rm(list=ls(all=TRUE))
set.seed(060977) # setting a random-number generator seed to make the analyses random, but replicable
# Section 2.1: A small artificial data set ########################################################
## a first (made-up) small data set
P1s <- factor(rep(c("b","a","b","a"), c(1,7,9,3)) ) # predictor 1 small
P2s <- factor(rep(c("e","f","e"), c(6,10,4))) # predictor 2 small
P3s <- factor(rep(c("m","n","m","n"), c(6,4,6,4))) # predictor 3 small
DVs <- factor(rep(c("x","y"), c(10, 10))) # response small
summary((D1 <- data.frame(P1s, P2s, P3s, DVs)))
## P1s P2s P3s DVs
## a:10 e:10 m:12 x:10
## b:10 f:10 n: 8 y:10
ftable(P1s, P2s, P3s, DVs)
## DVs x y
## P1s P2s P3s
## a e m 5 0
## n 0 3
## f m 0 0
## n 2 0
## b e m 1 0
## n 0 1
## f m 0 6
## n 2 0
## if you try to predict DVs from P1s (a -> x, b -> y), you get 70% right
table(P1s, DVs)
## DVs
## P1s x y
## a 7 3
## b 3 7
## if you try to predict DVs from P2s (e -> x, f -> y), you get 60% right
table(P2s, DVs)
## DVs
## P2s x y
## e 6 4
## f 4 6
## if you try to predict DVs from P3s (m -> x, n -> y), you get 50% right, i.e. chance baseline
table(P3s, DVs)
## DVs
## P3s x y
## m 6 6
## n 4 4
## but note: combining the two weak independent variables gives you perfect accuracy:
ftable(P2s, P3s, DVs)
## DVs x y
## P2s P3s
## e m 6 0
## n 0 4
## f m 0 6
## n 4 0
table(P2s:P3s, DVs)
## DVs
## x y
## e:m 6 0
## e:n 0 4
## f:m 0 6
## f:n 4 0
## e+m -> x and e+n -> y
## f+m -> y and f+n -> x
## how do CART approaches handle this data set?
library(tree)
plot(tree.tree <- tree(DVs ~ P1s+P2s+P3s))
text(tree.tree, pretty=0)
![](data:image/png;base64,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)
mean(predict(tree.tree, type="class")==DVs)
## [1] 0.75
detach(package:tree)
library(rpart)
plot(tree.rpart <- rpart(DVs ~ P1s+P2s+P3s), margin=0.1)
text(tree.rpart, all=TRUE, use.n=TRUE)
![](data:image/png;base64,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)
mean(predict(tree.rpart, type="class")==DVs)
## [1] 0.7
detach(package:rpart)
library(party)
plot(tree.party <- ctree(DVs ~ P1s+P2s+P3s))
![](data:image/png;base64,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)
mean(predict(tree.party)==DVs)
## [1] 0.5
detach(package:party)
library(partykit)
plot(tree.partykit <- ctree(DVs ~ P1s+P2s+P3s))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAACQAAAAYACAMAAAAUyIefAAAC+lBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn6AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///8wo9HmAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nOzde5ztdX3f+88ecG8EBSyyFdgciJcoSeSiIRUh1rTR3CRKvDwOgWISNYlgUrSIEU/RpIZwEmtPW+/BYCE1ampPWiU2MVatug8bU2xIbUgQEhM1qdy0ILLZex6PMzNr1uyZ2QtY8/G3wbfr+fyD9Vm/72/WGvcfzuuxfpdV8wAAM6Ye7F8AAOCBJoAAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAAICZI4AAgJkjgACAmSOAYGb9YtUTvr7n6b+q+uX7+5EPTLHPyB/PHTZx+x3Hbbp6uleY7O4rn3P0AQc99uw/2rNp+1nHbD7s5EtvW356Wn3gm3kDYDYIIJhZCwFU/3TP00ED6PbjanIAvbR+ZrrfbrI/P6GWPe9ry5su2jTacMyO0fP/NnfYX38zbwHMBAEEM2sxgOY+vfJ0yAD62tNrcgD9YT38y1P/gnv78tFVR736XW970ZaqZ+1a2nRJ1YHnXfbGk6u23jTa6cV1+jfxFsBsEEAwsxYDaNVBsAED6Prja3IA3fX4et1GfsX1fqrqx+5YHP70iKrfXHqrh9Rh1y087jq/6ozRTn/z0Pr338ybALNAAMHMWgqgPQfBBgug3e86uO4lgN5UD799Y7/kGrdursOXj3x9uOr7Fh9fUvXO0bs+teq60drL6/E7v4l3AWaBAIKZtRBAP7XqINhQAXTNSQv187JHTwqgOx5VP7fhX3Pt2587ng+v/XbNz+88pA5djp33Vl00mv7H8qdDAPdKAMHMWgigf/fiqicuHwTbE0C7fvcnjt5y8He//LqVXW/7lScfeNCJl359VQB95B8/5qEPO+7c6+bXu6jqUe+fP2pSAL296prRdFT95PxfXXDcQQc/+XW3rt3nL85Z4xdWr/3eM77zHeP5iVVfm5/fXvXc5Q03z9WJy+PT6num+hcAZpcAgpm1GEC3H111wejpSgD9+cnLF1rNnX/PaOm/HTna8F1vHu/z1eeM97lg17qXvejAV982PzmATqqjl6eFAPrgoaNX2Hrtmn0+XWs86l5++Tu21MPml5Lq4vGmbbX/8odBl1Z9fLp/A2BWCSCYWYsBNP/7KwfBxgH0l0dVPfrCd7/9zP2rXri08rmHV530G1f8s6Pqocv73LXQSI9+9W+/+xcOrnrJupe99pbF/04KoD+v+tnl8ag68cA68dW/+pNbqp6w5oSdKQNoIcUWr/V6TdXl402nVt04mv6k6rzp/x2AWSSAYGYtBdD8z4wPgo0D6Aeqfuiri8M1W6veujj8YNXLFz/nuf0ZtbzPP6n60aV9vnhCTb7kalIA/cuqy1aWa9PbFofPHlL14Y3/7l9+5OjHXlz1ofG2Z68cYNv98HrMxl8TmCUCCGbWKIBu37Z8EGw5gD5e9Zj/Pdrhj6qOvnt+/jNVJ42Ohf2vw0b7fHlLHXvnaJ/r9q8nT3rxSQH0wpVCWQyg5c9oXlONK+PvfFrVcxaHM6s+Ot74gqqPLY+nVH0ztxsCvv0JIJhZowCav6pqv+3zKwH0yqp/Nd7j+6s+MT9/8fhK86XFxX3eUnXJeJ+nV31hwotPCqDvqk13riyPW+j/rfqFvfa8H19/ZtXjlk6efn7VJ8dbz676yPL40qo/3OiLAjNFAMHMWg6g+Z8eHQRbDqCnVf3P8R6/UnXp/PxCbXxuecN/Gu1zVtX/9YFlP1L1/gkvPimADqyD9yzP3T2aPl718xv8xW9biK6j/mJpPGftJ0CfWB5fu6fZACYRQDCzxgF027aqV60E0GOq7hnv8Z6qV87PH181/uDmz0b7/IO1Jyq/ecKLTwigb9TKRWALy+MW+vSeM6OX3Ndl8CM3Panq2FH/zJ9bddV4++lVn1kef73q/76f//XAbBNAMLPGATT/oaWDYMsB9Mg6YGWP/7gUJ0fXpvGGL432OXFtAF064cUnBNBXq47be3l9AN3vVWCf2lp1wheXn7y26srxwql7Dsa9depvrQdmlACCmbUSQItfsXXcXcsBdOyqT4B+u+oV8/Mn7PkE6KaVw2Q33M+LTwige2rPtVn9APqdA6p++KvjZ1dUvWE8b6st49/8TVW/cT+/IDDbBBDMrD0BdNtRVa9aDqBTqv5svMfrqt44P//DVX+yvOG/jvY5o+qD9/Pik84BOmjPtnsPoPvx5k1V560U2vy1VWcuj7fM7bke7XW+DAO4bwIIZtaeAFo6CHbWKG7OX3UV2GlLpxi/oepfLm/41dE+v1Z7vtProhddfOOEF58UQCdU3bHX8sYC6B1Vc29a9fyerXXE8q2o37d0wtLIz+y5Ih5gEgEEM2tVAM2/aOl402LcfKLqscuZ8rGqw78xP3991eNGx8Du/I7RPn82Vw9dPgv5c3O1/99NePFJAXRm1R/vtbyhAPrU/jV35ZotL1s5CeiUPedAL16//7+mflFgFgkgmFmrA+jWo8YBtHhjnx9buhPiZ49c/jDorKrn3bXw+I0XjPd5YdVxNy0Of/vEe+mXSQH01qp37LW8kQC689iq16/ddP2WesTil4ntvrDqWeONux5W3z3tawIPmj+em/CdgQ8UAQQza3UALd7hZ/xdYIdXHfXaf/euFz1k+W7L8185uurxv/Y7lz6hti7vc/Njqg78+Xdf/opDqh5326QXnxRAn686a6/ljQTQv6ia+5EfXfGVxW2vrzrgvCvfclrVoSsnZv9/SydvA9/abj9u0pcmP1AEEMysNQG0eEvB5UvHbxhf5b7pwuWvKf3rE0YbjvrweJ8vP318mdbf/5uJLz7x2+CfVofvWr+8kQD6nrVXiI0uer9g0+jZEVev7Pe6PcfagG9VX1v4vxEBBDzw1gbQrUeu3Dtn13vO2Lbl7530qpWrwea/8ebTDj7g8Rd85cY999f54FmPOXDztuf8zq7JLz4xgH6r6g/WL28ggHbPTQqg+e3nHLPloJMuvmXPjt9V3zvlSwIPluuPLwEEzIadj62zH4C32VH1ew/A2wB9u991cAkgYFZcVlsegG9pP7uesu/fBPgmXHPSQv287NECCJgNOx9Xr9nnb/JXm+s/7vM3Ab4ZF1U96v2TD5U/UAQQ8AD6w00P+9t9/R4/s3zxGvAt66IDX33bvZwr+EARQMAD6Rf33EN6H/mT/R816c6MwLeQa5euWhBAwMz4+nfN7di37/D9zoCGEAIIAEh38wev2cvn7usHBND8/Cf/LQCQ7NCa4Kr7+OP/bRtAX1n7dPe/vvddf2jb8QBAsIfWkU9Z7+k33Pvf/m/fADrqI6uffeEf3cd7/dClXwQAgh2//suK77cTvl0DqOYuvHvlybsPKQEEAN+2BNDKa1d97/Wj8e/OuO8bXgsgAMgmgMYue3jVQb+5OP2HrQv988L7uP2ZAAKAbAJoxedPW+ie5996+4sWHrbd5505BBAAZBNAe+z61c1VR/8fVZt+7vb73FEAAUA2AbTaZ09cvAvAEz9+P7sJIADIJoBW+8sfXwyg4z51P7sJIADIJoD2uOc3DqrafGTV3C/+7/vcUQABQDYBtOLa762q4z972zkLD9/xB/e1pwACgGwCaOyX9q+au/AbC9MHFi+D/+lb731XAQQA2TYcQA+qfXwjxMd+cjT+3XMXnhxx77sKIADIJoBWXrt+ds+ZP5f7KgwA+DYmgMaOvGr1s7/6hwIIAL5tCaCxm9c+3f3/3PuuAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsGwqg7Wcds/mwky+9bcLSB39i2+aHP+n8GwaLjIkEEAAwgI0E0EWbaskxO9av3HnGaKW2vH3Q0lhPAAEAA9hAAF1SdeB5l73x5KqtN61bWuifh573zjc+cyGBfnvg2FhDAAEAA5g+gK5/SB123cLjrvOrzli79OGqYz+/OLyz6pF3DhsbawggAGAA0wfQS6reuTTsfmrVdWuWfrrqd0fTs6v+04ClsZ4AAgAGMHUA7TykDt05Gt9bddGatWdU/eVouqTqXw9YGusJIABgAFMH0Paq5y6PN8/ViWvWfrzqk6Ppn1S9d7jQ2IsAAgAGMHUAvb3q4vG8rfbfuXrtkqrTdy8Of/336qC/HTI11hFAAMAApg6g11RdPp5Prbpx9drtR1X9wMdv/5t/u/D4bwZNjXUEEAAwgKkD6MVVHxrPz666Zs3iDScs3wfo8e8ftDTWE0AAwACOr9Pftt4VOyf80T+z6qPj+QVVH1u7euOTRwH0/f95n5aHAAIABnB8TTDpPObnr5zoPD9/dtVHVq/tfvV+9R0Xv+eyczZX/dK+LA8BBAAM4Pg6+aXrnX/LhD/656z9BOgTq9deXvV/3rU4/Mm2qnftw/IQQADAAKY+B+jcqqvG8+lVn1m1dG3V99w9Gq/eVEfeM2BqrCOAAIABTB1Ar626cjyfWvWFtUtvHc//qOrTg4XGXgQQADCAqQPoiqo3jOdttWX1xzzPXxU9F1ZdMVho7EUAAQADmDqArq06c3m8Za6evHrp+atOD/qlqvcM1Rl7E0AAwACmDqB7ttYRu0bj+6peuXrpFVW/Np5/tGr7cKWxngACAAYw/bfBv2zlJKBT1p4DPf/hqsfcMRr/x351uJOgAYBvbdMH0PVb6hHXLjzuvrDqWUtbdu7YsWPx6q/dT6n68a8ubvn8d1b9xr6JjiUCCAAYwPQBNP/6qgPOu/Itp1UdesPShi/V8tVgn3tE1aNfdcW7f/7Aqh/ehx8ACSAAYAgbCKD5CzaNbhR9xNWj5ysBNH/dE8c3kf6pr++L4hgTQADAADYSQPPbzzlmy0EnXTy+UfSeAJrfefnpR25+2BNecvXgsbGGAAIABrChAHrQCSAAYAACqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABk21AAbT/rmM2HnXzpbROWvvrrp219yOE/+K57BquMSQQQADCAjQTQRZtqyTE79lr6yJGjpfq+vx2yNNYTQADAADYQQJdUHXjeZW88uWrrTeuW/ssBVT/wpites7XqKTsHro3VBBAAMIDpA+j6h9Rh1y087jq/6oy1S3ccW3NvXxy+8t1V7xw2NtYQQADAAKYPoJeM22b3U6uuW7P0z6t+eTT9UdU/HLA01hNAAMAApg6gnYfUoctHt95bddGatSfUsXeNpt2/8qbfHbA01hNAAMAApg6g7VXPXR5vnqsTVy/996p/Nmxh3BsBBAAMYOoAenvVxeN5W+2/+lTn36r6g/n5G37rV9/62YFLYz0BBAAMYOoAek3V5eP51KobVy29YuHpX/7Q0jXyp/z3YVNjHQEEAAxg6gB6cdWHxvOzq65ZtfS8qqsfsXwfoId/bODYWEMAAQADOL5Oful6598y4Y/+mVUfHc8vqFrdOc+q+o76+7//ta/9/vdWHf7FfVgeAggAGMDxNcF7J/zRf37VJ8fz2VUfWbX0tIUf+bG7F6e7nlF13j4sDwEEAAzg+Dr9betdMelmzues/QToE6uWTql6+M2j8fP71SH78OvABBAAMICpzwE6t+qq8Xx61WdWLf1g1Znj+bSqawcLjb0IIABgAFMH0GurrhzPp1Z9YdXST1T98/H80lWdNDwBBAAMYOoAuqLqDeN5W21ZfZzrwqpfGc8vr/rwYKGxFwEEAAxg6gC6ds9xrlvm6smrl66s+unx/IKqPx0sNPYigACAAUwdQPdsrSN2jcb3Vb1y9dLfzNWjl5d2HVWH3DVka6wlgACAAUz/bfAvWzkJ6JS150DPzz+z6t+MptUfBu0DAggAGMD0AXT9lnrE4gVeuy+setbSlp07duxYuv3Pp+fqoKVTn695RG3eh0fABBAAMITpA2j+9VUHnHflW06rOvSGpQ1fqvHVYL9cNffct135c5urLtk3zTEigACAAWwggOYv2DS6UfQRV4+e7wmg+TceMFqa+/V90Bt7CCAAYAAbCaD57eccs+Wgky4ef1XYqgCav/FVTzr4oO8+938O3RprCSAAYAAbCqAHnQACAAYggBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBLPl+24AAB0WSURBVADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANTxTAAFANAHU8HQBBADRjq9/+mDnxAZ8iwTQwQ85BAAItql+7sHOiQ34Vgmgbc8GAILtJ4A2TgABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACDbhgJo+1nHbD7s5Etvu7f111V9bojAuFcCCAAYwEYC6KJNteSYHZPXd+wvgACAABsIoEuqDjzvsjeeXLX1pknrdz6hBBAAEGD6ALr+IXXYdQuPu86vOmPSDi8rAQQAJJg+gF5S9c6lYfdTq67be/2qqkMFEAAQYOoA2nlIHbpzNL636qK91r9yRD37hQIIAAgwdQBtr3ru8njzXJ241/rz6pFfFkAAQIKpA+jtVReP5221/851y5dXvX9eAAEACaYOoNdUXT6eT626ce3qTQfXWfMCCACIMHUAvbjqQ+P52VXXrFnc9Q9q260CCADIsF8d/pT1nn7DhD/6Z1Z9dDy/oOpjaxZ/rTb9wbwAAgAy7FcTXDXhj/7zqz45ns+u+sjqtc9urvMWHwUQAJBgv/qJa9abGDHnrP0E6BOrlu56Un3nHYuDAAIAEkx9DtC5qz4YOr3qM6uWXlH7bV8aBBAAkGDqAHpt1ZXj+dSqL+xZ+eimeu1oEkAAQIKpA+iKqjeM52215Z49Kz+77gyijw6cG6sIIABgAFMH0LVVZy6Pt8zVk1etCCAAIMvUAXTP1jpi12h8X9UrV62859yxx1f95LnnXj94cKwQQADAAKb/NviXrZwEdMrac6D3cA4QAJBg+gC6fks94tqFx90XVj1racvOHTt23L16FwEEACSYPoDmX191wHlXvuW0qkNHt4r+Uq25GkwAAQAZNhBA8xdsGp3lfMTVo+cCCACItJEAmt9+zjFbDjrp4luWnwogACDShgLoQSeAAIABCKAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkG1DAbT9rGM2H3bypbftvXL3lc85+oCDHnv2Hw1XGZMIIABgABsJoIs21ZJjdqxf+fMTatnzvjZoaqwjgACAAWwggC6pOvC8y954ctXWm9aufPnoqqNe/a63vWhL1bN2DZ0bqwggAGAA0wfQ9Q+pw65beNx1ftUZa5d+qurH7lgc/vSIqt8cNjbWEEAAwACmD6CXVL1zadj91KrrVq/curkOXz7y9eGq7xsyNdYRQADAAKYOoJ2H1KE7R+N7qy5avfSBqnPH8+G13z48BiaAAIABTB1A26ueuzzePFcnrl76vWd85zvG8xOr9uFp0AIIABjA1AH09qqLx/O22n/n5L3u2FIPGyIx7oUAAgAGMHUAvabq8vF8atWNk/d6c9XpAxTGvRFAAMAApg6gF1d9aDw/u+qaiTt9+ZFVHx6kMSYTQADAAParvR109YQ/+mdWfXQ8v6DqY5PC4M6nVT1nX1XHIgEEAAxg6gB6ftUnx/PZVR+ZsMvXn1n1uFv3XXcIIABgEFMfAjtn7SdAn9h7j9ueXnXUXwzUGJMJIABgAFMH0LlVV43n06s+s9cONz2p6th92z8CCAAYwtQB9NqqK8fzqVVfWL/+qa1VJ3xxuMiYSAABAAOYOoCuqHrDeN5WW+5Zt/w7B1T98FcHjIyJBBAAMICpA+jaqjOXx1vm6snrVt+8qeq89VE0PAEEAAxg6gC6Z2sdsfwtX++reuXaxXdUzb1p2MiYSAABAAOY/tvgX7ZyEtAp68+B/tT+NXflhB8ZnAACAAYwfQBdv6Uece3C4+4Lq561tGXnjh077l54vPPYqtfvq9hYQwABAAOYPoDmX191wHlXvuW0qkNvWNrwpRpdDfYvquZ+5EdXfGVfdYcAAgAGsYEAmr9g0+hO0Ucs3yl6HEDfs/ZG0ntdIT8cAQQADGAjATS//Zxjthx00sW3LD9dDqDdcwIIAEiyoQB60AkgAGAAAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAACCbAGoQQACQTQA1CCAAyCaAGgQQAGQTQA0CCACyCaAGAQQA2QRQgwACgGwCqEEAAUA2AdQggAAgmwBqEEAAkE0ANQggAMgmgBoEEABkE0ANAggAsgmgBgEEANkEUIMAAoBsAqhBAAFANgHUIIAAIJsAahBAAJBNADUIIADIJoAaBBAAZBNADQIIALIJoAYBBADZBFCDAAKAbAKoQQABQDYB1CCAAPj/27ubUEvnOIDjv3sbxkuNYYpkMmQlFgxCIxYkC8prCJOiKWwkeRmFhTQLW5GUMhu2jI1JkhpvsVAYyetCyRCxmZeFe2fmDKYznPO795zr5/f5bJ7/ffp1+t/V8+25z3kutQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoAQBBAC1CaAEAQQAtQmgBAEEALUJoIEHPxt5VAABQG0C6MBnx7rnfhltVAABQG0C6MBnzznqtjf2jDAqgACgNgE08NqNR8w30KmPff2vowIIAGoTQH/6+ZkL5xNo5tLNv//zoAACgNrGCqBtt6w5fNV5m35eWGcswMS/BbZ948nzDXTMhm3/NCWAAKC2cQJo40zstea9BYdG0hS+Br/79fXHzv+Sp2/6/pAzAggAahsjgJ6MOOqe5586L+L4rxalNcY3nfcA7dy6YdlcAi277q1DDAggAKht9ADaflis+njuuPveiGsWKTXGNZUA+vXlm1bsu9UVV3w3dEIAAUBtowfQnRHP7V3suSDi40WKjTFNPoB2bbnpyPn0Wf3Iq7cfPXf4ZtiQAAKA2kYOoJ3HxMqd+5YvRWxcrOAYz6QD6MN7T5ivn8Ov27J77qefro+4ddiYAAKA2kYOoG0RV+9f/jgbZy1OcIxrogH03aYz9/7d68ynfth/5veVccKwSQEEALWNHEDPRjw6WK+OZTsX3BsZkwygy2bn62fFhnf+cu78OHLYqAACgNpGDqCHI14YrNdFfLmQ1kib8L/CmLnkhd/+du6UOHfYqAACgNpGDqA7IrYM1ldGvL+A1MibaACd9NDnB5/b+unQd0KvOG4tAFDYbFz7/sE+GXbRvznijcH6hog3Fy08xjHJAHpl18ijg2/JAwD/I68NuehfH/H2YH1rxNbFaI6xTedFiP/qtFkAoLKZmTPOOdjFXwy56K//+x2gQ70kebL+IwEEADRx919uDF0V8cGSbEIAAQDT9EjE5sF6XcS3S7IJAQQATNOLEU8M1qtj+ehPDC8mAQQATNNHETfvX+6YjbVLswkBBABM067j48Td+5YvR9y3NJsQQADAVN114CGgC5fqGWgBBABM1/blcexHc8c9D0RcvkR7EEAAwHQ9HnHEPZufvihi5bAXBU2DAAIApuz+mX0vij7x3aXagQACAKZt2/o1y48++9EdS7YBAQQAtCOAAIB2BBAA0I4AAgDaEUAAQDsCCABoRwABAO0IIACgHQEEALQjgACAdgQQANCOAAIA2hFAAEA7AggAaEcAAQDtCCAAoB0BBAC0I4AAgHYEEADQjgACANoRQABAOwIIAGhHAAEA7QggAKAdAQQAtCOAAIB2BBAA0I4AAgDaEUAAQDsCCABoRwABAO0IIACgHQEEALQjgACAdgQQANCOAAIA2hFAAEA7AggAaEcAAQDtCCAAoB0BBAC0I4AAgHYEEADQjgACANoRQABAOwIIAGhHAAEA7QggAKAdAQQAtCOAAIB2BBAA0I4AAgDaEUAAQDsCCABoRwABAO0IIACgHQEEALQjgACAdgQQANCOAAIA2hFAAEA7AggAaEcAAQDtCCAAoB0BBAC0I4AAgHYEEADQjgACANoRQABAOwIIAGhHAAEA7QggAKAdAQQAtCOAAIB2BBAA0I4AAgDaEUAAQDsCCABoRwABAO0IIACgHQEEALQjgACAdgQQANCOAAIA2hFAAEA7AggAaEcAAQDtCCAAoB0BBAC0I4AAgHYEEADQjgACANoRQABAOwIIAGhHAAEA7QggAKAdAQQAtCOAAIB2BBAA0I4AAgDaEUAAQDsCCABoRwABAO0IIACgnT8AFBRTEmTboowAAAAASUVORK5CYII=)
mean(predict(tree.partykit)==DVs)
## [1] 0.5
detach(package:partykit)
# Section 2.2: The large version of the artificial data set #######################################
## a second (made-up) larger data set
P1l <- rep(P1s, 10) # predictor 1 large
P2l <- rep(P2s, 10) # predictor 2 large
P3l <- rep(P3s, 10) # predictor 3 large
DVl <- rep(DVs, 10) # response large
summary(D2 <- data.frame(P1l, P2l, P3l, DVl))
## P1l P2l P3l DVl
## a:100 e:100 m:120 x:100
## b:100 f:100 n: 80 y:100
## how do CART approaches handle this data set?
library(tree)
plot(tree.tree <- tree(DVl ~ P1l+P2l+P3l))
text(tree.tree, pretty=0)
![](data:image/png;base64,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)
mean(predict(tree.tree, type="class")==DVs)
