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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 231 "xgcd:=proc(a,b) loc
al q,r0,r1,r2,x0,x1,x2,y0,y1,y2; r0:=a; r1:=b; x0:=1; y0:=0; x1:=0; y1
:=1; while r1<>0 do q:=floor(r0/r1); r2:=r0-q*r1; x2:=x0-q*x1; y2:=y0-
q*y1; r0:=r1; r1:=r2; x0:=x1; x1:=x2; y0:=y1; y1:=y2; od; r0,x0,y0; en
d;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%xgcdGR6$%\"aG%\"bG6,%\"qG%#r0
G%#r1G%#r2G%#x0G%#x1G%#x2G%#y0G%#y1G%#y2G6\"F4C*>8%9$>8&9%>8(\"\"\">8+
\"\"!>8)FA>8,F>?(F4F>F>F40F:FAC,>8$-%&floorG6#*&F7\"\"\"F:!\"\">8',&F7
F>*&FJF>F:F>!\"\">8*,&F=F>*&FJFOFCF>FU>8-,&F@F>*&FJFOFEF>FU>F7F:>F:FR>
F=FC>FCFW>F@FE>FEFen6%F7F=F@F4F4F4" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "debug(xgcd);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%xgc
dG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "xgcd(13,21);" }}
{PARA 9 "" 1 "" {TEXT -1 30 "\{--> enter xgcd, args = 13, 21" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%#r1G\"#@" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#x1G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"\"\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#r2G\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G\"
\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G\"\"!" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#r0G\"#@" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G
\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"!" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#x1G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0
G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"\"!" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
#r2G\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G!\"\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#y2G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#r0G\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"\")" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%#x1G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"!" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"&" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G\"\"#" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#y2G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"
\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"\"&" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#x0G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G
\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"\"" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%#y1G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"$" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#x2G!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%#y2G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"\"&" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#r1G\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#x0G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G!\"$" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#y0G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#y1G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG\"\"\"" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#x2G\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G!\"$" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#r1G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G!\"$" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#x1G\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#y0G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G!\"$" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%#r2G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G!\")" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G\"\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#r0G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"
\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"&" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#x1G!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G!
\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"\"&" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"qG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G
\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G\"#@" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#y2G!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"
\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"\"!" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#x0G!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G
\"#@" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"&" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#y1G!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"\"!
\")\"\"&" }}{PARA 9 "" 1 "" {TEXT -1 44 "<-- exit xgcd (now at top lev
el) = 1, -8, 5\}" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"\"!\")\"\"&" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "xgcd(3*8,3*5);" }}{PARA 9 
"" 1 "" {TEXT -1 30 "\{--> enter xgcd, args = 24, 15" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%#r0G\"#C" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G
\"#:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%#y0G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1
G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"\"\"" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
#r2G\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G\"\"\"" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#y2G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#r0G\"#:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"\"*" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#x0G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#x1G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"\"" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#y1G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"'" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G!\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#y2G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"
\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G\"\"'" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1
G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y0G!\"\"" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%#y1G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"qG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"$" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#x2G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#y2G!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"\"'" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#r1G\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#x0G!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G\"\"#" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#y0G\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#y1G!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG\"\"#" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#r2G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#x2G!\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G\"\")" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#r0G\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#r1G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"#" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G!\"&" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#y0G!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G\"
\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"$\"\"#!\"$" }}{PARA 9 "" 1 
"" {TEXT -1 44 "<-- exit xgcd (now at top level) = 3, 2, -3\}" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"$\"\"#!\"$" }}}}{MARK "4" 0 }
{VIEWOPTS 1 1 0 1 1 1803 }