Linear Regression Statistics

Regression channel: this ProRealTime script is designed to generate a linear regression channel and perform several analytical determinations based on this regression.

Here’s a complete analysis and explanation of the code:

**Parameter definition** : The script begins by defining the parameters of the regression channel, such as channel type, deviation multiplier and drawing colors.
**Regression calculations**: it uses a “for” loop to calculate the sums of price (sumy), time (sumx) and their respective products and squares needed to compute the slope (b ) and y-intercept (a) of the linear regression line.
**Draw the regression line**: Once “a” and “b” have been determined, a segment is drawn to represent the regression line.
**Calculate channel width** : The channel width is determined by the standard deviation or standard error multiplied by a deviation factor “NbDeviation”.
**Draw channel**: The script draws the upper and lower limits of the channel, as well as the median line. Green triangles suggest bullish zones and red bearish zones, indicating buy and sell zones.

defparam drawonlastbaronly=true
if islastbarupdate then
// --- settings
//lookback= max(1,barindex) //channel period
lookback = 200
ChannelType = 1 //1= Standard Deviation ; 2= Standard Erro
NbDeviation = NbD //Deviation multiplier
colorRed = 255
colorGreen = 255
colorBlue = 0
// --- end of settings

sumx = 0
sumy = 0
sumxy = 0
sumx2 = 0

for cmpt = lookback downto 0 do

tmpx = cmpt
tmpy = close[cmpt]
sumy = sumy+tmpy
sumx = sumx+tmpx
sumx2 = sumx2 + (tmpx*tmpx)
sumxy = sumxy + (tmpy*tmpx)
next

n = lookback+1

if (sumx2 = sumx * sumx) then // protection to avoid infinite values
b = sumxy - sumx * sumy
else
b = (n * sumxy - sumx * sumy) / (n * sumx2 - sumx * sumx)
endif
a = (sumy - b * sumx) / n
yy=a
drawsegment(barindex[lookback],a+b*lookback,barindex,a+b) coloured("red")

//channel
if ChannelType = 1 then //Standard Deviation
dat = std[lookback]*NbDeviation
dat2=dat*1.2
else
dat = std[lookback]*NbDeviation
dat2=dat*1.2
endif

compt=0
hauteur=(a+b*lookback)+(a+b)
coordX=barindex+lookback
dist= (abs((a+b)-hauteur)-(a+b))
Coordx1=barindex[Lookback]
coordY=(a+b+dat)-dist
coordY1=(a+b)-dist
coordY2=(a+b-dat)-dist
m = round(((coordy1-(a+b))*100) / lookback,2)
Pente = m//round(((a-(a[lookback]))) / lookback,2) barindex,a+b,coordX ,coordy1)
ANGLE = round(ATAN(pente))
ec=round(((a+b)+dat/2)-(a+b),2)
DRAWTRIANGLE(barindex[lookback],(a+b*lookback)+dat, barindex,a+b*0+dat,barindex,a+b*0) coloured("green",alpha/12) BORDERCOLOR("green",1)
DRAWTRIANGLE(barindex[lookback],(a+b*lookback)+dat, barindex[lookback],a+b*lookback,barindex,a+b*0)coloured("green",alpha/12) BORDERCOLOR("green",1)

DRAWTRIANGLE(barindex[lookback],(a+b*lookback)-dat, barindex,a+b*0-dat,barindex,a+b*0) coloured("red",alpha/12) BORDERCOLOR("red",1)
DRAWTRIANGLE(barindex[lookback],(a+b*lookback)-dat, barindex[lookback],a+b*lookback,barindex,a+b*0)coloured("red",alpha/12) BORDERCOLOR("red",1)

