ࡱ> qrstuvwxyz{| (   v,http://medcuantica.com.http://medcuantica.com// 0LDArialܖ 0ܖ0tt/ 0@ .  @n?" dd@  @@`` P ) EFF |&lik&XQ88Iubn !s"u# $w%I& 0AA 3fff3!@ʚ;ʚ;g4AdAd< 0pppp@ <4dddd@w 0t/ 0___PPT10 ppV___PPT98{?  %l   !"#  0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> 0(  H  0޽h ? 33___PPT10i.]K+D='  = @B + *Diseo predeterminadog 0 L0 $$G{>p-$(  <l    x>  ,$D 0fB < 6LDg  ; ; fB < 6LDg   fB  < 6LDg   fB  < 6LDg  3 3 fB  < 6LDg   fB  < 6LDg   fB  < 6LDg  + +fB < 6LDg   fB < 6LDg  { {fB < 6LDg  # #fB < 6LDg   fB < 6LDg  s sfB < 6LDg   fB < 6LDg   fB < 6LDg  k kfB < 6LDg   fB < 6LDg   fB < 6LDg  c cfB < 6LDg    fB < 6LDg   fB < 6LDg  [ [fB < 6LDg   fB < 6LDg   fB < 6LDg  S SfB < 6LDg   fB  < 6LDg   fB !< 6LDg  K KfB "< 6LDg  fB #< 6LDg  fB $< 6Dg  fB %< 6Dg   fB &< 6Dg k k fB '< 6Dg  fB (< 6Dg   fB )< 6Dg s s fB *< 6Dg  fB +< 6Dg # # fB ,< 6Dg { { fB -< 6Dg  fB .< 6Dg ++ fB /< 6Dg  fB 0< 6Dg  fB 1< 6Dg 33 fB 2< 6Dg  fB 3< 6Dg  fB 4< 6Dg ;; fB 5< 6Dg  fB 6< 6Dg  fB 7< 6Dg CC fB 8< 6Dg  fB 9< 6Dg  fB :< 6Dg KK fB ;< 6Dg  fB << 6Dg  fB =< 6Dg SS fB >< 6Dg  fB ?< 6Dg  fB @< 6Dg [[ fB A< 6Dg  fB B< 6Dg    fB C< 6Dg cc fB D< 6Dg  R t> <3 ,$  0 |Cmo podemos representar grficamente una multiplicacin, de manera que si slo supiramos Sumar, hallaramos el Resultado?}}4 u> < 0,$  0 ^PowerPoint nos da la solucin, que podramos hallar con diversos trazos de lneas en un papel.__S v> <h, ,$   0 }Las posibilidades del PowerPoint se hacen una vez ms manifiestas, con una forma vistosa y clara para que conozcamos el modo.~~? w> <4 / ,$  0 iActuaremos sobre la plantilla de recuadros que aparece a la derecha, para trabajar clara y ordenadamente.jj y> 0@u c,$  0 |Hagamos un primer ejemplo sencillo y cortito. Por ejemplo, cmo representar grficamente la operacin matemtica de 12 x 123b}t z> <(,$  0 :(Clic)% {> <Ř,$ 0 QPara seguir mejor los pasos que expone este PPS, haz Clic slo cuando se indique.RRV < 0޽h ?"` 33BB___PPT10B.KP+ D@' ɘ= @B D@' = @BA?%,( < +O%,( < +D?' =%(%(D4' =%(D' =A@BB8BB0B@ A%(D' =1:Bvisible*o3>+B#style.visibility<*{>%(D' =+4 )B(-#ppt_w*2)*r3>B ppt_w= B PPT<*{>%()?D"' =+4 )B(#ppt_w*0.50)*Y3>B ppt_x<*{>%())?)?D ' =+4 . B(-#ppt_h/2)0B(#ppt_y)*Y3>B ppt_y<*{>%(D' =/u8CC*Q3> Br<*{>%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t>%(D' =-s6Bwipe(left)*<3<*t>D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t>;%(D' =-s6Bwipe(left)*<3<*t>;D' =%(xDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t>;\%(D' =-s6Bwipe(left)*<3<*t>;\D' =%(H&DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t>\}%(D' =-s6Bwipe(left)*<3<*t>\}D' =%(.DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*u>%(D' =-s6Bwipe(left)*<3<*u>D' =%(5DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*u>8%(D' =-s6Bwipe(left)*<3<*u>8D' =%(=DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*u>8_%(D' =-s6Bwipe(left)*<3<*u>8_D' =%(EDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v>!%(D' =-s6Bwipe(left)*<3<*v>!D' =%(XMDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v>!C%(D' =-s6Bwipe(left)*<3<*v>!CD' =%((UDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v>Ca%(D' =-s6Bwipe(left)*<3<*v>CaD' =%(\DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v>a~%(D' =-s6Bwipe(left)*<3<*v>a~D' =%(dDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*w>%(D' =-s6Bwipe(left)*<3<*w>D' =%(lDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*w>E%(D' =-s6Bwipe(left)*<3<*w>ED' =%(htDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*w>Ej%(D' =-s6Bwipe(left)*<3<*w>EjD' =%(8|D' =4@BB3BB%(D' =1:Bvisible*o3>+B#style.visibility<*x>%(D' =-g6B fade*<3<*x>)?D' =0l9 BB A AHCC*<3<*x>)?D' =0l9 BBHCCBB*<3<*x>%()?D' =1:B (0.5)*Y3>B ppt_x<*x>D ' =+4 . B (0.5)0B(#ppt_x)*Y3>B ppt_x<*x>%()?D' =1:B(#ppt_y+0.4)*Y3>B ppt_y<*x>D' =+4 . B(#ppt_y+0.4)0B(#ppt_y)*Y3>B ppt_y<*x>%()?D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y>.