Maintainer
Zilu Zhou zhouzilu@pennmedicine.upenn.edu
This is a demo for using the iCNV package in R. iCNV is a normalization and copy number variation detection procedure for multiple study designs: WES only, WGS only, SNP array only, or any combination of SNP and sequencing data. iCNV applies platform specific normalization, utilizes allele specific reads from sequencing and integrates matched NGS and SNP-array data by a Hidden Markov Model (HMM). Figure below shows the overall pipeline. This package specifically emphasizes on the steps within the parenthesis. Below is an example on calling copy number variation using whole-exome sequencing data and array SNPs of 46 modified samples from 1000 Genome Project. Only small portion of chromosome 22 are analyzed for illustration purposes. We will separately shows normalization for WES and SNP array. We will also introduce integrated calling procedure as well as single platform procedure.
NGS | Array
BAM BED(UCSC for WES or bed_generator.R for WGS 2.2) | SNP Intensity(in standard format)
|----------------| | |
| | | |icnv_array_input(2.4)
|SAMTools(2.3) |CODEX(2.2) | |
| | | |-----------|
Variants BAF(vcf) PLR | Array LRR Array BAF
| | | | |
| | | |SVD(2.4) |
|bambaf_from_vcf | | | |
| (2.3) | | Normalized LRR |
| | | | |
-------------------------------------------------------------------------------------
|
|iCNV_detection(2.5,2.6)
|
CNV calling
|
|icnv_output_to_gb(2.5,2.6)
|
Genome Browser file
We strongly recommend combining platform when both WES data and SNP array are available. However, for high quality WGS data, SNP information isn’t so necessary.
2. iCNV workflow
We could separate the basic iCNV workflow into 6 sections: 1. package installation; 2. .bam file normalization; 3. sequence variants BAF calling; 4. SNP array LRR normalization and BAF; 5. CNV detection using iCNV_detection
function. 6. CNV detection using iCNV_detection
function with single platform. We will illustrate them one by one in the following sessions.
2.1 Install iCNV.
Install CODEX
first
## try http:// if https:// URLs are not supported
source("https://bioconductor.org/biocLite.R")
biocLite("CODEX")
Install iCNV
from Bioconductor:
## try http:// if https:// URLs are not supported
source("https://bioconductor.org/biocLite.R")
biocLite("iCNV")
Install the current release from Github:
install.packages("devtools")
library(devtools)
install_github("zhouzilu/iCNV")
2.2 .bam file normalization using CODEX
For researchers work on WGS data, you need to generate your own BED file for CODEX normalization. We made a function bed_generator to help you with this.
After you have BAM file and BED file available, follow code below to get normalized NGS PLR. Code modified from https://github.com/yuchaojiang/CODEX with permission. If you have any additional question, please refer to CODEX
. iCNV only adopt normalized Poisson Likelihood Ratio from CODEX
, representing NGS ‘intensity’. In this example, we utilize toy data from the 1000 Genomes Project for illustration.
### 2.2 code chunk number 1: bambedObj1
library(CODEX)
library(WES.1KG.WUGSC) # Load Toy data from the 1000 Genomes Project.
library(iCNV)
# Assume your work dir set to demo
dir <- system.file("extdata", package = "WES.1KG.WUGSC") # 'PATH/TO/BAM'
bamFile <- list.files(dir, pattern = '*.bam$')
bamdir <- file.path(dir, bamFile)
sampname <- as.matrix(read.table(file.path(dir, "sampname")))
bedFile <- file.path(dir, "chr22_400_to_500.bed")
chr <- 22
bambedObj <- getbambed(bamdir = bamdir, bedFile = bedFile,
sampname = sampname, projectname = "icnv.demo.", chr)
bamdir <- bambedObj$bamdir; sampname <- bambedObj$sampname
ref <- bambedObj$ref; projectname <- bambedObj$projectname; chr <- bambedObj$chr
### 2.2 code chunk number 2: coverageObj1
coverageObj <- getcoverage(bambedObj, mapqthres = 20)
Y <- coverageObj$Y; readlength <- coverageObj$readlength
### 2.2 code chunk number 3: gcmapp1
gc <- getgc(chr, ref)
mapp <- getmapp(chr, ref)
### 2.2 code chunk number 4: qcObj1
qcObj <- qc(Y, sampname, chr, ref, mapp, gc, cov_thresh = c(20, 4000),
length_thresh = c(20, 2000), mapp_thresh = 0.9, gc_thresh = c(20, 80))
Y_qc <- qcObj$Y_qc; sampname_qc <- qcObj$sampname_qc; gc_qc <- qcObj$gc_qc
mapp_qc <- qcObj$mapp_qc; ref_qc <- qcObj$ref_qc; qcmat <- qcObj$qcmat
### 2.2 code chunk number 5: normObj1
normObj <- normalize(Y_qc, gc_qc, K = 1:9)
Yhat <- normObj$Yhat; AIC <- normObj$AIC; BIC <- normObj$BIC
RSS <- normObj$RSS; K <- normObj$K
choiceofK(AIC, BIC, RSS, K, filename = paste0(projectname, chr, "_choiceofK.pdf"))
save(qcObj,normObj,sampname,file=paste0(projectname,'plrObj_', chr,".rda"))
# This saving step is necessary for large dataset, such that you don't need
# to recompute everything again if you would like to view your choice of K
# plot. You could just load this as in the next chunk of code.
CODEX reports all three statistical metrics (AIC, BIC, percent of Variance explained) and uses BIC as the default method to determine the number of latent Poisson factors. Since false positives can be screened out through a closer examination of the post-segmentation data, whereas CNV signals removed in the normalization step cannot be recovered, CODEX opts for a more conservative normalization that, when in doubt, uses a smaller value of K. For example,
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Dbeo/Xv0bAYZe94fXbzB3ODq357bVe/x4Bh/1zmdZ7JF0eBhAnx9Z8JfGYOUBtcoWZN2IGKVm+cO6s6bPnLVpj6nbuc7z+JQKOy37H0NvF3xwdWnNjU69/i4DjWrs6rr2XAcTBsTX/7u7vDPDCfkbehhmibPHokzvUqXjtjXoMmbrFQNlmHv7+AJfcaOCt4n+ODq05x+vfIeACVztKeRpAnBtbc6gHvzfAZfsYeAtmiKKx+8S//rxBiUexSEcT939tgNuGGXgP+p+jQ2vO8vhXCLjhU503Sbo8DiBOja2pAsghw2KdVjf659z80rgHAJniNBGkADKrReKDZfal2zUrqwByrte/TB3HZkf/QNr/w+v2wG86i6AEEEeH1lQBpIFLv7KT6kS/qVtd6dJuEXB1AhdAwkyPrakCyDWxKx/KsZ+8NJtnboeAu/4XpAAypvwkO6dZh54nDujdtVWD8nfx4ev0SqsA8qGZVnqh9KKYSNZ5pddNgs8MDkwAcXRoTRVA9tSqkLIbYt7Ubb5xZ78IuF0CGkBMSxRApmSpt3L+yQ88/8xth4UTyDIv2gYYEKQAMiP0dm07fMa6ys5hxd9OHFygVveLn/c4HRkeQIaHfjSNz3t0ytPX7Rf690FbvW4T/CU4AcTRoTXdCyAPh5pb//SHJk+8sWvo3/toXmYBUkEAMSNBAPle/WzFWZE7vD4Iva8PLHG/aYAJAQogW9TwM22mxweNwrvVTZVjtYpndgB5VV1VyRm+KbRQNjl0o9qFHrcJPhOgAOLk0JquBZB5uaq5l60NL83YN3SZxY0dI+iCGUDMj62ZIIAMVG/jURWLhSeq5acM7Q9wWYACyAR1XX9jwk2fFgjRUeuokdEBZKf60iP/tYrlnw+Qy9mfe9gi+E+QAoiDQ2u6FkB6qTfxhIrF9T1V+2e4sWcEXOACiENja8YHkIXqUuHlUSsK1e2irfRu3wC8EqAAcpwQucuTbBsvNMcNdDuArP9o2pQPTPXTeDr2KsqP6uWcYqg6aodABRDnhtZ0K4C8oRp8R9SKta3likNc2DOCLmABxLGxNeMDyI1yTbPN0WveUzubq70rwAsBCiDthBiQbFuRPNmYrFPc1QCy9YHDw93pO9/0m4l6x8tSR9jW3K+OoJtM1LasDXNfeWb2t2ZqwTsBCyBODa3pVgD5m9zPfrYReZ5XL+RHF3aNgAtWAHFubM34ANJdrrnB/qAD5arhmjsCvBGgAFKvqvdpVyHu0ynuZgCZsEflQa7BSP1R/7aqLjAv2VYVql64L2pXtqyd444J3YouWl+pNXsCPBe4ABJmemhNtwLI7nI/j9jWlKrjxsMu7BoBF6gA4uDYmvEBZJf484yb5Kq/6u0H8EiAAkgjIa5LurGzEGN0irsXQIqvtF9nOWqtbsUl6uAZc8uq+lLkTt3CljW9XWVD61y+ufonwLcCGkBMcymAbEzwdYcaa/vyxA8HzAlSAHFybM24ABJ6V6+yP+gpuepPWrsBvBKgANJJiGOTbduYrzm8v2sBpPSv4dP5XfbvFJl9vavuef0cWaRFzLrLTZyrlI2yzW4oOv+kWxHeIYAY4VIAUVcVsmO+uLlDrjvV+V0j6AIUQBwdWzMugKxVH6MxVxz/K1cdpLUbwCsBCiBnyZf6SZJtI+Q2rVuEXAsgN4ZO5U9+q1jNizY0dHtT/9Qvs2xY8v6Lj9562bkzo1eq7qqtYh54jYiZ8KDkjVc+WpHmPa1Xh3NHvf27twz/q4WRu+jhiUAGEPNDa7oUQL5U3znGtPleue5E53eNoAtQAJkgHBxbMy6AlKqRtmJGy7lbrjpJZy+AZwIUQF6XL7Vl4pEpJmQJ0VOruFsBZKH6TqHBtPLFz9TINmJSlU/Z8csXr08c/X/nH3/gnnnl30XkLIh6QOhcJeZi6Wly3a3RK04JPa9p576Dhz/04oc/bkuhrf8OPaX3DBVblt4YGlPoQKY3zFhBCyAODa3pUgAJXSuNmcv9qtirCoATAhRADIytuWX00CQOiA0glprNZ7T96X3kqitq1njAYwEKICVqxOz8Eb/Gri9b0F99WGvdgeVaAJHHO5H3fuXyCtXXtG38NxObv/vwlcduu+K0I/ffVSTyeNRjN6hQM8f29BL1xfJ/olasii3QpOOfz7t+zOT3v08aKdaou2Dzxle0VI3WYQ81yCTBCiCODa3pUgAprR9/ZaKTsA/MCzgiQAHEwNiapyT8hC53pO2xf5drOtkmPv9e3QXxvxq2HvBWgAKI9Y0a2knk9hs5c+GKLeqr0eL1S+dPuqpj6H2ueWXQpQDyk2rqqOg16nsdMS16zY5hh7aqW+UxTYj6S6OfoaYoG2Tbz0tyTVZ0Z7ei3ZLWanDA0edc+8Cz7y6JiUGXqRovVC5v7ixXFMTlP2SIQAUQ54bWdGsUrFPlfo6xrflIvYAFSR4OGBOgAGJgbM2qP6ztvTNnq1WPRq0oO0l9BBfVsPWAt4IUQKw5UWfRuc1bN4x6mw/WfAu7FEDGyN3sbm/qkXLVhdErRlZ5PGvc4Yi/Xn67/ULuPerMKnouoy3tRezIGvP6tq0u1ewyMfoJ29Sn0KXRa5aoazUx3x/XUNH/rh7Q89hz71xkpBpSEaQA4uDQmm4FkGdUY6O/1t3ZQ65oY6orC5BUgAKIgbE1T6jyU7Wd7bFlh8pVeW9Xrgj1Cb2lpq0HvBWoAGIt75f4Td70cd3PZZcCyEC5m0vsqx6LPUgNint5dfbodtx51947YcaClQmv3/6hglnLyjE7d4S+FJ4W97gNi9965p6rzzyy/S6Jf4yNonvDv6qOlGtsz1dzo9m/Ua6ZP4YVlO+yc3wr4YwABRAnh9Z0K4DsULeQNay8Bb10iGr841U8AzAjQAHEwNiam+5I1geksfw5Hmh/8DtZ6nP14UiXzd/PU2/q3RnfHhkqWAHEsj4eWD/uvLnL6ELtui4FEHWz1FP2VZ/JVfWiV8wKz/xX0O7w/pfc/PAL731T/SXbB0IprPxG0h96qcWjqnrCpm/eefb+fww6av+C6B9k4+hTs+vlir72Z6lzr1z9Od1et90O9pf12gWRiuAEEEeH1nQrgIQnPi/4byRCrVK3aoj9Dc6oCCQRoADi6NiaB8QHkNC8g/KNPOqT1cve+kfj0PXFd3X2AXgoaAHEsrbPvumMbpEbKvJa97l8vJGhYV0KIGoQjOn2VT+rF2K7BLJkwv8+XpHKMFUVSkNnJ+KIJ7787dtpg0NjZe2+IrWnFn733nMPXnfusQc0Eg2ei95wjixyo/2xiaZRSt9DOfb8uO93uhWRiuAEkAnCwaE1XQsgoXkH5QsZ8/mapTMvDX1pWfCV7QE/vbrBlYYgYAIUQBwdWzNRACmNvcMh56mEzwUyQPACSFjp1rWrNxq8HOhSADlY7uYZ+6qv1DUQvbtCLGvTwTFHtYZzq39SjG07bYt9ZZUHYx6ioo1tXMLSZb+lezb3fFboqk+f2596+JrwPOvtfk+7rUhfcAKIgaE1k3MvgOzoE/Omzrdfu5hZR9Q95x06hcC0AAUQR8fWTBRAYqf3bfCq1i4ALwU1gJjmUgA5Kf4k8DkRP41g+orOsX+r8LV2xTNE3KC7hap09Jndbx2FyGnZte+5qoPKZ7/sSKHs4tBQZqeH51Qvezk0D8px2o2N2PD+8+OnzU+lGQEUnABiYGjN5NwLIFbxVbY3dbP37JtDZ0ii/d1rEj8bqKEABRBHx9ZMGEAs6/0/Vbynsy9gbl9kMAKIGS4FkFvlbvazf92h+qWfql+57PnKeQ92uXGTfkE1DfpA+6p5clVW9On9nTGXaHc94Kgzrrx93Ksf/Zi0V07oZrHKgYh/O0wtz9BvrmWVTPhzuPdMo7M+MFGvtglOADEwtGZyLgYQy5rRueK9lXfl2piN10S21BnwWknCZwM1EqQA4uTYmkkCiFX2ztUHyINUk553cfsxMlqgA8jGafdd968HZ+h3QXctgHyhDmu26cW+Ut/HTkz2+HTsmHpBmzwhdu871shcHc/KdhXYp45W/dK7Ra8YI5Kqv0/PUy5WfejtEx2qDCOujlrxW6skB+l0vdMpau/9ua4UJzgBxMDQmsm5GkCsktcvaZcvRNPe98f36do8OL/8732vm5e51iTUeoEKIA6OrZksgIRsSqubJ+BHQQsg397y5/IxI744NdKbOe90/ekk3JoJvZvcT7NllcuFakXjP4zV/93Y/Ucb6siW3Ra95lfV9f/W6DVbB+QkPnZH2eOn6Geoq7Z72DLJZPUg/QtB4+rYPzzMjSyy6eUH/u9fD72e8R8XwQkgBobWTM7dABLyR7LJE/8Y1638Dz67z8SM/wuFTwQrgDg3tmaVAQTIfMEKID+oG3hmhv5ZeltW1NHiX7r3ILgVQGaq1rarGHVjXW+1fI8LO06fujes7rzK5RJ1oSg3ZljC4tVfznzm/uvOP777HnVEYra7YVS38zttFcpUNxDt6Q3vDe+roPORHcKZKLrlOj44Pi9cuv6Z+v1qPBWcAOLo0JoeBJCqLBhaMZJ2k6Ffet0a1ApBCyBOja1JAEEtF6gAMjP0WRsKIGWX2c9y+2smELcCiHWaam2D20MDP20bv4da6urPS5ffqh4VTSs6vhaGWn5pFU9Yt/jdyQ/fNOSUnnvbJjp8IOohO1RqjDlNUr/JizTb+lpoYJHDXlX37K57NPRTbfmLZk1l/YCoF5Iz1J+/qBQFJ4A4OrSmzwKIZW2eWDla1sHjtlT/BKBqwQsgYabH1iSAoJYLUgCZH77GHgog/w79s+NZt9w/5E+hS97Jb/pOiWsBpLB7qOW5R5x3wV/C5+nRd2T5yg2qdXUuD918vmNyaMjcvX5L7amFP8yd9sRtV5x25P7NbR35VqgiMedIo+Wq421rfv7061/S+v57216yRvbd5bfsbg6ND3RWOhUSW7yvPeYeqj0JioeCE0AcHVrTdwFEWjysafmfaMOhjMAATUENIKYRQFDLBSiAFKtT4JzLP1KnmVuayX/vOzV8xrlQzfydpXf7gWsBxPq1p/2kdm/f3jcRmd4wq/sZF/QLjw1Sb4Fmye9UPft8I9ajct0x0SvGhxJlnWbtD/3L6UP/edfYSTPmLl5l78se4271hKhJS0Itz9L+CP25RehV7/KXC84/Khx+OxkYXixk++s3XzTwolteT3Z3vwOCE0AcHVrTjwFE/j1N6VNxS2rHUeu9bg4yGgHEDAIIarkABRA1LFOLSEhQ04kdXHElvVSdW/1Vq7h7AcTafkVuVP7oHzu4po8UDrRnJf2e3ZtUmZjxfIbLVYOiV+wtEslrvt9hfc8YOuzux5+fOS/m9io1AvEJ0Sv+UFeEh2o2dvuBar8tx4Wyzx93NVJLp2jWDFtzWeR2Y9Hg767N4hCgAOLk0Jr+DCDS98N2L3+NdU+fzfyEqLEgBZCj2rQ5SqtTWBUIIKjlAhRAVB+E1yL/7i9E1leVmza1lR+6VV4jr46LAcSylgyKdBzN6/de9Y/2UNnd0aOD9P6p+mdUp7GIG3RYzcpk66jeI2EAscmyDc/1pVr1ua3oPSo6aM4vf78qe0RFQFy6v1o2MW/t2OifasFjBiqmIkgBxMGhNX0bQCyrZPbpFdc29huV4t2SQKwgBRB1l23BM87UJoCglgtQAGktRI/yf+8tRMfobRPlj+HN6kssHTEsibpuBhDLKnrzoX9d+8DLG93bYw2tvqJ5+IQmp/d0E/XU/Oq9bWu+Vv3H34les+jwxtUmkNzojiSPqxMu+36WqxtSlmo1dZO6it55c+WKleqOrI7al5ZLLo15LZe6M41coAKIc0Nr+jiASKtGtS1/sTl9phjsT4sACVoAEeLczdU/Mn0EENRyAQog+UJcVv7vejF9jH+RP4Z/V1th7a5VntS+4UCjM1/p3PG3Xv/gi+vMVHtO/aCnRpfvq65Lx50pbfjp8zlT//PALVedf8pRXW230IQ1iO48cbNccXZMAdVJyPb10vy/XzD0mmG3jXp43H+nvDZ77oLFP67eUOXdOOqWv6zPote8pPY8P8VXmtQ/wgnq2Gvu+sex4QvW1+qWTEnAAohTQ2v6O4DIN9Ts0/PK3yV7DlvmdXOQgYIXQMS+ycbt1kEAQS0XoAAiz0JvKv93Qcy5VLGInV4ikelV5g9xswONht0OdbxvFNXv/l/qJ39XdU8r/f3HBW+99OTom64496QjOu/VuM1L0VvVQL5XxDxDHfujH/TLLgl/5/Wa7LFPp4OP6HPy6ecPvXqGrYL6suZk25oyNdn6Dam90KRUrhHZka4fay4LjR88SbNmSgIXQMJMD63pSgApeeBcjcshG8Z1Kf/7zu4zZWeih+xc8t6rH5sYqBq1UNACyJ25QuTebX5AEAIIarkABRB59ndO+b/3E+K06G1r5Y9hbLUVVhWIqoxxoNGIEZr4vOGLkaU/1Fmx2Eur+054vOBzYtapDrlzopZfqzp8htkGaFWDrk2wF1VftfTVa2thSxV7plUsv6IGbNpD/86g6gU0gJjmSgCRf2g5X2g8v+y98+qV/1G3ih+6bsZZoREVRPvrf9DYCWqroAUQa4Hq39f2Oc1Og3FSCSBvHHM2FwKQqQIUQAYI0aj8RO0MITpEb3tF/hheqb7EZ1cOTUJ9HD/uQKMR68LQqU+v8Uu3rZ03PDRYUZ7uzAWPyCJd7KtWqz4g30at+L15CgHkkugS9eM/hV+Qqzrb1rw+6sFxk1+d/enXP1Z9P1eFUWo/z0etCN2UNiql51Zn56yrTuze5bhLpiWcMJEAYoQbAWS1OgOs/pbSKv3xaPfIX/VfYrZ8dkTlX3zelaYGlkbtEbgAYm29XL0bDpxttnYKAeS3uvFvUCBTBCiAqLO/8rvlpwqRtbhyU5maC1hrjKYsAohLth8Tc9afM6H6J1VtvohJG+HJRXaz3Xiz4s5hVww95/QT+vQ8eP99dm+SJxKYHPX4HWpFTDf2N+WqvaJXjI1+dlaTPdsdfFS/0y/8+7A77h/3/LTZ87/6cX3slzvq5pgBtjVqcryuNXvhNtsfrJiNruDmBH0qAx5A2rRpc5+JOm4EEIjNf+MAACAASURBVDVMQe6P2mUWXBrqPHWsfe3ketF/tKJ94injEWDBCyCWNTM06VPfz6t7fDpSCCCfyIdkuzYUO2BWgALIdtWv+I7wt6Q75Hnc0ZU3N6thkA7TKk4Acc2Ov9lOgBroD2xbtoeIGZQgNDX6+VU/q3DDLz8uWvD+7FenTBj34Khbhl156Yu27Woorrn2p/xXrjooesWfE8UYu0YPRz/hJ7Vqnq3oPLVqWUovtCqL20fvdff34x4Q8AAiX/2NJuq4EEC+V7NeXlL946pX+HSvrBb2P7fHIn8hzfeJjBLWVG+wONQ+QQwg1roLQlN5/nWmuUEJUwggO9XHzDhjewRcFaAAYk1Tx4cj3wqNg/pZvhCnRi7zbvo/1ZNXbyhvAoiLXtqv8luDQcsMFLxRlfpv1IpQ1xLNaRPVvNkP2lddKWL6pQ+vPoCInFVRT1DjILSwj+Rbpi69aY9xPLuRfa95E2MfQQDJlAByptxFvZWGim2xd8B/KzTw2n5PqlHtvhoWyiAHcBcWbAIZQOT74fjQoXPPG031jEqlD8jZ8jHHGdof4LIgBRDrutDxof2VL31dZL0rT7ia/vP5r5e8dIvq1itO0pufgQDipp0vnavOuvO63rTISL2N6uaj/IpbuXaGuvScqFn0EhE18UzI9j3lqnuj1+y4+9Q+Pbru0zR+yoko0ffSjFMZOmZHR8l1T2g29uvQzTZZR9z53+dG91MX0EVu7P3MBJAMCSAL1fWUfzlTu6i1+tu4vvzL458PVYtXO7MvZKqABhDLevvg8CH76Gc0x0UJSyWATJGPqfOHib0BrgtUACl7MKf8pK6gRQPbSd4Rv+uVJoC4bfuKX80V+2/oj6B/6ENzx1Q1Wq5o/L1mzddVlWnRa0arNUnKblzz42cfzp4y8YlRt/xz6LkD+/Tsvk/z8J+obYDg+xNc7zpBrrN1T/j4vLOuGPHo5DlfrU44hGoCRWrILtEzMt7R0pPU0q4xdxYHJ4B8OzsB+eoHRf6pVdz5AKJmxmmseTxL5j71l3F75fLWQ9SFAP3uJqhNAhtArNLnIxN51j365lnakxOmEkC2qDmQn9PdE+CJQAUQy/roqITXmLMvSW0IouQIIJnt+vAfQqsTzjg6fC9SzkzdkjvVjWJNo87NPsqXK/qkVWPzbz/aY5aaBaR7zIMOFPb7x9ZHZetG7XuefOH19z39v3lLq7pR5l712LN3lC+W/VMtx/QiCE4AuTrhQaKSVnHHA8h7qolmhkWL10bW7hv9ZfEKdbLp0NctyFDBDSCWteOFilFSsg++5uVkT0tJSvOAqKtFp2vtBvBKwAKIVfbWmY1izyfqD9IfyMW9AFL05Y7qH4Q0ld2aZfubKJha/XOq86IqtEfFzOfT1V1O2Z9V9YzqvStr1NlgW/WHumMqur/KR0nOm/P26Prns68Y8egL73y12j5i/bYmcnOvqL+rsrPkitzltgcRQDIjgPSUO2hp5A6QeF+ol2//E1b3tR7gzN6QoYIcQKQlVzc2c6xIKYA8pT6udC+gAp4IWgCRdr5953mHNAnfjJXX/uTrZ5h487oWQH7aS+y72o0dBc0Le0SdYh5mom9J2emqVM6F88ssq/jt/qHCuteKi9RcmI/ZVj0W+wG03TaeVWKtbecHr6poZJu4bq1KS/aZNYMTQEZncgB5SbXQqWFxxsja+9tXfa7295tD+0NGCngAsayt/+nhWgBZr4aF0B6EBPBCAANIWNn29av+SPUW+eq5FkAukzu6w40dBU7hXfuHPzNyjnpBb0SCclsjXRIbdTog0sv8FO25cv8qq+yxMWrFRjWGwkDbY35/7IYhA47Yv2Jaj0Rst4INjV0R7kL/Z9ua4AQQa1KoS37Pi6LJFd0i/0ylxGvDklBDVO3hXNNL1OBr7c0d2OzUrXkX2FeVqWlBNL/XQ+0S+AAirX76zCauBBDraPmoC7X2A3gksAHEMLcCSJkaSOnB6h+HmvjuuQduemTaOmP1Np9iP+s/R//Ltg9UneMrTzB3hoZ+TDwXfMlvi997+fGRV5/T78C97LPHxcwupz7CHrA/V30pYpszMUgBxFqmJvvOfyg6Loq0RsF6rqrwJ+oYb3CFf6v6U5yqfoEs/s+YdapbyOtO7RCZiAASUjLv1h5JNqUmtQDykIidNBfIEAQQM9wKIAvU+cW31T8OvlAyKqrHUcv/mCgZyjTHlI9QtUZlB9E/hecVLp8/45kHbriofy/11Yh9drkOssYr9ocvkqtybd/XBCmAWCUj1T2afaOmYEkvgJxfZQDJMt/giKJWsvzBZr7AS+AqET/DYYIJNxFsBBAzUgsgK9XJxztOtQFwUMADyPYf3v/SyP3LbgWQW+V+2rmwHxiy7tZuoXPO7J73FxopuCrUV6XgnwuKreIF/1RdQsSeq6p/mk3JBvtsvWroyNfsD/lOtdl2J0+gAohlfazOLHatHMUmvQDylEcBJDRM7izHyt8lqx9lX7VK7XGZY3tEBiKAmJFaALHUnb5XOdUGwEGBCyBrPpj67vLwFcKyGaHLx2K/a/VnDXYrgKghV//Phf3AnFUfTpn60Xpj5T4pCJ/FZjfJDv+j4BPdkmrgpJh+y2/LVc1tawIWQKzNF6of7kXlg/mnF0CsZ4cmcZgslONEe5WNu8nqvZ2qbllvqMbbr9g8Klc1K0nyeAQSAcSMFAPIHfJhezn2rSfgnGAFkOInw5eju6ubpMsuq7giWfcu3bevSwFkldrPu9U/DrXYV3vbLqfvtUC74tmyzJn2VTfIVYfZ1gQtgFjWi6oX6T4fhRfSDCBJjXIygKjfWta86h9XUzvV/VbXRK8pUl1A/ubcHpGBghRADsjPz3esdmoBZLH6GND/FABcF6gAsvqQirO228Mf1hXO1xyeyKUAooZc3ZX+ZgG37rLcij/cOpcZ6DM/QRaqb5v4PNSX4Bbbg4IXQKyVak6xnBGhN1wmBJDf1BSUpzlUPORi9Sf3dtSK0FWcOU7uEhknSAHESSkGkFAfPiMHJ8BdQQogm9pFJY4XV4RO4lr23i98I8s9erVdCiBqyKNznN8NfO77GzqF/mo73fC9iXLr1VyGg6PX3Kaqf257UAADiFV6j/rJ9FhqZUYA+buq/Y1DxUNWqtHUGr9VvliqxuUV/ZzcIzIPAcSMVAPIMPm4jo63BjAuSAEkdE93drtT+qlbWPYdIkTWv9bK1UVvq1vgc37Squ1OACmsK3cz2fHdIANs/ubDbzZX/7DUqDPX6IF4p6oxoI6zPyaIAcSyPlNXF+s/WZYJAeSnPFn7Ymdql7tb/aXkXhEe9uD9XmqpYLGzu0SmIYCYkWoA+Vi9DRkbE5knQAFkmfqq4+QV6p8L9gxdP34ksmXnOXLhMq3i7gSQV9QNEH84vhsEza+hmfeuiASaHXeo/JGz0P6YYAYQq1BNyShOXZcBAUR15an7szO1y5WdFTp0Zve88Nqz24T/OdXZPSLjEEDMSDWAlO0lHzjK8eYApgUogIxUXT0inc1fU5+cHSs6U2xrK8SuWr1A3AkgfxOx01MDJkwL3YjYfNi7K3756Pa2oRPL2OkuAxpA5M9GDS3Vwv8B5Ev1O4ydJtC4orOFTf5Ep/eITEMAMSPVABL6BltvzkPACwEKIH8Rokl5h93i5vJ1P1m5bbRc/EKnuCsBpFSdBY1xei8IotFZ9vNK8ffYRwQ2gFir+4Z/JD4PIMep7hnmhntOpuze+lF/JvvFjLlVZu6+QGQqAogZKQeQ2fKBWQ5/9wmYF6AAspcQAyoW1GguH1VuU7MePKtT3JUAMk994i91ei8IpCm7RMePnPgv9IMbQKzSMfn+DyDvqybe5UTlWKsuaxL5M9n/sZ32TTv7iF2G/e5GI+BfBBAzUg4gxU3lIx91ujmAaQEKIPKoOLxiQc0oHjWh1hrdrxZcCSBq4GAGu4Azvj+t8kuQYxOMKh/gAGJZX/Xr1avXuOofVz3HAsjhsnDLQicqxyt+64Frh978eHy/1xnqr6fRyC3uNAP+RAAxI+UAYp3PzdnIRAEKIHWEGFmx8LB83VGTDxbKxTt0irsSQLrInfzL6Z0gsL669ZCGQuzS5fqPEm0NdAAxx6kAMlW40g2tGh+GA2zzB4u8bgm8QwBJx7zuTZJQY4F0T6mGGp4m18CMUICrAhRAdhfivIqFZ+Xrjtr2hVwcq1PcjQCyXH20z3V4Jwi2rUlv4SeAGOFQAClRE8O03WG+cJpuiMyR2erfzJcaWASQdERPTxavVUo1tql+WQwHgUwToAByUPTVhF9nzpwZte0F+WOYolPcjQCivrVpVuLwToDEgh1Atv/w/pe/Vf+w6jkUQJ5SJyt+mCJo2dCc8JnT3uM4VgUUASQdjaoMIC1TK3KqiO7iCmSGAAWQa+RLfS/JtoFy2zKd4m4EkL/IfVzg8D6AJIIWQNZ8MPXd5eHbNMtmHB06Gdjv2pXaZZ0JIEWtZdluWiOJG7P49Ehnok5Tyqp/NGofAkg67osdgNCmU2pFnpEPredSDzDAlAAFkDnype7+ecJN09TtC1ofli4EkC1qJJ6Xnd0HkEygAkjxk91CH//d1feiZZdVnA7UvUv3nNqZAHK/atwbxsvW0Md/jvy4erzldVPgAQJIWn6anYS6qpBaJ3Trjzz5WKYERYYJUAAp+5N8rXUumPZ17HWCovvqyC0PaBV3IYBMkbvIZ5B9eCRIAWT1IRWR4/bw6HMVztf8msGRALJZzWt0lOmqGj44MvLj6vW+102B6wggZqQ+CpZl9RHRfVyBjBCgAGItKoh8KM6JWvnmzf3VGNqivd7IkS4EkPPkLvo5uwsgqQAFkE3R/UJfXBHqV92y936h2eLFPXq1HQkgN6mGJRy7zDOzD4z8/PpozfCKDEQAMSOdADJWPrax94NQAOkIUgCx3to1/JE4O2pdj/Cqxl/plXY+gJQw1xC8FKAAcqE6JGS3O6Xf3vL/+w4RIutfa+Xqord7qvTwk1ZtJwLI2gay6F8NF9VVOqV9+Niaffr3XrcFriKAmJFOAFmVFXNmA/hfoAKIteLMnMQBpKvu/OLOB5DQRMfLHN0FkFxwAsgy9VXHySvUPxfsGTo+PBLZsvMcuXCZVnEnAsgVquZiw0X17ZzYNhxB6gz9xeu2wEUEEDPSCSCWusP87062BjAuWAFERpDHzj6kzTtRK2QAye71vPaAkc4HkOvlHro5ugegCsEJICNVV49IZ/PX1Al0x4o5LbbJU+pdtXqBOBBAlqnhKS4yW9OMHeN2D0eQvKG/et0WuIYAYkZaAeQe+eA9/DEOHpCioAWQOA+P+d8GA2WcDyD7yz3c7OgegCoEJ4D8RYgm5bMKF6vu3U9WbhstF7U6NTgQQNTXMnVXmK1pSuGoxuEIUjDsD6/bApcQQMxIK4AsVe+yeU42BzAt8AHEEMcDyA/q8PKJk3sAqhKcALJX9JxeF9u7d78tF5/VKW4+gHyl7hi7zmhJk34ftks4guw6apvXbYErCCBmpBVArE7y0f90sDWAcQQQMxwPIGqg/935ghWeCU4AkedPwysWbpUvO2oK9DVycYxOcfMB5ARZsdF6oyXNWjssPxxBmo3a7nVb4AICiBnpBRA1FF47B1sDGBfMAFKyfOHcWdNnz1u0xtRUvY4HkKPlDoY4uQOgSsEJIHWEGFmx8LB82VFHiUK5eIdOceMB5AOh2yTnrRiaE44grcdpd7eD7xFAzEgvgHym3mBfO9gcwLTABZCyxaNP7lBHlGvUY8hUvRlAwpwOIH+oJr/q4A6AqgUngOwePaXXs/JlR237Qi6O1SluPID0kgWb+36C0m9OzwofcQ+YYuqiD/yKAGJGegHEUmPOjaz+YYBvBCyAFI3dR8TJG7REu7DTAWSSrF9vq4M7AKoWnABykBDdKxZ+nTlzZtS2F+RPYYpOcdMBZJrQjUQu+er0yPG2q9bPD/5HADEjzQBytXz4Qc61BjAuWAFkVov4+KFkX6p7b7LTAeQsWf8kB+sD1QhOALlGvtL3kmwbKDRn4zEcQEq7yXptM2MG5LlHR463h7/rdVPgJAKIGWkGkHfVe0tvmlTAVYEKIGOyIx+AOc069DxxQO+urRqUR5DD11X/9Ko4HECKm8j645yrD1QnOAFkjnylu3+ecJP6vqGt1j1EhgPI0+roNclcPWfNPihyvO3zmddNgXMIIGakGUBKmgnNETIAdwUpgMwIffS1HT5jXeUZRPG3EwcXqNX99EaYcjiAqME/s1Y6Vx+oTnACSJmaVLjOBdO+LozZUHSf6or1gFZxswFkh7qltGvmjI5XNrlD5EvnwQyIVWsRQMxIM4BYf5OP7+1UYwDzAhRAtjSVr7XN9PgP68K762rfRu1wAFE3hRziXHmgWsEJINaigsiF+jlRK9+8ub86goj2eoNWmA0gD6oWvW6snAuKn2od/tk+6HVL4BQCiBnpBhB1Npez1rHmAKYFKIBMUF20Nibc9Kk84eiodWOFwwGkvSx/m3PlgWoFKIBYb+0aPkmeHbWuR3hV46/0ShsNIFvUPO1Hmqrmku0P7S4S/i1tmjZm+C1j386MDi1IjgBiRroBZHtD+YQnHWsOYFqAAshxQuQuT7JtvPwxfKFT3NkAslh9YCe+KR1wR5ACiLXizJzEAaTrUs3KRgOImiVRzDVVzTWFdzYRu/8Qs/L94/PCEa/R+d970iqYQgAxI90AYp0hn3CiU60BjAtQAGknxIBk24rqCzFZp7izAUSdtOzJ8PnwUqACiIwgj519SJt3olbIAJLd63ntefRMBpC16opn0oOan215L2bmkrWniEp1/sG3IJmMAGJG2gHkefmE/E1ONQcwLUABpJ4Qw5Nu7CrEfTrFnQ0gaq6xyxyrDqQgYAEkzsNj/rfBQBmTAeQqVatWzH381d7C5ijNUQnhJQKIGWkHkM2qN+sLTjUHMC1AAaSRENcl3dhZc/w6RwPI+pxM62mK2ifoAcQQgwFkWb6sdaGZWt5a1iwUO+ode/6gHqF738Qh27xuE2qMAGJG2gHEOl4+4yyHWgMYF6AA0kmIY5Nt2yg/yl/WKe5oAFHd5+sXOVUdSAUBxAiDAeQ8WSqvNkw8tq2Lyhx7jN+qFtbdXF8tDfK6UagxAogZ6QcQ1Zm1AacKyBQBCiBqMvFPkmwbIbdp9Xx0NICo2ZdPdao4kJJABpCS5Qvnzpo+e96iNaa6YJkLIIvUvKrXGinlsbtU4ui9vnxxUVu1/LaXLYIOAogZ6QeQ37hZApkkQAHkdflSWy5JuGmCzA89tYo7GUB2qPna/+NQcSA1QQsgZYtHn9yhTkWvhEY9hkzVmwEkzFwAOUlWKvjNSClvbWgkX0n3qFkfl6pRkJn3KGMRQMxIP4BYR8inXOxMawDjAhRAStT3/Pkjfo1dX7agvzrB0LoDy9EA8qasnb3GoeJAaoIVQIrG7iPi5A1KfAEjHcYCyAeqRbebqOS1/6gfyaLoNeqmU1EretcHEgHEjBoEkPvlU5prD9UHuCNAAcT6pp76WMvtN3LmwhVb1B0VxeuXzp90VcfQuYXmVQMnA8gVQvf7GUBboALIrBbx8UPJvnS7ZmVjAeRoWajZ5uof53/qAtDptjWl6iasOz1qDnQRQMyoQQBZpo5SHzjTHMC0IAUQa85ulWcSuc1bN4w6sRis2XHLyQCyt6x9l0O1gRQFKYCMyY4cF3Kadeh54oDeXVs1KD9SHK45QKypADJdNeYRA4W8t6eIm4XpWkG3t8xFADGjBgHE6iZqSccwBEGgAoi1vF/i65pNH9ftYupgAPlStXBR9Y8DnBSgADIjdFRoO3zGusrjQvG3EwcXqNX9SrVqGwogpd1lnb11v47xhdLc+PutnparenjTHGgjgJhRkwAyQh0XHGkNYFywAohlfTywflz86DK6sPonVsPBADJSlm7jTGkgZcEJIFuaqrfc9PigUXi3muhrrFZxQwHkGXXk+q9+HR/YqF7KL/Z10+Sq/bxpDrQRQMyoSQAJXa/8wpHmAKYFLYBY1vbZN53RLXJDRV7rPpeP/9lEVQcDyGGy9FXOlAZSFpwAMkG+0oM2Jtz0aYEQHbW+LjUTQHaoLvJd9L6L8Yuy/PhTJjWfQS9vmgNtBBAzahJArP3kk25xojWAccELIGGlW9eu3lhsrp5zAeQ3dTv6bEdKA6kLTgA5Tojc5Um2jde9vmgmgDykrp+8pl3GH1Qnt/H2VUPkqjO8aQ20EUDMqFEAuU5dmnCiNYBxQQ0gpjkXQJ6UlRvucKQ0kLrgBJB2QgxItq2oflyH6fQYCSBbdpdVjtCt4hdqRvdjbGu2Nqs1PeyDiABiRo0CyFx1beI7J5oDmEYAMcO5ANKfa4Hwg+AEkHpCDE+6sasQ9+kUNxJAVE9T8aFuFb94ScR+yXuHXJFl5N5YeIAAYkaNAkhpS6F5iALcEvQA0qZNGyPvVccCyLb6taazKTJacAJIIyGuS7qxsxBjUqixYPSoxI4zEEDWqRHET9Es4h9FreXLaRnVDf29PLniJO8aBD0EEDNqFECsS+SzDnegNYBxQQ8g8uXfaKKOYwHkNXW+ojn1AKAvOAGkkxDHJtu2MV+Il6sv8Xr5RCIJZWk28BpZI3uhZhEfUb3+RdsvyxenquGOc5gIPWMRQMyoWQB5Qx0dVjvQHMA0AojPA4i6nHGUE4WBtAQngJwlX+knSbapm5++r77E+VXlD6F5vrRcDRs1WK+Gr5SeqH4odS5XvftL5pwS+hHd6nWjUGMEEDNqFkB2NpFPe8KB5gCmEUD8HUDK9uKGTvhCcALI6+qOoCUJN02Qb/SeKZR4sMr8ofkNiPpN5P2oV8NfNnUM/2Cadu0UGSF9oO7UsPAOAcSMmgUQa5B8Wj/zrQGMC1AA+XZ2AvLlD4r8U6u4UwFkgfow/taBwkB6ghNASrrIl5o/4tfY9WUL1IgQqdyBZZXc07dPYu2Ebh+QJWrm8Gu0SvjO+mPtEe1ixv3LYAQQM2oYQF5UXyduMN8cwLQABZCrq74rQu8Y5lQAuVXW3deBukCaghNArG/qqQNCbr+RMxeu2KIuxRevXzp/0lXhy/QX69XWHwVL3aJUEJeOMtzOW+pXHor3mBiz9YUbPvCkVagRAogZNQwgW9XPf5L55gCmEUD8HUAOknX/z4G6QJoCFECsObtVHhdym7duGHWYGFykV1o7gMxXx5oReo3wo9X/6hD6AWf/6f6tMZsel6v7zvekVagBAogZNQwg1snyeacZbw1gXIACyOgMDCCrVN13zdcF0hWkAGIt75f4INH0cd2+CdoB5BjVjE2arfCnn959dsqHv8WvPzX0sz+lFo37VbsRQNKyJNHN4UrrGgaQ/8jn7RKb4gH/CVAAsSaFLmT2vCiaXNEt8k+t2g4FEHXpr0mx+bpAugIVQCzr44H14+JHl9GF2nV1A4galzulmUhqkYfDP/7sMxKPDACfIYCk466sqq6LdqpBxfWql9irxhsKmBakAGItO0K+2vyHSqNWibRGwXr0gH2SEM4EkBNk2UHmywJpC1gAsazts286o1tkUKa81n0uH29kam7NAFJ6oHx+m+0mWpI5ysbvGf415Jxfqwb/qq0IIOloKKrSoiYl1bekF5huJ2BcoAKIVTIyR77evqsq16QVQL6s8kgh7jHe3lBvsueNlwXSF7gAEla6de3qjQa/hNQMIM+qI01sH+3ab8e4FuGDbJ3ziCC+RwBJx35VnlW0qklJ9ZXhbtw5Ad8LVgCxrI/3lS9418qBNNMKIG9UHUBuNt7aV9Qn7h/GywLpC2gAMU0vgOxUx6/OJQbbkykKR+0aPszmDV1V/aPhJQJIOhb0THZfRZ78OXavSclf1F1dc0w3FDAtaAHE2nyh+hC7aHNkMa0AsqNHlQHkMeON/ZuseqzxqkANEECM0Asgj6gDzXSDzckgW0Y1Ch9od7mqtg1CXMsQQMyo6ShYlnWIfOaVhlsDGBe4AGJZLzZRr/mj8EJaAcTa+WGy8Soc6YReqm47eNB0VaAmAh5A2rRpc5+JOloBpFAdEXoEdpLw9bdGuuQUDON7YR8jgJhR8wByp3zmnoE9TiBjBDCAWCtVF62cEaFbJNMLIMk5EkDmqc/apaarAjUR8ABi6kihFUBuV0eEd0w0I0OtHVY3HEF2vbV2jkRcKxBAzKh5APlGuP0rAGogiAHEKr2njrqQqE7tfR1AbpBFO5ouCtQIAcTzALJO3YN0kolWZK6VV+WHI0jTUdu8bgsSI4CYUfMAYu0vn3qD2dYAxgUygFjWZ2rS3fpPlvk7gHQJ9ikffIUA4nkAuVY+N/sLE63IZMuH5oYjSPNRmrPSwxkEEDM0Asi/5FMPMNsawLiABhCr8BL1CXbqOj8HkOWqiR8aLgrUTHACyLeJennJVz8o8k+t4hoB5Jd68rnnae29dlhyXk44grQex1ijPkQAMUMjgMxXbw/m7YTPBTWAWNa03eRLb+HnABIazDuII27Cj4ITQK5OPtJdiFZxjQCiBvCr84PW3muLr0+PTB/ddhxHSN/xZwApW/nm20sy6q9FI4CUtZLPvdtscwDTghtArNV9wx9hvg0gf5E1BxuuCdQQAcTjAPKtuvOIsTUj5p8U+W10nMJoPz7jlwCybdnKin//fnVoBLXml/7sVCNKli+cO2v67HmL1pj6g9QIINYV8rmHGWoH4JAABxCrdEy+nwPIFtW6l8zWBGoqOAFktD8DyAD5zAJmwKgw99jI76PLFK+bAhtfBJBNo3pmiavLl6btWv7urT/e/P7LFo8+uUOdigNEox5Dpm4xUFYngLwtn5vlWNgCjAhyALGsr/r16tVrnIlKDgSQKbJk/ubqHwe4ITgBxJrUUJ1G9LwomlzRLfJPrdo1DiDz1THmFq191zYfHBk54/vTW143BVH8EEAmN1d/GOUB5JO6URcQTE+tVTR2QcWhYwAAIABJREFUn/irFHmD9Htg6ASQkqbyyY9oNwFwUrADiDkOBJDzZMl+ZksCNRagAGItO0Kl/4dKo1aZ+q60xgFEXe9vyuQXdrMPipzv9XrX66aggg8CyEPhP4tIAFnfMrTU7MDQ9yBZHxnd+awWib8ozb50u2ZlnQASOl4fq9kAwFkEEDPMB5DQFYxHjZYEai5IAcQqGanGWeq7qnKN1wFkpjqnecBEC2qVsuldI+d7fZh3zS+8DyBvhW+FOuY/4cVRoTv1viyzSmapCTI6meyKPiY78geY06xDzxMH9O7aqkF5BDl8nV5prQAyTTVJswGAswggZpgPIO+rI9gyoyWBmgtUALGsj/eVr3fXlyuWPQ4gZepSfxvdS6q1UemU9uHTvayTAj9Fik94HkCKWssW7DV5Z2SxpI1c7Biet/J3dVY/09yuZ4T+9toOn7Gusut58bcTBxeo1f1Kq3hm9bQCyLb68tkTtPYPOIwAYob5AHK9rNjNaEVAQ8ACiLVZjXorLirvheVxAHlONeZpEw2ofXY+0Spy08u5q71uCywfBJD/ygbs+0vFYujbw/IZtdSVvdOM7XmLulGhzfT4oFF4t+p2MlaruFYAsf4qn91fa/+AwwggZpgPIOqr4puMVgQ0BC2AWNaLTdTRMXLDuLcBZGc7+bT9mXUviaIxu4cjSHevWwLLBwGkt72jx5XqDr2Kpe5CNDY2cvMEWfqgjQk3fVogREetHekFEJXC6hXq7B9wGAHEDOMB5Af1cTrfZEVAR/ACiLXyGJUWRoTO+70NIGPV4WCaif3XUoWjdgslkPhhAze/P3ncix9u9aBNgeV1ANmeJ0TfqOUOsj1PVSwNl0tLTe35OCFylyfZNl7uSOuuQL0A8of8KYiXq38c4BnfBJCSHRX//PGMka9m2mgvxgPI/bLg7np3kAIG+SaAuHioKL1HDe7fQ52ueBpAtu0pn3UYE+5VZdOIRkL0jllZNuW40GRPol7/17xoVDB5HUA+tn8ar5CLuRsqFh+Xi1NN7bmdEAOSbSuqL8RkneJ6ASQ0k/G5OvsHHOaPALLhkZMavVOxtEi2Ke/kKRl19m08gBwtCw4xWRDQ4o8A4vah4jN19bT+k2XeBpA71Dn0HBO7r81+f/DBmC9APj1UVOq92JtmBY/XAWSy3P+sysUn5eKRlYvT5eK/Te25nhDDk27sKsR9OsU1A8hj8umNd1T/OMArfgggv12sumu9U7G8KPx5cWAmfeCaDiAb1ZXXVw0WBPT4IYB4cKgovETt4dR1XgaQDaozygkm9h4sL+wiohVwD5s7vA4g6juO7ysXz5CLt1cufi40c0G0RkJcl3RjZyHG6BTXDCBrsu1BDPAbHwSQSY1Dnw7vVKyInFWIrHsz554D0wFkEh3I4C8+CCDeHCqmqd4FLbwMINfJ52R/bmLvgfJMVvjuq85Hdwrfh5XzP6+bFAxeB5D75P63VSyVqPfvvMqtX8rFO0ztuVMVs/1tzNfsg6EZQKye8vmX6TQAcJb3AWR05BzinYo1ay9sHVmX/MtNvzEdQM6S9U4yWA/Q5H0A8epQsbpveB9eBZBV6oTuHBM7D5R56tsy0fkF1f9800Q1jJhoyF1YbvA6gDwh91/ZM/xT9YuPGkDuHWFwhl/1Qf1Jkm0j7F/EpE83gNwr6EgKX/M8gEwNfbQ3PG969L2KZUufCM9vmzE3IRkOIMXqnotx5uoBujwPIN4dKkrH5HsZQC6ST6nzg4mdB0lJF/U7u6580usd6qcojvK0SUHhdQCZYrv1SHWgiu4o/pRcnmRqz6/LYi2XJNw0QZ4U9NQqrhtAlqo/+Y+qfxzgEa8DyNpd1Xfk98bP8Fv6tDqKtSjyoE01YTiAzFG3law0Vw/Q5XUA8fRQ8VW/Xr16GbkikH4A+S5XPuVyE/sOlAki5g82lEC4CcsFXgcQ1cvj/oql7sI+IeAQk60Lxdz8Eb/Gri9b0F/9uemNgqsbQFQnFHG9VhMAJ3kdQNS3lA3nJtz0mTqMGRutwmGGA8g/ZLlDzJUDtHkdQGrJoSL9AKJmNK6/xqHm1F6Hq2No9P0nO9RdWCd71p4A8TqAFBcI0br8gsR3wn4n1PZmMjGYGxvqm3qqfm6/kTMXrtiieqIVr186f9JVHUNfy16sV1s7gNwsC7TTawPgII8DSImawPb5JBufltt6uNqcmjMcQNrLcreZKwdo8ziA1JZDRdoB5BN1bLnJqebUWr+qIYBm2FY9IxjZwxVeBxBrYNRXIOq41TZqjArVQeQYg/ues5uokNu8dcPKJTFY81tZ7QCivgoSi/QaATjH4wCiBqQ4JNkANiX7yXd0hnxemA0g36jjBqPewE88DiC15VCRdgD5s3xCkw3VPw42r8gf2647bas2q54873vUniDxPICofuZ54ckG1awf4tbKTUsbyOXnTO58eT+RUNPHdYfm0w4gVlthG4EY8BePA4iaKufBpFuHy61vu9gaDWYDyD2y2h6ZMwYxgsDjAFJbDhXpBpA31bnMaMeaU2upv5ejY9ap4Qq0pqZGSjwPIGXHqndN/8mfTL9CfTJnrajYMl+Np71HfEcyLR8PrB8XP7qM1r8goh9ArtGuADjI4wCizhteT7pVXbx4xsXWaDAbQI4QjN8Nn/E4gNSWQ0WaAaTsYPn4PbdV/0DY3S5/bgNj1qnT0kc8aU2weB5ArBWNo8PAeeGVO1e/cmZo+TXjDdg++6YzujUI7y2vdZ/Lx/9soqp+AHlPNegnE20BHOBxAFGzDCcew075RGjOJOoeowFkfU6VJ1uABzwOILXlUJFmAJmsziCecq45tdYjIn6KODUekrEBWJGU9wHEWtC0Mn8cGPkuolNk+R9ONaN069rVG4urf1yq9ANIaYsqvzgGvOVxAFEjI25NuvVrufVOF1ujwWgAmSiL1c+UAYgREB4HkNpyqEgvgBTvLx/eweA5TWC8JH9wze2TsG1TJ8bveNOcQPFBALF+6l+eP44vH88+EkBuzJibm/UDSOiwyeQ38CuPA8hNcve/Jd36tsiYwTWNBpDTZLFTTRUDjPA4gNSWQ0V6AeRxdcY01cHm1Fo/Z8WlDZVJ8jZ605xA8UMAsazPbjyyfaveQ+ZUrAgFkB6JR/L2JQMB5DVZIpsxvOFTPuiEviDp1gkidiBF3zIZQHaoe0n/Y6gYYIYPOqHXhkNFWgFk217y0YdmzBVbX1GdZ3pHryhRfdD7etSaQPFHAIlz/J9OuXuRc2+mkuUL586aPnveojWm9mEggGxvmDGXZhBAHgeQGaKqEV5Uj7GFLrZGg8kA8iYXLeA/HgeQ2nKoSCuA3KWu2WbG6F6+86j62d0btWKYWsEgWC7waQBxTtni0Sd3qFPR6aRRjyFTtxgoayCAhI6MJxhoC+AAjwNIoTxUdUl2vWBLfSGal7janhozGUCukLX+ZKgWYIjHAaS2HCrSCSB/7CoffJyjzam9dqqJz7MrEkjpDerUMOlMMjAoYAGkaOw+Ik7eoORDZqTKRABRo1jkb9JuCuAEjwOIdbbc/8Qk266T24a62pqaMxlA2mZMh1oEiMcBpLYcKtIJIP+Uj836zNHm1GKz1GCC4uh3VU/0kjcOUwt1P/G6UYEQrAAyq0V8/FCyL9WdbsREANlSl+/94FteB5CZ6gvLpQk3fZiTQbcfGAwgaspnschMLcAUrwNILTlUpBFAVqkTubOcbU5t9mD4RHD3v5x+7G7hf2bGVDEZz58BpGzlm28vMf816ZjsSODIadah54kDendt1aA8ghy+Tq+0iQBinSCLnKlbBHCE1wGk7GT1CfF5gi0fqbfx8ZnyjbnBAHKHLNXGTCnAGK8DSC05VKQRQC6WD62TOHIhFeNybZek85lPxR1+CSDblq2s+PfvV4dyQfNLjUwRWGlG6E+r7fAZ6yoPQMXfThxcoFb3K63imdUzEkD+LYsUMKg/fMnrAGKtVIeFXe6KfYPsvCtffWL84EmbasBgAOkhS11lphRgjNcBpJYcKlIPIN+p0+fLHG5O7TZr36j80ekj+8YV5/SfmiGpNcP4IoBsGtUzS1xdvjRt1/I/g/rjTe55i5rwsM30+KBReLe692msVnEjAeQ39fVwZowQiMDxPIBYr6nTB7H3ncuj1v3+sJp/S2RN8KxV6TIXQH5T3+jONlIKMMfzAFI7DhWpBxA1HVC9XxxuTi2345EDIzfk93gq9u6bnnJ1t5eJIOb5IYBMbq5+7eUB5JO6UUnU5MzgE2S9gxLPLfNpgRAdtf68jAQQ60hZZYh2FcAB3gcQa3a98GGh8+AHX3jjo3deefLqnnnhNUYvVTjLXAB5UlZquMNIKcAc7wNIJh0qfn5xSmKDUg0gn6pjyg1Ot7P2W/HimFsefnl1/IZGob+cri/p3SaDeD4IIA+FjwuRALK+ZWip2YGh70GyPop7eI0dJ0Tu8iTbxst9faFT3EwAeUBWaZoZQwQiaHwQQKwF3UUizV7yuF3pMBdA+stKpxupBBjkgwCSOYeKuXUTNjQiO5USfeQDm/zudEMD7NrIb6PLFCKIWd4HkLdCv9lGx0Tm8x0V+j1/WWaVzFJfmHYydzreTogBybYV1U9p/Kk/bhmaRGMjAWSZOjl5X7sMYJ4fAohVPLpR3Gd01rmaI0i4y1gA2SYPWgzWAv/xQwDJmEPFhVXlD5HKoD0fqMfdW/3jUFNlUzpFfh2dXyCCmOR5AClqLVuw1+SdkcWSNnKx47bQv39XXyvMNLbnekIMT7qxqxD3VV+ib5WHin3126iu2vxDvwxgnC8CiGVtnXiU7V23+w3LvG5SeowFkNdkoRz/nVAh8HwRQDLlUHF7lScVWSlUGCMft+c2xxsaaGXTD4r8RjpO5B4VczwPIP9VZ+6V3afUCN7iw8jC+/LfpxnbcyMhrku6sbMQY6ovUeWXpWJ3/TbeJsvsTV8n+JBPAoj0+xu3DTym+977/en4i59anHEXpIwFkEtkoSNNFAKM8kkAsTLiUFF05cFJ7ClS6wOypJ4QzzrezqAjgjjB8wDS297R40rZnj4VS92FaGzsdLyTEMcm27YxX4iXqy/x1yoDSHv9Ni5SdRKNXw54zD8BJLOZCiBlewluvIAf+SeAZLSUR8FafF+GTK2Y2cqmHxw51TuACGKI1wFke54QfaOWO8j2VM4BM1wuGZtd5yxZ7JMk20bIbd9XX2Lbw8OSUNNn6vcBsaz9ZJ2bDdQBDCOAmGEqgCxQn4RLDBQCzCKAGJHGRIRwRWUE2WdcsdeNqRW8DiAf2z+NV8jF3A0Vi4/Lxamm9vy6LNYy8Qf2BHlS0FOruJlRsCzrelmns4E6gGEEEDNMBZBbhZFuZ4BpBBAjCCD+Uzb9ECKIQV4HkMly/7MqF5+039Y8XS7+29SeS7rIavkjfo1dX7ZADWeZyh1YVTAVQD5STfnOQCHALAKIGaYCiLoj+VoDdQDDCCBGEEB8afahkQjSlgiizesA8rj93qcz5OLtlYufi5QGp0rRN6G5iXL7jZy5cMUW1bWkeP3S+ZOu6hj6Y7pYr7apAFLakhu74UsEEDMMBZBVqs47+nUA0wggRhBAfIoIYozXAeQ+uf/KAeRKVFeKeZVbv5SLd5jb95zdKnuM5zZv3TCqA/ngIr3SpgKIdanQvRsMcILnAWRkNbxsWxoMBRB16abxzuofB7jN8wBSOw4VBBDfmn1Y5MRxbyKIFq8DyBNy/5XTk38qlxpG/ULfkcuPGtz58n4ioaaP6461ZSyAvCkLZa8yUQkwyfMAkvi9W8nLtqXBUAA5QZYZpF8GMM7zAFI7DhUEEB8jghjhdQCZIqL7gNwh7LOVPyWXJxnd/ccD68cdjbqMLtSuayyA7Gxi5vwEMIsAYoaZALJVHbmfN9AcwDQCiBEEEF+b3aM8gozZ7nVbMpbXAUT18ri/YklNBD42ausQB1q3ffZNZ3RrEP7LyWvd5/LxP5uoaiyAWOcI+8DEgC8QQMwwE0BekVXqbKj+cYDrCCBGEEB8riKCtCGC1JDXAaS4QIjW5f0vvlO/y6gu6dubCZG/w5FmlG5du3qjwa/OzAWQlzizgB95HkAuqYaXbUuDmQDyN1HFvKqAlzwPILXjUFFFAClZ/fmHP25LvA3u+eBoIogWrwOINTDqKxB13Gob1RtDdRA5xq2G6TEXQEL3VjxrpBRgjucBpJYwEkBKW8gqD5poDmCa5wGkdkgaQF4fHBpOJ/eYMZvcbhNifHBMJIK0HqM5kFEgeR5AVD/zvPBkg2rWD3Fr5aal6kap51xrmRZzAcRSs5IMNFMKMIYAYoaRAPJxzJfFgH8QQIxIEkA+PrzyXrKmD5W43y7YEEE0eB5Ayo5Vv7r+kz+ZfoX6ZM5aUbFlvrrIt4fDX2y1adPGyEQjBgPIBFlql61magGmEEDMMBJAbpRFOppoDWAcAcSIxAFkfJ6tO8txf3jQMtjMOqI8gpgdMikAPA8g1orG0W+n88Ird65+5czQ8mtON0eIG03UMRhAfs+VtaaZqQWYQgAxw0gA6cIpHnyLAGJEwgAyMnKmVLdR5B/dNnvRNti8dWT4l5H1jtctyTDeBxBrQdPK/HFgZEDcTpHlfzjeHP8FEEt9JzTYUC3AEH8HkLJPrvG6CSkyEUBWqIPjh0aaA5hGADEiUQB5SR0+RIfHV1rWtplnhBZOKfWkdbB5+6jQGesDset3vvWPkw896KQrZ9JJPREfBBDrp/7l+eP4lZFVkQByo+78gNU3x4cB5BFZa1cmt4G/+DmAfHtru0wZW9NIAHlY1tiNu7/hT34MIKU/vvX0i3Mz6iwwQQBZr+4XyRpRfnbwYUt1mvRv11uGBOb0FqIgpl/e9gcqLq83vov76uP5IYBY1mc3Htm+Ve8hcypWhAJIj7lG9/zt7ATkbgZF/qlV3GQA+UWdorxtqBhghm8DyC/3Hxw6wnvdjhSZCCB/4UtS+Jf/Akjxf/cPHSN2OeMrr5uSugQB5Fr1Ih6rXF6uOsruyZmtP8wd84N9xaJ20f0LWn/iTbP8zB8BJM7xfzrl7kWGv/64WlRNq7jJAGIdKotdYaoYYIQ/A8iGfx+TZeIN7B4DAWRLvqzxkpnmAKb5IoB8dHG7ek0PHRa6qWJnxU0WIuuWjLljKT6AbKsvV50bveZt9ZomuNospOqNBvZTzHocs2P5NIA4IXMCyF3qqobjd58B6fBhANk2ZUDlkDB1HdlFyfKFc2dNnz1v0RpTb0gDAeRFWSKPvqfwKR8EkO0XRA4LufK9VnZ29Af93zLlozU+gKiZCur8bFt1vFx1qputQqoWFoQSb6/bJz5z1zE56t/5Zm/qqQUCFEBGZ0wACc0Iz9d18BW/BZDiN84vqHjz5h7/jPE5ucoWjz65Q52KXTTqMWTqFgNlDQSQ82WJfgaaAjjB+wBS0q/yg/0Ba1ro/62O7ZIf+sc4T5uWuvgA8g+5po/9Qc+pQ5OLjUKqCtuoP7Zen4WXvg7NN9Hid2/b5DsBCiDWpIbqT6DnRdHkim6Rf2rVNhpALHW/6nBj1QADfBVAyuZd0aziDCOr9xPrjO+haOw+8Rcp8gYt0S6sH0BKVMfGR7UbAjjD+wAyKvpN+60atPpvv8rVxeN2lf9sZuI6ggviA8jpcs0I+4N+Vi+Rb0N96Hb1mzlvR/liyWVq+f+8bJEPBSmAWMvUfDH5D0XfAyp8OAqWZQ2X1fYzVg0wwEcB5Osb21aeXxz2wC8O7GJWi8Tfk2ZfqjuQjn4A+UA1ZJlmMwCneB5ANqtrjXk3v7n0jduaCLGHXBgf2bKyUdSCz8UHkKPijx071cEgZuwl+MBm1QHk6J2VK0pPkivq/uZdi/zI7wHkP21M7rxkpLoTr++qqOb4MoB8og4q+tdaAXP8EkBW3NMtOhHc6shOxmRHyuc069DzxAG9u7aq6E94uOa3LfoB5J/qe1u9RgDO8TyAjJcN2DV878v36jsPcVxFv4+nRcb0mYgPICfINffZH7RBvbzVLrYKqXlB/fYWR6/5pZ5gzOQY/gggpZ/de/Xfbhof8zbaufKN87MNf2Py8b7q0PRyZXN8GUDKWstydxorB+jzRQBZ/8SRldnj0Pvkf+52YjczQvXbDp+xrrLDavG3EweHOp300xtGRz+AqDs0b9KqADjI8wCiOp2PjPz7NvWenVKxaWcdHxzGUhMfQNQt40PsD/pIrsplSiD/OU/+Yk62rzpXrjrFm9b4lS8CyJudwycUdQZvUIs75/zfMd3bNIp0/zS8/80XqqIXld806c8AYl0pyx1irhygzfsAUvjcSbkV6ePAUT+G3r5OBJAtqpNFm+nxQaPw7rpyy1it4toB5Af18udrtQFwkOcBpL08mdgQ+ffv6pjxTeW2LkIUeNKotMUHkIfkmpb2tDGMr0P96bD44/zzglvrY/ghgDxSeU2z26+W9csh0XdYmO8z8mITdSb1UaQ5/gwgc2S5rBXm6gG6PA8gg3apOCh0vSN817NDAWSCrHvQxoSbPi0QomMK43iWfpZo3lNFO4A8IAs0z5jJDBA8ngcQ+RG/b8XC3rI1Ubfi/9WJkwpHxAeQ5VmxN/FsUHeY3epmq5CaVvIX86Z91Xy5qoE3rfErHwSQt6Ljxp9KN7Wy5Q8HjhUrj1Fv7BHFoeb4M4CExrl52Fw9QJfnAaT8iNBxxJKoVU4EkOOEyF2eZJu6vfyLaivs7C2qohVA1OFrSPUPAzzieQCR5+m9KxaOtJ9FnJnBAcTqJVc1/alyuew09ZhvLPhOc/mbece+6gu5Kj9TZqFxh/cBpDQ0W31O+xNP3Fd1/Pz3v8If0Vm5QuzS+rBh7znQhtJ71O1dPZZavg0g1gWy3jEG6wGa/BFAOty8yL7KiQAiD0kDkm0rqi/E5GorvFll/hA3azRuozp4vapRAHCW5wFE7v/MioWYxJHRAeS90DHwh/LF4kvV8oVuNwwpUEOlPGtfpT5C23jSGN/yPoC8od5CZ4YGplpzthBN1FxBZ72zbKdV5mDPqs86yL3Uf7LMtwHkVXXsMT+5AVBTvggge/9nU8wqJwJIvaqm4ekaNxBNAp9XHUB0Gq1mHqtXqFEAcJYfAsg5FQvn1KIAEupeL5qMCY8F/kEPtdTUiWHIoesU+av5m32VmkeytyeN8S3vA8gVsgWHRb6WKgsPcfNm7GPMK7xE7ejUdX4NIEVq1M+nDRYE9PgigAhR98zXdkavciKANBLiuqQbOwsxpvoS9+7ZJAn1InRuwVKnICdqPB9wGAHEiEQBpPDA0FGwwcB/jhjaPvTPOu960jhUY6z83TS2TXxeqOaWusur9viT9wFEDRbwdvlCqD/IUFcaMm03uasWfg0g1kDBiG3wE88DSP3y7w+aXjk/csXCoQDSSYhjk23bmC/Ey8k2pkKzE3qxSjBP6DQAcBYBxIhEAcRabR+jR9TXOhjBMStVj4LLo9fcoH5f9Nex8T6A7C5Ek4qFMtX5eo47LVndN/wO9mcAeVZd7N1c/eMAd3geQAonHZ9T/rG73+0/qlUOBZCzZN1PkmwbITQnHtYMIKEB8lbqNABwFgHEiIQBxNp2QVZU/ti/+gEx4I3z1e8nasiyF1QiSdq3MKC8DyB1heheuaS+YHTr07V0TL5/A8jGPFnxJZMVAR2eBxDpt4d7VHz0HvHE704FkNdl3ZZLEm6aID/9e2oV1wwg6j7ig7UaADiLAGJE4gBiWZ8eV34hZp8nil1vFVK0Qk18njVsW3hp+20qf9RJ/KkSXN4HEPutRqrnjntD3H/Vr1evXuNMVDIeQKy+toMo4DE/BBBp6Yj25RGkzqkOBZCSLrJw/ohfY9eXLeiv9qt304NmAFGvfoRWAwBnEUCMSBZALGv9M8PPP+vq+79yuUFIy7Ohr6r2vGXuqtXzR+4d+sh6zOs2+Y0vAkjUefY5GXN0sDMfQB6XFRvtMFoSqDmfBBAZA+Zf2bzyHoS/LnNgF9+oi1cit9/ImQtXbFH9TYrXL50/6aqOoT1erFdbL4B8o1rwuV4LAEcRQIxIHkCQEUaIGNd43SLfIYCYYT6A/Kq+sXvDaEmg5nwTQKTi18+pnBa912Pmx6ues1vlp0Zu89YNoz5EBhfpldYLIPfIZ+/BXFbwMz8EkA5Xl1ND7l9dqX3GnGIQQDLdpLrR8SNnlH3r8lvvX+9Nu/yDAGKG+QBiHS5LXmK2JFBjfgogUuGzFXdCi9wTnzM9McbyfrFXr8KaPq579q8XQI6Qz75UswWAo/wQQKrkZdtSRwDJeF+fWPlH9+fP7Nu2tRKi4Nr/b+8+4KQo7z+OP3ccHB2pggUUURQpKipBTIiKghUiwYLBEhU1dqNBov4lYkFBxYogKlgjliiKKNgIoqgYu6KIgIUuUj3g7nb+zzPbZsvszt60nZvP+/VK3Hl295lnl9nf7Xdn5pmf/RlYsSCAOMOFADJWdrmjd+fDADkVWQCRVt51cKK6NzrtFYd7nz+4kUjXbZz9oGMrgKwtk8+eYXsMgIsIII4ggNQCC67u3kCI+l2unJd+zyf6plg+/LtsTwsLAogzXAgg36nNM2OrBfxRfAFE+vb6Tu59q9g6+9qTejSJdl6vfb8LJ/3gRK+2AshUlbVsHgMGuIsA4ggCSC3x6y/ZWivaRzfGOkM/93pAxYMA4gwXAoimpuIxvyAz4KmiDCCaFpl/UWtXv1VUb1m9fL2Ds13aCiB/Fkwlj2LnewAZkYefY7OOAFK7LTu9bvQvV8kJ8/0ei18IIM5wI4D8n+xzd4f7BGqoSAOItH3G0IbBqRt2Asg2dTb8Q44OB3Ca7wGkdiCA1HZLL2kQ2yfXZ7rfY/EHAcQZbgSQj9WGyVTfKA7FG0CkTY/1D8qfajsB5DX53NIVjg4HcBoBxBEEkNpv9fU7xCLIflOr/B6MDwgghXhrr1wHlvZwenUdZaf/crpToEaKOoBIGZcNdET1pIjEAAAgAElEQVTV0k/mzZo++73PVzg1962dAHKRfO7vHBoH4BICiCMIIGGwYXzb2BfIfaeG77r2RRFAjv444Wi5+HEKLweXz245z2zbxenVXa5ysdOdAjVS7AHEcZEvxx3fuW7i492s1znPb3KgWzsBZHf53JscGAPgIgKIIwgg4bB5/C6xvzG7jf/N78F4rCgCSE5eDi6f5jlH2s7p1f1X9brY6V6BmghZAKm4r2PmR7ze0K9td2wjgHyqxsBBmShyBBBHEEDCYtvUzrG/MG2uX+/3YDxFACnE/XVyjbSr06urVvvm7nC6V6AmwhVAZrXN/iEvPX+rzZ5tBJAb5VM72Fw94DYCiCMIIOFRPb1n7C9My+uzTtpbSxFACrJigQl1bITTJ6Fr2jmy19873itQA6EKIONLY+WnTuvOvY8d1Lf7rk3iBemQNfa6thFAesmnXmxv7YDrCCCF2Gj2peJiAkiIRKb3jv2FaXzJT34PxjP+B5Ad8/BycDXnxixYmjZDMOkNikSYAsgM/Q/B7iNnrEmeel65cOoZjVVz/2pbfdc8gKxSqWiWrZUD7iOAFOCzlrl+fy31e3jwztzjYv/q9YZ96/dYPOJ/AKkd3AkgW9W0/5Mc7xYoXIgCyKZW6lin6ZlBY/Mt9eU999nqvOYBZLL6dczuEWCA2wggBTg35wEgJX4PD176eFjsKP/SIV/6PRZPEECc4U4A0U6R3R7tfLdAwUIUQKbIl3pA9pMBP2wsRBdbM/LWPIAMlM8cYmfVgBcIIAUYSQBB0hfDymL/8seF4fLoBBBnuBRAnpbdlm9wvl+gUCEKIAOEKFtqct8k+TbYmhu8xgFkqzoA7FE7qwa8QAApwPoTWzTPrgGHYIXRkjBdHp0A4gyXAsgmdcTHU873CxQqRAGkkxCDzO6raCTEv+10XuMA8rJ8Yh2bZ8AD7iOAOIJZsEJq1fXNYhHkgGlOXf+2SBFAnOFSANGOlf2e5EK/QIFCFEAaCDHS9M7uQoy103mNA8h5gjnxEAQEEEcQQEJrw5gWsQjSrXZfHp0A4gy3Aoh+3mmFCx0DhQlRAGkmxJWmd3YVYrydzmsaQCLqcrm32Vkz4AkCiCMIICG28bb4laj2fKQW7wUhgDjDrQCyRp2R9LILHQOFCVEA2VeIw83uW18uxHN2Oq9pAPlI/TGyfyF2wG0EEEcQQEKt4r7dYhHkuqz3b/d4PK4ggDjDrQCi/UF2fLYbHQMFCVEAUZPPfWBy3yh5n61J2msaQK6Xz9vDzooBbxBAHEEACbnKqV30ANI9/Y7tr5zXpZlo2Onkpzb6MS4HEUCc4VoAuVN23KpWHwWIYAhRAHlFvtR22Xc2TJH5obetzmsaQA6Qz7vC1poBTxBAHEEACb3q5w6UG8F5aa3T90xM09xiTLAP0CeAOMO1ALJUfV+Z40bPQCFCFECquqnpr0etTG+PLFCX4rB3BFZNA8jP6nlv2Voz4AkCiCMIINC0184a/VtKw+bBKVeKOeBHnwbmCAKIM1wLINr+sufLXOkZKECIAoj2lT4Te1n/0TM/WbZJnQJYuXbR+09cEt0hfq69vmsYQB6QT2tWKw77RW1HAHEEAQSZfj1ApGr3ld9DsoEA4gz3AsgNsucOtXgaBAREmAKI9mbLZIEva9O+qaHen2Fzn3cNA4iakHuovTUDniCAOIIAggxV/fW/Qr+7a96iDx45Xv0xEZ1+8XtQNUcAcYZ7AeQLtYl95ErXgHWhCiDa0v4iq1YT7P4YULMAskVVai5JiiAggDiCAIIMN6m/Qq3jl0j/aF+1ONjXEdlCAHGGewFE6yy7vtadrgHLwhVANG3+4EYZ8aPbuM22+61ZAHlB7YpZZ3vlgPsIII4ggCDdarUzfufvE8sbDlF/l+b5OCJ7CCDOcDGA/EN2va87XQOWhS2AaNrW2dee1KNJNHrUa9/vwkk/ONFrzQLI2SLHtUmAYkIAcQQBBOmuUz9EGb+xr1LXKzzWt/HYRQBxhosB5D31/WehO30DVoUvgERVb1m9fL2DE2HXKIBUqz8zdzo3CMA9BBBHEECQrqvcJs5JablftpQH9nIgBBBnuBhAIrvIvm91p2/AqrAGEKfVKIDMV79C2Lr+IeAVAogjCCBI86P6O5B6jdzNasbGF3waj20EEGe4GEC0C9SkBy71DVhEAHFGjQLINfJJ+7gxGsBxBBBHEECQ5r9yk2ieNg3KEUHeOU4AcYabAWSW7Lsk0FebQS0QzgBStfSTebOmz37v8xVOTYVdowDSna90CAwCiCMIIEjztNwkuqa1nSnbrvJlNA4ggDjDzQCyvbns/H6XOgesCV0AiXw57vjOdRMzYDXrdc7zmxzotiYBZJkawDsOrBxwHwHEEQQQpHk2y57wYbLtal9G4wACiDPcDCDaX2TnR7rVOWBJyAJIxX0dM2bhFfWGfm2745oEkHvkc1pW2V414IVQBhDn95USQJBmntwkGqf9IThUtt3tz3DsI4A4w9UA8pzsvC7XAICvwhVAZrXNjB9K6flbbfZckwBylHzOGTbXC3gkbAHEpX2lBBCkWVUqt4m3UprWqQ3vVX+GYx8BxBmuBhD9KsiPudU7YEWoAsj40tiXiTqtO/c+dlDf7rs2iX+9OGSNva5rEEA2lcvnPGtvtYBXwhVAXNtXSgBBul5ymzgxpWW02ilS4dNwbCOAOMPVAKINytjqAI+FKYDM0L9E7D5yxprk4RSVC6ee0Vg196+21XcNAsgz6htNYKd6R9iEKoC4t6+UAIJ0Y+U2UfKyoeEbdWn0U30bj10EEGe4G0Cmyt4bbnateyC/EAWQTa3ka+0wPTNobL6lvrznPlud1yCAnC6fcpStlQLeCVMAcXFfKQEE6TapuNtsfmL5h85qI/nSxxHZQwBxhrsB5Fd1mN9/XOseyC9EAWSKfKkHrM9614eNhehi6yzTwgNIlcpD99hZJ+ChEAUQN/eVEkCQ4UG1YdW/Y5u+EJm2o1q8wOcx2UAAcYa7AUS/1szp7nUP5BWiADJAiLKlJvdNkm/Dx3Y6LzyAzFV/ZJbYWSfgofAEEFf3lRJAkOksPfLufMljs56+tot+u1dgzwAhgDjF5QByr+x+h+3u9Q/kE6IA0kmIQWb3VTQS4t92Oi88gPxDPqO7nVUCXgpPAHF1XykBBJm2Hpd2slHX5X4PyQYCiDNcDiA/qW8tr7vXP5BPiAJIAyFGmt7ZXYixdjovPICo4nKNnVUCXgpPAHF1XykBBFlUXVVizB+DUmcnqX7wwhlOXYjGAwQQZ7gcQLSDZf8Xutg/kEeIAkgzIa40vbOrEOPtdF5wAPlO/ZmZn/9xQHEITwBxdV8pAQRZLTg8ET/2npZ23zj1TfQ5eycfeYgA4gy3A8gt6rC/AAVb1DohCiD7CnG42X3ry4V4zk7nBQeQO+QT2gTmLwoQngDi6r5SAghMLLz1+P136dr/n+9nfCc8Qc8l+z5Rle1pxYcA4gy3A8i3aqt638UVALmFKICcIl/qByb3jZL3fWun84IDyGHyCWfbWSPgqfAEEFf3lRJAULAJsV0jez4ciHOGCSDOcDuA6Cu42s0VADmFKIC8Il9qu+xXMp4i80NvW50XGkDWqzm4X7C1SsBL4Qkgru4rJYCgcE/uHYsgHe63eyVMDxBAnOF6APmnCrVurgDIKUQBpKqbfK3lo1amt0cWDFSV3da3ioIDyJPy8Q24CimCIzwBxNV9pQQQ1ED19J6xCNLm+g1+DyYfAogzXA8gH6oNKrgXvETghSiAaF81UB+3sv6jZ36ybJM6zLZy7aL3n7gkOu36ufb6LjSAnCoff6y9VQJeCk8AcXVfKQEENTO7VyyCtLr+V7/HkhsBxBmuB5BIe7mGG91cA5BLmAKI9mbL5DyHZW3aNzVMe3iGzcs+FRhAKpvLxz9gb5WAl8ITQFzdV0oAQU3NPSL256rJiF/8HksuBBBnuB5AtEvkGnq6ugYgh1AFEG1pf5FVqwl256IrMIC8KR9e8qPNdQIeCk8AcXVfKQEENTc3fsHCxpcU8ZUKCSDOcD+AvKW+iCxzdRWAuXAFEE2bP7hRRvzoNs7+yRgFBpDL+eEBAROiAOLmvlICCOz435DYFQvLhxftL1gEkIK8P83Ezq4HkKrWchV3uboKwFzYAoimbZ197Uk9mkRreL32/S6c9IMTvRYYQPaUDx/lxHoBj4QpgLi4r5QAAns+HVYn9udr2CK/x5IdAaQQ/8xeamK6uLvys+Qq/ujuKgBT4QsgUdVbVi9fX+lcf4UFkK9VZfnIubUDrgtVAHFvXykBBHZ9MawsukHWHbbQ77FkQwApRGadMWrr7sqnq3K02t11AGbCGkCcVlgAuVU+eie7P6UCXgpZAHFrXykBBPZ9f0l5dMMsPa4If8gigBSia84A0t7dlW9VBe5hd9cBmCGAOKOwAHKofPT5Lo4GcFzoAkiU0/tKCSBwwrJLGkS/oZYcZ3bNGt8QQArxxYCOJuoJt88B0bQ/y3Uc7/I6ABMhDyBbv/vvp6uc6KigAPKL2oE+w4nVAl4JaQBxGgEEzlg1omHsV/J+7/o9llQEEGe4PwuWpj0h11G+0eWVANmFLoCsmPv820ujRz9FZvxRL997XWF/OpGCAshU+eCGW2yvE/AQAcQRBBA4Zc31O8QiSJ/pfo/FiADiDC8CyHq1m+UZl1cCZBeuAFI5uYdervebJhciFySOs6x/s6fXAVF7PQfZXCHgrVAGkKqln8ybNX32e5+vcOqULQIInLNhTItEBCmekwoJIM7wIoBoar6/oW6vBMgqVAFk+YGJyHFD2ux3p1fb67qQALK9mXzwQ/bWB3gsbAEk8uW44zvXTVSIZr3OeX6TA90SQOCkTePbxbbQHlNt/hFzDAHEGZ4EkAdUcdvm9lqAbMIUQDZ0MiSOZ5bpMxm267tXqb58q72+Cwkgs+RjS1fYWx/gsXAFkIr7OooM9YZ+bbtjAgictXXiLrHts+vUKr8HoyOAOMOTALJSXVVmpttrAbIJUwBR19wRpZ1O6L+b/O8e5whRcrWaALvijd7qO8H3tvouJIBcLB/7O1trAzwXqgAyq21m/NDLx/lbbfZMAIHTtt7fIbZ9HrTe77EoBBBneBJAtD5yLcNdXwuQRYgCyBK1q+P4Zermgp31an1P7J7tp8mFC2x1XkgA2V0+9iZbawM8F6YAMr409oWuTuvOvY8d1Lf7rk3iEeSQNfa6JoDAedsf3jO6ed6bcVfkf4/fMfrh2b95OBoCiDO8CSDj5Fp2LI5dZwibEAWQ0fKlnh47Ue9lVau7JGb3/01mgha2DqAtIIB8ptb9mZ2VAd4LUQCZoX+X233kjDXJE3srF049o7Fq7m+pUFQvWZzdVQQQuKDqiX3V1pl+buGqK3aNJpNGJ77n2VjCGUCcn7DCmwCyRG0e77i+GiBTiALIkUI0j/96WdlGvu7JyfvUjwAf5+/iyyuHmxDWA8iN8qEdCh084LPwBJBNrdRHdHpm0Nh8S315z30WuvjeeL5Z5oFczo8ZoVf93MF1hqQeIRi5tXFyqyv5s82dd5aFLoC4NGGFNwFE6y5X83f3VwNkCFEA2cU49+258nUbrt70hlx8PG8PK5vl+lYh7rI2jl7yoRcXOnjAZ+EJIFPkKz0g+8H0H8ovdF0s/MB5Yc5KUeLwgIFsKoambne7fOTNekMWQFybsMKjAHK9XM1u7q8GyBCiACKr4sjEgvrMGS6BvkIujs/bw/Sc3yrEdZaGsUodXj6r4NED/gpPABkgRNlSk/smCUv7Si8jgMBvVQOim9texwzqVU+/1fI7T1YcrgDi3oQVHgWQT9RoP3V/PUC6EAWQukKMTizcLV+34YfMzXLxxrw9rGia82vFDEvDeEg+srHdygR4LTwBpFOO64RWNBLi3/m7WH5wrkrBIVjwwBVqWys771t1e/29O6qlLk4cGZRXqAKIixNWeBRANLUDZ5QH6wHShCiAyAI8LLHwuHzdhvs+FpYO7f7icrNzQMqF1fO4BslHDilw6IDvwhNAGhj3labrLsRYK51sWped2vfKSehw3yfqm3GrOfHFNX3Vd+L/82LNYQogDkxYYcqrAKKSag8P1gOkCVEAOUCI/RILK2fONF5752n5Nkyz03lzqwFkqypMj9pZFeCH8ASQZkJcaXpnVysHa+bANLzwxtFyS2vwQXJ5S0+1832lB2sOUQBxYMIKc14FkLkqLC32YEVAqhAFEHVY9hyT+wbL+5bY6dxyAFE/mNTxajYSwDHhCSD7CnG42X3ry4V4zk7nBBB44mc1NfxtxpZv1DxNd3uw6hAFkCnC9oQV5rwKINU7erRhAKlCFEDelC91x/9lvesFtRPVVqmwHEDOlw881M6aAF+EJ4CcIl/pByb3jZL3fWuncwIIPDFBbmgtK1Ka1Ef4CA9WHaIA4sCEFea8CiDaeXJFY7xYEZAiRAEk8jv5Wuue+cIXm9PuqBirfhm6w1bnVgNIZBf5wFttrQrwQ3gCyCvylbbLPonmlBIhetvqnAACT5wlN7QzUpvU9Xcbe7DqEAUQByasMOdZAPl+V7H3qvwPAxwWogCifR6/KNObhsbXrhuojuIUe9qbHsRqAPlIrcv+BOGA18ITQKq6yZdaPirjaPnIgoHq42vrCCwCCLwxIPNXtR/V5rvB/VWHKIA4MmGFGc8CiLbt80pP1gOkCFMA0V5vEQ0gsw1tvaJNO3xmr2urAUQdwbGHvVUBfghPANG+aqBPYNp/9MxPlm1Sh2ZWrl30/hOXdNFLxbn2+iaAwBNqIuhHUpt+E3bPdbQmRAHE1QkrvAsggC9CFUC0ZSfXyR5Aui+y2bPVAKImIrnC5roAH4QogGhvthQJZW3aG6//c0ZF/qfnQgCBJ44RGb+/L1MbsAdXAglRAHF1wgoCCGq5cAUQWYLvP/XADm8ZGmQAKe3zVJXdfi0GEH1mkrfyPgwoOmEKINrS/iKrVhNszVWhEUDgkbPlhnZqatPzsqmpB6sOUQBxdcIKAghqubAFkAx3j39pnQPdWAwgD8iHNdvuwPoAj4UqgGja/MGNMuJHt3HpE1gUjgACTzys/tZsTGlS35aP9mDVIQogrk5YQQBBLRf6AOIQiwHk2MxfpYBACFkA0bSts689qUeTaPSo177fhZN+cKJXAgg8sVodbpxy4XP90ugPeLDqEAUQVyesIICgliOAOMNaANmiKvOTHgwHcFroAkhU9ZbVy9c7OEUMAQTeUFfXrWuY8XH93rKhuRP7+/MJUQBxdcIKAghquZAHkK3f/fdTR+a/thZA1AUPy7z4CwA4LaQBxGkEEHhDv/B54xfii8v2U1+Jb8v1DKeEKYC4OWEFAQS1XOgCyIq5z7+9NHoiaWTGH/UysdcVP9ru1loAUecFHmZ7XYAPCCCOIIDAI6PVX7eSwe9Wy9tLr9evgnXwVi9WHKoA4uKEFQQQ1HLhCiCVk3vopWG/aXIhckGiVNS/2W6psBRAqtsKu1dcB3wSygBStfSTebOmz37v8xV2K0QcAQQeiZwc+ybc6w+dord2/tmTFYcrgLg3YQUBBLVcqALI8gMT5eEGTfunsVycXm2va0sBZL5ak615+QC/hC2ARL4cd3znuokK0azXOc87cQkFAgi8Unlx2pfi771Zb9gCiFsTVhBAUMuFKYBs6GSoxc8sK1P/add3r1J9+VZ7fVsKINfIB+1jbz2AT8IVQCru65h5UEW9odkn3CwEAQTeeWjH5NZbdkFagJ534Z3uXJUwfAEkyukJKzwOIFuev+bMP51z/WyuEwCvhCmAnKWqcGmnE/rvJv+7xzlClFy9WjZXvNFbfSew9+OQpQDSXT7oH7ZWA/glVAFkVtvM+KGXj/PtHkRPAIGHNt28X3TL3XH4wrS7vi0XovW4LS6sNKwBxGmeBpClpzeIFbkdrljr1UoRciEKIEvUro7jl6mbC3bWP2j3xO7ZfppcuMBW51YCyDJ1GfS5tlYD+CVMAWR8aexvcZ3WnXsfO6hv912bxCPIIWvsdU0Agbd+eHXK/S9+nHmM8eP69tz2LptTNWVBAHGGhwEkcnO54XeWHR7zZq0IuxAFEDUnyOmxU0lfVp+yLomdpb/tLkQLW2eBWAkg98jHtKyysxbANyEKIDP0v8K7j5yxJnnqeeXCqWfoEwn1t3e6GAEExeGH2IyxO9+3zeGewxlAnJ+wwrsAsvWUtF29Vzv1GoAcQhRAjhSiefzXy8o28nVPTt43Ti5+bKdzKwHkKJWA7KwE8E94AsimVvKldpieGTQ231Jf3nOfrc4JICgSX51QEv222eFBZw/7D10AcWnCCu8CyBn6uMsH/P2Wy35fR799kyfrRciFKIDsIsSgxMK58nW/m7zvDbn4uJ3OLQSQTWof5zN2VgL4JzwBZIp8pQesz3rXh42F6GLrx0ECCIrGp0PiEWSig+dOhy2AuDZhhWcB5C414rpX/aIv/KCnkdJXvFgxQi5EAURWxZGJhevl6zZcAn2FXBxvp3MLAeQZVZU22FkJ4J/wBJABQpQtNblvkt19pQQQFJH3jot9Yd59onNHB4crgLg3YYVXAWRNM7Xb5o3E8lQ1Q+hezuwVW/3Qn/dr127/IY/YPHcOtVKIAkhdIUYnFu6Wr9vwQ+ZmuXijnc4tBJDT5UOOsrMOwEfhCSCdjPtK01Q0EuLfdjongKCozDsi9oV5n6lORZBQBRAXJ6zwKoBcpUY/09Bwrxr9gw70vHZE4tz2usNXOtAhapcQBZAdhRiWWFAzgBju+1jYPLTbQgDZTT7kbjvrAHwUngDSwLivNF13Icba6ZwAgiIz97DYd8R9pzlz6nGYAoibE1Z4FEAiu8j1nJ3S9EfZcpj9nl9rbtwl1PJ1+z0mbPl2/tcbHewPvghRADlAiP0SCytnzjQm/qfl2zDNTucWAkgfIcocuT4q4IPwBJBmQlxpemdXmwdrEkBQdGYfHPuO2M2RCBKiAOLqhBUeBZAF6l/+25QmNU1o2Tq7HU8qSz0orewhuz3GLB21v95h5xFfOtQj/BGiAHKZfKlzTO4bLO9bYqdzCwHk6z92fdLOKgA/hSeA7CvE4Wb3rS8X4jk7nRNAUIRmHxj7kthruv3OQhRApggXJ6zwKIA8IlfTJbVpa6P8X2jyelWfT6vhqVPeeOORU/SrHJbNttmlbv0VyWuW1DlruRNdwichCiBvype64/+y3vWC2olqq1RYuhI6EFzhCSBqTvwPTO4blfFjYYEIIChKsw+IfafrbTuChCiAuDphhUcB5GaRedLbvnaPCdG0lTuoremUn6NLPw5RSy1W2+tTWbRPym6VdvPtdxkV+fC6k3/fe+Blr9idPACWhSiARH4nX2vdM1/4YnPaHRVj1Qzed9jqnACCWi48AeQV9Wct+ySaU0rkFzRbnRNAUJwi03vEvtP1eSP/o3MJUQBxYMKKVZcNMdHUmwDyT7ma09Laesm2h40Nf69X0qLTQUedfP7IsZOfe/PjpfnPv/ib2pT+L7EYuUYtX2x7tF/EzyvZITaFdP03bfepVD+6ezzTNL3eiau4wIIQBRDt88ax7cu4wb523UB1FKfY094mRwBBLReeAFLVTb7U8lEZk7ZEFgxUpcLWEVgEEBSt6mmd4xHkbTv9hCiAODBhRV+RiwffztRVQI5Ia2sv24xXAvkwY2BlrffqdfTQC6+9/eEX5nz2Y/qvupq2XP2sO9TQEDlJNtSzOxXWGv2aKw0ueXerVvnxtfpOlpbf2exT+fFg44tra2v7T7HuibOPPuD3p9z8hWM91iZhCiDa6y2iW5fxQMResTT9mb2uCSCo5cITQLSvogcs9x8985Nlm9ShmZVrF73/xCVd9FJxrr2+CSAoXtXT9ox9BetndhCiBSEKIA5MWFE/ZwBp5+BgTTwnV9M09bCjpWrvwueGhnk5B6mSRdt9zk3ZKzJBNjZaYWxZrk4ssTu57zC1sl7LYktrj1WLfW32KX3ULvXl1H04/3Os+OnsuvEu95uZ/+GhE6oAoi07uU72ANJ9kc2eCSCo5UIUQLQ3Wyb/FJW1ad/U8JfpjAp7XRNAUMy2T90jHkEW1LSPEAUQByasOC3nF/t+To42u7VqsqqnU5pGy5a2xqm9IqfnSyDS5cYujlfFMnVFfxE5Dliz5hN11ZVDkzW4Su1WES/Z61TTfoheTLLriAmPjD5c/5JYx5ErwU9uYHx/BnId6nThCiAygtx/6oEd3jI0yABS2ucp21dgIoCglgtTANGW9s/+J7bVBLvTlBJAUNy2T9w5urGXHFfDU6hDFEAcmLBi+5QxJtRRQZc5Otzs1EFge/1maFihLo0+PPVBqz59+z8P337N304d0GvPVnWyVseBxser/cVp034+Jpu6pbRsXLBg0eLV67ZZHupZsosWqwwNWzqJzAPIClV9kBr+PrOiS98cp5aaLcv9HCv+nvYG7evYdRgqZtxy6dnX3v+NU/35JWwBJMPd41+yPd21RgBBrReqAKJp8wc3yvgD221c5qHOhSKAoNhtm7hTdIMvHbKwJs8PUQBxdcKK4R4FEDULqDglucPjt0NUkcp50sKGpR+/8eyDt408/6QjD9yjRfR08LopOw2yfCWaK5taGhv+1yJeWhs2b9dx7569+h01ZMjw4VeNuHHMPRMfnTZ99pwFqed3VLWWj70lpelJtWab3+GmqCH0S+yfiKjT8g2Xra6pMdGXNvj2JyZcpp+6InrY/wOiLD49fj7zPpMqHenRL6EPIA4hgKCWC1kA0bSts689qUeTaJ2v177fhZMc+fmKAILit2V823gEqcGk0yEKIK5OWOFVANEOVWM9/pfY0hL9mjBn53xGmnWLF8yelpoV1Pnh81If9Y5sam5sGJZ1R0oq43ns2seyoeTHlE4r1HfxFwoZbIbqDrKLLsYzWNQfu9LsudK6N9ThYiUXrY/kd6wAACAASURBVNEXIk/qn6i/2OxTqfpnPcP7s89HDnTpGwKIMwggqOVCF0CiqresXr7ewV+ZCCAIgs3j20S/4NQdVvAkQyEKIK5OWOFZAFmk74nY4bpPKrVt8y7Wz4rfy+6BIepqHWmTEKudFfsaGy6zEEBSLqWS7fvqYbLtXmPDin8Ov2rEqDFjJ058atr02W8sWPDN4p/W/ZpjqPoZ9q8bW35Vb8hoy681q+r9VKlPHoX2o7q2Son9q5ZsOCb1/Wlo83otRpu+fvvdZdud6y+vcAaQqqWfzJs1ffZ7n6+we0R3HAEEtVxIA4jTCCAIhg2jmkW/4dS7ocBnhimAuDlhhWcBRHs9dm3x0vhFNlrY/flfU1+T/5radKZsOsHYsPbY5iKfEmP+nSwyD2sbKtuuNSxXdzXpqXHzth336Nmzb79jhoxO+Ze5Wt65X2qn6uyNg2v4ymOeUes0Xl5uibrgQ397ncqAGz09se5hw68Y2kG/WedVu31G/TruUP3cnqYnP+/U9+K8QhdAIl+OO75zYmY00azXOc87cdEZAghqOQKIIwggCIp118aOQCxwkvpQBRAXJ6zwLoBo77VNGftetvOHdq/6Kpty4fNVamt6IOOB69ctW/zZgrmzX5r2+MT7xtw8YsTw4ScPGdCvd88uHXdu3rjt7cbHPiXST2PXtBNE6mkhK/JmGpF2QcQ/pUUY6S3Z1CSl5ZeZs2e/uWDBp4sX/7RunZVkqS793sM4k5h2j6r9ayw8NRf9xPb6I6PHy72tz+K6w2KbfSpVtxuSdM85DvQYFfnw2mO6737QwHFZZ5oNWQCpuK9j5rZYb6j9T5tpAPni5uMO2H3/Y2/41PYqAD+FMYBsWDDrP4898uyr73xne568OAIIgmPNP/SpGOalt/80YXDvjl2PuuLtrJ+LcAUQ9yas8DCAaD+fUZoYe/2rHJgv9kf1a/qZxhZ1xkfZcludvq1yQdohQurimVMNy/qhT/mk7N3IuOy7pv2gHmQ8K+S7Vmk9NGrevH3Hjvv37NlPnTl/6vDhF12Xctr+9iZp49K0rWr32GM1fvG6r9ScyW3fjy9WXqzG8md7fSobj095dXXG2O9S91Jyf9SR/8tyd6gCyKzUmJ9Qev7W/E/OySSAvHNIYh0HvZl5NxAYYQsgP91/zM7JElHe7dRH7f52pSOAIEhWXd5ADE77Kf+7k0vin4v2U6sznxO2AOLWhBVeBhBN+/yqvfTxH/AvByaglc5Rnd2aXL5ZLZ9nr8/VKtWkHnH0teo2Zb7oNaOHDz91yAn9jujZs3PHXZpnPcorZSYtlVieSFuRepCx4F+f/atjisbGN26palmb2qva1XJNjV+8brDsoqHxCj0q1pXY/rRt7BF9CSU7xo8hdORv/aY/pXzPvjqjWIQqgIyPZ/w6rTv3PnZQ3+67Nom/NYfY/HKRNYBsPz9l87R7RCjgo3AFkC8GZv59KT3iTfvHxhJAECwbf0xruLeu8VNxyIqMZ4QvgEQ5PWGFtwFE2vDVvG+2ONXZT/q3q7/GvlmtVn8/RNPMjaUwv5ed/CGlRX0B75CnLm9et2rx4o8W/Hf2zGnTHpw4fsyY/6Q8YYDsYmzqM/4nm+oZHzTZQgARjxue8J56uWnjuFK2nWVsmNuleduO3XoeduSQocMvHTF6zAOTp70we96Cbxev26hltV5NgJVydvwm9av6pblff17VJ+h/4E6dvV3T1k7prr+Yqfmfls+K7mlv0AnpV3wJUwCZob8Fu4+csSa5YVUunHqGPqVy/yw/5BQgWwDZdFjau/+7XDMxAEUtTAEkcn2pyOoPtq/8RABBoEUuTPtM7Ppl+kPCGkCc5nkAcdYLehFtdu6zH7z/zDn6D+ulti9ZPkF1c7+h4WW1kqvtdare52NSm26XTZ2MDVX/2Ktj2+bN64oc6htPc5gjG1qlregakTatcJYzApK9Nd+l4/4H9Ts3JbOpk2Aapp61fJP6VlvDVx73kFrhTu/FlqpvUzuaGtsNi1qFfoaK2Oeax2dOvTB6aaG0aQnCFEA2qYP4OkzPDBqbb1Hzzt1nq/MsAaQ6uvepwxWPznzsH3vot48K9kVjEGYhCiCRs6J/AtrsGb1Q1nEDD+sYSyTN7M44QgBBoN2kfw6an/XQjKdv1C8gLTqmHz5AAHFGwANI8pCTmNJ7bHe5TX2Tqps8j+I1FWya25wy+DnZR/lSY0u1urzL37I/esO6dd8v/m7Bgvdnz35l2rTHJqo9KteNGPG34RelTLH7jeyhJO2gF/U39EpjQ/5JwIQ4zPiEESLtgvOa9pV6kL3ftn/bRXaxo+EdeFT1eb6tPqULVC87Ph39vX/rOH2mtYdSHxKiADJFvtQD1me968PGQnSxdXRFlgByq3q7Gz8QzRzVD6vr8ojr7KwD8FGIAsiD6rPaesIqeXPx3+Uf0Z6/yL98H96kn9xY+ra9vgkgCDL96mqlI2JnKb++p/pMDEh7DAHEGUEPINp/4hfs1jWd7kCXL+mnH50ZPcdmzeXqlGwxwWafm9S1XE4ytjygup1lq9PNamgzU5oi7WVTSgi7p07+ANLC+ITTRcb+nirVR8peyOdPGvKX4VeMGHP7xMemvfbWgi8Xr8n+vTfhcbWelAuhqE2v3OQwMKu+UgPbM3lezLsqLLZLnZshRAFkgBBlS03umyTSzmMqVGYAWaPe7TbJya8WqpDZIP1wWiAgwhNAflEHL/81/qvaBx2E6KvvN428vre8Y6fVOZ6aHwEEAVa9v9x+y5IX+F7XR313SdstSABxRuADiPbT8LL49+jSYT870uW/9N7q/P6yW/5+VPSK4AVdsz0rdW6GMMz7NFcdE9PT5gl/fUX69FSvqdV8m9L007zZL06b/MCY0SMuHT50yJGH9+zWsW3zxHumS5kxeJBsuDltRepyPe8alj/IdvxwefNd9+jZu9/AIef+bcSoMRNTJ+5VMwYfldKyUr0DNq9weKoKnQsNDSptiHEpjwlRAOkkxCCz+yoaZVy1szCZAWSk+pTMNTQsUHugLrKzEsA/4Qkg6oDYU5J/fd4UiQM0Nx9r+00ggCDA/qO+Q9xlaFi9q2zolfogAogzgh9ANG3Z3f33athwr/73ODIvmBS5Ku2r9WnpJzYXbp1+qO1FsXMrqh/UrwX/hs1O75R9lBj3l1eoU7L3NX18yoBWL/5qwZzZzz498YEXU04aUJtE2hnnv6nBGgPFpGz7UdI0/NzYhTo74dHUXtWsvBdYGquZrep3vBtTmlR8+l1KS4gCSAMhRpre2T1jGoTCZAYQNaXduSktl8mWHe2d6w74JTwBRKaMhqsMy2cKsUcsj2zsJERbW2dyEUAQYOqy091T/og9ob7PLEl5EAHEGbUhgLjg0R0M36Qb2PreFveKfijUjtfNX7nhi7uj1xH5h90+N7SWvbRJnpdedZrq1uZlQEaJjCu0vyGbSo0nmywzvj9mRhmeUKEOa/sutVf1d+p4Y8PCXs2bN2/dsWPHTj17qouf9Os3eMiQIX8dPnz45SNGjBg1ZsyYO59JuULLq7KHsl9SOlWXdyw1/mkNUwBplnb+T4quQoy303lGAFmo/pFTLyD7vfC6LgOOCU8A2Stt1/kz8pXHr6GkDg7OuCxbplW/z1X8S10YNOC+avWHbnJq044idV4iAohTCCDZrb08/hW74V8d2rFyV0lajT7R/k/F6sLnomV84q8f+6vFA2x2+7bsoyR1Ksa/yqZDUlqWjr9hxEXDT/pTvz49O3Vo3iDr36BnDY9fphpSp9bST5k+yNhwtIVUk3KIkXr5h6Z2Wtkk/c9niALIvkIcbnbf+nIhnjO704qMAKLe2F3SHrSPbHvSzloA34QngDRNm2ldzWfyVOz2Emuf4Sty1ukSFwYNuG+V2nzTjuVX58VentJCAHEGAcTM9lnXnzPozGtf/M2xHp9pmFKiL6my32X1IL2rP0z6cu2ymefrOWAHu9O4V6mjpU40tnyhzhi51ezxuo2/LP56wZzZ056YeOeYkVcOP31I//73Gu9fp4aWdon6u2XTEcaG31kIICnXjv+nXD4tbSRdZNszxoYQBZBT5Ev9wOS+USL95KACZQQQdRxen7QHHSPST8EBgiI8AaRciNuMyxvkK78jdntr3mqvu4AAglroE7n1lqednPt/su3klBYCiDMIIB765sTkTpD97E2AFbfpoLTC38B+v9epfu5MLv/aWS43WWX+BCvUOS9vpjb9TTYNMza8nH1PSoqOxv07/5ANZ6StSJ0F85SxIUQB5BX5Utt9nfWuKXLT622r84wAcr9s6Jv2IHW1yVtsrQbwS3gCSPu00+/UNW0nxm5/YwgjOSzqkKtON3Fh0ID7FqhvUWltN8i2wSktIQogC2fnZqtzAoinPh7ZtVyI0vbnznDqTN2Kv6TU/Z3MfgAvwMY26hes/4vvoFmoDqsRN9jsVF0wMPXU9io1t0Tqr+W/qCufzJ41TZo0ceLEsWPGjLl2xIgRFw8fPnzYkCFDTujXb6hxyiv9JPyUfSiaFlHfk+cYW0IUQKrUtWXKR61Mb48sGKj+DW0dgZUZQNRsIXukPUid3OTA9e0BH4QngBwhRAfjHnh19d0XY7cny9tPW+ijcrGJqbKDnV0YNOC+n9SfyrWpbeeKtKlCwxRALs3zm7Ctzgkgnlv1k6MXi448mbzWeb3L1uZ/Qn7T9Ul2uzwsO4t8eJE+EXGvivxPy+lmkX7h84dVv7YOCtK/AjfYktKkfr8QKWfthCiAaF/p+5DK+o+e+cmyTWo3cuXaRe8/cUkXfes4N+/Tc8oIIB+rTr9PecwqNdPCf+2tB/BJeALIOJFybauq7kKUxC7+sb6dyDhatjCzCCAIrEr1NzRtwnr1Fev2lBYCCAEEUdueGbaLjAxN/zBuWf4HW3JbbNNqs1vsoKhdbV9g5bu6spvjDPt9lqgZvHqZP8GKDeq6Ew+kNKnfKrqmtIQpgGhvtkwWhrI27Zsa6sQZNjNkRgCJ7CTSL1l5k2xpnjJRGRAY4QkgP9QTol7iqr3V6mjY2Olci9ROzMNsdU4AQYCpw4hT53JRG7T4KqUpRAFk/sm5D4231TkBpHaoWr4l/4Ose7Beyia2nwPJRj9n8czEBVUWqSvupp8VUjB1znM749kpH6rz5a9LeUyoAoi2tH/2KtFqgs2LXma5Doj6J21onPNgqbpg5TANCKTwBBDtElUU/qzvv4y8c5haeEXdfv0v6ptVydzcT86DAIIAe0R9GoyHK/+mjmzeO/VBIQogmrbpfvXHX/Q4OytbXRNAkM18w4xUDUY6MRPYyraqr/2jpyxV3KFv0SfneU5ec1UvfZITYy1R55U0XZ3ymHAFEPlPN7hRRvzoNm6z7X4zA8hiFVM7J4+rW6t+PK3zhe01Ab4IUQDZ0FUvDK3/OHi/6OSMJ+o/UPTSb4/O9+zcCCAIsK27y+23STJdbD9JfSbSrq4WqgCiaV+pnxavcaFjAgiyirxwUvT4nW7X/uhMj+/pF38XHU6/9vKB0a/I+9n/Vvwn1U/X+CW0pqvDusRNqQ8JWwCRFXT2tSf1aBKNHvXa97twkiNXsskMINrlag27xndjvaOfjGTzTBPANyEKINrSPVN+ojg4epEmFUBKb7W5s5QAgiB7Sn0gGj0UO178u75qMf3qaiELINrVBBB4bPs3c15aYHP2XaNXmqb8yRMH2j6xRNPW6l96SwdO/d/i+Xf31rs9Ku36KuELIFHVW1YvX+/gfAdZAkhF9AfTwx/4YPGCydFjv7pvyv5soOiFKYBo608y1OKzYzu5e4mSAZ/Y7ZkAgkA7R/9MdB3zzqLPnv6LfjR6i0VpDwlbAPmpjACCgPuyu+FPXulfHbnE45dtU1ON2G9d2iPCGkCcliWAaMv3THv3OyzxY2iAE0IVQDTto2H6HmPR8i+JzHHrRAdO9yOAINC2DUj7s9Y442TVsAUQbX/3Asgx07z0r+PPuzwgzjv+bL+HYNWFJ5zu9xCs6N8i9omuc8CtDm1PD+yRUip6Tk1/wNUEEEeoADI6/c19pFvKu9/5QYf+VXVn/+lSvzdYq04beLHfQ7DqrOMv8HsIVp17/C1Obk959Q1XANG06m/mvPDmV05dkypOBZAWnv7DPXjiaX5vq1Zd+qeT/B6CZUNO9HsElp3650cc3J7+PTDlz1rLMRmPKA9bABnmXgABarkwB5AOHTqMdaKf5n7/IwLuC1UAcccsv/8NAQ+EKoDc6k4AOc/vf0TAfekX7A4T4VDlaJH3XQYC7+r8nwTk9rrf/4aABz7y8kPldwD5/JprZrnQ7f1+/yMC7jvRhY9OUAiHAsjhfv8jAu57yonPSkBEPn187CPv/prWOnf27Nm2uv25Xv63GQi4xuttfUoK5HcAcUnVdQf19JQ6kKNuw0BQ1+4u83sQ1qiKX+r3IKxRk/GWebvN9Rzm4FxegSMcCiA/nOTxv1qJHHl9vzdXa0rlUMv9HoQ1deRQ6/k9CGvURUVbe7vNHXyL3et1Bsf2+3fTv0jVHf59SnsHYfPqxtrLfb39V9sjWH/+hN+DsEgNtYHfg7BG/a3Yy9uN7gi7V1EuTC0NIJ47VaRfqbpoXSuHOtTvQVjzsBxqL78HYc3b6luF34OopRbOzkJtxbGbfo+vMOr756d+D8KaveRQ/+P3IKw5Wg51nN+DsOYiOdS/+T2IWmvFgYnfcsvuNN5hP4B47TmRcaXqYvWJSnx+D8KaTWrTcGBSNC/sKIfqbSDwWsA+kkWLAOIGAgikS/PsNPZ7fIUhgLiBAAJlze7GynCNYccPAcRFBBBXEEBgDQHEDQQQaAQQ3xBA3EAAcU9EbQei0R8uv+QIdfiK+FfyLgKIiwggriCAwBoCiBsIIJDGEUD8QQBxAwHEPa+pevDnNerm1+qya3UWJO4igLiIAOIKAgisIYC4gQAC5Ymm6o9G77ONZEOP2E2/h1cYAogbCCCQjpLv7T9ix11Vqhqx79b4XQQQFxFAXEEAgTUEEDcQQKBbcqh8e8vvMl7bWLhzBSH3EUDcQACBpm2uJ8SeFfGlqj/Id/qm+BIBxEUEEFcQQGANAcQNBBBEVY1W86we9XOyhQDiPgKIGwggrlFVeGJycVlTIZquiS0QQFxEAHEFAQTWEEDcQABB3Hw1K36L5xLLBBD3EUDcQABxzVPyrf3AsHybXL40dpsA4iICiCsIILCGAOIGAggSNp6l/nKcvTG2SABxHwHEDQQQ10yQb+0mw/LWjvJ7cex6hAQQFxFAXEEAgTUEEDcQQGDwTHP5Jnd8N7pAAHEfAcQNBBDXPCbf2kXGBvUdfkj0JgHERQQQVxBAYA0BxA0EEBj9eJiaWXNUpbpNAHEfAcQNBBDXvCLf2heMDZG+smW6fpMA4iICiCsIILCGAOIGAghSVN9aV20S6kdOAoj7CCBuIIC45mf51p6X0vJNfSF2+lXdIoC4iADiCgIIrCGAuIEAgjQfdZZvdKPJEQKIBwggbiCAuKeTEGVvp7TcId/tI7dpBBBXEUBcQQCBNQQQNxBAkG7zeeoPyJ/WEEDcRwBxAwHEPbeqnycmVRlaqvrIpsGbCSCuIoC4ggACawggbiCAINMLLeV73ZYA4j4CiBsIIO7Z0E59vWx/4f1z1sebFjWULbs9tZ4A4iICiCsIILCGAOIGAgiyWH6U0BFAXEYAcQMBxEXz6kZrgxidaHpNbyorJYC4hwDiCgIIrCGAuIEAgmyqx5cTQDxAAHEDAcRNc9qmBxBt5g6xUBKwbzsEEDcQQIpJwD6SRYsA4gYCCLL7rH+fPn0m+j2KGiGAuIEAgqg117ZICyDa98cQQNxFAHEFAQTWEEDcQABBrUMAcQMBBHHb3rnxzKMfTml694KdCSAuIoC4ggACawggbiCAoNYhgLiBAILcNn324p1+j6EwBBA3EECKCQHEGQQQNxBAUOsQQNxAAEFtQwBxAwGkmBBAnEEAcQMBBLUOAcQNBBDUNgQQNxBAigkBxBkEEDcQQFDrEEDcQABBiqqln8ybNX32e5+viPg9lJoigLiBAFJMCCDOIIC4gQCCWocA4gYCCOIiX447vnP8eiBCNOt1zvOb/B5TTRBA3EAAKSYEEGf8TW4pd/g9CGtul0O90O9BWPOCHOoAvwdhzWdyqHv5PQgEQGu5pfzg9yCs6SWHOsfvQVgzVA714fwPKwbXiaBewiYQKu7rKDLUG/q13+Mq3Fty4L39HoQ1y+RQ2/g9CGuqGghRZ73fo7Bmb/m2fuL3IFxFAHHGwrZinzV+D8KaNXuLtgv9HoQ1W/8gmr7t9yAsOlXUe9LvMSAAHigTF/g9BotebiCOqfJ7ENZ81FIcsNHvQVjz426iQ0ASaADNapsZP5TS87f6PbRCVR0tGs7wexAWnS/KgnJZpttKxUi/x2DRv+uJk/0eg7sIIA757dNKv4dgVeWnv/k9BKuqvwjITxXSN6v9HgECYfl3fo/Asl++CswB9Js/C0hU0rStnwbuu3BgjC+NBY46rTv3PnZQ3+67NolHkEMC8gthUuSrX/wegmXfLfd7BJb9uNTvEVi2+hu/R+AyAggAAAi6GXrU2H3kjDXJ5Fy5cOoZjVVz/2ofRwYgAwEEAAAE3KZWMmd0mJ4ZNDbfUl/ec58PQwJgigACAAACbopMGQdkP2r3w8ZCdAnMAYVAKBBAAABAwA0QoszsAP9JMpx87OloAORGAAEAAAHXSYhBZvdVNBLi314OBkAeBBAAABBwDUSOGVa7CzHWw7EAyIcAAgAAAq6ZEFea3tlViPEejgVAPgQQAAAQcPsKcbjZfevLhXjOy8EAyIMAAgAAAu4UIcQHJveNkvd96+loAORGAAEAAAH3igwZ7b7OeteUEiF6ezwcADkRQAAAQMBVdZMJpHzUyvT2yIKB6lLoHIEFFBUCCAAACLqvGqigUdZ/9MxPlm1Slx2sXLvo/Scu6aJaxbl+jw5ACgIIAAAIvDdbioSyNu2bJpfEGRV+Dw5ACgIIAAAIvqX9RVatJkT8HhqAVAQQAABQG8wf3CgjfnQbt9nvYQFIRwABAAC1w9bZ157Uo0k0etRr3+/CST/4PSIAWRBAAABAbVK9ZfXy9ZV+jwKAKQIIAAAAAM8QQAAAAAB4hgACAABqow4dOoz1ewwAsiCAAACA2kgIcY3fYwCQBQEEAADURgQQoEgRQAAAQG1EAAGKFAEEAAAE3MLZWcgAMjR20+/xATAigAAAgIC7NOMS6Kn8Hh8AIz6SAAAg4AggQJDwkQQAAAE3jgACBAgfSQAAEHRPNFU5o/fZRrKhR+ym38MDYEQAAQAAgbfkUJk3yu+qNjQxCxZQpAggAAAg+KpG15GJ46ifky0EEKBIEUAAAEBtMH8PGTlaPJdYJoAARYoAAgAAaoWNZ6kTQc7eGFskgABFigACAABqiWeay9TR8d3oAgEEKFIEEAAAUFv8eJiMHXVGVarbBBCgSBFAHLHi1ScfmDb3N7+HUYBxl1660O8x5LP1mRO77VB/t5OfqvR7JPlsnDB498b12x855ie/R4IiF7hSQaVwFKXCE9W31pXBo9ciLcABhFLhguCUilBUCgKIfRvH7Rm9zFH5gNcjfg/GoifkcGf7PYg8preJXz9qrw/9HktO1XfsEB9pvYu3+D0aFK8AlgoqhZMoFZ75qLN8kxtNjgQ0gFAqXBGYUhGSSkEAse3dnQyXWj1urd/DsWRJ06KvFZERhre13mt+DyeH7YOMF9vtusrv8aBYBbBUUCmcRKnw0Obz1Jv8pzWBDCCUCjcEp1SEpVIQQOz6b13jliJ2X+H3gCyoUldrKvJacZcaYrNTrznvIHWj8WK/x2PuHDXAhkdcfNVxrdWtXtv8HhCKUwBLBZXCUZQKT73QUr7JbYMYQCgVrghOqQhLpSCA2LSmndw86pz7/Dcb50/opDaVg4r+2EJNGy2Kvla8qy4nddkmdfMl9SfkeL8HZOq/+u9sP6ibG/9eIm+P93tEKEpBLBVUCidRKjy2/KjoF/igBRBKhSuCUypCUykIIDZdJzeORm9Gb/92pdpsJvg7IAvm1yn+WtFXDvCG2O131Hi/8XU4ORwrB3dYdWzhKrmwU3XOxyOkAlgqqBSOolR4rXp8eRADCKXCFcEpFaGpFAQQe7a1kBvHxPhS5ES1u7TYTxnbuIco+lrxphzfoVXxpQvl0v/5OZwctqi/cN/Fl35TP6wU99lt8EcASwWVwlGUCh981r9Pnz4T8z+umFAqXBGcUhGeSkEAsecduWnsmtw9urqRXP7Ux/FYcZYQ5b2LvFacLMf3emLpXbl0hI+jyeVLObadk4snyMXH/BsNilYASwWVwlGUClhCqXBFcEpFeCoFAcSem+SmcaFh+Q9y+XHfRmPJNDnEu84u7lqxvZkQeyZ/84nMnDnzbR+Hk8sc+U4enlz8h1y83b/RoGgFr1RQKZxFqYAllAo3BKhUhKdSEEDsOVNuGvcbli+Xy2N9G40VPzQX4sjqIq8Vb8jhXez3IKz5XA51z+TiULk4xb/RoGgFrlRQKRxGqYAllAo3BKhUhKdSEEDsOVpuGnMMy5fI5Uf8GowV1YcJ0eJnrchrhfoJ6Fm/B2HN+lIhStbFlyLq6lHF+rsK/BS0UkGlcBqlApZQKtwQoFIRnkpBALHn4dGjR683LB8hN5V3fRuNBbfKAT6nFXutGCaH94Xfg7DoT3KsZ8UX7pMLHapyPRwhFbRSQaVwHKUCVlAq3BCkUhGaSkEAcdTCEiHK1uV/nG8+qivEX7WirxXqOkEV2vYXTtm7ScOOgx7c7Pd4cvm4oZpOo0LdjExtUHtPF4Ojir1UUCmcR6lADVAqHBGkUhGaSkEAcVKl2nd6rt+jyGFLZyE6btSKvlY0F6Kx9r8eImbHh/0eUC4vlskh7nH5g4+OPFgN9l9+jwcBUOylgkrhdJbb1AAAGOhJREFUBkoFCkapcEagSkVYKgUBxEFV58pNpex7v4eRw/lC1NH35RZ3rYjUkfVhTrlIuqCYr8Mzf7fkQJtN83s0CICiLxVUCldQKlAgSoUzAlYqQlIpCCDOWfZHtbHc4fcwcnhRju96/VZx14qtcnRNmsn/23PwiJP21j+Do/0eUw7br0nWiqEb/R4Nil/RlwoqhTsoFSgMpcIhASsVIakUBBCnbB3bVG0rI/0eRw7LWwnRK3p9o+KuFWujn7u+n+tLHx8gb5d84vOYzH3Y1fCritj5Rb/HgyJX/KWCSuEOSgUKQqlwTLBKRVgqBQHEGZHnOqoNpc71kfyP9Ut1fyEaLYreLu5a8bP+qRu4Pba4Sb23J/o6ohw+aCJH13rsm8vXzZuoflgp/bffI0IxC0CpoFK4g1KBQlAqHBSoUhGaSkEAccQ3ffWte98P/R5ILuPlCCfHbhd3rfhVvZktNySWn1NVeEOOJ/jop+ZycOfFJk3cPq5EjnRO7mcgzIJQKqgUrqBUoBCUCicFqVSEp1IQQBxQfaeaKE00uXGr3yPJ5bNyIQbFf0op7lqxXb2d/0guR7rI5Rf8G08u6iJRJyd/oRqj9vL6NxoUt0CUCiqFOygVsI5S4awglYrwVAoCiH2LDlWbdt1LVvs9kNz6C9F2TXyhuGuFVk8O7ynD8ilyeaxvo8llU305tB+Sy9t2lcsf+TceFLNglAoqhSsoFbCOUuG04JSKEFUKAohtsxqpSjFksd/jyKePyKKD36PKrpNIvWjp/8nlK30bTS4fp7+JF8iGop5hHL4JSKmgUriCUgHLKBWOC06pCFGlIIDY9aoK1u0CMEtBkGrF8XJoXxuWb5fLV/s2mlzUkaQDjQ13yIZr/BoNillQSgWVwhWUClhFqXBecEpFiCoFAcSm79XpQv1+9XsYFgSpVlwlh/asYfkcuXynb6PJJWutKOJZE+GbwJQKKoUrKBWwiFLhguCUihBVCgKITcfITWNwMZ8mljDxGoMecthD5X+L8xhIbYaIX9wo6ndyeYZfg8lpXnrBvVA23O3TYFDMAlMqqBSuoFTAIkqFC4JTKkJUKQgg9rwnt4zdNvk9isIV+fliFY2E2Cl5+c9P6whRb7OP4zG3Ue0rNxypu729XJ7n33hQrAJaKqgUTqFUwBpKhRuCUypCVCkIIPaos4Oeyv+wolPktUI7VY7v7/GFarWj989+DieHo+XYfl+VWBwrF9tU5Xg8QiqgpYJK4RhKBSyhVLgiOKUiPJWCAGLPzkKUrfd7EDVQ7LXiy1IhSidGZ8LeeIY6sPQzn0dk5m01uOGxCxptv0OOW9zu74hQlAJaKqgUjqFUwBJKhSuCUyrCUykIILZskltGaYc0c/0elQXFXiu089RH8Kjpa6uWP9ZR3Rzh94BMDVXDa3fXO7/8+v7kfdTtbkE4eBceC2qpoFI4h1IBCygVLglOqQhNpSCA2PJZtkkgivozGFP0taLikJT39ITi3QFZ8YfUf/72P/o9IhShoJYKKoVzKBWwgFLhkuCUitBUCgKILS8GtFQUf63Q1h5teEsvL95SIYvFRcZ//QGr/B4PilFQSwWVwkGUCuRHqXBLcEpFWCoFAcSWOwNaKgJQK7TIlJ7R97PewI/9HkseH53SIDrUOv1mRvweDIpSUEsFlcJRlArkQ6lwTYBKRTgqBQEExeu7Z++5ceLM4pwqL9W2uQ/fdvOk1zbmfyQApwWnUlAqAB8Fp1SEoVIQQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPEMAAQAAAOAZAggAAAAAzxBAAAAAAHiGAAIAAADAMwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPEMAAQAAAOAZAggAAAAAzxBAAAAAAHiGAAIAAADAMwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPEMAAQAAAOAZAggAAAAAzxBAAAAAAHiGAAIAAADAMwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQBx2shCi/qK0xrGy8R77fZ8hu6mw300ekSePbF++24zUxkq56tNcX7WD3jlNSv93SGH2bgbupSKQqBTFgUqBIkepKA6UCscRQBymaoU4PJLaGKRaUTVAvQLxWGpr4D5Aj6kX8V6uR1Ar4CcqRXGgUqDIUSqKA6XCcQQQh+m1QjyU2hikWjFO1LBWzJYPebBm67TxVDPUChQ3KkUNUCkQPpSKGqBUBAEBxGHRWrHDipTGINWKPeVKjn1k+o+prdQKwFFUihqgUiB8KBU1QKkIAgKIw6K1QgxJaQxQragoFaJXdUYztQJwFJWiBqgUCB9KRQ1QKoKAAOKwWK0QLxobA1Qrlsh1XJ7ZHLhakR+1An6iUtQAlQLhQ6moAUpFEBBAHKZqxVHyfzuvNzQGrFaMyGymVgCOolLUAJUC4UOpqAFKRRAQQBymasXbe8v/u8DQSK1w7ak1R62An6gUNUClQPhQKmqAUhEEBBCHqVrx3ly1v3RustF6rdj+xuSbHnhtW3Sh+t2Hb3ngzeWJO+Nb9w/P3jVmyryq9Od+/8w9Y56a/2tmp5un33bbhqxrmzv1trGPzt1uaLJYK1a+/9z4256cs9gwNWDGB950PNri5+664+VvKs2fmleW9ceYvNjMJ5i9mxm1Ivvr+HXWhJtvnfTOloKGDcRRKfKPh0oBUCosjIdSEUgEEIfptUK7QP7/3lsTjclasUjeuib56Dvl4of6rQ5C3KJV3bSjfqxnq9vlJh2ZuEv0yM9jl8YeHd26Fxxeoje3vMK4+VY92D366PKzPk40ttRX+9ROsnlJ5lCX/bVZ9ClNz4jd+6FIyDVjXvUjB8Yf1v76jXrTg8lnfp5zPLdo2jv9ovfsem911qfGTJYNhxmH0Fo2LDBZf+aLlYtH5Biw+buZWiuyvg5Ne+Po6NNEw7PTpvYALKFSUCkACygVlIpaigDisGitWK+22OsSjRZrxa+HJT4150Z+Oy6x0HpJ9NH61j2hbqK91X8THX2/X/ITJy6PJ2/943Of3rYkY6QTypPPqHeX3mStVqzva1iX6LBQtaV/4E3Hc4v2QFnijoHbszw1bl09IUpXJZdflQ/oHjFZf+aLNdSK7E8wezdTakX211E53NDa9PWMtxbIi0pBpQAsoFRQKmopAojDorVC+4/8T9ln8UZrteIGFeJ37FFf3wInHyP/r/7+rfWFY6OPVlv3U2q5tGU0Kjd4I9bPF+2i223sYzgwtg9PfXxeFImPT4qbou11Yk/5P9VmqVZEYhWtrE70v3v9pmV84M3Hc8ujcrnJfvtGP6PXZT41aZBseSC5qF79XWbrz3yxyVph8gSzd9NYK0xexznRxVidabQ4/b0F8qJSUCkACygVlIpaigDisFit0P4s/3twPNxaqxVy6z7l+4hWNblpdBvs+Po2TftfD3XzF/0xautuIMRRb1Rq218/VrW3W6ffsaWz2nJHvL228rNH1E1xZbR72eO1strscOyIMelHML6hHtZq3PdV1Uvv0nfRviobqysqFsqbf6+oqEg7GNTwAXpCPXrAzBXVVctf7K9uP6zur6iYIW/eL59ZnXM8wxqKjs/J11X5SBv1ajanP9Vgmmztl1j6rYkQ9daarT/zxSZrhckTzN5Nw0s1eR1vqZt9X1xRXfHVVbIHMdR0awDMUCmoFIAFlApKRS1FAHFYvFYsV4dCjo81WqsVQoyLns30tF4q/hj9eK9RHb2r3zxDbx8VfVDkXrVwkX77cnlr/9hOwIoRcqFONPbLz0t9UT7+t8xhblfr67kmurCut1zYNXrWWP7zxdR8gBfHmiPquNRTo7cNJ33lGI+soLHjIj9VWX9m+lMNfmssn7gmvvSsfMxJudaf9mKTtcLkCWbvpuGlmryO0+St02N17Rl5u5HrV5JF7UOlyD0eKgWgo1TkHg+lIrAIIA6L1wp9J2Cj2JleFmvFH2OzKURUMG7wfewx/xTGeC1OTUy5cK1caqzOflrXUIhmSxOdqk35RP2W+myWvpVtmGoTb5X4HK5TP1dM02/mrRWR+kLskJjiYqUadvRm8gOfczxNE+dXXSSXJqU9NcXpxuYT5cJrudaf9mITtcLsCWbvZvKlmr2OveSNxDQi+8qFLzPHDuRGpaBSABZQKigVtRQBxGGJWlGtTlIaEN0ULdaK9+LNaldr4sqh/5YLd+q31NZdLzmBXoV6zqOxXh5Kdvqr2meo7+1UHx/j1OFJaq/hhOTiJLnYX7+Vt1as2Xnnnc9O3tFWiD7RW8kPfM7xJF/944l3xaRWqDPEjord3lAuxK5Vudaf9mITtcLsCWbvZvKlmr0O2UXjRI15csSIEd9rQIGoFFQKwAJKBaWiliKAOCxRK7Rv1IQQj+s3rdWKsm3x5ssTvx1I81JqxRDDum6Uy+fL/x4jRMkvhvaTZPtH6kbL+I10VY2FaLgxubxRxvIm+se5wGsGRZpkqRU5x/NFonlevlqh5sgri3U0RcTOaTNdf9qLNc6Yl/UJZu9m8qWavY4+8r9vaIAdVAoqBWABpYJSUUsRQByWrBXazSK+R9Jardg30fx32fx1fOG9lFpxr2Fdn8rlAzStegf9P0njZPsj6ob8vJQYLwiU8sxexobfxT/FBdYKdS5Weq3IOZ7S5ETm7+WrFfr+1NivBeqYyyy/CRjWn/ZiTWpF8gkm72bypZq+jvPkf5s/XJmld8AqKgWVArCAUkGpqKUIIA4z1Irt3eTtv6hb1mpF8sOrakXiqMbUWjHDsK6q+kLspGmrRBb6HNzy87Jj1lG+JB9xsrHhFNnwsrphvVZs/+7lW/4ostSKnOPZLdlB/lrxrmw/Wr+1so4Qh+def9qLzawVaU8weTeTL9X0dXymT5XX5ozHlmZeMxWwhkpBpQAsoFRQKmopAojDDLVCe79URKdkcLBWfGVcWXsh6mva19m26dHq/pZpaTvhsfSKoGZj0GfptlQr1j190YBOdeKrSq8VOcfTN9ln/loR2U2Iuvo0dvfIRzyRe/1pLzalVmR7gsm7mXyp5q/jPy1iSzuf8uT6LOMG8qJSUCkACygVlIpaigDiMGOt0A+77LDJ0VqxzriyLkKURPQHZLhK3d8yI+HHTEj0GaM+i/quQwu14vuTS+NrKf19w8xakXM8hh8Q8tcKfbKOKerGIUI0i8+FZ7L+tBdrWFf2J5i8m8mXav46tLXnJS52WveErzWgYFQKKgVgAaWCUlFLEUAcllIrNqlJEC7LUSvGFlwrUjbMnYVooWmfyeaBX6dZqe43OWQx+mPF1cYGdSSiPi1f/lrxarn+GWlz5IV3v7paDSG9Vlgdj4Va8YWIXrFVjepvWu71p73Y5KLJE0zezeRLNX8d0oZpp8V/sah3W7ahAzlRKagUgAWUCkpFLUUAcVhKrdBmyqWS+ea14qKCa4XxAMOtMjHvoWk/xT5QmUxrhTpc8xRjg9pb+qK6kbdWfFFf3jzo0R9jRypmqRVWx2OhVmg9hKi7XtNukQ9YoOVev1mtMHuCybuZfKnmryOq+rP7TmmpV4uZOR4FZEWloFIAFlAqKBW1FAHEYam1QvuLXOy6zbRWDCi4VhinWJgvl0/QtG31oht5JtNaoSZn+J2x4aj4QPLWiqHqAcnzpHbKrBVWx2OlVtwq9Hm0uwvRPbZO0/Wb1QqzJ5i8m8mXav46kipfldVM7J3nUUAGKgWVArCAUkGpqKUIIA5LqxWrVZodnVorRibujexecK0YbFjXVXL5Fvnf3vK/ywztH7700kuV6oZprdCn7N6UXN4sl+vr083lqxWRBkK0S37yKsuyTNltcTxWasUy/QOsdpreFW0wX79JrTB9gtm7mSyLJq/j1yVLliSnO1cXfC3ZknXwgDkqBZUCsIBSQamopQggDkurFfqBkfXOTqkVQxN3vi8KrhV1f0g86ldVh9Q1bNSuzn8mV7m+mRC76Z8O01qh/zgxKbn4oFw8TL+Vr1askDeOTLb/R2SpFRbHY6VWaL8XonzDNfI9XBtdNl+/Sa0wfYLZu5msFSavQ53kd1myeaAwXggJsIZKQaUALKBUUCpqKQKIw9JrRUR9KksSnwoVvvesjt/Xr/BaIQbGg3fkLLl0kLr1rbzRaGHi2aPk4uX6LfNa8W/5mDZr40tr24j49VXz1YofhHEX4uoOqbUiWn4sjie1Vhgql5GaWuPxjkKcFFs2X79JrTB9gtm7mawVJq/jWfVvmPz5o7NcXJF98IApKgWVArCAUkGpqKUIIA5LrxXa9w2FLvqp2Fon8cnXIteIGtQKcYm+41GrvFItPKPfPkF9HhbFHj9VVqaypfpN81qxbVf5lF6/RBd+OVgu7LRNv52vVmxTsz88FXsBr+6hxrBPdEl94G/UChhPaq24MftA15QJ0Une/Wp84KbrN6kVpk8wezcNc3Nkfx2rVOlPTFJxv4j/FAMUgEpheTxUCoQZpcLyeCgVwUIAcVhGrdDuMNYKTf0+UXbVBrndfiq3xD6F1ood5cKB/15Z+fNjB6hOT4hupD/sIG83GjF7ZeSXN09UW/K/ok81rxXaa+rpbe5cWl297E71U0V80oW854sdp17AsOn/+/zFcT2ir0z864vl8o658la7R157fK3V8SRrheGpGY7VV7FrVXzZdP1m54uZPcHs3TTUCpPX0V89+K/vbIxUr3xlsLo9xuRNBkxRKagUgAWUCkpFLUUAcVhmrag60Fgr5ugLJbv32ln+p/uiQmvF4H8Kg26rY495pX60oV70P4OiCTxXrdBuiD60rCz631Gx5ry14oMS4wjOGaH/5+/yjnWxps+tjidZK4xPTfeEfs91iWXT9ZvVCrMnmL2bhlph8jo+jbXWjV0Gtfd2szcZMEOloFIAFlAqKBW1FAHEYZm1QvukjqFW6GcbxRzyszqZqbBaUXVp8vm/X5N4xty2ho3+ovi2m6tWaPeWJ59Rfl+8Nf81gyYnrgAq6o+JrO4Y/6zqo45/4K2MJ1krUp6aZpO+t/n7ZIPZ+s1qhdkTzN5NY60weR2vNDG0iuM3akChqBRUCsACSgWlopYigDgsS63QRhprhfZGr+gmttMN27XCa4WmvRj98UPs+1C1lrRp1K7R5tKB8xKNOWuFtvTMptGnND1raaIxf63Q3vtj9GnN9Kf9fEabFn2e0B/zSK9W9Xc/dKnV8RhqRcpT05wqH3a4scFk/aa1wuQJZu9mSq3I/jq0H8+NvXWizoCXQ3GsJpxGpaBSABZQKigVtRQBxAc/vvHALY+8XZX/gSa+fGrcuCe/Sm+NfPrEnTfe/+qGAjraPmfKbbc+8t+Cd/at/O8jN09+Y2vuB9VgPI6u3+oTsr+bSdlfx9YFU26/4baJc9x4eUAUlcImKgXCgVJhE6XCDwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPEMAAQAAAOAZAggAAAAAzxBAAAAAAHiGAAIAAADAMwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPEMAAQAAAOAZAggAAAAAzxBAAAAAAHiGAAIAAADAMwQQAAAAAJ4hgAAAAADwDAEEAAAAgGcIIAAAAAA8QwABAAAA4BkCCAAAAADPEEAAAAAAeIYAAgAAAMAzBBAAAAAAniGAAAAAAPAMAQQAAACAZwggAAAAADxDAAEAAADgGQIIAAAAAM8QQAAAAAB4hgACAAAAwDMEEAAAAACeIYAAAAAA8AwBBAAAAIBnCCAAAAAAPPP/4QxXTyEjBRoAAAAASUVORK5CYII=)
Here we pick optK=2
load(paste0(projectname,'plrObj_',chr,".rda"))
optK <- K[which.max(BIC)] # by default or customize given curves
### 2.2 code chunk number 6: plr
Y_qc <- qcObj$Y_qc; sampname_qc <- qcObj$sampname_qc; gc_qc <- qcObj$gc_qc
mapp_qc <- qcObj$mapp_qc; ref_qc <- qcObj$ref_qc; qcmat <- qcObj$qcmat
Yhat <- normObj$Yhat; AIC <- normObj$AIC; BIC <- normObj$BIC
RSS <- normObj$RSS; K <- normObj$K
ref_qc <- qcObj$ref_qc # IRanges object for exon target
sampname_qc <- qcObj$sampname_qc # sample names
Y_norm <- normObj$Yhat[[optK]] # normalized read count under null (no CNV)
plr <- log(pmax(Y_qc,0.0001)/pmax(Y_norm,0.0001)) # log transformed z-scores
ngs_plr <- lapply(seq_len(ncol(plr)), function(i) plr[,i])
ngs_plr.pos <- lapply(seq_len(ncol(plr)),function(x){return(cbind(start(ref_qc),end(ref_qc)))})
save(sampname_qc,ngs_plr,ngs_plr.pos,file=paste0(projectname,'plrObj_',chr,'_',optK,'.rda'))
For detailed illustration of CODEX, please visit https://github.com/yuchaojiang/CODEX
2.3 sequence variants BAF calling
For sequencing data without sophisticated pipeline and SNVs call set in VCF format, we manually call SNVs from quality controlled BAM files by mpileup module in samtools, and calculate B allele frequency(BAF) on heterogeneous loci by dividing AD (Number of high-quality non-reference bases, FORMAT) from DP (Number of high-quality bases, FORMAT). Example code are:
# Prerequest: samtools, bcftools and reference fasta file
cd PATH/TO/BAM
for i in *bam; do PATH/TO/SAMTOOLS/samtools mpileup -ugI -t AD -t DP -f
PATH/TO/REF/human_hg37.fasta $i | PATH/TO/BAFTOOLS/bcftools
call -cv -O z -o PATH/TO/OUTPUT/$i.vcf.gz; done
# The reference genome depends on your BAM built
for i in *gz; do PATH/TO/BAFTOOLS/bcftools view -g het -i 'FORMAT/DP>10' -O z -o $i.filter $i; done
We could further extract variants BAF info from vcf file by function bambaf_from_vcf.
### 2.3 code chunk number 1: bambaf_from_vcf
projectname <- "icnv.demo."
dir <- system.file("extdata", package="iCNV")
bambaf_from_vcf(dir,'bam_vcf.list',chr=22,projectname)
# ignore chr argement if you want to convert all chromosome 1-22
load(paste0(projectname,'bambaf_22.rda'))
2.4 SNP array LRR normalization and BAF
Because signal intensity files varies from platform, we set a standard signal intensity file format for each individual. The format looks as follow:
Name,Chr,POS,sample_1.Log R Ratio,sample_1.B Allele Freq
rs1,22,15462739,-0.096390619874,0.0443964861333
rs2,22,15520991,-0.154103130102,0.963218688965
rs3,22,15780940,-0.110297381878,0.0457459762692
rs4,22,15863717,-0.21270519495,0.957377910614
rs5,22,16532045,-0.0330782271922,0.0300635993481
First row is the rsid (Name), followed by chromosome (Chr) and position (POS), then the log R ratio (sample1.Log R Ratio) and BAF (sample1.B Allele Freq). We could use function get_array_input to convert into iCNV input. For example, in demo:
### 2.4 code chunk number 1: icnv_array_input
# PATH/TO/FOLDER where you stored the array data
dir <- system.file("extdata", package="iCNV")#PATH/TO/FOLDER where you stored the array data
chr <- 22
projectname <- "icnv.demo."
pattern <- paste0('*.csv.arrayicnv$')
get_array_input(dir,pattern,chr,projectname)
load(paste0(projectname,'array_lrrbaf_',chr,'.rda'))
For some of the SNP array LRR data, we need to apply SVD normalization to remove high dimension noisy and preserve low dimension signal. The best way to decide data sanity is by plotting out the data by plot_intensity
function. Noisy data has the feature of local strip across samples. Conventional way for identifying elbow points as the optK can also apply here. Example code for remove high dimension noisy and plot:
### 2.4 code chunk number 2: svd (optional)
library(iCNV)
projectname <- "icnv.demo."