## [1] 1
### but does this go away when we prune the tree using misclassifications?
pruning <- cv.tree(tree.tree, FUN=prune.misclass)
plot(pruning$size, pruning$dev, type="b"); grid()
![](data:image/png;base64,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)
cart.1.pruned <- tree::prune.tree(tree.tree, best=4)
plot(cart.1.pruned)
text(cart.1.pruned, pretty=0, all=TRUE)
![](data:image/png;base64,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)
mean(predict(cart.1.pruned, type="class")==DVl)
## [1] 0.85
### but does this go away when we prune the tree using deviance?
pruning <- cv.tree(tree.tree)
plot(pruning$size, pruning$dev, type="b"); grid()
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAACQAAAAYACAMAAAAUyIefAAADAFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+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////isF19AAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nOzdeXyc5X3v/d/I+75iMLYBs0NYjFmDw5YQCKAQSCLOKUQnPEmqtFl0mgONWmgfJbQlpj1N3NPT5CgJT6pXIKdVSGgMIRACZgcDZpPBAbwAjm1IMV6CFyykeTTyNmPL9sz1vee+r2uuz/sPRlKse65OwfOTNL+PLA8AABAZy/oAAAAAaWMAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0WEAAgAA0fF6AHr9uhYAAIAbNiQ8Y3g9AH3dAAAAzP494RnD6wHoa1Y/GwAAxO4k+3HCM4bnA9C3sz4CAADI3GcYgAAAQGwYgNwtX5ncteLTvWx11kcI2eYlf8j6CCFbv+S9rI8QsreXdWd9hJCt/F3WJwhZz2u/T+5iDEDOujtfTOxaEdrQuSTrI4RsdeeKrI8QshWd72R9hJAt7tyY9RFC9mJnT9ZHCNjmzleSuxgDkDMGIAkDkIQBSLKik+8/ChiAJAsZgAQMQO6SHIB6Fr2a2LUi9N7C5VkfIWTrO/8z6yOE7Ped/ARR8MbCLVkfIWSv/DbrE4Ts/RdfS+5iDEDuuvk5uOJ9vgpSdGV9gLDx8Cl63s/6BEHjmUOS5DMHAxAAAIgOAxAAAIgOAxAAAIgOA5A7OkAKOkASOkASOkASOkASOkAKOkDuWIP3BmvwEtbgJXSAJKzBS+gAKViDd8cA5A0GIAkDkIQOkIQBSEIHSMEA5I4OkDfoAEnoAEnoAEnoAEnoACnoALmjA+QPOkASQjYSHj4FHSAJzxwSOkDO2AIDAAAMQAAAIEIMQAAAIDoMQO7oACnoAEnoAEnoAEnoAEnoACnoALljDd4brMFLWIOX0AGSsAYvoQOkYA3eHQOQNxiAJAxAEjpAEgYgCR0gBQOQOzpA3qADJKEDJKEDJKEDJKEDpKAD5I4OkD/oAEkI2Uh4+BR0gCQ8c0joADljCwwAADAAAQCACDEAAQCA6DAAuaMDpKADJKEDJKEDJKEDJKEDpKAD5I41eG+wBi9hDV5CB0jCGryEDpCCNXh3DEDeYACSMABJ6ABJGIAkdIAUDEDu6AB5gw6QhA6QhA6QhA6QhA6Qgg6QOzpA/qADJCFkI+HhU9ABkvDMIaED5IwtMAAAwAAEAAAixAAEAACiwwDk6IVrT/r2Daddvzihy8WHDpCEDpCEDpCEDpCEDpCCDpC7pAagDZ+vs6Gd880GXcM6hBvW4CWswUvoAElYg5fQAVKwBu8uoQFo3Sk29KuPdi6873MD7aObk7hifBiAJAxAEjpAEgYgCR0gBQOQu4QGoHo74rdbO0BPHWhNSVwxPnSAJHSAJHSAJHSAJHSAFHSA3CUzAP3CJhb+X9BXc3h+eG5+ApeMEB0gCSEbCQ+fgg6QhA6QhA6Qs2QGoPPsf+9853q7MoFLAgCAFDEAVW7dwCHrdr63zMbyrQwAAMLCAFS5Tjuu+N2JluBWHgAASAEDUOWesNP7bpev7Ls5xJbp14wPHSAJHSAJHSAJHSAJHSAFHSB3iQxAr9nkwk1354uFm81Dcpv0a8aHNXgJa/ASOkAS1uAldIAUrMG7S2QA6plqT+V3DEBz7WT9khFiAJIwAEnoAEkYgCR0gBQMQO6S2QK71i7p/WdfByjfdYr9YwKXjA8dIAkdIAkdIAkdIAkdIAUdIHfJDEC/H2PfzG+tOfR8yQ7iiyEndIAkhGwkPHwKOkASOkASOkDOEipB31FnV/W9ju3VS2zI40lcEQAApIgByMltI2zgOX/8uTPqbMJ9iVwQAACkiAHIzZIrh1iv4V9cmcz1AABAihiAXK375f333sPLf5zRAZLQAZLQAZLQAZLQAVLQAXKX4AC0fQ1+pxd+wct6y8cavIQ1eAkdIAlr8BI6QArW4N1VdQA61c55ObGr1zwGIAkDkIQOkIQBSEIHSMEA5C7JAWhrB6jInfvb0L+lj1EmOkASOkASOkASOkASOkAKOkDukhyAdq85rGnK2XFsxZeJDpCEkI2Eh09BB0hCB0hCB8hZogNQPx462nJN66t6FwAAQMYAlKxNrYPtwJ9V9z4AAICIAShpz59uVs+aIwAAPmMAcre8/whid9soG9vGC1z2gQ6QhA6QhA6QhA6QhA6Qgg6Qu6quwe/wu8vMzlqU2B3VJtbgJazBS+gASViDl9ABUrAG7y6dASif75hkQ1v5GnNvGIAkDEASOkASBiAJHSAFA5C7qnaAir3TlLMTnkjsvmoQHSAJHSAJHSAJHSAJHSAFHSB31e0AlXjgKKtjI34v6ABJCNlIePgUdIAkdIAkdICcpbAFtsPG1kE25fbU7g4AAJSNAaiKnjvVrOGtFO8QAACUhQGomrrmjLRxbMQDAOAbBiB3e+gAlVh6odk5vOStH3SAJHSAJHSAJHSAJHSAFHSA3KW1Bl+kYz8b1srOxG5Yg5ewBi+hAyRhDV5CB0jBGry7DAag/DtNZic+mdjd1goGIAkDkIQOkIQBSEIHSMEA5C61DlCJeUfYwGZ+YlGKDpCEDpCEDpCEDpCEDpCCDpC7FDtAxTa2DLDpdyd3zzWBDpCEkI2Eh09BB0hCB0hCB8hZyltgOz17illDgq/dAgAAAgaglHTNGWHj2jK6cwAAUIIBKDVLPmp2boIv3wIAAK4YgNyV0wEq0THRhs3mp+db0QGS0AGS0AGS0AGS0AFS0AFyl8UafJG3Gs1mPJXYCYLGGryENXgJHSAJa/ASOkAK1uDdZTwA5fO/PNgGNr+b2BkCxgAkYQCS0AGSMABJ6AApGIDcZdMBKrahZYAd+uvEDhEuOkASOkASOkASOkASOkAKOkDuMuoAlXjmZLMGnr3oAGkI2Uh4+BR0gCR0gCR0gJxluQW2Q2EjflJ71qcAACBiDEBZWHy+2cUJfh8PAABUhAEoEz3tE2w4G/EAAGSEAchdxR2gYm82mp30dGJnCQ8dIAkdIAkdIAkdIAkdIAUdIHeZr8EXufOgqDfiWYOXsAYvoQMkYQ1eQgdIwRq8O58GoL6N+MPuTeYw4WEAkjAASegASRiAJHSAFAxA7rLvAJV47AOWa3w7icOEhw6QhA6QhA6QhA6QhA6Qgg6QOx86QMW2zB5q+0e6EU8HSELIRsLDp6ADJKEDJKED5MyXLbCdXv2w2SWvZ30KAADiwgCUtZ728WzEAwCQLgag7K1qNPvgwqxPAQBARBiA3EkdoBJzp9mglk1JXS0MdIAkdIAkdIAkdIAkdIAUdIDcebUGX2Rtc50dfl9ilwsBa/AS1uAldIAkrMFL6AApWIN35+sAlM8/eqzlGmP6nggDkIQBSEIHSMIAJKEDpGAAcudZB6jYltlD7ICINuLpAEnoAEnoAEnoAEnoACnoALnzrQNU4pXzzOrfSPaaHqMDJCFkI+HhU9ABktABktABcublFtgOPW2jbcwc/uMAAKDaGIC8svJTZmcm+dIiAADQDwYgz8ydaoNaNmd9CgAAahsDkLvkOkDFChvxR9xfjSv7hQ6QhA6QhA6QhA6QhA6Qgg6QO3/X4Is8fIzlmtZV59r+YA1ewhq8hA6QhDV4CR0gBWvw7oIYgPo24iffVqWL+4IBSMIAJKEDJGEAktABUjAAufO4A1Si8wyz+tru5NABktABktABktABktABUtABcud1B6hYT9uoWt+IpwMkIWQj4eFT0AGS0AGS0AFy5v8W2A4rPmn2oZeyPgUAADWJAchfc6ewEQ8AQFUwAHlsTVPOjns861MAAFB7GIDcVacDVOKhoy3XtL7qd5MFOkASOkASOkASOkASOkAKOkDuwliDL7KpdbAd+LPq30/6WIOXsAYvoQMkYQ1eQgdIwRq8u+AGoHz+hdPN6mvwKwYGIAkDkIQOkIQBSEIHSMEA5C6UDlCx7rZRNrat5v6LoQMkoQMkoQMkoQMkoQOkoAPkLpgOUInfXWZ21qKU7iw1dIAkhGwkPHwKOkASOkASOkDOwtoC26ljkg1t5WWbAAAkhAEoDO805ez4J7I+BQAANYIBKBQPHmV1NboRDwBA2hiA3KXQASq2sXWwTbk91busJjpAEjpAEjpAEjpAEjpACjpA7gJcgy/y/GlmDW+lfKfVwhq8hDV4CR0gCWvwEjpACtbg3YU9AOW75oy0cTWyEc8AJGEAktABkjAASegAKRiA3IXYASqx9EKzs2uiIkEHSEIHSEIHSEIHSEIHSEEHyF2YHaASHfvZsJrYiKcDJCFkI+HhU9ABktABktABchbwFtgOhY34E+ZnfQoAAELGABSgeUfYwGa+hQ8AgDMGoBBtbBlg0+/O+hQAAASLAchdyh2gEs+eYtaQYA4hfXSAJHSAJHSAJHSAJHSAFHSA3AW+Bl+ka86IsDfiWYOXsAYvoQMkYQ1eQgdIwRq8u9oZgPL5JR81OzfBfxVSxgAkYQCS0AGSMABJ6AApGIDcBd8BKtEx0YbNDnUhlQ6QhA6QhA6QhA6QhA6Qgg6QuxroABV7q9FsxlNZn8IRHSAJIRsJD5+CDpAk+2eOoNEBclYjW2A73XWwDWx+N+tTAAAQGAagwG1oGWCH/jrrUwAAEBYGoOA9c7JZAy8IAQCgAgxA7rLsABUrbMRPas/6FJWiAyShAyShAyShAyShA6SgA+Sultbgiyw+3+yiBF8anwbW4CWswUvoAElYg5fQAVJEvgbftezpB+97eMFypz2EGh2A8j3tE2x4WBvxDEASBiAJHSAJA5CEDpAi5gGo8/oZA22rITOveabiz6+tDlCxNxvNTno661NUgA6QhA6QhA6QhA6QhA6QIt4O0LLLrdTHllZ4hRrrAJW486CwNuLpAEkI2Uh4+BR0gCSePXOEJtYO0PyJvTNP3dRZH7+i8YpLZ02t631vXIUVwFrcAtuhsBF/2L1ZnwIAgAAENACtmWZ2RsfO1y6u7jjDbHJlr2Ws6QEon3/sA5ZrfDvrUwAA4L2ABqAbzb5W+r2vnmvNvlnRNWp8AMpvmT3U9g9uIx4AgLQFNACdYqfu+qPTnlk2s6Jr1GQHqMSrHza75PWsT1EGOkASOkASOkASOkASOkCKWDtA4/oZXr5royq6Rq2uwRcJZSOeNXgJa/ASOkAS1uAldIAUsa7BD7If7faxW2xoRdeIYADK51c1mn1wYdan2BcGIAkDkIQOkIQBSEIHSBHrADTNvrrbx75i0yu6Ru12gErcMc0GtWzK+hR7RwdIQgdIQgdIQgdIQgdIEWsH6Cobvuu3XJ4daldXdI1a7gAVW9dcZ4ffl/Up9o4OkISQjYSHT0EHSOLxM0cIIu0APZ6zCT8s/nur+9ZxlnuiomvU+hbYTo8ey0Y8AAB7EtAAlL/OzMZe/o32u+Y9Ou9Xt9545eTe979e2SXiGYDyW2YPsQPYiAcAoD8hDUD5bw3a5VdhDLmhwitENADl86+cZ1b/RtanAADAQ0ENQPmXvzC6aPyZ9KWKXw1e+x2gYj3t4230HE9/3kwHSEIHSEIHSEIHSEIHSBFrB6hP1xPfv+4LVzZ89st/dctzDi/Ei2INvsjKT5ud6ecxWYOXsAYvoQMkYQ1eQgdIEesafBJiG4Dy+blTbVDL5qxP0Q8GIAkDkIQOkIQBSEIHSMEA5C6SDlCxtc11dsT9WZ9id3SAJHSAJHSAJHSAJHSAFLF2gIq9fPPfzf7xsso/L5YOUImHj7Fco39f8NIBkhCykfDwKegASUJ55vBUpB2g73znF9vemn/m1ldBf/jJSq8R1RbYDoWN+Mk/zfoUAAD4I6AByOySrW/8ZPD2PbAB/1ThNeIcgPL5zjPM6vmREwAA2wQ4AD3RO/8Mu+z6b3z+4N4R6AeVXSPWASjf0zbaxvi6EQ8AQNoCHIBON7vgzcIb77cNs5GVFRXi6gCVWPFJsw+9lPUpdqIDJKEDJKEDJKEDJKEDpIi1A7RtAHrJ7MTtv+j8F2atFV0jvjX4InOn+LQRzxq8hDV4CR0gCWvwEjpAiljX4LcNQDeb3bbjY/V2yp4/Ye29u7n84B9tKPxPPe/+Qb4tDEBJXCe92zXNg0/9r09mf46+29WFAciDcwR6u7JvAMr+HIHevt65yotzBHq7uPNtL84R6O3Czj94cY4wb3sHoOSud/0JoQ1AN5ntLKB8zybu+RM+bbv7887OtflCBkS/XbPo1USuk+bt/N7b/7ku+3MUbgsdIB/OEertck/OwW18t696co5Ab1950Y9zhHn7/ouvJXm9/8gnq9oD0PfMdv4Y599t0J4/4afn72bUFT97rfDD/42vLdNvu7uTuU6at0vv+99TDvxZ9ufovd3Y48HjEe7tMk/OEejtUk/OEebthmV+nCPQ2+53/ThHoLfv9yR3vTu/83/zyar2APS02cs7PvY3tn9F15hpn0j2UOF54XSzel6EBwCIW1CvATp9ceG1Y8fYDds/tPEQu7CiazAA9X750TbKxrIRDwCIWlADkNnY8679yU02Yts29/pLzb5X0TUYgApWXGZ21qKsTwEAQHYCGoByO1/KPKGwwvHkNZPMple2jpnoABRWB6hExyQb2vpepkegAyShAyShAyShAyShA6SItQO0/uF//vzJQ7dOQG/3vn9t7+3oCn8bWJIDUHAdoGJrmnJ2/BNZnoAOkIQOkIQOkIQOkIQOkCLWDlCfrs4fX3P+fqMLb95kdvILFX46A9AODx5ldU3rs7t/BiAJA5BkRSfffxQwAEkWMgAJoh6AtuoLAT1w3QMV/2uU5ADUs+jVxK6VhY2tg+3A2zO7+/cW8stZBes7/3Pffwh78vtOfoIoeGPhlqyPELJXfpv1CUL2/ouvJXexMAcgZ4m+Bqg79J+DP3+aWcNbWd37+3wVpOjK+gBh4+FT9Lyf9QmCFvwzR7aSfOZgAIpZd9tIG9vGIAIAiE5oA1B36Xeu315e2c9RGIB2sfRCs7P5hiwAIDZBDUDdN582wEZees/Oj1xild0dA9BuOvazYRlvxAMAkLaQBqA/XLgtA3TZ2u0fynQACrgDVOydppydMD/1u6UDJKEDJKEDJKEDJKEDpIi1A5T/VO/sM+noIb3/PHz7BnWWA1Dga/BFHjjS6prSfj5lDV7CGryEDpCENXgJHSBFrGvw95lN+XXvE+d3J/S+se3JkwEoERtbBtj0u9O9TwYgCQOQhA6QhAFIQgdIEesA9BkbuvX3V715ptkhW3/8lOUAFHoHqMRzp5g1JPidxX2jAyShAyShAyShAyShA6SItQN0qH1u21sbLzCb0fcXWKavAaqpmkPXnJE2LtWNeDpAEkI2Eh4+BR0gSU09c6Qv0g7QMPv+9jc3nW12UeG/QbbAkrOkd6w85+WsTwEAQBoCGoCG2L/ueHvtcWZfzTMAJatjog2bzdd2AIAIBDQATbG/2PnOa5PM/okBKGGrm8xOfCrrUwAAUHUBDUCfsKkbdr732BCr+wkdoKTddbANbE7l9aF0gCR0gCR0gCR0gCR0gBSxdoBuMasv+kv/33JWd8PFrMEnbEPLADv0nn3/Of2OWINXsAYvoQMkYQ1eQgdIEesa/JYTzfb78g92vP8vZlbHAJS4Z042a6j+jjUDkIQBSEIHSMIAJKEDpIh1AMq/Mq135Dlq5/v/Z0Dh92JUdAk6QGXomjPCxrdV+17oAEnoAEnoAEnoAEnoACli7QDl829ePdjOK3r/kYOzHIBquOaw+HyzixL8t6xfdIAkhGwkPHwKOkCS2n3mSEWkHaCCNbffUfzuxu8cV1fR57MFVp6e9gk2nI14AEDNCmwA2l1lszQDULnebDQ76emsTwEAQHUEPwBVhgGofL88yAY2v5v1KQAAqAYGIHe12AEqVtiIP+zeal2dDpCEDpCEDpCEDpCEDpAi1g5QEliDr8iCmZZrfLs612YNXsIavIQOkIQ1eAkdIEW0a/AJYACqzJbZQ23/9qpcmgFIwgAkoQMkYQCS0AFSMAC5owNUqVc/Ynbx61W4MB0gCR0gCR0gCR0gCR0gRbwdIB0doIpVbSOeDpCEkI2Eh09BB0gSxzNH1UTcAVKxBeZgVaPZzAVZnwIAgAQxAGHf7phmg1o2ZX0KAAASwwCEMqxrrrPDf5P1KQAASAoDkLta7wCVePQDCW/E0wGS0AGS0AGS0AGS0AFS0AFyxxq8sy2zh9gBCW7EswYvYQ1eQgdIwhq8hA6QgjV4dwxAglfOM6t/I6mrMQBJGIAkdIAkDEASOkAKBiB3dIAUPe3jbfSchL75TQdIQgdIQgdIQgdIQgdIQQfIHR0gzcpPm525MJlr0QGSELKR8PAp6ABJInzmSBIdIGdsganmTrVBLZuzPgUAABoGIFRmbXOdHXF/1qcAAEDCAIRKPXyM5Rp5DSkAIGQMQO6i6gAVK2zET/6peBE6QBI6QBI6QBI6QBI6QAo6QO5Yg09G5wfN6rUtLtbgJazBS+gASViDl9ABUrAG744BKCE9baNtjLQRzwAkYQCS0AGSMABJ6AApGIDc0QFKzMpPms16yf3z6QBJ6ABJ6ABJ6ABJ6AAp6AC5owOUoLlTpI14OkASQjYSHj4FHSBJ7M8cIjpAztgCS9Ka5jo77rGsTwEAQOUYgCB46GjLNa3L+hQAAFSKAQiKTa2DbfLPsj4FAAAVYgByF20HqMQLp5vVO3Qt6ABJ6ABJ6ABJ6ABJ6AAp6AC5Yw0+ed1to2xs5RvxrMFLWIOX0AGSsAYvoQOkYA3eHQNQNay43OysRRV+EgOQhAFIQgdIwgAkoQOkYAByRweoOjom2dDWyn6oQAdIQgdIQgdIQgdIQgdIQQfIHR2gKlnTlLPjn6joU+gASQjZSHj4FHSAJDxzSOgAOWMLrGoePMrqmtZnfQoAAMrCAISEbGwdbAf+POtTAABQDgYgJOb508wa3sr6FAAA7BsDkDs6QLvqbhtpY9vK+wktHSAJHSAJHSAJHSAJHSAFHSB3rMFX2bILzc4ua8eBNXgJa/ASOkAS1uAldIAUrMG7YwCquo79bFg5G/EMQBIGIAkdIAkDkIQOkIIByB0doOp7pylnJ8zf5x+jAyShAyShAyShAyShA6SgA+SODlAaHjjS6pr2+QRDB0hCyEbCw6egAyThmUNCB8gZW2Cp2Ngy0A65O+tTAACwRwxAqIbnTjVrSPDF+gAAJIoBCFXRNWekjStzIx4AgLQxALmjA7RXSy8wO+flPf7PdIAkdIAkdIAkdIAkdIAUdIDcsQafpo6JNmz2nl5tyhq8hDV4CR0gCWvwEjpACtbg3TEApWp1k9mJT/b/vzEASRiAJHSAJAxAEjpACgYgd3SAUnbXwTawud8f1tABktABktABktABktABUtABckcHKG0bWgbY9Hv6+1/oAEkI2Uh4+BR0gCQ8c0joADljCyx9z55s1sC3KwAAXmEAQrV1zRlh49uyPgUAAEUYgFB9S843uyjBH9wCACBiAHJHB6hsPe0TbfjskhcO0AGS0AGS0AGS0AGS0AFS0AFyxxp8Vt5sNJvxdNEHWIOXsAYvoQMkYQ1eQgdIwRq8Owag7PzyIBvY/O6OdxmAJAxAEjpAEgYgCR0gBQOQOzpAGSpsxB967/b36ABJ6ABJ6ABJ6ABJ6AAp6AC5owOUqQUzLde4/YmbDpCEkI2Eh09BB0jCM4eEDpAztsCytWX2UNu/PetTAADAAIRULf6I2cWvZ30KAEDsGICQrp72CbtuxAMAkDYGIHd0gNysajSbuYAOkIQOkIQOkIQOkIQOkIIOkDvW4L1wxzQb9D9Zg1ewBi+hAyRhDV5CB0jBGrw7BiA/rGsecEha9xQAACAASURBVFLngqxPETIGIAkdIAkDkIQOkIIByB0dIF88eu4z32p8O+tThIsOkIQOkIQOkIQOkIIOkDs6QN7Y8u0RdgAb8c4I2Uh4+BR0gCQ8c0joADljC8wjr55nVv9G1qcAAESJAQiZ6Wkfb6Pn8MUkACB9DEDI0MpPm525MOtTAADiwwDkjg6QYlsHaO5UG9SyOevDhIcOkIQOkIQOkIQOkIIOkDvW4L2xYVsHaG1znR1+f8aHCQ9r8BI6QBLW4CV0gBSswbtjAPLGhh0hxEeOtVwjWZbKMABJ6ABJGIAkdIAUDEDu6AB5472Fy7e/uWX2EJv80ywPEx46QBI6QBI6QBI6QAo6QO7oAPmjuObwyrlm9cv3/GexG0I2Eh4+BR0gCc8cEjpAztgC81RP22gbM4e/FwAAKWEAgh9WfspsFq+qAgCkgwEIvpg7hY14AEBKGIDc0QFSbOsAFVvTXGdHzMvgLAGiAyShAyShAyShA6SgA+SONXhv7FyDL/LQ0ZZrWpf+YcLDGryEDpCENXgJHSAFa/DuGIC80e8AlN/UOtgm35b6YcLDACShAyRhAJLQAVIwALmjA+SNog5QiRfOMKvnW8T7QgdIQgdIQgdIQgdIQQfIHR