From 5504a757ecc08d231785a9718e936effe104f9ca Mon Sep 17 00:00:00 2001 From: Ignazio Giuntoli Date: Sun, 10 May 2020 11:04:53 +0200 Subject: [PATCH 1/7] Upload of the ENSclustering vignette --- vignettes/ENSclustering_vignette.Rmd | 226 +++++++++++++++++++++++++++ 1 file changed, 226 insertions(+) create mode 100644 vignettes/ENSclustering_vignette.Rmd diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd new file mode 100644 index 00000000..708571c6 --- /dev/null +++ b/vignettes/ENSclustering_vignette.Rmd @@ -0,0 +1,226 @@ +--- +author: "Ignazio Giuntoli and Federico Fabiano - CNR-ISAC" +date: "`r Sys.Date()`" +output: rmarkdown::html_vignette +vignette: > + %\VignetteEngine{knitr::knitr} + %\VignetteIndexEntry{Ensemble Clustering} + %\usepackage[utf8]{inputenc} +--- + +Ensemble clustering +----------------------------------------- + +### Introduction +Ensemble forecasts provide insight on average weather conditions from sub-seasonal to seasonal timescales. With large ensembles, it is useful to group members according to similar characteristics and to select the most representative member of each cluster. This allows to characterize forecast scenarios in a multi-model (or single model) ensemble prediction. In particular, at the regional level, this function can be used to identify the subset of ensemble members that best represent the full range of possible outcomes that may be fed in turn to downscaling applications. The choice of the ensemble members can be done by selecting different options within the function in order to meet the requirements of specific climate information products that can be tailored to different regions and user needs. + +For a detailed description of the tool please refer to the CSTools guide : + +### Steps of the vignette + +This vignette consists of three main steps: 1. Preliminary setup, 2. Loading the data, 3. Launching Ensemble clustering, 4. Results retrieval, 5. Results mapping, 6. Final notes. + +### 1. Preliminary setup + +To run this vignette, install and load Library *CSTools* + +```r +install.packages("CSTools") +library(CSTools) +``` + +and the following packages: + +```r +install.packages("s2dverification") +install.packages("stringr") +library(s2dverification) +library(stringr) +``` + +### 2. Loading the data + +For our example we will use the sample seasonal temperature data provided within the CSTools package. +Data can be loaded as follows: + +```r +datalist <- CSTools::lonlat_data$exp +``` + +The data will has the following dimension: + +```r +dim(datalist$data) +dataset member sdate ftime lat lon + 1 15 6 3 22 53 +``` + +Therefore the number of members is 15, the number of start dates is 6, while the forecast time steps are 3. The lat and lon dimensions refer to a 22x53 grid. + +### 3. Launching Ensemble clustering + +Prior to launching EnsClustering let's define the number of clusters, e.g., 4 + +```r +numcl = 4 +``` + +Let's launch the clustering using 4 clusters (numclus), 4 EOFs (numpcs), 'mean' as moment to apply to the time dimension (time_moment), and both members and starting dates, i.e. 