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werkloosheid gemiddelde

R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Thu, 22 Nov 2007 08:08:22 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/22/t11957436133sd56wnl5aitpwn.htm/, Retrieved Thu, 22 Nov 2007 16:00:15 +0100
 
User-defined keywords:
bridome
 
Dataseries X:
» Textbox « » Textfile « » CSV «
17.0234037008088 9.56996242724384 9.4449624272435 7.56996242724347 0.569962427243631 -8.30503757275661 -6.55503757275662 -3.35967987142745 -5.73467987142732 -10.6096798714273 7.51532012857262 -6.35967987142736 -10.9876053340285 -20.4410466075928 -24.5660466075928 -20.4410466075928 -22.4410466075928 -24.3160466075928 -22.5660466075928 -11.3706889062636 -15.7456889062636 -16.6206889062636 -5.4956889062636 3.62931109373641 5.00138563113531 -15.4520556424290 -15.577055642429 -13.4520556424290 -9.452055642429 -4.32705564242898 -6.57705564242899 5.6183020589002 7.24330205890018 14.3683020589002 7.49330205890017 11.6183020589002 18.9903765962991 20.5369353227347 23.4119353227348 27.5369353227348 30.5369353227348 33.6619353227348 39.4119353227348 -30.9555685865694 -24.3305685865694 -16.2055685865694 -20.0805685865694 -15.9555685865694 -17.5834940491705 -24.0369353227348 -16.1619353227348 -12.0369353227348 -8.03693532273481 -3.91193532273477 -8.16193532273478 3.0334223785944 9.65842237859439 6.78342237859437 8.90842237859439 17.0334223785944 26.4054969159933 20.9520556424289 21.8270556424290 14.952055642429 17.9520556424290 23.077055642429 18.827055642429 31.0224133437582 33.6474133437582 31.7724133437581 24.8974133437582 30.0224133437582 25.3944878811571 19.9410466075927 21.8160466075928 14.9410466075928 16.9410466075927 17.0660466075928 17.8160466075928 35.0114043089220 35.6364043089219 28.7614043089219 19.8864043089219 20.0114043089219 -0.616521153679177 -11.0699624272435 -20.1949624272435 -19.0699624272435 -26.0699624272435 -32.9449624272434 -32.1949624272435 -28.9996047259143 -40.3746047259143 -38.2496047259143 -43.1246047259143 -59.9996047259143 -63.6275301885154
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean9.90544988529932e-162.265082900350884.37310699920294e-16
Geometric MeanNaN
Harmonic Mean-5992.31904242385
Quadratic Mean22.1931893238522
Winsorized Mean ( 1 / 32 )-0.001521706713522802.24766714424339-0.000677016041908213
Winsorized Mean ( 2 / 32 )0.3335298396782322.160464439243160.154378768573980
Winsorized Mean ( 3 / 32 )0.3768452318580092.136224192345050.176407154833466
Winsorized Mean ( 4 / 32 )0.463875253343512.119080821588370.21890399300382
Winsorized Mean ( 5 / 32 )0.6406609388420052.054221216579430.311875339263021
Winsorized Mean ( 6 / 32 )0.6406609388420052.039117619876580.314185377340215
Winsorized Mean ( 7 / 32 )0.6950672351054582.018896299523450.344280800984937
Winsorized Mean ( 8 / 32 )0.8139490397799731.986594327307160.409720811436769
Winsorized Mean ( 9 / 32 )0.9687706828161641.92772147483420.50254702012877
Winsorized Mean ( 10 / 32 )0.9975796347196281.886720058717950.528737493466569
Winsorized Mean ( 11 / 32 )0.8959758796381941.864408597004500.480568412459446
Winsorized Mean ( 12 / 32 )0.7726991304596871.846554740730810.418454494424507
Winsorized Mean ( 13 / 32 )0.7434875605315251.832071322966590.405818022044921
Winsorized Mean ( 14 / 32 )0.7413818875177141.773575575498560.418015390919730
Winsorized Mean ( 15 / 32 )0.7089262668518691.764063675843320.401871132295132
Winsorized Mean ( 16 / 32 )0.8326376070580541.6929646830320.49182219534955
Winsorized Mean ( 17 / 32 )0.8307081885816071.692715482373570.490754764892187
Winsorized Mean ( 18 / 32 )0.7160450738737431.666246410943630.429735403581893
Winsorized Mean ( 19 / 32 )0.6571398872615591.653081314037650.397524236515924
Winsorized Mean ( 20 / 32 )0.7571553811817861.612593786883620.469526415976716
Winsorized Mean ( 21 / 32 )1.063736043157251.570170104009950.677465479976116
Winsorized Mean ( 22 / 32 )1.269711121231411.541908842591980.823467046921532
Winsorized Mean ( 23 / 32 )1.155681533217421.503551514750770.768634477687973
Winsorized Mean ( 24 / 32 )1.126068084136471.497268367978550.75208166299323
Winsorized Mean ( 25 / 32 )0.9537399233543541.463336349324340.651757146465145
