Download High Performance Beowulf Cluster Environment User Manual
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High Performance Beowulf Cluster Environment User Manual Introduction !"#%$'&($) +*(,-/.)0%1&(-2-435),637,0 80%%9:&(,!<;)=)>;@? .<9 %$'&A-(, .B&A ,$ &C, &D EF0G1&(-IHJ" ,$ KL,)350 *MEN0%1&(-POQ$'=G-(,$ R4$S&UTWV & )X Y0;ZG$8,)3[&C,\<2]&D_^a`/VQ;$cb<;)&(.<d$'=%-(,$ R4$S&e)f),3g&(,d b R & he,bN&(,i&A)a?G$)61j1&(RM;$)#),3k&(,a.<) .<9lj),-Bhe,baY -(, -(m')T )nY).) *e .6.',Rab%$<;)&e ,$,<*J<;-(3o;-(@;m$)n2,)*I&p37;-(qG$1&C;m0"0 qRi;jr *I*(Y)$)G$)s,$t&A)uY .) *e .;&A ,$6,<*Q&A)s.)0G1&(-DT#Ri;$ <;Z0mRi;j@-()*C-L&(, );-()37;-(vfw0%%b -C;-e mx,-y.',RY%0 -z35 .< ;-( $),)&{-(0 )=<;$'&|&(, j), $'=G-(,$ R4$S&UT The physical } hardware layout of a Cluster KL ,)3~0 *EF0G1&(-.',$<"1&,<*m;+0 ,ZmG$ f.',RaY%0 +;$hA,bi bR"' ,$6$, f .;Z0%0 |&A)Ri;Z1&(-+$, f;m$),$),-+R4,-(W.',RY '&($), m)f~$),-ARi;Z0%0 j -()*C-A-( a&(,>;Z 0;)=)>$), m)TV & Y),m'%b0 +&A<;)&L;s2 .',} $)>I*C;m%0 ,<=)-(/Ri;Z1&(8;)=<;m"0;b0 G$c.;Z2\&A)WRi;mG$Ri;Z1&(- $), *;Z%0")T 0"2,f;_2.',$)k*C;Z1& $<&p37,-A9rR '&ob);)=<;Z%0;mb0 *(,-*C;Z1&F.',RaRa $ .;)&e ,$cb<&p37 $r&A)k0 ;)=) $, Z5e2i*A -(T )cRi;Z1&(-7$), \"82 q&(,k.',RaY%0 k2,<*&p3o;-(fQ&(,c bR &;Y);-C;m0"0 0,b);)&(.