{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Various ways of converting an image to grayscale" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from skimage.io import imread\n", "import skimage.io as io\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "orig_img = imread('resources/auto.jpg')\n", "plt.title(\"original image\")\n", "plt.axis('off') \n", "plt.imshow(orig_img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Method 1: The lightness method \n", "This method averages the most prominent and least prominent colors: (max(R, G, B) + min(R, G, B)) / 2." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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JVpDLT8kPMVODdcla9BRzhaD0aOiiB7+MuYGZnj3KafJK54j6MI98NPvZgtoCrkLLrsXnoRd6iFppEBLDQs1ms+GzxpKx6HnMtCVuNHI5CEu13EDp6NQzaTUbgZkqLyUDOQI0isSNcMrLlbNUIDq+jUjLiHKIDlkjUTIWveiYkKtA8eaLHQqo5lyhUOtcSseMiPfX08DEabRSueSiBpSsxGJC66ZTpUAiapFehQ6aclN8JSlETjY0on606s25Imn0DEJ8erkiV5SiheTOo9sPiLMgpWuUIG4JIZeXnpkJT/RF8zsVJdU8obdhGkHySg2RX1wh9zdXYERnLwVCnasw0srnrWSeGLTEcBcbankb5TgtFGpx60Zr5XoXluVSAQpFyVj0vJMSuNhaV7Ly9Fj14uIJPj81Bwp/PT2m12rSE+anhHyseD3g64aPQpgpApkrMo1WiO3XcN1VZoYLyEsBcs9Sr7Wea2anZjSpWeNKZdEye9Hzm1zahJBpES/0mJ7npXSuUhmUfhdj8Y1ESRC9FpItVp5KFWp0/sV8e4yRUArloyjGc8l3mbsWXCqzEZ4g+IHaqBldIfLdTEWW6CmHkixmhEwpl4/W+y9WPZUE0QOl0xgo1ELV8m0IpUbySlaUkrNPi8+ijNmDnCVvlH+l0P5ZKv07l79qvrbpkiB6Pk5YLxnmOp/fJ1oMa+SnayKUHK/5kF2+so3RHUPNmSd3Lv29mHHrWqE2KNHPculpvV89+RZjoNcr6+SSIEULn57Hl0FJmtSap16I2w/kgpJspMUBq+Ve5OpKqbxiPatJO3xdy8lp/G8i+MVTRqIkiH4mUKojdalZ+UDx68oIvVrNsXYpgyeZ+VAn+cpGWmcQooQDGDu454Ni5DWvib6Qhj5T2n2pYSZI3iioWXhqKJQAi0EEevbckdOX5c6Rs1T1BhHohVay1PMM9Mo+SvcuB95gUNLV8y13ITD6+ZSUOalk6eVDDjwJqEXQzAXocarl44DLN0RPax0qLSaiWwrkA/G5zvYALBeCW4jEobfN8/Uhtn2xnPx/MQ09eclBbSBRq49CyVSUYvSUi4KXdsVZhFw74z/r2f1Wqf6UuMoIlJxFr6WB5zpH60OdCXIoRWmGolDNVUvaSii0XsTBySino9EohFBF4lG6Vktdi5ar0jV6CLcQB6ucXp9r8JhpiLMCoxzKaunM66gbNacohZ6OLOqTaqNzsSWaQlfv6imHmhWlZOXQuqEDn9xL2eXS47/nQz56oESWStZVqUMP+avJB3qCAuQsXtFBKxeBUgjZKxkSvJNYhJoMlQ/0GgFKeYmDJG9k6Hmxt8g94n+6z015P3odyPWA9TaefAi7lC16CkryalEMSr+L9Ss2fpp+LpSqRT7byFXfWuUQ/nyjLNNCUIzZZDFnqBRyso6RoP3HbDYbmu68JnpAmUDKxHLxamTxsxKMJgq1WUcZ0yHKOEY4KrVIOoVAbvDn/RhzsR8Wq9yF+neUUPLmptYNrvQg10MqdsNT2l98ppFLI81VR0bUU5ncc0N0sIr+Jb3PQXT6qRGL1oE/F+TelCXnJ1NzVBr5m9JxpcGT1hFf5kLartJ9FoPkgTlA9EahbDUqo9C6yXeL3vKzeAtaInbUyD2fgVfumkK08HyumW1jRwlyPiC176WO0qxlGdBKVdselD9PDrn0TCMfnhrx5XK0aIkaEqHmiJU7lydn3lrU4/Dm/4vlyEX+ZZIvHHJtVq+1KTp55dqA1naht++IzuBcaSn9pmWw0jMDotfL9dNcA7LW8HCxz/HPrRgDyJwhegpRWyxVwsjlOS9VS0YP8r2HUn1mcxmFWJt0sJ8PbRIovG/xJFzMvAvJRy9K3hnLkwIfBiZaIsVCMSJtZqJD5dJcjWpcesNHyySvHXpnrKJVmE9dF+v5GCUR6cmrUA09n/h5vdt75IqqMgolMYTr2U+e/6zFyaJ1uqeEfOJZZ/J1fOK9iLMcPrKB/ytUj+e/a0WZ5GcWen0nuWbKRsk3WtMupqU70/p6LglTrh8biZK36I1EIVpmKSKXJTAb92b0gpcy9COfkEtgulGgZEgVq9/M1TaiVe+fbcftnCJ6pRVrs12Js4WZ8vwXmsdc7MBzHflGwcyG32uukvxcQklIN1ph1PRO3JPbaLJUmyqrTeH0jP5K0QZaw/Po+Wrf+d/nWjjZpYZcRKklAoqQzIpMfqV0Op2WbU9q7SFXW9Gj12uNAJI7L9c5SsdyLSRUkkppfWkpr5iW2PcN5yRDUyujZKHUcMrrC8rgIRIX/18Oegg9F4zaaFAtbFPr9fkYNnzYsl4UO+qpJIg+lyWqFcXw7BtZ+UalpTe+XquOKH4upOGWURzIxXHraee5niX/zPX2Jz0OXK3x70ppqP2m1Y+gNAvg61XNqhdj4Om1el4qrlTeskVf4phrpKjUWOmxMuYftLZRkczUSJv/r3RcT36zCTE6TW3AkItwK0XMLVYqccw1ki/j0oXau2Nz/Z7PuVrTKjWi1DojLrVyiyi5qBs1D3y+kQT5wijiNmqvfbVzlKbNejRUcWqqtDBtPoSmzkfojX2n7TLXCm4lZ6xcXnrbhHiNUiy5XNq5fqPtX+3+5PJXi+4T5R3+mlwLrPTsVz9v4+jLpFE4ynVYRjEgDvrldjb3UDJaAz9aGqXRFWqRG7XCtdgrZXNZXGphk3JOvXKHnlsotH1p6Sd8uCWgz3GqJe18z9MaaKC0ArXQssmtPFcqg9a8iuGjKAmLvkws+SNX6NtsO7YudRTS8bVipn1DM7VIMR8pSC6N2UCpLeQsCYu+kHCxuYDZctLOx7osY+ahZGkWs22VEknOB5SERa8FszkyaylDoYszckEtMkIM8cp3Cqi0Sq+Y8b3zFWqzVL1O9UKgtX2pOQr5NPjz8mlfeu5Prf2pOVC1tmO1FeS5zhXDL+WO87JRrudQbIOsJCz6mcZM7i450zAqFrlM6GWoYb7MFi8VebNM9AZB66KKuQB+sJjPg+JMQOuiozLKKCZKjuiVOoKRZDkX91CfCf+FmHap3HsZM4OZWO+hJkHqWbgltwYk17qQQgZZcaDOty+KZVB6JafRKDminymULVV58ItoSi1yoIzZgximKP6uBfn4jkphtfl86AMl4YxNp9PTRkq5iqUr9ABcdK7Sg1B7zZ3c73ocJnIRCLyDJp9rtULufHFFoAit6YsDoCRJF9WVXkvmUtw7R+2eZ3qmpKd9aXHKKjkytca0q0EuuEDrubnOUXLSivwjdy7PP2L6fH2prY6l3/n8ZgolQfRaYHTnoA/HSIuhVKSOQoj1UiLjMvRhttpGKayzUZJq1MLClRYtzkY9zimiz6eC+NFWJPVSmBYajULllkIbYakMdqWCuVwfWqzh2SjLbCBX/mp1JXf9TN/PnGI6OZlGa2VpXeatFXoekpZzjXroctNqPWnzbxSaLyF0ZeQHpWevZKkqnZPPcbmyGDG4FCJrakk7l1NZydchwmgjdM5Y9IC65l7GxcjlwygGSkGTLqOMmYLcAKRmIGm15I0OFplTRF8meX0wygpSk7/KmH/Qsn3xXEIxNX6+j2l1wOci+2LUe0kSfT5RNLmgRHr5OkmU0tKShtENTq3h0DLplZrEGGQxP0B7g9QajVF2BBcPeutY6dnqIc18dWij9WtRxlRLP5eWLvYNuWhAMV+56Bu156Fl33q9KEmivxTBN0AjNUPaqIyyxPkGaEQ5lXwJZdIvbcy2c3Q2YESQg9wMYCZQMvNw/qbVRjO5Y1pGP6MrdSat8nyhFtOr9Vr6mU/LKN1fLBP/Qmo+5riM0oPWNmCk0WLEefk4geU+57pG77nFbudli74MRchNOfmZgdbGrMVBK0kSUqkUgLcI38iZSBnFQXnmdTHkLHalxVMzZdWXib6MvKG0UjDfdMRpbVm7Ly0orb6+1CScQjEb9VUyRC86OJQgd0zPq9B4FEN+UYKS9p6vZKPnXozU/bWu/lO7Tpz2ixZQIZJTGerQ2hbkHIJych5dzl+swZgPwJBrC1rah/iC81zBC2rp0vLkirARfVly/if6LPh9pYol4ZQM0ZdRGGaKFAsZlPJ1tho1cyjDWMxEeyuGL2g2oNUgKpajtmQE0EJuLN9RsJA8lUby2WhUWkM683EsaUnXyPMKvaaMwkDbSS7rWYusptYf5GZ4cqu61YiPWsF6AwQKmeFq9RkpnadUTvpbsWZHl6xFP9MrRmcCWqakdOpZrOXkucqmdo3SsTLhzwzEmZdSKKCcxDYXIBfZN9Nlny1j8JIleiN167kA0eox4v61dnSR5PXmeyk9p1KD0ixQbjCYK5iNkF05n1quAdVIlCTRq62AlTuWTwieUXG54rn5xOkWqkHrlU+MDlvMtb+2XCPXY73PNSIpZWgJddVyrSib6ElP7vkX0wEvWu+8M1UuuEDPQKBFDuUduHLG0UwspioZop8PnXkuTGWNLptRUUM0rdlYNXgpQ87Q0ELUlyry2YaF3zsoV/8rVt2WhDNWHN1KmSjVMJfKbmQ558o9l/EW8tWK5zrJ5ysfUuQ7E6azhNmqv5Igeh5aGqB4PNdUS3yoal5vLZgJp6HetPJxjBpRXn4KbwSULEzxr4z8kCv6SkvdFrP+5aQUJRTDwFDiEvp7Op3OS+M3mUzTgiCUyl6sMOmSkG7mguQxX1GIM83IAYOWhf/P51OGsShGqG2pQ87gK7V7n9fOWC26lZzzIl8UK1JAq/6Wq8GJhKd1uqhlUYZcjHK+yBVrrQa5ly0rWTtlQyA/0Hau5ATMN00ehaSnZ/YgR8p6nciFDG50pbCWvfqVthmmjl4+Ck0uVHXeWvRlXHrIJ7RsLobyzSa0SJZlGI985R1gnlv08wVly1MfRLJXauRyYX1l6IPafjFlGI98Xx5SLB9UyTlj80Gx4ujzIZTZcmbl00DoNXRTpdkqh5Y01b5rKc+l6MgthuFR7EFWLdBhJgZ4LVxSrAVXxTQUyxa9gZirlqaRur0RZVA6Plfrt1RQis7HMqZjXks3ckSjtheF2OnFhQhqoUviZzmtWA1aV4AaSUpaF2nwHVmPE04p3DSfRsc7VHPVrZ4VlXpXX6qdN9tW40xBvBc5SzSfWWChyNW25I4X8lshQQNykJNlaB/lwzDF/HKFIYurZ41ESUg3/BuFKObS4qN8MFOWVT5bMvD/80WpSCX8Mv353qbKKB2oGWaz0SdKguhDoRDi8fiMrpAths6mtcxGkalSGbT8poaZaIiXsnZexvyHFn4pdJWuHpSEdGOz2QAAsVgMAGC1WmG1WhUri59ii4ODXsLIlwSVJCUgt0OnWFEkomyjtz6KqdWXI5LKoCjmoK5nHYceY09JklFKT/wu8hR/bCaMnJIgekqMdrsd6XQaiUQC0WgUDocDNpuNVYwkSbLLiHm9XYlsRYIpv3S6jDLmFni/02wYDHKLpUS/GFAYcRdrdlsSRA8AqVQKZrMZZrOZEbvJZML4+DjcbjdsNhtzVojOSXHDIF5C4T9fSuReShEWehyi8ynvMuYPjOSO2eiXJUH01FKnJA5kiJ8QArfbjXQ6jUAgAEIInE4nTCYTEonEtGgbummQxWJhA0UymWS/8VMpSZKQSqUAXOysU3v7kp4VnPz5WmAUMRthVfBpFEKKahpkLplIzFvrYiotUMp7pgeAfKQyLfeot51qhRY5UM86ErkILS1pyMm1fFSLljIU4qOTk2Vo/uIWB8DFPjlaTjENPtLQ6MGgJIgewLSHZDKZmGUfiUQYiafTaUxMTADI6Pq1tbXTJB0gM0CkUilG8AAY6dP06RJlepyH1WpleYsVXqzXj2khVFH/m+vIRf4zhdmQAYpxn4WEm85lzPb9KElJpTSjBkqM6AHAbDYjlUrBarUilUrB6XTCbDYjGo0iEAggkUjA4/HAarVieHgYyWQStbW1AN7qtJSsKSipp1IppNNp5vzlR196PR0kKJnyo7PZbJ6mofEzERFKv6vdey5oXbUnWhR6IeqEM0WESta12gsbjCBqvTOw2STqQpEvARmpHdO+YUS70nI/ctq6Xmes1hml1lmFnHXP/zcaJUH0lMjNZjOzsqm0kk6nkUqlYLPZUFVVhXA4jLGxMTQ3N6OyshIgRaMUAAAgAElEQVSSJCEajWJqagpmsxn19fXsOhFUmqEEbbPZmEQkkijNl5d0aJr8uUoNtlgPLBfmS6x4rjUVeqb6WvOZC5hr5S1VqJG8XFvTI4nqmV3NVGhxSRB9MpmEzWaD2WyeZpFaLBYmzcTjcZjNZlRVVaGuro5JMKlUChaLBbW1tUgkEpiYmIDX64XZbL7IYUvPBd6yKqjlz8tGVNqhv9FBh9f6+QFAfFC0zPysYiYxH8lgPt6TkZCbDZXrTBn5bjqmFaVW9yVB9HTKIsoqQEaLlyQJiUSCafZ2ux2EEFgslouOezweFo/vdrundQCr1cry4zsDT9aUxClJ84QvWunU4qdp0oGFDlj8+XJWtjjFk+ug/BRPbkaRq15pmolEYposRgcjOiDxjjZ+kzNewqLnpdPpaYOyWI9iyJkYGksIQSKRYHIaLZdaXcndm4hCdep8I3TE+81VFq355EsWeu4vX6gFLOTjBBbrUG9Ztfi4lORArc8q1xYSYjrid/Ee5XyAxRqkS4LoKUlTAk8mk0gmk7BYLEgmk7Db7SyaxmKxQJIk5lwFwH6Px+OIxWJMYw8EArDZbLBardOscWqh81DS1CnhixKNKPfI6WxK4aB6GnIhTh3+OiqLUdLlZyXAW43YarVe1NgsFgsSicRFZE6Jm6ZFo5xEiFKXJEmwWq3TNE1+9iMXpaB2b3K/zTX5qtQswJmE2LdmYqDKB8WeBfAwuv2WBNFTCy8WizHZhVp7dBEVL61Qh+n58+cRDoexcOFCOJ1O2Gw2xONxpFIpxONxRmyhUAgOh4MRPk2bz19JUxetDHFA4AcbXubhrVc6OIlpqtWH0aSVTqdZnQCAw+FAJBJhhE3JWNx3iA4MdBZAyZwOzvQacXDj8+WJnspn1DFOBwg5qasUyFrtWV3qEomRz0fvbGw22obRJC+2Hy2DXb4oCaK32+2sk1NrHgAjbofDwc7lwybb29sRDocxOTmJRCIBAHC5XOy6gYEBmM1muFwuWK1WxONxSJIEr9cru3JWSV7hwVub4jU8YYrXi7MBcQDhiVI8R4S4Ux7NWw0WiwU/+MEPsG3bNuzbtw9nzpzBli1bsGTJErz66qswmUxwOp0AgObmZsTjcXR3dyOdTmPp0qWM6O12OxoaGjA6OgqTyYS2trZpck4sFoPb7UYymYTT6YTVamXpRqNRWK1WJBIJ5mCng7bZbJ42i6ODo57ojJnu/KKTTnxmRkWWFIpCSUN0GKrdk5a8lNq2lvrKdVwuXbmdJPNBLos+13G5bQ+U2o3RIKVgjfT390vAW2GQyWTyotdxUSKjVno6nYbD4WBEQSuLWoe849Xv98PlcjEJyO/3w+FwMI2fQgvRi8fy6chyDV2ukfANX0ukjxruuusubN++HadOnUJPTw+amppQVVWFNWvWYGBggNWN1+vFoUOHYLfb4XK50NHRgWg0ikQigcnJSTidTkxMTGDx4sXw+/2oqqrCwoUL4fF4kEqlcPr0aSxevBh9fX1wu92oqanB0NAQli1bhj179mDfvn0YHBzEBz7wAVx99dXo6+vDkiVLmJ+Fl+nkdMxShJpGb6T2nqsMSjCS6HP5UfRY5mJdadH2c0l2akTP56dVW1fS6JUIXe0cOaLnF3HyfjNJkrBy5UrDrISSInoe1GqlTrp4PD5NPwZwkc4rhkDG4/FpmxHFYjHYbDZMTk7C6/UCyGjXFRUVF1lmPMTXsInH9ZAur4lLksQGNr78dK1AIBBAMBjE0aNHEYlEUFFRgUQiAZ/Ph4aGBoyNjcFut8NqtaK6upr5OKhMFYvFYLfbcccdd2DVqlXo7+9HRUUF6uvrEQqFmDRGyxUOh2GxWOB0OuHxeHDhwgU0Njay9QvNzc3o7e2FyWSCx+OBx+NBY2Mjjh49iurqarz66qu4++674XA4MDg4iLq6Ohw6dAjJZBK33norDh48iL1792Lt2rUYGhrCyMgIrrjiClx++eUYHBzEwoULMTQ0BLvdztZHBAIBtLe3s2dJZxW0M/AzoJnST9Weqwij+5dc+ywmyculUejgpddRzR+Tk1hzOUGNInr+OqXBiZeZxXN4Uqe/UalXLp8VK1bML6IfHByUeAucj/rgrTpJkth2xpQY6RRftK7NZjPi8ThsNhui0ei0mcD4+DiTB6qrqzE1NYWqqipYLJZpzlcKI616uUZKCGEzkHQ6jWg0ioGBASSTSXz3u9/Fli1b0N3dDUIIGhsb0dDQgP7+ftTW1qKyshJDQ0OoqKhAY2MjhoeHkUql4PP50NfXh7e//e0YHR3FyZMnceDAAcTjcTidTlgsFixevBhHjhzB6tWrmZQzMTEBn88Hq9WKBQsWIJVKsTw8Hg8GBgZw7tw5vPzyy7j33nvx4x//GOl0Gk6nk0ljJpMJ1113HY4fP47q6mqEQiF84QtfwOOPP46VK1fiV7/6FT784Q/j6NGjbHHb0NAQQqEQqqur0dzcjJdeegl///d/j+eeew7r1q1DJBJBR0cHzp8/j/Xr17NZHG0PNCJIC5SebSH670wRvdZ8jcy/TPS46Do5ohe3MJA7VyR9kejntUU/ODgoKW3zSS1e3uFHHzgla2r98w5QvkJtNtu0iBiLxYLJyUnYbLaLtkime+nwVnwuC6oQHZa/R6pTnzx5EosWLcLPfvYzVFVVYePGjTh16hTe9ra3IRaL4fDhw3C5XDh37hyCwSCOHz+OpUuXoqenBxUVFWhubkZLSwtWrlyJZ555BldccQX27NmD5cuXA8j4RA4fPozh4WHceuutOH36NJLJJFKpFLZu3cpmDXv27EE8Hsfo6CiuvfZa7Nq1CzfccAMikQiSySSi0Siam5vh9/sxNjYGj8cDt9vN1jmkUiksWbIEyWQSTz75JG6//XYMDw9j586dWLx4McxmMxKJBKqrq5FOp/Haa6/h8OHDMJlMWLhwIf74xz9i9erV6OzsRHNzM5YvX46pqSl88YtfxB//+Ecm2+nV8vW0+VwOstnU4LXkbYRsoyXfmSB6aqiJ/qhSIHqeu9SInk+H9hExHXps1apV85Po1cCTtyjRJBIJJvNQ4uTPpTMFfnrPL4zip1Q0CsRisTBrUy48kv8vV1YK/gHK3SMtL7XoJycn8Q//8A9oamrCuXPnIEkZv0MikcDy5cvh8Xjw1FNPIRgM4qMf/Si6urqwfPlyXHPNNUgkEmhqakI0GsX58+dRX1+PJ598ErW1tTh48CDMZjOuvPJK7Nu3j20jkUql0NraCkIIGhoa0NXVhQ0bNiAUCuFPf/oTtm/fjuHhYTQ3NwPIvCQGADweDyYmJuB2u/G73/0OK1asQGVlJQ4dOoSKigqkUiksW7YM4XAYfr8fL730ElasWIGvf/3r2LFjBxobG3Hs2DHY7XZUVFSgvb0de/fuxbvf/W60tbXB4/HgwIEDWLt2LcxmM1577TV8+9vfxt/93d8xye6KK66Az+crSLLJJ9JB62yvmNCTb759nCcrMZigkDxyEXOusuhNqxCi57/rseip5Cw3UNA/OSmHT2feSTdDQ0MSIN+A+HA9MfyOVpDoqKTkTWcClMDp9XwoISXgcDiMWCzGBotwOAyz2YyampppDkIeWix7XpOXGyBo2Wgkyh133IHFixcjlUohHA6zffljsRjb5iE72mPv3r349re/je985zuw2WxYs2YNTp8+je3bt2Nqagqtra1YtWoVRkdH8eKLL6K2thYdHR2oq6vDr371K3i9XixZsgQjIyNsUAsGg/B6vWwrib6+PjQ2NsJkMmFkZARmsxkLFy5kdUsjayKRCM6dOwebzYbR0VG0t7fj0UcfRVtbG6amprB06VL09fXhsssuQ0tLC/bv34/Ozk6cOXMG4XAYa9euhdfrBSEE0WgUGzduRDgcxrlz59DY2AhJyoR4Tk1NYdWqVbj++uvx05/+FMuWLVO09IqFfGcERkFvmnr7uBwJGkX0Wsha6brZJHr+jydwPUTP+wvFQYP/TLnCSKIvifBKQJk0xYoSG5zcdZSUaQy+aLXz++hQJ6/NZoPT6UQwGMTw8DAbGAKBACorK5kVSR+EJEnTInb4h0hlEJPJxBzINEpI7DjU10DPb2xsBJBxNAeDQRCSWQ2cTqdZWhs2bMDdd9+NdevWwWQyoaenBw0NDXj22Wfhcrnw2GOPIRaL4dZbb0V7ezt27twJq9WKrq4utLe3IxAIIJlMoq2tDT6fD7/97W+xZcsWFnVDdXW/389CIK1WK9ra2jAxMYFkMsnCXsfHx+FwODA1NYXu7m5s2LABp06dYpLZ1q1b0dbWhnQ6jYceegjJZBK7d+9GV1cXFi9ejPb2dixduhR2ux179+7FypUr0draiqGhIUiSBLfbjUQigUAgAI/HgyNHjqCurg733XfftIF/Jnf0LMQnowStRDkTlrycY5ufIReSj1y/5o05MS21qCsl8leCloFCaXUqLYfcMXqdmCZ/jrhuRyw/P4gUI9KsJIg+36kwX/FKEPV2Xkqh5Ml/dzqdWLBgAUKhECM03qqmK0Sp5ckPJNTa5rdVTqVSmJqaAgC2CRs/o5iampomL9EFX3a7HU6nE6lUCrFYjMWfX3XVVdixYwcGBwexbt063HHHHfjEJz6BZ599Fk6nk20tYLPZ8Oabb7IN3+LxOACgq6sLHR0d6OrqYvfb29uL5cuXo7OzE+FwGP39/RgYGGCO0cnJSUQiETQ1NcFut2NychJutxuhUIgNrKdPn8b4+DhOnDiB0dFRdHR04LLLLoPf70c0GkVvby8WLFiA559/HpWVlRgeHobH40E6ncb+/fvxzne+E5dffjmi0SiCwSBMJhPsdjsSiQSSyST6+vrw5ptvYtOmTRgZGYHX60V/fz8LzZxNrVwNchbxXCivWEYjypsPefGW9FyG2uDBHy9a/qVQgcPDw0y6Ubtx3oLnG6JW56jctdSaBjBN6+dH8HA4jHg8Dq/Xy2YLlJB56x0AmxmEQiEEg0FEIhGWfmNjI1wuFwuhBMCcsDTvz372s6iqqoLD4cBrr72GVCoFt9uNQCCAiooKLFy4EPv27cPWrVsRj8exefNmEEIQDAbR0NCAaDSKpqYm+P1+BINBBINBPPPMMwCA2tpaxONxhMNhFm5K6zsajaKiooJtJXHXXXchEAiw8NNgMMgik8bHxxGPx1FRUQGHw8HqpqKigi2kOnDgAPx+P+68806cPXsWL730EtauXYu+vj4miYVCIVRVVeHChQt43/vex6KhmpubEYlE8Oabb2LDhg146qmnYDKZUFNTgw0bNsBsNsPhcCCZTGLdunUXTafnCvLxDxTbolezrJXyL0S2oWkq5Ut/0/O7CDkfjlJ+ShY9rwrIrXnJ57toeIrfjXTGloxFr4fklc7RCr7RUkscwEX7rVCZxufzAXgrMkeSJNjt9mnTWLqaN51OM0uXj+M3mUxIJpPo7+9HIpHA+Pg4QqEQIpEIJicnmWR05ZVXIhwOo6WlBV6vFwMDAwgEAvB6vYhGoxgfH8cXvvAFLFq0CK+++ip+85vf4Nprr8UzzzzDHLs0L7PZjI985CO4/fbb4XQ6EQgEcOHCBXR2dmL//v1oaWnBhQsX0N7eDkIIc7Tu27cPo6OjCIfDTOqJxWIsDp9u8TwyMgKn04mGhgZMTU0hHA6DEIInn3wS73jHO3Du3Dn09/cjHo+juroakUiEyV1tbW2IxWKor6/H6Ogovvvd7+KTn/wkJiYmUF9fj7GxMXR1dcHlcqGurg5WqxU9PT2orq5GY2MjLBbLtBXTogU6F0g/35msmIZRg5yaVKHlmkLO0zII5AM5kpcL0eTP5clWKYAi13elVbJy9yP33WgL33zfffcZmmA+CIVC96mRuJIWL/e7eEztPD4v8TitbLo8n+6/Q52W9C1UlMzpXj3j4+NsR8aqqiom3dAXnX/84x9HfX09s/yrqqqwaNEitLa24vrrr8fjjz+OI0eO4OTJkzhy5AizkAOBAPMvuN1u/P73v8fzzz+P5uZmrF+/Hg6HY5qVTmcbhBCsX78eFy5cgNvtRkdHB1599VXU1dWht7eXxaFPTU1hYGAA6XQawWAQ7e3tiEQiGB0dZXXyi1/8gslYfr+fDSqTk5MIBAJ44403cOzYMSxbtgwOhwO9vb1s9TJdWbtw4UL09fWxMNajR4+ira0NS5YsYfd25swZNDU14fTp0+jr60NDQwPeeOMNOBwOdHZ2shfGt7a2su0VZtIZWwwYYbgYASVLvhh58WmqkXkhRK80E9AyMxE1eaVyKjlvlc4RPyvdX319/T/KHsgDJWHRa4HRoxz/4OS215XT9SnE6R3V4lOpFKqqqtieL8FgEMlkkr331mq14tixY7j++uvZtsFerxeS9FYI5b/8y7/g85//PNOoPR4P/H4/y89qteKVV15BPB5HPB7HO9/5TtTW1uKpp57CN77xDbjdbjzwwAPMT3DixAksXrwY+/btg9vthtPpxPnz53HmzBksXLgQ4XAYb7zxBiYnJ9HR0cE2OhsYGEAoFILZbEY4HIbJZILP54PP58P4+DjS6TSzvv1+P/r7+xEKhdDU1IRQKIQDBw7A6/Xi5ZdfRktLC5YtW4adO3eip6cHdXV1zDdBN7GjO4+Gw2H09vaiubkZPp8PW7ZswcmTJyFJEpqbm1lI58TEBKqrq6c9T3HztDK0IZdco/R9JsA7KXNBy2Bf6OrpfHewVPLV8OUqpu+mJDR6ufBK8YblHqBcpeTarkC8ttAICvobH9IZi8VgsViYs7aiooJtCva2t70Ne/bsYfH/LpcLQGY3STor2LFjB44ePYrBwUGMjY0xS5fq4TSv1tZWfOlLX8If/vAH/OY3v2ED1tTUFJYvX45Fixahv78f4+PjWLp0Kd544w3WUKPRKFKpFBobGxl5r1mzBqdOnUJ/fz9qamowPDzMVsk6HA4mdcXjcbbWgCIej7PQTDqDGhsbw2WXXYapqSkmbVksFlRWVsLj8SAYDOLkyZPYuHEjampqMDExgdbWVpw7dw51dXXTrPn3v//98Hq9sNls7EUzV155Jat7OrBRf8fExMSckG9EKLXHYt4L/yY1NTmpEGlMzXLNJ7JGK9nmklm0pKclDf43ufNFw1B0MtPf6DmSZOyCqUvWogdyb22QC3wDpKtyzWYz06ErKiqmPTyr1YqxsTGm+fOdi4ZRxmIxbN26FadPn0ZVVRXq6+sZufMRQg0NDXjPe96Ds2fPwmQyobKykqXV0tICi8WCrq4uSJKEmpoatLW1IRAIsJDJiooKVgZK2jQskso8TqcTkiQhEokwqSqVSiEajTJnNC03la/o/VosFrhcLvT09MDv98PpdLIon3A4jMHBQVRVVaG1tRUnT57Epk2bUFdXh507d2Lr1q2YmpqCxWJBc3Mzli1bhlgshng8jkAggJaWFqxevZqt0KXlSCQSOHjwICKRCHsmhVpws4HZGKByWe+lGiVUhjaUBNHno88rQVwcoZRfoQOHON0VSV/ut6eeegrvete7cPPNN8PlcrEy0DBCur0ytezp6lU6gNANvv7qr/4KDz/8MO655x58+tOfRiqVQigUYrHt4XCYLfyiRHj06FEQQhCLxdjOnXV1dRgbG2NllSSJWct+vx8A2CAzPj7OBjN6PxaLhe31TwhBS0sLotEogAzRh8NhVFRUMN8BXWQ1NjYGs9nM/ldWViISieDIkSPYuHEjrFYruru7MTw8jFgshra2NrS2tjIprKqqiu1fRMNGqe+EvoGMboM814h+tkheqyUPGOeAVTtPa0SNGgp59lplIPEcNetfbdaS65xCURJEbxTEFbLFQj5px+NxvPe978X27dthNpvR19eHwcFBHDlyBEeOHMELL7yAVCrFthtwuVyora2FxWJBJBKB1+uF0+nEe9/7Xtx2221YvHgxvvnNb+InP/kJbrnlFraFAt2mORAIMFkoGAwy5ycledq5afQMjdShG7tRmYaueqXRSdR3YLFY4PF42E6ZDocDJpMJLpcLo6OjCAQCTOKhO2zSdQa1tbVobm7G6OgoUqkUBgcHcf78ecTjcQwODiKdTiMQCMDtdiMajeL06dOorKxEbW0tPvCBDzBHM3U2UymLEIILFy5g5cqVc9aan0nIkWmpWPJyIY6zAX4hpFKbMrKdqYWZFoKS0OhpHD1QuEUvnqMlVFPtehFa6kvOEqChm9FolFmalKhsNhuSySR27dqF66+/HoFAgK3qBcC2Eg6Hw2z74rGxMQwODuLFF1+E1+vFb3/7Wxw+fJiFSNKtCqqqqpg8A4CRdjKZRHt7OyYmJpj1zteLJEks0ojfAiIYDCIajbJ3BmzcuBHnz5/HhQsXEI1G2YBE95anAwTdRZRGMvl8PixevBhutxtNTU3wer3MoU3j6cfGxpgVH41GWZgnIZldPOngQdc5BINBrFy5Eo888gi7rgxliKSitZ/la6nr4ZpcFr0WctVDykohkvSzUloi+StZ9PysSdToRd0eyNz/6tWrLw2NXtSwc52r5TdAXe9Xy0eu4YmWh9J0jy6IolspAG+9+Jxa4QMDA0ilUkzPpunTVwDa7XbE43G43W64XC4sWLAAV155JX7961/jz3/+87SGSeuNOoWp83VoaAiDg4N44403sHfvXrhcLhw+fHiaQ85kMqG1tZVZ7ABYGWpra5FMJmG1WllatEytra1YvXo1jh8/jomJCZw5c4bdq9vtxpo1a+B0OtHc3Iyqqip0dHTg6aefRjAYxB133MFeXkJnHolEgoWl0q0YgLdevv72t78dTz75JDweD7s/Qgg+9KEPsfrWQi65HPfzEUohgFqMID158NAS0ihXHh75OmHVrtXiiJWz5vWE82oNt6TfjW6LJU30FEbdtJZIG7VOb1Q5KBHT/7QRUWKkhMVvpMZvZ0qtWhpl8sILL+DOO+9kG6NFo1EMDg6it7cX3d3d6O7uZo7YyclJmEwmjI6Owufz4fDhw6iqqmKziMWLFzMnaFtbG9xuN6qqqvDSSy/hHe94B5YvX84WMdXV1cHtdsPn86GyshKvvfYa28+HhotSy1+SJBZTD4C9GGXbtm146aWXsH79enbPAJh8RP/TOqCdi8pAmzdvnjZb4X0I/PNUeo6lMKOdSYhhxDxKaaArZqhhqWEmZKqSIHqlh6r3YYsOJbV0c1l7uULB+EFDjOGWA3+cz5snsYmJiWnbMNB0aUjh+Pg4enp60NXVhf379+P06dNIJBKYmprC9773PbYfz+DgIEZHRzE1NcWkIer0bWhogNVqRV1dHQYGBnD99dfDZrMxnT0QCKCxsREjIyPMgTo+Po7Ozk709vair68PhGT2+aFvgpIkCTfffDM+85nPIBQKIRAIYHBwEDU1NTh06BDS6TQ+/vGPY926dVi1ahUWLFjA7snj8WBqagp2u51FK0WjURbDb7VamUTDk3csFmNWPNXr6aCQSCTY7qN8CCgdXOkgwT87GlHE72hK89ISnVWqA4ZI7LQOlO4rV3/TOkPKdZ7SQFOoXKN0npo1X6i1rgf8DEGsp1z3XwhKQqMX4+j5xqY1fl6vFKM1XbnpJ9956M6OfEPR0kjEjudwOLBkyRIcOXIE58+fx8GDB3Ho0CEAmc3Q6HYJNH3qNO3s7MQPf/hDdHR0oLq6mi3OolsaV1dXM5KkETmxWAyhUAiHDx/G29/+dia9WCwWJvV4vV4mM9F9ZahFbrVaWf4+n4/dw8TEBLsn+rYp3jGcSqUQDAZht9vZ4iiqxcfjcWzduhWrVq1iWyknk0m2rUIqlWLO5VQqhXg8jqamJgSDQaZxUvCdV3x+dMM4/hmKZC36KsTnPpcgp8OrSSp65RWlPPOdSak5I2eS6ClopFiuNJTyUfrOb7cgavS0nc27OHqx0xnRoeQsLbGhqYWNyQ06vHRAH47cK+z0kH4ikUAoFMI///M/Y2JiAv/6r/+KYDDIXp5Co16ovk+dlpRY+d0i3W43e+lHOp1GU1MTW4GbTCYRDAaZvn3q1CkkEgm88soruOGGG2CxWOB2u0EIgcvlYq8cNJvNGBwcZHvjNzY2oqqqChUVFUy2obMFKp1QRyxd8EUIYTLS+fPnWSz/2rVrUVFRgfXr16O2thY2mw2Dg4Po6upi20hIkoSKigp0dnaio6ODzU4kScKKFSuY5c9vGU3vEcA0i55+V2pndCbFv7lKbAt00FF7vqUyGMj1q1Iw7IqBubQFhhhyORPPpCSIXiTVXISsBUqOJfobHUGVGodoAfG6Ov92Kq0OP0oiiUQCVqsVk5OTeOGFF3DkyBG43W688MILWLRoESYnJ5FIJEAIQU1NDStfMplkG5tRskqnM3u+33jjjWzFKiVzABgaGmLyhdlsZuTp8/mmxcGPjIygra0NhBD4fD5MTk6iv78fX/7yl5FOp7Fjxw48+uijqKqqwq5du1BVVYUlS5agsrKSWcd2u53tY+/xeAC8tVq2p6cHJ0+eZIug0