From 76fc16ee9ed56fddeadf8c30ef9b5bff9bbcd83f Mon Sep 17 00:00:00 2001 From: bouwerutger Date: Fri, 29 Aug 2025 11:58:44 +0100 Subject: [PATCH 1/5] Added new Rcpp function: DAMOCLES_sim_fast --- R/RcppExports.R | 4 + src/DAMOCLES.so | Bin 0 -> 1537480 bytes src/DAMOCLES_integrate_odeint.o | Bin 5579623 -> 2661520 bytes src/DAMOCLES_sim_fast.cpp | 183 ++++++++++++++++++++++++++++++++ src/DAMOCLES_sim_fast.o | Bin 0 -> 703976 bytes src/RcppExports.cpp | 14 +++ src/RcppExports.o | Bin 1304595 -> 674480 bytes 7 files changed, 201 insertions(+) create mode 100755 src/DAMOCLES.so create mode 100644 src/DAMOCLES_sim_fast.cpp create mode 100644 src/DAMOCLES_sim_fast.o diff --git a/R/RcppExports.R b/R/RcppExports.R index 4401ff8..78fc54a 100644 --- a/R/RcppExports.R +++ b/R/RcppExports.R @@ -8,3 +8,7 @@ DAMOCLES_integrate_odeint <- function(ry, times, M, atol, rtol, stepper) { .Call('_DAMOCLES_DAMOCLES_integrate_odeint', PACKAGE = 'DAMOCLES', ry, times, M, atol, rtol, stepper) } +DAMOCLES_sim_cpp <- function(pa, gamma, mu) { + .Call('_DAMOCLES_DAMOCLES_sim_cpp', PACKAGE = 'DAMOCLES', pa, gamma, mu) +} + diff --git a/src/DAMOCLES.so b/src/DAMOCLES.so new file mode 100755 index 0000000000000000000000000000000000000000..29e469e2a7b266bb07572ae77a17490ccb982b96 GIT binary patch literal 1537480 zcmeFa34C2;o&SGMZqwehRJLNv)+7dKO4aJ1(hA6J15!W{>%!hr%2qd&#jWE^IvEE9 zb$Ss;Mdwe_048-DQAceY9l$t>==>zO;BL|dQWzD~(PXAE|M%y6&U5c`PtM&^mhm<1 z>y_Sf&U2payMMpW_j%5D|NB>e+Aj#gfPXXjJBYvTSwZmL&I9!*IF!Hp8iHW$+Si_X z?rZH);y=~$|3&wWJknn_E?T?x+RNT~ZSlQid!4OO**jOORuJgEq~#ewrxnEitzCP~ zwbxy8P2o|py|HWJc3v92qI;%M_?L~_WA64ZYH#h8m%Zt&mtD=1WP9)Y=cv6~qMtzb zetW@`@ojj^hHKYeb@}DjTy`zPOt!b*zeEik5cjWpzrAP2&)v`3wO6cPzxJ|suD|T9 z*RH*G-6hHPj)>d)%Oj&2y7$|2?YQ5yYu8`(mTQU#Nw)XVp=f;Xis!5QjH{gTOMBN` zd-aC5ToIQg+dJ@~sG(m$Tl(kjqq|_rSl6z-?k(@w@Rm#0Zg|V(SMgG^z2KKodp~N4 zTj0LZd_~8j*3Ky_Ub|v#$E(hIO-#)(mF41g9M#45nzR1Ywr~X=t|~%J_v!7u^=MwU ze=|$qrrw5U#6|o}#Y1U(Z#_C1-vRM3bzcb&n&&dOIT}~7pCFf*XX4(?)3v>J?VHxE 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-0,0 +1,183 @@ +#include +#include +#include +using namespace Rcpp; + + +// [[Rcpp::export]] +IntegerVector DAMOCLES_sim_cpp(Rcpp::DataFrame pa, double gamma, double mu) { + + double tstep = 0, wt, event; + IntegerVector extant = pa["extant"]; + IntegerVector state = pa["state"]; + std::vector start = pa["age.start"]; + std::vector end = pa["age.end"]; + std::vector parent = pa["p"]; + std::vector daugther = pa["d"]; + + double tlastevent = *std::max_element(end.begin(), end.end()); + + int nExt = sum(extant); + int nP = sum(state); + int nA = nExt - nP; + std::vector focP, focA; + + double tnextevent = tlastevent; + for(auto j = 0; j < extant.size(); j++){ + if(extant[j] == 1){ + if(state[j] == 1){ + focP.push_back(j); + }else{ + focA.push_back(j); + } + if(end[j] < tnextevent){ + tnextevent = end[j]; + } + } + } + // rate totals across extant species + double gamma_tot = gamma * (nExt - nP); + double mu_tot = mu * nP; + // maximum rates based on the number of extant species + double mu_max = mu * nExt; + double gamma_max = gamma * nExt; + double tot_max = gamma_max + mu_max; + // relative rates based on the ratio between the actual rates and the maximum