%(D' =-s6Bwipe(left)*<3<*y>.D' =%(؋DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y>.t%(D'  =-s6Bwipe(left)*<3<*y>.tD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y>t}%(D' =-s6Bwipe(left)*<3<*y>t}D#' =%(xD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*z>%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*z>D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*z>++0+t>0 ++0+u>0 ++0+v>0 ++0+w>0 ++0+y>0 ++0+z>0 ++0+{>0 +} 0L0 ))T݄0 M)(  ~F       `B  0LDg  ; ; `B  0LDg   `B  0LDg   `B  0LDg  3 3 `B  0LDg   `B  0LDg   `B   0LDg  + +`B   0LDg   `B   0LDg  { {`B   0LDg  # #`B   0LDg   `B  0LDg  s s`B  0LDg   `B  0LDg   `B  0LDg  k k`B  0LDg   `B  0LDg   `B  0LDg  c c`B  0LDg    `B  0LDg   `B  0LDg  [ [`B  0LDg   `B  0LDg   `B  0LDg  S S`B  0LDg   `B  0LDg   `B  0LDg  K K`B  0LDg  `B  0LDg  `B   0Dg  `B ! 0Dg   `B " 0Dg k k `B # 0Dg  `B $ 0Dg   `B % 0Dg s s `B & 0Dg  `B ' 0Dg # # `B ( 0Dg { { `B ) 0Dg  `B * 0Dg ++ `B + 0Dg  `B , 0Dg  `B - 0Dg 33 `B . 0Dg  `B / 0Dg  `B 0 0Dg ;; `B 1 0Dg  `B 2 0Dg  `B 3 0Dg CC `B 4 0Dg  `B 5 0Dg  `B 6 0Dg KK `B 7 0Dg  `B 8 0Dg  `B 9 0Dg SS `B : 0Dg  `B ; 0Dg  `B < 0Dg [[ `B = 0Dg  `B > 0Dg    `B ? 0Dg cc `B @ 0Dg   A <x>Z4 H,$  0 Lo primero consistir en trazos de lneas horizontales por los dgitos del  multiplicando , separados oportunamente:uu B <>6u ",$  0 vDgitos del 123 : 1 2 3@  ___N D <>P,,$  0 zLuego, trazos verticales por los dgitos del  multiplicador :>> F <>1 W,$D 0 x123 x 12T B H 6DMMMo[o T[,$D   0B I 6DMMModp Ud,$D   0B J 6DMMMon S,$D  0B L 6DMMMoq V,$D  0B M 6DMMMoo T,$D  0B N 6DMMMowm Rw,$D  0B O 6D)))o E,$D  0B P 6D)))o F,$D  0B Q 6D)))o''D,$D  0# T <ܔ> ,$  0 Dgitos del 12 : 1 2P ___)))B U s *Dg I ,$D   0B V s *D F ,$D   0B W s *D! M ,$D  0B X s *DQ O,$D  0B Y s *Di > ,$D  0 ݄ <}> l,$  0 :(Clic)V  0޽h ?"` 33ES=S___PPT10S.KP+OGDQ' >= @B D\Q' = @BA?%,( < +O%,( < +DP' =%(%(D ' =%(D' =A@BB3BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*F%(D' =-g6B fade*<3<*F)?D' =0l9 BB A AHCC*<3<*F)?D' =0l9 BBHCCBB*<3<*F%()?D' =1:B (0.5)*Y3>B ppt_x<*FD ' =+4 . B (0.5)0B(#ppt_x)*Y3>B ppt_x<*F%()?D' =1:B(#ppt_y+0.4)*Y3>B ppt_y<*FD' =+4 . B(#ppt_y+0.4)0B(#ppt_y)*Y3>B ppt_y<*F%()?D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*A%(D' =-s6Bwipe(left)*<3<*AD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*A7%(D' =-s6Bwipe(left)*<3<*A7D' =%(pDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*A7\%(D' =-s6Bwipe(left)*<3<*A7\D' =%(@DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*A\u%(D' =-s6Bwipe(left)*<3<*A\uD' =%('DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*B%(D' =-s6Bwipe(left)*<3<*BD' =%(.DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*B%(D' =-s6Bwipe(left)*<3<*BD' =%(0DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*B%(D' =-s6Bwipe(left)*<3<*BD' =%(2D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*U%(D' =-s6Bwipe(left)*<3<*UD' =%(6D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*H%(D' =-s6Bwipe(left)*<3<*HD' =%(:D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*V%(D' =-s6Bwipe(left)*<3<*VD' =%(>D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*I%(D' =-s6Bwipe(left)*<3<*ID' =%(hBD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =-s6Bwipe(left)*<3<*JD' =%(PFD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*W%(D' =-s6