load(paste0(projectname,'array_lrrbaf_',chr,'.rda'))
# standardize LRR
lrr.sd <- mapply(function(x){
x=pmax(pmin(x,100),-100);(x-mean(x,na.rm=TRUE))/sd(x,na.rm = TRUE)
},snp_lrr,SIMPLIFY = TRUE)
# You may want to substitute all the NAs in lrr by rowMeans
lrr.sd.dena <- apply(lrr.sd,2,function(x){x[is.na(x)]=mean(x,na.rm=TRUE);return(x)})
# lrr is LRR matrix, with row as sample and column as positions
lrr.svd <- svd (t(lrr.sd.dena))
save(lrr.svd,file=paste0(projectname,'array_lrrbaf_svd_',chr,'.rda'))
# Plot out the variance explained with K; You can store the plot in a pdf
# pdf(paste0(projectname,'array_lrrbaf_svd_',chr,'.pdf'),height=8,width=10)
plot(x=seq_len(10),y=(lrr.svd$d[1:10])^2/sum(lrr.svd$d^2),
xlab='rank',ylab='D square',main='Variance explained',type='l')
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAACWAAAAZACAMAAADKd4mDAAADAFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////isF19AAAACXBIWXMAAD2EAAA9hAHVrK90AAAgAElEQVR4nOzdd7gU1f3H8aFJE0RRQBEBiaBGCbFiVzRRNPZYUMSoEewa7KjRYMRuVGLs8lOxRSxRRI2KBUVFQTEWRBEVBWx0uJR7d35zZu/unN2dbfeeM2fK+/VHwpw595zvzPg883n2zM5aNgAAAJSyTBcAAAAQNwQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAHwdaWVta/pWlAKVwoIIwIWAF/ctqOCKwWEEQELCKnaLt590/q8WK9rpU7DlM7PbTsYx3rn+eyGjRCuKzVM13+QQMQQsICwOkPKTjcV67S71Ok1pdOH67YdXwQsIJ4IWEBYTZKy04AifRY28/psWKt0+nDdtuOLgAXEEwELCKu6rt6tqvki/z6PSSHsHLXTh+u2HV8ELCCeCFhAaP1FSk//9u8yROryrtrZw3Xbji8CFhBPBCwgtN6R0tMQ3x51G3g9eqbUzh6u23Z8EbCAeCJgAaGV6u7dq9b3fcDqXSmCXax49nDdtuOLgAXEEwELCK/zpfw02a/DX6UO0xVPHq7bdnwRsIB4ImAB4fW+lJ9G+HXYztu/heIVwpDdtuOLgAXEEwELCK9UL+9m1ddn/zwpgI1UPfmct7M+VT02PI0PWOG6UgQsII2ABYTYCClBfVO4+z5p98zgq4MKjQ9Y4ULAAtIIWECITZcS1L8Kd//R27tt8MVBCQIWEE8ELCDEUn28u9X+BXtXt/f2Xm+gOqhAwALiiYAFhJn0NcFWy/N3Tiy9gIhIIGAB8UTAAsLsEylDPZO/8zxv3y6Ff7rg9SfH3HzldbeP/c/Hqyueb/Yj/7jyvxX2bcgEqa8nj7v1qjufeHtV2a7fTXnu/htG3fnEa/PLDvrNO8/cM+rmR179dFmldSgfodTg3771yLW3PPHOd/7f8ywbsBp0If0rqfTsV3M+aj598Z5Rd43/YGn9NgELSCNgAaG2VYnb1Rbevn/m7ll4x2E9pWjWYusTJhTem9t6HSa5Dctu7S3NU/LG37AJvr4qu+TZ+vejCz6Rk4Z/4tRfeX+8+dBxa4p2XTb+tB5eHb+75cviozZohK+ko7CsJ+Vdb8l7mqffQ/ag19InfSi3ZC9T78s/85m+8efZf4QGn/1qzujqCYMz87Qe9Lx7lQhYQBoBCwg16R1HXfM+AfnK29U051OeaYNaWQXWO/vnvKHz78AvdM+5LZa48TdsgoVH5/5B5xuKxKafzm+dP/gmNy327bp05Nr5XXd6q8ip9Fd2hH/Ku/pIJad2lfdckW7MC1irLsk9lF0/Kiig8ee5ooBV6dmv5oymHuyc03HzD20CFpBBwAJC7XPp/vVB7i7pzr+P1Lzs/GaFd2Whw611OX+fewdOXZt3Wyx642/gBG/3KPiDvfOjgjv8JQV3eGGD5wq71t7Rxa/rEbMqPLkVjVC3u7znTm/Hs3J73/pVt9yA9dOO+SM3v7Qmr4TGn+dKAlaFZ7+qM/rl7/L7rXVrioAF1CNgAeHWz7tfXZm7Z6C35x6v9bve/ndl4U85P2iYewe+PP+2WOzG38AJHmru07/nvILjnbttscHPWZnXdfkhRXq2erbCk1vRCF/IH0JtmH0oqVZavbWaTa1vzQlYi6RF3KxtfsmtofHnuYKAVeHZr+qMvtzGp+NfCVhAPQIWEG5Xe/erHXN2LPeWj1osyLZ+v1nx27JlDZJXGXPvwAW3xSI3/gZO8HZL3/575q9Tfbhx8cEPzu38005Fezb7v4rObYUj/EPekU25/ye3XpJplQNW6ijfobdZkFNE489z+YBV4dmv6oy+4LN86RhHwALSCFhAuM3y7ldNcp60Gu/tODDbuLpvqduyZT0gDSDfgb9tV3Bb9L9tN3CChzsX6f+33KP91Hd5MGOoHCsW9inV9eYKTm2lI9TuLDW3+zHdWLOJ1Lhl9sM1OWDJL9qXbbdErqLx57lswKrw7Fd1Rl/0z2xWm128fxOwkGgELCDktvduWGPk9lO99oeyjdeXukU6NpDWp+SAdZDUp2TAauAEHYr1b79IPqYVW5ceXbrJp44u2bNp+UfdKx9hhhwmzkq33Sh3fTfbVQpY6+Z8/1B2mlxG489z2YBV2dmv6ozO71imQIGAhUQjYAEhd4N3wzpcak51zza3zryCyP6+5AdAwmhvBOkOfJPPbdH3tt3QCYq7Rj7W08p0buc9NfRAma69ltplVDHCdVJzC/eB70XrSU3ne4M+mD+KnyZyVmn8eS4bsIqTz341ZzR1cCWjE7CQaAQsIOS+8W5Ya0sviPzYaz4y23hlzv2t5y6HnHzCwNy1pgHeCNIdeCOf26LvbbuhExS3pXSoL+fu6rbP8UN27pTT9KdMV3lN01r71Kc+/n7Gfy+RV+2sU8qc12pGWLOD1DxItMg/w917hTeqX8Bq3alJ/kFLz+s3/jw3ImBJZ7+qM1oQxtZdx2d0AhYSjYAFhJ305PFLXuu1Xqv39kv5i21DMy+InHWhdH9v5j3/U+wOXCpgNWaCJgff8cHcxbPHn5r7dPSP3jHtK7cf8kb6iaup+8itX9R3/YvUdsRP9Y2rb1lLavZ7q6ekqhE+lpvft+250jfomrwpjVoQsHb/vx9S9urpIzbIaR3j/UXjz3NFAavs2a/mfKzuKo/R7Lj/LrXtJc8Napp37AQsJBoBCwi7m33vn3tkG9tn36wk/7DOrdII8rsyP822FgasTfc45NCde/0lvdvvtt2YCfb6PNP+7XZy+xO23+hN78g+0F4nPW1m/T3dtkT6netTpEff35Celjqj5FmtcoSrpBr2se1TpM1z5GHzAtY6D2SG/jnnCaf+3l80/jxXErDKnv2qzscj8hBbvp9pnpz3zUcCFhKNgAWE3ffe5xa9sne+hd5LKI/P9pS+ttY/57Xv3bwdE7ONeQFr6/tyf/TP77bdiAlOlV7dtEDqbl2VbR4qtV4nDb5G+gzv1+mm0V7LNjk/rHe3t6Ndzpf18lU5wuptpOJe/Fx6BWivnB+dyQ1Ya7/j7UnJocyanm1v/HmuIGCVP/tVnQ/5/albSY/bz89NWAQsJBoBCwg96VXi2UWax7y257MdL/Iac54dt//o7Xg025hzB252Xf5PEfvdths+wb45r8aU3rplDc80rpb675ZTzWSp+wy3ZUuv4SW5p10nBaHRdgnVjjBdelVnv8Olgl7L+evcgPVUzsB7S3tOzzY3/jyXD1gVnP1qzse70gAdvpc7f5Xz8lECFhKNgAWE3m3eLev6TNvx2aaO3q//HuZ1fDdnBCkQPJhtzAlYD9r5/G7bDZ6g2Yyc7quk+/DxmcYpUjnP53RPSS9o+rdomO9tb5gXDKUPXAbYxVU/whWWr9Nz/zgnYB2cu+8zKaP1ybY2/jyXDVgVnP2qzof31n/L+lduZ3kplYCFZCNgAaE333t4eM/6prpOfnexiY9n5byju25Tv/uyHLD+ZBfwu203eIJ98waX3neVTSHSs2ab5N3jL/V2ue/GfNLbPiZv5J+9XW2L/Jh0w0ZY5fvqz+5565A5AWt67j57iLQvu7DW+PNcNmBVcParOh97eS2b1OZ2rpHfuUXAQqIRsIDwG5C9ZTVbmG6RFmleK/23gvQRmH/+afpF4R8V/RHihkxwU94fSL95lw1YR3htJ+Z1/8DbdbTYPtfbvju/lp7evg/y93kaMMJUv99efinvb+WAtW3+wBOlnRMyjY0/z2UDVgVnv5rzsVL6IuJf8zvLT5oRsJBoBCwg/O707ln1T954izQb1pb+W/un546RE4Fv/tnN5+8qvvFXMsFTeX8zvPAWb0u/Qpj/w3ep97Lc1a7+Um3X5/mVty9v+UrWkBEusQqcnD+uHLBG5e+sk15/flmmsfHnuWzAquDsV3M+3pSq+Di/yleknQQsJBoBCwi/n7zPTganW7yv2p9T/M9+eOWOcw/qlRcJfPPPCJ+/ruDGX/kEr+f9pZRVMrf4OuklT5PLnBD5Neol+Cx8NmaElVvm7954Uf64csB6uWDW33s7j820Nf48lw1YFZz9as7Hvd52u7r8WhdJvQlYSDQCFhAB3hs413M/sJrn3cTe9eufmnn/2QNyX21ZeF9u69foKXnjr3aCSXl/73OLXyiNMc8uqS7/jZZFDFQ8wrv5fzWhYGA5YC0s2HuRz8iNP89lA1b5s1/V+ZB+OGiPwlMrvamBgIVEI2ABESC9F8l9bfiY7GbP/Lcr2HbN04NK/BKvb/55zmfO4jf+BkxQQcD6Shqj4HORXHIWK2VH1SNckLvX5xMyKWC1Ktz7T5+RG3+eFQSsqs7Hhd72sXYB74FBAhaSjYAFRMCCFtmb1kVi23sd0sX5XZeOWrfkLdI3/7zhM2exG3+DJqggYE31mlqWOR1yFiult+oRVvSRd264oHBgKWB1Kdw71tu7Waat8edZQcCq6nyc5G2fVniM0ismCFhINAIWEAUHZG9aWzlbq72fNcl/E8ALuT+OXOq+XOIOLBS58auZwCdgSU9Hr1PmbLxfpoSM9ZWPcIW80+/npKWA1atw7zPe3s6ZtsafZwUBq6rzIb2M68LCYzzB20vAQqIRsIAoeMC7a8227VezG1vkrRBeLz0p7mnZxe++3KCApWgCn4D1htfUpszZeM+vBh/NVY8wK/ft99MKBy79Cdaj3t7sm0Ybf54VBKyqzof3klvrzMJjHOTtJWAh0QhYQBQs9n5y95+2fV52Y2RuN/lHUOo12fKEO38Z5ndfbkjAUjWBT8D6WBqzxBtChVmFVfhqq3iEuj1z9/ZdVTBw6Wew/uXt3TnT1vjzrCBgVXU+zvG2jys8xv28vQQsJBoBC4gE792Q+8m/Gzczp9NsL4YJzfufcdc7y8SOk/3uyw0IWMom8AlY30sD/1z6ZEiPZDct9xowlSPI7/l0XV7QpfS3CP/q7Two09b486z2Iffy52Ok13mfwr3bensJWEg0AhYQCY9k71otl87O/jvvXeFDpZty0yEvLM3uONLvvtyAgKVsAp+AtUIau8x7sOSXCvxQuqvKEb7KWSAUmhe8K770e7C8R+msEzJtjT/Pil/TUPZ8SN+FXK/gS6yr1vL2ErCQaAQsIBKWts7etp72bnDX5/RZ7H3X0Nr6c3nP3n735eoDlroJfAKW7R1hqVewu6S3F3xUpqu6Eeqkn+DL+E3+ImHJN7mnpDdaXZlpbPx5VhCwqjof/5WOseA3luSnuQhYSDQCFhAN3psZ/rx/9p/f5HQZ793a2uXc+FLSN9IaE7DUTeAXsKRfayl4vdIaj9jc0+v6SKmTVlwDRpAeoPJckddJDljb5Y/wqrQz+xOSjT/PKgJWNedjkfQA/tX5O0dIx0jAQqIRsIBoeDx72+qc/a3dXXK7SC+APCxnx5fSTa8xAUvdBH4By3t031p7RW73D71dR4nty7zts0qcsxKqH2F2wQKh0PzD3F5ywCr4LEj6LcEW2SNs/HlWEbCqOh9be503y1sjXLOhVCIBC4lGwAKiYbnP/f2fuV0Ge3suzdkh3T0bFbDUTeAXsJ6WBhmT2116McANYltapNq88FX2lah6hDrpDeVNvfeQWf1W53TLCViH5A7xkfeTklI2bvx5VhGwqjof8iNiD+TuyvmYj4CFRCNgARExyMrXdH5uj4Herr/I7QvlH7NrTMBSN4FfwPpRGmSjpXLvudKD0+4PFy+VosqreUM/f33WVJ/Dqlf1CLdL1Q29QdrIfVNGTsCynpJ3rdlJ2vO3bHPjz7OKgFXV+ZDel2pt8KPc9TspehKwkHAELCAi5A940vK/I7+nt0tePEwdLf9RYwKWugn8Apa9qzTKEOljlNXSvO2Wu03Sy5Z2y32twBLpMaWc58PzVDnC7LW9xrbzajbxtlrkvEw/N2CtLf0Ud610Qq3m32fbG3+eVQSsqs7Hmo2lOrZb7HX9aaucwydgIdEIWEBE1LSz8tyT10P6Dr/1WLZ1zUk5f9SYgKVuAt+A9aQ8zBnZpbe6YXJzuk3+Ittl8sDLpZ/C273E2axyhJT09T3xYLuco7aRFwlzA5a1zkOZoDjvILn9GJXnWUnAqup8XCEX8tvso2ZTtsg9egIWEo2ABUTFcbl3L6tF/m8NnyntbHldeu/KJ7bM/avGBCx1E/gGrNpe8jh9X0i/z/2l38qtH6e7pqTnrK1Tvc9Q3ttcai/5dbjqRrhDauyy1Al9/aSGv0vD5gUsy9rjgZ9S9uoPLuiQ0/qOyvOsJGBVdT7mSAuKzn+IJ05cYdtLnx/c1MpFwEKiEbCAqBifd/s6ML9D7nsE2ux29JnH79Mm748aFbDUTeAbsPLflL7BASeftOfGOU3Zzg/IrR3OevLj72ZPGX9JX7l199IPa1czwtfSAqF1l2h5UWpoIX1bsCBgOVp3yv9hQfnSNf48KwlY1Z3RC60863XIb7EIWEg4AhYQFavy7mEP5Xf41uceV6AxAUvdBP4Ba/UuZcbukH10qW7fcnW0+Kz06axihNQ+UuuW6Q/Wfic1bev9dqJfwCqw7lyl51lNwKrqjK7oVa6zQMBCohGwgMg4Mefu1XppQYftK7jpjcn2bsBP5SibwD9g2d92LBzPf2z7hy5l6ri93OmsfIQ75dZn023T5LarsoNWFLAeVnue1QSs6s7oK5UcJwELiUbAAiLjxZy715GFHZ4vcqNrJj3GdEO2dwMClrIJigQs+7mSN+yL5EW/iflP/OT6u11WpSN8I3+9YM9MDdLLqqy1/pfpKwWsnrlfqfOcnLN22fjzrChgVXdGR5Xsm0bAQqIRsIDIWJ3z+c6TPj0O9L3PtZ1ws7dxaLZzAwKWsgmKBSz7cekXCfOdm/tQ1fi1i3dtckUlbw+tbISUvBpovZf549nSy7ms7TKLhFLA6vNuc9+Rh9YpPs+qAlZ1Z/Qy/37bS+9rI2Ah0QhYQHTIb9BuX+PTYWG/ghueZXWZao/1ttb6NNO5IQFL1QRFA5b9/kb+N26r1c35menDjYt0tTZ4sbITWtEId8nt0vsVhsvtmd/kkwOWfa/fyKfn5isF51lZwKrqjKYu8uvX9xfppRoELCQaAQuIDvnBl+N9e/y4U8Et77h5uX+4TeYr+A0JWKomKB6w7O+P9V2p2vZTu8Dcwflfz3M1Hzq3sK+/CkbIWSBca7b3tz+vI+/4JN2YE7Ds2wsOpfMj+TGx8edZXcCq7oy+2L2g4/4/2AQsII2ABURHbWfv5vV8kS7X5K6x/ca9uS6XG/eq79qggKVoghIBy7Y/O6bgLr/LE7UF3YSPDy+4x7c7aVaR09egEVK/l3edJ//ptfKeHdKLhLkBy35dfouUZTU9Of/dZSrOs8KAVd0ZXXpWq5yO64910iMBC0gjYAERcnr23tVxdbE+C278TSafdDnzzfr1KHk5p2N9x4YFLDUTlAxYtv3tPYO832dpvtNF7/r0qTfrXwd7HzE16TPkP35LpyWVHuEeOUGsm5OPVnST913jtuUFLHv1+MHZwfvfmvfjka7Gn2elAau6M7rovr0zNbY44P5FoomABaQRsID4WfzSmBuvuu/FT/w/9YnCBLadmjnpqbuvvvbep99aVq7r6o8nPjr6yhvv/vc7ZbtqGyEjP2A5Vkx59t6rb3ni3R+qHy2A8+yrmvOxaPpzd111+9PvLgygLiBKCFgAoIxPwAKQSAQsAFCGgAUgjYAFAMoQsACkEbAAQBkCFoA0AhYAKEPAApBGwAIAZQhYANIIWACgDAELQBoBCwCUIWABSCNgAYAyBCwAaQQsAFCGgAUgjYAFAMoQsACkEbAAQBkCFoA0AhYAKEPAApBGwAIAZQhYANIIWACgDAELQBoBCwCUIWABSCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAELAABAMQIWAACAYgQsAAAAxQhYAAAAihGwAAAAFCNgAQAAKEbAAgAAUIyABQAAoBgBCwAAQDECFgAAgGIELAAAAMUIWAAAAIoRsAAAABQjYAEAAChGwAIAAFCMgAUAAKAYAQsAAEAxAhYAAIBiBCwAAADFCFgAAACKEbAAAAAUI2ABAAAoRsACAABQjIAFAACgGAFLjZULAACAditN3/ErRMBS4u42FgAA0K7N3abv+ZUhYKmwinwFAEAg2qwyfdevCAFLhR9N/9cGAEBS/Gj6rl8RApYKBCwAAAJCwEoON2DNNP3cHwAA8TaTgJUsP0bnggMAEFkRut8SsFSI0AUHACCyInS/JWCpEKELDgBAZEXofkvAUiFCFxwAgMiK0P2WgKVChC44AACRFaH7LQFLhQhdcAAAIitC91sClgoRuuAAAERWhO63BCwVInTBAQCIrAjdbwlYKkToggMAEFkRut8SsFSI0AUHACCyInS/JWCpEKELDgBAZEXofkvAUiFCFxwAgMiK0P2WgKVChC44AACRFaH7LQFLhQhdcAAAIitC91sClgoRuuAAAERWhO63BCwVInTBAQCIrAjdbwlYKkToggMAEFkRut8SsFSI0AUHACCyInS/JWCpEKELDgBAZEXofkvAUiFCFxwAgMiK0P2WgKVChC44AACRFaH7LQFLhQhdcAAAIitC91sClgoRuuAAAERWhO63BCwVInTBAQCIrAjdbwlYKkToggMAEFkRut8SsFSI0AUHACCyInS/jW7AOv9wx72mq0hTdsGXKBgDAICYImAFYFtxkq2hK03XISi64At3sbaPxn82AAAYQMAKQDpgWTvMMV2IreyCX+OMcoGCcgAAiCUCVgDqA5a1waumK1F2wUc5o/RIKagHAIA4ImAFIBOwrKYXGV8mVHTBPxLDTFFQDwAAcUTACkA2YFnW1h8arkXVBd/CGeb8xg8DAEAsEbACkA5Yu7v/22LUGqO1qLrgl7JGCABAUQSsAKQD1poR6Q+xtnvXZC2qLviHYpz3Gz8OAABxRMAKQDpg2fYLG6Qj1kk/mKtF2QXf3BnnQgXjAAAQQwSsAGQClv39HumEtc6txtYJlV1w8XlcT9YIAQDwQ8AKQDZg2XU3t05HrM0frTNTi7ILPk0MNFXBQAAAxA8BKwBewLLtL3ar/z7hr/9tJGKpu+C/cga6WMVAAADEDgErAHLAsutubVMfsbb6t4GFQnUX/CJnoE1VDAQAQOwQsAKQE7Bs+5sjMm/F6nb1T0HXou6Cvy9G+kDFSAAAxA0BKwB5Acu2J26ViVgtT5wWbC0KL3gvZ6RLlIwEAH0cx0MAACAASURBVEDMELACUBCw7DW3rJuJWFbfq2cHWIvCC36BM1JvJSMBABAzBKwAFAYs217013bZiGXtNPr7oGpReMGniKGmKxkKAIB4IWAFwC9g2fbPF7bxIpbV97yXaoKoReUF39QZ6jI1QwEAECsErAD4Byzbnn/BOlLEslrvO3KC9kuh8oKf5wzVR81QAADECgErAMUClm0vuaWnlav74S9rrUXlBX9HjPU/NWMBABAnBKwAFA9Ytl07bve8iHW51lpUXvBUd+3lAgAQSQSsAJQKWI4vRmwczYBlD3fG2lzRWAAAxAgBKwBlApZt175w9NpRDFhvi8E+UTQYAADxQcAKQNmA5ah59sT1IxewUps4g12haDAAAOKDgBWASgKWo/a1C3doFqmAZZ/jDLaVqsEAAIgNAlYAKgxYwuLx596vtRa1F/wtMdqnqkYDACAuCFgBqCJgaaf2gqe6OaONVDUaAABxQcAKQHwDln2WM1pfZaMBABATBKwAxDhgTRLDfaZsOAAA4oGAFYAYB6y6rs5wf1c2HAAA8UDACkCMA5Z9pjNcP3XDAQAQCwSsAOyxjmC6ijTVF/x1Md4MdeMBABAHBKyEUX3B6zZyxhulbjwAAOKAgJUwyi/46c54v1U4HgAAMUDAShjlF/xVMeAXCgcEACD6CFgJo/yC123oDHiNwgEBAIg+AlbCqL/gpzoDbqtyQAAAIo+AlTDqL/grYsQvVY4IAEDUEbACVzdn4h0XDBt86L677jDgoGOGDh/98nep4GZXf8FrOzkjXqdyRAAAoo6AFag1ky7etrVVoF3/kdMDClkaLvgwZ8TtlY4IAEDEEbACNGVQh8JwldF9+JwgatBwwV8SQ85SOiQAANFGwArM5IHF05Wr5dnz9Feh4YK7a4TXKx0SAIBoI2AFZNXQMvFKaP2A9jp0XPCTnSF3VDskAACRRsAKxvxdKshXjhF1mgvRccH/6wzZ5Gu1YwIAEGUErED80sPLUM36HXrWDQ89+fyr77z58vhx9199+sF9m3l7j9P8sLuOC75mA2fMG9WOCQBAlBGwgpA6LJOfthw5cVnh/mWvjeqX6XGf3lK0XPCTnDF3UjwmAAARRsAKwl314enwycU/n5p2YrpPW72/66flgr8g1gi/UTwoAADRRcAKQO2GbnTq8nTpbq/3crsN0lqLlgu+ej1n0H8oHhQAgOgiYAXgRTc4rT+zXL/5Pd2vEi7RWYueC36CM+guqgcFACCyCFgBONYNWG+V7/h5S9FxjM5a9FzwCWKN8FvVowIAEFUErAB0FSd5YCU9xdPi1tE6a9Fzwd01wltUjwoAQFQRsPSrdd/C8FQlXaeInrvqLEbTBf+TM+puykcFACCiCFj6zXVXCD+vpOsy0bOHzmI0XfDxzqhNv1c+LAAA0UTA0m+aG7CWV9S3o9Ozpc5iNF3w1es6w45WPiwAANFEwNJvlhuwKvp4p0485d5JZzG6LvgQZ9jd1Q8LAEAkEbD0q3ED1qRKun4rem6jsxhdF/wZ1ggBAMgiYAVArPtZwyvpOVr0PEhnLbou+Mp1nHFvUz8uAABRRMAKwF7iJLdbUL7j6h6i56U6a9F2wQc74+6pYVwAACKIgBWAe901wn1WletXN9jt+JnOWrRd8KfFGuFcDQMDABA9BKwALG7tBqfDynyGtcx9zai1g9ZatF3wle2dgW/XMDAAANFDwArCaW5ysro8Vlu8T93T3dO9Hm7gJF+9X4mXtF3wY5yBB+gYGACAyCFgBWFZ73R2srpdPiPl1yE144oe9V2O8u1Q3mVW5bRc8CedgZv9oGNkAACihoAViKktsuGm44FXjn199sr6HamaWa+PHXlAx+zuTRY2bIYVzasIWBW9Vb5aNWKN8A4dIwMAEDUErGBMaJ+XcZq27di1a8e2TfOa+8xs4ARr1qsiYP1P6bFlHO2MvI+WkQEAiBgCVkBm9C4Telz7LWrwBM/3XrcS4nVVmr6nOM5ijRAAABcBKygLz29TLl51va3EQ/CKfKYvYC1f2xn6Li1DAwAQLQSs4PxwXsmI1fXWmgCK0Biw7COdoX+vZ2gAACKFgBWk5c+esrF/uuo7YrL+T68EnQHrcWfo5tH4jwkAAK0IWAFLfTbuqiE7dm7bJB2smrXvtuewmyZ8F9j8OgPW8rbO2PfoGRsAgCghYBmSWv7j7G9+rmngS68aTmfAsv8ontPXNDYAABFCwEoYrQHrMWfsFr9oGhwAgOggYCWM1oDlrhHep2lwAACig4CVMFoDln2YM/j+ugYHACAyCFgJozdgPcIaIQAANgErcfQGrKWtndH/T9foAABEBQErYfQGLPtQZ/Q/aBsdAICIIGAljOaA9ZAz+loLtA0PAEA0ELASRnPAWiLWCB/QNjwAANFAwAqRA/Z2aZ1Dc8CyD3aGP1Df8AAARAIBK0Tapn8+R+scugPWg87wLRfpGx8AgCggYIVIHALWklbO+GP1jQ8AQBQQsEIkDgHLPtAZ/2CN4wMAEAEErBCJRcC6X6wRLtY4AQAA4UfACpFYBKyFLZ0JHtY4AQAA4UfACpFYBCz7AGeCQ3VOAABA6BGwQmTqey6tc+gPWGOcCVqxRggASDQCVsLoD1gL13JmeETnDAAAhB0BK2H0Byx7oDPD4VpnAAAg5AhYCRNAwLrPmaHNUq1TAAAQbgSshAkgYLlrhI9pnQIAgHAjYCVMAAHL3teZ4gi9UwAAEGoErIQJImDdI9YIl+mdAwCAMCNgJUwQAevn5s4cj+udAwCAMCNgJUwQAcv+nTPHUZrnAAAgxAhYgaubM/GOC4YNPnTfXXcYcNAxQ4ePfvm7VHCzBxKw7mKNEACQbASsQK2ZdPG2ra0C7fqPnB5QyAokYP0k1gif0DwJAADhRcAK0JRBHQrDVUb34XOCqCGQgGXv7UwySPckAACEFgErMJMHFk9XrpZnz9NfRTAB6w5nkrVX6J4FAICwImAFZNXQMvFKaP2A9jqCCVjuGuFTumcBACCsCFjBmL9LBfnKMaJOcyHBBCx7gDPLMdpnAQAgpAhYgfilh5ehmvU79KwbHnry+VffefPl8ePuv/r0g/s28/Yep/lh94AC1r+cWdrVaJ8GAIBwImAFIXVYJj9tOXKiz+sLlr02ql+mx316SwkoYM0XmfE/2qcBACCcCFhBuKs+PB0+ufjnU9NOTPdp+4XWUgIKWPaezjSD9U8DAEAoEbACULuhG526PF262+u93G56X28QVMD6J2uEAIAEI2AF4EU3OK0/s1y/+T3drxIu0VlLUAFrnlgjfFb/PAAAhBEBKwDHugHrrfIdP28pOo7RWUtQAcve3ZlnSADzAAAQQgSsAHQVJ3lgJT1PEj2P1llLYAHrVmeeDqsCmAgAgPAhYOlX676FoaLXbk4RPXfVWUxgAWteU2ei5wKYCACA8CFg6TfXXSH8vJKuy0TPHjqLCSxg2bs6E/0piIkAAAgdApZ+09yAtbyivh2dni11FhNcwLqZNUIAQGIRsPSb5Qas7yvpWieecu+ks5jgAtZ3Yo1wQhAzAQAQNgQs/WrcgDWpkq7fip7b6CwmuIBl7+zMdGIgMwEAEDIErACIdT9reCU9R4ueB+msJcCA9Q9npnVZIwQAJBEBKwB7iZPcbkH5jqt7iJ6X6qwlwIA1p4kz1QuBTAUAQLgQsAJwr7tGuE/ZD3PqBlva40+AAcvu70z152CmAgAgVAhYAVjc2g1Oh5X5DGuZ+5pRawettQQZsG50puq4Jpi5AAAIEwJWEE5zk5PV5bHa4n3qnu6e7vWw1lKCDFjfijXC/wYzFwAAYULACsKy3unsZHW7fEbKr0NqxhU96rsc5dtBmSADlr2DM9fQgOYCACBECFiBmNrCyuh44JVjX5+9sn5HqmbW62NHHtAxu3uThXorCTRgXe/MtT5rhACA5CFgBWNCeytX07Ydu3bt2LZpXnOfmZoLCTRgzRZrhC8HNBkAAOFBwArIjN5WBfZbpLuOQAOWvb0z2SlBTQYAQGgQsIKy8Pw25eJV19tKPASvSLAB61pnsg1YIwQAJA4BKzg/nFcyYnW9tSaAIoINWF+JNcKJQc0GAEBYELCCtPzZUzb2T1d9R0zW/+mVEGzAsrd1Zjs1sNkAAAgJAlbAUp+Nu2rIjp3bNkkHq2btu+057KYJ3wU2f8AB62pnts7BREcAAMKDgGVIavmPs7/5uUbvS698BBywZonpXgtsOgAAwoGAlTABByz7t850pwc3HQAAoUDASpigA9ZVznRdWCMEACQMASthgg5YM8V8bwQ3HwAAYUDASpigA5b9G2e+MwOcDwCAECBgJUzgAetKsUZYF+CEAACYR8BKmMAD1udiwkkBTggAgHkErIQJPGDZWzsTnh3khAAAGEfASpjgA9bfxM8AsUYIAEgUAlbCBB+wZogZ3wpyRgAATCNgJUzwAcv+tTPjXwKdEQAAwwhYCWMgYF3hzLhx4L8JBACAQQSshDEQsD4WU74d6JQAAJhFwEoYAwHL3tKZ8txgpwQAwCgCVsKYCFh/dabsxhohACBBCFgJYyJgfSTmfDfYOQEAMImAlTAmApa9hTPn+QHPCQCAQQSshDESsC515uzBGiEAIDkIWAljJGBNF5O+F/CkAACYQ8BKGCMBy97cmfTCoCcFAMAYAlbCmAlYI5xJe7JGCABIDAJWwpgJWB+IWacGPSsAAKYQsBLGTMCyf+XMelHgswIAYAgBK2EMBayLnFk3DXxWAAAMIWAljKGANVVM+0Hg0wIAYAYBK2EMBSx3jXBE8NMCAGAEASthTAWsC51pNwt+WgAAjCBgJYypgPWemHd68PMCAGACASthTAUsu5cz76UG5gUAwAACVsIYC1jnO/P2NjAvAAAGELASxljAeldM/JGBiQEACB4BK2GMBaxUD2fivxqYGACA4BGwEsZYwLLPdSbuY2JiAAACR8BKGHMB620x88cmZgYAIGgErIQxF7BS3Z2ZrzAxMwAAQSNgJYy5gGX/xZn510ZmBgAgYASshDEYsN4SU39iZGoAAIJFwEoYgwErtYkz9d+MTA0AQLAIWAljMGDZZztTb21magAAAkXAShiTAetNMfenZuYGACBIBKyEMRmw6ro6c19pZm4AAIJEwEoYkwHLPtOZ+zeG5gYAIEAErIQxGrDeMDk5AADBIWAljNGAVbeRM/lVhiYHACA4BKyEMRqw7NOdyX9ranIAAAJDwEoYswHrNTH7F6ZmBwAgKASshDEbsOo2dGa/2tTsAAAEhYCVMGYDln2qM/u2xmYHACAgBKyEMRywJorpvzQ2PQAAwSBgJYzhgOWuEV5rbHoAAIJBwEoYwwHLPsWZfjtz0wMAEAgCVsKYDlgvi/lnmZsfAIAgELASxnTAqu3kzH+9ufkBAAgCASthTAcse6gz/w4G5wcAIAAErIQxHrD+68zf5GuDBQAAoB8BK2GMB6w1GzgF3GiwAAAA9CNgJYzxgGX/2Smgv8kCAADQjoCVMOYD1gtijfAbkxUAAKAbASthzAesNes7FfzDZAUAAOhGwEoY8wHLPtGpYGejFQAAoBkBK2FCELAmsEYIAIg7AlbChCBgrV7PKeFmoyUAAKAXASthQhCw7D85JexqtgQAALQiYCVMGALWc04JTb8zWwMAADoRsBImDAFr9bpODbearQEAAJ0IWAkThoBlD3Fq2N1wDQAAaETASphQBKxnxRrh94aLAABAHwJWwoQiYK0Sa4T/NFwEAAD6ELCMW/H1h3NWBTZbKAKWPdgpYk/TRQAAoA0BK1iLludszrr1gHXEFbA6HnT714EUEI6A9R+xRjjXdBUAAOhCwApOatLQXzd5T2qYcUwTS3JkELknHAFrpYiV/zJdBQAAuhCwgpIa20ecay9g1Y1sauVqeob+pcJwBCz7WKeKAaaLAABAFwJWQL7cIx2isgFr6WFWoV3m664jJAHrKaeKZj+YrgIAAE0IWMGYsoGVG7DqDvbJV5bV8yfNhYQkYNW0d8q4w3QVAABoQsAKxPQ2Vl7A+ms2UzXrvOVm62S3BqzRW0lIApY9yCljb9NFAACgCQErCEt6Z/JT55nplo/rH29vf+6rK8T213duU9/jUr2lhCVgPcEaIQAgxghYQTg/nZ3W+vMrtfUth6dbTl6c7ZMat57b1Hqe1lLCErBq2jl13GW6CgAA9CBgBeDntm506uvlmhnpfJX7g8eze7mNZ2qtJSwByz7KqeN3posAAEAPAlYAbnSDU79FXsv1bsupef0+E09+W21qdNYSmoD1uFNH82j8lwcAQLUIWAHYz10fnCm1DHCfv/olv2M6ib2os5bQBKzl4mO9e0xXAQCAFgQs/WrdrxCeJLWkWouW0wt61rgvczhHZzGhCVj2EU4h+5ouAgAALQhY+rnn2HpIalnitjxb2PUE0b6HzmLCE7Aecwpp8bPpKgAA0IGApd8nbpz6UGr5wm3x+XXnMaJ9c53FhCdguWuE95quAgAAHQhY+n3oxqnlUstHBS31XhTt6+osJjwBy31VxUDTRQAAoAMBS7+f3Dg1R2pJLxouK+z6hvs4vM5iQhSwHhFrhAUP+gMAEAMELP1SrcRJfkNqqWshWmYXdhXPJVmb6CwmRAFrmXj4f4zpKgAA0ICAFYBfiZM8Qm5xXyk6obCn+wuFO+qsJUQByz7UKeUA00UAAKABASsAx4qTvIH8/tBzRMvwwp79RPvBOmsJU8B6WKwRLjBdBQAA6hGwAvCS+8jVBVLLO6Jhw4JXtruPYFlX6qwlTAFrqXgd2P2mqwAAQD0CVgBqN85/E1ZqS9Hwj7x+q7d3+83QWUuYApZ9sFPLgaaLAABAPQJWEEa5wanpFbXZljebOA2tpuX0Sp3sduurtZRQBayxTi0tF5XvBwBAxBCwgrC6vxudrJ0npjJNZ4rtzu9KnVb8Kd3pX1pLCVXAWiK+X/mg6SoAAFCOgBWIWe3S4cna7p7v0i014it0VqvLM5/f1P1783SP3eq0VhKqgGUfqPuZfgAAjCBgBeOZVlbGr0+79YVZy1NrTnK32h1x+/i3nh9zcrf6va1m6i0kXAHrAbFGuNh0FQAAqEbACsiUjawcTdp1sXy09Xk5llLhCliLW+U+/A8AQDwQsILyfX+/QJWn03u6ywhXwLL/4FRzqOkiAABQjYAVmOxTVsUd8bX2KkIWsP5PrIqyRggAiBsCVoBqH9imVLzaa0oANYQsYC1cyynnEdNVAACgGAErWN+M3qe5b7rqf43W94tmhSxg2fs75RxmuggAABQjYAVu2XsPXHzIFp3a1Cer1p36n3Dds/OCmj1sAes+cQqWmq4CAAC1CFjG1C2ZO2vuktryHZUKW8By1wgfM10FAABqEbASJmwBy97PqeePposAAEAtAlbChC5g3ePU02aZ6SoAAFCKgJUwoQtYC8Qa4eOmqwAAQCkCVsKELmDZv3cKOtJ0EQAAKEXASpjwBay7WCMEAMQOAStwdXMm3nHBsMGH7rvrDgMOOmbo8NEvf5cKbvbwBayfxIvBxpmuAgAAlQhYgVoz6eJtWxe+ZbRd/5HTAwpZ4QtY9j5ORUebLgIAAJUIWAGaMqhD8R/K6T58ThA1hDBg3elUtPYK01UAAKAQASswkwcWT1eulmcH8D73EAYsd43wSdNVAACgEAErIKuGlolXQusHtNcRwoBlD3BKOsZ0EQAAKETACsb8XSrIV44RdZoLCWPAut0pqR1rhACAGCFgBeKXHl6Gatbv0LNueOjJ5199582Xx4+7/+rTD+7bzNt7nOaH3cMYsH4Ua4RPm64CAAB1CFhBSB2WyU9bjpzo88qnZa+N6pfpcZ/eUsIYsOw9nZoGmy4CAAB1CFhBuKs+PB0+ufjnU9NOTPdp+4XWUkIZsG4Ta4Q1pqsAAEAZAlYAajd0o1OXMqtgr/dyuw3SWksoA9Z8sUb6jOkqAABQhoAVgBfd4LT+zHL95vd0v0q4RGctoQxY9h5OUUNMFwEAgDIErAAc6wast8p3/Lyl6DhGZy3hDFijnaI6rDRdBQAAqhCwAtBVnOSBlfQ8SfTU+rMx4QxY88Qa4XjTVQAAoAoBS79a9y0MT1XSdYrouavOYsIZsOzdnKqON10EAACqELD0m+uuEH5eSddlomcPncWENGDdItYIV5muAgAARQhY+k1zA9byivp2dHq21FlMSAPW3KZOWRNMVwEAgCIELP1muQHr+0q61omn3DvpLCakAcsWPyV0gukiAABQhIClX40bsCZV0vVb0XMbncWENWD9gzVCAECMELACINb9rOGV9BSvK7AO0llLWAPWnCZOXS+YrgIAADUIWAHYS5zkdgvKd1zdQ/S8VGctYQ1Y9k5OXSeZLgIAADUIWAG4110j3KfsAljdYEt7/AltwLrRqavjatNVAACgBAErAItbu8HpsDKfYS1zXzNq7aC1ltAGrG/FGuGLpqsAAEAJAlYQTnOTk9Xlsdrifeqe7p7u9bDWUkIbsOwdncJONl0EAABKELCCsKx3OjtZ3S6fkfLrkJpxRY/6Lkf5dijvx8uGVuLI0Aas653C1l9jugoAAFQgYAViagsro+OBV459fXbmh41TNbNeHzvygI7Z3ZssbOAU21uVC2XActcIXzJdBQAAKhCwgjGhfV7Gadq2Y9euHds2zWvuM7OBEyytIl9ZU5UemyoiIg4zXQQAACoQsAIyo3eZ0OPab1GDJ9ilioAVyk+w7Oss1ggBADFBwArKwvPblMs9XW8r8RB82fGvubASfw5vwJot1ghfMV0FAAAKELCC88N5JSNW11trAigivN8itO1tndJONV0EAAAKELCCtPzZUzb2T1d9R0xuxKdXVQhzwLrGKa1zMKcBAACtCFgBS3027qohO3Zu2yQdrJq177bnsJsmfBfY/GEOWF+J2l41XQUAAI1HwDIktfzH2d/8XNPAl141XJgDlv1bp7bTTRcBAEDjEbASJtQBa5RTWxfWCAEA0UfASphQB6xZorjXTVcBAECjEbASJtQBy+7nFHem6SIAAGg0AlbChDtg/V2sEdaZrgIAgMYiYCVMuAPW56K6SaarAACgsQhYCRPugGX3dao7y3QRAAA0FgErYUIesEaKV9qzRggAiDoCVsKEPGDNEOW9ZboKAAAaKe4Ba9XPsz9SXYg2B+zt0jpHyAOWvZVT3jmmiwAAoJFiG7Dqpvz9iM3XbykOz91+ZZaOmtRqm/75HK1zhD1gXeGUt3Hg77cHAECtmAasxVdv5P2QsttysNX7pqV6ClOGgFVf39umqwAAoHFiGbBS969rWQUBy7LWuyPcH40QsBxbOvUNN10EAACNE8eAVXOkZfkGLMs6dKG28hQgYDkud+rrFu4gDABAOTEMWMv2tooGLKv/En0FNhoBy/E/UeA7pqsAAKBR4hewUn/MJqtO/dbJD1jWnms0lthIBCxhC6fA80wXAQBAo8QvYI2uT1Ldbphp23tkA8t7A+vbb9BYYiNNfc+ldY7wB6zLnAJ7sEYIAIi02AWsn9q7MarZqJViaw/pE6H33Q2r9WxN9UVD+APWdFHhFNNVAADQGLELWOe6Kartq+ktOWDZq4e4+87VUVxkhD9g2Zs7FV5guggAABojbgFrVUf386sJ9Zs5ActevbPY7LBMR3VREYGAdYlTYU/WCAEAURa3gPWM+yHV2ZnN3IBlv+TuHa++tuiIQMD6QJT4vukqAABohLgFLHeFsN0vmc28gJXqK7YvUl9bdEQgYNl9kn6RAACRF7eAtbs4nmOym3kBy/672N5DcWGREoWAdbFT4qamiwAAoBHiFrC6ieMZm93MD1hjxfZmqiuLkigErKmixmmmqwAAoOHiFrDWFsfzZnYzP2BNEtvrqa4sSqIQsOxfOTWOMF0EAAANF7eA1UIczyfZzfyA5f4OS3PVlVWnbs7EOy4YNvjQfXfdYcBBxwwdPvrl7wL8ylwkAtaFSf+cEQAQdXELWF3F8byR3cwPWK+K7c6qK6vcmkkXb9vaKtCu/8jpAYWsSASs90WRH5quAgCABotbwNpWHM/92c38gDVGbP9GdWWVmjKoQ2G4yug+fE4QNUQiYNm9nCIvMV0EAAANFreA9QdxPMdmN/MD1rFi+/eqK6vM5IFFolVGy7Pn6a8iGgHrfKfI3qaLAACgweIWsK4Vx9N+QWYzL2AtWdcy9fj0qqFl4pXQ+gHtdUQjYE0RVX5kugoAABoqbgFrhhtULsxs5gWske7eyeprK2v+LhXkKxH+6jQXEo2AZW/qVHmZ6SIAAGiouAUsewtxQM1ert/KDVjvuc+Xr1+robgyfunhZahm/Q4964aHnnz+1XfefHn8uPuvPv3gvs28vcdpftg9IgFLvJG/j+kiAABoqNgFLPcxdqtD/RcJcwLWx10sQyuEqcMy+WnLkRN9fmt62Wuj+mV63Ke3lIgErHdEmR+brgIAgAaKXcCq286NKc2vWym2pIBVe2f6/QidFmursKi76sPT4ZOLfz417cR0n7ZfaC0lIgEr1d0p83LTVQAA0ECxC1j22/Xrbd1v/FoKWF+P3rQ+5Nyls0Z/tRu6M3d5unS313u53QZprSUiAcse7pT5a9NFAADQQPELWPaD2eeZNt2/s/i/S4cd2jPbNizAt6ZnvOjOvP7Mcv3mu2W2XqKzlqgErMmizk/K9wMAIIxiGLDs26ziDjfwhHv67VvWW+U7ft5SdByjs5aoBKzUJk6dfzNdBQAADRPHgGU/06lIvGpy4SqNBRbl/n7PwEp6niR6Hq2zlqgELPscp86tTBcBAEDDxDJg2T/+0Tdf9Xyj/J9qUOs+FfZUJV3dF2zuqrOYyASsN0Whn5quAgCABolnwLLtj4e1yY9Xuzy6Wldppc11p/+8kq7LRM8eOouJTMBKdXMKvdJ0FQAANEhcA5ZtL/z32dtlX+DZ9Yh/mPvhlWluCcsr/pAY6wAAIABJREFU6tvR6dlSZzGRCVj2WU6hfU0XAQBAg8Q3YAk1cz567akX3v3iFwNfHfTMcgPW95V0rRNPuXfSWUx0AtYbkakUAIB88Q5Y4VDjBqxJlXT9VvTcRmcx0QlYdRs5lV5lugoAABoibgHridsF3b+YXCWx7mcNr6TnaNHzIJ21RCdg2Wc4lfYzXQQAAA0Rt4C1lftpkYFfwyllL1FTuwXlO67uIXpeqrOWCAWs10SpM0xXAQBAA8QtYLkJxfpWdy3Vudctap+y7+CqG2xpjz8RClh14heGRpmuAgCABohbwNrJjShTdddSncXpn5k+rMxnWMvc14xaO2itJUIByz5N9wNpAABoEreAdaKbUe7UXUuVTku/LKLLYyV+qKfu6e7pXg9rLSVKAetVUesXpqsAAKB6cQtYD7kZZYjuWqq0rHf9+7i6XT7D940RqRlX9KjvcpTeV0pEKWC5a4TXmK4CAIDqxS1g1f5GHFCHJbqLqdLUFplXnlodD7xy7OuzV9bvSNXMen3syAM6ZndvslBvJVEKWPYpTq3bmS4CAIDqxS1g2RObiiO6XnMtVZvQ3srVtG3Hrl07tm2a19xnpuZCIhWwXhHFfmm6CgAAqha7gGWPFZmlbcgec7ftGb2tCuy3SHcdkQpYtZ2cYq8zXQUAAFWLX8CyHxQJq8tkrbU0wMLzC35+Ol/X20o8BK9IpAKWPdTS/a1KAAB0iGHAst8QX8drcmboXlH5w3klI1bXW2sCKCJaAeslUe0s01UAAFCtOAYse9FxbmL57Sn/fPrlt98roLHGMpY/e8rG/umq74jJ+j+9EqIVsNw1whtMVwEAQLViF7D2drUr9VGR5jpLS3027qohO3Zu2yRdS7P23fYcdtOE7wKbP1oByz7Zqba/6SIAAKhW7AJWyYecQhCwMlLLf5z9zc81el965SNiAetFp9omX5uuAgCAKhGwEiZiAWvNBk65N5muAgCAKhGwEiZiAcsWv8+4k+kiAACoEgErYaIWsJ4Xa4TfmK4CAIDqxC5gPV6e5jrDLWoBa/V6Tr03m64CAIDqxC5gobSoBSz7BKfeXUwXAQBAdQhYCRO5gPWcWCP81nQVAABUhYCVMJELWO4a4a2mqwAAoCoErISJXMCyj3cK3s10EQAAVIWAlTDRC1jPOgU3/d50FQAAVCNhAeuXwx0/KBgosqIXsFat61Q82nQVAABUI2EBa4U43KcUDBRZ0QtYtvjp7j1MFwEAQDUSFrBmiMO9WMFAkRXBgPUf1ggBAFGTrICVOlkc7p8aP1B0RTBgrVzHKfk201UAAFCFeAasVa89eP3VhUbs4v5Uzp/11Rh+EQxY9rFOyXuZLgIAgCrEMWD9cPI6JX+LMNEvVYpiwHparBHONV0FAACVi2HAemHdkvHKajlbZ5VhF8WAtbK9U/PtpqsAAKBy8QtYb7Yuna+sS/SWGXJRDFj2IKfmvU0XAQBA5WIXsFb0KJOvzqnTXGe4RTJgPenU3CzRry8DAERM7ALWqNLx6pBXNFcZdpEMWDXtnKLvNF0FAAAVi1vASnV3c9R6N3zyy4Kp54l/rv3DwoULF3z54sltxNbZuqsMu0gGLPsop+jfmS4CAICKxS1gve3mq42+SW9dJDaeq981eyeLz0EiGrDGOUU3j8Z/pgAA2PELWFe5Aevx+q15LSzpvaI1e4jb9PtaiouMaAas5Ws7Vd9tugoAACoVt4B1tPsB1urM5gBnq0d258IuzuaAlIbaoiOaAcs+0ql6X9NFAABQqbgFrL7ieC7Mbg53tpqsyG4+KPa+oL60CIlowPq3+PDxJ9NVAABQobgFrI3E8dyb3bxfbH6Y3azd2NncTX1pERLRgLW8bc51BQAg3OIWsMT3+a3ns5tTxOaj3u5LxCda0ThcTSIasOw/OmXvZ7oIAAAqFLeA1VQcz/Ts5gKxeYW3+xWxfZ/y0iIkqgHrUafsFr+YrgIAgMrELWC5v5Mzxdvu6Gwe5W0uEbuPVl1ZlEQ1YLlrhGNMVwEAQGXiFrA6ieN50tvu72xuLu0XbxvdWXFhkRLVgGUf5tS9v+kiAACoTNwC1mbieG71to8TD10t8rY3zHlvQwJFNmA9LNYIF5iuAgCAisQtYB0gjudkb/tvYtv7/cGUePNoS+WlRUhkA9ZSsfp7v+kqAACoSNwC1sXieDouz26Lzz2sUdlN93Dbqa8tOiIbsOxDnML/YLoIAAAqEreA9ZT7UzkXZ7enic0+dZnNN8Rmd/W1RUd0A9ZYp/C1WCMEAERC3AJWTXs3Yd2c+T2cWvE1QuvpzO7BYmsXLeVFRHQD1pJWTuUPmK4CAIBKxC1g2Se5Acvqf+NH6YwlnnK3+tX/Ws6X4hEs6zxdFUZBdAOWfZBT+UGmiwAAoBKxC1jftLbq3eFuP+r+e5854t+Te7obz+qrMfwiHLDEL0m2XFS+HwAAxsUuYNnXZQLW7e7m8q7uRrM9jh+0Vbq92xqNRYZehAOWu0Y41nQVAABUIH4BK3VaTsCyH7Dy3KKvxAiIcMCy/+CUfojpIgAAqED8ApZdN7KlHLDqdsrNV7vVaqswCqIcsO53Sm+12HQVAACUF8OAZdtfDGnvBSz7lx3lfLXVXD3VRUWUA9bCtZzaHzZdBQAA5cUyYNn2yudvOvulzMaSw7x8dWTSX6QU5YBl7+/UfpjpIgAAKC+mASvPR0PEbxBaXU6arK6ciIp0wBoj1giXmK4CAICykhGwHDUzPluQKt8t9iIdsNw1wkdNVwEAQFmJCVhIi3TAsvdziv+j6SIAACiLgJUw0Q5Y9zrFt1lmugoAAMohYCVMtAPWArFG+G/TVQAAUA4BK2GiHbDsfZ3qjzBdBAAA5RCwEibiAetu1ggBAFFAwEqYiAesn5s75Y8zXQUAAGXELmB9UZ7mOsMt4gHL/p1T/lGmiwAAoIzYBaz8n3b2obnOcIt6wLpTrBEuN10FAAClEbASJuoB6yexRvik6SoAACiNgJUwUQ9Y9t5O/YNMFwEAQGkErISJfMC63al/7RWmqwAAoKRkBaw2vQTNdYZb5APWj2KN8GnTVQAAUFLsAtbdhf511bn7d3QDVosxekuMgMgHLHsv5wCONV0EAAAlxS5gFZGaclIrcagX1qkqJ6KiH7Bucw6gXY3pKgAAKCUpAcsxSzwebR2XUlJMZEU/YM1v5hzBf0xXAQBAKQkKWHbdUHGwt6uoJbqiH7DsPURONl0EAAClJClg2XWHOwfb8gMFtURXDALWP50jaM8aIQAgzBIVsOx56zhHO7Dx40RYDALWPLFG+KzpKgAAKCFZAcse7hxt07kKBoqsGAQsezfnEI43XQQAACUkLGC9LQ73OgUDRVYcAtatziF0WGW6CgAAiktYwFohDvdABQNFVhwC1rymzjE8Z7oKAACKS1jAstdzDnc7FQNFVRwClr2LcwwnmC4CAIDikhawxBvdN1IxUFTFImDdzBohACDcEhawVjRxDre5goEiKxYB6zuxRvi86SoAACgqYQHrFXG46yoYKLJiEbDsnZ2DOMl0EQAAFJWwgHWsONxeCgZSJrV01vS5q4ObLx4B6yaRk1kjBACEVrIC1htiacn6Q+MHUmP1ayO2dX+C2lr3d9dPD+ZHEuMRsOaIpd4XTVcBAEAxiQpY72zgpplRCopRYM2YTS3Z1uPqApg1HgHL7u8cxZ9NFwEAQDHJCVi1757SPJ1k/qemnirsLZya2/ZhbyvfVu/qLyUmAesG5yg6rjFdBQAARcQuYHUvYsPmmRizl+Y6fbjzbpvT9EjrgnxlWWvdrb2UmASsb8Ua4UumqwAAoIjYBSyf2JKr2Tua6yxWVE7AerhIdRfqLiUmAcvewTmMoaaLAACgiOQFrJGayyxalByw3m+Vradpx95bds5+vGbdp7mUuASs65zDWJ81QgBASCUuYF0ezJf1fIqSAtbKnvXVdBrxynLRsOrNKzZKt6yl+TmsuASs2WKN8BXTVQAA4C9hAavfq3prLFWUFLBuS1fT8qYVXtvKf6zlNvbXmwDjErDs7ZzjOMV0EQAA+ItdwDq8qCPPuO5/Jj6+sgsCVk3606qNPsjtNaWj2/yM1lJiE7CucY5jA9YIAQDhFLuAFUp5AWuCu91mWn63l5uJ9u21lhKbgPWVWCOcaLoKAAB8EbCCkBewzna3byrsd7q743udpcQmYNnbOAdymukiAADwRcAKQl7A2txdIFxR2G9OC7HnXp2lxCdgjXIOpHOt6SoAAPBDwApCbsCqc1cCz/bruJfYc7TOUuITsGaJI3nNdBUAAPghYAUhN2D94m6O9+t4pdizk85S4hOw7H7OkZxhuggAAPwQsIKQG7DcjGPN8uv4mNizqc5SYhSwrnKOpAtrhACAMCJgBSE3YH3kbi7x6/iK2NNWZykxClgzxaG8YboKAAB8ELCCkBuw5ribPs+42/Yk9/2jOkuJUcCy+zqHcpbpIgAA8BG7gJV+BUI1NJct5AasmqZic7Zfx2fEnk46S4lTwBJPrG1YZ7oKAAAKEbCCD1juG5ysN/06Xi/2bKazlDgFrM+LnkcAAMwiYBkIWMPF5gi/jgeLPb/XWUqcApa9lXMs55guAgCAQgQsAwHrf2Kzp8/a1jz3RaOX6CwlVgHrb86xbGzo9yUBACghdgHronUcLcIYsPp5SWBvsX1jYb+hbsf/6CwlVgFrhjiYyaarAACgQOwClvBGh0x42mTgsaf/5YRDtm5av93mLxcW0FhyRnrytbcb/PdxH690tqc3dzZbfpzfzX0LltXB9/uFqsQqYNm/dg5muOkiAAAoEMeA9URLN6g0P3jcT5mmZRNPbOs27rVAT3GlyR+YNf3VH8675wDxrw0/zemUutv9CR3rTK2lxCtgXe4cTDfWCAEAoRPDgPVG+uOqQXNymxed5bb3+U55YeUVWZzc4BOvS+q1/dONrb/SWkq8AtbH4mjeMV0FAAD54hewlm7qxpRnC/e85a4c7mXgxUnFHv+6PdNh+bWbZdp8Hs1SKV4By97COZpzTRcBAEC++AWsM8URtXzLb9e0tcW+G1QWVZk9NyoTsD7LNh2o+cf1YhawLmONEAAQRrELWItaiSO6yX/nv9wPt5YqLKpSyz58fNQJu3YuG7D+sFJzITELWO7vOk4xXQUAAHliF7DuFQfUp8gyYJ341pk1VmFRVVoy9dErh+y0frGA1ezSVboriFnActcIzzddBAAAeWIXsAaIAxpVbO/VYu9AZSU11MIpD11x7A7r5gesPabqnzpuAetS53B6sEYIAAiZ2AWsjuKA3i+2932xt6Oykhrp558z/3JiT/vjpwUxZ9wC1oclrzcAAGbELWCtsEoe0A/ubt3POVXvu8vfWhPMTHELWPbmzvEE8bJYAACqELeANdNNUDXFdqfz19fqioqc2AWsEc7x9GSNEAAQLnELWJ+4Carouzq/dHd/pK6oyIldwJomDiiAh9cAAKhC3ALWQjdB/bfY7hfc3fPVFRU5sQtY9q+cA7rYdBEAAOSIW8BKua/BOrXY7mFib1PN7/IMtfgFrIucA9rUdBEAAOSIW8Cy+7rfE1zsv3Ox+x3DjRUWFTnxC1juN0M/MF0FAACy2AWsv7qLgKf57zzd3XmCwqIaoG7OxDsuGDb40H133WHAQccMHT765e8CfEY7fgHL7uUc0SWmiwAAQBa7gDXdzVBNHvLb92gTd+fTSsuqyppJF2/b2irQrv/I6QGFrBgGrAucI+ptuggAAGSxC1ip7dMJ646CwJK6t6m7a51lykur0JRBHQrDVUb34XOCqCGGAWuKOKTppqsAAEASu4BlT0l/TGXt+2Vu++wD6pPMzepLq8jkgcXTlavl2fP0VxHDgGVv6hzSZaaLAABAEr+Alf6moKPp/o//lGn7+Yk/NK1v3ny1pvpKWzW0TLwSWj+gvY44BqzznEPqY7oIAAAkMQxYywd4iaXXgUPOPnvIgb/yWtqbeSfl/F0qyFeOEXWaC4ljwHpXHNP/TFcBAIAnhgHLXrZ7ic+IJukssahfenglNOt36Fk3PPTk86++8+bL48fdf/XpB/dt5u09TvPD7nEMWKnuzjFdbroKAAA8cQxY9rIziuWrHmbyVeqwTAFbjpzo84z9stdG9cv0uE9vKXEMWPZw55g2N10EAACeWAYs235tM998NWyJtupKuqt+/sMnF/98atqJ6T5tv9BaSiwD1tvioD4xXQUAAFkxDVh27X8GNslLV+ucZSpX1G7oFtClzAu4Xu/ldhuktZZYBqzUJs5BXWG6CgAAsuIasBzf/N+w32S+Othq1/OfMPb6K/tFt4b1Z5brN7+n6Nda68dssQxY9jnOQW1luggAALJiHLCE2p+/mDLx/VkLzP6887FuwHqrfMfPW4qOY3TWEs+A9ZY4qk9NVwEAQEbMA1Y4dBUneWAlPU8SPY/WWUs8A1aqm3NUI01XAQBABgFLv1r3LQxPVdLV/dWXXXUWE8+AZZ/lHFVf00UAAJBBwNJvrrtC+HklXZe575LQWUxMA9akeB4WACCqkhGwVr1x9V/OuOaxReqKqcY0N2Atr6hvR6fn/7d3J2B2VHXChzuEJEBYZY0Bgaio8RPRuDCGcY0LQ9BBzCho1HGJiE6YQTEj4xiEUeO4RRmUuEdRx7gxEUEniGIEF4K4RAwwARHCTsKSkLX7frfqdifp7ttL0ufeU6fqfZ/nm8+urpB/3aL7/OhbXTWulcOUNLA6s7dh/yP2FADQrayB1XnPLVv/d9cXD238LuG4V98y4B9ooZX5X75qOLt2Zle5H9TKYUoaWLV/qh/WU2MPAQDdShlYD336xWM7ntfzUedbt90La88vt2CwoazP/+ph3UP+r9meT2/lMGUNrCuz41oRewoAaChjYH3l4Oygntfz4Xm9bjf65VaMNoTsfb+OM4ez5/nZni9v5SxlDazOR9eP60OxpwCAhvIFVtd7GyX1vO6P/7hLr8Da5eetmm9gL8j+4r1WD73jpiOyPd/XylnKGli1d9SP62mxhwCAhvIF1kc7egfWKzp6O3pzqwYc0Bfzv3jaxqH263xdR8vzp7SB9dPswFr7HEcAGK7SBdb143oH1l2NRxI+6YIrvvPqxie+1LoRB/Dg7vlf/Mohfoa1Nr/NaMezWjpLaQOrM3vg47zYUwBArnSBdUp3X+0zu/HxhY3aejj73/+dx1ZL7+PZ3OmNmQ751iCP7Om8+PDGXt9o6SilDaza2+sHNiX2EACQK1tg3TM2j5Tpf+js3vDi/MKr5Y0Pzso/ubJFAw5s7VHd2XfY3BVdzXboWnHOEd27vLrpDkO7+NCOYStlYP0kO7L/iz0FAGTKFlhfygPiH3ryqnb/rtnHr+j+6Nb8gvcvtmS8QV07Zmvc7H/ieRddecuG7k90rV955UXnnrD/1k8/Zs3O/Q2b9xl+X3X8MdiBFciWg+pH9p+xpwCATNkC67TseMb8ZevHX8+DYutlVydkH72jBcMN5dK9+zTOLuP3nzhx//G79Nn8hBt38i9YP3YHAut3QY+tKN5WP7Jnxh4CADJlC6xnZMfzxm0fz8qD4u6eDz+effSc8LMNbcVRA9XO9l6280/z+dCo4QdWKd8irC3JDq397/8CQH9lC6zDsuO5cNvHT8o+/n9bP/zv7MPHBh9tONactcdQ3TPxgkEugh/SqmXD8Z3yBlb+HuFHY08BALXyBVb+TtxlWz/MD2+79wSXZh8eEH62Ybn73YMm1sRPr2/DEOX9LcJaLXsm0rNjDwEAtfIFVn5N0x+2fvi9PF0Wbf14efbhruFnG6Z1PzhtgN/1O/rsq0fy06vhK3Ng/W/90Eb9Zej9AKDVyhZY+e/SXbn1wzPyerlr68c/zz7cPfxsw9f15+988PXPPnh89xVTo/c+7Plv+8Slt7ft7y9zYG0+sH5sH489BQCUL7COyI7nqz0fdT0u+/CJ2z793ezjg8PPtuO61t1zy633rd/Jm17tvDIHVi27Ff7fxB4CAMoXWMdmx3NOz0fX5z8leve2T1+Qffz48LOlo9SB9aPsPcJbY08BAKULrHfmBdVzOdO5eWBdte3Tr8k+flELhktGqQNr06PqB/fJ2FMAQOkC66I8qb7X+GD1vtkHh2y9rXvtzvzX+N7VkvESUerAqv1j/eCmxh4CAEoXWPfmNzQ/4o7sf3e+Na+tt2395JaT8g1fa9GASSh3YF2avUf419hTAEDZAqt2St5QExY+uOUPr278ot6Pej51x4n5x2Pva9mICSh3YOXvEX4q9hQAULrAWtbzdL+exys/fnO+/YYv/kP30/pObuWQhVfuwKq9sX50fxt7CAAoXWDVzuzorfsNwVf0fDzqV60bMQElD6xL6ke3y6rYUwBQeeULrHXH9eqr47svcd8aWGe0bsIUlDywNu1XP7zzY08BQOWVL7BqDz13u76a3HNsPYH1snWtmm/kTnhRrqV/R8kDq/b6+uE9N/YQAFReCQOrtuVTe/X01T+s6dnYHVj/uLE1wwUxvjFjS/+OsgfWYu8RAlAAZQysWm3doje+8ElPe8nc323blAXWri8p9vVXAmvkNmRPo7wg9hQAVF05A6uJ8970799+INAkrSKwAnhd/fieH3sIAKquMoGVAoEVwMXZe4R3xJ4CgIoTWAUisALYsHf9AD8bewoAKk5gFYjACuHU+gG+MPYQAFScwCqQa6/JtfTvKH9gfa9+gKPvjj0FANUmsCqm/IG1PnuP8MLYUwBQbQKrYsofWLXX1I9wWuwhAKg2gVUxFQis73qPEIDYBFbFVCCwHtmzfoifiz0FAJUmsCqmAoFV+4f6Ib4k9hAAVJrAqpgqBNa3s8cipfEvNQAlJbAqpgqBtS67odgXYk8BQJUJrIqpQmDVXlU/xpfFHgKAKhNYbdd52xUXvudtrzvppcc964UvP3XWmedffntX+/72SgTWt+rHOOb+2FMAUGECq602L33vlN07+tnr2HN/36bIqkRg5e8Rfin2FABUmMBqo9+csm//uOpx+Jm3tWOGSgRW7ZX1g/y72EMAUGECq22uPn7gusqNO+PO1k9RjcD6pvcIAYhKYLXJxllD5FVm96+2fI5qBNbD2fuwX4k9BQDVJbDa466pw+irurM7WzxINQKrdlL9KKfHHgKA6hJYbXH/EdsaavQxJ83+2Ne/d9lPf/WLyy/5zsIPv+MVR4/e9tmZLb7YvSKB9fX6UY5dHXsKACpLYLVD1yt7+mnyuVes7f/5tT/70DE9e7T4l98qElgPZe8Rtv4NVwBoTmC1w+e64+nkqwf++dRv39TYZ/xNLR2lIoFVe0X9ME+MPQQAlSWw2mDLhDydDrl48N2ufGy+2yktnaUqgfW1+mGOeyD2FABUlcBqgx/n4XTAjUPtd9eR+a8SPtTKWaoSWA/tVj/Oi2JPAUBVCaw2eG0eWFcNveMN47Idv9zKWaoSWLUT68f5ithDAFBVpQysB/901SVfO/9jX/zeFdfd1sbH/A1oYvYiHz+cPd+c7fmaVs5SmcBamL1H+GDsKQCoqLIFVue1n33j5FHb3VjqgL/7wGVrWj3a4Lbkd2H4/nB2/U2253GtHKYygbUm+2ngN2JPAUBFlSuw7vzQkR1NjHvtz2P+IOuOfIgbhrPr2mzPI1o5TGUCq3ZC/UBPij0EABVVpsD63cm7Nsur3BM/s6UdMzb123yCdcPad/+sB1s5THUC68v1A93Ne4QARFGewNrwvoHzKvPs5e0Zs7+V+d+/aji7dmbvax3UymGqE1hrxtaP9JuxpwCgmkoTWL9+0qB5VTfmA5vbNGkf6/O/fulwdv1rtufTWzlMdQKrdnz9SE+OPQQA1VSWwPrp7r1iau9DJx/73Kc99sAxvbaeGultwux9v44zh7Pn+dmeL2/lLBUKrC/Vj3SPh2NPAUAllSSwlo7fWlGPfvP5P996B+/OGxad/YJtv1T4xs42zNnfC7K/e69hPHp40xHZnu9r5SwVCqz8PcJvxZ4CgEoqR2D9dq/ugtrt9Uv6/5TqtnlP7Cmst7dwvoF9Mf+7p20car/O13W0PH8qFFi1l9YPdUbsIQCopFIE1pandffTiTcPsMP5e3fv8eMWDTeoBxvvX75yiJ9hrc1vM9rxrJbOUqXA+kL2HuHa2FMAUEWlCKwLGvG0x/cG/sN3vrixz1EbWjDZkE5v/OWHfGuQi8A6Lz68sVdrb45ZpcC6L/u90m/HngKAKipDYN2zb6OvfjbYn17/0ka+fCj8YENbe1T3D9AOm7ui6S1Pu1acc0T3Lq9u7T1RqxRYtayqXx17CACqqAyBdV4eJqOuGPyPrz8u323fTaHnGo5rt/064/4nnnfRlbf0/CCta/3KKy8694T9t376MS1+rk+lAutz3iMEII4yBNbTh3f9+vWNG5H+b9iphunSvTt622X8/hMn7j9+lz6bn3BjiwepVGDdm53y78aeAoAKKkFg3ZKXyaPuG/IfcFa+42lhpxquFUd1DMPLHhj6nzQylQqs2rT6wZ4SewgAKqgEgfWJPE3eM/Q/4O78hliHxLkXVm3NWXsMlVcTL2j9nVCrFVgX1g92z0diTwFA9ZQgsBo3j7pqGP+E5+R73hZyqB1x97sHTayJn17fhiGqFVj5e4Tfjz0FANVTgsDK3gbqOHA4P/uZl4fMb0IOtWPW/eC0Q5vX1dFnX92e5/hUK7BqL6wf7amxhwCgekoQWE/ODuElw/knLMlb5n8CzrTjuv78nQ++/tkHj+9+fs/ovQ97/ts+centbfv7KxZYn6kf7V7t+MkgAGyvBIGV3+Jg5nD+CX/Im+bCgDPtvK5199xy633rW3vTqyYqFlh3jY6e1ABUUQkCK6+mdw3nn3B3vut/BJwpPRULrNrz64f7uthDAFA5ZQmsDw7nn9CZ73pewJnSU7XA+i/vEQIQQVkC68PD+0cIrKoF1p0cAVHgAAAgAElEQVTZe4Q/iD0FAFUjsCqmaoFVe279eF8fewgAqkZgVUzlAuvT9ePdd8PQ+wFAQAKrYioXWHdmj3u8JPYUAFSMwKqYygVW7bj6Ab8x9hAAVIzAqpjqBdb87D3CjbGnAKBaBFbFVC+wbs/eI7w09hQAVIvAqpjqBVb+jO83xR4CgGoRWBVTwcD6ZP2I9/MeIQDtJLAqpoKBdVv2YO0fxZ4CgEopS2C966bhEFhVDKzasfVDfkvsIQColLIE1g4QWFULrI/XD3n/zbGnAKBKBFbFVDGw/pq9R/i/sacAoEoEVsVUMbBqz6of86zYQwBQJQKrYioZWB+tH/MB3iMEoH0EVsVUMrBuyd4jvDz2FABUiMCqmEoGVu2Z9YM+LfYQAFRICQJrzQ5a39api6aagfWR+kEf6D1CANqmBIHFjqhmYN2cvUd4RewpAKgOgVUx1Qys2pT6Ub899hAAVIfAqpiKBtaH60d98JbYUwBQGQKrYioaWCuzw/5Z7CkAqAyBVTEVDaza0+qH/Y7YQwBQGQKrYqoaWB+sH/Yh3iMEoE0EVsVUNbBuzI7757GnAKAqBFbFVDWwak+tH/c/xR4CgKoQWBVT2cA6L3uPsDP2FABUhMCqmMoG1g3ZgS+NPQUAFSGwKqaygVV7Sv3Az4g9BAAVIbAqprqBdW79wCd6jxCAthBYFVPdwFqRHflVsacAoBoEVsVUN7BqT64f+b/EHgKAahBYFVPhwDqnfuSHdsWeAoBKEFgVU+HAWp4d+i9jTwFAJQisiqlwYNUm1w/9XbGHAKASBFbFVDmw3l8/9MO8RwhAGwisiqlyYP0xO/Zfx54CgCoQWBVT5cCqPal+7GfFHgKAKhBYFVPpwHpf/diP8B4hAK0nsCqm0oH1++zgr4k9BQAVILAqptKBVXti/eDfE3sIACpAYFVMtQPr7PrBH+k9QgBaTmBVTLUD67rs6K+NPQUA5SewKqbagVV7XP3o/zX2EACUn8CqmIoH1r/Wj35S7CEAKD+BVTEVD6xrs8O/LvYUAJSewKqYigdW/h7h2bGHAKD0BFbFVD2w5tQP//GxhwCg9ARWxVQ9sK7Jjv93sacAoOwEVsVUPbBqj60f//tiDwFA2Qmsiql8YJ1VP/6jYg8BQNkJrIqpfGD9OnsB/hB7CgBKTmBVTOUDq+uI+gvw/thTAFByAqtiKh9YtXfVX4AnxB4CgJITWBUjsH6ZvQLLY08BQLkJrIoRWF2H11+Bc2JPAUC5CayKEVi1f6m/Ak+OPQQA5SawKkZg1a7KXoI/xZ4CgFITWBUjsGpdj6m/BB+IPQUApSawKkZg1Wpn1F+Cp8QeAoBSE1gVI7BqtV9kr8H1sacAoMwEVsUIrFqtc2L9NTgv9hQAlJnAqhiBVfdP9dfgqbGHAKDMBFbFCKy6n3sRAGgtgVUxAquu89H1F+GDsacAoMQEVsUIrMw76i/C02IPAUCJCazofn9ypl1/m8DK/Cx7FW6KPQUA5SWwoluSnYK2HZzAynROqL8KH449BQDlJbCiE1gRnF5/FabEHgKA8hJY0QmsCK7IXob/iz0FAKUlsKITWBHk7xF+JPYUAJSWwIpOYMVwWv1leEbsIQAoLYEVncCK4fLsdVgZewoAykpgtd6VJw/quDywttvQ0mEEVsOWg+qvw0djTwFAWQms1vtax45p6TACq9us+uvwrNhDAFBWAqv1BFYR/W/9dRj1l9hTAFBSAqv1BFYRbT6w/kJ8PPYUAJSUwGq9HwqsInpL/YU4NvYQAJSUwGqDSw4UWMXzo/oLMerpp37wu3/eFHsUAEpHYLXDXcc30mn0Odf091/5p7bb0NJRBFaPTY/qKdoxk1/1vm/89pHYAwFQIgKrLbo+Pa6xlp++rt/n3Acrkrf2/sHhLpNOOOuLv3og9lQAlILAapM/PqWxjD/x2r6fEViR3P70Zm/QPnraOz9zxd2xZwMgcQKrXdaf0f1+1Ee29P6EwIpm9dIFc6ZPGtUks/adMnPeouWdsQcEIFUCq30uO7ixeD/v1l6bBVZkDyxbOGfG5F2aZNbYyTPmLlq2IfaAAKRHYLXRPSc21u19vrn9VoFVCBuXL5o7Y8puTTJrzKTpcxYuWxt7QABSIrDaqesz3Qv467a7llpgFcjmlYvnzZo6vtnFWROmzV6w9MHYAwKQBoHVXtcf01itD//51k0Cq3hWLZk/a9pBzTJrv6mz5i9ZGXs+AIpOYLXZhjMbC/Wos3tubymwimr10gWzp01qmllTZs5bvNI18AAMRGC13f9OaCzSz1jR+FhgFduaZQvnTJ/U7Br4cdk18Mu3DP2PAKByBFb73fv3jfV59wu7sg8FVgo25NfAj2uSWY1r4PvfQBaAKhNYEXR9bo/G2nxidkNLgZWOTSsXz5s5ZY8mmbXrpOwa+IdiDwhAQQisKFZ030T84EsFVoKya+Cn7t304qzsGvg7Y88HQHQCK46Nc7rvH/7OdQIrUfk18BOaZlZ+DXxX7AEBiEdgxXLFxMZi/KT/FFgpWz3gNfD7THENPEBlCaxo7j95+9W4XX+rwGqJ/Br4yaObZNbYyTPmLFz2SOwBAWgvgRVP1xfHC6xSGeoa+IdjDwhAuwismG58psAqn80rs2vg92p2cdaEabPmL7kr9oAAtJ7AimrT2aMEVkmtWrJg9rRDmmXWflNnuQYeoOQEVmRXHiawyqxxDfyoJpm1z5SZ8xYt97gdgHISWLE9fFOuXX+dwIrhgWWDXwO/PvaAAAQmsCpGYMWzcfmieTOn7N70GvjpcxYsXRt7QACCEVgVI7Bi27xy8bxZU/dsfg387AVL7o49IAABCKyKEVgFkV8Df/AA18DPX7Iy9nwAjIjAqhiBVSirly4Y4Br4fV0DD5AygdV2nbddceF73va6k1563LNe+PJTZ515/uW3t/E39gVWAa1ZtnDOjMnNHrczdvKMuYuWbYg9IAA7SmC11eal7212kfNex577+zZFlsAqrI3Z43am7NYks8ZMmj5n4bJ1sQcEYPgEVhv95pR9m11z03D4mbe1YwaBVXCb8mvgxzf7VyS7Bn7pg7EHBGA4BFbbXH38wHWVG3fGna2fQmClYdWS+bOmHdTsX5P8Gvg7Ys8HwOAEVptsnDVEXmV2/2rL5xBYKVm9dMHsaZOaZtaUmfMWr3QNPEBRCaz2uGvqMPqq7uxWL5kCKz33LV3wLy89vNm/Lns/640f+f71G2MPCEA/Aqst7j9i26I4+piTZn/s69+77Ke/+sXll3xn4Yff8Yqjt3uGyswWX+wusFK1Ib8GflyzzpowbZYfZwEUi8Bqh65X9iyFk8+9oskDUdb+7EPH9OzxpdaOIrDStvEP3zrn1Uc3zaw9njrj3xb+6v7YEwKQEVjt8LnuJfDkqwf++dRv39TYZ3xrn/sssEohuwZ+6t5N32Xeb0p26yzPNQSIS2C1wZYJ+cp3yMWD73blY/PdTmnpLAKrRG798fxZz39008za5ciXvPP8H9/ibUOASARWG/w4X/IOuHGo/e46Mttv94daOYvAKp0NyxfNmzV1n6adNXZS9vxoDzYEaDuB1Qavzde6q4be8Yb82povt3IWgVVWq7Pn7TR7TkBH9mDDGXMWLns49ogAFSKw2mBi9iIfP5w935zt+ZpWziKwSm7Vkuzx0c2ea5jfo3TeouWbY48IUAUCq/W25Hdh+P5wdv1NtudxrRxGYFXCxuyBO9MOaZpZYxpvG7bxCeMAFSSwWu+OfFm7YTi7rs32PKKVwwisKlm9LLt3VtMHG3bsNnnGHI82BGgVgdV6v83Xs3XD2nf/+p7jWjmMwKqgxtuGo5t2VvbMnUXL1sceEaBsBFbrrcwXslXD2bUzu8r9oFYOI7Aqa+PK7AHSTZ9s2LHrpGmz5i9xM3iAYARW663Pl7Clw9n1r9meT2/lMAKr6lYvWzRv5pQ9m3bWuPxtwwdijwhQAgKrDbL3/TrOHM6e52d7vryVswgscquXLpgzY/JgbxsO701tAJoSWG3wguxF3mv10DtuOiLb832tnEVgsZ1NjbcNRzXtLM+QBth5AqsNvpgvV9M2DrVf5+s6Wp4/Aov+HsjfNtyraWaNnTR9zoIld