJdhLJn8JrDP+wDZ8G5cufn/0/J873cExEFc+is\nN3+vOw6/apwKRc8mZVI4LBglNz093dW9DsWCVXfMC0jAsdpUKtVFhWIhpM5xZa5YnMLlCzY7Oxse\n1hdffKHl5WWVSiVNTEwEg4VOlnj0iURCFy5c0MjISLRopfovl8tpZWVFiUQiDhxJp9NRUOSb3UN+\nlBeeAgkaElu0RB4aGtLly5eD5oaixjPg2dikeECeBEOJePLO8w8oF0+AobAJV4kc3FNxPNTzHx7S\n+j26kHvVs/fyxshTUNXrjT2OwVw46wZIL5PJdNVBoJSARprNZlApweYpzllYWAiZkRQQoKSoyP7l\nL3/ZxVCj+vqNN97QJ598IkkRIZGAZV6hR5LYlRRYNpXQYOpAPNSWZLPZMNgoV/aqV67jwEiKfcv8\nYOz51w0LhoZGZrDJHFt36BEoFeVP1Suy672VnK7Yq0PcGONt4wB5VHlyctLVO8uVsht3rsHfPYIg\napDUZcxZGzfGjzJOhaKn3J0F5qg0kqe0N4Cy50m2XogC+pQn8XyyPVR2iIb/ewjFvdRqNVWrVTUa\nDWWzWWUyGd25c0dffPGF1tbWND8/r/PnzwcGOTw8rGq1GobJ8wC0LcjlcnGC0Pb2tgqFQmDcW1tb\noRjIU+Dp82z0bmdTU2fgzeAwnvV6PRg809PTGhwcjNazzrd3rJ5NQEWrezruLblHgRAipE6d81Ae\ngU6lUoHFomgcDgKWcdYQr/uGRGFkMpkIo91QPCqO+W0Mp1Ly3EAfMzMzSiQSwYLyMnlP5GGsWMsv\nvvhCr7zySqwTMB/zxMEVRAKzs7Pa3NxUMpnU7OysarWaZmdnI7E6Pj6u3d3dgMq4D2Qmn89re3s7\nHAJXLqwPURfRK0weEpNSpxYDefLnrNVq0WlT6j4XFblhPrkuyn9kZEQrKyvBRKPYkrlGqYMGcE/I\nKOfCItMeGXIt1w+ueD3/glHH4en13t1w8X6pO1cjdTPNPJnO9yIvkv5vtUCAgcKA/41CQbjcQ8CL\nILwhCYjC8ol0i8nw0Ezq5qoyUMLg8fSqcayUszg3NzcDisHThHYmKSzw5ORkdOI8OjqKcvWdnZ1Q\nWFQuOjeeEJnvRQnjxU5PTwfjx5/bQz8iBnr2u/Hw4h2PeDzSchgFRdsbQn6d18K9etKUcXTU6XuP\np+afZfM5d5j7xDCxcd2L93t+VK7xtzEclvTkqnO/weW5b54XBdALHTSbTb311lt6/fXXYy2ZJ3ov\neWUpNQxDQ0PRUpvvp0UInS2r1ary+bwePnzYRUQgEuQIT6A+qbs/vdRd7MNAZpzCCDTJ52nlwHuR\nMZSyf7977SMjI7p9+3boDXIWUqeFAd+H0uwlGjirBSWLw+TkBJSvt2p2CLQXrvH7dCi4F77j/w4l\nSR2D5tfp3eOPMk6Fot/d3e2qFnO2RCaT6cqA4xkCxzSbzWAsSG2LT9Ol0dHRrupMD6OZWB9sKCKJ\nSqWiu3fvBt7+wgsvqNls0wYnJiaUz+d1+/ZtlcvlKPDCM63X61FCzjNijev1esA44Jejo6ORZb94\n8WI8D95GIpHQxYsXdXx8rPX1de3s7Kher0cPEDYLww0ZHgRN4ijDx3sD/sAIUIHMPOERIfx41+7l\n+IYipOyFZrgvZ9fgpQLVsWaeLMfbxUC4RwkWTbGKpK/gmUQtj2MAUQAR0vqB+YKRtLKyEnPtcAFV\n1Z6HSSbbB5l89NFHeuONN6KyE4VEUzO82+3tbZ09e1bDw8Pa3NxUoVDQpUuXgujwzjvv6E/+5E+i\n6Gp/fz+a3QEJra+vR3SHTKHYEolEHKsJXs9aAI0AD0kdOjTrUq1Wo1cPz4j8O2yDUcPR4nqDg4N6\n8803w9C7UqYoUerkhPh9f38/oEUUKa87DIS8kwSleJIIFjjKFbxHYu5MoqR7yR6Sur6D/J+/B0MJ\npOp5gm8ap0LRc/7qzMxMVxMssDxPvLhH6eEMyp++71hWIBdJXRaWCcWz6GWabG1t6Sc/+YmWlpZ0\n/vx5pdNplUqlaOf61FNPqdFo6OHDh7p//34komA4pFIpnT17NjYygrGzs6NyuRwdNefm5pTNZkNY\npqenNTEx0RXGI0z1ej02IIvP9/fi2vzOewk3MS6e2GUj8uy9VbYoU8c/PbHFtb8ugY1w9no2vI/7\nwHvy3ATrTTIRwcaL92IUSV2bBF734yyWktqKvlgsanx8vAsqQ26ltjLEC3eqLvKM/NDTCehqdXVV\n//iP/6hEIqE/+qM/imfG6HGAxtWrV4O9sr+/rzt37uhv/uZv4mzgVCql9fX14O9TjCS19yYJXaAx\nj6RRljDd+JwrIKLC/f19zc/Pq1QqhcJzOI/kLEaRnlKSgoOPEwBZgV72nmvztiTAnjhWzL3/3xWm\n6xRgKY9kiU55P5CZGwT2n3PiPZpxz9yv6ZHoyclJnKUArZT3sv5umL5pnApFXywWu/Bfry7Fq2PT\noiTc83EFgdWVOvifVxk6JMHo9ezB7sCbq9WqFhYWtL29HV0FOeWnWCxqcXExEqJ4ovl8Xvl8Piht\nbAA8CC8WYRwctA9hJrRFATv/Fy/dYRlP4vAaQs/88Jy8jiFhbvEIpQ7uymdbrU7lrEM4vNf/7aWt\n+jP6hmItSBIDafSuBZ9jzTxCAM7Cc8LLYQPzXY8TuvEIhVoOhw8wYh4B+f2yJ1KpVCg9nstzU9CR\nU6mUPvjgA7322muS2onZ9957L4gD4NSe85Ckf//3f9f3v//9+BuJVm9fcXJyEoluGghy6D17DRiN\n/ADGi0LF8fFxra2tRUSOjLhDwrw4Y4YzlFn/4eHhOLHt/fffD2y91WoFcwdP3RU9uoLfe2Ex97g9\nB4XOkTo9d7j3r3s/zp5DWL1wHMPzhL5HuF5vXoTPewL/m8apUPRM7u7ubvDk8U7AufG8/UQbPLve\n3i+u4MBuWQxgEEI7FB8K7ODgQKurq1pZWQnvgLNpYdPgaWazWb388sva3t7W6uqqNjY2Ikw/f/68\nLl26FD30S6VSeLYsHM/RbDajrJvunOCprtyy2WyX1yCpS9Hx3YUGUmZYAAARiklEQVRCITLz4PNS\nuygHznq9Xg9PzSMlb0PwdREQAw8fmMThG3IXfo+etHMq6NDQUOQpvGLTWQcoQ9bMS7/ZJNBcezFY\nYMHHNcbHx1Wr1eLEIqAx2hjgueL9YRCAGplHjDEKmGZ1UlsR/u3f/m2sxZkzZ6J9x/vvv9+V52Ew\nzxS0HRwc6B/+4R/0xhtvxIlojUZDi4uL4RSwvyTFPKP0wPop/6eflEfeExMTevDgQShj9gOesj+b\ne/U0b8Nosp7pdFrr6+t65513uqKjgYGBSFju7+8HNIki7lXGwLXoEycTSF/NdUkKR5A59+93NppX\nEHMdp3NLnZPZnMDA60QMTuP2ffWoTsypUPS0VCUhBVUrkUhEnxmEXurwhWmQBNSDl0BfdFcofI5e\nH942lAVuNpt6+PCh/u3f/k2bm5s6Omr3md/Z2dFnn32mV155pcswHB8f6+mnn46DmjFGLK6kKEKh\nJ4dDCjRIq1Qqunz5sq5cuaJMJqPZ2dmYC0nRS2dycjISqmNjY8FBbrVa8d14P9wPIXcymYw+2KlU\nKrwjwvlegcGLRMHAFJK+CoH1YvZ81g2NY5/ATdQSUEDFWgJTUJ3piTNPVLIRuK63WXAa6KP2A/k2\nBvNQr9dDbigoGhsbU6lUUqVSiWS/1KHTNZvtXi40oZMUz8bB8vQyYk6AdH74wx/GWvhgzZLJpKan\np1UoFMLg1Go1lcvlgCXBsXEGvDAR58sP0EDB5fP5gGDIGdAwjXUC4wdXp5Eaz+dFVhgUlDwRw9DQ\nkH784x93MZokhcNGfsvl05UoUaRHiRQi0n/JI1D0CYYPZe+QIsaatcQRSyaTIZ97e3td8unQj6MO\nXM8jaaJ7z5c9yjgVit6z1hQ2SR2F7kwLIASUATgwcAhtVz2J671tJMVEoTig9VUqFX3wwQdxCjtY\nOawEaKAYDKkt8PPz8zo4OAiFn0gktLOz00UNYzFRZGDuPEehUFA6nY6TqFhgD+skBTWSZ8QrQuhg\nMtCl0/vzuwdDGI1BdE9FUkAMrM/e3l58p3v3bBhnQiD0bC7ukbnmqDQMkjMOfBAJEK0gI1zfN6LL\nkSe7vk7Z/W8OziMgN0JEQrKfRD4KzT1KFARQlCsy4DQiYefg9xpiT4a7B53NZlUoFHTmzBmtra3F\nOmYyGdXr9a5koEM6wDasD3kQ/u+JTEmBvTurBmIFBsqptTw76+4RppMCksmkNjc343Muf+Q1YJb1\nykbvnLgHzv7jc/zwPNwXOsT3gieE3YN3iqjDptw3+8PzbF/3r+fiWO9HGadG0RP2wL7x5Jtj7MAX\nzh3e3NwM+IYFpi9HtVrt8mQJ/zKZjHZ3d6Pi70c/+pE+/vhj3bx5MzzooaEhXbx4MTBQzm50y1qp\nVDQxMaGTkxMtLi7G0WaVSiW6aJJM3d/f161bt7S8vKzd3d2oF4BhMDU1pZdfflmzs7MhVB6era2t\nKZPJRNdJLx2vVqsqlUqR/GOQ1B4YGIiOe5LiRCgSWVAcyROAtcJaQjmgpBnOu8fY9ipfN4qZTEbF\nYjG+F8XRq4g8WgBGcMqde5a9RsI9JZ7hcQ08XI6NbDab2tvbU7lc1traWrzHDSOOCywo5B2PsdFo\nH9SRy+VCHp1S6EqKeXGYIJPJ6Pz587pw4YJGR0dVKBS0srKiZDIZkcLg4KA+/fRTnTlzJmAWZA46\nNHmD81ZDglfuxYFSZ53q9Xo0BXToVeqcFsffMGRARkSyyARQLAOFyXd7Hk9Sl0KWFDk4DMPo6Ggk\nlHtpmeghvsM7yaLAveUG0TTX8DyNpDDunoT1e+NavUodXei5y0cZp0LR40Gg6NmcKKF6vR7CRX8X\nwkLeX61Wo78HgsnGGhgY0NbWliqVihqNdoOlK1euKJlManV1Vf/yL/+iUqmk5eXlwFGz2awmJiY0\nPT2tTCajQqEQnjFeydDQUHDhk8mkLl++rJ/85CexQBwOgcHZ2NjQ8vJy1+kyUMU2Nzd1/fp1LS0t\naXd3V5cvXw4BdNrg+vp6JHqTyWQYCxgICBhKkkrK4+PjMHYoVrwPmAvg+niQHDbN80D1k7o78KGo\nPPogfMZQsZ5TU1OB1xNWE2XwvTwP7BH3cnxdMQZsLE/aSt0J4sc1MpmMLl26FGfhrq6uam9vr6vS\nuNeL82gE5TA6Oqr5+fmIAKDrehW4e/Du1ftaTU5OamJiIpT8wMCA1tbWIh80MTERxuiFF16I79nc\n3NTa2pqmpqY0NTUVskVjNdghnGYFPZpnQAY9yc8JbLC6wOg9CsMz5vuZq8PDQ/34xz/uImcgA3jc\nvUwYJ2+gNHGiMKDkRIBugIV8DpH5wcHBrs62DjNKHRIAkRDQJ3uF9iI4Nx5lsP48A5GtR9q9ebNf\nNU6FooctgWcJx5ZQCI+GUAnPElYAuDgTAXbfbDaDU4+Hwef9qD08q2azGXDC2NhYHETukIXUFjIK\nU6CjpdNpTU5OxtmsHoZLitAUC++MAsdxJenOnTsqFAoB0fQ27FpdXVWxWIwTuMALXSkiBLROxgPg\nGRB8Z/hICoyy1Wq3oshms12CLHWUMb/3Qi4IpeOw3n+I+/X7ZG3B3PFqHXZB6fDD5nDYA0XxqCHt\ntz0ODw/1i1/8QoODg5qZmYn5wMN3r61X4TuLY2Cg0+OmFxL7OmjKlT3DIwbyOuDdzWYzvHlkw71Y\nsOzl5WVduXIlvGXolShPnslpgV5PIbXX3KtjgTi8GtjZc3yWM2PffPPNqJjn+b39gNTB1N1oMtdO\nNEBxgxDgvPHTyz5j3pkPv0fukznuXUvWkflxyJT3fh184zCYP8OvI+OnQtFL7UZcOzs7UfxULpej\n4T/92Q8PD1UoFMKLA98FKgHe4eDijY2NLg/QLSSTSESwtbWlZrN96tLFixc1Ozurs2fPhqHZ3t6O\nytdqtRod+w4PD/Xmm2/q9ddf17PPPqsbN27o9u3bEYXcuXMnlBf9q936k8CV2oUjBwcH+vjjj7W3\nt6czZ87o2rVrwULAsPGMVMMmk0mdO9c++T6VSgV7BcMitQWNgydarZay2Wx8lgIQKFt8XmobSD8t\nyillkgLW8U2Mt4IB5oxUIhs8dZLA3pSL9s58lsiD4bivbyL3av11v9fHMTBWzC1J1kQiEU6I49C9\nORmX052dna4qceSZ3zGYDt1gCHkvJIObN28GBIdXmclk4v/Ib6PR0OjoaBdJ4pNPPtHLL78czCCS\ntRAN+D/FVmNjY5E8JVHr595yBCdYNnAIMoeTgAHiHFbP/XhVdKPR0MTEhMrlcqxDr9J06Ii/k1f7\nOvjRjaYb6N52I24YPLlKvgDDh8x7a3HPc/UaESJAqdMrymtIvmmcCkVPPxgwt8HB9pFizWYz2qpS\nns3BCAhuIpEIQanX6+E5b29vq1KphGdAoQNMj5mZGX3++ee6fv268vl89JnO5XJqNpvh2VAZOz4+\nrueff17JZFIbGxsqFotqtVoR/v7nf/6nfvCDH+iFF15QOp3Wz372M929ezfweRQ0fF+iFRbTPYut\nra0Q5mvXroVHhMKU2kK+sbERh43fv38/NufIyIgWFha6GiuhROE3ezMphI+ELglwhB4jQNKX7yCP\nMTY2FhsN6uPW1lYY56OjI83OziqZTGp7e1tra2txlBxrw0YhekKQPbHnCh0Dyfy51+hKDnz/cQ0i\nvbW1NdVqNS0sLKher2ttbU2zs7NaX1+X1GmV4MO9zkQioQcPHmhiYiL6Qjk+zbxI3ZEAyp99gZOw\ns7MTkBcwy/HxsW7cuNElKzBqKPiqVCq6f/++bt26pUuXLml/f19XrlzR1NSUjo6OtL29HQ3+WHtg\nT2/P4L3pScx6sRiRNLBVoVDQxsaG/umf/ikgHk+ESt35nfHxcc3MzASds3cuobMiLziD/p29GDl/\n8zoD8hEoXzcoTgPGwPceljI2Nqbd3d0ufcb9AdEQ8bP3MAS/Tu7pVCh6Fo1wr9VqBXZdq9WCHoiF\n5wF9IbzFAcwbVwJS26CcOXMmTnYql8td582y4Ajo2tqaSqWSGo12dzyp7e2sr68Htp3JZJTNZiO5\nWiwWNTMzo5GREdVqtUjIwLChuMRDSgrBECI3CnjReM4wFbjHWq0WjB1CTRQx3g0eh3u8LsB4DHhS\nJLpQruCCbE4PHRE4bwAFlYx7pjsgJfDAaJOTk/Eevxe/V/d03NtxZY9y8NDZn/Nxsm4ODg507969\nyEUsLS3p3LlzymazunXr1ldgG+mrZ4uijByq8XC+10i4ssJzxbHw4/wcOoAJ0vsaBX8nJ+3zEGq1\nWrBxbt68qUwmo08//VSSIp/lHipRglMgMb6sF44HRXtg+2D3qVRKn332mX7+859HtS+JfGfPudNE\nfcby8nI8F4rZoUiUKPPYG0l5tMTwRCjf0QsR9X6e13kvrztU5NC0J6b9uTwP43L+TeNUKPof/ehH\n+v73vy+pU3XGqS/Hx8fa2dmJIhM8VsJEqVMxSdtX4IuDgwPdvn1biURCuVwuWCYYhWw2qzNnzmh9\nfT28+a2trfiO9fV1VavVLthkaWlJv/zlL7W9va1EIqHvfe97ajQa2tnZ0RdffKGrV6/qmWeeCaqm\nH/LhyTEPv1GW7pWxoWu1mh4+fKh0Oq2XXnpJqVQqGkvt7++Hl+XnfHLiEBg5oW0ulwtcFjwTaIr7\nHBgY0MzMTBiflZWVCLFJciPcbEaS52C2UtuDoW0yiTc2cS6Xi8QX/c+lbvyRpDEGz1vB+vX5m7ex\n8I3teZLHMTiIm7U5PDzUF198oUaj3avl4sWL2tra0uLiYpcCcGXvEAxtFJz62AvhuGJxOID23zgQ\n7tHiZC0vL4dxl9qnSnmraqlTlES9SK1W0927d/Xnf/7nkTPa2NjQ008/rXK5HJGc79O9vb2olajX\n68H0kToHa0xPT2tgYEB//dd/HaQDSSEb7BU3EsgAke4nn3wS3jtyCsW111gyPCLkx3UNRAHe6/Al\ne85JDcwzcI5fK5VKxb6k6yZzyz7FoQHCIqfiPYW+aZwKRX/mzBktLy/r0qVLymazqlaroYiq1apm\nZ2dVLpeD941gUozgVpTwL5VKaX5+XlLbq3rqqaeUz+dDEI6OjnTmzBmNj4/ro48+6kq0PnjwQNVq\nVXt7e8HCkTqVts1mUzdv3tTR0ZH+4A/+QE8//bR2dnaCWTE2NqaXXnpJDx480MOHDyPc8uQWCS4v\nlcYzwWq3Wu0D0j/88ENtb2/r448/1u/+7u/q/PnzXS2bCeOnpqbCG8f6kyAbHh4O6hi94vG+jo6O\nwltrNtuVlURRFHvRtArvC+ElvJcUOO3+/n4YB08EE4Ww4cAn0+l0KCD38vC+Wq1WGBDWQeoUD4GV\n8uNMJd+kj2OcnJyEkgI+xMsmjzE3N6cHDx50VfC6seKzwBnDw8MqFApaWFhQJpPR22+/reXl5a88\nJ0aedsMUXiFnUttQTE5O6tq1a1GBSoO5paUlPXz4MD7nDBea4W1tbcUe/Mu//Ev9xV/8hSRF9ACs\nOj09rXQ6HXMBnTGdTmtqakrZbFaVSkWbm5taWVnRp59+GlRgaNRSx5vm3nGc+D9MJPrEzM3NRR7I\n+zU1Go3IQRApOXTjOajeCJY1YHjHTdYMJY2Dgr5ibVHgOHzQUF32fSDbGEsIKo+K0SceZ6KqP/qj\nP/qjP7798fhcnf7oj/7oj/74Xxl9Rd8f/dEf/fGEj76i74/+6I/+eMJHX9H3R3/0R3884aOv6Puj\nP/qjP57w0Vf0/dEf/dEfT/joK/r+6I/+6I8nfPQVfX/0R3/0xxM++oq+P/qjP/rjCR99Rd8f/dEf\n/fGEj76i74/+6I/+eMJHX9H3R3/0R3884aOv6PujP/qjP57w0Vf0/dEf/dEfT/joK/r+6I/+6I8n\nfPQVfX/0R3/0xxM++oq+P/qjP/rjCR99Rd8f/dEf/fGEj76i74/+6I/+eMJHX9H3R3/0R3884aOv\n6PujP/qjP57w0Vf0/dEf/dEfT/joK/r+6I/+6I8nfPw/MvfQ8akszaYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(-M, '-M', [1,2,1])\n", "imageplot(M[::-1,:], 'Flipped', [1,2,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Blurring is achieved by computing a convolution with a kernel. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the low pass Gaussian kernel. Warning, the indexes needs to be modulo $n$ in order to use FFTs." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma = 5\n", "t = concatenate( (arange(0,n/2+1), arange(-n/2,-1)) )\n", "[Y,X] = np.meshgrid(t,t)\n", "h = exp( -(X**2+Y**2)/(2.0*float(sigma)**2) )\n", "h = h/sum(h)\n", "imageplot(fftshift(h))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the periodic convolution ussing FFTs" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "Mh = real( ifft2(fft2(M) * fft2(h)) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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Oaj+fPeuY0N/GPaeo3/rHqbGPkux82SYKzF8KyAOnBOhbrRa+8Y1vWDSdD4mZN1EDgZ2M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\nAqTGzhPVarWaKRgUFq5WrgDo5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(M, 'Image', [1, 2, 1])\n", "imageplot(Mh, 'Blurred', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Several differential and convolution operators are implemented." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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YGHpu1pfdYSiy2WykiZZHf2TYfQQgyXa0lstlUxY2L3nE1+12beeidyCXLl3S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Obm5qyS+eDgQCdPntQPfvAD/fKXv9Tg4KDm5+dNUo1tcYxoLNYpmuJeKA4k+mRssC/E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\n7BUfNzDf29C1EvRMoFvhBIUIyLqwRhA4F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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = grad(M)\n", "imageplot(G[:,:,0], 'd/ dx', [1, 2, 1])\n", "imageplot(G[:,:,1], 'd/ dy', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fourier Transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 2D Fourier transform can be used to perform low pass approximation\n", "and interpolation (by zero padding).\n", "\n", "Compute and display the Fourier transform (display over a log scale).\n", "The function fftshift is useful to put the 0 low frequency in the\n", "middle. After fftshift, the zero frequency is located at position\n", "$(n/2+1,n/2+1)$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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VjDr5dYfDgXa7jV6vh3q9jmq1ikQigXg8jl6vh+l0ipWVFezt7YlxpUrE6XSi\nWq1K8piOKRAIYGtrSwAZ1SScD/xMuVxGNBoVpQ7BD/MBdNBms1nWv8PhwNWrV9FsNiVnFIvF0Gg0\nJBKkfeD55vN5mEwm5HI59Pt9Uay0Wi1RROVyOfj9flH27O7uyhwlJVOv1+Vc19bW8ODBA3FCiUQC\n4XAYmUwGZrNZKDu73Y5CoSASVKWUqIi4Xjye2Y6D/X4f2WwWq6urcj8pMGEehKCXGvzH5ejNX/jC\nF76/M/tfYfzWb/3WF3w+H8Lh8Fz2mYiRC7xcLsvFkb9iJSFvBjkzcoVULjgcDvzCL/wCNjc3cfv2\nbVitVmxubsLtduPll19GKBQSHhCAGAsiSPKWn//85yUMpK7d7/eLwfZ6vTCbzfD5fLKIiaz54Ig2\nycXxenq9HrrdLjKZjHCQugKGCIOLgIk3GmoWXRHJMMpIJpOw2Ww4ODiYQ8TT6VQMpG5Y+buuWye6\nouqHSiNWNlosFkmQ8YfnBMxXuOrJV14bcw583h9Ep+mRl54gdjqd8Pv9MgdIS+iJ31/5lV/59Q97\nXgPA7//+73+BuRi/34/BYIBQKATDMFCtVgWleTwemfedTgeZTGaukI6UDSkNFtbR+ZJDBs4j4n6/\nL87B6XTCbDaL1LXb7QpdYxgGnE4nKpUKfD4fHjx4IJFRMBhErVYTuW+v14PNZkM+nxc9uM/nEypv\naWlJ8jFM3t69exfpdFqADecuUa4uUPB6vQKKmOil8WYSs9VqiUOhk6Tmn8CIlaWhUAjhcFhAlMPh\nQLlclkStUkoM5/HxsVBb0WgUXq8Xg8EAuVxOACTROJO+AKQOgXUAnU4HkUgEdrsdh4eHAlzz+bxU\nH1cqFVE6sTqa87fVaonqiXaMoC6fzwug2d3dRSAQwM///M8/cm4/EYieMkSdj9Y5X502oEG9yCtT\npUEUoKMBSiwbjYa0FXjppZeEu+50OviBH/gB/NIv/RJ++Zd/GZ/73OfwxhtvwOfzzalqPvWpTwk3\nRzRJBQRbOBCZ0snoLRF0mSH1y+PxWJwGqSY9WUteTpdH6iobUkeMJvTX+v0+XC4X+v0+Xn75ZZFk\n0smYTKa5hCp/WEBCY60rlfR7ezESorG/+C8pM/39vD4ad0YpjKYufudFY89/SZPx+3TdP5E0VVmX\nMZiUjMdn+2aTrmCoXiwWYbFYUCwWxfFelAgTGZ+cnEiBEOmedDqNWCyGfD6PQqEgRYfD4RCxWAyl\nUknowuMFB4hJAAAgAElEQVTjY/h8PpHHskLTZDLh7t27MJlMaLVauHnzJlZWVnBycoJ6vQ673S5l\n/byX0WhU1ls+n0cikYDP58M777wjBpgVo0TgbrdbclK5XE5k1S6XC++9957IjAkYWOHMVgVutxvT\n6RTxeByTyQSNRgOFQkGqxlOpFJaWlhAIBOB0OrG6uir3j8qXYrEoqLvf7+Po6AhKKdTrdQGN29vb\nKJVKEiWwUK3f76PZbAqN2uv15mhhOp1+v49yuSyO0ufzSRKc0WwymUSn04HT6RSNPKtsY7GYtI/g\ns2YkxPyC7mAfZzwROvrhcIhSqSSTm9pfnUKhp9TbH9A4EOVzcev8bzKZxGc+8xnx9kxadrtdQcPd\nbhfb29vIZDKSeHzhhRfw0z/90yiXy9jf38ef/MmfIB6PiyfXWzAwQVWtVqWHCA08lQl6QQVpKT0v\nQAPsdDqRz+cl4UInRv6dXCh1xbxXLK5yuVzCddO5MMlFNAjMnBv75jgcDjEmjDj4XPR7Tkel50ho\nYGnEadhpxHneNPbk/Yni6XB4L3XFju7MdcpJl9+xCpnJLB3J6/mMyxq1Wg3xeFw0z4yeqH+m0SV6\nzOfzCIVC8Hg8KJfLEq0xSiPai0QiYhSpgAGAw8ND0dTTkLdaLYRCIVkvbDHCZCmTwSz8GQ6H2N3d\nFVqs3+/j9PQUS0tLkigNh8MYj8dotVoSSbfbbVy9elVAhtPpxPLyMnq9niBbzrHV1VXU63V0Oh34\nfD6srKyI3pw8OlEs61jC4bAcF5glMUndUsrJz4/HY0kU7+zsIBAIoF6vI5lMCuVLWqRer6NUKuHK\nlSuo1+tYWVkR+ardbkej0cDKygqq1ao4Ox0klUolJJNJtNttRCIRHB4eIhgMolAoIBAIoN1uIxqN\nYjqdilOkjTo8PMTVq1fFAXDun/VnQiqVgt1ux3Q6RTAYRL1ex/LyMrLZLEKh0EcrGUs03+v1BNVT\nhkWZFflHojiOyWSCer0uyS6dlkgkErh9+7Zkt8npkZsuFApSlMRGTJVKRULke/fu4fT0FMFgEJ/7\n3OeE46Q0q1qtCndntVqF12RClXQFDU4wGESr1ZKJqUseOamJAClFo+ElSiHKJ5XDe0BDwApD3gud\n5vnRH/1RMRr8oSMgbcDz1WsQ6Eh0KaqOrPleyhqBGZJlhSQTUqTRdLSvI3sA3+Godeet9xphpMVj\n0lHQAfGaGTld1kin08KBs5fRwcGBXKthGKLScLvd8Hg8qNfrgu6GwyHy+bxEK16vF/v7+3PCBEoG\n19bWhPtmwlzvW7O+vg7DMNBsNnFyciKGkYV/AER1o5TC2toaRqMRjo+Psby8DJPJJDJLFvYBECS+\ntLQkETPBzMHBgSSRbTYbcrmc5KQmkwlWV1dl7pEeocKF+QieJwHL3t6erCmfz4eDgwNpIMY1SYmj\nyWTCzZs30W63sbS0NBcdkDKz2+24fv06Wq0WotEotre3RQ7LHjy6sokgy+PxQCkFl8slDpq5Aa4z\nPlcWvY3HYxwcHMi6CYfDKBQK0qKhUqmg3W6jWq3CZrNJPmw4HCIQCCAWi2E4HEp+5WLR43cbT4Sh\n14ugaChYBs1QSPd2fB8pB51D1mmFt956C8FgUBAmaQOfzydJQjYJ4sMxDEMSlJRbUetMeuQiOtON\nD7lRXQ3D69FVKSx4+qBiIL2qk4aK/7IXjy4zBSDctn58IoHpdIper4fl5WXR5+qDFAE/p1NEPK+L\nBUmks3ivdbqFRpn8MSe8ToPpCJ+f0+WvOoK/qO2/SOvoKiZdacPjX6ahN5vNSCQS0vfEMAysrq5K\nYtzn8+HVV19Fr9eTLozMTZG3Z/Lf4XDg5OQEy8vLklDktTUaDRSLRcRiMWxtbcHj8Qgi5+dbrZZQ\nJRsbG1LQMxqNJEfF4iTeN6fTiVAoBKfTKdF2q9VCoVCQXjMs7CoWiwKC3n33XbhcLqyeVdbS2K2t\nrc0pyw4PD+WZkh9nnqvT6SCZTM4lNimCoJjBZDJheXkZ4XAYBwcHc4VlZrNZ8l4bGxuCwNlgrFqt\nCn3LyAAAnn32WWxsbMgzZETDqIj002g0QqFQQCgUwtHRkSR7i8UiBoOBSFD1XBxltHSMjUYDoVAI\nPp9P6gooSGE+wePxyD2jw+S5Pm4bhCeCuiHFQERIAzGZTISDI+qjI6CBII1AKsBqtcLpdCKVSomB\nYSike+NGo4FoNCr9Z5rNpnB/w+FQuuEBkHMxmUzSTpT8OwuaWMRitc5azpI6Ac6pDtIzxWIRPp9P\nHj6NPq9vPB5LcQdw3kLA5/NJWAhA7onb7ZY6AToufi+R/nA4xMbGhqAK/dzoPJgP0BPhdF56MRXR\nN3DO19PQ6slbFp7w81TPsOMgr0E/jo7sdSkoX78opeQ91d8PQJKTl03dAOc5GXaGJO/barUkeqPe\nmqoci8UiYKLRaMhztVgsKBQKiMfjODk5QTKZxDe/+U0AkN4ziUQCtVoNJycn4oyj0SgsFosgQNY0\nUHNus9nQbDaRTqfnIrs/+qM/ktYFdrsd4XBYkoc0tIlEQoxTqVTCYDCQylPSanorilgsJqBkdXVV\nPgtAQAiBGYEef2dbYBpo0keBQADJZFLow+PjY0Hc1WoVmUwG+XxeOqoCkPbfgUBAjsMOmMCMdvN4\nPJK4ZpKaxvvq1avweDx4+PAh3njjDalbIOpmdEHnSADEJnG8N6S0WFfCNhicJ8zFnJycwO/3Y29v\nD6lUSnoDPc54IhA9L5pUwnQ6FYTIfi182OSAAYgxCgQC8Hq98Pl8CAaDiMViiEajUGpWju33+4XX\n1qWXNpsNW1tb8Pv9MJlMUsnWbrfxla98RTTiNDSUUvEcWdikUwcsk2ZvEho5OhA2NGs0GnN6fsol\n6blNJpNEAVTkkNYhP6gbOp2+cTgcco4+n0/aJrN6UlfyEDnTyDOSoSKAOQ2+pidpicp17TyfJ9E/\nnaAui6Vz0ytuSeNc5PCJ/HQDz/PWlTe8XzQM+r24zEEjbTabpRUxFVls9ct+5QBEq00tOe+x2+2W\n3jTsTur1epHNZrG5uYkrV65IwQ5li5lMBtlsVpAwlVgulwt37tyRpC9zCJFIBG+//bZIhfP5PN58\n802k02lUq1Whe/gcWdnL404ms4ZnVMuwgtrhcKBer8NisUiTwmKxiNXVVbRaLaFWJ5OJzLNCoYDR\naCQRNF8zDEOKm5iLYuSjzxmv1ysJcFanG4YhXL3T6ZQmaNlsdq4p2s7ODgqFgkRgvGd+vx/xeFyq\nfdniZG1tDYVCAW63W7rVWiwWJBIJbGxsCOU2Ho9RLBYlWU32gPbi9PQUyWRS1t7S0pJEVd1uV6qc\no9Eo9vb2JFH7OOOJMPQ6LXCR+9UTdbrsTtdR00jpPyyIIOqn7p6JGv1v5AaZrNzb25P3kQcvlUrS\nrpgcIj/Dc6bMjTp2PdqgMWNkwMVPw8tohkaL7yH6ZlTDvwPn4alOExFB0HDq39Xr9bC6ujqn1OEx\n9KQq/64/Hw4ifL5Xp1106uwibaLr//lzke/XqRwel8e8iOj13AD/5TXr53rZ1I1SSgqM2F+e1B9V\nGfo5Up1BA0/jPRgMsLGxIZJavcUA6xN8Pp9w1UrNNqfY2trCZDIRY2EYs7bJb775phin3d1duY+3\nbt0SpUssFpujkex2u1SUhkIhPPXUU0Jfstbi3XffRaVSEQNERVE8Hsfh4SFSqZRUBx8cHCAajcLp\ndEq1KzDj9bnHA6ksggjmoRqNBkqlktwntnbm+bC9MGWVpC8Hg4EUQZFeTKVSkrx2u91IJBLSKpnt\nJQh+AAjiZptgrtFqtTpHT45GI2xvb8v+FrFYDMvLywBm0RfnQbFYhNPpRDAYxP3790UdSNURFT+U\n2fb7fWxubuL999+XSOhR44kw9MB56ToRsK6X5utEMYFAAOl0WgqkaCz5XhouevBSqfQd1Aj71vCh\nra2tSWVeu92WVsecxJyoRN7lclk2ueD5hsNhycpz4hPJszcME1GcnOTH9XPnd5jN5rmmRlRMNJtN\nQapMLvH+kPaiE9QTSP1+Hz/zMz8zZ5z53XqVsU7P8L5ywdOgU51E5Y6OpngdesETk6N6NS3DczaO\nu1gk9UHGntd5UU+v1wDwfvGaWZV8GYOFNNT7s4SdNRZUPAGQSMnr9Yr2G5glBJlb4fXwurnJDI1Z\nOp0WQ8Hin8FggGKxCL/fLz3p7927B5Np1o1UL9IbjUao1WooFos4PT2V52uxWOD3++Hz+fD000+L\n1p2SXl7LSy+9JBE1k5SkMqPRqHzG5XIJ/dBut6VlgtlsltbdvGcWi0V2emK1KYvCrNZZt0sa2YOD\nA2SzWXFc3MhkOBxieXkZuVwOhUIBJycneP/992EYBg4ODtBsNkXDzzoHt9sta+0b3/iGRLZLS0tI\nJpMAZvOsVCoJnUqnTsS+vr4ujptGmVp6OlS3241sNotWq4XVs2IpFrzZbDa8//77c21IVlZWYLFY\nJGfwOOOJ4Oh1CaGO7rjYiTApo2Q5MD0eVQAmkwl+vx8/9EM/JIaKCyoYDEpiUG/8z6QJncaf/umf\nSim4/n29Xg/xeFx6SrvdbuFNeRwAUtlYq9XQ7/dl8ZJ+sNvt0pWSn6PGl1QNfy7q5gGI8oTJOeY0\naODoKLj46EyA2eRzuVxYXl7G7u7u3HcwyuF1Mxrh/Sd/yOOQ99YRtMPhQDQaFXlfvV4X5Q0rafVE\nHJ+znpxlPkK/B3QIvD5W3bJARc/d8PyIhPRo4DIGoykaW/LoW1tbyOVyCAaDstgrlYrMTxr0WCwm\nGnY6MlZnMomXSCSE6hgOhyL1GwwG2Nvbk8JAUnjJZFLEDZPJBJFIBF/72tewsbGB/f19XL9+XUrx\nyWHncjnR+LNdAhPM0+lUwEW1WoXZPKsMbbfbiMViKJfL4sy5vwL/1Yu6SPPt7+9jbW1tzskYxqwz\n68bGhqBvJmzNZjPS6bSAJ9KjPC8CGKWUSBsdDgeSySRyuZysZ1Yns71HLpdDPB6XXkA831arJTTS\nZDLb7pStUhKJhORigPP8GmXVrAMym8+73VI6ylwlVTaJRAKj0Qi3bt2S6J/znHP/cambJ8LQk3fm\nDdBpB52b1Stimdzga1zMsVhMQi6llEiyGKoR6dNg0IDpdA6VM3QerETkRD85OZGkDj/PiIQ7wXBS\n8HdqnmlAmeXXv5PImRPzIsJlhMHSdLa4pREE5gvFiIja7bYYv+FwiFQqhf39fVnopH34oxd5ARB5\nJJOKvFdETeRl/X6/IBtg1hSr2WxKyDsYDFCr1bC7uyt9uPXzvYjieV85ODcY9ek0F+8B5wnvrS4b\nvYwxGAykz0ssFsP+/j6uXr0q8+piEprl9IPBQBJwpPUmkwlCoZDosxmt5fN5RKNR3Lt3TyIkFkx5\nvV602220222srKwIoGAikKjx2rVrsFgsuHHjhszVdDotWvVwOCxiBCYnGQ3yOTSbTfh8PjHclEey\nlQNw3jvHbrdL3/jpdIqdnR08/fTTcDgceOGFF6SfSywWg8vlwp/92Z9hY2NDmupxjevrpFQqYX19\nHYeHh4hEIqJZt1gssjEL5xfbma+vr6NSqUhk5fV6JZJhparZbEaz2cSDBw/gcrlw9epVccKMMAj8\nAEhSOhQKyb4abrcbe3t7SCQSYtPY24rVz16vV2gu5m9I95VKJXg8Hvj9fhweHsJut2NnZ0faJD9q\nPBGGnuiCSE2ncagI0Q0RZY5MfNKzjsezhvxMaHEzD6IgGgC2M6DyhXQAFS1MGFHbPplMJHHFbn9M\ntgKQjY1NJpMgAtI0fJBUmugGio6ErRTI8euNxgKBgPx/NBrJoiHvT0NGwzaZTJBMJkWayiZMRFSU\n6zFi0rXv5Br5fvKIoVAI+/v7KBaLYpiI7m/cuCGOh9EAz4sOtNVqiSFPpVK4cuUKAKBSqeDtt98W\nGgKYl0Xq/wfmeXngPHrha0Q9REtUNT1uePuXMfx+PyqVCpRSiEaj8Pv90i6ASVAacbPZLIufPZX0\nOor79+/PaeXZNVLnnFOpFEwmEzqdjujFJ5PZZhZMiDNCsNvtoune3t7GzZs3YbFYsL+/D7/fj+ee\new5f/epXsbW1JWozNgADZoIG7mHLxD15c7ZT0IvxOCeYxzo4OEA6nYbdbpd7YTLNetI4nU6xC/v7\n+9ja2kIsFpM2CCaTCScnJ9L6IBwOS/EZFUKpVApf//rX8corryCfzyMQCKDRaCAej0vrkkqlIiII\nSrr5bEqlEpaWliTJzB5AVBs9fPgQS0tLc5uXEMywx47b7Raah9JPJpn5f+YZSd20222JakhLc52z\nvsLj8eAHf/AHH5uWfCIMPY0HlTUsAGHCTk8+Eo3rGm8aAoYyXNicmCaTCcfHx2JgSRPU63XpJ7K3\ntyeFLV6vFw6HAw8ePIBhGNJ4iSXdRGhUxLCrHx0GOfHhcCjFHgwn+S+vgfQEJwkpCdIcpVJJ+GtS\nKET1euEYES2dJQ0rtbd6QRkRNhE5Ky2TyaR8HzBrTcE9QDOZDL74xS/O1S8sLS1JspoIX1cA8Xka\nhiEVu1QpjcdjOBwO/MiP/Aj29/cFaXJisxKX0QOfNb8LOG8ap0s3eV2cF7qjuIxxfHwMAEilUlLx\nzDYTRIp6v6JgMDh3fTz/UqmEq1evinwvEolgb29PEqYAEAwGMRqNZNON/f19kXGy+I6onI6AuZ7l\n5WWhKl988UVZH6+88orsC+DxeKSS9c6dO9jc3ITD4ZCtMiORCEKhkDRko6NlszOua7b5/sQnPoHJ\nZIK9vT1RpCwtLWEwGMgm8Wx5zIIzVpmz/wvROHdqY2MwSqVfeOEFnJycYGNjAwcHB/D7/SiVSrIJ\nSzwex8OHDxGNRpHNZnHjxg0BbGtrawDO93BgOxGTySQKKLZfKBQKeP7557G7uwuPxyP9crLZrNBD\nrE/glqO0a/l8XtoRM9JIpVIYDAZCKZnNZnzzm9/Ea6+9JramXC7P7Uf7vcYTkYzVFyKpA70SEphH\ndgzrLw5dPRIIBDCZTFAul6W/ts7/X0zwsQCDvB43GeAEAyCohd6fxlffUIHhLPvT0Blw8uhVs3Rm\npFWo4tGLvi7Ky4j8dEqLyU6ifDoRvR0A7xsAOTfK9uLxOEKhkGyWwH/158EwltXFTFzrhpjPSO9R\npFdw6tpoFpwQHfF8nE4nAoEAEonEHG2jF2Exqctnwypcqir0uXGR2vqwR6lUgmEY+NKXviTGR484\nSOs9fPgQAODxeOByubC5uYnT01NBepTnsbWuTgsCEP7a6/UimUwiFAphdXUVvV5PtvQjJXF0dCTq\nFFbCspum1+sVUEB1DzC7/1SyAMDt27clEck2HKVSCQBEqqn3reFz/ta3viWKoFarhUajgeXlZayu\nrgqtwd4ydIqsW6lUKigUCsKHU4FD0cW3v/1tuN1uPPfcc8IGsLALgPR493q9InJgVEKenzktXdkE\nQBKpBEk2m00Sppubm7h58yZ6vR7W19cl12S1znr5X716VVqt0JYcHh6KvWBylbkAOkJS1HRM3IOa\n1coej0ds26PGE2Po9R/yWkS7XKw6oqORAM43lH7rrbfEWJbLZeGf2SebE4NokYuGPDbVJGazWSSU\n1NWTwmFoSJUCC11YeEVkq1evsTCGBlmvWGUBFx2EjlA5qViVy8mm00RM9tGgDgYD7O/vS6RBlKPv\nZBWLxZBIJPDcc89JlWU+n5dt55jcplSMaJkbT3Ph6tJOngOfDSMKAHKviNpJK00mE9lZiHQR+fdY\nLIZPfvKTeOONNyQfwvfx/pI60+8l2ykzuuP3XtZ45plnYLVa8cM//MPiPIvFIoLBoDwfynuZ4+Hc\npoKGHR6JXqnAYE2D2WzG7u4udnd3ZYObdrstqpG1tTVYLBZcuXIFlUpFkrhut1va/PJ3AFKlWSwW\n4XDMdo6iLFJ31KFQSP7l6Ha7shlINBqVOdXpdLCzs4NXXnlFHDIly7rSB5gZ1UAggEAgINEtE8Ar\nKytSuDWZTBAMBmXz7Hg8PqfK8nq90t64VCrB5/NJK2NuPD4ej5HNZlEul9HpdOR+MycXDoelHTO/\n+yJ92mw2JarnbnJcI4yCKpWKdNysVCqyLyzXzPb2thR3RSIRiYzb7Tbi8bjsO8wkMTt/cuPxR40n\nwtADmEPrNFiULuoGg86AISE39xiPx7h7966gURpOt9stBVOhUEgShtzliQlZ/lBlQ3pG5+nJ8Xu9\nXtl/ko6CyVdONLZzJQpnlZzekAw4bz9wMQGq5yp4P0iJEBVeTEACM4RC5EtFCh0QUbnJNOuxkc1m\ncXp6KsaFRpvKAEYtjCiWl5extbWFa9euYWtr6zv4egCicuD30FmTuiFXy3PXNflUERFtUk76mc98\nBrdu3RJaiklx7nwUCoUQDAa/owCLTuEyqZtarSZ5F6JwVmzq6it9Gz9GSCaTSeiDfD4vNGMul5Pd\nnRqNBpxOJ27evCntutvtNu7cuSOggYqT4+Nj6aHCOT2ZTKQdLiMqbnaRTqeFurx7964AlOFwiJOT\nE5hMs60u2auFBnB5eRnT6Wz/W5/Ph+l0KkWNtVoNXq9Xro1SU0asvC+seWH+yeVyoVgsynpXSmFn\nZwftdhv379+XfliMxLlW2GuJERHrFLhGnE4nXnrpJYTDYSwtLclm66FQCMfHx3KP2VCOLRuokmGP\neeb4mOdiDqFUKiEajSKdTmM8HuPk5ASrZy0wKPKYTqdCbREEsadQMplEoVAQ3b7b7Zb9bLk37+OM\nJ8LQX0y28UHSwNHr0YPqtAgnCPktvTSaahFWiIZCIUQiEYTDYayurqLT6eD09FSSnESjnARs6ar3\n6tbVNFQXUMrFh0adMwc56UqlImiUUlKbzSbFMzScDHO56PUNBujVdbUJvT+NOqkBIgTeI6LlUCiE\nw8PDuVYNRMM6DUPVTqlUwte//vU5ioqaa+A8Kapr23XaiB0WeV7sm0KHRWRut9sFDREF0gHH43G8\n9tpr4qB5PFZg0qDpEQMA6QB6WYPySbN5tvHE/v6+KCr4/Llxx2QykUpwznPSXkSA29vbCAQCAmKm\n06mE9i6XCycnJ4hGo6JW4dxwuVxieA8PD6XKm4ax2WzK39ikj0akXq/j+vXrUq/BivLj4+O5TrNc\nR1RbsfEfc0V05qRmDw4O4PF4RDHE82XVOs/d7/fD7XZLZ0pq+J9//nkkEgmkUikAsx41LIIktcNz\nICIOh8NzFdSGYSCbzcLj8WAwmG3K/c4770jHT7Yx5vWtra1JxM86BM4vii6AWRSfTqfhcDhkM3ab\nzSYGn5u0c29fh8MxJ2VeWlqSBHomk5EumMPhUIAZc4yPM54IQ68nD3WjD2AOvdKwsa81/07Uy4w+\n/84+NPwsi6BoOFnwU6/XEQwGpccIHQcrCUlhEMUQmTocDtl0RNeHMyHL45PL5uIm8uT16TUCvHbe\nB3LZOiXC9+i0iV6LwPPV38tkH++nrmK6WNXKoZRCPp8XhMf36Zp+fZLzM4xGgPn2wnQ0+v/1Ggje\nOzoKKpPa7bY8Dzo6KorYtIr0FI0Iz1ePdi5jkHbzeDyIx+NYWlqSRDvnHpNtDPutVqvQMGx/wcrJ\ndDqNZDKJ0WgEl8uFWCyGQCCAr3zlK9KtkuowFlzZ7XZ0Oh2srKwgnU7j2rVrYvxJ/7DFLucJ9y5l\nfxnDMKT3EvMGKysrkiMBAK/Xi3feeQfb29ti2OmgvF4vDMNAo9EQVRYVckrNNsexWCxzUkWi8lKp\nJDUnnOusCbDb7aI3b7fbcDgcyGazouNnG2UiYPL+pEIp/93Z2YHD4UAwGMTa2prQu2zoxhbFwGyO\nh8NhFItFVCoVnJycCKDy+/3Y3t6W8yf9Q218o9GQKJP3j9QoFVJsFse6C25lurKyItX5lUoFsVjs\no4XoX3nlFfGEH4S+qPuldpySP10/T2NLVEvkTMomGo1KS1ZWqXo8Hgn/DcMQORiLMFiVR089Go1k\nVyAmAJ1Op1QB9no9KRAi2rRYLNK7gplys9kse2vS0OpUDB0TUThVNuw8SHqJXD3pHCb4GNUQ9VJC\nydCV58DEJnAuT2RhjslkkuSRrkOnMW61WnKO/DypJj5LnZ6h8WVYy3wJnaBO4dC4E9mbTLMOos1m\nE5/85Cfl++v1uiB80mIul0va/fLzl2noOZ8YbWYyGYk8dOfG+UfePhaLCXfNClA66lqthkqlIonz\nVquFa9euSaVpMplEo9GQQsB8Pi/Ns1qtlpT6s8Jbz6d4PB7pKc/Nx8vlMqrVqmx4QQr04cOHso44\nd15++WVpPQLMogEWCtHxTqdTNBoNnJ6eztW/kG4lKuczpx6dbQHC4TCi0agYb10EQGNaKBSQSCQQ\niUQkEvd6vTg+PpYiLUaMSimsrq6i2+2iWq3K1oR600FGUdPpVHJ+/f5s85ilpSVR1dABMpdFx0Lx\nAjdb4bGp5LFarSiVSlhZWcFkMpHiubt378o6YhsR1mboNSqPGk+EoQeAF198EdeuXYPf7xc0Su9N\nNEtFAHXbNBg0YkTVa2tr2NjYkMUOnFfI0rCSh19eXkYwGBS+Teeo+QAo6eKCYFtWUhKj0Qhut1sm\nGxOC5MYpceR5kjdkMYq+2HXulNd4EUkT3fL+kNslShmNRnObivO45Ev7/T4++9nPSq0Cj8lr4Wep\nOOBxgJkjZhjMH0ZTuoad30PkzmdINMXjsS0rHTw/wypBNvgiHzyZTPD6669LsQwXERd/PB5HNBqV\n3XmYE7isQafl8/mQz+fR7/dl8xqqnkgTkrZg500maEmZcD5ks1nhwVl7wU3GSUk6HA7cvXsXtVoN\n0WgUDocDhUJBkolms1m6I/Z6PYRCIWSzWUynUxSLRQFU5IqZH6ChYoTAcwqFQmg2m7h//740XWPD\nQYImbmyilJLIJBAIQCklRpZArFwuC8hi9TrnUq/XQzabxVe/+lU0Gg20223R3XPDcp/Ph3q9LvZh\nOvKKCmMAACAASURBVJ1id3dX1hOBk8/nk3McDodYW1vDcDiUSm5STXRolE4rpbC8vCwqKdK8lM5y\nkxSuITaXYzWxLn1mZBKJROSah8NZz3mXyyXzmuuKEkzdoT5qPDGGnjzkxsaG8M/AfNWrnpRlGKdT\nFFR3EDkwrOWmHczAU2HAhCGThzRWOodO1MnPkDLRqwI5+ZhMASAcORcCJylf40PTKRwadH6O94WG\nVn+odEi8dp4vaSydPiFSBiCKDib3dJmmHhWQUtJfuyhT1ButXZRT6gVQfI3nzO/U+93wmRmGIRuN\n61JJLng6tOvXrwvtwB4yfKak9fhsL7My1uVywePxYG9vT4ri/H4/DGPWY6XVagm4YTUrKz8pf9SL\nh3w+H27cuIHxeIxQKCQtdjnvKQ3UO7NSPszNrznXGGENh0NR9Oi5F0odB4PBXKESX+t2u0IV8Xk/\n9dRTomUnKCIF2mw2YRiz7fzI4ZMiYWRMSsblcoksstPpYHd3F2trazg4OJBI/fr161haWkKtVpPo\nhZp8bv49mUxwdHQkwG4ymci+r0tLS7BYLHjw4IFU9RKsLS8vS3EbKR5G9VzPVL25XC7UajXcuXNH\nNonhfWS74WQyKcVpJycnADBXrVsqlaTegeuJn2NynYo+Rki5XE4i8keNJ8LQs4iARUmxWEykSPRq\nTGixdzMASdzpqpH3339fDIdhGFheXkY6nZZqULYzpryMHPr+/r4kZ7ntIPkz3kx6anJk5EB5TGpn\neS0AJNGia+VHo5Ecm5QJURslnjq1cVFaqqNocoFKKXg8HnF2VHMQnTO5xrC2Xq9jfX0dm5ub0u1Q\np5L4vTxHOg/SQETzjKqI2uhw9M+wOEpvgEYUQ5SjyyH5/XSW7MlOAzQej7G0tIRPfepTgtyJ3Hiv\n9HO4zGE2myUhy4hJ34iEvC+NGwuSqO3u9/siH+TzYDKedBBVG/oOXrq4wGq1StdMigtY1NTtduF2\nu3F8fCy5joODA4lij46OpHcLlV8AJO/AzUSoLqEq5urVq7BYZq16SalmMhn0ej1sbW0JUqaDoEyR\nRpw1J6yJyefzGA6HeOqpp0S5Qz082/dyMxbqzxmZx+NxuXepVEoaoBGkXb16VdYG9wDgpiy5XE54\nda6jBw8eSMTKHkKxWAzXr1+X6t3JZCKOfTweY2dnB2tra8jn8zIvdMBDxZTuHPRaHdJ33C6UEtTH\nRfRPRGUskzHADKnevn1bDLVutC9SKLlcDvV6XZKFAHB0dIQbN25I2T03X7ZYLFIsQR0vk7UOhwPL\ny8t49913ZfKQC6MMikoA6sl1RQJ1x+z9TvUEKSIaZe5PSURFlEDDx0ZtNN6kLzhh6Bx4z4DzjRo4\ncXRJJp0F+cFOp4N6vY5qtSqZf4axLFBhV09d/cTkLpNI5NTpYD4oicz/66Ev0Tyvn8lYTthKpSJG\nsVqtyt+5cTOVCUy4s+8LN3Lgfbn4c5kFU8x1EFTQ8BLE8NosFgtqtRqUUtjd3cXVq1clCTsYDKQ5\nGAChMVhCTwPM6teLe4/SSUQiEaFE2MulVqvB7/djY2MDzWYTFosFr732GprNprQMWFtbg9U6a999\n8+ZNkRSbzWaUy2U8fPgQL774IqrVquS3bDYbdnZ2RG7JDo2c42xXwIZ8eiTJSAGA9Iu/cuWKIHfK\nI/v9PmKxmBQ2MTfRbrfFEXS7XRwfHyOVSsl+roFAANPpVNop+3w+ZDIZHB8fS/Uq1ytzg6RxTSYT\nnnnmGezs7CAUCuFb3/qWtIigco3RP9Vodrsdzz33HOx2O9LptMi6ucMVI7fJZCKa/I2NDYlE3G63\n7Eq1s7ODl156CeVyGeFwGPv7+483D/9ypvdfbLC4gLI5GgJykDTiOiVgNpuRSqWQyWQE4RrGrDSa\nk5TUBMN9UjN60o8o22w2IxqN4vT0VDhjauzpWYHzLQF1GomVhKzMBc6pGBpDk+l8mzBdWUKERORK\nfl7n6XkujFooPaOx5D3h+fCH10feXW9JQKUEj8l7R9QNQL5bN96MbnRHTBTP8+F5kOa6eM3Mv9Dw\nc6GTCqIhYcTCa6TckAvIMGbb8lGWd9E5cVymvLJUKklCmzkK3gPqrofD2W5E3PgiFovh9PRUnADn\nxXg8RjqdnqPB6vW60JFWq1V2f7LZbLIxSKlUkurYdDoNANIKgAaGjkOXHtIpsdjvxo0bIl8lx221\nnu+VzP4tfAZbW1vY2NiA2+3GH//xHyMSiUj/pGazKc+WUQipOI/Hg1wuJwlKKn/YSoGUD5VFF+dd\nPB6X3AbRL1mDRCIhbYKDwSBWVlakpoRyRuYAm82mbBROtN1ut/H+++8LjXT79m0UCoW5XB6rWcfj\nsSSxh8OhRCzMxejFZzs7O3O0G/MYkUhEQJ/T6cTt27dRr9dht9txeHiI9fX1x5qHT4Sh1xOrwPmO\nUxd7sgDnhozUgt/vx2uvvYZbt25JCP/222/D6/VKOT3pn+l0ilwuJ/s7FgoF5HI5PHjwQJIoLM0m\n/cFkpx62suhCz/xTJsdJQcqAhR9MmHJC6GEbjZzO39J5ERVTgsV9bEkBkaIh/0iOn/eVzorfRYdC\nyov5gsFgIJEHFypzEjSiPC5RCM9PR81cdMw/cBHTcQOzVs7JZFJ6eXCDdobrTMjyuJSU8V4wHG40\nGvD7/Xj11VcRDoeF3iOapZO/TPqG1F04HJa9T6meYFfRwWAg29oRwU8ms/a3oVBIEHkwGEStVhNk\nzx7qSs36sDMpy/0UEomE7Ga0vLwsUSFbDRBgcRc2tjjg/09OTrC9vS3cPSWCHOz7RMqGc50Gjooo\nk8mE9fV1dLtd2VeVlaI6L05a0Ol0ikNispP1H41GQ6hArgMqgNiHnxQsk6yZTEYKm2hcCR7L5bLo\n0Sm9JiKnfJqtHRiVXb9+HdVqFevr6xgOh9LojNX0pMi4FSGpYa4j0kvMkbD6lV1g9XvMKIG70unr\nNZlMitjkUeOJMfRUn+hVojSMurqGyJBUDtH32toa3nrrLSSTSfzhH/4hfu3Xfg1KKQnreBwWX7Ca\nMhKJYHV1VTY2YOUrwzsaGU4OImmqZ7iQaaS4SNm8jAhBlyISKVOFQy7xYs9qenfydnqrBUoYGaUw\nomCCiCie905vsUDkwXvjdruxsbGBZDIpzuIiv60nNXl8ImuibeY7iPRo5AFICAtAKgxphHR1DqMT\nvR6CiUkAc/37gZmx6fV6ePrpp8Ux8ft0NdJlDUaK0+msUrRUKsm1JZNJadSllJLt+pjT0SWYuVxO\nCqkikQi63S68Xq/cbzZDY2fI6XQqPYOuX78uxpdUGADpZOpwOFAsFuF2u5FOp+eM7bPPPitAoVqt\nYjqdwu/3IxQKyXxjYl/vkJlIJDCdTgUMRSIR1Ot1rK2tIRKJoFgsyhaHFstsUxOPxyNVt4yUgdlc\nCIVC0sqACWyeS7fbxe3bt1GpVESxFAqFUK1Wkc1mJR+ibySSSCSkGrXf7+PP//zPBdhR9snWKJlM\nRijI4XCIcrksm3yTwmLtQavVQjweh91ul9dZP0F7xj2jqZqhXJXV9KxuJmjyer1SXf3++++L+ACY\n7Xb1OOOJMPREYHq2n5QCADFUdAA09Kxi1emRtbU1TCazjniUOHa7XVHpkArSK2t1OoCDN5hJEaIa\nGiXeaJ0y4PnQU7OzHekinfLhZ1k8AmDueigL1KuCTabzfW35vQCEpuF1EEHTGVIpQOqG/T7oIKgq\n0ikgHpcGlb/rxheYcdBEYrqqhg6Z50EnwAiJ94fPjs/CZDLNtZ/g8+bgfaRCiJSUyWRCMpmUyIEO\n9DI19MAsegFmPWCWlpYk8V0ul+UZABD9+9LSEnK5nCC9g4MDTCYT2Ut0Op1K8y5GK4lEQu7l8fEx\nfD6fRA/9fh/b29uw2+2iHWcUqHPapFFqtZoYL/25ElmyToPzsV6vY2NjQ5Q23A+X18CcFQDpN9Vu\nt/HUU09JRS8N9tHRERyO2YYgjNg4n/b39/HgwQNBwyz/Z/Td6XSQyWQwHo/FYezt7YlteffddwGc\n15ZQyklHd/36daFdCFI8Hg/q9brYAACyS9bOzo7s0sU8yJUrV5BOp1EsFqXKtlQqoVarCb17cnIi\nVN54PJ6TYTLSI2VGJ16v11Gr1eDz+SR/eXGLxUeNJ8LQ02DRkAIQKoEKGSYYydPrSUkmZ6fTWT+X\nN954Ay6XC7/+67/+HclDVsSS/iEipxabihLKJUOhkCBvJmUogaKXB84pC/7OfvWkWrgo2R8eOE+g\nOp1OMdRETVxMNGJUoPD9RPh0IqQteJ+A852WeGxywSw+oeIjlUpJFSZwXpihG3qidt3x0IgSYdBo\nsSCNz4eGnJI8ohY+Dw5GKjTsVEYwScc5ws1kyHfT2F+7dg1vvvmm/J9O/TKpm06ng8PDQzgcDmk8\nxnA/Go3C7XbD5/MJWm2320ilUnMAgHysUgqVSgXXr18Xo6jPVyo6DGPWW4jqj62tLYkOdOfKZC8A\nSXJbLBYUCgVJ0Futsw1IwuGwUBXsjcPPUviQyWQEaLBinGCD9OSDBw/EQROEMdGbSqXEEOu0KTX4\njBLYdoG7xpHWcTgcki+w2Wx4+umnkUgkpJ/N0dERgsGgKI503tzpdCIWiyGTyUg0WCgUpOMoI6V6\nvY7NzU2JYCqVijSS0wuuptOp0LuMtLgWV1dXJbl7dHQklb10Sp1ORxRQFotFWrewGJPR0cnJyVxO\n7XuNJ8LQsycFUSyLSlj+TRqDSIRcld64irwty5ZffvllHB0d4fT0VHY9YoEKizKoCyZiSSaTQhHZ\n7XYUCgVB8KR1qGqg0od0CCWVlB0SWTI64cLSIxUiU13RopQS/S45cRZREdE1Gg0xtHo0QiTL86Kh\npqNgArZSqaBSqcjnDg4O5Fp5XjoapgHXDaaOsunISAP9f9S922+b6XX2fXEnas+dqA1FSdTGlu2x\nPTOe8UwzmUmAQVIkJ0ETtEVR9KBAT9qTogiKHvf7C4oe9Kw9KdoctQHaNE2Tpm2avMhuMrZje2yN\nZIuiKG5FkZREasvNd8D+lm76fZHxi+9r7D7AYGxZJB/ez32vzbWuda1nWS4YeqIfIn0yFr4nODz3\njONyWTpuzwQOEQwT6ItDB0aMA3sRVzAYVCQSUalUMqgQ2qJb+ERygD0jyeCKdrut1dVVm6/Q6XRs\nr/Ks7t+/r/Pz3iSoYrFo54P3JmIEV89ms8YkGxwcNFZHq9WyVnwXN8eYEWSwp90Ocgza/Py8yStE\nIpE+CuTo6KjGxsasYAq8NjIyolKpZASGtbU1TU9Pm0ImRo15rhhNN1vl/MBG8ng8qtVqOjg4UC6X\n040bN+Tz9eZdDAwMqFqtWo0MJ4q2FvaGz0NRl+7aubk5g7hAG9xmp0AgoA8//NAazPb3943hxLhD\nqRcUMXYU2vXExITGxsa0v79vMsS7u7uW1WFH5ufntbW19Vz78KUw9EAYHGSgCww6cAHRPIVLt+jI\nn90oeXJyUj/60Y8s/QNzdzEuokVXGZGIlENCk5FLNWy1WjZZxoWdkCTmd8k83CgFA+wafBcDZw1c\neQKiW5zds0aezQ8P3U0H+R5onvBanA4G9tk1xXFQLMf4Y/BxtPze/6lJyW2kAgLjvnCMrDvG3V0n\nXs86u8wdvrcLI52fn+vWrVt9Tu9FdsYWi0VJsuHymUzGCn5g5ZLMWFLQw5FjrCnetloto/ECefj9\nfr355puWtR0dHSmbzdqeZzC41+s18bJQKCSpl3FMTk4qGAzayDo3KDk+PlahUDAjTt0LrR7okKen\np9rf31e5XDbj2Wq1rEhcLBZNS8eV7PZ6vQaBoJaZy+WsEWpgYMDGc05OTur4+FjHx8cmAzE3NydJ\nRoFGAx8HmUwmFQ6HFYlElMvlzMgjn+GO+ORnNHeNj4/r+PjYOlYJYuLxuKmAPnnyRFNTUwqHw2ZD\nGo2GPv74Yy0vL2tnZ0dzc3Pa3t5WMpm0mgz0bCbI4YCkC1uxvLysiYkJGyf4ve99T7u7uxobG9PC\nwoJRxJ/neikMPVQt8F4MAMpzkqygiiFmmDIFRzaO2yn59ttv68c//rH+/M//3NIz0lxXDAtOebvd\n1s2bN40OBY8diiU4pXQRpfL3Z0cAMgEKw8nvuYbS7SR9tnGKf+P1FGVdKirG16UrkoFQ4PN6vdaA\nguYK8FEul9PGxoYymYxKpZKazaZtNgw9RhSj60bmkmyNiKRcWMelXWLYcVatVsteC2WODe5G8pL6\nMj2cNc6AaV3tdlv1el31el2vvfaayR+QDbyoi2HxlUrFqHwYHpcLf3h4aNOUYAzRADY9Pa1qtapo\nNKpoNKqTkxPF43FJsoYeCpTopodCIWtATCaTVty7fPmysa6mpqaMRggktrS0pPHxcRtXCHNtbGzM\n6jhowXz44YcKh8NWhyD6x1BipIPBoME68NMPDw+Ntz46OmpZcavVUjweNwljn89nhUvIA4lEwphM\nZKkUbqnvNJtN7e7uGhMHCIpzA+MH4xwOh7WwsKC5uTmrZRQKBRsdyh4uFovG9srn87p8+bJKpZJG\nRkb06NGjvu74ZDJppAyUMN2ZEu4IRtZK6tm6SqViQ2vQ5L99+7bi8biNGgRue57rpTD0pFBAGUQi\nQCbb29t9nYHws6mKYyDAY4n8RkZGjGf6/e9/36AXUlNXg4XOuFwup7fffttwfBeKgS3hFnjBv+n0\nlGSGiqlVGDuag1xaJNEqNQQKXGQNaIdTeMF4s17QTGEEdLtdS9W5F5wGU5jAOEndJycn9alPfcpm\nabo1j2cbsXBeOKBWq2Vp+rO8ewqwOGCieZQ6ocnRTOU6EHc9XREul8XDd5Fkn4/h+tKXvmRU1+cV\nfvrvuPb29jQyMqLJyUl5vV7Dlclg6vW6GUBXZZE6Ds4LA0azW6lUMobOyMiI5ubmTKSPwRZw5NG+\noV6EXDFjDicmJnR6emrOgPtGvI96CPuw0+komUzqlVdeUaVS0c7OjkEsfBYYPXzzWq2mtbU1nZ6e\nKpvNyufz6fbt2/J6vSZf4PV6rR9gd3fXnBVNfX6/XxMTEzo5OdHo6KjRSznXAwMD+l//63/ZWWHm\nriQVCgXl83kLwshgYeHhMNbX11WtVjU3N6fl5WXrb6DGQNb06NEjK8yOjY0pk8kY/39gYKCveRLa\nttvoxTlFj8fj8djvDw0NaXp62qSnT05OTD+ITB1oGVThk66XwtBjbBmf5abrg4O9eZBErkQN8M2J\nql0HIV0Mw0ilUkqlUqpWq1b0xNCiBY5hhhMsyRqxSGFdRgv0KUl2z27UidF1i7NE8Rxi7lfq7xNg\nI0gXbCTeB+MIx51Oxv8T+4ZiD0aElNTlw0Npc1vkOXhuVuEWZTHmZFDPNmsRhblZi+sA3AYwDJsb\nubNW/Jy03YWR+B0gNjj9bgGY7+Y2sb2Ia3p62iIyFE4HBwctip6enjaCQK1Ws6gZhcPR0VHl83mL\n/NBtYu3IUsGWMfbopqDFTkabz+eNBknQRESKE0KLnSwTxtrOzo7VRB49eqROp6NoNGqqmBSXKYbT\neR4Ohy2rCYVCFjhVKhXt7+9bdAskm06nFQwGrcgLzr29vW3jB5vNpmZnZ21yVLVa1ePHj01vn/vu\ndHod4UBVQJXUH5BxoB6YSqVssAe1Cxg6AwMDJjVBHwqBYDKZ1Pj4uGnjg9ejNlsqlRQOhxWPxxUO\nh43iPTg4aHDMzMyMPB6PFWOz2azVc1iLUChkDKrLly9rfn7+ufbhS2Hoh4aGLNqEysShRmO7VCpJ\nkhWc4vG4yZbSykxEjHGWZHMwT05O9I1vfEO1Ws063yiE8RDx9sPDw5qamtKXv/xlhUIhM+LVatUm\nzsCWcLtv6UQF1iHqdzF5cHf4/zgmcDoifQytdIFNc7HJJFlXqdtFS3SIwd3b27NJUrBnAoGAEomE\nMRs2NjasmDo7O2sRlltUxti6DgqMnt9xMXbXmHD/FNY5wM9i+BTVoJZxAWU82wWLk6V4SMHx5OTE\nosxnaaO/zAsq5ejoqAqFgoLBoEkDRyIRlctla9efn583qDIej2t3d9cCi0KhYIYF/Ra/368PP/zQ\niuvIBhABY/SXlpZMVpvMhyKsx9MT/yPoQQOKAEHqFcnPz8+1sLBgzmZubs5a+SWZNgwNV2R5sEKG\nh4f1xhtvGKf98PDQCtVer1e5XM6cFawWRNigYcJWYcQg6piSbDbr4uKilpaWtL+/r5mZGXm9XhvN\nRz2DgIk5t9PT09aLgK04OjpSuVw2LP7k5ER37941to4Ln7XbvQlywDQzMzOampqyGlYymdTrr79u\nQRMRPU2WU1NTNgQGSLndbisWi1kAjAOgPrK7u6tOp2Ozbz/peikMPekKRTmiBnRfJFlbOKwbZIfp\nJDw5OVG1WrUKuovPgmvfuXNHf/Znf6a/+7u/s2r56empGe9Go2GCauDAn/3sZ3Xjxg2rHdC0RGGM\nyIs2axwNxswdh0g/wMHBQd/AZ4qKRMS8B46O6NhtisLAsgmIUFxKXjAYtDoGjhP+LYU8hirs7OxY\nIW50dNTmjLo8XaicrtF1m9rcQjOwAXQ4HCvMDb4DDtD9DhhtHAAROewhSdYYRnTvZnYHBwdWz+BZ\nvciLwwrGDtTGeMlCoaBMJqNisWhaNCcnJ8Ynp1BK8ZMMZmxsTG+//ba8Xq/m5ubUbDZN24n3a7cv\nVEB5NjCYzs/PtbW1pbW1Nfs9Ag+YPe12W5VKxcS7KAK32z2hLQq2OKFsNmvzWDc3N438ALmC5wXL\n5/DwUA8fPrSAiL2ASiU/A26ikRH4kvrUwcGBWq2W8vm8Oc39/X3t7u4ajZT1azabymazOjs7syyG\n9SCjbjabRnMlw15eXlYmk9Hc3JwWFhas2J/JZCz7p3dG6tGFs9msGo2GZfs4wb29PUkyWzc+Pq6n\nT5/2SR+TOSACh/YTdQ4Cyee5XgpDPzo62tcEBCYIjomxo7BCKzaRIxidW5wkyqSans1m9ejRI6XT\nad27d88MBt6Z4i/FGdLharWqWCxmRQ+ibDc95b1gC/Fn4ARe48IzNK64tQX3d/gzB9ON1huNhnl9\nDl273TZaIa+BcXJ0dGQwh2u4u92uOSgKqOPj49Ym7jKHyDCI8jDuGGF+l2jf/RmvxylgvN3vBtWS\n2gPOxF0L1gb899ksguAAwwbk57aU/7IvtxM2FAqZ0Tg760kS+/1+G2YTiUQM6nH3T7VateJyIBAw\nWMbv96tYLGpoaMiKjPPz8woGg1pZWdHk5KQ1FLGmwWBQDx48MOjozTfftGBjbGxM29vbBjERBMEY\n2tzctNF5g4O9oeFklgQOc3NzFqigmc9ciJGREYN5qBOB1ScSCe3v7xs54sqVK9rY2DCMOpFI9DVB\nUmtD1ZL60tLSksE71BUICOhUB/+nsM3wIeoROI8nT57Y/g6FQpqYmFAymTTol6CCLODs7ExPnz41\nNcrBwYtxo6z9ycmJQWADAwPK5/OWgS0uLprWFoFUsVhUJpPRzs6OkUS8Xq8FCc97vRSGHqNBqgfu\nxcGGJz88PKxsNqt0Om0FPeiWFPwYFkBEHQgEtL+/r/v375u+czQa1V/8xV8Y7xqhJTYECo+1Ws0O\nzNLSkinnwQ7CYEsy9ohbeAWqwShBFUV2mQEeRKcuQ8TlCPM64CUMpyQ7sJJMypdso1wum0IlglMD\nAwP2egpFbjTeaDRUqVS0sbFhdQzYH0A1MHmATaT+0Y+SrNBKVoAzY61d7Nd1GOwHt/DuYv4Ydg6S\n6wDPznqzQmu1mrrd3gBnnMmLutjLQCfAKTAtYJ0Q7QI7jYyMmGTC5OSkMpmMarWaNVRhxKEVIqJ1\ncHCg9fV1kxdgT0LfOz8/19WrV20wyd7enubn53VycqJisWj1BIwXZwoMv1KpqN1uW8HV7/cbjEQv\nytHRkY0QdGcMS7LpTB9//LEVUovForLZrBWcgWKvXr2qQCCg+fl5e+Z+v99EyAqFgsn3UmAFsoLC\nCQPP6/UqFoup0+no1Vdf1fT0tHw+n+7du2e1LqAXn8+nQqGgZDJpHb+lUskc0dDQkEXy8/PzlqW1\n223Nz8/b4Ha39kLAyuQpaJiJRMIym7OzM+XzeasXkFVFo1HFYjFNTU1pdHTU2FnUEZ7n8rzIrkGu\nL33pS92Bgd6UdbBd0ijpgldKFOhGjWCLLrceQSQ6+/b29pTL5cyogo91Oh3Nzc3pq1/9qvb29ixq\nBQcm5fR4eh2d3/zmNy1KJvJ0GzZisZj9DJgCAwg2StrOzzGmbsrM/4GdyHDA9hC3wuiDGxLdEw2T\nLbg8daRkSaGJpq9evSqPx2OqiUT/OAGayIBEuDDI3DOdrzgHj8djURiHjrXD6bBOOCCcLs5UuqCl\nwr5xW8XJ4miZ9/v9SqVSunfvnn7yk5/I6/VqY2PjhUhY/uqv/mqXIMTj8ahcLisajUqSOTgkCJAF\ndruDYWqBEwMlpNNpRaNRjY2NaXNz06CEdrut2dlZqwOgkwQu7/F4VCqVLNKE9dRut7W/v694PK6z\nszNtb29bFoHxSyaTun//vkKhkHWRA9FJPU44gRasFowSzmJ8fFx3797V3NycNjc3denSJYMhwL2B\nkCqVSp8AGL0GBERw0kOhkMrlcl9D3dbWlmH6sOSg8fJ+3//+9/XpT3/aMkRXJI6GSBxCuVy2MYZk\nNDs7OyZhcHx8bGvH+YFVxZ73+XxGRaU2I8n08XkPOnJdLH9mZsZYZswHYJbuBx988Il7+6WI6DEU\nbESpv9HGpdXBZ+d3KE5QJCQ6JiMgBZZ6EW8mk1E6nVa9Xtfp6am2trb0wx/+0IYNkJoSRQKLULzB\nsBAlsfFcOQQcknQx+cnVpQDGoOjodrW60afLdAEWarfbNnDajVZdWGVkZKQvSsZwoIzHPY2MjOjS\npUt69913DTaBroUTcXntboTtsob4XfdeeHbAaFD7YOqQSWCscQrw/3EQXODKbtEWR0RB0NVm8POP\nWwAAIABJREFUQQiLouOLukqlkkZHRw0WWFhYkNfrtX6Gcrls3aU7OzuSZNop7XbbVCRzuZzW1tYM\nTkgkEmZYr127ZtkWwl3sL9YJHXiiwI2NDYNBj4+PdffuXfl8PlNwZK8PDw9raWlJqVRKlUpFV69e\n1aVLlxSJRIzeyT2Xy2VJF0EKHPxOp2MTttCkOTk50VtvvWXc/+PjY8ViMZNLcM99Op3W0NCQCoWC\nDg8PdXBwYAweDCRCZD6fT7VazfR/6MTF2NbrdSscM5ISHRqgvwcPHigQCCgWi2l9fd2kJXBgdMHT\n7YuUAnVD1iSfz6vZbGpnZ8fOzdOnT5XJZIxSDoy0u7uraDRqstb1el0PHjxQo9Gwoi/BXSKR0M7O\njiYmJiyo/aTrpYjov/jFL3bZmBg7NwrCIFJEdHVApF46yMSh+fl54043m0397d/+re7du2cHi6gf\nAzA8PKzbt2/L4/FocXFRN2/eNKPJpnMx8Lt379ocTXft6AaETQL7gOjd7eSkjRk+P/0CvCfOCsPn\nNtC4uDwFWbjt4LRENURyUNroVJycnLQMQZJhvURVbmSEAZFkEThFJ+4J40ojFtE69ynJCkuS7Dni\nBGgGI2rlYs2ki8xHkrGHaEZiDZjlSzNNp9PR3//936vdbuvu3bsvJKL/whe+0GVGrNfr7TMGOMZs\nNquVlRWD+tA+h7KYy+VM+oD1DgaD+tGPfqS33npLZ2dnKpVKpr/i9fbmysbjcYMw0V4istzc3FSn\n01EqlTI5X/YUz5J9f3h42KcD5fP5zFDxOjrMZ2dnDYqAU09mhmGm8BsOh1WtVg36QS++VqtJuqAL\nw1Wv1+vWZAYbZ2ZmRoFAT4xtamrKzmYoFNLOzo5N6mIPY0uYl0sfw+7urhU7K5WKGo2GpqenLVgZ\nGhrS48ePzSaFw2GNjo7qRz/6kY6OjnTz5k3rVYHGzXPc29uzGsTR0ZESiYSOjo6Uy+U0MzOjYDCo\nRqNhk7NgAXq9Xm1tbWl2dtbWGuVL6K6Li4v6+te//ol7+6Uw9J/73Oe6LtxA1MbBdimIGD024cDA\ngH7/939fHo/HqFBI2SIWNT4+rq997Wv6h3/4B8sUMLiLi4t9kX80GtXrr7+u1dVV0/YGXwdy+MEP\nfmAULXBmFzqRZHAJzBycF1Fwu902Q8/P4I67HHygDJdbzs/BvJvNpt2HdNEdCIwBtIWBBCrhfs7P\nz5XNZvsyFbfIze9AuyOl5NDz/V1GCNkGHZj7+/s2+UiSrbmbDbgceu7R5/P1dewSnUKT43mSLrMm\nNMP89V//tVqtlh4+fPhCDP2v/dqvdblHF7KTZCwLghgyEgxaKpUyWd1CoaBAIKBUKqWdnR2rdSBu\nRXPg2VlPRndpacnWqF6vK5/P21wGhm/HYjEr5J6fnxv0AJOMM4GTdfXVYf38/Oc/1xtvvGG0ZCA6\nmE5g5z6fz2AR1gLYCsdw48YNST2NeAIF9PhZw4ODA8XjcVsDisgMXNnY2NDq6qoZe/YYtQwoxLC0\nENgjm2VQy8rKimnb09WbzWYVi8XUbDbNAfDZ7LdoNKpisWh2g98hMGo2m1ZrIAOBUQQZotvtqlKp\nWA/R4eGhlpeXbR24d8gN//7v//4/A7pBKInowy08sjF8Pp+1J5NSvv766/qjP/ojBYNBW1womaSg\nGIrf/d3f7Wu8abd7gx2SyaSlbgh/ffjhh/rOd76jjz76yPBfOvZIjzkARAhAFcAdpHR8F+oDXC6z\nxS3CEuXyMxf/5uC5jVMwkjDyYLiuxsvJyYkZD5dCBlcaw8x3AK4hUwAGAjvneQDRuAwY3o9MgoHP\nRGU4Bwz7sw1XLgQlyQwCTV0U2rgP2uJxYGRGHCRJL1TrBqnaTqdj6pCIXN28edMGYoRCIYXDYYsW\noTYODQ3pyZMnNgovl8tZ1iXJXheNRm2oeLfb1e7urslaeL1eKxju7+8bN59zALxz//79PnVRgoFq\ntWqdsl5vb7g1e2VlZcVkC6QL/aNWqydgNjs7axF1Lpcz9gsRLcXmiYkJ5fN5o5JWKpU+IgLFfcTI\ngALZh9vb25KkX/mVXzHGDd8lnU7r4OBAP/vZz2x/DQ8PKxwO6+zsTOVy2bISqKqRSESDg4MGee3v\n72tubk65XM6ayRqNhkqlkjV0eb1elctlGwiPDj0R+s7OjgUjaBEBRZ2enur09NTWCDhrdnbWsj2E\n3Rh1isN9nuulmBmLR8WIYeTwiL/xG7+h1dVVHR4e2mR4ogcWheJEpVKxoiGL0un0FB//6q/+Sr/3\ne79nRd9XXnnFaGQYYbi2hUJB//Zv/yZJ5r3JIph+5RpIF3fH+LsFZWAgt6O2272QLeZzwZ3JSiio\nSbICJBefhQF3swAgKuaI0o0JfMJnUJzDoQB9uMqSRG9uAxMG2u0VoNDt9XqVTCZVKpX6+gh4JmDv\nZAsYbTRG0D3BKdDgBd1Vkh16AgKKgkBuMKLc9vYXcQEhEjAAR9ARubCwoDt37mh5edmMMFc8HrdI\nu1arKR6Pa2JiQo1GwyiW09PTFqk3Gg0FAgET2EIpkalSTF0Cpjg7O7Po8vz83PTyG42G4e046VQq\nZecqGo1ahgsXfW1tTd1uVzMzM8pmszYCr1wuW4H18PDQCqp8L7pWgYUCgZ50LxPI/H6/Dg8PLcKH\n0SP1ePqHh4d6/fXX9cYbb6jdbuvp06emAkqwsrq6qlKp1NdICJd+aGhIkUhET58+VSKRsKCMQI19\nTrDDcwL/p1gdDofNOQ0MDBjDam9vz2ZMU4RnnZrNpqrVqmZnZ42fjzOORCKKRCLG6Zd63foUzpHU\neN4g5qWAbn77t3+76w7FJjrsdrv6whe+YFEB2BeaFzzMVqs3Pcfn8+nRo0eW4kxOTholkgk6kUhE\n3/nOd/Stb31Lb731lu7fv28T2ME/iRJor8fggZtLsjZycG3pot3fZc64kf+zf8Y58H2fxbWli4YK\n6GtuARQMn8+jAO3CU2QUOEWKoEAsyPtyb9DxgNAw3G6XK9+Vtef7RCIRU0AkleffgXeAZVhjHB7r\nS+GYz+K+eS6uminfgwgeSh2pusfj0Te/+U3V6/UXxrp57733uo1GQ6lUyqLGSqXSl+nQ5YkRhVpH\np2qz2TT9muPjY3MWdE5CUHCZXdSUMKyMttvb21MymbT1WV9f18rKisEHZL2MPDw8PLRJYGixBAIB\nlUolLSws2HlFEXJ6elqDg4P66U9/qkuXLllmhyNi/4ZCISvQwu4Jh8NaX1+X19vrZgWfp3ud6Hp7\ne9uKkNSMuLf5+XmrbwSDQZ2envZh3ji+ZrNpxWICGDByznM+n7cRjLFYTPV6XeVy2ZQ0cTwMPifT\nR5sGXaJIJKJms6mHDx/qs5/9rMExiUTC7AX9CKwzk6oIGFEBgJ7L+T86OtJ3vvOd/xnQDUbv2cvn\n8+mVV14xSKVWqxl8QCWcBghagXEAkuzwUPiE3/r5z39eoVCojxfrRsPSha4MUSJNOMAi+XxeAwMD\nloq5jTk8PJcT79IZMWwuB91lB7kFVQ4y9QHuyY38cRQuv96Fc/h8IBOcAbCHC5e58JN0kYrzHxuM\nP4ProxOUz+ctS3HhLJyXy57h5zgMoik+g8t9NhgGnCLOjsif73x4eGgMHxcX/2VfR0dHWlhYsLVH\nxOrhw4fGrx4bGzP9EnBX5hH85Cc/sXF0NMwUi0XL1jY3NxUKhQymcTNiOrw7nY7NaqVuxAhGBsAs\nLy9L6vVl1Ot17e3tqVQqWYSPsUFamTmpBwcHxnIKh8N2RpLJpCqVig36wKgzahOhOp4NRnRubk4T\nExPa29vT2tqaSSGcn59re3tb3W7X8GqUIL3eC748lEOolyhtHh0d6fHjxzo8PDShOfR3MMj0AMTj\ncetO9ng82t7e1tOnT20o+OTkpHZ2drS3t2eaPPDbQ6GQ1Tf4/u122wIfYOBoNGod05xtn89nndGg\nHNls1gLbgYEBxePxvvP0vHv7pTD0FIXA3qE5RiIRG4BLowFNQe12W7lczuhrJycnNgYNDA2NbESL\nfD6fMpmM1tbW9Cd/8idW/HDlVV2j7hpfUks6dknJQ6GQSbhS8ASG4vVAK2xyNwojNSQixWEQ6fMz\nd7AKr8fpYMhdRUuMI46RFI8omcgDp4GAlmuEiYjIZIjugX9arZZWV1f15ptvamJiQul02tYDvFO6\nwN7dYjPCTWRNtKizic/Pz82Acwj8fr8VWoG2cAjAPWSGpLxoobyoa2JiwpqhgMSi0ahu3bqlhYUF\nCxTgnxPhw1Z5/fXXbf2BoFzq48LCgs7Ozvr0ycfHxy0AQtpjYmLCIlG35T8QCGhra0vVatUgsp2d\nHRO5IyLP5/NKJpOanJw0SiLF4I8//ti+n9/vtzpKMpm0LBQnxZg/STazNRAImJaP398boTg2NqaV\nlRWDMiQZbEG0jqPf2tqyusPU1JTV3Nrttg1cHx8f1/T0tMrlsmZnZxWNRjU1NaWJiQmLzjc3NzU8\nPKx8Pm+zpNvt3hjH2dlZM9p0vNJoxchR+m9isZh8Pp8RPWguu3z5sk1yY19XKhVzvF5vT92Uukun\n0zFJ5kAgYOtMfQDiwvNcvj/90z/9b9ng/zfXt7/97T8dGRmxZgQM1erqqqnOsclJ2TkceF5G/oE3\nE4lgCFzMmc3y1ltvKZ1OS7qYtr68vGwLyGFzOflSPyTD1BgOsUuJ5Hdd2Ea64NYTEbvRK07B5dhj\nzCVZs5Nr3MkccA4UqvheZA9E/X6/vw83JrXHwAMbuE4ORwwjanV1Vaurqxat7e/vG7zCPFPu1YVu\niNxpOuFZuwb+2f4C6UIOAg4z9wmODx0XdUEymK2tLR0cHOgP//AP/5//pu37C6+vf/3rf8p4SGiR\nsF7y+bytFewXSTZsm2zN6+01ukUiEYOuut2uSqWStcmXy2WNjo4a9k6UiWhYsVi018GEaTabpgtE\nVEwRFTYLQUE0GjV4rVQqaWZmxhz4xMREXxE+k8lYQxCMrVgsZjUDoltE0JBHQCpBkp09AgAgWKlX\n4CYI8vv9BuMUi0Vtb28rkUj0aVONjIyYtjuyCGjEd7tdPXnyxKY6EZAgYAbLyO/3G90SG0IHM3Uo\nakWBQE9muVwum8TCzs6OpqenjVpKNy+wMU6VsxIKhQzr5/OpW9GzA0z25S9/+RP39ksR0VMkhHEw\nPDysWCymz3zmM2q3e1NiEOginQKXpWGKlmOX103kLckWEsPNofrN3/xNo1mtrq4al5iIh80CbAJm\neHp6aoeEgb9kB9IFXo+BB3MGTsCAuawd6QJyoZCLQZfUR/N0DZ5LNYQSyWt4nXs/vC8OCAPN5xOZ\nuNo0GP12u62FhQWFw2GVy2Xt7e3Z4XCbrlwH43L/XYPn8Xgs/WZ9MRg8L7IidIj4vhgtonueFZ2Q\nREZ0PL+oCzw9nU7L5/NpfX1dT5480cDAgKampixipacDdhnYMQ6QCA+jSIBBwXFmZsamN6HDXywW\nlc/njXaMQ+V5zc3NmXhdOBxWvV7Xzs6OGWn6GsbGxgyKRM8GPRnun4Lh6OioFhYWdOXKFTOKDAlC\nWx9CxcTEhMLhsLLZrBlUsuJKpWLBBwwUJJ4TiYTp8WxubqpcLhvhAPsB0YGh49Q+tre3rRmJLvG5\nuTn7jnS8rq6umtMpFAomnri5uan19XVzsjs7O2o0Glafglq6u7urVCqlpaUlVatVLS4uKp/P23dg\nXbvdrnXhQi4AJmMty+WyOp3e0BipF/SGw2FzAs9zvRSsGyanu7jqV77yFaNCIqE7OjqqcrmsVqtl\n0qMYocPDQ5M1kGRGCjoVYl8ej8cYJLlcTl6vV5/97Get2AEDh+ajer1u0IEbhUuyweVgmkQYHo/H\ndEE4IBQN+T/Og8IhRo7vzHd41uATrdGYRCqM6BqQEPdPtoBhd7nnksy58pmk5eCuXDjCsbExbWxs\n6OHDh/b7OFZ4yjgVt2gKNIEx41Aj7oYx5pm5PRWdTscoijCUXOeFLIPX6+0zTDhAt7j9y76g1c7P\nz6vb7WpxcVFjY2NWcD0/PzcVU2SEBwYG1Gg0NDU1ZetCtyfRPVHfyclJn1Stx+PR8PCwHj58qNde\ne82gBs4IRh7Bsmg0qqtXr1rkSQFyd3dXc3NzOjs709ramlKplHK5nPH3CaR8Pp/29vasWEkdAPbb\n7Oysjo6OlEwmbY/xbIAHx8fHlU6nNTk5aQJvcOwJCiRZhJz6L2mDmZkZTUxMGAMuHo+bKiU6Mqen\npzYqEUp2u922aBh10263N8Jwfn7ehnxQwJ6cnFQ6nbZ1ZA0gL+Ag9vb2bM+SLbvMMPYodZlWq6Vi\nsahOp2NDyCGS0Lfg8/n65ipgDxcXF/u6Zj/peikM/f7+vs2y9Pl8+q3f+i3t7+8bhgfXlOEJp6en\nxl+lUMGBYPABTBPeh0EFtB0PDw8bZo5hhjHiDjygcevs7MzgE/e9JVnXXqPR0MjIiIaGhlSv1w1/\n5PfA01z+OVCNSy2FfSRdQErdbteiJlcHHD48kbgkk0DlM4n8+c+VMGAIAxQwt/3d6/UqkUjYlPpM\nJqOnT59K6hmU1dVVbW9vW3MI2RAwEVg5nXxSD3pz9bWRU5ZkB5TI360FgI9SV+D9eC3ccZyIz+dT\nLpfrUwZ9EZfP5zP20dramsky4IBHR0d1//59E+eiUNtutzU3N6fd3V0Tszo4OFAoFDJMWeplQkw6\ngpVSrVa1srKig4MDbW1t6ebNm8bQGBsbU7VaNQdKcZUzhW761taW8vm8GUXorxhy4J3BwUElk0nN\nzs72dcv6/X4tLS1Zk1Wz2dTdu3d1+/ZtK0gDKSUSCRUKBUkyBw9xYmlpyTKYxcVFdTod5fN5TU5O\nGssnl8tZ9C7JqI1S76yOj4+r3e5JHaNrw+Qo6kDdbtd06anrQNuGlcbZlGRNU8C0nU5H4XBY+Xxe\ng4ODunr1qgm6kZGMj4+bzYEMceXKlb6s2OO5mNebTCZ1cHBgTgDnyphF+P3Pc70U0I0bIQ8PD1sR\nhAgNz1itVhUIBBSJRAy2cXnctEJj8DhkFI5cRUgoVUw6osuO1JjD6dL1MC4uX94VDXNxen7PpTq6\nUIkLl0jqy0SI6l24iGIsm4AiKc6C+wS6oGhLBx1FYbfGgQFGJA0WBteVK1e0tLSkTqdjU264oNjB\niececCJgyaTnFJ1daIFRb2xYtw6DIcJoQ8OULiZyISIHp54Wdp41TSluU9Yv+2LYSDQa1fDwsCYm\nJizzJEK8du2ajZrrdrtaWlrSzMyMJOnGjRuanJw0pVWe59jYmNFYyWLIWuv1ukWiROXUrf7zP//T\none0ZWjYWl1d1dbWlk5OTrSysqJ4PK5EImH0Xs6ndDFqEF0deiZGRkZMVRI9eMTK3n33Xbv3eDyu\nVCpl3atXrlyxQd5kh7Ozs4bHs0fb7bZ9v3g8rmKx2NdfcO3aNQ0MDGhiYkLj4+PWONnpdHTp0iV5\nPB4Lnmq1mrGbmMFK0RupAXoeiPCXlpYMZtnY2FAwGFQ4HFaxWDQRNKlXL9jY2LD3oR6FfIMkGxC/\nu7srqVebWV9fN6fRbDb7soJ0Om00UthnQJ+fdL0UPPqvfvWrXUk28fzSpUt90ITLnIEOCWXJ7VrF\n6yLuD+9e6tHtzs/PbViCO4wBwwucQuMK+C48XmAcIlKMCEYbGGloaMgob5L6ImiiUfBlDLvLniF7\noGh8dnZm3xUetdd7MeCYzwUnpw4hqe8euU+MOxvm6OhIMzMz8vl8ZpC63V4btltjAG92pShcHN5t\n6Jqbm7NNzRAFuixLpZJlLK6zI9LhObr002fpnnw3rv39fbvPQCCg7373uwZfeb3e51L4+++4bty4\n0V1ZWVGhULBmu9nZWR0fH9sIv3g8ridPnli2inIhMsY0xsBWYogJNSccIUHLxx9/rKmpKY2MjJje\nC1Ccx+OxQeIEBlKPLsn+BpJBLuD8/NygEDLi+fl5w4qLxaKmpqaUzWYt6hwcHFSxWNTly5dVr9f7\nYECy04WFBYNsDg4OND09bUFNMBi0IimicFBM0+m0VldXlcvltLi4qM3NTdOIgbXkSnHQ60Kt4/Dw\n0Iq0OCzkoSORiB48eKDr169rZ2enb8h8q9Wy/hkietZwYGDApBAgQ2C/UJvk/LhNamT+7vQvtKCA\nbFzBNdAEiu7Hx8f6j//4j0/c2y8FdCNddEm+//77unv3rmKxmNEpeTCIcwExkOa4PGxJ5hxqtZox\neeiIgwEhXahMYlwl9R2I6elpK5Sgc00GwT2BE0sXWuxEs2wEDBUGDAMkXUgbPFvwxdgTjWD0wNDZ\nEHQTYsQxwm73Ke9LwVuSSc+enfUGYNAteHR0ZBEITCU+i3VkE7s0Tgp6c3NzZtihvpZKJXOaOAfu\ngywDjjx/ltT3ezwv1tht1PF6vXZ4Op2OfvCDH0iSNYe9yGtmZkb7+/s2dYkMFTVLZh8PDQ0ZtPjo\n0SOtrq6qXC7bdDAcMd3SnU7Hxm6OjIyoXC5rfn7eBonDUMGwuRIFQERw8mHNsL7I4X7wwQd69913\nzXmWSiXNzs5apIsUAoYsGo1qfX1dk5OT5jAgNoyNjSmbzVrXLpz6lZUV1Wo1TUxMGGzo9/tVLpc1\nOTmpqakpHRwcqNlsKpfLaWhoSNevX9eDBw+UTCbV7Xa1sLCgTqfX/U7jEsybRqOhaDRqFFeMI3o3\nfr9fhUJBZ2dntg4LCwvWbEbNJJvNGjxUqVTM0PMaN9jLZrO6efOmMZToRia7Qk6b585zZp1hHKXT\naSUSCetux95Q43GZfJ90vRSGfnh4WNVqVaurq4bzER2iN083G23YRCZIjroUQOCXcrms/f19RaNR\nDQ0NaW9vzzaYaxzdJhMKqsA90CWBceBug5dLMmfhXs1m0z7j2WYlGD3SxSANl7vvGngiUknGPKCY\nRWT7rLNiQxAhutif+35E8DSR+Hw+61vwei9GH2JIeW9SS5wsnY9gx61WSx9//LGtEQVa6cLQEG1x\nP25xFSaSW2znu7nr6TKFYCuUSiXbN6zvi7y4f1hjdMFCXaRHgpb2crls4mRTU1OSZNOUiL4pgAJf\notgKZRBn+ejRI12/ft2iTVg+x8fHJnKWSqWMPSX1giQ0WS5dumR1j9PTU42NjalQKFgUe+XKFa2t\nrWlhYcHWeWlpSeVyWeFwWLOzs6Yrk81mrdZzfHzcJzEMY4azBZuEYAU4d39/32iZyD1z38yRZp2A\naMnMJyYmbGgKc6SZzjU1NaVarWa2JRgMqtls9nWkplIpYxoFAgFT6RwcHDQOvNfr1fT0tNXdpN6Z\nXVlZsf1J7wGBYyDQk3e+ceOGCarhuAg0UWJFl8vtD6lUKs+3D/9/2s//n67t7W0rmNAJVq/XFY/H\nLd31+/02kYn0nhRNkrUQsxBgau12W3t7e2q3e8N2eQ+iYYyGm8bymTSgUA3nNX6/X5FIxESkwIgb\njYYGBwf7IBlXhROs35UCAM6RZGkxOCSwlMttdw03kTawjdttC9cWBsDZ2ZnGx8ctNSYlxflBX4QF\nQ7emJCtMwzaYmpqyyJIux+PjY62trdkh5RkR5cBZdh0c8IzbwUuUgkEk48HZ8t6S+kTwzs7O9MEH\nH9hB5nKb3l7ERWGfQj2Gn0E1zWZTlUpFyWTS9ih8ebI7+O7T09NWzKOIDbT38OFDgzjgjadSKRWL\nRcPIya7C4XAfVJPL5VSr1XTt2jW1Wi2T4CWA8vl8JtnAWmLowuGwcrmcYrGYcdihP0KEkKSFhQUT\n5SKKBnqk/kWtjvrD4uKisXfoiYFGC+QI2wdYkM5feOj5fN4cDAEjRVI+e29vzzqI0ZBP/Ze2jytR\nAtuJ2bzn5+d2XsLhsAqFgskvcx+Li4va2trS1NSU1QempqZs8Pvx8bFSqZT29vY0NjZmzVaNRkOZ\nTMYawAjmwPlZw+dtCHwpDL3f77fIAkEiPB+Y19nZmeLxuFXFqWa7PGtJVpBl44ANj4yMaHt7W4uL\nixYts2mIAGGg4CiIMl2WBOkWRgy4w8U1n20CAtMnquXnLj2w2WxqfX29D2vlvkjDc7mcJicnDa+F\nSunCR9wnmQm4n9frNeYSawvneHBwULdv37aOO5pXwOtPT0+th+H09FTFYtGwYTbc8fFxnx4OzpND\nQkHPddSwaoBo3AyGZhvYCaybC4Xh/Dwej54+fWr9A0BkkvqkKV7EBX+be2NAxszMjPL5vI2Iu3fv\nnt5//32LpoPBoBmpjz76yGiI1WpVlUpFi4uLknoFc7ptgejoPclkMhofH5fH05tshSY90AU4P4qP\n4MTxeNwiaxdmgf/OmMloNGrSvFBI6RE4Pz/X7Oysut2ujSjM5/NaWVlRINCTW97a2rKA6ejoyHTp\ns9ms5ufnrVa0v7+vRCJhwd7AwMUsCYql0KLBxZEz9ng8+vGPf6ybN29aByt1OnpvvF6vwbypVMqy\nmECgJ3s8PT1thVGyMakHw7laOdeuXZOkPoTg5ORE09PTBi0T9FEo7na71rPAeR4bG1Oj0dDi4qLB\nS9Azm82mCoWCdeoyKOiTrpfC0BNVM2k+GAwaLEAFnkiI1NPj8VjE7lIS2+22YXLIFFC4hPFAlEHb\nMlESrdNsGK/XaywRNhScfIyNz+czXQq6RsE6MWDAFBgfF2qh4YcZuODrY2NjhnXzvYBFwNphwbhG\n1c1S2HAYfzdzIBJGfoLIHqMIxQ3aG/dDVFUqley7I5VMQZtnCsT0rNHlZ+7vsB4YerIft3kKB8L9\nEf2T/rq1ENb4/wbH/O+43KyKQuX4+LhN9zo5OdFPf/pTGyAyODhoiquoRDKM4/Dw0PjoZGgM7qDh\nCSitVCopEokY06fb7Wp7e1t7e3taWVmxjJkgBaolWRpUTBcSevz4saLRqJLJZF8XdDabNaKDz9cb\njkEk6g4TuXXrlhWQiVIx5vQDMG6w0+lob2/Psshut6v19XVls1nV63V9+tOfNkIB7wnq978lAAAg\nAElEQVTbB3oz32FlZcUUMJF6phiKA6YmuLu7a0HRyMiILl++bCJp1AOwNXfu3NH7779vxWVkllOp\nlFGOpR4Dh9eh4gkF9vz8vE9xF2c2PDys4eFh3b9/3yQQZmdn+ySkcWjPc70Uhp4bb7fb1vpN2sQh\nPT4+ViaTsYIohk2SJicnbSQXhsnrvVBcJO0aHR219I2HDpsEw4Ahc6NSmD5ANXjZTqdjODhG2q0h\nYMjcBiXgCaIvsECaNiT1/Z+6hMfjsaHENBRxQIAuuCciZQyqm42cn59bIQqpVoprfr9fyWTSHNzk\n5KTR39ikFOtwSDhkIBY34gamIvp3C9LcE+uP1g9rBQzG93UdK8MooPytra1pf3/ffofnw2e9yIYp\nOiXpUyCQgHk0PDysd955R+1221ge9XpdkUjEaItAjn6/3xgzNNzs7e1pcnJSR0dHKhQKunTpks7P\nzy0Iojh7dnamZDJpGupkhsBD8NT/+Z//We+//75isZg+/vhji+j9fr/i8bgGBwe1tbWlK1euqFgs\nKpVKGWsIJxYI9AZ+095/dHRkQ7KBGM/Pz7WwsCCp57RjsZgePHigS5cuWdc1BX2plxktLCzo8PBQ\nb7/9dh9BIB6Pq1AoaGpqSsVi0QZq01Nwdnam5eVlGyyCmi29CwRmmUzGRNA4a2S+ULIJoo6OjvTe\ne+9pd3fXzmcwGFQkEtHx8bEKhYKWlpbUbve0cqhNSL16QiwWMylnsgcwfK/Xa2MTb926ZRlDJpNR\nOBy2+iOZ7/NcL4WhZ/YhEQXFo0AgYFog4K4wDUiBiPAYH4jcMIYM3A/ci2YNKJBENMA4brGETjSv\n92J8HoaJYjG0LQw7GQDMGpwRUAoRM9ALkAfOgQIk0g10B/r9F2JRKA9iKHBoQCNEji6lktoC/z49\nPa2RkRHNzc1ZCzdpM9o9FAqBaMCNKQJjTFkj98JRkvbz7x6Pp68zmAiS96HRiufFZ/Oe5+fnKpfL\n5ki+8Y1vKJPJ9PU8SBc0TAzVi7pcsbXx8XGLUNvt3tg9r7c3Lg4OPbIG1WpVJycnqlarisViGh8f\nN1gTgTCgNPBrdJqgH1LQ9fl8Jm8AO4asMBqNGoSxtramz3/+89ra2jJaY7Va1dzcnO33g4MDXbp0\nScfHx31Qy+rqqmq1msGMZ2dnVvwsFou6cuWKae+wX09PT03KoVQq6bXXXrOgq1Kp6Pr160YzhDd/\n/fp1BYNB3b9/XwsLCzaYu1QqaXV1VdPT0zZPFhYPuvCdTk+6/PDwUDMzM9rY2NDjx4/1xhtvaH5+\nXvF43Dj7QCSxWMzweCDjbrdrDVDujOlGo6FYLNanAsuwb+6jXq9rcnJSZ2dn2tnZsX6d3d1dUxJF\nwuP09FSFQsFgLUY+Hh8fa3Jy0noXnud6KQw9hgADAA6G8XSjZJqgiPpcviqRt9vZSvTg8sGJBjCA\n/BtwDXoxpFKHh4dWlKUgC+7OxpQump4o6lJscX+XiB6n4GrnuI1PXC5DBoNHJIYRpq+AqJniFq9x\nHYX7uxQCZ2dnjYnAuMDd3d3/rUkJg+zWGIDT+O5ugxiQjrs2/BtRNp+Bkccxu7AZGCXFVyCqo6Mj\na/B5FjKCFueyjF7ElclkdOPGDctAPvjgA129elXhcFgbGxuSZOwZng2sr2AwqFgsZsXFTCajiYkJ\nY6kQFZNNVSoVXbp0ySJl6j937twx5pk7EMPv95tDr9frisViOjk50fz8vI6PjxWNRrW2tqbt7W2t\nrKyYKik1K4a6gB2zb5maRbH52rVrpizLbNeRkRFVq1VNT0+r0WhodHTUPufevXtaXV3V+vq6afiM\njY0pnU5bz8fly5et0em1114zyiMNhcfHx0omk3ZfBAn0pgQCAb3yyiu6cuWKwR/0H+CEcUrUP3w+\nn+7duydJevXVV+11SHJg3CFMkDXQkQuddm1tTfF43DJyIDbOQLVatSEyUo+iy2Sx5eVlI4lMT09r\nfX39ufbhS2Ho8WJgxOB2dPkRHRKhkz7BzPD7/dY1J8mKQaOjo2aIYKdgAEm/3M8mikZsCLiCKMvV\npHej9WdZHUSk1Bv4LH7XbS6CvkWzFEYUmQO+EwacSJXv5rJumNQjyYw9BSA3mndpo41GQwyv5rtJ\nvelGOEu3IH52dmb63Rh+HAxGGgcNw4bv7cIpHAy3kO5KQmDcJJme0N27d435QXbhfld3rWg6Ad98\nUdfs7KyxMvL5vD796U/L6/Uqk8locXHRmEUEJYeHhybRAQwCC41Cot/v197engKBgA30aLVaxtNG\nI77b7clCJBKJvmyQjI9zUqlUND8/bzWtQqGgVCqlTCajpaUlHR4eGiQRiURs6L3f77eCMbUvcPv5\n+Xnt7e1pa2tLb731liKRiKReEPT48WOtrKyoXC4rl8vpypUrGhsbs0ayV155RcFgUK+88oo8Ho+x\nWSQplUrp+PjYCvSXL1/W06dPNTMzYzo5DB0HFYhGoyqVStbERYb04Ycf6rXXXjO2261bt4xmTOBZ\nKBQsowkEArp+/bp2d3fNdsAMzOfzNiApn88bZZPXQXrIZDKq1+t9mdbAwIDK5bIFMTg2t9dldnbW\n9gLT4lqtls0R+KTrpTD0gUBv0EKpVDKogdSFQ82XpCCI4iUSB+Pj49b2D35MAQYeuEsPky6iTyJ0\nXktU6/K3+V2cgUu1dDnvGDBeB+7sskHQc3Ebo4iUSQvPzs6s248irNfr7YvmKFjxnWDMwKUmY2Hj\nEhHDRHKpoaSEOFJJ1uLe6XRsig/pL/ofTKTCkLuCbK4zIGPCORH94WRZN7oM+fyzs96w6QcPHvSJ\nRqFkiWPEebo9D0RYL7IYC5zBulSrVR0eHloBn6La9va2RkdH+waos34IwV27ds32Fa340PSi0agZ\nOpg+rDmOMx6PWwGXvQ1MB51yYGDA2viBbnBWbuMdcAtFYHRiarWaJBl99LXXXrPs+9vf/rZ+53d+\nR6+++qrV5SAcsOdgHGWzWdNvD4VCKpfLGhoaUjAYNONIAR+qL12r6+vrWlhY0OjoqB4+fCifz2ew\nCfox4N/sHe4BqBjYLB6Pm3wz5xqHNjs7q2KxqMHBQcViMd29e1dvv/22STe02209evTIsjAgPAIv\ntwsduiq1RJQ4t7e3rbfi9PRUW1tbRpXNZrPPjdG/FFo3GDLSc0nWDcfBlS4KmXhJokhXH0a6GDYO\nbxxRtEDgYsAFr2HDE4XyEDhsRMJEmm5RxeVzY3gwrnQfukaWeybCJKonenCj3VarZRg135MU1O/3\nGx3UNeYwbRjgwGv5TmRCUBuDwaBV7pGcpX2dGofbOIVmt/v+MCvoXwCGg9ZJJ6Bbi3CL6Rhi17hJ\nsu9GhpLNZvueNWvhUi7dOoD7Wt7zRVxkFBTaBgYGbLqQW6SMxWJ9GiiDg4MWNVYqFYviyJTu3btn\nzlbqZcVotlN/IoNDp75eryufz9sQcgxwPB63JifqVPDB6ew9Pz+3IrAka+jpdntiYNRifD6f5ufn\ntb29bcETMsxf+cpXbGIWDLfHjx8bXEVzJJTD+/fv23kZHx83/nmn07Fu35GREaM+kg0B2bRaLWsY\n63Q6Vvxk3Uqlkgm8ZTIZc6LIp0xPT9ucAKBLglLqBmRHR0dHev3115VOp+3eEHwbHx/X3t6e/X11\ndVVHR0dWW3r69KnZBiAcAqtEIqGlpSV5vV6TeE6n0zb3938U6wadapfKhfem+4zomeiRSBB4gK46\neNeu7gWOgUEYHA5eC+aLMSRCB27BAUDLpEMVJ8RBZjPwvqSbGGD47xiewcFBK6qCs2LEwPTpBoR6\nR/cv/xE9uG3Y3W7XBqCPjIyYSJt0oQ5INB+JRPqoka6DGRoaMg0ZF1dnvUgrW62WcYx5vUt/xHEQ\njfNnCul8d9JSoCngt3w+b7ivK1GMIZcuhrnwmThYMNkXdYVCIZsqxIAMaL2SjCaMXAQt9dSfwMBh\neMFEoRv28ePHun79uhVyiUZPT0+Nb7+xsWH7c2VlxaBCZijABNrc3NTi4qKCwaCJcRFx05zl9fZU\nLKHjMr3p4ODAaI21Wk1vvvmm9vf3jeG1vb0tv9+vd955R0+fPjWpjBs3bsjn82l8fNyCCrq/r169\nKo/HY6ylbDarTueiQ/T4+Ni6W1utlqLRqOllUYRnyEmj0dD6+roZ5Wq1qsePH+vmzZuam5tT6r+E\nFKXeGXn06JGSyaRisZhyuVyfuFkqlVKr1dL9+/d169Yt7ezs2Pzc5eVlZbNZQxsYUM9ej0Qi1uCF\nBhHZHevNs8rn81pdXbXmM2YGX79+Xefn56pWq33Ngb/oeikMPRoSHIp6vW6HOBaLmUofGwDsGeNA\n1NPp9FrzobS5RULwXlqPYdVwwWeH4YMxg9OMdjq4OQVdZmISqWIA3eIkkY4ki94lmYF0jR4Gkp+j\nUgne+vbbb5tTA3ZBR4SoGINKhoHiITgh/4VCIaOy4oSAASQZ04D3JR3l+wE3ETmC27rwGBG3m0GR\nfVCUBnIhouF9o9GoarWavvGNb/RF/q5Bl/S/GXycGe/t1gpexIVGDGtAAZRnzJ6EWtlsNjU5OWkU\nRUlmVE9OThQKhQwKGBoaUrVatdF2DMI+OjrSysqKpF5XKpIeP//5z/X222/bHFhUIYeHh5VIJKyx\nB8PO84fNls/nbQaB1M+uCQaDVmiFSun1ei36RIgLUUHmxs7NzZn8MeyUUCikw8ND5fN5C9YYEbq5\nuanR0VH7TtQfeF/OZ61Ws4amcDisZDLZRw999dVXJcmy2SdPnmh2dlbZbFbLy8tWAMV2QHUlwl9e\nXlaz2bQMjWdJdk9giYLm7u6uVlZWrMiOoNrY2JjBecPDw3ry5Ill3UC70FTdHhi3e/2TrpdCvfJz\nn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geNV1IvhaeLnOwVLXYYXC4kSRf1gwcPbETf1NSUqSTSp7C8vKzDw0O9+eabBq0VCgUt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Mf = fft2(M)\n", "Lf = fftshift(log(abs(Mf) + 1e-1))\n", "imageplot(M, 'Image', [1, 2, 1])\n", "imageplot(Lf, 'Fourier transform', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 1:** To avoid boundary artifacts and estimate really the frequency content of\n", "the image (and not of the artifacts!), one needs to multiply M by a\n", "smooth windowing function h and compute fft2(M*h). Use a sine\n", "windowing function. Can you interpret the resulting filter ?" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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YCUvoB4A8V0JGpNWyilYpJdW23Jd5h+vklfXoF8EJdqVO1o19e37sSU/9O/fj\ny0hhIoxK1Z7k1NkR9Ojt56KCpPehK0vS77gNQz3uz/PwpdajBnoPvEZe16I6gEUevH6NV93zqyKA\nRQr+0xx7z8ujf+utt6xoNCr9ZkixI07McTIej9Fut2EYBs7OzpBKpRCJRMSTbTabiMfjl/jxsVgM\nbrcb7XYbzWZTGDSRSAT5fB69Xg97e3sCc1DBkVBAaIGFTu12G6urqwKxBAIBfPLJJ5jNZtjY2MD5\n+bnAOOVyGdFoVJK5nU4H0WhUvG5Wl5JYoNNDWQjV7/cBzBVcq9USiInNytgWQiklHvjx8TEODw/x\nMz/zM7AsC2dnZwCAO3fuoN1uw7IsdLtd8XjpHfv9flSrVXg8Hig1ZxTx2nw+H6bTqbR03trawmw2\nw+HhobR0IGuHGL7L5RIjSkP7B3/wB3j99dclSU5qKAvChsOhLKNRJt3TsizkcjmJRBKJhOQ/arUa\n1tbWpEah0+kAgBSN/f7v//5nz6O/idesf/TEq74PWS9XHU/Hv6/CxamE9ePrkM4inJ3H1r/br08/\nLrfVk8lkZ7Do4qrrt9+bRfmE66IN/b7rf+3ff5Qir1dJZrOZ4LVUbIRhqMj11ry9Xg/BYBCBQEC8\nWbbFJWuKfdAbjQYajYZ4lYVCQQxFNptFNpsVvrdefcu802w2w/HxsbBfUqkUKpWKeJYHBwe4d+8e\nbt26hVKpJJBQsViUBmTD4RAfffSRUP3oOZOfTkVdq9WklQEAPHjwQDz0/f196exIimer1cJ0OkWx\nWMR4PBaDkk6n8fM///OX2jknEgnpHElvulgsXur7UygU5B44HA7pTeP1evGd73xHlHChUEAul0O3\n20U6nRYIzO12A4BEOQAE+qES/+pXvyr9icj+obFh++ijoyPB6ZVSl5Kp+/v7UsFcqVSkcdru7q4s\nPz8/FyYUGUk3kVdO0etyE0WySJnZPVfdM6c3fRVMo2Pmi5Skfl2LFKyd8WNX9s9KmNqNl34t/KuX\nV19lCO33zv59UbS06J7a5bOo7ImRA0AulxPFwf7iNMz0OiORCCzLklbGALC3tyfceeApVZJhfr1e\nFwigUqkInZB94pnTYVRB7LnX60lrAFILK5WKNNFKpVKiZB0Oh+wfiUTg9/uRTCaFJUSFxkQlc0Ju\ntxsHBwcwDENK/IPBoHjsoVAIGxsbAp0wmmD0SW+7Wq1K90oKq3YrlQrcbjeUUkJFJK7PSKdUKiGf\nz8t9Zz4V+q7YAAAgAElEQVSk2WzijTfekHflzp07krBmgpj989njnvg9YbTRaIRWq4VutyvFY+Vy\nGYVCQXIUpmlid3cXd+/eFQosoTgWXpFyWa1W4ff7hdXDd3w0GmFlZUUMGum6N5FXCrpZBM0sWqev\n1xUmFbh+g3VFSa8CwKUHoHvp+mw8tNY6/31RstWekNVhGK5niMh17GZHj13fX/9d+j5KKelhveha\n+Jfb6/vZt9fPt0h06Ma+zVXK/Sc5Fp8XdPO1r33NKpfL4k0GAgEEAgGMx2NR3IZhYDQaoVgsCsWS\nz44VmmTGnJ+fi6Jl73S/3y90P9M0cXx8DI/HI21tAeD8/Byvv/46Wq2WjIN8Pi/5A8IR5PgzyUtG\nEHHvQCAAj8cjlD/22IlEIgJNDYdDSUK22220Wi2hd04mE9y/f1+qSJlUZp99Grnz83Osra3B6/WK\nl0/2C5X/2dkZYrEYHA4HDg8PkUql0Ov1hDl0fHyMUCiEdDotcEqj0UA6nZa+9WwFHI/HpaNnOBzG\naDRCOBzGo0ePAMwN8xtvvCFwVK/Xk7zFZDJBOBxGLpfD9va2dCrlucbjsVSzksLKHA0rlvmM2TQu\nGo0Kx59GixRLcvxJx/zGN77x2SyY0j1qyrO8V3rSAKQyTt+P25HrywpGrtexfibHdOhHP46uAHUj\nA/wwq0c3NotYMvQUrmLZ0Djp18Due8Ph8BJWrx9XvxZeh130Y+rrdePI49PYXKfIrzrXyyyz2QyZ\nTEbaAJNC6HQ6hXGi37PhcCgJSmK7Xq8XZ2dn2Nvbw9ramlRNMoQnNk+eezabxfn5ORKJhBQTpdNp\nDAYDVCoViQ4ymYzsz+Qhx0gkEsGTJ09w69YtMQCMBgCIAeE7waQuk8Zk8LD3i9/vl2n5Hj9+jEwm\nA5/Ph1KpJHkoQlXJZFIwbHr1HLfn5+e4f/8+ptMpkskkTk9PkUgksL6+jn6/j5OTE5nIhfkGJlld\nLhdisRgKhQJ8Ph+i0SgajQZWV1eF4cSCrfPzc+RyOcRiMWlfsL+/D8MwZMpEQjisil1ZWcFgMEC9\nXhcFTYisUChga2sLpmlemubw/PxcIK8nT55gdXUVDodD+v2zmpjOJ2fWMgxD8m03kVcOulkEPVy1\n/CoYYtE2/E7Lumg73fu3f38WS0eHZ7iPHYLRMXuKvl6HcezYvf13EL65DmK56j4suqf2/ACXcbnT\n6RTu8k1gn1cF0mETLK/XKx6jTvHj86KDwKnw3G43VldXpaiGjcIASNKWjBM6BNyXXji9RdI4mZT9\n5JNP0O12hbrpcrmk7W0wGES328V4PEY2mxVPnr3wPR4P2u22QBf0sCORCM7PzxGLxZBOpzEcDiXB\nSiYMWSTZbFZmRkomkwDmY5nJV32McPpDFn7pxUVerxfJZBKVSkXgk9dff10cBhpLnrvf74v3fXx8\njHq9jo2NDWl3wN46ANBqtbCxsSERBhO8jG6UUvD7/ZKD2d/fBwD5jYVCAclkEoPBAN1uFx6PB5VK\nBbVa7dK7EQqFEIvFxCEAniZZq9WqKHjmJJjLAeY1BOyFc528MtANFYOu2PR1djjHrlj1hkP6PaGC\nJXyhQzA6m2WRJ2s/j0435HcOahoQeuE8vl4QQS+OLzwLuexeOb1GXovep5ul9/V6/ZLBsrNldMPh\ncDikH7bdCFBB2ZfbYZtFxoM4pS7Xjcc/6Xh9XtDNO++8Y3HGKACSQGVikU2zOPHG0dER7ty5I4qE\nPeS9Xq9Mhs173mq14PF4EIvFRFkfHBzgzTfflMpOsjRisZhAHkrNZ5fa3d2V2ZosyxKlTtyYbY3Z\nBZJzyw6HQ6mM5b6GYYjHHQ6Hsb+/L4VizBOcn58jnU4DmHPoz8/Psbm5Ka0RSqUSMpkMMpmM4O5U\nbIQx2DSMwrHJayLuTayfXTOr1SrIflJKIZfLYWtrSxQ4z8WcB2fkCgQC0tL59PRUJvrO5XJIpVII\nBoPC0edfvm8ffPABQqGQ9OihwWfuhRAZi804SYtSSpLLhmFIp0vgMquO0cP3v//9zx7rxi5UVnaP\n2q7w9RCIXihwGcKgEaHnavf27QwY3fgwlCX+ak+Y8nhU7npRlX6dSinxmrkdr0dvxap71/q16teg\nn5tl3D6fD4FAQHBfVgcziajvxxfuqiiF6/TnoAsNjz0q0XMMdnnZPH16lb1eD61WS6a4A+b5HC63\nLAt+vx93794VHJwJ1YcPH2I8HmN7e1sMOzFqYM6/Z+vfu3fvolAoXMJ/3W43LMuSniycRJuzM9Ex\naDabwnlfWVmRNrper1eU8NHRkfSg5/hiKwSl5tW3vV4P2WxW+rIzL0D82rIs9Ho9pNNplEol9Pt9\nJBIJSerSoLBfv9PpRKlUQrvdljFHw1iv13F8fCyYOJ0lFkGRcrm5uSmFZ5zBiQVezDU8fvxY6JaG\nYUhTtF6vh2KxiM3NTbmW6XSK73//++JpP3nyBBsbGwDm8/KORiP87M/+LJLJJPb396XzJXvemKYp\nSn40Gkm0xLyBZc17HpVKJYm+aPyBpw7rZ5p1oysb3UPV1y/aTl8HXObI2+EV3aPn/7pS0xWWvsxu\nOOyQi90YsWhENzT6dnYapt6rRzc8+nXYFT8TcHwJdeye+/Gl1j/2e/6s53DVNvbnoe+3SF6ECPRH\nkcFgIC+ux+NBOByWuUZZKDOZTIQySfYIAMF4if2yAIrceYb6nMmItD3DmPfD4SxWrVYLhUJBSvYd\nDococmCuLEg35CTX3W5X+sQoNacHTiYT4ZMHg0EopWTiFMuyUK1WpZCKDB2fz4fBYIB8