Bwipe(left)*<3<*WD' =%(8JD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-s6Bwipe(left)*<3<*LD' =%( ND7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*M%(D' =-s6Bwipe(left)*<3<*MD' =%(RD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*N%(D' =-s6Bwipe(left)*<3<*ND' =%(UDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-s6Bwipe(left)*<3<*DD' =%(]DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D-%(D' =-s6Bwipe(left)*<3<*D-D' =%(eDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D->%(D' =-s6Bwipe(left)*<3<*D->D' =%(`mDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-s6Bwipe(left)*<3<*TD' =%(0uDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-s6Bwipe(left)*<3<*TD' =%($wD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-s6Bwipe(left)*<3<*XD' =%( {D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*O%(D' =-o6Bwipe(up)*<3<*OD' =%(~D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*Y%(D' =-s6Bwipe(down)*<3<*YD' =%(܂D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-o6Bwipe(up)*<3<*PD' =%(ĆD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*Q%(D' =-o6Bwipe(up)*<3<*QD#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*݄%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*݄D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*݄+P+0+A0 ++0+B0 ++0+D0 ++0+F0 ++0+T0 ++0+݄0 +{ 0 HHfH(  ~F       `B  0LDg  ; ; `B  0LDg   `B  0LDg   `B  0LDg  3 3 `B  0LDg   `B  0LDg   `B   0LDg  + +`B   0LDg   `B   0LDg  { {`B   0LDg  # #`B   0LDg   `B  0LDg  s s`B  0LDg   `B  0LDg   `B  0LDg  k k`B  0LDg   `B  0LDg   `B  0LDg  c c`B  0LDg    `B  0LDg   `B  0LDg  [ [`B  0LDg   `B  0LDg   `B  0LDg  S S`B  0LDg   `B  0LDg   `B  0LDg  K K`B  0LDg  `B  0LDg  `B   0Dg  `B ! 0Dg   `B " 0Dg k k `B # 0Dg  `B $ 0Dg   `B % 0Dg s s `B & 0Dg  `B ' 0Dg # # `B ( 0Dg { { `B ) 0Dg  `B * 0Dg ++ `B + 0Dg  `B , 0Dg  `B - 0Dg 33 `B . 0Dg  `B / 0Dg  `B 0 0Dg ;; `B 1 0Dg  `B 2 0Dg  `B 3 0Dg CC `B 4 0Dg  `B 5 0Dg  `B 6 0Dg KK `B 7 0Dg  `B 8 0Dg  `B 9 0Dg SS `B : 0Dg  `B ; 0Dg  `B < 0Dg [[ `B = 0Dg  `B > 0Dg    `B ? 0Dg cc `B @ 0Dg   A <>Z4 H Lo primero consistir en trazos de lneas horizontales por los dgitos del  multiplicando , separados oportunamente:uu B <P>6u " vDgitos del 123 : 1 2 3@  ___ C <\>P, zLuego, trazos verticales por los dgitos del  multiplicador :>> D 0D>u c,$   0 :Llevemos ese pequeo grfico a otra rea del fondo cuadriculado (slo aqu para ver ms claro el desarrollo que pretendemos) y Sumemos los puntos de interseccin de los Grupos situados oblicuamente:X@:J E <>1 W x123 x 12T XB F 0DMMMo[o T[XB G 0DMMModp UdXB H 0DMMMon SXB I 0DMMMoq VXB J 0DMMMoo TXB K 0DMMMowm RwXB L 0D)))o EXB M 0D)))o FXB N 0D)))o''D O <D   Dgitos del 12 : 1 2P ___)))RB P s *Dg I RB Q s *D F RB R s *D! M RB S s *DQ O6 U <P  ! ,$  0 bAhora veamos cuntos puntos de interseccin se dan entre las lneas verticales y las horizontales:ccFz  V  D,$D   0n2 W 0"`L@n2 X 0"`i@n2 Y 0"`_Ln2 Z 0"`i_n2 [ 0"`Ln2 \ 0"`i2 ] 0"`A z,$D  0nz  =Bv ^ = Bv,$D  0n2 _ 0"` = vn2 ` 0"` =BvZz  GB a G B,$D   0n2 b 0"` G n2 c 0"` GBn2 d 0"`  n2 e 0"` Bnz  F  f F ,$D  0n2 g 0"` F n2 h 0"`  z    i  ,$D   0n2 j 0"`  n2 k 0"`  <n2 l 0"` [ Lz   m  ,$D  0`B n 0DMMMo `B o 0DMMMo `B p 0DMMMo DD`B q 0DMMMo OO`B r 0DMMMo `B s 0DMMMo `B t 0D)))oQ Q `B u 0D)))oWW`B v 0D)))oN  w =2n2 x 0"`L@n2 y 0"`i@n2 z 0"`_Ln2 { 0"`i_n2 | 0"`Ln2 } 0"`in2 ~ 0"`2 k BN  =Bv  ;n2  0"` = vn2  0"` =Bv.N  GB  ;`n2  0"` G n2  0"` GBn2  0"`  n2  0"` BBN  F   2 k _n2  0"` F n2  0"`  N     5 3n n2  0"`  n2  0"`  <n2  0"` [ B @ 0D1Px,$D  0B @ 0D1X,$D  0B @ 0D18`X ,$D  0B @ 0D1\ ,$D  0  T "`Lr ,$  0 @ 1 4 7 6    BD" jJm,$D  0 '}Colocados desde su orden de inicio, leeramos: 1 4 7 6, es decir, 1.476 que es el resultado de la operacin: 123 x 12 = 1.476~/ % ^   B5CDE(FA> D?, {fp5 @   S"   H ,$D  0RB T s *Di >   <- ,$  0 :(Clic)V  0޽h ?"