8YeESAxAqsNHmzcXvuVQ/wMa21+m9GOZ7V0FoHFgBo3g99tgLcNPUMaYAcIrHY4vbFGHfKtLQPv03nx4Y29vrFzf0fX5YuG45MCi8FtXrlkwezB3zYc5N9jAHICqx3WHtW9PB02d0XTG2h3rTjniO5dXr2Td9h+Q9P1sDmBxZA8QxpgJARWW1w7ZuvatP+J51105S0buj/RtX7llRede8L+Wz/9mDU79zesa/4Dh+auC3ZglN1gz5DezzOkAQYisNrj0r37rE27jN9/4sT9x/d9KO8TbtzJv6DzsB0IrDuCHhvll71tOMQzpL1tCLA9gdUmK45qujb18bKdv8fjdcdPGY6npnPCKRzPkAYYLoHVLmvO2mOovJp4Qet/CpDQCaeoBnuG9D5TspvBPxR7RIDYElpvEw+sWu3udw+aWBM/3Y4n7iZ0wik4z5AGGFhC623ygVWrrfvBaYc2r6ujz766PdewJHTCSULjbcNBnyHtbUOgghJab0sQWHVdf/7OB1//7IPHd//S3+i9D3v+2z5x6e1t+/sTOuGkxDOkAXpJaL0tR2D16Fp3zy233re+7f9tn9AJJ0FDP0P6kdgjArRFQuttuQIrloROOMnyDGmAhNZbgRVCQiec1K3xDGmguhJabwVWCAmdcEritp989sy/e9yuTTvrwKlvmvfdP22OPSJAcAmttwIrhIROOKWyaZBnSI+ZPHP+UhdnAaWS0HorsEJI6IRTRg8u+8bcU6b0fXJUXlnHvOn8q9bGng8gkITWW4EVQkInnBIb8BnSE6bPXezfT6AEElpvBVYICZ1wSm/zTT/8+GkvnNivsia96kOX3R17OIARSWi9FVghJHTCqYoHls6fOXmXfj/LmjZ74XI3gQdSldB6W/7AOuFFuZb+HQmdcCrloaXzZ00d17ey9p1aryz3zAISlNB6W/7AGt9YU1r6dyR0wqmeTcsXzp7a78qsveqVtWxj7NkAdkhC663ACiGhE05Fbc4qa3y/XzLMbuWwPvZsAMOV0HorsEJI6IRTaasWz51+YN/K2jWrLLdyAFKQ0HorsEJI6IRDVlmH9K2s0ZOmz118b+zRAAaX0HorsEJI6IRDbtXieTMn97sDfHbDrLtijwYwoITWW4EVQkInHLZZ0/xWDtPnLloeezSAZhJab8sfWNdek2vp35HQCYc+HqpX1pSxfSvLrRyAIkpovS1/YLVDQiccmslv5bBb38raO6usLbFnA9gqofVWYIWQ0AmHATW/lcNYt3IACiOh9VZghZDQCYfBbVm5eO70A/pWVn7DrHWxZwMqL6H1VmCFkNAJh+HIbuVwcN/KGj15xtzF98UeDaiyhNZbgRVCQicchq1eWTMm962s/FYOd8ceDaiohNZbgRVCQiccdsyAt3JYvDL2aED1JLTeCqwQEjrhsBMezCprdN/K2i/7JcOu2LMBVZLQeiuwQkjohMPO2jjwrRzcMAtoj4TW27IEVudtV1z4nre97qSXHvesF7781Flnnn/57W38L+uETjiMSH7DrD36VtaeU2bOX7oh9mxA+SW03pYhsDYvfe+U3ftditux17Hn/r5NkZXQCYeR27J84Zzp+/f9inMrB6DlElpv0w+s35yyb/+46nH4mbe1Y4aETjiEkt3K4aC+X3K71itryf2xRwPKKqH1NvXAuvr4gesqN+6MO1s/RUInHILKKmtSvy87t3IAWiOh9TbtwNo4a4i8yuz+1ZbPkdAJh/BWZ79kOKpZZd0RezSgXBJab5MOrLumDqOv6s5u9e84JXTCoUUebHrDLLdyAEJKaL1NObDuP2Lbt/HRx5w0+2Nf/95lP/3VLy6/5DsLP/yOVxy93V17Zrb4G3xCJxxa6eFlC2dPHde3svZxKwcgjITW24QDq+uVPd++J597xdr+n1/7sw8d07PHl1o7SkInHFqu+a0c9po6e4FbOQAjk9B6m3Bgfa77+/bJVw/886nfvqmxz/ibWjpKQicc2mNzvbKmPapvZeW3cngk9mxAshJab9MNrC0T8m/Yh1w8+G5XPjbf7ZSWzpLQCYd2yn7J8MC+lZXdymFpkx86AwwlofU23cD6cf6t+oAbh9rvriOz/XZ/qJWzJHTCoe2yyprQt7LyXzL0RQPsmITW23QD67X5N+mrht7xhvyS2y+3cpaETjjEMfCtHNpwpzqgLBJab9MNrInZi3z8cPZ8c7bna1o5S0InHCJ6oOmtHCZMcysHYHgSWm+TDawt+V0Yvj+cXX+T7XlcK4dJ6IRDbA8tnT+r/60c9nUrB2BoCa23yQbWHfk35RuGs+vabM8jWjlMQiccCiG/lUO/Z7TvVa+sZRtjzwYUV0LrbbKB9dv8+/G6Ye27f33Pca0cJqETDsWR3cph6vi+leVWDsCAElpvkw2slfm34lXD2bUzezfioFYOk9AJh4LZcv1F73rBvn0ra+zT33zBL4f3H1BAhSS03iYbWOvz78JLh7PrX7M9n97KYRI64VBI2a0cDulbWR0Tps9xYRawnYTW22QDK3/fr+PM4ex5frbny1s5S0InHIpr1ZJmt3IYO3nm/CV3x54NKISE1tt0A+sF+TWxq4fecdMR2Z7va+UsCZ1wKLg1TW/lkN/LYdn62MMBkSW03qYbWF/Mv+tOG/I3jjpfl+/451bOktAJhxQ8VK+sKWP7Vdauk2fMXbzSLbOguhJab9MNrAcbv+L9yiF+hrU2v81ox7NaOktCJxySse6aL5zxwgP6VVbHo14w+/O/9ixDqKSE1tt0A6t2euOb7SHf2jLwPp0XH97Y6xstHSWhEw6JWZ3dl3SP/pmVXwA/yBc/UEYJrbcJB9bao7q/0R42d0XT9wy6VpxzRPcur27tmwoJnXBI0eaVi+fO6H/9e3YB/LzFd8WeDmibhNbbhAOrdu2Yrd9m9z/xvIuuvGVD9ye61q+88qJzT9h/66cfs6a1kyR0wiFdDy5bOHtak/cM95s6e4Fbk0IlJLTephxYtUv37vN9dpfx+0+cuP/4vr+B9IQbWzxIQiccUpfdzGFKv2cZduw6afrcRZ4ZDSWX0HqbdGDVVhzV77tsEy97oNVzJHTCoRQ2LV80d/qk/l/t+0yZOX/JfbGnA1olofU27cCqrTmrycWvvU28oPXXwSZ0wqFEXAAPVZPQept4YNVqd7970MSa+Ol23JowoRMOZbMlvwC+/61Jx2QXwN8RezogqITW2+QDq1Zb94PTDm1eV0effXV7/iM2oRMO5fRQdgH8gf2/C+QXwHtqNJRFQuttCQKrruvP3/ng65998Pju3+Ievfdhz3/bJy69vW1/f0InHMosvwB+t36V1bgA3lOjIX0JrbflCKweXevuueXW+9a3/ReJEjrhUHoDXQC/d3YB/L2xpwNGIqH1tlyBFUtCJxwqYs3SBbOnju+fWflTozcM/eeBIkpovRVYISR0wqFSVi2eN7PpBfDZU6NjDwfssITWW4EVQkInHKpn4/KFc6Yf3OwC+Fnzl3pqNKQkofVWYIWQ0AmHqspvmtX/AvjGTbNcAA9pSGi9FVghJHTCodI25xfA939q9F7ZBfB3x54OGEpC663ACiGhEw7UHsgugN9zgAvg23FvYmAnJbTeCqwQEjrhQLf8AvjRA1wA76nRUEgJrbcCK4SETjiwvfwC+EP6/zBr3+wC+IdjTwf0kdB6K7BCSOiEA/3lF8DvPsAF8J4aDcWR0HorsEJI6IQDA9icPzW6/wXwY7OnRt8Vezogk9B6K7BCSOiEA4N6MHtq9AH9f5iVPzX6kdjTQdUltN4KrBASOuHAMORPjR7br7IaT412ATxEk9B6K7BCSOiEA8OVPzV6Qv8fZu2TXQD/UOzpoJISWm8FVggJnXBgx+QXwO/hAngohITWW4EVQkInHNgJW/IL4Ps/NTq/AP7O2NNBdSS03gqsEBI64cBOeyi7AP7AAS6AXxd7OqiChNZbgRVCQiccGKH8AvhxA1wA76nR0FIJrbcCK4SETjgQQn4B/KT+P8zaO3tq9L2xp4PSSmi9FVghJHTCgXDWZE+NHt/kAvjsqdEbYk8HJZTQeiuwQkjohAOBbbnh2/9+0mP73wF+t6e/8eNLbn4w9nhQKgmttwIrhIROONAS+VOjD+r/w6x6aE2YPHX6zNlz5y9cvHT5KhdpwUgktN4KrBASOuFAC/31h/NOfcqYZpnVY8xBTzj2+Ne+898/8eWLr/zj7X71EHZMQuutwAohoRMOtNrm/AL4/u8ZNrX151uLli5ftT726FB0Ca23AiuEhE440B4PZBfA7zm8yhrg7USXyUNfCa23AiuEhE440E6PrFq+dPHC+XNnz5w+dfKEQd88HLK3NsY+GIgvofVWYIWQ0AkHIurdW7uOqLc2xT4YiCCh9VZghZDQCQeKo3dvjR5Rb22OfTDQDgmttwIrhIROOFBYvXur/6Old6S3tsQ+GGiJhNZbgRVCQiccSEXv3hrmbyUO0Ftuv0VJJLTeCqwQEjrhQKK29da0yRN228Hc6tNbXbEPBnZSQuutwAohoRMOlELvH2+N27nemtPILbffIh0JrbcCK4SETjhQRr17a+yIfrzl9lsUWELrrcAKIaETDlSA229RVgmttwIrhIROOFA9I7v9Vj24Jk2eOm36jJmz58ydv2Dh4iVLly1ftdp188SQ0HorsEJI6IQDlTey229t6679JkyeUg+vmbNmz53XCK/lK13QRWsltN4KrBASOuEAvWy598ZfX/aNC/7jXW866XlHH7ajT0/sb8x+hz1uynHTXvXaWe/6t3nnf27R4iW/+f3Kux+MfZiURELrrcAKIaETDjCokd1+axB93mlctDh/p9EdUdkhCa23AiuEhE44wA7YcMefli25ZNEXLpj37++ZNXPGi5875ajD99vhu0IMZp+DJh39zGknzpj1T3M++LEFF317ydJl/3fbak/+obmE1luBFUJCJxxg5B5ZvWr5sqVLFi9cMH/unNkzZ0yfNnXypB2/HddgGpd4TZ/RuMSr8QOvlX6nsfISWm8FVggJnXCA1mmE1+JFC+fPa4TX1CmTJ+y3o/eJGDy8JkxqhFevdxr9xKsqElpvBVYICZ1wgPZ7ZNXK5UuXNMJr9qyZ06fl4bWjz7MeMrwav9PYczOJ5StXrfZQoLJJaL0VWCEkdMIBCmPNXSt/9+sl//OtBZ+a994zZ516cr27Jk3cb6dvHNHEqP0mTHr630x7wwcXXbcu9tESQkLrrcAKIaETDlB4W99p7LnEa+qUyZN2+AlAfe03Zea8RcseiX1wjEhC663ACiGhEw6QqkdW3/znZVdctujLF847Z85p/zjj+BdMedKk/fbYscza9XHH//NnlvzFe4eJSmi9FVghJHTCAcrmkdWNS7wWLth6idfkSRP2G/QeXmMnTZu9YMlKnZWahNZbgRVCQiccoCI669217Kol3/3Ggo+9fdpjmufWvs889ZxvLHOf+XQktN4KrBASOuEAlbRx5ZL5s6ZNat5Z+02ZMXfRsrWxZ2RoCa23AiuEhE44QJWtWbZo3qyp+zR/33C/qbPmLVrunlpFltB6K7BCSOiEA1BbvWzR3BlTxjfNrDGTps2av2RlZ+wZaSah9VZghZDQCQegx6olC+bMmLxr084aN2n6nAVL7og9Ir0ltN4KrBASOuEA9LZp5ZIFs6dNan5j+f2mzJizcNlDsWekW0LrrcAKIaETDkBTG1Yunjdr2oQBLs9yl9JiSGi9FVghJHTCARjM6mWL5s2cslfTzNp10rRZ8xav3BJ7xgpLaL0VWCEkdMIBGIbVyxbOmTFl96ad5S6l8SS03gqsEBI64QAM2+aVSxbMmT6p+fOnd5s8Y86CpQ/EnrFaElpvBVYICZ1wAHaUu5QWRkLrrcAKIaETDsBOcpfS+BJabwVWCAmdcABGxl1KI0povRVYISR0wgEIwl1KY0hovRVYISR0wgEIyF1K2yuh9VZghZDQCQcgPHcpbZOE1luBFUJCJxyAlnGX0lZLaL0VWCEkdMIBaDV3KW2ZhNZbgRVCQiccgPZwl9IWSGi9FVghJHTCAWgrdykNKaH1VmCFkNAJByCGB9ylNISE1luBFUJCJxyAiNyldGQSWm8FVggJnXAA4lu91F1Kd0pC663ACiGhEw5AUbhL6Q5LaL0VWCEkdMIBKBh3KR2+hNZbgRVCQiccgGK67+qvnD3jmD2aZtauj33JW8/76s9vrfx18AmttwIrhIROOACFNthdShtvHC5YXN13DhNabwVWCAmdcAASsPmmSz95+rTDm1+eVXfIs2e8+/zFv6/cnUoTWm8FVggJnXAA0jHoXUozu2VPOFxYnXs7JLTeCqwQEjrhACTngd98Y97bT3jyngN2VsduT3jJW6pwkVZC663ACiGhEw5AslYvX7Jgzoypg/xEq+wXaSW03gqsEBI64QAkb8PKJQvmzpo2wIOku0Nr+qx5i5atjj1qYAmttwIrhIROOAClsWlV9oTDaZObP3qnjBdpJbTeCqwQEjrhAJTP6mWL5s+ZMWWAZ0lnxk6aOmPOgiUrE79IK6H1VmCFkNAJB6C8hnmR1vxFqV6kldB6K7BCSOiEA1B+G1YuWThvWBdprYo96o5JaL0VWCEkdMIBqI7GRVrTp5TmIq2E1luBFUJCJxyACirLRVoJrbcCK4SETjgAFfbIyrQv0kpovRVYISR0wgEg2Yu0ElpvBVYICZ1wANgqtYu0ElpvBVYICZ1wAOgvkYu0ElpvBVYICZ1wABhYwS/SSmi9FVghJHTCAWBoPRdp7Vqsi7QSWm8FVggJnXAAGL6CXaSV0HorsEJI6IQDwE7ovkhr39zNEBIAAB8bSURBVLgXaSW03gqsEBI64QAwAnEv0kpovRVYISR0wgEggDgXaSW03gqsEBI64QAQ0Kabf7rwnDe96PHjBg6tvZ8y/Z3/+a1f3RXgb0tovRVYISR0wgGgBbpWXf3Nj5w+/cl7DRxaU9eM+G9JaL0VWCEkdMIBoJXuv+7iT/3Lyc84sElhzRvxPzyh9VZghZDQCQeAdnjkT5ddePZrjzt0tMBipyV0wgGgnbKLtD6QX6TlLUJ2VEInHABi6HogwD8kofVWYIWQ0AkHgGQltN4KrBASOuEAkKyE1luBFUJCJxwAkpXQeiuwQkjohANAshJabwVWCAmdcABIVkLrrcAKIaETDgDJSmi9FVghJHTCASBZCa23AiuEhE44ACQrofVWYIWQ0AkHgGQltN4KrBASOuEAkKyE1luBFUJCJxwAkpXQeiuwQkjohANAshJabwVWCAmdcABIVkLrrcAKIaETDgDJSmi9FVghJHTCASBZCa23AiuEhE44ACQrofVWYIWQ0AkHgGQltN4KrBASOuEAkKyE1luBFUJCJxwAkpXQeiuwQkjohANAshJabwVWCAmdcABIVkLrrcAKIaETDgDJSmi9FVghJHTCASBZCa23AiuEhE44ACQrofVWYIWQ0AkHgGQltN4KrBASOuEAkKyE1luBFUJ+wm9cTeaPN1MAN14fewIyK26IPQGZ5f8XewIyfwqwxNwosKolDywAoPUEVnUILABoE4FVHRv3iP1vGwBUwx4bY6/6wyKwgvi8wgKANtjj87HX/OERWGFsCHDpXimcWP+X/8zYF1Jy8wH18/D12ENwRbYYuMw9uo/WT8PRsYfg5lPq5+HtIdaZDbFX/GESWAT1yvpX0Hmxh6B2cP08XBF7CG7KAiuNNzNK7Sv10/DM2ENQm1U/D/8ce4h2ElgEJbCKQWAVgsAqBoFVDAILRkJgFYPAKgSBVQwCqxgEFoyEwCoGgVUIAqsYBFYxCCwYCYFVDAKrEARWMQisYhBYMBICqxgEViEIrGIQWMUgsGAkBFYxCKxCEFjFILCKQWDBSAisYhBYhSCwikFgFYPAgpEQWMUgsApBYBWDwCoGgQUjIbCKQWAVgsAqBoFVDAILRkJgFYPAKgSBVQwCqxgEFoyEwCoGgVUIAqsYBFYxCCwYCYFVDAKrEARWMQisYhBYMBICqxgEViEIrGIQWMUgsGAkBFYxCKxCEFjFILCKQWDBSAisYhBYhSCwikFgFYPAgpEQWMUgsApBYBWDwCoGgQUjIbCKQWAVgsAqBoFVDAILRkJgFYPAKgSBVQwCqxgEFoyEwCoGgVUIAqsYBFYxCCwYCYFVDAKrEARWMQisYhBYMBICqxgEViEIrGIQWMUgsGAkBFYxCKxCEFjFILCKQWDBSAisYhBYhSCwikFgFYPAgpEQWMUgsApBYBWDwCoGgQUjIbCKQWAVgsAqBoFVDAILRkJgFYPAKgSBVQwCqxgEFoyEwCoGgVUIAqsYBFYxCCwYCYFVDAKrEARWMQisYhBYMBICqxgEViEIrGIQWMUgsGAkBFYxCKxCEFjFILCKQWDBSAisYhBYhSCwikFgFYPAgpEQWMUgsApBYBWDwCoGgQUjIbCKQWAVgsAqBoFVDAILRkJgFYPAKgSBVQwCqxgEFoyEwCoGgVUIAqsYBFYxCCwYCYFVDAKrEARWMQisYhBYMBKn17+CvhB7CGrH1M/Dn2MPwZoxHR37xx6C2o/rXw4vjz0EtffXz8O82EO0k8AiqFuf3PGyR2IPQe3yA3Y9K/YM1GqfHLfXN2PPQG3L63Y5/Hexh6B2zzM7pq6JPUQ7CSwCeyj2AGQ2r4s9AZn13iAshIc7Y09ApmLLg8ACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWQXU9eMttG2IPQY8ffu1rX7sy9hBV1nXf766/rzP2FFXXef+KZbes7Yo9RvVk338eGnSPDTdfd2eJvz4EFsFc9/GTJozuqNv7Gf96+cbY01D//padjZNjT1FVnT+Z+fjdsjMw/oRP3h97mMrquvp9U8dkZ6Fjv7//1F9jT1Mtq7MX/qYBP/3Ql194YHZidj1s5pItbRyrjQQWYXRe8rcd2zv004/EHqny7jpIYEWzed5jtvty2HPOw7EHqqSu7x+7/XelXV//p9gTVcnnOwYJrLXv3H27M/PoL5TyB4wCiyDuf1lHX4/+WeyhKq7r7zoEViw3/02fL4cn/iH2SBV0/yv7flca87ESvyFVNM8fJLB++4Q+Z+ZVq9s7XFsILEL4wxH9+qqjY5fzSvkfJck4v0NgxfKDvft9OYy/JvZQlXPToU2+Lb18U+yxquK2UQMH1mVj+p2YI+9u83xtILAI4N7Dmnwjqzsv9mBV9sdxAiuWa3Zv8tVw0M2xx6qYO49s+l1ppp9htcc7OwYMrBX7NDkxf1u+C3cFFiO35cXdXyGTP/jLOzbc94cLej7u+Frs0apr/VM6BFYkqx7deOkPeO+Vt26484dv2rXx4Qv8RLedup7X/RXw3M/+4f6Nd155Ts9/Bn4q9mTVcOUuAwbWmqMaZ2LPM668bd2fv/fS7hMzq+0ztprAYuQWNr48dv/y1l8F+fUxjU173xNzrkr7557IFVjt1tl9YfVZ67s3rHhqY8M3oo5VNd9qvOgTf9KzYdOH8l9y7tj33phjVcWP9uwYMLDe0/jUi3p+ufYX+zc2/LKdA7aDwGLEOp+cf3Hs9avttj3y6sZXzOnRpqq4H239wbvAardF+es+6qJtW9Y0fpz4RD/Cap+uxzf66rbttn278SXxr9GGqopN//v3Pd9/mgTWPXvkn/n7bW8J3nBwvuXv2jhiWwgsRuySxhfSl3tt3Nj4+fxo/7EYxT0HC6xYtjwpf93nbr/tT41ren8RaaQquq7xr3/v++w2Lgt6rNBtnTVXfe6Maftt/fbTLLDOyj9x8Pa/Nvj9xs7L2jZmewgsRuwf8y+N5/T5pnVTY0n5SpyZKq7rxLxuBVYMX2t8PfS+deKb841vizRSFb0/f8Wn9d54d+Nr4o9xRqqCazv66B9Yj4zPP/HfvTaenG87pV1jtonAYsSObPLlUutZUk6KMVHlfSZ/7c8RWDFMyV/2K3pvvDzf+OQ4E1XSq/JX/DN9tj4337ooykSVcM3QgdV4y+Ow3v8FclW+cd/N7ZqzPQQWI/WX/Ctj936/YntZvv0JMUaquuvzJ7Scfo3AiuCv+as+pc8PdLfk79mOeiDOTFX0nPw8LO2ztfEe4fwoE1XCMALrtHz7+3tv7Gq8sV6yN9EFFiP1nfwL44X9tt+Xb98rwkRVtyH/Hc4nrhNYMfxX/qp/oe/mG6/JrIsxUTU1Fuy+j8Y5p9niTjhDB1ZX4/avf+6z+dx869ltGrNNBBYjdf4AXxhdjYuwPJKw7d6Vve5jrq0JrBgaN4G7begdaanGb9lc1Wdr4+4l/xVlokp4cMlWxzQPrD/nmw/o+4sGVzR+8tumMdtEYDFS/5Z/YXy+3/aH8+2jSvqY9AJbkr/w82oCK4a1+X9XuNgqulPzf/s/12frS/KtF0eZqGpe1DywGm95TO+7+eH89w/2KNdt9gUWI/WW/Ovlsn7bG79Osn+Eiart3gnZ6/68LQIrisaL7v5v0Z2Xn4jje29cPTbfen2ckSpmgMD6YL753H67P7WEP/oVWIzUDb/MPNRv+xcGuDaLlurK7/C3z601gRXFV/MX/dOxx+D2xgOKru618d35tqmRRqqYAQLrDfnmi/rtflK+/Yp+21MmsGiR7vu7u5y0zT6Xv+z5Q1kEVgTvzV/0H3V/1HXvH1eujTpPdZ2Sn4nDV2236fuNx+O5S0NbDBBYjQdJXdlv99n59gVtGa1dBBYt0ninvd9v8dBaK/KnULw2/98CK4LGI0JW1v9X16//5XH5BVnjX/yJG2OPVUF3TcpPxWFbl/JN8xo/1Dq1XNf5FNYAgXVIvvnmfrt/LN/+nraM1i4Ci9a4ufFl9LzYc1TMxqfn/9XeuN2SwIqgcXeAdbXaVZM7tvPqvr+VTsvdeEDjtX/B5/60ZuPdSz9wWOPDl/S7ZR8tMUBgNe7jvqHf7hfl28v1sAOBRUvc03jSavkej15wc7IXfdTPGx8IrAgOys9A1/ozRnX0sssH/Nyk3f70/zr6e6O3bNukeWB15V8Yo/vv/r1899e1ZbR2EVi0wu+7/+v9LbEHqZgr8m9ePfckE1gR5G/R7rX5lf1X9pOs7O32yOl9T8Kjvht7pupoHljr8q3j++/eePRHuZ6tJrAIb8tHG78M3fF0N65uq/snZq/6lJ63QARW+23JX/ND3tzkRycdJ/e9tyKtturoPufg392Xr22aB9Y9+dYmt+/5af6Jl7ZltHYRWAT3y2O7v5kd+dfYo1RLV/58291X9HwssNrvoe0W84P/+ZKVD6+9+X9O36t7w3mxp6uYTZ/Ys1/lPt1VC+3SPLBuybdO7L/7r/JPHNeW0dpFYBHYX07p+Vb2pNtjz1IxX8xf9gu3fiyw2u+OrSv5uI9tfUrUvbMam0b7ZcJ2+tNTtp6MUbtvS6xZ/a+vphWaB9atAwXWL/JPPKsto7WLwCKoh84e1/N97KTVsYepmBvzX885cdv7UAKr/VZu/fHVsu03f6qx8bWxxqqiq/ZtvOiHzPnRPVtq61d+7dTGXRo6nt//rsi0QPPAui/f2uQtwsvzT5TrztQCi4A6v3hwz/qy1wUuOGmvTc/MXveD7t62RWC1X89PsMb9qvf2xgOlRvW/+w8tcuN++Uu+26e2/cDq9tc0Ts4JLsRqh+aBtT7f2uQi90vyT7y8LaO1i8AinOv+ZuuP4WfeEXuYyjk7f+F/uN0WgdV+Pddg9X2CwQON67DOjzJUFW15Rv6CH/jH7Td2nd84Ox+NNVWlDHCbhvyhzk1u09C4NfWpbRmtXQQWoaz751168upF18QepnquzO/Q8I7tNwms9tvS/QPcB/p+4szGz05izFRJX8pf77HL+mx+X755z3ujzFQxA9xodO988/p+uy/Mt89qy2jtIrAI5A9P6smrY37s3cG2e/gx2Uv/pF73xRBYETSupn5Vv+1X5Nv3jTBRNeWPNOh4d9/NGx6bb/9YjJGqZoDAatxQf2W/3T+cbz+zLaO1i8AijM/1XNx+xEXuWB3BTfmL/59Ltvdf+bbjGh/8PvaEFZHfyb3js/22rxs9wH+40wp/yV/tUXf1+8Rn8k8cG2GkyhkgsJ6fb+7/sOd3lPBNdIFFCF1zu/Nq/Mf9DnQUN3UMwQ+y2qNxE7hL+n+i8fsff2n/RJX0rfzVfk7/T9yef2Kc5xG23gCB9bZ880X9dn9Fvn1JW0ZrF4FFAF1ndK/iL7kl9ihVJbAK4h/zV/uq/p9oPD3qd+2fqJL+M3+1T2vymUfln7m17RNVzwCB9Yl887n9dm/cdL9cN08UWATQfZeffb/s4qtYBFZBNFb2y/p/ovH489vaP1El/Vv+avf9Xc5M41pR75i33gCB9cN88/S+m9fm76HvVa4lRGAxcksbN/A7fMXQu9IiAqsgfpC/2l/u/4l98k94a6o9Gp07p8lnJuWfcUOy1hsgsG7LNx/Qt6SuzDeX7OI4gcWIbWr8t/nRq2IPUmUCqyAadxrt/8vmjSeENLmBNa3w1fzlfn3/T3TtkX/mkf6fIbABAqvWeIJR3/8cb/wS4QfaM1q7CCxGbEH+lTHh/thz0IfbNMTw7OxFf0y/X6X9XH4yynWf6gJrPHdlUv83nK7NP7FfhJEqZ6DAOrtpSj0t31qyaxQFFiO15dD8K+Pi2HPQl8CKYV7+qn+nz9auKfnm/rdvoCUeatw25tp+n3hvvv0VEUaqnIEC6+p8+5G9/xvkunzjY8p1CZbAYsQad1A8MfYY9COwYvhz/qpP7vMe1Pcab9S6S0O7nJC/3sf33Xxn/kT0ZtfIEdpAgbXl0fkn/qfXxjfn2/65XbO1icBipE7LvzL639aE2ARWFM/PX/Z/7PXf4n9p3BxgRqyZqucrjaK9oPfWjS/Jt47zqJw2GCiwun/r/Ii1221qXOI+9q9tG649BBYjlT+jZdQ9scegH4EVxa8aS/tpm7dtWvG4fNMu18ebqmo2N+47Nuoz24fumsbNLDv+LdpYVTJgYK1v/AjrrdveJLy78QUyu43TtYXAYoTuy78yRj91AOV6dmdaBFYcr2qs4s/uudvohvmNWzT0fhQ3rfWjxmve8Yqt101vvOjwxqYJD8ccrDIGDKzaBY3z8IZN3R/f2HhC5O53tnO8dhBYjNBPOgb1otjzVZjAiuOWA7v/5Z/yge8sXfKVNx/U/eFzPEaqnc7q+R707LO/9ZOrfvDZmYd0fzzuZ7FHq4aBA2vLSxtnYtJnbu+srVv21t0aHy5s+4itJrAYoU8LrKISWJH8Zo9mXwpHlu6/z4utc2bzb0m7fDf2ZBUxcGDV1hzVczZ2O2DrifnXdg/YegKLETpbYBWVwIrlh+P6fyU834XVbbb5vaOafEc68Iex56qKQQKrdsNh/U7Ma/vdOy59AosReovAKiqBFc2KqX2+DnZ776ah/xSB/eSIft+QTvRzxHYZLLBqq2f0Pi/jv1CyW2DlBBYj9HKBVVQCK57OC5683VfB7qd7jlQUm785ZfvvRru+9rexJ6qQQQOr1nXRM7b774/X3NjW0dpFYAG0wPUfOPGZh47Z56i//afLPPkumq6bv/T6Z03aZ9cDn/S8d1/yQOxp2N6f3nvCMQeOfcxz/uELZT0xAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLACAwAQWAEBgAgsAIDCBBQAQmMACAAhMYAEABCawAAACE1gAAIEJLICB3dSR+WzsMYDUCCyAgQksYKcILICBCSxgpwgsgIEJLGCnCCyAgQksYKcILICBCSxgpwgsgIEJLGCnCCyAgQksYKcILICBCSxgpwgsgIEJLGCnCCyAgQksYKcILICBCSxgpwgsgIEJLGCnCCygLDq/8ZapRzzle9tt2bD4fS9/wiHjR+9z2DGvnfebrkH+7J0fOumZE8Yc8IQZ8//aa3uzwOq85Pu5B8ONDpSNwAKS9u0sgF6U/a+fHtMnhm6btW/H9h77kfX9/+iU7H/9/uRdt+41esYt2+3TJLA639LY8X2DBRtQcQILSNrWwPr6Lh29YqjrY+M7+jryqn5/NAus/9691157/fe2ffoHlr4ChkFgAUnrCayvdfdVTwx1/VO/vKrbY0nfPzql1vW+vnvt8v2t+/QLrM63Nvb5d30FDEJgAUnrDqyf9/RVTwz9R7O+6ujY/54+f3RK7cLGZ0YdtM/Wvfa8o2efvoHV01fv11fAYAQWkLRGYD1w+NY4asTQTeMaH+335vnf+dXvLv38WRO6Pz2rzx+dcm2256Pf/8dNtdqa772oe6+39uzTJ7A6Z+krYDgEFpC0RmDNzP7vvjM/e80tD3Tmm9/QCKE5a3v22/TtR+db9tnY+48+flL9/7zzoZ5tXxmT77V3z169A6unr+a2/LCAxAksIGl5Je1V/397zNvutgkb9s5D6BPb73nLfvm2n/X+o5mPbrfX5zt67dUrsDrfpq+A4RFYQNJ6KumQa7bf+qN827G938j7aL7xa/3+6Nu336nrWfm2hd0fbh9Y+goYNoEFJK27kkb1ugFD7ZP5xo/33nV5nx9Xdf/Rwx7qtddn8o3/2f3RdoHVeVpj/3PCHwRQOgILSFp3Jb2z99Yz8o2/773x/nzjh/v+0U/03ut3vfbaFlidb2/s/oHghwCUkMACktZdSSt6b13y2boL+/yq3+qmgbXb/b33uqt5YHXpK2AHCCwgaY1Ketpwdr22aWC9oM9ea5oGVk9fvTfQ2EDJCSwgaY1KOm04u57VNLDO7rNX08DqOr37gvhTAo0NlJzAApLWqKTzh97xrvd2NA2si/rs1yywPtPTVx0dPw42OVBmAgtIWqOSLh50nzXXfPVdLxrT0TywLu27c5PAOmJrX3VMeiTs/EA5CSwgaY1Kurz5Jzuv++/zXv83B3Rsr29gXd3nzzQLrFz3owr7vqUI0ITAApLWqKRfNvnMum+9/sCO/voG1jV9/thAgfWYlS/N//8xf2rVoQAlIrCApDWvpFqt86JD+6bVniMJrMNvrv3fbvn/Oq6zdUcDlIXAApI2QGCtnto7rkYd8YZL7h5BYB1xS/2DDzX+9xdadjBAaQgsIGnNK+nhY7e11RNfPfeb162r9U2nHQqsI/+SfbBxcv7Bo+5p2dEAZSGwgKQ1r6RXdsfVUR+8/IGtG3c+sCbd2vjo541/6szgRwGUjcACkta0kv7YCKFjvt/rcqmdD6zP9HzyLY1/8E+CHgJQQgILSFrTSnpDvvGFfW5Z1fxZhMMJrM/2fPL+xu8lPn59wCMAykhgAUlrWkmPzraN/mufXf9v5IFV+1rjR1hzQ40PlJTAApLWrJLW59ue13fXHwcIrK4X5hvGrgg1P1BOAgtIWrNKWpFve0PfXWcFCKzaDePyLS/oCjQ/UE4CC0has0r6c77tlD57/mV8iMCqfaDxJuHCUAcAlJLAApLWrJIaV7M/pfeOG7pvPTrSwNpwVL7pgPuCHQJQQgILSFqzSuo6ON/Y6wGFa57f6KvtHta8c4FV+2njn/OmcMcAlI/AApLWtJLelG+ctHLrhs5vTOjuq47jugb9o0MHVvdNIDquDHkYQMkILCBpTSvpqkYCjX39VffXc2rtz95/eMc2s25Yf//Af3QYgXXv/vnGJ21ozREBZSCwgKQ1r6QZW3Nq7IS9ev7n7L/v+V8nD/JHhw6s2pca/5TzWnE8QDkILCBpzSvp/v/X0deuF9Z+Eiiwup6bbx13UysOCCgFgQUkrXkl1VYd16evXlDfpWt2mMCqXT8m3/xiN8MCBiCwgKQNEFi1LZ84dFtdjTrusryFOs8eu4OBdccrMpf1/af/V775FX8IeyxAeQgsoKQ2Lz7zbw4dP/Yxx/7DF+7euvHm+W95w5zv3j3IHwMIQGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAEJjAAgAITGABAAQmsAAAAhNYAACBCSwAgMAEFgBAYAILACAwgQUAENj/B0VJkgWzpXYrAAAAAElFTkSuQmCC)
# dev.off() # Close the plot connection
There is no universal rule of picking the optK. Usually we prefer those “elbow points”. We pick optK=2
### 2.4 code chunk number 3: normalization (optional)
library(iCNV)
optK <- 5
D <- diag(lrr.svd$d)
D.lowrank <- diag(c(rep(0,optK),lrr.svd$d[-(seq_len(optK))]))
lrr.denoise <- t(lrr.svd$u %*% D.lowrank %*% t(lrr.svd$v))
snp_lrr <- lapply(seq_len(ncol(lrr.denoise)), function(i) lrr.denoise[,i])
save(snp_lrr,snp_baf,snp_lrr.pos,snp_baf.pos,
file=file.path(dir,paste0(projectname,'array_lrrbaf_',chr,'_svded.rda')))
2.5 Mutiple platform CNV detection using iCNV
At this step, we should already have PLR and variants BAF from sequencing, normalized LRR and BAF from SNP array. All the input should be in list form. This is mainly to accommodate the fact that length for ngs_baf
and ngs_baf.pos
is sample specific
### 2.5 code chunk number 1: iCNV_detection with genotype
str(ngs_plr) # List of n vector, each one is the PLR for an exon
str(ngs_plr.pos) # List of n matrix (p x 2), each one is the start and end location for an exon
str(ngs_baf) # List of n vector, each one is the variants BAF from .bam
str(ngs_baf.pos) # List of n vector, each one is the variants BAF position
str(snp_lrr) # List of n vector, each one is the normalized LRR for a SNP
str(snp_lrr.pos) # List of n vector, each one is a SNP position
str(snp_baf) # List of n vector, each one is the BAF for a SNP
str(snp_baf.pos) # List of n vector, each one is the SNP BAF position
projectname <- 'icnv.demo.'
icnv_res0 <- iCNV_detection(ngs_plr,snp_lrr,
ngs_baf,snp_baf,
ngs_plr.pos,snp_lrr.pos,
ngs_baf.pos,snp_baf.pos,
projname=projectname,CN=1,mu=c(-3,0,2),cap=TRUE,visual = 1)
icnv.output <- output_list(icnv_res0,sampname_qc,CN=1)
head(icnv.output)
The results plot looks are follow. Each row is a sample and each column is a hidden state. The color indicates hidden state Z-score (large positive number prefers amplification, low negative number prefers deletion). Black dots represent amplification detected, while white dots show deletion detected.