drawsegment(barindex[lookback],(a+b*lookback)+dat/2,barindex,a+b*0+dat/2) coloured("gray") style(dottedline2)
drawsegment(barindex[lookback],(a+b*lookback)+dat,barindex,a+b*0+dat) coloured("gray") style(dottedline2)
drawsegment(barindex[lookback],(a+b*lookback)-dat/2,barindex,a+b*0-dat/2) coloured("gray") style(dottedline2)
drawsegment(barindex[lookback],(a+b*lookback)-dat,barindex,a+b*0-dat) coloured("gray") style(dottedline2)
drawsegment(barindex[lookback],(a+b*lookback)+dat2,barindex,a+b*0+dat2) coloured("gray") style(dottedline2)
drawsegment(barindex[lookback],(a+b*lookback)-dat2,barindex,a+b*0-dat2) coloured("gray") style(dottedline2)
//drawsegment(barindex,a+b*0+dat,coordX,a+b*0+dat) coloured("gray") style(dottedline2)
//drawsegment(barindex[lookback],(a+b*lookback)-dat,barindex,a+b*0-dat) coloured("gray") style(dottedline2)
if futur=1 then
a1=a+b+dat
a2=a+b+dat/2
a3=a+b-dat
a4=a+b-dat/2
a5=a+b
b1=a1+(a1-a2)*0.5
b2=a1-(a1-a2)*0.5
b3=a5-(a5-a4)*0.5
b4=a2-(a2-a5)*0.5
b5=a4-(a4-a3)*0.5
drawsegment(barindex,a+b+dat,coordX ,coordy) coloured("gray") style(dottedline2)
drawsegment(barindex,a+b,coordX ,coordy1)coloured("red")
drawsegment(barindex,a+b-dat,coordX ,coordy2) coloured("gray") style(dottedline2)
drawsegment(Coordx1 ,a+b+dat,coordX ,a+b+dat) coloured("gray") style(line,1)
drawsegment(Coordx1,a+b+dat/2,coordX ,a+b+dat/2) coloured("gray") style(line,1)
drawsegment(Coordx1 ,a+b+dat,coordX ,a+b+dat) coloured("gray") style(line,1)
drawsegment(Coordx1,a+b,coordX ,a+b) coloured("red") style(line,1)
drawsegment(Coordx1,a+b-dat/2,coordX ,a+b-dat/2) coloured("gray") style(line,1)
drawsegment(Coordx1 ,a+b-dat,coordX ,a+b-dat) coloured("gray") style(line,1)
DRAWTEXT ("Zone de Forte Vente",10+y1,b1,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,00,255)
DRAWTEXT ("Zone de Vente",10+y1,b2,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)
DRAWTEXT ("Zone d'Allegement",10+y1,b4,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)
DRAWTEXT ("Zone de Renforcement",10+y1,b3,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,150,0,255)
DRAWTEXT ("Zone d'Achat",10+y1,b5,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,150,0,255)
DRAWTEXT ("#a1#",10+y1,a1,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)
DRAWTEXT ("#a2#",10+y1,a2,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)
DRAWTEXT ("#a3#",10+y1,a3,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)
DRAWTEXT ("#a4#",10+y1,a4,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)
DRAWTEXT ("#a5#",10+y1,a5,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)
endif
endif
Ra=M>=-1 and M<=1

drawrectangle(25+X,112+Y,180+X,130+Y)anchor(bottomleft)coloured(0,0,150,alpha)bordercolor(0,50,100,0)
drawrectangle(25+X,80+Y,180+X,110+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)

DRAWTEXT("Tendance #lookback# Périodes",100+X,121+Y,Dialog,Bold,12)anchor(bottomleft) coloured(210,210,210,alpha)
if M>1 then

drawrectangle(1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured(0,180,0,alpha)bordercolor(0,50,100,0)
DRAWTEXT("Haussiére",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft) coloured(0,180,0,255)
endif
if m<-1 then

drawrectangle(1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured(250,0,0,alpha)bordercolor(0,50,100,0)
DRAWTEXT("Baissiére",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft) coloured(250,0,0,255)
endif
if ra then

drawrectangle (1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured (180,180,180,alpha)bordercolor (0,50,100,0)
DRAWTEXT ("Range",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft ) coloured(0,180,180,255)
endif
drawrectangle(25+X,40+Y,180+X,78+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)
DRAWTEXT ("Pente%#Pente#",100+X,60+Y,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)

drawrectangle(25+X,1+Y,180+X,38+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)
DRAWTEXT ("EcartType #ec#",100+X,20+Y,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)
drawrectangle(25+X,Y-38,180+X,Y-2)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)
if close>= a+b and close < (a+b+dat/2) THEN
DRAWTEXT ("Allegement",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)
endif
if close> a+b+dat THEN
DRAWTEXT ("Vente Forte",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(250,0,0,255)
endif
if close>= a+b+dat/2 and close<= a+b+dat THEN
DRAWTEXT ("Vente",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(250,0,0,255)
endif
if close< a+b and close>= (a+b-dat/2)THEN
DRAWTEXT ("Renforcement",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)
endif
if close<= a+b-dat/2 and close>(a+b-dat) THEN
DRAWTEXT ("Achat",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,150,0,255)
endif
if close<=(a+b-dat) THEN
DRAWTEXT ("Achat Fort",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,150,0,255)
endif