` 33?U7U___PPT10U.KP+DS' F = @B DS' = @BA?%,( < +O%,( < +DR' =%(%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*U%(D' =-s6Bwipe(left)*<3<*UD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*UD%(D' =-s6Bwipe(left)*<3<*UDD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*UDc%(D' =-s6Bwipe(left)*<3<*UDcD' =%(pD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D*' =%(@D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*]%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*]D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*]D*' =%((#D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*^%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*^D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*^D*' =%('D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*f%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*fD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*fD*' =%(*D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*a%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*aD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*aD*' =%(.D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*i%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*iD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*iD*' =%(2D' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*V%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*VD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*VD' =%(6DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D@%(D'  =-s6Bwipe(left)*<3<*D@D' =%(hBDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D@}%(D'  =-s6Bwipe(left)*<3<*D@}D' =%( NDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D}%(D'  =-s6Bwipe(left)*<3<*D}D*' =%(YD' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*m%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*mD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*mD' =%(aD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(eD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(xiD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(`mD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(HqD@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(0uD@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(yD@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(}D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* DA' =%(D' =A@BBB B0B%()))D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(ЄDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H%(D' =-s6Bwipe(left)*<3<*HD' =%(XDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H~%(D'  =-s6Bwipe(left)*<3<*H~D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*++0+D0 ++0+U0 ++0+0 ++0+0 ++0+0 +f 0L0 %%Yr%(  XB  0LDg ; ; XB  0LDg   XB  0LDg   XB  0LDg 3 3 XB  0LDg  XB  0LDg  XB  0LDg + +XB  0LDg  XB  0LDg { {XB  0LDg # #XB  0LDg  XB  0LDg s sXB  0LDg  XB  0LDg  XB  0LDg k kXB  0LDg  XB  0LDg  XB  0LDg c cXB  0LDg    XB  0LDg  XB  0LDg [ [XB  0LDg  XB  0LDg  XB  0LDg S SXB  0LDg  XB  0LDg  XB  0LDg K KXB  0LDg  XB  0LDg  XB  0Dg  XB  0Dg   XB ! 0Dg k k XB " 0Dg  XB # 0Dg   XB $ 0Dg s s XB % 0Dg  XB & 0Dg # # XB ' 0Dg { { XB ( 0Dg  XB ) 0Dg ++ XB * 0Dg  XB + 0Dg  XB , 0Dg 33 XB - 0Dg  XB . 0Dg  XB / 0Dg ;; XB 0 0Dg  XB 1 0Dg  XB 2 0Dg CC XB 3 0Dg  XB 4 0Dg  XB 5 0Dg KK XB 6 0Dg  XB 7 0Dg  XB 8 0Dg SS XB 9 0Dg  XB : 0Dg  XB ; 0Dg [[ XB < 0Dg  XB = 0Dg    XB > 0Dg cc XB ? 