<@Y-(,Z-C;mR[&(,>;ihe,b#?)G$<r1j1&CR;$s&(,!;$<;Z0 j2qY -(, ).' sZ;)&C;T )-(<*(,-(vf &Q),0 s-C;m-(0 jb)$) .'Z'S;-j*(,-v;n<2-Z&C,s0 ,ZZG$i&(,6,$,)*&D 0 ;)=)>$), Za;m$)>G$) ,$#2,R4>.)0G<1&C-a$), r0 , mG$<tRi;j>b)#m"S;b0 ;Z0 &(,Z)&D-DT )i 1Cc) x) )) Z 'aa¡ ¢ )(¤£~¢ DgZ<¤<A) A (¡<¥8¦§©¨ª<«A¬mª §m))£A®¯°)m¢G<¥ns°) )¢ ±A¢ )e¢ ²vA)]³DA)) i´¡<2qµZ 1³AA)<D²£~¢ <6#2r¢%'±(Ai)e¢ #)¶ni)·¢%a¡ gCC )±¸2¹ ¹>º»¢ i°)L2 ')#½¼5¢¥ »¢ ¶³A)A<£5¢ <s)Z4si)·¢G¡ C)( )±¸2¹¹ ¹vº»¢ 5°)2 'v® ¾ 4<e¢G4Zw¢ e¢ <mi)<p£7Aw¢"_ yCyD¿)G¡1(t±(±CZ1( 'aa¡ ¢ )e¢ ¿»)<p£7)À) m)®5¢k± 1Cr<p£7A¢"iZ¢G ´ ¡<2 u±(F° ( ¥C A<J]¡2da¡ e¢G° ki<¢Gmn¢GuÁ (d2 )8 °)e¢ <¡ L'a° ¡'CA¢ <m° (» q) >(s<·)<)<¥u C¥@4¡' )±J¢%'±(Ai)e¢ Z®LÂ4)@´ °)8<±\± 1Cl))£A>´)J¢nÃÄ'«eÅ%¬ª §Æ²Z£~¢ <nm 2)+¢GS±CAi)e¢ i+i·¢Ga¡ ¿C)(a)± ǹ¹ ¹º»¢ e5°)v2')® ÈF<A)a°m'¢G» ¿)G¡<1C6¢G'(Á' )Bt)<p£7Aw¢"_ÉʬmË©ÅG¬Å%Ì Í ¬ZÎ'Ï£5¢ <¢ <m¢% » \¢Gq¢ ±±(('o°) Z²Ðv®Æ¥®/Ñ®Ò]¥m¢ ¥ »¢ D²¶Çc·Ñ®Òd¥m¢¥»¢ U®L)m2 ´ °))±±CZ1o))p£7A2n(]m £o)´s'a° 4Sm´uC8Ó )£o³DA)) »)Z2 #<p£7A® Ô G¡1(Ó) m¤i´Õ»)Ö°) )¢ ±A¢ ×£¢ AgØ)ÑÙ»¢ ÚÊ'(#uÈNºa¯ ÔÛÜ )® Èl (A<)e¢ ) ´Z²>Ý<ǽ»¢ ÈNºa¯ Â4°'(Á ÔÛÜ Þi´z»)x° )¢ ±e¢ v²#A¢"Õ¢" ()±CA( C{Z|A)¿ß ·<àÝ áeÝ<Çß7(<¢ ( BA¡ (v®¢(<¢ ( BA¡ ({Z% £c±( (Z'¢G<¥t C¥#44´ ¢ â'm)® Accessing the cluster )qiZ1(l) ]¢">¡¡)m% ´u¥m¢ )r<m4u)Ú Û (m'»'´sA)8 Z <p£7Aa¢G¢1AC)(D®Jµ(¡Se¢ uD8)G¡<1CD²Q¢ ¢r¡<¡<m" ´')£5u»'´ A¢<m4 ´Z®µ([¢G¢ 6A)s)G¡1(DriZ1(Lam"2@»s( <) »S´A)m%¢ Z4ãä½åZæçmèQ®)n)@) m4t ´s»)@( <) ±A( ¢G¢ A))%¡1(+éIA<)t¢)²»S´ Z¥¥m¢G)¥¿¢G\CwA) iZ1(±e¢G1(ês»'´A)<4m ëLìví çîïL² ëLìví çî½ð½²S<(® Â4q24kim"L)G¡1(C)²L£5(A)ciZ1(N) ¢"um"2m!