Importance sampling example
ggplot2 and gridExtra are used for plotting, tidyr for manipulating data frames
library(ggplot2)
theme_set(theme_minimal())
library(gridExtra)
library(tidyr)
Fake interesting distribution
x <- seq(-4, 4, length.out = 200)
r <- c(1.1, 1.3, -0.1, -0.7, 0.2, -0.4, 0.06, -1.7,
1.7, 0.3, 0.7, 1.6, -2.06, -0.74, 0.2, 0.5)
Compute unnormalized target density (named q, to emphasize that it does not need to be normalized).
q <- density(r, bw = 0.5, n = 200, from = -4, to = 4)$y
Gaussian proposal distribution
g <- dnorm(x)
w <- q/g
rs <- rnorm(100)
# find nearest point for which the kernel has been evaluated for each sample
rsi <- sapply(rs, function(arg) which.min(abs(arg - x)))
Self-normalized importance weights and the expectation wrt q
wr <- q[rsi]/dnorm(x[rsi])
wrn <- wr/sum(wr)
(Ex <- sum(wrn*x[rsi]))
## [1] 0.3731862
Create a plot of the target and proposal distributions
df1 <- data.frame(x, q, g) %>%
pivot_longer(cols = !x, names_to = "grp", values_to = "p")
distr <- ggplot(data = df1) +
geom_line(aes(x, p, fill = grp, color = grp)) +
labs(title = 'Target and proposal distributions', x = '', y = '') +
scale_color_discrete(labels = c('g(theta|y)', 'q(theta)')) +
theme(legend.position = 'bottom', legend.title = element_blank())
## Warning: Ignoring unknown aesthetics: fill
Create a plot of the samples and importance weights
samp <- ggplot() +
geom_line(aes(x, w, color = '1')) +
geom_segment(aes(x = x[rsi], xend = x[rsi], y = 0, yend = wr),
alpha = 0.5, color = 'steelblue') +
labs(title = 'Samples and importance weights', x = '', y = '') +
scale_color_manual(values = c('steelblue'), labels = 'q(theta|y)/g(theta)') +
theme(legend.position = 'bottom', legend.title = element_blank())
Combine the plots
grid.arrange(distr, samp)
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n5VVdX19fXN5suTfH19W1twfz8/M2bN/fp02f69OmdD8PT01PhNfAcx5lMJiLS6XRardbZ4YBtJpOJ53l3d3dnBwK28Twv/XFQo9Ho9XpnhwO2mc1mjuOkB6mg65nNdO40nTlNpwvo/Flqs6VbcyoV6fRNfy4ZhiHeShZLGwsxDfVsQz1bVCAvQwGBFBFN0b0oIor8m3eCA13CYrGYzea2K0LAiURRlO511Wp1y4aooBDS7beHhwfDMM6OBWyQryOWZaXm20pmf/U7KTyB9/HxIaLKyspm06uqqojI39+/tQWLi4sFQcjNzZ0yZUqzjzIzM2+99VYieuutt3r37m1PGC6REksJPMuynXxeABxHegYeJ0ix5MdPcB0pGc/zVqsVJ6grWTmhIE84mSMU5osl5+mPh9hbYry8GV8/8vFlpH++fuTuwejdSK9n9G6k1RKR1Wqtrq4mIp1Odyk/FAQymUSTkYyNoskoVldTdZUo/aupEisuktX65zZEkcovUPkFOnyQiBhPLyaqpyo2ThXXj/H1c/CBuIoIgmA2m3EdKZbcl4RKpcJpUizp75U6nQ4JvDLJCTzDMN3sOlJ0Ah8ZGXn48OEjR46MGjWq6fTMzEwi6tmzZ2sLurm5hYaGNptoMpmqqqq0Wq2U+WvQSA8AAK5WYlWlcPK4cOK4kJ9ru5Jcr1eF9mCCQ5nQMCYkTBUcSh2rCVSpyGBgDAYifxs3uYIgVlwUS84LZSViaYlYcl6suPhnkHW1YnamkJ1JRExwqKpvP1XffqqoXsSyHYkEAADA9Sk6gR8yZMg333yTnp7e9O/EtbW1WVlZWq12zJgxrS2Ympracty4ffv2LV68OD4+ftGiRQ4MGgAAQKnEqkoh8zCfeUgstjEUK+Ptw0T3UkX3UkXHMCGhpHL8WLMqFRMYxAQGqSj5UoT1deLpQqEwXzxdKJw/S388dS+WlfBlJfwvu8jNjU0YoBqYouoddyUiBAAAUBJFJ/CJiYlxcXEnT55cunTpggULWJY1m82LFy/mOIQSVZ8AACAASURBVG7cuHFNnyXetm2bIAjx8fF2tooHAAC4eoh1tULmYeFohnCmiJr16qLVqfrEqeL6qWL7KqGZOuPhySQMUCUMICLiOKGoQGopIJaXXZrDaOTTD/DpBxh3d1X/ZNXAFFXPGEITVgAAuDooOoEnogULFixcuHDPnj2HDh2KjIwsKCiwWCxhYWH33Xdf09nWrVtnsVjuvfdeJPAAAACXCIJwPJs/uE/IzWmWtzMBgar4RFVcP1Wv3sptka7RqGLjVLFxdPMUsbJCOHlcyDkm5OdKj82LDQ38/r38/r2Mjy87eJgqdRjj02rvtgAAAN2D0hP40NDQd955Z9OmTYcOHcrLy/Pz8xsxYsTMmTOV35cgAACAs4iVFXza70LafrGutul0xsdXNTCFHZjC9IhwVmwdw/j5s8NHscNHkbGRzz4qHD0s5OVKXe6J1VXWnd/Trh2qPvHs0BGqvgloWg8AAN0Vo/AB0sAeZrO5rq6OiAwGA/60oVj19fUcx7Ux/CE4F8dxNTU1RKTX6zFKmWI1NjaaTCY/P+e39FYoURROneD37BZOnWha5c4Y3FXJg1QDUlRRPR3a2txGL/QOI9bXCVlHhIx04XRh0+mMlzc77BrV8GsYA4bttM1oNDY0NAQEYJQ+hRIEQRqDSavVenl5OTscsM1kMtXX1/v7+6MXemUSRbGiooKI1Gq1NLRZt6H0GngAAAC4PKuVz0jn9/4slpb8OZFhVD17s0NHqBIHUnvGmHUJjIenVCcvlpXwB/bxh9PI2EhEYm2N9Ydt9PNOdtAQdtRYJiDI2ZECAAB0me72cw4AAHBVERsbhN/38vt+Fevr5ImMh6dq0BB2yPCrIX1lgkPVt05VT7qVzzoiHNgnFOYTEXEWfv9e/sBvqvhEdvS1qp7oIgcAALoDJPAAAAAuSWxs4H/7ld+7m0xGeSITEMgOH8UOHUkajRNjcwK1hk0ezCYPFkuK+d9/5Q+lkZUjURSOZwnHs1TRvdix41Txic6OEgAAoFOQwAMAALgYsaGe/+Un/vc9ZDHLE1WxfdlR16r69L3Kx1RjQsPUt89kx03kf/uVP/gbNTYSkVBUIKx/X9Uzhh03UdW7j7NjBAAA6CAk8AAAAC5DbGzgd//I/76HLJZLkxhGNTBFPXY8Exrm1NCUhfHyVk+8RX39jXza7/wvP4o1NUQkFOYLHyxXRfdix09CGg8AAK4ICTwAAIAr4Dj+t93Wn3/8s8G8SqUakKIedyMTGOzUyLqGURAKjKYKztog8PU8X23lG3neJAhE5K1Wq6T/GfJVq8N1uii9zs2eseK0WnbkGHboSD7td/7nnWJNNUm18R8sV/WJV0+6lQnt4ej9AgAA6EJI4AEAAJRNFIWsI9bt34pVlZemMIyqf5L6hkmum7rnGU0Ha+uyGxqLTOZCk6nQZCqzcO1aQ5BWE6nTReh0fQ1uyZ7uKR4evdz0th8eUKvZ4aPYISP4I4f4H78XKyuISMjNsZw6oeqfpJ54K+Pn3wW7BAAA4HhI4AEAAJRLOHncuv3bpoPDqRIHqifc7HKpez3P766uOVhbn1ZXf7CurpKzdnKFFyzcBQuXXlcvT/FWs8keHime7mO8vcf6eHup2f9ZgGXZQUPYpEH8/r38rv+KDQ0kisLRDMvxbHbkaPW1N5CbWydDAgAAcDQk8AAAAEokVpRbv/tayMmWp6gio9hJk11rRLTcRuO2yqrtFVW/1tRYBLG12dxZtqdeF63Xh+m07iqVgVV5sqy3Wq1lGKsocqJYz/NWkep4vtpqPWMynzGbT5vM9TzfdCU1Vn53dc3u6pq3zharGWaIl8c4X5/xvj5DvTw1csd+LMuOHMMOHsbv22P9aQeZzWTl+F928Wm/q6+fwI4YTfa0zAcAAHASJPAAAAAKYzFbd/3A7/2ZrJeqqZnAYPXEW1QJA5wbl/0yG41fX7i45WJlntHU8lMDq0rx8Bjs6ZHq6dHbzS1arwvSdmTQu0rOWmQyHW1ozKivP1zXkFnfUPdHSm8VxX01dftq6v5ZdNZbzd4W4D89MGC8n8+lTF6rY8eOUyUP5n/czqcfIEGgxkbrd1/xGenqyXeoIqM6sesAAAAOxIhiq38OB1dhNpvr6uqIyGAwGAwGZ4cDttXX13Mc5+vr6+xAwDaO42pqaohIr9d7eHg4OxywrbGx0WQy+fn5OTsQhxFFIfOwdfs3Uq/pREQGg/qGm9ihI12iZvh0Q+PaM+e+qKnNMZmbfeSnUd/o63utr/cQT48Ed4PaAWPdCSKdMhr319b9WFX9Y1VNqdxRf5MYpgT4zwgKuM7Hm/0jALGsxLrlSyEv99JMDMMOGspOvIXx8OzyCBXCaDQ2NDQEBAQ4OxCwTRCEyspKItJqtV5eXs4OB2wzmUz19fX+/v7M1T1yp2KJolhRUUFEarXax8fH2eF0JSTw3QESeJeABF7hkMC7hO6dwIsXL1i/+kzIP3XpPcOwQ0awN97MuLs7Na7Ls4ril+UVq0vKfqqqFv73o4Ee7pP8fCf5+w738mSv4G2uSJTd0PhjVfXOyuqfqmvMwv/EFabT/jUkeG5ocKReJ00Rso5Yt33zZzeBbm7qCbewQ0dSd7w1RwKvcEjgXQISeIVDAg+KhgTeJSCBVzgk8C6h2ybwPM/v3mn9aSdZL/XErorqqZ48jekR4dy4LquCs35QUvru+ZJz5v+p7u7rpr83NPiuoEA5Q3aiaqv1m4uVn124uKuqmmty28MyzAQ/nwfDQib5+bIMQ5zFuvtH/pddxP1xFqJ7qW+fwQSHOilwR0ECr3BI4F0CEniFQwIPioYE3iUggVc4JPAuoVsm8EJRgfWrT8WyUukt4+HJ3nQbm5yq8Lrf7IbGpeeKN5aVG5tUbgdpNbd5ekz38Rri4+3pqbgm6BWc9auLFRvLLvxaXdt0eoRON69H6INhId5qVqyssH73lXA869JnLMuOuV59/Y2k7shT+sqEBF7hkMC7BCTwCocEHhQNCbxLQAKvcEjgXUJ3S+BNRuv2b/mDv5P0W8wwbOow9aTJpOxv8iP1Da8UndlysbLpDcQob6/Hw8Nu8vGqr6khIp1Op8AEXnai0fh+cemGsgtNR7PzUrP3h4Y8Hh4aodMJ2ZnWbzeLtZd6ImACAtW3z1TFxDop3i6GBF7hkMC7BCTwCocEHhQNCbxLQAKvcEjgXUJ3SuCFkznWLz8Ra6qlt0xgsPr2Gapeih4iLrO+4R9FZ7+5WCHfOuhUqplBAY/1CE3x9CAiq9VaXV1Nik/gJSZB+KL84qrist9q/qyQ1zDMzKDApyLCBqhV1v9u5ffv/fPPK8OuUU+6lbTOfyigk5DAKxwSeJeABF7hkMBf1SoqKnCUAACgqzBms+6XnZqjGZcyQ5a1pA6zjBwrsqyzQ2tVjtnyeln5ttp6+efQh2Xv9/e5z883UK3csO10xGhafrFya209/8fPPUN0k7fn04H+/WsqdTu2smUl0nTBy9s08VY+sqfzggUAgO7Gw8NDr9fbOTMS+Mszm80KP0pWq9VkMhGRVqvVarXODgdsM5vNPM+jiYRi8TxvNBqJSKPR6HQuX8PWXVksFo7j3BXfK3tb8nKZLZvpj4p3MSycpkynoBDnBtWGMo77x9niD8sr5OTWm2UfDQ2eFxLk3SJ1FwShsbGRiNRqtf33IgpRaDIvK73wYXlFwx+DyauIbvPzfS4sOCHtN2bPzyRNZxgaMkIcN5Fc9geX4ziz2YymRoolimJDQwO55nV09ZCuI3d3d9TAK5N8HalUKuXffms0GtbuP+Ijge8O0ITeJaAJvcKhCb1LcO0m9BaLdevX/MF9csW7etxEduw4xQ7wbhSEt84WLz5zrv6PhNZbzT4RHvZEeJiPWm1zEddqQm9TBWddfr5kybniauulx+NVRHcEBbxs0MZ885lYUixNZPwD1NNnqaJ7OS/SjkMTeoVDE3qXgCb0CteNm9Db/gEGAACALiSePc19+qF4sVx6y/SI0Ey/mwkJc25UrRGJPikrf7bw9BmTWZqiV6meCA9bGNnDt5XUvdvw16hfjo54PDz07XPFS84V11p5geizCxe/ZJg5E6e9cCY36KcfSBDEiovcqqXstePV108gBT/7AAAA3YxC/+oPAADQTQgCv2uHZcWSS9k7y6pvmKSd96Ris/eshsZRGVl35+RK2TtDNDMoIGdIyn96RXX77F3mo1b/IzqycGjq81HhnixLRFZRfL+kLF7v968759b3CCf648y+97Z48YJzowUAgKsHEngAAABHEasqufeXWX/YJj0+zQQGax9ZwF4/QZnN5ht4fmF+0aD0I3Kv7MO8PH9LGfBJv7ho/dXYMYSfRv1qz6jCYakLIsJ0KhURNfD8osqafqljP7j+Jo5liUg8d8ay5DV+727CM4kAAOB4SryBAAAA6Ab4jDTLksVCYT7RpUHItI8/zfSIcHZctm25WJmQlvHG2fOcKBJRmE67qV+ffSkDhnu55KPsXchfo/6/mJ4nhqTcHRwo3TZdsHCPaj2GTJqxMyqGiIjjrN99xX24WmxscGqkAADQ/SGBBwAA6GoWi/WLTdZPPyKTiYgYD0/N7AfUU6aTRon9lp83W27LzpmcnXPaZCYilmEeCw/NGZxyZ1AgumaSRet1G+P7pA0aOM73UmdIOVb+ln6pt197U667JxEJx7O4d14XigqcGiYAAHRzSOABAAC6klhabFn2Bp++X3qrik/UzH9G1TfBuVG1Zn3phcS0jG8vVkpvB3t6HEwZ8E7vXl6uP7q7I6R4euwcmPD9gH7xBjdpyna9x6DRkxYmDKrWaMTqKm7VUv6nH9CcHgAAHAQJPAAAQJfhDx20LH9LvFBGRMSy7LiJmnvvZzyU2Ar9vNlyU9bx+06cksZL81azy2N77U8ZmOKJYRQvY4Kfb+bg5Hd69/LTqImII1oa2bv/2FvWh/cSBNG6Yyv3wXKxtsbZYQIAQDeEBB4AAKArmEzcx+usn28kzkJEjH+g9pEF6vETSZFDBEsV79srqqS3k/x9jw1OeaRHqEqJwSqRhmEeCw/NHTLokR6haoYhonK15qH+g8cMH3fYy1fIP8W987pw6oSzwwQAgO4GCTwAAEBniSXFlmVvCEczpLeqpEHaxxTaX12Zhbu5ScW7j1q9rm/stv79euiU+Hy+wvlr1Mtjex1JTbre11uakubjd82I8fMSUyvMFm7NCv7H79GcHgAAutDVMqArAACAg/DpB6zffE4cR0Sk0apvncoOGe7soGzbVlE15+SpCxZOejvJ3/f9Pr2RundSgrvhx4GJX5RffDKv6KzZLDDM6oiYr0LCXz2ZNXvnf9VnitQz/sK4uzs7TAAA6A5QAw8AANBRVqt1y5fWLz6WsncmIFD7yAJlZu9GQZh3quCWrONS9u6tZlHx3rXuCAzIGZL8TGS4VsUQUaVG97fE1LHDrz9cUsq985pwutDZAQIAQHeABB4AAKAjxIqLlnff4n/7RXqr6p+kffRpJjTMuVHZlFnfkHoo893zJVJj7pHeXkdSk2eHBDk5rG7HnWX/0ysqKzX5Rr9LQ80d9PEfOWL8gh49K1av4Pf96tzwAACgG0ACDwAA0G7CyeOWZW+KxeeIiFQq9cRbNXffR3q9s+NqTiR651zx0MNHjzc0EpGaYf7ZM/KXpMRovc7ZoXVbfQxu/x2QsDmhb7hOS0Q8w7wb1WfANTd+nHaQ+2SD1MchAABAxyCBBwAAaA9R5H/6gVu3ioyNRMR4e2sefIwdO06Bvc1XWa23Z594Iq/QLAhEFOOm35Pc/8WoCFZ5oXY/UwP9c4akPBnRQ8MwRFSq0987cPgEjefxNSvFqkpnRwcAAK4KCTwAAIDdTCZu4xrrjq1S1+KqXr01jy1URfdydlg2HKitS0k/8s3FCuntvSFBGalJw7yUOCJ9d+XBsm/GRB9KTRrl7SVN+SkgeFCfpJe2fNuYm+Pc2AAAwEW5QC/0JpNp48aN+/fvr62tjYmJSUpKmjZtGsuy9ix7+PDh77777ty5czU1NSEhIXFxcTNnzvT393d0zAAA0P2IF8u5D1eLZSXSW3boCPXkO8i+36MrSSR6+2zxs4VFFkEkIneWfTe217144t1J+rsbfknuv6H0wsJTBeU8b1Kxr0b1+fTUmWVnz024TokNNwAAQMmUnsBfvHhx0aJFhYWFROTt7X3s2LFjx45lZmY+++yznp6XqUZYv379V199RURqtTogIODs2bNFRUW7d+9etGhR3759r0T0AADQXQjHs7jPPiKTiYhIo1VPncEmD3Z2UDZUWa2zT5zacvFSI+1Ed8PnCX3jDW7OjeoqxxDNDgm61d/v7ydPrblYKRLluXtMJJr+3x1vjxoV5oER5gAAwF5Kb0L/9ttvFxYWJiQkrF279qOPPlq5cmVERER2dvaaNWvaXjA3N/frr79mWfbxxx//7LPP3n///Y0bN15zzTVms/ntt9/mef7KxA8AAC5Peuj9w9VS9s74+mn/Nl+Z2fuR+obBhzLl7H1OaPCBlIHI3hXCT6P+IDF+78DE/oJVmvK5m2f8wfR3cvN5UXRubAAA4CoUncCfOHEiKyvLw8PjueeeCwgIIKKwsLCXXnqJZdmff/65vLy8jWV37twpiuLMmTOvv/56jUZDRO7u7o899pjBYCgpKTl37twV2gcAAHBpnIX7ZMOfD73Hxmkee5oJ6+HssGzYUHphxOGj+UYTEXmw7EfxfdbE9Tawiv6hvwqN8PU+fO3o13SMO88TUa1K/URx6eDfDx6orXN2aAAA4AIU/bu+b98+IkpNTW3aWj44ODg+Pl4Uxf3797ex7JkzZ4ho4MCBTSfq9frw8HAiQgIPAACXJdbUWFYuFTIPS2/ZoSM09z3EGBTX4NksCA/l5s8+ccooCETU1+B2IGXArOBAZ8cFtqkZZuHwEcd7R0yuvCBNybBYRxw++lBufiVndW5sAACgcIp+Bj4/P5+IUlJSmk1PSUnJzs6WPm3N1KlTzWZzZGRk04miKJaUlBCRj49PVwcLAADdinC60PrRGrGulohIrVbfNp0dPMzZQdlwxmSeduxEWl299HZaoP/avrGeyutaD5qJjOr5ta/flq+/fCIwvMjgLhCtKi79qrxica+o+0KD0bUdAADYpOga+OLiYiKSGs83JU05f/58G8sOGTJk1KhRBoNBnmIymVasWFFXVxcVFdWvXz8HxAsAAN0En76fW7VUyt4ZTy/NA48qM3vfU1M75HCmlL2rGWZxr6jPE/oie3cVjJf35LvvOVp34YW8bJ0gEFE5x/31ZN6QQ5kHa+udHR0AACiRomvgGxoaiKhlb/MeHh5E1NjYaOd6XnvttcLCwrKyMp7nk5OTH330UaY9o7ZUVVUJgmD//Fee+EfnN0aj0Wg0OjcYaI10mioqKpwdCFyGyWQym83OjgJsuxLXkShqf/lRe3Cf9I4PCTNNmSF6eJHyLt7VFVUvllzgRJGIgtTq1ZFhI9zdKpURp9lstlgszo7CRYybuPDgvun7fniib/JPAcFElF5XPyLj6Bw/n2eDA70c0IsBfo9cBcdxOE2KJV1HlZWVzg4ELsNqtSr/OvLw8NDpdHbOrOgEnuM4InJza959rlSvbv8ddn19fX19vdTzfFVV1fnz51vW6rdBEATRRbqHdZU4r2Y4Ry4Bp0nhHHeCGM6i3/q1Ou+k9Jbrm2CeOFlUq0lhRcIiik+dL/2kulZ6m2pwWxcRFqJRK6roKioYhTMPHh7hH7ht65df+gYtjE8u1rvxovhBRdU3NbUvhQTN8PFyRIt6nCDlwzlSPpwjl6D809SuCBWdwHt6elZXV7esUpbq3i87Drxs0aJFRGQ0Gr///vsNGza88sor//73v+Pj4+1cnGVZhZ91URSlNgIqlapdjQvgSpLPkbMDgVZJf+ZjGAanSbFEURRF0UEniKmr0325SVVaTETEMNzQkdyYcSrlfamWctZ7is4earz043i3n8+bPUJ0yii08u8RrqP2EmPjzLMfvP3zjyf8uv1fsYnLo2I5larcyj96rmR9ZfXr4aHJbvou25YoCoLA4lELBcPvkfLhOlI+F7qO2pXBKTqB9/Pzq66urq9v/hiYNMXX17dda3Nzc7v99tvLy8u3bdu2ZcsW+xN45fd4Zzab6+rqiEiv1zd97B8Upb6+nuO49pZbuGI4jqupqSEinU4nPacDCtTY2GgymRxxHQlniqwbPhDr64iINBrN9Fm6AcldvpXO219bd3tOXonFQkQahnmrd895PUKdHdSfrFZrdXU1EWm1Wvv/zg6X+PqKjz6p/nD1f04cuedc4RMJKb/6BRHRoUbj+NyC+0KD/90zKkir6fx2jEZjQ0MDfo8USxAEqWG2RqPx8vJydjhgm8lkqq+v9/HxQeWZMomiKLWcZ1lW+dlcuyj6rxHSsW75bElVVRUR+fv7t7ZgXV3dvn37MjIyWn40YMAA+qN7PAAAACISMg9zq5ZJ2Tvj5a196HGVIrP3j8ouXHskW8reAzWanQMTFJW9Q+cx7h6a++exg4b0q6/54cDPGzP2hVs5IhKI1pSUxR08vORcMafsVoEAAOBQik7gpUHgjhw50mx6ZmYmEfXs2bO1BY1G4+LFi//zn/+0bPouPTmPP2cCAICE/+kH7pMNZOWIiOkRoZn3JBMeedmlrjBBpL8XFP0l55RJEIgo2cM9bdDAMT7ezo4LHECtVk+fpZ54KzHMtNKzR3dtebbsrJ5hiKjaap2fV9g/LWNbRZWzowQAAOdQdAI/ZMgQIkpPT2/aX11tbW1WVpZWqx0zZkxrCwYGBnp5eZlMJinVbyotLY3aTP4BAOBqwfPWzzdad2yV+qhTxfXTPvgY4624hnZ1PH9bds7rZy4Nnjot0H9Pcv8ovb3d1YIrYseO08z6K2m0BsH68uF9R9J2T3a/1KfvyUbjzVnHbzx67FiDvcPxAABAt6HoBD4xMTEuLq6qqmrp0qVSJwRms3nx4sUcx40ePdrd3V2ec9u2bd99911eXp70lmGYG2+8kYiWL19+7NgxaaLFYtm0adOePXv0ev2kSZOu+N4AAICSGBu5Ne/xhw5K79iRYzT3PUh2D+JyxRSaTCMOH/2uopKIGKKXoiM+T+jrjm6TrgKqxAHaR+YzPr5EFF1e+tk3H+/00PZ3v9TTzQ+V1UnpRx45VVDOcU4NEwAArihG4f2rl5SULFy4sKamxmAwREZGFhQUWCyWsLCwN954o2nvONOmTbNYLPfee+/UqVOlKRzHvfTSS1L2bjAYPD09y8vLBUHQ6XSPPfbYqFGjnLM/jiF3YmcwGNCJnWKhEzuFkzux0+v16MROsaRO7Pz8/Dq5HrGinFu7Srx4gYhIpVJPnsYOu6YL4utqe2tqp2SfuMhxRGRgVeviYqcHtWMY1CtP7sROp9OhE7suIVZXcetXiSWXBkdgJk1e17vfi4Vn5LzdS80+Exn+eI8wg90jxkud2LVrSF24kuRO7LRaLZ76VCypEzt/f390YqdMcid2arW6m3Vix77yyivOjqEtnp6eY8eObWxsLC8vLykp8fX1HT9+/JNPPtns9vrzzz/neT4pKalfv37SFJZlr732Wi8vL2kQeKPRGBUVNXjw4L///e/29z/vKniet0g9Ems0Gk0X9E8LjmCxWARBcHNzc3YgYJsgCNLTOmq1WqvVOjscsI3jOKvV2snrSDhdaP3gXbGmiohIr9f8ZS47cFDXxNelPiy9cMfxk3U8T0ThOu2OAQnj/ZR+CyIIgslkIiK1Wq1TXnMGV8To3djkwWLJefFiORHRqRODGPGhsddaidLr63mRzIK4q6rmw7ILvhrNQHd3e1IJq9XKcRz+4q9YoihKgyizLIvrSLGsVqvFYjEYDEjgFUu6jlQqlV7fZcNwKoHSa+DBHqiBdwmogVc41MC7hM7XwAtZR7jPPiKOIyLG108z+0EmRHEduYtELxSe/vfpc9LbIV4e3yTGh7rC35VQA+8ogmDd8iX/+x7pnapvgubu2Xm8+FzB6c3lF+U7uQEe7ot7RU30u8wPDWrgFQ418C4BNfAK141r4BX9DDwAAEAX4vfu5j5edyl7Dw3TPPyEArP3Rl6YfuyEnL1PDwrYndTfJbJ3cCCVSn3bHepbbieGISLhxDHLe2/HmI2fJ8TtSxlwjfelHO9ofcOko8