0Dg  8l   m ,$D  0ZB @ s *DԔ ZB A s *DԔ l    n ,$D  0ZB B s *DԔ  ZB C s *DԔ T TZB D s *DԔ  ^l    o ,$D  0ZB E s *DԔ  ZB F s *DԔ   ZB G s *DԔ d dZB H s *DԔ  ZB I s *DԔ  l   $ p $,$D  0ZB J s *DԔ  ZB K s *DԔ t tZB L s *DԔ  ZB M s *DԔ $ $8l  ,  q, ,$D  0ZB N s *DԔ , ,ZB O s *DԔ  B P s *DԔ  ,$D  0 h Bp o}Pn ,$D  0 ]yHagamos ahora algo ms complejo. Por ejemplo, multipliquemos: 235.421 x 253.722 que da como resultado: 59.731.486.962z-fff  i <  `M,$  0 i3Tracemos las lneas horizontales del Multiplicando:44 j <d mU ,$   0 P2 3 5 4 2 1 r <X  6 ,$  0 :(Clic)V  0޽h ?"` 33??___PPT10?.KP+rDDt>'  = @B D/>' = @BA?%,( < +O%,( < +Df=' =%(%(DA' =%(D' =A@BBB B0B%()))D' =1:Bvisible*o3>+B#style.visibility<*h%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*hD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*hD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h!%(D' =-s6Bwipe(left)*<3<*h!D' =%( DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h!>%(D' =-s6Bwipe(left)*<3<*h!>D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h>S%(D' =-s6Bwipe(left)*<3<*h>SD' =%(XDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*hSj%(D' =-s6Bwipe(left)*<3<*hSjD' =%((#DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*hjz%(D' =-s6Bwipe(left)*<3<*hjzD' =%(*DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i%(D' =-s6Bwipe(left)*<3<*iD' =%(2DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i!%(D' =-s6Bwipe(left)*<3<*i!D' =%(6DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i!4%(D' =-s6Bwipe(left)*<3<*i!4D' =%(>DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(t@DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(hBDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j %(D' =-s6Bwipe(left)*<3<*j D' =%(\DDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j %(D' =-s6Bwipe(left)*<3<*j D' =%(PFDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(DHDD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(8JD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*m%(D' =-s6Bwipe(left)*<3<*mD' =%( ND7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*n%(D' =-s6Bwipe(left)*<3<*nD' =%(RD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*o%(D' =-s6Bwipe(left)*<3<*oD' =%(UD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-s6Bwipe(left)*<3<*pD' =%(YD7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*q%(D' =-s6Bwipe(left)*<3<*qD' =%(]D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-s6Bwipe(left)*<3<*PD#' =%(aD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*r%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*rD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*r++0+h0 ++0+i0 ++0+j0 ++0+r0 +m[ 0L0 // qtH/(  XB  0LDg ; ; XB  0LDg   XB  0LDg   XB  0LDg 3 3 XB  0LDg  XB  0LDg  XB  0LDg + +XB  0LDg  XB  0LDg { {XB  0LDg # #XB  0LDg  XB  0LDg s sXB  0LDg  XB  0LDg  XB  0LDg k kXB  0LDg  XB  0LDg  XB  0LDg c cXB  0LDg    XB  0LDg  XB  0LDg [ [XB  0LDg  XB  0LDg  XB  0LDg S SXB  0LDg  XB  0LDg  XB  0LDg K KXB  0LDg  XB  0LDg  XB  0Dg  XB  0Dg   XB ! 0Dg k k XB " 0Dg  XB # 0Dg   XB $ 0Dg s s XB % 0Dg  XB & 0Dg # # XB ' 0Dg { { XB ( 0Dg  XB ) 0Dg ++ XB * 0Dg  XB + 0Dg  XB , 0Dg 33 XB - 0Dg  XB . 0Dg  XB / 0Dg ;; XB 0 0Dg  XB 1 0Dg  XB 2 0Dg CC XB 3 0Dg  XB 4 0Dg  XB 5 0Dg KK XB 6 0Dg  XB 7 0Dg  XB 8 0Dg SS XB 9 0Dg  XB : 0Dg  XB ; 0Dg [[ XB < 0Dg  XB = 0Dg    XB > 0Dg cc XB ? 