{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Problem 4\n", "What is the global minimum of the function \n", "$ f(x,y) = e^{\\sin(50x)} + \\sin(60e^y) + \\sin(70\\sin{x}) + \\sin(\\sin{80y}) - \\sin(10(x+y)) + (x^2+y^2)/4 $ ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the function given, we note that $f$ is bounded by the $(x^2 + y^2)/4$ term for large $x,y$; however, the function has many local minima/maxima at $x,y \\approx 0$ making it difficult to find a global minimum." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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xYmgG+9atW+i6jtPppKioKKW6Abcby13nIZ1sSFlZWZSVlVFWVgaA1+sNWR6uXLmC3+/HbreHLA92uz0l8TCbWIhlLvEgLA+ZR4gFgUAgEAhuY9J1O/L5fFy8eBGPx8P+/ftxOBy0tLRkdJY7HbHQ8Tsvo+6xX4SsHA6HgwMHDoTaiawb0LX3NQAUPfMtCgsLKSoqWnD2njtJeMyX+X4H2dnZVFRUUFFRgWEYeDyekOWht7cXVVVxOBwh8ZDMSmQK3Pn2PVY8mIH9gUAgtE6keDBjNQSpIcSCYMGYFyZEp+QTF6JAIBAsLqY1IVW3o+HhYS5evEhxcTG7du0K+ZsnqrOwENK1LHT+3itp///excaNG1mzZk3ouGRZjio6dnRm/ZycnFDqz+zs7JDVobCwMOMBuIvJcrshmfvPxPNakiRyc3PJzc2lsrISwzBwu90hy0NPTw+6rseJB0i/ivRc/Yi0ZkSKB9PyIMtywmxLgsQIsSBIi8jKjOb/SB/ZSKFgPrgiVX9sAFPsn7lMIBAIBMmJrZ0wl1DQdZ329nZu3LjB5s2bqaqqilp/vm5DyUi1vY7feVmwf6rG/v37cTqdUcv9n34ftj//bNx2tbW1AFHZezo7O2lubg750Jt+9Cu9MNxyuyEtVh8kSSIvL4+8vDyqq6sxDIOpqanQ79XV1YUkSTgcDgA8Hg/Z2dkZ70s64iEy25IYi4QRYkGQFFMYRIoCXdcZGRnB5XJFpdaLHPBHFlwxb0SRN6SLFy+yfv16cnJy4gRCrDkxVnAIkSEQCF7s6LrO5OQkFosl6h6ZDI/HQ1NTE6qqcujQIfLz8+PWkWU55LKRCVKxVIyPj0e9jxUKgX95H7JFSSoYID57j8/ni/OhN2eyi4qKZnWDWQ7uJMvCXEiSFLISrV69GsMwmJycZGRkhJGRES5evIiiKDidzpDYy83NXVTxYB6/rusMDw/T1dXFjh07EgZMv5jHGEIsCIDkwiByuXmheL1exsfHoy62WMvBbExOTob8B83tY/tg+t5G7jfypppMZMRaMeYSF6LIi0AguF2InBE9fvw4e/fuDc3KJqO/v5/m5mYqKiqor69POstu5rrPFLNZFsxsR21tbdQm2d798XfOa7+3fu811H7/55SXl4d86F0uF6Ojo/T09GAYRlTBsby8vHntJ5PcqZaFuZAkCbvdTk5ODp2dnRw+fBi3283o6ChDQ0Ncu3YNi8US9Xtl2vJgtqUoSshapyhKyGPC5/OFxhQvZvEgxMKLkETCwHxvLo8djEfOxMReILquMzU1hSzL2Gy2OS+ihVoEYq0VsccUuyx237H7jBQXyURGbL+FNUMgECwliYKYZxvca5pGW1sbvb29bN26lfLy8lnbX0iq00QkEwuqqtLc3IzL5WLPnj24vhm9/Kn87QDs/+uGjPTB9KGvqqoKucGMjo4yMjJCR0cHFosFVVUZHh4mKytrwcHS6bLcloXIeMPl7oOiKDgcjpAA1jSNiYkJXC5XKD7FZrPFiYdMoWlaaPySyPLg8/lmTdV6J48HhFi4w1moMIhF13W8Xi9er5eWlhbGx8dDloLIFGwWiwWr1Rr6b/5ZLJaQK5PP54talurFtlCREfk6stgLBIP/bty4wa5du5LuI5W4jNliM+bTd4FA8OLFtCZomhY1sZFMLExNTdHU1IQsyzQ0NJCbmzvnPpYiwHlycpILFy6QnZ1NQ0MDWVlZuOZoR1c1ZEtw4Ha0bB8AtS+v4dYfvpaqf/9B1LrXf/vlof+13/95wj6ZbjBr1qxB13XGx8e5ePFi6N6/HMHSL1bLgkkywaIoSuh3gOBg3ox3uHXrFq2treTk5ESJB5vNtqB+xI5/Ii0PpvXB/HsxiQchFu4gYoVB5H9zeTrCwDAMpqenmZiYYHx8nPHxcSYmJkLbKYrCunXrsNvtWCyWuHRlZrXFyPcejwfDMBgYGKCvry/0eSoiI9Hr+YiM2NeRmG1FPiBmExnJ4jIi158tLiM2RkPEZQgEAhPzHqOqaly2I9NVIpZbt25x+fJlampq2LBhQ1q56xfLsmAGMV9/6/tYu3Yt69evT3gvM9dbKmRZprCwEIvFwqZNm8jPz2dsbIzR0dElC5ZeLMvC2W2HAdh36fic+19ud9xUM3kpikJxcTHFxcVAdHB7d3c3LS0t5OXlhX6rdMWeaVmYjcjvKpF4iHRbMscrZo2H2/n5LcTCbcpswqCzsxNZllmzZg2QujDweDwhQWD+13WdgoICHA4Hq1evxuFwMDY2Rm9vL/X19aFtzcA4U1nn5OQk3dfw8DBbtmwJBdlFFhOaTWRMTExELUtXZMS+z6TISPadxr6eKy4jct1kIsPv92OxWLDZbCIuQyC4Q5mrdkKsJUBVVS5fvszw8DA7d+6kpKQkrf1l2rJgujWZ/Qfi+tX5e69MuT3TqpAM06qwEDIVLL3S6XrjqwBY+52fxD1/loP51liI/b0CgQAul4uxsbGQ2MvPz48Se2asZCLSKQxnMpt48Hq9oXVud/EgxMJtwFwWg0gkScLn8yHL8qwnvRmkHCkOVFUNCQMzGC4/Pz+unfHx8QXPhsQGK6ciMhK1karIiFyeSGSYF7GmaXi9Xjo7O1eUyDBfG4bBlStXcDqdVFZWJpwNzGRcxu10MxMI7hRSqZ0gSeGA5ImJCRobG0PuPfPx414MNyS3283Vq1epmPkskYCRLQq6qsV9fuaTJzISt2CifuGvsLz7U2ltk5WVRXl5eUrB0kVFRfPO3JPp+6xpVUiEKRRMVoJYyFSNBavVSmlpKaWlpUBQ7JmWh/b2drxeLwUFBSGrQ6ylKBXLwlykKh4iazyYY5Hl/h1mQ4iFFUbkiRUbZxBLMteU2Pd+vz8kDExx4PP5yM/Px+FwUFpayvr16ykoKEjpQlkpJ3SmREakkBgbG2N6ejptkZHMkhH5WaZERuQsRaJji30dG5cRu95s+03kLpWqwFgp54lAcLtgXqfmvWa22UdFUdA0je7ubq5evUptbS21tbXzvu4y7YYUCAS4evVqyMIN4UrNC6H25TVxn81lVVC/8Feh/4kEQ6r35VSCpU3hkGrw7XIHOK8UsbAYFpqsrCzKysooKysDgpOksZYiu90eEnxmTFAmSSYezPhPgA0bNvDEE0+wd+/ejO47kwixsIxkQhjEEggE8Hg8+P1+Lly4wPj4OF6vl9zcXBwOB8XFxdTW1lJQUDCrOe5OZjaRkZWVhcfjYcuWLXHbzSYyZrNkxJabTzUWYzaRkew8WAyXqUQiY664DAgGWdrt9lD/RVyGQJAcXddRVTWp21Eiuru7CQQC7N27NxQEOl8yZVnQdZ3W1lY8Hg81NTVs2rSJjgTrRbogrXvtA3T+4Gk6f3YTgOoHyrj59MC89l99cCM3T11Ne7t0B+2SlDhY2gy+vXLlSlzwbTL/+aW658VaFeDOFguxZGdnU1FRQUVFRWim3xQPvb29BAIBbDYbnZ2di+Zmlkg8TE9PJ6x9spJ4cY4Wl4HFEAaqqjI5ORllNXC73SiKQlZWFqWlpdTU1GC325cko0OqLPeNaTZme2Bk0pIRa7Fwu90JBUjkfk0R4Xa78fv9eDyetEXGbMeW6HUqxxb72jy/z507x8GDB7HZbGnHZSSzZMzlPiUQ3G5EJoZINdjU9MvOzc2loaFhQRlgTCLdmuaL2+2msbERALvdjt1uj1snmXXBFAom1Q+UhV6f/tSxBfUrkvm4I6WCGSxdWFhIbW1tKPg2UbB0UVERDocjNFjMNOtfup5rj18Dgi5JyYKch9/zJmwf/cqy3zvnG7OwECRJIicnh5ycHCorKzEMg+bmZjRNY2pqips3b6LreihGpbCwkIKCgox/V4FAAJ/PtyLqfcyGEAuLwGzCoKWlhdWrV4duoqkKA03TmJycjMpMNDU1RVZWFna7HYfDQWVlJQ6Hg+vXr2MYBrW1ycrdZOYYZ8XlRdINjOLUB9V3KgsRGaZLQqTI6O7uxmq1YhhGWiIj1SxTmRQZ5nEnOrZkr80/832qcRmzuUvN5TolECwHsUHMc52PhmFw/fp1rl+/Tl5eHhUVFRkRCrDwOgsDAwNcunSJyspK6uvrOXfu3LK52FQf3Lgs+40kWbD06Ogora2tBAKBUCbByGxXS8nU4CSFK8SysNx9MOMI8vPzWbduXWjG37Q8dHd3A0TFO+Tn5y+431NTUwAUFBQs+BgWEyEWFki6FoOxsTEqKirmrGUwNTUVFWMwOTmJxWLB4XBgt9vZsGEDDocjqU/kYt6kU7k4LMd6UY734vvE3YvWjzsdSZJCA/lIkTEwMMCqVauoqqpKuF0ykRH5fi6RkaqL1FK7S5nHF/nffB173aVqtdM0Db/fH5o1ihUak5OTUbU3BIJMkKh2wmx4vV4uXbqEx+Nh//79dHd3Z/Q+P183JF3XuXr1Kj09PWzdupWKiooFtZcOiWotxGLGK8zGUgxUEwVLj46O0tvby/T0NEePHs1IsPTUh/8krfVfTG5IcxEZ4CxJEvn5+eTn57N69WoMw2BychKXy8XIyAjXr19HluWQeCgsLJzXbzY9PQ0gLAt3EpkKPo4d0ExPT0e5EplFzsxKhrW1taGS6KkGYi03ytFbWB+9jP/PdmDUxCvm5Q7qup2Z67tLJjJSaTdTIsO0Jly9ehWbzZYxS4a5n8j/6Rxf7GvDMBgfH6ejoyMUXBabqev555/nAx/4AG1tbWntTyBIhOmWmKh2QjKGhoa4dOkSxcXF7Nq1C4vFsiRF1ObC4/HQ1NSEpmk0NDREDXjM9rT//ljcdh2/87JQobVYIt2PYjnwN/cydKkr6jPrr/874br+T78P259/NoWjCLKUz6TIYGkIphOvra3F5XIxPDw872Dp+SDEQmr9kCQp5FpnxqiY4mFoaIhr166FfjPT8pDKmM3tdpOTk5Px+h2ZRoiFJMwmDGIvrlQHL+a2IyMjjIyMhKwGhmGEXInWrFmD3W4nLy9vQRfwYt/45mpfOXoLyaeR9U9n8H7tgUXtS6ZZ7hvncrFQkREpIHw+HxMTE2RnZ6NpGtPT03HB4LEiI11rxnxFRqLXpstWIjKRTk8ggLlrJ8Si6zrt7e3cuHGDzZs3U1VVFVp/MeoipNPe0NAQFy9epKysjM2bN8ddI6ZY6P/1uVnbWfOb9ydd1vtCB5V762bdvu1f/yflPq9UZFmOGohqmsbExASjo6NpB0snYra4hZUgFlZCHyC9e70sy6EJ3bVr14Z+M5fLRV9fH21tbdhstqjfLJHgm5qaWvB4bykQYoG5hQEkDsCcq02v1xtX/dgMYisuLqaqqootW7aQl5eXUVW92CfdXO1LIx7ky6MAWL57FfndO9HvKl7UPr3YWEk3lsjBvkkgEODKlSusWbMm6SA8kciIfb0UImOuB5UQC4JMoOs6fr8/ZWuC2+2mqakJXdc5dOhQXLaU5RILuq5z7do1uru72bJlS1J3yPlYKpaLez1XofEqgSNvWfJ9J/qOFEUJDTAhmMzE5XKx6idfBODZdfdRUFAQsjqYwdIAgWlvWvtfCfECt4NlYS5ifzNN0xgbG2NsbCwk+LKzs6PEg81mY3p6etFdkG7dusVf//Vf88tf/hK328369et59NFH00rV+qITC+aFGVnczO12Mzo6Snl5OZC+MIBg8FJkgbPx8XECgQD5+fnY7XbKysrYuHEjzc3NrF+/PpT3d7FYzpu0cqwXaWb3km6Q9eFTeL4fzoO93Dem253b5QEMs//WiURGKmRaZJj5rtvb2+NERnd3N4ODg6GsJeLcFaSL6Xbk9/uB1FKi9vf309zcTGVlJZs2bUooVmVZDrWZCVIZ3Hu9Xi5evIjP5+PgwYOzBmXO1Z6uaiFXpGf+4Ntz9u/A39wLgHNtKWNdg1HL6l59mI4fH6fu1Yfx9Q/N2dZKY67zwWKxsOrHX4CZgezhw4fjgqXNrD2ONPe9Eu5rK0ksZGpiSFEUiouLKS4OTpSa2bHMYOmWlhY+9alPhVzMR0dHQ+tmEpfLxeHDh3nJS17CL3/5S0pKSmhvb0871fIdLRYSCYNYiwEEA0yuXbsWqog7F4FAIK76sdfrJS8vL6qWgZljPpKluCiX+8JXjvZGvbc80Y1yohetoXKZeiRYahY7wD6TImN0dBS/3x+KH4pc9ra3vY0bN25gGAbZ2dkUFRWxYcMGfv3rXy/S0QnuJMzaCY2NjeTn589ZNE3TNK5cuUJfXx9bt24NTWAlYqktCyMjIzQ1NVFcXMzu3bvnrNOTivhY+7oHMQJq1Gd1rzxIx09Ppd7xBWJ9Zm6hstKw/dfHKH/rR+KCpV0ulxALC2AxirKZxGbH8vv99Pb28n//93/09PRQWlrK9u3bOXLkCP/8z/+csX588pOfZPXq1Tz66KOhz9atW5d+/zPSmxVAqsIgUcrEyGJRsaiqGudKZAakOBwOnE5nWrUMbifT7GzEHYNXg6zg96gcvRW3vu0jZ/C/5x7kgQB1Z6HgiUH4f/mQvfw3iNuR5b65z0Ws+95KYDaR4fF42LgxPt3ipUuX+O53v8tXv/pVHnvsMUZGRkJVN+fDhz/8YT7ykY9EfbZp0yauXLkCBGdu//zP/5zHHnsMn8/HI488wpe//OVFt0QKMkts7QRzID7b9TA1NUVTUxOyLNPQ0BAKfk3GYgQ4J2ovMl1rfX091dXVKV3XsiyT/algJqLat/wm17/9f6FllQc3p9yvrFULKzaXKoGq9QS6mrCu3bEk+zOZ73hA/eJfc/Un59jy5FOhYOnq6mpcSda/fPkyic6olSAWVkIfYGlFi81m4/d+7/dQVRW/3893vvMdnnvuOVpbWzPah5/85Cc88sgj/PZv/zbPP/88VVVV/Nmf/Rl//Md/nFY7t6VYWIgwSEQoa8NMLYNIYWDWMjADWaqqqnA4HPPObb0UYmGx9xH3XfoNsv94AP+f5mNssiJfGY3fZkwm93eCA6KNSPj2+OALo/j/atWi9fNO5XYSmyvhATAXcz2odF0nKyuL9evXs379+gXv76677uKpp54KvY+coX3f+97Hz3/+c77//e/jcDh45zvfyWte8xqOH08cnChYeURmFYNw/vZkA3vDMLh16xatra3U1NSwYcOGlAYLi2FZiE3g4ff7uXjxIm63mwMHDiQsspaMwn/9+4z069gH4wu4LRZW39SS7SuS+dwnr/4kGDh++eEHAdjy5FMJ1zMLtOV+9G/iluWXFuBT1WW/T68ky8JSx6eZMQtlZWW84Q1vyHj7169f5ytf+Qrvf//7+eAHP8jZs2d597vfjc1m4y1vST1GZ8WLhUwLAxMz7dXExASDg4P4fD6eeuqpUC0Dh8NBeXk5drt90VKWLSZLOaCUn/UgX4fcV17F/9a8ULxCVH8Ko42jhlUh67PDBN7swKhYOdWlBZnhdhI0c6Fp2pwuF+lgsVgSupeMj4/zzW9+k//5n//hyJEjADz66KNs3ryZU6dOcfDgwYz1QbA4RNZOMGt2QHAgbmZAikRVVVpaWhgZGWHXrl0hF4VUWAyxAGHx7HK5aGpqwuFwcOjQobTd/jKJGa+QiLpXH17CnmSeVO6Vxr99aM519K/9LfKf/GPofWQV59loa2tDURQ6OjrigqWXipUiFpajH263Oy55QSbRdZ29e/fysY8FUxjv2rWL5uZmvvrVr96+YmE2YRC5PF1hYBhGqMiZ6VI0OTkZSleWnZ2NoigcPnyY7OzsRVXZS2VZWGwij0H+6TRyqwa5CtYfeDFkCUmPOUYpBwiEt/HISNMaWX8/hPfrIpYhXZZ7JmguVqIbUjLmsiyoqprRh2d7ezuVlZVkZ2dz6NAhPv7xj1NTU8O5c+cIBAI8+OCDoXXr6+upqanh5MmTQiysYOaqnaAoSsjSYDI+Pk5TUxM5OTkcPnyYrKystPa5GG5IEHz+dnd3097ezsaNG1mzZk1K1/H4P/wJjr/7WtLlsa5IqTKbUIjEFA25970E9/PPpr2f5ST2+zX+7UNIf/zRtNq48oNT1PSlV5ANYPv/fZNrb3wXPp8vLli6qKgoVKxyMTFd9ZYTc8y5XJaFxaKiooItW7ZEfbZ582Z+8IPZixnGsmxiIVIAmKIgUhicOXOG+vp67HZ7XGzBXO263e4oV6KJiQmAqDzGDocjVG1vfHyc4eHhtHLLL4TbfdY16sZhGCg/dyOpoG5yYDk7grZjHUrT9ehtJhSixMJA8DuwfHcc+W2F6HuX5rufi9vht7kd+gi3h1CA1MRCpiwLBw4c4Fvf+habNm2ir6+Pj3zkI9xzzz00NzfT39+PzWbD6XRGbVNWVkZ/f39G9i/IPKnUToi0LBiGERqM19bWzhn0nIzZXJvmg/l8bWxsZGpqiv3798edi8nwfuEv5rVPb9cNsqoWNll08+lzVD+wJ+Ey/6ffR96mDXiud0V9rn7hr7C8+1ML2m+mSPl+Po/B9PqXht0mh5pHKNmaONtOTk4OW7ZsCY2fXC4XLpeLGzduAOB0OkNpWudbWXo2lmOQnqgPkNo4M5NMTU0tqmXh8OHDcQVFr169ypo1a9JqZ9nEgqZpoVSGsRYDCAYcwuw/nFnLIDYzkaZpoSJnqdQyWMqg46UaQC3Z8ZzxIfXPmNeVoLuWkVMGxIiFm2GhEMgBa3/wwpQMyP6bAdxPrV2K7gqWiNtF0EBqMQuZepD9xm/8Ruj19u3bOXDgAGvWrOF73/vekk1WCDJHqrUTzIG93+/n0qVLTE5Osnfv3rTTF0aSacvC1FTQX1/XdRoaGtKKy/ONTSZdVvnqh1NqY9c7dyf8/OaJK1Q31Kfcl9sd45uZifVIRN1v3UPHj47GfR6ZLj4vL4+8vDyqq6sxDIPJyUlGR0ejqhSbwqGoqChti1giVoIb0nKJhenp6bTcD9Plfe97Hw0NDXzsYx/j9a9/PWfOnOHrX/86X//619NqZ1ndkGLrGcQuix1wJCtylp+fj8PhCNUyKCgoSOsHX2qxcCe5Ick/nQ59Jl/VMSRQmnWMLAuSL2h210vtyINhf11PmQVrV7gt5YwHy/fGUV+fbtK3Fy+3w6z97dBHWHo3pEicTicbN27k2rVrPPTQQ/j9fsbGxqJmdAcGBmZNoSlYeky3o8hsR7OdQ7Is4/V6OXHiBHa7Pe3BeLI2MyEWDMOgp6cnNPu4bdu2efct1hWp8ndfC+6wkKh9y29y64dPMNLSSfFd6advvBOJu//M/KbzcUWaL8nOXUmSQh4ZZpXi8fFxXC5XKCg/Nzc3JB6cTue8YltWglgwLX9LbeFwu92L6oa0b98+fvSjH/GBD3yAf/iHf2DdunV87nOf401velNa7SybWEgl3sAsOmKKA5/PF6plUFJSQl1dXcJaBvPpy+00E5oKS5UNKUosjBpomwtQWidR963HcjaY/cioXAURNXTU/AQFhr7hwfhtB7fJ+HJZuR3O1duhjyapVHDOZIBzJFNTU3R0dPDmN7+ZPXv2YLVaefrpp3nta18LBIMPb9y4waFDhxZl/4L0ScXtKHb94eFhxsfH2bx5MzU1NRkR0pkQC6qq0tzcjMvlYs+ePZw9e3ZFXLvzrbWgbNo65zo5m4NWigArr8aC8c2/D7obpfi7bvvTl3Ppqz+fdZ3S33o51x7//KzrpHo+KopCUVERRUVFQLDmlFlorKOjA7fbjd1uD1UoTjVYeiXELJipjZd6kmt6enrW4oaZ4BWveAWveMUrFtTGighwVlU1rvqx1+ulu7s7dNKtXbsWu92e9KEtnb+EfPwMRk0VesM+KMl8JbxMcKdYFgD0Dh2uBaI+M4rygUkkoyj8WX7shRB/8/AqxRgnFJTD8RlDlprbYUZ8pfdxpeTNTpWlsiz8xV/8Ba985StZs2YNvb29/P3f/z2KovDGN74Rh8PBW9/6Vt7//vdTVFSE3W7nXe96F4cOHRLBzSsE05owl9uRiVnxeHp6mvz8/LT9hGdjoWJhcnKSCxcukJOTQ0NDA1lZWUlrLaTDbIHOt374ROh1pHUhmQtSMhJVcU4VtaoWy63rc6+4hMya2v0/PspCRwx73/sgL3wumFo1kSvSfO/VVquVkpISSkpKAPD5fKHicOkES89Vg2QpWK64icUOcM4UyyYWXC4XnZ2djI+PMz09TXZ2Ng6HA7vdTnV1NZcvX2bz5s2hk3AujI21KK/5Q6T+IbTfeAj1W58FR2pBI3eaGxIszcyu9rgV/85iss+NhD6TBmZSBV5UMew5SBMeULMAX2gdy3T8BRmYzIPvSitCLAgyw3Lf/FNlrgdVJi0LN2/e5I1vfCMjIyOUlJRw9913c+rUqdB97rOf/SyyLPPa1742qiibYHmJrZ2QilAYGhri0qVLrFq1itWrV9PR0ZHRPi1ELNy8eZPW1lbWrl3L+vXro5KILLVlwXerd0n3Nydtx2HT0qVjTfh9R1gXdJ9/0fZd8YoH6PvZ0xm7V2dlZVFRUUFFRUVUsPTo6GgoWNqcAI4Mll4pbkjL0YelsCxkgmW1LOTk5FBeXo7D4YgLkkn7R8vPQ/3Q+7G+4wPITz6D5d3/gvrND4FlbqV4p7khLVXMgvaEjKE4ySYsFpRrGnp5NnK/F3XPeiwnLyGNRG+bMxj9m+hWGa3dBjfA+Bcf0sJcee94bodz9XboYyRLJRYee+yxWZdnZ2fzpS99iS996UsZ2Z9g4Zi1E8yB+VyuCrquc/XqVXp6etiyZQtVVVWMjIxkNBgZ5icWNE3j8uXLDA4OJqzrkKk4iPF/iE/hGWlViMRSkA/9IwmXzRf3oIvc0vjgceuDL8vofjKFJElpBTZrnsRV5G+c6KBiR9W89p9pUgmWtlqtFBYW4vV6E9YhWUqWQ7AYhsH09PSc1dpXAssmFgoLC2dVU/MZwOu//3r0L38LuaUNqecqlnd9DvUrfz7ndneiZWExkSQJyS+jH5XQDRua3YIyEc4hrtfakfu9SNN2DFlCvhGeGdHLsrAORF+Qvo2F0CKBB7QnLFheGZ2PXBDP7TBrfzv0EeYWNosZ4CxYuZhpvdNxO3K73TQ1NaHrOocOHQqlRExWlG0hpDuwn5qaorGxEavVGqopFMud8HxKlcWIV1AuPgmAtj21DFAwv4mVrMpytv3py6M+u+vNL6HlP5PXl9j73geTLluKe/VswdI+n4/29nZu3boVCpYuLCxctFixRCxH9Wa4fSwLy18yLwnzumkpCurHPxDc/swZ5F+dRHryXEr7gqWZDb1T3JAKmpzgkcAr4dsWPTsleYLZEORmP9r2tUi+cF+MyngF7XeGZ4C0766IMBrBArmdBhzLGeAsWJmYQcx+vz+lbEcA/f39nDhxAofDwcGDB6Nyp2e6JgKExUIq11pvby8nT56kpKSEffv2JRQKkW1mgvyq1NJBTrR3Z2R/JsPf/yEQtC6kSqBq/dwrzYEpFOZDpgbrd735JSmvu+EPX53x/aeDGSxdV1dHbm4uW7Zsoa6uDsMw6Ojo4OjRo7zwwgt0dHQwOjq66JaH5XKFEjELC2S+g2rj4fvRH7wH+amj6DU2lMeeQ304ccGWuG1vs6DMZCzFMdjPhgPIfa48IiWA3KphZEtIXgO9rA51vYGRl4ORnYNabCP7wi1kwn0MTIYvFO0JC8YYSM5FP4SE3A6D3Nulj7fLtZSKWBCWhRcPpjXB9GGe6zzWNI0rV67Q39/Ptm3bKCsri1tnsSwLMPv5G9m3HTt2UFpaOmub8wlw9n7hL8hyFsxaayEWx9rlSwWsH38aP2Bbuw6SXNc3b96kqKiInJyc+RXMu/hkWtaFZBj/9qEFt5EKmbpXn97cwIHWE2lvp+s6VquV4uLiUPyW1+sNFYe7fPkyqqricDhClodMV5Zervu82+1e1KJsmeKOEwsA6sc/iPWZlyOdPQtDVgioYE1+qEs5qFmqbEiLtQ9N05iamsJ+NuwXabTamC6RyRuaCcjyG7TurmXt5TKsT9gwH5GBfJVJSWZgo42q3h5sUxq6VUK9ag1LB5+E9n9WLG+JzrIkiOZ2GIgvdx+lIR2jJLWq70tVwVmwcjGtCTdu3KC8vByLxTLnOWy69lgsFhoaGpIW1jMtC5kU0aZYSDYj6na7aWxsRJIkDh06lJJf9FIHOKvTniXbVzISWRUiferNVKFFRUVJawgsxKqw0O87lfSpc5Hpe3W6oiHROZydnZ00WLq7O2iNMt2VFiLsZuvDYuP3+wkEAreFG9KKfQIuZMBrbNuM/ubXoXz7e+iFfuR/O4b+Z/fPui+4PWZslxqfzxfKo+xyuZiYmCB3OJ89NzeF1pEMCWNjBQzdAmBsXynK6RJGDvgpfcFA1oLf7+QmP/K5fHInSxksK6DA2Y5mkZC6oi/Qka+76d58AavVis1mw2q1zvp6uQelgniW/VryGSin/aivSOxuEYmwLAhMoRAIBGhpaaGkpGTW4lKGYYSKUq1Zs4b169fPOtAwz59Mpmc020nkJjcwMMClS5eorKykvr4+5UHQQtyQCh58iMmnfhV8vXkjk61X59VOpgnUbYXrXQmXjWy+j+KeCwQc0RaXXbt2oWkaY2NjocFpS0sLj+S6uFKyk6KiIhwOR8YGl3M9wyY6gxmj7HXVGdlf3W/dk9b+U+H05oa4/6kKhrnqLMQGS+u6ztTUVMJgadPykG5l6eVInWpWTReWhVmY6+RcaL5n9VMfAsOO/P2TyJe/hvG/TxD4wQehMF7BiZiF8DbT09MhYTA2NhYykTmdTmpqaigsLMSToEp44EbwZNcB12AwBsF92kb/bo2yVgOKDORLYXcj60AO3pxtcJ8buqLbym8upDZrPf4Sb0h5ezweJiYmQu8jiyJZLJakQiKRyLjdB37LPhBPgeV2Q7J+y4N2d+qVROeyLCSbMRbc/kTWTlAUZc5nj6qqtLS0MDIykjCjUCIirQCZuv+Y52xkX81MTDdv3mTr1q1pV/5O9/nk/cJfJF1WsHljWvuejZsnrlDdUE/epvWMvXAxfvnT56h+IN7d2D3oIvfaRdJJmWHtbiWw6TCKolBcXExxcdDl1ufzwYWfUT/UCEPwK29xaGZ7IbWoDcNgw9H/XkAL6cUqJGKx79XGv32I3pOXqfr3HyRcnm6dBVmWkwZL9/T0cPnyZfLy8qLStM5lHV6O1KnT09NIkiSyIS2EBZ+8jgLUr/8t/Ksf676/RT5xGeXzP0H7cHyJ6ztNLKT63UVeYGNjY4yNjaFpWqiIyubNm+PKt+sBaPyuxJYsFZsv4vTpUfBusePJtRJ4Ify597xCX71GXiFIt6L7pdrg6vVsNssGkh5eJhkSjqfLsb5/9vzS5kPeDEQ0X5vv3W533DII3miSWSo8Hk+oKmWk4Fhp1ouV1p8Vhc/A+m0PgbelNsCfa1ZLBDjfmUTWTogMYlYUJWl8wfj4OE1NTeTk5HD48OGUZy8jrQCzWSzSwUzhaooFj8dDU1MTmqZx6NCheQVNZjLAGcAY7EOa56xpqlWc17zqXrp/8uvQ++wiOwDe0QkAho+9AEB+VbT1wN/VSUHXN2FHfEE465PfIPDwH0V9Fvtb7927N1SAbF3M7VhXrEz2dlJQmVxGWH/2ZQKv+LPg6x17CDRFJ2Ox7djN8I9/lnT7dLBtvgt/a0vS5Y4v/B18PixYpP/+GLLVivb6v8zI/ntPXp51+UJdgCIrS9fV1YWe4aOjo3R0dODxeCgoKAhZHhJZhZbDDclMm7rcNSZSYcU+ATNRSRKALBvaW98A3/gZypd+hvaOV0KJPeGqt8OMbaokOhafzxdlNZiYmMBms+F0OikuLmb9+vUUFBTMeuLeelRm+oKVq9tH2XqxKGqZz1HIqCu+SIK3T+bCpMH2zRqO1vCsWv9WjenjFsb3qTjPRp+Ko08prHoXKLM8VxVFQVGUpJk9YjEHB5HiIfL19PQ0U1NT+Hw+WlpaonKrz2apSPT6drdeLJTltCxYH/Wgr1Ugxf2n4oZ0O9zMBamj6zqqqoZEQWQgs6IooeJrJoZh0N3dTXt7O3V1daxbty6t8zt2YJ8pzFiIoaEhLl68SFlZGZs3b573/We+YsG2N1hhPNIVaTmYevqppMuS1VjwN51Huvelc7ZtXD3BRNVW7LeaAShsfoL8g6+lpqYGEsQs2F1dXJ1WKSoqwul0zvqbxAqF2dA8XizxJSTmTcUrHgBHIbFRgnpg6eIG55qwSZfYytKRwdItLS0Jg6WXw910amqKvLy822Lyb0WLhUyhv24zls+dwdiZg/K5/0P7pzcv2r7mYikDnCcnJ0PCwOVyhdS10+lkzZo1OJ3OtIKCNDdc/3jwlBm/aidQamAdDG874svCMyYTe7lNbtZwn7JwetBgc4PK6hMWPJUB+mcEQv+0hDNmmzYd+r5sZed7MnfDkiQpNJhPRn9/P7du3WLPnqBJ27ReJLJcBAIB3G533DIIPsSTCYxEIiOVYEqT20XULssN0Gtg+8w0/nenbtZNpc6CsCzcGUTWTjBFYux5GmtZ8Pv9XLp0icnJSfbu3Uth4fxGarNZLOaLJEl0dXXR398fKgC30PYW4/6SrCDbQnCuLWWsazDp8lUNexg+kfogfC68OcVxn1lP/YDAwdcm3UZVVa5cuUIgEAgNTouKikI+6taffRljY3z9A9u2nQnbs65ahdZzc34HkCLK9/6ZZHLxaNk+AO4ZOJux/ZnX5GI+LxIFS5tWITNY2mKxkJOTg9vtXnCwdKrcLmlTYYWLhYzNwlTlYmRZkI9awdKP1jsKleFZ8TvBDUlVVcbHxxkbG6Ovr4/p6WlOnToVcimqqKiIcylKlxtfVPD3zVxAXgs9e3RqI8TCVa+EVGqwut9AikiNOuqb+X4DEpdPWOjZPEZxbjZGb7Avk5cVpjdr5M1YHQwMuq7JBD6ZxfrXqeRXLe3gOPImMR/rRSKrhfl6eno6bpl5o0w19iLV3OrLyXL1z/rvHuR+He3u1MuAizoLLw7Ma9McsCerxBxZE2F0dJSmpiacTieHDx9e0P0z0y4+ZtXbkZERDh48mJGMKpnuYzJyVlfg6emL+9y+fnVK2+uqhmwJT0utedW9aNPTC+6Xtbs17W28Pa0kG+5t3rwZwzDweDyMjo4yOjpKV1cXD06GXYJUVU3ohpSIkdON5FWmVr8iEerkVLBi9gxTjRfJ37kdxoM1KZTv/TMAvsFgRW3zLio/9kn03/nr0HaZFA3ms2KprLeRwdKrV69G13UmJydpa2vD4/Fw+vRpbDbbgoKlU8UUC8KysAAy/eUZDZswXM3Iz4L87+fR/zas5m/HbEimWc20GkxOToZOcNOV6ODBgxm9ANuekKKsBv2nJMrrdHI7ZIZ3aow1Bpc6D6vYjwdPLc1uMNoS3Yfxdju9O/2sifhsIN+gdub1yGYd94xwOPHBLB7+duLS9isRSZKw2WzYbLaUZgzMWZVkrlE+n4+pqamoZaqqcvHixSjrRTJhEfl5OtaLTLDkN8CnwfqZaQyHhL499VubSJ1655NO7QRFUQgEAly7do3Ozk42bdrE6tWrF3w+Z9KyMDIyQlNTE5IksWXLloylXkxnki5ZcHNsYLOvZguQ3LJgK8jFP+lOuY+6qkX9H794Bcf2ejw3+xOuv+ruvaG4hWQYv348oSuS9clvAOBfuwUSWBZSwQxgzc3NDWXy4RdhsdDf38/2xJ7Ri8pUY3SguOcT7yK/tibqM+m/P4Y0i2vO5N+9jYJ/CGc82fOOezj3paOh97EZkW79YdAKExnoLD36EV4C0Pk8vPUj8zmUBSHLMg6Hg9zcXAoKCqiurmZ8fJzR0dF5B0unirAsZIBMz8Dr91ciNXYjjfuxfPU6/v9vEmoKQvuClWtZMF2KIlOYer3eUMDO2rVrKSwsJDs7G0mSuHXrFl6vN6NCYbgbTo1KHI7slyZxw2lQD1yLGM93n1OoX6th7VJwb9bQT0efZmqlm+sv5FMYISpGzitUV+rYemVuFIe/n+s/stLzlgCrjyxu9cblwgyozMnJSTnjzokTJ6irqyMvLy9p7IXL5YpaZg6I03GNslqt8z6HljpmQb8JltfbMAJO1IemQE5933P1dTlS6gkyg2EYaJqGqqqhAMZUzsuOjg4kSeLAgQPY7ZkZyWWiMJthGFy/fp3r169TX19PV1dXRq+zjNRZqFoDt8JVmW2Xz0QtLr9nV1rNFW8oZ6Q9sRCwVycewOfXb0j4udx8FtlhRx2fmHO/plDINLH31IqKCphuj19xdGhR9j8bU9dvxAkGE/mxT8Z91vi1C9zzD4vdq6XBvM9HBksDBAKB0LgrMljatDosJIWuGbNwO/DiEQuHy7B8YMb8POxG/o9r6H8bvmktVUrTVPajqmooO5FpPQBwOp04nU6qqqpwOp1J1e1iDNK6zsncaJXZtlfD/kJ44DRyTubGwxrjT4Y/070SPVmwzmIwqsb3xWsP+vVfOK3QsE3FeskCmsTgOo3qXpmu69EX3rG/yOb1p6ZRUvcsuaMxrRep5mY2B0zJ3KNM60Xk52aAp2m9SCWo20xLu1TXUvj4YOrNWZQGwCAfbX16538qlgUhFm4/Yt2OUhEKQ0NDjI+PY7fb2bdvX0YtSpHuTfPB7/dz8eJF3G53SMT09PRk1G1oqdyQ0qXulQfxjYwBkLPKCYBnOPjesb0+6XarGuLTqQJI9zyMcTQYlGzZcxD13NxZlxaL2lwNEnhQDf/69LzaK9q+kdGLmatxYWjarNaF+XDrD1+bNI3qcpEskYXVaqW0tDRU/dz06hgdHaW3txdVVXE6nSG3pfz8/JTHYNPT07dFjQV4EYkFavMhuwB9k4zcNop8chi9ywVrw8Fqy+WG5PF4ooTBxMQE2dnZFBYWUlpayqZNm8jPz1/WjCyd54In/4VxiXuJjkm4NCKRu1vDfz58Q5lsUxi9V2X4TPxNZnrmWaSrEhf6ZPaW6siDMoMXFbJ3qEw1RZ+W49dkGj9vY89fzp5K9cVCuuepGQ9hBnClgum2kSw17eTkZNyySOuFLMsEAgGam5vnFBkLOa+1mxITf5qFfEECdCjwE/hEerc1EbNw52G69qVqTTDrE/T09GC32yktLc34b74Qy4LL5aKxsRGn08mhQ4dCsROZHtyn+tw111HufRjFPfcs/UJw1q+ddbnrfAvWvNljylbdvRejOQX/evvMeGDClWLvZmeu9KkA+Zd+jVFenXLcQqYJxS0sgPEPvpU974gu9Lbn7Xdz7ivHAKh5xd3c+NmxBe1jsUk1depswdKmpS8y3mG2YGm32y0sCwsl42nmJAm9tgqsOrSdQW4bRPlOH9oHCkP7Wyq8Xi/d3d0hceDz+UJZitatWxdyKVoImRY+nS8EL6LedpnRPX6KzwWn+eXtOn3nZJAM1h5WUU8oSIYEBQbHpyQqynXoihYMU6PhYKHpYZmrWzTW52lMFxu0FBvQFL//M08reOssHH5NOuV10ud2iltZTGRZJisrK+XALtN6YQqHoaEhBgcHKSgoIBAI4PV64wRGZFG9dFyjTOuF9zELk3+ZjTRukI0OGAS+qIKU/iyYqOB8ZxBpRYusnTAbbrebxsZGABoaGujs7Mx41iKYn2XBMAy6urq4du0aGzZsYM2aNVHHk2mxkEp7gUCAixcvcleabTtrKxi7Hh/UnA6+Gz2J+zTtnVMwSDk5GB4P2vaDccssew4iuyJcneyFKQuGPFfiPs2XZJmQAFa9/GE8F87Hfa65PSi5qReOHLv7ddi6Px96P3HuwqzrB0bHsBY5Adj19t1c+Ep8H5Jh/NuHoLgooWCwnvkRK2UKcD73+WTB0i6Xi4GBAa5evYrNZgsJh9hg6ampqSWzLHziE5/gAx/4AO95z3v43Oc+l/b2K7qCc6bRH6hG+Wof2t07UY41Ih2fBo8KOZZFzVIUaTUYHR0Fgjdcp9PJ6tWrcTgcGZ3FynhwuAHdF8JtXhiWOSLpyIbMiHltGRJdxy2U7dLInoJLusTgeQVjl0ZlV0TfCgzcA9E3tf5rMsP7NVzHLDirdFZJBhjRxzBqwGfemo3f6+Ulv7u4guF2YKVlT4i0XkCwpsfY2Bhr1qxJuk2k9SJRgLfX642zaBiGAZqM5Tt3Uf+/wZB4DYM8dHwbx+nZN4JtMD4t7WwzRqm4IWWqkJZg8ZitdkIy+vr6aGlpoaqqik2bNiHL8qKkODX7k067gUCAS5cuMTExwb59+3A6nQtucy7mmqSbmJigsbFxztlQqcCOMRm2ODhrK+bcd6JMSHWvDA/ss4qdaG7PnO0ki1eI62OEKxLAsT/4NAA5JTbWfvdbFF9KXrNhIVh/9uVFaTcRpb/18gW3oY5PzrlOZIamyCDnPW+/e/YNJ8ewrV2Lv6trIV3MCJkoymYGSzscjqjK0rHB0jk5ObS2tjI5OYnD4cjQESTn7NmzfO1rX2P79vlbkF48lgVAf3s5lo+8AKMPodf1IHk1pO/2Y/x+dUbEgpkiLVIcTE5OkpOTg9PppKysjKysLCwWC1u2bMnQUcWTiWMZGYDisuDr/qsSnonwQ3eo20L3llHqNCf9FyIuLsVgJNdgKg8GjwVVROcFhYqdGtJMpiR5nQ4Xo9V7dq3OCxcVNhTqjN2Sqdmj4j4XfWre7JXRNYl/fXs2Ab+Ph39/6QrGrDRuB+tHKn2cj/XCPajR+JY8HN5g+xIGASSsskbzp3pwj3iiBEes9SKR5cLj8TA1NcXExERUUT1zoCksCyufSGtCspSoseu3trYyMDDAtm3bKCsrCy2zWCz4fL6M9zEdy8L4+DiNjY3k5+fT0NCAzZY4YGsxLAvJxMetW7e4fPky69ato66uDt/x72Rsv0UPvQS181rCZZaNW1Cvzl4BGKDg4H4mT52Zc7258AwtfK57onAtdlcXdlcXxhxuSABS/02M8uoF7zcTTF2/gZIVPN+kHQfg10HRNHHlesL1j5bt49CHjiRtz1IcTlM/lzuS8c2/R4rIiGT9dbCqdODeN6V+APNkMe7zyYKlL1y4wIc//GH6+vqorKwkPz+fBx98kIMHDya91ufL1NQUb3rTm/i3f/s3/vEf/3He7axosZBxHBYos4NLwuABpJGTKD8sQJ2nWIg0OZkCwe/3Y7fbcTqd1NXV4XQ6o1yKPB7PosxaZRJVhX/+awuf+FZwBr/zhfjfonkoB8cWA82q47EbTMoGss+g77gV2WJQWq4z1R8UElfHJTYpBmgSfnv8d6wXGbivSCgNGpyQcQUkIoePcrFOf3ewLcOQ+Op7svB64BV/EuDFWlh3pVkWYlmMbEhTbQovvCEfd6fMmsOmdUknF9Df4mXDkY1x25iZcEzxEGupGB8fx+fzMTw8zNDQUKionizLtLW18dWvfhWARx99lCtXrrBq1SoefvhhDhw4kNFjEywMTdNSFgqTk5M0NTVhtVppaGiIi+PJ9Gx9Ou0ahsGNGze4evVqSpWiF0MsmNeAia7rXLlyhb6+Pnbu3Bmqiqvc+3BabWdXlVNeVZ50uWXd+qSCIRFmoHPOju2MPv3rtPqyXKRrVVh174F5BzonwlA1Aq7xlNf3/uoXIeEAQRekTHHrD1/L2je9ghvf/QXlBxZv8tTE+vx/ARC47/cSLs+EZWHOPswESz/yyCO0trbyxje+kezsbDo6Ovj617/Oq171Kr7+9a/P3VAavOMd7+DlL385Dz744J0rFhYjK4P2UDXKf7qROorR716NdMUPx4MXz1xiIRAIRFkNxsfHkSQpFAm/GC5F82Uhs89NpySOPSlz4gmJhkeMUHBzJJND2XzhLHjdwWX2VTr5FTolBAOXneu1kFgY7pRZ16BiO2Fhyhvf1tTM87PxtMKedRo9FxW21ml4O4IqX1unw0j4IjYMiSd/bOGLX7Txmv8vwGvfEqCkfOXPtr/YyKRYGD4pc+63c1FnLFy2CQkDAw8yJQUBAp9LfM2ZqfBms15cuHCBsrIyKisrMQwjJC5Wr15NQUEB3/72t6msrMRisdDe3s7WrVszdlyJ/Ei9Xi9//ud/zmOPPYbP5+ORRx7hy1/+ctTstyAaSZLmfNAbhsHNmze5cuUKa9eupa6uLuE2i+WGNFe7qqrS3NyMy+Viz549odnI2ViMAOfI9rxeLxcuXMAwDI4ofUglD8y7baW4BG0knA40WWG2pcSyJ+jmdOJN/5RwuWd9cHCsqPG1fpprfpOtN/4P2T2Jnhtf58IyESxslsgG3r/vtyg/+6OU+lh8YCcjpxtD73N27UYf6E1p22Tk/fSb6DMiQPOFLSn5j7wMw2LB+9TjKbWz5137OPevmavmnAzrr/87Y9YF6/P/lVAwLEeKbJ/Px0tf+lLe+c53YhgG0xkoLBjJY489xvnz5zl7duG/0Yqdl12smVPt3dVAMHBJOrYNoy4b5VFX3P7MKPdbt27R0tLCsWPHePrpp2ltbcXr9VJeXs7Bgwd54IEH2Lt3L3V1dRQXF88pFJYireRCv7ujj8uMj0r84jvB06PrXPxpYinyhYQCQGGZTvMlC3kHgjO+N5oVLDnh42y+rIDdYPhGfN/6+oLt65rExIz7nr80vO1EgnFeQIK+Hpkv/VMWD2/J4x//PIu+myt7tj1T3CluSKmi63D5K7aQUEAyoFNGwUAF5I/4YQE/faQVxMzmlJeXR11dHb/7u7+LYRi88pWv5NOf/jT/8R//wW/91m8t/KBI7kf6vve9j5/+9Kd8//vf5/nnn6e3t5fXvOY1GdnnncpcQiEQCNDU1MS1a9fYvXs3GzZsSLqNxWJZNMtCsoH95OQkJ06cwPEvH6L2259LSSjM1eZ8+2heuyMjI5w4cYKCgoKQJc147r8ytq900dwedP/s8WpzxSskCm5Oxsi2cOFWzRL2Dpio2spEVfyEQWvJSwAYWxXdB09PGzC3VUHqvxkV3Lzq3pnvfE1qMRhzYducOCQ95zdeSf4jLyP/kZeFPpPnGDRHWhj2vGtf3PLYzEjJuPHdX8R9Znzz74GwC9JSYCZGWOqMk5GpUyVJymiwc09PD+95z3v47//+7wUnzIEVLhYWZVC0LRfDGVRvEjLqcDXyU1Mo7mDwVmdnJxcuXOC5557j6NGj3LhxA0VRWL9+PS95yUu499572b59OzU1NRQUFMxrYL7SB3tHnwieFn23ZF54VuJGU/wxyoXRPr3ZM3WLTnTIWOwG7jGJ8l3hB65nTGJsp8bUYPQpp9gNBnvC7bc1Kjh3aVy/oGBxBh+CfcPx+x+fCn+mqhJXW2VecTCP7//HiyMQ9cXkhnT2OxYCt8LnTWGNDlMSHsBbYJD9RwuPNVrqAOdIP9LCwnD65vHxcb75zW/ymc98hiNHjrBnzx4effRRTpw4walTy5cL/nZmfHycEydOoKoqDQ0NFBfPXol3KS0LprXj1KlTrP76PwOgq6kP/hcrZuH69eucP3+eDRs2sHXrVuSj6ccnSAXBh4L7WmJf90imTi3c1WY5XZFMoZAO/fsyM+mQDnogeayf7+izS9aPtb8d7cLWfzpxTMr02dkrbyfC+nj6bjyhVMBLbFlYzNSp586dY3BwkN27d4eSjzz//PN84QtfmNeEyItPLADGLgkItm25bGWgNIf6L+Zx5coVRkdHsdvt7NixgwcffJBDhw5RX19PeXl5yoGYs7EUg7yFfHcDt+DqpeBpMdAHj37MQiCB65CWEzPDM3MmjQ7LBLYGT8KRvujTq8kAdkSfoFnrdIyYzEddYxJaACxbdaQ8g55r8adpX2/0Nj6fxNSExN++M5u3vS6Hgb75f8+L+hvpBtl/9Cy2zzUhX8lMLu87GdUPv/x4FkQIxuJygyEMAshkvWnhmbFSqeCcadfCSD/SSM6dO0cgEIj6vL6+npqaGk6ePJnRPtzpGIZBZ2cnZ86coaamhj179qR0D19MsRA5sFdVlUuXLnH16lV27UqvqnGyNheKruuMj49z48YN9u/fz+rV8RmK4ra51jrnOnnbt2Wie0kpeuDepMsC9XtDry3tCfJyJ6D1yO+mtF4iC0MsPmtuyLqwEFa9PL0YEQBjZJDA1Stxn0eKBmVqLKFQSMe6MCu1m6Pe1rxijgxJgPvmworKmfEJJpazP551/cgMakuF6Xa0WKlTH3jgAS5dukRjY2Pob+/evbzpTW+isbExbWH0ohAL5o9y8+ZNmpubaTk0CQQHGbImobGGotZ8dtfuYM+ePdTV1VFUVLQoKnOpqtvOdx/HngifEt3XZHo6JXJWxbcVmyvE6w8Pto6eVsjbqDHUKVM+Iw4spTrPvaDwyxsS2qqw/2cgP77tsSkYfUTlxpCEsVFH16IHcrmFOqPD0afu0GB4neeftPC3H1y4sFsMlCd7sH6vg6y/O0vWu05i+d/0fXZXumUKMmdZOPYNK+O3JHwRLmb5CnTNvJX3ZSaN7lyWhUw+REw/0o9//ONxy/r7+7HZbHFpMsvKyujv749bXxAk9vfz+/2cP3+eGzdusG/fvjkDhSNZitSpU1NTnDp1Co/HQ0NDA6tWrZpj6+RtmmJB+84n0L7ziXn3b3Jykq6uLnRdp6GhISqlo39VdKYe/8WnAZAuZi74dqEU7ps9LeTwsfhZai3XvqB93lDqogRDrAsSQEln8u8oMDhIYHAwfsFoMLZDL6+ZV79K3vBaANSR0bhlsdYFz5no/vmf/dW89pkM36+fSfh5rHUhEsf1syGrQjLrgvL9f0m+U4879Q5C6BpaajekqakpCgri410yQUFBAVu3bo36y8vLo7i4eF5xdytaLMx3xkTXdVwuF52dnZw/f55nn32WY8eOcfPmTSwWC863rcfIDudrLshXmJ6uxvE3mQ0uScZKjlk49mT0KVGyxiC/Pr6/097omdbRkfA+NU2iXQYkA3WmuZE6HY9HYswlczJXCxbHA8bi48bI3aJz3SXzI5dE/6r4c6CgKro/WdkGfT0x1gmfTGsCi8RyY/vipfAbLZvsP21GORp/Q5+Lle6GBAvvo28KnvwXG5XVOkYg3NZEn0TWKoPJdRrOvQufVV3KCs6Z9iMVxDMyMsLx48eRZZmGhoaE9QlmY7EtC729vZw8eZKSkhL27duX8Dx4tmQnz5bsnLNNUyyo//HR0GfzEQx9fX2cOnUKh8NBfn4+0n9/jMCjHw62d+Ynabc3HwIl80sdOvz4Mww/nnhAGrduAsGwELY2fysj7SQVDRnEcz796tDZD74Uy/2PMN07NPfKS0gyoRBrUTCR3FOzrqdpWkpJEjKN2+1esqJsC2XljaZmSGeg4ff7GRwcpK2tjVOnTvHUU09x/vx5XC4XTqeTXbt2hXLY1tfXU1ZejrE5PODM6QjgnyrB9qyEMbq4Bb9W8iAvEIBTz0SfEm4PDCTItDbmiswFbMS5/dzolRl9pUafxaDwQIBjp8NWmp4befTsCNomem/En4I3vRJNLTJY4OlrCpIcLQ6UmPSrFWt0dD1i/5JB+y2ZHzy5/FmpIpGbhrH8OmhJMLIUlBYVyW+Q87uNSFeXRqguFZkQxM/8q42pYZnyknBbkmJwyiNRtVZnsl6naN3C95NKzEKmrIxz+ZGWlZXh9/sZGxuL2m5gYIDy8uRpJwXBSaL29nbOnz9PXV0dO3funFesyWKJBQjGxbW2trJjx45QETiA7t//zXm1t9CYBV3XaW1tpaWlhR07dlBRkbx4mmldiA1yViqrkdxzF+7Si8uQNs4+o2nsvz/h55aNc6fWHDmRvKpwpkVCJPbWo6HXfVLwOyq6diJ6nZvBSaKBfa+eta1Ac2I3qfm4IEW1m8AVKRGmO5LFno/Fng/S4g0Ru3+QWQtGiJzctDdZirSpsZgeL4sVs5CI5557bl7Vm2EZxUIqFZwT3QQNw2BqaoqbN29y6dIljh49yjPPPENbWxt+v5/q6moaGho4cuQIu3fvpra2lsLCwriHvf6q8EDSOmAQqPAwPVUI70o9B/F8WaluSI/9r4y9Mnq79ssS3dclcsvCnytZBhOu8GxYUTl4PdG/Z/lmjfFc+O8LFhpzpOjBPHDshRwCLwkwNhR9CmYX6lxsk9F1idWbdDo7ZVbtj35w+2MOzVEU/UHVZp3RcYkfPrGygp1tX2wOvdbvWoU0Y9ySxlWUx1MXkS8GN6SpEYlnvhgUpM6Iide8dToXpyWyB2X02sz4as/1fWbSsjCXH+nevXuxWq08/fTToW3a2tq4ceMGhw4dykgf7kQ8Hg9nz56lv7+fgwcPUlNTM+/zbzHEgtvtprOzMxRkXVpampF2ZxMLHb/zMjp+52UJl0EwLerZs2cZHR3l0KFDlJaWIssye9vDlYu1/0qcUtQ6moL7ZHYOUmFqWZ3mQr/VnfDz6b7hjLQ/H+ZrVZhLMGQCrfXS7CvoqT1D9BeOJ10mWxY+gWJE9CNZkPNSsBxpU71eL5qmLZobUqZZWVOvEURWT52YmMDlcoXqG2iahsPhwOl0smnTJpxOZ9pV7/Q/ycf4iI5k5lx0epjsK8Hys17a/xZyDkmse3nmB2VLFeCcLoYBn/1XhcoqAyImIXxeibv2auTmgHsgeDHlVGkY18OnTmGZAf3R+8ypgDO3FLJyDE6dUyh1GEyNR69z2ZAofFDF9VS4rfytOuqF4Pv2HhlJNrhwQ6bGaqDPuKK4JqLbiZ38sK8NHsO1bpmLV2S216c+qFysgbjUO43lBx3h/djyMONmtE12rMdtqO9Oo70VbKEyWUgfn/y0Dd9kcPscNRwj07NOQ7ol49Yhb1PmYpqS9dVMqZcpsWD6kUYS60f61re+lfe///0UFRVht9t517vexaFDhzh4MPW0jy82JEmioKCAjRs3Lvi3UhQFwzAyNtvY399Pc3MzhYWFeDyeuCJwJrJFjsqEVPNAJR2/8zLqHotPLxnaZp6WhdHRUZqamiguLuauu+4KDZQkSZo1Y45/VTW24ZsAWMYGSSqpshMf40KwlqzCd2thcTu2gvhZ5+HvfC/p+uN5FTimg8LIGpgmYF34LLCxkDzPaVD6Wy9P2aKQaTSPL1TMbfhyN1zupurh+d+/ps++QG6eA3XPK5Kuk8wFaa7gZmDZ0qYCwg1pvvh8PgYGBhgaGmJkZISnnnqKCxcuMDY2RlFREbt37+bBBx/kwIEDbNq0idLS0vmVxy6yoe8MX7S5XVmAxJivDMe/+Lj+8cVRmSs1wPmnv5S5clXmQpuMJSt6W9km0Tca/q4shdHLbQnOdV82TLol7jqs4fFIrNsR/1hxW+AnFy3ID6mhmgz9EcHMff0y9bt0+nplCiOsC7090aft1GT0zTfy7Q9XiCuS9WstSGrwGA1ZQr4SfsAbq0qQzxtBxXaHsJBz/Ne/VGj8v/DvJruCP6hvm0pLi4XNa3T6avSIKs4LIxU3pKUstPjZz36WV7ziFbz2ta/l3nvvpby8nB/+8IdLtv/bkZycHLZs2ZKR38kcOC/UumC6+DQ3N7N161bWrFmT8LqIdUHqeqIn5X0kEgtd//frKItC5GvDMOjq6uLcuXPU1dWxbdu2qBnVdAZM2o3OhJ9Plm2KX7diTcJ1c1aH3Z70559Af/6JuHX6aqOz5+RsXJ+0TyOnLkS9D2wJ1wAwhYL7f6PTwF79WXvS9lKljIUVSZsLY3jueAb3/a+L3mZkcWMg5ovscC53F+JYDjek6elpZFlOOnmw0ljWkZTpsxVpNTADPiwWC9nZ2ezcuZPc3NxFmUnVTmXh+Qed7M+qrPLo3MJAxoJODptfkOj+tsyat2S+ivRKDHD+9OeDDwzXmMTevTrXj4fb6OyQ8A/CngqD6T4JLTu6/0aCa2xwpmBbwBH839ohY7EYqGrwvawYtHYF9/l8k4X67Rrrx+CpKzGNzUwEnbkiU59nkJVvcG0gep2+W+G+yopBW0/44ffDJ6x8+N1+lpWpALZHwzM8+pZilObweSX3FCMPgNQLRtXczd0Obkgwv/Pw6iWZf3pXNvVDM0XSMPDflDFsBv3lBq5LMmvXqAxZYNWGxbcsQGbdkBLx3HPPRb3Pzs7mS1/6El/60pcWbZ+C5ESKhfnW1/B4PDQ2NqLrOocOHSIvL4/R0dGMuzfJsszuK/ED7EREVojet29fwsDvyAGTPMuxJxMK88FqT21mVc7Ln1UoJGP8G19NvnCWe2nXG36f3X/5Orx3NaS8r7vak1spkrkfSQfvxzj1XMr7WGxG224AULovGCdinElcv0Lzqyi24H3RPzaJzZm6O82ixStEYH386wRe+raU1tU0bcndkMx4hdvBSwCW0bJgGAbPPfccJ06coLe3l+zsbOrr6zly5Ah33303lZWVZGdnL/qXafs7GfWqlYEKDWOm9oINK15k1D+x0PejzH5FS3VipDOgPHpc4mxElWZXzKYjAxJVGw1y1gcHuO5A9DFMx2Qps2QZdM4M6C92yTiKDQYGZDbuDT8oKzf5GYtwJ7rSqTC63UCKuV4bm2UKV+mMjsgU7NIoqIjunLNYxzUS7nv1XToTEQXbum7JnGteXgOa9b+uIo2FBYthD99U9bV5yDeCpm3lfOq/2Uq/wcxH0AwPSLz3DTlUFRmh2hul5QbatMTAfo3B7uDvmJ9lYFRnTsSnIhaW+kEiSI9MXg9mVpT5DuyHhoZClY8PHjwYCmBMpSZC1b070trXXLOhFfuDs/xmqla/3z9rhqhUvsfYNKqhbV0x8QNqcnempWJWoZACUnYu2S3BYOWpr30B3xeD6Y4jg5pNiuXZ4yfKrp+Ydfl8mdr3Mnwve/OitL1QxjpuzblO5T07Q69HX/GnAEyeXNqUvMthWZiamhJiIRUkSWLv3r0hl6KNGzdGuRQtlbsOgFwi0f4/TfTf5cMLSIAHyEVi7I0W+n+W2QfRSrMs/O9JOSrj0PlmCWfEoFySDQY2QftMLYOxmNiDgf5od5DiOi+BGQtCQJVYvz/40BiI2C6rPP6hqRfC7keiH9CBgMS6bcF1T1xUkJzR311ZdfT7vNXx3+0Pn1zGQGdNx/bl5qiP5IhJOb0qnF9dvnB7WAxSId0AZ68H3v+GHAZuypRHuLlVlBmoazX6piX6rwYH7NfcEvUvzWzWspXkhiRYfuYT5KzrOlevXqWxsZHNmzezdevWOBefxbAsRNL1f/GzwBX7N4VSte7du3fWwnTpDpiUygjhMI+ipep4fBYlzRNbxSeenI3rFzW4OadkxrXZURi3zPfFjzP09LHgm3w75NvxKzlY9PQs2KW3kmdvWi5Mq0Is8w1mznLkkVfqmHvFFDl79izKDz4Tej9rrYU0WI4A56XOhLRQlnXK1W63J705LaVYMPdX+oMBOpwGA0AhMERQMLheZ+XmN24P9WeS6nc3MAr//oTCwUfC6+u6RNGW8GB+3RGdM50yp/MljGotyu1HknWGBqIHUtkV0QO5Pn+wmMLVdoXy2gkAbozEiAXJ4OqQxFWPRFaMm1P3gExBkcH6+zQ6SmHjb6qU1Qcfurn5Bll5BpseUql9o4q8Pv64f/SkZdnCASzf6UPuCj8QtQ1O5L7wgEEaKgm9Vs6l1sk7zQ3JMODv/zSblvPBm3V+xC2hMM/gUhFYCoyZNg2ujkrs/s3MDbpSsSws9ayTIH0yOUOXrlgwMwsNDAxw6NAhKisrE7aZyWrLkPrgftu2bVGpWpOR8Du8OkdmnRjsPeH0n8kKai01JfcdiHofG7cwF76s2Yu3VV57Lur9tU2vnrNNPTsP6eD98Z/b5vZhl8vizy8TxelAcc4yQH/ZG5Be9ttz7mPw7GUGzy5thiL/h8JZPnQ1/vpLVFHc09OWNLg5VVK9x0st8ZWu58v09PSiudgvBiv2CbiQomzz3Z9kM9j2fT/thQaXABfQAQwicfVdVrwZiGFaaZaF/3xCIaBKXJ2SyIuoptx2SwYp+L7LEhz8j/olfuyEcU9YgZdUg6ZGn0ZZJdE3u+6RAsrXBi98qzOL3EIfPf3RWSlW17oZnVIYmlCoPTgStWxK81P6WxM832XhRKuFX123cMaq4L1XY3KDxsAOeG7UAqVwbkTBFhOgfbNf5kzTEp/qozrZfzBF9ruy0SvDPrlGqTP0Wi/PQrkaXqZcSD3IeaXfYFI9x0dH4QPvzeKpH4WtP0aEe9pQrsEVBaZnsm3lrTIoWpfZ+0IqAc7z9V0X3J6kIxZGRkY4ceIEOTk5HDp0KGl2E1mWQ1mW0mG29KezDXBMFyQgqkZH4MITqOd/mXZ7qWAoVvScaN9128tfE1xmS60IYdaGcBVkS3kFFU0/R7Y7U+5DbJDzYhGyLiThWu1vpN2mev+r0M6fmm+XottKUL2Zl70h9DJWMCi/8ZqE7UxcS2xtmItUXJCq7tsV95lv2JV0/dB5HHGe5p/6adL1U8mEBKm5IWVSKEBQLNwumZBghYuFpcYwDFbdA/oBneeBpwi6I7kBxZA4e5+VTOiXlTIzbBjw6M+Dp8DQmMSuh8IHd+OmRGHdJI7NE7TdCpuXPZKC/x6NvJcMsv7/08h6iUHZhugvZcQf/dsZhsSaXcFjbrpko3zLVMgn3aRmS3gfQ9lFUdaFtffrXHLb2bQlunCZ1ermmUs2PD6JgnwfF/oNXNMyG7dHV2sE+J+f63g8npQGAAs995THA+QdmMD6gwCSJqOv2Rxuuzfctl5bAhFp9KQxkDIXN7jszPU9njypcP+9edxsj74NTd4MbpdbotMSgItNMqOdMgbQPCnxyr/KbMD6XNejruvCDelFRipiwTAMrl27xvnz59mwYQPbtm2b9Twx3RySiYWKhm0c/38/m7NvvW//bXrfHhzoFfz0iwBIaYhZyUj+EEtFLCjn4/31Y4kVDFH7n6MwW/TKEf1JU8gMn0i/YnHCLpSFs04U7aifc/3u+pcvaH/q/a8CQC+vWVA7cUQIBRPpZb+N8huvSSoUFoPu7/w8pfXyHo4WW+7nno5yQUqV2OrNiUg1Ls1QMvccMGMWbhdWtFhYasuCOWh41X+q5OYZaEA7wZRRXYDWI3HhDQs7WZaqzkIqguT5RomOW+FT4FQXFJV6Qu+t5dlY74o/mbtHFKa2K5waknm8WaG9TKL+ZUHrgyQbdA4mqMrslnGW6Oz/XY2xOoXi0mhXJVdE0bbBcZndLw0+qO3FBpc9Oai6RF9OLjU14XOitCw3lLN6805w+4MPzIAj/jc6r/n4xpNtPP/88zz//POcPHmSc+fOcenSJdra2rh+/To3b95kYmKCQCCA2+1GVdX0hN0EZL3HTe7rp5AHIorYna1CL89Dr85H6QwftzS5Kq6JVIKcV4rYnI3Z+qjr8JlP23j1q3Lo7ZXRInLdlpfquF3B8yd7j8aTRy3cVaujBSR6ZAPJZrD+wNJbFkSA88pnKd2Q/H4/L7zwAr29vRw4cIDVq1fPuf9EKVmTVW6ueSC5m8l8cH/mfSmtt+DvcGZ7n6MMCFsVUsW0Kliqa5B2JcjLf5u7Ay5WkHMiLMVFeB54A54H3oCyfU/UsuyrL5B9Nd5FzLE2vkq81zX3YDsVbj2ZGYvJYjCXZSHTVgUglPnzdmHFXnlLbVmI3J+tAF76oeCgbhAYkg3cQDsSYz+Vaf38/L+2pY7FiMXr9dLb20tzczOffDTa3cevKtQdDteskGos9EzGH2vtBpXLU8VI9bBho860R+LZAQtr36CyemfwfSwDkxKr/8Tg6LCFlhEn8lao3zkjCAoN2nqj99PulbFlG2x7mca0L9jehEdCqgG73aC+VuN8m0L9No2Dv6MiVYcHc21DOdTEuKqMFxfxue7DrNtxL3v27GHTpk1UVVXhdDqxWCz4fD5GRkYYHR1lenqa06dP8+tf/5rnn3+e48ePc/bsWZqammhtbaWjo4Oenh4GBgYYHR1lamoK7UkN20EbclP8QFZSFfR1m9HXFGFaEgynFbk53q80nYxIK5lkA3Bdh//3ERsf+6csNE3CZjW4cTX826+bqSBeeCDAz09a0HWJmiIDHWg14O57MhvYPFtfTUSA84uP2cSCy+Xi+PHjWCwWDh06hN0+uz+7SWSh0Ugq79tFRcO2lNowLQqZIJErUtYPP5ux9lMla93ahJ8r/TH1JmKrb6ZA8YFwdinH7vjvWNaCyTf2vP3uuGWRFDz/vwmtCiPr9oder+pMksHH0IN/s5AodmGhTO58CPuV5BWYk5FIMCyUUJDzUo19cuKL78ViPf5dent78Xq9IsA5BVbsE3A5Apwj97f3vTrHv6Iz0C1zRZfYjsFVJCaQcH9JoeSgzqoDszS4jEQei9/vZ3R0lGu3xjDcQ0xPT5OV5+SHXfW4rM64bc90yOy6W8dWC8e6ZbbX6tzqByNi5r98o8H1IeifkJgshD0HNM6dVhgwJNa8yoCfGRDjZrRhj87Yagn5nIGuSwxNWhjPMTj0GyqqF86ORp+Kg+My97xc5bI/+gHRPSqz44BGWZ6O5SA0jyhstmoMZMsUF+mMjAbXX32Xzo3O4Ou1mzW6JoM3grf8xM4Tv2ehKImg7+3tZXBwkB07dqCqKoFAAL/fH/c3PT2N3+9HG9Oo/do6Vj1RDMBYgZ9VCSp0yi9U4ds8gYVgsLe2qRjL6fiHn3TxzohZgMR9fN9ns2j8dfimfNcGjdGL4d9+VZ5Bd4HB9XGZiZnsWXkaXLAaeAPw1o/OnSklXeaq4LwcDxLB8pJILJgFza5du8bGjRupqalJ6zqUJCmjQc6jH/wD7PW1SZfnbNuG51J6wcmzVW9OiM83ryxIUfssqcJaUkXgTIoDW1lOq0J0bHBzqBl1CervRIiE3rp7qexIXLMgU0QGNtuvHIdA6vdL65UXiP1GKo7sp++ZMxnqHdz6VXopUXOOPIznmSfT3o+/ohbb9WAWQiM3P6krUl9fH21tbciyTG5uLsPDw6EJxBBX5na7mw9TU1PCspAJllssAPzuTwNYsw1UoLdKxwL4gOZiOPZRC/0vpD9gW+zjCgQCjI6Ooqoqx44d45lnnuHpi/381ela/qrxHlqyH+Htz93Lv50vw78q3s/VMCQcDQaBvGAfL96Qufue6IfbzUD4tJn2STQGZF72+wE67TLP9ljYvS/+YZi/zqBjWubgkfAD2K9KnBy2ULI78fchb4mv6QAw4JF40mOleSQ4gCt0GIz6JWoj+tk6qmC1Btut3htuv3FA4R2/nD3QblKz8NyQgtVqJTc3F6fTSWlpKdXV1dTW1lJfX8/27dvZG9jHve+9h9VPhDM0FNwowbDGH8/gFpnBgb34ZyYSJkYSP2AHpjR6fjHK8PAwExMTCeMsblc3pI/8m43//ZWVtpbw+VMeMSmrAT9qVTida9B+JTw4n7olc0WFwiwoT78mU0okG/SZ370IcF75LKYbUiAQ4Pz583R3d7Nv3z7WrFkzr/3Fpk+tjAjwTCVewaR4+3ryVi98BjhZoPNCkD3R6VCtXa0oNzsSrpvMqhBcmFyEDP/y6Vn70PSvP+bWudkrYU/9+AdJl+34owcAOPcXn5+1jXTprbs3o+3NSoRQ8DkryL44+6B3+sq10GvH2vIFWRgmbw7Ne9tU8Ox9KK31dXtxws/37NnDPffcQ35+PpIk0d7eztGjRzl37hydnZ2Mj48jaZm3ZsPtF+AsLAsRxO6vZCO85jsBHnuNlX5JoiRLR/XJGO0S3bkGvr9VqDpi0PAXWsqulJk+LlVVGR0dDf1NTEyEyoevX7+eoqIi3v5kLkquxNlrMp3jBlPjwW0vD8rs2q1z4Xy481arwbkBmQmvxOEDOk0XJc7clFlfq3PtusyGzTrtY9GzrJouca5AYXOdxuVrFrzO+H6O50swBW25Mrk5Km5P8NRbu1rj8QkLdz+icuyJ8OlYUGBwyaKwZ5/GsWPRp2ntGp3+4XCftZnFZycs7DuocvaUhdFpiX2HVM7+2sJwrgTj4e3/97KV+jKNIxs1rDLYJFAkg2NDFr7XUc2Z8Q0c0HSKc31sz088C6i7Yfxvsyi/Gb1cnrag7bZhOR+eofPttRF4oQwZifH6eygeOEXhjfjgNTVPZ+CyE/WfFXo/cS5k1YDg4MVms4XqkFy/fp2cnJzQZ5F/iqKsCMtDZB+++D0rn/6fLA5UqlxQw7+nb0zCACYUGM0C3S/xyFaNxpmifg67wbkh8BoS+7csjgvSbJYFVQ3uU7ghvbhQFCX024+Pj9PY2Eh+fj4NDQ2ha3C+7c7HstB4/73sfG7hs9KBC08ksHtmDnliBCxBYe2p3kxOAr94E6Uo8QAuiqysoPUC8K8JugHZumZP53nzbHeKvQ0ylwtSOqQa3Fx66zx6drQLSiZdkQL1e7G1x2eFyr54FO/2e0LvDVmBDNf+MMlyzO5ikygTUjp49j9CzpnZq5dLI4PoZfHpVrs2v5K17Y8DwXu71WqlsLCQ1atX4/F4QuOpnp4e7kvhNJ0PHo+H6urEBQ5XIiv2CbgSLAsAO37D4OI7VJq/aOFMLmzDgCmJC+MSu0oN/D+TuPKChTc/qpK1BO5nqqoyNjYW8q83xUFRURHr1q2jqKgIn8/H2bNnKS8vp2cCvndZxipDlsVgzCuxq1rnQnfwkeGPibHdvl3n3Exq1OPdMlVrDFZJBm4XWHsMyjdAe3/0NtXlBje9Mlo5lI/pXB5UuGubSsul4OllyzJodwcHfyM+mR2Hxml6JljspmyTQdeQxLFRC3c/pHLsV8FtdtyncWzawkVDwWnXGZsIiwO3Ev24G4ywdFx3yjgdOmPjMr58ifIanbbxeCX33JiFfzwatjA0OFVODIYvB82i86kbNv5rizfh7zD9dRvTZ614D/nIORm9TLdkA0GxoK5XGGoOZz3yXill5MjdlDyToM2dWRjHLSjnCtnmayD3Xg3DMOJcocbHx7FYLHi9XiYnJ6OWGYaBLMtYrdaEQiLyz2q1YrVaMy4sXG4YmLTgU0Hvkzl5Xub/fTU4S6hMgX81oAMYPD4pIxdBpP27ryP4e+kSuIsMeruC/fvtP1y8irBziQXhhvTiwrQsdHd3c/XqVerq6li3bt2Cr5XFKMwWS1XDFm6diB9QBy7MPrDKFHpu4hgO5WYHemlVwmUQnTJ19h1kLsHB+Pe+S84q57y31z/3YfjN5KltM4kxPIi0qnTWdaTseF99+6Vn8NSHXbEUNfxMy7lyGv+G9Afthj7/sVnVfbu49fzs6W1jMyEtNpEBzjldZ6kCqrbdGxwTXn4uat0TJ05QVFREUVERhYWF87Y6327ZkIRYiNhfMt78Lzqv/zeQ8w3GZQnHFBTaDSQFBjSgW+ILD1l52/8GcMyRxCLd49I0jbGxsZDSHRsbIysri+LiYmpqaigqKgpZEkx8vrD58fNnFAK6RECHPZUa524oRK7eMiizY6dOU2PwQrEVS3AzvHwyAGW7waHC/dU6V6biB95VVQY3kRj2yWzapjF23CCrWIIZd9mNuzWa9fCpdtnmoLwigILCuZHwIOzYmIW7H1C5eknmnC/4+YRf4vAujePPB/ebl23QGmFVyMsy6J4O/3YjPpkD96mc/onMpV6ZlxxR6ffGX8xuqxT0KTOJ+UmGNYnTIwqXp2W25EU/nPQxmPhMcHZx8KqFmjwVKaIPXM7GsE1i5EsMTZVgeKMHms39du7Pn0CKcKM0LNBzNfzDDP1DFjW/ciNJUpRFwTAMLl++zJo1a8jOjnanMgwDVVVDwiFWZJhxFuYyTdOQJCmpsIj93Gq1zpla8ZkbCm/4dA4+NRxMuMmjhVLlnnPLoDCjnYKfVZfo3JzJyrVtvcZAY/D7miqGgWmJLFlC0mH/PZkfZJnXorAs3P5kUvRKksTQ0BADAwPs2bOHoqKijLSbimWh8K74wXZB+ezuCnJODrrHM+s6yVDP/xLL7vQGZ/qOQ1hvXpt1nURWBcOWjeRPPAETt4+BPuSyCsjKwl++LvS5v3YrPJ84s85cVgXH7m2Mnw/HcagR1aL3vP1uzn1l9toJEEyfOtp0JeGyNdeepHv9wwmXVV57jt7198/ZfrrYe5qYWL1j1nVyrpwOPeKsl89ChHXM1n5hVsFQcWQ/45faMtHVRUMf7EcuDbpN+SuSx/FE0rXhpZjSNVnqVDlCKJhpUzdu3Mjo6CidnZ20tLRQUFAQEg+zFRqORbghpcFsA+flTJ2aiNLDOpd+LTOuSjRg4L0mcTJLYlWWwZ46g/NPKPzTARvv/HmAmu3J25lrP7quMz4+HrIcjI2NYbVaKSoqoqqqim3btpGbO3ukv7mPUQ882hS+AMyxZeuwhCIbaDNBy3owyx1Wq0HLcPQDd+sugxPDMjtW6Txjl1mHAWPR69gcwIybatuUwv67Vc4+q1Bbp3G9Q8ER42ceMGTK9/vImZa4NRR9Ch6bsPDSlwZ4vCc8wH9hUqGiRKdvSGZzrcYLk+Ft1pVpNBvRbTR6FO57e4CrQwqqVYLG+O+oyxeT2z8iNkJB54ZPxkDiUzdsfGtz9MNt8gs2jJnvIDCiMH1YJT8iNk+aUtD22RibLkC9HO2yoG/T6LlkYXy/gvNMePDr3qPgPR0+Du8ZhdHjMsV3J74GEg2MzIG/1WpNacZC07SEwdt+v5+JiYmo9+ag2RQQiQSGT8riH56rwKeG+2aRDbpuBr/r0kKNwXwFhgwihcKty+H1KwsMBgkaHtzFBrgktGwoVAzW1WZ+8iCVGgsgLAsvJiYmJrh58yaSJHH48GGy0gjgnfjon2L/0FeTLp/LsrD7XQfofKaVyf6pOIEw9Oe/hzU3i4A7PMCduHI9Ksi5qmFL1P9EGJKcsNZC4NEPJ93G0ngcdefhpMszgV5YiuwaDL2Xi0tmWTs1Ln75Z+x8/+sW3M5sjKzbT3FnakHAlY0/oX/HwuowpEKsq5bhX5xgbs2votiCzy3/2CQ2ZwGaJ/0kFJX37KT3aGNG++av3RoKck7E2vbHCZQGa0+kUpTNZNVwK6vqg65cXq8Xl8vF6Ogoly5dQtd1nE5nSDzMVqH5dkudumKny5YjdepsA4dX/YHO/xyV2YFBJxLOQTiDxPaHdE43ypTU6oxdl/nin1j41MnU3SV0XWdiYoLR0VFGRkYYGxtDURSKioooLy/nrrvumldJcMMw+PZ1GW/Ec+n6jCuPyyOxs1qn8UawzUsDMtu269isRsgFCWD7Rp0TI8FtLDJohoRjjRFleQAYjenamUkLD/1GgIlGiesdMFUgQXQ9NZr92eyr1yAmDqrcoXNUt1BfpnFlINgXnyZRs1Wj71kZaz4hYQLgsAMT0W3UlupcyVNwD0icdiuUO3T6I1yRVq/S6QlE3xhuucMHUZHt5aYRFGQ/HrZw1S2zMTf4cNUGJKa+HC0ABscVhht09EDQQq4bEtkFTmxn4wOpe2a+3k7Vxi7CM4G3hqOtQ8Z+leafWLnv7ugbbyatbYqikJOTE2eZSoSu61HiIdJqMT09jcvl4hNtdUy63EB4cFWhTNMTyAcJhgtkigN+Rgh/fzXOAL1GcH1JMvADVUdUXhhVYOY3UXNg+9bFcd0QlgWBiWEY3Lp1i9bWVgoLg26S6QgFk0SCQfvOJ9Amp1B2virjk2CBvUfwywryk/87+3rPPo71JS9lsOQuygbTy5KUKZSuNvTKNaF4Bb0kuVtSMmw9iWe5041VSMbBD0RbWbRrifdXeFcdrpbEgdsA6zsSFx/TpfQnHq4ceBsAmzt+HPpMLqtEH+gFUrMumEgLiLnJFMniFWpefYTJS62zbptucLM80JMwbiGSUMa71vTigrKzs6moqKCiogLDMJiammJ0NJigpKOjIzTRa7osRcY7LWbq1I9//OP88Ic/5MqVK+Tk5NDQ0MAnP/lJNm3aNPfGSVixT8CVErNg8tDrdJx/Br2ahGrAQ4aEZDVo75EYG4ThVRIVwPQFibNHYd89SZtCVVU6OztDrkWyLFNUVERpaSn19fWhyPyFHIvXkPmXKxZ2r9U5ez14c+qbkthYqnN1UCYvN/pY5Uqw6RJKr8HaaoOSMnBnA8PB5ecHJWrydc6NytxVp9LSETx1LIpBx3R8Xy/XKGzUNaqbddp98Yq9pszPmVob+1SVsyfDp2Ftrc6JSQvjORLOHJ0xT3Dbsy6FDWs1ro5FtxVIcAYXFRq0qgoNdSonrliordPojwjirizT6THC7wutOqPT4ffO7EBID+kz1oVv1AetCxOfsmFECAtpi8aZLoWqDRLuC+GHgCXHwl3ZBngjvps6jeszLjatl7LYme9BmgLfDpmJpoj6FnkGp6/LMCIT7Su1fMiyTHZ2dpzrk8lT3Qq/HM7l7lyV9ojPy3Ms9BhAuYFuk6ixeUNiQZF1Ll+CwlIPFZunsejwdNsqKCdoeDC1lALZTh/T09PYbDYsFkvGJhPmEgvmLLAQCyufhZwTqqpy+fJlhoeH2bVrV6geTTpMfPRPo15HCgZtMuhzuLPxJ/SXv23e/YRgJiTBwslbV42vMbl7zY4/eoCmb8yedSmTBLLD7meejXvJmhicZe0gcnn6YisRtvYLcWlTI3Fs25QxV6S+4xepOLw94bIbP36G1X/ylliv4EVH07Q4y0K6hdgkSaKgoICCggLWrFmDpmmMj48zOjpKd3d3yGVpfHwct9uNx+OhoCB5pfOF8Pzzz/OOd7yDffv2oaoqH/zgB3n44Ye5fPnyvAXKin0CroRsSJFIEmyr13m+SaHSDz2ARYWmKzJrSw38gxI9+bB6SuILH7Lyn88FQm2aanNkZISRkRE0TWN0dJSioiI2bNhAQUFBxi0pv/LWMOKTWOuIbrfMaXB1ENpGZGQ5WPMA4NqYxJq9BpYq6NBlCsp0rBFiwUCipkDnxhToJRLMTKjU1Ri0adEXWbVT56Yqs7pWZ9ubNX55Mz5moHCVxnUkGjcq7FY1zp9VKM7XueCeETZemV01Ghfagi4ruiFRvUvHdU0hYkKevgRCJJADBOBkQGFrmcoLQwrlTp3+GaGh5BJl6ajO0nFFiAVLTOrTHwxZ+Js1Emv7YfrR8LFId2mc6ZTxuyW0nOhtVI+Etl9FORO+xPqLjdD3pgZkxncFXZH6jegB+MROjbHjFhiGsesSzgTuNysh25HJhB/e/WzwGLQYd2SrZoFSIH8moH4yfKNqOKgxqStc7LZRl6dwpt8G1QTjRxTCOskwePAllzh7dghd1zMaZ5GqZUG4Id25TE1N0djYiNVqpaGhgezsbPr6+hYtENm0LGjf+cS8tpdtNvQZt5K81eXMZqdIVmthoHRblHUhMoWqevARLKfCwdByVXzmtihSrbWgpp/NzMhzIE2Pz71imjgefgi1vZWC1WULaqfwrjoy37v5Ye9pSmm9sR0P4Wz61Zzr5TccQu+/Ffd5ZHBz0YP3Mf7r6PoYC02b2vO1b1P99j9cUBvpous6hf2ZtbaZHiJmvJNZ8+rEiRN87nOfY3x8nL/7u7/j0qVLPPzww2zdujVjz/XHH3886v23vvUtSktLOXfuHPfeO7/0vaLOQhr7e8XLdVQJhmW4YIFVM0Gbw7KBDLRK0JdnoJ6X+N+nBmlsbOTZZ5/l1KlTDA0N4XQ6Wb9+Pfn5+ezZs4d169Zht9szPvBTdfixO+jHemFCotwRPq7hmWrIw26JrVXhz3dtN7g8KeObEQ85uXBuUuZgXfhRdGFYxm41aB1X2Lh6FICSBKmYK4qD25zyWxgolrDbEgx2ZyZRAki0bJHZsVujfr2ORwt/FxfGFQ5vDD6wd6/XOOWwMLlbouEhlaoyHXuOwc0EVo2+GauBgcRkYfB1bW34OAZjCsYVxEhmjxyTGhaJz960MfGxLJjxx5e2aZzuCAoFgPGB+H6MRvjuU6HT9kJ0u52qFbVWYuhi+EGrrNU5fSq8XvdT0Z1biTUWPnA0i5szge9jkzGZqkYlKAr2OVsxaJ/JdNTwahV3tkRjp4UdNRo5uyTKtmpBi4IbiBhX3L9X461/eBf3338/9957LwcPHmTbtm2sW7eOkpIScnJyQrM4vb29tLe3c+HCBY4fP85zzz3H0aNHOX36NOfPn6e5uZmrV6/S1dVFb28vo6PB89jn8yUcHJqBbytJnAkyR29vLydPnqSkpIR9+/aFLGezVXBOFdPSoH/vn6M+r3zyG7Nut+7I5qTLIuMVFhM5SYaXY9IR9B2Hgn2pTm7hSGVWPFU81ZvRLLPXxjHZ/LqlqZSaqJrz7cDUnmDw9diOaFceI8VzfSFZkFKh5tVHFq3tns3Js1YtdoYyAJvNRnl5Oe95z3u4du0aBQUF3HvvvTzzzDMcPHiQX/ziF4u27/HxoKRdSKIGYVmI2N9c/M7bdf7qkwZ9ioRDgbKZAc2IHyy5Bg5N4pJHYn+Byr9/opB//doka9asweFwhGY3h4YWt1gJwI96sxjUgz73uiGxYbVO/0w13CsjEiX5BkNTEgUzhdeQDG5awtmBciwGF6eC67chsSrXYNgtMR2QuKdS42ivwrgjC/mWgZZLXMyALSJmZzxPZnuNxrFr0aeaKzs8IPYhcXWbzP4clXWtGp23wsvOTik8ssfP05oVdUbInFAtKFsMHipUefK8JbJIJs4cnR41rIG7AzJ3r1c5c02hwqkz6ZG47o7RyDGn2aCUFffZ2DWZ0zdk7tqjgcXghUaFgC98zox1KFQXGagRARz9TTIlDgPGJUbX6eh90d/BleZsVu0Broe36bAbaBGWmu5fWdjxtsVLGbpQnuxV+M/WsAvVzZFw3xVJp6NIBlfw/YZ8nRZdpuFNKpfHZabbJGpKNXJ3w/MuK4eLVAYg+N3PWI8sksG3vxY2JVksFiwWy7ziLCLjLcw4CzNz2KlTwewqkfUsfvjDH9Ld3U1xcTFf/epXqaiooLS0lP3794sibSuQdASdpmlcuXKF/v5+duzYQWlpdErKTIgFk1QHYqlQsjd54PJ86SvdQcXg3LPSA8567hlJv5puqkyUbsDpSk9k6KqGbEnP6ufYvW3ulebBjfUPUXNt7hn7ysafoK+qiPs8a2IQn3321KizMh1Orze89QEUXaWwKfx7mUIh4aZXZs9slYiiB++bdblvfDqq1kJeqYPpweR2mMp7dqbdh1hSzYQUS9Dat3TWY0mSGBsb40/+5E+oq6vD5/Mt2oSUruu8973v5fDhw2zdunXe7QjLQhr7K3DA2ioDrwLZARiUg+Ma66hEV5lGmRs0GS54FSbb8qheU0dhYWHKUfaZQDfgp+PRAUztfglZCh6bgcSGsuDrtlEZSTLYvVmnK2KGfnu5wfTMDL8rIFG3Lvy9XJ+QkTEY0PI4uFOnX4s/wScsEYPfgIxtVTB41USWdG4q0YMtu9Xg+UornQ8o1L1R5/ARlfu2BCjaYHAy10pNTrSxXUPiZq1Mw0uiH8TryuJ/w/Mo7Nyosq5Wp7ZSR48pSzTpD793WlVcRvT3l+WGfX+p0HdS5uddMqcUooRCaL266L7omkRgiwZOg8vnE6Rlc8IxTxaSKdr2arRdjF7v5q8V1ASZBlfCTPcVt8wXO8LfValVZzIiRqM62w+rwMx8VKgY7PhdnRPDFrZk62RlQfl9BsddQRGlTROst2ADZo75vX/op9A5v/6ZcRZ2u51Vq1ZRWVnJ2rVr2bBhA3fddRe7du1i586dANx3333cfffd7Nmzh02bNlFVVcXatWvJyckhEAjwk5/8hI9+9KO84Q1viEpNnC5f+cpX2L59O3a7HbvdzqFDh/jlL8MuIF6vl3e84x0UFxeTn5/Pa1/7WgYGBua9P0E8brebU6dOMTExQUNDQ5xQgMyKhcXG81+zWypSoa80GByrHnxkwW3JEyOzLx/uS7psbFN0xiVpPL6t4admr0Q8G+72DjzXuwCwbIi34My3QNvIuv1AUDAsN8NbHwi9du14GNeOh2cVCvNl9KnnM94mLK51IRG6rvOS8jSEQv0sAakp4na7MQwjFLOQlZW1oGKPs/GOd7yD5uZmHnvssQW1I8RCCvvz+Xz09vbS3NzMli3B0FeXBP254FcIVubNVhhxALng90uMjMFnvp44veViHtd3XDJncyxkSWE/jn6vxK614cG2mSV0eFpia7WBsSq6n7FBw6cnZfatDT44b01J7KtQWV06QfZOA1ecw6xBlx59Wp01FHbXhB+8lUVefFL0OmXZ4e+kwypzqUrm/H6J9es13Bi4bRJltvDOtpZrNMsKJ0sU7toQPtY8R/x3u6lUZ3qbjLQVVpXFe/je8oT7UpEXM4tvwO98ycA+kznqapVEyykFa3GC1IMJ7HTDkzB5l0bAm2Bwv17nYqPC+UoduUrnbE/8OqpH4tbx8I1spbghjanwxvYcAhGxHxWW6L5Z83QcEZ+5q+HCYPBYxvskDr9O5cxw+EsbG5VCIgEvrMrX+dDfLE7KPxOzerNpUcjPzw9lIvvjP/5j3vve96KqKr/4xS84f/48N2/eXFC6u+rqaj7xiU9w7tw5XnjhBY4cOcJv/uZv0tLSAsD73vc+fvrTn/L973+f559/nt7eXl7zmtdk6nBf9PT394eKKh04cCCphSpdsZAs7Whk0HMk/q//bcptZ5LBkrtCrwdK05thX309OuBzyj7P4NqZeIt5ZUIaDqfiK37Nqyh5/W+F3psuSJGuSGV3xfvJZtLSA+D41X9GvZdmCc+d2nQQIK56c6ZR9LnjQ2Jdkeai8IH759mbzJDzkgdh3fyy+dyqCp8TXZtfGbVsKVP0m0xPBx+ci5069Z3vfCc/+9nPePbZZxdcLVqIhQjM/fn9fvr7+7l8+TJHjx7l2WefpaurC4vFwrvfawPDYEKBaRlGZ0oe6D5oc4B9pstaQOKxT8a7KizmcQUM+Mc+C0OazPrysej9FoQHoi3DElkzg7jyKoOegBSa+S/JMWiajB+09lhl7rlPZ9cbdXwPyvQcsPPMKgubDkQfS02RwaQeM3OvS5TvDM/GFhbFDwDzs6LbqTAMJiWJY6UyVQc1Ksp0CvINCpTgevJM8TsNCdduGfvM7PyUNcGMf7FBi6Kgr4Jb22SKc8M3h2KLzmiEZSEvO/rGsf8p2PVccHn7bnBcBEmXuLYxbjeM3oi/nFySRFtvfJ8sdoPWmRoY19sVTm3RGB1IfDl2/2pleQvqBrz1Wg4dXpmJiHMlL+a8HlljZf2MwNu5X6NlJhVuVY5O+Xadiezo7+VGrwxWQAs+cL/2GQ+LbUCZ61pUVTWjMQuvfOUrednLXsaGDRvYuHEj//RP/0R+fj6nTp1ifHycb37zm3zmM5/hyJEj7Nmzh0cffZQTJ06E3KQE80PXdVpbW2lubmbr1q1s3rx5VouvKRZSvVdrU+5MdTXEZP9U1PuJW6MZbb+iZ+7aAHMGNy8CemEpemHq7ji6Ovvgv++JYKE1d3t0mtPB7/94zrZ3/NEDc65jsrrnOKt7js+9Yobo3fCS6A/y8qOsCplgPtmW8sqcyZeVOtJuL+fI/K0iPbuT19jo2vBSegYm0xMLGbAqQFAsKIoyr9TMqWAYBu985zv50Y9+xDPPPMO6devm3mgOVrxYWArBEAgE8Hg8jIyMcPz4cZ555hmuXbuGJEls3LiRBx54gIaGBurr6znQUEj9phmXnkAwmNhvgRyXxJQlmBNen5kI9gxI/PB/Eg8y/uWazNHYAgUL5NFhmc6Zge9VRyFV9vB3d2FconzmfWW1wZHX6zhfbfCrtQrDaySkeijearBnv85dFfHf+YYdBup6uGCVaZQUKtRgsYPTkszhneGLrbwo/sJbXaBytlplXVlw1l5KcL+QYnSVMyLHR7dF5kqtRs22UfbXBtheqnIxIjtNryRT/2DwgdEdI1RsskHLTHxEW45CvyyTsxtqZvpZFZHFqH6NRv4mLTQzVNoDr/1KcNlkMUgROUGn+uJ/u6lbMrbKYLvWtToduzS+cUnBk+D7tG3T8M24fhU1qPzydHJBcK1NZihGcIxl+NxJh4/02PjVeLC/3a6IW0iMBvStlZkYmXFBqtbxzJi0NhVpTO6VmJoKH0OZRcdtl4JuowY07NF46Mjiz/iYloVkaJq2aGlTNU3jscceY3p6mkOHDnHu3DkCgQAPPvhgaJ36+npqamo4efLkovThTiLZ7+jxeDh9+jSjo6McOnSI8vIEWRliMH/zhc46WgvyQmlT52L3u+YOzh27HJ/X37Et/dlWUyika12IxbXlPlxbZvddT8Tk5sQF3vKmwi53sYIh0qqw3EhbdyPvPIC8M/ibFXdFV6tOVmPhZlZm0t6qzlJKh1pQHSXcXH+Em+uPMLxuYcHd+Tvm789ukrNn37y3tRRnpkp6utg6ln4ixqyxsFgu6u94xzv4r//6L/7nf/6HgoIC+vv76e/vxzPPKu+wwsXCYqGqKkNDQ1y5coUTJ07w9NNPMzY2hmEY1NXVceTIEe6++242b95MWVlZXDDjC2cCfPTjfuyrdHx2A1e+QcHMxFJngYHunDkG4B/+wkqk3pEkiQuBQr583cIjp63ce8LKUwlm8tPFo8MnBsKDmoCkUBkRa6AZEhtqdBoO69zaK/GEVWajPfwg1JFAhmOKzKUSiXu26WTPWB921uocd0pExgUXWsKWgvNFErVlwcG6NYFVrabEz6AMm/YHR5OTefEWF7cl+juIHZ6t1afwZY3w9AaNos3xAb9nciwcuT+AKyaN67ZyjcmZc2lUktji1LhpyExugS2VGvmKQYlD58AjKuo+eL6mgK07JrD4Dd7ySciaOczOSrBFFIOTuyR6EsQayut1Rg6p/Hu3xLGZugvtruhjk7MM2lqD/SzeofHzkwrjExL5NfEDE9lq8HijzKfekY1hBAe3/T0F/OPfz17Fez7clOBTqpXZEl58d9TCZ/uCsyGVus5EhFUmcvC/5vA0XkXmxoDMjn0agZllZUU6U3aJs7LC0ESEWJANKATyQd5u8O+fn/9NLR3mEgumZSGTXLp0ifz8fLKysvjTP/1TfvSjH7Flyxb6+/ux2Ww4nc6o9cvKyujv789oH+5UYn/LwcFBTpw4QUFBAQcPHkw5x7j5EF/MuAXDN38XO3me/s2F3/v0vPeJllrqUz3fOe9dKO6JuM+yXb3k9M8egJtXsWre+5wP8nR8P2Pxl2TeKtNa92pUZ1hE9ZdkNlh7voLBvmML+evXoHUnL1IH4FyELFID972ZgfvenPZ2ZVMdyJJOb3Himg+RGIolY1YFCKZrXkwXpK985SuMj49z//33h4rGVVRU8N3vfnfebS6rWJjtIW0uy4RlQdM0hoeHuXr1KidPnuTpp5+mtbUVVVVZu3Yt999/P9XV1SFf5VQCTd73ZwaXLwa4+xEdV55Etg+QwI+EO+IccI9KfP6T0V/zd7zr6PVK7C3QOTMu83fdCq/sttKaIGjWRDXgM9My/+6VOR2Q+D9D5sO6wvv8CvunrNw1bSN2/uqsX2b7zEy3LBlYtkJblYTHkNCRaJJltkcIhs2lBlOGhIHEUVmmfBscWKvRsz64/iVDonzGXanD7sQhB197DAnjLokcq8GYEn8Mk47gQ2aoSqUwX6PXFp8Gbzhmu4AU/bsXGlN0yC4wdJpyDLITZBf3rPXQsGMYZ1b4oaYUR69zyqKwJVvDZcj0rJMp2GbgPiJxOs9Ckc3AkCQulTl441Gdiq5gH9p3GzgTpGDun5kImSqEtgYf39vj4XOays9OWtAj0rM2tyrYysP9zd2tMTUqU7Ba57lOObSuUh5/THm7NQZGZM48beEn/27FNSLx75/cx48etzE2Ft+n+RIA/ixL5p/ULF4fyGEi5rKbNuAdU1l8fSgs9CrU6P72jUoUFurs+R0VtUKmatqPNyChbYbJ4eAxbt+goe6UsOkwECEuJq0EU6aWwF8+5KNiYenPU2Y5xMKmTZtobGzk9OnTvP3tb+ctb3kLly9fzug+Xuzouk5bWxtNTU1s3ryZrVu3pvU7mutmQixo7rmFr6c/Okvetj9aWKBx1ubgTIbr2dmDgVNxRUobWUHuv5GRpvTCUtS89F1XIDpeIdYFyX0ydXchKSuzgadm3MJKIN24hVhGn3oex72H0afDwWt5a8PVkh3188tOFEsyVyTP/vB1kk4mpLKp2UVNJIaSecuy2+1etOrNQMgrJ/bv93//9+fd5spyho5gIWJB0zTGxsZCFZLHxsbIysqiqKiImpoaioqK4gLb5hNLkJcDP/5XlaqXSEyNyShaMBuSSzGY2i5h84O93+A731B427t1cnPh/KSNRi04gvXM5OHP8cGvJJn39Fl4cm3iNJlfdSv8yCNzVpIpkAw8DlAliQOyzsWZgOJ7yjSO3ox+IHpWgX3UYP1Bg2clhb0WnZGx4H59hkSnFTbk6bh1iTMxmY26dIl1WwK4VRsQFAwbrBr9fgWfYmFvvsbxieD+Og2ZgwdULk5F77/AqtM6U2eh0QIPPuDjCW/0rLgFgz45xs0mZgBnME2/HGCLOsVli51DuX5OuqNFh5bl44zNj33fAIeH82i6ZudyVnR/DEnCXwB7CDCYrfDEjP/TGknjBUUBDXa8Aya+oXCizKBwjY7lWmJNPajCd3aCqwk4EZxt12v9bEiwrl6nQ78MssH1GzI2u8EVCSYiZtcnE1yNFyKsEl/+f1n8+PsK1txJpoYlzr6g8NCDmZn5/LssmWFVwUDiSd3CQ/5cvmv1sFY2uKjK/MFkNtc0GUeEdSUnIimQXTGo3GDQt0GiyaNAjszWCQ+O3QqtPoWsXjiwV4VcOG8orNU0uiJS1d1cJcM45NTo/L+XL22q2LnckDItFmw2G+vXB90R9uzZw9mzZ/n85z/PG97wBvx+P2NjY1HWhYGBgZRcZwRBvF4vTU1NBAIBDh06NK8ZPDPoPVOWBUthIarLlZG2YlHHZi8L5h0eAyB7lTNumZaTmdlNV91BChfozpE/Preb0eTqbcDjcZ/LtuUfykh+L4Ytm9U9xxfFqrBYqGs3k2+JtvbnNxyKW899/lzKbZYe2Mbg6cRFzqoeOoCegoBeKCPOOiA6bmG2WgtLyfT0NLm5uSsiq2GqrHg3pFQG8Lqu43K56Ojo4MyZMzz99NNcvHgRt9tNZWUl99xzD/fddx/bt2+nqqoqYQaM+QYeW63wZ7+n4yqC7JBVWSKQbTCdB4OVEsP9Mm94e/Bm9vme8M350oTMplyd9jEZDIPj0xK3Elh6BzX46KTC+UBwZn/SkNiqBvvaIkvYZnzsL2fJZMvRx9AekGk4otMxM3P/gipzuCA8IzxpSIzlSmwo1fDHpBS1Kzpncg32ZocHb30R63QrUlTmB73Mz/atU+RZwu3Xl/3/7L13lCTpWeb7+yLS2/Kmq6u6urraezdtZnq8HEYSEiwsy10kzLKLxL27WnPRHsxyDywL6IIW0GIEK2BZFl2B0CIJSUhje6Znetp7W95nZVVWehcR3/0jMittVWWZrukZ9XNOn66M+MJkZER8r3me903PV1/SBWTadKyUTsAb7BKt7KEZL3MepoUZuajHFPkFyoTIAoN7FvM8Iwq83hLnwJEJ7FQanrqS5V7rGC3uSU7aZukQaTbYJKQFR38YunOVCLNTgvsWyaU2aXaFzl+zTZJvH4Kzb8LkLCU9GUS/lay30sC4MmsO8h7WCQUEsV6DwTJB9OhM2fXfpXPlbsFQ9TVIzp+xks51mH7z7NoYsV+1CD5nU/AXNZG7JVWeybj4TNLGc2EX9wyVbZrBXJFDmS4qt3twp861boVAVmGH30BDwRICZY9gm2bgdEnGXQoTG8zv3FBcfdQGWb8Ap+SzH1mfplN5vJ2ahTwMwyCdTnP48GGsVisvvPDC/Lo7d+4wPDzMiROVk/cjVGJmZoYzZ87gdDo5fvz4qlL961E+VYi1mYLtl16uWFaeVcg7DRsGzah63lFoC16v2Hb06Z9ak/NaDqRae++Sxo98cP7v4opIeVSrglQO76YH54ArGdMYfhicBouRwfX63y+4Xu2r/P0XgqPRV7FMH6/u5LUcW0OKlHww+jUlx1AopyIJo+y5X0MKEjx4GtKDwDvSWTAMg3A4TH9/P+fPn+eFF17g0qVLRKNR2traOHnyJE8//TT79++ns7PzgXtwv/wzOs7jBvZiCmru3tadEOyGm68p/OBvqHxntjSl2aBCICPYKSQ6gr+LVf4kvxC1EJYCHcHWnGXqyeaq/yDYk6s4M4PgSFvp9erxGnzToaL44QmPgYLkkhRsKipD2tuc5XZnlm5nqaeyvzlLXMBtmzFP+7mPwhZhPkijKBxym8stGEzUZ3nTbdB0IEpvnXkxlPrSfd6zGOx0lkbYmhyl59wkdWJFv5dN6gwpZk3Ne0oIIU3nZ5+tcMG3WjOEyhwlXUnTZhvCKksf/DbLHBEhuWBNc8YZZtY7CvGbPPE9Bhu+UhiX7ZBMnVWI3hRc7taJtkguHZN8fVQQvGiOSZfNNwJBZEulg9J/y0qqPctkFuJPaQSr+KW3+xQUa2HFqLt0UPMmA6tNcnfMfGGfPrv6x3dAwM86zP1oWun+ZlD4k5SVdM5BbE6Vnk++0d+pA1kuoZq6F8m8RsTuNbiaUWmMSXqOSjY36FzXTQfHUbyvJiAI9mb4p8dq40WvFWp1Ftbq/fHpT3+aV199lcHBQa5du8anP/1pXn75Zf7ZP/tn+P1+fvInf5JPfepTvPTSS1y4cIGPf/zjnDhxguPHHx7qwsMKKSV9fX1s27aNvXv3rtrJUxSlJmch9Xv/AQDnxtKXgXd3KT/bUl8//7d119KG1GqpSA8btJ5daD3LbyqXdyKyDe14By6u6NgW19JNHB80bvd8cOlBy8Ddhuoi8XLkHYWFHAZhr607ds1Q3p5oeT6TsJa46n+Ga561dRSgIHB+J+Ed4SxIKYlEIgwMDHDhwgVefPFFzp8/z9zcHE1NTRw/fpxnnnmGAwcO0NXVhcfjWfbkvpqSpkLAL/2gjl7sdBc5Dmk/zNgEX/8jC73hUkPywpygySppyo3/RqT0J7mkSf5HUR+A21mBRUoGsoVljiJx8IBToBaFujuazf9DCF6zKmyul+xypXE6TfrPVo/G5UadSQWiG7Nsc5vGmsBgwGM6AtOCkuxCe9EcbNjNYx9rTjGSC3QPWWB0e5LHu+PcK2umNqoAHq0ku+C0lV73trLfYbMRm9cwBBSN3bqpzrC6CoZli60yrTmgpLlhSXPYWlSbW2a5ZCkdu2PCwPb8ZupfLb320106IhdJn72l8vLBDLfPCop9j2yVymcJX/UoyDcOzvElJcP/es1C1ll5r2U1gafH3NbZZvDShdLMwb2QjrovSSJlTp4XLqv8JzlHapG63oshg+THnSrh3LMSKBOHd0ud8aKeGeGiTIJbSkYjgmMHNcJ2BYdTcqxX49ldWYbS5jbhjeaN4vZJrmUVZvyFfYn8T6AAjRIxIXmsZ/2bYNVaOnWtEAgE+Of//J+zfft2nnvuOc6dO8e3vvUt3vMekzv8O7/zO3zf930fH/3oR3nyySdpa2vjy1/+8pod/90MIQSPPfYYGzduXBPnzmKxrFlmQXgrI7JvJ4S+MqqfNTy99KAa4Iwuv9Fg2F97lL5h5ybA7Hid73q9UoehmI+/ELR7t5a1z5R7aUH2Yt2c847Chpe/wIaXv7CsYy8GbWoKR1tzxfLU6DgArj27K9YpDgeKY3kOhzj48AY/bvhW1phvOXjkLKwRpJTzTSuuXr3Kiy++OF/6rqGhgaNHj/Lss89y6NAhuru78Xq9q54cVtv/4F98yMB9tMhIjAmzE20OqQZgK9z7DStKsjABZQzBTpfBeI4LfiamMFO0m99yZNlRZBRPG4LDimTMEPTmBKa3FYGSMxjHEBxpyVUmEpIb9tLr0mqPI5rCKBumeU97glRXlmRuyIyAqQ1Zdns1jtTrpmGfwz2bgS2fXRCCfImny1Kw3aFz21da2SMlINMUpMOoLBuoK5L9/sIL2CjLPnvLjN8GWboPH2ZXz0sW2Kia33XOVnr8LbrBpGKue9Ma5QnVrCaz0zJHcX80MasQ+J4O7IHSk9B6dBJvFIzE+JEI07FKJ0CrwprJVGnAJm0G9+64uZzRSaUEd8eq36+yMdfrY4uBVlQG1taoMXHTxlhR9kemFH77Zobj7nFeUpfPAf2sbZrLOXqa05AMy9LXQYde+B1chuRWWgEf0ABqq6T7vQaNeyXRPYLAfoWzrRZSuXPepMa4rjvxqZIrqOx6Tqc/U9h/Ii9ubgJUQYtF8i+OPdgGbNWw3gLnP/3TP2VwcJB0Ok0gEOA73/nOvKMA4HA4+NznPsfs7CzxeJwvf/nLj/QKy8BaZpBXQkMqzy44unJiz4T5vivOLtSC7u+rLXpcK/JUpGpYsHtzqvYeEoavcelBC8By9xJitHbhaa2YPn+Tmev9a7rPYPfKS4SuFXzq0hWZfKf/ZsF1dYMXqBu8AFab+W8dIe5cWZfjWKrQkB8GxOPxRzSklSDvHAwPD3P58mVeeuklzp49C4DX6+Xw4cM899xzHD58mM2bN+P3+9ecVrQWzdI++6808BTtoywLLtOAX2D8JwX+BLgPxOB6v8LgRYH/G5Lknwp++LfNDQcx+N+KgWhMQlH1n0Ru/mrPUZFmEewpoq8EvaYG4mCLwWyRxmCHmuKCPcIFoRFVdL7TMIchSifDsIDBtizuulIDfUrA0VyVoUkUupOmqE4iqBO3CYlKQ3oyPUQ8PVCx/K7HQdAnsea+U7ysbGrlTVka2bmrzKFIA0MINrkyuNG5o5bSV9rLqEdnrEEeE7PcshTtKyrwfk8rqSsuhraUGtvjjVEounZTFkF42AZlVCdZJUBmDFXSH6aPRwltSKNfN9u73xtSqa9S/Sikg+qQfOdaqYE6uzMEFknqTqk4XJxx069ofMgV4NO2ALeUFLXgdTXMN9TC2O6sgl6mWYnoEnw6NEJyA2gnBXQDnRBpVxjoUhmwKwwU8a7zvmGr1fSi9jt0Nj1pMKUoJIsqRM3mywU3AxIMC3xw/9uTWVjsXWIYxpoLnB/hweHtchZUz+KljFPDI5Xb9Jr9EVJP1E5PWaoxm3qqhuo2yTiR9lI60IK6hWU4CrWiGhVJdy2eeSnm/hfrFVaNMsqM8oGPLn8XB45h2djFaz/x27z+Y/+5sDyzvADO5ab3c8t2qGL5nbZnqo5fKqNQzVHQlYV1IXIVNfhrge9HfvSB7Ld19PyC6+qjBVZBU2yQpthgyfrJVKlzW6xduOqvft3XAo+chWUiGAxy5coVXn75ZV5//XUmJyfxeDwcPHiQ554zOxF2dXVRV1f3wJpX5LEWzsIHj0t+8F8Y0JDbT/l7NgtsB7YLhFfCV4FXIfR1ge01CP+dgDfhta8o3BuFP1B1dAE3Vcnx+kLU9ZqmsEUYBLOFF52vyFnoQ6HXNkd2vuKcwRYlRcQdIi3AELDJUMkK2CQrjUsnGa5brtJllL487luzWHJGuDP3/2H1Dmc7o+yXY7iLREh70yFG3NDvNtgdD5ReBlWhIXyVrVZz+WhZa/pItjRcPytKHZegorHHMKMqV+2SPfYk2TIbISRKo9SGAIdliNb8900JfB9qxXrWTJ/OvOUj3WhuE9sZI3OurrDxoRjJfi8yrZLdWvqjyiGJUSa2VqaspFoLx5/bGWdy2EbsXOmEqG2unIj7xhWcB3VmI6VfSCaspPYnIFLqiIg3CkbKC5YIx119/IhjmHPKwpN8FI1/5biLg8L51GVKj+eUkuu+GfAr4AJpFTgTsth/ohODW7LUkJ6MKXTW6wRTdrbZk8jdcNZjoTlZuD+FlExEBLRhdmxOQ4/beODdmquhlszCgxY4P8LDibUSOM9nFxaA8/WvLWt/+cZsC/VayJdNXVOkEmRaTGrPbf/jxHzL7+xbKxbKLjTde21Z+8nTj/L/w4PRLijBCV77xB/NfxZzy6dqXfU9XdM45wLBoLWgIumRQqZC61+4r0XDU6XFFvIUpVpg7Kx0htYbgZSZ3btmObLgmOt1y280uBw8oiEtE5qm4XK52LdvH8899xyPPfYYvb291NfXoyjKmhjwy8FaHOsvf0rj7/84g9IuYY4S4wpVgg5YQbYJ2AvMgnBKUq3g3GeY46Xgd/5W5c/UwkQ14E3jVoo6JSO5rQuacx207isKxWV5lPosHvcshzzj1PmG2eAao9MoGLCXFA2fhLdEmq4y5f92OUNQZBHyJj69sM2UqrBbN18owx4Pp5zDXGgwxcqX1DgdxhBNOcNfWmbmt0s7QvO0JYCe2DiXWodobZvFK3RCZZPeTJHxphoa/RVeFygJ8wWlSQ2P2k+dUUg3+qTBbSV33kkBaUGTIbmkBhhRhtieyuD9J81YXypMHDKtMrLbzDrMWUqN/8kiKldmQ6kTIhCkN1emOiObzJe6bjOYzigEvRqkSg3rK7Lye02FBOfKqiLpnizZaz6SnspMhHjTBTrUG3BXSSMF/IM1ynPuAT5p7+OmEq3Y5tP2fgaVFAZFE2eZXqFLTSA9SYpv4D1lhtOmsmyST5MMJQU93TojGSdt23Veq8/pFvKCZgnuLGS2CtgswQ5KWvIjO96edHEtAudHmYXvTqzUWSinIq0lfB1Ld7nVmpZnyEf9izszediGb8EizchCWx5eHvrDiP6GY0x97g+Z+twfAtD66z+y5DYJ3VmzsLkavKf/FjApSPOwVRHeFUFpq+1+Wq5uYS3gnFm4n0dxVqEYe7WFMxGh7Ppoix5lFpaJtrY2tm7dSmNjY9UJWQiBYTyYklnVjrVWeO8umPtGhobt0oycCgmtwHEB+zEjqmPAJlB3S5QOkDFBMqGgvscAO/z511XCReWzpxQ41FSIKlzJKLiBrTkq0iSCnZYiZ8E7y2l7jItqmjAGA0qCu8ocrTmjPS5gv2FBE9BBaQYhmB4DYEhN0ZK4hJpzJhxSp7GuH7/vayQav4HuGCvZ7q6awsYgp7JzXFcLdJ/7aorH9Ln5zw7jPlLARcc1TrUEkEXXXkiDoKPw8tosE2SrNHobcCbYFenHlX2ZF9z9JORlds5cZUN0lo65MLrA9J3+VQfqY1tI7NtC/J/sJ/5LvUx+wo3tq5VefeCyh8CxOVLXCi+M+IEIM32Fsdkq90m6odKgSOSE3cPHIyR60mjXvBVj4rf8yKLmc5sO69zeJcm2lDqt8T1zYAhStyujYnJbBi552GooGGWndlMN8oTrdT5tv0UU04n7B3WGv7CZ3Kk5UbjOMyWVkCT9dX1YjUIzpHrd4Ipe+owOlmkctiQMGt0GyQRs3TnDq+2Fl+F8AkuaFbzoIOcYg20WPnZyfasgzZ/Xo8zCuwrrTUPKV0JSdh1ccn8iN8cV6xbyVKS1RvLKVRwNfuofP1ay3NPdQfJa9fr3y8Go6F5yjNHSgdFiGppa17bK9fbC+8xy91LVfWie5Wk8akVsdBrHxg1V16WnK6lexsGTC+4r9OqZimWWycFlnU8tjsJyYNHXtwT1WmDq8Ifm/64oXboKNEcrqdDnqXRsa+nkvFZ4lFlYY6xnw4q1zmLYbDD2txlOPq3BM8AuTMGzDdNZAMiA7hXodQI2moukX8BTIB3AV0sj7m85s2y0mQ/RHn+Uff4QmaKAbFOOjrjDluBOU2Hbg4ZgVGQJCZ0OGZuP8vcpBoqEsyLNhqQZ5fan49xzFF40970axxmgQWbYIs/zojpCr+FCCrijzFJW3ZNxJYsQN9mql66YUCZRpaTDSHDba3pBYZGl33OOx41r7DOmEdJgg5RkhGCLHuJJ7QwG38BarXyuqtHoOsuM3TTKMyrcakwz7u2jyT7M0cQIm/6XAv+7DsUqSQ84Ub7WhvKZLWT6qqei9YTKnbbSCPds2fOcma6Mwgil8vy0OQtzO+IMuiVDuhOjvjJyboTtxHbOYXiz+N+X5S9jKsMRhdvu0lRzVoCyN4kMV/JNjSYFvtaAUta7wiLhjhJBE5LP2QY57H6V/2kZ4+cc9+bHjCqm8aIaBhklww5rjEP2Odr9g2TVObbLwpfflTJK+nDsQmO07PXhikm8e7Oc74xCmc4xlhd95y+VKgEBUdjSZKC+jW+iR87CI1TDamhI5WVTl6IiFcPTU73qz+b/a+HeB9pcGGvz0hV2ACwe87lOeNvnlwUbC05LwLv6rrtGW+2Vi6rpFZYjdE69UWmsLweOrsrIeTWHoRqU4AQ3vljd+bLMjGObML9HcdnUUXvvgvur1WnYcfq/1jTOOLCwk1Mybja44LrE+XM17eNBQUlGUVKF4KNzZrgio7CYbqEa7Jbag1N7Ny5r1zXhUWZhmVjKGVhPGtKDOJYQ8OIv6zxxXMJOwA4EAAdmZDXP1BGg7JHgkBj9AoTEOAxctECR3ZgW0N0U4cjGUd6sm+FNV5gJaxRH7ryHcoFf1T1bEq1XRMH4v6gkeCxtOgbjwmBrKIYhBC05SsweS6QiQv26MsUh/QI3lDkA9Fw0fEbJcqgs8eORknPqKNNKH9uKHIYRJcMxfZZNxkDJ/m+rERCTXLVeoUN5lYPGmxzW/5Ie44u8arlBvxrhoF75YG8xIpxRL7BXK6UFdRpWXndOci4WYugXzUkv2+fE/Xiht0P2vgdZxcBPvm+O2b5mIs+YE0V8f4TI3dKJTJ90YjSW0oeUSOX5GeM2LrZpzPgFmbCdzBOVdCCA8e0Rzu3K8rUh6zzj59q4HZmremRYdbjmJ+avNFqMw0kIOeBNL/dmStfv1CEqCuc1qaT5gnWcacV0WloMz3w/hGNGmMGGPm7XDXLRO8qcdRyLodAnTIfTITVclghPuEPz/7ocZVWupORiZ5KB+iiGzUAYpQb2RN5Z0DEd5jiQAZGQfO652kTZDwKPaEiPsBAWcxYMw+D27dsAKE9/oHJ9x+YF92tsKdUUPKjsgnPnjqUHLYLO4dNIfyPSX+r57731F6vabx4rLd+6nkhNzZCaKlBqM8GlnYjXPvn50upCWpYdd//2QZxeCVzpuSXHqI3NJK2VWW5hWVj4PL//KmVTAZKB1Xcmn3nvx1e9DwBDtWOopQG9246DJcLmalmF9UYikXiUWVhLvBM1C9Xw9fdnTQHyUaBFms5CExBiPtJqpMD6Xh3CQKNhehouC1wpE7RaQtxWxzllpGlGEvfN0auZxtYwCs+7Y9ywFF7CbVJySZQat5etUTakTQdCqTON4StOhS2GRlTMUI4mCW+pN2jL0U4uK1HacrbiJWWahqIqN3v0FEmhMycyTCr32V7kMKQY5Y5SyTF83TLFe7NRUpzja/bvcFEZ5A3LDU7kulTHqpyTR86iC4Mp5Tz1RuEYnUaubtS/OwmzBQ5l5KoPa1cuOjFjx76v9AWn7YyTHK0DASOzdcSOhJn2lgp6ARCQ6S2dMGKjpRkgvSXDvW6N2TkH9JvXNzNVh7GhYBTrO+eI/1CQQJ2bTLi0korMWtEPmtmXxL45SKvMDVRmNGQ+WGkIZr5VGlX0kakYbysqz9Uu68xlUiMsCo7MViNDUuhslY0khUCVOifkXb7tSvKaK8FrrgS6LcE3vSEO1Y3RKLKgZKBhkmRDav56zVgL196jSaY1BfLvRgkqQBKeatE41LA+VMNqWO8+C4/wYLEeNKR0Os25c+cIBheOxi6EckdhuWj8wY8sOSb7wjdKPuepSJ7uxbnnc57qtJwVoYhGMn7owwsOk29j1k7bUSm21f7+r+f/Ls8u5B2F/P+zzdtLhM0rRcvRhe+J/vZTuJQCTbhDH6RDH1xwvCs9t6DToDaa/RNaR89jONcmql33Az+As2Vxqph/R1mmStdB12vrtSANDMfyjeq8w3DbsTQ98O3Ao8zCGuOdnlnIw67CV5/JgC5hp4B2zCxDC4XmbSFBdpOKe2+2aKGAe9biqqlMECEmDE4rc4SY5oiMEXRNUkeaU9a73HZcYr8+xe7gEPsiM7RPT6KXzZ8ZVdBljXDCGMHJJCf1GDtkhF5jkusiTDm2So2IyLBRFlKBDTm7NyZ0dhWVKU0UGfYRkWVCuc9RTeO4Ns5l9Qw7ytMWmJSZNy13COYq+GwyXMREmsvqFToNlZvqLL1ltKaQmAAgoETplvdBSuoMlUtqEL68Gb7aXRjsS8P7giS/N4R1s2kYh3xFQj2rQaxNQL4BmaEwsgnig9Uf5oyvNJMgZpzIBtP5Sm7NcLtRkhxywdZUQTisK6SPJDE6UugfCRDvqEOfa4Jpn6lpKUM4JxdIO3XS/zSIvruUgyr3pJDBIjrVN1ooZiJNlVWQAogWHcctTSfmhBbkhprFLg2ezc5wTzW3azDMaOJjXCFbpG3YqcMF1bw/L1ozGA2jqPXnoKj8rc8QTBXxkd1Sg8MZ87Z2AnGwZSU2IfmTU29fVgEelU59hIVRzVkIhUKcOXMGh8Oxqq7aS5UK/W7CQnqFEkiDbHPtVK5yFFdEWgnSX6tsjOiLjlUZuTC2j/5jyeeef/zMoo5CHi4jShOBBSshVYMtXT2TvW4oK0m7orKpcvEg0mLi5oUw7q7UziyF2dnZNWvOCIVWAV5vZYbnYcYjZ6HoWA8Sx5rhPXW6mUnwg/KURO2UJTQjFEH8mIoybikYkMMqDCaAFF1GlvtFL4yMkMyJUbrow7Bd4rRlmFElzRU1xo0mjTvuWcYaB3hCj6IUXccGqTPOOULc5KLyIoa4wC3lO3zL8k0OV3k+dUzD+rwyzmO6GQnqqwO/YRpR50SQdkPQZuhcU0qjbRGRxUkfo8oUhpBcV8dwa6W/6W7DSqSIKtUqzWMkRRaPHEGR0CwLLz+7NLinFMq1XVL7eVwPs8ewkJy2wn8oKu32eADlqA4zbbiSVpI7FJTdU2g325C2HNXnPWPowdLovrFVh+PVK39k45VVH+JdMfTDMe5lVDIzdtgehz5/6XZWG/HHIR5tKWQs0jbYVHmc8Qkvhk0npcLsRhfGttJH1dhqlGY9ZmzwnRaYdNCUUrivljkLgxsYotjhcOGSWbIixXY9wQZ5jliRg5HCy+PGDd6wTDKimN+3R8/SLtNkiqpuhZRJdCUKRWLnbs1q0uAUA+xppnwaRBSzlHASsEiSCcGP7szQsr69gCrwSOD8CAuh2FmQUjI4OMj58+fp6elh3759K7ov1ME7y95mrRuzFSNfCcmumYGaqNvsGtw5fHp+TLJpE4ktZhQ+//9SmNy4+qZl87oFaSCkBEVdlsMgjz655JiFRM61wDZ6b+lBi0AaS9s2HfHa7xfHxRfn/1b0zLxeIZ9RKMdS2YXFyqc+aMhl2GP9HU/T3/H0kuPG3dsYjy9dTawct27d4vTp01y5coWRkRHi8fiq7dJHmYU1xrsls5DHVx/XUXPVixSHRH8/UC8LZUUTgE3BcRxozmUX4ir0u8BIMCb6oIhesjmjcV6ZJhydBm0ASxm3/7ChEFDTvKb2sU0O0Wvo2KVBu7zNsBKhOVc687IIUC9Nq61fGaCp6DKoEu6IQuexAWUYv1RIW2CPYXrGaWGwSWbo1RPIsmfcJuGyOoSVBF5pISzSbI2VRsndsvSzhcL3uKWOcVLXuKJO4sud11Y9Tqasmdxb6nlU4yztn9+CZ+cMrmMT+L5/AmjBSJmOQGK0CSwKmY46nDvDZA9OkN0zRWi0LD3vzoLuw7upekfhjE8j9M/6CX90kOiHBtE+MMX0jihXR13oyZxouMGooDC5tiao6650DNS2ymY4WsrG9PummD1ikI15wXAjt5njrD1x5HSpc2OpjyO+2QW/foDkf++FuaLIZcyFcn4/cyMFqlJU2DmqDaIySJ/yGgPKHFZykQ4DvHKE161DbNXrGVJgj5aiSaZ40ZLgiKHneg/OACGQ9SAiQBSIcNMaBPs02NKmwwAQEmZWIQMut8RzCP7fzevfsbkcj5yFdxceBA1J0zSuXr3KwMAAR44cYdOmTVWPU14RKXRwgY7Ii2AhcXOtyFOQyvUK5VWRfP0rF60u5DBMq8s3vJUVOE817beKjiQP6/sKVXeyu1bm1Li/9LkVbVeeXagG62tfB8w+ADFXdUN/NVBmSjuJzvQcW2Bk7VhOr4W1RKCjNud1JRmFPE6ePMnRo0epr69nZmaGc+fOcebMGW7fvk0gEEDTll/J75FmYY3xbnMWAD7RkwZFok3njKcPY2oYAHXaPH6ixYrSWnQDztngtAc9k1+WBHTsKfOhv1enU2e10y0ykKMEKYbBoFpoDnNbmWNI3OBZfYQbitkM7ZaYRZWClNDZY9QBMCNSdMu5+e12Skm4qMHZtEiyO2fc9yuJ+YbGfSJIismK77vHcBARaQaUWXoNK0LCLe8MTfkualLSr5Q2bZsVpQb1WfUqnYZkT64cXB2VGga/tPDK6zYmLhwjZusg8cQ0UWdZ6lCqeDZOgW4n6m8ivTlOvMlaEhUHcB0MgrQQpQnqSrtHW7dOQUMzqQ0qiWA3sbluphOtzI13wzPm7+E4Mo4+WpZi3DtCItFMxFlpIDvU6sboRIeK5s+tE6AcN79/av9chSMid04jc6Ji3WOB144wryS/vRUj6oXz2+dpUTPpFFr0PKctN9FyWaxIbt0uA16xmlGlVtnCES2Onzhv5SpIXFBSIGcx1frgMfLUuSygoQkNFHvhHFMCsrqp0zkIiV7Bp51prA/B2+eRwPkRFoKqqmQyGd58801SqRQnT56kvqjs6UJYtIyqa3EDQWzeWtO5LdWYrRZ4QkPUD1+ifrhAA0oqtUU7t2Sucz6+Z8XHrobEvuqNsETxvKys/lnULdX7AajOUl3YUpH/9L3qmYX6rYVAzfTXv83017+9rPObOnsDgFbHLGFRiIS7jQhztpZl7Qsg27m16t+1INGxOpH8QlBa21FnJqquS20rbZZWXAnp7YAQArfbTVdXFwcOHODUqVPs2LEDVVXp7+/n9OnTXLhwgYGBASKRyJJ2pGEYjzILa413o7Pw/2zKYG/Ngi5MY8ou4DlASPRRyCueZacDunIR9wELJFX4+kGIOAAVpMZtn/niNAR0SRf3lQgHDJOmtC0UY1wpjVhbkNxQruDMGcdBkeKAYUYuhpXwfIbjvDLByVx/i/oqDdHOKMPsnRonLFIcNerYYWSx8BoD6jk2GqUvc2tR47FL6hiP63WkVYNNuS7N2wwbk0rhZaBKwUCZ85AVOm3GNSLCdEaiotIpaQm0w5/+n+aHjUMwvQe5sbJyRcqSc0SkSia5BT1R+cAm6nPGo1DheCFiomyYIbvFDrodRjqhvUgkLYCJdnj/PVJG2QSuGNBqZnH0cCvYSh2GzFxplgCAE1NIxQnThWxA1uHCsTuEDJZF8LYPo892A+DsmCal+8ztbvXCbB3M5gycqBtubsKn2+gx3iRmL61GMpzL6DiC4/MZolR4mmHtNonkBXYmTrMh+y0sfAW3zDtskpgyRU6ynIM19y+HWaDOYmp0LNCVlfxclVKybwdqcRYeZRa+OxGNRonFYjQ1NXH06FHs9soiA4tFsJcL73PPLbhuOVQk5/ETS47JDvSjVGmwNpv1VxltolYK0o2W99Q0rmTfCzgKS/HWlwNb71aMZz5YdV3eUXCfqLx2nmNH8RxbOAOx/2OVnYBvfOZ/lHwudhiqZRcW0y4UOwwrhdrYvKCj0PDWV0u6N5fgf/+PqovLuzjnsVRjNuX64hkt2dqJLRJYcH2g49B8NmGxrMIl9RiX1NVlTBRR/d5TVZXGxka2bt3K8ePHOXHiBO3t7cRiMS5fvsxrr73G9evXmZiYIJ2u7HcRj5v2ziPNwhpivZuyrYezoCiC9yUGwQskc9/NL2CbhKzAYTNvLqmr8L0KbEnBnBVQIGGDrx2ESb9ZLYkIeVrSRSVEnbRiEwoHjTQRW6XAaZ9UGVZCHDEKxqlVmLfAkIhyQBZK5F0V/XRIwUSVKH6PYSFjuQh8BRfnGRQvMKHMMaPEEdylIScUtkvBDbVUBPaapZ8DISuXnQG6dSstUivbt4uUKBMQS7hguUSzvMR+Lct9pUxYZghGf/8HIW/4N+rm9ZrdAZ7Sl6A22Vr0wQq7yqIbO4YhU9SBtc008pX6OMZBDdJ15nKpQEfBybF6k9ie6IMNHdBddu2PDUIyZ/QbVmxbS9PA2bALmgt6AUdPFCJNsCFVlkGwkfhIiJKFFg28rvlFyQ1F3/fiXriwD4qrLd3vpEnqXHCfJuAsPFtNhpewXWGLnkBtNJ2LAykbFxpi9GRuc8k7zC1XgHFrDGEIAkre2E+BKBdrepkXKMgEWDLQGsNhi7PdkuFzzkoH9O3Eo8zCuwdrQUMyDIM7d+4wMDCAzWZjx44dKEptU2UtzdnUgNlZ9mESORdnF1aK3slXFlx30fPssvalhxYux6l5Vm881/9koWdFdrpUZ+c+cQL3iRMVToLzSKVTsNZoPWaWJw14KntdJBTTuFwsuzDnaifoWh2VrRzOk08sWDZ1PVGcYcg7CjEKz9BCHZvzWIleoRY4HA42bNjA3r17eeKJJ9i3bx8ul4uxsTFef/11zp49y/3795mdncUwDBIJc/570DSkz33uc3R3d+NwODh27BhvvfXWqvb30DsL64n1ymL8WPA2lg4DZosu/0EN7JJUUe1pm5qF99jx7kxhywpoikLaCt/ai+tCF9zpgBk3GIKE0Nlr+DknwsQJ4qjCo9MxI+3XlQF80jSAroggXmlGgW1FwtWYyNIpp5iqUh2pmSn66gI4pIWX1PP0FjkZI8osLXIElxTs0e3ERGkU3SMtBBz3OBlL0WskGCsTRDfJSsNsk+EmJpK8or5Gp3GWeNk++eqzRG5uMf/efQ1mcy9awwY7ypr7zLaitBQcBMVWdrzeMv2AvhG2TmF/Ig6J1tJ1Ixth/zDOp4bI7hJk0ltAc2FpqEdYcnQwRwZhL6UuZOrKMh4C6MxdB2+KbKMKvkxJVgHA5osjGzZAU5EDd6gf4rlxnihkuudXWVQdki6IFbInlu4UUb0fv3QxoRSM9o3SnICa5X0GVIFNStwWOyf0MTRXKZ1rE205AZqGSYkrMnokmHSkFKBDQtCsJfjDV97ky6+8yucunqbu1mVu3bpFX18fo6OjBAIBwuEwyWRyTatO1IJHmoVHKEYmk+HChQsEAgH27t27pvtO7TxGatMeUptWR9+ppXzqalAubl4NFhM6h5qq88jzjoIeCmG9c7FknbX/OtbBW8RbFm5sthC00ZGKZWvZKbgci9GP3NP9a3uwJd5Ry6Uf1YKFsgtqcwtqXWHOm3vmR1Cun8MybRrzSmt71e0AAhtry14thnxGwWldf02coij4/X56eno4cuQIp06doru7m2w2y82bN/noRz/Kj/3Yj7FhwwYGBwcfmM35xS9+kU996lP88i//MhcvXmT//v28733vIxBYOGuzFB56Z+HdUg0pD03TsCE5ogTBISGf6hJWxLasWdUmh2wmC6og+rQd3WZg13MpPkMhcXUT9O2Av/9h+Msfhr/7fl77+rPIr/5TAuffx5g3zC6tUL6yXipcEWapsZBIsl+a+0oKjT05Y/+imKZFFtKIBvfxcY89RbSaHsPCOXEdTTXYoZsUJjulv9FtdZztxjQWKrmGe3Q7484wl1wDDCiXaDXmaDIKlBVBJT0lXx3JEAaXLa/RrRdRh4Y2wP/MCdYcCciWiZXTnaCUTghGcyEzYUy2gzfnIPhioJU1UxLA/zFF2iilKzk2BOH5YThqkExsAqNw3bRMHe7jJp/VOH4NmS3jOcc3FX73HJyu3Ivt8Bh6zIWnJ1ChpXBuDiKFA07mnIWGOUgUTeZbJkzqVA56XQC7vZAGVd1JtOYGpnU/nUZR9gTwSD8dRpqAiBNUNI7rKcZFlKvqSzgopUk1yHpMryCfDSncZ22GDVVOATYOpoJsxuA7LgcfOXSQffv2sXnzZpqamrDb7WSzWWZmZhgaGuLatWu8+eabvPLKK7z66qucPXuWS5cucePGDe7fv8/w8DBTU1OEQiESicSKRGXV8MhZePdhpe/yubk5zpw5g8Vi4cSJE3i93lU7r9VEzo6h6yWf9fsPRuRbDmvHRqwdi7ejbbNMLbp+rTBXX71pXQUdqa1wvtaBG/N/2xO1dVhea+SzC4rdnBPzFKRqVKTFoN+8suC6fHahGMVUpM6XP7/gtm2v/c9lncdqxM1GgzmH2B9/en6Z8BYCR+Gnf7h0/FR1jUIxFuoRMdH7FBO9C1DVHiBW273ZarXS2trKzp07efzxx/mlX/olDhw4QDQa5eDBg/T09PAv/+W/JJmsLHKyGvz2b/82P/3TP83HP/5xdu3axR/+4R/icrn47//9v694n2/rLPhu7+AMpjEyNzdHMBgkGAwSDpuR+p+LB3izuRmyMueyCeSeOXi9Aepy2yZU8AOKQN9TjzESxq4bpGfcgICpDmgbASzgdCDTNkjC3Hgr/vYeRjqG2WG0cluJs0vC60VG8yXRT73cSEhkSeS46pow2K77CKgp9hsW3lJuAjDBGU4Zh3hDKLQwRX/O0B1TTAH1BaWfrcYm7hVlCfqUUfzyKse1DnR83FbT7NT9vGkxX5IxNY3HSBMTY6RFhse1XbypppgWc+YOslaTYiMklqKSn6NKgMe1bgYBshb4rx8z6UQAu+9C4EDpD5BoghPnUAY2YMzWQ8oFmSLusa7Cjik41w2Hh0GWcUcdSbDtxDgVg+ER85g9Bim2mo6EUdnPACDmaIeOMdCrcFHTdbB5APoLE2Yq5YJT12BqLzgSJEKlWQzVEyGczWkVrNtw7R8l4ckUsiiKDmprSU8Oh6GSihUcMc/WWcJKB2Q2YrVlMLMCuVPCzibjLrCJpCGR2PDxBgMihV72mlBxYToKBqCAtIEAp5RsMwJ0yk6SkWEMhwOLkmazagdVxbEEn1VKSTabJZ1Ok8lkSv4Ph8PznzOZzHz/A5vNhs1mw263V/yd/99qtS74rqlFjPaIhvTuhpSSkZER7ty5Q29vL93d3Qgh5qshLeVQPgyY/uAnaX+1Or+8HNaOjWTHKikbTcHbBJtMQetMx34axxY2aNcCjee/CiyiVyhH2bMab+nFHVib8p6WI2aZUZIL9Ceo0uE4MTGNxVmpY1kIsRe+g+e55xdcX6xbsP/6JwHI/vzym761hu8uuj7buRU1YdJVU5YHS4Updxj0vcdQAsvrj1CrkzDtzc2nK2S5hrIPlhYohODgwYMkEgm+/vWvc+fOHV599dX5vi1rhXx29NOf/vT8MkVReP7553njjTdWvN+HOmT2TnUWUqnUvHMwM2NGgRsbG+ns7GTfvn2cPn2aD27qpieVpN+RhXhOVOYBepKgu80GYSEn+CVgiqHduyOoug1rS4aYBRBOoBOskzDrNDWmTiAliF7/AEbH55gS0/QYjYQpTcHGRJpThpXTIss1MUObdDEpEtxXQlilIEoh2mUIyWlxgRN6D5eVW/PLh9QAe4xtXFfGaZClL9M9up8zltuM5MTKDmnFwlZ26I3cVs1rMqmE6dVbiYs0F9QrPKO3ckvJmN/9jZ8F9wQc/BtmRSlV6XXLW7SkjhL49k9AdwpLNIymJmC6Snr/xGWUXgdGoMMMhhtRyLhh01uoZ3ajJ9x4VRdRAE8T5Y2PXZsmSNAD1MOJSZhuhUxRlkH3QPMITJfV/9b98MHLcLXyRac64+iHpmCrAVLglHaSUjNTyelrYM1gjBwu2ca9ZZpIdsv85/SJJLxRdMyeITCKeK6WNEmyEK8zP3uChJtz6d9sF9OiNJqZFBmuKdfZp38/G41hHFJw2mJmRxJlTePGxThmV0FwGfUkFIFP6pzUIlxW0/QYCc7XxdiSVTmQrf0lKISYN/gXg5QSTdMqHIpMJkMsFmN2dnZ+ma7r8/stdyJsNhuxWAxN00in01it1gpuejabfZRZeBdD13Vu3LhBMBjk8OHDNDQUIrh5J3G9Hcb0keewn3+hZNno0z9F58jrS25bi7h5HkKUGOCWyIxZsaxGPG57kzSVBSIaLbn3ew29Fmp2FMpgHbpNeudJUm+cWdH2q4HzyBHS165WdRSKKyGVIzUbqXK11geD9YfpDl1Y9nZWb+1nXJxVKEb96S8tut3Mez++rHNaDKOJ6nqOB6VXWAnyZVPdbjcf+MAH+MAH1q5IAkAwGETXdVpbSwOOra2t3L59e8X7fahnwfV0FmDlmgXDMAiFQkxPTxMMBonH4/j9fpqamuju7sbv989Hpoqb/HzckeE3ZIoYCsS9kKiHDTMQcEBSAU0FJQyG6UxoWQ+xnVlsExlIFwt128CfwC0HiUfrQfgxknYcVz5I8/5/YKMc565SqT24IPpolpuYFhm26nVMqgkmiPE9uot/sFRWHBJiiiNGK6fVQlTKm6uCc17pp1NvY0Q1jxMQpSLknUYXZyyXAdgW60SodQw4IniJslWz8prlIt+xxNmv72Psys/B1D5osMFrP8PAyX9XeiKJesJf/VkI7AUB2l4dWq/Dmy3MM6IsGXjmLjQdwMKQ6QMIQPWC04uy24reqeMcP0/sjV6cj90hmdle8Z0Tud4AiiWF0doG2gRMlfE/m2cqnYXea1D3BHT0wVjByKdxAnWzHT17HFpvwsiuQnzfGoUDI9j0DWSKfTt3hIhW2L/aOIju7IajQ/B6jrtbb6WYweWpDxCzFmhgjt4oKSVnCWQ76CtqwOaWdupkPymhoZIiIGa5pd6cXx8UpRUdxpQRwDzuQaONm+js0id41ZLlpN7Gi+o4m+ccTHmsfFK3rjnZUQiB1WrFarUuKRLTdb1qpiKZTDI3NzfvLLz+ummI5Z0IXdf5/d//fZLJJOl0mi9/+cu0t7fT3d1Ne/vCnNtHePtR67yRSCS4dOkSqqpy8uTJiuhe3kFYSOSeufbSqs9Vd/lQtu6A4eV1A64G0dVTEX1fDZajV5hWN+DnHjda3kNjlaIYtcL+ylcqlmUcPmypsmo9Rd9Tsa2NGaMslFWoAvvBw2Reqv77bzq1g6HTt7E47WjJymo4y4Hnv/wMsRVkF9YbJc3tstUr3el7F6c8VaMgTW188KLy9UY8Hn/H9ViAR5qFFR0r3657aGiICxcu8MILL3D16lWy2Sy9vb08++yzHD9+nN7eXurq6kpS2Pm/pZR8yuJAZO3QdA/cYTCsJu1l20yhg7NRMPhSqTos9S4yvgSirGIQjbPEDwh4yob61Awc6yed7OTuxEZe1Pqxyll8sjRimxBZjhsznDICWJnglJ5gE2/wqvq37DFKPfQ26eK8uMwV5QoNssBhvyz68EkHujDYKM0HYKdex321NM1tLerWdtczQlIZ5Kg+yyX17/hHy1dw5c7tSv8B6MuVEIw3w8gRUq/+Omi5iXxuI+qX/ox0oCA+dDVPQcPj8FwfOGIongh8zxg0mZkGTa9sbOO0R0D1kew8gvxBO9rRKnSi5kFIm9F6o+cSqPXgS1WOs5dy+lVvCFo3garCVjtCzb08O+/BJjcZrSFHYdqE4s1NrJtvwR4J1l1kHO2wuVDDW/QOmlQfgPoRdFcbSCu4e6FnCKU5CJlSZ0VTNJjL6RK806Saiyd+K4ZeiLR0GfVcUa/SYuzjvLqdiDhBTBwA3FikyqQo3INCGmSLmuapWGiWdwkpCoqUvKXEEQgidgObdHJIeXvpG6qq4nK5qKuro7W1lc7OTnp7e9m1axcHDx6ko6ODtrY2nn76aU6ePMnevXvZvHkzdXV1tLe3E4/HGRkZ4dd+7df46Ec/yn/8j/9xxefy67/+6xw9ehSv10tLSwsf/vCHuXOnNMOTSqX4xCc+QWNjIx6Ph49+9KNMTa0Pj/y7CYFAgDNnztDQ0MBjjz1WlQaQzzKtlT6mGPmKSOVINdZWyWYlIufYtsdKF0TDuap6pZjp2L+s/UatDTiUKu/FMiy3IhKAfuvagutWoltwjNxaetAaYjk0pTyClx68hiXetJmJzsfYcOav12R/ctPKmp6Jg8dLPruDA2txOovCbqnted7d8WDM41gs9kB7LDQ1NaGqasW8MTU1RVtb2wJbLY1HzkLRsRaDpmkEAgFu3LjBq6++ymuvvUYgEKChoYHjx4/z9NNPs3fvXtra2rBaK/mN1aAKwSkL2BHQ1AfeSXApYE1Be85ASxd/f4FFm4ONXUj/kLlIyUD3CHQ1gtICBNHtLmhrRx7WUWbfD/c+x8Cd/0J9YifWItHsMcPBy8q3uCRe4UX1z0hwlyExQUwkGRDX2W8Ushe90kZGZImIOLuMQroxKTLsk2ak9YI6QKvhwS9LIws+6eKqWuCW+jM2dOUOGWFGcnSh02u0w8TTcPkXCxumG3HVjcHECXjx92HkKHzpC+iRUhGz1qKbxrdjG7wngPq+DLgLegBDusBe+uCoStF1VZzQ4qQCG4Lmfr3D4DUjHA5HlYc83WP+ZjnoewLMVwgSG7EdugM7rkDDZii6duhuPN0zcOguNO0sLUHam7sfnTHQcy9i7xT4/Mx38RNg7fHj3jxbWmJV6KQwIGE6BGJrCMroNZtTLTyupXhcC9FpTBIVaRS5g6zwEBLtwEeAX8Ijn0MvoiG5ZAiEmemySLij3EORGjdVsOAkoqjYsBCxCQ6mH+rXC1AQOCuKgsPhwO/309zczM6dO/nMZz7Drl27+IEf+AEuXLjA+Pj4qgRir7zyCp/4xCd48803+fa3v002m+W9733vfN1tgH/zb/4NX/3qV/nSl77EK6+8wvj4OB/5yIOtfvPdBCkl9+7d48qVK+zatYudO3cuWBa1WLewGpSLnFdbDakcK2nMVk23oPkaMcTidCtLtlSIGbUWgg5KOMjee/9r2eeyFBQ9i7X/+tIDq0AefXLR9dZIsKBXWCWWK3JeS2T2F76n7eZbWG5fXGT02kOZrWQirDcWoiA9bHjQ3ZttNhuHDx/mhRcKVEbDMHjhhRc4UaWPSK14RENa4FhSSqLR6Lz2IBQK4XQ6aWpqYufOnTQ0NKyIy1ycWQD4TauNfZoFrFloGIJYB+jAljCELRB15enhAKSSwrRDN7aCHMW2wUXGWUw0DTBPPLULlE1vIAObkanNDMWOscee4brlFk3Syl3xOlER5wn9IK+pl4gXdU6OixR3uMIh/QB9SohLIleHO3GQM6mNeDOHidp0wGDM2wcKZITGdq2ec5ZSEc1uvZM3LGaEyC4ttGSDDLinCMkQfukjLGLcigJv/i6lzb1AteUmp+kDkP4pSJVWFhLtl8nIA4UFmyJYkg6y5SInV6CEupUpEzNl2YHqCaLHctdOzYCeoyVtDoNiRvxStmbmhb3zsODoGCQ12Itnzx1iSimdKb3JMDuPhvog2AtNg9AWx9qwgYh9G2r/FHp5ttreC50DUB9BavvBGYJGFfTCeStKGse2UaKTMShqJuquDxBXcuILbwDZWFlmcEDPMmAx66Lv0k/QYrQzl6vjbSOIRieQJiPqoEjvkhRDgFmtwyNdTCkKSWwIqRARppNskSpJxcmPxa3wDsi2LqfPwmqErt/85jdLPv/Zn/0ZLS0tXLhwgSeffJJwOMyf/umf8ld/9Vc8+6wZhf3CF77Azp07efPNNzl+/Hi13T5CGRb6jTKZDFevXiWRSHD8+PGamiKpqrpuvX5qzSosBLHMubJaZaSW6RvMNVTW+F8KXbe+vuxtyvUK1ShIAI6Z5Qlia4FucaBqKQzr2glLwaQg1YKlukMvheSx9+M8+83qK2toZOdIzBBxVmbci5F68kPYX/gbRGThnhe1YiEKkjozAc07V73/tcaDyiqAmVl40DSkT33qU/z4j/84R44c4bHHHuOzn/0s8Xicj3985fqQh95ZWM+mbIZhMD4+Pi9M1jSNxsZG2tra2LNnDy5XlU67q0SvYmG74eAWWRBW8NyBWBvgh21huNIMTRrzP1WsFbxZsDlhS5AM5RHx0s+aN4onkyYW6YOZbVz3+XhMpEBc5S3FdA6GlAmEFNxWBjiiH+B8LguQEhmuK5d4Xj/AP1iSkNkHc3+IkeojmihExwZaL7HX8zI+y3nuqn/LDqMDSRuXlUkQEBVxGgwXuw0vbpnkYk44mxEZ9mtbeUO5zezkv0EY5UVYIRbdAEoaDDvEdoItCpnCJC8bXIUKQEoKWrdgDU6SLHcWrKVp8lRyAyhJMHLXSyiom26i3zAjNP7uO4SNvbDhItiLaj8rHpy+cZKR0i7Kui+E0jxGzF860VrsITTbZlAE7L2H13WXaNZ8OebzL7p/AAJlPRwEsCsFCNx1d4h7ojBeoF456sZI7ZBEnXvAeq3EWbDYovi9BrLxFkpTmjmlSsQla+ou2oxmbioBuoyjBBQzRZme7758m4TIdQxHB2IYIgbShQLM5QSSceHGIzNEFTtOmSElXFh1J8+vz6O7KrydHZzzldHyotoLFy6QzWZ5/vlCxZQdO3bQ1dXFG2+88chZWAXC4TCXLl3C5/Nx4sSJ2rO/qromNKTUztV1k60G7cR7cQTWgLZRJnReCP223WzLnl90jHS9XRLehwt53cKGQ7XrPsQClM2OL/4KgR9ZOf3x7YKQBlLUZnQ3hMx+SBlfC7ZIgOQqHeeHGfF4/IHSkAB++Id/mOnpaX7pl36JyclJDhw4wDe/+c0K0fNy8FDzBB50ubq8MPnevXtcv36ddDrNwMAAdrudffv28dxzz3Ho0CG6urrWzFEozywAfFIWRcuFDTyzIDPg1aAjXNYnwAKGWbIUuYGSWpkAdFGofw+IZmJqAOvGNFhCkAlzI/sRMkah7M+ImOSwYRqwETEHRSa7AlxWv8JRbR+EfgtwmlFvR6E8mz9t53rok5xJb2FSBLikXuKy+hJdMsoz2S58cpaUuMwZ9TsMq7fYkirQiLIiCVO/CPpzOLsLdbTzkLoLpSF3LMOFr3WosLLzDTCKuJLtd8DqJeuuYtwp5dxRC3hKG7YZ/kLUPu7NoqoprG2V0TejrpJvnFUbUbcZQLERYuBsm4aN92G/gI0HwVUlkuWqboyKnizs2kdiswa+I9A7i+IfwtFzm9SBDnDmzq1pJ9gKAvawL0j48R4iR1VSLQvwerM9IFV6jC1s1zWGVScgEHIGXbQBcUwHAQrpgXGgBYSgQQoQAoGpUYgKN0iJho0sBj2ROQQP9vldC7xdzoJhGPzrf/2vefzxx9mzx3S8Jycnsdls1NXVlYxtbW1lcvLtT/O/UzE6Ospbb71FV1cXBw8erNlRABakIS0lbg63LM7hTm3aQ9ZZtyxR7YOE5mtcelCNaB86g9VIYzVWJ+5dCtah5Vd2qdaYbb3gaPARe+E76M6lM1rFCA+Ml3xOHnt/yf95FFORgGVRkRRXFRpujUjVb1hwXV3gzpLC5jx0y9pmeR5WrJfA+ZOf/CRDQ0Ok02nOnj3LsWOrC1g89M7CWmcWUqkUo6OjXLp0iRdffJGLFy+SSCRoa2vDZrPx+OOPs337dhobGxfksq4W5ZSnn8DLUT1nkEgnCinIi0o3hQpi5/kvkXMuhAoVTcxUKCmT2gPeJAox6ArimG0gLjdyU/8p6ozCSyuTE0zfVQY5qhcmuseMJqYIcn7ux0HPVYERDvBYsdvN9HA42oFEQ0b+Hwj9OejmxDOsjJIRk7xpOU1KpDli7GFUGWbEdR9brhHb1WQ9zPwrABK2A9jbcrW97bPUdV9FOXkZ5WiSup5rIHQSmQ5Tp6FkwVusXdCg3YyMJ92tVDhRepWagLbS9KrGPhRPAMU/ipY+hG/bG2TVyqh8xlN2zdUkPB7D3VVmmHe/Tmx3J7QdBNV8OSSsVV4SjioNinw3kfZ9OK3DyPRuhBLB3RDAdThKatOOUo2CYoGNpijO6R+BXvP+cBgjpO0L3cN20PbxltpPQNkGmClpJ/lrcocCJcyD6TgEUOQGhJRouXVO/NilBkLBQoKssAFe/o+7wYe+Nj0sXQHtQTVl+8QnPsH169f5679eG4HhI1RC13WuX7/OnTt3OHToED09Pcu+J9dCs1ALvM89V/I5feS5BUYWYA/XLnyvEDevEHfdpbz8pkSBIrRQVmE0tXJRZa2wtbVia1t51HS5CP3DAhSgKliOyHn6QnUHyC7XtmnXWsLVV7tTYi3rsZBt2zyfVcgj4zPn3Ijz7dEgPEgKEjx4zcKDwkPvLKwWuq4TDAa5ffs2r732Gq+88gqjo6N4vV6OHj3Ks88+y/79+2lpefvEMULAaW07/0xTEQg8CBCTQMiMiDfegca70HQbms6CbQTI6wvsUEHeKTZu/GBJkM6GweEn3TQExjUyxtM4tZ+bH3VVuctWw0z9zYkZkGCRCgPKZWTs/0Zm3mOeKxnwnIEWG3LzJdzum6D7EWruhZF6P4T/EMJ/gi/1ES4qV+ePoeSKhEasYfYltyN1D5mx/1Z0IUBtc8OJt+A5P3N79mE0HEBz7GeuuwvbYwNY3WHYcA42nQVZSFW6Ws+BPTdZqC5UZ1kpQm0DqBXcpLIfQsHSfQvREUfdHSazvazzcg7SUZiUhJrE8uQAtOxjbmsvist8Gaq+O7h3gk8pjQrpSgsoZS3XlUas7v6izylo9IA6hyISqA0vITdGiDdsIGZvBSrL4LLR/C5awxS0dKPIEVJKPdLiA6VKWUZLP6g/iiZ+njmxEzBpSTr1wByl3ogbCAJZWuVmHBhEhApoKNJJXHGjSgMdD4rMckpPsj+ovWOchcXO0zCMNQ8afPKTn+RrX/saL730Ehs3FjJXbW1tZDIZ5ubmSsavtorFdxuEECSTSc6ePUs0GuXkyZM0Nq4scr5WzkLSUbfqfYx0Pl6xbLj3PQz3vocNg0v3YKgGw7W8KHc1LKZXKM8uLFURyTjxnsqFY0OVyx40tOrlP9cEF15bdPVieob28PKyKYtlF1ZbCWmsY3WR6mxbLkgmlBVlFWL4lh5UI/7x9ipbNS8DsVisJr3Uw4aH3llYrsA5X9Z0cHBwvqzp9evX0TStoqxpcf+Dh6FM65/qO/isVkcCFRAgbwMzZvdI+yzY5sAmwXoLM/I7iukYlL/YNpYt03ApBsgI0tuFUzVT3xP6M3QZPzM/qgnTOL6nDPOYsZXHZBtj6R0Y0V8wB9jPIVvugG8rKDayFjfxLjeK/zQyURRVSu+FzHuIRP+A5OxVjOiv0pU+wQ210BE0ZpnBmPzPkO3OLclCyysktrShtAhTEDx/wewo9mtkXL0k93fi7hLgKtUGZDaUZg5aPKWN3BAgXKWGO+nSqkoAGfdR9O1b0ff5idv3oFbpT4HSi9UaQ1VTeJ8cQWvNdd60uBF7Q6DGEYduE7e3kFHKXu4ChHWwYpearygb1HYR1C4aHFeIt99E9+0p0KgEoPRVbE/LToSaIttlAQF1cqJwSNu9yvH+PlBUrHIKKXTM+2iUtGgE7lP6anAD5v4cshEViSGsQIKsUACBVaaQwopdJvlCcuO69kdZDZZyFtYysyCl5JOf/CR/93d/x4svvsjmzaUZpcOHD2O1WkuqWNy5c4fh4eFVVbH4bkMwGOTMmTP4/X6OHTuG07lyisV6ZRamO48QdT34gFV5hkGZGiXQXWr01c32s1r4o4UAxWZbpbFvrajoUB2qb3GD0LmtF+tjlU5ULbBGgksPeohgl0mU7OIlaoW68nfVcqhII3s/VNM43b5y+vZ0dnEB9jsVjzILK8BSkcdaDXhN05iamiopazo9PU1DQwMnTpzgqaeeYs+ePYuWNX0YnAWAnzE28p3MTj6ku/hv2QMgzwPp0goHshGIYhpwtyhwywGZRcggUDAofYaXhEMFwxQuJ+0b8alvAq2MsRO//H4ALopbNMk6ABJijiHqMdT/G5quQMtfQ2MdWAoRTskuUBMYG3vAEQBlMLeiHlXNlbqTLZD6v5iMfJFU7DNoGbMzcX9mKzL00+b1sPej9NyDlsdAUXGLyheMas29yBSVePtJHBsKxrW74TKaq7RRWtpTOcH7bGWNfVKdYC2iDvnTcMwFB3OPhbDg8VQp2SfA13ydpieHibSWcpP1uv2oT5xG1pnnq4sqZQ0tlf3o8yl8h3sQnMeod1xmtmkIIaqkn6s5MBYHnm19sLEXpxxiVimKXNjKxjtfBbtJKXPIFJA/xxlsMkR5RSqwzievYiIxr4Ws0+3ohPAZU2QZx2cM8fGsQktOZP9uyCyspbPwiU98gr/8y7/kr/7qr/B6vUxOTjI5OUkyaf7Gfr+fn/zJn+RTn/oUL730EhcuXODjH/84J06ceCRuXgZUVWX79u3s3r171Vmh9XIW3m6EGnsJFVVN88QDC47tt+1ecn/WuYU1NnP1VWiXK0Bwf6EkbfLA00uO148/j2Vj55LjloSlNs1LeWUk74mVR+ITeEgs0P85c7i2/hWD9YerLpdLZFGyQyvL7PinqwSp8vtsK9wDulo6R+prUKHKac0sPSiHfFbh1oT/gVOQ4MH3WXhQeOirIVUzqovLmk5PTzM3N4fT6aS5uZldu3ZRX1+/7Al+vbtFL4bj1PNFzXywf102MiIuYZOtZIQTkCAMYBqTLpLFIm+j4cUUNidxECcpNwB1INrQRAOICMgcH11YiVhvUW+4yWY3ELH9DM0ywnZ5n01GI1OKwlvivUTEj+XcyTeBPcBl4OmiM7UiuIcUh6F9F8TegGg9SD/2dDuJop8gRT0+/WliYgdIiUxvwdl0l6R1CFl/FFkkQE6o7QhNQxbdnll1H4oIY0izxn/KewxrwwWys4fJbqw09iKuygkpU26kC7C4BlBVjUxvCEvzANlsqWhMukSB8ZWDKpLYHhtjwlFpwAkxBnVWdMwXUIYNCOLIohqiVquf8leZat0FShxLc4Y62wDxxgFQupHFYvU8lOqTlb7PAJuKTQ6SpBCllEV12BWRwPDlt0+SEG1A3rHYgMZtoEo0SLRTb9QTFBaksGKTaaLKMF6pMScMFDQssolfz5hc64flWVoKtdCQqnXvXQn+4A/+AICnn366ZPkXvvAFPvaxjwHwO7/zOyiKwkc/+lHS6TTve9/7+G//7b/xCLWjoaFhzdL8D9JZyNpc1M5mr46WyH0CvsrSyMuFRCDK6KyKlsGwLN7DwTW0cNO0Ymy2DTGQqb0yUAXqmyBUyAQED7x/kcEPHxwNS1Nm8nqFtmceY+qVc8s+hv36GfMPodRUPnUtkKrfgKu4x0JR92Zlchh90+KlZMsdBYA+y9LO6DsZiUTiHeksvGNoSJlMhvHxca5evcpLL73E2bNnmZubo729nVOnTvHkk0+yc+dOmpubVxwJfBgyC+X4Xe0gSMgok8AVTIP9KmZW4TowhCb6QFwGcQ6EjyR3EJwDvgYESbAFIXVQ6iEnlHLRRsgewJAqCoPM8q8ZU6a4rM7xsvg901EA3HKIvPgVerHL6ZLzc2hFqUtPB7TcwuV4lYRsxZ7TMdiYwOt7hYi/C8P6GIboRDQlSbZ1QuMToJRGLnTFiatI62BeNCs2e9HEJEBv2UlDy3kynsqOo5qlEaejlK5jpW7+b6drmPrNL2PZ68X2+FVku42suh2LUsrxjDt2I4o6Fisija/rm0T91aMffnUCWWx7Cgs2Sqs8KWrlpKkrTjq3vILSMYDccBHr/C3sQZGl30OIyuiYT9wj4diAXw4SFmV0BmsTCNPp8HjOg2oaUoLbGAxi0ozuAP0YYoLqaEehAzsG4MKQIbwyw5wwQGQwsPG51NMlFZDeCZkFWPw8NU1bVvWcxSClrPov7ygAOBwOPve5zzE7O0s8HufLX/7yI73C24i1dBauWo+uyX6KsRyRc63Q7AVDJrpELf48FiuZas8mUGThGvZnq2cWqukVkvuLejHUVylSUcu5LdGYba3gfeqphdcVZRWSE9MLjlsKaXep9qa8IlI1LJRRWA7G937vqveRR3FWIeQr6A7XIqOwUnhc6zdXrVc1pLXGQ+ssGIZBJpNhZmaGN954gxdffJHBwUHsdjsHDhxY87KmD1NmoRgfkK18SttOs7SC9FIqPHWW1ceOAHF8uJFCghhB4X+aPHkmzU7FmHzoBDtAZEnZBrDpM+jCwRB/QZ/4d2jCfIBVJkkSoUBTsWJws+T8UupmmJ8IuhDKDImGBizNr6JYhnE4X0Bv1InadxVttQHJFRT+Mfe5klajKnMVy7yWQrfQest9/HUvI7aFWKhCp8M7hqrEcNiHaHLfw+qZoXnrC7gf7yP5RBehbU/jrB8hqmwxNxAgrUkocg501Y/bdS23Oktd5z8Q8rYTE424RWmNcz9T6EoSg1KxlCJKJ4eUpQGnMlOyrMn1HQa7tqA7NYRIExeFSaFVlqY2pOLCIgoOhMIsqnUEFBd2WUXMLFSE9SZY7hNx+wv7oQEp8hGoGeBbwAL0AdlKSDRiy0WsNBEiLgwQOuDgmN7O9+qFF//D+CxVQy2lUx9UVbRHePjxjqQhhWtvopXYWmpIhsoaOBZrD1aLLdaCFsJSpllwhgtBimpOg5ysLFe9UjhGbuGYLd2fGL4PkTnz30OA1qdKHctNgTffpjNZHMuphASljkKwvhe9gvL67kZeU/tI4LxKJJNJRkZG5suazszMkMlk6Orq4plnnuHkyZNs376dhoaGNZ/A1zMKulzH5D8bRxjJ/DA3Mx/CZRgUxMtWKCG0dABXiJYY99Mo/AUIk4LjZgS/PAfChoVhDMWBVJxY5F2QNlL0UCfPImQCwQCGqCs5l6zYgYU785+l8FNHITPQkDcmrS0kfb1ITxa9rMdBvXYaiRvJNdqMb4M8hE+WllTLqJVl8EKWNpo8f4+n4TVCLSlCni5mbK04ZCW/VpCG7hH0x8KkDloI7nUxs72XdK+drKcVBLi5SUiUGva6soEG8S2sRUazxR1GoNHQ+TVmffnyseBRSx2nBssYlioUIU1Ukg3qiybOJve3CPo7TVoUCaKURtDiZY4FgKoUJjub9QJhpZse+fcExQIRPlsAxX93Xjgu6Ad6gO2Y99MVzNdBpPr2BDFEIxFFATkL3CPLIG45Q4+u8IVkgT+cv7ffCZmF9dQsPML6YC3vO4vFUpOzcLf9mTU75nIQad1G59Arq9pHU+Dm0oOqIE9BCvWeYG7D3qpj7NkEWctqyVa1w9bWivL0B6qfy/BNSCXNfzOFOUOZLQuQrKHD4N3SRf17ly6DuxQyL3275rHa9gOrPl4e6ed+cM32BaBZK0XUQZ/pQMTt9dx1rj4LslL84JH16XnyiIa0AhiGUVLW9NVXX2VsbAyfz8fRo0fp6OigpaWFjo4O7PYH+8J5WATOi6EHHy9nfwDkNcwIcBaEvSi7YAH6kWJT0TIHCq9jlr4EDTdhzqFyHnKlx1KKCzt3McQwgivExQze7LcxyrjrVhnDxtcR/A+s/Al2+SJWGUUXBS5pSpR1Npb1WClE1v18m5DFjNxvMGxMKhHa5dewiVIqUkr0YBMFg7hOOY3q+BqGL0CsuAyholAvKsvJ1Vm/TkjdQh1nSpZHxGbc3MHOKJoSM5vgFUFhFM0yTNZxEaf9i9RZvgTuJG0dLzHjby8Zm1YKGQiv6ENXI4REZbnVrNyAVZbqJVSr2Uej2fsPBH3dIKBFDqAQQ6c0RRml2ey9UXKippNoV1/EpWSo4wwBcZUGqk/80tOPYSt2jMKYVY+cwN9iVtYCZDWxWwAz25IG6tipp3gz8fOEY7/DROxXuZz4WTZWEd+9U5yFxfAgOzg/wsMPRVEeqsxCtfKpy0V5RaSUrxCY8Ucqm5YpWu1i0WI0jVxY0XbLQXD/+0g1LF32sioVaSaAGL6PjFXRheVhsdYsaAbwnDq18H5Yuci5vDHbctD7xueXvU3qydqqHS2GscM/UPPYrO2dR8tZKR7RkFYAXde5ceNGRVnTLVu24Pf7URRlzZuyLYRqnZUfRuxjI08a24EpYAhT5Fz8MreCHMZuxOeXSGSOm57CYLtJ25HnMGiAnBEaFztw6v1InGRpJmLbgGQGG5dRmKNFvoIuvkGGFB7pIUuGtLhNVvwPDC5g535uP214ZSFSowk3dsyqCH5eJFwkWo4KM8o9oWik5DA+rpjaCgABDuU+DkLUW/+cOdsEacWBUkW4lbSVGnN16guEVNNpiePDUmaoK3IWt/Jl0qKUjyukjspNIpZGHGKSpOJlzupmziOJ1lUaDHNKM3bMCJXHcg8hFujqqqh4lG/j4g5ugihkyVrcdHpfYdq7JUejMhAyTohKPq/EhrfMCbCIVlTRh7QOMStiOLhKDA8JKicVwRugSOpEPgIZR7IHuAv8CXAechWMEAIoox7IMaADh0zjldN8LflhdhntC3ZoftifoWLUQkNaK4HzI7zzUAsNqc9vRkMXyy7c07cuuK4YxeVTl2rMVlyJbXJTUWldfz2RHY8T2bG4Y1FOQarmKCyFUO/ySvoWU5GKoTkrBcCZU2aVvhLdQhUk7HVLHtc6dn/pkyvZabzESTCcXjR/Yb5YTqO1WhC8dGfpQYD7/nnc989XLJ8XNy8TM499cP7v+NHlicYbEwvfLws5CrNeU29XTkFK2nxM6gt3gl4r2C3a0oMeIHRdJ5lMPsosLBdWq3XRsqZvR2RyPQyd1WYxvqT9n1hkDLNLcQTEi/PCZWQnKndIq4UIsU6e6z9IVviwE0EXEqv+Opb5EqsCXWnHIgsRbKeMAtdQ5f8kIIIYudtlTjgRRUZ7HCu6/CYevpFbUiqSjdNJE39BuMy4jNCBBdOQjwkHNv4XUvwhfvl5PPwRiuUyhv1bhCzOeV3CDD4slKYL51QfHbnsQiODhK22+fFZ/LRLc52fa/j5GjOWELOiDU+ZAd4pXiKb6zXhKOPue/QqXH6h4Fcv4xO3sYmbDAmFeionw1b5Jj7uklBvEVdfw1C+zoyjj5inUBa1SV4gKq7jYrhiewAbfTTL87TyOm2cxifuUGe5SEa4qWeaCWFOtgmhYqeQaRGcQWIACnMYCAYR3Ebh6yDHEQShoiZLEZ9X3sMhdRB2bFJnt36PZmrjW75TMguPaEjvLqwHDemae2UR/gchcl4L1EWqv3cWQi3lUx8WLOQoyEwhyCZqYC4omcV7HFRDanJ5Yua2ZxbutN01U8jUVHMYiqHtOLTo+mBDwdFcyklYaypSoOjYeUih0GpZuNzueuDChQsMDg4SjUYfmB0Yy2WxHmkW1hjrTQ1aT6zme/lx8kbm1wqlUDFAfBuYBVGPLmYo7ercjCAJuei/Nad5SKsadcZdHPLrtBlnqWeEBjmAizex8Q0S4g4ZLNSXiZAkVjxFmQuAepLEGKPT+BIeaUbHXTJMp3EGlX8kQtw8z2IIhRZZJG6WdkAQFlli6CREnEyZNkUKpSLKDqBYBrATJmu7ixSlTmdSpGjkS4SJEKaYJlSYIJu4y3CREZwuo9UIpfpEoasx3NZXMAzTQXJS+hLv1d9kSiQZUtz4Zc7JEZBVHCSYwUEAhRRWhkkIGyp3y45g0MjrTAOCG6QYQ2OQkBJmxiIRUoIYRRb9Rkrud7bIN5Al94GC5BqSu9jlFAiFZsM865LvSq73hMwACSw0gpwkKr7F/5v+51WvQzHeTZqFRzSk726sh8A53bAGtf+LEGnftfSgBwDDWZsBtL28UeUaobzXgjU0hTW09tWiQv/wzTXfZy2wjC4zO7IIDFHd9Es+VTt1aCEsh34E4E8t3NPjQePKoEm1/t7dAdra2ohEIly8eJHXX3+dW7duEQgEyGarUXNXhkTCDI4+yiysMd4OZ2G9MgurxV56eC3zaZAmjxziIF8G+nP0kCiFqj4CSOSWTZGgMDnNCpUMGpNKgCkxQEAMkZXTZCiUMUtUqVhgKatW5MF0HkaUMBHxHTbJvyEpzjCiRNGwksGNl8qXnVrExTco1QRkhAMHleJeZxVm2pTawEbry0TUQjrbwTh+vkZQ3CSv2ShGjEaa5U0sJNEYofhxSNJWkl2IVGkUByCVEAElwaTFNLjH0fHkMitbtXPcV/PZA4UGrbQCR1q4sXCXZl6Yz8VEcePDFA7aCOHjDDPUYyWBU4axcgMrAVI5vUk3/YTwl+w3iYpPvoImSi+UKmeAUfzGNEnhwCbjTFe5F6XM3TfiKgpZYuI2Hvkim2Uze43uqtehdPtHNKRHeHuxVo5qNWfhQv/CHP7lCp3zjoIjG19i5MIooSDViHLdQh5D/gMMePZVLF9Kt+ALDS77HBZDtYpIANQ3LdljocRJSBRloTMr016UnFeNDlEtkCefL/nc+tSRxTdYw/fQhjN/vWb7qhXFJXmLMePoWPa+7idW0bMjh75AQTfgdDrp6Ohg3759nDp1il27dmGxWBgYGOC1115bs6xDPB7Hbre/IwNQ74oOzmt5Lu8EGlIeR9jFx7RdIHM0I5EGvooghekcFBvIeSHvPQwK3EBD2KkvLu0pBA1lIteY8GAvo/6YJTMLSBf9lHEhsMgYsuL2qhSShYuqLc1SX1KPG6BNVlYomFSc2It0CII57OJv0JXX6eErtMrrtBkvkeIKYcwsg6Sya7KJGdp5hTkqObOOIjpVXDRhZ65kvUKatAjRJAbJivyLXFDHG2zkBe5ZSr/vpMWFWqQvsRLFSR9hpnNaARNZpmjI9uHmNWwM4+MaWWYYUgyC1DOBygbO42KWESqjng7GyHAbe1HJVT+30UlhkxDOUZb8crYiC5P7CiD7QIaxchU7d4kpCX4l9WMLXMPqeDdkFjRNe+QsfBej2FmQUjK0wm62xbhqPUrWtvJy38sROS+lW1gNlqtXyEOr0ohrrVBLJ+ea8YDKqHpPHEMoD/+7sRzL7bXQErxV8jmvV1CkUaJX6A9XVj5cT5T3WFAUhYaGBrZu3cqxY8c4ceLEmmUdYrEYbrf7HTE3luNRZqHoWLB+UdG1OE4ikeDTAx/EoWeBfElMKwYXYJ52ZEbuVZl/IEcBP8U0JbXM4JwTdoQsFQK1lVfJ0UuN61AJvQciVdKcURpxyLnScbTgzhvhwkI9ydKNRGVmwcBClxzCQhKvfAO//K9EgUFF0o9ORpxlUslQfHtHcVTtaumVszCv2yhFuixi7ynTEzTzBnE8pGVplCDNIDFZyVVNCjtt3EFBY7PRh2QGSXQ+SzD/lYmgqC8TIkiYGDE8lD+qEyg0GqfRRKkhqxIlS5qUUFBEPy3GJB5uEs41pHOggBAI0kyLK6hVelwIadBknAOukiGCRopWo5kP6bVV8ngnZRZgcafmEQ3puxt5Z0HXda5du0Z/f3WBbjHCLZWc7HJczu7ncraymeTbDU2urWPsnby19KAasJTIOQ9bovYeE7ViLbMJDxpLlU0tb9BmX2FGq6q4eQ3pOgtBCoV78dVnFfL0o1qasTkcjoqsg9VqXVHW4Z1aCQkeOQsVeJhpSFJKwuEw9+7d4/XXX+f06dNMTU3x+bEfwWmY0RqJDwUDGM35A18FptGEDxcRzIWl0bFIWV3/tLCwqSwLkBKlEf6I6i0ROSdx4ymq0T8tijj681BoleV0IEFd0bLGMqckuUDTFin6cPE3xMTLzAkH3qJjh/BjKys1msVORxkVySEzzIq7jMoMTQyWrKuXM7jlEHW8Or9MLXJkfAwyhRc/48yJUmPfxjQq97BQmvYW6FiZYCOvMiLseJgkSHkFCJ0ESYKKBVDIYqeOkbL9GDRzgWkxgbXoewpp4GYEVUIHY/gIMC0GsDCNIjWatSARYdLLFDkGIk2dUcrpVaWOgyGC6iQIgUcKdCH4F5nvZ7l4J0RPHpVOfXdiLWlImqZx9uxZ4vE4J04sHU2fUmujVaymMktxJaQlx9aYXRjyH5j/uxoVqRgb5eCS+8vWtZGtayOtrr5pKsBc534GehagJz3E0PruVSwzjhcqXVk391TdrrwxGwvoDJZTCalRnyLs76pYvtxKSAthuXoFDSs7/MsT17+dyGcdent7F8w63Lx5k6mpqapZh7yz8E6YG8vx0DsL6106db1Qq1Oi6zqBQIDr16/z8ssvc+7cOeLxOJs3b+bZZ5/lscce44fa3s8BmX8B5I3rERA+kHGQ30TI29jmDfE+CrQkSOHBX2ZIR8pujRkaUIoyEDpWmiiNSvjLotQtspL6ExQClQwNDNHBW7TxMtYip0JXSjMLM/gQZcJoi9SYEQEauDdPdWqQxRElQX0VrYOvLKvRzQXmhBUpBGkGsRPHR5CNvE6IEYLCRgSNzYZZhSKZEz0LaSAYAlTsZcdxkGACCzNCo4u3ALCTZJvRj4vrDGJlGIGbq1gopzRILNzCJUuvq172/Vu5SIAsKWHQnNM3ALTJ29QxQJu4jZVpbDKMnyEk4zTrVzDm6TQGujD1I7PKICq5bqoyidBvkMxpHZy6QlRJ49Ht/Mzsc2QymZru23eawHmhBo9SykfOwnc58tFCr9fLsWPHcDgcJeuvup5Y9j7TWuX9FLSZQYOY8FesWw4i7buwp+ZWtY9qCPo2Y8ilzYW3KwovjIenF0YtsMQLc+XEl7+xyMiF4b5/nmscrHl8o24GhvLlx4vLphZjKZHzyN7KHgxDe3+AoUP/pOZzycNGeulBOfTFO7kfW7oYwHRseWVtn+1ZObWwPOuwe/dubDYbg4ODVbMO651ZGBwc5Cd/8ifZvHkzTqeTLVu28Mu//MtkVqDfeahnwfXuqgwPh2YhnU4zPT1NIBBgZmYGm81GS0sL+/bto76+vqpx87vaL3BM+VEMoQI2FLIYTIBwAGkkZ8nKJvzEMXAQzdFS8rCUPbSzwoFFxtGEeWNr2GmVIaZEIQtRL7NMF/1ElXSmyhuyUwZJyDdRlBRpnEzJTqSisYWr9LGPjGyluMKqhpUmGSAo2uaXbeEeQZIMFjWNy1DKg7XJFOVtAOZE4QXdI8e4XSQAjmJlC19HQyGDkwYshKQNQ9iZE0FaeIFpnsRCnI2yj0HhxyozzNJQcpxmhhnJOTD9aOzmBe7Rwl3FQt5Bc5JE5z5RDBxsIpWnO8kpNDFGt9C5TyFyGMZNqwwzJfy0c4GJot9qilmcRPExjVtcJCQtGCJCFkmM9nktRNgSwSpvYKeLtFQglymSSHQ5CqIFxEU0Swq/3kFYcaDljvPU+E4uX72MpmkoioLNZsNuty/4752EpZ73R6VTvzshpWR4eJg7d8z69zt27Kj63nVbkxXLVoItnY305RKIrh3HSdx+EzB7LdjPv1AxPmxrZixh1v3vthX6oszZW2it0Vnos+1hS+Y6AJZUDJbwUxqss8xpdQDIBXqsFGPUt5uNkRtLjnOGJ6r2WXgosE4N+ZYSN/s35zLQQqlKp33Q8CUDRJwti45pjdxjxt+96JhyvUKtuB/rZKXmYDTtWHT9WmnSFEWhvr6e+vp6ent7SaVSzMzMMDs7y+DgIP/+3/97WltbMQyDUChEfX1lA9e1xu3btzEMgz/6oz+it7eX69ev89M//dPE43E+85nPLGtfb/ssuJjh/G7VLJQ7QXmPMxAIEAgECIfD+Hw+Wlpa2Lp1Kx6PZ0nHaS87+KCxn6+o1xG4kcxh0o02Qa6qT1wEcckgCWHDrJRUqMU8U1KJSMMqA2TFBNAMtAJevAiKSSuGiMN8DwdIS3uJ4Twt6vHJJBFhVgpyG/e5rZybX2+XBq1MYGUT4zTjJMEUjQg5iyxKudbLFMHcfptllD7SdDDFTFGn4wkh8Mk4kZxzY5F1Fc7CpHBhl0kEKnMMUDygWaYZEDacZPBwkQYczAkLLdKCDTs+3ccGrBhiO7eFBijsZYKLovRFlCFN3inoJkgfWWzUkck9alYyOOVtZnPfz8klUjyNXYZIiysA3EdlhxwiSB1pYSOJDQcBNjDAeBm9SgcaOIcqx9BFmhmM3PcStGMwUfRizgoD5ACIcqH5EMj7eLGSIYUigtQZNuZUgVW6+KO6T+N70oWu66TT6Yp/4XC45HMe58+fX9SpsFgsb3v24ZHA+d2J1dxXuq5z8+ZNpqenOXz4MOfOnVsww72zy8et4UjVdcvFls7GqsuXas62FBRjbbnkWUOteLcuhbTqwq4XMs0pmxdHJsqZ9GM8x/9ek/OyJUJYwpVV76pB1hJZdT/4LIk8+TzU2JAtef0Gzj3V+1toOw5huX1xwW23TLzKXMv2FZ1jOcr1CkN7V19u9UGh3FG4P+UmnpRMTmXo3WwGthbKLK8W+axDR0cHuq7zK7/yK/z5n/85ly9fprm5mePHj/OjP/qj/OzP/uwDOT7A+9//ft7//gLFrKenhzt37vAHf/AH7zxnYTG8W50FAMMwmJ2dnXcQUqkUjY2NdHR0cODAgYp0dy34nPabfEd5hpjwoRBCIZVrpCbJv91t6Lm6QHcwxc4NQCPgw3QgpoFJLCKNJtNIMQjARplGsIsGepnFjPLHRWkUeZZmBEZJFSQ3c0SwApfJitvYEGRy69NCwSJjjHCVXuoAg/vicVplkqkiR0ChMNk1ygGcSpAhKlN53TLL1dwkNqooKNIoqSctUehhCLuMc7msGoWHAHYZIyhGmELSJrIYNDAldCBBt5JkUMyyUV5mp+iiX+4mJJJQVGJ2C2P05RwFB1nCJElhZQv3iLEfFZ16bhEoOqcQaXrkDfpFYZLbyhSqnCaoFIzUMQEKW6n2yGqMkBUJAlgonsWlTIIolKtzSI2UmKNQUheQkjYmUaSVgGLSn6LCpHRZpcIfp/4QXy6Do6oqLpcLl2thDrKUkmg0yvnz5+nu7iaTyZBOp0kmk4RCofnPuq6jKMqCjoTD4cBut2O1Wh/Yyzx/vo8Ezo+QRyqV4tKlSwCcPHkSh8OBEGLZvRbOxfZy1HNt6YHrgHvqbrbq1SP8fbY9ONQ0WyKV/QgGPPvYHLtasixrVHecp1r20hp4+75v3NlIXWplTpuoqwctu6BAV3f5UBO179tz6hSx06crV1is5nHKkM8qiEXec7Zn3kPmpW8vetzFxM1i8A4UOQuho9+36L5qgauv1DlZKqsAMJVtpslq9vHRsNZEQyqnHlV7XU8nl6bvvXlTpaNK4aUHOb/koaoq3/M938OtW7fweDz89m//Nt/85jdLgmvrhXA4TENDw9IDy/BQz4LrLXB+0MfTNI1gMEgqleLq1auoqkpzczPbt2+nsbFx1UZJI838lP48/9XyCso8038UsEKOIjQnVDwyTUzYgXju3xAgULBj5IzdJDbaRYyJ3GcFnRnxBl45hI0NuLUeRq2tKBjznZ2zwkIDM8xSiJBNiCzwEhAkI1S2EuNeUcOzehFnFAf3mcPKKzSyCS+hEmchnNMxbJV3uK1IthKEKs5CWhnDIn1oQiGLlY0iyCilqVOP6OdcGS94K6MoYpiBIlG3VkapGkTiJcuogFHuonKPBKXVTBwEyWcVtjDBjdzffcBu+tCIUy2GFBb3yDdG28kw/QzQJFxQdJ00YLMMMyBKo4/1xAmRoJMIAUpfAJMihle6iQpBm4yDTDIpSh0FnwiiEEPFhkDM0wsUqfKXyT/n/fp7q5zxwhBCzHdib2mpnrbOawHymYhUKkU6nSaTyRAKheaX5QVixbQnh8NRlQa1mmfnkbPwCAChUIhLly7R3NzMrl275jNKSzVmW8vsAlQGrKY9m5e9D3tqjrSjrubxfa0Lay+CvtqPP9Wyl/ahUsFtU7ifoL+6iFc31iezaNS3oCRjFeVQRd3KqSCe554n9sJ3lhyXmpzGs2Xrio+zFJbq1iy7t5vOwhpgfO/3UpeYWHrgAtANlal0M6322jpbT2ebSz4vx1H49iU3x3eZz63pKJS+x+8PpHms8Zuo6smazmUtEIvF8Hg8bNy4kZ/6qZ9at+Pmcf/+fX7v935v2VkFeOQsVGCtj5dMJuezB7Ozs7jdbhRFobu7m82bN685DeNX9c/wVWUfE8JKSmRRiGLQDEXGb7yIqy/I4CaCT8aYEY2kaSWve7dLb653A0xjR8oZGkiSZIo+6ywuaaFXeElTh46bBH580kCIPgxjFrtyn8myTshaWf46W3QLZjHw8PfoHC8ZM4UfLxHixDjKRe5WIdc2ESPABbaJQe7J95MVKl5iUOQsbKOfK/Ic3RxmUJiGtVPq+MQVLpQ9ChWvMgGbSXA1d2xdSDZwlynMcqJemeGOMPfRTWjeUTA3lVi5xE16Kc/fe8kwgwNFSraL+wwwjgCCIoEDF6miLI1d6hXp/zhhNGYZRKdBZpkt7psgoM3QqRMzuJlCFxoB2Y6Ru+ecIoon5yDpIsMGo5ExJY5d2vli4q950lh5jfbF7mshBBaLBYvFsqjYyzCMeSei2LGIxWLMzMzMrzMMA4vFgt1un3ck8pmJ4n9Wq7UqBXApZ2E9Ik+PsLZYzntVSsnIyAh37txh+/btdHZ2lmxfzVmQUnDV9QRLtNFaNvIlWrctM7HcPlgw0Kf8pt6pLl17Z9wtU68t6jDk0WybYTpTnS710CHXkM2oLwpa+OoACHcXSojW3Tf1IVitNZX/rH/Ps0Rfe73m03C0NS89aBE0/8SPr2i7YmqS7K6kIIWVRlqovXRqXXyccdfWMrVjbbjlewKjiPmlYeXSZAfH2hYvRRzO0Yhm4jaaPMsT5eYdhWJUey2s5/t9rQTOP//zP89v/MZvLDrm1q1b7NixY/7z2NgY73//+/mhH/ohfvqnf3rZx3zkLKzx8aSURCKReQchFotRX19PS0sLu3fvxuVycebMGVwu1wPha1uw8M3s1/ge/aP0ufLcwiSFKkkSMLARwk0CZ668Z4uABHM4iCDxAXUMYqcJjSAWkkKlR8KwmGQ7fqZpJyE07hPEwywzmJSkKFAnxxhXTG59j3TTX/Q9B3DhI5ujJsEYLigqMarKEWbZU/Kd6mSSLVwkxTCXGKIXH2EKL/sGmUDhAkGRoVmO0CX+gRH5PehY543rHdzjHhfQhURyFZUn0VE4LC5zVQ7gF5sJFz0OAdSS8zSvbenL5xoJGogyi5ceRrmCghWdtEyWlLnbw11uM0k3LQyUOToSSTtJmuQU98T4/HIBtKAxXOR0jIsIxc6PgygpQvPnZRdzCklItgAArphJREFUmBoTsElJuxTExV08MkJKyNy1ihDEj1OmqC/rYaGJORqMBv6/5N9yyDjASrFWz6yiKDidTpxO56LHymazVbUUkUhk/m9N0xBCVDgQmUyGubm5eUqUzWYr0ShomjafKXmEdx8Mw+DmzZsEAgEOHz5cNT2/VGYBSrMLw+HlpfidO81yrMlkkkuXLpn33xLOQl7cnMdE90myRe+KWgTIxehrfYItU69xp6W0n8Fysgrz57LpZP4kSkTOxboFTbERczRS3lanFkTVerx6aT+FutBAzdsHe45jKdJxzGwrOEmNV/6x6jZ5KlL4f38FAIuzlILrfap6Hwjbh38E3qwUqCvRWXCvrvIVwFbbfcpkbDXDb1RWDARKSqIvhVr0Crd85vXViyhsY4mmhYYvCy/daWVP1+IX4M2bhePeH6ik/aynJi2RSNDe3r70wCXwb//tv+VjH/vYomN6egrZvPHxcZ555hlOnjzJH//xH6/omI+chbLjrQS6rpfoD3Rdp6mpic2bN9Pc3FxhbDxoUWcnPfynq7/I7x/8LZLWIBExwZz04VBixMliQ1Ju/hiAE40INnwEEQRpxEYLHoI5A9cnLIDGHcIcAqaoY1y6kCKLAwsOqeFhhlFReHgjYhAXXSTmnRVBh6ERUcwziGKjlThTuTMaxUVWfJsmAjiJEUAjJGBMQoxhNOA2EXYyyi02Uic17OINJnKzjk96OC+m2MGLRDgFwC5uc4tL823ohkhzmJvM0EaWS2SEwT7DwltlAYZ2kiXOwmTZVdOAbu4wyxEmRRSwsYsJrojCY7WPu9zNCczrmKG45IiXNBu4QitJ5kRltMFJluIStxGRpYMYY7lsTUoGUYvEymGybGGOFBlmyDChSHqkPu8oALiZJYNgq5ghLu1EcpmjesPHk9oH+FT6V2it6P2wfKyXcFkIgc1mw2az4fUuLEhcSJxtGAaBQICJiYn50rBWq5WXX36Z06dPU1dXxx//8R9z6NAhNm7cyIkTJ/D7Vz/JP8Lbj2J9wokTJxZ0SmtxFlaLPAWqpaWFXbt2kbr7Vk3bdbvGFlzXJ2rvxQA5KlLZdBs1vHiV0n45zbYZqBKAn2rZu6zjLRe2TIx6IGRdvCrPPFxeDHvhNw32HF9kcCWyzRuxTo+a1YeKC24sM7OwGGwT/Sy7tlFRRSRfZOHfP4+JjsO0j11AU6wlTtJCcAfuE2/pXXJcYsvi9Ke1QL0jQShVXSM3mSilkF0fNj3s1gZZQkFaCP/mg1Fef339Mwsej2fpgUugubmZ5ubaMlZjY2M888wzHD58mC984Qsr/r6PnIUVHi+TyRAIBJieniYYDGK1WmlpaWHv3r00NDQs+YM86O/Vkd7AX018mfb2dqJE8OLj75Xf47OW/0C/MPMMxY9SUIJTgIaGjsCCJC0yqMyyHwtXcJPEiZk7gASzpJihFYUGWY9FKAwhGC0rlxrE4DhjxPERw0oIG3FZGjbbaHiZymUiMkKwU6a5I65gZSNpVDxSw8Io0SKjd4x+2mQ9Vs4xUhSemhVxQOW2GGIrcU7I7bxBXwV95xpjbOU+d3Jyb0UZhzIj2VU2I45jp4k0QQpRpZtEcclRpoSgm/tkyJCvELWPe9ylwO+cJggUvH0/Y0RJshNQCxr0eejFQuT5bcKM4UHIEPUiQBM6Dgwy0kpYpEmSxo3CtFDYIm0kRKJkt0JADzNYJLhJ06p38r7sR/jh7M/SzOojHrA0teftwELi7OnpaXbu3Inf70dKOU95AnA6nXz+859nYmKCL37xi4yNjfGXf/mXHDq0skny1Vdf5bd+67e4cOECExMT/N3f/R0f/vCH59dLKfnlX/5lPv/5zzM3N8fjjz/OH/zBH7B164PjO3+3IhQKcfnyZZqamkr0CdWwUmehVpHz6Ogot27dYtu2bXR1da3JszMca8FjW1g8OWDdueJ9e7JzS2YuUnLhbCDAzWgPu7yLU1CuKkfYZ5xf1rlp/ibGmg4A4Cjq86OucUUoz3PPz/9fi25hpWh96ujynYkiLKVnCNi7aElXb4qmGBqGYpn/e7UYmXPTWRdnR2uay+OlpueNSA+7fdXvh5m4reryWyPVl5ccc8ZOcUGPn/+hDP/lS+Z2eYrpes5Va+Us1IqxsTGefvppNm3axGc+8xmmpwsE67a2tkW2rMRD7yysV1O2/PEWMuIXK2/a29tbU3nTWo6zlsgfw4tZw/qDxs/xeOaj/JRtC4NCzvdzNk8K6oAUBinUeWrLkIQDYpqgtDKEF0VEMBAMSwWv0MkKgylmkEAzXubKaig3SZWUCJJlmjTgAqQi+AAtfIsODETFtOMii0ESFxLBRrqY5aYofVlF0TgoL/CKUloGtB8VD5IYgnsE8Yk4UFnDextxnATnM7j9xBHIkkkwSaWB0EmyxFlQSRIXr7CDUSIkSQOPyVYc0sdbynjJtkGSbCDOOG4aZAZNjNAIRACrqMzHh2W2woGIkgAkzWKEZ0kxKqERgd+wERcWJGYTtx4Ed0S84tragI1Ag3Sz2+jlXyWrVO34LkLxc1hMUzp16hRPPPEEv/Zrv8Zv/uZvronBHo/H2b9/Pz/xEz/BRz7ykYr1v/mbv8nv/u7v8ud//uds3ryZX/zFX+R973sfN2/eXFF1tO9mLPYuzvdPqNU4r9VZWC79KI87d+5w6NAhGhvXVgsQy9gXdRjeLYiq9dRh0pDyjsJKMbP/vTRe+Uey3QVnyjo9Sral0PVY2hd3hN4NWAvnAAoUpPtBH4piOgwHuwuB1LOTPQvqFhRh4FRr41jlG7G1NhTe5/nqR3lh8w8dNQOdP/9DZkAzFjPWXY+23s7Ct7/9be7fv8/9+/fZuHFjybrl2qAPtXLv7YhOFl/AfHnT27dvc/r0ac6cOUMoFKKjo4OnnnqKEydOsGXLFrxe77LOdT2+10LHaGQDH9V/jCeBrRK2AfuBgxK6pUq9tGFDJ38ZpAAfkr0igIqFjpz5mRWCYr9UAPVlBq8FyTYxRxxJd9FyXUh8TPEc9/BLjWFR6hDOSTO9GCLMLjnATVFZaeS4IZkUE2ZEvuSLwxZZMOZTC5RmSxFjoGhdBIPtZeTPSVkZuZC5OI+PLPsZwsVNerlHWy67IYBRMYW9UiINQEuu43MngyjAltw2ujCwln2XiDDwl3VNHZFZ7IyxS4aYBTYI6ELSJLJoSgxdiYGSwC7ilLJqAQmPGx66pIsO4AfSv1/1HFeLhzGzsBAWO9d81aa14rR+4AMf4Fd/9Vf5gR+o5PlKKfnsZz/LL/zCL/ChD32Iffv28Rd/8ReMj4/zla98ZU2O/90OwzC4fv069+/f5/Dhw2zatKmm+1RVVTRtaePpfXtXZmCdOHGiwlFw7ShQZi5MLt21FuDWdZNSNRSrrA95T61en3+58GTn1mQ/eRysv191+UVb7Z2xO4ML9xdYS+guH/XveXZF22p999b4bExYotV1B3kEGncsur6abmF244EFx29IFn6vademBce1BG8tfl6RtWneWU2vMBupzax9O4pXrLez8LGPfQwpZdV/y8VD7yysNw1J13UmJye5evUqL730EpcvXyabzbJ9+3aeffZZDh8+TGdn56ojfetd5akYz+n/no0SjgqzOKdOjpYkdJ6XTpxSlFQNiANZsjxJEJ8s8PadeulN34fG5qJo/ClDMp37HJSlQfIEECTKPu7jFVlailKFfYqgSZoG2lWStJfRcbaRYVRMEhVZDsvK9LJHFCo83JESV5lg64guqCNFrIyg21RWGWJOGLSW/UxTWDkhZ9jJBfwMUkcMAUxJcMrCN4xVND7LLSdIm9SIigksFEu7YSelESsBdJU5YH4ybKOfLqxslm6aMR06o2ycENBRZge1CtipxNhClk5jO21GaenXtcLbeW8vF4s5C/ms5nqUTh0YGGBycpLnn39+fpnf7+fYsWO88cYbD/z473akUineeustIpEIJ06cWFadcVVVH2iGe7G+JctFe8uD7wq7EjSFzehxWnVxNb64AbtS3Ko7teb7zDbnorEPoGuyJR7GmKmthOhCEOHFnYVyaMryijXMOZdHVVkMhgEfPGDOU2cvmnNtOlt4996IVC+vWw0Tc6azcX3YwdXB2myx8mfYMIx1b7i5VtWQ3g48chYwq1AMDw+TzWY5d+4c9+7dw263c+jQIZ555hn27t1La2vrmhkN6xV1XejatbMND534gRPSpKZ0YjoMISXMM0IiJDTkotr5OhMZEaG9yKANitLUvADacgbzMdKMKIWMQFjAtiJHoy/3f0zEqecOR4wInYYyv6feXOUETUi6ZSED4EDiJoSe0y+4qSynFihySzQh2a0XjqtIyRxTjFd5+YerlJHrNkyjv0MmOc4gyKvcENdpIE1xtWlNQK8sOE+jQqMao3KEKPuNMVLAdkp1gm1VqEju3G/QKGG3DNMowmxCUi+yWItoRpoApezn9hddbwE8j/nA6xh8ILWyigi14p2SWYCFzzUfTV4PZ2Fy0hTBt7aWRoVbW1vn1z1C7Sj+TUOhEG+88QYul4tjx44tWl2rGlYjcD4XW7no95uxJ/lm7MllbaPrOo9vXVsx9q252jIbxbgyVdA/jfrWJquxXiimINWCvH6hZNmpguNiHF9dB+5iJK9Xb663EmdGeQAOUB6Bpp0Emkqv44cPlc5vxY5COZZDQcqjmIJUDZqmkclk0DQNwzDQNG1dMwt5KvtihTgeZrztzsJS9dgfhLMgpSQcDnPv3j3OnDnDq6++yuTkJKqqsm/fPk6dOsX27dupr69/IEbPejhBS533h7K/j5ACL06+H8gI6MAUsbQAT6LwGBKnhBkgf3trzHIyR8UZUjIVNZfvEeGYlMyRrODL24tEb3NAuzSNMB1JozFHo3KLZ41Bvk8P0Cwz88bvWaAjl114nDBTxVkIka2g6tyTFnx64fpa9EI1j+NGjHZSzIpKJ+O+TNGt62wx0uzTkxzTY2ww0hzTbxARl7nJBHGhcURCX5Wfz20UXoY6JsWoHLulm7Qw65/XydKIoiorU7MpqXBSatQTwiBLO3AEKqpZAdSXNarTyWLJnWcHUI9Z9apJf5xGubxKKcvBuyWzsJ7OwiM8GIyMjHD+/Hk2b97M3r17VxRJrJWGBCunIq0FhBBks1kMw+DEluyaOw2rQTWH4Wa0h+ap62/D2SyOiH/5zlE1FDsM87A8fGWYA/auks/nwrsAmHUXOO7jrpVpthptZuaj3FFYCsHk2kbfL1ycw2KxoCgKUsp5x0FRFHRdXzdtbCKRWNNM4nribXcWFsNaGtWGYTA9Pc2NGzd4+eWXeeutt4jH43R3d/PMM8/w2GOPzTd2Wg+sp8C5GjbI99Er9xIhySYpOIJpTHZgRrsbMbALyUEBbmkKkwF0AQek4CnNBgi6yvZ7UHrZLbV5I7UY95UIG4qeyTqj4GH3qzoWCSElzZgaYlyd48NGlu/Tk2yR0CkzdJHiZln0XxNwoIxOZEewP1OYtG9YIqgSVCm5p8TxLVCY+mTGwzOZQRzKILo6TEwd457lLgqFCH6v5mRHBuxVvt+IWmoolBMdVKCLOHeVBD3AjEiUrI+SLtnvYelkm5ijU8xySFqoEwZdQC/QJCsNXG/ZMiGgUYBFwvul2dFbSJXnkw9Gq1B67HdGZqEWZ2E9UtX5yhRTU1Mly6emppZdteIRzPf9jRs3uHv3LocOHaK7u3vF92R5ZkHmnrMjW2oz/O7pD76aVXvHRhRFYWJignQ6/UAjpnf0ygZfq4HmrCxAsVw8CApSHtnmjSAlGPqyxM2Zxo5F1yuR5VGIbM+8Z1njy9E0WZtj9qT9zNKDyjAUa6UvunHpgVVwO1xuRcDknI0vvr58wX+xXiGbKXUArFbrfC8dTdMYHBykvr4eXdcrsg4PCu/kzMJDHTJbrbOQyWSYnp4mEAjUVN50vWhPb6fAuRjPZf+aAdtuwEF3rpJPDFP4PAAEMDMKTwkYKCrtaZN+OtRZnkIhgwBM2tL7DBspNUoUeDzr4RVLDCO3zXYD2qUZ2U5JmBUQIzx/LglhsC0Ld3PzryHAQpwB1SzxmZFWBHrVgn0pEaEVN7vJ4tAtTIsoUSd8T9LKJZuPCVXHI1NoZGgVMTKKxC0hXrSzPRlw2GKkywKDUphGd70UpKXgqWySgBNOpeHbZX7lnIAthoO+XBlYsjawFjIYpwBb7pjdhpeJsvrlUsABzdSRuATE1CRRTGO/XehM/v/snXd8W+W9/99H20ue8o5H9t4kJFBGoVBIQhIoZZPLpdAyC5TbH3RAoJdVWi5ltGHelLZcRhJCKJACIawSAiRx9o7jLUsesi1r65zfH/I5lmTZlrcS9H69/LKtcc4j6eic5/N8x0eC0/xG1JpWshGoDhNJWqFrGlUqMEbMIUtQ0yrUUug7m7SQcvPB52QpcB7OmoXS0lJyc3PZtGkTM2fOBKC1tZWtW7dy0003Dfn+TzZ8Ph9ut5uFCxf2Oe0onKGuWRgM/H4/48aNw2w2c/z4cZKTkwN92DXdF6H2hf22UUxKq+r9gXH6jXvqQvR7+j5RHwksiSUI4aYcfaRst528vESyg7RigyMRS2vPIlyuV+iJcKEQjOyvkpOTw9ixAT8JURQRRVGJOkBgDiW3Vh0M8S2fk4azwHkwOenEgt1uVwSCzWYjJSWF7OzsqLoWDaeR1EhHFgCSGc0scSkt6vWkAkXAdgJ+C5MJHBwWoIVAxKGOwGS/kiYSBCiQRJoEgTTgNNGAQ+1SJvPNWjtnunQ0qzxM8gkkq7TUaz0cUcMPfLBZ0LBf5SNVCkQrAJLCvt+H1TDVn8wetR1J8JIGNBHqD1Eg6hnjVzNJFNmpdypG1QJg03u51G3nbT1YVBoKaSMdPy4BvufTsVETmMgX+qBQrcItiDRrYbobdgWdj1pUfqa6EsmTRKyGgBBo0UGpqKdcFainmCBCnhjwlTAD7SqoVncKhWwRmhCoElSkAFYhVChAQBScI8Hn2oBok5kopfO10MwZqMjXtOIGDF3Ko8GHGsKKwUeJeTzs2EECidQIm0mTJnfZ72BzoqUhdcdgpyHZ7XaOHOnsJlJeXk5ZWRkZGRkUFRVxxx138N///d+MGzdOaZ2an58f4sUQJzrkmrPBYDhM2QaKKIoUFhYyatQoPB4PDQ0NWK1WGhs/I3NMoO7hsHoK4/zd5LxHwX7bKIyGrp2WnNroVkq3WQNu0Mn6/r+XOo8dojVlOwmoWngtBfV985qIhGzM1hNqf+f1JDgFKRKRhEJpcl2X2xo9mUwt6n7yv/PbWmaPM+H1930ynpYi0NTSt2tNe3s727ZtIzc3l3HjxilzPjl6LIsG+Sf4e69SqZSf/mC3B67q8cjCEBDNpFoURWw2m+J/4HK5yMzMJC8vjxkzZvSpa9Fwd18aSqIVPqf5/pc1qn+RKgQs1zIlAacgkQTIPSsagAUEagdqAasKJnWszGdIEhegxhyhGGmM1kCK6MGTKGH0+tCpoVgEN3CRDzZqAz3/yzuGWhch2+OQyt4RuwjkzKUREAyCBDO8etxaN/Va0IlQ5NFSqQuUDI/xBLbtSHBzhcvAJ4aGkDz/NpWP1A5xMluCNk2nUkkMe+sK3ZAtOkgSwCnfJ8A4N5R4oUSfgk7dxmE1jPZ7yPTBx1poU8EoEapUMEOEBBLZrXKwyJfITl3XKMBpfnBpYZYPdnR8Myf5EjCq2rhcMpCpcuGiI8AjeEiWdNiDai98go9EScAhSCDBPN953Op6U3GyKJDO7voGDxEnQmRB/q4PV83Ct99+y9lnd34Gd911FwArVqxg9erV/PKXv6S9vZ0bb7wRm83G6aefzsaNG+MeC/1ksM7n4TULgtC3bdqcBtIS+lasGc428yjm5Ha/sh9sLqXT6cjPzyc/Px+/38+e6ti4phWm2qluScbuVg9IMEDAWyHF3xxym1HTdQFmUBiGOYFnevStYgHFxVlKzUTT1ogvJXNIOjYNlJ6EAsCL92XwzPtappYGjoezJnp54+vAc+651MeGsu5TMKMRCserPDRaA+m+3QmFYILFgBxp8Pv9SrvRgUQd2tsD1/x4N6QhoLuTvc/nC2lvumPHji7tTYuKivp8kR3ONKRYiCwAaEhgsv9O5f8CQSL4FDwRyCKQYnMqKB6/8vdMEECKYF6WIqrQqlvxdJwrWjUiWlGFqAKtBjJ1Pq7yC5jcqcpzzBooCEsDMggwhYAfRBEBATDZDzME0GvcnOmAmU5I94NOAqMXvteqI0MLjo52RK06N2lh51GPSuR7bvi+D9rCzmc1Oih2GzD4YWGLGlEHJhEawrIZSjxu8hOgVdeGVQ0ZXj1tGlDpYL4ABgkcAqRLUK6GIj9cgUSStp3csPGM94O3Qyzp1JAp6Zggqhjn05Gr8pEmiKjpbD8rANkRXFL1goQGuMify22uNREs74aeE0Vw9yYW5FWlwapZOOussyL2u169erUyjgcffBCz2YzL5eKjjz5i/PihK0SPEx19iSxIksRoQ8895qPl4rldmzB0R3fH8FDX2xz0RV+/kKqN3E4aYF/ivIi371LN7XJbutcS8n9f6xU0Ubg5HzAu7PY+Z1YxzqzO9K6aou4fO1zsTV4Q8fZDLX0v1j6imz7Q4QCQF2Wt1a0XuDhropezJnZ+Lu//syLiYz/4sntBtOtg980FVq7w8u2335KXl9etUAhHpVKhVqvR6XRKrYNGo1G+U32tdWhvbychIWHY27UOFieMWHC5XFRWVvLtt9+yadOmkPam3//+9welvenJJBb6srI7zf9bksRA7l4KgTSf4NFNlMDe4ZNwKoFuScEBx3YBUoOeYAC+5xVDDy4B0vydXyZJgFwPTNO0sNQKGb7AjD2r4yEaCaZLMFdUkUAg9z6HQIvXxc5A29ESFRQLkJMAM7UwT+3lkjZwGT0hpg4+lcT0MG+2cR4oVUOG1HXlQwBmtgtMdsOxVD9ZHjXmsAYGWgmsRnBpOp+THbStFGChAClSQOQs9kKivh2fKiCwJno7EzUTRBX5QqcAEwWYh8hoUUWqNlAVohM8eMMOmbQIhnMm4AYJzvX8sct9w8WJUrMQTWRhsPJV45y4RCsWfD4fZWVl1NbW9vpYvWbkuiZ1h0/q2ySmL0KhO47lnDag57eph9dXQnD3ratPd+wbd2m/nhde5Hyg8PxuHyv4fXzP/X5U25VTkCIJBbOhVPn7iHYaR7TTaPP1nnfvcDi6ve/h6/t+Tm2wR2pG3pVac1eR/e2335Kfn8/YsWP7fW1SqVRotVp0Op3yo1arEQRBacUqC4dIHZbsdjtJSUknxLUxEjF7FZR70vp8Pr788ks+/fRT6urqyMzM5PTTTx+S9qYnUxpSX5BEiRLzJ6RX/Bp9ex75Umj/f5PQWQysIpCSBKEma6IQ+F9LwBHaoYfksAUcXdj1VuuXUGkh2wSX2b0sbUmlXBsQBmcLME6AkvauITtH0FHrDhqEpKGzbVP4czQqtBKYfLC4IY3JDj2iJIDKS56j8yI52SZwSruAK8NJjh6+Z4MSt5/wlMop3kDqUzCNOjsJQbeZfPDzdrjZnYIu7Dzn1baS7g1sdIFDxBu0fZOoQ5D85Lp8ONROVJKAyq8nvAFSgtA54ciVBM4ALgNypAzS/UsivxHDxIlwQuxNLIiiGG+begIzWMdgNGLB6XSydetWvF4vCxZEXuWNxC7tKQMd3rBhNEQf6YBQr4WekKMK0ghEQfuCtqlrTn5f8Jg6u/5MPvRGxMe4p/Y/SrE3JTrhJRuzfWINeIBEcnGOhNw+VSX0nu7U6Mnkyy+/5Msvv+TQoUM0NTV1mTx3Jxje/2cF//ugCYD6oKFt39V9Kl9dQ+ex09bWeZzeeoENgIKCggEJhXCCow4GgwG9Xh/SmlWOOni9XkU4tLe3n7BtUyHGahZEUaSxsVEpUPZ4PEiSRElJCVlZWejCZ1xDwMkUWehpH6Io0tTUhNlspr6+HkEQyM29hHHam5mhauY9/SmgCqyiCEAxgdRNQQgcNGcD+wmIColA4XOaBCVC53w9zQv2oIV7j5dA2KGDdo0GuSDXlwYTGltAICTdpiW5DZNbj1XfuYpekQBpfjUetZ8GSY06KA3KaYBUT6AAORiPVmRxuwqVTiJbbcOSBjNaId1t4LjkItsFei20pUlKcbGohrEk4aGdyqBtZYlQqINRbUbKUjqN53wCFDuTqdQ5mOYUSUwEUkDlb0MrqvCqgk6WKhjtU9HqEXEld77eLD8IKh9IEi6DGvCT7k1BolUp3lYQfEwXjYzGT6qqHSQVWkFE6/shI8mJJrh7iizExUKc3sRCc3MzO3bsIDc3l4kTJ3aJRO08LHFmN5kdc0r6P64Wlw4SIScvv/8b6YXq1rQut41XHwr5f6+tmClpkdNGBhuPLnRF2+6L3fzvw8lzGGcPFBUPpjGbzP4pV3Z7n+Af/MiVw9e3rmJnnXUWjY2NNDQ0sHv3bkRRJDMzk6ysrD7N5+obwRf29btkroMXNnWOx9ropTCvc3ttbR7u/bGDbdu28dPzChgzZsyQLmB1V+sQXCQtt8U+ERbSIjHiV0KPx0N9fX2X9qZTp05Fp9OxdetW8vOH7mQYzHB+iCNRsyCLMbPZjMViQaVSkZOTw6xZs8IiNJmMEe+iRvUQECgmnkgOh7Gg70hQEoBZhKYrGYDWoP/dYQsHzQmBbckr5E0JPhJ84Os4CtuMYPCDL3hSLECux41VDwYfpHpVJHv1JHucHM0Ca6KfYq8at9avjCvP2VUsmNxaVAlestrAkg65NshOhiSVgEEFahccDYuszm0CIaMdA1DSauC40UWCT2BGh4mElNLKqY2BWgOVNgW9z4/WZydPr+p0sSMgOsY1iuwLaxudqfORLHX2L8p0gVqrwiuIFNmhKSXwmrT+VtoinKdTRSOThVY8HRXgCYBfUpHjXtn1wcPMiXBCjKZm4UTNL40zePQkFqqqqjhw4AATJkygqKhz5fj8aT7+tbvz8vrpLj1nhudCEjjGRlKQGtRdxxRneGgeu4DUxg1Dug+Hsee50yf1UzgrJ9Ahq6+1Cm2+ZFI0ketQ5MLmnJwccnJykCSJ1tZWGhoaqKysZN++fRiNRkwmE1lZWSQnJyvnYTmq0BtV1U5GFYZeGK/9ngO+p8Jut7Nt2zYKCwsZPXr0sF6PZNEQ3GHJZrPx+9//XhESJ8L1MZwRFwsHDhygtbU1YnvT9vb2YV2lPBl9FkRRpKGhQREIGo2GnJwcZs+eTVpaWrdjme7/FR7hS0zSaRT6b0NLKm2a82hWf6Y8JrxRp6sjR7+tY5M2AyR7QE419GkgrV3AltQx2RYgrR0aOmqcfVoosKVQkRba1SLLm8pFjRKNma0IGhESnCS2QkWHsDC2CFizOh8faf2jqNWH0wQ+wcCoJg/paSKCChwJTrRCwFtCbUvhYHpg3zMbExEyAzmXAjBZ46daFJgoScr2i1qgQKPHmuoGOsfscYE9fI6ZCjpRwKOSSAZGA5kd71m1P+A7odGAVy2S5AFbx4KZQRRI00u0hW0uQRLIF9xK89QkwCuIaP1T0TKyJl4nyskwmpoFOSc1zonHUKYhzSrRsG/fPurq6pgzZw4ZGeEWjNHRU8Qi/FrUW0ek7thVZWT6qMAyTk/tU/fUZTE1r6HP2x8s9ieewmTH1z0+5oBvIhM1B4Z0HLVSoCj4gHEhE1u79z0YrMJmccLMHu+vyZkbdftUe0o+KbbK3h/YBwyCE1eEZhoyFfau7XTDEQSB1NRUUlNTGTNmDG63W2nvW15ejlarVSIOGRkZPS7S7N7n5JKOundrY2euc3Vd4Gpot9v59ttvGTVqFGPGjInyVQ4dDoeDyy+/nIKCAv75z3+esNeTERcL06ZN63