rates + double mu_rel = mu_tot / tot_max; + double gamma_rel = gamma_tot / tot_max; + + // create a vector with the probabilities of each event, equal to their total rate + NumericVector prob = NumericVector::create(1 - (gamma_rel + mu_rel), gamma_rel, mu_rel); + + if(tot_max <= 0){ + // if the total rate is <= 0 no event will be possible so kill the simulation + Rcout << "tot rate error" << std::endl; + return -1; + } + + while(tstep < tlastevent){ + wt = Rcpp::rexp(1, tot_max)[0]; + tstep += wt; + + if(tstep < tnextevent){ + // sample an event + event = Rcpp::sample(3, 1, false, prob)[0] - 1; + + // colonisation + if(event == 1){ + int foc = Rcpp::sample(nA, 1, false)[0] - 1; + focP.push_back(focA[foc]); + std::vector::iterator nth = focA.begin() + foc; + focA.erase(nth); + nP++; + nA--; + mu_tot = mu * nP; + gamma_tot = gamma * nA; + mu_rel = mu_tot / tot_max; + gamma_rel = gamma_tot / tot_max; + prob[0] = 1 - (gamma_rel + mu_rel); + prob[1] = gamma_rel; + prob[2] = mu_rel; + } + // local extinction + if(event == 2){ + int foc = Rcpp::sample(nP, 1, false)[0] - 1; + focA.push_back(focP[foc]); + std::vector::iterator nth = focP.begin() + foc; + focP.erase(nth); + nP--; + nA++; + mu_tot = mu * nP; + gamma_tot = gamma * nA; + mu_rel = mu_tot / tot_max; + gamma_rel = gamma_tot / tot_max; + prob[0] = 1 - (gamma_rel + mu_rel); + prob[1] = gamma_rel; + prob[2] = mu_rel; + } + // if it's time for the next event, update the states, presences/absences, and focal species + }else if (tnextevent != tlastevent){ + // find which species are speciating (might me more than one so a while loop is needed) + std::vector::iterator it = end.begin(); + while ((it = std::find_if(it, end.end(), [&tnextevent](double x){return x == tnextevent; })) != end.end()){ + int foc = std::distance(end.begin(), it); + // set the species to extinct + extant[foc] = 0; + std::vector::iterator iter1 = std::find(focA.begin(), focA.end(), foc); + std::vector::iterator iter2 = std::find(focP.begin(), focP.end(), foc); + // if absent, change state to absent as well + if (iter1 != focA.end()){ // == if iter1 != focA.end() this means that it is absent + state[foc] = 0; + focA.erase(iter1); + }else{ + state[foc] = 1; + focP.erase(iter2); + } + // find if the species has any daughters + if(std::find(parent.begin(), parent.end(), daugther[foc]) != parent.end()){ + std::vector B; + int da = daugther[foc]; // name of the ancestral species + // we're loopin through the parents of the daughters to see if any has the ancestral species as its parent + std::vector::iterator pa = parent.begin(); + while ((pa = std::find_if(pa, parent.end(), [&da](int x){return x == da; })) != parent.end()){ + int dau = std::distance(parent.begin(), pa); + extant[dau] = 1; + B.push_back(dau); + pa++; + } + // set the states for the daugther lineages, which depend on the state of the parent (either 1 or 0 if in the comm or both 0 if p is absent) + if(state[foc] == 1){ + IntegerVector A = {0,1}; + IntegerVector sts = Rcpp::sample(A, 2, false); + + int z = 0; + for(std::vector::const_iterator k = B.begin(); k != B.end(); ++k) { + if(sts[z] == 1){ + focP.push_back(*k); + }else{ + focA.push_back(*k); + } + z++; + } + // if