{ "cells": [ {"cell_type":"markdown","source":"
This notebook discusses how we can deal with functions $f:R^n \\rightarrow R$, that is which take values in $R^n$ and give back a real number. An example would be $f(x,y) = x^2 + y^3$. For the most part we specialize to $n=2$.
","metadata":{}}, {"cell_type":"markdown","source":"For this task, we use the Plots
package for graphing. Additionally, we need the LinearAlgebra
package for some vector operations:
For functions from $R^2$ to $R$, we can visualize them in various ways. We discuss surface plots and contour plots
","metadata":{}}, {"cell_type":"markdown","source":"A plot of the set of points $(x ,y, f(x,y))$ is known as a surface plot. These may be graphed with the Plots
package.
For a numeric function, we need to create values for $x$, $y$ and then compute a grid of numbers for $f(x,y)$. For example,
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":"Plot(...)","image/png":"iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAYAAAByNR6YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvqOYd8AAAIABJREFUeJzsvXlwJNl93/l5WReqCjcaQAPdQOOavo/p6bl6ZrppSbvLjVjb2thRSOsVV5yw1zpMri07wg7JkilSlEnbu7rWq91lSKREmivKK9KSJVq2DkrikHOQw+mevrtRhfs+CkfdR+Z7+0chC1moqm4ADTQKjfeJqACQLyvzVXVX1jd/v9/7/oRSSqHRaDQajUaj2TGMvZ6ARqPRaDQazdOGFlgajUaj0Wg0O4wWWBqNRqPRaDQ7jBZYGo1Go9FoNI+gp6eHkydP8uyzz/Lss8/y7//9vwcgFArxyiuvcPz4cV588UXu3r0LgNBF7hqNRqPRaDQPp6enh69//eucPXu2aPv3f//382M/9mO88cYbfPWrX+WXf/mXeeedd3QES6PRaDQajWY7zM/Pc+3aNT7ykY8A8PrrrzMyMsLo6CjuPZ6bRqPRaDQazbZIp9Nks9ltP18phRCiaJvP58Pn85Xd/0d/9EeRUvLSSy/x2c9+lomJCTo7O3G783JKCEF3dzfj4+M6gqXRaDQajWb/kU6n6e09TENDw7YfR48eLdn22c9+tuz53nzzTW7cuMG1a9doaWnhox/9KECJQLMrr3QNlkaj0Wg0mn1HNBqloaGB0Ylfp77ev43np+jp+kdMTExQX19f2P6wCJbNzMwMx48fZ2hoiGeeeYZIJILb7UYpRUdHB++++65OEWo0Go1Go9m/1NV6qav1bvl5SloA1NfXFwmsciQSCXK5HI2NjQB85Stf4eLFi7S1tXHx4kW+/OUv88Ybb/C1r32Nnp4eenp6tMDSaDQajUazf1HKQilrW8/bLHNzc7z++utYloVSir6+Pr70pS8B8LnPfY433niDz3zmM9TX1/PFL34RQAssjUaj0Wg0mofR19fH9evXy46dOHGCd955p2S7FlgajUaj0Wj2LUqZKGVu63m7iRZYGo1Go9Fo9i3VKrC0TYNGo9FoNBrNDqMjWBqNRqPRaPYtUlpIufVolJRbL4zfClpgaTQajUaj2bfoFKFGo9FoNBrNAUFHsDQajUaj0exbqjWCpQWWRqPRaDSafUu1CiydItRoNBqNRqPZYXQES6PRaDQazb5FSRO1jVWE23nOVtACS6PRaDQazf5FWrAdsbTLNg06RajRaDQajUazw+gIlkaj0Wg0mv2LyoHaRrxI5XZ+Lg60wNJoNBqNRrN/kSZI1/aet4voFKFGo9FoNBrNDqMjWBpNFaKUQkqJEKLw0Gg0Gk0Z1DYjWNpoVKM5OCilsCwL0zRJp9MopTAMA7fbjcvlwjAMDMPA5XJp0aXRaDQAytqeWFK62bNG89RjC6tMJoNhGCilABBCoJQim82SzWZ58OABZ86cweVyFT1s4WUYhhZeGo1GUwVogaXR7CF2KtA0Tebm5giFQrz66qsAJelBKSXLy8uFv03TJJdbXwVjiyuXy4Xb7S4RXVp4aTSapxJpgtxGSbk2GtVonj6cwkpKCVCIXAkhME2TxcVF/H4/wWCwKDJli6iNx7MfuVyObDZb2FcIUUgz2ulFHe3SaDRPC0KaiG0ILKEFlkbz9LBRWNk1VrYIklIyMjLC8PAwbrebbDaLlJJgMEggEABgaWmJhoYGvF5vkejaKJbsNKN9znQ6XbSPU2w5U4062qXRaDSPjxZYGs0TwI4umaaJZVkFYWUY+bsuKSXz8/OkUilmZmY4f/48dXV1AKTTaRKJBNFoFIChoSFSqRQej4fa2lpqa2sJBoOFn3Z0yym+gML2jdEuJ7a40kX1Go1m36DMbRqN6giWRrNv2Yywmp6eJhwOI4TA4/Fw+fJlgEKaL+D3EAi00tLSwtjYGJcuXcLlcpFIJIjH48TjcWZnZ4nH45imSSAQKBJdtbW11NTUbDraZRfV2+lK+zm6qF6j0VQlugZLozlY2KnAcsJKKcXMzAzhcBiA48eP4/f7+eCDDworB9f5Y1B/E/vjqpTC5XJRX19PfX19YS9bGNmiKx6PMz8/TzKZxDCMkmhXbW0tbnf+mBujXc5jOkWiLqrXaDSazaEFlkazw5QTVrbgUEoxPz9PKBTCNE0GBgbo7OzEMAxWV1c3CCuAFWAI+DZCfB9AmX3yCCHw+Xz4fD5aWlqK5pNMJguia3FxkdHRUbLZLDU1NSXCKxAIPDTaZc9BF9VrNJqqQEqQ2/C0WltgtFtogaXR7BBOYQXFNgtKKRYWFgiFQqTTafr7++nq6ipEtOz9S8XT4NrPawjOAJUFViWc0SsndrTLTjVGIhESiQRAUZTL/t3r9RbNVRfVazSaakBIa5urCLXRqEZT1UgpC+7rdt2SUzQsLS0RCoWIx+P09vZy7NixEpsFyIsWWXJHZQssBfwZQhzZssCqhNfrpbm5mebm5sI2pRTJZLIgupaXl5mYmCCdTuP1essW1dsiURfVazQazTpaYGk028RZvG73DXSmwVZXVwmFQiwvL9Pb28tzzz2Hx+OpeLzSCFYUwazj71mOHvHumMCqNIdgMEgwGKStra2w3TTNoqL66elp4vE4UsqyRfU+n29bRfXO/XVRvUaj2RTK2uYqQh3B0miqikcJq1gsRigUIhKJ0N3dzfnz54vSa5XYKLAEoZJ9enunyOYSQHDHXs9mcLvdNDQ00NDQUNimlCpYSDhXMyaTSdxud0FsOcVXJQsJ5zHLFdWPjY3R1tZWOMZG4aXTjBrNwUWnCDWafY6zEXM5YZVIJAiHw8zNzXH06FGuXr2Kz+fb9PFLI1iDJfu43RbwLeD1x3sxO4AQAr/fj9/v59ChQ4XtlmUVRFcikWBubo54PE4ul8Pv95cIL7/f/8ii+sXFRRobG3VRvUaj2TdogaXRPIJHCatUKsXQ0BDT09N0dnZy5coV/H7/ls/jtHBQKgZMld3P7R4GNQSif9uvaTd5lIWELb4WFhZIJBIYhlG2qH5jOtUWT85j2j91Ub1Gc4CR1jZ9sHQES6PZE5zCyv4ydwqrdDrN8PAwk5OTtLe38+qrrxIMbj91Zx9XKYW0SqNXReTeBs8REDXbPt+TZDMWEolEgkgkwtjYGJlMBp/PVxBdpmmSSqWQUuqieo1GU4zapsDSNVgazZOlnLByRj2y2SwjIyOMj49z6NAhLl++XGhr8zg4BZaK/SUEakHEy8xPIJLXER4XKvg/PfZ595JKFhK5XK4o2mWaJqFQiMHBwaJol/3YioWELqrXaDRPAi2wNJo1NjZihuIv61wux+joKKOjozQ1NfHiiy8WFX0/LgWBZS4hsndQxikok2m0zAa88j4q81fgfQk81ZkqfBw8Hg9NTU00NTUBsLy8XHC7twvqV1dXmZqaKunLaD8CgcC2i+qh2KleF9VrNNWLUBKxjWiUUNpoVKPZVR4lrEzTZHx8nJGREWpra7l06VKRd9ROURBYmfcQKIz0XaT3NXAtFO9oF3ijIPlFVP0nQDz9H2UhBIFAgEAgUNFCIpFIMDMzU9KX0Vnf9ai+jKCd6jWafYW0QG7js6drsDSa3cEprCzLKjEIlVIyPj7O8PAwfr+fCxcu0NLSsmtfooXjZt9b3xi/A/VHQWTX5gzu3PD6c6xpSP0nVOAHd2VO1USl972ShUQmkylEu+zVjBv7MjqFl92X0T7X4zrVO2u7tPDSaA4eWmBpDhwbI1bOfoGQF1ZTU1MMDQ3hdrs5c+YMbW1tu/4lKYTA50mAuS6gDLmMzD0D3rzASiZqqFOrxU9M/wl4L4H76K7Oby/ZqrmqEIKamhpqamqKLCSklEXRroWFBUZGRkr6MtqPjRYSzp+6qF6jqQ7yPlhb/zxpHyyNZodw1trcuXOH7u7uolYvSilmZmYIh8MAnDhxgsOHDz+xL0IhBO2N4/nUn5PEe+B5CcQyVjoLG7rsCCxIfBFV/7MgtrGS5gBhGAZ1dXUlixJsCwn7Uakvox3t0kX1Gk0VoVOEGs3e4BRWlmWhlGJubo6Ojo6Cuef8/DyhUAjTNBkYGKCzs7OoEfOTwBZYGzFQyMQ0BIP4K3hjCWsElf4G+P/r3Z7mU0m5voxSSlKpVEF0VerL6Cyqr2QhYaOL6jWag4MWWJqnGmeNlTMVaBgGUkoWFhYIhUJkMhn6+vro6up64sLKRpkLNAQjZceM3Dgyexmf617F5xup7yHdZ8DTuVtT3FOetMCwDVCDwSDt7e2F7aZpFtV2TU1NlfRl3Ggh8ThF9aZpkslkaGpqKiu8NJoDj45gaTRPDqewgvUvNqfX1L179wrCqru7u8glfC9QifeQSmCI8vVGRmKGjBnM12mVQSSHcKV/Bavj3+hU4S7idrtpbGyksbGxsM3uy2gLr2g0yszMTNm+jHaa0fn/7WFpxtXVVQYHB3n++ed1Ub1GUwYhJUJu3XJhO8/ZClpgaZ4qNgorKP7yWllZIRQKkU6n6ejo4OWXXy5aPbaXiKU/IJptpLFhuWRMIXDF7yHNOmgqfa4y2nBlrwNTqNU/RDb+D7s/4SfIVovcnzTOvoytra2F7c6+jHYz7EQiUbYvY21tbYmFhI1hGIXWQbqoXqPZH1THN4tG85g4a6zsfoFOYRWLxQiFQkQiEbq7u8lms7S3t1eNuFKZUcgM0yC9SPoxiBbvYHRg5L5DHYskcy/h9UwXDQu57khqLH8JGXgRvE/vqsL9wqP6MtqPSn0Z7TZBTnGki+o1mg1Iub10n45gaTSVKSesnF8a8XiccDjM/Pw8XV1dXL16FZ/Px8rKSsFUtCqIfgMAt5Ell3GDr3hYmOspP1/8NrL5GELF1seTE+u/qwyuhV/B6vzfn6pU4dMiBDbTl9FeyWj3ZRRCcOPGjRILCV1Ur9HYNg3be95uogWWZl/i7BdYTlglk0mGhoaYmZmhs7OTK1eu4PevR3mEEFUmsP6q8KsndQsr8ApYY4CdHlxv/uxSCcj6UJ68wFLiEK7sjaLDGZl7qNX/gGz8oScwec1OUKkv49TUFJOTkzQ3NxOPxxkfHy9YSFQqqrd5HKf6SsJLo9FsDi2wNPuKRwmrdDrN8PAwk5OTtLe38+qrrxIMBkuOYxhG1dT1qNQdyM0UbTOiIaxgHYJMPj1ofqdo3BW7Tq7lNYQaQ6jiL+TCMZb/HTLwEni7dm3uT4pq+bfaC+z6q66u9X9HpVSRhcTKygqTk5MFC4mNaUZnX0bYnFP9xtSkLqrXVC3Kgu3cL2+jf+FW0AJLsy9wCiv7i8AprLLZLMPDw4yPj9Pa2srly5dLzCSd2DYNVcHqX5ZsErkFhBoAMV6UHnTiWr2HVd+CkargjaWyuCK/iXX4YPQqfFpRSpUImM30ZYzH40xPT5NIJLAsi0AgUCK8fD7flp3qnfPRRfWaqkDKbdo06BoszQGmnLBy3jHncjlGR0cZHR2lqamJl156qagnXSWqRWApZUHsr8uOidXvIJsu4oo/KDtumBFkbgAj817ZcQAjvYKY/i3MIz+5E9PV7AG2f9tm2Exfxng8XujL6HK5yjrVb6Uvoy6q12jKowWWpiqx0xT2HTMUX+hN02RsbIzR0VFqa2t5/vnnaWoq419QgWoRWMSvg7VSdshAopIZhFl+HMCViqI8/YjcUNlxEQ3hyr6N1fAqqvbcjkx5rzioX8zlIlhboVJfRsuyiorq5+fnGR4eJpfLbbkvo3Ouuqhe86TRRe4azSbY2IgZioWVZVlMTEwwPDyM3+/nwoULtLS0bPniXC1F7sb0/4f0noBshShVJgGe45C7X3ZcJCYwcjGshnqEKjYgVe4u3JnvAuAd/nkyZ34PXP5yh9FUMXat4U7jcrk21ZdxcXGRRCKBEKIQ4XIKL9ufC3RRvWaP0ClCjaYyjxJWUkqmpqYYGhrC4/Fw9uxZWltbt30BrooidyuBiHwDwx1ANjaB3CCQhAfX8i2QOeShZxDmfPG4ux330k0ApOoHNji8y5rCr0Z6DM/Er5Dr+bldeSm7zZ7/W+0hjxvB2iqb6cu4tLTE+Pg4mUwGn89XIrycfRlBF9VrDiZaYGn2lEcJK6UUMzMzhMNhAE6cOMHhw4cf+wJbDSlCsfgXCJlCZFMoTqHYkOZzH8Mw882fVVqh3AKBU2isp0Tdi++Q67iCyIUL24xo8fHc87+P1XgV2Xhlx1+LZveQUu5Zf0ybSn0Zc7lcUVH95OQkiUQCKWVh/4f1ZXT+fFhRvR1J6+vr00X1mlLkNlcR6hSh5mnEFlaWZZU0YrbH5+bmCIfDmKbJwMAAnZ2dO/ZFYxhGUTudvUDM/0fH72+hOl6G3Oj6tkym8Lsreptc+4cQjlShiI8XHc8VuY/V2ICQCZT7CO7090rO6R35FOmzvw+ezderVQsH9Qv0SUewtoLH4ynblzGVShWEVzQaZXp6mlQqhcfjKVtU/ygLiWw2y8rKCkIIXVSvKUWq7aX75O5GxrXA0jxRnAWwTmFlCyelFIuLi4RCITKZDP39/Rw9enTH7+ANwyjp4/ZEyczB6nfX54OC6BxmjQtDWCD8GMvF5qGuxffJ1h/GI2Iodwfu5AdF40Z2AWn1g0iALPX+AhC5RTxjnyE38L/t/GvS7ApbWUVYDTgtJB7VlzEej2OaZsEw1Sm+nH0ZlVIF4eREF9VrqhktsDRPDGcj5o3CCiASiRAKhUgkEvT19dHd3V10Z7uT7HWKUCz8MWJDTNtIDJPgeer8U+A5hqGGi8etOLmUF08AFPWUwx15l1zHFYyVkcrnTs/hnvgyZtdHHv+FaHadao5gbYXN9mWcn58nmUwWOdvncrmCXcujLCTs4+qi+oODkHKbqwh1kbtmn1NOWDkvjCsrK4RCIVZXV+np6eH555/f9SbMe72KUMz/UdntdYmbmP5n8KbKWzPUpe8S871IIDVW8djGyjxGdrXyudNxPLOfxmp6EVV7fGsT3yMOcpH7bq0irAY225dxeXmZdDrNm2++WbCQcEa7nH0Z7eM+qqh+Y4mALqrfx0hre+k+LbA0+xWnsIL1i559sYpGo4RCIZaWljh27BgXLlwo6qO2m+zpKsLoHUiNlh1ykyWXdEHyZsWnu2JzGKKyNxbKh1SHcFEqspQRxFi+hVBZfDc/TvqlPwJXTZmDaKqF/ZYi3Ak29mV0u90kEgmeeeYZ4vF4IdXo7MtoCy6n8NrYl9H500Y71Wt2Cy2wNDuOLayGh4fp6OgorByyL0jxeJxwOMz8/DxdXV2cPXsWn8/3ROe4lylCY/x3IXAOEtfLjqdXY2Q4SqOnfJQqFZeYBKgPlI9SGctDGIkxzK7vx5UqFmqypg+3mszvF3+A58GnyZ3+l4/xap4cB/ULTUpZ5DV1EJFS4nK5ylpIKKVIJpMF0bWxL6OzmN7+uZVoly6q3wdIuc1VhDqCpdknOIvXpZQMDw/T3NxMTU0+QpJMJhkaGmJmZobOzk6uXLmC3783xpd7JrCsDGLqD0CmUS3HENm5kl1q0gv41SrKfwhhLheNKQR12Ul85gKJ4MsEVLhoPMVhAonbABjT30G29WDkHOfIpIr290x+GdlyBav9v92hF6jZaZ6WGqzHwbKsilE8IUTBEuJRfRnj8ThSyrJF9Q/ry2hjiyz7JlIX1VcJapsCS2mBpalyNgorZxGplJJ0Os3Q0BBTU1McPnyY1157jUAgsKdz3iuBJeb+FJHLiyYl64BigZWmjUDmLgBSnURQLLDS4igBMx/5Cqw+QDUXizBn8bthJYhGktTWGwgkUtTgWipNPXrv/DPSDedRNZ078hp3g4Ncg6UFVl7QbLUus1JfxnQ6XbKaMZlM4na7S6JdtbW1JRYSQMniG11UrymHFliabeNsxOwUVs67v9HRURYWFmhtbeWVV14p1FTsNXtV5C4mfq/wu7H4Hku152lyTxS25cw67Jiea+4dzKNXcaXvFsal6WhLkl3GksdxOUSYP1nsjVWfHSFpvIZf3iduddCgZkrnZK7ivvmPyV76fxEufUmoNg5iDdZGLMvakfpMIQR+vx+/31/Sl9EWXYlEoqgvo9/vLxFezr6M9nF1Uf3eoVcRap4aHiWscrkco6OjBWPBl156qegushrYkyL31Axi4ZtFmxqzMyhfEGElUBjUxIvd143Fe6iGWoQVRwk3NbHinoXu+e9gdv0NXKnbSF8vrsX3Sk7rX/gOsvMCQatyHU98eY6l//JxZjt/grq6uootTzRPnqd5FeFmsWuwdotHWUjY4mthYYFEIlFwtt8ovDb2ZXT+dB5XF9XvMHoVoWa/4xRWtjhxCivTNBkbG2NkZIT6+nqCwSC9vb1VJ67gyacIpZTEbn2Olo3eV9kFpOdDYN2EwHG8i98uHk8vYDWeRHAPWfMMbvNbJcd2zX2Aam5DUT46KFQOEYth5CIV51dXU0fD7B9Q4/4bzJnPMjk5STweByhx3t74RfKkOKhfMDpF+PAarN1iMxYSiUSCSCTC2NhYUV9Gp+jaal9GXVT/9KAFluaRlBNWzouEZVlMTEwwPDyM3+/n4sWLtLS08N3vfnfP29FU4kkJLKUU09PThEIhXkmW974Ss99CdVyCXPkLpWv2W1hdryKy5d9LkV3Bso5jrD4oOw6gCCLd9bhzy6VjwoMRuYNA0RH+BZr/m2+ggicLLU/i8TixWKyowa/tRVRbW1uIeDmdtzU7RzX0ItxrdjuCtRU2WkjY5HK5omiXfZOilCob7XpYX0abckX1N2/eZGBggNra2oLwmp2d5c6dO/zgD/7gE3gHqhCpthnB0q1yNHuEXTtgh7GhWFhJKZmcnGRoaAiv18vZs2dpbW0tjO+1W/rD2O25KaVYWFhgcHAQ0zQ50xrFP+uGVOm+AgnJBEQnSgftfVZmEZnK5qFGKorydEJquvwOOQvX7LtYPa/gihXbQ8jakxhL+bY9IruM9+2/T+b7/yPC5S20PHGuztrovL24uFhImzgFV7k+c9tFF7kfbOG6FxGsreLxeGhqaqKpab3Pp/MmJR6Ps7q6ytTUVKF8YmNPxnJ9GaG4qD4Wi+F2uwt9GXO5HG+99Ra/9mu/doAFlrZp0OwTbGFl11hBsbCyozLhcBjDMDh58iSHDx8u+RJwuVxVG8GyL067wcrKCg8ePCAej9Pf359v+fP2T6LMAJW+JpUKQPAkYuXd8uOiEeVpwpVdrPD8WsTUB8jWIxjpqeIxVwCxcAsAMXUb2XoYIzO7Pm4WCyBj6X08Nz5F7rny/ljlvIiklA/tM+cUXfaSeM3m0AKruiJYW8HZl7GShUQikWBmZqakL6NTeNnRYSllwRfNKTjj8XhVlmIcdLTA0hTYjLCam5sjFAohpWRgYICOjo6Kd5a2TUM1shsRrHg8zuDgIJFIhJ6eHi5dupRfWp5ZQYz/EcJKI3uuYKx+r/TJiVVYvE+mqROfWSYKlUoi5m+SOnwafyZUNKSEG7FwD2EmkdkalHAh1LqwlcFTGEvvACByUazMUYRwI5SZTw8u3mUj7tBvYrW+jOz6W5t67YZhUFdXR11d3fq8lCKTyRRSjNFolOnpaVKpVJEB5GYL6g+qyNCrCJ++NGklCwn782ILr7m5uaK+jLZvYDwep76+vmBdEY1Giz57O0lPTw81NTUFP8Of/dmf5Ud+5EcIhUJ89KMfZXFxkcbGRn7nd36H06dP78ocHolU24tG6RShZrfZKKyc/QLt8YWFBcLhMJlMhv7+fo4ePfrIC55hGFUbwdpJgZVOpwmHw0xPT3P06FGuXr1aFKERw7+HsNL5P2buoBoaEbn1Vjeq5ghM3UKgkBk3ymUUNYKW3lbEfH7ctbKAFfDjUuu5Rll7GmMpL9qMyD3ksSu4ot9Zn+CaJ4+NK3IXq/sq7sR7yOAJjKXSlYcAnus/R7b+NKqhf1vvixCicGF2Lom3795jsVhRrQoUF9TbUa/d7ktZ7ehVhPkU4X6MYG2FSp8XZ3R4ZSV/3bh79y7ZbJbf+I3fIJVKUVtbSzKZ5MGDBwwMDOz4e/XVr36Vs2fPFm37iZ/4CX78x3+cN954g69+9av8vb/393jnnXd29LybRqptpgi1wNLsEk5/FmcjZqdwikQihEIhEokEfX19+XTXJj+8T3sEK5vNMjIywtjYGG1tbbz66qsEg8GS/UT4S+u/Z5ZQnlcQufU6KOU5giDvyF4TD5NovURt9tb6eE0vhsqn/TzpeWL+89Rzf318Q4pPjL+DPHICIxFCuesK6UEnxsS3sbovoh5i3aBqunD/+Rvk/vZ/Bu/O+ZdVunt3NvddWlpibGyMbDZLTU0NUkomJiZobm4+cAX1OkX49EWwtoIzOlxbW8vi4iKvvfYa2WyWXC7He++9x5tvvsnQ0BDPPvssAGfPnuXcuXP86q/+6q6kDufn57l27Rp/9md/BsDrr7/Oxz/+cUZHR+np6dnx81Ubn/rUp/jkJz/JrVu3OHv2bMVonhZYBxB7KbDtvl5OWK2srDA4OEg0GqW3t5fnn39+y5EEwzAwTXOnp78j2D5Y2/nysiyLsbExhoeHaWhoeLjP18J3ESvFKTgx9Tay+3mM2B0UBiwMFo3XRO6gWjsQ6TVT0JXilGHd8k2s7ku4YrdQhh9jvlhACWUiV2Morx8ZOIERebtkWkJJ1MI0wl25FkrlLIyVEO5v/kPM/+rzsItf8s52J+3t7YXtdkH9Bx98QCaTYXh4mGQyicvlIhgM7kpBfbWhU4T7o8h911BpYBZED6ZpFv6Pe71ePvzhD/PhD3+Yj3/843zoQx/il37plwiHw9y8eZNbt26VveHbDj/6oz+KlJKXXnqJz372s0xMTNDZ2Vn4ThBC0N3dzfj4+N4ILClBbuP6tI0I1rVr13j33Xfp7u4ubKsUzdMC64BhpwIrCatoNEooFGJpaYljx45x8eLFbXseuVwuMpnMTk19R7Ff81YElpSSqakpwuEwPp+PZ599tiiUXw4R+p3yAysLKI8XFTyBiHy3aMgl0yjVjGAGGejDmLpf+vzFSVSwDhl4BiNSWhhvxMaRR18p6T1txAn/AAAgAElEQVToRHnbUBmBEAZiQ08u5Q4i5u/l5zP2J6gPfh3r4k8/9LXuBnZBvRCCgYEBAoFAUcokFosVCuotyyopEK6rq9sRB/C95KCnCO1I+9Monh+JMoE/AP4mkBea5W50o9EoJ06cwO12c/LkSU6ePMkP//AP78gU3nzzTbq7u8nlcvz8z/88H/3oR/n0pz9d0VJiT3hCAiuTyfCxj32M3/3d3+X7vu/7gIdH87TAOiCUE1bOAvZ4PE44HGZ+fp6uri7Onj372Cu9qtmmwWk18ag7Y2dxv1Kq4qrJEjJRxPQ3yp8/OoY69jcgW16AivnryO5XkRaU+1oxknNYTS8j0tkyo/Yx7iKDfRXHlQwgZr6H1XcZ98pbRWOy7hRi+Vrhb9e1f4M6dA7Z9QMVj7fbOO0/7JRJR0cHsLWC+rq6Ovx+/76JiBz0CJZ9DTlw74FSwNfzv4t8AbszguUkFovt2ipCO1Lj8Xj46Z/+aY4fP05XVxeTk5OYponb7UYpxcTERFFUZz8RjUaL/rYNZjfyiU98go985CP09vYWtj0smqcF1lOOU1jB+qpA+8sqmUwSDoeZnZ3lyJEjXL16tbBa5HGpZpsG+2L9KAEYiUQYHBwklUoxMDCwqeL+Ag++gqrpR6Tmyo/P3QZ3c/kxgLn74G6sOGwsPHiogJJ1p1BTYVRzGyI9XzSmDA/MraUmR97D6jmPa3W9EbTKqSJLCaEk7r/6B2T/+z+F+p7Kc94jHlZQ7/TsKldQ70wzVmNB/UGvwbI/owcvgvUXQAhYv6mxBc1GotFoUZufnSKRSJDL5WhszF+HvvKVr3Dx4kXa2tq4ePEiX/7yl3njjTf42te+Rk9Pz97VXz1mkXtXV1fR5l/4hV/gk5/8ZNG2d955h/fee49/9a/+VclhKkXzqu9qotkR7OJ12319o7BKp9MMDQ0xNTXF4cOHee211wgEAjs6h2ovcofKAisajTI4OMjy8jJ9fX0cO3Zs61++t7+AWgmhjp5GrJZaIajgCdRqFKNMig5ABY4hU6JsBAvWBNR0GFXfgsiUtsFRsQQivYolT+ESi0XnkA1nEUu3ARBKoWZmC0JMufyIhXslxxPZVTx//ga5v/0n4NnZ/yuPYrvpB7fbTWNjY+ELwj6Ws6A+EokwOjpaKKjf6Nm11wX1Bz1FaN+kHagIlnoX+AAQwInC5koCa7ciWHNzc7z++uuFzEdfXx9f+lJ+0c7nPvc53njjDT7zmc9QX1/PF7/4xR0//6ZR20wRrl1XJiYmigRquejVN7/5Te7fv1+IXk1OTvLhD3+Yz3zmMxWjeVpgPWU4i9fLNWK2C4UnJiZoa2vjlVdeKWn5sFNUs02DLTY3CixnRK+rq4vz589vr4Zn8k3ESt6vSiYyGIYHIXNFu6jIAiyNoAYuIxbfKjmEyroxpj/A6nsJ19J3SsdXVxCpFaymc7gpFljSfxhm8rVbYvYeVv9l3Mvr51CmtzhClV7GMk/gEkvI+tOIlWK39wJWFuM//yPk3/ociP35hfeogno7zTg/P18oqN+YYgwEAk8soqIjWPJg9dxTtwG752gXiPVC9XI1WEopotHorgisvr4+rl8vfy04ceLE3tky7DAbG32X42d+5mf4mZ/5mcLfPT09fP3rX+fs2bP89m//dtlonhZYTwmPEla5XK5gKdDc3MzLL7+8KyFlJ9UcwYLiGrFsNsvQ0BATExMcPnyYK1euFEz9tsXtzxd+FcsjqJ5XEJH1Rs6q4TSM5AWYGruFaj2CSK47sCtfM2rqNgJQkyFkcztGej3VKIPdiKm8tYOYvoXVfxlXZP1iJwN9CJbW5zP8PvLYaYzoXZThW08POhDzD7B6XwIzW9lx3teBMfTn8O1/jbzys1t5R6qecg71lmWRTCYLnl2zs7OEw+GSgno76rUbBfUHvQbrQK0glEMg/tSx4WTR8F7UYO0L9tgHq1I0TwusfY6zEXM5YWWaJmNjY4yMjFBfX8/zzz9f1CtrN6nmCBbkIxmmaRIOhxkZGaG5uZnLly8/viNyYgZG/3PRJjXxPupQFyKZ7zeolONimEshVT8uHAKr9jRixu4PGEcaZzBwCCxfNwJHu5uxO8j2bozEeP7v5cWSGiq5GEMEG5C1A4ilm5Rl4haq9VTFl6aW5xCA8b3PoZqfQZ35oYe9EzvKXkQwXC5XWYf6dDpdiHZFo1GmpqZIp9OFgnpnmjEQCDzW3A96ivDArCDMDYJ4F1y2UjCA40W7WJZVkr6SUhac3Q8qSuYf23nedhkdHS38XimapwXWPuVRwsqyLMbHxxkeHiYQCHDx4kVaWlqe6ByrOYJlO9a///77BINBLl26VBS5eCzufBEhi/2/hJVB0oKLCZSnHjV5p/g5M7eR/Zcx1qJQaqm4KF1M38HqfxlX5F0UAhbGisfNNDITRAg3KtiFMTlaMi0Rn8NqvACmUTlC1XQaOTKC6OzBiBUfQ9b1IqYnC38b3/jnWI3H4MgLld+LpxAhBH6/H7/fT2tra2G7s6A+FosxPj5OIpEAKPHs2mxBvV17dmAiOGU4EBEscwzi/yc0OAVVN4jiKHq5CFYsFkMpVVRnqKkOtMDaZ9jCan5+nnQ6XegF6LQdmJycZGhoCK/Xy7lz52htbd2TO+BqjGAppZiZmSn0U+zr66Ovr2/H3h8lTQj9YVkBI+ZuInteAlwwV9qeRk0+wKpvIUMQ39xo6fj4fczmw6RkgMDKZMm4WBzC6nsJFAimSsYBmB1EHnq2cuF8zoXIprCiTQhvHSIXWz9/TScws34+K4vrj38S6+/8ITR0lTnazrCn/jpboFxBvZSSVCpVSDEuLi4WCur9fn9JP8aNBfX2a9cRrKc4gmXNImK/hvJ2gbB969wgT5Z4tJQrcrctBg5yBAu19tjO83YRLbD2Cc6IlV3UuLKywpEjRwrj09PThMNhDMPg1KlTtLe37+mFuZpsGpRSLC4uEgqFyGazDAwMMDQ0RGNj486+R/e/jhJtQGmNE4CaG0LVdJaPIGViZMVpspbC50j/2Yhckpx1BNN6yHxHr6FaL1SMUMnms8jhO4ijxzFWiueo3AGYydeFiaVprO7TuHLvIdauQmp5oeS4IhXB9R//F6wf+Rr4dmexROFc+1BkGIZRKKh3ks1mC6IrHo9XLKi36wD342vfKZ7qCJYVQcR+GaFiKF8rsAAISHugZqB09zJF7naj56f2PdoMkm3WYO30RIrRAqvK2diIGfIXW7fbXVg6axfeSikZGBigs7OzKi7I1ZIiXF1d5cGDB8RisaJ+iqOjozs+P/X+52H6fWTXBYyVG6U71LSjrMaKAsgdGSLpfabi8V3LE+R8pRfewvkbT2DOLePx1iOy0dLxjERYJtZyDlHTgMisro81nSlYNwAwfhfr+Ku4I99G1h1DTI+XP2lmFb76j+Hv/N9g6EvKZvB6vbS0tBSl7S3LKjjU2wX1sVg+gvj+++8X9aPbrYL6auSpjWDJVUTsVxByGYkLjLVocaYWYUqUKF1kUy5FaAusarjma4rRV8MqpZKwcrpZp1Ip3n77bbLZLP39/VszwXwC2P3+9qpRayKRYHBwkMXFRbq7u0va/tjz2ynU9HWYfj//ezSJNHwYstipXalm1MgHqP6LiIXS5c+5+jPUTE2gmg4hUoul4w2nCY4NIY/0YERHS8al0YhYHcM8dgZPtrgFj/I1oqZDCEBE57EaTuHKvL8eoSpjCq8GP8A6/hwYfqC8Yaqq64HQW/D1T8Df/kzZfR6H/ZIifFxcLlfJcvFMJsNbb71Fb28vyWSS1dVVJicnCwX1G+u6Hregvhp5KiNYVgIR/zWEXPtM1RwHkQazBSP5NrL2p8o+rVKKsL6+/qn7d98SOoKl2QyPElaQdxe3m96eOHGCrq6uqrzDs+f0pAWW00S1s7OTK1eulHWnL+eD9Tio939r/Y/VCVTPyxD55vq4rwk5mjfwlAtLGJ5aRC5efJBEFncuiaw5i6uMwFLJHC5pYqX8CMOLkOuqSLl8yMlwPjo2dgfr+Mu45tb7FMrGk4hFx+rBiXvIZ17BNf8WylOLmn5QmgIE5OgkHO6h0r+gjK69hht/CA2d8KGPV9hTs1VscdnW1lZ0DXhYQf1Gz65gMFiVDvWb5amLYMkERvQLoCbWt3lbwAIj9u185MpzvuxTy6UIY7HYwa6/Ai2wNA9no7By9gu0WV5eJhQKEY1GaW9vR0q5d60JNoEtqio1KN1pnF5fhw4deqSJ6k72SlSxWbj/9eKNE9eRbb0Y8ZH8PvVnYXotahWdR/VfQiw4vLHqe3BNrO07fhs58BLG3LrBqKrtxJgazv+xOI71zAu459fNQ2XLOcTSugO7NfwA0dGLEV07ZjxZMm8ZvonoOQPuICJyq/yL8zdjzqbw+IpTigAq2AZzw+sb3vy/oKEDnn29/LE0W8LZhcHJ4xTU21Evn8+3L6IeT1UESyZwzfwcMtBSuJmRuAEB0bXPsuciCE/pU6UsKzZXV1cf31pGsytogbXHKKWKTEJtYeW8oKyurhIOh1laWqKnp4eLFy+STCZZWFjYw5k/ms32+3tcnJYUdXV1vPDCC5tasryjAuv6l2CDUztWFmU1IpVAGAI5O138nKH3Ub1nEZF83ZOqOUq+yDWPnBhGNLYhknnLBivQi+CD9fHwDWTvGYxI3vJBpotPL8wsZtKLx1UDNY2o2XBphEpJrPlVREtdZeuG4FGYvol5dAB37laRI72q74O5DZ5a/+lTUNcO/a9VOOL22A9iYKfZiot7pYJ6uwm2s6A+kUjgdrtLPLuCwWDViZmnJoIlU7hmPgHZcfA7Sgc8fRD9LsZaOEX5Xir7dHvBULkI1oE2GWVvfLA2gxZYe8RmhFU8HicUCrGwsEB3dzfnzp0rFLZW0wq9StjeXLs1T6UUU1NThMNhPB4P58+f59ChQ1v6QtoJgaVyadTwt8sLlPl70PsKkIQHoZJhuZLCcNeAUsjJoeLBTALTfRIP8yhhIOemNpiHKszFOB5fPRhu1NRgqYCKTGL1PYdwUyTOirAk5orAXaadD4C1lG/DoybD+ajZ4tvr848nSo8nTfjqP0b9z19GdJ4oHddsmp0wGfX5fPh8vocW1E9PTxOPx5FSEggESmq79rKgfq9qOHcUmcY1+wmMzF2s2ksFk2BltCEsE0FecClRD+7yRr+maRauqU52q9HzvkKnCDU2dirQKaycaQBnP7wjR45w9erVkhoiW2BVe5+y3RCCSikWFhYYHBzEsiyOHz9OR0fHlt+HnRJY8vp/wFpJ4hJuhDJLxtV0CNlcYWXg8jTqmecRZGHwTsmwmLqPNfAywkwghodLx6OLWD3nEB6B2BhJss8/fAN57OWKNVSq+QTy/m2s45dwO2q2AFRjD0yte2rJ0G2sU5dxzb6DCrTCzAZRaD8v0Iz5Wx/D/VOfR7Qeq3DmzXFQitzLsVuf73IF9U6H+lgsxsrKSqGg3ufzldR2+f3+J3LtsSyraHHKvkOmcc3+AkZ6LVLt9SIkKNGMsTqNrHM0Tvc+X7HHp72CcON7riNY1YsWWE+QRwmrdDpNOBxmenqajo4OXnvtNQKBQNlj2WHiJ1XftF122qpheXmZBw8ekEwm6e/vp6ura9t3t0KIx/7yVlJivf0FiIyi+i8j5r5VupOvHivur2juqcLXkd3PVzyHHA9Bx5nKcxi9hXXscmUB1dSDGQrjaT+KWC01KLWi+dosa/A2xskXMGbWTVBloAModpW3HtxDDFwAtx/mK4i6YCdM3sT8rX+A+6e+gGhsL7uf5uE8yT6ElRzqc7lcUYrxSRfUW5ZVdpHKvkCmcc39S4x0/nMiRQDkNEo04IrOIv1HEWufLyXqUZ7y6UEov4IQ8gLL2bT8QKLYXjRKG43uf5zCCtZXBdrCKpPJMDw8zMTEBG1tbY8szob1FXrVLrB2KkUYi8UYHBws1KE9//zzj/26dyKCpe7/BURGAZBjdxCHjiLixSJG+nuQ928i+p7HmPte6UEajpKbWcXj9oGZKR03PJjLFi5hIMoUDaimHswHYTxtnYjodMm4rDkMmVuYqWbc7hqEuV6spWrbUTPrkbFcOIy3+xlEJJ/OlIvzJcdDSsyxOTjSV1HU2WlFVmYxP/8x3D/5m4jgk+mB+TRRDX0IPR4PTU1NRT1MpZQkk8mC6FpYWGBkZIRcLlcoqHemGR+noH7fpgitJJ6xT4MjNa9qT4OI4oqtYOTmsBoG8tEs/IhsLaqpv/LhKlzr9SpCdIrwICKlxLIsLMsqXCidwsq56q25uZmXX3550x8UO/plmmZJ889q4nEjWKlUinA4zMzMDEePHuXq1as79np3QmBZbzmsGcw00ujDhUNgeWsxR/JixZqfRZQxAJX+o6ixm8iTlzCm32YjsvkU6t4d1MkXEVPvlo77DkPmNpbZisuYL+qDqIQLOZOfj1qYwhq4gHvBsTKxvhemHVEoM0c2ksXrbwZ/I0yst8Ypwu0nN76Ct/YQIlFsJ6EajhSlFZkfwfrCP8T14/8Pwhdku+y10NgLqrUEwDCMgnhy4iyoj8VizM7OkkwmH6ugfl8WuZsxvIMfQwabEY77S+WpwUgsYmQnka66fDQLNyLjhpqH1yuWMxmF/CKoAy+wqhQtsHYBZ/F6uUbMpmkyOjrK6OgoDQ0Nm171thHbzb2a2W4EK5vNMjw8zPj4OO3t7Q9Nlz7O3B5HYMnxa6jxa0Xb1PRdZN/LGPN5IaRaLsDcmv1BfAnZexGXw1oBT4DcaL6OyXxwA1fPM7gixcXw1sJy/mfoLupIL67lkfXzGW6syXzjZzkzjjj5Aq4ZR1f3tlMQXt9fhu8gT72AMZ1PA1pLS6UvbDVCrrYfoyYIZVr2AKjmXrh3B7PmCG5vCpFdL3ZXdUeB4uOqybtYX/wnuP7uv0W4D4YD+U7wJFOEO8GjCupjsVhRQX0wGCxJM26st9p3Ng3mKr77P4WRvIusfa6wWYpajOQ8rlQ+YixrTwGzCLMVV+o6uUP/9KGHfVgE66A3elbKQKmt34jsdn2nFlg7iLNfYDlh5bQTCAaDXLx4sehCtFX2w0rCrUawTNNkbGyMkZERGhsbtxTV2yqPazRqvf2Fstvl7ASiphGRi2LOFqfY5Mh1RO+zGPP5tIFqOweLa8XtSmGu5MDw4lozEM019sPYWtrPsrDiomictrPwILw+pwe3MJ45h1gTdVKVabcRGsJztA+UhRovrckCUNPDWL5XKqcAo4m11zqF2fMMbvN2IXJmLS+XP+bYTbJf+kW8P/YLCPfmi5YPcpF7NaQIH5eHFdTbnl2VCurr6urI5XL7R2DllvDd/0mM1CBWoAdh5iPASngR7gGM5PoNmfIYCPMIrvh3kL6T4Ol86KHLRbCUUsRiMe2DJUX+seXn7fxUnGiBtQM8SlhJKZmcnGRoaAifz7dlO4FKuN1uTLN01Vo1sdkIlvM9qqmpeWzxuZNzK4ecG8aKRMsLkOQysu05DFcCdb90lZ0VWUF4gohcAjNSnC4Uy/OstPXRkr4PQDztxZlUE0tzrLT20pJ+kD9WZsMMFOSmInjqW/Ipy/Eyq/zMLLmowGgv9t0qom2A7M0P8J59AWPyveKxujbU9Oj6ezE6hHXiEu7576DqO2B6grIcPo71wV+RtUy8f/eXEC59+XkU1ZoifFycBfVtbW2F7RsL6sfGxkgkEty7d4+JiYkS+4iqSh1m5/PiKr0WoarrQVgP8uIq24gyVgq7SvchhPTgWjMXVbU/8MjDP6zI/aBHsKoVfYV7DDYjrKanpwmHw7jdbk6dOkV7e/uOXTD3SwTrYXNUSjE3N8fg4CDAjr9HD8MwDHK5Ut+nzZD7i89jDX2AOHYasXi3ZFyNXsPsvgyUETjReWT/c7isBWS4VIzUzo8TO3yMoBkhuFTa/69+YZLo4V58mUUYC5X6byWiWC0DGE0eiJTODYDleXK1vbiEgDIRIulpBKbJ3h3Ed/wMYnbdQkI1HoOZ20X7Ww/uIs68jDAkTK9QDqnyqUHr1rfI/s4n8L7xi1sSWU+j0HgU+y1F+LiUK6h/++236enpwTCMglHq8PAwuVyOQCBQkmL0er1P/P+KSI7jGf3FgrjKs4LCg8g1Y6QmkY7/69Lbh2tlTVzhRtZefeQ5KqUItQ8WOoL1NOEUVnb6wimslFLMzs4SDoeRUm7bp+lRuFyuqo9gPSxFGIlEGBwcJJ1OMzAwwJEjR57ol8l2a7Dk0jTmtT8BpbBiOVzlDDpb+slNLOJy+xFmqvQYw9eRfS8DUyVjAvClQXRegIUbZefgj2fgyHlUpPy4HA8T775IxZLy9mcw79zEOPMCYqK4KTSGC3NiTfhJSWZskZrDXbCc32atRCmHeecOxqkXyp/P5cGaGi38ad34JtkvfQrvRz+JMKooClFlPA0pwsfFrtVyej0ppchms4W6rng8Xiio93g8JaIrEAjs2rVFRO/gu/kx8K3XIVrBfrAiCLMV98o1zEOvIeTaylzPcQxzvbZRBS6B69ECyTRN/P7ilH82myWdTh/4CJZSYps1WLswGQdaYG2BcsLKuSrQNsAMhULkcjn6+/t3VTTs1yL3aDTKgwcPWF1dpbe3l56enj0J9W9XYOX+8gt5t3JARSZRx19AbFj9J12HUEt34fhFKLMykEAz2bElXB4/IlcqwFhZINd8uvIk4qtYyQBGhQiUWduKcf8Bic4ugtHSKFluTXpl797Fd/IsTDkiUodPwuDo+t+pJJloEJ+/AbwB1NR4+Tk1HiZ1/Q7+UxdgcoPwO3wcwsXRPOv6X5J1ufF+5F8gHvIZOcg1WE9rinArlFtFKIR4aEG9LboqFdTbqcbHNTA1lt7F98HfRzafw8iuR4tlbTciG8O9krdlUa40QoL09CPi0+BPOvZ9dHoQyqcIo9H8zY42Gq1OtMDaBBsbMUOpsIpEIoRCIVKpFH19fXR1de26aNgvKUL7PUsmk4RCIebm5uju7ubChQt72oJjO0XuMrqI+d0/LNpmDd9BtHcjVteER10buVC+RsoM3cB97DhicbD4OE3PIG/fIdraQ3PuHhsRh4+T/uB9vCfPIaZKmzCr9uPk7tzAe+Y5xNj7JeNGcy9i9jbuVQtV24xIrK/qky4PuZGRvPGpgtTQDN62w7ii+btqqUpNHVVkgdyxXlz1fpgqnwKk6ShM3yH1YBz/M6dh2vGFI8pba1jv/zkpVz3+//EfIqqpnqZKOGgpwnJsZRVhpYL6VCpVqOtaWVlhYmKCTCZTKKh31nZt1qHeNf+neG/+rwiZQbnWryNKuBHpKO7V/OfSqjmKkZtAeY7hWriG1foywspfH5T3PCpQ2Vx04/tQrg+h2+0uiWwdOHSKcP/xKGEFeWfxwcFBYrEYvb29HDt27IkZf+4HgWUYBplMhrt37zI5OUlHRwdXrlypiguCYRhbjo6Y3/wS5DaYgZpZJE0YTCBQyLp+kGsRISWx4qoojahcHpKhYdxA7cI4auAcYrZYRFnUA9NkJ+bx1TdDfGnDeN5/KPsghK+rBxZG1weFgTmdX3moYquYjb14jFWQ+f8rRsdpXPfWrSCMbIZUNECNy4dAkR0ZKus6b42NIE+8VHFlYW5xbfWgaZIamsffMwBzYXCtW0lsRBzuI/PXf4yKrhD4+z+/pdWFB4GDniK0e7Y+zs2qEIJAIEAgEKhYUB+LxVhcXCSRSBR5fFUqqHdN/h7ee/8coSyUpxEjnV/Jq4QXy3cB96qjG0J9P4I4xuJdkBkg7xunPMcRuXowNneTWW4Voe2BddBFOErkH1t+3s5PxYkWWGXYjLBaXV0lFAqxvLxMT08Pzz333BPvl1XtqwhN02RlZYWVlRVaW1u5fPlyVS0n3mqKUMZXyI2Gy49NDWIcfxEid8gNFafC1OIknHgBpvKpwmiwB19kvQbDXIji9tYisnEAsp5a1PDaeRIxzNZ+3InlQiow5w5gjaydwzTJRsHrC0BmLe3QcQI1uC5orIkRXGeew5hY875Kl75mT3QZ0X8GPCauwfL9BbP1bajrN3CffBbv9IbG0S1HkBMOF/lshtRkHP/hbqiphXBpH0UA5WsAJsld+xaJ3/gXBP/BLyI85b9wDqLQOOgpQvsGcjcExMMc6u0UY7mC+q7Mf6Ej8m/Xn9N0BiN7FyV8KHUYIbLFJzIURmQYw4pj1p9FWBGUpxfX7NtkT31+0/MtF8GKRqNVdU3VFKMFloONwsrZL9AmFosRDodZWFigu7ub8+fP71may+VykcmUaa2yx0gpGR8fZ2hoCLfbTVNTE88999yjn/iE2arAyvz5vyN37xqeI32wWCoYzIkR3L3Pwez1krHc4A1yze0EM3META/OuKNaXUQ9cx6xZhAar+kgGFl3ULdGh3CduYQYz9dzxAKdBJbWx1VkHnn8FMZ0PiVRzvsqe/cuNSfPwuo05thIyTiAOTSIcbbCykdABlsRRDHvh0l29dK4un6cbM0hNpqLkkyQXnTjOVahPkQIcjPrr8O8/V0S/8fPEvz4LyF8ex/hrAYOeorQ/nw+qRrNcg71dkF9bHWJuls/h5ti77hkJo5f1GCm6/HFriMPDxTGrJp+jOUHGLl8dFcFDgE1uOZvgu8Iqvb8pudWqQarvr7+QItwACUFahspwjKdx3aUg/vJdWALq1wux+DgICMjIwghijqXJxIJbty4wTvvvIPP5+Pq1aucPHlyT2uIqi2CpZRienqab33rW0xOTnLu3DmOHTtWXV41DrYisGRsmcxf/z5IC8v0oUSZ15TLkImWb0orlMTnboLDp7DK+ESZoZvQ8SwYLjxLpav0soMhaO4CwLWaLBnPDd6Drmehpq7gDF+EgvToHLL1NFR6zbWNJL53E3HsXJkXIHAtrddeeaciWIePr89vrkzPQkAlEiSn4tDYVjIm2ntRK8WizLx/nRoCFggAACAASURBVPiv/jNkMr5+jANc5H7QU4TO/q17hRACn0jTeefjNCx/g1rWF3lY7ib8xhLZhJ+a2F2i3j4MM/9/OksT6VwAVyZvtSKFF4jjWhrFsOJYh/7WluZRLkWoLRrWsGuwtvPYRbTAIp+Lz2QymKZJLpcjlUoVPtCpVIrbt2/z1ltvYRgGr732GqdPn66K7u7VUoNlr558++23GRwcZGBggFdffZW2tjbcbvdj9/vbLbYisDJ/9u8gk1/tJ2dGEF2XSnc6eoHsnQ9QR8vflaq5MXLu7ornyM0uoo5exJtKlBnMkcvUoDpO4Yutlp/j0DjyyAWo5O2VSpJeNsBb4f9uay9YisTgJKK9t2hIHO5DLkfWN0hJZmwJ2nqgtRtPtHzhe7y+DWt6huiKCzNYvJRc+csvLbeG7xH99U9hrUTKjh8kDnqK0F5BuKcCKzGO7xv/Ha75b6FazyGs9VW/qvksRraGQCpf0xhsz3++TaMZonE81nqqfsXoxVyYxMguojCIB39g0zcPUkqklGWL3LXAql50inANu8bK7XaTTqfJZDIMDw8zMTFBW1sbr7zySklj072mGgTWysoKDx48IB6P09fXR3d3d9Fd1uO4pe82m11FKKNLZL75+0XbciMhPI3tEFszAjVcZCbzxauJ8WlqvH7cG/yvRFMHiQ9u4zt8DBZLi75VbJmcdbbyPGanyDW/ClSwScimyawIDI+vtBAfEO09ZO7do+bkSYzJD0rGc0uxteNkSc5n8Ne3QDQvcpS3gRLPrkya1LwPX183lRzha+tbycxEcEVjpIwGavwSTyofoUuMjVOuatE40kv63i2Wf/Gf0PhP/yW0lEa/Dgo6RSj39PWLyDV83/oIIrPW0NzrhrWPlvS2IhLLGKv5rgvK8GJkR1CeFlzRFEZdB8baZ1UZAYJuF75MvvZyhRO8c20Ewxgr8ewKBoMlkSr7GlopRXjQqVYfrIP7yXVg11nZj5WVFd58801SqRSXL1/m2WefrTpxBXtrNBqPx7l+/TrvvfceTU1NXL16ld7e3pILw1Z7ET5JNruKMP3nX4ZsunhjNoUMrPcOM9tPISP5i7AnncA4XCqUZH0XZLOYOS/KKL23EYeOkvzeNZbr+8pPJFhP4vpt4o1Hyg6L9mNk7t5DdpT3z5L+5vzruR+C3uKaONHaVVh5CKCiq2RVcz7a5XKTHS8v6lR0ldSCCbVl6qw8XrJj60LSWFlFyhaoa4K2Y3gSsbLHjJv5y5JcnGP50/+E3HB+SftBjOToFOHeNXo2hv8I31//UEFcKXcAI5G3VJE1R5GZOozV9dW/VsuzIDwQS2MkxlGB/GdCCR+So3iz61Ytwb6P8KEPfYhLly7R2dmJYRjMz89z48YNvvnNb/Luu+9y+/ZtRkdHiUQiJJP5soCN70U0Gt1VD6xPfepTCCG4fTu/KjoUCvHKK69w/PhxXnzxRe7erdAp4kmjBEhj64/trDzcAjqCtYZpmoyOjjI8PIxhGLzwwgtV7467F0aj6XSacDjM9PQ0R44c4cqVKw9Nl1ZzBGszKUJraYHM4IPSdjSANXoP2Xce18wtEjOrOKvxcoO38Q2chek1u4ZgA6m1pszWzATu08/BaLGDugoeBpbxLCwh29oxVje0yWkbgLkHEElBQyPEi9NysqYFWCBz7wGBsxdQIw6zT4+XzMi6SEreGSR4/ARqcs2Pp7bt/2fvvaMkS9Pyzt93b/iI9N57V1mVVdWmeqq7p4CFPaCDFiHYhWVhlkGwuOHs7lmEEwJJ56zmDAyCxSxiJMzqMAMCZhjcCE0PjOluta0umzYyIjPS+/D+mm//iMyMuBmR3V1ZWdXZdD7n5OnquO6LG9c83/O+7/MC1pCcvr6OOjyCza4hZytXASodfWSCC8iONuwuHbKpkmWDZb0Y9Z0daG7C2dwEbHIUUgjUveI4ZDJO4pf/Bb6v/ycEg11UV1dTVVX1rr2K3u/4oIcIDcN4/Dmc0kR989+i7L6G0Iu5gGbTBLbsXUzPIGyvQ9MYIlHy/HDXQngbJbmEVN0ouSBS2JCyDewORL4wGTY94xi133hsQn0ul7P0YzxwqAe4c+cOVVVV3L17l56eHmKxGE1NTY/kNNy6dYvXXnuN7u5iWsOP/MiP8MM//MN89KMf5bOf/Sw/+IM/yKuvvvpIjv8PAecEC9jc3OTevXt4vV4GBgbY3Nw88+QKHm+IUNM0FhYWWF5epqmpieeeew6v99hGLIc46wrWO40t9Re/jzZ7F8fwRViZLFueX1tDtF7AMV+u8Gi7MWxODyKXhuYR2CjO9nJzUzi7+mF7n7i4q8jMF/6t6nl0pQ272EXI/d9XKOTWCzNpNZsl39KNIxUvlsE43eQWQof7T8+F8HR2IbcLCfWiYwQ5VUJ2TEl6NYqnthkZ2yW3UqzmK0XOH8C8fA04zmah4NelrW0gerqxGYuH4UnTrPxi1Ld30B0NOKrrkXFrkrva0Y8IWosAFF2j5+//nLjHw3LPEMlk8vDldGAQeRBa+YcWTjsPET7mEGEuhv0rP4qy+hVk91XLImEHwzaOWJtG6GkUs3jtSnsjSngeJRkqjLvxKsIIINUB1K1XMToKOZumsxfTNgS2Y4phhMDlcuFyuWhsbDz8fG9vj+npaZqbm0kmk3zqU5/izp07GIZBY2Mj4XCYy5cvc+XKFSYmJh76/ZXL5fjYxz7GH/3RH/EN3/ANAGxvb3Pr1i1eeOEFAL7zO7+Tn/iJnyAUCtHb2/tQx3tYnLyK8FzBeuTwer1MTEzQ2NhIJBJhZaW8ygtAShMhzs7D7nFUERqGwdLSEouLi1RXV3Pt2rUHkqTfzwqWvrlM9uX/Uvj3dgTV4UbkrXlV9lwKHJ3oFfKizOgucmQCsXGH7KK1tBvDQE+DanMi9ByibQS5XXR0N1aXsI8/eahyic4RjJmS6qWlZbh0BRZuFZa3jyAnS9ziNY1cUuBweSGbQs+Uf0+ZTJKrasPZ3YQ5Xdm6AZeb5K0ZfGOXMYNH2t8oKvmVYl5WfmkZMTiEujMLqo1cKFRxl0p7D5nAIkZjA+46FRkp5m9JZ+VQvGmz4f6LP6PpH30bVd/9ETLZLIlEgkQiwebmJvPz84ftUEpJl8/ne2zGv48CldrEfJDwOBUsEfFj+9JHUeILSLsXJVacUEm7D7AjVt5CmBpmVRdqqqBIm85mTNcItthLxfUdKmgjqJsvYVYPoeSWMB2tKJFltKv/+oHHJqXE4XDQ0VFID3jhhRcwDIPv+q7voqOjg7a2Nl544QU++clPYhgG6yXh/pPgF3/xF/m+7/s++vqKxS4rKyu0t7cf3k9CCLq7u1leXn7PCdbJndzPCdYjR3V1NR6PB3hn0nKWSNaBgvUowgimabK+vs78/DxOp5PLly9bZlQPOsaziHdKck999j/C/tjN6C5G3zDOI47rSvc4ibfewjU4ilydLduH5r+PY+JZzLfeLFtmbK+jjl2GlbfIrpTbHGRnZ3B19yO2F9C18ls1M+3H0z+AXA+iRcsrD42dXYzhIWzJNfKLoYrfUd/YgKZnQIQqZnyqHQPIyQCJe0GqxscwQ0USqHQNYs5Z95sLLOAaHcdmN6DELd4CTy2wib67R7quFk9DK3Jvs+CLtVYeNgTI1DbjWNsm+defR9/coP5j/xe+tjba2toAazuURCJBOBxmaWmJfD6P2+22kK6qqqr31F7lQfBBDxE+LgVLLH0J+1d/DKEVQoKyeQwRL4bwjfprqKGvIPatv2VtD8S3MF3tyHge4YgcriudjWDYUDe/UvgO1d0oukQkkkhHI2bNlQceXyWTUVVVSSaTfN3XfR0f/ehHDz9PJpM8DF599VXefPNNPvGJT5QtO3otfpAtVN4NzgkW1ovmgGBVerAJoSBlHjgbD2dVVQ9bSZzWQ1hKyfb2Nn6/Hyklo6OjtLa2nnj/Zz1EeNwDQlucJXfzq9YPQ/MYHT2oe8XE7Vy0QMa1cBLV4UIcTYYXCpmtdCFZ/OgyID87ifPKsxg3b5UPwjDIJyTOhk5ywQoKk2GS3cvh6hxGm1stX86+f9bVa7D+RsXlwu0heWsGz9hlZKBCZWFy35VaSpL+DXy9fZjrhbEc118wOzuP4+rTIALlpE0I8qtFEmVEoqTMarxNHQi7A3PxSKXiPqRW3E/2zdfY+dc/Q8NP/QK2hsb93VZuh3KQz3Kgdm1sbJDJZHA4HIdk64B4uVyuM0dmzkOEj1jBM3WUl38ZdefvD8kVgFD3m7kLFaP6Q4jM3iG5AlC0DUx3F0QSCCQiWaI+V13Etv6V/e1tCHMbmXegZhbJj/zCiYZZyWQUKlcRPmxB1te+9jVmZ2cP1avV1VW++Zu/mY9//OOsrq4ejkVKycrKiiVH672ClApSPvh9cl5F+Jhx0O7mONVFCAdSng339IMb7rTChOFwmNdff52pqSm6u7t5/vnnaWtre6iXzgGJOYsk62BslUhW+oU/L7v7hJSg2w9NRpXui+RXC4TACO8gOsorB9WeC+QCAURn5co+pEk2YsIxzuXm7hZazfCxTwIzHEZzdh77HREKqbl11O7BiouVjgFkXiN1z4/aP27dtK6R/FIxLCnzGqn1NKKhBRzOY1Ux4fGSuDmF6Ltctkzt6MOIHknOj8VJ7eiYVS2Vv4PLjX3PmoCvhRbZ/pf/nFzgGJVsH06nk4aGBnp7e7l06RLXr1/nxo0bjI+PU19fTzabJRQK8dprr/HSSy9x69Yt5ufn2djYIJlMvufX7XkV4SOsIkxsoP7pdyPm/hwRKeZHSkcVSmwSafNiuC7Dhh8lNnW43KwdAmGDcASR2UY2Dh/mShpV11AyxcmO2XAVdCdqfA4pHOht33GioVYyGZVSkkgkTj1f+Gd/9mdZX18nFAoRCoXo7Ozki1/8It///d/P1atX+fSnPw3A5z73OXp7e9/78CDFHKyT/D1KnBMsyhUseCfSoiDle++gfvDgedgQXCKR4K233uKtt96isbGRGzdu0NPTcyoPtoOHwnv9oqqEg+93dGzR175G7PXX0OzlCo2xuYLoLVgc5KJWQ8/c7CSifaj4gRBk9wrVP9npKZSu0bL9qR39pCdnoa18GQAOJ4n7AURvZX8s4XKTuDuHOlROZgDU7oFCKG41ilJXHuLNR/dzyiQkZ1dR2nuK+27sKGuGaiaTZNNOlN4LyGPaNKkdfaAbpO77EQPWcIh0Ve6bZibTJBbCFYmg0t6LYpRfP0Y0yvYv/xKJL71QcZ/H4aB9U1dXFxcuXODatWvcuHGDK1eu0NraimmarK2tcfPmTV588UXefPNNZmdnWVtbIxaLPdaQ93mI8NEoWCL0VdTPfCti4y1EU7dFnZLNI+CoRTc6EGv3oWUIUfK8l9U9sLuNyBaS3MV+srtR/QzE1lH2c7MkClK4UMOF1llG0zeCo/5E460UIoTH34vwU5/6FJ/61KcYHh7mE5/4BL/3e+++l+IHEechwiM4aJGjadqx9gNC2DHNJEK8t95YB2M9qYKVTqcJBAJsbm7S1dXFpUuXTj03pZQEnrVk41KCdfCbL8zPY/v/fgtnOolt+AIslYfN8oE5nCMfIn/rSFWhlGiJHKrdidByKN1jaFOh4na7MWz7SecH0JUqYIvszAyeC5cwF4/meI0g7wbILG7gqmuGqDVXS+kcRN4LkJwM4Bvox1i1VvsZZoEkmskU+Zo2bPY4aIWwn9LcTiZUDMlJTSsYjNY2IKN75DeP9BY8GPPOHtnWXoTLjcxmypenis1uU/f8+C5fwQzcAUUht1w5BGjr6iEdXCO2p1JzYRwjWKIYaJXVO3t3L9ngMnuf+h1y8/PU/9D/hnLC61dVVaqrqy3hFinlsY1/vV5vWRXjo2j2/kEPEZ66gmUaKK/+KuKN3z4kVUI/cp07vBjbKkqqEApXZFFxNavHEVv3EblCzpVZ04eaDmJUP4Oy9BJmz/MQLyhYRs2HUKPF3Eu947tPPOzHqWAdRaikWGVkZORs2jIc+Fo98HanP5RSnK033hnBu6nOE8KLaeyhqA2PaVSVcRIvrHw+TzAYZGVlhdbWVp5//vnDJP/TxnEq0VnAwdh0XWdtbY1gMEhLcBLvfosWbX4GV98Q5tqRMJSmkc24kAjLzBfA2NnCduESLNwkn7T+LkYkjG30AoQKM1qlsZXEXNE6Ibu0gaO6HkqsC3LbBddzmUmjN3ahKmGEWbw2czv7Zp2GSWY7hbOqBrnfSkdU15IOFHO3tLUNbGMjsLRP4qqbgWJyLhTCdfmqVlzddWSPyetSqmtI3pnC1duDuhMEvajkKbX1ZELWisrk3QLJEvkkOX/lCl3c+7Nw3SB2P0T15cuY83cRLje5pfIKTQCcRZuQ5Jf/nnwoRPNP/RS2ptNxfhdC4PV6LXYkBz5FB6QrGo2ysrJCLpfD5XJZEul9Ph9Op/OhFKgPeojwVBWsyAripf8HJfi5w49kVTNKdO7w/43GpxALtxFaYRIkfc0o8UJ+lVH3JDINtkyJP11tJwadKEsvIYWKki3cz3rVNQQGQhbuDb3uWczGrzvx0HVdx+22phGkUikMw3ikRqPvF5zcyf08RPjIcfQBZrfb3wXBEoAd06jcF+5x4UGq9HRdJxAI8LWvfY10Os3169eZmJh4ZOQKCufpLFs1ALzxxhuF5tRDg9S/+dXiAinRknmkzaqKqP0XSd2+j22wclguNzuFMvoh8kvlZCI3O43SW8h1ktXtYBYJmplKIr1tmPs3va1nGG2jqFhpKyuInmKfQ7WzH22j+LA3onEMXxvsE0fR0gNHQmuZmUAhnKiqFvWqFNrqJpq743A/R6G2dxUS7IPLyPZhy3pKS2fFfLHkXX9hbJVwVNmSEL8TQAxeQenshwr3okQ5zH87QH4hyPpP/xTpu3fL1j8tHPgUNTU10dfXx8TEBM899xwf/vCHGR0dpba29lAZfuWVV3j55Ze5ffs2gUCAra0tUqnUA1VefdBDhKemYN35HPyHf4pIWycNorEQHpQIjIbnMfPuQ3IFQFMvAolRfx25MInwFFVKiUAKO8pSwZ5BNl9G5Pcwqp9BXX0ZYRZ86wzfBUzv0/AQ1eeVIgCJRGFydU6wzi7OFax9CCEOH3zv1l9KUasx8gtIpeo9s254N2M1TZPV1VUCgQBut5snn3yS+vqT5QKcBGfRqiEajTI7W7BV6OzspK+vj8Sf/gH5I42Uje0N7OMTmIGbhQ9UG+m1wjqZ4BLOmgZk7EhTYtMkl7YjbXaEXt54Obe+g7OxneRseWVgbiGI1j1A1U4A3SgPd2WmZ5EdnXjCqxhqudFrLriEd2ICM3j30Jj0KJL35/E++TTmm8cQEbud2N15vIPjmPP3yxbn9+KH/07PLuK7eBG5eB+ktCw7us/o7QC+4QkM/z3LIlt3H/kKRq2Ju/N4nrwKNrtFJQOwdfVanOkPYCRTbP7ab1F143kaP/K9CPvjecTZ7Xbq6+st95VhGIcVjMlkkuXlZVKpFEIIS++5tzNJ/aCHCB9awUpH4Qv/Cma/BEJBRPyWxULbRtq9GM6L4L+D0mttU6XoW+h1zyECb4LNafHGMpq/Hlvoy8WVXQ509zOoyy9h1o+iZkKYnn7EVgD9ysPlKlUKEcbjcTwezyMJTb/vcO6D9f7BAxl4qj2YeT+q85gk5UeMtyMvUspDE0YhBOPj4zQ3Nz/2GfG7cUx/XEin0/j9fnZ2dujt7SUej9PS0oK+vkbi9TeRQkFI61izczM4WzqQu2sofZfQbhdChjKTRnYMwRGCZeseJH57Es+lixj+22VjMOMxjIHryFC5NxaAbW0Dc3CUbKX2NFIi99LIpg6y/srmoKn7c3ifuob+5r2KyzElmaiJ2tSMsVPuv2XvHSAzuUjiXoCaK5fQ54okS21tJ71s9apKTgaomriMiG8d6whv7+4jOxMifneeqkuXMIOTRaXLfkyuo8dD7K1ZnO1dkNjAVpLvJdyVuwjYu7rJLKwS/asvkJmcpvUn/w8cHe0V133UUFWVmpoai8JgmqYlr2tzc5NAIIBhGJa8roMQ4wc9RPgwCpYM/jfEX/0LSBaMbEX7ECJWvB9ldSvCyKBrXYjNKaSvASVStFuQNV1IpRkR3L9P28YQiYLdiV7/HEJPF9d1VIOwoyy/XPigugkzn4e9LczGZ8DzcNdgJZuGgwT3D/L1cQBpKsgT5GDJ8xysx48HIViqqmKYNRj5VVTH25TLPyIcl+S+u7uL3+8nl8sxODhIR0fHezYTPgsKVj6fP2z109bWdthDcXl5GdM02fvd3ya/FMJ98XI5KdI1TNWHcLpJLVj7A+YC83guTGAsFMmMli/MKNNTs3j6yhPPhctN/G4A1/AldH+5QiQMg7yoAbsT8uWVekomQ847iDSjFXskIiETk6iNTRi7O2WLldo6klMBHM0N2L1eZMpqUqpli0+d2N0AtZfG0OYLLx5R0wCUK2OJe368156AlcqJ8UaJR03ifgDf+DgyNA1CIbtUOdfL0dVNbjJIdmkTo8pDfWsdxuZ6ITy4doxTtbtYeJJbWGT5J3+Gph/6AWq+6b+rvP5jxnH957IlzvSlJqlCCFZWVshkMu87k9TTwEkULJmOY/zNr6LuvHFIrgCExwElArWsH8ZYuofIFa4/0dKD2Cn8W6ouTN8g6uJXi9vbDvKpnoPlSZTa4nPXaLiKuvJSIdyouhHaBjKpo2R30fs/8qBfuwyVQoSVPLDOcbZwTrD2cTREqGnloZ3joNrb0DNvYJqNKMrxjY8fBY4mucdiMfx+P7FYjP7+fnp6et7zVhvvpdmoaZosLS2xsLBAdXU1169ft5Q1K4pC9o1XyNwrkKrsfBBHXZOlfQuAtryI44lnMV67WXaM7NIqjqpaZCJaUK9mlg4OTj6eR3VYiZKtdwTjlp9McBlnQzPmnlVFMp0uMtMhvEOjmPPlYTypKGSC63iGLiH95csLBCqIo6UBu8uFzFoNTpXWLtj0k9/cxTbYDdngoWO9WldPcqFopIqE2PQK1YP96CshssuVFSqEIDazhm90An3WqpwJt5vMwpHE96kg3rFR7KpB/phG0nqueF2riQwJXVI9MITUNHJHWw9RyInJr1nHJ7M5tn/rd8gsrtD4Xf8UW83ZeyEJIXC73bjdbotJaj6f5+bNm3g8HpLJZJlJaqnadRZNUk8DD6pgmZNfxviLT4DDjsiFigsUFREupARIoWI0fwhlZwORKzEX1Qr3oXQ1YNCOWhJOlK5a1NgUeu2ziMU3kd1PIOKvFcZY/xRKevNQ+TZbriCyEZRkANPdjtn2TSf9+oc4LkR4rmAVcFaT3M8JVgWcpMefcFzFTH8VxfffP6JRVcaBOpRKpZifn2d7e5uenh6uXLlyZmLz70WS+0F41O/3o6oqExMTFbvOK7pG6k/+sLhdLgu+TjhCsJTqWmL3Q9jqGpARa0jQTKWQHSOQiKLlrbeUvrODY/wCRmBfFbPbSSwUQmxmJoPZ3IQUu5awZK6hDYKbpCZn8Y1fwAhMW/aZb+lALu6Quu/HNzKMGbLmlSitnbA5T359B8dYH3KxGPZAKKRL2vKkA8tUTVzA2FfSREsHbFr3J3WDxHKE6vHL5G5NUQn27h4y/g0iu1HqnriEPltU5uxdvWQmg2XbpGYW8Tx1FeFcK/PUUnw+MkdyrMxMluj0GjXPXIEKBMve1UOmwufY7YS/+FWiX3mFth/9KDU3rlf8DmcNDocDRVFoaWmhoaFQrazrusWZfm9vj1QqhaqqZbYRHo/nfZ+/9W4VLJnYxfiLX0JOFnKi1JEJWCuG0EX7ECJ6C+lpRBddyJ0wara4XNa2o0bnMat7MWIC4VYQyRKVtHUQwzQRocIESygF1deofxIzlsIuC5WIUnGApqFECmTO6P8eUB5+gnucgnWe4F7AebPnM47SWYDdbieVKu/t9nZQVTu6vR8j+Qqq79nTHt7bYmtri4WFBdrb27lx48ax/l3vFR63ghWJRJidnSWbzTI0NERHR8exs7zqW28gw1bClAsGcI9dxAiWNHtt6sW4N499cLCMYAHk/HN4nnqOxOvlOVfp6Rm8Q8PoS37s/WOkbgeK2y0t452YQJ/d99uy2zE3i3GM9MI6rvpGZLgYltNTRiE0KCXp1T3cpaRPVUkvFcOYyZlFqq8UCY+9r5/0tJWEJO7NU3PlItrcFNn18u8GYKazZDJ21IYGjL3ydWSJZULkVpC6q8XcLS1bebIinA6itwK4Wjuxp7cwS3qo2Tu7yd4vd2mXUhC5v4ynbxyxEbSqc57Khov2nl7ys4sY2Ryrv/ybxF9+nbYf/wFstWf/5XS0itBms1FbW2vxPjJNk1QqdUi61tfXSSaTSCkrNr9+rxXtB8E79SKUponx1n9FfuGTkCkWWIiUNYQsXCpm4yX09SikgoVK2vXi9SUaWzENL8baJiKXQjS3wn6KlVQcSF1BWS2QK+lrQY1OFmwbQjOI/isQLihjet2z2Pe+erid0fe9D30OpJTHEqzHaTJ6jgfHOcGqgJMoWAA25wBGbh4zt4rydu1LTgGaprG4uMj6+joul4tnn332oXtQPSo8LgUrlUrh9/vZ3d2lr6+P3t7etzU3zYVCOGfnkUI9bHVxuGxtE7unCplOoLZ2EpsskKJsIIB3/CKaf7Jsf+ndLEpVDeaRSkSkJLubwO6pIrVanqOUmpzF09uLsRrC0T9C6k5R7TEzGfTGDhQlijB1bJ3diEBRgTKTKbS6DlQ1hjB07H2DpCeXLPuP35unZnQIbWEe3aysasbuBal56gkyb5Z/LwDF4yE+GcReW4WrpgYzVvyOwuEgNW+1pIjcDlJ/9SLG5grphaWjuwPA0dtL5n6IdGgDZ1sD7gbnIXnT0pVd4h09PaQCq8SjcVztzbircxjbW4Xw4Hrl8KXkSGjllTdITU7T+uM/SO3zIzYobQAAIABJREFUz1Tc5qzg3VQRKopyGCos3S6dTh+qXTs7OywuLqJpGh6Pp6wP41lRu4/i7UKERmgK7bO/iuKxIUrIFU0diGhxEiMVFRMPZsB/WFghktZrUqpOzOB9hGkgFRtqtKD6SrsHve4p7KsvFldu7sGUTcilGUCgJmcKNg++pxEUTHalUNB7PoL0Pvx74OBddJQYJxKJcwVrH1KeUME6DxE+fjxoDlYphPcbkZFPI+3fi1BOPxnVNE2Wl5cJBoP4fD46OjowTfPMkit49EnupcapByqe01m5EfEBpGmy9Vu/iW1vDzEyDMEZy3IzHkdcuIAM3EFTa8AsGnJmQqs4qmsx40WHZ8fgCJH7QTwjg3CUYAFGOIzjyafQ3ihXuDBNtISG4naT3kqUf7+VNbwXL2DO38N0+oDtistl4B5apoJSaEIitIOvp4/4fGWygylJJ8De0Y5WIYHc3tND+m6Q/HYEpbMZh1fH3Fd57b19pO+HyrYJ316g9tnLsPNWxUMa+aIfVG5jD6Ouiqq2dsxUkuziMYakzqJnW3Z9l7zbSd3QCDKXJVOpUbTdRjZUvi8jnmTjD/6Mvb/5ezp+/PtxdXdUPt57jJNWEZaapLa0FHo8HpikHpCuaDTK6uoq2WwWp9NZRroe1iT1NGAYRrmDeSJC/q9/B+P1L4CUqD3WCj21vgHW9tvVVLVi1I6hzLx0uFy09CLihbC7VGyYXc+jzL54WDAi2kcQsTeRrnp02YYijjy7VBUZnEWYOrLrMiL1JnrNs7ByB7V5v3NCzTOnknt1cA4Kh62cg3UOQCqFvwfe7vSHUopzgrWPozL8SdvPKKodw3cDc+czqC0/cFrDQ0rJ+vo68/Pz2O12JiYmaGxsZGlpiUgk8s47eA/xqGwaDMM4JJt1dXVlCexvh+gX/oasv5A3oS+EcDQ2Y+5aiUt2ehrPk9eJvmZN2jZTKUTHMBwQLEUhHS6EqtJzAaoujqP5j+QqKQqx+S2cQ8WKvFJoOzt4n3yC1BuVvalSU358ExMkJgOVl0/6qXrqSRI3K+dImeksmrsJxRnFTJe3t1F8XuLTIWxeN+6Geow9q9KWixRL0rOr2yh9bah6IXdKzx7/lIothvFeGCc3bR2X4vORClqJjx5JEMu5qLsyDBU8uqSikj3SasfM5Ni7t0Lts1dgZRN068vQ3tNHvoLfmL2lhcz6Fvn1Lfwf+3kav/1baPneb0c9Y+H10zQaPTBJdblcNDYW+1JqmnZoG5FIJNje3iaVSmG32yvmdT1O0lUaIpS6jv7636L91f8LmcJERNQ1wfaRKt1U4Rox259EC65g81gnLUp1FSQLieu6oxflSKWu4jSRvna0lAdiSyhqMTxvtDyNErx52E1B2LWCT9biG8iuq4jUGxj1z0J4A7PzdCpXDywajp73RCJBV1fXqRzjHI8G5wSrAh6GYAGorgGM9C1k+EuI+odLepdSsrOzg9/vR9d1hoeHaWtrO7zZHnasjwOnrWBJKdnY2MDv92O327l69ephEvC7gbazze6n/7DkAw3hqeWoMoTNRmo7Bw4H5POWRRm/H+/YOFpgCsfgGKm7xYd8amENV209ZrRIUhxDYyRuL6Ins7hq6zCj5aQ4tRHHMXKB/Nx02TKkRDOdhRDkMYQ6l1FQW9sxNitYGCgKscAWrqZOWAnCEcJr7+5B3gmiRROonkbs3lxRoWprI7FkDb+lFzfwDfeipnZIBiu3snG0t5JY3iS7AvVXx8nPFEmWvauL9N3yxHcznSW+nsY9Okpu3wj2AM7eHpL+8mNJIYhMruCo78ElE+g7OyXLKj/i1MZG2DdilbrBzme/QPRrr9H+Yx+h9vqTFbd5L/A4jEbfziT1gHStrKwc5qUe9ery+XyPbIwHBCv/xpfJ/sXvY3frh+QKQG1ugeUSot7cCdkt9IanMKbmwOFCbBVb4SAEIhpE1g+QDxuws3CoOsF+LqGWRIsqiNQGdIwgkrcK56T5aUBFmIXohvQ1geJDLLxe2LUtjVH/IcTSa+jXfgFOiYhWqiCEc5uGUkjzZAnr5z5YjwlHk9wflrSImm/D3PwVlGQnwjd2on1EIhH8fj/JZJKBgQG6u7vLHmRnwWPqnXCaSe7hcJjZ2VlyuRzDw8O0t7c/8Ix69z//CTJjVXFyCwu4xy+izRVzkOyDF4nc8uObGCM/U27amV3dwF5bR3I9avncTKeR7f1wQLAUheRGIUfESKaQrb3IaNTSx9DR20d4Zg3F7cJWU4sSs+5TuFzEZlZwNNYjlRjKkfOpeDzEppZQq304K3hbOQf6SU2uou3FqL08hjZrVZQy28WwZnZ9F3WgA5FfRmoaorYOlsoT25P+ZaqvXYatu1TS2pW6OlgubBe+vUD91YvkZwrnV0tky9YHsDfWkwqukqJAyrS56cN2QtJWOezr6u0mGVhDj8TIup3Uj4yRn5s5NjwIkN8tJ6nazh7r/+nzbP7J39L5Q9+F7+JwxW0fJ94ro9F3a5KaTCbLTFIP/vuwzd1N08S3sYD+7/4z+eV5lKZW5I719xQZqyebaOgiH8rBRoFUqd39sFkMUYv2AaTbjhYMgZZD6R5GRIsN3WXrOPr6FCJXUGwVjwpJMJqfwVhewF5VvK/MhjHUha8VtqvpKKSELN9Eqi6M4e95qO9eikoJ7nCeg2XBCasIz53c3wMcqEIPI88rqhOj9juQ259GOH8K7O++43kymcTv97O3t0dvby9PPvnksQ+r94OCpSjKQ4+x9Jz09/fT29t7omqo8H99geiLr2I/kqgNkFtaxVZVjZmIo9Y1EJ0KFY49OYe3rxdtOWRZ30gkcAxfQ3v9VtlxMoEFqi5NoM3dO1SvDpAOhKi+MoE2UwyDabKQr2dmsuSrGnCqCUQJcXb09ZO8s0AmtYbS34Nr1Rr2svf2Yt5ewNwJYx/shnTAYv2Qzxev4+jdIPVXL5CbLihljp5uovNWA9VUcI3q8QHMpSCphWO8r4D44g7OgRH04JxVFVMUSzUjQPh2kLorF5E7GyQr5UsB9tYW2Irvr79AzYVh5FoIQ9PJHEOWhLuYl2VmcuzeWaL20gVsNkl+srwS0dbSTHZ9q/zz2ppCf0YpmfvJj1Nz/Sqd/+x/wtX93jjBw9nqRfhOJqnJZNJikup2uys2v343yAdmyf317zE0/RYHV5WtqQFKktNFQzPshAr/46rCqB9FLC9DvEiehVKiPCs2THcLxuyrxY/cKuzPZcy2pyCZOCRX0uFGCU9itFzH8N9D6Z9A7BW2NZqvo4RLfLKaBhGrryCkidH3j8F1eq3I3k7BOidYZxvnBKsCbDbbsaWxDwLVO4bpHUWGPokY/L/fUTLOZDIEAgE2Njbo7Ox8V8na7xcFK38kxPZukcvlCAaDrK6u0tHR8a7OyXHIb22x9R//ADOTQe0aLiNYZjKJOjqKmZhE1rUj1/ZDWKaJltLAboeS4gfF6yV8ZxHv8Bg5f3leVWp+EXdTK8n18v58ickAvs5O9I1VHJ1dhGdLQl/be8iRAcTi/gNcUUiUVB+aC+uYg30oy/skSxEkV4svlXRgmerL4xj71gy25iZiR6r8wncXqR/tJxdcsFgslCI+FaL2mStkjskLc3Z3EA3ukFnfpW5iGG1+7lBtcvX1EJsr96SK3AlSe/0ybN2pqM9ntq3KXWx6GVdHM7pbooY2y9aXikpmqZwARu+H8F4Zx9nfS24hZFlma2yECnYU9s52siUvzdirt4m9fpeW7/7HNH3LDZytjWXbPEpIKc98L8K3M0k9sI14O5NUn8+H2+0+JJH52Xuk/vKPIR1DrFtDxCKxZdFJ1aYWWFqGzktkVyIoiTS2aAlxdvsQW/v78DWh2dpRQyWdExwuxO40EoHZ9iGMrS1seuhwsdI5hGkTmP67CECRhWvTaLmOzOQKIUTArBlA2bqDMAqqrHHh9HJvoXKbHCkliUTiPES4DykV5AmS3B+k8fpJcHbv3MeMo0nuwOkoQw3fjXTYYOm3j10ln88zOzvLSy+9hGEYPPfcc1y4cOFdEYn3A8E6iU2DYRgEg0FefPFFstkszz77LOPj4ycmV1JK1n71NzD3Q4PpWT+OwfIQUGZ2Fsfla8SPGGPmN7dxDFpDvWrXAHoiRXJpE6W6fCZpZnPI5h6y2+XhKKnr5PMK2B0YzvLE/PxcCL29kMCab2lB27USj+zyDkpT4YXmHBggv2M9RvzuPPahQn9MpaG5PIJnSmKhMI6ebuL+Yyr2gOROGtfFC5UXeosP98i9UOF4+/eRtB1fQRsN7KD2DSKOtHxxdLaR2yhv7ZNd2yWdc+Ls6ylb5urrRo8nyz7HYSc2HWJnZhv76DiKu5i8nt+Llq8P6Il0+YemSfilt7j30Z9j4Vd+n+xaufL1qHDw8D8rCtaDwOFw0NDQQG9vLxcvXuT69evcuHGDixcvUl9fTz6fJxQK8frrr/Piiy8y9fk/Yf3nP0b04z+NNnUb1W29NpSWNuSuVfUUegq95QkyUyFkPIat2lpJrXb2gqEh2y6RjdhAtUG2eK0oXQMgTYzGpzFm76M2t1jC9lL1Ye53SpB17SjhGYyW65iBuyju/XWqupGuNkS2MAEyOv8Rsvl0c/iOm+ifK1glOGj2fJK/R4hzBasCFEU5tsffA+9LdWDW/4/ItX+PsvGXyLZ/crjMMIzDNi41NTU888wzD3zDvB9ChA+Sg1VaLelwOHjiiSceKIH9OOz95RdI37fmHeW2o0iHA6VEXRMOB8mtDMLtQmaseULJyTm83V1oayvYmpqI3C8oSEYihWjvh7hVERM2G7HAJu7xC2Qny/2lcutbVD85QeSYyj99O4a9thab6aDMNCSvEUuZeG12YpEKxACI+deo7ukhPl+5b5+RzpL39KO60+j5clsSe2Md8fkVEiY0XR0lM1VUFITDQWLe+sKL3Fuk/vIo+lKI5Hxl0ubsaie6sEtmHar6O1FjWxjJQl6LWlsLS+UES7icmCthdkyT5qsXyE6VFAEc0yja1ddDfDoEwN6dRZxNdVT3uzBSyYokST0IDx6BrbH+sD3Q7hdfZvdLr9Dw9ddo+1++FU/Po7V2eD8TrEo4apIqdY3Uyy+SufMq8q2iz5QUgvzKvOXlJGpr4EAIFgr0P0EmNA/p/WtfCNi1hs0FKYyOZ9Cmp0GCarM+JxUH6M5hZHAaBIjE0v7xFcyuD6PMF60b1KYmDBowA3fBW4fYvYv0tmHEJaqrcM0atU9gdP8Pp3KuSnFciDCZTJ4TrDOOcwXrGJwmcVGqLkHdh5A7n4e91zBNk5WVFV588UU2Nze5evUqTz/99IlulgPy8qilzofBu1Ww9vb2ePXVV5mfn2d4eJjr16+fCrlKBxfZ+7uXkEdaI+vhMEartczZNjBG0r+Eo2+wfEemiZYXoNowq5qRWvE7peYWcI6NW1Z3Do+S24kSvx/A0V25nDqTNHANDR0z8CxKWy/p1fLmygBqNIHoH8FYq9xgWeY1MvYqzLdp1ZFYjaJ76lFc5cqgrbWVgwSYnTsh3GNFxc810IORKU9UD99dxDZ2EVOrfO8oVUXVK7GwQc5Vh62+FhRBeqWyOmTv6UToBpiS7bdCqIOjhfGqNjKhyo2izSMGgrmdGDvTWyid/ai+8pCoo6Pt0ISyFM62ZusHpsnel19j8dc/w/TP/BqR1+4+snvvYL9nOUR4EhiRMLE//QwbH/tBor/z6yibVm82R28ftry1CEXbLRD2THUbCUc3qXi+SK4AW3cfJIv3gaxtRU+qaFMFcoXHC5slIcf6bvT1XeR6gZSJjgFEYgOpOjDqn0TouUM1SyoqUrFjBu4VQoVtPeCqxUi7wOlBiU5jVF9ARqPI4W89xTNVQKUQ4UGV53mIsICDXoQn+XuUOFew9nF0lnjqylDzR5DxGfT53+BO7jvJiCbGxsZoaWl5qBnqwczmYfPFHiXeKYyZTCaZm5sjEomceoNqI5Mh9G9/jdzqOlWXLpCbOaIWLS5jtrWhbG9gb2snvG8dkLg/h2+oj/yCdVacX9+g6ukn2X3lPkeR8K/grm/ACO+huFxEgwXCIA2DfFpHOB3IXFEtc7S1EJ5cQPV4sPl8KMnyUFcmnsc5MkJ+poJ1A2BoKs4LxYT1o4itRjBUNx4lg2JafwNXfzd7s4Ux1o51YYYWionqikJyqcS2QsLu5CoNo/1k5xfIp4//PePr8cKY/X5L4ruwqcQXrXlUmbU9jPoq6i5dIHpr7uiuANCz1mNFJpdxdzRT3VlH/Fb59xZuJ6lgZeIVCexg5N3UX+giOzN3SKr0ZLk3GIAWLf9NpBBkVjbRInFib03h6mim9du+gaZvfg6bz1NhLyfDger7D0HBklKSvX+f7Bsvk/rK34Gx705eX4+xZiVYqttOqd6ttHbgMCLo7Vcw5wIoMoGCldxnyXNAm83OS0jVB8E3D5fbunpgbf967riMqXpQll4vHsPrQGZ9GM4BzMVZ1LYSZbT7aaT/VQQFrqbouxhaHSK2ihi5hJHpQ+7uIS9/BI6pdH0YGIZR1v4sHi/IeaUtkz7IOKu9CP9hTY0eEqdlNloJ4XCY2ztPE8/nuSx/j+evXaS1tfWhH54HROQshwmPCxHmcjmmpqZ45ZVXcLvd3Lhxg/7+/lPtlbb6m79LbrUQIksvrKAeVQmlxMibYLeTNT1I3Tz8PB9NI47mfCkKsdUojgrO32Ymi/TVIxHYB4bQY8WXc25zF0e/VakyfLVggpFMY3hrkcJ6O7q6O4jPrRK7F8A5VK6o2epqiEwvE7m/iKO/t2y5q78bczeJ2I6j9vWXLY+mi2QvOrOKvURJcw/2kg9bDRqlYRKe38F9cZTkMQTG0dJAIrjO7t0Q9sEhhK34W7oGetDj5eHMfDhBKufAPVT+HdSaKjKL5UnsmbU9EikF94XyPDpXbzeyQsjT0dZMdn0HLZ5m69Yysr0PR0fb8eHBhjoyS+XhVU9vJ1qkWLiQXdsm9O//hNl/8zv4P/EHRG/Nnoqq9Q8hRKhtbhL54z9i9cd+hJ1f+WVSXy2SKyhMMixQVcyN4qTGVGyI5m7SEZXcbAAk2Do6sSeKRQpSVXHH1jAcHqJVQ2SnF8lsHTGXzUdAKJhd18jNBlGSJUTf7kSkNtFFJ+ZKEKV7EJEqhP3Mjg9BLlXi8j6KmVYQ4VWkww2ZTWTCAC2Fefkjp3LOjqJSiDAejyOEONMdPM5xTrCOxcO0yylFPB7n5s2b3L59m5qWy9T2fzuO2lZsU78IRuV+aw8CRVEeW6+/k+Lo+EoT2PP5/GFSv8Nxuq2Fwn/3IuG/+1rxuKk0SnOFkvvdPeyXnia1aH2Z5rf3cAxYSZFrdIzU4gZ6ToK9XDFMB5ZwXbpMdKacgMTv+3GNFAiBaKwnOlWcueur27jHrSFG01VMfk8s7RTK1Etga29H6ibSMEmsx1Eb6izLDbVIDpMzyzhL9m+rrcZYsyZ7R+4tke8snJ9kunLVp5nXyJjuY1vL2JqbDv+9d38JpacfsX+eDLMycVacdiLTK2xNb+MZH7Esc3R1lpmiAiguB7HZFTZuraAOj6B43MXvrVXO97MfOT/x4CY7i3FsQyOoFZSnsvDgwbG9lVWq/F6M7RdeZfKf/yo3v+fnCP3e50mvlFc+vlu8XwmWHo4Q+9Lfs/Evf561n/hxYp/7LMbuLo6eLjg6EUxZizMcPb2QToJQ0DtHSZiN5BeXLPmQtlprUYi9dwClsZu8Xo9jbQOlpRV3shhW13zVmJE1Io4+tKlp9Lom2Cuxe+gaRYvbkVuFe1bdv5SM9g9hbKwjtguqt3R4kcKD2LeGEF1jyIwdkdpGDn4L+I6QxVNCpRBhIpGgqqrqfdW4+1HioIrwJH+PEucE6xg8rIKVTqe5e/cur732Gj6fjxs3bjAwMIDa+X1IZzPk1xC3fv5UrGRPKyH/UaE0T2x1dZUXX3yR7e1tnnrqKa5evYrXW9km4GGQXlhm+2+/UvZ5amYe55BV9ZB1tezcXMDe1lq2fmJyDkdPoXpNraoi4i+oKdn1bdwjI2XrA+Q1W7lSdrC/0BaGx0PG4UEcETkid/04BwpKk2isI7zvwwVgpDLoqqdgFQHgdBCZLSo7ejyFZqsquM4D9qZ6ojNW1/PwnSDO4QJhtHd2gFGusuSDYZTRIfJL22XLAFAUIoFNwuupcn8oRVjDikBkegXR0YO9oZb4fGXVyzPQjZHJIQ3JxlvLOMfGYP/FkY+kKm7j6u/G3A+37t1bJqPW4OrpRPF6jg0PZjYr5KqZkuhKlFjajmt8DOEoNj3WYuXHlkKQWa3godVQSzpU/D1y22FWP/O3zP/KH3Lzn/0bQr//lyTmjukDeQwOTEbfDwQrv7FJ5PN/xcrP/DyLP/ijJL/8ZXKzVusScWRCqTY0Yqxbr1HFZUPpHiVf1Ud2ZhVcTsxwSeGDAHZLCigcTkxnDem5VWS0MGGwN1o9qFw9g5hKK56dwu8maouqT8LXTmInAtHCMaTbB9uTGO3XMefuo7a1IaSBtHswqi8gNgumpKbNg8wkEbHC+M2rp2vNUIpK6R+xWOw8/6oEByHCk/w9SpzNpJ33CEKIw1njSd3cS32bWltb+fCHP4zb7bau1Pd/Yk7/NEpyEt78OeS1X3qocdtstjOvYGmaxiuvvIKu64yOjp5KePQ46MkUgX/1K+TWt/CNDZH1W80mM1sRVJcLmc2CopDBh5EKI5vqkEKxGHRiSvKpPNjtKB096HeK9g2x+36qB3rJlvgsOVqb2bkdxN3WDDZb2YzdTKWxj/aTmalQZWdKUltxbF4PurcGpDUvKLOyRc2lQfKzM9DRhjGzVb784gC6f6bQQmTN2qMNKYnOb1DT00U8VF6td7gaHryDvaT8ofKF7Y3kFwsvsp01g5qWBsytQrjGPdBNeKY8pBadW6P+2hhKYgFDK8910nLWScb27RB1o33YzQzxY0xOjbz1es/sxMiGBa3PXSD3RrnrvrOrjWSonDTaG2tJLW6AlGy+FcLZUE/9QA3azm7l8GBfJ8lgeTjR1d5Cbqfc78xI50gvrrO8uM7yH/4XnM11NH3jNWouDlAzMYzN5y7b5gBnyWT0KIx0mtT9GVJ3JjFjEdKvvGJdwbSq/4rXg7YUsnzmaGvCSBTPsdLVTy5uklsoEmThc0FJpNre3Yvcb30juobJxQzUmamiDYkAwiWkrfcyxvoWcm//eldVPPu9CmXXVeybMRy54rjStfUkzVqq5+4hhUBG5jFtbnRHHzaHgjB1TMWB7LiGuvF3hXPR+03Q/ujaKx0XIqyurj6z18c5CjgnWMfgQRUsXdcJhUIsLi5SX1//to2HhasV2fbtyMVPIzKzMPUbyPH//cRjPcteWIlEgtnZWXRdp729nZ6enkdaFSVNk4WP/ya5fafu3Fa4zHJBD0dwXRojP3Mf2TuAPlV44GZCa9RcHiM9aU2Ez2/uUP30FXZeO5Igb0qysTTC5URmC7Nzs6oeqSdIr2xSf3WUTAV7BtO04704SupeeYK2FonDUBeZ4AaVHp2x+0Fcw73kNspf5gCxyQUanrxItBKBA8ychu6qxhSVw9/CphJb2EZLZWns7yK9YN2Pw1VFat/6WmY04nsCX2Mt7EaJHpMoDhBfi4GvFofTgRYu2lnY66qJByoYks6uUfv0BZxtsswbS63xkaighklDEllNQlMHbjVPrsSOwVZTTVmvScDZ3kx6u3guc3txNvbiNFwbw1OfIO1fODRPhUJLokrQYuXJ8LYaL8kFKxnLbUdITC+w+sdfBEXBN9RF7ZURaq6MUD3eh72qqOaeJZNRLRwl7V8gv7pG4tU3ycwXCyJ8A1YlU/FUIFPdXejzR+6fREFRVHuGyGUUMJ2Yi8VKPynAEbP+ZjafCzNRhdk4QHbaj3N0BMLFY9m6+2BnBuxOzNZxjGgaW7hI4my9A7BzF7PrGvmpKRzj44ilA8NeFZ+vFoIF7yujtQdbLkCCdpybIXRNAWxknCM4spvYAKPhMnL4Ox/wbD4YKilY5yajVpy0IvC8ivAx4miSezpd2V+oFAeWC8FgEI/Hw1NPPUVdXd07bifavgMz/ApqZBkR/E9ItRZG/9cTjfsshgiz2SyBQID19XVaW1uJRqP09fU98uOuf+bPib1++/D/tXCUqolRMlPWh3tyapaqiQl2bltVnvjMAu6WJrStkpe6qhJdieHq7SK7aCUc+e0w1RPDZKemcQ/0sj1ZDAOF7/hR2xtxbBfzQVw9nWzfX0KoKrX95fsD0AwVersgWDmkpBkKhtMFVL4+c3mBo6OVzHyo4vJMPI+mOLF53RgpKynyDvWwc78wpvByjNrutkMfKHtDLVG/ldiY6TwZm4f6gW6ywco2C6Kx+jB06GjwUd3eRG69cH5dna0kdhbKtpEIYgtbaPEsjcM9ZP3Fc+Hq7iAdDpRtY6+vJh5cA1OSsKu0XR4lM+PHNCTp1cqKXe5IIv8BUhtRUstbeDvaqWn2kJ4NIqV8V+HBA7i728nfKx/nYWWiaZKcWyI5t0T45jTJwBqu1gZ8Q134hrpROxsglUKaJuIxES1T08ltbJNb3SC/tkFqJkDGv4C2FwEFnLVejFiRkNobaskvW69hZ28H+pHOBkK3Vv2pjQ3g9qE3DJKcLhAg79iApXpQdLSjlnpbqSpSqGSzXszpguO+YmQs29i8DqTZQT7rQp+ew31xBEoiw4oTjJaraFNThcbPkdD+F3Ehu59EBF8+XNdV48JIDuFeC6L0jaKGb5GpuoyS2MJhrJCwdyK348ykG6jy+w+d6b1e76kS40o5WOeNnq2Q8oRVhOcE673BOylYUko2NjaYn59HVVUuXrxIU1PTA0m2YvjfIG99FBpGUeZ/F9MwYfyjJxrrWVGwdF1ncXGRUChEU1MTzz//PIqisL6+jmmaj3RGvvOll9l7qbwvYGJyDk+Hi59bAAAgAElEQVRvN/mlYuhA2Oyk0ioSBVHyiJZ5DVw+pNhF7IeL3WNjbN1cwNXaUGa1ABC/56dmdJBM4sj1IkGkJarPe2immReFcmtpGKSjWexeD0aqSJQcTXXszm+BCY1jfWTmj1RDCUEmnMPImbirfRhHXcwVhfhqmHwyS3V7M/l1qwLg7m5lN1AgA1UD7ZBbs4Qxc5niv/V0jti2SnVbI7mNXRztLcjNI+MBtHia7EAnrjaTTAUvK0djPZnNwnfM7yXZTdmoaq2HzTDxjcoeXt7+diLzhQTxrfubeAZbsa9tg2mSq5AbBQWyltophHClZrB+M0R1bwfVLV4it8p7EjpaGkgtl4/XWfJ5ai1Mai2Mp7WFuoFmEnfKWyIdFx7U0+VFLI7GWtIVWvuo+0n62c09spt77L50B3tjDexFefk3/wZXawPu9iZc7U24O1tQPS7sNb7CX60PW5UHxW5D2FSUIy9jU9Mxc3nMXB4jn8eIJtAicbRIDC0cx8zlyIZWyK1uktvaBdPE0dyAuXvk2unrQguFjnz3ZnIxq0+boh8JD/q8h308hdOJ2jOEaXMTu1tssiycTvRlK9FWXMWwmNLQAq39pO68UfyspgZztaTjgs2GVG2kNzKQixZC9Jslv3tVHXosj7FaIOu2nn7YvQ/uanRnBza9ZMJSVY+RzB22y1LUNGbTh3CE7qCOjiNT4Ipp5J76Xto6Okkmk6yvr5NMJgtNqvd7Nh70YfR6vSey0Tlo2XY0RHiuYL0/cE6wjsFxBEtKye7uLn6/H03TGBwcpKOj42SxcLsX2fvDiLlfR3pqEYt/hlRdMPo/P9BuzoKCdZDAHggEcLvdFiXvoBrzURKs2J0Zgp/8D0hNp/rSKOkS13FMiZEzConT+0TUPjDM7u0g7gu9GHNWlSG9sELNlQuk709hb248VHSym3vUXRkiPVke2jOcXlIVTC/1SAJ1vB/DP4tnqI/NyeI6uZ0o7vE+jLli/zu1uRXWCiQmthbFU1+LHi5W+3mHe0neL8z4xWAHJNOWKjvfSC9b9/ZNGdNuHDU+jJLwlfBVAYWcqURwnbqLfeT8AYSUuNqbiASsL38tniblqMLTXE98ubx/3wFSGzFy0Sz1ve2kQ8WQjLCppFeOkKisTnIzQ81YH6n7x4Qyj1SUpgMR6oa7cSoa0UDlvKzsXrkaFQ/tQE0dnkujZAOLmJki6XG2NJLaKG9j5GxtIL1p/Ty9GcXW1EhKraFhpBl9be3QquG48GBqoTxXy93RRP5I2yMpBOnl8mpDZ0sd6b0oUtPJrGyRWdnCXleNFk2UmaJ6uprIru4TIiEQqkLNxACJe3OWEGfN5WGS96w9/qonhkhNWj3IXK0NpI8QLJvHVdZRwExaz7ni85BfspJwR3cnMryNrG8j6V/FvLOAp8taEevq78EIlKjMNhV1Zw1pd6L2jJGcCuKtsh7L0dmODO6P0e1F6Z8gXULAHAP9sFogcaKlD7OqBWO+6H2luhWobiKvVSF3t7Fn9n9Hpw9aRpDB/1bYtrEdKeqQi7cL/QvTG5gpFWFkcH3o+2gvqfaVUpLJZA57MO7u7rK4uIimaXg8nrLm1+9UOX0wcT5XsN4eZ7UX4TnB+v/Ze/MgSfOzvvPzHnnflXVnZd1Hd3X1NYdGGjRj1hjCa3YNrCJ2YzeEkCUHxEaIDdsYWLRcy4I5wpaxEWvEBoElkHdXhgVC2AbsYKSRhND09FnddXTdVZlZlVl53/nme+wfb3Vlvvlmj6TR9Mwo6CeiI7ryvd988/19f9/n+3yfrugGSf1E7sVikYcPH1KpVJidnWVycvJbL5Md+W6MzCsI6TsI7STGjf8DQ/IiLPz9b3gX7ySD9Qhwbm5uomlaX/PUR6DqSZmhNg5TbP7sJzDO3MNr+ynkYACt3Hkht5InBK5epHH/Pp4LS6TPUoONzUPkoQHEUysIqKzv4R4eRPMMoLc6oKhwd5vwhVlTg3IWks/DyYMkesSPq2pP25Ue7DJw7SL1gl2jVHywx+D1i9RW13EORcisdlJh7VINPToOpco5MGzUOt9zZTvJwLUFGl2DY6PSYdeap0Ucs2NQa4Kq4gj7ya5ZAU3h/j6D15ZoPNgwbR4O7X36mtkK7qtz6I9xWvfNjpN7aA50uSOdwbmJ80o+/8LkOUDtDkPR0PEQvLJA+Z6VXTJkidK2XWBeeHhM5NlF/PMOqtvWfbrHhygf9ql8lCTKO8e0y3Xc0QCDF2NU18+++9P+PQmb/T4XBaoHadrFGsev7yHIIoPLizhkjUpXteej+Lrpwa7wzU1Q7aMpU/sAN298hFLBypa5RqMdcAUm+NJ16tuHFnAFmKm+ntAq9uOohZ71RAElYQWMjmiE9lHP9zA5Qfvh2QREknDMzKEabqqJGhya98M5PoJ6Yr1eUVfofoO5ZqdR1CbqSQXuPkRwu1EPrf1BhWrONP6cmKd+2sTd07xdFloYgDBzldr6Pt641uk06AtAq4JSdWCUT3BcXIbkDfCGaEtjONJdIDQ6ibFjivjFqSX08ilUDuGFD4HbqrMVBAGv14vX62VkxLRtMAzD0vy6XC6TTCZpNpu4XC5b82u3233+/nw0BvUTuT9tk9OJp0aj32bRzWDVajVu377NjRs3CIfDvPzyy8zMzLx1HiTLvwA+L4Z7HCEaQ/jqz2Dc+3++4c3fKZH7I4+ve/fuMTExwUsvvdS3OvARwPpG+xF+M6HkCuz9m8+iVTppI61Swzlu97uqrm3jnp8nt9Wlx9F0VFUw0wldobcU5NgUhc0eFsIwqGfKFt+lWjhiphOO8vhX+ls3tFXRkn7rjvz9fVzxcaTh0Y7R6VlUdlO4LpjWCt75Scq7VpCTv7OL99LZ8tkY5b10z/bHuOZN6wfXZMzS3udRZO/s4L16keJm/56FAM26iiJ7cITtxoaipyP8VhsKpzsFfAuT5t+PIVYFh0RpO03q5gG+lUWLIWlgcQpa/Tc8fZjieD2DODcBUuf15Rjsr3sMLEzQPjM3beaqJO6kkGZn8S3P0kjadVnu2BCNpL01kX9uwgKODFXn9N4hdd2LGh3Dd3kJx0BnwPum0oMeez9F13AEpc/5tSv29Kh7ZMD2mW8+jtYD9t1jUYvwH0wNVfPQ+r07R6MoSSuj5pmJWyYsAO5YH58wtYUcm0BcvEyNCKWDEtXVTbqFUq5Bq/u4WWHYYb3k+BS65EfdOoGz63XPxqGrZ6g8OoqeO4HZ61Q2jzHaKlqiA2iFYAjjZBd96hlqq9vII8MYmQ4YlOILtI7LGGUTTEvNDPijKMYgotcNVZOt1eMvIiTOGj7LboxGzaxSFCR4zzdmLCoIAi6Xi8HBQWZmZrh8+TIvvvgiL730EsvLy4TDYZrNJru7u/z1X/81X/rSl7h9+zZbW1ucnJwgiqKNaXlSDNb3fM/3cOXKFa5du8ZLL73EnTsmA7i1tcWLL77I4uIi73nPe1h7TOeIp2GNpwxWV/SK3BVF4f79+6RSKcbHx3nppZdsLQvekpBkjAs/g3D7x0ENI4QF2Pq/MZQqwnP/8Otv/janCJvNJltbWxwfHzM5Ocm1a9dwOByPXV8QhCdihtouVbj/T34FpVCy6JwAKmvbBC7M03jYzSIYtJxh2vWeCr1sCe/1Jer3OikKRzRC6vYB4StLVHpSKkquhHdpEnZ2MKJhWnsdxqOwcYRvZBAl3RmkBYdMMVVCdLoQHPI50/Yo9LaK5vCca456I39nl8HL8yit/vevsJYgNDluMRa1bL+6x9CzFynuPt70UlHAPROn+sDOuriHI+Q2k6CDfyKKI2Sce0TJPg/5HlNVTVHJbGUZu7rE6R27gB0guDBJ5ozZSt/eJ7IUx8ikUasN1McYhfpmxylumwChtH6KOxbFodQwinXyj7FzQLK/4nLrKSLX5/GtLNI6SKBWujRwgxFqCXsqVHT1T+W08lWqyTzVZB5EGFicxeN3UN+xs3aPTQ8e2L8Xz1iUdg+r6hgI9RXTt3N2xk1y2a/bNTxA+8QK2jyxIWoF63Hcw1Hqmd70oMueHix3jiuPjiIMjlA7ydJM5XmkLA9cWaS1ZmXD1Iz1GtzTcdSH95FGxtDcESoHx7gk6/FFtWkVs4+O0UpJtO+Z6XX3VAx9u3NtrqlJ2qUw7Qcmu+scCGCcna4wfQU9l4GG+b1LsTi08yiKHyN3jBQ+az8Wex+i0IZWDUN0wNR7EA7/0rz2Zz+EGP7Wmn07HA4ikYilKErTNGq12nmKMZ1Oo+s6r776Kn6/n89+9rPE43Gq1ard/uctiM997nPn7Xf++I//mI985CPcunWLH/mRH+GHf/iH+fCHP8wf/MEf8NGPfpSvfvWrb/nx32y8W6sInzJYfaLdbpNIJFBVlXa7zYsvvsjKysqTAVePInIVY+y7QT3BkANQWcdY/Qz6V3/j6276dqUIVVVla2uLL33pS+i6zvvf/34uXLjwhuDqUTyuXc6bPpdanQc//mvU95OopSruyQnbOs3TIkJXE2PnwgWyNzYJrlywrVta3cZ15mKOIKAFB1FrLfIP9nGNDdnWr28eIs9NI/qiljSM1lTQnR7oarDsX56nflKkepjGd7FPE2lAd3hwxe3XcH4tDZ1mpb+1gt5WUUUn1ZP+KS8ARTFwjj/GaVoQqJyUSa8e4b0wbVvsGB08ZyCqiRyqJ4AjaNoJ+OYm0BQ7uNcVjXpbJrhsb9EDoKrWGXlhM0XbHcA3F6O8ZdcuAUg9DurNZJlGTSb4/CWMkj01azgkCpt97BwQqCZypG4dUG7KBK4sIp4ZjDaO++jMZIlKHwDnHhmgetDFCOmQ30hRb8sUqiLy3Cy+lYVz1u9x6cF+Gq52wS6a904M27RXrrFBmkkrGBEksa+HVzvbJz1YtuvW1HzPepKIcmS9j3I0DKKEfOEySmiC/F4ZpWnQTFkBnNGj0XJNxdBy1nssCCDMrVA+LFLb2MMzG8foYqukcLAjgJdlxMWr1HeStFNd977SmdCIE7MomSLtR0UtDgfG8ZZ5oNlnaVdaGKed65EGB1GqTozcKcLQKJxsoMXeh/bwHlI9gSHIaJEriC3zeNro+xCu/Le2+/ZWhCRJBINBYrEYS0tLzM/P4/F4eP7554nFYrTbbT7/+c/zhS98gY9//OOsrKzwgz/4g3ziE5/gr3q9yN5EdPc2LJVKiKJIJpPh1q1bfPCDHwTgAx/4wHkh07sl3q3Nnp8CrK7QNI29vT1effVVKhXzxXDlypW3r9/TxR+HwAiCUYLIZURnA77yL9C++OsYbwBOnnSKUNd1Dg8PefXVV8nn8zz//PNcvXoV72M8gfrFW8lgafUmm7/821Q3O2mF8v0tvAtWG4h2roBnfg4A78oymVvmS7q4sY9z2CqyNVQNzZBAlPBeunDOyuhKG93hgj7ifMkToJaxD1DVvWP8K6ZbvBz0cdplvpm9tY1/ec6yvic2zMndfXKre4SuPibFiExDMfVe/UJ3edC8QURXf7BbzdbIPEjim5+0LQssTFBNFTA0nexmGu9c/HyZ6JDJ71gZlspRDs0fRA54qWX72xwgCJQSBRK3jghetbYbcg4EKTy0g6jacZGWJ0RgIW5bZkgSpR07yFHrLWpVA8+FWZw96UvfXAyjD/hzjIdpZEww2q61SLx+QNMTIvT8Cq3Tkm39wNxE32bQ7rGo7TOAdqWJrmhk11Ikbx5xeqoiLy0hBIN4ZyfOWwdB//SgeyTStxqzX3rQM2xPjfrmJ+zpwfEhWj0VpY5Be3rQNTqIkuqTHqxUkQejuC5eQFq4CGMz5Daz5G/v0HzkkN+wHtMxGLFZODhCHZ8vaWAAeeU6pbUDqvd3zkG82GNG65oYA0NHmphB8cVoVxT0LtbNERtDTydAEBHnr6E0ZbQujZdrbgZUBT12lcbqOo5gZ9IlDE/S3tvBKJn7c4xETHC1eQ9peg6jeIw+dB2hWUJIP0AbfQ+G4EaI2SdpTyI0TcPhcODz+RgbG+OTn/wkr7zyCvPz83zyk5/kl37pl5ibm+OLX/wiv/Vbv/WWHPNDH/oQ8Xicn/7pn+bTn/40R0dHjI+Pn+tnBUFgcnKSw8PDr7Onp/EUYHVFs9nk5OSEK1eu8PzzzwNvfxNl47l/gyDXEGiCN44wfQVh/f9F+9yPYij9jRyfVIrQMAwymQxf+cpX2N/f59KlS7znPe95Ux3c3yoQqFZq3P2xX6WRPMXoseJUClWEnlRO+f5DfNcuc3K386LXmwqCP2Dbvn54jO/6ZdL3rYNOde+Ydo/eRA76SG+kkYcHbfsByN7ZxjMbN1MVVasHUHE3g7NLM2T4Q+eDS+buPs64lWnyTo+RW09SPykgjY3YjucaDJG5f0RlP4NrZtK2PLAYp3KUw1A1Ckd53DHr/lU6bJuuqOQPC7inxgDwL02ilOzPXfkgizw5QavY34sruBCjnjZBTPL1AwJXFkE0z8sbH8Ho06YHoHpSJnn/mNDVhfP1AcTxCGrPfQRTy1XcPiazmqDSkghe6gLZWv/ZabeZ56NonFY4zdZpBSL4l2ctmjDhMVrLRsYOxpyDIbv7vA6GKJN8/YDUepZy24M4M4P38hK6biD5rCDLPTZo32+0f3pQ6ZcedPZJDw7af7OePhoq17Cp5xJkCefEGO7lCxAZpBUYJ59ocHr7kMLqAe2MVafmGAjR3LcXHlhCFFBTCeThYcT5FUonCrqiW0CwHA7aTEppVRHmr1LeStM+PkX2WCcRzmgQwR9CH1mievchzpB1EiLJOmpghtbmQwSPByNpphWFiUWMwDBUzr5Hpwtdd6Ftmp0AZLeKPvI8+u59pEEf+sgz6DsPEL/zh2z37UlFPw8swzCoVCrMzc3xfd/3ffz8z/88f/Inf8JnPvOZt+SYn/nMZzg6OuIXf/EX+fEf/3HA3g/zSVfffbOh68Kb/vck4ynA6gq/38973/tehoaGkCQJURTffvsDzyD6hZ8EuYhRPwVBBgmEdgb1dz+IUbOnMJ5EirBUKnHjxg1WV1eZnJzk/e9/v6068JuJtyJF2C5WuPuPfoXKgx1qO0cELlvZnlYmh2/JmoJzDIQp5ezfYXXriGDP9oIsUTyp4Ryyi4aNRB5PfOz8b3liAqVUp7h+SPjqom19dANNcJLftutr1GrDrGISJXwzMU5XOzNBQ9VoFJvg7cyyNbnz/8JGAseilYVyjg2fi+Nz9w9NMNMVba3zM1drLerVNo6oKcj2jEXJrVvZJNP/qo5rbJBG5fENyduqgO4L4IzYGV5Dtg6CqZv7eBdnEZ0OKil7qgrANz1KNZEDAxKvH+CemzpvJaM/5vEOLsbPAaxSbpC8k8RzYRZPfJhyn0pEJJFmn+MbgkAjmaeRqZC8naAqexFnxxA8Tkrb/ewWBqn3EcP7JoZsaTyAZpehqdZqk984plpWSdxKkC8aqAMjuJbm8V9ZAknGNRqFLpDnjtnTg+7xx6QH9+3n27d6sFQGQcARjeCem8Jz6QKq6EIfm6HU8nK6XSJzL0nx3i6trspK9/iQTSzv6ZO+1IvWY7oWFzCiMQqHVUr3djFUHb3Yo/+aHLX2Z52Zp5ZpUL23ZfrKud2o+13VhJIIukaj6aG5c4DgdKB3id3F0TjNVOG82tE1MwVKE2H6MvWdE8RyV6ue2WtoG6ZJsTg4jG4E0HfuQSCEobbRDnYQYhcQ599ju5dPKvq1yQHTB+tJVxH+0A/9EK+88goTExPnkhkwwdXR0RGTk3Y2/J0KM933Zpo9f3Pj2TdbBPAUYPVEr9D9HfGXmvo+jIFrCCEvKC2EwRmE9A1oFVH/3cfQDq2u5G9lirDRaHDv3j2+9rWvEQqFePnll9+S9jbfaoqwmcnz4Gd/g+pWx8agun1oqdwCKN17iDtuaqkkr4emGKC4eURg2ZqmAihtHppakrPwXFyi8PAYpW1g9FyvoWooqsmY+BamSN/eP1+Wvb9vDjA9oWgizvEx2+cA5Z0UgZVFFMEunm4XamihEIYg4JsZtwGg0loSYcpkoRwhH5n7Vn1M5tYu/ksm0PTGh8n3VAc2cxVUh9c0qxwc6PRx6z6Hch3NF6RZUewLAUfQS249QfkoR1t24xrsVDQ5wz5ya3btU3r1CPfFedrV/qBN6mGWTtdSKE4f3oUYaqq/vkxT7SefWU2gRwYJXZoxdTddEVzsVBV2R3ghhlbuaqdUalFYz6GMjGGMDUAPayKE+ssGWvk+1grjUWp9LCQkzxlwNqB2UiSzekQhVeHwq7ukD2oU6w6qngjizAyqw4338hK+y0v4Ls3jW5zGEx/FHR/BNT6EcySKczCM/+IMkseNa2wId3wUz/QEvkuLSKEgnpUl3CsXcV68iPPyCpW6SFn3c5pscvIgQ/GkzulrD6nspc+rTQML9nSjZ9g+sOtlK5vnHBuinToGScK1uIgRm0PVHJTv75+zte7YsLlOd5yl6qSRUSrhCXTBidbVWskzN4mhnD0/kozj0jNUVvfQz9zl3fNTGM0z8frsMoQG0fOdSalYP4XZZ6iv7eCciGFkkxgIaPHnId95ZsWRSfRtc/CUphbQkylQFcS/9faxV9CfwYInU0VYLpdJpTrvij/6oz8iGo0yPDzM9evX+f3f/30A/vAP/5Dp6Wmmp6ff0uN/O8TnPvc57t27x507d/ixH/sxPvKRjwCcFwE8fPiQn/iJn+CjH/0o8LSK0BK97Iwsy+cmmW97vPAbiH/+3eiygF6tms1FqyeoiZuo//FX0a//AI4XfuD8PL9VINhut9nd3eXg4ODxTaq/hfhWGKzK5j53f/LXbWkOrd7EOzVu6W2HrqMbAjhkjNEJKmcDff7eNoHJcRpdmhOt0UKMDUGuiG9xmuTrZ/5IySy+i3HaXe1ZAOqJDNFnlygeWmfduqLS1kUEp3ye7gguz5K6ax575NlFince0htKo40q9NdMtY/yDD+7hNKn3B+gdlRkYGIYZzRM4XW7u3p2PcnATOzMTsLOXtQSWSLLcfK7fbyjzsKQHTTaAu7hCK2MdR+B2XGqN83jVo+L+IaDuEciNNMFfNNjlG/azwmg2dRRPH58AQ/1Lhd30SmT37KnwGrpMvLwFOLkIHpPg2pHyNdXywVQO61S3s8QmRvHJajUzsToj0v3Pa5K0Ck5yT1IIzmdRC/EMUpFlOM8tZSdSXYMBq2i97PwjISp96wvyCLlHTvD5hkO03i0rgFqsUHd6SK/Yb83/tgA9ZQV2ESjDooJa0o3en2e4l3rszxwbc5WLekdClE+tp6/JNtn+JY2UpiO+K0j67W4x4bQhwYo72ep3DtCdDpwunoE+kMhWl1ic+f4MFoxj7R4meLqHoauY7StujNBMf+Whkdp6R6kitV0VdLqaKKIOHuZ6oMdvEOdIU6emMDw+WmsmlXBDp+EnpPQxq8jtGoYWfNcjJn3mKaiAOFRM6XYqkFsGWHlb9vux5OMft6BzWYTRVHelFTjjaJUKvGBD3yARqOBKIoMDQ3xp3/6pwiCwKc+9Sk+/OEP88/+2T8jGAzy6U9/+i099rcab1cV4RsVAfzFX/wFYBYBfOxjH2N/f/8pwOoNQRDO88vvGIMFIIroL3wS4QsfRJDCGJkTjIE44twIeuIByp/uoh/ex/kD/+u3xGA96qW4vb1NIBDghRdeeCLU85tlsE6/fJu1//230BotlGyR0OUFqg86xpSV9V2Cy/PU1jtpgcbhMYH3PUfqi6vnnxmajqrpZtpF7ZxHbTsBM6Ok94sWJqe2mSQyN0Ft18rEKKqAGPBDjwN47eiUwWfmqdzdRHQ5KB53UkKnq4eEJkctbt2CJFIutGgW63iGw7QyfQw+Sw2bo/n59SgaLV2idtQ/3aYrKi0F1OpjROiA4HQij42gVA4sbvBgslCZBwn0toYwHMI1GKKVPRvMBYFyouf6M2X0qB9/bJDyY9gmR8BDdj2Jpmi0Am6GFycon/U29C9OkukBAY+iflqllioyenmGdip9zkD5pkep3bYDOW9skNK+CRwLOxkEEcavz9NKZij2qVAUnTLFLTvYcfg9FM7YP01Rydwztx19/iKS2qbSOEJvdiZgRsgDp/b7XevTDii4MEFx3S4Sbmbs36d3PEqz5/nwxYeoJ3qsDBwylR379TVP7KlMJWfXj7V6LBxEl8PW7NszOYqStP4mPKMD1LNpBFnCNTNN23BQ2s+jZDoAzjc/QWuzy1BWAPW4656LIo7xGJX1Ftqds3ZH4wMYuQ6wlKMDqIcHyEuXKa/tI3p0xFznXOShKHohgzG6SO3eQzxLsxhHZ2y/7EAIDtF4cJYCDIbQU1too1dpP1zDuzwNgD71PJLQBqWBERhBGJ6GvS9jRCYQX/zg29YT8lGoqorLZbVfKZdNtu6tZrDi8TivvfZa32VLS0vvKluG3vhWjUYf3dNH4XK5bPf9UXzoQx/ilVdeAeDP/uzP3rAI4GmK8A2in5v72xoDFzHmP4wgZhFHJ6FWRRBEcHtxxMZR/+pzNH//pxEzB980eDEMg3Q6zZe//GUODw+5fPkyzz///BPL63+zDJZhGOx9+vPs/PYfonW1N6kdpJED1vRM4ziL2FVd57l8ieRfPbSJhetHGYIrPalCUaBeF9CEnp+CbtCstBDdHYDjn49zfHOPerZ2rg3qjuztHQJL0wQuzlHvEkDrikqrqSN6OvsKrcxTPsqhVBrg9iI47MxK25DIbWfwjPevVnMMhDC8fosguzukSJCGKiEH7dWegiyR289xev8I//KMTRjvnx5FP0sT1TMlWoYDZ9R8oYeWJqil7SCqkauiBYKPZYOCc+NoirlPpdIkuZEhfMWsqGw3+jPF/ukRameaqZPVBA3BRXDB9B9q5B/Tk3DIOrM3dEjePEAYGyO4OIkgWb/r4MJEX2PQ4NwYumr/XakqJG4fUdOc+FfmzZ6OgoCjaX++5eEgzZN+mq8+1xofoubTvkYAACAASURBVJ6yg7FWzm7Z4Bm0D66hxRhaz3X4p0dopq3H98QGafSAM//0qJ2lnJ9Ab1pTxO6IvUDAMAycy5eoSwNkVo9Ram0LuAIQe0R03tk42plbvHNhgXYkRnXzCK2rz2SvhZkrPo4xvkDpzjaGouKdHjvvcGAuj9HSgzS3TaAuieYzJfiDGKMLtLc60grXVAw1skR7ewMpOgDJDfSp52k/fIBY2MPwDaBqPsTcQwz/ELpjGOn6d9mu/UlHPwarUqngdDqfiA/W39SIx+OEQqHzf7/8y7/82HW/mSKApwCrJ94VGqzuuPKjEF0GPQleN3pbQBieh9QtpNll9M1X0X/34wxuvPoNA5hischrr73GgwcPmJ6e5ju+4zsYHh5+0wL2byS+GQZLKVa480//JTu//f+hK6rFsVstV3FPWl3a24Uy3hlTcOm7conj13fRlTaix43Rc035ezu446OdbSdGUQ7LuAft1YCNkzy+RbMqTXK7KOcVDB2a2RLeKbtTPIaBoujk9uzpo/pxHt/cNGCaNp52mSKW9tI2vygpPkB2M4Vab9FWBWSfdTYluB2cbpxQ2D7G38e7yhnykl5NUDsuIIQjNvuG8MU49aypF0rfOSB0pVMcIMgS+T0r61FPF2kLTpwDAfQ36Pml6iKniTLhC3ZPr0raChQMzeDw5iHh5y5Q3O3fhqe7rB+gnq2S3MgQec8y1WQfzypBoHRgd0AHaFZbHLx+iDEwSOjiVOc89P4VUUo/rZgoUN43z1WtKxzfPiC1cYpjfho5GsE/M2rRfQV7K+kAHFJf4bwctoMXx1CQ2pH9euopOysl9BHTufoUIHiG7JMoV59jC0bP71WAVioNgoBragLXpWXEhWXSNw/J3to7N5919VTxyUEvzT0rO+nwOXBOT2OMzZJfTSB7vaiFDmgXvR6c2U5vRcfSRWoHGbP9z1kY+Q5IlJcu0dg9QsueabiiEbTDbcShMVp6AMnlgPYZWHS6aVeaqHsmo+aKDaPHn6G9vopzfh5DbaMSQR4MYihNNCOA9N7vRehjWvuko58Gq1QqEQwGn+j7+tstvlUfrKOjI0ql0vm/n/qpn/q6x/xGigCeAqw3iHdUg9Ud3/m7iFIbQaojVHbRjw9h+m8h1g9BMHAMBpm+/5+o/87PoJ70b54LUK/XuXv3Ljdu3GBgYICXX37ZfAjeBtr7G01jFu5s8to//AVyf22m9+pHaYIr1qq40ur2OfDpfLaF/4VnSd7oOIdXdlJEeir8DFWj0VTQBRHH3AS1LXMWXd4y+/r1Ru72Nv6laTwLM9S6jDxzq/uEr8zb1ldwIkUj/a0b7u4SuryAf2maZtHKvqRv7Xb2Jwg06x2wXDsu4JoYtYBFKTaAclY9l7m7T/ia9Vx8M+OoZ+1mirtpXNMxi5dXJW+1PDi+tWdaIwDhi5M0+oi1aydFhMgAlYydUQFwRwOk1xK0G22S6xkGLne+o+DcGOWEnZ0Bs1Wie2rcNsiLTpn8Q3sVpqFDta4jDg/hn7IWF4QWYn2bPrsHgxTONF7lZIGjuymc03FCF+L2dkiAeyhEccd+7MjCOK2CnTkTXS4Sr+9z/DCH6g8TuDxPYHGCRtrOXoWX4qDYfwvlPo7uYtjOPgZmRm0pQ8njpNIL2gSTte2N5kkPMBWx+W7JPo/FjV70uAlcWUIcGaPujpLezJG+afZktBxSFmkeWFOIvqlxjC4m0BmP0WoY5DfS1PbM70R2W1lY39w4oqYhDQ1jjM3Rqmqo2c55u6diaJk0gtuDOLeM1tQsVYvuiSGkyTnqp020XB5KZ/fWH0Gau4J2cFaJ6HSi46C9br5vJKGB6hhBP00hagU0dwxUFfmF77Xdx7cj+lURVioVAoHAY7b4GxpvFlydAaxgMGj51y89+GaKAJ4CrDeIdwWDBeBwY7z0SUSOIDiCHHSiH9xBjyzjmJmDxH1qg+Oot/4z1f/r56j98e9iqB1g2G632djY4Mtf/jKiKPLSSy+xsLDwRBovPy6+XopQrTfZ+Be/x82P/SruUWtKrPxgx5bua+XKCN3puysXyWykbUxNYW3ftj81XST07DL5XStQyN4/xBuzMw6Gw0120z74FTZTlj5w4StznK4nya0d9QVrALVshWKmv3fU6VoCb3yYwIUJlLQV4OTXEkTOAJjkdVE9sGpojm/tEzrTkcheF5kN6/lmHyQIXDJZstBijNKBnQFJ3dwjdHWeesnuN/UoRK+bhu7ANWQX2PriwxhnVX26qnNw+4iBa3Pn2/XfoUhx75TTzWOaOAjOdtjF0NIE7Vof7ytJpLCToXCQ43i/SOTaPOJZilVw9i8a8McHbUxV9uEJTcmDe26CQNdx4fF2C/2MXA0EKked+9nIV0ndOqDWEsme1HHNThK6toB/dsxMT/ZhzAKzoxhl+7Uqp3YwK/ntL//Q/Di6Yp0MBuZiKHnr9r6pUVppK9ANzMZszvG+2XHcU+N4Vi5AbIpCWaDREsnc3kd5BDBFaB1ZnzP//ISlLyiAXjOfZdfsFMLUHJo7SHWzw0SJHhet3f2eC69TG52gfFyntpPE4bG+q5whN/J4DMU1QPXBLrLU9Z4WBQTZQfVhCqPexD07jZ5NIwyMomh+qHYYQefSZdoPzGpBeWoatSGgnxwhz82jG36M4z3k7/qfEOT+z9WTjn4pwkcVhE8ZrLc3SqUS3//938/ly5e5evUqv/mbv2kpAvjUpz7F4uIiv/Irv8Lv/M7vAE+rCG3RmyJsNh8/2LytMfZejPl/gPzw06jy80hTEbRyDrUtI8QX8Z4kweNHaGSp/Yffo/m1/4Lnv/9RMpFRdnZ2CAaDvPe9730iDUK/kXgjT7Hc62ts/Oq/pXHWZqN0fwfP+ND533pbRfR6MBDO0yCt0wLha4tU7m3gu7JM4jWTuYpeX6B4t1Oxp7fa6E6nZVtnOMDpbh7PSMRS9aUrbXTZaTI9Z2DQGQmQ2cninxqj/cDaV09ttBDGB0As4gh4yOx0Ztgnd/aIzo1T7akUEwJBmrkastdl0/1orTaKKqCX+7Om6Vu7DF+ZQUOnctfehPp064TI1AiuSIDS6/u27U9u7zP+7ALtxuO9reqlFlIgANiZD9njJL1+glJtYgwG8I8N0DgTcAuSSK4nrYgBBzcOmHxhkdP7/V2fBy5OcLJqMh61bJVGsU786iy5u7u0m/2fl/CFGOlV8/oN1eDgxgHhyUGCPon8w/4NqyvHdlE3mIUExR3zGRi+OIkTlfJ2inofYCO6HH3F8JGFMfIP7VV+zoAbTdE43ews80TDNBQIXV1AUNu0cmUa6QLOoD1F5xwLoxz3aN0EqPQxHFVbfZpL+930QnlXxEfz0L4e8RHkUBDVEGkU6lSqBpWHnWdAdEjUd63PXGh+guaONfUnO6BbteUcjiA4XRCbIbtugrGBZWsPP//8BK31Tr9P19wUjVID46yaUvR6UPY6xQyCywmSg8pRCaOtIg+EaO+d/TYlGdflq1Rv3uyck9tAH52mmakjhWX0xK75Ppi5hn7WANpwuBBcHvTd++Yypwt95w4MjCG/7+/b7u3bFW+UInwanXjka/VmtvtG480UATxlsN4g3nGRe08IL/wkemAZsX0HAwe0q4heH3pZQZNcSLExjPwx7sVFtNQB6c9+EvVf/TwrfhfPPffcO/qj7MdgVfeS3Pwnn+Dm//LPkUMdyttoqx2PoEfrbicIXbGyQqXVbfzPXyf5Wgf45O5s45+36n8aB2l8F6cBc5BUAxGqqQKqZtjE5ZW9E8KPjiMIiIODNAs1sqv7RK5aW9wAlHeOiVxdwB0ft7iaG5pOvdjE0SWGD12Ik7p3RCWZxzfbv1GseyiM6vD0s6Yyj5cqUi3196bSmm0adZVSvj9DBlA5raI6Ht9T03A6OLp9SOSKvYdgeGniPC1Zz1YolzW8EybjF7kQp56zpxUBmoqBZ3oc2WMXv6s9ju66qnNw85DIs4uUD+0sG9DXfbl4mKfl8hFcmkT2Wp+dwMww1T7icd/4wDm4AsisH5NYP8V/bRFHwIsgWo8TWRxHbdjvvdSHnRMkkWIfk1l/PMrpeorE6/sc3UmSOarQdPmp1XX8l+YIXV0gtDKDf3oUOeK3+XiF5mMYPdow0euk1useLwpU9jqASHQ5cA6GMDSDwMoC/suLuBbnMcZjnGzmONkukbh5xMmtA5qlJpVta5ovtBhDrVntH2S3deCXvC4aOyZ6E90uvJeWEMYnOb2fonLWaNwZ8dPoAWU88q0Kh3AsXsBw+Wl1acz887Hz3oRSMID70gqlW5vnTdO9k8Ng6IjBEMbIFHqxA0qlSBhdF2kki+jVCu4BH4YgwtRVaDcxsscmuJpeQd8zRfDSpRcwdu5g+MJIf+cfmADxHYrHpQifAixrvFud3J8yWG8Q75oUYVeIf/d30f/930Gsb6AHFjBSqyAM03SO4NRUiM+h7d6mFRnFd7oPsYso//JnKfzt/wbP+74Lz+Wr78x5d4nc68kMqc+/yt5n/xzj7LPGSQ7J50Y7SwlVdxKEry5a2KjK1hGOSJB2oYzgkHEtzJPdzSM4pHNjRAyDVqlus2Oo7x7jHh2ESIT0XXMQqB6dMvzMPPnbXeXjnGmlpsdwhIMc3ejMnHMbSXxjUVtDYKXRph8pVM+UGLo8RXttF0GWKBU6g3P67gHjzy1Yju3wuTl+mKFZrONbGMLYs4ubvRPDpHezSH6XbaAFs2S+kK4h+1yoNftyKegjefuQ2OUpCg+sA51vLMLJg6TppH7niImrMxRWO9dfOrGyOs1iDUPXiUyP0Go+Xl9XOilTShQYmI7iaTVonPUv9AwGyW30Z5yaCuiBIIFhgUqXaN0V8ZN93DaVFqmtE3xRP0OXR8mvmtfnDPmBPvdyNEI5addIqZrA8d0UwbEBBibClLcSqLUWumpPcQuy2FerNXAhRvaBXQ+p1u0ALRCLcvrACmgEARwhL21VxhX04PJ7cPqciNEQPqcTQRQQBPOfHPCgVeromk67raKqKoZLop6r0PY60OttjLKGb8BP/pb1nAaWJ6n3FAUEp4Yo3rUyZ70yTdHloNFjYRKYi6HlsghDI+Q3UhRuHRIcswIB//QIjfsdsOsciqAkj3EvL5NfT6CfHhAYtAJWo2qyj66FBcqHecRM1/mKAno6iTwxST3bRKg2ESqd58M5NUN99R5oGqLfh5bYxphYQdnYIHBxDM3hQh+YwUUTwzAwZp5FqmfQnR6MgQWcL3x379f1toVhGG+YInwa7/54ymD1xLuuirA33AF4+ROIcg1JOkWYeBZ5wEMwv00116akGOiyg2BABklCrOcQXC7qX/xP5H77X5P4px+j+uor6Ep/FuRJhSRJKIdpVn/ut/jq//hT7P/efyCw2Gnqq+TL+OesrRcqW4c4o52KJ63exDU6iOz3IsbinNzep5Y4JbxiFXg30wUc01ZNjdZUcE3HSd+zDjCnd3YQR61VVYamIwUDHD+wDuRqQwGXy1Lm7/B7yCbLVE8rtoo3gNPVAyLXFohcnrWJvE/uHBCc61QjBpfiNM9YsNpWnsiKVcjvivhI3kvQzFXRPB7Enp5zklMms5ujdJTDOTZks2/wjUVIrSYwdIPU2jGhnko/13DkvEuJoRsk7iYIn51D5EKMUsIORlrlBk1dRnkM1T6wOH6+XX4/R1URCM6YLvS++FD/Cj5JIL93SilZIH1QIrTSeS4C0yMYmh3o+Mcj5LdMoFPLVdm/lcQ7H8cfH+zbrshA6M+QiQKFM/PV8nGJ/RsHVFoikcekViOLE7QrfXqE9ikccUcD50J7y+X20XWFF8ZpF+ugQ6vYoJzIk989JX1nn5O7RxzfPiR164DkzX1KiSLJmwcc3zki++CY4uYpTpw0UxW0QhOjdQZ+HX1MQ9v294DFuBeQfW6qW9bfTWghdm6fIjgd+C7O0hZcnB7VydzcQ621CM6Oo2R6THnzPa1xpido+wbJ3t5FbyoEFuKohc7x3bFh1FwOeXGZ/P0jHEEfylEH2HkXppCGx6js51CLZTxjETAMM823dJXW7u65lYNnPo4enUV5+BDnxBha+gh9YAa9UsQ4XMOYeQajWkQ/2UMPzeB47r9CcPS3HHk74tGEtB+D9aTb5Hy7xbdaRfik4inAeoN411QR9oQ49R0YCx9EMg6huktF9VEZnsBtFPFlTpEnr0OrhvviMnohg3thDjQN2aGiHOyS+Ve/RvJnP87Jb/xr6qv3nmjjTqVY4fDf/2cOP/4pqv/2z0n/5WvnA2Q7W0DsSgUW7m3jm++ALq3exD080LO/KuLcArkuXUvu7g6uCas4vbl9jL8rDRe6usTeF9aJ9lTbGbqB2mgjujuDnDPsJ7NfINQFAB9FaffEUj3omYlRz1Zp5Cp4x/s3fi4lC5T66Kp0VaOSb+AM+/EMhzm6ZRXHpDdPTLH1WXgnR88rA5vHFXzzccvxwsuT1M+8obKbxwSWrI2fXcOR8ybLelsjs509F3c7Q16Tveq5N8nVJOGVaTT6e20BOAJeTrZOGViZ6rPQCgLruRrpgyLRy1MU+wjtAaIXJs7TjVpbI3E7CbEBXGEflZP+JqbekYjts5P1Y9q+AIG5cZxBq3XAwOJYX51V9EKMZk+VYLvRpqlAYquAPDFK9NoczpBZ3ddrAwIgeZ0U+mjBglN24bzokvuu6/Da01IDS+O2xuGeoSClHgZNcjso9WjFRKeMemIFTpLHQfPAqrVzDAWo9VQehubHztNxj0LQNTwzMdzLS1QND/lEhdztbYtZrzNgvQbv5LBp8wC4Z+IY8Rkq28cWnzCHw3p/nOMjKHKY0qopA3APdmwnBKcDPD5Kd3cwVA3B6UBL7IPDCVPLCKraaeHjcqOWmyg7ZvWgc9CPHp5BPdjDEx+GqSso6w9wBEX0kYvo1QrOl/4e72Q8Alj9GKynVYTWeAqwvk3iXc9gnYXw/p+g7pxFcOwg1Y4QNRHR6cA9P0t74xZqYAZ0FWl4DG37Hs7JKdTUEd7lC+YMr5Ch8oUvkPjfPk7iF36BxK99guJ/+Uvauf6l9N9oGLpOZXOf/c98nlsf+2Xu/+z/ycNf/3e09o/R04WOvgloZYuElrpYK8OgXW1adFHl9T1CZ9VvgZUFTo9b5DeTOLpEwYam06y3LH5Z6AbtegvBKRO6usTha2aqK7u6j2/CWpGoFxv45kwwJkgiYjRK/bTCya1dIst20JC5vUNwIUb40jSJW5002+mDI4aesVs3yNEw1VwdZ8BuDNjIlnEMDeAYiaK1rWk2taHQaOrIfg+e4RCJu1YWIX3v8LxKT3LKnO5aU5cnXcvd0QDJnu3VZpt8qoIvPkRwtgPeusPQdMrZBorYX03gDLg5vp9Eb2sk7iWJXuvo1DzRgA20AagtlUoLfJNDNp0TWDK751HZLyGMDJ2l+3pCNBmvfqGpBvs3DqgqIkPPzJ2zfpK7PzPxuFY6jTPQldvLsXvjkFxRI3B5DiTJ5lEWmR9Ha9kBdSNrB3QDizGbrktwSBT7MF39hoJA3A7aIovjaD0GoZHFGGpPRWZkcaKTWj8Lz5B94K7nzwCQIOCZHCV4/SLFTIOTjSzp2/uo1RbBSet5iE6ZRq8LfNSPKzaKODtPZuMUQRBRsh1wJQe9NHf2zUO5XSjxOOX1fZSsCaoFp4P2vrncMTKMMDFL/d7a+fb+xSmQZNRwnMbmDmLTvN9CMIxj6RLtfROkSeEwarmJeriH4PdhINFae4BjfBwDD9rOBu7v/eA7Vjn4KB7pr3qrBZ8yWN8+8VSD9QbxbgRYhmFwcnLCw4cPcUz9I57b/GnCQzmyxQE0QojHmzhm5lALKaqFNq65eaiUEY06yDLq7hqOkWHa6Qzei1eora7RuHsbYWCU0hdeRR6MogouXGOjeOZncAyPIoeDOAZCyH7/+QTVMAzahQrtQol2uUp1J0F1+5DaXgLvTJzSffNlJjhkS0VgeWMf1/AArbPUQeneFv65GNWzFh/N4yyR64uU7myeX3MzU8B77RJHXzNnn1pTIXxpivZah2nQc1UGn1mgcLuzXT2VY+ila+y90nFw1hUVRBlBEi2ppsL9A6LLUwhuF0evdemOEnmcET9KoSPgNnTTULRZtqeGTu7sMzA3RnnHHCAHVqY5vGMONMMrcVprhzZDSF0zUOn/Mq+eFIleGMfhkdGTdk1P8vU9YtdnECWBg9ftlXrJm3tMPDeHYBjk0vZWNEq1Sc3nol3ok+Y6C9dgkKNbh0xenyF719qaJrIwTvnGPmDel8PX94k/N0f+zg6BqSEKmf2++9Q02P3aAWPLMdqZvKmbA9yDAU7X7aAMAEli//Yhk8/MUNs/RqmYgGFgKUa6D5DzDPjPK/ha1Ra7rx0QGAkwGA/3rfpz+N1kN+1sUmBigGIPgNNVnbYucnBrH9EhMrI0idcjUT3MWMCVKyww/l4X2fs+Kn1SknqfdGd0KUaup+rS4XdT6FPB2OjTYom2/Z0lYD+O3pvyFEDv8RBzDPiRnE60mRj1VJnKdgGnLmL0MImttBXch5cmqHe1r3KORGmrArm9Ihjmtk6PTDcMDcyO0XxQxL00T+Ewj6BhsXwILMVRN9dxXbhAcSNFeFmm1ZViFmSRVtuNmkninhpHTe4iDo7Qaoo4Cmcsn8eLY2oS9cEt8xzmFmitmf+XhoZQ115HnJjH+R3/te1+vd3RT+AOJoP1FGBZw+BN9iLsO2156+IpwHqDcDgc6LqOrutvixnn14tCocDGxgbNZpOFhQVisRjajB/jP/7P+JwHtNQZhPgziLU0arOKZ36J+v1VHMvPIWg1PBdHaKzexxFw0c5Aa/M+zvgkylECh1tEEQXUbA7PygqlW/eo3LqH7/IlSnfMEmrfpQuUVk1RtnMoSqtYQ2+ZM2X/yiKVNRMAtZJppIAXrVI3y6g9TnP6bYDeVHBO+s8BFoaB0WwhOqTz1izF1R288REaR2l8sxOUShrOhhWUFB8c4J4bQelyAM/d3SEwNXLe2Dd8dYGdL24QmY9R6upBV95PM/zsPLkecbvgcZPesBoutoo1/MtxWoWaBRjpLi+SW4QeXZWuatRLTRx+N4ZukEt00jKZ+0fEnp/j9GZn4BFEgXpTJ7u2S/yZGU57AAxAu66guR7fFuN0K0PgTNfUL7Lbp/imBh+73B8bIL2Twzcapt4zcLrDXlKrSQzd4ODWEVPPzpK9cwaeJZHcod1N/ej1fSaenSV30MdpHfCPhcmsmwDneO2YwHCA0Kyf0m6GQHyIUtpejSh6ZNJr5jaHtw7xRX0MLQ+RWzvqq3cCCM4MU+lphF1JV/CODqAHAgzOjZF7cHgOtCPzoxzftoNQ30i4v/7sDODpbZ3j+yb48Ub9aHWdgWtzCFqT5/9xk0Bc5Cs/56fS01zZGfT2NTntF5H5URu4DUwOUT3sabwc9tr6LcoBj+X5B3BHg7Zm08G5MZoHKXzTo0ihAK1aG9nvIXfT+jtxqTrdXJg44reZlxqKCd7c8VEMjx8dgdzdnc45+TzUt3vutdJEnl8ku2qCS3fQOjyJ7aapxbq7i+CQULsmHK4LS1TW9zHO7CpcQSeaPEUjU8U1FEZNbpktc8KjaDvm+0yaX0HbfwiGgXzxOtr6DRgYxfn3fvCxTObbGf0sGuBpFWG/eLuaPX+z8c6jhndZ9KYIgXecxarVaty+fZvXX3+d4eFhXnrpJSYmJswKoun3YSz/ELJYRfbk0RNrtFUfrgsraNt3cM3O0d5epZ6u0iorSONTqIc7eC9dBF1HpA2yhHJ4iH/lAgCNtTU806YAur6+gTtm6nRqDzbwLZopM+U0R/BiR4TdPEgin6Xt2qUKwZmOeLu2m8B/qbNu5eGhJVXYSJ0SXumklgxVQ3S58F25SHIzSzVVIH9vF9+CtT2NnqvjCHScrg1NN8tuJZHwtSWzLYpq0Cw1kHosAk7v7BKcHTv/2zs1zMHNQ1v6ECC3Zk39Ra8vkFpNkL532DclWM+U8E2PEVqKU8taGYHUzT0GLnbE5YNXZ8numoPk8VqK4LQdKJXbKsmb+/iWRm3LAMKL46S3s/hjA32XB2eGSdxJWY77KERJJHuQp56rUm8aeEesM+PQ7EgndWgYHLx+wOB187savDhBNd2/mXS7bSAEQzj8dgsD7+iAJZ1UyVQ43i0ydG2G/H5/XZY7FkbtYoZquRr7d1MMPDvXtxIQeGzTaaWuUDgqsnszAdEIQ1enESSRVr/WOILQVyvmGw2T27KL58PTQ2R3Ttm7ccDC/1BjcEXGFRKJf7fGwMoU3pGOQWt4zi7YdwTcfTVZah+BvSdqT+eFZ+z7jMx1+ko+isDkEOgGzoif0IVJwtcWkKMRGpKPk608ydcPyK6naKaswMkfH6SZsN6P6JhV/yj43dQqFZrDQ5zu5MneP0RTrAxpcH4M48wYVZBE/NcvUdgrUFwzwZU8FELoalLtno5TLyjnWqzA0iRaqYwhCMgXrgCcgys5EkTXBeqJPHq1itMnIIQiqI4gzqATo1lHnLuMKAsYtQrC3FUktQr+MAzO4Hru/bb7+k5EvwpCeFpF+O0UTwHWG4QoigiC8I4J3RVFYW1tja985Ss4nU5efvll5ubmbD86+Tv/MTXPFVxCCtdkGFHJUV9/iDR3BaGeQRAlnH6Z5s4B7baMMP8MRjGDNBBBPU7iW14yj7ezhWMoagIvrYkgSxiqhuQU4Ewro5dK5818K/c38U6b2iW1UsM/2QEA5fsPCSx19EvNnQR0aZCqu0kckc4AUbq/jXdiGASB4MoCuXSDpibTndmoH+eQuvQuSrGKv6dasHqYIfriNQ5e2z8X3NbTRcJL1gpFQ9NR6m1Ep4wU8ZFPN9AUjczqIUPX7H5X6XsH+OPDBKaGObzdmTkf3z0gOD1sW7/daNPQ7D8vQzcoJop4hoI4gx5SXYyZ2mxTryjnjNc7hAAAIABJREFUAmoAz/QAtSMTxOQ3TnFNWsXcksdBcu2YVqVJvaHhHrBqlFxBD4nVFLqqcfLwlPCC9X4NrcSpnIGk2mmFhiLgGTZBluRykH5oNxw9uLFP9PocrT6arUfRqCqkN44xvD58Y51zllwyp1v2voNaW6NS13GPRXH47ALvZqm/OarSFig3DIavTVs8oyILo1RSduDlHwtz2uXKX0qW2Hk9gWsmhhzw2sTl0aVx6lk7iAyM20X1ALWzNkLv/VEv89/T2dfkyw1S2ymOj6o03QE883EMt5vo1VnCizE8Q0EEUSAyN2amsbvCMxi0abIEASqHdt2ZUrKzf2q9iWsgQHA+RuTKHOGrC7R1ETUYIZdpkVg9JnX3iMzdA9pd1h6h2WHqx1aG1jtkHdhFh0T9zG9LcEgELs0RWF6glqjTPmNvpaCHVo85aitngifXzARqdAy1paLVO7yY65GYXRTxXLqI4PPT6mLJpHYdweeD+CK1gxTKdocdc81OU93Yx1AUHCODaMUibd2NVihgnOwjzl2muXOAkd5DmL2MXi6jp4/QpBCev/vfvWsc0vulCA3DoFKpEA7bOyn8TY6nIvdvwxAE4R3RYWmaxu7uLq+++iqNRoMXX3yRS5cu9e2P9CiyL/88CoNIyjpSyIV7Zor2cQpheA7P/BRqYg/fygXU5BGGIVJONpDjs4jBEK2tdRyjwxit5nlz2PbxCYEVk2VqHSYIXjZBWPs0R/BRc2FdR9Da57YFlQdbBLpYLbVYPBcT600FIdhhM9RqHc94B5gYqoZ7bBAxPsnRrUMa2Qr51T3kwc4L3ai2CM9ZDTpz9/YIXzLPR5BEglcX2f3COsFZKxOUuW0XrNdSOQYuz9HQZZSuNiWZtSN8MWt7HV1RMWSZhi5bxOh6W6PV1JC9HYZMdjsoFVskbx8SnrezTs1SHSngJzAXs+m4qpkSqs+FIQgIooCmdF6whm7QOG3i7RrcvdODKFUzTVvLVGiKImKXAWRobpR2w5wgqK022aOSWc0GJjuTsVbMVTNlmqqAZyjI4HKMRrG/NquSraG5PTYjzP+fvTeLcSxPrzt/vJeX+75HBCOCsS8ZkRmZWdVV1erqgmYwUElWy5JsyZZlWLLdlsdoGDBkjNwzTwPMSIBt2RgIMGBYNgzYDwb84Jd5MGCPZ6yqrsqq3DMycolgBLfgzuC+b/fOA5lBMshUd5e7VF1GfkAAmdzu5SV5/+ee73znANhXPWSDA2BWTpYolzrYtwbso3PbT3uGdg0GpqPRR+f0DUbsa6PPz7TspJWZzv8DKCVKtCotzu6do1/2YQsM3pv0mmge09xslk9t1BH8PEqlJ+A8WME0N1jARO00g6Aw0OZdLduKm/J5nt1f1XL7b0y2dLVmgZu/NdindqVJvdTi9E+ChO7FiB5lSCcaVGUN9Z6AJrCAaWcZ9aoH0+4i1p0lHNdXcOyv4NgPYL+2hOutTfReO/a95cF9N1Zxvb2J2mrGemMd084KmoAf3cYy6VCJXLpF/HmW6P0Y5VyN1IMwzTFjWOfWtAhef8V2RCWoqEcngZJ924+gkTBf36SjsZB6fE7jSqaiY31uIh5IO29HaXVoz8+TO76gni1TD445tasFlFQG7BZUc8sUnicuxe8AugU3/XaPtmilEYxiWfGi9HooKhXiznVawbPLJAb9kpduE/r5PMatACr3Is0Xpxi2llE5/bRenqK1ScjmOQSnB+3+7anP9auqP43BejNFOFmyovrCf19mvQFYV+rq1cufpZu7oigkk0k+/vhj0uk0N2/e5Pbt25hMMyanrpRaZ+D89v+Cgh5t7xH0KkguJ0q7RbfeQ7O2SS/8DMnno3PyHMntpnr/ENmziri8g8brAUFFO3SG8doATLVevkQ7bA82g6doPAPQUXv2EsPKAOi0Emms+6N2XzeXv3S27uSKWIYO6gCqZGGiFVh5doZldxXzziqqxWUin5yhtozeq9ztodKIl+wZQP5wBlBKFNC5rejWlkncD6P0ZfrtHsKVxbGWKqKxjNghUaehlG+iMk4uxr1WF9TqqSBbxWCYcJx/VdVkEcuYe7xtZ5lysoTc61PLN6ZCjGHQIWv2Zv+4G+dl1Mt23DdWKMYmF/JOrU27rSDoJXQ2I/nTSZamma6h9thAUCEYJKKPz6eeX8o3Mc07cF/zUzyfBgq1TIWOIlKvvt4rTW3WE70fxbqziKCZvMqWrkxLtqstksc5XAcrNMqzwZVpzkZ6qMsqp8rEz/J4b6+iElSoTbP1Z85N30QbMBvMEj8r4L61SnkGe4VKRTEyY9pQBfmhiL1T7xC6FyMZr2LbDyArqgnfMwDnho9aejp6x+AwsfiexAf/2/TnDXD9N/To7IPP3Dw3zUDo7SaSj2JkTzLEnyS4eFkg/jhFOpgjdO+c0IM4oQcJwo9S1Op9ok+SRB8liDw4J3I/RqsziA06vx8leRjnIphBrdcOvs9jZZzRWuRKELsgiVSvaLRsWwuXwx4qUcCyvYyi0VO8aJN6EKFdqmNbn5s24s2MWn2iQYdhaYFqSaEdGXz3HFvzMM7azVlp2yzUCn2qoRSGFTdyc4zd8vuoJit0cwVUaoFeMo5Kp0UIbCEoXeTqYB/Vfj+tYIh+qTT4PWg1NF8EQS2gElQ0gxE0/jnkroreeQTTr//1mZ/bV1WzNFhvGKyvV70BWDPqq7BqyOfz3Llzh5OTEzY2NnjvvfdwOp0//InDEkWRlmUJ1QffRxFN6HiEYNbRT0VA0tC5qCB6F5GMgNJHre6DWqQXDdGI58jfO0G9/w0023vI+SxqqxV6PSTtoD2otNto7cOFQ1ZQdTuXRpa1F0F08wPmoJsvYdkYteMqT48xro60U43zFGqLAY3TivnGDtU6pM6KFE8HbaP8UQTBMQJBnWQR15WWXSNdQD22iIs6Cc3yEtkxN+xaIo/r2iQQaxVqmJYHgFGQRLRL8+SO07QuGkhXfJJK4SzOsbgY9611zh/GSDwI474RmDr+6ccR3Adr2LcWCI+5v9cvqug89gmQKKgF6i2Z8/sRvLemI2kAmvEq7ddMFtazFWSLHvPqiJ0ar3KogOPaMq4tP3JnenqsVWpQqrSozAhSflUGt4VCrnnJ5IyX0W0mfjg41onDODq/51JrpbcbSRxOC7flnky10EJlMSGop087xqFB5OjxCqefR7HsLNK4mM1eibppRleRodmFYqWH79YK4pgZq2t7nvrFdAvNvb0wdbsiQ1cROb0fp6cz4jpYxbI4+D2qXxONo8hZPvzHJgT1bOCsyAr7vzwAreXz6QEAy+KkNu3VbZUrjxV10vQUpIqZU4pXI4JUgopKeLJFq3OYpoTxjq0FurUr0TiSgHHJi+X6Bm2dhXyySvbh2aW3GoDGNKl1tKzP0c4ULlmulmiicBiZaIOq6qNjr3HZMFpddEIl6AxAX780eA+yKNJeWqb86OWlfsu8tYSiEuhZfNRPwlAaHANpdQPJbr0EW7pr12g8fgqKgm57k+bLIEq/j9pqohs6Qfs//QrS6tbU8fsq63UxOYqivJkivFJvWoRf0/qyzUZrtRoPHz7k4cOHeL1e3n//fRYWFn5sHYAoivR6PaS3/gLK2ocgGND2HqLZvAbJICCjSCYwOjHu79JLxjFd20JuNNANTRrrh8+pJCoUUy1Ui6tod/eQW63L9mDzNIx5fxOAdjKNZeigfjkpOPw2VZ4eY1obmnTKCnS7qNQistWIbtmPbnOLbLrN+d0wxZMk1pWR2Fzp9NCZjBOmP/mjKIb5kfi8XahiHQrUbddWKBa6nH96jOt6YOKYZB6FsF9xK88dRnDeWMW4Gbj0aOpV22g90yes1IPB820bC4QfjPldnaQxzU1rcPLhHG3UXA0SzL5I4DkYA2s3VslHBotm/FEU7cL0ttULFiL3o7i2Z2cW9hs9au3Xjxnnwxe0lNdPQhndZooXLSTr7FZatdSkmq1Qb/Yx+yfbauZFJ/LYopo9yYDFhN5lxrbqoT8jUgZANOmJ3Iui9XvQO0dMpahVD15jRsmiRP6ihWl98mJDa9GTfj47MqdRbNCqtjj5PErfbMJ7YxlUqtdOhl1lKl/VqynBerFB6G6U+FkJ/co8ilqcAp7L33Rz6zeraEyzX6vfU6icZHj7N8osf9N5qdUar6tO/wA6+zR759mezkR0zTBOdWz4qF+ZCnXtLNAuTQJW24p7ShgvKKP/Gxfd2G9vUrpokT4rkngQpV1qYA9MPk+t10w5vuvMWsx7G7R1VpL3o5gWHPTGgJs54KF1ngZBwLi3RUdjpnw40lOZ1+ZQ5UuovR5kmxe9Vg2d0fm42qxTrSm042m0gTl6mSzS5g71aIZ+bCCIV2/tQSELioK4vEo/lYRuF93NW/SOnyJu3cL44a9MHeevumYxWNXqQA/4BmBN1huA9TWqPwsGq91u8+zZMz799FN0Ot2lgH2W78mPUmq1+tL5V/Orv0/fuI6q30BduYe4vIPWaaR7+px+W6Z9UUXtX6RzfITGP0/7NIhpf2vAUlm0KP0+lYfPaLdVFKJ1yrES2uu30O3tg0qFZmEOwaCn8eIE3VBH1QyfYx0CMUGnQdCqMWwEMF7fQTbZ0OzvUcn2id+Pkvz0OY6xNl/+MITgHy1YzVgO981R21HudBH1EuO/heKLGK5v3eD8cfwygLgUzqIdF3krCs18FfVYC1AlCvQEiWJissVTDmbw3roiblcUuu0+lVoPuTcCFN16G7SaqYXZ4HdTyTdnirTP74dxXVvC6LMRGRPJK32FXl2eEA9bF52UTivIvT4X58WZYE6x6Dh/GMV3KzB1Hwwm1MKfh/HdXpl5f68v0LhogFY3AXYAjMu2SwBYz9coFhoY/YN90Ji0JJ5Ne0gVYwXaKolaZbYYXe8wkng6ALTZYJZae+CmDoNFf5anGAxyDDuNLqkXRaxbfoxDI0zHuo9+Z/p3aQu4LqcyASrpCsH755i3FpBnJBZoLXoyL6aBmnXBzsUMMb5o0BK8EyF1XkXjd+O9vYp3z8YH3ztl5XaBYnj2xVj2fh7PSgVRghu/Ot2mnNV2VAlQmWF1cdVEFECaEaStnTHBKYrTp/x2bnK7GqsBWZaxXF9HdjhJhUp0OgrVK0zaVWsG+9bI4FQlClivr1NK1kk+jNF6NSjQmmRNDXY9ukUfqrkFMg8jGOyT7VWdSUK7s00126SdySOWR4BRv7eFKlFENQyhVskN6nOLVI/OYN6CXKvRC2zSbzXppVOIy2uIJiNyMY+4dQNVMYmwtoe4to3aPT2o8lXX63IIjUbjF14n3tSfbb0BWD+kftIAq9/vc3Z2xkcffUS73eab3/wmu7u7f6qA/UcpURQvAZZKpUL67X+OLPiQNEWE0gMwOtHvXUNOhQbBsD0B9eY+kgZUapFeLITktNMOR7FeH9g1dOIJJKuZdrZAp1gh++CMzIMIPZ2NYkFFpW2gq7XSsvhomb3kY2W67iUKJYHE4yQdyUzibpjskyj5+8eoXKOTZyNxgTAGRNT13kTbr3AUwTg/Yi0qZylcQ9BlCvjA6SL5JDahqepUmhi8k2xLM1fGtj5YyFWigGUnQOTzMBq7aaJtB5A5imFeHDFlar2GehdEs2GKKSqGsrivj8CL52CF6MMY5UTxkl2bKEUhF84hWwxTjunNQh3RZBhpmQz6y0zAVqVFR1ahMY8WS9uqm1JowFZE7kXw3poEUUaPhegQxEXuRaZAmGd3nswrEXqqTE+SJkCW5ornVqfappitIfmMqH1GOjMCiwHMPiuJcBHX7jTrZlvxII+HbxcbxF7mcN9coVGZ3ap0bfoono+0VPGjJMVyF9/NAJXMNAMEAyA3qwSNltOHSQzLHjzXRqymY8M75aAPYPLN1rh0xlqy+UiB6JMI738vhsXbHnxDmtMtyMRnZRa2RmBk+XYB98bkd0AzAwzpl2wTwxcABo+F/JX24KBlOAkSRY04lXs4sICYbAVaA25qyTzmZQ+Og3UMm8voVxeJH2WIP4hSGx7ncaNdAPvGHM30pM5NrtURtBLWG+v0LA66skB9bArRuOCgFhptX9RrkQU1+UiJajiLqJVohEYGqyqTjk5fTeFJGLndwbq1SDebRxFENLvXUPV7l61Cnd+D1upGjGZAVGGol+gsbdA9jtKvX9BweKieZ+ien9Jb3kJu11AkHZ10Hsuf/4tTx/6noWa1CF9ZNPy0TDr+tNQbButrWj8pgKUoColEgo8//phMJsPt27e5devWjyRg/1Hq6n6qTXbEX/19el0LensLsXxEr9lDtFrRecx0k3GQoV7qob9xY9AqHLIorZMTND4X/WoNg38AcpqhGPYbA4BTexnCfn0NudOjchzD5PfSylVoZooD9mb4nS09PcU8BBtKX0ZEuRQMd0o1JM9IbNsp1iaAidzpotZrJ1qF5WAcxzvXSIULlGJ5WoXalEVC/vk57puTTFTuSRjXjRVM28ucPxqcwPPHSXxXGKt+u4eiEhAkEZWgwrAyTz50QeYozvxb01qpxP0Q7r1lzPMOzo9Gk1PJJzF8t6etHkS3gXy2jlo/ra3Kn2Vx7S7jvbFM8gpDVEmW0Hkdo2MnT/5sow+iuPdHuYnGefsEaIg8iA3aZMNqtibbQeVEib5Gg95uxLnhJfVy2t+p1+zRqsiIGsPUfa8qlyzSqXeIPktNgD5BEi8B3XgpfZlSvkFP0qC1TrfCXtmBjFe73qFc7iDrNNgWJ8G0WieRnrHvAKUhO5Q5veDscRLdohvv/uJMTZZKVFEITbNM5jkr2TGLB0FU+NX/o8Tc9ghwOuay5E5GIOziuI9/a3qffuZv13nVSxY0IvlZ0Tgzzv32JeeUTss9q2W4vUD3isbOtTGwgNDaTdh3FnHeXEMz56atMZE4LRK5FyX9LEnjCnCyLLuoXsks1Jkmv8PGBQeCxUxLNBK/H6ORrdArTdpbmLwjltayu4Jpd5Xs/dClhsu27ac/3GdlzoVmeeEyEQJATQ/BYkbwB2gkcjRPhoa3Wg0ap4Pa05PL1xbci/SDMUxbi+itDsR8HcPqPH3nPP1QmFa/STN0Tv7WN3gRChOLxSgWi1+55+F4vY7BeuOBNV2y8kUnCb/c/XoDsGbU+NXBT2KKMJ/P8+mnnxIMBtnc3OS9997D4Zg9Lv5Fa5zBelWazW8gvPvbyE0FnS6NVlOkj45+uYBpf4f2y2eoTUbK946Q9t9G7nQwX99C6XTQmgaaqsbL00utVfPkDJ13ALha0TiSffBDrz47xbAwELlXT2I4bwy1WX0ZOp3L/DclX0NaGbFS3chkQHD+yeSEYOUsedkqtO+t0pGMlFKVifUldxjBfWOSwcm/iGPwjdpqklFHWxHJxyYXjtSjMPYrNgrlaA739QCugzUShyPRfOJRdOqxAMV4HpXNQufKAnf+MIpzayTuV1u1FOMNGpk69o35mdqpzIskPe1sTVT2OI1zbxnv9SWyp5OLvyIrJJ6ncWz4sCzYpyYHURTOn8Zx7/mH7NV066sULyLrdYjG2dsHcG14iR1l8N5YmrrPvu6ikhwsqEpf4exuBMOGGwQVji0fjWJj5mtqTHrODxO0UOPcGjN+dRhJHs3WWAk6icSLDMnzMnO3A0hDwOremaNTn25Rujd9lM4nP/tcKE+x1KHakJm/tYI0ZrPh3Vm4DM0eL+vCmBBfpfDn/tcKa+9eyREE5OpAaJ150cFpP5upklu83WXnF/RIBi3u7QU6V0xOtRY9rfNplq6emp6OlFvTbUml38fgtmDfmsd1sILz5hpdlUjfYiOXbRE9TBF7FCd9GLvUmsHAYuOq47zpSgtZbdBQGTJhxkU3lv11RLeLxP3IZeSRdcVDPTYCZYIkUg8nMSx5kQKLJJ/E6WQmNWdKpYJKktBd26aRqNCLj76nhnkncrdHW9ZRO41jWbSDLCM6bKiXAtSfDSOyBBFFEag/G7jPSzYTjXAKBBVavQ7lLIxxbwtdvoRmcwffn/8LGAwGSqUSz58/56OPPuLOnTscHR0RjUYpFApfmQ/i6xgss9n8hsH6mtSbqJwfUmq1mnp99hTTD6tqtcrJyQnFYpG1tTWWlpa+tN75K5H71dL/3Hepx54hRz/GwAN62lt0LQHoNdD4PMitMoJGQzeRoJ5rYNqwoFn0047EsF7fo/z4JZ3zcyS7hW6xgn5BSys38LEybfsoFivI3R467YD1UWSF6nEUvcdOM1ukkbzAdn2dwuNhjmA4h2nJSy02OHk2khdIZgPd6uDE3MgUUZt09Ia6qm6jjflgi9i94ZVspozvrXXS90dxM6WzFDqXhdYwTLfX7CAtOEEooXeY6WoNnD+I4t5ZoFkYRd7IPZlWrY2gUyO3RseurwjUG5PHUu71aVZaaMy6yww8ANOyl0q+ORH1AwNwmU+UEE0a+rUOBp+b4pCZij+OsfLOKsl7ZxPbcO0uEvwkxNL1RTJPp3MHU0cJvLcDMz//fqfHRaKMb3cOJTbtYC73ZFLHGeZuLM549qBUokAqUcXgMk+Za6oEFflkhX63T/hhnLVvrJB6MOZdJE6zctkXF9hXbBQLs93eDQ4D8aEuq3ZRo16os/r2CrknEWwrHkq5yMznJIbAq9+TOfk8isVjxrfuo1md3WqU9LPb7zqbgcyDKIVECZ1Jy+KtFerJAjNjlVVQGNND/Q9/p8b+z83enm+1QvLQg9MeQ5RmXyLnzgT2fvYpn//fWxgUAc2CG61Bg6RTI6pFdBYd+URmoLcRhIFAWyehtDroPNbhAqsaTPLKfezXV+h1+4MWpiAQP74YtKJTQ8Cz6KB+BTi5d+anMg8NNj3jZztBLVAJTTJwzq15VHKfRqNP6jiNIFUxmSaXEr1NT3vspe27i6hUKtJPIiAPon8akdEFjHnFi0wf2e4i//gM3YqTfny0Xd2Sj+KDY5RuD9GgpR2OIC36aRaa2LQqmv0+Kr0Ow7VtGg8H2YKG3VXqhy9Rul1Mt67RODxEdLmQ0wkEpwf7b/w1tB4P4z70nU6HarVKtVqlUqmQSCRotVrodDrMZvPEn0YzOzD8J1WzRO5vGKzZ9SYq52taX2SKsN1uc3R0xJ07dzAYDHz7299mZWXlSxUmqtVqFEVBlqcnuHR//R+jmDfp9q1YtE/oJ17Q7qiR5uboFQuYNxfpZrNYd5aoHIXoqXSwtInS66KZc9Ov1TEMDRpntQoBGpEkzuHt/VYbrc1wuU6Vn56ieWWOKcsIKnnU7irWsI7l6LXzFaxrC1i3l9CsLHL+NEUjXwdx9EPIPAphHTMS7dRaGNyWieG94mkK33s7VHvipWA79yIx1eqrpUoYl0enWM/NVYKfRyhECxjck35BtUwZ61iUje/mCqG7US7Osnj3p1mdTqWFwevE99balDA8fDeMZ+w5jlUPp/ciKLJC8jiLxjPdivPu+zn5+Azva0CS2Wvl/ORiohUzXq4NL6cPErheE7kjmnQU4yXaioDJNzmlNLfvpxAfADdFUTj9fKD9UlDhWHGRfD67NafWaGm3BGyBacsRlUNDf0yXpcgKZ59HMCx7qb9GLO9Ym9RyAVSyVfLFFl2ViHNlMrZFa9KRmjFtKOklUi9Gn0mr1ib4eZRyQ6bRU/BdX5ywePBsz1HLDYDire9UePc3ZjNyAPWCAJkjdKZpbRdAOS1g1qRZWG/wM79eJfEkTj5aIPkiTfRRnNC9KNlQntzLEpEHCc7unXN2P06j2ef0QZzTe+cE78YI3o3S7iqEPo8SfXBO4jBJLphDZ9FP6fzMnhnfiSuMt1qrpnQlUNq1s0CnMnivpiU3joM1qpUusUcJLobtUvfYY2CgXawGB+BJ1GuwHWzQrHVJP4pcJjPojGPgRBTReJ0UowUaiQH7J3YHn7+g16Lf36b0KIgyDLG2b82jWVyiliii9Pu0Ts8QrFZkixs5O9gn7dYmqnYLpdtFs7NL9+wUwWZH658DjQ7NxjW0m9O2DBqNBqfTSSAQYH9/n29+85u8//77bG9vY7FYqNVqnJyc8IMf/IBPPvmEp0+fEg6HyefzdDqv9437IvWmRfij1xsN1teovugUYa/X4/T0lI8++ohut8vP/MzPsLOz86Vf6QCX4O1qmxBAVKvR/80/RNG46PbsOP05hEKY2nEE7e4BvVQc084azefPMW0HaJ5FEQ16co9j9DUWdPt79ErlUavw+Azd3FCbFYmjcQx+8JXnpxj8w1Zh8Bxx6KqNAhpBgCGoqscyuMZsCwpPQzj2ltHazdhvblJIVWkpEhcng5NlKZTBO/Z4pS8jd3qXrUcYtAXHdU+uG6uc3o0hmSZFz6knUWwrk7qt0ss0pg0P7r1lzh6cgzJwW9fazFNC+NRhjLnbq9hWPIQfjwS7sfsR3NengU+30aElzyCKFYXMaRbL4kBb1eqrLq0Pus0OrUZ/QrBtdJsJPxls7/wwic4/bRbZVaCaq9FRBPT2KwBNpaJcatNtdUmHCriuROY4VlzEhq9fTleot2QsC6M2a6U0zdaE7kZwX1+aGDSYKrWaUqpMJl5m7mAEKAVJpJWbvSA1e21iJ1kce3OTZJKg4iI8O0Ba7zBy/ixNNHiB5/oS5iHIdG/5psAGgHdnfqZY37nqJnaY5PhBnKYo4bkZwLnmuQRbt38hx8/99TOqudkn5lZVhapUYnk1R/xw+jHNigpVNY/RPLho+9ZfiKIzTl7AOQIuCuFJTyu1Tj0R8QOAara1Q+2KyaogCpRCkxoqo9tM4fgqmJqfiMoBUGvUOG+uoZ73kg4VKWfrU7E9dCaf49yeR+nJ2A7WaQs6KpkKldPRtrRWA9WTge2JfmUeaclP/v7JpeWDJeCBTBFpwUNXb0VEuQyVV4kqkDQUn0WR211sGz5Em40uOjQmDZ14Eu3ODkq/TycaQ9raRa1WQFSD2YGcSyLLIrZf/0tTx+11JUkSDoeD5eVl9va1yCIMAAAgAElEQVT2eO+993j//ffZ3d3FarVSr9cJBoOXoOvw8JBwOMzFxQXtdhtlxvTqDytFUV7rg/XGouHrU28A1g+pHwVgKYpCPB7n448/JpfL8dZbb3Hz5k2MxtkTTV9G/WkAC0Dtmkf6ld9DRofcVWH1lTD4DNQPD5FdAUSthNpmQSlkUJuNNF8G0fu9NM5i9PsiF9E6jVIX483raOe86Mw6EKBfb1xmzSndHqLI5bdKSBXQDz22mskLtKsjdqH45BTTshf9nBP7wQYdRU2tJxK7G6aSKFJN5NGOZfJlH4cnWKtqPI9nf9JINHcUw7Lsxn6wzum9GJ3aAFCodaP2ldzt0+v2EXWTLa2+Arlcc8I0MXecYn6GEWg+coFsMNLrTB7r9LMkxjFPK1ES6ak1nN05Y2GGnUKn3qbTg/m318hc0VV1yh0EkwH1MPZG77PRHbYx5Z5MNd3EtjxiheauL5I8HiyipWQZjIaJybT5G4vkhuCk0+ySjhZxjoEstVE/oW2r5mqUyx2sS068u/Nkz2aHMBcTJcqNHlrLtHbL6rcTfzpYWLutHsH7Mbw3lxHUAr5rC6/VZalkkX6nT+xxCsFrQrIPWny2NQfV3HS7UWPUkHw22I6iwNmDc7KZBvO3V2i+ZkKx/pptF8a0Ws1Ki+DdKKlkjWy2zrf/hopf+DvnqCWFcmQanHXbUAuXsdoGgnqbPkd/DDv1OlCLVrC7R9vW6rt88JuTQOeq5gnAO0Nf5t2ao3rF2sG96aWammwRe3bmaV3xvrIvu1CuKHzlYaC0cc6O6+Yatv3BZGz0XpRSbPDdMbkm9800b6M8xnqpRAG1XkvfZLnUZJmuMMGONS+CpEa/t0kueIHOrEHujs6xepue7qKPcrxCu1ChHR+8vqDTYHt7j+L9F6AoCFoJpdOlUerQuSgiyS20u7tUjs5Q9+tIW7u0Eln6mQR9yYzOpqHfVWH58OcR/xud0CVJwm63s7S0xN7eHu+++y7f/va32d3dxWaz0Wg0OD095ZNPPuGTTz7hyZMnhEIhcrkcrVbrh4KuV+fxWQzWm5ic6VK+YEzOGwbrK6gfR+R+cXHBJ598wtnZGdvb27z77rvY7bODYL/MUqlUr9VhvSr9wQeo3/3L9Lsa6DUxqV5i3ltFzsYpBdOo/cvQ62MKuFG6XdSijEotUn92jHFljmo4RavUJHV8QTZcwXj7Job9XRDVWG9toTIbaCZyGLcGTI7c7g5AkgokswG50sS4F8B2sIV+c5WexkAuVSd2L0LmSRSLfwQY2sU6lsURIJsVf5N+GMIxZiRq8NjAbifycCT+qCQKuK6YjVbiBdy7I7bJsuElFSwiaKUpb6vz+2HcOyPbAVESEWxmCqkyuivu73JXRu4LaEwDQOC5sXwJnGJPEjjXJ/MRYRj+XOkMrsyvVD58gX1zAdeWj8ij+MR9/XafarmNyWtBUIvkM5PTcPlIHq3biqSXENQCF8lJYNJpdMjEijjXvTgCTqJPJl8fBiAkn2ugzHBMf1VWv4P4UQpFr8O6MLloGT2WqYXk7F4Uw5KLzgxrBADnqovc2YilqsRrVCs9jBsOZnS/AbCvOifsEwB63T6lYpN4uMjCWwF0Y1OKzhUXuRlTgt7dOcqp6Qgcz5aXheUz3v+lB5e3+dey1PKj4yL3IP+sgc8/er7N2STxZPT+M09b+Banheu3P7zAszzwchIkcab/Vrc5Deg0M6ZRtabpz0p11flWNenwLkgizl0/osmA6HORjlUI340M3OnHLjjEGS1E6/yrzEYJx41VjNsBYp+cXJqeqg0aKsGx75YAiCIt0UjuURiVqKJ5PmLmJLuZdgc6oTxKr49rd5FusYrG60KxOukkR4+17q1SDibp1xqYNxdQjBYqh0Es24tgsFA9OsOy6kVWmxA1Ar1CCbVvDvOHPz91jH4SpVarL0HXtWvXePfdd/nggw/Y29vD4XDQarUIhULcuXOHH/zgBzx+/JizszOy2SzNZnPit/IKYL1hsH60etMi/JrW6xisarXKvXv3ePz4MQsLC7z//vvMzc19pdMdsyYJr5bxz38X1ep7yLIBRe5hat9HsmgxLTqpPn6BENgEQY1lf512PIVtbw2l30fsNhG0ErWTKK6DdXqNFvn7LymnK8QfxEg+jlHt6yg3NZQiVdRr67T0drKxCrq9XS4uehTjTUqJGvHDBKkn51w8j+MZ85K6eBrFe3Ps/0fRidZgLZHHMzZ1iKLQylfRWPS4bq2TipWJ3Q2xcHNyqjDxMIz3+iTblXwYxnN9Gff+MolgHrmrcHGaYe4gMPE4RVYop8rohwaI9t0lki/SVNJlVHbN1aWLSrKENeDFvbtA8LPI5e39To9qvoFhnJ1QqVCZ9EQfnTN/M8CsShwlEByzr1jr+Tp9Qc3C7QDFxLSwPRPMYlx0M3ewTGHG/Z16h2y8jM5rvzr5f1m2eRvBRwl8e9PeVga7gcgQmBUTJQqFFp7twSSg3m4gNiMyB0BRqTg/yzN33T91n8463W7stftUL1q0+yKOFdfU/cX0bE8sUaum3ejw8rMIlWaP+bcCGOwGdK/xyhKl2TM/bs8pf+UfhBHG1jpRgEJ4tN2LExX+wHT7cs6bpl1XcX5fZmltdnuzVRf54JeOAYW53fkp01XznJXcFad7jUlL7sUVnyuDhovjydsMTiMXL6+0AjfmkEw63LdWMa4vUJfVyBoNkbuRy2lLlaiiEp1kLT07k9YPglqgmS7iOFinpdYTvR/jqim+a3ueXmPAjOl8TlzfuEby7hnt4eCDa9dPZ/hv41YA0+oCpeej1AS5UsGwtUqt2EZr0dEaThbq97ZpRpIonS4KKiSLierhCahAbTFRPTpD67HTKVboZHNIBjWIEva/+tde6+j/ZZQoithsNhYXF9nd3eWdd97h29/+NtevX8flctHpdIhEInz22Wd8/PHHPHr0iNPTUzKZDCqVamo9+TI0WK1Wi1/+5V9mc3OTg4MDPvzwQyKRCADZbJYPP/yQjY0N9vb2+MEPfvAT3fZ/7/UGYP2QeuWQ/ko83mq1ePr0KXfu3MFsNl8K2AXhqz+UP6pezPJ3/gDZtIRKFkGRsWlP6MTCWA82aT5/QT3XoFPvol2cp/7sBaY1P+10DvvuQENTPw4NxqY7PbrtxkCA3u5h9dhABZ1Kg369RbfRplNtUTiKYB6yU+1seYI9yj06w745WrxLwSSGsdia4kli4v/phyGcO6OFWTLrMe+scvZZhH538BklHoQmWCeAfCg74ZYOA/+cTKKK3B2hi9j9MN79yYW/Uahj8NrwvbVG6P7o5F+JlPG/Pd1CLCeKKCbjFGipXdTQ2kdZfP7bK8SH4vDQ3TCLb0+7ri/cXOb5fz1l4fby1H0ArVqLfKmNZJidW5gLXdDoMTP/D8DitRB8cI7nNcL3HtBtdokcpVi4ObkPrnUP3TF9U6vaIvoyw/ytZZxrnpnaJwCVpKZZaXH6MM7czWXUQ1bS4DBw/hpQpnXoSZ9kOT/N47u5jGZoUuvd8lHPTE/5aswaEs9GwKLd6HL8WYRqV6avErBdYdv0dsNMW4i3vyPyK3/7EHEG9gqsX5ANC4Q/7zPvi00/ANAbe+SeKSyvT/tcAXTbKhrnDfZuJTj4VnxiEvVV2fyTOY0A3s05eu1J1s67Mzflh+VY8WBZdOI5COA6WEG/7KOv03H+Ikfo8yjpF2nkrjyl0fLuLNDMT7Ke/foI+Bl9NrzvblHIt4nei9AqNdCYdZSOJ5nQTqGC2qjFcn2DUrpGJ3+FIWw2EPRaDNc2KQQz1E5H07OWjTkEu5388zj9RgtJ6YBajWZnG0GR6RbKIIpY3t6n+ug5AOaDXSr3j1BpNWg9NjqJNOaDPeRGE92tt9Gtzc7+/LMsURSxWq34/X52dnb4xje+wQcffMDBwQEej4der0cymURRFD766CMePnzI97//ff74j/+YRqPxpbQIf+d3fofj42MeP37ML/7iL/I7v/M7AHz/+9/n3XffJRgM8q//9b/mN3/zN3+qvMJe1RfzwBr8fZn11aOCn8K6KnKHAbAKBoN8/PHH9Pt9vvWtb7G9vf1nImD/UetHYbBg8P4sv/t/0dV4oasg0Ma1XEMp5dB6HKhVXRqxDLKgQdrYRq0REfVaak9fYtleQm53kZXOAFjlq3iGYcyV4Dmeocln7XzkdC53uoiagY0DQO7RKa4hyFJkhU65jtowWDC79dZA3D38CLqNNjqbcWS6qCg0chXMfie262vEji8IfXzM3Njir8iDx2jHnOHblSY6u+nydb231zj+JDxgTMaF7IpCPpLHeGXqStBqKMyIc4neD+PdGwEyQS0g2s0EPz2bydBkjjP4ri9jXbBz+mjSiuHsXoS5MXBn9lk4HQK60P0YczNE9PZVD+eHCaxLLkRp+sp8bn/ApLl35meCLJVGTbveIRW6wHdtfuI+35aP+LMBAJR7MsF7UfxvBQDQGrXEjqZBg9yTiRwm6KqEmduzL9o5fzoCMqf3okguC/ZlJ641z0xXdY1RohAaTjDKCqd3o3QENXM3FhG0s4Hl/Pb8RLzR5Wu5dLz4NMx5tIRp1Ylrc9CGdq95JiYaAZY3y/zy33qApJlN76mAwssS6xuz/boAos90LJsfUc7NDqbOn4DPO2jX/dxffkk1Hp14jEoFxch0O/OV35SgFjE4TdiWXah1Et5bK7hvrmDZ8iN67GTPK8SDBc7unRO+F6OcrZJ9NglifdfmaRUnQaqomnzP1iUn5XAGx+4ips1F0vEq1VR5QhTv2fLRHwN9tnUvapuFNlrSD8OYfFbKY07y1lUPiiDS15u5eBLGdW2BbnmwH4peg6jXk390BoqCZdVLK1dAmPdTehZGzmUR9FrUS8tQHDBt2r1deuk0Kq0G4+4mrZNTNBubKIUMitaE4y/+9OUNvipBELBYLCwsLLC9vc3m5iZ6vZ5bt27h8XjI5XL8y3/5L/noo4/43d/9Xd5//33+3t/7e/ybf/NvCAaD/03b1ul0/MIv/MLluvfuu+8SCg1scf79v//3fO973wPg7bffxuv1/lSyWG9ahF/TevWlu3PnDvl8nrfeeouDgwMMhj9lcuorqh8VYAFIVjvm7/7vdEQ3PdmA1M9jMubQz9npFgpYdwM0w+cIkkT2eRr97jaaOQ+dTApFJ6FkS7huDMBU6fAE68aAMSo/D2Eaxs3kH59iG7JT1UgG0xhL0swULqfPGpkSjjEWq3icmHBZL54k8d4aTDDqHCYMS14Uu5Po/ehlsHL+JD1hLVC/qGK/MrKfe5lk/vYa7oM1gnciwMDA8ypj1ao00dqMl7oox7aP4P0YmaMMnp3JGBxFVsjH8pfWCL6DAImXaRRZIXOWm3IbB4g9jGEKeC5F6+OvlQxmcQQGx08w6+gOhfSKrHD+PIV7c6TjcgSclwAs/iyFa2vuEsQCGB3Gy8nD6OM4np35Ca2Xb9t3CZK6rR7nLzLMj4HC/ox298lnEeZvBfBdm6NVm22lML/v5+UnIawB97QoeoYu6yJaIJeu0hfEmRZUrnU3vfbk97pWqJOKFqnUu7jWJ6dCVYKK3IwMPwBVZwhCFUgd5wk/y6HYdJTqVaQxd/LVrTz/8+99ykViNoADCD3Ssr9xQuJktjlrIqhj2X2OWupTT0yL6iMPRfxzI3BmMHb4ud8KYVz1Yl6fQ1iwMPfeBlqPHdu2H8vGHOZVH+6bq1RqXTpaPeWmQibdoN6B5x+dEfw8ytndKPGjJFqLgXJicqLQu+mdznC8cs4wuszkxyYM9U4z5mUPit1O9EmS1LMkNr9jMopHBa0x41DL9hKCyUTqUfQSDJrHkhsEnYTO6+DiJEszWwYV9PKDfdWv+elZzZSfjlzcDR4LXbWJ6lkS194S/W4PxeZGFGRa4XO0u7uISp9epYrg9qEUM2jWN9HooVvv4vwrfwlB93oT3Z+2euWBZTab8fv9/Kt/9a/47LPPCAQC/JN/8k/47ne/iyzL/It/8S/4R//oH/1Et/1Hf/RHfOc73yGfzyPLMm736DwaCASIxWaztW9qut4ArBmlUqlQFIVcLsedO3cAWF1d5Z133vlKBOw/av0wkfvV0m3uofnO36TX1dFVnGi7cbTZuxivbdN8eYxld5X60QuMKz7ynz+n0JdoG+04bmyCoKJ2FMSyNgeyglKrojZokTs9JPXgyhpZoV+uXbJTjWAK/RBwtApVbIHRDzf3OIRrTF91cRSZyAVs5iu439vlotAl9FmYxIMQ82Naq069jdasnwAQ6cMYC2Nhx3q7kUqlM2U5kH4Sx7Q82TLKHqfw3ljCuGTj/EVukA2oQPG8hOWKR1Sz3ERt0rFwe4Xjz0bmm+1am56sTAmPF24FePYnpyzsT+uaOo0O9XoH246TxIvJtk2vPTATtQ2Dl3uCcJlZCBB9Ep9guewBF+3GiFGIPI7jvea/PEad/iTQ6Xf7RJ4mWThYxLvl5XxGqDNA9GmCRo9LB/XxEiSBzHBaMXmcodlV8A6BtcFuIPqaFqBve45nH59hW/NeCqeBgcFnYrbGyr3iIvEiTfRlFs/+Ipbh8+avzVPJTE8bejc95CLTwMvqthM/zFOt9bCsO7n+s23+1u/dRavrI1SnRe8A4Sc6NhYjCIBeKU58DgCZqBavKYGoHtyx7M8SezFa4EMPtWwEpgcLrt86RccL4i/SFCNV6qUW0ScJzp8mSTzPkDzOoigKxUSZ9hjAtXin20Za3fTn08hOHkuT1zKl0XKsuFBrJdw3AhjX/ZTKXc7vhycmFq9uz709TyNVxLQ2jxTwU0xVuDiMXN6vMekoHw8YW/P2EtKch+y94GXr07mzQDNdxHR9i3wwi2bMoNW0vUz+KEYrW0QlqhDkHl2VlsZ5Bklpo9nZofIyilLMIbi8aMwSKpOVXqlE76KA8b13Md6+OXUsfpprlskoDLS/N27c4Ld+67f4oz/6I37wgx/wx3/8xz+x7f7BH/wBwWCQ3//93weY0oB9EcuJP4tSUH3hvy+z3gCsGdXv97l//z6Hh4f4/X50Ot3XImDzlV7sxynb//hLSN/4efptha5iRdI0MKb/K7r9fVTdFqLZQDefBZ0GbamC0pBJfXKM4cYeht0ttGYDok5DK1vEvjUADLVoBveNAADN7Bg7JSsorc6lRUL+aRjPwQgA1eIXaIdicrnTQ2vS4jpYQ7O8QOykQC5cmBCV544TmOdGgDcfTE/ZKmSexbH6HTjWfTQVifhRkka5MTkBqEDzojkpQAcuUnk6as1Eq6lVaaHWaxE1k+04WVZoKtM/p2K8iG3FPWpNbvk4vhtG7sukzi5wLE8bcPa7fcrVHpJ++gTbrLRotHpYtuykTqZbR6EHMfy3AziWHJw+mL7SjDw6x7fnZ+H6AsmX09Nqck8m9CiO3vP6SaXF/QVOPoug91gxXxnB91/3U8mOwE2tUCd2kmXp7QDuDe9rdVnl4XMSLzPksjUW3wqAChb2Fqhmp/MC1RqR5PFo/8OPzsmmqszfDlz6rV0tyTB7GlIYtlb7PQWzcMxv/Ob/i1Y7+B0tzBc4fznJfESf6lidC1+emj3uCqnICBTm0xosqgxa7eR7talz9Loq0hELa/7IzH0p5XV85zv3kKQeklmaMklVa9Vkjyc/N1Ejkj2Z9MjSW/VkrjzXs+mlfMU3y7HkuAQ5kkGDe3+Rbg8qbQjdPyf9IoVnZ24iykfSSxSvhEvrHUZ060ukXmYpBNO4VlyXvlYArq05BJ0W484q6aMkBqseZawlq9GrkRb9ZB+G0LvMqJJFFFQYr28O7E6G4nr7foBK7IJ2roR1x4+sNVI+PMOxv4ys1tNO51BrJOonYXRWHaJvHuev/+rMY/3TXLNMRuHLnSL8wz/8Q/7Df/gP/Mf/+B8xGAw4nYNzUy43Os9Eo1GWlqZNlb/qeqPB+hqVKIrMz8/z7W9/m0AggCRJPzZw+Srqx2kRjpfjt/8uBG4j9yXoi2hNMub0/0MhX6frsaGqNXBt+pAbLYw2HSpRRfkoRClZ4vx+FN3mGqa9LZAVHPsDwFR4EsS6MT/899klO9XNV3FdG/1AK2cJ9EPxebfewrG9hOvWBrq1RSLPs7QRyQ7H1suxC+bGvK+6jQ6SQTNhrZB8GMa1OWrj9do9LAEvyWiJ6jD+pZqpYA9MTqP1ah1Mbutlwq5p0Uo526WaqmP2Teqxcmc55vZG78HoMlMotDn9LMTyDKF6/DDO4tur6Mw68vnGpaFou9am1exhcEy2my1+B/lQGeuSc6Z9Q6fRpVLpoTXPBgyndyOYl12X27lakcdxMOpnvjbA3LaPR//lhKW3A1P3STo18ZMBs5YJXdDsyrhftehUUExNM0dyTyb0JEGrpwz8067Uwt48ueho4e+2erz8LIJtzYtKM7tF599foF6a1MT1u30uEiVOjzLM3w5MmK0a7IYJ7dersnjMxIfi9u29C/7uPxgwV+NlZNRmS0ctLHsiUxjOpo7RaQlUCmqkRh6Tabp96rDXCH0u4dUGZ2LARl1Nv1wnEMjx87/4BLPPiNybpMYWrs1PZAcCzO9N3+bdmG4F6q4wqYKool2s4b0ZwLK9SLkJ7Z6K2IMovbH2deeKh5Z3d2RIalmbw3lrncidELkXg+MoSiLV0Bj7KahAUlNvQfZpDLVOonY2YjLtN1a4OMlSPhs8xzJnQZFEdBsB6skC1ecDVth0bZVurkSv2kAliQiCSOVZGNGkp1ss04wmsV5bpXZ0gvVgByQt9j/3IaLxp0/O8cNqlslot9ul0Wh8KU7u//Sf/lP+3b/7d/zn//yfsY15hP3ar/0a/+yf/TMA7t27Rzqd5lvf+tZPfPv/vdYbgPWa8vv9SNLg5P5F4nK+ivpxXOevlvv3/k9ke4BuT0e3o0KvrxOwnaKcZTDdPqBXqeE4WKMeiuO+uUa/2UanV6MSBfIPg3S7EH94Tj6URzW/gHZlGbXVjOP2FvbrawgaCd2qF82Si36ri+edbZw317FsLmFaXUBanKPSFTn5KEirpyLzMo3SV0g+COMZmwhMPAhNxNIUzjITFgdKX6Y5nGgy+WyY1uY5+v9O8F2b1FklDs9Z/MYVtutFEsuGA/u6h3yqRafZpVluIhl1UwLy6P0Ii7dXkPQSKpOeytAAM/Qgiu+KTguG0Ti3ApSuWAqU02UMTvMlI7Z0a5nTh4NWSvJFBv/N6elB96aXYnSQGaiZMT3o31/g8X85Yfkbgan7AJZvLnL0J6d4dxdmCuNbQ73T8WcR/LeXJ3Rd/ut+qoWRnqiar5OKFvAfLOK/4Scfnw4jfrVPJ59HkLUSvu3JicX+a4Bgp93n+OE5vhvzCNLkqaoyI4wZwOqz0m50OP4sQrHSYeF2AKPTiGd9toDeveJE7svs7Of43u/dRaOdNtvyuEqcHeqIHevwaYOoxen9NZuaRA/VdHMV7LbZJqYXaT1LphNqlenBmF5XoBRXcDkG348PfvY5HkNk+pjM0L11G9O31TKTrU2tWUf2RQKtWYdnz4/35gqet9eJBfOc3jsncZSk3+2jumI25lr3ULoism8Xqth3FtGvLJA6zqJSlAm2yre3cKm7Mq3O4f7GNvE7p3SH+aLeawt0q01Ekx7jtTXoK3SrA7CstRnoVeu0JAOFF+dY5y3IsoL5+haCSkUrdYFoNmK7uUPtRRjRasK6vUgrmsR0a5/myxP0O5vQbiItLmK6dX3q2HwdahaDVa0OzjG2/0aT1KsVj8f5+3//71MqlfjZn/1ZDg4OeOeddwD4h//wH/Lpp5+ysbHBb//2b/Nv/+2/ncmsfdX1RuT+NasvGpfzVdYXZbAAZEWh/mvfpYaJbldDu2/HoK6wvFmn/OCQjsYCooh+3kXl8Bjr5gL1SArPzQFIacRS6F0WOpUGOoNE/iRJ4vNTOm2Z2IMY0bsRun01F2elgVD2eYpU8ILw52Ein5ygc5iRhzYLuaNzrIvD1pmi0MxXJvyRyucX6B2jdl7yQRj39mgCrpGv4ru9Ri7fJvFi0DqJ3guzcGOS2j5/GMWxOimE12uNyBr9hHFl9jQ7MyQ5cZTAeyNAKjhagOSeTD5RxnIlD3DxrQDPPzrFuzltNpo6zuC7toDRYSR2Mqm7OrsbYXmMSfJuegneGwjbM2cX2JYnpwfVGpFCbtBSO/ksQuAKyJL0EonQQIcUfhzHse5F0o1OmIvXF0iM7UPwbhTvtQXUWjWSTk0iOLl/MGCcTh/GUZv1M0XqoiSQHm6znKkSfZll+e0AKkGFa8X5Wq2XwWGg1+kTephEMWqYH2rW5nZ8ZEPTWiqdaXKy8RUTli+36Ysi9sVJ/aSgFkif5tjbi/NX/9YhGs1rnEwBymXmzXHU6tmP6XQk7GTQSbMvxEoFLZpmAbOuSi01fS5JHGtZ8I58pwQBfuWX/gS1NHqsY8lB7ooJqX3RPuWR5d3yUY4XEdQCtiUnczeXmbu9guS2ky91OHuU5PRulGaxznjP3TpvI/dy8rPQj7GkgkZk7p11Wj2B+NMkF8E0aq2a4unkc/rVOlqnGfO1VdLBC9rZkQebSoB2Jo95a4mOqKOeLlF6MWpl23cWKSWryKUGBreF+lkCw9YqF09CyBcXSG47isFM9zyB5LQi+bw0jl6iu7aD0CyjCQTQGNT02328f+OvzPwsvg41i8Eql8uIovgTTwjx+/0oisLZ2RmPHz/m8ePHfP755wB4vV7+03/6TwSDQZ49e8YHH3zwE932T6retAi/xvXD3Nx/WurHFbnDQLSYTCb5+OOPueh0sH7vH4DGhiIL1Jp2DHKC5dU65NMUg2l6Kgnz/hbUq0hmPaXHJ9i3F+lWG/8/e+8VJFmeXvf9bnrvvc8yXe1NtZnZBWZ2FyAWQbNBgQ6ECEgASAVoQDIEMEgiQjR6YUhBSS96VYQe9EI+SaEgQyKwWGJ3x7R31YnmblMAACAASURBVOVNem8qvb2ZVw9ZXVlZmb2YHezsTK/6i+iI7s6bmffevJn/c8853/nQ2fUIMqjtpk+7AMsvjnCfhHe2DgsYL0zkpN5xG7PPerogF1/EsS1PwIfYHyKXCafemE65edpZB9CrdTB6pndx0liiU26iNmqxr/lQ+hxs/NEOniuzJvLiQRGTd+pfGIsjGscN5CdeJ//tKPvPM5TiFQznYhrij+IEb0dm/s91JUBytzgn8XVqHWRa1emYG/eah91HCYZ9kVqxhckzT/HHnyRx3wjNyV4A+w/ihG5PRsx0usOZSKT0Zg73Je+p3Be4GaSSmbIXu+dAVuCan0Z5yv4kX2UxBe2o9SoEQaC+4P1jz9OYgnZCt0I0K4vZmeA1Hy++t4f7sm9OBgzeCJx6rADGozE79+NYl11z5/l1GZ0G4i+mMlK70uPgeQb3tQDqcwn6r8t7yUt/wXxB/5qHzR8ekk3UcF724TsJTQ1e83Mp+op/8Pf+hFr+zT+0iUMjS5ZD8snF3pd+X07xQMRjyVJKzLNbnY4aqdbCbJyc95AnT2xnetyxbTORwLx86XI3+PCDzdN/mxcM8TZ7TCg1SqwhO95rAfy3o+jcZvQRF+2xjNRRlb1HSfK7BUqxyqkZ3xqwUNyZ9W3Z/JaZvC21SUt5O4PObcFxa5mhQsuwMzwdmwPgveJncCa+xL7qQWYxUW+MyL1I4lhyUjucvo/zShC5005+M0uv0sQWsCCNxsjUSiy3VqlsxBmfRD1Yl10IVhvHmwlc10MIahX9roTBZURCYDBSoJEPUK9dgEEP5CoYiQxKFTx//7eQaxdfJ29DLTK5N5tNjEbjVyJz8V19tnr3SX2GelsYrB/X5F6r1bh//z57e3usra3x/vvv416/i+k3/j5DDMhUSjoDK2plC5/pCLNHRydTYDSCzkCB9foKgkxALFdQmfU09tOnOVjVl0dYliZSUOMgg/4EEPVj5dPuwfJWCt/tCQM2FkeMen0U2ol8UkuU8J5JXy9sJAncmfqbiltp/HemEp9Sr8Z+I8rRZpHSCbuRfZmaSf7ut3oodeoZz9bguI9jxY12xcrW/TjjkUSnNjHBn5elUhtp7CfRD8F7UXbux2gUGhhd5rnMp9JRGfdFH3q7gVKhdRqC2qq2kamVc52FkbtRnv6nbaJvkPWOniZZ/vlVivH54b7x52n8N4IYnQaOns936e3ejxO+F8Fg13P4Yv7x9E4BrctM9F6EQmz+9QFKySqlchurf7E80T6RruIvMwg6FY6lk/MuQGWBLwugVeuw/zJH+Pa8adYZdSyU9GrFJjtPUoTvRmbPoQCl1GJ58nUYqiRJJDayHLzIoPNZubP+ir/92x8hl0ssB7KUCvMLcvzAiF+XQKUc4dYc0mrOSrKiKKewLxF0TVjMZX+GVGwKhHpdOfVEF5tpVrJzGwr0+yrSKRdRb3zhfsdiHv78Nx/w9V8eELwTRlDI8N2O4L4RwnbJh2nZTTZZo9oUSR5W2XuaIblTZO+jQ/IHpdNZmd5LHmrnpFuLzzwDphQqOZX9KRAS5DI8N4Lool5K2RaJR3HkKjmlrdnOx/7xyWcrl2G/EUXQaUg/jp8GnmqNUznUfDHAsCdSeDY5Xo1FR207gS7gRLBakTE+NbMrvGZq+3laiSKCQoZcIaOZbzLq9WHQp9sS0dr1SEo1ja0Yar2aQfkY2XiA9Zd/Ed3KvBfybapFEmG9Xv9C/Fc/C/VOInzL6rxE+DZ4sD6rRNjtdnnx4gWPHj3C6XTywQcf4PP5To/Z8sE30P/yX2E4VCEJKoZ9BXK1AkfvEZ4bQeov99B5rGR+uInp1mW0YR/WE/bp+OUB5hXPpEOo30OhVSF2+miNagSZgCSOEUaj0wHMpZfxU8DVyh7jOiP15Z4czoR4ljbTWELTrrvciwTe21GsVyMkDo/Z/s+7MyZzsS8yHo5Q6qY/8qWDIvrIlIlQGdT0RIHuOfxc2C8QuDnrfxL7Iv3ekPD7y2x9Mo1jyG7nCC3wSqU2MjivBGiUZrvgSrEKtojz1NtkD9vZP/FdHTxKErq5IFDUb2HzfhzfpcWJ60ePk7iu+ul3F1+ne/fjeG8EZmIbZvYpUaXeGmByzg8ahol0mNzMU6v15vYheN1P7syw6mq2Tj51TOh2iNCNAJU3AB9b0Ean3mX7QQLnJS/Gk9Z/tV5FcmuxbGjzWxh0h2x/GqMvCYTvhJErZQSv+jnOLpgjuGQnvZ2f+/8/98ETvn33/+Y1GSCTSbRKs+xTbN9IQJ9AqZyAY51mSOZwei2JokB2T0HYM5VNBcAoazASBYZDgeKhhM85D1r1mjY7D1UEDLsLG8UP9+1ELJNr7Beu/Xs67QKbHx2x+yDOwZMkiY0sSoN6Mtj7TPnW5r1mKvXsQq3UKCif6zr0XfXTb3SxLLmx34wi6nTkdwrkN7OnQMy1ZJ8x3bsueqgnK9iuhpHbrdQydUobU7nP4DZR3UqhsuoxXY0iDqWZ7CznigvTxTC1XINetUnraMLi6S4GURo0p+N0nOvLlJ8fMer2cdxYopmqMGw2UZu01F8cYLu5TC9bRBd0og6HsH/nlxac0berFkmErxmsr3o3+5dRYz6nRPgupuHLr7eFwfrTJEJRFNnf3+ejjz5CEAQ++OADVlZW5r7IAM5f/TWU17/OaADDgYzRYIxCJeFofYpt1UH3KInOZ6P6fI9WqU1uI4vja9cxrgSQuhOmqJOr4jgBTPXDHI6TjKZWpoL7xHQ+Ho5gNDqNbig8j83MA2xmqqdzAMX+ELlcQGPR4VlfQuN3Ukg3yewWTr0k6WcJHMvT4Mla+hj32qzpvLF/jO96EGvIjmTQE3+RoXZQx3NuXEzsYYzQ+ixwMvmtVGv9GeM3wOHDGJFzHYS+G0Fe/PEu4fV5hib5Mk34TgSFSsEAgcEJyzIejUlu5TGHpneqMrmMsUJBt9knF6viWnHOvV7wmo+nf7hD9O7ikTruZQeP/3CXpR9hfD98lmY4Bkd4NhxVa9QQP/E2depd4jtFInem79NpLzBe90R2HyaQGzQzHq/XpbdpOXo+ZUMSG1nqtR7h2yECV3z0mvOvqTVpiG9MGbhOvcv2/ThKqwG1dbH/yzA3d1Dib/yVp/zFb308t200kKNUmRx7bM9IyDgFV69r1ZuklNcyGgkU4nrCrnlG0Kovc7BpJLWlnAFfZyuZtHLZdUgqOZ+rl83aCFmmkqHZ1OVXvv4f4dzky1phFrgKMjhOzoI5g10/AUlnyneuE9EUsiNo1cicNlK7JeKPEtiDVlqFaUOGQiXn+GDW66V3mVEHXKSep2lka9hCFqTxdB9tQSvWqxE6fci/SKJWTT8gpUHNYDAm9yzOaCDivuJD7A4wXVumk6szjBWRBAHzrTXahxmk0RjTxTD1rRjDdg/nvcvUn+1iunuFYTaHyueEsYTn7/zazwQAWSQRNhqNd4Oe37J6B7DeUG+jyf1NEuGMz6pc5u7du1y/fh3Nn5Js7P+930OIXGY8ljEeKej3VMjp45FvodaKaNQCAiAMe8jkMgoPd2h3JBrNMebrK1ivRGge5nCdZGLVXiVQ+yc/EMVnR7hvTBbpZnoKuABqhzn07sl2veM2Jq8Frd0wGQSt12NY9rP/MEHhoEQ9c4z34hRAjYYjBp0BqjPyUfpZAsuF2bwpmUZFayRQTk4WKWks0Si30J9bkNNbWewnWVWhu0tsfhIj+TI9B6YA4s+SpyAt8t4SO/fjSJJEcjOHe9U1t/3+/RjLH14gfzg7VHfYG9Ks9DB5JoxO+HaY7ImRvt8ZcFxsoXdN5SylRkH5JFhz90Gc6IJ4hZFMhjSW2P40Nve41qghfsIY1YpNjsttvBenZnzfJQ+dxnRBHg1HbN+PE74TnrBX+/N5XADh636ef28Pjd2AMzJ7/t0r7rkk+157wO6TFB1xhC0wDzz8Fz0LGTiFWsGT7+6h95oJrwdPwa/OoiV5JppBEMb82l97zHf+/Obca8AEn3WKdQ52jITNiYWGdrlcol0cEn+lJmCJL3wdAI4b2PWLmbtszoRTW0WpGGGkRq83XUirNQsWWXHuvdfCh7x/a/f0386onWZmVno1h4w0CrNdqq4lx1zUw7DVxb7mxXkrgsxuRhTk7P/ggHr2zEDwcyyY76qfXr0DMhmOayGsVyMc/nCf4/jJmBqDmsr2FGwaQ3bajT7ppwkGzR6WsJ3q9gRQWy4GsV0JUdqYNGvIVQqG9RYqj5PS8zhGjwHkMgxrYRSIDI6bmK6toNQoGPWHmK6v0t09Qnv1Aop+C0mlQ84Y93/1V1FZf7Iddl9WLZIIG43GFzKH8Geh3gWNvsX1NpnczwOsRT6rz9rmKwgCwX/xr8C5jCipkKlUNFp6FGITr6WMRtHFcTVEN1/FtupmPBwh9LqMhyPSH+8wlKmo1kVa9T6O9y5jvhJGppFjCNhR6jW0EkV0jglTU3h6hPt6CKVOjdqix7biwX17Gdv1KJVyF03Iw/6DJMnnaRIPjgjcnLJC6WeJGWmwkathj87mXLWSDWwRO1qrDue1EJsfHSGTyWYCQ1vlFkaXaSYfatgdMhyOiLy3zOYn09Ed+58eET43gHk0HFEvNYm+H2Xr0+m2w96QeqU911kYWQ/x6D9tE7k1Lwn2mwOGokTgqo+9c4Gh7VqXXnd8KqkFrgeo5qYL6+6D2IyXK7IeIrU9ZR927sdmGCjvJQ+d+hRAdRo9MgdlQjcCGGw6Dp/PJ45PXieOzKBemG0FU19WMVElmzw+fU+1QUViwWBlgOitADsP4mQzx4Tvhk7ZL0EuLOxghEnGFUApecz2wwRal5Hw7SD+S+5T/5VKOeQf/9d/yGpwsfT4ugZNCep15PLF3YLjsYBYH6AR3mwZ2N1ysObPUs3P55SVygaMQhONavJ8i6FD8mByXdTrGhTdFlr1/GsfxV38jV/8mIhv8jka7fOdZIZz3WWCAPm9HBKg8xqxX/Phe2+JbKpB/FWeo4cJ6vkGetPs52cP2yjtzp4nsd3FeTOKzG4m/iyNUinMsFXey5NB0yqTDtuNJXQOM5UzMqTJpkOhU2G+vkTxsETjzFBo160IzUKLRryI3mNmWGkwNplopsp0DpKYblygV2nS2k+iiQZRMUQV9qOUS/SO22gdeqzf+jkMl1YXfh5vY71JInzHYL1d9Q5gfYZ6mxis1/v5p/msPmvJ1WoC//JfMDa46YsaVHoVzY4RDTUc0j7KfgnHzWVqr45wry/RLRxjX55IWMfbCUwhJ9XDIs1cjczLHNW9OhiNVOoi1bqI3G5BNBjpq3QUEjX6Gj2ZWJ2d7x8wGMuIPUlynKmRfhqfmcNXPihgPtMRmNtIYT/TaZjbyOC8Mt1e7A0x++0M5SqOTvxOxcMSoXPxC9ntHJGTgcZwMhjbb6Pe7M9JUMmNLK7lWbnO6DBSLndRnhtC3Kq0UWhVqPUTD489ZONoM4c0lkhs5hZ6q9rHHdCoUagXJLrXJ2N4gtd87D6Mzz2+e38CstQ6FdlYef7xB3FC60GsfjP7CxLfh32Rg+dpguvBN/q6wjf9vPj+PoJOiXNplqEKXfOfsm4A4kBk+34M71UfoesBugskQIDqCQMzGo7Y+jSGzKjGfdGJc9VKszKffWVyGjg6Z9wvp2vsPklRLrWI3Avj9Iz5g9/5D6xfTrLizZPNLx53tbvrZNmaxqxsIY7mvyejkcD+jpUVTx6DrIU4mpfW97ZdXDiZLxh1Fzk8nF6TtboWea+HQTt77KveDAf7dvo1AaNmviEgk7cTMFdQKCR++1f+GIdrRPac7GfxmiieJPOrDGqcax6iH1xA77MjatUUU00Sz7JUCpWZETs6q5bcq9nzZz7jw9PY9IR+bpVysUPscYJGro7GqKF0hq2SKWS0MhUcN6N0BpB7maIemwJ6g9vEsDdkpJvMJvRd9U1ysmQybOsr1PdzDE5ysGwrHnq9MYNCHeeaG000SOnpEQa7FqXbhdTvMUagncgzqtUxhFzooiEcf/6rGR/weUqSpDcyWO9M7ovrXUzDW1Zvq8n9x/FZfdZSO+z4/vk/ZyzT0eurkOt09AZ6xKGIq/sMKb2F7e5l2kdpzBEXx6/i+G4vMeqLyMQhSp2KeqyA52SQcOlViuCdJcbimOJWBueql0FnQKfaRm/RnnbkpR/H8J6Y3MfimH5jOuJm0Oqj0qlPtxX7IsP+AJlqeklX9yvYo05sEQfmVS8v/2R/JqYBIPZoXlI7vB8jdCuEXCnHdyvE1idHJF6kWXlvNph02BvSbvRPYxocETuZVI3UVh73Bc8cICvGyjiWXagNagZj6J3IXcO+SDlTwxGa9T55LrvZ/OQIs9ey0MfULLcZq5RozYvb0Xfvx4h+LUq9tDiUc/9Rcm5Q8tmyeU08+qMdlu6F5zxnCFA/nkQ2VLJ1cqkakTPdgN0FcQkAqZ086VSV0M35OYyRmwGKiVkPUTXX4OhVjoFMwB6eB0aupcXdhku3AqR2ChzvP+Wf/ua/Zzk0BXvD+vy+xZIBLjiSyGTgNLfY25sFzuJI4HDXwgXvhJUxq4/Z3Zn9vJLZMKueWbbPoTmm21PSbqsY1CSsxvmYi6EoY1QUMajnIzJqLRtmRQuFYsIWWYwdfutX/oRRf4DGpMG+7MR/I4j7kg/7FT8Kh5nqcZ/YqzzHuTrpVzn6J2DW4NDTSs4COKNXNyMhqgwqClsZrCturFeDVKs9uvUunTPBrr5LHsQzoDtwJ0ofBYlHCfrNHoEbAXrHk+0VWiXWFQ+5nQLtQh25Sk47UUDjMqMOepBLY/rHkyYQx60l8o8OEBs9VFYdw86QyosYtstBevUejVgWncNI8zCLOWRH5bKjNGnx/tZfnTtvb3ONx2MkSXrnwfpx6vN2EL4DWF9+vQ0MliRJlMtlxuPxj+Wz+qxlWArj/f3/lrFCy7A5YKQwIBPUdIYaIqYU2twzBhoDOq8NhVZFbfMIy5KbdraK82R0Tfl5HG14cgdWfBHDsTphbbJPjk4zqyr7eYKvjeWSRDNTxeCYSGHNwkTme12Vw+JM914r3zgdLAygt+nRui0Ui23SWyeBo0+TLL03659KvUij98xmWVUzNXzrEfYeJk7/b//+0QyIAKgXGhidJqwBK9V6n/aJ1Hb0LMXyvXmfVvJlhsh7SxTOAYlOvUevL2I8YQ8cy1YOnk5YitR2HueSE/m52IjAdS9bn8ZQ6jXorfPjQFwR+wQgvbfY+B687OHxd3ewL9nRLBi7Y3AZGYljtu7H8F72oDFMO+ii60EKZwYnD3pDth7GCd8JEb4xG1Z6tsI3A+SOyuw8TRJcD6A7Aw477d7C5/gvu4m/KJBKVAneCWKwT45VrVcRf4PU2Ki0WYsU+Df/6D/gts2CipCrzFFsCo62X9mJ6Pdnt7EVaXcn50QUZcR2Lax6Z03eK848lepkXzY3XQS1s68BYNJ1yaSdtGpanJb5odXjsUA+72fZU6FanmUBmx0dssEI3TnJMGiN8c2vbVOp9kjuloht5th/ECf+LE0tN+kqdC05yJ+bNelZds6AKblCxqAwBXUqkwbrRSdDvZrUTpHU8zQaq4b85hm2Si6jnpiAVfuaF8Oyh1q2Tv0kBkKQC3Tzk7/bLgdRuuxkHx+ddiL6rwXQ+u00G0Na2SqtWB5BKcd8fRlpMGQ8EJGbdWg9JmrbKVQOE6N2h1aqhPv9SzT301ivRpEUStRGFYG//avI1YtHRr2t9XqtOX9T/I7BevvqHcD6DPV6FuFXdZL4a59VLDZp675z585PfJwCgPnWDZy/+duM1GakdoeBKEMmyBhIKjyqFBFznuTHu+iWA5ivLqNSgsqgofwyhm99AjbGpRYGj5mxOEZsdiahkZJEK3uM/gRIZR4f4bs2ke56tQ5Gh+GUQcltpAidAS7JRzEMkemPTuFVlqWfX8V7K0ou12T7hwc4orNsRPxJAu+ZcS3iQETsj069RI6og74gI5+ozvmLMls5XOfS35uVNsaQg/q5ocQ7n8bmuvaW7kV49P9usfr+PPiq5RuoDBqsPguVYmcmUDS+kcV32Xd6HoxuHYfPJ+CiEK+gMmrQWaZgRRAExkoZo9GY7fsxondDM4yaTC6jfcIyJbbyaGw6TK6pgda/5mb3jHR49DKD2qbD6ptkfpXOGqLP1PaDOGO1Aqt//k5bqVaQOpM6vvs4wUAmEb7pJ3jF+0ZQ1utNAMZ4NGb7QZzjVp/Ie+E3So2hq16C2sf867/3/2DUL5YidbQQRzKODlxc9M57zPSaAcWyk+FQRnzfxIp3fjC2SjmiWlCzuenksm+xT20wVCCrtWjXFnu6dvc9+AwT8O/RFtjem9yMdHtKOnUNBuW8ZLh76OMv3HzGB1f3AAhf89NtzIJTk30WcMsVMkoHs+c3eD3AoDfEczOE5aKPZlukHq/TKU5ZNrvPNOO1MkdNjFUyNBEHqa08coWMWmIqQQeu+RGHIuZLIVIvMpjsOkYnPjiZSs5YkJF9nmbY6uO76kdQyFF6XQxbXWpbSQxRD3Kbke5eFl3QhXnJTTdfwXJjhW4sjdrnRhgNUeuV+H7tOyhtPxum9rMliiIymWwuULTVar0DWG+odxLhW1bnJULgK8dinfdZvR7COR7/iJEff8Zy/tI3sPwXf4WB0gqSnMFQwQAjfcGIaZDg5oVj6q8OGEkC2YMKlkvhyfiLvTTmsAOpJ6LRKZEpZLSL9VPfVK/WngFS9VQJw4kpvLSbI3wmZDTzLIH5jFw0Kg8wB2z4boaxXPCz9Wmc43KbsThZGFLPUyy/P5X3xuKYZqmF/oxRuH/cxxqyEloPkU3VqKRrVFLHOCKOGWAy6A7pdwanxmqz24Qol/Pq+/tcWACaDh4nCVyZRFVEb4fZ+Hhift/5NMbynXlmqRirYF910WvNy1iHT1OEbwUR5AIjuYA4nH7OhVgFjVl3yggt3QmRPMNg7DyME14PIDsx8C/fDpI9mi6M+ViFoTQ+jWgQF9xMFOJVmu0+ax8sU1mQOQUQvRlg4+NDKtU20Tuz/rbwTT+Ncz6qRqXN9tMkaocOo2PeuB287CV/OMv29TsDth7GyRdqLL8fRqWd+t0EQeLbV37A7/zFTxmP3/zjadU3efqpnag18cZtPOoUOxt2lt8QtQDQb8hQDRczb+JITiphI2RvYJSGdHuzvrytXR8X3LP+uCVrhXTeQj5jxmmYB7GJYpgV14Q5/NVvPuJSKEurNAvCdBYtmXPMXuhGgM6JpKvUKfFeDyAp5XTEyTWafpUleMVH60xmm8as4fhgun/WJScanZ5qqkn1cLIP3caUlZMEAdRyms0R2ZdptBYtla2J39G85Ma7vjxhswClXoUkinR6ErWjImr5GMvVKMepGsphD3XEzXAo0T5Mow37UQkiklKD3qZBppLh+cvfQrc8H3/ys1CL/FfwjsH6UfUOYL3F9Zqq/aoArDf5rJRKJYIgfOH76f+bfxnjN79JX2YEpZ5Rb0S7p2GkMkG3wY1wns7WFvYVL+kH+0gaLV1UaJxWFEEL3UoD30mIZ+lVkuDdCfgp72YJ3p6AlH6jO/FjnQCCWT/WiF6zg85hwHsjhHnFAwYde88zJF5lGfZEht2JR+V1xR7F8V+d+n5alRamMx2Dco0cSSFHlCsYnIkPSLxMs3xuKHQtX8fqNWP1mxkIAuX0ZCHcexgneq4jcCSOySeqLL8XZe956vT/JUni4FmK0FXfzPYr70V48t1t7EsWhAXfzr2HCS596wKV5DyzkT8qo7HocIRtHG7NS2d7j5P4r3oxOfUcbc930x0XmlQrLS59c4XEznw4J8CwP2T3ZZqVewtkRwHqJ16dXrvP5sM44dsB1DolCrWc9MHiOIfgRQ9P/niHRrvP8nm/13nv10kt3wqS3iuy8ckRokrG8nthjBaBf/abH/FLl3+IWd/jIOZY+NxmW00mYWXZXKE3mB+WDdAfqsmnLejHi71kAJt7Pi66ytg1oznwJIoyMlkPEcfk2rDqeyTi0/3Z2vOy5p4/HzKZRDlhwW1pzT2WLHrxafK8RvxymcTv/KWPUDQOZ7bzr7kR+7O/AZIk4V8PY7/ko9Ub0+2KHHwam5m5OWjM+sMCFz2IvSHOSz5Mq14ElYrsy6lc6Fp108tO9tMYtWO54ib1IMHgJBfNFDAwEkdYroYoJ4+p7U+eKyHgvRkhu5GhX+/gvuJDbtCTf5HEddHDWKOiEati8RmRm0wo1TI6xTp6jwlpNML97a9huft2DnH+LLWogxDedRG+jfUOYL2hzjJYgiB8JXxYnyXP6scdl/N5K/q7v4Xm2k36opyRQo9MkOjWRBQGPRIS1zwpNNUYOqeR0vMjzH4rqYeHjCSB47pIrdTG/8Fl3OvLiN0Bzkt+5GrFvB/rdgSZQobeaaQ/6KFbtWK97ENhNKHy2Nh9kmL/UYL0RobwmQT0Wq6O80xX4Xg05jh9PBOVkNvOEb0TxXvJi6hScPAkzd6nR0TP+az27h8RPRfJ0G32MUedM3P/pLFEeieP51wQqM6kpVRsozHMyo2j4YjsURn38mQ/Q1d9vDyJd8jslPFcds4Z5b0rTh780Q6eK7N+ndeVPypjDlmRyRd/tQ+ep/Fd9zESF7Ocw77I0X6BpTvz0REAoes+jgsNXn16RGQ9gOqM+X55PUg+PjuEeftRAoVFw+rXo9TL86ABgBOQ22312fj0CEvYinfVhWfZwdHGfJAnTPK6XlfruEN+6yX/3d/6v7gVmfqglpwVas3Zc16s6mmXNYRsDcy6AeligPNVb6mp5IwErXVC9jrx0jxTsrk7AVcgYFJ3OEpMP/PRSCCV9REwzgKoVVeZeNbD9oGHNddisLkX83HZXaVYng3HTResuNQNZOe6gFt9I7/9Cw+wGybAViYXqCQq6Ox6/DeD+NbDBO5G2HucYu9hguRGFnEwQn2uEVlYAwAAIABJREFUMzVw2UP5TLepXCFDkglog07iGzly23nkzF4zWq0CvduM7UqQwkEVRe/MHEOjGqk/QjIbyD1PYwjq6FZayI1qjBe9FJ7FkEZj5Co5CrWS3JMYMqUclV5Fe7+MMWKnU2wwqLcZ1ZvofA5gjPsbN3F+672F5+5npRYxWJIkvTO5/4iS/gx/vsh6B7B+RH2VOgk/a57VZx2X85OotX/1j1FFVxH7EqOhgKA3MW60GKBGkMGKIUbQdIwgSHQLxxOQlKzjuxmiclQi9fCQcqZB7EWW42KbvkJLFyXVchdt1MtIryf2Kocy7CSfaZHZqiIT1WQ2ixQOy6Sfp1g609kXP9cRmHqZZumMNNipddCemTGos2gZjiRGGhXt6tSrM/FZzbIfiVfTSAbvmpvKcYeNP9mf81INukPa9S7mEz+TyWmgMxBJ7ebRmHWnMQ2vq9fq0zzu4r/kIZOqMh5NF7HkRoGV96bHo9IqaXR7jMQRiVclgrdmF2GApfUgT763i9KgXjj2JnDRzcM/3MboNmK0zRvjl24FyCcqbD6MsfL+LKg0OvTsn8nE2nmUQO82YvO/9mUtlg3r5RY7GylW3g/PG/XXXHMgKnNQ4mg3jzVixbRANly+FZgBcpfDBf6Xv/sfibhmwZ1GNSKTmX5HElkrqh44z3TyBbQZSsfT9yjXdAybetyGqfRlHFbpnGGoDnNRLp6T9i66SySzVsZjgYNDNyHTIllRoFlQ4ta2WBQ7v33kY9UxMYj71BW2DyY3GqVjA2bFEKXsXMZdx4C8K+I0dfjd73zCpa/ZWfngAgOZnFKhzd7jFPsPE4jnAl1tfguZc+dcdTJYXWfT478TwX83yt4nsVPQ5Vl1UtyZsp6WoA1JraRa7pB+mcZ32UvlJOldppDhvxWhGq/RLbRQaBTIawNMKx6GYzkySUTsDpBZNGhWHBSfx0Euw3kzRO7+PnKbDqHfRxyIWCJOlC4bCqWEff0Cnu98a8F5/dmqH8VgvZMIF9c7ifAtry+Lwfpx86x+mvspCAKX/u0fIAtEGYyUjDs9+iob6mGX47YOBAE3Ca4vtxnWm+gtWgS5QOVlAvdlP8POAKVMQqVT0So2sAUsjMQx9UwNmTRhNHrNPs1U9TReobRfJHJmfE3iUYzAGekvs5GeyaaKPYwRuDZlKQr7BSLrYcJ3I7SHsH0/Rmoji8k3BSOD7pBBd4jeMgUgw96QTrPP0ntREodlWrVJ99XugxiRW7MsSKPUQmPUYHYZEbSqU79S9qCIM+qYGwzdbfaQ6VUL76a2Pz1i5aQL0H/FQyk19eUcPM2w/N6UXdFbtSSPJsxIIVEFhQyLZ2pclytkdLoDJEkifVAEtRx7YHpHbHEb2X4aP/33xieHhG/5T1kq15Kd/rn4hdxRmdpxh6vfXKGcWWx8j9z0Uy00ePnJAUa/Ec/yFLzKVPNeEwBX2MqDP9riuNUheMuDQj1dcLrt1/sg8e0bB/zLX/9jLIbFPqg1b5Fq28ZuzIVL0caomd1/pVyiUpoArFzJiNCSY1XPMm0W3YB4ZpKptrHjJaJdxKoJaGUKjjIhVlyLB2YnKz6WLU3Kpfm4iZ2YlwuO2ectW2psH3mhr0Cnmv1Od4caxkMdBs1JYKmmyXc8/45OPkM1Pf0cbH4LqXNgyuE3zzTs2ENWxNEY57UglWqX/YdxaudG7uhPOkjlKjme9Sg6p5H4w8mYGwDFCbtlv+DFGHGRfRo/7VgMXPdjiHgo7pVQ61R0Y2Vsl4MIMjVSto5cr0az5KD2Mo7gMqC0axCHQ5ROA8PRCKVKwBB0Evpbf2Hhef1Zq0Vjct4xWG9nvQNYn7F+2mnunzfP6qfJYAHIFQqu/E9/gNwTpCfpod+jhRWDsk+pYZjIq4MGd5eK9BNJjEtWpLFEr3CM3mminq7gWZssXsWtDJETBqp8UMAcnfyYiF0RtUaB4mShTzyKETmR7KSxRC1TxXwi/Yn9if9Ke5KXJY0lKskKZo8JQSYQWg+TT9Xpj6Bdn4CkYW/IsCvOdOHVcnWsPvOpR0sQBBxRB5VKh/GZxWkiCxZOZb7T5xcauC665ySz2MsMkXPDnH1XvWx8eoTGrEW7IBV9+36MlZ8PsrkgUHTrfpzlEwBmj1hpnMkrKmdqDEdj7CcdfSt3QjPG9nKmRrPVw7c6AaS2gJn+ObZj50kCo99E+JqXnUeLDeEjccTG0zgr74VQqGavT61RTeyMHyx7VCYRK7DyfpjgRTeHLxZ33xkcOiRJot+ZjM8ZqWHlXojIVS+p3QIa5ZDf+0v3+fu//ITD9GK5FEAmg/09E0umKirFYkFg1VXl6ZYfnTjGolvcdbhiLfHoRZDLnsrCx0djgVxGS3O+2RCAdMOPW1FHLoOwtUmsPGU+E9UQq/ZjzrNafVGFqq9DFGdZz/5QTrlsxCSfBYIatcB3vH+ISTMFm86AeaYLUGfWkjkJKTX7LATvRjB5LcQ2csSfpRiLYyLXAxynp2N+7EErhZ0cnlsRRlod5dQxmTN+Qu9FN41cHefNMJmdPAaL9tSHZfBaaFc7pB/HQJKw+UzYrkbIvsriitpRGbXI9XrMGjXmVT9ajQ6h02c0FhiPRTr1Go1eg8p6kN3dXTKZDI1G4wtt5PmyaxHA6na7iKL4hXSH/yyUJPG5crC+6GCAdwDrR9SXMY/w884NfF0/bYAFoDTouPw//lOwOOhKRhgOaGHDoJeoNdWoZT36XZH1QBaLVMV5LTDpGrRqkStk5F8kCJ9EL6QfH2E8iV1oHRwTPklVrybKp914AIXtLI6TTKxurYvWpEF+InPUc3WcETuvP77RcITrohdD0MHWwwTFZJX48xS+M5lZ3eMeRqd+hl1Kb+VYvhNBY1Djv+5n46ND0tt5ItdmGat+Z0C70TuV5DQGNQaviWff22V1wfDl3YfxU2lx9WvRU+CUPSxh8ZtnuuIAzB4Drx4mca8t/nHduh/j6i+tsfMkNffYcaFJuzMgcsPHzpN5gNSsdsimqlz5xgqbj+ILXz+9X2Ssk+FbXWwaj9z0Uys12bh/iMlvxBWaMjShKx5a9dkAzZE45uUnBygdGoKX3edfDlfYyt7T8+OBery8f4jMqOBrH2r5t7/xXT68PNkmam3SHsyHrQ5FGYfZCLesFQ6ytrnHX9deyollKKFRLP5+j8YCe0kvNmHMaEFn4mgssBtzc8HRZM1RJ1mafa+DjB2HVEMum/6a++RFCk0n+ykHPlmROXA1lJMvmvHpm8gHGurtyfd/PBZIZR14jee6MTtqGMiJOur8w194gE3XQWfWkDrXTRi86sVzxY9lyUU+VSN/UCJ2Lsl/1J2yfIJcwLnsRDAZOHiYoFVu4QqYkc5I2WaPmSECqadJdFYtpa00EgLu9SiWoJXq4UQutUTs9Ptj0o9jGN0mxoMhreMuOqsWQSGntJ3B4jczqPSwRZxo1Rpcfjt3//XfZWl1FZVKRbFY5Pnz53z/+9/n0aNH7OzskM1maTabPzOg600p7sA7ifANNUb43H++yHoHsD5j/TQ8WMfHx597buDr+rKkTI3TypX/4feRtEaGcj0jUaIr6pHrtfQ6CgSlDEmSuDDex5B7he/ra8hUCgLrEQDyT4/QBwwgwajSw+KfHHfxVRrnSe5U6lmC6AkQG3aHII5Qnwx1Lh0UCZ/p4EtvpFn75hrBu1E6Y4Fn3909jVYAEAcjmpUWJudUQivsl1k6Z2ZvVlr4bobYOwNe9h8lWPvabGdhvdhEY9JichoweEwktiddeDsPYlz8+nx8w9YnR1z79kWefzzbAZbczuNemYaKKjUKhsKYfkckvV1l9e684VprVvHk4x1CN+fBCkyiEEQ5OCOLQYY4HJFIFLj4fmTh48u3/Gx8ekjsMM+F874su569F9MFOnNUIl88ZuVeCINVy97LedAHEL7s5ekP9tjdzhC9G0RvnQIkk9PAeDx/axm65MF2/J/5R+v/B0HH1COlU42IZ2aP7bilIZ10EFZPjOh6WDj+ZjcXJGLs4Ld02M/Np8sPhnLS5SAr1jp+c4fN2Ow5Ho5k7MXdrDompnuZIKAaQm8wWSAPczb8+h4K2ezxyGVQLRqwKYbIznVKiiOBVN5OwDLxihkVPepVE72Bgr2kh4h9toO0O1DQ6RowyCfMldPY4R/+4gOuXlMz7A6xBq2E70ZwXfKR3Cqw9yBO7mSuo3fZOZOEH7jsoXhQRKlVErgdwbLkZveHh9Tzk/Nt9hjJvpywjrYlJ6H3l9n7/h7dE8ncu+pGbdRivuCldFCk9Opk21UPap2a0tZErnRecFPYyjLqDdFZdeSfxfGuRyg+O0IdtTLuD9DS5+I/+VuYnHZcLhfLy8vcunWLDz74gPfff59QKIRCoSCfz/P06VN+8IMf8PjxY3Z3d8nlcrRarbcSdL1pDqFGo0H9Mxaq+rNe7wDWZ6wvEri89lk9fvz4zzQ3EL4cBut1GUJervyb32Ok0iONZYhjOYO2iKjSoRiK1HonGU3GEubYfRq5MqmdPPqrXjQRK1qVEr3DyLDdR6mSo9QqEfsi497wNHIh/SJxmtZey9TwrLhOmariXoG1b10keDeKwmbk+R/v0euP6J3MXjt8nGD1jOm9WW6ht2pn/D0HD2Ks3Isgk8tYei9K/KDM5g8PCF+bjVPY+eRojp1qVds419wk92Z1oq1Pjlg7lx4fvurj4fd2WF2QhXX0MkPwqh9BBqagnnJ6uqBuPYizdsb4LggCFp+ZTnPA/rMMnstWpHNuruV1P5uPYqRiRZZvzXfNrdwOkD4q8eL+AavvhWZiEhQqOeXSZHEVhyNe3D9g6e60e9CzYqd3zpfV7w7ZeHBI+E4A5Rs8VqI0WfgkSeLVoyM64yGr74VwhqzsPp1n2lTyEX/t6if8wXceo1XNX9+rtgr5E7N6omBGrGkJmqdmdo+xx2Z8OhZoLMHzAw/LuuppZ17YWKfWmwLuTl9JKmPHp57KgkuWFsXa5H2GoozDhJOVc4DHru9zkHQSy1vxavoo5fNgMdt04pW1KVUsnMUAYwkOMy7Ctln5z2Po8XI7RNQ2mwYvjgQKZQt29WzEQkcy8R3Lf+TK6oBs/Jid+3HUeiWtMxKyxqgmey7OQ2tQ478dYSBTsPcgjsGoZiROz7c7bENj0eK6HiazX2FQn76v3q5HAhqNPoXtHN4VB2JfxL2+hEylpLydQa5WEPrgIpmPdxHkAv57y2Tv7+Naj9LYS+O4sYzQ76HqN7nwT34dnWeeNRUEAa1Wi9vtZmVlhfX1dT788EPu3btHIBBAJpORzWZ58uQJP/jBD3jy5Al7e3vk83na7fZXNjD6dS1isOr1Okaj8XOtCf9/qM8nD56My/kCS5C+6lfbl1iiKJ6Cld3dXURR5MqVKz/R14/FYsTjcdxuNxcuXPgzj7Z59eoVarWa1dUvb7J89fk+r/7V/4q8U5/kWA36qLSgEPvUBypcxja9oZwxSl6V7BR6ZowhJ8X9Au5LXuRKJSq1HKVBQ6faYtQX0dkNlBIV5Ao5WouO4XCMXKUAmQy5Xk1yM0clXUOukuOMOsntThgktU6FwWWkGJsskoJMIHTNR+LMgODlu2EOz/iL3MtO9G4zL78/bfnXGjWYHXqKZzxVCpUc36qL1FYOu99CbzymmKpx+f0ouw9iM+dEJpexdM3P0fM03hUnuewxnVYfmVzGyo0Ah8/mmZ6lex5272dY1HF29WtL7D6Ic/H9KE8/2Zt57PK9KEdPUkhjMNq11Nsd+t2TNG2ZwOoNP/Fnk/Nj95kpVer0+1N2dvman0q8RrfZ58L7YTbuz7JsAP4lJ1aLnp0XqZnOx9dl91kolmroDBrCURcHT6fHt3Q9wM7L+QHTAOu/cIFGvkVya5rDFXU0+Gd/YYNGb8y16JtDP5MdF/3BkJCqtdBv1R7IQTdAoxqxn3Cw5piPjdgrGbi8VKTeUdNqWnBp5rdJHOsJBarEU3aitsXRE7Giib4o41LgeO6xRMmMXTFGJZ/8tuwfG7gamRzvVmLKhp2t3ayDJVOLeEPPaqiITJgc337aSeRcZlayasKlGSIXJEZjgf9zY5VPkwGcPhPHZzo9L7wfIX4iTzuWHFgDVo4exifsMCdMYquLOJjsp8Ghx7PiIvkizaA7JHjFw/HepLPQ4DHjiDpIfDq5Vqx+MyrGyI16yodFXH4D45EEahVaQWTY6mEMu2jtJLBcCaEc9JAUcnSKIf1shuv//d/BtX554bn9rCVJEp1Oh0ajQbPZpNFo0Gq1EAQBo9GI0WjEZDJhNBrRarVfGfDy4sUL7HY7gcD0Zuh73/sev//7v8/+/v5XZj+/CvXa+P+/X/mb6OSqP/0J56ozGvBbm/+Oer3+hciv7xisz1g/SZO7JElkMpnP7bP6UfV64POXWbabq6z9s/8GUWtlJCmQ1Dq6fRXtsQadekypZUCuEOj2BW678lyx5BjVGhidRgrbOWQKGXv342x+d4exQsXhqzwb3z9A47YS3yuz/TBJuyOy+yTJ1idHvPruDkbHxP80Goxon5H++p0B48HoNOFcGkuTtPTA1Cd0+CiB94oTlU7J0r0o8YMShy/SOILTbbrNHoP+aGbmnzgYUcnUWLkTptbqUzzp8Nu6H+PiOQlxPBqT3M1z4V6EcqVF54RVG4/GxDazRM4FjvpWHew8zs6wVWdr836Ma9+6wMtH8+Bn62GM6K0AcoUMq99yCq4AxmOJ3WdpPJdPjk0nzYArgMONDFqbhtBlN/tvkPgyRyX68hHLC4Y2A1i8RsTBiEa1zcaTGEu3AxhOmgjancUdf96onUd/ss32VpLQLS+uoJlfuXnE//zXPsFvbHDJ2SReMi587nAkUMkBbeGNZna9akS25ieVsS0EVwAXnC2eHrhp1/QLwRWAxzRgO7HyRnB1VLDgUo7xqkc0+rNRGcmyCdsZcAWwam1yWHKzlfQsBFd7OTtLpkm0Q8TUIVmZSOFH1cAcuMo3dFgUIvITACaXSXx7Lc6v/3yeVn7aGahUyakmKwTXQ1iWXaT2y3Rq3VNwBeBddiAORsgUMgK3wziX3Rzcn4aTKqQxglyGdz3KWKEgdcbD51p1026JFHfzhG8FUZv1dJoDLA49gkyGiBxZv4f5YgiFDEaihLbfgHKR8XfWsV2/sPDc/jglCAJ6vR6v18uFCxe4c+cOH374Ibdv38bj8TAej0kmkzx48IAf/vCHPHv2jIODA4rFIt1u90tjuhaZ3F+nuL8DV29XvQNYP6K+CJP7a5/V/v7+5/ZZ/aj6aQWN/mnl/vo1lv/hf8lAYWCIEkmuZChoaXUVoFLQ7anR6mW0BkrCpga3ddu4zCMUKjnpp/HTgczJxzGC1yd3cvEH0xDQ3G6e6K3J3yVJonRYOjW9N8st9BbtaUfbcbaGM2g9TYXvNnoIMuHUv6VQTSIUjVEbLz8+YiRKtE88Jfozw4ir2Rpml2lGUvSsOCmUmjOdhQCbnxxx4ZwsaLTqKJTraIyzd1rDvkjqoIjVP5GebD4zhWIdURzx6sERa+/Py4hag5r93QwXFkiMANuP41z+5gqxvfnEdoDEVomrf26FbGxxpEAuUWGsB8/S4g69pRt+Xj2K8fLJEct3A6jPGPP9qy62zxnqNx/H6Qtjbv65NVIHi1kovVV76r0q7e3yu7f/kN/+ud0zEpuA2Ju/Sy01NSTSDq7YeihGchYQagCkqgZM3QGS+OZO3ETFgH6gQq9c/F1vdJWUj+0EhRr5+ryxPtV049WIqBQSOtWYRsNwaoxPV0yYhTFq+fnvp8Cwb8Ooml880y03YUOHsyymV37M/a0gfuVsR+NxW41qLEOrnJ6A7lBOu6PmiuaQv/feSzyGNs5lJys/v0KzJbL3KElur4g7aid9JqXdYNORfZUhsB5GZTVQSlRJnpFuQ9d8jBHQeKwcPoxjsesYiyNUehXRDy5w+IN9eo0uaqMamUJGdjOHQiVHQOI4W8cWsTFCRrtwzLBaR9spQ7tJ9Hd/FcWKb24O30+qZDIZBoMBn8/H2toad+/e5Rvf+Aa3bt3C5XIhiiLxeJz79+/z0Ucf8fz5cw4PDymVSvR6vZ8K6HqTyf2dwf3N9S4H6y2vP6vJ/Sfps/pR9VVgsF5X4JfuEf27f53eSElnKCCOJFAoGXYleoKWUWeEpDcxlgSMqiGh7i7ry0MEJDLP4viv+ZHGEsexMrbgxMRc2Mmd5lzFHsVZOQEx/XYfYTRCe+LVyu8XCV+fUuzpzSwrZ0JIy8kqvgtulu5FkBl1HD4vktur4I5OAUU5dYw9YJkJx0zv5Alfm8z0W3k/yosHMbKHJcxOw1z3397jBNEbE7bB5jPTEoek9ou0233svllQPegO6TREQpe9SEpoHk+9La/uH7F2zoDuvmAnn67y/NMDLn99ee7cu4I2Hn20jSNkPWWOzpbRqmPj6RGByx70pvnHfRfsvHoUY2czgfeylbOZx3KljGplyrS8ehRD7dDgfR1VoWDhQtSqd9jdTRK+4cbhm83zCV5wnWRwSXw9XOJ/+5sPuOWfB38Ra5et9NTQvpOxIu9oCJkmjKDf2Ofg2Df3vMOaB6sgx6IawECxEITtZC3YEAia+gu7DsstDe2mCaeyhVoh0W7qZroKd3JW7KPWjKHdpWrxKuEkVTVgkKQZ8PO6tvJO/EIFeVeg3Jqy2PGKGduoMTctaLdg4bK5x27GcbpAtPsK+j01RvX0uz8cCZTqBuzaiUfOqe/yG7d3ifRfknmVpnOmu9Ns051+ZoJMIHwziNJi4OBRglq+gTtsOzXDa81a1AY16Z0ilUQV97KT3Ms0zos+0GrpFOogSWitOnxX/SQfHCFJ4LnkJf00gVKnpF9r0y7VMamG6HtVGA1Y+Qd/Hfv7lxAE4QsDWItKJpNhNBrx+/1cvHiRe/fu8eGHH3Ljxg0cDgeDwYCjoyM++eQTPv74Y168eMHR0RHlcpl+f3Gsx5+lFpnc3wGsH10Swuf+80XWO4D1GevzMlifN8/q89ZXhcGCyZ2YeNHF4OcvMUbJSFQgyjQoZALiYISIEkW7SaFvQhQU2HQ91PUcv7haxiDr0UxXJhJXq4ccCY1Rw7A7ZNTpoz9JIU88TZzGNxxnarij9tOurKPHiZmk9cMHMVbvRbAFLBMD+16R4RiqJx1Sg84kYNR0Zgh0cjPH8q3Zzr1iosqFb1zg+ccHp/+X2i0QuOg+ZclgEkeQ2iuwcjdMWxxSyU3ep1ZsIkoj9JbZjqB+d4jcoEBc0Pn06v4hF78WAeDS16K8ehI/fez5J/tc/vpUkpQrZMi0cnqdIbGdHCqTGpt3FtB4lh3Uq232N1KoLSqcZyRTpVpBqzNZOCQJjrYK+K84UesmANK1YqaQngU/hVSVVKrIrW+vLZxzCLB2J0Q+VWHnRYJCpcqlr4VPWUa5Ro5NO+BffHOXf/pzBwvjEF6XVTWJMdhI+ljSiRhUs+fLo2jSOEleH0vwJOYkIDRPk9B9hj6Hx7PS5suEg4huiPpEXrxkb3NYnC5o2ZqOcVuDXT1dUIPGPq+SE1C5lbUS0fVRLvhaGwSJcsmIboE5/9X/x96bxkiSn2d+v7gj8qzKuu+7qqu7q6d7pqev4QzFUyMtaVHSaEWJlilS65G5XEprC6YEGPCujdUFaCVYsLygbUHWsStDhmjYEGyJJkAuOT1939113/eZlZVn3OEPWVVZWVk9F3suTT9AfaiMyLjz/3/ifZ/3eZcS9EZygEBU9TAzBllTYTVXRa3kVGxvciNOe8QEBDqjFrMb9eQsma10hJpQqdjAD2AlW0NjuJSONV2RbE7m5a4lfqH1Gh3xIkmua69m/t4isirRcbaDRG8941emSe56YSVa4izeW0CURdrOdlLX38DU1Zl9QhaJqTSe6WBxeJWaljhbE2vUHW8m3FTN0s0Z1IhG14t9LLw+Try9lpr2GgTLojFsoRV2EATofvUVmj99Fs/z3lNy9ThIkkQsFqO1tZXBwUHOnz/Pxz/+cYaGhkgkEpimyeTkJJcvX+by5cvcv3+fmZkZtra2sO3H9698K3ijFOFTfLjw/j/JH2D8KCnCgzqrra2tJ6qzeiO8n1WEewiCgNXV1X2N2Uu//iX6fvUVAs3AtQJyvoZCQMFTMT2FmFBgdSdM2gtRZdgonslLrcu0S6uoCqhhldTiNg1dtQgCpNfSJBrjSLKI7/rsLG9TtUsgFh8slbWXmb4xR/tQC4nWarrPd5FOmwghnYeXp8mlCoxdneHYARK2vZomWhNBOdBjb/z67L6mqudsOzt5k+vfGWbwQrnOavLOQkVlYXVjlLWNFPKharqt5R0kQ97XhgmCQOczzdy7OkkuZ9LQURlBeXBlitOfGeDO9cmKZXdfn2Rw9xgHznUyM1YiOStzW5iOsx9h6n+unfs3S9qtlfktUpksXUNF0tH7XFsFgZp8tIxeo9PzTAtr80e3xPE8n/v3J2gYiFPTUj4ZGBGNmYlSxZptOdy+Mka4QePUS1105W/yP//UHT7WkcRQAuYeo7UCEIKA8Y1jDESPbjkTkj2m1uLkbYnh+VpOJgoV6zWQYiun4QcwvtnGsSrzUJ8/ASMQsRyR2c0ohiNTpVf+/vvjeR5tdNIdtpCOaEw9lwwTCSRaNJ/1bHlroodLCfrjZtmx1Rou0yt1yKa/T/b2MJOM0WzYZcdZrxQYmW0keiilObNdS6NaijK6vsBaOkztbjSrPmzycvcCX+idpatZpP1sB4GhMXptjmjcKNNi1TbHaRhsQq+LMXVrjuxKySm+/dk2ttezzN6YQ1JErM00jc92sfhoBdl1iLVUoyRipCdXqBtqJ5LQ0DYWqHa3IJsBWaLty5+j/XMXAPB9/117+fxRIUkS8XictrY2jh8/zoULF3jppZc4fvw4VVVV5PN5xsfHee2113j99dd58OABs7OzJJPJt5z9CILArpHZAAAgAElEQVTgyBTh0zY5b4wPaorw6Brqp6jA2xG5b29vMzo6imVZDAwM0NTU9J6JE9/vFGEmk2FkZIRsNkt/fz8tLS0IgkD85z+J6/pM/On/jeTa7LgSMd0mL8SxrAxRw8c1IWPEcK0C1WrAQFWSWnw2hwZJFlQK2zl6L/QwcWWK1dEVup/vYuLaDPlUgdrOEGpIwc47rE+uM/BSH47p4rg+O8k8TgD3LxcbKYerDGpaqtjabe0ydWuOpv4aVsaLmpal8TV6n2tn8oAB49L4Gic/c4yrf/9o/7OR67P0PtvO5AFTzJGrMxy/2M3olRnaTzQyN7tGLmNRXR+lujHK9mpp0ksuZ2jrb8B3PTqGmrl9pVgNmNosVjrVt1WzvlCqQqttruLOrQn6z7Yzen22woX43pVJzn1qkBvfH624L9sbGWzTYeBsB3MzlXbj2Z0Ck6OLPPuJfm5dHjvy3q4ubJFojdI11MTw1Uorhd5nm3lwc5qttTSKKtF+vI7lkRQEAm3Hanl4a6biO0FyhV949iZDXeW9/QYTeVbzMRpD5bYE95fitKkBTSTZRqbaOPpZr5J9RufqOFF/tBDdUAKGN6JsaFV0hyor/QDqQg43phoZqsugHZHaAxhP1hHHwqySCR+KUM1sRagWSmlB2w2Rs23Cqsuj5UpyBbCa0WlQAtaSUUL12/v6s3UrQa1S4GAP7yCA5UItvVVpsoUoJg61WpbR1Wq64+Vi+blkjLZoKSW4mdeJKj41tWkGg+9xb6OabbMGub6exXulwobG/nryeYfFR0XC3n+ug8Xbc+gxg0RvPYVklp3dysSec53srKaZvTFL99k2RGB9foXOZ5oRbRlpaZqo5uOaNsgihEK0/vxn6PnZl/b390GJYL1VyLJMdXU11dWlCLDjOGQymf2/5eVlTNPEMIyyysVoNFpBpHzfJwiCI1OEzc2Vqe+nKOGDaIfw4XmS3wccFcF6I5Hje6WzeiO8XylCx3EYGRnhypUrRKNRXnzxRVpbW8vO/diXPk3151/AEhVkQyVVUJFcE18Nk85LeEYUxTJRVI2tQlHMXEOK+Nxd2q1pVmc3Gb4yTfuFXozmBKmtPH0/NkCirwEHkYYTrViyzMpqjoeXZ0ilCozdmGN1aoPAC4jsVgDmUgUkWSQUL0YTPdcntZymurkUNZm8Nc+xS90IokDfhS7Sps2t742VVfv5ns/soxXaB0uO8ADDV6Y5/dkBJsaWyWWKKaXt9QyWaxNJlEcwF8bX6L/UycO75eRjeyNDwbKp261k1MMqvg47yRz3r03Sf7a9LB0JEK+J8ODeFB2nGspE53vIZUxs0aWp92jhuud6LK6u0/dcC4paGUXoPdXKnatj3Lo2Su/ZZsLx0rnEayNMjZYiVI7tMTW6SuNAFU291Yw9KLdlkEWfVwbW+KPPTTFUVU6uoGjYmc+XUqhZS+LebA0DIZ+QHGDIPnOblc2sAR4sx4m4Kob/eMH7Rk4lLoQwM48fAh9tVHM84rDhVPYOBLi/mKBbz1Gje8yul6dgpzaj1IgBhlIaL+KiyeJ6nEdLCfpileRqLasj+yK66NIatpleq8b1BFazETTb4vAtGduIUy8VCWhEdJBNkTvzdXTHy13eJzfjZeQq6xsooogqFi+OFwg0GCZfOTHLFztG6Y9u0tgeoemZNtSQuk+uVEMhNbdFy5l27ABkAZJzxZeS9uc7Wby3yObUBlpERVIklu7O0l4XEF2fIbH4gGgowC1YSLKIY0Ro++Jn6f/Sp8qO9YMcwXqrUBSFRCJBR0cHJ0+e5NKlS7z44ov09/cTiUTY2dlheHiYH/zgB1y9epVHjx6xsLBAKpXaTy8eFcF60n0If+3Xfo3Ozk4EQeDhw4f7n09MTHDp0iX6+/s5d+4cw8PDT3S/HyU8JVhvEXsP/FHk5b3WWb0R3usUYRAELC4u8sMf/pBsNsulS5cYHBxEUSoneIC2n7lA6NNnsNGQQzp5S8ayPGRJwnV8TDmM7NioisRavpg+q9ZtqvKrfKF3jTYjy/T16aLIdmyN4e9PIKkyy5MbTFyd2ddLubZLajVNza4jfHIpRU1jfF/zszGfpK49sd8ax8o5+K5HJFFK45g5i/6XerlzeZJc2sSxXNbnkjR1l8wPbdNhY3mH+t2UniAK9F/s5LXvPKT7VLnOJ7NZIBQPlVUmHr/UzWvfeUBLT/2+eecettczWJZDfXs1jf11LEyXqu8e3pim+5mW/fMRJZFYY4jkZpqRO7PUdcYrxO0nzndy58YYd66PcfJSF4d5//GLXUyNLnLn6jh1XVUkGkspCUWTSW6XUkMPbk0hhKDzeJFcNvUkyGcr7RdmxleJNOgcO9uOtHutn23I8O8+O8E/e2aNrczjfyNtepbh1SgTGxHSyQjH4uXalhPVJlNbBxpy+yJ3l2roC3nockBrxOXhSmWF7uRmGAoatZJJnRSQsSqP4fZCFT2ahSQISHmbgld6nv0AJlKNDFSVSFJPzGJ4rfhcLORqqJe9ihQfQL6gY+YMDpOrzbyBEshED0TK2iI2Y8lmVEFGl8qZ4nSmlq5Y+fVeTIVo01xG1xLYnrh7rnHaD5CrvCuTzwkYort/LiuZEHXGrvdVkOFMa56fjt/mJfca1YsPaI3kCckuPc+1odVGmbo5j+94bM9sEK6LUDvYDI5LkM/T1Chzsj1AH7vL83VJat0kanYLLxTDz5uIhkZeDNHzi5+l/xc/WXF9fN//UEWw3ioURaGmpobOzk6GhoZ44YUX+NjHPkZvby+hUIhkMsnDhw+5cuUKAKOjoywuLnLt2jWy2ey7osF65ZVXeO211+joKJc1/Oqv/iqvvvoq4+PjfPOb3+RXfuVXnuh+3w08NRr9ECIIgv03iiAI+Id/+Ac+/vGPYxjG/mfLy8uMj49jGAbHjh1735txZjIZrl27xqc//el3fV+pVIqRkREsy+LYsWM0NDS8abRuYWGB1dVVQsMpxv/87xF9F9nMYgUSVYqNHQhoIRndzZEVozgFk5qITSonkdCLk8BKTuNBvgk7XMXmwjZaWCNSF2VtphgJ6T7XxdjVYkSotj1BLpUnny5ORj1nO5i4Obcfiew/18nYtdn942s51oCkyWTzDrMjK4iSSM+pFiYOGIFW10dBENheK6WvEk0xNE1GjWuM3C2mz0RZpLEjzupUiZgAtA80sLW4Q/czrdx8vZSO6xtqZXFiDftQw+VnfqyP+ak1Vhcqq+r6n2lneXyDvjOt3Hh9pGxZc3stgS2wtbJDfUs16+kkhVxpUj7xbDeLwxuYBZv6tmpWNzewzJJWJF4doaWlnqkHSwy90M3NQ9sHkCSRi58Y4tr3H+G5leGizmNNTI7NEwQBp/tj/HLXIqdjB1OUAfMFkZ5EoeK7piswlq5lILRdEb3Zw0JWprMhQ9IKsZNUaQmVv1xYgYSrWFTrxUji3aUq+sNOmV5qbEflVGvxHjm+xOhylL5YuWZmMqtzojGJ4wmMrcbpi1cKmR0fZpwIPWoG+QiOMJGupVUqCtrnXZ1j1cXoz3pWBUcmrpVfv42cihhIpB2Ztuo0mlxcPpOro1kqT52uOVVEnfz+eWV8lSwSHXqKPTLn+CLrGWOfTAHMpsK0RkrC/flMmCaj+H8hULEsCO3udzkfRsXD9gX8eA2Ka2PnTERNI+xmcZQQqpvH9iQQJZBkfNvBN8KIVgFLjeJ4AgO/8hMMfPHjlRcIWF1dZWlpieeee+7I5f+YEQQBW1tbPHr0iLa2NtLpNK+88gqbm5v7RtRf/OIXOXv2LENDQ0+sbU5nZyd/93d/x8mTJ1lfX6e/v5/NzU1kWSYIApqamrh69SqdnZ1PZH9PEntGo//u2H+K8Q6MRguezddG/+qp0ej7gYNkQRCEMn3TYT+r8+fPv+/kCkoRrHeTN1uWxYMHD7hx48Z+KrSxsfEtpUIlScL3fU58+TP0/Gc/gS/r2EYMTRbYNIsVhjsZSBIj7GcQVINsXkGLaCStYhShKWwxFFrjhLxIdZWClbNwCzbR2mL13+ztOTp3o0ebhyJVUzfnykTtewJ2NaTQdKKOrOngCDA/WkyL+J7P/OgqbcdKPei21zNohkI4VkqRheMGakJnfrpEHnzXZ3MpS+eJcu3E/Ngax17o4sGd6bLPJx4s0trfiKKVIlknLnbz+vcfkM0XaOmubBsyfm+eYxc7ePSwUt+0PL+J5Vm09dejxKQycgXw6PY0Va1hEo0x1JhURq4AdrazjI3M8uwn+7l3c4KjEAQBU7ML1HfHae6qTD16gYsmerzSk+L3T94+RK4ABDjCl2ps02B9K0q/ZDK89XjBe1vE5bXJWqS8UkGuADTBY2FLw/UFxlNNDEbdCjH6QNxiZC1K2laYXaskVwC9EZM7S3Gm12NHkqviMUeI2yJZu1Laen81tk+uANrlAiPrUTZyjyFXeQU8iYjs02zYLCUj5GyJkfUYzVJ5kcGqGSVsF8rOq0CIuOMwulmF6Yr4gcDyTugQuYqUkau5nRK5sgOZfEHYJ1dbQhX1mkmV5iAoCrXmOjEnBX5AlZ/BlXUku4CHDLJCgIDvetiihuD77Dgatidx/J9//rHkCv5xpAjfKfbsKVRVpbu7m9OnTzM+Ps7Nmzepqamhrq6Ob3/723z2s58lGo3yzW9+84kfw8LCAs3NzfsZG0EQaG9vZ37+6M4LT/HGeEqw3gQHSYOiKORyufddZ/VGkCSJIAjeFYLl+z6zs7P88Ic/xHVdXnjhhbedChVFcT+FeeqXP033lz6FL6oUlDC6LrFl6eiKgGkKbFoRZD9PIMkIBQfRCGG6xUe2wSgQ9zP8eN0cp2qzZNd3iCfCKLqM7/pszW7SsGs8Ov9wmd5nS1YL41dn6H++Ey2k0v1sO5brUd1Xw8T9VZamNpi4Nc/xA07sVsEhtZah/oCz++rsFrWtVWghhcFLnUyMLTFyaxYjrqDopethmw6rc5u09jXsnr/AwIVOfvCdezT31lakBSfuL9B2rEiyBs91cuNKMWqU2sqQTKZp7y9vNtzSVcet6yPEakMk6iuJSHIjTazRQNKPfj7nJos6KY+j08q+77O0tkr7YD3xmkrN04nz3cxOLTM9scT88gpDl7r3bTKeOdfBCXOU/+0Ty7zSnakQ5e+hPepyf7W47awtcXelmnZFok4vfqFTd9nMV5KWvCNyZylOvyFi2o///dWpAVemEnSIlS7pRQj4tsJ2tpq28NHVXlsFGcnUMR4zYt5bi9IT9oiJLuvpEM6BxtLDWwn6oi7laUEBzZdY2ApXkKvNvELgyMQO2E80hlyGVxLUhISy7azmDSJ4ZXYOa3aEiJNDFgVaDZedbIjR7XrqD9g4bFBLa6QUNVz1qmkOF8mV4wvkCBHdFe2vu1HibvHapcQY1WLxe+sFjYTmUAgUsIttnxwUAsclECVMV8STNFJ5CTFkMPj1z9P70y8cfQF38WETuT9pHK4gFEWRnp4ekskk3/jGN/jOd77D1tYWo6OjfPWrX31XjuHwXPZhSHJ9UFOEH90n+W1iry/h/fv333ed1Rth78f5pCsJNzc3uXz5MgsLC5w+fZozZ84QCoXe/IuHcFgj9sxXPsvAV1/GQ8ZEQ9VVcp6KLEKAiGWrZHb1L6plsiMnSApVCCKoGoiBz6nqFP9Jxyrq8iztg00IAphZC992idYUj3Hi+izHX+yl41QLvRe6yBdsqrtreXB9lkdXZ5h/sEpDT4lADV+ZZuiFkoFnZjuP5/llHlmu49H9fBt3rk7g73pXbS5kaO9r3NdGAeSzFtsbaVr76uk83cLtq8VqwWLEqr4sYgUwcW+BoY/18OjhTFnj5kwqz+ryJt3HixGxaFWIjJUjnzNZmFnDk3yaOsujXMdOt3P1tQeMPJzm1MVKQ9KW7jpuXh9mYnKOU4fa+wAMXexhYmSB4fvTOFj0P1MiqomGGMMPSnYPju1y/cpDmvqq+NmzEr8e+wHfGNomofsktIDhzUpD0z00aB73VyMUcjEGQuVkxJBhPR8uW3/BjJLKxhiIehhiwELqaPuT0S0dt2DQpkpk7KOHu+l8jFpJIZ0/ehsLaQ2noNEe8cgXdGyvfFC+uxqlP+LtH3NryGNk10NrMtdAl16pTVvLqYiuTIsqMpMqXZetgoJ/RERrMhmmO+zgmzJrTlHsvGUbGIGAcoAcL2c1othlKcqMWE2jaLGRjbDi1bDmVVPlbO8f76oTpyYophz9ANJinLBXNLpdzukkhKJofjsIE3aL1hhrBY1a3cH0JHzXR5YE8p6K5NrYRpStjIgTKFiWjxwNM/i1z9P/hYtHXt+D8DzvAzemvpc4ymQUyn2wBEGgu7ubY8eOPfH9t7W1sbi4uD9/BEHAwsIC7e3tb/LN9xd+8M7/3k08JVhvgoN+Vr7v093d/Z74Wb1T7L39PSmhez6f586dO9y9e5e2tjZeeOEFamsrU1VvFXspwoM4+aVPcOrXvoCvKFi2j69oeLaHjYwggO45bPpR3EAgYmcomCKrmTCIEhu7rVPCisfzTRmeyd3nhefjtJ9uI1wfo763nkR3La4scvv7E3iyyL3XJpm8t8ja9Oa+N5Tn+OysZGnuKZ3bo9enGDzgqbW1vEOkOkR1Q4z+8x1MTSxz6/ujNPWUp4anHizRc7K1rMpPkkXkuMLGRrkea/z+Am3HGspIVv+ZNi7/8D5NPTXooXJdQT5rMT+zSv+ZdhKtUdZWSu1SNldTbKd26B5sAqCuqYrp2UUCAjzP59aVEYYudCPu1vqrmoyNhW05uI7HjavDDJ7r2K9AbGip5sHdUmpwO5nh4YMJhi52IysSda1x8mVpx4CzNRa/UXeXrzaO0aCXR4P6Ih6bhcrJYyUns5aLE1BDRDz6xaAnZDGW1HB9uLEcodryqZJK6w7EXEa3Sr9JP4BbKxHaVZGoAlUqTCcrXwhurYRp9F1UwadVKnBvo3yduUIVUSTiWnEkbjQ8FsxiJwHXh/urUQailb+17ojLD2bqaKEyarZhh5B8iZgaoIhQJYgsF6JsFRRcu5JcLbnVtIYcREFAE3zCls291SiBGaAfaLuzlleJqiALpVljOh0m4RePISL5ZJIebg6mUlFSpsJSRqeakp/YUi5M1M3ubk+jVrcBgaSlYHgmAgJJL0ytZuMiYXsCmhyQJYTpCKSVKjIpF1WR8CUFIlGOf/2tkSv4xytyf6s4ygPL932y2ewTryI8CvX19Zw5c4a/+qu/AuBv//Zv6ezs/EDqrz4M+Og+yW8Rt2/f3tdZVVVVoapvX0j3XuKwVuydwvM8JiYmuHz5MrIs8+KLL9LZ2fkjD34HU4QHMfgzlzj7m/8UXw/hWh62HkVyHPJSBE9S0RyTbT/GjqMQCkwUWcDNByghg4xdnLQNwSGTc+lKjvB8/h5MjjJ2ZZpQWMNzirq06TuLdO3qswoZEytrkWgsDlx23sXM2GWu55O35+nZXV/VFWJ1YeJtER7emtrvP7g0vs3JQ9GhsdtzHHuuEyiK2k3B4cHNKUzLpr61vOx//N487ccakFWJvtNtPBqewnFcJh4u0NCRqGhlYxZsRD1APiJfldnJMzOzwonnO1HjEumd8pL921dH6TreSDim0/dcK/Mzq2XL794Yo6o5TENrNUa1ilko1xsFQcDNq8OcvNRBMlkkiyIBLzVY/Mn5FP/mTIZAPlp8q0mw7ZaubcEVuLESwnA02hWXVnJsOI8T7grk8irja1FORDhkClpcntAULF8kaUpMb1cxGAk4GAnrj3qM7RQJVN4RuL8aYTBK2TrtKqzmihPcRKGGWs9CO8QJm8kwka9lLltD3xHkyvEFRjcjnAj7jB0idetOBNkKiByoMFQl8B2NLa+aqkPkanzbIOHmytI2KUsmLsgknTjZ3Wd/s6CgAZpQ+v6yX02rUbp/q3mVKi3AwKNe89nMGbhSmFWvhvW8xvSOQcNuMcCWqVCleYgI7Ngyuugji5CRosTI4yGRslVcNcSmmMAsBFjoOAUfSRTwNQ1b1XnmX/4Uff/kbMU1ehw+yhoseHybHOCJE6yvf/3rtLa2sri4yKc//Wl6e3sB+Na3vsW3vvUt+vv7+b3f+z3+9E//9Inu993AB7VVztMqwjfB5uYmoVAISZK4e/cusViM7u7KVMoHCd/73vc4c+bMOxLdB0HA2toao6OjaJrG4ODgExXvv1mV4+z3H/Haf//XiJZJIAhodo6MK1EVFREci8DzsVzQdJEoxckgL+nYBZOmXQ1J0lSo1ooT30ZB5lEqDP0DPLxWFGrqEY3qxhhLu02HGzprSG1lyaeL36/vSJBJ5cnt9mqL1UZoP9nE2P15tjeL0YCm3irWZnbwvdLP59SlHu6/XkqZAZx7+TiXv/cQ2ypFc2oa4qiyzNpSucHluU8NcvvGGLlMeUVde28jma086WRufz/XrzxEEASevXCMu1cqBehDF7uB4MhlAM9+rJ+lxQ2W5jaOXH72YwOYBftIc9BwzEDSPPKZLL/8fC0XvbkygXnOE5EVi6hy1NASMG8F5ByJGkGi+lCD48ksnKgt7+/mBgL31nX6DBjPCZype3z/tysbEicSImGONsDasSEvuAiOQsNjMpbzOYE8IsfCR0eBU5bIWkbF0Fzao+UvMgVXYDEbonVXP+UGAdsCdIQLzOd04ghoYvl1SToqrlUUlK+7Af1Vxajg+LZBm+GVkcltS8JxZGJqcRt5F7ZdgRrVI3pAszWZMmgPO+yRx42Cgi4G+2Rxx9dRAw95NwW9kNWo010KnoSrqvg+aKpIIVPA8SQ0Qy7qqrIOsiQhqAqKbZMVDHTfIuvJGLpUrBoMR3BFlQu/+dN0fnLo6Iv8GIyNjSFJ0v5k/1HD5OQknucxMDCw/9n8/DwnT57EcZyK6NZHHXtVhP9D35ffcRXhr0/8+dMqwvcLVVVV+28Ub8fN/f3EO/XCymQy3Lx5k+HhYXp7e7lw4cITr4x8XARrD50/doKXfu/LuJqBj0BeCmEokEm72JKBKWoYEnh2wA7FGTLkmQihKGt5gy1LQ9eE/dx6neHSGyvw/PYt/skZhZDsYWYtctt5anYbDq/NblHTFENSipPR+lyS2qY4zb119J3vIJXP8ej2DJJW+rmsTKb2I1R7uP/6FEOXihNDpMqg59lWvvf3dxh8tny9rbUdHM+lvqUUyTpxrosf/Mc7NHYkMA6lBecnVwnFNarrYpy61Mv1K0VTwCAIuHVlhNMX+8rWP32xj+tXH3L96iOGLvTs+0/tobYxzoOH42xsbXLyucqXhdauem7deMjtW48YOteFppcfz8ljNXxKT/KbfXle0aYrqvfCks9E6mgftHnLYHU7SrcqV5ArgN4IPNgqfXfFi7CSjTIYFpBFgb5wwEq+MsJheXBrTeeErrJVePwktJxTWU1GH0uuso5ArqAD4SOXrxRkcgWV9pCA4slsW6Vru2OLrKT1fXIFIAsCEVfgzoZBtVBJrrZ8A98WiKsBiijQpAjMOwkmUm9OrgB8USEk6my5UbK7WsXpHb2MXCVNGU1gn1ylfQ3RdffJ1WJWo8FwEQUBUZERCw4Rz8HLOuArxBQBzy9+HpYF0A0U22bbltF9i4wtoasipuVjqRFcWeelf/OLb5tcwdMI1lEpwnQ6TTQa/UinTj+seHrH3gbeacPn9xpv9zgPurBHIpEjXdifFN5KlWP7uT4++8ev4usGrhdg+TJSSMPN2ggBpGwJRQjA8UipCZxAJGxnEBUVBZG0qbDplybIppCD4wm0m0v8Ul+STzalUbIpZEncd3dfHt+gvjNOXXsV/Rc6yJoWQkji/o0p8lmLTCpPIWdRc8B8c/j6TEVq8MHrk5z9zCCu4nP/djGade/KRAUJ2lzdwfU86pqrGLrYzY0bj/A8j7GHc9S3V6YFl2Y36DzRwPzCModx68oIJ5/vRpJFBk61c/36g9KyayN0DDYS2TU3lWQRvVomvZMjlzW5c6tI0PYq/xRVxhdsrN2I263rj6hq0Gjvqac/6vKvLoj81+owX+nyORMXWDePfkYGIwFLudLwslSQubdukLAljocFpp3Hvy3WyiLblsCtNZ1o3qNGKD3LiiiQLpSTt7mMxFIqxLGwhCSIYAmYhzi8GwjcTep0qBIDEYGxbCWBWspJpHI6nSHoEGxGtsuJ5ZxpoDkyiV1iWKUKpO0wtgfrBYl0TqPpCGnmfE4h5mvsuOXHvZSTkaygLNInCgI72wHpvMrB1GXqCHKVdmXyeQEDjxoc7ILMvfUItWpJcJ+yJERE9N2UZMqSwPHZK3RdyqnUG8WigpwrYps+ugyOIOFKMoYcUJB0RMdGFAVMNYxq5kkHGjHFJ+PIhAyJrCvhqgYYBp/4t79M8/PvLAL1Ua8ifFyKMBqNfmAq1T+ICH6Ev3cTH90n+R1AluW33LTz/cRbjWC9XRf2J4G3KsJvPNnG5771NeTaBJYv4FoBXjhMYHuossCGKSMRkN/Ok3Z1UoGBKBZz8SHRR3Vd5swoO7aEJAQEu4OWSMBAlcmLjTk+qc/zQq/EiQvttJxqYm0lg6t73H59goXpdSbuLtDSm9if5nIpE1ESqa4r2SE8vDLF0KUiyaquj9J9tpXvf/cOzd11Zedz9wiStb2ZprmvhtnF5bJqwanRRarrI8SqS/qdk893c/mHd8gV8nT2N1Vcr3s3xhk638Py5jreoSKC0Yez6HGVprYajp/rYGK03NPmxpWHdB9vIl4d4cRzHcxOl0hcWIJjhVW+EZ/iD87keU5Noe6OGqoosHZENAlAEgV2TJn1glgkSo5GjyGxN/EnbJOMd/Tws5yXuL8SYTAsHqG1gs5wwEg2hBfArXWNqkCjQTvQAFkTGE6WyNGmJTGb0unXxP391wceW15pnWkzTMhXqNn/SKBBEvfPb2QnRI0XYMjlx1MvudxZD+PbKrVHyMcepVRaNYEqRaDusH0AACAASURBVMAzJdZ2Rf5zWZmoLGMccmhf8uM0yAEdhshUKozpS+TQcNHLyFXKFjFNkdgBDriaV2nWBTKmwbJfTcrTECRl38sqbUsQiBi7ZGvN1KnVi2TMCiQcTyQkB7iImIGC5rtkPRnBsVFEgZSroll58kqYMDbpQCPQDTKuTCDKSFUxXv6f/hkNx1srL8RbxEc9guW67pERrHg8/pRgvQHei2bPpmnyhS98gf7+fk6fPs3LL7/M7OwsAOvr67z88sv09fVx8uRJXnvtNeApwXpTHNWP8IOOt0KwUqkUV69eZXJykuPHj3P27FkikaN7uz3pY4O3VuVY09PIT/3p1zBa6img4Fg+eS2CKyjouspmQSVkiKRNkN2AVAY27OKMIwmgCuD5CotWBFUO2KJEWBoNG9t26UrPcmn7LgOb49S4OVZHk5w4XzIiXRzdonUgsf//xlIKxZCJVJW2NXprjudfPs5WPs29mxMEQcD965MMnS9Pv929MsEzl4okK1YdpnWwlss/uItlWbR21ZetOzu5ghHXSdRFOfl8N7dvD+MHAdvJDEtL6xx7pry9RaIuxuTMLIou0NCc4DCWFzaoaYuSK+SPvNYjD2doH6gltZNGFuBcNfxWP/zl8/DrvQLWYx77gYjAeLpyGEl6CllbZ3bLYCAkVxClsCwwuV3+vcWcyPCmTreqcTIiMV94/PAkWC6jmRjHQjKyWDlIHo8ITKYlHm3LSI5O86F0pC4JZAsKtge3NmSafA/9UG9HQxawXIM7Gzqdio90xAQ3npZpkxXmMpX6jwdJjW6jJMiPyICr8jCpUS0JZYJ0gDk3SsIp7K/fqAWsWHHmNiUiQunFLuPJWLZcRq4Wsgp1uo8oCOgySKbD+rbCYkphw9bIuSKOJxHejZalxAhx2UFAwBEkcpZAWA7wEMm6Crpvk3VEFElAEYpaxpjokFfCWAWHHTmG7UDg+fiIqPUJPv+//irVXeU+bW8XH/UI1lEpwkwmQzT6eLPdp3jv8OqrrzI2Nsbdu3f53Oc+x6uvvgrAb/3Wb3HhwgUmJib4sz/7M770pS/huu5TgvV28GEhWG90nAdd2Gtra9+WC/uTwN7gediq4XGINyV45S/+BeH2RmxRwfehIGg4ooIc1skVwAirZByRkAw6Hsu2gROIRASbtFg0YrRNEdsVSDl7DsUQ0QVcHyQC+qM2P9mS56u9WdrnRzl/PIy4G1VaGtvm+LnO/WNan99GDYnoEYWOoQaEqMD3//4O/UMlr5giyZri5LlyknXv9QnOfeo4QchlZNd9PbmRZmc7Q0dvedPopdl1Oo83sbS+WhaVKuQtRoZnGTpXTMOEIzpqTGJ1ZZP5mVXyZp6+421l2+rsa+LunWEe3p/guUuDFde5vj6GvDDJs5kZ/v0Fif92ED5Wy360qissk3GOCqgLGKLMntZ/IQe3NxSkgkyvJlFv6FiPudXHIyKTGYGMAzfXJaoCjc7dykhREPBskcPdd7wAbm2KVAUG+fTjA/yWJ7CS0mmUVTTh6PV0z+fyos7xsMLh3oAAWRfWMwIElb0DAeapokWV0CSB3pDIpFV8QfEDmChE6A1T8b2UYBCTDLJyeYryYUqh3rPK1t+yRQQzoEaRGUlp+AHkAoV8QSR+gFytOAZ1hr9PzAqBTM4SSegiDboAvsbiTpht12BLiLAZhNGsIpGzfYGMKRFVAtxAIC/qhEWHvCsiqzJy4LGal1HCOutemHzGxtPC2FkbSZFxZRWtvZEv/Pk/J1L3o1e5PY1gVaYId3Z23hOLhg8z3osUoa7r/ORP/uT+XHnhwgWmp4vdOP7mb/6Gr3/96wA8//zzNDQ08Nprrz0lWG8HH2aR+1Eu7H19fe/5YLbXDuLtiPCNqgi/8L9/g2hPE66k4nvguAKFbLFiCdMBVaXgCkiCiOL5pGyVdVcn7ufJCyqCIBDxXbKBwXxOZzUvExEdtimJZiJKQNoROFnl8FKwxq8dN/nxxgL9UYfZW7Oc2hWwR6tCNLTXUtebYGpyme3Nom/QvSuT9A6V0ndBEPDwZolkCYLA0MViqq+lozyFmE7l2Fzbpmew1CD69MU+fviDm2SzObr6y9vteK7HnRujPPvCAA2dVcxML+4vSyUzTE3Oc/pcMVpWXRNlO72Nadr4vs/11+9z/HQn9VU6L9bAb/QK/FFHlt9q8flsrYToVz7jhhAwnT2ahDeocHVd5N6GQjUh+kNqUQsFxASfaevo6h4vEFhOK6RzOsfDWkWUq1mXeHAgyjWXE1jIhTgW0lFFkZ6QzL3U4a3Cmq+xaYU4HlFZdo+Oyi7aCllT5VRUZyRduXypAMm8Spch0y7DnWTpd+IFMG6GqTWLvlD7xxs4DGcURlMKrWKllGBkRyThuoQJELI+U7uNrh9uK/QYpfQlwLopIosqEakYOWvTRcZSBus5rYxcbUlRqgUbkRK5ypoCsd0svxlI5B2RhA5x0SdnKdjZgI2CznRaZ0uqpiAazGcVVr0I22mfDSFKihCpgsxsRkcVJdLZAMV1IRLFy1vIuowla0T6W3nlL76GHn28iezbwUc9gvW4FOHTCNYb40dNEabT6bI/y3p8pfIe/viP/5jPf/7zbG1t4fs+dXWlMb2zs5P5+fmnBOvN8I8hRbi1tcXrr7/+I7uwP8nje6sRrD3IqsIv/vtvUP9sD64k43o+kqpg7+QxZR3FdXC0EDuCgSFDwQHND9h2dHZyHv7uBBTHBtVAF2UWszqe57HjlQa01pDH1m5lmBJ4nKr2OFPt8C/6cpxPjfFPz8eIBDvcvjrC6N15Wrsa0I0DWp4Haww8U9Kg+H7Ag5tTHDvbRstggmtXH+A4LrevjHH6fP++uBwgmymwNLfOwFAHpy/2cvXqXQICtpNplpfWGDxVnhZUVJl0fgc1IiHJ5UTZsV1uXR/muRcGiNfpbKwl0UQ4FRX5YpPCz+Tm+O1um/+yR+CFRJFAAVQrEmOZo9/rBiMiC/nSMtMLmHRDzBcidMgREvLRkaAO0WOpULrffgAzbojFtMrJUIjZxxA3gP6wwkJe5NamTAKdukMjVrsms+3tpp2DgFtbYJhQtXs+zYHDjFc++U+5EeKeQJVSJDUNksrqAb/UkTTovkqtWtrZQEhmeEek4MFYSqb1iNZCeWTsglpsdnwIj1ISXYa0TyJVUaBGVLiyptETKj+plYKIKkjoB/aRtEWiqkEoEJm1I5geLFoqYSu/v82sI1BwpBK5QsJEISQWt7NpSyi2jSyKyKKIZoSQcxaS7eL4CrrroqgKdsZBd11sQSGmgCnrhEQPWzcITBtX18n4Kk0XB3jlf/nPkdUnp9n8qEewHpcifBrBenfR1tZGPB7f//vd3/3dN1z/d37nd5iYmOC3f/u3gce3F3pqqvE28GEhWHti/Hw+z9jYGFtbW/T29tLe3v6BeDt8uxGsPQiCwM/+j1/h//3v/paJ/+cugWMjRyLY2Ry2ESZk5SjIBtu2TDiqYAag2wVURWQhI5KIy0T9AhEvjyUoRGQXAoEdS2RHlImJNlWqTygk47s2e9ynJRyQdQUSgkkivUJXM0zFBGTRY3Fzgc7OGh4u+qxliqXxE/eWOX2xn7tXxhFFgb5nWhgZnaGpvdxg9O61cU6c6WL0wRzebi7M9wOUsEDeKTcIzedMRkdmeOZcP/euTyIrEj0nmrh7p9ircPBkNysLW2R2ihorAWjQRFry6xzXbL4yGKJTD5APDASTeZeaI4r5+kMyq6ZH46H+haIgYroBKwWf5bxEu6rRKAH4IInMeSrVVEZuZFEka4pgwEg6IKpFqPf9osMm0GsoLBVsWo4wTh1N+9i+zlDsKOoGIUlkyRYwcdkxFY6FKif7uOWyKgaEFZEtL0yT74JQ2pcuieQDg4JXYGxHpD90FFEUMAKZh8mAE9FKArDhiDiORKsu4AUiYxmHgWiAH8DojlxBolwfprMyvYbIpCnSpRWQBFjMi0QlkQPtLEn6MkEgovlFQXpN4DGaMojHNbwgiyhAxhHwRJ1wUByf8r6ILcgYfvF+rBeKgngRAReRHUcgFlh4PqQckbgaYPoCnu0VX1C0EIZpYushVDNPDgUlENhxJERB5NTPX+DFf/nyEXfkR8PTCNbRVYTvhkfTPya807Y3e99ZWFgou8aa9jjDY/iDP/gDvv3tb/Pd736XUCi0H6zY2NjYj2LNzc3R3t7+lGC9GY6KYAVB8IGu6BAEgVQqxeXLl2lsbOTFF198wwfmvcY7iWAdxE/8q58lXB/j1l+8huc4iEaYwLTIShqiZeGrKk7OwtU0PEcgrAQkNMi5Mo4YQZE9At9jt/sJcTlgRw2DFbDqKeD75NUwNbskRyLAUTXwS2HjrnDAli1wMRFAsMmLLbBmg+kGbNoCm6PjfP6FdsY2drh/d4IAmBld4/T5fu5eG9/fzqM7M7T21LI6nyQSC6HFJa5fe4AoCjx34Ti3ro7sr+s6xbTg8y+coFAocPv2MIoANYqIMjvPpxpi1DXEaPRN2nUBQxLAT5PzPCSNMnIF0BuSmMo7FZO/IoqkTJ/GA5YDeQ+WfR3LckgWfE5EK4lMhxSwFKi0CHbFMtsT+Y8rcLZKg0P3XhFF8gUZX/f3Se1iwSdVkOnQi4PXlCfQK1X29PMD2Mj4OJ7KmaqjhzNDEhnbkWjWJerVo1+QDEHgXjrCqdDRy6dyEEWnXoIN16VO9suW1SgK4d3dS4JIk6KwECjk0xbdh66v6RVtK9p2CWWjELBihxA0gWrVLhuUV0wBDYHQgTl3JifQrIkIlkfS00l5HlUhhaqgSKZyLhR8kehuK6F1s9guSARsH9K2QFwFz4ecpBEXbAqegO+BLkNW1DFMk7ykoZl5ko6MoKlYpo9kaFz4xo/z7M+fP/I6/aj4KEewfN8nCIKKCFY2m6WpqbJy+CkO4p26she/E4vF3hKJ/cM//EP++q//mu9+97tlHpE/93M/x5/8yZ/wr//1v+bGjRusrq7ysY997CnBejuQZZkgCI4M434QsOfCPjc3BxTFdk/aKPRJ4J1GsA7ipa99hurWWv6/3/m/EF2XQJBQNJUg52EWPCRVRrZsbEVjNe9QH/JRHAvHA0mCjBuQ9ETaIsWJMmJlyQYKkd0IpW25LBoxglyWRt0ngcWmqFPrFyd5UQDVUAhchz3e0qDCvC/wfPWufDI5y3kJ5joUqmSBtBuQXpzm/DO1jMwnkQRwArA2kzz3TANzKxtkN3KcjsrF3P3wOD9zqomVuQ3iikBEgpgmU7ezSCAKfPlYjIRycPL2mTI9BsLlE3pYkhjNWpyMHX5mBbRAxPGLJpcH0ROSGSt4eI6H7Uq0qRr1ogiaRtbzyQc+oYrxTCDIOThhUATwg4CRtI/iazRrIao0j2zgEzlCdN5myEz7Io1BgdEdgV49RFwvnUe97bGIR6tRmnw3A4W8rdCrBbiBz3zeoj1UPjnbfsBwOqDPiDDretSplc/daqDg5wN6ZJl7OzbPxMuv37RvUC+VRORpS2bLt6lR4VEaOjS1QmtR8CUy2xT78R1I9eWRyKDSrJUfRzLnETUl5oCeXf37YkEgIshoB6obp7MizbrA3sTgSRKKJxFYMG0riKKHJggkdt8etgOVqOIhAbYHaUcqkisEcpJCyLexkAiCov9VTjbQbYu8EaaQtclKIcTizUSKR/jkf/NTDHyyskjiSeGj3ItwLzvyVIP1wcTi4iK/8Ru/QXd3N5/4xCeAYqTr2rVr/P7v/z6/9Eu/RF9fH6qq8pd/+ZfIsvyUYL0d7D34RwkR329ks1lGRkbIZDI0NDRQKBQ+kOQK3rnT/GEMff4M8bYE/+d/9R/wggA7U8AOJKKST8EXkGSNkGvhhQ2SBRNJFQkCBx2IygKeJDGTkaiqUoi5eXzXxZeFInkSRTJpiypVJWUFpF0fUXSIhkW03TYscd9mXQ5R65Va2zQbkHbhIJepDSkonkt8jwxZGdoaNUTPLVkD5LYgJrARDtGoHGAubpbl5hBt4oHrFTjgwYqskDikBerSBJKCSCIo//xYWGU279B5iIDUazKPMian48UDzroBm5JRLMHPO9RrIvqhVGFEElnwRHrkymhPvVYkZq5tk5DDtCul/YUkidm8z7EjTNLdAAqOzLITYsCofBNVRBHLknE0Hx94tOPTq+vou3VAsiCiSQYFzypG7oCFgo/jKvTtNq/ulCUepktE0w8CHmahSxEQdzVsvbrBo0yeE1EJ0wuYyAh0GwEciP7FZJENW2LB9OjXyw1BAdadAEnQqFcDQORB2mMoBjvI5PIB1Ur5vRnPQpteTEtGEBlNeyiiR50ilxHf6Vw5uUraQBAQ2XXq10QB25MRZVh1RCxBANNGDMmIrktml1z5gsC2KVClOtiijOuL2IiYqo6dd0lLIeS0ha/pSIKA57rItdX89B/9Io2D714kZe/l9aNMsPaKgA5izwfrKR4Pn3eYInwb67a2tj7WILuhoYHvfOc7FZ9/NJ/kt4GDqUBRFJ9II+UniT0X9tdff33fhb22tvZHSsG92xBF8YkdX/vpDr78H/4L9MYaXCOELIlsuxKCIGF5ImnJQLQsXEVBcgMQVdZ3G+RKAmgiBHmPHU8n44gsH2gDWKPBSqHoHl6jSlTLCtM7CstemKmsyKYlEHfzWGKJTckBFKRy8h0OPLaVcqG1Hvik9cOFBgIiYsVA0Sz4rIuVKTnDdrEO/eBFQWQnV5mi29u2d8QAYQgyN5IewykRxzZImCKNnkiTpjGRO/pZbyNg2S8fPrZsnwlPQzc1DN+gWqxM9XQqCo/SJZ2WFwQ8ynqsFVSabIlcwX/sQNmsqVzb8ljJKvTrkf3KuT3EBVhwFfwAJn2NuKDTUCbAFmhVDRYKHjuOz2haoEc1EAWxbJ0WxWA0D8s5iW6j0po96/okTRnVNcgfGkKn8h5aoBLav84CXbrOsGtg5otFBAcxmoU2XaZE0gQcT0bwdBYKpfNbFgyaDxilblggIRDeJVc7DviBSFQRkASBbCHAcAIiskrOFFm1VDxRYdPXmMuI2J7EmqOzY4pYJuQCFT9rk7dBdlyc3efNdAOkxhp+4c++Ql1//bs6ruxNXh/VFOHjMiNPCdab44Pa7PkpwXoLOKzD+iC4uR90Yc9kMly8eHHfhf2DRgIP40lFsPZa7kRqo3z1//gaNSfasVUdLayxbQYEokA261DwRBBEXFVF9n0MARZNhZQtEFMhaYHkB8QVmYgkMZWR2AmKA12TEbBz4HY36QKWK1CjqMhoJE2ViW2XVVFnzfLxgoA6PFb98kmi1i2QFssHz4RVICmUr1cjCczYhxmGgGg5uIc+rlIkJo8gQG26ynC2kmQ1azILgsp8weXujsOjNGyYxv/P3pvHWJae532/bznr3Wpfeu+efbiIpEhRMxRky7IQWonhRBYk2pJlSYw2hqZtyQ4QSoEhyDIQO0AIBpYtQ5BsJ5KiQFts0U5iGIISwYpFS6bFmZ6ent7Xqq7t7mf7lvxxq27dW1UznKV7pofsh2gMWFX33HPPuec7z3ne531e5mUTbMyJKB7HK+zhyVrM7fyo75LAZIbKeW77gC93QLuUlUoyGwQUVhxJ5gAWVUS3cpzvVVzvKU7rOq1dMnYyjvly73CL9EZp+XLH8kQ4M3U+DqKG4vc3DKuVOPRZYKRMrg0VG5nmdHzEXBtgQ0b4LAYO3+jv5JZOqTkRxSwEIdu5plONSMeLPcuKjggPeN0uDy2tXLFRBnR2s8Ssh8uZ4nQ8bai/WWmWQ0VdKxaDkFtFyJc7MDex5qznI7UqVqPP10OjtR4rd3czaO0SrUoqjApoKAlekGWeVqAg1EhrkQ76XhJZQ6cUpMHumKEoZGgFix84ww/+2o9SX2hgrcUYQ1mWVFWFMQZr7X0jXXtrwteygnWQXHrv6ff7j0zu71I8XHWudwEehk7CdrvNSy+9RFEUPPvssywvLx8igfeDwDwovFWTO+yXE/ZIVhAEfP8vfZLf+qnf4KV//WWEkmSZJYg0g8LSwNIzjqQeEVcFjVDgfMCO1Mw0Lb3K0/AGLSWNEFwF20GMlRAmHm/K8W0wNBW5hFgKEiU5lUTcbFeciBPahaNjLbmzlDVN7C1N4YiVYJCVNCcGRkshKLICF+upJ50VJegYR2tiSPOslrw8yHi2Pt2s8EQSsFYYVqLpS3k1DNmuLD3j6TuBDmNiFLJvQaacO/D3Z5OE69Zw+gCnkAhQIc5PDx7eKA1rOVztez7U0jQPbO94HPNif8D7G9P767ynrUPaQ82z0dFKxeNJys0s52QSkFvHhYHlTFTnbLw3A7BG12Q0J6IpKue5QcB8KXk8bnEzyziZTOdvFc5xuYDTYZMdBYZpQ3nlPFdKyQkpIIzomIrtqmJuV3W6MDAsq4Rw4rzMCMVGEXBlUPJ07XAW1Et9y6koBgSLgWRQSbaqgiRNOXagVHjdKJYFjP1VQDuD1SjlxtAQxxJTGppKEOySkA4aZSzh7v+/Wwjmo9E2Sq3JM0uiPLkFKyU17ei7UZnbIyjCkKSsGDhBEo26Cwk1vrSc+ZYn+faf+s+Jkmg8Q3TPiD353z0IIaZKXG+UKO1t62tVwXo168kjBesr4612ET4oPCJYbxDvJMEqioKLFy+ytrbGmTNnOHfu3JGL0f1SiB4U3orJfY9QOedwzo0XdCEEzjk+8MkPsUOX2//nNchKtNQoadkpBTOhpNszlPUEmWcQaOK8ohQeEwZsFRXzoSCVsFY4lgUEjEjBxcyTBp7VVFHTcCu3nJjopZ8PFEPrSJVkXkog4EbfcDqOyPF0jKBUjj9qD1iYSanyAu0dsZRc6Jc8VQvZs2PFUnK9sLQOXJ3nkoiN0rAYakqgX1ky6ynTlPO9PpWHer2OGVYkIuJeWfJMLWFGse+z1pIr+ZCZ4PCl3xSKzFYkavrGuCQlV53nuIKLvYLAhxwPG5yLBCZ03CkyjkWHw0TPxTFrRcVKpDHe81KvoCZjFoOIWQk3MJw6wgWhhSQIEr7c7TOrUh6PpkupqYe7PqC5+9qrwwrpI5YDPdbklQ3pGUtjl4TdyEqcDTkVjFSrWQsXBiXv3Z03s+08uQs5MUEKWjqgbSWDwHKlW3EuTjnot+obR69SNFWNjapicZeMGe+5WkhORdOkSwQa7yPu9TLqsUALgfGeTRmzPOGnKzxslYKVXRI6F2i2CZAqYFNBvSpwYURQVmOytS0j5oMSEPSdgNySKMHAeFQYEhrDTgn1wOGR5EISVYY8SjClp7IOrxUqCvm67/kQJ//0Sc6fP0+e56RpSqvVGndb7Q0fniRbk9fl+PNOXJ9fiXDt+a8e5g7tB4lXKxE+ysH6ynCIcdbhG33dg8QjgvU6sLeQwDtDsJxz3Lhxg0uXLjE/P8/HPvax1wwKfTeUCN+MgjWpWgFTi/H29jYXLlxACMF3/K3/insf3+S3fuo3GW52ECoiloae0iSBpd8rqQeKLLNUsabpDWFpyMKYO3mFxLEcS9YLx3I0Gjh8LAnYLj39Aqo4wPsht3PL8V2SlSrB7dySTpCTU7FmRypmnSUCIiuJoxrFwLGg0/G9ek46bg0tDSUxgBUg0fz7nSGLQUAShlRlhRCKnRJIIgIpkUBNQC2Dy1XAk2kKJbBLKpqJ5nqeczqeVpHOxSmvDAc8kU6XyGpecAPJ4xM/264M60bgnOQWcCacbpzQQiKDFOurQ7P6QqkoleJLnT7zOuVMNJ0D1qoU2xTMHRgufrUwOKvplxFnG0enwK8KzQtZRhLHLOuIg8RnNgi5kQ15rAEvdgvOhg1kMH2DPxs3+E/dDqGEJV2ndQQBEM7zcl9yIogPvcc955Fes7qb51WhuVlmzCrBWg7HDgRwrhUV2gc0NDRUwu2sRMkKEYTMTzxw9IyjUhHzev/xeieOSQcj8oSFtkqpuhUWSaI8QT2hXox+v116kkChpScTCqlBGcN2AY0AnNRsDixRPSA3nqJTEYQKKxTRXI2/+Pe/i8cnRjyVZUmn06Hb7bK5ucmVK1cwxlCv18ekq9VqUavVxkRrUl0++DC1d90eJF1fyx2EcLSCVZYleZ4/IljvUjwiWG8Qb/e4nK2tLV566SW893zgAx9gYWHhK75Gaz1+qnwYnwbfqIJ1cMGeJFZ7qt7GxgaPPfYYJ0+eRErJzDfN8EO//EP80g//c/p32wwLiJRgkDmiRkpWlqTaYivDltS0pCExBpvEJGXJRu4IahH9MqeuRp2FaShxzhMXllhHZNZwaeBRwrHQCDkew83ccCLev6xkWVBISST3Or0km5WZ6jIMpWSzqGhpzT6dkHidEktInCDRo980koAr+ZAn0mll5FiY0DGG1tQCLWhEMZWzY5VjD4txytCaKUIIcMxLLuQFDoWuJEtBnVUhQMGNfMDSEXxn1gnODzPe19wn/Xfykp4MmfcRpTfM6MM5bCGCG7lnbpeH3DIWS8I8MShYTCJeHvR46kDpzXnP+X7GjKwxLHNIjh7TkkYJf7Ax5IPNo29OmbUUVUQlHXF4WAm+nOXMBnVOCMFGkePCfUXs5UHOapgSTHjoAi/IC8V5a3hPbfoB6GpWsqAiggnFWaHolwqt9a5yKNgyjkBH1Ow+ubppPIuDUYgtwJ3KseAEBBoPtJVG9S33rKJTWRqNlMKNPIhZVhFIRV560iRkx0I1sOgwohha0BodgI9DGquz/OAvfD+t5Wm/TxiGLC4ujkMUvffkeT4mXXfu3Bk/3OwpXHvEKwxHY6omr99XKy1WVfU1T7COChkFHhGsrwDvR//ezOseJB4RrNeBd2JcTpZlXLhw4U2lsO9dpA9rXtfrLWFOLsYHVSvnHLdu3eLy5cvMz8/z/PPPEx8wLc8dn+Vv/su/xj/99C9z/f+7Qp6XSB1Q9gqkhr5U1IDQQ9sGSOlpFDlZEJJgILcMVcROXpEIx0IEm0oyNp6kawAAIABJREFUt7svidL0rGU+CPA57KgQH0ouD3OaWjIfappacy0vODuhIh2PQq4e+NmxKOKWN5yYuGE3teZqNuTxA0rTsShh4B21CRN3ohTX8uIAwYKGF7ySZTxbm85GqHnBXa057h03s5xO5VBoFnWKtYKlUBMcUHxOxTXO97s8Wz+cs3AurnMrz+hWDuEDjoVNam503ZzSNbaEY/6IxexUXOff72xTkxGn4jrTKpFgUadsliULu2rQtSynsiGnojkAlBF0nJtSnwrnuG49Kz7h6TTiisk5d+C4XM1yYhFxJm7gvOOu8qza0U3feM+Ffs7ZuAG7s8oWg5itssB4w47UnIoO7uuIkM2phNOh5MJgwBO1CAVcHJS7pcL9v18rK0IC5gMFFWQiZM1bZrwg2iVXxntu5ZaVcP97ciMzrEQjY3zlPVul281CE/SMZzYMRgGkpaOmJXWhyIOQmi0xXuFMhYoDfGVRySj0NRMhT37sKf7K5777dT2QCSFIkoQkSVhZGQ0od84xGAzodrt0Oh2uXr1Kv98nCIJDpCsIgkM+LuccGxsbKKUoy/It+7nejThqve52u6MGhld5iHiEER55sL5K8KC7CK21XL16latXr77pFPY9gvUw5nXBaLEsy6OiBPZx0M+xt+DCaLr8Sy+9hLWW97///czPz7/me/3gz/0V/u0//j1+75/8PzhncRqwhtB67lUw09CIskR4yVAEoBQG0MaQWIdLU3ResmFARoKuhGY5+g4shYo71rCqNMp6ZlCsExCLkHZhKbTAS83FYc5coJnVCiUEq2Ew5RECmHOCrjc0J87Z2SThZpFzcuI7EAvB9bzg3IFF90yccjkb8NiBnz8W17hnLS0huFdW9IzFeEkzSTlfWk4GM8xMKFOLUnNx2OE99cODko+FtV3j9375644pGQhNPgw5m8ToA917SkiGg4JGrMZmbICrWUZmBCfDBdo246hhOInStJWkKyzXOgVn4hZMBG/WdMhaNiRJRkrg5WFG6GOOTcRiLPuIa8WAM1GMAW4LwZLeJ0hSSGqZ44rNmdGKnVJwNj7ctSWR3JMJtbIYJanuwuG5OCg4GdXG2zwR1rk+yBl6y+MH4jg2A0nDRqiJz3snK1jQCZmS3M2GLAaSjmFMrhzQDgJWdqMxMuvoW8bnoasDZtxI5doo3GjOohAMpCbKK6oohKKisBBjyaVGCIlVmj/76W/hT//gNx36vG8EUkoajQaNRoPjx0cDy6219Hq9sdJ19+5dsiwjSZIx4Wq1Wmitx007zzzzzNhC8Fp+rr33/GrCa43J+Wr7rF8rePjuvg85tNYMh8P7vl3vPffu3ePChQuEYfiWUtillPclLf1B4bUUrElidbAcWJYlly5d4u7du5w9e5YzZ8687oXnW3/0T3HqQ6f43/7bXyfbGaKUYFA5ktjTHxp0GGCsoQmIgWHbWGSsqHtLmhe0paTpPGSeylvuRBqTZSwGimWl6TpHc3dfloOQ21XJ8SAkcFAXMUMd4hz0Kug7S1CLKYRlvT9AM2q7b8URW8NiimCBoCYDSuemyMnpaI9M7d+8c2dppTU2hWO7P6RyHo9EoUAKVBDTECnjKTcWdpyjcJboQGbV40mDG/mAUwfIQaIUN/IcGWiudwe0ZMps0KAGEME1M+Tx4PADwWKY8PKgzfsadV7JBsRhgwXVGichSAJyPPEBkjWwhh0kV7YL3tc4ukyyEqa82NtBS8nZqMVBoiaFpCUSbggHA8tCcFgNUEJi4zodDyvhYaJ3vSppETNXKjIXcrcqWA1CBs6y4xUno2kymkmQYcKChWsm58xuifeVYTZFxLz3XM1LjoUjA71yEIuItdyhIkUv1ESlYbMwLOySq65xWCdoaYUHthE0SwMI7hWOuVDipKRXeGrKkocBKq/oGYjrMdu9kjANSFs1Pvk//yVOvff4kcf1rUIpxczMzNQ6VpYl3W6XbrfL9vY2ly9fxlpLEAQsLi6SZRlhGFLbVVwPrgev18/1boQx5tDD9KMU99eHRyb3dzEedIlwMoX9ySef5Pjx42/ZO/UwG92PMrm/Vneg9547d+7wyiuv0Gq1eO65517T5P9qeOIbzvI3f/vH+Pn/+n9l7cU7CD8KUozrKbafoYVgR0LNeWpasT20qEDSVSCLimGgSYFAKIZDQ10lZMZxr6xQsSLwnmT3vK0EIR1nx/lOqZBsSseClzSVhNyTILlpFcvh6LPYAuZUky/3+iwEEcY7HI4widgSBjcoGOV4j/4XJg1eGRTUhCaWGiVCZAXrsuCYnj30+S8NOzyVTiszs0HM5azN07XpRVwgCdBj8uW8505VYOOEKGzx8k6Hp9PDyuEJEbMuKpb99NKSW4vUMV/sDHg6meVAAD1zOuZav8PTu+XH3FleGQxZDWdYsJqFJObCYIena9P7b73nwqDPcjDLetWH6PB1kzvL9aqiVSUocThja2ANN/OSU1GL0lluMOBUOCJhlXNcyjJOTxC3RGoqJ/iTfodjaYtZP31j31YgMk9jV41YJOW6LRnkBefifSJWOsfdwuySqxG6ChSaOSHAQb9nWascXgh0GpD3M+pBQCwFFtgoLPO7XqyeVMyFgsJ7jBl5DodxRNYvIQzBW/q7HsTFJ1f41D/7q4Tx0U0EDwphGLKwsECj0aDT6aCU4umnn0YpRbfbZW1tjYsXL+K9P1RaTJLkEOF6NT/Xu5F0vVqJsNlsPpRe2ocJjzxYXyW4nyb3qqq4fPkyN27c4OTJk3zgAx8gCA4ndr8ZPMxZWAfVtb0n04PECkYtypOZX4uLi29psanP1PmJX/9RfvW//z/4ky/8CUU/xw9KLJDGEXFe0lUKn1fM1wK2hyWzoQYR0MkNw0AwpyQtrVkrK5aCgJaKoIK7GGpSMqyKkTk90lj8uBS04CVb2jNv9vd/NUzoOkNzHEIqWI3qI2O42n2araBOyHYsmbcTl6yBe8pRE9PfmWUXcsMMORVOk9AzcZNtYZg7QH4eS1pcy3uciae9VVoovtTtUlMhi7pOS7Ug39vWDOvlkOXwQAyBkJB5BoGhpjSbrmJtWLAaNFmWCUNVsVMVzB6hcp2JW1woupjKsiAbnIkmGzoEx4MWt/I+J3b389KwR0jE6V0/1ulohnVtWZ64PC9nfRKRclyNiFnHWNqiZGZXUbpeZiQu5lQ0UsdCqZilzpWsS0NrMiM5HR1Wkq8VQ1bDOW72+zyepOOMsDvSMVso5ESpJ1NQDASzqsEr2ZBTUYQRo3mYk8fvdlUwZ6NxN+ZmVRGgmNs9Vn0j0MQMS08v1nS7OUIKNgKJCDRZt2Dbe2pJjHeefuWIqwofBAgnsEh0PeKD3/EhvvOz337oM71dWF9f56WXXmJubo7nn39+vOYtLy8Do/Vg0s91/fp1er0eWuspwtVqtcavfT0m+oeddL1aifCRwf3di0cE63XgfitY3ntu377NxYsXqdfrPPfcc/ddBn6Ys7D2FKyDRtdJYmWM4fLly9y6dYtTp069aubXm8Vf+pm/wFMfO8dv/MwXyHcyAqXp9AqCRBNUBtVKGQwKas0a7f6QGa1o6ICdwtDWApEqEmO5V1Ys7Rqw59FsGcO8Gt00XeW5GVhC4XB5wZwOqDtBHiji3VOjEVRi5OPZG/0SIMhDjTceMSFhB6Wj1J7Q7/9siYh1VbJsp8uKsyKkZysaap98KSEoi4pKywNdhYKaiNj2hq0ipzSOVlCnJWs8Hte4W3ZJ1bTSoZCoIMJ4jz5AeGOleaG/w5xOWQ0bnIn2iVuqAu6WOQ3tprxamTVczgbMqAZhBDUOP2gEUhG6mLuupJcbjgVzB/5CEGeCOwxpBRHbQrKsZ5gsGbZ0zHY1xPqCQRiyKBujyd0HPlu3kvQqxxPpdOlvYA1rZcmJ3biKE2GL6/mAlhZ0nOWYrk9VKO9hCDLNrB41KqzoBtuhICsrFnbf1+O5WRSsBPtG+HvOUBfBPtnyjmY+0i9zLagGllYQUSqwVqBKi0WSakWVWwrrSeKAvLAEkaSoHOFMjU/8vb/A+7/12UPH9u1AVVW8/PLLbGxs8Mwzz4wN8gchhKBer1Ov1zl27BgwIlD9fn/s51pbW2M4HBLH8VQ+155f6UGHoj4IHKVg9Xq9RyXC1wHHG5srOPm6B4lHBOsN4q2a3DudDufPn3/VFPb7hYe5RLinYB2lWnnvWV9f5+LFi6Rpykc/+lHqR5it7wc+9PH38djXn+Hnfuh/YfPqBiqJyLISLwVlO6NejxD9kYqwKQQNCbOhZhhrkswCAWEkaAdQs47AeppC0nMVDRkgvWC21NwzOUu6QWU9bVfRzYbMzqRUg4yaVMyogJtVxulgX3FqVIJrVZ+z4f5nb6iQG1mf0/H08WiUirYvpqIQUhVwo+jRSKaJykKQ8spwhxkd0rNmFEApQhJi1oYDzoRzhybEtIIaQ29JD4z1afmAS/k2T6ctHJ6rWY/SSpaCJo9Fx7lebLF6hJ9pNWxwcbDFs/UWQ+G43OuyEsxyOhrFAPSLgm5Q0Twwf7FtCtbKktTHLKijx9wIBLeHFT0lOB4dfWNySUTHS5qlmxriDND3lvWs4Hg4B3heHrZ5Kh1t53YxJCDiWDi9XYliPXe0WnWYWBruBVDPwikCt6EtaU/RECE9Z2mTEYchKxPnvpNoWn1ACIx3DAJNsxwRgB1nSNHEUtI2FQkB2nuKOKA2rBhUjkBJojQgLwyqGZOXjmPvPc6P/OPvobX4ztyst7e3efHFF6nVajz33HOHOn6/EpRSY1P8HqqqGvu52u02N27coCgKarXalMq1t37cz1DUB4GjmpIeKVivD94LvH/j99E385o3gkcE6w3izSpYe3lNewbt+63IHMTDWiLcM673ej3+6I/+iFarxczMDK1Wi6qquHDhAv1+nyeffJKVlZUH7j1oLTb47377U/zvf+9f8e9+5YujzJ5YE+aCrF8RNkPUoCSqBH0cbWtohZItUzKvQ4IKhoWhg4AQLBasJRFqrNC0ZDBWk2oypCZDbu30ORE2wEHbOuIg5SqGWGv6vR5SjNSt63mfhVoNVxoCITkR1XbLefs3ykgqNgsz8gYJT4lnUJZYL7hQDoiUoswrmrUGZI5FtcBG1eNENA+e0T/guG5xOdvmsWS6JJYKzU5QkR742lfOIr3mFWloDTVLemFqRTkezrAtKub8YTVqvtbiFWmZz0POREtTv6vriG2XE2MJpaJnSm6bnGO6xclwpIbdyHc4lzSmxvdcy7toH3EmWqJncrarnLlg/0beMyV3ypwT4Swg2DFDKm1o7RLTzdCjMz0RiyA4Ec5yS+RIJZm1NcSB8a13RElDJNQCCUPPK1WXhVCzU1lWzP45qrxjzRQs2tpY4cq8JQ0bhCVsBA4ZgpCSWt8CgqEz2DAk2W247ceS2lAjnGCjKmntljk73lEfGnKl0MLj4oCy8litsVbwzT/wPN/xt/+zQ+fg7YC1lkuXLnH79m2eeOIJTpw4cd+u6SAImJ+fn+oizvN8XFq8d+8ely5dwjlHo9GYKi+maXqkn+udNNEfVSLsdDqP5hC+i/GIYL0OTC4Iex6s1xviOZnCPjc3xzd90ze9KYP2G8XDpmBNPjW2Wi2+4Ru+YbwQXrx4cdyZmaYpp0+fHqdCv13mzu/67Lfz/j/zFP/0b/8W/XsdpJToOKDsl3itsMYQC0GkQqoBaB1yz1bMSkUqNW1XUq8CIhGD8FzPBwRSMFeLSSvJ0BqsdOMBxCfCOtuiZM6HKCFRRlJZB8KzqPYN6h2TMxgoQhligRxPoprcyEsaMkSKkeG9IWd5abDNuXgWDbTk6DtWOcuwylkNGqOU9931uyZjBrakdqD0txrNsFVlzB/otJstAy6ZNsejOjeHPZyTLOgG83qerF9SiIqDvXlaKIZFxVBVpCqgcpareQ/pA5bCFql3ZKEhOEKnnxMxF4cbCASr4Swn9fQ1czKa5ZYYcIqYti/ZzAqO7RIngIaOyaSlYwpaOuLl4Q4LeoYTE760GZ3SMUMGto8NI+aGh7sLO66k13dIPFK7MRnLnOFOkbMaTKoLAkXAei4IEo1zHikEHVuSGc+i3i+V7ihDTISqdjtkc4OvNLETrDtD3xUkSULqBYX0bOU5iy7Be9h0hlYQUnpPOzdEUcgwDui3C6J6RNUrkWFAfXmGT/5Pf5HHv/7M4QP8NqDT6fDiiy+iteajH/3ouDPwQSKOY+I4ZmlpRNq99wyHw3Fp8ebNm3S7XZRSh/xcYTi6Ft4pP9erlQhfT7j01zr8m8zBemRyf8igtR5fdF9JgXozKez3Cw+LgnVUd+De4tZsNomiiJ2dHRqNBseOHaOqKra3t7l69SrOOZrN5ljharVabzgT7I3g6W98jJ/+v/8a//BHfoVLX7yG92AchBKU1hjjMApqbhRwGRLQtp7SFswkIV1vmfEaECwFddbKITZTtIUjl4qdKmM5TkjdyG2VWEHfl9R3SU5dhaxVfZKJ0lhLx9wuu5yM9p5iBaHXdGxOQ4opReVkOMN61Wc52C8hBkJR+VG0xGTqeF1F7OiS2gFyEyAZBAHWe5QQDLzhbt6jchCJiJtVyUo4/T1OVMh6mVNX7lAGVlPFvDzcQAvBvJ5hJVgc/y4UinZWoLSbInptk3O3yFjSi6yZHSJ59DJVKwP+uNriiXBxqhNvvF9OcbXIuVMUnIoWj9gCbJmCWMREUhyK4VrXFXEesqBHxCt3FduBpRjkKBceIFdwteiypJo0tIQK7tmcnstYDhrM7OadeTy3qyFLbj+Ha60aUJcJgdsduRMqWmUDkQv6zpA5S0OlbBuPDSSyEmw58A5CHZFXHlFUBElAWVl0PebsR87y3/yjTxAeMSPyQcM5x9WrV7l27Rrnzp3j9OnT75jHSQhBrVajVquN/VzOuSk/16VLlxgMBkRRNEW4Go3G2zLkem+fnHNHEqxz5869yqseYQ+PPFhfJdi7AKqqelWCNZnC/thjj70jC8zDYHJ/rRE3WZbx8ssvs7OzwxNPPHEommKvk6jT6dDpdLh8+TL9fn9sat0jXY1G474e2yiJ+PF//gP83q/9B37z7/9faARFr0DFCmcdiZO0hSWtRwSlIRQSLWNMASIQtCNIK0/oBEtBSh574lxS8xE1EXGr32Nep+SyJIwl3f6AFRiTrJWgzo2iM+5qAzgeNtnSBfNmn1wuBnVuFNucjffVLikksYoohSOciA5YCOpcy7d4LJk2hc+akNtqyHE/IhCZrdgyGUNrWAskK2GLyMQs6X1lp2MyhrY8ZHpfDptczjZ4aje6YYjhxqBNLBOOhyts6gGpO3yzn9Epd8odTseaLhUbec6ynuXErvfsVLjApWyLx5P9z5nZimt5lyU9zym1ypVsgycOREbkWNZ9wYJeIBMVfV9Rn+i23DEZ7cqMyWJlLNdth9Nxi47JycOARhFPka5Qaq7vdPHecyra39bQVmyZklW9X1p1ePJIMlfM0bElRmQ0UHStZUmPSoej6IsBi7uhp07Ati9pFqPzvGMLQjQNFVGFgjKzhE5RRgqVO0oJlfXoSOONw2pFWI/5jp/4Nr75uz586Fi/HRgMBrzwwgtYa/nIRz7yUJa3pJTjB7w9GGPGfq5Op8OtW7fI85xarTaldO0Zzg+WF9+qn2uv2nDwntLr9d50HuIjvPN4RLBeByZv/HshnkeV3+5HCvv9wjtZIjyoWu0dMxg9qV2/fp2rV6+yvLzMxz72sbE0P4nJTqK9ZGhjzJhwbW1tceXKFay1NBqNscI1MzNDFEVvubT4p777w3z9x5/h8z/8K1z74xujQcGVZauqmK3HdNpDEhlSygLnHHM6RlYCV3o6saDKc7y0zAUpA19SE6PPuBTUaZuMOZFCBosq4lbRZUEHDF1BmGiEDrhWdJhPawReEDlJo9RsuyFzE6WyU9Est8sux8P9G0VdhNzO21MEDeBMPMcd22dexJQBbA96lN7hPFRNRZxJUhnTlAlNCeC509/idDxNXFo6YZM+KYfP2YJu8B976yw35qlXISei/S6xBVPjruyxyrRB33lP6eA/DTs8ES6wqg+WkQQrwRx3XZ85Iq5mHebVLCfC5fFfHA8XuTTc4PF0HuMdm4EhGAbMy9FxSX1ErxriopKa11w3PRZki+WJ+YOBVCzIGa7rnBkX06imb3QDZai8YmU3X2wgLVmw26RhJYt632/VsTmZ9czY0WdJidisDBsOKhxp6pGFJQ8ki370uoGtyJ2jKUeesS1f0JARAuhJS5hJFBJb06i+oecNidUMcMRKklWOx99znM/8k++hPvPgS3EH4b3n5s2bXLp0iRMnTvDYY489UI/p/YbWmrm5Oebm9h9CiqIYE66NjQ0uXbo0Xm8mSdfkkOs3G4pqrT3y54+CRl8fHpnc3+XY63CDw0b3yRT2IAjeUgr7/YLWmizL3tb33Ds+e6oVMKVabW9vj4fCfvCDH2R29nAY5mtBaz1lap30V3Q6Ha5du0a/3ycMwzHh2lsE38xiX2/V+Oyv/RD/5p/9Ab/1uX+LMY401vRzg45ihqYgtQECwb0ip9mMCTOPzkHECUEJ5dCTK8lQFajSMaNiGmEyGu67q6isBk023IBFVYMSEiIq7RhkFTUZUniHkZALyU7WRTAqNUkliOOYq6ZPHAb0+gOEhziOuOz7+MwixSjJXQuFUjV6oSQqFHN6wvzdzxBacXAO4LxusVX1mQ+mSdECdS4O13kyXeRu2aVrCiIS5oMmx6OU3rBLMzzYJSZo+TrrVZflsEkuLBs+RxWaebXAPPBKts4TyeFSXuksa4OMfgzHJ4jV5LZXggX+pLfGSm2Rep5ywItOQ6dcG2wCnjPx4ffYrgb0KstCNcOmHjDrNbEMcN5zNd9mJZgnmtiorGAHTzYomA9C4t04jDU3IHUJM2q0tHo8t8se87KJ2B3x0y0NWW6wuaGWRJjKEruQhgyx0lMEgmYeYb0jDyVxobDhSOHKOjmqHiCqkG7pCJMYooDv+ck/x7f+5W884tg8eOR5zosvvshwOHxT1/XDiiiKDg25zrJsXFq8desWvV5vPOR6srwYRdEbCkUtyxKt9aEHw16v96iL8HXgUYnwqwiTBOtBpLDfD7zdJcLXKgfudVBubGzw2GOPcfLkyftS1jvKX2GtHROudrvN9evXqapqSuVqtVokSfK6z9O3/dXn+PC3P8vnfuiXuXV+DWtG5UBZBRQ1AaWlQUy7m1NTETYw+CwnDWJCJ4ltQM86IpHQqRyDMiNMFd4J0t3Qz3mZkkeOuBgdl8BJTKSw5cgYH3pJ6DXdRDNTTaiiBQx1QJhJlvfULQvWOKrUUq+mO/i2h13mwxpqgiw0dMJaucOxqDXO4gKIZMCgKiidIdz1QfVkSZ+K0in+pLfJ2XiZ+sRbKA+hismlIXbTy4twsFUVbJb3OB4uMSOaU5EQJ8MlruYbnI1HZbshFXfyLnNylhPRMXJbcs90WQqny047uqAoYFkfZ7tsk+ppdW0oK9YGfZb14iipPd/h1G5p1XjLtazNkp5nYXe4ddPUaNshBT0UAceCaUK2WfUIwhr1IqauY6xzXKl2qNVqzNj6OJahVI5cwIId3SA9nk2R0cgTGjLF4emakppJqfAMIkc+KHGZx2CZaTUxpWOzyqj5BCfASY2tJM44wnrIsadX+fFf+F6asw8myuS14L1nbW2NCxcusLS0xNd93dc9lLNP7xeEEKRpSpqmrK6uAvtDrvfWnCtXrkw95E0Sr72HvKNM9N1uFyklVVVNEa9HMQ3vbnz1Xg0PEEEQUBQFFy5ceCAp7PcDbxfB+kojbm7evMnly5eZn5/n+eeff8P5N28USqkpqd97T57nY8J148aNcSr0pJer2Wy+5s1hdrHFT//2p/jCL/2//M7P/R7DjQGqrjH9gjAJ6JYltUaKxxEOAiAgd5YisiRW0jARw9CQFpqWqEMO3bCicp5u1ccLi6oEi3GD0I5u9Emp6QQ5s2b/mDWriHZUMFNMZF6ZgHt0WGafeCghKbKSPIB4IiZhTje5lW9wOp42qq+Es1zL73FuQt0Z+pKBK7k76DKftkhsRCQS6iTUgyYVlu2qz9wBhSslYmPYZiWqo4WirQru9XvMiBbL+hhbVQfjHUocVBUFy8ECN2wHYzwLcoZVvR/hEMsQbz09UdDwEXeKNqUTLAZzo4KlgHlmuacHLJmUSjjukdEoaizrkeoZSs2cn2VNDrFZhfQhqwcIlPWOLTNkTs0y1EOsH5Fc6x03yx2W9DxiIo0/Cww1NY/I4F6QkxgohCUsY8LdJXboCkygaFYpCMilAa2p5aPz2BY56SAmJaaseaKhoGgbeq6kJhJK4ZElqEZIMSxJF2r8l3/9z/Dx7/vYUV/XB46yLHnppZdot9u85z3vGXftfa1hcsj1iRMngBGBmvRz3blzhyzLSNP0kJ/Lez8OVH7yySeBfX9Xr9fj3r17D8UD+8MO9ya7CN/Ma94IhN+r5TzCa6KqqrHU+/u///sURUGz2eSZZ555KGvkd+7c4ebNm3z0ox99YO8xqVrBvuQNoxbtl156CWMMzzzzzFRWzTsNay29Xm9K6SqKgnq9PkW60jQ9cnHbudflc5/5Va79x5tIoMwqwlghhg6kx4WWuBQEQjPwBcordCIZFAO8t1Nm6HXTYVnvP6G27YBaFFPYgsoWCAFCwUJQI3By3Am47XssiOnv3a1yk5PR9HHuiCEzPh7HQ+z/7T3OxItUWEwAm/02pbOUrqSmatRFjWQizPOu2+CUPtwFm8mCVCoCt7995x3rVYftqs/JdIXYH/YhrpdbHI9nxoqZ9Y5bxTbea1qqCYmhaY72L94oNqi84Uy0yqHWv91tXc5vcyxcJJWHCX2uDH1pEB5aNkRPNAT0ghJnJZHZJ6WlNrjAICpJbPbVscpb7pYdlvTceD9Kb9g0fWo71T06AAAgAElEQVRRSlFmzKsabTekoRsot1sqF0NqPkE6QeErBt7QIMFJ6Lqcuo/JfIXaHXGTmZI4iiilRwaa0+8/zt/6R99LY/bt91oBbGxscP78eWZmZnjmmWeO9FA+wjT2hlzvlRc7nQ7GmPED6enTpxFCjNX9P/zDP+STn/wk3nt+53d+h/e+973v9Ed4KLGn8P2NYz9CJN/497BwJZ+78/MPLG/sEcF6naiqip2dHc6fP0+v12NlZYX3ve99D+3Txfr6OpcvX+b555+/79t+rXJgVVW88sor40DV06dPvyvMrnsq196/Pcl+0jzfbDanVMrf/8KX+KW/8y/J20NE7iGAQApUATaF4WBAI47AeaSR6F1ytGXbxIGmmSQEOWzbPksTJGvLdJnTjfGYHI8nC0vSMsR4S+5zjK+oKJlttMjyDGsMHo/H0UhrxEnI9nYbD1SuIpYBQRAShzHZIEei8KFjgSaTJKXyhqEdsBAcLEt4Ntw2x/TB8TRwr9xmPq4x0IZOf0hLtojkiByt2w1OBUfHk9ytNmipmI2qz6ycJVH73YqFq8h9j+Vwn4x245Isc9RsSuZyLDmLE/vpvONmsUksajR0nUE0pFWG4+NeOsM9+jRdc/yznu2jpaMRpNzJd1gJFg4djztFm3k1z45rs5TUiV3ApumB09TVftPBpumifEiyS+qscAx1RSA1/axPgKRwlqVdgt0TOSER0gp6LkcgiUWIqQnyfkWQBhjvqSzgoL5Y5/t/+s/z/J97/5HH80HDGMPFixdZX1/nqaeeYnV19aFd/x5m7A2vv3DhArOzs6RpSq/X4zOf+QwXL17k9OnTXL58me/8zu/k7/7dv8u5c+ceHedXwSOC9VWC8+fPc/nyZc6ePctwOCRNU5544ol3erdeFVtbW7z44ot88zd/833b5lHlwL1/e4vGK6+8QqvV4qmnnnpbAlUfFPYk+knSlWXZeAzHHumK45if/+xv8gf/6svYzEBlCRKF8iCkwPUsFkPQUvieJdntJtyyXeZVEy88Q4ZUtqCmI1oqRXpBL8xolPuEo/KGoctpqf1y3MBmaClJ5L7SY4Sl8gV1MX3s71b3OBlOl3EKX1L6ghk9XeLLyJHOU1fTwZvGW2xkqJuQgc0pY9jqdIhEQuZzTsdHGdDhTnmXs/F+R2GJYa1qE6oEAsl8dfT3pHAlme+RuZJGOEvsptUoIyzEhkYZcqvcQhHRUtOq3la1w4yO2TRd6rI1Jj97cN7RjUs63Tano+WpZPi1cgftE9IDxG/DbDGnmzR2yZXB0g8q4nx/21u2i54gW23bR6GJRYxTjiKoKDNDmia0+33SKCGMQzqdIcppwmZI0StRcYBONc/9+ffzIz/7He/Yw8rOzg4vvvgicRzznve8hyQ5HMr6CF8Ze9Mqtra2eM973jM20APcuHGDT3/602xvb3P69GmuX7/Ol7/8ZWZnZ/nEJz7B5z//+Xdwzx9O7BGsz6y+eYL1+bsPjmA98mC9TiwsLLC6ukqapuPS18OM++3BOpj1Mqla9Xo9Lly4QJ7nPPvssywuLr7rn7gm1as9FEUxJltra2u8/PLLCCH4xu9+jPd922l+/R/8Hndf2QLnyXKD8gKrK+o+xnfAx5KhdCjtmS2bVKElGChq1PAyJZM5/RJMkFMVFTtVj6ZKaaiUQGgCoRm6fFz2qqmEHdslEHqsyGivyKwjlyXxxIKzohdZq7ZYCfZLiJEIqXxF7griCZKWEFPEFaa0aKHo24yuHVK4CptBGsTMyRn0ULC8O0NvBriW3+VMfHiA77FwhWv5OgJBECTUbINZsQQWsHC1miZgAB0zYKvqEYsaYRQdIlcA0knWB31ulBln4xNHnkcfKNaqgoD4ELlaL3eIojrhIGFRJdwtOiRaUAtjNrIBc2o/GR6gH+RQaRbUCt57OlFFng/QVUjN7pItb9k03dFrxWh00iCoqLkRie2TQSWJTYQINGXpaNDAKMewbYjSGF96jHPoZsjKk0v8+Of+Micee2c8Ts45Ll++zI0bN3j88cc5derUu/7afqfQbrd54YUXSNOU5557bhzh473nC1/4Ap/61Kf4+Mc/zm/8xm+M150sy/jSl75Ev99/J3f9oYf3by5y4VGS+0OCubm5MWEJguBtj0B4o7hfBOtgq/EksTLGjA2ap06deuDzFd9pRFHE0tLS2NC710HUbrfpRB2+++98jD/41+f5D//iCq6QVL4kcSE7VUbajDDDEoUkEAHWesqqQsUGhpaGTIlNRM8PaJk6ITE12WTT7KC9JPc5QU3RHXTYMX20ULTSOg1dZ7tssyhnx+eloepsmTaB0GPvlRCCuWCWtusxI/dVnrqsMYhyynxA5kpUpCmtoeiUeAlL0QLapzRkSmPXqlTIgswWhwjLsWCVDdlh0Y2eBDumz07VIwxTUrlMqQc0bOOQbWo1WGUz6DFXptwpN0EEzMhZlnbN88Za7tpNVvdCQZ1h3bVJRIOmX6CpPdfytSlyd7fcwjlNS80QMyqz3qo2OBEsMiBjgKUhZ6Ha35mGatAPcwY2p6H2k9YLUbFTDpixE0Gi0rPZ7jGn5shdThH2sZUlcOEuMYMytpSZJSliHI6uyEZETIBtelxbYLzBxsBAMCAncTG5qGi06nzX3/g2/ovv+aZ3LAW91+vxwgsvIIR4oEPXv9rhvR/nIx4kqVmW8ZM/+ZP86q/+Kp///Of5vu/7vikCmyQJzz333Du164/wFvGIYL1OTH7p3+zA57cTe0Gjb3ae3+Tw071tTHYHrq+vc/HiRdI0/ZpdfCc7iE6ePAnARz7yEbY/vc0v/My/4I//zStklUVqRZ6VYCVeSnqmy1zUJKwiXM9TJYJ2VpKTkSQBOQXxrsF7Xs3QlX2arg5DmBULmNQgMoHJFAaImOUmbRIb4bA47wjjkDV62LyilqZYZymykjSNuWW2USZAC00gQpSJ6cgOs8wiCkEENHZXhrXhOiei6dJf5CJ2bBuFIpwY62OkJcsqzpvrzKg5GqrBvG6Mw2aiqsZO0GXWTkvxA52x1emzZjucSQ4rURpFSy3QjgajUTBVzKxYHA+pBsGSXuW22SKSiqx0zKqFqQgIgSDxTc4PbjOvZ2gcKCWuVRtEok6yq0RlvmTdrRNFEalpMCP3ydUwKXB9wZwa+dG0DrCBRuUai2XDdZGRpOoZAhFgAotWIbUyJRclKtaUbYOqKaQM2en0iaMYIQJcIvnGb3svf/Z730+/3+d3f/d3x51ne91ncRw/UBXJe8+1a9e4cuUKZ86c4ezZs+8YyXu3I89zXnjhBYqiOJRsf/78eX7gB36AOI754he/OO4ifIQ3jkc5WF9F0FpTVdU7vRuvib3IgdczM/EgDnYHTqpWg8GACxcu0O/3efLJJ1lZWXlUMphAGIasrKzwU//wh9ne7PA//sSvcP7fXcYUHqXBS0ti6wwrgwstGlCZpNSWumlCBjmGqlHhqoogVCQuxmiDHozOqc40RVQicoEUEoFgxs1S1HPqw10/UwUxUDRzwsFIaUoUUEDlPHEUo+3+5d9yLe5UaxwPp0t1y8Eyt4q7nIhWp37eUk1ul2toIbEeWsksQRlRZ4Ganqcrd2gckKokkqiscdfeI5ExZeSIfA2VJ8yrBBTcLNY4Hi4hJ7oe71Vb5LaiVS2wYzc4eSCl3uPZEV28j+lmZhz6uYfcFWyYHWblAiv6BMYbtlSHOdNkx3YpnWNGTUc1dGwfLeuIKuKe3WE+aOKVxymJHkRjFW6bNrGto3ujY9n1fWJqqIFCSYerOaquoPSOru9Skw0oHbk3hJnEB4YwjiGUfP23PMlf/x8+QWtm9LBycFzU1atX6ff7BEFwKEj3fuVPDYdDXnzxRcqy5MMf/vCjDKa3gPX1dc6fP8/S0hIf/OAHx+uwc45f/MVf5LOf/Sw/9mM/xs/+7M8+6sR8i/j/2Xvz+KrqO///eba7Zw87hBAgQAAVRUhQf3W6WqfbjD9bbTsjiKXT6lTHbuNMazt1a/vQtrZOnU6d0fqz1enY77Rjx5muP0cRcF/IQhYgCUvInrvfe7bP9494DveSqBASchPO8/G4f0AucHI5Oed13svrVag2DZ7AOklmYgULRi0JTlZgnRhmmiusnBigrq4uFi1axDnnnFNQvl+FSHllCXf+5DO07e3m3lseo+fAAJloFjNkYKYNgqaPuK4TlkIYps6AGKLUV4xqqJgxE1OTUDI+sjDaSgolkGzIZtNopgLaqO+T9MbsgT8ZIO5PUqQfX9/3JwP02wPMkY9v8oXlCLFMlCItjJZzCZivzeeI3sMi33ExZQmLsmAF+5NdaLIPYYMmBYioJZTKCxm0BpirlSMbxwWRhESxVUY0EKPEGH1it4XNoDlEytbxESJpppjP2HmtOep8+u1hStUwvekB/FKEiFJBWHW+voDD2WNuhuAxfbTyFJZHhUBQAQuTETVGkR0h6cugpgLMUY7/W6qkYttB+v1JfJafUv14q1PXDHTJosh+Y1tSQEQq4Wh2iLA/gpXVKZaKyNgZTMkmwmhlKy0y2BqEs6Pf74gdxU8QNaaSUTKoso+wGSFmxQllw/iL/GQSOr4iH0tq53Hzt69m2apFeZ/FeHFRjseSI7pyM/NyRVc4HD6lqpMQgiNHjtDW1sbChQtZuXLlrG73TyWWZdHa2kpvby91dXXMm3e8Ajw4OMj111/PCy+8wC9+8Qve+973eg+osxhPYE0ATdMKXmA54sg0zbd9Onors1AY9b1pbW11Y4AKMcC1kKldX8U//vpL/O+TL/Hjb/6S/s4RfBGNdNRC9amkpRQ+3U+IIP2ZKEEpiBIQ6JksWXRK5GJUSUVOycSJUSJVjrbHdDhsD1HmH62uCMkklUwxaA9TUVKOntUx9NG5r0PmUUr8RWiaSiqVJhQO0q8PIhsSqk/FH/ATjSUQQqI91UVEKSKohtGEHyyFCmUp/WYPC7Q3xNcbT34VSiVJX4pQ1p9nHCpJEorp52C2G58UoEgpJyRVElKcPy44avSwUDsu5kxhMmQPo/kD9BtpSnxzUO2xIj4kFXMgfZSwHKZcXTDm67ptkNRNotYQxdkwvhyhYSgG/ekhSsw5aFkfAoiHMujJ0SH+MmsO2hsRRraw6bcGCUtFlMtzwQBdqPSYg/i0IJGiIIZhkBVZlFQALauQFhmytj5aqVIFWUVHTfuxgxZCgbASxsDCUgRz1lbwqS9/iIvee95Jn0uKolBWVpYXR3Pi8kVbWxvAmPSCNzP5zWazrv3MueeeW1CedTONeDzO3r170TSN+vp6d9tSCMEzzzzDddddx7nnnstrr7121pqzTgWCnImBU/xzU4knsCbATKhgSZJ0UoPub9UOTKfTtLa2Mjw8zMqVKwsmBmgmEo/HCVZa/NWd72PgkM7/+dHTHNMHUQMKUkrDjNhksjphLYRlWdgpDb/kR2BzxOgjoPkIBnxoGR8pNUHIHG0jlcnljGSHKJVLUKQgxQRBhoGRPuaoc/G/8d8VlGAo288ccy5BKYhIQYQgI9Ygfr0IDI0SKTza+pLBCCfR0vlGn3PUBfSLfuZI+e20QCbEgNVPcShCRugkkmlK/BUoWT9lUhUD5lFK5RNic5CoVBZwOHsETdYwbJtipYIiaQ5kR9+TNJPYJChTyxAI4kocZAXVCjFHrcLAIOlPEs6OVuxiVoy4laJUmUvYHL2x6SLLiHWMYqUIKwhKMkiZcryiYMsWA9ERIlI5pogxwgjlajmD1hCK8FH2RuVPINBDWeykSok8BywYGBxGwYdfCqIrFqaWRpE0NCXAYCqKmbHxB3woIUgls/jCGsKGysUlbP/yh3nnBzZOyrl14vLFia1FJ77F7/ePiW8ZHBykpaWFyspKGhoavKr0BBFC0N3dTUdHx5i5NcMwuOuuu/jBD37AHXfcwec+9zlvpm2SERNsEXpbhAXCiS3CQp/BguOD7uORW7Vyhtid79G2bbq6ujh48CDz5s3joosu8mYEJkhua9XdtLxY4SNXv5PfPbGHh7/zJEc7B1FMCRMdocsIXUILW1gYKLpCiVlBVkthp0YFj22YHDZ70CSVUMCPT/gZ1IcoV8rdKlKlMpd+c1RkOZTLc+g1jjFPO94uK1UrGDGHiChFbuUGQEuG6aOPuXL+U3aJqCBdlMLMWMRScUBGkwKEpHL64sOUKCWUKyWQc9pVqgs5qh9loW80LzJtpxgxowghUazOww5liWSCyCckNAflMFHLYDg4goipBE8YjtfQIK1xlB78apCQVUq5kv8eyQeqHEa3VTAttDdmu2zJwggb2HGVMnlUcGlSBVbQoN+MYcsgW6NX35gUQ+gywXgYBTA0nUQmTUguGbV2jZhk4xaq4ccMm5gpG5UAWjHocQt8Al9Eo3JZKdfc+Ke850NTl64A47cWTdPMi2/p7u5G13VgdEO6tLSUTCYzbuCwx1uTzWZpamoimUxywQUXUFp6fCGis7OT7du3MzIywjPPPMP5558/jUfqcabxBNYEUFU1b06pUFFVdUwF663MQgGGhobYt28fkiSxYcOGvFaEx6kxNDREc3MzmqaxadOmMZFK7/lgPe/5YD2/+9UeHrz3CQaPxkmP6CghEJaMnQEtDIaRBd1CLc4iojKqrVEqzyWtxZGyYWzAT4ABO4awbSQJgkEf4WCEEXsII2WODphrPkqCpfRkjlIsF7tVy6A/hOnXMbM66WwaS1jY2EiyTDQcxUhbWFlBQAuj2j6k4SAD5lHm+/JnhkqVStJSHNM2CMrHzUNt2SIYiDCgDGElBcVKBaU5DuhKSiUux/DZKkE5hKkYZLQMZgb8lEAMhsxjqJrfFYGWbNKX6cNPhJA8n4yeIuobpkSMnq/D5iCGsCix5qBx/OHgmHUMC4Ny3wLkqN+VdDE7ihb0Iaf8aIxWxLJKiqg1hG2ZBDQfqpIFv4QdVwnJRWTUFMKSUWM+JG00TsdMQpIk4UgRhm1gFwvKl5XwF5/9Uy77s8lPVThZVFV1MzoHBweJRqOUlZWxYMECUqlUXmtxvK1Fj/EZGBigqamJsrIy6uvr3QqgEILHH3+cG2+8kSuvvJLvfve7Z+Wm9ZnCG3KfRTgbO4ZhuGZxhciJLcK3agdms1na29vp6+ujpqaGqqqqghaPhYyu67S3t9Pb28uKFStYsmTJW1YF3vPhet7z4Xr+8OQLPHTff3K4vR+hSJjCBmGiFElIiQDZqISpZNA0g1Q6hWrI+Et0pKiKhExQFCP8JrZlIWf8WICCH9MXx5+NIBkyugFh5qEH02iJ4OicXhbIamSVND61iICTwyeAKGSkAcqUSiT7+PdQqS6k1+hhjjovb+MvYIcZMvsZYQiBjEaQkFyCTBEyIPnTWMJAsfJbUZYBveYASIK56hIUPZLrskC5Oh9DyaL7MkiSioj7KJWPz18F5BC26afT6MQn+ahQF+T5baXtFHE7SkgqJyhpDGejCMnAhw8dkyK5HDKj7zV8GYQsIaVGw5cNadRCw8zYiDQkxRCBUBBN8SH8FtHMCKrqx5ay2EEZWdHIqBmWrVnI9ps+zEXvPPkZq6nEsiza29s5evQotbW1Y1r+jq+b01rcv39/XmsxV3Sd7QPwtm3T3t7OkSNHWL16dV5sUCKR4Itf/CJPPPEE//zP/8yVV17pVQWnGG8Ga4aT+wOiKIo7QF7oAsvxwsqtWuUKKyEEhw4dYv/+/VRUVLBlyxbviXWCCCFch/eSkhIaGhpOKVLkXZdfyLsuv5CmV/dz3zcfo/mVLrK6hWyomHIWVZXwaz7SySz+QAA56yMzAhlihMI+0qk0VtpEUWRKQ8WQVlBQ8etFpLU4ASuMLEZvjEoiSEqLEbIiSG+EHfutIBk7haToBMXxTcQiUcmA2UeZWoEqjV4yTAx8BBhS+tFkjWQqg4qfoFREQKrElkxSdpRwjn8UgJoNkrSTWFKUSHEEXZiItIIiIpQpEYQQjMgDlIoKpDfqSyPmEGk7TcgqQ80GiVrHqFDmIL8RO2T5dLJyBjIBypQlCASZUHLUZ0y2MWQDkgGK5eOzV/6QD8NWsXQNLWgSywyDNWr8GXljg1AXWeJ2lLBSimaEEX4Todj4UyXomSwxRggQRi32k0xkCURU5CCsvWAZN/zd1ayqW3qqp9CUEY1GaWxsxOfzUV9fP26MVa6v2+LFo35kTmvRCUXv6urCMIxxtxbPFhGRTCbZu3cvAJs3byYcPv6z8sorr7Bt2zbmzZvHyy+/THV19TQdpUch4AmsU8Ax2YSZsUnoDONbljXudmA0GnVjf9avX09l5fihvB5vTzqdpqWlhXg8zpo1a5g7d+6Ebzhrz1vO/Y/9PYN9I3zvrkd4YWcz8QEdSdVIpFIoIkDGtEjZfZSEi/BZGtmEhZAlQnIZCEgmLNJylLBUPDrLJUlkgikENgrKaPRGBqIiSlDx4w+MbsQZtoEkgRSx0bM6mubDtCyyKYse/RiKrBKSSlAlHxJFqFlIk3ijUnV8/kkWKmGpnFQwRihdjIlO1BzGEAaaEsRPEUeH+pmrLsz73iVJImRWEPOPoJs6qhHCL5fiU44LtVJlAXE7RtruoSRUgZIJIXO8/SKwyRoG/ck4YBGUQ0Tk4KhfltWPJDRCqWK3PRiNR7Gw8UsRtJBGUsRQNQVhyETMMnQrQ9rOEMyWIPkkiBhIaZlwKIRhZ7FVleLFfja9Yx2f/+pfUFqW3wqeTmzb5uDBg3R2dlJTU0N1dfUpnZe5rUUYfYjI3Vp0QoslScoboC8pKSnoh8+JkGtlsXjxYlasWOFW+W3b5r777uO2227jC1/4Al/96lcnzZvM4+3xWoSzjELfJHRibXp6egDc1HZJkjAMg/b2dnp6eqiurqa6uvqsL/lPFNu26e7u5sCBA8yfP5/169dP2iZWxdxSbvvuDdi2zU8f+DW/+ven6OkawtIy+P0aRWYxpinIooMso/llTC2FioZiyYTTxWTkBD4zAlkZMwuGyGCIJBG5fLSFJoFup9GTWcJyKYoE2JCN2sRFlHK9FAUoeiNex5Ay4LfdTT+AABFs2cQIpNAyISzVIGHGyBoZRFRmQAxTrFYSlCtx63kCSpT5DJh9ROQIsiQjwhbRWAy/VIyWLkYRFnHRj08JIQkZIdmYgQyWsJFSQcJSmLSeBGmYiCgjZccwNQPZDKGkQ0RkJ4w5SzQwhJ41CMslKEJDSAIR0dGzNj79DUHktxhKjhCgGENSkEImaZFAtn1oRT6Sdgw9beJTZfBLIMOi5ZV8+KOX8vFrLy+4n6FEIkFjYyNCiHFnACeCJEkEAgECgYDr73Ria7Gjo4NkMkkgEBiztVhon9HJYhgGzc3NjIyMjLGy6O3t5dOf/jStra3893//N5dccslZU80rFAq1RSgJMdWLirMHwzDcsONdu3ZRU1PD/PljzRKnk9x2YDQapa+vj5GREWKxGKqqEggESCaTRCIR6urqJuWie7YSi8Vobm7Gtm3WrFlzRhYCDrQd4v57f87zOxvJJg3MJCAEwbCPVCyLXwqh+EDPGvgIIms2psiSzaZQJJWiSBHCFCTTcYrkUlTZNypeECSsAUqV/FictDxMyC5BkVQENpZkImQT/CZG2iRrZrERSEIm4AsjaRa+TJHb3nMwRAZ/REJJj0qsrJ1CV9Kofg1sGVWTkBNj21ZCthjSe7CxKJHno0r526y6yJCwh7GETUmkBCUTQnpj+CohhlACKlI24B5PVqTwF0E0kUC1fQSkCJaaRUgSshFAIFCKTAzDxspKZEScYCSEqduoQbARhEo1Nm6p49M3XsmyFeOHTE8nuZYBVVVVLF++/IzPU5qmSTQazTNFNQyDSCSSN8s1E1qLw8PDNDY2EolEWLt2rbtRLYTg97//PTt27OCSSy7hn//5n91