<·)<¡'e¢ m1±(A)#ñ¡)¡¢G<¥s1´1(6²)Dui 1C<ZoA)@Z%¢ ëLìví çîïL® ¾ A) Ók)G¡1(l£~¢ Ddѹ|))w) m)²A)W<4Zu<±A)\) Zn£7¡ W» ëLìví çî½ðs¡ °( ëLìví çvðïL® Ú ±´)¡o£~¢(6''m'NA)#iZ1() i±A(_A)+ m))£Ao¢ v¢"5¢¥m ´ ('a4 iA< ´)¡a¡<2åvåònée2 <¡ (t% ê®S)a'i)t1AA¡)BA¡ ( ±('¢<ó ômô)õ ö1÷møÀø ù úû<üývü½þ)ÿ|õvùvôüLþÿ ¶ô ZõvùvôüLþÿ ö ù<ÿÿ¶þ<ü Ú ±´)¡i(#¡<2mß ì ò ë m)iA)#<m4a<± A#iZ1() +¢" åZæçm è ì è 1A)Aa'ai)#åvåò ì ò ë! åZæçmè ì è6£~¢"%' Z¥ ´)¡¢G'(iA)a)%¡1(D® Â4)'q´)¡](c Z¥ ¥ dSCqA)|iZ1(N) v²¶´)¡drA)] Z¥c¢%'(Ó )·) <¡'('aim)mtA)u ))!) 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Ö"&@N[F'+.O2 O'[G 'I'&(KJ[2 N+1'2Ih,2LIJ ×+1 /Ë GHË&JóË',Ï-',4572 1'W+J4 2^!Ð ',+× 1G KFIF GCË ',28&@áJô!N"!FIF8:GCJ ',2ÏJ 9I'W2' ×:2' Wh',+1 J 2h',2[G F 4â®)L-'4hGC2hG ' '&(Ì9 /0/1,+,2,2 :+1',2Ih,2L×:2ÏQÍ&(G +ËNF -',4 õö ÷Iøù ú ú1ûKúQüý[þ,öýö ùNÿÌõ8õ?úOýø û ý :ù úËùû,ÿ õèúJü ùõùõ ûõõCù:÷ý ú1ûIû üû7ýýû,ÿ ÏúJüýËùBõ?ú "!HúQü1ý#$%ÏùC÷ý÷ ýKú1ûÍõ(ýIýKúJü ùõ ý&ÿ ù 1ûÿIøhý,ÿLú' Adding your own modules (Advanced users) !ú"ù õ ûõõCù:÷ýKú1û$$Wÿý`øû($,ö ýõú1ûKúQüýWøhû($,ö)ý[ý,ÿ& ù1û,ÿIøhýÿú*,+-.ú1ý ù:ÿ8õ?úùNÿ ÿ ( ):ù.úJù û,ÿùNÿ0/1Oû×ù:ÿ8õ?úÿý2435#678-9(:;:=<;>;?;9@>ABCÿD$ 1( ý úËùNÿ iÿý`øhû($öý $ù1ý(Hú1û1ù:ÿ35#6786=A;EF=<G4H%û,ö%ÿ[øhû$ù 1ÏúQüý IJKLM;N;OPQ;R ú1ûiùNDÿ N ö $ ýKúQüýWÿý õ((ý S ü úQ(ü #!.(ûö[ö8õ(ýKúJüýW÷ Iõüòõüý T úJü ùU õ û,ø[ ø ÿ $7û,ö $W÷ý V G#W;:4AX@ IJKLM;N;OPQ;RY4Z)IJKLM;N;OPQ;R%[ 35#6786=A;EF=<G4H ûWø]<ýKúQüý üÿ ý^ ýJøÿý,ÿLú') ý#^õ(ý$$KúQü8ùõUû,ø[øÿ$Kú1ûû,ö( û _ ?H)bXc?fJTù ;ý \ üý û,ÿLúOýÿúBõû iøhû $,ö g ý ûIû] _a` 9H)bXc?ed _ @?H)bXc?ï ù ]<ýKúJü ù õV \ hjiakmlanpomqjras&tvuphahwhahwhahwhahwhahahwhahwhahwhahwhahwhahwhahwhahwhahwhahwhahwhahwhahahwhah hwh hwhyx{z{|a}~mpwwoxlwnjo{qwra a|aqjr hwh zw{la}klwnjo{qwrrqz % zwo{jwnarpag'amnanx{wm|{rwUx{oarwl{ljowrjwm|{lpjxmrj xmlanpomqjr'{~{wa| nwn{x{wm|{rwUx{oarwl{lpoarpam|{lpjxmrj pra lalw oma{qjl}waqpaqpomjwrj{zazpxo{wrjst1Dt prawrjw pkaa pk{¡ ¢{lwla prawrjw xa~{lxr ¢{lwla zazrjnzmjj~ £{¤w ¢{lwlajw¥{|pa zazrjnzmjj~ kw{¦a£p¤a ¢{lwlajpxp zazrjnzmjj~ §p¨w{§m©ª«m«p¬w{£p¤a ¢{lwlaj{qw|p¥a \ ( ù û,öhû,ÿ [üýKú1ûËùLùNÿÏúJüý^1ûIûú úJü0/5FHX54<A?;9;<5®<(FH#@GXc¯ P :;:H(5#6F4@G¯° _{±y_,² 2ÿD$KúJüý $IýõËù úËùûÿÏúOûWø]<ýiÿý³ÿ$Jö JöIÿDH úJù û,ÿ#C øhû(, $ ö)ý;# û×øhû1ýiùNÿ,1ûJøúËùûÿ# )ý#Iõ(ý´û#)$KúQüýµøhû($öý^õ&¶ øhû,$ ö ý´Q/ øhû(,$ ö) ý´ û(W $ øhû( $ ö ýõ2 ÿD$^1 ý#K $ úJüýWøhû, $ ö ý ÿW $ øhû, $ ö ýË ù ý ø ÿ (8ýõ \ üýi÷ýõ?ú û ù.· ùõú1ûWø<] ý ÿ)$( $ ù úËù û,ÿ¸ $ ù1 ý(H ú1û1 ö ÿI$ ýJ ÿý# úJüÏúJüýWøhû,$ ö ýõU$ ù1 ýH úOû1y1 û ý#) ü ( ): ù. úJù û,ÿ ÿDK $ úOû^ )¹ ý ûö( \ ÿý` øhû( $ ö ýiù:ÿÏúJüý1 ý; üý,ÿ ûö% ÿ% ü ÿ ýKúJüýWÿ øhý[û úQüýWøhû(, $ ö) ýË ù ý õöD üÏúQü ú"ù ú1 ý ý(H úBõúQüý ýB õCùûÿ[ÿIöIø[÷ý û úQüý ( ù. úËù û,ÿ##I û" ùNÿ8õ?ú ÿ ý úJü ùõ@ùõúQüýWÿ øhý[ûI úJüý´ û( úËùûÿhûI úJüý6F4@G øhû(,$ ö ýV 5FHX54<A?;9;<5®<(FH#@GXc¯®AB=º;>#»5 I A;EF=<Gº;>;<G4H(5#6F4@G5° _{±y_,² ¼ û ÷,[ ùõõö ùNÿhúJüý û,ø[ø ÿD$µ øhû( $ ö ý´ û#W $ ø[öLúOý#¶ û,ö½Ï ù öú1û,ø úËù.# 0 û#$ úJüýWÿý` øhû( $ ö ý \ üý)$ ÿú(8ýiùõúJü ú"ù û,ö[üD ý $ ù 11 ý1 ý,ÿLú( ýB õCù û,ÿhû úJüýÍõ, øhý ( ): ù. úJù û,ÿ#( úJü ùõU û,ø[ø ÿ$%@ ùT ½8 õy û# $ õúJüýWøhû^õ?ú1 ý( ýÿú ýB õCùû,ÿhûI úJü ú : ù úËùû,ÿ( Running your application on the cluster ¾ ¿ ÀÂSÃÄÂÆÅSÀÈÇ)ÉÄËÊ¿ÃÈÂÌÇ(¿CÍÀÇ(ÂÎÊÏÏÐÑ ÒÊÅÑ.À¿ÓÀ¿CÅÌÔÄÕÒÐÇ)ÉÅSÄÂÌÖ×SÀÇ(ÂØÉÅSÄÏÉÁÊÂSÄ Á ¿DÄ(Ò&ÄÉ&É,ÊÂ1ÍÙ • • • • ÉÄÐ Ä(Ò·ÅÑ¿Ú%ÍÀÇ(ÂÏÊÂÊ#ÐÐ.ÄзĿ&ÛÑÂSÀ¿(Ü%Ä¿&Å'Ý Ò&ÀÜ Ï)ÑÐÑ¿Ú%ÍÀÇÂÊÏ(ÏÐTÑ.ÒÊÅÑ.À¿Ý ÒÂSÄ#ÊDÅÌÑ¿Ú Ê¿%ÄÞÄ(ÒÇ&ÅÑ.À¿ß*ÉÒÔÄÜ%Ê%×ÀÂ(ÅÌÔÄ àÇÄÇ)Ñ¿ÚÉÍ)ÉÅSÄÜgÝÊ¿Ã ÉDÇ(áÜ0Ñ Å1ÅÌÑ¿Ú%ÍÀÇÂÊÏ(ÏÐTÑ.ÒÊÅÑ.À¿ÅSÀÅ*ÔDÄ àÇÄÇÑ¿ÚÉÍ)ÉÅSÄÜâ Step 1:¾ Selecting your parallel environment × ÍÀÇäãUÊ¿&Å=ÂÌÇ(¿^ÏÊÂÊ#ÐÐ.ÄÐ&Ò&ÀÃ(Ä;ÖÍÀÇäãÑÐÐ)ÔÊÛÄÅSÀåÒÔÀ(ÀÉÄæÊgÉDÏÄÒÑ ×Ñ.Ò´ÏÊÂÊ#ÐÐ.ľ Ð ÉÄÅ*ÇÏ#âèç-ÔÄéÒÔÀÑ.Ò&ÄÉêÊÂSÄëáÄÅìãUÄ(Ä¿íÅ*ÔDÄéÃÑ ×v×SÄÂSÄ¿&ŽÅ1Í(ÏÄÉíÀ×ä¿ÄÅìãUÀÂÌîÖyï ð ÐTÑá(ÂÊÂÑ.ÄɽʿDà Ò&ÀÜ ÏÑTÐ.ÄÂÉâ ¾ ¾òñó ¾øñ ç-ÔÄÂSÄåÜÊDÍæáDÄ^ÃÑ ×v×SÄÂSÄ¿&ÅÅvÍ(ÏDÄÉÀ×-ï ð ¾òÐñ Ñáó ÂÊÂÑ.Ä#ÉÀ¿%ÅÌÔÄ^ÒÐÇ)ÉÅSÄÂ*Ùæï ð ×Àó  ô ÅÌÔDÄ ¾ ÂÌ¿ÄÅcáÊ#ÉÄÃæÒ&ÀÜ Ü Ç¿Ñ.ÒÊDÅÌÑ À¿#ÖCï ð ßÌõïë×SÀÂï½Í(ÂÑ¿ÄÅcÊ¿ÃÁï ð;ö÷ð ×SÀ ¿&×Ñ¿)ÑáÊ¿Ã;â ç-ÔÄÂSÄ´Ê#ÐTÉÀCÜÊÍ^áÄæÊgÒÔÀÑ.Ò&Ä^À×Ò&ÀÜ0ÏÑÐ ÄÂÉÙÅÌÔÄ^ÀÏDÄ¿ ¾ ÉÀÇ(ÂSÒ&ÄåõùûúüÚÒ&Ò)Ö)À ÅÌÔÄ^Ô)ѹÚÔDÄÂÏÄÂ1×SÀÂÌÜÊ¿Ò&Ä Ò&ÀÜ Ï)ÑÐ.ÄÂÉ×ÌÂSÀÜýð4ÀÂ1Åйʿà À ¿,ÅÄÐøâ ¾ ¾ ¿ÀÂSÃÄÂ;ÅSÀ^ÉÄÐ.Ä(Ò·Å4áDÄÅìãUÄ(Ä¿%ÅÌÔÄCÃÑ ×1×SÄÂSÄ¿&ÅÒ&ÀÜ ÏÑÐ ÄÂÉÊ¿Ãåï ð ÐÑá(ÂÊÂÑ ÄÉÖDÍÀÇ ÉDÔDÀÇÐ ÃåÇ)ÉÄäÅ*ÔDÄþ= ÿ ´Ä¿,ÛÑÂSÀ¿Ü%Ä¿&Å* â Ç(ÂÑ¿ÚgÊCÉÑ¿ÚÐ.Ä^Ð.À(ÚÑ¿ÉÄÉ&ÉÑ.À¿#Ö#ÇÉÄ ÅÌÔÄåÒ&ÀÜ ÜÊ¿Ã#ß'ÐTÑ¿ÄCÅSÀ(ÀÐþ= ÿ âCç-ÔÑTÉgÜÊî¸ÄÉ^Ñ Å=Ä#Ê#ÉÍ^ÅSÀ É ãyÑ ÅÒÔ áÄÅ1ãÄ(Ä¿ ÛÄÂÉÑ.À¿É À×ÉÀó ×vÅìãUÊÂSÄ;Ö-Ê¿Ã ãÑÐÐ=ÉÄÅÎÛÊÂѹÊáÐ.ÄÉCÉDÇÒÔ Ê#É ÅÌÔ Ä üÅSÀ Å*ÔDÄ ÄÞÄ(ÒÇ&ÅÊá)Ð.ÄÉâ ÀãÄÛÄÂ*ÖÉDÇDÒÔgÒÔÊ¿Ú)ÄÉãÑÐÐÀ¿Ð ÍåáÄÁÑ¿^Ä×v×SÄ(Ò·Å×SÀÂÅÌÔÑTÉgÐ.À#Ú#Ñ¿ ÉÄ#É&ÉÑ.À¿(ÖÊ¿DÃgÉDÇ(á)ÉÄàÇÄ¿,Å;ÉÄÉ&ÉÑ À¿)ÉûãÑÐпDÀÅÇÉÄÅÌÔÄÉÄgÉÄÅ1ÅÑ¿Ú#Éâ ¾ çcÀ ÉÄÐ.Ä(Ò·ÅUÊíÒ&ÀÜ0áÑ¿ÊDÅÌÑ À¿ËÀ×½Ò&ÀÜ ÏÑTÐ.ÄÂûÊ¿Ãéï ð ÐÑá(ÂÊÂ1Í À¿ÈÊ ÏÄÂÌÜÊ¿Ä¿&Å áÊ#ÉÑTÉÓÍÀÇéÜ ÇÉÅ%Ä(ÃÑ ÅÍÀÇ(  ê×ÑÐ. Ä Ê(É&ÉDÇ(Ü0Ñ¿Ú ÍÀÇ Ç)ÉÄêÅÌÔÄ áÊ#ÉDÔ ÉDÔDÄÐÐ pÖ)Ñ¿)ÉÄÂ1ÅÑ¿Ú ÊgÐÑ¿DÄgÉDÇÒÔÊ#ÉÙ þ=ÿ! þ"#$%&')('*#$+-, ç-ÔÄÕ¿ÊÜ0Ñ¿Ú ÉÒÔÄÜ%ÄÁ×ÀÂ"ÅÌÔѹÉ^Ò&ÀÜ áÑ¿ÊÅÑ.À¿ Òʾ ¿ áÄÓÄÞ(ÏйÊ#Ñ¿Äà Ê#É×SÀÐÐ ÀãÉâ ç-ÔÄå¾ ×ÑÂÉÅûÏÊÂ1ÅÎÀ× ÅÌÔÄÈ¿ÊÜ%Ä ÑTÉ Å*ÔDÄÕÅvÍ(ÏDÄ À×Øï ð ÐTÑá(ÂÊÂ1¾ ÍÙÅ*Ô)ÑTÉ Ñ¹Éäþ"#$ ×SÀ ï ð ÀÛij¿ÀÂÌÜÊ#ÐÕ¾ ÄÅÌÔÄÂÌ¿Dľ Å*Ö þ"#$*.þ ×SÀ ï ð ÀÛÄ ï½Í(ÂÑ¿ÄÅéÊ¿Ã / ¾ þ 0$"#$-1×SÀ ï ð ÀÛÄ ¿&×Ñ¿ÑáÊ¿DÃ;â%ç-ÔÑTÉ ÑTÉ ×SÀÐÐ ÀãUÄ(à á&ÍëÅÌÔÄeÛÄÂÉÑ À¿ ¿Ç(Ü áÄÂ÷À×ûÅÌÔÄ ï ð ÐTÑá(ÂÊÂ1Í#â"ç-ÔÄ Ð¹Ê#ÉÅ%ÏÊÂ1ÅÀ×ØÅ*ÔDÄ ¿ÊÜ%ijÑTÉ ÅÌÔÄêÒ&ÀÜ ÏÑTÐ.Ä ÇÉÄ(Ã%ãÔDÄ¿ÅÌÔÄ^Ü ÏÑ Ò&ÒyÒ&ÀÜ ÜʿôѹÉÂÌÇ(¿#â Step 2: Compiling your code: çÍ(ÏÑ ÒÊÐÐ Í#ÖÅÌÔÄÂSÄgÊÂSÄÉÄÛľÂÊÐ,Ò&ÀÜ0ÏÑÐ ÄÂÉÊÛÊÑTйÊáÐ ÄgÀ¿ÅÌÔÄæÜÊ#ÉÅSÄ¿ÀÃ(Ä;â2À ѿ)ÉÅÊ¿Ò&ÄüÅÌÔÄ õùûúûÖèÅÌÔÄ ¿,ÅÄÐÊ¿Ãéð4ÀÂ1Åйʿà õ%ÂSÀÇ(ÏüÒ&ÀÜ Ï)ÑÐ.ÄÂÉâ"ç"ÔDÄ ¿ÄÞ&Å 3546798;:=<?>@>A4BDCE:F8:G3IH=8 JO7[<:\3]8B_^ JLK>@>A4MON:QPRH?C9JSHT>A4OUV6O8W4OXS4CE7Y46?7 8VKMZUOK<$B `?abcdace fhgjilk$mnpoqsrteu KB 3IB54M?$ KB 3IB54MO$ LJ J J D$ v mwuDxyrzab{ k$mnpoqsr|eu JLJ j D$ ]$ }~bxIerOk$mnpoqsrteu C9JLJ C9JLJ Y]JC ]KBs3?]KB?XS$ Y]JC ]KBs3?]KB?XS$ OH 8>K:\3JLK>@>KMJLK$N$8KL3DC>hCE:4=3DC9KMD794 ]KB-3HO8jZJLK>@C[798BwCE:$ )¡ 4MON¢5KB3HO8¤£-KBs3794MON¥JLK>@?CE798B¦§¨©- HO8B]8ªCY:¢M=K KB 3IB54MO$¥A« JLK>@?C[7 8BI KB>A4O¬?C>@<?>¢4??7[C J4O3DC9KM@:=O8$8$NC 3CY:B]8$JLK>@>8MON$8?Nh3]K®<S:F8h3HO8 £-KBs3D7Y4MON;KB|ML3]87¯JLK>@?CE798B°:O £±7 84:F8²B]8O58B«3]K³3HO8´B]8:=O8$Jµ3DC XO8²>A4MS¶O4 8:·]KB¸>KB]8ZCML]KB>A4=3C KM¹46OK<3 KL3DC>hCE:4=3DC9KM5KB±6OKO3IHºA«G4M=N·£-KBs3D7Y4MONs» ½¼@¾ 4MON£w¿ N$K?JS<$>8M3°4=3C KM ]KB;£-KBs3D7Y4M=N >A4=U 6O8 ]K<$M=N C[M 3HO8 ÀÁ)¨?ÂÀ-ÃÄŧÃÀÆÃ$Á)¨©ÇÂ?ÈÄŨ NCB]8$Jµ3]KBsUº OH 8hJLK>@>A4MON:B~8S]8BB]8$NA3]KÉCMÊ3HO83°46?798º4B]8Ë:=O8$JOC C JÌ]KB6O4O3]JSHÊ3ÍU$=8ÉD:CM 798 ?B]K$JL8:L:FKB]«4$?7EC9J4O3DC9KM:O KBjO4B547E79874$?7EC9J4O3DC9KM:pC 3CE:p$B]8S]8B546?798p3]K³<:F8 ¼ £w6S4:F8?NJLK>@C[798B°:O HO8ËJLKBB]8?Jµ3JLK>@?CE798B°:A4B]84<L3]K>A4=3C J47[7 U4=XS4C[7946?7 8 4=Í3]8BÎJSHOK$K:C[M 3HO8 O4B547E7987Ï8MLX?C[B]KM$>8ML3I HO8 ]K7E79KOPÊCM JLK>@?CE798B JLK>@>A4MON:Ê4B]8º4OXS4CE7Y46798^ ÐÑ=ÒÓ Û Ûââ ã¯äåæÍåtçè\é¯é ã¯äåæÍåtçèìë\í ÐÑ?ÔÖÕ×ØYÓÙÚ ÜÞÝ\ß àáà ÜÞÝ\ß ÛÛ ÜÞÝ\ß ê é¯é ÜÞÝ\ß ê ë\í OH 8:F8 ¼ £½îJLK>@?CE798B°:G4B]8´ï PRB54$=8B°:Lðj4B]K<?MON´3HO8TA««ñò£-KBs3D7Y4M=N4MON |ML3]87OJLK>@C[798B°:@4MONó8M:=<$B]8Ë3HS4O3±3HO8óJLKBB]8$Jµ3 ¼ £½CMOJO7[<ON$8p4MON7EC6$B54BsUºDC[7 8: 4B]8l7[C[M$ô¯8$NõC[ML3]Kó3HO8õ4$?7EC9J4O3DC KM_¿±U$MS4>hC J ¼ £w7[C[6$B54BDC 8:4B]8MOKO34OXS4CE7Y46798 