0gf+yp5tDdNsrGshG/L4RsJDx8CjpAEp45JHSAnLEFFoIVl5udtSjrUwAAahkDEDw0d4oNbWVPBwBQNQxA8NGappwd/3jWpwAA1CwGIHd0gBT9dIBKPHiU1TWtT+kw4aEDJKEDJKEDJKEDpKAD5I41eG/0vwZfZGPrYDvw5+kcJjyswUvoAElYg5fQAVKwBu+OAcgb+xyA8vnnT2Mjfk8YgCR0gCQMQBI6QAoGIHd0gLyxpw5Qse62kTa2jb8s+kEHSEIHSEIHSEIHSEEHyB0dIH+UVXNYdqHZ2fx10Q9CNhIePgUdIAnPHBI6QM7YAgtOx342jI14AEDCGIDguXeacnbC/KxPAQCoLQxA8N4DR1pdE6/ZAAAkiAHIHR0gxb46QMU2tg6yQ+6u4mHCQwdIQgdIQgdIQgdIQQfIHWvw3ihjDb7Ic6eaNST4733wWIOX0AGSsAYvoQOkYA3eHQOQNyobgPJdc0baODbid2AAktABkjAASegAKRiA3NEB8kY5HaASSy8wO+fl6hwmPHSAJHSAJHSAJHSAFHSA3NEB8kflNYe+jXj+5t2KkI2Eh09BB0jCM4eEDpAztsCCtrrJ7MQnsz4FAKAGMAAhJHcdYgOb+ekFAEDFAISgbGgZYNPvyfoUAIDQMQC5owOkqKQDVOLZU9iIpwMkogMkoQMkoQOkoAPkjjV4b1S4Bl+ka84IG9+W6GHCwxq8hA6QhDV4CR0gBWvw7hiAvOE+AOXzS843u2hZcmcJEAOQhA6QhAFIQgdIwQDkjg6QNyruAJXomGjDZ8e8i0sHSEIHSEIHSEIHSEEHyB0dIH9oNYc3G81mPJXUWQJEyEbCw6egAyThmUNCB8gZW2C145cH28Dmd7M+BQAgTAxACFVhI/7Qe7M+BQAgSAxACNczM80aeC0MAKByDEDu6AApnDtAxbpmD7X92/XrhIcOkIQOkIQOkIQOkIIOkDvW4L2hrMEXWfwRs4sT3AoIBWvwEjpAEtbgJXSAFKzBu2MA8kZCA1C+p31CjBvxDEASOkASBiAJHSAFA5A7OkDe0DpAxVY1mp20IKGLhYIOkIQOkIQOkIQOkIIOkDs6QP5IsOZwx0E2sGVTYpcLAiEbCQ+fgg6QhGcOCR0gZ2yB1aZ3WwbYYb/J+hQAgHAwAKEmPPoByzW+nfUpAAChYABCbdgye4gdEOVGPADAAQOQOzpAikQ6QCVePc+s/vWEL+orOkASOkASOkASOkAKOkDuWIP3RlJr8EV62sfbiEg24lmDl9ABkrAGL6EDpGAN3h0DkDeqMADl86sazM5cmPx1/cMAJKEDJGEAktABUjAAuaMD5I3kOkAl5k6zQS2bq3Flv9ABktABktABktABUtABckcHyB9J1hyKrG2us8Pvr8qlvULIRsLDp6ADJOGZQ0IHyBlbYBF45FjLNfITDgDA3jAAoeb0bcR3ZH0KAIDPGIBQg14516z+jaxPAQDwFwOQOzpAiuQ7QMV62kbbmDk1/KN2OkASOkASOkASOkAKOkDuWIP3RlXW4Ius/JTZrNr9/xBr8BI6QBLW4CV0gBSswbtjAPJGtQegfH7u1BreiGcAktABkjAASegAKRiA3NEB8kaVOkDF1jTX2RHzqn0v2aADJKEDJKEDJKEDpKAD5I4OkD+q1AEq8fDRlmtaV/37yQAhGwkPn4IOkIRnDgkdIGdsgUVmU+tgm3xb1qcAAHiHAQi17YUzzOqr/tM2AEBgGIBQ47rbRtnYWt6IBwA4YAByRwdIUd0OUIkVl5t9aFFa95YOOkASOkASOkASOkAKOkDuWIP3RvXX4IvMnWJDW2vqKY81eAkdIAlr8BI6QArW4N0xAHkj1QEov6YpZ8c/nuIdVhsDkIQOkIQBSEIHSMEA5I4OkDdS6ACVePAoq2tan+pdVhMdIAkdIAkdIAkdIAUdIHd0gPyRRgeo2MbWwXbgz9O9zyoiZCPh4VPQAZLwzCGhA+SMLbCYPX+aWT2vPwQA5BmAEJPutpE2to2fvwMAGIAQlWUfMzubn8ADABiA3NEBUqTYASrRsZ8Nq4GNeDpAEjpAEjpAEjpACjpA7liD90a6a/BF3mnK2Qnzs7nv5LAGL6EDJGENXkIHSMEavDsGIG9kNgDl8w8caXVNgX8DhQFIQgdIwgAkoQOkYAByRwfIG2l3gIptbB1kh/wqs7tPAh0gCR0gCR0gCR0gBR0gd3SA/JF2B6jEc6eaNST4o+T0EbKR8PAp6ABJeOaQ0AFyxhYYtuqaM9LGsREPANEKbwDqWvb0g/c9vGC509cgDEDYbukFZue8nPUpAADZCGwA6rx+xkDbasjMa56p+PMZgLBT30Y8L2YAgCgFNQAtu9xKfWxphVegA+SNrDpAxVY3mZ34ZNancEIHSEIHSEIHSEIHSBFtB2j+xN6Zp27qrI9f0XjFpbOm1vW+N+6pyi7BGrw3MlyDL/KrQ2xgc4ijBGvwEjpAEtbgJXSAFLGuwa+ZZnZGx86/t1Z3nGE2ubK/xxiAvOHHAJTf0DLApt+T9SkqxwAkoQMkYQCS0AFSxDoA3Wj2tdJ/b3quNftmRdegA+SNLDtAJZ49JcSNeDpAEjpAEjpAEjpAilg7QKfYqbv+4Llnls2s6Bp0gPyRaQeoWNecETa+LetTVIqQjYSHT0EHSMIzhyTSDtA4+/ZuH/uujaroGmyBoR9LPmr2sWVZnwIAkKKABqBB9qPdPnaLDa3oGgxA6FfHRBs+my9rASAeAQ1A0+yru33sKza9omswAKF/bzaazahwpxAAEK6ABqCrbPiua1fPDrWrK7oGHSBv+NABKvHLg21g87tZn6JcdIAkdIAkdIAkdIAUsXaAHs/ZhB8Wv3ax+9ZxlnuiomuwBu8NT9bgixQ24g/9ddanKBNr8BI6QBLW4CV0gBSxrsHnrzOzsZd/o/2ueY/O+9WtN145uff9r1d2CQYgb/g3AOXzz8w0awhjvZwBSEIHSMIAJKEDpIh2AMp/a9AuvwpjyA0VXoEOkDe86QAV65o91PZvz/oU5aADJKEDJKEDJKEDpIi1A9Tr5S+MLhp/Jn2p4kmQDpA/vOkAlVj8EbOLE/wPrGoI2Uh4+BR0gCQ8c0gi7QD16Xri+9d94cqGz375r255zuE/QrbAsA897RPYiAeA2hfaACRiAMI+FTbiT1qQ9SkAAFXFAATs6s6DbGDLpqxPAQCoovAGoK5lTz9438MLljv9kIIOkDe86wAVe7dlgB32m6xPsTd0gCR0gCR0gCR0gBSxdoAKOq+fMXD7BtjMa56p+PNZg/eGj2vwRR79gOUa3876FHvGGryEDpCENXgJHSBFvGvwyy7fZQ3+Y0srvAIDkDc8H4DyW2YP8XkjngFIQgdIwgAkoQOkiHYAmj+xd+apmzrr41c0XnHprKl1ve+Nq/C3N9EB8oaXHaASr37Y7JLXsz7FHtABktABktABktABUsTaAVozzeyMjp3fuV7dcYbZ5Mq+k00HyB9+doCK9bSPtxG+bsQTspHw8CnoAEl45pBE2gG60exrpf+X91xr9s2KrsEWGCqxqsHszIVZnwIAkLyABqBT7NRdB+eeWTZzz5+wqmM304+6bn1hiOpet5Zbbsu4ve/TAwa1bM7+HNxyyy233CZ7+zcfCmYAGmff3u1j37VRe/6Ey2x3f97ZuSZfeAkAt9yWd/vPdXb4Ex6cg1tuueWW22Rv/yOfrKoNQIPsR7t97BYbuudPuPuKhl2N+8Stvyv89H/z8jf02+Urk7lOnLfLl6724hz7vn3kWDvs3xdnf46S29cWrfXiHIHeLl30hhfnCPT2zd++7sU5Ar1d+bof5wjztue13yd3vdtaf5JPVtUGoGn21d0+9hWbXtE1WIP3hu9r8EUKG/EHdGR9ilKswUvoAElYg5fQAVLEugZ/lQ3fdeJ4dqhdXdE1GIC8EdAAlM+/cq5Z/RtZn6IYA5CEDpCEAUhCB0gR6wD0eM4m/LCr6APdt46z3BMVXYMOkDf87wAV62kbbWPmeLS9SgdIQgdIQgdIQgdIEWsHKH+dmY29/Bvtd817dN6vbr3xysm973+9skvQAfKH/x2gEis/ZTbLo+/5de37j2DPePgUdIAkPHNIIu0A5fPfGrTLTteQGyq8Ah0gOJs71Qa1bM76FACARAQ1AOVf/sLoovFn0pcq/lkgAxDcrW2usyPmZX0KAEASwhqA8vmuJ75/3ReubPjsl//qluccvg3LAATFw8dYrmld1qcAAOhCG4BEiQ5Ay1cmd634dC8LcQ9nU+tgm3xb1qfotXkJr+IVrF/yXtZHCNnby3gVi2Dl77I+Qch6Xvt9chdjAHLGGrwkqDX4Ip1nmNVnv8DGGryEDpCENXgJHSBFrGvwfbpLv+59e3llT0UMQN4IdQDKd7eN8mAjngFIQgdIwgAkoQOkiHcA6r75tAE28tJ7dn7kEqvs7ugAeSOsDlCJFZebfeilbM9AB0hCB0hCB0hCB0gRbQfoDxduW/+6bO32D2U5AFFz0ATWASoxd4oNbc32VSSEbCQ8fAo6QBKeOSSxdoA+VVh9P3pI7z8P3/7Tk0wHIMRrTVPOjns861MAAJwFNADdZzbl1/n8hu9O6H1j2wTEAISMPHS01TWtz/oUAABHAQ1An7Ghi/reePNMs0O2rqAzACErG1sH24E/z/oUAAA3AQ1Ah9rntr218QKzGX0vYsx0AKIDpAizA1Ti+dPM6jNKetABktABktABktABUsTaARpm39/+5qazzS4qvA4vywGINXhJsGvwRQob8WPbMnkxN2vwEjpAEtbgJXSAFLGuwQ+xf93x9trjzL6aZwAKWC0MQPn87y4zO2tRBnfMACShAyRhAJLQAVLEOgBNsb/Y+c5rk8z+iQ5QwALuAJXomGTDMtiIpwMkoQMkoQMkoQOkiLUD9AmbumHne48Nsbqf0AEKWMgdoGLvNOXshPmp3y0hGwkPn4IOkIRnDkmkHaBbzOqLvmz7t5zV3XAxW2DI3ANHshEPAKEJaADacqLZfl/+wY73/8XM6hiAkL2NrYNsyu1ZnwIAUIGABqD8K9N6R56jdr7/fwYUfi9GRZdgAEJVPHeqWcNbWZ8CAFC2kAag/JtXD7bzit5/5OBMByA6QIoa6AAV65oz0saluBFPB0hCB0hCB0hCB0gRaweoYM3tdxS/u/E7x9VV9PmswXujNtbgiyy90Oycl9O6N9bgJXSAJKzBS+gAKWJdg+9fZV+JMAB5o+YGoHy+Yz8b1prSfjADkIQOkIQBSEIHSMEA5I4OkDdqpQNU7J0msxOfTOWu6ABJ6ABJ6ABJ6AApYu0AJYEOkD9qpQNUYt4RNrA5ledWQjYSHj4FHSAJzxySSDtASWALDNW1oWWATb8761MAAPaFAQhI1LOnmDUkuKcAAKgGBiAgWV1zRti4tqxPAQDYKwYgd3SAFDXWASqx5KNm5ya4qtAPOkASOkASOkASOkCKmDtAKtbgvVGDa/BFOiba8NnVfKUoa/ASOkAS1uAldIAUrMG7YwDyRm0PQPk3G81mPFW96zMASegASRiAJHSAFAxA7ugAeaMWO0AlfnmwDWx+t1pXpwMkoQMkoQMkoQOkoAPkjg6QP2qyA1SssBF/6K+rdXVCNhIePgUdIAnPHBI6QM7YAkOKnjnZrIHv1ACAjxiAgKopbMTv3571KQAAu2MAAqpo8flmFyf4M2sAQDIYgNzRAVLUcgeoWE/7hGpsxNMBktABktABktABUtABcscavDdqfA2+SGEj/qSnE74oa/ASOkAS1uAldIAUrMG7YwDyRjwDUD5/50GJb8QzAEnoAEkYgCR0gBQMQO7oAHmj5jtAxQob8Yfdm+QV6QBJ6ABJ6ABJ6AAp6AC5owPkj5rvAJV47AOWa3w7wQsSspHw8CnoAEl45pDQAXLGFhgysmX2EDbiAcAfDEBAOl79sNklr2d9CgBAHwYgICU97eOr/DviAQDlYgByRwdIEUsHqMSqRrMPLkziSnSAJHSAJHSAJHSAFHSA3LEG742Y1uCLzJ1mg1o269dhDV5CB0jCGryEDpCCNXh3DEDeiHQAyq9trrPD75MvwwAkoQMkYQCS0AFSMAC5owPkjag6QCUeOdZyjerzLx0gCR0gCR0gCR0gBR0gd3SA/BFXB6hYYSP+AHUjnpCNhIdPQQdIwjOHhA6QM7bA4INXzjOrfyPrUwBAzBiAgPT1tI22MXP4QhAAMsMABGRh5afMZvEyegDICgOQOzpAiig7QCXmThU24ukASegASegASegAKegAuWMN3huxrsEXKWzEH3G/2+eyBi+hAyRhDV5CB0jBGrw7BiBvMAD1evgYyzWtc/lMBiAJHSAJA5CEDpCCAcgdHSBvxNsBKrZl9mCbfJvDJ9IBktABktABktABUtABckcHyB/xdoBKdJ5hVu8wCxKykfDwKegASXjmkNABcsYWGHzT0zaKjXgASB0DEJCxFZ80+9BLWZ8CAOLCAARkbu4UG9TCYjYApIgByB0dIAUdoGJrmnJ23OMVfAIdIAkdIAkdIAkdIAUdIHeswXuDNfhSDx1tuab1Zf9x1uAldIAkrMFL6AApWIN3xwDkDQagXWxqHWwH/qzcP80AJKEDJGEAktABUjAAuaMD5A06QLt54XSz+jK/O04HSEIHSEIHSEIHSEEHyB0dIH/QAdpNd9soG9tW3uNCyEbCw6egAyThmUNCB8gZW2Dw2u8uMztrUdanAIAIMAABPumYZENbWVECgGpjAAK88k5Tzo5/IutTAECtYwByRwdIQQdojx44yur2tRFPB0hCB0hCB0hCB0hBB8gda/DeYA1+zza2DrYpt+/1j7AGL6EDJGENXkIHSMEavDsGIG8wAO3N86eaNby1lz/AACShAyRhAJLQAVIwALmjA+QNOkB71TVnpI3by0Y8HSAJHSAJHSAJHSAFHSB3dID8QQdo75ZeaHbOnv+mJGQj4eFT0AGS8MwhoQPkjC0whKNjPxvGRjwAVAcDEOCrwkb8CU9mfQoAqEkMQIC/5h1hA5t5uQoAJI8ByB0dIAUdoLJsbBlg0+/e/eN0gCR0gCR0gCR0gBR0gNyxBu8N1uDL9OwpZg27/SfPGryEDpCENXgJHSAFa/DuGIC8wQBUrq45I3bfiGcAktABkjAASegAKRiA3NEB8gYdoPIt+ajZuaX/1dMBktABktABktABUtABckcHyB90gCrQMdGGzS6JrxCykfDwKegASXjmkNABcsYWGML0VqPZjKeyPgUA1A4GICAIdx1sA5vfzfoUAFArGICAMGxoGWCH/jrrUwBAjWAAckcHSEEHqHLPnGzWsPXFz3SAJHSAJHSAJHSAFHSA3LEG7w3W4B0UNuIntRfeYg1eQgdIwhq8hA6QgjV4dwxA3mAAcrL4fLOLXmMAEtEBkjAASegAKRiA3NEB8gYdIDc97RNs+Oz36QBJ6ABJ6ABJ6AAp6AC5owPkDzpAjt5sNDvpaUI2Eh4+BR0gCc8cEjpAztgCQw248yA24gFAxAAEBKewEX/YvVmfAgBCxgAEBOixD1iu8e2sTwEA4WIAckcHSEEHSLJ58c1Dbf/2rI8RKjpAEjpAEjpACjpA7liD9wZr8JLVnSte/bDZJa9nfZAw0QGSsAYvoQOkYA3eHQOQNxiAJIUOUE/7+MJGfNZHCREdIAkDkIQOkIIByB0dIG/QAZJs7QCtajT74MKszxIgOkASOkASOkAKOkDu6AD5gw6QZFvI5o5pNqhlU7ZHCREdIAUdIAnPHBI6QM7YAkONWdtcZ4ffl/UpACA4DEBA2B491nKNvKQFACrDAAQEbsvsIXYAG/EAUBEGIHd0gBR0gCSblxS/iveV88zq38jsMOGhAyShAyShA6SgA+SONXhvsAYvKazBF+lpG21j5vCsVC46QBLW4CV0gBSswbtjAPIGA5BklwGo96vKT5udyb+RZaIDJGEAktABUjAAuaMD5A06QJKtHaASc6faoJbNWRwmPHSAJHSAJHSAFHSA3NEB8gcdIEk/IZvCRvwR96d/lBDRAVLQAZLwzCGhA+SMLTDUsoePsVzTuqxPAQAhYAACakdhI37yT7M+BQAEgAEIqCWdZ5jV8/IqANgXBiB3dIAUdIAkpR2gYj1to9iI3xc6QBI6QBI6QAo6QO5Yg/cGa/CS3dbgi6z4pNmHXkrxMOGhAyRhDV5CB0jBGrw7BiBvMABJ9jYA5fNzp7ARv1d0gCQMQBI6QAoGIHd0gLxBB0jSTweo2JqmnB33eFqHCQ8dIAkdIAkdIAUdIHd0gPxBB0iyr5DNQ0dbrml9KkcJER0gBR0gCc8cEjpAztgCQyw2tQ62A3+W9SkAwFcMQECNeuF0s3oWTgCgXwxAQK3qbhtlY9v4USMA9IMByB0dIAUdIMmeO0AlVlxmdtaiah8mPHSAJHSAJHSAFHSA3LEG7w3W4CV7X4Mv0jHJhrbybL8LOkAS1uAldIAUrMG7YwDyBgOQpOwBqG8j/vgnqnqY8NABkjAASegAKRiA3NEB8gYdIMk+OkAlHjzK6tiIL0EHSEIHSEIHSEEHyB0dIH/QAZJUErLZWNiIv71qRwkRHSAFHSAJzxwSOkDO2AJDlJ4/zazhraxPAQAeYQACItDdNpKNeAAowgAERGHphWZn8+IDANiGAcgdHSAFHSBJmR2gEh372TA24vvQAZLQAZLQAVLQAXLHGrw3WIOXlL8GX+SdppydMD/5w4SHDpCENXgJHSAFa/DuGIC8wQAkcRqA8vl5R1pdExvgdIA0DEASOkAKBiB3dIC8QQdIUkkHqNjGlgE2/e6EDxMeOkASOkASOkAKOkDu6AD5gw6QxDlk89wpZg0J/hQ9THSAFHSAJDxzSOgAOWMLDNHrmjPSxrERDyB2DEBAbJZ81Ozcl7M+BQBkigEIiE/HRBs2m59jAIgZA5A7OkAKOkASlw5QsdVNZic+ldBhwkMHSEIHSEIHSEEHyB1r8N5gDV7iuAZf5K6DbWBzrLtQdIAkrMFL6AApWIN3xwDkDQYgiT4A5Te0DLBDf53EYcJDB0jCACShA6RgAHJHB8gbdIAkrh2gEs+cbNaQwHXCQwdIQgdIQgdIQQfIHR0gf9ABkiQSsumaM8LGtyVxpdDQAVLQAZLwzCGhA+SMLTCg2OLzzS5K8CsqAAgFAxAQs572CTacjXgA8WEAAuL2ZqPZSU9nfQoASBkDkDs6QAo6QBK1A1TilwfZwOZ3k7ue/+gASegASegAKegAuWMN3huswUsSWIMvUtiIP+zeBC/oOzpAEtbgJXSAFKzBu2MA8gYDkCTZASifXzDTco1vJ3pJn9EBkjAASegAKcIbgL7zVsL34YwOkDfoAEkS6QAV2zJ7qO3fnuw1/UUHSEIHSEIHSBFeB8gG1v90c8J344YOkD/oAEmSD9m8+mGzi19P/LJ+ogOkoAMk4ZlDElwHyHqN+5PHE74jF2yBAXvCRjyAmKQyAP3jzMIIZEf+beZfXjIAAXu2qtFs5oKsTwEAaUjpRdCL/urQwgiUO+9fs/3ROwMQsDd3TLNBLZuyPgUAVF96W2CPfXm/wgw0ovHeDH8ASgfIG3SAJIl2gIqta66zw++rzrX9QQdIQgdIQgdIEWwHqOvOPxpemIGm/mXCd1k+1uC9wRq8JOk1+CKPHlv7G/F0gCSswUvoACnCW4Pf6d1/axjdOwIlfJflYwDyBgOQpIoDUH7L7CF2QG1vxNMBkjAASegAKUIegNb+3/9aMwMQHSAJHSBJ4h2gEq+cZ1b/RhXvIGt0gCR0gCR0gBThdYC2efcn9YMKPwI75lsJ32X56AD5gw6QpLohm5728TZ6Tg3/C04HSEEHSMIzhyS4DlDBljv+aERh+hn/pfkJ32El2AIDyrLy02Zn8kNeALUrnQGo+4Gm8YXpZ+DHb8t2+YIBCCjT3Kk2qMWPgjsAJC+VAeiaKX0hxBnfSXB9zQ0DEFCutc11dsT9WZ8CAKojtV+Fsf//eD7hO3JBB8gbdIAkVesAlXj4GMs11uL/n+gASegASegAKcLrANmQhjv9eNEha/DeYA1eUs01+CKFjfjJP03jntJFB0jCGryEDpAivDX473nzlw0DkDcYgCQpDUD5fOcHzeprrlhAB0jCACShA6QIbwDyBx0gb9ABklS3A1Ssp220jam1jXg6QBI6QBI6QIpAO0DLb/vu3+fzy7J9HTQdIH/QAZKk+DPlFZ80m/VSeveXBj9+JB8qOkASnjkkIXaAfjbT+grQrYO+uDbhO6wEW2BA5eZOYSMeQK1JqQP0x3178L3/02fNjlyV8D1WMqfgDQAAIABJREFUgAEIcLCmuc6OeyzrUwBAgtIZgK41G3j2xYUB6Lo6szOz+9kHAxDg5KGjLde0LutTAEBiUhmAOutsxsL87X2/BHXRkWa3JXyX5aMD5A06QJJ0OkDFNrUOtgN/lvKdVgsdIAkdIAkdIEV4HaAv2ZhV+W0DUH7VKLs84bssH2vw3mANXpLaGnyRF043q6+Nv7vpAElYg5fQAVKEtwZ/lP33/I4BKP81m6Zcv2vZ0w/e9/CC5U57CAxA3mAAkmQxAOW720bZ2JrYiKcDJGEAktABUoQ3AI3ou5PtA9C/2hDni3deP2Pg1tdT25CZ1zxT8efTAfIGHSBJeh2gEisuNztrURb3nCw6QBI6QBI6QIrwOkDD7Cf5nQNQu410vPSyy63Ux5ZWeAU6QP6gAyTJKmTTMcmGtob/Aho6QAo6QBKeOSTBdYCm21/mdw5Af2KHu115/sTemadu6qyPX9F4xaWzptb1vjfuqcouwRYYoFnTlLPjn8j6FACgSmUA+owd+IcdA9Cy4fbfnC68ZprZGR07X7u4uuMMs8mVvZaRAQhQPXiU1TWtz/oUAKBJZQC61+zSTdsGoMXHmP3K6cI3mn2t9HtfPdeafbOiazAAAbKNhY34n2d9CgCQpBNC/LjZ9Jv+2mzxnV8cZnae24VPsVN3/dFpzyybWdE16AB5gw6QJP0OUInnTzNreCvLE2joAEnoAEnoACnC6wDl151c9Mrlwx3/3hxn397tY9+1URVdgzV4b7AGL8lkDb5Id9tIG9sW7OvY6QBJWIOX0AFShLcGn89vah6ybfyp+6M1jhceZD/a7WO32NCKrsEA5A0GIEnWA1A+v/RCs7ND3eelAyRhAJLQAVKEOADl86u+95lzZpz5yb93P/s0++puH/uKTa/oGnSAvEEHSJJRB6hEx342LNCNeDpAEjpAEjpAivA6QMm4yobv+i2XZ4fa1RVdgw6QP+gASXwI2bzTlLMT5md9Cic+PHzhogMk4ZlDElwHKBmP52zCD4v/3uq+dZzlKguSsAUGJOiBI62uiW+mAAhRQANQ/jozG3v5N9rvmvfovF/deuOVk3vf/3pll2AAApK0sWWATb8761MAQOWqPAD9Tf8cL/2tQbv8KowhN1R4BQYgIFnPnWrWkOBiKgCko8oDkPXP9dovf2F00VUmfaniV1TTAfIGHSBJxh2gYl1zRtq4wDbi6QBJ6ABJ6AApQuoAJTwA9f5l+8T3r/vClQ2f/fJf3fKcwwvxWIP3BmvwkuzX4IssucDsnJezPkUl6ABJWIOX0AFShLQGf/tW3x1mE6+58+VVrz3yrem2/6+XJXyX5WMA8gYDkMSrASif75how2YHtBpEB0jCACShA6QIaQDaauMx9pG3t799hU15e/c/khI6QN6gAyTxoQNUbHWT2YlPZn2KstEBktABktABUoTXAbrRpu783dHvHVXp6lY/Xr7572b/eFnln0cHyB90gCTehWzuOtgGNgczVnj38AWFDpCEZw5JcB2gE6y16L2b7CinC3/nO7/Y9tb8M7e+lOjDFX/FyRYYUCUbWgbYofdkfQoAKFMqA9AIu7XovX+zYW4Xtku2vvGTwdtfTD3gnyq8BgMQUDXPnGzW4NeP5gBgT1IZgIbZd4re+5aNcbvwtgHoid75Z9hl13/j8wf3jkA/qOwaDEBA9XTNGWHj27I+BQCUI5UBaIadvPOHnpsOt7PdLrxtADrd7II3C2+83zbMRlZWVKAD5A06QBKPOkAllpxvdlGCL1KsEjpAEjpAEjpAipA6QFt9w+zPtv8Hs+FyM7cvEbcNQC+Znbhp24d+YSWvLto31uC9wRq8xLM1+J162ifacO834ukASViDl9ABUoS3Br/6ALOTf/jbjb1PenMOM5vptkK5bQC62ey2HR+rt1P2/AlL23Zz0Ik3rCn8u/f+O6vl2/d7B6AkrhPp7VuFAciDcwR6+0bfAJT9Ofq5fbPRRv3ZM9mfY2+3Szt/58U5Ar19tfNNL84R6O3CztVenCPM294BKLnr/cMlafwy1AUj+16znOv750GOPznaNgDdZLbzZZbfs4l7/oSP99Og/vPOvi/93urUb1cvejWR68R627ncj3OEevuGJ+fo5/aXLb23q7I/B7dVun3Fk3MEevvKi36cI8zb9198Lcnrbd8tT0q/v+di0Ud3jCD/zfWlH9sGoO+Zbd7xsX+3QXv+hEf/pGlXEy/44arCd+ffW7lCv+3uTuY6kd6+1+PHOQK9XeHJOfq9XXvbN66dcW/259jz7XJPzhHm7eYVfpwj0NvuTX6cI9Db93uSu94tf1a8oZ6EPfyirwXfuOCEaSde9K3F7hfeOgA9bbbztw79je1f0TXYAgPSsGCm5RrZiAfgsVReA5TQhe30xYWf2x1jN2z/0MZD7MKKrsEABKRiy+yhtn971qcAgD0KagAyG3vetT+5yUa8tPUj6y81+15F12AAAlKy+CNmF7+e9SkAYA9SHYBWPfibl3qcL5zb+VLmCYUXWD55zSSz6ZWtY9IB8gYdIImvHaBiPe0TfN2IpwMkoQMkoQOkCKsD9HLrD7e9Na/vN3jtf4NrQWL9w//8+ZOHbp2ACr9P/tre29EV/jYwOkDeoAMk8bYDVGJVo9nMBVmfoh90gCR0gCR0gBQhdYDe+1LO6re++f26bd++OXGVcPWuzh9fc/5+owtv3mR28gsVfjoDkDcYgCRhDED5/B3TbFDLpn3/uZSt6OT7jwIGIMlCBiBBQANQz2W9A8+RfW8+PdBswsevntU7Bp0qf1O8b7vkgeseqPhfoyQHoJ5FryZ2rQi9t3B51kcI2frOQFas1jUPsMN+k/UpdvX7Tv9/guixNxa6xWzR55XfZn2CkL3/YoK/aqe6A9CPzQY2/arvzfPNrlzfe9t5rNkP+/3ENCT6GqBufg6ueJ+vghRdWR+gbI9+wHKNb2d9il2E8/D5qMfLF3YFg2cOSZLPHNUdgM60IY9sfet3OTtk6zfCV06wDyd8l+VjCwxI25bZQ+wANuIBeKaqA9CmAfY/tr35A7M52968bm+/vqLKGICA9L16nln9G1mfAgCKVXMAuv1TZh/57FZHm1267c1zLNf7z4TvtUwMQEAGetrH2+g5/OAEgEeqOQC19vPLSHdI+F7LRAfIG3SAJCF0gEqs/LTZmQuzPsV2dIAkdIAkdIAUwXSAupab/WhTn+fN/mTTNv9sg9dvymgxljV4b7AGLwllDb7I3Kk2qGXzvv9cGugASViDl9ABUgS0Bn/A9l/V9admd277WPdpdlLCd1k+BiBvMABJAhyA8mub6+zw+7M+RR86QBIGIAkdIEVAA9AXzG4o/L/6Z3U2fdvP/7u/avbXThee0L+KrkEHyBt0gCTBdIBKPHKM5Rp9GD3oAEnoAEnoACkC6gAtGmw2s+X/Pd/Mbu77wOs3zzQb7vYLEusSeDERHSB/0AGShBmyKWzET/5p1qfIh/rw+YIOkIRnDkk4HaD8jwduG1P+S9+7jxXezP3I7cILjun95AOm7Kqia7AFBmSq84Nm9XzzD0D2qv3LUB86uTDzjP+7rSPvu3Vmk37heuW1Z5l9WTscAxCQrZ620TZmDl8DA8ha1X8bfH7xf/zbIztWTj/xmZuF/a/1J5jd5v7peQYgIHsrP2U266WsTwEgdtUfgJL0ymg7YJ1yATpA3qADJAmuA1Ri7pSMN+LpAEnoAEnoACmC6QBVwf9n9pfK57MG7w3W4CUhrsEXWdNcZ8c9lt390wGSsAYvoQOkCGgNPnE9J9lw5W8uBiBvMABJAh+A8vmHjrZck/TtXAUdIAkDkIQOkCK8Aei/lLjqc9f+rydc/wV46vrrnxcORwfIG3SAJGF2gIptah1sk7WX9LmjAyShAyShA6QIqAO0/UO7O+aphO+2PHSA/EEHSFIDIZsXTjerz+jlEDXw8GWIDpCEZw5JQB2grcaMGdQ39QwomoAGPZDw/ZaFLTDAG91to2wsG/EAspHOa4AeHGnT5yzcnH/vt23H2YAfPPLzq+psShY//2cAAjyy4nKzsxZlfQoAUUplAHpzvF367ra3t1xtB6zJ539s9sOE77gcDECAVzom2dBWdtIBpC+VAehaO2Tn0sCWo+263psP2QUJ33E56AB5gw6QJOwOULE1TTk7/omU75QOkIQOkIQOkCK8DtCRdkPRezfaMb3//JYdmvAdl4M1eG+wBi8Jfg2+yINHWV3T+lTvkg6QhDV4CR0gRXhr8EPt1qL3brVhvf9s7/tn2hiAvMEAJKmlASi/sXWwHfjzNO+RDpCEAUhCB0gR3gA0wv6h6L2bbFzvP78f/ABEB0hCB0gSfgeoxPOnmTW8ld790QGS0AGS0AFShNcBOsWO25ndeP8EO6X3psUOSfiOy0EHyB90gCQ1FrLpbhtpY9vS+1eixh6+lNEBkvDMIQmuA/S3Zn+8/b+Y7i+b/W0+v2maXZ7wHZeDLTDAT8suNDubL40BpCaVAWjtFLOTbynsTC2/5TSzA9flH/uglbwuKC0MQICvOvazYWzEA0hLOiHEheML8echY/uC0OPm5/NXmx2fxXdRGYAAb73TlLMT5md9CgCRSOm3wS/5+I7fgXH+4t73z7UTliZ8v2WhA+QNOkCS2ukAlXjgSKtrSuH/MjpAEjpAEjpAivA6QAUL/vpD00ftf+p/3/r13X88lM1/QKzBe4M1eElNrcEX2dgy0A65u+p3QwdIwhq8hA6QIrw1eH8wAHmDAUhSqwNQPv/cqWYNCX6N1y86QBIGIAkdIAUDkDs6QN6gAySpsQ5Qsa45I21clTfi6QBJ6ABJ6AApwusA+YMOkD/oAElqOWSz9AKzc16u6l3U8sNXfXSAJDxzSILrAPX+dXPPN5v/9Is7JHyX5WMLDAhAx0QbNpshBUA1pTMAPXeUlUj4LsvHAASEYHWT2YlPZn0KALUslQHonf2MAQhABe46xAY280odAFWTygD012ZjrvvFQ4/vkPBdlo8OkDfoAElqtANUbEPLAJt+T3WuTQdIQgdIQgdIEV4HaIYN60z4XhyxBu8N1uAltbsGX+TZU8waqrLtRgdIwhq8hA6QIrw1+JHWmPCduGIA8gYDkCSKASjfNWeEjW+rwoXpAEkYgCR0gBThDUAjbHbCd+KKDpA36ABJargDVGLJ+WYXLUv8snSAJHSAJHSAFOF1gI626xK+E1d0gPxBB0gSzY54x0QbPjvx7kw0D19V0AGS8MwhCa4DdK2dlPCduGILDAjMm41mM57K+hQAak4qA9AbY+zmhO/FEQMQEJxfHmwDm9/N+hQAakw6IcQ7h9d9dYEPPzVmAALCU9iIP/TerE8BoLakMgBdddWJZlY3esJ2Cd9l+egAeYMOkCSCDlCJBTMT3YinAyShAyShA6QIrwNku0r4LsvHGrw3WIOXxLEGX6Rr9lDbvz2pq9EBkrAGL6EDpAhvDX7KrhK+y/IxAHmDAUgS3QDU+6z7EbOLE9qApQMkYQCS0AFShDcA+YMOkDfoAEli6QAV62mfkNRGPB0gCR0gCR0gRXgdIH/QAfIHHSBJlCGbVY1mMxckcaUoH77E0AGS8MwhCa4D5A+2wICQ3XGQDWzZlPUpANQCBiAA4Xi3ZYAd9pusTwGgBlR5ABozZszDff8slfBdlo8BCAjcox+wXOPbWZ8CQPCqPACZ2bxaXYOnAyShAySJrQNUbMvsIXaAthFPB0hCB0hCB0gRUgfo4IMPfrzvn6USvsvysQbvDdbgJRGuwRd59Tyz+teFC9ABkrAGL6EDpGAN3h0DkDcYgCRxD0D5nvbxNkLYiKcDJGEAktABUjAAuaMD5A06QJIYO0AlVn3a7MyFrp9NB0hCB0hCB0hBB8gdHSB/0AGSELKZO80GtWx2/GQePgUdIAnPHBI6QM7YAgNqxdrmOjv8/qxPASBUKQ1AXfd8s/lPv7hDwndZPgYgoHY8cqzlGnk1DwAn6QxAzx1Vi2vwALLVtxH/06xPASBIqQxA7+xHBwi7oAMkibkDVOKVc83q36j0s+gASegASegAKULqAG3112ZjrvvFQ4/vkPBdlo81eG+wBi+JfA2+SE/baBszp8InZDpAEtbgJXSAFOGtwc+wYZ0J34sjBiBvMABJGIB2Wvkps1mV/cdIB0jCACShA6QIbwAaaY0J34krOkDeoAMkib4DVGLu1Ao34ukASegASegAKcLrAI2w2QnfiSs6QP6gAyQhZFNsTXOdHTGvgk/g4VPQAZLwzCEJrgN0tF2X8J24YgsMqEkPHW25pnVZnwJAQFIZgK61kxK+E1cMQEBt2tQ62CbflvUpAIQjlQHojTF2c8L34ogBCKhVL5xhVs8rywCUKZ0Q4p3D6766wIeXzdEB8gYdIAkdoH50t42ysWVtxNMBktABktABUoTXAbrqqhPNrG70hO0SvsvysQbvDdbgJazB92vF5WZnLSrjz9EBUrAGL6EDpAhvDd52lfBdlo8ByBsMQBIGoD2YO8WGtu7z2zt0gCQMQBI6QIrwBqApu0r4LstHB8gbdIAkdID2ZE1Tzo7fV2yeDpCEDpCEDpAivA6QP+gA+YMOkISQzR49eJTVNa3f+5/h4VPQAZLwzCEJrgPkD7bAgJq3sXWwHfjzrE8BwHMMQABqzfOnmdWzawNgbxiAANSc7raRNraNn7IC2LNUBqDWXSV8l+WjA+QNOkASOkD7suxCs7P39GpTOkASOkASOkCK8DpArMFjN6zBS1iD37eO/WzYHjbi6QBJWIOX0AFShLcGzwCE3TAASRiAyvBOU85OmN/f/0IHSMIAJKEDpAhvALp9u1v/5XMT7GNrs1tBpQPkDTpAEjpAZXngSKtr6ueHhXSAJHSAJHSAFGF3gFafYx/LbvylA+QPOkASQjZl2dg6yA65e/eP8/Ap6ABJeOaQhN0B+s+RdkvCd1k+tsCAuDx3qllDgi+bBFArMliDv9o+kvBdlo8BCIhM198Pt4nZfdEFwFcZDEA32aSE77J8DEBAdJacb8YL9gDsIoMBqMWGJnyX5aMD5A06QBI6QJXoueX60hf90AGS0AGS0AFShNcBKvHeITY94bssH2vw3mANXsIavGLTi50v8zped6zBS+gAKcJbgy/24kfN/jjhuywfA5A3GIAkDEDuHvvEsNbOT0/4wtKsDxIsBiAJHSBFeAPQYTscPMbMBjyf8F2Wjw6QN+gASegAudryp2Z1f9F5mdngf8n6LKGiAyShA6QIrwNUmoHOzUn4HitAB8gfdIAkhGzcdH/Shn3jrd6H7+X/J2c3Zn2aQNEBkvDMIQmuAzRih1ETj/3ckwnfYSXYAgOi9vc2/ultb/5kQN28LI8CIFsZbIFliQEIiNnqMbazC/03dnKGRwGQsVQGIH++X8oABMTsB3bBznc2HWDPZXcUABlLZQD6yik3ebKyQgfIG3SAJHSA3PyR/aBws60D1GTfzvY4gaIDJKEDpAivA3Sk2UMJ34sj1uC9wRq8hDV4N2fbg4WbFZ3vFG7+0b6W7XECxRq8hA6QIrw1+GE2zJP/hzMAeYMBSMIA5OZcm1e4WdHZ9/3Hf7BrMz1NqBiAJHSAFOENQNNskCfZCDpA3qADJKED5KbR+uI/v+/s+wni1fa/sj1OoOgASegAKcLrAN1k9o8J34sjOkD+oAMkoQPk5Mc26/9v784DrKrr/4+/Z2BYZRMEEU2lxSVNA02N9kzNLf0m1lfzl6VZuZVp4ZZrKlpftSwVo4wEv0o739KKTI1KU1wHcymEVNwVRUXWub+5c86sDMOcz+vcez6f+3k+/ujcucOc++GEnBf3nvfrtGxbDt+yja39VHT1yAmHXfCLhzmz9wI9QBLOHJLgeoCazulT94Xb3sj5hVwwBQbE7LXRdkPbFyfZB9u/8926lp7Whu0/eeb19/IJDxCBqgSgo47arfxXy9BxrXJ+yd4jAAFRu8YG/zF9eFldw90dvvPK/NlnT96+T9JXP3bPE6fNfa6IBQKolgJuhdEs55fsPQIQELdjrO+XFpRKa/6yr9Vds+63Vy6YPfWIiQOSv6hGTDrm8rlcrA/UqKoEoJFd5fySvUcPkDfoAZLQA+Sq6bwGs31mb2s2/Ofr/UWrF86ZesykjZIYNHziEVPnLOS6jXb0AEnoAVKE1wPkD8bgvcEYvIQxeHePHjPm7MZD3nHGixv8lUvmXn7MnqOTGNR/+8lnz56/ogrr8x9j8BJ6gBThjcH7gwDkDQKQhAAkebwxw9u3L8+bduKe45MY1DB+/ykz5vsw0FEkApCEHiAFAcgdPUDeoAdIQg+QJO0BymLp/BlTJm9f336N9LxllVhZEOgBktADpAivB6jFEzdeft7Vc5bm/GoZ0QPkD3qAJPQASVwP34oFs8+ePLF/h2ukY7wSkB4gCWcOSXA9QM1m75y+g/zxu3J+vUyYAgOgWrVwztQjJg5KY1DLNdLEeSA41QlAb+7bPgJff2rOL5gFAQhATsrXSE8akvy9NnTi5LNnL+CdESAg1WmCPtis7n2nXXnt907cofmviotzfsUMCEAActVyjfTYJAb1237ylBnzuUIYCEJVAtDPzLa7L3180xirfzDnl+w9eoC8QQ+QhB4gybKFK3Pe48vzZ0zZf3xyO42+4/efMm1eDf8fRA+QhB4gRXg9QPvapu2l8g/2ty/k/JK9xxi8NxiDlzAGL1nS+HJF9vtq59tpHHP53Gcr8joFYwxeQg+QIrwx+FF2aYevvmxb5/ySvUcA8gYBSEIAkixprOT7j8ntNAa2jYrV3DXSBCAJPUCK8AJQX5vX4auZ1pDzS/YePUDeoAdIQg+QxKEHKLPVC8vXSHe4ncbsBbXywRE9QBJ6gBTh9QCNtTkdvvqxjc75JXuPHiB/0AMkoQdIUr3Dt2TutBP3HNN2jfTZs+e/WbXXrhR6gCScOSTB9QBNtkM7fHWIHZTzS/YeU2AAqu/ledParpFObqfxetFLAqJXlQB0Zx+b3vbFr+vq5q37S6qEAASgKK+sczuNV4teEhCx6hQhXlVf94XkgpkXzmqwb+X8ihkQgAAUa2XL7TQGdLidBvMAQBGqEoA++clxzf+lb733Ifvt2MesbmQq5xfuDXqAvEEPkIQeIEn+PUCZJbfTGNzxdhrBXBpCD5CEHiBFeD1A1r2cX7g3GIP3BmPwEsbgJZXqAcqufDuNPTdJ/kbsv30gt9NgDF5CD5AivDH4cd3L+YV7gwDkDQKQhAAkqWwPUHYtt9MYbx2ukX6j6CX1hAAkoQdIEV4A8gc9QN6gB0hCD5CkGj1A2SW306hPb6dRvkZ6WdFL6h49QBJ6gBTh9QD5gx4gf9ADJKEHSOLx4VuxoOvtNJ4pekld0QMk4cwhCa4HyB9MgQEIQHKN9KDavZ0GUDwCEAD4KbmdxpAkBg2bGMg10kAgCEAA4LWW22ls2nY7jSkzauB2GkDxCEDu6AFS0AMkoQdI4kEPUHbJNdJ16TXS+0+ZNq+o22nQAyShB0gRXg+QPxiD9wZj8BLG4CX+9ABl9sr8TtdInzht7nNVXwNj8BJ6gBSMwbsjAHmDACQhAEl86wHKbOWC2VOPKOx2GgQgCT1ACgKQO3qAvEEPkIQeIImfPUCZrV44Z+oxkzZKYtDw6t1Ogx4gCT1ACnqA3NED5A96gCQeF9mEoKYOX8vtNEZ3uJ3G/BWVfUF6gCScOST0ADljCgxATQrsdhpA8QhAAFArls6fMWXy9vXt10j7ejsNoHgEIACoLSvLt9OY2L/DNdJ0dgDrIAC5owdIQQ+QhB4gSZA9QJl1vp1GyzXS+Vw+QQ+QhB4gBT1A7hiD9wZj8BLG4CUB9wBlV75GetLQJAYNzeV2GozBS+gBUjAG744A5A0CkIQAJAm+Byi7lmukx3a8nYZ7iCEASegBUhCA3NED5A16gCT0AElqpAcou8630yhfI+1yIOgBktADpKAHyB09QP6gB0hSU0U21Rf34Xu18+00jrl87rOZfp4eIAlnDgk9QM6YAgOAsuQa6YFto2K5XSMNBIIABADRWr2wfI10h9tpzF7AGxSIBAEIAGK3ZO60E/cc03aN9Nmz579Z9JKASiMAuaMHSEEPkIQeIEkcPUDZvTxvWts10sntNF7v7pfRAyShB0hBD5A7xuC9wRi8hDF4SVQ9QJm90vV2GnO7nHIYg5fQA6RgDN4dAcgbBCAJAUgSYQ9QZsntNAZ0uJ1G23+xBCAJPUAKApA7eoC8QQ+QhB4gSbQ9QJmVR8WOmTS44+001tIDpKEHSEEPkDt6gPxBD5Ak7iIbGYcvm/LtNPbcJIlB/bf/1IX67TQixplDQg+QM6bAAMBNy+00xluHa6TfKHpJgIAABADoteR2GvUdbqexrOglAU4IQACAjFYs6Ho7jWeKXhKQEQHIHT1ACnqAJPQASegBkrT3ACW30xjU8Rppru3bEHqAFPQAuWMM3huMwUsYg5fQAyTpOgaf3E5jSBKDhk2cfDbXSPeEHiAFY/DuCEDeIABJCEASeoAk6+kBarlGetO222lMmcHtNLpFD5CCAOSOHiBv0AMkoQdIQg+QpMceoOQa6br0Gun9p0ybx7HujB4gBT1A7ugB8gc9QBKKbCQcPkXThj/gemV+p2ukT5w297kqLCwMnDkk9AA5YwoMAKpk5YLZU4+YOLC722kAxSMAAQAqZ3XL7TQ2SmLQ8IlHTJ29gPdA4AMCEACg4lpupzG67Rrps2fPX1H0khA5ApA7eoAU9ABJ6AGS0AMkae8Byu7ledParpGO9HYa9AAp6AFyxxi8NxiDlzAGL6EHSLKeMfgMls6fMWXy9vXt10jHdDsNeoAUjMG7IwB5gwAkIQBJ6AGS6AEosbJ8O42J/TtcIx3Fu+r0ACkIQO7oAfIGPUASeoAk9ABJeuwByiy622nQA6SgB8gdPUD+oAdIQpGNhMN3MC3oAAAgAElEQVSn6EUPUHbla6QnDU1i0NCavp0GZw4JPUDOmAIDAG+13E5jbDoq1nKNdD6ftgHdCC8ArV40//Zb5t3zpNO/DghAAOC5zrfTKF8jzUeWqIDAAlDjGTv3Tf5xYP0nnHxv5p8nAAFAEFYs6HQ7jWMun/ts0UtCbQkqAC062Drb5/GMe6AHyBv0AEnoAZLQAyRReoAyS66Rbr+dRvjXSNMDpIi2B+gfo5r/A6jffNIBhx5x6IGTNi93SIy4O9suGIP3BmPwEsbgJfQASfIag89g9cLyNdLp7TSGhX07DXqAFLGOwS/dwmz32e1/b700e3ezsdn+HiMAeYMAJCEASegBkhQQgFJL5k47cc8xHW+n8WZBKxHQA6SINQBdaHZS5z83TaeYnZtpH/QAeYMeIAk9QBJ6gCT59gBl1/V2GtPmvV7oejKiB0gRaw/QLrZr1/c8mybZhEz7oAfIH/QASSiykXD4FBXpAcrsla6305ib48UhlcSZQxJpD9AIu3Sd5660IZn2wRQYANSO5HYaAzrcToPP1tFbAQWgBrt2nedm2oBM+yAAAUCtWb1wztRjJg3ueDsN3mbBBgUUgLawE9Z57njbOtM+CEAAUKPKt9PYc3TaFLd9Ld9OA7kIKAAdboO6jl3dN8COzLQPeoC8QQ+QhB4gCT1Akqr2AGXXcjuN8dZ2jfSM+W8UvaRO6AFSxNoDdEedjZze8drFtbNGWN2dmfbBGLw3GIOXMAYvoQdIUtwYfAbJ7TTqO9xOY1nRS0rRA6SIdQy+dHrzH+ThB58z46Zb/3brzbMuPKx8x7xvZNsFAcgbBCAJAUhCD5AkiACUWPd2Gs8UvSR6gCTRBqDSRQ1dboXR/7yMe6AHyBv0AEnoAZLQAyQpugcos+R2GoM6XiNdYAahB0gRaw9Qs0ePHtoh/ow+NnMSpAfIH/QASSiykXD4FH70AGWW3E5jSOvtNAq7RpozhyTSHqAWq++85vSjD5v82ePOnHm/w59dpsAAIGYt10hv2nY7jSkz5gfzgR5yFloAEhGAAADJNdJ16TXS5dtp8KlofAhAAIAovTK/0zXSJ06b+1zRS0IVhReAVi+af/st8+550unDW3qAvEEPkIQeIAk9QBLPe4AyW7lg9tQjJg6s1u006AFSxNoDVNZ4xs59WyfAJpx8b+afZwzeG4zBSxiDl9ADJAloDD6D5HYaGyXnl+ETj5g6e0Flch49QIp4x+AXHdxlDH6fxzPugQDkDQKQhAAkoQdIUpsBKNVyO40xbddInz17/oqcX4EeIEW0Aegfo5r/RNZvPumAQ4849MBJm5crPkfcnW0X9AB5gx4gCT1AEnqAJMH1AGX38rxpbddI5307