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Koszt [redni wyszukiwania1Operacja minimum w BST /T34>  ` @ ff3Ιd332z` @ ff3Ιd332z` 999MMM` fffPP3f>?" dd@ ?4Zd@ d " @ ` n?" dd@   @@``@n?" dd@  @@``PV    @ ` ` p>>  K0  D(  F   `  0PPf  c 6AminispirlB  <g   H, 1Ȝ? p`  TKliknij, aby edytowa styl tytuBu z Wzorca++  c $ԫ p  Kliknij, aby edytowa style tekstu z Wzorca Drugi poziom Trzeci poziom Czwarty poziom Pity poziom,  c  c $ p    X* 2    c $     Z*(2    c $    Z*(2 XB   0D`Z  BsZ޽h))?? @ ff3Ιd332z Notatnik&  K0 0 <(   FF       XA StationeryPP`   S 0AminispirH  < C ?^~  ALGORYTMY I STRUKTURY DANYCHKliknij, aby edytowa styl tytuBu z WzorcaGG  c $E 3    ZKliknij, aby edytowa styl podtytuBu z Wzorca..  c $J ^#  X* 2f   c $N ^~#   Z*(2f   c $`S ~#  Z*(2f Z  BsZ޽h))?? @ ff3Ιd332z| 0 p( F0E,   0̝ P    T*   0(     V* d  c $ ?    0H  @  Kliknij, aby edytowa style wzorca tekstu Drugi poziom Trzeci poziom Czwarty poziom Pity poziom*  a  6 `P   T*   6 `   V* H  0޽h ? ̙3380___PPT10."1 K0  (  l  C l^ ^~  l  C @_ 3    H  0޽h ? @ ff3Ιd332z   K0 @@4(  @l @ C ܆ p`    @ S Լ0   " PpH @ 0޽h ? @ ff3Ιd332z#R  K0 QIP") ( q@G@ l  C ҂ p`     3 ZwG UNd)?DefinicjeArial Black$ k !2PP   0ނ P0,$  0 VSystem relacyjny postaci < V, E>, gdzie V jest dowolnym niepustym zbiorem , a E relacj binarn w V, nazywamy grafem zorientowanym. 2 ,  0  ,$  0 Drog w grafie G = <V,E> nazywamy cig wierzchoBkw v1, v2,...vk , taki, |e (vi, v i+1) E dla i<k.d 25       d  VAPapeteria,$D  0 K 2 l @ !@,$D  0fB B 6Dp   0@ n(Zbir wierzchoBkw  2 l z "z,$D  0fB  6D  0Dz bZbir krawdzi 2   0D 0 z,$  0 ZGraf niezorientowany 2   0 z,$  0 Y Graf spjny 2    0 `z,$  0 UGraf acykliczny 2 l 0  $0 ,$D  0f2  6 `P f2  6@  f2  6p  f2  6@ P f2   6p 0 lB   <D` @ lB   <D0P  lB  B <DP 0p lB   <D p lB  <D  f2  6p@lB  <D0 lB  <Dp0 lB  <Dp@ `2 # 0pt ' 60 ,$D  0 Gdy relacja E jest symetryczna bdziemy mwili o grafie niezorientowanym.J 2J J ( 60 ,$D   0 Gdy dowolne dwa wierzchoBki s poBczone drog, to mwimy, |e graf jest spjny.P 2P PZ ) 60 `,$D   0 xJe[li graf nie posiada cyklu, to mwimy, |e jest acykliczny.= 2= =H  0޽h ? @ ff3Ιd332zb8Z8___PPT10:8+_wD&6' = @B D5' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*!D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*!Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*"%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*"D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*"D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bbox(out)*<3<*$D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*dD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*dD' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %((/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(D`' =A@BBB B0B%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*'E' =4 B`BPB`B?<* %(-/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =-6B+checkerboard(across)*<3<*'D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(2/%,( < +D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bbox(out)*<3<* D' =%(D' =%(D`' =A@BBB B0B%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*(E' =4 B`BPB`B?<* %(7/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B+checkerboard(across)*<3<*(D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(</%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(D`' =A@BBB B0B%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*)E' =4 B`BPB`B?<* %(A/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*)%(D' =-6B+checkerboard(across)*<3<*)++0+ ++0+ ++0+ ++0+ ++0+ ++0+ ++0+' ++0+( ++0+) +  K0 NF( o%n%. l  C 8 p`   ^  V<:APapeteriap`,$D  0 DGraf niezorientowany nazywamy drzewem wttw jest spjny i acykliczny.E 2E&&L  3 ZwG UNd)?TwierdzenieArial Black$ k !2P` ,$D  0x  <? ,$D 0 xNiech G = <V, E> bdzie niezorientowanym grafem. Wtedy nastpujce zdania s rwnowa|ne: (1) G jest drzewem, (2) Midzy dowolnymi dwoma wierzchoBkami istnieje dokBadnie jedna prosta droga, (3) G jest spjny, ale po usuniciu dowolnej krawdzi otrzymujemy graf niespjny, (4) G jest spjny i ma card(V)-1 krawdzi, (5) G jest acykliczny i ma card(V) -1 krawdzi, (6) G jest acykliczny, ale dodanie dowolnej krawdzi prowadzi do grafu z cyklem. 2&VaH  0޽h ? @ ff3Ιd332z  ___PPT10 +I3SD` ' = @B D ' = @BA?