Pg8AYlz8\nfr8856OjI1F0NHiTyQR7e3vw+XwyUQqLnNgZkt4xe/eTisnqUzZmYxRDZ4XRuz73LiErVgnz97F9\ncCwWk8QyaaZMVmcyGZkpKhQKYW1tTc7F+8HomfARlTgjWpfLJSwa5jXodFWr1UuGQil1qfnZTeSl\nV/S6UtAV2qKEp13p6IqTf+2Qjl6wZFfcVJR2r16nzFG560pYx7H1Y9DT43b02Hl+hnK6J6976bxu\nQjz0mHVlbZrmJWoWp7fj7DX236j30NH5+/o9sN9j/b4/ywNfZGAXRUiLjPTLItvb29J4jErENE1R\nnPQ6S6WS3AvSEkOhEJrNJmKxGA4PDzEYDKRtcDqdRiwWk0RqLpdDq9XCxx9/DJ/PJxS92WyGzc1N\nmc2Ik2+Tpx8MBkWBcntW1xKzZ9/3o6MjAHPKKD1RpRS2tuYzJ/n9fqlaXVtbkyIspebFS7lcDnfv\n3kWr1ZIePIlEArdu3UIul5M2zoQnyff/7ne/e6nTJb/zPWHyNRgM4vT0VGinZDABQLVahc/nQz6f\nl1bA7GnDqQsTiQQKhYJQFp1OJ7LZrEyRSAZPoVAQKIoQKIvZ2u22zAxGaNbr9eLRo0eIRqNIp9OS\nrCU10+VySZ0Bi7Y4zWM+n0cymcQnn3wiE6SXSiX0ej34/X5hbl0nL72i1z28RZRBO9ZM5cH1OgbP\nZbqCs3vnOgxj93YBXFJOOnzCkFKHbvRz83zscqgXPenXwP/pieswEg2F3Zvn9sSK6T2Mx+Mfwt35\nO3TjyWvxeDzwer3yeRZcc5URsB//KtjHvq8eQVxnQF4kYeEPvTFyxUlLpNFlY61GoyFGYTAYIJFI\noNFoSEdLQi+9Xg/f+c53UKvVEI/Hce/ePZlrlCX09BzZErhWq13qMU/mj65g2cee1D02CWs2m9jd\n3YXT6UQoFMLJyQmi0ahg0azunEwmKJVKMp0gcxBsF0xYJxKJYDabiafPpCzbGhN3DwQCePPNN4VG\n+vDhQxjGvJHb/v4+Tk9P5XecnZ1J10x26SwWi0JFJGWUsCQw96TJ619fX0ej0cAnn3wCAMjn8zJt\nIRO6AJBOp+F2u/HVr35VuO9M/nq9XmxtbUlHUcKenL+WOQwyn8LhsHj9hmHgwYMHEiGtra3htdde\nk1mz2JXU5XLJRCxkc10nL72it8tVMIAd2qClZ6Mwu2LSFTVbDOheMxWtPRm6CFLhd9K8dOyc9Ei7\np8/z2qEfGgodk9cVvn4c9uOgAeE2fr8fw+FQFPyial39HNPpFN1ud+E9tiv4RdGTXbnr/y/af5Ei\n142E/TpeZCEdLhwOYzKZCA7LpCEAodwxJCf0wG39fr94rsT7P/74Y+zs7MA0TRwdHQn3OpvNYjqd\nwu/3o16vy8QXzWYT9XpdJr7o9XrChSennA25KpWKUB1ZfRmPx9FqtdBut/HgwQOZFNw0TWxvb0sb\nYmDeg58Th5TLZVFsx8fH6HQ6lzpQRiIRHBwcXOqiSSiKE5onEglpmfzmm2/iwYMHaLVa+MIXvoDN\nzU0A8zG8t7cnLBvy3ZmA5ixZhEYI23DybjLR7t69K03M2Jufv5/5DPastyxLaJmEjNiZkjUCfHcY\ndaysrEiLYhpZevculwv379+X+QKYN0ylUrh79y52d3clsshkMnK/biKvpKJfhPXaIR3gMm5ubytA\nWEFXXuwzoytwe9JWX68rdf367NANjYB+TXYPmOv0KGBRlALgUrTA71T09m2fpWiVUvLS6PeQYo8E\nrlLc9u+LjvWjKO2rCrFeRDk4OEC/3xdcl1PREV7Tcx9MHPb7ffFAOTZZNUtls729LUnUTCYj5yC0\noePdbItsGIbwx+m9E2M/PDzEbDaTAqZSqYRgMCj9VkajkbRu2NzcRLPZlKQlZ8kqFArCL2dBEeEU\nTgJCVku73Zap81ZWVoQmSIU7Go1Qq9Vwfn4OpeY95Am7kOs+Ho+lYIrKslqtotfrYTweo9lsIp/P\nYzabiafPqIr3nN44KansX9Pv93F4eChRF5+X0+nE9va2GAlWz7IRm1IKw+FQci3MH5TLZQyHQ5RK\nJWn+xnuhlBLdwnxEIBDA48ePYVmWGBK32y00XdJb2ffmOnlpC6bs+K6dFmkP/e08dF3JE8/Tj6Mr\nRF2x0LPXm0vR4+d6/QXmdlSWOvaod9nTYRfdyBDHBSAdApm559yjuhHicr1Cl8fntdJ70mmcej5B\n/932pCyvkZGCbqT0+25fpkdOi4q/9OPbaah2Q3iT4qsXRejV5fN56SdTq9UwHA4Fpy4Wi0gkEsKn\ndjjmE5RYliUsD7ZGOD8/x8bGhvSTYWLRMAyEw2HpQ8M+7X6/X/qqsx89tzeMefEPnzm7SK6vr6PX\n6+Hdd9/F22+/LT3aY7GYUApJDSTUw4IutlLY2toCADSbTaytrWE8HiOVSqFeryMej0tfeKXmbQvi\n8bgYNr/fj/F4jGKxiEwmg0KhIAlszq7F9gwARNH7/X689dZbaLfbqNfr2LooUGKr3+l0iidPniAa\njSKTyUApJUwj4v6kQA4GA4GAmJNoNptot9uIx+OC47NjJYumWC2rlJJmbZwykcwcwmLFYlFm7aJx\nXl9fx2AwQLFYFAOklEKj0RAIjDAqm6PdRF56j36RJ7jIOweeKlEdv9YnFqHS0xWbfiz+Ze8PHYLQ\naYL2cxmGId4MkzSEU3Tvn8fUPWQu14uPCPcQZwWe5gnoZfHadYiHxSgOhwM7Ozs/dJ90g7bonule\nkD3y0I2q/bksegZ6hHUVbk9ZxJp6GWAbYM66YYk9X3il1CXOdjqdFsiFHSI9Ho/0etfhnL29PYmy\nWEVJj594eqPRQK1WE0ri7u4uksmkeKgcbzSorGRlzQWhhrt370oxEtezfP/w8FAmLXc4HLh9+zby\n+bwoSjbfSiQSEk0QlnG5XFhbW0MoFEI4HMbZ2RnK5bIwWc7OzuDxeJBIJKTtcaPRQCQSgdvtRiqV\nEihKn0mLkRAn5Tg6OsJgMEA8HpfipVAoJJRKVgC73W50u108evRIkuT5fB6vvfbapaRtIBDA2toa\nZrMZHj16hGaziWAwiFQqhUwmI9FQtVoVqAsAwuGwzD51eHgoVcZ+vx+7u7sy0QvvjWHMufPZbBYH\nBwdQSgnlliwuMpp6vd6NxuFLq+hv4tEtgkHsH7uC4n7AD1d+6goLuKxI7Z4+PVhdaetYPZWl3SDp\nkYQdYrEnZvVl3F7PRejfdbgIwKVQX//9ukfP81710ZPai7a330M7HPanebYvi6LnVHetVguxWEyo\neqQdki0CzPH89fV1wfJv376N6XQqFaqWNS+BD4VCMk5IxdOdFPZViUQi4vFzOQuEOA71rpnA5boS\nr9crPWxI18xms3j8+DHS6bTMm8rGXUzykoVCdgg94larBYfDIdMo0oNPp9OYTCbS5z6dTssYME0T\nvV5P/j86OhJDyWZg7CMEQKidHNPsJU8SAskOjJZNc96bx+l04oMPPgAwf484cxYhFia3uW0qlRKu\nPmse2GY4HA5fikTr9Tq8Xi+Oj4+xurqKBw8ewO12Ix6PC1QDQNpHABCngFEMoxKHYz4ZzOnpKcbj\nMVZXV280Dl9aRW9XKBRdwdIj1hWd3TPmwCb7RIcz7N4mYRF2vqNnTw+M5wOeGgF76T/PSchINxRU\n1G63WzA+neWjJ1sX8ecZfurnAZ4mjnl/SKWMRCKIRCLysi9S5HajokcYXKcze+zGTffk7YZSj4Ce\n5bFfpdTt53gRJZ1OyyQaw+EQ+/v78Pv9ktQrFosA5saNbJper4fJZCIYOudKBSBwXzAYFEVJ5cNx\n4/F4kMlkpLUuC5b4f6VSgVJKlCDxbvK1SeMzDEMolYQuDGPe4REA1tbWZFLwUqkEv98vsItpmkgm\nkzAMA6VSCQAkgZhKpSRZ+vHHH6PX6yGTycDlcuH3fu/3BF5km4NwOCy/9a233sKDBw8EI+/3+wiH\nwwiFQrKf7iUbhiHEA7fbjVgsJt0+R6ORQDnj8Ri/+Iu/iMFggHA4jHA4LNEV9QLxcL73bMvAeWez\n2aw0OWOi+uTkBKPRCOPxWCZp2dvbQygUglIK5XJZ7kW/35d5dwuFAhwOh7RkoIEnLHvv3j3pp3MT\neSkUvR0asCsNO8VSV4Q6dq9DJMDlCcHpEei0SR7b7u1TcXNg8VjsdU14xt5wiNAJz0GPgmG0XeFS\nWdMLoRHS2Ta8ZsI4/M71Tqfz0mxFVCbA0577/A06nGSHrPT/ua3dc18UKS3KjdgVs13h87nx/0Vc\n+xdZuetCJcv8SiKRkOezvr6Oz33uc/L8SeVjh0uHwyFNzUKhEM7OzuB2uxEMBi9Nks1OlXzp6ck2\nGg2pueh0OkilUtJBke0UvF4vVldX4Xa7MZvNUC6X4fF4UCwWMZlMpBNkvV6XIiIA0nee9MVkMimT\nnDOKeO+991Aul+H1eqV9MAChTU6nU4luGK185StfkYIlvi9OpxOBQAD9fh+tVgu/8Au/gEgkIveF\nThZhl1qthnA4jNdee036wLtcLvj9fnGkaFCz2axU3NIAOhwOYdmw9sHhcKBcLuP09FSOEwwGUa1W\nJUpxu92C4/M+37lzB/F4HJubm9JOgc3UiP+zCC4cDgtMtLm5idFoJMyp8XiMs7Mz1Go1ZDKZS/2O\nbiIvhaK/Sha98HoiT1fQ9n3sigWAWGNdOekURL6wwGWFpS/TKZEUGhgaIf7P83M/vYcH99M9dj2c\n5XmoNBZBVLoB1JPMNDL6NlSodkNn9/LtVFK7R26PDOzLFkE39uPqx7N/X/QsX2RhhSkn02ASlR5i\npVJBuVyWWZWIw3Y6HZncmx6laZrCkqFy43R9dFR4bI/Hc6kq1OFwSC/57e1tyRmQWhkKhaRB2Gw2\nQzabFaegWq1K5ScrYHO5nBh+Tm5CHJ59avb29uB0OtFut9HpdC5NsMJkZyQSEciT7QeUmrNustks\nDMMQPL3f74tjRiPU6XSEVcR6AN2R0s9BEgOZSPTMOQkIo+jpdCqGlPkPy7IQCAQQjUZlQhEA0gE0\nGAwK+4hREue3tSxLcjWMJJxOpzQp43LeF874xdoDABKxsS8S+x0R9rlOXglFrys+PuBF3igfov6h\ntdT59XrTMrs3r8MrTKjpzbkI4+hKWk/AEvrRvWPuB0A403rSTOfZ6lWB/O3EX+3QFI8DPB38PAY9\nOCp65gyAp0bNDhHx/tJLtHvxdrzfHgXoXr7OMroKt7d78PZt7NXPL6JwtqBgMCihPT13VmVyXJ6f\nn4u3zaQmMWSl5rh0oVDAycmJ0BHZSbJerwt7g4qPxVgs8yeWT3yYs0SxiVk4HMbbb78t2DTbEu/t\n7aFUKsEwDBQKBaRSKUmi3rp1C5VKBdVqFUqpS+2BqfTW19dRLpfR7XaFcQRAir28Xq9475ZlYXV1\nVTBxVtE6HPNOj+12WxKZgUBApkYkjk0Y69vf/ja63a7kDur1uiRv+Vzi8bgkVanYOQMUACmAAoDj\n42MkEgnxwNk5VCklM0z1ej3J1XHuAOYLOOMV8HQ6UNM0BZcnGyqbzUrjuHg8Li0zAIjBAyBFX4R2\nrpOXStHrL759Gb0JYnJsskSxJyapLMlN1VkxfFBUdro3bU/K6rCJDtVQkQIQb0xX8DqEQ2FfDR5f\nx+r1vig8vp2poxsZAMLM4TImX3lMXh8ThBxQugHRoxR7pGDH7u0JXf3adBiHTA+7sbNHAfZn/axx\n8KKKUgpra2uSyKtUKpLAdDgcwpfns2cPelY8svy+UCgIFs2qZABS1FOpVNDr9aTSk8oqGo0iHo+L\nMtdzUez93mw2USwWBXNWaj5HaiKRwMrKinizDx8+vNSegYnae/fuIRKJSPM1wzCkSIozNq2trQnt\nksygVCqFx48fi4cbDocFHslkMsIOG4/HiEaj8Pv9CIVCKJfLQh/l7x+NRvB6vfIb3nzzTViWJRN5\ncBL2Uqkkk3WHw2F8/vOfR7vdxtnZmeRF3nvvPenTD8zf31u3bolXTU57IBCQiVu8Xq9QT0l/TaVS\nYuA4mxXhmEgkIpEY+9OXy2WJAOr1urCJCBWT8USdw1m5biIvvKK/6cusKxMAC7ErHdO3Qzt25UHl\npfPlyZbh/9xukZeph5hUlsDiylN7EZfOfNEjFR6PBsNOjaS3TYNH5c/jMeHLakngadsIRhDXKdtF\neLru0evLr4J4rmPeXJWgtYudnfMiKn4aVxbBkKttGIY09iIFMR6PI5vNihF8+PChVJwSK2bCjo4A\ncWqOR7I1+L9ev8HpCfXJQ1jMQ2VCJUNYgX1jLMvCxsaGYNd6DoqRRDgcRrfblYKw8XiMSqUivWQI\nUQyHQ2QyGbRaLZkk3O12o1wuY3V1FalUCoZhIJ/PC299OBwKtEHvvdvtipIks4c0VdIVz87O5L3l\nuOe18/4Raz88PAQArK+viyGkEeH9YbtoeuCM1PXZvFj4xuiHraCZZ/vwww+lFQbnGej3+8KmYssM\nfX6BwWCAQCAglNbxeCxV1zeRl7ZgShe7ImJ5MwcSl+teuK48dR49IQzLsi4xVfTlVJhUmotohgyz\n6L3TCDG0YxhHJcwCJLIdSB8jrs/rtizrkkfH30uFwmNzANI4EIsla0NnDQWDQXkJ+Zt0Jc5z8zrJ\nbLLfV72Iir+N90unm3EbKgoqfx6P++r31J5vsO+nj4UXqZhKqfnE2AzvOYcpC4SI91KpOp1OJJNJ\nlEolSXamUimh8NFYVKtVieBSqZRUphLSsCfWo9GocPKVUpdK7+/duyfjjnizaZqXJh9hf/RisYit\nrS1MJhMcHx+LYfL7/bh3754kQzm2qHQdDofw34lTM+nq9/vRbDZlwhJOdE6joh+LCeFIJCLH7ff7\nyGaz8htM05TEKv+PRqN48OCBTE/Iwi4ahPv370sHTLYCJrzLzppKKWmhrFenDodDHB4eSouDUCiE\nXC6H9fV1nJ6eSr3DdDpFqVTCzs6OvMdk5JyensLr9SIWi8HtdiOTyUgU5nK5JKIxjDnHnrAS8xLX\nyQvv0VOeFcLbhfCETnPSH7oO3+iQAjFReuNUtAAu7UOqHJcDT+eKJQavGxJup0/0oXutOr/XNOed\nDZk30OEZQjCcm5PGRoeE+CGOTiiKOLDDMecdkx+s1Lw6kFxluzevwzP8a8fkdQiGEI4dV9dhoEVw\nzaIIy+71v0yQjS5stQtAKpuJgWcyGWFjMPnXbrclMvN4PCiVSlJCzw6KpGDqbZBN00S/30epVMJg\nMECr1UKpVJKxyiIjTnJBo01ow+VyoVgsotPp4OjoSCBH9mnx+/2IRqPSHvj+/fs4OztDMpmEy+WS\nLpfr6+viMTscDuTzeanqJFTBlsjkn3/zm98Ug8G2Cy6XCycnJ5cmVKcopfD48WMZ42wgRsWYTqcl\n8dpqtdBqtcRoUbl/61vfkvlpOb4fPnyIs7MzSaKvra1JMRYZL9QNnJ3LMAxsb29LYtiy5jOC1Wo1\nbGxsiIJm3QQnawGeVrvH4/FLraNN00S73ZbpCwmvMa/ocrkkN3MTeWkUPeWqhJ19GZUsLZ4OyegK\nR4dgdByf4an+QPRjALjk+XI5+b16YtSu5OzwiE7h1GEenlNPpHJ73WPXf59OmeSLzDCUsAF/k97T\n2jAu9/KhgbN71rrw9+nXaods+JvoaevXr2/zLCX+Mit74rJ8vlRkujOiKzAqb8IxLpcLyWQSt2/f\nlm3Yt55V0L1eT87j9XrlO9sCcFyvrKwgEong8PBQGovR8zdNUyiBpAmzZwyrMGmMDg4OBMoknEAK\nZKVSkfYFzIGRzcPxyrJ+0irT6bTkMQDIfqY57/Co1w4QuuIcrQAkQmAUzjyCw+GQqQIZwXA9WTAs\n6CJ//e233wYAoZlOJhOkUinxwDmZS71eR6/Xk55ADse8qRrfPzaEY9KcUItpmojH45car7VaLeRy\nOVHc5PkTCuIzJ5xD2rRhzPsM3UReiqkEn4WlU4nqylZXNqwATaVS4iHr2y1aVqvVBPKwK2Xdc6UX\nZWd/EP4IhUKibPXEK8M4HlMvlqI3wGw9tyd2R6yRTAV9X66nZ87+5UopwWgZsnKiaA5cvSScfGcd\n++d1MpGnPxs9UuHLqm+js5K4Tq8g1rejEbB/dMPD+23/Tlk0pq3nNJXgz/3cz1lMoFE4mXe1WhVv\n2M5r/LwAACAASURBVO12o1KpiLJiX3TyxPX+RmzlSz49o7JCoQDDmLfwbTab0kK33W4LHJPNZoWz\nz/lm6QzRI6aCe/z4MX7qp34Kk8lEipcIA1arVRwcHOD27dsIBAI4PDzEnTt3pMspC56azSb29vYE\n66eXWy6X5f0LBAJotVqXGCWWZeH4+BixWAyPHj2Cz+fDyckJ1tfXcevWLXzjG9/Al7/8ZXEwXC4X\ner2etDqg4qZxAIBEIiFjTMe6mewtl8uX2i6Mx2NsbGxIB0saEzY+Ozk5wcrKCsbjMQKBgPSIHwwG\n+Na3voWvfe1ryOfzGI1GQpeks0ZU4ODgAOfn57h165ZAaV6vV7p+MhfD+8qxQ+ehUqng/fffv3Zs\nv/AePT1B/eW9zqvToQDi7P1+X7xlnZqoGxHiiSxqodKmIiVEAuASe4EPTsfkyZPlcl4PmS3kwers\nH16T3jaV3ja9YZ3hosM0ev5Bh5tIyyRbgGEfcwCmaSIcDmN3d1cqMO0GzW4U7bRJPQGsR0b2RLI9\nSgIWJ3f158vnf50H/6J6+GdnZ/jkk09gGIbQJ/lc6VkOBgMUCgVRBMTG2cKAjByyXNrtNg4ODiQ5\nS0dma2sL6+vrME1TJhtZXV1Fs9mEx+NBMpmUcxYKBRwcHMg6Jv5oHHQYxeFwiFOh1JwqGI/HL1Wg\n3r17V5Q3x1YgEEAymRTn4qOPPsLa2ho6nQ6SyaREJJVKRWArr9cLwzCEvcO5bXd2dvCVr3wFm5ub\nGAwGePvtt8U7L5fLopifPHkiMAlbBtPzHQ6HAnXSkeO8vKwlaDabGAwGiEQiCAaDMqMU++OPx2Pk\ncjm0222ZJtDtdqNQKAAAHjx4gMPDQ+zs7EhzMj5z6iJGN9QnGxsb8t5bliUTsZO5l8vlBMYjFZSU\n0psWTL10ydibhvg6C4VQhq7U7dAK8BRvV0rJdGb6fowcmATRlRY9e8IfeoWuvi8TSDrUwe3obZCD\nrHsrer6Ag5UDQo8+9L9U9Ay/eZ38zXqlrg4pkLKmQy40VAxNeY/1e8p7x/ttfyb6d32/RUlZ3cDr\nyxc98xchKr1KdnZ2pPkU+9iwWKfb7WJjY0OU48HBAbxeL9LptCgxUvkIrYXDYbjdbrRaLcHXAci4\nnM1m0hOFUcA777wjESJhlmg0iqOjI/H0aTR04gBbFbDXDeE/jg963qT5xWIxUVZer1eKt8jhJxRB\nB4jVqJY171hJkgHHbCaTQa1WE2iL70Wj0ZDZsAzDEAPGPva1Wg2JREJaE8xmM5m/lu8poR1GKXz/\niKGPx2OpaSEcS3YUi6GY5GYEMBqNsLu7K9XASimZM0BHB+LxuLx329vb4tidnZ0JSsApA/k+EgWg\nI0ZnjcbsOnnhPXpd7J4egCu9fX7XMW/2jLZvpxcg0cv2+/3Y2tqSlwyAZMjpYXGmJXqqehUicJnZ\nwmumAWCxFfB08NHCcwAzocrvjBbYk5pWXmes0Gtg8oushE6nc2kfp9OJWCwmyptYHyewiEQilxKu\nOjymRxO6Z2/PQ+jP4Kr97c9Tl0WMmkU5gBdZCEdQ2R8fH+Ojjz5CpVKRak1+VldXBbem8uU2eg8c\nALh165bANaRM0gsE5mP9/PwctVpNnI92u418Po9qtQq3243d3V2ZoWljY0PG1Xg8FniNSVEqTeYG\nLMvCu+++i2q1ilQqJQqRsInL5UIsFpP2yowcc7kcotEoTHNelLW5uYlYLIaTkxMMh0NxaOjZk0ZZ\nLpdRLpcRDAaF1TIej6Xwi1AGlXa73ZZWAyzKotcMzHMnpmniD//wD/GFL3xBIpBUKiXVx+Tb04N+\n8uSJcOKZnF5fX0er1RKGDJU3IwKyotjQjm0nWD/BrpxMpFMPsZCLECy7iD569AitVktmDbupvFSK\n3q7Ugcuen70HOv8S+uBs7sTguQ0VsmVZMvUZH242m0UymZQXlvxXnZ9MXI1WWh8cHHiEUABIuEs2\nAXA5Z0CPhiGsnvQkzMMXmi+RYRjy4GkMOKB0vi/xeOBpv5JOpyPTzDkc85Jv5jSAy9x/PYmtN3Kz\ns210TFqPDPTrtRsE/rV/X2QIXgYlD0A8bBrvlZUVbG5uotfrIZFI4OjoSKpbp9OpPDfTNIVXzXFE\nRcxxvrq6img0itPTU7jdbsGcORnH7u6utMRlC4FQKCTecyAQwL1799Dr9cT4Mwrw+XySCCWHW1fC\nlUoFd+7ckciA72UoFMLKygqazaYYlF6vJ8ln5ozY0fPjjz9GOByWOVdzuRxyuRxGoxE6nY60BY7H\n47h7965M3MEKYM5kFY/HMZ1OpVdMKpVCpVJBs9lEs9mE0+nEwcGBJDRN08TZ2Rl2dnbQ7/dRLBbF\noRoMBlK0RY67x+PBysoKDGPe1I1FmcPhUPoAkZbJd3E6naJYLMrv52QsAFAoFNDtdi9FJolEQiCy\nd955B263W/IpvB9ut1uK20jPvYm8dIqef+1e/CI8l3/ppfT7fXnQOpuGCU29bww9a5ZbU9FTIbP4\nggVJvC490iDsYvd+eVwqcB26sHvLdriD+9IzoRD20ZfztzEC4W/geQAIw4LXrIerOt6uH9N+jfpz\nsB9f35/GRl+vi37vniUvi5IH5kZ3ZWVFGnsB83xRIBBAOBzG1tYWarUaarWaRHxU7hw79Xr9Ej2X\nOD4ZKDqOz5xOt9uVias7nQ7Oz88lcqRCY2sFOgJMaOqFQowS6a0zas1kMmg0Gsjn81hdXUWpVLrE\nXyfvv91uS+6HlbtUfMlkEisrKxgOhzKxRiKRQL/fh9PpFGoosXEazdFoJA4ZFTuj8Gw2K+9CMpkU\nQ+F0OrGysiLefr1ex507d2SC9bW1Nfl9wWBQkrocp/o4tyxLjjGdTnH79m3JQ7DvDyFjMnaI8fO+\nxuPxS3CoTsJgcVg4HJZxc3h4KJDydDpFq9W6RCS5Tl4qRU9Fvshz19fbYQG2MyUu6HQ6kcvlZHDr\nMAoHPr32eDyOYDAokwrT2+JLS+wNeNqdUk866tdKb5ZzVrIfiW4sdCNDGMl+nbpHzMHJUBh42sqW\nTAHmBvjC6UloNpHiQNYbWeneuv4xDEOaaOkevv4s9AZu+vMhBMUoa5HHrkcGN4FqXmTFf3x8/EMt\nDba3t7G+vg7gqSHQq1/J26ZDkslkZHzoRXzdbld4+aenpzg8PJTJxdnSwuGYN+3SJ6RRSl3q2U58\nmUwcGh0mbmu1GjqdjkA/On2RFa6pVApHR0fY2NgQOMLlcqFWq0lzNr1jY7FYxGw2kykDM5mMTHhC\n9k82mxXaIlsqs1Uv534NhULCsGGxIOtQXC6X0ELPzs4ESiGThlE2G6SxnoTwLHMhNCx6voIN6AKB\nAEzTRC6XQywWk2pmMnUASH+fQqGA2WwmCW5G0Pl8Hvl8Hk+ePBHjq1OjJ5MJ3n77bfh8PsRiMcTj\ncfh8PpTLZWkjfZ28VIoeuMzE0JN19kSsfXti6lTC7A3OiQwo9NJdLhdCoZDgkisrK4KZ0zumx8X9\nGPLq3htDQTIZaHi4r5401TF7wzDEO6fC5YvJF1j3gKncGUXoBVHE3UkL0yt7lVKIxWJ488038dZb\nb8mLbWfXkO1DyMbu2QOXE6zc376Mv1GnhfIZ6XDOyw7ZUMiuWVtbu9SXhclYjretrS3Bvd9//31p\nT0sP2u/3C64LzO8l8y56C4RCoYByuYxcLoePPvroErXX6/UimUyKU2BZlvDlW60WisUi2u02gHnX\nzcePH6NarQpkQLonHSGSBDg5xvr6Os7Pz8WRSqfTglWzN00wGMSDBw8QDofx4YcfIpVKIRqNwuFw\nyPR8rCJ2OBxIJpM4OzuTAiiOfyr4dDot1EZGHyxCYj6KBWgsxOr1epfaKnBWqng8jvPzc9n38PBQ\n2iizzTGNXyaTQSaTkcR6Op2G3+/HF7/4RdTrdTkGI3BO00j21IMHD8Srn81mSKfT0teHpI58Po9e\nryf76Y4sK/4zmcyNxuFLo+ivCusXYfb8a1cK7LfBJlIMBanYdOWt48c8D4s4dBaKnkjlS6lDJEzG\nMjzW4SR6tfTedSaOrjy5jtTJdrv9Q20IuB3xQZ1Gyutmv25eE0PdN954Q7yhfr9/KYmtf+cx9YQx\nz6+HtroC17fRr5fHthtq/fuLzKa5qRBWASCMFSbyyHihUzAajXD//n1RIOTFc3xQ6dKwp9NpAE9n\nRGKbA5/Ph3g8jvv378v9DYVCAlvWajV5zpzkmzRAQnbEpLvdruQAyI0HIMVehDU9Hg/29/cvQROW\nZSGRSEizsLW1NVSrVansvXfvHkajEZrNJgKBgHSb1JldxNs59g3DkI6byWRSxjehKJ1+zIiYxpEG\njREFI9NGowHDMKRg6Y//+I9lMvRarYZmsykwGdsfMFfBaJjvVjQaFe4+C6b0dhNk7dBI09HL5XLi\n0DFq8fl8AgExeiDDR3debzQOf6yj+lOQRR4eBzO7UOpsFbYuJV5tVyx8wLlcDuFwWGbF4bG5j2EY\nyGazyOfzlxQ2lRYfGgBpeTocDsWLZyTB6kUWkHDQ6BN6MxnL8Bh4CoUwQcNzE4PX7weNGBlD7H3C\nqIPJZVJEaez08mu7Eqdhcjgc0oJBfx70Qvg77PeOHz2ZSENAQ8ZrtFMs7edZtP5FFdISp9Mpzs7O\nhBbL58JWBXpTsUQiAaUUotGoTOTB7ev1ukw/eHR0hEwmg/Pzc+lzT0ZLuVzGYDDAzs6OwEYsiIvH\n46hWq4LlO51O3Lp1S+APjstGo4GNjQ1Mp1PU63VEo1F5RlSEeiJ5e3sbPp8PzWZTJv/g5CjEr+Px\nuODQjBSAueFgvoEJTjZJ42TkZP/E43F885vfxDvvvCNdOun5lkolmaaRtGL2CqJ0u11kMhnpS08u\nPY0l32+diqyUkmPqTt9gMBCDx/tGCrXT6RSjxnqHyWTemvrrX/+6UJhZNdvr9eQeEyZmUzgaYPbv\nsjtX18kL7dHfBJtlWMsHThyNSjYSiWBjY0P4pnZPn6Fct9tFPp+XcJXrWAzEF2Bzc1NYL3qClmEj\nsU02Q9JhFip8KlTgMiZPeiU9EyptAJcMFfezLEt+F1k6NHhk1+jJXnKTqVDIxydWSvolFYtOxfz/\nuXu33zazLL374UkH6kBKJEWROkuWLdttu6q6q6u6arrRM4NJ0pkBMsldLpIAuUkucx3kLkj+gPwB\nuZzLdAaYBJg0etCNnq6aSpXHLpfPsqwjKVI8kyKpI/ldML+lzbflsj/g+9CqbMCQTPHwcr97r73W\ns571LJc55BZHuQll9zsygsGg4Zhew++9t26k5L33l2H437Y2rsqgEEqSotGoRkZGVCwWLcrjvhWL\nRWusgWcbjUatjR5snFQqpWw2a+wan89nRXiwQnAiMGTo0Pj9fj179kyZTEb5fF6JREIrKyvWspD1\nyvqBtz8xMdHnNXc6nT6RtEQioXg8bgU98L5JDgeDPSkDWvZhgJeXl02WuV6va2FhwYqnksmkQRQb\nGxtmDDudjsbHx7W8vKxGo2FQJQlNNw9F9ERimA5NQLNAN2NjY6ZtPzY2pmvXrmlsbEyVSkW7u7vm\nXOzu7mpyclLDw8PWD5e9fHZ2ZtER8sRnZ2dWNBaPx/v043HamEcq6YGlgDaj0aiOjo4MYpuamrL7\ncH5+blIWbxtX2tB7hxe/JbEJROLi9q73fn5+btKn7nPA1PEywdEPDg60s7NjBp/wmhOejet6pK7X\nymdiaDGOhOhcO4lSN9fg0jilfkkHt3gIw0p5N89jAfP5Pp/PEm142UQBroqme10YazdxiuHnO7nQ\nDNfqNd6Elq64nJdtc5nB9nrsXljH9eKvukePV4pSI/P6zTffWM4CqmMqlerDzxHBKhaLBr01m03j\nnNMwOhQKmZwFSdZisah6vW6RJvefSIziLUgHJGTxWFnvLtNG6nneGxsbfYJnGFhgENehYc9g2GDl\nPHnyxJLGLmuNORgYGLDkJNW0oVDIumahQkmEy3ofGBiwSKHVavW1KcReVKtVq3p99uyZJPXNBYcJ\nEBue/Mcff2z1Jn6/3zR3qFUBzqJSmUOH7+fmu6C8VioV7e3t2d7ge1ChK8lE0NrttlF1sVXVavWd\n1uGV1rphcbmGxZ0sLw6M8cPooZbHAh8eHtaLFy8MTkmlUoZLY+BcdgLQCVg8j8OAYYHhIeMlSxfy\nwxhJwjb+z4biwMGb58A6PT21blJAQiwQrgNPm5uO4QBG4cDh/aG3uRtLkvL5vF0Pm9Kt8CXaIKns\natJIMkYT90CS8fO5Ngbfjffh7xh0Npr34OYfj/NefJ57PZet6e7vSevmRz/6Uffw8FCzs7PmlZH8\nk2R0wE6no93dXZ2cnPRFjazPfD6vubk5ST2Ygn6wYOB45ESBY2Nj6na7prBIpBCJROzejo6Oamho\nyDTkBwYGND09bc4BWDgSGoFAoK8YCg0eftJMZG9vzxqRzM3NaXl52ZQzFxcXLdcwMzNj7BPokQwk\nlyXp/v37+oM/+ANtbGxodHRU8Xhc3W7XKlAnJyeNKYTTVSgUFIvFLIncbDa1sbFh0CVFRxwkCMl9\n8cUXmpmZUTqd7pMY8Pl8Fj0jmVAqlaxm4fz83BxAEsCuwwPEEwwG9ezZM1WrVX3ve99TNBq1Qzmd\nTisUChnUk0wmLenudQyhQJ+cnOhv//Zv37q2r7yhfxMrw6UYugYf7wPv1k2gYqDL5bItBPioLGQ3\nienKB2NQ+Z2wFY/JC1lclpx0f2dBugvJbe/HDUWzGiPverccIBgNro3/8z6wIygT51rhOVNOL6mv\nEMu9PgSdpAtRMphBGGDmmkIS10Ph8OEn3xOYy2vE3QPlsse5Ru8/HveO35ehv3nzZheVRZJ/jFar\nZeqP3EfqMzickTWAyQGGjZYL0Vmr1TLv2OfzmUzAy5cvjaa4s7Nj2vOjo6PqdrtaX1/XBx980Nd9\nyk22AxPApAESkXrRCnDl6Oionj59qsXFRWOy4Hi5TUlgxwwNDSmXy6larWp2dlZ+v99UHcG5i8Wi\nXr16pffee88iwnK5LL/fr2Qyqb29Pa2ururk5ES7u7sWMbGuaCh+eHioeDxuMFmn01E2mzU2y/37\n93Xnzp2+vYyQGDAKhWSogsKxh5WH0BjP+/zzz3X79m2TfSAyGhwcNOnls7MzS7yfnZ2ZtAIHDMJm\nVA4z70tLS2b4d3d39fXXX//fIWp22XA3u4tdexMUGACM1tnZmSUj+T/h5WWfgaFxjRQhE9g9z3V1\ncVw4xk0wuhi7i3O7xglDDI7rFoy4MJMbGRB1MFiEhNDd7kXXIb4rnGE+C4jJPZhc7rzLwuEwdBPh\n4XDYen26kBMHmzeB7YVtvEynN62Bq47LuyMcDlsxUzAYtJD85OTEcFykhKHlQo3FuyO6A9smwmo2\nm+bJQ8UFHhwfH5fP59PKyoodxlNTU+btY1AjkYi63a7lA3w+nwqFghEUXAE8SSZjcHJyosePH1vl\ndafT6SMywPOXLphHbs0GdMPl5WVjnJCjcPNDMIdgyA0ODiqdTpu8MBHhq1evbF/4fD7rkhUKhaxq\nFh1+vgeR6507d9TpdEz1k2biVNXyWgqhSPYSzRCVc03dbtcE37g+Djg88VKpZPMKbXZ8fNxyCOl0\nWgsLC5JkrMChoSHFYjFzjjqdTp/j8G3jyhp6dzN7E6gMN7nnGnSXuueyPEhUNZtNra2t9WGRroF2\nXyNdtAXEsBNWI3xEhpwKQpf6yE9uOIvRxfDB5t3EK9cAY4MDhpsM88GVY3DnA5ooXF634hKP34VM\nwIkx9kQ5XAeHhN/vNzYPmOri4qIl1NwEnAuruQlYd469UZk36epdD16M/6oPSv0x7pKsYxGJNuaC\nCNKrNMq6a7fbqtfrBuWQcD0/P7cKZ6LOUqmk/f19S6ryfm7Uu729LZ/PZxRASYZxZ7NZTU9P27VF\no1Gtra3J7/drdXVVAwMDWl1dNakDYEESwfl83qpe19fXVS6XjRHjCqNlMhktLS1ZLqfRaMjv9xuf\nn+/OwYWHHolEFIlE9OTJE9VqNc3Pz5uBbjQapjfDvJBMhm1G0REYfDDY68maTqdVqVRsLumqBfQL\nTEZSlev1+XzWLnB4eNiEy2C2uc3PJdm10RTl6OhIDx8+NDljagjm5uasKTqjUqkYqsHB/rZxpemV\nlzEy3OF6yRgWtxDHG+5jsKWeN7u0tGSVZRi9yclJ25Cuh+tuIjwML+3MLVJyDwovFRFcHwwdD9sN\nO8HSgS3IvNMsuNPplz+WLjxlV9GSTlXu5+MNAuuQpGIuO52eaBPderg2DqqjoyMr68/lclZl7CaE\nXbqpe9i5eRQec71A9z67c8i47DFvotqbsP19jrGxMR0eHvYV5QBNoL+yuLhoHYkwTCRlUVIkjG80\nGmo2m1YZOTo6avBCu902ZgrMFQx4t9srEiyXyxobG1MsFjOoB9VM7sPi4qIxa3CGmPfx8XHt7+9r\nYKDX/QlGTrVa1ejoqDqdjra3tzUxMaF8Pm80TL+/1wLv9evXSqfTRiGk4Ug+n9fg4KAZzng8rpcv\nX+ratWuWZAVOAdYJBHqVuScnJ0qlUiYDPTQ0ZK0PJycn+7TkDw4ONDo6qmfPnimRSFhuQpKpflYq\nFXU6HbMFw8PDisfjFt3SKpGDh6gMKI6D2iUzQIvtdrt2j9HRmZqaslwBBzGV7H5/T6r5xo0b6nQu\niq+63a6Wl5e/+x699LvFT97N6zJWXPiGv7nevTexy8JdXl42wzs5Odnn+V4GD0EPo0IOY0+vTaAc\nDhqv1ypdqFXymAur8HfXc3eNF148CVDXsOIVUrnqwiMuNIX2j/t5LEq8D/e63IMCCIACFzaHCzW5\nid3LPHA3p/ImD93r3fP/b2PpXMXBRqRjEXON0uTMzIyxLoi+qGDudrsGhY2NjVk0hfEKBnuKh1tb\nW3bP3YQdcAniXNFo1CQ8ut2u0um0wSc4KS6UicNDjgjGEK0FoVES4SGORsQLfTAajerhw4c6PT2V\nz+czBUh6wwI7hUIhjY2Nmewxh98vf/lLnZ+fm15Pu9023BqjGQqFTP4BuBR4Ch0dSXr16pV8Pp/J\nFkO/xIkh0iLPQfNw9v/x8bGKxaI9zlp35w4oZ3p62iCssbExUxKNRCJ9sBBia0TQXCuRNVx/qUeh\nXVpaMgjoXSPcK5uM9VIp3cek/t6kXgYORg0j5T6HcAfj7nqWrreIgcajxnvmRpKAory72+0JguH9\nUKLNe+Khc8jgEQCz4MlLMjEpKnk54TnRXdkEDABiZKFQSJFIxCofiS5cGqUbwne7XetaQ5QAtupG\nL7CUSCbx3VwGDniym2Tl81yBKJdxAzTlJml5Do9/GwvnTYlY77r+fSVj/9k/+2fdzz77TNeuXbPK\nSemiGC+TydhzOWBJ9kPbI1GaTqfN2DQaDUvGuj1ir1+/ruHhYdXrdfMgMRKsUw4AN9dSKBRM9Evq\nrUEYOqx36jsk6W/+5m+suxQNU6BLVqtVVSoVO3yWlpbsHj5//lzpdNrUHROJhLLZrFF30bT/4osv\n9LOf/Uy/+tWvdP36desWRZEZipFAQSQwG42Gtra2lEqllEwmdXp6aqwet50mEJUkZbNZ3bp1S0dH\nRxbtIlJGExgw+d3dXSUSCU1OTtraBXKDhcMh4VbIB4NB7ezsKBaLma0aHBzU1taW2QQSsRwiREj5\nfN5Ye7VaTVNTU9rY2NDS0pImJyf13/7bf3vr2r6S0M3bkm0uNOJN4HmxXhgMnJR+v98y5y7UA3TB\nppJkbBU3B4CRlS5CPfBGsD66zI+OjtoidOEVqb+9nouxu1i8JPPeSQi5ntPo6Kid6iTlCFsZeBrS\nhVfPwsIIkJTjO7g0N9T9SM4Rqvr9fqXTaeVyuT66oOthuPg+m96bUHYPTzdy8kJ1boT0Jufk21g3\nv88xOztrcIskYz7RShBGRblcNgneYrFoDCiYIERvrGM892QyqWq1qlQqpdevX2ttbU3NZlPHx8ca\nGxvT3t6ewTvdbteqoE9PTxWNRq0BCqJmJObxJtfX17WysmIJ4d3dXc3Pz6vVaimZTBqHPpPJmGMy\nPT2tsbExS7RS+k97TRySv/zLv9Sf//mfq16vm6zwyMiIPv30U3399df6wQ9+oHA4rI2NDRMLi8fj\nKhaLSiQS1jAFXvzg4KDRIIE52eexWMw49MVi0aqIkRYAloQ+6oUUmevt7W21223FYjGjPk5MTCiZ\nTKpWq1mx2MbGhk5OTmwPUaFOZXm9Xtf09LTZEfYWjBs+m3kngez396SSHzx4oA8//PCd1uCVhm68\ng82PAfBubG6ol5LpluRL/X1OvUVQePyuB87j3gMIg8nrCQH5bLxQl67Ge7nRhvsdMPYun55EHokg\nHgNCInT0+3tyDjwOY4fP5nl46iSPotGoNZSmytLv92t5eVmzs7PqdrtWUu+ybijIcefDjVhITLmG\niflyqatuotobxXFfveMyGOcqsnHoO0CSjWQqdLzR0VHzwjG8HLRnZ71+vhMTE4pEIkYmwFHhORym\nrVZL6XTaWtVNTk5KknmbeLWoPaKn8vDhQ4M5wH9ZvycnJ5qZmeljh5AkXFlZsebXwWDQDhOKEGH4\n+P296lPow0R4o6Oj+pM/+RMztvReRfWRaKHRaGhyctL2RKFQ0MzMjAYHB1WpVKxwKRwOK5FIKJFI\naHp6WtFoVLu7u+p0OtYNK5fL9SU2mQNqaSKRiLa3t7W/v28GG8x9fHxck5OTisfj1goRRtX5+bnR\nSLlPMzMzSiQSGh8fV7vdVjwe1+joaB9d+MGDB7bfBwcHNT09bYlYKvaRvEAXiL4DsVjsndfhlfTo\nGd+WgHU9GtfgQzl0IRveg0o9l/2Bh47nDvY1ODho9Cw4uWTQ3QSqyxTgsfPzc8XjcZXLZWMj8Pc3\nJYtdeMaFNOheg+fQbDbtAAC+QcLVrcB1DxEMu4vrUY4eCoWUy+WMGkeeodPpKJfL9RV2wRfGcfcn\nmAAAIABJREFUuAAPURGIsQgEAibY5TaeBq90C6m4x1zj27xxb77m23I3V2HQX/Xp06daWFiwRCka\nLByOGC83IqRDE2E7niXYOdg4TBI6FWUyGSt8qlar5uFidOfm5jQ3N2eR4k9/+lODMzqdjvUlJdrK\nZrNqt9sGofh8F71lJycnrRgIDSfWEVjz559/rtnZWe3t7en69eu2phHfY98Ui0WTYBgcHFQsFtPm\n5qZmZ2ctNwBlkYrYxcVFHR8fK5fLKRaLaXt7W6lUSuVyWclkUtevX1exWNTx8bHC4bBu375t8gUU\nUhFdAE8NDw9rdnZWhULB5pH8Fwlgn89nvPdGo2EU10ajoVKpZEqc4PgkaoFZs9msUqmUZmdnzeHC\nVqBlQzMWbF0wGDTtnJOTXsNxKnvfNq60oZf6vfXLWDguRusaNtebli68TZJVriHEw4ftgCFmYUmy\n7DucYB6XLpgg8MdZPG75t/tdOFR4revFg8vjsQOL8B4jIyOWzEIoCdoYyTiux+fz9V2HS8Wicu/4\n+NjqCg4PDw0jZNO7uQIORbxJ9+8YfBZzt9u1Kkq8EA5JL3PGS510/+4abDdf4P2ba9yvipGXLvjk\n165ds+5IwBswRLrdrubn562y9fDwUJOTk2q1WspkMorFYuZZcgCDMft8PZnpSCSi169fK5lMKpVK\n2d/hd3PoQvcEPiDZOzk5afg00QYNsOkdC6QBrgzMUSqVND8/r263q0qlooGBARUKBd26dUuTk5O6\ne/eusXqmp6c1MDCgTCajXC6nqakpa+h98+ZN68t6cHCghYUFg7TQ0uHgwhEi2RqPx7Wzs2OJblQ3\nV1ZWND8/r0qlYpTRkZERS7Ti5bsJV2AbPH3onRShsVfYX2NjY9aIBILGyMhIH53WFVzks4+OjjQx\nMWG2xCV0sL/Z0yhl+v1+u26ioncZVx66eVMY7/68DNt1qYouu8UL67h8b57v8/nMk5UupAZgPeCJ\neDPeeObn5+d9lXNcD6/h2txrwGDy2na7bdWlGHLCbuAYl6mDR42gG4kzYBze14VHgsGgEomENZSg\n4bPLZGDOaODAfBOKo9sfj8eVTqfNiyuVSmo0Gn1t9JgH9wDk3jAX3nt7mVH/Lg0Se8FgUFNTU+bN\nuhIRPp/PIiDmGiVFHsdhCYfDljQlOc+64h9/q9VqmpyctEIg5BSmpqYMPgImqtVqpkODQ0SlKWtQ\nkhknn89nzUImJib06tUrY5pMTU0pmUz2sXVgY+H1rq6umkFdWlrS1NSU9Z4lT0RlLPo2NAChViWf\nzxtjh96szWbT5rjT6Risw7Xz96WlJbXb7T5ZCGpMMLSnp6f65S9/acJ07XZbDx8+tHxDu93W69ev\ndXBwYMWSRDKw9qDRcl9AGODOQ8s8OzuzoiyQB/Yh1dFURuMYvqnQ87Jx5T16xrfhtK4xcBktGHF3\n4vDyea6LnfM7CVzoVpL6ipbAI11tbhaCK0sLlOF+LoteuogAwLlPT0+Vy+XU7fa0x4FAeA7wEVAQ\nTBdJFmqzydkQrmGNRCLWgBlqHFV3cHbb7bZRLKF7YUBIIoLjS72ENHrdBwcHqtfrBi0BzfBaFj5z\nL/Unb11PHqzfvddvgmi8EN5VGtDpaHm3+H8kAijCyWQyxveW1LdOJWlvb0+FQkETExOmv+7z+bS/\nv6+pqSlL0FJRiWMDxACzBAiBdUGxH5Gj399TiiyVSkqn05YP8joTkkw2odVqWV9idHioEwCnJ1KO\nxWIqFAp2vwuFgl0PHjhrZW9vT2trazo7O9Pa2poxi1z2UCwWs0pS6IfFYlFTU1MmZcxnurmzgYEB\naxrO40dHR5qcnLS8E4yemZkZ/cN/+A/tsGMv4/A8fvxY9+7ds0IxINO5uTmDpo6OjrS3t6d4PN5X\nhBWNRk0bn0OFArpqtarp6WnrO8GcEa1TU1AsFvuIF982rryhdzey6/F5Db/rpXshBQwgZcYYEDYT\nxgzP3U0wSurzqIEogFPwol1Yh2vl9GUj8V1gwrieTqPR0NOnT62sGjycRSFJW1tbSqfTBh25iVaX\nWQOOSyEUzwF7DQZ7pfiRSMQUJt9//31JPc+OxDKFV+12W4VCwRoSo2/O3BFlMCeuEXcPNebFTUp7\nk7Auw8lL77wMqrnKRl6Sebb0Qm00GorH44rFYtYDwe/3a39/X4uLiwY5cr9mZma0s7NjzC0irYWF\nBR0cHJjE7dHRkdbX1zU0NKRPP/3UoBscBeiO+XxeY2NjikajpnOO9MDW1pZWVlZs7RBVcvhMTk6q\n0WgolUoZ5W92dta804GBAb18+VLRaNTyCyTwK5WKZmZmdHp6quXlZe3v7ysajVoTjmQyqfPznvbS\nysqK7WPW0tramuUcMpmMacVEIhFLZEajUdu7QCWDg4PKZDKam5szz52DkusDloEqiWAb+QhJ5rgs\nLS3p+PhYQ0NDWlhYMJorThD7GkcRqBO5b/JuwHZnZ712peT/KHqrVCrWzQt2Fjm6YrGoeDyuvb09\ny7+8bVx5Qy/1J2W9MI4Xt+92uzbJrtGXLuiSeMTgjgw8cVeGGON1dnZmGClJWkmGffM8N/Rjw2Ks\nOCgIJQnTjo+PLXyDJx2NRk1d0E3EkfQi/MMguqwiDi6Xpsm1SbKoxO/vVSAODg6qXC7bYQiOThk9\n/HqgHMJv5poDx4WzXCzePVj5ji6Xnr/xHV0YznvvvcnYqz6QhSAixHD6/X7NzMyYjhG8bOmitwD3\n3tVU4n66zA2fr1cAdPfuXYNfMCa8DwcCcAsNLCRZ3gDnCDydsv1SqaRYLGYQRbfb7av96HQ61md4\nZWXFIgHaCg4PD+vp06dGM6URyOHhoQqFglE1OezYtzhQfH8+a3Z21hwWjCNGmwOG5i70oT07u9Cb\nabVaGhkZUT6f18TEhOHuUE+ZK2/EHYlEFI1GbQ27LQw7nY7q9brN9/HxsR4/fmxaQ9wzSSaOBhuN\nXrU4eaFQSIVCwQ7bkZERg6ICgYBJKN+5c0eff/75O63D74ShZ7ienzvcAimv8QD/xchilLkhXg/U\npQByA90wzH1et9u1TcxNdOEO6aI4iUXJdbDxaSkGXst18/70uZRkCR6//0K1klwAWCC8W2AijCXv\nDfZK+XUmkzGRJp/Pp3Q6LalnbOLxuEkhoIVN2E9ilYSRV/LAhZHcSmCuwY1weI373d1iKW+S9TJv\n/qoafqpSEcOiIpL+o9BPkdllLSSTyb7XbWxs6M6dO7aGuZ/b29saGxvTwcGBgsGeZv3m5qaWlpZM\nmAsGyN7enq1vqsCh9JGwhc1SLpetYAdvm2gUmIWIFCol2i0kgNPptE5OTszzpG8xjVMmJiaUTqd1\ncHCg8fFxXbt2Tfv7+4rFYhobG+tLkB4cHJjSZTAYVKPRUDQaVaFQUDqd1vb2ttLptF68eKHl5WUF\nAgHrGvX06VNdv35dx8fHRtnEieK9o9GoOVv0c6Xuodls2v9hu9EPACE/5J7n5ubsQL9x44a1KaRP\nQCgU0sTEhFX5cuhPTU3p+fPnmpmZUTablSSjhXIIuxASdRDXr19/p3V4ZQ39ZdRKL7PC/R2v1q2S\n9RoPCiIwghh5t8oW+OX4+LiPW+9GApz+YM5cmyRb8EQHDKIAjJwra9put81g4z3TC5IDgMy/t+ck\nuD2HCdcIlAR2j1cEXj8zM6OhoSHNzc2pXq8bRr+3t2fl+XCn3e/AQeXSVF0IycXWWZwuLu967a4x\n93rx0rezb/jpRg5X0dhTYdrpdEzvhCpLitWgypG0C4VC1qh7aWlJ4+PjunXrljFikBaQZJFAt9vV\n8+fPNT8/L0nmEeNc8FzwZ6QCiOKKxaLC4bBmZ2eNOeM22wE2CQaDisVi5vyQcJ2enlapVNLi4qKx\neQqFghUUDgz02gDCuuHw8fv9VvELNEJl9meffaaZmRndunVLnU5PHRP1T5cy+uDBA42NjWlgYEAr\nKysm+gUUOzMzo0KhYNx3WDOuE0Wzkmq1qrm5OXsPuj7hweN8FQoFo0GiIkrED3spFotpdnZWrVZL\n29vblgsbHx/XzMyMsdnYlzdv3rQ8DgdJo9Gwe4rjJl04tQcHB++0Dq+sob+MafOmv7sb3/UUMd7e\ngYHwCn4RMQDH8B5oTLNpXPzfPZC4Dk5gkjRUzPJ6jBmQDc/hwMJASv1dmzh48Ko5tPAOeQ18X4wx\nBh9GDRFHu91WqVTS9PS0BgcHzcB3u72iFOaI6yW5jHFic3rnlsFh5xpy73AhHNfQu5GZ16v3Pu8q\nD7xzn8+neDyuV69e2X0ZHBxUNpvV6OioeWh4+GDM0F2DwaAqlYqKxaKuXbsmn89nLRphlrz33ntm\nlGFhYZjAhIeGhlSpVDQ8PGwYPM4KhzI8b57j9/ealEQiEeNwj46OWqTM+uMgkmRwAwJk4NDUhHS7\nXSUSib48Gc4Uh8fy8rLRD1m35B2Gh4dVKpUUDof1wQcfqFAo6Pnz56rX67p9+3af5g1FaEAq7M1E\nImHSDTBZhoeHTUKZw9fn81lBFbAlFcUTExMaGhrSwMCADg4ODF4C1pFkc0q1ayAQsCiCv3kL4FC1\n5DCBck3+gzUB/Pa2cWUN/WXDa1S9jA0gF1ePxuvdu3Q+4AaMKHg9iRUGGB6fS7JK6ocRXGpaKBQy\nfJaCFvdaWdgUEJFRB1t3sUX38CHBhJcBfZEkEtfpevYYfuRP3YPg8PDQutvgBVLwxfWwOYg8yuWy\nbQyMCYcY+CVz6xp697u7Rt+FzyTZIepSYoHQvJo3V30Af9BEBOgB7jp8eaRz8bAxdpKMPTU7O2us\nFkr5iR53dnaUSCSMY41XGQwG9ejRI3344YfmodIBiSK8jY0Nra6u6v79+/rJT36iw8NDhcNhbW1t\n9fVugPWCaimUUWAnJAk6nY61PQyFQkqn01bdCaW3Uqloa2tLExMTCofDVij06NEjra6umo58OBzW\ns2fPjJmD4iZr6+TkxBqoQ9H0+XoFXfv7+3a4sSf39vbMa8a5Qjbk5OTEXsN7ENlDbWSNHx8fq91u\na25uTsPDw5Y8bTQafbAvvP5CoaAbN27o6OjI8HfyIRQuShcCcul02oqjXCVM7Ay2413Hd8LQu4bU\nNdpeA85jvAaP3c2C47VLF3RKEi5AEzSCAIN0ISFuOB60z+ezZIuXTcINcSmfMAskmSdPaI1hwzOK\nRCKmDQJNDW8PAwsdU5I1N04kEna9GHx+x9DjDcPwIfHjevFuI5GzszNVKhWDi9hsY2Njdn0cFBwA\n5BFcSQYX2iGK4p5cxpRy581Lt3TXx1UdGGC3kTT3nSKlUCikJ0+e6Hvf+55Fji50wkELPg7GTCFa\nJBLR8vKyJfjC4XCfNwnrZWpqynIxFGe1222tra1pbGxMP/rRj1Sr1QymiMfjevr0qZaXl1UqlbS0\ntKSJiQlrA0jT7mg02uckIPVA9TXt9txoAOlitHV2dnaUz+e1urqqb775Rqurq7p27ZqKxaJu3Lhh\njbmz2aySyaQ2NjZMGA2sm7VNJ6x8Pq+RkRFrybe3t6eXL18afRTHCSbU4eFhXy0IBAUUNWHBjI2N\nKRKJiM5hzOXOzo7S6bSOjo704sULo8xSu8D1hcPhPqkEDmfqLciVDAwMWP4FSjPoAHvqXWWKvxOG\nnvFtG9r19jG4btEUmB1hs8vGcWmBrmHkPXgfvEmXZ+/CPC70w0HBYxjXbrdrrcgwft4DAe+Vghfp\nQtjKLfCKRCLGsoBJQ2gMb5ekM3PHYcJjeCFANzAu8BhcCGpiYsI8DBd/x9DjxfMaNj7RjBt1MZeu\ngXfvMfeIiMkbBXxXxvz8vHnEkuy+E8WB03/44Yd68OCBFfIgREaU5ib3s9msbXISqqOjo30dnICA\nNjc3dXR0pFKpZBCRS2rg8HHrJaBTSrIOTzg/fr9fh4eHGh4e1szMjOV+hoeHtb29bVIOeLNnZ2cG\n3dCwe3NzUyMjI4rFYubJjoyMKBqNqlKp6NatW5aP2tzcNF0XRMQGBnq9bWOxmNbX121fIFQIzLW4\nuKgnT570NS+5ceOGyXjgsbs1M25FK/ULtVrNEtBuHsxLAY1Go3Yoo3jpsoOwHVTVnp72+vHu7e0p\nkUioWCxqbm7O3tt1HN2cH3RY8ibvMr4Tht7ryTNcFgaTwuQDrbievqutQoKVCfMyY6SLA0CSGUKM\nEklX6YK66PK+JfXpbIPBujcM1g/G3eWU8/0qlYqpY6JYSSg5MDBgnGQMPddLtp8OWDBt+DsLGyoZ\nxTYsRKm3+fDwwFvdg5NDAyNGEpsDi8iAGgTuB9+fe+omrXlPrpFD59sSrleZbonXiREaGBhQtVrV\n2VlPoZDK1pOTE83Pz+v09FSJREL7+/uKx+MGT3CvEomEYrGYRZLT09MqFAoGyZD7AS+m+QgYM1TK\nUqkkn6+noDkxMdEXZY2Pj9s6cWGacrmskZER81rPz3u9GFZWVuy5RI3j4+NmYPP5vNrttvb393X9\n+nX5/X6DrPb29hQOh7WwsKBoNGpQ0ePHjzU4OKibN2/qm2++0fj4uPL5vAqFgkU9jUbDip+8BIlk\nMqlHjx7phz/8ocrlsiKRiBlwpBSQOAmHwyqXyyqVSvriiy/0k5/8xHj/U1NTRuIoFouWpMXxAcZ1\n82EofFKHgiTE3Nyc2QySyqlUyj4DR0uSRXIcLl9++aWuXbtmiW1Jdoi8y7iSevRvgmRczB2Pkt95\n3PV+8H4lWeGQdNEAG+8HLJQDgMnm1JXU12QBQ0boSck14Tav9bIeOP1Rnzs6OrLuQ2wcvGK+G9EC\nSbU//uM/to3OYmi321pfX7f5Ag/Gs3O7SEErGxoaMpErl4HEPHe7F12t+A6lUsn4vMyBi8Gjy+NW\nEXMQ4PmDrfI4B4g7P25kc3Z21ue1eNk3l7GwLhvd35Me/Y9//ONuKpWyw5N5oS2gJO3u7uqHP/yh\nGYtAIGBeGwl6jGer1TL9FTxOOlXduXNHkqwwC1wch6HVallPAb/fb+qjh4eHWlhYsIiXdeUyVMLh\nsKrVqnZ3d3X79m09fPjQoCckCnBsuIczMzOW2EdA7Nq1a3r06JEZLWCRlZUVpVIp08xH0561Ql0A\n3408g9Q7YPCk+f4cjtJFB7rz83MVi0Vj/RwcHBikUiqVjHRxfn6usbExffXVV/r444/tsY2NDVUq\nFYN30J+H8dNut1WtVlUulzU+Pm605Fwup7m5OUveSrKcARED801ylUMLGRHE41Ah7Xa7hu//+te/\n/u43B5fe7tFLF1Q+Lw7PRsF4YvxZ1Lwv4SphmdQPl5AQYfNhTEmIgHOzEV0lSj7fhW7YbOiLkyiF\nXueGhkAXkvSb3/zGZAqomk0mk7p586bhvZLM4LqGmQpKdO0bjUbfv2azqVqtpkKhoGKxaM0sKpWK\nFcvQBBzvHdaGWzvAPWNgqNyIx60ABV+9LM/iTThdxqK6yqNer+vg4ECNRsM6DA0ODmpqakrLy8sa\nHx/XD37wA8Otx8bGNDIyolKpZFAiXmq1WtXJyYlyuZzVS4TDYRWLRWskXa/XLZlHfqdUKunVq1dK\nJpMqFAp9je2pAqVbWLfbVT6ft9/ZP8B4nU5H5XJZoVDIsHCSmrVaTZIMXiG6SyaTajabFpkiG3Bw\ncKCDgwMTvjs6OtJPf/pTvffeewb7HB8fK5vN6r/8l/9ixACw8m63a71ZkfPY39+3AxP+eqVS0Vdf\nfWXfIZ/PWxRF3mt0dNTYL9BHqYFgT8/MzCidTltl+fb2tv0diYudnR2Nj49bEj4ej+vevXtmxPP5\nvCWffT6fJW9deA8np9FoGPxDZEykxHNwkt42rqyhdz0196c3GcvfvI+5CUwMChOJ8XRxMC+EIMlu\ngFuZh9HFcIJJg9Gz6Fyogee4Bw3PwdhTnOEaRdf4udcKLskhAkMBT5/vw/NdOImDi+vkelyohflp\nt9umb8/1g7tHIhGj2FHd671/XqPO92C4UZv3d6Ip955814w8I5fL6ejoSLVaTU+fPu0LyQnvSYy6\ndQoYf7pBudElFZnVatUqTanKprk1VFkgwUAgYNLI8NuB9zC6jUbD4CbgRtgoAwMDWlxc1PDwsCU5\nWZc4KyQQMWTAIzB2CoWCRX9ICJAXQtmxWCwao2x8fFzDw8P6t//23yqbzWpiYkIDAwOm8c86o4fu\n4OCgarWaaf/U63U9efJES0tLFsECQabT6b58GmJyUg/eSSQSJkvCczgUT05OdOPGDSMp7O/vq9ls\nam1tTcFgT9oZr//Zs2e219DRZ/+gaCnJRNaazaYqlYo5dO12W5VKxbSBkKPggHqXcWUx+rdt6ssM\nOwbUfRwj5eLTPO4moNhcLBw8frfAyaVtuqXRrjHi7xwIQDmuwSOMhBqH4aXK9DImCkm3YLAnhJXP\n5/WP//E/trzB4OCg7t69q5OTEz1+/Ni8KbD44eFhK50mUcc8eWmR3oOM7+MeusAuRCZsTCSUecyF\nYThsBgYG+qiSksyzdw9jZBbeNq4C/PimMTY2pvHxcStyIjp88eKF5ufnrQw+GAxaSM562tvbMy12\n5g9ddorcOp2ORZBw7CnGYS/E43FLpFcqFdNXcfMGQB002KYQy+/3mwwvn7+xsWHa9OwpeOsY6tXV\nVbVaLatGRW8mFotZ0RfKnmjlEBEDSwwMDOiv/uqvdOfOHa2vr+vmzZsG2wDvdDodYxnR1Qq5X7+/\nV3Hqzuns7KxpzzMfHB5AlOw7EsZbW1uanJy0il3Wfrfb7dMaYv1ySMC35x4jAOfqZhE17+7uamFh\nwQw9uRZJFpkkk0mNjY0Z/BMIBN45GfudwOi91Eov+8Q11q4XLF3g9O5P8G9CPDYPiRMeh9XgZazA\nupFknr6bRIRKxsEgXejLsCgIu/C2/H6/JXpcJgscam48ISGH0R/90R9ZH0rpIlqhiTEMnFgsppGR\nEV27ds2SY1TV8j3Pz89NuMy9PjYAhtmVVtjf3+/LnWCQvN9B6q9kdXn4DHDeVqv1O92r3OEma93/\ne3/3vOb3Eg78o3/0j7q0leRQxHHI5/NaWFiw6M6NmMrlsqrVqhlkqjapy3AplOfn50ZnhGffarUM\nf+beolTabrf193//9/rkk08s51QqlbS1taX33nuvr/cxuSnyQCRrR0ZG9OrVK6XTaZMqyOVyVsVK\nIR4OEt59sVi0ytBarWYwydTUlHK5nBVfSTJNGnTeuQ46NlFvQuOOfD6vSCSiTCZjhyMSHgjL8d7l\nctnqVOjJANON1xEloAf/7NkzTU1NWfEXtQzj4+OWk+Nzz8/PTboZHR7afaZSKdsjyEdziOJcNptN\nJZNJu3/7+/s6Pz83rR3YWJ1O5516xl5Z6MY7vMm2y5JweJAYOw4LDLv7fPd1x8fHVrhUr9etPLpe\nrxv3FyyaZKKLf/PeGHYOExfjdCmaDA4moCGq9/Du+Ol+DzwGPKmHDx8ql8v9DiVrcHDQGiSPj49b\nhR0NhfHkTk8vNO5d48rhA9UTTB7ZBsJ6pGKr1ap5Z3iYvJdrbFxjL/VDUmCWeHVvWgeX/byqg8Sp\nawDq9bo6nU5fMhzK7enpqer1uhUWwYyhz6vbTBqokEQglZ9HR0cmYQFjRJKxf0KhkG7duqV2u23d\nowYGBkwh0q1SJXcTDPYkfFmzx8fHWlhY6GPXwPDBowX6C4VCttamp6dNlAyjvre3ZxXeuVxO9Xpd\nf/M3f2PwD8V75DiOj4+N3XP//n3brySdX758qXA4rOnpaW1tbdn3pibExcchM+CMoGIpyeaS+Usm\nkxoeHjYbwPzVajX5/Rd9BJjjhYUFRSIR1Wo1o7bu7u5qd3dX5XLZkskHBwcql8t6/PixOZk0Byeh\nTiQhySIC16F927jyHr0Xc3Y9fC8Dx01mAje4iQ7Xm+d5GGeXqeOyH4A43MIEvGme73qYruGX+pta\nu8VDvA/fJRQKWUNnDKubiHRxdkJPFq3f32s79vHHH9v3w4shxCTxV61W1Wq1FIlEzHOHYQMe6Mog\nY5SJZNznYhQIgd1rdQ9a6UJ10U2YY/jx7mld6MX1vWv0TUybb1vLvy+P/sc//nEXaIDoDHaH1BPM\nQkoYJdBSqWTcarSIvvzyS3300UfmbZIMJS9z//59ffzxxwa3sQeQs5VkjDKXVXZ8fKydnR0rphof\nH7em4m5vhXa7rYmJCf3yl7/UH/7hHxqEsrW1pdnZWUsI4xiB36O5nkwmtb+/b2Jt+/v7ev/99w2H\nd5uF0EGKaM/thkUhVCQSMYNN9IyDUa1WVa/XLaeQy+UM2z44OFA6nVa9XjcKcrPZ1ObmpiKRiBYX\nFy0yjUQixsaBvYTzJfUKFPP5vPz+Xucs8HKfryeDfHR0ZNLMGxsbRsckyiGpKsmKCxmtVstEBSlA\noz8vCXtQgP/1v/7XW9f2lcXovQlW12hgmF2D71LRpH6lS9cQoy4p9SdsXe691I8ZwzHnmlzMnyQZ\nxhCsDwy+3W5L+l1v36V6EsqzcPmOeA94cDwfxg2HT6fT6yb013/91xocHNSnn36q5eVlnZ6eqlgs\nqlqt6tatW6pUKopGo9Yi7cWLFxamNxoNO4i4Fvc7u9dBj1jmOBgMamJiQqVSyR7Hm8TwMKCV8T0R\nTnOTwF6D7b33b1ovV3HgXUNfhd2CETg/P9fe3p6mp6cl9Q7CSCRizBtkNJAwIAlLU2uglevXrxvs\niILk4eGhGe+DgwNNT0/b3oFWOTw8rFQqZc4G9RokICVZVe3Y2Jh+8IMf6OTkxMgD5BlSqZQSiYSO\nj4+1t7dnDsb09LT8fr/JBRQKBeueRTMRPGQKk05OThSLxewQoMUlDbZxZOr1ulGlpV7BEpj19evX\nTUVzdHRUw8PD2t/fVzgctgpW9jfVuaOjo5qcnNTh4aH1e4ZB8+zZM6thIKKgOxSaPdgBSQZrZbNZ\nDQ4OamVlxfSjoLhKPT792dmZNWrBjiHDQBRCPiSbzaper1vnMO7D28aVhG683qB3eA+XFNCIAAAg\nAElEQVQADJCLEUsXsACGHQPtGhXexz0gGC4+7dIjYcrAN5ZkxouIAEPpXief40YnLu/f+/2punUp\niHh+RBVuFEOi77e//a1h56Ojo7p+/bqWl5fNMwoGe3K2U1NThtfjKaLr47J2mBevp+3mS4ia0Dqn\nAhTo5/Dw0OhihPT1et2St99m5L3/vm1NXLXR6XSsEpLWcGjUgLlL0ubmpnK5nJrNpjkRqVTKNFgg\nDoDV5/N5VSoVMwTUKDDfkkzillJ+2CyQBKBnwnrB4eD3er1u3vnGxoY6nY4xfIg63QQkfVMxaNJF\n0x7mgs5p8MIHBweN8ZNIJDQ9PW17imgC+AInDWE2YCl3rYbDYUtSUotALshl9+DUseaoxIU8gawB\nz11aWtL+/r729vYsOdpsNu1xEs9EzDRBAcYJBAKKRqMaHh7Wb37zG+PO812q1apVS7daLR0cHBhW\nn81m7T6ipkkNgqsu+23jSkI3Un+h1GUUQ4zfZQlZ7+8uTu4adZdaxWKEBiVd9Ip1bzjPZVNIMqOO\n/Kv3b1J/hyW3iQAl1y5FsdFo2OHiRhx8Z65DkjEQ2HxSz0uemJjQD3/4Q2N6vHr1SqlUSnNzc32R\nit/vVy6XMyVD+PMYTiAct6DLNfg8r9PpqFgsamtrq+8QdQ3P+Ph4n5Y681IsFs1IeQ9ghhcecx+7\nysnYjz/+uItXeHR0ZLQ7kupQIovFYl8ZPzTFo6MjbW9vK5FIqFwumyRBq9XS3//93ysajWp1ddXW\nLWtxc3PTPGPWWLfbtYI5Scb4GB4etnwBjbiJQA8PD62gCe87n8/bAd1sNrWwsGBJRKiDYOn5fF7z\n8/Oampqy5twk/VOplOnpk2M4ODhQt9uTXKApDm0XpR5VNZVK9alqBoNB8+TBr4lQJycnVSqVjDgw\nMzNjbBhsA9j+yMiIwuGwXTtFhlIvecvBVCqV7MDrdDra2tpSMplUrVZTPp/X3NycMpmMUWM5PDlM\nCoWCDg8PTbK42WzageZWL7NvgDXj8bglaWE4+f3+dyqYurLQjTswKF7s14uHY9AxBBhD1/CDNRNK\n87iXfkl0ALTC5gCTdg8XCi8wkGwqDhLgCrwpNpHb3UqSMSDwXNyowBsx+Hw9db1ms2meP+83NTWl\n//Sf/pO+/vprvXjxwuYgm82qWq3qD//wDxWLxbSzs2PNFtArSSQS2tzc7EtEu/IFzA0em8uqSCQS\n2tnZ6Uu4+nw+o7h5DTL/j8fj9l7lcvmtbBv3Hrlrw33sqgy83oODA0uip9Np+f09zRiMIZEUeuh4\nzD6fz6iR0Wi07yD44IMP9OTJE+3t7WlpacnuC9IIgUBAGxsbBhe4+RjEzyRZaz4E/QqFghU84SjQ\neu/w8FATExMGNaGhQ0EiCWXqA1ZXVy16Gx8f/x0BPxwVWC8TExM6Pz+3KmBYMNls1ozzixcvtLa2\nZl7w8fGxlpaWVCwW7RoKhYLRQl2ZBKqRu92uNjY2LFKYmZmxYkL2Fc8FJsXpmZiYULPZtP15cnKi\nRqNh6p0cRtwncjIkdff29nTt2jWrsqUuwmUHdrtdsxvn5+ean5+X39+rmyC3Fg6H9dVXX73TOryS\n0M2bhjc890II3iSuy3q57D3A2KX+Qh4G3Fd4xkywy+JxjR/XxGb0YvkuN55IwoVz8LC9UYf7PP7x\nnnwWiT4q/g4PD5XNZs0DxktoNBrK5XKqVCpKJpOGH9dqNWUyGZVKJUWjUcNk3e92GXTjVulB+wLK\nicVimpqa6qtAdiEgdzA3FJLwnd1/7py9bW1clQGWPD09bXz6o6Mjk4sAQ5dkxnx9fV2PHz9WJpOx\nSlrWIJGh1PP05ufnFYvF1Gw2LXGHCuLAwICJa7VaLZO3jkQiqlarFlHevHlT0kWT+5GRESUSCaXT\nacs5wUqDGSb1H7RACYi0UdmLhDB5G5p1T05OGvee9YOs8fn5uTFTfD6fFXSdnp5qdnZW09PTqlQq\nOjk5MUYZZADUPYG7xsbGTHIkHo9b7oEIvNVqWWUr67lUKimTyRh0xWFNgpWuVW4TI74fnejYCzh7\nBwcHdgjC0MGb55Ak2kdOhU5crrbVxMSEisWi7SEO3LeNK+/Rfxsui1GU+rtI8RNj6fLe3+QVYkSQ\nQgByqNVqfUbH/WypZ6A42fG2+Ts4OoaYBc/n8n+f76Lh+GXJX64bvj/fa3x83Ao26M/p8/m0tram\nUqkkv9+vUqmkkZERK+hgg52dnenVq1c6OTkxD7NWq6nRaPQ1pMAIUcjBNVKQhffONSWTSWsPR3k8\nXpz3PgIFcSDz3iSteX8X6pH6mTtXzYP3DrBo4Diw+k6nY14gcFar1dLGxoYdjhgrIs6JiQnDnalE\nxWNFufLk5MSko928E+J4Dx8+NE6/u0cikYi63a4lGs/Pe5r3GC6aa4N5Y6CATk5PT/X06VMNDg6a\n4ipJzlwup9HRUe3u7iqVSml3d7dPhG10dFTr6+vGJoJVNj09rd/85jc6Pz/XrVu39Otf/1r/5J/8\nE8sJcFA1m03bTzT0np+fV6fT0d7enh1Yr1+/traIcNK5H+DzpVLJpL4lmeMzMjJirJpKpaL5+Xll\ns1nNzs727fVQKKTp6em+/hO1Ws0S7ENDQ/r+979vh48LoXKoSbLcCJDR/Px8X2EWTcLftTL2ynv0\nb0rOuX93DY6L37oGwq1KdcMjMFIeOz09NZoW7+NNDrveKDAMxgcjKvUzatwEp0sH5T3YQFwHz0d/\nh0UEvvuDH/xA/+bf/Butra1paGhI/+pf/SvNz8/rX//rf61bt24pm80qnU6bRydd5AkCgYB++9vf\nmhHf3d3VycmJJicnzegTgVBOzsbGGxkdHTUJBLwZQl/wUryXy/Isl9U2uIbfHS7DyvsYa+KqDjjz\nqJ2CQxeLRdMhBwqEew3rCWgF9gweL05BOBw2aMVlbL148UKHh4fGqkK5cWhoyIpw4GU3m03lcjlr\nzn14eGgFf0AlsVhMxWJRmUxGzWZTDx480Pb2tt3DcrmsbDarO3fuGHwRCASMwriwsKCzszPdu3dP\n6XTa1FyfPn1qsNbo6KiePn1q9Rrdbk8M7ZNPPtHt27dVr9f14x//WJubm2q32/ryyy+NLRYMBrW7\nu2t8dpLc7HXgVhKfrGFwebdPbjKZ1JMnT2x/kk/b3t42aNOtdD06OlIul7ND0C22hHEXiUT6uluN\njIxocnJSs7OzVjeB/DcOFf0orl27Zg3M2a/tdltjY2PK5/PffUP/Lpir+7hbJOXi51J/EhdD4iY2\nwcNclgzGnM3j6sBgBL0sHvcx6FMYVgziZUwf9zpdqqeX4eOKob18+VILCwt6+vSpfvSjH1mRC9gk\ndLtMJtPHp8/n83r+/LkSiYTu379vYkyHh4emTjk1NWULyD2QMOh0msK7QJDNvRd8Rxf24Sdhp9dT\nZx7cOfJCY9+1gaIhv4dCIcXjcSsCcqMdKl7pFgaDBI42DgMVokBdsG+Oj4+Vy+V09+5dDQz0WuU9\nf/7cYJ1cLqeBgQGj3MLggbkDUySTydjfiB4SiYRGR0dNlnhiYsIcESCHer2uWq1m9M5sNmseN9Xb\ngUDApDhisZgKhYKy2axVAE9MTKhSqajb7epXv/pVXyV5t9u1gy2VShlDhRoUiu2AbtDily5666ZS\nqT61S5fWCYRDT4BAIGANUng9rDHySX6/X6lUSplMxkT+XEiVg9zn8xmrBseOugYX2uW7YouAmLAt\nHB6S9OGHHxq3/m3jyhp66XeNPJ6f959rMFxM1y2icgeGxoUKpIt+ja7H7qVrYrBZJC71kgWPkXdx\n/U6nY145Bwx4IZ/pVtBKvSTQJ598ort372pubs4YPyyQf//v/70GBgb0F3/xF4bt/eIXv9AvfvEL\nffbZZ3r48KFp1XD9aGPv7e2p2Wwqk8loZmbGKGOZTMa8HrwJN0ktyaIWFiZzAEvIO89scK7BvR/u\nPQSmcJPn7vPce8x7XfUxPDysZDKpTCZjxpkBpi7JEvgYeX5CiSRZidww66/T6Zj3enBwYGyOSCSi\nSCSilZUVq2Q+P++J0a2urhozZnZ21mSGMao4KxzsdBRrt9uKxWJW7QmNdnBw0Kpd5+fnLWk8Oztr\nyU6iZQrCAoGA9vf35ff3qrXPzs508+ZNqzYtl8tKp9PWHHt8fNwSyT6fz7xgCvxWV1f185//3OYg\nFArp5s2bxjiC7/7w4UOrhgVyovkO6xQK59HRkdbX1w33R58nGAya7k2321U0GrUIKRDoSYO/fPnS\n1jIsplAoZBXOksy7Pzs7U6lUMoes2Wxqf3/f9juJcoTgarWa9vf31el0rHH428aVpVdKl+vcuI95\nE5eXwQIuTx0cT7qodHW9c5dq6b43v7sRAOEnbBc2B/xbCoZ4XzwxFpIkuxaeT7RBYqjb7eq///f/\nrv/wH/6DVfNlMhnVajX9u3/37zQ2Nqa//uu/1vr6uv7gD/7AKGePHj3S/Py8Wq2W0um0Hj58aA0v\nbty4IakX3q+srJgSINWZr169Mu1voBdCW8rlvdQvIiAomBhuV6rZ9eTdKMiFa1y83qVaenn2Ljzn\nQneX0S0Zvy965c9+9rMunGtyMZTvc9jjPfI4FEFkfcHKcRZYUzQOR9cceeBoNKqBgQErMuJ50CUT\niYQl59F7gd0yOjqqYrFoBTyLi4tWL4IHOzIyYveAKANVyoWFhT6Y4vDw0KpupQs9/nq9rkQiYbg6\nVcFcj9/vt1aEzWZT0WjUKoanp6d1eHio6elp7ezsGIYNTAYO32637XvhlExOTpqhLZfLOj4+1srK\nivx+v10jcBA6OiRHT05O9PDhQ33/+99Xt9tVsViU1GONcVCQizs5ObEcwMnJiVWyEuG76IAL18Tj\ncbXbbZVKJWsJKsmuAUgsGAzq6dOneu+99/RXf/VX//do3Vw23nQASL8LmTAwAky6CzPw0636lC5g\nB17DzXNfRxLXFe3C+LiHDYk4933JE+Cl+f1+/emf/qn+83/+z/r5z3+utbU1KxOfmJjQn/zJn+iL\nL75QNptVKpXS6uqq8vm8crmcQTFguiRbqSLc3NxUPp/X5OSkNjY2JPUSrQcHB8YO4QAiQVgsFlWv\n1xWLxaxFIYbZZdK494T54n3eFYK5LGK77L5/2/+v0sCAw0zJ5/MGo7nrFx0ZiqsODw+tgTZdvugU\nhgY7rfgwaru7u5JkcIGbQKeWAkMKa4W8FVowaNbgaZKYpUGOe7BihLrdnsQGvHfWDxWdJOaRJXj1\n6pV9by/vXrrofoZzNTw8LJ+vp/SYTqftcPH7/TYfhUJBpVLJWvNRrd3t9vjzJI2RS6jX60qn09YO\nkbxFIBCwKItoYGhoSM+fPzdNIBwxYEyqZCkMPD8/1+bmps2NJKNXs8clWYU0wmk+n8/uGfUoHFC8\n3k3iIjPxLuNKe/TShSCZa9C9j1/2u+uJsyhJklz2GWxIFjdJUUIu72lMcQgYmyQ7ycHYeC04Jxxf\nIgeiCffwwIv+r//1v+p//I//oefPn2ttbU2vX79Wu93WRx99pHg8rmKxqM3NTW1vb2tqasrwxZGR\nEc3Ozmp9fd3CvUAgYOXud+/eVavV0oMHDzQzM2PyCCy6QCCgRCKhw8ND5fN5Kzzh2sgfYADAh6V+\nFg38Yul38XkMDM93D8fLvHg3t+H17L2PS1fLo//n//yfd/P5vF69emVa5KwxJHLD4bAl1qrVqvHS\nMbZAbkdHR5YgrVar1o2ICInGFG40iUeMIUKmYnx8XMlkUpIMDnGZYH6/XxsbGwoGe+JqyWTSeOrs\nDUmmODk5OalyuWw6OnNzcyqXy5ZbkKTnz5/r9u3b5v1KPfgKz3lkZETVatUK+uCK/+Y3v9H3v/99\no6bCs3/+/Lk1+naj8E6nY5FMNBrV1taW7dVoNKp2u21r3F3PrVZLAwMDtp6Bq8g9uAq3NCJKpVI6\nODhQOBw2RwwHq9PpWDGYz+ezTlF0pUOVEykMPoPoD5sDfIbD0G63TYk0nU7r5z//+Xffo/dWYEq/\nK3Qm9RfguIwaPHOXSYIhcp8vyeAI10PlGlxxL4w83aHgsNP8mIXNAcAmdTFo15AB58A26HQ6+pf/\n8l9qc3NT5XJZuVxOz58/VzKZVCKR0F/+5V/q7OxMBwcH+slPfqLvfe97dnhA5aMP6NbWltLptIXr\nDx8+VK1W08TEhHGSkZ+VegnDV69eKZfLKZFIKBqNGgMIqOXw8FCFQkHlctm8L9hBXvaTO4cuhu+9\nh2/ixzO8EM1VcFDeZYBrX7t2zeitzNHBwYFFTYlEwiiUtL2s1Wqq1Wra3Nw0T455lnoQw7Nnz6zj\nUyQSMQgRLz6bzWpnZ8c462DLCGyxDxqNhnn0VFwuLS3ZOoLTThFRNBrVycmJ5ubmrHMV+8Tn82lz\nc9Ow/Wq1qkwmo7W1NdvPlO4DMQ0MDGh/f19SLxJE2fHw8FCffPKJ/H6/njx5YhWru7u7Bj3CWHn9\n+rUODg4UCATMyBcKBWv9RxHixMSE6ev7fD67BvY2FdyoTs7OzurevXuKx+MaHx83zahEImHJX+oG\nUOoslUp2/1y4s9FomFAadur+/fvm1eP1h8Nhi7Jdlp4LU0PRfZdx5Q29dJHU8xoCd9O7J6D7Ogy8\nm1D0Fut4PUEXZvA+l7+RWMXbInnjPST4PBf2ca8bjRgXHgoEArpx44Y2NzcNF08kEnr9+rU1EEYc\nqlwu61e/+pVBTpTZowRJ6M51kYyFuYEXBAsDQ3F6empdepA1ducFY4V+PIqWg4ODfTLKLjzmJprd\nn15v/P+tIb/KRp+1x/y7DKYbN25YW0GqODmMXWZGOp22BHipVFI+n1coFLIG1hMTE336MxACMBpr\na2vW9IJDHufj7KzXpFy6oAoPDQ0Z1dJ1THZ3d81DR+GyUChYA/qvv/7aooZIJKLnz5+rUChoc3NT\nCwsLtn52dnbk8/lMYCwcDlu0gicOnBQMBk0p8/r169ra2jIJ4lKpJEkGiS0uLlpNAnIDRB8kbYGH\naEfIWiZiBY4BMiGRS+7E5/NZS8CdnR2LzDn4OMCy2aympqZM4I18CXOMgzQ1NaV0Om0FVMPDw4pE\nIhocHNTy8rK1Z+R7EIEMDQ0ZFfad1uH/d0v6/9/hNZ5vMhhugs+lOEFXco2KGy24htYdcGldbz8Y\nDJrBPT09tSYQLDxJFn4izLS0tKSPPvpIt27d0s2bN/XRRx/pj//4j03zBG8tkUjoP/7H/6g///M/\n17/4F/9CP/3pT5XNZhUKhfTpp5/qf/7P/6nDw0NlMhl9/PHHkmRUSDwoqI+hUEgffPCBwuGwFhcX\ndXp6asUfgUBA29vbFk7WajWtr6/3Jfuq1ar29vaUz+dNAMutG8ALxxCAL7JBpP4EuHuvXM/ePcBd\naqw3inOfe5n3fxWx+mq1alWZIyMjfbBFqVQyfB0oYH193YzV8fGx9TBFCdHn60kiIAlA0+5sNttX\nZMe/mZkZixqQGECn5uHDhzo6OtLo6KhisZikC00X2B7g4D6fTzdu3NDu7q6CwaAdDjMzM2q325qa\nmtKf/dmfWdIXiO6bb76xRHGr1dLOzo7RKIE0+f44Ajg7SDFEIhGrJfjoo4/04MEDO/igrr5+/VqB\nQMBokKy1YDBo+QiYKkQMOCmsxUKhYFDrwMCAksmk8vm8yuWy/W1gYEC5XE4HBweqVCra29tTq9Wy\nRDZFX9PT06rX67p7964VkIXDYfPoIXbwOSSlXaeQymeYOmdnZ1bvQOMgbwvPN40rj9E7z5HP57MK\nV5em5+LxLqXSpfVh8N2kKMbfrWh1K0/xtvHaeZ9IJGLcVzA9tNtv3rypeDyuhw8fSpJRoDY3N9Vq\ntTQzM2Mh9fn5ue7evWv62f/gH/wD89r+6T/9p/rtb3+rra0t+Xw+pdNpvX792rBFZF7fe+89PXv2\nzJqnkGiampqyg07q8YgPDg60t7dn2G8sFrNFNDc3J7/fr/X1dSWTSXW73T6NcDeB6Pf7rTMOhxnG\nG2xSUh/TwoWqXGaOC8e48Ni3sW4uw+i9EYF3/L4w+tXV1e6tW7eMxYKxxjj4/X6jQ9brdW1ubqrT\n6Whubs4qT/G+d3d3tby8bNEYTI79/X11u11LLBJdQkms1Wp6+fKl7t69azzsvb09Lf4f7fVKpaJ4\nPG5eP4VZsGmSyaQVXQUCATUaDctjSbIK3VqtpsHBQWtGQ8tK/rFPhoaGtLu7a9RA8j2w1/h8vGqa\n0QNxwivvdDomV3D9+nXLeVBQdHZ2ppcvX5ruDxWqp6en9jMUCqnRaJioXCAQUCqVMgePZiDkIbrd\nrr744guTjeD7u3AZAnatVsuqlJGQGBgYsMiZhuNEFkTa4+Pj5ih2u129evXKYGEUZoH28vm8stns\ndx+jd4eL1buQjdQvWczvXg/SZYNg5F0P3mURSBfNMqSLiMI9BNhoKO3du3fP2oy5dMpYLGYUspOT\nEx0cHPRR5MBOpR4mub29rUwmY4uNcJZekVC/JJkELZgoXh5YPewCjOjIyIgpBZIsGh8f1/b2tlHD\noKnhWZLU4zA5OzuzJLTXI/cylbyPu/eSny7c5RrqbzHab1oiV25g9MBpXe0joAUUQ8PhsGZnZxWP\nxzU2NmZODYctbBBgGTxRBLRIApLQh50xNDSk+fl5M0KhUEizs7PGZgmFQtYrFlpgJBKx6lifz9fH\n8yZpKfWqquGPo5HPOkJqwdWCabVa2tvbUyQS0ebmpgKBgEXCqDyilxQM9voj48AdHR2ZnAdrMxAI\naGFhwfYba9KtLA6Hw3r+/Ln8fr/RmNfX1/sUY2kDiJIseDsNxIF6ut2u8eL5Py1AkX5mr3G/YVQx\nH9x/tPbx1nEA3Hvo8/k0NjZmRWKwb6hyRjLhbeM7Y+jZ3Nwo73DDVRcX9nKz3cPBVY8EE3SbB/C5\nRAbQ20h8AenMzc3p5s2bthhev35tC5zNwwEBjQpufbVaVSQS0c2bNy0ptry8bNLBn376qaLRqJaW\nllSv102QrFwua2RkROvr6yoWi1pbW9PS0pK63a4mJyc1PT1t3PmnT58qm81auzWgpv39fZ2eniqX\ny+nk5ETZbNZC30wmY4vdq0lTKpWMscCG4564ZeAcot7cifee8ruXUfMu6+Ftj/2+Bx4mcBfMGrou\nBYNBU0sslUoKhUIaGxuzhKjP57NEIhgxxluSta7DCJI4haNPUZ/f79ezZ8/Mc242m8rn8woEeo1O\nJiYmTOkUiuDh4aEZJ+ki39DtdnVwcCBJWllZsSiClpZ8BrmCQqFgmlHNZlOLi4s6Pj7W9evXDcpC\n9Iu8D1o7qVRKtVrNmDPM08bGht1vEp7dbo/bfn5+brUgN27c0MDAgL7//e9b9ywcK/JQJycnmpmZ\n0eTkpGZmZmwvoNEzNTUlv/9C/XViYkK1Wk3BYFDr6+tWHezCcHSEooDK1R4aGhpSqVQyqQYgKGzQ\n3t6eFXUdHR2Z5g2HJ5BaMNhTB32X8Z0x9Ayvtwdm7j7Gc1y8XupXmOR0d19PqTJwBBsKL4hwNRAI\naHd3V6VSyXpmshEfPXpkVEZErMjen52dKZVK6YMPPrBDIZFIqFAo6KuvvtKvf/1rvXjxwihh6+vr\n1pzj0aNHhnsPDQ1pZGTEwvtut2sYH80fKHwaHR1VNpu1KAKsFi/k4OBAU1NT5hE2Gg2Fw2Gl02nz\n8rrdrm1cqGxHR0eq1WqqVCqWHJJk3olbkes9OBlvYlIxXMqlewh8lwZUQMrnmbtms6nR0VElk0lN\nTU0pEokokUgoEomYyiKheigU0uTkpObn5y1SQykRFgyVs/DKMfDValXValW1Ws3UGskZuAnasbEx\nra6uGgZP1WytVrMOT4ODg8pkMopEIpZMJHm5v7+vO3fuqFwuWx4ol8uZqN79+/dNmwcZ4+PjYyMU\n4JmCj8NsAypdXFzU//7f/1tbW1sGoyDA5uq8U9XKeqFgyu/3m5GXZJE0ejUcZuQNgFykXus+HEC+\nTyDQa0Z+69Yt7e7uWhtQot7R0VElEgnl83mL4r/88kvl83n5fD7Nzs5a5Ty1BCTYBwYGVC6XVa/X\n7TtEIhEVCgUVCgWLoFzBwLeN75ShfxseS1LVi996oRy3MAmc3dWyYcCDZ2KlXhTw2WefGYYIvEMi\nqdVqWRsyMOxsNqu7d+/q448/tojgzp07unfvnoaGhswQ+Hy9ApIvvvhCW1tbarVa2traMq8JiAhW\nAd/B5/Mpm82aIcnlclbNCF0M40vyi80As4j5qdfrqtfrOj4+Nk62O4/SBQ2VMJIErFsgRTLJvQ/u\neFPi1Hs/38S0+q6MdrttxhRcnkSm63jwf5wOpCfo9+pGlJFIRBsbG9bLFKEz7geRXKVSsQTeyMiI\nNjc31e12tbOzI+kCtqSwKRgMWpRRKBSMpru3t2cQRCQS0RdffGGJf5rtYMBdGI4GOOfn57p27Zr1\nQe12u4rFYrYmp6am+iBCIEYS2UCYFI4RaR4eHhpbhXoSZAkajYYCgYAlYplD5hGZCfIfGH23cttV\nsYVtxKHCIUedAXON8T09PVWhUFA8Htf5eU9O+L333lMmk7HoOBaLGUJBwhxYDMomBV6hUMgYSlA1\n0aZ/l/GdScb+n+dJ6mdmSOrztPk7uB6vI3QG9+Tv/N+VJeAfynZQwR49emSn7B/90R+pXC4rHA5r\nYWHBRKj+4i/+QuVyWdevX7ekClgsnhLRAWwZJH8xjPDRCduhb1WrVZ2dnen999/Xzs5O3wY9OjrS\nysqK9vf3TZdjfHxcv/jFL/T+++9rd3fX9OXZYNVq1Zg0Pp/PWB5gi9FoVLVazaAnrpEDpNvt9skh\nuEaZz8Dgs5hddUpvstWbgH1T0tZ9vXS5A+Adv69k7M9+9rNutVq1BDdSEfQDhh1GNymiSUL/hYUF\n44rHYjGrfD4+PjZp4ZGREWUyGcXjcWWzWcPjYZYkEgnLB3G/Wq2WUqmU9vf3tWhhgCMAACAASURB\nVLCwwBwZZLiwsKCXL1/qww8/VDAYtAKtbrdrkIPPd9EHAVgJKAQKJ+sJqCKZTGpra0u3b9/W6emp\nJWV3dna0srKiRqNhuSaKBI+Pj7WwsGDfGWmDZDJpvRfg1q+urpqX/Ld/+7f68Y9/bEVo5LZKpZJS\nqZRev35tHHsOGKSTSd6enp5an1jW/+bmphYXF00R0+/3m2QwsOz5+bmKxaLtORLEHBzRaFRHR0d6\n/PixPvnkEzuUfL5e4eRXX32lu3fv2nceHR3V+fm5dnZ2DNpLpVJqNBr6u7/7u/87Okx5h7uhSayS\nuXerZF3vHMOO5yDJcHIgGwbZfxI84XBYn332mW3Mbrerp0+fam1tzZKTvEetVrNwEllRsEdyAn6/\nX3NzcwbxwL2NxWLa2Njo49WPj49rYWFBhULBYJ4vv/zShKjchhTAL8