the parent is absent, both daughters will be as well + }else{ + for(std::vector::const_iterator k = B.begin(); k != B.end(); ++k) { + focA.push_back(*k); + } + } + } + it++; + } + // update the counters + nExt = sum(extant); + nP = focP.size(); + nA = focA.size(); + mu_tot = mu * nP; + gamma_tot = gamma * nA; + + mu_max = mu * nExt; + gamma_max = gamma * nExt; + tot_max = gamma_max + mu_max; + + mu_rel = mu_tot / tot_max; + gamma_rel = gamma_tot / tot_max; + prob = {1 - (gamma_rel + mu_rel), gamma_rel, mu_rel}; + // change the tstep to the time of speciation + tstep = tnextevent; + // determine when the next event is going to happen + tnextevent = tlastevent; + for(int j = 0; j < extant.size(); j++){ + if(extant[j] == 1){ + if(end[j] < tnextevent){ + tnextevent = end[j]; + } + } + } + } + } + for(std::vector::const_iterator l = focP.begin(); l != focP.end(); ++l) { + state[*l] = 1; + } + return state; +} + diff --git a/src/DAMOCLES_sim_fast.o b/src/DAMOCLES_sim_fast.o new file mode 100644 index 0000000000000000000000000000000000000000..1b25318b1c9c7ba9570407a887bbcfff4162a2d5 GIT binary patch literal 703976 zcmeFa3v^x8nI^c8j)bmkgP&l7UvdPojMGI@&Xnx}2ALbm5SW4j5|i+dg)FcuU^|vb zpq(@(H#4}J^aLfTf=W`&l|?F7B)vK{q!!YIZab~46?awEBrY-~I3Z^gk9D6BzvCf6e$ywc@{a z{Ndll_&a=_Tqgea%A_iY0`1ABUJ*tE&?(gmG?t8emZ~s8|K+nDL_I~c*`V?Wozg17!_Uv8x|J~gW>>21g(DT3+`!3$z zp+B{FE^<|K*}#NeGvtH+ue#^+9end0AftfK|3_N-|IpsPz5Nk`$~@%`@4JYz4t)hM=0O#*|F``-z&cV zo@?)!3+$uQ<@lDcMBCf5_r86s5pQqb*DSrh@t^GPQ!kX!FR{G?d+&c>PyaxFyuHi& zEwxU#W^VnLWzQb+;!K;_$upm$v>>o%VO>f2gm$ zo?W{Ru)%nHpZI%g6j!Xa@ICiqdw&P`d&D-Ki0|H>2m7eU@%Fy>3tRuvuh{m!)zm8X 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z8DCphy%7cp^&~LzkN;hN&DYEHHrwuDHVCMflDxdwUi%0eKjf>`bU|%DVEAGhyX2Og z$Z*Tok5UdkT!K!E-v(soyWFv)|_TC~71LHahFqQRe|V6RWQrp<=b2<|VrF$r#kjRy%L`VfSTI zd@cX|u*vKO;5}b|LEXaLmgKO?){na{Km9p)n^dazp>hsnpVHMgM%j(tHm)8UGZ7NtZkQ`SjPjFZ0b$GnDL_-Q8Y){7oXF z4>Pf-#3!4E2Po6s)eax;LD26gl_HT7Dc}pc7}latOW6*}FndL-Po*WS>6TqSm4nVF zP~_UsNv_~xwwSNxo08y9VB_xN)$dc{k8)l{3t|y}ZW9rUabHo{gN-U4P~z^q=$s`Re};RVwnKZBNg%7Y>EwbF1c>wc0IMG8#fm5 z+!IZ}0{{BdZc~j$A{t@>E{bfk$ja5%Y1YGr_+31#R*2FzonTx7!~&iU*aNrUXp87D zJp09?BENOqr&d2mJIDn z6!z=_qt&82%b)J|B1Ey92pxgVmnK)-lASGI7vRh7m*OkD8s8R5 zc}9xob&Kh+ZY!S4{TdqfVO4x>hwg0OzR%_JJsd|5D3C^W5RLo=jQ%wm{{t}3O6mXr From da2631e558f50af9d746b4458e70cb61c00b697d Mon Sep 17 00:00:00 2001 From: bouwerutger Date: Fri, 29 Aug 2025 13:35:53 +0100 Subject: [PATCH 2/5] added an R function wrapper DAMOCLES_sim_fast for the Rcpp function DAMOCLES_sim_fast --- R/DAMOCLES_sim_fast.R | 78 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 78 insertions(+) create mode 100644 R/DAMOCLES_sim_fast.R diff --git a/R/DAMOCLES_sim_fast.R b/R/DAMOCLES_sim_fast.R new file mode 100644 index 0000000..39b068b --- /dev/null +++ b/R/DAMOCLES_sim_fast.R @@ -0,0 +1,78 @@ +#' Simulating DAMOCLES +#' +#' Simulates DAMOCLES +#' +#' +#' @param phy phylogeny in phylo format +#' @param gamma_0 initial per lineage rate of immigration (gamma) +#' @param mu per lineage rate of local extinction +#' @param root.state geographic state of ancestor i.e. present (1) or absent(0) +#' @param keepExtinct whether to retain data for extinct lineages +#' @param