0Dg  RB @ s *DԔ RB A s *DԔ RB B s *DԔ RB C s *DԔT TRB D s *DԔ RB E s *DԔ RB F s *DԔ   RB G s *DԔd dRB H s *DԔ RB I s *DԔ RB J s *DԔ RB K s *DԔt tRB L s *DԔ RB M s *DԔ$ $RB N s *DԔ, ,RB O s *DԔ RB P s *DԔ  Dl   q ,$D  0`B Q 0ZDԔ `B R 0ZDԔ Dl T  pT ,$D  0`B S 0ZDԔ `B T 0ZDԔTT Ll <L  o<L ,$D   0`B U 0ZDԔLL `B V 0ZDԔ `B W 0ZDԔ `B X 0ZDԔDD `B Y 0ZDԔ `B Z 0ZDԔ `B [ 0ZDԔ<< l 4  n4 ,$D   0`B \ 0ZDԔ44 `B ] 0ZDԔ `B ^ 0ZDԔ |l  |  l | ,$D   0`B _ 0ZDԔ| | `B ` 0ZDԔ$ $ `B a 0ZDԔ `B b 0ZDԔt t `B c 0ZDԔ  Dl    k  ,$D   0`B d 0ZDԔ  `B e 0ZDԔ  h < mU  P2 3 5 4 2 1 i < U  ,$  0 t@Y ahora los del  multiplicador :!! j <\  S;*,$  0 P2 5 3 7 2 2 r < +  ,$  0 :(Clic) s BNr o}Pn  ]yHagamos ahora algo ms complejo. Por ejemplo, multipliquemos: 235.421 x 253.722 que da como resultado: 59.731.486.962z-fff t <LdN  `M i3Tracemos las lneas horizontales del Multiplicando:44V  0޽h ?"` 337+/+___PPT10+.KP+:&:D;*' # = @B D)' = @BA?%,( < +O%,( < +D-)' =%(%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i%(D' =-s6Bwipe(left)*<3<*iD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i!%(D' =-s6Bwipe(left)*<3<*i!D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%( DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%( DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j %(D' =-s6Bwipe(left)*<3<*j D' =%( DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j %(D' =-s6Bwipe(left)*<3<*j D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-s6Bwipe(left)*<3<*jD' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*k%(D' =-o6Bwipe(up)*<3<*kD' =%(pD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D' =-o6Bwipe(up)*<3<*lD' =%(XD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*n%(D' =-o6Bwipe(up)*<3<*nD' =%(@D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*o%(D' =-o6Bwipe(up)*<3<*oD' =%((#D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-o6Bwipe(up)*<3<*pD' =%('D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*q%(D' =-o6Bwipe(up)*<3<*qD#' =%(*D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*r%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*rD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*r++0+i0 ++0+j0 ++0+r0 +d 0L0 P^(  \XB \ 0LDg ; ; XB \ 0LDg   XB \ 0LDg   XB \ 0LDg 3 3 XB \ 0LDg  XB \ 0LDg  XB \ 0LDg + +XB  \ 0LDg  XB  \ 0LDg { {XB  \ 0LDg # #XB  \ 0LDg  XB  \ 0LDg s sXB \ 0LDg  XB \ 0LDg  XB \ 0LDg k kXB \ 0LDg  XB \ 0LDg  XB \ 0LDg c cXB \ 0LDg    XB \ 0LDg  XB \ 0LDg [ [XB \ 0LDg  XB \ 0LDg  XB \ 0LDg S SXB \ 0LDg  XB \ 0LDg  XB \ 0LDg K KXB 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"`>,$2  0 K+$   ZR T> "`@[,$:  0 K+$3   [R TXF "`Q *,$*  0 K+$3   \R TI "`P,$4  0 K+$   ]R T|5 "`N,$<  0 K+$3   ^R TP "`P[,$B  0 K+$   _R TT "`l Y ,$,  0 K+$3   `R TX "` *\ ,$6  0 K+$   aR T] "`[ ,$>  0 K+$3   bR T\ "`Y ,$D  0 K+$   cR T8d "`[[ ,$H  0 K+$3   dR <i   KTracemos los puntos de interseccin entre lneas Verticales y Horizontales:LL eR <l SM |He dado colores distintos a cada Grupo alterno, para seguir luego mejor las relaciones diagonales, y operar mejor las Sumas.}}( fR <0s Z 0  lHaz ahora  Clic , para eliminar el fondo cuadriculado.47 (] gR <x V F ,$  0 Tendremos que hacer ahora la Suma de los Puntos de interseccin, y para este fin aparecen unas lneas que facilitan el recuento diagonal: iR <~ d ,$M  0 Tras la aparicin de todas esas lneas oblicuas, hagamos un nuevo  Clic para avanzar a otra diapositiva, pero ya sin las Lneas Rojas y Azules, a fin de quedarnos tan slo con lo que va a ser el recuento de intersecciones.4C jR <2  x ,$  0 @ Mira arriba: V P 0޽h ?"