Kn8eZIRaLUVJSwrbKT+OTT71iqttZHhz4EdFodEr8HT2BdQrkCqznn3+ehQsXurMKhcCJQ+y524HRaJTm5mbS6TSRSIR0Oo1hGK4ZYWlpqWtGWOgXvOnGsiw6Ojo4fPjwtGW1CSF4/LHf8PhPf8fRrn6MtDUqIkwJPWMiKxAKBMjETVThQ5YUpKCBSB0XKHLIxEwJFOHDxkRWJNSAjZGykGwFgUBVVFT/G5Ilky9uEtYARWoZisiv2KXsKBrq8ZahZmH7DNJ6ikQmTlAqIiiPjWBJWcME1ACqqiIHbSxTxkwprmDKECOgaqhWgKg5iEAmKJcg5QzZJ+0hdDuDKvkpUirczyohhkCW8FEESCDbSCEDywTTtNCtDIZlUFJaRDaro/lUUCQMU8cSAl9Io3r5XP786nfz/159WcH+jKTTaZqamshkMqxdu7ZgtoCFEGQyGVdsOZYRsizntRVLSkoKxhImt726cuXKvGWVbDbL1772NR588EHuuecerrvuumlZCqqurnYrigC33HILH/vYx8a87/bbb+fBBx8E4OMf/zi33XbbGT3OqcIRWNdUTFxg/WRw6gSW1yKcIIU0g5UrrJzWoHMhME2T/fv3c/jwYaqqqli2bJlrM5HJZBgZGSEajdLZ2UkikcDn87liq7S0lKKiIm+bMIeBgQFaWloIBALTGnItSRJXXn0ZV159GUNDUf71nx7nqd88T8+RIWy/QFE0UnqGLDqBgIVlSBiJDD6fQigYJJPSsRICRVbRwiCl/GCDlQJJMfCHFeykBgLsDNjCIk0fRdIcV/BElEpsySBp9eMjCKqFrEkgbGKZGBk1hc8uRjI0MBSgiIhShC0biFAGKRFAYJOyY2TtNEKSMEyFYNDCjsr4JJ+7CJi2Y/iKVWKJFJBG9SsEzGIkZIRqYmppLFNCNiIE5NH/k5RvBEsYmKYgSAmSUEjZUQx0/ESQkjKWmkb2yZDWCIRVoqkYQshIIQlbmCxcPod3vncT13zqI5SWFW6CgRCCnp4eWltbmTdvHuedd15BzQBJkkQwGB7Cun0AACAASURBVCQYDLpVf9u2SSQSrujq6+vLay06r6KiojPeWkyn0+zduxfTNMe0V9va2rj22muxLIvnnnuOurq6M3psJ/L444+zbt26N/36008/zaOPPsrrr7+OqqpcdNFFXHzxxbzvfe87g0c5tXgzWLOAQssjfKuIGyEEfX19tLa2EgwGx4iB3AveggWj6+65G0NDQ0McPHgQy7LcJ0xHeM224dWTIZvN0trayuDgYMG52peXl/CFv9vOF/5uOwMDw/zrj/6dnf//qxw70o+s2BhCx1QMNJ+GLKnEExlMOYtPDWMJiKd01FAGbAlZKBimzkhcRwgTv+onGAhhCxs9bTNEL5FwCDMrgS2PvuQww9YgQasYzR59kg7IYTDBULPIio5qhLGEgS6l8AdVBuLx0ZxMyUdEriCoHD83rSQIxSClDWAYFqqIIMtB9MQb5qJARo8hFceJJeIouo+g+cYQvGaSsmJYloRPD4GkoPptMnJs1FBXlon4gmQySVKZNIqtEPGFkX0GQoZgkY8580q4+J3n86nPfIyKitIxn3ehoes6LS0tjIyMsG7dOubMmfP2f6gAcKpXxcXFLFmyBBjtEpx4DTJNM6+1WFJS4s6TTgXHjh2jpaWF+fPnU1tbmxfS/Mgjj/ClL32JrVu38u1vf3tGbFz/27/9G1u3bnW3Ha+99loeffTRWSWwChVPYE2Q6XZzzxVWkO9plUwmaW1tJR6Ps3LlyjyPlrdivI2hVCrlVrmc4dVgMJhX5YpEIgUjNiYbIQRHjx6lra3NtbEoZIFZWVnGl/5+B1/6e4jFEjz0wP9h51Mv0N3ZSyqeBdUkkzWQJRXTl0LXM8hCISSHEUIQT4/gkyJoSmi0OoRJxsqgGGF88qi4ySYFhhxHsyKuc3xQKUX1gxLIkknqpLMpbGyEJZAkBeQhIlopmH6ySfBJpaNXHwFJeYCwP0wsObrNp8p+VDsEegCEIEkUBQVZlhGyjSz5EaZGOgmaVIIIZDH8UYQAM2sCKrIMUihDOmsgZTVMsvhCEkLIpOIZfGEJn6phWiZSyGT5svlc+u7NXP3JD1JSOnPmEvv6+mhpaaG0tJSGhoaCaa9NFE3TqKiocIfIT2wtHj58mJaWFmRZHrO1eLrfu2matLa20t/fz9q1a/OyAkdGRrjxxht56qmn+OlPf8oHPvCBgrnmfeITn8C2bTZv3sxdd901RmB3d3fzjne8w/11dXU1jz/++Jk+zCmlUIfcPYE1QVRVJZPJnPF/N1dYndgOzI1lWbRo0WlvtEmSRDgcJhwOu5EbhmG4njh9fX20t7cDuBc5R3jNhkyzZDJJS0sLqVRqRlUGHIqLI3zu5r/kczf/JUIInvrj8zzxH7/jlZdbSERTGLqFpqpomopp6ugZAYoPU9XRQhbpmI0tLGRLwhcwkWRBNjV6KRM2mGqCcJGGHpcRtkRWB3Qw7TRCtQhQSq7bZ8Y0yFh9KPgQWKiaiqr4sQyFWFZHCqoEVBkyAWTNQqgmhq1jmzBaLDYJBRUyqQTIAhsbhA/JVMAUyH4TyW9jmgamLrAkCQIWYKJgowsLRZXxh1XmzCthVV01V3/iQ9Rv2TAt/z+ngyMG+vr6WL16NfPnzy+YG/5k8matxXg87la6ent7SaVSBIPBvAH64uLikx5vcHzC/H4/9fX1bmVKCMFzzz3Htddey4oVK3jttddYuHDh2/xtZ46nn36aqqoqDMPgK1/5Ctdccw1PPvnkmPflnhuzcezaaxHOAqazRfhW7UCA/v5+Wltb0TSNjRs3UlIydoh4MtA0jcrKStczSwhBIpFwq1z79u0jnU4TDofzqlxTWdKfbGzbprOzk4MHD7Jo0aKCm2eZCJIk8Sfv2syfvGs0By8WS/Bf//kHnvnfF+no6GaoL4qw0thCACrxtEAXGYKBEJqmoRsZhCnwF/lQ0EBImJbJcCyKaeqjTvL+ED6fik+WAQ3dipJMxFEkP7IcQJFUZC2CEOAPgywkrIyMUHWyVgrLsPDLQbIihpnOokgqPrkIZBMtbJNIxsnEFRTZh8AmGFZIJIcxTQNJkgmJMKqsIDQDIQksSUZWBUiC8ooizjlvFZsaNvDnV7yXUOjkDWALDWerLRQK0dDQMCPaVJOJU70qKSnJay06Va7BwUEOHDiAaZruEo8juk68Dgkh6OrqYv/+/WN8wkzT5J577uHuu+/m1ltv5Qtf+ELB2UxUVVUBo9flm266idra2nHf09nZ6f7ayUX1mHpm9l1jGjmTAuut2oHpdJq2tjaGhoZYsWIFixcvPqNCRpIk1/3Zudg5RoQjIyOuEaGiKHkVrpKSkoK7WMFoK6C5uRlJkqZUqE43xcURrv7kh7n6kx92f++Vl5t48td/4LXXWjh2dIBYVMbQTbK2BYpN1jAxdQNZUgCBrmeRhR9FC4AEhmQiKzaphAG2jI2FomnIio0/YCJLb7R8shmiKQshRs9Tf0BB9atYaZmMkUHSbDSfgqzIZDNRJAVMU6D4JDSfjGXpZDM2iYxA8UsEikIYholOGsXno6KimHlzy1m1pob3vO//4eJLLpwx4v6tsCzLXVg5mQims4nxHvzS6bQrug4dOuRa1ThtxVAoxOHDh8lms2N+1o8cOcL27dvp6enhj3/8I5s3T21A90RIJpMYhuGGSz/66KNs2DC2GnvllVdyww038NnPfhZVVfnXf/1Xbr/99jN9uFOK1yKcBeRezM7EFuFbtQNzDS7nzp3LRRddVDDzF36/n7lz57ozDE5J36lyHTp0CF3XiUQieVWu6bSIMAyDjo4Ojh49Sk1NDUuXLj3rtic3nL+WDeevdX8thOCVlxvZ89zL7GvaT3d3D4P9w6RTGVJJHU2WMcwMsqojywp61iadtBEI/EEVVZExdRtbkrH0NAIb2zKxbZtgKIQkS2QyWTIG2LYYdXGP+EaXNCxANlFlgWEIRoMMLdJWFkkCrUgmEPBRWhJh8dIFnH/BWt572aXU1a2alaIjFovR2NiIoihj4lk8xiJJEqFQiFAo5C7xONchZ2PxwIEDAASDQX7729/S1tZGQ0MDw8PD3HTTTVx++eX8+te/npL1/cmgt7eXK664wt0gr6mp4eGHHwbg8ssv5xvf+AYbN27k0ksv5aMf/Sjr168H4KqrruKyyy6bzkOfdGwm2CKc9CPJx/PBOgVs23YH2511/UsuuWTS/53x2oG5nlZDQ0NuPMXq1asLxuvmZMkdXHVEVzweR9M0SktLXdF1KjMUp0NfXx/79u0jHA6zZs2acXPaPPIxTZPmpjZaWjrY336QI0f76O8bJBqNE4/FicUSSMioqopt2aNPmLbAFqPntGWNXtpUTUGVZSRFRpZkZEUmHA4SDAXxaQqhcJCioggLFs5l5cpqVq1eyXkb6vD7/XmRLc6rkH2VJoJt23R1dXHgwIFp81ybTTiB1z09PaxevZqKigpisRi/+c1veOCBB2hubiaZTLJs2TIuv/xyGhoa2Lx5MzU1NbNSuM90HB+sj5V9Gp80AR8skeXfhj0frIJjqlqEJ5qF5latstks7e3t9PX1UVNTQ1VV1Yy82I43uGpZlnuTzF3PLi4uzqtyTeYGXyaTYd++fYyMjFBbW3vS25Yeo+f/OefWcc65xz2A0um0e4Oqq6ub8mzL8Sqlub5KzvBzKBTKW8IIh8Mz4ucmmUzS1NSEaZqzul19pkgkEuzdu9etAjoPUpWVlZx33nkkEgnWrFnDHXfcQW9vL8899xz33nsvr7zyCi+//PJbek15TC9ei3AWcOKQ+2TaNDgVK6d6lVuxEkJw+PBhOjo6KC8vZ8uWLbNusFVRlHEtIpwq14EDB0gkEu6mkCO6IpHIKd8scz/POXPmsGXLlhld5ZhunM+zvb2d+fPnc+65507LUsB4vkq6rucZWba3tyOEyKtwFZq3W+7nuWjRIlasWFGQ84ozhdzPs6qqipqamryQ5h//+Md89atf5YYbbuAb3/iGey345Cc/CYw+2M6GrejZjBATa/dNdf/OE1gTRFVVt4V3Ok/Db9cOjEajtLS0YJom69evn/KqQKGQaxHhrEU7JoRvZhHhCK+3uhgmEgmam5vRdZ1zzjknL7TV49RJpVJuBNOJIbiFgM/nY86cOa7FhhCCZDI5rrfbie7h01HlymQybhXwvPPO87LtThNd12lubiYWi435PAcGBrj++ut5+eWX+eUvf8m73vWucSvYhSS+PWYWnsCaIM5N3DTNCVc/3qodmDt0XV1dTXV19Vn/FDueCaHTEhoZGXFbQuFwOK/KFQ6H3VwxZ0W5pqbmrP88TwchBIcOHaKjo4OFCxfOGCsLSZKIRCJEIhE3RzRXuA8MDLB//35s26aoqChv63Wqq8aOg/icOXNO28POY3RWtbGxkeLiYurr6/NCmp9++mmuu+46zj//fF599dUZ53HnkY/XIpwF5D7dOGJoIgLrxKpVrrByMsXa2tooLi6moaHBG7p+E3ItIpybpa7rbnXCsYhwooM0TWPVqlXMnz/fE1enQTKZpLm5mWw2OyuqLOMJ9/Ha036/P69SOlkZeYZh0NLSwtDQEHV1dcybN++0/86zGdu22b9/P4cOHaK2tjYv1krXde644w5++MMfctddd3HDDTfMiHk8j7fGFmBPQC55RqMFhnOzliTplOew3s4sNB6Pu0ada9asYe7cud7Q9Sni8/ncwWfDMGhtbaW3t5fKykokSeLgwYO0tLS4BoROhSIYDHqf9duQa8q4ePHiWTsbNF57Ojenc2RkhM7OzjFGlhOxGhkYGKCpqcl9mPLaUadHKpVi79692LbNpk2b8vJXDx48yLXXXks8HmfXrl2ce+6503ikHmcDnsA6DU5lkzC3HXiip5Vpmhw4cIBDhw6xZMkSNmzYMCPaLYWKEIJjx465VcAtW7YQDB537s5kMm6Vq7u7O88iYrKrE7MFZ3bNMAwuuOAC19zwbGG8nM5cI8vu7m6amprQNG3MAP1455FlWbS1tdHT08OqVatYuHChJ/BPE6divXDhQlauXOl+7kIIfv7zn/M3f/M3XHXVVdxzzz2ej9gsw2sRzhKcChacnNnoeO1ApyQthKCvr4/W1laCwSCbN2/Oe+LyOHXS6TQtLS3E43FWr149bhUwEAgwf/78PIuI8aoTjp+SI7xm2+bmyZDrw7RkyRKWL1/uCU/GN7LMPY9ONNTNFVy6rtPU1ITf76ehoSFP/HucOqZp0tLSwuDgIOvXr8+bp4rH43z+85/nySef5IEHHuCKK67whOwsRIgJCiyvRVi4vF0F662G2JPJJK2trcTjcVauXOl5MJ0muc728+fPP6UhYUVRKCsrcw1bneqEU+VyZnACgUBelWsiFhEziXg8TlNTE7Ztez5MJ8F451FubNThw4dpamoCIBQKUV5eTiqVQtM0r2I9QUZGRmhsbCQYDI5psb788sts3bqVRYsW8corr7B06dJpPFKPsxHvp/o0eLMZrLdqB1qWRWdnJ52dnSxcuNDbFpoEYrEYzc3NWJbFhg0bTtvZPrc6kTuD49woczfNcudvZrpruIOzcdnZ2cnSpUvzfIM8Th5JkggEAgQCAcLhMMPDw0QiEaqrqzEMw83qzGQyeeHozuar98D15gghOHjwIAcPHmT58uUsXbo07xp73333cfvtt/PlL3+Zv/u7v/ME7CzHnqAPljfkXmCcaDaaW8F6uyH2gYEB9u3bh6ZpXkVgEnDCbw8dOjTlMSKqqo7ZNMv1U2pra3Ndw3OrXDPtRhmLxdwqy4UXXliwOWwzhdzFgBPFalVVFUBe5I8zR5Qb+eOcT96D2CiZTIbGxkay2eyYc/TYsWPs2LGDjo4O/ud//oeLL754Rv38eUwMGzGxLcIpnsLyBNZpkCuwcoUV5LcDM5kMra2tDA0NsWLFChYvXuz90J8mThZkIBCYltm18fyUHNfwkZERjh07RmtrK7Isj6lyFeLTtG3bHDhwgK6uLi/zbpJIp9OuEHirxYC3i/xpbW2d0ZE/k0lfXx9NTU3MnTs3z3tNCMFvfvMb/uqv/oo/+ZM/4d///d9nXEarx+yj8K70MwhVVdF1Hcuy3JibXGGVOxc0d+5cLrroolnRQppOdF2ntbWVgYEBVq5cmedxM92c6Bru3ChzfbkymQyRSCSvyjXdFhHRaJSmpiZkWWbTpk0UFRVN27HMBoQQHD16lNbWVhYsWHDKW8EnG/kD5AVbl5aWztrri2VZruXKmjVr3AUVGH2A/drXvsZDDz3E9773PbZt23bWCc+zHW/IfZaQawiqKArRaJT+/n63hO98fXh4mJaWFoBJmQs623FuWm1tbW4eY6F7BuXeKB0ymUze0HNzczOqqlJaWuqKruLi4jOyqWdZFgcOHKC7u5tly5ZRXV3t3ZhOk2w2S0tLC9FolHPOOWfSoq3Gi/zJrXIVWuTPZBKPx9m7dy+aplFfX5+3dblv3z5XUD3//POsWbNmGo/UY7rwWoSzCKcdWFFR4ZqDZjIZ11U8lUoRi8VYvnw5VVVVM/4CN90kk0laWlpIpVKsXbvWbaXMRJyhZ8et27Is4vG4W+Xq6urCMIy8mBbHwHIyGRkZobm5GUVRPHuQSaKvr4/m5mb3AWAqZ6bGSzF4s8if3CrXTLIbceKY2tvbx7Stbdvm4Ycf5stf/jLbt2/nW9/6VsE/cHmcfXgC6xT5x3/8RwKBAPX19Sxbtoz169cDoyLgxRdfJJFIoCgKtm1z6NAhYrEYpaWllJWVEYlECqadNROwbZvOzk4OHjzIokWLZkze3amgKIpbvYLRm4pjhOp4csXjcQKBQN4c10QrE5Zl0dHRweHDh70HgEnCSQzo7+8f0746k5xK5E/uxmIhmuo6XmGJRILzzz8/rwMwPDzM5z73OXbu3Mljjz3G5Zdffsavq5lMhquuuorm5mZCoRDz58/nn/7pn6iurs5731NPPcXll19ObW2t+3u7d+/2vM8mGZsJbhFO9oGcwOy6W50BBgcHefLJJ7n++uuprKxk8+bNVFdX8+tf/5pwOMwTTzxBZWXlmLX+jo4OAPcmWcgDz4XAyMiI22I9mzYuJUkiGAwSDAZdA0snpmW8ykRulevt5m+Gh4dpamrC5/NRX1/vuVlPAkNDQzQ1NREOh2loaCio6tDbRf4MDQ1x8ODBvMifXFPd6XoYHBwcpLGxkbKyMurr691KoBCC3bt3s337dlatWsWrr77q/oxMBzt27OD9738/kiRx3333sWPHDn7729+OeV9dXR0vvvjiNBzh2UOhzmBJQkz1PzH7cFb0//CHP3DHHXfw0ksvsXbtWrq6utiwYQObN2+moaGBzZs3U1xc7Lq/OwPPziubzboDz86rkC7Q04FpmnR0dHDkyBFqampYunSpV2E5Aef8cwR8NBp1529yxbtTMbUsi/b2do4ePepWrbxK6unhVAKPHDnCypUrZ+xm8ImRPyMjIyQSiZOO/JlMbNt2q6snxgeZpsm3v/1tvvvd7/L1r3+dm2++uaCqbi+++CJXXXWV+yDt8NRTT/GFL3zBE1hTRCwWo6SkhPeGP4UmnfqChyF0fpv8MdFodEosabzyyQSQJIk9e/bwqU99igsuuIC2tjaqq6vZu3cvzz77LM8++yw///nP6e7uZu3ata7gamhooKqqyt0MerNWUK7gOpvain19fezbt8+tBoRCoek+pIIk1yJi0aJFAK5xZTQapbe3l7a2NmDUMTydTuP3+9m4caPnazUJxGIxGhsbUVWVzZs3z+hK4MlE/nR3d2MYxpjIn1AoNGnXpmQyyd69ewHGfKaHDh3iuuuuo7e3l6eeeooLL7xwUv7NyeT73/8+H/zgB8f9WmtrK+effz6KorBt2zY++9nPnuGjm/0U6pC7V8GaIB0dHbz++uv82Z/92bgXGSEEhw8fZufOnTz77LPs2rWL119/nQULFrB582bq6+vZsmUL69atc9uEuW1F52YpSdKYtmIhPblNBo5P2PDwMLW1tV5s0CSg6zotLS309/cTiUQwTZN0Ou3eJJ1zaTJvkrOdXIf7s2nr0pkLdARXNBolFouhquqYKtepjjzkWlosXryYFStW5GW1/upXv+L666/nIx/5CN///vcL0kLkzjvv5IknnuAPf/jDmIfCWCyGEIKSkhIOHz7M5Zdfzle+8hU++tGPTtPRzi6cCta7QtehTqCCZQqdP6QemLIKliewzhBCCOLxOM899xzPPPMMu3bt4vnnnwdGZ4ycCteFF17oVq1yfZScl67r7obZTA8hdkRoR0cHc+bMoba2dtb6+JxJBgcH3eHburo6d6A2m826wn1kZCTvJpk79DzbBPxkkEwmaWxsxLIs1q1bd9ZXAm3bztt+jUajrsdbruB6qyQDwzBoaWlheHiYdevWucP5MPp5/+3f/i2/+MUv+OEPf8jVV19dkA8Cd999N4899hi///3v39RINpe77rqLo0eP8oMf/OAMHN3s50wLrM997nP853/+J11dXezdu5d169YB0N7ezjXXXMPAwAClpaU89NBD1NXVeQJrOjFNk1dffdWtcO3atYuenh7Wr19PfX099fX1NDQ05JlpOiHEziuRSLizN7khxIV4McolkUjQ3NyMruusWbMm7+LqMTEMw6CtrY3e3l5qa2vf1oTVtm23FeScT45FRKEMPE83jlVAR0cHixcvZvny5Z4AfRNyI38cAZ+bZOC8NE1jeHiYxsZGIpEIa9euzXuw2rt3L1u3bqW0tJRHHnmE5cuXT+N39eZ85zvf4ac//Sm///3v39TnsKenh3nz5iHLMvF4nMsuu4zt27dz7bXXnuGjnZ04Auudoe0TFlh/TP3LSQusp59+mpqaGi6++GJ+/etfuwLrne98J3/5l3/J1q1befzxx7nnnnvYvXu3J7AKCSe3bOfOnezcuZPdu3fT2NjIkiVL8ua46urq3Iu801YcHh52L2zORa0Q24qWZXHw4EG6urqoqqqipqamYI5tJtPf309LSwuRSIQ1a9ZMaA081yIid+DZ5/PlCfjZYF55MmQyGZqamlz/tfLy8uk+pBnFiZE/IyMjpNNpNE3DMAzmzZvHokWLKC4uRtM0bNvmRz/6Ebfeeis33XQTX//61ws2f/Hw4cMsWbKEmpoat23p9/t57rnnuO666/jQhz7Ehz70Ie677z7uv/9+N1btyiuv5Gtf+9pZ+8Ay2TgC69LgtRMWWE+l//WUW4SOc8C6devo6+ujtraWgYEBVFVFCMGCBQvYs2ePJ7AKGSEE0WiU3bt3u7NcL774IqqqsmnTJneO64ILLnBnaU6mrVhaWjotpnxDQ0O0tLSgqip1dXUFOU8x08j1YKqtrc3bvJoMLMvKu0FGo1EsyxoTRDybTB6FEBw7dox9+/Yxd+5cVq1a5dmpTALpdJrXX3+dbDZLZWUl6XSa3/3ud9x9992sWrUKSZLo6urixz/+8ZvOtnp45DJZAuvQoUN5Asvv97/lNS1XYL300kv8xV/8Bc3Nze7XN23axN133+1tERYykiRRWlrK+9//ft7//vcDo8PLr7zyCjt37mTXrl088MAD9Pf3c+6559LQ0OC2FZcsWUJVVdUY40rHbDB3pd8Jjp2qC1pu68qzCZg8+vr6aGlpobi4eMo8mBRFoby83K3eOOaVjtjKjWiZaW3q8XCWA4aHh2d8akAhcezYMVpaWpg/fz61tbVu1fqcc85hzpw5PPTQQ8TjcSoqKrjiiiuoqamhoaGBG2+8sSC3Bj0Ki9PdInQ2+x2+9rWv8fWvf/2k/54Tr3VO3coTWDMMn8/H5s2b2bx5M5///OexbZsDBw64guvOO++kpaWFZcuW5c1xrVq1yl3DNgzDrUgcO3aM1tZWZFnOE1yTkYcnhKC3t5fW1lZXBHgOxqdPbuC18/96psRMrnllrkWEcz7lBhHnhhA7szeFTH9/P83NzZSUlLBlyxZv4WISME3TrbCeKFh1Xee2227jRz/6Ed/85jf57Gc/iyzLDA8P8/zzz7Nnz56zohXtcfqcrsAar4J1sixZsoTDhw9jmqbbIjx06NBoIcFrEc4uhBAMDw/z7LPPunNcL774IoFAwJ3jqq+v54ILLnCHl3M3gnKHnR2ncOd1KjecdDpNS0sL8XicVatWMW/evBlZ0Sg0ent72bdvHyUlJaxZs6YgW3O5prq5szfhcDivylUoFhGmaboV1jMtWGczsViMvXv34vf7WbduXV6Fdf/+/Vx77bWk02l+9rOfcc4550zjkXrMVJwW4cXBrRNuEe5MP3RaM1gAl156KVu3bnWH3O+++25vButsQAhBNpvlpZdeyttWjEajruv8li1bqK+vp7Ky0nWdP3Fb0WkDlZWVuTfI8dqKTgbj/v37mT9/PitXriz4ysVMILd1tXr16hknWMfbMFMUZdotIkZGRmhsbCQQCLB27VqvwjoJOMs6+/fvp6amhurqavdcFULw2GOPcfPNN/Pxj3+ce+65xzMU9pgwjsC6KHjNhAXWs+mfnLTAuv766/nVr37FsWPHqKysJBKJ0NHRQWtrK1u3bmVwcJDi4mJ+8pOfsHbtWk9gnY3Ytk17e3ueCWpbWxsrVqzIE1wrV650S/SOU7jzOvEGWVpaiiRJ7Nu3D8uyqKure9PVZY+Txxm4bm1tpby8nNWrV8+K1tWJPkrOMoYTHeWcV1NlEWHbNvv376e7u5sVK1Z4c4GTRDabpbGxkXQ6zfr16/MyRGOxGDfffDO/+c1veOCBB/jIRz7ifeYep4UjsBqCfzlhgbU7/bBnNOoxdQgh6O/vd2N+du3axUsvvURxcXHeHNeGDRvw+Xxj2orDw8MMDg5i2zZ+v5958+ZRVlZ2ym1Fj3yy2SwtLS1Eo1G3ajVbyXULd0RXPB5H07Q8wVVcXHzacznxeJzGxkYkSWLdunVEIpFJ+i7Obvr7+2lqaqKiI0B6xQAAIABJREFUooI1a9bkbV6++OKLbNu2jSVLlvDwww9TVVU1jUfqMVvwBJbHjMO52b3wwgvu8Pzu3btJpVKcf/757hxXfX09f/zjH/n+97/PHXfcwerVq/MqXclkklAolDfHVShzN4WMEIKenh5aW1uprKxk1apVZ6VQdTLxcqOjTNN0ZwMd0XWyc2i5raulS5dSU1PjDVFPArlh4mvWrHGXaZyv3Xvvvdx1113ccsst/O3f/q1neeExaTgCa3PwLyYssJ5L/3+ewPKYXmzbpqWlxRVcTz/9NIcOHcLn8/HOd76TP/3TP+Xiiy9m2bJl7k1L1/U8l3CnrXjitqJ3kztOJpOhpaWFWCzGmjVrPJuAHByLiNwql2M5kjvLFYlExpxTqVSKpqYmdF1n3bp1ea0rj4mTSCTYu3cvsiyzfv36vHmqnp4ePvWpT3Hw4EEeeeQRLrroomk8Uo/ZiCOwLjwNgfWCJ7A8CgUhBA899BCf//znaWho4MMf/jDNzc3s3r2bV155hfLy8jzX+XPPPdetvjjRLLmzXI5pZa7r/NlYrXFCb9va2pgzZw6rVq3ylgNOAsMw3HPKGaIXQuRVuVKpFPv372fhwoWsXLnSSw6YBJwc0fb2dpYsWcLy5cvzQpr/+7//m8985jO8+93v5v777z+pnD4Pj1PFE1ges4oDBw7wnve8h3vuuYePfOQj7u871YXnn3/eneXas2cPuq6zceNGV3Rt3ryZkpISd1vRMa10XqlUinA4TElJibuxONvbio6lRSKRoK6ujsrKyuk+pBmLYxERjUYZGhqiv7/fnQ2sqKhwRddUGuvOdnRdp7m5mVgsxrp16/IihDKZDF/5yld45JFHuPfee9m6dav3OXtMGY7A2hj85IQF1ovpRzyB5VE4WJZ1UlUAy7JoampytxV3795NV1cXdXV1ecPzVVVVeW3F3M2yaDSKpml524qzpa2YWwXwLC0ml97eXlpaWqioqKCmpoZkMjluCHHuOeXNBr09Q0NDNDY2UlxcTF1dXV61uaWlhW3btuHz+fjpT3/KqlWrpvFIPc4GHIF1QeATKBMQWJbQeSnzU09gecx8hBAcOXIkT3C9+uqrzJ8/n82bN7vZiuvWrXOFhmVZY0xQT2wrlpaWzjhhkkqlaG5uJp1OU1dXR0VFxXQf0qzAyWYcGBhg9erVzJ8/f8x7nA3YXBGfyWQoKirKm+UKBoNe9eUNnMSI7u5uVq5cyeLFi93PxrZtHnroIW655RZ27NjBnXfeWZAGuB6zD09gzQCqq6sJBAKu0/Att9zCxz72sXHfe/vtt/Pggw8C8PGPf5zbbrvtjB3nbMNp5zz33HM888wz7Nq1i+effx7bttm4caM7x3XhhRdSVFT0tm3FXMFVqDdHJ0aho6ODBQsWsHLlSq9yMkkMDg7S1NREJBKhrq7ulLIZcy0iRkZGxrWIKCoqOivnt1KpFI2NjViWxfr16/NsLYaGhrjhhhvYs2cPDz74IJdddllB/tx5zE4cgbUhePWEBdYr6UenTGB5V/Y3ePzxx13b+zfj6aef5tFHH+X1119HVVUuuugiLr74Yt73vvedoaOcXUiSRFFREe9+97t597vfDYzGlrz22muuH9cjjzzCkSNHWL9+vdtW3LJlC4sWLXKz8Jy24sjICIcPH6a5udm9OTqvoqKiaW8rJpNJmpubyWaznHfeeXmzKx4TJ9cmoLa2lkWLFp3yTd55wHK8xhyLCEd0dXZ2uhYRuVWuqQjYLiR6enrYt2+f+zDgCEwhBLt27WL79u2sXbuW1157bVb7tHkUNjY2EvaE/txU4lWwGJsr9GZcf/31VFdX88UvfhGAH/7whzz//PM89NBDZ+Aoz06EEHR3d7Nz5043W3Hv3r0sXrw4b1uxrq7OrQSd6J80MjKCbdt5N8Yz2VZ0vgdvk23yiUajNDY2omka69atm7LYldz4KEd0JRIJAoFA3izXeBYRMxHTNNm3bx8DAwOsXbuWOXPmuF8zDINvfetb3Hvvvdx2223cdNNNs+J79ph5OBWsc4Mfm3AF67X0v3kVrKnmE5/4BLZts3nzZu666668C4pDd3c373jHO9xfV1dX8/jjj5/JwzzrkCSJpUuXsnTpUj7xiU8ghCAWi7F792527tzJE088wVe/+lVUVeXCCy90B+c3btzoZqAJIUgmk67YOnbsGOl0mkgkkndznIq2YjKZpKmpCcMw2LBhgxcfNEnYts3Bgwfp7Owck3c3FUiSRCgUIhQKsXDhQmBUhDhia2BggP3797tCPlfMzzTbkWg0yt69ewkGgzQ0NOTNU3V1dbF9+3YGBwf53//9XzZu3DiNR+rhMYqNmGAFa2rrS57AYrT1V1VVhWEYfOUrX+Gaa67hySefHPe9uRdxr/h35pEkiZKSEi677DIuu+wyYLRF+Oqrr7omqP/yL/9Cf38/55xzjus639DQwKJFi1i8eDEwGkMzlW1F27bp6uriwIEDrk+QV7WaHBKJBI2NjQgh2LRpE0VFRdNyHKqqUlFR4S4o5Ar5aDRKW1sbqVTKTTN4q5D0QkAIQWdnJwcOHGD58uUsXbo0L6T5P/7jP/jrv/5r/vzP/5zvfe970/a5A7S3t3PNNdcwMDBAaWkpDz30EHV1dWPe583Mnh0IbMQEBNZE/sypcFYKrIcffpjvfOc7ANx4441s27YNAE3TuOmmm6itrR33z1VVVdHZ2en+uqury8vUKgB8Ph+bNm1i06ZN3HzzzW51wxFc3/zmN2lubqa6ujpvjmvVqlV5MzeOUeXQ0BAHDhzIays6N8iTaSsmEgmampqwLIsLLrjAM1mcJJwFgfb2dqqqqvLMLQsBSZKIRCJEIhFXyDtpBtFo1A3tdiwicqtc073okMlkaGxsJJvNcuGFF+a1S5LJJF/60pf45S9/yf3338/HPvaxaReIn/70p9mxYwdbt27l8ccfZ/v27ezevTvvPd7MrMd0c9bPYCWTSQzDcG+C3/nOd/jlL3/J008/Pea9Tz31FDfccAPPPfec+wN7++23u5UUj8JECMHw8DC7du1y57heeOEF/H6/O8dVX1/Pxo0bCQQC47YVR0ZG3LZibpXLeT+MVq06Ozs5ePAgVVVV1NTUeFWrSSKdTru2FmvXrp2xrVbbtkkkEnmzXJlMxj2vHNF1Jrdg+/r6aG5udhMEcsXea6+9xrZt26ioqOCRRx5h2bJlZ+SY3oq+vj5qa2sZGBhAVVWEECxYsIA9e/ZQXV3tvs+bmZ39ODNYdaErUKRTn6m1hEFz6hfeDNZU0dvbyxVXXIFlWQghqKmp4eGHH3a/fvnll/ONb3yDjRs3cumll/LRj36U9evXA3DVVVd54moGIEkS5eXlfOADH+ADH/gAQgh0Xeell15ytxV/+MMfMjw8zIYNG/KG59+srdjd3U1TUxM+n88VWv39/UiSxMaNG72su0kiN/h63rx5nHvuudNe7TkdZFmmuLg472KeaxHhtKtVVc0TXMXFxZMu1i3Loq2tjWPHjrFmzZo8zzDbtrn//vv5+te/zs0338ytt95aMF5zhw4dYuHChe55IEkSVVVVdHd35wksb2b27KFQtwhn7pVqkqipqeGVV15506+fOIt16623cuutt071YXlMIZIk4ff72bJlC1u2bAFGbygdHR2uCeo3vvENWltbWb58uTvDVV9fT21tbV5bsb+/n4MHD9Lb24ssy0iSREdHR15bcSYLgulE13VaWloYGRlh3bp14y6ezAbGs4hwzHWj0Sjd3d0YhkFRUVGe6Dodi4h4PM7evXtRVZX6+nqCwaD7tb6+Pj7zmc/Q2NjIf/3Xf/GOd7xj2luCJ3Li8bxZI8abmfWYTrwrv4cHo5WF2tpaamtrufbaaxFCMDAw4OYq/uxnP+Pmm28mEom4c1xlZWXcc889XHLJJXz7298mEom47Z+RkRGOHj3qtn+cXEWn/ePx1vT399Pc3ExpaSkNDQ0zbhPvdFAUxRXoMCoMMpmMe151dnYSj8fzLCJKSkpOaikjd46turqaZcuW5YU0//GPf2THjh00NDTw6quvFmTCwJIlSzh8+DCmabotwkOHDo2Zh/VmZs8eCrWCddbPYHl4nAzOTe7FF1/kqaee4uGHH+bAgQOsXbvWFV1Olau8vNx9cs69MTreSU5bMXdbsdAqBNOFaZq0trbS19fnRt14n81YTNPM83qLRqPYtu1GSDnCK1eY6rpOU1MTiUSCdevW5c2xZbNZ/uEf/oEHHniAu+++mx07dhTUAsGJXHrppWzdutUdcr/77rvZs2dP3nu8mdnZjzODtTL0wQnPYLWnnvBmsDw8phNJkggGg/j9fh599FFKSkp4+eWX0TTN3Vb8+7//ezo6Oli1alVetmJNTY0733Kid1JHRwfAmG3Fs7GtODw8TGNjI6FQiIaGhlnvkn46qKpKeXm5mwbgLGU451ZHRwfJZJJgMEhpaSmqqtLT00N5eTn19fV581QdHR1s27YNwzDYs2fP2xouFwI/+tGP2Lp1K3feeSfFxcX85Cc/AbyZWY/CwqtgeXicAj/72c/o6urii1/84hgRJISgt7eXZ5991t1WfPnllykrK8sbnD/vvPPQNM3dVsxtKzpbZc68Te624mzFsiz279/PoUOHWLlyJUuW/N/27jwmyjv/A/h7hpsBRuvBIQwsoHLMKCAIqNv12K44jabJBoK7qTJIbKpu2WR1s+kWTS212V2kG8tWNptodXVZE7ZJtV1TS7sUkAGkgBzDpQjDyCn3NTDH8/vD3zzlEbR1ZA6YzyuZGPI8mG9Jo2+/n8/38/WjXasFoNFoMDQ0hAcPHmB0dBQ8Hg98Ph/Nzc24d+8etmzZgsHBQWRkZOD1119HVlYWla/JomLYwQoSvGr0Dtb9iS/osmdCFhvDxdR37txhe7nKysqgVqsRHR2N2NhYbNmyBbGxsRAKhU8tKxr6bWYHLjc3tyURQsbGxlBfXw8+nw+xWAyBQGDpJS0ZExMTqKurAwBIJBK4uLhgfHwcX375Ja5evYqamhr09/dDJBJh9+7d2Lp1K+Lj47F27dol8f8WWfoMAStQsAd8IwKWntGgbeImBSxClgKdTgeFQsGeVpTL5Xjw4AHCwsLY5vn4+Hj4+/uzPTCzy4qGfhvDRHuhUMg20C+mmVuzJ90/2WxNXgzDMOjq6kJzczN8fX0RHBzM+dlWVFRAJpPhJz/5Cf7yl79AqVSitLQUcrkclZWV+Oyzz2gYJ1kUKGARq6RWq5GcnAyFQgFXV1d4eXkhNzeXM0fGoLCwEFKplDPhXi6XUzlhARj+MjQErtLSUty9exerV6/m9HFJJBK2b2b2sErDZ2Zmhh1WaQhc1lpWnJycRH19PbRaLcLDw2lm2ALSaDRobGzE0NAQwsPDsXLlSvaZTqdDdnY2/vSnPyEjIwO///3v54Ty6elp8Pl8q5l5RcizGAJWgGC30QGrfeJLClhkYanVanzzzTfYs2cPeDwecnJycP36ddy6dWvOu4WFhTh+/DgqKystsFLbYmhWLi8vZ0NXRUUFtFotoqOj2T4uwx18hlLO1NTUnNOK1lZWZBgGKpUKra2tWLNmDYKDgxfVrpu1Gx4eRl1dHQQCAcRiMecEYVdXF9LS0tDZ2YkrV64gPj7egislZGEYApa/4OdGB6yOiQI6RUgWlrOzM6RSKft1XFwc/vrXv1pwRQT4/j67Xbt2YdeuXQAelwhra2vZHa5//etfUKlUEIvFnLsVfX194e3tzX6PoazY19eH1tZWtqw4+7SiuQKOWq2GQqHA+Pg4Nm7caJXzlRYrw92b7e3tcw4JMAyDL774Am+++Sb27NmDzz77jHYMCTET2sEiAIADBw5gxYoV+PDDD+c8KywsxN69e7F27VrY2dlBJpPhyJEjFlglAb4fFllSUsKeVqytrcWaNWs4pxXDw8PZk45PKys+eVrRyclpwdfb09ODxsZG9q47Kj8tnKmpKdTX10Oj0UAikcDd3Z3z7I9//CPy8vJw7tw5HDhwgJrXyZJi2MHyE+wCn/f8+0V6RovOia+pREhM58yZM7hx4wa+/vpruLq6znk+OjoKhmEgFAqhUqkglUrxzjvvICkpyQKrJU9iGAajo6MoKytjZ3JVVFSAz+cjJiaGbZyPiYmBQCBgx0PMNwTVMDfJ8DG8bwyNRoOmpiYMDAwgNDSUvQqGLIze3l4oFAp4enpi/fr1nN1IhUIBmUwGZ2dnXL16ldM/SchSYQhYvoLtRgcs1UQhBSzy4i5fvozs7GwAQHp6OmQyGbKysvDvf/8bBQUF7NUcP+SDDz5AV1cXPvroI1Mul7yAmZkZ3L17lx0PIZfL0dPTgw0bNrAT5+Pj4+Ht7c0GKI1GM+e0Ip/P55QUf2xZcWBgAA0NDXB3d0dYWJhJdsZslU6nQ1NTE/r6+hAWFsYJrnq9HhcuXMDbb7+NI0eOIDMz06auGSK2hQIWsVrZ2dm4evUqCgoKONdmPKm7uxuenp7g8/kYGxtDQkICDh06hNTUVDOulrwIhmHQ3t6O4uJilJaW4vbt22hoaIC/vz+njyskJIQNUHq9nr102PDRaDTw8PDg9HLNDk86nQ4tLS3o7u7G+vXr4ePjQ2WpBTQ6Ooq6ujo4OTlBLBZzTooODAzg6NGjuHPnDi5duoRXXnmFfvZkSTMELB/By0YHrK6JIgpYZGGpVCr4+fkhMDCQ7dtwcnJCeXk5ACAtLQ379u3Dvn37kJOTg/Pnz8Pe3h5arRaJiYk4deoU/eG9iDEMg+HhYZSWlrJlxcrKSjg6OmLz5s3sLld0dDRcXFzYsuKTpxVnX8fi5OSEnp4e9i//+crNxDgMw6CjowP3799HYGAgAgICOI3sxcXFSEtLw8aNG3Hx4kWsXr3awismxPQMActLsM3ogNUzUUIBixBiWtPT06iqqmJPK5aWlmJwcBARERGc5vnVq1dzyor9/f1QKpUYGxsDj8eDvb09Z4fLw8ODxjG8gOnpaTQ0NGBychJisZhTytdoNPjggw/w0Ucf4f3338dbb71FA1uJzaCARQhZlPR6Pe7fv88ZgtrU1ITAwEB2h2v58uU4deoUdu3ahXfffRcCgeCpZcXZzfPUF/Tj9Pf3o6GhAStWrEBISAjnBGZ7ezsOHTqEkZERXLlyBVFRURZcKSHmZwhYnoJ4owNW74ScAhYhxLIYhsHAwAB7mXV+fj6USiUkEgl8fHzYHa6oqCg4OTk9s6zo6urKCVyurq5Ucp5Fp9Ph3r17ePjwIUJCQuDj48M+YxgG+fn5SE9PR2JiIj788EO4ublZcLWEWIYhYK1yjTU6YPVPllPAIoRYh46ODhw8eBCdnZ34xz/+AUdHR85pxbGxMURGRrInFePi4rBixQo2QM3MzHBOK46OjsLOzo4TuDw8PGy21DU+Po66ujrw+XxIJBJOL9v4+DhOnDiBGzduIDc3F4mJiRRMic2y9oBFk9wJIc/lq6++QkhICD7//HN252Tbtm0AHpcVW1pa2LJiRkYGWltbsW7dOk4fV1BQEFatWsV+z+joKBu42tvbodVq2T4uw69LvazIMAwePnyIlpYW+Pn5ISgoiBMyq6urIZPJ4OnpiaqqqnnvDSXEFjHQg4HeqO8zJdrBIoSYDMMw6OvrY8uKcrkcVVVVEAqFiI2NxZYtWxAXF4eIiAg4OjqyZcXJyUnOPK6lXlbUaDRQKBQYGRmBWCzGSy+9xD7T6/XIycnBe++9h+PHjyMjI4Od0E+ILTPsYK1w3WT0DtbA5HdUIiSELH6GnqyKigp2HpdcLodarcamTZvYmVxxcXFYtmwZp6xoCFuGX+3t7ZdEWXFwcBD19fXw8PBAWFgYZ6eut7cXb7zxBpqbm/HPf/4TP/3pT5dMqCTkRVHAIsQKtba24uDBg3j06BGWLVuGTz75BGFhYXPey8zMxMWLFwEAv/rVr/Dee++Ze6lLnk6nQ2NjI1tWlMvlaGtrQ2hoKKesGBAQwAYonU4357SiTqebc1rRmu891Ov1aGtrg1KpxNq1a+Hr68uZbVVQUIDDhw/j5Zdfxt///nfOrpYlqNVqJCcnQ6FQwNXVFV5eXsjNzZ23VFlYWAipVMq5okcul8PFxcWMKyZLnSFgveQSCT7v+UfB6BkdBqeqKWARspB27tyJAwcOICUlBfn5+Th79izkcjnnnaKiIrz55puoqKiAvb09tm7divfffx+7d++20KptA8Mw6O7u5gSu6upqrFq1CrGxsezU+Q0bNrAB6smy4vDwMCYnJyEQCDiByzA01dImJydRX18PnU4HiUTCOQU4PT2NU6dO4eLFizh79izS0tKsYmdOrVbjm2++wZ49e8Dj8ZCTk4Pr16/j1q1bc94tLCzE8ePHUVlZaYGVElthCFjLXTaCZ0TAYhgdhqbuUsAiZKH09fVh3bp1ePToEezt7cEwDLy9vVFWVsb51/jRo0cREBCAEydOAAA+/vhjVFRU4JNPPrHMwm0UwzCYmJhARUUF28tVXl4OrVaL6Oho9rTi5s2b4eHhMaesOPu0ooODAydwubu7mz28dHd3o6mpCd7e3li7di1nCGtLSwtSU1Oh0+mQl5c3766qtaisrERycjLu3bs35xkFLGIO1h6wqFOS2JzOzk74+PiwjcI8Hg8ikQhKpZITsJRKJX72s5+xXwcEBCA/P9/cy7V5PB4Pbm5u2LlzJ3bu3AngcYmwtraWHYB67do1KJVKhIeHc+5W9PPzY6+N0el07GnFwcFBPHjwwKxlRa1Wi6amJjx69AhisZg9RQk8LhdeuXIFJ06cgEwmw5///GfOPYPW6Ny5c9i7d+9Tnzc3NyMqKgp2dnaQyWQ4cuSIGVdHbMnj04DPvzNt6lOEFLCITXqyTPS0jdzZ79Fmr/Wws7NDZGQkIiMjcezYMTAMA5VKhZKSEpSUlCAnJweHDx+Gt7c3p49LLBazF5sbdsYMO1zNzc2YmpoySVlxZGQEdXV1cHFxQVxcHCc8DQ8PIz09Hd9++y3y8vLw6quvWkUZ81nOnDmD1tZW5Obmzvs8KioKKpUKQqEQKpUKUqkUK1euRFJSkplXSmwBwxgZsBgKWIQsKD8/P6hUKmi1WrZE2NnZCZFIxHlPJBKhvb2d/bqjo2POO8Q68Hg8+Pn5Yf/+/di/fz8YhsHY2BjKyspQUlKCmzdv4t133wUAxMTEsDtcMTExWLNmDXx9fQE87n8yBC6VSgWFQvFCZUWGYdDe3o62tjYEBQXB39+f08heXl6O1NRUBAcHo6amhjOx3RpcvnwZ2dnZAID09HTIZDJkZWXh008/RUFBwVMv9J5dbvH19cX+/ftRXFxMAYvYFOrBIjZp+/btSElJYZvcs7KyUFZWxnmnsLAQx44dQ3l5OdvknpmZiYSEBAutmrwIrVaLmpoaztT57u5uSCQSduJ8fHw8fHx82BCk0+kwMjLCmTyv1+s5l1kLhcJ5y4pqtRoNDQ2YmpqCRCKBUCjkrOXs2bPIysrCyZMncfz48UVxIXZ2djauXr2KgoICdidwPt3d3fD09ASfz8fY2BgSEhJw6NAhpKammnG1ZKkz9GB5OIca3YM1qm6kJndCFlJzczNSUlIwMDAADw8PXLp0CeHh4ZBKpTh9+jSio6MBAKdPn2ab2pOTk3HmzBkLrposJMPu0uzTivX19RCJRJzTiqGhoWz4ebKsODw8jKmpKbi5uXF2uUZHR9HY2IhVq1Zh/fr1nMGgDx8+xKFDh9Dd3Y0rV64gNjbWUj+C56JSqeDn54fAwEC4u7sDAJycnFBeXg4ASEtLw759+7Bv3z7k5OTg/PnzsLe3h1arRWJiIk6dOmX1pU+yuBgClrvTeqMD1th0MwUsQggxJYZhMDIywg5AvX37Nu7cuQMHBwds3ryZ7ePatGkTZ4r87LLi0NAQxsbGAABCoRBeXl7o6elBREQEHBwccOPGDRw9ehRSqRR/+9vfTPKHOiG2ggIWIYQsUtPT06iurmZPK5aWluLRo0eIiIhgTyvGx8fD09MTd+7cwfnz5/HGG2/A398fU1NT6O3txWuvvQatVguRSISOjg6kp6fj7bff5pQMCSHPzxCw3JyCjQ5Y49P3KGARQoilGaavG8qKpaWlUCgU8PLywtDQEBISEvCHP/wBYrGYbYSvra3FW2+9BZ1OBz8/P9TW1qKjowMSiQRSqZTKzoQYyRCwBI6BRgesiZk2moNFCCGWxufzERwcjODgYKSkpKCvrw+vv/46qqqqkJSUhPb2duzYsQMuLi6IjY2FnZ0d/ve//+E3v/kNTp8+zd4z2NXVhdu3b2NgYMDC/0WEEFOhgEUIIUaYmJjApk2bEBsbi5aWFixfvhwMw2B6ehrfffcdiouLkZOTg5ycHKSkpHAavH18fJCYmGjB1ROydDBgACOGhj7+PtOhEiEhhBipqqoKkZGRdDqOEAswlAhdHETg8Z7/yiuG0WNKo6QSISGEWJuoqChLL4EQYqUsf0U7IcTs1Go1XnvtNaxbtw4RERFISEjgTK03KCwshKurKyIiItjP1NSU+RdMCCFPwUBv9MeUaAeLEBt1+PBh7NmzBzwej72779atW3PeCwsLQ2VlpQVWSAghP0zP6I24idD0dxHSDhYhNsjZ2RlSqZTtHYqLi0NbW5uFV0UIIUsHBSxCCM6dO4e9e/fO+6y5uRlRUVGIiYnBxx9/bOaVEULIs1GJkBBilc6cOYPW1lbk5ubOeRYVFQWVSgWhUAiVSgWpVIqVK1ciKSnJAislhJC5GEYHGDFygUqEhBCTycrKwqeffoqbN2/C1dV1znMPDw/2ShdfX1/s378fxcXF5l4mIYQsOhSwCLFR2dnZyMvLw1dffYVly5bN+053dzf0+sf/yhsbG8Pnn3+OyMhIcy6TEEKeiWH0Rn9MiQIWITZIpVLhd7/7HYaHh7Fjxw5ERETexugfAAADIklEQVQgNjYWAJCWlobr168DAP7zn/9AIpFg48aNiIuLwyuvvAKZTGbJpRNCyBP0L/AxHZrkTgghhJBFxzDJ3Y6/3OhJ7jr9EE1yJ4QQQgh5krXeRUgBixBCCCGLF6MHjBk1auICHvVgEUKIlQoICEBISAh7TdG1a9ee+m5mZiaCgoIQFBSEjIwMM66SEDIf2sEihBArlp+fD7FY/Mx3ioqKkJeXh9raWtjb22Pr1q3Ytm0bdu/ebaZVEmJJRu5gmbhESDtYhBCyyF27dg0pKSkQCARwcnJCamoq8vLyLL0sQszCWie5U8AihBAr9utf/xoSiQRpaWno7++f9x2lUgl/f3/264CAACiVSnMtkRAyDwpYhBCb92N7nczd51RUVIS7d++iqqoKK1aswMGDB5/6ruHibgCg6TvEpjB64z8mRD1YhBCCH+51Mkef0+XLl5GdnQ0ASE9PZ4e6Ojg44Le//S3WrVs37/eJRCK0t7ezX3d0dEAkEi3YugixZoyRPVimHtNAO1iEEPIjmKPP6cCBA6ipqUFNTQ2SkpIwPDzMPsvLy3vqNUWJiYm4dOkSJiYmMD09jQsXLiA5OXlB10YIeT4UsAghBD/c62TuPqfe3l7s2LEDGzZsgEQiwbfffovLly+zz6VSKSorKwEA27dvR1JSEiQSCUJDQ/GLX/wCCQkJJlsbIdbF2PIglQgJIcSkioqKIBKJoNFo8M477+DgwYP473//O+c9c/Y5BQYGorq6+qnPn1zfyZMncfLkSZOuiRDrxJi83GcMCliEEJtn6Fd6Vq8T9TkRYl0cHR3h5eWFnp4eo38PLy8vODo6LuCqvkcBixBi0yYmJqDRaLBs2TIAT+91SkxMxLFjx3DkyBHY29vjwoULyMzMNPdyCSH/z9nZGQ8ePMDMzIzRv4ejoyOcnZ0XcFXfo4BFCLFpvb29+OUvfwmdTgeGYRAYGMj2OkmlUpw+fRrR0dGcPicASE5Opj4nQizM2dnZZAHpRfEYGphCCCGEELKg6BQhIYQQQsgCo4BFCCGEELLAKGARQgghhCwwCliEEEIIIQvs/wATipukqukxSQAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":480,"width":600}},"execution_count":1}],"cell_type":"code","source":["\nf(x, y) = x^2 + y^2\n\nxs = range(-5, stop=5, length=50)\nys = range(-5, stop=5, length=50)\nzs = [f(x,y) for y in ys, x in xs]\n\nsurface(xs, ys, zs)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"(The third line can be replaced by calling surface(xs, ys, f)
.)
Using symbolic values is quite similar, save for the call N.(zs)
to make numeric, not symbolic, values:
An alternative plot to a surface plot is the contour plot. These graph in the $x-y$ plane the solutions to $f(x,y) = c$ for different values of $c$. Contour plots in 2D are produced in Plots
with the contour
function. The same data preparation as surface
is used:
The named argument levels=[a,b,...]
will bypass the automatic generation of the levels to plot and will instead plot those corresponding to the vector of values. (Though not all backends respect this argument.)
Some backends for Plots
allows for a selection of the viewing position with a mouse (e.g. plotly()
) but the one for use within the notebook does not. This example shows how to use Interact
to mimic that ability.
The viewing elevation and azimuth can be adjusted with the camera=(azimuth, elevation)
argument. (If we were using spherical coordinates, $(\\rho, \\theta, \\phi)$ to describe position, then elevation would be the $90 - \\theta$ and azimuth the $\\phi$, in degrees.)
Specifying the azimuth and elevation can be made interactive using the Interact
package by the following pattern:
The key is to put the drawing commands within the @manipulate
call.
A vector can be added to a plot. As with parametric plots, we utilize this function that allows a vector to be added by specifying the point to anchor the vector at and the vector:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["arrow! (generic function with 2 methods)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["xs_ys(vs) = (A=hcat(vs...); Tuple([A[i,:] for i in eachindex(vs[1])]))\nxs_ys(v,vs...) = xs_ys([v, vs...])\nxs_ys(r::Function, a, b, n=100) = xs_ys(r.(range(a, stop=b, length=n)))\n\nfunction arrow!(plt::Plots.Plot, p, v; kwargs...)\n if length(p) == 2\n quiver!(plt, xs_ys([p])..., quiver=Tuple(xs_ys([v])); kwargs...)\n elseif length(p) == 3\n # 3d quiver needs support\n # https://github.com/JuliaPlots/Plots.jl/issues/319#issue-159652535\n # headless arrow instead\n plot!(plt, xs_ys(p, p+v)...; kwargs...)\n\tend\nend\narrow!(p,v;kwargs...) = arrow!(Plots.current(), p, v; kwargs...)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"(Again, this is in the MTH229
package.)
Here we draw the contours of some function g
with specified levels and add a few vectors:
Not all surfaces are easily described by points of the form $(x,y,f(x,y))$ for some function $f$ in the same way as not all 2 dimensional curves are well described by the graph of a function. In the case of two-dimensional curves we parameterized them by describing the $x$ and $y$ position in terms of functions of third variable $t$. In a similar manner we can parameterize a surface, though it takes two variables to describe.
","metadata":{}}, {"cell_type":"markdown","source":"Take for example the task of plotting a sphere. A sphere is most easily described in spherical coordinates which map $(r, \\theta, \\phi)$ into $(x,y,z)$ by:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["Z (generic function with 1 method)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["## Spherical\nX(r,theta,phi) = r * sin(theta) * sin(phi)\nY(r,theta,phi) = r * sin(theta) * cos(phi)\nZ(r,theta,phi) = r * cos(theta)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"(We use capital letters, as we have used x
and y
for symbolic objects previously in this notebook and redefining them as variables causes an error.)
We then generate xs
, ys
and zs
by iterating over a region described in terms of $\\theta$ and $\\phi$, as $r$ is constant for a sphere:
The repeating of similar lines to define xs
, ys
, and zs
can be avoided, but it isn't much nicer with this solution:
A plane in 3 dimensions is described by a point and two vectors. The two vectors must be non-collinear, which means their cross product should be non-zero. Though a bit tedious, a graph is easy to make once we parameterize the plane:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":"Plot(...)","image/png":"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"},"metadata":{"image/png":{"height":480,"width":600}},"execution_count":1}],"cell_type":"code","source":["p = [1,1,1]\nu = [1,0,1]\nv = [0,1,1]\n@assert norm(u × v) > 0 # \\timesFor function $f:R^n \\rightarrow R$ the concept of a derivative is extended to partial derivatives for $n$ variables. The partial variable of $x$ is defined by holding $y$ constant while a derivative in $x$ is taken.
","metadata":{}}, {"cell_type":"markdown","source":"The definition has:
","metadata":{}}, {"cell_type":"markdown","source":"\n$$\n\\frac{\\partial f}{\\partial x}(x,y) = \\lim_{h \\rightarrow 0} \\frac{f(x + h,y) - f(x,y)}{h}.\n$$\n","metadata":{}}, {"cell_type":"markdown","source":"The gradient of $f$, $\\nabla f$, is the vector-valued function of partial derivatives $[\\partial f / \\partial x, \\partial f / \\partial y]$ (taking $R^2$ into $R^2$.)
","metadata":{}}, {"cell_type":"markdown","source":"The ForwardDiff
package provides a gradient
function for evaluating the gradient at a point. The functions used must take a vector and return a scalar quantity. This requires some redefinitions. For example, we can define $f(x,y) = x^2 -2xy+y^3$ with:
Or
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["f (generic function with 2 methods)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["f(x) = x[1]^2 + 2x[1] * x[2] + x[2]^3"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The latter is a bit harder to read. It is possible to use a trick like this:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["f (generic function with 2 methods)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["f(x,y) = x^2 - 2x*y + y^3\nf(x) = f(x...)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"This uses julia
's polymorphism to make the easier to read function and the function taking a vector related.
With this, the gradient at, say x=[1,2]
can be found with:
Compare this answer with that generated by hand (taking partial in $x$ and the partial in $y$):
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["(-2, 10)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["dx(x,y) = 2x - 2y\ndy(x,y) = -2x + 3y^2\n(dx(1,2), dy(1,2))"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"We can also find partial derivatives using SymPy
's diff
function. That second argument to that function is to specify a variable, the third the degree of the derivative (it has a default of 1, so can usually be omitted) . The basic partial derivatives $\\partial f/ \\partial x$ and $\\partial f/ \\partial y$ are found as follows:
The Hessian matrix is a matrix of second partial derivatives. We can find it as follows:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[\\left[ \\begin{array}{rr}2&-2\\\\-2&6 y\\end{array}\\right]\\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["f(x,y) = x^2 - 2x*y + y^3\nex = f(x, y)\n\nhess = [diff(diff(ex, a), b) for b in (x,y), a in (x,y)]"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The Hessian is also available for SymPy
objects through sympy.hessian
:
The gradient is not, so we define a helper function:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["Grad (generic function with 2 methods)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["Grad(ex::SymPy.Sym, vars=free_symbols(ex)) = [diff(ex, v) for v in vars]"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"(As gradient
is defined in the ForwardDiff
package, we avoid a name collision, which can be worked around, by using Grad
.)
The partial derivative in $x$ at a point, $(a,b)$, can be viewed by slicing the graph of $f(x,y)$ with the plane $y=b$. This intersection will result in a function whose derivative is just the partial derivative.
","metadata":{}}, {"cell_type":"markdown","source":"The derivative indicates the slope of the tangent line, so the partial derivative in $x$ at $(a,b)$ indicates the slope of the surface were one constrained to move in the fixed direction $y=b$.
","metadata":{}}, {"cell_type":"markdown","source":"The directional derivative, $\\nabla_v(f)$, is the slope were one constrained to move in a direction specified by a vector $v$. This generalizes the partial in $x$ where $v$ may be taken to be $c \\cdot [1,0]$ and the partial in $y$ where $v$ may be taken to be $c \\cdot [0,1]$, for some scalar $c$. For an arbitrary $v$, the partial derivative is defined by a limit of $(f(x + hv) - f(x))/h$ where $x$ and $v$ are vectors, but may be more easily written in terms of the gradient via
","metadata":{}}, {"cell_type":"markdown","source":"\n$$\n\\nabla_v f(x) = \\nabla(f) \\cdot v\n$$\n","metadata":{}}, {"cell_type":"markdown","source":"The above includes the magnitude of $v$ in its interpretation, where this is the slope of a curve being traversed in the direction of $v$ with speed given by $\\| v\\|$. It is not uncommon to have a definition in terms of moving at unit speed, as this is more intrinsic to the function $f$.
","metadata":{}}, {"cell_type":"markdown","source":"Take $v$ to be a unit vector, then the magnitude of the the directional derivative is
","metadata":{}}, {"cell_type":"markdown","source":"\n$$\n\\| \\nabla_v(f)(x) \\| = \\| \\nabla(f) \\| \\sin(\\theta)\n$$\n","metadata":{}}, {"cell_type":"markdown","source":"where $\\theta$ is the angle between the gradient and $v$. Taking $v$ in the direction of the gradient will maximize this magnitude. Hence the gradient is in the direction of greatest increase of ascent on the surface.
","metadata":{}}, {"cell_type":"markdown","source":"","metadata":{}}, {"cell_type":"markdown","source":"That is, if one is on a hill described by $(x,y,f(x,y))$, then walking so that your $(x,y)$ is in the direction of the gradient will walk in the steepest possible way. Contrast this to walking along a contour, $f(x,y) = k$, which by definition will have no slope up or down, as the $z$ coordinate stays at $k$. In some sense the gradient and the contour are orthogonal concepts. In fact, if we plot, we can see that the gradient is perpendicular to the tangent line of the contour. For example, taking the simple function $f(x,y) = x^2 + y^2$:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":"Plot(...)","image/png":"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"},"metadata":{"image/png":{"height":480,"width":600}},"execution_count":1}],"cell_type":"code","source":["f(x,y) = x^2 + y^2\ngrad_f(x,y) = [2*x, 2*y]\nxs = ys = range(-3, stop=3, length=50)\nzs = [f(x,y) for y in ys, x in xs]\ncontour(xs, ys, zs, levels = [1,2,4,9], aspect_ratio=:equal)\n\n## add gradient\narrow!([sqrt(3)/2,1/2], grad_f(sqrt(3)/2,1/2))\n\n## tangent to contour by implicit differentiation solves 2x + 2y y' = 0\n## or y' = -x/y (which is in direction [y, -x])\narrow!([sqrt(3)/2,1/2], [1/2, -sqrt(3)/2])"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"(The scale of the $x$ and $y$ axis is equal through the extra argument aspect_ratio=:equal
.)
Were this not the case, then the directional derivative in a direction of the tangent to the contour would have non-zero magnitude (as the directional derivative is a dot product with the gradient which is non-zero when the two vectors are and the two vectors are not perpendicular). That would mean moving in that direction will have a slope up or down, but that direction is along a contour which is by definition flat.
","metadata":{}}, {"cell_type":"markdown","source":"The expression above to find the implicit derivative $dy/dx$ for $f(x,y) = x^2 + y^2$ can be done in SymPy
, but requires some work. The key is to define a symbolic function, F = SymFunction("F")
and use that to substitute in for y
:
(This uses the fact that the vector [1,m]
is parallel to a line with slope m
.)
Of course, the last part is of a more general nature. For example, suppose $r(t) = \\langle x(t), y(t) \\rangle$ parameterizes the contour $G(x,y) = k$. The $(G \\circ r)(t) = k$, a constant so would have derivative $0$. But by the chain rule, $0 = \\nabla G(x(t), y(t)) \\cdot r'(t)$, so the gradient is always perpendicular to the tangent vector, as was the case above.
","metadata":{}}, {"cell_type":"markdown","source":"The fact that the gradient points in the direction of greatest increase can be exploited. The first generalizes the characterization of local extrema for differentiable functions as only occurring when the derivative is zero (a critical point). The same is true for two-dimensional functions, where a critical point would be where the gradient is $0$ length. (By assuming differentiable we avoid talking about those critical points where the derivative is undefined, such as at a cusp.)
","metadata":{}}, {"cell_type":"markdown","source":"The definition of a local maximum of a function $f$ is not much different when $f:R^n \\rightarrow R$ for $n = 2$ than the $n=1$ case: $f(a,b)$ is a local maximum of $f$ if $f(a,b) \\geq f(x,y)$ for any $(x,y)$ in an open disk about $(a,b)$. That is, the value $f(a,b)$ is the largest in some nearby neighborhood, at least. Using a mountain analogy, this can be the ultimate peak, or a lower peak, it just needs to be the tallest value in some (open) region. A local minimum has a similar defintion.
","metadata":{}}, {"cell_type":"markdown","source":"","metadata":{}}, {"cell_type":"markdown","source":"If $f$ is differentiable and $(a,b)$ is an interior point of the domain, then one has at a local extrema that both partial derivatives will be 0. This is a direct analogue of the $n=1$ case.
","metadata":{}}, {"cell_type":"markdown","source":"","metadata":{}}, {"cell_type":"markdown","source":"However, as with the $n=1$ case, it is not enough to know that both partials are $0$ to conclude you are at a local extrema. An example where this is not the case is a saddle point. The function $f(x,y) = y^2 - y^4 - x^2$ demonstrates this at $0$.
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":"Plot(...)","image/png":"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"},"metadata":{"image/png":{"height":480,"width":600}},"execution_count":1}],"cell_type":"code","source":["f1(x,y) = y^2 - y^4 - x^2\n\nxs = ys = range(-1, stop=1, length=50)\nzs = [f1(x,y) for y in ys, x in xs]\nsurface(xs, ys, zs)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"There is a test though that involves the Hessian, whose determinant is $d = f_{xx}f_{yy} - f_{xy}^2$:
","metadata":{}}, {"cell_type":"markdown","source":"The function $f$ has a local maximum if $f_{xx} < 0$ and $d > 0$
\nThe function $f$ has a local minimum if $f_{xx} > 0$ and $d > 0$
\nThe function $f$ has a saddle point if $d < 0$
\nThe test is otherwise inconclusive.
\n(The second derivative test when $n=1$ is similar to the first, second and fourth statements without consideration of $d$.)
","metadata":{}}, {"cell_type":"markdown","source":"Let's see this in use: maximize $g(x,y) = 2 + 2x + 2y - x^2 - y^2$ over the triangular region bounded by $x=0$, $y=0$ and $y=9-x$.
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":"Plot(...)","image/png":"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"},"metadata":{"image/png":{"height":480,"width":600}},"execution_count":1}],"cell_type":"code","source":["g(x,y) = 2 + 2x + 2y - x^2 - y^2\nh(x,y) = (x>0) & (y>0) & (y < 9-x) ? g(x,y) : NaN\n\nxs = ys = range(0, stop=9, length=250)\nzs = [h(x,y) for y in ys, x in xs]\n\nsurface(xs, ys, zs)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"We can see that the maximum occurs near the origin, and not out at the edge. Let's find it symbolically:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["Dict{Any,Any} with 2 entries:\n x => 1\n y => 1"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["@vars x y real=true\ngrad = [diff(g(x,y), x), diff(g(x,y),y)]\nsolve(grad)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The answer of $y=1$ gives $x=1$ is in the region and has a zero gradient, as we can check by substituting in these values for $x$ and $y$ in the gradient expression:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[ \\left[ \\begin{array}{r}- 2 y + 2\\\\- 2 y + 2\\end{array} \\right] \\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["subs.(grad, x => 1, y => 1)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The value of $g_{xx}$ is the upper left value which is $-2$. By the theorem, the value $(1,1)$ will correspond to a local maximum if the determinant is positive, and it is:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\begin{equation*}4\\end{equation*}"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["hess = sympy.hessian(g(x,y), (x,y))\ndet(hess)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The relative maximum is the value:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["4"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["g(1,1)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"Is this the maximum value over the region? For that, we need to check the boundary of the region, that is when $x=0$ or $y=0$ or $y=9-x$. This is (tediously) done in three steps:
","metadata":{}}, {"cell_type":"markdown","source":"Check the values with $x=0$. Then we have the function $h(y) = g(0,y)$ over $[0,9]$. This function of a single variable and it has a larger value would occur at an endpoint or a critical point:
\nNope, nothing bigger than $4$.
","metadata":{}}, {"cell_type":"markdown","source":"Check the values with $y=0$. Then we have $h(x) = g(x,0)$ over $[0,9]$. Repeating gives the same answer:
\n(You could skip this last one by noting the $x$ and $y$ enter symmetrically.
","metadata":{}}, {"cell_type":"markdown","source":"Check values $y = 9-x$. Here we parameterize by $t$ going from $0$ to $9$:
\nAgain, all these values are less than $4$, so we can conclude that $4$ is a local maximum and the absolute maximum over the region.
","metadata":{}}, {"cell_type":"markdown","source":"Unconstrained optimization is related to the gradient. A related, but different question is constrained optimization. A generic description would be along the lines of
","metadata":{}}, {"cell_type":"markdown","source":"\n","metadata":{}}, {"cell_type":"markdown","source":"Maximize $f(x,y)$ given $g(x,y) = k$.
\n
For this problem the gradient of $f$ may never be $0$ along the contour of $g$. However, a maximal value will be determined by the gradient. For example, the gradient of $f$ should be perpendicular to the contour lines of $g$, as otherwise we could move in the direction of the projection of the gradient of $f$ onto the tangent of the contour line of $g$ and increase our function. However, the gradient of $g$ is also perpendicular to the tangent of the contour lines of $g$, so in fact we need the gradient of $f$ and the gradient of $g$ to be parallel.
","metadata":{}}, {"cell_type":"markdown","source":"That is, in addition to satisfying the constraint, a necessary condition for an optimal value is for some $\\lambda$ that:
","metadata":{}}, {"cell_type":"markdown","source":"\n$$\n\\nabla f(x,y) = \\lambda \\nabla g(x,y).\n$$\n","metadata":{}}, {"cell_type":"markdown","source":"This is the basis for the technique of Lagrange Multipliers.
","metadata":{}}, {"cell_type":"markdown","source":"","metadata":{}}, {"cell_type":"markdown","source":"The following graphic illustrates the method for the problem where we maximize $f(x,y) = 5 + x + y^2$ over the constraint formed by $g(x,y) = x^2 + y^2 = 1$. We make a contour plot, then draw for a few points the gradient of $f$ and the gradient of $g$. When the arrows are parallel, we have a possible maxima. In the figure this occurs at $\\pi/3$.
","metadata":{}}, {"outputs":[],"cell_type":"code","source":["g(x,y) = x^2 + y^2\n∇g(x,y) = [2x, 2y]\n\nf(x,y) = 5 + x + y^2\n∇f(x,y) = [1, 2*y]\n\nuvec(u) = u/norm(u)\n\nxs = ys = range(-3, stop=3, length=50) ## should be square!\nts = [0, pi/6, pi/3, pi/2]\nzcs = [g(x,y) for y in ys, x in xs]\n\np = contour(xs, ys, zcs, levels=[1,4,9])\n\n## parameterize g(x,y) == 1\nrad(t) = [cos(t), sin(t)]\n\nfor t in ts\n arrow!(p, rad(t), uvec(∇g(rad(t)...)), color=:blue)\n arrow!(p, rad(t), uvec(∇f(rad(t)...)), color=:red )\nend\n\np"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"To solve this problem algebraically, we can use SymPy
as follows:
We see from the first row that 1 = \\ambda 2x
and from the second 2y= lambda 2y
. If $y=0$, then $1 = \\lambda 2 x$ can have $x$ take any value. Similarly, If $x=1/2$ then $\\lambda=1$ and from $2y=1\\cdot 2y$, we see that $y$ can take any value. However, the constraint imposed by $g(x,y)=1$ limits the values in each case giving us 4 possible answers: $(1,0)$, $(-1,0)$, $(1/2, \\sqrt{3}/2)$ and $(1/2, -\\sqrt{3}/2)$. Of these, the latter two can be seen to be associated with the maximum values along the constraint, the second is the minimum and the first a local minimum.
We could use SymPy
's solve
feature to do this directly. First we introduce a lambda
variable and then using the multi-variable form of solve
:
We see that the x=1/2
case is found, but we miss the $y=0$ case. To use the constraint to find $y$, we have:
The value of $(1/2, \\sqrt{3}/2)$ corresponds to an azimuth of 60 degrees, as expected, and can be checked to be a maximum, as can the value $(1/2, -\\sqrt{3}/2)$.
","metadata":{}}, {"cell_type":"markdown","source":"","metadata":{}}, {"cell_type":"markdown","source":"It can be simpler to solve this by adding the constraint as an equation. We do this here by pushing it onto the equations to solve:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[ \\left[ \\begin{array}{r}- 2 \\lambda x + 1\\\\- 2 \\lambda y + 2 y\\end{array} \\right] \\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["exs = gradf - lambda * gradg"],"metadata":{},"execution_count":1}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["4-element Array{Dict{Any,Any},1}:\n Dict(lambda=>-1/2,x=>-1,y=>0) \n Dict(lambda=>1/2,x=>1,y=>0) \n Dict(lambda=>1,x=>1/2,y=>-sqrt(3)/2)\n Dict(lambda=>1,x=>1/2,y=>sqrt(3)/2) "]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["push!(exs, g(x,y) - 1)\nout = solve(exs)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The display of the values is not very good, but the output gives four answers which we can check via:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[ \\left[ \\begin{array}{r}4\\\\6\\\\\\frac{25}{4}\\\\\\frac{25}{4}\\end{array} \\right] \\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["[f(o[x], o[y]) for o in out]"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"The second and third (with x=1/2
) are the largest, the one with x=-1
the smallest, and the one with x=1
a local extrema, but not an extrema over the entire set of values specified by the constraint.
The Langragian associated with the constrained problem is $l(x,y,\\lambda) = f(x,y) - \\lambda h(x,y)$, where $h(x,y) = g(x,y) - k$. The solutions to $\\nabla l = 0$ are the same as above.
","metadata":{}}, {"cell_type":"markdown","source":"\n","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[\\left[ \\begin{array}{rr}b c&2 b + 2 c\\\\a c&2 a + 2 c\\\\a b&2 a + 2 b\\end{array}\\right]\\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["@vars a b c real=true\n\nVol(a,b,c) = a*b*c\nSA(a,b,c) = 2*(a*b + a*c + b*c)\n\ngradf = Grad(Vol(a,b,c), [a,b,c])\ngradg = Grad(SA(a,b,c), [a,b,c])\n\n[gradf gradg] # gradf in first column,..."],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"Find the maximal volume of box with fixed surface area of 64 square units (problem is from Paul's Online Math Notes ).
\n
What is $\\lambda$? Here we add the constraint to the equations and let SymPy
do the work.
The two answers differ only by minus signs. Only the second is possible and yields a cube with sides of length $4\\sqrt{6}/3$.
","metadata":{}}, {"cell_type":"markdown","source":"\n","metadata":{}}, {"cell_type":"markdown","source":"Find the minimal surface area of a box with fixed volume 64 cubic units (problem is from Paul's Online Math Notes ).
\n
The basic equations are identical, save for the constraint being switched. We have then:
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[ \\left[ \\begin{array}{r}b c - \\lambda \\left(2 b + 2 c\\right)\\\\a c - \\lambda \\left(2 a + 2 c\\right)\\\\a b - \\lambda \\left(2 a + 2 b\\right)\\\\a b c - 64\\end{array} \\right] \\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["@vars a b c real=true\n@vars lambda real=true\n\nVol(a,b,c) = a*b*c\nSA(a,b,c) = 2*(a*b + a*c + b*c)\n\ngradf = Grad(Vol(a,b,c), [a,b,c])\ngradg = Grad(SA(a,b,c), [a,b,c])\n\nexs = gradf - lambda * gradg\npush!(exs, Vol(a,b,c) - 64)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"And now
","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["1-element Array{Dict{Any,Any},1}:\n Dict(lambda=>1,c=>4,a=>4,b=>4)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["solve(exs)"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"This too has a solution which is a cube, here with side lengths of 4. However, note we minimized here, but maximized in the previous question.
","metadata":{}}, {"cell_type":"markdown","source":"\n","metadata":{}}, {"outputs":[{"output_type":"execute_result","data":{"text/latex":["\\[ \\left[ \\begin{array}{r}2 \\pi height radius - \\lambda \\left(2 \\pi height + 4 \\pi radius\\right)\\\\- 2 \\pi \\lambda radius + \\pi radius^{2}\\\\\\pi height radius^{2} - 355\\end{array} \\right] \\]"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["@vars radius height real=true\n@vars lambda real=true\n\nVol(r,h) = PI*r^2* h\nSA(r,h) = 2*PI*r^2 + 2*PI*r*h\ngradf = Grad(Vol(radius, height), [radius, height])\ngradg = Grad(SA(radius, height), [radius, height])\n\n\nexs = gradf - lambda * gradg\npush!(exs, Vol(radius,height) - 355)"],"metadata":{},"execution_count":1}, {"outputs":[{"output_type":"execute_result","data":{"text/plain":["Dict{Any,Any} with 3 entries:\n radius => 2^(2/3)*355^(1/3)/(2*pi^(1/3))\n lambda => 2^(2/3)*355^(1/3)/(4*pi^(1/3))\n height => 2^(2/3)*355^(1/3)/pi^(1/3)"]},"metadata":{},"execution_count":1}],"cell_type":"code","source":["solve(exs)[1]"],"metadata":{},"execution_count":1}, {"cell_type":"markdown","source":"A right circular can is to hold 355 $mm^3$. Find the dimensions of the radius, $r$, and height, $h$, that minimize surface area. (Problem modified from one here.)
\n
(There is only one answer, so we use [1]
to display just that, as otherwise the display is not great.)
If we had solved without adding the extra constraint, we see the relationship between h
and r
more clearly:
That height=2 radius
says the profile of this can is a square with height equal to the diameter.