stateOnly whether to return only the presence or absence states of the extant species +#' @return Either a table containing the following +#' columns: The first two columns contain the edge list of the phylogenetic tree, and the following two +#' contain when each edge starts and ends, and the fifth column if lineage is extant. +#' The sixth column contains the presence (1) or absence (0) of the species, which is identical +#' to the output if stateOnly == TRUE, when keepExtinct == FALSE and stateOnly == FALSE. Column +#' seven and eight contain information on respectively whetever the edge is a tip and its tip number. +#' @author Bouwe R. Reijenga +#' @seealso \code{\link{DAMOCLES_sim}} +#' @references Pigot, A.L. & R.S. Etienne (2015). A new dynamic null model for +#' phylogenetic community structure. Ecology Letters 18: 153-163. +#' @keywords models +#' @examples +#' +#' #create random phylogeny +#' library(ape) +#' phy = ape::rcoal(10) +#' +#' #run DAMOCLES +#' patable = DAMOCLES_sim_fast( +#' phy, +#' gamma_0 = 1.5, +#' mu = 0, +#' root.state = 1, +#' keepExtinct = FALSE, +#' stateOnly = FALSE +#' ) +#' +#' #show presence/absence on the tree +#' patable$col = rep("black",dim(patable)[1]) +#' patable$col[which(patable$state == 1)] = "red" +#' plot(phy,tip.col = patable$col) +#' +#' @export DAMOCLES_sim_fast +DAMOCLES_sim_fast = function(phy, gamma_0, mu, root.state, keepExtinct = FALSE, stateOnly = FALSE){ + # first construct the presence absence table from the phylogeny + dn = ape::dist.nodes(phy) + ntips = length(phy$tip.label) + nbranch = 2 * ntips - 2 + patable = data.frame(p = phy$edge[, 1], d = phy$edge[, 2], + age.start = rep(NA, nbranch), age.end = rep(NA, nbranch), + extant = rep(0, nbranch), state = rep(NA, nbranch)) + patable$age.start = dn[patable$p, ntips + 1] + patable$age.end = dn[patable$d, ntips + 1] + patable$age.end[which(patable$d < length(phy$tip.label) + + 1)] = max(patable$age.end) + ce = which(patable$p == min(patable$p)) + patable$extant[ce] = 1 + patable$state = rep(0, dim(patable)[1]) + patable$tips[which(patable$d <= ntips)] = 1 + patable$y[which(patable$tips == 1)] = patable$d[which(patable$tips == 1)] + # sample which species has which root.state + patable$state[ce] = sample(c(0, root.state)) + # simulte + patable$state <- DAMOCLES_sim_cpp(pa = patable, gamma = gamma_0, mu = mu) + # return the full table or only the extant states + if(stateOnly == TRUE){ + patable <- patable$state[which(patable$tips == 1)] + }else{ + if(keepExtinct == TRUE){ + patable$extant[which(patable$tips == 1)] + }else{ + patable <- patable[which(patable$tips == 1),] + patable$extant <- 1 + } + } + return(patable) +} \ No newline at end of file From 1b719ad0691a3c3bb302bffdc3aa4c1163a01099 Mon Sep 17 00:00:00 2001 From: bouwerutger Date: Fri, 29 Aug 2025 13:36:22 +0100 Subject: [PATCH 3/5] added documentation for the function: DAMOCLES_sim_fast --- NAMESPACE | 1 + man/DAMOCLES_ML.Rd | 2 +- man/DAMOCLES_sim_fast.Rd | 72 ++++++++++++++++++++++++++++++++++++++++ 3 files changed, 74 insertions(+), 1 deletion(-) create mode 100644 man/DAMOCLES_sim_fast.Rd diff --git a/NAMESPACE b/NAMESPACE index 32a74a6..79195ef 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -4,5 +4,6 @@ export(DAMOCLES_ML) export(DAMOCLES_bootstrap) export(DAMOCLES_loglik) export(DAMOCLES_sim) +export(DAMOCLES_sim_fast) export(HERACLES_ImportanceSampling) useDynLib(DAMOCLES) diff --git a/man/DAMOCLES_ML.Rd b/man/DAMOCLES_ML.Rd index d4136f7..72f702d 100644 --- a/man/DAMOCLES_ML.Rd +++ b/man/DAMOCLES_ML.Rd @@ -13,7 +13,7 @@ DAMOCLES_ML( idparsfix = NULL, idparsequal = NULL, pars2 = c(0.001, 1e-04, 1e-05, 1000), - optimmethod = "subplex", + optimmethod = "simplex", pchoice = 0, edgeTList = NULL, methode = "analytical", diff --git a/man/DAMOCLES_sim_fast.Rd b/man/DAMOCLES_sim_fast.Rd new file mode 100644 index 0000000..fc513c4 --- /dev/null +++ b/man/DAMOCLES_sim_fast.Rd @@ -0,0 +1,72 @@ +% Generated by roxygen2: do not edit by hand +% Please edit documentation in R/DAMOCLES_sim_fast.R +\name{DAMOCLES_sim_fast} +\alias{DAMOCLES_sim_fast} +\title{Simulating DAMOCLES} +\usage{ +DAMOCLES_sim_fast( + phy, + gamma_0, + mu, + root.state, + keepExtinct = FALSE, + stateOnly = FALSE +) +} +\arguments{ +\item{phy}{phylogeny in phylo format} + +\item{gamma_0}{initial per lineage rate of immigration (gamma)} + +\item{mu}{per lineage rate of local extinction} + +\item{root.state}{geographic state of ancestor i.e. present (1) or absent(0)} + +\item{keepExtinct}{whether to retain data for extinct lineages} + +\item{stateOnly}{whether to return only the presence or absence states of the extant species} +} +\value{ +Either a table containing the following +columns: The first two columns contain the edge list of the phylogenetic tree, and the following two +contain when each edge starts and ends, and the fifth column if lineage is extant. +The sixth column contains the presence (1) or absence (0) of the species, which is identical +to the output if stateOnly == TRUE, when keepExtinct == FALSE and stateOnly == FALSE. Column +seven and eight contain information on respectively whetever the edge is a tip and its tip number. +} +\description{ +Simulates DAMOCLES +} +\examples{ + +#create random phylogeny +library(ape) +phy = ape::rcoal(10) + +#run DAMOCLES +patable = DAMOCLES_sim_fast( + phy, + gamma_0 = 1.5, + mu = 0, + root.state = 1, + keepExtinct = FALSE, + stateOnly = FALSE + ) + +#show presence/absence on the tree +patable$col = rep("black",dim(patable)[1]) +patable$col[which(patable$state == 1)] = "red" +plot(phy,tip.col = patable$col) + +} +\references{ +Pigot, A.L. & R.S. Etienne (2015). A new dynamic null model for +phylogenetic community structure. Ecology Letters 18: 153-163. +} +\seealso{ +\code{\link{DAMOCLES_sim}} +} +\author{ +Bouwe R. Reijenga +} +\keyword{models} From 39d2bfd10da217891fea3f1663c8abbe29dca123 Mon Sep 17 00:00:00 2001 From: bouwerutger Date: Fri, 29 Aug 2025 13:42:59 +0100 Subject: [PATCH 4/5] Slightly reworded the documentation. Will further improve this later --- R/DAMOCLES_sim_fast.R | 4 ++-- man/DAMOCLES_sim_fast.Rd | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/R/DAMOCLES_sim_fast.R b/R/DAMOCLES_sim_fast.R index 39b068b..ad687ad 100644 --- a/R/DAMOCLES_sim_fast.R +++ b/R/DAMOCLES_sim_fast.R @@ -9,8 +9,8 @@ #' @param root.state geographic state of ancestor i.e. present (1) or absent(0) #' @param