%,( < +O%,( < +D{' =%(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<*D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %( /%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(DP' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B#blinds(vertical)*<3<*+p+0+ ++0+ ++  K0   ' (  l  C LQ p`   l    ,$D  0~B B ND? @   <LS  dReferencja do lewego poddrzewa 2 l p Z  p Z ,$D  0~B   ND?p@   <DXp Z  eReferencja do prawego poddrzewa 2  l @ @  @@,$D  0  6x\P@ Ket(v)   60aP` Rlewy   6e`@ Sprawy    <j@ @ Ev 2 rB   BDP  NsA)P p ,$  0 Public class node { public etykieta e; public node lewy, prawy ; public node(etykieta e) { this.e = e; lewy = null; prawy = null; } } 2    bkAPapeteria@ 0 z,$D 0 B W zastosowaniu: node root = null; root = New node (a);,C 21H  0޽h ? @ ff3Ιd332z___PPT10+D' = @B D' = @BA?%,( < +O%,( < +Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(!/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*+p+0+ ++0+ +"  K0     (  n@T@ l  C ̍ p`   l p  p ,$D  0  H  ` M E = et(v)     Bp Ev 2 xB  HD  H `0 Fs1   Hx0`@ Q...   H,@`  TskxB  B HD xB   HDP xB   HD0  0 >  < ` `  ,$  0 XTablica referencji do synw tego wierzchoBka- 2- -  NA)P `z,$  0 KPublic class node { public etykieta e; public node s[ ] ; public node(etykieta e, int k) { this.e = e; s = New node[k]; for (i=0; i+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<*D{' =%(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<* -D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D|' =%(D$' =A@BBB B0B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*+p+0+  ++0+ +Z  K0 ..99-( Zi l  C 4 p`     VºAPapeteria ,$D  0 T{ // q = kolejka q := in(a,q); while not empty(q) do v := first(q); q := out(q); if (not empty(v.lewy)){ q := in(v.lewy);} if (not empty(e.prawy)){ q := in(v.prawy);} //wypisz v.warto[ od} 2*         <ƺ  8Rozwa|my nastpujcy program >  0`к @z,$  0 dNiech a bdzie korzeniem pewnego drzewa binarnego3 23 3z     ` @,$D  0  0Tպ    Pa  2   6غ  Twarto[    6xݺ   Jlewy    6p   Kprawy fB   6D 0 0  z       ,$D  0`B  B 0D P `B  0D 0 2  6p  P  O1 2  6hp p  O2 2  6   O3 2  6   O4 2  6@ `  O5 2  6@   O6 2  64   O7 `B B 0D p p `B  0Dp 0 `B B 0D 0 `B  0D`  2  6P  O8 2  6X0 O9 `B B 0D p`B  0D `  3 W3yd?Wynik :Impact ,$D  0  0D  ,$  0 U1 2 3 4 5 6 7 8 9 2 2  6  ,$D  0 O1 2 ! 6D P ,$D  0 O2 2 " 6! @P ,$D  0 O3 2 # 6&P  ,$D   0 O3 2 $ 6*P @ ,$D   0 O4 2 % 6$/P @ ,$D   0 O5 2 & 63 p ,$D   0 O4 2 ' 68 @p ,$D   0 O5 2 ( 6= @p ,$D  0 O6 2 ) 6hB `p ,$D  0 O7 2 * 6HG 0 ,$D  0 O5 2 + 6L @0 ,$D  0 O6 2 , 6(Q @0 ,$D  0 O7  z  ` @  - ` @ ,$D  02 . 6`V `   O6 2 / 6[` @  O7 z     0   ,$D  02 1 6`    O7 2 2 6e @  O8 2 3 6jp   O9  z   @@ 4  @@,$D  02 5 6lo  @ O8 2 6 6s @@ O9 2 7 6xxp ,$D  0 O9  8 3 W3yd?KolejkaImpact   9 S ZwG UNd)?wszerzArial Black$ k !2Hy H  0޽h ? @ ff3Ιd332zkk___PPT10k+0 !Dg' = @B Dg' = @BA?%,( < +O%,( < +D{' =%(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<*D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*3%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*3D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*3Dn' =%(D' =%(D' =4@BBBB%(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<*Dn' =%(D' =%(D' =4@BBBB%(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<* D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D{' =%(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<* D{' =%(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<*!D{' =%(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<*"D{' =%(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<*#D{' =%(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<*$D{' =%(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<*%D{' =%(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<*&D{' =%(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<*'D{' =%(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<*(D{' =%(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<*)D{' =%(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<**D{' =%(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<*+D{' =%(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<*,Dn' =%(D' =%(D' =4@BBBB%(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<*-Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*0D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*0Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*7%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*7D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*7D{' =%(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+ ++0+ ++0+ ++0+  ++0+! ++0+" ++0+# ++0+$ ++0+% ++0+& ++0+' ++0+( ++0+) ++0+* ++0++ ++0+, ++0+7 +F  K0 .1&1<=0(  l  C ح p`     VAPapeteria 0@ ,$D  0 2{ q := in(a,q); while not empty(q) do e := first(q); q := out(q); if (not empty(e.lewy){ q :=in(e.lewy);} if (not empty(e.prawy){ q := in(e.prawy);} //wypisz e.warto[ od} 2*          VԺAPapeteria0@ j ,$D  0 {// q = stos q := in(a,q); while not empty(q) do v := top(q); q := pop(q); if (not empty(v.lewy)){ q :=push(v.lewy);} if (not empty(v.prawy)){ q := push(v.prawy);} //wypisz v.warto[ od} 21     ! z     ,$D  0`B B 0D P `B  0D 0 2  6  P  O1 2   6|p p  O2 2   6   O3 2   6   O4 2   6  `  O5 2   6h@   O6 2  6   O7 `B B 0D p p `B  0Dp 0 `B B 0D 0 `B  0D`  2  6d O8 2  60 O9 `B B 0D p`B  0D `z     ,$D  0  0   Oa 2 xB  HDԔ P  3 W3yd?Stos:Impact@ ,$D  02  6P ` ` ,$D  0 O1  z   `    ` ,$D   02  6D `  O2 2  6\   O3   3 W3yd?Wyniki :Impact  @,$D  0  0 P ` p,$D  0 E1 2  ! 0P ` P p,$D  0 E3 2 z P P `  " P P ` ,$D   02 # 6`P `  O2 2 $ 6<P    O6 2 % 6P P   O7  & 0DP P p,$   0 E7 2  z @ `  '  @` ,$D   02 ( 6 @ `  O2 2 ) 6%@   O6  * 0D)P @p,$  0 E6 2 2 + 6$- ` ,$D  0 O2  , 0l2P p,$  0 E2 2  z   `  -  ` ,$D  02 . 66  `  O4 2 / 6X;    O5 z 0P `  0 P 0` ,$D  02 1 6<@0 `  O2 2 2 64E0   O8 2 3 6|J0P   O9  4 0OP 0 p,$  0 E9 2  z   `  5  ` ,$D  02 6 64T  `  O2 2 7 6|X    O8  8 0\P p,$  0 E8 2  9 0`P  p,$  0 E5 2 2 : 6_ P` ,$D  0 O4  ; 0iP @p,$  0 E4 2  < S ZwG UNd)?W gBbArial Black$ k !20@ H  0޽h ? @ ff3Ιd332zll___PPT10l+cDTi' = @B Di' = @BA?%,( < +O%,( < +D{' =%(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<*D{' =%(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<*Dn' =%(D' =%(D' =4@BBBB%(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<*D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %(/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D{' =%(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<*D' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %('/%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D+' =%(D' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* Dn' =%(D' =%(D' =4@BBBB%(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<*D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =-o6Bdissolve*<3<*!Dn' =%(D' =%(D' =4@BBBB%(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<*"D{' =%(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<*&Dn' =%(D' =%(D' =4@BBBB%(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<*'D{' =%(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<**Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*0D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*0D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*5%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*5D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*5D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8D{' =%(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<*+D{' =%(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<*,Dn' =%(D' =%(D' =4@BBBB%(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<*-D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*9%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*9D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*9D{' =%(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<*:D{' =%(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+ ++0+ ++0+ ++0+  ++0+! ++0+& ++0+* ++0++ ++0+, ++0+4 ++0+8 ++0+9 ++0+: ++0+; 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@ ff3Ιd332z  ___PPT10 +7 D` ' = @B D ' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*N%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*ND' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*ND' =%(Do' =%(D' =4@BBB B%(E' =4 B`BPB`B?<* %( /%,( < +D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(DP' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B#blinds(vertical)*<3<*+p+0+ ++0+ +  K0 \T( > l  C  p`    z `   @ ,$D  02  6=   E6 `B B 0D0 c2 2  6`p2 0  F10 2  6HZ @ E8 2  6 V  E4 2   6 , p E2 2   6D0,  E5 `B   0D 2 `B  B 0D , `B   0D0 }, `B B 0Dp Z 2  6`   E1 2  6 @ E3 2  6@ E7 2  6 E9 2  6lP 6 F11 `B  0D@0`B B 0D `B B 0D@@`B  0D`B  0D0 PP   <P TSzukam 3 2    <Pp V Szukam 8.5 2     H8 G P @U 0U 0 Ipokaz H  0޽h ? @ ff3Ιd332z___PPT10+CcD|' = @B D7' = @BA?%,( < +O%,( < +Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*+&  K0   0! (  l  C & p`   N  6d(,$D  0 \Operacja dominujca = porwnywanie elementw.(/ 2. /x  <-0 ,$D 0 xNiech n = card(D.V). 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