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@empet
Last active August 28, 2024 22:03
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{
"cells": [
{
"cell_type": "markdown",
"id": "d3f548b9",
"metadata": {},
"source": [
"https://nbviewer.org/gist/empet/08b61f6f59cdbfad9affc3442ce3e78b"
]
},
{
"cell_type": "markdown",
"id": "d30b0fac",
"metadata": {},
"source": [
"## <center> Hopf torus deformation as a 2-spherical circle deforms to a cycloid </center>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "a60ad5d2",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<video width=\"700\" height=\"480\" controls>\n",
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puX9Ow5pAzjk1U081J1cw3AD8ZBZJ6ovVrlISyCi6L4rklikg1v57/cTGsgHoNlk8dfEAwlb2HlI423mJ/zjCLBAEXQOow3L83FzxgHUnd02mdatbbu5aZcbduCmrjuTjrSXj13vV55fpHvK+/ZtEAt1Xo+24+9zDtOh6VNzKMCTHa3HQxOyxNudu2fnVHu4v/PVzETBUgLL7Zf2QSq7fc7qlf58GnAQ+irnoPgp5vkq8O0V4ZDdNGX/88drOSegqAdAgW3QQZ/gWYrccojQyDSv7pH2rDJ6hjMeseIWW4HUDnngwP50R8F8d2tX9IGc+IRueyjDFU3MyA0NWHVxjCwMltpZN0RuxVcCl11cWh6Xxt1WqWnFy6k0gCBPVGeT/vRIb72wfJRK5MDkQbpwMojGD17R3QF4Mk4c6bgwPMuU9DdDKlSiX3ryWZfFvwx71sN50ZFtDsJ/la11IqT6l+isxnbj+AOpAGwWOIA70Tws1035yV9eembZwfsWIN1dYDSWNqk5T8Vokyl7npq1HWXliaMIGK3TDgwgezrcbHQVTu9o3MOI2bYV/+0ADi0wdxfwOMxJxpDf24UM5ZG6/RCJGa11RNPdL2iZUF97tlX1Ith85BiRnF6PXYgEnAmxiWGIV9Gpr7URFq036+qoRmJsJdpWSn/8ZPF757hV5yvH9+QUMDDMhTMc5OKCaUBClg7z3+t1MD4eQSSDzDcA+z7ypewMYjdxjsrSGb+CO7dTwAYY1ZlKCJdyHox1VgngHgrb6EK0iwyPCwS7djw9dct7drTfU/Nwb/PKzW/h63FVHJ1rInejTJ8pOSkEU2Esdf+Fv+m5/xrgmXot93C+j2zCdYlhAdgXeBeJooDHIj2/3u4U3tzyN+G71tdlqE/VJmxQZ8NwiSFyRrmyeTwhxtmfYXoOjswKJZcaUsWF5ncd4fpt/YUfUuJLk/N2YukNKEgBZmdoM/4ZutjEJ9a8M4Wz541gP+RxcEVgxuW71TMV/+3h28BO79ErKNLbRuvwu/yi5WpenRhPoOuZTFi+iRN1kw8WH4f9r8cQGHIn4gFtc3IqYT/pPVzyUlD+BFJ6UCakwD/BgqCKrBM8iNzuwraPRgj5yN+8ZN5bSH0dK68ClW6p63AiouQifG/aLvYt9szn5hw8YEFMzUtFNBccYOKSZWbTcjgzRNYRAsZDude6EL1Uqi3tnGuxmGgFgqOgkBpuETB5sYPhXa6tcTu5lWqdlFIEJS/8e+vPN7n+oyAanlOnBL1l1BdCyvyC3TqelCu7/MgwFe0gb6jC3KoYYpSgnum6mbFEgwvZWo3eZIbdFVsZY6ivBLadk2z+TN2gcQqey0jfKjyPCU9Ud3nmPWkxc4GgWIszIQXBnloukmexd00203sa48QUAfugKhKKMH6G3xNT+BstzJti1SISS8/OoPrBRd+OVV7VcoxAE2nqzMxtX76uMipG/ex76/eaDejfzz/9VBJYt5OFH/j34Ibq68RaGqBw2+5e2P77DtJg7COStIJgdyC0z5K1tMm9YCRX4ecaYzDcAgipxpj67keQ99PKulxIverDTOOBtBEl0QYdFc1iXYwtcg8HZ7EkJE8oiIIi3e+Jq1sc9AZEfBJosCDN18yPFPTZeuZcyfH4mnoeCzbrSVP6tiQASRNggG6NmmL7cSjKCuGdsCvWBS1KpiOK7+xTh9xOX2xgHwQsO3Pzj9rrUBLwphXRT9f+zpq2pkitf+xzKthXzI1HOwimalNH9peJ8WmaUT/m0Sfb8VxXUNRNTR35rCiA+MaNnaeBx0rk26hDa9C9v4t81454jhIAY6rIsmACHNjv+scN2yKWqq+hRHOjPLj/iLjoj34Y/oIFs3xiF7T9M/uhAWEHeP0bKdXgi5kGzOGSzLjgbxEtQJgcXq3XhQOZ4KhMDNY9ggsNKutoLK5PWenU6iBofpRRc8qcxv/JojP+aQm0E/EeXJxTiCMyyCyV6nEwtYCZZA8YoQoHK7936dTpE4BIOoo7xGuPerIVMHqFJM0f14v6RZExZEn7OqymriHGTWNgLB1oB0un6oA5N1A/jDXedfr1elL/MpETUGfJIBLk3JNQEQgT1yi2qqMlAKL+7eodPCD9Z8TTdL339Zw2CQ9m/bTd09NWTn4srqr6Za93fnfu+lTGg7g9adoxtsIovq9GoLQWc3AUt80Nyr6wdsEnoVySzxaNyI0AyUvK1G5qR5d7xI+v6tIL4e3DDZvEgelByST+rQUih+iFao8UUbJ/+q8bqlgmhl4lLoFbulZLM/VECagCVn1vd5yrpqc56fsA02Qw2UaZWZpBu/89TXiWDGWKnq5aFI1y50uFEuWc5PNoJadWsZ+J8UfxnnGjNhzwhNnjqgDgIJbdSdYXbEoHfcrRNUSKkMF9Wvbfp9jl/MQOz+V5cgUXE62xRHkHOYLh9hC6kI5gzLyVSTJ9DPBApjBJgT/PNuilxWsg1OjIKQTvnWlRN7yrA8GsVH8/gGYmUrpEGIaFhLlclRC4dGGRB24SR2EaVxfoCLk1y3bYs/z/Way6QbC6dXioGMoZtHo9fJ1Q/AhXen+jqiaOQ6EyyqOob+VQ6aQ8XggjCCzxEbhWUvi36JxQQHu+Hz5lYPbvn91TYtX3nmp2CpeQjeBgP3KxOhBxRYLdHY8WCSbQlmuC9AJom+iYDjHp7fd59iVw6YAXUTr3k1VG5pbrtNKwm+ZEuFsufKvIsmUxMZuZ8vF0nwkFnRp24GQTw2u/wVQmEMGYetYdhhFQaf52exqBtjRfM8pzcla6hCIZgc31xCzzld7SOpJO4cLF42CTO+KGa06+xji+DPj4pMnfHJBMjwyZDusSQuIg/5VCn3CDiiA9gMALLIsvv1aQrtawikFaVSlYEZQ+YPUzhUPvVMtrdodBSnd5AUzw47k41SondyQ2dTd3lfQTKqNIE61Z0feIu/4zdcXtMjhUneL0kQCBuNII6xP/kL9L6O93141hs8Aysv5yRegg61WauTmZLehIBH5Za16o7VFjVRpAFF9m1xn7mpBXwL5liCjq+gVYat5j0F58FFg1rHBjhilxfEtIMwgBIeXNlfBQb1UA6nIfVpX03xN6YdHsuz71uk7R7fgSIqTZjBXRdqvz8wBtVJIziT99nNhZV9wQsFpmQM4HoEtsVQanNGqRi6B/vzkGvz+35J7BqPvAC+R7rBYYbSA7iRRuXs6HCC98Vn0VWSbuUOKKQyoc8dr79z9c21h6ImLqUzSwsSsMl5uoWUwmGYNtBBISjAdzE4Zl5DnzpJXptr5+ez+/wRdCIPcqOM6KQmqGpQeqMLR97YPE+pH5qzq9OOrw5TzsAPSohzDymIhwHGgvch6kwFoMV66f+/CL3oelncsncfLXP1ZLtft6WgjlRP7Sghm5j9XEChGL7tLjMD1vj6HJ+CUEbZTyy6roftF9Ot5Nxg2DUXSXfyN06oZZPAezo10GYjDcZzYcY/4siheaHcX0uUJnzrBPw4asDOzA8hs2z/xIWgiXyrmLRToayIwh/H2m1f7HtfiRNlL0PFenKdy6KM3JEbZYGJWTP0FNmRxbarcXZpe+TgmWhGLJgoEfCcH/yWzn5ektc8cd6+BA3FZiiUUovLZP9mbnouCPGxUA3FIi1ZS7H+di2T9N7/xxoKIU1pgkOtaZL7ih1CjM0H+loFCfM9RUSYz0nZrOcsG/c8TwEfaddL00M0pZQ8m5lAl5BI+1MHiuhpy2D6ocialzC4oDIA/8QOvClGQ8V5vuiRXspqQFcZ02C0C5rGgsFP+8HRGXt3f0e4CcBG9MMt/PT08Kcj+IoVgreIecs+PcKPVbBE6aLq2FGa6THqM2dX4E7CnSJtdvozOihzGmU24FcW1CJtWYGYDs5VKqoEoaAafIGCoIxokId8B5bUjDX/axXooCXa7YzhXZL/a6tTemDRQLKKcwd30FzVvtMqCgmSIq3sjuRk3GOIU8qmcJyPZzalkeHcIn2fEGuLzGV9i7DLqY2PQX7tDXQuo0UK49K5pgWaTeoR1+euLdVOeHmS6UnEuR/wo9T8EpeAy9DxmpyuhjkVY6T6lA8b/jRoV7Dol2tmBDh6MSOsM6Jvrneu1FzimttqoHLBg6qvME+3AhnI2b1VSq5MJ/XkEk6k2rTMWmLItogqfi4ynJ1XDvsnxEH3MAfi2s646/2xyFIl8hSCSAm8P7ua1hvP8n85WU5QqV/3gk19SHo+Yep/NhXkAUPu+xhs10qJQNpb+Jb//GbAIagxhqPoIK2wWXTLA/8BxWOCTjkH26+VWKLDop8kcMIN8sB3+Ef6zT5R0bQ8oQUoGYMwd4FawhyQ05MZ+dt8qC6PmyH+jJ/A1+VG4afzVihCcU5YzYeaFhsJw5RrMvRtl0MdKyK8XfgpryWDG5FmWNSO69Gd5GqT99JLNzSY+P+1mxsjMcMHr4iPybRectWQwgPFsik76eR7OncMxFRuRpPxD3jYix9Jp2HjS+cpWhqU3M0s3BilfJONmArtMCqjGFG5vHOQN20RjdVS7xcrQvvARijdaz2GQiBw6JKvD0Lzfp3GpTQi2ZPV9RalSYmzy3wmUjDf144W/RZ+oZieh1eEGbuHYL0VsY8p6voOgr7Qz6cbX6RJJ8xfGZGb5eR8MVUJQ15M53u78uY/x8eE4rFHNodwn8ZOVk2L4nRnqi5mVMIqZV/lD9QWtc9Nm5iDVjGiO7CQRt493GWo6cp5b8drGnmjZo8NOH4bntT/42MW5/611wRqocM3EPTriJCWfZxy8oAjO9MFG6E08DOtaTju/HNbWL8RTMccKnO9NAyV6pi7RxpiVl2QYhD/If3vb9eqSi+ub4Xvb++elYr88QWjimEB8T2KxN0nB6mXyar/5kX0R5Apw/7KjpSTdsWJF7ui/chgj4SxSpMmG2mMonqxT1rwMcUZZkzLWJmSkw8m0TzK9kLF4WSEJm2rk5C7BVSoN1EMF/Jm+yumn2mcfQg6lBaprG+emhorqwWUnG+SazWoLGZjEwCzVETvC2w0AW4lXBIm4VebMPsTQDTnBomvgeDcWbFbMs9Bj1u0VtcRQMJdNcQyfFJccb/72KokgjYeJWASTm6TXTK9ljzB3cBKaLSCfX10dgqUD6lqap2+sut03ZZkk8j0tlSrevbApTHxpF67TfW7ORXr9rR61JTEDtbN/d5H9v5lwu8XWbNNZZDXMs8UTevM+d8pYqgb3XzVuagBhOloMjW5AwXtfjtYtPRSDLyQ7gXK2qzV5u8n4B4gmda3vOwkLkXfnIkrEFkbkUDUqRUAEbc5IZM0PhHaf2BuadmTLYvnwPP6z6kaPZQKPWIQflJ5/m7mjVNRZrer3ouBF5y4IGV7uHSn2+CGcmcb2rlRuDAtR0G0FlVmjF934pZiGBMa/w1eokfx33qqapozjlL6ioNkdM/pNCGL4Rbbv5eFJR/AHayv/QkPg8IehaUHT64B6guwsDXxbV+OIJzXCj0MTmmFy1x3gKewF+apJJxUvi4cwM4fXvajYoNWQovoBRiHKSoWZEfBM3f7tCEXWmuRtXj6LVqcnJrBShi6625i+kq9I2qkz4h2mkXnNBX2HRXy9ziOpg1JqyCzqx+pPogd13+1EZyDkfM5YZEzGZlUw8ygrnXS5EdL0UTtPRaeZMeFULqByaBGGkcn1oKdfLFUW5Q5U+iKJcHKyyc1YYy2y8ArliRlJHgBCDMu9gJZcWYAEljZS8ueg99qzRf+OyPlmG68U+OgGUp+40vcfiRLRhja4zH3QHjE3f//uGrkjdxI+6uUQFLhEPZAQm4ZAjUyOnKpX0fUjSn60/lyydbQeBEKxl9p33N4ziA04KCxor3Yg0aNHj5EQ9ixe/tDwMg7ofMhXhbhx9aec/RkiZp2m8zLHtKCkPyWya0KwvlOZxlIX6cMoDylv8mJS6HAGSWxufYuQ9o5sfu9l72VEUi4AGgI5lgS9TAmmDVQLsD0cQyEhnEZSWwpNUhmgRJ5MntPwyaZZo561xCVQdWvbvaN6S9B+EENYQNYFbFq0yNotsCD+QaWVDmPd9h7wEPqX/QabPtpU5ehj18PdVDVxkqZjeLrQJI1PA5SaexQUnb596JcM8xiN7+AIKkz7vrMrL4Zals9+wY2L3sxsYKtRant/eVAdsggZiG2ctxO3UkAeWVatbjGnQ2uEfafeMoD3saXglAQMlPnFv4ZRg9GsKD6NT9kDbhOCcwUoMv2nh5fiF925Ev/jrKyZi+1ov1C9vuwy/OuK4iePJixY2VzrS86WqUEPoGDZmdNq21jXPIS28JLXKKQ196W1U+r3N8hcNqC4F8Bg99qooFye8E7MTPa64W81Hs5+HMyi4U+CWbZecRxvcdyx71RdO+DvLDgLLf7vJp+wrbFdv5VgoNRKsEe0N7KE1hLRErOuDP/S8BlOt78G/ANfTv75qpkd7DIwWvGTTM+LW2VCz38rvLQvaDN2RxYTGDArq8Znh3kS9iErGtJUUjJFc0FuSFJECAneYMC854yM/T8klZD8Euao/4rtJUD6NhqcWZgLLIfCsmmmzGGNYgviqRRsO6EozQNb8/oXrfcrN9si/r0YJ3rUo6PwVuQ0IsCPhkmIZj8GOiCBrcfPnQyHa8RX/m77EW9fIoNMNoBHtcDAmT0ChJIIrhwgEbLMzGU7/+FzUD0g6rEMkm8vc6Ait3J+XebVLUMVzh1+a1kZSrJFfDGSFzmN2R/zmamdRXIDuVkRoUzmLpvxvqPW8lIW1NDEe6+Mlmt6Dts13KLreLK0sAMNdgcAKO+xrbTA+mafpFJi/ij11Dr6z/L6KzORzugPgFPB6uD0md9TmiquFzKU31zOUZJ+Yu2IujlXi+oeaaA3MUqImfXGypJluGCZ4+H2Gb98C20FqChd6KI8s0qCgK+OoEMxcs8d4AqALmQIzhrziyH77YoUv7kI1zUUWv4G6lWV384/9MCOvUt3Uxriu2wZJCciYsKK86WFw6uI1ouEmbViNyJXIWA6k2RsKmyQiUMb0Vp58rzdELQoDCVbodH9Yy7Lmla2FYq63JiOAtRP4pw/LpZpTFHjCvkdDmuqeXRWjHzS+WvQH/kn5rOBLRV4hnj5SHNoYUwmkZGmcVTKXGYE+MsUO6ANEUXpu5dbBA8TaZZOEglZmW6dRxBB4YvMDk3h3jFi/ftop5KMQYGC7M7+gFgFLy+BqH8Ht73kwwVQDX89IyoJapKtvgO1QaKAE6o5xgLR4jDwUGn69QRJX8APImTf1B6hkFG9P83h32L4zpx89q/4wGKy8nateaY1Q5dLxQGFDeYMwdSvzj/RdxO5ApThWZpdEgQ4fVuQJaOu+51S1iNa/mtHHCeDsDjbeUHAxb49oRAUfBidXi9QCjJlJJ+kLH94n9bJdHLzIn+XwqbcAcGxfi5ClLfKGUJcTCWqGe5mhCmVeZjua3URqmcYhmSNBcl5T79vTmSiJZ0FkLHucJtXOyELTRpeXqQpY25QvcQgS0D/7ETInYFK4H3hDtPEcDasY+BOC4qX6fFK0pBkTgPOP+IBrk4Ci89w+k6ZS2MSmrr/Dkz1E2auX+hkNmJ2wzhYyuWvkRlet/5xRO6Erdvx86hF4/1HqXrv9/nUoEpPVhh3FaaUNn3tOsxjZTtvx0p99h5vqZhiZvS7FH2Y2pTUJBxVSkzuuOOkmw6r7Uu+VpBx426ePtGZ2uA7HeDJuaTtDLDQesxQae/IEA0UNnLjvmcG4v0K4nHoaJGHldKvMaVL+IPKWaVqRK0dt4oRUHjwyAz0cWSWVS5BOxoPSernYepMd8rF7IwkqO1+CERVR1fm5P0CmAdSq+rNcDhGOuZsEoxk1D5z6r6XLBazvFzNk751dOm1Y+ZHpL8bMsirCwQfMB8Zp0AwJh4wn7Y9RmtGB/H/lioQ41Ik8XCTw1ZKGs31I1bOzkfQqUIDJoCCgbPEqhrlwJY1fxCJW08xnKylpZJdwUG5pnHN2tynfvSy5J5sDDp4kygkoMAu7PzSAWyCIgsPgsQXjqco/tqRh0OXTrbFgCMAFf2kx5j17/Hr5xeYBiH0tbtepJvyHHmt08bhab+aZHtY5fgaOF3az1crQqJ8PudMGYZ9+f3oOrGcffZL1U0yyAYAV0OTytKjbDJWubaajpdBQdVSqpfhoo8plWwKbIpPjUZoSW4UXDxUvSj1h8OsW1DHWYLL7NC0ud0CVsGbTazwMxBVMZ6xQsUmJGAkVUrQk8KGE4rg2eu+grATdpYaQmn8jAu/noo2JfyzKldL/zbu+5/Q5yyYbnSe+9GeVsCxdzI9eOaWBFl0SVOgoouy+KG+MotLYMUJMHD1dNzt7Pkb5EAXs+yutbBWrFSZuaKnu+Px8W6Vt4XCzRmkGp/tkzWmvccmZQvnewu+qup8HdJJ/wZHL6B18MVjzFMBU730pwLakS0hekxmINaB0ZKq8Ep+agMyFVtO+bz4aPj0+bH9cRQpthgqTnA/kFlXHPjufLWIjSRr95EzUA/0qf5CcABHbWZ+F932bUpS0ROpLrLxnCSka844tbkpIbOJLJJMWA9LcIb41u6N1p9XRAwAiP++A7lY6HrQXvdC4GVgEc+0Gc/eFRCd7Y9Py7v90z/ik5Q+AD7lyjK5LGmtdmjYilWoDwsQVbwAfa5FfkifR4ijkQo5TJ6HjfMHYlMHK3yIgXhHuDymvzTOTaBzBfXACF2KiRa/nWlVrZdx0FXqwWKYqknGF5ZuXmCroelWOSp/voa2EClcDWxlRTJ1gnIDn180i7eIyNcHzCFbU2FESJGH4dSkUJ757GmqDRPtOlm3gzMzmCE2/JPlzp88CfPwrPEGKaFqUnQ+NfLrewHl3KP4rQ9Rw6mxv22ttrd5JwQtrmvIZrqy7LF9qkC9dO44zC1RwUqTr/XjLBrjV/jt/ky161kgLyXj7DMUnge43RdA1Q8sHa5x6koOcJKrHPlMGe4+tCK/hx5Hla+rwb22sc/xD6BuSOxNhkzP/c0adhnRd3ow/uBoT5vK7+TX5+bfFa1ScEmQVPTjfMlTQBtoL+rUUQ4GjEwZFWMtDwHyDyIPPi/FsH7fwYifJnJWA9F6+kOQmywO+rS6EglYVURNZx0itjcbn8tOfNeWRByWay4/q88bUFj0q3kfAPkNjPpnEjbrIdI69SjvkOo2p3reRo4iv7gyvc+dyztOamfaHH3WnpYgiuCqTWvj6tvJgnIun+sf0ot7zZqBvUgssvh/K/zSYqVvY3STKehVr0+HPEaY9EPmW0ozrVrU7sZxVjTWECbKx5GXWUG79WOJVa3vSzdyJ44/FDtQlbbBNRyGpWxjZnI5i1MARF1DNVgL4GnbI6BIrNYD+8/BfLUSaMQrTv3TUD/Y6A5OYBMgIyp+/COucnyG7H4IaqTudMnQlw+24OfjAZ0mJC4SFJ1YhUBmntuiWJ7GMB8LD0gO69U367zgT+gygq3fINQda0MDQ1iauH8xxuTE01MjJaFEHEpTZq2EosQmS7mKZqxhtk0dQIZIUVbImDZDuGMEkMtjaC6D0DSND18ZDK//1uG+R2da0iYLRdT1z+TKrVELexxNonCu7x/sJwNTBtZwFhxPhZwuf+diLhdES5n2QicatJahYaxtadoM84WD3Vx+PQ39FsES/0meKz+uu4o6mQZbRd6+rSweX+elgL4KhL4v341RevBtejh//rjSWWd4EeMwDP7I7w+qmm3s0rcJCmmOkLyCUO6yCGti0Bnp5l5Xnad5cMBGo150a+WbPq7dv6v43D5Ne/4gBamR8eNExTtiyMsEDQdNqQCF9qgVANb1gZ1QcUc3TInqx9rP7zJ2Imi2LIwntGEoiqpKE2oZejBTMTIGA3ym8QsbFmmMc2pOiPI0IjM5AtjFG4PHwHHmoHGPitYpAOcrIZaYGom7dFYxsaNIYyqWonOEBLI8Y6tW5crdU7ZL7eNMBEYINiAoC0bEDfuhbaimTwYp29bC6AeiRtMk60sKVwzriifjxEMvAKKhlFFIPGpjUA5G1xwyi+lCLXhokQPXrR7t3T70G8xZvgga0X3VT18uyo8coHdxr4guRwMFdVYV5ePJsbs3AQjs51Tz5suDtThh/kXcaUkuYuXyOtAx+lEIZvHbxwWAS9qXChXl0wVnkIarvCnZQyK1S8NjhAs0w+XsbSwfDG4WyAqPEDy80CuaAbAZth/Ym9d+2rxxdAjx0tGHRsMUzI8ReEzFsfVP7pkc5Q/cw1YR5EKZtAALbsn6vtYkcmDmy2a1xKE8oBeeHuLASVpWuU07sNkL4B1D1Z0m3lWMyRxOzETLXb441SeNdIz3lA//I3MnShNLpc/DcXkinJeBwQ6IXa94GrqRrEcSB1ysJwmPPKjzZZf/p577CeYgO/oulcJzc09d6/ZisuN84+Y65MhHlghjTJMnY7rZ+5SV/pcczS6XSjFcWeS2c/t0SF42VPm5ZnPepGD6KfYJddbt8EyAEFdosf54HW7rpKu+WMCY8ucjCB0VAsyKmBCrtthf7UoMCzuJ5Qw7Fq0MI9fJZoAoud05pZK6OJEw9vySGl4SKj4JUFueSby/lSmPeKwkj9cC3g79kKBqCBP33ne2smi/OOce+5Rk4Z9o5cBNmfhnQksOTMx3lMAGpw04uJUw8m4GBNeZ9EUqLkVTMaSf+Hqz27UfpGIAg4yoKLt8qu2jYwdFsktuW24wwwrI1ExITSdSIh8bn5L/Xj1Ymzg4kNroXozwelx8YIMXtRQbiXiXAp9Gu5s++HYA0ZAW2cWfoWdh1/sUAAhW7g99nU4Pxy/jEt/Lp686yz8ta4Ae+tBNr5KdxD6vhBCu0wyIaffrWU8wL58/ddEtYy6qTFGhVw50GPtYmdQPbsOrSpPWskShcOwLtRBn/Flud0VteFsxryeqG+eCVQN5kmni2VNudfTPtM1uXQDauhfWx6HxJ64ojbbY3NLjkTLTJgOx270TRoXfPIuMt88WHKyckK0BS0N7fKXQaD+EjS6CMwl2Di0al1JiWkMJKndPHFTnaYW+ndvcU/BNv+XFsuRxcacpsDY3F3ReVd09XQvD5PcnzRxYLAkDcpPqWiqJB0yt6VKv6Lo61J3kElRZuTQNaiDQHsqA+Q+PZXPf7KpoFwqqFfAXyuy2l+spA7iF+LzongkolzTcr7VJFStXA0EyV5NM+K897L9v2ILdxdr/78chYHRKWMNUvaUeOv0XimVgDNCcDMmy6PedvyxpOuBzMK/kEf21tqwXta1HcFqMt7hnlwQqLpUrVRwRDZgGF1S6m8q5pknDnsq9AGrT04l9Bj1sffALBukl1s1V+yI/ipmuFgS1d0V1aZd3RY1jI4JXrQYMMRqNRYhrVHNi9i+v5M6d7z/yldDDIPmBrrJEEhViNQ2HKv0+b5H9qRbTfSVvWq71DFZtTf9wFduJJar8KLX4ybO1vR5DH8tCcscXaWU1Wdhf6KiCjETUC+zOnySpqFnvmOqrbkm/BXMrQ6bhJ4elOyPz/JDnx6fhcBQuCGfKsC+HrizR2kn+yv1TBA5fscToDXjuqJL8xpXF3TPigfPj5sv9Lc/7Puarp5cFcYxM25ntjWzoaPD7+8w2DZL60fXmWkldExvSP4ewPwTIeHAcWgozL8nnCPPEulPnfAFkL+ZivNgvFG6RkMJWO0WDIvuuMFml2rOkR29z0w/i9qGZlTGJoCWdSbSeJNcWgIibfvHz5mguiDWoTHkCYFcLTenRcf/64QqBAIJccbbTEcyQFbAqMsLY1T94VOeL0hJmFN6Qja3NbrAsyOHh8HdSorEaH6fnSk/nczf4P1JdwymniWwh/pvurYpwwEQR57EuO9DFqM7iX3CubuDIFJ/dcVLD1OzGZBAxW4tE7WZQ/xY87jl2ypTHeU/kQIWftxdfrkBsW8E9tbz5q9ZZuY0+o3cv1xQEnbsigxAi4/aO0ouWDmX83QVNoH6Xajj7LAJVOpf14IBARYVRtZYCPad0KcTTdZV2EktfA5psGPdbeYqVADjE5t2XocLR5C8uImFlXUq4KCF0DKjzElatZNBACxAkfNhW4k9N4qLNP+j/3o5j7zcW2mRt1T3Fg+Vff7HGEEE+oLdOlX/DSgVKIwvRpbzAiP9InauarCfoQhk/o/PjcXBlicGsl8964AySH//ygGkWhKhVAabT7uam/ciPSR8dcQaLx5C/R7qY1Ey2bPxfx6hchGlKCwQn3epcm41GjMkw82g08tBknIp1Ef1cGFGpEUeegcv3NqB3DaN0uvrXtQRcbW7oh0OVRP1SQ+QhlyPNOSbHt5rdY/Yw4cuypIf0ETUPxn2LBTxPHVPZCouPTPoRFW6qcJJbY2LuaBsuVvlxaKvRokqbispTLDS2/puYejgyUPLS3vWbmxnTUA8wRV8cas7BDtMBa26TTaTTC0vfqQnBTXig4pWQJprhneVc57afBGFr0wezNyGdHeAghAeIFOCn0jWf/zIx1o8Zqlzta+QfY3XY2kxce+Z6oFl+f3pF7MwskrMw5Y/XwK+Fas5o6psZggE+cncLC9wLFwxx8sZx5A/NgvR5oPsPw3Kb5Y38CCPIliJSPwkq//fVN815XnHtzKrOF3dUCl2uog18L1a85+E1gKaFd1pPnAUFqy9V1n2E9T/CuaseZR6udo9KW3hnL5tbNL0SdV657shPcUvHIpmiNw1Ekdc9dv1Bj4Ccpg2EjNlURqSgKT2jHo96OrlW4jBpDi+qGyWI4hzb0Bya2AyQ4btUtWbyvB5U6Gt2KxUVPL2YXcmfY+gPqeVaAv36IudYHENNRo23adV2sq4fVjBw8t6WxpsiShuaKG4QjQ0jjG0ITi/KlunMLu0J/roP8zRyjY9xlOSMLbsle+Cp74itvpIOXXHfgr+IcmeyYw8fDkY1eNM1Tfrw7Xnhtj60LrWGFfOYmGbz5AcMgRctGkIYJXfxY6aHIV/h7E6QvzRXyBSo05bKCzUS072Hxuj+zZWMsP1NPtQuSsMyvdiYiHCryNBqc1GoN4MMMfb59x+iKmvtUrFC40ADNr8spDuRMJiKpTQR69wMImTk7hRN6xp+XT3EyXYgbsv1wHT/Iavodu0bE1/NCzVI9PxnoedBf93Kl19cB0+AcIJqQFRD7JRNBtzF595WbsHdsx8+zqod8JmZN8NKcNzEqRAtBNF8HW4RgA+t5PdKtRfuSz6tAcozmYfKyYOZX343MlUkyENtvEW5+Jd7t/SUZgn5y9OU8Vf2d8JfXBbUJh/3454GNtoYvCxAHBL8YbuHldZT0WPLQNlRVegQ37wFTHpuYvIZyxZaRtNb00OBkx6iHAP+JV+i0Z6mUBknxF07L3gF/HwrhKjiGaeOk8UtvdTEZu3IMcLgemMZgmCWU7jY3mb7ch4r4QSb0rSXzi4+xrV2JRo8ubb/8rXeQ/O4hzCJMdL1EISmXZ0XOET6kKQNCmONB4vdCk2PDijxZQSvoNsAXskkmXbefQw7aLt7SSed4/kK8uKtyPespbedZWTSieumU5IdpsoewNtOtZQQ97W8mb7L9Hv0MjZqVvjfbwFAZ4VVrlWy+aVFLOpJnA9yFixLSlfB6NQLztcP82e9C4Zo8j1BTectKyuIvIlfTOYfkxp8ca1Xzw02dpB8KOuUwL1XQ6oe5OO/k47wfj/qbrInE99FzWBsX9MKJo8ZmmwiF7l5cxoaN7H+PjJVeub/QV0GKZnF/BRFiALGq5iXaJVhWvwQa5TfJjyXHR7RF87xWUE6IBv6jWoDhYqA++vtgWugY2NAbXSu0aLZMSiDIomgtKFUP7o+SvfqOVnwXjR9w7nfcn//mpy3COG81l+JMzbfcfLBxXpASZuGxCq6Yn7kaBgNfEe0VI7SjiDlGNN+Uhs1lUGRrx9WIclFMfCqyusPG8DmbR0WUNd4K0V2Y/qHMp9b2Azzos/EGQGgTvBAZ7BGi9WVKGzF8oIPRUMLOWofzOWZzTVb1z+VlIwAUj4iABNoRs0TKPT5mxTZ1Xf7HqiNBHsl8r23UDdhNVda3A+LxU83VL+e9JUUS15AgU6WbUktJAohgoUuqf96o2IrKTgHu2lbyhXNCwjPoFscPr4a913RjcRw0x2HDcfHw26HLyBIl+lwS5djAxxzXqUJJPEiUxYygahX+CDeTpVw6A7e1TiMBmBPiJSTLCGB6R0m7dE7U3cTrIvUsGkhRMMyxflcZ8b7Tl75rE+itX/tqncwiv3PVbpRDnAbKsJAYigwjstIigsPKj5tQ+HeEkng89LuY0Q6pioInhXdG8tooxOVv+eSGinxHfttG+RTfRqYsLeYEcD0tyBqANYg+paup/3qyJqcVIXfC8hsc2RSgbK9znK1ICII0IgGRnJ4TfkE5kBcOEIgNtBDqAv9ZC0cprOMkrzU1Ci/Hv/WdTQxf/spjCfDGqhdSS+jMH3u3jjXJ+HbKcaY0iaBqJ06eVBo2YwcWs1U8/JoGRiYV87d0PEYhLMUwUjYlCWwxc4GFNgovBPTapBv5QpxKyxS5qKyaNU5lbSRr3MGhW45KTPQhkGFROqrXbjgXb3Akzcqtzl6KLCXVCPlRLAZGqYApYVlR4DgWYTFFCp1jMysWmDxKiLO8WnawLItDzb1nez8CWiZgHkJf4AvUvxwie+TxP4hRquc+f4SChpui/7BTFbAu1H01crnNl/4Gs5bPd3+cj4s0GK89t1vm0GvWf8DuAu9NdqX68qrwmSWg59YHxWqhLjPiwVXC6AlT4tqJxhjP3eFXl2mcpXsxU1srjm8Ix/pt6COT7Txv4yj9K0iVm1U+QlzM2qNE0LFQi6wJ/wy7hIkbOLQXbKNNGQDz6EPS68J30xdfXHjf13ktJD/5DMKfWhkdmdebIT+TkQ2KrJHY+OZkqvsY6WkI9uFsdGA57Rgvp1Us5Ma0ASosGBnie1B2+TewVc38/5EyYX3ZbrVb7+SMZGqmywsbfLpCRBY6atWKHZWursQY/o/F5JNCnCzFV6vvRPRFNn62gt18m9nOG1B7+oBg5VRGy4v4Ox1Uh4M9tgSeLfqm4jxq43aXF0hzCzmeaADdgZmkr+OjaOhocj+3VLWEVijhFyqkmIZFDVfH/YcA3M+ANEUAUhR5sq+7Jd9LGizO09axk6lll8KTNTm403CVTLy88iMhu2EKq24kYWiqQ0w9QWCfGoA4KmhyR1O1z9AEK58HSypexdbrMrZaLYMAiptIdnVItOojuOlAYfV8eWNGNstnieX1tRC8W1aO5ZpfkBiQBV+A4puZhW8gR8fP110h9HqKdVu5PD3dP9D5iG+XoR5s9DK3gABkc8j0xpjId/3XK8a9Z27iMVmGRRDrx/2TWwO/waVEJAb+VT5inQwT+taJeDQrmLIHVKxzxgmnWzNbvwOqCHpKN9y8/mPMO4NHRC/p7Ad7XlVMsFPkyuZGpcwM0RiRyELqqQ69CpSkSu0grqQgDH9gMBUzM7+5494IdzBnHQf/H1QSCCLFzkpdhKcFj4g0hiABte8GTA9h9o6m9PP6YSEBp1SV7Axerh9IFpLvqRkie2ukwzUzuGnSHcIGCZ7HUZq0dFM9wuEiDvYF9vdZFxzlWnsTJaTF0gEG+jzNVA/vyOsE/e8QQ1urJbcouNNRofrJZigbPbSxQUVY55kAG9ilbnEekBygvfoTCbm7zXHmv2C/zyfg5BAmadM9nYbwwEVDVd7eilzFIbrtWbwVa4l/0Rsa4DgPNf4546JWSEA5oc9hBWUdZxtPACR9WwACSwAAAmFBmiRsQ7/+qZYAAFcxEQEiII+C0uT88k14WJoJEV+PHrnfTR1bqyKDUtxf4NvgI6HvUTm0xtAabYF93quPDnVie49KX53Plrt/2CnnGyZbmyunpPe3ws1++kQXd1oZiqAqnKpkAeS2PqQPf9vN01OzIOsqkh7fgASji0PxRna7OJeG41oSfpNjc1/4lLeeq+hw4mnLvnfCSFkJRDPuyxzEViMRLaUsEd7hR/rOXAnLB7lzP8Ja4yMHAnHCBFAMKG0Lya//+fQh0Azhm533++XszPxYt9BJS/sAD/pI3h1/0nsYIagCUZMDVHNL2bPo+LqpQaZg0M7yM1g1L1Ud4gZRRWd0xp0NDNJlOcNrvjpzX9EqNL1XCgmwZOC9/vHaZFQXve2RNLRT3reFlgwhCC8bPlKqeR+HNvuMUovNk4xbbHmTamhStQ7+OqrNeu+We7VQX/sSEkPjWZESe8zilfMtCq3gkUiU59XRJLwDAgX44mWLpDOdq7KSwN/RUNqWtY2BbDBCb2VskpE3C7cqwQ1jK64Jg5QYyNN5zz8wd7slEzx66iPp2ImFWc7+XsdbgZe0quVVZJWmyjkO5BUD8wE4fdqsemeZ40sQFsuB76HP6XIRhNHSV9bUYDxTSHzIVWydOsDR/WKhWPAZn5cEQBMf6mH6g0sxWpaxwwrr8Dghhi8ngSLOAt2xcq/9mchiEEoQCm42BLEBx5+OfGwHhsOEtVHW1fnF6KRGOeYwLvuw/kA3zzszMAS1vHoc/ecCllhEMh34H7up+aPbVzQow1xd0pYnwEOzfbEj7g9gZDlwk4AAAAA3QZ5CeIb/AAAGSALvBPQsM1XbAyzRZZuD37q9CM3TM0XrJA69JdWuwGIt84pBIrFiQNOt3gAFtQAAABQBnmF0Qz8AAAMAD4ZCbscFRwAB1wAAACsBnmNqQz8AAAMAitxANTIak7PjeEnbFfXdryvy1pqBdJYBxcFMmAAAAwNnAAAElEGaaEmoQWiZTAh3//6plgAARAefmwVlAdedHBQeenebuBHMMy52JV8/7NvnNoR9VvlHox1G8DmNLB+fbtbibW5axX0u3Ujs29bMqZrDH5lbof2HMqLn28UCJbHnT30XGFUp4wgXb+19kBBefJqam+vvTLDxksq1RrdhfQRon8jPVb9yYiGqJfFFmr64x86yjWRun7enth6Xoj12ruN0ksMxFO9BVxSRasmTCm0T3whU3cHJtzSZLbBbveICQ4P2Up/Tiaw4KPdt4P8ZrKDafPFYCXyqSiIoi6KLTcvGVKkg+hfWo6UvAle3oZbIHeFRNtu2rr2v2nZQfq0UpXDxoTGW0b5K1kMshbAvf9FFPF95OfcOsRfIg9TnkojtgHtExRPDeJcgLLn/VqX6GukELhzucDabA2nfka2+5QtaXaTTZeL4xHHqSUlaqF1DqrFXTmiKRHrQNZDPt2Sf3XcHpYtyj6l8g5lV2M85moFM/0pv6PFEOjQZNgJHtYnVK4bMBvFwXTDE5xwGuCgSu/DsKcR3YQC+WObBF5e9Qcwh+TG/XXWTtUMWp3p9bvj9ZFGdXH5jooY2llML6alCVLpGParXhusAW2+vpF6+DPNEUSkPLsUKCIz3PCOAjDgjXdZl+ndEHxMuT2K9MwpFNsQOBkQJALzvqtPLFM8cFDHg0YtzFOdBnrEF1yq/YVTIKz+4Wru8nvWn/3OxGqFtycUtusDDmoNe9gdBeI28cF9XAMGfXibyQbqCUVPqaBNiqtlwcMDw1djpl2kz2rQRHgNyQa8VD+HZlXabNGN4mPCuA07FOpPP7TM/JWki/uBiHf26w9eyiCGrYzqfygSyjYq/OqdHM4/W+mBdcUcZ7AHzRXekadGbvgd8m7YA71lfGQ5/QjXXiDLJX9rQCzSiBdBHbi5Wb+UaUhb8GT3pbY23VULl1bSLI2qDvmd15uNh8W+sfzX4RwWGa9Bm7sVeFAuRaLEB8yypPiQJ8btC+N3VI9JIftRyy4rHrcU+p9wXe1He554i1sY315YGhrkHCit0C1/2nAfWAzWP6JygPLcmEefGSGoIwSGSpmaabysMvkD7X/qjY5CocXFRW79J5e4u50BLodVyaEF/fvxDbt+bvjNFrjIHN9zGTRIPJECHEnHPwi0hWcKKGOC8dqK5FzNoOSgMwymdN41CTkOOq0ayNXKDPgNLd/YnSVQO8/gnes6pHNniXXckvBKjUyKHI/U3OMvGIOE1z4t3fd6upYrpxFB9gvsErERQ5eJRQsiRxBNcOn3P3qSPsMgx+Vt8YCGQdXUTh2+qCgm7C6gtZ+CtEqQoZJB6DQbQSd+EGoTjbp5hNGfs0dXx6RClh8+Z8R9Y+lLqaLaist+xmHm06BK6Pr8T6WteZT4RdlhotHemc0eGCfC+UzY1iZTIhp713HNwAgqygcY8ntSd2LRoh0xHk+ib/Ls/mSAlE0oDSP6iK6JNl7fRwUeCOLNmSmKnkPvtej4zt/qmeOUdqUnXuLVGR/+5U56d2tGUGX6k8qOcxWL9uItwGp+zlZFEqeTAzHFt0ma6QAdNAAABgUGehkURLDf/AAADAHQJyHgJEJsTppBiAFX9//cVWqz8bJ5unqLUDTApEefScgckrC1C3Ya2CpqRrxDjNZFzThmbw3UjjMcFRfvcQziP3bu2V2OlLlOM5g9rZzdFsc5zHTfKDJ9gn5G5I9KOno6PqJu9KvNtwB38ZOl3aQ00x1ESy9/nM4LAp7Z/wbzdusP7YzyF+4ZYtCB2F8EEqDVEcneEeOaPpVdqzvIRu7p8kRLqZMjCxph6WBeB1TnAC771xipK7wVbcqedZbHEsyNCfNaTGbcWAAanCknaFUoLa2KDi1FPsUhb2MpKz+ok83MlNsV7xv4RuY9n4x1uvlmcpHXZnBiiKI2X3LISWegMdKQuHzEdsasrmTc+REhYImj41TqT3WUpvK8E5OwSjv09UmTKyc84FDLV2TnshHzoO75es/h8Tcul+kGQBQFGFWCw4POk3ecFqzP0bLYjds5tJXIMu2vraBcXHPo7AjG3i/Hh2U9n42Ehf81jQumruGAAAz8AAACmAZ6ldEM/AAADAIlqnv3KOJeW1noKzWBvyb4lnv0W3Pmg0rMoEVE7TQGx3ZJ5D7zMYbqACZUOSFf87AwK7DQwEVS9s/HARnoAiig4la6lWmbss7hT/2f16rLLQQjKSvqJmt8r2yxwWMNLfqdbEbYRPCzL9j2aeuDnU0AMMOSHOwmvfD9gzYn8Yi/3EcWPk+/5eWZmFUcSkxZjFs1lprUnOfQzIAAH+QAAALYBnqdqQz8AAAMAjqAvc36892VWdLFCjvaxiwwIz5fSERz4B3EIFT+ZqQ+NIBnDAAW3iABb6oxBOvuqn9eZhxkgTPAUmJeE5mnnnrYoFyzc+kuTNNWOQALi5E4IQx09vVH7HW84B2LQfnwXbnD5nW9li1vasaFxgg8dYlIYoJd4jd/Q+E1FjRvXkON2+s3VlplUXJ4SaJCdFAb6yxuGbnd8PDVbr4M4H54xOS2SAOzAmT46AAC2gAAABUxBmqxJqEFsmUwId//+qZYAAAMApNFvpD1n2AOZc7PKOPzIVs048RjIBijceHY617bhfAQYMOmfT+qZfJcwop7bT11ddQya27syOXSE4pf772jL7S8BtNQKIPsji5R+uh43trOj36bAg7bHePND/ybQLWfHA3gb/RFuRfgnejWoOHUIZc9rNNeUJcOHTabj/RagDLoXZeWE95KMtV3P27wE++ZKxg0j4TDZB3hAstJnqVwfIkkaPgW2QI8tvERJKncweYxjXD5WbhAWNtGP1u6406oEjkeUEcXfSkPlMSnRcQv6Z8gfRVv+zBsBaE2gEnqRyzZqLI5GMMQyIq6sIxWVK649RlnhX6GA6f0jCqJG/drP9ZTODzwaz9BTUlWU7jdm26FprUgoVl+r5nlQA9CPKYfobwNjeQyIUGcHi4ssdueADWKG8D4RZ3il3K3aJqWAjI2/ovnyYZ9xcsIM3mzZN2m8L6LWEtaJ8nj+KDYhi2fz9IoQgY6IEFa3vALfxRgJcWub10bWL+slDczsGEnnx+FxmwYngTEjcMAi2cwYSxvxhWXe9vufCz2HonIuSsFaeifmT0KNkKRaN88gsZQ36acFuxvNCHYqZqBWYuUS2+nuIdbDO3qJfmQjDflG3idCoCtCWLWC7WcjpRWmX2M8udjI2S9fAT5D9JAGlUwazNby8AiEnnABLeFbVKil6yDCypIb6bl3AJSfMDWyQvylxgrmEC7/AyTIcchW3iB3W64jzuYlHqxa3ldz+kIzmNDDmAtWdpnY8WB0xQe9gYsuFX+hARuKYFecIvJ7YGuOrFOPTfreY3zuf63xna0s7K9x7nfJOjAjDSyxTIz430KjtQ4LVMuHbX2bB5Ol7fjTby/uPiJNQXZtQ+BF5lyqhC8KTQx/0EIJbfIUmZHZJtFCjDuJnZTGm7agUwNxX48CqdZtKDyF/9WYvodHy8tzh1CvPUL6GqehyBpOqfdkbZYz6Ew7xAQo2WbcDjnossJ8ztpb6gptoA6bCRaRQL/VR/vvXq8iW1ilsqU1iCZgQxSKUgdsqcyojD8Z/QV6CUQf0Ud1PPzVUZMBt1ivoqMauOZWdNy6gYwfl9DGdftyYiZ39ppQYcMaXL4JXy9JgZRsyNkbbEOvp3GpjpX2Y81J7gw6YCqzsT7jtcS0qInong5rdWckqwOaeHewM4NxKJRHlAKd+a71GDYe8YJCFeIcgxWr762i60SC1xJVDNwziiQNAMmDv6RAxDHQJEVAG+PECbwBMzxVHcA2CKBMdIL/n5Iu53tZpJx4AEg91RP14qTx1gZbg1KCcq3VaBk7P9N/tSs0oTHr1lpUnNy8Hm98K/3PwDyhgMketN/qS5Nx7dYVXakwwikZ0ByecyEuxCpflhQhKZfjNfKp2iKbPnjjtUYeeHaOqY8RrfgZxOBDgm8UuLgHuCusv9ZKqCtq9CVP/6u0nlfSp6FYHMvg6HEn7SyyO9957OtlDO1yp03P4cmbZpeNFx1FNvAlHRsWiRyINv1excjvjSZFhY0f5r79CWTvX+vdJLjDVVT+I2FPLCeDyp5qahDfLp26z7nudFzJXmVum5++8l9zTgycg3sM5Qrces55/pCbvY9vPvV8jM5l7zKup+aCfr19RHF4NK/xlCYJ/U4JAUAF8vH19Ip/3D3FboaBuISk/BsmUMZ8aXk39RZ4CN3PcuK+JwY6Vmef56vQ/Fwnfcp8/3htb00JW2R1nIjJropYTwOZOQ3GwYehHq9z1w34