Benchmarking CSIDE on a simulated spatial transcriptomics
dataset
library(spacexr)
library(Matrix)
library(devtools)
library(ggplot2)
library(ggpubr)
library(reshape2)
library(dplyr)
source('~/Documents/MIT/Research/Rafalab/Projects/spacexr/AnalysisCSIDE/helper_functions/de_simulation_helper.R')
devtools::load_all()
load_all()
set_global_Q_all()
ref <- readRDS("../../../spacexr/data/Reference/10xCer/reference.rds")
resultsdir <- '../../../spacexr/data/Reference/10xCer/de_simulation'
common_cell_types <- c('Bergmann', 'Purkinje')
n_cell_types = length(common_cell_types)
trials = 77
n_conditions = 13
boundary = ceiling(n_conditions / 2)
N_samples = (n_cell_types * trials * n_conditions * (n_cell_types - 1))/2
first_UMI = numeric(N_samples); first_type = character(N_samples); second_type = character(N_samples)
UMI_tot = 1000; UMI_step = UMI_tot / (n_conditions-1)
UMI_tot = round(UMI_step * (n_conditions-1)); UMI1_vec = round(0:(n_conditions-1)*UMI_step)
nUMI = ref@nUMI
UMI1_vec = round(0:(n_conditions-1)*UMI_step)
UMI1 <- rep(UMI1_vec,each = trials)
UMI_vect <- rep(UMI_tot, N_samples)
cell_type_names <- levels(ref@cell_types)
Run RCTD on simulated data (the first step of CSIDE)
puck.original <- SpatialRNA(NULL, ref@counts, nUMI = ref@nUMI, T)
print('create.RCTD: getting regression differentially expressed genes: ')
cell_type_info <- list(info = process_cell_type_info(ref, cell_type_names, CELL_MIN = 25), renorm = NULL)
gene_list= get_de_genes(cell_type_info$info, puck.original)
puck <- generate_sim_puck(common_cell_types, gene_list, ref)
reference <- restrict_reference_cell_types(ref, common_cell_types) # only relevant cell types
myRCTD <- create.RCTD(puck, reference, max_cores = 1)
myRCTD <- run.RCTD(myRCTD)
saveRDS(myRCTD, file.path(resultsdir, 'myRCTD.rds'))
Load in RCTD results
myRCTD <- readRDS(file.path(resultsdir, 'myRCTD.rds'))
puck <- myRCTD@originalSpatialRNA
sigma_init <- as.character(100*myRCTD@internal_vars$sigma)
results <- myRCTD@results
norm_weights = sweep(results$weights, 1, rowSums(results$weights), '/')
beta <- as.matrix(norm_weights)
cell_type_info <- myRCTD@cell_type_info$info
Run CSIDE on contamination simulation
de_gt_vals <- exp((-3:3)/5)
gt_val <- 1
COND <- length(de_gt_vals) # number of conditions for DE
REPLICATES <- 100
alpha_res <- array(0, dim = c(REPLICATES, 2, COND))
dec_res <- array(0, dim = c(REPLICATES, 2, COND))
sing_res <- array(0, dim = c(REPLICATES, 2, COND))
bulk_res <- matrix(0, nrow = REPLICATES, ncol = COND)
thresh <- 5 #flip 50% of them
region_base <- c(rep(0, floor(N_samples/2)), rep(1, ceiling(N_samples/2)))
region <- region_base
N_int <- 10
region[((1:N_samples) %% N_int) < thresh] <- 1 - region[((1:N_samples) %% 10) < thresh]
de_gene <- 'Nrxn3'
for(condi in 1:COND) {
de_ground_truth <- c(gt_val, de_gt_vals[condi])
de_res <- sim_CSIDE(de_ground_truth, REPLICATES, de_gene, ref, N_samples, nUMI, common_cell_types,
UMI1, UMI_tot, sigma_init, puck, myRCTD@cell_type_info, beta,UMI_vect,
other_methods = T, region_orig = region)
alpha_res[,, condi] <- de_res$e_res
bulk_res[,condi] <- de_res$bulk_de
dec_res[, ,condi] <- de_res$dec_de
sing_res[,,condi] <- de_res$sing_de
}
saveRDS(alpha_res,file.path(resultsdir, 'other_methods_contamination/alpha_res.rds'))
saveRDS(dec_res,file.path(resultsdir, 'other_methods_contamination/dec_res.rds'))
saveRDS(bulk_res,file.path(resultsdir, 'other_methods_contamination/bulk_res.rds'))
saveRDS(sing_res,file.path(resultsdir, 'other_methods_contamination/sing_res.rds'))
Plot contamination simulation results
alpha_res <- readRDS(file.path(resultsdir, 'other_methods_contamination/alpha_res.rds'))
dec_res <- readRDS(file.path(resultsdir, 'other_methods_contamination/dec_res.rds'))
bulk_res <- readRDS(file.path(resultsdir, 'other_methods_contamination/bulk_res.rds'))
sing_res <- readRDS(file.path(resultsdir, 'other_methods_contamination/sing_res.rds'))
REPLICATES <- 100
de_gt_vals <- exp((-3:3)/5)
gt_val <- 1
plot_df <- as.data.frame(cbind( log(gt_val), log(de_gt_vals), apply(alpha_res,3:2,mean), apply(dec_res,3:2,mean), apply(bulk_res,2,mean), apply(sing_res,3:2,mean), apply(alpha_res,3:2,sd), apply(dec_res,3:2,sd), apply(bulk_res,2,sd), apply(sing_res,3:2,sd)))
colnames(plot_df) <- c('log_fc_b', 'log_fc_p', 'CSIDE_b', 'CSIDE_p', 'dec_b', 'dec_p', 'bulk','sing_b','sing_p', 'sd_CSIDE_b','sd_CSIDE_p','sd_dec_b','sd_dec_p','sd_bulk', 'sd_sing_b','sd_sing_p')
graph_df <- plot_df %>%
select(log_fc_p, CSIDE_b, sd_CSIDE_b) %>%
rename(estimate=CSIDE_b, sd=sd_CSIDE_b) %>%
mutate(type = 'CSIDE_b') %>%
bind_rows(plot_df %>%
select(log_fc_p, CSIDE_p, sd_CSIDE_p) %>%
rename(estimate=CSIDE_p, sd=sd_CSIDE_p) %>%
mutate(type = 'CSIDE_p')) %>%
bind_rows(plot_df %>%
select(log_fc_p, dec_b, sd_dec_b) %>%
rename(estimate=dec_b, sd=sd_dec_b) %>%
mutate(type = 'dec_b')) %>%
bind_rows(plot_df %>%
select(log_fc_p, dec_p, sd_dec_p) %>%
rename(estimate=dec_p, sd=sd_dec_p) %>%
mutate(type = 'dec_p')) %>%
bind_rows(plot_df %>%
select(log_fc_p, bulk, sd_bulk) %>%
rename(estimate=bulk, sd=sd_bulk) %>%
mutate(type = 'bulk')) %>%
bind_rows(plot_df %>%
select(log_fc_p, sing_p, sd_sing_p) %>%
rename(estimate=sing_p, sd=sd_sing_p) %>%
mutate(type = 'sing_p')) %>%
bind_rows(plot_df %>%
select(log_fc_p, sing_b, sd_sing_b) %>%
rename(estimate=sing_b, sd=sd_sing_b) %>%
mutate(type = 'sing_b'))
graph_df[,1:3] <- graph_df[,1:3]*log(exp(1),2) #scale to log 2
p1 <- ggplot(graph_df[graph_df$type %in% c('CSIDE_p', 'dec_p', 'bulk', 'sing_p'),], aes(x=log_fc_p,y=estimate,group=type, color = type)) + geom_line() + theme_classic() + geom_abline(slope=1,intercept=0) + geom_errorbar(aes(ymin = estimate - sd*1.96/sqrt(REPLICATES),ymax=estimate+sd*1.96/sqrt(REPLICATES)), width = 0.03) + ylab('Estimated cell type A DE')+ xlab('Differential expression in cell type A') + ggplot2::scale_color_manual("Method",values = c('#0072B2','#009E73','#D55E00', '#EFCB00'), breaks = c('bulk', 'dec_p' ,'CSIDE_p', 'sing_p'), labels = c('Bulk','Decompose','CSIDE','Single')) + scale_x_continuous(breaks = unique(graph_df$log_fc_p), labels = round(unique(graph_df$log_fc_p),2))
p2 <- ggplot(graph_df[graph_df$type %in% c('CSIDE_b', 'dec_b', 'bulk', 'sing_b'),], aes(x=log_fc_p,y=estimate,group=type, color = type)) + geom_line() + theme_classic() + geom_abline(slope=0,intercept=0) + geom_errorbar(aes(ymin = estimate - sd*1.96/sqrt(REPLICATES),ymax=estimate+sd*1.96/sqrt(REPLICATES)), width = 0.03)+ ylab('Estimated cell type B DE')+ xlab('Differential expression in the other cell type')+ ggplot2::scale_color_manual("Method",values = c('#0072B2','#009E73','#D55E00','#EFCB00'), breaks = c('bulk', 'dec_b' ,'CSIDE_b', 'sing_b'), labels = c('Bulk','Decompose','CSIDE', 'Single')) + scale_x_continuous(breaks = unique(graph_df$log_fc_p), labels = round(unique(graph_df$log_fc_p),2))
ggarrange(p1,p2, nrow = 2)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAMACAYAAAD8D7Q+AAAEDmlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPpu5syskzoPUpqaSDv41lLRsUtGE2uj+ZbNt3CyTbLRBkMns3Z1pJjPj/KRpKT4UQRDBqOCT4P9bwSchaqvtiy2itFCiBIMo+ND6R6HSFwnruTOzu5O4a73L3PnmnO9+595z7t4LkLgsW5beJQIsGq4t5dPis8fmxMQ6dMF90A190C0rjpUqlSYBG+PCv9rt7yDG3tf2t/f/Z+uuUEcBiN2F2Kw4yiLiZQD+FcWyXYAEQfvICddi+AnEO2ycIOISw7UAVxieD/Cyz5mRMohfRSwoqoz+xNuIB+cj9loEB3Pw2448NaitKSLLRck2q5pOI9O9g/t/tkXda8Tbg0+PszB9FN8DuPaXKnKW4YcQn1Xk3HSIry5ps8UQ/2W5aQnxIwBdu7yFcgrxPsRjVXu8HOh0qao30cArp9SZZxDfg3h1wTzKxu5E/LUxX5wKdX5SnAzmDx4A4OIqLbB69yMesE1pKojLjVdoNsfyiPi45hZmAn3uLWdpOtfQOaVmikEs7ovj8hFWpz7EV6mel0L9Xy23FMYlPYZenAx0yDB1/PX6dledmQjikjkXCxqMJS9WtfFCyH9XtSekEF+2dH+P4tzITduTygGfv58a5VCTH5PtXD7EFZiNyUDBhHnsFTBgE0SQIA9pfFtgo6cKGuhooeilaKH41eDs38Ip+f4At1Rq/sjr6NEwQqb/I/DQqsLvaFUjvAx+eWirddAJZnAj1DFJL0mSg/gcIpPkMBkhoyCSJ8lTZIxk0TpKDjXHliJzZPO50dR5ASNSnzeLvIvod0HG/mdkmOC0z8VKnzcQ2M/Yz2vKldduXjp9bleLu0ZWn7vWc+l0JGcaai10yNrUnXLP/8Jf59ewX+c3Wgz+B34Df+vbVrc16zTMVgp9um9bxEfzPU5kPqUtVWxhs6OiWTVW+gIfywB9uXi7CGcGW/zk98k/kmvJ95IfJn/j3uQ+4c5zn3Kfcd+AyF3gLnJfcl9xH3OfR2rUee80a+6vo7EK5mmXUdyfQlrYLTwoZIU9wsPCZEtP6BWGhAlhL3p2N6sTjRdduwbHsG9kq32sgBepc+xurLPW4T9URpYGJ3ym4+8zA05u44QjST8ZIoVtu3qE7fWmdn5LPdqvgcZz8Ww8BWJ8X3w0PhQ/wnCDGd+LvlHs8dRy6bLLDuKMaZ20tZrqisPJ5ONiCq8yKhYM5cCgKOu66Lsc0aYOtZdo5QCwezI4wm9J/v0X23mlZXOfBjj8Jzv3WrY5D+CsA9D7aMs2gGfjve8ArD6mePZSeCfEYt8CONWDw8FXTxrPqx/r9Vt4biXeANh8vV7/+/16ffMD1N8AuKD/A/8leAvFY9bLAAAAOGVYSWZNTQAqAAAACAABh2kABAAAAAEAAAAaAAAAAAACoAIABAAAAAEAAAHgoAMABAAAAAEAAAMAAAAAAMCDBZ4AAEAASURBVHgB7J0FfFRH18afuCcEd3d3d4fg7g5FirZIixctLn1xhwa3BHd3l0DwlARICDHitt+cybdLltjGZc/0l+6Vmbkz/xvy7MycOUdHIRI4MQEmwASYABNgAilKQDdFn8YPYwJMgAkwASbABCQBFmD+RWACTIAJMAEmkAoEWIBTATo/kgkwASbABJgACzD/DjABJsAEmAATSAUCLMCpAJ0fyQSYABNgAkyABZh/B5gAE2ACTIAJpAKBDCPAL1++RPv27fH+/ftUwMiPZAJMgAnETWDPnj3w8PCIOyPn0AoCGUaAv337Bjs7O3h7e2vFi+NOMgEmkL4IkPj26tULBgYG6avh3NpkI5BhBDjZCHHFTIAJMIFEErhw4QL69euHLl26wMLCIpG1cfGMQoAFOKO8Se4HE2ACaZLA48eP0aFDB9SuXRu7du1Kk23kRqUOARbg1OHOT2UCTEALCDg5OaFly5YoWLAgjh49CkNDQy3oNXdRUwIswJqS4nxMgAkwgXgQIGOrFi1ayDXfU6dOwcrKKh6lOas2ENDXhk5yH5kAE2ACKUkgICAANjY2cHNzw/Xr15E7d+6UfDw/K50QYAFOJy+Km8kEmED6IBAWFobu3bvj0aNHOHfuHEqVKpU+Gs6tTHECLMApjpwfyASYQEYmMHz4cBw/fhwHDx5EnTp1MnJXuW+JJMACnEiAXJwJMAEmoCQwa9YsbNq0CWvXrpWWz8rr/MkEoiPARljRUeFrTIAJMIF4Eli2bBlmz56NRYsWgUbBnJhAXARYgOMixPeZABNgAnEQsLe3x6RJkzBw4EBMnDgxjtx8mwlEEGAB5t8EJsAEmEAiCNy6dUsaXdGWo40bNyaiJi6qbQRYgLXtjXN/mQATSDICjo6OcrtRuXLlsH//fujp6SVZ3VxRxifARlgZ/x1zD5kAE0gkAYVCAb/XD9Rq8QwBWth0RpYsWaTVs6mpqdp9PmECcRFgAY6LEN9nAkxA6wkoQoLgMK6WGocLvtYIDNTBxYsXkTVrVrV7fMIENCHAU9CaUOI8TIAJaDUBHQMjlF52DTnajwZ09bAmuAI2Ovjh5MmTKFSokFaz4c4nnAALcMLZcUkmwAS0hICOjg7MS1aHYfb8CA8Ph+2Vx1i/5wgqVaqkJQS4m8lBgAU4OahynUyACWRIAvu3rJUCvHXrVjRt2jRD9pE7lXIEWIBTjjU/iQkwgXRM4PdebXHz2Wvo6uqid+/e6bgn3PS0QoAFOK28CW4HE2ACaZbAhhljsXT3MdQtkVcKcJptKDcsXRFgAU5Xr4sbywSYQEoTOLpuEUbPW4XdjcxQN68ZILYkvfijOVzt1qR0U/h5GYwAb0PKYC+Uu8MEmEDSEbhxeCd6jZ6MSnkzoWL9hsLRhj5MC5SRD9AxNEq6B3FNWkmABVgrXzt3mgkwgbgIvLh2Gu169UceK1OcvPMc1jlyx1WE7zOBeBHgKeh44eLMTIAJaAOBTw4P0LJ1Gxjo6+Ps9dssvtrw0lOhjzwCTgXo/EgmwATSLgFvl/do0aAOPIPCce3SBRQoUTbtNpZblq4JsACn69fHjWcCTCApCQR5f0O7OhXxyiMQpw7tQflaDZKyeq6LCagRYAFWw8EnTIAJaCuB8KAA9K5XFledfLB77TI0at9dW1Fwv1OIAAtwCoHmxzABJpB2CYSHhmB0s4o4+PQLlk//Dd2Hj0+7jeWWZRgCbISVYV4ld4QJMIGEEKBQg1Pb18Saq68w69eBGPfXkoRUw2WYQLwJsADHGxkXYAJMICMR2DSiLf4+8QC9WjbAzNVbMlLXuC9pnAALcBp/Qdw8JsAEko/A0RmDMXrjcTSuUgY7jp1PvgdxzUwgGgIswNFA4UtMgAlkfAJX/zcN/RZuQalCeWB35Y7wcqWX8TvNPUxTBFiA09Tr4MYwASaQEgSe7fsHXX+fh8yZrHD21iOYmpqmxGP5GUxAjQALsBoOPmECTCCjE3C6sB8dh4xBqL4xLtx+iKxZs2b0LnP/0igB3oaURl8MN4sJMIGkJ+D+4AI6d+uJz0G6uHztMgoVKpT0D+EamYCGBFiANQTF2ZgAE0jfBHzfCEvndq3w2DMcx+3tUaVa9fTdIW59uifAApzuXyF3gAkwgbgIBLq8xi829XHWJRg7Nm9A89Y2cRXh+0wg2QnwGnCyI+YHMAEmkJoEgt1dMM6mBmxf+WHh7BnoO2hoajaHn80EVAR4BKxCwQdMgAlkNAIhPt+wrHstrH/siT/G/4rJM2YnqIvkLSvE54ZaWT3DXNAzKax2jU+YQHwIsADHhxbnZQJMIN0QCAvwxfYB9TD94kd0btMC85auSnjbFUHwftJMrbxxruGwKLpM7RqfMIH4EGABjg8tzssEmEC6IBAeEgy7X5tjrP0L1KpWGbYH7aCjo5PwtusYwbrSbQS67UaAy2pxfAM6BlkSXh+XZAKCAK8B868BE2ACGYqAIiwMl//ohKH/3kShgoVw7OxFGBoaJqqPJN765uUQHuYj66FjPaPciaqTCzMBHgHz7wATYAIZisDDvwej/7rjMLbKirNXrsPS0jJJ+hf4ZQeCvmxNkrq4EiZABHgEzL8HTIAJZBgCjmt/R79FO/BdxxTnLl9Frly5kqRvfs6r8P31cOgaFxT16SDI/QhCfZ8kSd1cifYSYAHW3nfPPWcCGYqA895FGDxzGd766+HEmXMoWbJkkvTP778F8H8/RdYVHvhefIbD50UvBHzZliT1cyXaS4CnoLX33XPPmUCGIfD19BaM+n0KbrgrcOTIQdSqVStJ+ub7boowuloF03wTYZx7uFqdOrpmaud8wgTiS4AFOL7EOD8TYAJpioDHtUOY8usw2DkrsG7dOrRr1y7R7VMowuH7ZjQCxZqvWcG5QoAnJLpOroAJ/EyABfhnInzOBJhAuiHg/egCZv/SA1vehOHvhQvxyy+/JLrtivAQfH81GEFfD8K86EqY5GLPWYmGyhVES4AFOFosfJEJMIG0TsDX8S42DW+H1Q4hGDRwACZNnpzoJivCA8X6bm8Ee5yBRYktMM7eXVVnQGiw6pgO9HV0YaDHf0LVoPBJvAjwb0+8cHFmJsAE0gKBgP8csH9kC/x5zx+tW7XEho2bEt2s8NDv8HHoIlxO3oZl6d0wytJGVWdgaAjy/aM+uh5coQn+btRHlYcPmEB8CbAVdHyJcX4mwARSlUCQqxNO/toM4677oELFSth/8BD09PQS1abwEA94P7VByPf7sCpzWE18qWIDXT2sbDoQHYtXh65wykHHXUsmjaFXohrOhdM1ARbgdP36uPFMQLsIhHi54cq4phh13hXZ8+THydNnYGJikigI4cFf4PWkOcIC3yBTueMwtG4UpT49XV30LlsfocI4S0f8R8dVcxWJko8vMIH4EOAp6PjQ4rxMgAmkGoEwfx/cn9QKI09+gMLMGmfPX0CWLInzxxwW+B+8nraGIsxXiO9p6W4yug6GC+Gdenk37F/fE96LEuFTOrrK+ZrWEuARsNa+eu44E0g/BMKDA/FsejuMOvwEX0INcerMWRQsWDBRHQj1fwWvx00ARTAylT8bo/jS+u/AY//DxkfnkNnYXAZ1aH9gITY8PJuo53NhJsAjYP4dYAJMIE0TUISF4vW8Hvh9z3U88VLg1Ck7VKxYMVFtDvV9DK9nbaGrZwWrciegZ5wv2vo8A33Rx24VHnx5h8o5CiG3RWZVPlMDI9UxHzCBhBBgAU4INS7DBJhAihBQKBR4t3woZu44hnOfwmBra4smTcSoNREpxOcWvJ91FH6d8yFTWXvoGuaItraPPu7odngpXP29caDT76iTN2lcW0b7ML6olQRYgLXytXOnmUD6IPDfht+wcP0O7P0QjiVLlqBnz56Janiw53l4O3SHvllZae2sa2AdbX1P3JzQ88hy6Anr5xPdpqJkljzR5uOLTCAxBFiAE0OPyzIBJpBsBFxs52L7mlXY9CYc06dPx2+//ZaoZwW528HnZT8YWNYS4rsfOnrm0dZ30emZXPPNL8IZ7u0wAbnMoxfpaAvzRSYQDwJshBUPWJyVCTCBlCHgar8Wh1fMwpznCvTo0QOzZ89O1IMDXW1lBCND62awKnskRvHd43ANPcTIt3LOQjje9U8W30RR58JxEeARcFyE+D4TYAIpSuDbpT048/cYTH6sg/oNGmD79u3S8jihjQj4tA6+byfAKFs34V5yk6gr+j97y27bY/7NQ9LBxqpmg9jNZEKBczmNCUT/m6hxcc7IBJgAE0g6Al53T+HqnAEY/1gfRUsWx+HDh2FoaJjgB/h/XAy/DzNhnHOICKywQohv1Em/sPBwTLywAzueXcaYqq0xvU6XRAl+ghvLBbWOAAuw1r1y7jATSH0CYf7fRcCDz2oNCXZ3wb2ZXTHuoR7MMmcV241OwdLSUi1PfE58309DgPMymOQdD/NC86It6h8ShMHH1+C801MsatQXgyo0jjYfX2QCyUGABTg5qHKdTIAJxErA85Yd3i0ZqJYn1MAUEx4APjDCzTNnkCtXLrX7mp7Q1iXft+MQ+HkjTAvMhFn+6KMkfRWetXodXYEX7s7Y1uZXtC5SWdNHcD4mkCQEos7HJEm1XAkTYAJMIGYClhWboMTcEzDJXxpmJapBxzQTZj0Jw2vvUBw/fhwlSpSIuXAsdxSKUBnLl8TXvMjSGMX3recXtNo7F07eX3Gky2QW31iY8q3kI8Aj4ORjyzUzASYQAwHDzDlBP7pGpgj44IB5z8Jx/j9/HDlyBLVqJSzKkCI8SFg69xVT2ydgUXwjjHP0jvbp9z+/RU8x8rUwNMHJ7lNRxDpntPn4IhNIbgIswMlNmOtnAkwgWgK0DkxxfV97BOLomyBs2LABbdu2jTZvXBcVYX7CwUY3hHhfg2WpXTDK2iHaIiffPsSwk+ukYw3b9uOQzTTha8zRPoAvMoF4EGABjgcszsoEmEDSEFCEheHNgp5w9fHHW+9wLFq0CEOHDk1Q5eGhXsK1ZAeE+j0VDjYOinCCTaOtZ+uTi5h8cSeaFCiHTTYjYca+nKPlxBdTjgALcMqx5icxASbw/wSc1o7B0ZOnYW0AFClSGD0nTkwQm/BgNxlUITzQSfh1PgYDq+inr+deP4gVd4+hr4jju6Rxf+Fiks1fEgScCyUpAf4tTFKcXBkTYAJxEfh8YCnu7l+P+tmA8tY6KBLghDs2RvB5ejWuomr3w4Kc4fWkKcKDP8Oq/KloxTdERFIaeWqDFN/JNTtgedOBLL5qFPkkNQnwCDg16fOzmYCWEfC4fhhXVk3BXw56aFM2L3799VcYGIhhsEjGuQprTCM04A28n7YWsXzDI2L5mka1mv4eFID+x/7BdeeXWN1sMHqWqatx/ZyRCaQEARbglKDMz2ACTAC+L+/g1l99Mf6JASxy5MOkgzeQJUuWeJMJ9XsGr6dthD9nMyG+FMu3QJQ6Pvt6Sp/OH7zdsFsYWzUuWC5KHr7ABFKbAAtwar8Bfj4T0AICQa4fcH9qe4y7H45wY0ucEY42EiK+IT534P28g4jhmwtW5Y5BT3z+nBy/uaDbkWWg6Wf7rn+gfPaoAv1zGT5nAqlBgAU4NajzM5mAFhEI9fXCs6lt8Nt1L3wO0sO186dRoED8RTHY67IQ3y7QNy0pIhodha5B5igUbzg7oo/9SuQwtcLeLn+AQgpyYgJplQALcFp9M9wuJpABCISHhuDV3K6YfOo1nniEC//Ox1GhQoV49yzo23HhZKOPiOVbDZalD0JX3yJKHUde3cHI0xtRKUch7Go3BtbG0cf7jVJQwwuuXgFqOU2N9GFhErF+rXaDT5iAhgRYgDUExdmYABOIP4EPq0Zg9t6LOO8Sht27d6Nx48bxriTQbR++Ow6W+3stS9mKtV+TKHWsfXAa06/sQZuiVbCu5S8w1k9aYQwMDkORMQfUnvtL0xJY2q+62jU+YQLxIcACHB9anJcJMAGNCbjYzsP8tVux70M4li5dih49emhcVpkx4PNm+L4ZIzxbdRSxfLdCR1ddWMOFFfS0y3uw4dFZDK3YFPMa9IRuNCEHlfUl9NNQXxc7f62PU4+csfv6O2wfVR9FckQdhSe0fi6nnQRSTYDd3d1x//59FCxYMEbH676+vnj27Jnam6lZs6baOZ8wASaQ9gi4X9yNTX/PxOY34Zg+fTomTJgQ70b6Oy+H3/upwqdzf5gX+1+UWL6BYnp7hNjja//mHmbV64Zfq7SK9zM0LaCrq4NKhTJj6p77oogOOlaP/xq2ps/ifNpDIFUE+OHDh5gxYwaaN2+ONWvWYMCAAejYsWMU6nfv3sU///yDokWLqu6xAKtQ8AETSJMEvj+/jj1/DsJcEWChe/fumD17drzb6fdhNvw//g2TPKNhXvjvKOW9Av3Q224lHrq+x8ZWw9GxRI0oeZLyAo16x2y5JUbgYuuxCHd4+pEL8mczQ6k8mZLyMVyXlhFIFQFesWIF5s6dK40xunXrhiFDhsDGxgaGhoZq+F+/fo127dqhf//+atf5hAkwgbRJINDlNezGt8Pk+8GoV78+duzYIUauOho3Vsbyffc7Aj+thWn+qTArMDVK2Y8+7nKbkaufF/Z3/A118paMkiepLvgGhmDCjjuwvfZOrcrOyy6A14DVkPBJAgikuACHhobC2dkZ5cuXl83NkSMHTE1N4eLigkKFCql1gQSYRry2trYoVqwYqlatqvaPmaaob926Jcu8fPlS5VFHrRI+YQJMIEUIhPh8w4XxLTHmqjeKliiFo3b2Ub5Ux9YQhSJMxPIdgSC3XTATo15TMfr9OT11+0842Fgm3Enq4US3qTKq0c95kur8wbtvGLDmKj55+mO5MLZqViG3WtUWxuoDBrWbfMIENCCQ4gLs5uYGMzMzNSG1srKCh4dHtAJMfSARpm/Se/fuxZIlS1Td+vTpE0aNGqU6t7BgowgVDD5gAilIIDwkCHemtMPwk04wy5IDp86cRWz/HkO+30Og678/WijENyzwA0K8zov13rUwyRl11uui0zMMPPY/ubd3b4cJyGVu/aN8Eh7RKHzlCQfMOvAQJXNb4dpfNiiZxyoJn8BVMYEIAikuwHp6eggTocgiJxoVGxsbR74kj7ds2YJMmTJBV0QuoTih7du3l6PnvHnzyvuFCxfG5cuX5TGtF9N9TkyACaQsARKs5wsHYNjuW/DVM8fN8xeQK1dUD1WRWxUe7CrE9qIIpPBJXNYT66ohQHgQLEvuhFG2TpGzyuM9Dtcw7tw21M5THNvbjIaFUdStSFEKJeDCFy9/DF1/HReff5FTzPN7VoGRgV4CauIiTCBuAikuwOR+zs/PD0FBQTAyMpItpNFv7tzq0zvBwcFwcnJC5swR3m5ofZimq798+QKlAOvr6yNnzpyyDspHfwg4MQEmkLIEPmydhuGr9+Kdvz4uXj4d466GyK0yymID+vF81ABhAWJ9VSHEt8wBGGVuETmbPF522x7zbx5ClxI1sbr5YBjoJc+fLdpiNHzjDfnMAxMaoWXFiC/6URrEF5hAEhFI8XCEJJo1atSAnZ2d7MKVK1dgbW0tf+jChw8fEBgYKNdzly1bplrjffHiBb59+4aKFSsmUde5GibABBJL4OuZbRgzYwFuuQP7DhyUy0Wa1hke4o5QPwcowryFa0m7KOIbFh6OCWLUS+I7tmprrG05LFnENygkDBN33kWXZRdRLr81bs1rw+Kr6UvkfIkikDxfJeNo0siRIzFp0iQcPnxYTi/TliRlGjFiBBYuXCgtpMeNG4cNGzbIn69fv2LKlCkgAefEBJhA6hPwfnQBk0cNxTEXBTZu3CiXiTRtVViQiwgnaCOnnQ0yNYChlXqoQH+xpjzkxFqcff8Efzfqg8EVmmhadbzyvXTxFoZWV/Dykzf+6lYJ423KqNmnxKsyzswE4klAR0zbptq8rZeXl1zjjavN3t7esLS0jPUfxvXr11G3bl3QHmMeJcdFlO8zgcQRCPjPAX+2qYYVT/2xcMF8TJ7yh8YV0pSz5+NmQnx9xfKvuQiqkA3G2XvJtV89o7xw9/dBz6Mr8MLdGRtaD0frIpU1rjs+GbdcfIVJu+4ht7Upto2sh8qF4x8aMT7P47xM4GcCqTqcJAMrTRJZSXNiAkwgbRAI8XTFugFNsFKI7+D+/eIlvqF+z8XIt61Y8w2FIjxQiHAAwkK+wu/DdOhbVIFTgAG6HV4Kn6AAHOkyGVVzFUnyTnv6BWHU5puwu/cRPeoUwor+NWBurO7iMskfyhUygWgIxCrAAwcOlB6qyBkGpXfv3knXkMpzujZ27FhpGEVbhDgxASaQsQmEC2Hc80sTTLn8Ba2aNcb6zVs07jBtPfJ+1l7E8s2BTGVFLF8jdcPL+5/fipHvXFgYmuBk96koYh1hYKnxAzTIeO2lKwatvYbvASHYPLwuutdW9z2gQRWchQkkGYFYBZi29pDBlDKRwdT8+fOldyrlNZrBTsVZbGUz+JMJMIFkJqAQRlGnJ3bAqCPPUbFcWRw4KkRUbCvUJAV7XYGPQxfomRSTBldH3r3B2LOzQcEUyLey+CsiqymdJS92dxiPbKaWmlSrcR4y6Jp/+AkW2T1F1cJZsXVkXRTMxn4DNAbIGZOFQKwCnCxP5EqZABNIlwTuLhmJARvPIEfO3Dh54TJMTDTbixv07YSI5dsbBhZVxVYjiuVriTJZAzGxZntsfXwBoUKEv/h6SpeS/7YfBzODiO2JSQXJ6auvHPXeefsVE2zKYnrnCtDXS/ENIEnVHa4nAxFgAc5AL5O7wgSSi8DrfSvQc856wNgC567eUO3Pj+t5gW77hXtJEcs3U2NYltqtiuVbIkseFM+cGxsfncNnIb59ytTH0ib9hYvJpBXGA7c+YMzWWzAz1sfxKc1Qv1TST2vHxYDvM4GYCLAAx0SGrzMBJiAJuF63Q/cRE+AWYoBr166iQIECGpGJLZZvcFgoRp/ZLMW3lBDjFc0GalSnppn8gkLw24672HX1LdpUzof/Da6FLBZJO7LWtC2cjwnERIAFOCYyfJ0JMAH4vX2EXt264JkXcPLUcbk/XxMs/s4rRCzfP6ON5esd6I+uR5bgkesHZDWxgJGeAXY8vYwWhSsih1nidzw8+hARRMH5mz+WiSAKw5qW0KTJnIcJpDiBOAX44MGDePPmjWzYs2fPQA4xfv/9d1VDr127phavV3WDD5gAE0jXBILdXTDEpj4ufArBv9s2o0kzsXdXg+T34S8Ry3ehjOVrVmih2v59ZSjBj97uwgBLAfeA7/Ln0fltOGo9OVECTMagq06+wKz9D1EspyWuzG6N0nk12+qoQbc4CxNIcgKxCjAFOyDxpVCBykRO1k+cOKE8lZ958uRRO+cTJsAE0jeBsABfjG1VDXscv2PR7Ono1X9QnB0iAfRVxfL9U8TynaZWhka8vY4uh76uPk73mIZiYg04cjIQIQYTmly9A2QQhQvPPmNok+JY0LMqjA0TXl9C28HlmEB8CMQqwEp/zfGpkPMyASaQvgkoRLSypb3qY929z5g8cggmzvgrzg5FxPIdLmL5/httLN/T7x5hqHAtWdg6B3a3H5+koQTPPHbBLxtuIExYU+8d1xA2Ys2XExNIDwRiFeD00AFuIxNgAklLYOe4zvjz6EN0blYfC/7ZEGflivBg+Lzsj+Bv9rAotg7GOfupldkithpNubQLDfOXwRabUTA3jBp6VK2AhicURGHGvgf43+mXaCCsmzcNr4Ncwq0kJyaQXghoJMDPnz/Hvn374ODggE+fPslwgOXLl8fQoUORPXv29NJXbicTYAJxEDi95DcMX3sUtcoVx+7j59TWb6Mrqgjzh7dDN4R4XxWxfHeoxfKlKek51w9g1b0T6Fu2PhY37iemn5NmWthRBE8YsOYqHJy9MKtrRbm/V1dXJ7om8jUmkGYJxLnpbunSpahSpQoWLFiA9+/fS/H977//sGjRIrkdgYSZExNgAumfwMP969Fz6jIUypUVJ67dkyFBY+tVeKg3vEREoxCfG7AqvV9NfINCQzD05DopvlNrd8LypgOTTHy3XXqNujOOS3eS56e3xO9ty4moaiy+sb0rvpc2CcQ6Ar506ZK0eJ46dSqmTZsGY+MfU0cUoYhCCvbu3Vu6q9R0b2DaxMCtYgLaTeD9rbNoN3AETIV3q3O3H8PCInY3jeHBX+H1rC3CA98L15L2IpxgHRVAz0Bf9LFbhQdf3mGdiOHbpWQt1b3EHHj5BePXLTdx5O5/6F5LBFEYUAMWJhxEITFMuWzqEog1HGH37t3h5+eHY8eORdvKMGGsUapUKVDQhj/+0DwcWbSVJfIihyNMJEAurrUEPN69QL1qFeDir8DNO3dRqlzFWFmEBTnLWL7hIR6wKmcHA/NKqvwfvN3Q48hyfBUhBXe0HS3dS6puJuLghqMbBq27ChLh5SJ6Uc86hRNRGxdlAmmDQKwjYGdnZzRv3jzGlpIj9sqVK8up6Rgz8Q0mwATSLIFA729o37AG3nmH4uwJu7jFN+CtmHZuLcIJhiFThbPQNy2p6huNeHuJOL4mBoY42W0qimdR32akyhiPAwqisPDIU/x99CkqFcqME1Oao3CO2Efn8aieszKBVCUQqwDTNHNcRlbZsmWDq6trqnaCH84EmED8CSiEO8ie9crjxsfv2LtxFeo2bxNrJaF+z4T4thX+nE2RqfwZ6Bn/cEl54u0D/HJyvfDvnAu2YptRUni0+ujuJ0e9t15/xbjWZTCjc0UY6MdpthJrH/gmE0hLBGIVYGqojk7sxg1x3U9LneW2MAEm8IPAqJbVcOTpJ6yaNh5dhoz+cSOaoxCfO/B+3kHE8s0lpp1FGELxqUwUUOHPS7ZoVqg8NrYekSTRjA7dccJosd5rYqgP+8lN0bD0j+cpn8ufTCC9E4hTgI8ePYqPHz/G2M+bN2+iUKFCMd7nG0yACaQ9AjP62mDtuUeYOagzRs9ZFmsDg70uCfHtKqebrcoeha5BZpmfYvnOvLoPax+cxsDyjbCwYZ9ERzPyDwrF7zvvYseVN2hVMS/WDq2FrBY/jD9jbSjfZALpjECsApw3b144OjrKn9j6VaNGjdhu8z0mwATSEIEdc3/H3F0n0Kt+BczafCDWlgV9OyZi+faBgWUNWJY+IGL5Rqy/BoptRsNPrcexN/cxo25XjKkq1oXjkZy/+eHB+29qJTKZGmLsttv475svlvSthuHNfqwvq2XkEyaQQQjEKsCnTp3KIN3kbjABJkAEzuxch6Ezl6JRydzYfv5erFAC3fbiu+MQGFo3E+JrCx3diJHoNxFAobfdSjxxc8ImMeXcoXj1WOuJ7ubVl67Sd3Pke3piL2/xXJa4PKs1yuazjnyLj5lAhiQQqwBnyB5zp5iAlhJ4ePkUugweidLCitju5lPo68f8zz/g80b4vhknnGt0hkXxzUJ8I/bbvvNyRffDy+AZ6IdDnSaiZp7iCaLZoVp+sa6bE52XXsBnL3989QlC3/pFsLhPNbnum6BKuRATSGcEYv4XmM46ws1lAkwgZgJOjs/QyqYtspjq49T1uzDLFLGOG10J/49L4fdhuvDpPBDmRVcLQ8wIy+O7n97Ika+FoQlOiWhGRa1zRldco2tkXHVaBFFwcPGCjvhv99gGaFslv0ZlORMTyCgEWIAzypvkfjCBGAh4fHVD07o1QY5zTp87hxyFYg5Q7/dhpojlu1jE8h0L88ILVDXav74n13xLZ80nthmNQzZTS9W9+B589QnEhB13cFhYOluJdd+6JbKz+MYXIufPEAR4U12GeI3cCSYQPYGgoCC0rFFOTPP64eiOjShes3G0GSlwwncx5Uzia1pgupr4kpXzoONr0KRgOdh1nZIo8aXtRdX+sMOpR84g980+AcE4KY6tBuzCNbEuzIkJaBOBRI2AQ0NDQduUnJycMGHCBG3ixn1lAmmeQLjwItWpXmU8/OCGfYsmo3bXwdG2WaEIxfdXw0Qs3z1CeJeI0e9ImY+2GdH+3k2Pz2NIhSaY37CXEM2EfWd38wnAhO13pB/nFhXyCMcapfHYyVOtPYWzs4crNSB8kuEJJEiAyUXlhg0bsGnTJnz+/FmGJczwpLiDTCANEwh2d0aY/3dVC3X09PHrqJE4cdcB/xvZGR1/X6i6F/lAER4kthn1RbDHCWFstQHGOfrI2/4hQdKz1al3jzCnfg+MqNwicrF4HR+8/UGKb6j4QrB+aG30rldElq8nYvhySloCS5Yskf77+/XrF61/hn/++Qffvn2TA6a4Am4oW+bj4wNLy4glh927d8tjGxsb5e1Ef164cEEO4iimgNYlMfWkURLfphViW5Kiffv2CuEDWmFubq4YPHiwQgRB0Kh8cme6du2aQrw8xcOHD5P7UVw/E0hzBBz/6qy43cpA9XPFxkz+e5japmqMbQ0P9VV4PmmtcLtqqQj8eliVz83PW9HUdrYi96ohCrtXd1XX43vg6u2v6LnyosKs7w5F56XnFZ88/OJbBeePJwHhOli+dxG9LkpJ4VBJITwXyvtiEBXlfnQXjh8/rqhVq5bqVps2bRQjRoxQnSfFgYi2p6hbt25SVJXu6ohzPsnd3V3G/i1atChatWoFT09PlC5dGpMnT5Yj4Nq1a2vdlxbuMBNIawTy9pmJon/skc36Urghxtzwx/CaBfDXoevRNjU81Ov/Y/neglWZgzDK2kHme+3xGS33zIWT91cc6TwZbYtVjbZ8XBf333qPqlPscMXBFRuG1caBCY2Ry9o0rmJ8PwkIFC9eHPv3749S0969e5E7d/wCZDx79kyOqKNUxheShECsAjxu3DiQNyyaau7Tpw/evHmDy5cvo3z58knycK6ECTCBpCFgWqgcLMpGxORdffAccmW2wKrT94XbSMMoDwgPdoXXkxZiyvolMpU9JhxtNJV5brm8Qqu988Q6r47cZlQtd9EoZeO64OodgJ4rL2HgmmuoUTQ77i1si151I6ac4yrL95OGQJcuXfD69Ws8efJErcI9e/aAQsz+nHbs2IFu3bqhXbt2WL58Oci2hxL9rT948CBoyXHo0KFy8EXXxTATmzdvlvlpqvvixYt0WZVu3LiB/v37o1mzZhg7dmwUV8bv3r0DxZinaexFixZJ63xVYS07iFWAz4ktC0WKFJGxfkeNGoXChQtrGR7uLhNIPwQe3rsjG1vYSh97z98S7iOzRGl8WOBHIb7NEB78GVblT8HAqpbMc9jxNjodWoyimXNK8S2cKUeUsnFd2HfzvbRwJmvmjcPqYP+ERsiZiUe9cXFL6vs5c+ZEgwYNsG/fPlXVb9++laLcunVr1TU6IIH87bffUKxYMdBsJgkiCTglioRHAzBTU1NUr14dhoYRX+Z27doFEnOaEfXy8pKfDg4Osoy9vT3q1asHiqTXuXNnUJz2cuXKgUSXkoeHB5o2bQpa9xXT2Th8+DBWrVol72nl/2KbNP/w4YNi5syZigIFCiiE1xwFzf+LqQ2FeEGKOXPmxFY0xe/xGnCKI+cHpiECrx0dFYUzRawBv94yI9qWhfi9UrjfKip/QvwcVXlW3T2hyLJ8gKK//WpFQEiw6rqmB188/RXdl0es9XZbfkFB55xShwCtAQtBU6xbt04hpqJVjZg7d65CjEoVyr+TtAYs/PwrdHV1Fba2tqp8YuQs14gvXbokr/39998KMeOpuk8aULJkSUVwcMTvib+/v8LExEQhZkllnoIFCyrEbKkqPx3QtZ49e8prtDYtBFlBNkXKJGIJ8BpwdN8+hPBi1qxZeP/+PU6ePAlheIW+ffviwIEDoNHx1atX5XREdGX5GhNgAilD4OvXr2hapxqMwkPkAzMXi7pEFOr7RIx8xVSzrhEyVTgvIhsVBwW7n3hhB2Zf24fhlZpji81IGOtHuJzUtOV7brxDVbGv97qjKzYNr4O94xohRyYTTYtzvmQiQKNPGnU+fvxYPoFGrEIE1Z527949+ff77t27mDJlivyh5Ub6O0/3YkpVqlSBgUHE74kQX2kT9OnTJzlFLQZt+HmUTSNdZX2PHj1Cw4YN1cLctmzZMqZHZfjrsU5BK3tPMX9p2oBM0Ak0mbKTaXr9+vXltPSWLVuUWfmTCTCBFCTg5+eHpjUrIdjPB5v+HCGfHOrnjRBvd1UrQnxuyzVfXYPssK5wDnrG+eEnthn1tV+FbU8uYUHD3pjboGe89vi6egWg2/KLGLLuOuqUyCHWetuhR21eolJBT+WDrFmzonHjxtIY6/nz53B1dUWTJk3UWkXTx+QP3MjICGIkrPoZPXo0ypQpo5Y38olyS5LyGumDGM3K6Wi6lidPHuUt+ZkjRw7VOi89kzyyRU5KMY98TVuO9ePbUWtra9B6MP3QtxkS3zt37mDQoEHxrYrzMwEmkAgCZCzTrmEtOH5wwZluBaF/eZOs7cPK4XDe8icq7/2CYM8L8HboBn2zMsLa+YgwyrKGqxDoXkeX45WweN7e9le0LlI5Xq3Yff0dJoqYveJvNjYPr4vutTkeeLwAplBmMriiNV2xbRRdu4p4zkJsIyfa2RISEoK2bdvK9V+6R+K4fft2kCU1JRJXTVP+/PnlOjFF0aPBmTKdPn0aFStWlKeVK1fGiRMnlLfk5/nz59XOtelE/Y3Es+cEVasX0OPJi7MzgaQk0K9ja1y69xTrBzRG+fFDEOoVYehCz9DVN0GQux18XvYTxlg1hfgegI6eOV59+4RuR5YhMDQYR7tMRuWcmo9av4ioRaO33JauI9tWyYcVA2oghxVPNyflO03Kujp27Ijhw4djzZo1OHToUJSqGzVqhBIlSmDGjBlYuXKlNLidN28exPoxXrx4IfNnzpxZOlt69epVnEa4JPTDhg0DGWmJfb2g+un41q1b2Llzp6yPpsGpfnoe5SWjLTLUIiMvbUyJEmBtBMZ9ZgJpgcDvIwZh97GzmNOqNAZtPCVcSfaBQsde1bQwhZnwcBUIw8wtYFlql4zle+3jS/Q7tgrZTa2k+BawyqbKH9fB7mti1LvrLihm79aRddG1Jo9642KW2vdptrJ58+ZyOxIJ4s+Jpn7JlTB5oCJLZbJ2pi2mJJY0hU2JRrIkrCTUN2/e/LmKKOcLFiyAMMySW5RoxJ0tWzasXr0aPXr0kHlr1qyJrVu3Sj8SkyZNAk1P01amly9fRqlLGy7okCVaRugofYuiXzLhCUs13ZER+sV9YAI/E1g480/88dcCTKiVB4vOOUBPRCYKC3RCWMA7eD+zEaLbVriWtBexfLvBosQmMY2oj/0vb2LMmc2okrMIdrYbDWtj85+rjfb8s6cY9W69JYInuKB91fxYPqA6slvyqDdaWOn4Im0boiWNLFmibl2jbtHabaZMmTTuIQUBIeNA2sYUU3JxcZGOQeIzzR1TXen1Oo+A0+ub43ZrJYF9u7bjTyG+nYtZYIH9HSm+BELPuIAc5dIxia9xziEilu8KGct3+R17zLtxCB2KV8f/mg+BkYaWzv9efYtJ/96Fvljs3TayHrrULEjVc8qABKysrGLtVXzElyoiw67YxJfy/GysRde0LcVLgAMCAuSUBa0HDBkyRFpE06I6WdBxYgJMIHkJXD5/Dn0GDET93IbYfuYmDLP8cCtIE1l+TvNkAwwz28Ci2CqEhodh4vmt2PnsCkZXaYUZdbtqZFTzycMfv269iTOPP6FDNTHq7V8D2SyNk7dzXDsT0EICGgswLcqT55MvX76AwpyR5dz06dOlxxNa4CfvK5yYABNIHgLPnj5F2zatUdJSB/vtT8Ks4I9tIgpFGI5d/wWfv15HR7F0dyNAxP99fAGn3j3Epf+eY3HjfhhYvpFGDdt19Q0m7boHQ31d7Pi1PjpVL6BROc7EBJhA/AloPHQVkY8gomLAzc0N+fLlk0/atm2bHP3S/mBOTIAJJA8B8sXbrH4tZNELweFdW5CtcmPVgxThgfBx6In7Lo/xNjBiGvHdf/tw++kckG/nXe3GaiS+Lh5+6LjkPIZvvIkm5XLj7oJ2LL4qynzABJKHgEYjYLJqo72+tD8s8iZssmAjX6IUG3j8+PHJ00KulQloMQEyfmlSqwpCA/yw/39/oUjr/ioa4aE+Qny7IMTnDsYWL4dQ3/vyXrds79Ai1AUjmm1FxRwFVfljOthx+Q2m2N4Ta8N62ClGvR151BsTKr7OBJKUgEYCTObktM5LXnd+TuRlhdeAf6bC50wg8QTIkrRVvRpw+eKGg9MGoerg6apKw4PdhMVze2H9/BZWZY+IoAoNcEhYOg8/vQG5zK1xvOufKBrHNiMa9Y7afAvnnn5C5xoFsLRfdWS14LVeFWQ+YALJTECjKWiKgkH7yWiUS35DKdGoWDjxxtq1a6HNvjyT+f1w9VpKgOwsurVuinvPX2H9oGZoPiPCyxXhCAv8D16PmyAsyBlW5U7CMFNDrHt4RojvRiiggz9rdUa+OMR3++XXIl6vPR5/8MC/oxtg+6j6LL5a+rvG3U49AhqNgKl5NM1MnlXIYwnt2yIvJ+TGjDZYjxkzJvV6wE9mAhmQwIj+PWF34RqWti+Hnv8cU1kvh/o5iJFvO+EjUFcGVQg3KowxZ7fA9vlVlMicG44en2D35i7eebvhz9qdopBx/uaHkZtv4sKzz+hSo6Ac9WaxMIqSjy8wASaQ/AQ0FuDcuXNLl2IUAYm8ltComFxRKn18Jn9T+QlMQDsITP1N2FXs2odJdfJirO014b85Ig4rBVXwft5JnGcXI197eIRZov+Bv/HA9T1q5SmOT989kFtMP78Q7ibJ3/PPArz14mv8ufs+TAz1YDumAdoJxxqcmAATSD0CGgswNZG8pbi7u4M8mJDHFJqG5sQEmEDSEdi6fg3mL1uFoeUzYc7R2ypHG8Ge50RQhR4ijGApuebr4OWHPnZ/wV9ENTrY6XfUyVsyxkZ8dKe1XjHqff4Z3WoVxOI+1cGj3hhx8Q0mkGIENBZginxEU9AU71EEZJbbkTw8PNCrVy8ZEYk8n3BiAkwg4QRO2Nth6IhRaJnfCCvsrqkcbQR+PYDvjoOEoVU9WJXeixPvHTHi1AbkF+u8FFAhNp/OWy6+kqNeUyN97B7bAG2r8Kg34W+ISzKBpCWgsQCPHDkSDRo0wLVr16QLMTISuX//vlwDXrFihXSunbRN49qYgPYQuCu2+XXp3AlVsuji3yOnYFogwtFGwKcN8H07HoZZO8CyxFYsv3sa828eQotCFbGu1TBYGEb4ZZ657yGuvfyCsHCFDJhgZKAnPy8+/4LutQphcd9qyGzOX5K15zeKe5oeCGgkwLT96MGDB9INJUW3oERbj6pVqyaFlxxxTJ48OT30l9vIBNIcgbdv36JVk4bIZxKOff/uQOZKDWUb/f77G/5Os4Vf50HQK7gEQ09txpFXd6Rbyel1u0BXGGIpE00pZxNBEo49+IhC2c3xURhbZTE3xt5xDWFTOcJxjjIvfzIBJpA2CGgkwGZmZiBn3TTi/XnLEfmFJoccnJgAE4g/AfIs16ROdRiFBeDA6rko0FyEFSS/zu8mIuDTGpjk/Q3fs01An/0L8fKbC9a2HIauJWtFedAYEZawVrFsUoDfu/miR+2IUa+1GY96o8DiC0wgjRDQSICprVOnTpUBGPr06SNFmEbFp0+flrEdly5diosXL8ouUYSL4sWLp5HucTOYQNolQP+GmterCS9hS3F05hCUGzBViG+oiO07DEFue2BWaCFe6Nmgn+1s2Qn7rn+gcs7CUToUEhqOFSeeY8GRx/LeBJvS+Kt7lSj5+AITSC4CFA+ADHQpmZiYoFSpUqhatWqcj6MwsuRdkQZxtLzZqVPUrXNxVpKOM2gcD5jCUZEVdFxp1KhR+Oeff+LKluT3OR5wkiPlCpORAMVebSH8O1+/fQ//jmiJTqtPAOTX+UVvBHuehUXxtbDzKIzx57aiZJY80qczebj6Od185YYxIl7vCxdvFM9liVeffdCkbC6UzW+NeT1YhH/mxefJQ4Ci4pGIFixYEL6+vrhx44YM3hOXFpBeFClSBLVr18aIESNkPPfkaWHarFXjEfDr169hYWERZy/IbSUnJsAEYifQv1tHXL51D/90roiOy49CEeYt9vh2Ruj3B7AoZYvFLwOx8t5GGcN3dfPBMNGP2AusrNXTLwgz9j7E1kuvUU6ILUUteu7shSI5LOT6r29gqDIrfzKBFCFAhroUJY8SLa3QbOiCBQtgbGws3RgrYwqTi1X6iRxX4OcGenp6Sl8TtPyZkZPGalmuXDnUr18fAwYMQIsWLaCnp5eRuXDfmECyEZg4ZiRsDx/D7Ib5MWTbJUDhAa+n7cQA2AmGJQ9g8PVnOP3+EabU6ojfawivVz+lfTffY8q/90AiS6PcX1uWFBbPPwyyfsrOp1pG4NQjZ/wn9n4nNmW3MhbxoBMWjtLR0RHkvMnc3BxXrlyRRrq3bt2STaLp6v3794M+o0v79u2ToW7Pnj0LFuD/J0TAKBpSz549YWpqCloLJjEuU+ZHXNLoYPI1JsAEfhD4e+5fWLJ6LcZVtsaU/TeER0kPeD62ESNgP/gX3oOeJ87ho487trf5FTZF1aeQ37l+x7jtt6UbyZYV82B5vxrIlzVjjxB+kOMjTQmM3nILn70CNM0eYz4LE4N4CfDQoUOlNgQEBMgR8LFjP1yoxviQn24cOHAAf/31Fy5cuCBH0D/dznCnGo+A69WrB/pZvXq13I60a9cuVKlSBTQyJiEmQSZLaU5MgAlET2D/nt34Y/pMdC5sjHmHrkLXmMS3nRBhI7zNvhF9jhyEmYExTnafhjLZfmwdIiOrlSefY+GRp8hkZohdo+vH6w9j9K3hqxmVwA4RUvKzZ+K9FNI2tvikefPmoWnTpggMDJTbVkkXzp8/r3EV7969kzpCW1pp+lobksYCrIRBFm4UgKFw4cJywX39+vWYNGmSnGIYPny4nPM3MDBQZudPJsAEBIHLly6ht/iSWj+nHjYdOgWDTD7weiL8OhvlwWm9KRh/bB+qCAtnGvlmNbVUMVMaWb385I1hTUpgZteKsDRRXw9WZeYDJiAI1CqePVU4ZM+eHQUKRExZlyhRAjSVfOLECdSoUQNhYWGqNpGRVnSJZlZJsGmra9euXVG2bNnosmWoa/FaOHrz5g1mzZqFYsWKSas1cku5Z88e0IL55cuXceTIEXk/QxHizjCBRBKgmNntWrdAKQsF/t2xHSb5AuD1zAa6piWwwmcoRl86jm6lauNw50kq8fXyCwZNJTabexr6erq4OKOVjFzE4pvIl8HFk50A7WN/9uyZDN5DIkpxA0grlMJ78uTJaNuQM2dOuXVp9uzZclaVdgpk9KTxCLhx48Zyry/t76K5/r59+yJXrlwqPjQdTb6iCTwnJsAEIgg4OzujWf06yKwbjL2rFyBLBT34PO8KHcsGGPmmJi4438ac+j0wonILFTJ1I6vKwsiqFBtZqejwQVol0L59exk2kwx0aQqZwtS2bt1aNpfC15J/CGtra+nS+MuXLzF2g6ypybviwoULMW3atBjzZYQbGu8D/v333+W0AE0nxJQ+fvwoF+HpG09KJ94HnNLE+XlxEfDy8kLNSmXh8dkFR2cNQ4W+5aWHq2DLNuj8ID9cA/yxufUINC5YTlb13u07xm77YWS1rF915M9qHtdj+D4TSBcE6N8DWTXzEuWP16XxFPTjx4+jtXjetm2bjIhEVebLl09ON/yono+YgHYSIEOU1o3rw9nZBVuHt0a5Hnml+LqbdUa961kQrqOPMz2mS/ElI6ul9s9Q7Q97OIi9vDuFEc2BCY1ZfLXzVyfD9pr2AbP4qr/eWKegb9++DdqLRYnchNGUAG2qViZaWKd1X1oT5sQEmEAEAYoU1r1DG9x7/BSbulVCvZGFEfBxARz0u6LLFT3Uz19EjnwzGZvh1mvhyWrLbbz45IWhjUtgVjc2suLfIyagLQRiFeCiRYtiwoQJ0mtJSEgIjh8/ruaAg77NkOuxP//8U1t4cT+ZQJwERg4eALvT57GkeQG0m1ocQa6bcTK4Mybc18WQCo0xr0EvfA8IlS4kt1x8jbL5rKWRVdUiWeOsmzMwASaQcQjEKsC0lktrq5TatWsHW1tb6dkk43Sfe8IEkpbA9CmTsH7bTkysbo1BC4ojxOsE1nq2x5oPRljWpC/6lWuA/bfeY/IupSeryhjVopS0dE7alnBtTIAJpHUCsQpw5Mbb2dlFPuVjJsAEfiKwdfNGzP17MYaWNcHkVUUR4n8Pf35sjiveWXGo06/IZZgb7Refw/mnn9GigvBk1Z+NrH5CyKdMQKsIaCzAWkWFO8sE4kngpHA4MHTYL2hVQA/z1uZDcMgHDH3VAN4GpXCq22gcvu4mwgXaS09WZGTVUQRP4MQEmIB2E2AB1u73z71PAgL37t1D547tUVU4INq0JSf8Fd/Rw6EOiuRqiN+KdUKPxWxklQSYuQomkOEIsABnuFfKHUpJAuQdrkWThihgHgrbLVngo6eD7k/roG2pLvB+nx9tD1ySRlYXZrREtSLZUrJp/CwmwATSOAEW4DT+grh5aZcAxTxt1qAOTBR+2L/RHN8MzTDYoR5a5O8G24NB+B74HnO7R3iyIneSnJgAE2ACkQnEKsCPHj2Cv3/cUTWyZs0q3YxFrpiPmUBGJkB+bVs0rAdvTzcc32gCV7OsmPSuJbL6NcTafd5sZJWRXz73jQkkEYFYBZhCDJIj+bgSRa6gyBecmIA2EKA98R1FcAXHN69waLURXKzyYP779vjvYWlYGeqBwsF1YiMrbfhV4D4ygUQRiFWAb968CfLqE1di92JxEeL7GYnAgN49cPH6DeyYbwjnHIUw/2knfHUshiGNSmG28HzFEYsy0tvmvjCB5CMQqwC/ffuWp6CTjz3XnA4JTJowDrb7D2HFFAN8LlISf93ojFIGlbB3ek02skqH75ObzARSk0CsAsxT0Kn5avjZaY3AooULsHj5SswcoQ/38pWw9npPzG7aTIYLZCOrtPa2uD0pScDe3h6fP3+Wj6R4AXnz5kXDhg2hq8vGh7G9h1gFODmnoN3d3XH//n3pS7pEiRIxtlHTfDFWwDeYQAIIeNzapFbq+lMnTPlzLvq314NH9dpw/DQa9/9siQLZOFygGig+0UoCixcvhqGhoQzMQwaKFD2PgvVcuXKFI+TF8hsR69cTCwsLWFlZqX4I8MmTJ7Fy5Ur4+fnh9evXoDympqaxPCLqrYcPH2LgwIF49eoVJk2ahMOHD0fNJK5omi/awnyRCSSQQHBQAMJCxqj9uIUdQ4s6ejBs0QhViq3F6d+6sPgmkC8Xy5gEBg8ejLVr12Lnzp3yb3f58uUxatQoVWcVCgVoWZPixv+cSKxJD+gzcgoODsbLly9Bho/KRAIfFBQEHx8fWZ/y+vv370FhQJXp27dvoGfSXn0q83OKrm7KQ/U4OjoiNDRUrQjV/ezZM/lctRuJOIl1BBy53hcvXqBVq1b48uWLNMxq27Ytpk+fDm9vbxw6dAg5c+aMnD3W4xUrVmDu3LmoUKECunXrhiFDhsDGxkZ+g4pcUNN8kcvwMRNILAE9A0NMeTIQFUwd0LPobQw+3wZ+X91RrktzTOt7EFnNTRL7CC7PBJKNwA1nR7j4eiS6/izG5jJedUIq0tPTw+jRo9GkSROpF6QTLVu2lELq5eUFEmcaeOno6MhQtx07dkTFihWlOC9fvlxqzcSJE2W422zZssHFxUVG4ytbtqzUHRJVmvKmGdKaNWtKsXR1dZXiuXfvXtSpU0fqS+nSpaWok35R1L5ff/1Vdiemurt37y5FnQIRffjwAWfOnEGBAgVw4cIFGfeenk8zt0uXLsWgQYMSgkatjMYCTN9uatWqhfXr16NSpUqykm0ocpjnAABAAElEQVTbtqFz587YvXs3xo8fr1ZxTCf0rcLZ2Vm+AMqTI0cOOYImwIUKFVIV0ySfh4eHavuTk5OTWqxiVUV8wATiSUBPVw8L+y7Fum2dZEmHbQcxZHRLTBl7PJ41cXYmkPIEhp1chy9+Xol+sIWhCd6PXJPgeipXrixHqvS3mYSMdGPdunVSECm6Hi1x1q5dG7SNdceOHVJ07969i9WrV8ty+/fvh4ODg9QHGozRzOvGjRtle75//w7KSwJMGkK6NHToUJB479mzRwowZaxbty5mzJgBcpqTP39+kNBTuejqXrRokRR5ykuzups2bcKnT5+kAM+fPx///vuv/EJBQl+/fn05i0tfIBKTNBJgcsZx584dbN++HZaWlqrnUcfHjh2LDRs2aCzA1DkzMzP5zUdZEU1zk5hGFmBN8nl6espnUz00dWFiwiMTJVP+TBiB0LBwrDvriJ1nd6JZlog/YpMGNMTQ8fYJq5BLMYEUJrCq2SA4+3xL9FOzmv34W5+QygICAuQUsLm5uRQ8qmPAgAGyKvr7fuDAAeTLlw8kpjRSplStWjUpxpMnT5azosrlTZoppdHnmjURXwhIWEn8aHRMy6AtWrSQ5XPnzi3XneWJ+B8JLqXs2bPLLwDkt52En2Zco6ubRukFRYx7uk9ladD59etXOUqnLwk0vU6JtOfWrVvyvryQwP9pJMD6+vrSmo3WfX9O5KgjPpZuNDXx8zw/jXbJci5y0iRfkSJF8ODBA1mM4hbTS+HEBBJK4PyzT5i06y5M9E7juVt1VM5KVp2PMPHDQDzdfhurB9ZKaNVcjgmkGIHGBcul2LNie9CNGzeQK1cuKZKUj0SyXr16qiLW1tZSPOlvPa3VKhONevPkyYOnT58qL8m1XVr3pbyUSNQjp5/1I/I95TGtA5PokoX2kydPlJfV6qYvBTRdTdPjNLgkb5AjRoyQy6O0VKr0eTF8+HAULVpUVUdCD2I1wlJWSsZXzZs3l6NcGr5TolGxra2tXHSnbw2aJppbJyEnmMpEo1/65hI5aZovchk+ZgIJIfDe7Tt6rryE9ovOoWwBO5hd3Yhj3Wfhl8onEBqug6NdpqFSlpUJqZrLMAGtI0AjXxod0rIkGdlSorXV27dvo0qVKnLNlqymSUsyZcokp6FpGxMlWmul5c4uXbrg1KlTcvRJ12n0Wb169XgN9qgcrQdTIuMpmgqvWrWqXDaNrm4a6dKaMU1V03rxyJEjpTEWjbJr1Kghy9N6M90nI+KfjbTkg+L5P41GwFQnTTPTkJwg0NC/UaNGckG9R48eGDNmjMaPpdE0dcbOzk7O/ZOZOn0Toh9KtPBNBl30jSa2fBo/kDMygRgI+AWFYIn9M6w84QArC2BsW3u42B7B2WuhGN/XH8HZcuKdSxgyFS+JmpZlY6iFLzMBJkAEevfuDfIdQaNEmsalkeO4ceMkHJpCPnjwoLxOsQPKlCmDnj17ynvTpk2TAk2GufR3n9Z6aUBGRk40yqRRNC1TkrFvfBPNjJYqVUpaQdPasFJroqubllSp/fQlgZZaaaCodLE8e/Zs2V5aJybvkPTlIj6GxzG1W0cM/X+M/WPK9f/XKSsJJplo06iY9u/SHHl8E30ToW9GNJ1A09e0SF68eHFZDVlaL1y4UFqwxZbv52cqp6Bp6xJZ03FiArER2HfzPabuuQ93nyB0a5QV+cwXw8vuMpZuD8Xv5QzQNa966WythqDQ6IQbpKjXxmdMQDsJ0NYh0o7opoxp2xDNfEZOtFWIZltppBzfRFPNly9flnWSgP9sMBVT3aRzNCv7c1vo+TRKphFxUiWNBZhMvmlY3qBBAwwQC+n07aBw4cKYMmWKNDenkW18E5mjawJWk3wswPGlr535H334ht933sWt11/RrHxuNK+rC3+XiTC49wRjF4ZgcFFd/L3JFvoWmdUAGWbNC5P8pdSu8QkTYAJpl4BSgMlWKK0mjVWThtxkfv3HH3/IvpDFMZmGkyjTPqlOnSK2bMSno5qIL9Wnab74PJvzaheBrz6B+OvAI2y7/BpFclhg//iGuOd7Hfpf/kKed2/RZ1EoWuXWwV9z5yNLg+7aBYd7ywQyIAHampQU08TJiUYjAaah+unTwjJUWDwrjaVo6pjm8MmEnIyxEiLAydkxrpsJEAHaVrT+nCPmHxau8cIVmNOtMno2yIuxZ/6HLoabYe7mgs4zFKiaWQfLxw9A7u6TGRwTYAIZgABtJUrrSSMBprlzcgVGzjKUAqzsGM3p03w5JyaQ1gjQtqLJu+7h5Sdv9KpbWIqve4g7uh2Yhpm57GDq4Yk2IqpRfuMA/NOvAYqNW5fWusDtYQJMIAMT0GgbElm1NW7cWK73RvbjSZuayfNIfLYhZWCW3LU0QoC2FfVYQduKzsPc2ACXZrbChmF1cMP1Cfod+gPL8x1G9mB/9JxiCuOQQKxpWxwVZx+Crr5BGukBN4MJMAFtIKDRCJhAkNtJ8v9Me6DIRJumpck5da9evTBhwgRtYMV9TOMEIm8rymRmiHVDa6F33SIIF1aNs6/uw/Hne7Gn1A3ohxmh0zQLeLu9wdYmmVF78Qnom8ffyjKN4+DmMQEmkMYJaCzAmTNnxtWrV+UWJPIOQmvA5cqVkxuX03gfuXlaQCDytqIRzUvijw7lYWFiAM9AXww5sQ7e367gUJlbYo+i2Os3zRqOL25gbS0jNFl6DEY5CmoBIe4iE2ACaY2AxgJMDSfRpU3N9MOJCaQFApG3FTWvkBuLeldD0ZyWsmnPvv6HfvarUcrAEWtKXYWBaRmMXZYbFy8ewJLKumg7fxfMS1RLC93gNjABJqCFBOIlwFrIh7ucRgn8vK3o4ITGaFExj6q1hxxvY+zZLeib6yvGZb8IQ6uGmL+jKHb9uwLTy+mh+x9LkLlOhKN2VSE+YAJMgAmkIAEW4BSEzY9KPIHothWNbFEShvoRTtrDhJu4udcPYPX9k1hU2g9tTU7BKFtXrLcrjcVLhNOYknoYOHQYcnWKcJGX+BZxDUyACTCBhBFgAU4YNy6VCgSi21aUI9OPEJTK9d4r/zngQPUAlAk7BpPcI3HifnVMntIDXQoZYlSXZig4cnUqtJ4fyQSYABNQJ8ACrM6Dz9IgAdpW9IftfRx78BFVC2eV24qqFsmq1lLleu/3oO+4Vu87Mvsfh2mBWbj3vgb69m2ORnmNMU2MlIv+sRs6/x/STK0CPmECTIAJpDCBWAXY3d1do5BL5Fib3UWm8JvTgsfFtK3oZ6fqyvXeYsJh+/HKztD/fgnmxdbgzdcqaNeuLspkNsS8OtYoNccOeqYi7BEnJsAEmEAaIBCrADds2FC6n4yrnV27dlWFbYorL99nApoQ2HvjPabtjYhWRGu8U9pHbCuKXJbWe+dc349/7p9Ct2KlMSf3cYT7PoZl6d1w868oHMTURDbDcGnxXG7OEVBABU5MgAkkDwEK00dbVCkCEYX2o8h2yjCz9ERvb29Q3N93797JMIOtW7dWDdy+fPkididclO6NyeUxBdehRBHzKCoRBQGKXNfx48elZ0aZKdL/mjZtKoMERbqUpg9j9YRF8RsJKP1QEAYKGXj48GEJ8MaNG5g5c6Z0TTl27Ng03UluXPohQNuKms45hcHrrqFcfmvcXdAW83pUkXt6I/fCI8AXXQ8vxf/un8bcWg0xN+ceKAIcYVXuGPx166JFixYI9/fG8nJBqDTDFmZFK0cuzsdMgAkkIQESX3LKRHF2KawgiTDpxdmzZ+VTKIwfxZLfv3+/jKe7a9cuVK1aFUrPiq9fv5aBfSjzhQsXZEhaCi178+ZNrF27VorqsWPHVC1etmwZKL4v5Yn8Q5Hz0lOKdQRM8X4pUXxE+maxc+dOldvJQoUKyVjAYWFh0h1lnTp10lO/ua1pjABtK5p94CG2X34joxX9vK0ocnOV673eQf44bNMRpTx/gyI0DJkqnEWoXlG0Fb+rLk7vsa5yKKqNWwHrGmnfKXvk/vExE0hvBCimu7OzM+7fvy9HrdR+GgEPGzYML168gJ2dnfSiePToUVXXyLMiCbEywp7qhjigmO4kvMpEwk3iTnUp4/T2798f9JOeU6wCrOxYQECAnD4oVqyY8pLqk6YalNMFqot8wAQ0JBDXtqKfq1Gu9xawyobDLZvBzGkQdAwyw6qsPXQM86Fn5864e+c2VlUBavcZg5ztRv1cBZ8zgQxNwO/NQ4R4uSa6j3rm1rAoWUOjemhKePHixSrxpUIdOnQALWOSjRCFrH38+DFOnjyJJk2awNDQEEeOHFHLH9uDaJlz3LhxuHbtGtq3bx9b1nR1TyMBNjU1laPdiRMnYuvWrbCysgKJ8qVLl+RUAcUK5sQEYiLwxcsfD9+rR8yqVjQrHjt5RIlWFHlbUeT6aL33r2v78b8Hp9C2aFWsrFEIQa96CaOqkrAqcxi6htkwcuRI0DfsBVWN0KhlK+QfujhyFXzMBLSCwKvZHRHy7VOi+6praomqB9zjrCcoKAhPnz5FyZIlo+RVGufSDOq8efMwZswYfPr0CXXr1sXgwYPRrVu3KGViukBT1o6OjqrbFIt+0aJFqnM6IJHX19dI1tTKpdaJxi3dsmWL/EaTPXt25MmTB58/f5bBGIYOHSqhplYH+Llpn8C1l24YsOaqWkNrFM2G22++okrhLNFuK4qcmdZ7h5xYi6sfX2Ba7c4YXtAX3x17wMCqPqxK7xHbisxBU2A0ZTWpihVsapZEkck7oaMbq4lD5EfwMRPIMAQK/LIMgZ/fJbo/hllya1SHkZGRDNBD67x588Zs6EhaQT8ODg4yvjyJsZOTE2hgp0ny9/eHubm5KiuV79hR3ZtdehJf6ojGAlykSBHcuXNH/jx58kQCr1atGgdjUP068EFMBFpXyguHZR3R958r8PANgvM3P7xz81FFK/p5W1Hkemi9t6/9KvgEBWBPh/GoZXBJiO9k4d2qCyyKbxIiayhnZebMmYNfKmdHz9JmKD7rMPSMzSJXw8dMQGsIZK7bKcX7WrlyZdy+fRuVKlVSPZuMsSiMLU1Pr1u3Ts6i2tjYSM0oXbo0yMaIvjhrIsB+fn7SGJgMf5UpZ86c0tBLeZ4eP+M9RKCRr6enJ5o1awb6RkLWb5yYQGwEwsIVOHTbCU+cPPHBzRcjW5TCk8Ud0adeUcQmvgdf3kKrvfNgZmCMcz1nooZiH/zeTYZx7hGwKLFdiu+JEyfkt+r2ZXNhSMFQFJ99FIaZc8XWHL7HBJhAEhMgIZ02bZoUYaqaxJfC1FLEPBoVk1hOmTIFZO1MKSQkRC4XRRZseeOn/5GRL42Sf/nlFym2NHWdoZKwcNYoiWkDhVhIV4jpBoWBgYHiwYMHipYtWypq1aqlEKKsUR3JmUkszivEi1EIk/TkfAzXHQ8C374HKuYcfKjI88sehWX/nYpCo/Yp2v19Ns4aQsPCFDMu71FkWT5AMcD+H8X3ID+Fj+MvCrcrJgpfp4Wq8uIbt0LYJyjqlciruN7KSOF577TqHh8wASaQsgSERbNCjIQVQnAVQnAVwmpZIfb3ykaIgZpCiLQia9asCrGMqRAx5RWdO3dWiL3B8v6VK1cUBQsWlMerVq2Sf8tF9D2F2Acs6xLWzgrhGErVITGyVogv7wrKE/lHWFSr8qSHAx1qpCbfKGrXri0t2davXy+nGQ4cOCD3AAuIoJ/UNsQiS2z6dkR7wsiEnVPqESCjq9WnXmDT+VcICQtH/VI58PQ/T3wPCJEjXitTQ2wbWQ+1S2SP0sjI671Ta3fC2CpN4POyL4I9TgnvVqthknOgLEPfpOl3MpeFEVYVdUXp8WuRvdWQKPXxBSbABFKWgI+PD8zMzGK0cKa1YjLkJUtobU8arQHTVDOt/27fvl2u/Sqh0RYkcsKxYcOGVBdgZZv4M/UIOH31xYoTz+VeXn1hADWoUTGMsymNrz5B2HfzvVrDcmQyVjunk6duIn7vsYj13r1ivbdh3nzwetYGod8fwLKULYyytpNlXF1dpaMNc0M9LCrkiiI9JrL4RqHJF5hA6hAQo9tYH5wtW7ZY72vTTY0EmCzLxDAftBD+cyK3YXSPk/YScPzkjaXHnoHcR5ob62Nc6zIYJdZ5s4jRKaWcmUylV6vYCNF677hzW0H7ew91moT8JqHwetwU4UHOwruVvYjnG7H24+vrC3Jh5+PliY2Vg1GkUWfkHTgvtqr5HhNgAkwgTRLQSIBpqqB58+ZylKvcd0WjYltbW7n1gxbXOWkfgccfPLBECO+Ru07Iam6MGZ0rYljTElHcRsZGhvb3zr62D2senEa7YtWwuvlgGIX8J8S3DRAegkzlz0LfvJysggw3OnXqhJfCG876uqYoXqYiivy+NVZDrtiezfeYABNgAqlJQCMBpgbSNDPtuSJ/nmS52qhRI2nJ1qNHD94HnJpvMBWeffOVGxbbP8WZx5+QJ7Mp/u5dFQMbFoOJoca/TrLVEeu9a8T+3peYVqcLxlWzQcj3e2LauSN09TPBquIZsZ2ogMxLpgrkio78xK5qmgdlcxmh+EzhgMPoRzzgVEDBj2QCTIAJJJiAxn8xc+fOjVu3buHq1at4+fKlXEAnYyc2eEow+3RX8PyzT1hs9xTkWKNIDgv8b3BN9KpTBAb6sS9B3Pn0GuseRjhlV3a6vRjtzrq2V+7vpfXexgXLIdjzHLwdekLftLjwbnVEerdS5p88ebL0Gzu/VUnUMHNHidmnYJApqhGXMj9/MgEmwATSOgGNBZj2/VIkpPr168sfZce2bduGM2fOyOlo5TX+zDgEaOR57MFHLBLCS+4ky+bLhK0j66Jz9YJi7V9Ho44GhYXiq4hM9MJdxOrV1YO1sTlOv3uIwplyyvXeQkJIA9324furIcK7VT3h3Wqv9G6lrHzJkiXSz+wUm6poqvMcxaadgEn+Usrb/MkEmAATSJcEYhVg8myiDCdFTrAXLlwoHWsre0qbpMmhdnRBGpR5+DN9EqC12QO3nLBETDW/cPFG1cJZsXdcQ5BXq9icZ0TX23r5SoF+2u1fiC9+Xnjt+Vm13mtmYAR/l/8JBxsThZVzZ+FgY7N0sKGsZ9++fZg0aRL6N6mGjuGPUHD8RlhWaKi8zZ9MgAkwgXRLIFYBLlq0qPRmQs62yQCGXIpRgGRlEg45IDZPq+I4Kq/zZ/olECzC+v179R2WHX+G98JrFe3hXdSnGhqVSZx3qQ/ebiC3kj7BAZgu1nvHivVeSn4fZsL/42IY5xoO8yJLhLj/mM6mYB/9+vWDTd2qGG7wELl7TkW2Zv3TL1xuORNgAkwgEoFYBZjiLipDDbZr105OM0d2hh2pHj5M5wT8g0Kx9dJruY/3s2cAWlbMg/9j7yzgozqeOP6LECWE4Frc3bUUKVCguBV3KFCkQIEWK4UWihQoxbVocSnuToGixd09gRDX++8s/3fcheRyuZzfbD/pPVn97uPN293ZmUVfV0V54TQhOYGmsP86txQ37ixAu7QqZBEuzjpmvILosEIIE4I3/MWf8MoxGt6faGvSk3cVcmdWukgBDPO5jPSftUG2Dj8mpyqclgkwASZgVQR0CmDNmpJDZXJBSE6Xo6Oj5S2aghamxCBMhMltSprx+dg2CASGRmL+vhv4Q1iuCgiJQNNyOfBdo2KJ7tvVp3V33jzHgL1L4BN6AJNyX4MLokQyJwQ/OoN3r3bBNfQ0Uub9A56Zu2pl9/DhQwgzp8iSMT1+yf4EafKWRy4x9cyBCTABJmBPBPQWwMLOJ77++ut4jXGQiynaJ8zBdgi8eheOWbuvSeEbGhmNryrnxpCGRZE3k24rNvq0MFYVi3lC6/nn4xuQ1ssHLQv2Qqkz2fBn/gN4G+2OAXerYFH+4/ii/Eqx7qvtXDsgIEAKXyeoML1kDPx8MiDf6A1wFmvFHJgAE2AC9kRAbwFMLqNatGiBDh06yP3ApJxF5iknTJgg/+wJij235WlAKGbsvILFB29BzA6j02d5peWq7OmM477vVsAz9Nu7CP8+u4OORT/D2GqtEREdhZo5iiHr0+uICHuI5QX/QdlSs4Xw/VwLdXh4OGipgxx2L2uUG+kinqLAT3uQIlVarXh8wgSYABOwBwJ6CWCaZhZeLTB+/HjpWopseaZOnRr9+vUDKWj98ssvmDp1qj3wsNs23H0RJBWrSMHKPYUzen1eEP3qFUJGX+MYsiCtabJmNfHkRmTw9sWGZt/hs08KS54+bp5IFXkegZHX4OXihNpVdwrrVsW1WNNyRps2bXDmzBks7fQpMj//B/km7BauB/NqxeMTJsAEmIC9ENBLAAuXbyCNZw+P9wb0CxYsKJWzyKFyhQoVIFxA2QsPu2vHlcdvMPXvy3JLUWrvFBgq1ne/rlMAft7Gm9K94f8E3+xZhPMv7qFr8ZoYXbUlUrq9f1ZUqmiEPhgnNJ2FhrOLD1xTVfxI+BL0b775BqRnMPvrJshz72/kHroMPkWq2F1/cIOYgL0SIANN+/btA9lrJz+/devWlU19+fIlaBsrmZE1JJAiMDl4IN/C9hY+7PnQ0TISviVKlMCYMWMQFBQkrV+tW7dObk0ih+i5cuXSkZpvWYLA2buv8dX0Q6jwwzYcvvoC41qXwtXfmuH7psWNJnyjY2Mw/fQ21Fj1I96EB2NLi2GYVLODWvjGhN+XDhVI+HplHyYFr5Oz10c4yJn33Llz8fPXX6GUEL5ZO45F2upffRSPLzABJmCdBLZt24ZatWrhwoULePv2rdy+2q5dO1lZEsBkxMnQQD4HFHsUhuZhren0GgFT5WfPno2GDRuievXqIKWrMmXKgLYk0dQhjVw4WAeBo9deSHORB648wydiXXdap/LoWC2vmHb+sH/bGDW9+voR+olR7yXhQrB7yVpyb6+XhqJU+Mt1CL79jRj1poJXrp8R8XI1YsMfCCVoFwScqwCfvDPF2m55LF68GOPGjcPQHu1R88F6pPu8I7J+xTMqxugjzoMJmIvAH3/8IQdoPXv2lEUOGTJE2oi4ffs2aMb0999/l9dpdEwDusjISDx69Aj58+cHedtTAvkKJl2QzJkzy5E0LXXGDXSf8v3kk0+03OPGjWcL5x9ankhty5UrB9oeQuBI8JLjezJBSSYqc+R4bzA/kSz4tpEIdJ51FBtP31fnRg7uF/aqKs1Fnrr9Cvkzp8L8npXRqlIuuLroNcmhziuxgyhhVnLGvzsw9dRWZE+VDn+3HI6KWfOrk6liQhB0ZxAiXiyHW9pG8Mk3GzHhdxEbegNIWVodz8k1lTTs0qtXL7Rr3gitAnbCq9inyNl/jjoOHzABJpB0AtGhtxEb/SbpCeOkcHbxhqv3ez2OOLc+OiUZsGHDBlSpUgVFihRBunTp5BZVMtxEPgR69+4tZcaoUaNw7949kBtbEq4kkMniIk0xd+vWTU5h0zHpGZHFvf3792uVRc5Y2rZti6JFi+Ls2bNS94ictNhq0FsAUwPJqAIJXvoCoUDQb968KUEXL66tVCMj8P9MQqBNldwonC01ftpwAVUKZMD9V8Fo/tsBFM/hh+XfVEPjsp/obac5KRX8T4x2++1diCuvHuPr0nXwQ+Vm8HR1U2cRFXweQdc7IUb48E2ZZzo8s7z/GnZOkQYpfMqq49EB/aNr1aoValb7FAO9LiOFZxbkG7FWeEFKoRWPT5gAE0gagbf/fQFV5NOkJYonNulspKv8Ip47H1/67bffpLtaEsDe3t5yYEYOVAoV+thmO41eSW6QgCXvejSQo1HwyZMncevWLTlCJi97ZF8ibiCF35UrV8rp7hcvXki/BF26dEmyedy4+VrqXG8BPGPGDNDXC60Bxw0tW7YE2ezlYB4C1QpnxI1ngbKw4zdeomK+9JjZpSLqlMhqkgpEilHvb6f/xvQz25HLNz12th6BspnzqMuiD7OwJzOFWclRcPHMB7+Sx3R+OdM/vi+//BKFChbA+AJBcH4TjgKT9ok14o+nm9SF8AETYAJ6EfDOORYxYbf0iqsrkoub/u8TErrkspamok+cOAHSEapUqZJUvopbRv369dUCM0+ePFKmkAJXgwYNpJc9it+8eXPMmzdPKylNT5My17Jly7B8+XJ5782bN3KETWXZYtBLAMeKLSaTJ0+W+33JNi/B1gxJNc6vmZaP9SdAe3jnCatViw/exJuQSJlwWONiGNW8pP6ZJDHmhRf35VrvjYAn6Fv6Cwyr1BQeGqPU2MiXeHezB6Le7BX2nHsgZe5fhTOF9xrQSlEBJzbj3vSeUAmlLVWsCkEhIaiQMR1GfJ4FuHEE+Sfug3smVuRTePEvE0gOAc+M75WfkpNHUtLSjCjpB5FjHpINpCdEf6GhoXKZ6bPPPtPKLk2aNOpzZ2dnObNKa75kflYJtPU1vuDm5obu3YXXNLGOTIGMQ5HPAlsNei0Q0rovTQeQbV4fHx8xvems9ccC2LTdf+6uP7rNOYbCgzdi9p5rwlqVDyrlf2+jedeFJ+g064jRK0DGM8YLS1Z1/xoHsmy1q/VIjPm0lZbwJf+9AefKIzroX6Qq9JdQrJrxkfClinlmy49MTQbAxdsPT4KisPmFO4Y1rQqX//Ygz5ClSFmwvNHrzxkyASZgHgK0PZVkxODBg6XQpVLJZDFNKdN2JH1C06ZNsWvXLqlc5e/vL6eZ46ajdWHa9vrgwQNUrFhRKmHR9LNiGjlufFs410sAE2BSKZ82bZoasC00zpbrSIYttpx5iNrjd6Hajztw9PoLjGpWEjemN0e9ktnh6eaKmkUyIa2POyKjY43a1HPP78qtRTOFslW/svVxsN1YlM6UW12GKjYKwXd/QODlRnD1yg+/0qeEVatG6vtxDzyFQY4MLYfixotA3A6MQoNOfeF+dhOyd52ANFWbxY3O50yACdgYgfXr10sl3QwZMiBLlixS8JKCpb4mikmfiDSna9asCVr/JSUrZZSriWLs2LEYMWIESOeI8v7222+RKVMmzSg2dewk1u+EQcLEA311kHYbTUdT42kUrASCRlayLBlos3bVqlWlkljJkqabkjV1G9+FReLPw7cxZ891PHwdgjK506Jv3UJoVj6H0TWa47YlXIx6fz25CbPO7ULBtFkxs043lMiQUytaTNgdvBOKVtHBF4QXoxFyf6+mC0GtyP8/oUeMTJhWvb0GBQsVhterG0hftyty9ZsdX3S+xgSYgI0SoG2ptFabVKF4584dObIlWUKBlLpoSnrJkiXxkqAyaERs60GvNWBqJNnopXl6sm7i5+en1W76WuGQPAL3XgZJobvsyG2ERsSgUdnsWNy7qlCwypC8jPVMfebpbWnD+X7gKwwq3xCDxV8KF+3HI/zFKgTdHiAcI6RB6hL7xD7einrlPnToUDml1LVNXiF8b8JX7BvO2ef9vkC9MuBITIAJ2AQB2naUVOFLDaM0NWrUkP6/6Zw0nTdu3EiH8QZ7EL7UMO03bLxNhdyrdenSJVy9ejVetfIEkvFlPQgcE1PL5Apw+/lH8PFIga418uHr2gWFEY2UeqROfpSw6Ej8cmIj5p7bg6Lps2Nfm9Hi9xOtjGOjg4RRjf6IeLVGTDU3Q8p8s8R2IV+tOAmdTJkyBfQ3YcQQ+FyaDScPb+T94S9hj0OvRy+hbPk6E2ACdkSAlLcuXrwo9wHTejJpO2fNqr8Wtq2i0OstSIY3aI6e/AFzSD6ByOgYbPjnAWbuvopLD94gV4aU+LVdWWmxKqUQwuYKJ5/cQP89i/E4yF9oNzfBwHIN4OqsbTErKkj47r3eGbGRz6Xg9czURe/qrVmzBjT67dWxDercWYVYIXTJvrOLcFHIgQkwASagSYBmVmlLqyMFvQQwAaHFb9qbRQvlZPvZ0/ODFx1aeKf1YQ66CbwOCseiAzeFD96beBEYhk8LZsRfA6qjfqlsJjGckVBtQqIihIbzeiy4sA8lxRrvsob9UChdNq3ocm/v42kIefCjEJiF4Vdqo1C4KqAVR9fJwYMH5XRSo7q10D38IFxTZ4Brljxw/r+TBl1p+R4TYAJMwBEI6C2ABwwYIC1ekdeauIENccQlon1+9fFbuX1o9XFhklEoLLeomBP9vigkLFd92A+nncJ0Z8ceXceAvYvxLOQNRlZuLrWcXTQU6qjkmMhnCLrRHVFvDwprVn3gLWw5Oznr7z2JlitoW0G5EsUwPOVluPtlRMGJe3B7QlvTNYxzZgJMgAnYGAG9BTCZ/UpIYZoW3jloEyBW+/57iplifffA5WdIJ7YLDaxfBD1rFUDG1B9mD7RTme4sODIcPx1bh8WXDsgtRasbD0T+tMIQRpwQIWwyB93sJa+mKrIB7mnqxYmh+5TshderVw9ZM6bHz9kewTtdFnzSexqerZ+C8Gd34Oz/FA8XDkWGej3gkTWf7sz4LhNgAkzAjgnoLYDd3fUfAdkxr0SbFhoRDRrpztp9DTefvUPhrKkxq1tFtK6UGx5ulvlQOfzwihj1LsGr0ECMqdoKfUrXRdxRryo2AiH3RiLs6SykSF0DPgUWwsUtc6Lt1YwQEBAgteSdVDGYkv8t0mTKjoITdiP4+mkEHHvvjkwVGSaP/cSaMwtgTXp8zASYgKMR0CmAyWA+KWDR+u7hw4cTtDiSMWNGuXHa0eBptjeumcg6JbJgSofyqFk0aUJMM8/kHgdFhGHM0TVYdvkwymXOi3VNByNfmo/rEx16UyhadURM6FV45xwnLFcNUttq1bcOpKBH5uieP32CeRVTIFv2nFL4pvBNB78KDeSfvnlxPCbABJiAIxDQKYDJPRQZ3SCHyI0bN5ZrwPFBceQ1YDIT+YfQZt54+oHYN+uMdlXzoE/dgsIloH7bdOLjaYxr++//h2/3LcWb8GCMq/YVepWqDWenD8ZTlDLCnv+JYOE+0Nkto9jbu194LSqn3NL7lzbft2nTBmf//Rd/VPZE4Xy5UeCXXWKfcFq98+CITIAJMAFHI6BTAJPrQcXO88uXLxNko2kVK8FIdnSDzET+ffaRnGY+efMVsvh5STORXWsKT0Delp2qfxcRihGHV2P11WOoJPz0bm4xFLlTZ/yIfmx0IIJv9UXE641wT98aKfP+Lvb2GrY9qG/fvti6dSt+reiDikXyi5HvLrj6mF/B7KNG8gUmwASYgBUT0CmANW1xkquoTZs2ySlpzfYsXbpU+nOkUbK9BzITufTQbczd+8FMJFmrMoeZSE22NLUcHhOlvuQs/Gqm9fTBnnsXMUiMekkIT6jeDt1L1FJ/QKkji4Ood/9Ic5KxUQHwyb8AHsnwnjJ69GjpNmxYKW/UK1MQBX/ZycJXEzYfMwEmwAQSIKBTANMa8N69e2VSskwyceJEkGMGJdDUI7mgypfPvrVZLW0mUuGt/A7YtwRbb51RTpEyhQfq5ymFtddPomq2gphRuytyCL+9cYNKeDUKfTQJoQ9+Fr53SyB1sR3Cf2+euNH0Pl+0aBHGjRuH7oU80b5qURT8mYSvtplSvTPjiEyACTABByOgUwCTn8VBgwYhIiICUVFR0rej5pYjGiHnzJkTP/zwg01jm7fvuthi9aEJBbP6onrhzLC0mcgPNdI+Ii3mWjmKYcC+xaiTqzhOPbmF7XfOYVKNDuhSvEa8o96YiCdib28XRAUeg2fWAULZ6iextzeFdsZJONu2bRt69uyJL3OI7VW1S6AACd+UqZOQA0dlAkyACTg2AZ0COG3atCAvQxTIGQNNM5NWtL2Fwcs+jCapbVUKZMAPq89KM5G5M/hgUrty6FAtD8xpJlIX47KZ84gp5/f9sOfeJXz2SRFM/7wzsqdKF2+yCP+/xd7erwGnFPAtuhVufp/HG0/fizQz0qplC1RM74LxjUpJhStXb8sqnelbd47HBJgAE7AWAh+rxSZQM5pqpmloMpRNgQzsk2Z0Qu6iEsjGKi8HL+uA37tUkHXLkMoDx2+8hK+nG9YMrI4Lkxqjd52CViN8qZJ7xVpv/TU/y/q2L1ING5oNiVf4qmLDhfeigXh3tbWYGi6LNKVPJ1v43rx5E/W/qItcntGY3qI0ipDCFQtf2Rf8PybABJhAUgjoHAFrZkROkCdPngzy20ij4uHDh4MUs/r37w8vLy+0bt1aM7rNHtO+3f71ClvETGRi0IKEEYsxR97v6y2VMRdehQVJz0XPQ94ik7f29G90yNX3e3vDbglTkhPFtHO/eKemEytT8/7z589Ru8Zn8IoKwrz25VB60h5hJzqVZhQ+ZgJMgAkwAT0J6D0CnjNnDnbs2CG9Ii1fvlwK3y1btuCnn37CX3/9pWdx1hnt6LUXuCWsVlGgfbyWsliliw7ZcK62YhTWXjuBoumy4/yLezL68EMrUPHP77WShj1bgDcXqgKqSKQueQhe2fonW/gGBQWhTvVPEfT6BRa2Lo1Kv+1l4atFnU+YABNgAkkjoNcImEwM0gu4evXq0iXhoUOHQAKZQp48eXQ6Tk5adSwTu96EPeqCG07aJ9d753SvrL5myQPy1/vz8Q2Ye36PtOG8tslgBEW8w4tgf3W1XP9vi5u2FQXd6oNI/61wz9AePnmnCb+73up4hh6QAl6jOjVw+/Zt/NmmFD6feYBdChoKk9MxASbABP5PQC8BTH4aaZr56NGjePbsmVwH/uKLL6RpSvL5WqNGDZsGemZCQy0taD9vN6toz7nnd9Fn9wI8CHyFHyo1wwDhr5dsOL+79h2yCwMaSnBy8UFk2g0Iut4Fqph3wo7zUnhkaKXcTtYvOZVo17gejp46iznNi6PZ/CNi65L9KeIlCxInZgJMgAkYQEAvAUzWsGgNuG7dusKdXiz69euHTJkyoUmTJiCN2GHDhhlQtPUkKSQcJlhTiIqJxuRTWzH9zDYUTJsVe9uMlmu9Sh09MvcUZh6rIPjuYLhnEkI36jUCL30hFa1SFRRTwx45lajJ/u3f6Sus27kfE+oXQtflJ0TeyR9RJ7tSnAETYAJMwA4IOIkRjsYOWN0tunjxIsLDw1G+fHm5pkhO1+nY29vyL2VSDKtatSrIfGbJkiV1N8SK7159/Qi9dy3ANf/H6FemHoZVago3l4+/k2i62f+fbHD2zIvYsDvCgcJgsbd3tOiXj+Ma2txx3/bC6Onz8V31vJiw8wILX0NBcjomwASYQDwEkvS2LlGihFYWtj71rNUYC5+Qfek/zu7ExJOb8InYz7uz1QiUEft9EwqRbw7KW6rI1/Atth1uqasnFNWg60smjpTCt13p7EL4XhTC18ugfDgRE2ACTIAJxE9ApxZ0ly5dpJF9Jendu3e1zun6gAED7GYLktJOc//efvMc9df+jHHH16NTseo41P4nncI39NFvwqpVB1lN71zjjC58/543BT1/+Bl1hEGSJUevsvA19wPB5TEBJuAQBHQK4DNnzuDp06dqEEeOHMGQIUPU53RAM9hJmMXWSuvoJ8Rt4YV9qLFyDF6EBGJT86GYWKM9PF3jVwJTxYTKvb0h90fCI1N3iY8UsIwZjq6egzbffIdS2fyw+fQNpPBihStj8uW8mAATYAIKgSRNQSuJ+Df5BB6/80e/PYtw9PE1tC3yKX7+rA183DwTzDgm/CECr7ZCTOgNuAoFrIhX60RcF+lSMOT+KKQtfyPBtPreuPT3MjTt0le4V0yJXWeuwDOVdSmn6dsOjscEmAATsAUCLIAt0EurrhzFD4dXwdvVHasaDxQOFbTX1uNWKfLtEbH1qJ1wnuCB1CX2ITbiIaJDr6ujOTkl3wfxvX1r0ahtZ6Rwc8f+UxeQJmNmdf58wASYABNgAsYnwALY+EwTzJGmmb/dt0T67W2Svzwm1+wAPw/dU7xhT+ci+M53YtRbDr6FVsPZLSPgUwbJF7kfqvnsyCY0btUGb6JdcfzkCWTPlbDy14dUfMQEmAATYALJIcACODn0kpB2y80zGHLgT5liYf3eIAGsK6hiIxB8ewDCXywT671dkTKPsGqVDPeBCZX1+sQWtG7VEjeEJc69+3ahaMlSCUXl60yACTABJmBEAokK4A0bNkgThFTm5cuX8erVKy1FLPKQRH6DOcRP4E14ML47sBybb56WU83TPu+CjIl4D4qJfCY8GLVBdPA5pMz7Ozwzd48/82RefXNyK3q0aYFjL2Kwbu0aVKteM5k5cnImwASYABPQl4BOAZw7d24pfJ88eaLOL3PmzNIpg/qCOMiaNavmKR//n8Ae4Tbw271LEBIdgRlC8LYrWi1RNlHvTknhq0IsUhfbhRS+prFJ/UaMfL/r3AKbH0bjj5m/o3lL45iuTLSBHIEJMAEmwAQkAZ0CeOvWrYzJAALkNnDk4dVYKZStPs1WCDPrdEO2VGkTzSns+Z9y2tnVuyhSFf4LLu7ZEk1jSISA45swtU9rLLoVjdEjR6LvN/0MyYbTMAEmwASYQDII6BTAycg30aSvX7/G2bNnkTNnThQoUCDe+MHBwXLaW/NmxYoVNU+t7vjoo2tye5G/8NX7y2dt0aPk54m6AlSpooVd52EIfzpHeDES25HyzZIaz6ZoXMCxjVj67VeY+F8UOnfqhLHjxpmiGM6TCTABJsAEEiFgEQFM9ppHjx6NOnXqYPbs2ejcuTOaNm36UVXJEMgff/yhtcZsrQKY3AaOO7Ye8y/sRZlMubGh2RDk8cv0UZviXoiNfCWMa7RHVOBxeOeaKH33xo1jrPOAo+uxaXg7jLgYKxxrfIEFCxcaK2vOhwkwASbABJJIwCICePr06Rg/fjzItnSrVq3QvXt3NGjQAG5u2hagbt26hUaNGqGTGKlZczj77I50G/jw3WuMrNwc/crWl24DE6tzVPAFsd7bWrgQDIZv0a1w8zOdEpT/4bU4MKYDhpwHipYohXXr18PV1SLdnxgWvs8EmAATcAgCZn8DR0dH4/HjxyhevLgEnDFjRulrmBS9cuXKpQWdBDCNeFetWoV8+fKhbNmyWtO5z58/x6RJk2QamtI2t1emSOE2cNI/W/D7v9tROF027G87Rvxm12pDQifhL9ch6NbXws5ybqls5eKp3faE0hly3f/wGpwa1xHfXkyBdFnfK9GZm5Uh9eY0TIAJMAF7JmB2Afzy5UspKMnHsBJ8fX0REBAQrwCmOCSEly1bhjVr1mDKlClKMkRFRUHR0A4KCoKLi4v6nqkPLr96KEe91/2fYEC5BhhaoTFSxOM2MG49VKpYhNwfjbDHv8EtbROkKrAATi6mc+f4+uBqXJrYGUOueiFKzDAc2b0b6dOnj1stPmcCTIAJMAEzEzCLAJ4zZw5o5EuhZs2aiImJ0Wom3fPw8NC6RieLFy9G6tSp4ezsjIYNG6Jx48Zy9Jwt23vt4OzZs0uhTHEVf8B0bMpAbgNpxEsj3xy+6bGr9UiUFmu++oTY6LdivbcTot7shVeO0fDKPkxrRK9PHkmJ8/rAStyY0hUj7/jh4btgHDmyH7S1jAMTYAJMgAlYnoBZBDCNcBUBnDZtWoSEhCAiIgLu7u8NKtLoN0uWLFo0IiMj8eDBA6RJk0Zep/Vhmq6maWdFAGslMMPJrYBn6LtnIc49v4tepWpjZJUWCXouilud6JBrYr23FWKjXootRuvhnrZ+3ChGPX+9fwXuTO2KiU+z4syDx9i+fTtKly5t1DI4MybABJgAEzCcgFkEcNu2bbVqWKFCBelXuGXLlmJUdgR+fn7yjyLdv38fmTJlksL5t99+Q9++feUU9LVr1+Dv74+SJUtq5WWOE3IbuEC4Dfzp2Dqk906FLS2GoUq2gnoXHeH/t/Df203Ycc6E1CWPwNUr/m1XemeYSMRX+5bh3rQemB+cD9suXsXy5culxnkiyfg2E2ACTIAJmJGAWQRw3Pb06dMHQ4cOxaZNm+T0Mm1JUkLv3r0xceJEqSE9cOBAzJ8/X/6RCczhw4ebXXP3kdBs/kaMeo8/voH2Raph3Gdf6XQbqLSDfklwhz6cIP7GCw3nuvApuBTOrr6aUYx+/GrPUtyb0QsbnYph8dGzcs28ffv2Ri+HM2QCTIAJMIHkEXASQkKVvCwMT/327Vu5xptYDoGBgUiVKpXO9VJlDZj2GBtrlLzi8hFp0Sqlmwemfd4ZtRNxG6jZDtpa9O5Gd0T6b4VntiHwzvmjqL+zZhSDj2mEG3rnojq9s6hf9i4/49WeJbg3vRdOpqmCgSsPoX///pgxY4Y6Hh8wASbABJiA9RCwyAhYaT4pWOkTaA3ZlKHailEg5Sr6I03mzz4pjDtvnmPv/UtoVqACJtXogNQe+msqx4TdQaBY740Jf4BUBVfAPX0zo1Y/9NY5vDm1A1FCA9vFJy3c0mSEe+bcuP97b9zMWRvfLdwLmt6fNm2aUcvlzJgAE2ACTMB4BCwqgI3XjOTlVC5zXtwQwuyfp7fk2u6y/w7Bw9UNixv0QaN85ZKUeeSbfULTuaPYWpQKfiUOwjVlsSSl1ydyjt7TkbX9aJxrnQk5ek5CTFiwFL6vCjdEn/l7UblyZbnuS9rjHJgAE2ACTMA6CfAbWvTL1Fqd0KJgJdlDxx9fRzUxAj7WYXyShW/o4+kIvNwErt4l4FfquEmEb9zHKPD8Adyf2QeR5Vqi+8oT0rb2li1b1BrmcePzORNgAkyACVgHAR4B/78fFMMg02t1QftiibsN1Ow+VUyYsGrVGxGv1sIzS194554g1nvNg/b13qVw/bQ9Oiw9Lk157ty5E6aestdsOx8zASbABJiAYQTMIyUMq5tFUrUunDT/uzHhj6Q95+jQq/DJPx8eGc2jcUwuBSl4Fv0MPbdeA2mJkyIa+2a2yGPDhTIBJsAEkkyABbBAlnN2b0QL61zOwjxm3rn98FWhyvi1ZodEYUYGHsO7a23FaNcNqUvsQwqfsommMUaEoKsncX9Wf5nVyitvcOHCFezbtw+FChUyRvacBxNgAkyACZiBAAtgAXlguS9p064ad5H0iTtUCHs6T/jw/U6s85aBb+HV0siGOgMTHoQLz0u3fmoGr1xFEXr7vBC+F7B69XpUqVLFhKVy1kyACTABJmBsAiyABdGBwpmCvkEVG4ng2wMR/mIpPDJ1Qco80+DkrO1GUd+8khovOigAN0c3grOnD9a7lkV9nEeXLl3QpEmTpGbF8ZkAE2ACTMDCBFgLOgkdEBP5DG8v1UH4yxVC8E6HT75ZZhO+sVGRuDWuBaLevsRTlQ9qXJ4PFZyQ+/IanG+fIwmt4KhMgAkwASZgDQR4BKxnL0S9Oy3We9uImepo+BbbCTdf80753pveE8HX/sHdz0dg3sQxaFqtDJo3by5r75zivVMLPZvC0ZgAE2ACTMAKCLAA1qMTwl8sF9uM+on9vUWEJ6M1cHF/7w5Rj6RGifJ4+Vj4H1yF13WHocv3P6NGjbrovXKL2e1iG6UxnAkTYAJMgAlIAiyAdTwINNoNuTscYU9nC3OSrcWU82xh4cpTRwrj3yKfvk9X/4yw6j3RcdwcFCtWDOvWrWPha3zUnCMTYAJMwKwEWAAL3BGvNmpBd/bIARfx9+5ae0SJrUbeuSbAK9sArTjmOHn331HhXKEnoks2RMdZf0vfyOTX18vLyxzFcxlMgAkwASZgQgIsgAXcd9e1jWe4pfkS0SGXoIp5B9+iW4QrwVom7IL4sw57fFMqXalylETv7bcQERGBQ4cOIV26dPEn4KtMgAkwASZgUwRYC1p0V9oKD8Qo9xfZcV55ZoAcKji5pIRfyWMWEb5Rga/ldiOVlx+GXXLGvXv3sWPHDuTKlcumHi6uLBNgAkyACSRMgAWwYOPsll4KXMIUemeAcO9XVwjfQ3DxzJ0wORPdiY2KECPf5ogSe35/fZMHx0+ewoYNG1C6dGkTlcjZMgEmwASYgCUIsACOQ93zkx+QqtAqtUCOc9ukpyphjevu1G4IufkvlnhWx4a/d2LJkiWoXbu2ScvlzJkAE2ACTMD8BFgAq5k7ySPv7MOEbef3x+pbZjp4/OcoBBxZi+2ZG2H28nWYPHky2rVrZ6bSuRgmwASYABMwJwEWwIK2ShUr/wi8ShUj/j7YhTZXZ7zasxTP1k7CmdxN8NOCNRgwYAAGDx5sruK5HCbABJgAEzAzAdaCFsBfH0upxu5/Io1wKdhRuBacq75m6oN3Fw7i/sw+uJG9BgYt2IKWLVti2rRppi6W82cCTIAJMAELEmABLOCnzPu7+P+HUa+LZwGzdUnYw2u49XMrPEpTFH1WnUDlypWxbNkyi02Dm63hXBATYAJMwMEJsAAWD4Bn5u4WeQzIscIN4d3opYsf+ux6gNy5c2Pz5s1wd2fbzhbpEC6UCTABJmBGArwGbEbYmkXFRoTh5timCAh8hwH/RsPdwwM7d+6Er6+vZjQ+ZgJMgAkwATslwCNgC3QsKXndmdIZATcvYvjjnPB/8wzHjh1DlixZLFAbLpIJMAEmwAQsQYAFsAWoP1o0XCh+bcT4wOK4fOsa9u7di0KFClmgJlwkE2ACTIAJWIoAC2Azk3+5cyGeb5yGmZGlsP/0OWnlqkoV8/oWNnOTuTgmwASYABOIhwAL4HigmOpS4Lm9uD+rH5ZFF8XqA2cwd+5cNG7c2FTFcb5MgAkwASZgxQRYCctMnRN6/7LYbvQVdsXkxqy95zFmzBj06tXLTKVzMUyACTABJmBtBHgEbIYeiQx4jptjGuNEsA/G7ruObt264ccffzRDyVwEE2ACTIAJWCsBFsAm7pmY8FDc/LEJLjx7h2FHg1CvXj059WziYjl7JsAEmAATsHICLIBN2EGq2FjcmdQB1678h0FnXVGiREmsXbsWrq6M3YTYOWsmwASYgE0QYElgwm56uGAIbh/aikFX/ZA+ox+2bdsGLy8vE5bIWTMBJsAEmICtEGABbKKeevH3HNxZPxPf3U2PaCcVdu3ahXTp0pmoNM6WCTABJsAEbI0AC2AT9NjbMztxe85AjHiQAY8CgnD48GHkypXLBCVxlkyACTABJmCrBFgAG7nnQu5cwK1f2uDn+2nx772X0r5zqVKljFwKZ8cEmAATYAK2ToAFsBF7MPL1E6nx/PtdN+y89gwrVqzA559/bsQSOCsmwASYABOwFwIsgI3UkzFhwVL4/nn5LVZcCsTUqVPRrl07I+XO2TABJsAEmIC9EWABbIQeVcXE4PbEdtj8zxXMuBCGgQMHYtCgQUbImbNgAkyACTABeyXAAtgIPftg3rfYu2sHxl5QoXXr1vjtt9+MkCtnwQSYABNgAvZMgAVwMnv3+aYZOLpyDoZfcsGn1Spj2bJlcHJySmaunJwJMAEmwATsnQAL4GT08JuTW3Hy9+8w6LIb8uTPi82bN8PNzS0ZOXJSJsAEmAATcBQCLIAN7OmQW+dwdlw7DLrkBq/UaeV2o1SpUhmYGydjAkyACTABRyPAAtiAHo94+RAXRzbCoHMqBKrccGL3bmTJksWAnDgJE2ACTIAJOCoBFsBJ7PmY0He4Nroxhh8PwK1AFfbv34aCBQsmMReOzgSYABNgAo5OgAVwEp4AVUw0bv38Fcbsuorjz6KxceNGVK5cOQk5cFQmwASYABNgAu8JsABOwpNwf1Z/TFq7B1sfxGDevHlo3LhxElJzVCbABJgAE2ACHwiwAP7AQufRs3VTMG/+PCy5HYsxY8agZ8+eOuPzTSbABJgAE2ACugg467rJ994TCDi2ESsmDsfkqyp069YNP/74I6NhAkyACTABJpAsAiyAE8EXfP00Nv3QAaMuqVCvfn059ZxIEr7NBJgAE2ACTCBRAiyAdSCKeHEfuwd/iUGnI1CydBmsXbsWLi4uOlLwLSbABJgAE2AC+hHgNWDBKfjGGUClUhNLkTo9XFL64ejgevjm8BtkzJYD23fshJeXlzoOHzABJsAEmAATSA4BFsCC3tVvq2gxTPt5R/g/uoPef9+CyjM19uzbj7Rp02rF4RMmwASYABNgAskhwFPQgl6RGf8g10EuTwAAQABJREFUc6thkmOhqUcREfwOfZYfwfNoN+zauw85c+ZMDmNOywSYABNgAkzgIwIsgAUS73yl4Z4xh4QTeG4v+s9Zj0uBTti89W+ULFnyI2h8gQkwASbABJhAcgnwFHQcgkNHjMH+5yqsXLkMtWrVinOXT5kAE2ACTIAJGIcAj4D/zzE2MlwerX0YiylTpqBt27bGIcy5MAEmwASYABOIhwAL4P9DOXP+ojzq37cPBg8eHA8qvsQEmAATYAJMwHgEWAALlnv37sWff/4pqU7+bZrx6HJOTIAJMAEmwAQSIODwAvj8+fNo3rw58uXNKxE5OTklgIovMwEmwASYABMwHgGHFsD37t1DfWFeskaBzOjeooGkGnLrLMgCFgcmwASYABNgAqYk4LAC+PXr16hbty7c3d0xIv09+G+ZITlfG1wNT1b9YkrmnDcTYAJMgAkwATjkNqTQ0FB8+eWXCAgIwLFjx5DNOVjbFKVvOn40mAATYAJMgAmYlIDDCeDo6Gi0atUKly5dwv79+1GwYEGTAubMmQATYAJMgAnER8DhBHCvXr2wa9cubNy4EZUqVYqPCV9jAkyACTABJmByAg4lgEeNGoXFixdLn76NGjUyOVwugAkwASbABJhAQgQcRglr7ty5GD9+PMaMGYOePXsmxIOvMwEmwASYABMwCwGHEMCbN2/GN998g+7du+PHH380C1guhAkwASbABJiALgJ2L4CPHz+ONm3ayP2+NArmwASYABNgAkzAGgjYtQC+du0aaK2XXAr+9ddfcHFxsQbmXAcmwASYABNgArBbAfz06VN88cUXSJ8+PbZt2wYvLy/ubibABJgAE2ACVkPALrWgAwMDpfCNiorC4cOHkTZtWqsBzhVhAkyACTABJkAE7E4AR0ZGokmTJnjw4IEUvjlz5uSeZgJMgAkwASZgdQTsTgCPHDkSJ06cwI4dO+Tar9UR5woxASbABJgAExAE7E4Ak2/fVatWoVatWtzBTIAJMAEmwASsloDdCeBvv/0WrVu3RmxsrNVC54oxASbguAScne1W99VxO9XAljupRDAwrVUloy1HderUwePHjw2ql6urq3RNGBISYlB6SyTy9vZGeHg4YmJiLFF8ksv08PAAPW4RERFJTmuJBPxMmJ66Iz4TT548QZYsWUwPl0uwegJ2MwIuVKgQNmzYgLNnzxoE/b///pPekfr162cT+4VJ8JJhEdpqZSsendavXw964ZIrSFsIFy9exMGDBzFw4EBbqC7o43HBggVo0KAB8uXLZxN1XrNmDXx8fKShHFuo8Llz53D06FEMGDDA4OqmTp3a4LSc0M4I0AiYg0olDHWo8ufPrxJa1DaB482bN7K+f//9t03UlyrZvn17lTAJajP1Xb58uWRsKxV+9eqVrO/OnTttpcqqr776SiU+cGymvkuWLFGJj32bqS9X1LoJ8GKEnX1QcXOYABNgAkzANgi4COcEP9pGVU1bS5oGK1GihJzOdXJyMm1hRsidFDny5MmD0qVLI1WqVEbI0fRZZMqUCWXKlLGZ9S/iSmZMCxQoYHo4RiiBTK0qzwQ9z7YQMmfOLJ8J+rWFQM9EqVKlIGbLbKG6XEcrJ2A3SlhWzpmrxwSYABNgAkxAiwBPQWvh4BMmwASYABNgAuYhYDda0Prgou0v//77L2iKuVy5ckiRIkW8yciWNMWjKel06dLJOM+ePcP9+/e14lM+FStW1Lpm7JMbN25Is5o01azUJW4Z58+f19raQ9NjadKkkdHia0vc9MY8f/36tdREJxOguqZub9++jUePHkl+np6e6irQlqpTp07JafXChQvDknsm9WGvrrgZDvSpD9k/p50AxLR48eLyWVeq9u7dO5w+fRpFihSBOaZ89XkWHj58CHKcogSy265ocEdHR+PMmTPw9fUFPQumDrb4fjA1E87ftAQcZg04LCwMXbp0kVs1yEcwbS+pW7eu1guKUNO90aNHg7YKLFq0SBr0oC1OFy5cwNatW3H9+nX5d+DAAezbt0/6GjZVF02bNg2bN28G2beeNWsWqlSpIl9GmuXRS6pTp04gQavULVeuXMiYMWOCbdFMb8xj+hCgLTvEbt68eXLLEbGLGwYNGgTazkHGUqZPn44cOXIga9ascg93r1695McECRFiXLNmzY/6KG5+pjjXh70pyk0oT33q8/z5c3Tt2lXyunLliuwD2vJF+5np2f3555/llh+hySu9g+XNmzeh4pJ9Xd9nYerUqTh27Jj8uKXnl55n+nAIDQ2F0JqXH2AkhOnfQb169ZJdr4QysMX3Q0Jt4es2RMC6lbSNVzvaPiBeYuoMe/bsqTp58qT6XDmgLRGHDh2Spzdv3lS1atVKuaX+FXtwVe3atVOJF4f6mrEP7t27p2ratKlKjAhl1qtXr1b98ssvHxVz69YtlRDAH12nC/q0Jd6EBl7s2LGjSnyoyNRCGKjEy18lRhVauYn91nI7knJRCFmVsF4mT+fPn68SHxrKLVXfvn1VdN/cQV/25qqXvvX5/fffVeKjUV2tUaNGqZRtam3atFFdvXpV3hMjU5Uw1aqi59hUQZ9ngcqmbUjCccpH1RAfDCrxIay+TvGEgFafG/vA1t4Pxm4/52cZAg6zBkxTnjSNqwQ6Fi8k5VT9SxZqaJqOvsBpKjRDhgzqe8oBjYyLFSsmR6TKNWP/3r17V44ElCnYhOorBDCyZcuGXbt2YcuWLbLeSl30aYsSN7m/NHIhK2Q0eqFAI3DywUxWfzQDTSUKQau+RCN3MipC4dKlS+r0dE5T6Xfu3KFDswZ92ZurUvrWh2YPOnTooK4WsaWRndgzjpcvX6o1d2mal7Sk4/aNOmEyD/R9FujfWEBAAMT+ZaxYsULLih1NkdOz/eLFC9C/3bdv38LPzy+ZNUs4ua29HxJuCd+xJQIOI4Bpek5zuw4d+/v7f9RX3bt3hxgZo2HDhli6dCkGDx6sFYdeahs3bkTnzp21rhv7hNacae1LCQnVV4zSQWuDQUFB8leM2EFrbxQSa4uStzF+6QVPpjE1t3BR/ekFqxnog0JZ86U0wtgFxGhJRqEpdprWpxd4cHCw9GpFHMwd9GVvrnrpWx83Nze1XgNN39MHEU3bkuCi7UliZkdWmaaH6RkxFVt9nwX6uKJ1V5piprV/Wr7Yvn27rCNtV6OPNTFyl0tH9IzE9zFsrD6wtfeDsdrN+ViWgN0qYc2ZM0e+yAkvCSXaI6lpM5le8oog0OwCYakJbdu2lT6FSRD36dNHmrhU4tJIs3z58nKEp5kuucfkxYnWwCjQaFff+vbo0QP0R6NNCvRCozrS+llibZEJDPyfmBbFtm3bZGr6OCCTmJp86QYxJtOT8QVKP2zYMPlyVRTZKA+alaD+IgU52m9JQt3cQV/25qpXUutD6700ovztt9+QMmVKWU0aHf/xxx9y9oFGlyTcND/wjNmWuPWlvON7Fkg/YNOmTeqRLa1JL168WJrSpFkm+qik+/QxRs8KzfR8+umnxqyqOq+4dba294O6onxgVwTsdgRMLxflj/5xkQax5miMjuMaRKdRAf2JtVepuEL/2Omrmxw9KIH8DDdp0kQ5NdovCVClviS00qdP/1F949NcpWlEErpK+OSTT+TIRp+2KGkM+SUBqdSXpjNpWpNsEWvWJT7GVBbxJK9VYo1Xyy40KW+NHTsWf/75J4RpUKnMRcpZ5g76sjdXvZJSH5pRWLt2LWbOnCmV25Q60scMCTeyFU2KbzSlayq2+j4LVAeaHlcCPbs05UzKeaSER//O6BmjetauXVsuDSlxjf1r7e8HY7eX87MOAnYrgGkUS9NW9Ef/uEiYChu5cr2RhNOJEyfkCIu6QRFWFI++smlKlwJNS9ELgrZtUCDhQluRihYtKs+N+T+aflXqS9NvtE3q8uXLcqsOfY0LZRo58qYyaV1PKK7I4o8cOSKdMtAJranR1GONGjVkm3W1RSZOxv8ob6W+zZo1kx8sFSpUkNq2lC3Vi6Y+lXU74kZrvcR66NChGDNmDD777DOtGghFM6ntTQKdtsxQHpSnuYMu9uauC5Wnqz6azwJ9HO7fvx80+0Nr8JpBKB2CNKNptoI0/elZV/pGM54xjknrWp9ngZZz6EOM2iBUYOSMCj0TtExB/x5IU54CPf+0LVCZKTFGHePmYe3vh7j15XP7IOAwlrDoHzGNrkio0T9woVWJli1byl6cPHmynPKkNSjabkTTdzTtRS8FikcCjQIphXz//fcgrz7mCDTFSyMZ2tNLW3XGjx8vBR29jH766Scp7EhQ/frrr3IvJSmz0EiBPDpRG3W1xRT1p48CEq4040Dl03YuxWQfrUVOnDhRvvxJ0GquFVP7aJsJjaB/+OEH+SFBoyBa//v8889NUdVE80yIfaIJTRQhofpoPgstWrSQI0hNts2bN5eeeygeTUHT7Ar1D/VNXCFtzKrr8yzQPnua7VDW/enjYNy4cXLWiYQzbb2jdWx6LugjhJaD6LkyRbDF94MpOHCe5iXgMAJYwUrrSrSeS1/pugL9o7fE+mPcOpFhBRp5K2t5ce8r5zT6pReru7u7ckn9a+620NRiclyu0cdPYu1VN86EB/qyN2EVtLI2Rn3MzVafZ4E+tqheJIDjBpo1oX+rif17jZvO0HNbez8Y2k5OZx0EHE4AWwd2rgUTYAJMgAk4OgHTzOc4OlVuPxNgAkyACTCBRAiwAE4EEN9mAkyACTABJmAKAiyATUGV82QCTIAJMAEmkAgBFsCJAOLbTIAJMAEmwARMQcBhvCGZAl5CeQqj+NIa1eHDh0F/tB2ItlOQpR/SVFaCcEwgt2HQnkcKZKCCthStWrUKtBeYNJrJWwx5FqJ0BQsWVJKa9Ze2Oina1WQgg/b0KtuLdFWE9nHSlqNKlSrpimYX95LCJakNJgtjtD2HtqKZau9uQnUiDXzyokSmLMkoBhn6oP3xCXlSIs9dpK1tLq3lhOpN5i0XLlyI7Nmzq11zJhSXrzMBSxHgEbAJyJOlIXL5RoYkSACT9SFyGUgvMTJvqQQSwFOmTFFOpf1pMklJ1rdoSwbt9aW9s5oGLdSRzXRAxh3IRKQSyMoSXdMnkDUjMofoCCEpXJLKgwQw7QEn853mDrQN6Mcff5QGYahsEsBk6jS+QEZryBkH+fi1dKA6078tR3n+LM2byzeMgO7NsIblyakEAeGuUI4cFBhkAap+/frSRvPFixflPley1kV/FMgaEBmnJ+Gm+D0l70BkFpNG1JYKZLiE9hErgRxRcPiYgCm5kJMFGlVae6A9v4oVOUvW9enTp9i9e7cUwGRxjWaVrGFfuSWZcNnWSYBHwGbqFzL9R0byybUcTY1RIHeHZH2LRgy9e/eW1+bOnSutX40YMUJOXdNUGjlboKk9CsuWLZPOCho1agRy0k4WfCjQVCHFo/hk/YgsUpGBAwoJpaGXOqWhOg0fPhx169aVDhwULzk0et+wYYOcPqd4NMIh60RkKUwJlJbaQKNkMklJVsWUuipxdP0mVDfyqEPmE/fs2aNOfvToUZBTAbr3zz//yGlZMr1J1srILCa5Y1QCmVuk2QMamRIr+qVA0+kjR46U9SXXfWS6UTOQZSayQUwfS2T1TNN+OHkR6tKlC4QvXcmN3FYqIS4Xsmn83XffoU6dOtJFIAkEJSTGXYmn/FIfE3/FWQdZtKL8yLYz1ZXaT9akdAX6ACQe5OWL+ppmJzRDQv2gGUfXMX2kES8KxJdGyWTrm2aBNAN9qNAzojCgWSByGkL1opkjMsihGWj5htpOHOk5I+GaWKA+pNkmspxFSze0pMOBCVgjARbAZuyVTJkyIWfOnKCXDgXyQUpTeuSIQfFVTB5iaH2VpvJozY3SkPclepEMGDBAukfMly8fKleujEmTJoHMD1KgFxoJdhpR03otjUbIbJ+uNDS1SWlI2JDAIEFFAoledhRoKpxsPlP9qA40EiOBeOzYMXmfpkSpniSkSJhRvWitkl7A+gRddaOyyWwiCVbKn1xHkqAhO9F0j8yC0hQj3ae6ESdqO605UyA3jfSBQh8yZJWLZhhISNDaOtkEb9y4sVynbNCggewDSkNCiGwTk13g1q1bS7vaiilM4lO9enVZJxIIZO6R1u4VoajJhT5UqD9pNoOY0ocQCRiy0UwhMe4yksb/KD31k+K/l4QvfYiQu0z6GKD86OOJbD3HF6jdNKtCzxp9KNHHGtVdmdLW1Q/x5RffNVrzJdOSFMhXNjlQoLXiuFPANDVMQWFAplOpb4gTfVjQUg2ZgKVAH1ekP0BCmczG0gcrPW+JCWH6MKEZKHpeqR8V7jJT/h8TsCYC4mHnYGQCuXLlUgmbxvHmKkaJqqpVq8p7YiSpEnaQ5bGwfUtvHZVwEqFOJwShSggEeS6m9lRCoKrE17z6vhBCMo3w86oSJvTksRjdqO8nlka8+GSaUaNGqdOINWh5Tbzk5DUxfacSLz31ffGiVImXvzwXgkzVtWtXlXiZqu+LEaJKCDB5Pn/+fJV4EavvaR4kVjeKS/UTbvNU4qWsEqN6lbAHrBKja5mNEJaynsJ/rDpbaruYaZDn4iUs74uRnvr+L7/8ohLmRVXi40TrmrCJrBJCTiVG3CohEOQxRRBLAiohQFRiHVQlRpgqIWRUQhDLtBSf7gn3ifJck4sY+arEh4JKCDp5j/5H18S6vkqYDJXtor7WxV2dUBxQPhSf6kDhyy+/lFwU7vQrPBCpZsyYIe/H/R9dF8pIWvURo0MV9U9i/UCsqGwxoyCzJT5iJBq3CHkuZkNkXMqTgnAgohJCUCU+nuS5mEFQiQ9JFT1byrNHfasE6isq6+DBg/KS8OCkEkswym31NTGy1rqmeSJmbVTi40glPi7kZSG0ZZ5C90IzGh8zAasgwGvA4l+8OQNNgdLINqmBjOmLJ0ZOMdMashJobYvu0ciOgqb3oMTSKHFpBKkEcglHQXPdV7kX95dGUzQqpJEKaXCTL1+aCqXRaGIhsbqRVxwaAa9cuVK2iY5pCpjcICqBRvpUvhJo5E7TrI8ePZKX6H7JkiWV29KdHdVtwoQJ6ms0qqTRLWmp0wibRoqk4UuzAkLQSccWNLojVjStSaN8Kofi0eibXO/FDaT9TSNnGoEpgUbANPUqhJNam91Q7pRn2bJl1Y4JaKaDRpxxp2+Vsokbjeo160NT5hRoelbXc6XJT8lP3196PsjRBk3/f/3113KGgUbq5FaTlLsoKPoOdEwuE8n1IvGjkS895xSXpsyVQDNB9OwkFGj0Kz6AZVrl3wnVgZZ2TOlNKaH68HUmoIsAT0HromPke/SioxcwvciTGmhKmQQBCRV64Sp/5PlIcZdIeWoKBH3TaDqdoHwpUF0TC6QkRi+7bt26qacHSXDqE/StG31gkNClKUv60wz0sqbpcSXQi5aCIoho6llpD12nqWGKr7CjX9qmQmuXdExer2jNkQQxTbOTACHBS3WletCaLwlvcnxB64u5c+eGGK1R1lqBPPmQQNQMiuchzTYYyp3y1UxL5ySYEgr0gRE3vhJX335Q4ifll55XWpognQFqNwn7zp07a2VBW6uUQNP61GfUf/ShSlPvxF2zv2jKmnQc4gvkSGHdunXylphdgPJHOwrWrFmjtZ4fX3q+xgTMTYBHwGYkTi8iGp21b98+yaXSqIzWeWkkReu/FOilRgonCe3JNSRN3IppuraLe4/W82hvMo16FQFAgktTyMRNo5zrUzdSPqK1PBqN0suYXuaUP73YKdColdaCaVRKgepBgqZAgQJSSUte1PgflUlrtbSlh17qFEjznBS2SJjT2iqtMdO+V/qjkSONUuk6jc5IwY0EL/2RgKCRMK1bKu4qlaKonLhbdeic6k2+pPX5uFHyMsYvfSgoegdKfrQ2Sx8S1L6kPldKHnF/lWdFs30kcGmtnkbBpJxHa72agWZPlJEpKSNSf9L6OfUHCc4sWbJALB2ok1D/ac6CqG+IAxKy9JzQCFpzlok+QEiXgdbMBw0apJmEj5mARQnwCNhE+EnQktYuaYGSJjGNsmgaTqx5Sd+mSS2WXvIkWMiPKynbKPszhw0bFq8bN8rfkDRx60WjStKKJqUmReNaiUPTuaQgRUo09NIlLWTylUxKPokFfepGCl1iLU9qXtOUKSmt0TXNQHulSSuaFHQWLVokR1iKcNWMR8ekuERCm/xC02iY2kUCnnzt0vQsTVmSkCchQO0hJSJqszJjQcKE2kcfGCSAKQ/lnmZZ1M9UV5pyplEZPQNkTIWED81gmDvQDAV9uJBSGi0t0CifONI0tj79oG99lRkI0rCmWQAKYg1fCnkSfDSzELf9pPhGMwskJGnESh8v1apVk2lpZwApjtHuAWJOHEl5jjS64wvU//SBqil8KR7NPpCyHfWB5sdBfHnwNSZgVgLigeRgZAKkhCU6Uf0nXggqUigRL0CVeKGrS0uKEhYlEhq3KrE2JpVMxEhPHpMiFAVFCUu8pOS58j9daRRFGDEKUaKrFMUuIXDlNfoVgla2hRRZNJWNKC4pXIlpXalMJjRypSKQWK9VkVKZLiUsylxX3agsUtgRIyd13cR6sLxGimqkhEVchXasSrzUVcLHs0oIT5UYzcn4pIRFylVxAymxCS1qmYaUokgpTghaGY14CCEhFZqILylSaSo2iW0yKvERJBW5xGhWKoZROylocqFzIQxUwoCKLIfyEhraUvGI7unDneIpIT4lLCGclNvyl54vMWrXuqZ5ojxrxIoUssSHnPq2rn4QU9Sy7/VRwqIMxbS9jC8Erjp/sf4qr5FClBIUBmI2SPYd1UvoMUilMCUOKayRwpUY8co4YgeBluKaEo9+SRmO/s0JYa15WX0sPg7lfUWRTX2DD5iABQmwP2Czfu4YpzAaXdDITHO9N7GcDUmjmSetFdL6XHyBtgjRCJKmbw0JhtSNRka0ZYhGQ1Q+re0KIax38aR8RdOcmopJSmKaxqT7NG2pTKsq9+iXRsbEghTDdAXx71qOuGmmIKFpU13pjX2P6kPtovXp+NplSD/EV0ca9VN/KMsSZAlu5syZIJ0BJdAMDvUXTUHTligqm/ojvkBT5Mo0cnz3+RoTsFUCvAZsgz0Xd4pNnyYYkkYz34SEL8VJyoeAZp7KcXLrZkj5cZWklLrQL01hk3JWQoEEqj6BhJyufPTJw5hxqD70UZFQSG4/KPkqH2K0fEDruqSZTkslCQX6CEpI+FIa+njRVe+E8uXrTMDaCfAasLX3ENcvXgI0+tT10o43EV80KwHSSK5Zs6bUJO/evbtW2fQxkNAMhFZEPmECdkyAp6DtuHO5aUzA0gRoqjmxqXpL15HLZwKWIsAC2FLkuVwmwASYABNwaAI8Be3Q3c+NZwJMgAkwAUsRYAFsKfJcLhNgAkyACTg0ARbADt393HgmwASYABOwFAEWwJYiz+UyASbABJiAQxNgAezQ3c+NZwJMgAkwAUsRYAFsKfJcLhNgAkyACTg0ARbADt393HgmwASYABOwFAEWwJYiz+UyASbABJiAQxNgAezQ3c+NZwJMgAkwAUsRYAFsKfJcLhNgAkyACTg0ARbADt393HgmwASYABOwFAEWwJYiz+UyASbABJiAQxOwGwF8/fp1NG7cGOSDlAMTYAJMgAkwAWsnYDcC2N/fH1u3bkVgYKC1M+f6MQEmwASYABOA3Qhg7ksmwASYABNgArZEgAWwLfUW15UJMAEmwATshgALYLvpSm4IE2ACTIAJ2BIBFsC21FtcVybABJgAE7AbAiyA7aYruSFMgAkwASZgSwRYANtSb3FdmQATYAJMwG4IsAC2m67khjABJsAEmIAtEWABbEu9xXVlAkyACTABuyHAAthuupIbwgSYABNgArZEgAWwLfUW15UJMAEmwATshgALYLvpSm4IE2ACTIAJ2BIBFsC21FtcVybABJgAE7AbAq520xJuCBNgAkzARARUKhXO3wvQyj2DrweypfXWusYnTCApBFgAJ4UWx2UCTMAhCURExaLajzu02t7r8wKY2rG81jU+YQJJIcACOCm0OC4TYAIOScA9hTMOjvkC6/+5j7l7bmDf6LrI6OvpkCy40cYjwALYeCw5JybABOyUgJOTE8rlSY9Tt14DTpDHdtpUbpYZCbASlhlhc1FMgAnYNoGg8CjbbgDX3qoIsAC2qu7gyjABJmCtBEIjojFv73XECoUsDkzAGARYABuDIufBBJiA3RMYtOw03oREwllMR3NgAsYgwALYGBQ5DybABOyawIZT97Hi6B00LJPdrtvJjTMvARbA5uXNpTEBJmBjBB68CsY3i06KkS+w7ewjOQWdputKDF/5r421hKtrbQRYC9raeoTrwwSYgNUQiI6JRZc5R+Ht4Yr+9YrAy/3DK7NETj+rqSdXxDYJfHiabLP+XGsmwASYgMkIjNtwEWfuvMaO4XXwaaGMJiuHM3ZMAjwF7Zj9zq1mAkwgEQKHrz7Hb9svY1jjYix8E2HFtw0jwALYMG6cigkwATsm8DooHN3mHkOFvOnxfZPidtxSbpolCbAAtiR9LpsJMAGrJPD1ghMIi4zGkt6fwsWZX5NW2Ul2UCl+suygE7kJTIAJGI/ArN3XsOvCE/zRtRKyp2NvR8YjyznFJcACOC4RPmcCTMBhCfz3MACj1pxD1xr50LR8DoflwA03DwEWwObhzKUwASZg5QTI1GSnWUeRO4MPfm1X1spry9WzBwIsgO2hF7kNTIAJJJsAmZp88DoYS/t+Ck833qGZbKCcQaIEWAAniogjMAEmYO8EFFOTE9uWRdHsbGDD3vvbWtrHAthaeoLrwQSYgEUIkKnJfov/QYPS2dCjVgGL1IELdUwCLIAds9+51UyACQgCiqnJlB4pMKd7ZWbCBMxKgAWwWXFzYUyACVgTAcXU5KKvqyJNSndrqhrXxQEIsAB2gE7mJjIBJvAxgUNXn0lTk8MbF2dTkx/j4StmIMAC2AyQuQgmwASsiwCZmuw+97g0NTm8STHrqhzXxmEIsAB2mK7mhjIBJqAQYFOTCgn+tSQBFsCWpM9lMwEmYHYCiqnJWd3Y1KTZ4XOBWgRYAGvh4BMmwATsmcClBx9MTTYpx6Ym7bmvbaFtLIBtoZe4jkyACSSbAJma7DybTU0mGyRnYDQCLICNhpIzYgJMwJoJsKlJa+4dx6wbC2DH7HduNRNwKALr/7mPFUfvgE1NOlS3W31jWQBbfRdxBZkAE0gOATI12X8Jm5pMDkNOaxoCLIBNw5VzZQJMwAoIkKlJWvdlU5NW0BlchY8IsAD+CAlfYAJMwF4IkKnJf+++BpuatJceta92sAC2r/7k1jABJvB/Amxqkh8FayfAAtjae4jrxwSYQJIJsKnJJCPjBBYgwALYAtC5SCbABExLgExNhkfGYEnvT+HizK8509Lm3A0lwE+moeQ4HRNgAlZJQDE1+Ue3isieztsq68iVYgJEgAUwPwdMgAnYDQE2NWk3XekQDWEB7BDdzI1kAvZPICQiCp1msalJ++9p+2khC2D76UtuCRNwaAKDl53BQ/9gLO37KTzdXB2aBTfeNgiwALaNfuJaMgEmoIMAm5rUAYdvWS0Biwng169fY/fu3bhx44ZecA4ePIigoCC94nIkJsAEHIfA/VdB0tTkl6Wzo0etAo7TcG6pzROwiAA+f/48unTpgps3b2Lo0KHYtGmTTpBHjhzB6NGjERAQoDMe32QCTMCxCJCpyS6zj0lTk7O7V3KsxnNrbZ6ARRZKpk+fjvHjx6NEiRJo1aoVunfvjgYNGsDNze0joDRSXrx4MVKnTv3RPb7ABJiAYxP4acMFaWpy5/d1kCalu2PD4NbbHAGzC+Do6Gg8fvwYxYsXl7AyZswILy8vPHnyBLly5dICqFKpMHHiRHzzzTf49ddfte7RyatXr7BgwQJ5/enTpzKfjyLxBSbABOySAJmanLb9CoY3Lo6qBTPaZRu5UfZNwOwC+OXLl/D29oaTk5OarK+vr5xejiuA169fj+zZs6Ns2bLquJoHISEhOHDggLwUHh6OFClSaN7mYybABOyUAJma7DbnOCrmS4/hTYrZaSu5WfZOwOwC2MXFBTExMVpcaVTs4eGhde3evXvYuXMn5syZo3Vd8yRnzpzYt2+fvHT8+HFUrVpV8zYfMwEmYKcEes0/gYioGCz+mk1N2mkXO0SzzK6ElTZtWtDINSIiQg2YlKuyZMmiPqeD/fv348GDB2jYsCHq1KmD58+fy7Xi06dPa8XjEybABByLAJma3H3xCdjUpGP1uz221uwC2NXVFRUqVMDWrVslT9Jw9vPzk3904f79+6DpZFLMIiG8Z88e+ZcpUyYsXLgQ5cuXt8d+4DYxASagBwE2NakHJI5iMwTMLoCJTJ8+fUDru23btsX8+fPx/fffq4H17t1b773B6kR8wASYgN0TUExN5snog1/bxa8XYvcQuIF2RcDsa8BEL0eOHFizZg3evn370fYiWveNL6xbty6+y3yNCTABByGgmJo8MrY+m5p0kD6392ZaZASsQOW9vQoJ/mUCTEAXgXX/3MOKo3cwsW1ZFMnmpysq32MCNkPAogLYZihxRZkAE7AYATI1OWDJKbCpSYt1ARdsIgIsgE0ElrNlAkwg+QTY1GTyGXIO1kuABbD19g3XjAk4PAEyNXn2rj8W967KpiYd/mmwPwAsgO2vT7lFTMAuCBy88t7U5LDGxdjUpF30KDciLgEWwHGJ8DkTYAIWJ0CmJrvPZVOTFu8IroBJCbAANilezpwJMAFDCLCpSUOocRpbI2CRfcC2BonrywSYgPkIKKYmV/b7DNnTeZuvYB0lRcfG4PtDK7ViVMlWEE3ys2U+LSh8kiQCLICThIsjMwEmYEoCmqYmG5f7xJRFJSnvWOEa9djj6wiMCMWbsGDkTJ0Bmb15P3KSIHLkjwjwFPRHSPgCE2ACliBgzaYm3VxccbLjL+hfpj5IGNPxoAoNLYGJy7QjAjwCtqPO5KYwAVshsO/SU0zYfAkxsSqQZ3BnZyek9XHHQ/9gsKlJW+lFrmdyCfAIOLkEOT0TYAJJJuDt4YpPxPruvZdBeB4YBjipsOP8YzY1mWSSnMCWCbAAtuXe47ozARslUCl/Bizp8ynyZU6FotlT4+qjQKs3NakSU8877p6DSvzHgQkYgwALYGNQ5DyYABMwiICQafjn1iv4eKbA7O6VDMrDHIliYmPRd/cCnHh8wxzFcRkOQoAFsIN0NDeTCVgjgUdizfdNSKRVm5qMiolGj51zse76P2iWv4JYs6ZVaw5MIPkEWAAnnyHnwASYgAEE/j77EE/fhKFwttRWa2oyIjoKnbfNwvbbZzGvXi+UzpTbgJZyEiYQPwEWwPFz4atMgAmYkMDNZ4HoOe8EUnu7oVBWXxOWZHjWoVERaLt1Bg48+A8L6/fGhRf3sPPOebENKRajj/wlhPI5wzPnlExAEGABzI8BE2ACZiUQFBaFNjMOIX0qD+TNlMoqp3SDIsPQevNvOPXkJlY0GoC6uUvi79v/4v67l8jonVoeX3710KzcuDD7I8D7gO2vT7lFTMCqCfRacBwPXoagVZWcoP3AQaFRGL32HLrWyIec6X0sXvfA8FC03DwVN/yf4K8mg1A1e0FZp/Ndp1i8blwB+yLAI2D76k9uDROwagJT/v4PW/99hB6f58deIXyjY1R4ExqB1cfv4mVguMXr7h8WhCYbfsWtgGdY33SIWvhavGJcAbskwCNgu+xWbhQTsD4C+y8/xdj1FzCwfhGM/6o0JrQta1WVfBESiGYbJuFlaCA2NR+KkhlzWlX9uDL2R4AFsP31KbeICVgdgQevgtFl9lFUK5gJY1uVtLr6PQnyR9MNk0Frv1tbDEehdNmsro5cIfsjwALY/vqUW8QErIpAWGQ02vx+CF7urvjzm0/h4mxdK1/3A18K4TsJUTExUvjmS5PZqvhxZeyXgM5/CV26dMHWrVvVrb97967WOd0YMGAAWrdurY7DB0yACTABTQL9lvyD608CsapfdaTz8dC8ZfFjWuv9cu0EWY/trX4AC1+Ld4lDVUCnAD5z5gyePn2qBnLkyBEMGTJEfU4HZB+V/jgwASbABOISmLPnOv46fg/TO1VA6dxp49626PnV14/QaP1EeKdwx/aWPyCHb3qL1ocLdzwCOgWw4+HgFjMBJmAsAiduvMT3q/9Fj1r50fGzvMbK1ij5XHhxH43W/Yo0HimxteX3yOKTxij5ciZMICkEeA04KbQ4LhNgAnoRePYmFO3/OIxSOdPi13bWpe18+uktYWRjGnL5ZsD6ZkOQxjNlom1SxUbA/3Q+MdsXK+LGwsnJFR4ZOyNlrp8STcsRmEBCBHgEnBAZvs4EmIBBBKKiY9Fu5mGxPgWs6v8Z3FxdDMrHFImOPrqGFhunIL9QtKKtRvoIX1kPJxd4Zu6BFClLAdGB7499K5uiipynAxFgAexAnc1NZQLmIDBkxWmcveuP5f2qIbOflzmK1KuM/ff/Qxsx8i2ZMRc2NPsOvh76141GvN45RsEtTR1RlrM8dk/zhV7lciQmkBCBRKegN2zYgNu3b8v0ly9fxqtXr7QUsY4dO4a8ea1rfSehxvJ1JsAETEtgxdHbWHTgFqZ0KIcqBTKatrAk5E6OE7rvmI0q2QpieaP+8HR1S0JqjsoETENApwDOnTu3FL5PnjxRl545c2bs2LFDfU4HWbNm1TrnEybABByPwPl7/hiw9BS+qpwLX9d+bz/ZGihsvHEKvXfNR+1cxbGofh+4u6awhmpxHZgAdApgzT3AzIoJMAEmkBCB10Hh0thG/sy+mNm1YkLRzH591ZWjGLB3CRrlKyv9+bo6J289OjbyldnbwAXaLwGdAth+m80tYwJMwFgEYmJj0XnWUYSER2PXD3Xg6WYdr5VFF/dj2MEVaF2oCn6v3TXZFrgiXm1E2JMZAhvbPTDWs+Po+ej1L+XKlStYu3Ytrl69Kg1zZMuWDcWLF0ePHj2QIUMGR2fI7WcCDk1g1JrzOHztOTYPqWUV7gSpM2ad3YUxR9egc7HqmFyzo9g25GRwH5GhodCHP4u/X+DiVRgxoTcMzosTMgFNAolqQU+dOhVlypTBhAkTcO/ePZDwffjwISZNmoQcOXJIwayZIR8zASbgOAQ2nn6A33dexY8tSqFWsSxW0fCpp7ZK4ft1qTqYUqtT8oRvTDDeXWsjha9X9u/E3t9OVtFGroR9ENA5Aj506JDUeB4xYgRGjhwJD48PdlwDAwMxdOhQtGvXDhUqVJDC2D6QcCuYABPQh8DVx2/x9fwTaFgmOwZ9WUSfJCaPM+7YOsz4dwcGlvsSI6s0T1Z5MeEPEHilBWLC78Kn4HJ4pG+O0Cczk5UnJ2YCmgR0joDnzJmDBg0aYPz48VrClzLw9fXF7NmzkStXLqxatUozTz5mAkzAzgkEhkaizYxDyJbWC/N7VknWKNMYqGia+IdDq6TwHVG5WbKFb+TbI3hzvipUMYFIXWI/3NM1Q9S7U0IYPxDVVWkcG6P2nIejEtApgB8/foxy5colyMbFxQWlS5eWU9MJRuIbTIAJ2BUBEnbd5x7Hi8AwrB5QHT6elt3WEyvMQw7avxTzL+zFuGpf4dvyDZPFO+zZAgT+10Cs9+aHX8ljwvqV8F+sisDbizUQ/nS2yDtWHoc+JoUsDkzAcAI6p6BpmjkxJav06dPjxYsXhteAUzIBJmBTBCZsvoSdFx5LM5MFsvhatO6kgd1vz0KsvX4SU4SyVefiNQyujyo2CsF3BiP8+cL3dp7zToeT8/8Ndji5I7UQxprB2Y0VUDV58HHSCegUwJRdYtqDid1PepU4BRNgAtZKYJcQvL9suoTvGhVFo7KfWLSaUTHR6LlzHrbfOYtZdbqjdeEqBtcnNuq1ULZqi6jAk/DOPRleWftq5UXvuRQ+pbWu8QkTSC6BRAXwli1b8OjRowTLOXnypFwHTjAC32ACTMAuCNx58Q7d5h4T2s6ZMaqZmJa1YIiIjkKX7bNw4MFlzK/3NZrkL29wbaKD/0Pg1ZZivTcIvkW3ws3P8FG0wZXghA5JQKcApi1HN27ckH+66JAWNAcmwATsl0BIRBTaTD+M1F7uWNL7Uzg7G76vNrmUQqMi0H7r7/jn6U0sadAX9fIID0UGhojXm/HuRne4eORA6mI74OKZ28CcOBkTSDoBnQJ4165dSc+RUzABJmB3BPosPIm7L4NwYPQXSJPS3WLtC4oMEx6NpuPCi3tY2WgAauQoalBd3hvXmCD2944XHo4awKfAYji7+hiUFydiAoYS0CmADc2U0zEBJmA/BGbsuIoNpx5gQa8qKJ4jjcUa9jY8BC03TcXNgKdY03SQ9GxkSGVUMSFi1NsDkf6b4ZltCLxzjk1U18WQcjgNE0iMAAvgxAjxfSbgwAQOX32OUWvOoU+dgmhTxXLTs/5hQWi+cTIevnstffmWzZzHoF6JCX8o13tjwm4J4xrLhHGNFgblw4mYgDEIsAA2BkXOgwnYIYHH/iHoNOsIKuZLj1/alLFYC5+HvEWzDZPxOvQdNjcfhuIZchhUl8jAY1LT2Ym2FAnjGilSGr52bFAFOBETiENApyGOOHH5lAkwAQchEBEVg7a/H4arizOW96smfy3R9CdB/mi4dgLehgdja8vhBgvfsGcLhXGN+kLZKg/8SpFxDRa+luhPLlObAI+AtXnwGRNgAoLAwD9P4b+Hb7B7RB1k9PW0CJP7gS/RZP0kxAhLV3+3/B55/DIluR4qVbQwrjEE4c/mC+MaHZEy7+8fjGskOTdOwASMSyDREfDLly+xZMkSbN26FZGRkXj79i06dOiAdOnSSS9J27ZtM26NODcmwAQsSmDRgZtYfuQOpnYsh/J501ukLjcDnuFLMfJ1FgYwtrf8wSDhGxvlL01KhovRr3fuSfDJP9fuhe+UKVMwduzYBM0D//HHH/J+UFCQ3v367t07ddzVq1dj+/bt6nNjHBw4cEDKGGPkZWt56BwB379/HxUrVsSbN2+klmDjxo2RMmVKnDlzBn369MHp06fRqFEjXL58GYULF7a1tnN9mQATiEPg9O1XGLL8DDpUy4OuNfLHuWu806dBAbjw8r5WhhWz5Ecaz5S48uqRVLhK7eGNTc2HInNKP614+pxEh1wWnozIuEbg/41r1NQnmc3HmTx5MmjQFB0djXHjxmm1h2z79+/fH9KWd/fu8PFJfNvVjh07pDOeEydOyLzI8U727Nmlkx6tzJNxQgL48OHD6NKlSzJysc2kOgUwdSbBvn37tmxd1apVpbAlv8B0nTqSnDX89ddf+Omnn2yTANeaCTABSYCcK7SbeRhFP0mN6Z1Ma1zn2OPr6LN7gRb5LS2GwSuFO1punCqF7oZmQ5DBO+m2piNebxXbjLqJ9d7swrjGNmFcwzCNaa3K2dBJ/vz5sW7duo8E8Jo1a5AlSxY8efJE79bQ4CokJETv+BwxaQR0TkFfuXIFDRs2lKNeGvk2b94cmTNnlsKXiiH7qGXLltVpqjJp1eHYTIAJWIJAdEwsOsw8gqjoWKzuXx3uKVxMWo0v85bBpW5TUTJDTnyRu6Q8Ft/zaLphEnL4pgMJ46QKXxoQhDycKDSdv4Jb6mpC0/mwwwlf6rQWLVrg1q1buHTpklYf0kCpdevWWtfoZNmyZWjVqpWczZw2bZocPdN1GpVu2LABNHLu0aOHnAml68R50aJFMn7Hjh1x8OBBuqwONFru1KkTateujQEDBnwkH+7e/R97VwHf1NXF/9S9pVAoUCju7u6+MXzIBN9wt8HQD9twxmCwMWAwNtzddVhxL06hUHdL23zn3JI0LZWknvaeH+HZfVf+L815x5+Da8xzqduffyYbf1SU+t6ctpMkA/by8hK2XhUouXPnhr193EB8ExMT+YakAkhuJQJ6isAPW1xw2dUTG4Y1ohq/lum+CpZ0C1rbw8TQCOZGJnjq9x699y5F2TyFhNqZVdG6kDIqBIGPvkHIq9mUXGMcbMpvz7GZrRwdHdGkSRNs27ZNDeGzZ88EU27fvr36HO8wgxw3bhxKlSqF+vXrC4bIDJyJK+FxOmILCwvUrl0b/FvPtHnzZqH1bNeunfAJ4u2DBw/Etf3796NRo0bgSnossF28eBGVKlUCM10mHx8ftGzZEqx2/vzzz7F7926sWLFCXMuJ/yWpgmZADAxiebSsfJQTvyJyzdkdgX8vPcfq448wt2cNNC1fIMOXy3G+vfYsBSfX+PuL0bAyMdNpDlFhbz4m13hCKSU3wCzflzrdnx0bs6S7ZMkSYb/l9bH026lTJ5iZxWL75MkTsFMWM9RevXoJGJj5MjNm6ZeZOOf5ZxMkS8AqYqbMtmFjY2P07dsXefLkARflYT8gtjH37t0bmzZtEs0HDx4sivX8+OOPYPsxS9isTWUpmfnJkCFDhJ+Rqu+ctk2WAR87dgwqLzgGjQ38rDZQkYuLCwoVKqQ6lFuJgERAjxC488oHw9ddRtc6zhjVPuMdKX0ovveZ7wfK6VwBGzuMENKwLvAp/C/B/2Ev+jE3gV3lE7Jk4EfwWPocPnw4bt++jSpVqggGzB7SmnT9+nWhTmanWm6nImaQfI0ZcEJUo0YNwXz5mrm5uWC87969EypqdtydN29enNtY0j169Kg4d+vWLTRt2lQwX1Wjtm3b4uTJk6rDHLVNkgHb2tri3Llz4qOJiiYD5vNly5bVvKzVPqu3mXkXLVoUZcqUSfQe9sDmdhUqVBD250QbygsSAYmATgj4BIWj1/KzKJ7PGqsG1tPp3tQ2jqbY3vn/7cZT3/fC4WozFVZgdbQuFOr+J8X4joaRVXXYlv8XBia6xwnrMp4+teUw0ebNmwtnLCMjI3z48AEtWrTAlStX1MvgkFK+ZmpqGochjhgxQvzeqhvG27GxsYlzhiVZtgtzf0zxBbL8+fOr7bzcJr7NlyXpnEpJfuNZf58edPPmTUyfPh2tW7fGqlWrhBqjc+fOnwzFtYh37NiBxo0biy0z+tGjR3/STp6QCEgEdEMgOlqJfqvPwy8kHPsmtYClacb9CHJe50GHfsP5Nw9R0MoetQuW1In5xiTXmEjJNX6Daf5vYF3yl2wf36vb041pzWpoFpYMDQ3RvXt3wWw1+ylZsiQUCoVwtGX7LxMzx40bN4I9qZl0MTsWKVJE2Im5ih7/ZquIpd+qVWPqR1evXl2or1XXeJtTpV9ee6yBl48yiJYtWyZsE/ymtXbtWvz5558iyYfm8PxFYDsChzex/YHtGSdOnFB74mm2lfsSAYmAbgjM3nkLJ++644/vG6JE/rgSjW496db6uvszNP17Bu56vsK/ncbAiRyxdKksHK3woeQaHURmK8tiC2BTeo1kvok8AhZq2PmJhZyePXt+0qpZs2ZC+8jCEEe8hIWFYebMmZg0aRJUUi473bq7u4PtxRxbnBQxo//uu++ETZltxKGhofj9999x+fJl8QLA97Kt+fXr11i+fLm4zo5i6SXoJTXXrHItSQk4PSbJD5Hd2itXriy6Z/UEe9lxbFqxYsXUQ/LD5DcxS8sYj0z+cgQFBcVRX4SEhIBtCkzshcfqFEkSAYlA0gjsu/4ai/bfw5TOldGumlPSjdPw6rrbJ/Hj2X9QIW9hrP98GArb5MXiK/u0HiEy+AE5W3WDMtKPkmvshUnuFlrfmxMbctQKaxk5HIlzOMQnVv2ylpETYLCnMv8O8+8yCz6swmZiSZZ/i9lMyI5WydH8+VRjmX6XOUET/x47ODjgl19+Ub8AcGInzqzITH7ixIng338OZXr06FFyXWfL67lId0/RdxlHbKxnzzhObakifmv6/vvvRWpL1TnNbXR0tEifxgb/yZMnqy/xWxnHKauI7cqszlCpO1Tn5VYiIBGIQeDxO380mXkIDcvmx/YxzXRSMaYUw2BFOMae2ICdjy/j24pNML/pV7jn+Rp/3z+Pw89vwpJCkhoXLo9hNdommnIy3PsAAh/3JztvIdhW2JEj43tTir8293HYEAtH7NGcELHt1s7OLqFLCZ4LDw+Hp6enCGNKsAGdZKGLE4PoouZOrC99PZ/hIiO/TcU3wvOD13SP1wSTHySrofk9gYO3NYkduFjVwcR25YSCzDXby32JQE5GIDBUQU5XZ5DPxhzrBjfMkB8+V8rp3PfASrzy98SvrQeiR/kG4hF4k/fzNVJH56Z0k0y8HxgRJvbj/xf8+ieK751FEm9bquG7geJ7M05lHn8u2fWYHW6TIl2YL/fDjl0crpQUxXfWSqptdr2mEwNmnT6rLFjyHEi5RFmaZaO6ZqxwckDxGxanNmPGyg+JiYOz+U0oPrEqg1UV/KAmTJggVCGabTgwvESJEuLU+/fvwZKyJImAROBTBPgF9ru1F+HmHYLTM9vC1iImqcKnLdPuzD7Xaxh57E84WNjgaM9pqOBQWN15q6KV0Mo5XvQD1enVJJFc48n3CPfaSck1xsKy6Gx6acgUtxXNacl9iUCaIaA1A3748CE444mK0bHqd9q0aSLjya5du8DZV7QhtgtwcDeroNkzj8Oc2FbBH6aXL1+KvlginjFjhrA9cDybJImARCDlCCw+cA/7Xd5gI2W6quCke3EDXUaOjI7C7AvbserGUbQvUQ0rSfK1MbWI00W4x1YEPhkQ55xtpaOUQrKROBcV7oaA+18iMuQhJddYT8k1Pk2hGOdmeSAR0EMEtH6dHDBgAOrVqycScXAhBqYNG0gdRJmyuESVLsSVlDi8iDOmsBf0Dz/8oL6dM6M8fvwYzPDZe44TiLMjgOoTP7+p+ka5IxGQCCSIwMm77zBrxy2MbFeeEm4UTbBNWp3krFYdd/yE324ew7QG3fBXh5GfMF8ey9imNqxK/QoDs+IUx1tD7BtZlBLTUPj/B9+bDRGt8KB8zick802rhyP7yXIIaOWExapgdktnpshpyljtywy0WrVqItCbmejx48d1Xpyuhv2kBmBXdvb0Y1uwdMJKCil5LSch8NIzEI2mH0LlIvYi3tdQI7VsWuNwkSocDTy0WnT7e7shaFg4+QQ9vrebw9DUCTZl/xL3hb7fgKCno4gpV5PJNdL6Acn+shwCWqmgWW3Mkm5CZak4fkwXG7AmAroa9jXvlfsSAYlA0giERkSKTFeWZkbYOLwR0pP5rnQ5LNTONR1LYN1nQ3Wu4atURiH4+SSEvlsF03xfwbrUSorvjWsTTnq18qpEQP8Q0IoBs7MTx5ONGTNGnQeapWJOrr169eo4oUH6B4GcsURA/xHYeNYV9177qRdiYWqEtz7B4LCjEz+2RV7r2CT86kZpsBMYHophx/7AoWc38H21VpjVqAeMDAx16lkZHQH/e19A4XcWnFzDwmmkTvfLxhIBfUVAKwbMi2M1M2dW4bJUHLfFWVQ4jRlnWOEKGJIkAhKBzEPg1ksfHL/zDm7EdB2I2RoZGuCNdzBWDaiH6sUTju1M7WwfeL2hEKNf8YHsvuvaD0XH0rV07lIZFYqIoJP0m2JEyTX2UKhRS537kDdIBPQVAa0ZMIcJsVPU+fPnRdYSlorZ1irtrfr66OW8sxMCS/vUwQf/UJQYsQMDmpfC/D13xfbbJiXTZZlbH17C+JMbRTar471moLR9AZ3GUUYrEPp2GaKC7yCXoRXsqp2HkXn6zFWnicnGEoEMREBrBsxz4mwpnG2KM5hwPC+roSVJBCQCWQuBFYcfogZJvQu/1l0iTW4lEVGRmHp2C9bfOY3OpWtjWav+IpNVcvdpXlcEXEGg6zBEUYhRLuP8MLatK5mvJkByP8cgoDUD5pzLrILmOF2uSsR1gTmBBocScTEFVVKNHIOcXKhEIIshoIiMUs/o7xFNYGKkmy1WfXMiO24B3uh38FcqpPAa85r0xndk84XPQVUAAEAASURBVNWFoiMDEPxyuiikYGhZCXZVzyLo+UShftalH9lWIpBdENA6Dphjd7lAMxdS4HAkzvN59epVoZbm6kaSJAISgcxFYPIWFzGBke3KoUDuuIkvUjuzUy/votmWGXAP8sX+bpN1Zr7hXnvg61INYR82UUar/yF3tYswtq6Z2mnJ+yUCeo2AVgyYw49u3LiBhQsXqostc+hRrVq1RKpIrv8oSSIgEcg8BBbuu4s9116LCZQpqH3S/ORmHK2MxsLLe9Fjz1JUciiCM1/NQi2q36stcUYr//vdEfCwNwwtKsC+hgssCo+TUq+2AMp22RoBrRgwlwTkZN0uLjFv2JqIcF5oLiklSSIgEcgcBPYS4+VMVwNbxBRRT6tZ+FLBhJ7EeH+6vAcja7XH9s7jkZfyOmtDSmLcIW9/hc/1alAEXqV0kn/CrtI+GJoVFbdHBt1F8Ks5iAp7g8jg+x/3Y14gtOlftpEIZAcEtLYBcyUiLsDw9ddfo23btiIpx9GjR0Vtx8WLF+P06dMCDy6cULp02v4QZAeg5RokAumBwK2X3hi45gLKO9nBJzBcDLH2xGNcePQBi7+tneIhb354gX4UYhQQEYLNX4xE2+LVtO4rMug2OVkNR2SQC0zzfwOrYvNhYGwf5/6oUFdKurGGzkUhOiJY7HMIkqFZkTjt5IF+IMD1ANhBl4nLxpYrVw41ayZvYuAMhpxlkYW4CxcuoEuXLvqx4DSapVapKHkszlrFXtDJ0bBhw7By5crkmqX5dZmKMs0hlR1mcQTcfUPQmGr75rEyo/q++XDZ1RORUdEi41VuSxMcmKybk5RquRvvnsEPZ/4WoUUbPh+Oorb5VJeS3HL1IpZqQ9/+QvV6i8Oq5Ep1cYUkb5QX9R4BrorHTJRLxAYFBeHSpUuieE9yvID5Bac2rl+/PrgOAKcSzkmktQTs6uoKa2vrZLHhtJWSJAISgfRFICQ8Et2XnkZUtBI7xjaDU56YurqpGTU0MgLjKLZ3G8X49irfEAubfwszI2OtuozwOYZAyuEcHfGObLwTYFFkkkwlqRVy2acRO+pylTwmjpJhbej8+fNFrXf2I1KlHuZStPxhyTcx8vX1BeeaYPNndiatuWWlSpVERaK+ffuiTZs2n9Tmzc4gybVJBLISAlzbd9Cai3j41g9Hp7RJE+b73O8DZbVaiWe+77G0ZV98U7GJVkuOjvAQoUThnttgZFOPslnthpFF8kUYtOpcNkoRAkduueG1V3CK7tW8KZ+tGTrVctY8pfU+V7Tj5E1WVlai5CzXdedETkysrt6+fbvYJtThtm3bRKlbLvAjGfBHhBiwjRs3olevXrCwsBC2YGbGFSpUSAhDeU4iIBFIJwTY4Wrv9dfYMLQRapbIm+pRDj69geGUzzm3mSUO9ZiKKvmKJtsnvwSEffgLwS+olCjtW5VcATPHASJNbbI3ywbpisCIPy/D3S801WNYmxvrxIAHDRokeENoaKiQgA8cOKDz94Gr7M2ePRunTp1SR9ykeiFZuAOtJeBGjRqBP7/88gv27t2LzZs3o0aNGmDJmBkxO2exp7QkiYBEIP0Q+OfCcyzafw9TO1dBt7pFUzVQVHQ05l7aiRXXD6FV0cpY3fY72BETTo4iQ55QycDhUPhfgGneLrAqsQgGJo7J3SavZxACfw1vDPYPSC2xb4EuNHfuXLRs2RJhYWEibJX5wsmTJ7Xu4vnz54KPsLTM6uucQFozYBUY7OHGBRiKFy8uDO5r1qzBxIkTRTzw4MGDhc7f2Fg7u5GqT7mVCEgEkkfgsqsHhv35H7rVKYofOldO/oYkWngE+2PQ4dW45PYEP9TrjLG1OyQrrXDVopA3i+jzMzHc/LCpsAum9m2TGEVeygwE6pXWzmkureeWL18+ODvHqKzLlCkDViUfOnQIderUQVRUbJY2dtJKiFizygybo2y6d++OihUrJtQsW53TKg5YteKnT59i5syZKFWqlPBa47SU//77L9hgfvbsWezZs0dcV7WXW4mARCBtEHjlSTG5y86gchF7/Daofqo6vfLOFc23zMRDr7cU2zsW4+p8kSzzjfC/CN8bdRDyeh7MC35PCTVuSOabqqeQfW9m88S9e/eEzZeZKNcNYF6