{VERSION 2 3 "IBM INTEL NT" "2.3" }
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{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 
{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 
0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 662 "f:=y=ln(x)-c;\nA(0,
0) := 1/y;\nB(0,0) := implicitdiff(f,y,x)/y;\nfor i from 1 to 6 do w :
= i;\nA(0,w):= simplify(sum('(-1)^(a-1)*y^(a-1)*implicitdiff(f,y,x$a)*
y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1));B(0,w):= simplify(sum('(-1)^
(a)*y^(a)*implicitdiff(f,y,x$(a+1))*y^(w-a+1)*A(0,w-a)/a!','a'=0..w)/y
^(w+1));A(l,0) := simplify(x^l*y*A(0,0)/y);\nB(l,0) := simplify(x^l*y*
B(0,0)/y);\nA(l,w) := simplify(sum('(-1)^(a)*l!/(a!*(l-a)!)*x^(l-a)*y^
a*y^(w-a+1)*A(0,w-a)','a'=0..w)/y^(w+1));\nB(l,w) := simplify(sum('(-1
)^(a)*l!/(a!*(l-a)!)*x^(l-a)*y^a*y^(w-a+1)*B(0,w-a)','a'=0..w)/y^(w+1)
);\nxprimeA := x - simplify(A(l,w-1)/A(l,w));\nxprimeB := x - simplify
(B(l,w-1)/B(l,w));\nod;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG/%\"y
G,&-%#lnG6#%\"xG\"\"\"%\"cG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-
%\"AG6$\"\"!F'*$%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6
$\"\"!F'*&%\"xG!\"\"%\"yGF*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG
\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"\"*&%\"xG!
\"\"%\"yG!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"\"*
(,&F(F(%\"yGF(F(%\"xG!\"#F+F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"
AG6$%\"lG\"\"!*&)%\"xGF'\"\"\"%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>-%\"BG6$%\"lG\"\"!*&)%\"xG,&F'\"\"\"!\"\"F-F-%\"yGF." }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"\",$*()%\"xG,&F'F(!\"\"F(F
(,&F.F(*&F'F(%\"yGF(F(F(F1!\"#F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-
%\"BG6$%\"lG\"\"\",$*()%\"xG,&F'F(!\"#F(F(,(!\"\"F(%\"yGF0*&F'F(F1F(F(
F(F1F.F0" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(xprimeAG,&%\"xG\"\"\"*(
F&F'%\"yGF',&!\"\"F'*&%\"lGF'F)F'F'F+F'" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%(xprimeBG,&%\"xG\"\"\"*(F&F'%\"yGF',(!\"\"F'F)F+*&%\"lGF'F)F'F
'F+F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"#" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"#,$*(,&F(\"\"\"%\"yGF,F,%\"xG!\"#F
-!\"$#F,F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"#,$*(,
(F(\"\"\"%\"yG\"\"$*$F-F(F(F,%\"xG!\"$F-F1#F,F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'\"\"\"%\"yG!\"\"" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"!*&)%\"xG,&F'\"\"\"!\"\"F-
F-%\"yGF." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"#,$*()%
\"xG,&F'\"\"\"!\"#F.F.,,F(F.%\"yGF.*&F'F.F1F.F/*&F'F(F1F(F.*&F'F.F1F(!
\"\"F.F1!\"$#F.F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"
\"#,$*()%\"xG,&F'\"\"\"!\"$F.F.,.F(F.%\"yG\"\"$*$F1F(F(*&F'F.F1F.!\"#*
&F'F.F1F(F/*&F'F(F1F(F.F.F1F/#F.F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%(xprimeAG,&%\"xG\"\"\"**F&F',&!\"\"F'*&%\"lGF'%\"yGF'F'F'F-F',,\"\"#
F'F-F'F+!\"#*&F,F/F-F/F'*&F,F'F-F/F*F*F/" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%(xprimeBG,&%\"xG\"\"\"**F&F',(!\"\"F'%\"yGF**&%\"lGF'F+F'F'F'F
+F',.\"\"#F'F+\"\"$*$F+F/F/F,!\"#*&F-F'F+F/!\"$*&F-F/F+F/F'F*F/" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"$,$*(,(F(\"\"\"%\"yGF(*$F-\"\"#F,F,%
\"xG!\"$F-!\"%#F,F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!
\"\"$,$*(,*\"\"'\"\"\"%\"yG\"#7*$F.\"\"#\"#6*$F.F(F,F-%\"xG!\"%F.F5#F-
F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"xGF'\"
\"\"%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"!*
&)%\"xG,&F'\"\"\"!\"\"F-F-%\"yGF." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
-%\"AG6$%\"lG\"\"$,$*()%\"xG,&F'\"\"\"!\"$F.F.,4!\"'F.%\"yGF1*$F2\"\"#
!\"#*&F'F.F2F.\"\"'*&F'F.F2F4F7*&F'F4F2F4F/*&F'F(F2F(F.*&F'F4F2F(F/*&F
'F.F2F(F4F.F2!\"%#!\"\"F7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$
%\"lG\"\"$,$*()%\"xG,&F'\"\"\"!\"%F.F.,6!\"'F.%\"yG!#7*$F2\"\"#!#6*$F2
F(F1*&F'F.F2F.\"\"'*&F'F.F2F5\"#7*&F'F.F2F(\"#6*&F'F5F2F5!\"$*&F'F5F2F
(F1*&F'F(F2F(F.F.F2F/#!\"\"F9" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(xp
rimeAG,&%\"xG\"\"\"**F&F',,\"\"#F'%\"yGF'*&%\"lGF'F+F'!\"#*&F-F*F+F*F'
*&F-F'F+F*!\"\"F'F+F',4!\"'F'F+F3*$F+F*F.F,\"\"'F0F5F/!\"$*&F-\"\"$F+F
8F'*&F-F*F+F8F6*&F-F'F+F8F*F1F8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(
xprimeBG,&%\"xG\"\"\"**F&F',.\"\"#F'%\"yG\"\"$*$F+F*F**&%\"lGF'F+F'!\"
#*&F/F'F+F*!\"$*&F/F*F+F*F'F'F+F',6!\"'F'F+!#7F-!#6*$F+F,F5F.\"\"'F1\"
#7*&F/F'F+F,\"#6F3F2*&F/F*F+F,F5*&F/F,F+F,F'!\"\"F," }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"wG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"A
G6$\"\"!\"\"%,$*(,*\"#7\"\"\"%\"yG\"#=*$F.\"\"#\"#6*$F.\"\"$F4F-%\"xG!
\"%F.!\"&#F-F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"%,
$*(,,\"#7\"\"\"%\"yG\"#I*$F.\"\"#\"#N*$F.\"\"$\"#D*$F.F(F,F-%\"xG!\"&F
.F8#F-F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"x
GF'\"\"\"%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG
\"\"!*&)%\"xG,&F'\"\"\"!\"\"F-F-%\"yGF." }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>-%\"AG6$%\"lG\"\"%,$*()%\"xG,&F'\"\"\"!\"%F.F.,>\"#CF.%\"yG\"#O
*$F2\"\"#\"#A*$F2\"\"$\"\"'*&F'F.F2F.!#C*&F'F.F2F5!#O*&F'F.F2F8!#A*&F'
F5F2F5\"#7*&F'F5F2F8\"#=*&F'F8F2F8F/*&F'F(F2F(F.*&F'F8F2F(!\"'*&F'F5F2
F(\"#6*&F'F.F2F(FGF.F2!\"&#F.F1" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%
\"BG6$%\"lG\"\"%,$*()%\"xG,&F'\"\"\"!\"&F.F.,@\"#CF.%\"yG\"#g*&F'F.F2F
.!#C*&F'F.F2\"\"#!#g*$F2F7\"#q*$F2\"\"$\"#]*$F2F(F1*&F'F7F2F7\"#7*&F'F
.F2F(!#]*&F'F.F2F<!#q*&F'F(F2F(F.*&F'F<F2F(!#5*&F'F7F2F(\"#N*&F'F<F2F<
!\"%*&F'F7F2F<\"#IF.F2F/#F.F1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(xp
rimeAG,&%\"xG\"\"\"**F&F',4!\"'F'%\"yGF**$F+\"\"#!\"#*&%\"lGF'F+F'\"\"
'*&F0F'F+F-F1*&F0F-F+F-!\"$*&F0\"\"$F+F6F'*&F0F-F+F6F4*&F0F'F+F6F-F'F+
F',>\"#CF'F+\"#OF,\"#A*$F+F6F1F/!#CF2!#OF8!#AF3\"#7F7\"#=F5!\"%*&F0\"
\"%F+FEF'*&F0F6F+FEF**&F0F-F+FE\"#6*&F0F'F+FEF*!\"\"FE" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%(xprimeBG,&%\"xG\"\"\"**F&F',6!\"'F'%\"yG!#7*$F+
\"\"#!#6*$F+\"\"$F**&%\"lGF'F+F'\"\"'*&F3F'F+F.\"#7*&F3F'F+F1\"#6*&F3F
.F+F.!\"$*&F3F.F+F1F**&F3F1F+F1F'F'F+F',@\"#CF'F+\"#gF2!#CF5!#gF-\"#qF
0\"#]*$F+\"\"%F>F9F6*&F3F'F+FE!#]F7!#q*&F3FEF+FEF'*&F3F1F+FE!#5*&F3F.F
+FE\"#NF<!\"%F;\"#I!\"\"FE" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"
\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"&,$*(,,\"#g\"
\"\"%\"yG\"$?\"*$F.\"\"#\"$0\"*$F.\"\"$\"#]*$F.\"\"%\"#7F-%\"xG!\"&F.!
