If you look at the investments in Big Data companies in the last few years, one thing is obvious: This is a very dynamic and fast growing market. I am producing regular updates of this network map of Big Data investments with a Python program (actually an IPython Notebook).
But what insights can be gained by directly analyzing the Crunchbase investment data? Today I revved up my RStudio to take a closer look at the data beneath the nodes and links.
Load the data and required packages:
library(reshape)
library(plyr)
library(ggplot2)
data <- read.csv('crunchbase_monthly_export_201403_investments.csv', sep=';', stringsAsFactors=F)
inv <- data[,c("investor_name", "company_name", "company_category_code", "raised_amount_usd", "investor_category_code")]
inv$raised_amount_usd[is.na(inv$raised_amount_usd)] <- 1
In the next step, we are selecting only the 100 top VC firms for our analysis:
inv <- inv[inv$investor_category_code %in% c("finance", ""),]
top <- ddply(inv, .(investor_name), summarize, sum(raised_amount_usd))
names(top) <- c("investor_name", "usd")
top <- top[order(top$usd, decreasing=T),][1:100,]
invtop <- inv[inv$investor_name %in% top$investor_name[1:100],]
Right now, each investment from a VC firm to a Big Data company is one row. But to analyze the similarities between the VC companies in term of their investment in the various markets, we have to transform the data into a matrix. Fortunately, this is exactly, what Hadley Wickham’s reshape package can do for us:
inv.mat <- cast(invtop[,1:4], investor_name~company_category_code, sum)
inv.names <- inv.mat$investor_name
inv.mat <- inv.mat[,3:40] # drop the name column and the V1 column (unknown market)
These are the most important market segments in the Crunchbase (Top 100 VCs only):
inv.seg <- ddply(invtop, .(company_category_code), summarize, sum(raised_amount_usd))
names(inv.seg) <- c("Market", "USD")
inv.seg <- inv.seg[inv.seg$Market != "",]
inv.seg$Market <- as.factor(inv.seg$Market)
inv.seg$Market <- reorder(inv.seg$Market, inv.seg$USD)
ggplot(inv.seg, aes(Market, USD/1000000))+geom_bar(stat="identity")+coord_flip()+ylab("$1M USD")
![plot of chunk unnamed-chunk-4](data:image/png;base64,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)
What’s interesting now: Which branches are related to each other in terms of investments (e.g. VCs who invested in biotech also invested in cleantech and health …). This question can be answered by running the data through a K-means cluster analysis. In order to downplay the absolute differences between the categories, I am using the log values of the investments:
inv.market <- log(t(inv.mat))
inv.market[inv.market == -Inf] <- 0
fit <- kmeans(inv.market, 7, nstart=50)
pca <- prcomp(inv.market)
pca <- as.matrix(pca$x)
plot(pca[,2], pca[,1], type="n", xlab="Principal Component 1", ylab="Principal Component 2", main="Market Segments")
text(pca[,2], pca[,1], labels = names(inv.mat), cex=.7, col=fit$cluster)
![plot of chunk unnamed-chunk-5](data:image/png;base64,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)
My 7 cluster solution has identified the following clusters:
- Health
- Cleantech / Semiconductors
- Manufacturing
- News, Search and Messaging
- Social, Finance, Analytics, Advertising
- Automotive & Sports
- Entertainment
The same can of course be done for the investment firms. Here the question will be: Which clusters of investment strategies can be identified? The first variant has been calculated with the log values from above:
inv.log <- log(inv.mat)
inv.log[inv.log == -Inf] <- 0
inv.rel <- scale(inv.mat)
fit <- kmeans(inv.log, 6, nstart=15)
pca <- prcomp(inv.log)
pca <- as.matrix(pca$x)
plot(pca[,2], pca[,1], type="n", xlab="Principal Component 1", ylab="Principal Component 2", main="VC firms")
text(pca[,2], pca[,1], labels = inv.names, cex=.7, col=fit$cluster)
![plot of chunk unnamed-chunk-6](data:image/png;base64,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)
The second variant uses scaled values:
inv.rel <- scale(inv.mat)
fit <- kmeans(inv.rel, 6, nstart=15)
pca <- prcomp(inv.rel)
pca <- as.matrix(pca$x)
plot(pca[,2], pca[,1], type="n", xlab="Principal Component 1", ylab="Principal Component 2", main="VC firms")
text(pca[,2], pca[,1], labels = inv.names, cex=.7, col=fit$cluster)
![plot of chunk unnamed-chunk-7](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAIAAAApSmgoAAAABnRSTlMA/QD+AP2iVEMGAAAACXBIWXMAAAsSAAALEgHS3X78AAAgAElEQVR4nOzdf3hcV3kv+u+7dgoOxQEHp47hJDEZZmOJcU8FIXSscXrJCXSU7adWTk8nhvbGFDRic3oqMQ/oPH2uFbip5fv0VOVOZ7i0g0alddreOjppK+fJjiY/LhR7nKGQYooHyd3DTkJC4qQxJDhAEg57rfvH3ntmzw8ptmNJ1vj9PHrybO1Ze+018pN31qy91rvIlS4YY4x1L7HaDWCMMba8ONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONCzLuDk+zVNaOZc6NycqQlN6887/u8lU2ha8JPIOZ3qAZx8wi+TyDveJWZpuZvP2DLjQM+6QMRIxQEUDzViculQEUA8ZUTgBX2jGLqgktG1TgG8NJmpAGnLdWV5JJIsSNeVheQyt56x5caBnnWDyM5UHMDUbBC8S7NTANLjoxHAyU8UAcSztitdV7p2Ng4AUxP5pm69k+/XjCkAKBreV4Fwj9770pAwzYTf38+ZmtA0M+99mfCKOTnv1dB3i8ZXBP5ywFYNB3rWFfw+fdX2YrdjVwEMDyYBONZMBYhnD4xG/LKjB7JxpK3ySORsb1MpTlUAIJ4ydADAVCZT8V4qGkLTG794Mb1kRoNT3un+/CJjRowtIw70rDt4kb4yc68DwLl3pgKkdyUBwJ6v1MdwgsIjR93CQGsNI0ddaxjwhm6OLvIpMGy5Mvxq2pKuW/O+I3hjPlYa8D9yvM+beNaWrvdlYtFqGVtOHOhZl4iMjqeByozl+H349GBrKH/t4tmx5hF770tDRI8BwR2jvfF6m/QYgEpG56Ebtqo40LOukRwcBioz1pw1UwmFZL037n8A1Dn5/uYpOudFvDfa1qRC0NkHABQNkeCxG7byONCz7pHclQYqGSNTQTy1MxgjCbrVe4IplU5uT6aCorEiMTcyUg7GbaxhAJV5e/lvylgzDvSsiwwMpr2DpiH5ZMFKw5tSKTSt/sh0eHzZx8ubptx4U3qWY0CJsVfBgZ51k+TgMND66BUYKATPSH3xrO2uwPz4yEi5aegmnq3xrHy2CsiV7mq3gTHG2DLiHj1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uUuWe0GnDVNaKvdBMYYO/9c6S5TzWsv0GM5/xyMMbYqlrULy0M3jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGPNHBJCkHPG5edI5ILjnKhbtIacoLnX2sazwoGeMcaa3UtqWNG93i9EXtSeaz52aLForiwppZQ1RZNUj/s0B8yR6BdCCJEBGUQ5/1evthrU8r0hDvSMMdaEZhQKUDMEADmCJWVN0SEKH9MkqVoQzZcwKqWU0lJkAwBSUkops1CWUiA17r9Ek2RhyXpeGw70jDEWMkdUIRJEFaI50ILCABBRsqDCxwAoKkS0Q3QmQwghRJTUmPI7/kbHIK6gA7rfkx/lHj1jjK0MOkT+2Iul6BCpHoI3aNNPCB8DqiallF7QD/Mvl1JFQJNQUkrr1YN4bjl79GsyHz1jjC0Lh+i4kgUAwACUAZIKQghAWVINgOrHOkRUEICslPqi9akeEoIoDmwD6sV0RQYhGyo2powpBchlelu05jbx0IS25trMGGNLW9bIxkM3jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8bOjb+vnhB0jpnUw1uttqjvvGouWbdXQ/sWrEvUfFHiQM8YOyfevnpSSguUa9lDNdhb1SSaA3JEDuBQWzGvntCuqh6HxILyN+/o8UN5o0yOyAyXJ/K3YG2rhwU40DPGzslO5e2ZR7qSo2jaQzX4DEDbrkkdtlpt2VUVwL2kdqnGq6MtZYh6gk1cAUApbwvW9npYYEUCvZNPCE1r/TFLK3FvxtjyiCgppawpigpvnKS+hyot+LspNeK1j3BcIQJEQhukLrWrascySu0EIlDHlyjDmqxAoHfyt2ViluvK5h8LRn/eefXLGWMXIjIFzQERJWsKC017qKoewAaAoNNNsAEbBIVtBAdwGl39Druq7lQ0EbyeEyLXUoZgAw5oW3N7znh31ovQCuwZW5uvpAcH2k4PDKaN2RoQWf4WMMbOO1VQ3gaqgFJSKSe0h+qoRL8QBtSwArwtUgXFoVJKjSmvmKpJ2ISWXVW9jn5EyZQQggBgWMkCkAuV6VE0IajSqMHbglVlidp3Z2UAVmTPWCffr8+Pu4WWWD9nahO99tGRsw30vGcsY2vGHBGUau/nvRY5op