
- Titel: Einfiuhrung in Algorithmen
- Organisation: UNI PADERBORN
- Seitenzahl: 86
Inhalt
- E F B GE E D B EE
- x R e t x
- v p v E bu qh h
- k h i l m B t D
- B CA ji l e
- r I E f pB
- t IP F r t t q
- I IP B B B B
- E P I S b I
- l EI pSB
- rF D E l E E t
- I G e c W S Y
- r P vt h s u
- RP I r I R G E
- t f qp ih gf ed
- p I x B j I
- Q I I API Q Q Q
- R B R R I B S
- I E S E p
- fg a b d c e
- x H x
- R y E C m
- ep fw PA tS v ut u
- Cu y x
- VI S e WUUa e
- ihfgec d V YW U
- V G VI S WUvG
- T A aR R EU Y
- aR Y FU UR a A
- T a bV x x
- s V ED ywUV i I
- x x x j j f
- x x x j f j
- E Vii e QQavg
- B E w E w
- E w E wx E x
- ah ÄWnr V Y V VI
- V Y V VI ah ÄWUS
- GI V g Q d F
- Vg hf c E Q E
- E V g V R hpu V
- E Vi f WUac e
- V Y ei H aUaQp
- E V R H VI ahpWUS
- E Vi f Wac e
- RI R gI Y WvUWpT
- Q e f h f
- G V GI V g S nQ h
- UawGvWVUf R H R I g I
- WU Y A T C r
- B Wt Y A T U
- v R HEWa A
- gV IV Y hQ h
- Ein minimalspannender Baum
- qVrAq x Y
Vorschau
! ©1 © © ! ¤¢Et”(“© ¤¡ $ § ! ¡ y! © x ¥ u ‘ § (¢7″¢wv¦ts
#
p ` ¦a@ d U eb ihHA F Dr ` q g f
d b ` Q U S A @ Q F I G DF B A A ecG a@ I YWVTRCA PCHEC@ 9
8 § 3 © ! ¡ 4 ! 3 2 1 )’ % ¦76(¢5¦0(! &$
#
! ¡ © § § ¥ £ ¡ “© ¤¨¢¦¤¢
A
{
@ $
f o FF’FFG’FF’FFG’FF’FF’GB 7E£ 7¦¤0¡7E¥ 6’ 7¦¦) B B B B B B B B B B B B B B B B B B B B B B ¥1¥ © § ‘1 ¡! ) t gfP A o FF’FFG’FF’FFG’FF’FF’GFFB 0©¨¢(¦) % p7 % 3 ¢¥ P B B B B B B B B B B B B B B B B B B B B B B B y¡! ¥ k B B B B B B B B B B B B B B B §© x § ‘©!8 § x § © y¡! pFF’FFG’FF’FFG’B ¦¦©677¤¦63¦¨¢¥ ¦x 0©¨¢7cu ¢¥ P B f B B B B B B B B B B B B B B B B B B B B B B B y¡! 1 3 R CFF’FFG’FF’FFG’FF’FF’GFFB 0©¨¢(Cu qh¥ e¢¥ P B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B § ‘1¥1 8FF’FFG’FF’FFG’FF’FF’GFF’FF’GFF’B ¤0¡7E7¢¡ S DAP B (2 b &` r ( & & g` d d 4e1865Cac690 3`85 r 3bih1ts AhFF’FFG’FF’FFG’FF’FF’B ¦¦(“©77″54 0©¢¥ % ¡ r B B B B B B B B B B B B B B B B B B B B B B 8 § 3! © y!