Winsorized Mean ( 26 / 32 )0.9735403025523911.452169322806980.670404123859728
Winsorized Mean ( 27 / 32 )0.8117165718671781.421490336280200.571032071868532
Winsorized Mean ( 28 / 32 )0.8383817428779481.416039835128290.592060846086292
Winsorized Mean ( 29 / 32 )1.433324612405961.345361593635531.06538243635507
Winsorized Mean ( 30 / 32 )1.845519424718781.292556751369761.42780533447605
Winsorized Mean ( 31 / 32 )1.422786630806741.192476351764011.19313613951508
Winsorized Mean ( 32 / 32 )1.518363519609681.180995359561901.28566425542344
Trimmed Mean ( 1 / 32 )0.2549009985871652.173035827948320.117301792869118
Trimmed Mean ( 2 / 32 )0.5223526374491732.087360051336820.25024558514217
Trimmed Mean ( 3 / 32 )0.6229889637336862.042994363966850.304939149476672
Trimmed Mean ( 4 / 32 )0.712411967448822.002633236929710.355737613014471
Trimmed Mean ( 5 / 32 )0.7816880055758741.962198827887910.398373495318655
Trimmed Mean ( 6 / 32 )0.8138753596304271.934117163246580.420799409206558
Trimmed Mean ( 7 / 32 )0.8138753596304271.905308485002040.427161987697522
Trimmed Mean ( 8 / 32 )0.8737109619247681.876355094303580.465642651850529
Trimmed Mean ( 9 / 32 )0.8828832822539531.849240052145100.47743032670627
Trimmed Mean ( 10 / 32 )0.8708615248881031.828630587022380.476236989071783
Trimmed Mean ( 11 / 32 )0.8544726493498921.811390751197920.471721879326594
Trimmed Mean ( 12 / 32 )0.8494591831755891.794374577784180.47340125840646
Trimmed Mean ( 13 / 32 )0.8581982971585031.776631100889660.483048110960543
Trimmed Mean ( 14 / 32 )0.8581982971585031.757321527965080.488355877681797
Trimmed Mean ( 15 / 32 )0.8839658561505721.742875623693690.507188145920118
Trimmed Mean ( 16 / 32 )0.9013800511884941.726192893138830.522178057140223
Trimmed Mean ( 17 / 32 )0.9079951474986651.716038353876870.529122875049573
Trimmed Mean ( 18 / 32 )0.9152244965969821.702570308820680.537554597220088
Trimmed Mean ( 19 / 32 )0.9334169674106871.689022813897030.552637276258596
Trimmed Mean ( 20 / 32 )0.95816200598361.673203461659140.572651221408237
Trimmed Mean ( 21 / 32 )0.9758871356252151.658787990877080.588313359508478
Trimmed Mean ( 22 / 32 )0.9682309415276341.646130006310740.588186192959088
Trimmed Mean ( 23 / 32 )0.9421671470256141.633083505571810.576925272841894
Trimmed Mean ( 24 / 32 )0.923790132419931.621097246159600.569854852698321
Trimmed Mean ( 25 / 32 )0.923790132419931.604873766750730.575615448117307
Trimmed Mean ( 26 / 32 )0.9023135358449511.588088379919050.568175894524804
Trimmed Mean ( 27 / 32 )0.8961337537603161.566251373456490.572151934834494
Trimmed Mean ( 28 / 32 )0.8961337537603161.541606428335210.581298661765477
Trimmed Mean ( 29 / 32 )0.9093177874452411.507932848477700.603022732983912
Trimmed Mean ( 30 / 32 )0.8619471797833681.476509475508500.58377355112233
Trimmed Mean ( 31 / 32 )0.8619471797833681.443227968938870.597235640061154
Trimmed Mean ( 32 / 32 )0.7092899282109491.420230814413650.499418771239507
Median0.569962427243631
Midrange-12.1077974328903
Midmean - Weighted Average at Xnp0.550805434294742
Midmean - Weighted Average at X(n+1)p0.92379013241993
Midmean - Empirical Distribution Function0.92379013241993
Midmean - Empirical Distribution Function - Averaging0.92379013241993
Midmean - Empirical Distribution Function - Interpolation0.92379013241993
Midmean - Closest Observation0.581202958040145
Midmean - True Basic - Statistics Graphics Toolkit0.92379013241993
Midmean - MS Excel (old versions)0.92379013241993
Number of observations97
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/22/t11957436133sd56wnl5aitpwn/1nkzq1195744099.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/22/t11957436133sd56wnl5aitpwn/1nkzq1195744099.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/22/t11957436133sd56wnl5aitpwn/28mg51195744099.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/22/t11957436133sd56wnl5aitpwn/28mg51195744099.ps (open in new window)


 
Parameters:
 
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
midmean <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('http://www.xycoon.com/winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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