'c("member","sdate")', as dimension over which the clustering is performed (cluster_dim). + +```r +results <- CST_EnsClustering(datalist, numclus = numcl, numpcs = 4, + time_moment = 'mean', cluster_dim = c('member', 'sdate')) +``` + +The EnsClustering produces the following results: + +```r +cluster - containing 'member' and 'sdate' +freq - containing 'cluster' +closest_member - containing 'cluster' +repr_field - containing 'cluster', 'lat' and 'lon' +composites - containing 'cluster', 'lat' and 'lon' +lat - containing the 22 grid point latitudes +lon - containing the 53 grid point longitudes +``` + +So, for instance, the overall frequency per cluster can be displayed by querying the '$freq' in 'results' obtaining: + +```r +results$freq + + [,1] +[1,] 35.55556 +[2,] 27.77778 +[3,] 21.11111 +[4,] 15.55556 +``` + +Further, the cluster number to which each 'member - start-date' pair is assigned can be displayed by quering '$cluster' in 'results' as shown below (members (15) are in row and the start-dates (6) are in column (i.e. 15*6 pairs). + +```r +results$cluster + + [,1] [,2] [,3] [,4] [,5] [,6] + [1,] 3 2 1 1 4 2 + [2,] 2 4 4 2 3 1 + [3,] 3 3 1 3 4 2 + [4,] 2 1 1 2 1 1 + [5,] 4 4 1 3 3 1 + [6,] 4 1 1 2 4 1 + [7,] 1 2 1 2 2 1 + [8,] 4 2 1 2 4 1 + [9,] 3 3 1 1 4 3 +[10,] 1 2 1 2 4 1 +[11,] 3 3 2 3 3 1 +[12,] 3 1 2 1 2 2 +[13,] 2 1 1 3 3 1 +[14,] 2 2 4 1 1 2 +[15,] 3 4 1 2 3 2 +``` + +### 4. Results retrieval + +Let's keep in mind that the aim is that of identifying 'members - start-date' pairs to be retained in order to reduce the ensemble while keeping a good representativeness. +To achieve this we can get an idea of how the clustering has performed by looking at the average cluster spatial patterns, which are found in the 'composites' argument of 'results' and have the following dimensions (we will map them at point 5): + +```r +dim(results$composites) +cluster lat lon dataset + 4 22 53 1 +``` + +while the 'repr_field' argument of 'results' provides the spatial pattern of the member lying closes to the centroid (has the same dimensions as those of 'composites'): + +```r +dim(results$repr_field) +cluster lat lon dataset + 4 22 53 1 +``` + +Finally, the pairs 'member - start-dates' to be picked as representative for each cluster are found in the 'closest_member' argument. + +```r +results$closest_member + +$member + [,1] +[1,] 6 +[2,] 1 +[3,] 11 +[4,] 6 + +$sdate + [,1] +[1,] 6 +[2,] 6 +[3,] 1 +[4,] 5 +``` + +### 5. Results mapping + +The following lines produce a multiplot of the representative temperature anomalies spatial pattern per cluster (Figure 1). +These are actually the closest realizations (member - start-date pair) to the cluster centroids noted as 'repr_field' above. + +```r +lims_pres = array(c(-2,-1.5,-1,-0.5,0,0.5,1,1.5,2)) +cols_pres = c("#084594","#2171B5","#6BAED6","#9ECAE1","white","white","#FC9272","#FB6A4A","#CB181D","#99000D") +alldata = datalist$data +ens_mean = apply(alldata, c(1, 5, 6), mean) +XXX DO we need this ? XXX ens_mean_member = apply(alldata, c(1, 2, 5, 6), mean) +postscript('Fig1_EnsClus.eps') #dev.copy(png,'Fig1_EnsClus.png') +z=rbind(c(1,1,2,2), c(1,1,2,2), c(3,3,4,4),c(3,3,4,4), c(5,5,5,5)) +layout(z) +lon = datalist$lon +lat = datalist$lat +for (k in seq(1, numclu)) { + PlotEquiMap(results$repr_field[k,,,1]-ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10], toptitle = toString(k), filled.continents = FALSE) +} +ColorBar(lims_pres, cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10],bar_limits=c(-2,2),var_lims=c(-2.5,2.5),title='Temperature anomaly (K)',vert = FALSE ) +dev.off() +``` + +![Figure 1 - Representative temperature anomalies of each cluster.](./Figures/EnsClus_4clus_both_mem_std_Fig1.png){width=100%} + + + +The lines below produce a multiplot of the temperature anomaly patterns for each 'member - start-date' pair