DXqAFLH2AC3dwmz32e3vXL80e3ezsdneyaYHyB/0AEkospFw+BSB9gBlt3T+jCmTt69vv0Z63qs57JUzhyTSHqALzU7q/DtvOsXs3Ez7YAoMAJDByvLtNCb273CNNPMvNSKgALSL7do1ODdNsgnr/4HGqesYt9slL5R3svqF59myZcuWLdvebVctnHPZFd88anBzCBr5ueNOO2rqnIWrfFgXW2F7xWGzSvmqWAAaYZeu89yVNmT9P7C/revrjS3jH881smXLli1bttm2j8+9/JiLmrfliZyTmrd/XLDGi3WxddvOKeWrYgGowa5d57mZNmD9P/DA6VO6GvPB7z/fkvyee1bfPvl0PvuJc/tcuQfIg3UEul3yyDIv1hHo9olHnvFiHYFun3/0GS/WUdx28V3TT9xz7Kgvn3T0YGsY/9+z/nTf673++dX/evTpotcf8LZp8fP57W/6kcG8A7SFnbDOc8fb1pn2wRi8NxiDlzAGL6EHSFLTY/AZJLfTqE9vp1G+RnqDw4VNP9u73/zGQR+dubYaC6xFsY7BH26DuiaO+wbYkZn2QQDyBgFIQgCS0AMkIQB1tGJBp9tpHHP53GfX+2ufeX9zVLqncSOzXf9TxSXWklgD0B11NnJ6x+nVtbNGWN2dmfZBD5A36AGS0AMkoQdIEkEPUGarFs7pdDuNqXMWrjuu/cyWNu7qlx975JUfb2ljc6yziUmsPUCl08sF5QefM+OmW/92682zLjxsbPPX38i2C3qA/EEPkIQiGwmHTxFND1BmqxfOvfyYSUOSGDSs6+00mt5ne7yQnDle+YhN4Cg6ibQHqFS6qKHLTFf/8zLugR4gAEAlNS26+TtHv3dEcpbatj1s32Cbt71x++pbbXoRa0NHQQWg0qNHD+0Qf0Yfm/mzQAIQAKAKnr3lB8d9dNwu7W/07GnXtH/3f223AtaETsIKQKXS6juvOf3owyZ/9rgzZ97v8AYiAQgAUIAVDX1faf/qzUF1S4tbC1qEFoBEuQagJ+lDF6xdxByOYMVCruIVLFu4suglhOzFRVz/6OA/9paW7dNPtWx2sAeLXE2omhY/n9/OCEDOGIOXMAYvYQxeQg+QhDF4J4+ntXUPNbZcxruT3V/ocgIV6xh8HghA3iAASQhAEnqAJAQgJ2/26dfyvu2ClgC0coi9WPCCgkQAckcPkDfoAZLQAyShB0hCD5CbDySn28ceKf/vr+3dxa4mUNH2AOWAHiB/0AMkochGwuFT0APk5lp7a/kWfi1njuXvtO8VvZ4wRdsDpGMKDABQhDXvtr3Ttx6XH2zbciF+4QhAAABU3uOjbZtfNOeeVXN2tOH/LHo1CCkAjexepn0QgAAAxfj3jmZDdp4wzGwb8o8HAgpA9datTPugB8gb9ABJ6AGS0AMkoQfI2aorJ9jp37J3Xc4fQEex9gDds11z3Nl0XFeZ9sEYvDcYg5cwBi+hB0jCGLzihcbG54peQ8CiHYN/5f1mx2m7IAB5gwAkIQBJ6AGSEIAkSQ8Q3EQbgErL3mX2c2kP9AB5gx4gCT1AEnqAJPQASZIeILiJuAfosaG26avKDugB8gc9QBKKbCQcPgU9QBLOHJKIe4B+bHaa8vNMgQEAgOACUNO7bZBy9SIBCADgiVVcSFGkwAJQ6e4zznhA+HECEADAE1+16UUvIWahBSARPUDeoAdIQg+QhB4gCT1Akqefan98vfW7rbiVhCjWHqA8MAbvDcbgJYzBS+gBkjAGL3mo4xj8ybYxn4JlEe8YvI4A5A0CkIQAJKEHSEIAknTqAVp7gG27tLi1hIcA5I4eIG/QAyShB0hCD5CEHiBJ5x6gZTva3rQy9F7EPUAyeoD8QQ+QhL8yJRw+BT1Aki5njkWj7aSCVhKkiHuAVEyBAQA88tf+dnXRa4gUAQgAgML8xBpuKXoNcSIAAQBQnFMYBSsGAcgdPUAKeoAk9ABJ6AGS0AMk6dgDlFh7IKNgvUUPkDvG4L3BGLyEMXgJPUASxuAlnXqAEsveZXtxYX6vMAbvjgDkDQKQhAAkoQdIQgCSLFg3AJUWj7avFrCUABGA3NED5A16gCT0AEnoAZLQAyTp3AOU+mt/u6rqKwkRPUDu6AHyBz1AEt4vl3D4FPQASbo/c8xgFKx36AFyxhQYAMA/p9jGOX64g94gAAEAUDBGwaqPAAQAQNFeYxSs2ghA7ugBUtADJKEHSEIPkIQeIMm6PUCpxaPtK1VdSYjoAXLHGLw3GIOXMAYvoQdIwhi8pJseoNTfGAXbIMbg3RGAvEEAkhCAJPQASQhAku56gFKMgm0QAcgdPUDeoAdIQg+QhB4gCT1Akm57gFJfZxRsA+gBckcPkD/oAZJwsaSEw6egB0jS05lj7SdsG0bBekQPkDOmwAAAvmIUrJoIQAAA+GHxGDux6DVEgwAEAIAn/tbfrix6DbEgALmjB0hBD5CEHiAJPUASeoAk6+0BSs2whj9VZyUhogfIHWPw3mAMXsIYvIQeIAlj8JL19wClvsEo2PoxBu+OAOQNApCEACShB0hCAJL00AOUYBSsBwQgd/QAeYMeIAk9QBJ6gCT0AEl66gFKvPYu+xijYN2jB8gdPUD+oAdIwl+PEg6fgh4gSS/OHIvH2AlVWEmQ6AFyxhQYAMBzjIJVBQEIAACv/NT6MgpWcQQgAAD8MsU2frToNdQ8ApA7eoAU9ABJ6AGS0AMkoQdIsqEeoER5FIyyhnXRA+SOMXhvMAYvYQxeQg+QhDF4yQZ7gBKv7cQoWDcYg3dHAPIGAUhCAJLQAyQhAEk22AOUWjzGjq/wUgJEAHJHD5A36AGS0AMkoQdIQg+QZMM9QKm/97cfVHQlIaIHyB09QP6gB0jCe+MSDp+CHiBJ788cjIJ1gx4gZ0yBAQDCcKqNYBSsgghAAAB4iFGwyiIAAQDgozd2YRSsgghA7ugBUtADJKEHSEIPkIQeIEnveoBSSzZjFKwTeoDcMQbvDcbgJYzBS+gBkjAGL+llD1Dq7oGMgnXEGLw7ApA3CEASApCEHiAJAUjS2x6g1I11fedWaikBIgC5owfIG/QASegBktADJKEHSNLrHqDUaYyCdUAPkDt6gPxBD5CECyMlHD4FPUCSrGeOpkMZBeuAHiBnTIEBAEKyfBf7AFftVwIBCAAAfy0ZZ0cVvYaaRAACAMBjdw9iFKwSCEDu6AFS0AMkoQdIQg+QhB4gSaYeoNTsuj6/y38lIaIHyB1j8N5gDF7CGLyEHiAJY/CSbD1AqdNt6IL8lxIgxuDdEYC8QQCSEIAk9ABJCECSjD1AiaZDbTzVFyUCkIIeIG/QAyShB0hCD5CEHiBJ1h6gxPJdGQUrowfIHT1A/qAHSEKRjYTDp6AHSOJ45mAULEEPkDOmwAAAAZo/yL5f9BpqDAEIAADvMQqWNwIQAAD+O4NRsHwRgNzRA6SgB0hCD5CEHiAJPUASlx6gRNOnGAWjB8gdY/DeYAxewhi8hB4gCWPwEqceoASjYIzBCwhA3iAASQhAEnqAJAQgiVMPUIpRMAKQO3qAvEEPkIQeIAk9QBJ6gCRuPUCp+YPsitxWEiJ6gNzRA+QPeoAkFNlIOHwKeoAk2pljdl2f3+a1kiDRA+SMKTAAQLjOZBQsNwQgAAAC0fQp25oPwPNBAAIAIBTLd7X3Rz4KlhcCkDt6gBT0AEnoAZLQAyShB0ji3gOUWjLOPp/LSkJED5A7xuC9wRi8hDF4CT1AEsbgJUIPUGr+IPteLksJEGPw7ghA3iAASQhAEnqAJAQgidIDlIp4FIwA5I4eIG/QAyShB0hCD5CEHiCJ1AOUincUjB4gd/QA+YMeIAlFNhIOn4IeIEkeZ46mT0c7CkYPkDOmwAAAoWMULA8EIAAAwrJk84hHwfJCAAIAIDD3DLLvFr2G0BGA3NEDpKAHSEIPkIQeIAk9QBK5Byj1syhHwegBcscYvDcYg5cwBi+hB0jCGLxE7wFKfdOGNuazp4AwBu+OAOQNApCEACShB0hCAJLk0AOUKI+C5fh2SBgIQO7oAfIGPUASeoAk9ABJ6AGS5NEDlFj+nvhGwegBckcPkD/oAZJQZCPh8CnoAZLkeOZ4enP7XG47CwQ9QM6YAgMA1Ih7BtnlRa8hYAQgAACC9LO6Pv9X9BrCRQACACBMZ9mQ+EbB8kIAckcPkIIeIAk9QBJ6gCT0AEny6gFKNP13XKNg9AC5YwzeG4zBSxiDl9ADJGEMXpJbD1AislEwxuDdEYC8QQCSEIAk9ABJCECS3HqAUnGNghGA3NED5A16gCT0AEnoAZLQAyTJrwcodc8guyznXfqLHiB39AD5gx4gCUU2Eg6fgh4gSf5njp/X1cczCkYPkDOmwAAAteVsRsGcEIAAAAhY03/bVjGNguWFAAQAQMiWv8fet6LoRYSHAOSOHiAFPUASeoAk9ABJ6AGS5NsD1LrTze3ICuzWP/QAuWMM3huMwUsYg5fQAyRhDF6Scw9Q6p7BcYyCMQbvjgDkDQKQhAAkoQdIQgCS5N0DlIpkFIwA5I4eIG/QAyShB0hCD5CEHiBJ7j1AqThGwegBckcPkD/oAZJQZCPh8CnoAZJU6swRySgYPUDOmAIDANSi5bsxCpYNAQgAgPBFMwqWFwIQAAA14N7BdmnRawgJAcgdPUAKeoAk9ABJ6AGS0AMkqUgPUOoXdfVzKrd3H9AD5I4xeG8wBi9hDF5CD5CEMXhJZXqAUufYkAcrt3cPMAbvjgDkDQKQhAAkoQdIQgCSVKgHKNF0mG31XOV2XzwCkDt6gLxBD5CEHiAJPUASeoAkleoBSrxZ46Ng9AC5owfIH/QASSiykXD4FPQASSp85nhmi9oeBaMHyBlTYACAGnbvYPufotcQCAIQAAA14xf1tT4KlhcCEAAAtePcWh8FywsByB09QAp6gCT0AEnoAZLQAySpZA9QopZHwegBcscYvDcYg5cwBi+hB0jCGLykoj1AiTd3t0k1OgrGGLw7ApA3CEASApCEHiAJAUhS0R6g1DNb2Gcr/iKFIAC5owfIG/QASegBktADJKEHSFLZHqDUvYPtO1V4meqjB8gdPUD+oAdIQpGNhMOnoAdIUp0zxy/q639TjdepOnqAnDEFBgCofecxCrZBBCAAAGpM0+G1OwqWFwIQAAC1poZHwfJCAHJHD5CCHiAJPUASeoAk9ABJKt8DlKrJUTB6gNwxBu8NxuAljMFL6AGSMAYvqUIPUOq+wfbtKr1U1TAG744A5A0CkIQAJKEHSEIAklSjByhVg6NgBCB39AB5gx4gCT1AEnqAJPQASarSA5Q634Y8UL1XqwZ6gNzRA+QPeoAkFNlIOHwKeoAk1TxzNB1uW9bYKBg9QM6YAgMAxIJRsJ4QgAAAqE3PbGH/r+g1eIsABABAjbpvsF1S9Bp8RQByRw+Qgh4gCT1AEnqAJPQASarWA5T6ZU2NgtED5I4xeG8wBi9hDF5CD5CEMXhJ9XqAUt+yjWpnFIwxeHcEIG8QgCQEIAk9QBICkKSKPUCJps/U0CgYAcgdPUDeoAdIQg+QhB4gCT1Akmr2ACXe3N3eWyujYPQAuaMHyB/0AEkospFw+BT0AEkKOHM885baGQWjB8gZU2AAgMjcN9guLnoNHiIAAQBQ035ZX//rotfgHwIQAAC17YJaGgXLCwHIHT1ACnqAJPQASegBktADJKl2D1CiPAr2bBEvnDN6gNwxBu8NxuAljMFL6AGSMAYvqXoPUOLNPWpiFIwxeHcEIG8QgCQEIAk9QBICkKTqPUCpZ99iRxTywrkiALmjB8gb9ABJ6AGS0AMkoQdIUv0eoNT9G9nUgl46P/QAuaMHyB/0AEkospFw+BT0AEmKO3P8qhZGwegBcsYUGAAgThfaRvcXvQafEIAAAIjBEbUxCpYXAhAAADGokVGwvBCA3NEDpKAHSEIPkIQeIAk9QJJieoBSL4wPfBSMHiB3jMF7gzF4CWPwEnqAJIzBSwrqAUotGBr2KBhj8O4IQN4gAEkIQBJ6gCQEIElRPUCp3/UJehSMAOSOHiBv0AMkoQdIQg+QhB4gSWE9QKmwR8HoAXJHD5A/6AGSUGQj4fAp6AGSFH7mOCroUTB6gJwxBQYAiNnKD9oejIKVEYAAAIjHC+PtUN6BLxGAAACIykND7aKi1+ADApA7eoAU9ABJ6AGS0AMkoQdIUmgPUOqmPnU3Fr0GN/QAuWMM3huMwUsYg5fQAyRhDF5SbA9Q6iIbeHfRa3DCGLw7ApA3CEASApCEHiAJAUhScA9Q6mjbzIN3orIjALmjB8gb9ABJ6AGS0AMkoQdIUnQPUGLlB22XEHMsPUDu6AHyBz1AEopsJBw+BT1AEk/OHKGOgtED5IwpMAAASg8NswuLXkPBCEAAAEQn3FGwvBCAAACIz9RQR8HyQgByRw+Qgh4gCT1AEnqAJPQASXzoAUoFOApGD5A7xuC9wRi8hDF4CT1AEsbgJV70ACVWfdAmvlH0IrKJfAx+9aL5t98y754nneYQCEDeIABJCEASeoAkBCCJHz1AiRffapP9WU1vxByAGs/Yua8l+k84+d7MP08PkDfoAZLQAyShB0hCD5DEjx6g1EPD7IKi15BJvD1Aiw62zvZ5POMe6AHyBz1AEopsJBw+BT1AEr/OHDf1qbuh6DVkEmsP0D9GNWee+s0nHXDoEYceOGnz+uavRmS8hJ0pMAAAWl1sA+8qeg1FCSgALd3CbPfZ7dcuvjR7d7Ox2a5lJAABANDmC+GNguUloAB0odlJnd/7ajrF7NxM+yAAAQDQZtWHghsFy0tAAWgX27XrR6dNk2xCpn3QA+QNeoAk9ABJ6AGS0AMk8agHKBHUKFisPUAj7NJ1nrvShmTaB2Pw3mAMXsIYvIQeIAlj8BKPeoBSDw2zbxW9ht6KdQy+wa5d57mZNiDTPghA3iAASQhAEnqAJAQgiU89QKmARsFiDUBb2AnrPHe8bZ1pH/QAeYMeIAk9QBJ6gCT0AEm86gFKXRLMKFisPUCH26Cub7ncN8COzLQPeoD8QQ+QhCIbCYdPQQ+QxMszRzijYJH2AN1RZyOnd/x7a+2sEVZ3Z6Z9MAUGAEBncY6CBRSASqeb2fCDz5lx061/u/XmWRceNrb5629k2wUBCACALoIaBctLSAGodFFDl1th9D8v4x4IQAAAdPXPYXZ+0WuotqACUOnRo4d2iD+jj818NTg9QN6gB0hCD5CEHiAJPUAS73qAUjcHMQoWaw9Qi9V3XnP60YdN/uxxZ8683+FCPMbgvcEYvIQxeAk9QBLG4CX+9QClvh3CKFisY/CZ/f3Lx3Q1aq/pz5Rz06qnl8jbVc0BKI/9RLp9ohyAPFhHoNvHG5/yYh2Bbv/VuMiLdQS6/Vfjf7xYR6DbBY1+rGPd7XVnn/WkD+voadscgPLb38wTZ5Xy5U8AOsDW9fXGln/6Pdeob196+F+57CfWbeOTfqwj1O0TnqyDbXzbxzxZR6Dbxx7yYx3dbr/6hh/rWO92zUOL89zfb0r5qkoAevRHF0y9btEGftG/p63jLTud93L53cc1L7+kb9euzWc/kW5XN/mxjkC3L3qyjkC3L3iyjjC3q1/0Yx2Bbteu8mMd3Wyf+EL/Q5o8WEdP2zVN+e3v2/sH8xHYZZe1ZrV/vDd5O+cjmT+vZAoMAIBu/XOYZZ2tDllA1wCZ7Zc8uL5f6wdafb6bcR8EIAAAundzn7r/LXoN1RNgALqzOf8MPOiMc47asjkC/TDbPghAAACsx3ds4D+KXkPVBBiAdjPb69nygzXTBtpG2RoV6AHyBj1AEnqAJPQASegBkvjaA5Q6xsb6fKPqWHuA0gD0T7Od3kyf+o3Z2Zn2QQ+QN+gBktADJKEHSEIPkMTbHqDEqg/bBI/vChZrD1AagH5k9vO25/a3XTLtgwDkDQKQhAAkWdLI+48CApBkgd8BqPTi2+wQf1cYeQC62OyFtueuslGZ9pFnAGp6+F+57StCKxf4/Dar95Y1vrDhX4T1eb6RTxAFTyxYVfQSQvbYI0WvYAP+OczOLXoN67XmocX57Sy8AHSV2Yq25260hkz7yPUaoLV8Dq5Y4++/MUKwuugFhI3Dp2haU/QKgub/meP3Po+C5XnmCC8AzTd7tO25821Mpn0wBQYAQE/+J5JRsKAC0G7/Lke/7dqLmpZvZXtn2gcBCACAHn3R71GwvAQVgMyGf/iU6y+2wf9Mnll2oNlVmfZBAAIAoEeej4LlJaAAVNd+S9ORzzR/fdfJo822zjaNQA+QN+gBktADJKEHSEIPkMTzHqDEi2+zT3p5mWasPUDL5l1x1MQBSQJ6sfnrU5q3QzPeDYwxeG8wBi9hDF5CD5CEMXiJ5z1AqYeH2zlFr6E7sY7Bt1jdeN3Je24ytPzwYrOJD2b8cQKQNwhAEgKQhB4gCQFI4nsPUOr3fequL3oN3Yg6ACVaKlBuO/22zH+M6AHyBj1AEnqAJPQASegBknjfA5TycxQs1h6gPNAD5A96gCQU2Ug4fAp6gCTBnDn8HAWLtAcoD0yBAQCwYbU/CkYAAgAAXb3k6yhYXghAAABgHb6OguWFAOSOHiAFPUASeoAk9ABJ6AGSBNEDlPp9X99GwWLtAcoDY/DeYAxewhi8hB4gCWPwkjB6gFKX2gC/RsEYg3dHAPIGAUhCAJLQAyQhAEkC6QFK+TYKRgByRw+QN+gBktADJKEHSEIPkCSUHqDEqo/Yu18vehEd0APkjh4gf9ADJKHIRsLhU9ADJAnszOHbKBg9QM6YAgMAoNceHm5nF72GCiEAAQCA9fhD37pZRa+hMghAAABgfS6zAXcWvYaKIAC5owdIQQ+QhB4gCT1AEnqAJCH1AKW+ZGOfKHoNKXqA3DEG7w3G4CWMwUvoAZIwBi8Jqgco4dEoGGPw7ghA3iAASQhAEnqAJAQgSVg9QImX3m7/5cfbfgQgd/QAeYMeIAk9QBJ6gCT0AEnC6gFKPTzczip6DS3oAXJHD5A/6AGSUGQj4fAp6AGShHnm8GYUjB4gZ0yBAQCQ1eU1OApGAAIAAD37km3qyyhYXghAAACgZ6s+6s0oWF4IQO7oAVLQAyShB0hCD5CEHiBJgD1ACS9GwegBcscYvDcYg5cwBi+hB0jCGLwkwB6g1CPD7ZtFr4ExeHcEIG8QgCQEIAk9QBICkCTEHqDUH/vWzSx4CQQgd/QAeYMeIAk9QBJ6gCT0AEmC7AFKfdcG3FHsCugBckcPkD/oAZJQZCPh8CnoAZIEfeb4cuGjYPQAOWMKDAAAN7U1CkYAAgAAveHFKFheCEAAAKBXfBgFywsByB09QAp6gCT0AEnoAZLQAyQJtgcoVewoGD1A7hiD9wZj8BLG4CX0AEkYg5eE2wOU+l6Ro2CMwbsjAHmDACQhAEnoAZIQgCQB9wClihwFIwC5owfIG/QASegBktADJKEHSBJyD1Bi9Udt56JGwegBckcPkD/oAZJQZCPh8CnoAZLUwJnjpXfYwUX9LugBcsYUGAAAkkdG2JlFryEHBCAAAJCBB3cFywEBCAAAZHFF4XcFywEByB09QAp6gCT0AEnoAZLQAyQJvQcodZ/banIAACAASURBVGwxo2D0ALljDN4bjMFLGIOX0AMkYQxeEnwPUKKgUTDG4N0RgLxBAJIQgCT0AEkIQJLwe4ASLxcyCkYAckcPkDfoAZLQAyShB0hCD5Ak/B6g1CMj7Iyqvyg9QO7oAfIHPUASimwkHD4FPUCS2jlz/LFvXd4BYsPoAXLGFBgAAHn4vg34e9FrUBCAAABAdsfamP8UvQYBAQgAAGS3ek/bOeDr6QhA7ugBUtADJKEHSEIPkIQeIEmN9AAlXn6HHVTVPw30ALljDN4bjMFLGIOX0AMkYQxeUiM9QKmFo+z0ar4eY/DuCEDeIABJCEASeoAkBCBJrfQApW7vl3uK6AkByB09QN6gB0hCD5CEHiAJPUCSmukBSk2v6igYPUDu6AHyBz1AEopsJBw+BT1Akpo7c1R3FIweIGdMgQEAkJ81+9pOYb6lSgACAACuXt2+yqNgeSEAAQAAZwtH2WlFr8EFAcgdPUAKeoAk9ABJ6AGS0AMkqakeoNTt/Wx6dV6JHiB3jMF7gzF4CWPwEnqAJIzBS2qrByg13frdXpUXYgzeHQHIGwQgCQFIQg+QhAAkqbEeoNRxNqoqf6UTgNzRA+QNeoAk9ABJ6AGS0AMkqbUeoMSafW37V6vxOvQAOaMHyB/0AEkospFw+BT0AElq9Mzx6jtt32r8waAHyBlTYAAA5G7hKDu16DVkRAACAACi2/vZD4teQzYEIAAAoJpu/W4reg2ZEIDc0QOkoAdIQg+QhB4gCT1AklrsAUodX/lRMHqA3DEG7w3G4CWMwUvoAZIwBi+pyR6gxJr9Kj4Kxhi8OwKQNwhAEgKQhB4gCQFIUps9QIlX32kfr+woGAHIHT1A3qAHSEIPkIQeIAk9QJLa7AFKPT7KplT0BegBckcPkD/oAZJQZCPh8CnoAZLU9pnjL5UeBaMHyBlTYAAAVMqPrCGYUTACEAAAyMcJNurfRa+hlwhAAAAgH+VRsFeKXkTvEIDc0QOkoAdIQg+QhB4gCT1AkhruAUpUdBSMHiB3jMF7gzF4CWPwEnqAJIzBS2q4Byj1+Cb2jUrtmzF4dwQgbxCAJAQgCT1AEgKQpJZ7gFJ/6WfXVGjXBCB39AB5gx4gCT1AEnqAJPQASWq6ByhVuVEweoDc0QPkD3qAJBTZSDh8CnqAJFGcOU60kRUaBaMHyBlTYAAAVFYYo2AEIAAAkKdXd6j0XcFyQAACAAC5quQoWF4IQO7oAVLQAyShB0hCD5CEHiBJzfcApSozCkYPkDvG4L3BGLyEMXgJPUASxuAltd8DlPqxNdya+04Zg3dHAPIGAUhCAJLQAyQhAEki6AFKfaUCo2AEIHf0AHmDHiAJPUASeoAk9ABJYugBSqzZP/9RMHqA3NED5A96gCQU2Ug4fAp6gCQRnTmW7WD75P2HhR4gZ0yBAQBQFY9vYl8veg09IAABAIAKqOBdwXJAAAIAAJVQkVGwvBCA3NEDpKAHSEIPkIQeIAk9QJJYeoBSX813FIweIHeMwXuDMXgJY/ASeoAkjMFLoukBSqzd37bLcRSMMXh3BCBvEIAkBCAJPUASApAknh6gRL6jYAQgd/QAeYMeIAk9QBJ6gCT0AEni6QFKLdrETsltZ/QAuaMHyB/0AEkospFw+BT0AEniO3PM62/TctsZPUDOmAIDAKCarrWGPxe9hu4QgAAAQOWcZCN9vGSEAAQAACon51GwvBCA3NEDpKAHSEIPkIQeIAk