uk01q9fz95bu2DBAjQ2NqKmpgYNDQ3METs1NYWDBw9i37592LlzJ1pbW3HVVVfBbrdj6dKl6O7uZlFIPNHT+paLYaYdS+7dwPR502O8scBbXeIxvVNukXzl0isUvHUo/q4luiZf8im0/Gr5qhlmaiSfayagFHGjZqnL/a5lBa3cbFG05PljRqFkpBu56aMc8euRaJR+09sQaThiIpFg8ehKnVtt4KDXjI+P46GHHgIA+Hw+RKNRPP/882hsbMQVV1yBgwcP4vnnn4ff78eWLVuwbds2rFixAm1tbXA4HKioqGDbB8fjcTzwwAP48pe/zF6uTUmdyiw0X7o9g9/vRzgcxkMPPYSenh4MDg7itttuQ11dHQYHB/G1r30NdrsdV199Ndra2jA6OoqlS5cyvTwcDqOyshL9/f1Ma1+wYAG6u7vhdrsxOjoKl8uFaDTKZiL84qa6ujoEAgLf6Q4AACAASURBVAFG6C6XC6FQCBaLha0anpqaQiQSQSgUwq5du9DV1YVPfepTuP3227Fq1SoMDg7i0KFDaGtrw6ZNm5iMxvtf6LSbH4xpB6azBTkiFJ+nnGXP69z5+pJ4h3yhkoocCebq23L9Sy5tPdA68Ckd56WSXNdolXf0bG9AfxONOSOInpaXNxhoHjzR089GhleWBNGL+9GLnUfOMabFKjGC6Om56XSaTdlpNAztqDzULAtJyoQ77tixA729vWxLgEAggP/6r//C4OAgOjs78eCDD07bMoDGig8NDcHv96Orqwvnzp1DT08PPvOZz2DPnj1417vehb/5m7/BV7/6VYTDYUZ0yWQSoVAIdrsd9fX16OjoQHNzMxoaGli0yo4dO/D6669j5cqVOHbsGJ566inceOON8Pl8mJiYQE1NDVwuFxwOB4LBIFpbW9Hf349wOIyGhgZMTEyw3S+9Xi8aGhqwceNGPP3002y1qs/nY407kUiwlcCEEHi9XkZ4TqcTtbW1GBsbg9PpZH6DQCAAq9WKaDSKmpoa9Pf345VXXsHy5cvxwAMPXLQSlh/cqA+Fth/quOUte/4aHrRc9NnyHVKJoHNJO7QtiJvpifp0IeF7apgJi17uei1pqpFyLqIvJHxS/M1oouefrXjNTBB9SUg3FGp6Ov2vRNRap8BiZ8o1a+DzpCtPI5EIIyC+s6oNIPy2wb29vSCEwOPxYGBgAPv374fdbsfTTz8Nq9WK559/Hl/84hdxww034HOf+xyam5thtVrR0NCA6upqXHbZZWy7A5PJhJ///OdMTrnqqqsATPfuU+cnDX00mUzw+/3o6+vDt771LTz44IN44IEHcNlll6GiogLXXHMN2zVzeHgYiUQCHo8HnZ2duO222/C73/0Oq1evRjgcRnV1Nc6ePYtgMIgPf/jDeOyxx9DV1YVwOAyv14vR0VEmq9CXkRNCUFlZCZvNxt5+lUgksGXLFkxMTCAYDLKtlyORCFwuF6amplBXVweLxYKRkRGkUil87nOfg9vtxl/+8hfcfPPNbICjBE8IYfsD0Ygcntx5a5rO2nijgr+Gt7756/g2Q/OmacgZAvR3/phIWHxUEP8sxTTygZ5ZQj5Qul6LpS93n4WWR20hlBJ4Ys+X5EXIzbh47hGtfaP9PHPCe5GPw0Kvbkrz4fOTm0pbrVY4nU5GXnSZP38dHaVFp6zNZsP//b//l1l8/f392L9/P9atW4dvfvOb+Ou//ms88cQTuOGGG/D666/jn/7pn1BXV4dEIsHIhVqt/MpZp9OJ73//+/B6vXA4HHA6ncwCp6tuady6JElMUjl//jw2b97MHKyJRAIHDhzATTfdhFdeeQU+n4/p+8PDw2hpacEjjzyCVCqFl19+GZFIBGfPnoXH42EvL2lvb8fChQtRV1eHyspK9mrA6upqxONxpv+HQiGcP38eDQ0NWLNmDdrb2zE5OckGQb/fj6GhIRw6dAhnzpxhb+aijlL6QhRJklBfX48XXngBHo+HbeUgOlDlni//Ox/JRP/4dxHQ71TD57/z+fCEL1r+coODOIuVs+zlrlVqp3L5ideLaSm191x9Ra2960W+fVUNcuXRMksSI2OMhNyspBgDnIiSsOipdWOxWFiUCHVe0r3daYgfb13xD41+p0RAIy94C4se4xs5zVd8a7to6fNTbf47/0YnACxv2gn4FafxeBzPPfccNmzYgGQyiePHjyMcDuMTn/gEvva1r8Hn8+G6665jb7IC3tIs6SIpStw0n4mJCVx11VV46KGHcOWVV7IOR+Uleh4tqyRJLEJmx44d+P73v4/z589j/fr16O/vR2NjI9auXYvHH38cJ0+exO7du5l1b7Va8b73vQ9vvPEGamtr0dvbi02bNqGvrw/Dw8NsG2Wn0wm3243HH38c27dvR19fH2pra7Fs2TI4nU6cOHGCvSFqaGgIZ8+eBSGZFa10m2M6uEmShP7+fkiSxOSbWCwGm82G9evXIxKJYHh4GDU1Nejq6sKZM2ewePFi1o7kOoyStSSSsNzUW+56kaRpG+WtQdpeREterqPzbYc+N/4acfYgZwHy8o94Lp8Ofz/UmMjXolS6Rhy45I7rkXrkfufrsBAfgWic5SMHyR1XI3PaJvgyzUuipw06Ho+zxkgda9T6peTHkzu13GhnoR2C/sXjcbZ0nqbNW8IUdHm/0lScpk3LSh8MP7W3Wq2sPHTRE20o1AqMxWK46qqrkE6n0dvbi1gshj/84Q94z3veg7Vr1zKLFJCfYvLSA/28e/dubNu2DTfccAMLq+QdkPx9UPIBMvLAa6+9Bo/Hg5///OdYsWIF/vSnP2HZsmVobm5GMpnE8uXL4Xa7ceDAAaTTabz00ksIBAJskZPT6cSpU6ewdOlS7N+/Hx/+8Idx8803IxaLwel0Tnvvq9PpxNDQECKRCDweD3w+HxYsWIAf/vCH2LRpE0KhEHtO9Nk5HA44HA60t7dPI4vFixdDkiR0d3fjzJkzbBFYKpXCddddhyNHjrDtJYoNOSlEtHRpfVOIC7YAeSKg7TkWi7HnxreJXIQsykz8oMKvM+Dbcq609Qycs418ZvX5IF/LX6lsxajPkpBu6FJ5upkVv2ye7nGeSqWmLfaJxWIYHR1l+m4ymWRRHXTzq1AohHA4fBGJiFNNKgnwv0ejUZa3JEnsjU501SZNOxwOs/uIRqOYnJzExMQEs8Bp+pOTk8zi9vv9ePXVV3Hrrbfi/e9/PxYvXoxrr70W11xzDQgh7P550EYbi8WQTqfZ4qmRkRHU1dUxq59agPyWCfT++M5uNpuxYsUKSJKEoaEhJoXU19eDEILjx4/DbDbjwQcfhCRJWLBgAfr7+1nUz8aNG1lM/969e3HjjTfi4YcfxoEDB9ig/cEPfhCf+9znsGXLFjQ1NaG1tRU+nw9utxuhUAgDAwNYuHAhDh8+fBE50pkSffMUrQ+6DXIymcTExARqa2vh8XgwPj7O/B1er1dz2GsuqEkvPOR0dir18UaEKHnQ60SJiP7xm8rROqF/qVQKgUBAsUx0kKB1R9uVONPg6532P/6P7xda6yPXcbHulCz6fGQlsRz5oFApSivU7ttIlIRFT1dxUqtdnIZNTk6yxTxU3rFYLPB6vUwyoXuQp9NpZl3T0D9x0QwhZJqMI1ex1InHWzb0GqqTUxmFguZHOzgFlSk+/elPIxaL4Y033sDExAS2b9+OJ554Avfeey9++tOf4t5772VTbCoH0bLTKBVK4mazGU6nE2NjY3C5XPB6vexFHPQ6/r74Zf60TIsWLYLf70d9fT1z8LpcLkxOTuL3v/89Tp8+jSuuuAKPPfYYqqurcc8998DhcOCVV15hWwgnEgmsX78ev/3tb7Ft2zYsXLgQr732GjZv3gyLxQKn0wmn0wmfzwebzcakpNdffx2jo6OoqqrC5ZdfzgYrarFSHwiNpuEJ0WQywePxoLGxEZ2dnTh79ixOnjyJ9evXY2pqCj//+c/xmc98Rnb2pgdaJB6l47zEqCUNsf3JyUPi73a7ne1sKpc+HdCpoURfSUlfOmO1WqfN/ESpk7YXPoqIEj+/boHKknw0GpUX6Xc+eom/Z1EqpVCqN7GelBzV/HYWIuTKopZnoeeoOW3FWUexZiElQfRVVVUAMkv9gbdWNtKH0dDQAOCtRUc0NpySOLVWgUxDoC/KppKJXOXyWj19k5Ic+AZBSZfXO+lvYuOn50WjUbhcLixfvhz33HMP4vE4Xn31VXz2s5/F+vXrcffdd8Pj8aCvrw+VlZVIJBIAMG0A4a0wfqGP2WzG1NQUAoEAAoEA/v3f/53VEwW1imkoI10lGw6HWZTN2972NtTV1SGVSjG5ZXBwEA6HAy0tLbjnnntQVVWFxx57DJFIBFdffTVqamrgdrvxm9/8BitXrsT27dtx4sQJAMCCBQuwc+dOrFy5Eo2NjWzwpbq7x+PB5OQk7HY7Tpw4gfr6evT392P16tWMSOjCMErW1OlN3y87NTWF48ePo7OzEx6PB01NTTh//jwWLlyIz372s2y7B3GQNxpaSF8JRnZouXx4Y4MQgtraWtnBhxoFdFAQI8n4clLi598FkEgkWBujAzlNky4Q1GtZFyJf0EGGH6REaUoEP7vXE9aqx5BQ8sWI2nwxiL4kpBt+wyrg4pvlZRxeW+QbIdX06fn0ofIhc7yUwv9RJy//G5+WOOLKlUHuoRFC4HA40NfXhx/96Efwer04ffo0wuEwWlpacPPNN+Pzn//8tP1paGeh1ju10OU0XxoJ09PTMy10kkaP0PumWw3TekmlUjh8+DBbBLV161YAYH6MF154AYcOHcLAwAB+9KMfoaurCw8//DCWLVuG2tpaLFy4EF1dXXA4HMxyn5iYwB133IFVq1ZhZGSE7ZYpdi46qMZiMTQ3N+NDH/oQKioqcPnllzPrHQCrBypT8WRBt15YsWIF8xV4vV5MTk4iHo/jzTffxOOPPz4j+9Hz/g+tUgWFnAySSwrRI2Xwfg0+WIGmR2dQfIQRLw/Rc3hZib6Gkm5CZ7Va2UvsabgvbWOhUIjtqEr7i9yf0aAzivHxcUxMTGBiYmKabKsGJZKfKSmHwuh6KQmiFxsBP1XkSVu0OPjjdMQWOwsvV9DvYkPmnab8n5p+xp8jfqb+Aprm1772NXR3d7P94Hft2oX7778fX//615nWfOutt8Jut7P3sdI95PnGxUfzWK1WPPnkk7jpppvw6KOPIhQK4Stf+QqAt6wu3nEslvt73/seNm/eDEmSmBVttVoxPj6OM2fO4Ktf/SoaGxuxZs0ajI2Nsd0r77zzTsRiMVRWVuLYsWPsdYfbt28HIQQ7d+5EKBTC8uXLMTo6iomJCVgsFgSDQdhsNkxOTiKZTKK5uRmdnZ0YHR3FiRMncP78eQBgshxvCdJtFigJAWDPja7O3bx5Mzo6OuD3+9Hf349rrrmGSRT8cyuWc87I9OWIP9+0RYNJDAulv/N5iPnwAwbfjuh/q9U6bQdU+v4Ar9fLVnGLoav0j/+d9z/w5VQbCEVipobb6Ogo2821oqKCvQpTvFf+PtTAy4rxeByRSIT5BPOBmoFIjxuJkiB6nnD5P0DbC561dgI5i53OBJSWxOsBP2BQXXnXrl246aabkEwm8cwzz8Dn8+GTn/wkNm/ezN7z+vLLL2P16tXM8qKDEz940bIS8tamYSdOnEBrayt+8pOfMH8Bb5HRuuHDTWnHHBoaYpZ1KpXCiRMnsG7dOphMJjz77LNYtmwZkskkhoaGUFlZCUmS0NjYiCeeeAL19fVYtWoVamtrceLECezevRt79uzB8PAwtm3bhgULFuDQoUNwuVzw+/14/fXXWeil2WxGMBiE1+vFK6+8gtbWVtTW1sLlcrGdM6ksRzsUrVtq7dPBq7GxEWNjY8zBfe7cObz55puQJAnDw8Po7u7OSRRKVqbWPzmoTcmVflNKW2t7VCIL/nc5HbyQ9MXjapALglAqM/8nxwviHz+DpbOOuro6uFwuNDU1weFwoKqqihlIwFt9lQZt8Iaj2j0AYLNs+rY2rZBTKfJ51vmgZIhe7TslL966yXUN/zvvyBKtJAq+sukLtfmHoQV8Q6BRPk8//TQCgQAmJycRCoXwb//2bxgfH8ftt98Oj8cDSZLw8ssvo62tDel0mq0XoOlR7Z9KGXw0jdVqhcvlYro93T+eDga0PH6/H2NjYzh8+DCOHDmCF198ER/96EdZ57BarThy5AjWrFkDi8WCFStWYNGiRXA4HDCbzeju7obdbsdDDz2Ec+fOYXh4GAcPHoTJZEJLSwuSySQ6OzuRSqXQ19eHkZERrFy5Es3NzTh48CC6urpYhyIks83BxMQEc8AvXboUlZWVmJycZNN/KldRp1ooFJpGEEBGgx4eHmb18MEPfhALFixAJBJBRUUFamtrFUlObB/5/uVKU+tvam0yX1AjRukvl9VI61ssM5+2GJsvV27ajnnrm6YtSrY0Dzm5R44c6fm0XJT86QyD/q+oqJjm26PnuFwuVFRUsN/EyCbR30X/03bJR8iJ8o74XawfXlXgr6H3aiRKgui1jmy0cepxlujJn28sYufj5Z9coAR5//33Y8WKFRgcHMRrr72G2267DQsWLMBdd90Fs9kMj8cDl8uFnp4eZn3FYrFpDkR+ukhDO+muk1Ru2bBhA77zne/gP//zP9nUlV7X19eHUCgEq9WKjo4OtLa2YuXKldi6dSt+9rOfwWw24wc/+AH27t2LlpYWjI2NYcOGDSwiY8OGDXA4HKivr8fKlStx9dVX4/jx4/D5fOjq6oLf78d1112Ho0ePsheUm0wmnDp1Cr///e+xadMmWCwWDA0NMccqlXOqq6tx6NAhHD9+HJFIBCMjI6z8drsdJpOJbY9st9vZ8+DlOvq+20gkgkgkgurqakxOTqK7uxvnzp3DyMgI25CumNJNLmiZBRTStpVkDV6mzAdK5VWTN0XwkW/ibJ1PS46wlax7Wja5WZIa+LRE6VX0VdCZAg2RtVgszEdBV347nU7WNqkExZeZ/y7KjrQ8SvdrJEoi6oYHrXhqAShJN3xF5NN55awONQtNLyYnJ9HQ0MAiYvx+P9atW4dt27Zh9erVMJvNGBsbg8mUWcRFI0RoVAwfaUO3LKCNRZIknDhxAl6vF729vUwmogRK6210dBRWq5VF89jtdrYDZ1NTE5qbm/Hcc8+hq6sLp0+fRk1NDYLBIJqbmxGPx3Hs2DG0t7cjkUhg9+7duPfee+H3+/Hwww/j3e9+Nw4dOoRbb70V6XSaEezZs2fh9Xpx1VVXIRAIYGhoCCtWrGAvGiEksxXy8PAwfD4fWltbYbPZ2LmLFi1CNBrFn//8Z3g8nmmD1rvf/W5G2PStVG1tbbDb7WzDs/b2doyPj7O3TNHtKvQ4ZrWQhdo1csdzXcOfV6zBSLTi5WYRYlnktGTRkpezynNBbkDjf1Prc5I0XWrlyZJ+5wmcpif2cZHwxXtQuheepGmefH2IkV68I5xeS8siBnXwszAjURJEz0/t6GpA/saVdFUKOtUTGw//APmHT9MQHbn8efwqWzF9uXT5BhOLxXDjjTfi/e9/P4LBIAYGBnDvvffilltuwXPPPcd2ZXQ4HOjv78c73vEOtlslfROTw+FANBpl2z9QzZ5qjC+99BI2bNiA119/HVarFU888QSbhtJIB5PJhHXr1mFoaAher5ctHDOZMourEokEI2Gz2Yz77rsP6XQaDQ0NGBkZQXNzMw4fPoyWlhbU19fD7XZj9+7d+I//+A/s2bMHf/u3f4uamhrEYjF0dHTAarVi7dq1jKhvvPFGVFZWIhwOY2pqCj6fj73ir7a2lm145vF4YLPZEIlE2IIrSZIwMjKCFStWwGKxIBwOY9euXWz3TbpYi4ZR0qm+zWbDiy++iFtuuQUjIyPo6enBkiVL2DRey7Q4lxFhVCcU8yn2jCOXpaiUvzi7pe1clGPU6lYtXzUjS66MfF8VpSOlgVLtN2pQidfL3bOYjpI0KA6qNH0+QEI8n6+HeWnRU1LlrXe+YsUOwY/OhLy17awWK5+fKfBaoHgdTY+fZomDCbUs+FW1hGR2p/zYxz7G9nF57rnn8K53vQtr1qzBI488wuLA6VuY3G437r//fmat0q2JabmCwSCcTicj+29961sYHh7GqlWr8JWvfAWJRAJdXV0YHx9HNBpl+v3dd98Nn8/HZB9Jktg0c3R0FL/85S9x7NgxJplIUmYF8NVXX42//OUvcLlcWLlyJZM/nnjiCfzlL3/Bn/70J2zatAkHDhzAuXPnkEgk4HA4MDU1xTYyi8VieOSRR1id9/f344EHHoDH42F73jQ0NCAWizFy7+jowOjoKPx+Pz74wQ/CZrMhHo+zxXC7d+/G6Ojo/8/dmwe3dV334x8AJEFsXECCm7hZEhdZEqXIkizJViLLjp3YTlzXrZtpU7fTJnUmS9Opk3GbpZM4TWY6bdpM2iZptnqSOs5ix00sL4kdW7JleYlkSRa1i+IOEVxArARAEMDvD/ZzdHD1QMm2vr/R5M5wSALv3ffeffd+zjmfs1w4nU40NTUhkUhgdnYW0WgUTU1NEqn0p3/6pzh48CAGBwdx6623IhqNCn3V2tr6phfRm7UerbT7UgB6udrFtPOl7k3fh6ksmeB9MS3+ctOqF2tvxqGsG8/RSqX+/HLd2/8f51xKuyKA3ipZQZs4ullNNJ3Fyt+6FK3ZtBTmueTGCe70qGtuEThfs4TOQpZGsNkWHaChUAj3338/uru7MTU1hTNnzuDJJ5/EP//zP6O9vV2iXOrr61FdXY2TJ09izZo1cDqdos3Pzc3B4/HA6XQimUyisbFRhILf70dzc7NQL08//TRuueUWATEW/ioUCti1axey2SxuuOEGtLa2Sqy90+lES0sLurq6iqiQsbExtLa2IpFI4G//9m/xm9/8Bl/84helHPHQ0BACgQAqKirgcrmkJk5rayui0ahky/IZJycnZf/Zd7zjHbjtttskpj+VSuHDH/4wtm/fjjvvvBPNzc1C/eTzeTz11FNiDb3wwgt4xzvegS1btsBut2NiYkJCBWtra6VMAoVnQ0MDAoEA+vv78cYbb6ChoQEbN27EyMgIZmZmUFdXd4G5zflg1ZZa/JcC1kvx8perLdVXqWe0OkcDn1a2qIRZAblVn3rdWQmhtysQrGgoK0281H1a3Ydp8ZvXM69jfrdUM520Vu1SIgzfarsigN7qpZOb1WBrahamKWql+eumyx7YbDZkMhmphsjY20gkgqmpKUSjUUxNTSEejyOXy0kdGV0zx263C1CSQkgmk2hoaMDQ0JAkk/zXf/2XaLHhcBherxc1NTXwer247777JJW9rKwMmUwG8/Pzsu1gLBZDMpnEzMwMpqamZIOPYDAo2szMzAy8Xq8IKQqe5uZmTE5O4oknnhCOuqqqCitWrEBTUxPe//7346677sLf/M3fSNJWW1sbMpkM1q1bh1/84hf4xje+gRdffBFjY2O4+eabsWLFCtmUO5/Po7e3F+Xl5ZJsFY/HEY1GJdJnbm4OkUgEoVAIDz74oEQ+xONx3HLLLXC5XDh8+DA+8IEPYGhoCH6/H/fdd59EH9XX12PHjh0IBoOoqalBe3s7XC4X5ubm4Ha70dLSgp///OeIRCLYvn07Ojo6UF1dLXXsOzs7UV5ejtHRUXk/Ohrn7bZSpvv/q1bqOlYRMlbnXKqvoFT/ptDQGr/pTDVB66341ZYSUlqxeyvgeznmwFJChd9dKnhbWU6Xq11RO0wBsNQctHavNXq+YE3bLMWZab6f2vzp06fx4IMPoqGhAdFoVIqRRSIRCV3kdXRaN73wTOzRoVZ33nknhoeHUSgU8PDDD0utF3rrNf/vcrkQiUREkMzMzCAcDhdlg1KLr62tRWVlJb7+9a/jxhtvxI033giHw4GamhopNgZAuOj5+XnEYjERmsPDwxgcHMSePXvw6quvorOzE319fTh48CA6OjqQTCaxefNmjIyMoKWlBceOHUMikcDJkydlH1tuYbh27VpMT09LHDwjZVjOuKamRoSoz+eTpBWPx1NUv39ubg7ZbFae22Y7vymJz+fDqlWrMDAwgM7OTpw7d064drfbDQA4ceKE3ONVV10ltXUOHTqEnTt3YuPGjdi4cSNqa2vh8Xhw5MgRbNiw4bJrThfjvv9fXOfN+BpKfVaKUrKiMqxCJLleS/H/pawAKyFwKZSX/l/7NayEyFIavVW/Zt8X+45C7mJ9mc9svkOT0eD/3d3dl017uKKAXodNARcWZqIJaQI/J9nFtCrtQOK5X/rSlyQShcJA9wsU18nI5xfrrpSXl0sYFp2CDocD6XQaoVAINpsNx44dw6lTp3DrrbfKzlBzc3NSFI28sY4bD4VC4hzl81OA3H///fjJT36CZcuW4ciRIwKMPp8PPp8Pfr9f6o5wrFg7h7HmDA+rrq6G3+9HOp3Gl7/8ZaRSKaTTaWzevBnT09MSZ1xVVYVCoSAhjqlUCuFwGG1tbXC73Th+/Ljso8udrGj56H0FuDcsKTEmRjFEjRbB3NycJFBNTEwglUpJtiU5eF3DhSGhyWQSCwsLstH59ddfj2Qyibq6Oni9XuRyOYTDYYRCIXzlK18pmgsmAFBo6Q1M9HywAiET0KyOsXLQmcfrv9+q9q37WUqrfjNNa+46KOGtOF+B4vEygVnTRkv1acapl7Lozf5535ybur9SDlgrZ6wWNG9GcOh7txK8HOuenp7fLaAPBoMFxq9aaeZWXn4zllbX+16q6YF89tlnsXv3blRUVCCZTMLtdktxJv2iGJ5HzZhAzexNpnkDkIJho6OjSKVSkuwEQMIJXS4XksmkJEEtLCxIFUrSLhQeCwsLSCQSWFhYQDqdxujoqFSQXLt2LQKBAN71rnfh5MmTUsnQ4/FIwtTCwgJ8Pp/w2Ha7XQDTZlvcrzUUCqG5uRnnzp2D0+nEiRMncM8998Dv98NutyMQCMDv94sfI51OIxaLoba2VgA9nU5jdnYWr7zyCg4cOACbzYbt27dj06ZN8Pv9Umufz8Z3yLDLYDCIgYEBpFIpNDU1YWFhAdXV1bLnbCKRkPDT+fl5NDc3Y/369XIvkUgEo6Oj8Hg8aGlpEYqH1kM4HEY8Hkc4HMZtt90mwgc4X2uJFgYFvq6Oas6vUlqbOXfNz98Op28Ck26l5v/lWN8mUGotvtQ1lnpOq8AL/jaBle+lFChaadRWwseMaOE1rCgprVSWsij4u5RGz+voZ9Sau3mvWoj+zgL9xMREgQNrvmBqzFpz181K4wKseX/9cisqKnD//ffDZrPJJtiMQWfJ30KhIOGD+XxxTXf+rqysRFNTk+yqlEgk8MQTT6ClpQUVFRWorKyE0+mEy+Uq2r+UyUUs/sTJNTU1hWw2i9nZWbkOrYxEIoH6+npEb7wkbQAAIABJREFUo1Hk83mJRsnlcli9ejWAxdK1rGqZSCTE+cmyzcBiPRlW1WTIo8/nw8zMDCKRCF599VWsW7dOQhg9Hg+qqqqkVDLBvb6+HitWrEBlZaXUmWcWYqFQQEVFhQAno2n6+/sFmH0+n1SonJ+fR2Njo+QRcLwSiYQ4rylgV65ciUwmg5GREWzcuFF8GqdPn5Z3RHqsqqoKR44cwYkTJ9Dc3Izu7m6sXr1aaDjSUTabDQMDA6irq5MxbGhoEAc9KTs95/Qc1BFZSwmAUvTBxWgWK0DSrZSTdCnqw4pDLsXnW/XFc9+MlaABrZRf4WIAb94zmy5suFTTQlqPq6aN9W52Gne0ZbPU/Sw17jye1zOBn8Jj1apVv1tAHwqFChpAgfMDD1w4ia00CVNa68+1JgIsgl4kEsHXv/51AJCyxqSICGa8B4KH/jufz0usOymOWCwmjkJex+l0Shy83W6Xmi8EfYIca2cAixuncFMVPhcjWkgRUQv1eDxSJ4aliLPZrHDqtCi0hm+z2eR3ZWWlxLpHo1EcOnQI9913HxKJBPx+f1EBKp6XzWYxNTWFmZkZRKNRJBIJpFIp2Gw2JJNJTExMoKKiAldddRVWrlyJ8vJytLW1iQOaE9zr9cresPv37xcOf9WqVZKhSAE1MzODYDAoDm6HwwGn0ylOaO7l63Q6ZTMSCvRMJiNUTC6XQzwex8TEBJ577jnMzc1h586dWLlypdw/BX15eTl8Ph8AYG5uDnV1dRdw0qVCDzU9+GbbUueYHLk5/5fqx0pD5bka8EyFaqnrXIqVYlI+Vn2WEoJaObOiT0o9a6l+zPNLAbQ+Tp9nnmvijT5mKepGX1vfA+dNNpvF6tWrf3eBnk1TNpoT5G+92KwAX09YcxLl83n87//+L44cOSJgYrcv1nwh4NMpS+2QIKH/1tonaYLBwUF0dnYKMLtcLiknTMAljWLWW6eGn8vlMDU1hWQyKfHvsVhM0q5ZJpaCwOv1igBwu91Ip9OIRqNCDXH8WE7A5XIBAHw+n2SQ5nI59Pf34z3veQ/cbjc6OjoEIJm5Wl9fLzQNAZa7eVVUVEjMvtvtloSsmZkZTE9PS+liOqnLyspQX1+Pa6+9VhKgPB6PjGk2m8Ubb7yBs2fPyvN2dXUhGo0im82K1cCQ0VwuJxuxOBwOob1Iq5GGYi11vsdsNotkMimhsMePH8cHP/hBdHZ2Ck1ESoc7OpEi83q9cLlcYrXpect59nbapWqypY7l5xdb4yaoXayZ/V3sPkuFSpv3WOo+l/IFWAmhUuCtacNS/ZiUDr+zegZiEAV6qfu/FKuEGESgz+Vyv5saPf8m324OjI6y4f+6mSFeGug5iNrs+vrXv45kMmlpbhNA9QYKej9WABJSuLCwgEwmI1EgOt2egoG0BK2CdDqNXC4nYBWPx+H1egVUUqmUbJvI0gVzc3NwOp2oqqoSSiWXy0loJv0KLAmcyWQE3Hj/TCxzu90oFAqiQWcyGQSDQUxPT2PHjh0S7bN9+3b853/+J5xOJ7Zu3YqysjJ4vV643W4kEgkEAgGEQiH5LJVKSdkHZvoyJ4HPQU0bgDxjKpXCSy+9hNOnTyObzeLaa69Fd3e3FDtjSOvY2BiefPJJAMC2bdvEp0Hhxy0lZ2dnASxuZENLY3p6Gh0dHQAWE9AYUVVeXo7y8nKkUinMzMygrKwM5eXliMViePzxx7F69Wq85z3vAQDZcJzbGWazWcTjcbGO3G63AH9ZWRncbrc42zkPST/pKC29d0ApIHozQKzPKaUI6e+trsNjTarSFApWkThLWQSX+gyattTXsqLNTBqmVH86yILUjPmsTFQ0tXFeX4O77ldbLRpzdB/83kqT18ezv6uvvvp3C+h1eKV+mQQpHRlhZVqa5l2pv5lIZLfb8aUvfQmJREJqaFOTNOkajg9Bkn9TyyPfDkDi8pubm6V0AWvKk+vWdW1YuIs+gLKyMlRXVyMYDEoECvemBRY18Lq6OtHIk8kkfD7fBfuNEjxojdhsNrkPascUBozt93g8cLlcsj2gzWaT8sRlZWWoqalBJpMRQcO68vPz86iurkZNTY34BkiX2GyLteT9fj+SyaTcI98DAZbWD6t58vxEIoF9+/YhFouho6MDa9asQSAQkL5/+MMfYsWKFWhsbBTwZjLYxMQEfD6f+AP8fr9YObOzszIOfG8689jtdiObzSKTyaC+vh579uxBPp/Htm3bZEMYE/RSqRRyuRzS6bRYDKzHns/nxepj1jOjjHR0FfDmyi9Y8elvZj1bUQxLgbCV5m9qv5eaCHUp9AuB3qRfzGOs6BTzeUxeXnPy/Iw4o4Fe+wm0oFiKp9dCgc0qgZPHmIKCf//OAn2hUBDtSL9ULWmB8xsps+nJZ6WFaAqItdd/9atfSRYqgT6fzwv48BxWriNFQ+BjElWhUBDqgrQFFzcnBjl5fW8VFRXiaKysrEQqlZKkqVQqBbvdLqn7/f39aG1tRV1dndSFIThVVlbC7XYLqOr6+hUVFRK1QjoDgETdMNpobm4Ok5OT6OjokDGmM5MVISncrrrqKlRUVGB0dFQEXGtrKyKRCIDzYZzkuCnMCoXzO4Q1NzdLaQObzYZwOCwAvrCwgPb2dqTT6aJ3Tj8HwTgYDAJY3LbQbrcjFovhk5/8JO655x643W40NDQgk8kgEAiIP2FhYQE1NTUYHx+XGjqMxEmlUjh48CBuueUWuVY4HEZ1dbWEluo8Cr5DPe/4TJrycTgc4qinLyWXy2FiYgJXXXWVlMjVGqcOSrjUZqXxX6wPk25YSolaqi+rz5eiKt6MRq/XkT5X/zYF1lJCRGv0Vs9sWkH6PvR3JmAD57f/pOVu5b/R0Xu6+Jl5bD6fv6zUzRWRGctGrbvUd7rgGTVuq4nJ480XrqU9+6B2qV+iw+GQRCg6aAFcsFk3Qyu54BmpQ+uAHDAXv81mk3hwOnOpRfv9fnEeMruVTplMJoPa2lrZro3PSQCPx+MC8szQpc+A/VRXV4umms/nMT09Lc5FCgxSHdRuWMubmieduSdOnIDH45HY9UKhgLa2NoyPj6OtrQ0HDx6UImgOhwPDw8NwOp1YsWIFQqEQ3G437HY7Dh06hJqaGqk+mc1m0dDQgPHxcdnFivOBteyrqqpgs9mKImJoWX3rW9+Cw+HA9ddfj3/8x39Eb2+vCG3Wu0+n01i2bBlGR0cBnKdKPB4POjs7pZzy6dOn0dnZKeGyzAMIBAJIpVJIJpOSN1BbWyuO9Gg0Kpo7hR8XNamcQCCAuro6hMNh7Nu3TxLDOJfeDD2j18elfG5SCBrgzDwAE+Q4t3m8lZO1VHs7/opSYY5WFsCl3ode6+b9mTuzmdczQ7s5lhq49XjyO/42M/35W/vpLjVc/FLbFaXR62ZqJvzf5AT1sTrz1dSOeJzdbpeCXtzxiBo7ATufz0vSEp2lBGlq/azpwhDKyclJhMNhtLe3y4IlyBBMyMNrIUTgZ8z9wsKCaMQTExNYWFjAwYMHcf3116OhoUGehxOGQEh6QGvBOlxMa6DJZBKTk5PiHE4mkxgdHUVDQwPq6+sxPz+PyspK2Gw2yWxNpVIS2ZPJZBCNRgVoOUZerxeTk5OoqqpCbW2tJHTV1dVhfHwc6XRaErUYgRSLxdDY2Ch+hGQyiY6ODgkzzeVyRbsE2Ww2oWK09RePxxEIBCSc8/vf/z5cLhd27NiBZDKJ6elp8RV4vV6p6FlVVYWKigoMDg6iurpaksGSyaQ8O3exosOX84DPzi3lKPQYAcTxpvPeZrMJVbZ582bJFQiFQohGo6ivr4ff70dra6v4b9guxtGXom6sjrcCzaX6NI/R1jHnmdmWAnYr4WPSMlaautX9WI1RKY2ec0z3xevQEjYpnFKRQpq6M0tgm89HKtXsR28wpIUH58rvnEav69rwgalJ6xdOoAZQBOL8Xg9mqbjiXC4Hv9+P1atX49ixY0WOMYI++9Ix3pzY1HCpgdJB5/V6RXPl9d1ut0TUEJQoPPRO9XxOnXwUDodRWVkp8ea8T16bGjfpJDr29F6rOtmnrKwMLpdLKk2ybIJOAmtvbxetg5rz7OysJFcxaiccDktpBda4d7vdSCaTcLlcSCQSUms/kUhIDSFuFBKPx9Hb24tjx47J+B0+fBgbNmxAKpXCa6+9Br/fj3A4DLfbLQBKpy/LIDBMlsJ2dHQUNTU1OHr0KDZt2oRnn30Wu3btEkssEAhgfHwcgUBA+jx79qyA+rXXXovh4WHJEiYoxONxsdLoaCUo1NTUAFi08KLRqPgCWltbMTs7K4rBwsKCUFmpVAonTpzA5s2bce7cOXg8HhmrV155RZzQa9askffAd6+TvNgohPS8J+Who66074mNWq0VYFr9TwFnWgC6XUx71+da8e5m09SRCealIlqs+uB9cay43ujb0qDP4AvTOW5F2VBb19di/5wnJtgD5/Np+KN9P2/HArJ8/itVoweKPe+c7Hzpb2aisGkpPTo6ikceeUT6IMCVl5fLCyKNok04muH5fF4oGJ/Ph2Qyid/85je44YYbJBFIm4kECS2gqDETpLWWQAdpJBLB2NgY2tvb0dTUJDwvJw6FELfgoxDQGgz5eZttsZgYwzYZhx4KhTAwMIDe3l7JKaiurhbtWZcuIJVBLZebolRXV2NsbAxNTU3yLNwFiwKHAgiACB0d2ZRKpaRufk1NDfL5xYQnu92OxsZGDAwMiPO5ra0NFRUVGBsbQyAQgM1mk2glFlMLBoN46aWXsGXLFuHW+XyknRh1w7FbtWoVDhw4ULQxOYU1fQyk4fg/wYbjMDU1JYuaCgHzGXK5HGpra8XymJ+fx4oVK3Dq1Cnk83kRtlVVVUin01i/fj1uvfVWeZdmqLFVM/lh0ymoNWgNoJquMfvQfZl0qdUx+nyTJmIzNXWNRRfzCVyqYFrqcytqRjt/S42j+ZkVjUQBqgWwFjZaySPF6nQ6RalyOBxYu3bt75ZGDxSbL6YJp7MYtflFbUVPTrZS5h6Pa2pqEpqDoMkJTN6eA06KR4fB8Te5+Pn5eXg8niJAoJDS0poAQE2Ux1Fj5GSoqamRzcNra2sv2H2KXB6wSMWQSiGg0JrgGHGBM8qH40grgMBM0NM/2jLgNZctW4ZYLFYUl68tFgI87xmAOFjtdjva29tx6tQp8XOwtDGrYvLZh4eH0drailQqhfn5eRw/fhxOpxMDAwNFCWQMdWQtn7q6Ovj9fnzgAx9Af38/Zmdn4XQ6kUgkUFVVBbfbjbVr1+Lo0aMyHjabDYcOHRI6jIIxn1/cjCUajcri10XeOG/KysoQi8VQWVkphe84xrScMpmMjBvf96lTpwAsaoDBYBBlZWWYnZ2Fy+XCM888g76+PrS1tRWN5VLryGwasPQa0IqFXm/6uLfTeN1L0fAvJjxMbV5TL/zsYk0LNTOTme+H60Q7XwEUYY4pOJd6HhN/rGhnKmrAYgLl5Rh7s10RQF9qIugB04Bumpo8louKg0Qg5/m0DHK5nIAhI1zYLxs1TYbyAec1Ui5Ygn8+n0c8HhegoROXcfAAxFnHkEUCKuPsddghNUjGqXOMGL7Je9WgzrEhVUCzk8KF/9tstiIgolOZlSa1r4BaJ60F7feIRqMy+auqquSZdSnoiooKobK41y2f5cyZM0LFOByL2yryXhmWWlVVJZYIE8dYc4egG41G0dDQgP7+foyPj0uUjN/vl3DHf/u3f8OpU6dwzTXXiAVEoUgHNYXx1NSU3DvrBPFapLqqqqpkzGjRMLqIYJxOpyWCSlcT1Z9xjtCyIoW0Z88ehEIhHD9+HGNjY/jBD36Az3zmM0VAobVD3bRw1qBipQTpuW5SIiaoLsWTm87SS73uUho+55p+xlJOWZ5j