and the respective cluster to which they are assigned (Figure 2). We limit the multiplot to the first 24 out of 90 combinations (i.e. 15 members*6 start_dates = 90) for figure clarity. + +```r +postscript('Fig2_EnsClus.eps') +z=rbind(c(1,2,3,4,5,6), c(7,8,9,10,11,12), c(13,14,15,16,17,18), c(19,20,21,22,23,24), c(25,25,25,25, 25, 25)) +layout(z) +exp = apply(alldata, c(1, 2, 3, 5, 6), mean) +for (k in seq(1, 4)) { + for (j in seq(1, 6)) { + #dev.new() + PlotEquiMap(exp[1,k,j,,]-ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10], toptitle = toString(results$cluster[k,j,1]), filled.continents = FALSE) +} +} +ColorBar(lims_pres, cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10],bar_limits=c(-2,2),var_lims=c(-2.5,2.5),title='Temperature anomaly (K)',vert = FALSE) +XXX trash XXX #PlotEquiMap(0.0*ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10]) +dev.off() +``` + +![Figure 2 - Temperature anomalies pattern per 'member - start_date' pair with cluster to which it is assigned displayed as map title.](./Figures/EnsClus_4clus_both_mem_std_Fig2.png){width=100%} + +### Final notes + +It should be noted that the clustering can be carried out with respect to 'members' or 'start-dates' alone. In which case the selection is no longer done over all 'member - start-dates' pairs (90) but along the 15 members (with all start-dates) or along the 6 start-dates (with all members). +The clustering command with respect to 'members' is listed below: + +```r +print('clustering over members') +results_memb <- CST_EnsClustering(datalist, numclus = numclu, numpcs = 4, time_moment = 'mean', cluster_dim = 'member') +``` + +Also, in addition to 'mean', the 'time_moment' can be set to 'sd', i.e. standard deviation along time, or 'perc', i.e. a percentile along time (in which case the 'time_percentile' argument is also needed). The latter option 'perc' may be useful when considering extremes, so for instance while analysing extreme temperatures with a high percentile (e.g. 90). +The clustering command with respect to 'member - start-dates' pairs over the 90th percentile of temperature (i.e. high temperatures) is listed below: + +```r +print('clustering using time_percentile') +results_perc <- CST_EnsClustering(datalist, numclus = numclu, numpcs = 4, time_moment = 'perc', time_percentile = 90, cluster_dim = c('member', 'sdate')) +``` + +Finally, the parameter 'time_dim' lets the user specify the dimension(s) over which the 'time_moment' is applied (i.e. mean, sd, perc). If 'time_dim' is not specified, the dimension is sought automatically picking the first between 'ftime', 'sdate', and 'time'. \ No newline at end of file -- GitLab From 47afb308f3534fb37c3c88933e4f3e0cafe119fa Mon Sep 17 00:00:00 2001 From: Ignazio Giuntoli Date: Mon, 11 May 2020 12:16:10 +0200 Subject: [PATCH 2/7] Update ENSclustering_vignette.Rmd --- vignettes/ENSclustering_vignette.Rmd | 20 ++++++++++++-------- 1 file changed, 12 insertions(+), 8 deletions(-) diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd index 708571c6..d2dfda05 100644 --- a/vignettes/ENSclustering_vignette.Rmd +++ b/vignettes/ENSclustering_vignette.Rmd @@ -72,18 +72,22 @@ results <- CST_EnsClustering(datalist, numclus = numcl, numpcs = 4, time_moment = 'mean', cluster_dim = c('member', 'sdate')) ``` -The EnsClustering produces the following results: +The EnsClustering produces the following outputs saved in object results: ```r -cluster - containing 'member' and 'sdate' -freq - containing 'cluster' -closest_member - containing 'cluster' -repr_field - containing 'cluster', 'lat' and 'lon' -composites - containing 'cluster', 'lat' and 'lon' -lat - containing the 22 grid point latitudes -lon - containing the 53 grid point longitudes +#[1] "cluster" "freq" "closest_member" "repr_field" +#[5] "composites" "lat" "on" + ``` +where: cluster contains 'member' and 'sdate' +freq contains 'cluster' +closest_member contains 'cluster' +repr_field contains 'cluster', 'lat' and 'lon' +composites contains 'cluster', 'lat' and 'lon' +lat contains the 22 grid point latitudes +lon containing the 53 grid point longitudes + So, for instance, the overall frequency per cluster can be displayed by querying the '$freq' in 'results' obtaining: ```r -- GitLab From b0955d1bc2e491a37a52efde1843f4e8b3e389d5 Mon Sep 17 00:00:00 2001 From: Ignazio Giuntoli Date: Mon, 11 May 2020 12:17:31 +0200 Subject: [PATCH 3/7] Update ENSclustering_vignette.Rmd --- vignettes/ENSclustering_vignette.Rmd | 2 -- 1 file changed, 2 deletions(-) diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd index d2dfda05..247edd40 100644 --- a/vignettes/ENSclustering_vignette.Rmd +++ b/vignettes/ENSclustering_vignette.Rmd @@ -33,9 +33,7 @@ and the following packages: ```r install.packages("s2dverification") -install.packages("stringr") library(s2dverification) -library(stringr) ``` ### 2. Loading the data -- GitLab From 465b7e42750c547d4aed99965dc0eb4fb5fb61ad Mon Sep 17 00:00:00 2001 From: Ignazio Giuntoli Date: Mon, 11 May 2020 12:19:14 +0200 Subject: [PATCH 4/7] Update ENSclustering_vignette.Rmd --- vignettes/ENSclustering_vignette.Rmd | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd index 247edd40..8b185945 100644 --- a/vignettes/ENSclustering_vignette.Rmd +++ b/vignettes/ENSclustering_vignette.Rmd @@ -32,8 +32,8 @@ library(CSTools) and the following packages: ```r -install.packages("s2dverification") -library(s2dverification) +install.packages("s2dv") +library(s2dv) ``` ### 2. Loading the data -- GitLab From 395d8774c21a8e8c8606167a6e1a5864ebabfd87 Mon Sep 17 00:00:00 2001 From: Ignazio Giuntoli Date: Mon, 11 May 2020 12:25:49 +0200 Subject: [PATCH 5/7] Update ENSclustering_vignette.Rmd --- vignettes/ENSclustering_vignette.Rmd | 50 ++++++++++++---------------- 1 file changed, 22 insertions(+), 28 deletions(-) diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd index 8b185945..8310eb98 100644 --- a/vignettes/ENSclustering_vignette.Rmd +++ b/vignettes/ENSclustering_vignette.Rmd @@ -166,21 +166,15 @@ The following lines produce a multiplot of the representative temperature anomal These are actually the closest realizations (member - start-date pair) to the cluster centroids noted as 'repr_field' above. ```r -lims_pres = array(c(-2,-1.5,-1,-0.5,0,0.5,1,1.5,2)) -cols_pres = c("#084594","#2171B5","#6BAED6","#9ECAE1","white","white","#FC9272","#FB6A4A","#CB181D","#99000D") -alldata = datalist$data -ens_mean = apply(alldata, c(1, 5, 6), mean) -XXX DO we need this ? XXX ens_mean_member = apply(alldata, c(1, 2, 5, 6), mean) -postscript('Fig1_EnsClus.eps') #dev.copy(png,'Fig1_EnsClus.png') -z=rbind(c(1,1,2,2), c(1,1,2,2), c(3,3,4,4),c(3,3,4,4), c(5,5,5,5)) -layout(z) -lon = datalist$lon -lat = datalist$lat -for (k in seq(1, numclu)) { - PlotEquiMap(results$repr_field[k,,,1]-ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10], toptitle = toString(k), filled.continents = FALSE) -} -ColorBar(lims_pres, cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10],bar_limits=c(-2,2),var_lims=c(-2.5,2.5),title='Temperature anomaly (K)',vert = FALSE ) -dev.off() +EnsMean <- MeanDims(datalist $data, c('member', 'sdate', 'ftime')) +EnsMean <- InsertDim(Reorder(EnsMean, c("lat", "lon", "dataset")), + posdim = 1, lendim = 4, name = 'cluster') + +PlotLayout(PlotEquiMap, plot_dims = c("lat", "lon"), + var = results$repr_field[,,,1] - EnsMean[,,,1], + lon = results$lon, lat = results$lat, filled.continents = FALSE, + titles = c("1","2","3","4"), brks = seq(-2, 2, 0.5), + fileout = "EnsClus_4clus_both_mem_std_Fig1.png") ``` ![Figure 1 - Representative temperature anomalies of each cluster.](./Figures/EnsClus_4clus_both_mem_std_Fig1.png){width=100%} @@ -190,19 +184,19 @@ dev.off() The lines below produce a multiplot of the temperature anomaly patterns for each 'member - start-date' pair and the respective cluster to which they are assigned (Figure 2). We limit the multiplot to the first 24 out of 90 combinations (i.e. 15 members*6 start_dates = 90) for figure clarity. ```r -postscript('Fig2_EnsClus.eps') -z=rbind(c(1,2,3,4,5,6), c(7,8,9,10,11,12), c(13,14,15,16,17,18), c(19,20,21,22,23,24), c(25,25,25,25, 25, 25)) -layout(z) -exp = apply(alldata, c(1, 2, 3, 5, 6), mean) -for (k in seq(1, 4)) { - for (j in seq(1, 6)) { - #dev.new() - PlotEquiMap(exp[1,k,j,,]-ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10], toptitle = toString(results$cluster[k,j,1]), filled.continents = FALSE) -} -} -ColorBar(lims_pres, cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10],bar_limits=c(-2,2),var_lims=c(-2.5,2.5),title='Temperature anomaly (K)',vert = FALSE) -XXX trash XXX #PlotEquiMap(0.0*ens_mean[1,,], datalist$lon, datalist$lat, drawleg = FALSE, brks=lims_pres,cols=cols_pres[2:9],col_inf=cols_pres[1], col_sup=cols_pres[10]) -dev.off() +ExpMean <- MeanDims(datalist$data, 'ftime') +EnsMean <- InsertDim(InsertDim(InsertDim(EnsMean[1,,,], + posdim = 1, lendim = 6, name = 'sdate'), + posdim = 1, lendim = 15, name = 'member'), + posdim = 1, lendim = 1, name = 'dataset') +ExpMeanSd <- Reorder(ExpMean - EnsMean, c('dataset', 'sdate', 'member' , 'lat', 'lon')) +PlotLayout(PlotEquiMap, plot_dims = c("lat", "lon"), + var = ExpMeanSd[,1:6, 1:4, , ], + ncol = 6, row = 4, + lon = results$lon, lat = results$lat, filled.continents = FALSE, + titles = as.character(t(results$cluster[1:4, 1:6,])), brks = seq(-2, 2, 0.5), + width = 24, height = 20, size_units = 'cm', + fileout = "EnsClus_4clus_both_mem_std_Fig2.png") ``` ![Figure 2 - Temperature anomalies pattern per 'member - start_date' pair with cluster to which it is assigned displayed as map title.](./Figures/EnsClus_4clus_both_mem_std_Fig2.png){width=100%} -- GitLab From 8341f1c079f85a62f666ab27f0110f703fecf797 Mon Sep 17 00:00:00 2001 From: nperez Date: Tue, 12 May 2020 18:30:40 +0200 Subject: [PATCH 6/7] vignette fixed and plots in Figures folder --- vignettes/ENSclustering_vignette.Rmd | 27 ++++++++++-------- .../EnsClus_4clus_both_mem_std_Fig1.png | Bin 0 -> 159791 bytes .../EnsClus_4clus_both_mem_std_Fig2.png | Bin 0 -> 226954 bytes 3 files changed, 15 insertions(+), 12 deletions(-) create mode 100644 vignettes/Figures/EnsClus_4clus_both_mem_std_Fig1.png create mode 100644 vignettes/Figures/EnsClus_4clus_both_mem_std_Fig2.png diff --git a/vignettes/ENSclustering_vignette.Rmd b/vignettes/ENSclustering_vignette.Rmd index 8310eb98..52707d73 100644 --- a/vignettes/ENSclustering_vignette.Rmd +++ b/vignettes/ENSclustering_vignette.Rmd @@ -73,18 +73,21 @@ results <- CST_EnsClustering(datalist, numclus = numcl, numpcs = 4, The EnsClustering produces the following outputs saved in object results: ```r +names(results) #[1] "cluster" "freq" "closest_member" "repr_field" #[5] "composites" "lat" "on" ``` -where: cluster contains 'member' and 'sdate' -freq contains 'cluster' -closest_member contains 'cluster' -repr_field contains 'cluster', 'lat' and 'lon' -composites contains 'cluster', 'lat' and 'lon' -lat contains the 22 grid point latitudes -lon containing the 53 grid point longitudes +where: + +- $cluster contains the cluster assigned for each 'member' and 'sdate' +- $freq contains relative frequency by 'cluster' +- $closest_member the representative member for each 'cluster' +- $repr_field contains list of fields for each representative member 'cluster', 'lat' and 'lon' +- $composites contains the list of mean fields for 'cluster', 'lat' and 'lon' +- $lat contains the 22 grid point latitudes +- $lon containing the 53 grid point longitudes So, for instance, the overall frequency per cluster can be displayed by querying the '$freq' in 'results' obtaining: @@ -191,8 +194,8 @@ EnsMean <- InsertDim(InsertDim(InsertDim(EnsMean[1,,,], posdim = 1, lendim = 1, name = 'dataset') ExpMeanSd <- Reorder(ExpMean - EnsMean, c('dataset', 'sdate', 'member' , 'lat', 'lon')) PlotLayout(PlotEquiMap, plot_dims = c("lat", "lon"), - var = ExpMeanSd[,1:6, 1:4, , ], - ncol = 6, row = 4, + var = ExpMeanSd[, , 1:4, , ], title_scale = 0.7, + ncol = 6, nrow = 4, row_titles = paste('member' , 1:4), col_titles = paste('sdate', 1:6), lon = results$lon, lat = results$lat, filled.continents = FALSE, titles = as.character(t(results$cluster[1:4, 1:6,])), brks = seq(-2, 2, 0.5), width = 24, height = 20, size_units = 'cm', @@ -208,7 +211,7 @@ The clustering command with respect to 'members' is listed below: ```r print('clustering over members') -results_memb <- CST_EnsClustering(datalist, numclus = numclu, numpcs = 4, time_moment = 'mean', cluster_dim = 'member') +results_memb <- CST_EnsClustering(datalist, numclus = numcl, numpcs = 4, time_moment = 'mean', cluster_dim = 'member') ``` Also, in addition to 'mean', the 'time_moment' can be set to 'sd', i.e. standard deviation along time, or 'perc', i.e. a percentile along time (in which case the 'time_percentile' argument is also needed). The latter option 'perc' may be useful when considering extremes, so for instance while analysing extreme temperatures with a high percentile (e.g. 90). @@ -216,7 +219,7 @@ The clustering command with respect to 'member - start-dates' pairs over the 90t ```r print('clustering using time_percentile') -results_perc <- CST_EnsClustering(datalist, numclus = numclu, numpcs = 4, time_moment = 'perc', time_percentile = 90, cluster_dim = c('member', 'sdate')) +results_perc <- CST_EnsClustering(datalist, numclus = numcl, numpcs = 4, time_moment = 'perc', time_percentile = 90, cluster_dim = c('member', 'sdate')) ``` -Finally, the parameter 'time_dim' lets the user specify the dimension(s) over which the 'time_moment' is applied (i.e. mean, sd, perc). If 'time_dim' is not specified, the dimension is sought automatically picking the first between 'ftime', 'sdate', and 'time'. \ No newline at end of file +Finally, the parameter 'time_dim' lets the user specify the dimension(s) over which the 'time_moment' is applied (i.e. mean, sd, perc). 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