(based on R. Baath’s UseR! 2015 tutorial) # Model 1 – Simple
N.draw = 500000 # number of replicates
x = 500 # number of bills marked in the initial capture
y = 300 # number of bills sampled in the second capture
w = 127 # number of marked bills in the sample
upper.limit = 1500 # maximum (theoretical) number of bills
bin.width = 50 # for plotting the posterio
# Defining and drawing from the prior distribution
N.bills = sample (x:1500, N.draw, replace=TRUE) # number of marked bills in each experiment
barplot(table(cut(N.bills, seq(x, upper.limit, bin.width)))/ length(N.bills), col = "gray")
![](data:image/png;base64,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)
# Defining the generative model
pick.bills <- function(N.bills) {
bills <- rep(0:1, c(N.bills - x, x)) # 0 for un-marked, 1 for marked in the inital capture
sum(sample(bills, y)) # sampling y bills in the second capture
}
# Simulating the data
N.marked <- rep(NA, N.draw)
for(i in 1:N.draw) {
N.marked[i] <- pick.bills(N.bills[i])
}
# Filtering out parameter values N.marked that were not equal to w
post.bills <- N.bills[N.marked == w]
# Plotting the posterior distribution
length(post.bills)
[1] 4699
barplot(table(cut(post.bills, seq(x,upper.limit,bin.width))) / length(post.bills), col = "blue")
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)
# Statistics
min(post.bills)
[1] 996
mean(post.bills)
[1] 1194
median(post.bills)
[1] 1191
max(post.bills)
[1] 1450
Model 2 – Marked Bills Are Brittle
N.draw = 500000 # number of replicates
x = 500 # number of bills marked in the initial capture
y = 300 # number of bills sampled in the second capture
w = 127 # number of marked bills in the sample
u = 0.9 # probability that marked bills will be retired
upper.limit = 1500 # maximum (theoretical) number of bills
bin.width = 50 # for plotting the posterio
# Defining and drawing from the prior distribution
N.bills = sample (x:1500, N.draw, replace=TRUE) # number of marked bills in each experiment
barplot(table(cut(N.bills, seq(x, upper.limit, bin.width)))/ length(N.bills), col = "gray")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABVIAAANJCAYAAADugsccAAAEGWlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPrtzZyMkzlNsNIV0qD8NJQ2TVjShtLp/3d02bpZJNtoi6GT27s6Yyc44M7v9oU9FUHwx6psUxL+3gCAo9Q/bPrQvlQol2tQgKD60+INQ6Ium65k7M5lpurHeZe58853vnnvuuWfvBei5qliWkRQBFpquLRcy4nOHj4g9K5CEh6AXBqFXUR0rXalMAjZPC3e1W99Dwntf2dXd/p+tt0YdFSBxH2Kz5qgLiI8B8KdVy3YBevqRHz/qWh72Yui3MUDEL3q44WPXw3M+fo1pZuQs4tOIBVVTaoiXEI/MxfhGDPsxsNZfoE1q66ro5aJim3XdoLFw72H+n23BaIXzbcOnz5mfPoTvYVz7KzUl5+FRxEuqkp9G/Ajia219thzg25abkRE/BpDc3pqvphHvRFys2weqvp+krbWKIX7nhDbzLOItiM8358pTwdirqpPFnMF2xLc1WvLyOwTAibpbmvHHcvttU57y5+XqNZrLe3lE/Pq8eUj2fXKfOe3pfOjzhJYtB/yll5SDFcSDiH+hRkH25+L+sdxKEAMZahrlSX8ukqMOWy/jXW2m6M9LDBc31B9LFuv6gVKg/0Szi3KAr1kGq1GMjU/aLbnq6/lRxc4XfJ98hTargX++DbMJBSiYMIe9Ck1YAxFkKEAG3xbYaKmDDgYyFK0UGYpfoWYXG+fAPPI6tJnNwb7ClP7IyF+D+bjOtCpkhz6CFrIa/I6sFtNl8auFXGMTP34sNwI/JhkgEtmDz14ySfaRcTIBInmKPE32kxyyE2Tv+thKbEVePDfW/byMM1Kmm0XdObS7oGD/MypMXFPXrCwOtoYjyyn7BV29/MZfsVzpLDdRtuIZnbpXzvlf+ev8MvYr/Gqk4H/kV/G3csdazLuyTMPsbFhzd1UabQbjFvDRmcWJxR3zcfHkVw9GfpbJmeev9F08WW8uDkaslwX6avlWGU6NRKz0g/SHtCy9J30o/ca9zX3Kfc19zn3BXQKRO8ud477hLnAfc1/G9mrzGlrfexZ5GLdn6ZZrrEohI2wVHhZywjbhUWEy8icMCGNCUdiBlq3r+xafL549HQ5jH+an+1y+LlYBifuxAvRN/lVVVOlwlCkdVm9NOL5BE4wkQ2SMlDZU97hX86EilU/lUmkQUztTE6mx1EEPh7OmdqBtAvv8HdWpbrJS6tJj3n0CWdM6busNzRV3S9KTYhqvNiqWmuroiKgYhshMjmhTh9ptWhsF7970j/SbMrsPE1suR5z7DMC+P/Hs+y7ijrQAlhyAgccjbhjPygfeBTjzhNqy28EdkUh8C+DU9+z2v/oyeH791OncxHOs5y2AtTc7nb/f73TWPkD/qwBnjX8BoJ98VQNcC+8AAEAASURBVHgB7N0NuFVVnT/wH3gRUIKCCBEhkUKzeBORGlI0hId4kXycirLxZabMwkp5eUaa6l9jMtmImllCM2niXCet6dEEtRnTpBCGXiC5pimFdAnBSV4FLnKFf2sXJ0O4b+ece/aVz36ew9nn7LXXWuezjnj53rXXbrfvj1vYCBAgQIAAAQIECBAgQIAAAQIECBAgQOCQAu0PecQBAgQIECBAgAABAgQIECBAgAABAgQIEMgEBKm+CAQIECBAgAABAgQIECBAgAABAgQIEGhEQJDaCJDDBAgQIECAAAECBAgQIECAAAECBAgQEKT6DhAgQIAAAQIECBAgQIAAAQIECBAgQKARAUFqI0AOEyBAgAABAgQIECBAgAABAgQIECBAQJDqO0CAAAECBAgQIECAAAECBAgQIECAAIFGBASpjQA5TIAAAQIECBAgQIAAAQIECBAgQIAAAUGq7wABAgQIECBAgAABAgQIECBAgAABAgQaERCkNgLkMAECBAgQIECAAAECBAgQIECAAAECBASpvgMECBAgQIAAAQIECBAgQIAAAQIECBBoRECQ2giQwwQIECBAgAABAgQIECBAgAABAgQIEBCk+g4QIECAAAECBAgQIECAAAECBAgQIECgEQFBaiNADhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBRgQEqY0AOUyAAAECBAgQIECAAAECBAgQIECAAAFBqu8AAQIECBAgQIAAAQIECBAgQIAAAQIEGhEQpDYC5DABAgQIECBAgAABAgQIECBAgAABAgQEqb4DBAgQIECAAAECBAgQIECAAAECBAgQaERAkNoIkMMECBAgQIAAAQIECBAgQIAAAQIECBAQpPoOECBAgAABAgQIECBAgAABAgQIECBAoBEBQWojQA4TIECAAAECBAgQIECAAAECBAgQIEBAkOo7QIAAAQIECBAgQIAAAQIECBAgQIAAgUYEBKmNADlMgAABAgQIECBAgAABAgQIECBAgAABQarvAAECBAgQIECAAAECBAgQIECAAAECBBoREKQ2AuQwAQIECBAgQIAAAQIECBAgQIAAAQIEBKm+AwQIECBAgAABAgQIECBAgAABAgQIEGhEQJDaCJDDBAgQIECAAAECBAgQIECAAAECBAgQEKT6DhAgQIAAAQIECBAgQIAAAQIECBAgQKARAUFqI0AOEyBAgAABAgQIECBAgAABAgQIECBAQJDqO0CAAAECBAgQIECAAAECBAgQIECAAIFGBASpjQA5TIAAAQIECBAgQIAAAQIECBAgQIAAAUGq7wABAgQIECBAgAABAgQIECBAgAABAgQaERCkNgLkMAECBAgQIECAAAECBAgQIECAAAECBASpvgMECBAgQIAAAQIECBAgQIAAAQIECBBoRECQ2giQwwQIECBAgAABAgQIECBAgAABAgQIEBCk+g4QIECAAAECBAgQIECAAAECBAgQIECgEQFBaiNADhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBRgQEqY0AOUyAAAECBAgQIECAAAECBAgQIECAAAFBqu8AAQIECBAgQIAAAQIECBAgQIAAAQIEGhEQpDYC5DABAgQIECBAgAABAgQIECBAgAABAgQEqb4DBAgQIECAAAECBAgQIECAAAECBAgQaERAkNoIkMMECBAgQIAAAQIECBAgQIAAAQIECBAQpPoOECBAgAABAgQIECBAgAABAgQIECBAoBEBQWojQA4TIECAAAECBAgQIECAAAECBAgQIEBAkOo7QIAAAQIECBAgQIAAAQIECBAgQIAAgUYEBKmNADlMgAABAgQIECBAgAABAgQIECBAgAABQarvAAECBAgQIECAAAECBAgQIECAAAECBBoREKQ2AuQwAQIECBAgQIAAAQIECBAgQIAAAQIEBKm+AwQIECBAgAABAgQIECBAgAABAgQIEGhEQJDaCJDDBAgQIECAAAECBAgQIECAAAECBAgQEKT6DhAgQIAAAQIECBAgQIAAAQIECBAgQKARAUFqI0AOEyBAgAABAgQIECBAgAABAgQIECBAoApBvgR27NgRjz/+eKxatSqef/75ePOb3xwnnXRSDBw4MI444oh8dVZvCBAgQIAAAQIECBAgQIAAAQIECBwmAoLUMg/0Qw89FI899ljWyiWXXBJHHXXUQVt88cUXY86cOdljz549ryhz4oknxjXXXBNTpkx5xTFvECBAgAABAgQIECBAgAABAgQIECBQXoF2+/64lbeJw7v2j33sYzFv3rwM4dlnn41jjjnmFSBr166NSZMmRU1NzSuOHfjGhAkT4p577omqKhn4gTZeEyBAgAABAgQIECBAgAABAgQIECiXgDSuXLJNrDfl2BdddNFfhajDhg2LIUOGRL9+/SKFrL/61a/ipz/9aVbjfffdF9OnT48bb7yxiS0oRoAAAQIECBAgQIAAAQIECBAgQIBAsQKC1GIFizz/pptuih/96EdZLWm26te//vU499xzX1Hrww8/HNOmTYsnnngivvrVr8bw4cPjwgsvfEU5bxAgQIAAAQIECBAgQIAAAQIECBAgUHqB9qWvUo3NEbj99tuz4u3atYu77rrroCFqKnDWWWdlgev+pQGuu+665jSjLAECBAgQIECAAAECBAgQIECAAAECRQgIUovAK/bUl156KVatWpVV8773vS9OP/30Bqt8wxveEDfccENWJl3uv2vXrgbLO0iAAAECBAgQIECAAAECBAgQIECAQGkEBKmlcWxRLc8880zU1dVl55522mlNqiPNTE1bfX19rFy5sknnKESAAAECBAgQIECAAAECBAgQIECAQHECgtTi/Io6u1evXpEu6U9bmm3alK1nz57RqVOnrGi6EZWNAAECBAgQIECAAAECBAgQIECAAIHyCwhSy298yBa6dOkS/fr1y44vXbr0kOVefuDls1gHDBjw8kP2CRAgQIAAAQIECBAgQIAAAQIECBAok4AgtUywB6v2l7/8ZeFS/v3HP/KRj2S7Dz30UOzbt2//24d8njt3buHYiSeeWNi3Q4AAAQIECBAgQIAAAQIECBAgQIBA+QSqyle1mg8UGD9+fFRVVcVb3/rWGD58eJx66qnx9re/Pbp27RpPPvlkzJw5M14elL78/BSyXn/99XHzzTdnb6e1UtN5NgIECBAgQIAAAQIECBAgQIAAAQIEyi/Q7o8BXePTIMvfj1dtCx//+McL4WdTPuRtt90WF1xwQaHo888/HzfddFPcc889sWLFiuz9I444In7xi1/E4MGDC+XsECBAgAABAgQIECBAgAABAgQIECBQPgEzUstnm9WcQtBPfvKTWQi6cuXK2P947rnnDtrynj17/ur9devWxec///nCe+nmVF/84heFqAUROwQIECBAgAABAgQIECBAgAABAgTKL2BGavmND9rC+vXrC6FqClfTbNPf/OY38eCDD8a73vWuwjnPPvtsHHvssdnrHj16xIIFC2LChAmF43YIECBAgAABAgQIECBAgAABAgQIECi/gCC1/MZNbmH79u1x5JFHRseOHQvn1NfXxz/90z/F2LFj453vfGd06tSpcMwOAQIECBAgQIAAAQIECBAgQIAAAQKtIyBIbR1nrRAgQIAAAQIECBAgQIAAAQIECBAg0IYF2rfhvus6AQIECBAgQIAAAQIECBAgQIAAAQIEWkXAzaZahfnQjaS1Ujdt2hQ7d+7MHunS/W7dukXXrl0jrYnqUv5D2zlCgAABAgQIECBAgAABAgQIECBAoLUEBKmtJf3ndtI6qOmGUdXV1VFTUxPp9aG2qqqqGDRoUIwcOTImTZqU3WSqXbt2hyrufQIECBAgQIAAAQIECBAgQIAAAQIEyiRgjdQywR5Y7caNG+Of//mf4/bbb28wPD3wvJe/ftvb3hZf+tKXYuLEiS9/2z4BAgQIECBAgAABAgQIECBAgAABAmUWEKSWGThVv3nz5hg9enSsWrWq0FqaWdq7d+/o169f9OzZMzp37hwdO3aM+vr6qKuri23btkVtbW2sXbs2du/eXTivffv2MXfu3Lj88ssL79khQIAAAQIECBAgQIAAAQIECBAgQKC8AoLU8vrGjh07YuzYsbF06dKspREjRsT06dNjzJgxWYDaWPN79uyJ5cuXZ8sB3HrrrZFep23RokXZpf6Nne84AQIECBAgQIAAAQIECBAgQIAAAQLFCwhSizdssIYUfv793/99Vmbq1KnZ2qhpVmlLtvvuuy/e8573ZGFqWjt15cqV0dK6WtK+cwgQIECAAAECBAgQIECAAAECBAgcrgKC1DKP/Ec+8pH493//9xg8eHD87Gc/iw4dOhTV4o033hif+tSnsjpWr14dAwYMKKo+JxMgQIAAAQIECBDYL/DSSy9lS0vt27dv/1u5fz722GOzZbJy31EdJECAAAECBNq8QFWb/wQ5/wBLlizJejh58uSiQ9RU0XnnnVcIUp966ilBas7HX/cIECBAgAABAm1JIE0CSFdUtaXt5JNPjscff7wtdVlfCRAgQIAAgTYqIEgt88CtW7cua6Fv374laalHjx5ZIJvWSt21a1dJ6lQJgbYosHPnzli/fn2b6XpahuONb3xjHHHEEW2mzzpKgAABAoefwG9+85vsQ3fv3j2OPPLIXAOkWbMbN26M/X3OdWd1jgABAgQIEHhVCAhSyzyM6dL7tJZputnURz/60aJbe/TRRws3nBo2bFjR9ang4AIXX3xxLFy48OAHc/huu3btYtq0afH//t//O2jvtmzZEjfddFPU1dUd9Hge3+zZs2d84hOfOOQ6wEOGDIm0vEVb2tLfAfPmzWtLXS6qr3v37s1uuFdUJa14cgq5jzrqqFZsUVMEDj+B9HNMWvIoXT7eVrZTTz01+/9RQ/1Nf9+1lS39zJAejW0zZsyIt771rY0Vq+jxF198Md73vvc12Ic08eAzn/lM/OEPf2iwXJ4Opv8XpZ/pjjnmmDx1S18IEMi5wObNm2P37t057+VfutelS5dIDxuBtiYgSC3ziA0fPjwLUu+8885I4dzo0aNb3GIKw9IPtWlLswT69+/f4rqc2LDAPffcE+l/RG1pW7Ro0SGD1G9961vx2c9+ti19nKyv6b+fd77znQft9/7ZJ23hHxnpB5r0fdrf54N9oDR+559/fqR/FLaVrU+fPrF8+fJ43ete94oup1DhpJNOiqeffvoVx/L8xlVXXZX9gzvPfdS3w0sgzb7funVrm/nQaQZjunrmUNu//uu/xt13332ow7l8f8GCBfGxj30sqqpe+WNzmg2ZfrGXntvKlsboe9/7XkycOLGtdLmofv7kJz+J6667rqg6KnFyCrEvu+yySjStTQIE2qDA97///ZgyZUqb6nnHjh2zZVnc96VNDZvO/lHglT8RYimpwOzZsyP9AJ5mAqa/2K655posUG3upVJpVusll1yShbKpg5deemlJ+9lQZf/1X/8V3/zmN6MUsy22bdsWv/vd7+Lb3/72IQOyhvrSWsf232Dh5ptvjqOPPrq1mm1RO7/97W/j85//fIPn7g/n0hpibWEm84MPPpj9o7Qpv1H9+te/fshZqw2itOLBX/7yl4cMufd3I83SakthSep3mhGcwuE0W+vAbceOHYUQtVOnTgcezt3r9Pdb+u8k/V1rI5AXgU2bNsUJJ5zQ5v5u+MY3vhFpnc2Dbftnoqa149Nny/v21a9+Nfv5J/X7YEFq+jtwf4jalFmelf686eeb9HddugHq4RKk1tfXZ+xpeZ33vOc9lR6CRtt/5JFHsv8X7e93oycoQIAAgT8KPPnkk5lDCic7d+6ce5MXXnghmz37zDPPuO9L7kdLBw8UEKQeKFLi1+m3K3PmzIlZs2Zl/xBKAWjaTzNThw4dms0q7dWrV/aXXQob0g9NKXRNgWNtbW0WVCxevDhqamoKPRs3blykWVOttf3nf/5n3H///SVtLv0j61AzDUvaUAsr2/+Pode85jW5v9ygOUHviSeeGO9973tbqNJ6p61atarwD9PWazUfLU2dOjXOPffcfHSmgV6kXxKlEL+xLf29ln5xkvctBdlf/vKX895N/TvMBJ599tnsZ4e0xnLXrl1z/+nTzy/p8cQTTzTa10GDBsVpp53WaLlKF/ja177WpF8kpxn4X/rSlyrd3UbbTz/TpaukDsctzZQ+66yzcv/R0/9bD8df6j3//PNtajmgtPzC61//+kN+nz784Q/HHXfcEfsnZxyyYE4OpH/7XHTRRZEmKBxsS7/sT1cUpPCrrWzpiql//Md/jLbwC/1Smk6YMCEuvPDCUlZZlro+97nPxWOPPVaWulVKoNwCgtRyC/+x/pkzZ2aXuaU1LNM6Tdu3b8/W32zJGpzjx4+P6urqVp2Bl9YyS7NhS/GDQFofMl3S1xZmRbbCV0MTBF4hkNbpTL9Jzvu2/5cNee9nqfuXfmvelmYJpX/kvfa1ry01g/paWSAto5FmRuZ9S5cV3nLLLXnvpv4RaPMCaYb073//+5L8bN4aGOlnht69e2c3zD1Ye2mZoHe84x1N+qXFwc6vxHvpM/3oRz+KM84446DN//CHP2xzNwZOfT7Ulq5QvPrqqw91OLfvn3LKKZGugLC1TYG0rGFanqWtbOkX3+keHx/84AfbSpf1s4UCgtQWwjX3tLQ+6qRJk+KGG27I/pGxYcOGJleRQpUUoKbfbKY6WntL/whPs2BLsT3wwANZNYdrCFMKQ3UQIFAZgbTG3v51qivTg+a3mmbVp+VUhKnNt3MGAQIE8iqQrl757ne/m9fuHbRf6Uq0H//4xwc9lmbhpiV20tJnbWH2fZoUk5afSkt7HCpI3f9B06z2hmau7i9Xyed09cPll1/eYBf27NmTHU+z70eNGtVg2TwcTMuErV27tnCT5jz0SR+aL/CVr3ylTd2cMn3C9LO3ILX5Y93WzhCktuKIpbuQp9/kpUea1bRs2bJsDcF0GX+6XCL9T7lDhw7ZpeTph4i0LEBa0zLdxMDd7FpxoDRFgACBgwjsX8og/f2cLunL+/Z///d/2f9X0vPBgtR0lUH6h9Ovf/3rvH+UQv/SGpVpWYm28I+4QqftECBAoMQC+2/kmC5dPtjavSVurqjqUkCaLtvf3+eGKkvLfaQr+fK+3XjjjfHQQw81qZtpfPJ+pVH692dTt7TWcFuY4fn4449nQWpTP5dy+RTYf4+WtrD8Vvo77t/+7d/azJUC+RzxttMrQWqFxur444+P9LARIECAQNsSSDOB0vpTed/SXcbTLJNDbelY+sdgW9vS5aGC1LY2avpLgEA5BNIag/379y9H1SWrc8uWLdnamyWrUEUECBx2Am9605tadWnDlgCnJRxth4+AIPXwGWuflAABAgQIFAT2/5Y/XYJ0xRVXFN7P686KFSvi3nvvbVNr6OXVUr8IECBAgAABAgQIEGiZgCC1ZW7OIkCAAAECrwqBtCZduhlD3rdNmzblvYv6R4AAAQIECBAgQIDAq1xAkNqGBjgt8r1x48ZCj4877rjCvh0CBAgQIHC4C6Qbf9x2221RX1/fZije+ta3xvnnn99m+qujBAgQIEDg1SCQ1r5fuXJlm/ko6WbNf/M3fxO9evVqM33WUQKvVgFBahsa2cceeyxOPfXUQo/TjUJsBAgQIECAwJ8E5syZE7fcckub45g4ceJBbwjW5j6IDhMgQIAAgTYicPbZZ8eaNWvaSG//1M2xY8fGf//3f7epPussgVejgCD11TiqPhMBAgQIEDgMBV588cXsU6cZGyeccELuBb7zne/E7t27Y3+/c99hHSRAgAABAq8Sgc2bN2efZMSIEXHEEUfk+lO98MILUVNTE+nmbTYCBCovIEit/BjoAQECBAgQIFBCgdNOOy3OPPPMEtZYnqrSzbNSkGojQIAAAQIEWlcgXSqftk996lPRpUuX1m28ma09/fTTMWvWrGaepTgBAuUSEKSWS7YM9Q4ZMiQ2bNhQhppVSYAAAQIECBAgQIAAAQIECBAgQIBAQwKC1IZ0cnasqqrK4tI5GxPdIUCAAAECBAgQIECAAAECBAgQODwE2h8eH9OnJECAAAECBAgQIECAAAECBAgQIECAQMsFBKktt3MmAQIECBAgQIAAAQIECBAgQIAAAQKHiYBL+ys80OvXr49NmzbFzp07s0enTp2iW7du0bVr1+jRo0ek1zYCBAgQIECAAAECBAgQIECAAAECBCorIEhtZf/t27fHggULorq6OmpqaiK9PtSW1kQdNGhQjBw5MiZNmhQTJkyI/XcXPNQ53idAgAABAgQIECBAgAABAgQIECBAoPQCLu0vvelBa9y4cWNMmzYt+vTpE5dddlksXbq0wRA1VVJfXx8rVqyIefPmZUHq4MGDY9GiRQet35sECBAgQIAAAQIECBAgQIAAAQIECJRPwIzU8tkWat68eXOMHTs2Vq1aVXgvzSzt3bt39OvXL3r27BmdO3eOjh07ZuFpXV1dbNu2LWpra2Pt2rWxe/fu7Lw0g/Wcc86JuXPnxuWXX16oyw4BAgQIECBAgAABAgQIECBAgAABAuUVEKSW1zd27NgREydOLISoI0aMiOnTp8eYMWOyALWx5vfs2RPLly/PlgO49dZbI72+4oorYuDAgdml/o2d7zgBAgQIECBAgAABAgQIECBAgAABAsULuLS/eMMGa7jrrruyy/hToalTp8ayZcuy5zQLtSlbhw4dYtSoUTF//vy4++67I71O25VXXhl79+5tShXKECBAgAABAgQIECBAgAABAgQIECBQpIAgtUjAxk5/9NFHsyJpfdN0k6n27VtOnm42de2112b1pWUC1qxZ01jzjhMgQIAAAQIECBAgQIAAAQIECBAgUAKBlqd6JWj8cKhiyZIl2cecPHlyYTZpMZ/7vPPOK5z+1FNPFfbtECBAgAABAgQIECBAgAABAgQIECBQPgFBavlss5rXrVuXPfft27ckLfXo0aMQyO7ataskdaqEAAECBAgQIECAAAECBAgQIECAAIGGBQSpDfsUfXTAgAFZHUuXLi26rlRBWiog3XAqbcOGDcue/UGAAAECBAgQIECAAAECBAgQIECAQHkFBKnl9Y3hw4dnLdx5553xyCOPFNXali1bYsaMGVkd3bt3j/79+xdVn5MJECBAgAABAgQIECBAgAABAgQIEGiagCC1aU4tLjV79uzsUvy6urqYMmVKzJ8/P1588cVm17dy5coYN25cpOe0XXrppc2uwwkECBAgQIAAAQIECBAgQIAAAQIECLRMoKplpzmrqQLp0v45c+bErFmzYuvWrVkAmvZHjx4dQ4cOzWaV9urVKzp37hydOnWK+vr6SKHrtm3bora2NlavXh2LFy+OmpqaQpMpUL3qqqsKr+0QIECAAAECBAgQIECAAAECBAgQIFBeAUFqeX2z2mfOnBnpJlHTpk2LdIOo7du3x8KFC7NHc5sfP358VFdXR/v2JhM31055AgQIECBAgAABAgQIECBAgAABAi0VkMa1VK6Z51188cWxdu3a+PSnPx3HHHNMs87u2LFjtizAvffeG/fff3+k9VFtBAgQIECAAAECBAgQIECAAAECBAi0noAZqa1nHT179oyrr746ezzzzDOxbNmyePrpp7PL+NNl/2mmaocOHaJLly7RtWvXSMsCnHzyyTFkyJDsvVbsqqYIECBAgAABAgQIECBAgAABAgQIEHiZgCD1ZRituXv88cdHetgIECBAgAABAgQIECBAgAABAgQIEMi/gEv78z9GekiAAAECBAgQIECAAAECBAgQIECAQIUFBKkVHgDNEyBAgAABAgQIECBAgAABAgQIECCQfwFBav7HSA8JECBAgAABAgQIECBAgAABAgQIEKiwgCC1wgOgeQIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM3/GOkhAQIECBAgQIAAAQIECBAgQIAAAQIVFhCkVngANE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn5HyM9JECAAAECBAgQIECAAAECBAgQIECgwgKC1AoPgOYJECBAgAABAgQIECBAgAABAgQIEMi/gCA1/2OkhwQIECBAgAABAgQIECBAgAABAgQIVFhAkFrhAdA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5n+M9JAAAQIECBAgQIAAAQIECBAgQIAAgQoLCFIrPACaJ0CAAAECBAgQIECAAAECBAgQIEAg/wKC1PyPkR4SIECAAAECBAgQIECAAAECBAgQIFBhAUFqhQdA8wQIECBAgAABAgQIECBAgAABAgQI5F9AkJr/MdJDAgQIECBAgAABAgQIECBAgAABAgQqLCBIrfAAaJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLzP0Z6SIAAAQIECBAgQIAAAQIECBAgQIBAhQUEqRUeAM0TIECAAAECBAgQIECAAAECBAgQIJB/AUFq/sdIDwkQIECAAAECBAgQIECAAAECBAgQqLCAILXCA6B5AgQIECBAgAABAgQIECBAgAABAgTyLyBIzf8Y6SEBAgQIECBAgAABAgQIECBAgAABAhUWEKRWeAA0T4AAAQIECBAgQIAAAQIECBAgQIBA/gUEqfkfIz0kQIAAAQIECBAgQIAAAQIECBAgQKDCAoLUCg+A5gkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/Y6SHBAgQIECAAAECBAgQIECAAAECBAhUWECQWuEB0DwBAgQIECBAgAABAgQIECBAgAABAvkXEKTmf4z0kAABAgQIECBAgAABAgQIECBAgACBCgsIUis8AJonQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/I+RHhIgQIAAAQIECBAgQIAAAQIECBAgUGEBQWqFB0DzBAgQIECAAAECBAgQIECAAAECBAjkX0CQmv8x0kMCBAgQIECAAAECBAgQIECAAAECBCosIEit8ABongABAgQIECBAgAABAgQIECBAgACB/AsIUvM/RnpIgAABAgQIECBAgAABAgQIECBAgECFBQSpFR4AzRMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+x0gPCRAgQIAAAQIECBAgQIAAAQIECBCosIAgtcIDoHkCBAgQIECAAAECBAgQIECAAAECBPIvIEjN/xjpIQECBAgQIECAAAECBAgQIECAAAECFRYQpFZ4ADRPgAABAgQIECBAgAABAgQIECBAgED+BQSp+R8jPSRAgAABAgQIECBAgAABAgQIECBAoMICgtQKD4DmCRAgQIAAAQIECBAgQIAAAQIECBDIv4AgNf9jpIcECBAgQIAAAQIECBAgQIAAAQIECFRYQJBa4QHQPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOZ/jPSQAAECBAgQIECAAAECBAgQIECAAIEKCwhSKzwAmidAgAABAgQIECBAgAABAgQIECBAIP8CgtT8j5EeEiBAgAABAgQIECBAgAABAgQIECBQYQFBaoUHQPMECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/zHSQwIECBAgQIAAAQIECBAgQIAAAQIEKiwgSK3wAGieAAECBAgQIECAAAECBAgQIECAAIH8CwhS8z9GekiAAAECBAgQIECAAAECBAgQIECAQIUFqircvuYPIfDSSy/Fj3/84+zoG9/4xujfv/8hSnqbAAECBAgQIECAAAECBAgQIECAAIFyC5iRWm7hFtb/wgsvxFlnnZU9vvnNb7awFqcRIECAAAECBAgQIECAAAECBAgQIFAKAUFqKRTVQYAAAQIECBAgQIAAAQIECBAgQIDAq1rApf1lHt7Vq1dHfX19s1vZvn174Zznn38+nnzyycLr/TsnnXTS/l3PBAgQIECAAAECBAgQIECAAAECBAiUUUCQWkbcVPXpp58eGzZsKKqVefPmRXocuO3bt+/At7wmQIAAAQIECBAgQIAAAQIECBAgQKAMAi7tLwOqKgkQIECAAAECBAgQIECAAAECBAgQeHUJmJFa5vH87Gc/GzNmzIi6urqspde85jUxYcKEaNeuXYMtv/jii/G9730vK3PyySfH4MGDGyzvIAECBAgQIECAAAECBAgQIECAAAEC5RMQpJbPNqv54x//eJx55plx/vnnx8qVKyOtfbply5a45ZZb4thjjz1k61u3bi0Eqeeee2588YtfPGRZBwgQIECAAAECBAgQIECAAAECBAgQKK+AS/vL65vVnmaU/u///m/MmjUr2rdvHz/4wQ9i0KBBcdddd7VC65ogQIAAAQIECBAgQIAAAQIECBAgQKBYAUFqsYJNPP/II4+ML3/5y/HDH/4w+vbtG5s2bYr3v//98aEPfSjS7FMbAQIECBAgQIAAAQIECBAgQIAAAQL5FRCktvLYpMv8H3vssfjABz6QtVxdXZ3NTn3ooYdauSeaI0CAAAECBAgQIECAAAECBAgQIECgqQKC1KZKlbDca1/72rjjjjviP/7jP6Jbt25RW1sbZ599dkyfPr1wU6oSNqcqAgQIECBAgAABAgQIECBAgAABAgSKFBCkFglYzOnpBlRpduoZZ5wR+/bti+uvvz5OPfXUWLFiRTHVOpcAAQIECBAgQIAAAQIECBAgQIAAgRILCFJLDNrc6vr16xcPP/xw/Mu//Et06NAhHn/88Rg5cmR86Utfam5VyhMgQIAAAQIECBAgQIAAAQIECBAgUCYBQWqZYJtTbfv27ePKK6+MZcuWxUknnRR79uwRpDYHUFkCBAgQIECAAAECBAgQIECAAAECZRYQpJYZuDnVn3LKKfGLX/wipk2b1pzTlCVAgAABAgQIECBAgAABAgQIECBAoMwCVWWuX/XNFOjcuXPcdNNNMXHixLjnnnuys0877bRm1qI4AQIECBAgQIAAAQIECBAgQIAAAQKlFBCkllKzhHW9+93vjvSwESBAgAABAgQIECBAgAABAgQIECBQeQFBaoXHYP369bFp06bYuXNn9ujUqVN069YtunbtGj169Ij02kaAAAECBAgQIECAAAECBAgQIECAQGUFBKmt7L99+/ZYsGBBVFdXR01NTaTXh9qqqqpi0KBBMXLkyJg0aVJMmDAh2rVrd6ji3idAgAABAgQIECBAgAABAgQIECBAoEwCbjZVJtgDq924cWN2E6k+ffrEZZddFkuXLm0wRE3n19fXx4oVK2LevHlZkDp48OBYtGjRgVV7TYAAAQIECBAgQIAAAQIECBAgQIBAmQXMSC0zcKp+8+bNMXbs2Fi1alWhtTSztHfv3tGvX7/o2bNnpJtMdezYMQtP6+rqYtu2bVFbWxtr166N3bt3Z+elGaznnHNOzJ07Ny6//PJCXXYIECBAgAABAgQIECBAgAABAgQIECivgCC1vL6xY8eOmDhxYiFEHTFiREyfPj3GjBmTBaiNNb9nz55Yvnx5thzArbfeGun1FVdcEQMHDswu9W/sfMcJECBAgAABAgQIECBAgAABAgQIEChewKX9xRs2WMNdd92VXcafCk2dOjWWLVuWPadZqE3ZOnToEKNGjYr58+fH3XffHel12q688srYu3dvU6pQhgABAgQIECBAgAABAgQIECBAgACBIgUEqUUCNnb6o48+mhVJ65umm0y1b99y8nSzqWuvvTarLy0TsGbNmsaad5wAAQIECBAgQIAAAQIECBAgQIAAgRIItDzVK0Hjh0MVS5YsyT7m5MmTC7NJi/nc5513XuH0p556qrBvhwABAgQIECBAgAABAgQIECBAgACB8gkIUstnm9W8bt267Llv374laalHjx6FQHbXrl0lqVMlBAgQIECAAAECBAgQIECAAAECBAg0LCBIbdin6KMDBgzI6li6dGnRdaUK0lIB6YZTaRs2bFj27A8CBAgQIECAAAECBAgQIECAAAECBMorIEgtr28MHz48a+HOO++MRx55pKjWtmzZEjNmzMjq6N69e/Tv37+o+pxMgAABAgQIECBAgAABAgQIECBAgEDTBKqaVkyplgrMnj07u8lUXV1dTJkyJa655pq4+OKL48gjj2xWlStXroxLLrkk0nPaLr300madX0zh+++/P2677bbYt29fMdVk565YsSJ7TqGwjQABAgQIECBAgAABAgQIECBAgEBbERCklnmk0qX9c+bMiVmzZsXWrVuzADTtjx49OoYOHZrNKu3Vq1d07tw5OnXqFPX19ZFC123btkVtbW2sXr06Fi9eHDU1NYWejhs3Lq666qrC63LvfOMb34i77767pM08/fTTJa1PZQQIECBAgAABAgQIECBAgAABAgTKKSBILafun+ueOXNmpJtETZs2LdINorZv3x4LFy7MHs1tfvz48VFdXR3t27feqgzz5s2L888/P/bu3dvc7r6ifJrZet999xWWPHhFAW8QIECAAAECBAgQIECAAAECBAgQyKGAILWVBiVdzj9p0qS44YYb4pZbbokNGzY0ueWOHTtGClA//OEPZ3U0+cQSFUwzZv/2b/+2JLWlm26lILU1g+CSdFwlBAgQIECAAAECBAgQIECAAAECh7WAILUVh79nz55x9dVXZ49nnnkmli1bFukS93QZf7rsP81U7dChQ3Tp0iW6du0aaVmAk08+OYYMGZK914pd1RQBAgQIECBAgAABAgQIECBAgAABAi8TEKS+DKM1d48//vhIDxsBAgQIECBAgAABAgQIECBAgAABAvkXaL2FNvNvoYcECBAgQIAAAQIECBAgQIAAAQIECBA4qIAg9aAs3iRAgAABAgQIECBAgAABAgQIECBAgMBfBFza/xeL3O/t2bMnNm7cWOjncccdV9i3Q4AAAQIECBAgQIAAAQIECBAgQIBA+QQEqeWzLXnNjz32WJx66qmFevft21fYt0OAAAECBAgQIECAAAECBAgQIECAQPkEXNpfPls1EyBAgAABAgQIECBAgAABAgQIECDwKhEQpL5KBtLHIECAAAECBAgQIECAAAECBAgQIECgfAIu7S+fbclrHjJkSGzYsKHk9aqQAAECBAgQIECAAAECBAgQIECAAIGGBQSpDfvk6mhVVVX06tUrV33SGQIECBAgQIAAAQIECBAgQIAAAQKHg4BL+w+HUfYZCRAgQIAAAQIECBAgQIAAAQIECBAoSkCQWhSfkwkQIECAAAECBAgQIECAAAECBAgQOBwEXNpf4VFev359bNq0KXbu3Jk9OnXqFN26dYuuXbtGjx49Ir22ESBAgAABAgQIECBAgAABAgQIECBQWQFBaiv7b9++PRYsWBDV1dVRU1MT6fWhtrQm6qBBg2LkyJExadKkmDBhQrRr1+5Qxb1PgAABAgQIECBAgAABAgQIECBAgECZBFzaXybYA6vduHFjTJs2Lfr06ROXXXZZLF26tMEQNZ1fX18fK1asiHnz5mVB6uDBg2PRokUHVu01AQIECBAgQIAAAQIECBAgQIAAAQJlFjAjtczAqfrNmzfH2LFjY9WqVYXW0szS3r17R79+/aJnz57RuXPn6NixYxae1tXVxbZt26K2tjbWrl0bu3fvzs5LM1jPOeecmDt3blx++eWFuuwQIECAAAECBAgQIECAAAECBAgQIFBeAUFqeX1jx44dMXHixEKIOmLEiJg+fXqMGTMmC1Aba37Pnj2xfPnybDmAW2+9NdLrK664IgYOHJhd6t/Y+Y4TIECAAAECBAgQIECAAAECBAgQIFC8gEv7izdssIa77roru4w/FZo6dWosW7Yse06zUJuydejQIUaNGhXz58+Pu+++O9LrtF155ZWxd+/eplShDAECBAgQIECAAAECBAgQIECAAAECRQoIUosEbOz0Rx99NCuS1jdNN5lq377l5OlmU9dee21WX1omYM2aNY017zgBAgQIECBAgAABAgQIECBAgAABAiUQaHmqV4LGD4cqlixZkn3MyZMnF2aTFvO5zzvvvMLpTz31VGHfDgECBAgQIECAAAECBAgQIECAAAEC5RMQpJbPNqt53bp12XPfvn1L0lKPHj0KgeyuXbtKUqdKCBAgQIAAAQIECBAgQIAAAQIECBBoWECQ2rBP0UcHDBiQ1bF06dKi60oVpKUC0g2n0jZs2LDs2R8ECBAgQIAAAQIECBAgQIAAAQIECJRXQJBaXt8YPnx41sKdd94ZjzzySFGtbdmyJWbMmJHV0b179+jfv39R9TmZAAECBAgQIECAAAECBAgQIECAAIGmCQhSm+bU4lKzZ8/OLsWvq6uLKVOmxPz58+PFF19sdn0rV66McePGRXpO26WXXtrsOpxAgAABAgQIECBAgAABAgQIECBAgEDLBKpadpqzmiqQLu2fM2dOzJo1K7Zu3ZoFoGl/9OjRMXTo0GxWaa9evaJz587RqVOnqK+vjxS6btu2LWpra2P16tWxePHiqKmpKTSZAtWrrrqq8NoOAQIECBAgQIAAAQIECBAgQIAAAQLlFRCkltc3q33mzJmRbhI1bdq0SDeI2r59eyxcuDB7NLf58ePHR3V1dbRvbzJxc+2UJ0CAAAECBAgQIECAAAECBAgQINBSAWlcS+Waed7FF18ca9eujU9/+tNxzDHHNOvsjh07ZssC3HvvvXH//fdHWh/VRoAAAQIECBAgQIAAAQIECBAgQIBA6wmYkdp61tGzZ8+4+uqrs8czzzwTy5Yti6effjq7jD9d9p9mqnbo0CG6dOkSXbt2jbQswMknnxxDhgzJ3mvFrmqKAAECBAgQIECAAAECBAgQIECAAIGXCQhSX4bRmrvHH398pIeNAAECBAgQIECAAAECBAgQIECAAIH8C7i0P/9jpIcECBAgQIAAAQIECBAgQIAAAQIECFRYQJBa4QHQPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOZ/jPSQAAECBAgQIECAAAECBAgQIECAAIEKCwhSKzwAmidAgAABAgQIECBAgAABAgQIECBAIP8CgtT8j5EeEiBAgAABAgQIECBAgAABAgQIECBQYQFBaoUHQPMECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/zHSQwIECBAgQIAAAQIECBAgQIAAAQIEKiwgSK3wAGieAAECBAgQIECAAAECBAgQIECAAIH8CwhS8z9GekiAAAECBAgQIECAAAECBAgQIECAQIUFBKkVHgDNEyBAgAABAgQIECBAgAABAgQIECCQfwFBav7HSA8JECBAgAABAgQIECBAgAABAgQIEKiwgCC1wgOgeQIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM3/GOkhAQIECBAgQIAAAQIECBAgQIAAAQIVFhCkVngANE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn5HyM9JECAAAECBAgQIECAAAECBAgQIECgwgKC1AoPgOYJECBAgAABAgQIECBAgAABAgQIEMi/gCA1/2OkhwQIECBAgAABAgQIECBAgAABAgQIVFhAkFrhAdA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5n+M9JAAAQIECBAgQIAAAQIECBAgQIAAgQoLCFIrPACaJ0CAAAECBAgQIECAAAECBAgQIEAg/wKC1PyPkR4SIECAAAECBAgQIECAAAECBAgQIFBhAUFqhQdA8wQIECBAgAABAgQIECBAgAABAgQI5F9AkJr/MdJDAgQIECBAgAABAgQIECBAgAABAgQqLCBIrfAAaJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLzP0Z6SIAAAQIECBAgQIAAAQIECBAgQIBAhQUEqRUeAM0TIECAAAECBAgQIECAAAECBAgQIJB/AUFq/sdIDwkQIECAAAECBAgQIECAAAECBAgQqLCAILXCA6B5AgQIECBAgAABAgQIECBAgAABAgTyLyBIzf8Y6SEBAgQIECBAgAABAgQIECBAgAABAhUWEKRWeAA0T4AAAQIECBAgQIAAAQIECBAgQIBA/gUEqfkfIz0kQIAAAQIECBAgQIAAAQIECBAgQKDCAoLUCg+A5gkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/Y6SHBAgQIECAAAECBAgQIECAAAECBAhUWECQWuEB0DwBAgQIECBAgAABAgQIECBAgAABAvkXEKTmf4z0kAABAgQIECBAgAABAgQIECBAgACBCgsIUis8AJonQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/I+RHhIgQIAAAQIECBAgQIAAAQIECBAgUGEBQWqFB0DzBAgQIECAAAECBAgQIECAAAECBAjkX0CQmv8x0kMCBAgQIECAAAECBAgQIECAAAECBCosIEit8ABongABAgQIECBAgAABAgQIECBAgACB/AsIUvM/RnpIgAABAgQIECBAgAABAgQIECBAgECFBQSpFR4AzRMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+x0gPCRAgQIAAAQIECBAgQIAAAQIECBCosIAgtcIDoHkCBAgQIECAAAECBAgQIECAAAECBPIvIEjN/xjpIQECBAgQIECAAAECBAgQIECAAAECFRYQpFZ4ADRPgAABAgQIECBAgAABAgQIECBAgED+BQSp+R8jPSRAgAABAgQIECBAgAABAgQIECBAoMICgtQKD4DmCRAgQIAAAQIECBAgQIAAAQIECBDIv4AgNf9jpIcECBAgQIAAAQIECBAgQIAAAQIECFRYQJBa4QHQPAECBAgQIECAAAECBAgQIECAAAEC+Reoyn8XD88ePvvss7F69erYsWNHDB06NI455pjDE8KnJkCAAAECBAgQIECAAAECBAgQIJADATNSW3kQdu/eHb/+9a9j06ZNB2151apVMWnSpDj22GPjjDPOiHe/+93Ru3fv6NOnT1x33XWxb9++g57nTQIECBAgQIAAAQIECBAgQIAAAQIEyicgSC2f7V/VvHnz5vjoRz8ar3vd6+Kkk06KN7zhDXH66afHzTffXCiXQtQUni5atKjw3v6d9evXx4wZM2LcuHGxYcOG/W97JkCAAAECBAgQIECAAAECBAgQIECgFQRc2t8KyLt27YrJkyfHkiVLCq299NJL8ZOf/CR7pDc/9rGPxQc/+MHYsmVLVuaoo46KQYMGRa9eveLxxx+P3/72t9ls1AcffDD+7u/+Lv7nf/6nUJcdAgQIECBAgAABAgQIECBAgAABAgTKK2BGanl9IwWm73//+wsh6mtf+9o488wzY/jw4dGhQ4es9U9+8pNx9dVXR01NTfY6Baq1tbWxbNmyuOeee7K1UpcuXZrNZE0FUph6++23Z2X9QYAAAQIECBAgQIAAAQIECBAgQIBA+QUEqWU2vuOOO+Lee+/NWrnggguygPThhx+On/3sZ9n+KaecEvX19fGZz3wmKzNhwoSorq6O7t27/1XPRo4cGY8++mi2dmo6MHv27L867gUBAgQIECBAgAABAgQIECBAgAABAuUTEKSWzzarOYWiaRsyZEh885vfjC5dumSv0x/psv0HHngg0mX8+7e5c+fu333Fc1pf9frrr8/e//3vfx/PPffcK8p4gwABAgQIECBAgAABAgQIECBAgACB0gsIUktv+lc1pvVN0/aBD3wgqqpeuSRtz54940Mf+lBW5jWveU2ceOKJ2f6h/jjrrLMKh/bXXXjDDgECBAgQIECAAAECBAgQIECAAAECZREQpJaF9S+V/uEPf8heHHfccX9584C9U089NXvn6KOPjnbt2h1w9K9fpuC1U6dO2ZtpVqqNAAECBAgQIECAAAECBAgQIECAAIHyCwhSy2x8/PHHZy2sXr36kC2lWai9e/eOjRs3xtatWw9ZLh343e9+F3V1dVmZAQMGNFjWQQIECBAgQIAAAQIECBAgQIAAAQIESiMgSC2N4yFrOemkk7JjaX3UF1544aDlzjjjjFi/fn3s3Lnzr9ZQPVjhG2+8sfD2ySefXNi3Q4AAAQIECBAgQIAAAQIECBAgQIBA+QQEqeWzzWq+8MILs+fa2tqYMmVKNHQ5frpk/4gjjjhkj1KI+pWvfCU7fvbZZ0e3bt0OWdYBAgQIECBAgAABAgQIECBAgAABAgRKJyBILZ3lQWt6z3veE2eeeWZ27KGHHoqBAwfG5MmT4+c///lByx/4Zrrcf+7cuXHaaafFpz71qaivr48OHTrEy2emHniO1wQIECBAgAABAgQIECBAgAABAgQIlFZAkFpaz4PW9u1vfztGjRqVHUuX7y9cuDA2bdp00LIHvrl48eKYOXNm/PSnP80OVVVVxfXXXx9vectbDizqNQECBAgQIECAAAECBAgQIECAAAECZRIQpJYJ9uXV9urVKx5++OH4zGc+E3379s0ODR48+OVFDrl/wgknFI716dMn0qzWadOmFd6zQ4AAAQIECBAgQIAAAQIECBAgQIBA+QUEqeU3zlpIl+NfddVVsXbt2li2bFmkcLUp25ve9Kb43Oc+Fz/5yU/imWeeidNPP70ppylDgAABAgQIECBAgAABAgQIECBAgEAJBapKWJeqmiDQrl27GDlyZBNK/qlIuqHUF77whSaXV5AAAQIECBAgQIAAAQIECBAgQIAAgdILCFJLb9qsGtevX5+tl5rWTk2PTp06RQpPu3btGj169MheN6tChQkQIECAAAECBAgQIECAAAECBAgQKLmAILXkpA1XuH379liwYEFUV1dHTU1NpNeH2tKNpQYNGpTNYJ00aVJMmDAh0oxWGwECBAgQIECAAAECBAgQIECAAAECrStgjdRW8t64cWN2k6h0w6jLLrssli5d2mCImrpVX18fK1asiHnz5kUKUtMNqhYtWtRKPdYMAQIECBAgQIAAAQIECBAgQIAAAQL7BcxI3S9RxufNmzfH2LFjY9WqVYVW0szS3r17R79+/aJnz57RuXPn6NixYxae1tXVxbZt26K2tja7OdXu3buz89IM1nPOOSfmzp0bl19+eaEuOwQIECBAgAABAgQIECBAgAABAgQIlFdAkFpe39ixY0dMnDixEKKOGDEipk+fHmPGjMkC1Maa37NnTyxfvjxbDuDWW2+N9PqKK66IgQMHZpf6N3a+4wQIECBAgAABAgQIECBAgAABAgQIFC/g0v7iDRus4a677sou40+Fpk6dGsuWLcue0yzUpmwdOnSIUaNGxfz58+Puu++O9DptV155Zezdu7cpVShDgAABAgQIECBAgAABAgQIECBAgECRAoLUIgEbO/3RRx/NiqT1TdNNptq3bzl5utnUtddem9WXlglYs2ZNY807ToAAAQIECBAgQIAAAQIECBAgQIBACQRanuqVoPHDoYolS5ZkH3Py5MmF2aTFfO7zzjuvcPpTTz1V2LdDgAABAgQIECBAgAABAgQIECBAgED5BASp5bPNal63bl323Ldv35K01KNHj0Igu2vXrpLUqRICBAgQIECAAAECBAgQIECAAAECBBoWEKQ27FP00QEDBmR1LF26tOi6UgVpqYB0w6m0DRs2LHv2BwECBAgQIECAAAECBAgQIECAAAEC5RUQpJbXN4YPH561cOedd8YjjzxSVGtbtmyJGTNmZHV07949+vfvX1R9TiZAgAABAgQIECBAgAABAgQIECBAoGkCVU0rplRLBWbPnp3dZKquri6mTJkS11xzTVx88cVx5JFHNqvKlStXxiWXXBLpOW2XXnpps84vpnAKgO+4447Yu3dvMdVk5+6fmbt9+/ai61IBAQIECBAgQIAAAQIECBAgQIAAgdYSEKSWWTpd2j9nzpyYNWtWbN26NQtA0/7o0aNj6NCh2azSXr16RefOnaNTp05RX18fKXTdtm1b1NbWxurVq2Px4sVRU1NT6Om4ceNS9ijIAABAAElEQVTiqquuKrwu987cuXPj3nvvLWkzTzzxREnrUxkBAgQIECBAgAABAgQIECBAgACBcgoIUsup++e6Z86cGekmUdOmTYt0g6g0G3PhwoXZo7nNjx8/Pqqrq6N9+9ZbleGmm27KZtPu27evud19Rfm0xMGDDz4Yp5xyyiuOeYMAAQIECBAgQIAAAQIECBAgQIBAXgUEqa00Muly/kmTJsUNN9wQt9xyS2zYsKHJLXfs2DFSgPrhD384q6PJJ5aoYL9+/eIf/uEfSlLb448/ngWpVVW+eiUBVQkBAgQIECBAgAABAgQIECBAgECrCEizWoX5T4307Nkzrr766uzxzDPPxLJly+Lpp5/OLuNPl/2nmaodOnSILl26RNeuXSMtC3DyySfHkCFDsvdasauaIkCAAAECBAgQIECAAAECBAgQIEDgZQKC1JdhtObu8ccfH+lhI0CAAAECBAgQIECAAAECBAgQIEAg/wKtt9Bm/i30kAABAgQIECBAgAABAgQIECBAgAABAgcVEKQelMWbBAgQIECAAAECBAgQIECAAAECBAgQ+IuAS/v/YpH7vT179sTGjRsL/TzuuOMK+3YIECBAgAABAgQIECBAgAABAgQIECifgCC1fLYlr/mxxx6LU089tVDvvn37Cvt2CBAgQIAAAQIECBAgQIAAAQIECBAon4BL+8tnq2YCBAgQIECAAAECBAgQIECAAAECBF4lAoLUV8lA+hgECBAgQIAAAQIECBAgQIAAAQIECJRPwKX95bMtec1DhgyJDRs2lLxeFRIgQIAAAQIECBAgQIAAAQIECBAg0LCAILVhn1wdraqqil69euWqTzpDgAABAgQIECBAgAABAgQIECBA4HAQcGn/4TDKPiMBAgQIECBAgAABAgQIECBAgAABAkUJCFKL4nMyAQIECBAgQIAAAQIECBAgQIAAAQKHg4BL+ys8yuvXr49NmzbFzp07s0enTp2iW7du0bVr1+jRo0ek1zYCBAgQIECAAAECBAgQIECAAAECBCorIEhtZf/t27fHggULorq6OmpqaiK9PtSW1kQdNGhQjBw5MiZNmhQTJkyIdu3aHaq49wkQIECAAAECBAgQIECAAAECBAgQKJOAS/vLBHtgtRs3boxp06ZFnz594rLLLoulS5c2GKKm8+vr62PFihUxb968LEgdPHhwLFq06MCqvSZAgAABAgQIECBAgAABAgQIECBAoMwCZqSWGThVv3nz5hg7dmysWrWq0FqaWdq7d+/o169f9OzZMzp37hwdO3bMwtO6urrYtm1b1NbWxtq1a2P37t3ZeWkG6znnnBNz586Nyy+/vFCXHQIECBAgQIAAAQIECBAgQIAAAQIEyisgSC2vb+zYsSMmTpxYCFFHjBgR06dPjzFjxmQBamPN79mzJ5YvX54tB3DrrbdGen3FFVfEwIEDs0v9GzvfcQIECBAgQIAAAQIECBAgQIAAAQIEihdwaX/xhg3WcNddd2WX8adCU6dOjWXLlmXPaRZqU7YOHTrEqFGjYv78+XH33XdHep22K6+8Mvbu3duUKpQhQIAAAQIECBAgQIAAAQIECBAgQKBIAUFqkYCNnf7oo49mRdL6pukmU+3bt5w83Wzq2muvzepLywSsWbOmseYdJ0CAAAECBAgQIECAAAECBAgQIECgBAItT/VK0PjhUMWSJUuyjzl58uTCbNJiPvd5551XOP2pp54q7NshQIAAAQIECBAgQIAAAQIECBAgQKB8AoLU8tlmNa9bty577tu3b0la6tGjRyGQ3bVrV0nqVAkBAgQIECBAgAABAgQIECBAgAABAg0LCFIb9in66IABA7I6li5dWnRdqYK0VEC64VTahg0blj37gwABAgQIECBAgAABAgQIECBAgACB8goIUsvrG8OHD89auPPOO+ORRx4pqrUtW7bEjBkzsjq6d+8e/fv3L6o+JxMgQIAAAQIECBAgQIAAAQIECBAg0DQBQWrTnFpcavbs2dml+HV1dTFlypSYP39+vPjii82ub+XKlTFu3LhIz2m79NJLm12HEwgQIECAAAECBAgQIECAAAECBAgQaJlAVctOc1ZTBdKl/XPmzIlZs2bF1q1bswA07Y8ePTqGDh2azSrt1atXdO7cOTp16hT19fWRQtdt27ZFbW1trF69OhYvXhw1NTWFJlOgetVVVxVe2yFAgAABAgQIECBAgAABAgQIECBAoLwCgtTy+ma1z5w5M9JNoqZNmxbpBlHbt2+PhQsXZo/mNj9+/Piorq6O9u1NJm6unfIECBAgQIAAAQIECBAgQIAAAQIEWiogjWupXDPPu/jii2Pt2rXx6U9/Oo455phmnd2xY8dsWYB777037r///kjro9oIECBAgAABAgQIECBAgAABAgQIEGg9ATNSW886evbsGVdffXX2eOaZZ2LZsmXx9NNPZ5fxp8v+00zVDh06RJcuXaJr166RlgU4+eSTY8iQIdl7rdhVTREgQIAAAQIECBAgQIAAAQIECBAg8DIBQerLMFpz9/jjj4/0sBEgQIAAAQIECBAgQIAAAQIECBAgkH8Bl/bnf4z0kAABAgQIECBAgAABAgQIECBAgACBCgsIUis8AJonQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/I+RHhIgQIAAAQIECBAgQIAAAQIECBAgUGEBQWqFB0DzBAgQIECAAAECBAgQIECAAAECBAjkX0CQmv8x0kMCBAgQIECAAAECBAgQIECAAAECBCosIEit8ABongABAgQIECBAgAABAgQIECBAgACB/AsIUvM/RnpIgAABAgQIECBAgAABAgQIECBAgECFBQSpFR4AzRMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+x0gPCRAgQIAAAQIECBAgQIAAAQIECBCosIAgtcIDoHkCBAgQIECAAAECBAgQIECAAAECBPIvIEjN/xjpIQECBAgQIECAAAECBAgQIECAAAECFRYQpFZ4ADRPgAABAgQIECBAgAABAgQIECBAgED+BQSp+R8jPSRAgAABAgQIECBAgAABAgQIECBAoMICgtQKD4DmCRAgQIAAAQIECBAgQIAAAQIECBDIv4AgNf9jpIcECBAgQIAAAQIECBAgQIAAAQIECFRYQJBa4QHQPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOZ/jPSQAAECBAgQIECAAAECBAgQIECAAIEKCwhSKzwAmidAgAABAgQIECBAgAABAgQIECBAIP8CgtT8j5EeEiBAgAABAgQIECBAgAABAgQIECBQYQFBaoUHQPMECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/zHSQwIECBAgQIAAAQIECBAgQIAAAQIEKiwgSK3wAGieAAECBAgQIECAAAECBAgQIECAAIH8CwhS8z9GekiAAAECBAgQIECAAAECBAgQIECAQIUFBKkVHgDNEyBAgAABAgQIECBAgAABAgQIECCQfwFBav7HSA8JECBAgAABAgQIECBAgAABAgQIEKiwgCC1wgOgeQIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM3/GOkhAQIECBAgQIAAAQIECBAgQIAAAQIVFhCkVngANE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn5HyM9JECAAAECBAgQIECAAAECBAgQIECgwgKC1AoPgOYJECBAgAABAgQIECBAgAABAgQIEMi/gCA1/2OkhwQIECBAgAABAgQIECBAgAABAgQIVFhAkFrhAdA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5n+M9JAAAQIECBAgQIAAAQIECBAgQIAAgQoLCFIrPACaJ0CAAAECBAgQIECAAAECBAgQIEAg/wKC1PyPkR4SIECAAAECBAgQIECAAAECBAgQIFBhAUFqhQdA8wQIECBAgAABAgQIECBAgAABAgQI5F9AkJr/MdJDAgQIECBAgAABAgQIECBAgAABAgQqLCBIrfAAaJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLzP0Z6SIAAAQIECBAgQIAAAQIECBAgQIBAhQUEqRUeAM0TIECAAAECBAgQIECAAAECBAgQIJB/AUFq/sdIDwkQIECAAAECBAgQIECAAAECBAgQqLCAILXCA6B5AgQIECBAgAABAgQIECBAgAABAgTyLyBIzf8Y6SEBAgQIECBAgAABAgQIECBAgAABAhUWEKRWeAA0T4AAAQIECBAgQIAAAQIECBAgQIBA/gUEqfkfIz0kQIAAAQIECBAgQIAAAQIECBAgQKDCAoLUCg+A5gkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/Y6SHBAgQIECAAAECBAgQIECAAAECBAhUWECQWuEB0DwBAgQIECBAgAABAgQIECBAgAABAvkXEKTmf4z0kAABAgQIECBAgAABAgQIECBAgACBCgsIUis8AJonQIAAAQIECBAgQIAAAQIECBAgQCD/AlX57+Krs4e7d++Ojh07NvvDPf/887Fr167svOOOO67Z5zuBAAECBAgQIECAAAECBAgQIECAAIHmC5iR2nyzFp/x3e9+N9797ndHr169onPnzvGWt7wlLrjggliyZEmT67zooouib9++2aPJJylIgAABAgQIECBAgAABAgQIECBAgEBRAoLUoviadvKOHTviwgsvjPe+973xwAMPxHPPPRf79u2LJ598Mm6//fY444wzYvr06YWZpk2rVSkCBAgQIECAAAECBAgQIECAAAECBFpLQJDaCtKf/vSnY8GCBYWWjj766Ojfv3+0a9cue2/v3r1x/fXXx9ChQ2PNmjWFcnYIECBAgAABAgQIECBAgAABAgQIEMiHgCC1zOOwcuXK+NrXvpa1ki7pv+eee2Lbtm3x29/+NjZv3hxf/vKXo1u3btnxp556Ks4880xhapnHRPUECBAgQIAAAQIECBAgQIAAAQIEmisgSG2uWDPL33zzzfHSSy9FVVVV/OAHP4hzzjkn2rf/E3sKUGfNmhVPPPFEDBkyJKv5d7/7XYwZMyY2btzYzJYUJ0CAAAECBAgQIECAAAECBAgQIECgXAKC1HLJ/rneFJKm7YMf/GAhLP3zocJT7969Y/HixTF69OjsvXR5/8SJEyOtrWojQIAAAQIECBAgQIAAAQIECBAgQKDyAoLUMo/Br3/966yF4cOHN9hS165d4/777493vOMdWbmf//zn8b73vS+bzdrgiQ4SIECAAAECBAgQIECAAAECBAgQIFB2AUFqmYlffPHFrIWjjjqq0ZY6d+4c3//+9+NNb3pTVva+++6LT3ziE42epwABAgQIECBAgAABAgQIECBAgAABAuUVEKSW1zfe/OY3Zy386le/alJLr3/96+OBBx6Inj17ZuXTGqvXXXddk85ViAABAgQIECBAgAABAgQIECBAgACB8ggIUsvjWqh1f5BaXV0dmzZtKrzf0M6AAQOymalphmraZs6cGQsWLGjoFMcIECBAgAABAgQIECBAgAABAgQIECijgCC1jLip6nSTqbQ999xz2f7GjRuz14398fa3vz1S+Nq+ffvYt29fXHzxxfGFL3wh9u7d29ipjhMgQIAAAQIECBAgQIAAAQIECBAgUGIBQWqJQQ+sbuLEiXH22Wdnb//gBz+It7zlLVkoetNNNx1Y9BWvzz333Pj6178e7dq1ywLUz3/+89ll/68o6A0CBAgQIECAAAECBAgQIECAAAECBMoqIEgtK++fKp8/f34MGjQoe7F58+b41re+FfPmzWtSyx/96Efjlltuiaqqqqy8GalNYlOIAAECBAgQIECAAAECBAgQIECAQEkFBKkl5Tx4ZSeccEIsX748pk2bFkcffXRW6Nhjjz144YO8e9FFF8WKFSvi9NNPP8hRbxEgQIAAAQIECBAgQIAAAQIECBAgUG4BQWq5hf9cf6dOnSJdzr9ly5ZYunRpdgOp5jT9tre9LRYvXhy33XZbpPVTu3bt2pzTlSVAgAABAgQIECBAgAABAgQIECBAoAiBP10vXkQFTm2eQLpEPwWhLd0uuOCCSA8bAQIECBAgQIAAAQIECBAgQIAAAQKtJyBIbT3rg7a0fv362LRpU+zcuTN7pJmr3bp1y2ac9ujRI9JrGwECBAgQIECAAAECBAgQIECAAAEClRUQpLay//bt22PBggVRXV0dNTU1kV4fakuzV9NNqkaOHBmTJk2KCRMmRLt27Q5V3PsECBAgQIAAAQIECBAgQIAAAQIECJRJwBqpZYI9sNqNGzdmN5vq06dPXHbZZdk6qQ2FqOn8+vr67CZT8+bNy4LUwYMHx6JFiw6s2msCBAgQIECAAAECBAgQIECAAAECBMosYEZqmYFT9Zs3b46xY8fGqlWrCq2lmaW9e/eOfv36Rc+ePaNz587RsWPHLDytq6uLbdu2RW1tbaxduzZ2796dnZdmsJ5zzjkxd+7cuPzyywt12SFAgAABAgQIECBAgAABAgQIECBAoLwCgtTy+saOHTti4sSJhRB1xIgRMX369BgzZkwWoDbW/J49e2L58uXZcgC33nprpNdXXHFFDBw4MLvUv7HzHSdAgAABAgQIECBAgAABAgQIECBAoHgBl/YXb9hgDXfddVd2GX8qNHXq1Fi2bFn2nGahNmXr0K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)
# Defining the generative model
pick.bills <- function(N.bills) {
bills <- rep(0:1, c(N.bills - x, x)) # 0 for un-marked, 1 for marked in the inital capture
prob.pick <- ifelse(bills == 0, 1.0, u)
sum(sample(bills, y, prob = prob.pick)) # sampling y bills in the second capture
}
# Simulating the data
N.marked <- rep(NA, N.draw)
for(i in 1:N.draw) {
N.marked[i] <- pick.bills(N.bills[i])
}
# Filtering out parameter values N.marked that were not equal to w
post.bills <- N.bills[N.marked == w]
# Plotting the posterior distribution
length(post.bills)
[1] 4277
barplot(table(cut(post.bills, seq(x,upper.limit,bin.width))) / length(post.bills), col = "blue")
![](data:image/png;base64,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EEEMhc4MCBA3L8+PHMFyzQEuedd55ohSUCAgggELQABalBi/rEN23aNJk4caIsX75c7r33Xnn++ed95mw/uqysTLQAdfr06TaO9nMwBgEEEEAAAQQQiL6Atrh5/PHH5cyZM9HP7Cs5vOiii2TAgAFFk18yigACCAQt8Oijj8qVV14ZdLShxldSco5s3fo7950loSZG5AggE+ryrgAAQABJREFUcFYJUJCax81dXV0tixcvtn979+6V+vp62bVrl23Gr83+taZqaWmpdOnSRSorK0W7BRg4cKAMGTLEjstjVkkKAQQQQAABBBAIXOCmm26S733ve4HHG2aEXbqcZ7pnOkJroDCRiRsBBCItsGfPnlfyV2k+L4h0Xv+Zub+ZB3bHZN++fRSkFsHWIosIFJsABakF2mJ9+/YV/SMggAACCCCAAAJni8ChQ4deWdV3mM9iaHK5QV5+uVlOnz4t2kKIgAACCJzdAteY1V9RBARTTB7vL4J8kkUEEChGAQpSi3GrkWcEEEAAAQQQQKCoBb5gcj+pCNag3OTxZBHkkywigAACCCCAAAII5EOAgtR8KCdJQzvt1toZ2nG3/pWXl0vXrl1t0359QZV+JyCAAAIIIIAAAggggAACCCCAAAIIIIBAYQUoSM2zv/aDunr1aqmtrZWGhgbbL6pfFjp37iyDBg2SkSNH2pdMjR8/Xjp16uQ3O+MRQAABBBBAAAEEEEAAAQQQQAABBBBAICSBkpDiJdo4gYMHD0pNTY306tVLZs6cKXV1dUkLUXXx1tZW2bZtm6xYscIWpA4ePFg2bNgQFzNfEUAAAQQQQAABBBBAAAEEEEAAAQQQQCBsAWqkhi1s4j98+LCMGTNGduzY4aamNUt79uwpffr0kerqaqmoqLAvMdDC05aWFmlqapLGxkb7psGTJ//ZN5fWYL3qqqtk2bJlMmvWLDcuBhBAAAEEEEAAAQQQQAABBBBAAAEEEEAgXAEKUsP1lWPHjsmECRPcQtQRI0bInDlzZPTo0bYANVXy+pbYrVu32u4AVq1aZd8aO3v2bBkwYIBoU38CAggggAACCCCAAAIIIIAAAggggAACCIQvQNP+kI3Xrl1rm/FrMlOnTpX6+nr7qbVQ0wmlpaVy2WWXycqVK2XdunWi3zUsWLBAzpw5k04UzIMAAggggAACCCCAAAIIIIAAAggggAACOQpQkJojYKrFt2zZYmfR/k31JVMlJdmTaw3UpUuX2vi0m4A9e/akSp7pCCCAAAIIIIAAAggggAACCCCAAAIIIBCAAE37A0BMFsXmzZvt5EmTJrm1SZPNn2ralClT5LOf/aydbefOndK/f/9UizAdAQQQQAABBBBAAAEEEEAAAQReEXjqqafkiSeeKBoPfcfKe9/7XnnjG99YNHkmowh0VAEKUkPesvv377cp9O7dO5CUqqqqbIGs9p164sSJQOIkEgQQQAABBBBAAAEEEEAAAQTOFgFt7fmXv/ylqFb3iiuukF//+te+eX7hhRfsi6t9Z4jYhMrKSnnd614XsVyRHQRSC1CQmtoopzm0xuj27dttP6k33nhjTnHpwtpVgBaiahg2bJj95B8CCCCAAAIIdEwBrTHjPJQthjU899xz5fLLLw+kFU4xrC95RAABBBAoToGmpqZXMv5v5vPciK/EiyZ/66W5udk3nz/72c/kQx/6kO/0KE4499wyeeqpBnnzm98cxeyRJwR8BShI9aUJZsLw4cNtQeqaNWtk2rRpMmrUqKwjPnLkiMydO9cu361bN+nXr1/WcWWy4O7du+Xhhx+WWCyWyWIJ5922bZsdf+rUqYTTozKyrq5Otm7dGpXspMyHNvV4//vfLwMHDkw478svvyy1tbVF9YRSa19/7GMfE123RGHjxo322Eo0LYrjdD30ybffhYIe3z/4wQ/cByVRXIf4PPXs2VM+8pGPxI92vz/66KPy9NNPu9+jPqB9WE+ePFn69OmTMKt///vfRV8g2NramnB6FEdq86+rr77aN2vr16+XZ5991nd61Cacc845ol3c6L6XKPz1r38VvZH4xz/+kWhyJMcNGDBAPvCBDyTM24EDB2Tw4CHm5ZLFsz66IosXL5ZFixYlXKdXRz5oBp979Wtkh9I93g+YNbgjsmvxasbqXx1MOfQTM8c/r9tSzlqwGf5ZuSC95Pea2YphG2ViXmvW6bfmL8rBv+Cnfa6fMaOKYRs91T7rvmNWmSndfKdGY8ILGWRjh5m3GLbR7gzW6e1m3tdkMH8hZk1dc3bXrl2FyFhOaZ46dVL27dvne3/U0e73csJi4UgJUJAa8uZYuHChfclUS0uLvUG/9dZbbYGq1tjIJGit1htuuMEtOJoxY0Ymi+c07+zZs0VvtoMMTz75ZJDRBR7X1KlTO1RTj/vuu08+/elPB+4UdoQXXXSRjBgxImEyWuB19OjRhNOiOvK3v/2t3H///Qmzt2LFCtHzRbGFoUOHihYExQctyJowYUJRFTrqOvzhD3+QVav0pqd9uO222+SWW25pPyHiY55//nnp3r17u1zq8aP9dxdb0Id7y5cvT5htLcC75557Ek6L6kh9yKIPu17zmvY3cTq+2ApR1TnZubm0tPSVTfGdqG6Sdvnq1KlEtBA/UXh1ffaaybMSzRLJca/mu332Xp12V/uJER2T7Lr61fXRB3sdbRt9I6JbpH22Xt0OyaZpIXImBcnt48rnmPTW6av5zFJOaaW3PltMGvpXHCHZOr163kj14C8665psfZJNi84atM9Jsnx3tPu99mvPmGIVoCA15C2nTfuXLFki8+fPtzcWWgCqw1ozVQsgtFap3uBWVFRIeXm5LXTQQldtatDY2Ch6w7hp0yZpaGhwczp27Fi5+eab3e9hD3z+85+Xt7zlLeZm7kzOSel66UuyvvKVr+QcV5gR3H777dY9zDSCjFtvxJPVOtMaXPq0T/etYgmvf/3r7THil99vfvObRdVBvNZ2/OhHP+q3Orb27aFDhyTqtbW9K6C1Av1q2GqhgxYO79ihNReKI2ieP/7xj/tm9vrrr7fnaKd7Fd8ZIzShb9++CQtRNYtdu3aVu+++W4qpBkPnzp1l+vTpvsI1NTW2QLKYag1ffPHFCQtRdSX1IYX+Hu3du9d3naM2QW9MdTv4hS9+8Yui+2Ux1RrW1kW67yUKOk0fsPztb39LNDmS4/R687rrrvPNmz6QGDx4cCDXfb6JBDxBu5PwC3rNrdfNL76oTWOLI+iDlWuuucY3s0uXLpV169YF0lrMN5EAJ+h16ujRo31j1Fr5X/rSl0Rb5xRL0L4dk11733XXXfLzn/+8qLaRPgD3C3ov8dxzz9kHf37zRG38+eefL2PGjPHN1re//W35zW9+4zs9ahP0ONLt4BeuvfZa0T5Si+k9KhdccIFceumlfqskHe1+z3dFmVB0Ap1Mc+3c22sX3WrnP8Naw0lvLHI9sY0bN8420dam/QQEEEAAAQQQQAABBBBAAAEEEEAAAQQQyI8ABan5cbapaP962hzx3nvvFW1qmW4oKysTLUDVWjgTJ05MdzHmQwABBBBAAAEEEEAAAQQQQAABBBBAAIGABChIDQgy02i0mV59fb1tUqnN3bU/MX0Ln/YR0qVLF9HmItotgL48aMiQIXZcpmkwPwIIIIAAAggggAACCCCAAAIIIIAAAggEI0BBajCOxIIAAggggAACCCCAAAIIIIAAAggggAACHVigpAOvG6uGAAIIIIAAAggggAACCCCAAAIIIIAAAggEIpD4FaSBRE0kQQvom6IPHjzoRnvhhRe6wwwggAACCCCAAAIIIIAAAggggAACCCCAQHgCFKSGZxt4zE8++aRccsklbryxWMwdZgABBBBAAAEEEEAAAQQQQAABBBBAAAEEwhOgaX94tsSMAAIIIIAAAggggAACCCCAAAIIIIAAAh1EgILUDrIhWQ0EEEAAAQQQQAABBBBAAAEEEEAAAQQQCE+gk2keTvvw8HwDjbm1tVVeeuklN87u3bu7wwwggAACCCCAAAIIIIAAAggggAACCCCAQHgCFKSGZ0vMCCCAAAIIIIAAAggggAACCCCAAAIIINBBBGja30E2JKuBAAIIIIAAAggggAACCCCAAAIIIIAAAuEJUJAani0xI4AAAggggAACCCCAAAIIIIAAAggggEAHEejcQdajaFfjwIEDcujQITl+/Lj9Ky8vl65du0plZaVUVVWJficggAACCCCAAAIIIIAAAggggAACCCCAQGEFKEjNs39zc7OsXr1aamtrpaGhQfS7X+jcubMMGjRIRo4cKRMnTpTx48dLp06d/GZnPAIIIIAAAggggAACCCCAAAIIIIAAAgiEJMDLpkKCjY/24MGD8tWvflXuu+++pIWn8ct5v7/97W+XW265RSZMmOAdzTACCCCAAAIIIIAAAggggAACCCCAAAIIhCxAQWrIwBr94cOHZdSoUbJjxw43Na1Z2rNnT+nTp49UV1dLRUWFlJWVSWtrq7S0tEhTU5M0NjbKvn375OTJk+5yJSUlsmzZMpk1a5Y7jgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQCFeAgtRwfeXYsWMyZswYqaursymNGDFC5syZI6NHj7YFqKmSP336tGzdutV2B7Bq1SrR7xo2bNhgm/qnWp7pCCCAAAIIIIAAAggggAACCCCAAAIIIJC7AAWpuRsmjUELP6+77jo7z9SpU23fqFqrNJvw8MMPy9VXX20LU7Xv1O3bt0u2cWWTPssggAACCCCAAAIIIIAAAggggAACCCBwtgpkV6J3tmplsd5btmyxSw0ePNjWKs2l4FNfNrV06VIbn3YTsGfPnixyxCIIIIAAAggggAACCCCAAAIIIIAAAgggkKkABamZimU4/+bNm+0SkyZNktLS0gyXbj/7lClT3JE7d+50hxlAAAEEEEAAAQQQQAABBBBAAAEEEEAAgfAEKEgNz9bGvH//fvvZu3fvQFKqqqpyC2RPnDgRSJxEggACCCCAAAIIIIAAAggggAACCCCAAALJBShITe6T89T+/fvbOJyXTeUaoXYV4LxwatiwYblGx/IIIIAAAggggAACCCCAAAIIIIAAAgggkIYABalpIOUyy/Dhw+3ia9askY0bN+YSlRw5ckTmzp1r4+jWrZv069cvp/hYGAEEEEAAAQQQQAABBBBAAAEEEEAAAQTSE6AgNT2nrOdauHChbYrf0tIikydPlpUrV8qpU6cyjm/79u0yduxY0U8NM2bMyDgOFkAAAQQQQAABBBBAAAEEEEAAAQQQQACB7AQ6xUzIblGWSldg6dKlMn/+fHf28847T0aNGiVDhw61tUq7d+8uFRUVUl5eLq2traKFrk1NTdLY2Ci7d++WTZs2SUNDg7u8Fqg+8sgjUlJCObiLwgACCCCAAAIIIIAAAggggAACCCCAAAIhClCQGiKuN+pVq1ZJTU2N5PqCqHHjxkltba1o034CAggggAACCCCAAAIIIIAAAggggAACCORHgILU/DjbVP7+97/L8uXL5d5775Xnn38+7ZTLyspEC1CnT58uEydOTHs5ZkQAAQQQQAABBBBAAAEEEEAAAQQQQACBYAQoSA3GMeNY9u7dK/X19bJr1y7bjP/o0aPS3Nxs+1Pt0qWLVFZWSv/+/WXgwIEyZMgQ0XEEBBBAAAEEEEAAAQQQQAABBBBAAAEEECiMAAWphXEnVQQQQAABBBBAAAEEEEAAAQQQQAABBBAoIgHeVlREG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQlQkFpEG4usIoAAAggggAACCCCAAAIIIIAAAggggEBhBChILYw7qSKAAAIIIIAAAggggAACCCCAAAIIIIBAEQl0LqK8ktUOKPDkk0/KX/7yFxk0aJC88Y1v7IBryCohEL4Ax1H4xqTQ8QU4jjr+NmYN2wuw37c3YQwCCHQ8Ac51HW+bskYIFFKAgtRC6p/laf/tb3+TUaNGSWtrq+zcubOdxkMPPSQbNmxoNz7RiNe85jVy2223JZpkx/3jH/+Q//mf/5Ef/vCHsmvXLmlqapJ3vOMdctlll8n48ePlkksu8V3WOyGoeLxxxg+fOXNGZs6cKfqZTvjIRz4iV1xxRbtZg4pHI852vf/lX/5FDhw40C5vui3GjRvXbjwjMhfwO45uvPFGu90yjbFnz55y8803J1ws2/0gPrJnn31W/uu//kt+//vfiw5feOGFcumll9rjUffn1772tfGLpP1dzxk/+9nP0p7fO6OajRgxwjtKonAe4jhqs0lC+eJ3HHkTe/HFF2X58uXyhz/8QbZv3y4tLS3Sv39/ed/73ief/exnpVevXt7ZfYeL4TiKz/wDDzwg+qfr/cwzz0iPHj3krW99q0yfPl0mT54snTp1il+kzfdCH0c/+MEPZM6cOW3ypF/e/va3y69+9at248+WEens94kstmzZIu9+97vl/PPPFz0uwgwf+MAH5Oc//7ncdddd9tooVVpB7mup0sr39KDOHS+88ILceuutsnXrVvnzn/8sJ0+elD59+tjrsk996lNy0UUXhbZqYe07L730kr0P0OsKvc7Xfbtfv352XXRframpkXPPPTe09Qoz4qCumdatWyff+9737Dbfu3evvP71r5e3ve1t8rGPfUz+7d/+Tc4555x2q9FRrj+yPddlev5pB5jBCL03fc973iPPP/+8XH311bJixQrfpYO8x/NNpIATgjrXZbPPB7XaYZzrOvLvm7oHca7L9vctq3NdjIBAgQTMj0TMHDMxU2iTMAcf/ehH7XSdJ9Vf165dE8ahI/fv3x8zN0u+cXTu3Dl23333+S7vTAgqHic+v8+nn37aN6+JHG6//faEUQUVTy7rbQrIEq6L+WFLmGdGZi7gdxzpfp1of0k17uKLL06YiVz2A2+E3/jGN2KlpaW+eXvXu94VO3TokHeRjIa/9rWv+cadat1/9KMftUsrCuchjqN2myXwEX7HkZPQgw8+GOvevbvvvmVu0GNLly51Zvf9LJbjyFmBw4cPx8xNtu966zE1dOjQmGlZ4iyS8LPQx9F3vvOdhOugeT+bQ6r9PpGNnp8HDBhgPauqqhLNEti4b37zm+52MwWpacUb1L6WVmJ5nCmoc8e3v/3tWGVlpesa/7toHmTGTMF1KGsW1r5zxx13xF73utf5rpOuoykcjv3mN78JZb3CjDSIayZTMBd773vfm9Rn0qRJsePHj7dblY5y/ZHNuS6b8087wAxGfPzjH3e3kZ7HkoWg7vGSpVGoaUGc63LZ54NY77DOdR31903NgzjX5fL7ls25ToLYWYgDgUwF1q5da38sTA2ehD/cGp9zoR5/kZfou19B6tGjR2ODBw92f5j0pumLX/xizDzli5mnr7GKigo7zdSmid19992+qxFUPL4JeCaYmjNufhOta/w4v4LUIOLJdb1XrVplXdXW1Px114uCVM8Gz2Ew2XGUbUGqqRnaLke57gdOhPfee6+7D5SXl8c+8YlP2GPx85//fGzIkCHuNNPVR0wvgrIJuRSkPvroo+2SjMJ5iOOo3WYJdESy40gTMi0Z3H1Tz7/6m6L77He/+92YqYkaq66udqd/7nOf881bMR1HuhKnTp2K6bHo/OZoYbHe6H3rW9+Kff3rX4+NHTvWnaa/5aZlie+6F/o4euqpp9zfIv09ctbpbC5ITbXfJ9qYug+bWvuuX5gFqbW1tbGSkhI3rXQLUoPY1xKteyHHBXXuWL9+fUyvd539X2/K9XjWc9mMGTPch5z6sFP9gwxh7Tvf//733fXR9TI1CGNLliyJmZZPsS984QuxgQMHutP1ml/PBcUSgrhm0vO4aX3nGvTu3Tv25S9/OaZut9xyS5trL50v/kF2R7j+yOZcl+35J9t9a82aNe420v04VUFqEPd42eY1zOWCONflus/nun5hnes0Xx3x903XK4hzXa6/b9mc6yhI1a1HyKvAkSNHYhdccIH9wfC7MH755ZfdC+j3v//9MdMkI+nfwYMHE67D3Llz3R8m02Q4ZpovtZnv8ccfj2khrP5oacHTX//61zbTnS9BxePEl+xTb8Sdi1ytFZBq3Y8dO5YwuiDiCXK99cLNWS8KUhNusoxGpjqOtCAynb///d//dR8oaC0VfcodH4LYD0xTCzcdPeZ++9vftklGL3ymTp3q7iOf/vSn20xP94ueO9JZb53nmmuucdMzzRnbJRG185BmkOOo3WbKaUSq40hvKr01UW+66SZbwOhNVH833vnOd7r7kl+tp2I6jnT9Fi9e7K6TafYbM82Avatth//7v/87ZpqD2vm0xlOiEMXjyPktOlsLUlPt94m2o2mmGDPdObj7hBqGUZCqteLmz5/v7lfOtvK7XvTmNah9zRtnFIaDOHeYpu/u9a4WUJsmou1WzXRbEjNdZdltrNfE+/btazdPNiPC2neee+652HnnnWfzq4W/plufdtnTa4vPfOYz7n6rx7yOi3oI6ppJC5OdY8h0AxZrbm5us+qnT5+2D8iceW644YY2071fivH6I9NzXS7nH69VJsONjY0x002Ku510W6QqSA3iHi+TPOZr3iDOdUHu85mud1jnOs1HR/19C+JcF/TvW7rnOgpSMz1CmD9nAdMvk/2x6NatW8z0MZcwPj0ROT/qekLMJuhB1aVLFxuP3gTGF6I6cerFpJPWl770JWe0+xlUPG6EKQacWj56EXvixIkUc/tPzjWeoNc73ZOS/xoxxSuQznHknT/RsO5felOh+7/WUjF9ILabLaj9YNGiRe5xpjXCEwXTJ5Jb20mPXdNfVKLZAhmnzfid4167E0h0fojSechZaY4jRyKYz1THkdY4dfaTMWPG+CZq+puLaS1rnVe7kokPxXYcmb6t3Qcfuk76wMUv/Pu//7tr9JOf/KTdbFE8jpxterYWpKba770bUW/e9Djw1g51/IIuSN24cWPsLW95i7s/OenoZzoFqUHsa951D2PY9Elpm5nrQ5l0QlDnDn3o4Xjq9vQL2t2WM99Xv/pVv9nSGh/2vqM1T5286jWGXzDvYnCvLXT++vp6v1lDGX/PPffYba7dCySrue9NPIhrJtOPZsxprqoF5NpkOlHQwlWnawSttet3b1aM1x+ZnOtyPf8ksk01TrfR6NGj7X7sPBTQfTRVQWqu93ip8pXr9Gz2+SDOdUHv8+k6hH2u03x0xN83Xa8gznVB/76le66jIFW3ICFvAvoUWJsA6o/Edddd55uuNjVyLo4SPWH2XdAzQQtrnDj0YitZ0Isbnde8aKfdk+qg4kmWvneaU1tXmzrnEnKNJ+j1TveklMs6ny3LpnscpfLQWpjOMaI1gBKFoPYD83Iam5ZeKCYqtHTS9jajTtbdhjN/Np/m5RruQxatHetXEz1K5yFnPTmOHIncP9M5joYNG+YeI6mahGotaud4iq/ZXWzHkT5Ucdblwx/+cFJsbRHizJvo5i+Kx5GT37OxIDWd/d7Z4FrgZF7Y425fLUzVmx7nfB5UQare/Orx4212rv11e2sSplOQGsS+5qx7WJ9Otzv/+q//mlYSQZ07zAs+3e34f//3f75pa2sR5/jQViLZhnzsO1deeaWbV32YlSxoM3ZnvXQ/yWfwdjnU0NCQVtLOMZbLNZNuA2edJ06cmDRdbx+qeo2UKBTb9Ue657qgzj+JzFKNW7Zsmd1Gem71FgalOvZyvcdLla9cp2ezzwdxrgt6n0/HIR/nOs1HR/x90/UK4lwX9O9buue6EnOCJSCQNwFTSCKm0MKmp2/n9gvbtm1zJw0fPtwdzmSgrq7Ond08uXOHEw2Y7gPsaH2ro2mW2WaWoOJpE6nPF33Dvb5tTkO2663LBhFPPtdb80xIXyDd4yhZjI899piYizY7S9++fcX8aCScPYj9QN8Oa5rS2/hHjRqV9M255sm8+wZw00dVwjzlOtI0XRPz9NhGYx6yyBve8IaEUUbpPJQwg4zMSSDVcWRuruzbjTUR04JCTF97SdMzhXLu9Pg3wRfbcfSnP/3JXRd943WyYG7o3GNIzyvmurjN7BxHbTgK/iXVfu/NoOlzTPbs2WNH6XlS92vT5YOYwkA7zhR8emfPeliPNXOT6O47119/vejb180DZTfOdNIKYl9zEzQD27dvF9MqSkwhlJi+JeXNb36zmAJQMYUE7m+ad/4whoM4d2i+zMMR+eMf/yj6u6pvJ/YL+uZwJ5jKBc5gxp/52HfMDbiYblXEVIYQ0/IsaR6962JqZvrOa5q6y8qVK2X69OlyySWXiOkDWy6//HKZOXOm6BvA8xGCumYaOXKk3U9N/+++13jO+jjb3XTVYtfZGV/Mn+me64I6/2Rq9eSTT4p5MGUXM031JdVvrRN/EPd4TlzOZ0c51xVin8/HuU63U9C/bx3pXJfv3zfnuKEg1ZHgMy8Cy5cvt+noTanpq8c3TT2ha9AbNL141aA3Z6a/JjFV/+33VP/MEyI7i3nKJ+blIEln916sm6fFbeYNKp42kfp8cdZbJ+sFnBO00OfZZ58V0/TZGZX0M4h48rneSVeGie0E0j2O2i34ygj98dSbAieYmp9imn05X9t8BrEfOHFoxN7CpjYJvfJFb1qcG574YzHR/JmO05vITZs22cX0gsu8YMM3Cuc4isJ5yDeTTMhaINVxZPotE9P9hY1fb9RTBX0g4QRv4YeOc46BXH6PnDg0vrCPo2eeeUaTsSGTdf/73/8uu3fvdha1nxxHbTgK/iXVfh+fQVPr1BaemlrW8r73vS9+cqDf9aG36UZCvvOd7/j+JiVLMIh9TePXghV9yPaOd7zDrvuGDRtEC9/0OuynP/2pmJeW2utKvXkLOzjHfS7nDs2jeVmczbN50ar7sDJR3n/5y1+6oydMmOAOZzMQ9r5jXigleq41NSiTrpPmXQuRneB3T6D7uHNdYF7AZQvzX3zxRdm8ebOYN7jLBz/4QTE1BeXw4cNOVKF8OttcI8/1XG/6+BbTLU3SyhmmVYHs2LHDrovp6sg+OAxlxfIcaabnulzPP5msnmmZJR/72MdEP3Ubf+UrX0l7cec8pwvkcq+oy3fEc10h9vmwz3W6rZztnss9icajoaOd6wrx+6aOFKSqAiEvAlrb03maMnnyZDEdwydMVwsLnR90rZVp+gQRU2VbTPMW0RvV17/+9fbJs2luaC9qE0ZiRjo3c6YrAd+0nGW9T7L1gswbgorHG6ffsHOS1OnmzXz2At40qxPzEiBbE8L0G2kv7E0TN7fmRqK4gognn+udaB0Yl1gg3eMo8dL/HHvHHXfYH1H99qEPfUiS3SwFsR/s2rXLzY7uz6mCczyafrts7epU86c7XeMzXRjY2bXWhWlGJHpzmihE7TyUKI+My14gneNIH/g5wamt43xP9OnUutZpevPtDcV2HOlNgRNyWXeOI0cxGp/p7PfenGrLIa0dp7Wm9DokrKDnYS08+sUvfiHmzeFZJRPUvqaJT5o0ST7/+c+LPnQ0fUaK6YpK7rzzTvn6179ua6RqjVx9aHD11VfL7bffnlV+010oiHNHumlp4aE+WNWg187vec970l203Xz52nfaJZxghP72e1u4aAF5fDD9Y9rCRuc+RQuodB/QljumT1lb61WXMW9XF9Pli5g3c8dHEdj3fF4z6X48fvx4u6/rCmhBe0cImZzrgjj/ZGq2YMEC0coCZWVlct999yVtqRUfdxD3eE6cZ+O5Luh9Ph/nuiB/387Wc12Qv2/O8fPPtjnONz4RCFFAm/w5IVmzIq0JYzo6t