1KdV0PcVkj2wr06CMjRy1TaFrr+bQlzzrKM8YYO1sr0KM/z7hHzxjrPmu9R3+ONNH2HYAxxtjZu3AD/WIfbvwBwBhjZ4UXTDHGWJdbgUBfMjusluI1U4wxtkJW5mGsk+/XZ1J2efQ8zLLhh7GMse6zrJFtxWbdlEwx0Vsrv/YJlRzoGWPdpzsC/XnDgZ4x1n2WNbLxw1jGGOtyHOgZY6zLcaBnjLEux4GeMca6HAd6xhjrchzoGWOsy3GgZ4yxLseBnjHGuhwHesYY63Ic6BljrMtxoGeMsS7HgZ4xxrocB3rGGOtyHOgZY6zLrc1A/4KZeMZ51VLOMwntmKYd07THltzJ6gVTO6YlFhKtdYbv8nLeDL1aekzTjmnmC53udSyRf/nM3wljjC27NRjoZ+FFXOcZM7EQBNwXzNYg+3J+z0vjbp/r9rn2pROJZ5x6LDZfgPOMmX/ZC99587EiEE9tiHlXJdrqSRzTtMdmQi0ozb6ctXuy1eebPj/Sb3fdPtd9e2z+ZSf/WN4BSs/knXCFL5iJhYR2zCy1t5YxxpbNGgz0gwh2qarGNrvu29PVl53S89Vsj+v2HTCCUs4LM7ENSe84cmW5fGUkcmXZ7fPLh6ozCm9Pp99eHlkHAKWTM6ke1+1JzZz0g7h/ZnOs2rgkObZhRl+YH397Mtyu4mPet4ciEDEuRQ2l2Zf0WkuFGw64fQW0tZYxxpbPGgz0DbHedcC63hiQ3JyaWdC0Y/rkEn1kv29eXLLOSmZB0xYyFf/Xmv1yTA/u4nvB3IPx7Lqq/ULTeI7fo+/JVp8vRdbBfsHu3ZBsqxA4w9Yyxth5sgYD/ac6nPP73X0WguGUyJtT1ZP5YJAnkXjGKZ2cH+9z3benAQDV+ZeBl+errTXFsz3eCIzXW4/q66p2c8nS89XUm5MjPePzj830vrnDHrixS6N4s46T81jXXmHn1jLG2PJZg4F+B9qfwwZ9ZAPBcA3WjRzYMKMf07Rjmv7SePnKSPTSqnFM005W8VItsi5WfEzTTlZjnevR6o9h/TOhkvV7Fd8cm38sX2+MP3SzMD94ZQSIYl2vsa5DhZ1byxhjy4Y3B18mTv6Z2siVHMcZY2dkWSPbJctU70Wu9Jg+v+HC/zRijF0UuEfPGGOrb1kj2xoco2eMMXY2ONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONCz84s0Iic4Ns/gAoeEFvwkqPWlM6khfPeWGhYvJvJnV/Oitzj7RjK20jjQs/MsDtrTFAopQUIjkQfyRA6QJyoFx560kq6SrpJlBYf88iZoEigSlUI1BLVRnsj0izVOloI7aq3lm8K6QxSDmqEOhRe5MHwvrwb/k2mxRmptN2VsFXGgZ+dZTMkUGjGuRJRS0lVqhkgHWSAANmgeiARlikHc9KJkTElXqSqpMSCtFEI1AACkq5QBqsIr1jiZDO6YVdJV0mi+e72FFtSgQgzktBXueKFDBBW+FyL+J1PnRobrYexCwIGenX8jXnwMfs2Q0IgqQFKpeS9UEgBVL1/v0Y8AgOoFAMRCFdZrCFEp5Rdzms4jqdQMCY3EZOdrKQMyiIqgyebC4WMbSg+aUYMaBABVVvU2+98hwvcNv81wAxhbdRzo2XJQB0B7gjiYDfq/wYuYB3rVohe3a60BAGgeAFANfTPw1DvjIGq/tkQUfK6oIlG4cPhYB9lB/VHQLACQGXx6lQjjre1p3KilAYytOg70bFlElEwBCHVv688w9dB/PcXG81hqrkQVidBWAwBAVUloRCnV+okR3JGgVNvdaQJqLCiZBtChcNNxSqmIUgjOex8qUZDht5baGxmu5zX+GRk7L8iV7mq34exoQltzbWbnnUNkKTWy2s1g7HxZ1sjGPXrGGOty3KNnjLHVxz16xhhj544DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jjHU5DvSMMdblONAzxliX40DPGGNdjgM9Y4x1OQ70jDHW5TjQM8ZYl+NAzxhjXY4DPWOMdTkO9Iwx1uU40DPGWJfjQM8YY12OAz1jqyQnfCa1vjRHIhccO0S51tfPAJFfO7XVHm4DkXMOlbM1hgM9Y6thjsSCkp4eojnA8SNzI/J6Z24jAMgRmUIIQTkSQohc43OC5oAcif7g2JMjWFJKKS1QS+HgM8AvPBkcz7U1gHWL5kDv5BNC04SmiUS+8Y9dMoVZWumGMdbVbKgx5R+PSjUAmiRVk7KmaNLvgvtnxhUBAFGPlJaiBUip1AJh1IvjimwApMbrxwCAnYoMIYQgXclRNBX2PgNqig5Ro1obdIhUTUopVWtb2ZoXDvRO/rZMzHJd6bryAG7TEjn+ZGdseVG/EEKIHOG4QgSIIIizwRndO6PUTgBAT/C61983vE8FBb1eEgAQUVJKWVMUFSLXVJgWFAaAiJIF5VerQwFqTFFUCCEanxasW4QDfW2+kh4c8I4jI0fd8QVd4648Y8tBh9dzV0elrCkFhW0EB3AQDKkHZ2x0HGSnSSgppdW5/02moDkgomRNYYHChVUPwRvA6W8avve/QEiFQ0uN6rO16JLQcbQ3XpydKyT9WI9kwbVzCa0fccQGV6NxjHWtASVtIYTfH1cSylEiKghQNQmbAKgxJaKC4lCpDtFc9ZAQRHFgG9DT9mpBkRDCr1ypnGgULigIIQBlSWU3Yr1/O0BZcrneNVsl5Eo39GvJFEY1a5dHI/VTTi6hZ2KWLCRXvnWdaEJrbjNjjK15yxrZaM0FTQ70bDmRCVUI/e6QmFSy0FwmQaocGirX/UPlqiUeZFKC1AG8Sm3sorWskY2nVzLWyiFKkNBImKBJoEhUgn8m31qW9kC5SrpK2qAEwSGh+dfCITKDY6+wV1s+VIaxFcCBnrF2FFPSVapKagxIKwWilJKuUjPNy48coljQi48oWVaIKOn61wKgKrxjfyzeq22kqQxjy44DPWPtVC8AIBY6lSGhEVVe/Vqv7+9Hdu8xagxwFi3D2LJrD/Tty6N4wRRjyAbd8PDJiFLVIImAQyJBKBHGG8VoHgBQBSKhq5rLMLbswoG+ZApNE0YRRcNfH+v9GMV4b3TVWsjYaoooVSSCUjMkNBKJ1l64OgDSSWgkdKiyQhRk+L11AlSVhEaUagzvqCKR3VSGsWXXPuumZIrZwQtmMmU7nnXD1gqHyFJqZLWbwdaEZY1sl7SdSRbkBRvkGWOMnbVOD2PnTK1p6EbTeIyesbMX4e48uzB0HLoxYLmFgc4XrDoeumGMdZ+VXzBVT23GGGNszWsP9MnB4eIEJyhmjLFu0WEe/ewUKhmdx+gZY6w7cFIzxhhbfZzUjDHG2LnrGOidfL+mCU3rzzsomU37xzLGGFtj2gO9k+/XZ1K2W8vGASBZsGKZ2zjUM8bYWtUe6GvzlfR4aIcpDAymK/O1FWwTY4yx86g90Ed7403TK53cBCc1Y4yxtavjrBsn369n6om341n76EikrdBq4Vk3jLHuw3vGNuFAzxjrPjy9kjHG2Lnj7JWMMdblOHslY4ytPs5eyRhj7Nxx9krGGOtyK5C9smQ2Lvf2H6/nV2CMMbbsOvToC9J1W3/Oy17h3rbjQZ13Yg8/4mWMseW3gtMrHbsaXmEb0WNTs0tE+raZP/7PCrSUMca6yZLZK8/bGEvREIk8jBRCOXNa4n6btm8V/s9rbQtjjF1kFs9eGQRWOzWjv6ZY740FHcBteqZSNLzhmjlTi86PX0iZFRhjrFt1nEc/O9g0KN9+ZjXxPHrGzl0uIfw8VnFVK6sz6WrlTNpZOKOSATJNFArqnBp40VrhefScvZKxbqYsV0pXWjHYgJMXQhMiQQ6QM0W/JoRGcwBKJOrHwGTCP86ZZCaESFDOFEITOQe5hKiXnDNFf0IIE/CO86v5PllIe6CPjBy1UzON6ZX6TOqCyl7JGHstyNCE0IRRBECTM6rmylqKJktAVY270kqT7SA3AcuVtSwdKgFV6jngn/ePY7QwKKWlFmoYLUsZXAUgdUDKAlClCaijI6v8Vlmg48PYyMjR0PNPjvKMdRG/R+8H8QpFNRHNAABi0AG9VwG0EMMAEBmRhSQQUzsj3nn/GEBP8CXf+05gFJtvUkEF7MLB2SsZu0ipnigQVzVXytalMqqnCm8Apz9PS1ZCk/NKutJKN59Oq+Ei8QL7C8YZTK/kZU2MdRF/6CY6j9GIGktRVPNH28NGx2FoQhgYH1n6marqqZLQxEQVC837jY5lMWOd98azc9M+68afXlkOto11cgl9Ydy9UCbd8KwbxlgXWuEdpnh6JWOMrbSV3kqwpQvPPXrGGFtuK9+jb32CHkhbF0C/ngM9Y6z78ObgTTjQM8a6z4rvMMV7xjLGWBe5pO1MyTSq2ZrLq6QYY6w7dJxHH9M5yjPGWLfosMPUWLbKe8YyxljX6JwC4bzuGcsYW/uCLJVnFAzmzNaltiFkmk1pFeo1e0k0F7m7n0eTnZMOm4NPZpCtLceesYyxtWnOFAvjUrpSurJnIpyRmBqJjh0y8wAoF2QnDudAbsl73JzEOMizlqLJUqe8x5rIVMgwKZxIOVx5vTFz5qt8YFyseIyewSGh+T+tCaxKRM39NzLPvvKzuiRcPtQwsVhq87Otn50LG2os6OyNltUAgCAjcSPRcU31gFDCgu4VbMqB3JL3eIkkxh3yHrsyG1dWQYUSKTcnWA4ac6iqaq6UB3jPkxY8Rs9Ih3KVdJW0QGYovAYBlDRq6iE5RAmvAFGCvDPecT0iUxCdaRIoEuWJTO8MkUYiQQAa5RsVBuXrny5pJV0lXaVmiJob5l+iB/Un2l7KN46p1GgSO2cO9bdnQAslOtaBORu7vI+EGo7HEAEielve49YkxkGetRk1llwk77GnkUi5OcGyL8jRppN9Ht91N+g4dFPhMfqLR4koq/wOUFKpKlEkiK1VAkATBEu1bCRHMa8AEAM5gAUFUCqIyCWirJKukgbUGJBWygBVIV2lMoCrVAxUokb5RoXkl+84VNjcMADSVdIO6g9qQHPNXjGFRpPY2dNBkyUgoo66spZt7i+HEh0P6JiYh9+hj2JbFQ7g2NSc97g9ibE/dCPLKrJY3uN2HRIs+918aeEQR6wmHXr0BdkyQM9j9Bcbvxfs/dJpAwnVCwCIQQ0CNdA8MAhkSGhEFSCp1AwJjcRk6JKUAoA4GlGiXj5UYatiMKaUUqqlYYs0qaVmX6cmsTM2UJA9E/4j0+g8Rhuf+82JjqPY1lvvFPgvef30UN5jYKkkxp3zHusxMpoe4XZMsBycNIJvFczHKRAYaQRXKQAlErNKDhJBqSQoQWocNAuqQpb9+Ewm1BiRpdQIyCQ1BjEJVYUah7CV9IZdS+Qdk0kYA00qWb8kQaqsyCQMgurlnZYKlSo2orlygy8cpVDDysr7LxwS4fpNUoOhlgCUIFTQqC0NVKHKoU5pcPcz/XOZUIUz/uN6zTvz8v4tSBUUaa1/hPYzaP4XWXUO5WpqlIPsuVjxFAgtG4/053nAvqspOxi/NqAKQBRk+B1nAjCoFLDoLIaIUlVQSjW6zAmqHxOUiihVJGrvvIXLt1RYJEoqf1gm6T/+pQQJI2hYBcIEXgaZwRi9BcqR0IiqQFLhMyQ0Eu8Kak4r6SoVBwAKvlE0DdnPv8r4fiuHyCtghh42dHpcUX/kEL5dx4cTDXnCmKo3u/HsJHym/uFX/6OBVn+mCZk6dI7yF6L2QO9vPFIft7FTMzrH+q4WaQ4f9V/LSiWVSkKVG2P0qgBE/M6jKigAqux3n1XZv6pxXAC8vudIcIn3akGpcPmWCl2lrgoaZimF0Ii82ximV3cF4/5xQAdG/fYToGKQrpLf8Vvijf9QBcgGnetS05C9X89i4/tnELqk9+Ch7XEFvEcO4ScEizycqFdF82h5IoJk8EcIBrI6PFI2gFXfz0kVXH9CDrvAtAf62nwlPR4ag4uMjqcr87W2coythvAwvT/uHwPsTuPydfWOcH1wo3nIvlEPlqxnSZ0fV7TfzobynlbGgM4PJxafG9j+RuoiCvNn3WZ2sWgP9NHeeDE8vdLJTRTjvdG2coytgBJROPCVCOONgQvyQlsV0IFspzGNJar1utVoe7S7WD3ekgLHL9+4dV0UNEuoQrVXEr6dDn/uX/jaV21te/Rvbg9jS2kP9JGRo3ZqpjG9Up9J2Uc5lyVbUfUxCqP5yWfz8wNVDSbkLDbiv5jwU4RO5zvUk1QwSOhQg/6DBKERhXviHR9XeI8cELpd/dapxT6Tglsv9kdobw8Ah9B7Rm+dXYx41g1bq85ytsyakScyWhcuLNdV7MKx8rNuGGOrZkRhcrHvJeHcXqHEYY43wQlAzmxMvnkticCcfLCgyaH++gR2b7nTGbTtVXEis5XVGuhLpqY1lsGWTKGZ/LdmF6RIN3bnAQSzj85QiYQWpf5RMwiLkwkhNJorkZcILJznK2eSmeiQFKz9+LaZoP6ISnmLWoG5WUoZTYUbWcaC23mfNN7nRIfEZ6E3yYnMVlBToHdyCeN41m4sg00WpAVDS3DqG8YuTF6yMHkAx705PlXqOSCtNNlRlY0rqyXPV5V6DniZxcJJwTocj8caXyp2puhQCQAdqqqdkeZsYvUsY/7tWj+hWhOfLZKZgBOZLbNwoC9NZpC9s+W5a7JQy2LG4kjP2AXITxaGiErFAQAxtTMSpP0CWvN8xdTOCCK6Om