dHZ2Ttral1argAAOAoSOABAOAqIAjWb76wfvfVpQ7n+8RrH56vwA7nSyyWsUeyNpdXEBFD9EJUxKf94txU+LEGIiL2mrFS1/REJJYUc+++JRafH+bluSe5/9eJfeMMlx4t2VNTOyoj66as4xn1DU6NFwAAuh7uCQAAoLuzWLgNH8jNj9nho5TZ4XxmfcPQQ0fT6uqJSKdSfRjfZ1HPSDTNhKZUiQM0D8xjPDyJSKytsaxaKpw6SUS3BfhnD05e0ScmTHepscb2iqpB6UdmHD95otHozIgBAKBLIYEHAIDuTKyrtaxaKpw4RkTEMOqbp6hvu4OUV6e9vaJqVEbWWbOZiAI1ml0DE2YFBzo7KFAiVWS05pEFTGAQEZHJyK1bKY2GqGaYh8JC8oYOeiMm2l+jJiKR6PMLFxPTMmbl5CKNBwDoHhR3BwMAANBVxPIy7r23xXNniIg0Gs2sOeyoa50dlA3vni+5NTtH6nA+3uC2P2XASG/0XAWtYvz8tX9boOoZQ0TE89YvPuZ37ZA+clOpnoroUTA09eXoCE+WJSJeFD8uK5fS+JNI4wEAXBwSeAAA6J6EM0XciiViZQURkcGgmfuIKnGgs4NqjhfF+XmF804V8KJIRNf5ev+WMqCXW7ca8AYcQirSSalERKJo/WGb9YuPieelD73U7CvRkQXDBi2M7OHeJI1PSMu4Jyc3B2k8AIDLQgIPAADdkJCdyb2/TGxoILm6MrqXs4NqroHnbz923+NbFwAAIABJREFUYsm5YuntnNDg/w5I8FWrnRsVuAy1WjPzHnbcROkdn36AW7eKTCb58wCN5rVe0YXDBj0d8Wcav7GsfHBWzn1niw/V1TsnbAAA6AQk8AAA0N3we37mNq6VhotTRUb9+cCwkpRaLGOPZG+5WElEDNG/e0WtieutwXjC0C4Mox4/UT15mtStg3DqhOX9ZWLd/4whF6jRvB4TXTD0zzReINpaU5d6KHPC0WO/VmPAOQAAV4IEHgAAuhFRtH73lXXr15eGi+vXX/PAo1KX3YpyrKFx2OGj6XX1RKRXqT7tF/dsZLizgwJXxY4YrZk159LwcufPcu+9LZaXNZsnSKt5PSa6cNig56LCvdhLt387KqvHHMm6JiPr24uVgnilwwYAgA5AAg8AAN2FleM+Xsfv3S29Y4eP0txzadBsRdlVVT0y4+hp06UO539KSpweFODsoMC1qRIGaB6Yx7h7EJFYWcG9t0QoKmg5W6BG86+eUbnJA54PDgzUaKSJv9XU3padk5B2+IOSMrMgXNG4AQCgnZDAAwBAt2Bs5Fa/J2QdISJiGHbcRGUOF7eu9MLEo8drrDwRxRncfk8ZMNxLcQ0EwBWpIqM1855kAoKISGxs4D5YLmQetjmnF6t6ItCvaFjqkt49I/U6aeKJRuMDJ/Oi9qf/+/S5Ss565eIGAID2UNydDQAAQHuJNTWWVUuFwnwiIpZVz7hHPX6is4NqTiR6sfDMnBOnOFEkotE+XvuSB8Sgw3noOoyfv+aR+aqonkREViv3yQb+l12tzWxgVY+Hh+UNHfRRfJ+BHu7SxDIL93zh6Yj9aQ/n5mPoeAAABUICDwAArk0sPs8tf1MsKSYi0rtp5jzMJqc6O6jmzIJwT07uq6fPSm/vCg78YUCCnwYdzkMXYwzumrmPqPomEBGJonX7t9btW6QuIWzSMMys4MAjqUk7BiSM9/WRJjbywsri0n4HD086enxnVTWejgcAUA4k8AAA4MKEUyctq94Ra2uIiPH21j70uKp3H2cH1VyV1Xrj0eMfl5VLb1+IitgY30envOb90E1otZp772eHjJDe8b/8yH32kTxEfGtu8PP5YWBCRmrSPcFBWhVDRCLR95VVN2Qe65+Wsaq4tOFyawAAgCsAdw8AAOCq+Ix0bt1KaeBrJjhU87cFTGiYs4NqrtBkGnH46C/VNUSkYZjVcb0X9YzEYHHgWCqVeupM9Q2TiGGISMhI59auaDpEfGuSPNw/jI8tGpb6QlSE3MvdsYbGh3Lzw39Pfyq/qMB4+ZUAAIDjMGLrrapAYjQq/Rkwq9VqNpuJSKvVav74uQWlMZvNPM8bDAZnBwK28TxvMpmISK1W63Q6Z4cDtnEcx3GcdB0x+/cyO7ZeahscESXcNZvcFHd9pdc3TsvNu8BZichLzW6M6TnOx8vZQTmQIAjSjyauI6U4ckj13ZdS9bsYFCzO+it5eXMcZ7FY3N3d217UKAifVlQtLynLaZK0q4gm+Hg/FBx4vY8X/g7lIKIoNjY2EhHLsno9uslQKOk6MhgMDINLQYnk60ilUrm5uTk7nMvQaDRqtb1P1SGBv7yqqipB2aOqyCcR3yBKJp0mnCMlw6XkEkRRZIi0u3dq036Xplj79DXfPFW0+5fvitleW/fg2WKjIBJRD41mU1SPhKugyzpcR0rDFhXov/2cMZuJSPT0NE69mw8MIrtPkEi0p75hdUX1jrp6vslNY4xOe5+fz52+3t4s66DIr2a4Z1A+nCPlc6HfIw8PD/v/6o0Evjswm811dXVEZDAYUMGrWPX19RzH+fr6OjsQsI3juJqaGiLS6/UeHh7ODgdsa2xsNDfUe+zYemm4OCL2mrHqm6eQ8n6bl54rWZBfKCU8SR7uW/v366FT3Ij0Xc5qtVZXVxORTqfz9MTweEohnjvDrVsl1tcRERkMwsx7G/wDAwIC2rWSIpP5vfMla0rLmg4y586ydwUFPNIjVO7HHjpPEITKykoi0mq1Xl7duc2OSzOZTPX19f7+/spPDq9OoihWVFQQkVqt9vHxcXY4XQnPwAMAgMtgTEb9Zx/Jg72rb7pNfcvtSsveBZHm5xU+nlcgZe8T/Xx/Te5/NWTvoFhMeKTmb/OZgEAiosZG1Uer1bkn2ruSaL3u9Zjos8MGfxDXO/mPdL2B5z8oKUtKP3JNRtamsnKLgGohAADHQgIPAACuQayuYtauUJ09TUTEspqZf2FHX+fsoJpr5IVpx04sOVcsvX0gLGRL/3hPtDEGZ2P8AzR/m6+KjCIi4ji37zbzv+/pwHoMrGpuaPDh1KTfkgfcFRwoD6bwW03t3Tm5EfvTnis4fdpk7sLIAQCgKSTwAADgAsTSEm7FEqb8AhGRVqeZ/YAqaZCzg2rugoW7LjP764sVRMQQ/adX1Ko+MWqFNRCAqxbj7qF54FFVfCIRkSBYv/nCuuXLNoaIb9sIb8+P4/ucGZb6r55RkfpLj25esHD/OXMu5sChydk5OyqrUR8PANDlkMADAIDSCfmnLCuWiNVVRCS6e2gfflzVJ97ZQTV3stE4POPogdo6ItKpVJv6xT0TGe7soAD+l0ar+ctcMXWY9I7/7Rfr5xsvO0R8G4K0mueiwguGDvomMf5GPx/ptpIXxS0XKyccPRZ38ND/nT3f9Jl5AADoJCTwAACgaMKRQ9zaFWQyEpEYGGT8y/1MmOIS41+ra0dkHJWGyPbTqHcOTJgZ1L4ewgCuEJVKvHmKecQY6R1/OI1bv4rMnWr0zjLM5AC//w5IODl00JMRPfw0l4aEyDOansovCv897a8n8w7X1Xc2cgAAQAIPAABKxv/6E/fph2S1EpEqupd438Oil7ezg2puU1n5DUePSdWMMW76fckDRnmj42hQNMvIMeqpd5JKRURC7gnLqqViXW3nV9vbTf9mTPS54YPXxPUe5HlpOA+jIKwtKRt0KHNkxtFPLqCjOwCATkECDwAAiiSK1u++sm77RnpGV5U4UHP/I6Kbm7PDau5fp8/Nysk1CwIRDffy/D1lQJxBcUECtMQOGa75y1zSaolIPH+We+9tUepjotPcVKo5ocHpgwbuTxnwl5Ag/R8d3e2rqbvreG70/vRXis6UWCxdsi0AgKsNEngAAFAeq5X7ZAO/d7f0jh0xWjNrDqk1To2pOU4U/3oy74XC01J94rRA/11JiYEaZQUJ0AZVfKL2wccYD08iEisrLO++JRTmd+H6h3p5bugbe3Z46uJeUVF/dHRXYrH8o+hs1O/pd+fkpqFdPQBAOyGBBwAAhTEauTXvCZmHiYgYhh03UT15mtIGe6+x8pOOHl9bUia9fSqix2f9+rqp8KsKLoYJj9Q8soAJCCIiMjZyq98VjmZ07SYCNJq/R4bnDx30dWLf6329pSuZE8VNZeX/z959x0dVZo0DP7fMTKZlMiW9kBACCSSQhFCkiYoFFUVFbCvWdV1dy+ou767vrm55/b27q2thdy1rV9aGHcurIKICghDSIYGEhPQyk+nttuf3x4SQhA5J7p3kfD/72Y/3SSZzyOTO3HOf85xndmnF/LLKdT124XSb4SOE0HiDlxoIIYQUhLic3LNPSQfqAQAYhr3mRvb8pXIHNVRTKDy/rHKj0wUALEU9Mzn7sexMWll3GBA6WZTFqvr5fVRaBsCh4pfT2iL++BiKWm6zbpyRXz2r6OcpSXqGiYxvc3tX1tRl7yh9vKXNI5x+P3yEEBonMIFHCCGkFKSjjX/mCdLVAQAQE6O65U6mqETuoIb60eObu7uixh8AAAPDfJyf9/OUJLmDQuiMUAaj+mf30rlTAQ5tEf/F+tPeIv74pup1z0zObjmr5K8TM/s3kG8OhX/d0JS+fefqhqbWMC6PRwihY8IEHiGEkCJI++u4554mbjcAULEm9Z330TlT5A5qqA/tjnMqqro4HgBSNOpvC/MvtprlDgqh4aBWq266g5l1VuRI3LyBf+eNM9ki/vjMLLs6I7VxTsknBXlLzHGRQY8gPtbSNnH7rpU1dbg8HiGEjgoTeIQQQvITd+/kX3kOQiEAoBKTVHf9kkpOlTuooR5raVtRXRsQJQAoMuh/LJ5RfGijLITGAppmV1zHLr0s0nJCKtvFv/QMhIIj+IQULLNaNsyYtqN4xtXxNoaiAIAnZF2PfU5pxcWVe7a4h2FzO4QQGkswgUcIISQzcctm4d21kbk+ekKW6mf3UWaL3EENwhNyR1396oYmCQAALrVavisqSNWoZQ4LoRHALF7CXn0DMAwASA37uWeeIi7nSD/p7FjDu9Om1M0uvjs1WcfQAEAAvuh1LiyrOru86ste10gHgBBC0QITeIQQQvKRJOHDd4X1H/Rt9j69SHXHPZReL3dYgzgFYWllzQuHGs7fk5r8UX6u4VALLoTGHmbmbNVNd4BaAwCkq4N/9inS2TEKz5utjflnzsSDc0v+mJlhO7Qj43cuz0WVNSWlFR/aHdiqHiGEMIFHCCEkE47jX39R3L4lcsQsPEd1/c3AsvIGNUR9MDRvd+XXTjcAMBS1JmfimpyJjML2tENo2NFT8tR33ksZY6F/b4iGfaPz1DaV6uHM9Ka5M5+YlNVf51Lq9V1ZXVu0qxzTeITQOKes66SjCoVCa9eu3b59u8fjyc7OLiwsXLFiBXNyUx9NTU0fffRRVVWVy+WyWq0ZGRlXXXVVXl7eSMeMEELo+IjPy7/yPGltBgCgKPbSK5gFi2WO6QjfuTxX1ux18AIAGBnmnWlTllqwZR0aL6jUdNVdv+Rffo70dEEoyL/0LLvieqZ41ug8u55hfpmWcldK0mud3X9taTsQDAFAhc9/ZXVtoUH/h8yMy2wWvJGGEBqHmD/84Q9yx3A8drv997///Y4dO/x+v16vb2lpqaqqqqmpmT17tkajOf5jt2zZ8sgjjxw4cCAQCNhsNqfT2dzc/PXXXxNCCgoKRif+0SGKIsdxAKBSqVSHSs6Q0nAcJ0mSVquVOxB0dJIkhcNhAGBZVq3Gtc0jizh6+Bf+2VeUy7Kqa1cxs886mQfyPC8IwuicR691dq/cU+sTJQCYEKPZWJg/3xQ7Cs8b1SRJCoVCAMCy7Ak/ppFcBEHgeV6n053wOymtjikqIQcbicsJhEh7qoAAnZ0zCkFGsBQ102i4OzV5sk67JxCI3E3r5Pi3u+3rHc5UjXqybgx+qhJCgsEgADAMg+eRYgmCwHGcTqejsCZLqSLnEU3TMTExcscynJReQv/kk082NjZOmzbt5ZdffuONN5577rn09PTq6uqXXnrp+A90u91PPfWUKIoLFy589dVXX3zxxXfeeefWW28FgHfeeaeysnJUwkcIITSU1NzE/+tJYu8BANDpVLffTc8oljuoQSQC/3Wg6eba/ZxEAGBurHFH8YwC/YmzHYTGIK1OdfvddOFMAABCxI1fCOveHLnt5Y6KpaifJMbXzCp6PS8n59D9u91e37KqvQvLqra5vaMZDEIIyUvRCXxtbW1VVZXBYHjooYdsNhsApKSkPPzwwwzDfPPNNz09Pcd57IYNGziOy8vLe+CBBywWCwAwDLN8+fLLL7+cEPLpp5+O0r8BIYTQAFJlGf/8P4jfBwCU1aa++wE6K1vuoAbxiuLy6r1/a26LHF6TYNtUmJ+oxuImNI5FymQWnRs5Endt5197AcLhUY6CoagbExP2zC56LTdnkrZvPm2L2zO/rPLy6r01/sAox4MQQrJQdAK/bds2ACgpKTEajf2DiYmJeXl5hJDt27cf57H19fUAsHjx4iGr5efNm9f/VYQQQqNJ/HYj/+arIPAAQGdMUN31S8qWIHdQgzSFwvN3V6539AIABfCHzIy3pk7R0or+rERoNFAUe8ly9vIVQNMAINXt4Z57irjdox8IS1GrkhL2zi5+Ycqk/hZ3n9h7Z+wqv6V2f2uYG/2QEEJoNCn6oqShoQEAiouHllZGRiJfPRZBEGw2W1pa2pDxyBJxcXRLvxBCaLyTJOGDd4TPP+nbLm5qgeqOeyiD8YSPG01b3J7ZpRVV/gAA6Bj67alTHslMx6WNCPVj5i1S/eRWUKkBgLS38c88QTraZYmEpajbkxP3z5n514mZZpYFAJGQVzu7p/xY+khTsx8v8xBCY5eiu9C3t7cDQKR4fqDISFtb23Ee+7vf/e6o4zt27ACA7OxTqNgMh8OEKHrLEkEQ+v8j0j0IKZAoioQQfIEUq/++niiK+DINMy5MvfcW1O3pOyyZI15yhShKIJ7y71kQhBE6j17rtt/b1BxZ9J6iVq2bMqlYr8O/hFMlSVLkP/A8UrLIZcNpvkDZk6lb74S1L4PfR1xO7pknydU3wOTcYQ7x5FAA9yZYV1njHm/rfKazOyhJAVH6U1PLi+2df0xPvd5mpaPzDlz/ZWd/V0ikQDzPA0AoFMImdsoUXeeRSqU6yU3WQOEJvN/vB4CB9fMRBoMBAAKBU17sVFFR8f777wPAFVdccfKP8vl8Ck/g+3EcF2lHjxTL5/PJHQI6AZ7nI5/KaFhQfp/2/beYrg4AAIoKn7WIm382nPob+EDDex4JhPy+o/vFXlfksEgb83pGahKR8Gw9E4Ig4C9Q4U7/BYqNo2+4Vfv+m7TDDlyYeuvV0HkX8YUlwxrdKWABfmMxrTLqH+2yr3O5CUA7x/+0oemf7Z3/k5wwN5rb1ON5pHyRbAUpmSRFwQe6wWA4+QRe0SX0kWvoI7cLimx8Ej6V7inhcPj1119/5JFHeJ6/4YYbxtg2cgghpExMT5d+7UuR7J2wquDlV3Pzz5Y7qEF6RfHqptb+7P0Kk/GTiRlJKkXf3UZIdpIpLnD9LWL6BAAASYrZ8Lnm+00g62xHior9V1rSl9kT5hzK2CuCocsONN/Z2tHJCzIGhhBCw0vR1yhGo9HlckV28BsoMvd+5Mz8sWzduvWll16y2+0xMTG33XbbhRdeeEphnMxGqfISBCFyO0OtVuM+8IrFcZwoirgPvGL1V/zi/tXDhdpfR733n75W1XoDXH+zJjX9DH+zkfqI4XpbrgoEVx5oPBjmAIAG+GN6ygMpSVgKeSYkSYp8auN5pGQ8z3Mcp9frz+in6PVw0x3kk/eoyjIAUG/fovJ6yPKVIOt1yAK9fpPN+mGv83fN7U3hMAF43+X5yut/KDXprqQEVZSUOhNCIte6DMOMsf2rx5LI5TfuA69Y/ecRTdPKv/xm2VPIyhWdwFssFpfLdWTNQ2TEbDaf8Cd4PJ5nn31269atALBgwYKbb745IeGUOx4r/yUPh8ORBJ5lWeVHO26JoihJEr5AisXzfH8Cjy/TmRN/+F745H2QJACgEhJVt9xJWaxn/mMJIYIgDMsLtK7HfkttfaTZVRzLvjl18lLLiT9W0PEJghBJ4BmGwfNIyTiOG54X6PqbhfhEcdOXQAhVU8l4PexNP5W9P+UNqdqrkpOeaGn/f82tflH0iuJvm9vWOpz/yJl4TpxJ3thOhiRJ/Qk8nkeKFQqFwuGwVqvFBF6ZoiuBPyWKLqGPi4sDgN7e3iHjTqcTAKzWE1wLdnd333fffVu3bs3IyPjb3/62evXq08jeEUIInRpJEr74RPhoXSR7pydNVt/1wLBk78NFJOQ3Bw5eU1MXyd5zddodxdMxe0fodFAUe8HFqutuAlYFAFJzE/+vJ0hXp9xhQQxNPzQhbc+soqvi+958avyBc8urb9i7r5vDLicIoSim6AQ+IyMDAMrLy4eMV1RUAEBWVtZxHhsIBB555BGHw7FkyZInn3wyN1ee/qgIITS+cBz/xkvi5o2RI6ZkrurWn4OS7nzbef6iyj1/bW6NrNa91GrZUTxjcjS3uUJIdvSMYtUdv6D0BgAgvQ7uX3+X+nedkFVGjOa9ablfzZg25dA5/mZXT97O3S93dEVHd2KEEDqCohP42bNnA8CuXbsG9qvzeDxVVVVqtfrss4/XCWnjxo1tbW0lJSX33nsvLgtHCKFRQNwu7tknpT1VAAAUxS5dxl59PZx0V9VRsMvrm1lasdHpAgAK4PcT0j/Oz4tlFRQhQlGKnpCluut+yhoPABAO86+9IP64Te6g+pxvjqssKfrLxAl6hgGAXl64ra7+3PLqfYGhXZYQQkj5FJ3A5+fnT5kyxel0rlmzJrJFczgc/stf/sLz/KJFiwY2X/nss8/Wr19fX1/fP/LVV18BwPLly6VjGP1/DkIIjWGktZn/x+OkvQ0AQKVSXX8zs/h8uYMa5KWOroVlVc2hMACYWObjgrw/ZWVE6TbRCCkQZUtQ3f0AnTkRAEAUhfffFj79EJRxxaWmqf/KSKueVXTRocUym13uGbvK/3ywhZNwMh4hFE0ohe9w3tHRsXr1arfbrdPpMjIyDhw4wHFcSkrKY489NrAL/YoVKziOu+mmm6666ioAEEXxqquuOk6Wnpyc/Pzzz4/GP2BUhMNhr9cLADqdTvk988ctn8/H8/zJNF9EsuB53u12A0BMTIzBYJA7nCgjVZbx764FngcAyhjLrvopnTFhJJ4oEAiEQiGLxXJKjwpJ0j37D7zY0RU5LNDr3s/PzVFSYf+YIQiCy+UCAI1Gc/KbxaBRFgwG/X6/zWYbkZ8uCML7b4m7d0aO6NxpqutvBiVtSfBWd88v6xu7Dq2En27Qv5qbU2Q4s578w0qSpEgHKLVaHRsbK3c46OhCoZDP57NardjETpkIIQ6HAwBYlo00VhszFD0DDwDJyclPP/30BRdcoNVq6+vr4+Lili9f/sQTTxz/sqCnpwfn2BFCaDQQIm7eyL/5al/2npSiuvuBEcreT099MDRvd2V/9n5dQvwPxdMxe0dopLAse82N7LIrgaIAQKqt4Z55gjiHNiSW0XUJ8XtnF9+WnBjJuip9/jmlFQ83NuNUPEIoKih9Bh6dDJyBjwo4A69wOAN/OgSeX/eWVL4rckRPLVBdtwrUIzjVdqoz8O/3OG6r2+8WRABQUdTfsjPvT0sZufAQzsBHhZGdgT9Eqirn31kLPAcAlMHIrrqdnnC89sOjb7PLfXtdfUMwFDks0Oteyc2ZaZT//R9n4KMCzsArHM7AI4QQQoMQr4d/fk1/9s4sOle16vYRzd5PCSeR++sbV9TURrL3NI16c2EBZu8IjRq6oFD98/uoWBMAEJ+X//c/xNIf5Q5qkMVxpoqSwnvTkiNXw1X+wNzdlb9rPIhT8QghJcMEHiGE0CkjbS38Px6Xmg8CALAsu+I69pLloJhZiIOh8KLyqqdb2yOHF1riykoK55lwQhihUUWlpqt+8SsqNR0AQBCEd9cKn38MSqr91DPM05Mmbi4qmKSNAQCBkEcPts7dXVHjD8gdGkIIHR0m8AghhE6NVFnGPfs0cbsAgNLrVbffxcw6S+6gDlvXYy/cVb7D4wUAhqL+nJXxecE0G+4nipAcKJNJ/fP76ILCyKH47df8q/+GUEjeqIZYaIqtKCm6Ly0lcllc5vOXlFY80dKOM/EIIQXCBB4hhNBJO9yyjgMAKilZ9Ytf0VmT5A6rT1CS7qs/sLKmziUIABCvUn1eMPV3E9JxrziE5KRSq264hV162eG2dv94nPR0yx3WIDqGfmpS1vdF07O1MQAQkqQHGxoXllf2r5BHCCGFwAQeIYTQyeHC/NqXhS8+iVTA0nn56rseoCxWucPqU+bzF+0qX9PaETm8wBJXOavwAsuY6luDULSiKGbxEtUNt4BKDQDE3s0/86TUsF/usIaaZzLunll4c1JC5HCb2zuztPyNLmXda0AIjXOYwCOEEDox0uvg/vWkVF0ROWQWn6+66acK2duZADzZ2n7W7sq6QBAA1DT1eHbm/02flqRWyx0aQugwuqBQfdf9VJwZAEjAz7/4L3Hrt3IHNVQsy7ySm/NBfm68SgUAbkFctXf/DXv3RdphIoSQ7DCBRwghdALS/jruH4+RznYAAFbFXruKXbpMIS3rmkPh8yuqH6hvDEsSAEzWaX8omv5geqoigkMIDUalpKl+8WDffnKSJHzyvrDuPyDwcsc11BU2a9WsokusfTu/vtnVU7Sr/AePV96oEEIIMIFHCCF0fOKObfwrz0EgAJF+VHfeyxSVyB1Un3U99qLS8q+d7sjhjYkJpTNnFCtgG2eE0LFQxljVz+5lZvd1vhR37eD+9SRxOeWN6kiJatWnBVNfy83RMTQANIZCi8qq/tDULCqpiz5CaBzCBB4hhNAx8Lzw9hvCB2+DKAIAnTlRde9qKn2C3GEBAHRz/BXVtStr6np5AQBsKtW6abmv5+UYGEbu0BBCJ8Iw7FXXscuvBoYBANLeyv/z79LBRrnDOopVSQk7imfk63UAIBDyx6aWc8qrW8Oc3HEhhMYvTOARQggdBXE5ueeeFst2Rg6ZOfNUd9xDGRSxlfqHdkfBrrKP7I7I4aVWS9WswhXxSmmnhxA6GcxZC1V33EMZYwGAeD38c0+LmzfKHdRR5Ot1P86ccXdqcmRhzvduT+Guss8ciisZQAiNE5jAI4QQGkraX8s//TfS2gwAwDDsldeyV14LCpjc7uL5Ww62Xlld283xAGBkmBemTFpfkIf96hCKRnTmRNUvHqRS0wEAJEn44hNlLonX0vQ/cyZ+XJAX6Wzn4IVlVXt+1dDEYzk9QmjUYQKPEEJoAELEzRv4l58jAT9EVqvecQ8zZ57cYQEArOuxz6qq/cTd10dqnsm4u6Tw9uREeaNCCJ0JKs6s/vn9TNGsyKG4awf3zFPE2StvVEe1zGqpnlV0vjkOAAjA31va5u2uPIAbxSOERhcm8AghhA7hwvx/XhG+WA+SBJHJsftW05kT5Q4LGkOhCypqVtbUOQQBAAwMsyZn4veF0ydpY+QODSF0xlQq9tob+8t8SFsLv+YxaV+t3GEdRYJa9cX0qQ9npkcuoHd5fSWlFR8eWs6DEEKjABN4hBBCAACkq5Nb87hUVR45ZOYt6l+eKiOekMda2gp2lm9wuiIj5xkgoTvyAAAgAElEQVQN1bOK7klNpnGnOITGkL5GG5El8QE//8pz4uYNoLwadYai/piZsWFGfmTljlMQrqqufaC+EcvpEUKjAxN4hBBCIJWXcv/8O+npAgBQqdiVP2EvXyH7ovdNTveMnWWrG5r8oggAVhX7YvaEd7PSJ8Ro5A0MITQS6MyJqnt/fXiX+C/W86+/CMGA3HEdxblmU3lJYX85/ZOt7WeXVbWEw3LHhRAa+yiC9wtPxOl0SpIkdxTH0/8iUhROSClX5GXC10jJxumpJIqaTV+qDnWbJ3Hm0PKVYkKSvEF18MLDHV0fHlruDgBXmmL/X0qijWUIIePrBYo24/Q8iipK/zwa/KYkmeLCy1eKicnyBnVUEoG/d9sf73FENoe3suwzaUnnGQ1n/pOV/hohfI2iQRR9HhkMBo3mZCcnMIE/sUAgoPDfkiiKHMcBgEqlYllW7nDQ0XEcJ0lSTAwu2VUoSZLC4TAAMAyjHj8tzT1u9v23oOVg5Ijk5ErLVxKtVsaIwpL0bLf9L22dvkN3TqfEaJ6YkH52rAEABEEQBAHPI8Uap+dRtBEEged5raxn+gnR1eXU+g8pngMAYFnpvIukOfPlDuroNnu8txw42MMLAEAD/Dol6aGUROYMEgZCSCgUAjyPlC0qzqNxLhgMAgBN0yefG8tFo9GcfBKHCfxYEA6HvV4vAOh0Op1OJ3c46Oh8Ph/P82azWe5A0NHxPO92uwEgJibGYBiG+RPlk+r2CG+/Eek2DzTNXnAJs3gJyHeXmgC8221/qPFgf1dnA8P8fkL6L9NTVIeiCgQCoVDIYrHIFSQ6PkEQXC4XAGg0GqPRKHc46OiCwaDf77fZbHIHcgKkq5N/46W+pT0AzMzZ7BUrQaXEhLY9zF27p+57tydyeK7Z9FbelAS16vR+miRJvb29AKBWq2NjZW5Ego4lFAr5fD6r1ar82d3xiRDicDgAgGXZuLg4ucMZTrgGHiGExh9JEr74hH/l+b694gxG1e13M+ecL2P2/r3bM3d3xbV76vqz95UJtr2zi1dnpKrw2gihcYlKTFLf+yt6RnHkUCz9kfvH30lXp7xRHVWKRr2pMH91Rmrk3WqT011cWv6Dx3uChyGE0KnDBB4hhMYX4nbxz68RN2+MtHems7JV962ms3Pkiqc2ELyiunZRWdWPHl9kZKbR8E1h/jtTp6RplDjVhhAaPWqN6vqbD+8w19XBrXlM3LJZ7rCOgqWov07M/LggL45lAaAtzC0ur1rT2iF3XAihsQbXSyOE0Dgi7a0W3v1PX9k8RTHzFrGXLJer23xjKPSX5raXO7qEQ4u50jTq309Ivz05CbeIQwj1Y+bMo9PS+f+