\"'#F-F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"&,$*(,.
\"#g\"\"\"%\"yG\"$!=*$F.\"\"#\"$b#*$F.\"\"$\"$D#*$F.\"\"%\"$P\"*$F.F(F
,F-%\"xG!\"'F.F;#F-F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"l
G\"\"!*&)%\"xGF'\"\"\"%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-
%\"BG6$%\"lG\"\"!*&)%\"xG,&F'\"\"\"!\"\"F-F-%\"yGF." }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"&,$*()%\"xG,&F'\"\"\"!\"&F.F.,J!$?
\"F.%\"yG!$S#*&F'F.F2F.\"$?\"*&F'F.F2\"\"#\"$S#*&F'F7F2F(!#]*&F'\"\"$F
2F(\"#N*&F'\"\"%F2F(!#5*&F'F(F2F(F.*$F2F7!$5#*$F2F<!$+\"*&F'F.F2F(\"#C
*$F2F?!#C*&F'F7F2F7!#g*&F'F.F2F?\"$+\"*&F'F.F2F<\"$5#*&F'F?F2F?F/*&F'F
<F2F?\"#S*&F'F7F2F?!$0\"*&F'F<F2F<\"#?*&F'F7F2F<F1F.F2!\"'#!\"\"F5" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"&,$*()%\"xG,&F'\"\"
\"!\"'F.F.,L!$?\"F.%\"yG!$g$*&F'F.F2F.\"$?\"*&F'F.F2\"\"#\"$g$*$F2F(F1
*&F'F7F2F(!$D#*&F'\"\"$F2F(\"#&)*&F'\"\"%F2F(!#:*&F'F(F2F(F.*$F2F7!$5&
*$F2F=!$]%*&F'F.F2F(\"$u#*$F2F@!$u#*&F'F7F2F7!#g*&F'F.F2F@\"$]%*&F'F.F
2F=\"$5&*&F'F@F2F@!\"&*&F'F=F2F@\"#g*&F'F7F2F@!$b#*&F'F=F2F=\"#?*&F'F7
F2F=!$!=F.F2F/#!\"\"F5" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(xprimeAG,
&%\"xG\"\"\"**F&F',>\"#CF'%\"yG\"#O*$F+\"\"#\"#A*$F+\"\"$\"\"'*&%\"lGF
'F+F'!#C*&F4F'F+F.!#O*&F4F'F+F1!#A*&F4F.F+F.\"#7*&F4F.F+F1\"#=*&F4F1F+
F1!\"%*&F4\"\"%F+FAF'*&F4F1F+FA!\"'*&F4F.F+FA\"#6*&F4F'F+FAFCF'F+F',J!
$?\"F'F+!$S#F3\"$?\"F6\"$S#*&F4F.F+\"\"&!#]*&F4F1F+FM\"#N*&F4FAF+FM!#5
*&F4FMF+FMF'F-!$5#F0!$+\"*&F4F'F+FMF**$F+FAF5F:!#gFF\"$+\"F8\"$5#F@!\"
&FB\"#SFD!$0\"F>\"#?F<FH!\"\"FM" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(
xprimeBG,&%\"xG\"\"\"**F&F',@\"#CF'%\"yG\"#g*&%\"lGF'F+F'!#C*&F.F'F+\"
\"#!#g*$F+F1\"#q*$F+\"\"$\"#]*$F+\"\"%F**&F.F1F+F1\"#7*&F.F'F+F9!#]*&F
.F'F+F6!#q*&F.F9F+F9F'*&F.F6F+F9!#5*&F.F1F+F9\"#N*&F.F6F+F6!\"%*&F.F1F
+F6\"#IF'F+F',L!$?\"F'F+!$g$F-\"$?\"F0\"$g$*$F+\"\"&FJ*&F.F1F+FO!$D#*&
F.F6F+FO\"#&)*&F.F9F+FO!#:*&F.FOF+FOF'F3!$5&F5!$]%*&F.F'F+FO\"$u#F8!$u
#F:F2F<\"$]%F>\"$5&F@!\"&FAF,FC!$b#FE\"#?FG!$!=!\"\"FO" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"wG\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%
\"AG6$\"\"!\"\"',$*(,.\"$g$\"\"\"%\"yG\"$+**$F.\"\"#\"%?5*$F.\"\"$\"$v
'*$F.\"\"%\"$u#*$F.\"\"&\"#gF-%\"xG!\"'F.!\"(#F-F," }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"',$*(,0\"$g$\"\"\"%\"yG\"%g7*$F.\"