43JwWrH9t+JrJQDYiMKMwSSsC4iqD5wnCWsSV0SEDGicxWUsvQTacExRE9xvPoGbsgBcnCQAudp/435/mqwgYcm7bpzUnB6scjfiYye74pscwuwJwNEsh0yCYWUoXdennHSziR2UoKB/pob7w42z4iPzfL8+gZu0D4HeH6gzQ/WZhGx+OtRfUYGSaa8nzFaMLvRIeTgqnr0Tj2zk9UFUKPZAcGMQUMAE3ZxL5MuSNBQD9MXwQZJukxMoLLA+qKk+0JyMI4kdlya55e6eQT0ZlUrdwYvnHyiWgmZrmFC2ZlM0+vZKwdmQmMlV9lfmXOpJ2FDmXmTEJB2aaYKaICZblKz4toBvG4Sh1QOy0RzQBxVStj0kRhECaU16fOJUgvqwFgzhT2mAyVVPfWa7NgGIS0ygI7Cwp5utdQ+qSYqKISU7Veql9im8Io+scX30TRFZxeGRkpy/H5aCijWXR+XF5AUZ4x1sSfc6KRP4D+WrQ99hyPUfNGUWqsF/2zqO82dV6f0xI/Vl02r5qPnjPRM3bhqc9DN6pLjpg3G+3UnW+oP/ashR7Jfg+H6o9AH6HbToUzzjc9p703gSfO+DntoXuQ0YXQaKpxSetjVZ5Hf/7wginG1iT/YaYVg902wbzjcfP8dzITQiQoZwqhiUOncTIvMkWKJuh7wMKd9OhBEibZ84RrcO16TLtSunLX92nbd3F6pqmew0USBr0NlKlQaRP2plXNlWM2HT6Nr5oilaPM7XTqJBmayBykr4ae0w7bUrpq9xbstmQ2jilDRDOYdqWVpI++i+fRn18c6Blbk/ynskYRzaMr4QGQpuPmcRXqOSCtGC0MSmmpJ39Efz+j9qbVQymaXgCAoRGgSBNVBah9N2FIE0IT+4/g9K/ispexO9sYn/mcpbAVl0VVNq6m/wD7ixTVxF+d8lt582+r7D588yUgraZjGGp7TjvUh4OGyFSQteV0HEOaMErYdQ/Poz+/ONAztiYFK0uzdKgUnmAeHgBpHgxpGldROyMA0BMFgKt+X11Vof1FuimDy3apXZdh4x4pXXm0rEYjuPFuNZxW0lKxz8n/dwQ4hoOZ0PhMUtU+7gfZzSMym1Y1V35kI27YpzYDG/eo0QiuehYo0lAFw5ZfZ8+1mNKF0MRNz6iaK2tZZHQxVEHWllYaPeE3yvPozwMO9IytbaonGp5gHp5X3jzHfOn570u9yvPo17pLQsclc5GlaUDa4qeyjF1IyNAIANJKjignJaIaAcjacsw/VpardLv9GFlbttWmxkI16G0vDwzCmEWhrWS4jDdt34qRoVE8rlKLVD7a4XGw6qkKoVE8jm016M0VZl+lkSr0fs/oD3dR4jTFjDG2+jhNMWOMsXPXIdA7uURjwZT/Y/LoF2OMrVHtgb40mUG25rpWGsOWK2Sfu+wAACAASURBVF07G8fwIA/QM8bYGtVx6CamR4CBwfTUbAmIjI57B4wxxtai9kAf7Y1XbSd04Nhnvl09Y4yxC80lbWciI3emElFTl4WR8ZgW1TJAPGvz0A1jjK1RPL2SMcZWH0+vZIwxdu46Bnon3x+aW8lTKxljbC1rD/ROvl+fSdn1lPR2zwTHesYYW7vax+hLppgdbMps035mNfEYPWOs+6zwGH1yLFs1Ql14JzdR5AVTjF2wgt0EhdCEMKljmfo234vV0PJqY3cnh/rrdZaoP79oJbwh1AWs48rYCqaM+hi93viVR3AYuxAFKX9daQEtOzF5x7fNAPWNpdp2a/I09nIqkbe7EwBEVKoKL4LPzVLKaNmpqvWSnOndlHJOYxOoxTbAYiulfR59siDdwiq0hDF2joKUxQDSSoLMGVVzFfJisgTMqJqrbFPYUN7GUjWrcR55MVlSu7xrq2rcVTCFHZXZOPRgO++dKZosqYEkHaqqMX8HcP/CnrZL7OavFKkD8miEzESoPVVVc1XEAQf6FcTTKxlb87wevRqGsgrNOzHZoW2+4W8sFdHV8Vn/fEQP7cC3yHbe4R3AI2jZqWqpHcAbFt8BnK2IcKAvmcIsoWS2pq7kQRvG1gBVsOCPt9R3YhrBtiqc+pZPVdiAY9O2Qf+8Y3ce02+p+fztMMUbQq2K8NBNsiCTAJI8dMPYmpRU2QlhluRY24ZT/pZPMZrQqBJXtbKCt+FUXNXKsGdba/J2d5LB6M153GGKN4RaDZwCgbGLRs6knQXVYS8/tvpWPAXCnKkJzZwD/E1IEnl+bMIYY2tWxwVTE7218kj9Y9/JJ6Lz47xgijHGls0K9+ijvfHKfPiBuD1fifdGl+n+jLFzM2eK+vKlOfO1LlZa7hVSuUSwpGvxGfS85GrZtAf6yMhRC0Zoyo0B6+gID+sxduGZaVrR2rIuqT8hREKY+SB2O2TmW8v4x8u5Qirgr+qqpWiyVI/7NFdvqiaCCoNbdHxHJvGSq7PXcR59shBkNHOlu9gsKsbY6lLjB9TMnnq882cuepEUQOqAlGWFGXJqAODUAD1chg5VVc2V8oBCUmXjwRx8YGeKDpUA0KGq2hlprraqxl1ppcmONl1SlzogZQEtLWk3WpbSq8cJrnKlX2H9Fk6nd1RAo9nsTPGCKcbWroi6M0W3eaMrTqc1UFC7YrjXRqoX99roiZ7R2qXIiDo9IcS76PQiK6RefwqHv7dkw8KX+MjQhNBEdEaNJf2uulHscOnC83QyWIT1RId6Xn3JlZe6hweCQhaddcMLphhbAyIjMjUjJqpApPMaKL0XM/PQgZl57Iyc4dolddmj2ApcFgWA45vQBwBqVxKnqhTVxNgxAFh4lD6VEJl76Kt5Ec1Q5lY6CZw6IIRGU+vxkCutNKYMf4xl4VEAgDeFPy+iGSCuptM4fLv4VBEZfZGgvAnTrqxlMWUI4x6cAuZMkfgMkFa1YTK8ARyHWoanAMDyR5bMIN3bxR3DOiQ1M41i2goP3fDoDWPn2xIPJ72u6Jl2SB2auRqoAFBj2ygadJnrIjoqwICOyj2w691hTZhOcGxgV9Jb7uR/Qsx9WDzwTpzYoo5bANSNl+IYANCffpm+8igecuU7f4BngbdtwInL1dYNGMqgL672vpM+fQRfuU/VXPnQTbhJE0YRe21vjIUePIVRf7yFJmfU3jhQob1H8My/qg+lMXwr2U6jDUOaiGYoo1PpWe8Ye205fS2+chgAhkaAIkWnMOqN6tTQPDwFADD8kaWCK6Wt4vGmv8nFpz2pGYD04MBKt4Oxi42yXDUAzJlkA/cmRKYCQFkWMhWCl6TMRK2XvM5vraxsU0xUUQGGU7IwQnavGgUQUaknoHtVKWRtudMKlrxGkDPFTBGAmhsEniXDRBaq5qqvJsTXgckvYj3wIuhknoaKAEhUMR2jobu8FlKlRGJGxV/CtCsfS4gv/z5VnsUrJTr4IjBNe3cgO6awhx4A5ip0rILt0+rqIfIWwe62ZGRC7NfFfuAOSz3mIqeJHDDtqtMVmgr+ChVgXy9uygA21R6REpgzgQ3YVVYDwJcS4u6PqRN7ab8uAAyM45Ej+NtL/WtzJm15Eocy9CwAW914iqIG0Ifrr8PC7eKBKh43YYGMIhC/yAf0O+SjHxwuTiyRupoxdj74Y9beOHXj4aT3kNN/Mtn6VDN1QMqy7AGhhAXdr+jcn50+jw/Z0krjS3eq3XH1UBbDH8NDVdwADD8o98bVHWkMfwwnnwUAnMSVn1cDm/BwVA1vwvC++pNbPLZV1Vw1HFcHfhffWo+HXFnL4jLQV6qYdqWVxP0nsX09pl2ZTeKhErAFe21ppfEH98jsDkzPqIeyau/Nizy53YwPXqtqrpyO40cnAaDvj6V01fb1mC6oUyfwbktOx/HA1/Avx9CXVg/dRnc/CQB971BWARMH698qLmbtPfrS7BQq0LWm5x9pi0dvGDuv/B69kxeTJaXb/iPH7FhzqYrfQR62Gud0YM7GrhH/18iIgjfqMq4ioKZLYtAB9KrOzy034ApA7wWKdBA4WAGA/+sWHAQOf4CSadw3qMQsbtkEANiM3mvU+7fTTbrYsh4fDOqIjKhfmaGoBgA9jvqVF3GTJgDEp9WNMRrSBIDhvLriLf7xtKW29NFNugBwSwo3AKjQTRU0v8cg8fImTCfVlmk/Vc7eA8Cf+H+993sVbsJDSVxzCEM/wgcfR6lINwHJJABcoZORQN+L8L5VbM3K+RFcrDr06JvnVvIYPWPLS/VEaXJeSVda6bYXO6WKHNAxMQ89VMPZZpd86vnmk31qt3eVRXcuqOk0stM4fQRzSSULuOJZtRnYGFMfieCaG1TWlqMxtSuCgYIcjQBQ/3tMDaeV5crRCC4L7n70d7ExpmqurGVVD7Bxs/81ZTPwykZkbWmlccM1GC00LvEaPFBQPfWtVJ6WHwXNbPT/OBuB63bghmuAeoW/oa4B0KOy+xpv/D5L7roMPfukLKv3+u9L3aC3/iUuJjy9krHVEUw3nMdoRPVUSWhiooqFmv9M0ksGWX922jSaGsW23qbcZAODmAIGAIQet7YMwDaq1cTfNQV69f6b6WDFezCrPv1xGioiM4S9n4OhCaHR8Xhr08NPbs/h7hPVpgmgi11SLxD+4yzWhkXqaXrgfBEL57rxNgEfnO0wu/UCGrrhXDfsoudQrqZGV+j/SDITGCtzzsvltmK5bpIFWUjy0A1jr9HSmWe8eZOLLerJJWgOjvnWR70lLJ1mf5OpQ096NxLiXUEH9sviTZrwawty1MyZiXr3ds78+W9epwlth9DuN+rV+pltnFzCnGvObLPvXX6Wgimvs/9m8aXgmlzCnGsc7xDa/UJbIs1tuDxbHW0x3UojbXWI9RfKT6c28w//XEg/VlparptNqzgUIC3XtdIKUIjLmiUBhbS00iqb9Y+zaVlz3VpW+me2Dg8kVdZ2a9lXvKseyu4BaoACTg+n92yBAhQgR+PfA15EX7bmutPxf1mnnUQ6u3eLV/K+/VmvmALkcFpdCwXI6WEFKFzy7Q/c+oO9cQCHgWO/kzwJKLz5xQ+8reZfEpfT6T23JF9YDwWcHB4+DSjgr3GJV+FJ3GrdsVWtX1+/hcL6FzbWj/EioLDpr/vi8Fu+9b7hrd5L9027bi0bB4B4tua6VjoejwNpy39EEc/WVvtfcDV+ljWydcxeWbV5diVjr1UoZ0vnrDJG25RHQ2XjLw7v6PnNqwDQ5Mwv1FxZS/3kv33xP+2NR6az2weSr3/ukdd9wZVWevvwrT95sPbG3fE39r1zZrKErz8/v+OXrxwYHH1u8zt2x9X++Hvzn1e7Nx3ZvRcDSXrukRffuemZgVvpL76h9sbV9OS2H/9ow0fKbi2b2N13+SM/vfyWvr9I9rzxLVdHdsfV/vgTfdfQ3U8Cz/7Cti3P3JFE9fpj7173sxusD2d/84cPubXd69+8fSgJ4KZ/qGXj/7B1PaZd+YnX/cKld6jkJuy1VXLjP33CltPX3rDuY66VvvqWvmHrO33Hn5qbdqV1612POaXJmVTNdWupmWDaqCsLOFTN1lxXHjBW41+ru7VPr6zNVyrFaPPsygtpjJ6xNaIxtVGF9s9TAB4xCcBTt4vnXlYtk0EOP/r618e8o6//TeWaKe0/Z6f/AScK+/FDVCq7h1955U29r8+Lm4oPAz/uxQ8PnnoDKtveexNhy5+9/U2/c/ijNPcsADqIjZuAg9iB/dg9rF550/9609PAm7CgY+MTeOp+nPwp/u/I0T9//MfAN7Ze+38A78GEetqgw8BBXI0Ktr75r068AOANDz8OlK7EuidgfOgw7sddUeDl7QCA745eecWbDp548T8PaQJ4g3GdTP3SS3v0NwA7oQO4Ov6x+naDL94Ye9+QJoBPDu97GpWMF2RCUyqTY6mJqJYB0pZb4EcC5xVvJcjY+TZnEgrq0LvE1An/zNat6tM7sHkQf32IDv4dRnery0FPnUblXhz/iVdCDTxPVx2Rz20XD/wUP/kphm31xPX0rff+4baFzzz4fQDe8lQUKuIHUNPZj39hvHDsJ2LjRujvU791E07P9y888vB3N73w3cOX/MmLb/j6W3/4wFvecvnj9M2fAsD2W9WGf3rpn155w09ewO74i09XL/3O63/+g1PrsBXbT+HhUwBe+B338a+uj218p/Z71/W/OFZe2PGt6v/W9/5/de58+eorxo8///H3POYC+Ol11lPY9Y5/0+nFeQDAphObfrD1F3+OR4Fp91v7fvGXv/eygPaj3i+uv/VPvv+Xl179+Es/337qkodPAZc8deCVzds/8e3brn9621/YY8HuRnNmwh4rj0ZKZsIeK49ESqaJwsXXsVzxrQQZY+fFtCtrWZW11a+coKEiGQYdnAJeRK4IAE9+A+57gE3qjjRwgr76LABcoeEnb3jmujf8bEoXpRd+9syDn3nwEgAfAX44pH307m/Ln+FvABrKTB37icCbnzh16mcPW+XMnXjqtP7tBTz7+CUv/PzHQ5qYevanj/+7H+UBPPwAAZf+h3VzwM8OVtYffuWSD/yndQBwYu7pq7YPvAe47OW/+fA/9Wvy2DEaKj6c0UXVCzqX4sr1l6xD397rAewD3vCIEf22Ui/+4n13bMW23heHr51556XwUpbd9eUrf/HnPwcAd/38kPjsic3rPymtHZf8EDmk/3Tvtjfu0UR0CttuSI6lZqKaJrREaCpkcPJinwq5HJp79E4+Ec1UAHjfni7IjDfco2drg9ev9/4ncvI0+TXs2oeJSRwdRO8EPldWh94lrrhHPTeJQkEByCVILyvbpG29NL2g3vdpPLCD3n1EOR+kg48DwPZpuWmvMJ6WSAjrY+rYXnzhafVwQuCA/IhF9xpqYYfAEVmI+BMikRe3L+DgFABkH5SnZugjBRUpUb+txueFPSaxh/Sy0vPBolxb6pPCHvOWQSHnp98Btqrad4KUk83F6m3eWVDI070GFnQ/j82wJXfN+sUc/1p/MTDrZMV69E7+tkzMy1tZy1aNizutJ2Pn3SOTVCmSMOhEhR7xz6meR6hXE0ITMxX/1DUjCscJh4E+bAS+9Xioig3YAmy5ErgGm39KJ4HnQkufrr8WDxwA0EgH/60nVC0LAJkP0HNV2IBj07amxwKLL8qFstz7hjFsfUdFlirWrMO63CXyIbOVEQ70tflKkLcyYqR47g1j5wlNZvC2y+hrRX9l/x1b8bUS3gZ85TBGJ5Q3kn+yr15e3QT8zwfxq1cBwOXrASAeR2xzuE5141swpIkHnsJzgD1PADbH0HefEBpNAbstKV358R9RNIO+OIbvQPVNNNGcxNhbfNtx3WkgWfC/2fPy1DWtfWWs90Hs5Pv1+fELcfSGh27Y2jBnNtaYD1tyzBa3QR718mqVSMxCFlRjeCSthquhBahBAaA+7oGsLTFZHyRR+qQwoLw0vPG4Sh1Q9RGV8CU7LX/YZDiNsQIvcL1gLWtk40DP2Kqqfx4ML/Mc5pxJO88m0Ld8UNUH3DvUnCC97A++h69CWsm2TWWX4OTpXkPVb1H/FFz6LzNnNp43DLSd79jgC9JKzropGv7egXqmgqLBWwkytswGClIukWzy/Bk96+58kEIy1LY5U/QnhDBpzgy2xyr5m/a1X2UBc/C3h/U20sqZ5ABOnnIOcqbo14TQqF7mtpnGvZ28WBj36+mZ8NJF+CkZ5oCcSWbCPwYaGweGy7CQllw3i62gvfgmtTJWT0STS4j+PHlBamleBptWfj4ZAI0sNEvf8cLg59ds2ewwdUDKAjqv9Q1fpQkDGAC17J3SEFo57JUZjzWG+++dUfUB/dGyHI2E9mZxgCr1HJC1LPlPd4M1xk1lWAPPo2dsSXOmWBiXR0cUgMlEUw/Ui4CNvm1wSWu/MqJSVXjHc7OUMlo6uUHHNugah7u99R700ndE/eTZb4Tt3SjM+7x55AiGbSldKTukrgyer+o0mRCZChmNm3o9ejUMZRUUHByPIQLY96N6Eofvoa/W64hBB05WcfiwX0bvXWqcx/sL+ONCMbUzgoiujtuLl2ENHOgZW5ydF4eC51ZeLzLcA62laLIUymMTaO9Xnvtuf0EPeuk7AmgZaTnbAZPGh1PzUEy9npPA4dvFp4rI6DRX76cP0+Gk9PY+9AZYDt3j9eixy4LxLmHuoUqRvgSc/BHwdfrHZzFk0uQfUUYXmWIQ9K/BtiqcYO5Q/S82EXz1ySVEzmme33nWU0UvchzoGVsUzcyr40bQMY+pnRHovQo1vwca0VW4b1vvXLb3KyMjCrOEkrfbX2OeO+B3bJfuzKLpkg539FobGmk56wGT1k1r/c+bRj13PwnY6kNpDN9KtuO3ITqFD437kyy9AZZdv6GsoJ5bnkL1Y/KhWzCkiaFH8f5Pq+FNQJGOX6uythzeisf8D0K/tvCGJJERmZrxv6AsjMuWvVkQO4epohez9qRmjDGfGi+ogUESJjXNHon6PVDYBN3ra6tIicwSdgFBv1LNmSIUiNUukDmLXQUAQFzVgvGQ3GzbbauwAcwTjNBNG5eQOdG440Dj8Vlo3alD3kcR9NbPj4XnKWOi1qvsGo5fTbdp+Fi2aRLnLY/QFeugA9ftwGU1fPF56nHUqK6u1lXPLO0sSOTpv98qMscAAOvxNu95clC/3uvvWHvLI3TFbvXHv4vIZhW/QY3PCxvYeK2ynlZ6XkR1ApAFNsdwwzWI3Chl24auo2U5usivuVl1p+v/ASMFOQDAb4NqXJKUF96kwdXCgZ6xpSWVNSv680g1TgXZKOOqVlaw65kpgVkAqqcqhEbxOLbVgGB4e2AQxiwK4cu9qfEhXrfUipGhUTyuOtwRyNoylAtzkTZHwh9FquWTo6+Kr/YCUVzzz/i3OJ6ap2/dSZljANQdSfpsibBJvc0Uf3cPTpzGwPM4BfrwBF2WxMyT2Bm0x/tQ+fJ/Eb/9Cbx4PJgHaasnv4h4HJUK/vEY4WkA9I0ijgGPpPGzA2J/BUjQ7piy0vSpe5C5ne74V3y2KDKhTz62DDh7JWNdIZxaB/UeelzVyso2RX1R1cJviCs+rpwFvO/T6tQesb+CrXH18QMKe0Smgi19eOtL6td30GePYPg/omefXL9HDFWALej7gLoZ+EhBIU///U4MPaIGACcvbvsiKicAYCCJD+blwg4x9SzicdDzKraDHiji8biajtHXT+O4rT52HQ1VEX8elRPY0ocPTqgnPkrvOSL3AU4EF3eg5+yVjK2SObOxB55/XDJbF5c4+f76ccnsX2xDvbPbUc/JJYJVLGe2Rd9AoWm5UGSkMWHGm6p/tKxGI9i1AxsNXKYwCto4Lq20+lxZ7bT8LvnoXfK3NuC6grR2oGefHI1gcwxZW8oH1HsJ+4sU1UR0HjfUdzafUXd+TvXdAgBzJQC4/lqgT91Zlr+1AYD67bSqldWv9aqefWrbMRoqAhVs+5y00hi9SxaS6vN/gP16+/MGdn5xoGfsLDi5CXiJ/yxM+LMSI0aqOhvMnqymjIiTTwQB2smZiX5NE5o5V5rMVIqGmc+ZeQdw8mbOwZyZ6E9owiyFLqlL+xkGUzOTpXrcN+cQXKXpQYXBLYBwPfXK58yWDwy1C8hZ/sazZzJZZW4S1UN0h78Mig5DDceV5UpZVvYsXfq6xuVffxRxne51AKB6hA4UKarRVwEcpikAcTUcV7uSOFlFRhciIW6fUdNpZKc539my4kDP2FmI7ExVDU0TibxeKAfL6yM7U9VDJQClQ9XUzkjzPnnV2LjrWumqHR3LxtNWoXWfPG8XvZat9drvO1p2pVePE1zl2n6F9Vuc8RZ9A4PIzCP4BtA0oaUtTxlQo0O96sAQPqsJkSC9IG8Afbnid+qNIl761+Dyw3R4A7adREYXmQo9fALf36qm0/TYKRz+gprOAhWaqtAhh+5+FHttWUsB22ioiMxQI99ZMNGzw0KBDovR2BnhQM/Y2YiMlL1edjS0aUZkZByzJZRmMT4SAVDJRDXN39oh1qsDem/sVeoNX+Lzc5BEZ1JjSb+r3nkpUPgWHeoJNvTQJ21goCBHI0DSz0LjDfh4cyuPlmUhiYGClAXlF/PKJ1VhBJE/lNKVtRRFNYG7pO2q4VsxPKyGLfkv3/Ev3/XPdOIEpg7Dm9SfTavpHUCvAugfj9HQjKrZKr5F7QIdexb79WCCKYA+hCbE+wsCvLmh9SVj/oslElqHZWtsSRzoGVuc3lsNhhRKh4oASqZmzgGRkXItG56sndyFWXM26JbGszXXla7bOXVIdd4G7Plq08kOl/hDN7I8EkFpcn5cuu4ZpINvr8fv5r+2dPBkajQHREZk8MbVLuDw8XDmYTpU9CbRw5vUnynSEPBrwJfvU3vjajpFkzU8/zidrAGb8JClhi112XE1ncbem9vm+4ekDsj69NbcBCzXS36w+FoB1ooDPWOLi4yMw/AGxw1YhQEkCxb8jvb8eDiODwxiCt52Dh33yQMQ0WNFw6zpsaKhaRPVcB9/sUvqoj1VQ2ha81Igr0IrVGz5tuhTBQv+A9h55b3xgQ/gBBCa50PHs94DYWVZCmkVB6YLCqfopI594xjKYMogbMLXbTW0HTcZNGXQ8QoNFbF/f/hejSe9Y60NpoUYBoDIiCwkm9edsaXw9ErG2LlxyLRUoW2hU2Oip59VH/WtDSd1dfr36N8+oCZ6MTGPOwuYTISy8ANoTnqMULbhpnTEJeq3sW2m9dq1bFkjGy+YYoy9Zi2z+H1JlZ0QZqm+wgsADd+hjn0fAzqMeUSaF4KdSe740XEITXgrtnSc3bUXMe7RM9bdSsFWIOnW/TvmTO/pbtpyx+yE7j/BjWdr5ZFFwmbJNFFoqsTJBRcOW4s8k/DvlbDHDmDPpF4uDLSeL3OY5gVTjDHAyffXNwLStMUTETvePP3Gr80T//2J9m+N3P6XZjCHxxvo95/9WrF5G+Fp+/WlAJrQjKmicbOh1ReFOfk9C+PerhV2z0Qi57RcaJoJf4I/AFjBSoLQmoDO7/T8L0C7yHGgZ2xNiIwcdV1pZ4eztjeppmmNlb9e1wt885OJeqjdc2el6E38f30vMroW/cyVD7nu9LU/+AoK0/FNALA+Pl0w8Lw/m9MoHnnEsRZStnSt4fgjtgNUYx/LxpPJeNa2huN9J45tTRkRbzVW9I/edL3tNcPaWS7rk3qmAsSz0+nqoQ/rmWJx6uXsQ9nqX38iYRQrmTt/6ZZNm4bHRkbLdjaeHo4fNDTNuOfkqdDaLuD8L0BrWy92EeJAz9iaFF4b5Xfba9nqoRJQrfYcCJZWVWMTrmul43tv/OJNmZN7rWxfbGGmhM1vegNQuvvRa6dde+9bHr279L3DT229w3Xlg1/7RSx8Vv/kVCYqtJunKusWbr/m8NW/9NhM7L/8ujdP/9jjv/E5b6QldcDOXou7G80oHapmH8ruQeWTQ8WHp+5Sfcls7S7j8ftnLOvG6XR87833PYMNh60nb7/uK5lKcarylr22O33tD7582KvNtXBzzoG3AO3/MYQwv+0vQLsz2wc5fY4L0Ert68Ve1QW21ddrx4GesTWqsTaqthAbHAAiI+VCEoildkaC9VMx+mvNPNkb27j9433xdc9Bf+/zG04DJ3/0UzxlP77hTZuBjes2AN975g1brgNw4+Wf3NIz/OB3r9ryh1b2T++oT9t//r8OZaYyt7778KZjA8WJ2z8jjOLDmVvfse3GE4cf/chtCRG9/8PHPzVxxY1fvCnzV8DwHente/d++FjpnVF98viz/wuR7age3L//m5UX7/il+dJXTv3y1q0K+LP9+o6hyunKkDCK/2Mh9M4iI+N4/MfxI3hyfCQCnD72w2MoDWWo+qlopjJlaHSyN3n49mtylSlDu3IBb/mrhIhmpjI6PQLgMAnt5qnKO6Pa/dFM5fShm6cqn4xqnxf63016O80mKGcKoYmc8ypbfa3sP+ey4kDP2BrVWBsV7fHGOkpmf75lx42em5LFoUwxY2SOPXrDWNQun/jGQUMbevQt7/+QvuX5H51EZP2GE6XPP3blT0uGpglN3//4M8Dl/+Gl+41MZraKJ3+EZ7/xr//04xevvWV39o9/fOrZnzzzH96dP/DD6fT23XBu2v/4T589VakQSr///IfGn/vyf/3AphxQ/LMjz//931+7N70vjmLusUujL9IXq1b/J7bfcPW7D//PytMnN544QRvXbX3HHUes9PasLe/Yes1z3ws3O/mr+DFtgAKANz6x6fK96aTlHil/p5ZN/6mXUwH2Kx+MD9+Rfv1zjxzZXpZWevvwrfTUaf3wF2C59w33Xd6HpOXKy45/d3f8Tx/Kjg7fgeoR6jkgrRgtDEppqYXa2W31tZZxoGdsTQqvjYqMjsPQNGFgfCTaWvCqeN+WrcO2W/uD41E9M7/+vdOuPYzH9+tG6dlHlWAe2QAAIABJREFUhzRt6OTemrX9hrdtAgBs2bLp9cCGa375cgDHkPrNq14Xe+97ZX/0Q8fuynxgzymcfun//PyHvn/5UPHhg8fekbTc6fjrACC+9ze/b6dS//LgswBu3fUf9z55YmJ/8c4K0qM9P/vmMfsbL37r6NdSf/G5yO4UHn/LDx5y3cpt3//uZ3cYxYMZXXz2RGurr9uCh6/G1bMEZ8f7d2X2F0uGlrj9M9dkip8c8p4h62+8Plb8bPWHV+hFQ3vUKD48dReAa5/RMYDk2G1/fgwlQ9t3vPKOg5VP3pTB1GcR26F2RgCgp/5HOoetvtYkDvSMrSGRkUIw9dHLuiPd8mgESBak60q3MIDIaGEkAkRGCqORyGhhZDNw2+gO1BAZOZBNZ7O7Y5sRKTztpUi7Nmvb2dHtkdLswueettJpy/3CVlx6BZxvLUT3Wm4tNfP3TwJ49Eob39ycrbnlJN54ww1AXNVcaaWpZGhDlZ+hL1sr79kIXDPypen4aHx6X88Th2fc2u5N3/vAg4P2o2/ca48kN+3Ye9cIbLps15ey117/CoCeHcNWeTh9lXSllb76hmua3+lVV2b3/bKXZXP7n5etdNJyjz7377/gpcncuGf8hsvwawW3ltrUs08OpyPe+Z5946knMAdERv5yGEnLvX1bXNX8rXTHe9r/nsGrS0wM7Qoc6BnresYgZktwLAyOeLnDQinSIjrsObv3bbOaUSwamoG+zRtx8pnv//N+o54czb5h8MdzlU9GNXp2y/r6Fq9G8eSw7Vrpd2Tvasy7/7XUH175BW8kPXrw2sdv/pn92IbXbYT69Pab9utBVoPGjq9q6V1el8iyGdJ0fnTcS9VAx+No7K+rdcx8ueirHVJ4rm0rsmDKySea0+kB6LB848zwgil2ATrTdUMdeYuG9MmWpUNNq5NyCRH8P0Svepf66qTTsamnTm/v2VfWJ027t/f0/MxTp2O79g1+9Ddw8jvJOTNhv+/ozNdzULizMGKbJgoFmAl7bHxhjz1WHrk3QXpZhc6M/v5b//Y9Rz68L+LdxUShvvrJySUm9bJ3+QFMWjsLI8ib9xqDXlX2Si+MIrMtucKFba0vmHLyt