8Qhx2EHhh/QekrYW9YiWoFbeudZnVUlFSuKKmdqfXx0nkvvoDm13uV3JzTKzMm3oghMYMnIFHCKHxQRSFTz/kX3uhr2xeb1Ddeid72VWyZO/1wdBNtftzduz+d3tnJHuPY9m/TszcP2fmHSmYvSOEhqJS09X3/JrOnxE5FHfv5NY8Tjra5Y3qqDJiNN8WFdyclBA5/NDumFdWWRcIyhsVQmjMwAQeIYTGPuLs5Z9fI37/TV/Z/MRJqvv+i56cN/qR1AWCt9Tuz/tx9+ud3ZGNl/QMszojtX7OzNUZqTE0fiohhI5Bq1XdeBu78iegUgEA6eni/vl3cctmUF4/Zi1Nv5Kb8+8pkyLvaXv8gdm7Kz7occgdF0JoLMASeoQQGuPE0h+Fj9dBOAwAQFHMeRey510Eo54qf+/2PN7S9qm9Vzo0omPon6ckr05PPe1ezQih8YaZOZtOSub/8ypx9ETK6aWG/eyK6ym9Xu7QhvppcmKxQb+iprYpFPYI4oqa2tUZaY9mZZzJDnMIIYRzHQghNHaFQvzbrwvvro1k75TJpPrpL9jzLx7N7F0isN7RO7+sclFZ1SeHsncNTd+RklQ/Z+bj2ZmYvSOETgmVmq6+99d0UUnkUNpTxT/1F6lhn7xRHdVMo6F0ZuFFFjMAEIC/NreeW1HdyXFyx4UQimI4A48QQmOT1HxQeOtV0ttXtElPLRjlSapOjnu5o/vFjq7GUKh/0KJif56SdE9qSiLm7Qih0xYTo7p2lTg5T/joXQiHicfNv/Av5uwl7AUXy9WV81gsKvazgql/aGr+n4MtBOA7l2d2aeV703JnxxrkDg0hFJUwgUcIoTFHksTvNglffQaiCADAqtily5j5Z4/ONu8SgQ1O1787Otfbe/kBa1OzYmLuT0u5LTlBr7DLa4RQlGKKZ9FZ2cJbr0kHG4EQcfMGqa5Gde0qKilF7tAGoSn4U1bGrFjDqr37XYLQEg4vKq96elLWz1KS5A4NIRR9MIFHCKExhdh7hHdel5oPRg6ppGTVdTdTScmj8NR1geBb3T2vd/YMnHIHgDmxxl+mpayIt+LKT4TQ8KLMFtXP7hW++kz89msghHS0c/98gr3kcmbugtG5ZXnyllktO2fOuKqmttLnD0vSnfsatnu8z07OxuadCKFTggk8QgiNHeKOrcKnH0JkgSVFMWctZC++PNKxeeS0hrl3unve7Lbv9voGjptY5obEhDuSE2cYFNdcCiE0djAMu/QyOidXeHctcbuA54SP1kl7q9mrb6CMsXIHN8gkbcy2ooI79jW82dUDAK92dlf6A+9Py82MUdyG9gghxcIEHiGExgLi8wrvvSXtrY4cUrEm9urrR3SjuP3B4Cf23k8cvVtcHmnwl+bGGn+anHhNgg2r5RFCo4OeNFn9y9/wH74rVewGAKluL//E/7JXXkMXFMod2iB6hvlP3uQ5RuOvGhp5QnZ7fSWl5f/Jm3KhJU7u0BBC0QETeIQQinpSZZnw0bvE748c0gWF7BXXjES/OpGQbR7venvvekdvbSA45KvZ2pjrE+KvS4zP02mH/akRQugEtDrV9TdL+TP4D9+BQIAE/Pzal+npRewVKymdsuqA7k1LLjbqV9bUdXCcgxcurqz5Y1bGf09IV1bRP0JIkTCBRwihKEb8fuGjd6XKsr7jmBj2shXMzNnD+BQSgQq/f7PL/Y3T/Z3b7RbEId+QrFavTLBdnxCPTZURQrKjpxepMzKFd/8T2VhOqizjGxvYq66l8/LlDm2QBabY0pIZ19TUfe/2SAC/b2z+0eN7PS8njsWLc4TQ8eB7BEIIRSupulL48B3i80YO6ezJ7NXXU2bLmf9ktyDu8np/9Pp2eLzfuz29vHDk9+TrdcuslmU2yxyjkcZpI4SQYlBxZtVP7xa3fiv833rgeeL18K/+mymZw156JWgVVB+UrFZ/XZj/64amp1vbAWC9o3dWacX703LzsYgJIXRsUZDAh0KhtWvXbt++3ePxZGdnFxYWrlixgjnFdZWbNm167rnn1qxZk5SEO3YghKJfIMB/8p5UtqvvUK1ml17GnLXwtLsud3JctT9Q4w+Uev07vd66QJAc7dv0DDPfZLzYYl5mtUzUxpxm8AghNNIoilmwmM6dKrz7H+lgIwCIu3ZI++vYq66jp4xgc5BTpaKopyZlzY01/rSu3ieK9cHQWWWVz+VkL2WxNT1C6OiUnsDb7fY///nPjY2NAGAymWpqampqaioqKn77298ajcaT/zkbNmwIDd7WCCGEopRUWSZ8/N7hifesbPbqGyir7SQfHpKkA8FQQyjUEAztCwT3BILVfr/jaHPsEVqaPstkXBxnOifONNtoVONsO0IoSlC2BNWd94nfbxK++gIEnrhd/MvPMsWz2WVXgk4nd3SHXZtgK9DrrqqprQsEA6K0qnb/bVbznxLj1XIHhhBSIKUn8E8++WRjY+O0adMefPBBm83W3t7+6KOPVldXv/TSS/fff//J/IRAIPD222/X1NSMdKgIITTSiNcjfPyeVFXed8yq2POXMovOhSO2EXYJQjfHd/N8a5jr4LiWULiT41vD4QOhUHuYO+rs+kA5Wu2sWMMso2GW0VBiNGhwm2KEUJSiaebsJXRuPv/uWtLaDADi7h+lfXuZiy8f3nYhZ2iaXvdj8Yyba/d/aHcAwEsOZ0Uw9Hr2BGXtg4cQUgBFJ/C1tbVVVVUGg+Ghhx6KzLenpKQ8/PDDd9555zfffHPDDTfEx8cf5+EbN2786quvGhsbw+HwaIWMEEIjIiCI7rJS96avnALvsyR4WdaflOopmeOO0bkam52C4BIEBy/Yed7OC3ae58kJk/TD9AwzVafN1+um6nUzDPoSo8GMXZQQQmMIlZikvvsBcdt3wpefAscRn1d4d61UWcZeeQ1lUsr+bbEs835+7t+aW/+7sVkkZFcguHBv/VvTmPPNSokQIaQEir5E27ZtGwCUlJQMrJZPTEzMy8urrq7evn37smXLjvPwpqam9vZ2jUaj0Wi8Xi85lctZhBAaIUFJcvCCg+fdgugWBbcgugXBLYgeUXQLgk8UfaLkE0WnIPhF0S9KPlF0CULf+9eccwb9rI6eU312DU1nxWiytTETY2KytTGTtNo8nTZLG4Nl8QihMY6m+1bFv/eW1NgAAFJtDffk/7JLL2dmn3XaDUSGFwXwXxlps4yGa2tqewTRIQhLK/c8kpn+3xnpuHoJIRSh6AS+oaEBAIqLi4eMFxcXV1dXR756HLfffvvtt98e+e+f/OQnHo9nJIJECKGBXILQEuZaw+Fuju/kuE6O7+b5To6LJO0OXghK0ogGYGCYeJUqQa2yqdh4lSpdo0lSq9I0mhSNOlWjTlThGnaE0PhF2RJUP7tX3LFV+OITCIUgGBQ+eFsq3cFeeQ2VlCJ3dH0Wm2I3ZWfe3tK+IxAUCXm4sXm7x/tG7mSLStHX7Qih0aHoN4L29nYAsNmGdmaKjLS1tckQE0IIAQCARxDrg8H6YKghFDoQDLWEwy1hrjkU9olDt0k/E3pJ0gmcQRTjeE5PiMFqi7VY4lg2lmGMDBPHsnEsE8eyZhUbx7JmlrWp2Bhcr44QQsdBUczcBXTuNOGjddLeagCQDjZyax5jFp7DLrkIVIroHJekYj/MSn+0p/eZbjsB+NzhLCotf2fqlLmxp9DCGSE0Jik6gff7/QBwZLd5g8EAAIFAYHTCcLlcCi+/7w8vFArhgn/FkiQJAJxOp9yBoBMIh8M8zw8Z7BKE2lB4bzBUF+ZqQ+GGMGcXjtm2/Vi0NGVmGAvLmhnGzNAmhollmFiGjqWZWIY20HQsy8QyjJ6m9eGgZeu31srdEDm7KUqYXsQvvoAcawdjSQROBC4cBAie8r84mhBCCCF4HilW/+cRx3H4MilW5GXCFwguv5rNnaba+Dnl9YIoips3CuWl3PmXiNk5ckcGAKCiqD8m2mbptPe0tHlFqTkUXlRW9YeUxDttFqyjUoLIeeRyueQOBJ2AKIrKf7vT6XQajeYkv1nRCXzkGlp7xAWrTqcDgFHLVEVRVHgC308a4dJcdObEYZ2eRSOBEMIL4gGOqwyFKoLhymCoJhx2Cif1wsWzTIpKlaJiU1UqG8sksmw8y9gYJknFWlk25mTWWEqSqqJUs2UzFerLxCVbQuiCS8TUdAAA/PsBADyPogEhBF8mhcMXCADESVO49Ez1lm/U5btAkiiXU7NurTBpSvjcCyUFNLcjhFxi0E2ZOOHW5ra9YY4n5L/bOrd6/WtSE00MI3d0CADPo2gQFZ9Hp5RsKjqBNxqNLpcrGBw6nxSZez+lfeARQuj47IK4MxDcGQzuCgSrgmHfcW+HaWkqS62eqFFnqlRZalWWWp2mVqWoWM2ZtUFiOts1G79gOvrWBxGW5WbP5+cuIHihhhBCI4NoNOHzLhIKijRffRp5+2Xr65imBn7mHO6sRUSlkjtAmKRRf5md+V/tnW+5PADwucdbEwq9mJ5SqI2ROzSEkAwUncBbLBaXy+Xz+YaMR0bMZvPohGG1WkfniU5bOBz2er0AoNPpIuUJSIF8Ph/P86P2d4tOxv5g8Bune6vH+4Pbu/+Ie4X9DAyTp9MWGPR5Om2BXp+n02bEnGyZ00kiXo/4+Sdi2U44dAuWzstnL7sqxqL0959RFggEQqGQxWKROxB0dIIgRApKNRoN3mdXrGAw6Pf7j+wxNK7ZbJCbJ/6wRdjwGQSDlCCod2zV7K9ll11JTy0Y5VgkSert7QUAtVodG9u3E/ybCfEXdnbftb8hIEoHOf7SxpbHsjN/kZqM5fRyCYVCPp/ParVSytjCAA1BCHE4HADAsmxcnPwFNcNI0Ql85HcdeQsbKLKMQfl5NUJIgVrD3Cana5PLvcnpbjnGShwTyxQbDMVGw0yjvthgyNFqR7BzuyCIW78VNn0Fh2rmKauNXXYlnZc/Yk+JEELoCDTNzF9EzygSv1gvlu4AQkivg3/tBXpyHnvpFVRiktzxwU1JCSVGw9U1tXsDwbAk3bv/wNdO18tTcrA7PULjiqJP+IyMjN27d5eXly9cuHDgeEVFBQBkZWXJFBdCKMqEJel7t+eLXucXDufewFFm2mmAKTrtTI16jl43P85UaLOOzu10qbpS+Pwj4rD3HavU7DnnM2efC6z8RZsIITQOUQYje/X19Jx5wkfrSFsLAEj79nJP1TFzFzDnL6V0ennDm6bX/Thzxt37D7ze2Q0AH9t7C73lb06dvMAUK29gCKFRo+gEfvbs2R999NGuXbvC4XB/Xz6Px1NVVaVWq88++2x5w0MIKVxrmPvU0ftFr/Nrp9t/RP8ShqKKDPpz4kyL40xnmYwGQtxuNwDExGhGIXsnHW3C+g+khv39I3RBIXvJcsqMxeEIISQzOiNTfc+vxB+3iV9+Svx+kCRx23di2S52yUXMWQtB1r4kBoZ5LTfnvDjT3fsP+ESxJRw+p7z6D5kZv81IG8FiMYSQYig6gc/Pz58yZUpdXd2aNWseeOABhmHC4fBf/vIXnueXLFmi1x++CfrZZ59JkpSXlzdp0iQZA0YIKUG1P/Cxvfcju6PU6zuyp+dUve68ONO5ZtPZcSYze/g98Mit40YIcbvFDZ+LpTvgUJ88KjWdXXYFnYVvXwghpBgUxcyZz0wvFr7+P3HbdyCKEAwI6z8Qt29hL7qMzp8ub3SrkhLmxBqv3VNX7vMLhPyu8eAml+v13MmpGkXsY48QGjmKTuAB4IEHHli9evX3339fWlqakZFx4MABjuNSUlJuueWWgd/2yiuvcBx30003YQKP0PhEAHZ6fOt67B/aHQ3B0JCvGhjmPLNpqcV8kcU8Ybj7z52CUFDYvFHc8i3wXGSAMsYyF17KlMwBbIGDEEIKpNWyl17BzF0gfPaRtKcKAEhPN//Gi/SELObiy+nMiTKGNkWn3V48/VcNTf9q6yAAm5zu6bvK/j150lXx2CUKobFM6Ql8cnLy008//eabb5aWltbX11sslnnz5l177bXYax0hFLHL63u3276ux94UGtqRLjNGc7nNusxqXmgyqeWtLBRF8YfvxU1fEr+/b4RVMQsXs+dcABr5bigghBA6CZQtXnXTT6X6fcKnH5COdgCQDjZKzz5FT5vOLl1GxSfKFZiGpv+RM/E8s+n2unoHL/Tywoqa2tuSE5+alGXA/UcRGqOoU9o1HikTbiMXFXAbueFV4w+82d3zdrf9wBHz7UUG/eU26+U2S6HhFLoN8Tx/aA18jMFgGLZAJUks2yVu/IL0OvpGKIopnsVccAkVh38Mpwy3kVM43EYuKuA2cqePELF0h7jhC+Jy9o3QNFMylznvwmF8Sz/qNnLH1xbmVtXu2+R0Rw5ztNq1eZNnxw7fZxk6Am4jp3C4jRxCCClCW5h7u7tnbVdPuc8/cJwCmBVrWBlvWxFvk7NIfiBCpKpyYcPnpLurf4yeMpVdehmVnCJjXAghhE4TRTElc5kZM8Wt3wqbN0AwCJIk/rhN3P0jM2c+c875lFGebvCpGvWG6fl/b237XeNBTiL7g8EFZZUPZ6b/JiONxfQSobEFE3iEUBTwi+L7PY7Xuro3O93S4C+VGA0rE2xXx9syFZK3AwCAtLda+Ooz0t7WP0KlZbAXX05n58gYFUIIoWGgUjGLlzCz5wmbvhR/+B4EAQRB3Pqt+OMPzLxFzOLzZNltjqbg1+mpS8xx1++pqw0EeUJ+39j8ib339bzJuTrt6MeDEBohmMAjhJSLAHzrcr/a2f1+j8M3eB+4yTrt9QnxNyTGT9LGyBXeUUm1e8Svv5CaD/aPUEnJ7PkX09OmY6c6hBAaO3Q69tIrmAWLxa+/FEt3gCgCz4nfbhR3bGHmn80sWCxLGl9k0JfOLPxVQ+Nz7Z0EYKfXV7yr/NGJE+5LTcFN5hAaGzCBRwgpUWMo9Gpn9+ud3UNa0yWqVdcmxF+fEK+4pX2ESHurha+/JK3N/WOULZ5ZspQpnImpO0IIjUlUnJm96lpm8RJx4xdieSlIEoRC4tdfils2M2ctYhadQ+lH+9NKx9DPTM6+3Ga9vW5/a5gLStID9Y0f2R2v5uZkxSjrljdC6DRgAo8QUpCQJH3Q43i5s+ubwaXyMTR9mc2yKjHhIksco7RkmBCpplL4+v8GFcybLcx5FzIz5wBNyxgaQgihUUBZbew1NzKLzxc2fC5VVwAhEA6LmzeI275l5i5gFp07+mvjL7TEVc0qund/4xtd3QDwncszfWf5/06ccFdKMk7FIxTVMIFHCClCmc//UkfXm109TkEYOD431rgqKeHaBJuZVd77lSiK5aXit1+Tro7+McpsYRYsZubOB1YlY2gIIYRGGZWYpPrJraSrQ9y8sW82nuPE7zaJ275jphcx515IxSeMZjxxLPt6Xs4V8ZY79zV0c7xPFO/Zf+DtbvuLUybhqniEopfyLogRQuOJRxDf7u55oaNrl9c3cDxRrboxMeHW5MQ8ZV5kcGFxxzZxy+bDOwlFCubPvZApKsFZd4QQGreoxGT2mhuZcy4QN30lVpSCJIEgiLt3iuWldEEhu3gJlZI2mvFcYbPOj429e3/Dez0OANjq9hTtKv/9hPRfZ6SqlFbRhhA6CZjAI4TkscPjfaGj651u+8DudCxFLbWYb01OuMRqUeaFBfF5xW3fiT98D4FA/yCVlMwsPp+ZUYypO0IIIQCgEhLZa29kllwkfrNBLNsJogiSJFXs5ip205NzmUXn0TlTRi2YBLVq3bTcD3ocv9h/oIPjQpL0340H1/XYX5wyaaZRYQ1lEEInggk8QmhUuQVxbVf3Cx1dFYM3cs/WxtyWnHhzUkKyWi1XbMdHOtrELZvF8lIYUORPZ05kFi+hc6dhmzqEEEJDULZ49urrmQsuFrdsFndshXAYAKR9tdK+WiophVmwmCmaOWrrra6Mt55jNj1Y3/hqZzcBKPf55+yuvDs16c+ZE2JZZnRiQAidOYoQIncM6EyFw2Gv1wsAOp1Op9PJHQ46Op/Px/O82WyWOxDZ/ODxvtDe+U6PPSAe7k+noenlNsvtyYnnmePkzYB5nne73QAQExNjMAyYkSBEqt8nbv1Wqq2B/jdMiqJzpzGLl9CZE+UIdvwKBAKhUMhiscgdCDo6QRBcLhcAaDQao9Eodzjo6ILBoN/vt9lscgcyzoRC4q7t4rdfE4+7f4zSG+hZc5l5Z1MmU/+gJEm9vb0AoFarY2OHv/vdRqfrjrqGxlAocpiiUT+RnXVNAv49nJpQKOTz+axWK4V38BWJEOJwOACAZdm4uDi5wxlOOAOPEBpZLkFY29Xz7/bOKn9g4HiuTvvT5KRVSfE2lVKbvQUC4q7t4vatxNFzeFClYopmMQsWU4lJ8kWGEEIo2sTEMAsWM3Pmi7t3ilu+Id1dAED8PnHzRnHLZqagiD5rAT0haxQCWWKOq5pV+KeDLU+2tPOEtIe5a/fUvdzZ9c+ciTlaRfadQQgNgAk8Qmik/ODx/ru9893BU+4xNH1VvPWO5KSFcbGKvWVNWpvFH7aIFaXA8/2DlDGWmbeInjOf0utljA0hhFAUU6mYOfOY2WdJ+2rFLd9I++uAEBAEsWynWLaTSkljzlpIzSga6Sj0DPPXiZmrEhN+vq/he7cHAL7qdU3fWf7LtJSHJqQZGKyoR0i5sIR+LMAS+qgwfkronYKwtqvnhSOm3PN02jtSklYlJlhUSrx1yPO8x97D1u5RV+6m21sHfolKy2Dmn83MKAa8ppEbltArHJbQRwUsoVcO0tUpbtkslu0Cnjs8qtVyU6fzBUVsatpIlNAPCgDgtc7u1Q1NPYduWCer1f87ccKNiQm4XfzxYQm9wo3hEnpM4McCTOCjwnhI4L93e15o71rXYw9Jg6bcV8Rb70hJWmga2auQM0FaDvLbt0qVuyluwCUUq2KmFzHzFlLpE+QLDQ2CCbzCYQIfFTCBV5xgUCzdIf6whdi7Bw6T1HTVWQuYGcWg1ozo8/fywm8ONL3U0dX/4T3LaHhq0sR5JjyLjwkTeIXDBB4pGibwUWEMJ/B2nn+9s+eFjs7aQHDguMKn3AGA+P1S+S5x5w+ko33gOGWxMnPn0yVnYbW80mACr3CYwEcFTOAVihCpvk78YYu0txoG3AcHjYaZUUyXzB3pFfK7vb776xsjFfUAQAFcmxD/6MSMrJiYEX3eKIUJvMJhAj+ucRyn8N8Sz/OhUAgANBqNWqlbcKFQKCSKon4MJYQSga/dnle77eudTk46fI5oafoKi/m2pPj5it1dVhBg314oL4X9tTBgF3pgGD57Mimepc7Lx23hlInjOI7jBm0TgJREFMVAIAAAKpUqBi/6lYrjuHA4jHdYFIu4XfyOrWxlGT2gXz0AgNUGM4qhsATiRmoygAC8b+99qLm1OdxXj6amqdsT4n+blhKv1HvxcolcfhsMBkzglYkQ4vP5AIBhGOVPcLIsy5z0Ok1M4E/M4XDgbwmhgVp44S2n6y2Xp5XjB47nadSrrOYVJmOcMteKE0K3t6r3VrO11VRwULGAZLHx04v4adOJbuzcYUEIIRTFCGGaDqiqylT1dYPuNVOUmJrO5xcKOblkZAJRMjMAACAASURBVG6ThQj5l713TU9v4FAhgJ6m77KZ77JZDDQ9Es+I0DhnMBhO/q43JvAnpvxfUTgcjtxh0mq1yr/DNG75/X6e56O6hicgSu/b7a919Wx2ugfU9oGRYa5NsN2alDAnVqHzOaSjTaookypKibN30BditMz0QmrmHHpCFs/zHo8HAGJiYsZSocQYEwwGQ6HQmFyKMjYIguB2uwFAo9FgoYRiBYPBQCBgtVrlDgQdnSRJTqcTANRqtdFoJH6/VLZT2r2TDG6wCixLT86jZxTTU/NBNfwFmJ0c9z/NbS+0d/KHroTjVarfZKT+LDlJx2AaD6FQyO/3WywWnIFXJkJIb28vALAsazKZ5A7nxE7+DwkT+LEA18BHhaheA7/V7Xm1s/vdHrtHEAeOzzfF3paceHW8VZlbzpCuDqmqQqwojWy3exhN05NzmeLZ9NQCOLQLPc/zkcQjJiYGEw/FwjXwCodr4KMCroFXOEmSIomHWq0e2IWedHaIpTuk8lIypLReraanFjDTi+jJef0fasOlPhj6fePBd7rt/QlDolr1q/TUn6ck6RX50T9qcA28wuEaeKRomMBHhWhM4BtDoTc6e9Z29ewfXHCepFbfkBh/W3Jink4rV2zHQdpaxOoKqaqC9HQN+RKdMYGeMZOeUUwZh7bExwQ+KmACr3CYwEcFTOAV7lgJ/OEv19dJ5aViTRWEBn06g1pN505j8mfQudNAM5yN63d7fQ81Hvyy19U/Eq9SPZiecndqsjLv4I8CTOAVbgwn8NiOAiE0lEsQ1vU43ujs3uL2DLzDp6apSyyWW5ITllrMrNI+riRJamyQ9lZL1RVD6+QBqKQUZkYxXTiTsmDJKEIIoWhG0/TkPHpyHivwUu1esaJU2lsNkV3cOU6qLJMqy4BV0TlT6GkFdO60I29Yn4Zio+H/pk/b6vb86WDLV70uAOjh+d8cOPhYS9vdqcl3pyQnqId55h8hdCyYwCOE+gQlab29961u+xe9zvDADWwAio2GmxITrku0xQ93bd6ZCgalfXvFPVVS3V4IBoZ8kUpKpvMLmemFVGKyLNEhhBBCI4VV0fnT6fzpwIWlPVViVYVUtxd4DgBA4KW91dLeaqAoKi2DmVpA502jklPP8Annm2K/nD5tu8f7p6aWL3qdAODghT81tTzW3LYqKeHB9JQcrRLr8hAaYzCBR2i84wn5qtf1dnfPx/ZerzhoiXuaRn19YvyqxIRpeiUtzSCEdLRJ+/ZKdXulpgMw+F4DUBSVms4UzKDzZ1C2BJlCRAghhEaLWkMXltCFJcBzUu0esbpCqq2BUAgAgBDSclBoOQhffkrFmekpefTkPHrSFDiD9vVzY42fT5/6o8f354Mtnzl6CUBQkp5v73yhvfNym/WX6SkLTcMw548QOhZM4BEapziJbHS61vXYP7b3OgVh4JdiWWa5zXpjYvy5cXG0Yirlid9H6vdJdXukfbXE6xn6ZZalJ06ipxbQefnUiG2QixBCCCmXSk0XFNIFhSAIUsN+aU+VVFtDXM7IF4nLKe7YJu7YBjRNZ06kJ+fRk3OplDQ4rTVxs2MN6wvyavyBJ1rb/9PVE5YkCeBDu+NDu6NAr7srNfmGxHjjeF0ej9CIwiZ2YwE2sYsKCmliF5KkjU7Xez2Oj+29rsF5ewxNX2w1X5cQf4nVrFXIRq9cWDrQINXXSfX7SGc7HPF+RekNdO5UOi+fnpx3hg17sIldVMAmdgqHTeyiAjaxU7gTNLE7RaS9TdpbJe6pJm0tR/kY1emp7Bx60mR60uTTLlvr4Lg1rR3PtXcOvK6IZZmfJCbclZKkrCK+4YNN7BRuDDexwwR+LMAEPirIm8A7BeEzh/Mju+PLXpdvcJ28mqbOi4u7JsG23GY1sQq4WR4OS00N0oEG0lgvtTbD4GgBAGiazsikJ+fRU/Ko1PTTmzo4EibwUQETeIXDBD4qYAKvcMObwPcjfp+0r1aq20P21RK/78hvoExx9MQcamI2nTWJij/lZN4niq90dj/T1lEbGNQbf57JeFNiwjUJ8Yq4xhg+mMArHCbwSNEwgY8KsiTw+4PBzx3O9Y7eb10eYfDJrqap881xK+Jtl9ssZlbm1TTE6yEHm6SmBqmxgbS3Dl3WDgAAlNVGT5pMT5pC50wB7fD/nWMCHxUwgVc4TOCjAibwCjdCCfxhhJC2FmlfrVS/TzrYCAJ/5LdQxlgqK5vOyqYnZFHJqXDSdXkE4Bun+5n2jo/tvQMvPLQ0vdxmvSkpYYnZxIyJjBcTeIUbwwk8roFHaKwJSdJ3Ls/nvc7PHc4h+7cDgI6hLzSbl9ssl9kscTLm7ZJEOtulg43SwUZysJH0Oo76XZQxlsqe3FfaZ8acDSGEEDpjkdb0aRnMuRcAz0tNB6T6fVLDPtLW0n8DnXg9JLIjHQCo1XTaBCozi56QRaVnUnr98X42wLlm07lmU3uYe6Gj6+XOruZQGACCkvRWd89b3T0pGvXV8baV8bazTEZMfBE6DTgDPxbgDHxUGNEZeAJQ7Q9sdLo29Lq+c3v8R5Sd21SqZVbz5TbrBZY4eda3E0IcdqnlIGltJi0HpfbWvk1rj0CZ4qiJk+isSfTEbCo+cdQCxBn4qIAz8AqHM/BRAWfgFW7EZ+CPJRSSmg5IjfWkseHoS9gAAICyWKn0CXRaBpU+gU5NA/XxGtBIBL5xuV7r7Hnfbg+Ig8rr0jWaqxOsK+Nts2OjMpPHGXiFG8Mz8JjAjwWYwEeFkUjgm0Lhb13ujU7XRqe7k+OO/IYZBv1Si/liq3lerHG0K9YkiXR3Sm2tpL2VtLdK7W0QGloO0IemqYQkekIWNSGLzsqmLNZRjfMQTOCjAibwCocJfFTABF7hZEvgB+I4qbmJNB2Qmpuk5kY4oqCvD0VRtgQqNY1OSaNS0+mUNDjGhahXFNd121/v6vne5R6yTC5No77UallmtZxrNsUopIfuScAEXuHGcAKPJfQIRZn6YOg7l/tbt2ezyx0pSxvCyDDnmeMutpqXWsxpGvWoBUZ8XtLRTjrbSWe71NFOujqPuqwugtLrqfQJdPoEKiOLzsg8kw1pEUIIITTM1Gp60mSYNJkBAEJId6d0sIk0N0otzaS783CrGkJITxfp6ZLKSyMDVJyZSkqhklLo5BQqKYWKTwCGAQAjw9yanHhrcmJbmHuvx/5uj/0Htzcyi9ga5p5r73yuvVPPMOeb4y61mi+wxKWf2c4yCI1hmMAjpHRhSSr1+n/weLZ5vD+4vR1Hm2lnKWp2rOF8c9wSc9zcWCM78jeDic9LujpIdxfp7CA9XaSrk/i8x3uARkOnpPUX3ck1zY4QQgihU0NRVGIyk5gMs88CAODCUlsLaWnuWxY3uIsNcTmJywm1NX319wxDJSRSCUl0QhKVkEglJqXaEu5LS7kvLaU5FH6vx/Fej32Hxxu5H+AXxY/sjo/sDgCYotMuMcedZzadE2eSs2UPQsqD5wNCiiMSUhsIlnp9u7y+XV7fbp8/fLSu7AxFTdfrzo4znRNnWhxnih253VnCYeKwE3s36ekmPd2SvZvYu49ZTXcIZTBSKalUShqdmk6lpFFW23Dt94YQQggh2ag1dNYkyJrUd9kRDEodraQtslyulXR3DdpKRhRJRzvpaD88RNOU2UrFx6fEJ94Xn3C/LaEnPfkzXvy01/WV09XfxKcuEKwLBP/V1sFQVJFBv8AUu8AUO99kTFKPXmkhQsqECTxC8gtLUo0/UOEPVPr8pV5fmc/vO0bnGBVFFRsNC0yxZ8fFLjTFDvM9aUKIx02cvaTXAb124jj0v+NPrfdFpqYSEunkFCoxmUpOoZJTKQMuf0UIIYTGOq2WnpgDE3P6DkWRdHVInR2ks510tJGuDuJ2D/p+SSKOHuLogdo9kYE4gBtY1U8slrAt4buE5K8McV9TbI3QdyEkEhKZz3iqtR0AcrTa+Sbj3FhjidEw3aBX4dwAGn+iIIEPhUJr167dvn27x+PJzs4uLCxcsWIFw5zUZOOZPBahESIQciAYqgkE9vqD1f5Apd9fFwgKx24nmahWzY01zouNnWcyzjQahqGHPM8Rp5O4ncTlIi4nuJzE7SS9vcTVe6yWs0NptZQtgU6MlMMlUwlJlNmCE+wIIYTQeMcwVEoak5J2eCQUlLq7+pbddXWSni7icsKQ0kKBJ91d6u6uJXuqlgAAQKcm5htr0jdJqV9b4ttUh9fD7w8G9weDr3Z2A4CGpmcYdLOMxplGw3S9bqpeJ88+OwiNLqV3obfb7X/+858bGxsBwGQyRXpE5+fn//a3vz1he9szeWx0wS70StbJcfuDofpgqMblrg+GDghCXTDIScc77+JYdqZRP9NomGU0zjTqs06jwZvAE6+XeNzg8xKPm3i94HYSj4e4XcTjhmDgFH6USk1ZbZTVRtniKVsCFZ9AxSeMydl17EIfFbALvcJhF/qogF3oFU4RXehHlCAQew+xdxN7N+npIY4e4rATj/tY396k028z27aaE7aZbbV6IznGhAFDUZNUbIFeV2AyTdPrpui0OdoYzYil9NiFXuGwC71snnzyycbGxmnTpj344IM2m629vf3RRx+trq5+6aWX7r///pF7LEKnyikIrWGuMRhqCoUbQ33/fyAY8p7EnHZmjGa6QT9dr59h0Bca9NnamON9FIgi8fsg4Cd+P/i8JOAnPh/4fcTrAZ+X+P3E6znmhm3HQdNUrIkyWyizFSxWymzpy9tjTaf8oxBCCCGEjoVlqaRkKil50CDP9S3c63VEVvMRp4P09gIXzgz4MwP+69sOAkCvSrMjzloaZy41WXaZLD3qw5McIiF1HF/Hud9z9t0LYAAyJGEykXJZJkujztZqswz6iSaT1mDE7W9Q9FL0DHxtbe3q1asNBsPzzz/ffyO/q6vrzjvvlCTpxRdfjI+PH4nHRh2cgR8dAVFq57hOjuvk+A6O6+K41jDXGg63hbnmcDggHqXP3FGladR5Ot1UvW6qTjtVryvQ601EIuEQhIIQCpFgEIIBEgpCMECCQQgGSTDQl64HAyTgh/BRto47eZReD0YTFWemTHFUnBnizFTkf6Y4GN+rS3AGPirgDLzC4Qx8VMAZeIUb+zPwp4L4/eDqJW4XcfYSl5O4XeB29VUUimJLjK7UZKmINVfHmqqNcU0xumPNzw+UHA5mBgNpApciCRmEpNF0iopJVasSNRpNjA50WipGC1odpYmBmBgqJga0R7m6xhl4hcMZeHls27YNAEpKSgZeBCQmJubl5VVXV2/fvn3ZsmUj8Vg0rkgE3KLg5AWPKPbygkPge3mhVxAcvGDn+R6et/N8F8fbecF/kuvDB7BSkE3BJEmcJPJZoUBWMDCNC5vCAQiHSTgMoSCEQyQUCp/6Tz4OSm8Ag5GKjaX+P3v3HR9Fmfhx/JltyaaHFEIJASkJgjRDb5GT6ikdAfFADHr4AxVUsOB5igX1VBQVPEFAseOBoAiIggJSVTpKDwZCCIT0bLbM/P6Yu7m93SSEkLA7yef98uVreGae2WenbPa788wzoWEiJFQKC5dCQ0V4pBQWLoWHC5O5Cl8LAACg+kjBwSI4WGoQ7z1LKchvmpd7XW7OiLxckZ+n5OfkXfjjkMO1X0hHjObfg4KPBIemWUOcXgE7I8CaEWAt9eXqFNnrXroQW2KrZy+OspdE2e1R9pIYe0mMUOoYDJFGKcJgCLFYRKBVMhoDJYMrPFwKCBQWizBbJKtVmM3CZJasVmE0iYAAYbFIRqMItDJOEKqQXwf448ePCyE6dOjgUd6hQ4cDBw6oc6ujLvRCESLH6RRCFLhcDlnJd7mcipLrdMlCuVRcXOKSi2RXrtNV4nAUyHKBSy5wOAplV46sFLhc+bKcKyu5spJ/1Z1QJEWpay9paCuqbytOKC5MKC5sXFTYuLgwobgg1On0Xr6iV+q9mUySNUgEBUtBQSI4RAoJFcHBUlCwCA6RQkKk0DARHCIFhwhGcAEAADWdFBIqQkIltwHz6gjRQ4ge6j9KSpT83JL8gmN5eUcLi06UlJxwOE8p4oRkOGW22KTSvyxlmy3ZZsvhkPI6PphlOcJpj3A6Qp3OiEJ7aG5OiMsR6nKGOJ0RjpJAWba6nOEOh1V2WWVXiNNpkuVwl9MYEBAhy8JijhBCMlsks1mYzcJoEhaLkCRJ7dIfGCQkIZktwmQSkiQCrUIIYTZL6lOHAgKEwSiEEAGBktEghBCWgH93nzQaJe0BewGBfBWs2fw6wJ89e1YI4d3FSy05c+ZMNdX14HA4Kr6wT7hcLiHEtwf2uwwG49WfsS6ncOsNnicklygj4iqKcAuo+ZLkeR1ZVoTLaZMMxf/7u6MilBxFEsp/XyXXYFQUIRRFyHKRQSqRDEIIWRJ5klFdLNdglCVJEVKuwSiEUmIwFBmuXX9vsyxHO0qi7fZ6tuJYu61eSXHdElvdElsDW1EDW3E9W7FFqVQqVz+aAwJEoFUKDBSBVsUSIFmtwmoVgVZhtUrWICUwULIGi6AgYbUKS4B7bcXt///lclV0JHn8L+d/DmZZlv3/rK+1ZFkWevhYrrVc//n84TzyZ+puYgf5Le3+VkVR2E2VZzCI8EhjeGSiEIleM8/Z7WfsjrO2ktMFBWeKi8/aStIdjiyXnKnI2cplrpY7DIYsS6D77feVEOJymmXZIstBsksIYXU5A2VZOEWQy2EpLBJCSEKJcGSpC0uSCHc7EsyKHPK/l4jMshzsKuVQMRqNYdrXQoPhf26WNJmE268YVqEEmj2DoWK2CC+S2Vx6hwJJEqUt/18GgzBWOHtayl1VOS8ipHChCCEUIex2e/N69evFxfn/eWQ0Gg0VDnF+HeALCwuFEN430am3pxYVlTeS9tXU9ZCXl+fPIwVo7reLCxbTVVze1VhExX8E0PNN01aXK8zpCHc6wp32MIejjsMe6bDXcdgj7fY6Tnuk3R5tL4myl8Q4bBGlnfaKxSIMRsViEQERroAAyWRSzGbFZFaMRhEYqJjMwmRSAgKEyayYzSIgUDFbFLNJWAKUgEDFYhEWi3JFvdmLbaLYVmVvHmWz2+12u93XrUB5cnPLHKwYfkIbVAJ+ix3k/ziPqo9ViGZCNDMbRWS4iPyf8XrtipLldJ53urJdrotOZ7ZLznY6L7rkS05nrsuV43LlOl25Ljnn6tJBgdGk62/R1a6UPqwV95/fFwyBb2dmjoyJ8f/zKCQkJLDCAyv6dYBXfyyxWj3vUVHHaSspdyivq6kLvxXhcEhCkYQS7nQKIUJdLqOiBCiuIJdslpRgpxyoyIGKHCSERVHCXM4ASYQIESzLFqGESVKIUIJlOdhkDBdKsKKYTGb1l0jFEiBMJhFsUdRL3BazMBgVyaCoP/5ZrUVaXDebhcGgmC21fLw3AACAGskiSQ3M5gbmy19lyXG5Clxygfzv//JkucgllyhKrstVrCglipLrkl2Kku+SHUIpkhWbLNsUxakoBS6XECLXJQshbIps08GFQr2qkZvWrwN8aGhoTk5OcbHnA7HU6+flD297NXU9WK1WP78C73K57Hb7vUal2FlyRWNkKCaT+huVWSghFTzC/7f7TaAQ3mOAKEaTMBgkSQr3bozRGGE2uRcHCilQkoTZrBgMkiLCjf+++m8ymcIC/t15JtRgMEqS3mOz3W6XZbniv67hGpNlWf1pz2g0WirbcQvVzeFwuFwuziO/xXmkC06n0+FweF/kgJ9QFMVmswnOI//mdDojhKhXdY+tKXT9uxO8TZaL/3M3a54sy/+JIcWKUiL/t6ttiawUe93CeclR5pVrpxAFXndZSk6ne8hVFOF+e6xdKEWyIlwuUWoUKm2kp3+v1uW8TLBQFOXKb/mUZJeQr6CzsUuWW9aNNRgMAQEBl1/ap0ymK0jlfh3g69Spk5OTU1BQ4FGulkRGRlZTXQ/+/2C2kpISu93+YNs2PEbOn6l3sgUHB/u6ISidw+FQg4fZbGY3+S31MXLsIL/ldDrV88hkMrGb/FZxcTF/j/yZLMtagGc3+S2bzeZwOIKCgqrqMXLs6aqlPUbOYDDUsPPIr4coVB/Zpz4J092lS5eEEFFRUdVUFwAAAAAAf+PXAb5Ro0ZCiD179niU7927VwjRpEmTaqoLAAAAAIC/8esA36lTJyHE7t273cecy8vL279/v8Vi6d27dzXVBQAAAADA3/h1gG/dunViYuKlS5feeOMN9ZmlJSUlc+bMcTgcvXr1cr+Z4euvv169evWxY8cqURcAAAAAAP/n14PYCSGmT58+Y8aMzZs3//zzz40aNTpx4oTdbq9fv/5dd93lvtjixYvtdvv48eObNWt2pXUBAAAAAPB/fn0FXghRr169119/vV+/flar9dixYxEREUOGDHn11Vcr8hy4q6kLAAAAAIBf8fcr8EKIOnXqTJkypfxlli9fXum6AAAAAAD4P0lRFF+3AVfL5XI5HA4hhMlkMpl08KNM7eRwOGRZDggI8HVDUDpZlu12uxDCaDSazWZfNwelczqdLpeL88hvcR7pgtPpdDqdgYGBvm4ISqcoijoGs8FgsFgsvm4OSqd+/eY88mc2m03UxPOIAA8AAAAAgA74+z3wAAAAAABAEOABAAAAANAFAjwAAAAAADpAgAcAAAAAQAcI8AAAAAAA6AABHgAAAAAAHSDAAwAAAACgAwR4AAAAAAB0gAAPAAAAAIAOEOABAAAAANABAjwAAAAAADpAgAcAAAAAQAdMvm4AqsupU6ceeuih66+/fvbs2b5uC6Anp06dWrly5f79+3NycqKioho1ajR8+PCWLVv6ul2Av7PZbMuWLdu+fXteXl7Tpk3btWs3YsQIo9Ho63YBesLfIKBq1bxMRICvmex2+yuvvOJwOHzdEEBntmzZ8sorr7hcLiFEbGxsdnb2uXPndu3adfvtt48dO9bXrQP814ULF2bPnn3y5EkhRHh4+MGDBw8ePLh3797HHnssNDTU160D9IG/QUDVqpGZiABfMy1dujQtLc3XrQB0Jjc3d+7cuS6Xq2fPnnfffXedOnVcLtfq1asXL1786aeftm7duk2bNr5uI+CnXnvttZMnT7Zq1eqhhx6Kjo4+e/bsc889d+DAgUWLFj344IO+bh2gA/wNAqpcjcxE3ANfA/3yyy9fffVVeHi4rxsC6My3335rt9tbtmw5ffr0OnXqCCGMRuOQIUMGDx6sKMpXX33l6wYCfuq3337bv39/SEjI448/Hh0dLYSoX7/+3/72N6PRuHHjxqysLF83ENAB/gYBVaumZiICfE2Tl5f3+uuvR0RE0NUKuFLHjh0TQqSkpHjctdutWzdtLgBvP/30kxAiOTnZvbd83bp1W7ZsqSjK9u3bfdc0QDf4GwRUoRqciQjwNc2bb7556dKlqVOn1rxfm4Dq5nQ6o6OjGzZs6FFuNpuFEOpNiQC8HT9+XAjRoUMHj3K1RJ0LoHz8DQKqUA3ORNwDX6OsW7du+/btAwcOTE5OVq+HAKi4WbNmlVq+Y8cOIUTTpk2vbXMA3Th79qwQQu08704tOXPmjA/aBOgNf4OAqlKzMxFX4GuOs2fPLlq0qEGDBhMnTvR1W4CaY+/evV988YUQYujQob5uC+CnCgsLhRDeo82HhIQIIYqKinzQJqBG4G8QcKVqfCbiCnwN4XK51GckTJs2LSAgwNfNAWqCkpKSTz/99F//+pcsy3fccccNN9zg6xYBfkp9Qo/VavUoDwoKEkKUlJT4oE2AzvE3CKiE2pCJCPA1xMcff3z06NExY8a0aNHC120BaoKtW7cuWrTowoULgYGBd999d//+/X3dIsB/hYaG5uTkFBcXe5Sr1955DjxwpfgbBFRObchEBHidGTduXF5envbPnj17PvLII8ePH1++fHmLFi1GjRrlw7YBelHqeaT9My8vb/78+Vu3bhVC9OjRY8KECbGxsT5oJaAfderUycnJKSgo8ChXSyIjI33RKECX+BsEVFotyUQEeJ1p3769+82E6ogmZ8+elWX5yJEj3vdH7d2797bbbhNCvPrqq82aNbuWTQX8Vqnnker8+fMzZ868ePFio0aNpkyZkpSU5IsGAjoTEREhhMjOzvYov3TpkhAiKirKB20CdIi/QcDVqCWZiACvMw899JB3odVqrVevnkehzWa7dOmSxWJRvzmpzyABIMo4j4QQRUVFTz311MWLF2+++ebJkydz1gAV1KhRo19++WXPnj09e/Z0L9+7d68QokmTJj5qF6An/A0CrlItyUQE+JogOTk5OTnZo/Cnn36aM2dOy5YtZ8+e7ZNWAbqzYcOGM2fOJCcn33///b5uC6AnnTp1Wrly5e7du0tKSrRBg/Ly8vbv32+xWHr37u3b5gG6wN8g4CrVkkzEY+QA4N/Wr18vhBgyZIhcBl83EPBTrVu3TkxMvHTp0htvvOFyuYQQJSUlc+bMcTgcvXr1Cg4O9nUDAR3gbxCAiuAKPAAIIYTL5UpPTxdCzJo1q9QF6tWr984771zbRgG6MX369BkzZmzevPnnn39u1KjRiRMn7HZ7/fr177rrLl83DdAB/gYBqCCuwAOAEEJkZWVxfQOotHr16r3++uv9+vWzWq3Hjh2LiIgYMmTIq6++yjPkgIrgbxCACpIURfF1GwAAAAAAwGVwBR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAApZXEKwAAIABJREFUoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAfEOW5a5du06bNk39p6IoS5cu/fjjj7UFPvzwQ0mSpk6dWiUv573+ihszZsxNN91U8eVdLtf111//3HPPVeK1aiFdHAnsUwDwBwR4AAB8Y/78+QcOHHj88cfVf8qyPGHChPvuu6+aXq661+/OaDTOnj179uzZR44cuQYvp3e6OBLYpwDgDwjwAAD4QFZW1uOPP/7AAw/ExMT4ui3VYtiwYUlJSVOmTPF1Q/ydjo4E9ikA+BwBHgAAH1iwYEF+fn5qaqqvG1JdJElKTU399ttv9+7d6+u2+DUdHQnsUwDwOQI8AABVadOmTSNHjoyLi0tKSpo0adLZs2cfe+wxSZLWrVunLeNwOObPn9+zZ8/GjRurJSNHjjSZTEKInJwcSZJCQ0Pd15mTk3P//ffHx8cHBga2aNFi+vTply5d8njd8+fPP/DAA126dAkJCWnatOn48eP379+vzS1n/evWrRs8eHBSUpLVak1ISBg4cODq1avLeYNLly6VJOnWW2/1KM/MzDSZTFarNS8vTy0ZPXq02Wx+/fXXK7Thapwvv/xy2LBh9evXT0hIGDVq1Jo1a9LS0iRJmjRpkraM7o6EWr5PAcD3FAAAUEXee+89s9kshIiIiFB7RNevX3/AgAFCiLVr12qLrVy5Ugjx5ptvaiXz58+fOHGiEMJisaSmpv7f//2foijLli0TQowePTopKcloNLZt27Zdu3bqn++ePXu6XC6t+ubNm+vVqyeEMJlMTZs2tVgs6qo+/vjjctavKIp2I3RsbGxSUlJYWJj6T/e2KYoyevTolJQUdTo7O9tsNgcEBOTn57sv8+abbwohRowY4V7Yv3//wMDAwsLCq9+2+qLd0G42m7W+8YMHDxZCpKamaovp7khQavE+BQB/QIAHAKBqnDp1Sk22H3/8sZqpvvvuu8jISDUIuQd4NSzt2bPHvbrT6VSTv1aixjYhxPXXX3/8+HG1cNOmTQEBAUKIHTt2qCVFRUUNGjQQQsycObOoqEhRlJKSkmeeeUaSpICAgCNHjpS1/p07dwohrFbrN998o5Y4HI433nhDCNGwYUP3trkHeEVR+vXrJ4T47LPP3Jfp0aOHEGLFihXuhU8//bTHe68NvvnmGzW6v/XWW+oe2bdvX2Jioro33QO87o4EpbbuUwDwE6Yru14PAMC15Vz1hZKfd81ezjx2gpCkytV94YUXHA7H3/72t9GjR6slffr0efXVV++66y6PJTds2BAcHNy6deuKrFaSpA8//PC6665T/9m7d+/bbrvt888/P3z4cKdOnYQQr7322pkzZ8aNGzdnzhx1GYvF8uSTT54+fXrhwoX/+Mc/3nnnnVLXvHfv3pCQkDvvvFPtIyCEMJlMU6dOnT17dnp6en5+vkf/bc3w4cPXr1+/YsWKkSNHqiXp6elbt26NiIgYOHCg+5JdunQRQnz33Xf9+/evyJsty/vnzn910bOvePV5pFGDjqEhla7+5JNPCiHmzJmjXda+4YYb1q9f37RpUzU8a/R4JFTVPgUAVAIBHgDg1+TfDykXsq7d642dUOmq6g3Dd999t3vh6NGjp0yZUlhYqJXk5uYeOXLkxhtvNBqNFVltcnKy1l9aFR8fL4TQouCaNWuEEN5PBRs/fvzChQs3bdpU1ppTU1O9x047d+6cehO7LMtlVRwyZMjkyZO//vpru92udtJWr8aPGDFCvSasUaPpjh07yn+Pl7WvsOjzrAtXuZKKG1s3utIBPjMzc/fu3eHh4ZMnT3Yvb9So0bBhwz777DOtRKdHQlXtUwBAJRDgAQCoAsXFxRkZGVartVGjRu7lgYGBCQkJhw4d0krOnTsnhIiOjq7gmlu0aOFRYjD8zxi0R48eFUK8++6777//vnt5QUGBEOLUqVPlr19RlIMHDx46dOjEiRO///77t99+W1JSUn6V2NjYHj16/Pjjj99//716zfaTTz4RQowdO9ZjSfVtqm+5ljh27JgQ4vrrr7darR6z2rZt6x7gdXok1MJ9CgD+gwAPAPBr5klTRNmXgqteZfvP//HHH4qilBrGYmNjvQN8VFRUBdes3UVfKrvdfv78eSHE4sWLy1rA6XSqA497mzt37pw5czIzM7XX6tWrV0FBQW5ubvmtGj58+I8//rhixYoBAwYcP358165dDRo06N27t8diFoslJCTk6sPeY40a3lc/7ipXUnF1LeZK101LSxNC1K9f33uWR6FOj4Sq2qcAgEogwAMA/JoUUV5o8R+xsbFCiAsXSunmffHiRfd/qh2Spcr+UuDBYrFERUVlZ2fbbDa1N3vFvfTSSzNnzgwLC3vsscduvvnmNm3aqD9ANGnS5LIBftiwYQ8++OCXX345f/78Tz/9VAgxZswYjwvCKqPR6HA4rqhh3qLMpiizPr60qNswIyPDe5YWj1X6PRKqZJ8CACqB58ADAFAFIiIioqOji4uL09PT3csdDodH1+W4uDghRHZ2dlW9dLNmzRRFOXLkiEd5Tk7ODz/8sG/fvrIqzps3TwixfPny559/vk+fPlr3AY+B1krVsGHDjh07ZmZmbtu2TQ3w3v3n1VXl5uaqDzarJZo2bSqEOHTokM1m85jlsS90eiTUwn0KAP6DAA8AQNVISUkRQixatMi98LPPPsvPz3cvUWObx2X5q9GnTx8hxCuvvOJR/tRTT6WkpKxYsaKsillZWUKI5ORk98Ljx4+fOXOmIq87fPhwIcTzzz+/b9++pKSk9u3bey+jplP1LdcSCQkJDRo0yMnJ8RjyPT09ffny5e4lOj0SauE+BQD/QYAHAKBqvPDCCxaLZc6cOV988YVasmXLlgceeEAdY1zrKR0ZGdm4cePffvut1GHeCwoKioqKruh1Z8yYUadOnSVLltx///2XLl0SQrhcrjfffHPevHlBQUF/+ctfylp/y5YthRDvvvuuNnfDhg19+/ZVFEUIoa6qHGqAV0c+v+OOO0pd5vDhw0KIDh06XNE70jWTyaQ+Rm7GjBnvvvuu3W4XQhw+fLh///7qtEanR0It3KcA4D8I8AAAVI1mzZq99tprDodjxIgRMTEx9evX79mzZ8eOHXv16iWECAoK0pa8+eab8/LyfvvtN/fqRqMxMjLS6XR26NBh0KBBFX/diIiI999/PyIiYt68edHR0YmJiTExMVOnTjUYDEuXLm3SpElZ6//73/8uhJg5c2ZiYuKf/vSnhISEvn37NmnSpGPHjkKIfv36LVu2rJzXbdq0adu2bdXpUvvPCyG2b9+uvt+Kv50aYOLEiSNGjLDb7ffcc094eHi9evWuv/7633//fdy4cR5L6vFIqJ37FAD8BAEeAIAqc999961bt27AgAFOp1OSpJkzZ3755ZfqBcywsDBtMTX8bN261aP6/PnzExISTp48efz48St63VtuuWXPnj2pqalt27ZNT0+Pjo4eO3bs/v37R4wYUc76Bw8evH79+pSUlIsXLx46dKh169YLFy5cv379iy++mJyc/Mcff1y2L/3gwYOFEF27dr3uuutKXWDbtm0mk8l7dPqazWw2f/755wsWLOjbt29wcHBQUNCYMWN++OGHP//5zx5L6vFIqJ37FAD8hKR2jgIAAFcpKyvLbrfHxMS4jwEuy3LdunUvXLiQn58fEhKiFhYXF8fHxycnJ69du9ZHjb0yY8aMOXfu3MaNGz3K77jjjo8++mjevHlTpkzxrpWfn1+3bt1bb71VHeUOn3766ejRo1NTU7XO6ro7EtinAOBbXIEHAKBqPProow0bNvTodr527doLFy507txZS+9CCKvVOmnSpA0bNpT6sDG9yMvLW7FihclkGjVqVKkLLF++vLi4+IEHHrjGDdMR3R0J7FMA8C0CPAAAVWP06NGSJD3++OPffPNNQUHB+fPnv/jii7vuuksIMX36dI+F77vvPrPZvGTJEh809Kq5XC673f7YY48VFxcPHDgwNja21MUWLVrUuXPnbt26XePm6Yu+jgT2KQD4FgEeAICq0bdv3zlz5mRnZw8aNCg0NLRu3bojRowoKCh46623vK9Rx8fHz5o165VXXsnLy/NJa6/GwIEDw8LC3n77bZPJNGvWrFKX+fbbb7dv3/72229f47bpjo6OBPYpAPgc98ADAFCVTpw4sXz58mPHjoWFhbVu3fqmm25KSEgodUmHw9GhQ4ehQ4c+88wz17iRV8rjHvipU6cuWbKkSZMmzz//vPfAbKqOHTumpKS8/PLL17CZ/u7XX39dsWJFz549+/bt616ulyOBfQoAPkeABwDAZwoLC202W1RUlK8bchm5ubmyLEdGRlZweVmWs7KyoqKiTCZTtTasxvD/I4F9CgD+gAAPAAAAAIAOcA88AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB0gwAMAAAAAoAMEeAAAAAAAdIAADwAAAACADhDgAQAAAADQAQI8AAAAAAA6QIAHAAAAAEAHCPAAAAAAAOgAAR4AAAAAAB2ovQHeZrMtW7Zs/PjxrVq1io6OtlgscXFx7du3Hzx48HvvvXfp0iVfN/AamTRpkiRJkiR9+umnvm6LLj399NPqBnzrrbcqXmvo0KFqre+++6762gZUuSo/dB955BF1hUuXLq2SFQIAANRgJl83wDcWL178yCOPXLx40b0wMzMzMzNzz549q1atmjx58iOPPPL3v//dZKqlmwi4lnJzc4UQkiSFhYX5ui3QE44cAABQq9TGK/D33XffxIkTtfRuNBoTEhI6d+7cuHFjLa7b7fbnnnuuV69eeXl5vmspUCu4XK6IiIiIiIjExERftwV6wpEDAABqm1p3efntt9+eP3++Ot2+fftHH3102LBhWm53uVzbt29/4YUXvv76ayHEtm3bpk6dSsdOVLnk5GSn0ymEiI6O9nVbgCvAoQsAAOBDtSvAl5SUzJo1S53u06fPN998Y7FY3BcwGo3du3f/6quv5s6dO23aNCHE+++/P3r06IEDB/qguai5nnjiCV83AagMDl0AAAAfql1d6NevX6+OTidJ0kcffeSR3t09+OCDgwcPVqcXLFhwjdoHAAAAAEAZaleAP3TokDrRsmXLunXrlr+wFuC3b99efU1yuVyZmZl2u71qV1tcXFxYWKgoStWutsbIzc0tLi72dSsqpEYeIfn5+efOnfPJSwtd7X0AAADAXe0K8IWFhepERXJL9+7dU1JSUlJS2rdvX+oCBw8efOSRRzp37hwXFxcQEFCvXr2OHTuOHDly1apVsiyXWkV7YNLBgwcLCwunTJkSHR2tVo+KiurcufMbb7yh3l8qhJBleeHChX369Klbt67Vam3ZsuXQoUO3bdvmsc4zZ86o65w0aZIQ4pdffunfv39ERERISIjZbG7YsGG/fv3efffdSidAWZY/++yz22+/vWnTpkFBQXFxcd27d582bdqJEyfKqVVUVPTaa68NHjy4devWwcHBDRs27NWr11//+tcjR45Urhmqq9zmQohly5a1a9cuIiIiKCgoKCiobdu2Y8eO3b17d/mvu2nTpokTJzZr1iwoKCg6Ojo5OfnZZ589f/58pd/ImDFjSn0Wlz8fIRcvXnzppZd69+7doEGDgICA2NjY5OTkxx9/vJx9OnXqVPWl09LShBCZmZl//etfGzVqFBYW9vPPPwshnnzySUmStEEozp07py4fGRnpvTZf7f309PSnn366Y8eOMTExgYGBTZo0GTJkyLJly7QdUarKnTilGj16tPou1Pt6PCxatEj6jzfeeMN7gVmzZqlzu3XrdvWNLOvQ1Rw9enT69OlJSUnBwcGxsbG9evX65z//6XA4hBBdu3aVJCkmJqacN3vp0qXnnnsuOTk5Ojo6ODi4TZs2t99++44dOzwWq/iRU02fRQAAAL6h1CZLlixR37XBYNi6dWul12Oz2VJTUyVJKmurNm/e/NSpU94VH374YXWBLVu23HDDDaXW7dOnj81my8zM7Nq1q/dcSZKeffZZ93Wmp6ers1JTUz/66COz2VzqahMTE3/99VfvJqWmpqoLfPLJJ95zDx482KFDh1JXaDAYUlNTS0pKvGt99NFHZXVwMBqN999/v0+2+YEDB6ZPn15qXUmSympVfn7+yJEjS60VHR399ddf//3vf1f/+eabb1b87YwePVqttWHDhlJb6z9HiGrJkiURERGlVjSZTA8//LDL5fKuNWXKFHWZU6dOHT9+PD4+Xqv11VdfKYqijUnhISIiwn09vtr7iqK88cYbwcHBpVa84YYb9u7dW2qtyp04ZVm8eLFat02bNt5zx48fr6182LBh3gv06NFDnfvMM89cfSPLOnRV8+bNCwwM9F5h+/btT5w40aVLFyFEdHS0exVtHy1ZsmTbtm0NGzYstUke+6iCR051fBYBAAD4UO0K8L/99pvB8O9OB9HR0YsWLXI6nZVYj/YVVggRGBjYqlWrlJSUtm3buj+IuFWrVvn5+R4Vta+q2kOPmjVrNnbs2EGDBrnXTU1NbdOmjRDCZDJ17Nhx/Pjx3bp109KLyWRyD1paPOvYsaP7V+emTZted9117l9YIyMj9+3b59GkcgL8L7/8UqdOHa16cHBw586dW7RooW1DIcRNN93k8Ta/++477bKY0WhMTExMSUm54YYbAgICtFrz5s279tt8xowZWvWuXbuOHz++V69eWlOFEIsXL/aoa7fbPS5aRkZGqlditVX1799fna7aAO8/R4iiKHPnznVfLDQ0tGvXrh656Pbbb/euqAX4/fv3N2vWTG3bdddd16dPn59//llRlJ07dy5YsOCtt95SFwsLC1uwYMGCBQvee+89n+99RVG0X2dU8fHx3bp1i42N1UqioqIOHTrkUatyJ045zp49q9aSJCkrK8tjrvtOjI6OlmXZfW5RUZE22MeuXbuuvpHlBPh58+a5b67mzZu3bdvWaDRqW69x48ai7AA/ffr08PBwIYTVau3evfuECRN69+7t3p4PPvhAq1WRI6eaPosAAAB8qHYFeEVR7r33XvevmDExMZMmTVq5cuWlS5cquIYffvhBqz5z5kz3ijabbeHChdrX5VWrVnnU1b6qqt84P/zwQ23WmTNnbrzxRve2tWjRwv363nfffWe1WtVZDz/8sFauxTPNjBkzMjMz1bmZmZlPPfWUFu3atm3rcDjcm1RWgC8oKGjevLk6q1GjRmvWrNGCQV5e3iOPPKJ9sZ42bZp7xfr166vlgwcPTktL08ozMzNHjRqlzgoMDLTZbBXc4FW1zdWNMHTo0NzcXG3ugQMHtKjcunVrj7rugaRPnz6HDh1SN4LL5fr444+DgoLcN3vVBnj/OUJ2796tpaDmzZvv2LFDu9h+4sSJvn37aqt95513PN6mFuBvvvlmIcSgQYNKvU6u9UWPi4vznuurvb9hwwZts9x6663p6enarNWrV2u9Cfr16+deq9InTvnatm2r1lq+fLl7+ZkzZzx27sGDB90X0Dq6x8TEaC25mkaWdehmZGRoh9+oUaPOnz+vlufn53v8DlJWgFcNHz7c/VeDw4cPa79QdOzY0aMx5R851fFZBAAA4Fu1LsAXFhbecccdwovBYEhOTp4xY8batWsLCgrKWcOTTz6pVhk5cmSpCzz66KPqAk888YTHLPevqv/617885rrf5xkcHHz69GmPBR5//HF17i233KIVesSz+fPnezfpiy++0KLI0qVL3WeVFeCfe+45tTwhIaHUXzfef/99dQGj0XjgwAG18NixY2phbGysd/9bm82mPTt69+7d3ussS1Vt81KvEu/cuVN7I+q4bqq8vDztSvtdd93lEWsVRdmxY0doaKi28ioP8H5yhPTr108tT05O9j4SnE7nuHHj1AXq1q1rt9vd52oBXghxxx13lLU1yo9hPtn7iqK0bt1anTVhwgTvGwR2796t/XDg3m2hcifOZc2cOVOt9X//93/u5Z988olarv248/bbb7sv8Le//U0tv/POO6ukkWUdug888IBaPm7cOI9eAIqiuN+cX06AHz16tHdjtH0UEBDgcRqWc+RU02cRAACAb9WuQeyEEEFBQcuWLfviiy8GDRqk9e0UQsiyvHv37pdeemnAgAGRkZF/+tOfPvzwQ5vN5r0Gu93erl27du3aTZw4sdSXSE5OVicyMzPLakavXr2GDh3qUdipUyftbttp06a53zCs+tOf/qROeF92U914441//etfvcuHDRs2ZMgQdfqf//xnWa3SyLKs9U1duHBhqTc/33nnnerVV5fLtXz5crVw//796kTz5s29n9IXEBDw4osvzpo1a9asWWXdiV2qKtnmFotlzpw53uUdO3ZUe4O7XK6MjAytfN68eVlZWUKIyMjIuXPnune3VnXq1KnUrV0l/OQIOXHixLfffqtOv/jii95HgtFofPnll9We+ZmZmatWrSr1dS0Wy7PPPlvqrMvyyd7/8ccfDxw4IIQICAiYM2eOe0du1Y033jhgwAB1eteuXepEpU+cy9Jea+PGje7lmzdvVie0e8J//PFH9wU2bdqkTgwcOLD6GpmRkfHOO+8IIYxG47PPPus9WsHkyZO9D1cPZrP5+eef9y7v2LGjeq9ESUnJxYsXL9sYVTV9FgEAAPhWrQvwqmHDhn399dcZGRmfffbZ5MmTk5KS3Oc6HI7vv/9+3LhxCQkJGzZs8Kg7Z86cX3/99ddff9W+UnsoJ0VotGGlPDRo0ECd6NWrl/fcy34Dfuyxx8qapV2I2759uzYaf1n27t2r3nYbHx+vdn4u1e23365OaCEhISFBndi9e/eWLVu8q0ycOHH27NmzZ89Wb+GuoCrZ5jfffLN6C643rdnu1q1bp05MmzbN/V5rdw888EA1ffv3kyNk06ZNiqIIIZKTk/v06VNqxbi4uL/85S/a8qUuU87Gvyyf7P21a9eqE+PGjStrFLSHH35YTYDaZq/0iXNZ3bt3V7t7HDp0yP39qgE+MTHxlltuUX/ccb/jwGazqb02DAaD1pOiOhr5zTffqD93/vnPfy51e5pMpsv+2tW/f/8mTZqUOuuyB7a3avosAgAA8K1aGuBVMTExI0eOfPvttw8fPpyRkfHxxx/fc889WkASQpw/f37AgAFLly6tyNqcTuehQ4feeOMNrcdvOcr6Pqpd6GvRokU5c8tS6rDkqnbt2qkp1OVy7dmzp/z1bN++XZ3o2bNnOYtpw6Srz+gSQrRq1Uq9t7akpCQlJWXMmDHLly+v+EWzK3VF21y729lbqRtWfc6ZEKJ3795lVWzQoIHW0bpq+ckRom2ETp06lbNaba62vAeP0fKqRLXufe0U6Ny5c1kVe/bsqSZAbSCASp84l2U2m7UfULREnZOTo3YT6Nmzp9ls7t69uxAiIyPj6NGjWntKSkqEEJ06dYqKiqq+Rmo3d2j36nsrZ5aq1ENaVc4DCMpyjT+LAAAArg3PXsG1Vlxc3OjRo9U7MLdv3/7CCy+sXr1aCOFyue6///7+/fvHxcW5L68oyu7duzdv3nz48OFjx46dPHkyPT3d5XJV8OUu+33Uu8P2ZQUGBtarV6+cBZo2bfrrr78KIc6dO1f+qrRRrz/66KOPPvrosi+tfS22WCwff/zxwIEDs7KyXC7XJ5988sknn0iSlJSU1LVr1wEDBgwYMMD9vvEQYmtwAAAgAElEQVQrcpXbvKyLe6Wy2WzaVWh1+PSyNG7cWN2qVctPjhD1JgJxua2nXdzWli9rgUq7lntfCKF1py/1enJZKn3iVMSAAQO+/PJLIcTGjRvVy+Nbt26VZVn8pztGSkrK+vXrhRA//vijml21q/Fa//lqaqS2znIulZf1fDhN1f7KU62fRQAAAL5Sq6/Al0qSpK5du65atUq9pVMIkZeX5/F4pHXr1rVp06ZTp04PPfTQwoULN23alJaWpmaJZs2aac8Vu8bi4uLKT33ad+vc3NzyV5WTk3NFLy3LssPhUKdvvPHGo0ePPvzww9pDqhRFOXz48HvvvTdq1KiYmJjx48eXFfPKcfXb3Ps+2HJo6V2SJI/fbjxcUcDzrUocIfn5+epE+clf67dS1qGlXf6tnGu894XbKaCNZH5FtSrI/cS5LO/b4LUb4NVr6SkpKeo/tdzufQN8NTVSW6f7M/Y8lH8eCSFCQkKuqGGXVU2fRQAAAD5Ui67A79q1S73Lt1GjRlo4L8c999yzatWqr7/+Wgjh3ud8yZIlEydOVG8MDggI6Nq1a6dOnVq1anXdddclJSVFR0d/+eWX2u3T19K5c+cURSknoWmXVbWB0MqiLXDLLbfceuutFXl199cNDw9/+eWXn3/++a1bt27atGnLli3abdUlJSXvv//+V199tXPnzqZNm1ZkzcIX21y76V1RlHPnzpWT4rRxsP1fJY4QLVOV32vj/PnzHhU9VKILtMYnZ5z2RrKzsytRq3InTvkaN26cmJj4+++/Hzly5MyZMw0aNFADfMOGDdUODsnJycHBwYWFhWqALykpUXvLx8TEuD+AsDoaqT1SsZw87JPu61X+WQQAAOBbtSjA2+12dWCq4ODgigR4IUS3bt3UAP/HH3+oJdnZ2VOmTFGzxB133PHSSy9d0QW6amWz2TIyMsppj3ZnrPb8pLJo10vj4+PvvffeyrXHbDanpKSoVwWdTueuXbs+//zz+fPn22y27OzsSZMmff/99xVZj0+2udlsjoyMvHTpkhDi2LFj5bzikSNHqrsxVaUSR4g2cfLkyXLWfOLECXXiKq+0e/PVGRcdHX38+HEhxKlTp0odL7BUVXLilGPAgAG///67EGLTpk3Dhw/fvXu3cLuVXb0Nfv369adPn05LS0tLS1MHluvfv7/7ff7V0UhtndpHpbfTp09XyWtVQlV9FgEAAPhcLepCrw01X1hYWNZQWx60S0ZaD+HVq1erV2/atWu3dOnSUrNExfvEVrlt27aVNevw4cNqHJUkqV27duWvp0OHDurEb7/9Vs5iBQUFx48fP378uHYB9uLFi5mZmZmZmXa73X1Jk8nUtWvXV1999ZtvvlFLNm/e7LFMWXy1zbWHk3k8l8ud0+nct29flb909bnSI0Q7EtSsWBZtrvuV3irhq72vvfG9e/eWtcz69evj4+PdY3ClT5wKcu9Fv2PHDvUMch+L7qabblInfvjhh1JvgK+mRrZv316d0B7e5k0db++aqY7PIgAAAJ+rRQE+KipK+6Y7depU9ZpeOQoKCj7//HN1Wnu8tnYRqVu3bu6PkXfnw0T34osvljXr6aefVic6dOhw2cukXbp0sVqtQohNmzaVE2CmTJnSrFmzZs2aaU+Kvuuuu+Li4uLi4hYuXFhqlZSUFHXNTqfzsmPpqXy1zbWd/tprr+Xl5ZW6zOLFiyv4LvzElR4h2m3VO3bscH8+mbvz588vXrxYndYCZFXx1d7XhnxfuHBhWTeNL1++PD09PT09vWXLlmpJpU+cCurdu3dgYKAQ4vvvv9dugHfvIOB+G7y6v9wfIFd9jdQeR7dq1ar09HTvBVwu1/z58y+7nipUHZ9FAAAAPleLArwQYvbs2erEtm3b7r333nKGsHY6nSNGjFC7gwYFBY0bN04t10b50voMe/j5559fffXVqmz0ldi1a9c///lP7/JVq1Z99tln6vQzzzxz2fUEBwffeeed6vSkSZOKioq8l9m0adOyZcuEEAEBAaNHj1YLtQuwZX3p37lzZ3FxsVrrsoNaqXy1zSdMmKA+4z07O3v69OneR0taWpoWevXiSo+Q5s2ba1F25syZ2ph2GlmWZ8yYoR4hsbGxQ4cOvZrmef+s5qu9P3jwYPVqf15e3qxZs7wXOHjw4AcffKBOaxG60idOBVmtVvWhhidPnlQHkK9Tp87111+vLaDeBi+E+O6773766SchRMeOHT1umamORrZv375Hjx5CCKfT+dRTT3kvsHDhwrL2YJXwPnKq47MIAADA52pXgO/du/fYsWPV6XffffeGG25499133W/udTqd6enpb7/9dvv27bVhsZ599lnt653W+3TdunVLlixxX3lhYeGsWbO6d++uDWB+7Nix6nw3pbv33nufeOIJbeSt7OzsZ599dujQoeoX3F69eg0aNKgi63niiSfCw8OFELt27erWrdvWrVu1WQ6HY+HChX/+85/VTJuamqoN8qw9Mn3jxo2jRo06deqUVkuW5TVr1mgBb+TIkRUcGNxX27xu3brTpk1TpxctWjRgwADtdneHw/HVV18lJyefOXOmEo9z860rPUKee+459dL3jh07Onfu7P7MvNOnTw8cOHDp0qXqP2fPnh0QEHA1bcvJyVFv29b4au+bzebnn39enX7rrbdGjhzp3pN848aNt912m9rUgQMHao0UlT1xKk7rRX/48GEhRI8ePdxHmDOZTGqQTktLU9OpR//56mvkP/7xD/VceO+99+68806t24LNZnvhhRcmT56sHRtl9aS4Gt5HTnV8FgEAAPieUss4HI7Bgwd7bAT1Ckx0dLT3YMv333+/xxpGjRqlzW3VqtW4ceMmTJjQuXNnbbzuMWPGqBOSJI0cOXLBggVa3Ycfflid5V7oTrtRPz093Xuulk/atWunFWodVuvXr6915VUfd5yYmOj+jsLCwn799VePdaampqpzP/nkE49ZK1euVC9Bq+Lj42+66aYuXbpERkZqhX379rXb7aWuUG1GfHx87969u3TpEhMT477dcnJyLrevrtE2VxSlS5cu6jLHjh1zLy8uLu7atav78RAdHZ2cnKx2YxZCWCyW119/XZ1+8803K/6OtKuaGzZscC/3wyNEUZSXX37ZfSNERkb26tXL47He48aN8644ZcoUde6SJUvK3yBqnhRCdOnS5b777lOHnVf5au8rijJx4kT399i4ceOUlJRGjRppJbGxserY/u4qd+JUkJrbNS+//LLHAi+88IL7Ajt27Ch1PZVuZFmHrqIo2rmg7otWrVolJydrr/Luu+9qm9G9lraPyjlIWrdurS7jvbXLOXKq47MIAADAt2pdgFcUxeVyvfPOO+7f4UrVoEGDDz/80Lt6Tk5O9+7dS60SFxf36aefKorSpEkTrbB169Za3WqNZ0lJSRkZGR6BU9O0adNdu3Z5r7OcAK8oyvr16z1ymsZoNE6cODE3N9ejSmFh4YgRI8p57lS/fv1OnTpV6tsvS7Vuc6XcCJefnz98+PBSXzoyMnL16tXaIwb9P8BX7ghRLVy4UHu0ngez2fzoo4+6XC7vWhUP8FqnblVERIQ2y4d7X5blJ554wj3ouuvevfu+fftKXWclTpyKS0hI0Na2fft2j7nu4xRGR0eXul+uppHlBHhFUebNm+fdC8NkMs2fPz8jI0P9Z8uWLd2rXGWAL+fIqY7PIgAAAN/SWe/fKmEwGO65556xY8euX79+zZo1P//8c1ZW1oULFwwGQ0REROPGjTt06DBo0KB+/fqV2js6PDx8y5Ytn3/++QcffHDkyJFTp06Fh4e3bNlyyJAhqamp6lXB5cuXT506dc+ePSaTqU2bNtfsrcXFxW3ZsmXZsmUffvjhvn37srOzo6Kirr/++hEjRtx1112V6N7ct2/fI0eOLF26dNWqVfv378/KyoqOjm7evHmrVq2mTp2amJjoXSUoKOjzzz/fu3fvvHnzjh49mpaWdu7cubi4uCZNmjRv3vyee+7RRnevOB9u85CQkOXLl2/cuPGDDz7YvHnz2bNnTSZTfHz84MGDJ0+e3LBhw3KGAfNDlT5C7r777sGDBy9atGjNmjVHjhy5ePFiWFhYQkJC//79J06c2KxZs6ts2FtvvRUdHb1ixYozZ84EBAS4H1o+3PuSJD377LPjx49ftGjR2rVr//jjD7vd3qJFi5YtWw4aNGjMmDFlhcNKnDgVN2DAAPVBmEFBQe6991XJyckhISEFBQXC6wFy16CRU6ZM6du379y5c9euXZuRkRETE9OjR49HHnmkQ4cO6gPwhBCX/fH0ipRz5FTHZxEAAIBvScrlBmOHnztz5ox6GS0pKcmjey0gOELgH9asWXPLLbcIIVJTU7Xu9AAAALgitfEKPACgCuXn599zzz1CiIiIiLIeF6c9hvBadkoCAACoYQjwAICrEhoaunv3bnUIhgcffNC7+31hYeH7778vhJAk6SqfNQgAAFCb1a7HyAEAqoPaPV4IMWHChNzcXPdZ6enpN99887lz54QQgwcPLmvkPAAAAFwWV+ABAFdr9uzZ33777aFDh7Zv356QkDB06NDGjRvn5+f/9ttvW7duVR8LX6dOnblz5/q6pQAAADpGgAcAXK3Q0NBVq1aNGTNm165dubm5S5Ys8VigZcuWy5cvd38GHgAAAK4UAV73jEZj48aNhRANGjTwdVvgjzhCcG00bdp0586dK1euXLZs2bFjx44fPy5JUmxsbJcuXW677bYRI0aU80w7AAAAVASPkQMAAAAAQAe4HgIAAAAAgA4Q4AEAAAAA0AECPAAAAAAAOkCABwAAAABABwjwAAAAAADoAAEeAAAAAAAdIMADAAAAAKADBHgAAAAAAHSAAA8AAAAAgA4Q4AEAAAAA0AECPAAAAAAAOkCABwAAAABABwjwAAAAAADoAAEeAAAAAAAdMPm6AfivkpKS4uJiIYTVag0ICPB1c1AedWdFRET4uiG4jPz8fJfLJYRgZ/m//Px8o9EYFBTk64agPC6XKz8/XwhhsVjYWX5O3VkhISEmE9/3/FpxcXFJSYkQgp3l/4qLix0OR1hYmK8bgsvIzc1VFMVgMNS8ncVnhB+RZdnpdAohFEXxdVtwGYqiqDsLfs7lcmmnlSRJvm4OyqP+1AI/p336GY1GX7cFl+d0OvlS4f/4Bqgjsizz10oX1E8/g6EG9jevgW8JAAAAAICahwAPAAAAAIAOEOABAAAAANABAjwAAAAAADpAgAcAAAAAQAcI8AAAAAAA6AABHgAAAAAAHeA58IC+OV3y0Yzcs9lFWfnFF/Js53OLs/JsF/NtQQEmo0GyWkyBZqPJaIgItsRHhzSJDW0SGxYXGcTz0AEAAADdIcADupSWlf/LiQu/nLiwL+2izeHyXiC3yF5WXavF1DgmJKlBZLekuq0b1TFIxHkAAABABwjwgJ78diZn7Z4/dhzJzC4oKWcxq8XkkmW7Uy51brHdefhMzuEzOSt2ngwPsnRLiuuRFNeucZTJyD01AAAAgP8iwAM6UFTi/G7/mTW/nD6Rmecxy2ox3ZBQp0W98Jgwa3RYYGyYNSY80GoxaRUdLrmoxJlTWHLifP7JzLxT5/NPns8vsDnUBXKL7N/8cvqbX06HBJp7t6o/vEuTBnWCr+l7AwAAAFAxBHjAr53MzFu569SmA2fd+8kbJCmxfniH62LaXxfdsmGkyVBmH/igAJMQIjzIUi8yqGXDSK08M6d4x7HzWw9n7EvLlhVFCFFgc3z9c9qaX073SIob1e26FvUjqvNtAQAAALhiBHjAT53PLV6y8ffvD5xVFEUrbBgVPKhDo5vbNAwPslzNyutGWG9LTrgtOSG3yL7t98ytv5375eQFp0tWFGXz4YzNhzPaJESN6tY0uVkM98cDAAAAfoIAD/id/GLHZz8dX7nzpHYTu8lo6JZYd1CHRu2aRFdtog4PsgxoHz+gffylwpKvdqet3HlK7V2/L+3ivrSLLepHTBnYKpGr8QAAAIAfIMADfsTulFfuPPnp1uPaPeqBZuOwLk2GdGpylZfcLysyOODO3i2Gdbnu65/TVuw4qQ6Sd+RszoPv/XTLjY3GpySGWs3V2gAAAAAA5SPAA/7iaEbuS1/uOZ1VoP7TaJD6t4u/s3eLOiEB16wNwQGmUd2aDu3cZMO+Mx/8cORivk1WlNW70344mDGhT+Kg9vESz5wDAAAAfIQAD/ieS1Y+2Xrsox+POuV/3+7eLTFuYp/E+OgQn7THbDQMbB+f0qreR5uP/WvHSadLziu2v/H1/jW/nH74trZNYkN90ioAAACgliPAAz6WfrHwpZV7fj+bo/6zQZ3g6be2ad2ojm9bJYSwWkx3/ympf7v4+esO7j6eJYQ4lpF7/6ItE/+UNKRTEy7EAwAAANcYAR7wGUWI1btOLfzutxKHSwghCXHLjQmT+rYMNBt93bT/ahgV/NzYTj/9fm7B+kOZOcV2p7xg3aHdx7Ievq1t5DXs2w8AAADA4OsGALWU3Sm//OWet9YeVNN7ZHDA329PnjqotV+ld023xLh37u01qEMj9Z+7j2fd+86P237P9G2rAAAAgFqFAA/4wPnc4mmLt36374z6z96t6r87uXeXFnV926ryWS2mB2654bFh7UMCzUKI3CL73z/bPW/NAadL9nXTAAAAgFqBLvTAtXbgj+xnP//lUmGJEMJsNNw/qHW/dvG+blRFpbSqf33DyJdW7tl/OlsI8dXPaafO5z858saI4Op9yh0AAAAArsAD19Q3v/4x84MdanqvExLw8viuOkrvqthw60t/6TLhpkSjQRJCHPgje+qiLScy83zdLgAAAKCGI8AD14isKG+vPTj3q31qn/MW9SPmpfZo2SDC1+2qDIMkjenR7LmxnUKtZvHvOwJ+2vrbOV+3CwAAAKjJCPDAteBwyc998cuXu06p/+xzQ4NXxneNDg30aaOuVvsm0a9P7N4oOkQIYXO4Zn/+84ebjyq+bhUAAABQUxHggWpXbHfO+mjnlsPnhBCSJKXe3HLmkHYWU004+xrUCZ47sXvHZjFCCEWI9zcdeXHFrwxrBwAAAFSHmhAhAH+WW2Sf8f72PacuCiFMRsOjQ9uN7HqdrxtVlYIDTM+M7ji8y7/f1MYDZ5/6dLfN4fJtqwAAAICahwAPVKPzucXTl/x0JCNXCBFoNj59e3JKq/q+blTVM0jSPX1bPnRrG3VYu93Hsx79YHt+scPX7QIAAABqFAI8UF3SsvKnLf4p/WKhECLMannxzi7JTWN83ahq1K9d/N9G3hhgMor/Z+++w6Oo8z+Af2Z2tm+ym95DQi8JBAhVARWxF8pxNuyenv48T71TLIhdsd15nvVOPBVBUUTEegiISA0loQYIKZCe7GZ7n/L7YwKHEHpgdjfv1+PjM2y2vHdmd2Y+O99CVF7v+MtHa63ugNKhAAAAAABiByNJXWLMKYfDEfnvVBRFOSTLsgzDKB0HjkWSJFEUVSrV0e5Q3+Z/+qvtLn+YiBJNmsevGpCVqD+LARVT3uB65dtyX0ggopR47WNX9c+wKPnGD36tjrGxIEIIgsAwDMvil+WIJu/9iAgbKyoIgoCTish38GuFQ1Xkk7cU9n6RTxDau3NGxdfKYDBotdoTvHNXKeB9Pl/kv1Oe58PhMBFpNJqo+Kh1ZYIghEIhvb7j0rTJ4X98fqndGyKirETDzMkDU+Kje8D5k1Ld4nl24VaHL0REFoNm5pSBeSkmpcIEg0H5WKvT6XAKG+GCwSDDMBqNRukgcCyiKAaDQSJSqVTYWBFOkqRAIKDValFsRLhwOMzzPBFhY0W+cDgsiuKJ11qglEAgIEkSwzA6XRSchGu1Wo7jTvDOXaWAjwp+v9/r9RKRyWSKio9aVxYIBDweT3Jy8pF/anH6//LR2hann4iyk4yv3jQqwdTl9vINbd5H55Y0OXxEZDZoXpo2Ij8tXpEkDodDPitKSkpCAR/hHA6HSqWKi4tTOggcC8/zDoeDiLRaLTZWhBMEwW63m81mtVqtdBY4Fq/X6/f7iQgbK/J5vd5QKJSQkKB0EDgOm80mSRLLsomJiUpn6WT4kQ+gM9ncgYfnrJOr93SL4aVpI7tg9U5EmYnGv90yqltKHBE5faHpn6yvaXErHQoAAAAAILqhgAfoNE5f6JG56xvtPiJKjtPNmjYiuSu1nD9MUpzulZtG5qW21/APz1mHGh4AAAAA4HSggAfoHG5/+JFP1u9v9RBRglH70o0jMxIMSodSmNmgmTVtRE6yiQ78ulFr9SgdCgAAAAAgWqGAB+gEIV58av7GqmYXEcXrNbOmjchOMiodKiIkGLUv3zhSXht2T/DhOevkefUAAAAAAOBkoYAHOF0S0auLt2yvbSMio5Z74YbhcrtxkCWatC/fODIr0UhEbZ7g9Dnr5F4GAAAAAABwUlDAA5yu/yzf9cuOBiLiVOzM3xf3yjArnSjiJMXpXr5xZKpZR0RWd2D6nHV2T1DpUAAAAAAAUQYFPMBp+X7z/vmrK4mIIbr/8sKivCSlE0Wo5HjdPRcXGLUcETU7/Y/NK/EGeaVDAQAAAABEExTwAKduY2Xrmz9sl5dvGNtrwqBsZfNEuAST9sKB2Tq1ioiqml2PzysJhAWlQwEAAAAARA0U8ACnqNbme+HLzYIoEdF5AzKnjeutdKIoEKdXjx+YZdBwRFReZz+4AgEAAAAA4LhQwAOcCpsn+PJ3u+VG4IPykh66ehCjdKRokWDU3n5hX7WKJaL1FS1//3YrKngAAAAAgBOBAh7gpAV54YWFW9q8ISLKTTHNnDqUU+GrdBJ6Z5gfnTyYZRgi+mlL3b9/Klc6EQAAAABAFEDVAXByJKJXv96yt9lNRBaj5rlrh5t0aqVDRZ9z+qbfd3mh3Gzhy3VVX5VUKxwIAAAAACDioYAHODnzVlas3NlIRBzLzJxanGbRK50oWl06OOfm8/vIy+8tKV+9q0nZPAAAAAAAEQ4FPMBJWL2rac7KCnn5ljF5A3ISlM0T7a47t+dVxd2ISJKkl74qK6+zK50IAAAAACByoYAHOFF7m1wvLyqTJImIJg3LPb9/qtKJYsHdlwwY1TuNiIK88OT8jfVtXqUTAQAAAABEKBTwACfE7gk+NX+jPG95cY+Um8b1VDpRjGAZZvqkop7p8UTk9IUen1fi9IWUDgUAAAAAEIlQwAMcX1gQn/p8Y6vLT0TdUuIenzJEHkEdOoVewz1z7bBUs56IGu2+Z77YFOJFpUMBAAAAAEQcFPAAx/fOjzt21TuIyGzQPHNtsUHLKZ0o1iTF6Z69dphRyxHR9v1tf/tmCyaHBwAAAAA4DAp4gOP4aUvdd5v3E5GKZWb8bki6xaB0otiUlxr3xNShHMsQ0c/bG+b9WqF0IgAAAACAyIICHuBYKptc//x+u7x8+/i+A7slKZsntg3OT77v8kJ5ec6KPb+WNyqbBwAAAAAgoqCABzgqTyD87IJNQV4golF90iaP7K50oth3cVHO70Z1JyKJ6JVFW3Y3OJROBAAAAAAQKVDAA3RMInpt8dZGu4+IspOMD19dhGHrzo47xvc9OLHcU/M3Wl0BpRMBAAAAAEQEFPAAHZu3smLN7iYi0mu4mVOHYuC6s4ZhmOmTivLT4omozRN88vP22fsAAAAAALo4FPAAHdhY2TpnZfsgag9eObBbSpyyeboavYZ7+vfFFqOGiPY2Ol9bjEHpAQAAAABQwAMcweYOvLyoTJIkIpo8In9s/wylE3VFaRb9zKnFahVLRCt3Ns5biUHpAQAAAKCrQwEP8BuiJM36qszpCxFRQU7i7Rf2UzpR1zUgJ+H+Kw4MSr+yYu3uZmXzAAAAAAAoKwq69dbU1CxatGjbtm0OhyMpKSk3N3fKlCn9+qGsgjNi3q97t+6zEZFJp54+qUielhyUcuHA7OoW94K1VZIkvbSo7PVbR+elojsDAAAAAHRRkX4FftWqVQ888MDy5ctbW1sTEhLa2tpKSkoeeeSRefPmKR0NYtD2/W1zV1YQEUP016sGpZr1SicCumN83+E9U4nIH+KfnL9RbhwBAAAAANAFRXQB73Q6X3/9dUEQxowZ8+GHH77//vvz58+/7bbbiGj+/Plbt25VOiDEFE8g/NKiMlGSiGji8PxRfdKUTgREBwalz0o0ElGTw/fiwlJBxJB2AAAAANAVRXQB/9NPP4VCoX79+j344IOJiYlEpFKpJk6cePXVV0uS9O233yodEGKHRPTq4i0tTj8R5afF3za+r9KJ4H9MOvXT1xQbtRwRlVZbP1i+S+lEAAAAAAAKiOgCfu/evUR03nnnqVSqQ28fPXr0wb8CdIpF66vlMdL0Gm7GlCEaLqK/Gl1QTrLpoauLGIYhogVrq5aU1SqdCAAAAADgbIvoQex4nk9OTs7Ozj7sdrVaTUSCICgRCmLQ3kbn7GXtF3Xvu6wgO8mobB7o0Kg+aTeO7fXxL3uI6M0fdnRPi++ZYVY6FAAAwKnjRanF4attcbS5vP6QwHDOoCB5A7z8V4OWU7GMVq1Sq1izQZNq1qea9WaDRtnMAKCsiC7gZ8yY0eHt69evJ6IePXqc3TgQmwJh4cWvSsOCSEQXDcq+oDBL6URwVNeP7VXZ7Fq9qynIC09/senNO87FeQwAAESLEC/ubXLuaXDW2zwNdl99m7fF6T/ZgV20alWaRZ9m1vdIM/fNsvTNsiSYtGcoMABEoIgu4Du0ZcuWL7/8kogmTZp04o9yuVySFOkDXx1sU+D3+4PBoLJhuo73llXU2bxElJmgv/GcXKfTeSKPEkWRiE7wziDzeDzyB9vj8Tidpzg/313n5+9rcdW1+Vqc/mfmlzw+sUB1zKn+Dn6tnE6n3AIfIpYgCKIo4msV4Q4eTMPhMDZWhJM3ltfrxd5PQW2e0M56595md0WTu7rVywvib/4sScQwRCSRxNAJbaZgWEcUHIgAACAASURBVNjf6tnf6tmwt1W+JTlO2ys9rndG/KBcS3aiobPfAfwGDlXRQt4BRsvG0uv1Gs2JXpSKpgI+GAzOnz9/4cKFoijecMMNhYWFJ/7YcDgc+QX8QYIgoIPA2bGhyr5sRzMRcSr2/8b3YCUhHD6JNR8Oh89YtBjE87z8weZ5/pRXnYrogUt6zfxyhzfIb69zfryycto53U7w1U/tFeFskiRJ/nUMIp8oithYUQF7v7NPlKS9zd7SffbSfY5am+9od2MZJtGkZlnWoFGZ9Jr+mXF6jUqnVunVKg3HBsKCJEm+kFDX5qu3+4NhUa9ReYKCzR10+n9zDLW6g1Z3cG2FlYjSzLqheQlD8iy90+OO/QM3nA6cAUaRqNhYWu1JtKOJmgJ+9erVs2fPtlqtOp3u9ttvv/jii5VOBFGvzRN6/5cqeXnq8Oy8FHR9jw7pZt0943u8+sMeSZJ+2NrUPdU0uleS0qEAAKCrCwtS2T7Hhuq2rfud7kAHNYNZr+6ZbuqZaspNMqSZdSlxGhXLLNxYT0RxevVFBR3PX7t1v0Oeh+Xc3slpZh0R/bC1sckRtHtDZoO6otlT3+YXD1ymanYGvt/S+P2WRpOOG9wtYVzf5L6Z8ajjAWJJFBTwLpfrnXfeWb16NRGde+65t9xyS2pq6sk+iTwLXYTz+/0+n4+IjEajTqdTOk6MkyTppe9LPAGeiAbnJ990wYCTamEYDAY9Hk9SEurGk9AaUBkMISIym81JSZbTearxSUlNXnHOLxVE9P4v1f3z0nukx3d4T6fTKV99SkxMRCPSCOd0OlUqlclkUjoIHAvP83JzRK1Wi40V4QRBcDgc8fHx8ui/cIZIRDtq25Zva1i5s9FzRN2enWQs7pHSJ9PSL9uSbjm8fbskSQaD/eAVwg43VpxdMLhFIrJYLEmJRiKKN7lJpU1PomljexFRICzsaXCU1djW7WmpanbJj/IE+F93t/66uzUr0XhxUfaEgdnoKt8pfD5fKBSyWE7rNAbOgra2NkmSWJZNSEhQOksni/QCvqWlZfr06TabLTc399577+3b9xRn546KE/eDIRmGiYrAUW3+msqt+2xEZDZoHrp6EMueyrxx2EwnpXM/4TeM7V3Z5F6zuykYFp5ZsOnNO86N1x+r7xC+VtECmynCHbqBsLEinLyBsPc7c5od/v+W1S7bVt/k+E07eU7FDuyWOLxX6oieqZmJJ9G+r8ONdeTR89BbiEiv4QblJQ/KS775vD4tTv+6Pc1r9zRv3dcm97evb/N+sHz3xyv2jOiddmVxt8H5yaf6duF/8J2KIrG3sSK6gPf5fE8++aTNZrvwwgvvvvtu/H4MnWV3g2POij3y8gNXDEyKQ3uH6MMQPXT1oPs+8NRaPc0O/4sLS5+/fjgbc/toAACINBJRWbX16w016/e0iIcMscSxTHHP1PGFWcN6pug1ypxjp5r1Vw3Lu2pYnicQ/nl7w4+l+/c2uYiIF6XVu5pW72rqk2m5bkzPkb3TcLwEiFIRXcAvXbq0vr6+uLj4vvvuUzoLxA5/iJ/1VRkvSkR0+dBuo/p03OUMIp9Byz31++J7/r0yGBY3V1k/WL7rjvH9lA4FAAAxyx/il22r/3pDzf5Wz6G398m0jB+Ydd6AzMiZ3NSkU19Z3O3K4m4Vjc4fSmtXbK/3Bnki2t3geGr+xvy0+OvO6TG2f0bsXZwEiHkRXcAvWbKEiCZOnHi0cW5PrdkzdHFv/7ijoc1LRLkpprsmoN6LbtlJxgsHZX+3cT8RLVhd1TvDMrZ/htKhAAAg1ji8oa/WV3+zsUYug2UmnfriopzLhuRmJ0XuOLi9Msy9Msx3Tei3dFv956sr5db+1c2uFxaWfvzLnhvH9R43IBNFPEAUidwCXhCEuro6IpoxY0aHd8jIyHjvvffObiiIeit3Ni7ZUkdEahX7yMTBWrVK6URwurqnxhd2S9y2r00i+ts3W3OTTXmpcUqHAgCAGNHq8i9YW/VDaW3wkIlm81LjrhqWN74wSxclJxJateryIbmXFOX8vL3+s9WVtVYPEdXZvC8uLF1UUnP3xf37ZGJUNoDoELkFfGtrKyaYhc7V6vL/47tt8vKtF/Q52rjlEHUGdUtqcwfrbV5/iH/mi01v3H6OSYchMwAA4LTUt3nnr65ctq1eHg2OiBiGGd0n7epheYPyonIaGhXLXDgwe3xh1q/lTZ+u2isPWV9eZ//z7NXnF2bddkGflHi90hkB4Dgit4BPT09fvHix0ikgdkiS9PKiLfL8LkO6J08e2V3pRNCZzumbvrq8qd7urW/zvrSo7JlritGvDwAATk2ryz93ZcWSLXWC2D5GHccy5xVkXXNOj9zkqJ89kWGYsf0zxvTPWL6t/oPlu6yugES0fFv96l1NvxvV/Zpzemi56GhWANA1RW4BD9C5Pl9TdXDeuL9eNQi1XYzRcOwTU4c88OFaf4gvqWiZs7LipnG9lQ4FAABRxukLfbZq77eb9oV4kSQiIk7FXDokd+qoHmmWmLo6zRCNL8w6t2/6F2urvlhTGQgLwbAwd2XFz9sb7rusALPNAUQsDAIHXcKeRufHK3bLy/dfUYh542JSt5S4v1w1UP5pZt7KirV7mhUOBAAA0cMf4uf8sufmf/68cH11iBeJiGEp2ay77txe915aEGPV+0FatWra2F6z7zlv/MAs+QDa0OZ99JP1ry3e4vaHFQ4HAB1BAQ+xLxAWXvqqVJ437rIhuaP7pCudCM6UMf0ypo7uQUQS0SuLyupsXqUTAQBApBMl6fvN+299c8UnKyv8IZ6IVCwztHty30xLZoLBoI399qrJ8bqHry76+23n5KfFE5FEtGRL3R3vrPh5e4PS0QDgcCjgIfa9+98dciGXk2z640X9lY4DZ9atF/QZ0j2ZiLxB/ukvNgYOGTQYAADgMJurrPf869d/fLfN7g3Kt4ztn/GvP467clg3Nde1zpP7ZVnevOPcW87vo+FYInJ4Q7O+Kn3isw12T1DpaADwP11rxwRd0No9zT+U1hIRp2IfmViEeeNiHsswj04eLLd13N/qeeunCknpSAAAEIFqrZ4nPtvw6Nz11S1uubt7usVw/Zhej08ZEsnzup9RHMtcd27Pd+8aO7Bb+zD7JRUtd723cn1Fi7LBAOAgFPAQyxze0OvfbpWXbz6vd88Ms7J54OyI12uenFos/1hTUmlbvLle6UQAABBBvEH+3SU7//jeypIDdWlWkvG8AZkXDsxKjccoOZSVaHz5ppEPXDFQnpPV6Qs9+dmGt37YHuTRqA1AeSjgIZa9/t1WhzdERAW5iVNHYd64LqRHevyfLy+UlxeU1G+tdSqbBwAAIoFE9NOWutvfWvHV+mp5cJw4vfruiwe89YcxXfaqe4cYoksG57xz55iC3EQikogWb9z3p/dXV7e4lY4G0NWhgIeY9WNp7drdzUSk13APXT0Is4J3NeMLsyYNzyciUZLeWrq30e5TOhEAAChpb6Pzgf+seXXxFrm7O8NQ3yzLu3eNnTg8j2NxktCBVLP+lZtG3nxeHxXLENG+Vvd9s1ct3lCjdC6ALg0FPMSmRrvv3SU75eW7L+6fbjEomwcUcceEfv2zzETkCfDPLtgcxIB2AABdkicQfuP77ffOXl1eZ5dvyUkyXTG0W3GPlDi9WtlsEY5lmOvH9HztltEZCQYiCvHiWz/ueGlRGQ6pAEpBAQ8xSJSkV7/eIs8EM7pP+sVFOUonAmVwLHP/JX0STRoiqmp2vfbNVgxoBwDQpUhEy7bW3/72iu827ZMkiYiS43WPTR78u1HdzQaN0umiRr8sy9t/GDO+MEv+5/Jt9ff/Zw2atgEoAgU8xKAFa6u217YRUYJRe/8VhUrHASWZDer7L+4lt438ZUfDF2sqlU4EAABnSZ3NO33Oupe/LpMHxOFU7DXn9Jh9z3njBmQqHS36GLTcwxOL7rusgFOxRFTV7PrT7FUb9rYqnQugy0EBD7Gmssn10Yo98vL9VxTi93XokWq6fVy+vPyf5bs3VuJsAwAgxoV48eMVe/743sotNTb5lqK8pPfuGnvbBX11mFD2NFw+tNurN49KjtMRkdsffuKzDfN+3YvWbQBnEwp4iClhQXzl6zJeEIno0sE5I3unKZ0IIsLYvilXDcsjIlGSXlxY2tDmVToRAACcKaXV1rveWzn314qwIBKRxah5eGLRrBtHYpz5TtEvy/LmH84tlEenl6SPVux+9otNAXSJBzhbUMBDTPl4xR55gpOMBMNdF/VXOg5EkDsn9BvYLYmIPIHwU59vkodIAACAWOL0hV5dvOXROevlH2oZYi4bkjv7nvPGF2ZhlPlOlGDUvnTjSHmqFyJavavpLx+usboCyqYC6CJQwEPs2FFrX7C2iogYhvnrVYP0Gk7pRBBBOJZ5fMqQVLOeiPa1ul/5egua/AEAxJJlW+v/8M4vP22pkxiJiCxGzW3je//58kKTDuPMdz4Vy/zx4v4PTyzScCwR7W1y/Wn2qt0NDqVzAcQ+FPAQIwJh4dXFW0RJIqLJI/ILchOVTgQRx2LUPDl1qJZTEdHqXU3zfq1QOhEAAHSCRrvv0bnrX/66zOkLEZFWpSrKT7psSLfsJJPS0WLc+MKsl28alWDSElGbJ/jQR+tW7GhQOhRAjEMBDzHi3z+Vy+3lclNMt5zfR+k4EKF6ZpgPTkww55eKNbublM0DAACnQxClBWur7npv5eYqq3xLUV7Si9OGF+Qksmg0f1b0y7K8cds5PdLjiSjIC7MWln78yx60cQM4c1DAQyzYVNX63aZ9RMSxzMNXt7fmAujQBYVZU0Z2JyJJkl5etKW62aV0IgAAOBV7m1z3fbD630vLg2GBiOL1mr9eNWjWjSPTLAalo3UtqWb9azePGt0nnYgkorkrK15e1D6iMAB0OtQ5EPU8gfDfvtkq/9Z73ZhevTLMCgeCiHfHhX2Le6QQkT/EP/n5RrnJJQAARIsgL8xetuu+2av2NjrlWy4ozHr/nnETBmXjursi9Bpu5tQh15zTQ/7n8m31Mz7d4A1ivFiAzocCHqLe2z/ukAc+7Z1hvu7cnkrHgSjAMsyjkwfL8wk1O/zPfrEJFwoAAKJFabX1rndXfr6mUhAlIko165+/fvj0iUVmg0bpaF0awzC3XdD3gSsGqliGiEqrrX/5aK3VjaHpAToZCniIbqvKm5ZtqyciDcc+dHWRCj3e4MSYdOqnrxkmD028bX/bmz/uUDoRAAAch9sffm3xlkc/Wd9o9xERyzCTRuT/649j5UZVEAkuGZzz1DXFOrWKiKqbXQ/8Z82+VrfSoQBiCgp4iGJWd+D177bKy7ec3yc3BYPNwknITjI+NmUwyzBE9MPm/V9vqFE6EQAAHNXP2xvueGfFki11cqc5i1H77LXD/nhRf8waG2mG90x95eZRCUYtEbU4/Q9+uHbb/jalQwHEDhTwEK0kSXr16y1uf5iIivKSJo/IVzoRRJ+h3VPunNBPXn5vyc7SaquyeQAA4EgtTv8Tn26Y9VWpwxsiIk7FFOUlXTYkVx75HCJQ7wzz328dnZVoJCJPIPzY3PVr9zQrHQogRqCAh2j15bpqudyK06sfurqIYdB4Hk7FpBH5FxflEJEgSs8t2Fxr9SidCAAA2omS9NX66jvfXVmyt0W+ZWC3pDsn9C/IxSxxkS4jwfD3W0f3y7IQUYgXn/1i0/Jt9UqHAogFKOAhKlU2uT78ebe8fP/lA5Pjdcrmgah232UFBTmJROQJhJ/4bAMGpQcAiASVTa4/z1797pKd/hBPRCad+oErBr5808hEk1bpaHBCzAbNSzeOlEcoEETp5a+3fLtpn9KhAKIeCniIPkFemLWoNCyIRHRRUc65/dKVTgTRjVOxM38/NCPBQESNdt8zn28KY1B6AADlBMPC+0vL/zR71Z4Ds8SN7Z/x/t3jLhmcg+vu0UWrVj19TfHY/hlEJEnSP7/fPn91pdKhAKJbVxn2g+ejYCJKURQPLkRFYKW899+d+1s9RJSRYLhzfG9F1pW8sbCZToogCPJ6EwShE1edKIoHNwd7RJNKSZJHOyKe54/Rz8KoYZ+cOuSvH6/3BMLba9v+9s2WB68oxGniWSZJkiRJ+FpFOEEQ5AVsrMh3cJcbXb3MNlVZ3/pxZ7PTL/8z1ay/+6J+w3um0IHD7sGjCc/zPK868hl4nj/u4ebQY4eKJJ5v/+fBczBREOUjyBk9K5MkSRTlF2LoKBvryKPnoeHPULDO9dBVhTo1u2RLPRF9sHyXyxe85fze0fShPIS8vaJlzQNFydeEZVmWPdEr612lgHc6nQfP4yOfz+fz+XxKp4hQZfsc32+uJSIVy/zx/PygzxNUblU5HA7FXjsKud2eQCBARG6326HvtO+jz+cLBMJE5HA4jizgD3I6ncd+njgV/WlCj1e+282L0vJtDUl61cShmZ0VEk6QIAihELowRIdQKISNFRU8nqgZ2sPhC89ZvW/dXpv8T5ZhLipImzoiW6dWHXrA9fl88tHE5XIxvPrI53F5gvIdvF72aEdqn88XCASJyOl0alQsL0jyQ3wqUX6Ix+ORz/v9fv+ZO9xLUvvrklpNR9lYXq/34PvVM6ED4XmKqvOQm0ZnqyThh61NRLRgXbXD7btlbF6U1vAUVWu+ixNFMSo2lslk0ulOtEdwVyng4+OjYJzSYLD9eKPX6zUajdJxIpHdG/z3L9Vy5XftOd2H9s5SKkkoFPL7/WazWakA0cjkJZ0uQEQmk6kTV51e7wqKKiIym81HFvAej0e+YBgfH3/ca1DnmM3uMPvmjzuJaEFJbfeMhDHooHEWeTwelmUNBoPSQeBYBEGQawy1Wo2NFeFEUXS73UajkeMi/XxPlKTvN9fOWbnXG2y/VtY9Le5Pl/TvldHBwcJgCOi8IhHFxcWZO+oPz7MBnc5NREaj8WiHG73eo+MZIoqPj9dyqjAv6nQ2ItLrtfJDjMagvN50Ot2ZO9xLkqTT2Q5eIexwYxkMIZ2OJ/n9mg1EpNc7wxQmoug6D/m/ywYmxhvnrqokoqU7mhkVd9+l/aOreQgRBQKBcDgcFxendBA4DpfLJUkSwzBRUQaqVB00JjqaSN+hdxa1uoMfaCPNwd23SqWKisBnmUT0zx/K5ClkCnISp43rwyq305drQmymk8JxnNw6iOO4Tlx1KpVKflq1Wn1kAX/wzECtVp/IWcKVw/IbHYEv11VJRH//bntGUpw8gi6cBQzDsCyLr1WEO/g9wsaKfPKhqnN3uWfC3kbnP77bdrC7u17D3Tiu18Th+aqjNKo6dLff4VvjOF6+wzFOqH7zJJyKGPGwh6g4lfxpP6NnZZIksSx78GvV4cY68uipUqlYNirPQ246v2+cUfvef3dKRD9trRckeujqQQqezp2CUCjEMEzUrfkuKyY3Vlcp4CEGLN5QI88iY9RyD08siq7dPUSRP1zYt6HNu3ZPc4gXn/xsw+u3js5MNCodCgAgBnkC4Y9X7Plm4z7xQD/HUX3S7rl4QKpZr2wwOHMmDc/XcKp/fr9dkqTl2+p5QZw+aTCHWQEBThhGoYfoUNPifn9pubx876UFaRYc2uFMYRhm+qQiud2m0xd6bF4JJpYDAOhcEtFPW+ruePuXrzfUyNV7qln/1O+Ln/p9Mar3mHf5kNwHryiUr8Ss3Nn43IJNPCZ/AThhKOAhCoR4cdaishAvEtEFhVkXFCrW9R26CL2Ge/baYemW9onlnvh0QzAsKB0KACBGVDa5HvzPmlcXb7F7g0TEsczUUd3/ffe4UX3SlI4GZ8lFRTkPTyySe0ms3d389Oeb5NM8ADguFPAQBT5Ytqu62UVEaRb9vZcWKB0HuoQEk/a564bF6zVEtLvB8cLCUjF6ZrIAAIhMbn/4rR+23/v+qp11dvmWorykd+4ce8eF/XTqkxjDCWLA+QWZj05ubzxfsrflyfn4rRzghKCAh0i3sbJ1UUk1EbEMM33iYKMWAzfAWZKTbHrymqEajiWidXua3/xhh9KJAACilSBKizfU3PrWz4sP9HhPjtc9NnnwSzeOzE0xKZ0OlDGmX8aMqUPVKpaINldZn/hsQwA1PMDxoICHiOb0hV5bvEW+7nn9mJ4DchIUDgRdTEFO4mNThsj99L7btO/TVXuVTgQAEH3Kamz/9+9f3/pxh9sfJiKOZSYOz3v/7nHjBmQqHQ0UNqp32lPXFGs5FRFtqbE9PrfEH+KVDgUQ0VDAQ+SSiP72zdY2T5CI+mVZrh/TS+lE0BWN6p1250X95OWPft69pKxW2TwAAFGkvs371PyN0+esq25xy7cM65ny7l1j7754gF6DJnVARFTcI+XJa4bKNfz22rbH55X4gqjhAY4KBTxErm837lu3p5mI9Bpu+qTBR5sPFuBMmzQ8f8rI7kQkEf39222rdzUpnQgAINI5faF3/rvjzndXrt3TLN+Sk2x69rphz103PCcZbebhN4Z2T3nmumHyOAg7au2PzV3vRQ0PcBQo4CFC7Wt1//ung/PGDchIMCibB7q4P1zYV57+QJSkFxeWltXYlE4EABChgrwwf3XlrW/+vKikhudFkkiv4f54Uf937xo7vGeq0ukgQhXlJT173TC5XUZ5veOROes8gbDSoQAiEQp4iEQhXnxxYWmQF4jo/ILMCwdmK50IujqGYf5y1aDhvVKJKCyIT83fuKfBoXQoAIDIIknSki11t7214oPlu+QrqCxLfbLMf76icNKIfA4t6eCYBnZLeu76YXo1R0R7Gp0Pf7wWNTzAkVDAQyR6f2m53Fku3WL402WFSscBICLiWGbG74YU5CYSkT/Ez/h0w36rR+lQAAARQSJaVd5013u/vrZ4i9UVICKGqLhHypXFecN6pmIGGThBBTmJf7ionzwufWWz+9G5JWhLD3AYFPAQcUoqWhZvqCEiFctMn1SEoz5EDi2neubaYT3S44nI6Qs9Ond9i9OvdCgAAIWVVLTc+/6qZxds2tfaPlLdgJyEv986+t5LC+L0amWzQdTplmIaPzBLruH3NDjQHx7gMCjgIbLYPcHXvmmfN+6GMb36Z2PeOIgsRi33/PXDsxKNRGR1BR75ZL08UQIAQBdUWm29/z9rnvhsw95Gp3xLbopp5tShf7tldD8cweFUJcfpxhdmyePS76p3PD53PcalBzgIBTxEEIno1cVbHN4QERXkJF43pqfSiQA6kGDUvnjDiOQ4HRHVt3kfnrPO7kUNDwBdy4a9rX/5cO0jn6wvr7PLt2QkGB6+uui9u8ae0zdd2WwQA5LjdfdeWnBwTLvHMLccwAEo4CGCLFxXtbGylYhMOvX0SUUsg9FuIEKlWfQvThuRYNQSUa3VM33OeqcvpHQoAIAzTpKk1bua7n1/1YxPS7bvt8o3Jpu0919e+P49540fmIVjN3SWHunxz11/YFz6Ovvj80r8IdTwACjgIWLsqnd8sGyXvHzfZQWpZr2yeQCOLTfZNGvaCLNBQ0T7Wt3TP0ENDwCxjBelZdvq73xv5TNfbKqQG8wzjFrFZiYaXrxx5KVDcjHIPHS6gpzE5w7MLbezzv7EpxsCYUHpUAAKQwEPEcETCL+wcDMvSkR0yeCccQMylU4EcHx5qXGzpo2I12uIqLrZ9ejc9W4/JrwBgFjjCYQ/X1N58z+Xv7yobH9r++wbmYnGorykvlmW5DidPN4YwJlQkJv4zLXFOrWKiLbtb3vysw3yNMMAXRZ2uKA8iehv32xtdviJqFtK3D0XD1A6EcCJ6p4W/9KN7TV8ZZNr+ifrUMMDQMxotPtmL9t10xvLZy/bZXW1T7qRYTE8dPWg9+8el5sSh/bycBYM7Jb0/PXD5Rq+rMb21PyNIV5UOhSAYlDAg/IWlVSv3tVERDq1asbvhmjVKqUTAZyE7mnxz98w3KRTE1Flk+vRuetdfrSlB4AoJknSxsrWp+ZvvPWtFZ+vqTw4iVeqWX/egMxHJg++cGC2Cg3m4SwqyE18YupQua3H5irrsws28QJqeOiiUMCDwvY0Ot9f2t71/d5LC3KTTcrmATgFvTPMz18/3KDliKii0fnQx+vsmFsOAKKQwxv6fE3lrW+teHxeydo9zZIkERHHMucXZP7lqkEXDcrOTjKicAdFFPdImTl1KKdiiaikouX5L0vlrpcAXQ0KeFCSN8i/8OVm+TfUCYOyJwzKVjoRwCnqm2V58YYR8nX4mhb3Xz9e23qguSkAQISTJKm02jrrq9Jp/1g2e9muRrtPvt2kU08d1f3DP53/yKTB+IUdFDe8V+rjUwbLwyWu2d00a2GpgBoeuh5O6QDQpf39m63yWUJuiuneSwuUjgNwWvpmWV6+ceSjc9c7faE6m/cvH619adrIjASD0rkAAI6q1upZurV+2bb6VqePGIYkIoaIqE+m5YqhueMGZKJfG0SU0X3Sp08aPOurUkGUfi1vZL6iRyYNRocO6FJQwINivlpf/Wt5IxFp1arHJw/R4RQBol+P9PhXbx71yCfrbe5As8P/l4/WzrphRG4KLlsBQGSxe4O/ljct21q3q95x4DaGiDgVM6Eo54ohuT0zzArGAziGsf0zBFF6eVGZKEkrdzYSoYaHrgUFPChj2/6295eWy8v/d8mAvNQ4ZfMAdJbcZNNrN4+a/sm6Zoff5g789eO1z10/vDdOhQEgAti9wdW7mlbubNy2r02UftP2OM2iz0uNy0+Nv/WCPkrFAzhB5xdkEhFqeOiaUMCDAmzuwPNf/m/W94uLcpROBNCZMhIMr9086pFP1tfZvE5f6OGP1z02ZfDwnqlK5wKALqrZ4V+/t2VVeQd1e1Kc7pKinPEDs0oqWjyBMIt54SBKnF+QKUnSK19vkWt4hmGmTyxCDQ9dAQp4ONt4UXr+y83yGN29Msz/dwm6vkMMSonXv3rTqEfnlVQ3u/wh/qn5G++7rPCSwfitCgDOElGS2WCVuwAAIABJREFUdtTaV26v3Vq3Y1+r57C/mnRcRoIxPzXu+jE9MxKMiiQEOE0XFGZJRK9+vUWUpF92NDBE0ycV4UcoiHnRVMAvX7783XfffeONN9LT05XOAqfuX0t27qi1E5HZoJk5daiGw1QIEJsSTNrXbh717BebSqutgij9/dutrS7/jeN6K50LAGJZnc1bVmMtq7aV1Vjd/vBhf43TqccNyBzTPyMY4vc0OomIQbUD0Wx8YRYdqOFX7GggoodxHR5iXTQV8D/99FMgEFA6BZyWZdvqv95QQ0QswzwyaXCqWa90IoAzyKjlnrtu2GvfbF2+rZ6IPllZYXUH7rusEOcWANCJGu2+7fvbympsZTVWqytwYCB5kkhiiCGiDIshwaTNSjJeUJA5pHsKEZVUtCgaGaDTjC/MIoleXdxew0tEaEsPsS06Cnifz/fZZ5/t2LFD6SBwWqqbXf/4bpu8fNN5vYd0T1Y2D8BZwKnYhycWJcfpPl9TSUQ/ltba3IHHJg8xaKNj9wsAESjICxWNzvI6x85ae3md3e4NHvpXuXBhGSYryXh+35SxBTnEsPLFSVxvh5g0fmAWUXsN/8uOBkmSMKYdxLBIP4NcunTpkiVLqqurg8Hg8e8NEcztDz/9xaZgWCCiUX3Srj23p9KJAM4Shuj28X1TzPp3ftwhStKGva1//mD1U9cUZyWi3ykAnBB/iK9sclU0OSubXHsbnfutHkE8dCy69ovuLMP0zDAP6pbU5gmkmvWJJs3o/DizWd/kxEkUxLjxA7OIaW9Lj3HpIbZFegFfU1PT0NCg1Wq1Wq3b7ZZ+O3QqRAtRkl5cWNpo9xFRdpLxoauLsEOFruaq4m4pcbpZX5UGwsJ+q+e+2asfmzJ4aPcUpXMBQMTxh/ham3d/q3tfq2e/1bOv1d3k8Hd0CiQRMWoVS4xIEqtimRduGDYgJ0kQpXm/ViiQG0BR4wuzGKJXUMNDrIv0Av6OO+6444475OVp06a5XC5l88Cpmb1s16aqViLSa7iZU4ca0XgYuqRRfdL+dsvopz7f2OL0ewLhGfM23HFh3ykjuyudCwAUY/cEW1z+Rruv0e5rsPsa2ryNdp/NfZwRf9QqVq/lhvVIuaK4W68M813v/eLwhIhIj8MrdG0XFGbRITW8JNEjkwdzqOEhtmBHD2fcz9sbFqytIiKG6KGrB3VLiVM6EYBieqTHv3nHuc8t2Lx1n02UpH/9VF7V7P7z5YWYjgEgVgXCgs0dsHuDbe5gmyfo8AZbXYEWp7/V5be6AmFBPO4zsAyTmWjonhbfK8PcIz2+stG1obKFiEb0SuufnXDm3wFANLmgMIthmJcXlYmS9Gt5o7RQenTyENTwEEu6SgFvs9miqPm9x+PxeA6fsjVK1Vh9f1vcPvrgxOKsPsmc1WpVNlIniqX3chY4HB6fz0dEDofDquE762k9Ho/PFyYiq9XKHv0IbbPZOusVT99fLukxZxW3dEczES3dWlfZaL/vol6p8VqlcymP53mMeBItgsFgl91YkiT5QoI/JPpDvC8seAO8N8h7Q4IvKHgDvDvIu/1hV4B3+3l3IBziOyrRBSLV4c/a3o+dyKjnLDr10O4J2YmGrAR9ZoL+0PJjz/5AOBwmIrfbbbWqiUgUBPkkx2G3W9mwIEryzlZNaqI4p9Npt/vlW5xOlXzgcrlc8i12u53jfUTk9Xp9QZ5lmKMd2hwO9//24VqeiAJ+v5ykrc2uFnxHPsTuCsoPcblYq7XTfqZ0u9uTtLW1CQH1kXdo8xx8XbJaOz7X9Xg8Pl+QiGw2m0bF8kL7SvMwvLwGXE6X/O68Xu+ZO9xLUvvr6jg1ETmdziPvc+jG0oj+9vABnmL0PMTpPOSTxoVO4RkK0zV3j+/xzrJKUZJWlTc99em6eyf07NwaPibXfEwSRTEqNpbJZNLpdCd4565SwIMi3AH+7z/uCQkiEQ3NT5hSnKV0IoCIwLHMrWPzcpMNH/1aI4hSdav3sS+23TEuf2TPJKWjAXQJvCgFw4I/JIZ4IciL/pAQFqRAWPCHhJAgBsPCwVt8ISEYbr+PPyQEwkIgLAbCwqm97sEJ3khFLMNYjGqSJF6U1Cr23D4pBVnxaWbt2gpbkBc1KvbKIZmd944BupbRvZIYht5ZVimI0oaqtjeWVNw3oSenQmM3iAVdpYDnOC7yr8CLoiiKIhGpVKoYmOiFF6U3luyyuoNElJWg/9NFfdTqwy83RC95Y3FcV/kGdQqVSsWyrLzQiatOpVKxrEBEHMcdeQVeOHBhKgK/VhcPzKy3+1eWt/rDgj8k/POnveWNnpvH5mu66hmGIAhEpFLFzo4iJkmSJG8phmEU31jeIO8LCr4Q7w3ygbBcY8vLQiAshnhRXg6GRbk4D/JCMCz6QsIJnRJIEjHMITX3SVOr2DgdF6dXJxjVZoMmwaDZ3eSqavYwDPXJjJt+xQAVy8xdXbO32U1EI3sld08xERHL2lmWWJY92n6SZVl5b3bkfTgVx3EcI0ryzvbQXe5hu98jd8isjGGO9rpHPoQ5kITjOt6rq1T8mdjty0mJiOO4Dp+W44Tjvu5vnkTFSiQeXGntq4hTHW09dyJJkliWPfiB7PBQdeSaV6lULCvK4c9QMAV11tnCmL5pnEr1zyV7BFHaVG3/50+VD1za5/RreFEUJUlSfO8Hx8Xz7Y09o+JrIn/mT1AUvJ9OYTablY5wfH6/3+v1EpFerz/xRhQR660ftu+sdxKRSad+5roRGUkxNWNWIBDweDwWi0XpINEkzks6nZ+I4uLiOnHV6fXOgMASkcViObKAdzgc8h7cYrFEWgFPRN3SEq4wGtbuaa6zeYlo6famyhbv41OG5CSblI6mAIfDoVKp4uIwTEZE43ne4XAQkUajORMbSyJyekMuf8jlD7l9YZc/5PKHXb6QOxD2+MOeQNjtD7kDYW+A9wTCR38WiQ79vp9GEX7Yg/Uazqjl9FrOoOEESQqFBQ3Hdk+Lz0w0mnTqvU3OEC9qOXbqqO6JcTq95vCzrHeX7Nxv9RGRUa9LSkwgIp1Ox3F+IjKZ4iwWMxHp9TYmLGg51dH2kwa9Qz4fNRqN8n1YlYphBCIyxcdZLGZBlHS6ViLS6dREZDKZ4gS1TueWl+WHGI0hnS5MRPHx8RaLgYj0ervAhFmGOdrrxnklnS5Ah+zDtVotx4UOfZLD+CWfTuc6NGqnMBr9Oq/Y/rqmDjof8axfp3Me+3UNBreXZ4jIbDZrOVWYF3U6KxEZDLoDqyggr2e9Xn/mDveSJOl0rXJbfSIymUxq9eGdAozWQzeWkYj0ekdIUhFRTJ6HmNziIZ+0+NN5qkuHWUwm46yFpbwobaxue+OnyiemDlWfXg3v9XpDoVBMrvkYI3egZlk29jZWVyng4Sz7dtO+xRv3ERHDMNMnFWXHVvUO0Im0atWFg7LVLPuf5bt4Uapucd/7/qo7J/S7bGi3iPu9AaAz2L1BhzdkcwfsnmCbJ2j3BB0++f8hpzfk8IWOf3lc/jtz+C0Sc+C2w36tO/AvNacyaFQGLafXcFqO1Wk4g5bTcKxew+1pcLj8YZZhLhiYnRavM2i5kj3NxDJxOvUVxd10apVOwx02hUpZjW3bPhsRje2fIY/P+v3m/fIA8mkWAxrrAkSCMf0ymMnMiws386K0vqLlmc83PTF1KAaOhaiGAh46X2m19e0f2weuu3183+E9U5XNAxDhGKLfjeo+IDfxxYWbmx3+QFh44/vtv5Y3PXjlwFSzXul0ACeNF0SrO2B1BZqdfps7YHMHrO5AmzvY6grYvUH+BMZd78AhF9VZltFwrFGnTorTGbWcwxt0+kIsywzOS8pPi9druF31jjAvcirmqmF5Jp1aEMUlW+rUKjYz0Ti+sOPRWN75746qZhcRXVCQkZNkIqJ6m4cXJaOWy0rEb9AAUezcfumPTRnywpebeVEq2dsy87MNT11TrIuhfp3Q1aCAh05WZ/M+t2CzIEpEdNGg7KmjMMc1wAnpl2V5+w9jXv9226/ljURUWm29892Vf5jQ77IhubgUD5HJH+Kb7L5mp7/Z6W92+Fucfnl2NLsneOAaukCC6ojh1g+pxn/buF2v4XRqllOxWrWqd1ZColETb9DsrLVr1WyCUXvJ4Nw4ndoVCK0ubyKiftkJxT1SiOjTVXs3V7US0YUDs4vyk4mIF0SnL0REvTLMROQJhE+z0SwARLVz+qbP+N3Q57/cHBbE0mrr4/NKnr12mEGLOgiiEj640Jnc/vDMzzbI/RILchP/fHmh0okAoolJp57xuyErdjS89cMOlz/kD/FvfLdtVXnjA1fgUjwoiRfEZqe/0e5rcvgabJ46q6vVFWx1h9yH90I/sq/5b6p3tYrVcKxByyXEaftmJliMmmBIbHH5dBpudJ+0orxkDccu3VrXaPcR0eSR3Y1aTiL65Jc9RGQ2aPJT44goyJ/iCPAA0JWN6pP21DXFz3y+KcgL2/e3PfLJ+hduGG7SdTANIUCEQwEPnYYXpecWbKpv8xJRusUwc+pQ9AAEOAXnDcgclJf0z++3r97VRESbq6x3vrty2theE0fkd+40tgBHCoSFhjZvQ5uvwe5taPM22n2NDl+rMyCe0EwuDBGpWCbVrE+3GJLjdSUVLZIkcSr2heuHJ5h0RPTNxhoiyk0xjeufSUQ7a+2bqlqJKMGoRa9UADijinukPHvdsCfnb/SH+N0NjofnrHvxhhFmg0bpXAAnBwU8dJq3f9heVmMjIoOWe+baYuwQAU5ZglE7c+rQn7c3vP1j+6X4fy8t/29Z7T2XDBicn6x0OogRYUFsaPPW2bz1bd6GNm99m6++zSuPwdYBgQ5rCa9VkSAxKpbJSjRNKMpOM+ubnH67O6BVqy4uypHbjNz57i+BkKBSMflp8UTk8IbO+LsCADi6QXlJL9wwfMa8Em+Qr2xyPfTxulnTRiR2NJcBQMSKpgL+k08+UToCHNUXa6u+27yfiFiGeXTyYHk8XgA4HecXZBblJb393x0rdzYS0X6r55FP1o/tn3HnhH4p8WhRDydBlKRmh7++zVvf5q2zeuravPVt3hZnoKPx3g+v1FUsk2YxpJr1u+vtKpY169R3X9g9JU5bUu34trSBiAbkJEwekU9Ea/c0+44xtRsAQATon50w68aRj81Z7w6G97W67/9g1Us3jspI6GAeRIDIFE0FPESsJWW1s5eWy8t3TuiHYecBOkuCSfv4lCGXDbG+9eOOWquHiFbubCypaLn23J6TRuRjEF3okNsfrmvz1lo99TZvrc1T3+att3nDxxz7/eCgcmaTrn9mYmai0eENMgyZdOqbz+9j0HBOf+hP/15FRPEGdX4KRmUHgCjWO8P816sHPrtgMy9Kzc7Agx+ueeH64XJDIYDIhwIeTtfa3c2vf7dNvogzaXj+pBH5CgcCiDmD85PfvWvsV+ur566s8If4QFj48OfdX2+oue7cnpcPycVgE12ZIErNDl+tzVtr9chFe63VIw/Afmwcy6QnGDITjdmJxqwk44aK1r1NThXLTBzRbfKIHkT0Y2ltq8tPRCqMvAAAMScn2dQj3VzV7AoLYpsn+NeP1z19bXFBTqLSuQCODwU8nJat+2wvLGyfNG58YdZdF/dXOhFAbOJYZuqo7ucXZL6/tHzF9gaJyO4Jvv3jji/XVd04tvf4gVksgyor9nkC4Tq5Vrd5a22eWpunoc3XwbTqBweDP7CQHKfLSmqv1bOTTNlJxjSL4dAxEWua3dUtrrP1PgAAlKdVsz3T42ttXk8g7AmEH5tbMmPKkOG90IwUIh0KeDh1e5tcT83fGOJFIhreK/XBqwahgAA4o5LjdI9MGjxpRP5/lu8urbYSUbPD/+riLZ+vrbz2nJ7jBmRimPqYIfdar7V55HJdrtvt3iAR0cF+64dtbUkihtGqVQlGjVbNmQ3qsf0z+2ZZspOMeg0O9wAAh1Nz7Ll902ta3bvqHcGw8PTnGx+8atD4wiylcwEcC47ocIoa2rzyGJ5ENCAnYcaUIagcAM6OPpmWWdNGlNXYPly+q7zOTgyzv9Xz8qKy/yzfPWlE3qWDcw1a7NujjCcQrm/736X1Otsxe60fsq9NjtcZdZzHH9aqVcXdU6aO7pFi1q8qb6xpcRPROX3TMboyAMAxaDjVrGkjnvli0+YqKy9Krywqc/pCk9EhFCIYTvLgVFhdgUfnlsjXgvJT4565dpgWg2kBnF1FeUmv33bOmt3N//huq8MbIklqdfn/9VP5JysrLh+SO3F4fnK8TumM0AFelJrsvlqbp97mrWvz1tu8+63u/82vJh1xXf0ALafKSjJmJBhcvpDZoMlPjZ8yKl+v4X7eUf/9pv1ElJNskidvAwCAE6fXcM9eO+ylRWUrdzZKRO8t2WlzB+64sB8uTEFkQgEPJ83uCU7/ZF2Tw0dE6RbD89cPN+nUSocC6KJG9UmrbOpWa/PsqXc0OvxE5AvyX6yt+mp99fBeaZcMzhnWMwXd4xVkdQXkOdvaB4S3eZsdPl48cvK2Aw5sK4tRk5cSl51kyk425iSZcpJMqWYdwzD+EL9gbRURpVn0aBgPANApOBX76OTBZoPmm437iGjB2qo2T/AvVw7EMLEQgXDsh5Pj9IUembu+zuYlokST9sUbhifF4SofgMJykkwFOYm9MsxfrK1as7tZkiRelNbsblqzuyk5TjdhUPbFRTmY5PZMc3hD8kTrDXLF3uats3mDYeFEHqvjVMN7p2YnGUWRnP5QvF590aDs7CTTmc4MAAAylmHuvbQgKU730c+7JaLl2+od3uDMqUPxUylEGnwi4SR4AuHH5q6Xu1aaDZqXpo3MTMRswACRol92wsypQxvavF+tr16+vcETCBOR1R34dNXez1btLeyWNKZf+jl90/Gj2+mze4MNbT65UG+wty/4gvxxH8gwTKpZl51oyk4yZiebalrcP2+rZxjqmRb/+JQhRLS5yrqjtu3MvwMAAOjAdef2TDJpX/9umyBKm6usf/143XPXDUswYjARiCAo4OFE+UP8jHkle5tcRGTSqV+8YURuCq4OAUSczETj/11acMeEfqt2Nv1Qun/7/jaJSCLaus+2dZ/t7f/u7J9tGdMv49x+6Snx6C99HKIktToDDXZvo90n/9dg9za0+fwhXiJi5Ibwh3ZQ+O0tRi1n1KrjDOpRvVO7p5mzEo1ZSUb1IQ0yF66rRv8GAICIclFRjsWoff7LzYGwsLfR+cB/1jx77bCcZJz0QqRAAQ8nJBgWnvh0Q3m9g4gMWu6FG4b3SI9XOhQAHJWWU40fmDV+YFadzfvfstrl2+qt7gARSZK0o9a+o9b+3pKd+WnxQ7onD85PLsxNxDiUnkC4yeFvsvuaHL5Gu6/JIf/n72CWdSKSi/T22lsiYkw6tUbN+AKCimWKuiVfO7ZnVqKxpKKlzuYhoonD8+L0mrP2XgAA4HQM75X60o0jZ362wekLNdp9D3y4ZubUoQO7JSmdC4AIBTyciGBYeHL+xm3724hIp1Y9e92wPpkWpUMBwAnJTjLePr7vbRf02V5rX1XeuKq8qb2SJ6pqdlU1uxasrVKr2AE5CUX5yQNyEnplmGO7v5/bH252+lud/manv9nha3L4m52+Zodf7nHwG4ddYJfHh5co3qDJTDSkmPUObzBer+meFn/VsG7xes2HP5cv39ZIRHmppt4Z5rP3lgAAoLP1zbL87ZbRMz4tabT73P7wY3NLHrxy4AWYIh4iQCyfpUGnCISFmZ9t2FJjIyItp3r62mEFOYlKhwKAk8MwTGFuYmFu4h8v6l9e71hV3rRmd1Oj3Sf/NSyIZdW2smobMcQyTG6KqU+mpW+WpXeGOSfZFI0X54NhocXpt7oDVlegxeW3uQKtrkCz09/i9PtDx++p3o4ho5bLSTblpcZlJBg+X10pShJLzBd/nUBELn/o65IaIspKNMTj6joAQMzJTjL+47ZznvxsQ3m9IyyILy8qa3L4rx6SoXQu6OpQwMOx+EP8E59ukK+9azh25u+HFuWh+RBAFGMYpn92Qv/shDsn9Gu0+0qrraXV1tIqq/vA9WdRkmpa3DUt7v+W1cr3T7foc5NN3VLicpJNmYmGNLM+KU6n+NR0Ln/I4Qk5fEGbO+jwBe2eoNUdaHMHbZ6AzRXwnsB4cocyajmtWmXUqfNT4wblJaVbDC1Of6vLzzLMhEHZ6RYDEX29vibIC+ixDgDQdZgNmpduGvnyorJV5U0S0UcrdtdZXbeOzVM6F3RpKODhqHxBfsanJTtq7USk5VRPXVM8pHuy0qEAoNNkJBgyEnIvG5Lr9odmL9/d4vT7grzdE2xy+IhEklgikkiSB29bX9Fy8IEqlkmO16XG61MteotBG29Qmw1as0Edr9cYdWqdWmXQchqOPamm+J5A2OEL8SJj9Un+sOAN8N5g2BvkvYGwJxD2+MMOX8jtD7v8IZcv5PKHD3ZNF4lYebGDyXql3w4xRyYdm5kQl2LWp5r1aRZ9usWQbtanWQw2d2DFjgYiKshNHJyfTEQlFS02d+Ak1ygAAMQaLaeaMWXIv5fu+nJdFREt297Y5PA9ec1wswFtr0AZKOChY94g//jc9fKodTq16ulrh+HaO0CsYhgmyaRNMmkzE43jC7OcvtD8VRW/7moOhAUVSy5fWBClQ+8viFKzw9/s8NP+4zyzTq3iDgy6rlWrNFz7si/IH3zOQFg42kBxv3V4NS5j6WDp3n4HjYrlRZFhmJykuLEDMlLj9R+u2OMNhFiGeeXmkd1TO+idbnOfwOsDAECXxDDMnRP6ZSQY3v5xhyhJO+qcf5q9aubU4p4Y0RmUgAIeOuAJhB+dW7KnwUFEeg33zLXFGHgToOswGzTd0+IrmlxEdEFB1oRB2bVWz36rZ7/V0+TwNzt8cq9y/rdVfYcCYYHCgrzcwShxJ6e9etdruDi9OtGktRi1CUYNw7BlNa1qFdsjLf7WC/ommrQvLyrbWNlKREV5yTeM6UVEn66u9AfR+B0AAE7dlcXdMhIML3y52Rvkmx3+Bz9c88AVA88vyFQ6F3Q5KODhcFZ34PF5JTUtbiLSa7jnrseodQBdGqdi89Pi89N+c51BlCSbO9DqCrh87W3anb6Q0xfyh3hPIBzmxUD4/9u78/io6nv/459ZMzOZ7AmQAAkQBIIIiHFn04pba1VALy7VqthbrSv+rhZ/LvfK1dLeq9SttFdotT97rRaLdnFBrbiwKKisCkjYCYSQbTL7mXPO74+TTMfJBCImzpzk9Xz48MF8c873+53v+c7ynrOpoWgsGtOCXz0dXdV0mzU5S2c5rIVel9MmDps1N9uV5bAZd1DPdtkPNAVbgtEsh+3sEwZWFHtzPc7E+6iLyI661n0NrSJS5M3ql8ed7QEAPaW6suTnV570s1c27G8KRRR1/tLPth9sueE7o9J+XRj0KQR4fMWeev//feHjQy0hEcnOsj985SlVgwrS3SkAGcdqsZTkuktyv1FgjijqSytrRKRfnvu88YObm5ttNltOTk7iMiu2HNxR5xOR8mJvUY7rmzQHAMA3VFbg/s/Lxv7Pe7tWba0TkSWrduysa/3p9PHcjgTfmhTX/EGftXlv05znVhrpvdCb9V/XnE56BwAAAOLcTtuDl1f/YMoIY7f7Jzvqf/LMh1trm9PcLfQZBHi0WbW1bu7zH7WGFBEZVJS94LozKrkyBwAAAPBVFpGrJx/34OXVniy7iBxqCc15dtVf1uxKd7/QJxDgISLy2qd7HvrTJ5GYKiIjy/If++EZxn2PAQAAAHR0+sj+T94wcWi/HBGJqdrTb2x+5M+fhaKxo64IfBME+L5O0/XF72x5/O8bNV0XkROHFv/8B6dyZ0sAAADgyAYVZT9xw8QLJpQbD9/bXHvLog93HuLepOhBBPg+zR9W7n9hjXERKRE5d9ygh688xe3k0oYAAADA0Tnt1ju+e8Kd3xvrtFtFZF9D4Pbfrnj90z3p7hd6LQJ832W8vxh3S7aIXDt15F3fH9fx9k4AAAAAjuD8Ewf/8rozywqzRSSiqL/8+8b/XPKpP6yku1/ohQjwfdTamvrbf7tiX0NARNxO+/2XnXTlpOHp7hQAAABgSpUDcp+aPXFSVanx8IMvDtz0Px9s2tuY3l6h9+krB0uHQqF0d+HoFEWJ/0PX9R5qRRd5Zc2e//d+jXHSe/88972Xjq0ozjbFEGWOWCwmJplXmSMSiRjjFolEunHoFEWJbw5rh0NINE0z/hEKhSyWjDvARFGUWEwV3XLMA6K3z0ZFOfZKwpGYUUk0GjUqiSqKMXSKEu25eR5R1MR2jRaTmotGo8Yy4XA4ZE/xxhiJhNu6GosZ66qqavwp1l6i623TIBJOPffC4XDS5PxKuyGLiOiii4iut/UwHFaSBi0Wixlv3TEl1rESu6gd21WUqPEPVdOMVeIvk3A4HArZOq4SinbYWNFo+8ZSUnTepqUa+2SxmGp0vmMloVBIs9vCoaixgKa1bQVN19qer6qmaNcpIqJpmq7rmtbpoHV8W0isxKrZOs7w+MaKV6LEYsYIxCtJfFuQVDO8IzVeSThijLyiKKouilXvbJWvbix7Urt2W4p9JMZfRURtH7RY6s5rVl3rrN34yzP+dJJmuKrpRkOxmMWouSsz3Oi8pfOPto4bK975cDhiVJKk48bqFked4V1pN2mGKzGtfaYpnb2yeoKu6+3DaJWEQU7Z1XA4HApZpcMM72V66NtCcivhiLF9458UXWS81Xe2ilXkru9WjR2ct+jdLyOKeqgldPfvV19+2pDLTh9izbwvIX3BETZWRnE4HHZ7V4N5XwnwwWCw5yJxt4tEIpFIpCdqDkbV/3l3x5odbb8FVpXl3n7ecTkuCQQCPdFcr8e4fS2hUCgajRr/CARSJJNjE4lEolFFRAKBQMcAHxcMBrurxW4UjUajUVWzWY55Lul3KkvwAAAgAElEQVQixqhGrNoxVxKIxNoqiViNSiKRiBGDI5FIz83zaEwz2o1G20ZA07SkL6/hcNhYJhgMuiwpLu0bCoWMrsZiilFJPEgr7SW6phsloVAwEEgRq+KTMxwOG6vE2w2FQgG7JiK6ruu6bml/4QfCStKgRaNRTddEJKoo8WE0lgkEAhbVkWIE2n+u1VQ1RbupBj6sqO3tWpI2VjQaTWo3GAw6pUsHcCoxpa3z7ZVEo9F4JTGbNRRVjQXiP4ppaltJrP35Jm6sgE0VEU3XNF0TrW2IgqH4TLOler7WpEHTFVvHGR4KhZM2lhKNGiMQL4lEItFoTOIbq8MMTzECimJUEgqFAoG23zJimm4XW2erfLXzlqTOpw7wStvvIGosFh/nhHatbSMf08TWaVfjq8RfnkkzXNX0tleWXZe21Hf0GR6NRqPRmNXS6dtRx/fwWPugBYPBgCPFT1ShUCSp3W6ROMMdqWZ4MHj0dpNmeEzV2ydJ27QJh8JJr6yeoOtt7RoBPhwOd1zmKxvLqUuHGd7LdHxl9YRAsO2zQ2l/MX691Y+4yhmVeRWFxz/11vY9DUFV019YufPTHYd//J3KfrlZx95jHBNd103xMvF6vQT4ZEVFRenuwtGFQiFjhnm9XpfL1e311xz0/efST2sb2ybx906quOn84+2c9H5MwuGw3+8vLi5Od0fM5HDE7jkcFZH8/Pzi4vzuqtbrDSgSEZHi4uKOAb65udkIhEVFRRm4Bz4722exxxx26zHPJV3E42kUEa/HecyVuMKKx+MTkZycbKOSnP0hh6NZRLzenJ6b5xFF9XiMVtzFxcXNzc02my0nJydxmdzDMU9IRKSwsLA4J8Ubo09tdTj2i4jb5Ta6mpW1x9jW8RKrzWaU5BcUFBfndawkJH6PJyQieXl5xiq5TZrHr4lIQUFBcb5HRKwWq8WiW0SMBZyhqMfTKgmD5vHU26wtIuLxtLWbczDaErWISFFRUY47xd09sj2tRsccDoexSp5PPD61rd0ib4quRmMeT4uI5OR42lqpizgcTSKSnd2++eqV+KAVerv0fdHtOmiz2hIr8XpDIc1mdD7LbnOEosYCdnvbr292u8MocblcbYPWqHoCutFucZ5bROw2e0xVbTaLsYA9EG2faV6j5FDI5mmIvy3kiUhObdgfa2s3O8vecYZHrAGPJygiubm57SPf7HAEEjef1+tXrVFp31gdZ3hHLnedw6GISH5BvjHyHk9TTNOzs+ydrZLnt3iaY20bqzhHRLzeYEQPG+2mDPAu9yFjizuzsto7f9jhiCSOQHZ2i01Rs+y2ztr1ZvsdDuPp5CTMcFXaZ7iq6R5Pk4h4PA5jWELiOuoMz85u1W2K1WLprN3DEZvnsCIJ7+Eu90GHIyYihYUFxQUp7j6r2IIeT0ASNla3SJzhBSlnuDN01HaTZrgS04xB83rj8znmcDRIwouiJ+i67vE0xY/BzMvLcziSf+zLbdY8re0bqzBbOszwXuZgyOppiM+03B5qJWLxOxz7RMTd/g7WRYFAIBqNFhQUHHmx4mJ5eujARW9/8Zc1u3SRrQdb57608YbvjLro5CEZ912kl2poaNB13Wq1FhYWprsv3ayvBHi88dneX72x2bjTe5bDdtuFY84ZOyjdnQIAAAB6IafdevP5x08YVvzLv21sCkTCivr0G5s/3HJwzkVjB+Sn+MEL6CIuYtf7RRT10b+sX/C3DUZ6H1SU/cT1Z5LeAQAAgB512oj+/3PT5KnHlxkP1+9q+PFvPvj7J7tNc2YvMg8Bvpfbeaj19t+tXLZ+n/HwjJEDnrhh4pB+OUdeCwAAAMA3l+t2zp1+4kOzTjbOaQpFY0+8tun/PLdq16HWdHcNpkSA77U0XX9xRc0tiz7cWecTEbvN+pPzj3/w8pOyszhvAgAAAPj2nHpcv4U/mjyxaoDxcNOexp8888Fv/7EloqS4ACRwBGS53ulQS+gXr6zbuKftavMDC7N/eun4EWXddtkwAAAAAF2Xn+28f+ZJ722uXbjs8yZ/JKbpL66oWb659ifnjzn1uH7p7h1MgwDfC72zcf/Tr28KRNrut3TBhPIfnzva5ei2u3YBAAAAOAZTji+rHt7v2X9s+dsnezRdr2sOPfDHNWeMHPCv51ZxcTt0BQG+VznYHHz6jc0ff3nIeJjncd75vbGnj+yf3l4BAAAAMGRn2X9ywZhp4wc/8feNXx5oEZGVWw+urTk0/dRhsyZWup0ENBwJ86OXiKnan1bteOHD7fETaU4eXnLXReNS3x8VAAAAQPqMKM174oYz/7p293Pvbg1EYtGY9scV25et33vd2aOmjR1osXDDeKRGgO8N1u9qePL1TXsP+42HOW7HDWePOn9COa97AAAAIDNZLZaLTx4yeXTpc+9ufWPdPl3XG/2RR/+y/q9rdv3reaPHDC5MdweRiQjw5lbvC/32H1vf3bjfuJmkReSccYNuPKcqz+NMc88AAAAAHE1BdtYd3xv7veohv35zs3EJ6m0HWu56dtVpI/r/8KyRQ7n9M76KAG9WoWjspZU1L6/eGT9mvqIk59YLx5xQzm91AAAAgJkMH5D739ee/sEXB555+4u65pCIrN5W99GXh84+oezaKSP757vT3UFkCgK8+ei6/ua6fc8t39rojxglLoftqsnHTT9tmN3KUfMAAACAKU2qKj31uP6vfLzzpZU1rSFF1/V3Nux/b/OB704ov2LicC5uBSHAm87amvrF72zZUeczHloslmljB1571sjiHFd6OwYAAADgG3LarZefUXnhhPI/rdyx9OOdEUWNqdqra3a9/tmeaeMGX3b6sNIC7jbXpxHgTWPD7obn3t22aW9jvGRsRdG/TqsaXpqXxl4BAAAA6F5el+O6s0defMqQ59//8s3P9sQ0PRrT/v7J7tc/3TPl+NLLz6gc1j833X1EehDgTWDz3qbfL9+6bldDvGRgYfbsc0adMXJAGnsFAAAAoOcUerNuu3DMzNOG/nFFzTsb98dUTdP1dzfVLt9UWz28ZMZpw8YPLeYE2r6GAJ/RNu5p/OOH29fW1MdLinNdV04cft6J5ZzuDgAAAPR6ZYXZcy4ae82UEX/+aOdrn+4JRWO6yJrt9Wu215eXeC85Zeh3ThjoctjS3U18SwjwmSim6e9uqv3z6h3bDrTECwu8WbPOHP7dk8odNmsa+wYAAADgW1ac6/rRtKorJg7/y5pdr67Z1RKMisieev8Tf9/423e2nH/i4IuqKwbkc3p870eAzyxhRV2+pf6NDXX1vnC8MNftvOyMYRefPCSLn9YAAACAvirH7bhq8nGXn1n53ubaJat37qzziYg/rCxZtePl1TvHDyk6Z+zASaNLs+ykhl6LAJ9ZPq5p/H8f7o4/LCvMvvSUIeeOH8xRMQAAAABExGGznjN20DljB63b1fDqx7tWb6vTdF3X9c92Hv5s5+Fn3v7inLGDzh8/eHCxN909RfcjwGeWM0YU//GjvS1BZczgwumnDT1jZH+LhXPdAQAAACQbP6Ro/JCig83Bv67d/db6fcZx9c2B6JJVO5as2lE1qGDq8WVTRpdyA/nehACfWexWy/WThwwsyT9hSL909wUAAABAphuQ77nxnKrrzhq5cmvdG5/t/XTnYV3XReSLfU1f7Gv6zbLPxw0pOmtM2ZmjBnhdjnR3Ft8UAT7jVA8t9Ho53AUAAABAV9lt1smjSyePLq1rDr25bu9bG/YdagmJiNZ+aP2Tr20aN6TojJH9Tx3RvzjHle7+4hgR4AEAAACgl+if775m6ogfTB2xeW/j8k21739+wDi0XlG1tTX1a2vqLa9tOq4077SR/U87rv+wAbmcr2suBHgAAAAA6FUsImMGF44ZXHjTecd/tvPwu5tqV2+r84cVEdFFth1o2Xag5ffLtxV4syYMK64eVjJhWEl+tjPdvcbREeABAAAAoHeyWS3VlSXVlSWqpm/c07h6a92qbXUHm4PGX5v8kXc27H9nw36LSOWA3PFDi8dWFB0/uICz5TMWAR4AAAAAejmb1WJctf7H543eWedb/eWhNdsPbdnfrGq6iOgi2w/6th/0LVm1w2qxDOufc0JF0diKwqqBBVzEPqMQ4AEAAACgDxnaP3do/9wrJg4PRGLrdh7+ZMfhT3fUH2hq2y2v6boR5pd+tFNESnLdI8ryRpTljSzLP640j53z6WWCAB8Oh59//vnVq1f7fL7Kysrx48fPnDnTZrOlu18AAAAAYGLZWfYzRw04c9QAEaltDGzY3bhhT8PG3Y3GFewN9b5QvS+0YstB4+GAfM/Q/jnD+ucO65dbOSB3QIGHy+B9mzI9wB8+fHjevHk7d+4Ukby8vM2bN2/evHn9+vVz587NyclJd+8AAAAAoDcoK8wuK8w+/8TBIlLXHNqwu2Hz3sattS2761uNw+wNB5uDB5uDq7bWGQ9dDtugYm95wn+lBR67zZqe59AHZHqAX7Bgwc6dO48//vi77rqruLi4trb24Ycf3rRp0+LFi++444509w4AAAAAepv++e5p+YOmjRskIpGYWnPQt7W2eVtty/aDLfsbAol5Pqyo2w+0bD/QEi+xWiwlea6yguzSAk9pgaesILtfnqsk18259N0iowP8li1bNm7c6PV67733XmN/e1lZ2QMPPPDjH//43Xffveqqq0pKStLdRwAAAADotbLsttGDCkYPKjAeRmPa7vrWmoO+nYd8O+padx1q9YWiictrul7XHKprDn228yv1OGzWfnnuklxXSZ67OMdV4M2K/z8/O8tpZ6d9l2R0gF+5cqWIVFdXJx4t379//6qqqk2bNq1evfqiiy5KX+8AAAAAoG9x2q3HleYdV5oXL2kJRnfXt+5tCOypb917OFDbFDjUEkrcS29QVG1/Y2B/YyBltW6nvSgnK8/jzPU4C7Kz8jxOr8uR4zb+c3pdjuwse7bLkZ2V0QH2W5DRz7+mpkZEJkyYkFQ+YcKETZs2GX8FAAAAAKRLnsc5tqJobEVRvCSm6fUtodqmwIGm4IGmYL0vXN8SOtQSavBHdD052BtC0di+hti+htTxPpHX5ch22bOzHG6nze20e7Ls2Vl2l9PutFu9LofDZs1y2DQlPDDfVVHi7bYnmTEyOsDX1taKSHFxcVK5UbJ///6uV6UoSjd2rIeoqhr/hyk63JcZG4vN9LXEYjFN04x/dOPQqapqVKsoitWafBnU+IeEoigWS8ZdJNXovKrqxzwguojx9L/J+4aiKEmVqKpqDF2Pvh0piprYrq7rmqYlNRffvp1NGyWmGF2Nr6uqmvEnTWvrfHwadFZJx8mZarq23SbXeJhi0DRNF934R3wY45NTsaeYfsZfRUTTpPN2kwYtltxuLHljfaVdpUtHJCZ0PkUlVl1TFMVYID6YuuhGidbh+cY7r+u6LrquWTobtI7P9yudt+odZ3jKVYxepawkZbsd6ZrWVomSUIl+pFWO3HldSzHyuqbGmzNW0drbVdWvVKKqnX7ExDo836QZrmq60Y1497oyw4129c4/2jquEu+8onT1ldUtjjrD4+0eYfMlz/CYdtRXVk8w3vd0XRexGD0/wtPpbIb3Mj00bZIoSizps6OLevHId7tir6PYmz92cH5iYUzTm/yRel+4KRBpaI00+iMN/nCTP9oUiPiCSnMw2lm8T+QPK/6wIhI68mIzTxlUXpxtio1ls9ms1q6eQZDRAT4QCIhIx6vNe71eEQkGg12vyufzdWU2ZIhQKBQKHWVGIhO0tLQcfSG08/v94XDY+Ec3jlwoFAqHFRFpaWnpGODjfD5ftzXZfcLhcDiq2m2WY55Luogxqg6JHXMlgUjMqCQYbJvVwVDI+B4ZCgV7bp5HY5rRbsihG62oqprUXCAQMJbx+Xx21Zmi8/6g0dVINGKsG2uP9JFo1CiJZzN/a2uLM8VnQWtryGglEAi0tNhFJBgMGiWtra0uiYqIpuu6rlvaX/itYSVp0CLhsPHFLhJu60m8Ep/Pp0VT3DU3FA61JwTFWCX+fFtbW1tsKb7KhxW1rd32QQuG2kYgHA4ntdva2mpTw0feCoZoNGp0PhxqqyQUCoXDEaPzTpvVH43/2tL2o4Pa/iU72j7OiRvLqUdERNVUTdPE0j5oofhMsySt4vf7W1r09s63tRtz2jrO8NbWcHsljraRj0SMEYhvvlAoFA7HpH1jdZzhHcUr8fv9LfZYW4mmWzVbZ6t8ZWM51PZ2o0a7Ka/AHIlE2hNv2xYPh8NGu62t/haXbpREYppms3bWbnyVUCiUcoarmm50LMuqiuQFAoGuzPBwOByOxKyWTt+OOr6HR9sHrbW11WONdlyltTXSPvL2bnwnSey8NdUM9/kj7c+302FMmuExtW3QQjYtPjmTXlk9Qdfb2hWHQ9q/+iZJfL4eqyIdZngv85W3BZfWQ620tobaPzuixzCMvXLkvzVOkYE5loE5LhngSvqTruu+cKw1pLSGY/6w6g8r/kgsEGn7RyiqBSKxYFQNRmKhqBrrcIh+kiy7Vdd1U2wsr9frciWPRmcsmRxrL730UlVVFy1a1K9fv8Tyzz///Kc//Wm/fv0WLVrUxaoaGhoy+ZkCfYGiatGYJiJZDpu986T9dYWiqqbrIuJx2jJwH/uRBaNte3i+yQldgUhMRKwWi9tpO7YadF0PRlURsVktLodNRMIxrTWkiEh2ls3j7KmfejVdD3213Y4iMS2maiLiclhtqX6cjsZiLSFVRLIctlyXXUQO+2MN/pCI9Pe68712EdnT6A9FdRGpKHa77CmeTkzTI4oqIg671Wmzikg0pimqJiJZdquRxLYf8KkWi8Rk5KAcEdE0PaR8pfP+qNrYGhGRwpwsr9MmImFFNc4AdDtsKX9d8gUjB3xREclzOQbku0QkqmrKEV8m8UGLb/FwVGuNGBvL4XFaEwfN7bRZu/aiaPRH/ZGYiBR7nZ4se2LnPVl2i4gqsr8hKCIOq6W0wC0iwUjssD8qIt4se6HXKSIRpe3rlMths1ktIrKvOaypmoiUF3kk1Rb/59uC3Wa3WSTVKzpphv9zY9msxhWP/OGYsS1ysmwup93om/GRb7yyOs7wjpqDUUXVRaQg22G3WkUkEI6JRSwWi6eTV9Y/N1b7JPln57NSHXEh0hpSalvCkrDFfeGY8XTy3Dan3R5/vtL520IwqgUiiojkZDlcTqt0mOHx55ti0Dqf4W2Dpku2K3W78Urik/Ofg+Z22FNdfSqmapGYJgkbq1scdYarmhZWNBGxWy1ZnWzxpBmuiwS/OtMiiuoLx0TE7bB5OxmTbmFscYuIp5Mt/s+N1T7ySTO8l1FUPRpTJeFtoSfEYlpTSBERh82S70nx6zAyn6LqYUUNRdVgVI0oaiSmhaKq8UkUiMRimj5mYO5xA8xx3/HeE+Cvueaa5ubmJ598sqKiIrF87dq1Dz30UGVl5YIFC7pYVTAYzORnaogfKeR0Om22Y/wijm+HsbHcbne6O4KjiEQixk5Cl8tlunjf10QiEYvF4nTyRSqjaZoWiURExGazsbEynLF3Nysrq+tHZiItFEUx9gazsTKfoiiqqnY9ayFdwuGwrusWi8UUGysrK8ueagdDShn9u11hYWFzc7Pf708qN0oKCgq6XpXH4+nOnvWMUCgUD/CmmGp9WTgcVhQlOzs73R3BUcTPfc3OzibAZzhFUWw2Gy+rDBeLxYwAb7fb2VgZTlXVcDjscrkcjhRncCBzxA/XZ2NlvkAgoOs6736ZzzgRw2Kx9L6NldE/8uXn54tIY2NjUnlTU5OIFBUVpVgHAAAAAIDeKKMDfHl5uYisW7cuqXz9+vUiMnTo0DT0CQAAAACAdMjoAH/KKaeIyNq1a42j9Qw+n2/jxo1Op3PKlCnp6xoAAAAAAN+qjA7wY8aMGTlyZFNT0xNPPGHcdjsSicyfP19RlMmTJ/e+8xkAAAAAAOhMRl/ETkTmzJlz9913f/DBB5988kl5efmOHTui0WhZWdl1112X7q4BAAAAAPDtyeg98CJSWlr6+OOPn3vuuW63e/v27fn5+Zdccsljjz2Wk2OOe/oBAAAAANAtMn0PvIgUFhbecsst6e4FAAAAAADpZIIA33c4nU7jPtXcAjTzORwOr9eb7l7g6Nxut67rIsJN4DOfx+NhM2U+q9VqvPvZbLZ09wVHYWwstlTmczqdxmZiY2W+rKwsu50AZQLG5dJ65fcKi/HVFgAAAAAAZLJMPwceAAAAAAAIAR4AAAAAAFMgwAMAAAAAYAIEeAAAAAAATIAADwAAAACACRDgAQAAAAAwAQI8AAAAAAAmQIAHAAAAAMAECPAAAAAAAJgAAR4AAAAAABMgwAMAAAAAYAIEeAAAAAAATMCe7g7gSHbt2nXXXXeNHj163rx56e4LYGK7du165ZVXNm7c2NzcXFRUVF5ePmPGjKqqqnT3CzCZcDj8/PPPr1692ufzVVZWjh8/fubMmTabLd39AsyKjyegR/XKMEWAz1zRaPTRRx9VFCXdHQHM7cMPP3z00UdVVRWRfv36NTY2Hjx4cM2aNf/yL/9y5ZVXprt3gGkcPnx43rx5O3fuFJG8vLzNmzdv3rx5/fr1c+fOzcnJSXfvAPPh4wnoUb01TBHgM9dzzz23e/fudPcCMLeWlpZf/vKXqqpOmjTphhtuKCwsVFX1r3/96+9+97sXX3xxzJgxY8eOTXcfAXNYsGDBzp07jz/++Lvuuqu4uLi2tvbhhx/etGnT4sWL77jjjnT3DjAZPp6AntZbwxTnwGeoTz/99G9/+1teXl66OwKY21tvvRWNRquqqubMmVNYWCgiNpvtkksuufjii3Vd/9vf/pbuDgLmsGXLlo0bN3q93nvvvbe4uFhEysrKHnjgAZvN9u6779bX16e7g4DJ8PEE9KheHKYI8JnI5/M9/vjj+fn5HEAFfEPbt28XkalTpyadpnvGGWfE/wrgqFauXCki1dXViUfL9+/fv6qqStf11atXp69rgCnx8QT0nN4dpgjwmeipp55qamq69dZbe+WPRsC3KRaLFRcXDxo0KKnc4XCIiHHmIYCjqqmpEZEJEyYklRslxl8BdB0fT0DP6d1hinPgM86bb765evXqCy64oLq62tjjAeCY3XfffSnLP/roIxGprKz8drsDmFVtba2IGAfPJzJK9u/fn4Y+AWbGxxPQQ3p9mGIPfGapra1dvHjxwIEDr7/++nT3Bei11q9f//LLL4vIpZdemu6+AOYQCAREpOPV5r1er4gEg8E09Anodfh4Ar6hvhCm2AOfQVRVNW51cOedd2ZlZaW7O0AvFIlEXnzxxT//+c+apl111VUnnHBCunsEmINxGx63251U7vF4RCQSiaShT0AvwscT8M31kTBFgM8gL7zwwpdffnnFFVeMGDEi3X0BeqEVK1YsXrz48OHDLpfrhhtuOO+889LdI8A0cnJympubQ6FQUrmx7537wAPfBB9PQLfoI2GKAJ8GV199tc/niz+cNGnSv/3bv9XU1CxZsmTEiBGXX355GvsGmFTKl1X8oc/nW7hw4YoVK0Rk4sSJP/zhD/v165eGXgKmVVhY2Nzc7Pf7k8qNkoKCgnR0CjA9Pp6A7tJ3whQBPg1OPPHExNMFjeuU1NbWapq2bdu2jmc9rV+//vvf/76IPPbYY8OHD/82uwqYRcqXleHQoUP33HNPQ0NDeXn5LbfcMmrUqHR0EDC3/Px8EWlsbEwqb2pqEpGioqI09AkwOT6egG7Ud8IUAT4N7rrrro6Fbre7tLQ0qTAcDjc1NTmdTuO7kXFnEQAdpXxZiUgwGHzwwQcbGhrOOeecm266iRcRcGzKy8s//fTTdevWTZo0KbF8/fr1IjJ06NA09QswKz6egO7Vd8IUAT5TVFdXV1dXJxWuXLly/vz5VVVV8+bNS0uvALN7++239+/fX11dfdttt6W7L4CJnXLKKa+88sratWsjkUj8ykA+n2/jxo1Op3PKlCnp7R5gOnw8Ad2r74QpbiMHoDdbtmyZiFxyySVaJ9LdQcAcxowZM3LkyKampieeeEJVVRGJRCLz589XFGXy5MnZ2dnp7iBgMnw8ATg27IEH0Gupqrpv3z4Rue+++1IuUFpa+pvf/Obb7RRgVnPmzLn77rs/+OCDTz75pLy8fMeOHdFotKys7Lrrrkt31wCT4eMJwDFjDzyAXqu+vp6dGEB3KS0tffzxx88991y32719+/b8/PxLLrnkscce4x5ywNfFxxOAY2bRdT3dfQAAAAAAAEfBHngAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPPcq3ToAAA/ISURBVAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAAAAAMAECPAAAAAAAJkCABwAAAADABAjwAAAAAACYAAEeAAAAAAATIMADAAAAAGACBHgAAAAAAEyAAA8AAAAAgAkQ4AEAMDdN004//fQ777zTeKjr+nPPPffCCy/EF/jDH/5gsVhuvfXWbmmuY/1dd8UVV5x11lldX15V1dGjRz/88MNHXmzChAnz5s07hv6YYui6OAgAgL6AAA8AgLktXLhw06ZN9957r/FQ07Qf/vCHN998cw8119P1J7LZbPPmzZs3b962bds6W2bHjh2fffbZzJkzj6F+UwxdVwYBANBHEOABADCx+vr6e++99/bbby8pKUl3X3rE9OnTR40adcstt3S2wMsvv1xVVVVVVfV1azbR0B11EAAAfQQBHgAAE/v1r3/d2to6e/bsdHekp1gsltmzZ7/11lvr169PucCSJUsuu+yyY6jZREN31EEAAPQRBHgAADLRq6++On369LKysoqKissvv/y1117bvXu3xWK58cYb48soirJw4cJJkyYNGTLEKLnsssvsdruINDc3WyyWnJycxDqbm5tvu+22wYMHu1yuESNGzJkzp6mpKandQ4cO3X777aeddprX662srLz22ms3btwY/+sR6n/zzTcvvvjiUaNGud3uioqKCy644K9//esRnuBzzz1nsVguuuiipPK6ujq73e52u30+n1Eya9Ysh8Px+OOPd6xk7969H3/88YwZMxILly9fftlllw0YMGDUqFE33nhjbW3t3LlzLRbLm2++ad6hO8IgAAD6EB0AAGSY+FnZDocjfoD3xRdfLCKzZ8+OL/bKK6+IyFNPPRUvWbhw4fXXXy8iTqdz9uzZP/nJT3Rdf/7550Vk1qxZo0aNstls48aNGz9+vFHnpEmTVFWNr/7BBx+UlpaKiN1ur6ysdDqdRlUvvPDCEerXdT1+Xne/fv1GjRqVm5trPEzsm67rs2bNmjp1qvHvxsZGh8ORlZXV2tqauMxTTz0lIjNnzkwsPO+881wuVyAQSBqoBQsWHHfccYklv/3tbx0Oh4jk5+cbQ1dWVnb++eeLyBtvvGHeoTvCIAAA+g4CPAAAmeX11183ovvTTz8dDAZ1Xd+wYcPIkSONXJcY4I3st27dusTVY7GYEV/jJUYKFZHRo0fX1NQYhcuXL8/KyhKRjz76yCgJBoMDBw4UkXvuucdoNxKJPPTQQxaLJSsra9u2bZ3V//HHH4uI2+1+/fXXjRJFUZ544gkRGTRoUGLfEgO8ruvnnnuuiLz00kuJy0ycOFFEli5dmlj4H//xH0kJ3HDmmWfOnTs3/nDXrl3GjwIvvPCCka7feeedgoIC4+knrm66oTvCIAAA+g7719tfDwCAOb24omb7wZZvrbl/PXd0cY7r2Na9//77RWT+/PnxfbMnnHDCsmXLKisrjQQY9/bbb2dnZ48ZM6Yr1Voslj/84Q/Dhg0zHk6ZMuX73//+n/70py+++OKUU04RkQULFuzfv//qq6+eP3++sYzT6bz//vv37NmzaNGi//7v//7Nb36Tsub169d7vd4f/OAHxo5uEbHb7bfeeuu8efP27dvX2tqadDh63IwZM5YtW7Z06dL4Sez79u1bsWJFfn7+BRdckLjkaaedJiLvvPPOeeedFy+sra1duXKlEXcNP/vZzxRFeeCBB2bNmmWUnH322Y899th1112X1LQZhy7lIAAA+hQCPACgT9i8t/GjLw99a839YMoISR1aj6Kurm7t2rV5eXk33XRTYnl5efn06dNfeumleElLS8u2bdtOOukkm83WlZqrq6vjh38bBg8eLCLxHwVee+01Eel4k7Nrr7120aJFy5cv76zm2bNnd7wU3MGDB42T2DVN62zFSy655Kabbvr73/8ejUaNY86NvfEzZ840dnHHGUn7o48+Siz885//XFFRMWHChHiJcer4DTfckLjYrFmzbrnllkAgEC8x6dClHAQAQJ9CgAcAIINs375dREaPHu12u5P+NG7cuMQAf/DgQREpLi7uYs0jRoxIKrFav3It2y+//FJEnnnmmd///veJ5X6/X0R27dp15Pp1Xd+8efPnn3++Y8eOrVu3vvXWW5FI5Mir9OvXb+LEie+///4//vEPYxf0H//4RxG58sork5Y0nqbxlONefvnlxNu/h0KhAwcOuN3u8vLyxMVcLldFRcXnn38eLzHp0KUcBABAn0KABwD0CXd+b2xYUb+15krykuN3F+3evVtEysrKOv4pqdAIckVFRV2sOX4qeErRaPTQoUMi8rvf/a6zBWKxmHEd9Y5++ctfzp8/v66uLt7W5MmT/X5/S8tRTluYMWPG+++/v3Tp0vPPP7+mpmbNmjUDBw6cMmVK0mJOp9Pr9SZm10OHDr3//vvxQ9ZFZO/evbqup4zl/fr16xjgTTd0HQcBANDXEOABAH1CgTfr6AtlACN/HjhwoOOf4hnPYBxfbbFYuqVdp9NZVFTU2NgYDoeNo9m77he/+MU999yTm5s7d+7cc845Z+zYscazGDp06FED/PTp0++4445XX3114cKFL774oohcccUVSfu3DTabTVGU+MOlS5eWlZUZp6Ab+vXrJyKHDx/uuG5DQ0PiQ/MOXdIgAAD6Gu4DDwBABqmsrBSRzz//PBwOJ/1pw4YNiQ8HDBggIo2Njd3V9PDhw3Vd37ZtW1J5c3Pze++9l9R6oieffFJElixZ8sgjj5x99tnxfeBJl9xLadCgQSeffHJdXd2qVauMAN/x+HmjqpaWFuM+bYYlS5bMmDEjMYTn5+cXFxeHQqF9+/YlrqsoStJB7CYduo6DAADoawjwAABkkIqKioEDBzY3Nyddt3zfvn1LlixJLDFSaNK+5W/i7LPPFpFHH300qfzBBx+cOnXq0qVLO1uxvr5eRKqrqxMLa2pq9u/f35V2Z8yYISKPPPLIhg0bRo0adeKJJ3ZcxgjbxlMWkYaGhuXLlyeeAG+YOnWqiCxevDix8KWXXmptbU0sMenQJQ0CAKAPIsADAJBB7Ha7cRu5u++++5lnnolGoyLyxRdfnHfeeca/4woKCoYMGbJly5aUl3n3+/3BYPBrNX333XcXFhY+++yzt912W1NTk4ioqvrUU089+eSTHo/nmmuu6az+qqoqEXnmmWfif3377benTZum67qIGFUdgRHgjQu5X3XVVSmX+eKLL0QkfsH5V199taSk5Iwzzkha7Gc/+5nT6Zw/f/7LL79slHz44Ye33367cbX5+O56kw5d0iAAAPogAjwAAJnl+uuvnzlzZjQa/dGPfpSXl1daWjp69OitW7deffXVSUuec845Pp9vy5YtiYU2m62goCAWi02YMOHCCy/serv5+fm///3v8/Pzn3zyyeLi4pEjR5aUlNx6661Wq/W5554bOnRoZ/X/+7//u4jcc889I0eO/M53vlNRUTFt2rShQ4eefPLJInLuuec+//zzR2i3srJy3Lhxxr9THj8vIqtXrzaer/FwyZIl06dP73iq/PDhwxcsWKAoysyZM0tKSsrKyiZNmnTyySdPnjxZRDweT3xJMw5d0iAAAPogAjwAAJnF4XD86U9/+vWvfz1t2rTs7GyPx3PFFVe899573/ve95KWNLLcihUrksoXLlxYUVGxc+fOmpqar9X0d7/73XXr1s2ePXvcuHH79u0rLi6+8sorN27cmHSwelL9F1988bJly6ZOndrQ0PD555+PGTNm0aJFy5Yt+/nPf15dXb13796jHkt/8cUXi8jpp58+bNiwlAusWrXKbrcbV6dvbm5+++23jf32Hd18881vvvnm+eefH4vFLBbLPffc8+qrrxq7snNzc+OLmXHoEgcBANA3WYxjtAAAQIZ78cUXZ82aNXv27PgR16FQaPDgwdXV1W+88UZ6+9ZFV1xxxcGDB999992k8quuuup///d/n3zyyVtuuaXjWq2trf3797/ooouMq9wdQX19fTQaLSkpSbwavKZp/fv3P3z4cGtrq9frNQpNN3RdHwQAQC/GHngAAMzK7XbfeOONb7/9dsrbzpmFz+dbunSp3W6//PLLUy6wZMmSUCh0++23H7Wqn/70p4MGDUo6Yv+NN944fPjwqaeeGk/vYsKh6/ogAAB6MQI8AAAmdvPNNzscjmeffTbdHTkWqqpGo9G5c+eGQqELLrjAuJF7R4sXLz711FM7XrKuo1mzZlkslnvvvff111/3+/2HDh16+eWXr7vuOhGZM2dO0sLmGrquDwIAoBcjwAMAYGKDBw++7777Hn30UZ/Pl+6+fG0XXHBBbm7ur371K7vdft9996Vc5q233lq9evWvfvWrrlQ4bdq0+fPnNzY2XnjhhTk5Of379585c6bf73/66ac77t430dB9rUEAAPRinAMPAIA5fPbZZ0uXLp00adK0adMSyxVFmTBhwqWXXvrQQw+lq29dlHQO/K233vrss88OHTr0kUce6XiJPsPJJ588derU//qv/+p6Kzt27FiyZMn27dtzc3PHjBlz1llnVVRUpFzSLEN3DIMAAOiVCPAAAJheIBAIh8NFRUXp7shRtLS0aJpWUFDQxeU1Tauvry8qKrLb7T3Upcwfum9hEAAAZkGABwAAAADABDgHHgAAAAAAEyDAAwAAAABgAgR4AAAAAABMgAAPAAAAAIAJEOABAAAAADABAjwAAAAAACZAgAcAAAAAwAQI8AAAAAAAmAABHgAAAAAAEyDAAwAAAABgAgR4AAAAAABMgAAPAAAAAIAJEOABAAAAADABAjwAAAAAACZAgAcAAAAAwAQI8AAAAAAAmAABHgAAAAAAEyDAAwAAAABgAgR4AAAAAABMgAAPAAAAAIAJEOABAAAAADABAjwAAAAAACZAgAcAAAAAwAQI8AAAAAAAmAABHgAAAAAAEyDAAwAAAABgAgR4AAAAAABMgAAPAAAAAIAJEOABAAAAADABAjwAAAAAACZAgAcAAAAAwAQI8AAAAAAAmAABHgAAAAAAEyDAAwAAAABgAgR4AAAAAABMgAAPAAAAAIAJEOABAAAAADCB/w9SZFNdekuE1QAAAABJRU5ErkJggg==)
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