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We could further convert icnv.output to Genome Browser input file:
### 2.5 code chunk number 2: covert result to Genome Browser input
icnv.output <- output_list(icnv_res=icnv_res0,sampleid=sampname_qc, CN=0, min_size=10000)
gb_input <- icnv_output_to_gb(22,icnv.output)
write.table(gb_input,file=paste0(projectname,'icnv_res_gb_chr',chr,'.tab'),
quote=FALSE,col.names=FALSE,row.names=FALSE)
The color code for CNV in Genome Browser is:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAHCCAIAAAA4spA0AAAACXBIWXMAABcRAAAXEQHKJvM/AAAgAElEQVR4nO3deXRV5aHw/+cQCQQIwTAoCoZBEEERHAEFZ5dXrGK1VlpF6mUoy3Zh0bYuvNdb7q3tRWqhRaxFUKDqbWtXiwzq2646AIKtSxC4YgQEwuQPECGVEAgZfn/smjdvBgxheAh8Pss/zM4+Zz9nh5x8z3722SdVVlYWAAAghgaxBwAAwMlLjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIjmlNgDOLmMHz/+pZdeij0KAODE0aBBg6997Wvf//73Yw+kjhwZPaZmz56dm5sbexQAwIlj1apVf/zjH2OPou4cGT3Wzj///CVLlsQeBQBwgujbt2/sIRwWR0YBAIhGjAIAEI0YBQAgGueM1mMHDhx45ZVXioqKYg8EThZt27a94oorYo/iqFi0aNEnn3wSexRwskhPT7/pppsaNmwYeyDHBTFaj73yyiuDBg2KPQo4iTRo0GDPnj0ZGRmxB3KEFRYWXnnllaWlpbEHAieR2bNn33rrrbFHcVwQo/XY/v37Qwi3hXBa7JHAyeDdEN4rLT1w4MCJF6MHDhwoLS0NF4VwSeyhwMlgWwh/+ucfcYIYPQG0DOGM2GOAk0Fm7AEcdZmeTeCYKI49gOOMNzABABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABDNKbEHAAA1+O8Q9obwlRAuqWGFTSE8E0II4QchNDt24zoypoawucrCtBAyQ+gQwkUh5ByTYXwUwgshtAthxBdLVoSwIoQQwu0hZByTMcTdLrGJ0XpvUT18Bob6aEvsARx1H4WwJ/YYKikKIYSwIoRPalih4Iv/+T8hNDwWIzqSdlW3sCSE3SG8H8L7IbQO4awQUkd5GPlfDGbOF0u2hrA1hBDCK0dzr24LoSSE1hU2cWy2ezw43n7RYhOj9ViXLl1OO+20bUVF22KPBE4S57dr16RJk9ijOPKaNGly/vnnb968OXwceyj/r90lu8tCWZMdTRr9o1G1KxQXF38ePg8hZG3IatCgnp149vn+z4tDcaNGjRo3bly+sKysrKSkZP/+/cXFxWFHSM9Pb9q06VEdxoEDB/aEPafsPyXz48xkSWFh4b6wLxzlvZqfn19aWtp8T/O0tLRjud3jRPpp6V26dIk9iuNGGcdQnz59+vTpE3sUx52WLVuGEH71q1/VtMKSJUuSf66ffPLJsRzYEXHZZZdV/b1LT0/v0KHDkCFDFixYcDh3Pnfu3BDCZZdddqRG+8ILLwwcOHDgwIGfffbZkbpPqLOT4cnhwQcfrPqtkpKShx56KHlo8+fPP6rDOOJPI7WUk5MTQnj33XeP8XZPSPW9Lk7wVx5wfCoqKtqwYcOsWbMGDBgwcuTI4uLiKMOYNGnSj370o61bt5YvWb169fz58+fPn79///4oQwJCCA0aNHj88cd79OgRQvjJT34SezhwdIlROBaGDRu2/gvr1q1bunTpjBkz+vbtG0KYOnXq8OHDo4xq0qRJ48aNqxijcGLYsmXLQw89dOWVV7Zo0aJFixb9+vWbMmXKgQMHKq7zzjvvpFKpO+64o7S0dNKkSd27d2/cuHGbNm2GDh26c+fOEML7779/yy23ZGdnN2vW7MILL3zhhRfKysrqsKG6SaVSY8aMCSG8/fbb69atSxbOmDEjlUrdfPPNlVbet29fKpVKpVJ79vzzbMShQ4emUqnXXntt586do0ePzsnJadSo0VlnnTVixIiNGzcefNNvvvlmKpU677zzKi3fsGHDyJEjc3JyGjdu3Llz59tuu+29996revPly5ffc8893bp1a9q0aXZ2ds+ePb///e9v2rSpfIW77rorlUrl5eWFEC655JJUKvXb3/72INutzU5ObnvHHXeEEObOnTtgwICsrKzs7OwBAwbMmzev6g+O40vsQ7Mnl/p+IP0oMRMX6joTd5jza6bJOM7V7cnh7bffzsrKqvr3rl+/frt37650269+9auDBw8OITRq1Khhw3++a6Z3797z5s1LT08PIWRmZpbfw/PPP19x67XcUE0O8uSQ2LdvX3I+Zfl2n3vuuRDCwIEDK61ZWFiYbPrzzz9Pltx7770hhOnTpye/5hVlZmYuXry4/LZVn0beeOONEEKPHj0qbuL111+v9uzVqVOnVlxt3rx51cZGmzZt8vLyknUeffTRyy+/PNm9PXv2vPzyy//yl7/UtN1a7uTktrfffvsvfvGLZIXmzZvXNMgTT32vC0dGIRozcXDEFRUV3XPPPfn5+e3bt589e/aOHTs++uijn/70p2lpaYsXL37ssccqrf/qq6++/PLLM2fOzM/P37Nnz3/8x3+EEJYtW3bzzTf36tVr1apV+fn569at69mzZwjhiSeeqPOG6qBRo0ZnnHFGCGHFihV1u4cHH3wwLy9v7Nixq1at2rRp08yZM0899dTPP/98yJAhh3R2UEFBweDBgwsKCi699NI333wzPz//gw8+uPPOO0MIo0ePXrt2bbJaUVHR3XffHUK46aabli5dWlBQsGPHjj/84Q9t2rTZvn37z372s2S1cePGLVq0qG3btiGE6dOnL1q06Lrrrqt2u4e6k5cvXz5mzJhRo0Zt3bo1Pz9/7dq1yQTUww8/XObg6PEsdg2fXOr7a5ejpM5HRjdv3vzggw8m0zFZWVl9+/Z98skni4qKqt729ttvLykpmThx4rnnntuoUaPWrVvfe++9n376aVlZ2bJly77yla+ceuqpTZs27d279/PPP19aWlppALXZUE2+9ODH9OnTk0f38ccfV1y+d+/e8ePHX3jhhc2aNTv11FP79OkzderUffv2VVynpiOjX3rbr3/965WeCv7nf/6nrIYjE7XcA+VHJsrKyubMmdO/f//mzZufeuqp/fv3nzt3btW9Cl8qeXKojfInhylTpoQQsrKyKj1dzJgxI4SQkZGxdevWZEn5E8tTTz1VvlpJScnZZ58dQsjOzk6eIhKvvPJKCKFJkyblS2q/oZp86ZNDWVlZ0lL/+q//mnx5qEdGQwjjx4+vuGZubm5ySHLmzJnJktocGf3pT38aQujWrVtBQUH5wuLi4ksvvbTiJt59990QQosWLfbu3Vtxo1OnTg0hXHHFFRUXVp2Zqbrd2u/k5LYhhMGDB1dcc/Xq1cny9evXl5246ntdiNFjqr7/czlKzMRVmokrKyvbvHlz9+7dq93orl27ylerNkZrc1vTZNQLdYjR/v37hxDGjh1b6a6Ki4s7d+4cKjzVJE8OaWlplV7j3XrrrSGEb3/72xUXlp/yWL6k9huqSW1iNBnM17/+9eTLQ43R1q1bV+rCsrKykSNHhhCuu+665MvaxGgS6FV/i6dPn37OOed85zvfSb7ctGnTn/70p6oXCXn55ZdDCBdddFHFhbWJ0drv5PIY/eCDDyquWVpamjx9rVy5suzEVd/rwjQ99dIJPxP37W9/e9WqVS1btpwxY8bWrVs3bNgwceLExo0bL168eOjQoQe/w9rc1jQZ9ci4cePW1OD3v/99pZU//vjjEMK1115baXlaWtqVV14ZQih/M1AieWdPxSXJVT+7du1adeHhbKhuduzYEf7fV8uH5Nprr83IqPxZRgMHDgyHMrzi4uINGzaE6h7sfffdl5ubO3ny5OTLdu3aDRo0KCnIxJ49e+bNmzdhwoQ6Df+Qd3KTJk3OPffciktSqVTVnx3HGxe953gxatSoUaNG1XLladOmrVu3Lisr6+9///vpp58eQmjVqtXDDz/ctm3boUOHPvnkk9/73veS0koUFhY+9dRTQ4YMSb589NFHX3jhhbVr12ZnZ7/yyivJ0ZeOHTv+93//90033fTRRx/VeUN1065du02bNiVv4A0hLFiwYN68eQ0bNlywYEH5Mc4HHnigR48eN9xww8svv/zOO+/06dOn2rs6nNtW61D3wNq1awcPHvzUU08lX3bu3HnmzJldu3b97LPP8vLyOnTocGi7BkJo06ZNcmSuqk8//bTil4WFhcnVIaq+a6d84fr16ysuLJ8qqaSm5XXeUN0kR2Szs7PrdvOOHTvWtHDjxo3FxcWnnPLlGZCXl5ecYHrmmWd+6cplZWVvvfXWnDlzVq5cuXr16k2bNtX5VWgddnL79u1TqaP9iVUceY6MUi8l1wG5//77kzwqd/fdd3fu3LmwsDCZFSqXlpZ23333lX/ZoEGD5G1Dd955Z8V5wPPPPz+EsHfv3jpvqG7atGkTQii/Jsu0adNCCMOGDas023799dffcMMNIYRXX321prs6nNtWqw574N/+7d8qfnn22Wcn02TlDxCiSM6HKSoqqi8b2r9/f1JjF1xwwcHXrOliUtW2ZrKwuLi4lu9h2rdvXwihQYMG5R+VVJO9e/cOHDjw6quvnjhx4t/+9rcOHToMGzZs4sSJyamfR1a1O7k2bc1xSIxyvDATVz4Tt2bNmhDC1VdfXXXNfv36hRCWLl1a010dzm2rZZqMeiQjIyM56SW5hmUlyVG0mg6yHocbevHFF0tKSkIIybkuB1HTpUOrHV7yS92+ffta/mJ26tQphFBaWvql1yR+9NFHX3311ZycnD//+c+7d+9+6623pk6d+sADD1R7gPZLHbOfJtF5DcHxwkxc+UxcEpTJZVOqtXv37pq+dTi3rco0GfVOp06dtm7d+vrrr19zzTUVl5eUlLz11lvhyOXL0d5QWVlZcv56//79K8Vc1Q9Iq/bi8yGEhQsXVp2LT64MUPvhZWRktGvXbvPmzQsXLvzmN79Z8Vtz5sz5xje+ccEFF7z99tshhD/+8Y8hhAkTJlx//fUVVyu/9tOhOmY/TeJyZJQTzQkwE5fMuOXk5JxTg1atWtV0b4dz20NlmozjUHLZsilTpmzbtq3i8pkzZ65du7ZRo0ZVP77oONxQaWnpD37wgw8++CCEMHbs2PLlzZo1CyGsWLEimTpPFBcXP/7449Xez/r165999tmKS3Jzc5OTee66667ajyd5fTt+/PiK2y0rK5s+fXpBQcHFF1+cLEkqudJs/u7du59++ulk/ar3fPAzSo/ZT5O4xCj1zwk/E5fc59NPP51bgz/96U813dvh3LYq02TUOyNGjOjQocPu3bsvu+yyuXPn7ty5c82aNT/5yU+SD90dPXp0+/btj6sN5efnb/jC+vXrly9fPmvWrCuuuCK5RPywYcNuvPHG8pV79+4dQti+ffvw4cOTK7WtXbt24MCBa9asqfb6ayGEUaNG/dd//deHH364YcOG5557rm/fvkVFRZ07d/7Wt75V+wc7duzY5s2br1y58pprrlm4cOHnn3++fv360aNHz5kzJz09fdiwYclqvXr1CiE88sgjb7311q5du9avX/+b3/ymT58+q1atCiF8+OGHK1asqPTyddmyZaHmJD1mP03iEqPUS8k5TK+//nql5UdjJu6obqjambjkPpPn6EpWrlz52muvHWTO63BuW61jtqvhiEhPT581a1ZmZmZeXt4tt9zSqlWrrl27PvLII6WlpVdcccUjjzxyvG1o2rRpHb/QqVOnXr163Xvvvck1UEeOHJkcUyzXuXPnpMOef/757OzsrKysLl26/PWvf50+fXq7du2q3vnw4cNbtWr16KOPdu/evWPHjvfdd9/u3bszMzNnzZp18JOUKmnZsuVzzz3XsGHDJUuWDBgwoHnz5p06dZo8eXKDBg0mTZqUvPUzhPDjH/84PT09Nzf3qquuys7O7tSp05AhQ7Zs2fLSSy+dccYZhYWFF1xwwYsvvlj+WJLHmJmZ+bvf/a7a7R6znyZxiVHqpRN7Ji65Pv/Pf/7z8os9JXbt2nXttdf+y7/8y+bNm2u6zzrc1jQZJ5j+/ft/8MEHY8aM6d+/f1ZW1llnnXXLLbc89dRTr7/+esUPYjg+N5Senp6Tk3PPPfcsWLDg6aefrvoG9ilTpkyePLlXr15NmzY95ZRTbrzxxjfffDP5EM6qunbtunz58hEjRrRt2zYjI+OSSy757ne/u3LlyuTtjIfkq1/96vvvvz9y5MiLL764SZMmXbp0ueOOO957772Kl+Tr3bv3u+++e9ttt7Vv3z49Pb1Tp06jR4/Ozc294447fv3rX59++unnnntu+cvXSZMmXXrppY0aNWrSpMlBdtcx+2kSU6SL7Z+k6vtnJBwldfgEpv379ydXrMzJyZkzZ86nn366evXqxx57rEGDBiGEH/zgB5Vue84551S6z6SxJk+eXHFh8q72ir8Xtd9QTZIPWRk2bNj6L6xbt+7999+fOXNm+bz8sGHDKt6ktLQ0+VPRpUuX2bNnb9u27R//+Mdf/vKX5KTSCy+8sKSkJFmz6ken1P62ZV98Asqvf/3r5IZl1X0CSu33QE0fJVpWVnbaaaeFE/0TUOC4knwC04QJE2IPhGOhvteFtxpQLyVzNwMHDkzmbip+62jMxB3+hqZNm5a8aaCqkSNHVroIXyqVevbZZ6+77ro1a9YMGjSo4rc6duw4d+7cJASrdUi37dy5c15e3siRIx988MFnnnmm2jc0HLNdDcDJSYxSXyVzN5MmTXr33XdXrFiRlZXVq1evG2+8cdiwYYd0LlSUDaWnp7dt23bAgAHDhw+v+NF55c4555wVK1b84he/WLx48bJly0pLS5NJsfvvv7/qh/vV+baTJk0aNmzY8uXLazNNdgx2NQAnoVSZT4s+hpJp2fJJZwA4GoYOHTpz5swJEyY89NBDscfCUVff68IbmAAAiEaMAgAQjXNGAeBEM2PGjBkzZsQeBdSKI6MAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIjmlNgDoO62bNnywx/+sKioKPZA4GRx5plnTpw4MfYojorvfe97W7ZsiT0KOFmkp6ePHz/+zDPPjD2Q44IYrccWL178wgsvnBFC49gjgZPBrhB2hTBu3LjmzZvHHssR9o9//GPSpEnh1BBOjT0UOBnsC2FruPXWW7/2ta/FHspxQYzWY2VlZSGEl0LoF3skcDL4jxD+M/YYjq7vhjAu9hjgZLA4hMv/+Uec4JxRAAAiEqMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgGo/1qFkArh6ZpXeCeEVAipEP6/ozySPl9sqOJ/jULoGMK9ISw8ylsvNy+EVAh9Kix5MYSbQ7g5hF3Hagxxt0v9cUrsAVB3qVQqhHCjnyIcE4UhhC9+704w/3xQj4cwOfZQ6mx3CCGEB0MYW8MKxV/8T7c6HYfZH0JpCI1qcdvPq1tYFMKGEDaEMCuERiE0OfQBHKoDIYQQ3gsh+4slhSHsCyGE0PFoHomquqOOzXbrl+IQTtAnk7qRMfXYVVdd9Z3vfKeoqCj2QOBk0a5du8zMzNijOPIyMzP/8z//c/PmzbEHUnezZs3at2/fFRde0b1792pX2L59++zZs0MId3/l7iZNDjkGX3zxxT1799z2L7e1bt364GvOnj17+/bt3bp16927d/nC/fv3f/bZZx9++OG2bdvC/tA1p+tVV111qGM4JBs3bnzttdfaZLcZNGhQsuS999577733Ql33QC1V3VHHZrv1Tnp6+tH+N1CflHEM9enTp0+fPrFHUY+1bNkyhPCrX/2qphWWLFmS/MP+5JNPjupILrvssqq/Tenp6R06dBgyZMiCBQsO587nzp0bQrjsssuO1GhfeOGFgQMHDhw48LPPPjtS9wnHlaP95JCTkxNCePfdd790zeTJ4cEHH6z6rZKSkoceeigZxvz58+swjNo74k8jtVT7HcURVN/rwhFz+L8mTZr0ox/9aOvWrXW7eVFR0YYNG2bNmjVgwICRI0cWFxd/+W2OgqqPYvXq1fPnz58/f/7+/fujDAkIITRo0ODxxx/v0aNHCOEnP/lJ7OHA8UKMwv81adKkcePG1T5Ghw0btv4L69atW7p06YwZM/r27RtCmDp16vDhw4/mYGt0qI8CTmaFhYWPP/74RRddlJmZmZ2d3bdv32eeeabiy7a77rorlUrl5eWFEC655JJUKvXb3/62zptLpVJjxowJIbz99tvr1q1LFs6YMSOVSt18882VVt63b18qlUqlUnv27EmWDB06NJVKvfbaazt37hw9enROTk6jRo3OOuusESNGbNy48eCbfvPNN1Op1HnnnVdp+YYNG0aOHJmTk9O4cePOnTvfdtttyax6JcuXL7/nnnu6devWtGnT7Ozsnj17fv/739+0aVP5CjXtqJq2u2XLloceeujKK69s0aJFixYt+vXrN2XKlAMHDlQd8x133BFCmDt37oABA7KysrKzswcMGDBv3ryysrKDP2TqCzEKdZeVldXhCx07duzdu/e99967aNGiZCZuxowZr7zySuwxhhDCj370o2Qq5PTTT489FjiObNmy5eKLL/7hD3+4dOnSPXv27Nq165133hkxYsQ111yze3fylqhwzjnnXH755enp6SGEnj17Xn755a1atTqcjX7zm99MS0sLIZSfOXCotm7detFFF/3yl7/cuHFjUVHRpk2bnnnmmfPOO68Od/jGG2+cd955U6dO3bhx4/79+9etWzd79uyLL774mWeeqbja/Pnze/Xq9fzzz3/00Ud79+7dtWvXypUrf/azn1188cXlEXxIO2rx4sU9evR44oknFixYkJ+fn5+fv2TJku985ztXXXVVfn5+1fV/+ctf3nLLLQsXLgwh7Nq1a+HChV/5ylemTZt2qI+X45MYhSPMTBzUF9/+9rdXrVrVsmXLGTNmbN26dcOGDRMnTmzcuPHixYuHDh2arDNu3LhFixa1bds2hDB9+vRFixZdd911h7PRRo0anXHGGSGEFStW1O0eHnzwwby8vLFjx65atWrTpk0zZ8489dRTP//88yFDhhzS2UEFBQWDBw8uKCi49NJL33zzzfz8/A8++ODOO+8MIYwePXrt2rXJakVFRXfffXcI4aabblq6dGlBQcGOHTv+8Ic/tGnTZvv27T/72c+S1Wq/o4qKiu655578/Pz27dvPnj17x44dH3300U9/+tO0tLTFixc/9thjldZfvnz5mDFjRo0atXXr1vz8/LVr1yYTUA8//LCDoycGMcpJ4XiYiavlSI7GozBNxkli1KhRqRok+VLRggUL5s2b17BhwwULFtx7771t27bNycl54IEH5syZE0J4+eWX33nnnaM0znbt2oUQdu7cWbeb7969e/z48Y899ti5557brl27IUOGLFmyJD09fe3atS+++GLt72fy5Mnbtm3r1q3bG2+8ceWVVzZv3rx79+4vvvjipZdeWlhY+Mc//jFZbcWKFbt3727RosUf/vCH3r17N2nSpFWrVrfffvuPf/zjEMKyZcsOdfzTpk1bt25dVlbW3//+91tvvbVVq1Zdu3Z9+OGHp0+fHkJ48sknP/nkk4rrr1279s4773zqqaeS0u3cufPMmTNDCJ999lnydEd9J0Y58R0/M3G1GckxexSmyTjJJf96hw0bVulqUNdff/0NN9wQQnj11VeP0qbbtGkTQrQTFFsAAA0QSURBVCg/E/RQtW7d+rvf/W7FJeecc863vvWtEMJvfvOb2t9PEn9jxoypeMWltLS0kSNHnnPOOeXng55++ul/+tOf5syZk5GRUfHmp512WgihsLDwUMefvEi+//77K504dPfdd3fu3LmwsPDll1+udJN/+7d/q/jl2WefnZWVFQ5jH3JcEaOc+I6fmbjajOTYPArTZJyQxo0bt6YGv//97yutvGbNmhDC1VdfXfV++vXrF0JYunTpURrnjh07Qgh1vmbttddeW6kLQwgDBw4MIVSaijmI4uLiDRs2JPdW6Vv33Xdfbm7u5Mn//AiEdu3aDRo0qH///uUr7NmzZ968eRMmTKjT8MPHH39c7XbT0tKuvPLKUOVRNGnS5Nxzz624JJVKNW7cuG5b5zjkovfUP6NGjRo1alQtV644E1d+/OOBBx7o0aPHDTfckMzE9enT5+B3Ujft2rXbtGlT+Uzc4YzkiD+KitNkycGJVq1aPfzww23bth06dOiTTz75ve99L4naxNq1awcPHvzUU08lXybTZF27dk2myTp06HBouwaOjjZt2px99tnVfuvTTz+ttCSJ0eQUyWp96XxFnSUHHbOzs790zWp17NixpoUbN24sLi4+5ZQv/+Oel5eXnGB65plnfunKZWVlb7311pw5c1auXLl69epNmzbV+VVoYWFhcq2P5IqklSQL169fX3Fh+/btfVjRic2RUU5wx89M3OGM5Ig/CtNkkJwenZOTc04NDvNcnZrs378/qbELLrigNiOsqtrWTBYWFxfX8j1M+/btCyE0aNAgOaHoIPbu3Ttw4MCrr7564sSJf/vb3zp06DBs2LCJEydOmTKlNhs6JMlgKn2yYG3amnrND5j6Z9y4cd/4xjeq/dayZcsqHec4+Ezcn//852M2E3c4Iznij+Lg02Qff/xxLafJqj27FOqFs88+e+nSpU8//fSNN954LLf74osvlpSUhBCqvqeqkpouHVrtu3aSX+r27dvXcv66U6dOIYTS0tKtW7eeddZZB1nz0UcfffXVV3Nycp555plrr722QYN/Hsaq2yv5jIyMM844Y+vWrXl5eZ07d6703eSYaE2HtzlRiVHqn3o6E3c4Izmyj8I0GYQvYnTZsmVVY3TlypVbtmw5++yzj3gVlZWVPfHEEyGE/v37V5ptr3pVjWovPh9CWLhwYdW5+OSqxrUfcEZGRrt27TZv3rxw4cJvfvObFb81Z86cb3zjGxdccMHbb78dQkjeVj9hwoTrr7++4mrl1346VJ06ddq6devrr79+zTXXVFxeUlLy1ltvHdKj4MQgRjnBlc/E1XS04JjNxB3OSI7lozBNxkli8ODBv//973/+85+PGDEi+Wj7xK5du6699todO3a88cYblaroMN+uV1pa+sMf/vCDDz4IIYwdO7Z8ebNmzUIIK1as2LdvX/nveHFx8eOPP17t/axfv/7ZZ58dMWJE+ZLc3NzkZJ677rqr9uO58847f/7zn48fP/72228v325ZWdn06dMLCgouvvjiZElSyZVm83fv3v3000+HGvbJwXfU17/+9UWLFk2ZMuW73/1u8pb8xMyZM9euXduoUaOqH0bFic0fGE5wx89M3OGM5Mg+CtNkEEK49dZb+/Xrt3jx4r59+06YMKFv374ZGRl/+9vfHnrooR07dlx44YUDBgyodJNly5ZdcsklZWVlXzpRkJ+fn7xXPYRQVlb2j3/8Y/ny5U8//XRyrbdhw4ZV/F3u3bt3CGH79u3Dhw//5S9/2aJFi48//vj+++9fs2ZNVlZWtSfDjBo1atu2bXfccUdGRsYbb7wxZsyYoqKizp07Jxd4qqWxY8dOmzZt5cqV11xzzfjx43v16vXpp59OnDhxzpw56enpw4YNS1br1avX1q1bH3nkkZYtW/bs2XP37t2LFi167LHHPvrooxDChx9+uGLFim7duiUXlavNjhoxYsQTTzyxYcOGyy67bPLkyf369fvss89eeumlf//3fw8hjB49un379rV/FJwAvIGJE1wSVdVelnnlypWvvfZanWeaDqLambjDGckRfxTJ6WKvv/56peWmyTh5pFKpZ599tl27dmvWrBk0aNBpp53WvHnz66+/fvny5R07dpw7d275yZEhhORl28iRIzMzM3/3u9996Z1Pmzat4xc6derUq1eve++9NynRkSNHJscUK9758OHDQwjPP/98dnZ2VlZWly5d/vrXv06fPj25PH4lw4cPb9Wq1aOPPtq9e/eOHTved999u3fvzszMnDVrVsOGDWu/B1q2bPncc881bNhwyZIlAwYMaN68eadOnSZPntygQYNJkyadf/75yWo//vGP09PTc3Nzr7rqquzs7E6dOg0ZMmTLli0vvfTSGWecUVhYeMEFF5RfbL82Oyo9PX3WrFmZmZl5eXm33HJLctH7Rx55pLS09IorrnjkkUdq/xA4MaRcI/BY6tu378qVK7t16xZ7IPXV8uXLi4uLzzrrrNatW1e7QkFBQW5ubgihZ8+eyZPy7t27P/7441NOOaVHjx4V55pLSkr+93//t7i4uGvXruXvMVq5cmVRUVG3bt2aNm168JHk5uYWFBScdtpp1f6p2Lx587Zt20IIXbp0ad68ebKw9iNJLuTZtGnT8n8qh/koPv/889WrV2dkZJS/GX/79u2bNm1KS0vr0aNHxb9en376aV5eXvJxTclxjqq3LbdixYoDBw5079696iUP4Rirw5NDoqSkZNu2bQUFBXv37g0hNGrU6NRTT23dunXFEg0hFBYW5uXl7d27Ny0trUOHDsmlJKqVPDlUWphKpRo2bJiZmdmqVatkUr6SsrKyHTt27Ny5c9++falUqmnTpm3btm3WrNmqVasKCwt79+6djGfDhg07d+5s165ddnZ2ctHfkpKSjIyMpk2bnnbaaRWPTVZ9Gqnpd3nfvn3bt28vKCjYt29fw4YNmzRpcvrpp1e8DH744kTzvXv3HjhwID09PSsr6/TTT2/YsGF+fn5eXl5aWlpOTk7yuKruqJq2W1RUlGy3sLAwLS2tSZMmzZs3b9WqVcWDqZ5/aik3N/f888+v+Bkr9Ytp+mNq0KBBNV2qg6OkRYsWzZo127NnT25ubrt27Zo1a5ZKpQoKCjZv3lxcXNykSZOq150uLCz80hhNlJSUlJ9bWVZWVlpaunfv3h07diR/ilq1alVeonUbydF7FK1bt962bVtRUVFubu5ZZ53VtGnTkpKSXbt2bdmyJYRQ6a8aHP++9DJJTZs2veiii6ouT0tLSz6f4uAyMjJqeRyhbocbUqlUmzZtkuvBVVQ1whINGzas9g2I5bKysio93szMzGr3QOPGjQ/+bvoQQkZGRtVTepKt9OzZs9KalfZATdtNT0+v9sV8bW4bQqi03ZNc9+7dv/rVr8YeRd05MgoAQDTOGQUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIjm/wf+Ia9+rLyLMQAAAABJRU5ErkJggg==)
This is different from the color code for us plotting the data. We are just try to make it coordinate with DGV notation. We could also plot out the data in DGV format by setting col='DGV'
in plotHMMscore
.
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)
We could also plot information in a single individual using function plotindi
. Example shows below:
### 2.5 code chunk number 3: plotindi
I <- 24 # ploting out the 24th individual
plotindi(ngs_plr,snp_lrr,
ngs_baf,snp_baf,
ngs_plr.pos,snp_lrr.pos,
ngs_baf.pos,snp_baf.pos,
icnv_res0,I)
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2.6 Single platform CNV detection using iCNV
At this step, we should already have PLR and variants BAF from sequencing OR normalized LRR and BAF from SNP array. Please make sure all the input are in list form.
NGS only CNV detection using iCNV. As we showed in the paper, we highly recommend using iCNV for WGS CNV detection.
### 2.6 code chunk number 1: NGS only iCNV_detection
str(ngs_plr) # List of n vector, each one is the PLR for an exon
str(ngs_plr.pos) # List of n matrix (p x 2), each one is the start and end location for an exon
str(ngs_baf) # List of n vector, each one is the variants BAF from .bam
str(ngs_baf.pos) # List of n vector, each one is the variants BAF position
projectname <- 'icnv.demo.ngs.'
icnv_res0_ngs <- iCNV_detection(ngs_plr=ngs_plr, ngs_baf = ngs_baf,
ngs_plr.pos = ngs_plr.pos,ngs_baf.pos = ngs_baf.pos,
projname=projectname,CN=0,mu=c(-3,0,2),cap=TRUE,visual = 2)
icnv.output <- output_list(icnv_res0_ngs,sampname_qc,CN=0)
head(icnv.output)
plotHMMscore(icnv_res0_ngs,title=projectname)
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SNP array only CNV detection using iCNV
### 2.6 code chunk number 2: array only iCNV_detection
str(snp_lrr) # List of n vector, each one is the normalized LRR for a SNP
str(snp_lrr.pos) # List of n vector, each one is a SNP position
str(snp_baf) # List of n vector, each one is the BAF for a SNP
str(snp_baf.pos) # List of n vector, each one is the SNP BAF position
projectname <- 'icnv.demo.snp'
icnv_res0_snp <- iCNV_detection(snp_lrr=snp_lrr, snp_baf = snp_baf,
snp_lrr.pos = snp_lrr.pos,snp_baf.pos = snp_baf.pos,
projname=projectname,CN=1,mu=c(-3,0,2),cap=TRUE,visual = 2)
icnv.output <- output_list(icnv_res0_snp,sampname_qc,CN=1)
head(icnv.output)
plotHMMscore(icnv_res0_snp,title=projectname)
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