7NqzYREF9VaU0j/HnnkEXtha/rWcqK2n+ZN9m7tTX0ylSpoLTgnmLc0O4MSVDxuhCkGvD+OWsAVfwOrLk888YT9u//++0Wfxr/xjW9sF2uu8eR7vdutACN8BdI9jvwi0H1KmyVq0ItHbabpF4LaD7z7cTbHo1/Te798+42/7bbbRC+uNeiFT7KaHlE6D/mtD+OzF0jnONKHd+ZFHbYmmnlBiK05ojc9fkGf8DvBvCnYGQzsdySfx5F5O7ubf32wqc2Z/YLW2tXWIk7wrjvHkaMSjc909ntvTgcNGuT9GtqwNtvXmoC5hCD2NU3fvIhQHn74YZsVba304x//WMwLsNpkTVs16MN87YpJa6eavoHd7i3azJjjl6B+g/2yoQ9/9DpbC2vXrl3rVnYYMWKEbcbuV+HBLz7v+HztO940/YbNC7REa11qMP2qSvwDXfMyKqmpqXFbIHzjG9+QOXPmtHnQqtff5sV69rpbz3dag1CvKcIIYZ/rdf/V48X0lSvf//73xbyp3nbXoQ8LdB07QsjkXBfE+ScTM631rRUaNGjNd/OCykwWd2sm6kK53CueTee6MPf5fJzrgvp9O5vOdWH+vjkHLAWpjgSfoQt4f9Sc5vqJEnWeBus0fYr82te+VrRfxfe+972i/SHpEzxtWqVNrPQiUy9+zj//fLnmmmvc6LxPirU2QargnUcvKJwQVDxOfKk+veuuF1LmZQu2CwRtaqMX7Fu3brUXu9rNgXkhgO23S/sR0yrt3pBrPPleb2/eGU4ukO5x5BeL9v3lbF8tHNF9zC848+l07zHiN793nkIeR4nyp/lxatroRbPWNEkWvMdQoc9DyfLJtOwE0j2O9AJZm/RqzbSlS5f67jdaeOj0Oaw58jb9LMbjyHtjoDW3tUaWt4auV10LE7S2hBO8685x5KhE4zPd/T4auc0sF0Hsa/o7oX0VatDfMy1cjC9E1WlaU1NrkWmhnF6H/sd//If9rtM0PPfcc7aA5J/f2v53jhUtxNJ+OOODeQGimBfQ2NFBnTvi03C+P/jgg3LjjTc6X+2nXp9rlwVOFzttJhbhF61woAWjGrRWtfc87ayOnuPMywTtV619PG/ePGeS+1leXi6rVq2yBZDanYBeT2h/695rKG1KnqhLIm/lhv/8z/+09yxuxK8MXHvttfZeR7+Gvd21ewLnobKTD+0nv6MUouo6RfVcp5V1PvnJT9pWhdpVyuzZs51NkPan91yX7b1iUOc69vm0N1tOM3q3ebb3JJqBIM51Qf2+aX7CPNfl5ffNFMgQEMiLgGmmr2+gsH+m8M83TXMB485nmhbFEr0p2Vy4xrxvHDfN/WOmoNGNU9846aRl+gZyx/sNmEJZd35TaOvOFlQ8boRJBsyPYZs31pqn4THTd027JcxTNfcNd7qOX/rSl9rME0Q8Yay3uUhzjU2H/W3yzJf0BdI9jhLFaPpiipnanXY7mMLEmOkzLNFs7rig9gN9+6hzPJq+xtz4/QbMDYU7v3n5m99sGY3XNz47eTBP8FMuG6XzkDezHEdejeyH0z2O9Hyrx4ruO+ZGOvbQQw+1S9T0YR3TN3A7+5d+vulNb3LnK9bjyLyE0V0n0/1HzBSQuuvkDPz617+OmYed7ny67qtXr3Ymx6J6HDnbytRKd/N6Ngyku9+nsjA1te0212uvMIPpK9Xdt0zBVdKkgtjXTA0tNz1TSJY0PZ34tre9zc5vuoqJ6e+rE0w3BW48zr6W7qe+wdgJQZ07nPjiPxcuXBgztexjuj2d85zm0xQix0zT44TXoPFxZPo9X/uO5svcSMdMNwzutjBNOxNm1xSGuvOYF/kknMcZaWoou/Oa2sjOaPvpfXN0utvbmc8UcLhxhXnNZFoQ2G2t+5lpdeGui+bD1IyMmRcgufmIHyim648gznWZnH/irfy+T5kyxZqbByYxU7O5zWze4133gUQhiHs8jTeoc11Q+7x33XO5b09klss+nyi+dMcFea4L4vdN8x3EuS6o3zfNT5jnulx+39I91yXuHM6cTQkIBC2gfZI4wekD0fnu/dSn4z/5yU/sE2RtcpToTcn6Ypx77rnH9lOky2p/dN5+qrzNkbQae6rgnUefOjshqHic+JJ9aq1SfSOuvmThe9/7nq2RoDXn4oO+1VHfbusEbRbivIFcxwURTz7X21kPPtMTSPc4ShSb9hGmb/vUoG8h9nvhgrNsUPtBUPE4+cr0UzvT9zbBS1UbVeOP0nko0/Vl/tQC6R5Her7V2iMatGmn9iemzXi1Zrc+7dauMbS/PP3NGj16tLzuda+z8zqf+iWo/T+oeGwG0/invzNOVwb6sh09X2hzVn1z9b333ivTpk0TU9gq+vup5xMneNed48hRicZnuvt9NHKbWS6C2Ne0Cw8nJOpWypnmfDp9bWot0z179jijA/sM+5jX2rdao1a7ytKabXr9qcevdtdxyy23iKmwENi65DsirYlqCq3s+UnT1i4YtLZpfNBtpzWsNGiT/1Q1cZ1trvN7+zLV70GFMLe7xq2tBrRGqtYG0y5pPvCBD9isa21arW3tvKciqPUpRDxRPNfpPqktKjXouy6S3Qv7mQVxj6dxn03nuo6wzwfx+3a2nevy8ftG036/MxXjAxdwftS0uZS+MMovvPnNb7YvVvKb7ozXl8WYJwaiL67S4G06oy9lcoLT36rzPdGndx5tVuWEoOJx4kv2qTesV1xxRbJZ3Gn65lC9edeq/trk9E9/+pN9CZXOEEQ8+Vxvd6UYSEsg3eMoUWTaFNEJiW4onGnOZ1D7QVDxOPnK9FMfyDg3udrnXbI+mp24o3QecvLEZ3ACmRxH2nRNm1JpYakGbe6rf95w1VVXyQ9+8AO3IDWM35F8H0fapFn7h9QC05deeskWtuhvrjdo1ztasKovhVy/fr2d5F13jiOvVuGHM9nvC5/bzHIQxL7mLRgzNYDsS7aS5UILH52gy1500UX2q/b36n1A78yjn3qNpje02rdh/HnEO58Oh33Mex96aFrXX3+97avW1OaTU6dOib6cQ2/gtc/UYgr6wMd7rjItt9p8966L9neq66pBHzSbWmTeyUmHvfuLzqgPnEwlq3bL6AM3zYMGvVdJ1Cem98WXYW53vXdyztFaWUO7JtA+gfUN8vobpt3UmJpc7vm83coUyYioneu0sP6mm26yetqtlnblkE0I4h5P0/Xuu7mc69jns9mKmS8TxO9bUOe6oH7fVCHMc10+ft+okZr5vswSWQjo02390xDUi2M0Li0UcYL3Caq+JMQJ3gtdZ1z8p3ce75tpg4onPr0gvvute6ZxJ4onyuud6fp1pPlzOY70olI7W9egPy5ODYRkPkHtB95jynus+aXtnce7rN/8qcY7BWA6XxhvpE10DGlaQflpXITgBDI9jnQf1AJF7R9Pa2XqG7udoP126w271jLRwkan8MS5UdX5gtoPvMeC9xhx8hL/6Z3Hu2z8fMm+aw1c/W3Vl7N5X8qoN+CmSZ+YrjdsrdS9e/e60XjX3R2ZxgDHURpIOcyS6X6fQ1KRX9RvX9OXLjlBfzP/+te/Jv3TByxO0H77vUELrBL9OS2NtOAs0XQd54Sgzh1OfOl8aiGfvmjJCVqYWixBz7/6kFjPyRrUUvsEdL7bkXH/vNvcdM+QdHs7+4MTRfw2T2eb6u9Hou3u7Bcat/d87T2PO+nGf3rn8S4bP1+y71pDUlv7adDCsfg+VJMtG7VpUTvX6YMTLTjV80VVVZWt7a0F1vF/3u2ohfvOdG+rw0ytwz7XBbXPF+Jc15H2ee9+kc42z/Vcl+gcpuOc81g6+4Xm2Xu+8u7/3vXxDnvn8S7rnSfZcNC/b6/eDSRLlWkI5CigzeW1ar3WntSDN6igT471oNUnwHoT6wSt9aoFtvp0WZsspQreefTG2AlBxePEF+Snt0mIdm2QbUgUT5TXO9v17AjL5XIc/exnP3NfCKPN3fSpdqoQ1H7Qv39/NynvseaOjBtw5tEbDr3ozCXoueH++++3Uei5wvTHk0t0CZcN+zyUMFFGZi2Q7XH0yU9+UvRPWzCY/rzsy5d02+sFowZ92u8E7wtqiv040qaua9assaumx6Y2C+3bt2+bC2Bn3fVC2vQP6zBk9MlxlBFXxjNnu99nnFARLOC3r2kNaydo4Vsmvz/pdAXgxJ3uZ1DnjnTTc+bTF7xq034N3pprzvQofuoNttb00zeia9BtqW8l93Y7kijf3m2uzfYzqSnobYKfKO5sxxXimklfJqgvGfzd735ns60FzKm6Och2/cJeLmrnOr1H01YbGvReVWsXpgp63epcu+rLlvWhZTYh0T2exuPd78/Wc11H2ue9+0Y6v29n87kuyN83ClK9ex7DoQloAUb37t3t249TFfrpxZC+oV6fKHrfHJwoc3pT5zSj8d646rzat6oWpGp8WrPAW5smPi7vhWJ8E6ag4olPM/67PknXfOqfeclWygt458ZV4xkwYIAbXVDx5Gu93YwzkFIgk+MoPjJtfuuETAoTg9gPNA4neGt/OOO8n/qwxdm39fjXC+JcwhNPPGFrmGgcl156adp9UkXtPJSLAcu2FcjlONKYdJ80LylqG6n5pm/hdsLll1/uDNrPYj+OnJXRN3rrnzfoMWteUGJHaY3d+JolUfo99+b7bBvOdb+PulcQ52y9ltK+6jXojWY6LTfCdgni3KH9hGutcW1erMNjx45Nmm29XneC9qEa9aD3Fdpfs3mBps2qFgCaFwOKdlGQKnivn3XemTNnplok9OlBXTNpH6h6zaXbXfs+9W7XRCvhnV4M2z3ROui4jnyuC+oer6Oe6zrqPh/U75v3mOko57pC/r79sxqFV5VhBEIScJ5sam0evx9op9mDFopqHxzevksTZUv7BnWC9vPjDbq8E5wmzc73+M/HH3/cHeVdTkd6v+cSj5uAz4C+AEdr0WqVfPN2Wp+5Xh3tt+5BxZOv9X51jRhKRyCd4yg+Hn3Y4DwN12nebRs/b/x377zZ7v+6Tzs1YFPFsXXrVrfWujft+Hyl+33z5s3urOnGF8XzkLsSDAQikO5xpP3r6osNtcaG04+eXwacJrB6ExdfO82776U6Bvx+j/J5HGmTQu1T+Rvf+Ib8/Oc/91tlO/6BBx6wL3zUL94CZI6jpGwFmZjufl+QzOWQaFD7mrdQ7Q9/+EPKHGk/9VqD7+DBg+5D/ZQLZThDEOcObQmmhXPmbdi2VYYWxiQLTz31lDs50UMjd2IEBvRcpQXDTiGqNt3UbZJOIapmXytZOH3paTcm+mAoWTh+/Lj84he/kGeeecbtsizZ/NlMC+pcry/ZvOSSS2zXLN///vdTZqWYtnuqlYnSuU5rf37hC19I+Tdjxgx3tfR4dZbx1pIO6h6vo57rOuI+H9TvW0c91xX0983cYBMQyIuAeRmH9sBu/0wNUN80zQ2oO59pjuw7n04w1bPdec1FQpt5zQWuO828kKrNNO8XU/stZprn2HnNBYd3kh0OKp52EceNMM2R3PyaC9eYecISN8erXx977DF3XvNyg5i5KHYnBhVP0OttCiLcPJvakW5+GchMIN3jyBurKXR37U0zH++klMNB7Qd6DDrHv7lB9U33hhtucOczL6/xnS/dCaZvRzc+86bxdBeLRe085GSc48iRyO0z3eNo0aJF7v7z6KOP+iZaV1fnzmdqsbWbr9iOI3PhHjNvB7brZGpyt1sf74grr7zSXff6+nrvpMgeR865SH9rz6aQ7n6fysQ0HbTb3Lw4NNWsOU03b5F39y3zgDlpXEGcs3X/dfYN82A7ZmoB+aZpCtRipgafO78phPKd1zvBdFljlzHN0L2jfYeDOneYGptuXlP9tuo5zHH49re/7Zu3bCYEve+YFjZuXk2LsphpOp1xtkx/z24cy5YtS7q8Kahx59Xri3TC1772NXeZhoaGdBaJBXHNZB4EuumqTbKg+755CGjn130/USim648gznWZnH8SeWU6znQZ5G4v3a8ThaDu8cI+12Wzzwdxrgt6n0+0DdIdF+S5LojfN8132Oe6TH/fNE9BnOuC/n1L91ynT1AJCORF4NZbb3V/IOILPb0Z+PrXv+7Op4U+hw4d8k52h++88053PvMG+4QFj+aJtJ1HLw5M7Rp3WWdAL4TNE3o3HvNCEWdSm88g4jFdFcRMM2P3z3Q+3iYNnW7643Lz4ncxZ2o+xN761re688UXSgYVj2YuiPV2VjLdk5IzP5+JBdI9jrxLawGic1M0fvx476S0hoPYD0wzOzcPekFv+llsl7Z5wYH7UMPUKkl4TKc6juIj1XOIs+6mtmv8ZN/vUTwPaWY5jnw3WUYT0j2OTO1Rd/+54oorYvHnbU1UH8aZfkHd+UwT/4R5KbbjSNdXjx39/dSHd4mC92bJvJiq3SxRPY6cc8LZVpCa7n7fbkPGjcjkBlGPD+faxzQvj4sp+ddMCjKC2tc+/OEPu8fy9OnT2zyo9ubWNIt059ObuHSD/s5pQabfeSJRPEGcO0zNeje/po/jmGkCmyipmHc+/f2M/63O9Dc4PpFM9h1TO9Tdd3QfMq0C2kRnumFw18nUQIyZFyS1mZ7uF1ObNWb6d7ZxmbdIx/wKO7Wgy3udroU26QStPKLbXP+SFc574wrimkn9TFdhrtEdd9zhTcId1vss06rPnc/v/qOYrj+CONdlcv5RzFzOdbp8OgWpQd7jhXmuy2afV4Ncz3VB7vP5PNel2neC+n0L+1yXze9bEOc67+9WLr9vug9qSPdcR0HqP734nwcBb60403zBN0U9CXqfvJhOuWMPPvhgTGvI6DR9YvWJT3zC/cE3/dXFNm7cmDA+rSXkPGE1LwSJ6U2f6SvIXoyZ5pMx02eQG8873/nOhDfJGnEQ8Xh/IPUmzryFsV2e9QTkzW9NTY3Nr9ZO1QJU03F+zLwMy82zX6FYUPEEsd7OSqZ7UnLm5zOxQLrHkXfp+fPnu/vM5z73Oe+ktIaD2g+8T0K1AOPXv/51TC9U9u/fH9MLfKdmuB6rfjVm0jmOnJUyXYi4663HVaJjzpk3/jOK5yHNI8dR/JbK7nu6x5EWnHpbPuiNx86dO20h//+3d/esrhVdAID3C29joXIbsRNrsdFGrLQTLK1uI4iFKAiChYWIaKOdIFr7gf/BUmsrOxtF0MbKXyDknbVl8ubmJDl7r+xzTpL1BDT35mZ2Zp41M3uysj9i4fvVV1+tnnzyyXU/e+utt/ZW6NzGURyBG2Mx9lftlLBV/AAaY6idRrX68ccfV7Ef7wnJdtOG1S+//HKl7ac6jnq9qyVSp/b7K4HcemFOMmyzn0Rics5jTiJjqb72xx9/rNrdy9d9O9aj7UYvY+Ixzv5p1wNe3b9/f/3v8d45P9LNaX9/7xJzR6wjN/fB7dThVbtsxyr2k2EX7Wo301u3K8Z+jPPtx5x98HbZ+PucvvPXX3+t6xNjNtYK/RHzUJyR1cdyO1V59fLLL0/6Lw7E2H68/fbb623F94p2WZP1XB/J5PhBOpK1/fOmHlG8/Tlz/r4Zr+yaKX4M7EniOFrs3XffHRN+UY92/epVu5HgKo5A7e2KHwX2nRF3TuuPJea6OfNPeB4z10X5zbG174jUeN9S3/Euda5bqs9vxiPGx5zvEBGnOXPddX1nqf1b1OsS57ql9m/hE4+pc51E6r9e/n9LAu1OlOPOOo42O/SIxVK7Tup6xx4TWCRC+qmGfYffbnox/lp9aFuxSGjXp3lgWz1h07cTydp2k6dDmxkXG8dsZ+qE/Mknn6wXPb1+sajrf+7PMRHGxLrvsdR2lvKbOinta4/X/y8wdRz1Eu36Suv+8+233/aXZz0v0Q/ilLt2LbN1XaIvb4/FeO2zzz7bW7ep4yg28Ntvv60/K44YnPs4xXnIOJobxf3vnzqO2k0LH/gBK/pou+bvum/1Ofm1117b+wW01+LcxtGHH374QDt37Yfv3bu3OnS5jlMcRz1m1RKp0Q+n9vveZ3c9L/kFcdf2+2tzExlL9bX4kW/zbIboL9H3+2mLvf/E/uv777/v1b3R5yXmjljnthvCPTCmI2G6vbZ+5JFHxsThrgbN2QfvKj+n7xxKpEYSuMdh7vPrr79+pWqRJNm8tFDf5rZNvB7JxnYPhyvbWPqFJdZMUacvv/zyylpr1/eKaNeho3rPbf1x7Fw3d/65Lhl2Xf/YHFuHEqmxnaW+413qXLdEn9+MR4z7u0ykRsyX2r9d6ly3xP4tnOMxda6TSP3Xy/9vSeCdd94ZFz6xIP3zzz8Pfmr82hyHsj/66KNXFktxdEwcGRRHaU55tAvIr+L6p/1X2c0FUtSp3fFzymZWx2xnzoQch96/+OKLV9odi/hYBH/zzTeT6rvUdo5pd6/o1Empv9/zfoE54yi2Eovj3ucPJTz2f+K//7JEP4gj/OK6k3EEW69Tf3766afHX9oP1WPOONq8VlJcLyvzOLV5yDjKRHF3mTnjKBZob7755pV9SPTd6LdxWZh9R/Fsf/q5jaM4I2T7h81odyST46yJ6/bl0f5TG0d9zqmYSJ3T77f7bv/7nGTYMcmFuYmMJftanIL9xhtvrOKHgt5f+nOsJV999dXxiMVuchvPS8wd8QN8/Fi5a20dieFXXnnlgSM/t9s1Zx+8XTb+PqfvHEqkxunnPR5zn3clUntd40j8mNO3vy/EZ0RiLo5MPXQQQ9/OUs/Hrpl6PeIIzc214KZZnP4/5Uf2c1t/HDvXzZ1/jpnrIk6bY+u6RGq8f6nveJc61x3b5zfjEePlrhOpEfMl11KXONcdu38L43hMnev+E29uncODwK0IxF0u406E7Qvn8PHHHw8ffPDBtZ8b722nUK7vkPnMM88MTzzxxLXldr0h7rb5888/D+10hqEdoTa004KGtpjc9daDrx2znZYAHtovgEP7pXloCeWDn9N2bmO725F1Y5vbl77hoYceOlhm1z8utZ1j2v3RRx8NbWIaq9eu6zq0i0vvqqrXJghkxtGEzU5+yzH9YPNDfv/996FdqmPs03EH0XaK9NCOjtl8y94/zxlHezcy4x9OZR4yjmYE7Zq3ZsbR5lzafgwYWoJxaNdjunYu31WVcxpHm/2/XVtxaGdxDDFmH3744V1N2/va5nbaZT2Gu9qf931v7FNjDqr0yPT7c/RZsq+1o9KHdt3MoZ0GP64dY/04t+8vabjE3BE+7VJXQ7skx3j3+aeeemoc0y2ZOqmqt70PnlSpBd/UjjgdWiJlaNd6HOJu1xHzlgSevEZZsCrrTR2zZuobifm7JZiG+F7REqhDxP2xxx7r/3zw+dzWH1Xmus11SXw/zn5XjOBf4lx3TJ8Pk1Oc65bcv13iXHfs/m3qXCeRGiPE41YF2q9sQztFafzyGYu4/oXmVitxhx/WThcbFy7tdLA7rMXtf/TUSen2a3aen2gcGUd+kDh+7BpHNcdRX3dUTKTGqKne74+fOWyh6lq2cuTPcR1vrqvcY5dpu7luGcdz2srUuW7aoT/n1HJ1PXmB999/f0yetru3jkdmnnyFF6xgu6vc0E6DHJ5//vkFt2pTFQWMI+OoYr9fus3GkXG0dJ86h+1V7vfnEAtXVfgAAA7fSURBVJ9Tr6O17KlHSP26gLmuS3jOCJjrMmp1ykik1on1ybS0XXtoaHe7HOvz6aefnky9broiv/7669CuJze062oN77333k1/nO1fuIBxZBxdeBe/leYZR8bRrXS0E/uQqv3+xMJwltWxlj3LsJWttLmubOiPbri57mjCi9+AU/svPsSn2cB2Afnx9Pa///57iFPcX3rppdOs6MK1+uGHH4Z2E6mFt3q6m4vr6LW7DI4V/Oeff4Z20fzxz05JXiZmxtEyjqe+FePoZiNkHN2s7yls/euvvx7ajUDWVWk3bBj/XPXU/mh81X6/7gT+kBaotpZNQ11AwUtYf5jrLqAj3lETzHV3BH8HH5uZ6xyRegeB8pHD8Pjjjw9ffPHFSBFHZ8ZFgSs8KiVRI57xZbX/15OoFeJ8W200jm5L+m4/p4+heDaOlo+FcbS86altMcbN5jg6tfrdRX2q9vu7sL60z6y2lr20+M1pz+a8ea7rD3PdnIh776aAuW5T47L/nJnr/nvZJFp3ygL3798ffvrpp/FOqPH83HPPnXJ11S0h8Pnnnw9xd9ntx7PPPrv9kr8nBYyjJNwZFTOObj5YxtHNG9/lJ7zwwgvDd999d6UK9+7du/JapRf0+0rR1lYC8wUuZf1hrpsfeyUIVBLIzHVO7a/UQ7SVAAECBAgQIECAAAECBAgQIECAAIGUgFP7U2wKESBAgAABAgQIECBAgAABAgQIECBQSUAitVK0tZUAAQIECBAgQIAAAQIECBAgQIAAgZSARGqKTSECBAgQIECAAAECBAgQIECAAAECBCoJSKRWira2EiBAgAABAgQIECBAgAABAgQIECCQEpBITbEpRIAAAQIECBAgQIAAAQIECBAgQIBAJQGJ1ErR1lYCBAgQIECAAAECBAgQIECAAAECBFICEqkpNoUIECBAgAABAgQIECBAgAABAgQIEKgkIJFaKdraSoAAAQIECBAgQIAAAQIECBAgQIBASkAiNcWmEAECBAgQIECAAAECBAgQIECAAAEClQQkUitFW1sJECBAgAABAgQIECBAgAABAgQIEEgJSKSm2BQiQIAAAQIECBAgQIAAAQIECBAgQKCSgERqpWhrKwECBAgQIECAAAECBAgQIECAAAECKQGJ1BSbQgQIECBAgAABAgQIECBAgAABAgQIVBKQSK0UbW0lQIAAAQIECBAgQIAAAQIECBAgQCAlIJGaYlOIAAECBAgQIECAAAECBAgQIECAAIFKAhKplaKtrQQIECBAgAABAgQIECBAgAABAgQIpAQkUlNsChEgQIAAAQIECBAgQIAAAQIECBAgUElAIrVStLWVAAECBAgQIECAAAECBAgQIECAAIGUgERqik0hAgQIECBAgAABAgQIECBAgAABAgQqCUikVoq2thIgQIAAAQIECBAgQIAAAQIECBAgkBKQSE2xKUSAAAECBAgQIECAAAECBAgQIECAQCUBidRK0dZWAgQIECBAgAABAgQIECBAgAABAgRSAhKpKTaFCBAgQIAAAQIECBAgQIAAAQIECBCoJCCRWina2kqAAAECBAgQIECAAAECBAgQIECAQEpAIjXFphABAgQIECBAgAABAgQIECBAgAABApUEJFIrRVtbCRAgQIAAAQIECBAgQIAAAQIECBBICUikptgUIkCAAAECBAgQIECAAAECBAgQIECgkoBEaqVoaysBAgQIECBAgAABAgQIECBAgAABAikBidQUm0IECBAgQIAAAQIECBAgQIAAAQIECFQSkEitFG1tJUCAAAECBAgQIECAAAECBAgQIEAgJSCRmmJTiAABAgQIECBAgAABAgQIECBAgACBSgISqZWira0ECBAgQIAAAQIECBAgQIAAAQIECKQEJFJTbAoRIECAAAECBAgQIECAAAECBAgQIFBJQCK1UrS1lQABAgQIECBAgAABAgQIECBAgACBlIBEaopNIQIECBAgQIAAAQIECBAgQIAAAQIEKglIpFaKtrYSIECAAAECBAgQIECAAAECBAgQIJASkEhNsSlEgAABAgQIECBAgAABAgQIECBAgEAlAYnUStHWVgIECBAgQIAAAQIECBAgQIAAAQIEUgISqSk2hQgQIECAAAECBAgQIECAAAECBAgQqCQgkVop2tpKgAABAgQIECBAgAABAgQIECBAgEBKQCI1xaYQAQIECBAgQIAAAQIECBAgQIAAAQKVBCRSK0VbWwkQIECAAAECBAgQIECAAAECBAgQSAlIpKbYFCJAgAABAgQIECBAgAABAgQIECBAoJKARGqlaGsrAQIECBAgQIAAAQIECBAgQIAAAQIpAYnUFJtCBAgQIECAAAECBAgQIECAAAECBAhUEpBIrRRtbSVAgAABAgQIECBAgAABAgQIECBAICUgkZpiU4gAAQIECBAgQIAAAQIECBAgQIAAgUoCEqmVoq2tBAgQIECAAAECBAgQIECAAAECBAikBCRSU2wKESBAgAABAgQIECBAgAABAgQIECBQSUAitVK0tZUAAQIECBAgQIAAAQIECBAgQIAAgZSARGqKTSECBAgQIECAAAECBAgQIECAAAECBCoJSKRWira2EiBAgAABAgQIECBAgAABAgQIECCQEpBITbEpRIAAAQIECBAgQIAAAQIECBAgQIBAJQGJ1ErR1lYCBAgQIECAAAECBAgQIECAAAECBFICEqkpNoUIECBAgAABAgQIECBAgAABAgQIEKgkIJFaKdraSoAAAQIECBAgQIAAAQIECBAgQIBASkAiNcWmEAECBAgQIECAAAECBAgQIECAAAEClQQkUitFW1sJECBAgAABAgQIECBAgAABAgQIEEgJSKSm2BQiQIAAAQIECBAgQIAAAQIECBAgQKCSgERqpWhrKwECBAgQIECAAAECBAgQIECAAAECKQGJ1BSbQgQIECBAgAABAgQIECBAgAABAgQIVBKQSK0UbW0lQIAAAQIECBAgQIAAAQIECBAgQCAlIJGaYlOIAAECBAgQIECAAAECBAgQIECAAIFKAhKplaKtrQQIECBAgAABAgQIECBAgAABAgQIpAQkUlNsChEgQIAAAQIECBAgQIAAAQIECBAgUElAIrVStLWVAAECBAgQIECAAAECBAgQIECAAIGUgERqik0hAgQIECBAgAABAgQIECBAgAABAgQqCUikVoq2thIgQIAAAQIECBAgQIAAAQIECBAgkBKQSE2xKUSAAAECBAgQIECAAAECBAgQIECAQCUBidRK0dZWAgQIECBAgAABAgQIECBAgAABAgRSAhKpKTaFCBAgQIAAAQIECBAgQIAAAQIECBCoJCCRWina2kqAAAECBAgQIECAAAECBAgQIECAQEpAIjXFphABAgQIECBAgAABAgQIECBAgAABApUEJFIrRVtbCRAgQIAAAQIECBAgQIAAAQIECBBICUikptgUIkCAAAECBAgQIECAAAECBAgQIECgkoBEaqVoaysBAgQIECBAgAABAgQIECBAgAABAikBidQUm0IECBAgQIAAAQIECBAgQIAAAQIECFQSkEitFG1tJUCAAAECBAgQIECAAAECBAgQIEAgJSCRmmJTiAABAgQIECBAgAABAgQIECBAgACBSgISqZWira0ECBAgQIAAAQIECBAgQIAAAQIECKQEJFJTbAoRIECAAAECBAgQIECAAAECBAgQIFBJQCK1UrS1lQABAgQIECBAgAABAgQIECBAgACBlIBEaopNIQIECBAgQIAAAQIECBAgQIAAAQIEKglIpFaKtrYSIECAAAECBAgQIECAAAECBAgQIJASkEhNsSlEgAABAgQIECBAgAABAgQIECBAgEAlAYnUStHWVgIECBAgQIAAAQIECBAgQIAAAQIEUgISqSk2hQgQIECAAAECBAgQIECAAAECBAgQqCQgkVop2tpKgAABAgQIECBAgAABAgQIECBAgEBKQCI1xaYQAQIECBAgQIAAAQIECBAgQIAAAQKVBCRSK0VbWwkQIECAAAECBAgQIECAAAECBAgQSAlIpKbYFCJAgAABAgQIECBAgAABAgQIECBAoJKARGqlaGsrAQIECBAgQIAAAQIECBAgQIAAAQIpAYnUFJtCBAgQIECAAAECBAgQIECAAAECBAhUEpBIrRRtbSVAgAABAgQIECBAgAABAgQIECBAICUgkZpiU4gAAQIECBAgQIAAAQIECBAgQIAAgUoCEqmVoq2tBAgQIECAAAECBAgQIECAAAECBAikBCRSU2wKESBAgAABAgQIECBAgAABAgQIECBQSUAitVK0tZUAAQIECBAgQIAAAQIECBAgQIAAgZSARGqKTSECBAgQIECAAAECBAgQIECAAAECBCoJSKRWira2EiBAgAABAgQIECBAgAABAgQIECCQEpBITbEpRIAAAQIECBAgQIAAAQIECBAgQIBAJQGJ1ErR1lYCBAgQIECAAAECBAgQIECAAAECBFICEqkpNoUIECBAgAABAgQIECBAgAABAgQIEKgkIJFaKdraSoAAAQIECBAgQIAAAQIECBAgQIBASkAiNcWmEAECBAgQIECAAAECBAgQIECAAAEClQQkUitFW1sJECBAgAABAgQIECBAgAABAgQIEEgJSKSm2BQiQIAAAQIECBAgQIAAAQIECBAgQKCSgERqpWhrKwECBAgQIECAAAECBAgQIECAAAECKQGJ1BSbQgQIECBAgAABAgQIECBAgAABAgQIVBKQSK0UbW0lQIAAAQIECBAgQIAAAQIECBAgQCAlIJGaYlOIAAECBAgQIECAAAECBAgQIECAAIFKAhKplaKtrQQIECBAgAABAgQIECBAgAABAgQIpAQkUlNsChEgQIAAAQIECBAgQIAAAQIECBAgUElAIrVStLWVAAECBAgQIECAAAECBAgQIECAAIGUgERqik0hAgQIECBAgAABAgQIECBAgAABAgQqCUikVoq2thIgQIAAAQIECBAgQIAAAQIECBAgkBKQSE2xKUSAAAECBAgQIECAAAECBAgQIECAQCUBidRK0dZWAgQIECBAgAABAgQIECBAgAABAgRSAv8DxMtdM9tKtUAAAAAASUVORK5CYII=)
# Statistics
min(post.bills)
[1] 933
mean(post.bills)
[1] 1135
median(post.bills)
[1] 1132
max(post.bills)
[1] 1427
Model 3 – Listen to the Banker
N.draw = 500000 # number of replicates
x = 500 # number of bills marked in the initial capture
y = 300 # number of bills sampled in the second capture
w = 127 # number of marked bills in the sample
u = 0.9 # probability that marked bills will be retired