9QJLIeoASy3a0vXO5dIweIHeMwXuDMXgJY/ASeoAkjMFLIusBSi3axE7OYz+MwbsjAHmDACQhAEnoAZIQgCSx9QClchoFIwC5owfIG/QASegBktADJKEHSBJdD1Aqn1EweoDc0QPkD3qAJBTZSDh8CnqAJNGeOb6WyygYPUDOmAIDAKD61h5g2y0tehGdEIAAAECl5TYKlhcCEAAAqLhFo+1rRa+hIwKQO3qAFPQASegBktADJKEHSBJlD1BqXn+7WtsDPUDuGIP3BmPwEsbgJfQASRiDl8TZA5SSR8EYg3dHAPIGAUhCAJLQAyQhAEki7QFKqaNgBCB39AB5gx4gCT1AEnqAJPQASWLtAUqsPcC2VUbB6AFyRw+QP+gBklBkI+HwKegBkkR+5iiPgin//dED5IwpMAAACrNotJ1U9BpSBCAAAFAlf5VHwfJCAAIAANXyk1zuCpYDApA7eoAU9ABJ6AGS0AMkoQdIEnMPUOpk29h1hogeIHeMwXuDMXgJY/ASeoAkjMFLou4BSqw90HkUjDF4dwQgbxCAJAQgCT1AEgKQJO4eoIT7KBgByB09QN6gB0hCD5CEHiAJPUCSuHuAUotG21edfpAeIHf0APmDHiAJRTYSDp+CHiAJZ46yv/a3q5x+kB4gZ0yBAQBQtJ9Ywy1Fr4EABAAAqusU2zjHy3mcEIAAAEB1CaNgeSEAuaMHSEEPkIQeIAk9QBJ6gCT0AKVee5ftlflqPHqA3DEG7w3G4CWMwUvoAZIwBi+hB6jV4tH2law/wxi8OwKQNwhAEgKQhB4gCQFIQg9Qm79lHwUjALmjB8gb9ABJ6AGS0AMkoQdIQg9QuxmZR8HoAXJHD5A/6AGSUGQj4fAp6AGScObo4OuZR8HoAXLGFBgAAH5Ye6BtU9woGAEIAAAUwWkULC8EIAAAUIjFo+3Eol6bAOSOHiAFPUASeoAk9ABJ6AGS0APUWbZRMHqA3DEG7w3G4CWMwUvoAZIwBi+hB6iLGdbwp17/Ysbg3RGAvEEAkhCAJPQASQhAEnqAuvpGhlEwApA7eoC8QQ+QhB4gCT1AEnqAJPQAdbX2E70fBaMHyB09QP6gB0hCkY2Ew6egB0jCmWMdr73LPtbb/ybpAXLGFBgAAF5ZPKaQUTACEAAAKNDf+tuV1X9VAhAAACjST7OMguWFAOSOHiAFPUASeoAk9ABJ6AGS0APUrSm9GwWjB8gdY/DeYAxewhi8hB4gCWPwEnqAulUeBevFf5aMwbsjAHmDACQhAEnoAZIQgCT0AHXvtZ16MwpGAHJHD5A36AGS0AMkoQdIQg+QhB6g9Vg8xk7Y4C+iB8gdPUD+oAdIQpGNhMOnoAdIwpljfXo1CkYPkDOmwAAA8NFPrW9VR8EIQAAAoHin2ohHq/hyBCAAAFC8Xo6C5YUA5I4eIAU9QBJ6gCT0AEnoAZLQA9SDDY6C0QPkjjF4bzAGL2EMXkIPkIQxeAk9QD35zxg7vqfvMwbvjgDkDQKQhAAkoQdIQgCS0APUo7sH2g96+DYByB09QN6gB0hCD5CEHiAJPUASeoB6dmNd37nr/y49QO7oAfIHPUASimwkHD4FPUASzhwbcFqPo2D0ADljCgwAAH81HVqtUTACEAAA8MXyXWzPqrxJSwACAADeWDLOjqvG6xCA3NEDpKAHSEIPkIQeIAk9QBJ6gDZs/aNg9AC5YwzeG4zBSxiDl9ADJGEMXkIPUC/cWNfnpm6/wRi8OwKQNwhAEgKQhB4gCQFIQg9Qb5xmQxd09zwByB09QN6gB0hCD5CEHiAJPUASeoB6o+lQG9/dX3L0ALmjB8gf9ABJKLKRcPgU9ABJOHP0yvJd7APdXapHD5AzpsAAAPDeknF2VIVfggAEAAA8M3+Qfb+yr0AAAgAAvpld1+d3FX0BApA7eoAU9ABJ6AGS0AMkoQdIQg9Qr52+7igYPUDuGIP3BmPwEsbgJfQASRiDl9AD1GtNn1pnFIwxeHcEIG8QgCQEIAk9QBICkIQeoN5bvmvXUTACkDt6gLxBD5CEHiAJPUASeoAk9ABlsM4oGD1A7ugB8gc9QBKKbCQcPgU9QBLOHFnMH2RXdHqCHiBnTIEBABCKSo6CEYAAAICfzljPXcFyQAACAAB+avqkvb1CU5sEIHf0ACnoAZLQAyShB0hCD5CEHqCMXn+3XdD2BT1A7hiD9wZj8BLG4CX0AEkYg5fQA5TVkq+1ny0Yg3dHAPIGAUhCAJLQAyQhAEnoAVIQgNzRA+QNeoAk9ABJ6AGS0AMkoQdIQQ+QO3qA/EEPkIQiGwmHT0EPkIQzh4QeIGdMgQEAAAIQAACIUHgBaPWi+bffMu+eJ53ehCUAAQAQpMen7rfzHp+e8XpOuwssADWesXNfS/SfcPK9mX+eHiBv0AMkoQdIQg+QhB4gCT1Arpaf0GD9rjjabGxOuSWoALToYOtsn8cz7oExeG8wBi9hDF5CD5CEMXgJPUCOlr7H+h4xp/GBq3c3m5LLHkMKQP8Y1Zx56jefdMChRxx64KTN65u/GnF3tl0QgLxBAJIQgCT0AEkIQBJ6gNys3cve1pj0AP2ov12Vxy4DCkBLtzDbfXb7P9xemt0cA8dm+4ccPUDeoAdIQg+QhB4gCT1AEnqA3My0TZ9s7QG6wYY8l8MuAwpAF5qd1Dk4N51idm6mfdAD5A96gCQU2Ug4fAp6gCScOdy8y35a3iRnjoPsnBx2GVAA2sV27frnpmmSTci0D6bAAAAIzSIb0eGNxz9mPPd3L6AANMIuXee5K23I+n/gj5+a3NWIT8x6qvxvvxVPPsGWLVu2bNmyDWL7Bzu8w9ev2OAc9vvzs64v5atiAajBrl3nuZk2YP0/cJCt6+uNjUtL5UsA2LJly5YtW7ZhbH9m3+vw9csNdavy2O+vS/mqWADawk5Y57njbev1/8DTs9exzzY/XVb+AHHtq6/o2yefzmc/cW5fffwlL9YR6PaFx5Z5sY5At88++rIX6wh0+8K/lnqxjkC3Tz/pxzoC295uHypvmxY/X/76aRuZw37Pf38wH4EdboO6zp3fN8COzLSPk7r5GM0VY/ASxuAljMFL6AGSMAYvoQfIydJ+DeXyipYx+FLpJ7ZPDvsM6BqgO+ps5PTVHZ5YO2uE1d2ZaR8EIG8QgCQEIAk9QBICkIQeIDf726ml1gC0anv7cQ67DCgAlU43s+EHnzPjplv/duvNsy48bGzz19/Itos8AxA9QBJ6gCT0AEnoAZLQAyShB8jN/Lq+v0t7gJq+aO/I489gSAGodFFDl0ua+5+XcQ95BiDaHDT0AElWb/iXYP04fAp6gCScORydaw0XryyfOZ78LxuY8S4Q3QsqAJUePXpoh/gz+tjHsu4g1wAEAACqoum0Ohvz+fO/ud8AG/HHXPYYVgBq/ofbndecfvRhkz973Jkz73f4VwgBCACAEP1x55Y3P/octjif/YUWgEQEIAAAwtT4gzPPnfl8XnsjALl78un89hWftYuYwxGsWMhVvIJlC1cWvYSQvbiIq1gETz9V9ApC1rQ4t/hDABIwBi9hDF7CGLyEHiAJY/ASeoAUaQ9QPghAzghAEgKQhAAkoQdIQgCS0AOkIAC5owfIG/QASegBktADJKEHSEIPkKKlBygvBCB3tDlI6AGSUGQj4fAp6AGScOaQ5HnmIAABAIDoEIAAAEB0CEAAACA6BCB39AAp6AGS0AMkoQdIQg+QhB4gBT1A7hiD9wZj8BLG4CX0AEkYg5fQA6RgDN4dAcgbBCAJAUhCD5CEACShB0hBAHJHD5A36AGS0AMkoQdIQg+QhB4gBT1A7ugB8gc9QBKKbCQcPgU9QBLOHBJ6gJwxBQYAAAhAAAAgQgQgAAAQHQKQO3qAFPQASegBktADJKEHSEIPkIIeIHeMwXuDMXgJY/ASeoAkjMFL6AFSMAbvjgDkDQKQhAAkoQdIQgCS0AOkIAC5owfIG/QASegBktADJKEHSEIPkIIeIHf0APmDHiAJRTYSDp+CHiAJZw4JPUDOmAIDAAAEIAAAECECEAAAiA4ByB09QAp6gCT0AEnoAZLQAyShB0hBD5A7xuC9wRi8hDF4CT1AEsbgJfQAKRiDd0cA8gYBSEIAktADJCEASegBUhCA3NED5A16gCT0AEnoAZLQAyShB0hBD5A7eoD8QQ+QhCIbCYdPQQ+QhDOHhB4gZ0yBAQAAAhAAAIgQAQgAAESHAOSOHiAFPUASeoAk9ABJ6AGS0AOkoAfIHWPw3mAMXsIYvIQeIAlj8BJ6gBSMwbs7yUaOz8v2jXc1wNkujdcVvYSQHdZ4ZtFLCNk5jYcWvYSQXd/47qKXELL5jRsVvYSAva3x/3I7iY/fKK4A9F3LT/2ff5Xj3qKz2b0XFb2EkL2v8XNFLyFkRzfuUfQSQnbJPZsWvYSQ/eaW+qKXELDh/7gqx73Vzcs5Y3gdgEqLF+amcaONb4OzK0bsVPQSQvbVTQ4qegkhO2DUyUUvIWQ7jriy6CWEbNhGfyh6CQGbMWyb/M7iC3O/kNfvAJSj121w0UsI2V9tUtFLCNkP7NiilxCyY2xa0UsI2W52Z9FLCNkAe7PoJQTsYdu26CX0hACE3iAASQhAEgKQhAAkIQApCEB+IABJCEASApCEACQhAEkIQAoCkB8IQBICkIQAJCEASQhAEgKQggDkBwKQhAAkIQBJCEASApCEAKQgAPmBACQhAEkIQBICkIQAJCEAKQhAfiAASQhAEgKQhAAkIQBJCEAKApAfCEASApCEACQhAEkIQBICkIIA5AcCkIQAJCEASQhAEgKQhACkIAD5gQAkIQBJCEASApCEACQhACkIQH4gAEkIQBICkIQAJCEASQhACgKQHwhAEgKQhAAkIQBJCEASApCCAOQHApCEACQhAEkIQBICkIQApCAA+YEAJCEASQhAEgKQhAAkIQApCEB+IABJCEASApCEACQhAEkIQAoCkB8IQBICkIQAJCEASQhAEgKQggDkBwKQhAAkIQBJCEASApCEAKQgAPlh1cDNil5CyBpt36KXELKZdmrRSwjZKXZD0UsI2V72cNFLCNmYQWuKXkLAnqrfregl9CSaAFS696GiVxC0Py8pegUhW/Pb14peQsiW/ZZTkOCpW4teQdAW3Ff0CoL210VFr6An8QQgAACAFAEIAABEhwAEAACiQwACAADRIQABAIDoEIAAAEB0CEAAACA6BCAAABAdAhAAAIgOAQgAAESHAAQAAKJDAAIAANEhAAEAgOgQgAAAQHQIQAAAIDoEIAAAEB0CEAAAiA4BCAAARIcABAAAokMAAgAA0SEAAQCA6BCAAABAdAhAAAAgOgQgAAAQHQIQAACITkQB6N76kUUvIVCrZh20xYDBbz3iz0UvJExvXvWRkQ2bffSqN4peSMDONXu46DWEaFmdtbms6MWEaNl33je6YZOPXbum6IWE53zr5H+LXk+34glAr25nBCAn/9qp9c/wIa8VvZYA/fMd6dHb+m9FLyVYd/clADmZZwQgxS2bpQfvPc8VvZTgEIB88toHjADk5NktzMadeu20I/ub7b226NUE55kxZm89Z8ZFu5gNe6joxQRq+TZGAHJyhdlu+6V+U/RiwnPbALOPXD7z9NFmE1cXvZjQXL93mx3Mhv+76PV0K5YA9Ni7jADk5nNm+7d8evPQWLMfFb2a4BxmNnlF87bpTLP9il5MoI41ApCbo8z8PPEE4Y2trP6a8oMX32k2vejVhGvZdlY/t+hFdC+OANR07VAjALlZ2s82ST/5+oPZe4pdTHie72Ojk8O3drzZ0oJXE6abm//9SAByMtGGNxW9hnBdYHZ+8ujPZh8tdi0h+2+zs4pew3pEEYDmv7s5/Ry7KQHIxa/Mjmt9vIn14TOwbO7/6GZfSB/ub/ZAoWsJ1Itj7YBPEYBcrB5gHy56DQHbxrZakTxq+tblvyh2LQH7X7MJvn6AGEUAOsNszM9L4whALuZ86B0/bH28rRmXQWfW+k/wd5q9VOhCAnWIjXqWAOSk0eyUotcQrgf9feMiJC+Ptj73Fb2I9YkjAA069ZUSAUj2Rn/bqOg1hOtas/2LXkOIZpj9vEQAcnKd2fWl+Vdfcu0jRa8kRD8xm1sqLfzJRVfzzq3geLNji17DekURgO5/ufy/BCDVlWYHFr2GMK1ZctPBZlv+p+h1BGjxUPtMiQDk5mSzS7ZrGULe466i1xKer5kt+s8+LU1KezxY9GKC9VhfG/pi0YtYrygCUIIAJHp2lNkfil5EmLYu/yX66WeLXkaA1n7QNl9KAHK0Z3sNS//ZRS8mOIeY3TUiPXxDbi96NaH6nNmpRa9h/QhA6KXl7zU7qOhFhGltQ/nv0I1O5AKqzC62uvIALQHIySZmg856ZMXzs3doTkB3F72a0OxttrXt9vvXXvv9LmabPF30csL0TH8b6HGJJAEIvfPmXmZvY4zbyfKfPTj/8s3Ndnq16JWE5oF+dnx5SwBy8cIQG5mUby7/qNn7Cl5NcJr/xWf7ryo/WvEhS/4cIqvT/D5yBCD0yisfMBtHp5rgxXeZfanoRQRmxY72jpYSTgKQmxda37d4eoDZo4UuJTx7mA1J5zYf72PDuB2YgxUjrH5x0YvoAQEIvbF4R7OtyD+SB+tswLKiFxGWr1mfO1seEIBUn6DGPauPmR3W+vh9ZvcXuZZQzTH7YNFr6AkBCL3w99FmO/EhuGiCGZdSZnFrnZ2ZPCIAqc4wu6DoNQTmkx0O2TFmNxe5llAdaXZ10WvoCQEIG3bjALOP8+aF6hAz6mSz+GLn+0nbrUUvKGDnmE0teg2BmWL2rdbHJzAB62L1xtbX3xn4EgEIvXBlndnxfALuZPqH3vKn1scfN/tTT78WXRCANLdd8vW20a+jzK4rci0BmmX2+dbHh5o9VORaAnWb2V5Fr6FHBCBsyA/N6i8vehGhutjsq+nDlRtbHR8jZnHDca3ebnb4ccc9VvSCAnO62cnpw7VbmS0qci0BWlJvm6b3Plw7zoatKHY1QTrX9w9eCUDYgL/3tfpZRS8iWA+bjXg5efgdJpGdcQ2Qi+Z/f49OP7lu/lfMR4pdTID2MvtB8qjjm0HovX3M/lz0GnpEAELPljf/0/G8ohcRsE+YfbxlkvuGBqvjGmhHBCAXTRPNDlxefvTbQdbnH0UvJzh31Nvglkuf54+wfnwC5mBTq3+96DX0iACEnl1mVr/vfm28vqLNR09tbrbVeddf8TEzu6joxQSLAOTkgaFmW39r9rQDmv/wfbfoxQTo/Oa//A6eNutL/biC3MlSs82KXkPPCEDo2Q6dr0N9suj1BOffO6eHbtA1RS8lXAQgN3dtnf7h24g/fC4uHZAcvvrvFL2SIN1vtlvRa+gZAQg9aqonAIlWz/j4mIYR7zmLe6G6IwA5euPKj41u2HjiWU8VvZBALfrGjkMHv/O4R4peR5j+bDa56DX0LKIABAAAkCAAAQCA6BCAAABAdAhAAAAgOgQgAAAQHQIQAACIDgEIAABEhwAEAACiQwACAADRIQABAIDoEIAAAEB0CEAAACA6BCAAABAdAhAAAIgOAQgAAESHAAQAAKJDAAIAANEhAAEAgOgQgAAAQHQIQAAAIDoEIAAAEB0CEAAAiA4BCAAARIcABAAAokMAAgAA0SEAAQCA6BCAAABAdAhAAAAgOgQgAAAQHQIQAACIDgEIAABEhwAEAACiQwACAADRIQABAIDoEIAAAEB0CEAAACA6BCAAABAdAhAAAIgOAQgAAESHAAQAAKJDAAIAANEhAAEAgOgQgAAAQHQIQAAAIDoEIAAAEB0CEAAAiA4BCAAARIcABAAAokMAAgAA0SEAAQCA6BCAAABAdAhAAAK1+uxfFb0EAMEiAAEI1FP2yRVFrwFAqAhAAEL08BfGmlmfSTOLXgiAMBGAAHhiSxvW6187s7+lDlol7wxAhAhAADyRIbP8pa/ZXtfaR07qZ3acujMAMSIAAfBEhswy0ey80pv22dLtfazuUXFnAGJEAALgiTtundfLX/lvswlNLQGodIzZ2drOAESJAAQgOL82m1JKAtDNb99vetHLARAgAhCA4NxgdlYagADACQEIQD7G2SdLd396XMPo/Vr7CUfaUU0XbzFwmxPWlAbbW9Mnf5V+ZjXODi898fXtBg+dcO7S5DvpZTvrfqNUevWCXTYauM0pz5WG2aeav/yr2Z5dA9CySz80su/GO33lgY47+6B1sFPynVv+3/iBG2133IKKHAQAoSAAAchHcwC6um8SNQ5JCgqbA9A55S93KXUfgH43PPnlo+9v+U57AOryjdKCccnXG9+eBKCVG5v9snMAeiD9JVZ3UlP7zjoFoAnl55cdlH5V//W1FT4gAHxGAAKQj3E2rt4O/c1fvjPGbL+WZ0babn2sYYBd3H0A2nmQ7XzqRYf3N9tmdfmZtgDU9RsLm/PODpfMPHdL26ihJQCVLmgOMMc+0CEAvbGV2Seu+tnVRzRHsKvbd/bgvNR1DVb/2+YnVuxqtump1//0xKFmX6jCQQHgKwIQgHyMM6truR752W3MZpcfjGx+5uKVTX9Z0n0Asrpp5QcPDDP7Q/lBWwDq+o0DmsNKOQm9sZ9ZEoDWfqrlXZxtpz+V7nVmy2XRzX5bb+/osLPUqzuYfbv84KvN4WxZ+cHTO5XfRAIQLQIQgHw0B5ejk0f3mO1c3o5sf5el2wB0fPLM6WbnlrftAajzN+41m7Cm5YnXtkoDUKn0o62TD7z2nN/y5Zlmf0++se/O/7W81CUArdnHkneLnu1vWy1PnlvQN/lMDECcCEAA8tEcXP6VPnyf2ROllgB0W/pMtwEoyS6l35idWN62B6DO3/imWesdvy5rC0ClNf/3xZYI1PeH5a++a3bI8o6r6RSAjjPbo+WypKvMprY++QGzJ5XfL4CgEYAA5GOcbd368DSzG0stAeiN9JnuAlB9ehevv5h9ubxtC0BdvtEcp55Of3hBewAqT4EdeNmWZvXlkPVkP7NNPn/DC23f7BiArjDb4tmWR58x++avUvua/TyH3zaAMBGAAORjnO3d+vBKs8tL5QA0tPWZ7gJQ6zfvMPtiedsWgLp8Y2vr37qbFZ0D0GdLyz9tNqn8xXUNLZ+ITTjz3uSbHQLQ7/vYoPTZTlNhZlfKv2kAoSIAAcjHODuk9eG15Vt1lQPQuNZnugtAI9Nn1glAXb4xXsX9uQAABJFJREFUxIa3vUifLgGo9OpIq3um/NWCI4Ykqeb9/+yws/I3hlrdz9LHO3cOQJfIv2kAoSIAAcjHuHT4vdn3kln0bgPQrMwBaIw1tO5mZfoO0Ot3lFqLEA8wuz395twp7+lTbg96utQhAD23ldk5rT//XrOFefxeAQSPAAQgH+Nsx9aHJ5rNKXUKQENsy/TRDzIHoF3br1Z+JAlAn6i3/7QGoCPN/tS+iJeuGWV2WvvOSiv2MDukqfXb/2X2uxx+qwDCRwACkI9x1rf1GuQdrKF8F4sOAWhU2ydSn88cgL5iNit9ZloSgD5j9qPWAPQ+s3+WSr+44BvpL5ljtk/7zkqHmb279UrsUulisy+1Pj7jyHMWqb9nAMEiAAHIx7i2j5puMvt4edshAG3fElOavTQycwC602y35LYVq3ZMAtB0swlrkwC0oN7GNJUjl/07+aG/m01u39nZZps+0b7GR+ttYPrrHq63vs/n9psHEBoCEIB8NAegfv9XfvDgGKu/q/ygQwD6vNne5eH2lz5smQNQ6SNmXyknoFVHpk3Qb25idsLacgB6dofkeutvmb235Y2eNfubXdW2s+vNBs/vuMhPmW23uPzguW3TnQOIEwEIQD7GWZ3VHXrtzGP7m53a8kyHAPSP5ujy1lMv+fwQ2yd7APrXcLOdvj3rom2tj9nh5Wd+WWe22/ftg2eOav5OuQBx2ZZmY0790XXnv93snStad3bfALMv33jtlVckHm8OYOPNBn35pzO+Nszsba9U/qAA8BUBCEA+moPLt+qSG62nbcsdAlDp0vpk8nyfpdkDUOmOTZMf3vQas8+3PPOjga2j7Lu0DMGXHh7f+sSuS9p2dm3nqfdfNT//7Adav9ptSeWOBQDvEYAA5KMcXOYdtEnDVkc/mD7TMQCVHjh66/6bfHRm02qHAFRaev7E4QO2Pe3lv5qdkjzz+Ok7NVjdxh/+4er0Fy+/cu/N+g/c8pAbksuF1heASqXffWb8oH6bH3Tj2tyPAICAEIAA5KM9uFTOL82+1/bFsuQGpwDggAAEIB8VC0C//vDn0ju9lw43u6Pt+TcJQACcEYAA5KNiAegvZnu82fLounrbtq3UkAAEQEAAApCPigWgtTuabTHlhz+d+n6zvndV5jUAxIYABCAflbsG6N/bt17GvNmtFXoJALEhAAHIRwUvgl7900+8ZcDArT/2w1cr9QoAYkMAAgAA0SEAAQCA6BCAAABAdAhAAAAgOgQgAAAQHQIQAACIDgEIAABEhwAEAACiQwACAADRIQABAIDoEIAAAEB0CEAAACA6BCAAABAdAhAAAIgOAQgAAESHAAQAAKJDAAIAANEhAAEAgOgQgAAAQHQIQAAAIDoEIAAAEB0CEAAAiA4BCAAARIcABAAAokMAAgAA0SEAAQCA6BCAAABAdAhAAAAgOgQgAAAQHQIQAACIDgEIAABEhwAEAACiQwACAADRIQABAIDoEIAAAEB0CEAAACA6BCAAABAdAhAAAIgOAQgAAESHAAQAAKJDAAIAANEhAAEAgOgQgAAAQHQIQAAAIDr/H4LfXLjD2s7MAAAAAElFTkSuQmCC)
cart.1.pruned <- tree::prune.tree(tree.tree, best=4)
plot(cart.1.pruned)
text(cart.1.pruned, pretty=0, all=TRUE)
![](data:image/png;base64,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)
mean(predict(cart.1.pruned, type="class")==DVl)
## [1] 0.85
detach(package:tree)
library(rpart)
plot(tree.rpart <- rpart(DVl ~ P1l+P2l+P3l), margin=0.1)
text(tree.rpart, all=TRUE, use.n=TRUE)
![](data:image/png;base64,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)
mean(predict(tree.rpart, type="class")==DVs)