` 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=1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(pD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(dD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(XD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(LD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*@bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*@bD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Eb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*EbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*EbD' =%(@D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(4!D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%((#D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(%D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%('D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*%bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*%bD' =%()D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ab%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*AbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*AbD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Fb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*FbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*FbD' =%(*D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(,D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(.D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(0D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* bD' =%(2D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*$bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*$bD' =%(4D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*+bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*+bD' =%(6D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Bb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*BbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*BbD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Gb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*GbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*GbD' =%(8D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(:D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(<D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*!b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*!bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*!bD' =%(>D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*&b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*&bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*&bD' =%(t@D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<**b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<**bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<**bD' =%(hBD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Jb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*JbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*JbD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*0bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*0bD' =%(\DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*bD' =%(PFD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*"b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*"bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*"bD' =%(DHD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*'b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*'bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*'bD' =%(8JD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*,bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*,bD' =%(,LD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*2b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*2bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*2bD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Kb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*KbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*KbD' =%( ND' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*#b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*#bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*#bD' =%(PD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*(bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*(bD' =%(RD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*-b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*-bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*-bD' =%(SD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*3b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*3bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*3bD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Lb%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LbD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*LbD' =%(UD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*)b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*)bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*)bD' =%(WD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*.b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*.bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*.bD' =%(YD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*4bD' =%([D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*/b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*/bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*/bD' =%(]D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*5b%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*5bD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*5bD#' =%(_D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ob%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*ObD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*Ob+@ +0+ b0 ++0+ b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+b0 ++0+ b0 ++0+!b0 ++0+"b0 ++0+#b0 ++0+$b0 ++0+%b0 ++0+&b0 ++0+'b0 ++0+(b0 ++0+)b0 ++0+*b0 ++0++b0 ++0+,b0 ++0+-b0 ++0+.b0 ++0+/b0 ++0+0b0 ++0+2b0 ++0+3b0 ++0+4b0 ++0+5b0 ++0+6b0 ++0+>b0 ++0+?b0 ++0+@b0 ++0+Ab0 ++0+Bb0 ++0+Cb0 ++0+Db0 ++0+Eb0 ++0+Fb0 ++0+Gb0 ++0+Jb0 ++0+Kb0 ++0+Lb0 ++0+Ob0 +o 0L0 ! !0 (  FF g-  g-N g  gn2  0"`Wn2  0"`tn2  0"`n2  0"`(an2  0"`~n2   0"`n2   0"`.gN g   g%n2   0"`Wn2   0"`tn2  0"`n2  0"`(an2  0"`~n2  0"`n2  0"`.gN g  Dg}n2  0"`Wn2  0"`tn2  0"`n2  0"`(an2  0"`~n2  0"`n2  0"`.gN g  gn2  0"`Wn2  0"`tn2  0"`n2  0"`(an2   0"`~n2 ! 0"`n2 " 0"`.gN g # g-n2 $ 0"`Wn2 % 0"`tn2 & 0"`n2 ' 0"`(an2 ( 0"`~n2 ) 0"`n2 * 0"`.gF !j< + !j<T g ,# !j6n2 - 0"`Wn2 . 0"`tn2 / 0"`n2 0 0"`(an2 1 0"`~n2 2 0"`n2 3 0"`.gT g 4# !Sjn2 5 0"`Wn2 6 0"`tn2 7 0"`n2 8 0"`(an2 9 0"`~n2 : 0"`n2 ; 0"`.gT g <# !jn2 = 0"`Wn2 > 0"`tn2 ? 0"`n2 @ 0"`(an2 A 0"`~n2 B 0"`n2 C 0"`.gT g D# !j<n2 E 0"`Wn2 F 0"`tn2 G 0"`n2 H 0"`(an2 I 0"`~n2 J 0"`n2 K 0"`.gF h L hT g M# hJn2 N 0"`Wn2 O 0"`tn2 P 0"`n2 Q 0"`(an2 R 0"`~n2 S 0"`n2 T 0"`.gT g U# ihn2 V 0"`Wn2 W 0"`tn2 X 0"`n2 Y 0"`(an2 Z 0"`~n2 [ 0"`n2 \ 0"`.g( F oV ] hT g ^# on2 _ 0"`Wn2 ` 0"`tn2 a 0"`n2 b 0"`(an2 c 0"`~n2 d 0"`n2 e 0"`.gT g f# n2 g 0"`Wn2 h 0"`tn2 i 0"`n2 j 0"`(an2 k 0"`~n2 l 0"`n2 m 0"`.gT g n# Vn2 o 0"`Wn2 p 0"`tn2 q 0"`n2 r 0"`(an2 s 0"`~n2 t 0"`n2 u 0"`.gF }f  v }f T g w# }fn2 x 0"`Wn2 y 0"`tn2 z 0"`n2 { 0"`(an2 | 0"`~n2 } 0"`n2 ~ 0"`.gT g # f n2  0"`Wn2  0"`tn2  0"`n2  0"`(an2  0"`~n2  0"`n2  0"`.gL g # o i n2  0"`Wn2  0"`tn2  0"`n2  0"`(an2  0"`~n2  0"`n2  0"`.g F   .   .n2  0"` 8 n2  0"`U  n2  0"`  n2  0"` B n2  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