hYryHDx9OcPGOjo4idGnWrFlCqxoZGZlgu+x0UmsG3Lx5c8F4+a2Gdf1v3rwB6/i7du0qvNVYHc25ohl4SRIBiUDaIRAQGoFuS07BzMQQW8c0FduU9v7bjWP4YvsCFLS2x+mvZqKpc9JSRnSknyic4H+nFXk1m4uqRVbFf6IKRsmrqlM6R3mffiLQsWNH4ZzLdQHYG5rL1LZv315Isly+lvNDsM8QM9qkiL2pzczMsGDBgqSaZYtrWscBjx8/XqgFWJ2QGDFTZjUCv/FkNMk44IxGXI6XEQiwnbbbktO49NgDJ6a1RaUiuVM0bGBEKEYdX499rtfQv3JzzGnSCyaGSVugwjx3IOjZeCijgmDpPB3mhYaRpGyYovHlTRIBPz8/4dUsTZSx34Wk/wJj2+H27dsJqpc3bNiAY8eOYcuWLShcuLDGHXJXIiARSC0Ck/92wYm777B1dNMkme+ux1fwxOedejhzIxOMqvWZOH7s/VaEGLkF+ghHq+5l66nbJbQTFfaanKxGIsL3GExytyUP52UyQ1VCQMlzOiGgigPW6aZs3jhJBnzlyhVwLBYTpwljlQCrBlTEhnW2+7JNWJJEQCKQtgj8cfIJVh9/hLk9a6B9taRfbk9StaJjL24jIDxE1OfNZ2krGPDOR5cx5sR6FLDKjWM9p6FcXqdEJ6lURlEWq5WUzep/pGK2hnXZTTBz6Jpoe3lBIiARSB0CSTLgkiVLYuzYsSJriUKhwMGDB+Mk4GBVAqcemzJlSupmIe+WCEgE4iBw+r47xm26im8bl8So9uXjXEvo4Nc2A8GezeV/H41lrfqhHeVunnx6M/64fRKfl6yBX1oPgLWJeUK3inOKwBsIch1GhRFuUzxvf1gWmwMDo7SrqpTowPKCRCAHI5AkA2ZbLttWmb744guhZubMJpIkAhKB9EPgibs/vv7lLOpTOMnyvon7XCQ2A5/QIHTYsQA337/ArEY9MKxG4qFCbN9liTeUKhcZmpeCXeUTMLZNnZd1YvOS5yUCEoG4CCTJgDWb7tu3T/NQ7ksEJALpgIBPUDi6LT4tCiz8PbIJjI20DlRQz2bmhW2wIBvwnm4TUa9QGfX5+Dvh3ofIyWo05W/2oNzNUyiH83jydDaJ30weSwQkAumEgNYMOJ3Gl91KBCQCHxFQREbjqxVn4R0UhtMz2sHeylRrbKKp/u7qG0dF+4Jk793ddRLykx04IYqKcEfwswkI99pF0m4jyt98kPI3Sz+OhLCS5yQC6YmAZMDpia7sWyKgAwKjNlzBpSce2DOhBUoXSJh5JtSdZ0gA/jkzAPnDH2AOJSJq4FQWlu//B1CKSE0S+Zvfr6P8zT+CvKxgVWo1zB37aDaR+xIBiUAGIiAZcAaCLYeSCCSGwPJDD/DXuadY1qcOmlUokFizT85fcnuM7w7/hu/zvkSbfEqYRr1CVEQYOVPFTfcXGfyQygWSk1XAZZg6fAmr4pxOMnNSFn6yCHlCIpBDEdDdwJRDgZLLlgikFwKHbr7Bj1tdMLR1WQxsUVqrYViaXXb1ADrt/AlONnnQpeURWFbYB+NcSryyGUzOVDHqaGV0OIJfzoLvzTqIDncndfM+2JTdIJmvVijLRhKB9EUgSQn41q1bCAkJSXYGefPmFWnGkm0oG0gEJAJxELj72hf9Vl1Ay0oFMb93jTjXEjvwDg3EkCNrcerVPQyp3gbTG3TD7Is7cPPNVawvAmx/+B8WPf4J21rWpdCi4YgKewlzp5GwLPIjaZ4TD0VKbDx5XiIgEUgfBJJkwFxi8P79+8mOzJUrOEe0JImAREB7BD74h6L70lMoktcSG4c1gqFB8gopLqQw8NBqhCjCsanDSLQrUU0M6GyTFwqHmGQdZXI7wDDoCfzvzoKRVU3krvY3bVNXPUn7VcmWEgGJgLYIJMmA//vvP0RTLtrkSOb2TA4heV0iEBeBsIgo9Fh6Brw9OqUNbMyTDv9hlfMvLocx9+JOVM7njD8/G4rCxHRVNLBqSwonqgTvK1PR3XIPclkqKX/zIpgVHEz5m5Nn7Kp+5FYiIBHIOASSZMDPnj2TKuiMexZypByEwODfL+HOax8cnNwKzg5JJ7fxDQvC0CO/4/jLO/iuaitKrvEljOMVUogMukNVi4YLBI0ooYZN+X9haJp42skcBLVcqkQgyyKQJAOWKugs+9zkxPQYgXm7b2PHlZf4/bsGSK54+rV3TzGAVM5czWjj58PxGaWV1KRohTdlspqNMPc/kMs0RgVt4TRWMl9NkOR+uiOwf/9+uLu7i3G4XoCTkxOaNm0KAy3MKuk+uSw8QJIMWKqgs/CTk1PTSwR2XH6JebvvYHyHiujVsHiSa1jlckQ4V1XMWxj7u0+Gs62Duj0XTmCmG/xqFpTRClgWnUnhRb3gc007L2p1R3JHIpAGCCxcuFDUhefCPEFBQaJ6HhfrOXfuXKaUp02DJWVIF0kah6ytrWFra6v+mJiY4PDhw1i+fDmCg4Ph6uoKbsM1gCVJBCQCSSNw/ZkXvv/9IjrWLIIZ3aom2tgvLBhf71uO6ee3ok/FJjjUY2oc5hvhdxa+N8jD+dkYKhfYBvY1b1MayQmURtI40T7lBYlAeiMwYMAArF69Gps2bcLNmzdRuXJlDBs2TD0s+zGwWZPrxscnZtZPnjwBbzUpIiICjx49AhcDUhEz+PDwcAQEBIj+VOdfvHiBsLAw1SG8vb3BYz59+lS8FKgvfNxJqG++xP08fvwYkZGRcW7hvu/duyfGjXMhFQdJSsCa/T58+BDt2rXD+/fvhWNWhw4dMG3aNPj7+2PXrl1wdHTUbC73JQISAQ0E3LyD8eWy0yhXyA6/f9+AHKNyaVyN3b3x/jn6H1wFv/Bg4Wj1Rala6otcpzf4xRSRQtLIqhrsqpyCsU1d9XW5IxFgBDg5y9sgn1SDkcfMCs2LVkpRP4aGhhgxYgRatGgh+AXzibZt2wpG6ufnJ5jz7t27xd8Bl7rt3LkzqlatKpjz0qVLBa+ZMGGCKHfr4OCAt2/fimp8FStWFHyHmSqrvL28vFC3bl3BLD98+CCY59atW9GgQQNUqVIF5cuXF0yd+RdX7Rs+PMZPIrG+e/ToIZg6FyJ6+fKlqHXv7OyMU6dOoXfv3uDxXVxcsHjxYvTv3z9F2GjepDUD5rebevXqYc2aNahWLSb0YcOGDejatSv++ecfjBkzRrNfuS8RkAh8RCA4XIFuS05TmFEubB/TDBamCf/Zrbl5DDPOb0O5PIWwq+sEFLfLL3pQRoUixG0JfRZTHK8VrEqupJKBfeN4N/s/6IEI7/2ifcCjr5HrqT3y1nOTzyAHIsCZ0d4H+6V65Vy+8sXQVSnup3r16kJSffXqlWBkzDd+++03wRC5uh6bOOvXrw8OY/3rr78E07127Rp++eUXcd/27dvx4MEDoWFdtmyZ0Lz+/vvvYj6BgYHgtsyA8+fPL/jSoEGDwMz733//FQyYGzZs2BDTp0+Hh4cHihQpIhg935dQ3z///LNg8tyWtbp//PEH3r17B2bA8+bNw99//y1eKJjRN27cGP369Uv0RVpb0BL+JYh3NyfjuHr1KjZu3AgbGxv1VV74qFGjsHbtWsmA1ajIHYlALALR0UqRaOPZhwAc/7ENCuT+1FwTEB6C4cfW4dCzG+hbqSnmNukNU6MYdXK45y4EvZgssliZU0iRhfOPVKf30zzRZo79YGLbJHZgmXAjFosctreiVX+4BXinetV5LWN/61PSWWhoqFABcwlbZnhMffv2FVtmcjt27EDhwoXBzJQlZaZatWoJZjxp0iR89tlnavPml19+KaTPVatiXgiYsbIWiaVjNoO2adNG3F+wYEFhdxYH9B9L1kz58uUTguP169cF40+sb5bSucY9X+d7Wej09PQES+n8ksDqdSZfX19cvnxZXBcnUvifVgzYyMhIeLOx3Tc+caIO6ekWHxV5LBGIQWDaths4dNMNf49ogqpF83wCy60PLzGAVM6c3Wptu8HoUiam/m9k8D2y8Y6Dwv88jO2aixSSRhZlP7lfdcLUPvGav6o2cpszEEip2jit0bl06RIKFCggmCT3zUyyUaNG6mFy584tmCerq9lWqyKWegsVKoS7d++qTgnbLtt9uS1T/Lr07HmdHLHtmCVb9tC+c+eOujnbdlV980sBq6tZPc7CJWeDHDJkiHAwGzhwIFQ5LwYPHoySJUuq+0jpTpJOWKpO2fmqdevWQspl8Z2JpeItW7YIozu/NUiSCEgE4iLw19mn4CILM7tXRcdalCMyHv1x+yTabZ0DSxNTnOg9QzDfaIUPFU0YK5ys2OZrU+4f2FU6QOUCE2e+8bqVhxKBTEWAJV+WDtksOXHiRDEXtq1euXIFNWrUEDZb9ppmXmJnZyfU0BzGxMS2VjZ3duvWDUeOHBHSJ59n6bN27do6C3tsD2Zi5ylWhdesWVOYTRPqmyVdthmzqprtxUOHDhXOWCxl16lTR9zP9ma+zurn+E5aYiBd/6M3D62IjOBKAoBfU5Qk+ivpTUDs9+zZU0kT0aqP9GxEKgIxH/K+S89hZN8SAa0QOPfgvdK27yblgN/Of9I+ICxE2e/Ar8o8S/sqRx37UxmqiFBGR0cqQ96tVXpeKqT0uJBHGfRqvjI6KuyTe+UJiUBWRIAkW8EXSBuqNDU1VZYpU0a5ZMkS9VTJ8UpJErCSVMRK8o5W9urVS803+LebJF4lOU0pidEpiXmL+8h2qySTp+iLeY+bm5s4P3r0aOX8+fPVfXMbssuKY7L/Kjt16iT2uU+KRVaWLVtWSVKv8uDBg+p7Eut77ty5YjxShSuJGSuJcYt7Ll68qCTGq6xUqZKyQoUKSvKFUveVmp1cfLO2TJubclwXu2izVEwgp1oHru3YybUjgITBnd3f2ZtOkkQgsxB4/iEQTWcdEjV9OdOVqXGM2oznc8fjlVA5fyAnmcUt+6J72XqI8L8g1M1RwXcplrcbLIvNk4k0MuvhyXHTFQEOHWLekZDKmMOG2PtYkzhUiLWtLCnrSqxqPnv2rOiTw2njRx4k1jfzOR8fn0/mwuOzlMwScVqRVjZgHoxdvlksb9KkCb777jsRB1y8eHFMnjxZuJuznViSRCCnI+AXHEEez6dgbWaCf0Y1jcN81985jalntwjv5hO9Z6KEZRQCHn2LcM8dMLSsDNvKx8mRqkFOh1CuPxsjoOnEG3+Z8ZkvX2dmzZ/UUGLMO7G+mVEnNBeeQ1oyX+5PKxswN2R9PsdFsds4k7m5Odg1fMWKFdi3b584J/+TCORkBCKjovHtynNw9w3F9rHN4GAT4xjCaSQHUTrJCaf+QtcydXGsx0QUCtoIn+tVEOF7msKKllPFokuS+ebkL49ce5ojwCGzWT0/hVZiK4vqR48eFaUJ2c2biT2fSY8vXMjZGatLly5pDqDsUCKgTwiM33QNZx68x85xzVDeKUZldt/zDSXW+BXvgnyxsvUAdM7njaBbtSmsyA1mBb6jikXTYGCcW5+WKecqEdALBDiUKKuTVgyYRXJOBcbZSFQMWLUw1umzvlySRCAnI7D62CP8ceoJfv66JlpVLiSg2HTvLCaf3kxpJPPhdOdeyOszDwEPz8CY4nVtK+yEkWWFnAyZXLtEIMcjoBUD5tin5s2bC3svZ7/i4GkmDmrmzCMcLyVJIpBTETh+5y0m/X0dA5uXxtDW5RCsCMe4Exuw4/FlfFuuKqYVf4XI5x0QZVoQNmU3k6NV2muLIgN9SKoOjX0EBoYwsZfpYWMBSd0eO+aEvXkYpxNDK3uJcRxE5IGuCGjFgLlTZryc/5ljoNiQzmppDmDm/Jhjx47VdVzZXiKQLRB4+NaP7L7n0aR8fiz6phYeerkJlbNbgBd2NHJExYhFiPQIhkWRyeAygbnSKUPV82Xfwe+/WF8MI2t7VN/6PltgnBUWoaSXqruD40ZX5OswBEWHLM8K05Nz0FMEtGbA9vb2OH/+vAhB4uwgbAOmmCgRuKyna5fTzkAEKNA1zmi5snid0Gj6wdWkXCRR5jKM++fiFRiGbotPw9HOHJuGN8G2Rxcx8dQmtHIIx86692Ec8gAmebtQWNF8GJrFaI00+0zL/YJfTkLuOh3wYtkgOHYdC5vKTdKy+xzfVy4jE5Sdfww+F3bB4/BalJ17hJ5tjKkhx4MjAUgxAnF/UZLphpluuXLlxCeZpvKyRECNgPfZbXj209fqY94pM/cwbKvF5H+NcyELHCipJNr1jtZxZuLQbiCKjYhNTB8RGYVey88gIDQCR35sgakX/sLpp8exvsI7VDV2oZR5FWFV6ShM7GJT78XpMI0PrMrUgmm+mGxbvG9Xq10aj5Czu+MXRpsqTRHy4g4BkUvs52xE5OrTAgGdGHBaDJgV+3gykxN2x+YjsanWEo4dY8pWZcX56tucLEvXgPOwX/B+93KSBC3BzMy8cJmsuwz6sS1KzDbgzln4nN0q9s2LlIsz32HrLuMa1fddNbQKhpxciCam53Cy8iMYG1mQZ/MS8nAeRIH/sQk44twsDyQCEgGJACEgGTCBoIxSIILCRUJfP4QNS2XRUfLLkYYImBUoAbPPSsDn3HYY2eRB/s++T8Pe06crq0ohUBoqEBmSiyTZEPJYjlAPtGj/Xfxzker2drbCoYeTsNLpJhyNA2FeYAAx3xkUVmSvbit3JAISAYlAYghIBkzIlPnfAbLr/IGXvwxF6Vn7qNxbTCm4xECT57M7AkoEv/wRucyiYN/CUOwb5esDk9zNsPfaa8zc4YL2Te+jmckONCz2Abms68Ou5FIYWVXK7sCk2fr8b52C+7af1VVwONSxyKCfYVGscpqNITuSCGR1BCQDzupPSM4vwxGgEr4od70reju4YlqRG2K/T6Wa+MbEG6M278H/Pt+CHvnvItIgD6zLbIKZQ9cMnyMPGB0RhigqYxgVEojosCCEf3gt5hHh6QZ2IjMwNs2UeWkzKDu0GZA5IvDeBRiYmsOyVA3K7iNV9tpgJ9tkHwSSZMBeXl5alVzixNqJ5dvMPlDJleQUBHLRQqtFfAFrPyplRgyY94287bHu8Wgc6XgA1oaRCMv7PYqVmUOe0RZawxIVFoJoZpjiE0T7QXEYaBQfEzONImYazVs+Vu/zcbDG/YHEgeN6lqsm8vr3CXj9x0SYOBSBWaGSMCtIn0KlxNaU9k0di2W6lsemUmPw58H4JuRNXBglJ29WTV9uJQI5BoEkGXDTpk1F+snk0OjevTu2bduWXLM415m5u7i4oGjRoqKqUpyLGgfattO4JdvvvtnwI/xvnIixVZPDkKGFDcotOJ7t151RC+T6YIpgE4QZxkiQId5BCDXYiel1duFmUAmUNRkAq1dWeP9orQZD/MhQVQxUSKYfGSwxUpZQSd+a9BJIAjQ0t6KPNQzENnbf2L6AuBZz3pqeOX2ojYEZtRH71iT1huHx1PYo2HMKjCkJR9jbJ/R5igBS93oeWUe+DpEx49N3xjRf0RjmLBhzKZh+ZNSm+ZzppUJKouwJr/B9jwivt/Rx+7h9Q1ieTvoZ5uCr0fRCyCGqXIEof/78aNeuHXLnjk2z6u/vD677+/z5c1HMvn379mrB7f379zh9+rRIb3z//n1wdTsmQ/oucmEELgKk2ReVFhSZGePD3bJlS3CRIH2hJBnwzp07RbINXgwXNubjn376CVS3EQwY54f+/fffdc6ExSUDqR4jWrdujVWrVqFv377o3Jk9keOStu3i3pX9j0zyFIJpwRLwJacmqwoNhHSTHVbN2YaUkRFCtaok9SqrUVnNykkQeF9sVcfi+sdrEbHXRLt412LPcT8a94h2mmPEXFNGKvAzAXqxeU0B625yGnsWZoOdxwug+vXHeI+YIuO5yFdAkwGySpWZoZFVbhg4FI7HTGMYpmCaxGCZyRpaxGWgBiYxxRtS+iwVvh/ErRbFK8G+YVy1ODPf8A8vBUMOe/cUYe9cEU7M2ffKQXJAJNX1R2maVcOmjsXVzNm0IEvO5ERHjNokrxOyevy2NtgxFhE+7jFMlZwvVUxWoclsfd6pMRF90suRCb0EUQIEbYbIcW2Y+XJSpkePHuHzzz8XW86QyHUCWrVqJcr4NWzYEFSbF9WqVcPmzZsFD2Cmy5kVXV1dRbU9ri9w6tQpkWGR6geLFMhv3rxBv379sGnTJtE3g0u1hoX/AJfE1aSaNWP+ZjXPZeX9JBmwanH8w8hvFgxA27ZtxXqKFSsmagFH0Zsip6Ns0ED7MmpcRWnOnDmCkX/55ZcYOHAgOHF2/LJT2rZLS4B9/9sL0/zFSEIoDCNbh09qSKblWCntKz9l4MnTtIdgwOxRnKdpz5R2lS738feFpYfwD68QQfVvw9+/FD/yIS/u0nhK3B1aPUEmy8w3xUQ/kMzA2O6ZS7U1jjk2MKFzdJ6vC+mSnysfi+smyEU2SANKtKC6z8BEgVwWZ3HZ1V9MZ8GL6nA26oNB/evBcBgxzY8M1MA4dWXSUrzWFNzIjFWookkFHZ+iFRH0jJ4TUybGTEw5nJgzb33O7xTSn6o9Y8Ye7SppWfTnVFr0a5InpkiLqm1mbaPp5Unh/U7MO1Zy/SjBfmS2/N3U1EYwNsY0f37BMCENgFX5+jH7lGjDhF6kOOGGcW5H8fLxfs8KUu9PyqzlZdlxWaByc3MTWk2WWplYAubStQ8fPhQV8ziL4t69e9Vr4MyKzIh/+OEH9TnVDtd0X716teoQ27dvR//+/UVfqlKBffr0AX/0mZJkwKqFhYaGgtUHpUqVUp1Sb1nVoFIXqE8msRMZGSkeVOXKMd6OfL+FhYVQJzBTV5G27VTt02r7bH5vdVec/Ub8ARIzNiV7mokD/YGKP9IidEx/mB+lHPUNOWSH1XMR3qSa83gtpKpw2sbdf0WSrEKNBkuGbI+ktxmKA7aGVbm6cRglM0IVg8xFTE0bRqpioOr70kAyiVZ4I8RtGULerkJEdCSCo2JSD1pZLcaornXU68luO/wiYV64rPjEXxtrIGIkZmLMxJRjmLQrvE//AwVJkSoyMLUgrYzK3qzaEnMm1baxXT5Vs1RtWZMRI63GqIVZYg33ipFgFR/VxCotgGog8TfMjJQ+/MJgTRnCTMnmLJgq/y0L5po/S75oq9ag6zb46U0o/GK0Ibreq9nekDQ51mW1+96zSnjhwoVCZazqo1OnTmhKZkz2EXJ2dsbt27dx+PBhtGjRQghbe/bsidNedV9CWzZzjh49GhcuXEDHjh0TaqKX57RiwMwg69WrhwkTJmD9+vWwtbUFM+UzZ85gwYIFolawtqv38PCApaVlnC8898cVlTQZsDbtnj59Cn7ITCx1sY2gdu3aIk2mtvNRtetQUIkJZYGmpwAq68o90r8w2rpS308+vjEnZsMjtx1iLvSPKGY/dsuXxAW+mGZkbaTEwcbAt/QGePJD3zTrlztiLAWJLeMQ8yEF8UccYi7H/V+Fwce1ijWrzoVS08dYXi0a/gofTN/6Z9xbM/koZr0U+62Mif+OVuZCFD3HidNjXiJ+/qoJfv4qkyepxfC5jZXYS4m3evXqjbOeaf+diz8FJeFEoH38frCN+yYd3Yg5jt+Y8BR/B/y90PhurKqhhEf4f5g5Y3vMHZrfOeot5pDG4HESJO6P/2n2Sw1VY4C0Gble0Qn+pJ66OykxpKRSMJWU9vbixQsUKEDq7HSiJ7M6Cy1Aars3IN+Smju8ku0mPJzyZN+9K9TL8RurnHNZgzp37lyMHDkS7969A6ujBwwYANaAakusXn78+LG6+ZQpU/Dzz2wsiiVm8kZGWrG12JsycU/rmf7555+C2eXLlw+FChWCu7u7sA8PGjRIgKrtGlg9wWprTWJpl9+SNEmbdqyKUBWC4C/1okWLMHz4cDE/zb602Xd8exV4tBtz/jcHyiTCIVjFFUW1XSOD/BAV7BezVe/7I5LOgRJ7xBJJffRFNrSyI9ugHQwt6cP7mltzy9jmWu4ZKUKAc/9DD/oCN3eMmyQ+uS401xAZ6PtxPbwm2ufjkADqIvYHj6Ubfhtm26ahdcyW941on88bkgpXGyrmshaRxhaY2ytuWkpt7k2PNsrocCgCLpG0cI5+6CPwKrIYDnhYIo+FE14/s4KxmbcYln84sjrl8bgHq4C3xGfOYETLyuhrUxjvijTItGlHUWWmyABvRPp70tYLCn/aD6B92kZH0Hf3IzmaG8HGNBcGF9f8myH+aWgs/laMLG1pq/rw34/Nx78jOkealYymgq8vwPDpYcFMUjo2F7NJT3L+fgnC3J+neghtzQqmpqaiQI+npyecnJwSHZd5BX8ePHgg/IeYGb969UoIdonepHEhJCQEVlZW6jN8f3zfIX1ivrwQrRlwiRIlcPXqVfG5c+eOALxWrVo6F2NgphkcHAx+a+IHx8TSb/w6w9q0Y4mX7QJMrAZnu/K3334Lth/oSiIRBzHg0WPGpDpEQ+HvJWyeHI8ZznYn1YdVtp7PofAgG5RGCAnbHtUq7o+qbrZBs9o2Ru1NDj1mFnGWxOXnbhADZtt5fBswh6+Ek+01gmywrB6O3adjOhfp5xGnLyNSEZqWJLV6/jowye9M9m/+0Ngf99lxKC3o4aTDIhNW+3Hj0qK7FPehjApFqPvvCHmzjFTlfvA0b4vBt63xJtwMU6p2xpLN3ujb5yjK2pJUR+RUwxP58lZFs4pZy9auCcDTn76Bn+s1KOm75OjnCielL3qN26XZJMvs83eXbczspe22cTpY0moycXiMeUeoi53Ey12WmbDGRN7vMaaXsyMYl8nfYY0pfbJr37DLJ+fS+0T16tVx5coV4WClGsvb21uUsWX19G+//Sa0qPx7Vb58efFhHyO2HbNmNTlinsEe1jNmzFA3dXR0ROnSpdXH+rijNQNWLY4lX19fX3Tt2lWoEtj7jYs0aEv8hlKnTh1hlGe9/rlz54TqWOVi/vLlSzCwLBEn1U7b8TKjnbFtXiq6nheWJasnOLzwwvzocSnspyoGTdtgVxf4/reHpFKSpDWIUzhyvKSJYMz0A2WTV1z1czmGoCfXP9pgY5ye+AdOTaSK4xAWZqjsQGNTpRkx2qLUDzPcGGabWu9b9VhZfIcl3rD3fyLk9ULyhvZArjxdsfRNGax1cUUz5wpYUbsnei++AjuSymZWoBjgj9TccAUO3WsIZGEGXHLSJtV0s/yWSyVala0tPh6Hfxff63yUH1yS/iLAjLRLly6CAfPvNjNf1k5yxTyWivk3ffLkyYJhsi+RQqEQDlnsEZ0UsbaUnbumTp0q7mXVdXYirRkwe7KxVxuHHzHTZQ+2adOmCeesXbt2CYC1BWbo0KGYOHEidu/eLZg3PzwVDRkyRNiVOdQpqXaq9vq4FaEezPzoY01hRAkRS7EsOQsJmp2c2MnEg49fw//6MSHZ8n3ep/4WzmDMYM2LVoBd7XaiX/bm5P6ZaeuTt25CWKT2nDJagbAPm4jxzif151tywumCm4bdMfTMaQQr3mBxiz7oXLI+Ws85hrCIKJz4sRW2jyKHAA0qWbOcxpHczWkIcDlNv6sHEfLyvrBx+17eLxKaWBStmNOgSHC9jRs3xvLly8VvNvvvsFmR43xVNtphw4aJUKT69euL33yuJc/hSWzaTIiYN7AZkv0GHBwcwCFJ+/bti9OUQ5NUGlDVhUmTJmHevHmqwyy/zUUOKLHGviSmy8CxJ9uaNWvEW86OHTuE2pglYf6MIdWtruTn56cOxE7qXm3asQqa3444dlhXFTRLkL4X98B9+88ou+gsTCmJAWcLysqkIPvazZ4FUHz8BuRtHuu5nZXn/HBSS6GCLjU1VrpMz/kqyakq3ONfBL+eS4kwXlIc5+dQFpyA6dfvYsv982jkVA4rWvdHPvPc6LTwJG6+9MbRKW1Qpah9TKITjcmxt2z8ikgal+VuChHQl0xY7A1+vVNc220+CgcsOmR5CleefW8LCAgQjraqcKT4K2VbMTvexg87jd8uJxxrJQGz8Zvtvxs3bhS2XxUwHELEwdZr165NEQNWecip+ktsq227xO5P7vyD0fXVTR5Rary8rfqi+Ji16nNZcUflWa0PiRFCnt+G16ktwjHEgGI0OY6SVY6c3CE9iN8pw712IuTV/yh9oyvFcLaCTdlNuOhjipE718OPslItaPoVBlRpIbxs+6w6TzG/ntg1vrlgvjwn2+ot02Nqsk89RYDNNFU2Posze44pl/QpAsk5mbFEKykGAa0YMNtt2c7LhvD4xGnDdLEBx78/KxyXX/YfTSNWEcD2W0lph0A4OaP5XNhJEEcjOjxE7Oeu1zFdGHC41z4EM+MNuU92+MawLr0G4WZV8cP5rdhw9wzqFiyNvd0modjH2NTxm65i99VXWD+0IZpVSL/QkLRDU/aUWQhw7L8kiUBaIqAVA2ZVAaeNZDWzSqfPUjGnGeNsJWxc12eyooLxktIPgdx1PgN/0pPCfY6SxDubQqlukpq7LmwrHYaJXRNcePMII3dMg0ewP2Y36oHB1VvDIFeM0+DCfXex5sRj/PRVTXSvm7VNDumJnexbIiARyBwEtGLAPDVWM3PMFSe6YPVns2bNhCdbz549dYoDzpxlylGzKwIRfmeoXu9MRAZepfjQGrCtsIdsva0RQlmTZpz5G7/fOoEalNt4a6exKMW5fD/SpnNPMWvHLYz9vAKGtZEOVipcMmrrRZm0ni+mEELSigBXcJU0JGXnH6MKSZRJRJJEIIcgoDUD5jjdy5cv4/z58yLRNkvF7Oykq8NTDsFVLjOdEVD4XyJV80xK8ECJESwrwab8Vpjm6SBGvUK5jIcf/QNvg3zwY4NuGFGjHQw1QuWO3HLD8D8vo1eD4pjVPekwiHReRo7t3rJkNRQZ+FOc9ZsVKB7nWB5IBLI7Alp7QbPLOLuGa2YiYXA2bNiAY8eOCXV0ZoKVGi/ozJx3SsZ+9dsYCok4LMKUjDjm2C4/Kq6kTF45gBSB10ji/R9lrzpBhRXKwML5RxFWxFqZMMpSNv/SLqy6cRSVKSzr1zaDUJYqR2nS1aee+IxKNzYsmx/bxzSDkaH2Meya/ch9iYBEQCKQWgSSlIA5s8nx48fFGJwEm/M+a6aM5CBpTqidUJGG1E5M3p84AhYl4mb64kxa2Z0ig26TxDuHysgdpBKAxcm56g9KLtKTzCExDPQGVfMZduwPvKAsXxPrdsSY2p/DKF5K0cfv/NFtySmUd7LD5hGNJfPN7l8auT6JQBZHIEkGXLJkSZHNhNNGcuYSTimmGdtlbGyMokWLijqOWXyd2Wp6Dq36APzJARQZ/JASaMylsKJdMDAtDKtSv8Is/zfEeGO+uhFU2/Xny3ux4vpBIe0e7zkdlUj6jU/uviHouPAE7K1MsXNcc1iaGsdvIo8lAhIBiUCGIpAkA+Z8zKpSg1988YVQM8dXQWfobOVgeolAVOgzRPgeizN3E7LXGpomnrid7+EEGuEeW6k8oSOsSiyBmWN/qslqou7nDuW7Hka23idUPH1Urc8woU5HmFBt1/jkHxIhEm0oIpWUaKMl8lpnf41BfAzksURAIpD1EPj01yqROXIaMC5ByHk5Oc0YE6uguU6wl5eXCFNK5FZ5OocjoKDQoKBncQsw2JL9NiEGHBX2miTeeZQ68m+qEWwPy2LzYV7wO2K8sUwzMjoKS67up88BFCf79+EeU1GdPJ0TonBFFL5cehqvvYJx7MfWcHZIm8ISCY0lz0kEJAISAV0Q0JoBb968GYMHD04wGQeXmOI4YUkSgYQQMHPoBv743WmDXEZ5YFt+yyfNosLfUnWin6lYwgYqRWcFy6IziPEOof24JeceUk7soUd/xz3Kkz20ehtMqd8FpkYJq5Ojo5Xot/o8rj3zwu7xLVCpiP0n48oTEgGJgEQgsxDQ2gWUS0Z169YNJ06cgLW1tQhJWrFihSgsPX/+/MyavxxXzxGIjvAg6XgifK5VFHmbLQpPhH2th7AoPD4O842iZPjLSOJtvmUmFVAIx6Evp2BW4x6JMl+GZexfV7Hf5Q3+GNwQTco76jlScvoSAYlAdkNAKwmY1cxcBYnr7XJpKc7lyfmZR4wYIer6cvWJxYsXZzds5HrSEYFohTdC3JYi9N1qGiUXzAuNgIUT1WI2zv3JqE983MnW+ztufniBQVVbYnrD7jA3irUFf3IDnViw5w7+OPUEi76phS61nRNqIs9JBCQCEoFMRUArBmxhYQH2eFaFIJUtW1Y4Z3FBZa79+MMPP2TqIuTgeoSAUiFyNYe+/YUKIUTCvMAgYrzjydHq0wTt0ZQl6bcbxzD30k7kt7QTOZwbOMUtE5jQyjecccWcXbcx4YuKGNwq+fYJ9SHPSQQkAroh8OjRI6EhDQoKEhXzuIQgE5cn5DBWrhecEmJHYC7wwLWFsxtppYJm5sv1eWfMmIHAwECR/Wr79u0iNOnQoUMoVkzm0c1uX4y0Xo8yKghRYW+EN3TIm0UUw/sVqZrvw6r4Twky3+d+H/D5tvmYTkUUepVviPPfzIE2zPfgjTcYuf4Kvm5UAjO6ySxXaf0cZX8SgYQQOHDgAFq0aIFbt26By8eOHTsWX331lWjKDJiTOKWUuOaAKh9FSvvIqvdpJQHz5FetWoUOHTqgadOmYKerGjVqiKxY7Akdv1ByVl2snFfGI6CMCkWo+xpysFoMZaQ3xfI6w67yMRiaJVxZhksJrrt9ErMubIe9uRV2dhmPJkUqaDXxy64e6PPrebSqXBAr+9fV6h7ZSCIgEUg9AitXrhQC2nfffSc6Gz9+vMgR8fTpU7DGlP2FmFg6ZoEuIiICb968QenSpcHV9lTEtYLDwsKEbxG3TagULV/nfosUKRKnPK6qD33axq48mVnXqlULr1+/FsBxLDAXvucUlJyi0tlZ2tiSgS/HXVZGh1P933UIfrMQSoUnSbw9qDbvU5J2CyXKfF/7e2Hk8XW44PYIvSs0wtzGvWBtaq4Vdg/f+qH7ktPk6Zwbm4bLLFdagSYbZUsEIkOeIjrSN9VrM6AIBCPL8lr1wzxg586daNCgASpUqIC8efOKEFVO3MQ1BIYMGSJ4xrRp0/DixQtwGVtmrsxkOeMiq5gHDBggVNi8z35GnF725MmTccY/deoUevfujYoVK8LFxUX4HvXv3z9OG3060JoB86JYOmHGy28gTAz6kydPBNCVK1cW5+R/ORsBZbSCYng3UizvT4iOeEt5mrvCxehr/HTjGn6wv4hAZQBW3p2D+U2/QrX8saaLjVSrd/q5f2FtYo5/Oo5Gq2JVtAbyrU+wSLThYGOGHWObw8JUp6+11uPIhhIBfUDA725bKCPepXqquQytkbf+B636WbJkiShXywzY0tJSCGaTJk1CuXKfVhpj6ZX5BjNYrq7HghxLwf/99x9cXV2FhMxV9ji/RHxih9+///5bqLs/fPiAxo0bo1+/fqKv+G314VjrX6rly5eD317YBhyfunfvjm3btsU/LY9zEAJKZRSFEW0hB6t5iA5/Bc50Zem8m96gK8La/RmcbV4iPEqB8Ggj2neAmWFM7O67QB+Sev/Emdf30b1sPcGY7czixv4mBaNvcLhgvlEU87t3QkvksTZNqrm8JhHI9ghYFp1F2ibXVK/TkLRV2hIzXS5Zy6roS5cugX2E6tWrJ5yv4vfRvn17NcMsUaKE4CnswPXZZ5+Bq+wxde3aFWvWrIlzK6un2Znrr7/+wqZNm8Q1X19fIWHzWPpIWjHgaIrBXLhwITje99tvvxVvOJqL5TcZSTkTASV5Kod7bkcIFUqICnsGk9xtYEGJNoytYh2gahYoAf6cP7kMhrkssKb59wKsf+5fwJSzW2BGiTT+6jAC7UtU1wnEsIiYLFdvfUIoy1UbFM6rPePWaSDZWCKgRwiY549xfsqoKbNGlP2DuDAPM2L2E+JPSEiIqB/QpEmTOFOxt49NiGNgYCA0qwUKFMDdu3fV7Tj0NSFiBj1w4EAhJfN1Tg7FNQv0lQy0mTgbzFkd0KlTJ5GEg0HT/EgGrA2K2asNmyPCPXfB90ZNBD7uRxWKisCuymnYVtwdh/nyqiN8jsHHpTqcjd6jpOEzeFyrgh8OjMUIsvc2d66Ii9/M1Zn5cmKOvqvOw+W5N7ZRWcGKhT+NH85eiMvVSASyJgIcnso8Yty4cYLp8iw5ZTGrlKtVi30RT2r2nTt3xpEjR4Rzlbe3t1Azx2/PdmEOe3316hXq1q0rnLBY/axKjRy/vT4ca8WAGWB2KV+6dKkaYH1YnJxj+iAQ7n0AvjfrIuDR1zDg1JLk1WxX6SCMbeokOGAuY6pZbNsIl8OI2YaUxe63hrjm4Yl17Ydi3WdDhbdzgjcmcXL0hqs4ePMN1g9pJGr7JtFUXpIISATSGYEdO3YIJ918+fKhYMGCgvF+//33WqcoZn8i9pxu3rw52P7LTlbsLR2fZs2ahalTp4J9jjj98ZgxY+DoqL9Z7nKRJKOMv8iEjvmtg73bWB3Ni2cJWEUMGmfJykziYO2GDRsKJ7GqVePWy83MeWWnsSN8jyP45WxEBrnAyLo22Xink8q5uVZL5Dq9rf/9H3zDgkjarYbFLfrCwcJGq3vjN5pLSTbmU6arpX1qY1CLMvEvy2OJgEQgkxDgsFS21erKFJ89eyYkW+YlTOzUxSrp9evXJ7gSHoMlYn0nrWzAvEguR8h6es5ukjt3XHUfv61Iyr4IRPidJeeqWYgMuAwjsu3aVNgJU/t2Wi04MDwUi6/uw5qbx0V79nz+q8NIre5NqNE6Si/JzHdyp0qS+SYEkDwnEchEBDjsSFfmy9Ple5o1ayZ8jPiYPZ137drFuwlSdmC+vDCtGDDHat25cwcPHjxI0K08QYTkSb1HQOH/n2C8Cv9zMLSoAJty/1BYUUet1sVpJDffO495lEYyICJUVC668s4VeVMo9fKg+11eY8zGq+jTpCR+7CK1HFo9CNlIIqAHCLDz1u3bt0UcMNuT2du5UCHtvbD1YIkJTlErBsyJN1hHz/WAJWV/BBSB14WqWeF3AobmpWFd9i8Rz6uts92FN48wlbyb73u9wecla2BWox5wtnVAxx0LUgzepccewumqbdVCWNEvYVtzijuXN0oEJAKZjgBrVjmkNSeRVgyYAWHjN8dmsaGccz+bm5urcWLDO9uHJek3ApFBt0ninUNeywfJq7kYrEv/QRmselLMXqy9P6kVvvT3wIzz23DwqQsqORTBvm6TUd8p9TbaB26U5WrpKVR1zoONwxrBUMP/IKn5yGsSAYmARCArI6C1ExanDUssNisrJOKQTlgp/5pFBj9A8Ou5iPDaTbmaC8OiyGSY5f+GGK9272eBpGJeSrV6f7t5DLamFphSvwu+olSSBh8Z98GnNzDmxHpRx5dDxi2MTLHh8+FaMWc372A0m30YtuYmOD6N/A8sZaKNlD9peadEQCKQlRDQ7heWZsxpvxJzmGbDuyT9QyAyxJVSRs4ViTQMTArAqsRSmDlSWjeDpGvtqlbKdt4tlEyDywX6h4fg+6qtMLZOB5FOUtWGt8Xt8qF/lbje0gWt4zryabZX7fsEhaPjwhNULTgX9kxoIZmvChi5lQhIBLIFAlozYFNTKXlkiydOi4gKeylSRnLqSI7RtSy+QNTlzWVgpvUSL7k9Fnbeu56vRRKN2Y17oKhtvgTvL5fXCfzRhUIjIkVxhQ9+YSLLlVMemeVKF/xkW4mARCDrI5AkA+YqFeyAxfbds2fPJppxJH/+/CJwOusvN2fPMCrcTRRJ4GIJuQxtYFl0NswLDqZ9C62BeeXviZlk593/9DoqOhTGnq6T0LBw2ha95yxX3648j1uvvLF/YiuUd7LTen6yoURAIiAR0BcEkmTAXB6Kk25wQeSOHTtmaRuwvgCeFvMM8/gXkcGxeVNZcrV0npZo11ER7lSPd5EoD5jLwJxsvD8Q4x1OWaysE70n/oWgiDAsvXYAq28chQ1VLFrSoi++rhhr543fPjXHI/68gqO33+LvkY1Rv0zCUnVq+pf3SgQkAhKBrIBAkgyYSw+qQk88PDwSna9mVqxEG8kLaYaAIuA/hHsdoAL3niS92lKNXYcEGXB0hCdC3BYj1H2tcKiycBoDc6dRxHi1lyjZ7v/PgwuYc3EHZbEKxvfVWmFc7S+0rtOr66Jn77iFv849FaFGHWoU0fV22V4iIBGQCOgNAkkyYM1cnFwqavfu3UIlrbm6DRs2iHqOLCVLyhgErEsuJ4Y7A96XnchxajHM8n0ZZ+BohS8x3qUIfbeazkeTtDsEFk5jYWCcJ0675A4uv30i7Ly3PV6J9JGzGvVEMXKoSi9ae+Ixft53F1M7V0H/ZqXTaxjZr0RAIiARyBIIJMmA2QZ8/HhMCkHOTLJgwQJwYQYVcd5PLkFVqlQp1Sm5zUQEoiMDEPr2F/qsgDI6QjhWWRQeRxJyfp1m9SbAS9h597peQ3lyntrddSIaFf60sLZOnSbTeM+1Vxi36Sox3lL4oXPlZFrLyxIBiYBEQP8RSJIBc53FsWPHIjw8HAqFQtR21Aw5Ygm5aNGimDJliv4joccrUEYFCWk3xG0ZeN/MsS8sCk+EoaluqdzYzrv8+kGscjkCK7LzLmr+Lb6t1EQdz5teEJ1/+AH9V1/A59ULiwIL6TWO7FciIBGQCGQlBJJkwHny5AEnuGDiYgysZmavaElZB4EIn8MIej4eSlI7m+X/WjhYGVJtXl2I7bxbH17E/y7sgA9VKxpUtSXG1/kCNpRUI73p3htf9Fh2GjWL5xWlBWWWq/RGXPYvEZAIZBUEkmTAmpNkVfOxY8dEvUYTExMsWrQI58+fR6dOncBFkSVlDALs0azwPYNwn0NiwHDPrZQushcsi0ylvM3FdZ4EF0iYemYLbnm8RNviVTG7cU9KnKGbylrnQT/e8NorCJ0WnoSTvSW2jWkGMxOZ0CWlWMr7JAISAf1DQGsGzEWQFy5cCK7byFLx5MmTwY5ZI0eOhIWFBXr06KF/q9eDGSujghHhf4GY7klE+J1GVMh9MWsDsxJia1lsHjlYjdZ5JW4B3ph1YRt2P7mKcnmcsLPLBDQpUl7nfrS54dDNN6KKUWRUtGhuZGiA5X3qYMq/LpTXOSbLlZ2ldtm3tBlPtpEISAQkAvqAgNYMePXq1Th06JCoijR48GDBfPfu3YulS5fi33//lQw4jZ62ktI7RgbdQITvKSj8TkJBNXhJv0wZqxxgYtcUFoVGwDh3C0oXaS68oA1MCuo0crAiHCuuHcSvZOe1MDbFQrbzVmySrgUOCuexQve6xbDj8gsh5bat4oRZO2/BMyAMx39si4L26a/q1gkk2VgiIBGQCGQAAloxYB8fHwQGBqJp06aiJOGZM2fADJmpRIkSSRZOzoA16P0QnBoyQki4zHRPU3yvH6gcEYxt6lO2qpnEeJvD0LKyOiabFxyt8NFp3Wzn3fboP7LzbodXaKCw807IIDtvpSK5wR+X516Uz9kEru8D4OoegAOTW6JsIVud1iEbSwQkAhKB7IKAVgyY6zSympltvu7u7uCCyW3bthWpKbdu3YpmzZplFzwyZB0cp6vwPyuk3AiquRtNDJjJyLIqeTD3J4bbAsa29UnKTZv829fePcUUqs9788MLtCnGdt4eKJHbUYyZ0f/dfOmDtz4h+Hd0E9QtlX4xxRm9LjmeREAiIBHQFQGtGDBnw2IbcJs2bRBNeXpHjBgBR0dH4YDFscKTJk3Sddwc1Z5jchWBVz/acU8hkgrek15ZlP5j6daYcjKb2DXTOlGzOeD5AAAwLUlEQVTGvVcHEBRwH2wFdnU7ihBvX9Qp9/0nmL4N9MZs8mze+fgyyuYphB2dx6Gpc8VP2mXUiecegYL5/jqgLtpXK5xRw8pxJAISAYlAlkRA63rAPPvbt28jLCwMtWvXFurQ06dPi31Ly8yvVJOaesBe/xWiUotRtEJ2EjKkcJ7esKYMU6khrrEbwTZcsuVG+J+nrkNEAQRj28YwyU1Ml6RcI4uUJTA5eaouKhvfUU8vKMoYxZr6q49DyM77y/XD9Dkk7LyT6nVC30rN0tXOqx48gZ3oaCVGbbiC9WdcUZ5Uzlfnf5FAK3lKIiARkAjkLAS0koBVkFSpUkW1K7bZRfVsTo5NkYEuiPA5CPMiU2BsVT3OOrU5iI54Tyrl02qmG614T7cZwsimFnkpjyGmSwzXuha9uKQ+1KZqza3wDH6P7rsXY3LdzmheNCZzFNt5d5C0O5vsvJ4hARhANXgn1ukEW7PMc3IKV0Sh3+rz2O/yBiUdrVGqgLT5avN9km0kAhKB7I9AkgyY43s7d+4sknAwFM+fP8e9e/fUx3xu1KhReP/+PdgWrK9kWWQyFSxYJxiwZeFJZHs1TnYpyqgQsuNeEAyXPZZV4UGG5qVh4tBZOE6xtKtLxaFkB/3YII+NM6WXzAP3CEuYWRRDAfsKcHF/Juy8Lu+foxUx5P816YWSmWTnVa0jIDQCPZaewZWnntg0vDHWHH+suiS3EgGJgEQgxyOQJAO+du0a6tSpowbp3LlzmDdvXhwGzFIXf7I7xYQH3SQvZVIpk8cyVyT6NDyIvJVNdSs8n1rc/MKDMeTIWmwnD+fS9gWxney8zTLRzqtazwf/UHRedBIvPgRhGcX8PnDzwytKvOFBoUfzdt9G74bFUdRB+3KIqn7lViIgEZAIZBcEkmTA2WWRKV1H3PCgMxQe5JtseFBKx9L1Pt/QYHHLj2f/obzNZljQ7Guy8zaFkUHqVdy6ziV++xfkbPXFzycQFBqJI1Na47V3EKZS0o0osgX7BUdg9bFHaFTWUTLg+MDJY4mARCBHISAZcLzHHe69l6Tcc0K1HB32Qlw1sqwiChzEhgfFVoSKd3u6H94gFfO626ewm2y9TFylaG27wbAzy3xHOJ7P3dc+6EjpJS1MjHBiehuUyG+DKkXtIWv7MjqSJAISAYlALAKSAcdiIfYCH31L4UFOMbG4zpQEIzeHB+WN1ypjD0MjI7Dr0WX8eecUuDZvAavcGFK9rahc1KNcgyzDfLmqERdWKJLXCnsntEB+O/OMBUqOJhGQCEgE9AgByYDjPSy76tdhbJk+OZHjDZXs4VPf99hw5zT+eXAB/uEhaFy4PDZ+PpyKJlRDQESIYMDJdpJBDfZdfy28nbmqERdWsLWQuZ0zCHo5jERAIqCnCCTLgHfu3ImnT5+K5bEHtKenJ8aPH69e7oULF8B1g7MLGZmnLDY3rdYfRYlOjjy/JaTds6/vU0lAc/Qq3xD9KjfPdK/mxNa4/rSriPNtX80JG4Y2klWNEgNKnpcISAQkAhoIJMmAixcvLpjv27dv1bcUKFBAFGVQn6CdQoV0K/yuea/cj0HgQ7A/Nt87iw13z8A9yBeVHZyxrGU/dClTRyTT0MRp3e2T4DKCTBvunsbld09EUQXNNhm1v3DfXczacQt9mpTEin51Mi3ZR0atV44jEZAISATSCoEkGfC+ffvSahzZTyIIXHJ7LKTdA09dYEApPzuVqoX+VVqgZgFONJkwvQ30wTNST1fIWxhBEWF47P0u4YbpeJZDzyZuvo7Vxx9h3OcVMevLauk4muxaIiARkAhkPwSSZMDZb7kJr4jTUMakoqTQXmUk/WdIGasMEm6cBmcDI0Kx7eEl/EnezI993sHZxgFT6nfB1xUaw97cKtkRpjfsTm34kzmkiIzGd2svYvvll/jpq5oY1qZc5kxEjioRkAhIBPQYAcmA6eF5XYhNCOF9KQ/lgv4W1qV/S/PH+tDLTUi7zHxDFBFoWbQSZjb6Ei1oa5CODD8tFxIcrkCv5Wdx7uF7rBvcED3qF0vL7mVfEgGJgEQgxyCQaQzYy8sLLi4uKFq0KMqUKZMo4L6+vqJdhQoVwPbn9CCrkr9Qt7HZvAzNE5+PruMroiKxn9TLLO2yrdbezIpyNLcQxRGK2GZueJOua/EKDEPXxafw0M0fO8Y0R8vKBXXtQraXCEgEJAISgY8IZAoDvnnzJqZPn47WrVtj1apV6Nu3r8g5Hf+p7N27Fzt27EDjxo3FtmzZshg9enT8Zqk+Ni8wINV9xO+ASwGyQ9Xme+dEYQS26a5qMwgdycZrapR8run4/WX28RuvYJHdyjsoDAd/aIlaJRwye0pyfImAREAioNcIZAoDXrZsGebMmQOurvTll19i4MCB+Oyzz2BiEhs7GhUVhU2bNmHhwoUoVqwYvvrqK9G2T58+yJ07d5YEnR2TzlDoEEu7R1/cgqmhMbqVrYv+lVugUr4iWXLO2kyK8zh3XHhCOIkd/7EtyhSUFY20wU22kQhIBCQCSSGQ4Qw4MjISbm5uqFw5poRe/vz5YWFhAQ51YkarIkNDQ2zcuBGqWsNchzgoKAjMmFXk7u4uikPwsbe3N6yskndgUt2bllu/sGBsuX9eSLzP/T6gFFUhmtO4F3qWb0BxvJlXCjAt1njZ1QPdFp+GI2W12juxBQrZZ42Ul2mxNtmHREAiIBHITAQynAF7eHgIppqLQm5UZGtrCx8fnzgMmK+pmG80JadYvnw52rZti7x5Y+2mzIz9/PxEN8ycNftU9Z2e25sfXghpd/fjK1BER6FtiWoiHrdJkayRSSu1az9yyw3frDyHioVzY+e45rC3Mk1tl/J+iYBEQCIgEfiIQIYw4NWrV4MlX6bmzZvHkWL5HF8zM0u4wEF4eDhmz54tSh5OnTqVm6vJyclJqKn5xMWLF7F//371NV12SqwehihlNKLpY0jeyF9SfuWfqLpQQhQWqaBCCFeENzMz4PwWthhesx36UCUiztGcXWjLhWcY8sd/aF6xAP4e0QQWphnyVcku8Ml1SAQkAhKBZBHIkF9VlnBVDDhPnjwIDg4GM1ZT0xiJiqXfggU/9agNCQnBpEmTRKatCRMmgNXS6UHDqLDBjQ/PRQrIiXU6okr+op8M88LPA+upGMKW+xfANXgbOJXBuvZD8VnJ6lmiBOAnE07FieWHHojygT0pxOi3QfVhZJh+MdGpmKa8VSIgEZAI6DUCGcKAe/fuHQekOnXqgLNsde/eHefOnRNOVSrHqpcvX8LR0VFIxDNmzBAhSsOHD49zf1ofjK3TARvJY5lzMI+p/TmMDWNgYYn46PPbQto9/eqeqLvL1Yf6V26GMnmyX/pNdiKbtvUmlh26j+GUXGN+7xoZrtZP62cr+5MISAQkAlkVgQxhwPEXP3ToUEycOBG7d++GgYGBCElStRkyZAgWLFggPKIvX74M/mzbtk11GStXrlQ7cKlPpvGOZ0iAOi8zp30sn9cJi5p/Sx7N9QQTTuPhskR3kVHRGLruP2y58ByzulfDuA4Vs8S85CQkAhIBiUB2RSBTGLCzszO2bt0qHKjs7OziYHv48GH18fnz59X7GbUz5OhaHHx6Qwz3hcjL3Bx1CmZuhaT0XntoRKRwtjp2+x1WD6yHbxqXTO8hZf8SAYmARCDHI5ApDFiFenzmqzqfmdur755iYt2O+LpiEzhY2GTmVDJkbN/gcHRfchq3Xvrgn1FN8Fn1whkyrhxEIiARkAjkdAQylQFnRfCv9V1AmapiE4JkxTmm1ZzcfUPQ8eeTeOsbjH0TW6J+mXxp1bXsRyIgEZAISASSQUAy4HgA6UtRhHjT1vnQ1T1ApJaMoMpGR6e2EbG+Oncib5AISAQkAhKBFCMgGXCKodPfG12ee6HLolOwszTBkSmt4eyQORnE9BdBOXOJgERAIpB6BGSAJ2F4/s1DuPq4CzQv0P6Tj/uphzfr9XDy3ju0n38chfNa4sS0tpL5Zr1HJGckEZAI5BAEJAOmB91558/47eYx8ci771mClS6xntjZ6Xuw4/JLkde5Vom8OPxDazjYJJx9LDutWa5FIiARkAhkVQSkCpqezKVv51E54Nh6wDZm+l1AIaEv22/HH2HC5mvoVMsZ6wY3gIlR+mQVS2hseU4iIBGQCEgEPkVAMmDCpLR9gU+RyUZn/rfzFn7aexeDWpTG4m9qU/KT2EIY2WiZcikSAYmARECvEJAMWK8el26TjY5WYtSGK1h/xhVTOlemTxXdOpCtJQISAYmARCDdEJAMON2gzdyOwxVR6Lf6PPa7vMHSPrVJ+i2TuROSo0sEJAISAYlAHAQkA44DR/Y4CAiNQI+lZ3DZ1RN/DWuMzrWds8fC5CokAhIBiUA2QkAy4Gz0MHkpH/xD0XnRSTz/EIjdE5qjafnsbd/OZo9PLkciIBHIQQhIBqyHD/uyqwfcvEPUMzemer0daxXBC49Akd0qKDRSJNioWjSPuo3ckQhIBCQCEoGshYBkwFnreWg1m1+PPsLuq6/Uba3NjFEsnxU6keRrbmyE49PaoKRj9i8koQZA7kgEJAISAT1EQCbi0MOHtmpAPdz6uaOY+fK+dSiutyHazD2GfJRY4+R0yXz18JHKKUsEJAI5EAEpAevhQ7c2N4YiKlrMnIsqcIKNmsXzYtuYZiK/sx4uSU5ZIiARkAjkOAQkA9bzR/7r0YdoV81JeDubmcjsVnr+OOX0JQISgRyEgGTAeviwOcHGgj13xMwblM2Hf0Y1gaGBtCbo4aOUU5YISARyMAKSAevZww8OV6D/6gs4eMNNzLx/s9KS+erZM5TTlQhIBCQCjIAUm/Toe+DmHYwWs4/i1D13/Daonh7NXE5VIiARkAhIBOIjIBlwfESy6PG1Z55oPOMQvIPCyN7bCEXyWomZvvIMwt3Xvll01nJaEgGJgERAIpAYApIBJ4ZMFjq/9dILtJ13DIXyWODczPbYcvEF2s8/LmY4a8cttJ5zNAvNVk5FIiARkAhIBLRBQNqAtUEpk9ooqUbx3N23yeHqrsjnvPa7+jA3McL0rlUxrE1Z9ayMpAOWGgu5IxGQCEgE9AUByYCz6JMKCY/Ed2svYs+115jUsRJ+7FIFuXLF1PEtVcAGpSAzXWXRRyenJRGQCEgEtEJAMmCtYMrYRu6+Iei+9DQevvXD+qEN0b1usYydgBxNIiARkAhIBP7f3nnAS1Vcf/zYUBEhWMAasWMNRowaERUCgoppYtdgJEYMBMtfsUTUWKKxBDUGxRoN0dh7VxRFEQtCrEhQFLEhIlgRuP/5js71vsu+3fv27e7bfe93+DxunblnfjM7Z86ZM2fKjoAEcNkhbtgHXpj2se09YowtcubnB07c1bquv0rDMtDbQkAICAEhUBMISABXUTXd6jZYOOyycYaJ+eajd7E1V1qhirgTK0JACAgBIVBKBCSAS4lmI/I6547Jdvotk6zf1mvbFYfvYCssu0wjclNSISAEhIAQqHYEJICbuIa+mr/QBl3xlN00/i07eo/N7LT+W8XOVk3Mmj4vBISAEBACZURAAriM4BbK+oM5X9o+Ix6zyW/PtssP28H267ZeoSR6LgSEgBAQAs0EAQngJqrIydNne0/n+d8ssntP6GXbbdihiTjRZ4WAEBACQqApEJAAbgLU73r+bTt05Dhbt0Mbu8k5W4Wwkk3Aij4pBISAEBACTYSABHCFgb/g7pds+I0TrU+XNe3qQTvaisvL2arCVaDPCQEhIASqAgEJ4ApVw9ffLLTBV42368dNsyF9NrEz993allzy28hWFWJBnxECQkAICIEqQkACuAKV8dHcr2y/Cx+z56bNsn8cur0dvNMGFfiqPiEEhIAQEALVjIAEcJlr5+UZn1j/C8bYZ199Y3cP62XdOncs8xeVvRAQAkJACNQCAhLAZayl+1+cYQP+8YSLaNXa7jm+l3O6WrGMX1PWQkAICAEhUEsISACXqbYuuu8VO+mG563n5mvYtYN3tLbLtyrTl5StEBACQkAI1CICEsAlrrVvFiyyodc8Y9eOnWqH99rYzjmgqy2l/XpLjLKyEwJCQAjUPgISwCWsw4/nfW0HXPyYPT3lI7twwLZ2aI+NSpi7shICQkAICIHmhIAEcIlq87V3P3WRrR61Tz6bb3cc19N23nT1EuWsbISAEBACQqA5IiABXIJafXjyTDv4krHWod1y9tipfW2D1dqWIFdlIQSEgBAQAs0ZAQngRtbuyAdfs2Gjn7Pum3S064Z0t/YrLNvIHJVcCAgBISAEWgICEsBF1vKChYvsmOsm2JWPvmED3VzveQdtY0svtWSRuSmZEBACQkAItDQEJICLqPFPPv/aDrp4rI199QM798BtbFDvzkXkoiRCQAgIASHQkhGQAG5g7b/x3lzvbPXhp1/Zbf/Xw3pusUYDc9DrQkAICAEhIATMJIAb0ArGvPye13zbt2lljw7va53XbNeA1HpVCAgBISAEhMD3CEgAf49F3rMrHpni53y332hVGz1kZ1t5RTlb5QVMD4WAEBACQiAvAhLAeeExW7hokR0/+nkb+dBrdnD3DXyAjWWWlrNVAdj0WAgIASEgBAogIAHsAJr2wTyL3L9AKy6/jHVou7x9+sV8v7730Zfes7P229r+2HfT8IqOQkAICAEhIAQahYAEsINvy2NvrwPiQd3Xt2P7beGdrd6d/YXddNQu1qfLWnXe0YUQEAJCQAgIgcYgIFuqQ++OY3vaoF7fLiW62QnbHTbqaDufdq99OX+hPTK8j4RvY1qY0goBISAEhEBOBKQBO1hYSjR91mceoJlzPrejr33Wuq63il0/dGdbte1yOYHTTSEgBISAEBACjUFAAvg79KLvpoD/ePUE22+H9eySQ7ezVksv1RhslVYICAEhIASEQL0ISACnoDllry527J5bpO7qUggIASEgBIRAaRFosjngWbNm2QMPPGCvv/56phKNGTPG5s2bl+ndYl5aYolvUx2522bFJFcaISAEhIAQEAINQqBJBPDEiRPtkEMOsSlTpthxxx1nt912W16mx44da8OHD7fZs2fnfU8PhYAQEAJCQAjUCgJNIoBHjBhhZ5xxhg0ZMsRGjRplV111lc2fPz8nZmjKPP/BD36Q83kpbr4w7WOb/tG3TlgvvPn9eSnyVh5CQAgIASEgBHIhUHEBvGDBApsxY4ZtueWWnp+OHTta69at7d13312Mv8h5Rp199tk2ePBgW265xb2R586da7fccov/e+KJJ6xVq1aL5ZHlRvdT77Xz737Zv9rz9Pvt7DsmZ0mmd4SAEBACQkAIFI1AxZ2wPvzwQ1thhRVsiTDp6lhv166dNy+vu+66dQpy880329prr21du3atcz9cvP/++3biiSeGS2vTpk183pCTx0/ta8ELmnSrtFWc54bgp3eFgBAQAkKg4QhURACPHDnS0HyhHj162MKFC+twyrO0hvvmm2/afffdZ6StjzbccENjPhkaP3689ezZs75X897f2q35FQkBISAEhIAQqCQCFTFBo+GGv5VXXtk+//xz+/rrr+Ny4ly1xhp199V95JFHbPr06davXz/r3bu3oe0OHDjQJkyYEKdDi8Z8zd+yy0prjYHRiRAQAkJACFQ9AhXRgPfff/86QGy77bZ25513Wv/+/Q0P5/bt2/s/XnrrrbdstdVW88IWgRuId8877zxbZ511wi0dhYAQEAJCQAjULAIV0YDT6BxxxBHG/C6CGS/oE044IX5l0KBBmdcGx4l0IgSEgBAQAkKgxhBYwnkaf78PX4WZnzNnTsmWF40bN866devm54S7dOlS4ZLoc0JACAgBISAEGoZAk2jAgcVyru0N39BRCAgBISAEhEA1ItCkArgaARFPQkAICAEhIAQqgYAEcCVQ1jeEgBAQAkJACKQQkABOAaJLISAEhIAQEAKVQEACuBIo6xtCQAgIASEgBFIISACnANGlEBACQkAICIFKICABXAmU9Q0hIASEgBAQAikEKhIJK/XNsl4uWrTI+BMJASEgBKoRgSWXlN5TjfXSFDw1GwG80kor2QYbbGBbb711UTguvfTSPp40caprhdhV6quvvlpsc4tq5Z8NN4j7kowDXq28wpfaRPlrpyW2CbZeTce+Lz/S+kI1ItBsBPAmm2xio0ePtueff74onP/73/8aG0AMGTLEllpqqaLyqGQiBO+ll15qffr0sc6dO1fy00V/i/CjdLh77LFH0XlUMuGkSZNszJgxduSRR1bys0V/i8Hj5ZdfbrvvvruxU1gt0H/+8x9bccUVbbfddqsFdu2FF14w9h4fOnRo0fwqAFHR0DW/hISiFEXRDTfcEG200UbR/PnzawKOTz75xPN711131QS/MHnggQdGgwcPrhl+r7vuOo9xrTD80UcfeX7dNp61wnK07777Rm6AUzP8Xn311ZEb7NcMv2K0uhHQZETzG1OpREJACAgBIVADCCx1qqMa4LPsLGIG+9GPfuTNuewzXO2EI8f6669vP/7xj61t27bVzq7nj20mmaOvlfkvcGVjj4033rgm8GXqJLQJ2nMt0Oqrr+7bBMdaINrEVlttZc5aVgvsiscqR6BJd0OqcmzEnhAQAkJACAiBsiEgE3TZoFXGQkAICAEhIATqR6DZeEHXX8Tvn7D85bnnnjNMzNtss40ts8wy3z9MnH366af+PUzSq6yyin/y3nvv2VtvvZV4y3w+2223XZ17pb54/fXXbfr06d7UHHhJf2PixIl1lvZgHmNZFpSrLOn0pbyeNWuW90Tv1KlTXtPt1KlT7Z133jHwW3755WMWFi5caM8884w3q2+66abWlGsms2AfM16Bkyz8fPPNNx5/MN1yyy19Gw2szZ071yZMmGCbbbaZVcLkm6UtvP322zZz5szAoq288sqxB/eCBQvs2WeftXbt2hltodxUi/1DuTFR/uVFoMXMAX/55Zd2yCGHGEs1xo0b55eX7LrrrnU6KKDm2fDhw42lAldeeaUP6sESpxdffNHuvPNOe+211/zfo48+ag8//LDtt99+Zauhv/3tb3b77beb88y2Sy65xHbYYQffGSU/SCf1m9/8xgvawNu6665rHTt2rLcsyfSlPGcgwJIdsLvsssv8kiOwS9PRRx/tl3MQMGXEiBG2zjrr2JprrmkzZsyw3//+934wwXIyMO7Ro8didZTOrxzXWbAvx3fryzMLP++//7799re/9Xi9/PLLvg5Y8sV6ZtrumWee6Zf8OE9ea926tV83X9/3Gns/a1s4//zz7cknn/SDW9ov7ZmBwxdffGHOa94PwBDC/A769u3bWLbqTV+L/UO9hdGD2kGgup20S8cdywdcJxZneNhhh0VPP/10fB1OWBLx2GOP+cspU6ZEe++9d3gUH90a3OiAAw6IXMcR3yv1yZtvvhn98pe/jJxG6LO+/vrro7POOmuxz7zxxhuRE8CL3edGlrLkTFjkzYMPPjhyAxWf2gmDyHX+kdMq6uTm1lv75UjhphOy0VFHHeUvR40aFbmBRngU/eEPf4h4XmnKin2l+MrKz0UXXRS5QWPM1sknnxyFZWpuoBi98sor/pnTTKOePXtGtONyUZa2wLdZhuQsPIux4QYMkRsIx/d5zwno+LrUJ7XWP5S6/MqvaRBoMXPAmDzxGA7EueuQwmV8xEMXMx0jcEyhHTp0iJ+FEzTjLbbYwmuk4V6pj9OmTfOaQDDB1sevE8C21lpr2f3332933HGH5zvwkqUs4d3GHtFc0GDRXiA0cLQsov4kCVOiE7TxLUzkBBWBJk+eHKfnGlP6//73P04rSlmxrxRTWfnBenDQQQfFbIEtmp1bM24ffvhh7LmLmRcv6XTdxAkbeZK1LfAbmz17trn1y/avf/3Lt5/waUzktO0PPvjA+O3OmTPH2rdvHx6X/Fhr/UPJAVCGTYJAixHAmOeSy3U4//jjjxcDfeDAgeY0Y+vXr59dc801dswxx9R5h07t1ltvtQEDBtS5X+oL5pyZ+wpUH79OSzfmBufNm+ePTmM35t6gQmUJeZfiSAdPaMzkEi74p4NNEgOKMOdLGhfswpy25F/BxI5Znw78s88+s6eeesrAodKUFftK8ZWVn1atWsV+DZjvGRBhtkVwsTzJWXY8y5iHaSPlwjZrW2BwxbwrJmbm/pm+uOeeezyPLFdjsMYUD1NHtJFcg+FS1UGt9Q+lKrfyaVoEmq0T1siRI31HDrwIJdZI8iMPRCcfBEG4x9FFarL999/ffvGLX3hBfMQRR9gtt9wSv4um+ZOf/MRreMl0jT1/6KGH/Nwy+aDtZuX3d7/7nfGHtgnRocEj82eFyuITFPmfM4va3Xff7VMzOCAkZhJfHoAxoSdzEemHDRvmO9fgyEYeWCWoLxzkWG+JUK80ZcW+Unw1lB/me9EoL7jgAmvTpo1nE+3473//u7c+oF0i3JIDvFKWJc0veedqC/gH3HbbbbFmSyz3q666yofSxMrEoJLnDMZoK1h6dtxxx1KyGueV5rna+oeYUZ00KwSarQZM5xL++HHhQZzUxjhPB4RAK+DPzb16xxV+7Iy6X3311bjS7733Xi+c4xslOkGABn4RWquuuupi/ObyXMWMiNAN9MMf/tBrNlnKEtIUc0RABn4xZ2LWxMEtyUsujPkWeLp5X3NzvHXiQuO8ddppp9k///lPc6FBvTMXzlmVpqzYV4qvhvCDReHGG2+0iy++2Du3