2Vifh6+0I8FY/GlEIytJW3rhl59Qvcik7ud8C4iAOZMrT/vzJliYVzWstuHLZmNS8u1r/i97wtNiDd/Xmia0P5daEK89f4PJzShfVtowrjnf8x88CeZSvGzR35Y/f8qGf1Ro0iZP9Lf5t0kEt3+lJ8i7f67KfVbuObUzqgmjHvoJHDoCOX0m6cqM1FNy1QSxofp0BH88+3e3BX62itH/vZWIUxy8sIokpEgB5gzhdCimUfbk7Wh/iyh7fxymTO9dPaE8TUU5ZfbCuS6qc1X0oPt27EPDKaN2dDeya00oS1vuxg7T5x7Z2K7yt5xZLRcBjAHpA64RyMlM5GquWXkE5MlHdVszR2JOI4Db3K3d9ysGht3yzATtjOI6sREzDo6EsmZaizp3DsR21XGQFIB7zi0GTVHIj86qY888dG/fc+R9+GD7/ryx9y9J49+8wvyv935vd+7a9dwPP222OWXjcnYHlwfO/7YL33x7n+Z+PV8YQD/P3vvHtfGdeb/f84MIVhEGAqOTGJsGSFFYNFGjnMZLNNNalLhcWOzaYGmabxJkSwnW6g2ZdtfReIXMfTXDe1OoO2aSmxS3LSxabu2sxmjBJoLxlYuTtQsCpCRhbEdmyjGwTY1xl7PzPcPXRC+NcnGlyTzfs3LHs2cOXOEXnrm6DnP83lgeEyeZZBarcRhkZfPwx8HdEFRQstvmrxSfkbvClGCY2dUQewPsuDYsbxVWncbeY6VDU2/EWqlGh1xWOSguB4t0XiVoCjrQuJU3deI1Fl1aw2A6l7pLOGzi0dpqyS1XrrbfUa4BDN6fQHj2XJ29kHnFg9TcFaEwBRn/gKIbRdxpAoKnzIhoc9k0AE6g2laARDvFrfPqadpylAtALu2B3r2Rv8dGOvaGYpXEfFN83hOlj0ccSh70WeCDsBr1W7W4Q0PZQFZmT8Kvj50yCgcEUJI674uq+atoWf/+y/EaaDcPqrK44tJAYeaLbTeSdws7WgA6p5cZXDuHKT0dPSg00f9znt28In3kY7ol3jgEUtzKBTwOWLxKjFPt8HSFJq6xccqeKtwkbkEhl5XvSMm4Z24seB3nE86SUHhs4RueXmgIWrQQs2WBC14naEwIISAkBBIKAByrPHh/aUMFxRF3upvfOpcXQ5sdxpYN4ylnoZHHrU4PZR+AV94n2uSWWgGcbL3jW38/SMh7yN7q4qMuEmTOwq8JuzOukXe83KVz2lgPe8ER9/fFQ7vGqoENJpcqZFRAcTb7XMaDE4f7DxvZ7p7/o11b8G3GHspIzWaiwA7EASwkaX1znv+WEE7fRRL007PPdWOX+54m3UaaEdgNwDwTTvhhu0JjiFultY7V7eJEm9FoCf+Bs5d8Hadg6LoJRT9kQre3qSjqXvOLnir8Ek438T5it0+i2NWts/9JnBM9Btl50VJFHkbwwmiJIrByAmGC8b3YWuLt4aNF8V6o7qsK/KvYDdqXYLg0hrtAl/JGCvtRo3WFRRFl7YICAJ2wA5gYaUMyFA/AQCq3wLbkHRvAQBUAjJwkyr57i8bAfWqgiwAbcATQFZqtiozzVzJtdnT7YAMyEAQmrg1iB20ST+dup0MmCOnk7N/qEqVNSgCgpUaf6Sx1ixVmosAGVCjIOhibPW2vZm0HzaJt8lAEdIZlxD5m5iLsmK3Ylwuxma3BV2MrY2T7BVMWcU2DZ4AgpVaTbFdBoq0ZokTeHskL0wQgpf/U76o20W1bJ89o6kYemX7TGwcI/HRfcnGSMLZbYIcAzCcEH0qJPzL222xawW7xl8viaLE2+y8wNkiDwxb5CkiiSJvM2o0Vp6vYKxcN2czayNmWw0AGm1lhe1eo3rO9dNnd4y9Zs6DAICUEldFQerdAIAXATNgR0q0keX6ZyJdXZ9XWVJhZwGkLUxNDi+KPhj25JiD39GGABn4jzyzVJy+Ox0ysA057wAy8ATwBBiu0dxjWcMAQUBGyn8CewEZKU8VGCsKVJGHzTbWZSvKMqbHR5jOVRrVmjMeipHfQDaGYQAbH62qGEsP/uxvF9WyKXH0CgoXBbacxCQYESiXdSFioSiaolpCeMry/HUFFK3/gQ/wOXfT9z7qc872jpQFnHqafWxkFPr8OQ9TFE1RCwp4ZIwfeJLQN2XuOs+NMlbkDj/8SxTmCP/2M49/eCGwDciclW1cmXv4ryMAkH+XlTFX5kJVKnQVJeEmKzZ8aABk4ERXY0P/5IF6gbtZdTtwM7ASk9uQ8pA6Z/zAyUXAE8CxAyNXTwj7xhm7+VgwY861KjPjco1okjpPGPZ3v/fyGpfMzrnzoJ/0HNl9BLsL0s2lRdcUpv61Xvx+pSYTvh+4/KeDe+t4W569YmHRNdBrelyC1F16++HjJZL6wzW2J35q3nTkQyANuWaumwuWGe3Gby1PG1Pd7pLsFduf3FBYyXBB3lZZ2BGpDRuRLfsEUmVfZC77c+yKeu4pm7J9altQYuySKIm8XeaC0X8jBwVu3AgA24B6npfMRXeqy7rajBEn9BNJxpGusv0qAHhCtUhqMw8B2wAwbWJXWXQ2bbQLAmdjGADQ2NusMNZLgqvMWFGqAYCss77n08gC8J8AAHs6dmbHQ+9UACqju0nzI21UKk2uprKowpgOYI52DhO8WfNQZEDI2jQn6v+Rk9L3Fqe3lHQJLq2/tGLvDckvAEXA79YIYpvxlcwcAEGt2WycchnJxVYgZQiQgR7zGltRLvOgKzJ51xSYg5VGbWWF7HLZXC5jfOB2/iyfWLyE+md+u6iWTZnRKyhcHHRyHeAF2QI5EnXg1FO0nvgAIPVuF2Nrs9q4OiuQ8q3OI3++YzxjPi+JIn9NZgb2vr+nmBdF/p2vfGd39s3zASvP2zAeuuPPUemCjHxEBXvrjROH5vH8kveaeczKSLvtLhsv8ku12uKEdCpto8jbGHuFuSzibB+FitbXiGK98ZnbG7NHUAMbX5P+aspca6nxVVebBOZxo+avwAMwH17fmJucW7Vzk2M+EyyblX3zXGFGRl0lU1pawbhWF7+HzlxGdrmKvlk+t+dIRlcJef00gL0n0wp5cXulet56A1U1qL3hSZG35dVs2lR89a2LYqoDL/P+HEoEYEzH2JxWUzIyVvUGuWCZ+a5/uQ8bB3/w7j4ZQNaqX9in5Nvi7ym+so2t563BohBHMfQKChcL6wpscQAropGKXFASJUmMqSIe6/69x7mEZr2+P/YCUE/uv4+iafZvE8C82fqjI4ChbKw5Uzi2WwPCsu9g4BHLI4/GpQsAU4EBuD5DhahUwPx8eNZ6PCzNbhwe7vEiMkUHaPWcyB1TijcJdg2A4kVZp5ppeu2gCrfsKzr9BDxs85EPae03cwAUy66h2nevdQCA/0urnDsHfV8DfuD36Wc19P75D8mZ+/wbfauP7MOhonEXs2DIRxobn9P9ULIb4RJyK3JGOvHmnfRsll7zV9USAEbN3vhyb37uq44p1YHU+64FgMEjyL8RK5YgC9BV51Yt8lT1P8fZ5I5e+Z+yMF2+bepvGz3IYsXnXKbmU0GpGaugcPEgDgorJdkKIEQseuIDGE5qB+G/dPejD9uWub7+BwMp/PHt+/PquL37fvjWA0ewW10p/9fJX5dsfgJAemnQGXivLevAfv+pXPsLyQH8ov22Br3TB7PLtShrPpxVHsDMBXdV6xBqtjQdMwHAotbWUnjZBb/853f4XQvSn5phutOA/HXtWPVIz8jLm4fDyCp5UK+9Cs9uDIbDsAfD62OXB9Jqew1NCxp3rX7svo6lTh+MLldGY2M0np9p401VrAc2jgOWt7K/taxCe29R06KHNvqHK/lgQYPe6YtUnRUiBWkvVIFWIZGLatkUQ6+gcBkINVseGcAm95Q8zot3p5dsHodRo/5S5bKdzZsAQJNe9vTrs+41uMNgGCZ95mRK2L/ZDzPD3FA4+dfOg6qsHz9+X3+fqXb5HbqopZ7rWbtp2p3Sk5Kue+Duw1ufmxE+PgzjTZrBNzO0JZOHuoaPQ5NetCj/9hsRNeRztMWmjMyZJ3ZuGgwjHTgC2Nq4XU/+JhsHtu0cBwDkrSkJr+8aB8C0ie3d1920/brxA34AgMZYgMmrw8N+aEr5J2c+9NDG4WGYXd27HjvpsDQEfD4Tz4NVrP95+Kxr3SgoXICLUgn6QpmZnQ7LdKnCM3qeuvb8Bbjj/ZxjVAn9XzhBNG1FryiJAsfYVlgBzCuu5IKi+N8/XqbpSYvGFIZFQLfCrAHg85luy4le6ff5Nrr98xfkli7rWOr0OEsMektLCLqa3tZFaRWlGmO92FYE4702huvivnQa/e5N4cM5dXxFQc4+IQwMDncNHweAjHQMjGBVXaWWcQliW84Hu171b37++A12BjgCAPBUOf0AoGLaRLG7TGNe9Orfrq+wMwB8VXSTJlc17zrGGHHNhAf7w8N+AAh3sr88GB1r49IFLSNA4VyGCbDss/Y2G+Bz6pUEqEuKYugVLi9nVoJGPIuy85yVoKfOxipiWxwOy5l5ldMzM884BZyj56hRP0ueLDR9PA6HZUpxDPy5RgUMPELHnli2epuNPytBtBM6Nf5wd2osQfQ63d33VDR7nHra8ceev2zu81RFlCo1mVe3LXqgO4wKvo3xrPX4N5+0VzJcm41xuWw5M8de2nZG6GFo67NvX5U75vNmm6ypT28++fN7nUM4DWAOtfufH+67Xs7MMXM1RnVZV1eZ2njvkgwACO7sPvjmS3tDrw8g88sVRbNT0VfezVkXzs5MAwDsHNy2M+yrouml/tzbdCf3D0V/iCCryx+eAFD8D+airKwi882zk+awjK2NqyjK2t43PBz5I6Uc/82f9gNA+fds5qLuKg8AG39mWKSiiHBxuexBRVdUEJKyXYYtyDF2XpRE3p6Q/MLbGE4QOMbGT98/+6wkcAxsfOzyIMfY+anGQY6x84mnLtzztLskbrGWDCeco5+ENpH4FoZhomcjhr67TA1Es3vqjWqtedqXMMcIILfUxrXZzCXXz1YnpS6MNqCzi43ZKXRmAZCaMf2bS8+5nXlwYfLUASPXbdcAgCqn2NbGGXPzNNDk3DQVapmz5qaUaT0kA0BycZsVAMwMAJjMSMZ0koEE9cNUIAnQqKJdTDVLKdDmTr8uNb6rtzKVZjUApJY9HvlTALC12aORk0xbJP3JxiVmhMVzoxKziz93eVLxDUp4pcLnGV11HbZ44d2CumrdtJoY0cCSqMIXgGlnoxWxoWPLIxHVU8WyAXgi8kr6jvJafaKyWIyzej4f08dTvlwHncHUJ4TO2wYATHXt5R2r2kejYTD00u6l3aLYPftRPU2vHYT5cZG3mcvMNl7sKlNrSp8V7EZpYW31V69NCVpuU50+/lbE6w1VpmpGNn31Dc1dJf8b8ZHnpEJdXGEuSLvq2hmTwb1XAUCqNgvG+mcn/nXrdWY1QB/Z461yDh7cHUZ4/5ujAFBs1JR1D98kX3X9YrNtqRqZ/9I+B+Kp4sY8nOqp8gKA3wfQGVf5cSpyZzr7dsYIANfmaZexM5MAQKN1+buKAIQnkJWbnQQRQEpKSZd4b/pk/9GZBapUc4XrwbLikqz0vH+MOHSYSrOanhj7636V2cy138n/6+ZxQFNZqTHOQeAA0yaKfMXkHn0tx9j41jOznyK5UZFIymB5R5PXq+RJfSIUQ69w+bGuwBbHlkicnLepv06KT9zOJPFsrCI2ggMR2z4t2jo20e6t1k1TFrswZ8uTTR9PoF8AQkKg0JC4lHiuMeuqN5Rv+/1IRb3NxgscU1l1B7wdJxbbebHeiGmocm/RYVZGNoBXXvQNb9oSjp/SqL6EFIMGO0tKuk5F5t/7j2P8g32YpK4Cjg5MfqnSxeD48CgG1xqenwj7/ePA+HjqV22w3sIYbbxYn6tSAT2D4c1L7+nD+IEdfk/3ONSZ112rAlQ3/tgIAOk0Pb+9qyAJ8x8Xu8uyAGBCHHlpaH6FMQfv7R7exh8+beLFttzDL8Vly0aHRk4n38aLjVmnu0rop4+oixh/P6gZyFpYvGD0yKn0x7wuRgv4NvrpSfW354+G/X7nqs2n8gAgvHFjWLuo+HbTSBVNs5tOHLrwxzL1CE9QAP17n6VCAoqhV7gCKF0JNyJFC/T5gWhNjOnl4nQGk4d1CAlnYxWx6YY+BueJto4QPaXvKK89R8x1pOeoj15X3V7eYYjIKw7U9dbopo/HFGiY1s/Zo0rot/px8+GXnwnENSz1swa9bpZ+Zgzv7423mjcrw1fl4AEA3m6f0S4IrqhejbkkKSN1Jo6CFBYAmACAU8mA+sb2TTecOpHi/Mk18vjR3WNF5sqFMNbzGEsvWcPY6m3M6kdbefT4Bj0svXZoYgLIKjIzdvzXgSy2JB0Ahl0lb53MYnO2/H4fABwRxT2ryj8EffDb9NLNo0DEV3M0PI6rUpKSZ2cDCLB0lW+8b0NDn5yyqILhBOFBLfUqS7veOw0AODEyvCzn5ES/4KxyrvefntjV1N4/FpFDm51/jS+ojjiv7IsYrsao1prh3fLrzW8PA4BmbFf8+RHoFwChf/ojeeoRruRJfUIuu2fqivJkKdtncZvm3L+YW1RT7O+25G2x3xPR9QNxupc5msTP26Z5pV0uhuGERCFMGAHAqMkqLLBaIy+gycmcqhakUUV0wOKu94j7W1XWJQbtGmN9GxNPVZrncsW7ReqcvBx1pJvU3LwUpER87QlliFJUtEqtzitm2NnRc8WCWG9UFy0rmEPHPPO0Ks9aMKVEFu27yFVRMi8FMJvnp6izNUASkBP316fMy4vtmisXqDMBALmVQuSvEZUqYxhbXOVNmlI7iC6QAPgcKR/Et4tq2ZQ4eoXPLJ2OqFv8E5Rp/USEmh388tZLHwA+VZAWADT24MH1gsOy9RjyS0zOKg+Qp6bHHzi1/cSCO2c9Gypqsgi17bjrrud/8ezXGwxOHxiGmVeIjW5wwmO/K7C+dVpESuoNd/zga2Ptrx56763dyJyXdepo2g23pZzcNbMm3PtyJv30dVrjocMz/v8jD/3ndZtuvO7g033vjJ8GNAvNtx/r27g7MolXJ2P8FKACJoDUwoLlcw7/5eg/rL4dr7/y8v45VV/Z98xrc2/O1uXNfGkb+cDfuRsAkJ5j//KpF5Y8/cI/zcNeftVSpw+w8WLr2UXovmAocfQKCueitDU6YbkkVh6ArubiWPlQiyUW+hmNMjwr2N9WH1sAMD64Hi0W1uNzbxob6Iqs/+4+cfWXvwFd7eqSLKC0tbdGB2Qs+b5VV9PbxsBo7e39w/re7rKA01Dy1uksuyBUzvzfd7f9NnhVzpFZAHB47+j4kQ/x/ebZJ31VNP30EQA1P7xJlQJkm3KXOR+aqbqx1Gq119+1qGHptadjgxo/VWStNBvv7eZsleYZ8XezbdPozBmYRszKA7CW9vWEhxtLDHpD9c8VP8wlQjH0CgoXizNzr86Rq+VoCSH0XIfJbup4LgRMC+qPX/7IQPwKLXP3tyNrv4JdM7Y/dnjOomVoseidHqc5comh0edh6Xs6va/5MLiWpimaXjrwwyBnzUHYbTD8KXwKBUl9O18f8gGqlJIuwZ5+JLzr9b4TqkpBrDeqy5rZ118N+6po1uNzVozfnLGr89V39r+HFVZAbSyO+sq6NP7/IWPupU5P7yGMTwIABPlmZlFGyuDGZ16beqNmO6vVAgCM+94oLNZoXW02e31OeqGiV3OJuOyeqSvKk6VsyvapbbwtWm0qHp4fcTon+OsFzmazmwHkTH0j1UybKNZEQxO5oCiUpqdoUs/x1Z2jpqdC3jVFLMO1l2nMlYyd7ypT55Yy5oKpqPkKu21NSdRfnzStF+2aylhcO4xlRUkAwDCMne8qSlKVxlzk9voKRJ3xieWxoletYTRR2TQj4vWq5phtpblqTRZQwbdNXcEkrBV8/vzs/5ftolq26R+6goLCp0RIABcPzqnpbQXQCcT0dXvRYmnysvmBAAyAPzI1Z2psk/3bhv7kfWr4sNpcYVr2pQ162gkkFXWJNbarfzJ8GqiwM2n7xzam/PLN4ke/829vj1cUj21Pv6tUt31Do5MHgLB/42pgCGPGvKuAyCwbm9ye1CwAMFa6Zrze9D9Dp2LO4OH1GyM7KmBw805VyvWnJ30+Ux3a3Kcn0NTSjIHuwJi60MS9LhqaLA8/66l6ta1S7ds4DgBmo23lEs9aD8BwbaaO8dq6gVVC7cFqtFiaDK3XP7wx5Rmh+NHqP4MLitW6UCik0+mAog8sQm1vjSJ2c+lQXDcKCheVUMvixKDP4PTsLVPhsU22tkhGK3zNHn/XgTBGxk9niv5Nvsb1al4UStNnzJ3n3X4k4hrf5PZ5OgdV/pd9PUNvvD8x2OwNHwOA4+OqkgcZGy8IbbaU+Snq4q9kLMrTlKyJxLgUzE8Sr63gaowHTqrUB0WkZc9ZbE5LRsotFblzUtUAMEHntXUVnZo8AADPbtVXFSUBHqfT4+Z9gxvdnrrKRazHNxhmXHk/30FrXYIY5AqO7Pvjpl1rSjSAz1nlCf+x4t96YjHvkWdX+F+XOH3eTjTraZoyGPS0onNwWVCibhQUPgahZsrgjO5zQWna2mwnsQhyb038pYPeujK6UPzk0HX8VQerGi1CZM7bG5nzPrYnv6RrPgDgb3Y27xk+fL29YtD9NjA41a26Mmn2d0/e/1BkRh8ny2j9Vs6r67si4mMF3OP0D/+1L/LFKJifspe+BpOijCLXtc+73po7b87Bve9NAimaG3LD7/ZHu0imceocXyVbDfPsvseeDpeuSPrRDf/75s3zjva9i/Gx4Ok7vzYj8Bf/ztGpphoVwhNZwCigKdaO9wxPICmzpPBwlx+A7V7jxqHcPM2IZjLl6y291Tqvg/1l4M6WXkOTMqM/GyXqRkHhCsLGS6IkiUG5o4kgoRJshFAzRVMUTVEOtApQ09QQTT1PV/0tozgHux70OfWs+7nmyJzX3fBfeF+dSgDC/LRnK79wFlyD7jtjVn4bUAlsw3ja6SChf1J4dVakDB9g/l0q5NFBz/9MiMaVQY3mAPDqm79sEmEHQgD690wePzl7xntjE+/xrrdOA0N735sE1GpMht/tB9RGU05GOk2fEoGspEgQvTolNVWzrDiDBjzNPoS5moOQRrcZCsM9Xp/PPzZhzhl0b/K/lVJQZLTqVSklXQLHMCu+AajlBUYtEO4ZluYXVFTerO7yA9BozLsOR9QUkHN3tEiIp1OJrrk8KIZeQSGBTkJTJG6NWhZTZ7ga9vYgMDL10ttEyoMxo7+L+Jyx+X4pAgJ0KywMlytKXxf5r2QA3gM3ckFJ5DNUa4ZFSRR504eZzKx5i7SuNtNP2DA6h/BnsP+pyahSZc4ClgEbjbhfTb8I/BgYnBx1AwsA3DxqodKuAv7b/27S4JaecHghkPb0/g0qbAB0AFRpydg/MKYCgGXZNBDRQxsfB1QFbF7W+GBg/9gRUQSQMnZ6UgSA8cnjx8PbesYiU8rwzm2Hr1JN9vs3uf2DR4DkwUP+24R6o2revKt3DnqDE5NdJQanb+iVv6jnjB9+Z3AYSAEm93wg7BvK/inHAOGwP+XQ6ESfz795/35gDAAYrs2GgUcikTyKTPGlRDH0CgrTYBgSlU0OkaiPY/q03VdF0RRF60n5LXjoGTj1xKtDRBxNY5fEoMwA6MTQAEJbic9J0RTl+BUJ9MBaK2/QUzRLDos5ePJ5mnVvehVD/QuHG7/ngR3YZi74XiZvCo95JPzCWjqiLbBTRamp6Tcn5f3ZlPHLvO8wzO0upH577OjA+LEHgDUTSTfPm22iU74GIDnTRrAQkNU5d81IPpVVMOeqCQCXnyRVAAAgAElEQVSa7jEj8FZjiTEZdwKY6N95uuAnsfeam51Fq7LSs9QAZmek0rNyVACQPluTkz0+djo5I0trdjXerk1JyxA/eKboqeGJd3f4AXNxNLQm/O7o9Xdz5pxkRJd9T58cGff9xOkDNMUVAJD1Zcb+NW/Vz/JdDOBzuraP9bzNtdkY7nFFlexSohh6BYXplMvYSgCEnkNBuYwzpu0Ra87LDCdVZyPFBC4oW0OIa7N4m1AnSWIbcAi6FTLDSSIvB3Kg8pOnmojWLPO8jD7ifb2U637CrDqtKd6frn22rDJfCOr3D4/PX4iyVW+ePvqytzN7uN89gTnZGjr5usB7x67RaE2FqoWqGZkpE2+k3HTUdY8b77+99/0UMWPcXFSI4/nJOAGsHt8/O2VuFq7+B3NlPaA7NfkOMN/VNXgK49y/2JOyrn+/56dRVYOMoZH3VKdGj4yOA5rvP5FLDu2fwLzMpCPvh/ePkMw01djosL/R9dLw5OjYxFcZvfE+l50B4O8JA4C22DwHg82/uc9xk6ZoWUFhqvHeb/XvSS5cwwAIv9MHzFRlpyJ/HW8Pb47UsFrxi3f+e3VHlcfnLFFUyS4liqFXUDgDeSXgBXig2gAAQp9s0AGxaXvuLYAhup9xh9yhp2g9Ka+VAWA/2QDCUhT9a+B9ghHyP06KZgkgZ1yH7Frs9BOWdYR9FOsmzqVOf/+a5NR7JoZ/tAsGnU53LdS73irY7L2emnHKXvxqUuZizMxOUR2f6HnsiGjpafS4X+04hQ/GkzD55v7GP9iBmaqsSbV+9omjfUlzTqbhIFC7rGDr2LHR+fvb3z5YJ7Z9K0OTpjZZc+dXAj7nvxecPjkyCYgAkCSfBnBEfUMWU2NNxzO/Opicnme0zjMUFWVpFuWKo8dmFzNckLfZeZG32XJkCH2/d/sAaF2CwNlc37lh2SorY17NagCNszmPgr61q0QcXu8DoC5u7v1GKjTO3hqdokp22VHi6BUUzsS6Ao5mUmCQAQLAUEiEkGwFAkBtsVz+1YSmWXKvJEf3F8l3AVgkCfnkrp+RwTBhZ2IJ4AXGZmHGTsLqoXVJ4l5c7T16epQC/GX/9PTOwKKkpMHDgQaaYlU5dlz3IXb/4BRS3T1PA5rhTtcw7qfzGh/Y/TcPfoDDa08DMelLgizD6dFbJ3oiq7dzFxSc3Nuv39YPQPUGTqGHpnsAZCE8F5pjZe38zlVseBxAJnAYyTPE8fS82SO73x31vesFcHhW8pHd+7y7I0vBf0uZfU2wx+fUswA2v5F1xD96GurKoBj61XXJjQYDkFaQe6x/CBjmwxkA5s1SDa517Cy9fhyDMMYqk0T+nrXlDXraCTCc0Bvbt/FK7NylQ5nRKyicRSnghCEms2WtnT5tPz+etcTDUgYnGTTLIi+HZ8ALwAj8mdzXLTMAQgTA6dGZgBoo3vxb3JBzg9NedCqwAbDTi39Yn3RQC4nvbkjCtnr7+1zw6wKX+80f31/L1Rgh8ZIoSoLL/EQWZMCuNvPZqSkxLcnSoXnlQDC3iAFopD6QMt9cscieNBuAezz86uZVy8KwAwBumAMZp5YC+3e/f2NRo81Wb80Chg6dSi/9hq3eZi7KyirKn3x/NG6JR/2nH+hek47xjXqa/m+oCkwAjvUPAQwXfJbVmHKL5+lW3AUg7c7Iwm9u7qxTWLTEVDwPAHTVvZIoSmJvjS6+r6iYXUqUGb2CQgKlcm8pALlVir5sBYCEaXuNXA0AcmsNgEjjaVh5qUUg/HK5pZw6cbMkcFSTQVq5lWKXEgBIA66Hxi4ebIX3HvrhtNYywKRf0F+pq9LlNyB44CXTMAi79AYY5W/PwhI95QTR1ABaLOHlmCLMK6P4AYDxrpPj0dzXUuDo/r3dgHtoJ5BmLL41sKPLv2lPpFKVMTn99uwjZC/UQBGw8z0QIKmoW9x+4JvJqzw7AVWpIN69Kv3nI7gtDQBt2iSY7rrz2FeyIQTfObloTr976XoAKLYzqn1jw7v+VlLx8L0f1q3qcuoNHW1iOxyWBg+AfgNvA+sZNJWv3tJiaO01tDia2VZDk6Uh4POZ+GBBg97pA8MFe6uFiPgowwV7L70g6BcNZUavoPCpwRgxvAsAsDcWsTOKZ1mKdaOsWxJ5mekj9FqcBHFQFLtx25jb8e/7MW+UvLGRsI1kEvoZCGQWABA0WlQ3IgyZc5WPe35pcGL7Lrx49xKa2tfoD2fXi2K9XV00GbtzZ4rB9eV5S1PVlYAGxwZ7unaKQJrefv3iORoMnjqyfsbNshZLgZ0Asgq6U1Ie2LmUuqVuUo1SABOdBrrKNz7Ys/1V4AgO/1e7wT04vHFTYCMZ7SPDxxl7MQCgx+2bAGakoGuTc1XXrJ+KYtA+9PMGIGCqE0XeFhCUooBXIoqhV1D49CgGfATA6EsoWAYAwTcRhsx3o3spRbMkMFsS65EUIOAlUfr67erA/kOdPS/h5kYZLA6+RB76x/Kj/QToOCpaW1zQgDgba1Q3bgLI4Fq6ZJZLlOZ+R31wZC1Nr+0Z37kpL88+Zw4A9aTABgLHkAVNXhhgmCIzgGND3Qd2vBfGKgCDb5BhbAYKknJKcXg4RdvHtcnS3IEj6ATUKTk812bVZC08BaSo0k6PPmO3GzV5lZmsnHUDxlDe2QMARqai7T68fzDl4aDIV2L4JzStd4e1iz5yDV6lKODlQTH0CgrnopN8XFWW0FYyBOkXcxGskbOyUF0kL1kB4ajMS7L1DrnSLou8nAeKXvub0Z3wbCUAHntsh63emm36zWYXAV8TNulgqG4KimKw97vLgCzcxUtdZdA/0Cu4ZMYlirWlFor8fvwHWXZRbFudqm7Yvdv93nsysAnQ0Jpvpv/vX8Qkrs2OyW9tEjhjtrjAVKlVoR1ASpoMPAH0n97f+bfMr679Lh6tovw7jgOVwOL8/ayzyhseTfnwEKDKpxF2uwfDI+8O87NH3y0M92yuarQDGPRtcvxs5rcaH+rQ0+xGMG2iKInitnOKDCtFAa8gFEOvoHBeQs3EspiiKcrhIJbmyBHK0ZyQP9VJ6Og+aXIj7Ca4hTxAUU4naRkBdpHfDBGWIt5IoP0u4g/LoiQJHCpAHJ0IPo9nH6ZYN+yRpVo3aR9FzyMkBASaSQ8Q+BX1r5vhqyI8MPYSRevJTD5XsC8cdS+hq5YfHxeLjaVaEGAZkPOl5LID75WNDjqr/jhm6CFNLxSPIHvPm3dOwG5c4zx9jAA/0JYFAftkPzo+MJkqJzVl73cVUen38o+X7TXWi+K92X9LdtVNUFeV+MU2RnXNb7maPeqy74nSS/idq6xbFKXfz909c+UD1b2SKAY5VJ2jSG+kjm7QYPKwNN0QSJzjJ9b1je0rYvSXAkXUTEHhXHQSB+RagWoySK0gFgGmDtTukPnFpL+QFNRK1SCWJtSBCLVStQ6hENBELYH0JKgGt1wXREM1Md0mB04BjcQHcEGJbaLunCWF1gEgDop4AMaIoWLpYC1ZoCeDAOOSJ18iN89FfhU6quTyOuKsgqsML7JS+x5qSb+0fRZlcAPafRpjzva5ZMmx3+WCwcY8HwAsZuxeYEv59UzzgdwX8qlVkNpHdxga1cAIsMm15rdt6xEGgMXmolfG5v40Gz8aOnnV9lk7DG5Lm/3tKveNMH9o1I7/YrKf7WwAdqIyyGzM8wEMJ/UWvpG+9NZxwFgvvfPIZf1oPqcoomYKCpcLucAQSY+SVxYiCNJfiJWAU0/ReuKLR15SVJMA5OOuFRD65DpJtupgypFbF0UC7SVRkqp1QL5c808A0LKYeACGk+q0mDEL0MmrGZmXpN51WGSS139X7u+Ty2uAcdnm+t22zfsAIEv+8ePQ1co21+8qzCvv+r6MfNy19LDpVrnObuclSeQXYNb/wv1d59o8zAIgly8Hsl4yGr8i8FaGe2D3+t1hEKDTiB3+nUknjgJpp3KLgfwf2Xi5OP8/uKAkdmxYUnwKOeu44HZREoVb7zPV2xku2FuDpx4pGQcByODaBeeTqYnWQVS48lAMvYLCR0KfT7Y4EMiXAXBBSZQksVWOqiNIUdUERLOrgARRhDg6A5xNBEB1nQzA56RYyNlZZ11lADoAA/o7cC3WG4qSh14PAcDeFou+xfP7vwDwsLTB2eypIu8adMmHnmWpIZoVhtoEH4jW2J9xqMHgDDn1lnYhd0wLHTDZ8yTseRV2BsCgdr4GneHO/xnbPxhofsDgHPOwljudHqfe0rIXGG1vcPucepqm6CVOn2ft9jEAQPEdmRGBG1vb6o4mb7zMYbTC7WILTdEGp8/DOlqaHZbFsVOhFgtF05GKuNFmDm+ng44fVLgkKHH0CgofCd1yOeAk5UHZulxu0FPOiEOjNrpv4yUd4GHJyqDcoaecABeUIJBpXZTKgkDRVOSgzEuytZNYBACwxvrhghJ0BD4YStHP/u0QTPfVYRNL2jkcauso795h6lgXyHeJf9YBCDk+MLBUCd4HVgOvhJEHyMNDQ8ODB4AgsKFxvR74Lu0FAD9ygXXakiXDXXvCmSEczhzsHIUmieGerXthyUMLBQF3LvmF4cmcjoJoASxDe37dqt8sqqvRAdjb/8HJHK590c9WVTkBGOy8KFnR6bAIIRgwOXvSxou1gqXJ0MoKln6rDYXHdrUtYidT4uW0qlcAhXOZ8lpsXRUrOHVJP8EvMoqPXkHhSqUzklIEADZeKGhoMuxotYZaHM+xrct5i97pAxh7xVyk3VbbWi04FjR4tOkY3p2DZf8yo/kGP5bZeLEV9+ga8l743otLqnzhgsyk/sOnkQocBzTavPDwbqhKhZaAoSpaZzwrGaNRFXmNBuEwgJx64V8OrNrg9vkThmZmtQI/fDz2UgVMwGjW7vYPn66oZPZhLvDa2xuHJxIuYWpsEP7i6xwCtFoMDwM2XsmPnULx0SsofBHxbvVEy2fzNs/WoKEwIISiAYvepv46SRR5W2L7jDtcOXe2LZmJwWanHwBUXf8RjVz8db0PNSI/N2nOGldulpxeYKyonHFippUpzaVT9mZrVCklXYJdk16QUzIns7S7VJV+L78i1+UyMrM1h7b+uh9139TSWcVMsVGtdQliG/PurrnNHGOrtzH2CqY0lxQWVNgzTqrTmUZOeDfi7MlQFRZYSxl7JcMFRbGNCTz/7tieY1qXwNszvtOtBFZeUhTXjYLCFUmopaGPa28FAJSutLFbECzv0NNOhrGVQ58fMFA0GIZJn4mctDMuNdZwGc3LfEDJg1ZgA3DomtSc5GaaBYBGABgd3NQPqIfDbyKp8KB1IT3ZXmIAaPVNDz5w+r6lnRNAwzHzkHswDGSk9OzPLzz4wtVpqQDGhxsNNABtbpVzCAUj6v7hcSC1sAAwlS0Ya3Q9z8yZnLwBKQCAnLvLe6qc7o20E4CxOOPGnECjgQU0brpR0TW7hCgzegWFT48QscTLCnYSS3Ps3/PTsjhe0Io4FpMpr7WuundHXAPGWsu5twjVvZIo7uhtrdHpanpFSRR39Pb+c07aitZqHVDaWneoEYb7W7+Rii9NCYd5f/XGCcxSZRyZ0ybyVo3WJfBWDSp5gbNxb4liozYZ8L5Dq8q6BLtGnTMi/PM3i1M1mSxfhxQzY+PqmeQTR4++9to1d37la3eXHzygLukWxSBXYZ5pLquwf7lkY5Cz2SsMeVcDgd1pGba2r8NkTEkD0gw5eVcju/rbRo09KIq8jVndVnf0YKZLECX+Ljuv6JpdShQfvYLCp0aomWoakAP5cm9NrFa4gVgEuXc5seij0fRoImyrHGwm+hpZB7x495KSzTsjl6vLhCOP58Vbss+RVR3E54ONl8ESD1Zry2pr2MedVVHHPTTbEN4CuBOGYAd6gGJt5dHsW9e1Y1XTm2HP00MAY4Rv0KzV+IfDiDrpE0gCTiM1CcfzjBgcROaa4AfO5xYYnIPQzlMP7x2PN8xKwuhpANA2CjXD7aOBxkYftGbGqPF5X9XkHQnvBsyM7ea5kaAjnzuNc3U5G4cBqJm2I7e4kpvD4gW8852OL2zdcMVHr6Dw2YDvkFe2wtRBzggnSaxRxeYjCLJlABFjNq9A1pRKoiTydvmxx3VPrbL4QADys2oCeMd8BCh6tmHxMTts9XIGgHBAAwAM1yYZc5fZ+PX8IqO6UhCDvAYAtmqKM2z1csaulwM97U1On+fp40yZFvANAsxDoYP1RrXWfBw2XhIFjrHV22y8KPL3M5zAF+dZ65cMmgtScHi93vLz0dUCb2Nquo4EOQaARlvBCWL7/YzLZQYw7DI4PR8U1dkADPt93qPLtKdwHQMAfp/H/fLIG5t87k02vrX6n2oYAGAe23A/7rzrFk4Qg1yAjYdXeh0UTVMWhyMhBn96UKYSi/l/RzH0CgqfEp3E6SMsRTw+0jQtb4gk1qjSGSB0omBFTPc4C+FOiqZo1l0EINu0A5ABe/hoaG/Puow2UQxuyB3xxfsaeH4ot1Gyuco7/tSZcQcHIQRgfKOB1rNhALgdPT7PWnJQn6vyo5wzM8a7TLOyo8uh//kUAJgfF6VWK6BbXh5Y6/GwNM16fE4D2znofwZ37Om/ppjjg4Vb/3ws8ijyNnWUBwVuYXZEfGzspW3LXIytjWNKrbva6o7ZGVsbx9i/N298YuK69oh3SOCuu/WhiJhlyJugWImpDqNHQs0N4EVRai/om3qPXkXk8tNGMfQKH4dOx9S0K3E/Oi+jacpxZiBFdEZG0xRNn3Xy7/Jxky3P277TEVdliSf7nK3T8n/Bu5XYeEmUJJGXPVsTI+jlaflQpUADYJg6bauXbHbJxvdW64BjzVoQwM18S977fmHhVwHo5pqZeON9E2Gfi/I0On0JN1BXCrzdVm+HtfSZKhdjqwf2zsvI3r0XJ8a0K1ce8zn1NF3lG8d0dNW9vM3WxjEAwwl8KcKDx/Lybe0/giAgV7sIABAU+kwGHTBzdmzI/sZGn6fK6Zs5VxM2FMC08oHq3tb7/7FYY1qqs/6w6ESjweD070NEzDJ2uc4QE72ZdiQ4YFpZCkDHljMJI1NELj9lFEOv8CkQm5eJIo+Gs0xnNEZQEnmwZ2RLhpodDoclkkV54WRLh8NCU5aW5pi9nt5JLBXT2+T0edjY82SqjdfBegCmfLnujCH11uhCfzeTc5p7IdTiaAkB3ubpvoQQaeiTayN+51LY3Eh8pk2vUSWjEGyiF3oR4MbKqM+6PwUyYA/0YN7svr5XAODo+76062XPWnJiFry7NMiVbZwofr907EUnDDrrYpzYSFj3O/8BPqdz9YZGn2ctME+eMVvo6hgbm6vf9dfYcmh5ceKQvQ7asQvIru4NchgIAkZj6aYe7BIMBtT1jaRHWumjYZ1H349ZWrPLZeOCorguf6ZG6EdgS6fXsbhl5/thAN42f65LEDgrur3TLg8JsVThaUf0+YEtnQAQHEh8cikil58yiqFX+BTQLS+Pel0NrRdYSbPWcjjzt3wgkN8uBrnAVm80koS3BYQQEClVIQrRKhaBQH67yJucAytFiTcNBM/o5IyqFxE5xIQ2aOVt0SkzAMDD0gme3/jlZ/kZyttFqVU/zb2gY/MRhHfLgGHa+9TJvTvk2BG5VZKtpXJvDRD5V5egeAMgH4nXeljKA4qlaNrh1d/aNwgCps80K3jHn+tMVTStp46CwSJZ5OWMfFlsy8UQ8ThpmqUGC/nWUuBLyLTLouS6y8164N6vMdrq5dwcpBQs2+dD2N2UdvcMt56mWU/gjz3TPo5WHhHXjb6/rtUKQHs3lzGp3aBnnf6R76yzxj618g69wfnWSGRGn3H7sm2NHqeetvx2NK34oTS3z8OyHp9zy4gGgLXKPNRoMDi9WJp4OU3rO8prz3FEV1MHlqYpuqFvakaviFx+6ihx9AqfBrrqXqkaoRaLnu7ghL8XNeFz6mknADsPmMqX66AzmPqEUEhYFcn25GrPusRUvlwHAUy+Hgie3UmBAUCBadqv+1DURQDD2dUwEqM+QtMuT+w2SnDAtLIGEfdCP6AzgO8UClZUf9Q/znS8Dqp/hRR/qavpFWsSz1sTX7ZKYivgdVgEA6Br7S0F0Cs+ML3HR945CAC6qcb3tLZGPoF1j0WaVK+Lt77/SMK9IpdE4d+xAnigGgi1NAerdfE7VvdK8Tfb2ls61S0A1NzfGn1fFuGrgO5PB6feXHVrzfTLz9Gh9VzvMbFB4r7CJ0SZ0St8HAwFgdgvaO9WT/yw10E7OgFd3AlwbrxNThh0iT/Mo+UpQkKg0BA8V7bn+Uns5JzoznIafMJuz3QvlBrQ0J/oZP9YWFuljxo/HlveYFH396uqfqzGF8TrMPQbPvL0+f94309v2AoXQDH0Ch8HXXUd2Ng3k28tjS7JWlv5yA/wqBNg2jpt3E8SvSTxhzlgCjREf8Xr8wMsRdMNgcRHRaSKBX/WQKZ3gjPaexPbJDgNzh7SGevD5+z2LPeCHoUF7CWwSqWtkYWE8z/MPmnjC2Jt/TipTP/H+356w1a4AErClMLlJNTs4Je3flamcl6HRajtrdaFWpqD1TWX1TB1EpoFL8mRQbQspvrrPvIPBcSSuRJ8RF4HQauc+JZCzZTBCQCwy2KrjPPRSSyC3A6qyTB9AGfdQuHCKAlTCgqXlenuhY/n2bhoMAyJOJQQIv2R/5upSF3DCxQ+tCymaCpBdCHSPtJPJ6HjGgwhsmpAFiVJlCQhn1iaEzrvRKiZOBwJF4I0OeFhSUtCG4UrCsXQK1xOdDWfhen8dPfCx/NsXDzKo9VOQs+hoFwGoKuJRvEH8qPZuXyHjIGppFwAKJfE2O+AUDMBL4lBObCVAKShAXwscCj0HDHFUrp0NVJvTULnAgASyI9fCECu5WDj5eppbRSuIBRDr6DwGUVeCXgBHqiOrAyHiIWiaJbgPIUPzyA4IK8sBXRyb6sMwHd2i0SmOke0TqEOpj6EzttG4QpCMfQKCp9VrCuwpZnAEJ16e5tQJ0kiL+M8hQ/PuFyfH3H+EMdiIkC22UlDTGhTt1wONETdOKFmytI8rXOA9AtACIHCaQkB09soXEEohl5BIUaiyHDsiOOCIsMfsdt4Jy2Lo15smqJox3lnvqFm8vc1vAaIRQCcMMT8SPp8wlIU3UAwQHTL5YCblC+fKl+uy01wzT9MJgFdjQyWoimCOtkArKyV0UFebKYcnYBObi8nBoqiKcowIPfWTOsckAMN8URfANAZZA9LhGltFK4gFEOvoBAl9Bwx2eWO5yIviIWi6PsIOqj4wqZl8bQFychLR2RSHF+EDCUsfsY7iVG9QxIlibPLQmSKndh4+tJof9O5bhRvb5B7VwCQW4NooCiaJQUG6GpkGwAfTCAOQS63y6wO3ufQLkmiJL1QQ7Ygop+MwGpp13JioYgH4IJSrUAa+girJ6Y6dESXVQm/XBKDso2TxBWwLKYMTpkPyowPPjdpH0X592QATj3VYogmAItSzEe/Q+ptlaMpwQpXBoqhV1CIkigyHBUWrpMD5XJ8YbNux7QFSVNddD9xVTNRkXiqk+gdoqbc6SYRLYKpxtUUTZFnjWBc0aXRQP45bpTYOc7ooYlEhsExMukDADYf1YupDTE9ZN3y6NqpdyspX46nVhG0xbuK3yK6rHqmVGS5JEoyYvfa9hIZ6CYRj5AiKvmZQDH0CgoAzhQZjgoLG2BKWNi0Tl+QLDBEGpy5qhlf/EzoBIhHuUgSV4pfNwMh8rA71rgTAFaslpElt+ejohk+J+UYwdweUtEMD0s5RmAapR5yw6mnWp4jQwEAmOyhHnom2sPY/ugw2HJytBAAdMfIYKF82y2I/giA/L0AWbCYYt3oF8ifdsJXRdF64jsGjCKwExghQ82UwYn9I6TCSZx6qmUvMEBolvicUY9W5F5+k7x+XdQjpIhKfiZQDL3CF4zp1f6mPOYssfKSKEmCHR6WcvoIew+BgMAA2YDowqa3mszko4uN7c1kINoj2fAC2TC1qjm1+GkoJDsfoRx/QGRGr1suB1iKpqiemfKmGnibSHEluG6ZscsiL1fYcfQF4nNSBifxD6Psp3JgDwBiuFPm2uTAHux/EXdWwrUGP9sMhEgIGPPL938bXFAS23DgaHRxVbdcfrsHALwHYH4DA91TU/5iE5Au2+rlgCB/swhMmyRwMrcuYe3ULAkc8CeyzAVbm9zxc2zvI1ybzHDRmXv8rUV/SUjREE+FKxxF1Ezhi0XcEV9dAwA2XmotBULE8g0yE0CIrIJsA1YGUacn9Kuw3SnjFjlQRcqDsn4AXpaiGTCF+AczHn0F+CowgH01somlaAAAt07eoKciKaW2NvnZKhIGYcrQslyuBkyc1KumUqvI5o2wm9Hjh3sjAWCBbFohH2MJgAq7nEeT3+8gt