## [1] 1
## but does this go away when we prune the tree using misclassifications?
plotcp(tree.rpart) # there is no value below the dotted line, thus, we pick 0.12
![](data:image/png;base64,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)
tree.rpart.pruned <- prune(tree.rpart, cp=0.12) # what we decided on in the previous code
plot(tree.rpart.pruned, margin=0.1)
text(tree.rpart.pruned, pretty=TRUE, use.n=TRUE)
![](data:image/png;base64,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)
mean(predict(tree.rpart.pruned, type="class")==DVs)
## [1] 0.85
detach(package:rpart)
library(party)
plot(tree.ctree <- party::ctree(DVl ~ P1l+P2l+P3l))
![](data:image/png;base64,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)
mean(predict(tree.ctree)==DVs)
## [1] 1
detach(package:party)
library(partykit)
plot(tree.partykit <- ctree(DVl ~ P1l+P2l+P3l))
![](data:image/png;base64,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)
mean(predict(tree.partykit)==DVl)
## [1] 1
detach(package:partykit)
# Section 2.3: Random / conditional inference forests to the rescue? ##############################
library(randomForest)
## compute a random forest on data set 1 small
(rfs <- randomForest(DVs ~ P1s+P2s+P3s, mtry=2))
##
## Call:
## randomForest(formula = DVs ~ P1s + P2s + P3s, mtry = 2)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 2
##
## OOB estimate of error rate: 10%
## Confusion matrix:
## x y class.error
## x 9 1 0.1
## y 1 9 0.1
mean(predict(rfs)==DVs) # compute prediction accuracy
## [1] 0.9
importance(rfs) # compute variable importance scores
## MeanDecreaseGini
## P1s 1.651851
## P2s 2.950552
## P3s 3.618863
### compute partial dependency scores
(ps.1 <- partialPlot(rfs, D1, "P1s", ylim=c(-0.7, 0.7), ylab="Impact on DV='x'"))
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## $x
## [1] "a" "b"
##
## $y
## [1] 0.6987539 -0.4461811
(ps.2 <- partialPlot(rfs, D1, "P2s", ylim=c(-0.7, 0.7), ylab="Impact on DV='x'"))
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## $x
## [1] "e" "f"
##
## $y
## [1] 0.3658665 -0.3192668
(ps.3 <- partialPlot(rfs, D1, "P3s", ylim=c(-0.7, 0.7), ylab="Impact on DV='x'"))
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## $x
## [1] "m" "n"
##
## $y
## [1] 0.025000839 0.004314669
plot(
c(ps.1$y, ps.2$y, ps.3$y), xlab="",
ylim=c(-0.7, 0.7), ylab="Impact on the response being 'x'",
type="n", axes=FALSE)
text(1:6, c(ps.1$y, ps.2$y, ps.3$y), c(ps.1$x, ps.2$x, ps.3$x))
grid(); abline(h=0, lty=2); axis(2)
axis(1, at=c(1.5, 3.5, 5.5), labels=paste0("Predictor", 1:3, "'s levels"))
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)
## compute a random forest on data set 1 large
(rfl <- randomForest(DVl ~ P1l+P2l+P3l, mtry=2))
##
## Call:
## randomForest(formula = DVl ~ P1l + P2l + P3l, mtry = 2)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 2
##
## OOB estimate of error rate: 0%
## Confusion matrix:
## x y class.error
## x 100 0 0
## y 0 100 0
mean(predict(rfl)==DVl) # compute prediction accuracy
## [1] 1
importance(rfl) # compute variable importance scores
## MeanDecreaseGini
## P1l 12.93793
## P2l 20.09449
## P3l 51.40719
### compute partial dependency scores
(pl.1 <- partialPlot(rfl, D2, "P1l", ylim=c(-6, 6), ylab="Impact on DV='x'"))
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## $x
## [1] "a" "b"
##
## $y
## [1] 5.583007 -5.111478
(pl.2 <- partialPlot(rfl, D2, "P2l", ylim=c(-6, 6), ylab="Impact on DV='x'"))
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## $x
## [1] "e" "f"
##
## $y
## [1] 4.409282 -5.749225
(pl.3 <- partialPlot(rfl, D2, "P3l", ylim=c(-6, 6), ylab="Impact on DV='x'"))
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## $x
## [1] "m" "n"
##
## $y
## [1] 0.13265772 0.06094591
plot(
c(pl.1$y, pl.2$y, pl.3$y), xlab="",
ylim=c(-6, 6), ylab="Impact on the response being 'x'",
type="n", axes=FALSE)
text(1:6, c(pl.1$y, pl.2$y, pl.3$y), c(pl.1$x, pl.2$x, pl.3$x))
grid(); abline(h=0, lty=2); axis(2)
axis(1, at=c(1.5, 3.5, 5.5), labels=paste0("Predictor", 1:3, "'s levels"))
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)
detach(package:randomForest)
library(party)
## compute a conditional random forest on data set 1 small
cfs <- cforest(DVs ~ P1s+P2s+P3s, controls=cforest_control(mtry=ceiling(sqrt(3))))
mean(predict(cfs)==DVs) # compute prediction accuracy
## [1] 0.7
### compute variable importance scores
varimp(cfs)
## P1s P2s P3s
## 0.053528571 -0.008375469 -0.011546970
varimp(cfs, conditional=TRUE)
## P1s P2s P3s
## 0.04797619 -0.01015079 -0.01155570
# varimpAUC(cfs)
# varimpAUC(cfs, conditional=TRUE)
## compute a random forest on data set 1 large
cfl <- cforest(DVl ~ P1l+P2l+P3l, controls=cforest_control(mtry=ceiling(sqrt(3))))
mean(predict(cfl)==DVl) # compute prediction accuracy
## [1] 1
### compute variable importance scores
varimp(cfl)
## P1l P2l P3l
## 0.1438758 0.2251775 0.3229000
varimp(cfl, conditional=TRUE)
## P1l P2l P3l
## 0.01227272 0.20476215 0.31794746
varimpAUC(cfl)
## P1l P2l P3l
## 0.1562850 0.2571000 0.3534203
varimpAUC(cfl, conditional=TRUE)
## P1l P2l P3l
## 0.01518716 0.23984828 0.35596357
detach(package:party)
library(partykit)
## compute a conditional random forest on data set 1 small
cfs <- cforest(DVs ~ P1s+P2s+P3s)
mean(predict(cfs)==DVs) # compute prediction accuracy
## [1] 0.5
### compute variable importance scores
varimp(cfs)
## named numeric(0)
varimp(cfs, conditional=TRUE)
## named numeric(0)
## compute a random forest on data set 1 large
cfl <- cforest(DVl ~ P1l+P2l+P3l)
mean(predict(cfl)==DVl) # compute prediction accuracy
## [1] 1
### compute variable importance scores
varimp(cfl)
## P1l P2l P3l
## 2.311940 4.010550 5.147123
varimp(cfl, conditional=TRUE)
## P1l P2l P3l
## 0.1238174 3.7095522 5.0656456
detach(package:partykit)
# Section 3.1: Improving trees' and forests' performance: interaction variables as predictors #####
## create interaction variables for both data sets
P1sxP2s <- P1s:P2s; P1sxP3s <- P1s:P3s; P2sxP3s <- P2s:P3s
summary(D1 <- cbind(D1, P1sxP2s, P1sxP3s, P2sxP3s))
## P1s P2s P3s DVs P1sxP2s P1sxP3s P2sxP3s
## a:10 e:10 m:12 x:10 a:e:8 a:m:5 e:m:6
## b:10 f:10 n: 8 y:10 a:f:2 a:n:5 e:n:4
## b:e:2 b:m:7 f:m:6
## b:f:8 b:n:3 f:n:4
P1lxP2l <- P1l:P2l; P1lxP3l <- P1l:P3l; P2lxP3l <- P2l:P3l
summary(D2 <- cbind(D2, P1lxP2l, P1lxP3l, P2lxP3l))
## P1l P2l P3l DVl P1lxP2l P1lxP3l P2lxP3l
## a:100 e:100 m:120 x:100 a:e:80 a:m:50 e:m:60
## b:100 f:100 n: 80 y:100 a:f:20 a:n:50 e:n:40
## b:e:20 b:m:70 f:m:60
## b:f:80 b:n:30 f:n:40
## how do CART approaches handle the small data set with the interaction variables?
plot(tree.tree <- tree::tree(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s))
text(tree.tree, pretty=0)
![](data:image/png;base64,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)
mean(predict(tree.tree, type="class")==DVs)
## [1] 1
plot(tree.rpart <- rpart::rpart(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s), margin=0.1)
text(tree.rpart, all=TRUE, use.n=TRUE)
![](data:image/png;base64,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)
mean(predict(tree.rpart, type="class")==DVs)
## [1] 1
plot(tree.party <- party::ctree(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s))
![](data:image/png;base64,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)
mean(predict(tree.party)==DVs)
## [1] 1
plot(tree.partykit <- partykit::ctree(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s))
![](data:image/png;base64,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)
mean(predict(tree.partykit)==DVs)
## [1] 1
## how do CART approaches handle the large data set with the interaction variables?
plot(tree.tree <- tree::tree(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l))
text(tree.tree, pretty=0)
![](data:image/png;base64,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)
mean(predict(tree.tree, type="class")==DVs)
## [1] 1
plot(tree.rpart <- rpart::rpart(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l), margin=0.1)
text(tree.rpart, all=TRUE, use.n=TRUE)
![](data:image/png;base64,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)
mean(predict(tree.rpart, type="class")==DVs)
## [1] 1
plot(tree.party <- party::ctree(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l))
![](data:image/png;base64,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)
mean(predict(tree.party)==DVs)
## [1] 1
plot(tree.partykit <- partykit::ctree(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l))
![](data:image/png;base64,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)
mean(predict(tree.partykit)==DVs)
## [1] 1
## how do forests react to this?
library(randomForest)
### compute a random forest on data set 1 small
(rfs <- randomForest(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s))
##
## Call:
## randomForest(formula = DVs ~ P1s + P2s + P3s + P1sxP2s + P1sxP3s + P2sxP3s)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 2
##
## OOB estimate of error rate: 0%
## Confusion matrix:
## x y class.error
## x 10 0 0
## y 0 10 0
mean(predict(rfs)==DVs) # compute prediction accuracy
## [1] 1
importance(rfs) # compute variable importance scores
## MeanDecreaseGini
## P1s 0.3922734
## P2s 0.4098387
## P3s 0.5992698
## P1sxP2s 1.2970844
## P1sxP3s 1.7998302
## P2sxP3s 4.7386206
### compute partial dependency scores for the by far most important effect
(ps.23 <- partialPlot(rfs, D1, "P2sxP3s", ylab="Impact on DV='x'"))
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## $x
## [1] "e:m" "e:n" "f:m" "f:n"
##
## $y
## [1] 1.1554860 -0.7337640 -5.4989573 0.6205407
## compute a random forest on data set 1 large
(rfl <- randomForest(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l))
##
## Call:
## randomForest(formula = DVl ~ P1l + P2l + P3l + P1lxP2l + P1lxP3l + P2lxP3l)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 2
##
## OOB estimate of error rate: 0%
## Confusion matrix:
## x y class.error
## x 100 0 0
## y 0 100 0
mean(predict(rfl)==DVl) # compute prediction accuracy
## [1] 1
importance(rfl) # compute variable importance scores
## MeanDecreaseGini
## P1l 2.619442
## P2l 3.887269
## P3l 6.185997
## P1lxP2l 11.790335
## P1lxP3l 17.366405
## P2lxP3l 53.361195
### compute partial dependency scores for the by far most important effect
(pl.23 <- partialPlot(rfl, D2, "P2lxP3l", ylab="Impact on DV='x'"))
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## $x
## [1] "e:m" "e:n" "f:m" "f:n"
##
## $y
## [1] 5.0394694 -0.8466043 -5.4883717 0.8304328
detach(package:randomForest)
library(party)
## compute a conditional random forest on data set 1 small
cfs <- cforest(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s,
controls=cforest_control(mtry=ceiling(sqrt(6))))
mean(predict(cfs)==DVs) # compute prediction accuracy
## [1] 1
### compute variable importance scores
varimp(cfs)
## P1s P2s P3s P1sxP2s P1sxP3s P2sxP3s
## 0.0051071429 -0.0002142857 -0.0037341270 0.0136595238 0.0513515873 0.2023887446
varimp(cfs, conditional=TRUE)
## P1s P2s P3s P1sxP2s P1sxP3s P2sxP3s
## -0.0023666667 0.0005714286 -0.0022950938 0.0072666667 0.0460063492 0.1783181818
# varimpAUC(cfs)
# varimpAUC(cfs, conditional=TRUE)
## compute a conditional random forest on data set 1 large
cfl <- cforest(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l,
controls=cforest_control(mtry=ceiling(sqrt(6))))
mean(predict(cfl)==DVl) # compute prediction accuracy
## [1] 1
### compute variable importance scores
varimp(cfl)
## P1l P2l P3l P1lxP2l P1lxP3l P2lxP3l
## 0.02488977 0.02004302 0.03594787 0.07913391 0.10344119 0.32938993
varimp(cfl, conditional=TRUE)
## P1l P2l P3l P1lxP2l P1lxP3l P2lxP3l
## 0.002842231 0.012528873 0.024065912 0.038540707 0.051880157 0.302427169
varimpAUC(cfl)
## P1l P2l P3l P1lxP2l P1lxP3l P2lxP3l
## 0.02529408 0.02071179 0.03670507 0.07787176 0.10037292 0.32650967
varimpAUC(cfl, conditional=TRUE)
## P1l P2l P3l P1lxP2l P1lxP3l P2lxP3l
## 0.003667529 0.013081199 0.026005910 0.038646316 0.054449572 0.309123440
detach(package:party)
library(partykit)
## compute a conditional random forest on data set 1 small
cfs <- cforest(DVs ~ P1s+P2s+P3s+P1sxP2s+P1sxP3s+P2sxP3s)
mean(predict(cfs)==DVs) # compute prediction accuracy
## [1] 0.5
### compute variable importance scores
varimp(cfs)
## named numeric(0)
varimp(cfs, conditional=TRUE)
## named numeric(0)
## compute a conditional random forest on data set 1 large
cfl <- cforest(DVl ~ P1l+P2l+P3l+P1lxP2l+P1lxP3l+P2lxP3l)
mean(predict(cfl)==DVl) # compute prediction accuracy
## [1] 1
### compute variable importance scores
varimp(cfl)
## P1l P2l P3l P1lxP2l P1lxP3l P2lxP3l
## 2.682614 2.508443 3.027808 3.399461 3.445935 6.588357
# varimp(cfl, conditional=TRUE)
detach(package:partykit)
## find interactions
library(randomForestSRC)
rf.src <- rfsrc(DVl ~ P1l+P2l+P3l, data=D2)
find.interaction(rf.src, method="vimp")
## Pairing P1l with P2l
## Pairing P1l with P3l
## Pairing P2l with P3l
##
## Method: vimp
## No. of variables: 3
## Variables sorted by VIMP?: TRUE
## No. of variables used for pairing: 3
## Total no. of paired interactions: 3
## Monte Carlo replications: 1
## Type of noising up used for VIMP: permute
##
## Var 1 Var 2 Paired Additive Difference
## P1l:P2l 0.1277 0.3724 0.4815 0.5000 -0.0185
## P1l:P3l 0.1277 0.4144 0.4833 0.5420 -0.0587
## P2l:P3l 0.3698 0.4144 0.4371 0.7842 -0.3471
# note the big difference returned for P2l:P3l
detach(package:randomForestSRC)
library(edarf)
partial_dependence(rf.src, vars=c("P1l"), n=c(10, 20)) # partial dependence of P1l
## P1l x y
## 1 a 0.6572153 0.3427847
## 2 b 0.3031674 0.6968326
partial_dependence(rf.src, vars=c("P1l", "P2l"), interaction=TRUE, data=D2) # partial dep. of interaction P1l:P2l
## P1l P2l x y
## 1 a e 0.6113153 0.3886847
## 2 a f 0.8579153 0.1420847
## 3 b e 0.5822289 0.4177711
## 4 b f 0.3959764 0.6040236
partial_dependence(rf.src, vars=c("P2l", "P3l"), interaction=TRUE, data=D2) # partial dep. of interaction P2l:P3l
## P2l P3l x y
## 1 e m 0.96972505 0.03027495
## 2 e n 0.03734273 0.96265727
## 3 f m 0.40129876 0.59870124
## 4 f n 0.96541644 0.03458356
# note how in the latter, three predicted probabilities of x and y exceed 95%, that's the interaction
# Section 3.2: Representing random forests: representative trees ##################################
forest.4.reprtree <- randomForest::randomForest(DVl ~ P1l+P2l+P3l)
plot(reptree <- reprtree::ReprTree(forest.4.reprtree, D2, metric="d2"))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAACQAAAAYACAMAAAAUyIefAAACx1BMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU3Nzc4ODg5OTk7Ozs8PDw9PT0/Pz9BQUFERERFRUVGRkZHR0dISEhJSUlKSkpLS0tNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqamptbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OGhoaHh4eIiIiJiYmKioqLi4uNjY2Ojo6Pj4+QkJCRkZGTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWnp6eoqKiqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbIyMjJycnKysrLy8vNzc3Ozs7Pz8/Q0NDR0dHT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///8un8q/AAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nOzd+7/l2V3X+VXV16SbbjuhCdCBkIAkatqY4SIyjAkQZlqZOJjJhBB1CFcnIq0jyoxcFHWEIaBBCaijYhBzwYGohEAS1AQMA8nEQGSInVubkE6609l/xFTV6a6qVFU3C+ryXrXez+cPtdfZp+qcz+NR3/rsV9XZZ9c4AACUGekBAACuNAEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQABAHQEEANQRQEDSfePItbfe+XVvObrrfX/hqTd88rN+7NT5R8cdweGAfQkgIOnhADrp+MtO3vP2zxzjMdeM8fwHDwIIuFwEEJB0IoC+5XUn/MxrvuP3jOt+8XB48L8aT/5XD9730uvHXzsIIOByEUBA0okAeulDxzceH197OPzEuObfnnzr28cTHhRAwOUigICkswLo8KXjcw+HbxxffOqNN47xawIIuFwEEJB0dgB9w7jtxI+//iun3vi5Md59OoDuGk8680teMb7i49//jMc84X/8j4f7v+tpN3zqn7nnyo4M7EAAAUlnB9BzxuececefGn/o8EgB9JznnnrS9BPf/d+cun36R67YuMAuBBCQdFYA/Ycbx9ccnT7+X173x8aNP3s4HUB/6/l/9swvecW4bnzT29/z0mvGE6//znfc8+1j/IMrOzOwAQEEJD0cQA+860eeNI7/wtGdPzHGuO0NJ08Xeg7QK8bJJ0sfDn9sjB84efuF4xuu0LDAPgQQkHT26wCN73rozh98xp3XjU/5x4dHDKBT3yf2HeP6+07e/pnxVVdsXGAXAghIOhNA13/JK8+6/z3/wzj+U48YQPefvP3eh54y9M3jv78CgwJ7EUBA0sMvhPiGXz7nmcwPftHJ74e/cAA99tTt944/cOpWAAG/cwIISDr7u8A+0fePGz/+CAF066lbAQT87gkgIOm8APq5H37z0eH/GuNDAgi4TAQQkHReAH3e+J+PDn9pPP6RvgQmgICLJYCApPMC6C+Pm3795O1vPH68WAABl4sAApLOC6D33D6e9q8ffPC1v3fc/p8e6YUQBRBwsQQQkHT+k6DfcPsYNz52jDtOvirihf8rDAEEXCwBBCRd4LvAfvPPP/WGm575V99/8iyAgMtDAAEAdQQQsLQP3Hbbj6RnAPYjgIClvX+Mv5ueAdiPAAKWJoCAy0EAAUsTQMDlIICApQkg4HIQQMDSBBBwOQggYGkCCLgcBBBTXvXXION/G+O56Rno9e/Sy5fLRgAx4/8eAIWOPZBev1wuAogZLx3HHge/AzeMGx46XTtuvqiPdNsYN13kMDeO648Ojx2fdJEfijJjvD+9frlcBBAzXjpuSY/A1eUDdxz72VOHvz1ecHEf6RI8B+juMV5x6vA9419c5IeijADamABihgDiUX3kI+cdXzmedvL0jpvvuMgHkEsTQJ/2vpOHMwF075n33nuBXwFHBNDGBBAzBBCP4h13f/Jbzz8+f3zbiR+fNX7yIj/6JQmgrxwvPHk4E0C3v+hNh/OPcA4BtDEBxAwBxCN58JVfcfyau957zvGE9z7hurceXj5efLGf4JIE0M9/3nj14ewA+vqbxhf8/fvOPcI5BNDGBBAzBBAXds93f9Z44re/65zjkX86nvW+25/8wYv9FJckgN705us+495PeA7Qvd9353jcS371nCN8IgG0MQHEDAHEBb3ohuNf/uMfO/f4sOeOzz/+by76c1yaADr8lfG15z4J+vVffeOxZ7/n3COcRQBtTAAxQwBxQTeNl3zg/OPD3v348ZKL/xyXKIDuv/PYa8/9LrCPfv8N463nHeEMAbQxAcQMAcQF/eRzjj/2RW8493ja88dbLv5zXKIAOrzpmid/6BMC6G3fevv4gh++/5wjnE0AbUwAMUMA8Qje/uceN575Ax885/iQpQLo8K3jG88E0AM/9uxjN7zgjecc4RwCaGMCiBkCiEf04Zc9c3zSO889nrJWAN331GN3nQ6gp4zP/M57zjvCOQTQxgQQMwQQj+b1z3vbBY6rBdDh9cfH6QC66xWnn7B91hHOIYA2JoCYIYD43VgsgA7fNPxXGPzOCKCNCSBmCCB+N1YLoN96igDid0YAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG1MADFDAAGNBNDGBBAz7n37O9IjAFxxb3/7g+kRuFwEEEfuG0euvfXOr3vL0V3v/cvPuPmGz/66t508/+i4IzkdwOVh99USQBx5eAmcdPxlJ+/5pTvGuP76MW561cESADZl99USQBw5sQS+5XUn/MxrvuP3jOt+8XD46O8dn/3TDz7wc88cN73TEgA2ZffVEkAcObEEXvrQ8Y3Hx9ee/GN/7al/Dn7Pp46XWALApuy+WgKII2ctgcOXjs89HP6n8WVHb339+EJLANiU3VdLAHHk7CXwDeO2w+Hv/um/c/TWXx1PP70E7hpPOvsXffT/+MJbb/zcb/71KzgnwKVk99USQBw5ewk8Z3zOWe/5svHfPcIS+I1njHHNrWPc8i+v1JQAl5bdV0sAceSsJfAfbhxfc+Ydv3BsvPz0Evhbz/+zZ97zwBeOp//U/Yf/93nj5l+5gpMCXDp2Xy0BxJGHl8AD7/qRJ43jv3D6/g88dfyBBy78dfAT9/3nU4dnja++QlMCXFp2Xy0BxJGzXwtjfNfpuz/0R8ZNv3i48BL4svEtR4d/NG7zYqnAVcnuqyWAOHJmCVz/Ja88fe/7vmhc/5qThwstgdvGLU845XFj/MaVmxTg0rH7agkgjjz8YmBv+OWPnLnzP/7+8ZhXnzpdYAncf/bfm956xQYFuITsvloCiCNnfyfEw/79p43bXnd0vMAS+PAYr7j8cwFcTnZfLQHEkQssgZ+5ZTzplx46X+ifgR971tfLAa5Kdl8tAcSR85fAv71lPOP/e/iNCy2B/3p80dHh//yc//Zjl3U4gMvE7qslgDhy3hK498njzveffutCS+D7xvhnJ28/8FnjBZd5OoDLw+6rJYA4ct4S+JZx7GWvO/LGC78Y2Id//3jM37nv8ItffPTdogBXH7uvlgDiyLlL4L6bz3ybwx2P8HLwb//cMa478fOu++dXdFSAS8buqyWAOHLuEvj347dfAoff+p4/fOt1n/HCt1zJQQEuIbuvlgACAOoIIGb8w6f8wfQIAFfcU55yb3oELhcBxIyXjlvSIwBccWO8/7f/SVydBBAzBBDQSABtTAAxQwABjQTQxgQQMwQQ0EgAbUwAMUMAAY0E0MYEEDMEENBIAG2sJ4B+6Uf53XvReEx6hKvaP34gff1T6/3pq//qNsYPpke4qr07ff0/mpoA+ujxATHPTv8BoNYd6YufZo9LX/+PpiaA3j3GY9tcO6596HR83HCRH+vYtb/9z3l0141rHj5c7DBXnWvH09N/AKh187g+/QfgSruUq+/48Yudpnn13TCuT1//j6YpgNIjXHEfuOPYz546/O3xgvAoJ9w9xitOHb5n/IvwKFfcVwkgYm4eP5Qe4Uqz+lbxKgG0hP0D6CMfOe/4yvG0k6d33HzHAk/jO7EFPu19Jw9ntsBZLzG/96vNCyBytg8gq29dAmgNuwfQO+7+5Leef3z++LYTPz5r/GRoqrPdPb5yvPDk4cwWuP1Fbzqcf9yQACJn8wCy+lYmgNawdQA9+MqvOH7NXe8953jCe59w3VsPLx8vDs522t3j5z9vvPpw9hb4+pvGF/z9+849bkgAkbNzAFl9ixNAa9g4gO757s8aT/z2d51zPPJPx7Ped/uTP5ga7Wx3jze9+brPuPcTvhB+7/fdOR73kl8957gfAUTOvgFk9S1PAK1h3wB60Q3Hv/zHP3bu8WHPHZ9//N8kxjrPiS1w+Cvja899JuDrv/rGY89+z7nHzQggcrYNIKtvfQJoDfsG0E3jJR84//iwdz9+vORKT3RhJ7fA/Xcee+253wrx0e+/Ybz1vONeBBA52waQ1bc+AbSGfQPoJ59z/LEvesO5x9OeP94SGOoCTm6Bw5uuefKHPmELvO1bbx9f8MP3n3PcjQAiZ9sAsvrWJ4DWsG8AHQ5v/3OPG8/8gQ+ec3zIWlvg8K3jG89sgQd+7NnHbnjBG885bkgAkbNtAFl96xNAa9g5gA6HD7/smeOT3nnu8ZTFtsB9Tz121+kt8JTxmd95z3nHDQkgcjYOIKtvdQJoDXsH0Amvf97bLnBcbgscXn98nN4Cd73i9NMWzzpuSACRs3UAHay+pQmgNWwfQI9ktS1w+KbR93rwAoic3QPokVh9CxBAaxBAaQ9vgd96St8WEEDkCKCw5tUngNZQG0AsQACR0xpALEAArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0Bh1eFyoAABhtSURBVAFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFqDACJHAJEjgIgRQGsQQOQIIHIEEDECaA0CiBwBRI4AIkYArUEAkSOAyBFAxAigNQggcgQQOQKIGAG0BgFEjgAiRwARI4DWIIDIEUDkCCBiBNAaBBA5AogcAUSMAFrDPeNYegRq/UkBRMzN4++lR6DVa8YN6REeTU0AHT77mekJqPWqW747PQK1/sQn/2Z6BFrd+6lfmh7h0fQEEADAQwQQAFBHAAEAdQQQAFBHAAEAdQQQAFBHAAEAdQQQXEavHONZD59fM8ZfTM5CGRcfPCoBBJfRx+4Yx//TQ+c/Ocb/Ex2GLi4+eFQCCC6nvzjGXz86feDG8Ueys1DGxQePpiCA3vvpY/yvR8cfGuPT35OdhjK/emzceXT6wTFelp2FMi4+Yq6KB96CADr51e9r33zy8I5PGsdfm56GMl8yxr87dfii8dj/Ep6FMi4+Yq6GB96GADq8eIzP/9jh8OAXj3F3ehbavHyM/+Xk7a+M8dXpWSjj4iPnKnjgrQigD332GH/jcPiuE78d96dnoc1v3TI+9cQWOPylMf5VehbKuPjIuQoeeCsC6PCzx8dN73zz9eOmX0lPQp8Tfw969eHw8c8cT/54ehTauPjIWf+BtyOADnePcdcfGuOH0nNQ6A1jPO9w+Okx/vf0JNRx8RG0/ANvSQB99A+OE/5EegwqPX085oOHF45j70wPQh8XHznLP/CWBNDhzdeP8RnvS09Bpb85xj954LbxR9NzUMjFR9DqD7wtAXTvp4/xpHvTU1DpnuvH8147xj9Mz0EhFx9Bqz/wtgTQC0/+S9zXpKeg03PHLS8et344PQaNXHzkrP7AWxJAPz7G73vaGP88PQeVXj3GtePF6Smo5OIjZvkH3o4A+s+fMo7/3M8cG0+4Jz0JjR584om/Bv18egoqufhIWf+BtyOA/vgY33w4fN0YX5mehErfduIvQukZKOXiI2T9B96KAHr5GJ/1ocPh3jvG+JH0LDR61en/lRuuMBcfGVfBA29DAP3arWP81MnDT4xx66+Hh6HRi8a1v5megVIuPiKuhgfeggD6+B8d408dHb9qjGd5RXiutPffNJ6bnoFSLj4irooH3oIA+t4xPu39R8d3P36M781OQ58PP2eM16WHoJOLj4yr4oG3IIAg6Kef/IdvG+PL02PQyMUHj0YAweX0yydfCeyOd6XHoJGLDx6NAILL6cOfd+OnvODX0lNQycUHj0YAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQB1BBAAUEcAAQD/f7t1IAAAAAAgyN96kIuiHQECAHYECADYESAAYEeAAIAdAQIAdgQIANgRIABgR4AAgB0BAgB2BAgA2BEgAGBHgACAHQECAHYECADYESAAYEeAAIAdAQIAdgQIANgRIABgR4AAgB0BAgB2BAgA2BEgAGBHgACAHQECAHYECADYESAAYEeAAIAdAQIAdgQIANgRIABgR4AAgB0BAgB2BAgA2BEgAGBHgACAHQECAHYECADYCb/54p1JdrdUAAAAAElFTkSuQmCC)