aCPtw1BCdLgbPf78flclFbW8uRI0fQaDTk5uYyd+5cUlNTo+sEgJp5vtDiqPm+B9moOkvJmXEBOgLpSclCoFOSVgCbBM1+sGk6UpGCVvkTvRK2oG2G1/n59M5AuEIAtQSlTjVSRgttQG491HeclxxGmGmBb7NB8IRuxK3vTG8CGFcv4MyRyK2DBMlFSl5nMTFqSGhNQDI6KfW7sDUI5NoltCWhxVmqRC8/aNKhzgickApajIw2tiK5u17s07wi9rBGXJIGikSJAj8kesDVce41ADOdiTQmO6gTA54W6R4dNl1gPykqiVEEpIj8vgkSjBKNeFWBtC1B6vSeSPLc2GU8w82JkobU2zhlsRDnu41arUaSJERRVFYNt23bhtvtZsGCBQPKQ+6ug4qcxjAYXHO6g51BWUKH1VPQ0L82m7J7dX+Km1u8yYPaPrUnDFL3xbXB+FXDOwXymIo4mHQK0w7/HwnOpn5to3XcqVRpRqOK8BkGCwU5qpDiaqLNkEFdwRy0/tBIkkqAFlUmtbqeuyZFSkGKFFVo9ATC571Vq+j1egoKCigoKEAURZqbm7FarRw8eBC3201GRgZZWVkE+iB2j8vpw5DQ+Rm2tbWxbdu2mBIKl156KWq1mrfffnvABpEjyYiLBZVK1e1JUZ5UD+dK5Yky0QnH7/djtVoxm81YrVYAUlNTOeWUUzAajQN6/+T3JFeaxxLHVhzCMcxtm9CaXkSlglwBHH7I6JhXeSRw+8DmE2gWJVQSipOzGDb3Cm9w4EzwYfJCmyZgDDcm0Y9PAlUr2KVEkmocVGcJePQSJg0YXRrs2lCx4DH4yGw30JjkQuuDxBQNfr+XFC+YkkOdmwG0zU4wgtbo5ZR6MJdEehPAkOTBC+RZYWxma0BwGHxo3AI+fedxo/caCEipTjQSjFVBBiB6oDronNGe5CDdqyJZK2Jv01OT3HlCzyWgzUbRKRaKJcj0S1g73stEwCuAWkokzbciwuCHnxNh9SSaNKR4zUIc+Rjw+/0dHV4CXVBOPfXUAR8fka59wfnOF810sKGsezGys6mU8/IGnkq0pz5gdBZtdOGznVrOmOGlzd1zH/1gyhtTKM3sjJGqVRL2PubBB9OmTg/3oBx0DhgXMrHl370+rnr0mRQe+3RoB9MLU23R718ubu4rcnGzLBSqHaEpQzZ3AqeP69uHolKpyMzMJDMzU2ls09DQQH19PTu2pQFw18X1/N0cKLBeeW3kOVpthY1t27ZRVFTE6NGj+zSGocDpdHL55Zfj9XrZuHHjCevcLBPTV8LhnnCcaJEFn8+H1Wqlvr4eq9WKXq8nNzeX+fPnc/ToUdLS0khNTe19QxGQxyevqMmiLU2YTDpTKEheAvbxOJLuQ1S7SPGqcar8aATQqaCgFWxqDdUZXsbY4ZgIh5K7eho0JQe6Jsl+DDo/GLWBAurM5mS86fbAbNkIJZKTo14NxmYfVhXUmOCUah9fZgc6KAWT0+CiMQkm1+vwFngoqk9hYnYb3kYIt0PzB38LciCxFZzG0Mek2gRa0iWyG2B8Bsg1jAKQ0CzRFpz5k+pC7QV/0GvNEwJCAUCVAnkWaEsQ8GhVeAx+9K0afJkeUlLcFAMVBF6TvFkjAUM6tQSTPWoMqlYkVwJNeqdyvRSb5nG85jgGg0Hp0GAwGIa99eeJIrijSUOKi4UTl8HsfAJgsVjYv38/6aPPYNasWb1uf+fh0O9BpLqF8MhCsHtssNFaLCFHFYKFwnAWOQ83B1MD6UZTm9aG3C6iRhXBYyhadLu+GNC4TkYEQSA5OZnk5GRKSkqYMcPbUSTt4qyizXxSeTZ79uzpiDrksu+bo6x5Zgy3Ph4QL8XFxZSWlva8k2HA7XZz9dVX09raygcffIDRaOz9STFOTF8J5RPlcEUWToQCZ5/Ph8ViUQRCQkICubm5jBkzJqRIqD+CpDuBIAhCyI+C5hZSGrbSnrEOneDH7Uc5ojwayJC8eJrApYcJqTDaC1XtUOeGdj141IHHpbQkYFA7SRXUpKX4KSVQD+ENck1FAMEpMS7TR20jSAYDybVuJCmFLHsriW5oCfo+6lWQ1ga+bA9aj4pxQhtaA6gifGcdmSipTwKQ1hwmFiSQ1HpmmPVkGLygDg1x6/2E1BQIashoUmM1BS4kuVIg+oIISTZISARVNribU3AktyJ5IMHjwe2Edg041YE0qUQhtD1tqagi05WKVuUGMYF8VRNJfmhRgRPw19+Gy+GgubkZl8uF2+1GkiS0Wm0XASH/NhgM6HS6QT/2Y3GSE05v5xW/3x/3WIijHCN79+5lj/NC2A1zRve+evrLi/38fl3PaWxyZEE+18r/D6VQ2FtrZEahbUi2DbDV3Lmqu7M+jxk5kVuOGvVdPQv2Jc7rUrewSzWX6eK3EQ3ahos0jW1QttOeaKJQOj4o2wpmRt0/8Sek9Po4r1rfJRUpnAxtdOlR4VGFoUCr1ZKbm0tubi6SJPHJ3wIpTOXl5UAu9/xHMwcPHgQKAGJCKHg8Hq699lrMZjObNm0iLS1tpIc0KJwwYmG49heLBc5er1dJMWpoaCAxMVGxLO8utBXtPvosEMJwaJ5Df/Qw7uwjZOodtACiBlyJYGgPGLhV+jvm14kwOhPGNKHk9EuAmO5Eg4o0r0By0LVVneFCcIHU8VinJ4EknBRkQnKVi9p0cKe0Ms2lpcbhDRELrkyYYob0NChsEkkd27HNFEi0GXCkdaYJiQYwNKtxpQcu1BpdR3uhDnLaYYHajTrDhdOagDMt9D3QRugAl6RKwIqdJAlGuQWS6yExMRG1wYvg9IA9gWRnK4YG0KWDJolAH9qOei2vAPUdH63OAQlti0lLepXKykpaWlqYNi0QRjbgx0AVotCIatSckDFIkoTH48HtduNyuRQB0dLSotzm8XgQBAG9Xh9RSMh/azSaPh1TJ4tYiEcWvtv4/X727g0UBE+dOpU93wzu9uVzrhxNAHo85/a3yLknympDC1SjTUXacQBmTRzUoQAdvguDmF6kjsKxuTsEBjYfCG6fGkx4JySN245PH12aSpKtErK6T7OpNs0GIMNtjnj/pupJ6LWdr6vdF13NjcOnI1nrUlKQihLrKbeHVif0NQWpLwiC0JGCNI5x48Yxc6aT6upUKioqWDarCoPBwMGDge5K6enpI7LQ4/V6uf766zl+/DibN2/ud+ODWCSmr4Qns1jobT9erxeLxaIIhOTkZHJzcxk/fnzUuW/d7SOSQAgeW28Cwe12U19fT319PS0tLaSnP8N43/uoMv6HVKMLWyK4dSDZAwVUo5xg9mkhMXDSFjNAbwN3WmDlXCOqyKnToC0KNf1RqUFXA+6OjoT+lM4TUeooSK0MdENqaffSnA3pLsiwGTB5XSSmg3Y0JPlBkx46/tQWD4600Nv0rX5cHY/z5kho5JauEkzSgbrjoqEVnISvh6lTUSITMpokNyoR5tggr1KHkO6GinYwA4VAx1Z0gJSmgrBiNa0EmRYVumoRf+pdeHJWKveFfjZqoASVVEI4wSKguzCoKIqKcAj+3djYqPzt8/lQqVTdRibkv+Vi4BMlDQl6FtXxbkgnNgP93FwuFzt27AACq5mDUZz46S49p07uTF3x+/1KfUK0buE1DlPAYwE4b0p09QrBHZGCcfn1UY68s7h5sKmypTAqqAOey9dz//0DvonkRLn6PdiIZ1xJQ13vQmpv8UU93i8XN1ecfj2jrF3FRF84UHg+E6v/1a/nzsg19yoWqp3Rddcrt+dRMNRFJEF4vV6qq6sZO3Yso0aNoqmpCavVyt69e/H5fCGeDnp99Md5f/H5fPzsZz9j//79bN68uSNV6uQhLhbC9jdc+4q0H4/HowiExsZGUlJSFKOfpKS+mc+EXyh7EwiRntPd2Gw2G6mpqeTm5jJ9+vSOL+IcPL6b0bWdQTLltCWDKIFaALUW0i1ebEngN3Q4PWvB4wfBBwXVIgmCF1c7SGEvUx103fCle6GJTg8DP2gSIDMBFkrQoAdyOyMGOhG0qqDOR/LtKV1fpxh8jVZBkhDoTJTjFcgMWl1SZ4DgBino3CPoQN+iwp0aNOE3eJnhhLwmEAR3QCTUQ/hClQDQIgZCMMHjkVIQnI/gzslETF3UZbyDhUqlIiEhoceJkM/n6xKdcLlctLS0KP/LbscGQyAM5PF4qKioCBEXer0+ptJ64pGFON3R0tLC9u3byczMZMqUKXz55ZeD1p3ok21w/nygcRteXV6f6xPMrQYSwu3j+8jO6jSSDIGT0SVzHaz9dvicZb0+Aa1GIlkjL7v0nj4TixTmZVFbVx/149sTo0vbcU9diH5P9y1bZURJ1cVNWY4qDBbBQiFZ23ltrXaYKEqM/rUPNvL3s7S0lJKSEgBMJhMmkwlJkrDb7VitVmpqati/fz8pKSlkZWVhMplC2vMPFn6/n9tuu41t27bxySefkJPTezvZE42YvhIOt1gYrn0FH6hut1uZhDc1NWE0GsnNzWXy5MkDtgaXU4q6SzEKH0s4cnSjvr5eGVtOTg5Tp05VJoUhaDLwpO5G23IBCf7P8WlA3XEuS/AYUdW24k0Dvwg+FWiaAkW8gc5nEjqzHnepG+TiYR/o2sCrAm82IIDYpEWV0hFWDjr3miRwi9DWkcYkSJDR0VLUF/YSNRl+EiwCzmwpUEfQqCPN6wFPRwG2AAYBWiSYelxCGhWoQwAQVKBpTsabE9o2zuBKwp0aWB3TODUUekVS20QkexKCox2sge0igORTI2iCJh6OgFOz8rkh4BQ2ImV27VgxEqv2Go0GjUbTrWCVJAmv16uICIvFgtfrpa2tjYaGBkVQAL2mO2m12mHtfBZNZCHOd4u6ujr27NnD2LFjKSkpQRCEEK+Fu5YOfPX0X1s1LJuWwOHDh2lpaSE7O5uMjIyoxHRlncSE4r7tL7x9ajhDLRjKzJ3pKqWZbVS3nLidYQrzhmfFuGrhtVE/1pY3pc/+CqYUT+8P6qC62cDEbBctngRSNHYOVBso6rmr6ZAhC4XRo0dTXNz1iyAIAikpKaSkpDB69Gg8Hg8NDQ2KIZxKpVKEQ0ZGxoAXhERR5M477+SLL75g8+bNw2YiPNzExULY/oZjX6IoYrfb+frrr2lublZW6adOnTrgUHfw+G02G3V1dUoIXavV9rqCJXdYkqMbcvrTpEmTohybgDd1I4amH+FJeB95AV7Qt2JoDeTf+00geEHtC0y+ZTQaN1IDiFrQ2EBoBJUYeI4tATwp4NMb0MmJ/ckEVus7RHyBH44J4BEC4iFVAK8IzR2TdAWvQGG1hNAKSaNUaEweVA4txa1e7MlQpYEmNeR5wOQDb5UeSjrD/Zo2J96whQOtO7DqklqrJz/NjdoLGgfQ3B6ofg7ef7MUInQQ/YFOqx36yyXdgk+aDPiVzyp4EhFraTGCIKDT6dDpdKSkpODz+fB4PEydOlV5jCiKeDyeLulOwcXYXq8XlUoVVf3EYNDbdz3u4PzdQpIkDh8+TGVlJTNnzsRk6vyS9uTi3BPhRc4uZ+c2JkyYQG5uLlarlf379+P1esnKyiI7O5vMzEy02kC3oaWznLy9Y+ApUHtrI6ciSpJERUUFgWbVAXqqWyg7ZoAIXYC664i0s75TKIS3T42WkSxuHio8008f1O1FG1WYOyoQEYjk09ATLZ7QY7DaERoOH8p6BWUMHUJhzJgxIY7pPaHT6cjPzyc/P19xU7ZarRw+fBin06l4OmRlZfV5gVYURX75y1/y0UcfsXnz5qjHdCISFwsR9jcUuFwu6uvrMZvNNDc3o9frKS0tZfr06ZFX6ftApBSjrKwsamtrOXbsGC6XS1klNRgMJCQkhPzW6XS0t7fT2NhIY2MjiYmJ5OTkMH78+D6nP8n4Mtag238uUuEWBA0Bu+IqUPlAqAMMIIRf/yTQloGUqkbQ+0EDYqMRla6VtGNgGwPunDZCMlrbO4uRBaDIBzYB0gVAFUhDSvaDXRPYd1KTiuTjKlRqPaJdg+9YC/hAU+pFUEGKCJN3JuNLsSsRCbXTj98LyO1dU/xd6ha0BjV5FQYyR7Uh2VXomgMOa/5qHZrUsBUcR+hJWgCk1sB74qcEl/8BJCly/3U55cfn84VEiGItvSccueahp2Pd7/dHTHdqa2tT/pcn8N11d+pLu9h4GtLJTV/O5z6fj127dmG32zn11FO71IX1Vyx0x70/9iIIaqW//IQJE2hra8NisVBeXs6ePXvIyMggOzu7Q7QMrpmTnIIEsH///oA3T9LkHp4BgtD1e93fIufUhOHLbR9puityHkxatNFFOxxi9Nfz7moV5C5I+6oTGJcffXRioPRHKISjUqnIyMggIyODCRMm4HA4FCfpQ4cOkZiYqEQdUlNTe7yOiKLIr3/9azZs2MAnn3wSE52YhpIRvxL2dEI/0SMLTqdTEQiBQuB0cnNzSUpKQq1WK7l2/SFYIITXIahUKrKzs0Py5nw+H06nU5mIORwOLBYLDocDr7ezW4QsHpxOJ2azOURY9DXn3DfxQzTbSxDGNgQqeYO8CSQngZV0+eOXgIPAEaDNH3AhmwCqpFYknwpBI5J2FFpGE5i0y8PICe1cpPVD7kFQNYHYCtI4SE4J1C8kfKJHUIuQ5UUo9qEiYJYmtoMkb69Zh6Czo/ehREVUXh/CZvCXJCKNdqBKB1WLGjHVj+CExIOQIHkQJBc0g5QkBoZXDRqHp4sJhF/QoyGsMNEJok/H8cbVaLStysRXrVbjcrkwm83U19fjdrsZO3Zst86v0LVIfbgFRX+7IanVahITE7td3ZEkKWL9RHt7O01NTSHtYnU6XbdCQj7G42lIcSDgsrp9+3b0ej0LFixQVvSDGWyxEP5dFAQBo9GI0Whk7NixtLe3Y7Vaqaur48CBA5C5JOTxBysEbrsw1PixN/x+CD+cDxz1kV3Qwvz58zEYQlORqlvT+rT9vlDTpCO/f+tQClsqCphWYBuU8fSX/LwcpW6hJ2O2aOsVuqMmZy4F9d9GvC/XX02LKlQsdNcJSRmPz0CKJjqX6+rmgS1mDgY2m40dO3YoxcyDRWJiIkVFRRQVFeHz+To8HRrYtWsXoiiSmZmJyWQiMzMTna5zmVKSJB588EHeeOMNNm/ezNixYwdtTLHKiIuF3hjOouPB2JfD4VAEQmtrKxkZGeTn5zNr1iylIv/AgQM9TvZ6IlIdQjRtTuWcc7kw1Wq1otVqKSgoIDc3l4SEhJBJmNPpxOl00tzcjNPpVCZhckqTPOkK/ztkciUIuKZ+S8LOcQgTvAFx4FLuAgcgXzAqCAgFCEQijgGVQBEIySIUB+oQUo+CL1MFWWKgEVCSGGizpwHBBapdoOpY7BC0alT1ftT1HUEBgxtcIHrSEBQ/ZALpTMeA0SAc8aIKP69XgpAI6uNupAMgjk9AZ9ChPtxCAqDWAIIYED6uju01ErBcjjA/V+NGEgUEVdCx5oWqmjswt6hxuY7gcrnw+/3KManVaklJSSEvLw+tVovT6VRy/OXjIvx3d8dYsIgYqujEUETpBEFAq9Wi1Wq77Qgmt4sNT3cKLsaW28VqtVq8Xi979+7tku7k9XrjpmzfARobGykrKyM/P58JEyZ0+x1Qq9Ws2zl8E4KkpCSSkpIoKSnB7XazcV/Xx7S0tGA0Ggf8XTvllFMG7Tjfa+tjMcV3hFpVETZ3IpN0hxCkgRWnt6cVMcp3jCpN9C7FKa4m6nVdJ9m76nMZk9m1S1YknF4NCVofB6qHVzwMlVAIR6PRkJOTQ05ODpIk0draSkNDAxUVFezdu5fU1FS+/fZbZs+ezUcffcTq1avZvHkzEycOQf/gGCTmr4TDKRagf1EMh8OhrPzKAqGwsJCcnJwQNSrT15N7fwUCBEJlzc3NmM1mLBaL8oWYPXt2lwtNb0Wsbrc7JDrhdDqVFBGn04koiooBWHBEIjXzr+R8ezWq6WKgY6i8SzeB6HoTSEeD0voNdLqcHetY9T9Ex6wcNH4fUhowF8TiwP2CFfjYgKq4c7VNSPCDhc5OQybgKKiabEiWRITswMqKSgWiV4W0V0QwhX3+jYExSg4NiCpUOj9ChRNjqhMhkZBvkOQEIQUkEYTjHTdqCYiioMVyAZBcekgMjFXygTv7L5gyr0Hf2kptbS11dXUYDAaysrIwGo2IoojL5cJut4cUDcvtUeWJbqT0HLVaHXIMycf4UEUnRrJ1anC72O6Q28VarVYqKipISkrq0i72mmuuweFwoNVqOe+88xg1ahQzZszg9ttvH9TxPvvsszz++OOYzWZmzJjB008/zbx58wZ1H99VejvPVlZWcvDgQSZNmkRhYWGPj+1vhEmSJO66yM0TG/rfulGv13epWziz8Gu2bWtAo9EoqUrR9Jb3++HAoUBzBqNRz39d7Eal6ts0oLbWRXJK1+hLtLR5uk42g9un/nuPjtOmDn16yzft0/D6VcxP2zvk+wpGbpvaE+6pC6PaVq6/us/7b/cF3v+2blqmltvz0aoHJmgGC5vNxvbt2xk3btyQCoVwBEEgNTWV1NRUxowZg8vlwmq18q9//Ytf//rXSJLE0qVLqaioYPTo0YPSVjnWiYuFfu6rvb1dEQhtbW1kZmYyatQosrOzIwqEvu5nIAJBkiSam5sVLwRBEMjJyWHWrFmkpqb2ayVKEIQec87ljjiymJB/NzU1UePMpkW8ignf/g0hHyQBJFGNSBLY3Gjq3Ah6wE4gWiCgRAsgsGiPHUjszHOVLKDaH/jx60HtBnSugBgJ+t5KbSDIYkEAyZuEoGuHcmdARLhBqlYh2ERUAhBeI9YAkivQ71WwusAD6FUICSKMp7PrXyuB19AKwv6O1yHjIkQsAGB3QyJILnDoH6LCfga1h7bgcrkUMdfbZxXskRBJwMnRCbmlafBPQkICOp0uJCUnPLVtINGJWCvCDkZuF5ucnIxWq42YDlhWVsZLL73E22+/zaWXXkpVVRVtbX0vzOyJ119/nbvuuotVq1Yxf/58nnzySc4//3wOHjxIdnZ27xuI0yuRzrWiKLJ//37q6+uZO3cu6enp3Ty7k76KheDvT3+jyD0xffp0RFGkqakJi8XCnj17EEVRaR+ZlZXVZczXnO7g1y93juWXl3gQhO7FxVCZrgWzvyH0ON9UFl2XpC0VBSH/GzXdfze/ap7MqemB0IxmAAZtg8F+z3jmEFo4bjV11oqkt/ato9FQE56C5PRGnjLWt+gYVCc9oLm5mR07djB+/PhexfxQYzAYKCws5Oyzz2bHjh389re/5fDhw9xyyy1kZWXxzTeD7NYYg8TFQti+esJutysCwW63k5WVRXFxMdnZ2RHzXHsi0mvqTiAAvXYxkiSJlpYWZXySJJGTk8P06dNJT08f8slbcEec1NTUCI9YgHP/NJwJk7EnTe0UFIKTXNUzFLleR/D4O4uew4cbdo5XaUBqACGrQyjIz7EARgKpQFogPSj3CQJtTJMAJKTN8tOCLuZWlE5FUh1QnwDVzkBZRBaBwmzEwCYPgTS5o62qBGynIwICTKJTMESaK7glpAYVh9rv4aAwlfT0RkpLS8nOzo56YtKbR4Kc4x8sJOSCYavVGjE6EZxWJouJSNEJefvhEyG/309ra6siHsNFhTzuWKCnmoX09HQyMjLIzMzkhhtuGJL9P/HEE9xwww1cd911AKxatYp3332Xl19+mXvuuWdI9vldx+PxUFZWhtfrZcGCBVGvCKrVas4bUxbS4as7wkXCYB3vlXWh1wy5BWRWVpZy/rdarRw5coQ9e/Yo+dYmkwmdTkdlZSUdjpBA5Otdf1qonjPJw6b9PS+Qfb2jnXmzei5S6E0ofL5by/em9W2yv8UyHo1aChEMEIgqyGy1Tek1ulB4eFPE24Pr/fpKnXECAC4SMHRpmdE9TfrcXmsSwqnWlKIdRsO0gRJLQgEC3+lVq1bx2GOPsXHjRk499VQAnnrqKRobG0d4dMNDXCz0sC/Z3EOegDscDrKysigtLcVkMvVZIATvJ3gfAxEIra2tSgTB5/ORnZ3N1KlTR8zuvEcm3UICEfp6zHgBl+cJdH8/E7V0MFDPkEik7nwhCO0EJvAQWNSoBZo7/m8B8oB0dyCVaFzgZilVQEAK7CMsCgEEahdMgAhCPVDjVPwRaOzYpowLhH0geUA42jleyQfCHqCUgHAhsD25fkFygbslmQPJt6CZdgWn5eUNSRgzOMc/JSWy8ZEcnQhOL3O5XLS2tnYbnQgWFHLKj9vtpra2lvr6egwGA6NHB/Jpg8VFpPHJv0dCTIxkNySPx8O2bdu49957ldtUKhXnnnsuW7ZsGZJ9ftdpa2tj+/btGI1GZs+e3afPNtoCZ0mS8Pv9Ic0mAH6x1MNDrwUWAX59ef8KpXsqaBYEgbS0NNLS0kIKpKurq9m/fz86na5jYjuwide7n498xPCYJbpz5RZLqBHAV82T0Ws6Fze8/ujOM2kaW8TbPR4P27dvp6h4ZLrg5IuBKMRh/ziytc3dPq5aM3jjUwsSo3O9HDP3Pw2tN5qamigrK2PChAkUFBT0/oQhRpIkXn75ZR544AHee+89RShA4Ht3sjk1d0dcLITtSxRFZQJuNptxOp2YTCbGjBmDyWQatMmD3+9XViX6KhCCBYzH4yE7O5uJEyeSmZkZewIhWnQptFzxb5Jemo0hqTKQ3tNEZ4GwjpAJN3T83RJoOyp8GvBnIFuFKk0EI0iVAkKbFBAE9SDNBAqkQPQAOtsdBeMA6gikG+0hNJ1IBEkKcoSWQDqiQXCFrtgITYE0KaEWyCcgVByAAG1VuRz83uvknTaGcWlpI56u05foRLCgkL8jDocDny/w+uVuRklJSdjtdnw+nyImeopO9JbuNFTRiWjEwlB1Q2poaMDv93dx+szJyQl0v4kzqFgsFnbt2kVJSQljxozp8/cuGrEgC4W+OjIPNoIgkJycTHJyMkVFRZSVlWG320lJSeHsoo9JTk7GZDLR1pZNcnJyVOM0GkJrCOxtXpJTtLS2Dl/rTAhEFwpGyBxXPONK5W+n08n27du7XYQJx+YePofsYIKFgleMbu5yrL7zwpiUEDhPpyX1fOyP031FbW0gytVbGnZPxKJQ+Nvf/savfvUr3nnnHU4/fXC9MU4k4mKBzhV6m82Gw+GgqqoKk8nEuHHjyMrKGhSBEDwp0ul0HD16VFmFlSdr4X/rdDrlRG6325UIgixgxo8fT2Zm5gnd3tHj8VBfX09dXR2tra1knrqaU7cuQZ3YHkg9ks9bagIT7uBItQ94CwQLSDYVgltEyBM7IgrgT05C47SDF6QkYBsIpXRGFBI7thk+7zxKQCi0gFTQ6d6MGrDpA9EKP2AGwe4L/Rb5AEtne1ihnoBxnAnsmWch3fE2k0+gDjvh0Qn5u1JTU0N7ezuJiYkUFBSQlpaG1+uNGJ2Qi9/l6ERwZCI4OiHXTkBoxG2oohO9nVfirVNPDo4dO8bRo0eZNm0aubmRe8f3Rm9iIRqh0N+IQn9xu93s2LEDjUbDwoULle5fDQ0NWCwWjh8/jl6vx2QykZ2dTVrH4kV5VefiR091C/Y2Lw+uCL3t4y2uXtON+sPnu6Nfyf53xSgSDYM/Z9i1axcmk4mEhATl74kTJ1JntkS9jcnaAzi1GSG3Of0GKhwmJqR01itYjF07b9XkzEWM1F5viJCFQk8crtVhTIK89CQqKyvZt28fqampSvpbYmJi1KJZFgoTJ06MCRdkSZJ4/fXXufvuu1m3bh1nnXXWSA9pRIn5WctQiQV50mM2mzGbzXg8HvR6Penp6cycOXNQJgmRPBAkSSI/P5/c3NyQ9A+5MNVqteJ0OvF4PKhUKtRqNaIo4vf7SUpKUox6kpKSQsTEiYTf71d6iDc2NmI0GsnLy2PmzJnodDrcBR+RsOF0wB9SuiCJOgQ6VrJ8wGcEahQg0DrVDdQFag2komTUrXYoAQoCjtEkA4c7ficQmPz7IMTlTSLQwrWjBk08pEJVKiJpNKg0PiSvKrAtM4HIR1LoU6WmRFQEuiwJHpA8KgSdiK9gEapb3xjGU/3g4vV6MZvN1NTU4HA4yM3NZe7cuRiNkV1hg+kpOmGxWEJqJ8ILsYM7O+l0ukGNToxkGpJcgFpfXx9ye319fb8ntHG6snv3bhoaGpg/f35Ux2p39CQW5PqEkY4oBNPW1kZZWRnp6elMnjxZEc9arZa8vDzy8vLw+/1KgfTOnTsBOgzgZnW73ZXXSqx8pX+vL5q6hb4Q7LHQ6kthd00aQL+Egly3UCt133EnMTGRo0eP4nQ6SUhIIDExEZerb14XPXGwrYhTCQiGPY2FTM3svdPRYf+4bu8LTz/yRIgshLdNbXH33Bb1zAlePj0YKtwumesAxihdg2STs6NHjypi1GQykZaW1u0iTmNjIzt37owZoQCwbt06brvtNt544w3OO++8kR7OiPOdEguSJGGz2ZQUIznHf9KkSWRmZnL48GEkSRqQUOhOIMiTFPnLolKpIrYqlY3c6urqsNvtSjhZo9HgdruV9A9ZTIS7MXcXmRhpJEmiqalJSZ/S6/Xk5eUxYcKEriZcedNxn7Ya/b+uB4LC3FLgb0lUIe1JRtXSeaKTUhIR2gMtAQVAcqgC6UIVHT85BFKCtAQm+XOBIpCkQA2DghUIOkermkSEZiDHj6hS49OAdECHrtKDIIL/FANqbeCC0ZI6ni8X3MeUiq1k1+5FX3cYwdmIb8aZeG59Y+Bv4jAjF03W1NRgNptJTk5m1KhR5OTk9GkSHW3tRHBUorvohNyatztBodVqo4pO+P1+mpsDeb5yOmC4qBhKsaDT6ZgzZw6bNm1i2bJlynuwadMmbr311iHZ53eRnJwcxo0b12Mr3WiIJBYiFTLHwvm2sbGRXbt2UVRUxOjRo7sdk1qtViZyoihis9mwWq3Mz9rE1oZzlMcFogs6zpkUOP+uvLbr9fjjLdFNmr/e0U5GhoFRgzwflIVCOBr14MwdqsedQ7pOQ2VlJaWlpeh0OqxWK4cPH2bylGm9b6AHLI7oUpn6glVXENJY42hTutKadiiRuwYVFhbi9/tpbGzEarWye/duRFFUCvKzsrKUms9YFAobNmzgZz/7Gf/4xz9YtGjRSA8nJhhxsdDbyXWgYkEWCPIk1efzkZOTw+TJk8nKygpRunLNQn/2EY1A6A6Xy4XFYgkxcisqKuqxy5Lf7w9Zqe0uMjGSYkKSJNra2qirq8NsDnRvyM3NZc6cOb2aCYlTL8Zb+QXafc911ggYQPLrcJ+9CvH2H6P94y1o1v8DQfSh8tmR6Jz4qxpaIbgjYkc6kJQHaEE6VIiQ3Y5gaFYMoCVvKn7Vaah1WxA8gYmkYCDQDrVKQtLp0LU6Qzo1qfa6YAb4BS3bZtyHX2OkbPw5aKf8MNSwrrIy5HPQaDQxMbGIhNfrpa6ujpqaGlwuF3l5ecybNy/q/Nz+oFKpenVvDk9zCo5OyMd8d9EJWVD4/X7q6uqoq6sjISGB0tJS5RwTHJ2oqqriX//6F3a7fche81133cWKFSuYO3cu8+bN48knn6S9vV3pjhRn4OTm5g6K83K4WOiukHmkqa6u5uDBg0yePJm8vLzen9CBSqUiIyODjIwMxo8fz9b1nfelGtUcq4XxyYH03O7aZ5/slJWVhbyvRUVFSlqX1BEzrh59Ji3+SN0AQ6kWSrp0GjVo/F26/vVEizar1yYgg0FzK6QlwfcnBsRicHHzdWd27wKtVqvJzs4mOztbyeSwWq0cP36cvXv3kpaWRmJiInV1dX0+XoeS999/n+uvv57Vq1crCzlxYkAs9EZ/xILsMyALBFEUycnJYcqUKT0WAfdlX+GTC/n/aAWCnKtvNptpaWkhLS2N/Px8JRWnN9RqteLyGYloxUR3QkLuw9+fCa3T6cRsNlNXV4fL5ep3hybfhU8gtaei/eg5BFcL4qRpeC74LdKUgNL33v1nIBPtuidADYJPCjVJU+sQ/KEFeJKUjef/PY04fzE4rCSsnYjgdCEJGpwXb4asCeB2ovv9paiPb0ZIJtBZCVA1O7t8Y4R2oBr8F/+UBecv79FvQv5bzoXvyQl7uKNCsqiuqamhvr6elJQUiouLycnJiYm8/eDWvN2lk3QXnWhpaaG9vR23261sSz7WbTYbLpeLXbt2kZSURGNjI2vWrOHDDz9kwYIF/Od//ueQvabLLrsMq9XKfffdh9lsZubMmWzcuLFL0XOckSdYLARHFGIlmiBJEkeOHKG6uprZs2dH5R3RHd29HrPZzMGDB0lJSVEmgfL156H/VCkeDn1JN7I0q8hODzwvKVFFu6Pvi3Wf7U8lvf8ZZgrhKUghEWcC3haBNK1O5LSu2rrQdMLeaHQmkpnQdaL9sfesHp+3rzGfyZm1AGS4zVhIJ9vQtRNSeauJ/OTAhetoU/THQnBx82ASbHI2duxYnE4nx48fp7q6OlAnU15OW1sbJpOJ1NTUERPfmzZtYsWKFbzwwgtceumlIzKGWOWkEQvBTsVyHnBOTg7Tpk0jIyMjqoOvt30NVCB4vV6lSLm5uZnU1FTFC2GgYfJwohUT8oTW6XRit9v7LSbCxU9mZmaffQMijvPS+/FfcDuaNx/Bd/VDEBZp8d79O1Tffoq6clvXQmWXKpB21IGkM+B68XPI7WgfmGjCdd5HGNafh/v0ZwJCAUCfgOe3/0T17fvoV10HKgeC5A8UW/vo4gEh2bPxLX0UiMZvIlA4G+6EHb5CrlKp0Ov1EQVFQkICer1+UE6oHo9HiSK43W7y8/OZP38+ycnRmSPFEuHRCY/HQ01NjdIHe/To0eTk5HQRFY2NjTz99NPs3buXlpYWVCoVhYWFJCUlcccddwzpmG+99dZ42tEJgCwWYqXjUTB+v5+9e/fS2trKvHnzuj3nD5RTTjkFj8eD1WrFYrFw7NgxDAaDIhw6HSp7ZlR+12lHjSX0fRxqF+dIbVOrWoyMSm2N8OgA4UJhIJwx3sfeqv49d19jPqcn981nAUJdsnsjJ92P3RV4j0rzQsMXPUUToqW9vZ26ujqmTZtGVlYWjY2NNDQ0KLUzcqpSZmZmv1vU95XPPvuMK6+8kmeffZYrrrhiWPZ5InFCiwXZwVIWCIIgkJuby4wZM/rtMxC+r8EQCFarFbPZTFNTEykpKeTm5jJlypQRDecOlpjQarWIoojX60Wv1ysiISUlZfBWx5PT8V33+27vdv/1QxLOLUUwtISUOAhtLuhoPCGptThf+axTKHQg5czCec1BSAztUCGKItbiudTe8h4lz95FXuU3gYJoF6ECRKXG+dRHQf1Ue0ej0ZCSktJtWk/4ey//bmpqUoqBJUnq4sgc/nd3Ik2OvFVXV2O1WjEajYMi7GKFlpYWqqqqqK+vJzU1lfHjx2MymUK+qykpKRw5coQXXniBf/zjH5SWlvKHP/yBSy65hKamJioqKpSahjgnLoM1mZfFgs/nQ5KkmBEKsskcwLx58wbUtjKYu5d7+MNbXbel0+koKCigoKAAn89HY2MjFouF7du3A2f2a1+WZhUwOLUFPRHssTDSbNmyhezsbEwmE43OxEAK0iDhlwLn8Fp7z+lQ3xw1Mn9M9+JoqJBrGCZPnqw0c8jJySEnJyfEXPDYsWPs2bOH9PR0pbZmKPyIAP7973/z4x//mCeeeIJrr702Jr7bscYJJxZEUaSxsRGz2YzFYkGlUpGTk8OsWbMG7FQcnLs8EIHg8/mwWq3U19fT2NhIUlISOTk5TJo0acgO9sGmOzEhFyrX1dVhsQRaEaWmpmIwGPD5fLS3t7N3795uIxPBEYpBExN6Pc4XPiDh6oUIbn/Iyr/kB7Qa3H95F8ZOifz8IKFgt9upra2lrq4OQRDIz89H86d38d99EeqjX4VuG/Dc+T9QOGbgryGI3oScbKQWLihaW1uVv+Vi4GARodVqcTgcNDc34/P5yM/P59RTTx2ylcjhxO/3U19fT1VVFe3t7eTl5UWMkPj9fj788ENWrVrFp59+yrJly3jnnXc47bTTlO91eno6Y8YM7mca58RFbnohCAJlZWXKSvpgTcz7S3t7Ozt27MBoNDJlypQhEfqpxu63qdFolEmeKIp8VB75cVu3tyt/Z2QEFshOGRVYGb/uTAfPfzQ018TuipvlQu2Ne0Zusa6kpASr1UpFRUWgiUJh34TWAWkSE4X9vT7O6Yk8V/nmaN/ytuR6hYEiC4UpU6ZETLcMNhccN24cDodD6a506NAhEhMTFeGQmpo6KPOHrVu38qMf/YiHH36Yn/zkJ3Gh0A0nhFjw+/1KAbDFYlFOUrNnz1Z6Qw8UWZA4HA4aGxuVyZW8gtSbQPD7/TQ0NGA2m2loaCAhIYHc3FzGjRt3wk/GZCM4uVBZkqReC5X7m+bUbzExcSqeXzyB7r67EcSOKjEB0KTgfuQ5xNmndftUuS1obW0tdrtdqbHIyMhQ9u/+80fo/2Me6qp9SpcJ//zz8C+5vi9v5aAQjZGaXDchRyTk911uPSqKIjU1NTQ1NcVM3UR/cDqdVFdXU1NTg06no7CwMCDwwroY2Ww2XnnlFV544QXa29u54YYbePnllykoKIj51xhn5JDTjlQqFfPnz8dqtVJbW8uBAwdIS0tThMNwR4mbmprYuXMnhYWFjB07dkiO4buXe3hhU3QT+cD1sW8r999U5TI638GN5zqV2/5nQ9/ScQP1CpFf+4XTXLy3O/C5yFEFWSiMNHL7Wjk7otXTQoMrFZ8fNAPUfOWt/UuX+mhnMplh5Q1ycfNgYLVa2bVrF1OnTo26LisxMZGioiKlmFxOV5KjaSaTSUlX6k/nuu3bt3PxxRezcuVKbrnllvi1oAdiVizIk2+Hw8GePXvQ6XRKb/fBUpThEQSj0agoX7fbHTKZjfSjUqlobGykvr4eq9WKXq8nJyeHMWPGnJA53+FEKlSePHlyVDUgfU1zcrlcipiQU236Kib8V/wEd2Y+tLZAUjIkpyAWFUNxV7t7OUJVV1eH1WolJSWFgoICcnJyIudICgLul7/CcOVUhJpKpJw8PA+v6dsbOkzIEbKmpiZqamrw+/3k5+dTUFCg5PP3p24iXEwMVt1EX5FfW1VVFQ0NDWRlZSm1ScHHgyRJ7N+/n1WrVvHaa68xbdo0Vq5cyY9//ONBrxGKE5sM5DoRXsgst7EuLS1VOthZLBYOHToUseh3qKirq2Pfvn1MmDCBwsLC3p8wAG44x8kLmxK44Rxn7w/uI0umNRBwxhw8ZI+Fi2YGxhssGML54VRXr9GFNI0NgPy8oWk6oFKpyMrKorV2+NKBeosq5KQHUqKaO4ZUXqeGboz5osVisbB79+4+CYVwtFotubm55ObmIoqikq505MgRdu/eTUZGhiIeosng2LlzJxdddBH33HMPd9xxR1wo9EJMiQXZrKu+vh6LxYJOp0OlUlFcXMyYMWOGRCAEpxhlZGSQmZmpjCV4VdzpdNLS0oLZbMbhcCidMeTOKiaTCaPRqEzG/H7/CZn/LRdh19XVDWqhcjhDJiamzeoxMiFHSGpraxEEgby8vOhTcdRqXH/dju72C/H89nmIsc9XkiQaGxuprq6moaGBjIwMxo0b1yVfH/pXNyFH3QajbqI/+Hw+amtrqa6uxuPxUFBQwIQJE7pcGHw+H++++y6rVq3i66+/5tJLL+Xjjz/mlFNOiV8Q4kRFb4XMBoNBWfEMLvo9evQoSUlJinBITk4etGNOkiSOHTtGZWUlM2fOVK5VQ81QCAWAL7/8UnmvTCZTn1szf7Y/ck6+LBRkLpwWvXHaZ/tTOWNSS5/GES2SFDgOUovGd/uY7BQ3TY7hX8iIZMbW1OwjI33gU0RZKEybNq2jEH7gqFQq0tPTSU9PZ/z48bS3t9PQ0EB9fT0HDx4kKSlJSVeKlP2wd+9elixZwh133MEvf/nL+HUhCkZcLPh8PsVFWV6dz83NZf78+aSkpPDNN9+QkJAw4BWiYIEg/+6pBiF4MiuvZMpdjDQaDXl5eYojYXABam1tLU6nE7/fj06n67IaHtxRKFZ6c8tRnLq6OhoaGjAajUqh+Ejl5Q6mmNDr9UiSpKyYp6WlMX78eHJycvr+GRgS8Dy/eRBe4eDhcrmoqamhtrYWURS7nUT3haGqmwiPUkTjN2G326mqqqKuro7k5GRKSkoitnRtaGhg9erVvPjii0iSxE9/+lPefPPNQbtAxflu0FdH5vCiX3nScvz4cfR6vSIcBhIRF0WRffv20dzczCmnnBKTkeu+tE/9piqXi888U8lHr6io6IjontunfYanIIULhZHgm/IMTilt6tNz3vomi+9N64PJQhREqleoskUWZN8c6JwK7jwoMmOCilRjbAqFSMjXquLiYsX7wmq1sn37dlQqFSaTCafTyfjx46mpqWHx4sX87Gc/47e//W1cKETJiIsFp9PJ4cOHyc3NVdJ3gj+8/pqy9SQQorkABLs9B7dinTFjRq91EuE54/JP8EQqeFU2UoqTXq8fcsO05uZmpVBZ7hd9otRYRCMmZPMtm82GTqdDr9ej1+uV1La9e/d22xZWFhmxeiKR06iqq6tpbGwkMzOTCRMmdDEaHCr6UjfRH78JvV6vtNdrbW1VamTC29FKkkRZWRnPPfccb775JvPmzeOPf/wjy5YtG7aWe3Fil758f+Vrhhw17k/HI41Go6RKyA62FouFHTt2hJhUyQtN0eD1etm5cyc+n4958+adNCl08jUnLy8Pv99PU1MT327p2zaaWyVuOq//AuH0kga+OJ4FQHlt/8/1+Xk51NbV89GRrimvg8WextCUswPSpD5vw9zY9TV+tLOr8Nx5UCTVGDg+rz+7f+9vfX09e/bsGXKhEE7wcRXsTL5y5Uq++OIL0tPTmTFjBj/96U9j9voei4y4WEhJSeF73/tet/cPxCitPwKhtbU1xMwtOzubadOm9anTUm+99iVJwu12dxET8kTK7XaHGEdFEhRarbbPB3p4obIoiuTm5jJ79uxeHZVPFNrb25VuRpIkkZ+fz6RJk7qsxMm99uX3Xo5MNDQ0