/////////////////////////////////////////////////////
return customclose as " Linear regression channel V1 "

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defparam drawonlastbaronly=true

if islastbarupdate then

// --- settings

//lookback= max(1,barindex) //channel period

lookback = 200

ChannelType = 1 //1= Standard Deviation ; 2= Standard Erro

NbDeviation = NbD //Deviation multiplier

colorRed = 255

colorGreen = 255

colorBlue = 0

// --- end of settings

sumx = 0

sumy = 0

sumxy = 0

sumx2 = 0

for cmpt = lookback downto 0 do

tmpx = cmpt

tmpy = close[cmpt]

sumy = sumy+tmpy

sumx = sumx+tmpx

sumx2 = sumx2 + (tmpx*tmpx)

sumxy = sumxy + (tmpy*tmpx)

n = lookback+1

if (sumx2 = sumx * sumx) then // protection to avoid infinite values

b = sumxy - sumx * sumy

else

b = (n * sumxy - sumx * sumy) / (n * sumx2 - sumx * sumx)

endif

a = (sumy - b * sumx) / n

yy=a

drawsegment(barindex[lookback],a+b*lookback,barindex,a+b) coloured("red")

//channel

if ChannelType = 1 then //Standard Deviation

dat = std[lookback]*NbDeviation

dat2=dat*1.2

else

dat = std[lookback]*NbDeviation

dat2=dat*1.2

endif

compt=0

hauteur=(a+b*lookback)+(a+b)

coordX=barindex+lookback

dist= (abs((a+b)-hauteur)-(a+b))

Coordx1=barindex[Lookback]

coordY=(a+b+dat)-dist

coordY1=(a+b)-dist

coordY2=(a+b-dat)-dist

m = round(((coordy1-(a+b))*100) / lookback,2)

Pente = m//round(((a-(a[lookback]))) / lookback,2) barindex,a+b,coordX ,coordy1)

ANGLE = round(ATAN(pente))

ec=round(((a+b)+dat/2)-(a+b),2)

DRAWTRIANGLE(barindex[lookback],(a+b*lookback)+dat, barindex,a+b*0+dat,barindex,a+b*0) coloured("green",alpha/12) BORDERCOLOR("green",1)

DRAWTRIANGLE(barindex[lookback],(a+b*lookback)+dat, barindex[lookback],a+b*lookback,barindex,a+b*0)coloured("green",alpha/12) BORDERCOLOR("green",1)

DRAWTRIANGLE(barindex[lookback],(a+b*lookback)-dat, barindex,a+b*0-dat,barindex,a+b*0) coloured("red",alpha/12) BORDERCOLOR("red",1)

DRAWTRIANGLE(barindex[lookback],(a+b*lookback)-dat, barindex[lookback],a+b*lookback,barindex,a+b*0)coloured("red",alpha/12) BORDERCOLOR("red",1)

drawsegment(barindex[lookback],(a+b*lookback)+dat/2,barindex,a+b*0+dat/2) coloured("gray") style(dottedline2)

drawsegment(barindex[lookback],(a+b*lookback)+dat,barindex,a+b*0+dat) coloured("gray") style(dottedline2)

drawsegment(barindex[lookback],(a+b*lookback)-dat/2,barindex,a+b*0-dat/2) coloured("gray") style(dottedline2)

drawsegment(barindex[lookback],(a+b*lookback)-dat,barindex,a+b*0-dat) coloured("gray") style(dottedline2)

drawsegment(barindex[lookback],(a+b*lookback)+dat2,barindex,a+b*0+dat2) coloured("gray") style(dottedline2)

drawsegment(barindex[lookback],(a+b*lookback)-dat2,barindex,a+b*0-dat2) coloured("gray") style(dottedline2)