# Section 3.3: Representing random forests: effects (plots) #######################################
## example with a version of D2 without the interactions (for the sake of simplicity)
D2.maineffects <- D2[,1:4]
### add to the data a column with the combination of predictor levels
D2.maineffects$COMBO <- apply(D2.maineffects[,1:3], 1, paste, collapse="_")
### add to the data a column that states how frequent each row's predictor combination is (just for housekeeping)
# D2.maineffects$COMBOFREQ <- table(D2.maineffects$COMBO)[D2.maineffects$COMBO]
### create all possible combinations of predictor levels
all.possible.combs <- expand.grid(
P1l=levels(D2.maineffects$P1l),
P2l=levels(D2.maineffects$P2l),
P3l=levels(D2.maineffects$P3l)
)
### add to the possible combinations a column with the combination of predictor levels
all.possible.combs$COMBO <- apply(all.possible.combs, 1, paste, collapse="_")
### add to the possible combinations a column that states how frequent each row's possible combinations is
all.possible.combs$COMBOFREQINREALDATA <- table(D2.maineffects$COMBO)[all.possible.combs$COMBO]
all.possible.combs$COMBOFREQINREALDATA[is.na(all.possible.combs$COMBOFREQINREALDATA)] <- 0
### add to the possible combinations a column that provides the predicted probability of DV=="y"
all.possible.combs$PREDPROB <- predict(
randomForest::randomForest(DVl ~ P1l + P2l + P3l, data=D2.maineffects),
newdata=all.possible.combs, type="prob")[,2]
### the effect of P1l:a on the predicted probability of DV=="y"
with(
subset(all.possible.combs, all.possible.combs$P1l=="a"), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.2618
### the effect of P1l:b on the predicted probability of DV=="y"
with(
subset(all.possible.combs, all.possible.combs$P1l=="b"), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.7386
### the predictions for P2:P3 (for DV=="y")
with(
subset(all.possible.combs, grepl("e_m", all.possible.combs$COMBO)), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.1266667
with(
subset(all.possible.combs, grepl("e_n", all.possible.combs$COMBO)), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.574
with(
subset(all.possible.combs, grepl("f_m", all.possible.combs$COMBO)), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.916
with(
subset(all.possible.combs, grepl("f_n", all.possible.combs$COMBO)), {
weighted.mean(PREDPROB, COMBOFREQINREALDATA)
})
## [1] 0.363
# Section 3.4: Representing random forests: global surrogate models ###############################
library(MASS)
predicted.categories <- predict(rfl, type="class")
summary(gsm <- stepAIC(glm(predicted.categories ~ P1l*P2l*P3l, family=binomial)))
## [omitted some messages/output, STG]
## Call:
## glm(formula = predicted.categories ~ P2l + P3l + P2l:P3l, family = binomial)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.409e-06 -2.409e-06 0.000e+00 2.409e-06 2.409e-06
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -26.57 45975.41 -0.001 1.000
## P2lf 53.13 65019.06 0.001 0.999
## P3ln 53.13 72693.41 0.001 0.999
## P2lf:P3ln -106.26 102804.08 -0.001 0.999
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 2.7726e+02 on 199 degrees of freedom
## Residual deviance: 1.1603e-09 on 196 degrees of freedom
## AIC: 8
##
## Number of Fisher Scoring iterations: 25
## because of the perfect fit in the simulated data, we're running into convergence problems and are getting ns results with huge CIs - in real data, this does not happen, see below
## perfect accuracy
table(
ifelse(predict(gsm)>=0, "y", "x"), # the dichotomized predictions from the gsm
predicted.categories) # the actually predicted categories from the random forest
## predicted.categories
## x y
## x 100 0
## y 0 100
## recovers the interaction and nothing else: generate an effects plot of the gsm
plot(effects::allEffects(gsm), type="response",
ylim=c(0, 1), ylab="Predicted probability of DV=y",
multiline=TRUE, grid=TRUE)
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## demonstration that, with real data, gsms do not run into the convergence issues from above
rm(list=ls(all=TRUE)); set.seed(314)
# generate the clause-orders data from Gries (2013: Section 5.3)
x<-structure(list(
CASE=c(4777,1698,953,1681,4055,967,2658,2502,4455,2368,1729,4546,586,4608,935,2108,4317,4318,2385,4723,3267,4558,1747,623,4507,138,80,952,2602,599,4037,4467,4324,2928,4728,4473,1688,3805,2472,84,997,998,988,474,4737,4523,4805,4808,4802,1063,4841,4769,4531,1677,1649,4813,4882,4293,4544,4763,4552,4881,3024,2614,4069,4278,4861,2517,4509,941,4838,2619,2530,2485,4878,4495,4458,4468,4859,4610,1017,4568,1638,1256,1938,1724,964,1784,1661,619,4503,4604,4778,3617,450,1117,2383,2018,2574,131,2382,4672,2017,3570,5052,4897,1783,4670,3926,3701,4974,2822,5051,452,1184,3489,4896,3616,2820,3925,2818,5053,2825,1118,2576,141,2819,2456,4673,1182,904,4898,2648,4671,905,4899,130,454,2575,4675,2834,2849,1855,2838,4151,2459,4154,4148,2024,456,1285,2832,62,4144,10,4453,3764,2839,2830,4149,4155,4145,2835,4159,9,2020,2846,3927,2841,223,4143,4156,458,4680,3210,4674,4679,4677,3490,2579,4681,2845,1555,63,3928,2844,2847,3763,2842,2831,2577,3211,4902,2837,2458,4146,4152,4153,2827,4147,2457,2840,1186,4452,2731,332,3547,4092,4078,2409,326,1795,823,2754,4646,2751,4341,324,4087,2746,1796,3546,4633,1809,1432,327,330,341,1799,329,1808,4339,2421,1103,2742,3889,2552,4629,4081,4090,2728,122,1307,2752,4110,2662,2732,4099,351,4097,4089,2729,3171,3166,821,2005,1441,4335,349,316,3542,2550,2748,825,3552,3184,3993,2,2736,3173,3176,1804,4338,4094,2422,2741,4080,4084,3545,1442,3179,1304,3177,3549,3543,1100,1309,2740,328,4100,2418,2554,1810,1440,2423,4098,3170,2758,2405,1779,4107,1803,1308,1811,101,3178,3994,2420,4642,333,339,2663,3169,2543,2553,322,1272,321,4334,2756,4648,2750,3551,4108,3744,2749,822,4103,323,102,2664,3746,4105,1434,348,347,3550,4085,1104,4637,4636,343,345,3168,103,4639,3845,3548,2747,3181,1429,4643,2735,1793,1439,1792,1305,831,2406,4640,2734,4079,4101,820,1800,824,2226,4631,3890,2006,3167,2545,4102,342,3745,352,3180,4093,2551,2425,4106,2640,5043,4647,2737,1433,1797,4109,1798,354,355,2743,3182,4638,2757,829,318,4644,1794,4095,2733,350,208),
ORDER=structure(c(2,1,2,1,2,2,1,2,2,2,2,2,2,1,2,2,1,1,2,1,1,1,2,2,2,2,2,1,1,2,2,2,1,1,2,1,2,1,2,2,1,2,2,2,1,1,2,1,1,2,2,2,1,1,2,2,2,1,2,1,1,1,1,2,2,2,1,2,2,2,2,2,1,2,1,2,2,2,2,2,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,2,1,1,2,2,2,1,1,1,2,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,2,2,2,1,1,2,1,2,2,1,2,1,1,1,2,2,2,2,1,2,1,1,1,2,2,2,1,2,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,1,2,1,1,2,2,1,2,2,1,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2),.Label=c("mc-sc","sc-mc"),class="factor"),
SUBORDTYPE=structure(c(2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1),.Label=c("caus","temp"),class="factor"),
LEN_MC=c(4,7,12,6,9,9,9,4,6,4,15,11,10,5,6,9,10,8,13,6,14,5,6,10,14,11,7,4,2,7,24,4,5,6,5,4,18,11,5,10,3,5,10,8,4,5,4,6,6,18,3,10,10,4,10,10,7,8,15,6,11,10,7,9,10,10,5,16,8,12,17,6,7,17,5,10,9,7,5,9,3,7,5,4,4,3,6,5,8,12,11,4,4,12,17,3,3,8,3,5,5,4,11,11,8,7,11,10,7,19,9,7,6,10,23,5,24,6,12,10,9,9,17,4,7,11,13,6,10,18,6,4,6,9,16,15,10,17,5,4,6,13,8,10,3,16,12,7,7,17,18,10,8,8,16,7,14,6,13,3,14,12,15,9,8,11,7,6,15,6,6,12,12,5,12,10,22,17,15,15,3,13,5,31,5,11,7,12,8,4,4,8,5,9,29,6,8,10,5,22,13,10,9,28,9,9,19,7,8,6,6,7,5,10,15,13,8,4,5,9,8,6,6,11,10,14,8,9,3,6,9,12,5,16,5,16,7,8,14,8,4,3,8,13,15,5,7,9,9,17,6,9,12,4,7,6,15,9,14,10,17,6,7,11,8,5,5,24,6,7,11,26,11,17,19,6,9,16,17,11,7,5,5,6,9,11,5,6,7,7,4,8,13,10,14,6,3,7,6,9,7,18,10,16,31,4,5,9,8,4,9,5,7,6,6,4,23,10,6,10,11,9,27,7,14,7,3,4,12,15,7,6,10,6,9,3,9,3,7,14,10,3,6,11,20,15,4,15,3,18,5,15,5,12,13,7,6,7,9,4,9,10,5,5,6,6,8,5,9,5,5,11,12,10,8,8,11,15,7,4,7,8,8,5,8,5,7,7,19,9,17,8,24,9,7,7,3,9,13,10,8,8,9),
LEN_SC=c(10,6,7,15,5,5,12,2,24,11,4,3,11,11,6,11,11,7,7,13,4,3,4,5,20,5,3,5,9,6,8,10,17,11,9,6,18,15,4,20,14,3,12,11,4,10,4,5,7,7,4,7,4,7,22,7,12,22,6,9,2,6,17,4,2,10,10,4,3,2,8,4,17,4,10,7,5,6,2,7,14,16,5,5,3,3,3,6,5,6,8,3,10,5,14,7,5,5,4,8,6,6,6,9,12,2,19,6,10,13,5,9,13,7,6,8,5,5,9,11,6,8,4,3,3,4,4,13,17,8,4,3,4,8,5,3,5,6,9,8,12,14,7,14,8,5,9,21,14,7,14,7,20,21,15,16,18,4,11,7,8,15,10,6,29,6,14,8,13,5,9,11,21,5,10,12,17,8,10,7,4,14,4,13,4,11,9,5,10,12,6,8,8,7,4,9,5,6,14,7,4,15,6,12,4,7,7,15,7,13,9,11,23,7,14,4,8,17,8,10,22,9,9,20,8,5,5,10,7,15,7,2,5,7,5,15,6,9,19,11,4,3,8,16,6,13,7,7,20,18,8,8,4,11,13,10,7,6,12,7,23,6,10,10,5,6,7,11,10,6,9,13,10,17,10,8,8,13,12,9,5,10,6,18,13,18,10,13,5,8,8,5,15,9,13,9,8,10,5,16,10,9,10,6,16,19,6,4,5,21,29,21,8,5,7,9,5,13,5,7,17,16,17,12,4,9,11,12,9,15,7,9,5,5,6,3,5,5,10,8,6,7,5,11,19,5,11,14,26,5,4,5,10,17,9,8,5,9,10,36,9,16,8,20,14,6,17,12,5,7,6,9,13,15,10,20,8,17,4,3,9,4,8,6,14,2,5,14,9,18,18,9,6,7,6,6,11,11,23,7,5,11,6),
LENGTH_DIFF=c(-6,1,5,-9,4,4,-3,2,-18,-7,11,8,-1,-6,0,-2,-1,1,6,-7,10,2,2,5,-6,6,4,-1,-7,1,16,-6,-12,-5,-4,-2,0,-4,1,-10,-11,2,-2,-3,0,-5,0,1,-1,11,-1,3,6,-3,-12,3,-5,-14,9,-3,9,4,-10,5,8,0,-5,12,5,10,9,2,-10,13,-5,3,4,1,3,2,-11,-9,0,-1,1,0,3,-1,3,6,3,1,-6,7,3,-4,-2,3,-1,-3,-1,-2,5,2,-4,5,-8,4,-3,6,4,-2,-7,3,17,-3,19,1,3,-1,3,1,13,1,4,7,9,-7,-7,10,2,1,2,1,11,12,5,11,-4,-4,-6,-1,1,-4,-5,11,3,-14,-7,10,4,3,-12,-13,1,-9,-4,2,2,-4,6,-3,5,3,-21,5,-7,-2,2,1,-3,1,-9,0,2,-2,5,9,5,8,-1,-1,1,18,1,0,-2,7,-2,-8,-2,0,-3,2,25,-3,3,4,-9,15,9,-5,3,16,5,2,12,-8,1,-7,-3,-4,-18,3,1,9,0,-13,-3,-1,-14,-3,-3,-9,2,9,3,-1,-4,-9,2,10,0,9,0,1,1,-1,-5,-3,0,0,0,-3,9,-8,0,2,-11,-1,-2,1,8,-7,-6,-4,8,3,2,3,-6,0,-3,1,3,-1,-2,13,-4,1,2,13,1,0,9,-2,1,3,5,2,2,-5,-1,-12,-4,-7,-5,-7,2,-1,-4,3,-2,1,1,-3,-5,-3,1,-7,-3,9,0,10,15,-15,-1,5,3,-17,-20,-16,-1,1,-1,-5,18,-3,1,3,-6,-7,10,-5,10,-2,-8,-8,3,0,0,-3,5,1,3,0,4,-2,-3,6,4,-4,1,0,1,10,-7,1,-23,13,1,10,-5,-5,4,-1,1,-2,-1,-32,0,-6,-3,-15,-8,0,-9,-7,4,-2,-1,2,-1,-5,-2,-12,3,-2,3,1,-2,4,0,-1,-6,3,2,-7,10,-9,-1,-1,18,2,1,1,-8,-2,-10,3,3,-3,3),
CONJ=structure(c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4),.Label=c("als/when","bevor/before","nachdem/after","weil/because"),class="factor"),
MORETHAN2CL=structure(c(1,1,2,1,2,2,1,2,1,1,2,1,2,2,2,1,1,1,1,1,2,2,2,2,2,1,2,2,1,2,2,1,2,1,2,2,2,2,1,2,1,1,1,2,2,2,2,1,1,2,2,2,1,2,2,1,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,1,2,1,1,2,1,2,1,1,2,2,2,2,2,2,2,1,1,2,2,1,1,2,2,1,1,1,1,1,2,1,2,1,2,2,2,2,1,1,2,2,1,1,1,1,1,1,2,1,2,1,1,2,2,1,1,1,2,2,2,2,2,2,2,1,2,1,2,1,1,1,2,2,2,2,2,2,2,1,1,2,2,2,1,1,2,1,2,2,2,1,1,2,1,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,2,1,2,2,1,2,1,1,2,2,1,2,2,1,1,2,2,2,1,1,1,1,1,1,2,1,1,2,2,1,1,2,2,1,2,2,1,2,1,2,2,2,2,1,1,2,2,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,2,1,1,2,1,1,2,1,2,2,1,2,2,2,2,1,1,2,1,1,1,1,2,2,1,2,2,2,2,2,2,2,1,2,1,2,2,2,2,1,1,1,1,2,1,1,2,2,2,1,2,1,1,1,1,2,2,2,1,1,2,2,1,1,1,2,2,1,1,1,2,2,2,2,2,1,1,2,2,2,1,1,1,1,2,2,2,1,2,2,2,2,1,1,1,1,2,2,1,2,2,1,2,1,1,1,1,1,2,1,1,1,2,1,2,1,1,2,1,2,1,2,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,1,2,2,1,1,2,2,1,2),.Label=c("no","yes"),class="factor")),
class="data.frame",row.names=c(NA,-403))
x$LEN_MC <- log2(x$LEN_MC)
x$LEN_SC <- log2(x$LEN_SC)
x$LENGTH_DIFF <- x$LEN_MC-x$LEN_SC
x$SUBORDTYPE <- factor(x$SUBORDTYPE,
levels=levels(x$SUBORDTYPE)[2:1])
x$CONJ <- factor(x$CONJ,
levels=levels(x$CONJ)[c(4,2,1,3)])
### fit a random forest on these data and add categorical as well as numeric predictions to the data
rf <- randomForest::randomForest(ORDER ~ SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL, data=x)
x$PREDCAT <- predict(rf, type="class")
x$PREDNUM <- car::logit(predict(rf, type="prob")[,"sc-mc"], adjust=0.01)
### fit a gsm on the numeric predictions from the rf
summary(gsm.num.01 <- lm(PREDNUM ~ 1, data=x))
##
## Call:
## lm(formula = PREDNUM ~ 1, data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -3.0903 -2.1124 0.2595 1.7787 5.6928
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.5048 0.1058 -14.22 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.124 on 402 degrees of freedom
(temp <- add1(gsm.num.01,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ 1
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 1813.56 608.16
## SUBORDTYPE 1 1317.90 495.66 87.40 1066.2055 < 2.2e-16 ***
## LEN_MC 1 4.43 1809.13 609.17 0.9822 0.32226
## LEN_SC 1 80.55 1733.00 591.85 18.6395 1.992e-05 ***
## LENGTH_DIFF 1 75.20 1738.36 593.09 17.3467 3.816e-05 ***
## CONJ 3 1344.82 468.73 68.89 381.5857 < 2.2e-16 ***
## MORETHAN2CL 1 21.53 1792.03 605.34 4.8183 0.02873 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(gsm.num.02 <- lm(PREDNUM ~ CONJ, data=x))
##
## Call:
## lm(formula = PREDNUM ~ CONJ, data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.4805 -0.8121 -0.0964 0.5832 3.6394
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.33577 0.07683 -43.42 <2e-16 ***
## CONJbevor/before 2.96025 0.17732 16.70 <2e-16 ***
## CONJals/when 3.88434 0.13614 28.53 <2e-16 ***
## CONJnachdem/after 3.69936 0.15484 23.89 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.084 on 399 degrees of freedom
## Multiple R-squared: 0.7415, Adjusted R-squared: 0.7396
## F-statistic: 381.6 on 3 and 399 DF, p-value: < 2.2e-16
(temp <- add1(gsm.num.02,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ CONJ
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 468.73 68.892
## SUBORDTYPE 0 0.0000 468.73 68.892
## LEN_MC 1 7.3358 461.40 64.535 6.3278 0.0122786 *
## LEN_SC 1 10.6872 458.05 61.597 9.2862 0.0024628 **
## LENGTH_DIFF 1 20.4945 448.24 52.875 18.1975 2.491e-05 ***
## MORETHAN2CL 1 17.3222 451.41 55.717 15.2727 0.0001093 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(gsm.num.03 <- lm(PREDNUM ~ CONJ + LENGTH_DIFF, data=x))
##
## Call:
## lm(formula = PREDNUM ~ CONJ + LENGTH_DIFF, data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.2662 -0.7424 -0.1106 0.5625 3.4668
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.30836 0.07550 -43.818 < 2e-16 ***
## CONJbevor/before 2.83875 0.17594 16.135 < 2e-16 ***
## CONJals/when 3.83611 0.13378 28.675 < 2e-16 ***
## CONJnachdem/after 3.66800 0.15179 24.165 < 2e-16 ***
## LENGTH_DIFF 0.22810 0.05347 4.266 2.49e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.061 on 398 degrees of freedom
## Multiple R-squared: 0.7528, Adjusted R-squared: 0.7504
## F-statistic: 303.1 on 4 and 398 DF, p-value: < 2.2e-16
(temp <- add1(gsm.num.03,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ CONJ + LENGTH_DIFF
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 448.24 52.875
## SUBORDTYPE 0 0.0000 448.24 52.875
## LEN_MC 1 0.0483 448.19 54.831 0.0428 0.8362
## LEN_SC 1 0.0483 448.19 54.831 0.0428 0.8362
## MORETHAN2CL 1 18.0923 430.15 38.271 16.6982 5.305e-05 ***
## LENGTH_DIFF:CONJ 3 29.6663 418.57 31.279 9.3319 5.659e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(gsm.num.04 <- lm(PREDNUM ~ CONJ + LENGTH_DIFF + MORETHAN2CL, data=x))
##
## Call:
## lm(formula = PREDNUM ~ CONJ + LENGTH_DIFF + MORETHAN2CL, data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.4499 -0.7632 -0.1308 0.6080 3.2758
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.53682 0.09279 -38.116 < 2e-16 ***
## CONJbevor/before 2.86177 0.17266 16.575 < 2e-16 ***
## CONJals/when 3.82607 0.13124 29.153 < 2e-16 ***
## CONJnachdem/after 3.65398 0.14892 24.536 < 2e-16 ***
## LENGTH_DIFF 0.23239 0.05246 4.430 1.22e-05 ***
## MORETHAN2CLyes 0.42584 0.10421 4.086 5.30e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.041 on 397 degrees of freedom
## Multiple R-squared: 0.7628, Adjusted R-squared: 0.7598
## F-statistic: 255.4 on 5 and 397 DF, p-value: < 2.2e-16
(temp <- add1(gsm.num.04,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ CONJ + LENGTH_DIFF + MORETHAN2CL
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 430.15 38.271
## SUBORDTYPE 0 0.000 430.15 38.271
## LEN_MC 1 0.006 430.14 40.265 0.0053 0.94175
## LEN_SC 1 0.006 430.14 40.265 0.0053 0.94175
## LENGTH_DIFF:CONJ 3 32.633 397.51 12.476 10.7814 8.004e-07 ***
## LENGTH_DIFF:MORETHAN2CL 1 4.726 425.42 35.818 4.3993 0.03659 *
## CONJ:MORETHAN2CL 3 7.455 422.69 37.225 2.3162 0.07526 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(gsm.num.05 <- lm(PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL, data=x))
##
## Call:
## lm(formula = PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL, data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.1098 -0.7248 -0.1214 0.5886 2.9924
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.584675 0.090046 -39.810 < 2e-16 ***
## CONJbevor/before 3.011301 0.176446 17.066 < 2e-16 ***
## CONJals/when 3.819745 0.126802 30.124 < 2e-16 ***
## CONJnachdem/after 3.678378 0.143838 25.573 < 2e-16 ***
## LENGTH_DIFF -0.008743 0.075435 -0.116 0.90779
## MORETHAN2CLyes 0.460968 0.100898 4.569 6.58e-06 ***
## CONJbevor/before:LENGTH_DIFF -0.046060 0.170478 -0.270 0.78716
## CONJals/when:LENGTH_DIFF 0.619720 0.120111 5.160 3.93e-07 ***
## CONJnachdem/after:LENGTH_DIFF 0.440759 0.152566 2.889 0.00408 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.004 on 394 degrees of freedom
## Multiple R-squared: 0.7808, Adjusted R-squared: 0.7764
## F-statistic: 175.4 on 8 and 394 DF, p-value: < 2.2e-16
(temp <- add1(gsm.num.05,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 397.51 12.4756
## SUBORDTYPE 0 0.0000 397.51 12.4756
## LEN_MC 1 0.0720 397.44 14.4027 0.0712 0.78976
## LEN_SC 1 0.0720 397.44 14.4027 0.0712 0.78976
## LENGTH_DIFF:MORETHAN2CL 1 5.4045 392.11 8.9590 5.4168 0.02045 *
## CONJ:MORETHAN2CL 3 9.0303 388.48 9.2151 3.0296 0.02934 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(gsm.num.06 <- lm(PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL + CONJ:MORETHAN2CL, data=x))
##
## Call:
## lm(formula = PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL + CONJ:MORETHAN2CL,
## data = x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.1999 -0.7148 -0.1352 0.5763 3.1280
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.424136 0.104441 -32.785 < 2e-16 ***
## CONJbevor/before 2.697734 0.233250 11.566 < 2e-16 ***
## CONJals/when 3.536397 0.188184 18.792 < 2e-16 ***
## CONJnachdem/after 3.300215 0.216885 15.216 < 2e-16 ***
## LENGTH_DIFF -0.005828 0.074865 -0.078 0.93799
## MORETHAN2CLyes 0.163046 0.141747 1.150 0.25074
## CONJbevor/before:LENGTH_DIFF -0.070114 0.170111 -0.412 0.68044
## CONJals/when:LENGTH_DIFF 0.623488 0.119304 5.226 2.82e-07 ***
## CONJnachdem/after:LENGTH_DIFF 0.470043 0.152615 3.080 0.00222 **
## CONJbevor/before:MORETHAN2CLyes 0.636121 0.328549 1.936 0.05357 .
## CONJals/when:MORETHAN2CLyes 0.516470 0.252265 2.047 0.04129 *
## CONJnachdem/after:MORETHAN2CLyes 0.679252 0.289966 2.343 0.01965 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9968 on 391 degrees of freedom
## Multiple R-squared: 0.7858, Adjusted R-squared: 0.7798
## F-statistic: 130.4 on 11 and 391 DF, p-value: < 2.2e-16
(temp <- add1(gsm.num.06,
scope= ~ (SUBORDTYPE + LEN_MC + LEN_SC + LENGTH_DIFF + CONJ + MORETHAN2CL)^2,
test="F"))
## Single term additions
##
## Model:
## PREDNUM ~ CONJ * LENGTH_DIFF + MORETHAN2CL + CONJ:MORETHAN2CL
## Df Sum of Sq RSS AIC F value Pr(>F)
## <none> 388.48 9.2151
## SUBORDTYPE 0 0.0000 388.48 9.2151
## LEN_MC 1 0.0953 388.39 11.1162 0.0957 0.75722
## LEN_SC 1 0.0953 388.39 11.1162 0.0957 0.75722
## LENGTH_DIFF:MORETHAN2CL 1 3.7910 384.69 7.2632 3.8433 0.05066 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(effects::allEffects(gsm.num.06), ylab="Logit of pred. prob. of sc-mc", grid=TRUE)
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#### these results are quite compatible with what a regular logistic regression on these data would return