\"#\"%+@*$F.\"\"$\"%0A*$F.\"\"%\"%C;*$F.\"\"&\"$#))*$F.F(F,F-%\"xG!\"(
F.F>#F-F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"!*&)%\"
xGF'\"\"\"%\"yG!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG
\"\"!*&)%\"xG,&F'\"\"\"!\"\"F-F-%\"yGF." }}{PARA 12 "" 1 "" {XPPMATH 
20 "6#>-%\"AG6$%\"lG\"\"',$*()%\"xG,&F'\"\"\"!\"'F.F.,X%\"yG\"%+=*&F'F
.F1F.!$?(*&F'F.F1\"\"#!%+=\"$?(F.*$F1\"\"&\"$?\"*&F'F6F1F:\"$v'*&F'\"
\"$F1F:!$S$*&F'\"\"%F1F:\"#v*&F'F:F1F:F/*$F1F6\"%S?*$F1F?\"%]8*&F'F.F1
F:!$[&*$F1FB\"$[&*&F'F6F1F6\"$g$*&F'F.F1FB!%]8*&F'F.F1F?!%S?*&F'FBF1FB
\"#I*&F'F?F1FB!$+$*&F'F6F1FB\"%?5*&F'F?F1F?!$?\"*&F'F6F1F?\"$+**&F'F.F
1F(FZ*&F'F(F1F(F.*&F'F:F1F(!#:*&F'FBF1F(\"#&)*&F'F?F1F(!$D#*&F'F6F1F(
\"$u#F.F1!\"(#F.F8" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"
\"',$*()%\"xG,&F'\"\"\"!\"(F.F.,Z%\"yG\"%?D*&F'F.F1F.!$?(*&F'F.F1\"\"#
!%?D\"$?(F.*$F1\"\"&\"%k<*&F'F6F1F:\"%0A*&F'\"\"$F1F:!$+(*&F'\"\"%F1F:
\"$0\"*&F'F:F1F:!\"'*$F1F6\"%+U*$F1F(F8*$F1F?\"%5W*&F'F.F1F:!%[K*$F1FB
\"%[K*&F'F6F1F6\"$g$*&F'F.F1FB!%5W*&F'F.F1F?!%+U*&F'FBF1FB\"#I*&F'F?F1
FB!$?%*&F'F6F1FB\"%+@*&F'F?F1F?!$?\"*&F'F6F1F?\"%g7*&F'F.F1F(!%k<*&F'F
(F1F(F.*&F'F:F1F(!#@*&F'FBF1F(\"$v\"*&F'F?F1F(!$N(*&F'F6F1F(\"%C;F.F1F
/#F.F8" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(xprimeAG,&%\"xG\"\"\"**F&
F',J!$?\"F'%\"yG!$S#*&%\"lGF'F+F'\"$?\"*&F.F'F+\"\"#\"$S#*&F.F1F+\"\"&
!#]*&F.\"\"$F+F4\"#N*&F.\"\"%F+F4!#5*&F.F4F+F4F'*$F+F1!$5#*$F+F7!$+\"*
&F.F'F+F4\"#C*$F+F:!#C*&F.F1F+F1!#g*&F.F'F+F:\"$+\"*&F.F'F+F7\"$5#*&F.
F:F+F:!\"&*&F.F7F+F:\"#S*&F.F1F+F:!$0\"*&F.F7F+F7\"#?*&F.F1F+F7F*F'F+F
',XF+\"%+=F-!$?(F0!%+=\"$?(F'*$F+F4F/F3\"$v'F6!$S$F9\"#vF<!\"'F=\"%S?F
?\"%]8FA!$[&FC\"$[&FE\"$g$FG!%]8FI!%S?FK\"#IFM!$+$FO\"%?5FQF*FS\"$+**&
F.F'F+\"\"'F**&F.FdoF+FdoF'*&F.F4F+Fdo!#:*&F.F:F+Fdo\"#&)*&F.F7F+Fdo!$
D#*&F.F1F+Fdo\"$u#!\"\"Fdo" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%(xprim
eBG,&%\"xG\"\"\"**F&F',L!$?\"F'%\"yG!$g$*&%\"lGF'F+F'\"$?\"*&F.F'F+\"
\"#\"$g$*$F+\"\"&F**&F.F1F+F4!$D#*&F.\"\"$F+F4\"#&)*&F.\"\"%F+F4!#:*&F
.F4F+F4F'*$F+F1!$5&*$F+F8!$]%*&F.F'F+F4\"$u#*$F+F;!$u#*&F.F1F+F1!#g*&F
.F'F+F;\"$]%*&F.F'F+F8\"$5&*&F.F;F+F;!\"&*&F.F8F+F;\"#g*&F.F1F+F;!$b#*
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