wFBw7a1nyeJNPpQCALCKpU\nKhkrYH9/X4lEQiMjI9buj/l1k4FuMZVLY3UT3a637zXm3kSsa8y9tEqvx38VHJVvG7lczroWdbtd\nq00A00ahUlIfjReZA2odXPlsPFowXJJ3x8fH1l8V5UnmDdYL0cXi4qJCoZA1rQayw8MulUq6d++e\nQTFAPul0WrVazRKH5+fnJksQCPT6onJfyS1Ae5R6DhWQ4+npqe7du2fzs7+/bzrvMHUCgYBFBRh0\n5gZINJlMqtlsam5uTl9//bVu3LihSqViuu8nJycGT0k9bRq/v6fhREEhMBCG+PHjx7pz546azabd\nF+SGr1+/bnAK8BORFY6NG51RAId3/+rVq778iytNwSG6sLBgiVgOk2AwqJmZGUk9u0De4F3Gdwq6\n8Q7XOJOx9w6MipsQxLCQWGLSMVwup/7o6Ej379//HTbI4eGhJV7wCDgIaNMGhYrNk0qldPv2bU1P\nT6vT6ejx48fa3t62go5Wq2XMmqGhIa2urppXgezrysqK7ty5o5OTE6VSqT7OPFKruVxOmUxG+Xze\nQkmoj1C4CIcxvBQ8kUilAhF9EwZz5J1rd575P5/LQcC8uni8t7LZPQjcxy+759+FwaYlEd5qtfT6\n9WurgiWSqlardughHVytVnV8fGy4tbdA5uzszPB6ui75fD6751RVSr37heRuKpWyHgeHh4eKx+Nm\n5IrFop49e2YRBk4IBIROp6NoNGqfS3QBlMFBRLNwaix4/ejoqElnQ/OlGxnvF4/HVSgUzImrVqt9\nPHU0fYLBoPL5vM7OzvT111/r6OhI169fl3RB2eSzm82mVRVzQCFbkMvlDKOn2judTqvdbhvrSOo5\nR9lsVicnJ30sJGRCiFAonEQXh0pY9gMO0+joqCnE0tKTaNytNqfoEcfOJZq4haDfNr6zht7ryUFn\nco21Wzjhvsb11t2qUShi0KSePXumJ0+e9FW8wqtH+/vo6MiaD2NEb926pePjY2WzWVUqFeMNf/nl\nl/rVr36lUCikL774wrzmvb09lctl1Wo1FQoFffDBB0okEnr58qU++ugjVatV5fN5raysaGdnR3/3\nd3+narWqFy9emFwrOL3raQHtNBoNK5UGawXq6nQ6xrKgIpANCrsC75/DwoW53FoGb26Ez3O59ZfB\nMN5CKDz1N/37Lo2TkxO9fPnS4LF0Oq14PK7j42MzzND6KpWKHj58qGKxaMl2Vwwrk8lYARHeHPf4\n/LzXF7ZcLvc5NnDhaT8XiUQkyeSuaWdXr9cVjUZ18+ZNc0Qo8MEIcehDPvD7e01JuC+BQECff/65\n0R8rlYry+bxxvmEH3bhxo081kzwPjBfyUcCn09PT5jzt7OzYYVgoFLS/v68XL17o/ffft+9Fw3OS\n069evTL9Gpwc8PZ79+5pYWFB2WzWcgiSTC/f5/OZJMLY2JhBlhzSnU7HHD72RblcNmkK9gfNYgKB\ngFZWViTJon+/vyc3gUhdJpOxlow4YEBY/A5NN5VKvdM6/M5CNxhm78DYY8hdr9H7HtAfpQsKYLFY\ntMUHVdCbLHMrY+fm5iwkPzs70w9/+EPzxFzxJ7L80kV/VDcCgEc9PDysBw8e6Pbt24pEInrw4IFx\neePxuB49emQl1YSc09PTlqAjdwFNzZV/KBaL8vl8tqnx4F1GCHPlJnkQZXKhMjfbj9fG57o4PIeJ\nWwzl3kP3eS5t1oVlvDDct2HxV22Q9CuVStb+LxwOG5ccfDsUCqlWq2l1ddUKcHw+Xx+8t7q6qmKx\nqG+++Ub37t3TysqKms2mtSsMh8Oam5vT559/rmQyKZ+v17Cdzl/hcNjaRZ6enhqcMjIyopWVFWUy\nGS0tLWl8fFybm5tKJpOanZ1VqVTS5OSkJf/C4bCmpqbMMSCBCMmAPQNLCF0f3n9/f9/ojaenp/9P\ne1/a3NaZXH2wEPsOYiNBcRdN2ZLlGU+VM5NKpbJ8yQ9O5kuSqlRmXBXZ0pQiWuJOAiD2fQex3PcD\n5jQf3AFI2p68EunbVSguAC4u7tJP9+nTp1EoFIQ+bLPZ5B4eDAa4vLzE8+fPJchiEffk5ATJZBLh\ncBi1Wg3lchkrKyuiY395eSk1pu3tbfEJVqtVnD6j+Eqlgv39fZhMJuRyOSSTSVgsFrl/RqORwC/x\neBy///3v8fXXX8vchmAwKMHe9va20EiZ4ZjNZrnH1cyVirD0K06nU4ayjMdjfPvtt4hGoyLLTLye\nMBaJHPexB+fob7u5+RwdKIuexOfVYi5PBsWE6HT0r1ONEazT6ZShBoz26aR48asMHsI7jLwGg4EU\npdxut6SWdPqEYPb390XWljg9P5OFMEYt6qg//lThKi4s3B/gxgkDEGYCv7cKtXB7eugFWNwYtYhp\nw+3qG994/OZF7Yz61e/yEJw8AOnNsFqtEm2Px2PpnqQEhqZNG3HoPJj6h8NhUVUl8+Obb74RSiu3\n73Q6JVoNBAIIBoOo1+uymNNRhEIhyWjZeEW2F8kDAKSmwyIii668Tkg+4P5yNgMZKQwwRqPpuMLl\n5WU0m02Mx2PRoX/37p0MQSGU0+l0hAkXCASE/kjsn8XatbU1Kb6yQEtdJrJTSqUSNjY2UCwWpTDt\ncrmE2ECMPBqNolarzdRKuP9spCKs0uv1sL29LeeCi6zVapUaAANEstEIubBYOx6PhaJJUTRm2Izi\nS6WSdOiGw2E0Gg0MBgPkcjkZ5alCvXfZg3L0ehhGxaj0ER8dIXDjxOhkGeWrUSpTZEaeKlWTN8uL\nFy9kZSd8Q3YJAJEJJl4H3MgokPlCQapwOIxkMolWq4V8Pg+n04l0Oi0XBUf+ff7554JDUub2yy+/\nhMViwcHBAUwmEw4ODiQFpPrh8fGxLFoqXMJ6Qj6fF/okcVa1mM3Fize4SpmkqZG7CovxhiHrBph1\nzvd17g/Fmd9m7NNoNBoIBAJCcSWzqlwuo1arSUGRr+E16vV6US6XBd4hVEKcV9WIYQDA6Hs4HOLw\n8BDPnj1DMBgU3JujBdX6Ehld/FzCJGwMZLQJQOQYuFDU63WREigWi6L/RGaO2u0JTB1pu93G/v4+\nRqORNGY5nU6Uy2WhGW5tbcHlcomQm8/nE/jI5XIhFosJ1djlcuHg4ACRSET6CPx+P96/f4/RaIT1\n9XXk83lsbGzIIsqMvt1uC8OOcg50xqPRSDKQdrst91ir1UI8HhfVy2AwKEEfa1/RaFQGo6gqt8AN\nOkA2D532ZDLtgI5EIojH4+j1enKNcMHN5/OYTKbSKvOaR+fZg3L0emPUTMfEi1TvUBg9qgeZJ5lp\nFS9aVSpYdU52ux2FQkGiDG5bbbwCIGpzTqdTCidWqxWHh4cwmUx4+fIl/vCHP8h32NjYkEYmfh5v\njslkIhft2dnZzGDpWCwmmQsAaa4plUriCIjj8Tl+Jw5JVhcqpqrsrqTj4PdkUZDFPpVGRoc/r+kJ\nuGlc0587Zhn68/UQI/dF1mq14HQ6EY1GxTETHgyFQtL8RryWWDadETnqZrNZJHfpGAi1lctliab7\n/b7MXXU4HEgkEjPyF4eHh9LtyvPK4iOVFqlayYEgZOwweqXDpVNcWVlBv9+H3+9HNBqVa244HAoD\nLZ1OizMluYCQTiwWk0CLw8XNZjMODw+l7d9ut6NWqyEajeLDhw8Yj8cIh8OoVCool8uIx+PY2tqS\nRYv30+7ursgvkwNP9huzb2B6rZVKJdGxoi6N3+8XETOyhTqdjjBwzGazsGg6nY5kGbyPlpeX4ff7\nUSgUYLfbZZ4Ar2u3241qtSq9NISAKpUKdnd3hQnFY7C5uTnT93N2dnav6/DBFmNp89gaqrOYV8RT\nI3rSrOjsVR493w9MHWmhUJBmFxY7W62WSJDSsbIRA5jCPYyMya7QywMAENybWQpvwGKxiFKpJM7Z\n4XBgaWlJIB015aMzVQvSKvedWQ5fqzpfHkN1HCBvPnUxJYuGRVb1OKu0UPVY01Q4iO/RQzi3nbdF\n5/+2vz+2cawegwKyKTgmjo1yHLzBNn8AAofwuqLyJKUFxuOxCIABN9CixWLB6uqqROA8V6Qhx+Nx\nWXBsNpsU7AOBgFzLvPZ4b9C5EL5xuVxC7+Q+jUYjwf15PbfbbekTsNlsyGazEhwBENhGT41mBsvG\nJx47Ok8uGOFwGE6nUyQUmG1HIhF4vV7pjGVtajK5GXyjqrGqcAqzY2rUcLwfM2KeB9JMt7a2MB5P\nxdY4O5dFdj7YxGYymaTvh69jr456/66vr4sfYmBKnJ/ZEVVt72MPLqJX6Xs0OiZ9JMiDxxVUdQKE\nI1gMU28oRvtqtKppmtCqgsGgtHDTuak0J2YOKh7N6Ea9yMfjseieUJHQZDIJBW1paQnfffcdgOlN\nv729jeXlZZycnIjT9Xq9EoGpXGC1gKkOQmFaSrxTxekBiPwpvxcppipGz+OhyhyoC64eYuM54XmY\n95p5D9UWYf76939qRrYK+dYcfEGnRJVF7r/NZhP6pdoly8WCNz4xWxZrif8Gg0F4vV5UKhV4vV5p\npWfDUCgUkvcsLS2hXC4jEonITFhCjeVyGYlEAqenp3C73SJHTGdLthdZaq1WS+YmMBgAbnpI2BPg\n8/nQ6/VkoWKNggPDmS0S7qC0c7/fF/gkEAiIbAIbsXZ2dma46blcDisrK7IPb9++xTfffIN6vT5z\njzCAYnGTWa3FYsHFxQXW1taEd88FqVKpSO2AGTwAkfwmOyqRSEidgk2PZOjQF6isOH5OJBJBq9US\naLXdbmNtbQ3ANHAgFMYmvPvYg4roudqrKnX65/RRoZ7xoUb/xDZVITN1kVC3zYgimUzKBaE6dC4o\nvDkZ0XD1HY+no8JSqRR++9vfYn9/H1tbW3LyVY0YRhmMkriNTqeDo6MjccKklDLiob622hhGbZR2\nuy0zYmk8Jmo9gm3cKvxDJ69KGqiRvZol8DlmPKoT0ztjfYSvt7sc+Kfo2PXG6Ntut8v8UXZ2kqlS\nLpdRr9dxeXmJ4+NjGXRdLpelqYoMEZ5zTdPg9/sF9uD2XC7XjHbM1taWzINlox6nJDE6Hg6HSKVS\ncu1SyIuCfaFQCNlsVkTAgJvpaSwKk+OuadPW/jdv3swEGnxO0zQR0RuPx0LdjMfjAG4CMDJWSGv0\neDyo1WoCG8XjcVxfXyMSiWBrawuFQgHdblcy7o2NDVlMXS4XNjc3pb8EgETH3W4Xfr8f3377rVzH\nrFep08AoBOhwOKR24HA4RALZ7/ejXC7j4OBAMnZKoRAadTgccDqdkq0Ph0PkcjlBAHK5HM7Pz/HD\nDz8IbGa1WrG8vIxKpSKwDunOamf/XfagHD1N5V3P+58+uldfw+dV5ofanWm1Wv8i4mQ67HA4BGPj\nxUgnS+fME0hHyO2oUXEul4PT6UQkEhG2DfeDzpGLh5qZ8AJUIRJ2TuqjeO4L973b7Upnoerc+Rlq\ndM590BdbedHzM1S4TF0A9KaH1dTjqz+Pd0XmD83p87yRo93v9/Hhw4cZjnW/30coFBIto06nI472\ns88+k2NGWV3KIKiD4El75IIP3AzN4dxSNvewxhQKhdDr9eByuWCz2XB1dSVwjqo9z1mohG4oMRAI\nBOSaJBzBffnyyy8lgyMjiDx0tZMUgIz1y+fzAqEWCgXU63WRbSCEwqCMmQcAgVQYNZMu7HQ6ZUFx\nu90IBoPw+/3o9/si90GI5cWLF7IfZN1wUhrvmfPzc1nASNWkEX5LJpNwu93S1KVG/Hydeo+vrq6i\n0WjId9/e3sZnn30mtOd2uy30TmZogUAADodDYOD72IPTulF58XpnrH8t/69pN8PBmRqy6s7tUZuD\nkTMLjXSgnBpD3FN1VIx2VSenYn9qlE+NC4qiEQfXtKmgmMViwcrKilDjVCydBTTSubi/LpdLbkym\n/0w1NU0TFkMmk0EgEJAbRtWo4YXLBUmlWKoOnlGWiv9zkVApnKrpo30eO/0ioa+x6DMz9bjfBfXo\nTftIWjf/9E//pDGqZzbKiV1Op1MK8aVSCfv7+6JDQ+0apvJUNuTYRjbXUMKCEAfpuYR7AoGA6L2b\nzWaBA8bjsUT61KRptVpyvSQSCWnGIkOEnG/WjLiAtNtt5HI5PHv2TM4FBcJqtZrUJ9iV6vf7cXFx\ngZ2dHWSzWdGPevnypfSfUPKBcCSvR2rMM9N89eoVAODXv/61LDp+vx+NRkMkfslq4zaazabozpC+\n2ul0UCwWJXrnveN2u+V6V4eGk7zAngceX8IwKysrIjs8Gk3HNQ4GA5k7cXx8LI1YqVQKjUYDz58/\nF1kFFrNZm6GmVS6Xk/kDwNQn/P73v38cg0fU4qk+AqSpjpd8YvWhOnw6RBqdFlXi6JCYWqtsHUbr\nesdCmIVQBVvH6TSZRrKYQqaOSj0j04K6MioWzs5VHgvCPQAEauG+sdmJCxkdAovC3J4K/wA3WL4K\nI+kzDJVlxIeaFfDY6d+rnsu7nPq8h3re5+H7n6oRImRGxahRhcW8Xq84Wkaw0WhUNMjVYMBms2F5\neVlGV5LSy0Hj7Kfo9XoyrSoajUrzEDnmhCJMJpPI7Pr9fjnOhUJBotpoNAqfzyey1AAkujeZpnos\nW1tbqNVqQtmkBK/JZBLMudFo4D//8z9hsViwtraG4+NjafZjtkMRNNaTCEdxtCEwdZLUet/b28P6\n+rqwULggUtq52+2KvhO7bgmf1Ot1nJ2dSSAVjUZFDiKTycgx5SIF3HSAcwwkcNN4xSL7+vo6RqPp\npDgW28l3Pzk5kXGRw+EQPp8P4XAYe3t74hvcbrcsiKTVEr5TZ93yufvYJ+/ob3Pui/5P4+JAR8/H\nPNoebz6majyJrJqrCwQjVNVR8oIgw4U1BDpGpl+q01L3gemiOuhDhWNUx0/noTpswjtq8ZjbJ3zA\nBYiRiXqcuI/q8VAjev2xovOeVxzn34ui7nkQ233sx8I8n4IxU2IDH+eMNhoNacIBIMU94CYbjMfj\nGI1GMiBeVVplcJDP51EoFAQK4bXe7Xaxt7cnRANg2hlNZUuTySQdsrzuVHE/NhnxGmYmUq/XcX19\njf/+7/9Gs9kUp05aI0Xc6IDo0DweD4bDIZ49eyYa+nyvuo+j0XR6WaPREKkIipIBUygkmUxKt6/X\n65VrkBlDs9mcCYp4zNLpNK6urgTqIWuFdE4ukDabTY4Tx2myG15l67G4rEqGkPnE3gmydZhBEYJa\nXl4W3+L1enF5eSl1FGDakKbXNarX6yLopja83cc+eUcP/OUNrf6+iLs9L0pk8YInS408e72enBTS\nLAlt8EbgDUvnyuiZn0PtaJ5sOmhW9ClDywImnT6jbDJ+fD7fXzha7quKw7NQy9eonX2k6AFTHJ/U\nMnbXsaGGzp1Zhr4+wN+50KifzdeqDVWqER7SL4zzHL5qt0Xvi66JT9W63S6KxaKwXILBIDY2NqQw\nx9mvfr9fIBTCcNSGIR7N4h11YLxeL/b29sRx09kTwuFxpKP67LPPpEjIhYZdlm63W+idXq8Xn3/+\nOTqdDs7OzmSodjKZhN/vF00cAILnn5ycIBgMwuPxiBwIi50s2EajUayvr6NSqaBWqyEQCKBcLgsc\nwwyFVGTq4XPSU61Wg91uF4661+vF1dWVTI4Cpgwl4vVkrrGblFPgKFW8u7uL8/NzEf8zmUwiDdLv\n96VTmb4BwIw0gtPpRCqVEhnoarUqUTeVN9XB4uzDATDD6/f7/Xj58iWGwyGOjo6QSqVmFixm/vQ/\nzMxKpZIMR7/LHoSjV+22tH6R41Dfq2YIKvTQ6XRQr9elmaXf70sxi5GzqhfOwli/3xcOPXF/UqpI\nf+PfapGTzpP64MTGr6+vxUmrDha4ca58jnAPox6+ltvrdDqic61f9CqVCtLpNDKZjHyeisvrs4N5\nzlr9qdY09MdcXTzUn6rTV8+nmg3Mo2/OW1Q+VSOmyuuHxcxWqyVMlmazKefr+PhYNHCur6+lIEk4\n78mTJ7i+vhZWBnBzbEqlElKplGijkNXS6XRweXkp+L3NZkOpVJLJYpTQUOs+FBnb3NwUGjGdE7MB\nUip9Ph92d3dlgWEfCDVwSqWS8N4Jv6iSw6lUCna7Hfl8Xro/nU6nzDfe3t6WJqt6vS5zkLkwsMmM\n2Q2bA8fjMUqlEr744gv0ej3U63VZPJ88eSIyA2Sz9Ho9/OlPf5LsazSaKmlSmI10TDa6UbeISpak\nmbKZzefzSWQ+mUx1ckgbpaAcRcwocEeCBnWvWq0WTk9PRf1zNJpKYSQSCQkO7mMPytEviu7ues8i\nLFg1FhpZ7GJUwQiaf6sRLhkEatu/SuWkEyeTh5+rRsx8D39nBKc+p+6vKiamOj4W2FRHyUVFLVTr\nF0MWzMh3Vh216sj1dQn1//xbpWnedg5uOzfq+VH3VT2u887fp2qUAiY3nMV5j8cjQ5+ZFZFjz1F0\nlLIFbvjTdBIARMaAGSChm0KhgHA4LB22hCa4WFPXhdezCl2w8MoiaKfTgc/nk2lH7JRVm/gACMWQ\nVEJmCpPJBEdHR7JY8D5R+zLYS8DOUwBSu2JWzIya34mfyWCJCxU7yq1Wq5AnOp3ODMSztrYmxISL\niwskEgkUi0WYTCacnp7i6uoKw+FQMPJEIoF8Pi8LMq97fhbrIoTWeFzpGzhzIBgMYm1tDZVKRTIE\ns9ks5/rJkyew2+1IJpNYWlqSrI8za9lUNhqNRC5FH1gtsk/e0S9yGnrTU/j00aEapeqpftyu6jAZ\n5XNmZrfbRblcloKJpmlSZAVmKZpsciAGy4IM91PlwavR7vX1tcAs6n6qjlsdMsL3EyPl4qJ2415f\nX8v4Nr2TZ/1iNBqJuiBpeOpNpmYR/N+8487X6GmZhMlUOEo97ur5ZB1FrYeo9Qn9NXFXneZjGweO\nUMJaZayQzcFZA+zE5DhHQorshqZmOyFIRu3v3r2T1xAa4uDvq6srmEwmKVAS0iFH/Pr6Gh6PB2dn\nZwIDWK1WBAIB5PN5UWb0+/0y60DTNOzt7eHVq1fS+j8eTwX5ms2mYM9khBGvHgwGKJVKUoAlQaBW\nq+H8/Fwog4VCAR6PR7rCKfLH6U/Eytm1S7XH4XCI1dXVmRGE4/FYityknqbTaSn+MquhvtQ//uM/\nygJaKBSQy+Xw5s0bBINBXF9fS3c84SG1V4bnimM+CV9ZLBY5txaLBclkUu5bQk7sjLZYLDPsHjbX\nmUwmocG+f/8ey8vL0jtxH3sw9MpFvHl9as+DqdIrVVxbNf5vnrNQ4SA+iL+rOheq0THxd0ZeFsvN\nJHieeJXuySiJ2yNNkVGMiofzNfy/+r3ILmDar2lTmpvVOh0Fl06nZ4qojKr0DWN8D48bi0/6zEBd\nKPla/SKqh2LmQTvqNaivCagLlPoe9ed9TPtI9Mq/+Zu/0ShTbDJNZwZ89dVXEjWzechqtcLlcsnC\ncHR0JGJdpP8y6IhGo2g2m1heXkYqlcJgMMDa2pp0x/b7fXEaXq8XpVJJYJFIJCLzCAgDTCYTESnb\n2tpCr9dDqVSakSAg7XAymUhnKK+B8/NzWK1W7O3tAbhppuICx6Ir582+fPlSsP1AIIBisSgyC1SV\nBSCLF7MAldtPKQkuDJubm3A6nTg+PsbKyopM4PJ4PGi326hUKohEIkJrrVar6PV6qFarSCQSCAQC\nMuOVwmwejwelUkkgFrPZLBkMISYq0ubzeezv7wtt2mQyiWKo2ufCOkq320W9XofP55PP8Pv9aLVa\nAqUxCDg7O0MikZDu5na7LQtZpVLBhw8fHge9cp7pnTzttpv/NibJPFhB/xwdECMYNdJWC5vq+1Q4\nQ7+wMDpXna7KntFHsnw/o2pif3SO5BHzdSrGTghAPX7zvisLP8xiiLU2m03U6/W/aADh+1Vnrm7z\nNshMdeQqRKZmBIuc/EMx9kawKLi1tSU0xX6/L/ACIzqXyyUYcCQSEZ682TwdNML5pXa7XWahrq2t\nSdRH2ELlo5Nnz3NLJ03RNFWWgdt59eqVROQsgLJAzGyLgUQ0GhV1Rl4LhD8JOfBa2tvbE148B4BT\nephj9Dgmr1KpSMRLqmWpVJJuck3TRIP//PwcJtN0sAvvDRZ7qUI5Ho9RKBSELUSKJhcmt9s901+i\nMpLYgU72EIMup9OJyWQiMsyE4QAIy4aF+EqlIsEZsyvCeIziWfPj8aZfYZEeuGmE477dxx6co59H\nt1yE/dLUKFIPKcyL9hdROulgiVUOBgO5EOmgeYHzf3yf6qQJEelhH16MTOvYwacvyvJGIv6uwjr8\nfE3TJDoiPsrpQvz++sVEXZC4PbXISyMzQl1I9LCMHhZTz4P+/BC2IrY5L4rX20Nx+MTWW60WdnZ2\nBDt3OBwApseE05boQJjes/GJEMKXX34p53NpaUmmm5Gil0qlpAuVpjY9MVvQNE0gD84DZiTpdruh\naRr++Z//GdfX1zg9PRUZYkbTHNPHIn84HBa9pv/5n/8RmiCZNaxv8bWlUkloo2SisFP4/PxcFgc6\nbbKD0uk0AoGAyBprmobj42PJREqlkjjMV69eodlsiirk9va2HItqtYpCb1l2/wAAIABJREFUoYB4\nPI5YLIZ0Oo12uy3X/XA4xNu3b9FqtWC323FwcABg1meUSiWp53HQu6ZN5QlIH2Vthsq1Pp8P1WpV\nZKepacWFl42QhHDL5TLK5bJkVoVCQbIE0kvJ4rnLHoSjn0ehVB0T/1af40PPNb+Nkz/vMW8/JpOJ\nODvicIRg1Nepzo5OmwsEizoqU4YRLbFTTdNmtkvHrNee4SKjasvzu3P/yCBQsxM6a/1xVGsa3L6q\nLDiZTES5UK03qA5eXy9R/+Zn87ixaK2P/lVb9P9P3RjJU3aAx4GFNg4JKZfLcpMTZlhdXRXohk59\nbW0NLpdL9OM1TZObfXl5WaabnZ6e4vj4GMPhEMFgUCiALpdLsjQurhcXF7LwXF1dIRwOyyDrnZ0d\nAJConDh3Pp8XKLPX6yEUCiGXy2FtbU2KuxaLBfV6XeavshAdi8VwdHSEWCwmA07UBSyVSonSo8fj\nETYaew6azSYGg4FE0OzOdTqd8Pv9ODs7E74+i9x02k6nU6ievFf29vZEZ2gymQh9lF3w6+vrUlg1\nm6fjP71er9yfzJ6Y7fCeJxOIneiE56h3xAyE54700clkIv0IoVBIWECUQGC2opI87rIH4ehpixzA\nfV4/D16g3aegpzohTdOkM1V/oFV5BtVZqlg4cXwVc1eph9w/teNUnxEQx+f/aHoevOrwVbxdn/Lp\n4RU9rKI/hnTW/E63QTX6/81bCNRzcV+67EOwfD6PUCg00/HJLIwZ2Wg0kgIeJRB4zjweDyKRCJaX\nl4V3D0C6SUk9JJSztLQkC4HH45GMkwwy4sQApHOT21XplRxyQmye9EaPxyP89tFoJPIK6XRarquT\nkxMA0/PMiWjPnj2byTqpXhkKhXB9fQ2v1ytjF9mJy0CCDp/aNe12WzRf0uk0hsOp5HKpVMJ4PMbG\nxob0o1CtlQNcOGeWsAqhGMIjXDDC4TAuLy9RKBSEvskO2Y2NDWQyGcHrSbgAILU33m+c6MXsneee\nwRoXME6gYtBDqJVTsxgoMNpn1zKzh7vsQRRjb4vC5/1P/T//Vh3KbdH6ouf177fZbBKVqY6ZRRue\nUDpWnnhVCIlNUnw9b252Rqr7pRZqGTXw5uP+8aYmC0H9DmzGSqVSUlhe5KjVz9VH8qrz1Res9TRT\nvbPn//UQkf4c6Avs+mv0p1yz2kcqxv7Lv/yLVqvVpMuS9EleC4FAQIqd1WoV9XodW1tb4jQ1TUO7\n3ZbvzGIeNeCbzabUTTY2NmS+LEXGyKqyWCw4Pj6G2TwV/opEIqjVaoKXt9ttGUj/9OlTwdCpN9Pr\n9eB0OoWH3mw2UalUsLm5idPTU6yvr+Pt27dYW1sTB89C72QyEXpjLpeTjl/SHom9F4tFBINBdLtd\n0fep1+uiP6/WcQhdtlotRCIRlEolqX188803sFgs+N///V9sb2/DZrPh6OgIOzs7uLy8FM0ejies\n1WoCeXU6HfmeZN1NJhMplDJDo7AY76FisYhkMimwFQcDcV+ZsRGTz+VyiEQiACBdslarFdlsFiaT\nSbj4FIBj8xkLz5SV3tjYwL/927893mIs8Jfsi3n0QT3Eo75X/z79c/PomHo4gk6fuCKpViosQifP\nnzxpjJz4IHzBlJxQDXDDp1f3ScV1CemocJXazcroiBEMbxT1+3MR4QWp19VXj496zJhBqFG+vimK\n32fRMVfPm97uk3F9qqZpmrCh2B3JQizPe6lUEix2f38f5XJZnDi504Tj+F5eO9SRWV9fF0eqnkM2\nNfV6PXHwAHB2djZT8OMM0ng8jvPzc1SrVVxfX8sCnsvlJNsYDqeDxYl/m0wmXF9f4+XLl1LUJZ1w\nOJwOyGC0HQgEZBucBMVrNx6Po1AoiAOnJPBwOMTV1RWOj4/hdrvluDAzAKY6NaFQCBsbG+j1euh0\nOvjiiy9weXmJbDaLra0tnJ6eIhgM4vXr16LZz3uY9wijawASkbO2wfO3uroqQ8rJHkomk1LkNZvN\n+O6779BoNCQQY/PU2toagsGgaOqQMql24judTgkIyuWyyEQw66MAGyGh+9iDcvSLortFTmMebKA+\nz5/6QuI8xzYPYlC7XTXthk6pOmM6VTpspmaEbVRaIm8MdZsAZhy3umDQqRPPV50+gJkFjhG/GnGr\n8A6jcUbw87B1dUFYdGzn/a2HpBady/s899Ds/PxcFnDyvFdXV+HxeIQvXy6XpYt6OJxOTeJ7SqUS\n/vjHP84ECbVaTUS1qtUqnj17BofDgaurK2GOUOnSZJoOKalWq9JpSZmAw8ND0ZmhkyJHvVQqzdRR\nuBAsLS0hk8nAarXiyZMnIq18eXk5U4Blkbfb7SKZTEoRlNdONpvF2toacrmcBBxLS0vY3t5GJBKB\nz+dDsVhENpuF2+1GOBzGxsYG/uM//gPxeFxojIQz2C3LpiuLxYLXr1/LtpglmM1mfPXVV0KlZMGb\niwujaS5+p6enmEwmODg4wNLSEpLJpPQF1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MzJWw6HA+FwGLlcTqSLSfHkgsiu\nXgDY3t6WYSjANFsjt9/n88l5Y2HZ5XJJPaRcLqNWq0mTmd1uRyQSEfaVx+NBpVLBeDzG0dERhsMh\nPnz4IPr0nOz1oCJ6wwwzzDDD/u/MiOgNM8wwwx65GY7eMMMMM+yRm+HoDTPMMMMeuRmO3jDDDDPs\nkZvh6A0zzDDDHrkZjt4wwwwz7JGb4egNM8wwwx65GY7eMMMMM+yRm+HoDTPMMMMeuRmO3jDDDDPs\nkZvh6A0zzDDDHrkZjt4wwwwz7JGb4egNM8wwwx65GY7eMMMMM+yRm+HoDTPMMMMeuRmO3jDDDDPs\nkZvh6A0zzDDDHrkZjt4wwwwz7JGb4egNM8wwwx65GY7eMMMMM+yRm+HoDTPMMMMeuRmO3jDDDDPs\nkZvh6A0zzDDDHrn9PwOZhSxYOjcDAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/introduction_3_image/exo1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 2:** Perform low pass filtering by removing the high frequencies of the\n", "spectrum. What do you oberve ?" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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