Costruzione quadrilatero ciclico - 1

[i]Costruire un quadrilatero ciclico convesso, conoscendo le lunghezze dei suoi lati in un ordine dato.[/i][br][br]La costruzione con relativa dimostrazione segue quanto proposto nel sito "cut-the-knot" all'indirizzo:[br]http://www.cut-the-knot.org/pythagoras/Constructions/CyclicQuadrilateral.shtml.[br][br]Naturalmente si suppone l’esistenza del quadrilatero convesso e questo si verifica quando la somma delle lunghezze di tre lati è sempre maggiore del quarto lato.[br]Usiamo il metodo di analisi e sintesi. [br]Supponiamo che il quadrilatero ciclico esista.[br]Disegniamo CM, con M sul prolungamento del segmento AD, in modo che ∠DCM = ∠BAC. I triangoli ABC e CDM risultano simili perché ∠ABC = 180° − ∠ADC = ∠CDM. La similitudine dei triangoli implica la proporzione DM/b = c/a e quindi DM = bc/a. Inoltre per la stessa similitudine AC/CM = a/c. Ciò ci dice che C si trova sul luogo dei punti le cui distanze dai punti A e M sono nel rapporto a/c. Tale luogo è una circonferenza di Apollonio.[br][img]data:image/png;base64,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[/img][br]Queste informazioni sono sufficienti per realizzare la costruzione. [br]Supponiamo che d sia maggiore o uguale alle altre tre lunghezze date.[list=1][*]Costruiamo i punti A e D a distanza d. Sulla retta AD dalla parte di D costruiamo M tale che d(D,M) = bc/a.[/*][*]Costruiamo il punto C intersezione tra la circonferenza di centro D e raggio c e la circonferenza di Apollonio luogo dei punti P tali che d(A,P)/d(P,M) = a/c. [/*][*]Costruiamo il punto B intersezione tra la circonferenza di centro A e raggio a e la circonferenza di centro C e raggio b.[/*][/list][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAz8AAAJNCAYAAAAfyMs9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAP+lSURBVHhe7P0HnFxndf+PH21VXa22qa20qlazLLniCsQFxzGBOBgwJSYQJwQwmGZTDQ6O+ZqvjcE/DARC4B9KDHxNKInjUEyxccFFtmxZvdeVtmi1K+2utuk/72fmrK7Gs7tT7p25M3Pefo3n7s5q5s69Tzmfc85znnEnIojhK/v27ZPDhw9LeXm5LFmyRKS3V+Sxx0S++12JvBD7qwgNDSJveYvIq18tUloa++XIDA0Nyd69e6Wzs9P9PGHCBJk3b17kn479bxPB+x04cMCdq1JTUyMzZsyQkpKS2G8Mo7g4duyY7Nq1y/WPcePGyaxZs2Tq1KlF1VfWrVvnnhsiYxQPwzAMI/vs2LHDzUmTJk2S+fPnx35rZIpZuNlg/HiRyy4T+dd/FbnhBom04ujvDx0SufdekQ9+MCqOxgBR5ZfwAYy22bNnu4cacO3t7c7wGxgYcD8bRrHBJNPU1OT6BL4h+l1XV5f1FcMwDMMoAEz8ZJOKCpHXvU7k3/9d5MYbRerqor+PGFDyhS+IfPzjIi++GP1dHBhgR44ccccVkffJVPh4mTZtmixcuDCi0SIiLQJehq1bt7pnwyhGEEBz5syJ/RTtf0ePHrW+YhiGYRh5TultEWLHhk/gJe7t7XXipE4FjhdES8SAkquuih7v2CHS3y/S0iLy299Gf547V6S62v15c3Oz8zIDqXQLFiyQsrIy97Nf8H7Vkc/Di825k/KjYmvixIku/ccwionKykrX3xA9RIDoD5MnT3ZR10LvK4eISkdABPIwDMMwsk9HR0fEPOx3Tm+cb4Y/mPgJgDHFj4LwWbkyKoIiBpTs2RMVQXv3ivzqVxKxqKS1pkYOxQwrFT48BwFGW1VVlXt/PNkYfDz39PQ4o68Q1zYYxmggdLwCiLTTKVOmuN8Vcl8x8WMYhpF7TPwEg1mzYQDj4p3vFPnWt0SuuSa6RmhwUI49/bQc+sMfyLmR0ogwYR1CUMLHS3xqD4afpfYYxQr9Yfr06e54MNIvKTrCM1hfMQzDMIz8wiI/AZB05Cce1gSdeabI5Ze7f79r7lwZioiecZ2dMu/BB2XCiRMiixZRqSD2D4LD0uAM4yS0efpAd3e36xM80z/oB4XYVyzyYxiGkXss8hMMFvkJIf2TJ8uuyy6TwdWrcS3L7DVrZOLOndHI0HvfG60MF/M8BwmpO94KV6T2YBRt375djh8/HvsrwygOKGtNyhsgfiiCQJ8A6yuGYRiGkR+Y+AkZGE27d+92Sl8mTJBZr3qVVP/jP0YjPnDgwJiV4fwmPrWHdQ3btm1zHgnDKCaoAEc0B2j/ra2t7lixvmIYhmEY4cbET8jYv3+/M5igvr7ebaToiiLcc4/ITTeJVFW512TTJpFPfSoaDcrC+gIqX1FsQcOupPaw9gHvN8eGUQwQ1WHtnYobojus8/FifcUwDMMwwouJnxCBIaU7yJNn/7Kd1dko9Wtfi+4VRKU4+MUvohun/vSnIr290d8FRHxqD3C+ltpjFBOs5WtsbHTPGqmNb//WVwzDMAwjnJj4CQl4j1vY5ycCC9vwLidcKE3kB7Hzla+IXHRR9HdEfr7zHZGbb45GhAImPrWHRd6W2mMUE7R9UuDoo0RzEEBaAc6L9RXDMAzDCBcmfkIAnuA9e/Y4LzLe5Hnz5g17i0eksVHkYx8TueMOEa0ot2tXVAB9/vO4maO/CwhL7TGKHfbzmTlzpjv29uF4rK8YhmEYRngw8ZNjMH4wmtRrPGvWLBf5SRrWA5EK95a3RPcHgiefFHn/+6OpcAFWhRsptWdXRIRR9tcwCh3W5E2dOtUde6O38VhfMQzDMIxwYOInxxw4cMClwgBrfNSQSglED+LnG98QOf/86O86O6OpcIigrVujvwuI+NQeNni0jR6NYgFBM2HCBHecqACCF+srhmEYhpFbTPzkkPb2duf9BVJoqO6WEaTVfPKTIuxb29QU/d3evSIf/rDIvfcGWhAhPrUHb/aOHTucMZgoFcgwCgUiOXPnzh2O6AyXqh8B6yuGYRiGkTtM/OQIylkfPHjQHZeXl7vqUb7tBH/WWSJf/rLIm998sircww+LvPvd0ZS4gEiU2oNBt3PnTkvtMQoa+jCboAKprKznGQ3rK4ZhGIaRG0z85AA1jnSdD8KnrKzMHfsGoudtb4uuB2JdEBBlohgCm6QGWBDBUnuMYoT1PxrNIfUNMTMW1lcMwzAMI7uY+MkBzc3Nw+t86urq3J4+gUE1KirCUQVOq8I99pjIe98baEEES+0xihEKlqiQofiBblg8GtZXDMMwDCN7mPjJMkeOHHFrfQDRM336dHccOJdcEt0biI1SAc8yBRE+9SmqLkR/5zOjpfaMtibCMPIVUldp7zwjXLyVHEfD+ophGIZhZAcTP1kEI4jqbqC7xPu2zicZiDDddFO0IEJsfxJZvz76uwCjQCOl9nR1dbmfDaOQoPKb7v/T19c33OeTwfqKYRiGYQSLiZ8ssn///uHFzKTHsEg6J1AQgbVAr3tddG0QKXhEgT7+8cCiQPGpPQhB9jjBMLSNHo1Cg/U/ms7a0dGRknixvmIYhmEYwWHiJ0uQ7sYDvBsj5gxEzw03iHzxiyfLYm/aFI0C/epX0Z99RlN75syZ4yJf0NbW5tY3WIUro9AgsqspbN4CJ8lgfcUwDMMwgsHETxbAW0uRA/CWxA0FCxZEy2Jff/3JKNB990WjQGyUGgAIv0WLFg2n9rAonNSe7u5u97NhFALevo5gSab6WzzWVwzDMAwjfbDBSSGnCBGOyE2bNpn4yQYIH1207PUGhwZEz7XXRqNAkfNzsBbo/e+PVoYLAAxDUntqa2vdz94KV4ZRKHjT34jcpCNarK8YhmEYRnIwRyJ2mCOZKzdu3Oie2Vvz8OHDzh4vvS1C7O8NnyC/n1LWpKuw+FmjPnhxKW0dWlhjcMUV0UpwW7ZEo0CIH4ws9gqqqIj9oT9Q7GHKlCkyceJEd81UnfPg96ETiYaRBrRv1v1Q/Y22zVqeVAudZLuvqLBCuAVait8wDMMYEeYOjPWKiP2l60CNU+H6dHZ2ukrKrI1l/uK6MT/ymnfLCOZK5tFxkV/aRhI+Q1gNdYnHFgGkQmjx4sX+b2YaFGvWiNxzz8nUNzrdhz8ssmpV9GefoYHu3r17eF8UrhdRMgw7w8h3GIxVUDQ0NLhHumSjr6xbt849Z3quhmEYRvoQscCIxwk1f/782G+LFxx/zH1ck+PHj7tsCubEkcAOnzx5shM8PPgZAWTiJwBU/BB6U7HD4uW8U+0IH9b/PPlk7BcRqBD3zndGU+V8hqZIRTyunYLhVV9fn92S4IbhM7Tt7du3u0GbgZc0Nl3Hkw5B9xUTP4ZhGLmn2MWPV+zw4JjfJYK5lWwrRA6RMkQPYicRJn4CAPFDfj83iQbLzcDYyVsD/uGHRb7xjWgaHCxfLvLRj4oElMJH+NJbHYuGPHfu3PyJmhlGAhgPEEAMuX5NZEH1FRM/hmEYuafYxA9RnKNHj7qIjkZ1xhI7XBu1tfldMpj4CQCMEfIOifygPBE+GCV5Dfv/3HWXyNat0Z8jDc1FgF7zmujPPhOf2oMxR9lfGrhh5Ct79uwZLnnPROZHew6ir5j4MQzDyD2FLn68Yodnfh4JbwrbaFGdZDDxEwA0VoocEOnBC8uGpgUB3uWvf/3UfYDYMPXmm6NiyGdomolSe8wYM/IVHCJbtmxxkRo2M124cGHSnqrR8LuvmPgxDMPIPYUkfoJKYUsHEz8BsHbtWqdiuXlnn3124aVrPf10NA0utoA7Yh1FiyGQDhcAeAPwmGtqD4MAnm1LgzPyEarQ7N271x37LS786ismfgzDMHJPPosfnH0UJUhF7PA9eaSSwpYOJn58hpQWPLuE7rh5q1evjr1SYLD+h2pwWgyBAgikwVEQIQC4nrt27XKV8wBjjqha3qcTGkUJG5VqFcjTTjvNPfuFH33FxI9hGEbuySfxk6sUtnQw8eMjXEqED4uQUbzV1dWydOnS2KsFyi9+IfLd74r09UV/Pv/8aBQog0pWI4HHgHRCarkDaYVUtzLjzMg3mMyY1IC9v2bMmOGO/SLTvmLixzAMI/eEVfwwx+Bg03LTo4mdoFPY0sHEj49Q4Y1CB+rR5UYvWbIk9moBs2uXyO23n0yDa2wUYe/cgIwmomsUldDwKfubsM+Jn95zwwgaKr9peix7gAUxGaTbV0z8GIZh5J6wiB/mkGTX65BtwJrWbKWwpYOJH5+gEWzevNlFfMi3x7jAmCkK8QORzuDS4FgPBJEGLzfdFI0EBQAdjwXePAPXm8ISU6dOdT8bRtih7Wrp65qamsAKo6TTV0z8GIZh5J5ciR9NYWPeILrD80hiJ9cpbOlg4scnDh48KC0tLe6YBoBHt6jEj/LAAyI/+EG0Mhxce63I294W2KaoRNo0tQdqa2tl+vTpofMyGEYiKHxAAQSg8hsesiBIta+Y+DEMw8g92RA/iBrEDnZrsilsnA/RHezdfBA78Zj48QFv+VoaBDmNlJwtSvEDa9eK3HlnNBoEq1aJfPzjgZTDBq41hp16JeiYLPDOxw5pFBdMMIwdtN2qqirXboMk2b5i4scwDCP3BCF+GP+J5CSTwkamAAKHB+cwfvz4gnAum/jxAVJK1KOK95bjohY/QClf1gFFDC3HzJnR/YAWLYr+7DMYkd4KV3RY1jawxsEwwgyFCVpbW91xNjZETqavmPgxDMPIPX6IH8b8VFLYVOjwjNgpREz8ZAjRHtb6aNSHxskC46IXP4Bx5S2HXVEhcuONIq9+dfRnn6EzeytcgVa4otqVYYQRIsebNm1yqWmsw2FfnqAZra/8/Oc/l69//esulffiiy+Wj370ozJv3rzYXxmGYRjZ4JlnnpEvfelLzhmFY/3DH/6wG5NHg7E92SpsgLhB5JAFwHodihUUg71k4idDDh065B7Q1NTkvKcmfuKgHPZ3vnNyHdCb3xxdBxQQXHsMO93o0dLgjLCja3+YdBYtWuRyqbOBt68wUX7oQx+S3bt3u0mQc2ASJU3uq1/9qrz97W+P/SvDMAwjSD7xiU+4cXf27NnDYzHOqje96U3y5S9/eXjjasROOils2EW8b7HaRSZ+MgCDAY8tDY2oD95RjBcTPwlYvz4aBdJy2GedFU2Di1y3IEiU2oMA4j4ZRtigvWZz7Y8X7Ssf+MAHnIeRTVe9nj8m1BdeeEGefPJJOf3002O/NQzDMILg29/+tou4r1q1aljkAPMDY/HHPvYxectb3uKiO9g4I4kdbFBNYePBz1YMKoqJnwyguhupIUC6mxrWJn5GAOHDOiD2BQL2A7r11uh6oABgQOBesNeJQloP6T2WBmeEDR03gHHDD48cDhr6AcM86XX67J0s+R2pEWzI/IpXvOKUyVbZs2ePXH755fKZz3zmZedFgRegT+lrOBtskjUMw4iiYzHgcGLc5WfGYy+89prXvMaNn1TkjIc5Apvmhz/84cvGWMZijexgjxLZ4W8Yj41TMfGTJjRaPLU0VBoaC5UVEz+j0Ncncu+9Io8+Gv25qkrkk58UWb48+nMAxG/0yKDAAm8/jEvD8Iu+SN9g/SCMtO+PTqD8LZMmP+P5YxhnLNLJlN/zSJY1a9YMexoTQUEG3vsHlLFPEsQQQorJl2cmYB70Ox78nslaX4ufyA3DMMIK4yFjLOMt4zE/MwbzUAeTdyxOxtTmb/jbs88+W175ylcmdETx+u9+9zt54oknhoWNPkZz6nrHYp4Zg/k3jME6Fuu4zO8LHRM/aYK4waAGDOnq6mp3DCZ+kuD++6MPoKNRCOGyy6I/BwAGIqk9DExA57ZqcEaYYKKkjXZ1dbmf6+rq3LNOqDqJBgHrfK677joX+UkE6344n/vuuy/2G/+JF0Q8ONa8dPosrxuGYQSJjrWMyaSW8dCfETr6eqbmMwLJK5I4hr/4i7+Q5cuXO8d6PJzLc889J48//nhgGSxegaRjL+Mw47GKJf4mnzHxkybbtm1zC8toAOTIeydlEz9JQvSHKBDRIGBD1Ouvjx4HAAOLVYMzcgkTHJMnE5g+6zHtk9cpPAA62YwFYw+Tk05YPOvPPGjbGoXhOX7i4nf8PQVb6AvTpk2LvXISIlLve9/7XHSIc/SCMGMa0UkceOZ3vKa/56HH6U47nLdel/hn68OGYSQLY5GOwYxTOhbziB/jkkXHWcbT+DGZZ97X+1mMhfHjFj/feuutbv1lotLWOMhIUf7FL37h3suLjsXeY51X9GeedRzm9xynA98n0VjMg9fCjomfNMA42b59uztmh3QMaC8mflIgfkPUiy4Suekm6i9Gfw4A7o1timoECW2Lyc07uTJucDwW/B2TEhMIOd86mdA+OY6fXP0y+n/2s5/JO97xDlm8ePGwAOI8GOv4bHLMiXD70VfiJ2SuEw8mZH6nhkGy0xPXR6sXUbpVJ2Lr04ZR3DCGMJYwppABomPyaFXR4mGM9Y6/HOtDx2GevUY/4xufwXiuz/wuEfreulaHteSkvmFbMt7qGM+ekqy/JE2ZqqB+oNeHc+Oh10pFEsdcs2SvFTAWMw7zvXjWsThMosjETxrQ+FhHwo1E3NDovZj4SREKIbDuRyvB0alvuy26HiggGAS5TwxKwD20NDgjHZgUaE9MbkwSHNOukhlaGSPUUGeSYJJjsqF8PuMLEx/V37IFAogID6l3TMSdnZ2u0AHVhdiDCLLVV7iuKopUKKnhwiOZyZhz1YW/PDjmmhuGUZgwNjAWMw5zzFg8kujwwljBWKxGOw8VOowdYzmZGJtU5FAhk59HGqN4T7YTYIzlOdGYROTnne98p3vG6URRGvaA+4//+A9ZvXp17K+yhzqleOZ6esdiBNNYcP1UFHE9+e465+UCEz8pwk3WDQlHWpRs4icNItdLPv95iVzc6M9UgIsYXOIpJOE3DEzcK281ODztRPPC5KEwwkO80NEN5EYbRnVSZcDnWY95JGpnvNfGjRvdBIOxnu6u3pnwP//zP8ObnBIJCmNfUQ9l/IPfj3Y/OF8mXp2IucYYOYZh5BeMvYzBjMUIDsbm0ZwiGNresVjHYY5THQPUycXn89kjCQDGG8YaxhnGHT4vkdgZiaeeekpeeukll+p2wQUXxH4bLpirGHu5D15RxPFY94ProUJIx+RsCCITPyni3dSUsCM3Kh4TP2kS6Shy990iTz4Z/TkyWLhS2AFWgoP4anB0QEuDM4BBnQmOyQ3Bw/FogzkTKAO5Tqzp7pjtHWcQH7xXNsHbCKwB4qHkQ1/h3LwCVY2U0aY67hf3TR+JxnXDMHIH/Vf7tUZXRos4qOhg7MzUsGZM0XkAsTOayGIsZAzhcxE8fG4mDqIdO3a4z82VIyxTvMIUQcS9G20O5VrpdfPj+o2EiZ8U4Iax8JcOR+P2lrf2YuInQyin+6MfRY9LS6MpceeeG/05IBjYuG90ULA0uOIEsaOTKylfeBZHGqgZkJlMGQswnjV9wQ+vFZ/LWMPwTJW1GTNmxF7JDiOJH8jHvqLGC/eV8x7LcOI7cV9JOVTDyTCM7MHYR5/lgdNlNMEBjL2Mwd5IQrpGs0aUdC4YbR7Qz+UzR0phy4R8Fz/xcF9VBHFPub88jyRFmE8Zf7m2foohEz8pgDFESViYPXt2wqpIYOLHBx58UORb38Iajf78zneKXHNN9DggGNxYUNjR0eF+ptNhdCbaaMwoDLjnDLz0bZ1oR5vkGHyZ5Hjm5yA8UoqWvcYQZxwJ8rPiGU38QCH0FYSueiST9eYyAQdh4BiGERUdjMX0Sx700UQwJiJuGIfpj5kIHfo84z4GOc+MBZxHIvgMjUjwQGgFnTJbaOInEV6hy3flebR7wFjMA4cb9z4dh6OJnxTQRkjHo7w1z4kw8eMTa9ZEK8FFjBIH4odS2CNcd7/Ay4RhpwMvHQzP9kj328gvdIJFWOB9SmTwMpiqx59Jh4E22wYv7ZDiKkD78+4lFjRjiR+lkPoK7QABxBivHt+RjC/aAt+VIhC0jXQmX8ModuhziA0dj0fqbwgMFRyMyYiOTMUO/VwN7URzAKjTw68UtnQoBvGTCI0O6YOfE8H9YCzWR7Jzj4mfJMFgotABjFToQDHx4yNbt0Yrv0UGR8erXx0thR2wcYURxH1kYAQGX9Y2MBAa+QVDHJOHTrCJFsR7PXrcY45zbcAzITPmYBCQfkX7yxbJih8o5L7Cd+L70XZGEkO0E2033CdSIA3DSIz2J8ZiDNpEwsPreOKRieMJ2y0sKWzpUKziJx7mbe4f91Kjc/HzOE4o2o2OxaPNQSZ+kqS1tdVtkAms9Rntopr48Zm9e6MCKLYAXM46K7oOKGAjg67BfkC6KSodSzdFNcINkxsDJJEJnhMZrRipTChMcniMsu3RSwaiKrQ/2h7VfrIlyFIRP1AsfQUxRHvCGGEiTmREMfnSnnS9kGEUO/QVHYsTefAZ11R00HfSdSDQH+mjfB4L7dVIToTX4cUjGyls6WDiJzGIIUS0jsmJ7jM2OO0pUYTexE+SbN261Xks6CwLFy6M/TYxJn4CAOGDAEIIARXgEEARAyNouJcIXzWg6UyWBhc+mPjwJuokO5phyoPjsMOkx+QHiTZUDopUxY9STH1F2xttTSNE8WDEMfFyHUZzmBlGIYFZqdF2HomKi3gNU8bidJxPKnb4LB4cJxr3gc+jD+YyhS0dTPwkB9eI8RjhSzuIlzbcax2LEdomfpKAi8ku55CMMWDiJyAijduVviYVDrgP7A2UgnGWLngVdu7cOey1wkPEhmMMSEbuwMhG7PBINPFhdDPYqfFJn8w3SH2j/WVz8ktX/ECx9hW+L+2QCZi2GA9tj2iQpmN4vZCGke8w9uII0JS2+Gg77Z0xQNs/IiTVPsDYwmdgk43k7Vfob2FLYUsHEz+pg9imDdIWuXbxdgFCyMRPEuDJJO0NEDNjdSITPwGCd/Wuu0Sefjr6c12dyB13RDdFDRg6EG1BU3sgHePQyAzvJMsjfmDD2GaCZcLjkQ/evdHwpr6x50821pRkIn6g2PsKRpkKIQy1+GkWUY4Xkoc5UIx8hvZNO6fyY7wYYexVwcMjlQgwYwhOBN4/1RS2fInqJIOJn8xAhGMn0H5op2ovmPhJAvW84kEYaW8fLyZ+ssC994o8/HD0GIPq9tuzIoAgPrWHQQnPdhjzhQsJJkGuPUZlvOChr2WaQhFWMAC2bdvmjmdG2ng2yklnKn4U6ysnc9Npt4mEEG2XbRMwDm2NkJEPYA/Rt3FuxKe0MfbidNIUo2THYhU7GPo8EkXyFfoMn4EjCLus0MZ8LyZ+/IP2pBEhEz9j4DU8qPBGpbexMPGTJb7+dZGHHooeEwH67GdFmpqiPwcMnij2YbE0uGBhkmWCTeRV5Jqr95zJr5DTiLKd+uaX+AHrKydRLySPROkYGHIqhGxNoREmaLsIeMZi7CKv6YjwoM1qinEyQoTxrNhS2NLBxE8wmPgZA2/KCXv7JNPpTPxkkfvvjz4AY4oI0KJF0Z8Dhq7jrXAFfhiLxY56Z9ra2hJOshrhKYSUtmShnXE9IJnU20zxU/yA9ZWXgzGJIclcEV8sQY1J9nbC6ClkYW+EG8QJY483ZUhBjKgDarRoLv+OsbzYU9jSwcRPMJj4GYN0PK4mfrLMj34k8oMfRI8j98mtAUoiPdEv8IZxz3ViwDi3anCpM1paG/2vrq7OPRfjROiNQM+ePdtFB4LEb/GjWF9JDFExjXBqiqDCwnAyDhBCNqYY2YBUNtoioidepJBqxvhDexzJCcO/p01jtPNg/Iof0xXeo1hS2NLBxE8wmPgZBTwUmzdvdsep5Nqb+MkBDzwQFUAYDqTA3XknllvsxeBhoN+7d68b5AEvmG2KOjYYeip49NopTIYIHjzgo3kViwV1xOBlJW0sSIISP2B9ZWSYjnECUGAHg8drMGIQcu8RQhiIhuEntD1dm0Zkxtv2EN20O8biRG2PcclS2ILBxE8wmPgZBbwepGoAVZbwwCWDiZ8c8eCDIt/4RvQYgy1LZbAVuhJpktx7IFUFwYzxaJ6sU8HwxdMdH+XhOjHBqoFn6T4n0XEFQ4RxJcg2FaT4AesrY4NjQPtIfFochqMao3a9jExAqNAPaWvxxQsSRdwZrxm/MchxZCB4RhI7/BvGcf49D4vqpI6Jn2Aw8TMKurEpHmjW+ySLiZ8c4l0DhNGWZQEE8ak9DPh4tovdw8VQg1dQvdpe6GMYc6RTWGpPYrh27J8DpIqRdhIUQYsfxfpKcmBg4ozDM++dsomaIRrpNxYdNVJBHVCkt3nbFOMv7YnxmHE5nRQ2+jHOYhM7mWPiJxhM/IwAngxS3rg8DATk2SeLiZ8cEwIBhGgmtUc9tkwoGKyscSg21IPNJMskquDtJ42H/mWT5NgwFm3cuNFdz1THpFTJlvgB6yvJgyFKX2J+8Xrb6TtEgRBC9CXDGAnGYdoQgtoLxjWCh3LrvDZWChttDhuHKKSlsAWHiZ9gMPEzAkwuiBjAE8nEkiwmfkJAvADK4j5ACt4xUnvwbms3q6+vd8ZkMaRzsWaOKA/f37uIG+OWSZbIRbKppEYURALGC2ML0eig2lE2xQ8Ue19JFa4RUSCM2PgoKkYSIgjxaNfOAPoX4wZ2ia61A9oR7UVFi6WwhQ8TP8FQeluE2LHhgRQDPJF0boodpNLJKQnJv8XII1/WyAErV0afMeIwDh55ROSMMyRidUd/nwUwPBDNpA7gQWOiUY8ahkmhThxMnmxsiTHLRKvGLNdh+vTpLmLB97c0ndRBRGrJWdpWUJ7WQ4cOuWc1dIKmWPtKunC98NATAeT+0B5wNgD9DxHJdaSPmYOheKFdIHj27Nnj2gRtg98xjmif0rQ2HrymMLZogQ3sGOwgjmlv9FMT1tkB0cp945rT3w1/sMjPCJDyxmSSjtq2yE+IoAAChRAAIy6L+wB5YWLZvXv3cNoXRkmhbfSI0CHSE78fBB5CvPjmic4cJkFNx50xY0ZgzpVsR368FENfCQKMWPofc4830opIIhJEpNX6X3HA/ceBS3ugH/GzFjPAiMY28bYFhBC/sxS28GGRn2Aw8ZMABgnKynJp0pn8TfyEDG8KHJ6Tu+7K+hogQBBQPZC2odC2EAb5bJSo6IlfjI3Y4bsxmRr+oSWvub5NTU2x3/pLLsUPFGpfyQZcO7zFLS0trp0oGL1cP7z5FkkrPLjvRPuI2nL/sWN0POZ+c/9xJNB/+NlS2PIDEz/BYOInAYSHCRNDqut9wMRPCPFuhIq3PMv7AHmhfdFGNDrCoIZnO9/SwBiQmWi9aw6YWDGubOF1cGgKS5DjS67Fj1IofSUXqAjCMaEpcUA6Nv2TB8dGfoKwJapDaijRdu619z4D95dxgrEYZwnPVoUtvzDxEwwmfhKg4gVDbunSpSlPECZ+QgriBxEECKA77sh6EQSFaAlGrE5W+ZTaw7mzpide9JBWg2cZD6MRHIwtjDGQyv5jqRAW8QP53FfCAFM8UVlEENdSYV6jv7KOwwzh8EMkB5GD2NEqbNxb+oVX9DAWMyYwHvOwFLb8xsRPMJj4ScCWLVucRyXdxmbiJ8Tcd5/Ir34VPW5sjEaAUozs+QWe2XxK7UmU3obRpKLHJtjsgNFD6hvMmjXLGa9+EybxA/nWV8IKxjPRWq8IQkxSiMTWBIUH2js2CPcJoYPx613H5RU93DPGYcQsWSoUJkDwGIWBiZ9gMPETB4MOe2nwjFGBcZEqJn5CjlcALVgg8n//Lwnx0Z9zAKk9lDDWrsggF6bUHiZY1g+QVqHnyIRL5RkTPblhw4YNzhjC2CE112/CJn6UsPeVfIBrp2uCvBEDXRNkIij7eFPYEDtUi8UGiYd7R7/nNRU9PBA7FECxVOPCw8RPMFip6zgYeJgYgJxoKuWkCt41K3UdYs47T+TAARF2y8eTTFlffpej1A/aGPnYTHxMbEyEtEEmslymkJFmcfDgQSfm1VOsogeDEyMp1ZRQwx+4HxhLGEFBjDHZLnWdLGHtK/kEfZjrhXOP9CiuIX2d68ncxYN+zWsmgoIB+4DrjJOUMZYH7Rgjl/uh4h5o17R5nrlH3BPuDw8V/zgozAlVmNAuaBPcfyt17R8mfuJgQEIAAZ6UdIw7Ez95AGLn+efZ0CkqglpbRc4/P/Zi9mHiYmBjcsOwxahVEU61tGwaIZwDxi8edoxMhQmYKAPnmU6/MPwD4YOhRDsJ4n6EVfxAmPpKPsN1QkwighBDzFlcU4QQqa3MgwggE5WZgZDh2hK1pPw0+5/xjJ1A++V6K9wTrjdFY7AdsEFo77Rv/lZFEX9DVgqv2/0pbEz8BIOlvcXB/hIM/KRRkLKWzkRqaW95QsR4lFtvFdm6NfrztdeKXH999NgnEA8/+clP5NFHH3VighQFQteXX365vP71r4/91anQdljfgFEH6t3LRmoPa3pIh8EIUvh8S6kIFwgf0iGAtoGx5CdhTXuLJ5d9pdDAFMAoR/jq9QScHhjaFllIDq4dQoU+ykMFeiKYDxhXSVvjmYc6Mpg7aNv8e4V2TX/ECDaRXxxY2lswmPiJI5PNTRUTP3lE5D7JzTdHU9/gne8Uueaa6HGGbN++XT796U87MZGIVatWyec///mEnjs8hVS4wsMPTHoYdbTLIMDLS+qFd6JlIkb0BPWZRvrgLWZtIgQhUPJF/EC2+0qhQ9tizGpvbx+ONGCkEyFiTZBFfU9Fo7A8ECx46UeCtkm7JKKGqCTyFi9isD8Yi72FZTSLhFR87oVRPJj4CQYTPx78MihM/OQZCJ9PfvKkAOI4wxQ4JsR3vetdzot6zjnnyA033CALFixwHsDf/OY38i//8i9OcLz97W+Xd7zjHbF/dSr8LSWlMUIU2qSfFa6YqPkMUjIUxBjVn1hMb97F8KKbnRL1wdj3k3wSP5CNvlJsJDLCMd6pJlasY4NGdRA5+vBGyeNhLMVoxZHENeP6jQTvjd3ANecYEDpEeWjLJjqLExM/wWBrfjwwqGnuOF6udIodgK35yTPwEJ97rsjvfocaEPnTnwjLRPcCSpOf/vSn8sgjj8iKFSvk7rvvdu0JY4HJbNGiRa5dPPbYY04oX0u6XQL4e7yDTJgMfhgg6l3k95l4AHkvvLuk4tFWgc9jkm1sbHSTtRmN4YZ2oNEOPMJ+EuY1P4kIsq8UK8xfCGuuH3MjzkGMcl0PRKpWoRvkOBf4rnxn+gQCG4FC20Icen3HtEH6im7yjEhkPEX0MJ6O1gb5jJ07dzonlL4n79PU1OSerf0WL7bmJxgs8uMBYxCvCxCxSTfH2SI/ecr27SIf/zh5NFFBdPvtElEqsRdT48Mf/rC8+OKL8rnPfU4uuOCC2G9PQrd77rnn5IwzzhjVG6ggUGhXmpbGv0k3tQdxTi65t8wtEyzRnkQpeEY40fEKo2vZsmW+Gkj5Fvnx4mdfMaIwXmGEIQA0rYt2hzFGamyhGOcqdhDNPOt3TQTCDwcp7QohSCpbqmKQ96cAAmOyglBiLLa9egywyE8wmPjxgBecAZ6BfPny5bHfpo6JnzxmzRoRDYZiLH3taxKZ4aM/p8BrX/ta55V/6KGHkhI3yUBXpW1pdBIwTJNN7UmUxsLkzWJmqmQZ+QUG065du9wx0cR0I9WJyGfxA5n2FSMxRH60KIqOIcxzXNt82x9IU9gwLHkwXnsrr8XD90SQYITS1zIpBa7XkQITmjaHcCJahCPK2qihmPgJBouletAUEj+NCCPPOOsskZtuih5HBhz5p3+SiFqI/pwC2pb8Ej7AhEhKGmJFPa14YkmXGG3SZqLl77Zs2TKcVqET7cKFC0345CneccobxTPS7yvG6HAtETqLFy926XBA9AKhSYEXTaENI5wn4x/tAIOS9b088zPGpbdd8D0xNvmu8+bNc05MHrNnz3Yij76XrkDBacFYzOeq8CFN7rTTTrMNZg0jS5j48aAGBB4do4i57LKTFd9IhfvCF9j8JvpzkqigCMLQYv0Qnn7SI4CJe+vWre45HlI3dKJVTy2pKvx7JlybaPMXPNFq2Jv4SUwqfcVIHtJjWY9COiHtEIiibNu2zaVx4XDJNYgdMjAQZhQH4UFVQBU73nPUqA5iB+/60qVL3TM/83v9jpnA+SC2iNZyDLRLCuHgiCr09VOGESas4EEMBiNC+YBxmIk33AoeFABnnily4EB0A9TIZJnqJqikDTHpMonigU4EYuSZZ55x3sRUoW3hJcToJcrERK4pPrRdfmZdD2lu6l1kosVgwSC0ibYwIIURgU2EkYXVfoGBCHi/eeQzY/UVcwCkDxEQxhNA/DCm8Yzo4LVsrSHknrJOh/tK22XsI61M52Kv0AHEjBYmIDqoaXu0dc7ZzzbBNSG9DeGlTgraJJ+L6LF1lsZo0KaxT2knVvDAP0z8xGCA1AmRATGT6I+JnwLhvPNEnn9eIjMXibfM9CLLlsVeHB3SKxA2TMBXXnll7LcnWbNmjbz73e92f3fppZfGfpsaTNBM4EzkeDKZZHnG8OBzdcE30QGdaP3wYBrhgfuNQc899nNiLCTxAyP1FasGlzlcW6IjiAfmPQw1FZi0TV7z+/ryGQh/HjgtvVXYeI37q/DZiFz6B2u+KCaA2NEqbEE6gvj+RHq4FnpOnAdOKBPeRjKY+AkGEz8xGDQRLcDAmMlaDRM/BQITNtGeJ54QOXo0KoRYcDhCJMcLqQy//OUv3RoDcuFJocA4IArz29/+Vv7v//2/Tpy8//3vd6IkE5jAMewwBNSgw8NI+2OCJ2cdA9Ym2sKDcYb7jWHl51hTaOJH0b5COih9EaMC44Lfmwc+MxhvMM68AhPjX4v/ZLKWVsUO+zgR1aF9Ms/S9uPFDp+FoOU+M5czvhKdoh1zj4MUOwrngygj+s/5AeeF6MG5amLbSBYTP8Fg1d5iMJjqhE+lt0wGJwY8HfCt2lsBsHWryM03R9f9MIHfdZdEZrHYiyND/vtnPvOZ4XYVz1VXXeVKYvsBRgHeT4wO0qAQOkQvNaXDhE9hQoSP+w6Zjlte8r3a21gQmWCcJvKq8D2tGpw/MAZRPRWRqSBGKIvNvDga3BscQ4xlPDiOT1vzwvsRXSKS4tf6nExAkCHQNPIOCB4iTiZ6jFSxam/BYOInBos0MSCJ+LBOIxNM/BQgv/+9yL33RgUQ3pcvfzmpEth4lx9++GH505/+5NLg+JkB7PLLL5fXv/71sb9Kn0RGBu2Oz1GDgUGThcl+Vp4zwgHGO2sJgApcfhVrKXTxozBOIx7pL2B9xV/iry9RF64vIkXBq834RbQa4TCa2EE8EKXjPvGgvYflXmFKsbYHZ5eeP+fHmk6EmWGkg4mfYDDxE4P0JAZgBilSljLBxE+B8sADIt/9bvSYzU/vvJOyR9GfcwDhcG9lJdobkR5SPkg3oU1rygUGgm30WHhgLJJWCaQ3eo3KTCgW8QPWV4IFBw2REI2yYXIgCphrMer0uieCMY2/4++5HwifMEZP+A67d+8ejvYQPSTVzqI9RqaY+AkG65UxdAC2vG9jRK699mTFN1Lh/u3fosdZBmMCbz8iW4UPa3so6at7b2AsEAlgnRHwb3RPC/N3FA4Yh4pWkjJSw/pKcDA+IS65xkR9cDDyIEJCxNqbGga0Z9Y1EC3RvXUQoghwjL8wCglSTymfrt+F74CRylojEz6GEU6sZ8Yw8WMkBWt0NDL40EPRaFAWwdPPWiK8qBhmGBSU0sZAiF/Iy8TLaxgSOglj0BEpMEO5MPCKH4x2Iz2sr/gD8yhZD0SkEZDejURJfUPAeMcpri2FEBALpJsjdrgHWjghzCDsiPZ40/pY24OQtjQ3wwg3Jn4iYDSoB91yvY1RoeDBZz97cr0PaXBr10aPAwShowaFCnUMiWR2BceQWLhw4XC1JTyUeCq9i72N/EWNSW0XRvpYX0kejeogdohC60aiHLN+llQdnVcBMcNYRXomD6LUiAQqFiIg8km8U3mOzaN5Br6bblZq0R7DCD+25icCgy8THOBBpypNJtianyJg/XqRT30qWgAhIkLka19LqgBCOmAU4GEk6gNMrkyyY4meeDBEyL2nbSrkpVOBySbs/AUjDCOUcYvxyw+Kac1PIqyvvByuCWIQUcODY6+4iYf5b7QqbIh10ne94xpRn0zn36AhikUZazWdEMy0i/jIu2H4AQ5PW/PjP7bPTwQMBxaPA2HrTFPfbJ+fIqC+nsUC0b1/8Li/8ILIhRdGf+cjtEuED20UWPCrC9tTLcnL37M2CCOEwZTJGwOGHHzezybv/ATvM4Yk9w9DzA8w8IAJl0exYX0lKk5oWwhALanOMdeD17x+U4QLIof2h1im8Aplw0fbSJTf6Tor5kuEFJ+HsyeMhQ0Yg1mnpIKY89etBMx5ZASF7fMTDCZ+IuB50vA1A3amqW8mfoqEZcsYmaLFD5gQ9+8XueSS2IuZgSFABBEjVL2reJ7x7Md7UFMFwwKjhHaPocGDCZ3BNZONCI3cgEGu4tiv8abYxY9SLH2FMYb1N8xd8RuJIvrixQ5jEBEaHhj/8RuJJuuY4e8Qkzxox5wHn0eaIe+V6VjnF5zPrl27hvsZQo80t2LuG0Z2MPETDCZ+IjDYMsgD4idTr56JnyLirLNEXnxRpKVFZO9erAJ2m4y9mB4MdER7tE3iVWQxtp8bMCLw8bpizNFWMWzU68qE7tfnGMGjKUjcM9qIH5j4OUkh9hVEBoIOw4p7TVSHCmw6d6nDRVGxQ2aERjsQhXz/VMTOSPD+GHYqtPh8BAe/z7XI1Ouj4g+Rx3icqZ1gGMlg4icYLFYbgYal2IBmpATt5aMfpdZ09Ocf/CAaCUoTjCoqTGkePMYF1YOCyIPXHHtvhSu8vng4MeyM/EAj1VSc8nrnDf/I977CHEfEKlEVNsSzV+zw/Rh3EDisMVi+fHlWqrAx9/J5rJ9BTHFOpJl59zLLJlwzvUb0K86vqanJiT9tA4Zh5CfWg+OwQc1IGaJ7N98cFUIUQGDz01heeCowybIAWMU4XlYm26BTPzBovBWuMIYoAMKzEX687cNEa7DkQ19BKOA8QewkW4WN78WGnFpymmfEDyIo23Mi2RJ8vrZrzhmHkNdJGTRcIz5T7yvXwbuPmmEY+Y1Z+hG0Rr8JHyNtVq0SedvboscRESP33hs9TgLaHzvMq4eRdkhaRTbLprIJITnsGlbHiPaek2EYUcLWVxAyGOl8vkZ1MNy16mi8aFCxQyRHNxLlmJTJXIidRLCmBrHBWiAgFS9bIpP0PyJ62XZCGYaRPWzNTwRSjRhcSR/xY42OrfkpUljrs2mTyIED0UfEkIhYFrEXE0M7wXAi1x1YYI3XEyMk25BqEl/himfODSPEnAPhBCNN96FhbYofRhqGNNAOc9EWw04u+wr3mzmLiEgQVdjCAudOe2Ze5rsh8lj/oN/Jb3h/BCPXlGvItaGyJmt88nFdl1EY2JqfYDBrxjD85OMfF2lsjB5/5ztRMTQCGKzeHeSZ6BE+DHK5hAHWm9pDFSZLgwsvXgPWm85kBE82+goVxhgrMMy3bds2nMKG4CG9LVEKGyInDClsfoD4QITo2jbEHunBfrZ1jEucUBiagDDkvprwN4zCxCI/EZhEMEBJZ2CgzRSL/BQxTNDnnivy6KPUUBd57jl5OPK7L993nzz55JMuXQaRg2ddKwjhVSTFjZz7sBgn8RWuMDQ0uoDX1Tyh4QHDTY02DF8/xLNFfpLHz77Cv+U9+PekX1FymkiEZid413QxVnCvieLEV2HDeOe1QumniDquMaKSa4AgZJ5lDU6m0Sve01vGms+ZO3fusNgyjFxikZ9gGBcxvoo+od/vHXTVK8eATT61UYSsWSMvfPSjcskTT0jP4KCr1sYAhmf4Va96ldwbWxPExM1EG2YDk7aMEaaeVgwr1iThLDByD6lWRASAfaD8qAy4bt0694wxzcNIjlT7Cuv9iN5wD5mDEDi6BjUehAzvR1od4wXH+RjJyQSuK1Ef3QYg0/ETgXnw4EH3vlxfKs1ZmpsRJvy2T40oJn4imPgx/IYJtSliiM6cPdtFe9RIwch5/vnn5aKLLpKvfe1rzlhVT31nX6f0DvbK0f6jcmwgmjbD87H+5FJoSktKZVrlNCmJZbPWja+T0nGlMql8kkwqy0xc4RXF6MA4A74Pnma8pEZuQVSTCgVajjhTTPykz2h9hQwDFTo88zcjTcHMH0SOEE5EOEitM6M8CpFJjU4CoiWVLAvEDmW0iahBPjihjOLExE8wmPiJYOLH8Jt3vOMd8uCDD8qZZ54Z+81JaGtPPf2UfPKRT0pfaZ+09rZKW2+bDJ5I7PH1i/Gl46WqosoJpKryquHj+vH1Mn3CdGmYEDF0xzdIRWnitCkMBrzatG0FQzubVemMl2PiJ3zQV9ifhsgCx6RqYWAzJ4wkYHCCENUhoqOixxgZhAsChusLRDxp/2ONRfQXNpFGfALX2+uEMowwYeInGEz8RDDxY/jB4eOHZe+xve7xtnPeJrPqZzlhkIjHHntMlr5vqTReHiuOECIQRAihpslNMnvSbFkydYk0Tmp0YgniU3vwSGM8mLGWG0z8hAPS1TCoSWNjPiGqow8Fwxxjm7mB+Ya+w3MxprD5AVE2hIyu10E8EsEZ6Vpyf/h7+gwkK5gMI1eY+AkGEz8RTPwYqYLQ2XRkk+w9ulc2H9k8LHqUX7/p17K4abErYpCIxx9/XM59z7ly0ZsvkuqKapk+cbpMKZ/iIjIaoYEJZRPc75Khb6jPnRcMRf5r7Wl1x5390XQ60upIoeNvOvo7ho+TjTghihZVLZIFVQukaXyT1ByrkaH+qADCeLA0uNxg4if7MG1y3RE6PFiDQnQn0XSKkwDjnIgP0R8W0rMOyI/7ZERFJwULuA+AkEQAMf96YY7n79RpQ5oc47OlEhphxsRPMJj4iWDixxgN1t0c7D4oGzo2yNq2tbK9a/uYaWp//MQfZVLLJFdqNh7y/on8UMUp12KB78B3OdhzUA50H5Dmnmb3XQ/1HpIdXTukbzBahjsRrC26ePzFsrBsoRNriLQZdTNk9izzpGYTEz/Bg8HsXavDsxrR8WBMEwUldY0H8wqix1JGg4N7wbyrVfbi1/B4o9XcHxw1Jj6NfMDETzCY+Ilg4sfwgsG/4cgGWde+Tl5sf1G2dm4dUQRQUGDR1EUuLWz2xNnSOLlRfrn7l/Lgbx+UZz7+jFvz4y2fTndbu3atVE4uk707DsR+G16IDO0+tttFuDZ1bHLRLUSRV/jNLZkrq0pXuWsxLvKfVIpMrJ8oy2uXu5S5kdYQGf5g4sd/uKZUZtTIDj+PJHYQL0QbmD94kMqG8Z0IrxEO/D0po1ZW2R8oNNPS0uKOVeSQdsjaK+BeIYpIjzOMfMDETzCY+InA5mZMdHjpqMyVKSZ+8gsMeQx6hM4zLc+4dLaRxE7TlCY5fdrpMnfyXGfYz5o0y6WpASLpzjV3yo72HTIwOCAHfnFAtv3HNpdegUFKWkxz8wEZlH555ccb5TM3fE8umnGR+7f5hDcShhhad3iddBzrkHNKz5Ep46a4v+k90StrBtdI57hOd51W1a6S1zS+Zjidz/APUqq2bNnijkmn8iOaWEziByFCNIfryDNzAWJnJBjXmStU8BDlSSV6w+d4q8EhfBBAvJeRObohLPeVa6yFJnhwnbl3hpEvmPgJBhM/EfwWKyZ+wg9rYBA7RHceO/iYHOo5WTZVIWKB4X5GzRmyeOpiJ3goH52Ih/c9LF9/6evS1hWt7rRk0hK5fsH1Uhn5765/vkueefIZmTxlslw5p0H2rVgvXRMHZdzcJrn9L/9VVtWsir1L/kKEiOt55NAR6e3qdeuJWHe0cXCjbBrcJCci/wHi8dz6c50YKoTvHQaYGJkggcnRDyO6kMWPih2uGw+ONRITD6KGSI6msRExYFzPFD4vPg2O61xfX29rUHyANVhEQ1XEIlRPP/10i7AZeYeJn2Aw8RPBxE9xQDTnTy1/kqcPPS1PHnrSCaB4MM7Pqj1LTq853RnnY6VsEQX52ktfk9/t/Z1093S71K/XTHuN/OWiv5Tq2uqXGzKDg9L26Q/JZ6c9Kn2RebjmjAvkriu+4aqrFQq0/b3798qR40ekq69LdvbtlEeOPyLHhk7dr4jvvLJmpVw661JLj8sAEz+jk0kKG8epRHVShb5iaXD+QoSdwgbcc4QtYzDClcpuREaDvJ+G4TcmfoLBxE8E9mNob2934fFly5bFfps+Jn7CAyltT7c87dLZfn/g9y9LZ8PgXjZ1mRM7Z9ef7aqZJcv6w+vl3nX3yu4ju53waahokDc0vEHOajxLptRG078SUbZlm7zw5Y/Kl+Zvl3GV42XOeVfKPa/8ynD6XCEQn9pz/MRx2VG+Q57rei5hWiGbsL561qvl/Onnu7RCRKSRHHi5MfaAtF0/0nryVfxoVAeRQ2GRZFLYiOZwzYjuEOXJtnFsaXD+wb327uHDfeX6UhEOrLS1kW+Y+AkGEz8RvLtFExrPFBM/uYfF+Y82P+oepGR5wdA+q+4suWz2Zc7QTjXigKD64bYfygPbH5Duvm7p7emVs6acJX89/a/dxDph8oTYX47MhP/4f/LjZ78pv5h5SMZNnyGrz3q9fOqsTxWUABoptWdKzRT57f7furVCCNN4IURqIULo4ukXu7LaxuhwfRlzgPGGcSdT8kX8qNjBOOCRixQ2Pxipr1gaXPIgfLZt2+YiP8C14xoifBBECGIgmocRaQLIyAdM/ASDiZ8IXvGzYsWKjCcbEz+5gX1siO4geBA/XhA4pLNdMvMSuXD6hWlHFigHfc+L98jGjo3S09sjpQOlcnXd1XJxzcVSPb06KeHjiEzIU26/S+4aeFCendYp45YulyuXXys3rrgx9geFA30hPrWH9BP6B/dsbftat2YKMRQvhJZPWy6XzLjEiSFEq/Fyikn8eFPYxorqYNxmM4XND0brK8bIIHqJfqrwiW+3XE8KG3kF0Lx580asymcYYcHETzCY+IlAyhupb+CH8WDiJ7tQZe3B3Q860RNvPC+pXuLWlLxy5iszNp4x0L+x4RvSPdAtPcd7ZFbpLHlTw5tk9oTZUje7TsrHp9ZuSvcdkNJPfkr+acEG2T5tQEpWniHvOeP9ctWcq2J/UTjEp/ZgdGDUTZlyMj2QNVhcYx7x5bQ1Le7PG//crcsyTkJpX0r8wvLly30x8MMgfjBY001h48HP+ejdT6avGCehjSBsiPDguBxpDx9MHeZ55mYwAWTkAyZ+gsHETwS/PacmfoIHkfP4oced6Nl6ZOsphvK0ymkupQ1D2Y9CAlrUAHE1MDQg/X39cuGkC+Xq+qulvKxc6hrrpKw8vQXKEx74hQz+5MfyyeWbZd+8qVIyb4F8bNXH8rIE9lgkSu2pra11u6zHG6lE2P53z/+6a97a2xr7bRSiQX859y/dGq1CShNMF7/TdiEX4kfFTrIpbBivpLDxHKYUNj9Ipa8UMwhjIj66poe1UqzrGQ2uq+77Q/tBABVS2zEKCxM/wWDiJwL7AuBpg4ULF7rJNBNM/AQH0YH/3vXf8j97/udlRjHV2a5uutqVUvZrwbwWNdjfvd8JH9Lc3lT7Jlk+abmUlpVK/Zx695wJU269Q/bvekE+u2KbdK5cLJOqG+Tz530+peIL+QT9DQ+sGiz0t6ampoQVrrRgxX/t+i9XStsLwvZ1Ta+Tq+de7dv9zkd0vOH6LV26NPbbzMiG+Cn0FDY/SKWvFBu0G9byaKpbMsJHMQFk5AsmfoLBxE8EGhYNDGhcNLJMMPHjPwgdBM9Dux9ykRgFz/+fzfoz+cumv5TGSY2x32aOt6hB31CfEz5NFU3ytpq3yaTSSVJeEY34lJRmboCVtLTK1A9/Sp6dcEi+sGKvDK08XRqmzJIvX/Dlgt0UFEMXj623whU7r5OuNBK7una5QgkP73/YrRVSuEZEgthElahfsYEB2NnZ6RbzL1rkj2D2W/wUawqbH6TTVwqddCI+8TQ3N0tra9SBZgLICCsmfoLBxE8EJmWqxEA6g2g8Jn78g81Hf7LjJ/K7/b87ZV+emRNnOo//q2e+2neBwGfe9cJdrmhC/1DUQHtN7WvkosqLpCTyH8KndnZtxhEfL5W/+q1M/Nd/d9Xf/n+ru6Vk0WmyaOoiuePcOwp2oT8GMWtV1ANLvr5WaBoNUh4RQIhhBJHCdSLd8U0L3lSwojERW7dudYYxa0KICvhBpuIHbzxrV5i0eRRzCpsfpNtXChE/hI8SL4AwLi2qZoQJEz/BYOInAp41doMGFkvW1NS443Qx8ZM5e4/tdalOv9r7q1PW81DAAOOWUtVBpDpReeyeF+6R9t52J3yqK6vlb2f9rdT11bnXET41s2rSXuMzGqS/lW3cLP/fwl3yu4vrpWzqNLl4xsVuDVAhQxSAtFM1ZhjkMWiSMUK4X/++6d9d0QuFdkE6HNFAymYXOhs3bnRig0XelFr3g1TFD2OopbAFTyZ9pRDACET4IAYRgBSCyNRZaQLICDMmfoLBxE8MP9M8TPykD1GXH2//sav45RU95zecL29a+KbA1sHwWT/Y+gP56Y6fyvHB4+7nCxoukL+u+2vpOxKtIBdExMeLpr/1He+Wu1cfkqfOnyEV5ePlLYveIm9Z+JbYXxUmGMvezQlTrXC1pnWN/GLXL9yzQnlzil4UeiQoiPU5o72nprAxIRPdQfCMJnYYBy2FzT8y7Sv5CsKP7+2n8FG8Aoj2ydpfE0BGGDDxEwwmfmJs2LDBedOI+hD9yQQTP6nDRqSssYlPbyON6Q3z3+Drep54vHv3uKIGJaXyD0v+QZaULpGu9i73N0FGfLyM/+l/uw1Qe0uH5FOvF9k+q1zKS8rlw2d82KX4FTIMRd5StIDhncpGj6QqIp4pkqBoOhwistBSCIn4EPmBmTNnuopgfuAVP3V1dcNih0cyKWyInIqKCkthCwg/+ko+QbvzRnyIcFZXV8de9QcTQEYYMfETDCZ+YrDmh0ndjwZm4id5WL+Bx551Pd5CBmxsec38awKveEZa3bc2fsvt3UOa29wpc+UDKz4g5V3lcrTjqPuboCM+pxAR4FM/8mkp2bdf2iYMyk1vL5djleNkUvkk+exZn5WVNStjf1i4sHifPqSpPRjSLPBOxRAhDe7+rfefIoKI/rxt0dvkslmXuahQIUDUZfv27e6Ya1RVlXmEi8gC4ofrj4Dhuo8ldhg3eVgKW3bxo6+EnXjhM9I+Pn7grQJnAsgIAyZ+gsHETwzyqCkr6odgMfGTHA/tecilmnkrdwWd3qYgtO576T55rPkxF+0ZODEgfzHnL+TaBddKd3u3dLZHzwnB0zC3wZeqbslStmWbW/+DENpwRoN88pVtUjKuxK1foQJcMVQ0i0/twQBhbQMTQCqQBkckiJLlCtfvhqU3OIGd73R1dTnDEBYsWOCM31ThWsev1+F9AfHDOgiFMU1T2CyqEw786ithhO+E8RdEqttIeAUQYt42QjVyiYmfYDDxE0ND3gyw7JKeSeqAiZ/RwRAl2uJdpL6gaoFcv/h6V8ggaFgkf++L90pLT4uL9hBVed+K98my6mUuza2zLXfCR6HyGxXg4MF3nCXfmLxGKkoqZPak2XLneXcWhQBiaEqU2hO/BiUZ2Cz1+1u+71IcFTZLfc+y90jTFH8qpOWC9vZ2d42AsWYsMYIRiUHJZMqD40RRHcQPYyACh1QqS2ELN372lbDgFT6QSVW3VDEBZIQFEz/BUHpbhNhxUeP1dpI6kskkz/tQepbBknx5IwoRnm9v+rZ8e/O3paW3xf2OVKR/XPaP8u5l73aGfZBQxOD+bffL1176mnT2dzrhs6p2ldyy6hb32ceOHDtF+PixgWm6DKxYJhVPPCXjjh6TxduPStul58nW7p0uPW/3sd1yycxLXDSokMH4pi8SZaBPYeCp0c7i7lTSq5omN8lfzP0Lqa6oli2dW1xRC9ogaY/s40RZccRlvtHR0eGMRK4Vu//HO21YE8Tr/N2hQ4eckwcDmWvImOf1fXE9udakFFHIgIgP78kDA9CMv/DiZ18JA7Q/olnpbGDqB1wzUgnpO5wDUVGur6V0GtmGsZuxGgdUUOmexYiJnxhMFuo1w8PJhoHpYuLn5ZDidsdzd8j6jvVOhFCO+LpF18lHz/ioK18dtCFPFbnPrfmc/P7A752xeyLy39sWv02uW3id2yi1u6tbjhw64toBExzCJ+jiBqPCOovp9VLxxydlXF+fnNU3Qw6etVi2d22XQ72HnJA8t/7c2B8XNgz6LG7GkMMQYSJgQsDQS8VJQRs7beppcuWcK6WspMyJIFIeiUT+et+vpX5CvRNJ+QRjFoYi14GxhmvDOhAiQnivETxcq0Rih3+DQUmRBNZRzJgxw02ueBg1Cs5xIaRPFQt+9ZVcwnnj7ebcIdvCR0EAEXXSaoYIIa5tvIPBMILExE8wmPiJwYCmlV6YKHiki4mfk2zv3C63r7ndedh1w1BS2z53zufc+p5seNtJeeIc9h3b585hxsQZbu+c1XWrnUHc09VzivCpm10n5ZW5NxSGZs2Q0pY2Kd25W0r37pNlf/YWebHkgLQdb5MdXTvcHkSLpy6O/XVhQ1/C8FBvLEYJkwKkapzT5s6oOcOt+dlzdI8c7DnoIkGPH3xc1h1e59LhppSHv2ww14BIDuKHtsv1QOzo+ONNZ9OoDteQCRSxQ0oU3uxEUR3eB0z85B9+9pVsg/BhDRttGmijflUwTAccoVzDvr4+Z4ByXogiE0BGtjDxEwwmfmJgHCB+MCLwkGEUpIuJn2gVt29t+pZ8bf3XnLEOrFOhZDMlh7NhXFIy+6vrv+rWevQM9Ej/iX5n8L5n+Xuclx/6evvkcPNhZyDQBmpm1kjFhPCkPw0sWyyVv/m9jIsMfmUHDskZb7xJHj/0hEt/YzH/3Mlz3aMYwODA8CAdi4X59FU83Bgn6aT20AYvnX2pNE5ulA0dG1x7IUJIlJLIICIoTKmFtFG80CpyiOxQpAWDUYW7wqJ3RA2TJQYkZbAp448xl0wKm4mf/MbvvpINOEeED+cItNdEqZzZBltAoz+IH0Ql19AwsoGJn2Aw8eNBKx0xMWTSyIpd/FDI4I7n75CnDj3ljEi4Zt41csvqW2TBlAVZMSj3Htsrn3760/J82/MutYm9ct674r3y2rmvlcrSaPWqwYFBadvXJkODUQ/5tBnTZPyk9NMdAyFivIwbGJKylzZISWublE+qkqXn/5X88eAf3fd6ru05uXjGxXkRqfALUlIx4uljGP54ZUn/YnJIJ12VVLfXNL5Guvq7ZFvnNtdm17Wvk2dbnpUVNStytkEqYxEpbHw3HDPx63UQQzwDggZjUVPYMBoZwxAuXJdUDUgTP4WB330lSFjjQ9sG0tzYyycMERbOgfOhL2o0DaxfGNnAxE8wmPjxgHdH00UQLekOvMUqfljLg9f87hfultbeaAohJas/fdan3SaT2VpQzr5BX1j7BXcOpLlRSY6IE+s9FAQPwmegP7qgtqq2SiZNDedkNrhogVQ8/ieh+EH55q0y/oqrpL6mSZ5pfcaV6GYvG1IIqVpXLBCdZSJQYwSvsRonGCWp9l3a5nkN57mUTKJAFMRoP97u1gKxJox1aUHCmINhytjhXa/Dz3w/Jj++I+Cc0dRcDFqMWMpcM9b4VZjAxE/h4HdfCQKEvabm0YbZqyhM0SmuESKS60ZfRaRxXTlXwwgSEz/BYOLHAw1MUwTwoqZrRBSj+Dl8/LArKPC/e/53uKAB+/XcdPpNwylmQcM5IHoe3P2gS2FCGLx+3uvl7077O5laeXLBrBM++9uk/3jUaz6lZooTP6El0o4GFzRJ5SOP00il5HCHNFx2jQxG/ttweINL6dvcuVlePfPVUlpSPBW5MEhIP8EIwRih32Lc0Yf5fTr9l72Urph9hWs/m45scm2Z9ELWWJ1Vf5ZvAj4+hQ3jj9K6OnbwusL3wPBi4iOiQ2ECxifEEt+X60Bam5/GoomfwiKIvuIXtH1db4uYoJxvGNPySCUlAkSf5frRV0krDFsEzSgsTPwEg4kfD3jCyKEHJnzv5n6pUGzih41CSXNj8TjgJf/UmZ+SV818VdaMcQzUf1rzT64aWv9gv9SMr5H3n/5+eeWMV77sHNoPtMvxnuiC2klVk6SqrioU3s/RGKqrlbLde13hg9I9+2RgxVJZctor3dqfLUe2yOG+w7K/e79LgSs2MJi8Fa54MGFglKTTh2kvRIBOrzldNh/Z7KJApFH+dv9vXSRz+oTpsb9MHiav0VLYMKYUDFQMUlLYEDsIG74fYxKvaVslQsQaBMYZv/dzMfFTmPjdVzKFzz548KA75vOJ+CAywgp9jYgrfZk+i3jEMUG/NIwgMPETDCZ+PDCwqQeKgTjdSb9YxA9ecQoafHfLd52nHN688M3ywZUflNrx2anQwzl8f+v35RsbviFdfV0uzW1lzUr5yBkfkcZJjbG/Oklna6craw0TpkQMgen5U7p0YH6TjGfj08ikWxYRQMf/7BJZWbfKRSXYvJNqdqxXoZJZsUFf81a4wjDBkcEz/Tide4zI+fM5f+4iiqwFoo0jgCicgTAaae0aURv1qo+VwgYYniyqJprDeh02FcXDjKE6miHY0tLijFeMMb8nRRM/hUsQfSUdEGB79+51n0s7J3UTAy/scI70Tb1m9HP6L9fVMPzGxE8wmPjxQKgdbyzGC8dMEOlQDOIHT/itz9zqIi7AovBPrP6EXNl4ZdYqZGHw3/7c7fLIgUfc3j3s3fLOJe+UNy54o1unEQ+bmHa1RzeyrRhfIbUza2VcSX4IHzgxebKMG4oYCus3utQ3ifw8cNpCt1Hr8+3Py5G+I7KxY6M0TGhw65yKDYw2Te0hpQzDhOdMUntoy6wFoqLes63PulRK9gWiGAK/n1A2IWEKG6JHx4GRUtgQOUR2eOb8MKh4PRnjE8NVPeYIJd7TT0z8FDZB9JVUQHTt3LlzeK5tamrKq/QxDFGuEdeL70AkCHshjOl6Rn5j4icYTPzEwWBGLj2TQbrCpdDFz093/lS++MIXpa03WsKaksB3nHtHVg3uh/c9LP/n+f/joh1Ee+ZMmSM3n3GzrJi2IqH4Yi+fjkPRXG13XxrrpKQ0/yaqgaWLpZKNTyl+sHGL9L3qIimbXCXLq5fLk4eedPvVrG1fK+fUneNKixcjI6X2ECFJ17OM+CGNk2vLRFTZXymb922Wwa5B6WnvSSqFjbU6pKcxgSEo1IBKB4xHPhN4b78NRxM/xUEQfWUs+AyEDwIe2MTUb/GeDbTgCH0RAcQz1zJbkTOjODDxEwwmfuJA+DARMJjR0NIxTgpV/JD286UXvyQ/3/Vz5wEH0twoajCxLP1NYVOB/YO+vuHr8h9b/2N4755LZ10qNy6/8ZSiBl7cXj4HD8uJoeheKLWza6W8Ik9ztCPnf2JqlVQ8+TRWhIwbGJT+s1a5UtcIPzbqRAA9dvAxOX/6+Tkr05xr6HsYIvRn7yaggNGSrIHCv6Mvuz7d2Sury1ZL41CjVA1VyeTIf4d7DruS41zncZH/SJclBUajOjy8KWx+GUak3DBOAWuC0hVRI2Hip3jwq68kA/Nq/CampHvmKzg2iJhx7TBQ+X78zjD8wsRPMJj4icNb9ABvVDqLQAtR/Oi+OeyAD0QVPnXWp1xlrGyluW3v3C6fefYzLtUO0YPg+sfl/yhXzblqxMIKVHZr3dfqnmHa9BDu5ZMig3MbpWLNWpf6VrZjl/Sfd7YTRNWV1VI7oTZ6fYb65aWOl+Ti6RcP72tUbGC0ITzow0R0MeoQDBgr9O1EgoH+z98w4WhhgvgqbFxn0t0oMtE61Cqb+jbJlqEt8solr5SmmU1O/BCJCXLhNlEfzocJ0e9iB2Dip7hIp6+kA2t8eH/AkEO45zuIHa6VRoHok/mUwmeEGxM/wWDiJw4GeYwdSLfoQaGJH4zp2569TdqOR68L6W23n3O7LKxa6H7OBg9sf8DtH9Te2+6ED9W4PrrqozJvyrzYX7wcJvD2/ZG/74uWtHZ7+VQXhiE32DgrWvo6YqyXtLVL38UXuN/PmTTHlcBmXQoFINZ3rC+6EtjxYIhgoNAvES9MJEwoaqBguLBGhwICiB1eU28ubUghhQ0DkQlo3qx5Lo3t5y0/l+192+VA3wH546E/uvRDymUHzb59+9y54ZnHa+83Jn6Kk9H6SjqOQC+0KfoZ0KYaGxt9jSrlCrIJcHhwnbhmiDsEo1WAM/zAxE8wmPiJg4GMgR8vDsfpGBaFJH7YMPTedffK8aFomsLVc6+WW864JWvpVMcGjrlUu//a/V+uqAHVzP7mtL8ZsaiBFyq79RyN7cadJyWtk+WU0tcHml3p66GG6H5Ky6qXScfxDlf2m+hES0+LXDA9Ko6KFaIwTByk2yB26J8UDMDRwc94bJlgFPo+woJ/oylsRFgwcvi9E0KVU+WKxiukubtZdh/dPVwNrn58faDr3zh3ddCQMsT5+I2Jn+KFvkK78rMaHAUBqHoIWtnNr2hSGNDxguukAgjbgd8bRiaY+AkGEz8JYMDHwEAAYfikSqGIn6+v/7r8ePuPneBg01JSzK5beF3WoghPtzwt//zcP7soBusq2Cz1Qys/JGfXnT1mqh3lrLvaopXdKsdXyrQZ0/KqslsyDJy2SCp/96iMiwyMZfua5firL3ZrguCM2jPkpcMvuWjd7mO73f2jPHMxgfFGBIfJQ1PY6JcYJ0R19G/o56zJwbDDYEHkkI6DAcjvmHRGMtSoMHjRjItEIk1rXfs611f+dOhP7mdKrgcBYg1jEhBlQXiYTfwUNwgcIkC0Ldobwoe+hFHP71MRLjgcdu/e7fod7ztv3ryMo0hhhGvFddGomRVAMPzAxE8wmPhJAAYRAxgDPo0tVQ9Vvosfigrc/eLdzosNk8omySfO/IS8cuYr3c9Bw949/7njP90eQkeOH3HFFS5ouEBuWnlTUhtMugIHzYfd/eMe1DbW5mVlt7E4MXFC5H+RSffF9VLS3i5Dc+fI4JzZ7jXE4era1W7dD1EghFDj5EZpmtzkXi9EEDQYZ6yHIaqDAa9V2LwpbLQJLSvNA0MMDy1pbAgeJplUDRaEjrccNkKoo6/DpWf6vSaO1CEMK84RkRaEcWXixwD6CWKH9oaTgAfGWLJpcIgAKrtpVHX27NkuelqocL34rsz/PPP9uX6GkS4mfoKh9JOf/ORtGADGSbge3nU/DGipkM/ihw0dP/PMZ2Rt21r3MxuF3nb2bbJs2jL3c9BQWOGO5+6Qh/c/7FLtiDK947R3yBsWvEHKS8b2cDPZtO6NFjjAoM3rym5JMLhwvlT84Y8yLmKcUPzg+JWXDkd/SAukDPkfm//oCiCsaVsjq2pWZWVNSjagj9HXiOqQUsOaHSIiaqip2EmUwqZlp3F0aIUrUlb4GWM/HUGB+CEqyXUmXXNr51YXtTy3/lxfi07s37/ftXPGpaAqZZn4MRTS1Ihg4EBIta8Q8SFiBLTVIIpzhA3EDg4XDFbGIoxWXV9oGKli4icYSq+77joX+aFzWn5qFEQLHmMMDAZ2FjmnQr6KH6qpffqZTzsBAnitbzvnNpdulg0e2vOQfOH5L7jNSzHWWTx+86qbnQGfDEzK3gIHpLqNn1jgkw6OCxbXPr1G2PvnxLRqJ4iUyeWT3foTSmAPDg3KE4eecBG8SeX5ZdDSFzWFjagOYkersGGQ8bpC+gkGCP12tBQ27ds4OIgY0X4wVtJJ7VGognjJjEtkQ8cGtw/WoZ5D7pq/ouEVvlxzDFBEHuh3CgITP4aXdPqKRl6BaA9Rn3ScCvkG35FrwljFuMQ1sgIIRrqY+AmG0ve85z234aXgAjOApRrlKFQwMhjcaXRsIpjKoJ2P4kfLSBP5gctmX+aERzbKJLNQ/N82/Zvbu4fjoch/b5j/Brl+yfXOeE8Wb4EDV9ltanEYbaS6VTz7vJR0HJGy7bvk+GsuxV0be1XcAnwM7+fannMphTxjoIe5BDb9jigOKV7xKWy8hvGlYFRgmNFPZ82a5QQPP6vYGavv4vjBONGIUaqpPfFQBpv+Q5/a371fjvYfdeLzvIbz3H5MmYAhFfR6HzDxYyQi2b7iLXDA75uamorKuarRZiuAYGSKiZ9gKL355ptv48LSQTHa6aQMVualiG4kiJHFYE/DS5Z8Ez/sWv+5Zz/njDRg49J3LXmXWyQfNJs6Nslnn/2sPNvyrIv2UEHro2d81G3QmcpaiZ6uHulsixqF7OMztX5qUXgZHZEJdahmmlT88UkZF2l3JyaMl4Flp8VejEL0h004ScMiJWvX0V1yycxLsrZH02hoVIexB7GD0YTxrf2I9BoVO94UNkSOpq/hWcZxk060BhjvME4YC/lMPg8DjvdLp5oa1/XiGRe7PrXlyBbpHuh2G8+Sdkh0KF10vQ/nFdR6HzDxY4zEWH2F37ORKf2a/jp//vyitCf4zlwTxjGuBf3WCiAYqWLiJxhKv/zlL9+G2KFj0kG5yHhYecabk64xke8wcJFWw8DOMQIoWfJJ/DzW/JjctfYu6RmMRkyuX3y9q+iWDaPYpbmt/YIrx4zwIc3u/ae/X2ZPii7aT5bBgUFp2x+9V6VlkWs+u67oPGxDs2ZECx+0tknZ9p1y/IpLReLWOi2tXuoiEXuO7ZGDPQelZ6DHXfNso2KHQR0jmypsjDnab3hdoe+NlsLm533GKEFEMR4SYeI8EGSMjZxDqp9FHzqn/hwnNjcd2eSimr8/8Ht3H5Ip3JEIXe/D+WBIBYWJH2M0RusrCCFSUYG9fIq5/cQXQOC6WX8yUsHETzC4am+IHAwKOiaDF0YknRWDhGM6cLF5K/i+GGM0Oq4B1ydZ8kX8UEqaqm7HB6MT1XuWv0deP+/17jhISK1D9LCHEHv3UC74LYveIm9a+CZXWS4VTgydcMJnoH/A3bOaWTUFXeBgNIam10vl7//oSl+Pi1yX/lUvL219Rs0Z8kzLM9LZ3+kW5JMOt6R6SezVYKAPYRBlI4XNDxgPEReMhaT1kALLBIRXm/NLFQQmxTqIsFIJjhQ47kOqhScwKHW9D9cnyBRlEz9GMsT3FeY+jQLRRtPZKqLQ4ProWMcz40gqmSRGcWPiJxiGS11jVDDJ4U0kzQTjHaOEzsrFp+ILA10xoYMVgzqNLtkoWD6In4f3PSxffOGLbv+citIKl2p26exLY68GB2lXtz5zq2zr3OaiPU1TmuSWVbc4YzA+2jRz4ky3RkLT8RLRcbBDert73THrfCZW+b/hY77AJqcVz69zZa+p/Nb36ouj5bA9IDQpy0wFOIQnVf3mV813Vf38QKM6pIwybuQihc0PdFNUzhfDju/F94F0xABFO2ZOmilPHXrKtXvKyC+sWphSlBPhw7kwViMMg7w+Jn6MZNG+wlyJ8AH6Cw7DVDImChX6K+Mc4wdjH2MhDp1cjm9G/mDiJxhelseBZ5NQNTswq2eRC793717Zvn27m3yLBTw2CiH9QgHhc99L97nF7/Ch0z8U3agxQNg76EfbfuSKKrT0tDjD+3XzXie3nnVrwhQghM+4b45zD44TwTofNjOFygmVMnmaTbTdb7s2etDXJxP+38+jx3FwvT9w+gdcGXHawD0v3OOiQOmAkYPRg7G8Y8cO2bhxo3smwqPps4pGdRA4rANYunSpe+ZnDGyMqDChIoMqVRgqGC58T9YzIIpS5dUzXy2fPPOT7pjrTvRzTesa93My6BiUbgTKMIKC/kBkEgcpTg2eEevp9pVCg/RArXbH9dBNXw3DyA0jJrEzwS5cuHB44gc8ugigffv2FcWA5vU+F4r48QofIj4fW/WxwIUPpatveeoW+f7W77soDhXcPr764/LX8/467aIKrPM50nLEHTPZ1syMpm0WOwMrlkn/2avdccXvH5WS5oPuOJ5l1cvkfcvf56IQLMb//HOfd2WZxwIxg6hhDNi0aZOsX7/eiR1EASLIO6FjoOOpYgxZsmSJe8yZM2dY7Pi5XidI+A6LFi1yBgzgud2yZYv7vqnCnj8IIPoeDoHb19zu0k/Hguuu6yi8ThnDCANEeLEJ6PNex2kmfaXQwPGjnnui4KzfMwwjN4xpfdBZTzvtNJe7i3GJ9xPjZ/PmzS6HX1NYChU1NBA/+S74Hm1+dFj4IDo+ufqTgQsfxNZNj9/kKl5h7J0+7XT553P/2RnfqVA7vlZmTJzhnlk/cfjA4eH7gfApKc0PQzob9Lz5ryWi2nHHysTv/Sj225ezuna1K25BFA7hc/tzt7tF+YpGdfDgqtjhwXF8VAchg6DRqM7y5cud2EH4MIbke6SC88cZpGv/SIVV0Zcq5zec7/oem9BqBIj1QKNBGqFiaWhGmGB80PZJ2jyp3n71lUKD1F4VhqQzmSg0jNyQlMVI9IM9JfB+ko8PGJ54LrZu3VrQHdj7ffFi5Suk19y77t7hiA/e5yArfSF0vrHhG+4zu/q7nHB+66K3ygdXfjDlvU6oTHbFg1fIhH+bIJf992Wyo2uHTKiMTiCs86mcGN79anLB4Pwm6bvwFe64nP1/2trdcSKumnOV2/OHCNCOzh1yx9N3yIGDB5JKYUPUMC4kSmHLl6hOKvCdvGlwoOl+GHipQN+76fSbnBOCvnLHmjtGTT1U45J0omJbe2mEF+Z+FTUY9fQPxno/+0ohwXUh+q3jI+lv3nHVMIzskJKFQtrH3LlzZd68ecOeXFIxGNB27tzpqiIVGizY1ME7X8XPi+0vyuef/7wzsoA1PqTfBAVe7I/86SPyX7v+y0UVplZMlU+v/rS8pvE1aaW5XffwdfLIgUdcVToW6iOAxk0bJ1VTq2ydzwgcv+ry6EFEtE/44X9Gj+MgdbC7s1uuqb5GZkX+o30/uvdR+c767zijZqwUNo6JCBeq2BkJrgOebU2D41ql4wQi6qprgIi43fr0rW5j1HgwjkiTAZwxlt5phAHGB8rUk/1B/8c2iB8H/OorhQQL13ESAU5V1lMbhpFdhqu9pQKdlzKWGESsA2LwQ/hoGhweoEIxhjA0EHgYH3xHvvdY3w0jMizV3jCm/unZf3LGFcKDympBprp9d8t35V/W/4u09ra6SnLnNpwr71vxvhGLFowE0SHOG2ZMmCHP/PUzcsvqW9z6iM1HNstg5L9rllwjfScKT3D7wVBtjZTt2iOl+w5I6Z590nf+udJbXuGKRPR09khHS4d0tUfa6bFeGegbkBWTVshLx16SY4PHZEfPDpk9ZbacMesMN0njwUXkhKEKW1jgGpDWg/GSSTU4qr01TGiQPx36k4u+/anlT3LR9ItcCXKF/cbUWCTSpo6nTOHceXDujG08EFo8dI8zxnoKUah3mr/lwRhoIqy4If1V18IyToy0Fs2vvlJIsKYaGwHbgr5FH9N0OMPwYtXegmFcZILLaNEOA5puUqjQkZmkC2U3Y8QMVWtA1zCMhq6JwEjBQ54rECAfefIjbl8dePeyd8vVc692x37DZ9374r3yfPvzTvSwLucdS94hFzZcGPuL1NBqb4DwmT9lvnS2dUrn+E5Z9cAqWVC1QDa/eXNSi/SLkaHBiJG6Y7eUfP8B6a6plZ7Fi6Rv0YLYq6fCxrDjJ46XlsEWuXvz3RIxf2V82Xj53Dmfc2WxjdEhJY0+j1EHGIFUzExFJN6/7X65f+v97pi2f88F9wzvebVt2zZnNJLuRurxaDAeq5BRMcPvSDXiwTmq4BkNjXIz4arXPhF8R4QQD8Z9xnvGPY55jWPeg0cq18MINxhkGrGgvRP1SWau96OvFApcA4pB0Ee5dqQNI4oMwwuZVTi/cBTQRgx/yFj8KEy0DGrecDaTNTuy57t3h0GKAg8YD8k0wDCIHyI9H3/q48NpNNcuuFauX3y9O/Yb0urufuFuaettc97ruVPmukpi6e5iD17xc+IfTsiOlh1uM9OzzjhLSv81YlRFxFXfDX2ukpwRTWE73n1c+nr63L5H/AxlOyMCqLWdZHPpP32ZnKgoHxY7FRMihu3ESvezsr5jvdy99m4ZF/mPdMW7zr/Ltz2AChk8uBiDuhUAxj8GYSrGDMVIfrX3V+4Y0Yn47D/e78QPwzRRZBZMYyzhNdZnr9DxaThPWvykAgYu78WDsZH5QY8LJVOgGGAeJHWNZ9o5gpznZPGjrxQK7Iu0Z88e12/pD1TKs75geDHxEwy+iR8Fzw6RICZihRKPRIKYSPMVSnmSCoKHZvHixaN+l1yLH4oaUEJX9xBhf5GbVkYXV/sJAgtv9S92/cKtx2H3+tfPe7385Zy/lPLSzFJz4sXPmhfXOBGq4mdC2QQ59q5j0tzd7P6mmDgxdEL6jkcM3u6owYvgUbETT2l3t0x+9DGZeOiQlM2fI4PvuE7GlYzuof3Nvt/I97Z8TypKKlyFvXvOv0eqKqKFP4yRYSilCIxGwRkrSJMlJSgZgyZRv7225lppa2lz0Roi6YicsaI2XhAcPDAwVWRwzLnxUKNVf69g3ALpSlq1S8UVDwxf4JmfOSeO9Vl/nwx8NuMpxh8PjGBEkUWKwokaY4Bo0aJAqZBpXykksJdaW1vdMd+fh2EoJn6CwXfxA7wlQoHqLjpRM6DhueSRj4MbXio8sDDWADWW+LniiitiRyfB8MAAWLlypVx77bWyenV0r5Z08HqQV9WschuJUuHNT3Z17XIlevcc3SP9J/qdoXzjiht9S5Pyip8Nb9ogJ1pOuE05u6Z2yTn/eY4rlf3CtS9IS2+L+5tChhS2/r6IyImIneM9x100YCQDWKM65ePLpawi0qYqK2TKl78m5U88hSUsR756t1sPNBb/vvnf5Xf7f+cibMumLZM7zrnD9zZUqMSn9pDLj5HIeDAaCIbDXYfle+u/J4O9gzJ53GSZWTpTpldMd2Nmogg6AoFxgwfv7z1WsZMO69atc8+ZGGOJUvC8x6NNPRjDnD/fmQfXkO/F743cwbxG2wYtgJIJ6faVQoLvjrOBfkF/xcC19T+GYuInGAIRPwqTORETQrv6MQxqpG4QDco3GKBIM+E7sPfRSBNxOuInnk996lPy6le/OvZT8jyw/QFXdACapjTJnefdObx2wC8QVt/a+C05NnDMre9ZPHWxvGf5e6SmcmyjOlm84ufy2ZfLDy/7oYss/dUv/0qePPSkfOSMj8g/nf1P0tnf6f6mkBgphS0eJkrETsX4iMGbIIVNKd2xS6pu+Yw7Pn71ldL9t291x6NBFOL/W/f/ydq2tU70cA8ozWwkB+MEqT08AyKFtQ3eReEIAArG8DcsHOeZcZLU0fWH17vIKgKisbJRZk6Z6SIiVJ9EBGAcMb4EJQj8ED+jwfci/YkHjiW+O8f8fiS4hlwDriGGgF/peEZyYJwzB2Kscy9Id/NDpCTTVwodjFsq5tL/6dNkl5jQN8DETzAEKn4UJjdEEBO9wo0kFS6f8nypZqe7MlPuG0MkEcmKn1//+tfuWeH6/PCHP5T777/frZX67nejIiZZEAVfeP4LznBtmNAgnz/38+7ZLzDG2LuHtChED5/zhnlvkKubrvY9pc4rfkil+/nOn7tj4DutvXatW5cydCL5FKAwkkoKG2KnvLJcKidUSsXEiOCpjBi+Y6SwKVNuu1PKXtrAIg7p+Oa9cmLS2P2O+3vn83e6/WeI7LFmjLVjRnJgJDJe4N3WYRaDjnFBRc9IRGSB/O/+/5X9xyP/fuiI3HLBLXJGwxmxV4MnaPEzEiqC9Powd2hUIB6MROYRxmGua7pRLiM5vOluGGFce79I1FeoMEnbKxYRQKaM7pmU7X5nhBcTP8GQldkCLyUL+QiRa145N3P79u1OKBAhygeIVukEq7nKfoIQfNe73uWOEVqpQBoa1dYwWNk5/tYzb/VV+LAO4cbHbpRf7/212y+obnydfOrMT8nr5r3Od+ETz7++8l/l1bNe7VKweH7kdY9I+bjyvBQ+pLCRutbV1iWte1uleUeze+5s73RlqL3ChyjOpKpJUt1QLXWNdTJj/gz3PKV2ihNAyQof6Hnj66MHfX1S+fAfosdjwH0llZGIHtEIIoqPNT8We9UYC8YKnBi6VofoDgaed7E38HesdWFtTVNTk3OYnLn8TDmj5gzZ0r9FIiaRfHH9F11FxUKH68A4y3Vjol++fLmLslNunevjjfZwTRmHWTC+YcMGN59gPCKcsuDTKyqYj1T40J79FD5AHyDag42gc2xLS4uLhuSLfZApLAnQ9s13944RhmH4S1YiP15Ia2BxHw/9aMLcuh4o7F4ejeowQDMpexcJK5lEfn784x/LD37wA/c3t9xyS+yV0aGU9c1/utmVfcZgZeNEvzYxRUz9ePuP5cfbfuyKGvDzBQ0XyN+c9jcysSy4qB2bby6csdAdb96zWebNmufSrxBeR/qOuBS4fMDvFLZMqPr4bVK6bYeL+hz56heTiv7A3qN75Z+e+yfnna0srXSplEuqs1/II19gjCPVF7GjKb9cO28UgzGPyDeLvHF6qMGnaJT56c6n5YGOB9zfk8Z61yvucs6NoMlV5CcZiJBybalIh0GeKFUOI5KF+Lo3lZE+iA9KMnOdme9IyaI9BgWRv927d7tn4DPnzJnju+AKI4wRiHjGDNotDoD4scEoLizyEwxZFz8KXruDBw+6MLdCGgMevpHSycIAg9NYhQ8yXfNz6aWXygc/+MGkJ212hl/bvtYd46l/TeNr3HGmIKbuefEeeenwS87zT+rTDUtucBuXBgnRkYM7DzpDEQEwvWl6SlGOXOFNYevr7XNFCoJIYUuX8mefl8l3fskdd//ju+T4Za9yx8nw2/2/dUUQiL4R9UMAkZpoRKGtMkHR7xMZ5BiLTF66xkUNGsYP0nvinT4Ym/wtkZDnxj0n39v6Pff78xvOl4+t/ljg0dYwix8vTF84jbjmurl0/JTGvEK0ggfHRmp4093Sre6WKvQnUuXpT8pIfaXQsOpvhhcTP8FQeluE2HFWwRggvYEbyoSFdwmDgc3TmMzwhgbpXUoXBA0NUSsX4bmNH4x1Eub8iWbF873vRQ2ZkSD8f9FFF7nPGgs2R2QNDlw15yq5buF17jhTnm55Wj77zGdl77G9Tvhg6GJ0ZcPj33Gow4kImNYwzVUuCyMIm/7efunp7JGu9i7pbO2UY0eOubS2gf4BJ4YURNzEyRNl0tRJMnnaZJlaF2n7kWMiPGXl0dLDQTM0a4ZUPvqEjDt6TEr37pfjV16KCou9OjpsMssaKxbiEwFcd3idXDz9YhcJKmYQMqSoEKXBUEOwqPGtYxwpXJr+xniBoCFywd8xljDeedes8Duv8XPO7HNkR9cO1xd5AClxQaJrDxifeYQV+o2u/dGy3PzMXKLpUhxzTb2pW/yNedTHhjZN5VaguhviIxtwXxFZRPBG6yuFCLYP35n2y/iCMzgZW8AoTLCJsTcZs8baYN9InpyJH0VvKJ2bgY1BDlHBREXnT5QSkms4H9JZ8E5x/vERmmTFD2lv119//fDjrW99qxvwf/KTn7hB77zzznN/NxIUOPjmhm/Kich/i6oWyS2rbnHloDOBCm5fevFL8v0t35fugW6XXnbprEtdRKm6sjr2V8HRc7RHOtuiFdwmTJ4gVbXh2V+GiBTnd6zjmHS0dDjB093V7cQOQkiNXtoHkRxKTk+unuzW7PA9xk8e79LasiV2EjJxgpQ/vcYJoMH5TTI0e1bshbFZWr3UrTvZ2bVTuvq7XCEE1mCVjCsuI5J+j1GIZxqRQF/ld0CfR+So4EH8MEZ47zfiB4MGYw7DnImNCY5xhL/F84uIoh3pGgiirX9s/qMc7T/qIrHLa5bLjAkzYu/oP/kifuLhWnEdmVMQQtwP7o0KIa414zP3j3mGeccMy8TQNllPxfXjOpJ6xnM2GauvFCKMFYg+Lf5AO2VMydmcYeQUEz/BEAqrhU7NRMUaGp75mU6PANq8ebN7VsMyDCBQdK2PesX8gPe85ppr3HH8eqB4SElD+LAGh1LWHz7jwxnvw7K9c7vc/OTN8uiBR6VvqM+t6fnA6R+Qd5z2jqx4+LnHRE8AIwbRkCtcCltvn4vktB9olwPbD7jH4YOH5VhnZCL2pLNxrqSvVdVUnSxMMKdOqqdXy8Sqib6v3cmEvgtfMbzPz/j/Gb2NJeKdS97pSpsTDXyh/QX5+vqvx14pfJiAEAWbNm1ykR6cNQpOGiK2jGEIFgTDaMYKxhulgnUywzgnvYGUWYxzwOBRY5N1Pjevunm4j9+19i631s8YGcZTIhULFy501xpHlAodDGkEECnMrLHA0FQBa0TxblZOOnquROJIfYW+GCa7wE80kgkIPwxgwzD8I1QuWyZ6BlkmK/U2MklhaDBJacpCrlGxBkR4/DwvvMiAt2ckKDl9+3O3D1d/evfyd0vjpEZ3nC7s3XPLU7fIrqO7nGG7bOoyuePcO+TsurNjfxE8RFJIFwMiJSWl2WueiBkKE3AOLXtaXBU2nknBI9pD1EdBzFCFbdr0aVI/pz6jKmzZ5kRFufRdGl3rQ+nrsm073XGysNYEQUzUgXZCu3loz0OxVwsTRA4ecBwxGFyMSYBxTVoa4xXVLL1iJRk0soNHXYUS0SQdT+KjxkR3KTcOnX2dbpNhnB/G2BBBYH85xKluU6DXPP7+apSomCHtSg1unH1EMHNJor7CvSrkanAURFHBiRDVcccwjMwJZb4KExULu5ikNLSNyMDbwyQ1mjDIFuTuMyCD5udnCmsH7r77bndMideRYINRSlvD65peJ6+emfpmqAreYwomfOWlr8ix/mOufPS186+VD638kEytyN6E56IsHbF8/PEVMnFqsPs/9R/vdxXlEDeHdh+Klpze1+pS7jgXrxeYNDUVOwgdHhrV4VzzoRiDl+Ov+TM6mTuu/N/oerFUmFI+xQkgohEIICKQlEIvJPAoY/yxqaNGBvgdhheGIGMThjTiB890JvB+iCfGOgw5jBzS3tTr7oX+ftnsy9wx669+uO2H7thIDu4fwsd7/zSKz7XHoEYE4XDjHhQjjH2IcG3viMawoH1FS0LjKKCPhsUx6ifYFwggYExAABmG4Q85q/aWLJyelsZWzweDAl5RBEi2c5C9MEGSkgeU/9QBOdNqb0zGiKAVK1bEfnMSjMzb19zuPL6UvqXqFmlv6fBi+4ty9wt3S1tvmzNip1VOc7v4z5syL/YX2YO9blg7w2RLFAVR4Re0oYHjA+79ET29x3pHTHHh84nsUIjAVWKbUBGqtDW/mPiv/y6Vv/oti+7kyFfvlqHq1IXuho4NLv2qJPLfpPJJcs8F92Qcgcw1tAv6NOmsXvHBOMN4o+sTg4DxhAefqwVfMM7jK1zR99/96LuHS9vfdf5dLirkJ/lS7c0PGB9Yw8k996YyAkKJ659P654yBQHIAzC+s1XkIBXop4gBnX8hUV8pBCj7Tfvke5H+p3aGURxYtbdgyHnBg7Ggw3PTMTrUI8pkRWPAM4uBQKQoFwMenlpEjkIVGkin2huCju9JlTf290kkmkh1+eyzn3WFCDB6PnvWZ2X6hKhnKBXYK+e+9ffJdzZ9x71n/4l+Oa/hPPngyg+m9X6ZQtGAox1H3fGUaVNcRCUTdL2Otwrb0SNHXVob5ae9ep/rjtCi8tqUmimuChvP4yeNd6WoNbpXaAzNmB6N+uBQiPSfgRVLY68kT/34eqkdXytPtz7tIoasAbpkxiV5WQGOsQVDig1ItZgJ0McxAEm5oX8H5Wwh6oDThPdnHKDd6TiHQe6tcEWBCcTOI82PyMDQgLvuVzReIWUlL99zLF3U+OVceBQyzB3MIcwxfFfuvWYX8Mw8Q5vQuaaQoR2SXUHbQ+TT7sM4BnLP6BOcI31kpL5SCNDmaIN8R+wfK35QXHDvcYhZwQN/CX3kJx4GNzw+Xg8dXlJC8zxnG/XKMNiSRkHUZqzIT7p49/N5z/L3uNLWqbKpY5MTPlTsItrD3j3vWPIOubDhwthfZBc/9vQZ6ItGddhIVCuvjQQGjJaXrpxU6QROsU4kU2670637oQAC0Z/IxYm9kho/2vYjt+6HtrR02lK545w7Mi6+kS0QPXj8eWhkGRhLiPSw3iEb7YM9z0h7BdJ6GE8wQjX1inElfqPHB7Y/IN/d8l13TOorRU/8opgiP4ngutMmMDxUCAMpjsw1hSoId+3aNVxwo6mpadihF2ZwNI7VV/IdbzQOQWpGcPFgkZ9gCH3kJx4EhaaeMNhhsKCKERuaLpJNrw/nwWerhiRNYqzITzo8vO9h+fmun7vji2ZcJH+z+G9SLjH8050/lS++8EVXKAHhQ3ob5bGXVS+L/UX2OdJ6xEVpoGZGjRMjozEc1enqkaOHj8qRliPumVQ2F9Xx7K0DiBxKZhPZYc0ORQn4GQGE2CpmD9qJ6qlS8ejjMq6nRwaXLHbRoHQ4veZ02X10t9uD5nDfYTnSd8RFEsMM/ZV+i9FEf9X+i3FL1TaiPdmKKDOGEXHiHBi/EBsYcBrt1lLaGOLA33Bey6ctd+XG93fvl51Hd7o9uPzaeLaYIj+J4Ppj+FPYhvmEuYZ7QGSE+4AxgieWR6HAd0KEA2trwpjulohk+kq+w/dQIY5tQfSnkKJbxshw3y3y4z95J34UjBQaAgMbAx6GA4OCpqFla9BD/FAZh8apgxKTiJ/ih6IEn3/+825zyaqKKrn9nNtTSi0ite2rL31VfrbzZ070sHfP5bMvl/cue697v1yBiEG8AHviJNrTx1VhO3Zceo/2Jt5INGa0AvebdToTp0x0++tMrY+lsMX218m3wgRBM1RfJ5W/e9SJn5Kuo9L3yvSjf2fVniXrO9a79WMY4ghzRFEYYTIhYustb8x4gUcV0ZPtnHoiPowhwDmoQU17xgDHuGNMoa3z7E3tYbPTPxz4g6sAyfV/TeNrfEl/K3bxo3CN+f7MNRzrXMN4TztCFDEXMdbnOzgCEHd8z7lz5+bVd0qmr+QzfD9sDRw1iDzGLb6XUfiY+AmGvBU/wIDAxITgYNBmItJBD8OGgTAbOdp8hkZ/1JjyU/xQ0pY0NaDKViqLmymQwDohFqcjfKjUddPKm5z4yXRD1ExB+BCtYWKqnR2tnofYQeh4NxKl1LSms3GNFUphu/U6VZOkqq7KiadJ1ZNcVKeQ1+v4RuT6jIsIyPIX10tJ80EZOPtMGapJb28l2tLq2tVu413WpLER5/yq+aEqgIDAwMBjbY/2U4QO5fVJZeKYMSWbeKM+jGVa3ckLxjWGDoY345wa3vy+akKVNIxvkMcOPuY2KG4/3i7nN5wf+5fpY+LnVBhLdK4BnWt4pj1xXxDQ+TrmkOKnjkPaYL4a1qP1lXyP0mFn0N704d1v0ChcTPwEQ16LHwWRQZieyQnRwaCHUcFaHIQQA1+Qg4Sm4OlDf/ZD/LCPiqa7kdd/3cLr3PFYUNTgh9t/KP+y/l+kq6/LCR92iaea25xJc2J/lTtIW6OsNGlqpeWlbr0OUR3EjkthO/7yFDbS1CZOniiTp012G4oieEhnG05hs8hOygzNnC7jf/07Vjo7MdR/9urYK6lD6evTp50ufzz4R7cQ/9nWZ+XMujOlpjK6J1auYOJAYGDQMzYAQgfBg/DJVnpbIqhiqVEfvO2MHYlg/GLi47swxiHemBRhacNS2Xdsn0s93NG1QxZNXSSzJ812r6WLiZ/EMKZjXCOCuAeM84ggjG3EA+KH+SZX7SkdmCuJhPI9aGekfebT+cczWl/J9zQ4xi3ENveK72bGcOFj4icYCkL8KNo4MCAIdzNA0GiYlHgO0jPHoKTRHz6L50zFD+lqmu5WN75ObjvntqRSWljTQ7Tn0eZHpW+oT05E/nvTwjfJmxe+WSaUZbYnSSZoChvCp21fmytUQMED7snLojqR32lUh9Q1jeyQwkZUp9jX6/jFiYjhX7p7j5Tu2SdlkcfxP7880pHSL+VMGiVryRBAlGR+puUZVwFuYln2i5Fg9LCGgQIkGKlAu2JNDQZero1UxgmN+uDFHWus4FzV2xuf2nPh3Avl1/t/7ZwcGzs2Zpz+ZuJndBjbdfNPBLWKIIQsDwT1SEI2bHgLCJF2Sb/Id0brK4jXoOyAoOH7MG4gfHjG7shGdouRO0z8BENBiR9g0GPwZqEqx/HrgfhdEJ5eBiUmQB58Ju/P7zIRP/+y4V+cIQMfOeMj0jS5yR2PBmlHn1vzOecJRvjMmjxLPrzyw3Ju/bkpF0jIlJFS2BA/rNcBl55WWuLETOX46HodihJQclqjOhQtyNfJKi+I9AcKH8hgRIBOnCgDy06LvZAelEtn76nn2553EUgqFF48/eKslsAm7RVvNoYo/Z/+yJhABSvv7v65BKOTsQIQY8kay4xvGN0YcpraQ5+aXztfnm5/2qW/4fBYVbsq9i9Sx8RPcjDGcy+YU7iXRFG4J8w1PHPtwtDWRoJzZkNToF+EaUNTP0jUVzAm+X2+psHRpnS9okZ/wtzGjMww8RMMBSd+FIxlBnPSExAk7NegnjkWDeK58zvHn8iSRpl4MCGmK37YgJR9eDBi8Jy/ccEbY68khgXPX3zxi/IfW/9DjvUfc3v3XDrrUnn/8ve7vViCJn5vHdbzdB1OkMIWeerv7XfXneIENTNrpLqh2kV12N9HxY4N5tnD7fnz6BMy7ugxKW0+FI3+ZCg2F1YtdJHLbZ3bXNrlge4DcsnMS2KvBgfGJ5EejHeMA6BfInqYOMIiohmP2NAUOC+EWSowfjG28T6Mb3zXqoEq5+DYcXyHK2l/QcMFUl2Z3houEz+pwVzCPeS+YGgz1yAsMFx4jUcYIfJIGwLKQ+dLtCoVEvUV7gvkYxocYxgPLX7A+VsfLVxM/ARDwYofRQc+BjkmJfXM6XogBg3+xg94H96f9+aZnxMtYB4L0oXueP4OV+UND/onz/zkqGlDlLu99Zlb3SJz0l742xuW3iBXz706sKIGGtUhkhNfhW20FDY4Me6ElFWUSd3sOhfpCYtBWsyUdPe4PX/G0UeWL5Wh6ZmXuV1Zs9KtQWnuaXblmKkymEk0YixwPBDt0WgKXvmZM2e6R9iMOgovYIzR9tOtrIXRg1eb76apPTNKZ0SUlciBoQPy0pGXnAMknTHAxE/qcD+YZ7gntEEMFgxtvPQY3TjjwjTW0Wb0PnPO7GtVqCTqK/mcBodjFaOY9kVbC5Njx/AXEz/BUPDiR6Hh4Jlj8FPPHA2KxYMIFSYtPwYPwulMKLwnDwyvVD1L3970bXnq0FPu+F1L3uWqaI0Ee/d86cUvuSpPCJ+l1UvlY6s/5jzvfpIohY2oDoUK4sUOKWzjJ413xQm8KWwUJCAaBER9WMdjhIOh+loZ/78PswFO5IdI33jFObFX0ocoxNl1Z7t1P539nS4awZqg06ZmllYXD/0Y0UPFKo32aIpbGD27XqOTyDBrEzJBU3uIao87MU7GR/6bOjhVdh3fJX3j+tIqOW7iJ30QshgpGKjMNbRJxA/inHmI34cBLW3N+dJXisF49vYV5mfGDozLfEuDY0zDuYOjlbmXNpavFfqM0THxEwxFI36AAYNBDsOIgY8JiYEDzwkTE8eZGktMIAysTHpAukMqxgPFCr687ssu+kNJ6/eueG/CtTrk9X/h+S/Ig7sfdClveNWpBHf9addnXNQg6RS2GMNV2KonD6ew6Uai3hQ2okP8e6idWev+nREOTkyaKOXrN0nJoRYpbT6YceEDhUX3iPenW552JbBfaH9Blk1bJjMm+LO2AOcFwkdTd+jfRFLo42ETPcAYw/mq0UmqkR9GpxrcXIfywXKXcjhz3EzZ3LFZzms8TypKUzPsTPxkjqbCMdcwx3DvMVbDEAUiZYpKg0B2AudTLHj7Sj6nwSGiuY+MJXwPMlz4bkZhYeInGIpK/ChMOlqph0GDhsXEhEcW4cIAwsSV7iDIRMf7AAMTHplk027YjJRUIfjE6k9I/YSXpx891vyY3PHcHbKlc4uL9lRXVMvNq252u+qnU9Qg3RQ2jeroRqKj7a2DmOJ9gagQ5aqNcDFUVyOVv/8jC2fcBqiDC+fHXskM0jAXT10sjx963JXAJhJ00YyL3J5T6UK/2rVr13DZV/oqVdy8m4SGETY0JQ0KiAr7KSy4BoxpfH8ismw4O23cNGk+3CyLGhalZGyb+PEH7gnjP9eQ+UWjQLmMNtBfWOtDHyJ6kO+lrdNB+4o3EyQf0+A4f8YTzp+2lWkU2QgfJn6CoSjFj8LAT2NC6CBYGDyYEPDOMQjiWUlWtHjBG4NXifdyhkjkGK/MWBMMG5J+d8t33fFlsy9za3a8EA36143/6v6GNCKEz8UzLpYPrvygq7CVLH6ksA1HdZLcW+dw82FX4Y1rQNSHCm9GuBhqqB8ufFByuEOOX/FnsVcyh71+2HvmqZanXLslEnTh9AvTKoGNYwHhQ6UjoI/NmzcvqT6WS5jAvBuappMSmwwY1dNrpsvWg1tlYHBAevoiY1v3kFRPrk7a2Dbx4y9cd28USKMNtAmiLtlst3wuTgOgDRLtKFboKwgG5mzuCfcjl8I0VbBdEG2ct0V/ChMTP8FQ1OJHQeQwMTFoqBeIxqapcAyEqXiCGEgZiJjQeE/ei88YLdcbYXPn2jvlSN8Rty7i02d++pTSwHuP7XVFDTAeKWFNOtHfLfs7eX3T66W8ZGSBFlQKWyoQQeKzgYjRxKnFO9mGnXGR9l7+/ItS0nFE+i86X05U+ZdHPmviLCkdVyrrDq+TnoEeWX94vVzeeHnS0Ur6Ivv2UJoXIxKY7ElzywdDBeHDuACkuwV5zjh2Gmob5JG9j8iUcVOkt79Xynqj+/4kk9pj4sd/uOYaBULAY2wj4JkvmGPScbSlCn2ItT70H9ofkdJsCq8wQl9h/mee5n6oMIV8SINDAGGrAOdu0Z/CwsRPMJj4icEAx0CHMcUAokYKYoiBBRGDeElmIGQyYxBlUEI08X68Dw13JBH1u/2/k1/u/aU7vnb+tXJ2/dnuGB7e97B8/rnPS0tPi/OaN01pkltW3SLLqpfF/uIkw1GdI8fk6OGjgaSwpUpHc4f7bN6P0tZ+va/hP0MNdTL+lw+71LdIo5f+1Stjr/jDadWnOYFPCewj/UfcGrfzG86PvToyRFF37tzporJAf0T01NfX50V7IjWFlDdgjMlGZa3JFZNlQ+8GWduxVqaemCpTK6bKQO+AM7yJNozmITbxExwYMbQB5hjNEMDA4X4EHYVhLlPDftasWaM65IoJ5nVEAwKUSArzpKbBj9VXcg3nTFvigd2RSpq9EX5M/ASDiZ84GOQYBBlASE9gYmIgRNDwwEuEqBkNFT+8F2kFGGwIIAbYRAtLKVhw5/N3ugXhDRMa5MNnfNhFdih1/YW1X5Cf7fyZ+xv27nn9vNfLPyz7B7degqjNYH9E7Bx7eQobUZ2gUthSgXPRCm9Ek4giGeHlRMQYKtu+U0r3HXB7/vS+9kpUcuxVf/CWwN59dLdr16OVwKb/IHwwFAEvOcInX4xyvOyk6TEGMCaQopctwUbVx5/u+6nsHNgpVSeqZNaEWW5MwwhmMh3J+DXxEyzcfwQQcwJGNmBo08aDSoOj/RH14RmRxYamQXxOPqNpcDgr6SfJ9JUwwLlp9Idzpm0ZhYGJn2Aw8TMCeE5oaDxrKJxBBQ8uoohBEiGUCK/4Ia1Ac3L5d4m8Mj/a/iO3BgJuXHGjLKhaINs7t8snnv6EbO/a7qI9iJ33LXufXDDtAuntjAiKWGGCox1Hs5rCliqHDx6ORn1KS6RmRk0gAsvwlxORtlHx+J9kXMQQG5zfJEOzZ8Ve8YdUSmBjhJPmRv8D0lPybTNGNl2l7wPe9qC9+16o/Igj5cnWJ2Vz/2ZZMXWFTI78h1MEUcmYhriJHwtM/GQHvb7MEbRx5g1EEL8baX5JF4xjLbZBkQOMKePlcN0RD/QN7sdYfSUMcM6atoeAtuhP4WDiJxgs/2gUGOQwthYvXuwqSam3FnGzbds2aW5uHl57MBpMNPxbBlF2dVdDDihZ/au9v3LHS6qXyPnTz5f7t90vH3/q49LS3SLdx7tlWeUyuWnWTVJ/pF5a97ZKZ3unS2Pzvg/v7/bOqamSusY6mbVwlsyYP0Oqp1fLxKqJOSkr3d3V7dYbweSpk63IQZ4wsPoMORHzHFb+4TH37DesZ/vIGR+JpmINDch3Nn/HbdaraLQEI5x+Q/sm2oN40H6YD2BsqsGJ4ZQLjyyFU2ZOnClDkf/+8/B/ysxZM4evIQvfd+zYMRxVM7IP7WLRokXOYAWEMvOLRoT8gP7Eejng83gYI0P/wHHJI1/6itdGwTYxDGNkLPKTBIggNVzwrKDCMch0PRBeF+96oOeee05++9vfuteWLVs2nCbHZIb3iL8jKvTkk0/KL1t+KeuOrouo0BJ527y3ydde/Jr8ctcvpbO7U4YGhuTqaVfL1TVXS/lQuftMRaM6RHISprCFwDtF1GdoMJrqw1qfMJyTkQSR+1W6c7eU7t4jpW2H5fiVl/my5088WgL7sUOPuejm482PuxLYE8ZNcMJHjT88XvPnz887g82b7oZRwkaSfnvzk4FIG2KTYilE2uqr6uXcueeOmNqDp/Hee++Vn/3sZ+7nlSv9XfdlvBzaB/MLbYX7wljPfWDs9CNSyJ4+RJQAB8JYqdtGlHxKg6OtMOZwrtgojJcW3ct/LPITDOMig+ypuVLGmBACx4umRRGAQZKI0Fvf+lbndcGLR4Nlwrnvvvvkb/7mb2T79u2ydu1auemmm1wECDEwdGJIptZOlTfc+gZpmdPiFoGfiPzXWNko1864VuZUznHv79brTBwvFRMqnMDJRSQnFYhMEaUColEINCN/KH/qWZl81//njrv/8V1y/LJXueMg+O3+38q/b/53qSipkJmVM+V9M94nZYNRkcBeHBhrTOz5BusrNOrDRpIUZ8glNzxygxzqOeTWFX7toq9J2bgyl1KIMad86lOfkgcffNAZ3Ey2jF8Itv/93/+Viy++OPZXRpAwv1AZUCP7GDz0gXSdR0zxmzZtcoY789SCBQvMEZUi3Iv4vkJWCOumNNoSBrjHmzdvdufL2EmKsJHfEG3EEYiYxQlo+INFftIArxkDH8aBeukQPFdffbVbrHraaadJXV2dC0MzAH3/+993v4PXv/71zpO0atUqWbhwoTTNbXLpYY8+8KhMPnuylE8tl4umXSQ3zL9BGmsanWiorq8OpApbkHQcPFnhjdS7fDhn4yQnIoZ65W8fkXG9vcK+P32XvjL2iv/MnzJfBk4MyEutL0nb0TbZ3b1bzp16rus/FAzJx7aD6NF1MxicpM/k2uBkXdUTB59wqbYcL5229JQKV5/4xCfk4YcflrPPPttNslx7Ug0xqL7yla/IP/zDPyQs2GL4C/ML9wXhiSefbAPuD79Lpy/gOVYRjogKW8QiH6DvevsKcz7picz/ODrDMkZxHjhdOTfS84gm5qPjyDiJRX6CwSzSNGEwpCEianj+wQ9+4J7jjRwGRjxtH/rQh+SGG25wJW5ZQ6SLERmYeI8Z02fIpns3yQdXf1BuPP9GmTl3phM+rOPJtyIBRH14AMUWwh6lMl7OiYpy6bvoFe64bONmKWmOrhcIiiurrpQl5UtcJHTDsQ3yYO+DTvzko4cao4PILmCMhEH4wCUzLpHGSY3u+Be7fuEqSALjFhXoHnroIZfi5k0v5LwRQvzN3//935+SemsEBwII55jeC4xsPMAYQanA/dIS6xhPuq7ISA/6AfdFBSRCaOvWre45LOB4pd96771hGKdikZ8RYODAiGFQY+LBc9bW1ubC3jwzqJD6xjNelv/zf/6PiwYl8qrh+X3ppZfcv2MNEJNQPExyuzbtkts/frv7mcErXyujDUd9Sktk2oxpVuEtTxmaWiWVv/6dOz5RVysDSxa7Yz+hQiHthb2oVk1ZJVt6tkhPeY/sPx4RD5FmQ1nsfIN1PowdQLGTXEVLvFEDoggdhztk1olZUtpTKrNPzJbew73S3d7tIlQ/+clPXNQHx0wiGI/WrVsnr33ta93f82AsZFzkQaqWrodUAx3HThhEX76CcPZWHeOZ68xckWwlL+6NpmqRosVcZGRGfDU4Usw0ska6aK7bPP2OPsi58UDwWuW3/MUiP8FQ9JEfXSBIJRe8tazL2bBhgxMrW7ZscXn7/J4Fo6zpwZDQcLc+6+9GG/SYyPiskVIO+D2DKUUCWva0yIHtB2T/1v1yaHfEyGg+LF1tXdJztEcG+gdi/yKccH7DFd6qrcJbPuPKXNfXueOKPz7hnv0Eo6F1X6tL+wS83be84hZpmNjgCiDcv/V+efLQk+61fIFxgjEBSHnlETRMjIxNOGIYr/BEM34xjjGesX6EtFwm0dpxtTKnfI5MHjdZmo81u0gb8Npo4xevMX554XMZ9xj/+Hy+O2W9d+/e7cZOPQciFoyhjLFcm/j3MUaG607kEG8+cM25noigZOCaA8YvBrvhDxrR5cExzlIcAjg+mMdzDesLtT/TLw3DOJWiivxgbOEJYeLQyI16MJm8mciZXOJTO/h