© U B B B B B B B B B B B B B B B B B B B B B x§3¡ Rx§ R §¥ pzFF’FFG’FF’FFG’FF’FF’GB ¦¨¤HP¦¦34£ ¢(! B B U B B B B B B B B B B B B B B B B B B B B B B B B 8 § ¥ ! ¥ DAB B zFF’FFG’FF’FFG’FF’FF’GFF’B ¦6’ % p(1 % p U B B B B B B B B B B B B B B B B B B B B B B B B B B B B B § ‘ 1 ’ ! 3 B zFF’FFG’FF’FFG’FF’FF’GFF’FF’GFB © % 76(© A4zFF’FFG’FF’FFG’FF’FF’GFF’FF’GFB 0©6¢¥jI¢6¥”) $ DAB U B B B B B B B B B B B B B B B B B B B B B B B B B B B B B ‘2© $ ( 7 ~ & u pr 0 } | u ¨t( r F| 39t1( q5 )0c` ¨tS f B B B B B B B B B B B B B B B B B 8′ x § 1 ¡ lR u S 1 y x BU zFF’FFG’FF’FFG’FF’B 6¦¦¢ ¥ 6 ¤¢u¨t6’ uw u $ hgB B B B B B B B B B B B B B B B B B B ‘x§ ¡ R u S y w qFF’FFG’FF’FFG’FF’FB 08¦¦¢ ¥ 1 6¤¢ul¨t16’ uxh$ k DAhgUB B hFF’FFG’FF’FFG’FB © 0©¨¢(Cu “¢08¦¨¢ ¥ 166¤¢ulvu ‘0©6©¨)6© gUB B B B B B B B B B B B B B B B y¡! !© ‘ x § ¡ R S ‘ ‘ B B B 8 ‘ x § 1 ¡ l R S 1 t R § l © r ¡ q § ¡ l 2 1 ! © hgfB B FF’B 0¦¨¢ ¥ 66¤¢uWu ‘ 4$ s6’ YTR % &¡ x¤¢FE¥ $ “t o B B B B B B B B B B B ‘ ‘x§ ¡ R u S §¡l § ‘ ‘§© B p FF’BFFG’FF’FFB 61© % 08¦¦¢ ¥ 1 6¤5W4¨tn¤¢m¤0¡761¦¨t hgfB B B B B B B B B B B B B B B B § © § ¡ ‘ 3 x k © © ‘ ¡ i DAhgfB B FF’BFFG’FF’FFG’BFF’B ¤071 % ¦© ‘0 0¤§ j¤¡ u FF’FBFG’FF’FFG’BFF’FF’GFF’FB 01© % 08¦¦¢ ¥ 766¤5W4¨tS gfB B B B B B B B B B B B B B B B B B B B B B B B ‘ ‘x§ 1 ¡ R u B B B B B B B B 8 § 3 ! © ‘ ) d ! 3 8 § 3 x ‘ © £ § H ! © § ¡ 4 ! B ¢ FF’FFBG’FFB ¦(“0’ 671¦te¦2 ¦¦6¦(71 c”x ¤5(3 % ¨H ¢ t’7¢6 F©6¦x ¦¦3 6¨(¢¤¦6(3 ‘( 76¦6’ (“”71 (DtS u S © ¥ ‘ x § § © §’ £ ¥ 8 §’ ! © £ ‘ 1 ’ § ! © 1 © x £ ’ B B BBBBBB B BBBBB B A FF’FFG’BFF’FFG’B u SF©(¢6¥ ‘0©¦x ¦§¨3 “7”0©¦D(“54 DAB B ‘ x !©! ‘2 ‘!