x6fA/QOdW2hI4bu47qSyOvupKk05vlWtKRoTQCpSmlVFk8cwUEAAAAHjQZ7KRRUsN/8AAAMAc505LLHpAERusv9AkeVy34z6m0Y8SI/NDkvuaIZpFVBT80wOFlFLumrJ2EhvQM9UjjwQTO6QBIDoYtVs55A0so0kp3wJRnYIbORLVv4xBveDFWuay1lsj43Tq7zSpL+v3L7HLbKKnhsRlKrZHFFpFrdyhSR/QGXyPvHII0h7aOaCCFcEJVwaId0LKVTNs1bhM+Q3AKehCzHiVhSEoZKyIc6hL2PZNs53SyMetHePIC4RZs37ogIQJODD3juYCLrpxMS8NUzQkrjLTqoIXhJjPLrJ35MKtj5/qhZeZsxAlc06ijOvmpm6u2Gb5hJvSKtMYsHoRK6/twGOSNoaxvzgjQtso9wVQ9KUWajIqqKbepVCvQzk52STsqRwXQxlYMP+IDWxWNesRIvvekaxXN0BipqLQ4avfyHFtjZdHBQnPYBL0mSkR+jaa1o/E0FqRYBWCcp+o6mbbohNVzOSqPtIe2Vx27nqqtUQOZyx8EHgfPZ1OwLbIBbm7akrn4oQ/D96rHR3slAuNsIYLxW5hNydZ7TnUQPanOTtLr46IaVsZDVEcAuRkNIE1lRVf+x0azyhdVAYDKpl19Qgarx6siyRdHLqAxv5Nuo6Wm83jmtXF6/lXT7AAAIPAAAAwgGe6XRDPwAAAwCOsM9x0/cpcVFwMtZvjXpkspo3vuEEgxQTO6vlnnIHb/PkALG3/lDUu52Gu57HH5t5YlMSvmvN5HCS1EjZHawkbmllSdPUfXsxV8gvb1jvcO77Ad5hpS4gkCm6tl83IuxrlGWqfNocgF+KTNymzhsvzY58A5o4YokDesEIm9xPwbPYb/0JOlSWpqG31zbqnK5KNrI5/IHbRjlaXwasEW8yV28HzBhUo8VKhg2Teprd3xlWVc1gAJOAAAAA2wGe62pDPwAAAwCOsM9x0zi6vxM400hUY+9cB3d+sQf1rmGMTz2ACIvwC7GTG4pTG8ycx+uhfnXcdKw+3n8jtRH956+sL8TOdWS2KrI/5roXGeS6+AArZI1o8PL9I9/tzT7bUL+LD9Xbq5n9giIa1aXu4+pikmoKMBySJkFqF2maJoTas8V6AGPPVazJGouhrXVieMRcj/m791hMjU1+fk2/DWCPqRnZzgalHprZl/726AH7do/U+qZtuIbFoJI+ndPI8AsS5qXusMVAQUuuEIXC6R/YIyQU8AAl4AAAAcVBmvBJqEFsmUwIf//+qZYAAAMCcHd8LB4Hy8TZ309DIFignniGUp/nh0uJxvs1LLvKLexyAbUhg9o9F4QKGwO/plVXeC/N3a4AE8Sg1GdZUTXtkjrXw+u2DkPsdskO1+hLAEMC/lZPQTU7RloMQLqS1OLfj8H8narx9UmI2Zg3SOGafpuM0r0oEUld9yDjmpT7f5q098CqDT64PdZ/X99mAER7oenR6IURiguSdGsCJol68aAA76FVnUpLeOmnOUMgzYzbUy6wi054TXVVl4sYKXLbaX+RG6VdQiR6Kb0xfuDpeoSLQFvtEJ4TTW15wE/xy91JVbE3VJricQ40HtFGx39L2X4BEFRlYuub4FoAn7WX2zrKOIwLRThNF+x0uuMvduhnhCn4TMCtbJjnRqxWQrhKJv3Gu0lzszqqrXD6dNnLdlk/ZZIIf0Pkw+uKGYf5df0x7WUQ7LGX5twwgBK3Oe2yAVL0/UFo9EW0ca/vL4mjJ3T6WOEWBx4x1J93WmF3HziQaWFXqGvMCIQvl+JLS7W95hTrGj2VO7nz3O0ggLvhlKEMBcwwi9oawMLp2ypUj3LEwgHTstjf2lnHnEly6n9IBbUAAABjQZ8ORRUsN/8AAAMAc/tHD0RXNADTClq1+l9FRjRg8MeabRHepU2LHogjUJBWt2+X6hjwoiaG+HQV6JBmi+Rgkv+ziMq18YUVawtDxW+kcve14FzeSfSXl1vi60itZhgAAAXFAAAANgGfLXRDPwAAAwCOvNTev+PWPD5Os6b0XzpfvPyhzBmeQu9AN0WEsm07+y0lH4svDLz9AABqwQAAACYBny9qQz8AAAMAhtx0HMroOCeLoS/eflC+/y0miyclDDJXgAAMqAAACGNBmzFJqEFsmUwIIf/+qlUAABdu+qBEShHqxjDhcDxU4F3nzKjNJ9BITMk1LqJ38qceZujUF+yqycJ1iZK/CiOWnv43bIPbITkFAIjEPDbilza5qeAeujV4XMmcO65l/CDEYOFfICxWFx59VnRogNVfTe8TZGDkNzXo4xctRT++pYSSyfhKbEm01JlgTXGpGBOUspLp5lMhwy0TNmZH7CjT1buxe85agHRpGyD4E5geHSQ+kECaHovaJeEaY3XbYTnKLxOt2eImrvUd6Ne7YsLCp4CoOJUs5EOBwxO38dGa2m46IQgZ7j6WURF/G67dhPdgGzouyZOwz0DKjhcibz/gizZ8YfE7SqrfGX7F3C098YN4L/CR7vb0iDyQtHwVj+V1iMGSX5ZSTYaKKDKu6zoPgD5r/JzN3kyq8fTCr1ZGtPq31kI2kvAUY8eIXLLam6FgTTFbXzbkPSc3A4CTVz6a+Y+HHCKya7XNQ/RoQloBr+pCb6GnepdbsnqOb22wSPmMIxuTscH5Kly5Gm885kjUyEcS8rjn5MylqFyadvE2dQDl8QvpNc7nYAt2GTmzw1sks6jDIjw+PfC1Jeos186Ci555kCw2OvAgT4Emf+ZgBB20gKMEebhe8XFNgk5gQjCTFI+c5u6LsWBwL+iir9EsF6xzaIkYSfaOLsEpdtV0voqF7W+KvCDmVfryh849y6TxG/bXRPP6ntnfjMTZsBD1Vn6I4Zol2GV185AAmv/xVBrs5L10g4RPjR17ZgmBw+wikq9+NYv+rc0VlDMU66lpYbFP2GWUDNGuEXD7HGhYwFwBGZETm8bdppkxF/GVOsI3Wa6Wrswsho4nJHQY4AOQgNc/tfNpd0gDg7LQOYl7eIp94W2vdduIa6yhj3xmBZycFYJa6jycSY9Ws/fpRF7XkmgziPgO0yZv074YZqvXG05ybva4SE7h2vSceZ8DDSz68SsyOphdOeXQHKxYstxVNusb5ONIVjIi6ifolDUgDnSuZpKUZ3cRFo4fXPDyQj9Po7ibWUn0/4HVXHuJjsMS29r67I/NbKd3qrHV2q3RCuhUs0ZDwJcSSLei88gh7RTAfMhUQliF3lQGsTBEfpauC5uRByPIRr9SxM7+oHsu8rqEG0gm5hg2jbP95WXwZZRja3hdusGTs769KoUJMGcCUp2s9usdbMovKdPOdpSKMbDNgUhXS7xWPGsS8xmgliBCxhB4xVSryH1GWcMCmn00KtTac4NTLYpnEm+Q87GAWBGE2Gx9IakWV54y35DPKnEmSMfeCemBDQ4ELkRRwtvkhxrQWiW2DNrlqVC7j/xLX9ZL/3Z572S0cDiOyH04xC/CEmqmdwwU0DO6etw7iU35aazv0+4fTSX08mUL5yqSzlxnSnCX0DUFRX1qUK2WCbW4lUXquhrpY0VC9NmNUvHM8IR8xrHbyJpZ0o2GeKYS6Vf4aQn11S6tSzX/egK8+AUUVRs5kbLqkjrFwQF26N5G5uMkeW6t8YOkXjrocOsaIbxM+Be5XzurilcZJkvr4c/3+Isi3/MZirnUsC96lEHJ6opT8DdtKjvhOaMuP7FcETW7HkR8NW9iQEqlI95aiCjDBpf3rtJqbeJVynQgcKOiCzATq0+CLzXyQIvaR7KDQklQ6CO3XlJ0Icaf1SdlgrH4Qh8T1Pk16qmkVREAJflgefgQ7gpStfiUcNvatwFhopw3I5zFTVMbdoqtolJn6OBE6jvSGP1YAzPnIT8xz42TecBepQr8889hGCbHFyjO0wP2z5MzXgm7EbfGiLuka4nBHK0SPreDpUOTeQq6AcutUusms0OBzoS4vebDsdvavB4hlk3OrmOqRl42gMv7mCRpS4qKub6pk99w4/43nLNkdjpmYlNZsMvhH18UZRi+NBpOVLKiz+rrR0H72UbXNmomOC8Y1B9XnS+e+QVNfZVaIxfi0w8U9+9W8I6urbX+RkKBKucupcR8iIQGI1t2IogL8B+I4oSLl08ASxC3h1yq1jdwmZr5i73Zbdff3Q54PMIVxCBcN/dQ9cb3pvHN6F83ZbEFzHS7ULTwf0xI6xY9JW//EC1nJKVSgR4cxH20XbK+8/ZXodgsjVWq5fPNEWFXFIdCZtrU0EFPtiM1F2G5zsSOo7HgDZoXRxljaBDyEnpgG+L7ywf6xUnbEYqxQIWiBStvZTXSx1dDUyZ8xU71HCSasUT6GqPCPuCYK0kX+Dt9RzDme+8XNdn7A1bW6vnn5MwLDbS4gCJ0ztDZQtDPuuvGPCtc0kIU6Nvr9H2pZ8ZBWSG9UUDqLOqVtJNDpqnkDnfLoeknRK83y8WvqUbnb+SL8h0At+ZvP9h51/ulwy1pMY7Ls0jxEaJhXm9Hbtj7YCg+dAOtJkpFggFDy7U/JhhY88TiN4fmZW+u7UTAaxmLsk+zAcPU6I93Ie24jcGcjOKoz0nZyFSS5c03zumDOJSATcbXRX1rWjrH3/p1QRTTGvebDt+FWaHHHS+m6FNrpB46E7vjjNgMP86Gjelu102NYGR54R6Qett9kz7Ef2tWk+0gbXH7hMyL22gRzv3RSGwa3oAxNrWRXzN76aRzlp8b4muth8mPTzwAgEaSneWgF9bWJTQDwOrU3RcL0zromt43DND54oHSV9bZ5U4swLeEWRMiRqZUfGrb57d+++mBuxZTzKpjz/Q/4ExagsgL95fiDlIFw4n5b6z5u2WXGlZiPjHEyA/LuDOjPQat+pEt7DGRWDx+y4DMqXs7AQmrF2goXbImqRJ6i9CgX02OIiWfx1FXD2wiQz9dz9nHpTEiNqum1QH61DC/GPF32pfASqq4i2qChzzahb8b++jRv0o+AC0iVDdxbQ8k6mq8YSmKSAAAA/tBm1JJ4QpSZTAgh//+qlUAABdu+qBEOazr6Yw7K/UGcDK3fjCbDT808ZrnJS3nzDhkEerPQO6uo/XWvsQvpXsVZR+7BF87uUwTLSsnvCENPc5fIdz35G+PsXykeRMC8QIfI3ap1D5nwt3rA14rdG8yno9QGMfA1CikeSkM1mYx2M41hUhF/S8C3r1wWRXdGDmdMjLit/s0KWZfM09zR8UfXrXUeIN2kC5TXuVDEYxH7LHOw6Fhc+k8WuMiXQi/VzP5IzsicW6zprbaAiiCRbxI6KfAcuCGuot6+WAgh6/b1yYSJeOzVBOlSpMypivnkRV0fAO/63K+nEbMNJyCk3dcEY5neCxsAInuDaKVuQavySbk081Q4qlMuDRMCbohF8SHjiyJcgM+1VP67fS20m7ICIFrq3c3LD3O5ceAJKYv5MXTQ1IquUCxlv6H1oPw5pYKFMzlcfibA3VEreuFtimkNrO9N5YYliQc91yhF5O3VThp+5JzVIfiCc2pK4Wxbl8UzbHJ0sFVx0zRL7f/AMXdnaPOBXZdAkfwr4KRtFvzWbi3nBCUhApCogcvGmAi0TcQ4Qw0Ir0rdu/uW4uycSjz/axN0W5llRVxwQLolwWYowcYX3r8VKHD6j3ric4M6KsMaVv6vx2l59yVxwOAIX+dGtJJu5RLJ8b58ApZWp6LDa98VxntsxeB82ZH2F4e6/wwB6nc9cXc8MGXKjYohQeaeOULamHl2waA3ZGXjHvePxcl7FG8mPlvOJvAwPbywq02wZI4ah2RmJPe2mSjYKJstXXGzIoZO2kLc+CkD7uOQQ1T2RSRNDWD+gkCUo9QNkXjjg4r64Wisht4ubCX8ilZ2w9GjVxHKTj6Ve8MxhzqrhAq25iF/Mo6TtBHYYLppnktz2CVWqfyzczpZQjXVLjYh3RDISdfWJVF8OTvDTA8oJlfLkdSVyKuNQfm+9rINfPHO9RGqMYJWbUTNrH/GMsXQ+VqA8+hjmn0h7pAI6Nf/2zGyy0N3zf1tqK9zYVYiQV6/npc8ZzSGau7PWA+NmZ/5O1SNd9jdPA9d0c/KzElpAixzhQ31vtUJ5WzI04cIf+vp/wUqpC4NlozZX3P4px3ZoPD2U8A4XmdyYwR/N+Xq1PrA/Cvk0+ulZv7T35LUeyX0aNqJgcXCiJ76d5F9hVswXP9vznFNVbJW8MK3pmZzV1EiDbhJzat+3qPBCRORkBff8iuPqDbuoJ4+ZiOwiW2dav/y25BNCy8OmFaL4b5MZEaGLikC+PnY1oua6082PEKwGloYSOTqOS3whgxz/dm+OI57dYe1P1HKTKQ77s43K7QGwfh5WjtkELDWvlGGf29w1HVTfXsq5mRQQAAB0RBm3ZJ4Q6JlMCCH/6qVQAAAwCgd9UE4shlBsUd49LpJVs+78bLmS+9IJI1QXbly9WpyhJNc6cYHUmOUwQmG/D9hXpXJrRCRY5Ra1Gjq0qjnUJoD6Z9q1syD62G0pPP7VQndWxnRvDT8dw/vio+xhB5mgY4J8EZu1FSmmul1NmSeMizkkmNvvNaFkOxRZvQPbO1R8epklypljTC72/PkueKMsqHDfg9nI2GTQOlF6cWuTkkxOTjLjIB0H/VDZ/9YqqCzYY9FEAZUmHINpV6HrO0ukFfM6Nni/Tx3Gi3s3VRCPi4ks5+hK3Eby/Dy0Kul3EproaIPqklZzABXHe2decHCPOuT8Xe9sAfukHNQClbBdsGPR2VfMm89vXo3M0YOj6P2NM0XxTmIYbacxm6LFGs6xUARAAbZIZUxvvcJ3h+aDVOu4Wvld1XMN8m4d9GCzI+nsCkolgoqfX5XrSldqzAPaYhbWrJS0BJ2XFzK0znyaHpvyaC4jPKXMmc1ZW54TqgqYp+OjNqIAQ89it2+VezwIyukMq9jj7SSooZKECqYej+ZzqA+cvVjrZX6ELz44z9OYI5pKPBUEgOwvMNNTxc7UbsNQTxU8B6B14XoIbWWrsfq/vDWeL1YpMnM8HGufVQ9iYF4a94DA86WL36Y3HAsJypYXxyVsOFKCGq6vOkvLDG5v7y07SybIFjt9tCsT6sNKoeG7pu1xI0idQhynXFjdgzcPFU03BwxAE4Dsfs45BHsKqP0gqBoDgg7MsbkVKCixeR7y9nz5UY/fu5Pk2Ba5FWn3RyBoJTD8DcpJs/kkP3/FB5kq1I5oD21J+qOWwpSOi2//JlL25vSN6U2S6e4VE8E33K4nG8Kvm3GyrM58Z8RzHRiMTlS0Hks426X4IVgMBKptH3Wgc+bnVhNbiXuOscIi2OZLEsf4ZhG4tLf7rifpo9UgklLxmkQUW2ydXx4dS2WcsaQV5nbc5QeJNJYq0KC/dCuPU6ptto+vCufOk2PVXiv6F0hqveYXRGwAwezNdFhJthwVNlHfpcNvgi71hNXJeBC2juctwA8SL/K2j/6MtzzRdtkN8QIA8zxQcm9JL2OUOTeHF7GhgF+Ypzo2pDjsd4S8cWw6CS30AlaAxwErshD+U4ChuEo1LFdK9bhqlCr90C0dylF34Dffldlq0FwOUr9muL9ZNXwBFl8wSSqhzkRrOquQ7zrIMCOf3hL9zbp2fxrFyBk6crT6k7WeE5dbsSSQO7cU0cJqFvko38M61Is1aszze/M5Bkbwf+jT0YjuungZVGusDw1WGnssWLpqgmIaFQXLGEBtSzRyV15Cxd0mqCDObM70fSF5yc8lRV5IIq9fnYs4AxuFz6KW2G4WKB2ivB6HJdGzHHma7WD8fUOs+MQq/n5A6tfWXudvsafUlUenojeO3bE+W2bmgnUUDZCxFSKrZOmlvPLFT2sw14YaI4Qk3wj/G/zMsSxswF7mErI2Fnj4Qx3dM1ZmPPKaEa4VBGLHqmCthehpUiuS2/Osoqynq8B5mrUXHxJ7/60ZvxY/0gRABp/RgqbfLrZ2e29T/wyiAb1+opa6Dy7ROiVsFMArrlZ2Kl3RfX7kqVkhGrwv8IuzAlp/kbOVP8GmOuMa3/REcJm1f1xzVpJQAU5pSCDZ6VTdtVH6ugv7rvCHO+10ZO1XSyaiXu/dkCP0bEkqtBipQ6Ex/o/5C5qiLgYiOJE834eK+1RrSVDKrZJW7tKs1VJfTuNOl3Ega9AGnJjrNMLAjeUkqthBRSrU6R+M7FC/GfzJBYAkuJ8Y4XTb/9PTtzOctgxNrho/Ol6EJ5lkj5K3Blf3OuRUzvLuo/0248YbuUh+d3uIqVVFkFQ8WzipMvJLQKTpwPh71jNvBpUgJXF38k6UWRlwN8XcOib4v0qC4YKNp7rL9YYo7F/+G7K5bEb6gi/9UXKuewD8MBqxdqBA1zWxN1RTCT5To3usPgFOYLSFybpyqA3Vqrp9f6bLcgCeEiMONl+BWnAg+jwHZ52eqJS00dj97hA0DbJF9Wja5qHy/VdXibmKMPVqy2ci30JkEB786/Wlt6vBKEO0IDed2Z4zfVItGoaHnWpXsr1rBYqTSCvTbIgUyDfT2/ANgmYQBTjWgPg7yR+U9+DUHdpG6OSs+SexuaY3ShT64D1rqjw2CWEQ+GSR48hTDv5PYXLscfAqThJQ096GG5s1peu3au8VRJPDRVCbQqpdv4HeUlxG+HD/0rKGw179lhXi1cV+ENDHkZ9u+rlUP09tnE3EKB5NZLbj4p2jgU08PQ4unsUXYJVOKn8/fO9zErVSSz2NcbyKkflHQLmblKrizDPv626y9C4aTPA+O0lRqaxk7cwnWCbg98yHn5iGpOGE7bNy+4yxRJ6VMzx3PgPJ9SunclYAyJS5WBwzaQQzm2y0Hb9KSJ+W55NpRpc8NOFM9WNeGsfWCdQKAhiMIgUCTIeP0KsMWOZkesQ3oAAAHIQZ+URRE8N/8AAAMBki6T6JAJr7ajQ2+9jikXgqCIZqynokDdEXLG5mTaq44b9qtpDDKbtl46lMdWj5P2Zg5yxpkKhjTCTaJDxdBAg3Nw5+M1hlEh0EMTzCVKPawI5HNJiRzZTQ+Q9hdviXYlfbtRqxqE5Zgnp6UqBLHkhbDMM/rWmWDo230d15NcuCrGE/ChcfuupVuMp0Wcc8A7QfzGv0mslj4/GZ8l7WYZesxw1XQrIPZmonNOqMT0uipPFqMDuaNnfON5SynP/AkG/P2PK+3CYMpNOO/t4Wuq1YzjRQgPpNUCxLasUqqn4t7OMoqUAgwoWuxYGTuQfoyl4yxZa0Nwzjt9JPV01HnqzK7FUVZeBafnjyo+ScX0PAPmGrB1pTZWxm3syRs3QJzRasF6liT5IquVoQ5ydV5vJ+h1pX0rGXOME0u3zdIsO9GI+ZVFTYVf+yqImxdWkbk/KC2Pf71r+jjhPfUAwSM6vyTNjbTJTR/tBPl3b20LfJyhhnAKGLcKv+EtSVb79S/yMFj67WbNroi+1Mv1KZRZeeKXKug5J4Nduh9W9r4wxUEZDcK7jUxO0lWsij9+QZXQW7Ts6jvwmnR2AAM+AAAA9wGfs3RDPwAAAwHbQ71zJq1Lxbu5PuVg8dLwXYAmMr9fWmCoABKouP+bnWI01hp7hBy76dHfebeZqdIQn4bffZJnFXNLy/2pF1kzdoO1ZNB0T2f/ptjPKxkBPx7Si1Z9Q/pmfvssnxHygfgd+bgNc3H/bMXtPzczwoPxrAIO/82s+gQXn75LcNqjBknj5jMiT0kro6fdawcIW8gnLktKUnKliu22YZ+JMnL/6IS7vqE75VmaN/ukPLIH/ATWLO+z8Bz2xLr0Hu0CtYjGK1RsrAmIIZN/UZWbvvVrxwlQIOmttPUYyHOBReqaNa/Bit0+WLoAAAMAMWEAAAEuAZ+1akM/AAADAeZhlyAOYeq6ODnHQlYfG5JJa4yrvMQ8pH2uo5cJXOgn4n+KvlU5Jgv3KaCHKKEzZMoRic8W+HbZzDYb6mL3UJ2MzhSY2rLgfEQnGqHxA7vNaj3o2z+ATJxRvXp6JefpU/sO5DNe0/nL+s51O3yNzaPd2jYoivvgbKgASyuMKAe5ngMVHx5OH/XtUSX9IB6smxN2i4g1YAXt4WbMiq5JBSQ4uqiG21CfGb66Pp7VgQhlgoaydiePU8HYHc/XZ+hCEygWTecab3Ile4l1dKTia6hFh9VI6KxC1UBdYYyBiJJPinKodc067IL6O5ADF7X2ugEckPQaceybng6nPj9dG1yy1hQmvK9l2eFtnz/tRWKO5/2mggk/KB1tjS5P4B2ySjAAQ8AAAAcxQZu6SahBaJlMCH///qmWAAAG8pCh5hztVmfbcDLD6p42YH9O9n7JYaVMUdxN/Pvv8siW+Bd1OOvam+GPcAqrVsPzCS/Rhaeb4dp4CCJXl2US9GvudZewDMLjmARaRtNBCXSGna5IAQDHxp7ZFTgk23UiinNwnX+IIOCwsyIfnjm8wa2CO4AnM2uPAPyS35Vj52uzVKJ6XlOLuZ4xRzCj5EtorDHKZWLClMNNupSheYH9iz4dcZfUhdBtA2oXqxG7D6Xo+Q3zN2rEW6h3xHRHNEbhc6T0u7ghnc6J1Yjefm/emAcQXmSe0LoV9/WMdmPEG1gXELp7MytSTSHSJOou7v1FUz+CtO7CY3NQnPQcpSaNAtnjk83+5DUAijSEurj4uiXyb1gHkGgu0gLq4/E/SnC2xm8hZgkPOu4/AkqrWAybQeTTmnenqAu5qWbyypVeRR2/Ikv3zYSsTrmMDMNwnPY5/ywRMGG88r/sGck6hsLkQ+dxqO60zfQI1PgIiWPyz3QmtGHrSu2tB9MoHTvsmf8R/HCVr5DhiMhX4lcSmfZEZOmxk9EW/1qhDln1I+tUjfHabvw8tSNIJvbXXXNyuVdgzGm3EGU5c1oqQWXfpIgRWycZOUhe35/tOphnmZnDjW/pGgIoYf6MJE4/WVozJMHO8FydBqMC4xRSLkgVIU1iyycyLoRCPhKlmGrWN4nH6FOgxG7NUAqdYt6pZqQU1LrsQCXVcLlwK0uO7sMWcAs4kPrDQT0OtdjklI1JH9wrcRMdQMfvIpwQIAa9LQ2N1LmccVh7ln5107hYLC1sJkhgy90LzTUOPRbujwgnyoJ5OMy43zgd4AfwuPALUbEmu1o8IqcCtB5V755Xr8II8I/6go50VnirNgWn1T0EbmGJXvnGlcUVzu/rw1oP2o5ct8QAaVygdeFo1WFu3LIMgp6P9xgueLm3x0DEVu4FBDJsDCNdJdJgHbFjZfbz4vWvPsaEx7T1o5KG9j/9e5F4ANRC2mAZQX7iH8Ut3+XC+5FaAaSPSGA2qRXQOsq+vMW9JsA1bHq2tvJyVjvpfL6SQFFqn+Yv9zNwlIBBZfOvFTrapHJZP4O0bEfPJ0/G2qDrLmPJwi1UGwcZqTMuLvcuscroddJBE0cfQ/fVdWmV2z9Xb+kdgmU5EvJRbm0DWdQlsuMv/iuaXIX62dFjoEq5ggvPxkOOWSLiMLdtSwzT3IN9tyDUcvWczpvK37v9gPf4fWQvswSeNepb58ERNwzFLXsjB9asX4+0/V+0wDNBzTxAAWUFlU14Gu0XIipQubTsT31jOUthnhVeMN3GQYwD/HJNoKCMaS8IwpLIlrjEkviau8PfEiBQdLoPg2cd3ms/WIDhAd5yhR7WrXVAbkT4i6MiDF7KOXQOhnwMxLcROu4xfRLGqrkgrHtptURKHm1TCScsjMpYK++KwPlmRtpcrOl57r5OmV0VHtGgdUCSCzmaZ5XYxmfRBmMfZfB0K685F1QZtacLTaOjYotEvjYGtR8eB0+LlUr89cWgG8rNBp0bc5Akwi7s6/jhVaNwAHfNDO8R0JsYxnZ5y5ckzMexzOZG/FRCQCxzVDOwpq7hgOFE4IKAzAluCbp74fdHTJy9mwY+otUytB6kZ+3BSpMyX9WbALRqd+FCsoUI9MEgneHzF50pCX/BU2b6iMX1f4nrO+F3xbUKi7QH9dV5kcrj3REVcRJwKxqZA+C3fJgPR3xw0eh5hn6etkxI2qVkslIaQ/dOVT7An2R4FQn8+FaVfTr3zK5YNgEbSH3KoBtm7ZQTeCI79DsKkBJiOi8q6WHIRbrGjsxW6lRuoO2gE09NlOlUTgvz9/tzuediVMupIL4qXOTeZcN8VXEoN17rrXq5Z5cOuX8aPi6fG1KRR3utJLHGBPrBbqSTx85FfEFhQKIsahP2BSh4QDutT4vp9Qi9DQ/lIgDULh/KM6KjIHS7yCkS9Idjm4M1xu0EUPC2sONclfGF01+qfCEN7BQIJXvOZ+6moFfoOIFWrVvkEDLeKUUYd1RRrH1Uf5ulwEp6Mz5/HD+kZEy2mKt8IfUEl/b1vqcdeS4bQp8IAtkg+heMAhWVD9kEtTKVmoeyUu4GR55R+mhwx1W53Lhm3CjasVe2hPajoSqnbhaC5cAP14bZMfXHS4cZBQRUdu8ldmJL/6YySn+6r8SIpnK1lUJevmL0LpzVd/lJq9W81q8+1UWp8pz1af5ybp4n6prHMF0v7jf4EHvP7P90ziWzWwDLo1jirMQGyj7/wzzcb/1tk+SAlPlNVsikL/5+5R3aJ9SIrUvmlU1440BUe1w6RMr89fBfBZLF8xGiglbmslQVH0AcGRqSGHeZcQtYKcjs29uEMn/y4fBV3Qt2P9t3a0zkSO7c3ZEWC4qnU5BxnC3GO3glaWzkS70ZwOq3ryACgFLRoK0cpmfH5yIQRyq8QDGwYoiCAtMAAAGxQZ/YRREsN/8AAAMBnC561MsWPQfxL08AJUvCx32iexRC2SLFhYPp/olpB1ICDv2/UMCtU3He7JCSWy+BNAH6wluzbUnMKSkZt6BFbUmA2dGSen771e4FJTIcJR+P+30AAQ4VVZRKBnH9YUTF4O3G3qQCAPtNsHUNz6vnDwM92F7mHs2v08t78zamsBf0O8/wbGLx+H8uFiDzm7rFfGP3zJ5PASyLibnIrnr3H7rnkrf0AkJBbngbtpcriMiOGXmlqrPIya/eUECqEXYfuk8BO2bhffxx52nQgp6OceLKVxz19GBKfQC8yMUMDgbpN77IIl76KcM73zSL3E2PWj2HDM8tkMcUBitlOEpjDRkrtK6Wh5FC5/Cf/NieDNz39y6Tf94+XPx3DhxU74dCkdiC5LOit0nkNU0gLbvk1MuGs6InKijAENKCpydlr2Ofvb0RiQMD5wnbKB05jEx2H1XnH/ZU6HACyl0l1Wr2jTmjec6BYYdeEn1yJRnTkb7mJZ2AYGrrMLa12WbnHIIPxRpTO5ftFrERG6ysxZjEzW6fDvlm1EKwoqAedOT/tcmZgAAJGQAAAPsBn/d0Qz8AAAMB5Zqz2KHd5GjE2sACZEWMPGVWnCFpgRug6/v7bvG91FEJzU/1CAy3IkM95VYH3aXqgenE7bNZnUC5rG8kzOt8j0TfuH051DpS5b3kR/R8s24C5uPmgi+V3jxCcSdyhfu6h90xJUgbpfUCwL+HMNY49AefVF8BERHrIKlqCWkeIugWsM7fcE7O39jIkKAkOlvrZkRNgu1LcsdhVn58vhTm4BeCa7D7tKR80WYwARYvaT39pfK2tZKbIzSBrfT+pHq8NdqYzIjzPQe/2G5ZKrFiO2Hat/gv+NbPaNcMqY+4eCzpyq2GfBN3TsTfDGIxAAB8wAAAAR8Bn/lqQz8AAAMB8KdSJXgBP7MNWyQmIzBtpDsRGaUtApCPRnSzoiePXyS7suPEwtDaXtIoo8JfP0S2+UKsT81DMw2tX5biRaSVuKVcoU17TbrhpAv/fdEEnSHvf9vrmqAFtpnoviVBfJMDuPZ4Ch+xUS20esA1UX81r/sPbSJ/5NhGtInGRGslYNM0LUGQ2FsS3X2pWpxgKqnG7HiuK35JfKiERmrfO6QtOiN9/FALdplMbpXXxUUI20KGs9ck5iM0QTeHPVQjEWZt4LrHXnXMJJVMlIZZhtifqy6KTMGFzUAovLmAumV4L6omnM5Wqng/mMjA3ijnCnXEN5vulcIMJNVDDvZeAzRGYszJMLs8Z/71wyhYIBELvChxcAAk4QAAB5hBm/5JqEFsmUwId//+qZYAAAdItHAfgUbO6E34jhstjijeuE4vGnDRigddmfilFFsD/OcpCuiUfKEC4irH9tGvPdDQ3z3N2Jvcx8QAa9NpPDkxkYaQWH3Ylhttw1C/BWX4xPv1GLLwLyW4NvclWpabpznpst5WuC7CjKVizNq8SuI2naD0ohIAhopyJIGhYGITq8Jl6M0L5XWcORAKclQqP7RRsDvk8mQrjxDHuMtXbqT8dtRhmo3yPqFEQgO2TopNSlgdOxQA454DxpX2EMt/BcU5lEeURSxK0SRYvnST32h9iBiQR0eHHz7T0bV1mQRGheWfRgrByaCA73G7gIrKtDo+MIUHCs6rkdesnQwA/GZ70n4G3Q3ne6fOyDIub+bIcum9v1KeqfNopUc+6oZjAZ4U3CULERTKvnqy9I3p8cZsCv4UbEJ9S0IWGRNJRYdQ+05fSewNrzdMjBs6fn1iTqIImgk/T3lNb1LyXOP9xYangWjOhTUBiPWCn6yw5njvG97S3J5wi1wHnOln49SLiyIhKpZQPY3Rpk47NXcH99X67xLpa7+z/4ZipOf7aqnOp5VQBgaMjDvzfQnP1W58fmzfUx7RwQRFzFd6AGzJnXZ9U/oOjmCYAnq2zpU7gHkSUSJbrL0tJhcFzlVPQY/kbgoqir3Wl0kLGSNthunUnVl0tYIUxuh6SyfuCHyPP2Py0S0nG16pjE964TqyDNqXmozDKNP7M9Y/GL61yQ4cx3j/q42hM+j+l3QTpMD8TDIOIm19f4EYfJ3ApfjH+WTTy16xc48h3+pxTnIoFcLsUUD0wZrcqKXGFfxJz2w0cCe+7e33WtGopKeQcAexByD9riFl+iTCWSvSLeMIBEAcbCr8Yw6Ck3JRp90JoYQdrdQYTznOYFf5q/6vROwhN/qbIyfifiFm7MHKNqZ2NuLL97l7rGnIqbMc04VZlWnVMtgOePquaMv/I8WBdVQp7g5flnxI9hN/ROc1LB62q9hX9mlHJguG1Yh0CAaISRRSFIJuL23lxTF9BoMhaLGnom3va/86OAC7EYD+Jvy2oSccPnYpCSBaQa+bgiKpI30yZX31akc5LBxAVUcD5a3eoXxVmJQMnQejAw+cDuhtz7XNo4r4G5rYlj6zKXLrLH++2pGObblE+Iy1SupLNoNCMh9qATvsHX2VfonGoFgLQa2jKBouO+mrnnhWyOsEeZKH8KL657NEj9SVk3inQ1N12IePJrDwhjYphDq/sYv7h/Sj8LF18M23qItea8qIFU6JiNQ9/8SdUlQACAKAbgR5VQ9baY9tWZsNKrFyKB+gY3ZV1zrCHVCWQPz/CqZFgWiXDs+cdgtB98UbE8U7A6qtEK3ZV8exm3jHerKi3px0sjEp3O45idIlbHeskn2/5ikXFWl3qpuA49SB7ezAsBbLv/qFumbTBu8kYfY4nFYgRJuWEIKgux65hK85ag05V4oZ4wMAGdzvJNpaAtKPX3vK+72JuE+S9xYTN9ONdX22/aEoQ5HPXuWme+Tx1djOHqOd/vdEz7IsqHXAArBJkbSXaP/66tjZ/OKwjoRlKdukKMPSDQOIrzXuGS+nk2v+WnkwayaZMNpjFD1C5EqZcEspdN+jAhGzEEoknrWS0J2UggIx91UwiLejcyM70DWHusaH8zzkETbDJW/+hxZYzgep7+IHf/ySIDGv2iirRapwMYPwLJ0QGeEEfLnuaV9/9bI+vbsmH1NOmCOqNDkelht4+ffXeMZewugJOlrLdSaLmmWQBa6z0OPZX9UZkl4bwTmsGgFeYZstshaPYQKbgpMs9pvS447fE6A9dabItX8Cec76EcysXw/wpyIT0qm1FsTAGSbzk+sNTtrKuV4HXy2DgBcX5zS6+ZvC+5nhA5FTeYybrV2JyH+DoBPv2nQCqNcVuZIbcuj/nrDffotVp33Ee15j6zKtOOnJmQvrYcoP4REkhIj0OUi7xhGcsGEEMeQflaPWXJiKHdBTy417xdlHvPHyR8zMUsoPk0NWDTWQNT9xLyFAEwiByqhgmv001fgGBbLezkiuPpA+ryjpjao6cDGPLrYcrLWrLHfpdAbS8wDVEmL9MYYcJ+DIGMIFY7v2EJB3TKSsgbRXzHQ5QpSDIbDZrvlJ1Mk6avZkMgRV2AEugY3TUWCjFDsfYRFU6Ny8bVq9pq3tPxDEx91f1LR1T6FuXxslUn4IM63RuggqDVWDwqhupK0isEFa60Ywb+giIRdYnghNziryiGdEAiUrbeaps0/0lUvb00BI4bCl0ZZtrvyUxTQKLfg+hpyuL5NmRgBzZUyMyZ3QwdqgRl/meuFbTELO7rjbtqQoSMvE3HZpj1kuOPqUI3Hd6aNBfihh89gDzsnWEVq/Pd5kFxttQRHzr+7h/HDFcK8ErttSHoHL70iZfk5vSyWEZaVGt6BxIB4Vwzc+jKJTnlyIbyJQwEAzJi3V/rY31cEx21w+b2O36/BfUH+Ww8pVkvKsJrB+4SG7uy1lfWZJL/1aK2BP96cQza87GRN4YLVkTxVcdI/uehk2ur6Ypjh19TbXJ9BcSIG5rTpBr3rbTY6gOW9AI3g3E6nSFATlgR8AAAH3QZ4cRRUsN/8AAAMBm16LQoRjvGCsAAtLOvNirS3sMMUtFY2v+0f/0sdnq55pQpyQsLM+xNiuRxRATBncO6oECIRMnktvITbGt4wdU/hPiQiYEOE0zJf4W+f1300rFHUAxbA0DAMaFv11JWVL9sGuCBagWVRP3lyUsFkEiCiWUovl004Wx41tq/8E5110CWnN7WzP+pzcBfjb/O2l7ORXCF14Z1Aewzt0aHIKM5pQnBAcqE+PW+UBXstmZaExYPGpoF3L786R+khe/kPSsG6mRrHWbhrongwqxcnstNrXg+ggtHOktAuAsNze9Fkd16rZ0VoGMMrdJpWnsArr1Y/WXPjIIt9HzV6AIw1SeC0gfOeeHVcE1aytL/eKxrGG7kxMrHMSw36eqNN6i/2sQXW0kyiWyR9WUITtt09qHoyy+Mopjz2DoBLCK+9VxVjGs1BC9z0MIl5hgRxXaLBwKC7gfECoAjvDa18rQD7FfePak8sqAIGL77IHiQTTUWez+cxe1JJW9ETol91GqBvl3tKi6+qj70qFGwo3xM13sKGj1QF+NwQUIdiPywzsc/d8cPbWVvbByASdvVQzRQVMB5rdS9151+goTiPQjsY0+we9qonNLmuuCq83UTIxiduDakXy+56xbgLVxXbsAx/ovTBlU9vrfFoAFlEAAAEiAZ47dEM/AAADAetArtCDpF5ZdgG8azl0yMAQaXMD9RQFOegA3AKoSy0kiBL3rIkx8ND4fvkMoqnBJuDYBfLwvBszmzRsy64W/6DKrKkLU1gKtYwLVTcE6znz9Y8kOs5kmEiVqeQnw6trrRfXgnJMGXw/p+Bl0RGmyrv83NmkrT+QT1QwooB8p7PYq1tfQaRogXWW35GUlPgVh2H5jBA/aYkV1LTjvsHZei9NIwqPtrm3/1sHwxFE0qZ4L63yQjyHA4iF2TpKvvdPU0vhRXE2bsljWHYzGjvkWf3OoDXRU/Yf2zEnuFnDClSVe/aH+POJocLSNCfFnYjPOukznXBwDY3XO1MAPUNBQmEGtS1ZGgViXCb8BtcSWVhAbsGz7IAAu4EAAAEOAZ49akM/AAADAfBpDSLjdurp96Geum7cf0buvpts0cvxpV1kaQAtvseO0VukoJ2pg4+pGZ3iPqV7amFesRSa77bIdZVcMLbg3J32sLDQzNq2jiUvmGf4Pdc6gys9Kq0QXeUMtvQf71cxl+P4ecqz6LH3OX7Urzi4Q/yZuN9j+NTL1boq3LIGfQJE0bqthW07bwD93W2MbPZVVQV25JMR1pTXzG3zI3YUfDFsCSchv3JXb6yB5HU/dlJ2qMwguyAVEB34ybvxyOauUs2l3autTCKud1ESeCXdfQed1hgxa4DX3OOPbTG/3RkXodBengdDJbKC5GeFWt9Vxv5dpvIsJSKxU26NDbHjF8KgAFnAAAAHhEGaIkmoQWyZTAh///6plgAAB3vZ8QlK3ADVGZlqAvWGqQboqb7CsXTDnvhaJ2+TxVF7lqF1S4A/QeQC57Tf+IHa9kDWlyUEPNhMUMSo06srKDujRmzreiVb3hLYiu9THJOCmssdMKS2ctgKqeJ5MAPDd8u5ead9/Do5ShgnM7/+KY9EAq5x6+jaUxl6XT27mJfqCRcjz8+28b3ttzFK5JG7gkESx6i+DArbvQxWkfBP9ybJVdfacTunQo1KmJab3I51lbxKLc0d9aAvj0W/rEOTpwLIr4u6wvUyVQETuXOGbdfnKhWqrihRrVFpAn9h/DA8+kYfJEJwnaomV6vjTCPxTcOFe3IK25uyOnmxJ/zILivlnjdBfvTipSPLo/fktkjbHoOr4SKzSZLIZQNxMCb6udZjWIGOC1eDBJ5VM6S0DZO6NfVPQvs5tzSPeJkskIB1MFGcuRxHPVJiY/J99B6HFRcRLOUdGa2EXr7q8O4xnPqcvkZI2XQuPUcMP/GilcY1ZQknUfOSNo1lr6IpE1JnLq1zdSsoBvnUj4eyijugSKhXu4P6QodIZJ8Beo9vhTGF8diRAWDvc7U8Fd91kIRdBTNnnQeM3QhaRbMebZbX3ZQv3oQuNHBCBDw0BK+Q8j4wu+BNXUQE61t8ZdtLke0S3GTmJJmoMDJjvgErhckC6MixYnF3BHS91sZXtZ37nQczotinN/FhXMXPZXYTe0amnJEG8B9Kf0jjEx7L8KtEqG5uUCfaEr6NDWGvDWV+nhVzHNpk0KwMtbrnADliHGWwkM5lR3u/6SP8NC7HFyaenP+muNaxsKMQlMG8S2ril4JYWZDBjjEmNs690HliA3IJ+ESubybkLyC/b8a2ZRAI7ciFN02M11G+JmOJAFexc89ENNOXm4i/YB7VT9RdnapU9j7wWRObo3r+gf5efqlOr0UQ/RrB1Z06xD7vK5u3TDVRHrZanbbtgwfim75GNQucVyBbDPnWL6xwQ7QdwvDYPHwa2SDY9SpU0Mq9BMTDKO82ZmAsKdmLu57WAwuJ45XqP6EzegGBrf3olF2KAC7h0fn0bh+Q2wtc9JPRDVevTh7NziwfRLaAg831YSDTTeGZGpnvTfQCttYDwjx5gWXXnUVBmoy92eXG0CDATPyH4nyUii8UnQ2hHr74/4mAsIP/4jKx3Q2+UfZZKVgDx/9gQbaOCH2cL3NJvDIm0JDz5+L9S49dkwiG7nGk5b4tN50uUoV9KAiN1qfRn+7p520XCXaJsWdUIcngYkfKPy3F561lJHZt1uL2ZOSfzS98tBqjIDykcwWMTsgQnpxkCmGukeGbkxb/ZKukFUvzQsa+Dr7p0XaWGmXMwWXHN12VBmx/ITZbN9UqndCDBLvNCDrtgL1qTp+rSI8WEGAP0+MD1yePNX8j5LrRLG9z6cxWY93vvrcrh9hLwu2HZCqJS5AqXRgJYX6B5D/mb2TzPOXzWMsLedSkAxsKSZbs0+iaPiwVC3zSyG0NwuyygMlm8cAZnSYC9mGngvFltWU0rCnd0OYGdvV7l9m9Z9XJSB02YlkLrMl6D8dr6E2GUYu9/JYq6tqrF3JVTVrPPO50SVgzE1eQ0TMjtO7HlzHESWAcZz4dctIsk2ORlhFlY0AacvttVF7MOAh8ueDuCGN5hJSFVKdspEMljvLZ9KEhpNApCbLQEltTA/Yx7Y/VixUSkAO3Thlp/OfmvaJu5GUkwO3poioPK1vYmjWgHIARindBvGyHCGpWbzklon2dbOemdQtNK8fi6uHRStCv5kHEx85arXhcezLul2cssPyTu1AXeXwLvhe0M1VXLgphBkunehr3aOn+wCQAZJBhOy/Ztb01ecNCxb0GKT7kiTZO+v+GZDMd88GpfFiuYtAGVXrP8xjFp2puE3mVFB5JExm6hhphNv16eL4gyQR7qAkZg+7iYGU9VXcOSDotNnTfGiIM6pYEhzKEjKoqy6juLRgk5IBN9VM2HazAFXzmS0VhiO/aUya1HijEIUdkgTQwTYMCvLhTCIGRQ6I+5ex8j70SGOUY4Xuiz+lIeoalbV5YBc3X/cajoNP9lQfQnByr91Q1Dy4813UqK7/N+zyeW6L62agCxEyTvW5OwZyeqNIfTo7O4LnEIwCS2Ys5PZw9CrZDmhu9ne3uuBByu7eVUZNwVcMpsBt/phjxSP/HNNLfOz65ONeEvF2+dUtvBi9+YGplFgKSpGQtLDDdGV35oWRKQu7dy7gE11BPdx7L6d5xupMaDWPGUuU8iJ7oB48TmaSX65Pfdj9KMC0pngKahIkto3VXBS+2cSo6btO2LWgqAYhj7/Nhnx5G9HBWvmGmWD8SWgE+4B0vsPRLpJBLWWUE0gMOM33XrN0Gbd4haV+rNQfRpxxyV4y1a0h/0kJ87RRY5HZfhnjicOBzIoovKVAACA0uxFHqG2Spq0jrO/mljGf4iDG7II50N6nRPQ5WgSc2gGZBACC6luo34SRExjREKya7IDyo35N9v7sQz5FUhglkfo6YM8+Old9lWtf4DI4QnX4N0X7nJI+H9m8IQupS7f6cTsIAY0AAAAHzQZ5ARRUsN/8AAAVl58Sn4A6KO/CAHPepfeMG1hSUHe+8ZTibld2v6iIbmLFxdI1QK3qZOYqj/TPs0CeC9eRTrkHemuz32tOqsi6BsU40AOXtkO4xxFgiFwqhigTOkkXMIR+cqmljwqo6cKNJ0F+FBvqZZGlAlk6ZSEfcfdCnHsTXR2CwlsAP1xWJL/apmVgaafKyrg685fPPFqiMNzFefeXWVAGi51Sj9rqb3WxxlUwzy31hE2Ff8GOkZjrDNRNHRQ9xWQc1EHllgy8XzH6JzURsSx5DlZZ7bOgbticiHBciaKzsCbCo+GCsuXSCI7ub+OmlUIvpO63PcoN9n6eHhvPpImM7HoeLwxelrA4t8vZAcFdD8lrgMSLHJNOvxpuRwPUiruvgG5iXvlDeG7lj4WkPpBbEL0pIOyVDTaZg7MrpkrG8txvz43lK915RKjm+J4wGXsc/VHMseepPXS91NE2qjm8Z8W0L7K3Qy8ztwGfL1nJ9H7uy5lvDI3z1EkgCPcskgRWdNCKzLQ3s2WT3KJVLt+O6TnVij8G8GrsORVusML754l7GIHIRtLu+Korcaz71hWTIgEaBscGULSHupKBheOJYV7UGv5ycJ5WQDaCa/gd47hO0utQyTMI5p/ZKUBsORvSSgJrfuMSRnmywsACXgQAAASMBnn90Qz8AAAZxKB54RxC+h2xDph6zxIx4G4Fto7TC0RSl1y+RAwoP9w+mYQ+oBrSr7bxjai51/8PQNzUA76LlX5EMEgPHDQVjKmr4flH1LPWBu4WYAm0agL6Vf7rdRmNYOrU2XZazBsMzQ6sZc2ioKhqp3l6Ui8Qtnx+DIyO5UCV2tPBUkDYYn/1sPing5oNZo4Wmd5qC80cwbSgjHWHJln+v1XWHHmCb+/OnG7X0I9ptnZQPyZ00IT0dfnAi2TkttWGBZv18G2Inp4v8rOg/5/3vMtPplVrAWCHdpxSaX9tWRJ7dxc6Vqd313mp/cy/DA6GRXqobPg0a3LVfUdl9Kt8bqr9bSys37K0IAM7VQ4XxSbXVtpJLUJLid6YFGyAAQ8AAAAEfAZ5hakM/AAAGg95SyRzg4eDfGGvxZkX83Qk3pWP5M4Zoc4Ci+qo0pzgOM9OLj4aRwdeEfWA9ZgAsy6XmlOSCTloeQii76f7c+1HpuA9+zz8cdBDPKtebNcP5oOgRXpyOAyVtmpkKqjWzcF+yaGan6S62rku2Jf025i8o41/XtUAB2dTl3KyjuYSGvi6v0+lPrefpbiKTC3X7Wl9/AhID22UJsBbRcgUBz4NHMc43h7LMGlAbJxQfQ+aah4Voszx9ywv/QGbZssKNyL0yObJkBHayZ5t2LWstelyrz3YIOwnIVhW5TzuNuo/9lQHK/8l5n33zFfJfR2xBch6lR+DV8agSmcuPQ7/mYLI9UN8Dlm5McGiTwsASPGan2/XAA7sAAAeXQZpmSahBbJlMCHf//qmWAAAHn3qbiJ8zvrKfDz1lKKAEZW/YD1QcqbTGfQdmpHLGT2KzuDt4625Rfq9QH1K7dItKNnmBjK9IVfRRaNvEThKGI83YGqQaYKcdZKtm8a9vJTmypRSWlkMSdOfPBROuCJUWY/OxoIYex0IMBf4t2SCchuCAEDEV++OZhrTlYu/RvJyeRQcLTuLKFrU6yCoulhAMhhxVoLK4ff5+9lcViHkzQVSMZ0HZIPf4jsPJE7GZRyUPQdv9pgJ1MlG8cxipoBD4y2d9BUAfzYOxkHz00eIjg2pAnSDE3xbVKD7Ww4jOyR0j5VU//yNzam6v2mPvQUvdhTsEzzo8siSUra7jNc1igRXQibjZMmzbHUvP83xMGgRlFQQziX4rV8L2GPSZNQA5xTOcZYeCxbmbmZGY8d5SRDHmPudk6Hc4XrFccy2jywFCkl+deMJTwM/5JVFl5hrn/qybJqSGtUiJb7ZtPXv308XNanz09dOxM7xgHjzv4diU5o8x5yHkzLO+TVqNAyqSLPQIkILiSHrSWPxYfQ4ZG/xzolGmaphuHtFB7xWQtHde5mFdvKRlccr1TfrXQK9cbAeiQhhfhePF9cC+cNI++MB36ZmJpDGQaGwXomYWIcGolkUL1NclfAstkaf9BcvZSbjW9I/zg+m3mlUWRS8x3sc/daona3NBz5iisDDYVCmJPf9geUSYecb5dtOsqsNyKvtc3M2I7xsK3v/HyePbMkKAOTfuNxoCfBasVDXqjHgFWQr2ytbu6ix/lD6+QO6YxgOK6gTkcbjyrug2pAMh/r4JEljJpZQjql9Avpc7hTsnGSBiT8w2P/Q/mKF3DqcxWM9PIN3/+twUhZdfn4QfyqozPmd4sxm6OmSIFwtetctfywhBoQEmASYP9UFUciPc6Vwr15GUtRco26Jd3XXpWDmDdCZd+zTxj8wxtgrJwOW+gd0T2v05u7lUdTFtaUEZlFCl4RJJQAs/5e2VSXgOZL9/m11d/xFpTetsKy4Fumf3QnSOoyc5nRdbxnmcdi46F1cHjMbeM33+0H4T6qjg8ER/qhC0ZFWZp2aHtDeWimpY1GQrZ0s11EVYHSlXVmgjEgXg+lW8l3mWSG/1/r5hplJFqb/tLDqxdTaNIgIs/Wzi7mLZlXl9tDJedWFQ1JaxWwqcNC7OvNWLT4YM6U53vO4fh3DZUy5LtYNoduXs9zsHFK7w1A7Z4ovTBw/NqDotUAy2rdCkydCqdTrjac5rsNFvm2AJvY3pqSUl0L0hiy3RVf+hnYEqVZBwJHZHzUf7VD/4XAqRbOLZUpVHsYhnJIgToVTX8yWG+IpmuwERqPU8VetdeG9nQ5skwFwNyaKPxYbwxB4IayyjMQiysh51RP7O+za3DTWC7D1ddrP/FtxHDb9kkuQ2bzL4JNf22k6jYKsEeo+uEmYODqWES6IasMmPrdysx02IsXwoHIFn5FhhR82uGkpcyLAzJYNvt1E+1AvSn/ZGQ1XQJoIkiei7sl+63dALjc+McHiw69Wpg1BYaUWZf0+CegJPHflxUPQEU7/2fhVfpC9fmk3Il5qxNBLupfuGneTjc22NdTiEbAPmamW88O2oQ+DIasd72aM31r6g+f6D6G3HFea/b0Q5MMCWpe8iOZgGo+Z0Gq3tHJpNYMj3G4FVrI+EakyVdlYQ5p/Aq8ij3VktmvV/eEHJ253vNm9xQI1+/3VarkFD9mQ0Pxbmzt9jg//gLLrLKxxgLYezqdJuljBFqH78tmue6VaVsaBTI8629P1Iq9fw+TQ+cMBD3pBloEytTgibRMgXx5Hh7CrWjDpMEpWVFgKDKJA3gkZzcmfl8E9NVjBLNgyxCyDKO0OVWdaWuQIc2AGPbgp2lIIK7rbpYknW+feglrGTHqgdl0Eg/SPsuq+QC7gCQGvC7ewz4zK2EYtwBLNGQb1NwLODtL6AhC2HjibJp/f1ansNDCbYy7pmRFX+rQt8mzsvVyBxO0SIPeWH8TiiIdppSvn0p29LFnM/+SGVeC3JggVhOTYSl/qWsQVK53UnOlrzvXrK/4lm6QYO84tYuFNAssw+o25RZSZVJBX3bjeHxk9/eClG8tCgaJAbtyqgoXzCQdA1Da9aFgA7snGHJzzx5jDDlqMlByTZ5d5IgvQSh0fqaFuG3VLzT4+F25mIxgUtkEhxWqRk6GzX5NPliJt5zweUJ10fSFs2UpkTJXqaFDyjfHrcwNgQs/R79w550m2Ka8+3eZLfB9vdJqfyqvpPPtinzOAOFcqAm7satY6oCzG2bvyYiwMI82sESZVchFEImuvkOKgNjSDOh9Pes+QNQsX58XIUZjFOFE7xCUO357gf84EaDlUuyErjYl09m3CWaqJhZgaECttFpNoUJETmmFoBRnRS+HCmS8u1oODVJsoBJyQccN1DvA+Fqu09DVdz0mdSR85GpFVeVkwK/eMXlsyPxrkQoSGL2sBJ8CM1Aa6l/SHO7nAUuUnijw0i53BTmK6HKWfdQCwkPBjTvt3ANyHG4LZSE299ZfFc/C/Dw5dZ6DW/nhJne0XuAHcsiLRASbunyuJAcyJf07vqaFtsMuAAAAHCQZ6ERRUsN/8AAAWJ53lKB3aa+r0U5O9XEzp8Tw7H8FKu+u1XiQYE+Qntml6C8jJ92fQeKaPQDUmYXoyPve5bySgWMdfTRi5d9+npakpjl8cYa3X9RiDO/OqiQ8oVMpxEJGzkbyqRBqPkIAUx/yNzZqTlg+Zrh72E0qiF8hNySLNI6OyacHCOYStw0/J6Dd5AzQsc7yKgxG9PpMYunyWJrAYICCIwAwfm11HlY8nsQ+FWc7AVSe7E3fSnSfLRTaTJgt2KJgI9PFwYoVgFgbQF1+UFdiynHVwDdxgFzESVkZ/mBW70XzED836/PL61GSLCsPAwTLXZgvMjA3kTcVzr8KaPka5PzRzRRs6tuUeRaVdvSBzHZ05nrN68ottMELgBnJvsrkF3evuYpTHbqP1dZGpxBKEcXsz6cAJmzszssCSi4axHAPzs3t8BAm6/E1ywO4IlCsH+HPeVtADX7GeoXI8J116yZVxxO0n7WDLekGaKP+svkHjt88G/g44aht3uLvAIgwtEvBWrsjQ6zq9TQPM2VOuiPyR9Th96q3MMN6pwYrbpTeo/8VmLk4/dMCPF3neeZIhgW2oG9mP7+vOwAKSBAAABHAGeo3RDPwAABpbBO5AA/Rm33O0vt3RpNchuMYXZ74Nofj3iMIACVSfrc4PAYvj1k1unpQV6Lwspsq3kFK5GsRMHkxp4NvFh3C02Xo5L/YYBqAgwrmqrfF6wI0HE1y+kilc8Oh2UexKXwu3dGO99t4rinbyKNv4Q26odvgEXVqpKFT0lh3xMVFl0OirI7q+pUovXKLpNEeMt7DpU8yk+qmcqde9d3ODNebdec/EcbaDSOATXagT9f54nM1ge2tvVUE4jhXB04/zIw18694DEQdhA8ZwyyAPMUNzlQ3YX30ghKFbAlkcufI0PszFxaWErpw1BY5BayXadi7BtkkWtN3QlXc4uHhmXt8aUxBE+DBD0ZF2UgjhprwwBAAQ9AAABOgGepWpDPwAABqvp/+jpm/DCvDyqOYEKogABOv1TKUQWWUaSs5sD7ZdDI2OCp7Op+zcRJB6R/TMLJgsBgcuGMGFUthyJodut0ceoJa6WZfQA9j6tS+69dBac5ul1IR4Mhy4YuJQHLWO/87I/JBD34L32BXyN1jPPD1PwddHrMR8QvPyV1yN850vaAesnk8392n3WnX5PUa7hWyAQIRus8/qQlxjGHtJ6KKMYrc3UJjm5s+Hf9Dz1/3W6H6AYCtP3rRET+V3im9tYfIW7wGZ52NdePA2RzV5AFqjdp+QeDCswbdoKQ9FxuZs5NmK8Nplr1YRxliOvGUs50sK1QUakFUbqWf4vvzzt+XJoXWsYFDHXEoaLp/cST7kao/7POmOG+jIG04jAtT4+ZsaXTQc+Nll4xkKzQZqAAJuBAAAHXUGaqkmoQWyZTAhv//6nhAAAMkPjhqBkTy+s9mradgFFlMCYOkcV40Z3ufcNjxjFx+7GwCV5cGIm1S4nQbRmwljP3pnJ9NHhFLGCz+qXX4Cd0AqMcoNTQedUwcaXo2d+WRpQ2wxlQ0CkyoBAFjhW4fT7m4XiOz0vK+BnUzZ6Y45Vajwxg17XDLNlZiX7nWtDy4rVzES6akd26v0MiQ3EriHV+XbsBXKS4vHpE9DOR1jhLU6YdQeZB1m73E4F0whfoJOKRG4OHKe0pmw+r19CgKH/YbJqjrNxHxk0Cx9MhGksH+yfei0GQ/pOxnSmPAAP79taXWukeuujpmWlrbelUn+abIZ7TsX9+dihlZob5g54+nQL/j7H8DzVk3aNEzWATOiRkQkOlxF33CqEoFeGHqgBdiTL3JbSmjL4eZaN0nDV+TWGV2sYDtntop5HWKBSvrEXn99mXVjbNHvWaBkm3MPpXALvVcfgpji3QejtPmo3jWbSeK4wqVtScTa9G0K9Yhh7bvWyCIqVuE35i00xWvLvTuHe89gHQ9KYPvuL39NWAnnfa/lfU48FgZsBwvSava9f8nG7a8DYDHlLHbYkN7qC8o8ZftvXETUNVcbo1Dz9z9evtVIuEZEdl1eCbcc0tqnSr33jAh803XL7CwEZP2QLAiFiWtyvEzeqPOLZIj13eKJIij5YD3CSyc0zqy0fxRdVFddH6apGL9iT9+xCBgEOhOZR2YkT84bYSYsZd3LVJb3AVfE++AFQhUqxbuqgWsqqk2zcwuCiS2dMmMSRzTbkrnl3JC1FHhtoNmdHE4Pdq6EWwhM7kKfj7JrciigXbCPvfeeOH6gxlkmP19fve4AojapOHn6AGyfi4O3NHNK+Vq7bnb7lYmE9HHQihxGhLee5Mrki4X93t+5KzeEU6wDTgr4ONJPAH+26q4SHLPDbeloS38oQU0e9jfs4S4A/4nz9G5kjrXsApYuxoUbjtYT3juTQnwrzcSiqtnDPB+71bIe7zUIOvMNRTPmQTNdoJOBA3oklRi7ezbfhJvWlevsgsNduQpSMN+jd/JnhH0XdBXSEWNp13C7zJ31CpuEirLYCGbiz29QitSJro6DRWsgwZGkr8xfFfXgTFiwJy3bKdvMl3XNiRHgBeiz/MIyaFZLtB2TyPAat0AGHzQonAhBuXj8r/MT39tv+q+NFzHUL2DJ96399p+8YGH+SP1SZUWQ/3O3fGJp/ms+vt6wsAGDN+wlay5PgnrtSaY+eV/3h16mFWRilvK0X45Ar692lXrB2z0hFlV5hFGmMLRHzD2Qwt4tdpKInZBqFKu1HBnFZ+CImPmGrJSmUrdDYYpKuZAVqhkHXRcQEFqj70sKjDOc5KGD5c9Eq5U/y73PzNPWkzhtaSCqOmOCZjlCSKNJVYllGBc36upQyBg2tEWVe8n4g9v73YRMrMtmywuayyqtkvFXr8prhlOK1BacEoqloWS/KdeTq///4M+Vc+/oM/m9adIlvFuFMWtR4gz7J0IBKx+yyQtnQNMQZlLzrtFnBP3zX4Q6PMKYoBLMVw9SYzwZvpeTTFnPtsOM1HlVLcTJYkvRnAPl+sS9F57X7mEHq77GR2bj09V5dAOHtH9uB8Ru639WmlDMZM4r5WVaa9AGOPys87mfJPKccRoNddH0V9ZEZk6z39WXR30naXfS14XC5iLhBym/8YSkNGrPjCAJ94CaDwxAMWlROgnWARA3Mk9vmNzdGtIwxzYhsjHbiSle67apkh620SsQZXv36Pm4QGy2Do56Zt5GEI7WM2JwloLXpkCTHLIe3i8baBG3YILyEbmkDW8Yfc8rmXCKcWXGCMgsarQYzjAKc+QWwP51QSbP9jh8XOaMojNjsUDpiMlQWqkn7p+7WfF858afWliC82Z0T0c5I0KX8dPD7mPmXBxlKAqsXkPoBjuPXxKJ/lqX3ewfijQ4F/+WnNZnV10DYKJ7lGtml5q1Kdi0KNmMNCD1F2jIzuANCA4HpkhYmx2pKBQoewFON1gF66GQGhiuCq/ThhTXbjQzpOB2439lm4KRMXGlKiUjfzsynObCf6UFVoGC6D4mO4BK0F2VgIUUgZ8bFfYDlvpHn5aQjMHubs24bskkZn5GDers4lVsk0NIhgxkpG5w0i6L5T2wkua8Zt5Nocp1b17h0NgUNZoK1k5hGgkQVg7w6BfWmQzjHYdGNzOv1R250JtCsRW+f2hLZ97Dw4t1BWMnWEEYst93d7U5StdIUjraSZyVBzbgMY14HaSc+Cs3NGSK1IOtLYxZ5TW7d97R337szhLrIrk/3u2BBEu7Ql0yWISxyRXB9l4yGJZz3m45PRXdJPy/91a782738uKw42YfFSTRYARS93VpZlyKbz8YNYrEaHQPw0fdYy8pgmaPdeclaghhYKYdxtREVVCSuIqu0boynmMH4nTmAaIvXscl5lGrLKLed/CaEW5VPbAswRXXAVo/yetOUGFfhYnVnxW0HEvYK8ux98/vuxRLzz/8sQpB7HKkAAAHYQZ7IRRUsN/8AABHa9ARCQXyB2+Q0sdY8AH9IPjIhP4TMR+Z+t0q/nyjPIVtObhXue6QKacMoNEX75DjWHVYLo/TDQv+fDJyTkmy0ZFhvYmjI5RQdkQ0NwXD1gbl3aX3jfh2bm9C3EYV3GBpHz2ahmug84x5rPVwvspfOinrss336842kDL6+HyCJIElp2yyIYR+vmGW4Hha9Jrtw/vgIMvha8GB6N/M7S0jpo7itwykjnM7IpGnuWRSqmXt1XtO2hMFwGgXWI4xUXqacuGZU2enuI1LTf+P/1dQU05mpmVNde9Kxp8oD2tssvjkawRAnlMzeMh0HGcR7QHVi3qDRpM9PL3TtsPUEbr/IBQj8ZpNOKs5k8/eg7GzEJm6KB463LT4EJrFrFBm3J2E9ePITCFIrC49TZ1NPLY6FjldERUjXd3gwUUnGRtThhfUKDfHH9Y8qqCBRlwqnwZ0YsM/yRXG4zxgRpiGbbcdrTiezb/5KCA9BbDpv8dUEhE7m8FN7Z+FweJRKPst/kup2h1U+MiDQLQ8qZi15RbVo6YJPsPOpN7/xYGYn4zA0IXo9ssj5vhOMsyNgwwt530KCONmk/qBJVLgdXgjmdA+E5elWHpWff0bJUxQBLwAAASIBnud0Qz8AAAa9WdN1tdo+A4Qibna18IASycGwZP7gUFcsw9RjswgGP+g43WGSZnLCyTIgdJNSV3q0Qhi92k0Aj4PGJDKXczOV8Pq6nWr1fLukHIFFu+I9c5BQNrCQ0u6ipT28rTPjoj9Ci9jVIDoxB4jDte8+UQv4t6QUYp90xHToxm5coXFpySI4ulLJebL99fmGsbTjWe2wyKEBcP7HSArI4BdzShiWMiObVzyOjIBWVAQPNGmxaIO0IT/IAxsDCnN/KdYBS7KW4WJbAhnH3IIwikWvwRxErjSs1pOsnEfdiAgZ2ELlGgy/qHJpFoqN64gVN3LquAFiFSdWfbtlumqh/23k7JGCzQDc+LBaYnmadvrrwlzrlRmUX7VkAAA/wAAAARQBnulqQz8AABYoCpadVgOc7ha6dAoCD/YgBLHMaT716qUB51VdQtujn4YAyEIufkCbLcdTCftwGXEn4TbTau8HcLsNRPBeADPPEypkfu785ERbDjd2UOyx4F8cpsWfPimBBzWT4zH6zHeV7NlMZvH4EwPDSFi5SRiQrT2BiVo9/AEYx/BsZrE337KxIDS2G8NAga7infoHx3uSyys0GbpISWpAc+hQmHG7WPFa3Nvsxfcq0gCt3ICk4N8coZgC9pwa9INPZ/82jsb2sQETI97oeW7stlPFUAQFKbhQDFwzmgMWPBHWCjoZkTm7/DftdReMTfXLHbyyaMqZtYeuqIWP614N3y7upMIKY42gHo+nAIAAS8EAAAZYQZrsSahBbJlMFEw3//6nhAAAtWr0NsxEYzYkUuPbUgtDolyUzfDjRjDMN/DJ/rhjlZVgUrMoRuqRnwPUaC39G6oGC5Vtl4uLbQr0iEm2y7NKblf7C3RU/YRm2yuoIRUUMsAEdNCAJlfbdEi4BXkDg999Dqkb461Oqo3chnaghmR3c7AIrWm0P91Qx5m+H5wwe4ZcN4SukB9vtETBqUvzF21kXMkLzXhpeZ0wLJLYDgI378nNAYpL3/wsAZuAFhErLfiZaJWxDU3oKfwcY22bF2EguejHF9VM7Ifx+81WC6nZc+bcXrrgJtrEdvMDzz7jLzmwIIk7OhQ/QvzmX/yu9e2GY8wW5PWa+a9mPOZr2x5dCjwHD7bXiVJwPlYIxX0RGUbvXzK+/ZDUTu1rt0uKoFugU6pJXc5cFVgKK94O1C6yMuUmbP+mqRB+KyTTSMmu8nf8Xi/Pv/k9USRhun6eUdZ7xA6NVEVxZoxh+n5ntGh2IwxYnbuoWZvCiX00J906RbcCdciwP0BZYRL6hUK2CebYZIBJG8c9YBe/TT4R2e0KsdFHvl979OoGmXEfPNdZKtYoA0xxxGLHseAKfceKtfZcN8kk3SwmBurkGX0O5m2xW044CS6nNiTzc8d3/WJyTx4qkfuZZPF30HIRyM+siWpWkz5FAEam9b6SB715I2loPbypcQ2h8bVd3XGrSFHST1mJXUlMf8t51y07ZHOs+NrURXSMn6gk9lXYRwedQFD9KFNFUbQSzN4VSKgu5JbwaWohhwZjlMLN39XYwgqc7dld4kM1NM+z9jblqPzOg4NH7+DWb4YHA831nKNooGE7WX6EWc07HFgz+L8qWHr5nRhdCT2Yh4TJC9oG4kBKp1w4Vuva87EOjpHdhwpRWVmndCqwg7hmXCxrlYVzoDe0/0Z4rIyk8nPywFWcVyXOXsojiKQz356z9ZNEpRmQgnkzJsLztvIFehfkP+UDr0LWH5sPSjhAXnRtVhWXwm0agWz8iC3DdzsQr/XJ2RkpaO6iE6m8PdkBhb+USzn0ZIaH2NX3y2TY6hZRNtmKkFhctxp5U//3Hbha2Lk5m7hBu6cB+GkgAJx9ElwmfEeOkx5Kk46Uo4z8BkEmChXxPdsraFP4czTrm9YjhciZ93O/oGh6sYsS2EUcr7i+dMf9c9+V652FhgEVq2vFPjXjQchOr/F0/+CyCeAw7BMZnhFcYk0tS6hOTcEYC5jObQk3yIEKwtByzypd7sghHDEYDFpqNYzHT1NO5c1S5gqHzufnGLEABRaVjDU4JnChbQc2zzzVyJ3R+6OEjx4fgsX7pp5Ka6w2VYplCptl2ftYLVsKEAWwYHkhW1IzP9d5Cyt+h5Vb+YS6MgR/P8Lk7cv9aSgg2P6ukE3rgNl+b4Alt8QnuqEv4yq9PslTTv65uD+rdrFTIqgpn5qnsbFRMm1ve/kximxBYtr7yesmcpcaKo28y6yxL2XyOLllE+/4yw71PgYygW/QaMSXddLsSCMXiyAhfl8ARMUtyNKHGRq6pghxeOTPATs1Bh7/D3uI3J2R/hQhexpsDukk7X3lCVv3o/kHVE79/Kr7hqpHBX5aiFjds3kUa7tQORgSX6c7OOk6g2swlnSY/pQKDsncHGllzgn0+TtiXdWyGy3/WLS7ybzlbGAtKj2EHp4bjqAgf8n4wAUzu8W5/apfL8swBqjjm+FUvvhCfHgtmLe87upd3tknvYFRFHeNwUJ3q7i7vq5R46tYYIyorsUqcEJ9klH4FO+sy/plXhiAZbXzgvowyDFd99MRw75W9jtEIfX6C5UqSQ80yIb8nMFtuodfrbRZxoSP+AyjCusHLyK173Ow0p/n+BEBl/xUHm0Z9Kn8Myr3diZX897G2MqUTfD7v7F4xPLbNlRXvTGPv2oKfNvVO85wuONjxq6C4qcuHOsrIop74px9BUU+4toIy5I6wLrsPPUAmsHxg4z70XkcCqCVpuBRU9ls/k3UBCowzRj8EGjuFnu9rUl+OqPKeXj6mSMGNCobDc09ZzSmIx6P7T6UJKgPABuDu5V4i3H8fWElzsmJLTo5oFek2wy+NOrQCXMesEa9KBfEesWoCV7SEYqnCDV6KaZnalU/dpcBQHrOPBA7vTHoaofWL7Akv4nnUcTsuk5VNnYDD1u28g7hNwAAAS8BnwtqQz8AABa6Zso7YmB+wTGLAC2YFeN10ZlALGvJo45+7PSEOan/Dx9dJuogQufmApjUJ26a36QqZR2LSNIyraBwx9im1Rl1H2bXEPGKzisLANCdluzD0W90hz10Kb/DLSQYmWRbsOzoEg7gAUzYWYV0VczA9/FSLO25wBjoxqQbbzskp5vFf0IqnmmD3ysOm72hma0EvPLqVxcAUlP5yDk8/x40BgbLaXBsrQulw1wh4y9LHAnarPN169vwpeliQ61KGHQfhjWa4zz34tKYEQwzQo4G5MHcdNDKEBYy5c8POt3BeSsLkJOs02sLm5XQyXZWCXyJKHYktUIhtR0xXVkEd9u143suPTP3ac2wRMm3c9rfSRnHRkIr6b5O9oAoyTw0H9gcXFCEv8wArYAAAAFfQZsPSeEKUmUwId/+qZYAAFt3/CvvagXyP6+LGb6v1EooJwL0+iF5JQtnkd7DGzi0afiihnj5CtCvxrMhhery/nkYWEpOnHkgijUsz8cCSRbf5WwLjPrEdw7FCSm32Hwg6pLbzHpldBbzmF+rHaYzuStN+5zD7hSTn5cO2ratXGjkluIbRoT6+Z3vK9XmSpVasW9IyA3wNYGCYG6BSeMD7EQSjddMPqaDgN+x6MQoJIZ44mtk7Rgi8sMYrTh/oEkzIHIQfhb05q7ZZvjP3dGpMPs7Qxx8AGt84taeiIieFW3yQe4w+BqM8easCNtt51JPPpxRe9d5VdqQQbeAjchy86dAwAIIYBVewlxzWEpM19+9ANB6U3PtZjiW8IQ0Dt5HGleJKiH+auqGbra3rtzI/HxmQMiQwSBt0ajgNFmVZijGJ4ToDwmGpJV4nV+buGcznVT9k3D1DIAnAUeQwAGLAAAAVEGfLUU0TDf/AAASWvQDnIXlyQcDry0gA5wPBMRVsDi/1yB+aXpKj5xud5cmKGSZ3OJS2g73vdZOuFNTz25WbtiyHWGZF00EWSf/NFl2xSBP4pADUwAAAR8Bn05qQz8AABa0/n0b9K4ca686AErZq8brozKAWNeTR3KYUF0TdztpcfXWhtHQg09rCG8yGt2XyevVfwAumOMdwkLjhMjgFXq6xrzLBbMRdjvB9joV/bUG56f6rDd14Hve0u8wndEg4SUsKuBhvhfSYBgvhZybTmG0i5ViyjWG5+v+pnzSxX4jxa1dzwSnYhhKEUpABzV1bLOqsK32HRl1+uvM3H49VIciqZoaSzZ2v/3qodW37aLcQFGrFWXd9+fnaDnjWDmRUrI6k3zr3JPnqwRu8XtVUAC1ba8AZJPgEdSjNUVMpRNamGE7lvj01Nq3iAtSFlyTAyVBAaqnd9FHfNJfVhzOLu6Wg7H+KQzveNw6Rpcz7tvw9BDBTQBHwQAABrJBm1NJqEFomUwId//+qZYAABlE2Wz0z73Izx8wutf9b9j97E9v7gJ+TGbTS9kX1zzkCEBOYaUdNDbwV37HlCRj+/9otROhCQcUBFpUIwbC5svxgG2bWEE4m+GcJKZQcVaMmhjcWoeEzGl2jTE9HL7bf6gxZI6r2sX/a8BZ+IuBVdLc8gEIWj8vva6XpHd8hJEf5CHNBuqGKZvK/P4/Yp9KfTnP8V0TFeFmxVFNUGeHGuzzqgcWY8WNfM13VuZOIBiV67bte6T9SfV7TwiLr2vUzV2/eRVuKYD65azap2YHxvPYRdvj+/FUk5b4Dqwg6xJoqZslLqRNS5bEalJAM6r41Rbun8/ZbjoBt1gsHTJfyGkuuF5qWoU/kY3C9buxmowV5bOjitsXjtwzkV5b6ckCKO0s2u+8IMhUaAkS2/+Yro3sP85kE5VOomHJb89LOpGvKPpf6zPn4dvPEiEs85IL1AnK2vltiidmVfSarpyWL3j2VFPMGqL2bkEcMcPPa03rINQa7/n8wTq53+gF2GHGWbPzhFVtfesvGYwhI3OmEiT3NwAnvG7mnmxjekkFFi0YdbYgshlRQzTOrslT6gg26wphqBKido/dk1GIDt2LBkPYPHO3tOQLNP0budyqQdRArFbNiNaLz72Iq/gQk7dX7fg/YsMBn2AjatJoxbbqDTMpDeJMFCe3sdGX6O6xb4I63qCNkQZsN/q15oii7ggOnrkPcK1SEnLSq41wLywsaR2LVJjtqgUPza64/CTltWPAHJo1a7YFP3FYnOAiXX2eUU7yxXwVOzOEEmxmhdKXzz6RI5wfk1YXQPXqz8I1VGoviwGddYL7zkaCLOUAaHA/wharrFfUh77QP/poiBAO3/U/lHsZ5f9vdfste/yE/SgQmCTHIUUaTexWWVz5y0xSbIyT/WZWgTgsLtu2n4lFdvosk4UYVCXeflg6KmpG8svqiRkQf2yYft4zT23e+f85IjMcHz+/k8yiqIBzijMc3aBQzUy02ajz3NyWDhW0vMOdkee4gXQ5onj/vTCA0fcmE7ntBUen8kXyMKyyVpEFNQ2pKUvTRhWTPbs+5LYLiI87c0TzQDKqy7c3QdpC7jEb7koDnX2Qs2IrSfKd5lOzd00gkHGVng9b5AusWMnGWELZ0zthQgeOSyztG5pChpd4lIc3mSohRjurx/+4d/++zJYFiHsz5Sg4O82LSZwru0u1/CTm5zDBHMEZbUsW5y0sxhbweYhN1kdJDoYXUH5RE/hMnT/E1CGzOGH4EpnQLBAH1GllScMEObK40F1sVHOW5PFE5vUAQxhi5QwqncEY3uVlM8zWU38dSkywDCjCjCbHKyCkAxCR5qmaHQumaOqVfYeDIukXoZXb4Txyp5j0Thbm74JRbjJmZl/Kirhi4Y+ozviSgwscM3Y6Nc4C8WJ5rv0CDkny3Jo1Sy7rV4FoZsbO6WMn7cgsLzUMh1MJYsaPkr12w9Rdpj2MStwsPS2ukQMvs0uHi+8BCB893c1ZPnnzw9lxDOvNhjDCigCKihldhCzLrS9kSS8JEEFiJNmYS7jU5fsLaomzJEIC6hH+5AGXfMX1jfzkzTUoWVx8tD9y/EIKBAGv6CrfWuPFMCPkbM7tIQTw0V4wKCOXAzWkgymAv6m12xJHewudWs6adBCfB/T8T0g1uO7Gxmk6i79qx+aO7BLLSp+Ik9wzBfdqT7oOHRX4JclojNdU27F+jcpBzGNNrlZmJE1yPOrSF+D4M331rArw5nDCbcNOdFcOjfGkJQy7u/CrTRURiW7d+9/rpB6zKeYiVnZATxJPB0YOynBAQj/KmwkQ0gcT1466DwKJttdXEiY2nAjG3pwwRHdS5RMTzMhBqvJao9waw5RyIxIDITTPc0SfUipc5O+z5hJ2miGmKsOmVxPqqNLO60O8fEtcloPo0cD7kOU0ZqGg2YODd1B4Qimmm3giAYTuWIkYQGFspdREIOiuiHJ9KhF3FlHJdufjGY39imltHZcARTFW6CUZ+SnJKMUnTZT2SOHs9KBGFr3z4rQ2vAvyFYtJn/9KQFr5krz1ushmtJSC/iUU75r3tpQYrHm881QNitu43O7LG1cZc/BW8XrJe5LCTCS50hS8BHUzEk1e9qsVr9WtKLJQEGmYgmPL/G7aYw8yEKQLt73QJsNKElkQ8OKFe3hlurUIWLsHoPC5Eaf5LpWRkqYwru4q9UMQa/TTpzaN5xt41ci0a9k3qfALCnHvQALmcWCUZpcrmBykRarVp0PHXX5H2Gduu+u98xeI0rzgAAAB7EGfcUURLDf/AAAR2MlNDMdlgrhD/4Yj921dM38AAtLEJmeGhxylrHJJRP5cL1CwR0dD6gy1csGFd9JUS0oLl77kSnoLXRkf8ZWA/kPK5jynsS5LQz9kl0K+X56veP1qXMFueiLyUcpCMm3Avvrr6hHolE9J5swqIdZaF0ecVxSB3xJHsDQGm14/C/9/orm2gaV+dAIyWlNSMxw65lmYQVHGIrJD1GG66q1hBOIhBfUYWDg9ddSOYG71GkeFA327DyVHxlOqsqXeUrtEpTx4Y/6T3MBg5pvE0pGyiTPkI1V4j7rnuFAL7SXcIf/4y0JxGwc/0zZ47oDIzPq/d9kZYNnbDQdXvqWUdByiHhqbxe2w9gavzHqTTAvdnnw4qTEZe4QeDol6svy5XdwD8hFJeDscxdrl+EavNBhgFZMjNuDDKQpKpvhJo0UYZdmo7MpbbuMmigbpsL8Q84U87beSFFaip5pTwJpC3Dk+b/trVt/u4FPjBb15NE5P+qTbk9bm6SwnRuf6yhiDL7NWDLKZs3rzTRgBk+lRRZuLSdRGWbkqZU6RwbC5ApoyzWua4GD4AkarOPJDqkZTio1lgvBi9oVnw++o5xV3qSIeo1PIHn6JlRP1P847IwwzRFaqvIKHgbRhfGvig7liLYBHwAAAAS0Bn5B0Qz8AABYmgpVHvfetpdfchzli0FVi58LoALAHzrODZQBYn/afzU4AbxGNXScIP2AsRwWtO4wLIQ7sRw3IQGxuDlp/sv+Q773uf08FdOAv2UJMbTRCEnppG6hyp45ovDeSYiV+/NSw6kzF+o/EM4qbx1hzfWiiXMFH9J+Nwp6dMBmazYJp09MOuhNIlSMxYSxA5Ed3qTjHNAWz2N31/nUO4nHSivokDa9OmNOAfsy2D5jSWLXQLPduE69zWD+5aSC+iQI5dG6fLRtaLa1H/AQdpGsAmdoEAH3obu745bSdrCoitagAg1Z8Y4mCFpqWHDZRU5EHG8EHvdnFvTgb2lDfbjMmoAiiLm9vVdA27IrvXi1gntWrjgWXQkfI2pbqQLnG12GP17tUAGPBAAABJQGfkmpDPwAABrlrvma6/iJ6BB9kn3ydZYIASycGwZP7gUFcsxH3T477Ue5ZLlD2IbtLYoFB6ZhkIrnJIA/Pci2xQ+S1j05mLtV4taFxYsQa8EC3EYyG3eclGtLYdarvR85XONJTJmwe3pcXkA48S/zfl7aWoJtWr/YhRshq45BsVfw7luRKFxZv/aHEW4VyLM8ZU6lxoRhSzXjyZfcF11wCdvCj5jNffKpZp69O9RQ+cqukIBKkrvUGwnEgEOuosrEV6KebVLnMPESCqs2xx0SB6rDSKDzfUpw00GmcLfzuY6vIIZGy4y4dW/FQDKXNCnwsjRV36geNVROLV0q0X3WIgAwUZKAnIB86C7mJZ5ARH01J8XkuSqYXjE9zL5dXrAKQACrgAAAHLUGbl0moQWyZTAh3//6plgAAB6MRUcvzMBSueBJsEp/s15MJng78F5aD75InZQPQ6ACwQIQP0LwBhzQlLgF5viWMBLFdq2q9HnEbsudfJFc/8N6h9U3LZxAVg/Umo2ukxcElXX3Vy84ELiCBcO4ixavSzud0WMW6HCvHGSBfZAm4QRb8fn4bu21gZuRRhFU35vPXmx9NHxwsYBgsic0Zuy+WVfMF65GH42vRuufJ1o/CFrBLouoCRMtxL5Lx0CdIhgs5IVzgID0IyPUuOJFLXh2ExRehsFPaCKnBguxxYK1QG5HyA0jHEN/zU2r0c43X1QmlkktJOnZACd8MYeGJ9Ixhw5nOmDttFG31KDzPhq9emeTv13A97zSWUpO2wlt9gVtQhWdku3YmIkeHvs66Z6RIYijerXAs4OjrtXYzKNzEhnsimxYIOvLm3M0G8qyrYw5b/yXJ/E6+UQyo4/indU1sp0FBb5wWm3wZ/kGxjng2+Xe6v7PQXNOKQBM6Nk79ygMjwtfdquJPDe1ycFCa6Zn0dK63xvAxCm5yUja/rDfk0ZuDMD2rXKaQFj/C42JBbAQwi/CIqil+YVdxmjJB+UPEg3t4sZoBoXN8rHg4cAsA1PZ7gTxiXrzJo5zxquCD8R9hv9ZznZm3pXoWcM2MKvX33TlCiLObBpXAYjUSTmcF471ZLFuox3WJfMzmuNc3vLzUHXvWTUyECxsMEbbKhMAxowIJAto238uI7NRZ9z8DlsDCs7Wfo8S2VY8dxOLTX6QEdmlTk/W2Q9ZzkFfM1wCxWgfhPMd9RiGQrid3q3Jqr4utAxaR1cD87FkQM3U3YgtAq8dq/8XJitlfYjgPYGA29qKIk2JG5fYusG7fVOXO7JgKGOwhhYr3R5Goo12smdq6Yau5qHcLP6YuwLI54dYI7Bh4hguiho+1Z+Czj5JQBjjPJxpBgizdHNYZV13LEih5nqis+koCqcDX1cZNQOQulTwZwO9BUesquZyTXJJY8UeQmHGmAUaONiIEFGOVg4625vigbGnZNXn9ja5etzqlPD5MKeEsTb9pkrjo7A3fUceR9RMKdqcmOHnF1qDGgE8kgD7jQYNrvq233DL6Ph3jWEArPiM/ay5xkWSlaVIem9xHLKG4F7TIxB45mrRXeEVcaU7FBe3j533ovYHhnTdhcjoRs2QqQmDXyHss7YKwAw2dLCCOSBeYZ/6WW/5r+StrOsjATOizaOpUoan1fD6c+kGF4LB3uCtOtoSGA6L4eTMmBXsOB16tnnDIu2eq95aFIv/MQn+ZR/0cSQUdhlhmuCAp1hNqTvlagqy4G0HUqZDeRgeOMg7oVhAskXS9Up6gu6zdjJD0zT7H7/wT/TN6UTqVROnvUtvLmZSruVF2bp3KzI39s8i2wwK3HwRl1gCnhWHFcrqqKaemBOy9iGVRU6YSZRZhpAnq2N+kvKFGoYGXEqnGsE/Y1YLjqkXbyF+kkO/ou2J/WipQXuXMLvVW+XC0bYHSj2/W6yd5CJy+qdJocZk3s40EtX8/XGrpGSRNuYv7itYA3x+LsC5ezmlkFM/kcfTZNiJxm/EHP9aHWLMnRto2ozz2UB+/FPNxd8JhoWnXOP9llbEU3JvbDfP6ECY0quHtFHYYE18qD7HN4HwkVTbmcctnTo/5J1mwZlBKNw3sC/QV+VQ7/E1BSmheqXFTLDPb4YVKeqRCwhLDPCMrbtwl7Yu0h4o1uwRLMxYZMP5lzsAlvRaet/io+T8LN9NgVELaY5G7zimnWbWZq+VPr3bT59TEJJ01bEH7en+EYOjOUxOhp7CpRFdNkH/V/2BdH4GIhMS2uS5Z5Ea6tLTF4FHzs5bAeXVJGlcnOtjvPFM7m2I/6aGHGpyjA1GFbFGG3XGeoYgoebhldA4NmAPJn47Xxlt0Dn89Dm3Mr1kP0hF3HzHu9vqO80PJh4TG5cCrqzvNLBYesF/kkNW0Qy9mcCbXJ/9Hs+/BrqlXyEuX2zTJSFMkXOslXmu/Jq08iOcKT0GUI+1HoDYqOcDFj2C6jO4Lt1oyzjelcTutMF4Vc8z3036zD5OXsFS+F+9ujFUIEDihzXuRbwEkAV+hhmRc5PFtsv4CLHPSSmSLZve8b8NBaDAeWTHnWjDaiQD1gziCZBX+rS+gSOJL+oG3iSwsGKgnQyvb4vQ14z8dpoi7Q/0o20Vdb1NcpvwJaL7deKi0E/UoU66zTHLCnnbM1iriR/UUToZj6JIN5pO4wQsuB51SwDM96N1ygCMVoBg9H0gyCBk05hokxEo2juRG3aDUV1bIoLhieo1WT8adC890achHoMjUVleJH/pIi0FSRgJ7pzdopaMAkmfH2UYHHqLefnL0r9AYjwAdDlfHalGUCJYRB2z+ShNa1gUmNwjES52NgPL99bnzvtGZk6IML9X8h+VYnXsSCmUUXv12cl+pDA5yW4rQQBgyNUAAAAHRQZ+1RRUsN/8AAAWJOaSDYdtiMcAk64PT3VKVVoRZwCo93+q+NG/gjkpFdRYmmDJvqNPubz7/DAPKnf/X5tbcOzvI9BzPmgd9bgQGPZIgQbnHioHNGhymisjxdEW4VsBfX3ideN3nE9Qgm0otoeZmKPJDILSxoPnw9MXViRxzvNjOEpNkNz9Oora88qwvCsTGorAMzxCpAXUpOXOghkOvBct18H4hkBAg1BUksYTGW+nSvxi7ocyFK0pXonNnvLSneyy8lqLb40anWHE7mk/6Sfk3tKhiqKEgFy6qpesO1UpDxqcbUB42jTLwttlaCjdNdV0AAcJT05PxiVx03m4b6C18WocmEWB+ctxbwsJ6zjp6GVrCyKUU4NqTz7/5QvuS8+p7knyK7IRgPuKJ2EWDEpeBDH1B3J/GeXSmMFjVKHP4HKAfniLoSo68OYfLbQjQY1y5ZJkdG3O80VXKBTARyOtg6BxWoDxGwJn9Kz3HDtnpeVfAyfZqX9hZ7KamsTv155Lck+XFObiiROXfPXfwmn/jZSkvaYU85hNlG7+WGyKPtxnzx0pFBAUyWbjg3P1sghO0IXo0Pz8AWX2wR+vYCClWEKZHAbfkRuiky0/cAAh5AAABIAGf1HRDPwAABqsi4W42K2DRKhX6l1s3EdlkAH8zpmAVT8+oKMMczy4RNX5idxdhnTKd/xFSo6GvdgNBQxlv87MFoDH5hWR0xgQJwhXFUCIei9F2WAKW49p/0rHXyapjRKBO7lnbPzAvaI4gjVdmobB0u8nxSkIRDMi2PrTFpVV30w7T134WYIPGSN/GFtq3OQFfI3uXkoGI+oOtjOHSt2TZKMx70+gW22x0H3S3tMTOqY+VuxiBGuj++poL5vNSjaS2Bmd36VQaUqmddLdEdMKMVw/TRKZ0OltfUKaLNzRQiHw1GFr/zA8zy2gxP9IuZnBy+2TC+kH3HCtGQt36GpyEF7oCnpnlhLweoCEwh7EsKOJTwHkF9ZMINP2Wy0QBiwAAATUBn9ZqQz8AAAaD4NnqZmruumgmIK4pNTiMWX5ziN56Pt2epPk0wAn91W1g9H2IqFpxi9yhz99iNDpDPq1Jnm4q/ZUsMZbQ3/GWDw16bHtsxq8pmkvZoSrC2PxfIZ9P7rcYdF++UXnkdSc8wApQV9tBn4gRncdmW/PygfTw7gF1StZ3UliiR/LcgqHwQKW0WcMX1g2vTNhHG+10uzHaJoHW1Fs2kCfOkYcJDO0vPUfJ/WLrBvFlGjfEcUFCnMMd3KcVtPJA4eX8usOH7Z13BPfAkFkA9EjiwoEqHSsurXLH4RPQ6xcffwfE4aoRxtAe5h9vSGa77V3yGof6VoF8xshR2zWKDcE9FmKNEgN87opTm9w469k49AAgaQsVV2WA/XBBvcsYwyoDUp4JJhoAPg0dwxAAh4EAAAcqQZvbSahBbJlMCCH//qpVAAADAfL3LX/QJFEXvonf8QdOfsyOlhEQeCQwtJkwT2Zk3XMjwiAA/1yDVNgc5XLGzpJKc4OcVh/8Se8vMWbhU+wGN6+72y+wY0Vr2VxCJQtRCJf+j4IYDSN19k0/P+dpGCUvDqUqVB76pIL6V6RwWY71FHNHCa5sDkME1zak/FNYtMI+mFeTrKMKRBsBDCiHEYLJOSAA8vTaTmoPUTqoiw5Oh/8fstPfPXJufe/V2y3wREU25HM136PKntS/+wX5coo0kulzyt4vXjRAmo9OQyN4mgZJOzTa1gGKipvwN6vhsYLz3MdKalD6yn2DN01AfmBZT6LfN2LgIVFcO3yq0biMheyYkb+Zh/BqnNdbE4YSx0WGTk4tnhBYcKMPzrTi8geBbqytiwyizu5q30hxm+TGEKrurc1tV32VoTw2ug84MBIQE5DXgHdKSZu8XBwmJu7lqJULyQcfX1I+mxYgPKfQ+AKY86Ie2uBOy0ncdlja3qJPKTCt6BW09sR7KT7qdlOf2AZeA6/XecFSc5JchfjNGNIUoktFZlihDS/Y1iJQHj+fm/1DyDfSjzHLkr/d0rEjk2xB5BWyjzNCLYSjt1d04G669iiBWM7W5tiLA6+0w1suyXESIO4aZLte1xBpgxjGxRZB34qse6noCX1nHKRkUCdSFUULyDM4kWyqJv9Lh76fyyS9QSGwaI8mQO+IC6hdCVwYwIBC0oH3FGr9ERIlchnpbQiNxJuJQl52j1/lsA5AqmyiP0CYTHJ0k460MhdvQqD4q/RGHM98z6T37AmqxxNH3fWoXmDv6xv4Z2sEFWWrdT1eOHXKBoXwSpX72gdUb/Gfc7CIgC9TN/l4lTKBcx8ThyvMZvBwbW79Hto9artIaCYreaeUhHOcopAiKm4HbIOLM3YwqUtRObjwMqKsM0YU/ZzykmNNodyPpA5cbhOsKknQ5CiPaUs7JYHtzqFhqxLivDqRp6v8b/23KL47Eay+odoVAnIlkIbmv58EP4uQBSMnHwZs/m/mGp8gwpaSL5McNWCIlD3aB2NvCQ4npoMjqiolZA1SkbELx7WKVPqchXX6Ctm0Pe6oQ4hvA+Lomvk+ntN3yVwHt4KDQujPXZZr3bl8dWlX9ENelIHNy4YDOmsJh/l3EL57Ltzkfaor1dURE2r3Fe8yPkFxtH+mu7YYFmUsUCpSCMyzKqq4EfPPUw1eaZccqpWS2Ur+ElGSNf9BlXRk+/ZaNmPEHSuGvpke7zPn/Ku3pJz6HBHlUWqFVIabzNjfmANTVaUGs94+S8jWS+bstRoUc9S5RwKslUOQXv8N9ya9iShp7gtEJoAAquWqoJX7G22HTPvMgjDukOvVzdCMkDwflZL/IW5OwyV0xXE+uzUgSWPzr1glvDQPtvFaZYvynDNcsIjP5PWSm8wJ2Erxnh1/S+aw6QAbnkQTd2BL5wQha7bhaLLpQyszQ4ShHxm6VYCMepDkx/Of21iE2SJTzx3Ewl55Qch0HziLm7ljLzs2D73nr3wAptyyccF5hj5dIT5TJu7/NyKaVDG/eRW/T7HWfRhl1JeN5gCQz7SZPPpt12BneoEBdVmiZDavlxdq0QgURbap2iNLTEjoGZ5IaMT6W6kFE0XlP9MMXGOAkSknamaPOxok7G+ZRal9Q2BO4vcGBs00PoFjvvg6zZFSAX4E4modfgReBFaXYtr3D3wgwA5pkKnchpYjAucw/mV0NPAl59UrA61vmewk2LA1YIFPNY5w+HVQOqrAJFxEPtv98EUKCMxgiQwHrv73KDsMr327Rc+5qER1ZFnt1vWN5gTSMi7ecqS89SHUKvtM/QNrDeKZCmxvuC02aB03QOjyy3AONQQZXtNdhgP02vMwAvkZQ1x97ZAhvvi/CEiOuNH6Ccc+Lan6cEHUbl25/AmfE9rEO1X0EYtZyCLVsA/OqNkq0pW95XlFzl4ZeIupEHsChs1q+zC+UT1rhjQQ1bTBO09pgx1zVUq1m70i98Why0Msg64jXqShl0CGwE8Uqe2dPfHaaRz/KaXa9+yzVInd0Wz49cPqZ0o0QJsruxsmmIr0omCEejZD4Bjha/pXhI7b8SBE/z2Lr+okGcJN4WYZir2/tkapDwtMbhv5Q0dieuQTn8NZ4aJX7Tj2x6pWuxxbLDvrSSEeBzKWCaTcRyhocilssDpyXNN4lcIjcDjNDpoJNR2ufeLPffCyOILeQfhOuF34t0yQmfw7yN3KcHEbPx7bERe1l1FWtKblpf7i7kgAtam2wINLUiXeuayG0DJC4vp9elDIGTlN4j7uz5RQTSNZwl29NZrl2XHiviRwPt+FZh5RXbDPEHqrMhWvayD1VzmzFy1yUCanQiCNmyS0D/87fPRpbVpVFbNP8KMof8gPH4S7uqD3fDX5DQJwb4w2Bdz+65BMmBDlJkKj7/rgRwAAAhZBn/lFFSw3/wAABWU6HPyA1SAImOBMiv4RxHYqNRLzam3khVkGmnMnLR90oFM0I2642m5of1JTYLqCmT1aAGggx+nWDqsbW3FTeR9MCP8YiADnd2NGqcHoZzf4cF2FibOgnvgw32c8dVl/kTd1tuaE0Al2aoRDZFcy3Wp4hhKF+FFXgpkrKq1od/8iv2VwDT2FzB1xr2MfglPkJ5DEv+UYK3N1tf+EcuwUmmMhrvNZVRttrq+AkHvdrJI6TKK75dbbCIH1Vf/1Ld13LiFWBJn5PiTUo4vVj0SISYqs3GYoMXVD2NOt/URpI8pmcnepgH3yYc4+4HdxUQlRWGs9XPMO1lmJhjlYF/zIcoxNlzkESv3q0E+fuSL9ds/SJMOJZpYeU/lbNYyXFVlXqm7exPYNfrRvdslnGJ3Zvg7Nl42j891ILd6fBA46CbCQe67oIHjf6+8EMNA86Is0UpqzXva+qDwwwLJlCCP4RYGVyV3EprpLumoRLa417hC6Hm6LQxA1Gasc0Z7LuNsyTBOG7FjKWIUqsBmKrOJX2rGRqiAY/aKLyH4bpB8vDhjU0+qf/rBRK9euUqPUe0MaDJlhPqguFZZnoIeBKeWB4vIv+roMLHWGlksRc/ayl8+vtdCiCWo5A1mnPHG/VoA6Bs8nREPXbQiNq01mAUBNxEbjJxYgqtIDi9gPwDG2R7UlI19YMBgBluoAA7oAAAEmAZ4YdEM/AAAGlE824ZuG7l7QASzw6i1jrrOJwuYsCL86gsK+2A9NdrT193AFrmMqp2H2hF+tTCcOn/V+ocs1roU9Yznmpb/pZ3ApiZBcChd7bArh5Syj9AW7PJK3JX1uQf7LGwVPe8jcp+vahR9V80CPsSXH+y+eU6Ls9+CkvXhuRdb2SuDz/ZQ5C/BXLMZpeLCi7KAghaU24G0piPVzdNAtJC0WIO15jh7tNlK4OVWy6zvug4dcmx943U7EY4K0yaO77Mvdu4Ig4hU43FI2agkxZBnr3YfgTPvH/5Ftz55Di+p5LkE7A2w7AW0T1MW4zDW/hwF6H147bbXkcb31Iv6AkYF1O2a+EfQ6DMAdllYwNg/Lo24dq41zC2Fz45Rzgoi3AAGjAAABLwGeGmpDPwAABm/gQ05o45o0Yza72vz3HKgVlqADN5h73YFSNZ86dc/+CvLQy9aPCgSjH2JjL8RJMv7yOH0/A0BZsd0VtbAvQ11/65T7I6B8cVvTjOnZ2o0UIj4ANRbC/ux6ayGFs4r/ru6c54z9jDZnlpYOYVxdr/26wbDl4lVKLZP7vndM5avlGd/fED4u8XOMO6xgVL69pCuT0Da81Q+iXrHp5UWRUpTXAJ79NYOmZgofzBySZcdNJUV7JnWvEMX2TQLL1YmpZQWpdy2Ic+Pk2PuyDdDQxm4rFm1pgbHW4CdCXBqUllWpvT1PRkFVq9fa56Y71VQ7wJ8TZsETn6gA4bHgQGR1IpYcPO/SIlt5QL6xExj98coO8sL3awInzMAy0ow7yYlD8lbRwADPgAAABrRBmh9JqEFsmUwIIf/+qlUAAAMBip+qBELKYyQ2DmGowQYb2JPlIw2I1R+pG+WozG6AW08Fl1mK3jsYsCIxTfsvHe/1k26wV5yOJ6xXM73Bq3OZOJGbLKt94EjCrwEbhzPAHjxHNrJeTarXya1VSH5a8Jzuzoj7ohD8UBu+0j/JRrRkTtJbe5FkNuwks8oY7xfWuxxV3tjZe1CueLQjLlSaKG45//hFnsQ4+f17CBrjG+JEqY/TMxf6dWRcnkmX6birRC2z9JZ98D6/BF4h9PxmHdUnQ4QTAagTQAoCfr9hfj2Z4aKvRbmht5+9GQbvAv1JuiVNDnBHtn/dVLGOCmaL2YhlCpQQ18sEu+3+SKkuPvRDisbjfiIStAza3JSchzca+Rla8xjpaNIKB73udqslvajcmi1zKeyRizi3s+ZwCHxAOtDbXGIcHpUJ6MLi/I+gNxHhaBlbm1wNnrggq7bduy8WeKAx7SCSAlqSKhYAPBsIcaHolxzN2SrVCYY8p7uuq/sF1vwZwDDRU9DRv0X4PSpn4OdN+yEWYtMTT1KgcVMf/tv75KdWDDIUdI4cN79XqCEwJ38Xgp8LZRH0zKfS1zCRpZHPv4jeNUnQI3F8DUd7y4Mz69FS1tx+s5xP5mMavnImkMIVtRr9RS9VxsuK++bkz7ls+9I5y6WSSBAePjX7dJm21l8zcFWQj2L8yFHcAuVEhPzZocuMIoYsqO739svqqUR5iHrPdy/WiNNXxV8Ys/YDJUiNHsD/BvUFgQFt6PztDTjTx0rssLOTaj//SHvbOn2S/9uZ0P8OJMVA+5xtzH6xZDJD+mJ8DkhFAJ+SNqtaBpSOuIlYb2GsKaS88gURSA55GFz70SH+B4EEbS6XsfNFMf04Ik5Rd4vnEJKG9xWg2PHHtHZxYkhmb8iyUZve5hzHf+5BDDXdWGjFYeQm1j1xZ2u7mMP/YFG5KMwrPytbzRrpbT0dYxnUMt/dAk2RNX6/dh965ZTC8DUZ43pI81q2a4p8QF1aouJ8kXjPUKiuFuicHiFq09XRaRDpUuiaq9JUZEdM3a7F4Dy9BTJOi0uXuB8YDofcQgM6aq9I7mz2v+JZeG//O2YSRR0jlCz9MjM0XV5pXmWBY2qrJFGRcUPwazsbHCcb+9lQVyGQAL24dT7aixujA9dOc8cpDkREs0ZQKhW1htA/OS+3rkKwDbz1BpOCRupdclXlBoEN2uUB8i+n9zl2tpez+iWzo8RSeb32zFw/vPOMRRHOm/INq+hr65v1yxBiONEm30SlR6phhUJUM8M5qlx2UR9Ubfne+4gBvRSYcoZvlXo5ZZnHn8vo2c4IVUuNBH8mGjr4cdfvjLeG7pGLa7VIRnlEx/GpeTVLI1S1Ss4R0AsJ13523IvGvifoXYH3TatCdmh3KCrYWo20YCTMZ8i280i3qXpMZEqsNPA8cKb7etWRGmcw6ZIS4DZHEl0j1ZKTxOQntOlqkork+yqMtZceaLyPzonj8y4Z7xeLIGss8wP8wK3E0mY18sUPhH0rDCErDgRuS2L/kKGJvztGUQPwWulJvFXHYyRq+5+jO6eJP59vM4pTaFbFUYyy4juK14kox+YcvVZbPlo6iAV6RVB1NcFmSnwbdq+oMoUU+7qeXeo8DvHqpWy2lKvgiql5NWfoY9malP3167aoeFtz2PPN4t1m1bWAPgQN17Kk/XVnA0QzOWC3wo8TfReUUkyTF1DTKQ9c1rea0lweCqmSkj9haRrX0WmDrKd8i0kOVi/UeFtOW9nhANbalMBdGkic0jaDB2JTRCnHCQ+ZC2tQaQNeE57ZIQBfm++RMzkvTwXNNpl+LPFjMoi9+7mAZ/1M/VZMCXOugnAt6GcxRgXoj4psTtURnt/T7hDAZS7x0HirfyYfhD6OIrIE6sXXjpxuacNck2KbSRfKvbwbnU5L+LBuEmqVrFP8BDXBHEHaBgLRQGkI2KSYGOnEdu0RESvorYubrtUkCwKZZYKu3y+x4nfXHEzmjkAXGL61B5I3i1GIEvzJ/VJcAPOyGWccqJ/pEsUg3ZJPmlFHDQ+ZJ9SaZ5MX0LNIgZDH79SpTP19/rSi8+8qYH65C+Yhesnpqp9fbu/e2t8tHCKxNhDjaEV88Fp7LgLyX/m4n+2kTzwEkLMhkUtJFXg/rudMDqs9gtwTf9jwcmdkL/XuRYIgk8m+Xfv93+hpyrZTSHITS2G/dGcZV4uFWsfFtHOqx/91wRhsrh1LGekLTYilveteLfeqQjRcaf1/dF+VA7S5IipKll9IZ4XnCFd3QyEAAAH/QZ49RRUsN/8AAAMBmyb5osqcANiTRFUhwEDCVljmb4wy2JNk9K6qAZ9hEmFThF7qbkEawZQaBNzNElfpAOnCbGMCnQ0oxCYU5pvp3XAMo3vDL51EQk5vrzmewyq7pU8b7CDjPIVkAfyx3OCnVwbYXGi5tiRaNWbTL5Ukf619miwFn3C7PckJXuZ8UniuRU6HOr6KA7nSjsoNByo6XzBqfCOBUYsnXW+tkBxwwlG9zaigpCOTsmn/RRvb6OPSr683dWwhp3NKIsQbJIvVowRy42A/L8OHDzAxGL5By3iUg0VudMeoens8R9Htz9jUnmLjWX9MJFm+bRWn5sM8yApplSP0E6JOEO7h09tW18JbhF7OLCyfFjfHq8CmHVrNt7eHZfFWPd+QLo4iAkTipRWQYLxy93197NQJC8P5ffYxRak+IzucRO0jGCzOEF2LDSyp7XvOhALutiObai1ps0c8uTL23xhUvEkz0hHhgsH/7Oc2+Am+VfCYEg3OpNIqxxGzk1IHpFcYL6BT1uZxM7BvEME8xaLEYCGJ0idQB6ExfH4c/3WmYud9IiYPJ/0DyZfcCBLGyGlOpggl36d5PxpXnyiCiOum/foaXzzNmlFXlD4DkeslgsTSKgpzpxQNXf0ezGmSZ4qNyUzr0v5MruiQ6M2k8ug189XEhx5kwABFwQAAARMBnlx0Qz8AAAMB8IhpXbQzkALPCEnytWq++WA5azObK1U1GhCtqm1ULfkELf0sKhoH8B2WMSUz+5bQfmFk0BfAkgjlEhhj4SwMMTX+RULTSszOgPWIY8EYx+Oh4fJqvf5SkDUkzuSNSgOc4KXNNTVZPUTU/Wr1njoxnd5CxFl0VHpklny6BWhzXRPRsN/7XAR/Olui9CHBN52/0mFkao1bQp7HquJv9hmSBAopvMVA4bQT5QcKp/+li4MeaMRcDawoJU/MCBhqd4BGB+G0PVvYxXTwV88TTJwEh/LzvzHGiaqrWcG3s7KWeiksH/VCuX8GZAmHJI4tNs+1dAM/LHHIYpTpafkevXLuP80eu8j8LcAB7QAAATcBnl5qQz8AAAMB794UcC7FXLRDfqhVE31v4oABOnXAYlBufAREN7rwmZ7Hj9n+i1sxnp47cEjdxCvHJ6YLClT9wc1tLPfu+gkFgaRpnjK3I49yplbAsy/ERVWdrxQLwjeM3xUF+1BHM+jcD2NdKNcZLqGx5KmqVfwe0pCnlwc+cPDkCsBtAMPWivjPWwaO3zX0/6KfAsFJcOhiEnA0LtMh0vNvOm1r/0IkLXrwdlly2MVZgV5XVba8iB6uer2CxMiK5kfjUaWrdqLejOgicOkJ2gM+iwQoElSz4UCZnjJs+GIq2QgifQ0jnFr92u3yVMUWGvEs+8kSNuLwsX7BYYuvtX8L9Wu9pSqUSIAOPUXZRRZE47pjtqQP/TIOpeWxK8J5IGACBb3T0gK4HH9QzhT/ujiJEAAW0AAABnFBmkNJqEFsmUwIIf/+qlUAAAMB0m8GK/+KHysv66yTyqc6faJ5tv4m+WlPjKc3gWQmmpKZozle6IsgAQdN7rmrp/Pe7y7ME/bldG1UzwOYUk4XN5b5b5fvUMifQPKLSHfpWyL0MoIWhKYGMrGfw/t2ksGhlsspnaAvF6fQaauf0TNLAtmyRzI7ID4oIEHhXAD/rh8I7h7E4Wwf3Eq5g/FlbRS1d7NkIVIChOrGVcCVRCuuFzz5jKTpZDtDIWFOV9tdnuLqktbOMCLHanFhBZ38PxVzKzCYw+udOuuyTUyfEFZBkcvItCrEKIvKKHfK4bX5Mv9Vg8tgHSf4wJexZdPrSl1z/t0lcMWedftjcojal9QMgBTHgFIXwMG/SYBxKHnIFOW2sg/mBOV7KzYnZga3diHqFiR+5xtD54W+2Nhsc15L4Db6mqn7d0by9qbjAFbw2+BwLdVVAW17XOHqKOmFAqIGQ7XDE1So9PB/vz0hfPERMGNKbhAEpA+dpxSDRvIfMSPQAnNoJIf1ForOsAxo62Z1EAyiOy5FwjnsA3R6qYd/TTR1iuba6B7xVFWJ/8L3tSyxkGzniPSux6ZEo1RZstWbbCSQrz3XOAf7WqQmgFk4MpkHkYlZ3+yIFDV+IXHqJpfMXOiLFCqfrssqjkMt/4iCpm+QvyU3+t9JrbISkWjPXy5tauShX1kN4VTj8ywhrC5a+StWxw+jcnkNc5bsQN4yJFA1yGkLSdbUgzHlX2tE7oobeTAt6LqW5Ttpxg/Fk/oN/B+lUonTfIfY9ZkhLmQB8unEvlDCxRAkrBblp0c78UHQLj7KjNJyj64SVP3GtOV2j0pLD0T4MqyLkI80ZUa471pXJm23QXxIhYWBBv5ARLuIgJEc+KTyb0CW37XVXjZ6vh7EE2Oa2BBVjWwOdrqtXcNXI0Dd/Jk2kwWu1DM3nYlAeQe/KQ6Ka8r93QToTGNFlbAUdHzg7sFLNwi/lqM3ucMzzG4Un66SYlj7TBpF4mbjWJK4sTlHpadM9ukoIGdY9PqwtMiSufaVb2C6MWS8Bg+vHgZyyTi6LZxKRobdNF8+VktCNUJ3XrB17gWkceKDl8c6mUMpOQqMc7uAscK71nMW+TkVOcD7glIE8HDNKi9h+mx868QGmyv7MD7DhmXifWv2AHvjLnj9HTeEYHmxps7rho4oUrVwjiv+QeZdYnUN/eJxRZZjt5CNS4TcvDX3sNqIhUowFHBFN0nhSGSab6FDneeo2C1YfsWu4BFlEB2EPYKSA5b3n24dEFWBK7+mGaiVsujQGrx88V50vpyACgAOCDxHu0IOOsKWsqwnVizl0QbB4x7RPhh0ztgs1GkIDPiXK84b2cvxjxctIMkpfhEWNSOTohR50fuZ3VpTonOby29mMumQofgiEOC9uySl8KJw3vTakT3tcjZ8z/Vs+/jNDcuoAIXs7dLFEZ+I2b0cgHvNFofeh4w2RMiMh+AbyhBGD7ZDwKA+irdaMarJHc3ecmzQ1O7FHk9EZGN5IsQSczCqjXzPBsbEdEdu3dsoQaKHkFbD5dLm6k9Ylw9LSLb7rUKez7dQkNjW6V/NSpXkswbSDlQbBiRbs0rmJNdsNkvRmo19MI2VFmQfWtKpRlnbBjtOa7cBIOadBvwyrgj17lTyEkzj0DozwcYuLRWxXfleCPT8jYMGkiTqwcUV49JBKIgMM7Uze3X4he8elgy8oX8nh2oLdarIoVzDghvJLEcy98Qn8MCYRHjkL6pEHuoN7i4eptDQInqapsNru7me6jd6axeHzcagJIWeBRS15/cZR4GLGl+oGx8HT0nPMfV6PvX8NxN3uJ+syktFuPxWaKZM5pSNZARqoG9eS7TNWzM6r5Gvc9saiHg06ubQC36P2rmrvbrYBGML4HXu4xTV+GGwFEBtZ7bAKA63Tg7Z2XC9R8ZSZ7COjnT4CKcMZKuuWBoUX1KfToLpnydfloFrgKKupw2g6eP+i6JjCK2/s/0VT1O16WwsASVxbpum8PEbktlukMuPdp31rc0mdxgkx7QBIpnIOH/e7OWDbFuVHlhhHzLaOCsT9gbJIbIwlMjHqTeuk4S8bUsXDEhumMQJK1hi8RWWR9hEQsSW8xfIurNImb79casuZYb2zBKi8FmByubasYOZbqMzpn7Rd0fJV8dVUXcRlbQpT02Y+V/wPg5/p6y2IIdGQAAH+QAAAbZBnmFFFSw3/wAAAwGcADa+vTHwbN9x1tACNPYTnc2SW+BJcdjvpOHLQnwv2gQDT75iN2s5QzXmGVzgAoBIkr73jvWR17wR2V7wFdyD0ojoKVhSyPfbDXfGPk5rYst7rv+MIXuJh/O/1n9OjPZiQtirrLndSJmN3+Z2nRS3Jd/L5LVAkxBrXgHWIEvD/FjaZJaNhyV8CYzJ93b+iJ6J+9TZrtrRW3WkDU1XdyVEq9h5bWYynWvpT71fDCg2AKo4hsqVwme3fzxhYjT2ZjCyzrD2BcsNdPdqnSHP+KM9+Nf3C6Lw0qsjVJLEvSlX8zlp8EUg+eSyYtJJ+5UUab8VdHrOnGr5mN+j/xPEoErII7eycH9zk2jCAiqurNeoGs2z6Pu46MyZSd7Y3D7em2Z8B4JJxpK2dtVEqhaswXfDqErzVrDuP/WrGV5gCQRMfkAo4GEZmXUuhv3dMyNv/9VMRPL2dvH2lxwhLc4PdCjzTCx3MVuKz3tPicEinrAzQ8s9uFcO1hLi8NRpREXBsepKk9A+NGds09rhAflIu1XvmmcurEmHeqofTaz1cafRYJ0+lljJ8AAABRQAAAEgAZ6AdEM/AAADAfCn0SjyATQ4Xdll3aPu3uIMfcaASuDbPBTomiBj+nnNE8evknpS9k9kC2u94lATXkmLLjFBGuomYdMZNbLXGLFe3I4aCu5l/xDlI8XyGyVfFS3HDZ6Sv1nJKPW421++7ow/f6FLQ4m8gy77FYCUtRmute7Nem5KrDejRCs/mUHaanv0ZSWf+Jp5dOlsjnwsj6yYXh8uBrBiE2oOtmN7hJOEz4SJ3bd9OcCZ/+aJnypA/gv839x8/wfTcdfAZHs63pA2Pcw5QiPsEt+gNNu4fRElo9uprg1jKlDsgDdJhihxCWckLaFvcSSfmr1i+xoyAMSUnywh826OXlBUwjwSUw4HQlEKehbhCHn041Q0soBsJNIAABvRAAABAwGegmpDPwAAAwHkGu+Y9W1KFyF2hhir6yGD+No/01Q1eu5AuXKR8+MsEfkgVwIuKtrVHW9DeAAOyxXfpS4EXNQsqJne0ubEF0NV9v6HB1STAxYmHaPLoBloN3qSrnAp8x98o3DuBhD1p+wDX0JN/Zn/aJ177YYfhTFOcu0PajiXX/qZh0AmoMnruMM3jLi8ALT3v1NITfWBhFEwwqbjQzaT061WCapH9yca7/utE9LjpOGFete/wowVJ3GA6M4+gFuafG+goKb7kx6HieoO4mhM0YksH05FnkqJpS+lBDzI0+UsO6j4jGaIkTEKl4+a+XI4GKCHKYxhvn4IcadKC9WAAnYAAASlQZqFSahBbJlMFEwQ//6qVQAAAwGKn6oEQspjJDYN1aX/o574v19qWVzimRORxZ4w53/ktVLPmVqwi5gBtUDQ8kb9e9miqUueVjI0Zqvk51TcM94sUEdJgGfw799Smva7b4jWn2FEF0JewdpI+l0yN5ipIbtahk+28YNQ3+ldhrAU7ySCTMbUcAj0jWah+s/xs25F+6d4Jt8+9wpDx+hxAUdl6yvypAInmEbIHIUrDjQydf2OrnUN3wNfd4V9lvIFOk+OfrULMqHX3Vf5xScrITlLa3XdjhuA30f0oPmotjrb1aQUBBp4p8O94cmoISPw5Ia8Hsy1HcjuYY/zM2A2TWtoklymYj3jlVUMo0dkVBugbfitQFd7Dd0Y3zGlFcownU7EO2mX9MOMF2Jve4njaTBMorVWlDOSpeNt/it9vcroB4wC7f7VANpihJVyX58wpUkwmngEHCkHSRsBqjmrKHQp+yqQXLONJkFWlC2nZokWS4vnyFLavr+ge9QVpW3ivOowYNOH0KW1XF0G+V1/B0md8f1A7mQiq3J3MBC/kBYhvXnBa6hXQxJzz6Rk/fiLFih28pXWrdVeb3umewm3B70Pjq/YNzZybYYZcwPwnq5MA6AUphXt9aVmnWe9ua9BGJoxZty5tL4qG8HGvXmQZ++nHmF6hnc4B4MMQNBtBM7VDciGJ3wuyW/ZxvvhnRvEMUVTPT4VZsHycl9/Zxt/wrVYRq15U8SK3LYUUyUxB8o/090xqOGo0O2/mnsegV6jnB9ucereF/8Z0yHlPq8zq+ePg9jAAs5XPsnZnkmkZ07GS/IUXr6p2e/8OGW91XVX2PUeHT0QscXLd+/RqfRVVL4f70yfQSVElgQTuq6Wv0VWSXh9cKusK39xV7B1g84+g5u4kOMTwwf0YBK/eZE9LHmUN/PDuk48K61WUwhFArMvdkV7YSORlS92pa+mvZLXcdZ4f1uJHLQCSEftZwzleh9eEBOkxLTWZO0nxVrBej5+rEc5UljEN54ZD2qzevXMZP54q3H16ScHclLT77ZRfewRik/ukg2K49YjtQehFVw7Gyjw3/lovija59Tx1KE2frKok+LlqtYgbE6uzDNUJ0TQFVSRaWl5vXMVwHNhkht1LlqW1DemJ0IyIquHlfEwyqsA0rToPZ6g5YnTD05EgtJV9eK+4D5+4hgdixDZZ1rR8f7+npO4csj1l7yIKLTbZ6SEJrNCTKjRgFiwkOn3c7mvWdSQ3Es52BExEMsCAy6yzpJl46RiGlK+cJzu+67QGGd819yCC8LrprNqJ7oN5My4z0gB/uCucoR+zRnDPWAWjrX8ZqXN34P28DQ9WQqntRtg/8kqtGu5E+V69LPne09c/JqNMkqsH/0th8foPnHmIS1nCIl6zUNH07oa2fhZTmXu93vYfErGNf1NQJVU2JIgdEGnRjVZxAU58BoNuTZvpvfzXMKQGsoLiUAGtQFhSw/QZYCXhCzJSrMlmnVXYbDvAmS2fSZh2EXRYPisFCjbzSw1ptW+T0oZcXGXIjrDzdyI6478u3QlbXTgL6kuGWS7uF03d9V1235Kzw67J4o0+O9m7QAAAScBnqRqQz8AAAMB4Hk+ZUwAc1JKWNWpr2UWVOlMd3xPCaVPSQMEyxryBnVuAAzSsnOfVOLJa5Fgsq9U4Ao1oWUx9VjpL5rtLybMYygLC3tYoQCVbx6AUvyS0zXXljLFCplArks4fqVsKUFI3/HiwwiZd39+kcxncMWWsfj/8qv5zauP1k6sJLwlHvu5qPWTjJegpnDZMvxH4w83MkrhihEoUgMAdti6fexe76ids+mxsktIv+BHclZYlFz7O36LOq3Ys1oKzOk+SHX2Ea3cn6tonXtsqSc4SPPN/i4tK5ihEP454hVLxk00BBcWb/c85ozXH0OxWy7tTqH0D2Qsi7lGVnNwBlCVCssl1+Z6jbIjkIDxQvFRGm45LewbzHlbC+k8zrm7AJWBAAAHYEGaqUnhClJlMCH//qmWAAADAiG9RpcRihHmhBOonaUUU32faR7/Y3NLVOPgf1cwMD0OqNqehpJ/vIXplr8MJpWn+RfuitDtUBB9FBfbVchONxf5/veUwK3aZWQQY57RfjPZx+bO+cpI0EKdU1fdXBozNyMl7EjH/+g8uf8uV286yYb2uBpLg+MvfCPSbvUI55BRun7oId6Rd0X3LqyVPtjZNvMyBJJnyurcwunxwAuhQIkufE4dHDXWuBLl4aWve+Z+iTAYAO6gB8Ual7YBF+fkdAxvxNx0AuO81OyC15XgZuIH+QJUeqzNnuCBGBY936UGSviKSXdMZi7opuU4urJMHeJP+6odRUWVsJVbJOJ3GdZ0fp+xTftWd8P8FvKw/iKAP4YXzZ+IvG6SB6WcEgXPhrf9d+SQEyGN4giUj+ufSOb3Wa8vG05tkqn7lZ8nw7f6mMFB9gK0SNKQ9Oq9ZnC6Bmk4e/grbWO77vr3/LOC66TL/0qBW9FbLXFE9o2Q/UdfjeC/ODG5SN+tFkM4lSNVNuOhRQ6FaF4oPJPUI5Ywopj925dxsg2y3y23vLxv+3Hhupr/dwUGSi3fMK+GlTPVci1xERChG4nnQJce3+7MU7MYjZcA2vkBMGptzODfWdShfPVUxIWFdAul2c/t++m9Pw1CleG9bO9KjmPmerrYpO3aIL+KopSKM0wU5i7g3Nb0J/AGQyOR9BQZURVXzZaJBig8/IFbtKh8z9rUd0qXUfatde3tEFKPiIbYZdX/XUo3bGaTIXHGFAuiixMdZppZwj0xyBzt7K4r2usDVfHcYMUHoXBU2ixLWrimHjFMasrxEkJYSVTl25Xszln8ba6XZNVMZ0PSIEPb4z1pHb2otlQMzSR0g+g/TbYPB5Pu45vAoim6vhveGWIiiDwP5WQ4nlgi5GrMXX9slt7bdHNAVQVr2HLpaAglGmX0rzddyeaalGeJOk5BaQ/gMQtVJ40r9nnPuM3NYw0IRWTDTbgMqxapnhTfPxz2jQqsTyPQz6J2i61VmT7raFrxi62e9eXYzQqkwkzrhArqZ1OzSqK5F0NteSzUDDkXfWMPHbJTrv4ZNlETApyws/w1vtss5eqYW4ansoIl2DAoHQ0GAo3goK7byynYI7HQq7D+XlmXluY13E9s7VA8x6A1l88h6O1eRbVMCdPVvNENr3jA+/5nGlMuKZqTyXQVt3ISlxths6ND2Q1dGFSjekCsLo/G84Lh9/8Y3TpvVPwK6P3w/T9eRG9CUMGYr8vjeMfAphJ9yD4014WKn3G4PPFIk6kHgOaK9bs5ACb34nKFCHIT/a9BNShNeD0tsfNtU3YVZV4TCP5v2nwJcUYjkm/WbLc6TK0p/1qRm7CuVQ4Lcaav2xDizWvXRTQKh3hYQr64EJvupAFNhgrRdqraMXfv0fo5GjiC0duWMi7ELUxhqpSlavEAabblvLPdW3LVesNvSNJcA3BBi03xU0E5k0DNlCXJ1Utyavm40oRjyKpi9BOXnpmzljfUuebhTRBe/iA93oaIBTk/f1WLs1XnMwmr4/SeECs7yq1NThov/0OAgwubyy+LFGpHIuojq5g1nGqyjGr3WFwvQosEDpZVD3xVi9Hdr5cKc1fGD93irxuA2sD1q2ck8zRfAdO9eIxIpxG6fGaa6emuIPYD/vi2cePRhgVQF0K6XMESRG7hitmDk6FRd185iA5rtaAfWjX1FDvXC0EvRKqEUjsNcvu5N/oEtoSEHiqnXtIj0RAMuk5ztEV2qSuN6IJh8P3a4ovJET40YRmbcYU1PRpp6qrkJSsx0GubncUl4EcytZo7FhP5ksZNtuj1SjH4PNpw9AIILphN08jHLMisjYnuoa4NI2TR6C2/DKWmZxBM5P8XXhBD7JmqeG7nRxUHSPofJrGsVtXijS63xml54E11JtBHvkpQh1zLU4dp1klnZ4uxEfDRhN0qr6o+ghwp9oXRO86oYZzsjDty3Kp0k+Fn0eJc8nJvbfAP16c89KA9eOiHYZTUuDgM8HfSC7QLxdO4eozZEm3y3PdzIA9C3318/1rt2r/AdgldwgfPLs1QXKUyXcu2cl4ZlIel2WJn0Gr4eO0ais9+FxPQuacYF02hxN0UiRGaGfm259g8fx/sdOT7b/O0eoeJ4cBgsLEdBbgaI5hGGufmx474mUNqVFjqyxiNaeqVx+Q7QnvLRCRipyrGQmdFyZcnmDB6v9S6FgFFSpH+x41mZdzHTbYYcuD88ANVg9cQ3ddCX6D+TcqYlz7JCVJ8Jq71L024WQPg63pg878Xoj2Q6fkZOJUm0tYXx6i7QRxG6YXPVgnAcrgb04c3W+fFcSOdwh/PBH9TvJIIJjnxaQ38lyQWLjqpkkVv7N/jP1rg64lFLshekVD1+6y9Bj0YGqMNiv4rb2aR3Tc6tq1R6ZdiRuzOzgf3dBu0PzaHytN3D/1cwcR8oRBBPEfmkvB8g/+9Vztb9mrVMfzjleyl93JffkGf7jvTvzpO4i/vkIR2UatABB0AAAMpQZ7HRTRMN/8AAAMBiAFAU+MU1a9uvCDXiDC7AAHBMZcUxAx6LNz2ScZ2UsKyhCFoQDIdNyMcd5VqZw/l2zlsecso812w69Hs8qKzh6R0VSriYMLfiBJ2XLzpMi5Ia5HZfXS5fP6fv2Xdr9cO/UflxQNiqy6QcULl3LFg/5uQwZwc0B58IusNizYzKPNhjV4mm/JfM/zO3pG89WWA17ZP1lMtNUV7r1Jv7Gtgfqypo6+mTTNdyXGPIzvWuIvqF/1gsWCL93KWoRysOGBarwtruNe0RUTBTOJZZb2+N4Ekq2KwRTD2odvv630Cl7Av7A3ZIYV9X9RITLbqHBFj/hTQlEC/wBDh6MtJzz2ILgDECtyJ3icWmABCM/0ErNNjYzWRG3jzCpOvhDp04VD2WJnfIJAeBR9pBPgWIZiwbyePVb5qABszK8ZCTb8vznxDk+fWnQjVhzMq/94qX8QL5srr6HTgb64cW+PKiofB6bqCBxISbUVF7hcIqPG20UjRkd4FtcoBHjDMj5AaSFsYEJ/UBYmSRmssOnoDSkDVgOGncFf456+qZnmoLMaN8ECWswp7/QsbRjuGZEXGdhY333J7lBjAD+qNgP33sh2iF3erobt913fSYiAEgOWZJ1WhMzgKp71eN3HodxVTkXbpGiSucLVZJZSMBb29P1oAndks/MYLnrp1qrBRIuePkbAMladBp7/eQSd6ZAuKQYD37CtrxNRGMow4oiu21/YW0OjIX2WywdgMBoJ/sJHtOlMM65Iga7Aoscnd0FrcBM7MvEjQjtGtowBdwijaByQn6+SS4UwJHfOk0xN6Gem2UVW3Ve8RNnhSKoTGpMsFV5HIosSqHQdjVaq6HY6OweQuCcYuBWCxpHhqG0kPL65gS/NkfdliWg6Se4sGwJRUvlWe6x4jPCI42uGIExfxqz+1yMXhqWt2GXrR0xfNSa/Np3C1ngfTB1EpZj4vL6bbWLJn566ftdZkymT6G6UJzdnqp7yDyDaabco+QSOvb4YsgVATgUCy5MhSS3zEc6YW3Tq7fGV6tWF98wdjx86jFjUbqZUUL1F1KQBBRMAAMuEAAADyAZ7mdEM/AAADAdsF71sVtAIUEIBEtBziyaAq5DAhynHsHVrFUgYZ1Qg65JCAhX0G/ETB0V6oLaOPVDTkXqSdd24yg+H8ZiGGzQE6mN+CnEOcWARhojOlZcOWxFTESn1W9m8XGfZ27L9BxEBf5CWPyTLeuc/XlJgQN14r6uUzzB7DIkFm8Cx14ubnw59UAj8Lbvd//upodiXyXTOdxhYYlaHj9wFO9niuYzdDfUNpCwzsRd5Tws/rmxLU9hbY2kd3IY1RbbgIcAa6WkZ1qPgh4fMmJLJ0nAw7a+HSXbJL0McXB4wf/FHQClm8xYlzYwAAUUAAAAGYAZ7oakM/AAADAJKfrWdmZ6ABdMsngsLEgs5H3awkW+aobH/J2AlCNf6zXwM8p+0j8VN1UoNRhSwY0wLqFEVMBTen3OTlwXzBVy+JLFGyRTC/E6ap8wemodNAy8KV9rJE/FJAPrnI3cV+dN9f8iYKu4ohSl3lL6D02A+DyVRbGPFY3nLVm4RzKYdW4S1sNrFkDYmCsPF4lrO9YXeV5FHBT2/SFmoe9SUpiuixW+J91MlM5p6DNKOZ1LJ3ceuB/6cgVTaZyUm0KF7akGImWoLoq3bQblYqSAYK/ydBqDMe6TQZ5zbqwvYfZaxKO3o2cRy3VRTNRRNP1cfL25TnF7Obg4eChxOaVgElFtgLCrD+OD7TDBkHDTSY2/Hbeh6wdWSuDUbmq4Beaov+oaWTuG9cgwVlscqecNWXYTuE8NVLw//yfvU/2dwpk/v5eqSFU/bt0uihFdmS6ChJz/QNx92u2MLGqjwVjZgM92zSfv3tEre2ls8U43opVMrUjABh+TnzrxyE0YlqFOWo6L4kgS9kTXSkWL4KABZQAAAB3kGa7UmoQWiZTAhv//6nhAAAAwFGhchU0pmSATWBftyYUmUeemVzST7bhfGyZCzOVdF/9MNrO0YVMyRQNvQ4OHv/F1mu35d5OYTJLd5P0EW9JWNOF9xs1L7p7sK9loQGom4NxtNsWur6LfNmLrJfAmaa3HpXlP45Uq0RYCvan4U+ET3Bq7oIZ0o4ar1cThfZuWaG9Ub0lf7akReZtyNsanj5unWZJIPh0U2KOqkdufy52b68oslsy4SJFgcKJwATX6IxjziGMLhIfk0YzB4Os9LU45d1W/Gjxo3LlAL4IJpyGQ37xfkIiwMdKVVlJTrISw80nNd+V3PY+v/Kt3oB0EGj1/YgNRUgIzTQcy04SjPV4KdAvFSOloZPiI5dfKqFtzbOwhv90BLgN1+xpPwWHRJtaE9uJQ/K7vhnXH4ZBH3rWiqrF+8cODlMoSrXPUc3FdD7Ec4AhCOuGa0sHozjG6L7xuAGlkhQpPBDClQcoa8URNN23KclrWIih5A3Kjb/JstZz3Fkd4Vkm6CJW++3hSOQcbQF6oGurYwFEYTDL6ZREioANhVL44Yn5FDO9PnLB1fAnE2RuHM7Kjgv0/2yEr5LCAkXftqar6R5JoywXrTqeidE99qzSXrQl4AALuEAAABZQZ8LRREsN/8AAAMAdZ4k0MkTQBp7JDYfgCj7gGRT5q2xLPFicALk4JIpmCmed6xb/JqXyIf9AWJV5ojvVIe7PWdqkRSwqwjCNRvwjpguOiWCs3KXPYAABCwAAAAhAZ8qdEM/AAADAJK8+S7PSjyNLZAB5f+8ECCbMO8AAAQcAAAAMgGfLGpDPwAAAwCS3EA1MgcOncVgYl4iC1+0iGlXUPKCJmBvMaD+2kFiBC5xjgdgAAj5AAAC4UGbL0moQWyZTBRMO//+qZYAAAMApTkWALwgBfjONPc2i8GpxKtySLQN8QV5eq9kOJwW1fosJV920yvK27KrtSKp5JaF7nnvmEePyIj6s+bmpAg45eGbYVRcsl9Axe5b19jgHAc47UGDF02o4OBZGYXYMO8KOu3fmFui8YOiVL14+NIrrcap1sZlN1Nwam5e/QsL2DBcab7QWZG/8u8+5LqE03LBr9OIk/gqEOsqp1/B4Pv3rJgpEjYQKs2lSfPvr3PNLzNKWL/qrMfUJ9Ka4G6FCl0dhiWC7zhhDniBBw+0Er2H9E3LlYjy2reoqvfF186vwz7Q0P7S5VGkzOR0v3TTwG4h7xoaDFDR7bNV+AYP79g1daf6lBiG9brnO8BtQYoZCnqXGTnpYRz8a64qBH6lfp1I6Q2xnuYw1wA3uHNdDIWEDR6a8knyb/NOdc0Hum5inUA0TXqS68TGsCfYR6caMU3rY9J5OFSSeMzN9+qRmuxadviEuucmFjqGKjN8aY27uj8MJ+nl1gGmqEvWxDcIDM23jyziFZ7Q2duTEc7csK77arvi84jKcb8T3xG0Zny6JD9p4+ndwlZFTqSqFTy4qGsqjJJifLtZfG2w5p9CLJsBJGCtjxkr6eSWDgsR/FTJFZRnVW86V4GE0NY4MvgA72M1aQ6UKKJKPjMGt1rdhizesBNmfyugofiWV75XLf7xbjbGing9SnPId4Ngt71+c0SF9A4nhkLl50B+vFNFRKI3futp4H8qFoHWLTbZUMmrNKdi2pK+sDONxV0WXxhL9cU/pyM4HedEr62IVpTMaHGWoLsoOiNEGyV0Z81vyUOI6Jp/TUiW3yuuFqmjBnGe36sZUbB+5Y1xmqdP1z1w15IKz5qofCzm4ibUp/qzXdh5JMof+vNTEF6aDDfM/8lvUBcLuTIyofSJrUPiquCZ6vp/tGhdqn7jCvAUeHidTxPKMYX0qhfdcD8E9ZogALOBAAAA9gGfTmpDPwAAAwCS66zM5cqAFrVlivWUcnkh8cDGkQUFlkmD+6G3CY/yBhqTN0yKYvHEztstAG9Swmu89AbVpAQf93cLsR8iCBBvxrP6tSYuBXL1Fy9qECmlRfv4ugixdn5/dvvehrW0n/BZYDX+IjZCWbdBDeoxb4efAgolQR2+74b4GJpUb5YL8/cB5pW67ynGPx5E/1cOoceuxMlnGMkNIyxgZYQjp/dUE7CLHTvgRZLO5z15bpmzOy5wse9GOT/lmr9YbDsZ2gib7yAv9LA3BctU2e4NR2gBwW/Go44BeHivvzBs+prgTs6uk46woZRocAAIuQAAA2ZBm1NJ4QpSZTAhv/6nhAAAAwFHDtaiEHPasyWukALXn9W2LBcWU+FC31UXokXbB8wwPxVSHLiZf5yEwTvjZtnDQdovzw1FWyMuparcuM9JEee0OgLBy/xch+ktkbhQcYw5lrkFtd+nZJG8vBnfwEOz9OYjpRZ0zRNw2jEt7q1ttD4/83Y2GJwg6ectbdKcCL7c1LKHVhtO/2REGuP+TIIQa6Oe0dzcOTlyMU/KMA4GAbtzhBamaJUETT+GP4RIt0ZNinNKk2va5pGD0GR+1GtsnWB7XDdIezm309xyxL0SLmrQmS1J9D9LS6ExP/nO/4buRb8OMU3WdNCuY/ymm1dhT72z/BRjVcDzlw6blzzM9wSJ1cILfGJeJDRMopI/8sJxCcNFmP0uomq/ZabiOtetFZUSMqURYr00tBeeN0JnN1GZEcdAUvMllpAs8wPlEK1Z3PBdtl9kk9DwvPCHXD82Khe0n052n0kZpMZINuMhxE2yGIP09b56GlLREPYI4C/qcL1R43EoCvWt3wpTlizsp5xzGwiFFCr0hKHXBVCsij3/8Mzd/wO9VqajodC87T+66LuUxK93I12+hlRQJltGua5o2UUA64heIhvDygXagugASqDN+XZJIotSG4VZzYrX5P9LcRpolaSvH5PiS9/WPCenNUlbyayPBJsuf4NT13B8dI7Y0Y+O5fcdAYMcPUKGxUr1W2u2P1DTx8VgvncwDCNfEKDrfiAneIVvvEGYFS8kgyrPy30yygffR4DDCO3Mrsz4aZ2iu7TO3ikO3NldwXea5UPHvT0I+pH380PYRez5sfrTYLex9EY7lYa4AiUs5WMvYQNqUh0LeVVNun4AijfQc8ho4NVjz9Gsuz0aV2SKqScy4VKWiWK6+X+U7q7uTqmj0bAHIskK/efgnvxuyr4PiCCQ4a3QOK0bkl/gyTPrn3X41aJwW4CtIgx84BLYumcl/XPiG1918JB0x+wrcvO4zqurbYEeteonJu/Zm3OjsWBsgj40C8yboVYMtiqvrQjRKktNOU2dnbetqYFOGhlDjgUOZ1W7KsVMW3NV725+HzjmvaBXDr/1r4+N/Mq4XB4GCvyQuSGE+HtzVkyjBkQZW1P7XVoi+N/caaDjXjufJdq5FNXitxWlH6JNRiBTXNgAB8wAAAG3QZ9xRTRMN/8AAAMAds+a2oYOfLyxe75A+gBX9k1yoDK0tiG8usTBRhsJVu4RNc8CKz+DDAKs8NiLdwQy5wjBX8otpI8ii/ueG/1PXpKCVVmTT4u/80zGOjuk7N7zHOpFaLNAyTUDp2EGqhFFIvXeZVY/WYKJZT/I6MRYnVD5BD37dQaJtSPaImbRGPnaBGAVw/ZTUbtrg3grxZUXihoQ5DXJ+4WxMlhRo/oHg4VCmVvmdPHOws0HEUkq9JpL4svxClu20U69wOyh3QDYG5CLeo/x3dzKc+C3pHnYnahnUjIKsb5U+G1Is1BYXjyaClwnr75qt60ZjZBbqstwVO70ynoFmJSxCqMMZyO6PjeGG/DAHVm6bVekCX8ALMJdbCC+JGTZi2uMkPMvwvV7AhZSiEQOMrylEt+hL8AMqNL3g2tFG01GKw/ugrf5V7twpURqYkEKUfx7R07vvv9j8X+HeWiZKDDXkHTdRoOC7b+qP2qXwjmjUenSRSGpNi+V29fEGFUBggi4YDoFrMGw9yJHzRssZcUPIU2pJcLY7kQCSAUNFbpFBHknRXUXiUiSSO//uzO/AADPgAAAALgBn5B0Qz8AAAMAkry2QvMxyjo9gQbPTydO2sjccABxrYR/PmEAbd1JznxOinGPDQ1Tf6Fe+6zfpCCygg8pbMjqI2HxhWo/NKfsg1foWMeduB8G7IpOmwPPD7g8Lk2lw22V4D1JSqtTd7aEoKa4glcxxlX/gzKEOS3WJDjI+d2hDZv0xlkxjosPA3Q3MhLo+1mk+6O832+1EDnPmlJnqZxcm+yu/b7LAPJR0EzoRD4oq7OUwTB4AAYNAAAAygGfkmpDPwAAAwCS3D23AcfAC26wrfPBHd4Q3X5PS99e5TF09VGkipTyxp3SsGLvVtF3fYUE0uHaU4MGKzp+zv83XTN1epR2ZRuA/0WbaDxZO7mC7OsaZlwl8qBupZGklozaQQv8Nq0D4t31Bw054eWO6IzmY7GMz86XZnWoLQFp/1BJrFIrR3EES3msIrHK/sSyHNy6h3a0Ndf9j5Z1rHLnLnUYvLpnC7kmP217VWtS7hlvvybm+AMGS9O2kMIBKF7tlVhSHUZQApIAAAHfQZuVSahBaJlMFPDP/p4QAAAE02bc6DuYMIy5tMP8kAFvBUJr15LfgQDNbcWS9svxdqAe8OKd/bgPb4qDiHBAMUruUrzXehULrw0GK4zzdDV/uPwEF33Je3tHF1u9DB1sGgKXvVhcUboohwOJcU7jJjeidS1CcqDIbBg6AV4lOB2k3zp1fpunYyqiIIBxrV1NJlSJSlS+PHQJVPQANGw8yZfs19754gs5Ur9flgA6VXTmweVM4xU3Ya5+jKvadW3s12qVCiY4I6f7GmfnaJUsq1oIaDYT2HkSIVOCIZkZOHne3S7P+IHllfw7BzaHfw5kQWzHTw+CH6w6sEnRg/8p+GrVZ9L/IQY21H2to8GhIx/OAx+UJH6tGSQLPpFgWoY7rCDa7XHHn5RaCxMkLkrobW6CM7zoUoWqIXvmAa4Ce0+Zw2wm7DMMzhg2latBX3E6taYnTJYunEK3KljL4mXsoSFCvRS1yhWVcF++YvP+M3/VMj7Vp0/3qxtzgGK9uF8YKP7wWsoAQFRaPVGN/hrvZEi7x8TkHIH6mhbPBC8g0uwyXj804ScPo04Dp7/S/c9CR1CdmQttQnGSGc8MqkmgoI4v7brp6Jnxc/f2mBCvpKyji0IlEgS1iD9MMfAAAaEAAAC0AZ+0akM/AAADAJLrxhZhCM88+oASJ8Bxf3YVLp6GcfJhMKt368cQuLdp0sfvZ6/KP0baoQCM++9UweZ7Ybz9TgWxv0NQ4XKoLJm7eFgeWV72XZc720OGv6sSU5hoQJiPl2ALOKPmjlRLMF0tXoOpQIZrcAKiGhNsmfL4VkkUJs18yQkEkJWew2uyoWWdOY2Zxifh/bT1H9QcFycMc9yCxIj/1OO/5aaBsI8TRZvrLwkAAApJ\" type=\"video/mp4\">\n",
"Your browser does not support the video tag.\n",
"</video>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"using HTTP, Base64\n",
"url =\"https://github.com/empet/Datasets/blob/master/Images/hopftori-cycloid3.mp4?raw=true\"\n",
"response = HTTP.get(url)\n",
"videodata = Base64.base64encode(response.body)\n",
"\n",
"display(\"text/html\", \"\"\"<video width=\"700\" height=\"480\" controls>\n",
" <source src=\"data:video/mp4;base64,$videodata\" type=\"video/mp4\">\n",
" Your browser does not support the video tag.\n",
" </video>\"\"\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f1da03b4",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.9.0",
"language": "julia",
"name": "julia-1.9"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.9.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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