//drawsegment(barindex,a+b*0+dat,coordX,a+b*0+dat) coloured("gray") style(dottedline2)

//drawsegment(barindex[lookback],(a+b*lookback)-dat,barindex,a+b*0-dat) coloured("gray") style(dottedline2)

if futur=1 then

a1=a+b+dat

a2=a+b+dat/2

a3=a+b-dat

a4=a+b-dat/2

a5=a+b

b1=a1+(a1-a2)*0.5

b2=a1-(a1-a2)*0.5

b3=a5-(a5-a4)*0.5

b4=a2-(a2-a5)*0.5

b5=a4-(a4-a3)*0.5

drawsegment(barindex,a+b+dat,coordX ,coordy) coloured("gray") style(dottedline2)

drawsegment(barindex,a+b,coordX ,coordy1)coloured("red")

drawsegment(barindex,a+b-dat,coordX ,coordy2) coloured("gray") style(dottedline2)

drawsegment(Coordx1 ,a+b+dat,coordX ,a+b+dat) coloured("gray") style(line,1)

drawsegment(Coordx1,a+b+dat/2,coordX ,a+b+dat/2) coloured("gray") style(line,1)

drawsegment(Coordx1 ,a+b+dat,coordX ,a+b+dat) coloured("gray") style(line,1)

drawsegment(Coordx1,a+b,coordX ,a+b) coloured("red") style(line,1)

drawsegment(Coordx1,a+b-dat/2,coordX ,a+b-dat/2) coloured("gray") style(line,1)

drawsegment(Coordx1 ,a+b-dat,coordX ,a+b-dat) coloured("gray") style(line,1)

DRAWTEXT ("Zone de Forte Vente",10+y1,b1,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,00,255)

DRAWTEXT ("Zone de Vente",10+y1,b2,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)

DRAWTEXT ("Zone d'Allegement",10+y1,b4,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)

DRAWTEXT ("Zone de Renforcement",10+y1,b3,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,150,0,255)

DRAWTEXT ("Zone d'Achat",10+y1,b5,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,150,0,255)

DRAWTEXT ("#a1#",10+y1,a1,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)

DRAWTEXT ("#a2#",10+y1,a2,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)

DRAWTEXT ("#a3#",10+y1,a3,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)

DRAWTEXT ("#a4#",10+y1,a4,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(0,180,180,255)

DRAWTEXT ("#a5#",10+y1,a5,Dialog,Bold,12) anchor(MIDDLE ,xshift,value)coloured(250,0,0,255)

endif

Ra=M>=-1 and M<=1

drawrectangle(25+X,112+Y,180+X,130+Y)anchor(bottomleft)coloured(0,0,150,alpha)bordercolor(0,50,100,0)

drawrectangle(25+X,80+Y,180+X,110+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)

DRAWTEXT("Tendance #lookback# Périodes",100+X,121+Y,Dialog,Bold,12)anchor(bottomleft) coloured(210,210,210,alpha)

if M>1 then

drawrectangle(1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured(0,180,0,alpha)bordercolor(0,50,100,0)

DRAWTEXT("Haussiére",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft) coloured(0,180,0,255)

endif

if m<-1 then

drawrectangle(1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured(250,0,0,alpha)bordercolor(0,50,100,0)

DRAWTEXT("Baissiére",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft) coloured(250,0,0,255)

endif

if ra then

drawrectangle (1800-X1,1000,2000-X1,0)anchor(bottomleft)coloured (180,180,180,alpha)bordercolor (0,50,100,0)

DRAWTEXT ("Range",100+X,95+Y,Dialog,Bold,20)anchor(bottomleft ) coloured(0,180,180,255)

endif

drawrectangle(25+X,40+Y,180+X,78+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)

DRAWTEXT ("Pente%#Pente#",100+X,60+Y,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)

drawrectangle(25+X,1+Y,180+X,38+Y)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)