keepExtinct whether to retain data for extinct lineages #' @param stateOnly whether to return only the presence or absence states of the extant species -#' @return Either a table containing the following -#' columns: The first two columns contain the edge list of the phylogenetic tree, and the following two +#' @return Either a vector with presence absence states or a table containing the following +#' columns is realised: The first two columns contain the edge list of the phylogenetic tree, and the following two #' contain when each edge starts and ends, and the fifth column if lineage is extant. #' The sixth column contains the presence (1) or absence (0) of the species, which is identical #' to the output if stateOnly == TRUE, when keepExtinct == FALSE and stateOnly == FALSE. Column diff --git a/man/DAMOCLES_sim_fast.Rd b/man/DAMOCLES_sim_fast.Rd index fc513c4..b26ee64 100644 --- a/man/DAMOCLES_sim_fast.Rd +++ b/man/DAMOCLES_sim_fast.Rd @@ -27,8 +27,8 @@ DAMOCLES_sim_fast( \item{stateOnly}{whether to return only the presence or absence states of the extant species} } \value{ -Either a table containing the following -columns: The first two columns contain the edge list of the phylogenetic tree, and the following two +Either a vector with presence absence states or a table containing the following +columns is realised: The first two columns contain the edge list of the phylogenetic tree, and the following two contain when each edge starts and ends, and the fifth column if lineage is extant. The sixth column contains the presence (1) or absence (0) of the species, which is identical to the output if stateOnly == TRUE, when keepExtinct == FALSE and stateOnly == FALSE. Column From 8e1f60901aaf035e23b9d183d09568235c2c2c0a Mon Sep 17 00:00:00 2001 From: bouwerutger Date: Fri, 29 Aug 2025 14:23:20 +0100 Subject: [PATCH 5/5] .DS_Store added to .gitignore --- .gitignore | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/.gitignore b/.gitignore index 179cdca..285cdf0 100644 --- a/.gitignore +++ b/.gitignore @@ -2,4 +2,5 @@ .Rhistory .RData .Ruserdata -dimmod.mod \ No newline at end of file +dimmod.mod +.DS_Store

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+ return rcpp_result_gen; +END_RCPP +} static const R_CallMethodDef CallEntries[] = { {"_DAMOCLES_DAMOCLES_integrate_odeint", (DL_FUNC) &_DAMOCLES_DAMOCLES_integrate_odeint, 6}, + {"_DAMOCLES_DAMOCLES_sim_cpp", (DL_FUNC) &_DAMOCLES_DAMOCLES_sim_cpp, 3}, {NULL, NULL, 0} }; diff --git a/src/RcppExports.o b/src/RcppExports.o index 8215526a83c0f098dd7cc80ea03763ea9d7d14f1..4a80c172a6bfe68f65f1dc4c4949a77798e51744 100644 GIT binary patch literal 674480 zcmeEv3wT{smH$5X<|ZdeOK#fI256gG!4goW1wjd+qh!YwvT;H-G&fza3{xVDOLsmEo_i9RD@o5C4wBUlZ>O{OfyP zC^av-Hru-GeFaMSH_^ehx36D*>w0&CpZ504&%5gK_+GDGoFS+f_Qx*o{nOA)VwYv+ zPHn^A_V&xxcdTF8dBN(H(rdCm?dMk8oq4=5Fe$(_el0X7u!CX!-PqaLzWmnC>~G0T+tFS-J=1uc?XTzA&{VR&#J~3T>({OG%G%q{J^S*rokAkz{-yN- zzYguFq`kd!-TJjFSKsJLlK3rLU?F}%2IAkiQ*wLohLL*ow`TRam?6pjW}jr?_e*PI z4xX0VpDT`jhWD2{--eSde1pSpe^X#M-yzWNrl^_kIC*&u$zsFsFSqFBn>#ym#P~;}bW8k;^`VBX>cU*t{ z+U4(}Jf3^y*_SSg2Ho!ZTU=v{9zuVKe>p7C{#LHOVGY|Q`y02&!jIcwfA=mfuD`Xb 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