3ru2UMxwaVNQaMGnz7V6LlNwWr0HrnHdTL5f3x9QnENxuZmWKwLogWJuUYO6GSnDZk44LgLtnNQv1vSKAxAeVidoaU7NFDS8H4I8nWzU7iKRiGyZxwJi+fxidA0jUPisDM/UFRJ5vxQywWBQ/o/H4yIkAIhjsby8XGrMAOdDT3kcHas69I9x+XrsABTxhQQ/LpJCYTE7l6ClWzKZFO7a4/GIJszdpkjRMCqIGnhtba3QX9XV1cLj6yqYFEYswcywTe5o9Vd/9VdoamqSa9psNrFuFhYWEIvF8MMf/hDZbBb79+8vivChAOF4ZTIZ2TeX797j8SAQCFxQKnlmZgY226KjeXp6Go2NjUIdkXqJx+Oorq7G0NAQ1q9fL3kQHCf6fBwOh9Rbeu655yRJi8KPz0eFQM9/TZOYa6jUOtPJf1p71XPQBMBSYK/XDI/nPZjtYhq7eZ8XEwyl+jC1fBNUTdrHpILN/vRY6XspJdzYp87LsRJc2vHLPkzculztigF64PzkIJXAqA5z8lm9cAKSOTFNLp8Dmc1msWbNGvz2t78VsKeWDZyPoKD2rPn2srIyRCIR5POLYYpNTU3y3eHDh4VXzufzorHyGtS2NL3DmGveJ5231KQJ1qRWGCKpq2jqycLyCtTuMpmM9O3xeASkOM7a6tGaDIUQwYvXdrlciMfjqK2tRSKRkN+sjUPnJ8ef90Ltns5b+gk44clLp1Ip2VeXkS4E/4qKCoyMjOBb3/oWgsEg5ubmMDY2hueffx4ul0vmweDgoGjtrMvPxCxy5izHrK2kVCpVVJ6ioqICx48fh8fjQX9/P1wuF7xeryRchUIhEcQMhaWFR0dqfX09QqEQYrEYRkZGhGbic1ZWVqKyshJHjx6Vomqtra3w+XxStVNbYrqZVKKm2vTnbKbyotcdvzePs6JH9HHa4WvVrEDUbBoETRq21L2Z926l/Jk4QK1ZWyNUZKysAx6j+Xl9HU0fs9F61r5F+oO0taXH1aqfy9muGKDXA0jNW5s0WmvXL8SUhtphpvvmRKKG6HA4MDk5iXg8LlqmjtMnKPO6Otohk8lIyr3T6UQkEkF5eTmuu+46VFZW4sSJEygrK8O6detEIye1RE2ZfernIbiSwiGt4PP5pA47KRc9LqRueM+keHg9PjOfhVEg2kdBDZMLgVQJn1ePN8s+TE5OoqysTJynIyMj4ndgbD+TyEwqiXH/sVhMtF9aHaSL3G63ZOHyvtPpNJ599lmMj48DAA4dOoSpqSkMDw/j5MmTAtLNzc3o7++X7RsbGhqwf/9+0aZZr4cRULOzs3C73SLA6KxlqCy585mZGQFgCnSGhTKJjWM2NjYm9fQjkYhszOJwODA9PS3hlHv27EF9fb2Ekp48eRKbN29GOBxGVVWVJJhpcLBqBDPOD84rXUdFv0eTetGKkKkk8beVlk0Fi3PJvE9TQOh1pZU3k0IyLV3drACxlFXA87UjmdfX19HPAxRbAqbVoq1+/VxUcmw2W1HEnsYjht0SE3hNrhEziudytCsG6M1JZ5qPwIWFzvTEKiXltflFr/bU1BRGRkZQV1eHgwcPoqurC/X19dKXTlhguKPW6j0eD5555hmMjIyI5VFdXY18fjGT9JprrkFlZSXGxsbQ0tIi96LBjgtPPwPr0VBgEYiYncsJQOqCAEwBpicdm14sBGlaKxQ22snLicq687w3nWdAIGUCEsMcydXPzc0hFouhoaEBDocDPp9PwkQzmYwIAWr6uu4In42hq7FYTAAgm81ienoa+/fvR6FQwLFjxzA7O4tf/epXyGazWLVqFTZt2oQbbrgBMzMzmJiYQGdnp4BtNBpFS0sLkskkwuGw5AywdAKdwIlEAsBiNm5DQ4P8b7MtbvLC57PbF6uHMsM2EomIts8tFOvr6+HxeDA4OIjW1lYsLCxgYmICgUAA6XQad911F6677jp85jOfwUsvvYREIoHbb78dZ86cEf+EFuImAJiUjW5891Yx3HotWZ1HEDKbKWhMDr0UBaLnpo5UoYX8VlspgWJ+b8WDX8zPoXl44MLx1ePOvjifqbDp2ldsWmBQCaOg04Enl7M5vvCFL1zWDt9KSyaTX9DOUsA6XVpLVtOsZOQMG6kN7WgtFBYjS/bt24eZmRmUl5fj6quvxq5duySyhRJVF64iQAPA7OwsfvnLX2J2dla0c5ZNmJqaErO9trZWNHJOZq0F8BkIdpwUfNnMsg2FQvD5fJJGr2kgUjcUBnx+Uj0sBsbnombHCBa73S6x8Uz6YbVHk64CIJMyHo+L1tLQ0ICBgQHkcueLtPl8PqxYsQLAovOZNYUYogmgKBGtUCigublZsl/5LrXJSyH9ox/9CB/+8IeRTqfx6quv4rHHHsPatWuxbds2fPzjH8fXv/512XjlgQcewPvf/3688MIL+Na3voW9e/eKRr979248+uijUiCuoaEBhcKiH+Lll1/Gj370I4yMjKC3t1f8B/39/WhoaEBFRQX27t2Ln/70p+js7ERLSwvGx8fxzW9+E7lcDj09PZifn8ePf/xjTExM4Oqrr8b3vvc9tLW1obq6WjZtP378OILBIL797W/j1Vdfxfr167F161bkcjkcP35c6ho1NTUV0Wq6lQIFk2Jg00Bs0jN6PZn0jkmfase8vo4ZraL7Yn/80b4x3Xgs5wqP05a8fn6r65icvOno1N+biqLW4oHzljO/14l62kLhWBDAdTCIeU/6GXQAA//PZrNobGz84gWD8xbbFaHRa5MeKC5mppuVpsq/dYIVJ5GmOQCINpzL5TA8PCxRFwzr4y5Ic3NzRTHfhUJBuN3XXntNIirs9sW46enpaeFaaeZXVVXB6XTi6NGjuOaaa4pq3DO7lH2TMqF1wOgdVouMx+MAzqdIM8GGmiOFiTahE4lE0URj0TCOMR25TOe32+0iHEiT8FxeJx6PC63EnbgymQympqawfft2SRaanp7G+Pg4wuEw/H6/ZPTSPOWGKAytTKfTUjlSCxm+S97TzMwMfvazn8Hj8WBoaAgnT57E6tWrccMNN2D79u347//+b3z605+W8Mnvfe97ePrpp7F69WqMj4/jO9/5DmpqanDzzTdj3bp1CAaD2LdvH1atWoXW1lbZnWrlypU4fPgwfvvb3+K6667D2rVrUVVVhZGREaxevRoejwfNzc0iiBsbG8WqY0KYy+VCc3MzRkdHMTExIfV0nE4nOjo6cPr0aRw4cAB/9Vd/he9973v40Ic+hEJh0SGcyWRw/fXXI5PJoLW11XL+c52UalbaP9dKKc3U6lgrLXkpZ+9baab2b17fyrJYqh+tgWugtRJCmsLRn/FcLWx4L6RYqeSZvL+mr6wsMK3hayGmqZxSpWDearsigB44PzF1rLY2nXQMO1Bc1pNcuXmO5rr4P3nUvr4+jIyMSL0YLlhSBJTaBJ/a2lo8/PDDci/5fB7Nzc1Cfdhs50Py+vr6EAwGMTIygs7OTtl2j9SHnricQOTfE4mEbDUYDocl/FJPWnLZwHk+dm5uTjRZ3g/DO8l5s9olJxIdvplMRigIXbiNFTjD4bAIBW1uOhwOxGIx7Ny5U3aOGhkZkTowfE9cHO973/uk6BmtJF1cikKIz0ounPWAhoaGhAoLhUKYn5/HNddcgxtuuAG33347vvOd76C8vFz49pqaGtx0003o7+/Hjh07MD4+jj179qCiogJXX301kskk9u7di127dqG1tRUrVqxAIBBAZ2cnrr76akxMTKC/vx+BQABXXXUVDhw4gBUrVqCurg5tbW1obW1FMBjE2rVrUVNTg+bmZkxOTkp4Z3t7O15//XWcO3cOK1euxP79+7F8+XJ0d3fj3LlzcLlc2LZtG26//XaxXhhdlM1mcfr0aaxbt+4C0LmY85PHWDUKz0uJktHnaAtB9/1muORSvLppLZjau0mh8PNLaUtZO+acM++JmEMFRTcN5OY1LvZuqCRSoJgWhfmsl6NdEdRNLBb7gk7o0WaqnpQUAtr0efrppwEAw8PD2L17N1wuF44ePYpQKIRwOIyJiQlEo1Hs3r0bn//859HV1YVf//rXsh2fzWZDKBRCfX29cMPMbGWtcWrpU1NTSKfTEs7IOjEulws1NTVSHXFmZkaiL9rb2zE8PCwApScxQwA5YfTOUGzz8/NS+pcArikq5gRQA+czsWY8qR0KUZvNJlsXMtqHseC0SCh47Pbz++OSBqJlQJplZmYGsVgML774ojhN+VycxHb7Yup+f38/zp07h+7ubhQKBSlRzDFgqWHW4LHZFrNdaeGsWrUKvb29KBQKeP311zE0NIT3ve99yOVy2L59O2pra8XRWl9fL5TW4cOHsXLlSrS2tmL58uXYtGkTKioq0NDQgM7OTiQSCXR2dqKsrAzLli1DTU0N6urq0NvbK47t2tpaLFu2TDj6lpYWNDQ0wOVyob6+Hl6vF4FAQAR6dXU1GhoaMD8/j2QyiXXr1gl1RWrQ5/Ph+eefR09PD5xOJ06ePImuri7k83lMTU1hcnJSgN4EWVMLNZsVpaHPI8hpGtE81uzPtBJMOoLfl+rD5MutvjPv3bwn/dukFktZH2ZUmhYi+lyNM/raWrDqSEBan7ovTXmW8hnoEgw8zhQaNpsN9fX1l426uWKAHij2ZmuPtgYxXSK4oqJCtLBEIoGenh6p+e52u6Ue+apVq9De3o4///M/R3NzM/r6+tDY2IhbbrkFmzZtgtPpxOzsrIAa0/MZLw8Ajz/+ODweD7q6ujA3N4fu7m4MDw8DgHCo3HouFosJTeRwnN971OPxgM9pTj5aH6R0+H0ul8P09LQ4ZDWlQZB2OBySnUoaan5+XrJ02RcXN52szAjlszPyxuVywe/3i59AO5ALhYI4if1+P0ZGRvDSSy9dEDoGFPtZ9GdHjhxBT0+P3C/LEjB6iO8bWNRsU6kUwuEwPv7xj4t1cujQIbjdbtxwww345je/KfvTHj9+HJFIRCgPWh0HDhzAI488gp6eHpw7dw7f//738cUvfhGzs7Po6emRDclfeeUVfPvb38YjjzyC2dlZ3HzzzQglzUjDAAAgAElEQVQEAti3bx86OjrQ1dUFh8OBBx54ANPT01i/fj2Ghobwta99DclkElu2bIHdbsfDDz+Mn//85+jq6sK2bdvw/PPP4+abb0Y2m8Wzzz6LXC6HVatWSU7D6OgokskkAAiNlU6n0dPTUwRGl6rJLtU01WmWF9HvWR9v3oMVMJu8/1LX10KC6173sxR4A+c1ai34SgkLq7BF85nMgA/+zd/62fSYmVEzev7r6EECubZi9ZpgQAK/X1hYQFNT0+8WR6+BTjstORDmwND00ZOFC8JmswknnM8vpq6Xl5eL081ut8Pv90viSiaTwW233YYtW7bgBz/4gRS00oXIysvLxWQvKyvD+9//fjz55JOiSRcKBQQCAUmBr62tRTweR1NTEwYGBtDQ0ICzZ8+iqqpKNr0mRaS1JC5AZnRysWsO3mazCW1CQCRnyIzMQqEgmZq0Shg7zq0DqWXTP6ArLM7PzyMej8Pv9yORSIh1wmqO+fxijZsDBw7g1KlTci+0SIDzDibgPGfJTGQAeOqpp7Bjx46ilO9kMikObF0S2u/3IxaLSfRMoVCQEhYA8Nhjj2Hz5s0oFAqoqamRLGU+m91uLwL00dFRjIyMoLm5GS0tLaivr4fdbpctD8+ePSsWwdzcHCYmJjAwMIDm5mbZJP3IkSMIBAIYHBzEuXPnYLPZMDk5ibNnzyIej8Nut4vwOH36NAKBAM6ePYtCoSBz8dFHH0VtbS3++q//GqOjo5ifn0dbWxvm5ubkuqY2fzGTXq8dMwJGa5zUJq1S+Pm9GabJPpaiKkr5BtjMvkx/nNZuzfM08Go6ReMA/+c5OoqPn2nqhv48PW7msebYmEJK+9e0ssoABz322hnNtaKtdM7Xy+kDAa4QjT4ej8tNmPSN/gFwwcvW8e36BTMyRQsFnVClzTSHY7H65JYtW7Bp0yYMDw9LijuTeGKxGJYvXw6HwyHcrcPhQCAQKOKrXS4XYrGYnMviXzU1NRIFpGvga63AZjvPq/PekskkgsGg1GancOHk0IlX7E+blZx0tC5Y6oBRLAsLC1JDnbHtLPRFi0BHWFRUVKC+vh7Hjh3D7t27xRnFxCQz1Vw3XUOI/L/H4ymygljzI5lMisBLp9P40z/9U7Ea8vk8YrEYzp49i61bt+Khhx7Cpz71KfT09GBsbAwNDQ1ob2+XGPzdu3ejp6dH7vWmm27C1q1bcfXVV0vikt/vR1dXF/r6+rBmzRpEIhFMT08LZ9/V1YXXXnsNo6OjCAaDaGxsxMGDB7FmzRps3rwZlZWVeOGFF9DX14e+vj4RWKdOncK1116L//zP/0R7ezuuvvpqnD59Gn6/H4ODg2hvb8fOnTvhcrlQXV0Nh8MhAQIdHR3iU7mYJk+qTGvrZivVh9XnZjTNUsdyfug5rZu2CnUYsHlMqWuVug8rTND9mQ5WK41fCwITI/hsPF5bHVp7L3Vd7VdknxSw5jnsmzhms9kQCAQum0Z/ecXGW2ya57pUScYJXVlZWVSEytR+WHCMn/F6BD5dDsBuX4yL/rM/+zN8/vOfxx133CHx0KwceeLECezduxcejwe1tbUIhUKiJTY3N2N4eBhbt25Fd3c3gsEgFhYWEA6HYbfbxS9AQNScJpv+noDJzFTy5FzU3L5OUyucmAyfpHAAzkc3VVRUCL2jt77jxKW1kUgkhDqhBuVwOHDy5EnxVbDeTqFQKKoLxMZJz6QiPl9bWxvOnDkjCUsMoaSQ0dEJv/71r3Ho0KGid9vR0YGBgQG88cYbuPvuuxEKhRCPx7F582bU1dXJdRKJBK677jp897vflfpBP/vZz/DpT38a//qv/wqPx4ONGzeiq6sLb7zxBk6cOIGf/OQnCIfDuPbaa9HV1YXJyUns3r0b69atw5o1azAyMoIXX3wRv/d7v4dVq1bh0KFD+M1vfoNrr70W7e3tmJqawj/90z+hUChg27Zt8Pl86OnpQW9vL06cOIFDhw5JYte73/1u9Pf3i7Cbn59HOBzGK6+8guXLlxdpuktpysx9MC1E832YdJqmTTTtcjHBoilW8xwrmkRrrHpuaO2ZVqVOkCx1HxqoNTViCh2rpmkafX0dBGL2xfM0cFNo6fvle+I4W/k0TF+cHneT3rlc7YoAej0oWmKWMvMIAjrBSE8U4PwEmJ2dLeLKSHHwh0kp+hy7fXED7x/84Ad47LHHcNNNN6GlpQUjIyOYnZ0VSoe7Jp07d062A7zxxhuRyWTEWak396CWmkgkMD8/Lxw549qpwXIykTIhV84fatrUkHVWHSeg5rlNJy4tHVoOXKw674AChRmibD6fD0NDQzh27Jho/dwInBOV40PBxGdjAbVCoYChoSGkUin87Gc/Qy6XK9rZSlsurN75q1/9Cq+++iomJyeLaJ1f/OIXuPfee7Fnzx7xb7AUwvj4OH7zm9/giSeewEc+8hH09vaitbUVDz30EJqamnDnnXeis7MTFRUVeP311/HDH/4QDz30EGw2G+68805cddVV6O/vx9NPP41f//rXCIVC+NWvfoXBwUHs3LkTzc3NOHPmDJ555hm4XC6sXr0ayWQSu3fvljpGqVQKDz74INatW4dIJIK9e/di5cqVqK2txcDAAP7+7/8e3/3ud/Hqq6+iqqoKc3NzePHFF9HW1iYhwBrMOI/NdWGuJZPKMEFY8876GCthoqkKK4Gg+9Z9ck5qLdYEZc5dm+18TolJy5o+AJNa0YCsgdgEUn2etvI1znCeElfYrACfGrseAypDTEIEzle45XqmZWoqaUtZMG+3XREcva4DAVxYZ0O/IE5sbTaZWoWevC0tLUXlcfk5cF67YDkAThy+hHQ6jc997nOiZbGQVltbmxy3bNkycYbW19cDABobG3HixAm5Z4fDIZwwwyB5jwRC/q9L+9rtdqn6yBIIOpMOgDin9YKh0CNNo6/JBWWz2VBdXS2bdmvAYPlfnY7N38FgEKOjo6ivr8fMzIw4dvkcOqxS01RcGBQiHBeWHeD1M5mMbMbB53744YcRDofx8ssv4+GHH0Y+n5ea+ocPH8YXvvAF3H777di1axfWr1+P+vp6AdW77roL+/fvh9vtxsTEBE6cOIGbb74Zq1evRl1dHQBg37592Lt3L06ePIlbbrkFfX19GBwcRDAYxNDQEMbGxtDV1YUnn3wSExMTuPXWW+FyudDf34/Dhw8jnU6jr68PHo8HL7/8Mn7wgx/gox/9KHw+H8bGxmRbwueffx7nzp3D+vXrMTc3h69+9au4//778cwzz+Dmm2/G0aNHxUKdn5/Hnj17cPjwYbz3ve+9IGmITWuRpjVspWGb4AlYV5skyFl9Z96DGf1S6nx9v2b0i7nG9bH6XO07MK9t9fyltHr9TFrR0/2a1pH5HPo8/bzaR8K/TWFggroOM9a/L1e7Ijj6VCr1BW06mY0vTE9S8tRW2oqeQDqEiZ5t7XjRwoFaLyNBzpw5gx/96Ed497vfLZUD+/v75TibzYbW1la8/vrrqK2txdGjRxGJRDAwMIBwOIwVK1YglUoVlShubm6W8+k41RUmgfNhl+SnE4lEUbIT74/naA2afDktA25nSOFIq4Z8ezwel43C9UYrjGzyer3i71hYWMCzzz6LWCwm1gmwmE07OztblLRWVlYm9Wr0BuG8FwqmTCaD+fl5CU91uVwIBoNYtmwZ5ufn8dRTT6G7u1uKiXV0dGDbtm3YuHEj2tvb8fzzzyORSODXv/41PvrRj+Iv//Iv8Y1vfAP79u3DHXfcgZdffhnT09Po7+/HsWPHcPz4cSlREQqF8Nvf/hahUAgtLS3YsWOHJD0lEgkJgezp6UGhsJi9y0iZs2fPIpvN4pprroHH48Hy5cuRyWTgdruxfv16RCIRDA4OSmXLNWvWoK+vDxs2bEBZWRm+/OUvY3h4GM3Nzfjwhz+M0dFR/OIXv0Bvby++/e1vSxVU7mVrKim6ETi1NmyGIZsaL/vS4GNq61b0idVnfKcavEwLxLQIzLVdytFsAr3m1K360Zy6vs9Sz2M+fykrQLMJpmVDJoGWNnA+FJxz3epZNTYx+EJbEb+TmbF68PUA0AwytQkd1WFGd+impa2OMNATny+AVBA16TVr1uCRRx7Bv/zLv+DOO+9EPp9HR0cHgsGgZHRSu9Vx3w0NDWIR0EGby+XgdDoxODhYNEE7Oztl71Sew3LCfH5WQdTa2/z8vGTkMgoGgBTQopnIY7U/gI5QRuSQayT1wfIKLCPMPXG5MxJDIXWGaz6/GJbKSdzY2Ih0Oo2amhpEo1GxIKLRKLLZLDo6OqRW0MjICBwOB+rq6uB2uzE1NYW2tjbY7XZ0d3fjwIEDkvCVSCTgdrsxPz+Phx56CF/96lexd+9e/M///A8+97nPweFw4JOf/KTw3NzKsLOzE+vXr0c8HseZM2dw4MAB+P1+NDc3413vepfQSna7XWL5Kay4VSELljHZjADHBcpiZswYzufzmJ2dRSKRkNo48/PzGBsbQ2NjI8bGxtDd3Y1YLCaVNH/+85/j1ltvRTabxR/8wR+gsbGxqAyHVV0YHfmhmwYjq4gSfZzVerHScIHSwsb8X4O9eZ5pWSyl5JnnmNqwpopKPZeVtaH7s/JVmDSUFa3F+2ZiJY/VETf6WrquExtzdYiDpa71dtoVAfS6WWkCwIUgbnJ1ZiMgckGakQgcUD0hKVDInbNeTTQaRaGw6KDcsmULfvrTn2JhYQGbN2/GoUOHBMD8fj/GxsaQyWQQCARQV1dXpLkODg5iw4YNonknk0mMjY0VxbZXVFRISCiFAwGWQApAdmQyQYebllMjJ/h4vV4BCW0xFAoFoaTIH3LsGE1EeicUCsk9uVwuRKNR8UEAkEQhOse5mTeLh7HERCwWw+TkpByXy+Vw9uxZeDweHDp0CDU1NZidnUVrayucTif+5E/+BD/96U9lc3EWBauqqsInPvEJdHZ2IhAIIBAIYPXq1QgEAqiurkZFRQUSiYTQTEyi279/v2yq4vP58OMf/xjJZFJ2k7Lb7SLAWMmSlhKBns/EMeru7kYkEpEN0fmOMpkMamtr4XA4MDw8jFgsVrRn8JkzZzA9PQ2fz4eGhgZUV1djeHgY1113HV5//XX4/X5s2rRJhL6V1WqCFXBh+VxTQJQCYJ671Pq0WnNWFoPVuVYas9bS2awoE/3MZr+FQuGCcFBTAGhlUWvnpQQHx4JCFji/mZEG4qUUTl11lLk52vLSPkb+f7FxfCvtigB682WSFtEDyv+BC/ds1JqGGR5leso1baO/40ATPBle6XQ60dfXh9raWvzyl79EPp/Hpk2bMDY2hldffVVemNfrhc/nw8jIiJQnvuqqq3Dq1ClUV1fj7NmzOHfuHPx+v8TG8xra4UagZqkGOnEpCPx+v+yryjBJThSWRaWGT0czI4+oUdBisNvtUjYXWARcChSCsHa0ktJobm4WS4v0T2dnJ8bGxuDxeMRiSKfTmJyclGNbWlpk5yf2R5rH4/Ggo6NDKlZOT0/j2LFjmJubw86dO2WDj7q6OlRWVqKxsRGtra3YunUrZmdn0dbWhkKhgNHRUUxPT0vMP6tf1tXVYWxsDOFwGIlEQrTrRCKBZcuWoaGhQRYZE8bm5ubQ0NCAYDBYlD2dSqXw6KOPYuvWrXjuuedwzz334Je//CUCgYDsV7tixQqMjY1hdHQUVVVVWL16NbZt2wa3243XXnsNoVBIIr9qa2vxsY99DJFIBNXV1VIJNZ9fLB997NgxtLa2imUIFO/9yrltgq/WcLX1arX+rDRIDZTaIjTXrOaXrRzDpkJl0kcmwFtZA1YUjnmvWhCYQKz9V3rMeE0z9Nr0Tej/dRa/bma0DSOhtCLJNaktNJvNVrT3s5VF8HbbFQH0nCjaxDQdhKRW9KCbL0S/LO1gtTLnrH5r85EacS6Xw5kzZ9DR0YHrrrsOZ86cwZEjR9DY2ChAS/DkjlWHDh3CHXfcgUwmg9nZWUxMTGDr1q0IhUKYmZnB4OCgUD3Nzc2SZs+fmZmZohrzzc3NWFhY3NqPG2PYbDYJ/fR6vbILEQBMTk5KIlKhUCiqTDk8PIyVK1dK/6RBGPLFOHad4ZfL5VBfX4/BwUHU1tYWLShy7BMTExI7TkonFArB7/fLO4nH4wiFQli1ahUikQjm5ubgcDhkY5BTp07h3e9+N8bGxnDPPffA6/WKoNKcJ7BYRZRWByNcaD1xjwHy7Cwmlk6nEQwGcfr0afE7VFZWoqqqCn19fdJXNpvFiRMncPXVV2PFihX4oz/6IwEgau0f+tCHMDc3h6985SsYGRnBPffcg9raWuzZswfbtm0TIf7KK69g586dIlgef/xxTE9PY3p6WrKWa2trUV9fj6amJpmHLPcMLGrjJ0+exPr164sSCnUrRX3oeV/KkamBT/fL+WTWjDIbFQVzrWlrwwRu89641k0OvdQ1dXSdeW1TM7eygvSYaJyh4mGOrxZ2JvCbx2p8Mnl+XctL59PQ50iN3yqR7e20KwLotbZhOki109RqkmuNn2aVaQ6ZL7iUNqI/10CZTqfR2Ngo/DQASRBatmwZysvL0dzcjIGBAezYsQMDAwOw2+2YmJiQXaJefvllVFRU4B3veAfOnj2L6elpeL1enDhxQl40wyhvuukmLFu2DMePH8fCwkLRpiB6jKg1LywsYGpqSsIYuasVACkIxrh5r9crcfHctSkajcLr9RaNKycjBQmrNyaTSSnexk296UxmQa6NGzfic5/7HB544AGcPn1anJT5fB5tbW04deoUOjo6ivhjl8sluz598IMflOOdTqckDQEoqt2tFQIWbwMWC7xxf9dCoSAUztGjRzE3NydVJUnT+Xw+bNiwAalUCm63W2oehcNhxGIxeL1exGIxFAoFfPazn8XWrVvx4Q9/GDt37sTu3bvxzW9+E0NDQ2hoaMD9998v+QA2mw233347fv/3fx8PPvggQqEQ1qxZI+F2hw8fFkC32WwIh8MS2qfpPEZAMZLKpED0b5PepBNeg49umjYxwyD1GuH/GtTNNaybyafzGlagbfqfzOfg+dp3R4HFdW5F7Vo1fR9aeHEearzQ4K7HjeNpxTCwcdw5XlpDpzbPAAfTZ2DF47/ddkUAPWkCK5ONA2pKOAK6rgSnIw20KastAf0ZhYfmxgj8qVQK0WhUFmU4HEZHRweeffZZLCwsIBAISEYpNfeWlhb4fD7hhOfm5opiu6emprB//35Eo9GiZ3Y6nZKdWVVVhePHj2Pfvn2SYESzva6uTjarBiCRMozqIZXCXa8cDgfC4TAAyE5QBEdmYVZXV6NQKIjzkJtr63dAIcMwVWbkut1uzM7Ooru7W+7J6XQKxTE5OYmZmRlUV1cjkUjg5ptvRi6Xk6xTAmpFRQW6uroQjUbR09ODbDaLJ598EuvXr0dNTU1RHXud6cz5we0Ntc+BTlIu/urqaqxduxbNzc2YnZ3FyMiImMzchLy/vx8vvvgihoeH0dTUhPe+971FuwSVlZXh3//934XTv/vuuxGLxfDpT38a1157La6//npxqvF+f/nLX6Kvrw9PP/00IpEIbrrpJpkzBG6W4iDlRuFNq81ut4vPwQQVrbyYCpDWyPmZFfdrRXPyvetr6GNLacmljuP8tAJYUwjoY0yNuJRA0L48k8LR61+Pl6ZqdP9ms2IRSnHoZq0bWp2aMmY2u8lkaEF2uYH+ikiYAs4nKuiXpBczX4he8IyM0AOvgV4DOR2iPJ8aISUqgYz/OxwOjI+Pw+v1orGxEU888QS++tWvYnx8HC6XC6FQCFVVVVLa2Ol0IpFI4MSJE2hsbMT4+DiCwaA8XzKZxF133YU9e/Zgx44dmJubQ1VVFTweDyorK7F8+XK0traK+R6Px3HHHXcI//3YY4/hhhtuwLlz5/DKK69gaGgIkUgEs7OzqKqqQllZGWpqasT8I+AzaoROWdZLn52dlTDBmZkZqTXPcFBGcnC8uGG22+0GAESjUUxNTWFhYQGjo6MSkTI/P4+PfOQj+NrXvob169dj586dqK2txe/93u8hEomIc5O+AFogp06dQnd3N15++WXZpJs1/fUm7ozXTyQSUr6BdAp9CKyxT5orEolItM/c3BxmZmbED8FKl+FwGKFQCBMTE5icnERTUxO8Xi+qq6tFoeC86OvrQzqdxr333ouJiQl4vV783d/9Hf7yL/9SAJZc7Lve9S5Eo1G85z3vQTKZxOHDh3H69GkEg0EBbjrU4/G4WA6FQkGS1ebn57Fp06aLUgQ6fV4Dn25WtI8+h9+zT+3LMrl1DZ7mD5sGUp0cZH6n+9H3RCWDCpdpeXPt6nvW1zbpX/NHP4/u02q89NgQJ7TwJC9vdS75ej6rjpKy2WxFvjodZXi52hWh0dMU06Bscme6aU2eTQ8cX6KuhU7LgE5JfT5jzklJ8EX+0R/9Ee68807hzYDFlzc4OIif/vSnsi1eNBpFTU0NTp06hd7eXoyPj+P06dNwOp3yPB6PBy6XC5/85Cfx29/+VibBI488AgBSaGv79u2IRCKSGfrJT34SFRUVSCaTuPPOO/G+970PDsfiJtZjY2MIBoPo/L9aLDbbYibwgQMHMDIygoGBAYnPZbaspoDi8TgaGhpEUwcWJ11dXR1SqVTR5uNcTCzaRj+BnujU8p9++mk89dRTuPfeezE8PIx77rkHHo8HfX19CIfDuO222/CNb3wDW7ZsQSaTkd25ampqsHfvXvT396Ojo0MEEyNgWCKY8e3U9HWmLHA+hplcN/0UyWQShw4dwunTp0VRyOfzWLlyJex2O3p6ehCPx1FTU4NkMomzZ89i27Zt8nyZTAb/8A//gHe+851YtWoV9u/fj3379uHuu+/GfffdBwB48MEHce+990pYJZO4SAVt2bIFkUhElBoqG08//TTuvfde1NXVCcDpOUclRVu2Vpqo6cfSTXPM+vxSTYOuzr7WY21q9BpUdT+cK1aWgKZN9POYAquUZaGpFD1G+pr8XHPkAC7AEf0MpcBWW0imUDCduDxebzTE+UrlQWMUy4lcbo3edrk7fCttfHy8QJMGuDAUTGvhQHEChjaVaArxOJNL06YypSo1RaBYw6CWZb68bDYLj8eDBx54AKlUCu3t7ZicnMT4+Dja2tpw9OhRZDIZ1NTUoL29HYVCQbTumpoarFmzBg8++CAWFhZwxx13YMf/Jekkk0lMTU2ht7dXIl2owZLL0yUb9KIl/6cnudfrFSfxwsLiPqW7d+/GwYMHUV5eDq/Xi5mZGTidTsTjcdns2mZbrGUfi8XQ2tqKRCIh3PsvfvEL4ePNhej3+8Up29LSgt7eXoyOjuLGG2/EyZMnhYvevHkzvF4vTp48iccff1zCJWkRlZeXo6+vDz09PbIlIbNF6SOpqqoSP4PL5RLBSBqIpQfIbzOpbH5+HrOzs/jxj38sDmy73Y6Pfexj4owOh8MYHx9He3s7gsEg3vnOd6K7u1toFe5pm0gkikCC88hut0u5YTq5o9Eompqa8LWvfQ3j4+NoaWlBMBjEmTNnsHz5ciwsLOCee+7Bzp07RRhbBRyYDkGrpo9hs/JNLdVMAVBK8zXBWoOv1bVMesbqOysBwP9NQWH68kx+neuE70YLS/OZNI1kxfWb1JgWLPqH/jbN++t74vshXUxllOyDFkLr1q27bLUQrgigP3XqVIH11IFiLg64MLmCL0KHOXGATO6OdVRcLpckBmltn2BK8OL1qMUw5hw4PxnLy8tx8803Y9WqVZiZmcHGjRsxOjoq/PDw8LBktOZyi/Xhb7/9dkmGOnDgAGpqavC1r30NlZWVmJqaEg0+HA6joaFB9rAleHHCENwoxMjPcycqOoCouZDe4gRjlqrNZsOpU6fwoQ99CFVVVbLlH81IAKJdlJWVoa6uTmq0+3w+FAoF1NXVYXBwED6fD7W1tUilUujq6sJLL72ET3ziE9i1axfe//7344knnsA73/lOrFy5Ev/1X/+FD3zgAzh27BgikQjOnj2LSCQinHQ+n0dPT48UTeOYc5MSakAcEy3MNXWgrQyGMdrtdiQSCYTDYXi9XvT29iIQCODo0aOSKxCJRJBIJMSfwY1AKisrMT09LdYfk+IA4PDhw9iyZQtqa2sBLPp3jh07hsrKShEmnZ2dwrfTRN+/fz9WrlyJW2+9Vfh9Pd9MwOa60Br8UutXAx//12ukVFuKNijF0fNvE/T5udbITXqHc1ufx/lg0jmaRrHyC2iKVwsc/mbAhgnEtFhKCSkrH6EJ9qRdtNBin/q+TMVUPzeV3UKhgA0bNlw2oL8iqBuCPCUcI1rIddLsoSkOFJt3WjIS5LRQYJieVcYtcN60oiZF8NdRGHoiVFRUoPP/4sZZW3zFihVyzrJly6TWjcPhQH19PQqFAh566CF86Utfkro+1KgZW09ufmZmBj6fD/Pz86ivr5eEKXLxZ8+eRWNjoyQgMeqGWyqyMiKfPRKJFEWuMLqntbUVJ0+eRFNTE0ZGRmTcly9fjubmZikjnE6nsWzZMjidTqmX3tHRIQ5pct0LCwvo7u5GKBRCZWUl7rjjDhw5cgT5fB67d+/GCy+8gNHRUZSXl2PdunWYmJiQHcBIEdXV1WFkZAQrVqwocqi63W6ZG0xS4hwh18/3Sl8CC8dxfs3NzSEUCsHtdssOYsFgEOXl5UgkEhKySW7c7XZjaGioCHyZA8EcAABoaGjAihUrYLMt1tR/5plnpFLm6dOn4Xa70djYKKCVSqVQX1+PLVu24L777isqQKeB3AQdzs+lAEk3DWZWFgKbFY/PtcN+dONY0yImDaEVKX0PQHFIoxV9QyDUFosJkLwnrneGI5ucP69FYcF7NbVzLUh0SKUulcLf2iGvx4GCw6Sz9PnEKG1NsLCgfs98bh2tc7naFQH0BFECRi6Xk8gJapj5fF6cisD5l8UXxogTNiuNwvxMZ5RqHj9DXn4AACAASURBVJ8vn7Hmc3NzmJ2dRXV1NbLZLIaGhrB582Y89dRTSCQSGBsbk00xnE4nRkZGkEgkZJu8fD6PDRs2YO/evXj00Udht9vR3t6Ow4cPY2RkBL29vXKNdevWIRwO43//939RXV2NDRs2CND5/X7JnC0UCjh58iTq6+tFmAwODiIUCmFwcBC5XA4zMzO48cYb0draKuPHDTk8Hg+CwSA+/vGPY9euXVI6weVyYXx8HIODg5LW3dTUhP3796OtrQ1r167F5s2bMTIygtdff10WGqmUffv2YWpqCgcPHsQdd9whDsLXX38d6XQaLpcLJ06cwPr16yUrmO+xoaEBbrcboVAIb7zxBt75zndiampKxrWhoQGZTEaESl1dHRKJBGprawV0uJhYtoARD6SvGC5JQVFRUYHJyUmsWbMG4XAY6XRaNof3er3izC4rK4Pb7S6iFOiYTiaTEklRXV2Ne+65R2LkJyYmUF5ejttuuw2JRAKf+MQnMDw8jIWFBdHegAvDFrViwqYB2ep48xhNRZhatmkpmM2KT9fXJlhZnWPSOKUoHt4X74Xv0Oo8fQ1aRdpZa2rvdrtdQlF5Hi1ezY9rC4F9mxy9pkRNXt7U1LW1xWvqfZv1u9N4o6km0o+Xs10RQM9BmpubE5Nc0yeUmFpSWmkzemHoF6DNef2iqBHq85hZCpy3MLjj1OTkpPBpXV1dGBoaQi6XQzAYlHsHFhd+IBDAwsLiHrIf+chHUFZWhkQigdtuuw2pVAqHDx/Gk08+ifLycgwMDCAQCODcuXM4fPgwfD4fZmdnYbPZ8Nxzz8mzsh6K0+mUpKdIJIJDhw6hubkZiUQCMzMzUm/H5/Ph0KFDWLNmDdxuN+6++2489dRTaGhowM9//nPkcjnEYjHR3BlvTu1lYWEBjY2NWLlyJbZs2YLR0VH09vZi69atuO6661BRUYEzZ86I43ZhYQG33347Hn30USm78PLLL6NQWNwR6ty5c7Io29vbZQHx+bghenV1NTKZDFpaWnDkyBFs2LABwWAQNptNolK405XP5xNQpcZLPl8vrlQqhe7ubvT29kqI5+TkJFauXCk5BC6XCx6PB62trTJfuMsUq2nyWoVCAYODgzh9+jSy2SxmZ2fFQU0B8cEPflDq2q9duxaf/exnhf7RgKNpK01/mHOcQtGKGjGdoUAxN2/Snhdbj+xX96P7MulUkyIyrQG+dw2CZqQN1z79dSYIa0DU92puLkThpu/BZrPJ+uRxZj9m099r8KfiwPelnbM6xJsKB6+rBYb2w7BffvY7q9Hr0DUARRqIlvrUwPjidDgmz+OgM5PU6/VewPnzWO000ZuTZLNZoVJI6zBWnvxtKpXCe97zHnz3u99FZWUlHA4Hpqam4PP54Ha7YbfbhZPP5XLYvXs3Vq5cidOnT2N8fFxKH7e2tmJ2dhZjY2PCIXOSjo+Py33b7XbU1tZKQg3D+khnEOA5+aampjAzMyPO2lQqhV27dsmkI0XFMMyysjIBvEQigZqaGrS1taGsrAxzc3M4fPiwPEsqlcLg4CD+8A//EI8//riMDwF2YWEB9fX1QmVwm8F8Po+WlhY89thjuOuuuwRY+X68Xi8mJibQ1NSE8vJyHDlyBF6vF93d3XjuuecQj8fhdDrR09ODmZmZomxZ1qPhQvT7/UUJZbFYTKgtYDHev6WlBbFYDOl0GuPj46Iler1eCR2NRCKizZsaGIU3I3iARVDJZrOor6/Hiy++iF27duGP//iPkclk8PGPfxxPP/30BVap5uJNgNcWBJsGS1OTJ3gQzLSGeanNar2wWWmzmnPWmjLPN+lUoDjbVtOi+p1qoOa1NEbwepx7HEczmYr3QIWOYGxl1WhlUNNk7I9jQwqZ96epIT1HzDHTlqdmIHiOKQAuV7sigJ4cGUEdKNZS+KLpMNVmjdYIzZfERc1JwmtpB0w8Hi/iywAI9zc3N4dsNouamhqk02kpV8AJNjU1hbvvvhs/+clPJDolk8mIFlxfXy916jlJx8fHYbcv7mTFCCBm3dLRyrouVVVVQh0xnryzsxPZbBZTU1NIpVKSQVleXo6amhqZhFNTU7IIWHyMTkCCE7Viu90u/D81WoLyyMgIRkdHMTQ0hLa2NgFsj8eD//iP/0BXVxcmJibEOsrnz29w7vP5UF1dLdsuZrNZnD17FrfccguOHz+OcDhctANWOBxGZ2cnhoeH0d7ejrNnzyKfz2Pfvn1wOp3wer1IJBIYGBiA2+2WMZuamsKKFSvg9XqxevVqdHd34zvf+Q56enrE8arzLaj9T01NIZc7X/yNLZfLoaqqSurgzMzMSB2b5cuXIxQKweFwIBqNFgEEQaCsrAx+vx8dHR1oampCXV0dJicnUVVVhX/8x3+UOam1Pw3wWqtnMzVkTYNoMNd+LlPzN/u20miX4vJ5Xf03+WdzDel70gJYCy5tHejEx3w+LwqNbub6ZuPWi/rZ9N/035nObX7HMeT4aLywGg8t2PRn+v2ZQkzjDwWaSaVdzOfydtoVAfQAisCX4M3/AeuCZKY2pKMVqLHrCcZjqP3RJxAIBC4wUxmJQx6WWilfaEVFBQKBAJqamtDT0yMRJIlEAtFoFKOjo3jttdfQ3t6OZ555RrTrqqoq1NfXo6ysDNu3b5eiWaQ+wuEwBgYG0NraKsKG1EhtbS0SiQRGR0cBQMIO6XRlWQLug0o6Z8uWLTh69KiUQOBCYhkGt9uNcDgs8foAhBZqbGyE2+3G8PCw1OyJRCLo7+/HunXrMD09jfn5eVmoIyMjsiXe4OAgKisrsXLlStx111144IEHcOutt8Ln82Fqagq33norHn/8cal509vbKyWgY7EYEokEJiYm8Bd/8RdIp9M4fvw4li1bhmXLluHYsWP41Kc+hRdeeEF2iHI6nejv78fWrVslJBU4H3lDWk7PG74TKhCJRKJIm+V4cGN41uJvaWnBzMwM5ufnZR9YWkjsZ2xsDNPT0+JPKBQK2LhxowCjtlTpXKSlxbmorVsTKPUxWgEixWNl/pt0DkGOPibgvJPRXJsEKA3S/I6hi1RWdNPrWQsA9kkriEoK/XLaSmLfvB8reon3wvdKgOe7134NDbjsU4+LSeVY1b+hYON4kM7R743RXhrPtObP8TaF6pu1wi7Wrhig5+BbTQTzezZzcLQA0GF3eoALhYKEMpKuACCauhYoWqq73W54vd4LnCucpB6PR/qihpHNZlFdXY2TJ08im80il8tJhAnBoK6uDg7H4sbi/197VxYb51W2H8947LEde7zHiWM3TdI0aYpKmq50QRRoAYlNKhICccNygcgNlKJKlVARcAFShQq9gIveVHAJSBVtBRJUJbRAUbaSNmma1a3jOPHuON5mxv+F/+f4mSfnswO/f8myvleybM9831nf93mX855zmOmxfft29Pf3o7+/Hx/96EfR0dERrpqbnp7GrbfeGoCUC6t9fX2Ym5vD7bffjsnJSXzlK1/B8PBwuGxjdnYWn/nMZ3DixAk0NzeHC8wZ2uBPa2srRkdHUSqVsGXLFhSLRRw/fhwNDQ2Yn5/HoUOHsG3bNpw5cwZXr17F5s2bK7KVuPv16NGjOHbsGPbv34+///3vOHDgQDgD5kMf+hB+8pOf4P777w8LmRRKhue48/Xhhx/Gs88+GxQuz80pFAoYHh7GsWPHQmYSc9x/85vfoK2tDe3t7fj617+ON954A52dnchms/jsZz+LXC6HycnJkFJZXV2NkZGRcIrlBz7wAXR2dqJcLmPfvn04cOAA3n777QAeO3fuxJEjR1BTU4O6ujq8++67gQepVL70pS/hmWeeweuvv45cLoeGhgaMjY3hxhtvDP0kvxJggWtvH4pZsJQJnvtDAI3lh8fe9XUuhhNeeOEFfPrTnwaAoLxZDn9ToRC82AcqANal615uzWsf+HcsBq+/VVkQdCnX3CPBZA3KJD0FKi61+h1I1XKP/a/E/rNf3ne22dcxtN+umNQ78PFZDVoTefTnzp1boOZVzUpazsV0d0wngf/TgqLQ0HJSV5FpYhRmHiiVyWRC1sX09HTIa6f1wQW1UmnxLtixsbEw+RQg5oM3NzcHa3pgYCDk2g8ODoZz52tra3Hx4kXU1NRgy5Yt4fKSwcFBXL58GVNTU+jp6UGhUEBzczMOHDgQLrHguTUA0NHRgfn5eQwPD4dc7vb2drz33nsYHh7GxMQEhoeHMTY2hqamppCOyOsB29vbQ/YThZ6xZ3oU3O36hz/8IWSylEolPPLII3jhhRewb98+FItFPPDAA3jttddQX1+Pj33sY3j55ZcxMTGBd955B5s2bcLZs2dx8uRJPP7443jzzTcxOjqKkZER7Nq1C/v378cvfvELnDlzBsXi4gFvX/3qV/GjH/0Iv/vd7/Czn/0MhUIhjNWuXbtwxx13YOvWrbhy5QquXr2KxsbGCmsLQAAFriPwXKGuri4cPnwYP/3pT3Hq1KlwiUh1dXXYZVwqlcKhaxq3pYX4ta99DbW1tfj2t7+NJ598El/84hfD+fu33nprMAJYP3mO1izBiBa6xp2d1JjRODfbFbNEnWLxeFcalEOXT13YXAnIXZbdiPN+eCjDy1cFoXKs3oyHcDjeHsrR9sfGS2Waxh6jBqp4+Kz3WSMKikMax9e+AKu7YWpNWPS6COExMZ0Mn1ggfjwrtTvLppBw8ZWfK1MBlTtpNaZLQSaT8EgEHnjFlNByuVyxaKeKgu3nwm9bW1sIozDcwXRAnuzInbB0/+rq6kK6Xnt7O3K5HB599NHgUXBX5dDQULhwnKdO3nTTTSgUChgaGgKwaBk3NDSEmPzU1BRaWlpw+PBh1NfXByADEO6t5ZEPXGTOZDI4ePBgxaUo8/PzGBwcRCazeKnG5cuXkclksHfvXnR3d4cc84mJCezZswfnz59HPp/H97//fXzyk5/EG2+8gdHRUeTzedx0003o7e1Ff38/amtrMTU1hfvuuw+bN2/GiRMnsGHDBtx8883IZDK4++67ccstt2BkZATV1dU4ePAgSqUSWltbceHChXBZSWdnJzo6OiouPWloaAjzBiyevjk7O4vW1lYMDQ1VnElTLi/tttUwA5XA/Pw83nnnHQwMDOD3v/89/vGPf6C+vh5dXV2YmprCxMREuMGKIRvyJnlZTzVkOMjDEsr7Gu7hYrmeVEpPUy18B/ekGLNb87oeRjn1d7RM/0zrVWDVdFPu/vby+VvrVouafeM8OZhylzhlWxWCegharz7L77jexeNU1PtnzN/XLNhPX6xWZU75+f8wvteERX/27NkFDjrbEzvTQ7cKx7SuWvHlcjlY3qSFhYUQq/ONDzqxtOhpEfkCTyazlOXh8VMyrVpUvByEB2kxl50TT4uRoSFu4OG57gDCpq/5+XmMjY1hbGwMc3Nz2Lp1K0ZHR0PqJ/P3ee7M1atXsXPnTuTzeVRXL55geerUKbz//vs4duwYqqurQ4gmk8ng/PnzAICmpiYMDAwExq2vrw857BwPplBu27YNhw4dCiGXDRs24Atf+AKee+45bNq0CX19fdixYweKxSJuvPFG/PWvfw3X+B0/fhylUgnf/e538ctf/hKXL1/Gxo0bMT4+jieeeAK//e1vsbCwEEIn27ZtQ1NTE+644w7s3r0bExMTqK6uxu7du3HkyBGUy2V8+MMfrrh5iweyDQ8PhzN/Ll68iK1bt6KxsTEoqdnZWfz617/GJz7xCVy6dAlPPfVUuKJxYmIC7e3tIceenzMraceOHeGSlUuXLuGJJ57AU089henpafz5z39Gc3NzyACjkuH59+QVHgzHTVkEeQVEPXZBrXmVFe4c5mXtDGN4CGS5xT+1sPm/f8/6NCyT5AV4fF5lkv1Q5enWvsovAZeyqeXw73K5XHF8h67JaLud+Ix+58pE+6X9ZEICsUX3BMTWEl2paHn/e3je+joC4dy5cwuMvelKO0GVgwxcey+kE5lcGYxMqLmzbiko8dwXChXDODzdUc/S0YUXAjGzYDiRFDBmvTCVkwxQU1MT7mCl9TY5ORl2vvKHCoiA1dHRgbGxMQwPDwfFxqwY5vG3tbXh6NGjYfcsNx9t374dr776Km644QYAi2GYoaEhTE5O4t1338XU1BQeffRRZLNZvPnmm+HmJp0HprC2t7fj7bffDuGQK1eu4K677sK///1vjI6OYv/+/fjVr36Frq4uNDU14ezZs+jp6Ql37tJD+M53voMXX3wRBw8eRENDA2677TZ87nOfw0svvYTJyUkcPXoU3d3daGpqQltbWzhQ7sc//jFOnz4djg9+4IEHsHPnTtx6660YGhpCe3t7SNtsaWnBk08+iW984xv44x//GHYSDw4Oht3R09PTIe2yqakJmUwmpLMODQ2hubk5nMPPi9jz+Tw+8pGP4PDhwxgcHMRzzz2H/fv349lnnw2Kl5e2cCNdbW1tRWaY8zHDiQQ3/k/+IyjSQIplnmhYgYClFr2HQ1xu1Jt1a1zl0cMefNbX3LQeyg15SQ05f9YXSR3U9ZmYl0951dRLluOgHlun0wgD+89wkBuTurbi6ySOY5Rrhkd1jPfu3bv+gB5ARcc54Trofo4ESYFQ7zzVRSBlOHWdSHxGJ1g3OiijU3OzzQAqLBEyGo9OoCvH9z33u6qqKliVftOMunNkolKpFHLfeQsRz6Xn8QbctMOzcDKZTACvQqEQcviZ7slt+cyUaWlpwfnz5zE5OYm6ujps2LAB7733Hqanp9Hf3x+O+y2VSuGc/ubmZmSz2WD13njjjdi6dSv+8pe/4N577w1HPNPKPHXqFMbGxpDL5fDQQw9hdnYWExMTeOONN7Bv3z688MILeOSRRwJQXr16NSwiNzY2YmxsDJlMBl1dXeE8o3w+j8bGxqCY7r//frS1tWF0dBTvvvsuLl++HFJXq6ur0d7ejtHR0cAfLS0tYTF6cnISra2tqK6uDgeZcd6YcbVp0ya8+uqrwYLct28fjh07hqeffhqNjY3hSOadO3cGoWf/df+IZoHR0CCwF4vFMI88EVV5naEO8p+CILC0CZDPq+es4QvKgf+tcsKFTQV0XzyNYYqGKVS5xBSBygzlNBaTp8fs9fnCJvvJ37GQkisQtsdDM1qG4ou2jc94u7gAr2PJOhkFYPuLxSLuvffe9Qv0AIK1A1SeQqfkC7Qe21cGdsWgz3tIRhnCPQydCF8U4qYZWuy6g5LvqpWj/aBFA1ROPhf91ELRA7po/TOMwAwEhovm5ubCOezMSKEAMbZcLpcxPj6OxsbGYC1S0EZHR3H58mWMjY2Fo4SZJcR0znw+j+PHj+P06dM4dOhQaC/HobGxEZs3b0ZtbW04YoChmXPnzoXY7O7du5HJZHDkyBHU19fjW9/6FkZGRvDiiy+iXC6jubk5KJ+FhcVDzqqqqoKH0tLSgvHx8ZDayfg029rU1ITBwUHU1dVhYmICXV1dIceegjU9PY1CoRAUbldXF8bHxzE3N4eenh709fWhXF7cQ9DZ2YktW7agp6cH5XIZP/jBD/DQQw/hlVdewTPPPIO6urqQ3jowMID77rsvhGMI8AypMGzB0Bi9P8by1TIn33GuCeDkC/IU51C9TgDXhBUUdMnPsewPt/w1bKnyyM9ie12SjDSVEU2QSAJdBdNYuCgprBsL3SjAqsXOOj0kpQouFv7hQjvX8PQZz7unnGgIR2V93Vn058+fX9CBZC4yXTuNcSUtoihzaCiF4ZRYjFBBWt3ImCvIsuliaqzU3TO3PNhOtWL4PwUxm80GYeXlGuVyOVy0rYs7tP7oXWzYsAFTU1MBxNkOKgLu5i2XF3eMMgTFjBK6nzxXn1kqk5OTYXfo5cuXMTIygj179uDw4cOhLb29vfjXv/6FmpoavPXWW+jr6wsXnlBRXblyBeVyOey0nZiYQF9fX4j3s13vv/9+yNN/+umn8dhjj6G5uRml0uKdta+//nq4XDybzYbFa164wkWyQ4cOIZ/P47777kOpVMLf/vY3ZDKZkJa5sLCA7u5uHDlyBN3d3eF2LKZ65vN55PN5tLa2Ynh4GJ2dnbhy5Qp6e3vDc9lsFnv37sXExETwUtrb2zEwMIDt27fjxIkTqK+vR0dHB3p7e5HJZLBp06awi7mjo6MCHAkG3DHd2toaeFA9TV0k96QDrjOQBwg47vkpH7lFvrCwEAwABSLWyYvlPUSjHid5XL9XoHfLP+kztglYyjWnzCjF3omFZry+WOjVDUIaAaxf1wU4RronQhdXNQMwFlUAKvf+6DiVSiV88IMfXL9Azw7TYtBsAHWRdDFVtaoCPIAKy0N30TLmSQXAetXy4STTEmP7dNIIuIzj6wYJoHIhRhUXy1DLX+OcrJcWOtcd5ufnQ+hID3nTFFIAIbQDLJ7zwo1AtP6oPMiMXAhjWxUEdJMZld2FCxdw+vTpAOgEk5///Odobm4OFjgv6iYYjo+PY2BgAFNTU9izZw9uvvlmnDp1KmTfbNiwAT/84Q/xyiuv4KWXXgqnl9bX16O2thY1NTXByr5y5Qrq6urQ09MTLPuenh50dHSgoaEBg4ODOHPmDKamptDQ0BCuEJyZmcH27dvR2tqK/v7+sDmsUCjg/fffR7m8dKXiDTfcEBRuXV0dbrvtNuzduxeXLl3ChQsXAvgODQ3h0qVL6OvrQ0NDAzZu3Ije3l7s2rULLS0twWK/ePEi2trawiFt3IVLcs8VQFgD4NxoMgLBnHxEviVP6zoCUAn0lCWVIfKgWv663qQyQP5W3tWyHKz5mcfyYx6EW8vugXtIx8fO4+vAkmKMhZgUhL0fWjZl0oGcOBNLIuF4qcJUz4VtcaN1NY8pXnNAr8ALJC+WAJVhDndB9X91mVRzx5gkNh7uRgJLLjCFSa1+jd/p+oIqAd0045tBuAtXsyX4DrN0uLmK2RWqjAj4agVx0ZGgoWfXUwGotcSQUGtra/ifykc30pw5cwaHDh1CVVUVWlpa8NZbb+G1114Ll24zjMQjgEulxSMHWlpa8L3vfQ8vvfQSbr/9dnR3d+P5559Hb28vXnnlFbS3t4eTPE+fPo2GhoZwdSMA7N69G6dPn0ZbWxu6u7tRKBRQX1+PhoaG0E8CLBd7qTQHBgYwNDSEvr6+kA7Z1dWF6urqcKwBPZ+uri50d3fjzTffxJ133okLFy6gu7sbmUwmZDrt2bMnZCnxCGR6BFx/uXTpEs6dO4eamhoUCgWUy4s3W42NjeHixYthXwRBXFN9eRFNVVVVAGy9gEZBQ61KzqcfrEVlraEfDe9QyfNKSk01jlnlGo/2TBjWyfYo0HtYKBaGYfmaPqqWb0xmHaBjyszDRFVVVSH7TaMFanhq+dqumMcSa4PiEBU026918P3VDN1kn3rqqdUq67+m8fHx0AhlXv6vg6ifEzg17DI7OxsOHeNGpRi5y0ZyRtQJVuXAWJx7Bdy6zTAMQzJ+lo+CvTK8Kgy1vtSSYQzX26ShJ6DyHCD2R11DLYdt5d8EZbq36inwZMj5+Xm0tbVhx44d6O3tDdkt27dvD0cmFItFfP7zn8e5c+dCfndVVRUef/xxdHV1Ye/evTh58iTuuusuHD16FI899hg2btyIoaEh3HnnnZidncWOHTtwyy23YNeuXaHtvAy8vb0dzc3NYSx4BIXeNVtTU4O2trZwr2xjYyNqamqwbds2lMtl3HPPPaiqWrxCkbuDGxsbccstt6CtrQ179uzBxz/+cfT09ISLYx588EG89dZbyOVyuOGGG1AoFELIh5fcqFfFoy8uXrwIYPEMe/IF1wV0hzGAcNYSDYKqqqpwbDKBiXKg/EyvjaCl86eylMvlQhs1REq50hAmUBk+iYFgzOr3MKryv4M1+T8W/1fgVJl2Q0gjARqeYt88tERyJUA5VOXkGBHrn4Zg9Bhqyq3KKMdYlbT2uaur6wdYJVpzFr1awyRlLP7v1jtQuUjKOKNmGMRcSQ2rkFFixNCPr+hrSIZtUOtJY3AktkktKDKVKi4KHC0vZ2LG8VXQlan5W29jYrt0Z6a2i+UwrU93lDIsQAVAIeK7mUwGk5OTwctg3vno6Ciy2SxOnTqFEydO4Jvf/GbwDhgWIKPTiuRnGzZsQC6Xw8svvxzSS+fn57Fjx46Q9TM9PY2HH34Y2WwWAwMDOHDgAPbt2wcA2LZtW7Boc7kcnn/+eXzqU58KWUdXrlwJ6yA8VVS9mS1btoR1AfIKL09nPJ+L8LlcDmNjY+EmKYZbePol+YMeIEFZrWnlSVrdMzMz4W4ErtUoaKhXScNAT1dUZa88wnmj0UK5IW/RCyK/anKDEtvK+lkPy6a8shwNX3h5CnYufw742je38mPkmKK44FEDHSMvm56SypgrUgAVV3wqqHNeyUO6rqZh3XW5GKv/qzXB/31COekEXw4OBdJDQGqduJKITaRasyRVNvytC0Mag3fS9qjLGHM/KSBkBgoYY7Bab1VVVRBy1s92sw7dwcl+8NA2WufZbDa4kwo66t3ExkIPdmI5DM/wfQDBLebGrUwmExb2dJwpBDxiWG/3KpfLOHjwYEh75GIpM30KhUIYl+bm5vAuN50xTk5FzIwb5RGdS4IWlT+tZPKHEkGO5bAsfq5rSrqWopv79F0NVyg/83IYKhHlL50nlRGVJbU82T6NC7M+AMFjJQ9qe1iXxrZjoRp+roaIx8N9f4v23S15zTdXr0H7wfc4txx7rVM9Yf1MeUF/OG8qD3xPw6Y+FgR2lqnrXM537Af54q677lrfQA9UXgQei4GRaBUq+TvqbvJ7/ta/dfIUKJVcGDzO5u1XJtH28TsFfZK6cnw31nYyjPaVTKeCyDCSLgZ5v3zTDS1tHQftoyottRJZrjK6hqfYdm4W0v0Fel8m55RHC9CbYPnc/MW7XQmoDONoXTynhoKWz+fDuUO0umjBMovJFbISQyYAKs4U57hQsKlM3VrXdHIK6QAAFXpJREFUOeYz/E6tP/4mUGs2DftGUFRDJgZgfJblqBer3qTyJhceOR96QJhTDOBcDl0etV1qGSuvuKGmlrQqCMcIfZfvx0A85qVomdoeVY5KsbIVp1SWY96D/q1hsLvvvnv9Az1QGX+LxfTUUgCWmFMXj0gxRmAdqsn5Gd/x9rCeGNB7+Qp+ag0pueIiKWN4e9R6drdQFQFJvQKPDypQaIhGFaOuE7inwz6qMlWlwP5r7Nf7onOtn6uy1/nMZDLh6ACWxVRLvWIum82GMAvDN9zQRaXBTAyuh7B89SpZjy5gU2H4pj6dPw9BqvLQz5K8Sp9XBxMHZrfcdWy1Tw7yLMd5h+W5zLAM3SQYA3jlDVWabtHz85gcaJ3OLyoDpJhi1nFU2fUx0vd80Tc2P3yOt8s55uj4qVwof6iMqKdYKpVwxx13rK9DzRxQlYGBa2Py/Cw2qepiqoB4CEJBUYVNrdiYxe+Wj7ZfrX0FOw2nOEPHlEmSRcO/tX/cUMO/eQQCXUT1dnx9QYVfn3Or0601bgRxD0vBiICoGUVOPj5av4KuKhB+xjNMtH26hsBUUQpgPp8PhoDyCA9n07Q7ABUgyLPaWa673Zoho/sr3NIj8XNXerGx0Xf8WeclD6P4+pR6iKqcY1Yx59MtZLfItR2UH28b+ctBlnVqHD+mILUtbvW7F6MKz42w2BhpW5I8bcoSn/G5IG8BlTIWk2PNrFFlyHHQ/1eT1gTQOy1nASuDaXyY3zkTu2saEx5lMlq0SQDsTJPUfpYDLAmdu6XaBrbNLTS1hv2oWmaUnDx5EidOnMCDDz4Ysn4Yy/RDsDReqL8VrFhXVVVVNIRDa1kVhTOoutfqMWn/WS73CXCcON469grOWg4XmjXkpIBCwFeeccXjazEAQrZUuby4E5YndGaz2ZDNwwVrYHGvAjczTU9PV3iVCiTsC8coZpl7Kp+Oh4O3e7luJbqi8VCjexCq3N1IohL1uXCvWIHQd3xzPnQePUTlQK71sA/8Xs+a8fF1A5H8qGOkvORjyvdVIfoYe7KFGijsc0wJab1ev3uHq0FrInTDIxCU3F0Hro2jEbhi4RNftASu3eykDK2umCoMZ2IF4yQAi7l4ypw+ibFJ9b6zjWoxlcvlCmuCCkrP1FDXVsdLx0AVCp/TRcRYe13AVLHytwOYEk/XdBfcD51SwWe7Y66/U6zPPn8cJ9YZiz2zDt2prYuUmczSIXWqsFT5qDUYswxjHhSfVdBkW2P84h6rekGuJNQ44lg5qMXmzJ9XsKSB4FaxrqtouzSUqLLHsFhM4etYuFzpeCa1W/fd6NjEgDf2d6xs8gNBn9jhoTIdd/7toTgfs9VcjF2TFj2wpH2BazMFgHicUq0dvqeC5Vaba3udHP3eLX7Wz8/0OGGN4zImHAuXaNnKAPqcMpVbvm4F8HlNcdP3KRC+mUqf1ZAC26y3GCnzs49qoXn73UNRC5aZMkwVdKbXMlVBO6Apj8TmXYFPMxqYAQQsAUAsf9sVO//XDXDV1dVB2HkMtoZJlHwx0+de69I5XCm0EeMZN0ScbxQcOSbaBveAY3PLdros8XPfrOihFwdAhtbUM1RS5egyqf1y+XBgpTHoMubkFrw/Q6WlcsPymYSgfKRlxeZEDbHVpDUH9Cog7pIpuSulTBtzsyiACrKx8n3CMpkMrl69Gi6m0K33DAPoVXCaZUH3XfPNHThYvwsVgV0Vgo6PWlD6HuPUSZYfKebSO3O5R6HEkAmFWa0jZW7WoZk//Ly2tjb8zxCb7kxUCxRYCrEoCHgIge2IhYw499eTNaLhFVd0WgY/owJWMNbxjY0h55zKVMfclaR7bUmejPKRb5ZiG6jwVQFSNhQU1XL3cWJZGtYAlg714pqPhhvdUNO+antUEWjIU9sb67t7JQ6mHAe+XywWQzv1OVVMnGddR+D7Oi9uJPoZNkljyP+1z76Wthq0JoA+Bki0OD2mFrPUNB7G7wCEXZicMF1JVyBntoaeYUHQ4Q/d82w2i0KhAKDSciTFAFPdVIY8XDkpqLMcd6+1HAcwdWt9Q5aPtYJQTPg0hOPtiPVXL17muOj3arHroi/byvmN7fbVdqnyinkRMVBNAnZtn4NyzDpViq0VxBQ5y3dr3evXG6S87fxbQ1oeYiFQ6NwkeYcKpvq9ygQ9PlWc/KFS8vmmhwcsxeHVs3G5U6L8qXemPOPjreOiG/i4tuQHIqpyKxaL4UhrnwcNx6nBoCmmOs6qSJ0vOafaZvV+3ODjZk0qIF+P+7/SmgB6Z1C38gi6MaECEDbn+EKVLox4PSRVBrHLQhwk3Pp2oVZy4aNQe0jKy6GgOSW5+d6+5chBXsfGBdBPCVQgUNIUQ7VkPOSR5GZrv31uWX65XA6nXV6PELjFpd6PzmnMyIi56Enk3tn1vhNTHkk8RdBMCh/wOS3flYAaF9oGBSF6TOR9VbR8Vq/j1O/JTzq2CljqiSoYk1/Gx8dRLBbR0tJScY9DTOmqdU6F4CCs7dZ3q6qqwi5lYMlSdwNNvQjy33J8wT7xXY9CqKen8q2GEPusSmK1aE0AvROBlIOvWpM7GxVsNYwRc5WUfAIaGxsrmIobQ9gOJRcMp1j81DU9sHQ8A8tku7SNbqVpXNSfTyIXEqWk2OdyzySR9tk3ECmw6rjFQgBqdcYUBcFHvRsl3UDj3lbSnLlFFqvfKSlkQvI4uf6t7VMe0NBATCmSF3RMvH3K9x720bL9fbf2+Zm2ScvX0IYbVG5IuKep2WDlcjnsXyDfqHfunofLCIBrNo95X9Tz4zj7mOoiaqx/7gVdj1Gkc6HKSZUVQ1yU7XJ5aZPaugzdKGkcTJmMmk8B3TNkVDhilqODA8M5LJ/kf8dcamUGB3NlhJiycEDi5z4Gy2WBOIjHXNUkYHMBUoXCcmMHZvn4qFBQeXHu+BzH2IUuBsI6zjFFEBtPHbtYWI/94zntPqZ8NhaOibVDv1dayQKL8SXbqGefuDVPQGBYwkEo1mYn5Q1/R8Hb++3hRR8zPhsLB2o7NKbN/5MUlpft86IKA6hcx9F+xLwf9wapzLjjl2CtBqSCsMuM91WVmso/x4if67lEOo/0TJYLNf63tCaAPmZderYKsDTxqiEZ83UwAq5lopgQuIXuAqSTTyZzoYiBz3Ia2d3npO+vl6hYXEhiZSd5Oq6YFFRi2U8xQeX3SRag1uOAwz7ElKQqMO9H0vzqmGgZsfCRvsM2Jo2f0/U+l/QMeUpTE/1ZXaj0uperR70p96Tcso8ZNAqWsbGMeb5JnuHCwsI1oRz+cJOfXnXo7db2LCxUHqtNoGa7uDbgISvlAZbHkHBSOC9msGkcn3Xo8SIqI+6tZTKZcHue18E4vYeRVoPWBND7wpCGKRQo9G8K48zMTAjlePaCLgYtJ5AxKzjJMgKu3R7tYRUHNyVtX6z/+sxKAKIu+UohK+2nlx0DVD9X3MfdPQAFUQqQuv/e7phFr8Ko3/lCu1pAMQtZFYyuRVCgl+MD79NKFFNAyhMekvJ3Y7zifYqFCq6nfQrQMQWd1C6Sh1AU9LiwGQMlVQraVq5PqceqC6jOQ16GenXuzVOB6MF8SR4M+6SWuPKZgr7ykPbP++0GI5/T8YvNi4d0VUmtJq0JoF/O6k4CBIYK+FtBngs++p66YUnAEnPDvF1JikAZx8twQfA+XY+r5q6yM61vUHImV2ubQu8grPFcZWTfvOIehAuPbjbTRVCWrfnaCpQxxcX6fNyTeCbpuZhy8neWU/L6rIKkjy3bq/3T8fUccS/HgYmfq4WrfdK2JylA1s3vWSfj5c4LruxVdtTCZ/t1Ex/5xp/x+n3uOS6xDBu+x70KWobeluXvu2Gm46Pjy/bq+oCOG3BtDN7xQefSF5JjoO3ehcv0atOaAHqlmJXhGpWf8RkuaOhEqQUHLMXG+Z1qWQV9TxtLignHAEcnyv9211AtZKUkT8AZ3Nu6sLC0I1ZBxykWa1eFl9Qv9V5cmVCxEshidSuAO1A5oFNxLQfqMYGI1esWd+x77cty3oWGGjS84HFh7a+Os88159Ktu9h8eNuS+pE0PpQNnbNYGq7X46AcAyPlzYmJiXD5ivZZ+TYmdzFZ8zlh/2jBsx8etnSvk2WxXjVctH06ftdrUTv/EGfU4EnyyFQJeqhxtWnNAL26u87cKih6sQFwbeqkn1OjzEIikPB7TgK9A3UFVeiSGEgZOGbtxcBbGUwt/5gbrwwZA2Cg8jA3r0Of9XhhDNhcwGKHoelYaGxV63PS2GaMtA3qFbhn5PPrgLyStc/+uXuvABRL11NLl88rbyiYJSk7NTjYT747MzNTcRuZ99dlQ/vifYyNAcFes0zYF8aHY0d+62+2l7zk+fPcY+L86iEzHWv3cHWs9HP10nXO1JjTMdKNYORVXRvgPHi6rvKbKweVb3rRWhZ5h+Op80V+8s1UHEvnw9WkNQP0Dqi8rNpBUPNvHXCAJeFRy8UtK7dafOFXLRmdwOUsTJavVq2GHJLIwd3P5gEqvRcfM/6OCbjHFRXg/D3vnzIhd33yO/9+JZczJuAKiv4clYv2U4Ff5yem+BwkYsRNOkoq+NoWpSSPxedcrUzf4avlkl+y2WzFHgsdK52zlfoVm09vpxpHfJ5t8LmKGSnK50meqj7L+LtepONt8zlzgyP2PMv3vsdi4+4RcF5mZ2cxOzuLTGZxkXRhYfGuXD3ML9ZGtdT13CdV5CobGgJimc7j+txqW/ZrCugVgJTpND0rZhG6Fa2f87eGNLQ8dx/9ff/M3Su3hPV/any+FyP9PpPJXGO1xIB0JYUTIxckBQ53z3Us9HNthwqiKwFvT8wlV2s6CUwYk+ViXcwL0br02rukcWF9PIdI289sCFUk3qaVxtp50b0Hf58b9oDKCy38TJxYPTGQ03pioSLth/7t1jDbqaEFf4991aQHbb8bA/QW3ADSjVranyQDR/ujY6ZGAP/38VGiEaPlaThNb47StQc+y37EQkQaitG6FRO0zQr6KxlO/w2tGaAHlvJr3QWOWQlJ76oi0ElQgHaLxj0CIB7rdBeYCoPeB5/R8znIHDMzM8Fq0PxZ/o4ttvlkX0/b/H0FRn3WLRstL6levqtjyfe9TUlC5nUn1UNrkbygx90qcGrfPOxAUsBw64pjr+DjwMx2UwBVWDUOy7FxAHAQVdef7XAl6dYoy4t5Y0lt8+9ZN/scM4Ria0ZJ60b8PqZAVH7VgODJnwTYmKHkc+dt1Hl0L0BJx8Jj4DT4NDqg/S2VSsHC1/mI8Y/2nc/7eogbQ14GF8bdsl8tWlNAH5vo66VYbFsHLMYgOjlqgSzXPi1vfn4e09PT4Y7ThoYGzM3NYXR0NBwfnMvlkMvlUFdXFxUajdGrYouBrjNTDCgd/PS7mAWoY6VjtJxV7GUkAeJK78fa4n3hWOg29CTlnFS2Gg4UYv8+qV8Oksz51rGqq6sLaX0xJajlaru9Pz5+tOpXsmz5HlBpvCTloq80Zv8pJXnZDm60oL0NSetq2hcdKy/byRWqWur6XsyAZF/c09Y8eW0j00x1zvR7eh16UbjuUeEzrCPmHa0GrQmgd6ZTxvFJS7IuYiESDdFwEHkIUj6fD9k6Kpy6OUWZKrYWwNuJ9Hnmwvb396O+vh51dXXhNiS+R4bKZrMVaaG68YN9V7ChV0CB8VingrmD9kpgSHLLPKZ8lwuPxJRMjFay+D2cxO9im2mSPIOYd1culzEyMoLOzk7MzMxgdHQUHR0dFe9T6HyNo6qqKtyupWBARaTPEaT8YgoFPa5BqUXPdvJyEz0l1Y2VGFDpvPk8VFVVXbP+4IpH+xuTtVhYJEYamlP58vYRHHWuFfRUgWndLIcATNBVa1mtdE+b5PvFYjGcRqu3h2mbPUTENUR6A0xGILawLerZ1dbWhrap0ioWi2FtRufL0zn/r7QmgF7pehkp9p67jrEYZz6fD64VB5NuJIXU1wc0PsyYJOvSExUXFha3q1+6dAmTk5MYHx/HwsIC+vv7cc899wSGqa+vR01NTVAKc3NzIR2Nyoj3UFZXV+Of//wn/vSnPwVFsGvXLnz5y1+OAmQSgPL//8S6TrKYKbwxi1Hbc70UA2oFiuWsNz4f+467Jl1pd3Z2olwuo7a2Fhs3bqxoh/YtFhogKOkBeDoGbAcVuIOozpNauW4tEhiAaxWWttXHYTkFHQsPKSWFYbT93l/+HbOeVXl5m9SAUa9GjSqvJ0YemmQfZmZmKhQw+0yLmu2srq5GU1NT1DjwMIu2h0rB+6zrPvx+fn4e8/PzFVdw6vErGpaMHWa4GrQmgF4ndrl4IJ9Nitn7577RxwVXT10Ero25kenm5uZw9epVNDY2hjr8EKqpqSnMzc0hn89j8+bNgdlyuRy6urpw8uRJzM7OYmRkBOVyGbfffjs6OztRU1OD2traAOrsX3V1NY4cOYJt27ahs7MTDzzwAI4fP46pqSnMzMxgfHwcTU1NoS8qKPqZkgt/kouYtF7BzzTcFHs3BtzXC/yqYD0m6+1w0NPvM5nFC8T9+FoXSgdR8ohnWxG0KaB+/aDHvnkHrZbtno/WuRzpMRzaFiUNb6hR4uPKZ73tK8nd9ZKHBxXEVcnEFnZjSiHJc/Tn2H/Osa+ZqEHmngvboDynfOJ183+9G8DDQiy7WCxWLLhzjubm5jAzMxOep3Gz0j0S/y2tCaAHKifWNW8sdpZEMStUmZ+f+9nm/HtqaipcHkJFUVtbG26LYVv0ICqWzztDFxYWwiFaANDW1oaOjg4MDQ1hbGwMhUIBzc3NyOfzFaEIBY9cLofu7m689957OHv2LHbu3ImbbroJnZ2dwaJMClkkjS1JLS4f99g48scXrNzKdCF3wXQrLQb++kxS22J989BauVwOdwwQuCnEsVAFy1FL3gWY7eN8KaCw/7F+8j0HPf1M50bngM8T7JdbtF/JYta2OJgkgct/cpKiKxfnMf9M253UDwfQpHxzX4dhe1QxX0/7WZYaf76JUueRXrrzDMvzsBv7UCwWw8GBupOWobrVPo9+TdwZm1JKKaWU0v8frY6/llJKKaWU0pqlFOhTSimllNY5pUCfUkoppbTOKQX6lFJKKaV1TinQp5RSSimtc0qBPqWUUkppnVMK9CmllFJK65xSoE8ppZRSWueUAn1KKaWU0jqnFOhTSimllNY5pUCfUkoppbTOKQX6lFJKKaV1TinQp5RSSimtc0qBPqWUUkppnVMK9CmllFJK65xSoE8ppZRSWueUAn1KKaWU0jqnFOhTSimllNY5pUCfUkoppbTOKQX6lFJKKaV1TinQp5RSSimtc0qBPqWUUkppnVMK9CmllFJK65z+B0pPIJ0Mceu3AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gray_light = np.copy(orig_img)\n", "gray_light[:] = np.max(gray_light,axis=-1,keepdims=1)/2 + np.min(gray_light,axis=-1,keepdims=1)/2\n", "plt.title(\"lightness method grayscale image\")\n", "plt.axis('off') \n", "plt.imshow(gray_light)\n", "# io.imsave('testl.png', gray_light)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Method 2: The average method\n", "This method simply averages the values: (R + G + B) / 3" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gray_avg = np.copy(orig_img)\n", "gray_avg[:] = np.sum(gray_avg,axis=-1,keepdims=1)/3\n", "plt.title(\"lightness method average of RGB\")\n", "plt.axis('off') \n", "plt.imshow(gray_avg)\n", "# io.imsave('test2.png', gray_avg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Method 3: The luminosity method \n", "This is a more sophisticated version of the average method. It also averages the values, but it forms a weighted average to account for human perception. We're more sensitive to green than other colors, so green is weighted most heavily. The formula for luminosity is 0.21 R + 0.72 G + 0.07 B." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IhaIGpgLEOtKj/2Xj3FUahOSWd9H7PRlGo88WRnSoUWSyToxYZopsHFmFhJHfrxyKVV61fIxUV4WylPWAUv/Mpd3nU1a5UHH6W29LzBAafaYYYLkK0RIjqxW5CGQt+ck1Gi1OGb2hJX6e/uY7gdYZfXqjUKZ2IaAmcPOtM9E/oFYvkx3OKOYvRp8USnuWS1/tOv5avr2radFq5zLRUGp1o3fYpxoueo3eiM4sPaGHZjBd66YY0FPLF/0DvPU12dZPvkqR3D3F0uzF33qnreV8oZ/VMII+k0BSqphcuSzRTMumovNpuJlGf72QSxw1dfxRIVJs4THZwkpvFFKQABPj5fl3ppZfPjH2WqxRuXyVfAyZ+oTWJTlyobF4BY+PeFG6X8vCg3JUkNzxTAxCIdqKIagbNRRySncxkeugUmxkWgqhkKFyhbjnYrJGeGHPf+uZfj7lMhJERU+0jvTMxwgwtKCfbpOhjCbg5TSNTJq8UXjhEi6EHNdrFCFrlHJkgtpeAVMZhhD0uVAMcr/lkMmczdYRmy33xh/LNU09obUO+HorVMPPly7TorUq3ZdvvrlA7XmzTTMTLSBq9nL5iP2u0KGX/EbaWsC/W7l+rDagaV3+QMyDT5+QjxeZIyS1NEsikVAtp1z988dNJhNLQ42y0lsmTC+VeQrCaFo+UHiuXI+0lTrSxQ45vnkqI1feOhtqT/yoXTdVYQiNvgTjoJiRDvlCDP/Umna+ZdBTy5dLM1NaSiGxYnqF4Om1QCnPXGm/bJ8h32cvZthjsWDYYV/NAy5CC12i5BHXC7mUsRDIJaIi1xC9bASrXNr5aEl8moUwdfMpT6ZoEq1pZQNRK6XrpWiN+AD0tQKyHQzz9f3wz6o2fyWb5890jxYZpSSbMg3OesOQGr2W/RoLlYfemGwBpIZCcvCFHvjkokuMWNf5aP9ywk9NiClB5MbVtNRiLZcgx9ercdaThUK0K7X6L1QbNqxGL4dcOohaWoV4gcXIRwmZYn0zadRygl+sc1FbLcaz5WKxGRm5aP5y12Z7f7ZrLOWrDGXSXLUOWvm822zbh5wFxFu7SgOhlvfAP7ec4xconAJqSI3eqMilwRlZ2+QhahlKZVaL4qDpiMe1CqLpwIUWGmLdq9WtmtY42XVdCGuykBYqRbEWhdNbXkwpjd4IMLrAzhZ0ViWgvREXyr+hJ889XSE3sScXv4qcZVAoqFmTkz3gGA2FeheGF/SZnElanCBqpr+WPHnkYloqlXmyhZio2cl1RiXo1Uknuw6mIkRhkO17EAdRtXepF5UgZ/nxSoZYNrky63lM6TzNXywvrSOz2aypTrTkqWQxF2LwK1E3Fzn4zp6r0C32fdMR+Tht+fsLfY+eoMLeiGvkqwl84OMB0Ihll4PhNXoRmQRSvo1XL+GjRj0UomNlo3mJjjk+oiNbh3emzZO1WFxGQL4OP6NQTfk4H5W2sCvURuNqk7uy0da1WKKZLHy5+9WWJk4mk7LnRQetXN70QzcTF/vgRUnd8FAaZY0GLfzjZAsEPZDru5jqz24Uoa6EbN8LpVDMZnMBS1U86BEtxH9nc1+2Clcu+eSCKUXd6EEz5JpnNpDbKCXfNPUC37j0GDCzfRdGFY5AZvokFy1ZbtJNPmHCme6l7zXX91uo2bTZ+H/0yiufPPg6yKY+sq27TH4yvTClBL04ezNbJyh/XGuFaqWKsrlHT2hdx1/81ovamupCPtc2pNd5vaEkNLS8b7VJWYB+e5kqUStyDttCDQjFZgaU8hMVgUzvIFdMKUFfwoWgHU8rz1loFHvgM+LgMRUhCholwVQoJ+RUoGTlYFRnsogpL+inagPRC8VYyiFfYVoSxhMx2dEuSpisvnSx9+FiwHDOWC1bdvHQ0xmYi/NF6Xih+XmlSAg1R2Em2kWpbJPdCcWoFqM7Q7OBXg45LRSSljz4bQnV0s0nEicbvl6ujebStpWOyZ2T87Ep0WC5aPNy9LMkSROinvRu24YT9CUUBpkGnukgNKcLJnMQU1uHhQc9pqdFKTeBKheohW1qvT/Xd5DPfYW0zg0n6PPhu7RoCtlq2np2OD21+WzyzMZhKP6eTKEzXbR2Jcg5yjPVf76WjZa2wG84roR8rTy5cmezoqPaMa3UmJIVILfMhHi9mkWjNYpGtBwKGX1jOEE/1THVBJNczP9Ue4aLAXoOelrTEQWeGo2jV7mMMLjz5ch2SYLJpjmVUBL0OmKyG2gJJWSCHB2jpklrbdOFWhNnsqGlDqbCto2Gi7oxUqXlQudk6wTKBrlsop6N+S1JEgsX01JmvTXMklWRGWq0hFydKa3VonR9NvmJyCXUkHf8imUSj2uJsxcdyYQQ1TLJ5Z/thLZkMnlBv9EyV4Dvn+IyJHq3f8MJ+hJyx1QXjlO9/NMVVEBlI/RLMBaMoz6noefkAyVnSzYcZT750TSK0THUwssymeYiN1rsDl2sOppO0PJ+c0lL7RqtWn0h8le6LtO94kxTvZ3X1Ckrt5hZtshWPmWDi0qjL9T0YjVMppZqBMeWFkyFMuaKbCK/soWoaRcL2dAbk53PZEaMGUl5MZxGX2hMxoufrMZW0pSnP4rRtgqpaWbKswR9MGUEfaFffL4hVIUun1aTOB+HphjPbTStZCpBDEuUC9mT++SCbIMDsr0unwlE+UAuT6Vjateo3aOlLyvF0tN7qTNWrgyZQkbFPlcoTBlBrxemu5arVyxypinwJVzcmC7tYqrQm/niohP0wNTZ/muyUApz1A96ae0llJAPDCfotUwrzhfZCK/JoGnkQLcuK+QgNVkrF5aQP/Sox0xpaLUWc428yURvqB3LROnoqbnnk47o7yiW/8Nwgr5YKGlW8hDD0IpRTyVN1/jQQxDlMgAYYQLldFBGJr8WBShprCaT6QKBoDbrT+4/D6WYdy3QslNMISFXR5noFjUHoNqaJkraVLZWkVLdTpajr9DIpKEqfXJFtm0912vz0ZK1WKNievk+l1p5eWUmkwOXLvIml6fWGcFa3nOh+sKUiaPXW+MrhGA2ilaaz7MZ5RlKKIFCLUKmWFBTVvglEOi14vdkKzJTStDnK7gyhWVNB0x2oyoNFBMxlduY3LIHcpzyVJk8Vcj85WbGiuzDZLYFw1E32UIrXZOtmZdtvnpdmy/4OO1c8i8J6qmJQggRLc5RpfaiN7eul6DU4tgtFPh+mUlO6V2mKSXoJ2MJg6mMyYiF15N3LqGEqQo1n5SW+/SWcVOGugEunskNekEvLagUV39xwQicuJ4o5PMQ8vEWgFpDn7UKez1heEGvxhNOJpQiW4xQNh65RrWoXZ9tQ8yUN+0gxYopnq5Q45GzFXa5aqQ8clmfHtCfj5fjytXqSVRs1Lh2SZJyWoNfrmxKeeoBwwv6iwWFGCR4vr4QOwDpkaacL0HP8pZQGBhRqSk09HpePpS5WDBkb1IbIdVi2NWQTYy9Fug94hbipfMWULblFbUaXtvWi0ITy8RvSJ1MJnPSlkooDrS2KT33k9XjumzbbS5BDdlMACyW37Gk0ZegCL24RC2T03jBIU5kKcG4mC48vp7QQpPxilMx6rAk6EvIGfnMLpZLR/THiD6ZklN4csG/n2LH0U8nTMacAEMKejVzL9c42GIIhkwOTD3LwFMaPOVR6Lz5dMRNxLU6cNWoHzlHWEmQaEcmbVKrkJG7ThTuhXwvSoN/pnasxbmpVgdyAR80X3EDcKX8xGcQ0+c5er4v0GOFoCsNKehLyB7Fojly6dxymnm+k9NKGv3ko5CaaT7c9WTPos0HmaKCcoUhnbEiChV3mk9lqo3WRkQ+s2UzpasF+S5fIXeO/2RTlumMQrZBOetN7b3msqy2WH6RyuM/1GEv1xbEcslp6LkgX6dwtsf1wkWr0U/HyVdqDZh2ALoAU6Gmk2cqW7amLr23BG3QgzuXS0NOyBv9vchRNhSF0pyNiotW0F9sER1KfGA+UNKe5PJW07Yy4WJ6T0aDkmY8VQSknDA3ggXIl6sYssiQgl5us10KuUrJpZL0issVr50MoUTN40wxy3pPSNIaBinX0bLR3rXU6cU2cOcKcRZyrteoUUT5OBP10LLVtHi183L5Z7KQqJMWuPC55QS53LFihFoaUtBPVeSqsRYTRimbUqfJR2O8mJ22+fhK8plEdLEhG4VCVIIms96mhDN2qmAq8f5TpZwlGAsXq5CnfTtbS1hOk58MTEmNXhxVM42yWqiebCkaLeUqJrJpgLyJqAdPr+czy3WEfDR1NTN9qkMPoSHWiZY0Cyms5GL3850TkM19Snw+pWV4eiZb7V7uW0sZ9MCUFPQl6Id8BLXekQtKg4/eDV9NcFws0CM6p4Spgykp6I2mhVJonbWXbd5yzh6lJWAz5aGnhpuvZSSnvWWbXzbQKtCmgq9Fq+Yt8sTFqkO9wL8LJW070/16WT4i365Ul1qWZxapnELX65QU9CVMfch14EyNvRRZkx1KdTU5oBO5jISSoNcRU0ETNBLEsDItVkghhX0m/8BUfq+ltllc5OM/KASmRdRNoeLoc0m3mM4sk8nEPkBuYXL8VHI9oJepzCMfzl6cHq/lXj56Si/KQw9k8wz89Xqi0PUw2YEOWpyk2dAt2dCThRyMSxq9jjCCMMgFRtBatc6uLaGE6YzShCkO2YZXUvDXiIIjlzTkyqXlumxBZwqLIZSiw4c/n0vol3hMTy1fLo9ctB2l/0rI1jksNzNysgfwXN+D2izPXNMuxmAr1/ayOVas8vF50T5K+6RYLn55Y9qmlBy20z68stDmmSjYJxNGdSzqFTI52fVLke9s2Yt5tm0JucNoFqghOPpgMIhoNMr+F2Nj6EK8BK3a32TPksuEYmlt4mcqohA8eAlTH1oUhGL6fwyh0dvtdkiShPHxcQCAzWaDzWZTXFxJKS44l1E0Fwem0n30XKaBKhfaSQvExc2yTbuQXP10ivootGAvDRy5Q0ub52Phs01XiW4RY+d5eof/lmMVivG+DSHoqWCyWCxIJpOIRqMIhUJwOByw2+0TKolfS1385itSFLZa+MoSSsgVpdm2hQcvByajXqnlKQprPbf+K9RzGUbQx+NxmEwmmM1mAIDZbIbJZMLAwAC8Xi9sNhtMJhOrWF6Qiw4QMTyO/pYT/iUUHpPJcxvlHZeUjKkNPd/ZZPD3hhD01CMtSRISiQQAIJFIgBACt9uNRCKB4eFhEELgdDphMpmQSCQmeLJpVIrFYgEhBIlEAvF4HGazmX14U4nmI/LEarsvaTX5JpOm0GudeUA/WilTtIfSeZGWk0MuAlTpnkK8L7VJWPmWPRMy+T5yibjJJKTUtFulddu1lktOm5ejSLRAawy8HOUi1oEYbSPeoxQxxkff8GkWwu9jCEFPK4d/WVSjD4VCEypkaGgIkiTBbrejqqpqAo9Pr4nH4wBSVBBNPxqNThhMJEli53lYrVaYzWZZM03Lhgz5PL8axHVuphMmk5OeDBqgUIEAk5X3ZGKyAxuUBi2jRd0YQtADHzdUOjparVYkk0mmwUciEYyMjCAWi8Hr9cJisaCnpwfxeBxVVVVMaJtMJlit1gnUTTKZhNlsZpsV2+12AJAdSROJxAWzTfnBRxypKZ0kQum42rNngijg5QS+HgOCnAZTbGh1WOsZCjqZwrJYQiHX+tJDy9SDy5aLXMlkachZ4vz1SveKbVAOck5YLeCVW16r15Pv52EIQW8ymTA+Pg6z2TxBC6cUTCKRgM1mQ0VFBcLhMAYGBtDQ0IDy8nJIkoRIJIKxsTFYLBbU1NQoxstTaoYKaJvNxigiuclI9Bw9L7dln5IQ4mmlYmM6aPzZUhS5QktnNhJK/H7+oIOWUt+Vo1oK0U74chQahhD08XicUSZUCANgWn0ikUAsFoPFYkFFRQWqq6sZR59MJmGxWFBVVYVYLIaBgQH4fD5YLJYJWjm9ntf8JUlizl86qlOBLuc3oGnSc/zAwYOuHUPTLjbU9tydqhDruCTwJmIyHd5TDfnUi1ahbDSlwRCCngrUeDwOm802QZOnAwDVriORCBO0VPASQhgH73a7EQ6HYTKZ4Ha7Jwh76qjlnVQi/ULTpkKaF/iilk7LRNOnefE0EX9e6bm1Qusm4PRa/rnkqBA5U1ZZ85wTAAAgAElEQVQsp2gdqcXoyznFlLQhfsAsNk+eydnOQ8v7EWmATPdpzSfbOsl0vZ7CRyuVoSfU+ouWAAk5f5uYrlL7V6N35JzMmYIH5NoJT+foXYeGEPSxWAyEEBYzH4/HEY/HYbFYEI/HGadOo2qow5WvTLPZjFgshlgsxhy5IyMjsNvtsNlsTMhTASxCiVOnAl/O288LXJFn47V9UcMulqOGf046WPJWhjhw0AFWDvzAx9cVP1AqDWpyfD8/SOairWeqv6mmzU618k4GJlNLLhbFp7RWTr4whKAnhCAWiyESiaCsrIxx9YlEAna7fcKCQVRbNplMOHfuHEKhEGbNmgWn0wmr1YpYLMYmXdE0xsbGYLfbYbfb2SAgjr5KnLo4oosDAi/ceJqHWhrUklDyGxQTlBqT2/+Svwa48Ll4bQOYODjw33IDolhf4sBnZJpJTQBPdsTHxYhsHed65lsIPj1XCyVbGELQ2+12JgwTiQRbCsFqtSIajcLhcLBrCSGwWq0AgObmZoRCIQQCAWYVuFwudl9XVxfMZjNcLhcsFgtGR0cBAD6f7wL+nBdi4nEefOcW75FbYVJOy5Xz+PNWAJ+XkqNXHKwyCctYLIYf/ehHuPzyy3H48GEcPHgQa9asQWtrK/bt2weLxcIGwvr6eoTDYRw/fhzJZBKLFy+Gx+NBNBqF3W7HrFmz0NXVBbvdjpaWlgnRSvF4HG63G7FYjL0Lr9cLABgbG2OWFyGpORHBYBAOh4PVgdVqZfMf1BxmmVAMgSD3HpUiOyYTekQlaVVUCkXbUGihp9QsSi3/M+WtlbZSc+KqRQoVos0QIzTEzs5OCQDT2Ck/z5dNdJ5KkjRB26f3x+NxJjTotYFAAG63G3a7HVarlVE6VqsVNpuN5aFF0IvnchEkcpyg3BKnPCfOgzYSfrDifQxyuPrqq3H11Vfj+PHjOHPmDMrLy1FRUYEVK1ags7MTDoeDRSIdPHgQDocDXq8Xc+fORTQaRSQSQSgUgtVqxeDgINasWYOOjg74/X60trbC5/PBZrPhww8/REtLC9rb2+FyuVBVVYXz589j8eLF2Lp1K95++2309PTg7rvvxuc+9zmcPXsWc+fOBSEE4+PjbLChcxko5ZYriqH5iT4JPt9iOUnVBkQ9BX2mtPQQ9GpabibBqCbo+W8lYS/y40oDudLAx9+rNhGKlpMyAOI1kiShtbVVt4ZiCEHf1dWlWAjKxVMqhgpXSZJgs9kmaNZ0MKACMhaLTajIcDgMu92OQCAAn88HSUpNmvJ6vYrUAyAfu6v2Xw30WjEyh883kUjA6/ViaGgIQ0ND2Lt3L0ZHR2GxWBCNRlFZWYnGxkb09fXB4/HAZrOhpqYGTqcTZrMZdrsdTqcT4XAYbrcba9euxezZszE4OAiPx4MZM2YwK8jpdLI6C4fDsNlssFqtcLlc6OnpQU1NDYaHh5FIJNDQ0IBTp07BarWivr4eDocDtbW1OHToECorK7F3717ce++9cLvd6O7uRlVVFQ4cOIBoNIrbbrsN7733HrZt24Zly5bh7NmzGB0dxbXXXosrrrgC3d3dmDNnDtra2uByuWCz2eD3+zE8PIw5c+YgHo9PGLzpu89Fcy+UoC1WXtlAj/7N031K0EuTVysvb/lqvYc/ryTo1TR88beYlqiV88qaXL7iPaKgp3JBkiTMnz9/egn6np4eKZFIsNBHcSSko6wkfTzDlQp2fharSKPEYjFYrVZEIpEJ1NDQ0BCjB2bMmIFgMIiKigpYLJYJgpdCT60+07XUiXz27FkEAgF8//vfx2WXXYYjR47AbDZj5syZqK2txeDgICorK1FeXo6+vj5UVFQwoUzprnPnzmHjxo04ffo0Dh8+jF27diEcDsNqtcJisaClpQUHDx7EZZddhhMnTuDKK6/E8PAwysvL4Xa70dTUBADweDwIBAKw2Wzo7OzEsWPH8Oabb+Iv//Iv8dhjj2F8fBwOhwPBYBAWiwUWiwUbN27EH/7wB0bjPPbYY/j3f/931NfX49lnn8Wtt97KKCOv14vOzk4MDg7C7/djwYIFePXVV/G3f/u3eO2117Bs2TIkk0nMmjULAwMDuPzyyy+wdnKleORM63yoIrX0JwMlQV88QS9aAkqCnsdFpdF3d3dLfLgdgAnOV56zBcAENo3ModfxAp+vfBqPTx25ZrMZw8PDE6gbuh4+nYnLhxHyv4HcNHqtkSRmsxnvv/8+6urq8Pjjj2PGjBlYtWoVjh49iuXLlyMYDGLPnj1wu904deoUhoeH8cEHH2DOnDlob2+H1+vFrFmzUFdXh2uvvRa7du3C2rVr8dprr2H+/PlsMP3oo49w9uxZfPnLX8aJEycQCARgNpuxYcMGJBIJuN1uvPrqq4jFYujq6sL69evx6quv4pZbboHZbEYkEkE0GkVtbS1GR0cxODgIl8sFp9OJ8vJyWK1WhMNhtLa2IhKJ4JlnnsHmzZvR29uL5557DnPmzIHL5cLg4CBqa2uRTCaxZ88eHDhwAJFIBDNnzsTbb7+N1tZWzJo1C83Nzbj66qsxMDCA++67D3/4wx+Ys73QPDz/ftTOGxF60DZAZkFeDEFP8xHfiREEvfj8mQS9EnUz7TV6pQ6jxJvzzkvq3OMnRdGKp3wv/c1HxdABQ+TN6OQsqvnS68W1brSUWatlQMvX39+PO+64A+Xl5ejo6JgQIbNkyRJ4PB688soriMVi2Lx5Mz766CO0tLTgpptuQjKZRH19PYLBIE6ePIk5c+Zg+/bt8Hq92LVrF2w2G9atW4dt27bBZrOhrKwMVqsVra2tiMfjmDFjBtra2rB27Vr09/dj69at2LRpE3p7e9HY2AiTyYRgMIhIJAKPx4NQKASn04kXXngB8+fPh8vlwsmTJ9kEt0svvRSRSAS9vb3Yvn07Fi5ciIcffhjPP/886uvrcfjwYRBCUFdXh7q6Orz11lu44YYbUF9fj4qKCrzxxhu46qqrkEgksH37dvzgBz/AvffeCwDwer3YtGkTXC4X62x6afS53m9U5NrHlThpORRa0CsdlxOw2XL0aoJe6b5MGj1VQOTyoWWUo3n48O9pJ+h7e3slILMzVAzpEzVsWmFUeNOYelqxVOvnl0Gg33SXKzpYBINBWK1WVFZWsqggtbJlKn+myVN0JF+9ejVqa2tZ5BH9ps9FJ5TNmzcPH374IR599FH8xV/8BSwWC+bPn4/29nbccMMNCIVCmD17NtatW4fBwUFs374dhBBccsklqKurw09/+lM0NTVh5cqVOH36NOPlx8fH4fF4UFdXx0JYa2pqYDabcf78edhsNjQ3N7N6stvtcDgcCIfDOHHiBDweD86ePYs5c+bgn/7pn9Dc3IxYLIalS5fio48+wsKFCzFv3jzs2rULixcvxrFjxxAMBrF8+XIQQuD3+zE2NoZ58+YhFouht7eXhc7SQXrhwoVYuXIlnn/+eSxZskShVRkDRhgIsu3jSsJJDdNd0PMfpWgZrYJeLIP4m8oCPQW9IcIrAW1CU6xkuXv4aBS6cxW/bg0VmDS98fFxWK1W2O12uFwujI2Noa+vj1X+yMgIC8fkzTRJkhglxDtR6Tm6giad2UuXeaCWgTibjvoHqMOVUh/UupAkCS6XC/F4HOvXr8e3vvUt7Nq1C263G729vfD5fNi9ezfcbjd++9vfIhqN4otf/CLGx8fx+uuvw2azob+/HytXrmThqk1NTXC73di6dSuuueYaJJNJuN1ueL1eBAIBBINBmM1mhMNhOBwONDU1YWBgAOFwGJKUcmTTheZGR0dx9uxZrFmzBu3t7bDb7aiursaGDRswf/58jIyM4O2334bVasW2bdtw4MABzJ49G9XV1WhtbWVWR21tLWbPno3h4WGYTCYWDTQ4OIjy8nIcPHgQlZWVeOyxxyYM4iVciFyVODHyhB5TSrOQIZVi1AqPbN+9Fn+MkmAWqWXxGrEOxGg5OS1eLj+eutEThhD02dAb4n2ZrqeCnwpL0USiHD3973A40NjYiLGxMcTjcRZa6HA4EI1GEYvFWLpU4NEPL8Sp5RCNRjE2NgaTyQSfz3dBeWOx2ASLI5lMIhaLTXA0A4DD4UAoFMLGjRvx9NNP4/jx41i2bBk2b96MP/qjP8Lvfvc7OByOCbOMaWTL4OAgy+/w4cOYPXs2Ojo6cOjQIZw5cwZ9fX0IhUJobGzE+Pg4enp60NnZicrKSjQ0NCAQCGB8fBx1dXVwOp0YHR1l1A19zmPHjmFgYAAHDhxAf38/5s2bh0WLFiESieCjjz7CkSNH0NLSgu3bt8Pn82FoaAjl5eUwmUw4cOAA1q1bh5UrVyKRSGBkZASEpOZL0Lrt7OzEe++9h1WrVqG7uxs+nw/d3d2YP3++oQW9nEAx8uAk0gvi8ckoTyEEXy5Q0uRzRTGfyRDUTV9fH6NulEZaekwuDFKrc1TuXrqJCYAJXD9/TygUQjQaRVlZGQvxjEajLOSPdwjSGbihUAhjY2MIh8NM06+vr4fT6QQhqZhxOl+AloMQgquuugoVFRVwOBzo6OhALBaD3W5HOByG1+tFa2srdu/ejSuvvBIAsG7dOphMJvT09KC+vh7RaBQNDQ0YHR3FyMgIQqEQXnnlFSSTSfj9frZNIyGpdYOoQ5vy7nQl0bvuuoutCEoHmfLyclgsFgwNDbFZzHa7HdFoFOXl5SgrK0N3dzcT3ufOncMdd9yBc+fOYdu2bVixYgXa2tpgNptRXV2NcDiM8vJydHV14Qtf+AKzpBoaGhCJRHD27FksX74cW7ZsgdVqhd/vx5IlS5jlEY1GGeVjZOGphEKXN5e+raY9K0FPjV4uHyVBr0bTqB2jmjNwofBW80vI3aOk0cvRRfx1cgMYzzYkk0ksXLhwelE3mSgZeow/nk8n4QcISfo4ll3O3Eomk/D5fADAtHlJkhg3TdPiBwmqwUej0QnOlXg8jvb2dkiShP7+foyOjmJ8fByBQAAjIyPo7u7GXXfdBUmS4Pf7cfr0aZw7dw7j4+PMsojH43jwwQcxe/Zs7Nu3D88++yzWr1+P1157bcKgQQX4V7/6Vdx+++1solhPTw9aWlqwc+dO+P1+nDt3DpdccgkAsAlLO3fuxODgIILBIJqamhAMBhGLxXD+/Hn4fD5GR/X29sJut6Ouro45acfHx/Hyyy9j/fr1iMfjGB4eZoMET5PV19eDEILKykr09fXh0Ucfxde//nUMDAygrq4OgUAAp0+fhtvtRkNDA0wmE/MB1NbWsvrn248RNNBskKslK6ahl6YplkeLJl1obj7fZ1Pi2+XOi/KHH0jkJlFRKPkJ5OpG7nnkrCe9lQBDCPpMEDsxPZYv+E4iJyhomCU9zm9oAoCtqUO5/mQyiZGREVgsFjidTtTU1GBwcBADAwPweDwghGDz5s245557UFVVxUIR58yZwxy/3/ve93DkyBEkk0k2YHg8HkQiEQCpiUJ79+7Fk08+ifb2dsyfPx9+vx+XXnopjhw5gtHRURZ6CgC7du1iIZRerxdNTU3YuXMnGhoa0NbWxpZ2TiQSbCIZXWIimUwyYQsATz75JC699FIsXbqUTbZKJpM4d+4c4vE4+vr6MDAwgOXLlwMAwuEw+vv7AQDl5eXo6elBU1MTjh49iu7ubvj9fuzZswfNzc245JJLEAgE4PV6sXfvXixYsACRSAS7du3CsmXLcPToUTgcDkZ/RSIRNDQ06G5OX+wwWl1mQ9tkui7fZ9Pa1rIpc7Gs0Ckh6AH9RzlRyGeTPh/aSakbuuJmeXk5zGYzxsfHMTw8jFgsxiYNmc1mHDp0CNdffz1z5tKllhOJBILBIH784x/jjjvuYA2FCnl6nclkwp49exhdtHHjRtTV1eEnP/kJvve978FsNuOhhx5iHP+hQ4dw8uRJ7N69m60509XVhWg0iubmZkiShBMnTiAYDOKSSy5h8wm6urrYoMX7GMrKyjA4OIhkMolAIIDa2loMDw/j/PnzCIVCqK+vRyQSwWuvvQafz4e33noLtbW1mDdvHl577TWcOXMGfr8f8XichWfSsFfqzzhx4gTq6+vh8/nwiU98AocPHwYAzJw5E0NDQ/B4POjv78fq1asBfNxZ+CUh6EBXQmbkQtcUC1RoaumbWq7Lx0GdjfWk5TqRAipkfRuCo5cLrxRfmNyaL5nCMZWu4Y/n6rUXQb3ldBVOGjWTTCbh9XqZZbB06VLs2rWLTfYxm81M4FMt/le/+hXeeecdDA4OMkvBZrMxrp7Gqc+ePRt/93d/h9/+9rf4j//4D4yNjcFqtWJ0dBSLFy9GS0sLuru7MTAwgCVLluDkyZMsUiUYDAIAampq4PP5MDg4iCVLluDYsWM4f/48ysrK0NfXh8rKSthsNkaTUCuG7hVAEY1GMTo6ioqKCgCp9zUwMIB58+YhEAhM2LylvLwcPp8PgUAAhw8fxtKlS5lfoba2FqdOnUJNTQ3Onz+PmpoaHD58GLfeeivzEdDZtGvWrJlgbvNRS6FQ6IJlmacClNpYIfspH02iRGvI3aMnlPLiBWAmak7LMSUKRvytJoTlfivNihX/89y83HV81M204+i1oBC8lVp62ebFbzpC18/3er2sAVBBPzAwgKqqKrbaIz2XTCaZBfCZz3wGp0+fhsPhgN1un7ADFy1bbW0tbrzxRrS3t8PhcKCqqgpVVVUghMDr9cJut6OzsxOSJGHmzJloamrCyMgIRkZGWMw8BV0q4tixY4jFYujs7ITb7YbH40EikUA4HGZ5x+Nx5jOgwptuBkMd1ACYQD5+/DjGxsbgcDiQTKb2AA6FQti7dy+8Xi+qq6tx5MgRVFVVwev1YuvWrVi3bh0L7WxsbMTcuXMRDofZTNrq6mqsXLmS5SVJqXDWWCyG3bt3s6UY+AlyUwlGUL6MUIYS9IMhBL2aJp8tP6/m0OXvL2SUBq9F8sL8+eefx5VXXon169ezxcRorDidfBSPx5lj0+/3AwDbgGV0dBSzZs3CnXfeiaeeegr33XcfNm/ezDR06oAdGxtjTmBKKR04cIBRSg6Hg22/SEMv+bDQqqoqjI6OTvBB9Pf3T/BXEJJaWZLG2AOpZaPpBC96jg524+PjTDD39fUBAIaHh+FwOFBTU4OxsTHs27cPK1asgM1mw6FDh9Df3494PI7GxkY0NDSwgbCqqooNPjQUlW4KHwwGYbPZ2OA11TBZAlarJg8UR5vXg8rIlYqijlQ5ucOnQS1GtbrTUq+8LCrU+zeEoNcLRg6vi8fj+NKXvoTrr78eVqsVbW1t6OzsxPvvv48PP/wQ27dvZw7R6upqOJ1OxONxFr3jdrvhcrnw2c9+Fp///OdxySWX4K/+6q/ws5/9DDfffDO7lq4LNDIywiYbUS6cbuTC76drs9nQ19fHGjfdxYv6DeiicLTh06UhbDYbvF4v3G43i6Shy0309/ezxdXo9pB0ly8A8Pv9aGhoQG9vL+LxOLq7u3Hu3DlEIhG8/vrrkCQJo6Oj8Hq9CAaDOHz4MDweD8rLy3HrrbcC+JgqAybOQuzu7sbChQsnhM2WIA85YWoUTb7Qgk8rRIpFrr70HPgKJcMMwdHTOHogf41evEZLqKba/blAzp/Ar60jd20sFsOWLVvw2c9+dsJsWV6LjkQisNvt6O3tRX9/P4aGhvD666+jqqoKzzzzDD744AMW5mmxWNDU1ISKigo2M1eSJIRCIVaO5uZmDA4OIhAIyJad5k8FNfUhRCIRNgdgxYoVOHfuHBPUXq+XDSp0QxGaxvj4OHNil5eXY/bs2fD5fMzxSn0PNAqIlo1aBENDQ2w/4JqaGqaxh8NhxONxjI2NYfHixXj66acxPj7O1s8vQR6i8NIqCyZLo8+Wo88ltJJC9FvILZ5H6Vc53l/uOxNPL/5esGDBxcHRU4GshWbR4pilUEsv3xFVaacnqnGL9Ad9sTabje3aRAUiALZuD9W04/E4ampqUFVVBYvFgiuvvBJPPPEE3n77bUiSxAQypTVsNhtCoRDj1Xt6etDb24vjx4/jnXfegd1ux8GDByc0VrPZjIaGBng8Hiasx8fHYbFYUFlZyX4HAgH09fUhHo/D5/OhqakJS5YswaFDhxAIBHD8+HFW3y6XC0uWLIHT6WRLL8ydOxdbtmxBIBDAbbfdxjaSsdvt8Hg8iMfjcDqdAMBoLQDMcb169Wps3boVXq+XhZWaTCbcfvvtzCFegjyUBKleip/WTcLV8pPrp7k6YcVj2dAttP+J12WzBabac6hN2tILhhb0FHqZM1oibbRw/PmCCiQ+L5PJxOLn+Uka9BxPRYyPjzOTkRCCHTt24Fvf+hbi8TjC4TAikQi6u7vR1taGEydO4NSpUwgEAhgdHWUacn9/P/x+Pw4cOAC3241QKASLxYK5c+fCYrGgsbERjY2N8Hq98Pv9eOutt7Bu3Tq0trbC7XajuroalZWVcLvdqKiogNfrxfvvvw+Xy8XKRjVxusKow+Fgs4TploGf/vSnsX37dqxYsYI5nPkZiHSPX/r8tHPR7SLXrFnDBgDqH6D3qU1auVghRpSI54yCQvrQ9ICedVUIwS7CEIJe6aVm+7LlRkmldOVGaKW0eCilm2l058+LIX8WiwXj4+MYGBiYsFolvY4KtYGBAbS1teH48ePYs2cPPvroI8bH/+QnP2Gad3d3N/r7+9kKnC6XCyaTCV6vF2VlZbDZbGhtbcXp06dx8803M4ewy+XCyMgIqqur0dvbCwAIhUI4deoU5s2bh/Pnz6Orqwsmk4nF9lMh+7nPfQ5/8id/gvHxcTYDd8aMGXj33XcRi8Vwzz33YOXKlVi0aBFmzZoFh8OBeDwOr9eLSCTClhsGMGG9H77eCSGMMqLXUP8BrTNCCNtZjF+imr4DfkE5mh6/YJ14TaY2aBQuWQmiYKeDX66CVCttk+k6ufrKZFFk6pNq1ymVR6wfUdHTa0AU6Rm5Zy1kGzIERy/G0fMNMNf4+UzHtaarZN7Sb35nLLW01UBIahEyv9+P8+fPo62tDXv27MG+fftgNpvh9/tZXDgVQnTP29mzZ+ORRx5BS0sLamtrUVVVBQAsPLGsrGzC9SMjI4hEIujr68PBgwdx7bXXsoleVKMOhUKYMWMGiwYSv6mGTVf8pHQUXfyMEMLWAaITo9xuN3M202WNBwYGkEwm0dvbi0gkgssvvxyLFy9Gc3Mz6urqEIvFEIvFWDp0MKD/Kysr2cJy/LvinbNiB6dLPatBpNfE9z6VICfAshUwhVidUi0CRUuZ1NLSIuj5fOQEPQXPzStdo5Wjp9+ZOHr6mXZx9Hxl69Wh5EZk0ZmTiTcT7+GpAypE5Cbk8C8+k9CnS/z+4z/+I8bGxvDoo49ieHgYPp8PtbW1MJvNbMISH64Yi8XQ19eHQ4cOYWBgAAsXLkRlZSVcLhebZdrY2MjKTFeFNJvNcDgcOH78OKLRKHbu3Imbb76Z7T1rNpvhdDoZ1RKPx9msVxq/X1FRAY/Hw5Y0ps7WsbEx2Gw2RKNR2O12dHV1YXh4GOPj4zh69ChOnjyJjo4OBINBeDweLF26FG63G5/4xCdQVVXFJoTt27ePaeV0t6s5c+agubkZDoeDrWo5f/58hEIh5r+goJPRgAutJ/G/+H6oQ1ik1ui3eL1WhWEyINevjKDY6QlRYE82tJRDTs5cFNSNnPZEkesLpPcpRfFQ81VJEIsaEL2e8uK8CaYFVPhTJ2k4HMa7776LQ4cOwePx4I033sC8efPQ2dkJn8+H8fFxVFRUIB6PM8Ftt9vZsgR0tqzD4cDNN98Ms9nMFkkjJLUWTFtbG4CP17qn3LXb7WYx93SVTbqmTllZGbq6utDW1oY/+7M/QzgcxgsvvIBnnnkGFRUVePPNN1FRUYE5c+bA6/XC4XCwqJyKigoEg0F4vV4kEgkW+XL69GkcPXqU+QHi8TiWLVuGWCyGxsZG+P1+1NXVsX1v6YqYoVAI+/btw4EDB/D222+jsbERl19+OWw2G+bOnYv29na43W4Eg8EJlAsV8uK7oUKeWmFymiCtI/5++q75kE6eZhLBtym59sW3TTmqQA+BJWqL2aKQa8wrIVvqhq8rtTpTW5CMPyYOGpnuk0tbyTqQO0apQ3qc/+hd/4ahbvgXpSb4s6FolI5l25EoVTA+Pg632z3BtBehNHBQIZRMJjE6Ooqnn36axZ7H43G88MILaGpqwtVXX41t27Zh69atCAQC+OQnP4kbbrgBCxcuRENDAxwOBzweD+x2O7xeL8LhMH74wx/igQceYNEvdEYov