57Cpi4AZN882RQiG/3wxiIgi8y462EyPIz35mFj9HaEb5ehjw4jdRfxuAGQyhvgjDSwy8hHhhsrW4DnUHw7XFWUAdCOTnPU6Ayy10m8XgAEGtiq5I4q4gNpMkittXKDnnICDCf1xvZtvASFKx7F0Ct8seA75JU7gMUkVCProhLBEeS6UoSaiWmF1NoKAFZJBiJiAwSAL2bXotlSITzaRPCAvBJUwXLJMEAKaqVqEEsTNnFoMkitIBZB3s6RJoNUKxAe8D5CtqfJWCGbXcAhXN+D/G7pHVDp/yz3roAD8jo7eRnSunzCF8rZbSTtVklYRng1OvYAafL1ZrJ6g8T+llryplw/g3z/hMwUY/tz+KGdpN0id+xBRxN6eTkgyHUvUA//jjBtUvk4Ub9Gbg1G5ZFDzSgPylaQLQCycBcv1QpUkwE6yBCAbDm3GCiVeTsRaqOXeB1UQVDq1RGHg6BV7pXi0//EfYUrHcV1o/BF4qxqf5GaULwdNl4+n6xBtG7UGRHiOrkO8IJsgRyxiQl5SVPu+ygDxKmn2I0YdFM0S3yNZCxfXnQjNi+l6HbkYmkAABHySURBVKUYv3Gq17CbMjiJcykpr5IxSiqcxFlFRj4EgIw75A49ZWhE7jfleQWY9JLycnxlNlnrhrOK+BqJbx8i/nQ2R16yG+9VUU4neW1p1JluacbeHtLxSmz4BtnDkqBB9rAU3UASlZzjEZmW5vg+wQrFrH+GUQy9wheI81X7s7bKYIn3XIlCF8C6AlsciFvA8+UlRTDWSyIvM5wk8jJjlzOAkX3RU7bvyigFWMrghtEKGy+JvOxcSjyN5OagJNhx4q/E4yZDh+ReXjaXYe7r5JEXMQz0DyOtWOLtcLlg4yVxmyzWQ10mibXYDuwHuKB87EkCBgBMBtKxGb4q0vIcCpYDBtg42QowDOCTVy4nlviiq4CIi6h8+VTJlCtC9UHhk6IYeoUvDBeq9ifXcoR1kLMThS5E6VQJwMRZcCLRifP1GFxLRcNXRqKn7m+XI6rHG9uiATkCh4xhAPBuJVxQEji49ZThBUwQWazHxCEASJklb3KT12bLXLcc6I7e+sVGeFjK0gyvD5kF8DaR1d0yAzj1BCZ8rNDJjiYSubsSOvl5QvHRK3xh0Mm9O+Iv5FYJAOLuGl1NVCJWVyNNK/lUKreecz+hk2jnCf7r6sjZGgCyKAGdsPFyfFJcnU0sCVGJpmIEB+SVNdCVSu2gmgBrwlJnrUD45TKAyjQAQL4scOCXy9U60v8Iav+AiLvc6yCoIVsG5NA6eB1wLiUAYJfX5YM3AIDp78VBxtdsE+/eeuVLzil8BJQZvYLC5eFMaZpoEavIqQsHL55Daubj+JFIvwAIOKPwlhI6+TlGMfQKCpeHadI0UdkZqqEPwN9dAj1Tagb4OH4kZQH2i4dSYUpB4QrC66DioY3nI9RM+OXyZ0DHX+HjcFEtm+KjV1C4AohF68Mui4oFV/i0UWb0CgoKCpcfpWasgoKCgsInRzH0CgoKCp9zFEOvoPBx6CT04mjqLDpJpEjIhQk1R2uJnCGcaWlOONVJ4kEyLYvJU81ThagePU+pqRfvphas+6ijDiV0eL7aVVODUfjcoRh6BYWPBwOyKh62uCtB6Pge0uIgIaBlMfECLQ4S6iSJAY6h58jchfj/9BRNUS0jmPwjZXDCw1IWR0zjXg2AvDpCNg9EhRAYl/ziI9Si2C2+YaGumxfdL9mMwbXUN++mdDdRNEUtcABPUukURVPUmhejhahoing7CU1RBieYNkmU4iVKpkploTNawcoQqy11joJWoXizaIcXeGAoXIEohl7h88tZM+6PVIv1goS2Ep8PPidF/0M0mchqBReUBBc0r5B/f4v8qJD6mY+wFNUxSAwsCY5ibw+2/4qiKWrJv8uzr8bMLAD4WStSTLK5DLYaDAVkADn3yhgHniRbh/Hy89jMUjRLZk8S30b4I3eaJb++E+H9SJ6NlBKpqwTppdKDYRw+CgDv7yHaKowDANxLI9pq0FYCMTWFuQnvQmeQGU4S7Hh2K4CICoIkcLDxsqmH+HwA4GGpBd9LKF+1NXKcsA//v/buN7aN87Dj+Pd4giIokyfXNhzHc6KYJqOoctoEbbGzVRcDkoECjVlGN8UYtgxYTYFdMWl8YWDAXBQFnDfzBsLCsAqWXyzFBrh6UxkwJxYOsCG1QwzZ5hfWZOc4us5SN/WawKq9CILgu2cv7ihSf23Ziiydfx/cC/557uGj4+nH554jn7OCqXUecYKE8ABi7mehfF4839tYy0Zss5bHsxT8TMHzyr6DAZMve27ez/QZMJmC5+Z9xwlvewWfapl55WtlfM8r+KRMe7vvvmOam80b3/czf2RaW02wLjsMmGbCu807TKNtGneHd7c2VIvVLfbcux17TZNtwNiLFQbzdLOheUElTYsXXmpp3TPnrnPAPI0B8+2/Mm/0+R1bDJjMGdM+d63tXzFOX7g1gqWleiPzfd95pVrbEQNme7uBWg35M8GKfj5fXaXgZzDgFwq+k192mz8xy+eabOrRS8TNvc7qEtdirZvGa1752TIEc439vvnSASv5mhnM8c9/bwE8Q9Bldr7B7i8yY4evO/UpX9jMzM/59qs8vY1P7tHQyrZmmhNgY28zzzQz58t0NhNXmPbY14k3+4vUNja10tIS3vtsCqagAbv6KpvAm6atDXvuT2KC51sdGptpCh7ZRNtXASb/m+07YZ+5cAB7M6V3+QyAH5wBrLYXcQbM+M/Ml16ndVc4L4LbB9sMd6zrz4STZaa62fMKmTPG6Wb8JrebwsOa8Q+Nd4apL5hCH7PXz0oTTp0WXj28boa11GLvUf02l1WhH0xJxIUXbiWYHd70HoRwhi/TUZ3tq34ar4655TvmzQh2xfpXTN6x7r4AUwBPfdmMJGI52L6HzWn4LwAbnt3O1qf41R1+8J/hqvemuNvEdBnA+5X1y2qVNngwm/rvjQM0wD3gBnegsa5cUwPT92qfEHcAuPERcz80wnuTJSAMeu8ON94Pn719E25ar2+huYEDCYplAF7lR6d5cT8fnLKAErQ8X53pDBqwbm1n+z5Sx8zxhHUZDvSZjm/AOwA/nZ0T7QjsoPkXjBrT80NOJKwSnNxpCGZkq1hdCasETr5+cgXLXX6byyNTj14iqJi1ilBxLSC513IrUJk/h9ec8nXTeC1TPnXI5H7CXx4z/ZfMT45y9y7D/8its+GA+K1Gvr7X7NlBC3jw0a+hEbuBHc9gNwLYzTROs/UFWm3sDv9MO3YTjc1sTcImmltqL2Q3cw+AtgNsfh7A3kQTYDN9j4YguRvZurm6wlM0tYS9eBqxG8PPht07AaaDxzfTuoXWoHgbLa+brZ9CUzXlIT/oXzjMcy+TeYv2w/6Fw+z8U7/QTXveLxygYadx/4wpqJy3OEyqm69vgw9rWyk4rMn8seFjpp6lZ6917rtW7zvG6TNUr4BYP49bHfMg75E8CgW9RFDqEOlYLJkzPd3VKbrmTQE2r3zdNF7Lle827jfJJWJ2zCruor3duAXj5P1CMP/wBMNHrWvV6ebtaS5P8OwX+fiXeDM0b8Gb5M4Mkz9j0sObiB29hjfNzBS3XLhDSxM2tOwilcSzzBsA3HiX2x8yA94dpj3waNjMvSC5Z/jkdrVhU0zfrfbpZ/BmmAHg+k2ApuDz4DaTnzIJwN0b3L1gHR5g6iNSZ0wbACPn5/ytz2/j2vesj1/lWi6Wvsyzz1nJ73H3x7HkVfPvR01xjH96q3olrNmrX+U4+52YfZQtv2NSx8yVs+Res0qnwyufMG8et6QZTlvF+u2/7Hskj0JTIIg8lDErS3WK+YqVPW96rsbcY2YiYQUXod19mO1XKb1gDoxZH3yV3b9r+A+eu2Odr/DZLQDaaN/NzWnT+ZvW9V3+L74W23SUz6B1H17F5F+x/maKze+GveGnW/mL983/JqxhsLfxrTb+4X1moBFmoAF+I0FrEz+/wj145Qi/Pst12NRK48v837tMQwM0bqXlE25BO1wDMIUCo5gO1+ofMEDlVGz2ardvYxUOmn5m/zS/37W63OUuxqLZ1h6FpkAQWf+CgWYzVKC927h58+d/7ffC9l3mX8rwPqW3rI+L1o/ew9wiP8DWfXCDa/9D53N07jK7X4Id5uVugMn3uHvL+rcXuV1N+UzBv/wd3qp+hHxrj/naH4Z99hnYc9jsbWOyzMARtuwzzhEun+U6AHcm+eQDfqsF4B5MvcZuAK6FF8I1Kfjo72ITybAfHV9sBmNme9wLHpeNQidjRR5V8aTFIT+5N+ZWTCppNu8KH+//WzPiQtz8Xh89wJBJjVldrulPWiNt5r0/qHWZLw4A5vg5a7TgD3XDmGWfo9Bnucf8/riVzVplyJeD2xzCcg/63kGr6yRvv2R99yq/fcF85U3SX2ak2Ry/Cn74Qm8TO5n0e87Vpj4uborN1km3odsUuusntTfeEtfJqrt+1pLiA8Eqsu6oRy/ykIbT4e9L05ih+50MqB+eXry6BZe0ZeGZgwVnEeIDhtNWLmFx3MQXvFAwDo4uKvLE0xi9iMjjpzF6ERF5eAp6EZGIU9CLiEScgl5EJOIU9CIiEaegFxGJOAW9iEjEKehFRCJuQ06BYMfs+xcSERFgI/4y9vOmX96uGW3qtaHtvGbW7abW0I2ISMQp6EVEIk5BLyIScQp6EZGIU9CLiEScgl5EJOL09UoRkYhTj15EJOIU9CIiEaegFxGJOAW9iEjEKehFRCJOQS8iEnEKehGRiFPQi4hEnIJeRCTiFPR1KoNdsWyxdr+Yjdl2zLb3D1YeX6OiqnKqyw42b8y252x2WS3agdfI+t+ZFfRVY1k7kSvV7lcG96cpeJ7vub0jyfX43m1s5aulTMHz/GAZSj3u9kSOduC1s/53ZgU9QDFr2+nxfCHv1B4rT5QyPd0A8YO9zulR/aOsqop7xelIPu5WRJl24DWzAXZmBT1Aasjz/Iv99W9VxR13OhLB7Xiyk3FXR7+rqTxRKuUS4dFuduxxNyd6tAOvnQ2wMyvol+BOlO5fSB5WxR3HyZeDQ12340SXRpFXmXbgNbMRduYnNOiL2eqZk6XGLpMdzuJPyEOas83j/Rf9i/3x4Jl4cm9pwn28rYsc7cBrZiPszE9o0KeGqmdOljpxEk92libKwe2KO05nMr52zYuk+29zWUXagaXOExr0DyDR4QyfOFUBKudHSn09CqfVNJat+85fxb0SnjaU1aMdeK1shJ254XE3YN2K918qTMSSdg6cvHtJ/yarqnvIdbuSsRwATr58Udt3tWkHXisbYWfWpQRFRCJOQzciIhGnoBcRiTgFvYhIxCnoRUQiTkEvIhJxCnoRkYhT0IuIRJyCXkQk4hT0IiIRp6AXEYk4Bb2ISMQp6EVEIk5BLyIScQp6EZGIU9CLiEScgl5EJOIU9CIiEaegFxGJOAW9iEjEKejlc1YZ7IrZdt3SdaqyWJlscWV1rqT8MquMZWtt2z+4oGXr0jJ//kNsGXkCKOhlDWQKvueFS6Ez9yfzAzXef9EfSj14fSstv4TKqS47zWzbCntzyY2S9Ysay9qJXOlxt0LWIQW9rLFEh1OacKEy2LU/m91v27FscbYfWhns2j84mA272Nmx2bWK2bDf3TVYqe+3FrOx7OCprtpTgbrDiLpK5imezJEv1z4wUkNuntzJsXmvONtBrgzu7xo8la0dl4xl5x6jLNGYhVXd/89cpmQxm8iVGE7P7bkXs7adHs8X8s6DvxXyxFDQy9qqFEZKTkcSgNIwxz1vXt+8lBt5yfV8zytkhk8EaVkZ3J+m4Hm+5xU6c2/O63QP50Z63eCpRDX9EyO9Zc/zPa+cH08vMZQxNjrs9Kbj9Q/F+y95Q91BFenxfNAM0rVufil3tSeollzSPjd7+2T1JRY2ZomqFvkzayXd+lbPL5kaKucdMoW52y015Hn+xf7kA70J8qRR0MsaGE7PjoMncp2Fi/1hvGZ6uhcWzhwfiAMkO5zSRJngs6FasnvIu9Qfn79CfxzoPpZ3xt0KkBryqy8RT3Yu0669yfjiTxRHT1eb0d2TKY0Uwnh28sdSAPF0rzN7O9lJ8LqLNmapqhb8mRRHTzu9B+NAfOB45vRokaVKiqyMgl7WQP0YfdhlXhmnI7HMc2E3Np7cW5pww0eL4XBHenip9ZIdzhV38RH5ijteu5PoWMFoyILGrKyqUi4x2+zxJRonsmIKetkIHqgnW3GvBDlbzMbs0UPh0M2S0RpPdtb612ENg/vt7Ni844DyxMOc36w2ZmVV1X8iXpx/5CLysBT0su7F073O8GhwxnKRrw+WwhHysZM5etPxoBNdPyi0VNc4dSzP7Eg6UMwmc+SPdQOpnr7hE8Ep1kWG8pexoDErqKq+ZHbDfNdTNgIFvax/8f5LBdLBEP9Ib3neFyudDCfsmG2nx/M/7I8D8f638+PhWYE3Jzqd2njO/HoHLnoFZs8fpK/k3eoJgNRQoTOXtGO2naaw4KzA0hY0ZiVV1ZWsrb5Yu9O9zvxv3Ygsw/J873G3QeShFbOxEx3ldTLKsa4aI1KjHr2ISMSpRy8iEnHq0YuIRJyCXkQk4hT0IiIRp6AXEYk4Bb2ISMQp6EVEIk5BLyIScQp6EZGIU9CLiEScgl5EJOIU9CIiEaegFxGJOAW9iEjEKehFRCJOQS8iEnH/Dw0q5idfp1RwAAAAAElFTkSuQmCC)