banker.mean = 1000
upper.limit = 1500 # maximum (theoretical) number of bills
bin.width = 50 # for plotting the posterio
# Defining and drawing from the prior distribution
N.bills = rnbinom(N.draw, mu = banker.mean - x, size = w) + x # number of marked bills in each experiment, using the banker's experience
barplot(table(cut(N.bills, seq(x, upper.limit, bin.width)))/ length(N.bills), col = "gray")
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABVIAAANJCAYAAADugsccAAAEGWlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPrtzZyMkzlNsNIV0qD8NJQ2TVjShtLp/3d02bpZJNtoi6GT27s6Yyc44M7v9oU9FUHwx6psUxL+3gCAo9Q/bPrQvlQol2tQgKD60+INQ6Ium65k7M5lpurHeZe58853vnnvuuWfvBei5qliWkRQBFpquLRcy4nOHj4g9K5CEh6AXBqFXUR0rXalMAjZPC3e1W99Dwntf2dXd/p+tt0YdFSBxH2Kz5qgLiI8B8KdVy3YBevqRHz/qWh72Yui3MUDEL3q44WPXw3M+fo1pZuQs4tOIBVVTaoiXEI/MxfhGDPsxsNZfoE1q66ro5aJim3XdoLFw72H+n23BaIXzbcOnz5mfPoTvYVz7KzUl5+FRxEuqkp9G/Ajia219thzg25abkRE/BpDc3pqvphHvRFys2weqvp+krbWKIX7nhDbzLOItiM8358pTwdirqpPFnMF2xLc1WvLyOwTAibpbmvHHcvttU57y5+XqNZrLe3lE/Pq8eUj2fXKfOe3pfOjzhJYtB/yll5SDFcSDiH+hRkH25+L+sdxKEAMZahrlSX8ukqMOWy/jXW2m6M9LDBc31B9LFuv6gVKg/0Szi3KAr1kGq1GMjU/aLbnq6/lRxc4XfJ98hTargX++DbMJBSiYMIe9Ck1YAxFkKEAG3xbYaKmDDgYyFK0UGYpfoWYXG+fAPPI6tJnNwb7ClP7IyF+D+bjOtCpkhz6CFrIa/I6sFtNl8auFXGMTP34sNwI/JhkgEtmDz14ySfaRcTIBInmKPE32kxyyE2Tv+thKbEVePDfW/byMM1Kmm0XdObS7oGD/MypMXFPXrCwOtoYjyyn7BV29/MZfsVzpLDdRtuIZnbpXzvlf+ev8MvYr/Gqk4H/kV/G3csdazLuyTMPsbFhzd1UabQbjFvDRmcWJxR3zcfHkVw9GfpbJmeev9F08WW8uDkaslwX6avlWGU6NRKz0g/SHtCy9J30o/ca9zX3Kfc19zn3BXQKRO8ud477hLnAfc1/G9mrzGlrfexZ5GLdn6ZZrrEohI2wVHhZywjbhUWEy8icMCGNCUdiBlq3r+xafL549HQ5jH+an+1y+LlYBifuxAvRN/lVVVOlwlCkdVm9NOL5BE4wkQ2SMlDZU97hX86EilU/lUmkQUztTE6mx1EEPh7OmdqBtAvv8HdWpbrJS6tJj3n0CWdM6busNzRV3S9KTYhqvNiqWmuroiKgYhshMjmhTh9ptWhsF7970j/SbMrsPE1suR5z7DMC+P/Hs+y7ijrQAlhyAgccjbhjPygfeBTjzhNqy28EdkUh8C+DU9+z2v/oyeH791OncxHOs5y2AtTc7nb/f73TWPkD/qwBnjX8BoJ98VQNcC+8AAEAASURBVHgB7N1/kFV3eT/wB7rb3TW4GHC7ICEDYqmJ8iOSlNqMRsWkEQjYxtrUqVF0rFHQhl/TBJ36I0PGaYOJGVvZzmRSsZs0GaeTCJQ4OrFBYXdIHNKAtQEqWTfSoBbIrpAFNrtfz/k2t0ka9u7uvffcc+F1Zu7uOfec83w+9/Xcv95zzrljBn+9hIUAAQIECBAgQIAAAQIECBAgQIAAAQIEzigw9ox77CBAgAABAgQIECBAgAABAgQIECBAgACBVECQ6otAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQECQ6jtAgAABAgQIECBAgAABAgQIECBAgACBIgKC1CJAdhMgQIAAAQIECBAgQIAAAQIECBAgQKAOAQECBAgQIECAAIEsBAYGBqKrqyuS/7WyTJo0Kc4777xama55EiBAgAABAgQIVFBgzOCvlwrWV5oAAQIECBAgQIBAKrBy5cq44447akpj6tSpafg7ZsyYmpq3yRIgQIAAAQIECJRfwBWp5TdVkQABAgQIECBA4BUE/vM//zN99zWveU00Nja+whH5euuZZ56J7u7uOHXqVDQ0NORrcmZDgAABAgQIECCQuYAgNXNyAxIgQIAAAQIEzm2BT37yk/G7v/u7uUd43/veF/39/bmfpwkSIECAAAECBAhkI+DHprJxNgoBAgQIECBAgAABAgQIECBAgAABAjUsIEit4eaZOgECBAgQIECAAAECBAgQIECAAAEC2QgIUrNxNgoBAgQIECBAgAABAgQIECBAgAABAjUsIEit4eaZOgECBAgQIECAAAECBAgQIECAAAEC2QgIUrNxNgoBAgQIECBAgAABAgQIECBAgAABAjUsIEit4eaZOgECBAgQIECAAAECBAgQIECAAAEC2QjUZTOMUWpZ4OTJk/HjH/84BgcHS/4YSY0jR47Eu9/97pJrKUCAAAECBAgQIECAAAECBAgQIEAgKwFBalbSNTzORz7ykbjnnnvK+glWr14dt912W1lrKkaAAAECBAgQIECAAAECBAgQIECgUgKC1ErJnkV13/Wud8WTTz4ZAwMDJX+qp59+On7xi19EfX19ybUUIECAAAECBAgQIECAAAECBAgQIJCVgCA1K+kaHuejH/1oJK9yLCtXrow77rgjWltby1FODQIECBAgQIAAAQIECBAgQIAAAQKZCPixqUyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgKC1EyYDUKAAAECBAgQIECAAAECBAgQIECAQC0LCFJruXvmToAAAQIECBAgQIAAAQIECBAgQIBAJgJ1mYxiEAIECBAgQIAAAQJnmcDzzz8fX/ziF+OZZ56pmU/W0NAQf/mXfxlTpkypmTmbKAECBAgQIEAgLwKC1Lx0wjwIECBAgAABAgRqSuCHP/xhGqTW1KR/PdnW1tb4zGc+U2vTNl8CBAgQIECAQNUFBKlVb4EJECBAgAABAgQI1KJAf39/Ou0kmPyjP/qj3H+ERx99NB577LF4Yd65n7AJEiBAgAABAgRyJiBIzVlDTIcAAQIECBAgQKC2BM4///z4gz/4g9xP+siRI2mQmvuJmiABAgQIECBAIKcCfmwqp40xLQIECBAgQIAAAQIECBAgQIAAAQIE8iMgSM1PL8yEAAECBAgQIECAAAECBAgQIECAAIGcCghSc9oY0yJAgAABAgQIECBAgAABAgQIECBAID8CgtT89MJMCBAgQIAAAQIECBAgQIAAAQIECBDIqYAgNaeNMS0CBAgQIECAAAECBAgQIECAAAECBPIjIEjNTy/MhAABAgQIECBAgAABAgQIECBAgACBnAoIUnPaGNMiQIAAAQIECBAgQIAAAQIECBAgQCA/AoLU/PTCTAgQIECAAAECBAgQIECAAAECBAgQyKmAIDWnjTEtAgQIECBAgAABAgQIECBAgAABAgTyIyBIzU8vzIQAAQIECBAgQIAAAQIECBAgQIAAgZwKCFJz2hjTIkCAAAECBAgQIECAAAECBAgQIEAgPwKC1Pz0wkwIECBAgAABAgQIECBAgAABAgQIEMipgCA1p40xLQIECBAgQIAAAQIECBAgQIAAAQIE8iMgSM1PL8yEAAECBAgQIECAAAECBAgQIECAAIGcCtTldF7nzLQOHToUR44ciRMnTqSvxsbGGD9+fDQ3N8fEiRMj2bYQIECAAAECBAgQIECAAAECBAgQIFBdAUFqxv69vb2xadOmaG9vj71790ayfaalrq4uZs2aFfPnz4/FixfHwoULY8yYMWc63PsECBAgQIAAAQIECBAgQIAAAQIECFRIwK39FYJ9ednDhw/H8uXLY8qUKbFixYro6OgYMkRNzu/v74/du3fHxo0b0yB19uzZsXXr1peXtk2AAAECBAgQIECAAAECBAgQIECAQIUFXJFaYeCk/NGjR+PKK6+MPXv2FEZLriydPHlyXHjhhdHS0hJNTU3R0NCQhqd9fX3R09MT3d3d0dXVFSdPnkzPS65gXbJkSWzYsCFuvPHGQi0rBAgQIECAAAECBAgQIECAAAECBAhUVkCQWlnfOH78eCxatKgQol522WWxatWqWLBgQRqgFhv+9OnTsWvXrvRxAHfffXck2ytXroyZM2emt/oXO99+AgQIECBAgAABAgQIECBAgAABAgRKF3Brf+mGQ1a4//7709v4k4Ouu+666OzsTP8nV6EOZ6mvr4/LL7882tra4oEHHohkO1luuummGBgYGE4JxxAgQIAAAQIECBAgQIAAAQIECBAgUKKAILVEwGKn79y5Mz0keb5p8iNTY8eOnjz5sanbbrstrZc8JuDgwYPFhrefAAECBAgQIECAAAECBAgQIECAAIEyCIw+1SvD4OdCiR07dqQf85prrilcTVrK57722msLp+/bt6+wboUAAQIECBAgQIAAAQIECBAgQIAAgcoJCFIrZ5tWfvrpp9P/U6dOLctIEydOLASyzz33XFlqKkKAAAECBAgQIECAAAECBAgQIECAwNACgtShfUreO2PGjLRGR0dHybWSAsmjApIfnEqWSy65JP3vDwECBAgQIECAAAECBAgQIECAAAEClRUQpFbWN+bNm5eOcN9998UjjzxS0mjHjh2L1atXpzUmTJgQ06dPL6mekwkQIECAAAECBAgQIECAAAECBAgQGJ6AIHV4TqM+6uabb05vxe/r64ulS5dGW1tbnDp1asT1Hn/88bjqqqsi+Z8sN9xww4hrOIEAAQIECBAgQIAAAQIECBAgQIAAgdEJ1I3uNGcNVyC5tf/WW2+NtWvXxrPPPpsGoMn6FVdcEXPnzk2vKm1tbY2mpqZobGyM/v7+SELXnp6e6O7ujgMHDsT27dtj7969hSGTQPWWW24pbFshQIAAAQIECBAgQIAAAQIECBAgQKCyAoLUyvqm1desWRPJj0QtX748kh+I6u3tjS1btqSvkQ5/9dVXR3t7e4wd62Likdo5ngABAgQIECBAgAABAgQIECBAgMBoBaRxo5Ub4XnLli2Lrq6uWLduXUyaNGlEZzc0NKSPBdi8eXNs27YtkuejWggQIECAAAECBAgQIECAAAECBAgQyE7AFanZWUdLS0usX78+fT311FPR2dkZ+/fvT2/jT277T65Ura+vj3HjxkVzc3MkjwW4+OKLY86cOel7GU7VUAQIECBAgAABAgQIECBAgAABAgQIvEhAkPoijCxXp02bFsnLQoAAAQIECBAgQIAAAQIECBAgQIBA/gXc2p//HpkhAQIECBAgQIAAAQIECBAgQIAAAQJVFnBFapUbcKbh/+u//isOHDgQx48fj7lz5474uapnqut9AgQIECBAgAABAgQIECBAgAABAgRGLuCK1JGblXTGyZMn48knn4wjR468Yp09e/bE4sWL43Wve128/e1vj/e85z0xefLkmDJlSnz5y1+OwcHBVzzPmwQIECBAgAABAgQIECBAgAABAgQIVE5AkFo525dUPnr0aHz84x+P888/P974xjfGb/3Wb8Xb3va2+NrXvlY4LglRk/B069athfdeWDl06FCsXr06rrrqqnjmmWdeeNt/AgQIECBAgAABAgQIECBAgAABAgQyEHBrfwbIzz33XFxzzTWxY8eOwmjPP/98/OAHP0hfyZuf+MQn4gMf+EAcO3YsPeZVr3pVzJo1K1pbW+NHP/pR/OQnP0mvRv3ud78bH/zgB+M73/lOoZYVAgQIECBAgAABAgQIECBAgAABAgQqK+CK1Mr6RhKY/smf/EkhRH3Na14T73jHO2LevHlRX1+fjv7pT3861q9fH3v37k23k0C1u7s7Ojs748EHH0yfldrR0ZFeyZockISp3/jGN9Jj/SFAgAABAgQIECBAgAABAgQIECBAoPICgtQKG99zzz2xefPmdJTrr78+DUi/973vxWOPPZauv+Utb4n+/v747Gc/mx6zcOHCaG9vjwkTJrxkZvPnz4+dO3emz05Ndtx8880v2W+DAAECBAgQIECAAAECBAgQIECAAIHKCQhSK2ebVk5C0WSZM2dO3HXXXTFu3Lh0O/mT3Lb/0EMPRXIb/wvLhg0bXlj9P/+T56vefvvt6fs/+9nP4uc///n/OcYbBAgQIECAAAECBAgQIECAAAECBAiUX0CQWn7Tl1RMnm+aLH/6p38adXX/95G0LS0t8Wd/9mfpMa9+9avjd37nd9L1M/155zvfWdj1Qu3CG1YIECBAgAABAgQIECBAgAABAgQIEKiIgCC1Iqz/W/SXv/xlunHBBRf875svW7v00kvTd84777wYM2bMy/a+dDMJXhsbG9M3k6tSLQQIECBAgAABAgQIECBAgAABAgQIVF5AkFph42nTpqUjHDhw4IwjJVehTp48OQ4fPhzPPvvsGY9Ldvz0pz+Nvr6+9JgZM2YMeaydBAgQIECAAAECBAgQIECAAAECBAiUR0CQWh7HM1Z54xvfmO5Lno/6q1/96hWPe/vb3x6HDh2KEydOvOQZqq908J133ll4++KLLy6sWyFAgAABAgQIECBAgAABAgQIECBAoHIC//ehnZUb65ys/KEPfSgeeOCB6O7ujqVLl8amTZtiypQpr2jxwi37r7jz128mIepXvvKVdPe73/3uGD9+/JkOLev7yQ9iJfMeGBgoue7u3bvTGsWuvC15IAUIECBAgAABAgQIECBAgAABAgQIlFFAkFpGzFcq9d73vjfe8Y53xL/+67/Gww8/HDNnzox3vetd8fnPfz7mzZv3Sqe85L3kdv9//Md/jPvuuy8effTRdF99fX0aqr7kwApubNy4MR588MGyjrBv376y1lOMAAECBAgQIECAAAECBAgQIECAQCUFBKmV1P2f2v/0T/8U1157bezYsSO9fX/Lli3x6U9/elgjb9++PdasWVM4tq6uLm6//fa46KKLCu9VeqWtrS0+8IEPxODgYMlDff3rX49t27YNK0QueTAFCBAgQIAAAQIECBAgQIAAAQIECJRJQJBaJsihyrS2tsb3vve9+OIXvxhJkJjc5j979uyhTinse/3rX19YTx4JcO+998bb3va2wntZrCTzf//731+WoTo7O9MgdexYj+ctC6giBAgQIECAAAECBAgQIECAAAECmQhIszJhjkhux7/llluiq6srkjAxCSeHs7zhDW+Iv/qrv4of/OAH8dRTT2Ueog5njo4hQIAAAQIECBAgQIAAAQIECBAgcLYLuCI14w6PGTMm5s+fP+xRkx+U+sIXvjDs4x1IgAABAgQIECBAgAABAgQIECBAgED5BVyRWn5TFQkQIECAAAECBAgQIECAAAECBAgQOMsEBKlnWUN9HAIECBAgQIAAAQIECBAgQIAAAQIEyi/g1v7ym1as4unTp+Pw4cOF+hdccEFh3QoBAgQIECBAgAABAgQIECBAgAABApUTEKRWzrbslZ944om49NJLC3UHBwcL61YIECBAgAABAgQIECBAgAABAgQIEKicgFv7K2erMgECBAgQIECAAAECBAgQIECAAAECZ4mAIPUsaaSPQYAAAQIECBAgQIAAAQIECBAgQIBA5QTc2l8527JXnjNnTjzzzDNlr6sgAQIECBAgQIAAAQIECBAgQIAAAQJDCwhSh/bJ1d66urpobW3N1ZxMhgABAgQIECBAgAABAgQIECBAgMC5IODW/nOhyz4jAQIECBAgQIAAAQIECBAgQIAAAQIlCQhSS+JzMgECBAgQIECAAAECBAgQIECAAAEC54KAW/ur3OVDhw7FkSNH4sSJE+mrsbExxo8fH83NzTFx4sRIti0ECBAgQIAAAQIECBAgQIAAAQIECFRXQJCasX9vb29s2rQp2tvbY+/evZFsn2lJnok6a9asmD9/fixevDgWLlwYY8aMOdPh3idAgAABAgQIECBAgAABAgQIECBAoEICbu2vEOzLyx4+fDiWL18eU6ZMiRUrVkRHR8eQIWpyfn9/f+zevTs2btyYBqmzZ8+OrVu3vry0bQIECBAgQIAAAQIECBAgQIAAAQIEKizgitQKAyfljx49GldeeWXs2bOnMFpyZenkyZPjwgsvjJaWlmhqaoqGhoY0PO3r64uenp7o7u6Orq6uOHnyZHpecgXrkiVLYsOGDXHjjTcWalkhQIAAAQIECBAgQIAAAQIECBAgQKCyAoLUyvrG8ePHY9GiRYUQ9bLLLotVq1bFggUL0gC12PCnT5+OXbt2pY8DuPvuuyPZXrlyZcycOTO91b/Y+fYTIECAAAECBAgQIECAAAECBAgQIFC6gFv7SzccssL999+f3safHHTddddFZ2dn+j+5CnU4S319fVx++eXR1tYWDzzwQCTbyXLTTTfFwMDAcEo4hgABAgQIECBAgAABAgQIECBAgACBEgUEqSUCFjt9586d6SHJ802TH5kaO3b05MmPTd12221pveQxAQcPHiw2vP0ECBAgQIAAAQIECBAgQIAAAQIECJRBYPSpXhkGPxdK7NixI/2Y11xzTeFq0lI+97XXXls4fd++fYV1KwQIECBAgAABAgQIECBAgAABAgQIVE5AkFo527Ty008/nf6fOnVqWUaaOHFiIZB97rnnylJTEQIECBAgQIAAAQIECBAgQIAAAQIEhhYQpA7tU/LeGTNmpDU6OjpKrpUUSB4VkPzgVLJccskl6X9/CBAgQIAAAQIECBAgQIAAAQIECBCorIAgtbK+MW/evHSE++67Lx555JGSRjt27FisXr06rTFhwoSYPn16SfWcTIAAAQIECBAgQIAAAQIECBAgQIDA8AQEqcNzGvVRN998c3orfl9fXyxdujTa2tri1KlTI673+OOPx1VXXRXJ/2S54YYbRlzDCQQIECBAgAABAgQIECBAgAABAgQIjE6gbnSnOWu4Asmt/bfeemusXbs2nn322TQATdavuOKKmDt3bnpVaWtrazQ1NUVjY2P09/dHErr29PREd3d3HDhwILZv3x579+4tDJkEqrfcckth2woBAgQIECBAgAABAgQIECBAgAABApUVEKRW1jetvmbNmkh+JGr58uWR/EBUb29vbNmyJX2NdPirr7462tvbY+xYFxOP1M7xBAgQIECAAAECBAgQIECAAAECBEYrII0brdwIz1u2bFl0dXXFunXrYtKkSSM6u6GhIX0swObNm2Pbtm2RPB/VQoAAAQIECBAgQIAAAQIECBAgQIBAdgKuSM3OOlpaWmL9+vXp66mnnorOzs7Yv39/eht/ctt/cqVqfX19jBs3LpqbmyN5LMDFF18cc+bMSd/LcKqGIkCAAAECBAgQIECAAAECBAgQIEDgRQKC1BdhZLk6bdq0SF4WAgQIECBAgAABAgQIECBAgAABAgTyL+DW/vz3yAwJECBAgAABAgQIECBAgAABAgQIEKiygCC1yg0wPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOa/R2ZIgAABAgQIECBAgAABAgQIECBAgECVBQSpVW6A4QkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/PTJDAgQIECBAgAABAgQIECBAgAABAgSqLCBIrXIDDE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn575EZEiBAgAABAgQIECBAgAABAgQIECBQZQFBapUbYHgCBAgQIECAAAECBAgQIECAAAECBPIvIEjNf4/MkAABAgQIECBAgAABAgQIECBAgACBKgsIUqvcAMMTIECAAAECBAgQIECAAAECBAgQIJB/AUFq/ntkhgQIECBAgAABAgQIECBAgAABAgQIVFlAkFrlBhieAAECBAgQIECAAAECBAgQIECAAIH8CwhS898jMyRAgAABAgQIECBAgAABAgQIECBAoMoCgtQqN8DwBAgQIECAAAECBAgQIECAAAECBAjkX0CQmv8emSEBAgQIECBAgAABAgQIECBAgAABAlUWEKRWuQGGJ0CAAAECBAgQIECAAAECBAgQIEAg/wKC1Pz3yAwJECBAgAABAgQIECBAgAABAgQIEKiygCC1yg0wPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOa/R2ZIgAABAgQIECBAgAABAgQIECBAgECVBQSpVW6A4QkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/PTJDAgQIECBAgAABAgQIECBAgAABAgSqLCBIrXIDDE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn575EZEiBAgAABAgQIECBAgAABAgQIECBQZQFBapUbYHgCBAgQIECAAAECBAgQIECAAAECBPIvIEjNf4/MkAABAgQIECBAgAABAgQIECBAgACBKgsIUqvcAMMTIECAAAECBAgQIECAAAECBAgQIJB/AUFq/ntkhgQIECBAgAABAgQIECBAgAABAgQIVFlAkFrlBhieAAECBAgQIECAAAECBAgQIECAAIH8CwhS898jMyRAgAABAgQIECBAgAABAgQIECBAoMoCgtQqN8DwBAgQIECAAAECBAgQIECAAAECBAjkX0CQmv8emSEBAgQIECBAgAABAgQIECBAgAABAlUWEKRWuQGGJ0CAAAECBAgQIECAAAECBAgQIEAg/wKC1Pz3yAwJECBAgAABAgQIECBAgAABAgQIEKiygCC1yg0wPAECBAgQIECAAAECBAgQIECAAAEC+RcQpOa/R2ZIgAABAgQIECBAgAABAgQIECBAgECVBQSpVW6A4QkQIECAAAECBAgQIECAAAECBAgQyL+AIDX/PTJDAgQIECBAgAABAgQIECBAgAABAgSqLCBIrXIDDE+AAAECBAgQIECAAAECBAgQIECAQP4FBKn575EZEiBAgAABAgQIECBAgAABAgQIECBQZQFBapUbYHgCBAgQIECAAAECBAgQIECAAAECBPIvIEjNf4/MkAABAgQIECBAgAABAgQIECBAgACBKgsIUqvcAMMTIECAAAECBAgQIECAAAECBAgQIJB/AUFq/ntkhgQIECBAgAABAgQIECBAgAABAgQIVFlAkFrlBhieAAECBAgQIECAAAECBAgQIECAAIH8CwhS898jMyRAgAABAgQIECBAgAABAgQIECBAoMoCdVUe3/A1IDAwMBA/+9nPYnBwsOTZ9vT0lFxDAQIECBAgQIAAAQIECBAgQIAAAQJZCwhSsxavwfH+/M//PO66666yzvxHP/pRWespRoAAAQIECBAgQIAAAQIECBAgQKCSAoLUSuqeJbXf9KY3xbRp0yK5MrXU5ejRo9Hb2xvjx48vtZTzCRAgQIAAAQIECBAgQIAAAQIECGQmIEjNjLp2B1q5cmUkr3IsSZ077rgjLrjggnKUU4MAAQIECBAgQIAAAQIECBAgQIBAJgJ+bCoTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAoLUWu6euRMgQIAAAQIECBAgQIAAAQIECBAgkImAIDUTZoMQIECAAAECBAgQIECAAAECBAgQIFDLAnW1PPmzYe6HDh2KI0eOxIkTJ9JXY2NjjB8/Ppqbm2PixImRbFsIECBAgAABAgQIECBAgAABAgQIEKiugCA1Y//e3t7YtGlTtLe3x969eyPZPtNSV1cXs2bNivnz58fixYtj4cKFMWbMmDMd7n0CBAgQIECAAAECBAgQIECAAAECBCok4Nb+CsG+vOzhw4dj+fLlMWXKlFixYkV0dHQMGaIm5/f398fu3btj48aNaZA6e/bs2Lp168tL2yZAgAABAgQIECBAgAABAgQIECBAoMICrkitMHBS/ujRo3HllVfGnj17CqMlV5ZOnjw5LrzwwmhpaYmmpqZoaGhIw9O+vr7o6emJ7u7u6OrqipMnT6bnJVewLlmyJDZs2BA33nhjoZYVAgQIECBAgAABAgQIECBAgAABAgQqKyBIraxvHD9+PBYtWlQIUS+77LJYtWpVLFiwIA1Qiw1/+vTp2LVrV/o4gLvvvjuS7ZUrV8bMmTPTW/2LnW8/AQIECBAgQIAAAQIECBAgQIAAAQKlC7i1v3TDISvcf//96W38yUHXXXdddHZ2pv+Tq1CHs9TX18fll18ebW1t8cADD0SynSw33XRTDAwMDKeEYwgQIECAAAECBAgQIECAAAECBAgQKFFAkFoiYLHTd+7cmR6SPN80+ZGpsWNHT5782NRtt92W1kseE3Dw4MFiw9tPgAABAgQIECBAgAABAgQIECBAgEAZBEaf6pVh8HOhxI4dO9KPec011xSuJi3lc1977bWF0/ft21dYt0KAAAECBAgQIECAAAECBAgQIECAQOUEBKmVs00rP/300+n/qVOnlmWkiRMnFgLZ5557riw1FSFAgAABAgQIECBAgAABAgQIECBAYGgBQerQPiXvnTFjRlqjo6Oj5FpJgeRRAckPTiXLJZdckv73hwABAgQIECBAgAABAgQIECBAgACBygoIUivrG/PmzUtHuO++++KRRx4pabRjx47F6tWr0xoTJkyI6dOnl1TPyQQIECBAgAABAgQIECBAgAABAgQIDE9AkDo8p1EfdfPNN6e34vf19cXSpUujra0tTp06NeJ6jz/+eFx11VWR/E+WG264YcQ1nECAAAECBAgQIECAAAECBAgQIECAwOgE6kZ3mrOGK5Dc2n/rrbfG2rVr49lnn00D0GT9iiuuiLlz56ZXlba2tkZTU1M0NjZGf39/JKFrT09PdHd3x4EDB2L79u2xd+/ewpBJoHrLLbcUtq0QIECAAAECBAgQIECAAAECBAgQIFBZAUFqZX3T6mvWrInkR6KWL18eyQ9E9fb2xpYtW9LXSIe/+uqro729PcaOdTHxSO0cT4AAAQIECBAgQIAAAQIECBAgQGC0AtK40cqN8Lxly5ZFV1dXrFu3LiZNmjSisxsaGtLHAmzevDm2bdsWyfNRLQQIECBAgAABAgQIECBAgAABAgQIZCfgitTsrKOlpSXWr1+fvp566qno7OyM/fv3p7fxJ7f9J1eq1tfXx7hx46K5uTmSxwJcfPHFMWfOnPS9DKdqKAIECBAgQIAAAQIECBAgQIAAAQIEXiQgSH0RRpar06ZNi+RlIUCAAAECBAgQIECAAAECBAgQIEAg/wKC1Cr16OTJk5Hcsj/S5b//+7/T56wm511wwQUjPd3xBAgQIECAAAECBAgQIECAAAECBAiMQsAzUkeBNtpTvvnNb8Z73vOeaG1tjaamprjooovi+uuvjx07dgy75Ic//OGYOnVq+hr2SQ4kQIAAAQIECBAgQIAAAQIECBAgQKAkAUFqSXzDO/n48ePxoQ99KP74j/84Hnroofj5z38eg4OD8R//8R/xjW98I97+9rfHqlWrCleaDq+qowgQIECAAAECBAgQIECAAAECBAgQyEpAkJqB9Lp162LTpk2Fkc4777yYPn16jBkzJn1vYGAgbr/99pg7d24cPHiwcJwVAgQIECBAgAABAgQIECBAgAABAgTyISBIrXAfHn/88fjbv/3bdJTklv4HH3wwenp64ic/+UkcPXo0/vqv/zrGjx+f7t+3b1+84x3vEKZWuCfKEyBAgAABAgQIECBAgAABAgQIEBipgCB1pGIjPP5rX/taPP/881FXVxff/va3Y8mSJTF27P9nTwLUtWvXxo9//OOYM2dOWvmnP/1pLFiwIA4fPjzCkRxOgAABAgQIECBAgAABAgQIECBAgEClBASplZL9n7pJSJosH/jABwph6f/sKvybPHlybN++Pa644or0veT2/kWLFkXybFULAQIECBAgQIAAAQIECBAgQIAAAQLVFxCkVrgHTz75ZDrCvHnzhhypubk5tm3bFm9961vT4374wx/G+9///vRq1iFPtJMAAQIECBAgQIAAAQIECBAgQIAAgYoLCFIrTHzq1Kl0hFe96lVFR2pqaopvfetb8YY3vCE99l/+5V/iU5/6VNHzHECAAAECBAgQIECAAAECBAgQIECAQGUFBKmV9Y3f/u3fTkf493//92GN9NrXvjYeeuihaGlpSY9PnrH65S9/eVjnOogAAQIECBAgQIAAAQIECBAgQIAAgcoICFIr41qo+kKQ2t7eHkeOHCm8P9TKjBkz0itTkytUk2XNmjWxadOmoU6xjwABAgQIECBAgAABAgQIECBAgACBCgrUVbC20r8WSH5k6p577omf//zn6frXv/71aG1tLWrze7/3e5GEr+973/tiYGAgli1bFsmPUCXrWS87duyIe++9NwYHB0se+gc/+EFa41e/+lXJtRQgQIAAAQIECBAgQIAAAQIECBAgkJWAILXC0osWLYp3v/vd8d3vfje+/e1vx0UXXRRLly6N5MenVqxYMeTof/iHfxh/93d/F5/4xCfSAPXzn/98jB2b/UXEX/rSl2LLli1DznWkO4f7qIOR1nU8AQIECBAgQIAAAQIECBAgQIAAgUoICFIrofqymm1tbfHe97439uzZE0ePHo1/+Id/iEcffbRokJqU+fjHPx4NDQ3xsY99LPr7+6tyReqdd94ZCxcuLMsVqd/85jfje