94+ja+PRCIIBAIYGxvDE088gVOnTqG7uxv33Xcf3G43+vv78cd//Mew2Wz49Kc/zXZ8mjt3Lux2O9Pc6fLCdPmGpqYmnDp1Ck6nEwMDA3C5XIhEImxZAupnAFJx9IFAAE6nk21kTic6lZeXgxDCLIGxsTFs27YNp06dwubNm/GlL30Jy5cvR2dnJw4ePIimpiZcfvnlbM0h2lGoNUCdufxAywt6NTOcXi+n2fOrkuYK3lcgJ+QytXs1XjpbzVJEoQW9EkcvtzOT0j2ZrHIKNYGtJIxFX4ZSXWuhbeh1cjy9mqBfvHixbiaKIQS9uB69SN/IOcbkNHURegh6XnPj12vJVtDTtBKJBF5//XUMDAxAklILmwUCATz99NPo7+9Hc3MznnjiiQt2taJLEwQCAZw8eZJF1Nx///34/e9/jyuuuALf/OY38d3vfhfBYJAJOzqj1ul0ora2Fs3NzaipqWEbcsfjcTz77LNob2/H4sWLsXv3bjz33HOMzhkaGoLf74fb7YbT6cTw8DBmzpyJc+fOIRwOo6amBgMDAxgdHUVPTw98Ph+qq6uxatUqvPTSS2yGbFlZGRvs6EQqOqPW5/Oxc06nE36/H319fXC5XGwpBTqLlq5h39nZiXfffRetra145JFHIEnShGUd+PdltVrZEtPAxJ7wXhQAACAASURBVBmNIpUjCjh+UKd0jqiRiwOGuJ+BEvgdstR4YrE8csiH05ZDMXl5CipcRW1a6X5R0GvVupXSLKSgFwU6fd5iCXpDUDcUanw6/VYS1FpNYPElZLIa+Dwp7RAOh5kAop2fHxCUeFv6Us+fP8804a6uLrzyyiuYMWMGnnvuOTgcDrz88su4//77cf311+Pb3/42mpubYbPZUF9fj+rqaixZsoSthmm32/Gv//qv8Hg8mDt3Lq677roJ2ibl+GnsO9Vwx8bGcPz4cfzoRz/CL3/5SyxatAg/+clP4PP5cM0118Dn8yEYDKK3t5ctzNbS0oKvf/3rePHFF7Fs2TIEg0FUVlbi1KlTOHnyJL761a/iN7/5Ddra2phw7+/vZ2v/2Gw2Jlx9Ph/bijAajSIajeKKK67A0NAQRkdHsXz5cjgcDjYJKxAIsLkDdOnj73znO3C73di7dy+uv/56tlsXHeR4IU732qXaPK898g5eXqngQz2BC300Yvvi61x853JQOidukchfx6+dJLYvLcgkbHMR8HxZtEa3qJVNzVLJFnKLjWWqK5FSUxqAtVA79JwoU0RZV2iF21CCXgm5VEIuTt1MjZEQwgQ0FQ7RaJQdp5BzxtLO+sILLzCh09/fjy1btuDSSy/FnXfeic997nP4+te/ji9/+cv4zGc+w4QSpSQIIbDZbGxpAovFApvNhrKyMjz++ONYuXIlKwffUOmiaPF4HISkdsey2Wzo7u7GsmXL4HK50NzcjNHRUezfvx9f+cpX8POf/xyrV69m1E93dzfWrVuHX//613A6ndi5cyfmzZuHoaEhlJWVYdasWUgkEmhqagKQWn8+Go2yjVNqa2vZloVDQ0NstcoFCxagqamJzfRta2tDZWUlhoeHMTw8jNOnT6O6uhotLS1sYDWbzWhqakIgEIDL5UJ1dTV27NjBNHcxNJMHT8XwDlwaiskrCqIGLyoc9Dc/QIjvXwni9XITjGg+Smln8g9oRb7aux7afy59NdN5OSpMi1DlNWu9HbxyFoVceXJ5j2owhKCnQpNqzPSFUEFHt9OjMdu8443vfPQ47Ryiw5VqZLxVQCNn5BYxomWj6YujMl1Ii9cO+RdETTAAbPngHTt24NprrwUA7N27F6FQCHfffTe+973vobKyEjfeeCOjGWh0DW/K0nqgXHN/fz+uvvpqPPbYY1i2bBmjLCgHTS0RftIRXb/mN7/5DX7605/izJkzWLFiBVsr/pOf/CSuueYanD59Gm+88QbcbjcGBwdht9vxhS98ASdPnkRNTQ3a2tqwatUqdHR0oKenhzlRXS4XXC4XXnrpJWzYsAHt7e2oqanBokWL4HQ6ceTIEbbscmdnJ06dOgVJknDnnXfC5/PBZDKxSWGJRALd3d2Ix+NsL1lqnSxbtgzj4+Po7e2F3+9HR0cHjhw5gnnz5ql2VC20m5yjVIk2pIMrbXM8xceb5ny75GP/ef6WtlN6nEYUiVtO0t/i0hpyPgb+XrlBhT53oXj5TJSUHP2V6Xo1bl5JeMpRLnz/Fq9RGxQyUUtK1gmfnxrVo/e7MISgp42P18Tog1KnIt1hyWq1so5CBwXaKWg0CgCmudrtdhYBQqkO0eSKRqMXxMLz/CudyUk7MRW8vAZotVpZh+KXO6AvlzoHN2zYwDbuPnPmDF5++WVs3LiR7YVKyyFHAdH0eB/BW2+9hU996lPYuHHjBQ5IXhPlhT51AO/btw9lZWX4xS9+gSVLlmDLli1YsGABampqEA6HsXDhQrjdbuzcuRPl5eV466232C5QlDM/cuQIWltbsWfPHtx+++3YtGkT230qEomgo6MDK1asgNvtRk9PD0KhELxeLyoqKjBr1iy88847WL16NUZGRth7ogOcw+GA0+lk1gJ9jpaWFkiShJMnT+L48eMsDDWZTGL9+vX48MMP2Y5ehYZI+VFhTqOlaOfl6Rx+EKbnRRqHkI83i49EIqrRO2oaqhztI8aGUxpwukFL/eiVj573FaLd6msf5AjqnBscHEQ8Hmd7rdJGSGObg8EgwuEw23S7r6+P7VMai8WYFjg8PIxIJIJgMIhgMIixsTEWoigXLUEFOD1HOxfP+dI8wuEwSzMUCiEcDgNIvZxwOIxAIMAmDgEfa2yhUAirVq2C1WrF0NAQtm7dittuuw033XQT5syZg40bN+Kaa65hWrdcI0gmk0wQ0nwHBgYwY8YM9gw0yoXXJHnLhg5SJpMJ8+fPB5DyGcyePRtDQ0OYOXMmbDYbPvzwQyQSCTzyyCNIJpNobGzE+fPn4XQ64fF4sHr1apSXlyOZTGLnzp248cYb8dRTT2Hfvn0gJDU79Ytf/CLuv/9+XHHFFairq0NjYyPKy8vh8XgQCoVw7tw5zJo1CwcOHGADEy0rvwk7v3pmNBplAnBwcBCVlZXwer3o6+tDd3c39u7di4qKCt06NxXe/EfL9XS1TrqnAO8f4dOhAwMNUbXZbIyWo5vS0LkDvOVAB5Ph4WHV8tBIJ0pZ0bql4JUZahnQpa2p4qCkcesFNZpFa72rpZ1reQo9QNC8ePB1ricModGPjo6ytdLlIhZGRkbYrEjKw1qtVrbiIfAxpUG1b0mSWAehDZs3xamw4zVeHjzXTctBNXWqkdF86HW0c1OtjcJisSASieCBBx5ANBrF0aNHcfbsWWzatAkvvvgivvOd7+BnP/sZvvOd77DyUYHPb/jBOxSpk5Vq1j6fjw2YsVjsgvBBng6jfPScOXMwMjICv9+PefPmIRQKweFwYGRkBC+88AJ+/OMf4/LLL2cx9N/61rfgcDjw7rvvwuPxsE3Dly5diueffx7XXXcdZs6cif3792Pt2rUwmUyMxqmoqIDNZmP19/7777NlEtauXYvq6uoJVhClxPh15em9dDmH2tpazJ07F21tbfjwww+xZs0ajI2N4aGHHsJ9993H9rTNFUrCRc3Jz58Xl9lQcvjLpa9FsJnN5gmRRiJ4CzGRSLBBgW4pKVp+ItXJW6J8mvz7oddRq1gMSuCd3XJ0i0iP8efkkIneof/5+S4UIk2j9lspDzVns/hbib5Ro4e0LgaXLQwh6CsqKkAImbANHS9ga2pqJgg/KvCoEBdNUbqpB2/+0nPAhVwrvV4OfAPkBwyxYfIx65TWAcCm6NOlCkZGRvDGG2/ggQceQGtrK77xjW/A5/PhzJkzmDFjxoR15fm0aQOg6UpSKiokHA5jcHAQY2Nj+Jd/+RdWfxQ0nJHWKU17bGwMixYtgtvtxqpVq1BdXQ1JSi1jfPbsWXR1dcHlcqGpqQmbN29GRUUFnn76aUQiEVxzzTWoqqqC2+3GM888g0svvRQbNmzAoUOHIEkSmpqasHXrVixduhR1dXXML0AHYkr9uFwuHD58GNXV1ejs7MSyZcvYcso81Ua1TKrN0/j6w4cPY/78+SgrK0NDQwM6Ojowa9YsNieArsdTSORjZueitSnll+k5CSHw+/3MOc9DbFu8sJGbWEbbExXg9N3Y7XbWT+l9dKDOtp7y0Wj52eBUNmSipngZka1TWEtZ5awE/piS/0cvGIK64dddF52ffAXwGi7v+KSjoqgJ0YbGnwc+1kroRymWlb+Wh5wVQM1f8Tqn04mOjg688sorcDqdOHHiBHp7e9HQ0IANGzbggQceYMsa0C3w6Doy1DnNO+f4qf3d3d1oamrCyZMn4XA4WJ3QNWto/dB4ddroE4kEDhw4gCVLloAQgquuuoqdt9lsePPNN7F//350d3fjn//5n3HixAn88pe/xIIFCzBjxgw0NTXh6NGjsFqtWL16NSwWC4aGhnDbbbdhyZIl6O3txfDwMIaGhia8F2plUb9IfX09vvKVr8Dj8WDt2rVIJpMsFNNqtTKBQ5ccpu+PLr2waNEihEIhuFwulJeXY3BwELFYDOfPn8fzzz9flA3C8zHx5egJNSuCb3da8+T7E1V6KL1HLTueJuIjm/jz9EOXkKaT56xWK5xOJ3w+H+x2O7uX0pV0cBf7ViHpETqYDQ0NIRAIYGhoiNG6agqdWv3LUb6FhN4C3xCCnjYEWplygo13gtL/vJDmTSDRNBLpIHHRKv4a8YVn6nj8fx68Fvrggw+ivb0diUQC+/fvx969e/HXf/3XeOSRR0BIKszy5ptvht1uRywWQzQaRTgcZnw8fR4xxnvv3r248sor8fTTTyMUCuHb3/42i7KgH147o8LSarXiBz/4AVatWsXKTiNZRkZG8Ic//AEPPfQQ/H4/Fi1ahMHBQbS0tKC9vR133HEHW1Ds8OHD8Hq9MJvNuO666wAA27ZtQygUwsKFC9Hf34/BwUGYTCaMjIwwqikej6Ourg4tLS3o7e3FkSNHcP78eSQSCUQikQmUDeWvaSQRfXd0tm17ezvsdjvWrl2LuXPnYmRkBJ2dnbjuuuvgdrtZmyom75ov5AR/rmUXaQe5ti/SNbSP0A/fZ3haCvh4eQ06EDidTuZrKCsrY+2Dj/yiH3HAEc/xeSrVh5xlHY/HMTAwAIfDgfHxcXg8nglbZor1ycsfpTqm5QLA+ifdZlPLO+DzE+lUXnbxPhE9YQhBLzYsvoEp8Xs8tFYM72wVK5anRHKFXNjajh07cMstt0CSJLzwwgvwer245557sGbNGibU33nnHaZd005HNS++LijorNJTp06huroaTz75JFvzRew0wMcx4lS7MpvN6OnpYWklk0l8+OGHWLp0KaxWK1566SW0trYikUigr6+PzVytra3F7373O/j9fixZsgSVlZU4dOgQtm/fjnfeeQe9vb24+uqr0dTUhA8++IDNpN2/fz8cDgcz+cfGxlBWVobdu3ejqakJlZWVcDqdzJdBBTldK4fWJfWJUBqqtraWrYAZCARw6tQpdHR0QJIk9PT04OTJkxk1ZjVNU8tHDpnMdK15Z9MelcojtnfxXL7py10HXGj1itqwUpy4+K7k5ILSIETTtdls8Pv9cLlcqKurg8PhYA56kZ6iQpvmrQZeyaSrsmaj5YtsQ67vOhcYRtCL/3mtgx/dAXkeTYvmLacViJAkiQm/bDoC8HFDoNE64XAYb775JiKRCHp7e9Hb24snnngCPT09jLKQJAk7d+5kIYQ2m41RDjQSiGqvNA8+9JKa0ACYqczfK0mpKKSenh7s27cPH3zwAbZv34577rmHOUcB4MCBA1i+fDmsViuWLFmCuXPnMjro9OnTcDgceOKJJ3D69Gl0dXVh7969MJvNbIXMlpYWJBIJdHR0oL+/H4sWLUJ9fT3279+PEydOYHx8nC0+ZrfbMTg4CLPZjGg0igULFqCiooLx9nRQos9LfRF0wKeDs9VqRW9vL8xmMzweD2699VY0NTWxNYkqKysnCB619pHrJ1OaWo/Jtcl8O74YMSN+tAo2OcuV9hG+X/IKmdyAxgt3mrY474Qvu2iJKVlmoqVBlQK6t7HFYoHH42EWLb3GZrPB5XLB4/FMsEzklE16H82D0si0Hvjn5H/LvU/eQufTFetYTxhC0KuNbGLFyVVMPpAbPERNgTYyraAhdQ8++CCWLVuGnp4evPHGG7jlllvQ0NCAO++8k20I4nQ62SqTkiQxh6MooOgmG1RYhsNhDA0NwWq1YsWKFfjxj3+MZ5555oLIifb2dgQCAVgsFrS0tGDmzJlYsGABrrvuOvziF78AADz66KPYtWsXZs+eje7ublx22WVM4F522WWw2WxswtM111yDw4cPo6ysDCdOnMDQ0BA2btyIQ4cOTaBXjh07hhdffBGrVq2CzWZDT08Po2ACgQDMZjNmzJiBgwcP4vDhw4hEIkw7TyQSjO8NBoNs1Uv6Luj8CbPZzPa7DYVCCAaDmDFjBtPu29vb2VaHfKjsZECLFZBP25YbeHieXbQKsym3HPgIqUygtA4vZGka4jOI6Stp97RsSsJUCeLgyitz4mAhUkx0JrrH44Hf70d5eTlcLtcE34RSmcVn4/OWm7ymt7A3RNQND9rgKb9MHTuiBiKaQbnkw6ejRA/lUuGEEHR3d6OxsRGSJKG7uxs9PT1YtWoVrrrqKixfvhxmsxlDQ0MAwNZhpw5YPo6WCn+ehkkkEjhy5Ajcbje6urrgdDpBCGFOS9q4+vr6YLFY4PP5GN0zPj4Ou92OhoYG1NTUYOvWrThx4gSOHDmCuro6jIyMoLa2FrFYDIcOHcLMmTMRi8Wwfft23H///RgaGsKvfvUrbNiwAQcOHMDnP/95SJI0QcCWl5dj3bp1GB0dRXd3NxYuXIhwOMzWtPf5fOju7obP50NjYyMcDgdbFK25uRmRSARbt26Fz+djAtpkMmH9+vXsPdHVL5uamlgYZSgUQnNzMwYGBphpTTnjbAZqLcJC7R6t7UguH56v1RtiumqWLT3PUzC8Zs0rI2LUDp+2EuQEmtJvuefg5wXwAlrpGel9Yrq8Msdfx3/zv/k6oYKcLw8Fb7HQ33zIJ72fl22iUqsnDCHoqWCjgp3XSPmFpyjkTDd+wSn+uMgZ0hfDv3TxxfINljdfM5m79KXG43HcdNNNuPvuuzE4OIgTJ07gu9/9Lj7zmc9gx44djBJxu904e/YsrrzyShYZQ7Veu92OSCTClvGlcfS0PLt27cJll12G3bt3w2Qy4T//8z/hdDrhcrlYpA5dJmBoaIitREnrkwrCSy+9FPF4HG63G3/+53+OZDKJ2bNno6OjA36/HwcPHkRDQwO8Xi9cLhe2b9+Oxx9/HL///e9x7733oqqqCpFIBPPmzYPJZMLq1auZoN60aRP8fj9GR0fZ0sZ0o5Dq6mrmMHO73WwVz/3797P6PnfuHBYvXgyr1YpgMIg33ngD8+fPR319PZupTNfop+/ParXi7bffxk033YT+/n60t7djzpw5bMMVLR0okxKhVydU4mwLhUzCV8yf9inewpWkiROu6H2ZBg21PLO9nqdieeEuCkytedN+K94v90yi9i1Hb/Hn5CZniiwCn2e2dLFWGELQ05hbseLkuER+JKSVRNd+0aLl0/uUzEax0YjpadFUjh49iq997WsIhUI4duwYtmzZgk996lNYvHgxnnrqKcRiMYyNjcFut6OnpwcOhwMPP/wwW+OGTvSiHCidUEbr5+GHH8bg4CAWLVqEP/3TP0U8HseJEyfQ3d3Nom0sFgs2b97MtGIaz2+32yFJEvr7+/HEE0/g6NGjGBwcZJzjyMgINm3ahJ07d8LtdmPZsmXo7u5GLBbDiy++iHfffRdbtmzBqlWr8N577+H06dMYHx9n+83OmDGDzVb++c9/zvjMzs5O/P3f/z3Kysowf/58OBwOVFdXIxKJML6/qakJnZ2dGBkZwS233MI2E6cx+Dt27EBfXx+sVivq6+vZhuejo6NoaGhAMBhEJBLBXXfdhf3796OtrQ033HADRkdH2QDT2NiYdWx9ttajnHavpL3rjWyEBC8wKfh+wdOWogDl79FqLRXieXMVjP+Xuy8PjvM87/vt4tx7F7sLLHHzAECQFEGREilSh0WqES05lqwqdmq1Th1nnFSp7dqZxGrGdiw3mbZpmo7HE8ex47O2ZVm1LSmiKrsSqZs6KPE+AYIAiBsLYBd7YRe72O0fmN/DB6++BSmZnuH4ncEA2P2+93u/93iO33NpwmpK07+JZkXLyrXfhFZ3TRB6c9KBSyqSCdtoLsxmZmykKsU+yz1Pq21059Oagfbbp+GFRIJEmYS1WFzKzzI+Po6HHnoIGzZsQDKZxGuvvYZf/vKX+J//83+KobBUKqGhoQEejwdnz57FLbfcAofDAYfDAQBSY7WmpkYkYYfDgcnJSXg8HjQ0NKC5uRmhUAhPP/007rrrLlRVVWHNmjWYm5uT99i3bx/27duHO+64A01NTXA4HKIZNDc3o7u7GwDQ29uLdDqNiYkJtLW1YX5+Hp/+9Kfx8ssv48tf/jJSqRRCoRAuXLiAuro6rFq1Ch6PR4KSmpubxZCay+UkZcH09DRyuRx8Ph+2bt2Ke+65R/zk0+k0/v2///e49dZb8eEPfxiRSATpdBoXLlwAAOzbtw+pVAojIyN45ZVXcP311+PGG29EIBDA4OCgRP/6/X6xXczPz6OqqgoNDQ0IhUI4duwYDh8+jMbGRmzfvh0DAwOYmZmR4DBT1S93CFc6dFdycFfC5a92u1KIqNznmvCZUEo5QmVlZL1cANKva2crNz7+zWt0u9w4VtJMrKRv/d1K47T6bT7v14WiL9euCUJvtQCEGDTRtpqklXB7s19KyFxcEr35+XmpvMQAi+npaUxNTSGZTAKAVEti3h0yBHqHMHNjNptFY2Mjzp07B6/XC7fbjUceeQSbN29GTU0NZmZm4Ha7JefLX/zFX6CmpkbgnIWFBfGfX1xcqvOaSqUQjUYxPT2NmZkZjI6OYnx8XN6LfdJASVw7EolgbGwMP//5zyVhnN/vR2dnJxoaGvDRj34UAPCf/tN/QjKZRD6fR2NjIxYWFnDDDTfgiSeewD//8z/j2Wefxfj4OH7nd34Ha9asQWNjozCU7u5u2O12CUzL5XJIJBKYm5vD9PQ0MpkMpqenMTk5ie9973tCXLPZLO69915UV1fj5MmTeOCBB3DhwgV4vV785V/+pUBYkUgEe/bswfj4OEKhEFavXg2n04m5uTnU1NQgEongscceQzwex2233Yb29nb4/X7Jh9/V1YWqqipcvHhRyiY2NDRctcN0pZreb7qtNI4rgWyupP93Q+CofZZ79pVqAeUYcTn4daWxvZvxX2lbialoSIifme9jBQv9JiT6a6rCFLB8g5jcTm82jbWbecT1PWxUQTUHr6mpQW9vL77//e9LfnTCQOl0Gk6nU4ybOpcHJX1qHJoR2Ww23HHHHZJ69+c//zkqKyvR3NwMj8eD+vp60UAKhYJgzIRWYrEYJiYmxHBZLBbh9/tRX1+PcDiMiooK/N3f/R0eeOAB7Ny5E4uLi/B6vXA4HPD7/cK8SqWSpPZlWoXBwUH09/fjhRdewOuvv4729nZs3LgRp06dQmtrK1KpFHbt2oVYLIZIJCL5aM6cOQOb7VLWRa/Xi23btklSsrq6OthsNnGbrKmpgd/vF+YXDAbFRsAgJibOYgK6mZkZTE1NobKyEm1tbaiurobX68W6deswNjaGtrY2DAwMoKqqCjU1Nairq0M+n8epU6cwNzeHs2fPorGxEW63G7W1tXjrrbewe/du3HTTTdi6dSvq6urg8Xhw5swZbN269apHOV7OePibaO+lX6tzYXWNFe5tnh8rTNy8TqfvsJL8y43lSgj45WDWK5G09f9WfevvrGiMFXTEOTAJfDkNit+Z4163bt1Vkx6uKUKv3aYALCOknAgtkWtYx5TurZpeKPqn//f//t+xuLgoPu3AcsiGz6T3j8bAS6Ul418ul4PX65V7h4eHkcvlcOjQIZw9exb3338/IpEI1qxZA4fDsSx1st1ul5z7pVJJ3AHpFpfP55HJZLCwsIAHH3wQjzzyCNrb23HmzBlMT0+LH3AkEkFtba1k8aSBm9oHw9erqqrgcrng9XoRCASQyWTwla98RQy/zPFOT55gMIjFxUVhfPPz85J6oba2VtIvAIDb7Zbi5HwmmSa9fubn5yXgxGZb8sChsblUWspxEw6HBarKZrPiOcOMopw/u92O1tZWzMzMIB6Po1gsoq+vD62trfjABz6AQqGAuro60XZGRkZw8eJF/M3f/I0lBEh7D20ZOqLaPOhWBPNyNp1y15Tbp++mXY5g/7qNZ0aftXLEyxyP1TubzEB/Z8VAzH70febzdB9mv+yH76L70O+nx1COAejvyxH7cmMjLbHaR/zp6Oj47SL04+PjJRJTK65pJVGYvrTvJp+2zbYUYv/yyy/jtddeQ21tLVKplBBK4sh8Hj8n/MH/9W/tLjY3N4eBgQHMzc0hEAjA6XRicXERfr8fa9euhdPpRDweh8vlArAUUs0MnYwMZfAUo/dyuRxmZmZw4sQJ2Gw2HDp0CDfeeCPa29uxZcsWKcgNQJ7Hvp1Op2S2ZJASmQddNEOhkEBABw8exGc+8xnU1NRIHhmXyyWJq1KpFGZnZxEOh5d5CMXjcbzwwgs4fvw4KisrsXPnTlx33XVobGyUyNfq6mpJnQtA0j5PTExgeHgYmUwGkUgENptNCrETg6dBen5+HpFIBFu3bsX8/DwSiQRisRhGRkbgdruxatUqtLW1Sc1Zpo9Op9OYm5vD+973vmUHkWtdVVWFubk5YbrUVLiuK2kBpsRq1awYRLnrrNpKhPu92BeutK1EKM1nXMlnWsov9zzTJmAFA5lrWK4P/m81fivpXwuV5TQKPa5y15hjs5LcrRjFb4LQXxMYPSdUT772T6V0amXpJyMwuaPVodMagdPpxMsvvywBEDTuEXZg6D0hAgDLEqQBlzIGUgKtra1FOp3GU089hTVr1qCmpgYejwelUglutxsulwv5fF6CkVwul9gA/H6/aAsLCwuYm5uTdyRhTqfT2Lx5M8bHxyU3TkVFBd5++23s3LlTtBSmEshkMkKEOV4SscrKSgQCAVRUVMDj8cDj8cDr9Yo/+9GjR5flQ6+rq5OyiYuLi6itrcXMzAxaW1tRLBbhcrnQ0NCA6667ToqOMCsog7tmZmZw7NgxIbx+v1+SYuXzeUQiESHsLDrCALHVq1eLFrV69Wpks1n09vZi69at8Hq9aGlpEWgtn89jaGhI9sH58+dx/vx5hEIhrFmzBtFoVOAjm80mUZQnTpxAKBSCw+FYVnVMB8FY7akrJeBW97KVszWZz7mSvi7Xj/m9JkhW4zAleNqCrAitlSaj27tNGWDCuGY/Jk0wrzMZhh6jKXVriElnvtTPt2IMVkJAOS1Fz7kVs9NQztVs14REPzU1VTIXhBMPlI+gs9q0Kxk8dMrieDyOb3zjG6iurobL5RJpt1QqCcbNQ649cXg/CXY2m0VNTQ28Xq8YKBndSrycDr15dAAAIABJREFUWf6Ic1PaJlHO5/MoFApCkOPxOGZnZ+V/AGKAJPbNtAfM915TUyOaCPFvNm00JpTDjcZshCykcuzYMfzJn/wJ8vm8MCkyJrZCoYDJyUnEYjExvOZyOUlaNjMzA5fLhebmZjQ0NMDhcKCxsVGSXAEQ20I8Hpf0DBMTE/D7/ZL3h62qqgrRaBRjY2PCAOx2u6wd7QNktj6fD263W2IQstnssnQPNGy/+OKLyGazuOWWWyS3TyqVktz+7L9UKiGVSkmaX+49vZ/M/WlqoO+mrXQmrwT6KddfuUhWTahMggRY10A2Cd5KsJRVugMrBlGOGJsS+LuhWVbjLAfFlLuu3HOtICZTS7R6Bj8zUydw3gnrdHV1/XZBN5rQs2kpwoyiMzl9OTXRxNs0N3366afR29srhJah+7QJkLhTeikUCpIjvVS6VH6N0i3hkv7+fmzYsEH+p296IBAQws++GNFJ10yNCzPVLxMujYyMoKurCx6PB36/f5kNwe12ix2BrpVMeUzmwjFTyic0olMSvP3229izZw+CwSCCwSAWFhYEq6ebZ0VFhUjcLFJCt1O/3y8+9clkUrJRMqNkMpnE4OAgSqUlQ3F9fT127NghrqY+n088eAqFAo4cOYILFy7A7XbD4XCgq6sLqVRKShUWCgWZQxq2mRKBsBghIw2v0RjO3ECFQkGiek+cOIEHHngA7e3t4mlVKi3l6acXFNfJ4/EIc3E6ncv2pOkWfLXauz2vV4LTm0TNvN/qWlMoM59lxRxWkuZXIuArwWbliGi5/01NwModVNsEy70f76GGa/XclVxMTciG2oP21Pmtw+inpqaWDYITbaVGaulENxPK0X/T60Qnw/rHf/zHZZAQrwEgKXt10QW73S6EnknGSOQ45traWiHAdA+khM+ye6yERSIKQAgnNQGWQASWJPDq6mpcvHgRkUgEbrcbbrdb3pk5xKkxMAEYJXJuHqZUpY1hcXERyWRSMPOpqSkMDAzgrrvukufu3LkTX/va1+BwOHDbbbdJ8ieHwyH+8RMTEwJLFQoF+P1+JJNJuN1uYZbpdFqYHrWDyspKKQmZyWRw6NAh9Pf3I5fLYdeuXejp6UFra6tIoYuLixgdHcUTTzyBUqmE3bt3C+Tm8/nEhz+Xy4nBNxAIIJVKAQDm5ubQ2NiI6upqCZ6iJkAmmEqlhOGnUik8//zz6OrqEkyf2huZLwugUBsk0SekRiOyLrpCbZFwIKFEqwhw3d7LObWSOE2p2ZTcywlb5m8rgq77vJyHzZWOXZ/rcu6a5cZiXqMZFGE7q3FbSf18vjkGSuYm/TH757VmSgQ2DT1zHX7rJHrtXkl1l5PC31aSOpup3plSPD8n4a6srMTf/u3fiiTPMoU8fDRYao8fEnQuIgAxEGr4hRGelDDphVIsFiUoSqfipVZAqZi5s0ulpRw3sVhM3A7D4TDq6urgdDqRz+cFG+cG5Tzxvdg/Ccvi4qIEYiUSCeTzebhcLkxPT0s0LvPgs3hJRUWFpH1lUFkgEEAymRSCyniBiooKSUDGgta1tbUIhULi914sFoXR8N1pqyCsQy+cVCqF119/HbOzs2htbcWGDRvQ2NgoUvh3v/tdrFmzBpFIBPPz8+JaGQqFMDo6imAwKJGzPp9PcuNHo1HB4u12OzKZDAKBgGTIpHSez+cRDAbx+uuvI5fLYceOHZIRkQec54f3srYw15KaBW0RPp8PwPIqTcByd+GVtIByRNvq+8s1U2K1SiOim3Yl1n1YSe8rQUxXKp1rzYjfX+6dTUKs6YYJy2hNw6Qd+lrtoWPlJmqlsWjir+fFHIPO0snr+P/69et/uwi9lug1J9S/SRSAS1n52LRqtZIUQsnp5MmTePnllyWZFqGMUmkJn6d7oi6MQO8aMgoSArrjUZJ2uVxSElEXTSGeSwNuRUUFUqmUFEYg5q/ngMFSzz//PDZs2IBQKCTuiLye2HypVBJtgTAOAJEmyVgAiORbWVkp+bjPnz+PDRs2yJi1QYpSOAOq3G63RKcWi0U0NTUhkUjIM5xOpxB8HQjGeQqHw8hms/B4PFhcXMTk5CQikQgAiNcNITGdqpl/19TUYHh4GBUVFWhvb4fNtlS85dOf/jT+4A/+APX19fD5fMhms8JkhoeHUSqV4PF4MDk5iZ6eHgBLBDcajSIej+PNN9/Ehz70Ifj9fiwsLGBsbAyRSERsI5q4cxzcf3xHJqZbWFiQdWc+Hw0fjY2Nob29XQpzmBLhu4V9ykEvK53vcpKrSTh1BLlmTrzHNOaWe+a7kez1WLSB0oo2mAxrJThHS/T6f1OQNK/XzzfnjGfGykHEbMykarfbBULkvSZzuZoS/TXhdaM3Do2MVotFAstJ1ISdrRyeBrxTWyD0ASyXqDSWS06uIRke6lwuJ1IoAMRiMXi93mUqpy7UTQMitQX6sxcKBSHyJGjZbFYMtLlcDqFQCHV1dYLxFwoFpNNp2bTMjcMqUU6nc5kro9vtFk2gVFrKdRMKhVAqlSQZWjAYRCKRENdOSrt6/kulEk6dOiWeMvl8HlNTU2hubsbFixfR3NyMkydPIhQKiZYwNDQkmSZjsRiSySTsdjvefvtt+Hw+uFwuzM/PY35+Hg0NDWKboHsk14ZS8cLCAlatWiXrnU6nUV1dje9973uora1FV1cXvvGNb6CrqwvpdBql0lLKCc5pS0sLRkdHl+VUb2howI033oh4PC45itra2jA+Po7FxUXEYjE4HA4Eg0FkMhnRerLZrKRhAJYK2TNWgumhE4mEwFaVlZXw+Xyoq6tDKpXC22+/DYfDge7ubgnQM8/ElbRy15cj/GZgoimp8ixoAUufExNW0fdYtfcC35jPNAmslQZwuaYNw/qsa7pB2mJCWbyXbuB6jjRNMQPE9HcaEjaNsdru927cxa+kXRMSvRkZC7xTRdX4VTkvHI1zaaKtN0BVVRXGx8fx+OOPy3esZkQiXiwWRbUm49HX0gWQ2HpNTQ2mpqYwOjqKTZs2iSfM/Pz8Ms5OX3Rt9KXxMZlMwul0imSey+UQj8eRy+Xw3HPP4e677xZCz0ZYhWMms9AbUkvo3JDZbBbRaFQ0gfn5eakhy8AxGnJZxIOFtunBk0qlljFESrixWAx+vx9+vx/T09OSJnlychLz8/Pw+/3weDwytzMzM2hqahLmmUwm0dzcjOnpaQkm8/v9AACfz4eqqiqkUimJsCXzj8fjqK+vF0b23e9+FzabDffddx/i8TjGx8dFU3O73ZiamoLb7YbX60VFRQXGxsbEsykcDiOXywmjGh0dlffjnHN/0X21qqpqGfTncDhEUGDaDJttyQAej8fR09ODbDaLYDAoUcHBYBA+n08kfTNga6Vm2rDMz3Ur19dK9/I7Mgcr10AronglzQqyMrXxcmM1ib/Ve+hnmMyJ35keMlbMz0pzoZap+9JzsxIT1VqFhn9Ix37rJHoNbZhcUi+0NvJoIs7vr4QLLi4uIhwOo7OzEwMDA2KQJUyhJfyKigqp40pmQ27OsnZ8diAQwNmzZ5cR4tra2mWSPcdIiEVLRZooU1sggSCEwc1JAlJdXS3EWhcRJ/HTbpx0pSQB8/v9goUTS49EIoItkmnMzc0Jc5qfn4fdbhepnOtDgyjTIWtPnnQ6jUQigXg8Lm6ShFQGBwcBLLmTnj17Fhs3bkQ2m8WxY8cQDocxNzeHyspKzM3NAYAUauHYbDabaDVOpxOjo6Pwer0YHh7Gtm3b8Nxzz+Gxxx6TIi8+nw/Dw8MIBoMAlqTv06dPC8O4/vrrce7cOXGz5D4kLEU4ibBWsViE1+uVfUObRyKRgMfjkSA1rdHR/tPX14eenh6cPHlSGCU1CWbo7O7uFiO+Ce9oV0kNH2iBSAsT/M7KmGjCISR8VsxD9282DbVYNat+zL/L3WOFnXMcVyLJazrBudIR6JqWcD71vPJZVozFyq7B88x+rOwb3EekDYRWV5rD99quCUKvcWtgZdcjElzNAa9UzdUbuqurC4ODg8uyUup+SRz1+EyjiXY1LBaLmJiYwMLCgrg4crF0WlweWL4ruTolc6pwhFYAoKGhYZn0XFlZKbADiSA9fjSjIXGiGyIlcWL0hUIBbrdbxkmMmZI0mUl1dbV4/xQKBakhS7sEfduHh4cRCoVk89IlkcZl2kKy2ax4q1RWVuLChQtwOBw4c+aMBG3R/sG0CpFIBOfOnRN7QUtLi8x5Q0MDgCXbQ39/v7h0hsNhfO9738NHPvIRRKNROdCZTAaZTGZZAXK73Y7Dhw9j06ZNOHTokODvZKpkvrRtEDJjNlLuDXr1sBg155XuqNpuc+TIEcRiMWzcuBFnz56FzWbD2rVrcfbsWbhcLsnfs3fvXnkGCbwpgWpio4US81rTqKiJv5airSR23S6nYej7NUxk1Yd+9uWeZ15XLjbAqnFOePa0Vx2wXJq2moNyWgyJuW56rbTgasJlHBeFKTpvvJf4i5XaNUHogXdWqGcjXKKlew1HaMzQVI94v9kfMVv2wWfz+XSN1DANsTU2E+svlUpiJNULr3PjUPKz2ZYqJJGoaqmKY2hoaBBXQRrsKD1TaieTyGazgnsznw1hIEIkmlFQGicz0jVudRoKbkgaXckUOX/xeBylUkm0Gz6HEqpm1hUVFUgmk7JODQ0NGBoaEu8kullq2CyTyWBoaEgyatpsNly8eBF2ux1jY2MSizA8PIzFxUXMzc0JHMNo309+8pN46623kE6n5SDTfrFhwwb09vaKzaNUKmFgYMBSzV61apW4vAKXoqTNvcn343g1YeVe4J6h11Jvb68888KFC/D7/eIEEI/HsWXLFkQikSvWWE2ir8+DdjLQWh/71te/WwFKPwcoX3zDbHzW5SR7Lc1baSFXMk4tsWt0gP9rgmwlvVvZLFZ6J7MfE4XgftGFh97N3F9puyYIfTmirDeAJohcDPNaEi72Y4ax8xqbzSY+z4QuyHXZKP3RmFksFsXrhti1PtRzc3OYm5uTzUICmcvlAEB8r1mNnpKkNr5oDSKVSsHhcGBsbExUPO2qScZjt9slaIibWHuocBMR3uG7MxsnDb7aA4efc8z0kacEbrfbhbEwWZl2FeUY6KLJuWAQWWVlJSYnJ4Xgat92HfTl9XoFF2dwk9vtRjqdRiwWE4YZDodx+PBh9Pb2SorihoYG8W7467/+awwMDGDjxo0yz9R+OBdc/2g0CpvNJpCdy+USewQ1Gp/PJ/NH5khXzZqaGtFICC1pX30acPkZmb/D4RAj76uvvorJyUmcPHkS4+PjKBaL+PznP78MvtPnRv/P+SbhMomohnFMWEf3qaERLclqhqD7NomZ1d8mwV9JwudevpxHj5Wkb37G+TAJrP5tGnxNqMhqvHyWeR/fVQuG5nPM8QF4x/pezXZNEHrgnROtOaK5KObfvI/SJPDOyjGm1E5MVMNBvFYbScymJV9dAd5utyORSCCRSMDn8y2Loq2trRWpnNdScgUuWfH5TiQ8c3NzQgwymYykJCiVSuIWSm8OQjZasyGBJYGqrq4WuIUJ00zto1gsiguY9j4gTKShIc4p8+czaRml92AwKJ4uZFa6HCJhGRJeMhLOm9aoaNykNJXNZjE7O4s/+qM/Qn19PX7/939fxpFIJARumpmZwSOPPIJ0Oo033nhD9gcJbCaTEQaVz+cRCoWQSCRk/3g8HoTDYZw/fx6rV6/G2NiYGJHtdjtCoRCmp6elZCJtK4FAAIlEAl6vF4ODg7jhhhvg8/ng9/uFwRAjZtrlmZkZ7N+/Hxs2bMBdd90l8ROMTi5n1NPf6bNgnhPuPS0E6D54vd73pkeJfrYegz4H3Bvvppln7XJnfqU+TKalaYH5fiYaYCXFm7REQ1H6Mz6b86UDMnmGNFzDc2EygcvBWO+lXROEXr8cJc9isSgwh8n5rBbcSorRG97kvPl8Ht3d3Th+/LgQGhIZ4BKxt9ls4ovORgNhsVhELBZDXV2dYN4HDx7EXXfdJf3oPDF8F+2FQY3AhDv0JuD1LD9ICIBj0cY+RuJSmtZaCQDBnvmO+pBqgx8leJttKRsnpVxCLYRJKHlnMhmsWrVKNrVWcbVRkO/GlMUMNquurhZvnEwmI3NeKpUkVoBeTOfPn8ff/u3fYnZ2FslkEsPDw3j55ZclOVmxWERvby9stqU0yMzj43a7RZomsSb8wjGSUFMTqq2txblz5+ByuXDy5ElxkaRf/MTEBCorK0XD4N5lyojKykpEIhEpYtPf349isSgBZ/Taqq2tFRsFq4U5nU7EYjG0tLRI9Sxzz+vf3AN675qQiGbsej/qs8g100KQvt7q7K0EoVwJ8df7UGvg5jX8rSVncz54jUkH9Lvq7/Vn7KechmJ6HZmukuxHnx+uCc8kNU1z3ayg56vVrhlCr9UWqjxapdGSirlR9aRpwy2bFaxRUVGB0dFRTE9Pw+v1ivTIPillm7AJ+yNEkEwmMTs7C5vNht27dyMUCuHo0aOorq7GTTfdtAwS0onFqMrrPrWKSbybhbsBLHPh4z3Ez63UQW42vgMJOXO7sz962VDi5hi5kfWGpZagfctZzWl4eBh+vx92+5KHDmERGpoJIRGuoeZAoq+N4tRUbLalwDHel0gk8OSTT+Lzn/88isUiTpw4gampKZw/fx69vb0SddzU1ISTJ0+iqakJi4uLqK+vx1tvvSUSMmEZpp6YnZ2Fw+GQsolMb+Hz+STSt7a2FtFoVOAjr9cLu90uEB3hKa7j7OysMF3aZOh9ND09LTmFjh49irq6OhQKBYRCIfT19WHXrl1Sb4AwlCnRm+vNH9pMtMcXCYkpefK8mRq0STT1b/NzbXcwpWruU32PJnCaiWhIVhPplSCblT4zhT7NSPT1Jk3RBnNtwzPfw2QmvEdHlHPutUcNz5g2/pLGkSFYBVv9Ou2aIPTAOyddc3WNnWsObXoPaGnE3JwkcIVCARMTExgdHUUgEMAbb7yBjRs3YtWqVcuMowAER2dwDBelpqYGTz75JC5cuCDE0ev1ykJt374dLpcLvb296OrqWjYOSnyaiRSLRUkPQK8OQj88tHTro61A32u6bpVTg/l8MhqtOXCO6CHCgiqlUmlZrhYAAjXEYjEJ6JqampIxpNNpzM7OIhgMwm63w+PxSB6ZfD4vRJPPZd/UFsh0eC3fO5/PY2RkBG+//Taqqqpw6tQpzM7O4pe//CUWFhawceNGbN26Fbt378bs7CwmJyfR0tIiCeOSyaQYVWdnZxEKhSQymQcxnU6La6XT6UQoFBIjsc1mg8/nQyqVQiKREMmeGl48HpdcRJlMBnNzc5JqYXBwUMYSjUYRDoeRTqdx77334pZbbsEXvvAFvPrqq0in0/jgBz+IgYGBZRHbVnYprpmVxKyJtRacNLHTBFATXas9VI7Ym14p5me8x9Ta9We/TnDQSmPW32tBUH9XTgPRTJH0xUQH9Ltq+IwCls5zZDVOPkMbhjXTvZqt4uGHH76qHb6XlslkHuYLW3FbbkpuSC11aIlYbxgSdt5PCT2dTuP5558XCWv9+vV44oknEAgExKhps9mkwDUlKV0B6tFHH0U0GpVNQ6LIz1iUQ+d00R4r5OSEi7jgVO1I6IvFpQLbVVVV8Hg8gsXz4GsmQGy8VCqJmyTHzWeTqOdyOUmgxsIflMDZv5YcNXPN5/MCoVRVVSESiaCvr2+ZkdLpdKKjo0OCk7iRaRvQMQT8XV9fL3g5sWsyXa3yfvOb38SDDz6ITCaD119/Hb/4xS+wadMm3HzzzfjTP/1TfO1rX5MUxV/60pfwr//1v8ZLL72Ef/iHf8CBAwfE8Ll//3489thj8Hq9gs0DSz79L730En7yk59gYGAAHR0d8Pv9mJ2dxbFjx8TVlde0trYiEolgdHQU//iP/4hCoYB169ZhYWEBP/7xjzE+Po4NGzbgn//5n9HS0gKv14vHH38cuVwOp0+fxvj4OL7zne/g9ddfx9atW7Fr1y4UCgWcPXsWdXV1qK2tRVNT07K10OfDbPqsmJ/xPmrQ5WAPsz99pvR505CIvsYkVPqsai3cvLfcO+hIVHNMeh7MZ2jmot0mzT5Mgq8ZEnApJYmJGvBdNRPmu1FI1GfJfLbuXzMVCj3hcPgrlovyHtrVddZ8j43Sm35ZcxNo9VR/rwm5lhBMmAO4lO3RZrNhcHAQJ06cQDwel+RhVL+ZBkDfxyLXzz//vORxAZaiNZmSt7q6WjxKCCO88MILSCaTkvuEY9AxA9pQQ6ZBgs986mQOfE5FxVLhEiZJ4+bgfLJ8Hw8nIRRdnIMMjcVPuDnZB8dHOwMlXUI3DIi6ePEiWlpa0NTUhLq6OsTjcRw/fhxHjhzB+fPnJRUAAHGj1N4+pdJSSgauHRk0DzpdFUdGRvDYY49JVazTp0+ju7sbe/bswQMPPIAf//jHeOihh7B9+3bccMMN+NGPfoSnn34aa9euxXXXXYc333wTL730Etra2rBlyxb4fD68+uqrOH36NBKJBACgsbERHR0dou319fVJwrWhoSHxoiHxjUajiMViqK6uht/vl0pWDocDzc3NGBkZwdjYGGZnZ5HJZFBdXY01a9agr68P+/fvxx//8R/jm9/8Jvbs2YP6+nrRkG655RbU1dWho6Nj2R42CYrVOTGlZ72/TDxZE28rKd4KV9eODVejmVK+fgcA72BKl+tHvy8FNRJmK21DQ7tmH9o2Rw2Yv3mGNLRMpsIx67/5s7CwgHw+LzSB76iDp0x7zK/brhnohgfb9FMFlruNAcvzUQCXAn2A5TmgaWTT/xPzvv766zEwMCBSZjQaRWtrK4BLjIcMo6KiAoFAAN/+9rfFW2NxcVEyKXIc9CjZtGkTRkdHsW/fPnR1dWFsbAxer3dZugI2rV7TiAdAUhkz4EkTV0IRlBY0hsxxk7hzoxIHZ7ZLZqrUODpwycuChsnq6moh1Fry4N8zMzN4//vfj8OHDyMajWJgYEDSH/M6rsvHPvYxCe3nIaSHEeddS1/M5Mn1PnHiBD796U9Lfp2FhQXccMMNuP3223H33Xfje9/7nvieM1PknXfeidOnT+OOO+7A2NgYXnjhBVRXV2Pjxo1IpVJ45ZVX8PTTT6OpqQmdnZ2or6/H2rVrsWHDBoyMjODUqVMIh8Nob2/HkSNHsH79etTV1aGlpUUI+aZNm+Dz+dDQ0IDJyUnJhtna2oojR45gcnISHR0dOHToENasWYOOjg6Mjo7C4XBg165duOeee2RdnU6nGNDPnTuH66+//h1EysTQ9T7SApEVcSSBNqXjchoCm362KaT8uk1L3/p//q3PsL7nSvs2m/aYsYKbTGaqnR/YtPdeubUwNSn+prDFz7RGYPWuV6NdE9BNMpl8WLtxaUlFT4J2WQKWJuOZZ57B4uIihoaG8OKLL8LpdOLkyZOYmJhAPB7H2NgYZmZm8MILL+ALX/gCOjs78ctf/hKzs7NyeCYmJhAIBBAIBJYV+k6n02JMGx4elshXl8sl3i3pdBoul0syHtbV1WFqagrz8/MolUpoa2vDxYsXsWbNmmXvxnfVG5zRlwCW+bUztwvnQHvxEObQBh4A4pdNTJ/wic1mE/94MhMaMH0+n8w3mZL2lGEiNRpgS6USJicnMTk5iQMHDogXCz1fgEuRpYuLizh06BAGBwdx3XXXoVgsCnPi2FhHlxAR4R4aMFevXo0NGzagVCrh7bffRn9/P37v934PCwsLuPXWWxEMBsWzhknVqqurcezYMaxZswbNzc1Yu3Yttm/fLqmX29vbkUql0NbWhsrKSjQ2NsLv9yMYDGLTpk3ipVNXV4fm5mbpv7m5GfX19XA6nQiHw/B6vZJ4jlWu6uvrpQzkli1bkM1m5aCzHsELL7yAzs5O1NTUoK+vD2vXrgWwVHhmfHwc27ZtWwYdlCNwmsCbzYQi9PXl7DlWPvtWUIspfVsZc63GaWL+5eAYfmfCHpoBrMSs6FBQDrIxIS3ueTaeV+0arWmTjtUxx6nfUb8nhR/T601rBQAQDAavGnRzTRD6VCr1MHDJEGGqUsSNtecIpc1169ahoaEBiUQCXV1dkgHQ6XTC4/EgmUyiu7sbq1evxh/+4R+iqakJPT09iEQieP/734/t27fD6XRiampqWYg/DygX9PHHH4fD4UBHRwcymYykULDbl3yp6Uni8Xik0AbdEWnoJRHjZqL2YrNdcvEjoafqls/nMTExIUY/04BF4y0j64rFogTs8EdjnMTo6UkEADMzM6iurobP5xNC7fF4JM6AG5GGJqfTidraWgQCAZw6dQovvfSSaBamcVcTCEI9b7/9NrZt2yZ2Ar4ro3n5blR9s9ks+vv78ZnPfAbAkjH46NGjqK2txR133IF/+Id/QG1treSKSSaTaGxslL6SySQOHTqExx57DBs2bMDY2Bi++93v4uGHH8bs7Cy6u7slz88bb7yBf/qnf8LPfvYzxGIx7N27F+FwGAcPHkRbWxs6OzvhcDjwxS9+EdFoFNu2bcPAwAC++tWvIpVKYdeuXaioqMAjjzyCn//85+js7MSuXbtw4MAB3Hnnncjn8/jVr36FQqGA7u5uyXrJpG+lUgmxWAyVlZXIZDLo7u5ekWheadOERmPY2tfblEStfqz6tWIIKzVzDKbHju6z3DtaGUjLMQsrV039fL1HrRiBqS1pzz4z1kRL+Do+htdQQ+e4ACyDiPQ19fX1V43QXxPQjSZ0JOR64fTE8FpyVl67ceNGWcyGhgZZxEgkIsUiiC0GAgHU1dWJF8gHP/hB7NixAz/4wQ+Qz+cxNzcnxldOektLC0KhEKqqqvChD30I+/btk9zjFRUVCIVCqKiokNzlANDS0oIzZ85gzZo1OHXqlITnU1omxqcXmpsykUiICk9JUI+HRFK7ZS0uLkpYPZ/BnDI6cIqph3kPsXzCKewnGAyKVlMqlSQdA7CUN/7AgQPYdUOAAAAgAElEQVQ4c+aM+PLzOexbu5VSsud7fPe738WHPvQhWRviliygzr2Qz+dRX1+PmZkZUZ9tNpsUEi8Wi/jFL36Bm266CQAkUIklBXkQ5+bm0N3djVWrVmFwcBAjIyNoampCU1MTQqEQKisrMT09jcnJSQwMDIhGkEqlMD4+jv7+fqxatQo+nw+lUgnHjh1DfX09zp8/j/HxcQBLxLq/v18Kmjc2NmJxcSnFQTgcRn9/PwBIrqDHHnsMDQ0N+OxnP4uBgQHk83k0NzdLNlNGxXJPmMSsnHRNDUkTQe2dZsJA+n7zel5j9SzuV91MN0SzmfCLabDkO1ph6ZoRadxeE239TlprNt9Nw0WkOXqu9Xya49BeftQ+NbzMZ9C2xPvoYMAfnhWOQX+mo2qvRrsmJPp0Ov2w3kimsRV4p8Wai13Ov5jX6ORk5ibjT0VFBTweD3bu3IkbbrgBg4ODIs0z3XAsFsPatWtRWVmJsbExnDp1Sgg8VWti0ywS7na7EY/HUSgUEAgElqW55XioynFzM5KUmyiRSGB4eBjhcBh2+6VcNgDEQ8WEuPgdN7A24JJ50Jd+cXER09PTYtjl4SHuTyakD0UwGMSRI0fw7LPPim2ETFMfIi0p2myX0gpodbWpqQkVFRUCW3EM1DpSqRSSyST+3b/7d2KkLZWWoob7+vpw880344c//CE+//nPo6urC0NDQwiHw2hra5Pi4wcOHEBXV5cw+z179uDmm29Gd3c3EokEMpkMgsEgOjo6sHnzZmzatAlzc3MS8dre3o6uri688cYbGB4exvDwMFatWoUjR45g06ZN2L59u8AwPT096OnpgdPpxMLCAs6cOYPt27fj61//Otra2tDd3Y1z584hFAqhv78fra2tuOOOO+B0OiVqtra2FrlcDu3t7fD7/WWJu15vbXi3cle8nMRrdS6snmneCyyPU9HEVV9PgaScK6WV5G4Ft5jjLHddOajKfJ5mBFpCN6ElK4Otji/Rz+c9PG+mBmX1Tlpr5vWhUOi3y+vG5OBXopJyQ9PnW29Q7Tmi/ca1SkXuyxJwXGifz4ePf/zjePjhh/F7v/d7yOVyiMViiEQicDqdOHv2LA4ePCi4fDQaRUNDA4aHh9Ha2oqRkRHcdttt6O7uluIWlPimp6eRzWalXB8XXWsm9EbRtgjt6pnJZKRwifbkMVVGphaoqqoSf2xeW11dLZ5A2Wx2WeY8joOeO7lcTrB+HoKTJ08iHo/D4/EskzyI9evGvnK5nHi2FAoFNDQ0iDGckBQZIcdLreDJJ5/EsWPHxBvJZrOhra0N58+fx4kTJ/CRj3wEk5OTSCaT2LFjh7hKMgfRrbfeim9961tYWFhAOBzGT3/6U3zuc5/D//pf/wsOhwM33HADOjo6cPz4cZw7dw6PPvooZmdncdNNN6GzsxPRaBT79+9HT08PNmzYgIGBAbz44ov40Ic+hI0bN+LkyZN47rnnsH37drS2tiIajeK//bf/hlKphFtvvRU+nw9dXV3o7u5Gb28vjh8/LrEZd955J44fPy5MaWFhATMzM3j11VfR0dFR1n/ebMwtpCVqK0lc77lynjOaEZtNRzuv5MWim2Y+5jnXBJUapvZiuRxsZbpfmwTZqmnCrJ9v9W5a0jex+3LvpBEJPQ6Ok5CqCQnp/6+GkXvZO1/V3t5j40tpnE4TMJP7UsokIedn2qWJmysWiy1L3sR7KAE5HI535KCx2ZY8Vr7xjW/gsccew7/6V/8Kra2tGB4exuzsrHDy2tpadHR0YHJyUrD5O+64A5lMRvKkE0KhUZUYLMfPYhsk3lp6TqVSgrnz+1KpJG6g3BgkpFTZSSy5yfh+WnVkhk69uckkOV5K1CS6TCrW29uLU6dOiVGRNVapYRDqKRQKkhqC78p0DBcvXkQqlcIPf/hDLC4uyjtS6qf2wpKDzzzzDI4cOSIVn0jUfvazn+FP//RPceDAAYG4HA4HSqUSxsfH8fzzz+Opp57Cgw8+iM7OTjQ2NuJHP/oRGhoacP/992Pt2rWorq7GqVOn8IMf/AD/+3//b9jtdtx3331ob2/HqVOn8Mwzz+C5557D1NQUnnvuOVy8eBF33nknmpqa0N/fj//3//4f3G43enp6kMlk8Pzzz8thzuVy+MEPfoCtW7didnYWL730Ejo7O+Hz+dDf34+HHnoI3/72t3Hw4EEprP7iiy9i7dq1GBoaWhZPoAkTm14zTRz5N/eMGXSoiZZmDJoR8DM2vVesmklgtXsh+zKJMs+sCclqKdiEUkwYRhN3jlsbjs25W8lTRrtDsh+TwJt/67nWTIFnmTSHghT3Lp9TKpWWpUwux9x+nXZNYPTEcE2czsTe+Dkn0fQCsMLqVq1aJZKguXm5mAy950JRisrlcvjSl76EXC6HmZkZwWybmppks0QiEVRWVorqXVFRgaamJpw9e3aZsfXs2bNoampCOp2Gx+NZFmmqMXgSQqbVJd5LN1BmPwQu5a2hdKgTqRGuyeVykhRM5/3XBFETf46HmT15LZniyMgI+vv7EYlEEI1Gl6UWzuVyy7Iy6vXRBIn9UiMbHx8XY3Imk8Hw8LDUjZ2ensYjjzyCVCqFV199FT/60Y9E28hms7h48SK+/OUv4+6778a//Mu/YNu2bQiHw4jH43j++edx33334a233oLT6cTExAROnz6ND3zgA9i4cSPq6+tht9vx6quv4rXXXkNfXx/27t2Lnp4eDA0NYXR0FBcuXMDw8DA6Ojqwb98+jI2N4e6774bT6cTRo0dx7NgxZLNZbNq0CS6XCwcPHsQPfvAD/Mf/+B/h8XgwODgoZQlPnDiBsbExbN68GblcDl//+tfxZ3/2Z/jVr36FD3zgA/jFL34hhvVcLoeXXnoJx44dw/vf//5lyeT0ftfEzwpuMZmDiVnzM54vbSDkd+yrHP5uRaD0/ea1Jrxjdcb1tfrexcXFZVqkZlLms6wY40pNax4mc9BMkM/VTEWPQ9MpjftrumNC1dpO9pto1wShZ4SnSRzY9ORxIniPvkYH+XCCtcHT9IU1JXngUs1Wh8MhtUf/6q/+Cs3NzYjFYigWl4KnKHky6VVXVxdOnDghRalnZmbQ09ODwcFB8aIgM2PSLvrD8ze9YBiuz+IYJNiEWHgNALlHB3bQN55wDCNttYTB8P1kMikRsmR47DeXy8Hn80lN1lwuh3379ommwWfU1tZidnZWtAR64NATieOjoZfSCyX9N954AzfccIMUcJmdnUVbWxvS6TReeeUVHD16FG1tbVi/fj06OzsRDocBAENDQ/jrv/5rnDlzBm+++Sb+6Z/+CR/72McwOTmJzs5OfPGLX8SvfvUrpNNpTE1NYWpqCtFoFHv37kVVVRX6+/vR39+PQqGA1tZWbN++HcViUQqJZzIZNDU1oaOjA3Nzc1i1ahU2b96MTCaDgYEBuN1u7N69G+Pj42hvb0cymURLSws++9nPIhqNore3FwsLC1izZg2ampqk+Homk8FDDz2E66+/Hl1dXfjMZz6Dvr4+PPPMM/jwhz+Mb33rW7jpppvQ1dUlJROtjKdsJJyakJieHbzXJF68XhMY7RGmjbj6eeUwfBMvtyLc+jOeTX0GTeKum5Z8zX6spH8r3N5qDk2tw4pBmN5BFOKoBeiASMba6Ih49st+tAsrhSTTrfVqtWuC0Jsvp1VEerWYBlUSFODSZrYy9OgNZOaD0QeEBJCLk8lksGnTJjzxxBP4H//jf+C+++5DqVRCe3s7xsbGJMx+YmICwWBQ8pOn02mEw2E50PF4XIhdVVWVeFdwPC0tLXC5XJL2lhANJV673Y5gMLhsfOybjIbzRCme0ZWEUHTKYQDiG064hH7v1B4ImzBxm8PhQDQahc/nkxKBTPHLpGClUmmZ1Mm6q4wcXlhYkMjRhYUFNDY2YmBgAAAwMjKCqqoqNDU1SSZIGsO7urrw5ptvyppoxv39738ff//3f49XXnkFP/zhD/FXf/VXqKysxOc+9znE43G8+eabiMViiMViaG9vR09PD1KpFM6fP4+33noLdXV1aGxsxJ49e8QOYrPZJNUEE6DxN4OZyJy5v2iIplZFplgsFjEzM4N0Oi35+5mvh2kTPB4PEokEJicnYbfb8cQTT+DOO+9ENpvFfffdh9bWVllzMmIT8+V8WME7JKKa6KzU9HnRTEKftyshRCbubN5nEmZTCFvpHitmwnctxySstA1T+jbxdH2t7k/PMcets8hqzdwcO4k+P6OGq1ODaOjoarVrgtDrpjeHjoY1PWtMLNCKs1OyoUpmLryVEZNSsM1mQyAQkILRJLQ33XQT/s//+T8oFArYsWMHjhw5IgTQ5/NhfHwc4+PjCIfDQqDpPz4wMICbb75ZXAlTqRQmJiYAQAyw1dXVaGtrk8x3lZWVCAaDSKVSUsjaZrMJJEOcnFIYPXfIDEiQmYVRH3h6+FRXVwuR18nTSMzIfDhW7a5K10gSerfbLfBNMBiEzWZDOBzGwsKCjJ/FurUWc/78efj9frzxxhuor69HNBoVj5yPfexjeOyxxySfzsTEBOrq6uDz+fCpT30KLS0tCIfDCIVC2LhxIxoaGuD3+1FTU4NAIIBsNovp6WlMT09jZmYGb7zxhhB2t9uNRx55BIlEQlJPcx7y+Tz8fj9SqZRoIvwhc2ecwvr166X4DNecxnMmdxsaGkIikVgWwdzb24uJiQl4PB7U1dUhHA5jbGwMu3btwuHDhzEyMoJdu3aJ3UITAJPgaojAzA9jCkPlJFt97btpJkZu1fTZNiVcE6ax0mDKSeTsR7+b/q2dLXQ/VnNpMkqt2VhJ+/ozTatIb3RKYtpstCFcQ7jApVoU72UNVmrXBKE3F5ObVHNovchaBbTi2qbBxMTStDpqLjBVL9oNqqursXnzZoRCITz55JMSdj86OorXXntNNqnX60VtbS1GRkZw4403ivTf19cHr9eLgYEB0QR0ngsaTukyyWhbqnKFQgHJZBKJRALZbBaRSESIFwkt34eSeaFQEEmcUkY2m0VFxaUat7yP/TBdAqNQfT6fEDebbck1cnh4eJkvPaXbdDqNtrY2jI6Owul0CoOJxWKYnp6WA9jS0oJAICDaBbWDUqkEt9uNtWvXSnqDvr4+vPzyy5ifn8f27dsRDocxMzMjyeKamprQ2tqKnTt3YmZmBj6fDwAwPDyM6elpiWBm+oZQKCTfpdNp8ftPp9NobGyUCFRGRodCISSTSTQ0NGBwcBDxeBxerxculwvpdBo/+clPsHPnThw4cAAf//jH8bOf/QwtLS2YmppCOp2WIiUXL16Ey+XC1q1bsXPnTni9Xrz++usYHx8XOC8YDOLTn/60FCqhrz4hxKNHj6K1tVXsGO+l6XOl9/tKUIV2kiiHzwPL8yJZGXm1tmFi6aZkb16rx19OO+D3VtK8phnms7Q9wrRHae1Fu0myT+7hcpoCib2mM7RJaccQni9qAG63Wxwfrma7Jgg9X0rjddyUmtvTAKvhFnNjceK1P2y5DWA27dJIlapQKKC/vx8dHR249dZb0d/fjxMnTmDVqlWS031xcVEgDAA4fPgw7rvvPnHNnJycxI4dOzAxMYGpqSkMDQ3JtW1tbcvUP0q8TJlcXV2N1tZWCaLJ5XKYmJhAqVRCOp3GyMgIvF4vmpubJc0viSvjDFiiLhAISEZGzqvdvlTBicyHa8CgKqZeIIwTCARkrNR+crmclAakphIKhTAxMSGBZBz/xMQEuru7EYvFxLOHieTOnj2LO++8E9XV1fiDP/gDiSTmIdTwQTQaFa2D4yeRSCaTYjgnjFVdXY35+XmMjo5Ktk0yKq/Xi56eHmSzWdFsXnvtNTidTqxZswZ//ud/LoeVScwefPBBzM/P46tf/SouXryIP/7jP0YwGMT+/ftxyy23CJRz8OBB7N69WzSvp556ClNTU5iZmZF4hkAggPr6egmwolcRjesVFRU4e/YstmzZssy+UY5AWzXeY2XIXEm651qb+Lm+XkvSpuCliXa5Z5Qj7FZ/s5neQVawi3nWrb7XHnr8zrQDAMuZnZXNwnxvXmtqVTogVGtd/FvXIr6a7Zog9Jpg67BhLcVr+EVPoA7h1kYO9qsn2sT2gOVMho3Pov891W/mx6G0v7CwILhyY2Mjent7cfvtt6Ovrw8AMDExIbVEX3/9dVRVVWHr1q24cOECotGoSGulUkkONgDs2bMHa9euxdmzZyWdAnBJAiCzY2KyfD6PixcvAljakE6nU9IZeL1e0QqoJSSTSXkHQjg1NTWSi54bjukDPB4P3G43BgYGkEqlEAgEJBUCiWxNTQ3cbjdKpRK2bt2KL3/5y/gv/+W/SBZPFh1pbW1Fb28vWlpaluGczEE/NjaGBx54QCAhlmHkehJOCofDyw6ExkQzmYyU6uM1c3NzOHXqFDKZDCKRCEZGRoRReTwebNmyRebH4XAgHo9L5s26ujpMTEyguroaf/mXf4ldu3bhk5/8JHbv3o0XX3wRjz/+OC5evIiGhgb8+Z//udTYBYC77roL9957Lx599FFMTExg/fr1YoQ+evSopDoAllJRmJlBAQjEpQk1f+u9bu5j4FJ+KNObRn/Pz7VEap4Rq7Ojm0mMTTjDSgM3r9Xjs5LYNbPRPuymFG41Hv25Cd1wnHqe+L2OPuf1phBpNWazP70/NV3TfZtoxdVs1wShJ2xhxdnNDcNGaU7fq9UpTiJwyZCkXbp4LVUn7dcLLFnB0+m0LMLc3BzWrl2LF198EcViEZFIBLOzs1JtiFGULpcLwWBQjHDM3c7qRG+99RaSyaRkxST8wkRcbrcbfX19ePXVVyWYi2q73++XKkgMKvL5fIIDcuxVVVWYnZ2F3W5HNBoFsHSgKa2WSiWEw2F4PB54vV6k02lkMhk4nc5luDnnlcRHB0QtLi7C5XIhkUigs7MTsVgMwFIGz1AohJqaGkxMTGB6elo8d/bu3SteNdPT06IF1dTUoKurC/F4HOvXr0c2m8WBAwdw/fXXS91Zbn5tmOdhz+fzkq4ZgDArSsOlUgmBQAA9PT1oaWnB9PS0MMaFhQX4fD44HA6cPHkSL730EgYGBhAOh3H33XfD4XAgkUhI+cFvfvObeOSRR5DNZvFv/s2/QTabxZe+9CVcd9112LNnD1wulxhObTYbnnzySWzZskUS6d15551wOBzLCDcD3IrFIubn5wXWK5VKy1R6HbnMxjlYyZhJ4ck0qJrEVcOcuk8r4l5OSi73PcdqRWDLad3mOLV2X86t0pTseaY1EqDv031ZBaeVQw20xK5plGaKtIlR2yQz4rpTGNCIhdV8XI12TQRMAZdSA+tFssLP9aLoXDNmHgkuqibkPEy8XxtDGHREaauiogIDAwOw2+1wu934yU9+gr/5m79Bb28vqqurMTAwIKlpAQihOXv2LFpaWjAyMoLh4WF5Xjqdxv33348XXngBt912m9QwpWTW1NSESCQilYdmZ2dx7733Ih6Po6mpCT//+c/xvve9D8PDwzhw4ACOHj2Kubk5TExMSGAT649S9ad0SiK1uLiUw4aFtaempnDhwgWkUimRHmnk1SmVmbO+VFrC0gFIioCFhQXBoQlP/If/8B/w1a9+FRs3bsSePXsQCARw//33Y25uDsFgEJlMRmwIhUIBDocD586dw7p16/Diiy8im80iHA7D5/NJ0BQNzjSA0h00Ho9jbm4OsVgM8XgciURiWTEVZr9k/qJMJoOZmRnxrJmfn0coFJL5GBsbw/j4OILBoBTxJjTHg7phwwbMz8/jT/7kTzA6Oora2lp88YtfxCc/+UkRIOj+evvttyORSGDv3r1IpVI4fPgwzp07h9HRUVl7alapVErGmc/nJbd9Op3G1q1bl1UG00SS+1XvfX2ugOUQhOmdYp7DckFOpgBGgmdeY8IaWhLWhFN/Z3r0aGGNjFO7Ker+2a/Vd5oR6LmzglvMOdPzxb95nw524lipAWjiz3vpckmapNeAnzHFh7mGV6NdExJ9qVQSbwbNhU28jJNHjqg5vN5EnHydIoDSM63a+n56r+iSeYuLi/jYxz6Gj3/84yJVVVZWIpVKYWRkBN/5zndgt9uFwNTV1eH8+fNYv349xsfH0dfXt0zacrlccLlc+OxnP4u3335bxv3000+jsrIS58+fx+DgIG6//XYZY1VVFf7sz/5MJN8HHngAH/3oR1EqLeHQp0+fxszMDDZs2ID169ejWCxidHQUhw8fxsWLFzE0NIRisSjwkWaWlD5WrVoltV8Jn/j9foFbuD6cF0I5ZJraLkJ3z/379+PZZ5/Fxz/+cRw6dAh/+Id/CK/Xi82bNyMej+Oee+7B1772NezYsUPSQUSjUQSDQbzyyis4c+YM2tvbsbCwgEQiIR5IzKi5sLAAj8cjxJ6MjWOhJEVsn1BUMpnE0aNH0d/fLwerUChg7dq1sNlsWLdundgXcrkcXn75ZXzwgx+U6+bn5/HQQw9h79692Lx5M1599VUcPHgQ9957L77whS+gWCziO9/5Dh588EHEYjGkUins27cPPT09yOfzmJ2dxc6dOxGPx6VMI9flySefxIMPPoj6+np5HhvhQvPw830JL/AzTSisDKgrfVcOmtEar8aPTYleE1XdJ891OU3AynNOMw39vXm/CeXqfvhMMkM9V8AlW5M5Pxq3N5sJG3E85tyQyVAA4nWETUnwOZ6KioplGXyvZrNdbRXhvbSxsbESpWvgnZnbrDB2LiyxZOAS3q7/194CeoIJdXADmE1j9HphSTi/8IUvoFQqiafFyMgIWlpacPLkSWSzWQQCAbS0tAjs4/P54PP5cN111+Hb3/42SqUSfvd3fxe/8zu/Iy58U1NTWL9+vRBY+mcDlzQeh8OxTEohQ+M8keBRWmZyrfHxcbz00kt48803UV1dLbAL0/smEgk0NDRgfn5e/N2bm5sllYPT6cSPf/zjZeujx1BXV4dcLoexsTG0t7dj9erViEaj2L17N86ePSubfceOHXC5XDh9+rSUcBwfH4fD4UAymYTNZsONN96INWvWIBAIYN26daipqRHJnmkY6ELqcDgQi8UkmpRMgSl/ySQJPcViMfzkJz+B2+3GqlWrAACf+tSnJHVDPB7H8PAw6urq8NZbb+HDH/4wbrrpJpl/AOJZpHPyaCMdIT9CYLFYDPX19fjqV7+KyclJ8aHv7e3F6tWrkc1m8YlPfAJ79+59R9CMiXNzL7BZEf+VPGSsoBuzmfeuhHezL92fFdTKz60gHf2/ySA0PFKOUWhpXsOwPCc84xROLictm/E2VvPCOdbCE4k24WRz3Uw7CLUUrrc5rk2bNl21yKlrgtD39vaWnE6n/F9O4jAJPrmfxqdNVZBwhXY15IIQu6MxkX1rKUIX9+X1NpsNu3fvRk9PD6LRKK6//nqMjo4KExkYGEA2m5UI0kQigXvuuQfz8/Oora3FoUOHEAgE8Pd///fweDyYmpoS1Y71ZgOBgMAtJN4cs9PpFCZGGwAJKRkfpQUabSk5MnEYAJw7dw6f+MQnUFdXh2AwiMbGRpEGGRRFdbm5uRnf//73pQhKqbTkJz8wMACv14tAIIB0Oo1NmzZh//79+Iu/+As8/vjjuPfee/HUU0/h9ttvR1dXF77+9a/j3/7bf4sTJ04gFothcHAQ09PTssb5fB6bN2+WueIBpWGW70cNjV4KZMgmpMBYBEpWqVQK0WgUHo8H69evRyQSwalTp8TNNJlMIplMCoNbvXq1GLgnJyclMI5ZS0ulEk6cOCHJ1Lgmp06dQlVVFVatWiWBcTR6k0G88sor6OjowF133YU77rhDEvSZXmh6X5KgrWS0NGED3VZiApc7f1Zn0cTWTaLPz02JXY+bBFPb0LiuJq6uiWY5ZqHhKX0vgGVeL6bEb96jmykMmvOsGb05N9quoOdUr7OpbS8uLmLLli1XjdBfE9ANiTzVbXpc2Gw2+Zvf04ipNz2NhVo90wfB7XbL5AGXrPbaLYxBQSRyrO7EIhs6DazD4cCaNWswODiIQCAAu92Orq4u5HI5pFIptLS04PTp0wCWDk0oFEKpVMIPf/hD/Nf/+l+F+DJKlAZHAILPM/KWRD+TycDr9aKyshKnTp1CQ0MDPB6PvFcsFluWLoGYLSMvvV6vbDhKuO3t7Thx4gTa2towMjKCY8eOoVQqiY86vW3ojeJyuRAIBJBMJtHe3o5wOIy5uTkxJhcKS8U0mB7g3nvvxbFjx1AoFLB//3688MILGBkZQU1NDbZs2SLG2unpaRSLRQlEGhgYQFdXFwqFpbKPuvA5NS0dfcoqVVSdiakT66ZxNpPJIBqNShxBKpXC0aNHUVVVhUQiIV5ViUQCpdJSLqDh4eFlQWnM+BmLxYQQNTY2YuPGjQCAZDKJZ599FrlcDsFgEH19ffD5fGhubhYCz+C3G2+8EQ899JC4sGpM2sSsSYysDIi66XOhoUMzpYFuJkG/HCMgTKrnnLYyjpXNFM6spHoNu2gXRl5jSuhMp6HTiuhrtZFe536ygns0vMKx6USJ7Hd+fl4EKP1upmOAfi/9DNIProOGaXg9+7KC6X7ddk1I9ENDQyVKm4lEAjabTQILKK1zkrS/q+akeoEBa5XL3MDaS0drBCQm/L9UWso46fV6sbi4iGg0ioMHD+Jf/uVfUFFRgba2NglIcrlcGBwcFL9yFgj5zGc+g7/7u7+TwJ729nbcdtttGBgYQHd3NzKZDGKxGHp6ejAzM4MXX3wRXq8X27ZtQ0VFBZxOJwKBgEiJADA2NiZFM/x+PwYHBzE3N4fz58+jWCwiGo3izjvvREtLi0jo1ACqq6sxPT2NH/3oR3jqqadE2iUx0hJVfX095ufn0draik2bNuGmm27C0NAQDh06hNOnT6OyslK8RVpaWjA0NIRbb70V99xzDy5evIjjx4/jzTffFIPv7/7u72Lbtm14/vnnMU4LEXYAACAASURBVDw8jIGBARQKBUQiEXg8Hilm8r73vQ/RaBQulwsVFRWIRCKSNrlQKKC2thbpdFrcPTXWyb2gM2n29/djbGwMjY2NcDqdEqlLO8fk5CSy2azERzidTjgcDtmLfr9/Wbg6vWCY4dNut4s9hPtobGwMFRUV+OAHP4hUKoVPfepTGBkZkXGVk36tJG9NAE3p0dzrnAc2K2LKZkVU9PfmM1aCfUyNQxMyE8owIRkNSZn3mZq27s8cownn8B4Kj9TwTK1AS+Xs08oQa84dP+e92gZGpkQYsZyHkGmHyefz6Onp+e2S6Lkg6XT6HRilJvK8tpzEYW4ULQmYm4r4PheETRfPyOfzYoRbWFjA1NSUjKWzsxMbN24U329Gg05NTSGVSkm9UK/Xi0996lOSZuDee+9FJpPB8ePH8X//7/+F3W6XikZjY2M4fvw43G63SLn79+8XKWB6ehp2+1KQT0dHhxTuZgAXJdZMJiMSP4tjuN1ufOQjH8GvfvUr1NfX46c//SkAiITrdrslyRlhDBLXDRs2YPv27RgdHcXatWuxc+dO3HzzzaisrMSFCxckpzwA3H333fjpT3+KdDoNr9eL1157DfPz84hEIhgfHxfDd1tbmzyDmzuRSCCRSIg/Pot77NixA4ODgwCWJOZicSl1AQkr++RBq6mpEYye3kN0j+3q6hLGHY1G0dnZKVqLy+WC1+uFw+EAAIHimHGUkcrAEmzY39+Pvr4+LCwsYHp6WoQDaiEPPPAASqUStm3bhg0bNuA//+f/LMyEGoJpvAOsczdZQZSaYPNa7SKoJUVN5C/XNJHW49JNE1N9Lb8zjbLaM0aPXxNwHeXNc8hGmqANr+xfB1dSGtcGadIX5mKiYKefrb2M9LuYGgbHTsGCz+d1hHmJDNjtl7LCcr8Thi0HEVE4vJrtmiD0Gk/W6pBWQQk5sH4sCbHGBcmtgUu1Uz0ezzLsT+O5+hk60RiJe6l0qZAzo1xTqZREXN5999345je/KQmwotHoMn/n+fl51NTUoFgs4pe//CXWr1+P8+fPY2RkRFIfMysmc4+nUinZICwlx/GyeHmhUMDU1JSU3WM0LOEnYImAz8zMiHaSyWSwb9++ZdWpCO3Qi8nj8WBxcSkFsM/nQ1tbG+x2O5LJJA4fPixMeH5+HhcuXMBHP/pRPP300zImBn0VCkuFRYrFIuLxuBhEC4UCmpqa8Oijj+K+++6TqlY8oHV1dejv70dDQwPy+bxkA+3s7MSzzz6Lo0ePoqamBuvWrcPs7KysFQAhntxLwWBQjKaLi4uYm5tDLpcTQzfTKLDC1OjoqOTo8Xg8mJ6exuLiImZnZyWpGQ8pDzW1IHrwsC0uLsLr9eKNN97Ak08+iU984hPIZrP43Oc+hyeffHIZBGBqorqZ0qYp5WoJkIRKE0/TGeFKifxKOH457QN4Z7pvXqvjGdh0tC2vNyOgNR0wmR/fz2azSZpunnMrrxjtbUMiq21uul9Tq+K8cxylUklsaib2znv0Z3qOCHdx/+i55JxoT8Or1a4JQg9AcGutNpm4Hg2mWgI34Ry9SNo9UEv2enESiYRgjFwY5n1ntkTmlmFue27IWCyG3//938ejjz4qYfeUXjs6OlBfX4/a2loEg0Hpe2RkBDabDS6XSzbLqlWrpLarw+FAMBjE9PS04Or08Jifn8fq1auRz+cxMzMjAUyEGnh9VVUVotGoeO3wHXkYSJwIRdntdoExWlpa0NzcjFKphMbGRgwODmJoaEjK3hFycLlc+PrXv45169ZhfHxcsmASF7fbl6p1sYA4APG5v+uuu3DmzBnMzMwIkfR6vZKeeGhoCK2trejv70exWMQrr7wiCdNSqRQuXLgghV7y+Tyi0Sg6Ojrg8/mwadMmdHZ24lvf+hbWrVsnzFfDgVzraDQq8ROm/7PX65W0w9FoFPX19YjFYli9ejUmJydRWVkpuXq4f7VUXVdXJ3WGA4GArCcrT+k9yf16OaKsJVDNHEzPMsJLgLVDg5UkqZsVNKLHYI6HmLNOHa6FKw0Xac1aS88UPDgv2pdfC3P8Tp95ugXr6/TfnBNN7DnfWgPQ71cOQtNwm9aQNOSjiTyJuqkxkPFpzeRy6/LrtGuG0POluYiaIAPL/XPpb2/igfpam822rLQaJzGfz0taAUqgJJD6ObpwLwBx76Oxr6amBsFgEPX19Vi/fr14kLAw9eDgIF577TW0tLTgmWeewezsrBiGQ6EQqqurcdttt0k4PlPfzs7Ooq+vD83NzQL3MKd8XV0dkskkRkZGBPMjo2OyNI/HIxpHJBLBxMQEdu7ciRMnToj/OfHK6elpgWxmZ2dRU1ODVCoFAJK1s6GhAW63G0NDQ5iamsItt9wi6QR6enqWeaLYbDaMjo5ibm4O2WwWFy5cgMPhwLp163D//ffjK1/5Cvbu3Qufz4exsTF84AMfwL59+5DJZFBZWSnlF10uF+bm5pBKpTA5OYk/+qM/QiaTwZkzZ9Dc3Iz/397XxtZZ1v9/zjl9Om3Xnj5udFsng82tEwNsOCYBf4sB5B1RAzEaX2jiGzEa9soQkL8hvjERExIfXhij8bVRAogxBhBQFMoGwtgcY7SwrS1dn9u1PTvn/F80n6uf89l1n02tSdPc36Rpe859X/f18L2+38/34freW7duxdtvv40jR47g+eefR2NjI9544w3U1dXhjTfewKFDhwL65m+e+FWzme4TuooYTKdQoFLMZDJhzaanp7GwsIC+vj6Mj49jaWkJ+/btw8mTJ5HL5YL/nuctaGlR2d96660hkEghQBch+VVBBwWSIligGuyQx1WIJaUNuzAh38/OzlYdrHP/N384n7o/OXfsA11fJN3PqgBU0NE6J9hTq8fdtXqfClD2hQJaz1jEXCWKqmOI3F1jMStH3cOqIFUB6Pyp600VnVtma03rStBzgmKMoBqaxL+ViTRIC6DKXGN7ROx0VwCoOgBEhlU/Yj6fR3d3dyj+ValUApIoFovhHbLAyilZbt62tjacPHkyvOpvdnY2ZBfNzc0FYcOXiDc3N2PXrl344IMPcPbsWdx1113o6enBX//6V7S1tYW3GS0tLeH9998PeeXDw8NYWlrCzTffjJmZGXz1q1/FhQsXcPz4cZw4cQLFYhH33nsvjh8/HtCq5qbzp7OzM7xgpa+vD+VyGe+8806oa/Pqq6/iuuuuw7vvvhsqP3Ke6Mrgy8OPHj2KI0eO4KWXXsILL7wQsmduvfVWfP/738fhw4cDKtdX7zG4WyqVcOedd+KJJ54IPvlisYjW1la0t7djYmICb7/9Njo7O8PJ3MbGRvzqV79CW1sb2tracP/99+Pvf/87tmzZgmw2i3vvvRfNzc2h7AMFCq2Jnp4eDAwMYMuWLahUVur2vPjiizh+/HgQtrt378axY8fCi7xPnjxZJYxzuRy+/OUv4/HHH8err76K+vr6UElz9+7dKJVKITCYy+WqBKMLEw3SOe/r6yQJbDxQGPMvcx+of3p5eRl/+MMf8MUvfjG0TSHo+0z7owKNClX3nX6n+zfmAnKkr88lAubf6pbhGQjNztLiYFR6fghN55LjiAFLd6N43rvKH21T4xj6433gWDz2sJa0brJuNF8cuNxE5G/1UQLVvjcAVachueBcaDIUkZOaitTuZAgGJOlSqqurCwW86EOjwiB6YOYMU86YUqUVICuVlZO4IyMjobTA6Ogo8vk8Ojs70dTUFI7Hb9u2DcvLy1XocGFhAdu2bUN7ezu6urrw/PPPY8uWLRgeHkahUAjzRz/3+Ph4yOVmqd6xsTHMzMyEl3K0t7eHDKGPPvoo1N2h1UBlVCwW0d3djQ8//BDASv2VT3ziE3jqqadCETUAOHz4MP74xz/ihhtuAADccccdePHFF5HP53H33XfjmWeewfT0NE6dOoXe3l68++67OH36NI4cOYI333wTExMTmJqawt69e/HAAw+ECpFLS0tobW3F17/+dTzyyCN48skn8eMf/xhtbW0hT33v3r3Yv38/rr/++lC1k0XGVJjoeYK5ubmgWDZv3oxXXnkFP/zhD3HmzJmgDJnPTyHD9+RqbIn8+LWvfQ0NDQ34zne+g0ceeQT3339/qL9/8803B/7Sg2eKLtmWCmVaTCSPOSm61liCWgdJpPc6ElVy1MrfGtisJch9XzuIU0Tu12ofeI8qLN5HV4z66amUKPzVXabPquU60RRVnldhoFWVEJ/p41ClRL7ROl0KTnntDTfcsLGybjTKrpPlfks1k1wDk2gKM7CmSEgXxE1PmlV8Bs1wRxNq8mez2SqTlUJdrQqNPfBZxWIRXV1daG1tRblcxvDwcAhaFotF9Pf3B6ZluWKmBJ49ezYI7cbGRtx3330oFou46667go+cLgXWjn/vvfcwMDAQMkeAFQsmn88jn89j69atWFhYCMHelpaWIMgAhCJsdG3w4A8ADA4OhjdN8cwDX6B++vTpUFL54MGDuOaaa/Dss89iaWkJMzMz+PjHP46hoSG0tLTge9/7Hu6++268+uqroUzz9ddfj4997GM4f/486uvrMTc3h5tuuinEDjZt2oRnnnkmWAn79u0L8/jaa6+F+ApdQD09Pejt7UVvb2/V+tN9RQV+22234Qc/+AEKhQImJyeD75m/WemTwpcggIH7kydP4ty5c/j973+PV155Be3t7chmV14hOT09HeaKVh8FObCKXjn3BB+ebQNUHyrSnHmWiWDtfFqtQPykre+TmLCNoWxvw/diLKirqFaFLtMQgdWidLq/va/8TgUwfeZ6wJCZPADCaXG1CHTe9Dn8XlMxOfd0cTH5QRWgWzuukDUWxDXUddV6X2tJ6wbRqz8VqA42qRuGGyuGUjixWp7WkQU3qEe8udBE4ouLi1VC2v1p9POrwFCmVUTFbJXm5mbU19cH9w3HTMXBGjJ8mcfMzAyam5tRqVSCAmGxK7p6+vv7MTExgZGRkXD0nxUU8/k85ufnsXv37qpnnz59Gh988EHwa2/fvj0w6NDQEAAEPzrHwxRErWxJYXLddddhcHAwHEJqbW3Fl770Jfz85z/Hjh07cObMGVx33XXh/akvvfQS2tvb0dfXhxMnTuDSpUs4cuQIfvazn4XA59TUFB566CH89re/RalUwvHjx5HL5XDttdeivb0dBw4cCIK9oaEBAwMDGBwcRLlcxmc+85mqejEsScAspIaGhvCeV74RK5tdOQz1m9/8Bvfccw9GR0fx6KOPhoNss7OzoSAbUT75ZX5+Hrt27cL58+eRy+UwNjaGhx56CI8++ihmZmbwwgsvhBIYmgbKWvoUoDwZS8tRwQZ5S2uzUMC5O4DWMQGPIlk+W4V2ErlQVlJBrG6ZJCvA/fP6DApSBvTdhaFKhYf9OPf6nbpSmD3GfcO4hbp3df/q/MUCsJRNHp/QceohT7avY1BAqXPrLhyu7YYrgTA8PFzhZKofTdFKbDL0Ov7mqUkurCJxNTGTzMNKpRJQEN0ydOPQd0wlROGoKW1MZWQAiM/gpqVA4bOYdcLyw0SNTA3lvbz+4sWLQWBRII6Pj4dMCyKC3t5eXLp0CV1dXXjjjTeCW4Zocvfu3XjhhRewY8cOACvB1wsXLmB6ehonTpzAwsIC7rvvPtTV1eHNN9/E0NBQyO3n/FGxdHZ24p133gnju3jxIg4ePIhjx45hYmIC3/72t/HTn/40vOLvzJkz2L59O5aWljA8PBwshAcffBBPPfUUBgcH0dzcjBtvvBFf+MIX8OSTT2JhYQFHjx5FX18f2tragtCdnJzEY489hjNnzoTsp9tvvx179+7Fvn37MDExga6uLoyMjOCaa65BR0cHvvvd7+Ib3/gGnn322WCpjI6OBoS9sLAQ3nPL9NyRkRG0trbio48+QqFQwPLycvALs8TG4cOHMTg4iJGREfziF7/AAw88gJ/85CchhbWzsxPAKrJkOYQYMY5DK4H/M/iuIEQDeW6xanaHWsnq9lBhqYJZUakKKt03eq3uK17rMTd9jgpdrfmiAC1mgQPVPnRXNOoZ0DY07uD9U6GrCN4/j6F0B5MxV4wHZRU00prxvqzlgal1I+iB1QVRRK6Lp0yr/Sbj04xzbUym0s9dYShT83lqtul91NxsH0AVEqGA59F8X2gii/n5+SqzkpsXQJV7SOu5cJwqVAGE9Eui15aWllDoi+NjNkyhUMDExAS2bt2Ks2fPIpNZKQ/Q3d2N4eFhNDQ0BIG8sLCAlpaWEPBdWFjAhx9+iPn5eUxNTQVX05///Gd0dHQgl8uFIOfu3buxY8cO/OlPf8KhQ4dw/vz5cMq1XC7j5MmTmJiYQENDA+68804sLi5iZmYGr7zyCj71qU/hySefxF133RXmcWFhIShDZuZksysndxcXF8OYW1paMDw8jAsXLuC2225DT08PJicncerUKYyOjuLChQtoa2tDfX09uru7MTU1FeaX7hoGy/m+VxZ/y2ZXzhX09PRgy5Yt6Ovrw1/+8hdcurTyWsL9+/fjn//8Jx5//PFQfG1ubg579uwJYIMHrzgPdDXQumOJBKL6UqkUkL+6AckrTCNWdKqCji4GggjNaVdXkN8X87f7HqvlzlGipc3reG1MEehBJHWtqhDnXojlnLug17b1fiXNWHL54e4jdR/HFIwqCVWSalnpmNV1DaymyB48eHDjCnoyBJGO++STKJaCluTHj5mtHg8AUFXjhO2oa0j7TGROxK5BW71XTUxg1bTlJtCTdXT3qImp1TfpwqIwJ8pmzjxz6PmCFtZU50ZnrfWpqSls2rTpsqPhk5OTGBsbC0W+RkdH0dXVFdI5y+WVoOY777yDU6dOYXBwMLzzkvNQKBTQ19eHhoaGkPu/efNmTE9P48yZMwFFDwwMAACOHj2KlpYWfOtb38LU1BR+97vfAQA6OjpQKBRC6WW6TlhXnm8AIxJvbW0NaZubNm0KxeOampowOzsb8uKJtmmdUAHwfAPf+rR9+3YMDw+HOExPTw927NiB/v5+lEolPPzww/jsZz+L5557Dk888QRaWlqwdetWTE9P4/z58+H1gupD5glItY4uXrwYFAvHRtBB4QcgZClRgDMoyP1CntHkBEf/5D/fG8qfqjiU593t4b58P+ui6Fdljgp6Kh21PrQfjtaThHZM2bm7isJYg/Tq1mI7Om5tm67XmMLguvJwpx/U0ja5RuyTJpZsOEQ/NDRU0QXQYj/KoMpcfvrNTVOgWvirZgWqzS5aBGQy9QHyfzIDTUz1tXJjKWM6EyqDaroZtTzT/Orq6rC0tBQ2MU9zUkCwP+ybCjUdC32FRJpzc3OoVCro7OwMNW/4OkQGhKamplAoFILwo9Ccnp4OJ2337NmDY8eOhWfs3LkT//jHP9DY2Ii33noL7777blUwl2mF5XIZO3fuRC638k5cVvgEVjZPR0dHyPmfmprCj370Izz44IOhvkx3dzdefvlldHZ2BmHE3PhCoRDmrrGxEa+99hqamppw++23o1Kp4KWXXkI2mw2vWKxUVgq3vf7669i2bRump6eRyWQwMzMTaug0NTWho6MjlBiem5vDtm3bkM1mMTMzg1wuh5tuuinEUVpaWtDb24uzZ89i586dISW1p6cH/f39yOVy2Lx5MxobG0OFUvKh8glPYHd2dlb5nMnfLS0tQUjx7Vy8hskB5AEts8DXFfJlPeQjR+QEExSCmq3GPeEoXH8cZDmq1WtcoPpn7BOweuhKBSPJ71Hr2ZM5+JsuE5UvrjQ4B1qQjEqL3+t5BUXtVN7qinJLSsfCfqrb6JOf/OTGFfQU6MDqgmhgVt04+hnJGU0PSmhmgWpk/Zx/MyjLPHkukkbUiWgrlUp47R83mZIuoiILmmxkBFUamtteV1cXzHPmDHNDatYAzfxMJhM2NIDg8iiXyyEllIetiL71tYx8DvtULpcxPz8fNn6xWAwv2WaJByqPxx9/HIVCAR0dHejs7MTMzEyo/cIqkefOnQsljXft2oX33nsPZ86cCS9neeyxx/D888/jqaeeCpVDGxsb0dTUhLq6uvAWpvn5eTQ1NWH79u3h7Vr9/f3o6elBa2srxsbGQryhubk51JpfXFzErl27UCgUcO7cObS2tmJ6ehqbNm3C2bNnUS6XsWnTJiwvL6O/vx+XLl0KCnf//v248cYbw9uoyuVyeNbo6CiGhobQ2tqK3t5e7NixAwMDA+jo6AhVL/nC9KamJvT09KBUKoVCdy4MSIuLi5cVS+M1tBKYZKBltZkSykqflUqlStCrANeYFfmffKXxJt8vDsi0rRiyVp7S9nwvq49b97MqPbcQ9BoHgADCXMRcTG7Z+Pe6z+gK495U96oLc97rfYnNlfd5LcsUrztBz/54bipJTTqv76GkCkJ9na65PbgDxOtle/uMHxCVa3oon63KhIidzyfD8Fr2SdPp1KdH5uXmLRaLwbRnHRk9gq/mNdE9Kz8yZ56MyucqCiyXV2r1dHR0VLmXeA/p1KlTOHr0KDKZlZePHDt2DC+//HLI1OErDaempgAg1BFqbW3FQw89hKeffhq33HILtm3bhl/+8pfYvn07nnvuOfT09IRKnqdPn0ZLSwva29uxZcsWZDIZDAwM4NSpU+jq6sLWrVvR0dERYgl8HSJfhsISEVSG586dw/j4OIaGhkI6ZG9vb1BEmUwGXV1dwX3T19eH119/HQcPHsRHH32Evr4+ZDIZjI2NoVQqhaJxIyMjIbspn8+HuWtubsbY2Bjef/991NXVoaOjA+VyGddffz2mpqZw/vx5FAqFYJmoEGFZDPIWkTkVtQoXIkyNCzHzhm4E7imCCcZ73K1TqVSCYCSvexCX+1VdGJ4Jo3tMQY7eozwec8MosFMrxJF8jBTR03J19Mz2eFjPc/B1zC6YPW6o80vS9E8X8NqWzlO5XF5T103u0UcfXau2/mOanp5+VM1H92G5KUYiU5Hhac4uLCyEIKIzpbuDkoQ6F4rI1hlcTTpFFA0NDVUnb3O5XPD5qkJSYa8Mr7U3iNgVtZD5WMvE3VbKUJ6iynapBOhH5Fzyes4lhYFuloaGhlBBslQqobe3F7t27Qp1XcbGxsLJ2Q8++ADz8/P4/Oc/j1OnToX3nxaLRTz88MPo6+vDjTfeiJMnT+Kmm27CsWPH8OCDD6Knpwejo6PYv38/FhYWsGvXLuzbtw979uwJY21ubkaxWERnZycKhUKYT74/tqGhIdQqqqurCy9s5wGxhoYG7Ny5E6VSCYcOHUI2mw0vE+nq6kJbWxv27duH7u5u3HDDDbjnnnvQ398fXEN33HEH3nrrLeRyK2WqOzo6wusYmSbJQmiVykqhtO7uboyOjgJYOdBGHikUCmHtFKCw/1S+tNQomPV0rfIzffZ0Z3E9VZjSIuTBMX5OFyb5RPeGpye6q9NPw/oe833twpprGPP/u2Ak6djJG9q2x8bUravPdSGr7lpXLNoHHQ/b5fW0rPT5Cto4XhX02u7mzZv/H9aI1h2i1wVQhOzBmVimgAZJNZOBpKaUEp/jWpX94DUMcNZK0aKpy+/pg9NnqhsIWK1op5tMBbUyA+dDTUhFdtxs+gz1uZIBddOS1JfIgmhEQfye91LR6XpkMiulpmll9PT0YHFxEdPT06hUKqEcwze/+c2q9eLpZcYnGFugT7q+vh5PP/10KJGwtLSEPXv24MKFCyFf+p577gGA8MrEAwcOAEAo58xg5a9//Wt87nOfw/T0NLZt2xbKUOTzeQwPD4e+LC0tobOzE1u3bkV3d3cVjzD7hqm8GkOZnJwM31PQ53K58HIdut64qTVPnnxHfmeQeGlpKZyn4NpwzdX1prEbdcMpilTBQz6hP5n7plKpBP9/zFJ0mcG+8vnqclWr0v39ute1rZhM4tiTBL4K41i73Ec6J6pktF1VDt42x6IASIGQtq2HofR5aq3T2+CKJ5vNbrxgLLNuSMr0OnCg+kgzGUuFqQowFWTug9Rnucbmhqb/U4lC3d1HvM8DVfoMR0tEDo6c1NQDqi0XbmQ96q2n6ciEJFU8/E3LJ5/PVwVx1bRVvoihO64DN7YqvXJ5NSuG8033CV0O2Wy2Kk7AOaJwy+fzIT+d6KpcLmNwcBCzs7MByY+Pj4fyyqzGWamspEnm83lUKitlHCi82I9MJhMOlrGPaloTGeuBJLXK9FrOM9fGfa1cN5LOGRUa+8i5VX7V+eeL3KlclG/VDaHIUV2Pas2y39pXrjeAKutSBbW6PGL8HgNLOg69x+eS/VXLQXmRsQjtF4GPWt3cW5nMapq2Zhq5cFde136otexonGOjsOb/2rbyg4IwBaVqhXDvlkol7N+/f2MLeqD6BeExrUlynzFwuQ9OXTsALmN6/q3Mp8JYyTeDbvaYSRmbX11gRzn6HFdOLmw1CKSCUvOPKbC4GdimP0/7QUToRaAU5ajSUotGGZy//Vg3N5+7DRQB0adMwewxj/Hx8fCGKY6trq6uquYOx88SBVTeLEBHqyiTyYQTyXpISgWaggEeeOPcxtAegOAf13iTuxUY5HW/MPvvlpy2T57WtEpH7No3XsPrlSdiwIhWG/mBa+AWsa+3zn3styooFeY+3+QzbY9ImoLT11r3SNLeVAtZBbTyp/O99kXBnbfjbh9dR10zV4q8jnugVCrhlltu2biCPrYhlAljE6QuDo2EKxpXRvBFVYTOz3iPkm6CmKB3wR5D9orOfDPGKHYNGUU3rAtuHYO6g8iEqsjYDjexK0btM+fY++hWF+dZA+ZqorpC8LVRBQ1UB78zmVV3D4l1gugK4VioCOjb5oEuxkZ4D+Mo7EvsUBArfVLg0TXD+dfNra4eXfsYn7mAdh7RPcG2FWXqZ9pm7Nl6r/KCgx4dA/uggpmuTF8377fyn6JjX3ftu7ejfKJj0j2g9/n+5rU6Xn6XdFBKgZIreu0/kwv0XdY6RzqXSbJBn6Xxjptvjn5ZwAAAE+NJREFUvnnNBP26KGrmSFWZTj9TUu3vEW7V0qokfPHYpioR97054nfkE2NGfVYthANUH6LQe328ukEUUbGODlEwj8srmidp3rCOm5uW1+rcOjLhMx3p+rrxWUSrMUWm91OBUMhqZUdHcBTcvnloEnM8vI6/KdhzuVxw6+j3OueKyi5evBgOmzF+oApLeYb+c45NQYiOW8elc+F/6/o7IHA+8fZ03rmWnCdF1jFUzPWMoesY6FJh6n3jesQAkq4reVEtRBKv1zE5IOQYNd7laDoGitw9q3PpPEZe1fHrCXhXjtpPX2POjc6DKsi1pHUh6JWSzC9ncKDa3QBUm3mOYBVNkzw9kwwSO1btml2f56TPI6k7xck3naIxPs+Fnyqlf/3rXzhx4gT+7//+LwQeNa+abVIQKjPxOe4z1IwhZ2yvuaJC31GLZu74OnL+Gxsbq7KUfN4VSTn569zUfwugSvDyf1WmKmiUOHYKnoWFhYDgWdKYweNMJhPSViuVlVpJalXqujo/O8BxhOfXufB2oKHCTefB3Za+Xro/9PkKBhg3UjCl/dZnqcLn81QBK4+4RaT7xNdF72P7LlC1EqhbCey/8r4Lfh2Xu8UoI7Q94PIsIyD5HdZJVq1ft5a0Llw3Q0NDoRMq6GPIXomCy/2b3PDA5a8dTGJoZUy6GXQjua+Qf7vy0DHwbz7btTjJhboiPm1DFQCwwkj6wmr6tZeWlsK9joA09VItIh2j+ryV0RV9x4LQmcxqeqgHxV3JMeDKdjWf35W3+nB1I+laOPFZ5BEXLuwDFXstymarT1HSbcT+0A3EuAOAqiJduo7kF45Lec+tJBfitNCShIDzsyJMzoVaanof73F3UBLQcoTqrjZaFDoP7Jv7tFUwehxA19f3CddG29XrnDxp42r4R+dR29Y5ZgxKy5e49aBBfQemFOzqUiuVSjhw4MDGct0oOUMpctDNSoZVhiC6UxSl3/ui+v/ZbPYyE1MRtW8OfjY3Nxc2OGu3MEdd/dJ8hm/+JBPRfayOVvRvMpWmuClaVQXi5q32gZ+xf2Re7R+ZmqhX54rzrad9fb4oXEul6sM67IPna/umV8HkSNXXmopHhQTjODxDwE2oJ0Z1bRxxsW9Etsz84qZnf2PuGQ9mukvmSohbwYxTzM+s7bmQUsuGfKNz5750fY6CEnchKSrVMwAxJcIxEjjo/AHVackOALT/SjqfOpcEPZrNpog8Nm9J7l7tjwJIjX3o6XJ9hisPnWO2Fwt4/ze0rgW9M1cSuc8wxkysAeKog9frYvj9Fy9eDHnQrC6Yz+eDW0RLzTLtDVitC6LaPGZuuxJSJaVo3oWOoz5gFa3E3E+x5+kceHlYN8/1fhbbIkP7hvMxUunpXPD9pJxr9l8Vgit+tudWD9dOEZT2W+eKAt5J3VeuXHQ8ziNAdZaYzp1udF8rjs9fCaj3caw6PzGTPyacPaiu/fMxqBuO8+pKKPZM9/MzR9xTen1s3h/uFfKS14BRvlV3jZJbJaosXQG60o0JXZ1Pfb6m+zpPsB3Nj4+BBV9jteZirsT/ltaFoFc3gBInydG0kzMzJ5CpczFEriYiMy+YNke/MtFaLrf6GjmeZGT/2Jb22f2oGgNQN4luIj06znZ8TDE/tysO7U9MOermjbkO3GWk86bIm+1nMpnLUJj2101rTadk+3qNjp/P9OBarbHp/bH5jFlx7jP1cTg5qvPPkhSeKhv9jJaofqa+YM/Rd3Ss1lis38pLbgnpXPFzWlWKmPmjNV10jOpCpZUXU0ou+Ghh6YtiOCex/VWprJZqBlZdZLpf6apzFM7v+EISJcoD5xkqLh2PAwy3liqVShX4i1k/rsgpG6jkVEGuBa0LQe+TRmHIgTMXWc14ndwkDajBS97jxGAaUSqfzWcmBQeTxhFD6/xbkZK3FTMJlRSdxISL9q8WxSwHRUI6RzE/piJykr43QJGYP0dRUayfPmZF17TKKASuREnK3/tWC0BoH/7T72PXuWJmn3RdVTCqkvP10Pu1fVcCjuJVyHCudH1iblIKWeVvfh9TQCr8tS8UquqPnpycDCUtNKPK90XMwnGXq4+dRN5sbW2tGhvnQhU+eTmTyVS59JKsErVWk5S/ut3U4uQYVPZciS//XVoXgt5JA1YqPEulUlWhJZIKhBi5OawLwJOXvE7rvcdcBzEETfIN4KiKn7mLRPuobSlKc4VwNQLmSsiT/8dcALG58mv1GjK4ukVibcQ2MFCNrJM2uFoesbV2tORj0ev8PkX7tZRREtVSHkkKWdGuImc39dmmC7EYz/g669iSQIgDDxWmPo8qEHktFbHnkbtVms1mg/XHe7iXWZ3VY2pJAo990hIdKtg9pqXAUZWbuos8DVjnS/sS2wfqxuFnvi68hr/p4tL4FIsN1nJV/ye0LgS9D0q1qTK3HkrgdY42lQldSLlw8NQp74/7iZ3BSd6GM4hvSBcqHIuSMqlTrE1HzTFFpNc52vWxa8EsVbjO0O4i4Ybid0QqihJ93VSRq+DwOXL3lvc/STDTGqBpr32OuYWS5q4WJQmkK1lfmUxy7SFFvCpEeW9MsCSh/ZgCUYQcsyjc76z3Ka+pkIxZDppjzrmqpYT1Xrf2yR982Y6mSmq/yIOqONxC11O/LL3B+eLz1JJSQa/7IKZEfS5UyPOsi1rCwCp/r7XbBlgngj5m4lDAxIQ1J1F9WbXM0lrkgtE3kOYBk8l8U6g7SfuaZG4nbdbYfFwNecCqVhsx4RBTWl5uVhGeI0ttrxYS1w3g16kPXVGZjiWGeJPG6QLKBUDSPbG/14KS+Is8FSvvC1weFE7qrz9H29bPY7+VV7VdXSsXbJVK5bJzHUn8zO+1XAktjXK5XPWmrHJ59QxHbDz8YbYW26SipOxg2/pM5wHuXT6Tz1K+0aw15UcdE/eGx7L0edqGJwPwuXpocEMi+qTAkKIG/V79czwYxHZUKDAzhP8nITVl0ishI+DylzB7MPFqBK5+n2TqXwlZqiURi+67ME1qW4UJ+66Cx5GMMz3b00CVzpU/LzYubdeFUAxJOXL0OVU0poj9ajZQEtq8GnKE7P2PCa6kcfDvpEDylfhD5yumoLVfMVKBqIKM8+mVF31c/hljYOTZWHqqzpO3weeolUjgRxnAwKnuB0XobFPlSEzp6f++jr73/VqS862OIwbMtCbVldb236V1Iehj5IJSmYkMqwKFTMcJ1IAPcLn/1gUzn5UkZGPX+vcuaJKCrn6vb5Ra6M2FHT9z0z9J6Hs7+iwPqtWKD8SEl4+fY9P5iM2TKhRX8j4frlSvZr74O0mgJa110rUxIaTt13LxqR/YhY1f7+PW67x9F2I+BkXkfCZBkgpOfYaeInbrNBZYVEWv7Ti/+l4EVl0wHrzVMWpxPI7B413+/NiaeVaa80pMGSclR+j68BpPYqgVWPXxrHUQlrTuBH0SytDAJFCdruVBWw3WJSEYLoxqViIEkmpspSTErovvgjjGwLHrriSMVBh6m3o4JamtmPBQwZo0Lv3er6Hpm7R2LrxcSOtaqhkb64vfkzS2qyVfr9g4SeoOUH+vWyF+v4INb08FYdJ6uOCJjdOVYgwNa1aIKh3fV45ivS8xtM7xzMzMhHfuxsaahIxje83XhOMjguc4HB3HYkK6/z13PjaWq0XUMaXg1oYHpUkOgP6XtG4EPSfEhaAjTs1/VyaJ3aMMSkbn5+qrjaEDZTplcGdI19yxTVlrYyqjZrPZqiwBPtsRdOzZfhhMx8W/OW6fN3+Wb7BYwFrnlil3rnj0WvYxZrYqsd2Y39eRms5BEhKOEcdXC/klBcSIdHVOVeBcSclSEPB56k9eWloKCQcxVK5jiwEK/dzXClgV9rHicQz61hq3Ci3ypKZQ1tXVoa2traofJD9r4gFZ72tsTZPAkvrz9cf98wQjmr6t9zsCj1mP2l+2z3ngd6wP5WnflFt6XkDH6j9rSetG0KuQYWRa63oQtZNJ/eiyTloM+fvGVkEVy25RRKP/67P8ubUOF3nber8eIlKzz91OsTnj7yshXGWgmGvBx6dMru6GGKK/EmOqwolZJv6dzoPOEa06RZpJiq8WVSor1o++jhFY9UknnSoGqmsH+ec6b6r0NYEgNg8UuKxE6gInppRqja3WXKhPXflTUx5JdAc6YOFnfo8re15L/7vWkfK+xSwXBRxJytznw/vpc+P7lQXqstnVCqdUuPocbZvrS4Wl8QVVICrAuZZ6ClpPYutY/hfoft0Jem5kZSA1OWOnZHXSYz5C/82F8DRAp9hmcdTOvsf+dr9n0rjZrqIW73cS6ok9N+k52obOkZvnSchd+xFDlDElEOubInYVYkoM9tEtpG+h0t/aPtFlrbng8xoaGi4TnhT8qki8T7HxePuu2HS8fj/TWIHL67/UChz792xbnxPbJzoO/VuFqn6nQq3Wdx7YVL8+x6ToWkmtTJ/HWnPte5FtePkL7ZdSJpMJLiZXLOVyOVq3yC0TjQNqv9Vy1XXw69kPL5OyYRE9UO2z5KI5QnfGqjWpHvwisV1FbknmWZKA1XIGGtTij+aEZzIr9XKIGjR/lpvhajMXtB9JCEf/1tiFj18Re9KYY/PmG8zPNvh81np2EhEtcj31FWs6Ll2TJLeDuwk8aObKIUmZcE10s2rOv7okHIVrW/p8ji0WW1HhyfZi1lhS3/x7tskxO/pPQs2xw2muWFzp6ni0fb7sXJWq9j8GrPg857PY9W6RaF9i8oF7WftN1wsRvvK9VsPVw1oOLvXsQK15ZnsqQ7yfa0HrStBfafMruWB04e++bp84FxS6uWu5XNQ1UywWcfHiRRSLRTQ3N6O1tRXLy8uYmppCPp9HuVwOtdbz+XzUcqB/lm1SYMQQmzNTjMl1HP5dDAHyua4gkoS9Ip9abcUEhlKtdXZUW6lUghvPg+dX4hdFhpxbjc84YtW++1wS5bniyOfzVS8fUQEb8yurSy5pLim09VBfLVJBlaTAvf2roRgvJV2j1+q4dK1YSlv74K4yX3sKWf2u1jiSlIWTW5XKIx6H4elZV96aGso14/dc31KpFOpoUTapO49KTPnhatfnamldCHofVJLJqovuKJ8IUP2KWmVOXwEHILxZSLNFKIjZHp+pwkIFgqJz/rBGzocffojm5mbk8/nwflIdH7W3ogItbkXBoQEkDS55SVn21d0LV8M4MaHswk4pdlT8v6GktmKo2k83Xg04cCE4Pj6OzZs3Y3FxEVNTU+jp6akSUjGTnOvPOiS+6V0wKA+yTe8T88r9xSzZbDYchc/n85ettSonJQUosTV3K9YBg7ucYvOqwjv2nYOlGKrV/nGOdK05/4rg3fXFv7WsgWbTaBwiFiNiO5cuXaqqRqtg0Z+nCpoZbgxgc8+qxanyiG8wI++oEvCidtzva0nr4sUj77//fiUmTGIUUwLqm1ehHfNRUlBcunQp+Ec1KKfuFwBVR6NV0HDR1JVBlD80NITZ2dng3jl79ixuu+22sKmbm5vR1NQUTMPl5eXwP5ljdnYW9fX1aGxsxN/+9jc888wz4bu9e/fiK1/5StVG8N8cj/7tftZa5BZEbM6TTgRfjfC9Wvp3kKcThYUjQEfJPmcceywew/u0lnlMWGpmi45DnxlT1LExu0uoFiUpaP+/1thjz7gSUNAfd73GFHmSQOVv5b8rjdOtByJoVcDal1h8QZWDClnd3/48ygVVEGxX+0ilzQOc2gcNyCowAIBPf/rTaxaVXReIXjfdlRY3FlDSVEv/XEkX2E0ofuao59KlS1haWsLCwgJaWlqqXlihNDc3h2KxiMbGRmzZsgW9vb1YXl5GLpfD5s2bceLECSwuLuLChQsol8s4cOAAuru7g4CndcANWVdXh2PHjuHaa69FV1cXDh8+jDfffBMzMzNYWFjA9PQ0Ojs7q+bGN5VvTt/stUxavd+FgbqbYvf+N0JeUY22FRNcjrj0+1wuV/Uyb5rYREtEXLGx6YZT1KsozTMm3PfNI/o6TzFBy3HE1o7XaOpejM/ZngKOKyFZdVPFlMB/CgBdwGv7Ksg9IOxzEJsTJV9/jp/gSi1vAreYUuBzvO6VygNe6+MkEneFpiCBgNLddcViEYuLi1XjoQWfpGz/G1oXiP69996rANVMEmNmJZ04L/gUI3dJ+N/0v/JF0P4iidnZWTQ1NaG+vh4NDQ3hdXL8npXoyGyLi4uBgfgykvHxcUxOTqK9vR2FQiG8g9SPkVPQnDt3DiMjIzh9+jQGBgZQKBTQ29uLTCZzWR9rkQsI9zHHXCQ+X4pCdM70mlgALqk/uiYxojvDg33ahqNv5xm67Ph5zASPxT08DhCzWPR+HW9MIXmfvT8eICTpfFPYu6tQ+x5TvjFhHovVxNaCfOjXJ60Fx+OH3WK8pf7oWHtJc6joOnYanJ/r2sbic96uP0MD5g4YvQ/6m+2rxaJZRfQQLC8vY35+HplMpspj0NzcHCroHjp0aM0Q/boQ9CmllFJKKf3vaG1LpKWUUkoppbTuKBX0KaWUUkobnFJBn1JKKaW0wSkV9CmllFJKG5xSQZ9SSimltMEpFfQppZRSShucUkGfUkoppbTBKRX0KaWUUkobnFJBn1JKKaW0wSkV9CmllFJKG5xSQZ9SSimltMEpFfQppZRSShucUkGfUkoppbTBKRX0KaWUUkobnFJBn1JKKaW0wSkV9CmllFJKG5xSQZ9SSimltMEpFfQppZRSShucUkGfUkoppbTBKRX0KaWUUkobnFJBn1JKKaW0wSkV9CmllFJKG5xSQZ9SSimltMHp/wMYOCzYBk/aYwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gray_lumin = np.copy(orig_img)\n", "luminosity_constant = [0.21,0.72,0.07]\n", "gray_lumin = np.dot(orig_img[...,:3], luminosity_constant).astype(np.uint8)\n", "#can also use tensordot method to do the same.\n", "# tensor_prod = np.tensordot(gray_lumin,luminosity_constant, axes=((-1,-1)))[...,None]\n", "# gray_lumin[:] = tensor_prod.astype(gray_lumin.dtype)\n", "plt.title(\"luminosity method method grayscale\")\n", "plt.axis('off') \n", "plt.imshow(gray_lumin, cmap=\"gray\")\n", "# io.imsave('test3.png', gray_lumin)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }