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@5iZf35 j[w)7V~Lr\LDh۔YEaifVlle3P 5d>(;}$ʌw)|?qj 5e"(}$ʎ _6֐m?渽o֘Fa%h @.xg͉]n| 5Nl'(f7WYt7a;g 5d*{yXV/{n-@5heTd	[RgVyl b`~rtmN.s<k"Jǅ.;rtmMs|I(n;rs_mVUfV 5iZf35 j[w)7V~Lr\LDh۔[}+K6Jc`-5eI
	 .p+`P^P ' 5	 pХHRJǹYw^Ȁ4YMrdX ֿċp#Y1J'	rp&S 5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5iW3JeJX	0g@.re+%%Q[aV؀ڠ{H+S%Hvk]] nMX 0,Rp 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%   !"'(),-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--rrxR?Z/9cgg!@[^^<`c Xf&`  XT@XT 3Xa;Sg XS9g P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\XJH   Xa`  X_[`  X4V$X_c`  X_OT`  X_N`  X4^T$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<    	*    g2p0         percentLoaded 
  Y`@ ?U             HowMuchLoaded =  dLoadedBytes   dTotalBytes H           PBL 	 ̒     XN!̀ 
 ̒     XM!  
 ̒    	 XN  
 ̒    
 P>L 	 ̒     X!Oa  
 ̒     XN 
 ̒ 	~   b D
      &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @,   &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @   &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@4i @  &@4i @  &@4$" i @D@   &@4i @8  &@4<i @  &@4$T i @h@   &@41i @X  &@4li @,  &@4$ i @@   &@44i @|  &@4@i @L  &@4$ i @@   &@47i @  &@4 i @p  &@4$ i @@   &@4
ji @  &@4 i @  &@4% i @ 	  &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$ 
  &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @   &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@4= i @  &@4#Gi @`@   &@4Y@i @H  &@4=N i @  &@4#u@i @@   &@4Yӈi @l  &@4= i @<  &@4#@i @@   &@4Yi @  &@4= i @\  &@4# i @@   &@4Yi @  &@4= i @  &@4#i @@   &@4YXi @ܒ  &@4>xXi @  &@4#,i @    &@4Bi @ @    @4Y  &@4>y i @ē  &@4#Zi @   &@4B i @$@   &@4>yi @  &@4#@i @@  &@4," i @D@   &@4>zi @  &@4#@i @`  &@4,T i @h@   &@4>{xi @0  &@4# i @  &@4, i @@   &@4| i @P  &@4GGi @  &@4, i @@   &@4| i @t  &@4Gi @  &@4,| i @@   &@4|@i @  &@4G	i @  &@4,} i @@   &@4|`i @  &@4G
mi @   &@4,}N i @@   &@4|݀i @ܒ  &@4G%i @   &@4,} i @<@    @4|  &@4Fi @@  &@4,} i @\@   &@4Fi @`  &@4,} i @@   &@4FKi @  &@4XXi @@   &@4Fi @  &@4X i @@   &@4Fi @  &@4Xi @@   &@4Fqi @  &@4Xi @@    @4F(  &@4Xxi @0@   &@4X@i @P@   &@4Xi @t@   &@4Xi @@   &@4Xi @@   &@4X`i @@    @4X(@ 	 i @	 i @̉	 i @Љ	 i @؉	 i @܉	 i @	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @@	 i @`	 i @t	 i @	 i @	 i @	 i @@ 	 i @ 	 i @(	 i @D	 i @\	 i @l	 i @|	 i @@ 	 i @	 i @	 i @	 i @4	 i @H	 i @\	 i @h@ 	 i @	 i @	 i @	 i @	 i @$	 i @8	 i @L@ 	 i @@	 i @	 i @	 i @	 i @ 	 i @	 i @,@ 	 i @ 	 i @P	 i @	 i @	 i @܉	 i @	 i @@ 	 i @	 i @	 i @\	 i @	 i @	 i @؉	 i @@ 	 i @	 i @	 i @0	 i @h	 i @	 i @	 i @@ 	 i @@	 i @	 i @ 	 i @<	 i @l	 i @	 i @@ 	 i @ 	 i @x	 i @Љ	 i @	 i @H	 i @t	 i @@ 	 i @ 	 i @D	 i @	 i @	 i @$	 i @T	 i @x@ 	 i @ 	 i @	 i @t	 i @ĉ	 i @ 	 i @0	 i @\@ 	 i @ @	 i @ ؉	 i @D	 i @	 i @܉	 i @	 i @<@ 	 i @  	 i @ 	 i @	 i @p	 i @	 i @	 i @ @  	 i @ l	 i @ 	 i @H	 i @	 i @Љ	 i @ @ 	 i @ 4	 i @ 	 i @ 	 i @l	 i @	 i @@ 	 i @  	 i @ 	 i @ 	 i @H	 i @	 i @@  	 i @ \	 i @ ̉	 i @$	 i @l	 i @@ 	 i @ 0	 i @ 	 i @ 	 i @L	 i @@ 	 i @  	 i @ |	 i @ ܉	 i @(	 i @h@  	 i @ P	 i @ 	 i @	 i @L@ 	 i @ (	 i @ 	 i @ 	 i @,@ 	 i @  	 i @ l	 i @ ȉ	 i @@  	 i @ H	 i @ 	 i @ @ 	 i @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
 ?
  y4 nr theRandom length igap Math floor iflag j swapTemp theIndices commaFormatted neo . inputString split neoLen neoStart charAt - neoLenR noCommas FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e $ ShellSort2  theRandom theIndices    N<           R< A A A         H g         I                           H     GN  NH    N     GNO   G O 	 N 	  	  GNO 	  G O     P            R   
   inputString      R< 	         N N<         <            	         N R I      <  <          R<     ?	         I        	         IL    I >              	         N R< <      I   	                  	         N R<                 	         N R<  G G< 7     I   	                  	         N R<              	         N R<                 	         N R<  G G G G< ?     I * 	                  	         N R<              	         N R<       	       	         N R<  	               	         N R<  G G G G G G<             N NH    G     NG >O     num digits      =  	         J> _          H <  !     "RK< #!     
R< #> $  
       %R< ! $     "R $K<	    ! &R I   !! 'G (   ! R< )  (    N N< *   < ) *H   !! +G **P  #!     
R< #>O  ,   num sigDigs . J     =   > -     .R     /R	 k@U     R< 	         I   -         $- 
       %R< 0 $< 01     0     R 20< -	         I   22 3-GG 2>O ?  H 
 theRandom Array tempIndex frameIndex j Math random ShellSort2 count i  MakeSequence   M        @<       @<       @         <    H M              RO       GO P     <    H V              R    GO       GO P     <    H V              R    GO       GO P        =         < 	        <    	H t          <    H C     	     GNO P P  		P y ?G           bracket   gotoAndStop R          MakeSequence = 
   state_problem  '    Xa   f f$<h!\4  +    _D   
 f%Ia?2`Cw2{-      H7      /,uɀ?9     VerdanaN      4yPzq
k!>ZqHi	/	g					e

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@
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Ĕ<,eW20)dĥ 0ZMj48 򀄒tę\xX1ڗ Eș!f3YRRm料ȨY&.,H $ jb@Rٖ]"3X 5fdv ųk)Jxҍ<ڟ*i 0(
э]`.T4&9~\١]jGkvf鏯B%rʹk}ijaFn#&Kl e\A)EЀ5I.GlDnܶRK0lDnܶ7Q 5JN㹨Eza$Fau 5k3-~͇"QPk3<ZD 5g riw{n#}FmySj1GfBIHdVP-dH%gK"fGɷm޳5L|h 
_ebkf_a 5NR\wջfs!b_~c_o۳&1 5gd]{]<}[@mJF1*Do*JIk,R/&Xf (K]rC8t@-nz@dRmkO{rgnp%Oiy幺]}[dEw` 5f)i[v.`SJDTiWq&H >ve\pf W_t}ӟ6-ܶ R[5pc1~z'<|@^;I%ușaMl>  5fnlQݯҵ$00L<83
S0>bـuR.iCց۔NZ1ޮLX8 5i>x'g<pF+F8 5ix(}֗^pcX 5f PnP "g $I	Ʌk>}Vf)OVj3t&丛zp8љј[ 7!lf_]<`eͶs 5jzyWF)Fpca$]8m͆0 5avm8m͉TŲmll0 5e֌yQ<Xb̀m{ID#{dX${@xd͏  5J1[6k?u;F6XN+LƴW5hvV8"Z1ʤ8@ 5kyWF-㘶xrg*أ~&;=  5jryWF7=?YT-Ms(Il. 5j>.2Ia r`΄t%F& O:m<. ( b2biy@&P @ h+[> H I!&L g9d  S_ M 5fdze=*ma7R$bNPk92[ZK2c\a?-
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rmo즿 8< 5fw2mRs:Z^@4kY2]<w0#Qs7.)F-hp	h5gf @Z@40ib;YfS*,BP
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a(K!LBTZ%KInQJ5jyѹ|hW1ԣ 5k+ϟ.}sbO;k&/16@5jrxx؍sbS	Fq͇.&J]ʹ 5iΌxM
;bqeM&Zά@5jvV9-'3s8$DS~` 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5b{xQiS[U  2q0 ]/&z%Rh{nبAN ,͘4J`	ٷ-%)ks@A#5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}5چ 2LDf*
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~ Sf!e.%ݬSeAЎyeYkF 	 1n'ـ.s%)-P]_U ڤ{Hl,Pm3@9L&!1M H<%Sn>[[yہ 5ef[ /7jآᰶKMg];k[ +`aQrmjU~  5byQv-^c
lKl5l5dyQYSgV k\40kuE.I6{6;0VBĶV 5J⋥pn(gv߈ 5b{yXV,^ 5kbf\ ,8jآᰶmi]z[ ,;'ސ^Yv(l-RdV\Y'-v;\Ka{U-*lJ0Q\h/*M@ 5ef[ /7jآᰶKMg];k[ +`aQr-WҬd  5I, *b	i%5r˴ XmSPɀJ*6L A8F̍`32bx8't4PՌ 5bu]J
r̠		<2qu<)-2mk7][\ax(=seLL76uW#Ȼ=A#5hyW-DIKTNbOـ/3 \
VB+rdv1@+j8XKA*2p؛n6\o6DfJ 5fvX2/]:N3bl/lJ⚽Ҫڴ`u
 5ff1\Yp	fR['2e*Ixnkj.d 2IR% `d%gfqf[!eZI[dWenv\۳n\6Iؤ:h敜ymf 5a~wk۪~u	@1YQ2&%@l<I!vU5@I4 06lv 5hyQv)h&RZ& ?*l	[a{> R@+* 5iy]Cϐ]-n%kyī65lny]SpMvO>t.PNGFCax 5K-m{[2ėj]ӭ=nw 5iy7ȯn7V[` 5OcOvn/eY@ 5hqx e@  !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  hFuuF/M:_&j&wvg~~bh~a^n~~^F^^ X T`  XT0S XR3 X[1g XJ.g Xi[PnEPѷ@Ir  _5L XEI$ XCT  XQI4   XTG  X'KT`  X^Ht` XEJ( XMIt`  X=IX9I$X$H  Xs)7H\X{YXP>$  XU`  XdR`  X:Tt( Xd[4`  XdI`  XdH`  X:Z4(XdS`  XE-t`  X.`XgWt`  XdGt`  Xd_t`  XdS`  X:]  XdIt`  X:_ bXdY`  XCP4( X N`  XYR` XU`  X.x`  X"S`  XNt`  X?P`  X4A X]I X5?WX6DS X5FX"13  X6DWj X]F  XXTL  _!tLj XaK  X^  X]q  X]F  X5G7 X]Ig X6DWg X]77H  X7= X/XYEH XHH  X+cwH  XHH  XHHg X/>WH  XMGKq !!'A',,.,.....:ASATAUAVAWAYAtAuAvAwAyAAAAAAAB,B.BTBB B B CCCCD,D.DTDWDXDYDZDF,jF.jF:F;F? FAFT FaFeFoFjFFFFIIIJ,J.JAJJKOKaKeKoKuKvKwKyKKKKKKKKL'LCLGLJ2 LOLTLVLWLYLvLyLLLLLLLLO,O.OTOXOYOZOP,jP.jPAPY
 PaPePoPjPPPPQ,Q.QRTRYRaReRoRuRyRRRRRRRRS,S.SASSSvSwSySST,oT.oT:T;T? TATCTGTOTSTTTaTcTeTgToTrTsTuTvTwTyTzToTTTTTTƿTTTTU,U.UAUUV,oV.oV:V;VAVaVeVoVuVyVoVVVVVVVW,oW.W:W;WAWaWeWoWrWuWyWWWWWWWWXCXGXOXaXeXoXuXyXXXXXXXXXY,oY.oY:Y;YAYOYaYdYeYgYmYnYoYpYqYrYsYuYvYoYYYYYYYYYZCZGZOZZZaZeZoZwZyZZZZZZZZZavawayb,b.bybcTccceTf" f' f)2 f* f,f.f?7 f\2 f]2 fyf}2 ff f fffhvhwhykekokkkkkmvmwmynvnwnyo,o.ovoxoyop,p.pypr,or.oraror r rrrrtyt
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 tttv,v.vavevovvvvvvvw,w.wawwwwwxcxdxexgxoxxxxxxy,y.yaycydyeygyoyqyyyyyyyyzczdzezgzozqzzzzzTVWYTVWYA,.AT7 V2 W Y7 st A,.AT7 V2 W Y7 st AIJSTVWXYZavwxyzAIJSTVWXYZavwxyzAIJSTVWXYZavwxyzǌǖǗǭ,.TXYZ؅,.vxy$    ` " 	 fwnvMl $    ` " 	  33wnvMl       d>     ar0r             u@Dc        f&I   x     f&I    34  
B    u@Dc 34  
B    @@'t@
         0   x      0    @@'t@
   pl         ì       PnH 
 f%K9Cj~)_:      Z?b ܄ 
 f%iwgF      N%i- f +~)_9wX (    `$
 	 fwnvM (    `$
 	  33wnvM U    H    @)x  @ n@  ^   fk32    f&I     @JKW    x|34  
B    n834  
B      A134  
B     @'[@
   fk32     0     @JKW     0     @)x34  
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   p`<             @-Wa      Xg  	 f|Mf      Xg  	  33|Mf           @)0   ?x    ?i    @)034  
B    ?x 34  
B    b@'u(    ?i     0    b@'u(  p0           @-g      Xl!   	 fnn       Xl!   	  33nn   !  
    @)0   @ PP  @ P  fk32Ҩ    f&I     @JJA    @)034  
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B    @ P34  
B     @'}   fk32Ҩ     0     @JJA     0   Z34  
B      @'}   p@        !   @-uY  %   " `	000  f f$=´tP0  "   &   # _a   f f%l0\+A$9  #     $ Wԉ 	 fB@  $ =F    % P߇ 	 f  @  % @ORwP &   & o__   f%7fa5Y & ;     ' @  3ff% 
   '  A   ( h"P   
 fIF80nSx%SBܧ~    (   @'U    ) b6  	 f  &@ ! ) 0h   * p// 
 fjh%L9 fT ~{,Nf{n~9GfP =5 N'" ֈRB,ڝhf " *  @ k(# '     + w)C
            333 #%-%WPu )!fL}rA^iD́V
#!sH1YHAb΀Js++T5j`ݴq&EBr֝  ifdDA+Ţ 5q#m?B{@exB]Bs+/wKq$$]Yݖ3D2lKF]iQ_臥|bR$Ƞe%k̮
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l eƭZZգ  
ʥfM5 I  . l G   	Wn 0ffffff
    !H!瀬)du`_e&8dV~2Հ{ݑ]Z2 >tJR,3g
s8ǗO]}:!ʉ 5${QF%ػ!{-<lvԟ䡈\4@YӮcO&҄iSnZ:K2Qi(m?1<dCϐE?)$J  ffffff
    !5|Cu
GROb;7odvD	Bڞv  8  / m7s
([p  fffÒEz  fffa&
ffffffa' ffffffa$
ffffffAր` fff
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 333 3332-D'wQd2d?Rq=0R=E"`B_gbk]|ԃqh[oܭd6#z<#7n8	CE F]ۡ@LcݺlN`C ܦp$;پ65y 0   0 Xi 	    *   rRhj rRj  "   1 ugʠ (    %g-D-V(     2 W؂v" (    %/|C "   3 `;h3 
    1=   8   4 m~`
  (        %%d)黠SI tV_%E( h "   5 `23 
    ) 9   D   6 w(+9 (    (    %!vꐖЖ<])DC؁X 	@+Җ] "   7 `23 
    ) 5   4   8 u?ⷱ (    (    %62V>[[  "   9 `23 
    1 )     : P	 	 d    ; P4	 	 T    < P	 	 ,    = P4 	 Ӡ     > _t_  <   %n y#     ? Ulo <   %VsmNp 	   @  D
    ?  @   "   A `>P;P 
    =U)U B "   B `>P;P 
    -U=U B    C Px  /     D P  /     E P4Չ 	     F P۔x 	 / 7    G P 	 /   M   H tAe;P f Վ3	w $0ꐔÀ S: $ *s<@jBL  !   I mx.  d 33%'ZUx/N9U X   J o\"B [  
 mu@, UTGx;ۄwOᣰЃ+#<)/f4t 	Y  K - D
   ?     +   ?  , |^_  ̋ - ɿo , S%t[ - % u . B[ /   ?  	 , |j_p 
 0   ?  1  @   2   @| 2   |` 3  @  4  @   2   K  2   @B  5  @ ZM 6  @   7  @ dm 7  @ M@ 8  @   9  @ Ɗ : ɧ?i܎{0 ; ɦfiÀ < ɦfi
LT = ɦfiB > Hڂ<  @ Hڂ?+  > '*@ r|A   @ '*@ rU " A P # B @ @ @ @ ?    
   fbd @  |]_ K i @ ɿo@i @ `jiD2i @  	6l2i @	 i @	 i @		 i @	
 i @	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̓ ɧ=i{0i @@ 	 i @\	 i @\	 i @\	 i @\	 i @\	 i @\		 i @\	
 i @\	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @\@ 	 i @	 i @	 i @	 i @	 i @	 i @		 i @	
 i @	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @		 i @	
 i @	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @@ 	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h		 i @h	
 i @h	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @h@ 	 i @	 i @	 i @	 i @	 i @	 i @		 i @	
 i @	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @̉	 i @@ 	 i @ĉ	 i @ĉ	 i @ĉ	 i @ĉ	 i @ĉ	 i @ĉ		 i @ĉ	
 i @ĉ	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @p	 i @p	 i @p	 i @p	 i @p	 i @p		 i @p	
 i @p	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @h	 i @p@ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 		 i @ 	
 i @ 	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @4	 i @ @  |^_  i @ ̏ ɿoi @ ̕ S%t[i @ ̕ % ui @ ̉	 i @ ̉	 i @ ̉		 i @ ̉	
 i @ ̉	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @ 	 i @  ɧ?i܎{0i @ ̙$ > @ p     o % @ @ p 冀    o  ' >  p      o ( @  p 
@     o  * > ?p      o + @ ?p  `     o  @ 	$    o 	%    o 	'    o 	(    o * ?p     o + ?p  _   o @ 	$    o 	%    o 	'    o 	(    o 	*    o 	+    o @ 	$    Fo 	%    Fo 	'    Fo 	(    Fo 	*    Fo 	+    Fo @ 	$    o 	%    o 	'    o 	(    o 	*    o 	+    o @ 	$     o 	%     o 	'     o 	(     o 	*     o 	+     o @ 	$    &o 	%    &o 	'    &o 	(    &o 	*    &o 	+    &o @ 	$    ,o 	%    ,o 	'    ,o 	(    ,o 	*    ,o 	+    ,o @ 	$    3Fo 	%    3Fo 	'    3Fo 	(    3Fo 	*    3Fo 	+    3Fo @ 	$    9o 	%    9o 	'    9o 	(    9o 	*    9o 	+    9o @ 	$     3? 	%     3? 	'     3? 	(     3? * ?p      3? + ?p  `     3? - C ɨi_̠`{. < ɧiL@9/ D ɨi_0 < ɧiLB1 E ɦfiM:@2 F ɦfiMJ@ @ @ @ ?#             _parent   play R @ ' ( * + - . / 0 ?    
   show resultant 3 > ɰl3~`PK=     3? 4 @ ɰl3~`[     3?  6 E ɦfiL¸7 G ɦfiLR@ @ @ @ @  	 
 ?    
   highlight shear planes 8 H  9 /  W: , |is'T"@; 0   < I  = J WF @ @ @ @ @ @ @ @ @ @ @   $ K  9    L xĊA  
 f5.l F8w 02K;C Ļ 0B"ߘLw;C Ļx0E1ޥF<SP `E0%B  ` 0C)H# 0D K  o=EF ĻELG@  `>L;R Ļx0<&%#Ժ 0@1p2Ժb]"h"-uS ` Q `F3XaP 781ؗq L `@81ڗ@C`zE1ޥ #v(j]D P"-uĊc!mK E"v`|cq ,Z b L     M T    @a8eÅ ;   N  - M     n`C`  n`C`M        
   <   O T   f 3ff  _;a;v_D8Y\'ACP`U]@Ÿ~o :   P  - M     n`C`  n`C`M               Q ]_0Z  f kxV:     R d>@ 3ff C3c     S d>@  ap` l   T + Q  Pב  R   S   Q  Pב        state_problem     _parent   gotoAndPlay R    ;   U hRp 	   }_f_n T_tn Tfh|Bn~ k   V + Q  Pב  R   S   Q  Pב        pin resultant     _parent   gotoAndPlay R    [   W h 	   !fn}|B_f_ TpTfj}n Tfj}_vBr T T_tn TvB j   X + Q  Pב  R   S   Q  Pב        pin diameter     _parent   gotoAndPlay R    C   Y h 	   fnvBfnl TvB TlvBf~n_nf f   Z + Q  Pב  R   S   Q  Pב        finished     _parent   gotoAndPlay R    (   [ `# 	   pTvBvB}tnl h   \ + Q  Pב  R   S   Q  Pב        setup_set1     _parent   gotoAndPlay R    ?   ] h 	   j}j}n_ Tj}tnj}zvB_} 	  ^  D
   ?    

   collapsed  N   O  @ @ @ @ @ @ @ @ @ @  ?    
	   expanded  P  
  T $
  U  @ v@@  V   W  @ @@  X 2  Y b|@ 
 Z R  [ cD@  \ \  ] d@ @ ?    @   c ^ @@  6   _ D40  f%9O P
q%)q^P5 %R   &   ` @S$  f 9O P
q97g2d 	Y  a  D
   ?     _   `  @  @oL @  yXmS @  (k @  wޱl@J @  ~' @  eŗ4 @  M&uyF @  vv @  v @  M&򌆺 @  eh0 @  ~O| @  wޱ? @  x @  yƧ6 @  @Mo @ ?         @   v a @ TtsP y '  @ @ @ @ @ @ @ @ @ v ?    	   b  D
    H I!4t@   v b @ TtsP @     $ b c v y ?+           bracket   gotoAndStop R 
   pin resultant   ì  U  c  H    @)x  @ n@  ^   fk32    f&I     @JKW    x|34  
B    n834  
B      A134  
B     @'[@
   fk32     0     @JKW     0     @)x34  
B   @ n@34  
B     @ A0P34  
B     @'[@
   p`<         c   @-Wa    d       @)0   ?x    ?i    @)034  
B    ?x 34  
B    b@'u(    ?i     0    b@'u(  p0        d   @-g   e  
    @)0   @ PP  @ P  fk32Ҩ    f&I     @JJA    @)034  
B    @ PP34  
B    @ P34  
B     @'}   fk32Ҩ     0     @JJA     0   Z34  
B      @'}   p@     U   e   @-uY ^   f pMy
  	 f!wn|Mnfn bpbwjn bfjnvMr b bntn bvM   f    g b6  	 f  @ ! g    6$ K  9  bracket  ^ @@  a @ TtsP  '  @ $ ŵ9@ $ ū9}c@@ $ š9t @ $ ŗ9jĀ@ $ ō9aC @ $ Ń9W@ $ y9N@@ $ o9ECo @ $ ev9<Y@ $ [f92D@@ $ QV9)3.@ $ GF9@ $ =89@@ $ 3(92@ @ @ @ @    h hQ  
 f2 0j.F8$ 03)_xe3ԺE@@ ob]ЈR9~`41$#vĄE.ޥ ~`6#s 021pTɖh2 b h   ?u.@@ @ @ @ @ ?    (   i `-0$ 	 fjnvMn (   j `-0$ 	  33jnvMn (   k `-0$ 	 jnvMn  &   l ` 0 0 ̙  4JpGoi~Z   m   "    @)0i   3@'
)"    @)034  
B j   3@'	SQ    @-a"    @)034 z(0 k   3@'	Sl         m ܨ1 @  ?+     fbd     bracket   gotoAndPlay R @ @ @ @ ?     m ܨ6 @  ?    @ @ @ @ f   n p+}
 
 f$ZB"܌! ǄE.@)`x09#SP `j]A1"KǆSDP c n   @'    o P4	 
 	 d o  @8N:e G  @8N=`   p PB	 	  f p  @8N:  q  C  5hk,\8 ܋5P8C̄ E18ޔap@Z7qAn7qw߼ 5FAnm	.]$@.%:ܔq'
 ]
epqЫBه*Iw;e'bn @4$ZDl	dC$Jot2	q[ 3\t~p'Tܿ 5E<mxlnY' @1$ZDp	 =R !`%5ɹw )' nUJ2|GiStĔ     q SymbolSpt   r PΏP  	q jhk g r @5   s p/ 
 
 ? 8[  / .F" 
? cG@ 
?@  c1ćh 
? cF@ 
?@  c1ćh 
? cH@ 
?  c h s 7v i E  @8Nj C  @8N k p  @8Nl r @m E   @8Nun F   @8N"E    t P*Ӊ 	  o t   @N   u P:	 	 P p u   @N'q C ?0I r <  @8N,s p  @8N3}   v P	 	 8 t v  @8N8]u E  @8NU	v D  @8NW w p  @8N[9x r @Qy D ?c z <  @8N`1{ t  @Nf| t  @Nz} p  @8OGfF~ v  @8OIF"   w `$`" 	 =Sk  w @'k%"   x `$`" 	 -{k  x @'@ @ @ @ @ ?     m ܨ@ @  ?    @ @ @ @    y p
 	 fb|h `~x`j `lv~ `8 / .0 e `2ˊ / z e `b|h `2ˊ / v eee  y   @'_  C ?:xЏ < }@8N7vP,   z `" 	 ] ASk  z   @'=vP D  q?aExЏ <  J@8N]vP,   { `" 	 ] A{k  {   @'dYvP E   @8NyvP F   @8NIxЏ z   @'v`@ @ @ @ @ ?     m ܨJ @  ?    @ @ @ @ ?w  |  Symbol
  ~ A%5I'FL	)$)
QD0\	$A Lw `,(H / PRI~ R
)J@	0
d0EA	@| 5JܙxӰ~և0hP|8(7Gk
M7%DMtv˩^?t|4eٖS IL{x+Lx6 u8QΖşT\WZזz 5gb Ziu&rt1  ̍%yg[/Z86Uf Q^ج!YgKVRUcec	L X-Q$#e#14#.2HxpV0]X;Rf# 7v	c n 5L4F0>m3o\7\uΞ$9 h@,,^R |ќF}.MǤ8}k n\ -C6u`	R -QؐD0H	 8+'f* ;ZYMx&G.ٜ@ROc]Up< 5AE,,Ѫ`JfFGM)E-dó
{ʽl:s{n3ްc0',Q2RgJ	ҏ~rd 5bhc.xsIM-ːSg( l$	i[z֗~f ;(ef<U +}20`JS|	d1Q 5ITmRΦ4:F զ& 6r^ਗf0c JS7$&Nf 0nF I Zkl-((&J~k 5E<mxlnY' @1$ZDp	 =R !`%5ɹw )' nUJ2|GiStĔ  5~ԡp: 5h6-u7m-׿׉SP \abegqst  t2jj2XW  X*M X=@nPJE P X-=t X'J P,`mX*FQh     } p	n  
 	| !R ql / e| !R ]! ASk    4  3 A{k    4  w(  I)t;^H  } p@    ~ pz &8  %o  ~  k     P  	|    93j@s    p ̀ 
 	 f-Tpj `jx`b|ǈ `lv~fj `r`| `pj `r`| `r` `pjjlv~j(q ,   9`@ @ @ @ @  ?     b @ TtsPT @     $ b c d e f g h i j k l m n o p q r t u v w x y z { | } ~                    ?_     show resultant     bracket   gotoAndStop R        pin_eqn   gotoAndPlay R 
   pin diameter   ì U U    H    @)x  @ n@  ^   fk32    f&I     @JKW    x|34  
B    n834  
B      A134  
B     @'[@
   fk32     0     @JKW     0     @)x34  
B   @ n@34  
B     @ A0P34  
B     @'[@
   p`<            @-WaU           @)0   ?x    ?i    @)034  
B    ?x 34  
B    b@'u(    ?i     0    b@'u(  p0     U      @-gU     
    @)0   @ PP  @ P  fk32Ҩ    f&I     @JJA    @)034  
B    @ PP34  
B    @ P34  
B     @'}   fk32Ҩ     0     @JJA     0   Z34  
B      @'}   p@     s      @-uYU I    h^jP   
 f;)blAݹNخ 1B+bؚ̨~7)x        b  	 f  &@ !     6$ K 3(92U bracket      a9" p  %iux     P+x 	q jh  #    P4ɐ 	 ؊ /  $    X@a8 	 ] /      p = r	 	   pjwj R.  Xw    T. T  bwjb Rdtajfmjh Rm~ Rpjbw Rle~wfj      bz6   %^     P+P  
| jhM      q   %       hjQ 
   HH e8@ `켐  
,e((( `$켐  <( `$(( n 4t  F    hMU  
  \ b 
,eD@L e0 `((   4t 	Z    D
          @Q` p  @8JI  @8KW}h  ?TP   @ @ @ @ @ @ @ @ @       @K	 	    @X
 p  @8KvM@  @8LS҂  @??@@ @ @ @ @ @ @ @ @ @     p  @8LscP  @8MEP@ @ @ @ @ @ @ @ @ @ ?#             _parent   play R 
   fin   @j @      6b  RB@U pin_eqn i    p \ 
 	 f(Tpj `pjb `j `r`| `pj `r`| `r` `nr`j| `dĒ(q s    ? { ^ @@U  a @ TtsPU  '  @ @ @ @ @ @ @ @ @ ?     m ܨ^ @  ?>   &  highlight shear planes     bracket   gotoAndStop R @ @ @ @    pl  
 f T_0 f%Bl;I-;R <c)% Y ob]푈`j] !D[RM 0<R#B 0 (@81ڗ@# `zE1 [9K 01.g;Rw 01.mK%v 01. Rnx05.ph Ye"c1ɘQ8P(  :  n2
    8[B"ߘRBԺ 0C)F1l`j]GDð 6	@81ڗ@e4S ~`B" %B  d2"v ) m
b9%B  d 09!#LԺE-M@B (#db5.F8hb?0"GR pc.p(f  z5.ow# `@81ؗq 2Ժb]" \lSD !mKe42u 0GD Ժ  hb5.KԺhb pB:$  P	SE1mf%2u2 t   @-r(.@@ @ @ @ @ ?     m ܨh @  ?    @ @ @ @     p   
 f)T_1ڗPaj]@;R pc.pԺb]DX! j]  F8 0   o@GDV! j] 2LS5.#Ļx0 p u  @	Nv p  @A9w  @?    p*ހ^
 
 c6@ / ?@  19@@ c ?q N  ? c 
? hb  / ?@ 
?   :   19@@ 
cHrf8a `z=J    :  x  ?qy   @wqQ    hP  
 hb  / ?@  19@@ c1r8P( z  @?~A@ @ @ @ @  ?     b @ TtsPr @     $ b s t u v w x y z {   ?    
	   finished   ì s U    H    @)x  @ n@  ^   fk32    f&I     @JKW    x|34  
B    n834  
B      A134  
B     @'[@
   fk32     0     @JKW     0     @)x34  
B   @ n@34  
B     @ A0P34  
B     @'[@
   p`<      U      @-Was           @)0   ?x    ?i    @)034  
B    ?x 34  
B    b@'u(    ?i     0    b@'u(  p0     s      @-gs     
    @)0   @ PP  @ P  fk32Ҩ    f&I     @JJA    @)034  
B    @ PP34  
B    @ P34  
B     @'}   fk32Ҩ     0     @JJA     0   Z34  
B      @'}   p@     z      @-uYs +    a.p"  	 fpbvMvMtnl        b6  	 f  @ !  *    hT`  
 f89)*JHhY~P $  q~ ?H    m      l@[f 7(?EO670)9 rf6鮩r@    p(;-p 
 
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|- &^pF<` F'pcsS@I$$I      p(;-p 
 
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|- &^pF<` F'pcsS@I$$I  ?H    m   l@[f 7(?EO670)9 rf6鮩r@    p(;-p 
 f33
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|- &^pF<` F'pcsS@I$$I  ?     2      ]  ]     ]     z  %  s ( ^ @@s ; a @ TtsPs > '  @ @ @ @ @ @ ; ?    ; b @ TtsPy @             ! " # $ % ( ; > ?     txtInstructions    
   setup_set1   ̀Lӕ~y    3`   ͂=US~
    fc2d #    x
I  < f%E- ȔS%    E    xd6      upfwG-j #fw$v#|g    @u L    30    @m    3`  * $I&&1      0 |   wү < 
   3f B@2t?7Ʀ!$ m2t89fm|rD$ @ 8"f )NܿDJp	 qn_0"a	 f`@2PfB$ 0c2ۗJxb	 ˊS[;aɏ n_11&ũN|,> ,a ˌ?; Pa	 q[0".ň&s.)N qmLf`E)<a)N qa8@1F[r	O YV6oJwĈ @f^89fm|rD$ @ 8@F<B&	ԧn_/G@   eg`    d5L@ f O1Ykv\g)ARt짏)r w~%_)q f n 41ʴ8  f kir_ZɓxL;RGֽŉ@+Sj%kMgę@=
fni|z,Z77<|yM0>@4_K,z  <    a     C1k	3/f 8И=<d ?    d6Ԇ7 ff %](eI@% *ٸfo.q"ܫIEYj'ԋ	km	jYu0Bp[[~G'G 9ԇV2Q3)JU(D2EeD(g'uY^  u    d6= <   3%j=e	٦V5ݕqZ4ѻAIg@	 6ZYMZGez%Xǌ~[(
qJ{*Nx;.RҠ 4    h5.P   	   3 fpjfv~r`|ǈ  ;    a    3 oSfN 91`<,& Л#<`Ӎ	3 4    h5.P   	  fpjfv~r`|ǈ             3`      uU@             @'A       &I        `      uU@       =?B      QuestionThisSet           Set1_CorrectCounter           TotalQuestions_Set1     {      z @      ?  ) UserValue userResponse StripAnyUnitStrings AbsValueFlag Math abs correctResponse bCorrect IsItCorrect formattedCorrect numDigits formatDecimals checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!
Well done! The correct value is    unitString . response user parseFloat isNaN tolerance diff correct outputString sFore sAft LengthOfString LocationOfSpace inputString indexOf substring outputstring LocationOfComma , length  T EvaluateAnswer  correctResponse numDigits unitString AbsValueFlag correctCounter       =<    5         R J     R       =< 	
      R<  .         R P  6         R 	G G G G > IsItCorrect  user correct   A     =    =       =    > z?{G<   <       RH   >    >$ StripAnyUnitStrings  inputString  A A A A             ! "R<   I   ! #               ! #R !$ %        < %        &   ! "R< % I   ! k  ! 'N %            ! #R  %    G    ! #R ! G % I > J    =   (>   J> ?u    txtInstructions Enter your answer (without units) in the text box. GiveTheCorrectAnswer  UserResponse checkmark gotoAndStop QuestionThisSet questionNumDisplay questionIndex theFrame frameIndex shift series config SetupProblem length MakeSequence             R P      IL       I   	    q      IL       I   	    6      IL       I   	    
         R 
     R  		O          N R  N	         I           = 
   set1 	q    g'g3| @            text <P ALIGN="LEFT"><FONT FACE="Symbol" SIZE="16" COLOR="#000000">ab lot</FONT></P> 	     D
     @ 	I @      6  @{ dummy_symbol   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3` 	    p]/\3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Enter your answer (without units) in the text box.</FONT></P>   [ ?D    st
?p @<    5:V4@]\u` D*̫V3ʪ <U	   	1    W1          ( questionNumDisplay 10 
  z@'cp`0?    TahomaL      Ao1_z"w	;	[					


t9XwGP4.Iv 5HBnNoPVD?؄,\]c5c{xI>Qk=I>Q5c~{xI>Q5f尒mn#ԙR  VEI|S0+	3]Iҥ/<)q :`lLDG*TRL[ 5ef8C9J`4izN]mJjv,BwS	]UL]q7m,a[-6.fqo=TM< 5K7oq	@7P<r 5Hy㨯F*qn 5L7n
f, 5/uOݞn,@5g{yYpID 5iZfH ^&oo0fl	2y啞n& tB`<Qoc~	@eje)CXSG \@\s)w@Jy.K,  5aa~J^1HmEM)~N0 5i:f B@#mJLxg%ه1VьՔ@3Yp\PR̖za?Pw2!X 5i& 	m;%#%0{<\l[.ŶPK`3eـoeR4ܜɮl$G2V15/Lu#nex:j鮿rkG]Bv1?>]%`-iS&Ri . 5J݁o?/SݺPekɺ؜WRj< 5i&x,Mi?Ak\E#/*e0\ ([KI(B@?)brvDK[u!7Md\{}pn0 5ff .DZTr7%6ʌY<] 	s :&O&__f7mۓj^MxC0¶%p̓$[ <m*:IADtևΗiPU5%W޺? 5izy40Sm';tD{@ 5fk>sZ3e z@A9G@>CLlȤ!4+KWPp
'q\Cf3"J2ShJ#6HXb=%`90#Cų_siK	J䤮$*,8Li>VcH$Ts\:!?*kED?m-K!84-/tkI6y-O@5ifC _>n#nG oovc8vڎT]΢7#|4l6[fm-Kg3tZ1I򔜒.51b BR$4EB`Xw|L+ə/s Hp]jIH8h(Zc 5HybnSgT{u 5Iy㨯F*qn
:Or<X 5hz ˒yxv\mzD\*oʋ9j3JK0LuH-`IK@RYݵm]ބmpFBhIH ,;rw|b5MEߴ=w hLnQ91>FFѹ 5f8WOڇ"lMpl
q*JM m\UP)"TX (KUrC8v ;>iUJP.ۼ~r5]`K(ɕmwWy 5ij-з]z.]oc7qE^xN$*1 J_5ɠ]|!z;= Rg SyyYe@j.@mʀ5fed&֯UOUMc4`~|s˗2IyZJ  4iMvY615^p+r/F7`B	5ix,-KW	;8 5ix,}gA8T7-|Q 5gel~\Gzg  #鐏@4ݷn\7n
/
߶}'=@Ϙ (Ӏ*&挲2Д>=п]Z_'vz 5k
yWF܀[^Z1D77 5gv%x^M߻~k6%wo 5abx^T(˽]E4٢h6tּ%d )ȹ76[v 5N,⊱9=n.T'um{+  5hwQ-] 5iwr	;ŅT9hcJ)) 5k.yWF3<rF7N֫VU5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p@g>h ' 4yp:p4T  5f^dJ?}.1֧=JqLiVp_.O뮒JQrm>rF8Ԫ_0p 5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p^%zpP-W`5'=PB	,P_Lܼ~=ϥ *S)  5fu_H;FP$o,Bl [$ֹhJuN
&mߐq>ؽDw(ܴc,*̀5geu;LLI) * GjPÄ'L R>k o{ݧ#1ȃG֫:d7 '	*Jk̛k4`	(z2iBk݉ 5f^yRnI7n\u$ 5jʌx]*}*  m NqwL :M02 sn W 5jyѹ=(Dq( 5knC]><Liǌs7&|aq>#;` 5Nxے}srcx~cz g֠ 5jx
oEr.W$q#/mp 5iwQܖvWx+ۗ")Gq 5dFHc	 Wʖ]xc]2:?:lI@B3fS6åz;eJ{ 6ۆm̎jv_`T:3FL@',>RԀpF6Rݘ  5hg mNk)wf\ܬrm
'?.U  4$|I(ִ++L?Y0g6K 5h2wRiwk\^nͶ^ 09T( yKiZR\v"5?|U-kzdђk0xDc*w{WB\-yp 5fN{w+r]X~f Ȱ ^ ʔV%=qfUbj@V!؈*\d}w>Kp ' 4K) k_ESL 5e@$i$PU($HsK">}o<mEK]/YG]f`I ^}^tv'' TdIIю] hg@ 5fs'u,I˴+zܽ'bfaG	&Mf6m ڎ} 5i
_Ml;l8vo==4^PM^=}Q4LKբ\`37 |yܧ*͌ mM>3 &Zىֿċp;-x;kX 0)$ 5hf-6 g[w*7V}gI񮟍uIQnTyg⿅];%S	5c޿(}$+ʌw*<?q^ 5dƿ(}$ʎ _6 ֘mOo֘N d @.xg͉nP 5Mif7ZYm7 5c{yXVG{n+5kN 1Ve0lbiE mܨp'cĘq쉒)Cܨp'7aƺ$
`QWҫd+0	ʜV2<s.  5hf-6 g[w*7V}gI񮟍uIQnTyn~U*l@L \n 5dE 		Ʌ .p+jPhP'6	{ pЛDR!]`Z>
ğtRDA(Irj"}Wsn
ȊQ@K& 5h@imNk)wfr@wʣ[@1 狙  Za`
ɀ+nXtDIH|j5i
WGdq8$  yRħ,*L@J{PG>.2>%ɸ  S%W 5"&| 5fTz~FWʏ-WkEZl'\k_A=) 5fNb1vdvZGm 6IMi L-`mp:W&P jIw$b[/Y<nݶf;KXc[P%J I	k]W)7& W#}iQfcV<_  5a:kerg +rc^iPI '8oݘm0 5i6QGVZ)- MX6X'E#!LwǆrW5iFdcA.~Š 5kR1ܣqi^<׹F׮~㈬s*Ѡ 5Lg#=ZroϺ8>7y=beq@ 5i>UDUWsqqvX8 5hwPo27oˏ:D !"'()+,-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ,_F@@OttDvSJs~e`5ti5xQkN XL"t`  X@6X<X753g X(3Sg Xa\ WPnWI!<  X;>sQ X'L$ XbIX  XLM$  X4K  XN` X<K` X1MT( X;K`  X MX"Kt$Xb"w<  X&7<\X8C$  _X`  XMT4`  X"Qt$XM\`  XMH`  XMH`  X"Wt$ XMXT`  X/8`  X7` XM[T`  XMG`  XMh`  XMYt`  X"^t  XMQT`  X"^t j XM_`  X%N( X Nt`  XCVT` _Wt`  `v  _Xt`  _W`  XMT`  XDXCMSXAXHS XI6X5S  XHVj XCJ3  X>  _&3j XCN  XCS  XCrV  XCJ6  XK	 XCMVg XHVg XC74  X? X4X?I< X J7<  Xq<  _M<  _I<g X@w<    	T    of 1         GiveTheCorrectAnswer The correct torque is 98,765 N-m.     ?q	4    h ) 3ff        UserResponse 123456.12   ` X    e-mW f  IUotS:;|%A{U8zukv{9x\yfӜ&  	'    D
   ?    @ ?q   0  correct Sound correct_sound attachSound start           @	      R           R      @ ?u   4  incorrect Sound incorrect_sound attachSound start           @	      R           R   1	lWd@      6   { checkmark  L    mqD  L C|^. zuu )TP :g:T'S θkƻ	^,   `&  (    o]Ap2  ̙f .=!;gg.c,  8    m)k     %5PB>%t*l<wmH͚ܽx      N4\  fffz 333  I2`H:&^ii! YPF+3ak2` l֔Wup!C&n/7~y ]Wn-  :    \}$7rbpffffff
 MMM5o}a9,      WrBffffff 333#),  fff MMM MMM",H!e!h^ Ix&^^ 4g2c@0՝0v$PvsT h%C)@R\)3      g)  < %(       T$ L Ri)$ 	*    g٦/
P1             text 3,300 mm 	'     D
     .=ô  q;x@   	'    `;Ѝ1         text 88 kN 	!     D
        q:@   	    D
   ?  F$ ds _parent SingleDoubleShear ds =  reasonable LH1 RandomValue LV1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable Force1 =  Force2 =  at reasonable  RC =  h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion FAB Equilibrium case 1 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  G&  < d     ,      R<   ?    <	 d        R 	   K          R< 
   K          R< 
 	      =       R<        R 	G& 
G& G&                 R GO               R GO  	 GO  
 GO        R Equilibrium  LH1 LV1 F1 F2 l        G<   G &  G& !G& "G& #& > ?             SetupProblem =   7HΆ    , 32B7I  ٤f  ȷJ@ z  3Џ     0 , ͖	  $   m 
   hį4 ?  [    H     Л ?  p    H   <   @MjD  :   @M ;   @K:̿   &  
h1    &  h1    &  IPv1    &  1+_ F1    &  _ F2 @   	    oc1 f         question 10 Compute the resultant force in the pin at C.   If the allowable shear stress is 50 MPa, what is the minimum diameter required for the pin at C?1  V    nPU     %OgcfxSu)kP@,ۦK`<NXvP>#NY
l,C 	    D
   ?  F$ ds _parent SingleDoubleShear ds =  reasonable LH1 RandomValue LV1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable Force1 =  Force2 =  at reasonable  RC =  h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion FAB Equilibrium case 2 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  G&  < d     ,      R< ?<	 d        R 	   K          R< 
   K          R< 
 	      =       R<        R 	G& 
G& G&                 R GO               R GO  	 GO  
 GO        R Equilibrium  LH1 LV1 F1 F2  	            G<            &  G& !G& "G& #& > ?             SetupProblem =     @       ȳ3 O     h    @ '  , 33e4O     @ , i	 	  $   j
Ȑ
   fuDx ?  \`    H    @@ ?  @@    H   <   @L{ :   @Me ;   @K"0   &  . h1    &  h1    &  ev1    &  F1    &  { F2 @    P    mE      %W˦ҵ{X3Ys_,Ur&iaJƃݹ , 	    D
   ?  F$ ds _parent SingleDoubleShear ds =  reasonable LV1 RandomValue LH1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable Force1 =  Force2 =  at reasonable  RC =  h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion FAB Equilibrium case 3 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  G&  < d     ,      R< ?<	 d        R 	   K          R< 
   K          R< 
 	      =       R<        R 	G& 
G& G&                 R GO               R GO  	 GO  
 GO        R Equilibrium  LH1 LV1 F1 F2 v        G<           G &  G& !G& "G& #& > ?             SetupProblem =     @ L      ȳ3 |])     |^     @ |[  , 33e6     -@ , 32BOH	  IL
    cț ?   Z     H      p` ?   j    H   <   @M :   @M ;   @MW    &  v1    &  \v1    &  Jdh1    &  >vF2    &  1Z F1 @    2    oڗA2  ̙f ǅ,Y;N-݋0K;)j  9    mR#     %m[-0YڴX_8or](+lâ 	    D
   ?  F$ ds _parent SingleDoubleShear ds =  reasonable LH1 RandomValue LV1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable Force1 =  Force2 =  at reasonable  RC =  h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion FAB Equilibrium case 4 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  G&  < d     ,      R<	    <	 d        R 	   K          R< 
   K          R< 
 	      =       R<        R 	G& 
G& G&                 R GO               R GO  	 GO  
 GO        R Equilibrium  LH1 LV1 F1 F2 l        G<   G &  G& !G& "G& #& > ?             SetupProblem =   J    , 32B3qx  J  ȷJ@ ̉         , ͖H	  $   m
   aSp ?  [d@    H     p ?      H   <   @Lwh :   @M@ ;   @LǺ   &  %'hh1    &  ƙh1    &  v1    &  l(F1    &  L F2 @    >    wL8p ̙f 3߶$1,I5tk^4YT%md0  >    ndT      %$@qD3D{P['DY\xY4WYX K  -    o4     %V@,(H+v|` 	[    D
   ?  K' ds _parent SingleDoubleShear reasonable LV1 RandomValue LH1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion hyp pow hypoteneuse =  cosTheta sinTheta     FAB FAB =  Equilibrium case 5 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  < 2            R<   ?    <	 2        R    K          R< 	   _   #       R< 	       
=       R<        R                 R GO               R GO   GO  	 GO        R Equilibrium  LH1 LV1 F1 F2 3            R         RG<   ?         R G&  <	     <  G G&      G    < ! G&  G       "& # G& $G& %G& && > ?             SetupProblem =           ?EHnC     Żi"Mj	Ɠ    Dݴom , 32B5ˊ  	  , 32BUFX	  IL*H
    ]` ?   d9X    H      v ?   F    H   <   @L :   @MmF  ;   @MHy@      &  V
Hv1    &  Vdv1    &  74Ԁh1    &  }= F2    &  }0F1    &!  V|v1 @    [    mzSa      %//q	K=˨-yxoM 4ܧ՗L(3G.fMӢ`7Qh & 	r    D
   ?  8& ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep LH2 Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm h2 v1 F1  kN F2 PoseTheQuestion hyp pow cosTheta sinTheta FAB Equilibrium case 6 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem   4           R<  < 2            R<	    <	 2        R ff?ffff<	 2        R 	             R< 
   <          R< 
 	       =       R<        R                 R GO               R GO               R GO  	 GO  
 GO        R" Equilibrium  LH1 LH2 LV1 F1 F2 	         R         RG<   ?         R  <  <        G <     G   G !& " G& #G& $G& %& > ?             SetupProblem =   ʆ    , 32B3x  ʓ  Ṑ ʨ]7l`  kv͜h@    휉5 , 32B4	  IL
   bIp ?  br    H     p ?      H   <   @L( :   @M  ;   @LѩP   &  &\h1    &  \h1    &  r@v1    &  vЪF1    &  l* F2    &   d2 h2 @    [    mݔ>      %=ޅWCn#jw	K|9Z0.vE~pCӖ_p~nBڶ:)e<` 	    D
   ?  A( ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep LH2 Force1 Force2 Equilibrium RC Cy Cx ComputeResultant RC =     IsRcReasonable h1 text Math formatDecimals  mm h2 v1 F1  kN F2 PoseTheQuestion hyp pow cosTheta sinTheta FAB Equilibrium case 7 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem   _           R<  < 2            R<	    <	 2        R ff?ffff<	 2        R 	             R< 
   (          R< 
 	       =       R< G G G G G G&        R                 R GO               R GO               R GO  	 GO  
 GO        R" Equilibrium  LH1 LH2 LV1 F1 F2 	         R         RG<   ?         R   < ! < "      G  <         "    G " !G #& $"G& %G& &G& '& > ?             SetupProblem =      	"    , ΚB0\x    @   s4 ʨ]ȓX>h   l5@@   v͏~ , ΚB1	    @ $c%(
   euP ?  e    H    0P ? 0    H   <   @L :   @MEI:  ;   @L   &  R@h1    &   Th1    &   v1    &  zF1    &  c F2    &   Bh2 @    F    mi      %濽۟EO즂ˍWYz.1\:(uk`G=  -    iTw      %ZOrڤ`-Nmy-0,wAK  	-    D
   ?P  1$ ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion hyp pow cosTheta sinTheta FAB Equilibrium case 8 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  < d     ,      R<   ?    <	 2        R    _   2       R< 	   2          R< 	       
=       R<        R                 R GO               R GO   GO  	 GO        R Equilibrium  LH1 LV1 F1 F2             R         RG<   ?         R	     <  <     G    <            G   &  G& !G& "G& #& > ?             SetupProblem =      c     p0A2Y5h  ŃƳ.cmX  |	>LY\!(` , 32Bj/    @ w;  , i	,X	  $   cX
   mk4 ?  mk\    H     faL ?  0    H   <   @Lf^ :   @M3Uw  ;   @L 5      &  Xh1    &  iXh1    &  nU v1    &  aV F2    &  V F1    &!  Xh1 @    Z    ny      %Ugb7n nd]3-*.UvTۧ-U䳛@Yڟ [.v.x 	    D
   ?    ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep LH2 Force1 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm h2 v1 F1  kN PoseTheQuestion FAB Equilibrium case 9 ------ Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  <            R< 33?3333<	 2        R ff?ffff<	 2        R 	   A   
       R< 	       
=       R<        R                 R GO               R GO               R GO  	 GO        R Equilibrium  LH1 LH2 LV1 F1 X    <   & G& G& G& & > ?             SetupProblem =   ņ<KGʤ8e-  3/  @ "     @ ; , 33ee8     eW~ , ͖`  $   e-	   Ⱦ@
 ?      H   <   @L :   @L ;   @L@)      &  /2h2    &  h1    &  "v1    &  F1 @    N    mE      %͵˟j7d;(:(( >s +u@.nclW? Q 	7    D
   ?  ! ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep LV2 LH2 Force1 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm v1 v2 F1  kN PoseTheQuestion FAB Equilibrium case 10 ----- Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  < d           R< 33?3333<	 d        R   ?    <	 	2        R 
   K          R< 
       =       R<        R                 R GO               R GO               R GO  
 GO        R Equilibrium  LH1 LV1 LV2 F1 }            G <                   & G& G& G&  & > ?             SetupProblem =   KIpŅr0mL  ̧ P*퀐  2@4  ¡      , 32B6ɦĊ  d , 32B.ؠ  IL`	  !
 ? p    H   <   @M@ :   @LU ;   @L      &  4Xh1    &  #v1    &   F1    &  6v2 @    S    n5i      %*FW*0ӒiM`-D;fqMۧP@[n:&1-B:$ 	L    D
   ?    ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep Force1 Force2 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm v1 F1  kN F2 PoseTheQuestion FAB Equilibrium case 11 ----- Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  < 2     ,      R<	    <	 d        R              R< 	   <          R< 	       
=       R<        R                 R GO               R GO   GO  	 GO        R Equilibrium  LH1 LV1 F1 F2 v        G<           G & G& G& G& & > ?             SetupProblem =   IK w(Jb  @ ݩU   @ "%L     @ ~T , ΚBc0    @ l( , 33:i	Y*`  ,   bʘ	   w 
 ?      H     2 ?  B    H   <   @Lj, :   @M5u  ;   @M       &  ofh1    &  Ifh1    &  pe F2    &   v1    &  OF1 @    \    mRˏb;      % g*dZC>/w.&3
^ YnW{`F} 	J    D
   ?  " ds _parent SingleDoubleShear reasonable LH1 RandomValue LV1 RoundToStep LV2 Force1 Equilibrium RC Cy Cx ComputeResultant IsRcReasonable h1 text Math formatDecimals  mm v1 v2 F1  kN F2 Force2 PoseTheQuestion FAB Equilibrium case 12 ----- Fab =  Cx  =  Cy  =  Equilibrium end ---------  SetupProblem              R<  < d   	         R<   ?    <	 2        R ff?ffff<	 2        R 	   K          R< 	       
=       R<        R                 R GO               R GO               R GO  	 GO   GO        R Equilibrium  LH1 LV1 LV2 F1 l    <                   & G& G&  G& !& > ?             SetupProblem =   @-~   -s  e  2˰ []      nAz , 33e1,܎     vK , 33ef     $fe_	   A#X
 ?  `    H   <   @L\KX :   @L{X ;   @KaL      &  -qh1    &  1KvF1    &  v2    &  t^ v1 @   	
    D
   ?  / Math random temp resultant ds tau pow dpin Cx Cy ----------   RC NoSteps theValue StepSize round range ValueMax ValueMin RN sDouble single shear double shear questionIndex question Compute the resultant force acting on the pin at C (in kN). correct_answer targetTau RandomValue pinGiven ComputeDiameter RoundToStep pinGiven =  sPinGiven  mm The pin at C has a diameter of  .  Assume that the pin at C is supported in a   connection. Compute the shear stress in pin C (in MPa). ComputeStress targetDpin allowable targetDpin =  sAllowable  MPa The pin at C is supported in a   connection.  If the allowable shear stress is  , compute the minimum diameter required for the pin at C (in mm).  SingleDoubleShear   <    ?              RH      > 	     >% ComputeDiameter  resultant ds tau Q 	    !	@-DT <   ?          R >$ ComputeStress  resultant ds dpin 5 	    !	@-DT  < > ComputeResultant  Cx Cy H    	 	G<   ?          R > IsRcReasonable  RC ds Q  
G&     HL   d    H   >    >" RoundToStep  theValue StepSize 8         R<   >+ RandomValue  ValueMin ValueMax StepSize w   <           R<   G<        R<   > PoseTheQuestion  RC ds  A       R    I           I          I      d   #      =<       =<	        =  G& ! "G< #!G $G G %G       &=       I   '   ,         =< ('      &=<	 (
   (    = )'G& ( (   HL   x   (H y *( +G< ,G -G *G .G (      = ?       &   @ 	Hconfig #   @  ?       6   @ 	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H config @  ?       6   @	H	 config @  ?       6   @	H
 config @  ?       6   @	H config @      6  \b@{ series "    X{!!M 	 fnnnw "    X{!   	  33nnnw "    X{!   	 nnnw      "    @)0   @'
f+ "    @)034  
B    @'
fQ    @-a"    @)034 z(0    @'
fl       S  questionIndex Set1_CorrectCounter kN series correct_answer EvaluateAnswer MPa mm       I .       N    =        I .       N    = >       I )       N    = 4  ՘{ @ 4 ?:   4  txtInstructions  Click <B>continue</B> to proceed.   A    \`|<x f3 hqIHxG@
,gn惋O
 (    `2H" 	 333f~|ǈr`|Ǌj (    `2H" 	 ff~|ǈr`|Ǌj (    `2H" 	 3f~|ǈr`|Ǌj      x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/      QuestionThisSet   TotalQuestions_Set1 H 
  {    }  4  | @       	 
      4 ?   O  txtInstructions  Click <B>continue</B> to go to the printout page and finish. A  runningScore  You have correctly answered   Set1_CorrectCounter G
   of the  G  TotalQuestions_Set1 G   problems. G 
   after_set1   ̀Lӕ~y    3`   ͂=US~
    fc2d      @u L    30    @m    3`      x   33@ a    &C0    `@'_-  33@ a    0    `@'`/  32@ a      `    `@'`/     ~    } 	    x. 3           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P> 	  [ 
 * $I&&1      0 i    qΥ     	  B@6|XvXjz q @fpjfv׀~rm|䈒 @ q~ q~ qfrfvXt   J      0              3`      u             @'O       &I        `      u      ?O      QuestionThisSet           Set1_CorrectCounter          {      @ V͞ } 	]    w[11 @  3        runningScore You have correctly answered 0 out of 10 problems.   @ i4@@   	 
    ?   A  runningScore  You have correctly answered   Set1_CorrectCounter G
   of the  G  TotalQuestions_Set1 G   problems. G 
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P  0G*U     ?  ̀Lӕ~y    3`   ͂=US~
    fc2d     @u L    30    @m    3`  & @  '    a6 $
  	 333wnwn     @'U  &    ]_]([   f f%t#=´tP0 "    X` 	      fvB_  *    ]_]([  33 f f5t#^Z:(@ "    X` 	  33  fvB_  $    \`]_  33    5k|+GEp ~     V       e@ 
5`      e@ 
5`      e@ 
5`Q   "  =8      printasbitmap:  _level0    	  ~ 	4    xĘ  1  333         txtDate 12 pt Verdana   @ A f    pK 
 
   3$LfLKe3R Ժ|c PǄEKCR v~`B"HD[~`E1    &@ `	%    w
!)   3         txtName    %@LN	1    g+/
P1    3        txtIdentifier 999999     * $I&&1      0 	]    w[11 @  3        runningScore You have correctly answered 0 out of 10 problems.   @ i4@@   