9/7XrzlLW95mZJNAgQIECBAgAABAgQIECBAgAABAvkVEKRm0JvXv/71sWvXrvRZp0mIevz48Xjd61437JE//OEPx6WXXhqf/OQn4/vf//6wzyvXgdOnT0+vii1Hvf3796dBal2dr145PNUgQIAAAQIECBAgQIAAAQIECBDIRiD7+8Sz+Vy5G6WxsTG++tWvxrFjx6KjoyMNVUcyyTe/+c2xffv2SJ6xmjw/tbm5eSSnO5YAAQIECBAgQIAAAQIECBAgQIAAgRIEXBZYAt5oTk2uxEyC0NEu119/fSQvCwECBAgQIECAAAECBAgQIECAAAEC2Qm4IjU7ayMRIECAAAECBAgQIECAAAECBAgQIFCjAoLUGm2caRMgQIAAAQIECBAgQIAAAQIECBAgkJ2AW/uzsy55pNOnT8fhw4cLdS644ILCuhUCBAgQIECAAAECBAgQIECAAAECBConIEitnG3ZKz/xxBNx6aWXFuoODg4W1q0QIECAAAECBAgQIECAAAECBAgQIFA5Abf2V85WZQIECBAgQIAAAQIECBAgQIAAAQIEzhIBQepZ0kgfgwABAgQIECBAgAABAgQIECBAgACBygm4tb9ytmWvPGfOnHjmmWfKXldBAgQIECBAgAABAgQIECBAgAABAgSGFhCkDu2Tq711dXXR2tqaqzmZDAECBAgQIECAAAECBAgQIECAAIFzQcCt/edCl31GAgQIECBAgAABAgQIECBAgAABAgRKEhCklsTnZAIECBAgQIAAAQIECBAgQIAAAQIEzgUBt/ZXucuHDh2KI0eOxIkTJ9JXY2NjjB8/Ppqbm2PixImRbFsIECBAgAABAgQIECBAgAABAgQIEKiugCA1Y//e3t7YtGlTtLe3x969eyPZPtOSPBN11qxZMX/+/Fi8eHEsXLgwxowZc6bDvU+AAAECBAgQIECAAAECBAgQIECAQIUE3NpfIdiXlz18+HAsX748pkyZEitWrIiOjo4hQ9Tk/P7+/ti9e3ds3LgxDVJnz54dW7dufXlp2wQIECBAgAABAgQIECBAgAABAgQIVFjAFakVBk7KHz16NK688srYs2dPYbTkytLJkyfHhRdeGC0tLdHU1BQNDQ1peNrX1xc9PT3R3d0dXV1dcfLkyfS85ArWJUuWxIYNG+LGG28s1LJCgAABAgQIECBAgAABAgQIECBAgEBlBQSplfWN48ePx6JFiwoh6mWXXRarVq2KBQsWpAFqseFPnz4du3btSh8HcPfdd0eyvXLlypg5c2Z6q3+x8+0nQIAAAQIECBAgQIAAAQIECBAgQKB0Abf2l244ZIX7778/vY0/Oei6666Lzs7O9H9yFepwlvr6+rj88sujra0tHnjggUi2k+Wmm26KgYGB4ZRwDAECBAgQIECAAAECBAgQIECAAAECJQoIUksELHb6zp0700OS55smPzI1duzoyZMfm7rtttvSesljAg4ePFhsePsJECBAgAABAgQIECBAgAABAgQIECiDwOhTvTIMfi6U2LFjR/oxr7nmmsLVpKV87muvvbZw+r59+wrrVggQIECAAAECBAgQIECAAAECBAgQqJyAILVytmnlp59+Ov0/derUsow0ceLEQiD73HPPlaWmIgQIECBAgAABAgQIECBAgAABAgQIDC0gSB3ap+S9M2bMSGt0dHSUXCspkDwqIPnBqWS55JJL0v/+ECBAgAABAgQIECBAgAABAgQIECBQWQFBamV9Y968eekI9913XzzyyCMljXbs2LFYvXp1WmPChAkxffr0kuo5mQABAgQIECBAgAABAgQIECBAgACB4QkIUofnNOqjbr755vRW/L6+vli6dGm0tbXFqVOnRlzv8ccfj6uuuiqS/8lyww03jLiGEwgQIECAAAECBAgQIECAAAECBAgQGJ1A3ehOc9ZwBZJb+2+99dZYu3ZtPPvss2kAmqxfccUVMXfu3PSq0tbW1mhqaorGxsbo7++PJHTt6emJ7u7uOHDgQGzfvj327t1bGDIJVG+55ZbCthUCBAgQIECAAAECBAgQIECAAAECBCorIEitrG9afc2aNZH8SNTy5csj+YGo3t7e2LJlS/oa6fBXX311tLe3x9ixLiYeqZ3jCRAgQIAAAQIECBAgQIAAAQIECIxWQBo3WrkRnrds2bLo6uqKdevWxaRJk0Z0dkNDQ/pYgM2bN8e2bdsieT6qhQABAgQIECBAgAABAgQIECBAgACB7ARckZqddbS0tMT69evT11NPPRWdnZ2xf//+9Db+5Lb/5ErV+vr6GDduXDQ3N0fyWICLL7445syZk76X4VQNRYAAAQIECBAgQIAAAQIECBAgQIDAiwQEqS/CyHJ12rRpkbwsBAgQIECAAAECBAgQIECAAAECBAjkX8Ct/fnvkRkSIECAAAECBAgQIECAAAECBAgQIFBlAUFqlRtgeAIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM1/j8yQAAECBAgQIECAAAECBAgQIECAAIEqCwhSq9wAwxMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+e2SGBAgQIECAAAECBAgQIECAAAECBAhUWUCQWuUGGJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLz3yMzJECAAAECBAgQIECAAAECBAgQIECgygKC1Co3wPAECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/x6ZIQECBAgQIECAAAECBAgQIECAAAECVRYQpFa5AYYnQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/PfIDAkQIECAAAECBAgQIECAAAECBAgQqLKAILXKDTA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5r9HZkiAAAECBAgQIECAAAECBAgQIECAQJUFBKlVboDhCRAgQIAAAQIECBAgQIAAAQIECBDIv4AgNf89MkMCBAgQIECAAAECBAgQIECAAAECBKosIEitcgMMT4AAAQIECBAgQIAAAQIECBAgQIBA/gUEqfnvkRkSIECAAAECBAgQIECAAAECBAgQIFBlAUFqlRtgeAIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM1/j8yQAAECBAgQIECAAAECBAgQIECAAIEqCwhSq9wAwxMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+e2SGBAgQIECAAAECBAgQIECAAAECBAhUWUCQWuUGGJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLz3yMzJECAAAECBAgQIECAAAECBAgQIECgygKC1Co3wPAECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/x6ZIQECBAgQIECAAAECBAgQIECAAAECVRYQpFa5AYYnQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/PfIDAkQIECAAAECBAgQIECAAAECBAgQqLKAILXKDTA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5r9HZkiAAAECBAgQIECAAAECBAgQIECAQJUFBKlVboDhCRAgQIAAAQIECBAgQIAAAQIECBDIv4AgNf89MkMCBAgQIECAAAECBAgQIECAAAECBKosIEitcgMMT4AAAQIECBAgQIAAAQIECBAgQIBA/gUEqfnvkRkSIECAAAEVChB0AABAAElEQVQCBAgQIECAAAECBAgQIFBlAUFqlRtgeAIECBAgQIAAAQIECBAgQIAAAQIE8i8gSM1/j8yQAAECBAgQIECAAAECBAgQIECAAIEqCwhSq9wAwxMgQIAAAQIECBAgQIAAAQIECBAgkH8BQWr+e2SGBAgQIECAAAECBAgQIECAAAECBAhUWUCQWuUGGJ4AAQIECBAgQIAAAQIECBAgQIAAgfwLCFLz3yMzJECAAAECBAgQIECAAAECBAgQIECgygKC1Co3wPAECBAgQIAAAQIECBAgQIAAAQIECORfQJCa/x6ZIQECBAgQIECAAAECBAgQIECAAAECVRYQpFa5AYYnQIAAAQIECBAgQIAAAQIECBAgQCD/AoLU/PfIDAkQIECAAAECBAgQIECAAAECBAgQqLKAILXKDTA8AQIECBAgQIAAAQIECBAgQIAAAQL5FxCk5r9HZkiAAAECBAgQIECAAAECBAgQIECAQJUF6qo8vuFrRODEiRMxMDBQ8mxPnTpVcg0FCBAgQIAAAQIECBAgQIAAAQIECGQtIEjNWrwGx/uLv/iLuPPOO8s683379pW1nmIECBAgQIAAAQIECBAgQIAAAQIEKikgSK2k7llSe8KECfHqV786BgcHS/5EJ0+ejNOnT8dv/uZvllxLAQIECBAgQIAAAQIECBAgQIAAAQJZCXhGalbSNTzO5z73uejp6Yne3t6SX8uXL08lpk2bVsMipk6AAAECBAgQIECAAAECBAgQIHCuCQhSz7WO+7wECBAgQIAAAQIECBAgQIAAAQIECIxYQJA6YjInECBAgAABAgQIECBAgAABAgQIECBwrgkIUs+1jvu8BAgQIECAAAECBAgQIECAAAECBAiMWECQOmIyJxAgQIAAAQIECBAgQIAAAQIECBAgcK4JCFLPtY77vAQIECBAgAABAgQIECBAgAABAgQIjFhAkDpiMicQIECAAAECBAgQIECAAAECBAgQIHCuCQhSz7WO+7wECBAgQIAAAQIECBAgQIAAAQIECIxYQJA6YjInECBAgAABAgQIECBAgAABAgQIECBwrgkIUs+1jvu8BAgQIECAAAECBAgQIECAAAECBAiMWECQOmIyJxAgQIAAAQIECBAgQIAAAQIECBAgcK4J1J1rH9jnJUCAAAECBAjUgsDzzz8fa9euja6urlqYbjrH+vr6+OxnPxtvfvOba2bOJkqAAAECBAgQIEBguAKC1OFKOY4AAQIECBAgkKHA/v374/bbb89wxPIMNXXq1Pibv/mb8hRThQABAgQIECBAgECOBASpOWqGqRAgQIAAAQIEXhBIrkhNlte+9rXx0Y9+9IW3c/v/0UcfjYcffjhemHduJ2piBAgQIECAAAECBEYpIEgdJZzTCBAgQIAAAQJZCDQ1NcVb3/rWLIYqaYxf/OIXJZ3vZAIECBAgQIAAAQJ5F/BjU3nvkPkRIECAAAECBAgQIECAAAECBAgQIFB1AUFq1VtgAgQIECBAgAABAgQIECBAgAABAgQI5F1AkJr3DpkfAQIECBAgQIAAAQIECBAgQIAAAQJVFxCkVr0FJkCAAAECBAgQIECAAAECBAgQIECAQN4FBKl575D5ESBAgAABAgQIECBAgAABAgQIECBQdQFBatVbYAIECBAgQIAAAQIECBAgQIAAAQIECORdQJCa9w6ZHwECBAgQIECAAAECBAgQIECAAAECVRcQpFa9BSZAgAABAgQIECBAgAABAgQIECBAgEDeBQSpee+Q+REgQIAAAQIECBAgQIAAAQIECBAgUHUBQWrVW2ACBAgQIECAAAECBAgQIECAAAECBAjkXUCQmvcOmR8BAgQIECBAgAABAgQIECBAgAABAlUXEKRWvQUmQIAAAQIECBAgQIAAAQIECBAgQIBA3gUEqXnvkPkRIECAAAECBAgQIECAAAECBAgQIFB1AUFq1VtgAgQIECBAgAABAgQIECBAgAABAgQI5F1AkJr3DpkfAQIECBAgQIAAAQIECBAgQIAAAQJVFxCkVr0FJkCAAAECBAgQIECAAAECBAgQIECAQN4F6vI+QfMjQIAAAQIECBAgQCAbgXvuuSfa2tpicHAwmwHLMMo73/nO+MIXvlCGSkoQIECAAAECBIYWEKQO7WMvAQIECBAgQIAAgXNG4O///u9j+/btNfV5H3vsMUFqTXXMZAkQIECAQO0KCFJrt3dmToAAAQIECBAgQKCsAi9cifqxj30spk2bVtba5S7W398fn/vc52JgYKDcpdUjQIAAAQIECLyigCD1FVm8SYAAAQIECBAgQODcFUhC1De96U25Bjh16lSu52dyBAgQIECAwNkn4Memzr6e+kQECBAgQIAAAQIECBAgQIAAAQIECJRZQJBaZlDlCBAgQIAAAQIECBAgQIAAAQIECBA4+wQEqWdfT30iAgQIECBAgAABAgQIECBAgAABAgTKLCBILTOocgQIECBAgAABAgQIECBAgAABAgQInH0CgtSzr6c+EQECBAgQIECAAAECBAgQIECAAAECZRYQpJYZVDkCBAgQIECAAAECBAgQIECAAAECBM4+AUHq2ddTn4gAAQIECBAgQIAAAQIECBAgQIAAgTILCFLLDKocAQIECBAgQIAAAQIECBAgQIAAAQJnn4Ag9ezrqU9EgAABAgQIECBAgAABAgQIECBAgECZBQSpZQZVjgABAgQIECBAgAABAgQIECBAgACBs09AkHr29dQnIkCAAAECBAgQIECAAAECBAgQIECgzAKC1DKDKkeAAAECBAgQIECAAAECBAgQIECAwNknIEg9+3rqExEgQIAAAQIECBAgQIAAAQIECBAgUGaBujLXU26EAocOHYojR47EiRMn0ldjY2OMHz8+mpubY+LEiZFsWwgQIECAAAECBAgQIECAAAECBAgQqK6AIDVj/97e3ti0aVO0t7fH3r17I9k+01JXVxezZs2K+fPnx+LFi2PhwoUxZsyYMx3ufQIECBAgQIAAAQIECBAgQIAAAQIEKiTg1v4Kwb687OHDh2P58uUxZcqUWLFiRXR0dAwZoibn9/f3x+7du2Pjxo1pkDp79uzYunXry0vbJkCAAAECBAgQIECAAAECBAgQIECgwgKuSK0wcFL+6NGjceWVV8aePXsKoyVXlk6ePDkuvPDCaGlpiaampmhoaEjD076+vujp6Ynu7u7o6uqKkydPpuclV7AuWbIkNmzYEDfeeGOhlhUCBAgQIECAAAECBAgQIECAAAECBCorIEitrG8cP348Fi1aVAhRL7vssli1alUsWLAgDVCLDX/69OnYtWtX+jiAu+++O5LtlStXxsyZM9Nb/Yudbz8BAgQIECBAgAABAgQIECBAgAABAqULuLW/dMMhK9x///3pbfzJQdddd110dnam/5OrUIez1NfXx+WXXx5tbW3xwAMPRLKdLDfddFMMDAwMp4RjCBAgQIAAAQIECBAgQIAAAQIECBAoUUCQWiJgsdN37tyZHpI83zT5kamxY0dPnvzY1G233ZbWSx4TcPDgwWLD20+AAAECBAgQIECAAAECBAgQIECAQBkERp/qlWHwc6HEjh070o95zTXXFK4mLeVzX3vttYXT9+3bV1i3QoAAAQIECBAgQIAAAQIECBAgQIBA5QQEqZWzTSs//fTT6f+pU6eWZaSJEycWAtnnnnuuLDUVIUCAAAECBAgQIECAAAECBAgQIEBgaAFB6tA+Je+dMWNGWqOjo6PkWkmB5FEByQ9OJcsll1yS/veHAAECBAgQIECAAAECBAgQIECAAIHKCghSK+sb8+bNS0e477774pFHHilptGPHjsXq1avTGhMmTIjp06eXVM/JBAgQIECAAAECBAgQIECAAAECBAgMT0CQOjynUR918803p7fi9/X1xdKlS6OtrS1OnTo14nqPP/54XHXVVZH8T5YbbrhhxDWcQIAAAQIECBAgQIAAAQIECBAgQIDA6ATqRneas4YrkNzaf+utt8batWvj2WefTQPQZP2KK66IuXPnpleVtra2RlNTUzQ2NkZ/f38koWtPT090d3fHgQMHYvv27bF3797CkEmgessttxS2rRAgQIAAAQIECBAgQIAAAQIECBAgUFkBQWplfdPqa9asieRHopYvXx7JD0T19vbGli1b0tdIh7/66qujvb09xo51MfFI7RxPgAABAgQIECBAgAABAgQIECBAYLQC0rjRyo3wvGXLlkVXV1esW7cuJk2aNKKzGxoa0scCbN68ObZt2xbJ81EtBAgQIECAAAECBAgQIECAAAECBAhkJ+CK1Oyso6WlJdavX5++nnrqqejs7Iz9+/ent/Ent/0nV6rW19fHuHHjorm5OZLHAlx88cUxZ86c9L0Mp2ooAgQIECBAgAABAgQIECBAgAABAgReJCBIfRFGlqvTpk2L5GUhQIAAAQIECBAgQIAAAQIECBAgQCD/Am7tz3+PzJAAAQIECBAgQIAAAQIECBAgQIAAgSoLCFKr3ADDEyBAgAABAgQIECBAgAABAgQIECCQfwFBav57ZIYECBAgQIAAAQIECBAgQIAAAQIECFRZQJBa5QYYngABAgQIECBAgAABAgQIECBAgACB/AsIUvPfIzMkQIAAAQIECBAgQIAAAQIECBAgQKDKAnVVHv+sH76lpSUGBwcr8jl/+ctfVqSuogQIECBAgAABAgQIECBAgAABAgQIvFRAkPpSj7JvHTlyJAYGBspeV0ECBAgQIECAAAECBAgQIECAAAECBLITEKRW2Pr73/9+LFu2LPbt21cYadKkSfEbv/EbhW0rBAgQIECAAAECBAgQIECAAAECBAjkW0CQWuH+/P7v/350dnbG1VdfHbt27UpH+8hHPhLr16+v8MjKEyBAgAABAgQIECBAgAABAgQIECBQLgE/NlUuySHqnH/++fGd73wnLrroovSoL33pS/Hwww8PcYZdBAgQIECAAAECBAgQIECAAAECBAjkSUCQmlE3mpub46677oqxY8emz0z94Ac/GD09PRmNbhgCBAgQIECAAAECBAgQIECAAAECBEoRcGt/KXojPPetb31rfOpTn4qvfOUrcejQofjqV78a69atG2GV7A//t3/7t/jnf/7nGBwcLHnwnTt3pjX6+vpKrqUAAQIECBAgQIAAAQIECBAgQIAAgawEBKlZSf/POMmzUb/1rW/FwYMH48tf/nJ8+tOfjnHjxmU8i5EN95nPfCa2bt06spOKHJ2EsxYCBAgQIECAAAECBAgQIECAAAECtSIgSM24U+edd17ce++9sXnz5nTkJFCdNWtWxrMY2XDJM12Tq2kHBgZGduIrHL1t27bo6OiIuXPnvsJebxEgQIAAAQIECBAgQIAAAQIECBDIp4AgtQp9mT9/fiSvWlne/OY3R/Iqx3LkyJE0SG1oaChHOTUIECBAgAABAgQIECBAgAABAgQIZCLgx6YyYTYIAQIECBAgQIAAAQIECBAgQIAAAQK1LCBIreXumTsBAgQIECBAgAABAgQIECBAgAABApkICFIzYTYIAQIECBAgQIAAAQIECBAgQIAAAQK1LCBIreXumTsBAgQIECBAgAABAgQIECBAgAABApkI+LGpTJjLM8jp06fj8OHDhWIXXHBBYd0KAQIECBAgQIAAAQIECBAgQIAAAQKVExCkVs627JWfeOKJuPTSSwt1BwcHC+tWCBAgQIAAAQIECBAgQIAAAQIECBConIBb+ytnqzIBAgQIECBAgAABAgQIECBAgAABAmeJgCD1LGmkj0GAAAECBAgQIECAAAECBAgQIECAQOUE3NpfOduyV54zZ04888wzZa+rIAECBAgQIECAAAECBAgQIECAAAECQwsIUof2ydXeurq6aG1tzdWcTIYAAQIECBAgQIAAAQIECBAgQIDAuSDg1v5zocs+IwECBAgQIECAAAECBAgQIECAAAECJQkIUkviczIBAgQIECBAgAABAgQIECBAgAABAueCgFv7q9zlQ4cOxZEjR+LEiRPpq7GxMcaPHx/Nzc0xceLESLYtBAgQIECAAAECBAgQIECAAAECBAhUV0CQmrF/b29vbNq0Kdrb22Pv3r2RbJ9pSZ6JOmvWrJg/f34sXrw4Fi5cGGPGjDnT4d4nQIAAAQIECBAgQIAAAQIECBAgQKBCAm7trxDsy8sePnw4li9fHlOmTIkVK1ZER0fHkCFqcn5/f3/s3r07Nm7cmAaps2fPjq1bt768tG0CBAgQIECAAAECBAgQIECAAAECBCos4IrUCgMn5Y8ePRpXXnll7NmzpzBacmXp5MmT48ILL4yWlpZoamqKhoaGNDzt6+uLnp6e6O7ujq6urjh58mR6XnIF65IlS2LDhg1x4403FmpZIUCAAAECBAgQIECAAAECBAgQIECgsgKC1Mr6xvHjx2PRokWFEPWyyy6LVatWxYIFC9IAtdjwp0+fjl27dqWPA7j77rsj2V65cmXMnDkzvdW/2Pn2EyBAgAABAgQIECBAgMD/a+9ewG6p6oKBL5AT5xiCgAiUIIRSoQgEpImFShJxEZMukE8qSkmipSBeMD/zjnrIS1piJQliQRdJVNQuCgWcsE/55JgJKNAhk0SuAQc8sr/1H5tpzvvu/b57z559e/dvnuecvd/ZM2vW+q2ZNTP/WTNDgAABAgQIDC/g1v7hDZdM4cILLyxu44+Jjj/++LRu3briM3qh9jOsWrUqHXLIIenss89OF110UYq/Y3j1q1+dHnzwwX6SMA0BAgQIECBAgAABAgQIECBAgAABAkMKCKQOCbjc7FdccUUxSTzfNF4yteWWzcnjZVNr164t0ovHBNxwww3LLd7vBAgQIECAAAECBAgQIECAAAECBAi0INA8qtfCwuchicsvv7wo5jHHHFP1Jh2m3Mcdd1w1+7XXXlt994UAAQIECBAgQIAAAQIECBAgQIAAgdEJCKSOzrZI+eabby4+d9ttt1aWtOOOO1YB2fvuu6+VNCVCgAABAgQIECBAgAABAgQIECBAgMDSAgKpS/sM/etee+1VpHHllVcOnVYkEI8KiBdOxXDAAQcUn/4jQIAAAQIECBAgQIAAAQIECBAgQGC0AgKpo/VNBx54YLGECy64IF166aVDLe2OO+5Ip512WpHGDjvskPbcc8+h0jMzAQIECBAgQIAAAQIECBAgQIAAAQL9CQik9ufUeKrXvOY1xa34GzduTMcee2w6++yz0wMPPDBweldffXU6/PDDU3zGcPLJJw+chhkIECBAgAABAgQIECBAgAABAgQIEGgmsFWz2czVr0Dc2v/Wt741nX766enOO+8sAqDx/dBDD037779/0at05513TmvWrEmrV69OmzZtShF0veuuu9KGDRvS9ddfny677LK0fv36apERUH3Tm95U/e0LAQIECBAgQIAAAQIECBAgQIAAAQKjFRBIHa1vkforXvGKFC+JOuWUU1K8IOruu+9On/jEJ4p/gy7+iCOOSOeff37ackudiQe1Mz0BAgQIECBAgAABAgQIECBAgACBpgKicU3lBpzvxBNPTDfddFM644wz0i677DLQ3FtvvXXxWICLL744XXLJJSmej2ogQIAAAQIECBAgQIAAAQIECBAgQGB8Anqkjs867bTTTuktb3lL8e/GG29M69atS9ddd11xG3/c9h89VVetWpW22WabtO2226Z4LMA+++yT9ttvv2LcGLNqUQQIECBAgAABAgQIECBAgAABAgQI1AQEUmsY4/y6xx57pPhnIECAAAECBAgQIECAAAECBAgQIEBg+gXc2j/9dSSHBAgQIECAAAECBAgQIECAAAECBAhMWEAgdcIVYPEECBAgQIAAAQIECBAgQIAAAQIECEy/gEDq9NeRHBIgQIAAAQIECBAgQIAAAQIECBAgMGEBgdQJV4DFEyBAgAABAgQIECBAgAABAgQIECAw/QICqdNfR3JIgAABAgQIECBAgAABAgQIECBAgMCEBQRSJ1wBFk+AAAECBAgQIECAAAECBAgQIECAwPQLCKROfx3JIQECBAgQIECAAAECBAgQIECAAAECExYQSJ1wBVg8AQIECBAgQIAAAQIECBAgQIAAAQLTLyCQOv11JIcECBAgQIAAAQIECBAgQIAAAQIECExYQCB1whVg8QQIECBAgAABAgQIECBAgAABAgQITL+AQOr015EcEiBAgAABAgQIECBAgAABAgQIECAwYQGB1AlXgMUTIECAAAECBAgQIECAAAECBAgQIDD9AgKp019HckiAAAECBAgQIECAAAECBAgQIECAwIQFBFInXAEWT4AAAQIECBAgQIAAAQIECBAgQIDA9AsIpE5/HckhAQIECBAgQIAAAQIECBAgQIAAAQITFhBInXAFWDwBAgQIECBAgAABAgQIECBAgAABAtMvIJA6/XUkhwQIECBAgAABAgQIECBAgAABAgQITFhAIHXCFWDxBAgQIECAAAECBAgQIECAAAECBAhMv4BA6vTXkRwSIECAAAECBAgQIECAAAECBAgQIDBhAYHUCVeAxRMgQIAAAQIECBAgQIAAAQIECBAgMP0CAqnTX0dySIAAAQIECBAgQIAAAQIECBAgQIDAhAUEUidcARZPgAABAgQIECBAgAABAgQIECBAgMD0CwikTn8dySEBAgQIECBAgAABAgQIECBAgAABAhMWEEidcAVYPAECBAgQIECAAAECBAgQIECAAAEC0y8gkDr9dSSHBAgQIECAAAECBAgQIECAAAECBAhMWEAgdcIVYPEECBAgQIAAAQIECBAgQIAAAQIECEy/gEDq9NeRHBIgQIAAAQIECBAgQIAAAQIECBAgMGEBgdQJV4DFEyBAgAABAgQIECBAgAABAgQIECAw/QICqdNfR3JIgAABAgQIECBAgAABAgQIECBAgMCEBQRSJ1wBFk+AAAECBAgQIECAAAECBAgQIECAwPQLCKROfx3JIQECBAgQIECAAAECBAgQIECAAAECExYQSJ1wBVg8AQIECBAgQIAAAQIECBAgQIAAAQLTLyCQOv11JIcECBAgQIAAAQIECBAgQIAAAQIECExYQCB1whVg8QQIECBAgAABAgQIECBAgAABAgQITL+AQOr015EcEiBAgAABAgQIECBAgAABAgQIECAwYQGB1AlXgMUTIECAAAECBAgQIECAAAECBAgQIDD9AgKp019HckiAAAECBAgQIECAAAECBAgQIECAwIQFBFInXAEWT4AAAQIECBAgQIAAAQIECBAgQIDA9AsIpE5/HckhAQIECBAgQIAAAQIECBAgQIAAAQITFhBInXAFWDwBAgQIECBAgAABAgQIECBAgAABAtMvIJA6/XUkhwQIECBAgAABAgQIECBAgAABAgQITFhAIHXCFWDxBAgQIECAAAECBAgQIECAAAECBAhMv4BA6vTXkRwSIECAAAECBAgQIECAAAECBAgQIDBhAYHUCVeAxRMgQIAAAQIECBAgQIAAAQIECBAgMP0CAqnTX0dySIAAAQIECBAgQIAAAQIECBAgQIDAhAUEUidcARZPgAABAgQIECBAgAABAgQIECBAgMD0C2w1/VmUw0kLvO51r0tr165NDz744NBZ2bRpU5HGN77xjaHTkgABAgQIECBAgAABAgQIECBAgACBcQkIpI5LeoaXc++996aNGze2WoLvfe97raYnMQIECBAgQIAAAQIECBAgQIAAAQKjFHBr/yh1V0jaZ511VnrggQfS/fffP/S/l770pYXKYx/72BWioxgECBAgQIAAAQIECBAgQIAAAQLzIKBH6jzUcgtlXLVqVQuppPSQhzyklXQkQoAAAQIECBAgQIAAAQIECBAgQGCcAnqkjlPbsggQIECAAAECBAgQIECAAAECBAgQmEkBgdSZrDaZJkCAAAECBAgQIECAAAECBAgQIEBgnAICqePUtiwCBAgQIECAAAECBAgQIECAAAECBGZSQCB1JqtNpgkQIECAAAECBAgQIECAAAECBAgQGKeAQOo4tS2LAAECBAgQIECAAAECBAgQIECAAIGZFBBInclqk2kCBAgQIECAAAECBAgQIECAAAECBMYpIJA6Tm3LIkCAAAECBAgQIECAAAECBAgQIEBgJgUEUmey2mSaAAECBAgQIECAAAECBAgQIECAAIFxCgikjlPbsggQIECAAAECBAgQIECAAAECBAgQmEkBgdSZrDaZJkCAAAECBAgQIECAAAECBAgQIEBgnAICqePUtiwCBAgQIECAAAECBAgQIECAAAECBGZSQCB1JqtNpgkQIECAAAECBAgQIECAAAECBAgQGKeAQOo4tS2LAAECBAgQIECAAAECBAgQIECAAIGZFBBInclqk2kCBAgQIECAAAECBAgQIECAAAECBMYpIJA6Tm3LIkCAAAECBAgQIECAAAECBAgQIEBgJgUEUmey2mSaAAECBAgQIECAAAECBAgQIECAAIFxCgikjlPbsggQIECAAAECBAgQIECAAAECBAgQmEkBgdSZrDaZJkCAAAECBAgQIECAAAECBAgQIEBgnAICqePUtiwCBAgQIECAAAECBAgQIECAAAECBGZSQCB1JqtNpgkQIECAAAECBAgQIECAAAECBAgQGKeAQOo4tS2LAAECBAgQIECAAAECBAgQIECAAIGZFBBInclqk2kCBAgQIECAAAECBAgQIECAAAECBMYpIJA6Tm3LIkCAAAECBAgQIECAAAECBAgQIEBgJgUEUmey2mSaAAECBAgQIECAAAECBAgQIECAAIFxCgikjlPbsggQIECAAAECBAgQIECAAAECBAgQmEkBgdSZrDaZJkCAAAECBAgQIECAAAECBAgQIEBgnAICqePUtiwCBAgQIECAAAECBAgQIECAAAECBGZSQCB1JqtNpgkQIECAAAECBAgQIECAAAECBAgQGKeAQOo4tS2LAAECBAgQIECAAAECBAgQIECAAIGZFBBInclqk2kCBAgQIECAAAECBAgQIECAAAECBMYpIJA6Tm3LIkCAAAECBAgQIECAAAECBAgQIEBgJgUEUmey2mSaAAECBAgQIECAAAECBAgQIECAAIFxCgikjlPbsggQIECAAAECBAgQIECAAAECBAgQmEkBgdSZrDaZJkCAAAECBAgQIECAAAECBAgQIEBgnAICqePUtiwCBAgQIECAAAECBAgQIECAAAECBGZSQCB1JqtNpgkQIECAAAECBAgQIECAAAECBAgQGKeAQOo4tS2LAAECBAgQIECAAAECBAgQIECAAIGZFNhqJnMt0wQIECBAgAABAgQIEFhG4N57702vfOUr06233rrMlNPz80Mf+tD05je/Of3QD/3Q9GRKTggQIECAAIFCQCDVikCAAAECBAgQIECAwIoU+Kd/+qf0/ve/f+bKdsABB6SXvvSlM5dvGSZAgAABAitdQCB1pdew8hEgQIAAAQIECBCYU4Hvfe97Rcn33HPP9OxnP3vqFT73uc+lL37xi6nM99RnWAYJECBAgMCcCQikzlmFKy4BAgQIECBAgACBeRPYfvvt00//9E9PfbGvvfbaIpA69RmVQQIECBAgMKcCXjY1pxWv2AQIECBAgAABAgQIECBAgAABAgQI9C8gkNq/lSkJECBAgAABAgQIECBAgAABAgQIEJhTAYHUOa14xSZAgAABAgQIECBAgAABAgQIECBAoH8BgdT+rUxJgAABAgQIECBAgAABAgQIECBAgMCcCgikzmnFKzYBAgQIECBAgAABAgQIECBAgAABAv0LbNX/pKYchcA3v/nNdNttt6V77723+Ld69eq03XbbpW233TbtuOOOKf42ECBAgAABAgQIECBAgAABAgQIECAwWQGB1DH733333encc89N559/flq/fn2Kv3sNW221Vdp3333TE5/4xHT00UenI488Mm2xxRa9JjeeAAECBAjMvcCGDRvSpk2bZsZhp512Sttss83M5FdGCRAgQIAAAQIECMyzgEDqmGr/lltuSW984xvTeeedt2TwtJ6dOBH80pe+VPz7wAc+kB7/+MenM888Mx111FH1yXwnQIAAAQIEssAb3vCG9Lu/+7szZfGIRzwi3XzzzWnrrbeeqXzLLAECBAgQIECAAIF5FBBIHUOt33777ekZz3hGuuaaa6qlRc/SXXfdNe2+++4peqOsWbOmOImK4OnGjRvTXXfdlaJXzU033ZTuv//+Yr7owfrMZz4znXXWWellL3tZlZYvBAgQIECAQErXX399wRCPx5mFR+N8+9vfTrfeemu688470yMf+UhVSIAAAQIECBAgQIDAlAsIpI64gu65556iB2kZRD344IPTqaeemg477LAigLrc4r/73e+mq666qngcwDnnnJPi75e//OVp7733Lm71X25+vxMgQIAAgXkTeMELXpCe+tSnTn2xn/e85xVB1KnPqAwSIECAAAECBAgQIFAIbMlhtAIXXnhhuvLKK4uFHH/88WndunUpPqMXaj/DqlWr0iGHHJLOPvvsdNFFF6X4O4ZXv/rV6cEHH+wnCdMQIECAAAECBAgQIECAAAECBAgQIDCkgEDqkIDLzX7FFVcUkzzhCU8oepVuuWVz8njZ1Nq1a4v0oofrDTfcsNzi/U6AAAECBAgQIECAAAECBAgQIECAQAsCzaN6LSx8HpK4/PLLi2Iec8wxVW/SYcp93HHHVbNfe+211XdfCBAgQIAAAQIECBAgQIAAAQIECBAYnYBA6uhsi5TjTbwx7LbbbsXnsP/tuOOOVUD2vvvuGzY58xMgQIAAAQIECBAgQIAAAQIECBAg0IeAQGofSMNMstdeexWzl89JHSatmDceFRAvnIrhgAMOKD79R4AAAQIECBAgQIAAAQIECBAgQIDAaAUEUkfrmw488MBiCRdccEG69NJLh1raHXfckU477bQijR122CHtueeeQ6VnZgIECBAgQIAAAQIECBAgQIAAAQIE+hMQSO3PqfFUr3nNa4pb8Tdu3JiOPfbYdPbZZ6cHHnhg4PSuvvrqdPjhh6f4jOHkk08eOA0zECBAgAABAgQIECBAgAABAgQIECDQTGCrZrOZq1+BuLX/rW99azr99NPTnXfeWQRA4/uhhx6a9t9//6JX6c4775zWrFmTVq9enTZt2pQi6HrXXXelDRs2pOuvvz5ddtllaf369dUiI6D6pje9qfrbFwIECBAgQIAAAQIECBAgQIAAAQIERisgkDpa3yL1V7ziFSleEnXKKaekeEHU3XffnT7xiU8U/wZd/BFHHJHOP//8tOWWOhMPamd6AgQIECBAgAABAgQIECBAgAABAk0FROOayg0434knnphuuummdMYZZ6RddtlloLm33nrr4rEAF198cbrkkktSPB/VQIAAAQIECBAgQIAAAQIECBAgQIDA+AT0SB2fddppp53SW97yluLfjTfemNatW5euu+664jb+uO0/eqquWrUqbbPNNmnbbbdN8ViAffbZJ+23337FuDFm1aIIECBAgAABAgQIECBAgAABAgQIEKgJCKTWMMb5dY899kjxz0CAAAECBAgQIECAAAECBAgQIECAwPQLuLV/+utIDgkQIECAAAECBAgQIECAAAECBAgQmLCAHqkTroBvfvOb6bbbbkv33ntv8W/16tVpu+22K27tjxdUxd8GAgQIECBAgAABAgQIECBAgAABAgQmKyCQOmb/eA7queeem84///y0fv364rmovbKw1VZbpX333Tc98YlPTEcffXQ68sgj0xZbbNFrcuMJECBAgAABAgQIECBAgAABAgQIEBiRgFv7RwS7MNlbbrklnXLKKemHf/iH00te8pJ05ZVXLhlEjfk3bdqUvvSlL6UPfOADRSD1CU94QvrkJz+5MGl/EyBAgAABAgQIECBAgAABAgQIECAwYgE9UkcMHMnffvvt6RnPeEa65pprqqVFz9Jdd9017b777mmnnXZKa9asSVtvvXURPN24cWO666670oYNG9JNN92U7r///mK+6MH6zGc+M5111lnpZS97WZWWLwQIECBAgAABAgQIECBAgAABAgQIjFZAIHW0vumee+5JRx11VBVEPfjgg9Opp56aDjvssCKAutziv/vd76arrrqqeBzAOeeck+Lvl7/85WnvvfcubvVfbn6/EyBAgAABAgQIECBAgAABAgQIECAwvIBb+4c3XDKFCy+8sLiNPyY6/vjj07p164rP6IXaz7Bq1ap0yCGHpLPPPjtddNFFKf6O4dWvfnV68MEH+0nCNAQIECBAgAABAgQIECBAgAABAgQIDCkgkDok4HKzX3HFFcUk8XzTeMnUlls2J4+XTa1du7ZILx4TcMMNNyy3eL8TIECAAAECBAgQIECAAAECBAgQINCCgFv7W0BcKonLL7+8+PmYY46pepMuNf1yvx133HHpt3/7t4vJrr322rTXXnstN4vfCRAgQIAAAQIECBBYIQKvetWr0gc/+MHU6XRmpkS/8Au/kOIxZQYCBAgQIDDrAgKpI67Bm2++uVjCbrvt1sqSdtxxxyIgG89Kve+++1pJUyIECBAgQIAAAQIECMyGwGc+85l0xx13zEZm/yeXl1xyyUzlV2YJECBAgEAvAYHUXjItjY8eo1dffXXxnNQXvehFQ6cajwqIIGoMBxxwwNDpSYAAAQIE5lfg3nvvTbfddtvMAGy11VZpl112mZn8yigBAgRGKfC2t70t7b777qNcxNBp33nnnenFL37x0OlIgAABAgQITIuAQOqIa+LAAw8sAqkXXHBBOvHEE9Ohhx7aeIlx5fm0004r5t9hhx3Snnvu2TitQWa8/vrr06c+9alWbh/60pe+VCz6gQceGCQLY5/2yiuvTFddddXYl9t0gVtssUX62Z/92bTPPvt0TeK///u/0/nnn582btzY9fdpHBm9r5/znOekKFu34dJLLy22rW6/TeO4KEc85/gxj3lM1+zF9v3Rj360ulDSdaIpG7nrrrumX/7lX+6Zq89+9rPpq1/9as/fp+2HeIb1scce2/Ok9Dvf+U76sz/7s7Rp06Zpy3rP/PzIj/xIeuYzn9n19wiiPvrRj0633npr19+ndeTb3/729MpXvnLJ7MW+5u67715ymmn48f777+8rG1GWiy++uK9pJznRV77ylb4X/4UvfCHdcsstfU8/qQn7fbFnXJCYhTqKx0L1O8TF+2984xv9Tj6R6QZpj//rv/5rJupoEPN//ud/TnGcPs1DP3fQRbD1ta997Uz1sn3Ywx6W3vKWt6Q4J+s2xH7o85//fCvnT93Sb3tcHKc+/elPT/vtt1/XpOMc4rzzzktx7DArw3bbbZd+7dd+LT3kIQ/pmmXne11Zxjpy3s73xoprYaMVyM/WMYxQIB/cdFatWhUPMOrkxrzzgQ98oJNPnAZeYt4Zdw4++OAinUjrjDPOGDiNpjMcffTR1XJj2W38ywGyptkZy3z56n4r5WzDqt808sFPT5s/+IM/mLnyRLlzMLtnmWJ76tdmWqbLzwfrWZ7cq2TmyhOuX/va17qWKZ/cdnLvwZkr0/Of//yu5YmR0e5Oy7o0SD5ysKprmb71rW/NZHny3R1dyxMj8wXLmSxTDsJ1LVNsX4PU9bRMmwPdXcsTI5/97GfPXJlygKGT7wbqWqbYT02L+yD5yAGgruWJkYcddtjMlSkHtXqW52//9m9nrjxRl+973/t6lumggw6auTI96lGP6lmej33sYzNXnqijfHG1Z5nyi4ZnrkyxXvUacoeMmStP1FFs/70G53vtnNcPsu/pNu08ne/1WheNnz0BPVLz1jzKIW7tf+tb35pOP/30FFdbTz755OJ79Ezdf//9i16lO++8c1qzZk1avXp10dMprvjdddddacOGDcVV5ssuuyytX7++yubhhx+e3vSmN1V/j/pLXCF+7GMfm/rtlbFUfqJc0RviDW94w1KTTfy3d73rXSncZ2WIq8jPetazemY3XlJ20003zVSP1Ec84hHFNtKrUO9///tT9GialSF6O/7Kr/xKz+xG79vo0TTtvbXrBYgeqb162MbV/3zhKF1zzTX1Wab6e+T5uc99bs88nnTSSUX9lI9X6TnhFP0Q+6BHPvKRXXMU+558kSXlYF3X36dxZNzav9RjcqKnavQOGqSX2qTL+bjHPS5tv/32XbOx9957p9gf3XjjjV1/n8aRP/ADP5BOOeWUnll73etel/bYY4/0ve99r+c00/ZD3F0U6163IX4788wz03/+5392+3kqx8Xx5gte8IKeeYtedjkI1MpxX8+FtPzDU57ylJ4pxjF3HDfPUu/7hz70oemEE07oWaa1a9emiy66aKZ6O+YAfc/yxLnN61//+pnqkbrtttum3NmkZ5ne8Y53pE9/+tMzVUdHHXVUz/LEXVX5gnK65557ek4zbT88/OEPT4ccckjPbDnf60kzth/m7XxvbLAWNHKBLSL2O/KlWEDxlso4sejn9paluI444ojiFu1et5EsNa/fCBAgQIAAAQIECBAgQIAAAQIECBBoJiCQ2syt0Vzf/va307vf/e70oQ99KOVbKvtOY+utt04RQI3eUEtd+ew7QRMSIECAAAECBAgQIECAAAECBAgQIDCQgEDqQFztTRy36a1bty5dd911xW38cdt/vEwiP081bbPNNiluF4lbMuPlQfHQ7xhnIECAAAECBAgQIECAAAECBAgQIEBgMgICqZNxt1QCBAgQIECAAAECBAgQIECAAAECBGZIYMsZyqusEiBAgAABAgQIECBAgAABAgQIECBAYCIC3V9BOpGsWOhyAvGm6FtuuaWa7FGPelT13RcCBAgQIECAAAECBAgQIECAAAECBEYnIJA6OtvWU/7yl7+cDjrooCrdTqdTffeFAAECBAgQIECAAAECBAgQIECAAIHRCbi1f3S2UiZAgAABAgQIECBAgAABAgQIECBAYIUICKSukIpUDAIECBAgQIAAAQIECBAgQIAAAQIERiewRb493P3ho/NtNeVNmzal73znO1WaO++8c/XdFwIECBAgQIAAAQIECBAgQIAAAQIERicgkDo6WykTIECAAAECBAgQIECAAAECBAgQILBCBNzav0IqUjEIECBAgAABAgQIECBAgAABAgQIEBidgEDq6GylTIAAAQIECBAgQIAAAQIECBAgQIDAChHYaoWUY2aL8c1vfjPddttt6d577y3+rV69Om233XZp2223TTvuuGOKvw0ECBAgQIAAAQIECBAgQIAAAQIECExWQCB1zP533313Ovfcc9P555+f1q9fn+LvXsNWW22V9t133/TEJz4xHX300enII49MW2yxRa/JjSdAgAABAgQIECBAgAABAgQIECBAYEQCXjY1ItiFyd5yyy3pjW98YzrvvPOWDJ4unK/+9+Mf//h05plnpqOOOqo+2ncCBAgQIECAAAECBAgQIECAAAECBEYsIJA6YuBI/vbbb0+HHnpouuaaa6qlRc/SXXfdNe2+++5pp512SmvWrElbb7112rRpU9q4cWO666670oYNG9JNN92U7r///mq+LbfcMp111lnpZS97WTXOFwIECBAgQIAAAQIECBAgQIAAAQIERisgkDpa33TPPfekZzzjGenKK68slnTwwQenU089NR122GFFAHW5xX/3u99NV111VfE4gHPOOSfF3zF88pOfLG71X25+vxMgQIAAAQIECBAgQIAAAQIECBAgMLyAQOrwhkumEMHPF7zgBcU0xx9/fPFs1OhV2mT41Kc+lZ71rGcVwdR4durVV1+dmqbVZPnmIUCAAAECBAgQIECAAAECBAgQIDCvAs0ievOq1aDcV1xxRTHXE57whKJX6TCBz3jZ1Nq1a4v04jEBN9xwQ4McmYUAAQIECBAgQIAAAQIECBAgQIAAgUEFBFIHFRtw+ssvv7yY45hjjkmrVq0acO7Fkx933HHVyGuvvbb67gsBAgQIECBAgAABAgQIECBAgAABAqMTEEgdnW2R8s0331x87rbbbq0saccdd6wCsvfdd18raUqEAAECBAgQIECAAAECBAgQIECAAIGlBQRSl/YZ+te99tqrSKN82dSwCcajAsoXTh1wwAHDJmd+AgQIECBAgAABAgQIECBAgAABAgT6EBBI7QNpmEkOPPDAYvYLLrggXXrppcMkle6444502mmnFWnssMMOac899xwqPTMTIECAAAECBAgQIECAAAECBAgQINCfgEBqf06Np3rNa15T3Iq/cePGdOyxx6azzz47PfDAAwOnd/XVV6fDDz88xWcMJ5988sBpmIEAAQIECBAgQIAAAQIECBAgQIAAgWYCW3Ty0GxWc/UrsHbt2nT66adXkz/sYQ9Lhx56aNp///2LXqU777xzWrNmTVq9enXatGlTiqDrXXfdlTZs2JCuv/76dNlll6X169dX80dA9ZJLLklbbikOXqH4QoAAAQIECBAgQIAAAQIECBAgQGCEAgKpI8StJ33OOeekU045JQ37gqgjjjginX/++Slu7TcQIECAAAECBAgQIECAAAECBAgQIDAeAYHU8TgXS/n2t7+d3v3ud6cPfehD6Vvf+lbfS956661TBFBPOumkdPTRR/c9nwkJECBAgAABAgQIECBAgAABAgQIEGhHQCC1HceBU7nxxhvTunXr0nXXXVfcxn/nnXemu+++u3ie6jbbbJO23XbbtNdee6V99tkn7bfffinGGQgQIECAAAECBAgQIECAAAECBAgQmIyAQOpk3C2VAAECBAgQIECAAAECBAgQIECAAIEZEvC2ohmqLFklQIAAAQIECBAgQIAAAQIECBAgQGAyAgKpk3G3VAIECBAgQIAAAQIECBAgQIAAAQIEZkhAIHWGKktWCRAgQIAAAQIECBAgQIAAAQIECBCYjIBA6mTcLZUAAQIECBAgQIAAAQIECBAgQIAAgRkSEEidocqSVQIECBAgQIAAAQIECBAgQIAAAQIEJiMgkDoZd0slQIAAAQIECBAgQIAAAQIECBAgQGCGBARSZ6iyZJUAAQIECBAgQIAAAQIECBAgQIAAgckICKROxt1SCRAgQIAAAQIECBAgQIAAAQIECBCYIQGB1BmqLFklQIAAAQIECBAgQIAAAQIECBAgQGAyAgKpk3G3VAIECBAgQIAAAQIECBAgQIAAAQIEZkhAIHWGKktWCRAgQIAAAQIECBAgQIAAAQIECBCYjIBA6mTcLZUAAQIECBAgQIAAAQIECBAgQIAAgRkSEEidocqSVQIECBAgQIAAAQIECBAgQIAAAQIEJiMgkDoZd0slQIAAAQIECBAgQIAAAQIECBAgQGCGBARSZ6iyZJUAAQIECBAgQIAAAQIECBAgQIAAgckICKROxt1SCRAgQIAAAQIECBAgQIAAAQIECBCYIQGB1BmqLFklQIAAAQIECBAgQIAAAQIECBAgQGAyAgKpk3G3VAIECBAgQIAAAQIECBAgQIAAAQIEZkhAIHWGKktWCRAgQIAAAQIECBAgQIAAAQIECBCYjIBA6mTcLZUAAQIECBAgQIAAAQIECBAgQIAAgRkS2GqG8iqrK1Dgy1/+cvr3f//3tO+++6ZHP/rRK7CEikRg9AK2o9EbW8LKF7Adrfw6VsLFAtb7xSbGECCw8gS0dSuvTpWIwCQFBFInqT/ny/7P//zPdOihh6ZNmzala6+9dpHGxRdfnD75yU8uGt9txEMf+tD0e7/3e91+KsZ973vfS3/6p3+a/uzP/ixdd9116a677ko/+ZM/mQ455JB05JFHpoMOOqjnvPUf2kqnnubC7w8++GB6yUtekuKzn+GXf/mX09Of/vRFk7aVTiTctNw/8RM/kb75zW8uylvUxRFHHLFovBGDC/Tajl70ohcV9TZoirvuumt605ve1HW2puvBwsS+/vWvp7e97W3p//7f/5vi+6Me9aj05Cc/udgeY33+wR/8wYWz9P13tBkf+9jH+p6+PmGYHXzwwfVRaRraIdvRZlUykj96bUf1hd16663p3e9+d/riF7+Yrr766rRx48a01157pac97Wnpt3/7t9MP//AP1yfv+X0WtqOFmf+bv/mbFP+i3F/72tfSLrvskn78x388nXTSSenYY49NW2yxxcJZNvt70tvRRz/60XTqqadulqf44/GPf3z6u7/7u0Xj52VEP+t9N4srrrgi/fRP/3TafvvtU2wXoxx+/ud/Pn36059Ov//7v18cGy23rDbXteWWNe7f22o7/uu//iu9/e1vT1dddVX6t3/7t3T//fen3XffvTgu+/Vf//X0oz/6oyMr2qjWne985zvFeUAcV8Rxfqzbe+65Z1GWWFdPOeWU9AM/8AMjK9coE27rmOmiiy5KH/7wh4s6v/HGG9MjHvGI9LjHPS495znPSb/6q7+aHvKQhywqxko5/mja1g3a/iwCHGBEnJv+zM/8TPrWt76VnvWsZ6UPfOADPedu8xyv50Im+ENbbV2Tdb6tYo+irVvJ+7dwb6Ota7p/a9TWdQwEJiSQdxKdvM10ctCmaw5+5Vd+pfg9plnu33bbbdc1jRh58803d/LJUs80ttpqq855553Xc/7yh7bSKdPr9fnVr361Z167ObzrXe/qmlRb6QxT7hwg61qWvGPrmmcjBxfotR3Fet1tfVlu3I/92I91zcQw60E9wXe+852dVatW9czbT/3UT3Vuu+22+iwDfX/zm9/cM+3lyv7nf/7ni5Y1De2Q7WhRtbQ+otd2VC7o4x//eGfnnXfuuW7lE/TO2rVry8l7fs7KdlQW4Pbbb+/kk+ye5Y5tav/99+/kO0vKWbp+Tno7+uM//uOuZYi8z/Ow3HrfzSba57333rvw3HHHHbtN0tq497///VW95UBqX+m2ta71tbAxTtRW2/HBD36ws+2221auC/eL+UJmJweuR1KyUa0773nPezoPf/jDe5YpypiDw53Pfe5zIynXKBNt45gpB+Y6T33qU5f0OeaYYzr33nvvoqKslOOPJm1dk/ZnEeAAI5773OdWdRTt2FJDW+d4Sy1jUr+10dYNs863Ue5RtXUrdf8W5m20dcPs35q0damNlUUaBAYVuPDCC4udRe7B03XHHemVB+oLD/K6/d0rkHrnnXd2nvCEJ1Q7pjhpet3rXtfJV/k6+eprZ82aNcVvuTdN533ve1/PYrSVTs8F1H7IPWeq/HYr68JxvQKpbaQzbLnPOeecwjVsc8/fqlwCqbUKH+LrUttR00Bq7hm6KEfDrgdlgh/60IeqdWD16tWd5z3vecW2+NrXvraz3377Vb/lR3104iCoyTBMIPWzn/3sokVOQztkO1pULa2OWGo7igXlOxmqdTPa39inxDr7J3/yJ53cE7Wz0047Vb+/8pWv7Jm3WdqOohAPPPBAJ7bFcp8TweI40fuDP/iDzjve8Y7O4YcfXv0W+/J8Z0nPsk96O/rKV75S7Ytif1SWaZ4Dqcut990qM9bh3Gu/8htlIPX888/vbLnlltWy+g2ktrGudSv7JMe11XZ84hOf6MTxbrn+x0l5bM/Rlp188snVRc642Bn+bQ6jWnc+8pGPVOWJcuUehJ23vvWtnXznU+d3fud3Ovvss0/1exzzR1swK0Mbx0zRjue77yqD3XbbrfO7v/u7nXA788wzNzv2iukWXsheCccfTdq6pu1P03XrggsuqOoo1uPlAqltnOM1zeso52ujrRt2nR+2fKNq6yJfK3H/FuVqo60bdv/WpK0TSI3aM4xV4I477ug88pGPLHYYvQ6M//u//7s6gP7Zn/3ZTr4lY8l/t9xyS9cynHbaadWOKd8y3Mm3L2023T/+4z92IggbO60IPP3Hf/zHZr+Xf7SVTpneUp9xIl4e5EavgOXKfs8993RNro102ix3HLiV5RJI7VplA41cbjuKo6HLGQAANmVJREFUQGQ///7pn/6puqAQvVTiKvfCoY31IN9qUS0ntrnPf/7zmy0mDnyOP/74ah158YtfvNnv/f4RbUc/5Y5pTjjhhGp5+XbGRYuYtnYoMmg7WlRNQ41YbjuKk8p6T9Tf+q3fKgKM9YXGfuNJT3pStS716vU0S9tRlO8tb3lLVaZ8228n3wZcL3bx/Y/+6I86+XbQYrro8dRtmMbtqNwXzWsgdbn1vls95tsUO/lxDtU6EYajCKRGr7jTTz+9Wq/Kuup1vFjPa1vrWj3NafjeRtuRb32vjncjQJ1vEV1UtPzYkk5+VFZRx3FMfNNNNy2apsmIUa073/jGNzoPe9jDivxG8Dc/1mdR9uLY4qUvfWm13sY2H+OmfWjrmCmCyeU2lB8D1rn77rs3K/p3v/vd4gJZOc1v/MZvbPZ7/Y9ZPP4YtK0bpv2pWw3yfcOGDZ38mJSqnqIulguktnGON0gexzVtG21dm+v8oOUeVVsX+Vip+7c22rq292/9tnUCqYNuIaYfWiA/l6nYWeywww6d/Iy5rulFQ1Tu1KNBbDLERrXNNtsU6cRJ4MIgaplmHEyWy3r9619fjq4+20qnSnCZL2UvnziIve+++5aZuvfPw6bTdrn7bZR6l8gvdYF+tqP69N2+x/oVJxWx/kcvlfwMxEWTtbUenHHGGdV2Fj3Cuw35mUhVb6fYdvPzorpN1sq4uI2/3O7jcQLd2odpaofKQtuOSol2PpfbjqLHabmePOMZz+i50Py8uU70so5p41EyC4dZ247ys62rCx9Rprjg0mv4zd/8zcroL//yLxdNNo3bUVmn8xpIXW69r1dinLzFdlDvHVr6tR1IvfTSSzuPfexjq/WpXE589hNIbWNdq5d9FN/zMymL28zjokw/Q1ttR1z0KD2jPnsN8bitcro3vvGNvSbra/yo153oeVrmNY4xeg35XQzVsUVMv27dul6TjmT8H/7hHxZ1Ho8XWKrnfn3hbRwz5edodsrbVSNAHrdMdxsiuFo+GiF67fY6N5vF449B2rph259utsuNizo67LDDivW4vCgQ6+hygdRhz/GWy9ewvzdZ59to69pe5/t1GHVbF/lYifu3KFcbbV3b+7d+2zqB1KhBw9gE4ipw3AIYO4kXvOAFPZcbtxqVB0fdrjD3nLH2QwRryjTiYGupIQ5uYtr8op1FV6rbSmep5dd/K3vrxq3OwwzDptN2ufttlIYp87zM2+92tJxH9MIst5HoAdRtaGs9yC+nKZYVB4rdgpblsuu3US/1uI1y+iaf+eUa1UWW6B3bqyf6NLVDZTltR6XE8J/9bEcHHHBAtY0sd0to9KIut6eFPbtnbTuKiyplWX7pl35pSey4I6ScttvJ3zRuR2V+5zGQ2s96X1Z4BJzyC3uq+o1gapz0lO15W4HUOPmN7ad+23k8r7vek7CfQGob61pZ9lF9lo/d+cVf/MW+FtFW25Ff8FnV47/8y7/0XHbcLVJuH3GXSNNhHOvOz/3cz1V5jYtZSw1xG3tZrlhPxjnUHzm0fv36vhZdbmPDHDNFHZRlPvroo5dcbv0ZqnGM1G2YteOPftu6ttqfbmbLjTvrrLOKOoq2tR4MWm7bG/Ycb7l8Dft7k3W+jbau7XW+H4dxtHWRj5W4f4tytdHWtb1/67et2zI3sAYCYxPIQZKUgxbF8uLt3L2GL33pS9VPBx54YPV9kC9XXnllNXm+cld97/YlPz6gGB1vdcy3ZW42SVvpbJZojz/iDffxtrkYmpY75m0jnXGWO/Js6F+g3+1oqRT/4R/+IeWDtmKSPfbYI+WdRtfJ21gP4u2w+Vb6Iv1DDz10yTfn5ivz1RvA8zOquuZp2JH51rWUrx4XyeSLLOmHfuiHuiY5Te1Q1wwaOZTActtRPrkq3m4cC8l3UKT8rL0ll5eDctXvC98EP2vb0b/+679WZYk3Xi815BO6ahuKdiUfF282ue1oM46J/7Hcel/PYH7mWLrhhhuKUdFOxnqdH/mQcjCwGJcDn/XJG3+PbS2fJFbrzgtf+MIUb1/PF5SrNPtZVhvrWrXA/OXqq69O+a6olINQKT9bMj3mMY9JOQCacpCg2qfVpx/F9zbajshXvjiS/t//+38p9qvxduJeQ7w5vBxy54Ly68Cf41h38gl4yo9VSbkzRMp3ni2Zx3pZcs/MntPmW93T2WefnU466aR00EEHpfwM7PSUpzwlveQlL0nxBvBxDG0dMz3xiU8s1tP8/Peex3hlecp6z49qKcpcjp/lz37burban0GtvvzlL6d8YaqYLd+qn5bb15bpt3GOV6ZVfq6Utm4S6/w42rqop7b3byuprRv3/q3cbgRSSwmfYxF497vfXSwnTkrzs3p6LjMa9BjiBC0OXmOIk7P8vKaUu/4Xfy/3X75CVEySr/Kl/HKQJSevH6znq8WbTdtWOpsl2uOPstzxcxzAlUMEfb7+9a+nfOtzOWrJzzbSGWe5lyyMHxcJ9LsdLZrxf0bEzjNOCsoh9/xM+bav8s/NPttYD8o0IuF6sGmzBf3PH3HSUp7wLNwWu00/6Lg4ibzsssuK2eKAK79go2cS5XY0De1Qz0z6obHActtRfm5Zyo+/KNKPE/XlhrggUQ714EeMK7eBYfZHZRqR3qi3o6997WuxmGIYpOzf/va30/XXX1/OWnzajjbjmPgfy633CzOYe50WwdPcyzo97WlPW/hzq3/HRe/8GIn0x3/8xz33SUstsI11LdKPwEpcZPvJn/zJouyf/OQnUwTf4jjsr/7qr1J+aWlxXBknb6Meyu1+mLYj8phfFlfkOb9otbpY2S3vf/u3f1uNPuqoo6rvTb6Met3JL5RK0dbmHpRLlinyHkHkcuh1ThDreHlckF/AVQTzb7311nT55Zen/Ab39Au/8Asp9xRMt99+e5nUSD7LOo/Eh23r8zO+U34szZKdM/JdBemaa64pypIfdVRcOBxJwcac6KBt3bDtzyDFy3dmpec85zkpPqOO3/CGN/Q9e9nOxQzDnCvG/CuxrZvEOj/qti7qqqz3Yc5JIp0YVlpbN4n9WzgKpIaCYSwC0duzvJpy7LHHpvxg+K7LjWBhuUOPXpn5mSApd9lO+faWFCeqj3jEI4orz/l2w+KgtmsieWR5MpcfJdBzWeW89SvZcUBWH9pKp55mr+9lIxm/5zfzFQfw+ba6lF8CVPSEyM+NLA7s8y1uVc+Nbmm1kc44y92tDMZ1F+h3O+o+9/fHvuc97yl2ovHXs5/97LTUyVIb68F1111XZSfW5+WGcnvMz+0qelcvN32/v0d6+REGxeTR6yLfRpTi5LTbMG3tULc8GtdcoJ/tKC74lUPZW6f8u9tn2es6fouT7/owa9tRnBSUwzBltx2VitPx2c96X89p3DkUveOi11Qch4xqiHY4gkef+cxnUn5zeKPFtLWuxcKPOeaY9NrXvjbFRcf8zMiUH0WV3vve96Z3vOMdRY/U6JEbFw2e9axnpXe9612N8tvvTG20Hf0uK4KHcWE1hjh2/pmf+Zl+Z1003bjWnUUL7jIi9v31O1wiQL5wyM/HLIKN5XlKBKhiHYg7d/IzZYterzFPfrt6yo98SfnN3AuTaO3vcR4zxXp85JFHFut6FCAC7SthGKSta6P9GdTs1a9+dYrOAltvvXU677zzlrxTa2HabZzjlWnOY1vX9jo/jrauzf3bvLZ1be7fyu3n+/fmlH/5JDBCgbjlrxyWuq0oesLkB50Xk0bPhG4H1dFTKP5dcsklxYFtfrZWmXTxmd9kX/XejCtTyw3RC64c8luay6+prXSqBJf5Ut85RoBr4QlsuHzhC18o/v31X/91iqvxj370oxelOmw64y73ogIY0VOg3+2oVwKxTsVtiTHEwWPcptlraGs9qK/HTbbHXrfe98p3r/G/93u/l+LgOoY48Fmqp8c0tUO9ymN8c4F+tqO4eJdf1FH0RMsvCCl6jsRJT68hrvCXQ35TcPm1tf3IOLej/Hb2Kv9xYTNuZ+41RK/duFukHOpltx2VKtPx2c96X8/pvvvuW/9zZN/jtv3oCTjM0Ma6FsvPLyJMn/rUp4qsxN1Kf/EXf5HyC7A2y1rc1RAX8+NRTNE7NT8buHq8xWYTDvlHW/vgXtmIiz9xnB3B2gsvvLDq7HDwwQcXt7H36vDQK736+HGtO/Vl9vqeX6CVotdlDPm5qmnhBd38Mqp0yimnVHcgvPOd70ynnnrqZhda4/g7v1ivOO6O9i56EMYxxSiGUbf1sf7G9pKflZs+8pGPpPym+uJxHXGxIMq4EoZB2ro22p9BzKLXd3RoiCF6vucXVA4ye9UzMWYa5lxxntq6Ua7z42jr2tq/zVNbN8r9W7nBCqSWEj5HLlDfqZW363dbaHk1OH6Lq8g/+IM/mOK5ik996