3+mDixqvL3zC4MPDhacHIYEEkecHx8N54Xvk3TECJBBCvM0i96+/fFftNFKql9ff1uzQyxA+bmfJgbx+qwXFOeKJGM1yyyZGWI27PIc6HvYVM/OQ3Jcd6pGz9RinpiNzXc8+SE9P8MaCIDLbuaXVtGyrGV7gS7RMrJsrpNafLYwejFeCebX1Wzqs/T6orw2+4Ydhj/NPP8dJR3Y3xwU8wrBAbjFmMXYw5jBt4nvk9RVhGMr4Yp/D8D5YMykvHXpLmwWaZUztH5tbOdRHpL3/5y86Y4+/iQUCR7kPqLpEHHnxHxh4Ma/5NIlHDtVCRxDjIeXO+PGs0g7EiF1Xw8gmih1wj7jFjPveb6z5aJEcFKSCebL2W/3D9mfPp+7RlbAMcCfw+UYZHtqA/ci70Mfqfrf3JXyzyEwwFX+0NY4AJA8HDBDya1xFDhQmFSYbLwiTD4MFxInGhf0+om30ZrrrqKpcz782r5vNIF6EK3PPPPy8vvPCCnHXWWS97v2effVaWr1wu9//ifmcY8ujv7XdCggfnMhK8F4UQqAJHRTiOc5FqxnkSteJ6UXYb8WPkN6z1mfr+W9xx7xuvkZ43/ZU7zgSig1QCpI3DxCkTXVvxttn1HevlSy9+KWI9i6tOdse5d7i9asIK/ZOIi6a7sc7PjxLFvC/jF84RFTejDdkYODhXML6IpKlA4VnHnMETg/L3j/y9tPa2yqKqRXLX+XdJ6bhSOeOMM5x4W7169SmiDaHC2PWd73xHrrzyylO8yvHomKnPPDhnHqONYZw3ggoD3dJ0RoZ2QGRNryUFDEi3TgRzEnMe9591pX4LceMk3A9vNTj6B/1ktL4SNNx7nLKMF6w1poCJkX9YtbdgKDjxwyDEBIHXi8dIXlAmBAwEnWS5DDpJjySQGMT4N0zQNESOvRMKVd2oiMSExPui1kk7uPzyy+WOO+5w53PZ5Zc5o0+NI4wDjCbO+7G1j0nDzIbYu50Krw8cj6aUITK86WXxcJ4USkAMURobr3o2IOpztCO6l0TD3AYnwoz8p+qWz0jpjl0yuHC+dN6ZWaCYtovwUeNtUtUkmdowNaGBQAns727+rpSXlMtpU0+TO8+7UypKw7lvBeku9G/ItKw14waefcYxPMp6reJB5MQ/GNeSgYIH39r4LXd8+7m3y6qaVc7DuGLFCjdmYSghmPgdUfLrr79ePvKRj7i/Z9xjLRPiKlm846uKIh5810Tw2YyxCCHGWzPcT0KboL3pPEVhEB5eMJYwmiAMZdaLBcQPIkj7bDp9xU8Qyjh+cS4sWbLE+lEeYuInGAoi7Y1JAGOBSZrcciZsJlav0YAYIf+eEDWNCCMBLy0GBh4SnYi9WpB/w+TLv2OxKAYBXjb+vdeTquA5/bu/+zv3uTTWM888U+666y5X6Q3PC8bJgssXyJ6de2TdC+tk7669cqTriJx33nnyne99R0pPlLpNSxOlivFZpeWlTszwN0RWWFODsEFkcN7qSQfE0fHu49Ld2e1S5Ab6Btz7BlV5jfQ8Fq5zHuMnjZfJ0yzFolAoOXwkmvp2uEP6LzpfTlSlVzGKNtm2r821FaB8e1VdVULhA5TA7j/RLxs7Nrr9r3Z27ZRXzQxuv6F00dRZYLxgnBjpO40EBi3vwfhFOi7jkqbXAu+HIcX4QwoT4xEGLeOZ7smTimHTNKVJ/mf3/7jUwp6BHrlk5iVufELg8N4vvviiG0fPOecc+fGPfyx/+7d/O5zaw4PXGB/5N8nA+TPm8veIGdJw+B6MrXwvjDPGcR2zOWZMZlynUAyfzbVI9XsWIlx3riFGLdeEuUadeYruQ8e1wvg2ozc7cA+8aXDp9BU/oV/x+bQTjv2IRhvZhftnaW/+k7eRH04bTysNA0Mh3jvKYM9go50dQ0IHpJGgcTGpMIDx79L11pA6giHDgIe3RdnUsUk+9qePyezIf2s61rhNHa+bfp2cM+UcJ1wQN+UV5VI/pz6ttTIYlUSDeo/2OsGTKIKFUEI8Taya6KsQOnr4qBxpjVa8qW+sdyLNKAy8qW89b32j9F7zWnecCrRLJ3xi/bSqtsqJn2Qg/e2Fthdc1Octi94ib1n4ltgruQfjnCIDwPixaNGipA1NJjTGCcYwTZfzgkGLIYWgYkxKNqqTLER+iACR8va1i792SlohqbrgjSpw77ypPcBkjNjzy7hWh5Q+Eo3rXA8+FydUqiKzkEDc7Ny5czh6pvcK0UjKG3MkYplMBCO7ZKOvJIulP+Y3FvkJhryL/DCwa4SHgYUJQPUbE6GKFrwcvEajQfRw7J1IeV2jOkwYTBB4Iv0wNBBlnCefoVV64AdbfyDbu7bLocFDMrFyoqu0dFH1RVJbUetK/pISxDPnyYamqU7srJkoqyhz/5bICxGYsvIyJ6z0uyOQKJ5AaWE+D/ibTI2I9uZ2d+5EojBqi9koKTROTJ4sFc8854oelHT3yPHLXx17JTmIOnpT3abWTU1a+MBZdWfJi4dflMPHD8v6w+tlfNl4WVa9LPZq7mBMIa2E8QeDgr1ycHiMBtcAwUT1NR6MT14nBQ4bxgxSlTCUGI8Yz4IwWBA7D+15yK0BOhH575z6c2KvRKNZwITLA+jTiDG+I+fN92acY7zjb/wQZ4yZjL+My0TLcUbxuRoV4jO57ghG0vP4HaKTf1dscL25Tlx/rg/3BJjveAAFLPwWzcbYZKOvJAufxZhDX2F8yUUEykgfi/wEQ16IHzotQgdPCpMyAzu/0wedWwUQjQTvIc/6O2AQYjDCE4bYIbWD1AsGIhqVn8Z6IvHT2dcpX3npK87QWFGzQg73HZahkiG5Yt4VMnXcVHeuiAe3lqenz01mRGcygcgOa39Ij2NROeeD+NG0I4xSV0EuIoT4bMRTOtEgoky8B5DGVFFpUZ9CI93UN4Q3ER818KdNnyaTqk9uopkMZSVlcmbdmfL4wcfdxpwvHX5Jzqg5Q+on5G4dA9/H63WfO3fusEhIBJ5Xb1quN9KDsc84gdhhbMKBM5aI8oMp5VNcSuGB7gOy5+ge+Yu5f+Gi0ZBI/CicbzZSexiTGZv5LK6PRvH5PMZ9xkzOgbQ4okSAUPRzLA87jOlcH1LguCZcB+YfxDL3zdb65JZs9ZXRoA/xmbQPPt8M6PzCxE8whFr8YCAwsZFWgucCj58KGx5Mcok8fvyegYVBR6ucYFTwM4MRA0+QE2Qi8fM/e/5Hnm151h3/2aw/cwYcQuivFv6VNNQ2uOgLwmewP+rhZL1OX3efi+L4US6a96AAAoYnz+Mi//FZTnRFHqQlsT4I4cW5lJSVJH2NdFNThBNefdvUtPAYqp0m4x/6dfS4ZpoMLDvNHY8GIpuID+0aqOjGWrV0GF86XhZWLZQnDj3h+s0fD/7RLdKvG38yspot6C+MSepdJ0oz0qSEMUqZaMQEAoi+DRineO2JOPPvMexz4aGfVD5JHjnwiAycGHDXksISMJr4Ac4V5xHGFGMd1wQDnHFZozV+o0KIMZ1xHPg8Pptnxl2iQfzM3yaaGwoRvidtievPHMn9gDlz5uRsob1xklz0FS+8P+MOESg+k2hyNpwrhj+Y+AmGUCZ/YiSQTsImeVqthI7L7xk4GNDVO0rHVi8XAoecyKVLl7rcewwLBp0wdPRf740ajsunLZeJpRPd94Dqimg5aKI805umS83MmuEUF8RI87Zm6WzrHI7W+AHRoOrp1TJ9XsRomz7tlGpwpMS17G2Rlt0t7vOJCI0Goul473F3TOUuP4SaET6GZkx3m55CxZ+ecc+jQXtt2992UvjUpy98FAzzf1z2jy5dtHegV76w9gsuopptiN5gaIMu3PdC32bCItee6JCKJGDcIhWJMYqF6BrNyBXn1p/rSonDr/dFx6hkYZzybvQIROiD3uiRMR8RhHHPmkrGff18InIIt82bN7v7pEKg0GGOo4KoRhS5DkHeAyM1ctVXFDJevJ9rGMVOKCI/eCUwEPDasbgLryqCh0GB1+i0qF6iOQzyHOuiV7ympLB5q7BpJ88V8ZGfNa1r3MJi+NslfyvN3c2yoWODlJaUyjXzrnG/ByImrNOZMGmC9HRFvcRsZIoByc8IC9b0+OUp4vMogIBRyufyvhoNwnglnY3d993fVSSOlnW2drqNKnmtZlaNb+dmhI9kU98QzAgfLcVOcQO/qv/NmjhLBiP/bTi8waXAbTqySS6YfsFwulbQYFgTjQaiD6S76XhDf2UM04InatQwDjA+YfiQhsS/C1M/6Rvsk7Xta92aKtZXEQEaK/LjJT61By8l4o/fMx4HCdee8yMaxGfx+XrdcZZxP4iG4DDLRWQtm3D9mXv4/lwLHIY82xqP8JCrvkI/QRhjl9AfcNoUS2Q037HITzDkRPyo2OGmMsliLLCeh4lKPVfAZMWgQEfVBbBEc/D08bM3+hMm4sXP/Vvvl51Hd7rUnQ+s+IDbvX5b5zaZWjFVrmy8MvavToLAoSIbqW9cK1LKED6IEVLhyirLfC9ZzfshgBBCDJSsB0IEYcg6EdT5chGEQOo41OGOWVPEwyhckkl9o81Q/IIIIkyZNsWJHz+h2AEbdFL6uv14uzT3NMvFMy6OvRocjE8UKQCMaaLM9HH6qKbn4rTR9U2MTfR/IhQYPGE1vil88F+7/ssVPaD0NWIyFfED8ak9XBPGd2CcDnqM5v2ZK9QJppEP2iPGnoogDIgwZAIEAW0TIwmxo4YtcxHXP0jD2kiNXPUV2gX9gD5B+0imXxu5x8RPMGRF/HDjMAroeOw/wMSKZ5SBWYUCAwDQ8emURHPwquItZULDeGByywdvhVf8TKieIF996asup/7KOVfKKxpeIX848AfZdXSXVFdWy2WzLov9q1Nh3Q2lr11UhfU5rKmJvB+TOkKEiBAiyO80MwQOaXGIIAQRUSfuDQPmKZGgynI51nHMCTQgjc5vQWaEi1OqvpHueNnL99w5cuiIK6IBpEFW1Y+8j89osLHptMppLi10UlmkLY4rlb6hk46RVbWr3Lq5tuNtsv/YfhmK/EcRhKDAi46TRg0HKrthxDCmsaaH8U3HMIQREWnGLnL6cx2JHosJZRPceETRg5beFrlq7lXS0Ro1xpIVP8B9ZpxGXGiFK55xdBGpz9Z1wEjAuMRQYLzEoaYiiHmH53yZS5KF76TCnOgiDkLaJN+b+cg8/eEiF32F+89nYI/RXnAmByW0DP8w8RMMvvcwDAA6GJWNMBY2bdrkHpoKQqdTjwd/x+TEAIBXAsGzevVqt1ko+fBMumE3HMbi9/t/79Jz4M8b/9w9s06BwW5KWeK0IQUB4kRIRAQRDQKEEBzrjFzj3S3S1dY15rqcdEDgUByhoanBLVTX+4AII9rjPrs9uu6BNUPedUNG4dJ/9mr3XLprt4w7dnItC5ACSbsEIpdTG6amNbkSId3RtUOuePAKqfhWhUz/3nT57LOflQmlE4bbP2LoA6d/QOrH17toxY+2/Uge3vewe81vMEjIzWds4/vglOF3W7ZscRFrJiZgHGPcYr2hN8c+H/jzOdGx6djAMZemmwlM0AsXLhxOt2Kc37p1q3vOJohTBOjixYvd/dC2SPEc7h1zEnNRIcB3Yk7hO2LUMncSceRn5tjt27cXzHctJLLdV9R4pi0whhlGsZJx5AeDgE6kKWx4nxA5dF5vRAcYiHlgLGAY0OHxkjJYs1iT57CmhqSCN/Lzn63/KW29bS61hA0aS8aVyI+3/1iO9B2R+VXz3YLj0aAyG/vxsBYHu4+IC6lniBDnzew57qIxRF14zW+4XwgbymUjiNxeRJHPJS2OqA/HumbIKHxOTJoolb/+HSuqZWj2LBmcN9f9HiGsYph2yPqvdIx/RA3OgQt/fqFsObLFFTfoHuiWJw4+4db3vG3x24adCYgkSmA/1fKU9Az0uHUrp0873dcS2KwbUeEDpLHRv1tbW51RCYgeHDcY2kQU6DP5BiIS8ci1PtZ/TE4vP939PpXIj5dcp8F5YRzWNaJuzDweHbc4LyJ3vM48lI/3DfguCDmusX5P4DsBczGv8cw9ydfvWahks6/QJjT1jc9h+YARbizyEwwpWyfcBMSNRnXWr1/vihQgfHSQVTB+mDgJwWMcMMnQ6biJGAykhJA3j4eKnwsNDImtR7a640tnXeoMO6BULySzSJuBr2ZGzXBkBfGBCKlrrBsWOwgh1llQVlg3LvUbPpONKakQxzNpd8Az6W9Eg4KIQBnhgopvJyITNZS9tNE9k+amwgcRXjurNu2ox+TyyXL3C3dLV3+XvHXRW6X/hn75rz//L/caRUMQPF5YnH/jihvd51EB7rZnb5O9x/bGXs0M0qWo1obI0XGLtT2IH+AzGdvyMdITD2MTKbmw7vC6U1IM04XrgSDkodeGecK7P1I2YY5hzSieduYeYL6iKhyRoHz1hNMe9XriQPRC+1SDCSHPujTashEustVXsCe0jXjbjWEUG6PO1uotGimFLb7jMLkw0NKBSTWgnCvCBk8ba3007I73gd8jfNLxKuYLbB6oQoe9fRQiQSwurhlfE/vN6CA8MChVALH2pqezxwkgl5IWW/fjylTvaXFCxM/S2F74LCI9WnTBrfMZJ26T04O7Dg6vATIKFy10UP70szIQET5O+EYMKtpG3ey6jNZ+VZZWyi/3/tIdf/bsz7oKZBdOv1BO/MMJGfj7Aden4mH/H0pg09dwOFACW6ND6cLYhlMH4cO4xVioa0cwIBjnGOMwLnHqFAKXzY6uP+Q6dhyPep79gGuVKLVHRWS2Yf5hzRbzjzrduN+khjG3aUQvX9Dqg4jzRPMp87F6+LnmGNVGOMlGX+EzGMMYy7DjDKMYOUX8qNhhcGTi37hxo3tGuMSLHbwTDLR4PBlc2W+BB8d0LiYY8pDpuN58ZIwFOncxhFtZPAwLqhYM76VBSo8Koqry5KtgYVjWzq51KW/A2orOls7h/YEQJDqgqRDBG8/PfkPZbSDyVDenbviciEC17muVw82HT4kAGoVF//Il7nmIiOPWPU5oO0Ewfdrw2rR0IQLBwntgXx8KhRwfPO5ETyLho5xdd7b8VdNfufU/Ozt3yq3P3OpKOKeDGsI4bUhDQfyowGFcw2hmnCu0aPWiqkWuyARQTc9PuG6kNjM3AAKDdELWTOVqrGD+Ou2009wm2OptZ57TOSsfoH1qxEqN2kTQXknJBJyZmlZlhI+g+wrjlkY+1TYzjGKjJJ0UNiZ/ojo8k0ZAJ/UaAhgPdFbeV6M9iB31lOpEU8jgee7qi3prrph9hXuGzv7opowMOBPLUysNzXVDbGgECAFEdS0iQ0SAKE4wfmLUY4RByuaoh3Yd8j0ac7TjqHumIh3iq35u/SkRKNYgHdxxcLjql1FY9F30CjlRVib7zr9QhtqjRhSpkH6t+2KdTzq8bt7rXMnr/hP9srFjo/zbpn8bdjQkC9EdhA8GJWMgxiReWPoeYx1GCXn4hcprGl/jnil8MDDk7wJ5riFGOFF/FZNELZhzdJ7INtxf0oCYm9QgZP4iPYyH1+EXRryORdaNjATXnkIdet1J9SMNzggnQfcVbSs4eI4ejc7nhlFMlKSSwobYQbwgguiciWAwJn9aw7R0XDowD8LyxUJ7b3vsKFqWVyGNR6GMb6pw3b0pcE4AtUS9lIgRokOkHnEMlKomGtO2r80VKcgUNq4kwgNsXMmky4PIExEoNYARzu0H2qXjoK0FKjROTJkirRdfLL219VJypNPt7+TXJqaIldmTZrtjIkBEgipKK1zBEB5j8c4l73QRDAz3h/Y8JN/d/N3YK2OjER/GMDzqjFd4YRnvGAOJcqshUqhouXDScg/3BZMSgyOMdVKa2oMRTrQll2tumO9IhWO+03tMO+C8EMFhBNHDOYKWTR4NXm9qanLjNeMzDspciU4jOYLqK959xyiJbhjFhlMwGNRjpbCNJHYUBlOEFHteaMRIoz3FkOIWjxoOS6qXSOOkRncMpOUAxkVlSbQaT6q4FLiIAGI/HiDNzYmMWPiaCnFEgdhcUqMxvd29cmj3oeh6IE9EL1W6j5wcdCln7EXPi/Qn/VxXkntPiy/CywgHRBLblkergVW2tEhNZVQA+wEpbpfPvtwdU7yAggYvtL0g474Z+YzIY/qE6e61kUAsUQCB9C362k93/jSpEtgIH6LfpAORZsKYR4SHaA9G8ViGZaGwfNpyd82BtYlBwfXUCp+AEa5ZB7mE+Q5jU6NAtAXOi5SjsKUHIcp0U3CM2WSgTZPmB1xz5msj3ATRVxivtc14N2Y2jGKhZKwUtmTAG7Ft2zYXQWKC8EZ7CqF0dapQKpaF13BO3TnuWSHyg/CBqRXpi8JhATQ+JoAiIsMrgBjcXHW2ROuBdhx0qWmpQgRHU9mI8KjAiYdUuIa5J1Pw2KgVAcRnG/kN1QSJ6A1NrZJxgwMy68nHpGLN2tirmUO61c2rbnYbb35707el9F9L5dL/vtS9tnjqYreZ6VjQrz56xkdd8QQiQPe9dJ9s6tgUe/XlMH6R8ku0mj5CxEdTobz7wxQD3qpvjGPqrAkCHGoY4ohL5gyuva43zWVEgvkvPgqkKUcqNsKArtvhHClxnSy0aeZ5IOWJNb1GuAmir6hTGuFj0R+j2CgZLYUtGagZr4uDgUGYRaTFGO1RtnZuHRY4K2tWumfFiZ+YQJlantk1Yq0P+6loBAhB076//ZQ0MwQK63Hq59QPp8oR+aEoQeueVpfGlixUmdOoEalOo+FKHs+uddEnjEf+HVEnBFpQleiMYKHdauRwaPJkmbX2OamICIbypzPbFNMLYmXGhBny8NUPy3kN5zljfFLZJHnjgjfKQ1c9dEo66WiQIvfuZe92/RADngpwh3pe7inF+Fu3bt1wGgnpJXhZWR9RjI4bYK8kGIz8N5po9AuiLERbdEE+EQ1v6nSu0CiQnhdtBCdfrs8LMHg15Y25NtU5HEPaWwBB38sIN372FWw/Taez+28UG2mrHgwhFk3y4BgDl/VA3kWVxYruM1JeWu7S3rywfwmwXwmvZ4pGgDTKQnob63viBQaV2RBA/K1OlMd7Y6WxI4JE1/GMhkZu+Pek1iUD0af6xvrhNUhEqILcj8gIjq62rmGxXFVXJRW1UfFetnEz7kN37Ac9gz2u0tsfX/dHV966611d8t0/+65MKZ+SUgGD1bWr5e2L3+7ED8Ln889//pQS2GzI/NJLLw17TnHckO6L0VtM0Z54VtetlnHUr4/g155JY6GpPRqR0ApXeLfVWZQL9LzY3BbCcl546vXz03E0MoYzV+tcwDyey2ibkTx+9hVNffOmUBpGMZCW+CE/nnArUR+gM1K+GvFTzEYDYFwd6o16mPFg47n2QrU3vNGTy/1ZIA4aAdJoDKKG9T0UO4iHdDU2Kq2qqRqe+BAkVIU7evjoiIMn4kgN3wlTJoyY8paI8vFR4aXFEEiDowiDVYPLH1jno1X+iCBOrp4sA8uXup/HHeuWsp3R8tR+wSablFumvHVzd7OLmKZauQ3YXJgKZgigbZ3b5K61d7n32b17t9tAUCOZ06dPl+XLlxd0JbdkIdKmxVh2dO1I67qnA3MHqWZeB1oY0uA4Lzbp9lbe4ryoBpertRKa8obnPt02y7zN9wK+B30il4LOSB6/+ooKZ+67lT83iomUxQ/58VoKFug83k25ip3n254fLhFbO/7U3baBPHoGmknl/m7uymA4bcY0t74HECstu1vcxqfxIFym1E5xRRG0aAFG4JHWI04EsY9P/CTYe7R3+Hes6UkVjVARCeJciUyxdoS9iIxwQ1tqb25395/7WDOzxgnu/pXLY38Ri/6ElLcueqtLP0UAPdXylPzzH/7ZFWfh+9AWqYCFJ1WdAYZIdWVU/LAGa+uRre44W+CNjk83C0PVNeY62onOdURfMDY15TtbMAd751/acLqw/kejWrynbphq5AeZ9hUKu+i/tdQ3o5hIabbHM8Bgr2WxWRTc2NhYtLnxiXi8+XH3TNrItIpoWNoLxgRMLA3Gw8z6Hu86G1LgRio0wLocDNm6xrrhwglEizB02/a2nZKaplEa/g0pdOnCuXlT79iLyFuowQgX3Be3aW0sjbK6vtq1ARic3yRD9VHDqWzTFvccVqgA1zix0Rmsv2n+jTxz9BnXBklzo9CLcSqkGCqPNj8aO8oe8ak9eLOZe/Bu5xLdgFL3SaEkOuuAsrlXind9Rzopb/EQ9VRBx/XNtpgzMiPTvqL/jvtuqW9GsZC0+GltbXXeUgxqjAZSAFg0mYnXqRBZ0xZd/I3xUFbyclFIKg9pb4mEkV8QXUEEcW8wXl2hgchjJIFBwYTaxlr3b9Sw1dQ5hElfT9/JlLfJEzK+56wXIg1OP4u0u/hCDUY4IBVSo4dEFUl59DKwYpl7Ltvg77ofvxnXP06urbhWJkb+ox/8rONnUjKnZHjiN06FNYlain9tu3/V/FKBcYbUHq1wBemk9vgN8x9OP0QDMCey5oJqp9lAxQ8eez/2zuM6M5/zvfgu3u0qjPwgk76CgFZnpEX+jGJhTPHDIIjoYXEwRgMdiw7mh8ep0NjVtUs6+6IlI72eUy+6yammlQQFqWkuwhJbm0P0J1EhBIXBUzcqZT2HChyESfPOZrdPD/df0+oypayizJXD1kp1w4UabNINDUQBET+AUJ1a9/I+P7Aitu6no0NKm3PrlR8J2v6+Lftk8onJ8o76d0hleaVUTKyQezfd69YUGYnRUvzecS0XaIUrjU6Q0pPrTVGhvr7epUxiODI2Mk8GHZnCO0/aG6RS3nosiGjp+h/eH2enkX+k01ew6TT1jeyekZykhlFIjCp+MERZBKkeLS1sYIuCE7Pu8LrYkUhVReJN5yiIQOSHPUiCxkVYPJXW8OATzRmtvDVrOabWT3XrgSiggAga7B90RQoG+yLPPlZp03VAGk0g2mQCKDy4dLfYvaiZEV3nE09/TPxA2ZZtsaPwQMTz4M6Dw6J/Sd0Sef9Z75fBcYPScbzDbaSaS8M+zHjHsBfbX4wd5QZN7WGNCoQlDQ4Bwh55Xm87j6AMSO9+LMlubJosXFvKHwPlr1VkGflFOn1FndkUvrD7bhQDI4ofLZ+oucwMingU/AizFyprWqMpb+Ul5a5iUjwa9YGRxJHfEGEhxUwjLCxeR2BQ1GA0EEwUUGCNh07kGL+sB6JUdaJKcungKtVFDGtS9QBhRtGFZEpvG8FBxEdFMtG+igmJ+z1rfoZqo5NsxWN/cs9hgBRKyri37W9z7detwZs+TabPny6vmPEKecO8N7gCCPuO7ZPbn7td+gYt1z2eqvKqyAQRnSKea3vOPecSIiysz9IULe4rBh3zVK6qrgFec4xNnRs5J90Cwm805Y1ITRBFhkjn02vLdzBHVH6Sal9BSGu2h214ahQDCcUPnYMysFoxBK8A4X31bhmJWX94vXtmg8WScS+/tFrsgIEokTgKChdhme2ptBaZ0BAxbh3QGOtsECFEkMoryqW0PHr/XQQpIlA6Wzt9W6dDIQQt1OAq1UUMV78ElpEaREm6DkeNrJHS3bxoyeuy9RtlXF/u92+i3RzcddDtSwRM/hT1cFXqYhP86+a9Ti5ouMAJoI0dG+U7m7/jfm+chDWLDRMa3PGmI8FvdposzEdEWzRVB0GwefPmnFarQoxwTjwD2RJ+iwcKDalXPqi0c6IG3vS3bK1jMoIh2b5C0SrN6OG1IIS7YYSJl1noKnx0kCWHlIV0GBDGyBDVUXFTP77ePcejkR/S3rIV+VEw+uIrrbEWYqw0uJ5j0XZAatrMBTNlyrSogGJwxEBu3tE8YjW5VPEWalAB1N9rm6Fmm8MHT1Z3GyndzcvA0sXRg74+Kd2+I3qcI2iLB3cclO4j3a6fIfzr59a7TVnjuWHZDbKwaqETQP+9+7/l/m33x14xlBkTo4bwwe6DoYqOabRFU3uYt9h358CBAzmLVmi6kRqaCAc87X6dj9co9TvlzYs3/e3gwch9twpgeU2yfUUFtVdkG0ahcoqiiRc+lPP07gJtjIx3vU/d+Gj533g6+jqcQQa6iWC2IYrDeh4tV42XnNSgRGlwvKZrfMZPHO8MSYxI1hFpGh2DJxEkhApV4TKFQg1EGhBAGOCt+1tNAGWR7q5u6T3W644nVY2c7uZlYOlpsSOJVn3LAUQgaYesU2JDVvoZ0coZ82a4Ah6JYAPiD678oHNWsDfX/Vvvl8eaH4u9aoBGflirGKboDzBGkNrjdc5RrYr1DbodQ7bRgkAqHsie8EsAaToS6XVBpLx50fQ3zlv3xDLyl2T6CuvX+DvwllM3jEJkWNUwyHmFDyVgLeKTPLreB4NKvaXxeD2nrAvKFaQysQ5IoziIDNLgMBy9aWzHj53c76Fy0skCDeXjy10aEVEkDEwgetSyt8W9R6bpapOqJw1HgFQAjRadMvyBe9/ZEjWw6PdV9cl5lwfnNsqJWOWpXOz3QyVCxDcb5joBHpm/EeduE9+40tzxUJXxQys/5AqQEAG6d929srUzu5t6hpm5k+bGjk518IQJ5qrFixcPCwLmMCpc5cqAQwCRJq7V2FQAZSIgcEzq3OxnlbeRIIqlm59y/rb7f2EwWl/hnmvU0tb9GIWOUzYIH8KgOrjitbI9fFJj77G97nnR1EVSUZLYW07am06AU8uDydlOFu4tURyKGqjAxevvTYPjZ0DgVIx/+XcaP2m8E1FVNVXDJbXde+w65NZbZLIeyEWA6qPXyImzA+22BihgjrQecUYWID5TcXwMnB7b72djdvf7oTADwod1aLTbkrKS6L5Vs2td+0wG1ui9//T3u2NSV29fc/spxUmKGUryT6uM7oW092h0jAsj8RWuaMcIDtK2chG1oO+w2NwbAcqkCALG6PDcEdB6n3gQP1xXYKsLHRuM/Ga0vqLplJRUZwNfwyhUShhQ2dRMvWQM1rp3gZEcRHR2dEXXOjROanTPiegejIqJitIKKS/NXeTHC5uWUgGLZ0BgYEySQqQiaPzkkY1I1oNMqZ3i9gfS0ti0qc72TrfofKyqcqNBlTGEFe/JGiCqzFkVuGAgetLdGW2fiIexIibxDCyJrvsZd6xbynbuccdBou0UwUYpV9IzSeXkgaDX9pwsy6uXy9sXv92lv7X1tsndL9xtFeBi6JgWtrS3eJizNLVHi/NQsnn79u05SYPjfEgb964BQgClg3rivd75oOH8uZZu/I0YyLb3T+EwUl9pb28fFtmW+mYUMiWofR1YTfikx6HeQ8OG0unTTnfPiXCRn8h/lJANE9xvKmG5KFAsgkPkhrUTRF2S8aDz7/j3pMN5y2qTTqee+XRAWGm1Md7v8IFTU/MMf3CV/yKTHoaORtxSwbvup3RLsGljLtqzu8WJc855aGDIRSZJ56RAA1HDdLh01qVy2ezLXPrbC20vuBS4wRMmtk+viY5ph3oO5UVEjNQe70aPmtqj1UuzCYYl1ba0khYCKNVd9MnM0HP3rsvIBhQ80kgT4seiAYVFfF+huAX9BbFr4scoZErUm4NHyYobpMemjpMe0dEiP5r2lqtiB2NB5IYIDmKHCZdzpdgA0ZtkBQdGKAIIIaQeJYxUojYdBzvSitywBoj1ScBGqKTAmQDyD+6vilOKA2gxjFQYmDdHIjOoOy5fH0yEgLao0R7aJ3v3YAiylxURSPakSjViFc/fLP4bVwK7b6hPHml+RH6w9QexV4qX+VPmx45OpveGHU3tUcMdY043elTPdrZgTsWpqGWwqbKVSllu9tqjvUO2Ut681NfXu+/AdePcjcIivq9wr7u7u906L6v0ZxQqTulgpFKhRo1VIzX2de9zz+NLx59iKMSjpbAnlqXnmc4GRHAoZMCePhiW/Hy046hLYdO0qGRwQmre9OHKbXCs89jJ9UApGiBEgKg4B73dvS5SYWSOK3LQFo380v91s9mUifzbgYXRtl+6Y5d79gsMPwppUFBDUzErx1dKWWWZOwYq002c6k+/+tslfyuzJ892EaAHtj8gD+97OPZKcbJk6pLY0amOnrCDEce6G93oERA/FPbJdhocfYvz0DmWCmoYmMmgHnj+bbZS3rwg2nR9CBEo3fjcKBy8fQUxBKz72bZtW84qJxpGkJRgmHq9UkbqbO/c7p6nT5zu1vOMhKa9Ta3IvvcuFfCw0y4oi60pRC7l7ODhlNbd4I2fPG1ytOpWbA0GhizrgRBBqYgpzofUPC28QGEFv/YXKma4hlpIAoE51p4+o6GbnZa0H/Zts1PayKGdkbYSud8IZibpadOnScXEiuEy7KRZkqqnIjtTqPz2odM/5NJTEUD3vXSfPN3ydOzV4oOCB7ops65tzCfwaOPZVqMOAz4X1eBILdLsCsbB3bt3J+VZ10JEpM6piMs2RH9UuKW7bskIP/QVqsFpO8tVXzGMoClB6Ws+spEeu4/uds9eD2ki2OcHplaGW/zoxqZAClvd7Dq3ngJIj0K4dLZ2uvVAyVBWXuaES8OchmHxgsGtYirZfXwwzL3ltY+0HHHrkoz0IOpDVA+4R+mulVH6V8TaP5udZrjuhwgPKW60Ea0yReQPIQ2s+wEiQLSJTERbItir68MrP+yE0PHB43LPC/fIge7iTflZUh29t2EvejASCA+MulxXg2NdLQvNEeoU6kAAaUpbIrxVt3I5TyN8ZsyIbuGAYEslbc/IL2hn3GucBbTRXPUVwwiSkiB3ii4G2PyvtTe6bmr2pNnueSQoiuA2XxyX+pqKbKKCAsOStDciQKwFIiWKSZvJuutwlxNBqVRz0/2B8NyfIqb2HHLrgZIRUy4tb3at80wxEFNQIZ11REZUQOi1q6qNVtXLhMGFC2JHkXu9Ib39fmgDtAVEsaa4YXghnmtm1bjzRfQOR4FmTvNd+ChNU5rkvcvfKwMnBqSzv1NufebWoi2B3TS5yT1TCY8xLx+hvcRv9JiLanBsHk4kBRA2o62j8Xrcc7HexwvnrdEzDOHRRJuR39DWcBiQEaSCJ5eVEw3Db3ITQy8gdnWdXN+woOqk8ReP12iqqgiv4CQaoOlE3t39MTAxkL0pbHiEtJpb77HkDCIMbCIMiClKWQ+H1zuPuXVFyewPhHDyboJqBRBSB8Pl6JFY9GRC5ajlzJPlREQsn4gYSJDqZqfcP+79wZ0HXVtgwuX+0kYa5kXbHH/DvebcaTeIIRXRQbGyZqW8tum1rgR2c3dz0ZbAnl8VXc9F9buD3Qfdcb5ChSvS4HT9jHejx2zR0NAwvFkpFeAoMZwIPSfOtaJi5JTqbEB/nD59ujsm+sN5G4WJtk3ELtHSXPYVwwgCEz8ZsuvoSfHTMD6akpMILXaAUaf582EEEaOenkQGsaaw8eAY8NC37W9LOYUNAYOY0tLYCBnWA7GwfayIElW9tAIcn3/4kE3EqYDQ0Egbm91mGvVRBpZFS167tLdYutpoIGhY14Pw5d6rNxmx0zC34ZTNVhE+GqlijY+2m6B54/w3yqtmvmq4BDZrgIqNuZPmxo5EDvTkf/ofXm1KUGs0RVN7iMJkK6JByrkKGj43vhQ343AYUt68EP3RssgUj9CUVKOwINqu68CJ9OS6rxiG35j4yZB9x6KV3hA0DRNGFj8a+XH7/IQ48qPrfTCGdW1NIpxxGhEuVHNT49SbwqbRo7HAc08qXH1j/fDn8W81osTmmyPhKsDF9iBCLKVSQKGYQUDotUJA6DosP+hfHl0bwmanJS0jb4qIYaeix63riYka2sCwuK44Wc3N7TsVK8ftKrtluD4pVa4/7XoXBeo/0S+/O/A7+dG2H8VeKQ4o5qLkY9GDRDBuaYUrHcPYg4eS2NlI7dHPx9CkP7DZuFdMIIb0Z9YKhYWZM2e6Z84t1T2LjPxBl0TQDmmfuewrhuE3Jn4yhA1OAeOgdNzIKTgUO0D4QFj3+QGN3LDXy1hrKRBIVHOjpLWuBwJX0np3VARpJbGxIMWufk69S63TwZWIjnufQyOvB2L9kEagWAsymlgyohzrODbssdMNZP1iYMni2FFE2O5OvCcM0cXhYgYx0YMBSJSnfm79cFqlQjtgjRlwr4lUZRv69o0rbpQZE2a4CBD7//xq769irxY+OHc0Ys1mp4UEHm082xrRyGZqD+lEWkgAI3LPnj3DkXcthe3G2cmT3XEYQIhpGhTpeub9L0w09c0bgcxlXzEMPzHxkyGa/z5ayhsc7T9K2MeR6T4/7CdUW1krMybOkJkTZ8r0CdNdNIlNHzMBQ1TFSiopRRQhQLQggtgkU8WLW8ez86BLV9LF66OB2EJETZ8/3Xn3mfQZeCnH7NaCRJ7VMFD4bHb15zOZhBFctv5nZBCR3BfgHlOEwk+G6mpQMu64bOce9wzcN1e2etchlyKpkUHuH6KHtsP6HhXQCufr7mnk33OPqezGv8kFVH774MoPOhGAAPrmxm8Ol7kvBjT6U2jiBzDmWQdEWhcQ1aASWzYiG6xBUi87e+joWhrdTwdDU8fUsFBXV+eeqQbGZphG4eFtd52d0b3gIJd9xTD8wsRPhmjkZ7SUN/BGfjLZ54e9R/5w4A9y1UNXyaRvT5KKb1XI7B/MllufvtWJokwEUF/PSYGSzgJ4UthYi0E6nNeQ7Tna4zz9PJKpDseAWz292q350I1NnbA51OHeI15IYcAjuuB473E50mplWEeC0tYaRSNq5zcnpkyRoRlRI7mk+aD7LKrKIV6J9PTH9v8ZFsyxwhcjRRk7WjqG/w0RH28qXC7A0fCB0z/gjnsGeuSfn/vnghQDicDRAgd78rvgwUgw7jQ2Np6Sisa6BtY3eNPRgoDP1TUWzc3NLtVI9/cJY0VWIgAa/aEKmEV/Cg/6g0Z44jfkzWVfMQw/MPGTAZR87eyLekTUMBiJjuNR8ZNJytuEsgnys10/k2t+dY38dv9vnfGFB5oqVF968Uty859uzmg9ka6pQLSMtt5nLLQaG+KFCI56jxAtrOVp3hGZ3Em9GiGVTcHQpaw1a4K0qhcRAwQQ0QOvCGL9j0ariBDpdzFOgoHCdQfSGilhHgQD8+ZI/+TJ0i5lbk0PYnQ4vQ2BXDd1uHT6aFEchLKK5YlTJmZ9nc9InDb1NHnXkne5vofwuf2524fHgUJm4ZSF7ply14WMpvaocU9Kz5YtW15mAPoJYyQluBl76acYkSoowroPn5brJl3PKr8VJrrWjLS3RKImF33FMPzAxE8GeEu+TioffUFq31DUUC8rSd9zPblssty+5nZ3/P1Lvy+Dfz8oJ/7hhDx1zVPud/dvvd8JpHQZLnE9vmLM9T7JgHghgqMpTSqCMITx6DvDmHU6Y6wLQtTwHq7yV8xYZt0I1eW8VcumzZg2/PqRQ0cs/S0O71ofImXxKWZ+gCBtXrZSdlxxlXTWz5AT/S8XPUScxkpd455qBA/PIhHFIM43XS6ecbG8Yd4bnADa2blT7nnxHlcGupDRtDe+Z77u9ZMseLxJ7dFNUUnvYnE3Fc6CApFTW1vrjjEeKSdNm1fDMmwQkdJqda2tIxc3MfIXbXtEdjQNM55c9BXDyBQTPxmgKW/AGpzRoNobA0gmkZ+W3hZZd+06J3jwPv+/7f9PbnzsRnn3o+92r2OQpJv2hlBQ8eN3RABD163rmD/9lIIGLiWqI5oShZDp7up21ygRGAEIqOE0qcjP/C3lkRFR/Fs+Rxfwkyqli+SNk2tuACFCqXC/QMx2tXe5iB5RuaO19dww91plX68TpW49WET0JCuqEcUaLUJAjyWWcsHr5r1Ozm041zk2nm19Vr654ZuxVwoT77rGfN/rJxkYY3RTVE3twaALMrWHfXQQFDgpED9lZWXD42UY8UZ/bNF74eGtMjhaNCcXfcUwMsHETwZ4U11YCzAaus9PJsUOSsaVSNvxNjnrP8+S8356nlz38HXy1Ze+Ks+1Pudez8TzjMdehUdQ6VBM4qQ6zZg/w4khb4ll0tQONx+W5u3NzvCNX9ejqJAiFa5yfPQ8EVH8WwRUaXnp8DohDPKR3qfYYN2VRti0mEQmODEVEZxcc8RrZ1vnsFgZN6FSqvbskjm//43M3rHFpayl8nnHu4+79wbOVcuZh5Ebltwgc6fMdRGgh/Y8JPdvuz/2SuExrXJa7OhUx0+hQ0GCRYsWDa/J0dSe+H15/ECNSI3QHj8e7vRd0p4wdsGiP4UH93akdT+JyGZfMYxMMPGTAbp3D9SOTyLyE/kvo2IHFVXywcc/6MTOsupl8qGVH5IfXvZD2fTmTbG/SB8VCUy+maz3SQa8/0RvKG3Nw7suiEmfaBARBMpcs1hejWovCKe6OXVuPxhdD8R3wBhHIGkEDCFl6W/RlDfgOk+qTn/PEK4xhScO7jjoBCeiVUWzK0NdWyUNy5pk+sb1MqG9XUp37navJQv3insG3NdclLVOBVcB7vQPSk1ljRNApJ4+3fJ07NXCwrue0Dv2FQPsdL9w4cKspPa4MTjyecB4GGZRwXiiqXreIg1G4aCpbyOt+4knm33FMNLFxE8GdPVHw/wYBaPt8QNUe4OplemLH6q5/XTnT93xk3/1pNx+7u1y9dyrnQGWKVrpLZn9ffwEEUNaE9Eg9uzxltgmDY91H6RTIWoSFUlgTxhS4bybrRI1QDCx5w/fCzFVzCBYVNyS7pZqChn/ligaZaoRpRSU0EnQiamIeEXEUuXPFTGI/G6oIVoKt3T/AfecLESQtLqbd41XmEH43LLqFtcPB4YG5J4X7inIEtiMPxWl0WgtEehig3btTe0BDDoMOww8v8DDTuobIojP4TPCvJEkRq6OvVbuuPDQ1DecXLrfz1hkq68YRrqY+MmA4TLXY+zx0zcYMT4jDyI/E0r8WWtBtTf2G9l9dLe86Tdviv02PRjU1DhOZX8fP0FwUc2LdDaEUFVNlRNiChEGVyQhtj6IQgecM+fOv2U9CcY3KVZQUhYxwAeG3L+j+EGi6FGxoFEf0JLgo0H0BdGIEEHs8PCKEiC1ELHqUhgj4tUVyfCktg0sPc09pxL5QezquiRSGoNKvwwC0l5vWHqDDJwYkM7+TlcC+0B3asIvH9A1i4Ve8W00SO3Bs62pPUQ82OjRr9Qe3oe+xMamPBP9ofx1WGFdEulvwH4wtsajsPAW3Ei1jQfdVwwjXUz8ZICu+dGdz0dCoz4Y6tWV6Rc8oLT12xa9zR1T7nrcN8fJiv+3Qp46FK32li4YnZpjXjHh5DqcXEG6E6WrKZVNRIFogqa2cZ4IGgodYJQjhtgEk2gPIojF9XWz61zqntvA80REOPUelwPbDoxZVa4Q4Xqx3gcQtiPtk8O1IaJDCfHmnc3SsrflZWumXJSuIRqlowQ5YnWkKOFQfTTyE7GEpKQlubQdBBbni8GHoPKKqXzg7Lqz5Y3z3+iiP5TAvmvtXc7pUUhUlETHB8aiYobIDGsbgkjt0dQx3hsBBEeOHAl1SpleB/qvRX8KC4QLAhfSKWEdZF8xjHQx8ZMBmvfuXQicCG9+fCZrfkiz+8J5X5C3L367S7EpLymX8xvOlx9f/uPYX6SHVnkDbxGCMMD5sI4Eg7thToOLXHgjQkR0jnUec+tPEDite1qdOKqqr3KRCTX2+R3FFFivEp86V8j0dPYMr8lBRCpcN/bQQTiSVuhEZOTaUEJcrw/iA8FEFG7mgpnR9VlTJw0L0dEYWDgvdhQRs/vGjoDwuRQ6AKJ4ud7MNF1e2/RauWrOVW79z5bOLXL3C3cXVAlsHevUoVPM0D9I7WGjR037wqDLpMKVd10FHnfeX50A+/fvH+7LYYNz1f2I2PMnrOdppIemviHA07m3QfQVw8gEEz8ZoHv3lJaMbgzq35H2lsk+P0MnhmQw8t83L/mm9Pxdj/Td0CePvO4RuXz25a78NY90Um0QBoBRG+Y1FkRy2O+FiJBLt6p/eboVUR4iFm372lyaHJEsF52IjNeIPKIblMbmuRgmaK2axjUiuuMq6kXEDg82nEU4elMCKVqAwKmdVeuuMWmIROFSbRdDM05WPyxpa48djQz3jPvBxMjn5zNvXvhmWVmz0kV9njj0hPxg6w9irxiFCClfpPZoelAmGz16q7thcOI1J3UIMDxJKwsrep6sTxppTxgjP9GKbwiVTNbs+NlXDCMTTPxkgHo/q8pHr0jF3yF8IJN9fgABxPs1dzc7odPa2+r29+E43TUGWuwgV+t90gGhRtUyohEY6TUzapzRTLqbepYAw56QPdcf499FGI4dd+KISJCKg0IBAUGhB6I6hw8edut9+L4IPyI7WgxC4VqxTkrX7+hmspSXzkQID1VPlRPV0bY+1rof1vloeh3V3ZKJLIWdG1fcKLMnz3YRoAe2PyCPNj8aeyW/0YpvxVbtbSxIDWKjRxUAmtrDWh1NKU4GXQvBmKUV39j7RxeNp/p+2YRNT/U8if4YhYN33U+mwtavvmIYmWDiJwM0n3982ej7kBztjwwWsSBDJvv8BAGGsBrDYUt5SxaMdKqYYbRT9AAjnsgFKXIIOtLk2COJv6MENgMsi/cRAqTK7Vy306V9tR9odxEIfk80LMzpcZwbggGRwzkT0aE0OIKOyBZRHbdRaCylgP2P3DOisWqSq47nhOOCGW6dFOt3/BYdQ7XRyW008RNf2loLVuQ7pKV+ZOVH3HpABNC96+6Vte1rY6/mL1R8A41mGychukp1K03twRFBmWoMu2SrtWk1LVLINKKNoNBy0rxPR0c4Uw45TwQQ4NEPc4U6IzW87dGPvaf86CuGkQkmftLEu5A5YlbHjhLjjfxksuYnCDTqA/m6ziIe0tyIXJAip9XjWKDvRFBZiXuNCJEO5og/IiSICEpr64apB7YfcOIIUUEhANbHsCifvyVagUBCgBBRykQoMfBzDrwP78kDUcNnuHOKiAM+WzcU5Zw4Nwo+IHI4JwSbt3AF73li8IQTfHzf2pm1riS4i+xMr3brauJTBv1mqCG6+3tp88gLW/mOes4IspEKKOQjlMD+wOkfcGmxFAigBDaFEPIZLXiAoDMSQ2oPnm1NFSJdjQpXCILRoM+qYanVsZS6urrhSFBLS0toPeTqzee7UKTBKAwQKFr0wM/CG+n2FcPIFBM/aeJd8DtWwYOO41Hxk2nKWxDoeh+M4HyN/IwFBjXpVHw/J4AiA/mcpXNk1qJZMmXaFLfOBZGAAEEMDvafTAtzUaKIqCBdjvUxiBHWEpFShhjRinOIkX1b9g0/iMDo2prRHvu37ncPjnkf3pMHoobPQNiwTxGfzb1yQiuB4cN3I/pFcQKq3RH5qphY4X5PZIfXELdBip14BufOcc/jOjpknKdMtkLUp+twdJLjPMdPHj2Cmo+cNvU0eeeSdzqxQHnoW5+5VY4N5G+ZV61WaWlvo4Mxh1FXXR2tWkgElsXdBw8edMIgEd5iB7rAXGHMamiIbqkQ5ugPEQI1ZE38FBZaeTDdogcjkU5fMYxMMfHjA2NtcOrS3iKELeUN1NAn5aiQvO7xMKhSNQ4YXImUEBEhTQ4RRCSEfWVIk0MIYWywhojUORcpiogmd42SFA98hqYUjvZIZnDnXPhs9r5BxFC1jRQ/RA6RHM6fFDbWPVGcgO+h5a35t7kSFYOzZ8aOIu1r18tT3xB1XAPg3mRTmGWTCxsulCsbr3SpYvuO7ZPPP/f5gqoAZySGvtfY2OjSezgGojY7d+5MuGjcm04UH/kBjEMKIECYoz+a+oaR7GeUwMgtuu6HdpdJ0YNEpNpXDCNTTPykSSrGi0t7ixi5YUt5A924slBS3kYD4aBlso8ePjosPPgd6XGIBxcdiYhABngqwiFivBXmEBqUfSaFjH+DAKFYAGKEqIs+EE6srRnrgdHP3/MePOob6937Dn/ewsjnLZzpjuvmRM+Rf8P7I3KIWsWLBiIqWja6clJlzkSFpr1BSeupFd84R+4BEPUJw/5SQfLWRW91+wARAXqh/QX51sZvxV7JL7wpvoW2h1FQIFqS2ehRf2btjKYYeaEfe6M/YS0qoKlvYOlLhYOWMoegRG2yfcUwMsXET5p40z7qJsQ2dBwB/pa0N62UFBYw8HWtCgZooYPxQCQHSB9jXY0XxBGiAzFC9Af4m5bdLdLV1jV8rXgNkUSUCAFCsQDECFEXfSCGWFsz1oMoDn/Pe/BABGiRhnSjcd69ejivXKEFD6Ck+WDsKApRH/Vccw0KNerj5T3L3iNLq5c6AfTfu//bVYHLN+rGnxzrvKm/xuhgzGHUxVe4Yq8TdcJo5Ifozkj9AeNQ1/6wQDyMaUGcn3fPH6Mw8LbLIEtTJ9NXDCNTTPykiTfyM1bBA62MpIuFwwLrW3Qwyacy15ng1r6UR72qRHbiQWwgRojsEJlhsMdI72zvlEO7DrkF+mEfgBE/gEjLpag9pdz1nn3uGbh+eu25FwjIYqC8tNwVQKgfXy8DQwNu/5+nW56OvWoUOqTzzPZUuAIMOk3tUfGjaytGwhv9Ceu6GkQacI5awc7Ib2izmnbpR8W30RirrxhGppj4yQLqIZ1aGa60N/aDUbQUcqGDmNFoCJXaVCjEg3AgMkMKmgoIUuAoQtC2t224UETYIOKj32n8xPE5j6ho9KekpdU9A9E0XetTLFEfhXV/H1jxAVcK+/jgcfnC2i/I1s6tsVeNYoAKV/Pnzx82JEnpYaPHvr6okyzReh8v/HtNi2tra3PPYWPKlJP92qI/hYMW4gha/CiJ+oqlwRl+YOInYMiL50Ha24SSkxuFhQEVP3hWNM2rGED8qDeJwgejgfChmADrcTRidLz3+HBFNtLnwgRrfTSdbOLU3BfYGJwR9VJ7y10TPQPa3ITJ4eoT2aBxcqO8//T3uzGhd6DXFUDo7Avvzv2G/7B4fNGiRcOpPURHSCXCqNS0tpFg7KL0NbD2Ioy74/Md1FC2dT+FgwpzIno6zwRNfF+xNDjDD0z8BIxGfeikWiY2LKjhnu0SyLmG1DbS36D3aG9SgzjrcYbXA8WEk3c9EAv4w4BGpDjHisrcpbwpQ42N7lnLXVM2nIgbsKFpIVcYHI3l1cvldU2vcymx7P1z+3O3S++gpQcVE/RRTe1RI47oDyV+x0rtwSOuYzZrf8KIpu/xnTCWjfxHxQ/tNZv31NtXtN1bGpyRCSZ+AsZbGCFs1d408qMRjWICMQNu/UlHciF0XQ9Eeez49UAHdx0MxXogTXmjcEIYhMXg9JML5El9Y60P14hrR3nxYuav5v2V/MWcv3AFEDZ2bJSvrPtK7BWjmEDIsEYGA49+QSRnrNQeIiuklgGRlTCKC+/aJYv+FAbelMxcrOWir7AnkJ6HpcEZ6WLiJ2B0Q0NSXMK0zw9rQ1jDAsWy4NyLK68cW8uD+EklckMVtpetBxo4uR5IIxvZhqiPrqUJSzqZFjxwtLQNV9hj7ySuY7Fz7YJrZfHUxU4APdL8iCuCYBQfOASokKapYsmk9mgaEK93doYvbZLNKzWFz9b9FAbcT818yJXgIA2OanA1NTXuZ0uDM9LBxE/AaJlrCFPkRzc3hWLY4ycRWvgAEThS4YPR8K4HYm8OYD1Qy54W6TjYMVxuOluQwgdMTmERP0M1UQMNejqPDacY5rIEd5hgg+QPrfyQzJgwwwmgH237kfz+wO9jrxrFAmt9iPrU1taestHjaKk9RH684iKMhp9Gf1ibZKlvhUG2Kr6NBv1j1qxZSfcVw4jHxE+aTCg7aVyOlqvvxE9sUppaHh7x452IijHtDRAIOnDqIvx0cOuBmk5dD3QsYuiTCpfN9UC63oc9gsKylmaovo7Z0h0f64m2OSI+hb6paSoQEf7IGR+RSWWTnAC698V7ZVPHptir4cI71o0vHR87MjKBsVidAqTzENFJNrXHWzAhqI0nM8Gb+mapSYWBtkutTphLUukrhuHFxE+aVJWf3LB0tEpN/SdOigz2+QgLGvnBWC+mSm9eXOGDWITEmzKWDlxDXQ+kxRSI/Oh6INK9gvTMcu4UEwBSysLCiYpyF/3pnVotfRIVZIhFXbRqRGHzUCJApSWlrggCBRD2HtsbezU8dPafHOvCtmlzvuI1ItWrTspYMqk9rBXSvtTREb5NZxE/en5mkBYGKjS8oj2XJNtXDMOLiZ+A6Tje4dLeqivCVemtvy9qKBdrypui5aAZJLuPZF4ylqhGzYwatx6ICAwgTCiLTXnsoNYDsWGtErY1XER/jixY6Kq9AVXejJezsGqhvHPJO2XoxJAbNyiBrWsGjcLFmz6khiVoag+PkVJ7EEusFQLEj67jDAukA7NGA44ePeqejfxGBTrkMvXNSzJ9xTC8mPhJk/KSk1Gc0dLejvZHB/wwFTsAjfyUV4QnGpULWLej16DnmH9pI5UTKl+2HgjhgwDqOBQxUjKIMiVCy5Yz8IdN0A411EvXrMbITNnnrkuxC+7RuLDhQnnjgje69LfdR3c7ATR4IlwGLVSUWtqiX6gBSd/VNTxe8GiT2qMiIj61Rz3eeOHDKDA09Y1IQdjEmZE6XoEehtQ3L2P1FcNQTPykybTKkwu5vakg8bDPD1GFsJa5Li23ilu6+J60MT9FCekeuh5oSs0UZ9zQFij3fGjXIV/XA2nBBrfeJ2QpZd3Tp8tQZMIcFzF+Jk4KV1QqjFw15yo5q+4sJ4BeaH9B7nvpvtgruYeIFIQtkp3PqAGJ8Bmp75Lag1FHmht4U3sofKAOlvb2dvccJjh3xaI/+U8YIz9eRusrlgZnKCZ+MkC9n+zSPhJa7S1M+fEY+JqrqyHiYsabJpZJ4YORYD1QVW1VdD1QbI0R15/1QId2HzolZS0dWFuk632IrISNo7X1sSORCX0j9xXjJO9Z9h5ZWr1U+gf75Tf7fiM/3fnT2Cu5hfVIUFFikR+/UPHj9agnAmHU2Nj4stSeXbt2Dae+UfQgDOswvFC+29b9FA4IbRXbYa3gN1JfsTQ4QzHLNwPU+zla5Edz9qnkFBY0RQos8hNd96T79eg+NEHg1gPNrJH6xvrhVDvuRcveFpcO19+b3kRCsQb1aIWp2IFyrDIq+CY175eybv/FZSFCcZT3LH+Pc5oQAfrOpu/Ik4eejL2aO3TTZm/k28gMFStej/pokNqzaNGiU1J72OeHlDLeK2wbimIoa/SHDVyN/EfFT9iEdjyJ+oqlwRlg4icD1Ps5ZqnryH9hSnvTlDew9RdRNCJDIQi/1+PEQ5nn+rn1Ut1QPTyJIGAO7Tnk1gOluj+Q3k+8XWWV4bqfrHMajHm0Jx08KCXtttlhsjBmfHjlh53j5P/f3rvA21XV974jLxISEkLeCZvsEEIiEYxAo4iNUqmIYqlc3+LVwz3ecqFaH0i1eGipqAcPllMqlYOHUyxXSn1wsSgV8aBUBKJoBIIBQggkhLxfJISE8Lr7O+b6r4ysrL33esy51phz/r581mfNtfYme6055xjj//u/xosvv+i+9uDX3IodKyo/7Q4IMRiqpSMVMB7NEz1Y5CcEoXTkkUf6He+BsU/UhzSk2MQPmPFJlCt2g1kMjtWmxVbzU4/asaI0OAFawdrAvJ/mDa1lx4txtoV9+cV9i4922U8IU99a2fC0WTBWqDUiFS7c8JN6oA1PbvDpd41OzM8/l+RdHzTyoGp6SSxwLl+p7CN1yPq1buhO5fw3Q+/YXnfuMed6B8ruF3e7S5dc6jbv2Vz5aedR5CddECs2zhuN/Bik8xxxxBHVjR5xpGCMrlu3Ljqj1MQPwifG/YhEc5hQD+/fmKkdK6A0uHIj8dMGJmj6M0bMS8rkEFOOvHXcYRKIzVjuFjQKqEZhKmKiE1APRARo6qypbtToJDUEA2Hbhm1u01Ob3O5nBzcULPJz0Oh47jHDn8u+83rQzh1u+K5dbsi2+PYiiZ3jJhznPnz0h/18smXPFve3S/52wGhzlliKr8RPOoQixYyyZmGjxzC1B2Nu+fLlUaX2WE0SsCGryDcmflir8tTBz8aKfX6lwZUXiZ82mDJqin/GIKnXjjaM/MSY9qaUt/2xzUl9DU1KXdgaZfiI4W7i4RP9HkEcA00Mtq7b6rat39ZvKh41Q7b4RNfium9h5Du80id+xq592r83JAdpEjHylhlvcW/reZsXQE/ueNJd/sDlXWmBbRs6Tzk4mftEe4TdspqN/ITw/86bN6+ajsS/G1NqD5/PnEuq+8k/YYpm3tqXcy+yKarS4MqNxE8bmAGAEVIv9W33y4nXnpSVmPb5MUPajGyRYM0CfPe0yoacnQYBNmXmFDduwjgfFYLndj7nW2Pv2LzjgHqgsFMcaW8wffR0/+g2z+/alxJx8O7EszZ0wyb/LJrnQ3M+5BZOWeg7rv1606/d9cuvr/ykM4RznMRPOli3LISBiYNWQfhQ4E1zAauriSW1hwwDa3oQCj6RT8L9qGLt+DYQYRqcjTulwZULiZ82COt4dr1wYNj0mRee8cIHYor8mAGtlLf9IfXNUk86UffTH0OGDnFjJ451U3unujHjkjaxGDM7t+10G1Yl9UCGtbjmc9O5D9Ez5JtD/KPbAsjSB/lsB1Vqy9TwoD0+Nu9jbubYmT4CRPvr29fcXvlJ9mzcvbFyFFf3yjxjIqVd4WOQXoZhimd++PDEuRVLag8tr4G0t7xFC8T+hPdrHsWPQRocewKZmFMaXHmQ+GkDS3uDjXv2GQYGaW/m+T50RBziB+FTXXDV7GA/iLRYC+q9z3U/PcvXA00d71tjjxxVybHuu35WD0QnNR4Q4+ame55LBKRvI16JSg1Rvn9bjBw20n3q2E+5CSMn+A5wVy+72j2w9YHKT7MlnOMmjZpUORLtYDU/oSe9HQ455BD/jMNh6tSpUW30GKZKKfqTbxDW5ijMe6SE+/Loo4/WpqglQ+KnDcLUj4HS3tgMlX07YuClF/Z53FTzcyAjxyQL9N7n93a87qc/Rowa4SYdMclNnDGxuuAgehBArm/dedWcV7ljjz7WTRw10f8sBkittPRKOum9PHGCPx6yI742vHkD4XP+/PN9VPn5l553X17yZbdm15rKT7Njw3Mb/POwIcOiutfyjImAUBi0A9EVmyOorWGjx9oOVytXruxKN7iw6YHqfvKP3bN5jvwYjI+YxorIHomfNqDjEcIGtjy/xT+H+MhP33/jRkTU5vqVfTUjQ4fr8tdim53i8Qn3Q4oBapLoCufrgfom6HGHjHOvTHvFvf2Ot7uD/+lg99Zb3+o27E4M1G4TnruRB490r4xJDJ+hz/S/IbBonKPGHeX+/NV/7ucXNlK+5LeX9NtyPy027UnqtRA+CCDRPhaFtxS1dglra6ylNKk9FHiH75Pa88wzz/jXnYLolqVLKfKTf0wk2D1cBGIZKyJ7ZP22iaW+rdu1zj+HWNrb+IOScGoMhJEfm7zEPsL0Mbq+xQapcNQDTe+d7g6acpB78w/f7H65/pc+AvCLdb9wH7rjQ5Xf7C7Vep++z8vGq69U0nEcXjTl+6fCiZNOdGf2nunT39Y/t9599YGvur0vZeelXLtrrX+eevBU/yzaI/SYpyV+wCIs1NZYShJeemobMO4Ag/Wpp55ya9eu7ajxqqYHxcHu2aJFRmIZKyJbZP22iaW+1av5sX1+RgyNI+UN9kt7U7e3A8BYt65p1kwgRsaNHueuWHqFe2bvM+6PD/9jt/kjm93Gj2z0ncBiwLrQEUnzDRsO21fzpqYH6fGuWe9yfzTjj/xc8/ttv3dXPnRl5SfpY3OczXmiPUJDKk1HlNX9QLihKH+DtJ4wtWfr1q2+vqFTBqy180b8qJ4i31gUrwhpb7XEMFZEtkj8tIl5QVftXOWfQ6ppb0FXuG5jCw4GKV3FxIFYLVTM4mfk0JHVTl9Xnnyl7073zIZn3N+f/Pf+PaO2NXansFbhlkbYt1ImzyJ12AD16EOP9gLorvV3uRtW3FD5SXqQWmfd3iR+0iHseJZWwwMI64fqbSjazdQe+5t8d7UUzjcW+SlyNERpcMVF4qdNJo+a7J8xDmwDQMMaHsTUFtaMYSIcoj40GAAM+FiaHtQyfOhwt3LHSn88/7D5bujBQ93BEw52x0883r9nbHhyg9u1fVdHvaxsvGoLokUXXx67zxs9dLsWjjSh/ubjr/64n4sQQN95/DteBKUJzQ5sU9Wwy6VondD4TzPyE9bW1BM/0K3UnnAjV3nQ843dswjZIrcuVxpcMZEF3Ca9Y3srR8498ewTlaME2+cnpj1+bJJSm+v+sXbXEFvTg4FA0A4dsv+QZnLevmm77wzXqRqm8JxZFO2VSqtuj4ye1GGO+csFf+k3U6YG6IoHr3CPbn+08tP2Wb1rdeXIuSPHHlk5Eu0QGoxp1vyARX8Gqq3pL7Vn1apVmUVlwgiXxE++Ce/ZIosf6MZYaYT3vve97otf/KL71re+5datO7DuHHifn/N7/L5IkPhpk9ALaq1ggZQ3I6a0N21wOjgU6BuWvhUbGLizx832x7/d/Fu//wudB5dtW+bfMyztjBS+zWs2u63rt/rITJa8sCc5ZywS1XbqQdrbkEijaXmHvXfOf/X5/rzT+ODS313q1j1Xf0FslnBumzFmRuVItENoNKW1yakRNhYYzDtdm9qT5UaPYeSniLUiZSIUP2VJYezkWGmE7du3u7vuusvdcMMN7rrrrqu8uz+8z8/5PX5fJEj8tMnU0VOr7a5XP7vPO/riK8lkQLrRQUP3Tfjdppr2pjbX/YLxaJGxWCM/u1/c7Tt9wV/c/Rc+3Yk25p+4+xP+PWPS4ZOS1tiVNMfdO3e7Tas3uZ1bdmZWD2RGDcLHRPbL44OGB1u2Vo5E2swfP9+9f/b73QuvvOC2P7/dXbrk0gPScVvB2lzT3n/UsGThF+0RpqKaNzktDj74YP/M32gkwlKb2oMx++STT6a+0aN3iFSM5qJHC4pOeM+WKf2rU2OlGWbOnOnuvffeA/4+r3/1q1+56dOnV94RhizgNsEQsOhP2PRg2wtJRyvS3iaMSjZ4jAEbHLXpUWJ/aHkNsTY92L5ru7vguAt88fk9G+5x0/7faW7K9VPc2IPGVn4jgaYWtMae2jvVjRk3Jum81rdQ7di6w21ctdE9t+O51CdsE4xh+uB+DQ9k9GQK3f/OmnWWF8RPPfuUjwBZvU6rrNixwj/3jOnxz6J9zEmQZrMDwzzT0GhbaYzZMLWHeQGDLu3UHov+KO0t34T3bdmieJ0aK43yute9ztf3/e53v6u8k/DAAw/4DYVf//rXV94RhizgFJg3fp5/fvSZfTn2e1/ZN7HTmSsWqgX8ynobEEtD2bsnzgV67/N73dant7pfnvlLd8qMU3za28lTT3bXLLqm8hv7Q+Rn/NTxblLPpGoqHJ7XbRu2uS1rtqT2Pbm/TPwMG7FP8LxyaBD52aaGB1lDC+wFExf41uePbH/EXfX7qyo/aR6Ek+3xY3OdaB/zloce9LTAO21R12b31KlN7Xn22WdTTe2xeiSlveWb8L4tU+QnJOux0igmbhYvXuyfDXuNOBL7I/GTAoePPtw/73lpj9u8Z7M/tsgPxNTwwCYpNTwYGDs/nK9utYseCPZr2vXcLrdn3R5329tvc7v/82738z/5uf/ZK3/2in/Uq/dA+Ew+YrI7bOph1U5sz+953jdE2L5he9vflXoiiySF99grYRSopAtlpzl//vnuVeNf5SNAdzx9h+8C1wpEtJnbQM0O0sM8xGnX+wCGqXnmW/FEZ5naY59LkZ98E963ZU5hjCENbsGCBV6A1RM/pJn+wR/8QeUdYUj8pEDoDX14+8P+OWx4QJ58DISGrVpdD0zY9CBGr5YtNnhPtz6/1e/wv2XPFl/3g+gZrNB99LjRbsrMKUk9UMWDt2vHLrdh1Qa3c+vOlift8Fztl/YGtlj2fUaRPUQDz5t/nht/0HgvgNj/5851d1Z+2jhhp7d5hyrykxYmSrJIewP7d5uN/BjMC/VSe1auXNnyvwk23zBXqO4n35gAKnsUL6ux0ihEed/whjf4zm6k3gHtuJ9++mkfFVKDqwORBZwCYR78ml1r/DNpb9T70AyBfThiIDRoNRgGJoxaxNj0wERGOxvVWj3QlN4p7uCxSYE0AnnHlqQeiOYIzUJEyqhtqmFND4ZuVsODTkHU+VPHfsqNGDrCdwj8xu+/Ua3faZQHtjzgn5nLqDET6WBj2MRA2qQVYalN7WGjx8cff7zlzlFl7BJWVLK6d/NK2mOlGWpT3375y1/654ULF/pnsT+6c1OAyI4ZBba3hkV+xo2Ip831ft58aZ8BCcVPjGlvL7+YfKY00hf5NyZMm+DrgazRA+lrtMWmPXYzTR/2Ez+10UUtlF2Bvcj+r3n/l3fGsBnzJb+9pKkW2DanKeqTL6yxANGVViO5Rm1qD8JtzZo13rMcRnsbIYx0SfzkmzCKJxLSHCvNYKltJn7o/gZqdlAfWSMpYdGfJ3Y+4VOPdr+UeM1HDd/XdafbhEZ86H0TB8KkbtGxl16MLzXDrmUa4scYefBIXw80fsr4qnBhY1RfD7SxsXogO1fh+atie3y8oFz/TvP6Ka93/8es/8NHf6wFNkJoMEiX27hnoz9Wp7d0yTrtzeZ4DK400pIY02FqD2zbtq3p1J6wVkTiJ9/YPabruD9pjZVmOPTQQ92rXvUqt2zZMrdhwwb38MMPexE2adKkym+IEImflLC6n23Pb3Pb9253O15KIj+HDo+n2UHo/cMLLPqHlDATAGE0IxbMg2QTa1ogWMYcOsa3xh47Yax/zX2z65mkHojngbzItoHqAfU+fVTT3ra3v++MaJ539r7T/eG0P6y2wL7sd5cN2gJ77XNr/YapMPfQuf5ZpEO70ZjBsK5qkGZNRm1qDy12m0ntCcWPIgaiyLQ7VpqFrm6Mqauvvtq/VtSnfyR+UmLh5H15lRSfk/aGwIiq01slVQpU8zM4FlWJMfJjLcuzalzBvztu4jhfDzRqdDJxE/khAkQkiIhQPaqiTJvoRsk5887xHeBogX3/1vvdtY9cW/lJfbbu2VefRetskQ5hoX8W3d4gyzm+ndSe8Puq3XW+sciPGlf0TyfT4KyltaW8qctb/8hCSQlawNrO50R+fNpbn306esRo/14MhJ7GNNOliooZD1l7aFvBJs2sRSztsCcePtFNOnxStTU2NUDUAm15eks10mNYalzaESmRDjRf+Ytj/8JNHz3dp8DduvpW9+Onflz56YFYAxd+f9IopU+kRWj0ZDVWQpGRRVvp/lJ7BtvoUXNDcbBrKfEzMK2OlWaZN2+eGz9+vJ9fiDa95jWvqfxE1KJZKCUwKmaMmeGPKSbe/XJS8zN2xFj/LPKHdVKLTfxUN6qFDgXwRo4e6aNARIMs2rTnuT2+Kxzd4Uz0VM9Vhz6XaJ7Rw0e7C15zgX8mBe6bD3/TLdm8pPLT/bE216r3yR9hXWfaHuaQ2tQeNngcbKNH+2yK/Igy0cpYGYif/vSn/hHyve99z7/3wx/+sPJOQr3fLTMSPylyzPhj/DN58jQ9AAwMkU/Mcxpb2ltoyHQygkeUiTog6oHGjBvjXyN22BcIEfTcjueqIqheKs/L45POh0O3P+OfRfcgivPp4z7tj59/6Xl32f2XVaM8Bg0Rdr+YOHFU75M/wjGYtWe+NrUHb/YTTzzR70aPWUeshYiVZseKyAaJnxQ5YdIJ/pmoDyklcNhByQ0eA+HA0uIzOMNGxCl+ug2Rn/FTx/vOcHSIA4yrbeu3ub179vrIVN2anxGVbm/a2T0Kjhp3lPvo3I+6F1950QsdOsDt2LuvGcXOvTsrR86dOPnEypFIg06kvXWaeqk9GHTsdq9uYMXE7IgsI4tFRGOl+0j8pMj8w+b79LetG7a6p29/2m1bus0dctAhlZ92n/0aHrSxOWZpiNQJE7ac7qaIZU8g9gZijyCrB+Kz0Qxh1/ZdB9QDPbN7j7tn23b3+M59RrXoLm+e/mbfBQ5nzdO7nnZfuf8rvgMce0X8yw3/4nZt2+XGDB/jaxpFeoSRmDA9LW0s+tNJg6qR1J6tW7e6++67zxd9i/yihgft0chY2bRpkx8r69evr7wj0mDIK4qzpcaDDz7o3viWP3S7tz/XdzMf7Pbufd4bp1/40hfc//3n/3flt7rHzi073Y6tiWf38KMP98+if8LzNeOoGdEIRsQFDQcA8WHRl25CtOeZzc+4rWu3+i6HCCPaXR8y/hD33N7n3Gf//LPuV/9xtxt70EHuuRf2ukOnTnFX/I8r3MmLTq78C6Kb/OOyf3T3bbzPPXHDE27VTau8iGWTTFqzjp081j3wqwdcb29v5bdFu2DckOoCRx55pBszZow/TptHH33U19VgZOFl7iREA9atW+cLu41nnnnGffazn3VLly51hxxyiNu5c6cv0r7++uvdscceW/ktkReIVvAAXb/W0VjpPBI/KcGmUrNmzXKTJ09zRx89uxrK3Lx5s3vooYfcpZdf6j76Zx/173ULiZ/moIZl24ZkMpp25LRoOuTFKH6AlLeNqze6F/e+6D2CQ4YNcc8995z78Ac+7A3p3pm91XHBeHniySfct/+/b7vXnZy05xTdg2jPWR8/yz34Lw+64447rpqPjkcXA5p9KfDS00lItE8ZxI+BQYdhR3vfs88+202dOtVNmzatGrXmvsKr/etf/9rNmTPHvyfygcRPutSOFTYoZdzaWOFna9eu1VhJAaW9pcRHP/pRN27c+D5lPqdq4AE379y5c92X/suXK+8IUUzwozBJE/WhJuigUQe5G799o48iHDnryP3GBQbQzCNmuos+fVHlHdFNSNd98MYH3atf/eqq8AHSpubPn+9GjBjhzj///Mq7QjSOpfZcc801buzYsW769On7peti3E2YMMF7uYUoM7VjpaenZ7+xwtjRWEmHIUuXLlXkJwXe8IaT+0TO0f7GrAWj8Oc//7k78esnulGTk9zObkBqUnVzTG1COShct1deivB89X0kq/vxbafjyMar+7ke/PyD7qjxR/U7Lu686073umte54aPya7uQQzO9qXb3SOXPeLe/OY3V97ZHzyOeHh/9rOfVd4R7UBEjagojB49um53xDR49tln/ThDvFpdQbd405ve5I455hj/fWt5/vnn3e9+97vq5owiH3DdbA8pjHWRDhor2SMLOCW4IVlg6oFyHzJkqHthywt9J7x7/4UehPB9/df/f0b4Xrf/C68jx+HPuvlfvc+195m9A44LRNLLz71c+Rf0X7f+27N2T7/XCfgZ9T9CtAo1DKS/1oM0WYSaEEJjpRMM2bBhgyI/KXDCCQvduHGHuMMPTzY6DUEY3dOn0q/85d+74Qd1z8O9e/fuqrdx4sSJ/ln0D9fNJhnC0WHaVjchh3/HjqR2a9y4cQMarZ2k3uf65me/6Xav21233oDz+9v7f+u+/OMvu4NHH1x5V3QDNqr9q9P/ynsc60UhVq5c6etS/vf//t+Vd0Q7cO9brcSUKVP83h9ZQMSOTm9cu3rR107ylre8xX/Pep+DmjLqHe65557KOyIPMN9jqMMRRxzhn0X7aKxkjxoepMTf//3fu8997vPu9a9/3X4LGaf3wQcfcjNnznK/+c3iyrvdQcWJzcEEY61Y6bISi8joVLF0s9T7XHfeead717ve5V7zmtccMC4eeeQRd+qpp7oLL7zQ/y75zN1OzSkzXDME7Kte9ar9ong4TCiwZedwrqVonzI1PDD+6Z/+yX3+85/3a0/tBqx0tDr33HPdX/zFX3gxKPKBbIpssLFCDWbYCp+ucHQV1lhpn2GX9FE5Fm1w0kknuV/+8pfuP/7jTv+amxTj+eGHH3Ev9R0vvvdu366wm7Dg8gANmsHB6LPID+crpsgP3h/AqOkvPN5pMGK454HID2KHDoh83htvvNGPCRsXjz32mPcUfulLX/KTO7/D3h/8GwcffHA057pMnHXWWe6KK65w6zes9/Vb5PLThev3v/+9e+c73+m0VKRHp8bwli1b/JhjTDEmu8nxxx/ftx4+7O644w4/zolIMeYRaK973evcpz71KZ+dwBpF/YjmgPiRTZENNlZ++tOf+vHLeGGsPP744+7EE0/UWEkBnbEU+clPbnPf+ta33OjRY/qMu8fdxq1b3KRTJrl/X/oj391K5AsmHCOrguQiEXqownN38cUXu7vvvtu9o6fHjVi92s1//nl31VVX+Y00X/va1/oUTIs0YKwtX77cPyso3VnYx+d7D3zPjX/jeLdp6ya34vEVPiLx/e9/3/3gBz+o/JYQrYNH+9/+7d98O3XED50Ev/3tb7sf/ehHVecgBh3OEfY1EaKsMFYYFwsWLPBjhYj8ddddp7GSEkp7ywBSpbb0CZ9fbv6lu23vbe60ntPcx1/98cpPuwc7BbO/CrDoyFswMLGG9JnwYkx7w5uNFxdIscGjvR9XXuncHXfgInTu2msrbyYQZaA+IZzEiRzhNOi2x7pMXP7A5e6u9Xe594x8jzt+0vFu6pSp8uhmAFFl6qiA6GhWWQFE7VjiJ0+eHJUDrl46Hp+TPUwsegzce3z2MA1TxIOtkVwfUrRE+rDWs+azzrPeg8ZK+8j6rQML09ve9jb31re+1b397W/34cVmGTpkqJs0cpI/vnv93X4TwW7Tn2de1MfOUWwiMfw8eIRiIfxczd5ffhPU3l4/uSM0eVAUvnr1avfkk0+2NAZFc+x6cZe7Z0NSRDth5AQ3pMke6syXtY93vOMd7gMf+IC7/PLL3apVqyq/KcL6QURAVphvMw8GEZ8RITRz5sxqpB3DGuMvpnlO7MPu3dC2ENmjsdI+Ej91oIsGeZbAjdRqV43JB0/2zxgV9226zx+L/GAGfGwpb7UFkLHAeTIjq674qXSCcwNEcvBumeFs0TbqrhBBtFqmOYL9/JZbbvE/F+mwZPOSqpNmwqh0OoNhHJHCePvtt7vzzjvPN04QnSHmpA4zmus1kSHSy+711CkBzsgVK1Z477cQYh8aK60j8VOH//iP//DPtBuEX/ziF/65WaaMmuLGDE9Skn618Vf+WeSHgRZoUR8TZnW9T7ZPTGWibgRafRIVwstF95v777/fp8Ndeuml7swzz6z8lkiDO56+wz9PGjXJjR3R+oaFFOnaA9Hzz//8z16sMp6+/OUvu82bN1d+U2RJOAbz5plnzp09e3Y1dZbvglfb0pCFEAkaK60h8VMDtQe/+c1v/GLxmc98xj/jraxrzA3C8KHD3QmTTvDHpL4RAeomYepDzF7B2IgtZSSMRLVyX2aJnau07q8ZM2b4x0UXXeTrFw499FD33/7bf/PeLnm30mPj7o3ugS0P+OOTp57cdMpbf3A/cP3+8i//0r3+9a/3nkkKdkX2hHNDTNHr8HMNJMq4d3B6UBOl1B4h+kdjpXkkfmqgKxU3C6038TCzYPP6rrvuqvxGc5wy4xT/vOelPV1PfQsjGBoQgxNrPnNYWxObiLVzZeeuXdhA74ILLvBtPynmZD8tWnvSgpmJnXogHBaiPe7esK8u8S0zkoh32nzwgx/0z0Tvyk44p6Q1VmoJU2JjmsPCOasRxxLNIHB22B5gOD1I7UFIi+6i7Ii40FhpHImfGizlbdGiRf75D//wD/0ze/i0ApGfKQcn3ZJueTKeGgVFfgYn1pofsM+UleHUKva5mm14UA862RB9pSvW0Ucf7a6++mofRQj3AaIeiFafdIpL42+WEUTPratv9cdzxs1xs8fN9sdpQ4dJYDEuO40Y/e0SjodO/L1GaeVzWWqP7XiP806pPd3H7IiY7q+yo7HSGBI/AUzKv/rVr7xhxaalcPLJJ/vXND1oxbgaNmSYO/XwU/3xih0rfHpJt2inG1fZ4PzYOYplE9EQ8+TG1PAA7FzVjcbYPRfchwPxiU98wjc6gD/6oz/yKW/cw5MmTXJz586t7g/EAmz7A7ERnIR9czy6/dHqvHT6Eaf75ywwA0lzT4LNx1mdj3AMksUQC+H3bSZiwPnC+cHmyBwzzjHo6CKoe6o72Poj8RMXGiuDI/ETQGobKpkBzW7nFOn+6Z/+qX/N+/fee2/lN5vj1BmJ+IFbVnUv+hOmPmgADEwYUYkx8mNGQ2wpX3auGDMHCDPbk6B2/59+YE+q8ePH+2M2fLN9UYB7efr06e6oo46q7nPEPc3eB+yCrXqgxvnh6h/654OGHeROmZ6k6WaBpdrGlILVTcKxkgV2vvk7Mc1h4fdtxWjGCUJLfOtwxd5gOD5IkRWdRWM6bjRW+kfiJ2Cwltat1v2Q9rZgwgJ/TEelbjc+EIMTisOYvKaGiR9bfGIhPFcHfDY7pw0aYu95z3vc9ddf7/cy4N/64he/eMB+P+Q2M7mzR5BN8LTEJsxP1Ej1QAOzec/mai3iommLvADKigcffNA/z5s3zz+XHTP8s4pUsk8WNBNd6QThvNDqZ2Osh6k9zNdPPfWUT3/NSkyK/lHkJ140Vuoj8VOBG4K6HkKE3/3ud/dr1/r973/fv08zhFYXKksnQfjcufZOf9xpQu9fbLUisREazbEZD2CettiuY3iuzPiqYq2uG0wjPPfcc/3ETVtrCjmffvpp3/CgHjRBYIKfNm2aH6uwY8cO1QMNwk/W/MTtfSm51996+Fv9c1bcdNNN/vmEE5IOmGUn6zFs93xszpu0ouoY3KT20OXKxjzprzg+tL51BrvHYoosigPRWDkQiZ8KtLPmJqDLm/VLNwgd8j7G3OLFiyvvNsdJU0+qNj746dM/9c+dhps+a29jUTDDnfMV48RuExjEZNgPKH5sk9NKKlujMGn/1V/9lT/+2c9+5n784x/741q4VtQD0RyBMcxr7nMmeUQQDRR03++DRge2tw+NDuYfljQkSBPON+mKl112mZ9jEbHvfOc7Kz8tN1nPxTb+YqtZtPmKOSycx1qFsc6Ytw5XRIdpqkGKj8gO7luLHKRxHUX2aKzsQ3dsBevy9o53vMM/13L66UnkptXUNxofnNmbbMq4csdKt3TrUn/caczbGFu6VGzY+cFrGuPEHho0MaV2IX5MLO4nyqzeB8aNqxw0Ds6Hj370o/74H//xH33hZn/wGfBwEQkaPXq0f4/rSeQIT5fafibcs+Een/YGZx15ln9OA2ol7XHaaaf5CN4dd9zhx9J/+S//xe9KLvY5CrLwvPJv2viLrR7D5qvQUdIu/Fu1qT3MEdQNyuGRDaENoZqf/KCxkiDx0wcXnGYG3AzW5a0Wur4RAWon9Y2ub2OGJ8XZ//7Uv/tnESfmNY2x3gdCw2E/kREBds6ovakSGngVr1OzfPjDH/bjk2vzpS99aVDRZ7nOCCETiwgfIhEIobLXA1l760mjJjk2Ns0CjCLO/xlnnOH+x//4H+7EE0+s/ESYUyWLvPtw7MUW+TGxl/bn4nxaao85YDZt2uTHe1lTe7IkXHeU9pYvNFYkfjykH/zbv/2b+853vlNNRaiF96n94ff6+53BQPjYpqeLNyzuSttrRX4aw8SPhYdjIxQ/sRnxds72S3uzlDeodGdrhYsuushP2GxuetVVV1XeHRhC/Wz8NmXKlOpETwoc4X7af5ax6JO2+8u2LfPHb+t5m49Mt0tYJ2kPUhS/9a1vuU996lOup6en8psCbC7GiEzb4xqOPWsEEgtZRH5CbLzXpvaoA2S6hOJHkZ98UuaxIvHTYc6YeYY3NMi3v/nJmyvvdg7zNsYWLYgJDAcziGMVPyw2JsJjEz9mbPG5qsIi7NI2iPgxw7ke/NsY0/ycDVAbhfse8RPWA/HZED/UA5Wt9ed3H/+uf6a729uPeLs/Fp0lNBjTno+tKyJiPybDFKebzQlZRqQstYdsDeD82kaPSoNLh9CBanaFyB9lHSu6YztMz5get3DyQn/cjbbXthAq8tM/YcpIrOIH4908p7GFqcNzVj2XYQpcF9NwuP+JHNEe2+qBOH+0/mTC3y9Vr6AQcbb21uxBNu4g1eB0g9BgTFv8xBq5Dh01WUekOL9s8mgbPQIGHVFjpcG1Txgxj0lgi+Yp41iR+OkCf9L7J/55z0t7Or7pqaX9hBOX2B8zHGLzmtZi4me/9LIIoObHolJVMRGmvR3W2CanWYLwqa0HItTPBqlslFrkyOhNT9zkI89gc5HoPGHaV5rOKOZ2mxNiq1kMDanw+2cJHm3Guv09xrm6wbWPXUvmerMrRL4p01iR+OkCx004zs0bn2z0d9tTt3kR1CkU+RkcSxkJjfgYMc8pAiOm8DSeI5s8q+InstQ8w3KeaZHN5+Y8bt261e+CTQFo0cL+dHf7+dqf++OTppzkI9GiO4RzS5rOKISP3bex1fvY3BpGrjsBETBSXtUNLj3svGFTWLRA5J+yjBXdsV3iw0d/2D9ve36b+9GqH/njThBOUkX2breDLdCxprwZYc58rHU/1bbS27cnzzBxYuUgDhgTbI6Kx4t9aICxwWRPPdCzzz7r3ysCP3jyB1Vny7uPfLd/Ft0hNP7TdEaFqZuW2hkLYTpepx1LjPPajR7VDa517J6V8CkeZRgrumu7xIIJC/zGgkAaSqdqf0KDObZ0qRjAcLBJfUwbXck6QZjSEtuEZOeuej6tewz3X6QpEhhks2bNcr29vVXxhqgk75lHbAKzWaj1uW3Nbf6YqI9Fn0V3CI3GNMWPORxIRYot7c2EWZbNDgaDaC+ODhvj1uFKaXDNYfdsN6+lyJYijxWJny7yvqPe558RPp2K/oQ1LKr7ORCL+kCexE/4uWMgTLfxn83Ez/jxyXPEjB071k/4eL4sl53oD1EgokF5jZjiZNn7UiLgbO4R3YN7y6Ifac7F1qbWopixwLgxg7nbogxHB01Pwg5XpPasW7dO62KD2DyoZgfFpqhjReKni+B9tegP6SidiP6EqRZ592RngaU4sTjHPjqG1+AAAHuaSURBVKnz+ex6xnYtmTBNOHgv0bZt/tjlZHd/jFJyni33mdfkOxP6RwSxT1Ce8p+J+tyx9g5/TLdJm3dEd7E5Jq3xSwTYosCxOW+I+tiYiSEiReSttsPVli1bfNdHpcENjp0jiZ/iU8SxIvHTZT4454P+GeGDZzZrmKjs5pX4ORBLGYktV74/LMIS5vnHAGLBzqH/bBb5CSJCeYDxQgQorAfCe/3000/7znB52Qzu2499uxr1sTlHdB9LGUprLuZ+NIERRl9jIEyzxjkSC3i08WzbZ1Ia3ODg8bcoXicbV4juUqSxIvHTZfDCUv8DP179Y98AIUswSs0jn2aeeRFgcTYvRh7FT2whaDuHCMqXTCRE1uygUTjPVg9kiz3nHM8XewTF7EhYs2uNu2v9Xf741MNPVdQnIkz8pDUXh/U+MQkMsM+G8y02g5nxjYNjfCUtl9Se1atXe++2OBDOj4lssydEOSjKWJH4iQA8scOGDPPRn+sfu77ybnZYmFqh/f0JvRex5cv3hxk4LESxNbAI0252WppL5HVUg0E9EKlwYT3QM888471fbAoXYw70tY9c6/f1YY5Rh7e4sCh8aEy2g81hzF9WTxQLYac3+94xwWfq6enxqT2Mba4HdQ3UN3B9xD5Csa7IT/kowliR+ImA+YfNdydPPdkf3/H0HW7ZtmX+OCvSTrUoCmG9T14mdKIrZuTEloLFZzOBsKtSLJmXmp+BYOKvrQdC9CB+qAdCDMXC3evvdks2L/HHZ/aeqX19IsNqX7h/2nVGhZHr2Op9MIgsNTe2iFQtltpjUXUEJePaIldi/xRGiZ/ykuexIvETCez7c9CwRJTcuOJG/5wVJn4U+dkHnqxYuyQNBOLCrmdskR/w57JPZD9z+OHuZby9BRA/RlgPZEYsY4o0ONLhYlgAvvfE9/zzmOFj1OEtQsLC/3bn4zByHZv4YW6yyJYZSjGDQGNc20aPrA+MaRwcYn/HqTm4RDnJ61iR+ImE6aOnu9N7TvfHD2x9wN236T5/nAVhykGMaTrdICwUtpaOecGMCSJXaaTOpMk4xE7fQvly3wK5m8lxypTKT4oD53/OnDl+Q7hqpKvvfmJDOBojpFXP0Sw/furHbuWOlf6YdDcEkIgLc1xAu3NxGLkORVUMhFHpPIgfIKJrGz1aag8GndLg9jnaiPrEmMIoOksex4ru2oig9uewkYf546uXXV3diT1twgU3ti5h3WL79u3+mYEbe1pGLWHUIbZURiI/QyuCbHtPD24if1w0mPzZEG7u3Llu4sSJ/jXQEps0AFpkd1KY7ti7w12/PKkfxLFCypuIj9B4bGcuZuzHHLkOjeW8za+Ma5wbNs9aak8o6MqGrTOhLSFEnsaKxE9E4Jn92Ks+5o8379nsbn7yZn+cNuGEpbqfxONqKUpEffLmyQpTXGITs4jJMZXP9OyUKe6VnHZ7axS+7/Tp0309kF0XPF9sjsoisGPHDv9e1tyw4obqvmEff/XHqym1Ij64Z6CduRgjw8Q1BkhsWEpeXrpo1oJoO+qoo5QGV8Gi2ar3EbXkZaxI/ETGommLXO/YXn/Mvj+0qU0bVLl5piV+koXZQrN5qvcxSCOx62mpLzExtmLwv9Bn+DyXU+OnWXAwUAjKw7xgjDVagj755JN+f4SsoGHK7Wtu98e00T9uwnH+WMSJGZDt1OxZkw3q0GKLrDC32vxqYyGP4BQLU3sAgw7Drluprd0AkW3X086DECF5GCsSPxFy3jHneU8tmxJes+wa36Y2Tbgxrd21an72CQbOSx7FD8LHDJ4Yxc+ha9e6odxnfUbe1ooHuCwQ/SENgIXAFgGuEfVAa/vOixkRacFc8c1HvlltbX3OvHMqPxGxYpH4VsUP95BFrn2NXWSEcxKt4vMOkTU82ybkSOmh1X1Z0uBIsTS7Ic9iVmRPzGNF4idCaH0dNj+4Z8M9/jhNbMEte+SHSdy8pr4+JWcpb4YZFSxM7XiQs2BYn5F/yIYN3HR+0utk7UsMIE5JAaAeiGdecw62bt3qli9fXq03S4NbVt1SbXLwgaM+4GaPm+2PRbzYXBxGSJoh9pQ3Ez8xRqVahWuGU6OMaXChzSDxIwYj1rEi8RMpYfMDNimkgDlNbNKKzVDuNAgf82LlrctbSFj3E50HcssWd8imTdx0fuIri4e0FiI/RIDwhIX1QGvWrPGRoHZbY2/cvbHaJp8mB2fNOssfi7gJDchW5mOaagDCIsZOaiZ+uOctPbcI8F0Yz2z0aE4zDLqid4ML60pNuAsxEDGOFYmfSAmbH2x7fpu7bvl1/jgtbMHFi1M2T3wI3nfAK5nnlAyMHkursuLiaOgTO4c+/XR10rNzXlYwUqkFmjVrVtV4QPgggBBCre738o1l36h2iFSTg/wQGpDNih8M0ZhT3vh8dj/nMaW4EXCa4dAw4cn8m5eNHlvBIj/M55Y+L0QjxDRWJH4ihuYHFCzDHU/f4VPg0sLED8KnVWMr72BoWOE5hkNeU96Az26dlIisRFPLhVdn2zY3rO9cm7QMG0yUGYxBusJNnTq1KlxJgWMxWLduXVPn6O71d7slm5f441Omn6ImBzmCudgiIs3OxdwvMae8hVHeooof4Bqy0aNdA0vtWb9+feHqak2gh/etEI0Sy1iR+Imcc+efW/XgXv7A5T4KlAbteBuLgqWLQIyGQ7NY5IoJJJqW11u2VA6cGx8I7jTrXPIMxsPkyZO9COIe5DXXb0vfeaMeiCjZYJFZUmJpcgCjho1Sk4OcEXrQm5mLEccWRWXsx9h22FLeiHYWvS0yY5fuVpbaw7jdvHmzN+yK5GC0yI9S3kSrxDBWJH4ip2dMj/uzV/2ZPw6NnHZhIbJIR5Ztd2OFwWbih4hJjLnyzYJn1Txx0aS+9U1oxtg+I9/OM+d+MKO+TGD8shiQDmcRPIxbOsLRHWegtABqAs0pcuGCC6u1giI/mCHZTAMaHAjmKY0x5Y3PZpGfsCax6JDag2fbmjuwvjKGo0tHbgGuKZ56sOwRIVqlm2NF4icHnNZzWjX9jfSW+zbd54/bASM5rDcoG2w2aWlF7MhfBLieZjiH7WW7yhNPVA76mDKlGmELaxXEPrh+LAYIIRufRAOsHsgMD+POdXf6B7xx2hvdwskL/bHIF2ZIcq0bdQpY1IeUyRibtWDImDgrQovrZsCYYxyPHz/er7WsNRR3s9lxnp0+4f1ZJkErsqNbY0XiJyfg0aUJApD+tnnPPo96q4TGVdkww4EIWIxe01YxIwPDo9ZQ7gphO8vp0/0EZ/UtZW98MBCIRNqDTukTjBahxdNPKhxdcjAq1z23zkd9gHS3/zzvP/tjkT9M/ISe9YEgomLzNi1k7R6JCRxMwGczp0yZ4Hv39PR4R4Zdn02bNvlNjqOYm1tAba5FFnRjrEj85IRxB43zHZzYuJCOTlcuvbLtzU9t8iLH0jx0ZQDDwdIxrM6iKITeODM+uoqlvU2ahIvaT2zmpabNeBmFd6NwrhA/1APZOWOcIn5IDfhfD/6vagv8Txz7CTdpVN85FrkkTLttZEzYHhncI5MYW5GBx9ZSV/huZtCUERw+RdkU1e5NHFjq9CbSppNjReInR5DWcurhp/pjOr/duvpWf9wqFvmBZnLN845FHFiQi5LyZmBo2HWNoqmARX5mzkye+6DA3wSnoj+DQ3SSwlDqgSw3+oltT7gZu2e4k4af5E6ffrrvDCnyC9fVxsRgc3Fte2uLpMYEn8++BwZN2cGYw6iztF+82bbRY57S4Kw+OLQdhEiTTo0ViZ+cwd4/5uG97tHr3KPbH/XHrWDqGsriged7mkcSb3qMhkO7mLGBAWJ1TV1j1arkeerU5LkPjHmLUNH4IK8pIJ2Gc8ai8OK4F93q51b794466Ci3aOgi3ya069datAyOGOuGNpiXk65IZgTEGPUBqzlE0BUprbgduMZhhyvAoMtTGpyJ7tB2ECJtOjFWJH5yBrn9nz7u0z79jbS3yx9svf11mI6QxxB8K5BHail+pBQVkXA/jbCdd8fhb1vL7VmzkucKdu65FlwT0Rib9mxy//DEP7jb9t7mHn/5cXfkuCPdkL7/MIipBwrvb5EvzKA073o9SFEmXRQQwxYJjAmEmc07fMYiOpjaAacbUVyLnmSZ2pMmOFfMwRLjfSeKR5ZjReInh7CB4dlzzvbHG3dvdFcvu9ofNwteOVtwo9kXJkNCw4FBZZ7WokFxsS1OXa37WbeuctDHjBmVgwQ+oxVBYygpajE4ODuuWHqFb3byQt9/b573ZvfaY15bFbucQzrksEmq3eciP1jdz0A1mIhbi/qwOW6MEB0w76xS3urDtaahSZ7S4EIboYwNLER3yGqsSPzklPfMfk81z3/xxsXu+yu/74+bxRR1GdLewsESa7pIWliqSVe7voVtrqdPrxzsI4z+sKmnGBjSXJdtW+aPz+w907fAZ/zOmjXLP2wsYzw/9dRTfoEoUy1f3jGDkjmq3nXjPavjI6ISqwFqUR+yCsrW4roZwtQeq/eKOQ0u9LYr8iM6SRZjReInx5z/6vPd9NGJUXnDihuqhlEzWOQHr3GRDSXEnRkORH3My1pUzOOKIdW1pgJ9k1OVOo0liFiYAUfaVowLfizg4LAGJ3PGzXEfPvrD/tjgXNIVjmiApRlhrBAFIhqkyFr8hHUU9VLfWOwtIhRr1If7zGoquSeV8jY4rEfsc2LXP83UnjSxz0PGhKXLC9FJ0hwruoNzDPv+XHzCxb4OyFJirPVto4T1IVbMWETWrVtXjfrQbazoEAUwgYcntp3wcMtYs4PeXt/muh5mxGHUYaSLAyHN7arfX+XH+GEjD3MXHX+RH/O14BHj3kYEWQt3rjupUtQDIYK7ch+IhsCotOhd7VyMYyqs9Yk56mNCWylvjcNcTTMT9myCtFJ70sQEOfefEN0irbEi8ZNzesb0uHOPOdcfU/9zyW8v8fsANUrobSxq6huGhHkG8ByUJWRvObKkQXXFi2iRnwEaS7CQ2mJKZI7PKvaBM+Ovf/PXVafGJ4/95KD7+bD/BikCLBB2bjFI165d6x5//PFqJy4RHzYf187F4cIec6MWqzHkHgwda2JwiKbMmDHDj12LrLSb2pMWYR2aCXQhukUaY0XipwCw989Zs87yxyt2rHBXPnSlP24E0hJsMuuKgdwBaAOM4YAnfNq0aZV3iw9CzyaGjtfU4P018TNnTvLcD3ZNuEZcK5FApOcr93/Frdm1xr8+Z9457oRJJ/jjRkDk0ymHPGkb4xQts0CsWrVK9UARYtFavOxmbDIvW9SHWr5YPe/cWxYdwCtrc49oDpxWsaXBhQ4TRX5ELLQzVjQ7FYTQMLp7/d2+BqhRLIWiiJEfogmWQsJAKWqHt3ogbK3xAZNBR+s+EFtmXPf0JM/9gMGHUAOMvCKnXzYDXRytjg8HB00OWoFzSyocEQMzSKnLoB4IsWlGtug+ZljiCLDuWhb1wXkTc9QnTKu08SxaA8dFTGlwoaPEBLoQMdDqWJH4KRCff+3nXe/YXn/8nce/40VQI4SpMUVqeR3WkSB6Yi0SzhJLfeNcWBemjtBnWFep0+ygFkLYVhxNfVbZufnJm93ta273x/MPm+/OO+Y8v7dXq5jhPHfuXG+YWj0QjSbUGjse8GBybQCHBYLCvJgT+8ZRrCm73EvW6IAOb2E6tWgNS+3h0WpqT1rYPahmByJGWhkruosLBEXQFx9/sS+Khv/+0H93SzYv8ccDEXpy6nUZyivc/FZDQiF4GTsPIWwt5amjqW9rklQtDw0PBoFrg3EH3IMY5WXlznV3uuuXX++Ppxw8xX32NZ91Bw1LJ8+eWgzS4EgVMKeHtcZeuXJlocZ/HuH62Hgl1cicN4yP2Gt9bK4t+jYCnQaPNuPV1mmESCfT4BC25hRVHZeImWbGisRPwcBY+tyCz3ljae9Le91l91/mVu2sdN3qB7yJJgw6NaFmDSl8Zuzz/crcechEBcaJeWcz58knk2cM7IqRPRgYTZaWiHDtaJpeJJDmZp3dfDfH4y8etMFBK7A4UA/U09NTPeekG9IQ4emnn1YqXBexhTvsnMbYiNnjHs61sXaiyzOcV4w6W8c6mQYX1p+FjlIhYqTRsSLxU0BIk0EAAZ3fLv3dpW7b8wOnPNmCVRTPr7W2JoUkDIWWESYB+/4di6isXJk8z5+fPDeAha6BxbZszQ/o1vi1B7/mnRY4Ly458ZJqGmtWcG9YPZA5QDC6cYLgQMjasBIHwlyM6OH884zBaQ6MGEE0W50enldL2xPpwnnFWdHpNLiwBlPCVuSBRsaKxE9BWTh5oW+CABhVf7vkbwdsgW0eHRbcLCfSToDxZt1pWIzLPmFj1JoXBKM2c4FLioSl2DWZqkO9gBVLh9ex6OCcuOi+i/yePkBL63nj5/njrGFxQPwggsJCdYqcEaA0DZEI6hzMxZZmhBMgdueNRX34jGp0kD2saXPmzKmu2QOl9qSB/busI6rlEnlioLEi8VNgaH99Ws9p/njljpXuy0u+3K8ACnN5s5pEOwGpXRYxIJ0n5jz5TsIkYGRe+8PmptYdaF7zBvz06dOrUQhSsIqe/rbrxV3u0iWXeicFnD3nbLdo2iJ/3EmsHoh0ODv/OELWrFnj0wbUha8z0HzCxCYpHLZwxwgC2VJpcbDYfSOyhbowxqmJzf5Se9LAxj33oaJ6Im/0N1YkfgrOx1/9cffGaW/0xw9sfcALINJqamGRNe9ino0c0t3MWMZjqsU4getrBe4YV1acnAlhs4Mm0t4MjHDb+4fPaUXfRcTX5f3uMr8/F5wx8wz3/qPe74+7BfcJ0dLaOYGGCDRGyPTeKTlEZXFOMG9haMZubJJGS3SKz6lGB52FsYmzIstNUS31Emz9ECJv1BsrEj8l4NPHfrq6BxACiI0TayNA3BAYO5DXVCPSpGyHcVo8k0Il9mFRMDyDmUZ/ViSGvKNrVYuRN66fRSNp91vE9Ddfj7fkUj8mgb18Pvaqj/njGCByShQOo9aMcIQzrbExstQUIV0Yl2vXrvXPiB887RixaRmyacPnIiUS2E/MutSJzsJcSWpPFpuihv+GxI/IO+FYkfgpARRPX/Tai3wjBKD9db0IkBmbeaz74TPb/jAYbRY5EPswjz6EnaRSx/bp6Ztk2oGCRfPSEHHI2z05EIw9xqAJH6KzRGnb2csnCzj/jKWwHgjRg/ghElSWmqxOsGnTpmo9HoLTotbm0IkNnBImgGNuyFAGEJ5s9Jh2GpyJHxPjQuQdGysSPyUBAXTxCRe7OeMSg7ReBCivdT9M7mF7XkKbSnerj230ivDBeMmERx9NntsUP6S/EXkAPi/XuAjQxpqxZ8JnwYQFPjobm/AJYcEgbWDmzJlVI4iifFJsVq1atd8O8KJ5qJtB/AAOCoS/zWExpiEz19r8wf2gLmDdJ0ztsXun3TQ4E+Oq9xFFgrEi8VMi2Dfk0oWXVgVQbQQozPHPk/jBaDADAY+pNmLrH6I/ZryS+pZ66hKttO3eqQiXdiBMbZ3qMBAzE2wdgrH2ld99pbr5MMIHp0Ram5hmDelNeM2op7P9gbgupMLRaCSzaGKB4ZxZuhvzr+Wl2zzG+W3He58FRI7NoFatT1wwZ7LPiY1P1vJW0uDIpjCnBuNeiCIh8VMyagVQGAFiwbW83ryks4QeU4x6dXcbHDNWMF4wYlLliScqB3200OmtHhjaVk9AamNe96KyGp/7Nt3nX+dN+ITQPZBUOAwtPMIY5xS/L1++3AvU2Iz1mCFyZk0kED5Wu2FzMeLIWl/HAJ+HiAIwLlVbGR/cQ4xPcxy1kgYXiiVF9kTRkPgpISaA6tUAWVQAj0+rofJOgcFAKhSTOWH+sJOH6B/ywu06sximGv15+OHKQR8pCVGuqdX/cK1pvZy3CENtjc9JU07KrfAxuB6MObzMoaFOFINIEM0RxMDQydCi1ghJq9mAMIIdk+BH5Nr4I41Wc26c2LwZrovM99TqNZKmauKHtVX7+4iioVmrpCCAvnjiF6sbKWKUsRHqKyP3eYWIqsQKRnBYBE90wLrVicGZPHmyf8aISTWVbNmy5JmUtxRTJfA8Wr0S6RgIoLzABqaf//Xnq8KHDYg/99rP5Vr4hCCk2Ueht7e3GqHDuGJ8EtWIKWoRE2HUGuPS6tsMzqWdz1iEJPOFdYrkuisdKn4Q1aSq2vqIkCYNbqB7ivXV1n8ie6r3EUVD4qfEYHx9+Q++XG2DvXTrUvdfl/1X9+zLScpbzOKH9CfzmJKCE3pMxeBgtFgqAwZYapEUa3Pdwv4+g0FHKbvO3JuWehMz655b5y781YXVfXxOmX6K+9yCz0Xd3KBVMJJItaE7nBVcc50ef/xxHw1K7R4rAAhCE/B45WkkUS+CYhFafr/RdKUsCesESTGWUZwPENdEaBFCwDXEOcG4rBf5x8Fk7yvlTRSRoammvIjcgQAi/QajDFbuWOm+9tTX3Jo9a3zYO4YFtxaMdYtWMDGrrXVrhNEf80C3BWLE0imOPTZ5Tpkwwof4iTm1CmcCEZ+NuxORdtass9wnj/tkYSI+9cAYpqZs7ty53imBQc8cwnhVPVAC4w3D08QgqUn9pRVZZIXf7XbXNyIGpLwBokyNZfIFY5EUuDANjvFILVBtGlzYXl3RPVFEhqL8RbnBC/2Z13zGndZzmn+965Vd7h9W/4NbvnN5dMXlbKpnHn+62dDas57HVAwOnnozYPDotr1zv6W8QQaRHyCiELYBpuar2S5GnWDxxsU+jZSUN3j/Ue9358w7p5ARn3pwfRCq9eqBiATFeM06Ac7G1atXe886ED0ZyLhkjNr81m2hH9YH4nBS1CefNJIGZ1kfiFy2HBCiaAzFmKToUgg2WfzgnA+6kSNGut0v7/YC6PZVt1d+2n2YpDGe8Byz8M6aNavazlO0BgYqcE5pVdwWtr8PxlyfUZcVLNqWJoQxRvpQIwW8neLmJ292X73/q77JAWLnY6/6mDt7ztmVn5YLrhX1QIxVq18hhQtvM/uPxHTdOgFjzIQfoseir/3BPR62vO4WfGbrAErqqQlakU8GSoNjTFqdnqI+oqh4lxIpL6mkvYjc88GjPuguWHCBGzVilHu577+vP/x1d8OKG/zGjN2EqAQeU/M8EvFRB5r2wSC1BRDPX1upNQ89lDxTuF2JzGQFxpelO3JvYEy3HblqE8TO1cuudtc9ep0fL6OGjfIppWf2nln5jfKCAU89EE0rLGqHMU1XOJxvlgJWZIicWLouHnXSjxqJnpjQ4P7uVgdORJs5nQYTbCIfIKzrpcHRDc7WWYlcUVSGmjeOiTkve7uIbFk0bZG7+NUXuzHDxvhJ8F9X/Ku75DeXuF0vdidVBcMIL7EZt0zW8kilR9iulkYSLdVkkCNuHdjmJHtIZQ01JbavE/cGncW6ZUST3vbXv/1r9+OnfuxfTzl4irviDVdUm4mIpB4Iw7l2fyAcb4gg9pxq6d7LAXw3czASrSZyaSJwMMKC87AWo1NgEFv6M9fP0qVEMahNgyPCSKSPtV/XWhSVoTYJs+jgWe92UaWIg9fOeK37dO+n3aQRk7y3kTa9Fy6+0Hev6iQmfCxHnnawFqkQ6UBOt3lzMXKslW1TkPJmwiOjZgf1QPwggoBUDQSQeS07BU1CLlh8gVu2Lal56h3b676y8CuuZ0yPfy32h/sNBwYGl3mWmWOo3yKCV7Q1CMFi6bqstc2m6xIl6lbLa5wKlg7LZ6fjoigelgbHpqisudyrpL/R4KKoDglRboai7JmMmdgwGjAeJIAE3sbDRx/uLui9wB056kj/3ppda9xn7v2Mu3v93f511tj9aF5HDF0tvtlAhy7z8uGhblpAWMobHHdc5aAzULdkgpi5K0yPzJrb19zuO7pt3pN0wWLz0sted5mP/IiB4X6jHogUVjPuuX6k3SCEilAPRDYFNWmh8GklXddavHN+OhndDOeCsIW5KB5E/xE/dn/ipCAjiDU49g3PhWgWn+uCZ8kKiJlYi+h9E83ju4ENP8SdN/0898cz/ti/R+rbVx/4qrv+sev966yovQ8RPZbiJNKHFCTbRJRz33Tzg6VLk+eenqThQYdBAFlhOAYn0cIsBRA1PVf9/ir/2PNSUhz8ntnv8ZuXsoGwaBwM+zlz5vjxbemXpInRgSrsMJY3SB+ySCTji01gWWtbgbkYEFGdSn3D6cR1ACJ0GMai2BBZJCrJ/WZRWeZTxmJZOzSKYpKsNH1wozM5s/gwwYYed1FOzNs45JUh7qMzP+o3Z6SIG76/8vvuC/d9odrKN00wvjFe7f7Dq6+9fLKHBc+MLPL8G17s6AzUJ1Q9GbW4HgyMSxw49vkRzWZ4pg2pn6S5EfUBxM6FCy50Hzn6I64srazThnUH8UM9kM07XDvED/VA3W7z3CyMHbpnsZbavdnOZpH8v5Yq14lzwecm+sYz16bR5gwiv4TCmppa0lItok7khzWZ8cjvCZF3quIHEEB4UJnkzPOuJgjlhQXXPLF4Md847Y0+pWf66On+PTZx/NS9n3JLNi/xr9MAg4e0pVD42D0psodzbdecOoWGxEOX6n1q4XOTQmUCCAOUBZu5LC3uWn+Xu/BXF/o6H6Cu5/KTLvdNQkT7YOBzDUmHM7FA3QlCgvXIWvDGTG3EJxTl7WCRTYR9FqI+hC0w7FyTEmtpiaK4sObaXMn9aqLXusEhehA/pKVaDa4QeWU/8QOEts3YNENU4c5ywoRnizYeIe6H2eNmuytPvrK6ISqRn0t+e4m78fEb226HbYLb7jcJn86D8WnphSxwtqP7gIT1Pl2K/Bi1AghDMY0aINpYX/PwNe6KB69wO/Ym3tGzZp3lO7qpsUH64IijABvDyzZZZF5gg1REeZqCNk1IE7P7LU3hA2FELMs9fzi3tvcfaXqIH1F8ELzAfRt2U2Udrt0UlXFovy9EHjlA/EBodDLR4sXKcrIV8WKTIPeBiRJS39gQlc0bLc3nxhU3+nbYVvjdLBZWt4gPxg+d3SR8Og/GjnndKXi2a9IvVu+DaKoIp26SdgSINLcv/OYL7tbVt1b37yHN7Zx551TTQEU2sBaRCkc3QuYCvM+kZC5fvtzfmzGl4PC5wk2Y0xQ+wJxoDQeyrPvhOzAf8x3CSLAoNnZPMffXNraotykqjTxIjeRYiLzR76zGTW41QNzceLOY3EW5INXCFr/aKACbN/7dSX9X7WxFO2xqIZpNgyOthVB6mOpm957oDiY8MeQGTH+jI9eKFcnxm96UPEcA9w7Gpy3WRICIKtpeUY1CmhsdDh/d/qh/TZSHaI/S3DoHhhjNOBBBlvpl0QnqgWJIzSYdyIQPn5e0vTSFDzAe7fvjjMzC6KSeyGqKGDutNmgQ+YL50Tq69beHHnNqmAYHRDqVBifyyIDWJRMtBgQ3uhlBLW+CKHIJC7l1+WGCrPWekwZ31RuvcmfMPMO/tjQ4OsJZetBA4JVn8rS2tiy48jZ2nzDdBVHab/ob9T7WkriL9T71wFhkoQ73AeJe4z4ejI27N7qL77vYXf7A5dXNfenmpjS37kHdCa2ieVgNCvMGUT0e3WiNbesi4geYL/l8FjlNmzD1LW3Rx9zO+g6kv6rJTHkIM3sG20CcNTpMg2NeVRqcyBuDWpgIIG50W2zYAFGhznJhCy4Lfb10C1J/zj3mXN8NbtxBycTJXkDn332+W7xxsX9dDyKJGC3mjSfaoBqfeKD2J9z7p276m9X7kCYxb15yHBncU1bHxL1GBGigtKE7193pPrP4Mz6SCZNGTXKXLrzUd3NTmlv3YU0iCsR1tfQchABRIKJBraY3NkttRgRjhbUyy2gJ390cQ2mnvlm6G/T09MgBVSIs2odot66CA6E0OJF3GprduNEJ49vmVyh86oCaTSER+STMAR6ozSrd4L5+8tfdwskL/WsiP1/53Ve897y2FggjxdJEzEPPXj4SPvFg14VnrhMdtw4wLE389PZSlJAcRwjih9Qp+y4YrThyODao7SFqGTY1OGX6Ke7v3/D3bsGEBf61iAOuIxG9uXPn+me7roh0RBDpOOG1TRtEAiLaPObMkayRWXdFQ5BQ+wNppr4h4Gxu53za3xDFB6eWRU2bSdXkXqyXBodtaCJaiFgZdkkfleMBsfQncjsZKAgfRBCTZCOegjLBokQomHNWhE45GBZcc74T1x2R0p9X8ODhB7s3T3+zrwN6YMsD7sVXXnSrn13tfrLmJ27ksJFu9tjZbt3adVVvKeeI1EqLLom4YGzTbYt7GuHDolZNi2DBvPZaLEHnTj7ZuT/4g+T9SGGuwitPlADDmGfu69GHjHa3rL7Fi/Sndj3lf5cI5qeO/ZR7/1Hv9/dt2bA0Ls5ZzIYw8xAGG/ckaxPzE4KA+5UHDru0BYk10DCDkbmLOcwcRJ2AqA/3MPezOSVbhe+BM8D+PZqFMOeLcsBabKnACJlm72PuGcaf1Q2Zbcj7WTsDygDnknPKubRIm2ifpuLaDAoK0TF+AWMI75ftAi2KS5j6NlD0xzj18FN9LdBJU07yr9kF/5vLvuk+9pOPufvX3e/fw7AmTcSKeEWchJ5gJuLq9b/vvmSDU4is3qc/MJRDD/3Tm5921997vbtx+Y3+HgXuXSKYRDJFPiDljOuK4W7XFmcN6xMRS4yHNCCyhPAxzzYRRf5mf86gLMDQtL/XyFw8EKzhnB8EI4In9OKL4hOu5+2Ildo0OIuMalNUESsNR35CMCAwXPGAcWPjYWNxwYiVx6h4kR/gemP4skgysVkR+UCMGTHGLZq+yB057kj34MYH3dZnt7pnXnjG3fvMvW7vsL3uj1/9x270yGwKg0W6MOZZJLn+REwY6yN++lPnHnss+YU/+zNWz+Q4cohkDRs9zC1eu9it3bHWuZedmzU0KVL/8wV/7v609099BLPM5CXyUwsiCAOMdYg5mPWJiJClwWHgtbJGsb5R02ARawQCoqeReTBt+Px8J74fUZuBIvGDQY2GNU5A+DST9iTyDzYc6b+AkGd8tAr3JcI8tA15JiLEfSVR3RqK/GRDS+IHGCQYQEycGERMxBj9vM/NX2aKKH6Y2PASWmibFMhGwuPcG8N3DnevHvJq90rff089/5QbcdAIt/7l9T4VDuaNn+eGDtHEGDMsXBiWCCAWNe7v8T/8oRvSNzG76dOde+97K78ZN2xWevOTN7vLl17uluxa4ob1/Td56GQ385CZ7nWHvM5NGTnFG/utGMhFIq/iB7h2fGYMBeYshIIZYogX5i3u5UavMXMedQzW8IM1jgyIbp4XxiNGEeB1b8Vo5f8nkgVE9qmJE+WC689czlhIq8kF96LS4NJD4icb2rrTuZlJW+JGBwYRrWRrC4lFMbDrDLbwDgSTHy0wuR9GDh3pzpp2lvvmm7/pFk5LGiLQQvj6x653n7j7EwN2hRNxgLPDUl539wn89ZUW6O6445LnyLnj6Tt8B0LuOe49xPihkw91b371m13P2L6Fv0+Ac69yz1o9h8gvRPiIZpAOZ62nEUM0Wgn3FesPHDfr16/36TsYH8AcSCtrxFM3QXiZ86mVtHPub84D4KxUW+vywViwjoHh/ZQGSoMTsdNy5MfAU4DXiGeMXW5sokEIIYylNDwJeaOIkR9gkeS7MZHhTR2oOxseVtJE+F0g7O3rxQ6Z6N5y+Fu8p/2xHY95I3THCzv8ZpJLtixxc8bNcYeNlHcjVlgkGd8vrlvndvdd+xF99/nB73qX67OeKr8RH0u3LnX/9f7/6m576rbqnj29Y3vdp4/7tHvv7Pe68WPGe6MWY5j7FaMAg5Lx24pHvQjkOfJTC/MWRhgGmaXjcJ25xsxjYTdLA3FALYzVQ7CO0Yqf6EgMaxrzrkXiEWbcv4i9RuD/Q/zxzL/DvNxtMSc6Dw5MEz/c12nfA9xb3Jf10uCwDdMUW0VGkZ9saFv8GCwg3OgYRkyqLB4sLtz4ZZtYiyp+DL4fXlEmsNowNoPU9r5gsmMCZGIN9+QAxM9pPae5Q0Yc4lbuXOmef+l5t2XPFnfbmtvcih0r3NxD57qxI5R/Hhu2oG2//373cp/h+GyfQTj25JPdiDY7TmUB9xGi57srv+s33wX27Pk/j/4/3XnHnOd6Dtm3WSmGIwsL388Wau5z5jPmtkYNy6JQJPFjsA5Ro4N4Qehyja0eCLjOXH/mLoQPPwNEE9EjHDj8PBZYW60GibmV+bgRqPPBAAXmZcazKB9saMt6zb1DhDSre7u/NDjGI2NLDIzETzakJn7ADAjEjy0ueBY4ZgEti9IvsvhhAJqwgXDh5H2Ej6UMMekN1MZ6+NDh7pjxx7h3zHyHFz8Yq6QirX1urfvR6h+51btWexFE4wQRDxiPo6++2j3TJ2pf6bu2z/YZjVzjWMY399E//v4f3fXLr3eb9iQ1DQcNO8i976j3uc++5rNu/mHz3bChB35WFn8z9hFACHwWHYxjvjP3c0zGb5YUUfwA15HvwzrFtQ3rgTAyqIGwNtJca+ZvGhsgNGKD9RZxbt9joEi8wXU1wYQQtM1/RbnAJrMxzn2QdaML7lXqhBE/2EaML6Kq2IqMx7LMq60g8ZMNqYof4CZmIOGFQulbFIgLyA1fBgOiyOIH44HryfezBZeJ1DohmdHAooo3qTYyVA9E0AmTTnB/OO0P3cuvvOyNV3jq2afcLatu8ZtPTj14qtLhYmHZMjfippvciL7xvfPEE91LfWOa+4HFrZtj20TPdY9e5wU0QnrYkGHuT3r/xIue1095vb/XBoN7FoPAGrlwT2Nk8sBT2cg9nXeKKn4M5jEEO9+Na4z44fpyzJpFFIjaHosGxgqfzcQan3kgTzrGJjVMwPemwL3oa7GoD7WNFv1D3HfCccW9hrM0TD/FdmDc8T5jUhyIxE82pC5+DDxlGBDc8AwyDAlueCZqBFCMnrS0KHraG5OUiVm+KxMpgxNYgMkhx7BodmFlY8mFkxe6hVMWumdffNat3ZUYsE8++2Q1HY5UuOmjp1f+D9EVfvxjL4BG9Y3ll9/9bvdcJULCGM/ag1iPJZuXuCuWXuH+ZcW/eNEDiB5qyy54zQXulBmnuNHDm2upzr3Ld+HBAo3Hkgf3fRm8lUUXPwaOHNYku76AkWHXltScWCKa9bDUN+ZiPn9/xhH3sG1kyv/DHF22VE6RwDyNs5J7AVts8uTJlZ90BsYUjjLswXBexXYosl3YKhI/2ZCZ+AEWEBZOVD1igAuI4UAaCZMxP4t5YWmVoosfJig8iIhavievEUQUBNM1qN0JbMLICT4K9AeT/8BtfX5r1aDl+c51d7r7Nt3nPfg9Y3rqpi+JjLnxRnqkuj4Lyh3yoQ+5XX1jmbHNmObas6BmzUuvvOTu3XCvu+bha3xND/VixqJpi7zoedsRb/OCuh34Piw43N98P/NWYnAyvxU1kl108UPUGgOQ78maxFzNdcZhx2uuM3Mb15lrH+t15rNZJJ4xyOfnvRDeZ2NWvhc/o35JtRblBbGPQQ3t7u3TKow3BBBCjPmUZ/tMRXa2tILETzYM6ZvkO9Z3kIVkw4YNfhIGFhMGAAZzkUQQBaXW7GHevHmVd4uBpU4QqrbaHiZQanvaFT398ej2R91NT9zkRQ9Gr0EaHE0T3nHEO5QS1yn6jCz34Q/jMnfurLOcO+cc77mjPTQTNJBG0V+dV7vs2LvD3bH2Dnfr6lvdxt2JgQ5Eek6eerJ795HvdrPHza68my7c74xtPJYGRiQNPcLatyLw0EMP+WfGdpHqQrhHETzMYxhcwNrDNcSwYE3id5jjrNMb4K1mnWq0qUAnwQlF9zaovV6stfzMmjeQ6saaK8oLLaeZw7jv586d23XbC1uCBiNmFyJ+WEMUmUyw68V5wXEh0qGj4ge4wVl8LFQPDD5qR3gUQQQVUfxgCNiGaIDhwDHGH9Et6nuyZs2uNb5dMSlwbFZpmOF7xswzfDG7yJA77nDuyiuTY4LGJ5zgDxEGCCDzLqe9CeSybcvcD1f/0Avg8NqPGjbKvbP3ne70ntPdlIM7Y6SzWNMpyQxKwHuKAc13LkIkqGjih/uS9NzNmzdXRQ/XiTWHtJ966w4RfK6zOXmA1Bw6pCGGYmLFihV+PmbNwaDlu/E9MZzwrAP3Z6dTnERccC8/9thj3vYiSsi9HAM4HEjLtHuV8YhQ70YadWxI/GRDx8WPgeFgHjjDRBCDMs+qv0jih+sTFkcC3wvBQ/icQYmxy/fslHA17z9CiGYIIXj9iQSdMv0U3+FLpMwVVzh3553OEX7/p39i0FZ+4Py9wE74GF3cC2yA3E5zAK7z3Rvudj9Z8xO3ckfi2TbYp+eth7/VR/4QQJ2GaZN0BCLZVisCLFCMjbwv2kURP1wb5i+cbeZZBiKTCIHBRAzXmf8fx4/9/wgL/t+YnHWsN6w7YJHXcJ8ioloYukUQ5qJ12NiWsQBHH310VOmPjDU+H/eywdzDWCvzfSvxkw1dEz8GFxUDIjSuMaYJzXPTZ5VKlSV5Fz9m2LHoW6QHTJxi3HGN8Ixi7AILK6K10xAJ+Omanx6QEofwofaDaBAbp4oU4F74yEeS50WLnLvwwsoP9oEgxujiHuL+Z5fvZscwDQzY9JZHbYTvpKknudOPON0de9ix/nW3QehhGNca10SCGCt5TTHKu/hB9HBNmMPC64IBQQSECE4z8O+xTjEv2pKJg45zY+ly3YT78NFHH/Xfle+I08GMSF7TuU7Cp9zU3iOxGtKsIdhQNm4Zq6TVlzUNTuInG7oufgxSSVhcLOwJTNbk0mNENLtYdZO8ih8mG4wFFvgw1cNET62nk1uHEDq/y2KLJ6lbCyz1H7TFpiECEYMQogSkxREpYJNL0SKLFzv3la8kxxdf7NzChclxDaEXmjFABGiwhYu6rt9s/o27fc3t1Q1JDeq5EDwxXz8bO2FaFTAucApgIMcSJWiEvIof1g/EKOtJeB1aFT218O9TD4QxYhA94t/udrTPvPpkVTDucFDh2ccBkad7T2RDOC9nWZeZBrVpcKwffGbGcdmQ+MmGaMSPgerHgAgjQcCFx4hggWFSj5m8iR+iO3xeRI95W4DPj9FWK3pCMDQQrcDA7PbkRPTngS0PeCH00LaH9oscAFGgRdMX+bQ4NUloEkt5o7j/2mux+io/OJDwviAKgue59h5atXOV+4/1/+EWb1js67lCiNydMPEEL3oWTFwQRZSnEYgQMJaYw8KxxHc3EdROKmCnyJP4QeSwbnDeWTfCJc2cZ2nPS5byaE0+gGvLuWLe7AY4obhuJn5YK1uJvIpiYnVh3XZUNgrjuF4aXJ6cMWkg8ZMN0Ykfg4uNJ5VFLcSMCLwWsRWdGnkQPxgM5IOziNcaDBirLOSk7AwmNDHwCKXz73FN8M7EAhEEUqd+tvZn3tAO0+IwpuccOsdvrrpgwgI3b/y83BjYXYFIIF3eSHl74xud+9znKj/oH2r6eAD31IwjZrgVz65wD259sG6EB7gOb5nxFvem6W9yY4bn18tn44vvHxrIwCLG+Ip5Y788iB+8wsxfnOew7opzylzEOsF9lxVcY0RuGO3jb3O++NudvrY4HDCUmJP52wsWLIh2jRSdBXuKewO6laLeKmXvBifxkw3Rih8DwwEhwaPWiCCFASOChS4mIyJm8YPBQGoEojL0TANtXPGS8tyMV8i+L/8PnYZi9DSSFkeThLvW3XVAlAHYOBUhRC3JiZNP7EoRfdQsWZJ0dwOEDwKoAZ5c86RbvWG1Fzor9qxwd71wl3u577+Q4yYc546feLxvXtDuvjyxwfRKbRxjjkU8hDkLBwNzWJZGeivEKn4QGQge5htLiTGYdziXPDo5BxFxIQpkzQWAv89547N0As4HXnJEIOeF+4l912IVrqKzsM8T8w9zDjZJ3tIgsf2oL7YaZIQPdUB5KodoFYmfbIhe/Bh8TBYXokG1ix4DmkGACIpBCMUmfojsYDAw+bFQhzAJskDjCWo1HYd/09pnxmYs1YMOcX6z1I33uSd2PrFfRAiIAB059ki3cMpCL4bmHTpPneNob02bazzJ112H+63yg/0hzfDhZx52D219yN2/5X634pkVbsGwBW7m0Jn+5xtf2uh+8/Jv3Jzxc3wND8KnUy2quw3jhCgBY9EiBQZzBZEgxFAMQigm8YNBj4Bk/mfur3XaMPfjtOH8dTOVBwOFeqBwfeKzsT9QlkaaCR/mX/OGc864p6zttSgv4frMWt+JbSmygDmT8YUjCbivaYpVdIEv8ZMNuRE/ISwuLIRM+rULIcIH44F8Z4RQJz2ARrfFD5MExgIDhufaiBkQ3UHwMKDS8ALZAOXfimHjtEbZ9eIud/f6u92vNv7K7yXD61qIAtE0ofeQXh+hwGAvWoRiQBDMH/0o1p1zJ53k3EUXVX6QtKNeunWpr6+i1mrjno0H1FkN6ftv0UGL3DEHH+PGjhjrpoyb4o6efXTuvI9pwfi0GhXGTC0YsBjyjFEe3XDmdFv8YLAhEjk/tWm5wNyKIcc8H1PUjM/J58ZIC9cm5lqaIqR9z4fCh3+b2jrWR94DvOPcS6K8cC/idIE5c+bkPhUS2w8byxxIzAHsCVTU9UTiJxtyKX4MPjpGBDcGA6JWCAEDnZsGzxuGRCcGSKfFD+eBBY/zYMZCrWcZOA9MFHiX086X5fyTlwt53UyPCBACyAz5FTtWHGDIGzRLICLUc0iPjw71jOkpbgSjkvK2buQet+bc97mHjhjmo2fLti87oLOeQaSM8/OaCa/xYnH2IbPdxnUbqzV8GKz1miCUjdDI51ELwodxy/li/uK5E578Tosf5m7mMKLT3CM4bGqXJu4VDHmcWszn3Y7wDwTfh1S4MMrH52ebAB5pXEMMWv4G54n5nI2FuT/428uXL/fPvKbpgaI/5YQIIPcC92CRjGcT+DwDY4taJuaGoiHxkw25Fj8hfA2iHDzq1bMYLJosCOYxTNP4YqK58sor3bXXXusnHETGn/zJn7ivfe1rfsFLCyYyjCYMBTMY6n1fvhsDxoyFLKNgnH9re81CTPQnZuOkEfa8tMc9+syjbsmmJYMa+4DBT7ocEaLDxxzunxFEU0ZNyU3aHGKP6A01UmwsumnPJrfqzpvcmg2PuB0j+6aK176WG6vy2/tADM4/bL6becjMAVMFzTEAOCYw2LoRnY0Rq280B0a9qZkxbSKIsc05zMKwzVr8MF/xPZm7yONnHqv3ffl+zNU8OM7bnMJ3W7du3X7ClvRiDDWuY6uEzUQYPxhFYdpy+HN+xr0iykd4H+Bsaueeiw3mC8aWpcEB6a84X/Nue4RI/GRDYcRPLSym3DCIIY7rRUIAQ51F1R7si8BzKwbFn/7pn7p7773XG3Qs1rQcxTvBAnjffff50GyzIKj4/8MHAqO/78MCyARnj05OAkxClm7Bd0X8FQ0EAXVCRIUe3v6wW7ur7/r2iaTBQByYEJo6eqqbPGqyGzdinE+f8z/rgEBCuJHWR/MBHhxveX6LFzo8EHib9yTpEVW4z+6/nxuRXr5sC+7fJg0QkYPYo304rxvtlsc9YgsWhpva8R4I4xthwIN5jLmkHsxT4bxlx+2ez7TEjzlq+PzhHFYvFReYryxKT5Sn1TrE2OA6ct9zLgy+IyKo2e8Yjh+uNetN7b/B+cUBx/LOWsTviHLB2MMhyb3A/ZGH9tatgMMIEWQ2EY4h0j2LsqZI/GRDYcVPCIMCT2roZewvMmSwCGNIMGkgkPC4stBwbIOKY5tMvvWtb7mLLrrIzZ8//4AJhpv3mGOOcT/84Q8r7ySeTz4X4oZnjAOOmah45jXHg10ePiODnYWU524aC3ynsqVbkCqHGKKVNulydJLjdX/pcgNBbRFi6ODhB3thBOMPGl8VRYikEUPrT+gvvPxCtXU0f3v73u3+eMcLfYLnhUTw1DZ2aIRRO3a7qfc/7ubtHOMOf8eH3HEnv9d3xmu3DXXokWQcWcqOqA9zgTlyTEAMNjcwFzA/MHcxZ3GemcOY2zjmub/I92Dih7/NPAV8Nh4Y9ox9HiZ2zCDpD/4+nxEDHdHDcScdNp2Ec2atsTlHwPxI7VIj9UD8/6Gnm/EyUOpoGGVlo2GNr3IROiNj39S0XZh/wm5wjAkcsMwreUfiJxtKIX5q4SubARE+bEFqBgYZi/U555zjb9B6hgL/7uLFi/0D4wOjodnTzt/AmOH/x0CwR2zejSKH2ZuBSApCaMPuDT51bMNzG6pRllaFSFbUi0pNPXiqT2Gb9PXrnLvrLixp5/7pn5INTlMirFng/maBLsJi1QmYU0IhhNjgMZjYqEc4h3CMQc6eMcCCiygxRw3wt1v5OyZ0auewooqd/uA8Wj2QrQOcGwQQQqiew4hzjnGHEw+4JjgM+hM+gEFo0R8M35j2YBPZwjXn2nMPMN5odFB0RyRzUtgNDqwbXJ6/u8RPNpRS/PSHRVzMoDBPJu8Ndpre8pa3+EhHf8Ybwuemm27yaQ4DwWLGZGVeWjMWeORhADMBsekp502DtT4IHwQQ0RlSzzbv3uzTzXhNCh2RGus6x/smlLbs2dKvaCLlDBEzdEhiSE4aNcm/R4RmzIgx/vXo4aN9RInfI8LEcRhZOgBSdD70oeS5pstbWmAA4p3kvuH+ZnxgAIrmYY4yEcTDItwc89wMRJnAHC6NwjXk95nHap01zGliH6wxtfVAnCf252HuNDBg2aeF6wisMQiZRkSjRX+4LqQ9dTMzQHQOrjnXHmi1nmbNcezw3cNui0Q885wGJ/GTDRI/DWJGBEYaixHwbFGcD3zgA77RwkCRH1JJMAYYhBgHLF48MAp4z7yueSdsrclgDRdykSOI+Fx+eXL8mc84d8opyXHKMLHj1bZoQl67BcYOzhybszjXzEvhfMY8Zse1kR+bp4Bj5i8zJnjfnDWNGORif+iUSSSoXj0Q14exYdcFxwDvN7pOIIBXrlzpry3ttgdzvon8w7UuWvOhZmG81KbBIYDyaItI/GSDxE9KUPPzuc99zh133HEHLEwrVqxwxx577H41P0UG44qQOwu3BmyOueSSpM31qFHOXX998pwRGGksVtw7QJoOm/HJmO4OnW51XXaYK60eiGMwkWpOsVZTeNiCAIGFAZinPdhEaxBNX7NmjT8uW9QnhLFD9It732D8MI7y5GSW+MkGWRYp8Z/+039yxx9/vHvwwQerezuQn43wISJ09dVXV36z+OBtwssIDFoeImcQuXvggeT4jW/MVPgAqQkUZZP2AyxYjB3zeAtRZBD5GGakpiH88VjjECDbgPmTznetCB+wfYWI9G3ZsqXyrigqdo3DdbiMMKZIDw1TRKlHJoVU64qQ+EmRH/3oR+6CCy7whtvPfvYz9/DDD7tFixb12ZAPtNTmOs/gXbEJx1LgRI64807yNZPjt7wlec4YPNwIIKv5IW0DAWT1J0IUHUQKER/GAvMnr3EI4EB7/PHHW3Ik4VggdRGYi2X4FRfrCAkIH1uDywzOhHA7BcaQ1hWhtLcMsCJTBtu8efMq75YPtVrNMRde6Nyjjzo3fbpz3/gGSdOVH3QGak7w0tn0lMd0hTyjtLfOg9FKiprV/lBDRcSHOdTSQQFjjrq4ZpoXYPCRPgOq/SkuCGTuI6U4HgjZOHnsBqe0t2yQW0BkRmisUtArcgKtyhE+sHBhx4UPcO/QyjdMV8AwtA4+QhQJDDKMHBM+NDzAW43IIRUunEvJLKCgnTm10fGA4cQDSMvWOCoeRAct6jNx4kQJnxpYSxD9YS0pTjYagigaWj4kfkRm4JkcP368P7ad6kUO+MUvKgd9dCjlrR4YgEQM8YADizuNNHQfiaKAN5oahLDdO57ocA8fnk0E2b5pREQx3BBBRIYaSeDg3wD+jmp/igXXn6gGcL8gfkR9SKvGsWCZKAhGpcGVD4kfkSksuOZlYXJWlmUO+NnPkue+BcI/ugjCh4WKVB/AY42xSO2C7iWRZzC68DrjGAKMVkRPf2k4OJPYOJqHpbyRDkd6saXGDAR1PzaOVPtTLIjmWdSQKKGiPgNDHR0pZOG6QrdR9t3COSCKj8SPyJSw4wyLPd57ETFLlzpXaZPazahPCAs5HXvY/BEhbV5ODMewFkKIvEAaJ/ev7UOCFxpjzCI7A8HvEAUihceMXDqLIoDCmqF6WOc3DDzby0nkG+ZDu5Zl7/DWDKwltd3giIgyjuQYKD4SPyJz8ETZ5CKPfeRY1IeW06eemhxHAqkcc+bMqbbDRkyT9hPu4yBEzGBUYVzVNvMgumn3dSMgYDByKWrnOawHIoWHf7+eBxuRRRMFIFogIy//kPYYRn1srRWNQfQHx0O4rigNrvholIjMwTtpG60p+hMxdOa7++7k+KSTqJJOjiOCdB8MRfNukq6At1vNEETs0NQAsW7paaR0YnS1022KuZUIELVx1tAA0YP46a8eiFRkRX+KQXgNmRsV9WkNnAKsK1ajzFqyevVq1cYVGIkf0RHC7jN0KVL0J0Luusu5ShpObFGfEDybGHwzZ86s3lN4vGmGoCiQiA2L9lhTA6DoOhQs7WI1DKTwWD0Qf7dePRA/NyMvjBqI/BHWboUdAUXzsK6wHyNjiHUFG4UaIGqB5FgrHhI/oiMwmVi3IRZbUi5EZNxyS/LM3j7HHpscRwzpO9Q+jB071r+2KJB28BaxUBvtoSaDpgZhu900IYWH1FCiSeYYsHogxJeNC2tEg4FHlEjkD+Y7i0wQuTBBK9rD0uCsGxzpb4xhxpEoDhI/omMwOdsuy0R/6uWkiy5BowMzgs44A7WaHEeOGZN47MzYo3sWi1W4mZ0QneT5558/INrD/BeK9axA1CB++FtEmCwaYEKMNKmwMB5HlNrH5w+uo0UkrJGFSAciqWF6NY11rFZPFAOJH9ExbFEGJhNC9iIS/v3fk2cExCmnJMc5AsOS4m+MPcDgxPBkwZLHTnQK7jsMJHbaN0GBw6dWoHcCBA4RptCLzefD8cTno+bIok+kxykVOT8QwTPnTtjEQqQHYtI2RbU0OMa20uCKgcSP6CgYp5bnjvhRq+IIoAHF4sXJ8cKF5JMlxzmDBYqFin1QLMKIAUpLYYw7LVgiSyziiIFk0R488p2I9gwE+/vgxTYjDmg8Y4KHB6nI1P+IfBBmTkybNk1RnwzBZiGV1DbbtjQ4RUvzjcSP6DjhTuMUFIouc+edJJAnx6S85RzbB4UmG2YUYNhZKpw83CJN2KuHzlB4hK2mxrpHYZhmUdvTLIwDjLh58+b56Lt9JuZgIqN8BwxqOQjiB6PbGrtQn5JW0wzRPzjTaFCiNLjiIPEjOk640ziTuDwoXeanP02e+4y1PDQ6aASMOzZFZcEyrzsLFqlwpPyo3bpoF7ufiCxyPyGqMZLoFsV9xzwXG5Z6jHOAOZjXeLQRbczFGHRyDsQL14Z7jmeuHeJadAbOd5gGB4gfxowyWPKHxI/oChimNoGwW78W3C6xZIlzq1Ylx297W24aHTQKhavUW2CQWiqceeoxWlUPJJrF6mYskshrIitEGk1UxI6JNFJEqRexmgaK6PlepMWJ+CCCTTMNIKXS5jTROYig4tywNDict2yKKiduvpD4EV2BYlyMBWChVevrLmFRH+p8/uiPkuMCgkGKYRqKboQPAojW2BJBYjAQOXh6EQdhpy1rtsG9hXc4T5AyRXoeIshSRJmLiY7SNl4t4+OB+y3c0NQ2Dhedh/NPHZDS4PKLxI/oGqHniuiP8s07DN32rNHBokWESZLjgoJhiuDGUGVDQDNUKVRHBGHsyeMtakH0WJtojBsTBAgHPMB0ccu7B55UOCJBeLOZhy0Nzr4z50B0F9ZIu/dsnybRPXAWkAbHuLFrwVhRN7h8oNEjugYTBpMHMFkwuYsOQtTHJukCNDpoFCI/GA/WGts83hh7eLzx4CmFQTAnYcw8+uijvs4iFD20jw5bSBcB6kdIE6VhiImdMNplRfai84TZEaQp5iG1sixwLXCCaFPUfCHxI7oKxejWrYZ8Zk0YHWLvXuduuSU5Pu4453p6kuMSYfugkL5gxd+A8EEAkceNwSGvd7lA9NCG36Ie5sUlKkL9GCliReywhVPA2ibzXRFB1rQB4UdkVHVynSdscsC1UZOD+GC8kD6KMw0sDQ6HrtaPOJH4EV2HtBEzPNX8oEPcdRdWfnL87ncnzyWFhYvUBSJBpGLavUhjhDVr1rjly5fvZwSLYsL1Zu8bIj3MQ9bBCQHA/YFIxlljkcIiQg2DebBxAuAcIDpvaX1WJ8d5skiYyBYcMJaOS3oi9SYiPpgXGC+WBocdgxMFEaSxEh8SP6LrsLBa8SaL65YtW/yxyJAf/jB5nj7duQULkuOSQyQIryqNEbgfrTECRnCY/mTdlkT+wStLPQ9RPh5En81Ti+gh0oNHl8hgkUVPiEV/LOKAN5sxgeFt58D2zWJcyLOdHThc6CwIrJNWYC/ihbmCOYMUUkC4MreQDifiQeJHRAHGJh54YEFlx3GREffd59zKlcnxW99auPbW7YKRgQFIJIhn83qboYzRR4c4pcTlF6I8RHdM0PLaILqD8cLD9ogqE6T00cEOiP5wn+PJRvwQ/aLmBLj3masZD9o3KxvCCCRzkTlkRNwgfJg/GEc4DBCxNEJAyCqzJQ4kfkQUsLiSXsFEwaJq3i6RAdbemvzkd74zORYHgKGBKGdXfCIAGIXm+aZDHClxjzzyiDee1SAhfphXiFhghNDYgpQUS2W0a43g5VrHuEFpJ8HQJhIKCBwzwHFQzZw50zd7MGcVKT22b1YoIkV7kAVhTQ4Q4WpykC+waUjpJxXOUqlpVY7jzMaT6B4SPyIaQo8jnYXUXSgD2NCUyA+UoL11WmB8YPDh+aZdtnlgLRpEXjcGNcfK744Hrg/CFIFKlIdaFdJPzPvKnIPTBYGLwa96igTub/YtAu7ndevW+WOD88ZYCHe7x1hnDHCuNQbag/uWe5X7FMOZe1PkE2wabYoaHxI/IipIrTCPYxjyFynxgx/sa2995pnJs2gYFjCMQoxlClvDAnhyu83IRgwhhJS+2XkwGDEsMNhpVmHXwqI8VmNIHQuCljoK88yKfRBpsLQ/HFG1NQvc99QDhS3jOfeWGkrtplJ8WoOopNUWhinhIp9w/RBAtd3giKpqjHQHzfgiKjBMEECA95DJQaTEtm3O3XlncvzGN6I0k2PRNBjLGIekSGH8cc+Ge75YtMGMbwxBNUrIDjzl1J3UnnNznhCd4HohdhA9eNJlUA4OUTEThpxbznMtnFsiQJxX2mMDv4f4VD1Q85A6iPgBakcQPyL/MI7CbnCAfaM0uO4w7JI+KsciJfCQMYGxKGjiah6MSLzoeM05jyyoVnQu2uBf/9W5ZcuS4wsuSGp+RNswzkkDIoKAp5x7lXvXDEVEPDVCeMQxBFnoWPyIcFrUKDbM6cD34hEjzBFEJKgPJEpsLYHtvHOOuR6TJ0/2RjzpJ6S1xXrOY4R7mwdrGueV6JlFg2rh9zjH3C8Ife5zfp9rREocdVT8jugfogDsp8T8wX1KfZVSMYuFbSSMg4zxwfrA3IXdU+9a8zN+h59Z5Ei0z5C+waaYW8qQq0thLUYQ6TGieRjseA1ZcK1zinlLRAvgff3Yx3ArJpuafvnLlR+IrMAAZB7AcMSYqZ1qMQRZBDEWucdZ/GIxzB966CH/TETLIrHdBmMagwEhyYM5ohbmCM4jRgJGuoztdAg3N2UuHqwhBPc6Yh9hamKUextnIA9dl/oQrbT6KmoLre5KFA/GBdeaNcJgrsVZE64DRLGZ91gniFyLdJD4yQCJn3Qg9I9HF2IywnLJjTcmD7jsMufmz0+ORUcIoz9EM+tNuyaGSMdiocOI75bgj0H82Dlj4eecISYHOm8IHoxyOUnSB/GOM4rzjweaFLdGhDqebaKI3Pd27Yh4Tp06tdoGWCRwjimExyjmHNNQQvdy8SEySudQGx/M/aTGWe2zxE82SPxkgMRPepAPiwHEIsDAxyAUTdK3qLqPfpRCFNy2zv3d32ExVn4oOg0GoUUveNSLYBhEhHhg1COKOiWIOi1+MPwQNyZ0SF/jPNUDg5nzgODhwbGM6OxBxFg6JN5pBEyjcG3xcnO/G9zXRDYw6soOZhhrHfc/sNbpvJQH5jsEEOMEED4IIO4BiZ9skPjJAImf9GAyoH0q3jDOJx5HecOa5NZbnbvmmuT4wguTFtciGjDyWdwwDHlGDFmqUD1YGBFCCCIMSLzEvE5zXGQhfvhOiBx7MLZ5IHYG+r58LwSOfV8Ej9KmOg/XiLnYDDSaffRX/9MfVqPF9TdoRIGQqlfvUBZCYUlEjP1hRLlgfJHpQpTUYO5lTZD4SR+JnwyQ+EkXCv7wigD54trzoAkwMv6f/4ccQufIH//GNxT1iRwWQTyBGJkmivqLgoQgEphzEEcmkBAJPHjfjnkMJpSaFT/U4/DAqOWzIuB4zTOveZ/Xg8FnC4UdCz6fXcRBGs4oTA5qWzD2TfTyb1g9ULP/Xt5B/FNTxbng3qclctnOgdgHtiNRUhsbzKHM5zh9JH7SQ+InAyR+0sdCv6S3MAFgHIkGuOMO5668Mjn+5CedO/XU5FjkCoQDBedW+2LRk0ZEUX+woFq6mIkig53IAfFRO9b4LLYw8/ftuFn4ewgcEzs881opbHETRinocEgnvVbAqOPfwbllZghrJs4tokFlgO/N2mbNJGbNmuWNXFFumOfp+sdcz73BHMtYY1sFkQ4SPxkg8ZM+LJTW/Q2jDY9jaKyJOmAYf+ITzhE1w3tP6pvOWaGwaEv4YKzYc6vYhpaWUtcKeK/5/xmnzIUc2zMiR+M3v1gtJlCb0I5YwdBjzSTaaSC6SYUrupOLvZMszakdISmKB7YOaXBkveBkYr5EHNd2gxOtIfGTARI/2cA55dyCFooGCKM+55zj3FlnJceiNCCOeLB4WsSGZ6b9UBzx8zCKNFDkB+eDpeWwIHPMeyZyeNj7opjUpr+RqsU90Crcj0SAqAfi/jTo4IcIauffjhU8+kR9+O7UtJHRoDEjalm2bJmvlWNOZS5mTg67wYnWkPjJAImf7CAUzEQAFIVSHCrqsLem1ufrX8eNX/mhEAMT4z4/Ii7CFr0YZGnUIyCm2OIA8W2mCUaf1QMVxeONwEM84oBA8CAeW42wimKDQCYSzz1jTUEQPtYNTrSG3AwiVxx++OFeVAJFgaT3iDrcc08ifOB975PwEUKkCqlu5nyiHpMmBu2CEEBsk9bMv4/YISJJRIi057BVdp7BQWqRVyJbEj5iIBgXREFtvCGEEEXUzCl+0RoSPyJXMAng8QAWRSJBeAtFAOlLtqHppEnOnXJKciyEEClCcwJzRlGfYIX77YKHm3meaJJ5u3F0UWvEI89OL7JCrKaO5gakcAvRCGS7kO5v6ZGIH8ZDmCoqGkPiR+QO8l4p+gOKZPEKioDbbiMslhy/611qciCEyARS0mbOnOmNMTzQOKPC2rF2Ya4nCoTBZyKL6A9RIJoFpPm3OgHrFRkLwLnDmFXxumgGxPKcOXN8nRgQdV2xYoV/Fo0j8SNyCakClu9KuoUGfgXOg0V9qPU544zkWAghMgAjzPZeI5WLCFCaIA4w+BBBPPMaoUWXtOXLl/vnPKT+kKGAYLNMBRWti1YhGkpU1LosKg2ueSR+RG7Ba2bh39WrV7fV2rcw3HKLczt2JMcf/KCiPkKIzKEewboCktYV7lKfFsz1RIDwepvRR+QHQUHzgNgdYHxOa+c9ceJE7ecj2sJKAKiDVhpc80j8iNxCGgSLoRXFIoBKXf+D6Ln55uR49mznFi1KjoUQIkOYg0l/C5vRpFX/UwvNATD6ent7q3+PvYLwfJN2F2M9EIKQVt5AxoJFyoRoFxwPOASsaYbS4BpD4kfkGrqfWMFomE9dSu68EysgOT77bEV9hBAdw9rvWv0Pzqgsa3LGjh1brQey9DHab2P44QGPpR6IPZEsFRCxxjlSnY9IE9LgaJeuNLjGkfgRuQcvWphyscPSvspEWOtz3HHOLVyYHAshRIdgHqYeEzDAaOmcpfGF0LICcBxhiAqi/xh9NEVgPeim8cdnMRHIZyU6pjofkQVhGhzNNEBpcP0j8SNyDwseg94GPBvv4W0rFd/9biKA4CMfSZ6FEKLDIEbMGYUjig1LswZBQQ3o7Nmzq41wTHzhAc8qBW8wSMOztYgIlXXoEiIrSINjHFhKqNLg6iPxIwoBAx2vmnn+sk65iApS/W69NTkm4jNvXnIshBAdxup/LMKB99n2tckaxAVdsBBC9vcRPitXrux4U5zwe9PgwDaoFCJrqP8hJVSbovaPxI8oDHj82B0c8LYRASrFQP/2t9kBMKnxUdRHCNFlEB62/w+EEZBOgNE3d+5cvx7YZyAKRSoc+8Jl3RgnjHghyCwVUIhOwX2PE6C2GxyOgDxvEpwWEj+iULD5qRX94XXrRMpFV+mbyNw99yTHp57qXG9vciyEEF2E1DfrataNaDwGH+IHD7itCXwO1gTSgGiOkAWIPKt1IhXbmkAI0Q1Ig6MZwqhRo/xrGkNlef/nBY1IUTjwdFhuNZ6OQjdAuP56Nrug3YtzH/hA5U0hhOg+1P9gfEEoCjqJdVgjHc4MQDzfRKPwgqdZD1Qr8vi7dOISopuQBkcdkI1F7lPu/3DT3bIh8SMKB142Ui4K3wCB1tZLliTHZ53l3KRJybEQQkQChf6dboBQD9Ki8YDzeWxtQPhQC8EWCWlEpcL0PlLdtJGpiAXsIhzDYRocmxFz/5cxDU7iRxSSwjdAYLIi6gPjxjn3rnclx0IIERHdbIBQC5+FaBT1QKRI85pI1JYtW9zy5cvd5s2bW/aEh9+LNLtJckaJCFEaXILEjygshW6AcPPNrm+lTo7f9z6+bHIshBCR0e0GCLUQ+SEyQz2QRWdwjrEZKalwzbYFDiNaGJV41xFWQsSI0uAkfkTBqW2AQAQo9wKIGqYf/CA57ulx7owzkmMhhIiU2gYIMWy+SD3OrFmz/MNqc/bs2eNTgVgrOB4MPObmWENUhSJPiFjpLw1u1apVpdgUVSNUFB4GtzVAQACRnpBrbrhh34amZ5+dtLgWQojIIeWMB7DnDgIjBk8z0R+iQESDrB6IaM7jjz/u14v+PiPiiCYO/BwDEuGjBgciT9SmwZVlU1SJH1F4WJTw7JkAIj0ht/mta9Y4d/vtyfH8+c6ddFJyLIQQOYCGA5ZuQ8OBWNKRSVMjUwARxOezeiDED/VAeMXDz0maXCje+F6kWguRN2rT4Ij8EJnl3s99pkw/SPyIUmDpCFZ0i7eOQr9cQcOGK67Y19r6k59U1EcIkTsQCmPHjvXH3ewAVw/WCLIF8IabmMEYpB4Cj7itG9RIWJcsakttN30h8khtGpwJ/6KmwUn8iNJg+z3g0cNbx6BuJKc7Goj49C2+njPPdG769ORYCCFyBHMwc3G4H9u2bdv8cSyQBsTeQOFePTRpIBVu6dKlXrQBooeIkRBFoDYN7tlnny1kGpzEjygVePKs6BZvRm68Goi0730vOaa19bvfnRwLIUQOsRoZq7EhGh9jOjINc+bMmeOjO3xmHGYYhBiDeMenT5/uxZwQRaEMaXASP6J0TJw4sdoC24puo98D6MYb97W2PvdctbYWQuQeovG9vb37CSDqgGID0cOaEUZ4eA+IBCHailobIcoJ93e9NDhawRdh03iJH1FKWMis6xCLLRGgGLoO1eXRR5275ZbkmCYHJ5+cHAshRM6hBTYRIEtHxsMcYz0maXkbNmzw6UDUK+FE4zNT90P9D0ZhrtKohWiA2jQ4xiaCf/v27f51XpH4EaWltuuQtSyNjuuvT5ocMPl8/ONqciCEKBSkI1Nbg4eZOZhoPFH5WCDNbd26df6YhggYg6TC4RW3JjpmFNIYIabPLkS71NsUlS6N0dpMDSDxI0oNAgjPI5C6YAtcNNx9t3NLlybHZ52VbGoqhBAFY9y4cdV6TMQDkZQY6jFxjFlLayI9RKmsUQPGIK2xSYfjZ6QG0RL7scceK3SbYFE+atPggGhoXtPgJH5EqWHBIufcFjMGM567KBYtuglddVVyjMcF8SOEEAWFVOSwHpN05G7WY2LUhSnRCB9zlhnUK7E5KiKIzVKB37f6CKJGQhSF2jQ4Uj3zmAYn8SNKj+0BZO1M8dxt2bLFH3cVmhxYe8nzzkvS3oQQosAgfiy9hlSycCPRTlIrvvB4295E9WD9YDNtHraW8PmpYeKhVDhRFIqQBifxI0QfdB1iTwfL316/fn13BdADDzh3223J8QknOHfSScmxEEIUHIQGLaaBltKdFkCWdmebmNLO2gy9wSD6QxSIlGrrYkf0Z/ny5T6rIPrOokI0QH9pcHnZPkTiR4gKtW1Xqf/pyr4TLLjXXZc0OaClNa2thRCiRGBUWYoZ4gGvcifSkTHcwoYLRKLo7NYMpFOTwjd37lz/HNYDIYJi29BViFapTYPDWZGHTVElfoQIoPaHtAUTQLQw7bgAuuEG51auTI7f9S7cjsmxEEKUBLzJzMVhQxpSa7KMABGVeeKJJ6qttmlkYDVIrcA6QgQI45CGDsDfQMghgoq2a74oJ/U2RWUcxdz0Q+JHiBoQQGEEqKMCaMUK5269NTmeM0dNDoQQpQUBFDakMQGUhUGFKAk7V4XNF9oFrzh1pWE9ECl1GIisL6oHEnmnXhoc4od6txjT4CR+hKgD3sauCKBvfCNJe+Pvku5WWSiFEKKMMAcjGkwA7dixw8/HaQqgesKHOh/S1dKkXj0Q6wpRIOpM81IsLkR/5CUNTuJHiH6oFUB4HDMVQN/5ThL5ASI+8+Ylx0IIUWLqCSDqctIQQJ0SPkZYDxTuD7R582YvgjqWZSBERuQhDU7iR4gBMAFEGJdBiwDKpJ9936TgbropOabG533vS46FEEJUBZDVAO3cubPtCBBGWa3wISqTlfAJ4fuwP9CcOXOqne34PHwnNklVPZDIMwOlwcWQ5inxI8QgsNiy6JoAolg1de/cFVewW1hyfP752tNHCCFqQDCwJYEJIEuBayVdDKFBW97aiE+nwUt+xBFH+O9Fx1HgM+Epx9lm7baFyCP9pcHhvOgmEj9CNACLLYtTJhEgGhwsW5Ycn3aacwsWJMdCCCH2g6hMGAFCADW7uSKeZ4SPdXXLOtWtEcaMGePrgWiyYJ5y1hiiQBs2bFA9kMgttWlwpJoy/thOpFv3tcSPEA1CvnmtAGp7I9S+we/++Z+T40mTnDvnnORYCCFEXZiDQwFEJL7RjVBtA1MTPuzh023hY/C9ED+IoPHjx/v3WGs2bdrkRZD2BxJ5hXubFDiinFZHjf1EhLMb3eAkfoRoAgQQi64NXjwXeOVayjt/6SXnrrxyX7rbeeclm5oKIYQYEBNAREyAjVDxJuNV7g/SycKaAxoOTJs2LQrhE0L6W09Pj/eWW5MHPjMRrscff7wq3ITIG9S3UedmaXDcy6TBPffcc/51p5D4EaJJrAbIBBBeOdqUNs0tt+xLd3v7251buDA5FkIIMSgmgMaOHetfU0/QnwDCuAqbGxBhoeFAbMInhLWGegmE0PDhw/17GIsIIIRQDIXjQjQL4h5hT9QVwm5wnULiR4gWsBQ4K1AlfNtU61XS3b773eS4bxFWupsQQjQP4oVUGuuYZiInFAZEhYj4mCgi2pPWBqadgBQ4WmOH9UCkwNEaG+eb6oFE3uA+Jt3UHMnYToifTqXBSfwI0SKEbfFe2I7dTXUeuuYa3JTJMZuZqrubEEK0BIYU0RETQJbexjNNA8J6IITPJOorcwbf0eqBrHAcg5G0a+qBMtmCQYiMYeNf0uAsvZPoLfdz1t3gJH6EaAMiP6Ql2MBFALHoDiiAvv9955YsSY6V7iaEEG1jESATNgifRx55ZD/hE/48r7DmUDiO483qnYhy0YCHdLhO104I0S6WBlfbDS7LTVElfoRoE9t7wvLO66VdVFmxwrl//dfkuLfXuY98JDkWQgjRNpbSxv44zMU8ED8zZ86sRoaKgG2/gBCy+lPqgVh7yEDoRgctIVoF5wX3MuPU7ucs0+AkfoRIAVISevvEjC2ue/bs8R1MrLjWQ745m5myaR2D+9OfVnc3IYRImVrHE97jgbrA5Rm85bX1QLT+ph4oS8+5EFkwbty4/dLgcF5gS5EOlyYSP0KkCGkVVkjLYosXrjpor7/euTVrkuOzz3Zu9uzkWAghRNsQ4SHNjWYA1GISjaemAE8y3dFa3pYgcvh+rDuIIJoj4EXnXCB+qJ9ADAmRF2rT4LLoBifxI0TKsAjNmDHDHyOAqAHacfvtSWtrmD/fubPOSo6FEEK0DdEeal6ouwQ8x8ccc4yvybQ0GjqjURszYE1mjqEdtu0PZI14SP8jDQ7jkYwEIfKApcGF24qkmQYn8SNEBkyYMMFHgUhDGPrMM+7lf/gHt2fXLvcKO5J/8pNJ2psQQoi2ITUG4WNpxqQfUw+D0VS7LQFREAyoujWZBYHvTFc4nHD2vclA4BytXbu2sCmAonhYNzjbFJX7OI1NUSV+hMgIFuDZvb1uyo03umF9A5bFdtN73+temTat8htCCCHawTpsmjeYjROJflj9C2A4YUBZdzQaA4T/TxHBc44TDhE0efJk/5qUv61bt1b3B1I9kMgDlgbH/QxppMFJ/AiRIaNuuslN6Ftk8UDufNOb3MZ581IL2wohRJnB+LG91RA7iB42TsTQr4U5mAiQ7SpPlCgND3LscF6mTp3qRRBedCDyY/sDsQGsELHDfUwk0zJqEO6Mf1pitxLJlPgRIisWL3bu5pv9Qnzwcce5vTQ56MO6lxR90RVCiCywxgYYPxhBGEMYRRT7DwbiiHbYzMvmQSYaUnSoAaJ+gkdYD0QEjAfHQsSOpbRaNzg2QyWS2WxTD4kfIbJg82bnrroqaW89apQb8pd/6XqPPvqAsG0ZFl0hhEgLIjZhY4ORI0f6lBjbZ60R2OjUCqkRT9TB0A2uDGlgRH+sHsgKyYn+EAUiGqR6IBE7CJ8wDY57lgjwunXrGm5mIvEjRNqweHztaySjJ68/8xncjd7TyIJj+ehlW3SFEKId8PKyfYA1NmBPEIwgK4ZuBup/wkJq2mOXJSWZtQjDkdbYPPOaNYg6IEQQ50JrkogZs6foCIc9BVu2bPFjuJFmJhI/QqTNddc5t2xZcvz2tzt30knJcQVSM8LuQ2VadIUQohVIcSPVzSITbClAqptFL1rBCqltc+qypSRz7jAgaQduzSBYh3DIEV1Le2NJIdKGvYCIZJoTg2YmjGEcJQMh8SNEmixZ4tyttybHc+Y4d845yXENhG3D7kMsttqMTggh9sdShMP6npkzZ3rxg/e3XaxeiKYA/Hu1f68MYDjikOM8WD0QewJxHkgnUj2QiJnabnA4SGiEMNCmxhI/QqRF32IZ1vm4z38+ee4HvG7knZN/zqJreatF3YVcCCGawSIxFoGw+h7S3dKGdtBhHRDih0YAZaqBIQKGUw5haRE1HHJcA85HUTeHFfkHJ4alwdm9SxonabL10uAkfoRIAxbIyy5LGh3A+eeTl5EcDwCih85DtugCA7Zsi64QQoSQDhzuxdNOfU+j1NYBpbWhYp7AiET8kEpEShFrFKIH8aPsBBE73LPhGLY0uNoUTokfIdLghhtc3whLjs8807lTTkmOG6S/RZfUAyGEKAtEXag54WGRhjTqexqltg4IrzHpX2XrzDl8+HDvRScdbvTo0f49zgXZCZyPMglCkS9qxzCO5NpUVokfIdqlsp+Pp2/AuY98JDluknqLLiFbtcMWQpQBurhhpBD1AQxwouJp1fc0itUBsScQxxhMdObE8C9bRB7hw7qEEOJ6AM451iYEqhr1iBixMcyDY7BUVmwriR8h2mHdun11PjQv+Oxn2U2u8sPmsQFrxbd4Pm3RVb61EKKobN++3XcYs4gCRjfRcPal6RYTJ07crzOn1b+QSlM2rKsWtVEmRBGppMKRqq06VREjOJMR7zaGLatG4keIVkHwfPWr+/bz+eQnnevpSY7bxIpvbRdjFl0WGTajE0KIomCNXtasWVN18NgmpBZp6CbWmbM2Ik9jmrI5pEg7xDGHCApTijgXWp9ErFBOwD0bdoOT+BGiVRA+fYug59xzD9jPp12oA8LryL5AwKJLyJbQrRBC5B0iKER7rIge4xrRQxMYS1WJAT4XEXk+F1EPohzWmKaMaV+0w+Z8sD5ZnSrtsDkfPNQaW8QG80m4KarEjxCtcOONSa0PLFrk3OmnJ8cpwyDt6enZL98a8RPuci6EEHkC8cA8Rn2PGcpEEvDOdjPNbTCISLEhqEXkbX82q1EqGzjoOB8YldaMgugP54R07bLVR4n4IX2TNDiJHyGa5e67nfvud5Pj3t6krXXGXYisfWO46OIxJU9eCCHyAhFs67xE2hgOHhoL4OSJIc1tMIh0YDwxJwMGvnWnK6OxTySMdKK5c+f6Z4uM0ahn+fLl/ln1QCImGMMSP0I0A+2sr7wyqfeZNMm5iy9OGh10AAwDFl0MBWuGQJ48hgQGhRBCxMyWLVt8VCBsasCcRmMBK6LPA3xWawNtgs2K/8u6Dw6RHyJARIKICAFikAgQmQq1+6wI0U0kfoRoFFIbvvIV59h7h0gPnd2mDL6RaZqw6FoHInY7B+teomJTIUSMUBdDLci6deu808bmMep7rGYkj9j+bFb8z/ekecP69etL1wzB4HqyPnFtqQ0Cartw0q1evVr1QCIKJH6EaAQm7K99zbnNm5PX55zj3Pz5yXEXwGOKh832v8DDhnHBwqsokBAiFoiIkP5kzhmL9tgeOnmHyI/tJ2LtdDf3rRNhhKuMULtFDRfd4ew679ixw58XRLDqgUQ3kfgRohH++393bunS5PjUU50744zkuIuwoCB+8LCF+1CwuFALpDxrIUS3sNoeamEs2mMtrK12sUgQ/Qn3JeL7k+5V5sJ/rjnbNlibYV6zLln6o+qBRLeQ+BFiML7//aTJARDtOe+8zBscNAOpFywuVoBrtUAsvEoxEEJ0EoxZmhlg3FqdB84Zoj2xtbBOG2vVTRTIvqcV/pe1Fgi4/tQDcQ8Q+QNSBBGGpGyrHkh0GokfIQZiyRLn/vVfk2PEBXU+lTzmmGChtQJciwKRZ40BgiEi75oQImuYc3C6WCc3INoTdqosA9a2e+zYsf41kR9Skql5KXNaMvcAAghxaPVAbNlAhFAp26KTSPwI0R/LliUNDoieUJT7N3+TdHiLGIsCYXBYikGtF1YIIdIEoWNdvRBAgHGLM4Zoj+0BUyZwQvX29nqnlH1/q3mhJqjMDikTh2E9kKVsb9iwobTNIkTnkPgRoh7r1jn31a8mwgcP1ec/79zs2ZUfxg2LCQYHHjbzrpH+hneNdDgVmgoh0sIMeqvfwOlCLSLRHmt5XGZIR2YPHOsIh2FPN7hQKJYRqweqPTebNm3yaYI0ylDGgsgKiR8haiFCQsTHdu3++MedO+GE5DhHkGKAd41ca/Ou0QjBNp4TQohWIUVp1apV+6VykebFnIP4sTlHJLVApHrhkLItChA+bFRNxKzMkQ7rlldbD0SjDM5PmTvmiezQ7CRECHv4sHFp36Lu+eAHnTvllOQ4h+Bdo8tObf65pahoYRFCNAOGOqm0FKrv3LnTv4dx39PT42bOnFmNNosDqd2iAHBEETkj0lFmrAV62DJ8T996zDpFPZCa94g0kfgRIuSKK1zfqp4c09L6fe9LjnOO5Z/zMM8jwoeFRXsuCCEaAbFD+izix+YMNisldWn8+PFVg170DxExxE/okCJyRqSDvdrKnAoHVg8URg+pB0Jsqx5IpIXEjxDGddc5t3hxcrxgQZLuVrBCXRZb8zzawsKeC6TCqSucEKIe5ighzc2M83Cz0jI2NGgXImQ4o8LOZ2wES6oXtZll7nxmArG/eiDqzIRoB4kfIYC9fG6+OTnuW5DchRcWTvgYtrCEBcl4cRE/LLzqCieEAGovKM4nImEpstRoIHjo5GY1GqJ1MO6Zi4mgmUOK2kwiHXSFUz3QEf5eG0XH1T64J6kzU5RMtMOQV+TqTR3C1+Tvkmo0b968yrsiWu64w7mrrkIBuD5V4Nxll0Xf0jpNEDvUALHfgsEu5bQhLdPeHGIfDz30kH9GJPMQ5QKDG8ObqLClt5HSRgt9OnSZkS7SBcOeNORwQ1TsCMag0grpQbTNi/EwTZtuepwfqxMqGqSZskbjqEQEinTQDCbKDWluofChy1uJhA8wqZIKF6avWPoFQl6FpkKUA3yhVoAf1vWQLkuKW7gvi0gfi3TMmjWr6niyeiDm41AUlRFrG04TH7sPEUREycreMEI0hyI/GaDIT05YutS5v/3bZC8f0r+I+JDyVmIwdvD4hpvwWcc4vL5F9a6J/VHkp1ww1km1oqYidHZggOMUUXpbd0DsEJUPIx1cC0Ro2fdQMlGIo87gfmWPuyKdG0V+skEuHFFO1qxJojws9OQSX3JJ6YUPEPlhYcXLSy46wgfDiPSXWm+wECL/YDzSzCCM8hKBwIhUXU93YQ4m0hHWA1F7hUFc9poXHHFEyIiUWT0Q54NzQ2OOMjeMEIOjyE8GKPITOX0GvLvoouQZ2Ndn4cLkWOwHiwk51mETBAQSizGRIKXAFBNFfooPRjStg2vHNuM6NLZFHFAPRGSOtMTQbCMVjDqsMu+vxPngvIStsLl/OS95v5cV+ckGiZ8MkPiJmFrhQzvr005LjkW/MPkigkJPI95hDKUw/1oUA4mf4sIYJq2VdsG2/JtDg4fV/Yk4ITqHCCJN0a6fUpMTiPawToX3NueDKKa1zM4bEj/ZIPGTARI/kUJBJC2sTficfbZz739/ciwagk0OSX0LRRDGki28MpyKgcRP8cCAYuwS8bFlH6cFXcS4xjgzRH6gOyfXMzT0EUHjxo3zqctljgSxPtE1z9qzA+KB85K3NE6Jn2yQ+MkAiZ8I6Zs8fHrbihXJa0QP4ke0BPd3bXG0vMfFQeKnOJjo4dnASLZ0qTJHCooAhj7XF8eUwfVF1DIXWz1M2cC0JTrGuQnrf7jvEUF5EfsSP9kg8ZMBEj+RIeGTCUwdeB1phhB62MybLMMqv0j85B/GJg6KelFaxufIkSMr74oiwByM3RGmwwFGM2OY5zJCDRDjIOxgyjggU4EHQjFmJH6yQeInAyR+IqLvOrhLL90nfKjvOe88Zr/ktUiFeulwJoLwtGmz1Hwh8ZNPMPQwfin+3rNnT+XdZCxi6CkqW3zq1QQB6XAIX4zo2A3+LOC80BAh3CuJ1ECiQDHXA0n8ZIPETwZI/EQCER9qfGhrDaeemjQ40OKfGXgfiQSFeehQdu9j3pD4yRd0AmPcse5wbJDag8GLA0JR2HJBqhf3BELYOqABET+7J8rYqAYhQT1Q6BxgXWI/qxhTBCV+skHiJwMkfiIA4ROmukn4dBREkNUZhFMMESAWXjxtZVx484LETz7AgMPAxZsdGrisPUR5GGsaZ+UGMUzKFzZJuEcbEUAEEBHBsjW7YE3ifBAJsnNidXBEgmKKjkr8ZIPETwZI/HQZCZ9osBSMWuPMFl6MszJ3JYoViZ94YckmsopHH6MoBOcCxiwpTmVMbRL9YymRCKGwUQ33SZgSVyYQPpyPmOuBJH6yQeInAyR+uoiET5SwyFgKRpiWA4cccoj3UjO5y0sdBxI/8UEaE+tK7RjCQBs7dqxvMKLaOtEI1GjilAob1QBpXxaZL1NtGGJw7dq17tlnn628k9QDzZgxw69P3UTiJxskfjJA4qdL9J1z94UvqMYnYphu+vNas9iy8BIRUjSou0j8xIGNF3uEy7XqeUS79FejiaBGAHF/5W1fnHZA/CCCwsgY4gcR1K01SeInGyR+MkDipwvURnzU1S16Blp4megx6pS+0x0kfroLxhdrCGlK4R4lgDFKpJRojyKlIg2433BIcc+FdUFANBEhxHxchmgQaxHnIZZ6IImfbJD4yQCJnw5TK3zOPNO5c86R8MkJpPAggBBC7FoegncbAYSxp31JOofET+dhHFAbR0oSjoGwRg6Ro7bxImu457j/EN1EQULzkHsQwc19SDSk6E4phA8CCFvOzgPCBwHEOOzU95f4yQaJnwyQ+Okgfed5v318lOqWa5jk8UCy8JbdA9lNJH46A8Ym97qJnlDwAPe8RXl0z4tOghi3aFBt9JF70ebiootxOirSGjtM0+5kPZDETzZI/GSAxE+H2Lw5qfHpm5g8Ej6FASMQgxAPJF7wcJoyD6Q9ZBSmj8RPtrAZMNHOemltrBsW7VTtm4gBBDo2TX8CnfuViBD3blHpVj2QxE82SPxkgMRPB9i40bmLLkqe4YwznPvYxyR8CgieN4QQj3DhAYQQHkgWXmohVB+UDhI/6YOIR/DwqHcfY0gheHQfi1ixFGXm4lqnFGCgMxcjhorolOL7WmvssB7IWmNn8Z0lftIHh5PETwZI/GTMypXO/e3fJilv8P73O3f22cmxKDQsuIwtFuDatDgTQiy8LBS8Fq0h8ZMOLLIW4SHaUwtCh9Qh7lvdryJPIOCZi+s5pRAEzME2HxdNCHWyHkjiJx2sno37lWeJnwyQ+MmQu+927uqrXZ9FkbyW8CklTFsIIXLS66ViYEiSEsfCy7MMy+aQ+GkdmnbYAkvUsnaJRfCYUVjkNCFRHrjPsXkQ+bVOKTAhxFxcpHu+Xj0QeyVNnz7df+c0kPhpHe5F5mIeOJ9CO0HiJwMkfjLijjucu+oq7ujkNR3dzjorORalhQkO7zo52f0JIRYOy01ncRIDI/HTONxv3Hv2qPWCA50KMf5Ia1ONmigq5pTC2GRODjfjNRD/PBBCRUnx5PsSCQrHPuOdSFC79UASP83B/WdzMeK01h5g/uXek/jJAImfDLj5Zueuvz4RPkwmn/2scyedVPmhEAlMdAgge9TzQrIYWUQIISRj9EAkfgYGLyKLLEYJi2ztAguIbe4xCW5RVhgfiCAetY09gLnX5mLGS56jQpjSWdQDSfwMjDk/mY9Z8+sJbu4r7jEEKfcZDlGJnwyQ+EmZG25w7jvfSY4xIujwtmBB8lqIfmBqY9GwkDdeoFosNx0PJAXnGKlKkZP4qYUFlYWV+4h7qnY/KoP7CGOOhzq1CbEPxg5jqD+PPGCYMoYsUp9HMcRcQRSIFEAzrxE+rdYDSfzsD+c0dDxxX9WTMUTbQ2Fde94lfjJA4idFSHO7/fbkuG/w+z195sxJXgvRBFZ8bl6ielMfwsdEkE2aZaTs4gdvIoYa9wkPxE69+8U8ihgmPNiUVwgxMBahx3hlPq4XoQcTQ8zJjK88OaaYNxBBGOkG34d6IL5To5Rd/DDvInC4VwYSzrZ2Mx+zfg+2dkv8ZIDETwrgpb/iCucWL05eH3ZY0tpa51OkAIstEymLCotwvZQMwGPHQsVEWqbIUNnED9efe2EwscO1N880D+6LItQsCNEtGGeMOcafjcF6Y49xxnjjYWMvD5Gh/uqBEEGNOEvKJn5YmxE4fOeBxA7YvWCPZtZmiZ8MkPhpk75z5yM8K1Ykr3t7nbv4Yiyx5LUQKWNpcQghJt3+PJFMrggghBBpTRjCRUxvKrL4YSG1621ipz/xy/VmgeU6m0exDOJXiG5B2hhj0jz9jM3+zFRSm8w5Zd7+GJ0RzDmbNm3y9UD2XZhHmFsnTJgw4JxSdPHDPBzOxzie+hM7do0t2t5Ova7ETwZI/LRB7eal1PZ8/vNJypsQHcImZPNE1uvgZTABswgjiHhGDDFJ5zkiUBTxY15Erh/XkuP+ojpgYoeF1Z4ldoToHiaGGL/MyTwGGr/MwYxdHhzH5LBgHlq7dq0XdQbrBfVARIPqURTxg6Bh7rWHzcf9CR0wscN355FmpE/iJwMkflqkdvPSRYuc+8QnkiYHQnQRjGiiQkzWTNoDeacAQcTEzeIbPvKQpgF5Ez/hwoqBYcc8BlriuB62uOJB5hpJ7AgRL4x1BJAJIubkeh2+DJxQzMWIDJuHu+2gQvywPxDzk8EcNGPGDP/5QvIofvheXBeiduFc3F9GBTDvck0svZzv205kZzAkfjJA4qcF6m1e+oEPYEUmr4WICBZgJncWMYsq9Jc6FcKcUG8hjk0UxSp+OO+c52YXVmBxNW8wCyvXodbQEELkD+YDxBDPPAaKDhmhg8rmY555dEIU8fmwE6kHsrmLv0saHHMun+/OO+903/zmN93vf/97N3v2bHfuuee6008/3f9uDDAHs/5xzpmDzfHUyFrIubfzb/NxJx1PEj8ZIPHTJLfe6ty11+JeT15//OPOnXZacixETsD7aAuALcS8HihCFGLpczyYO1gIbEHmuJMCqRvih/OEEWDnkQWU15xPezRzLhE6Fs0Jz6MQotgwT4TGOE4qngdzkBjh3GtiiGfeo0kBj7QEEp8JAYTNaOY489fll1/uvvvd7/poEPMY68nGjRvdO97xDvetb30r086SfA7mYT6bzcWcU5uH+SzNzMWcO+Zjcz7x4P1uIvGTARI/DdI3iHy05447ktd96t/X92gPH1EgzDvGIhI+WFyamX5ZkFlEWDRY+FhAWIBtMTaBxHsct7O4pCF++G4snraQsljagmrPnBd7zXlq9nyYgWLPPDrtQRRC5AMz5nmEc7IZ941i867NxzYXm9PK5mOegefBxBKfg1Q4hNrNN9/s/u7v/s4df/zx1X8D+Iz333+/u/TSS935559febcxbL3h3+A82He2eZfzEc7LzZ4PvjvnoXZObuS7dwOJnwyQ+GmAvvPjvvIV5x59NHlNK+u/+RvnZs9OXgtRcFhcbAHmOVyMWYDSwBYeHnbMYh0KI/tZyFNPPeWfKcJlo7gQW0QNWzz5PvwM+PzNLJ79YZ+NhRRRk4dFVQiRP5jHiGiE8zDHtfNdq4QOKXNS8eA4hLnztNNO89GeiRMnVt7dB7Yl7bPvvvvuAz4br5l3ec9+xuu01hMTejYHMyeb6MnbXCzxkwESP4NAY4Mvfcm5zZuT1yec4NwnP5kIICGEh8WLBdg8dLYgM2WnuSjXg+YOYGIjCzAG+PdZUE3gMGfa+7zmWAghugniIZyLzVnFHMyD4zTn4gULFrg3velNBzilgM/y85//3C1durTyTvuYk4n5l2fmXx7Mv7yHyAkdZkVA4icDJH4GgBS3a65JNjGFM8907pxzcCkkr4UQDWNePYu+hFEY3jeBZD8D3uPnhv1uSH/ixxbJEOY582LyM55ZKFk47bUd8749JGyEEEWBOdbEEHOqPdv7zLE27yKWwH4vhHka4XPMMcf46E8tiLDf/e537t57763OrwavbV61Y5uX7XftNXOwPZdxLpb4yQCJn374znecu+GG5LhvwLk/+zPn3v725LUQIhqKss+PEELkjY985CPunnvuqdvaetWqVa6np8f9z//5P9306dPrCiQxOHK9iewhynPJJfuEz6hRzl18sYSPEEIIIUTAF7/4RbdlyxYvdML4BBuk8vjsZz/r23mvXLnS12fWRo/E4Ej8iGyhvod6niVLkte9vc5dcUVS5yOEEEIIIarMmjXL3XXXXb7hDI0NiMQvXrzYC6Ff/OIXfebTCdVUNZofLF++3LfBViJX4yjtLQOU9lYBwYPQsY1LaWH9hS8kkR8hRLQo7U0IIbrPr3/9a7/J6ate9Sr3hje8ofJuUhtEFMjqM4EazcmTJ7vx48fvVwskDkSRH5ENN97o3KWX7hM+739/kuom4SOEEEIIMSiImYULF7pp06ZV3knAud7b2+vrgujGBjRSwPlOOhxpcaJ/JH5EuuzaldT3IH7oIMXGpbw++2zcEpVfEkIIIYQQ7TCmz8aaM2eOmzFjhu/cBgifxx9/3K1evfqATp4iQeJHpMeyZc594hP76nvYsPTrX1d9jxBCCCFERkyYMMGXWUyaNKlaD7Rjx45qPZC12RYJEj8iHW65xbm//ut9G5eedJJzf/M3rm8kJq+FEEIIIUQmIHpIjzv66KPd2LFj/XtEfhA/jz32mG+OIBIkfkR70MaapgbXXkvCabJ/z3nnOfe5zzl32GGVXxJCCCGEEFlTrx6IBgm0xX7iiSf8RqllR+JHtM6KFUkb6zvvTF7TFeqyy5L9eyq5p0IIIYQQorOE9UAIIti1a1ef6bbCd4orcz2QxI9ojR//2LmLLnJu3brkNXU9l1/uXJlbewshhBBCRAT1QKTCTZw40bfAZoebrVu3lnh/IOf+fycj0zr1UjApAAAAAElFTkSuQmCC[/img][br]Bisogna dimostrare che C esiste. La circonferenza di Apollonio interseca il segmento AM nel punto K in modo tale che AK = (ad + bc)/(a + c). Infatti AM = d + bc/a per costruzione e  AK/KM = a/c perché K appartiene alla circonferenza di Apollonio.[br]Verifichiamo che AK ≤ d cioè K sta a sinistra di D o coincide con esso. Infatti:[br][center]d − (ad + bc )/(a + c) = (cd − bc)/(a + c) = c(d − b)/(a + c) ≥ 0[/center]perché b ≤ d.[br]Inoltre KD = c(d − b)/(a + c) è minore di c. Infatti:[br][center]c(d ​− b)/(a + c) − c = [c/(a + c)](d − b − a − c) = [c/(a + c)][d – (b + a + c)] < 0[/center]perché un lato del quadrilatero è sempre minore della somma degli altri tre.[br]Possiamo quindi essere certi che nel secondo passaggio la circonferenza di centro D e raggio c e la circonferenza di Apollonio si intersecano in un punto C.[br][br]Bisogna ora dimostrare l’esistenza di B. Consideriamo la disuguaglianza triangolare CM < c + DM.[br]Per costruzione DM = bc/a e poiché il punto C appartiene alla circonferenza di Apollonio AC/CM = a/c e quindi CM = AC c/a. Sostituendo nella disuguaglianza triangolare si ha AC c/a < c + bc/a e quindi AC < a+b.[br]Possiamo quindi essere certi che nel terzo passaggio la circonferenza di centro A e raggio a e la circonferenza di centro C e raggio b si intersecano in un punto B.[br][br]Abbiamo così costruito due triangoli ABC e CDM con lati proporzionali e quindi simili. In particolare ∠ABC = ∠CDM   e quindi ∠ABC + ∠ADC = 180°. Il quadrilatero ABCD è ciclico.[br][br]La costruzione determina il quadrilatero in modo univoco, tuttavia, se ignoriamo l'ordine dei lati, ci sono, in linea di principio, sei quadrilateri ciclici diversi con lati di misure a, b, c, e d. Tutti hanno la stessa area data dalla formula di Brahmagupta valida per i quadrilateri ciclici convessi:[br][center]A = √[(p − a)(p −b)(p − c)(p − d)],[/center]dove p è il semiperimetro del quadrilatero: p = (a + b + c + d)/2.[br]Tutti e sei condividono anche il raggio R della circonferenza circoscritta che si ricava dalla relazione di Parameshvara / Lhuilier:[br][center]16R[sup]2 [/sup]= (ad + bc)(ac + bd)(ab + cd) / [(p − a)(p − b)(p − c)(p − d)].[/center]Il quadrilatero ciclico convesso è anche il quadrilatero convesso di area massima costruibile con le misure dei lati date. Infatti la formula di Bretschneiner relativa all’area dei quadrilateri convessi:[br][center]A = √[(p − a)(p − b)(p − c)(p − d) – abcd cos[sup]2[/sup]((α +ϒ)/2)],[/center]dove α e ϒ sono due angoli opposti del quadrilatero, ha valore massimo quando cos((α + ϒ)/2) = 0 e questo si verifica quando α e ϒ sono supplementari.[br][br]La seguente figura dinamica permette di visualizzare il quadrilatero ciclico, note le misure dei suoi lati, al variare delle misure stesse e a partire dal lato di lunghezza maggiore. Utilizzando la barra di navigazione si può ripercorrere la costruzione geometrica.

Information: Costruzione quadrilatero ciclico - 1