dPkMYklMOJ1OJYoAUFBQwMSJE2Ouy1Zf/Sbk383NzbS1tYUYqBkMBlwulyKMPv30UzIzM6murubNN99kz549XHXVVWzZsoUZM2acFMdxnOEl3JFZjjoPhGBxIPsAySutkiRhMpnIzs4mIyOj23Q9h8PBjh07SEpKYtasWTGd2tqfRT0ZtVrdLx+DgQiFlpYWduzYAVk/7PFxNl8a+VFsb6BC4fPdWiaUqJQC5z2NhUzNrB7QNvuKyx34DOWoQn/Nz+vr69m7d29EI7vhJNiZ/Mknn+Tyyy8nKysLp9NJaWkpM2bMYPPmzd0afcbpZMTFQm8n5L4apfVHILS1tSmGYj6fr0+FvP1BngAZDIaITpuiKIZMomT3Zbn41Ov1Kiuy4alN8t/BnQHkQmW53mKoX99wI9dZ1NbW0traSnZ2NpMmTerRrTvcwCucWBIToijS0NBAdXU1TU1NZGVlMWnSJLKysk7oibFcN5GcnExLSwstLS00NTWRnp7OpEmTSE9PV1Kd5M+gsbGRVatWUVdXR2Njo9LetqGhgZkzZ470S4pzAhJcnxBN57v+oFKpyMzMJDMzk4kTJ9LS0kJ9fT0HDhzA6/WSlZVFdnY2WVlZyrnbZrNRVlZGXl4e48ePj+nvuiiK7NmzB5g6oO3ceZE7qo5Iza0D82VobGxk586djB07ln1htcXBdQs2XxqTRw19JOcXSz388W0dB4+LTBkz8OOvvE5Nbmbv79HWo0bkLlaZ6Wpcbom0VM2A6lTkiMJIC4VgKisrWbJkCRdccAHPPvssKpWKhoYGPvnkkyETCs8++yyPP/44ZrOZGTNm8PTTTzNv3rxen/faa69xxRVXsHTpUtavXz8kY+sPIy4WekMQBEUAyMjiQRTFEKEQrUCAQB60HEFwu92YTCYmTpzY4wRzuFCpVD2m2Ph8vi7F13JUQq6X0Gg0aDQa/H4/Xq+XpKQksrKymDJlCsnJySP+GgeKXEdSW1uLxWIhOTmZ/Px8Zs2aNSjpJ4MlJiIJiWjFhMPhUKIIKpWKgoICJk+ePKJmfoOJ3+/HbDZTVVWF0+mM6Pug0WhISEjg8OHDrFq1ig0bNnDGGWfw0EMPcf7551NfX09FRQV2u30EX0mcE5WRcGQO7iU/fvx4ZSHo2LFj7N27l8zMTPR6PbW1tYwbN46ioqIhH9NAkNOk/P1dhu6GSC7OBTmhU5avvvoqpAtVNJ+f2Wxm7969TJ48mby8PPbtGdRhd8HmDlxDpuh690UYKPsa89H103zu2HEn918tce8LfjinfxEs+b2NJaFQW1vLokWLOPfcc3nmmWeUuU9WVhY/+tGPhmSfr7/+OnfddRerVq1i/vz5PPnkk5x//vkcPHiwx5Ss48ePc/fdd/eYbTNSnBBiASILBPm+aE/y7e3tikBwOp2YTCbGjh1LVlZWTId3w9FoNEobv2DkblJyobJWqyU1NRWtVqt07KisrESSJKUlZqTIhMFgiNlVLDmPva6uDlEUuzXfGmr6Iyba29tpbGzsUUzIKTeNjY3YbDays7OZMmUKmZmZMfuZ9BWHw6F4IxgMBkaNGkVubm6XPtlOp5M333yT559/nqNHj3LNNdewY8cOJk6cqLwXckeaOHEi0dN3pq+FzEOBIAgYjUaMRiNjx47Fbrdz6NAhqqsD6SdWqxVBEMjOzo7JWgWXy8WOHTswGAzMmjWLDXuHb9/Xn9VCQ0MRFouF8vLyqIrJq6urOXToUMhk9odTXfzlg6FP49zrmcTCsYMrqILZ1xiaLGVuFEKiC19+62B0aff1iPdfHXjsIzf0by5UV1fH/v37mTFjBllZWf3axmBjNptZtGgRp512Gs8999ywzfOeeOIJbrjhBq677joAVq1axbvvvsvLL7/MPffcE/E5fr+fq666igceeIDPP/8cm802LGONlpgWC3JLU3myFTyZiPbkLqfg1NfX097eTmZmJqNHjw4J957IdFeoPH78+IiRifB6CXlC29zcrPwfPokNFxPDbdbl8/mUNKOWlpaYigJ1R1/EhNxFSE4Tg85jv62tjYqKCiwWS58jE7GE3Na1qqqKxsZGsrOzmTlzZpdmAZIkUVVVxYsvvsjq1avJysri5ptvZsWKFd3WPsSJ0xPhqayDUcg8FIiiSGVlJW1tbcyfPx+tVquYkR48eBCj0ahMhrs7rwwndrudHTt2kJGRwaRJk6IyZhuVP3jXXJ1OR35+Pvn5+V2KyeUOOHJNiCAIHD9+nOPHjzNr1qyI6b/BfLY/VakdmDxq4B2W5Lapg022oRnoKhT6Q2VlJSaTqV/1b7JQmD59eswIBavVypIlS5g1axYvv/zysAkFj8fDtm3buPfee5XbVCoV5557Llu2dF/B/+CDD5Kdnc3111/P559/PhxD7RMxN1sOjyAkJydTUVGh2KLLk6XExMRuW5G6XC5FILS1tZGZmUlRUREmk+mk6ZDS1tamGKbJhcqzZs3qtT1fNPUSkdJrwp2XuzOqk52vB4osgmpra6mvrycpKYn8/PwRbec6mMhtXVtaWpSOTdnZ2UyYMIGMjAwkSQoRE06nU/E56C3NKdg0baQnQV6vl9raWqqqqvD7/RQWFjJp0qQuqVSiKPL555+zatUqNm7cyHnnncerr77KueeeG7OCMM6JR7DRGgxOIfNg4PP52LVrF263m/nz5yvfj+LiYoqLi3G73YqXw5EjR0hOTu5z+s1g0tzcTFlZGUVFRYwePVrZf7TtU6tqff3fd4R6hfBicpvNhsViYf/+/Xi9XvR6PW63OyqhMBj0p33qYNDSrmJ0tgvo+4TfarVy6NChXj0KwgmOKAyX90dvNDY2smTJEiZOnMjf/va3YV0YbmhowO/3dzGfy8nJ4cCBAxGf88UXX/DSSy8pztSxSEyIhXCBELwKVFJSQmlpKV6vVzGGkieycsGv0+lEkiS0Wi2SJOHz+UhISCAjI4OxY8eSkpLSr+5BsYbL5VI6GcmFyr0V8vaV3lbE/X5/ly5ONpuNuro6nE4nPp8vRNRFEhM9KXyHw6F0M/L7/eTl5TFv3rw+G/bEMna7nZqaGurq6tBqtRQUFDB9+vQQESQIQp8iE72JiUiiYijFRFtbm+KNIKdYZGdndzlO7XY7r732Gs8//zy1tbVcd9117Nu3L2QCEifOYDAchcz9QU7l0ev1nHLKKREnNnq9nsLCQgoLC5U+8nL6jcFgUCbKw9HVTu50M378+H47SN+93NP7g/pJcAeccePGsWvXLmw2G3q9nm3btpGRkaEYwfWW2jVUhnSDRbQRhS+/dfT6mDlz5nTxKJC7VJlMpogNUWprazlw4EBMCQWbzcbSpUspLi7m//7v/2J+gbitrY1rrrmGF154IWaiMpEYcbHwyiuvsGPHDkpLSxVhUFRU1GVyr9Vq0Wq1IZNGj8eDxWJRVmb1ej3JycnodDo8Hg92ux2LxYLX6+1xApuQkBAzF45w5E4/ZrMZm81GRkYGxcXFZGdnj0galVqtjlgvIRPuL+FyuZSiX6fTiSiKilldsKeEXKTd1taGyWQaVs+A4cDv91NfX09NTY3SsWn69Ol9askbTF/TnILFhGykNthiQhRFLBYLVVVVtLa2div0ZCfa559/nr///e+MGjWK2267jauvvvqE8PiIc2IhN8kY7kLmaGhtbWXHjh1KamU057twfwJZOGzfvh2NRhPi5TDYr7OqqorDhw8zderUqHrnf72jPfT5A4go9BW/38+uXbtwuVwsXLhQ8W6xWq3KJFdO7YJQzwJNPzJWrv2eg1c+H3h62MdftPH90/u3ODY6u2dRkJUGDbbQ21KSVbTZA9GgcI+C5uZmrFarEqHJysrCZDKRlZWF1WqNOaHQ2trKsmXLyM7O5s033xyRLAS5Blb255Kpr68nNze3y+OPHj3K8ePHWbJkiXKbHPnUaDQcPHiQMWPGDO2go2DExYLRaMRut/POO+9w/PhxKioqkCSJUaNGhQiIkpISRo8ejdFo5N1332X+/Pm0tbUpbsPTpk3rtkuM3M89+EdOq5GjEpFy9OVUp+GOSoiiiNVqVVytU1JSyMvLY9q0aTFZ5BaMLOoitSOTJAmPxxPSwclsNuN0OkPyitva2qisrMRqtXb5TIa7XmKg2O12qqurqaurQ6/XU1BQMCypVNGKieCUs/6KCdlBurq6GrVazahRo5g5c2aXFR2/38+mTZtYtWoVmzdvZsmSJbz11lucccYZJ40ojBN7xKpQsFqt7N69m9GjR1NcXNyvcanVanJycsjJyUEURZqamrBYLOzcuRNAEQ4DbZMtSRJHjhyhpqaG2bNnk5aW1u9t9ZXPd/d9Zdjr9VJWVoYkScydO1c5F8ldBktKSkJSu8ap3uGwuKSXrQ4dbW1tQHQT7qyk7qMd/96j57Sp7j7v/44lXZ8T3O53woQJtLW1KW7bgTa5UFhYGBP1MxC41l5yySWkpKTw1ltvjVjXQJ1Ox5w5c9i0aRPLli0DAuegTZs2ceutt3Z5/MSJE9m9e3fIbb/5zW9oa2vjT3/6E6NGjRqOYffKiIuF5cuXs3z5cqDT9bWqqopjx45x5MgRjh07xo4dO3jppZeora3F5/NRWFjIvn37gMDJsLS0VBEUhYWFqNXqkBOv3M89UipLeMGvw+Ggvb1dWQ33eDxdPA3C6yUGY6Ij5+jLtRZarZbc3FzGjh170qy2yit8jY2N1NXV4fP5yMvLIz8/n5SUFERR7GJWF/5ZyPUS3Tlfx0LIUW4JWlNTQ1tbGzk5OVHVkwwngyUmVCoVfr8fvV5PZmYmGRkZJCQk4Pf7UalUqNVqWlpa+Nvf/sYLL7xAS0sLP/nJT3j++ecZNWpUzLwfcU5O9u3bx5VXXslFF13EsmXLmDBhwkgPCQgUkx45coQpU6Z0yW3uLyqViqysLLKyspg4caKSt79v3z78fn+Il0Nfij1FUWTfvn00NzdzyimnDOv16N97dEBojUK6UeDyU7tfQXe73ezYsQOdTseMGTO6fa3BqV0+n4/DH3d9TGNjI+np6f26xkdbt9DS0sL27duB8/u0/Yb2QF3CD6e62LhnaCfGwV27DAYDBw4coKCggPb2dv7973/3uc5hsHE4HFx66aVoNBrefvvtETcpveuuu1ixYgVz585l3rx5PPnkk7S3tyvdka699loKCgp45JFHMBgMTJ0a6k8ii/Hw20eSERcLwciur2PGjGHMmDH84Ac/AAInqwsuuIAbbriBH/zgB0oaQ3l5OUePHmXbtm0cP36cqqoqVCoVRUVFlJSUKNEIOTpRWlpKSkpKyIHcW8GvnKMfXCsRnlYjtyENFxHRrIQHOyr7/f6oC5VPJOQUnNraWmw2G1lZWYwfP75LmlFw4XR32wn3l2hpacFsNuNyubqkm0USFEPZEaGtrY3q6mrMZjMGg4GCgoJB830YbroTEz6fj7q6OqqqqnC5XGRmZmI0GpXPpqamBpfLhc1m4+qrryYjI4OWlhbFqf3SSy/liiuuGKFXNXh89tlnPP7442zbto26ujreeustZRUJAuL//vvv54UXXsBms3Haaafxl7/8hXHjxo3coL+DFBYWctttt7Fu3Toee+wxxo4dy9KlS1m+fHlQB5/hQ5IkDh48iNlsHtIV+uC8/QkTJtDa2qoUR+/ZsydEOPR0fpILrz0eD/PmzYv5yLbT6WTbtm2kpqYyZcqUqD/f7lJ69+zZgyiKykS4r0LL5k7ssROSXCg+evRozi4OGLOF7D9KF+cfTnVx40M2Jk/PYdfx0Otnsr7ndq3Xnx19XYbcenbWrFlkZGQA9LnOYbBxOp1cdtlleL1eNm7cOOxt1CNx2WWXYbVaue+++zCbzcycOZONGzcqCwOVlZUnXDRdkAbi0R5DyCkuFRUVIVGJ8vJy5XdbWxtZWVkhqU2yiCgtLSU/P79PYerwqETwj8PhUFbCw0WERqMJMfAymUzk5eXFdCvQviJJEjabTelmlJCQQH5+Prm5uUN2wZGL4CN9HuH1Et21hu3r++/z+ZQogt1uJzc3l8LCwhFZXRlK2tvbqa6upra2loSEBMUbIfzC6fP5eP/993nuuec4cOAACxcuZPz48ajVaioqKtDr9bzwwgsj9CoGj/fff59///vfzJkzh4svvriLWHjsscd45JFH+Otf/0ppaSm//e1v2b17N/v27TtpTPVOJCRJoqWlhQ0bNrBu3To++OADCgsLFeEwffr0IT/3+v1+du/ejcPhYObMmSOSviFJEu3t7dTX12OxWGhvb1cKfrOzs0PSI+UVeq1Wy4wZM6KukZO7IQFs21TG7O/PVP7PyAgc+70VOAe7OItBUxTZlC1SZMFut7N9+3alq1xfz7/BXgtyzcJPvu+gpaVFSVeSF0jkyXB4OmmkmoWxeYEUn3CPBdlFOrhQ/I9v66ivaw+pWZDFwp7GwGOykpxKVAECQkHmyXf0pCSHHsdj83188O/AGObNSgqpWeivUOiuo1RwnYPVasXr9ZKZmRmVMO0PbrebK664gqamJj744INhTY/7rnHSiIWekDssNTQ0dBER8t/V1dXodDqKi4uVqESwkCgtLSUxMbFPJ6DgzkF2u10p4PV6vcpjdDpdFzEh/3+i5edDQOXX1dUpKWO5ublKmtFIvhY5xa07IeFyubrUroQLCjlHX5IkWltbqampwWw2k5iYSEFBAXl5eSeFd4eMJElYrVaqq6tpbm4mOzubUaNGRYx6NTY28te//pUXX3wRr9fLjTfeyI033kheXt4IjX74EAQhRCxIkkR+fj6/+MUvuPvuu4FAqkFOTg6rV6/m8ssvH8HRxoFAFPDdd99l7dq1vP/++5hMJpYuXcqyZcuYO3fuoAsHeeKt0WiYMWNGzEQbHQ4HFosFi8VCa2srqamp5OTkkJyczN69e0lPT2fy5Ml9fj9kwTAUYiGSULDZbOzYsaNLK9e+IgsGjbprJyRZaMnCoa2tjbS0NKWzUkJCQkSx0Nzi5+eLQ2sCrFYru3btUlykZeTIwpQxne93T2IhWCjIvLQ5NLIwGGIhGqEQjiRJSp2D1WrFbreTlpam+F8MNFXI4/FwzTXXUFNTw0cffaREOuIMDSfPzKYH5F7a8urJwoULQ+6Xe9ofP36co0ePcuzYMY4ePcqXX37JP/7xD8rLy2lvbycnJyckKiGnOZWWlpKbm9ulZ7cgCDgcDsVROSkpSXms3LEpOBIhF/3KrS/D/QzCRUWsuE77/X4sFgu1tbU0NzeTmZnJuHHjMJlMMRMpkVPcdDpdRHOvSL4G4Z+HIAhotVqlWDIlJYXS0lIlTz9WPo+B4vF4lIJlSZIoLCxkypQpXSJCkiSxa9cunnvuOd544w3mzJnDo48+ysUXX3xSeGH0l/LycsxmM+eee65yW2pqKvPnz2fLli1xsRADpKSkcPnll3P55ZfT3t7Oxo0bWbt2LUuXLiU1NZWLLrqIpUuXcuqppw74e93W1kZZWVm/J95DSWJionItc7lcSqeg1tZWZSHL6XTGdN2cvEI/duzYIXVzFwRB6QRYWlqqvF8Wi4VDhw51pL98v9ftmM1m9u7dy9SpU6OuV5GFgkx4dCGYNruoRBfG5nfffSpaoVBVVcWRI0f6nDYXXOcwZswYpbGM1Wrl8OHDA6pz8Hq9/Od//icVFRV8/PHHcaEwDHwnxEJvCIJAQkICkyZNYtKk0BZqclSivr6eo0ePcvToUSUq8fnnn1NeXq6kZpSUlFBcXIxer8dmsyEIAr/4xS/Iy8tj/vz5XXLp9Ho9er0+4hdQzgEPrpWQJ65OpxO/36+k1ESqlRhqQy45rF9bW6vk6Ofn5zN16tSYz2uNhHwMhK92yK9TrkXQaDRkZGSg0+lwu91YLBYqKirwer1dCuHDoxOxHnVoaWmhqqqK+vp6UlNTGT9+fETB5/F42LBhA8899xw7duzgiiuu4PPPP2f27NknXCRsKDCbzQARTXnk++LEDklJSVxyySVccsklOJ1OPvzwQ9auXctll12GXq9nyZIlLF++nNNOO63P3+HGxkZ27do14BXv4UB2hW9vb2fs2LHo9Xrq6+spLy8nISGB7OxsJerQn9cRbVShL8gT7/AV+oEQbdtUg8HAqFGjGDVqlJK3n2DZws7WBcpjmltCU4/klq3Tp0/HZDINaJyRogoyVVWB+8YO0DFbFgqzZs0acIpPQkICRUVFFBUV4fV6FcftvtY5+Hw+fvrTn3LgwAE2b94c094EJxOxPXuJAeRogdx7+PTTTw+5X5IknE4nx44dY8OGDfzhD3/A6XQyfvx4EhIS+PGPf4zT6SQ/Pz8kvUn+PXr0aEwmU5eohFqtVtq8hSOn1AQLCafTSXNzs7Iy3pPL8kAmri6Xi9raWmpra/F6veTm5jJnzpyTLkff6/VSV1enFOzm5uYyf/78bs3hgtvzypGJcHGn1Wq7NaobKa8Pufi8qqqK9vb2boUtBPpEv/zyy7z88stotVp+9rOf8fbbb8dP1nFOGhISErjooou46KKL8Hg8fPzxx6xZs4Zrr70WQRBYtGgRy5cv54wzzug1elZdXc3BgwcHdSI7lMipJsEdmvLz8/H5fIqXwzfffINOp1Oi9MPRiOPLf+1j4fmTAaip71wplz0fBmPiLXPTeU5e2JTQZzO2YH+CnZ93vX/v3r2oVCpqa2tDioP7y87jicwt7X2Me8vV1NT2bsgWicrKSo4ePTooQiEcudtjbm5uRD+H7uoc/H4/t9xyC9u3b+eTTz4ZtE5icXrnO1GzMFzU19fzzTffcP755ytu0pIkUVtbq0Qlwouu6+vrlb7P4elNwZGKvppjdVd0HR6ViOQtEb6/8DSjjIwM8vPzMZlMJ03qDXQWZdfU1FBfX09KSgqFhYXk5OQM6HV2Vy8RnO4kSZLSVSuSkDAYDIN6UXY6nVRXV1NTU4NOp6OwsJD8/PwuIlKSJL755htWrVrF+vXrOe2007j11ltZsmRJzEdKhovwmoVjx44xZswYduzYwcyZM5XHnXnmmcycOZM//elPIzPQOP3G5/Px6aefsmbNGtavX4/b7WbRokUsW7aMs88+O6RoXfYkqK6uZubMmVHneI8UcnfBysrKXsfr9/sVLwer1RqS3hvcYvSHV20Ped7s78/sU2QhuGbhi417FbFwZH8Df/5/KZSXl1NRUTEkE9mBEly30Nzi55qFdRw9ehSbzaa0t+2p4PePb+tCahbCyUpyMre0+2vBk+/osTV3vsdeX9duSA/9Z88LU0MpFHoiUp1Damoqn332GT/84Q/5y1/+wqeffsrmzZuHNOUsTlfiV/tBJCcnh8WLFyv/y9ECuZfzmWeeGfJ4SZKw2+2Ul5crhdfHjh3jww8/VE6GHo+HwsJCRTgEt4IdPXo0GRkZXaISKpWq16hEuIiw2WzKBFZOydFqtcqKuVarVbpMxEJrssHE4/EoUQS3293j6np/iKZeIryrlsvlCokUBRukdecv0ZuYkCSJpqYmqqqqaGhoICsri2nTpinHUDAul4s1a9bw/PPPc/DgQa6++mq2bdvG5MmTT6oI0lAg1yVt2rRJEQutra1s3bqVm266aWQHF6dfaDQazjnnHM455xyeeeYZ/v3vf7NmzRruuOMOWltbueCCC1i2bBmnnnoqt9xyCxdeeCE//vGPYzrXHwILS/v376epqYlTTjml13NecLqIvCJssVhCWoxG4+zcV4KjC4cOHcJsNjN37txuI72xRHNzM+3t7cybNw+VSoXFYuH48eNKAblcIB0sOAfi4jxQ5I6Ss2fPjni9Gkoi1TkcP36cDRs28OCDD6LRaLj++uupr6+nsLAwpup/TnbikYUYRZIk/H4/NTU1iog4cuQI5eXlSmSioaEBo9FIcXFxl9SmkpISioqK+uw+7XA4lLx1r9dLYmJiiGjw+Xwh6TTh9RKDvQI+VMgmeDU1NVgsFoxGI4WFhWRnZ8dctEQ2SOsuMiEbB/ZkVGexWKiursbj8VBQUEBhYWHE+oyamhpefPFFVq9eTVpaGjfddBPXXXddzK3ejTR2u50jR44AMGvWLJ544gnOPvtsMjIyKCoq4rHHHuPRRx8NaZ26a9eueOvUkwxRFNm6dStr1qxhzZo12Gw2TCYTd955J5deemlML6z4/X527dqFy+Vi1qxZAzou5douubOSx+Ph9y+lhTxm9vdn8vD10U3u5MjCFxv3KrdlFwVEyFWn72L27Nkx4xwcCTm60NziZ2bKB8yZM6fLseBwOJQCadmLJjs7m3W7JnRpnxpMjVXosTh5IJGFkRQK3SGKIr/61a945513+PnPf87XX3/Ne++9x8KFC3nvvfdGenjfGeJi4QRFbt8Znt509OhRjh8/TkVFBaIoMmrUKCUqEd4KVg43OxwOxSegqamp2zSjntqPOhyOkBXwSO1gDQbDiLcM9Hg81NbWUlNTg9frJS8vj8LCwphfAeyJ4Ba94e7XcoqTIAjo9XpSUlKUz0YQBBoaGhgzZgxlZWWsWrWK9957j3POOYdbb72V888/P+aE02CwcuVKHnjggZDbJkyYwIEDB6LexieffMLZZ5/d5fYVK1awevVqxZTt+eefx2azcfrpp/PnP/+Z8ePHD3j8cWKPAwcOsGjRIkaPHs2MGTPYsGED1dXVnHvuuSxdupQLL7wwpuq6PB4PO3bsQK1WD3orVzlifunPDofcbszK4O+P50fdKe1/Nui7iIVrz9zL7NmzY76JxiufJ9Lc4md26kfMnj271+uLx+NRhMP/bQ249g6VWOhOKBw/fpzy8vKYEworV67kH//4B5988oniwC5nAxQXFw/Jfp999lkef/xxzGYzM2bM4Omnn2bevHkRH/vCCy/wyiuvsGfPHgDmzJnDww8/3O3jT1TiYuEkRJIkfD4fVVVVShtYuYuT/NPU1ERycjJJSUnY7XYWLVrEhRdeSEZGBqNHj6awsBCNRtPnWonwFfDgIuzwqER4dEKv1w9JWFFOv5GjCOnp6RQUFJCdnX3ShTFFUcRqtVJVVUVLS4tSRKbVaruIiV27dnHnnXfi8XgQBIHc3FxOOeUUzjvvPG655ZaRfilDxsqVK1mzZg0fffSRcptGo4kXasfpN5deeinjxo3jv//7v1GpVIiiyJ49e3jzzTd56623OHz4MN///vdZunQpixcvJj09fcSEg8PhYPv27RiNRqZOnTpk58DwugVjVgY3LjnSbepNOJfcfCTk/+yibJ76RcKILzj1hiRJ7Nu3j+bmZubMmdNnPwGfz8evXpRCxELZ/kBhtylL22vL0yffCQgpWTBEIxZkoSA3K4kFJEni4Ycf5sUXX+Tjjz9mypQpw7Lf119/nWuvvZZVq1Yxf/58nnzySd58800OHjwYMcXuqquu4rTTTmPhwoUYDAYee+wx3nrrLfbu3UtBQcGwjHk4iIuF7yCSJPHb3/6WJ598kvnz5zN58mScTqciJCorKxEEgVGjRkV0ui4tLe3XKllwVCK8k5PLFWj1FpxKEx6d6OtFwu12K1EEv99Pfn4++fn5J3QUoTvcbrfijSB/dvn5XVfxJEmivLxcWQ0pKCjg2muvZfbs2dTX13P8+HGMRiO33XbbCL2SoWflypWsX7+esrKykR5KnJMEr9fb7flJkiT279/PmjVrlEnEGWecwbJly1iyZAlZWVnDJhxaWlrYsWMHeXl5jB8/fkj3GywWjFmB7j9/fTRHWUG32WwYjUalQDo8rSiSWPjLPbExke0OWSTa7XZmz549oNSujXsCzw0WCgDzsr4mOzubzMzMiE0m+ioW5PrI2bNnx5RQ+MMf/sBTTz3Fxx9/zIwZM4Zt3/Pnz+eUU07hmWeeAVAyNG677TbuueeeXp/v9/tJT0/nmWee4dprrx3q4Q4b8QLn7yCCIHDnnXfyq1/9qssJWk41krshyClO27dvZ+3atZSXl9PS0kJmZma3Ttf5+fmo1eouFyKtVotWq414QhJFEbfbHSIiWltbqa+vx+l04vV60Wg03fpKGAwGVCoVkiTR2NhITU0NVquVjIyMmDOIGyzkPOGqqiolYjJp0qSIkw9RFNm8eTOrVq3io48+YtGiRaxdu5azzjrrpHtfouHw4cPk5+djMBhYsGABjzzySLy7Rpx+09NChiAITJ48mfvuu4/f/va3HDlyhLVr1/LKK69w5513snDhQpYtW8ZFF12kmHsOBQ0NDezatYsxY8YMWfpGbwT32vd4PEqNw5EjR0hKSlKEQ3h+v1yvEMvINSBut5u5c+cOmTGlwWDg6NGj7Nmzh4yMDCVKI+/vjiVuRTD0hiwU5syZEzPF4pIk8dRTT/GnP/2JDz74YFiFgsfjYdu2bdx7773KbSqVinPPPZctW7ZEtQ2Hw4HX6z3pjOLikYU4USMfKg0NDYqICP4pLy+nuroajUZDUVFRiJAIbgfbH1Of3molJElCo9EgiiIQcMyV+4AnJib2OaUqlvH7/ZjNZqqqqhQPj+7qLlpbW/nHP/7B888/T2NjI9dffz033XQTxcXFJ8370Vfef/997HY7EyZMoK6ujgceeICamhr27NkTMxfMOCc/kiRRUVHB2rVrWbduHVu3bmX+/PksXbqUpUuXUlhYOGjf0draWvbv38+UKVPIzc0dlG1GgxxdkCMLb/ypJOLjZFMzi8VCQ0MDOp2OJ/+v05tCFguxGlnw+/2UlZXh9/uZNWvWoKVKPfpm53quHFmQ05Da29uVFratra3KNc9kMvH8pvSIkYXgqEKsCoVVq1bxu9/9jo0bN3LqqacO6/5ra2spKCjgyy+/ZMGCTnO9X/7yl3z66ads3bq1123cfPPN/Otf/2Lv3r0nVTOLeGQhTtTIFy65dV74F1luAVpRURESlfjqq6/4v//7P8rLy7Hb7ZhMphBPieCoRF5eHiqVKqqohCRJNDQ0UF1dTUNDA4mJiRiNRjQaDU6nk7q6Oo4dOxYSlYhUKyFHJWIdh8OheCPI7qG5ubkRvREOHTrEc889x6uvvsrYsWP55S9/yRVXXBHTHUSGiwsuuED5e/r06cyfP5/i4mLeeOMNrr/++hEcWZzvEoIgUFJSwi9+8QvuuusuampqWLduHevWrePXv/41s2bNUoRDaWlpv4SDnHYoexLE6mpnsKlZY2NjtymCoijG3Lna5/OxY8cOBEFg9uzZw+Y/k5SUpFw3XS6X4k1w+PBhYFGPz5V9NWJNKLz00ks8+OCDvPvuu8MuFAaDRx99lNdee41PPvnkpBIKEBcLcQYRuRPShAkTlK4FMrJBncVi6RKV2LJlC+Xl5dTU1KDX6ykuLo7odF1SUkJCQgJHjhyhublZqXMoKChg4sSJ3RaSBbsry2lOVqs1xBCtt1qJkVqFl9OqqqqqaGxsJDs7m5kzZ5KWltZlTH6/n/fff5/nn3+ezz//nOXLlyst5mLtAhtLpKWlMX78eKUVapw4w43sx3P77bdz2223UV9fz1tvvcW6detYuXIlU6dOVYRDtLUGkiRx4MABrFbriHoS9BZVCEZOlRo/fjxr/zyqS93CZ599png5ZGZmjvh5zev1sn37drRaLTNmzBjS7nE9FTbLi0ejRo3C6/WyZ2Pg9qpjVnKLOgWiKIqUl5dTVVUVc0Lhb3/7G7/+9a955513OP3000dkHFlZWajVaurr60Nur6+v7zUi94c//IFHH32Ujz76iOnTpw/lMEeEeBpSnJhAkiTFgKU7t2un00lSUhJut5srr7ySKVOmkJ6erqyu5OTkdDGoi2a/4bUSwT+yh0F3tRIJCQlDcsHyer3U1tZSVVWF3++nsLCQgoKCiKsVTU1N/O1vf+P555/H5XJxww038NOf/pT8/PzvbKpRX7Db7RQVFbFy5Upuv/32kR5OnDgK8mLB22+/zdq1a9m0aRPjxo1j6dKlLF++nEmTJkX8jvv9fnbv3o3D4WDWrFl97sgz2Pz458d7FQtms5m9e/cyefJk8vICKUjBYmHNs2Ow2WxKnYPX6w0RDsPtKO92u9m+fTsJCQlMnz59yITLo29quOdSX5+eI7dPDRcL3y/ejCRJjB8/noKCgphojS1JEq+99ho///nPWb9+Peeee+6Ijmf+/PnMmzePp59+GggIrKKiIm699dZuC5x///vf89BDD/Gvf/3rhIyIRENcLMSJeSRJ4sEHH+SFF17g/PPPZ+rUqTQ3Nysiory8nLq6OhITE0NSm8J/6/X6Pk+eg6MSkX5EUezWDE02tOvLPtva2qiqqqKurg6j0cioUaMitniVJIk9e/awatUq3njjDWbMmMEtt9zCj370o5jvQT7S3H333SxZsoTi4mJqa2u5//77KSsrY9++fZhMppEeXpw4EZEbGmzYsIG1a9fywQcfUFRUpAiHadOmoVKpMJvN7Ny5k4yMDGbOnBnzrUYBqqqqOHz4MNOnTw9pYSyLhbV/HhvyeEmSaGtrw2KxUF9fj8vlIjMzU8nZH+rX7HK52LZtG0ajkSlTpox4hCOcSGKhrcXF8plbMZlM2Gw23G43WVlZSlrxSB0na9as4eabb+aNN97gwgsvHJExBPP666+zYsUKnnvuOebNm8eTTz7JG2+8wYEDB8jJyeHaa6+loKCARx55BIDHHnuM++67j1dffZXTTjtN2U5ycnJMmzL2lbhYiHNC0N7ejsFgiLgSIkkS7e3tiildeFSioqICt9tNfn5+iIAILro2mUz9jkpEKroOj0pEEhLy6xFFEYvFQlVVFa2treTl5TFq1KiIIWKv18s777zD888/zzfffMNll13GLbfcwty5c+NRhCi5/PLL+eyzz2hsbMRkMnH66afz0EMPMWbMmJEeWpw4UdPa2sq7777L2rVr2bhxI9nZ2fzgBz/g3Xff5dxzz+Xpp5+OiZXjngivqeivU7zdblciDna7PaRL0GAvnjidTrZt20ZGRka3kZ2RZuUrgTFVHbMCkFuUwXljPlecpGXjPLmNrd1uJz09XYnUDFe+/YYNG7j++ut59dVXWbp06bDsMxqeeeYZxZRt5syZPPXUU8yfPx+As846i5KSElavXg1ASUkJFRUVXbZx//33s3LlymEc9dAyomLhoYce4t1336WsrAydTofNZuvymMrKSm666SY2b95McnIyK1as4JFHHhn2kGOcExNJkvD7/dTV1YUIieCohMViISUlRXG6lkWELCqKi4vR6XR9viiEOyuHpzqJoqiIBZVKRVpaGiaTiZSUFBISEkL2abFYWL16NS+99BKCIPDTn/6UG2+88TuzEt4XR804cb5rtLe38+c//5n77ruPvLw8/H4/F110EUuXLmX+/PkxKRrkRgxms5nZs2cPWv680+lUhENLS4vSJSg7O3vA6Vjt7e1s27aN7OxsJkyYEJNCQeb6lQ0h///pbkO3K91yHZ/sf5GcnKy8Z0lJSUPyOt977z1WrFjBX//6V370ox8N+vbjDC4jKhbuv/9+0tLSqK6u5qWXXuoiFvx+PzNnziQ3N5fHH3+curo6rr32Wm644QYefvjhkRl0nJMKOZwtO13Lv2UhUVFRgc/no7CwsEuKkywoZDfWaIsObTYblZWVWCwWUlNTSUtLQ61WhwgJt9vNO++8w4cffkhSUhKHDh2itLSUH/3oR9x4442UlpYOw7sTG/TVUTNOnO8an3zyCUuXLuVXv/oVt912Gx9++CHr1q3jnXfewWAwsGTJEpYvX87ChQtjYqFNFEX27duHzWZj9uzZQ9alze12K8Khubk5ZBLc1xSRtrY2tm/fTn5+PmPHjo1poQChYuGp/0qI2ozU4/EobWwbGxsxGAxKxCE1NXVQXveHH37IVVddxQsvvMAVV1wx4O3FGXpiIg1p9erV3HHHHV3Ewvvvv8/ixYupra0lJycHgFWrVvH//t//w2q1DpnpSZw4EJjY+3w+ampqFBEhCwk5MtHY2EhqaqoiJMKjEkVFRWg0GlpaWjh69CgejweXy0VBQQGFhYURL5Jut5t169bx97//nfr6egoLC8nJyaGlpYVjx45x6aWXcv/994/AOzIyDNRRM06ck50DBw6wfft2rrzyypDbPR4PH330EevWrePtt99GEAQWL17M8uXLOeOMM0YkT102L3O5XMyePXvYaqy8Xq+yet7Y2EhCQoIiHFJSUnqcBLe0tLB9+3aKi4sZPXr0sIx3IEiSxE8eaFT+f2llVg+P7h6/309jY6Pi56BSqRThkJGR0a9ajU8++YQf//jH/PnPf+aaa66JedEVJ0BMi4X77ruPDRs2hPRcLi8vZ/To0Wzfvp1Zs2YN70DjxAlCLjg8cuRIF4O648ePU1FRgSiKJCcn4/V6OfPMM1m0aBGpqalKO1h5pUaSJGpra3nppZf43//9X1JSUrjpppu47rrrYrY3+nDg8XhITExkzZo1LFu2TLl9xYoV2Gw23n777ZEbXJw4JxBer5fPPvuMN998k7fffhuPx8OiRYtYtmwZZ5999rBM2r1er3I9H8nia5/PR2NjI/X19TQ0NKDVahXhEN6Wurm5mbKyMkaPHj1iztd9QZIkDh8+jNls5q8fT+63UAhHFEWlG5XVasXr9ZKVlUV2djZZWVlRRay++OILLrnkEp544gl+8pOfxIXCCcTIxyN7wGw2KxEFGfl/s9k8EkOKE0dBEATS0tKYO3cuc+fODblPkiQ2b97MBRdcwJw5czjllFPw+/188skniphobm4mPT2doqIi5cJ19tln8+KLL3LhhRfGZJ7xcNPQ0IDf7494Hjhw4MAIjSpOnBMPrVbLOeecwznnnMOzzz7LF198wZo1a/j5z39OW1sbF1xwAcuWLePcc88dklarcqtRg8HA9OnTR/T8ptFoyMnJIScnB7/fT1NTExaLhZ07dyIIAiaTiZycHCRJUnwfCgsLR2y80RIsFObMmcMZZ0SXehQNKpWKjIwMMjIymDBhgtKNqry8nD179vRaVL5161YuvfRSHn300bhQOAEZdLFwzz338Nhjj/X4mP379zNx4sTB3nWcODGDIAicccYZVFZWdpnoQuCk3tTUpKQ2/f3vf+eBBx5gzpw58ZNonDhxhhS1Ws2ZZ57JmWeeyZ/+9Ce++uor1qxZw7333stPfvITzj//fJYuXcr5558/KO0f5Q5CqampMddqVK1WK+1Dg1fPd+/ejdfrJS0tDZ1Oh9/vj+kFHLlgvL6+nrlz5w5ZHQgErm9GoxGj0cjYsWNpb2/HarVSW1vLgQMHMBqNSsvvoqIitm3bxsUXX8wDDzzAzTffHL/GnYAMulj4xS9+wX/8x3/0+Jhoc/5yc3P5+uuvQ26TnfV6c9MbSiK1ynrkkUfi+dNxQpBXryIhCAKZmZlkZmYyb968eJFXNwzEUTNOnDi9o1KpWLhwIQsXLuQPf/gD27ZtY82aNfzud7/jpz/9KT/4wQ9YunQpF1xwAUajsc8TPbvdzrZt28jJyYn5DkLy6rnH46G6upqxY8fi8/k4dOiQ4ksgr57HQqG4jCwULBbLkAuFSCQlJZGUlERJSQlutxur1YrZbGbZsmWkpKTgdDq55ppruP3222P684/TPTFdsyAXONfV1SldT55//nn+67/+C4vFMmLmUyUlJVx//fXccMMNym0pKSlRdxuIEydO9PTHUTNOnDgDQxRFdu3axdq1a1m3bh1Hjx7l+9//PkuXLmXx4sVdcvsjYbPZ2LFjB8XFxZSWlp4QE0V5dXzatGlKa2rZl0DurNTe3h5iAjeSzVYkSeLgwYNYrVbmzJkz7EKhJ7766ivuuusuJEni+PHjGI1GLr74Yp588skT4liI08mIxgIrKyspKyujsrISv99PWVkZZWVl2O12AM477zwmT57MNddcw86dO/nXv/7Fb37zG2655ZYRd6lNSUkhNzdX+YkLhThxhoa77rqLF154gb/+9a/s37+fm266ifb2dq677rqRHlqcOCctKpWKmTNn8rvf/Y49e/awfft2Tj31VP7yl79QWlrKsmXL+N///V+sViuR1hwbGhrYvn07Y8eOZfTo0SfE5LCqqooDBw4wc+bMEA8bQRBISUlhzJgxLFiwgAULFpCenk5NTQ2fffYZ3377LZWVlbhcrmEdb7BQGImIQk8cOHCAK664giVLllBWVobFYuHFF1+ksLBwSI+FZ599lpKSEgwGA/Pnz++SnRLOm2++ycSJEzEYDEybNo333ntvyMZ2IjOikYX/+I//4K9//WuX2zdv3sxZZ50FQEVFBTfddBOffPIJSUlJrFixgkcffXREQ4AlJSW4XC68Xi9FRUVceeWV3HnnnTEVlowT52SiJ0fNOHHiDB+SJHHkyBHWrFnDunXrKCsr47TTTmPZsmVcdNFF5OTksHr1aqWgOi8vb6SHHBXHjx+nvLy8z07SLpdLiTjYbDZSUlJCDM2GCkmSOHDgAA0NDcydO3dIitL7y+HDh7ngggu4+uqrefTRR4etRqWvnjxffvklZ5xxBo888giLFy/m1Vdf5bHHHmP79u1MnTp1WMZ8ohATaUgnGk888QSzZ88mIyODL7/8knvvvZfrrruOJ554YqSHFidOTBCv64kT5+RHTi9Zu3Ytb731Flu3bmX69Ons37+f//mf/zkh+uhLksSxY8eoqqpi9uzZGI3Gfm/L4/GEeDkkJSWFmMAN1nsRy0KhvLycH/7wh0qL1OEsZu+rJ89ll11Ge3s7//znP5XbTj31VGbOnMmqVauGbdwnAnGx0MFAuji9/PLL/PSnP8Vut494elScOLFAvK4nTpzvFqIo8stf/pK//OUvzJ49my1btjBnzhyWLl3K0qVLKSkpiTnhILcaraurY86cOYPS+UnG5/PR0NCgeDno9XpFOAzECVmSJPbv309TUxNz5syJKaFQWVnJ+eefz6JFi3jmmWeGVSj0x5OnqKiIu+66izvuuEO57f7772f9+vXs3LlzGEZ94hDPm+lgIF2c5s+fj8/n4/jx40yYMGEIRtc3nn32WSVlY8aMGTz99NPMmzdvpIcV5zuGXNcTJ06ck5//+Z//4dVXX+Wrr75i6tSpmM1m3nrrLdatW8f999/PtGnTWLp0KcuWLWPs2LEjLhzCV+cHeyFDo9EoNY3BTsg7duxArVaHmMBFO6kOFgpz587FYDAM6pgHQm1tLRdeeCHnnXfesAsF6J8nT3deXnEfr67ETrPjEcZkMjFx4sQef7rreFBWVoZKpYqYEzfcvP7669x1113cf//9bN++nRkzZnD++edjsVhGemhxvmM8+uijZGZmMmvWLB5//HF8Pt9IDylOnKhoamriqquuwmg0kpaWxvXXX6803ugNSZK44IILEASB9evXD+1AY4grr7ySL774gmnTpiEIAnl5edx88818+OGH1NXVccstt/DVV18xb948FixYwMMPP8y+ffsiFkcPNZIksW/fPhobG4dEKIQji4OpU6dy5plnMmXKFCRJYvfu3Xz22Wfs3bsXq9WK3+/vdcyxKBTMZjMXXngh3/ve91i1alVM+WjEGRzikYU+smXLFrZu3crZZ59NSkoKW7Zs4c477+Tqq68mPT19pIfHE088wQ033KB0ilm1ahXvvvsuL7/8cjxfPM6wcfvtt3ep66mrq4vX9cQ5Ibjqqquoq6vjww8/xOv1ct1113HjjTfy6quv9vrc72pbyO4KmQVBICsri+uvv57//M//xGazsWHDBtauXcsf//hHiouLWbp0KcuXL2fq1KlDPtEURZE9e/Zgt9tHZNKtUqkUj52JEyfS0tJCfX09Bw4cwOv1Kl4OWVlZStMUWSg0NzfHnFCwWCwsXryYOXPm8NJLL42YcV1/PHlyc3PjHj5REq9Z6CPbt2/n5ptv5sCBA7jdbkpLS7nmmmu46667RrxeoT85e3HiREu8rifOd4H9+/czefJkvvnmG+bOnQvAxo0bufDCC6muriY/P7/b55aVlbF48WK+/fZb8vLyeOutt0LOxXFCaW1t5Z///Cdr165l48aN5ObmKqlKs2fPHnTh4Pf72bVrF263m9mzZ4+oP0I4kiTR1tamdFZyOp1kZmZiMploamqitbWVOXPmxJRQaGxsZNGiRYwbN47XXnsNrVY7ouPpqyfPZZddhsPh4J133lFuW7hwIdOnT48XOIcRjyz0kdmzZ/PVV1+N9DAi0p+cvThxouVkquuJE6c7tmzZQlpamiIUAM4991xUKhVbt25l+fLlEZ/ncDi48sorefbZZ+Mrk1FiNBq58sorufLKK7Hb7bz//vusW7eOxYsXk56ezkUXXcSyZcuYN2/egFesZS8nv9/PnDlzRnxiG44gCBiNRoxGI2PHjlVM4A4fPozX6yUtLQ2r1Up2dnZMLLg0Nzcrhev/93//FxPv51133cWKFSuYO3cu8+bN48knnwzx5Ln22mspKCjgkUceAeDnP/85Z555Jn/84x9ZtGgRr732Gt9++y3PP//8SL6MmCQuFuLEiRMVJpMpxKioL8RSXU+cOD1hNpu7HKcajYaMjIweCx/vvPNOFi5cyNKlS4d6iCclycnJXHrppVx66aU4nU4++OAD1q5dy6WXXkpCQgIXXXQRS5cuZeHChX32NPL5fOzYsQNBEJg9e/YJ4YmUlJSEw+FAq9Uya9YsbDYbZrOZgwcPYjQalQLpkTBia21tZfny5eTk5PDGG2/ETITmsssuw2q1ct999ymePBs3blQWUCsrK0OiVQsXLuTVV1/lN7/5Db/61a8YN24c69evj3ssRCD2vzFxoqY/OXsjycqVK3nggQdCbpswYUI8CnKCE+t1PXG+m0SbRtcfNmzYwMcff8yOHTv69fw4oSQkJCgtV91uN5s2bWLt2rVcffXVqNVqFi9ezPLly/ne977X64q21+tl+/btaLVaZsyYMWI59X1BkiT27NlDW1sbc+fORa/Xk5qaSnFxMW63W/FyOHLkCMnJySEmcENdL2O327n44osxGo2sW7cuptKiAG699VZuvfXWiPd98sknXW6TBWqcnomLhZMInU7HnDlz2LRpk5InK4oimzZt6vbLM9JMmTKFjz76SPn/RFjxidMzer2e1157jZUrVyp1PXfeeSd33XXXSA8tzneYaNPocnNzu3SP8/l8NDU1dbvo8vHHH3P06NEuzr+XXHIJ3/ve9yJOUuJEh16v58ILL+TCCy9k1apVfPrpp6xZs4af/OQneL1eFi9ezLJlyzjrrLO6pOe43W62b99OQkIC06dPPyG69IiiyN69e2lra2POnDldXpNer6ewsJDCwkK8Xi8NDQ1YLBbKy8sxGAyKcDAajYMuHNrb2/nRj36EVqtl/fr1MeXxEGdoiRc4n2S8/vrrrFixgueee07J2XvjjTc4cOBAl1qGkWblypWsX7+esrKykR5KnDhx4gCdBc7ffvstc+bMAeCDDz7ghz/8YbcFzmazmYaGhpDbpk2bxp/+9CeWLFlCaWnpsIz9u4TP5+OLL75gzZo1rF+/HrvdzoUXXsiyZcs455xzlO5rN95447B0WRoMgjs1RRIKPeH3+xXh0NDQgEajCfFyGKhwcDqd/PjHP8blcrFx40ZSUlIGtL04JxZxsXAS8swzzyimbDNnzuSpp55i/vz5Iz2sLqxcuZLHH3+c1NRUDAYDCxYs4JFHHqGoqGikh3bS8dBDD/Huu+9SVlaGTqfDZrN1eUxlZSU33XQTmzdvJjk5mRUrVvDII4/Eoz1xvnNccMEF1NfXs2rVKqV16ty5c5XWqTU1NZxzzjm88sor3RpeCoIQ74Y0TPj9fr766ivWrl3LW2+9hcViITExkenTp/OPf/wDo9E40kPslfCWrgOpAxBFkaamJqWzEqAIh4yMjD4LJ7fbzRVXXEFzczMffPABqamp/R5bnBOTuFiIM2K8//772O12JkyYQF1dHQ888AA1NTXs2bMnvmoxyNx///2kpaVRXV3NSy+91EUs+P1+Zs6cSW5uLo8//jh1dXVce+213HDDDTz88MMjM+g4cUaIpqYmbr31Vt555x1UKhWXXHIJTz31FMnJyQAcP36c0tJSNm/ezFlnnRVxG3GxMDLs37+fM888k5KSEmw2GzU1NfzgBz9g6dKlXHDBBTEpHGSh0N7ezpw5cwa1YFgURWw2myIc/H5/iJdDbzUcHo+Ha665hpqaGj766CMyMjIGbWxxThziYiFOzGCz2SguLuaJJ57g+uuvH+nhnJSsXr2aO+64o4tYeP/991m8eDG1tbVKutqqVav4f//v/2G1WmOm20WcON8FmpqauO2220LEyp/+9CdFrER6/P33388HH3xAZWUlJpOJZcuW8bvf/e47tQrc2trKhAkTuO6663jooYeQJIldu3axZs0a1q1bx7FjxzjnnHNYunQpixYtGpT0nIEiiiK7d+/G4XAMulAIR5IkWltbFeHgcrlChEN4sbjX6+U//uM/OHr0KB9//DFZWVlDNrY4sU3sJ/HF+c6QlpbG+PHjOXLkyEgP5TvHli1bmDZtWkhdy/nnn09rayt79+4dwZHFifPd46qrrmLv3r18+OGH/POf/+Szzz7jxhtv7PbxtbW11NbW8oc//IE9e/awevVqNm7c+J1bdDEajbz77rs8/PDDCIKASqVi5syZ/Pd//zd79+5l27ZtzJs3jz//+c+UlpayfPlyVq9eTUNDAyOxbjqcQgEC0a7U1FTGjRvHwoULmT9/PikpKVRUVPDpp5+yfft29u7dS01NDT6fjxtvvJGDBw/y0UcfxYXCd5y4WIgTM9jtdo4ePUpeXt5ID0Xhs88+Y8mSJeTn5yMIAuvXrw+5X5Ik7rvvPvLy8khISODcc8/l8OHDIzPYAWA2myOa+cn3xYkTZ3jYv38/Gzdu5MUXX2T+/PmcfvrpPP3007z22mvU1tZGfM7UqVNZu3YtS5YsYcyYMXz/+9/noYce4p133sHn8w3zKxhZZs+eHfF2QRCYMmUK999/Pzt27GDPnj2cddZZ/O///i9jxoxh8eLFvPDCC5jN5mERDrJQcDqdwyIUwhEEgeTkZEaPHs2pp57KwoULycjIYP369UycOJE5c+awefNmXnnllbg/Tpy4WIgzctx99918+umnHD9+nC+//JLly5ejVqu54oorRnpoCu3t7cyYMYNnn3024v2///3veeqpp1i1ahVbt24lKSmJ888/H5fLNeRju+eeexAEocefuGdFnDgnFr05SEdLS0sLRqMx3qAgAoIgMH78eH71q1/x9ddfc/DgQS688EJef/11xo8fzw9/+EP+/Oc/U11dPSTCQRRFdu3aNWJCIRKJiYmUlJRw7733cuWVV6JWqxk/fjwLFixg3rx5bNiwYVjH09TUxFVXXYXRaCQtLY3rr78eu93e4+Nvu+02JkyYQEJCAkVFRdx+++20tLQM46hPXuJnkTgjRnV1NVdccQWNjY2YTCZOP/10vvrqq367BA8FF1xwARdccEHE+yRJ4sknn+Q3v/mN4tr6yiuvkJOTw/r167n88suHdGzR9o2PhtzcXL7++uuQ22Rzv1g09IsT52Slvw7SwTQ0NPC73/2ux9SlOAEEQWD06NH813/9F3fffTfV1dWsW7eOdevWcc899zB37lzFIK64uHjANQ6iKLJz507cbjdz5szp1VRuOBFFkV/84hd8/vnnfPLJJ5SUlNDY2Mg777wz7IXNV111FXV1dXz44YdKR7Ibb7xR6UgWTnAq3uTJk6moqOBnP/sZtbW1rFmzZljHfjISFwtxRozXXnttpIcwIMrLyzGbzZx77rnKbampqcyfP58tW7YMuVgwmUyDJqwWLFjAQw89hMViUSYqH374IUajkcmTJw/KPuLE+S4zlA7SwbS2trJo0SImT57MypUrB7y97xKCIDBq1Ch+/vOfc/vtt2M2m3nrrbdYu3Yt9913H9OnT1eEw9ixY/ssHGJdKNx777289957bN68mZKSEgAyMzN7XZQabORUvG+++UaJsD399NNceOGF/OEPf4jodSKn4smMGTOGhx56iKuvvhqfzxePsA2Q+LsXJ04/kVf5IuX6x1qef2VlJU1NTVRWVuL3+xUjvLFjx5KcnMx5553H5MmTueaaa/j973+P2WzmN7/5DbfcckufjIHixIkTmaF0kJZpa2vjhz/8ISkpKbz11lsxNRk90RAEgby8PG6++WZuuukmGhoaWL9+PWvXruWhhx5iwoQJLF26lGXLljFx4sRehYPf72fXrl14PJ6YFAr3338/a9euZfPmzYwdO3ZEx9NbKt7y5cuj2k48FW/wiL+DceJ8B7jvvvv461//qvw/a9YsAKVPvFqt5p///Cc33XQTCxYsICkpiRUrVvDggw+O1JDjxDmpiDYSuGDBAmw2G9u2bVMcpD/++GNEUezRXLO1tZXzzz8fvV7Phg0bMBgMgzb27zqC8P/bu/+YqMs4DuDvO4gxswLGr+mww1adiHqEcNFAIW9CIkL5B+QthAQ3GjSjRrSFUBa/U0bHQAEHToyfhohEIT9WGBOFkS2BMRNa1JFITIEtjuP6w7x1cWAq3IG8X9v98/A83/t8/2Hfz30/z/MRwMbGBpGRkYiIiMCff/6JmpoanD59GpmZmRCJRAgMDMSrr76K9evXz2h6plar8cMPP0ClUuGFF15YVImCRqNBcnIyTp48iaamJjz//PPGDomleIsQNzgTPaC7v/Ldre2/a2hoaNHV+RcVFUGj0cz4/Luh1NNPP426ujpMTEzgxo0byMzM5C8yRAa2bt06+Pn5ITIyEu3t7bhw4QKio6MREhKiLb8YHByEWCzW7jO6desWtm/fjvHxcRQWFuLWrVtQKpVQKpVQq9XGvJ1HjkAggJWVFcLCwlBTU6N9C9vX14eXX34ZEokECQkJ6OjowPT0NMbHx5GcnLxoE4WMjAwcO3YMDQ0NWL9+/YJ+n6EO5WAp3vzjkwDRA3J0dIS9vT0aGxshkUgA3PkndfHiRURFRRk3OCJaskpKShAdHY1t27bpdJC+S6VSobe3FxMTEwCAzs5O7UlJ/y0huX79urb+nObfU089BblcDrlcjrGxMXz11VeoqqqCv78/LC0tsXLlSqjVasTExCy6RCE7OxvZ2dloaGjAxo0bF/w7WYq3dLGDM9EcxsbGtE3iXFxccPjwYfj4+MDKygpr1qxBWloaUlNTUVxcDEdHRyQkJODKlSu4evUqywCIiJapmzdvQiaT4ffff4dGo8Fjjz2GgIAABAUFwcPDw6hvbTUaDXJzc/HJJ5/g66+/nrO8zRi6u7vh5OSEy5cva0vxvvnmG/j5+eHXX3/Vu8EZ0C3Fq6urw4oVKwwZ9iONZUhEc7h8+TJcXFy0Nf6xsbFwcXHBwYMHAQBxcXGIiYnB/v374ebmhrGxMdTX1zNRIKIlJScnByKRCObm5pBKpTOOUv6viooKiMVimJubY8OGDairqzNQpIvf9PQ09uzZg8cffxx9fX0YGBjA0aNH8ddff0Eul+O5557D22+/jebmZqhUKoPGptFoUFhYiEOHDuHcuXOLLlEAWIq3GPHNAhER0TJWVlaG0NBQ5OXlQSqVIisrCxUVFejt7dXbvff777/Hli1bkJKSgp07d+LUqVNIS0tDZ2cnnJ2djXAHi09lZSV8fX3xxBNP6IyrVCq0tLSgsrISZ86cwdTUFHbu3ImgoCB4e3svaIM2jUaDEydOIC4uDmfPntXZs7bYjIyMIDo6GmfPntUpxVu5ciUAoL+/H46OjtpDOlpaWuDj46P3WizFe3hMFoiIiJYxqVQKNzc3KBQKAHd+GXdwcEBMTAzi4+NnzA8ODsb4+Dhqa2u1Yy+++CIkEgny8vIMFvdSNzU1hdbWVlRWVqK6uhpjY2Pw9/dHYGAgZDLZvL6h1mg0+OKLL3DgwAFUV1fr9AciuheWIRERES1Tk5OT6Ojo0Hl4FAqFkMlkaGtr07umra1txsOmr6/vrPNJP1NTU3h7e0OhUGBgYAC1tbWwtbVFXFwcRCIRwsLC8OWXX2J8fPyhv6uqqgoHDhxAeXk5EwW6b0wWiIiIlqnh4WGo1er7ai6pVCqXRDPKpcTExASenp44cuQIfv75Z5w/fx4ikQhJSUkQiUSQy+UoLy/H7du37/vaZ86cQVRUFE6dOoUdO3YsQPT0qGOyQERERLRICIVCuLu7Iz09Hb29vWhtbYWTkxPS0tIgEokQHByMkpISjI6O4l6V5OfOnUNERAROnDiBXbt2GegO6FHDZIGIiGiZsra2homJyX01l7S3t18SzSgfBUKhEC4uLvj0009x9epVXLp0Ca6urlAoFHB0dMRrr72G4uJi3Lx5c0bi0NDQgLCwMBQUFGD37t1GugN6FDBZICIiWqbMzMzg6uqKxsZG7dj09DQaGxvh4eGhd42Hh4fOfODOg+ls82l+CAQCODs7IykpCV1dXbhy5Qq2bt2KwsJCrF27FgEBASgoKMDQ0BCam5shl8uRm5uLkJAQY4dOSxxPQyIiIlrGysrKsHfvXhw9ehTu7u7IyspCeXk5enp6YGdnh9DQUKxevRopKSkA7hydunXrVqSmpsLf3x+lpaVITk7m0alGotFocP36dVRVVeH06dO4dOkSACA3NxcREREQCARGjpCWOiYLREREy5xCoUBGRgaUSiUkEgmys7O1Dbu8vb0hEolQVFSknV9RUYEPP/wQ/f39ePbZZ5Gens7Ns4uARqNBX18fTp48iY8++oiJAs0LJgtERERERKQX9ywQERER0UMbGRmBXC7Hk08+CQsLC+zbtw9jY2P/a61Go8Err7wCgUCA6urqhQ2U7guTBSIiIloUcnJyIBKJYG5uDqlUivb29lnn5ufnw8vLC5aWlrC0tIRMJptzPi08uVyOn376CQ0NDaitrcW3336L/fv3/6+1WVlZLJtapJgsEBERkdGVlZUhNjYWiYmJ6OzsxKZNm+Dr64s//vhD7/yWlha8/vrraG5uRltbGxwcHLB9+3YMDg4aOHICgO7ubtTX16OgoABSqRSenp74/PPPUVpait9++23OtV1dXfjss89w/PhxA0VL94PJAhERERnd4cOHERkZifDwcDg5OSEvLw8rVqyY9QGypKQEb731FiQSCcRiMQoKCrTHvpLhtbW1wcLCAps3b9aOyWQyCIVCXLx4cdZ1ExMT2LNnD3JyctirY5FiskBERERGNTk5iY6ODshkMu2YUCiETCZDW1vb/7rGxMQEVCoVrKysFipMmoNSqYStra3OmKmpKaysrKBUKmdd98477+Cll15CYGDgQodID4jJAhERERnV8PAw1Go17OzsdMbt7OzmfND8t/fffx+rVq3SSTjo4cXHx0MgEMz56enpeaBr19TUoKmpCVlZWfMbNM0rU2MHQERERPQwUlNTUVpaipaWFpibmxs7nEfKu+++i7CwsDnnrF27Fvb29jP2l0xNTWFkZGTW8qKmpiZcu3YNFhYWOuO7d++Gl5cXWlpaHiJymi9MFoiIiMiorK2tYWJigqGhIZ3xoaGhe9axZ2ZmIjU1FefPn8fGjRsXMsxlycbGBjY2Nvec5+HhgdHRUXR0dMDV1RXAnWRgenpa2+Dvv+Lj4xEREaEztmHDBhw5cgQBAQEPHzzNC5YhERERkVGZmZnB1dVVZ3Py3c3KHh4es65LT0/HoUOHUF9fr7Oxlgxv3bp18PPzQ2RkJNrb23HhwgVER0cjJCQEq1atAgAMDg5CLBZrj7i1t7eHs7OzzgcA1qxZA0dHR6PdC+liskBERERGFxsbi/z8fBQXF6O7uxtRUVEYHx9HeHg4ACA0NBQffPCBdn5aWhoSEhJw/PhxiEQiKJVKKJXK/90EjOZfSUkJxGIxtm3bhh07dsDT0xPHjh3T/l2lUqG3txcTExNGjJLul0Cj0WiMHQQRERGRQqFARkYGlEolJBIJsrOztSUs3t7eEIlEKCoqAgCIRCIMDAzMuEZiYiKSkpIMGDXRo43JAhERERER6cUyJCIiIqJ/ycnJgUgkgrm5OaRSqbbG/l5KS0shEAgQFBS0sAESGRCTBSIiIqJ/lJWVITY2FomJiejs7MSmTZvg6+s741jQ/+rv78d7770HLy8vA0VKZBgsQyIiIiL6h1QqhZubGxQKBYA7pzI5ODggJiYG8fHxeteo1Wps2bIFb775Jr777juMjo6iurragFETLRy+WSAiIiICMDk5iY6ODp0u0EKhEDKZDG1tbbOu+/jjj2Fra4t9+/YZIkwig2JTNiIiIiIAw8PDUKvVsLOz0xm3s7NDT0+P3jWtra0oLCxEV1eXASIkMjy+WSAiIiJ6ALdv38Ybb7yB/Px8WFtbGzscogXBNwtEREREAKytrWFiYoKhoSGd8aGhIdjb28+Yf+3aNfT39yMgIEA7Nj09DQAwNTVFb28vnnnmmYUNmmiB8c0CEREREQAzMzO4urqisbFROzY9PY3GxkZ4eHjMmC8Wi/Hjjz+iq6tL+9m1axd8fHzQ1dUFBwcHQ4ZPtCD4ZoGIiIjoH7Gxsdi7dy82b94Md3d3ZGVlYXx8HOHh4QCA0NBQrF69GikpKTA3N4ezs7POegsLCwCYMU60VDFZICIiIvpHcHAwbty4gYMHD0KpVEIikaC+vl676fmXX36BUMjCDFo+2GeBiIiIiIj0YmpMRERERER6MVkgIiIiIiK9mCwQEREREZFeTBaIiIiIiEgvJgtERERERKQXkwUiIiIiItKLyQIREREREenFZIGIiIiIiPRiskBERERERHoxWSAiIiIiIr2YLBARERERkV5MFoiIiIiISK+/AZBgwRQsnybNAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#from math import exp, sin\n", "import numpy as np\n", "from numpy import exp, sin\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "f = lambda x,y: exp(sin(50*x)) + sin(60*exp(y)) + sin(70*sin(x)) + sin(sin(80*y)) - sin(10*(x+y)) + (x*x+y*y)/4\n", "X = np.arange(-10,10,0.5)\n", "Y = np.arange(-10,10,0.5)\n", "X, Y = np.meshgrid(X,Y)\n", "Z = f(X,Y)\n", "\n", "# fig = plt.figure()\n", "fig = plt.figure(figsize=plt.figaspect(0.5))\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "ax.view_init(elev=10)\n", "surf = ax.plot_surface(X,Y,Z,cmap=cm.hsv,linewidth=20)\n", "\n", "X = np.arange(-0.5,0.5,0.001)\n", "Y = np.arange(-0.5,0.5,0.001)\n", "X, Y = np.meshgrid(X,Y)\n", "Z = f(X,Y)\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "surf = ax.plot_surface(X,Y,Z,cmap=cm.coolwarm,linewidth=20,antialiased=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Paper and pencil minimization\n", "Note that we have\n", "\n", "$ \\begin{cases}\n", "\\min(e^{\\sin(50x)}) = 1/e\\\\ \n", "\\min(\\sin(60 e^y)) = -1 \\\\\n", "\\min(\\sin(\\sin 70x)) = -\\sin1 \\\\\n", "\\min(\\sin(\\sin 80y)) = -\\sin1 \\\\\n", "\\min(-\\sin(10(x+y)) = -1 \\\\\n", "\\min((x^2+y^2)/4) = 0 \\\\\n", "\\end{cases} \\implies \\min(f(x,y)) \\approx 1/e-2-2\\sin1 \\approx -3.315 $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using built-in methods" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-0.7130747093105191, array([-0.02230223, -0.00472762]), 0.007046937942504883, 'Nelder-Mead')\n", "(-2.966665564173802, array([ 0.24280684, -0.09332387]), 0.011039495468139648, 'Powell')\n", "(-2.0990843569596604, array([-1.01123843, -0.09335979]), 0.01640629768371582, 'CG')\n", "(-2.0990843569595934, array([-1.01123844, -0.09335979]), 0.01039576530456543, 'BFGS')\n", "(-2.0990843569597404, array([-1.01123844, -0.09335979]), 0.0033600330352783203, 'L-BFGS-B')\n", "(-0.7130747093103592, array([-0.02230224, -0.00472763]), 0.006999015808105469, 'TNC')\n", "(-0.8627887931635007, array([-1.65508048, 0.51042469]), 0.0015561580657958984, 'COBYLA')\n", "(-0.6254386181940512, array([-0.18837361, 0.77441795]), 0.004513263702392578, 'SLSQP')\n", "(-1.452607474505165, array([-1.16099618, -0.00550989]), 0.06516742706298828, 'trust-constr')\n" ] } ], "source": [ "f = lambda x,y: exp(sin(50*x)) + sin(60*exp(y)) + sin(70*sin(x)) + sin(sin(80*y)) - sin(10*(x+y)) + (x*x+y*y)/4\n", "f_min = lambda x: f(x[0],x[1]) # wrapper for f so that it can be passed to scipy.optimize\n", "from scipy.optimize import minimize\n", "from time import time\n", "methods = [\"Nelder-Mead\",\"Powell\",\"CG\",\"BFGS\",\"L-BFGS-B\",\"TNC\",\"COBYLA\",\"SLSQP\",\"trust-constr\"]\n", "def time_method(method): # wrapper function to help time scipy.optimize with given method\n", " start = time()\n", " out = minimize(f_min,(0,0),method=method,tol=1e-12)\n", " return (out.fun, out.x, time()-start, method)\n", "for method in methods:\n", " print(time_method(method))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, none of these methods yield well to our given function. The Powell method provides the lowest value of the functio, however, calculating the derivative of the function at the point given:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.00177635 0. ]\n" ] } ], "source": [ "from scipy.optimize import approx_fprime\n", "print(approx_fprime([ 0.24280684, -0.09332387], f_min, [1e-12,1e-12]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we have that that the partial derivative with respect to $x$ of the function at this point is negative. Thus, we cannot have this as a global minimum of this function as we can show" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-2.9666655635549026\n", "-2.966665563987929\n" ] } ], "source": [ "print(f(0.2428064,-0.09332387)) # Minimum provided by scipy.optimize\n", "print(f(0.2428066,-0.09332387)) # Lower value of fuction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bringing out the big guns\n", "Since this function has many local minima, we have to resort to using more specialized algorithms in order to find a global minimum. We use two below" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Basin-hopping\n", "The basin-hopping algorithm described in a 1997 paper by David J Wales and Jonathan Doye is a global optimization algorithm originally developed for finding the minimum energy structure of molecules. \n", "\n", "From the `scipy` documentation of the implementation of this function: \n", "> Designed to mimic the natural process of energy minimization of clusters of atoms, it works well for similar problems with “funnel-like, but rugged” energy landscapes\n", "\n", "Thus, it should work well for our function:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: -3.3068686474749844\n", " lowest_optimization_result: fun: -3.3068686474749844\n", " hess_inv: array([[ 1.66496802e-04, -1.63442544e-06],\n", " [-1.63442544e-06, 1.01069713e-04]])\n", " jac: array([1.18911266e-05, 1.63316727e-05])\n", " message: 'Desired error not necessarily achieved due to precision loss.'\n", " nfev: 168\n", " nit: 8\n", " njev: 53\n", " status: 2\n", " success: False\n", " x: array([-0.02440309, 0.21061242])\n", " message: ['requested number of basinhopping iterations completed successfully']\n", " minimization_failures: 980\n", " nfev: 325678\n", " nit: 5000\n", " njev: 105109\n", " success: False\n", " x: array([-0.02440309, 0.21061242])\n", "Time elapsed: 33.00804781913757 seconds\n" ] } ], "source": [ "from scipy.optimize import basinhopping\n", "import time\n", "start = time.time()\n", "print(basinhopping(f_min, [0,0], niter = 5000))\n", "print(\"Time elapsed: \", time.time()-start, \" seconds\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Differential Evolution\n", "Differential evolution is a stochastic genetic algorithm that is often used for global optimization problems. Briefly, some initial candidates for the minimum of the function are generated. Then these candidates are \"bred\" and similarly to the process of natural selection, over multiple generations, candidates that are closer to the minimum of the function are generated" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: -3.306868647475183\n", " message: 'Optimization terminated successfully.'\n", " nfev: 1956\n", " nit: 63\n", " success: True\n", " x: array([-0.02440308, 0.21061243])\n", "Time elapsed: 0.25775575637817383 seconds\n" ] } ], "source": [ "from scipy.optimize import differential_evolution\n", "import time\n", "start = time.time()\n", "print(differential_evolution(f_min, [[-1,1],[-1,1]],tol=1e-12))\n", "print(\"Time elapsed: \", time.time()-start, \" seconds\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wrapping it up: more digits\n", "Since we now have the location of the global minimum of the function, we can use local optimization algorithms to get more digits of the function's minimum. In this case, we'll start with the result given above as the minimum of the function and then do a simple grid search in the neighborhood of this point, updating the resulting minimum until we get the desired accuracy. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 16%|██████████████████▉ | 1645/10000 [01:10<05:58, 23.30it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "1645\n", "-3.306868647475237280076113770898515657166482361476288217501293085496309199837888295035825488075283499186192630891136430717132695479183570527535481485323493119666055496491770987805562739806177408729014170264272392227086207334639477551474403455597059000710130930484549790041257397877006760662403161597724611217893259536294053937533901074129148867476633116962279417362942396292658321079163381013168510632678554019900401524711714355688234420637521685431767309457909425768882351097148504853083520986326339983557947849154630104547099679467311070004309817910593652674429408839748633882190364165440517209476651683601753535141475760124791643629970356353417693895735350598635473642122822528688878749695509827898143628521390494115341245395385269727851257267362553188546604443742861873679538628389385868997963047779486318537165899052250504507672343475949688780439524509796737104261919981577990979508967297886317173392807994861717751825429547302477283761015961319823829914040695514974564405118425411424061122303324\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from mpmath import mp, mpf, exp, sin\n", "from tqdm import tqdm\n", "mp.dps = 1000\n", "f = lambda x,y: exp(sin(50*x)) + sin(60*exp(y)) + sin(70*sin(x)) + sin(sin(80*y)) - sin(10*(x+y)) + (x*x+y*y)/4\n", "x = mpf(\"-0.02440308\")\n", "y = mpf(\"0.21061242\")\n", "mins = [None]\n", "step = mpf(\"1e-7\")\n", "for i in tqdm(range(10000)):\n", " neighborhood = [[x,y+step,f(x,y+step)],\n", " [x,y-step,f(x,y-step)],\n", " [x+step,y,f(x+step,y)],\n", " [x-step,y,f(x-step,y)],\n", " [x-step,y-step,f(x-step,y-step)],\n", " [x-step,y+step,f(x-step,y+step)],\n", " [x+step,y-step,f(x+step,y-step)],\n", " [x+step,y+step,f(x+step,y+step)]]\n", " min_f_value = min(neighborhood, key = lambda x: x[2])\n", " x,y,minimum = min_f_value\n", " mins.append(minimum)\n", " if mins[-1]==mins[-2]: print(i); break\n", " step /= 2\n", "print(mins[-1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 4 }