lNTPA8pruDFrVVxi1UcZMbBz/bbb59OOOGEKrn6leLoTbDcUJ8mDijKoa10yvSW+6yXPQ6k8ssWikcgxK02ccB+1VVXFQe78ZiD/EKA4rld8Ryx6NJeH4ZNZ9zlrufd96UF+t2OeqUSz/4q6zeCI7GO9RrK6eL3+jbSa/r6NJPcjrrlL/JT9rSJg+boabLUUN+GJt0OLZVPvzUT6Hc7igPkuKU3eqatXbu253oTwcPymcORo/qtn7O4HdVPDKLndvTIqvfQratHMCF6S5RDvey2o1JlOj77Xe+nI7eD5aKNdS32E/GswhhifxbBxYVB1PgtempGL7IIysVx6Kte9ari7/gthm984xtFgOT7f23+f7mtRBArnsO5cMgvQEz5BTTF6LbajoXLKP/++Mc/nl70oheVfxafcXwejywoH7Gz2Y8z+Ed0OIjAaAzRq7reTpfFiTYuv0yw+DN6H7/iFa8of6o+V69enc4555wiABmPE4jjiXjeev0YKm4l7/ZIonrnhv/zf/5Pcc5SJfw/X37t136tONeJP0dd7/F4gvKicpmPeE7+SgmiRpmmta2LzjrPf/7zi7sK41EpL3/5y8sq6Puz3tY1PVdsq62zzvddbUNNWK/zpuckkYE22rq29m+Rn1G2dWPZv+WAjIHAWATybfrxBoriXw7+9VxmPoCppsu3FnW6vSk5H7h26m8cz7f7d3KgsUoz3jhZLis/G6ga3+tLDspW0+egbTVZW+lUCS7xJe8MN3tjbb4a3snPrlk0R76qVr3hLsr4+te/frNp2khnFOXOB2mVcX5g/2Z59kf/Av1uR91SzM9i6uTenUU95GBiJz8zrNtk1bi21oN4+2i5PeZnjVXp9/qSTyiq6fPL33pNNtD4eONzmYd8BX/ZeaepHapn1nZU12j+vd/tKNrb2FZi3ckn0p2LL7540ULzM6w78Qbucv2Kzx/5kR+pppvV7Si/hLEqU378RycHSKsylV/+/u//vpMvdlbTRdnPPffc8ufOtG5HZV3lXulVXufhS7/r/XIWuad2Uedx7DXKIT8rtVq3cuBqyUW1sa7lHlrV8nKQbMnlxY+Pe9zjiunzo2I6sX8th/yYgiqdcl3r9zPeYFwObbUdZXoLP1/zmtd0ci/7TtRn2c5FPnMQuZNvPe56DLowjUH/Hte6E/nKJ9Kd/BiGqi7yrZ1ds5uDodU0+UU+XacpR+YeytW0uTdyObr4rL85ut/6LqfLAY4qrVEeM+U7CIq6jvUs33VRlSXykXtGdvILkKp8LPwyS8cfbbR1g7Q/C616/X3ccccV5vmCSSf3bN5ssvr2HutAt6GNc7xIt622rq11vl72Yc7bu5kNs853S6/fcW22dW3s3yLfbbR1be3fIj+jbOuG2b/129Z1fzhcbk0NBNoWiGeSlEP5DMTy7/pnXB3/y7/8y+IKctxy1O1NyfFinD/8wz8snlMU88bz6OrPqarfjhTd2Jcb6tPEVedyaCudMr2lPqNXabwRN16y8OEPf7jokRA95xYO8VbHeLttOcRtIeUbyGNcG+mMs9xlOXz2J9DvdtQttXhGWLztM4Z4C3GvFy6U87a1HrSVTpmvQT/jYfr1W/CW640a6U9TOzRoeU2/vEC/21G0t9F7JIa4tTOeJxa38UbP7rjaHY/GiOflxT7rsMMOSw9/+MOLacvP+KOt9b+tdIoM9vFf7GfKRxnEy3aivYjbWePN1R/60IfSiSeemHKwNcX+M9qTcqiX3XZUqkzHZ7/r/XTkdrBctLGuxSM8yqHbY6XK38rP8lmb0cv0hhtuKEe39jnqbT5630aP2nhUVvRsi+PP2H7jcR1nnnlmyh0WWivLuBOKnqg5aFW0T7HseARD9DZdOETdRQ+rGOKW/+V64pZ1HtPXn2Uaf7c1jLLeI+24ayB6pEZvsHgkzc///M8XWY/etNHbunxPRVvlmUQ609jWxToZd1TGEO+6WOpcuJdZG+d4kfY8tXUrYZ1vY/82b23dOPZvbu3v1VIZ37pAuVOL26XihVG9hsc85jHFi5V6/V6Oj5fF5CsGKV5cFUP91pl4KVM5lM9bLf/u9lmfJm6rKoe20inTW+ozTlif/vSnLzVJ9Vu8OTRO3qOrf9xy+q//+q/FS6higjbSGWe5q0L50pdAv9tRt8TiVsRy6HZCUf5Wfra1HrSVTpmvQT/jgkx5khvPvFvqGc1l2tPUDpV58tmewCDbUdy6FrdSRbA0hrjdN/7Vh2c+85npox/9aBVIHcV+ZNzbUdzSHM+HjIDpd77znSLYEvvc+hCP3onAarwU8hOf+ETxU73stqO61uS/D7LeTz63g+WgjXWtHhjLPYCKl2wtlYsIPpZDzPujP/qjxZ/xvNf6BfpymviMY7Q4oY1nGy5sR+rTxfdRb/P1ix6xrBe+8IXFs2pzb770wAMPpHg5R5zAxzNTZ2mICz71tirfubXZ3/WyxPNOo6wxxIXm3Ius/vOS3+vrS0wYF5xyJ6tF88QFt8hDDHGu0u2ZmPUXX46y3uPcqWyjo7NGPJogngkcb5CPfVg8pib35Kra80WFmZER09bWRbD+t37rtwq9eKxWPMqhydDGOV4st77uDtPWWeeb1OLg87Sxf2urrWtr/xYKo2zrxrF/0yN18HXZHA0E4up2/IuhrRfHRFoRFCmH+hXUeElIOdQPdMtxCz/r09TfTNtWOguX18bfvco+aNrd0pnmcg9avpU0/TDbURxUxsPWY4idS9kDYSmfttaD+jZV39Z6Lbs+TX3eXtMvN74MgMV0o3gjbbdtKJbVll+kZWhPYNDtKNbBCCjG8/GiV2a8sbsc4rndccIevUwi2FgGT8oT1ZiurfWgvi3Ut5EyLws/69PU51043VJ/Rw/c2LfGy9nqL2WME/B8S1/Kj94oeqXeeOONVTL1slcj+/hiO+oDaYhJBl3vh1jU1M/aa12Lly6VQ+wz/+M//mPJf3GBpRziuf31IQJW3f6VdxpF4Kzb7zGuHNpqO8r0+vmMIF+8aKkcIpg6K0O0v3GRONrkGMIynglY/l2MXPBfvc7z4xmWrO9yfSiTWFjn/dRp7D+61Xu5XkTa9fa63o6Xy134WZ+mPu/C6Zb6O3pIxt1+MURwbOEzVJead9p+m7a2Li6cROA02osdd9yx6O0dAeuF/+r1GMH98vf6XYeDWo+6rWtrnZ9EW7eS1vn6etFPnQ/b1nVrw2Jc2Y71s15EnuvtVX39r5en/r0+TX3e+jRLfW97//a/ZwNLLdVvBIYUiNvlo2t99J6MjbetIa4cx0YbV4DjJLYcotdrBGzj6nLcsrTcUJ8mTozLoa10yvTa/KzfEhKPNmg6dEtnmsvdtJwrYb5htqOPfexj1Qth4na3uKq93NDWerDXXntVi6pva9XIBV/KaeKEIw46hxmibfjrv/7rIoloK/LzeIZJruu8o26Hui7UyMYCTbej5z//+Sn+xR0M+XlexcuXou7jgDGGuNpfDvUX1Mz6dhS3ul5wwQVF0WLbjNtC99hjj80OgMuyx4F0fj5syTDQp+1oIK6BJ2663g+8oBmYode6Fj2syyGCb4Psf/p5FECZdr+fbbUd/S6vnC5e8Bq39sdQ77lW/j6Nn3GCHT394o3oMURdxlvJ648d6Zbvep3HbfuD9BSs34LfLe2m4yZxzBQvE4yXDP7zP/9zke0IMC/3mIOm5Rv1fNPW1sU5Wty1EUOcq0bvwuWGOG4tj13jZctx0bLJ0O0cL9Kpr/fz2tatpHW+vm70s3+b57auzf2bQGp9zfN9ZAIRwNh5552Ltx8vF/SLg6F4Q31cUay/Obhb5uKkrryNpn7iGtPGs1UjkBrpRc+Cem+ahWnVDxQX3sLUVjoLl7nw77iSHvmMf/klW8sewJcnrpHO3nvvXSXXVjrjKneVcV+WFRhkO1qYWNx+Ww6DBBPbWA8ijXKo9/4ox9U/42JLuW7H9h8HxMMMX/jCF4oeJpHGk5/85L6fSTVt7dAwBubdXGCY7ShSinUyv6Ro80TzX/EW7nJ4ylOeUn4tPmd9OyoLE2/0jn/1IbbZ/IKSYlT02F3Ys2Sa9uf1fM/b92HX+2n3aqPNjmOpeFZ9DHGi2c+dG6N2aaPtiOeER6/xuL04vh9++OFLZjuO18shnqE67UOcV8TzmvMLNIusRgAwvxgwxSMKlhvqx88x7Ute8pLlZhn5720dM8UzUOOYK+o9nn1ar9duhaj/Pgv13q0MMW4lt3VtneOt1LZupa7zbe3f6tvMSmnrJrl/+343irqq7wRGJFBe2YzePL120OVtDxEUjWdw1J9d2i1b8WzQcojn/NSHmL8cyluay78Xfv7jP/5jNao+X4ys/z1MOtUCenyJF+BEL9rokp/fTttjqv8d3avsbaUzrnL/b4l860egn+1oYTpxsaG8Gh6/1et24bQL/65P23T9j3W67AG7XBpXXXVV1Wu9vuyF+er378svv7yatN/0prEdqgrhSysC/W5H8XzdeLFh9Ngon6PXKwPlLbBxErewd1p93VtuG+i1PxrndhS3FMYzld/5znemT3/6072KXIz/m7/5m+KFj/FHPYBsO1qSbSI/9rveTyRzQyy0rXWtHlT74he/uGyO4jn10YPvlltuqS7qLzvTgBO00XbEnWARnMtvwy7uyohgzFLDV77ylernbheNqh+n4Eu0VREYLoOocetm1Ek/QdTIfnSyKJ+lF48xiQtDSw333ntv+sxnPpO+9rWvVY8sW2r6Jr+11dbHSzYPOuig4tEsH/nIR5bNyizV+3KFmaa2Lnp//s7v/M6y/04++eSqWLG9lvPUe0m3dY63Utu6lbjOt7V/W6lt3UT3b/kE20BgLAL5ZRzxBPbiX+4B2nOZ+QS0mi7fjtxzuvghd8+ups0HCZtNmw9wq9/yC6k2+63+R+791sm35xTT5gOO+k/F97bSWZTwghH5dqQqv/nAtZOvsCyY4n///Id/+Idq2vxyg04+KK5+bCudtsudAxFVnnPvyCq/vgwm0O92VE81B90r+3ybT/2nZb+3tR7ENlhu//kEtedyf+M3fqOaLr+8pud0/f6Qn+1YpZffNN7vbJ1pa4fKjNuOSonhPvvdjs4444xq/fnsZz/bc6FXXnllNV3uxbZoulnbjvKBeye/HbgoU+7Jvag89RE/93M/V5V93bp19Z+mdjsq26LY187T0O96v5xJvnWwqPP84tDlJh3q9/wW+WrdyheYl0yrjTY71t9y3cgXtju5F1DPZeaAWif34Kumz0GontPWf8iPrCnmybeh10f3/N5W25F7bFZ5XW7fGm1Y6fDBD36wZ96a/ND2upPvsKnymu8o6+RbpwfOVn7ec5XGWWedteT8OVBTTRvHF/0Mb37zm6t51q9f388snTaOmfKFwGq5YbPUEOt+vghYTB/rfrdhlo4/2mjrBml/unkNOi4/Mqiqr1ivuw1tneONuq1rss630da1vc53q4N+x7XZ1rWxf4t8j7qtG3T/Fnlqo61re//Wb1sXV1ANBMYi8Pa3v73aQSwMetYz8I53vKOaLoI+t912W/3n6vt73/vearr8Bvuugcd8RbqYJg4Ocu+aat7ySxwI5yv0VTr5hSLlT5t9tpFOflRBJ99mXP3LDx/fbBnxe34eV5WXXgdzuedD58d//Mer6RYGJdtKJzLXRrnLQvbbKJXT++wu0O92VJ87AojlSdGRRx5Z/6mv722sB/k2uyoPcUCfn7O4aNn5BQfVRY3cq6TrNr3cdrQw0WhDyrLn3q4Lf+759zS2Q5FZ21HPKhvoh363o9x7tFp/nv70p3cWttux0LgYl58LWk2Xb/HvmpdZ246ivLHtxP4zLt51G+onS/nFVIsmmdbtqGwT5i2Q2u96v6giF4wY5AQxto/y2CffXr4gpaX/HCSQ0da69ku/9EvVtnzSSSdtdqG6ntt8W2Q1XZzE9TvEfi4Cmb3aiW7ptNF25J71VX7zM447+RbYbovq1KeL/efCffWg++CFCxlk3cm9Q6t1J9ahfFfAZsnlxzBUZco9EDv5BUmb/d7vH7k3ayc/37lIK79FutMr2BmBrvpxegRt+hmi80jUefxbKjhfT6uNY6bwy48Kq4ze85731BdRfY/zrHxXXzVdr/OPWTr+aKOtG6T9Ccxh2rqYv59AapvneKNs65qs82EwbFvX5jo/zrZuuXWnrf3bqNu6Jvu3Ntq6+n5rmP1brIMx9NvWCaR+38v/YxCo94rLty/0XGI0gvUrL/mh3J2Pf/zjneghE7/FFavnPe951Q4/P6+uc+mll3ZNL3oJlVdY8wtBOnHSl58VVByM5dsnO/mZQVU6T3rSk7qeJEfCbaRT30HGSVx+C+OiPEcDVM/vKaecUuQ3eqdGADU/OL+TX4ZV5blXUKytdNood1nIfhulcnqf3QX63Y7qc59++unVOvPKV76y/lNf39taD+pXQiOA8fd///edOFC5+eabO3GAX/YMj221V4+ZfrajslD5ESJVuWO76rbNldMu/JzGdijyaDtaWFPN/u53O4rAaf3OhzjxuPbaa4sgfxz4nnPOOZ0999yzWs9e/OIX98zQrG1H0QM3tsXYX+VbwjpxATS2oXwbVefzn/98J/bjZUAyv7Sh89WvfnVR2ad1OyrzPW+B1H7X+0UVuWDEIMGw+noSgclBhkECGW2ta//+7//eyW8vr9btOB7NL3opAo9x909+HnDnhBNOqH6PaQe5SDdI+ctp22g74jiyvg/Otw538mM7OrGfDLsoV36ZXlWu2PZjO184DLIPXjhv/D3IuvOtb32ryk9ss3GsUA7RDsUdWeW2nG9V7hx11FF9/YuOGAuHl770pVVacV6RH2tStfURTI4L0hGsLZfXb4/ihcsZ5O96fTU9ZoqLgWWQOHqLnXbaaUXAL/KRn1/dyS8S7EQP1LJccVGg1x1xs3T80UZbN0j7E57DtHUxf33b6tUjNaZr6xxvpbZ1ba3z9fqI7WOQc4iop0HauuXWnbb2b5GvldjWtbV/C58Y+m3rBFK/7+X/MQnkN1EWO+vobbbUEAdL+Tmp1Y49GrAIhJS3GpY7/PzSi+Jq9VJpxUFCfj7NZmmVAZsynQjW5pc8LZVMcbAxTDr9Nshve9vbqoOeMn9xUFd+Lz+jIYyGtdfQVjpt+fXbKPUqj/H/K9DvdlTOkZ+vVK0/5557bjl6oM821oO45S4/y6zKS6zLC7fFGPeud72rZ9763Y4iga9//evVsqLH4KDDNLZDtqNBa7H39P1uR/mlhZtdwIp1ND/zt1q3yjb5xBNP7HkCWuZi1raj17/+9ZuVs9t+ePvtt+8s9biOadyOyjqbt0BqrIf9rvflOtvts80TxG7pl+MGDWS0ta7FRb763QyxvsS6X962WK4/sf+65JJLyuyO9LONtiOOc/ML4TbbpiNguvDYetttty0Ch90KNMg+uNv8g6w7SwVSIwhc1sOgny984QsXZS2CJPVHC5VpLrSJ8RFszO9wWJRG2yPaOGaKPL3//e9fdKzV7bwiyrVUr95ZO/4Ytq0btP1ZLhi23PpR37aWCqRGOm2d463Utq6Ndb5eH7HdTzKQGnXe1v5tpbZ1bezfwjmGfts6gdTve/l/TAIve9nLigOfOCDdsGHDkkuNq83RlX277bZbdLAUvWOiZ1D00uxnyA+Q78TzT8ursvUDpMhTfuNnP8l0hklnkAY5ut4/7WlPW1TuOIiPg+APf/jDfeW3rXSGKXeZ0X4bpXJ6n70FBtmOIpU4OC7X+aUCHr2X+P1f2lgPoodfPHcyerCVeSo/99133+JK+1L5GGQ7qj8rKZ6X1WSYtnbIdtSkFrvPM8h2FAdov/mbv7loHxLrbqy38ViYXr14Fi591rajuCNk4YXNKHcEk+OuieX25VH+aduOyjZnHgOpg6z3C9fd8u9BgmHDBBcGDWS0ua7FLdgvetGLOnGhoFxfys84lnzuc59b9FgsTcbx2UbbERfg42Jlt2PrCAwfd9xxm/X8XFiuQfbBC+eNvwdZd5YKpMbt52V9DPrZLZBa5jV64kebvvB8IZYRgbnombpUJ4YynbY+hz1mKvMRPTTrx4J1s7j9v5+L7LN2/DFsWzdo+zNMWxf1VN+2lgukxvRtneOt1LZu2HW+Xh+xvUw6kBp13uax1Eps64bdv4VxDP22dVvExHnlMBAYi0C85TLeRJhPONMb3/jG9LrXvW7Z5ca0+RbK6g2ZP/ETP5Ee/ehHLztftwnibZtXX311yrczpNxDLeXbglI+mOw26ZLjhkknB4BTvgKY8pXmlAPKSy4n79yKcueedUWZ80lfWrNmzZLzdPuxrXSGKfcb3vCGlBumInv5ua4pP1y6W1aN60OgyXbUR7J9TzLMelBfyA033JDyozqKdTreIJpvkU65d0x9kp7fB9mOeiYywA/T0g7ZjgaotGUmbbId1dvSfDEg5QBjys9jWrYt75aVWdqO6ut/frZiyndxpNhmH/awh3UrWs9x9XTyYz3SpPbn5b439qnRBs3T0GS9n0WfNte13Cs95edmpnwbfHHsGMePg677bRq20XaET37UVcqP5CjePv+4xz2u2KZzMLWvrI57H9xXplqcKPc4TTmQkvKzHlO87TrqPAeB+z5GaTErVVLDHDOViUT7nQNMKc4rcgA1Rb0/8pGPLH9e8nPWjj/mpa2rH5fE+XHTc8Wo/JXY1g2zzofJNLZ1be7fVmJbN+z+rd+2TiA1thDDWAXyVbaUb1EqTj7jIK48oRlrJia4sHy7WHHgkm8Hm2Auxr/ofhul8edsNpdoO7IduSAx/LZrO5rP7ag87pjHQGpsNfO+3g/fckhhXo9l57nmZ/E4Xls3z2tsO2XX1rXjOEup9NvW9df1Z5ZKLq9TL/Da1762CJ7mt7cWPTOnPsMtZjC/VS7l2yDTk5/85BZTldQ8CtiObEfzuN63XWbbke2o7XVqFtKb5/V+Fupn2vPoWHbaa0j+SgFtXSnhs4mAtq6J2vzMI5A6P3U9NSXNzx5K+W2XRX7OPPPMqcnXqDNy/fXXp/w8uZSfq5Ve9apXjXpx0l/hArYj29EKX8XHUjzbke1oLCvalC1kXtf7KauGmcyOY9mZrLa5zbS2bm6rfuiCa+uGJlzxCbi1f8VX8XQWMD9Avri9/bbbbktxi/sRRxwxnRltOVef+9znUn6JVMupTm9y8Ry9/JbBIoObNm1K+aH5xXe3JLdTZ7ajdhynPRXb0WhryHY0Wt9pSP1P//RPU34RSJWV/MKG4vu83tofhZ/X9b5aCXxpLDBvx7KNoVbAjCvh+ENbtwJWxAkVQVs3IfgJLLZJW6dH6gQqyiJT2mWXXdL73ve+giJ6Z8ZDgedhmKcgatRnnKyW/8og6jzU87jKaDsal/Rkl1NuQ/FpO2q/LmxH7ZtOW4qx3dS3o2nL3yTyM6/r/SSsV9oy5+1YdqXV3yDlqbebs3r8oa0bpMZNWxfQ1tU1Vvb3Jm3dViubROmmWeCEE05IV111VfEm1Ph80pOeNM3ZlbcGAu9973tTvF124XDggQcuHOXvhgK2o4ZwMzSb7Wj0lWU7Gr3xJJfw1Kc+NX3kIx9ZlIXtt99+0bh5GmG9n6faVlYCgwuslOMPbd3gdW8OAvMk0KStc2v/PK0hykqAAAECBAgQIECAAAECBAgQIECAQCMBt/Y3YjMTAQIECBAgQIAAAQIECBAgQIAAAQLzJCCQOk+1rawECBAgQIAAAQIECBAgQIAAAQIECDQSEEhtxGYmAgQIECBAgAABAgQIECBAgAABAgTmSUAgdZ5qW1kJECBAgAABAgQIECBAgAABAgQIEGgkIJDaiM1MBAgQIECAAAECBAgQIECAAAECBAjMk4BA6jzVtrISIECAAAECBAgQIECAAAECBAgQINBIQCC1EZuZCBAgQIAAAQIECBAgQIAAAQIECBCYJwGB1HmqbWUlQIAAAQIECBAgQIAAAQIECBAgQKCRgEBqIzYzESBAgAABAgQIECBAgAABAgQIECAwTwICqfNU28pKgAABAgQIECBAgAABAgQIECBAgEAjAYHURmxmIkCAAAECBAgQIECAAAECBAgQIEBgngQEUueptpWVAAECBAgQIECAAAECBAgQIECAAIFGAgKpjdjMRIAAAQIECBAgQIAAAQIECBAgQIDAPAkIpM5TbSsrAQIECBAgQIAAAQIECBAgQIAAAQKNBARSG7GZiQABAgQIECBAgAABAgQIECBAgACBeRIQSJ2n2lZWAgQIECBAgAABAgQIECBAgAABAgQaCQikNmIzEwECBAgQIECAAAECBAgQIECAAAEC8yQgkDpPta2sBAgQIECAAAECBAgQIECAAAECBAg0EhBIbcRmJgIECBAgQIAAAQIECBAgQIAAAQIE5klAIHWealtZCRAgQIAAAQIECBAgQIAAAQIECBBoJCCQ2ojNTAQIECBAgAABAgQIECBAgAABAgQIzJOAQOo81bayEiBAgAABAgQIECBAgAABAgQIECDQSEAgtRGbmQgQIECAAAECBAgQIECAAAECBAgQmCcBgdR5qm1lJUCAAAECBAgQIECAAAECBAgQIECgkYBAaiM2MxEgQIAAAQIECBAgQIAAAQIECBAgME8CAqnzVNvKSoAAAQIECBAgQIAAAQIECBAgQIBAIwGB1EZsZiJAgAABAgQIECBAgAABAgQIECBAYJ4EBFLnqbaVlQABAgQIECBAgAABAgQIECBAgACBRgICqY3YzESAAAECBAgQIECAAAECBAgQIECAwDwJCKTOU20rKwECBAgQIECAAAECBAgQIECAAAECjQQEUhuxmYkAAQIECBAgQIAAAQIECBAgQIAAgXkSEEidp9pWVgIECBAgQIAAAQIECBAgQIAAAQIEGgkIpDZiMxMBAgQIECBAgAABAgQIECBAgAABAvMkIJA6T7WtrAQIECBAgAABAgQIECBAgAABAgQINBIQSG3EZiYCBAgQIECAAAECBAgQIECAAAECBOZJQCB1nmpbWQkQIECAAAECBAgQIECAAAECBAgQaCQgkNqIzUwECBAgQIAAAQIECBAgQIAAAQIECMyTgEDqPNW2shIgQIAAAQIECBAgQIAAAQIECBAg0EhAILURm5kIECBAgAABAgQIECBAgAABAgQIEJgnAYHUeaptZSVAgAABAgQIECBAgAABAgQIECBAoJGAQGojNjMRIECAAAECBAgQIECAAAECBAgQIDBPAgKp81TbykqAAAECBAgQIECAAAECBAgQIECAQCMBgdRGbGYiQIAAAQIECBAgQIAAAQIECBAgQGCeBARS56m2lZUAAQIECBAgQIAAAQIECBAgQIAAgUYCAqmN2MxEgAABAgQIECBAgAABAgQIECBAgMA8CQikzlNtKysBAgQIECBAgAABAgQIECBAgAABAo0EBFIbsZmJAAECBAgQIECAAAECBAgQIECAAIF5EhBInafaVlYCBAgQIECAAAECBAgQIECAAAECBBoJCKQ2YjMTAQIECBAgQIAAAQIECBAgQIAAAQLzJCCQOk+1rawECBAgQIAAAQIECBAgQIAAAQIECDQSEEhtxGYmAgQIECBAgAABAgQIECBAgAABAgTmSUAgdZ5qW1kJECBAgAABAgQIECBAgAABAgQIEGgkIJDaiM1MBAgQIECAAAECBAgQIECAAAECBAjMk4BA6jzVtrISIECAAAECBAgQIECAAAECBAgQINBIQCC1EZuZCBAgQIAAAQIECBAgQIAAAQIECBCYJwGB1HmqbWUlQIAAAQIECBAgQIAAAQIECBAgQKCRgEBqIzYzESBAgAABAgQIECBAgAABAgQIECAwTwICqfNU28pKgAABAgQIECBAgAABAgQIECBAgEAjAYHURmxmIkCAAAECBAgQIECAAAECBAgQIEBgngQEUueptpWVAAECBAgQIECAAAECBAgQIECAAIFGAgKpjdjMRIAAAQIECBAgQIAAAQIECBAgQIDAPAkIpM5TbSsrAQIECBAgQIAAAQIECBAgQIAAAQKNBARSG7GZiQABAgQIECBAgAABAgQIECBAgACBeRIQSJ2n2lZWAgQIECBAgAABAgQIECBAgAABAgQaCQikNmIzEwECBAgQIECAAAECBAgQIECAAAEC8yQgkDpPta2sBAgQIECAAAECBAgQIECAAAECBAg0EhBIbcRmJgIECBAgQIAAAQIECBAgQIAAAQIE5klAIHWealtZCRAgQIAAAQIECBAgQIAAAQIECBBoJCCQ2ojNTAQIECBAgAABAgQIECBAgAABAgQIzJOAQOo81bayEiBAgAABAgQIECBAgAABAgQIECDQSEAgtRGbmQgQIECAAAECBAgQIECAAAECBAgQmCcBgdR5qm1lJUCAAAECBAgQIECAAAECBAgQIECgkYBAaiM2MxEgQIAAAQIECBAgQIAAAQIECBAgME8CAqnzVNvKSoAAAQIECBAgQIAAAQIECBAgQIBAIwGB1EZsZiJAgAABAgQIECBAgAABAgQIECBAYJ4EBFLnqbaVlQABAgQIECBAgAABAgQIECBAgACBRgICqY3YzESAAAECBAgQIECAAAECBAgQIECAwDwJCKTOU20rKwECBAgQIECAAAECBAgQIECAAAECjQQEUhuxmYkAAQIECBAgQIAAAQIECBAgQIAAgXkSEEidp9pWVgIECBAgQIAAAQIECBAgQIAAAQIEGgkIpDZiMxMBAgQIECBAgAABAgQIECBAgAABAvMkIJA6T7WtrAQIECBAgAABAgQIECBAgAABAgQINBIQSG3EZiYCBAgQIECAAAECBAgQIECAAAECBOZJQCB1nmpbWQkQIECAAAECBAgQIECAAAECBAgQaCQgkNqIzUwECBAgQIAAAQIECBAgQIAAAQIECMyTgEDqPNW2shIgQIAAAQIECBAgQIAAAQIECBAg0EhAILURm5kIECBAgAABAgQIECBAgAABAgQIEJgnAYHUeaptZSVAgAABAgQIECBAgAABAgQIECBAoJGAQGojNjMRIECAAAECBAgQIECAAAECBAgQIDBPAgKp81TbykqAAAECBAgQIECAAAECBAgQIECAQCMBgdRGbGYiQIAAAQIECBAgQIAAAQIECBAgQGCeBARS56m2lZUAAQIECBAgQIAAAQIECBAgQIAAgUYCAqmN2MxEgAABAgQIECBAgAABAgQIECBAgMA8CQikzlNtKysBAgQIECBAgAABAgQIECBAgAABAo0EBFIbsZmJAAECBAgQIECAAAECBAgQIECAAIF5EhBInafaVlYCBAgQIECAAAECBAgQIECAAAECBBoJCKQ2YjMTAQIECBAgQIAAAQIECBAgQIAAAQLzJCCQOk+1rawECBAgQIAAAQIECBAgQIAAAQIECDQSEEhtxGYmAgQIECBAgAABAgQIECBAgAABAgTmSUAgdZ5qW1kJECBAgAABAgQIECBAgAABAgQIEGgkIJDaiM1MBAgQIECAAAECBAgQIECAAAECBAjMk4BA6jzVtrISIECAAAECBAgQIECAAAECBAgQINBIQCC1EZuZCBAgQIAAAQIECBAgQIAAAQIECBCYJwGB1HmqbWUlQIAAAQIECBAgQIAAAQIECBAgQKCRgEBqIzYzESBAgAABAgQIECBAgAABAgQIECAwTwICqfNU28pKgAABAgQIECBAgAABAgQIECBAgEAjAYHURmxmIkCAAAECBAgQIECAAAECBAgQIEBgngQEUueptpWVAAECBAgQIECAAAECBAgQIECAAIFGAgKpjdjMRIAAAQIECBAgQIAAAQIECBAgQIDAPAkIpM5TbSsrAQIECBAgQIAAAQIECBAgQIAAAQKNBARSG7GZiQABAgQIECBAgAABAgQIECBAgACBeRIQSJ2n2lZWAgQIECBAgAABAgQIECBAgAABAgQaCQikNmIzEwECBAgQIECAAAECBAgQIECAAAEC8yQgkDpPta2sBAgQIECAAAECBAgQIECAAAECBAg0EhBIbcRmJgIECBAgQIAAAQIECBAgQIAAAQIE5klAIHWealtZCRAgQIAAAQIECBAgQIAAAQIECBBoJCCQ2ojNTAQIECBAgAABAgQIECBAgAABAgQIzJOAQOo81bayEiBAgAABAgQIECBAgAABAgQIECDQSOD/A/OiE8kWBrk6AAAAAElFTkSuQmCC)
# Defining the generative model
pick.bills <- function(N.bills) {
bills <- rep(0:1, c(N.bills - x, x)) # 0 for un-marked, 1 for marked in the inital capture
prob.pick <- ifelse(bills == 0, 1.0, u)
sum(sample(bills, y, prob = prob.pick)) # sampling y bills in the second capture
}
# Simulating the data
N.marked <- rep(NA, N.draw)
for(i in 1:N.draw) {
N.marked[i] <- pick.bills(N.bills[i])
}
# Filtering out parameter values N.marked that were not equal to w
post.bills <- N.bills[N.marked == w]
# Plotting the posterior distribution
length(post.bills)
[1] 5296
barplot(table(cut(post.bills, seq(x,upper.limit,bin.width))) / length(post.bills), col = "blue")
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)
# Statistics
min(post.bills)
[1] 948
mean(post.bills)
[1] 1058
median(post.bills)
[1] 1057
max(post.bills)
[1] 1217
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