DRAWTEXT ("EcartType #ec#",100+X,20+Y,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)

drawrectangle(25+X,Y-38,180+X,Y-2)anchor(bottomleft)coloured(0,50,100,alpha)bordercolor(0,50,100,0)

if close>= a+b and close < (a+b+dat/2) THEN

DRAWTEXT ("Allegement",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)

endif

if close> a+b+dat THEN

DRAWTEXT ("Vente Forte",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(250,0,0,255)

endif

if close>= a+b+dat/2 and close<= a+b+dat THEN

DRAWTEXT ("Vente",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(250,0,0,255)

endif

if close< a+b and close>= (a+b-dat/2)THEN

DRAWTEXT ("Renforcement",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,180,180,255)

endif

if close<= a+b-dat/2 and close>(a+b-dat) THEN

DRAWTEXT ("Achat",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,150,0,255)

endif

if close<=(a+b-dat) THEN

DRAWTEXT ("Achat Fort",100+X,Y-20,Dialog,Bold,15)anchor(bottomleft ) coloured(0,150,0,255)

endif

/////////////////////////////////////////////////////

return customclose as " Linear regression channel V1 "

channel linear regression statistical

Risk disclosure:

No information on this site is investment advice or a solicitation to buy or sell any financial instrument. Past performance is not indicative of future results. Trading may expose you to risk of loss greater than your deposits and is only suitable for experienced investors who have sufficient financial means to bear such risk.

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Nicolas Add it on price using the wrench on the left upper side of the price chart.

Stenozar thanks Nicolas, I' ll try again!

Radetzky Buongiono e grazie : l'immagine sopra ritrae l'indicatore sul TF 15 min ma a me funzio...

TempusFugit Masala, thanks for your contribution. I don´t like the offmarket spreads neither ;) I unders...

Uveus Tempus, me da un error al validar el codigo, sobre la variable N. Al crear el indicador me ...

TempusFugit Hi Uveus, I am guessing you inserted the code of the indicator into the system code, is ...

finplus bonjour, il y a un problème à la fin du code avec elsif (close 0 then ... ne manque t il pas...

kj1988 Hello Nicolas, thank you for this useful indicator. Could you tell me how I can remove the...

Nicolas remove lines 101 to 103

KarlBenjamin This "indicator" alone has completely changed my algorithms for the better! Id even go as fa...

ashee CAN YOU SHARE MT4 FILE

coyP Big thanks ! Can you explain me how can I put this ON my graph and not under the graph please ?

diegofe_2000 cordial saludo NICOLAS , gracias por excelente indicador. ¿ es posible obtenerlo en MT4 ? ...

Nicolas Lo siento, pero no estoy trabajando para ayudar a la gente aquí de forma gratuita para promo...

diegofe_2000 Nicolas , gracias por tu atención. La pregunta era por curiosidad (yo no trabajo ni manejo ...

Maxime Baudin Nice, thanks!

rowestock Hi Nicolas, I am revisiting this indicator and wanted to ask, is it possible to replace sty...

Nicolas Why not, please add a new request in our probuilder forums.

albertocampagna Sei grande Nicolas :-)

SAcht Dear Nicolas, Great work, thank you very much!I would love to use the indicator in ProScree...

SAcht btw: The above-posted ProScreener is supposed to show stocks for which the center line has i...

xel @DerPat - I don't see any question regarding the indicator. Anyway, I think I give enough l...

diegofe_2000 Xel, tu eres el creador de este indicador? Bueno te cuento que es muy bueno para hacer est...

xel Buen día @diegofe_2000 - Claro, mandalo y por aquí lo probamos en otros instrumentos y si g...

mamio Very nice indicator. Why doesn't it refresh as time passes?

Nicolas It should refresh on each bar.

mamio On my PC it doesn't refresh. I am using intraday tick bars (not minutes). Unfortunately I do...

Nicolas I would not recommend using this version of the linear regression channel, but this one inst...

Aragorna Hello, Is it possible to updated the indicator to the more updated versione of ProrealTime? ...

Nicolas Use that code instead: https://www.prorealcode.com/prorealtime-indicators/standard-deviation...

Nicolas You can try this code for buy and hold curve line: capital = 10000 mylot = 2 i1 = capi...

soukenson Bonjour Nicolas, Je ne comprends pas où ajouter le code que tu as a donné dans le code initi...

Nicolas Tu veux parler du code pour comparer avec le "buy and hold" ? Si oui, tu as tout ce qu'il fa...

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