BR4ZzCDciBWN4xsm3XJhm7UtwAPm8UC0XUzOOOfhhMcgmDYGn7169fJTQ+HdUh+rvX8odXmVX3Ug0GwFMFosZiv++HEhTF2MXD/fiHDCvEmnBAVhxXuMsjHpQpil6CBYtgEhXFiKtPnmm/vrUv6H+TXwi/mNZVIvvfSSX6rDaNw503jNm28yr8fSJGjs2LF+UwbOmVPD9LjLLrv4MucrC+83hsg78PurX/3KD1i23XZb721LvvCF6TPM24Ebc71gfdxxx9kpp5xiO+20Ux0WnKOZ9/ZGoLNkhjzIs9KUD/tK88L38vGTbAsMDtlQBOsPc/BJck6Hhmc01go8/WnroW6S75XiHK/rLG2B6RwGYpTBucB4iwptgmkKfg9sfADR/lk+GCwlpeAxnUe19w9pfnXdPBBoMZGw+BGjXSHU+IE7r0rr37+/r8Vzzz3XmzyZg2K5EeY7zF50CryHQINwCjnhhBOMXX0qQZh40WRY08tSnTPOOMMLOjqjP//5z17YIajOOeccv5YSZxY0BXZ0ooz5ylIO/hkUIFyxOPB9lnOFkH3MRZ599tm+80fQJueKKR/LTNCgTzzxRD+QQAti/u9nP/tZOVgtmGd92BdMWKYX6uMn2Rb22msvr0Emsf31r3/td+7hPUzQWFeoH+omLaRLyXqWtsA6e6wdYd6fwcHpp5/urU4IZ5beMY9Nu2AQwnQQ7aocVIv9QzlwUJ6VRaDFCOAAK/NKzP0ySs9H/OibYv4xzROBFdC8w1xe+nm4RvulY1122WXDrfhY6bJgWmzMlmsMfgqVNy5cGU+yYl9GFupkXQp+Ko1tlrbAYAu+EMBpwmrCb7XQ7zWdrtjrWusfii2n0lUHAi1OAFcH7OJCCAgBISAEWjoC5bHntHRUVX4hIASEgBAQAgUQkAAuAJAeCwEhIASEgBAoBwISwOVAVXkKASEgBISAECiAgARwAYD0WAgIASEgBIRAORDI7wpcji9WQZ4uaH2dAAAs9mdd65577mmE8wtEMAi8cdlRBiKABBF6WMvKcgk8N5PXa6+9dkha0SNLkYIHaZrnfIywzpLwhOxO1NypIbg0FAsigLFEjHXR7ERVDLHjFd7ALBMiJvYDDzxgxx57bDFZFZ0m2Y5YKkab2n333YvOr5wJWRnAsjZ2f+J3RwASguaww1kuSuKb67nuCYGmQKBFasBEAmJLNgI9PP744z46EFv6ES+XONCBiChEcINAxIcmZCQ/dDqn9HV4r5JH+COEY6A0z+F+riPRhghX2BKoIbg0FI8ggAmvWQwR7IVNLNgbF5o0aZJf211MXsWmSbejf//733Fc5mLzLGc6liedeuqpPlAN30EAE4I1F6XxzfWO7gmBpkCgRWrAAO22E/T7owbQ0Wp32203H0OZDhDNl00XAhGth+DxdFQElUhfh/cqfSSwCOt8AyV5Dvd0tDp1WWo8sJqwRrdYYq1siL5WbB6NTZduR43Nr5rSVwO+1YSHeKkeBFqkBpwLfkLzEcSerd+uuOIK/wqReIiKhWYyaNAgf+/SSy/1EbWS10SrCnTttdf6zQQwZ7OJOhF2IExmbJrAzi9EJyJiFCZHqL40dOqkgafjjz/em9fYYCHsYoP2zkYRRAviPUb6gWefsfuPtET4QksmZCRRvzDHZaX6eGPHG8IbPvjgg3FWTzzxhBH0n2fjx4/3ZnpCYxJNDPMs2yUGIhwiJkQ0U7DiCGEG/dOf/uT5ZWs9QismichJxAhmsERUsmR8b3b5Yecct9etx4NtJQOlcSHmMCbe3r17+y38MPkGKoR7eC8cqWPwZ0N5iIhT5EfsZXil/ER7ykUMnigHRLmxsATCQoFlBksLVhsiswUqhFN4LxzR0mm7xDkHbywfYdCQqx2Rju8xxcL71N+YMWNCdv5IpDXKDYa0sZkzZ8bP66vf+IXvThj40g4oI22cMiepvvaXfCffeRpftGRikGP9ShIDV34boe7dvtV+M5OAPdNNScpX9uR7OhcC+RCQAE6gs9pqq1mnTp2MHx+EcHnyySf9TkNhL2F2cOEveR3CLQ4dOtRvX7jhhhvaT3/6U/vrX/9qhAeE+GEj2IlRTbQqRuWE1cuXhk6TNAgbBAYdIQKJDg/CFM7cNRs5sEMTmljgmeeYRDFtIqQQZvDF3DUdfRbKxxvfZr6Sjpn82doRQUMcZ54RtvO8887zz+ENbCk7c4sQ2ygyQDnppJN81CwsCnSWxMEmZvfPf/5zH/2IOUjMixCdMbGDidu7zz77+LjXIVQl+Oy8886eJ4QC4RiJJxyEYhIXBirUH9YMMGUgREdLDGWoEO7+pcR/pKeewv66CF8GImxnyWCA/JibJBZzmojwREhGiD2mwQkiFCOhOLlHeyNEJyFHoUI4+ZdS/zFXioCjDXTt2tULPSw5CNlc7YjkDD6ZO+c92ivHsIc2A6vtt9/e+0EQ0pW9s2lrQQjnqt8US74c5En9MkBkkEqdBVN+vvaXzqu+6zS+bOxAjPf01AvmbCjUPSFdaZO0DwZUDITCAKhQ2X1G+k8IZEHANaoWR85RJnIdWs5yOy0x6tatm3/mfnyR60j9uesQUT8it4lDzmtnQoycQI3c3FmcrxNCPo1zdIpciDt/7jrB+HmhNK4D8GlOPvnkOI3TkPw919H5e65TjlzHFz9P8uwEWeQ63sh1KvFzpyFGToD561GjRkWuQ4qfJU8K8ca78Oe2tYtc5xQ5rT5y8Xojp137bJyw9Hy6/V3jbCm7szT4a6cd+udO44mfn3XWWZEL/xm5zr7OPRezOHJCLnIad+Q6Rn/OC25KIHIdaeTmAyOnYUaus42cIPZpeZ9nTmD46yQuTvON3EAhch2+f8Z/3HPz+pEL6enLRV3nwz1O6E7Ih/fhAXJOex6XgDtHt0NQdOGFF/rn6f+clcKnB3MoYJfExm3RGDkh7p8Xwsm/lPjPWQJ8/s4CEd8N99x2f/5euh1Rhs6dO8f1CS4uhGvkBhr+fbeRSeS06Tg/TrjntEt/L1f91nnZXYCHc6CqUw8u3nNEuyzU/mgjYO40bZ8t7cJp4elP+Os0vm5jk8gNViM3aPTPneUkcmFcI35T4TdHmw5EPfAtZwHwtwqVPaTTUQgUQqDFzgG7H1ROwrSHV3RDiWD3DmxvYmYOORBzyTxDs4OSu/sUShPeRYMMxJZtEFpQIUKrQCtkxI4HN9oLptCgZeVLX4g3dq1BAx49erQvE+eYgNmmMBCaPt8PhOaOufGdd97xt3jepUuX8NhvNwdvf/nLX+J7aJVot5jZ0bDRmNg3FqsA3ulsPIGWA1Y40aHh8R3eQztna7w04f2N5pz0eEcDxgTpOn5zgscnKRZ3EqNlho0DOKJ5pc2Yab6S1+CZxAaNHY0UwrSeD6e0Nz71AtZo44HgjzyYEsFMnotos6E+iZ/OHsJouGiqtHG2x0SrDkQsctpNoHT9hvvhCF9YM5L1wFQBhBNYvt9TEpuQX9Yjvws2AGHa4/DDD/eWFSwUlAfnLoj2E4hd09gSknaD1p+l7CGtjkIgHwIyQSfQ4QdPB0xH3lDCRIcgoNOhww1/CIiwnSF5JgVC1jTJTSFCpw6vhYjlLCyLOfTQQ2MTIYIzC2XljQEGnTSmO/6SRKeFeTwQnR4UBBEbNoTycB/TMO8H7DgiTJgj5ZxdqZh7QxAzNUBHiuCFV/hAMCG82ZiCnXPWW2+9xeYt+Q7mXQRiksLOQMkyFIs7+SbTco1wagiRPolN8rwQTunvgA9YJ3nCRI/pOVnedLqwtC3cJw3tjkEqZncwh6/wh9kW/4ZA6foN98ORgVWSp3CfY9b2l0yT9ZzfKVMyDGgoP8J+wIABdZKz+1ggyk1ZaLdZyx7S6igE8iEgDTiBDj9ItLMDDzwwcTfbKVoZ87xoUsz/Qvy4cRoKc8TpnIpJk86DzqE+Yl4LbQ6tNwgABFe+TjfklYU3nI/wJkcbpUOmUyN/OjgIrZW5YLRSCD7ocDfeeGPvpOVvJv7jm8zVsqY2CBw8z3HoQZgzt8oc85lnnun/0KDQUrmPloI2h+Dlj44STZj5u7CdZPgU30kvWeEavtnrOcvgJuRVimOow6zfLYRTmifeR9gxeAmaI458DNCYW4YCD+m0ua6pC4TzGmusYc4cHr9C3QWNOb6Z54QBUvC3CK8xN8sAinpt6O8p5JE+hrIl8UXg4qOAFoxTInO9ScJqFPYfxgmTdowVolRlT35L5y0XgRarASNo8drFGxJPYrQszFFu7sfvPdrQJkEnj2Bhn1WcbcI6xWHDhsVBMtJ5FpMmnQdaJZ0pTi/B4zq8g4kRBymcSeh88EJmL2NMiIUoC284dOEwg9mQv6lTp3onr2Te7FuMVzROOnjU0vEF4Zp8j3MclxDa7NuMlke5EPDshYuZEtMfQp7OkPLgTEOZg8WCvCkfAwwEMHmEZ8lvUc/wismZ7edoA5dddpnvhLFgVJqCZQAPYLTzQlQIp3R6zKlodLRNsANj2iUacPfu3f3r+dpROj+uWQWA8xQrB8AbDHGcw6s5K2GZYcCGMx5TKgwQaFOYx7O0v6zfyYUv5nSEPEFosKik6x2HPywqDFycL4Cf9ghYlaLsWXnXe80cAdeRtTjCCctVa/zn5ny9A4nrCCLXocd4JB13Cjlhkch53EZujihyI27vTMQ5jlBQcMJyHZW/Dv/lSxMcQtxoPLweuQ7U8+0Err/H0Qlaf88FEYmSPPMuDlfOrBu5Tihyc4De8cXNL0aUJ58TFpnn441v4bjiNIiYNzcf7O/hqIYjEbg6D9nIdW7egccJz8hpNf59nHRwrkoTTmxOMPg0OEXhFOcErX8NPFxn6R2anCbtHamSjk1uqU7kBkEee6fNescwygklceHaDQai9u3b+++Ql/PQ9g44PMuCO+8FyuWE5Trp8Ngfcdxxmnude8kLZ073degEgscOp60kOY/6yGnn8a18OMUvJU6cths5Dc47ClIfbn43ctpn/Ea6HeGElS6DE4yRGxz5NDhl4XDlNF5ft506darjtFZf/cYf/O7EWZ1824QnHLLcICF+JV/7cyZqj1cWJywyTOIbPuCWZfk83OAw3Irr3lnBfLkCVsFBjhcLlT3OTCdCoAAC2g+4DAMstBg0s+R8b6HPFJMmmWeY50veC+csEUKDxHxbDBXDG9oRS4bQiPg+c7s48mQlnK8w9yUddEJazN08ZwlWMC+GZxzRjJmzw5EpH7nfhtcGsRQ0xHSaL8/GPEMbB6cwXZAlr3w45UqPRQTM3OAj12M/9wp2WQkzMVoidVEsUQ+Ug3n5XPVZTPvLxUsa38svv9xYw48pPhCWK9opJmiWRPFt2mEuKkXZc+Wrey0HAc0Bl6Gui/GiLiZNkvV8nWZDBgLJPMN5Y3kr5vtpJ6nAC0dM2GlP3+RzBGoWorPPl0+WPEr5TjEDpHw45eItmGNzPeNevnaUKw0Dl8YIX/KkHvLl0dj2F/gO+DJtwrwuHvmY4usjBn/1CV/SlKLs9X1b91sGAi12DrhlVG/TlRLtM1/n1XSc6cstHYGbbrrJevTo4T3oBw4cWAcOBgP1WV7qvKgLIVACBGSCLgGIykIICIHaQgBTc6EpitoqkbitRQQkgGux1sSzEBACQkAI1DwCMkHXfBWqAEJACAgBIVCLCEgA12KtiWchIASEgBCoeQQkgGu+ClUAISAEhIAQqEUEJIBrsdbEsxAQAkJACNQ8AhLANV+FKoAQEAJCQAjUIgL/DyEg4TCvJziMAAAAAElFTkSuQmCC)
Run CSIDE on cell type proportion simulation
de_ground_truth <- c(1,1)
de_gene <- 'Astn2'
de_gt_vals <- 2:8 #cell type proportions
N_int <- 10
region_base <- c(rep(0, floor(N_samples/2)), rep(1, ceiling(N_samples/2)))
COND <- length(de_gt_vals) # number of conditions for DE
REPLICATES <- 100
alpha_res <- array(0, dim = c(REPLICATES, 2, COND))
dec_res <- array(0, dim = c(REPLICATES, 2, COND))
sing_res <- array(0, dim = c(REPLICATES, 2, COND))
bulk_res <- matrix(0, nrow = REPLICATES, ncol = COND)
for(condi in 1:COND) {
print(condi)
thresh <- de_gt_vals[condi]
region <- region_base
region[((1:N_samples) %% N_int) < thresh] <- 1 - region[((1:N_samples) %% 10) < thresh]
de_res <- sim_CSIDE(de_ground_truth, REPLICATES, de_gene, ref, N_samples, nUMI, common_cell_types,
UMI1, UMI_tot, sigma_init, puck, myRCTD@cell_type_info, beta, UMI_vect,
other_methods = T,region_orig = region)
alpha_res[,, condi] <- de_res$e_res
bulk_res[,condi] <- de_res$bulk_de
dec_res[, ,condi] <- de_res$dec_de
sing_res[,,condi] <- de_res$sing_de
}
saveRDS(alpha_res,file.path(resultsdir, 'other_methods_proportion/alpha_res.rds'))
saveRDS(dec_res,file.path(resultsdir, 'other_methods_proportion/dec_res.rds'))
saveRDS(bulk_res,file.path(resultsdir, 'other_methods_proportion/bulk_res.rds'))
saveRDS(sing_res,file.path(resultsdir, 'other_methods_proportion/sing_res.rds'))
Plot proportion simulation results
REPLICATES <- 100
de_ground_truth <- c(1,1)
de_gt_vals <- 2:8
alpha_res <- readRDS(file.path(resultsdir, 'other_methods_proportion/alpha_res.rds'))
dec_res <- readRDS(file.path(resultsdir, 'other_methods_proportion/dec_res.rds'))
bulk_res <- readRDS(file.path(resultsdir, 'other_methods_proportion/bulk_res.rds'))
sing_res <- readRDS(file.path(resultsdir, 'other_methods_proportion/sing_res.rds'))
N_int <- 10
ct_prop <- de_gt_vals / N_int
plot_df <- as.data.frame(cbind(ct_prop, log(de_ground_truth[1]), log(de_ground_truth[2]), apply(alpha_res,3:2,mean), apply(dec_res,3:2,mean), apply(bulk_res,2,mean), apply(sing_res,3:2,mean), apply(alpha_res,3:2,sd), apply(dec_res,3:2,sd), apply(bulk_res,2,sd), apply(sing_res,3:2,sd)))
colnames(plot_df) <- c('ct_prop','log_fc_b', 'log_fc_p', 'CSIDE_b', 'CSIDE_p', 'dec_b', 'dec_p', 'bulk', 'sing_b', 'sing_p', 'sd_CSIDE_b','sd_CSIDE_p','sd_dec_b','sd_dec_p','sd_bulk', 'sd_sing_b', 'sd_sing_p')
graph_df <- plot_df %>%
select(ct_prop, CSIDE_b, sd_CSIDE_b) %>%
rename(estimate=CSIDE_b, sd=sd_CSIDE_b) %>%
mutate(type = 'CSIDE_b') %>%
bind_rows(plot_df %>%
select(ct_prop, CSIDE_p, sd_CSIDE_p) %>%
rename(estimate=CSIDE_p, sd=sd_CSIDE_p) %>%
mutate(type = 'CSIDE_p')) %>%
bind_rows(plot_df %>%
select(ct_prop, dec_b, sd_dec_b) %>%
rename(estimate=dec_b, sd=sd_dec_b) %>%
mutate(type = 'dec_b')) %>%
bind_rows(plot_df %>%
select(ct_prop, dec_p, sd_dec_p) %>%
rename(estimate=dec_p, sd=sd_dec_p) %>%
mutate(type = 'dec_p')) %>%
bind_rows(plot_df %>%
select(ct_prop, bulk, sd_bulk) %>%
rename(estimate=bulk, sd=sd_bulk) %>%
mutate(type = 'bulk')) %>%
bind_rows(plot_df %>%
select(ct_prop, sing_p, sd_sing_p) %>%
rename(estimate=sing_p, sd=sd_sing_p) %>%
mutate(type = 'sing_p')) %>%
bind_rows(plot_df %>%
select(ct_prop, sing_b, sd_sing_b) %>%
rename(estimate=sing_b, sd=sd_sing_b) %>%
mutate(type = 'sing_b'))
graph_df[,2:3] <- graph_df[,2:3]*log(exp(1),2) #scale to log 2
graph_df$ct_prop <- 2*(graph_df$ct_prop - 0.5)
p1 <- ggplot(graph_df[graph_df$type %in% c('CSIDE_p', 'dec_p', 'bulk', 'sing_p'),], aes(x=ct_prop,y=estimate,group=type, color = type)) + geom_line() + theme_classic() + geom_abline(slope=0,intercept=0) + geom_errorbar(aes(ymin = estimate - sd*1.96/sqrt(REPLICATES),ymax=estimate+sd*1.96/sqrt(REPLICATES)), width = 0.03) + ylab('Estimated cell type A DE')+ xlab('Difference of mean cell type proportion across regions') + ggplot2::scale_color_manual("Method",values = c('#0072B2','#009E73','#D55E00','#EFCB00'), breaks = c('bulk', 'dec_p' ,'CSIDE_p', 'sing_p'), labels = c('Bulk','Decompose','CSIDE','Single')) + scale_x_continuous(breaks = unique(graph_df$ct_prop), labels = round(unique(graph_df$ct_prop),2))
p2 <- ggplot(graph_df[graph_df$type %in% c('CSIDE_b', 'dec_b', 'bulk', 'sing_b'),], aes(x=ct_prop,y=estimate,group=type, color = type)) + geom_line() + theme_classic() + geom_abline(slope=0,intercept=0) + geom_errorbar(aes(ymin = estimate - sd*1.96/sqrt(REPLICATES),ymax=estimate+sd*1.96/sqrt(REPLICATES)), width = 0.03) + ylab('Estimated cell type B DE')+ xlab('Difference of mean cell type proportion across regions') + ggplot2::scale_color_manual("Method",values = c('#0072B2','#009E73','#D55E00','#EFCB00'), breaks = c('bulk', 'dec_b' ,'CSIDE_b','sing_b'), labels = c('Bulk','Decompose','CSIDE','Single'))+ scale_x_continuous(breaks = unique(graph_df$ct_prop), labels = round(unique(graph_df$ct_prop),2))
ggarrange(p1,p2, nrow = 2)
![](data:image/png;base64,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)
Run CSIDE on null and non-null DE case
gene_list <- rownames(myRCTD@spatialRNA@counts)
N_genes <- 15
for(non_null in c(T,F)) {
high_genes <- gene_list[which(cell_type_info[[1]][gene_list, common_cell_types][,1] > 3e-4 & cell_type_info[[1]][gene_list, common_cell_types][,2] > 3e-4)]
if(T)
high_genes <- high_genes[which(cell_type_info[[1]][high_genes, common_cell_types][,1] < 3e-2 & cell_type_info[[1]][high_genes, common_cell_types][,2] < 3e-2)]
set.seed(123)
cur_gene_list <- sample(high_genes,N_genes)
if(!non_null) {
REPLICATES <- 500
cur_gene_list <- sample(high_genes, N_genes)
} else {
REPLICATES <- 100
}
e_all <- array(0, dim = c(REPLICATES,2,length(cur_gene_list)))
s_all <- array(0, dim = c(REPLICATES,2,length(cur_gene_list)))
de_ground_truth <- c(1,1)
if(non_null) {
de_vals <- (((1:length(cur_gene_list)) - 1)/(length(cur_gene_list) - 1))*2-1
} else {
de_vals <- rep(0, length(cur_gene_list))
}
for(i in 1:length(cur_gene_list)) {
print(i)
de_gene <- cur_gene_list[i]
de_ground_truth[2] <- exp(de_vals[i])
de_res <- sim_CSIDE(de_ground_truth, REPLICATES, de_gene, ref, N_samples, nUMI, common_cell_types,
UMI1, UMI_tot, sigma_init, puck, myRCTD@cell_type_info, beta, UMI_vect)
e_all[,, i] <- de_res$e_res
s_all[,,i] <- de_res$s_res
}
if(non_null) {
saveRDS(e_all, file.path(resultsdir, 'non_null_mean/e_all.rds'))
saveRDS(s_all, file.path(resultsdir, 'non_null_mean/s_all.rds'))
} else {
saveRDS(e_all, file.path(resultsdir, 'null_mean/e_all.rds'))
saveRDS(s_all, file.path(resultsdir, 'null_mean/s_all.rds'))
}
}
Plot non-null DE estimation results
gene_list <- rownames(myRCTD@spatialRNA@counts)
high_genes <- gene_list[which(cell_type_info[[1]][gene_list, common_cell_types][,1] > 3e-4 & cell_type_info[[1]][gene_list, common_cell_types][,2] > 3e-4)]
N_genes <- 15
REPLICATES <- 100
non_null <- T
if(T)
high_genes <- high_genes[which(cell_type_info[[1]][high_genes, common_cell_types][,1] < 3e-2 & cell_type_info[[1]][high_genes, common_cell_types][,2] < 3e-2)]
set.seed(123)
cur_gene_list <- sample(high_genes,N_genes)
if(!non_null) {
cur_gene_list <- sample(high_genes, N_genes)
}
de_vals <- (((1:length(cur_gene_list)) - 1)/(length(cur_gene_list) - 1))*2-1
if(non_null) {
e_all <- readRDS(file.path(resultsdir, 'non_null_mean/e_all.rds'))
s_all <- readRDS(file.path(resultsdir, 'non_null_mean/s_all.rds'))
} else {
e_all <- readRDS(file.path(resultsdir, 'null_mean/e_all.rds'))
s_all <- readRDS(file.path(resultsdir, 'null_mean/s_all.rds'))
}
se <- apply(e_all[,2,], 2,sd)/sqrt(REPLICATES)
results <- colMeans(e_all[,2,])
plot_df <- data.frame(cur_gene_list[1:length(results)], results, se, de_vals)
colnames(plot_df) <- c('gene', 'mean', 'se', 'de')
plot_df[,2:4] <- plot_df[,2:4]*log(exp(1),2) # scale to log 2
if(! non_null) {
p <- ggplot(plot_df) + geom_point(aes(x=gene, y = mean)) + geom_errorbar(aes(x=gene,ymin = mean-1.96*se, ymax = mean + 1.96*se))
p
} else {
p <- ggplot(plot_df,aes(x=de, y = mean)) + geom_point() + geom_errorbar(aes(ymin = mean-1.96*se, ymax = mean + 1.96*se), width = 0.05) + geom_line(aes(x = de, y = de)) + theme_classic() + xlab('True cell type A DE') + ylab('Estimated cell type A DE')
p
}
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)
Plot observed vs expected false positive rate
REPLICATES <- 500
non_null <- F
set.seed(123)
cur_gene_list <- sample(high_genes,N_genes)
if(!non_null) {
cur_gene_list <- sample(high_genes, N_genes)
}
de_vals <- rep(0, length(cur_gene_list))
if(non_null) {
e_all <- readRDS(file.path(resultsdir, 'non_null_mean/e_all.rds'))
s_all <- readRDS(file.path(resultsdir, 'non_null_mean/s_all.rds'))
} else {
e_all <- readRDS(file.path(resultsdir, 'null_mean/e_all.rds'))
s_all <- readRDS(file.path(resultsdir, 'null_mean/s_all.rds'))
}
z_all <- e_all / s_all
p_res <- (2*(1 - pnorm(abs(z_all))))
alpha_vals = c(.0025,.005,.01, .02, .03, .05, .1, .2)
enrichment = numeric(length(alpha_vals))
se = numeric(length(alpha_vals))
N_trials <- length(p_res)
for(i in 1:length(alpha_vals)) {
alpha <- alpha_vals[i]
p_curr <- (sum(p_res < alpha) / (N_trials))
enrichment[i] <- p_curr / alpha
se[i] <- sqrt(p_curr*(1-p_curr)/N_trials)/alpha
}
plot_df <- data.frame(alpha_vals, enrichment, se)
p2 <- ggplot(plot_df, aes(x=alpha_vals,y = enrichment*alpha_vals)) + geom_point() + theme_classic() + geom_abline(a=0, b = 1, linetype = 'dotted') + geom_errorbar(aes(ymin = alpha_vals*(enrichment - 1.96*se), ymax = alpha_vals*(enrichment + 1.96*se)), width = .005) + xlab('Significance level') + ylab('Observed FPR')
p2
![](data:image/png;base64,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)