KM3HO8¹JO7<:\3]8B]ö½÷½CM=JL8³3HO8OU4B]8PòB54?O8B°:Oñ3IH=8Q:4>8KL3DC>hCY:4O3DC9KMD794 : J4M@6O8<:F8?Nº4:«PRC 3HÊ3HO8Ë:\354M=N4B]NºA«lKB£-KBs3D7Y4M=N@JLK>@?CE798B°:O $U ?C J47[7 Uñ®4??7[C J4O3DC9KMS:ø<:F8ù4 ¼ 4ô¯8SDC[798¤3HS4=3úHS4:¢35Kù6O8!4?N4L3]8$Nª5KB JLK>@?C[794O3DC9KM$-£±798$4:F8lB]8O58B3]K®3HO8·4??7[C J4O3DC9KMSð[:ºN$K$JS<?>8ML354O3DC9KMpCMKB]N$8B3]K 4N43Þ3HO8 ¼ 4ô¯8SDC[7 8³]KBÖ4Gû-8$KOPR<?7 «JO7[<:\3]8BI B]8$ü<=8ML3D7 UñÞC 3îCE::=<LsC JOC98M3j3]K JSH=K$K:F8º4 ¼ 4ô¯8OCE798:=O8$JOC C J47[7 Uò]KB4 ¾ C[M$<L¬ ¼ £w=8MX?CB]KM?>8ML34MONh3]K@4N43 3HO8ýÆ4MONQýý²S4B54>8S3]8B°:õCM·3HO8 ¼ 4ô¯8SDC[798 H=8:F8²S4B54>8S3]8B°:·:=HOK<?7 N =KCM33]K´þ ÿ ÅÅV4MONþ ÿ ¦;5KBAþ ÿ ¦ CMZ3HO8J4:F8¢KS ?¢JLK?N$8$ B]8:=O8$Jµ3DC XO87 U Step 3: Executing the program HO8B]84B]8h3 PÌK>8S3HOK$N:¸]KB8S¬O8$JS<L3DC[M 4S4B547[7 87KB6S4O3]JSH?B]K B54>Ë^<S:CM 3HO8 ü<O8<?CM :\U:\3]8> KBwNCB]8?Jµ37 U®B]K>ª3HO8JLK>h>A4MONú7ECMO8w|M 8MO8B547C 3CY: ?B]8S]8BB]8$N 3]K <:F8 3IH=8ùü<O8<CM :\U:\358>ºñõS4Bs3DC9JS<?794BD7 UùCM!4 $B]K$N<OJµ3DC9KM 8MLX?CB]KM$>8M3ÊPÊC 3H>@<7 3DC?7 8;<:F8B°:O MZ:FK>8V:\U:\3]8>:OñRB<?M$M?CM O4B547E7987 !#"$&%$(')*,+-,./)+&0)1203 4657$89;:) #<= >? %A@;BC,?;>7D")E -3FA@$D '&21'$ @GG H+I+)J/)+&0)K03ALM-NO#"$ @GP/')Q3R(')S')T D 'UGVA /D")P%)-(';S,+-,S4 W ';XY) 3R3A3= L@'ZU,[ F3 +M0)\ D '&,# 2"]># ^D")_3A):) '$ )4a`b"R&@'M0)c-@;"A):) d0G+*3A(';e('M')_)>?D")f32$:)f'$ ;(';hgaijkal m. 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