© BBBBBB BB BBBB BBBBB BB BBBBB A FF’FFG’FBF’FFG’FF’FBF’GFF’FFB’B tSF©7¢¥ G0©’ B u BBBBBB BBB BBB BBBBBB B BBBBBB A FF’FFG’FFB’FFG’FF’FFB’GFF’FF’BGB u 7¢¥ G0′ © © B FF’FFG’FF’BFFG’B 6§¦£ ¢¤§ (3 ”6§© E ¥ 01 0©¨¤¡ % 01© E DAB B B B B B B B B B B B B B © ‘ ¥ 8 ‘! !© ‘ 1 ‘ ) ‘ w 2 & u u ( pr 5 2 d b ` Y 5 & 2 u 2 r 0yx6fvit7s5 q6&igh60feca8 4WV U BFF’FFG’FF’FBFG’FF’FF’GFFB’FF’GFB BBBBB BBBBB B BBBBBBBB BB BBBB B TSGQ CA R B B BBBB BBBBBB BBBBBBBB BB FBF’FFG’FF’FFBG’FF’FF’GFFB B I P H CA BB BBB BBBBBBB BBBBBBB BBB FFB’FFG’FF’FFGB’FF’FF’GFF’BFB E DACA B 9(7& 0 & 118654321)(‘%
@
§ ¡’ 1 ¥ 1 ¤07E7¢¡ © © ) ’ 06’¨6© ¦7¨ 3 § c © x § ©! £ ‘ 8 § 3 © ! ¡ 4 ! © © © ¨70(¢5”x 60’
© “ ¡ #” ¨¦¤ £ ¢ £ ! © §¥ ¡
I
B
R C
R
R 4
I
R 4 R 4 R C R
3 2 £ ¥ § © 7E67t6′ © “E¥ ¦¨ 2 ¦7¤ ¡ ¦6© 6(“0′ ( 5 7P¢ © E 2 ‘ ‘ 1 ¥ © ! 1 ! © y § © x § 3 8 § 3 © §’ 8′ ! © £ © 31 § © ! ¥ © 1 § © y ¡ ! H6′ © 0¨¢7cu 70¦x H E¦£ ¢7¦6¢H1 ¦( ¦¢0c £ 671 H 6© 0¦x § © ©’ ‘ © § © y ¥ ¥ §’ © © 8 ¥ £ § © 8′ © ‘ § © © © §’ ©’ © 8′ ‘ © 1 y’ ¢0¦§ © ¦0¤8 0¦x “Pts 1 ( ¦§ “&¡ ¢”06 u 6′ 07 ¢¡ 61 ¦¢¥ % © y P£ ¦§ § © ©’ ! © 1 § £ ‘ ! © x § © 8 ©’ § ©’ y 1 ’ § § 1 ‘ § © § © x ¤¢ ¦6¤8 © 6¨¢7Cu 1 ¢777″1 6′ 00′ © 7¢¦x ¦¢¨x ¦(“H 0′ § ¡ 1 y’ © y ¡ ! © § ¥ © ! © § © © ¥ § © £ © § § ¥ § © x ! © ! § © 8 © © x § 3 ! 8 3 2 ! ¢”0 ¦¦(¢¦0′ ¢¦x &(“¦£ © ¥ © x ¡ ! © § ¡ 1 8′ 8 § £ y ¥ § ¤¢ 6′ 0¤¢ ¥ ¨E¦¦3 u (¢6 © ¥ ©’ x ¥ 0¦7¢¨x (“© 0′ § © £ © § © x ! ! § © ¥ § © 1′ © 2 ¥’ 7¢6 ¤ ¡ 0”6¢6 ¡ § ¤¡ u 6′ ( (t0¨x 0¨¢7c”66¢¥ u 7¢6 § £ ‘ ©’ © © y ¡ ! u ! © © ¥ ©’ 0¨x ¢7¦ 3 ¢¥ 3 ¥ 1! £ 1 § © £ ©1 ! © 3 6′ ¦(“¢ 2 0 ¢7Cu § © ¦¦7¤H P02 © “6© “1 ¦3 ¢ 7″0¦¨ ¦x 6′ © y ¡ ! © ‘ 8 § 3 ¡ © 1 § © ‘ ! © §’ ! © § ¥ § © ! ©’ § © ! § © x ! (“© § § ¦¢¥ § ©! £ 7¨ 3 (¢¥ § © § © £ ‘ § £ ¥ 3 ( 6¦¦¢h2 © 6′ © © x ¡ ! © § 0 &(“¦£ © ©! © x § ¥ 7″¦¢¥ 7¢¨x § © £ © § © ! © ! x “H 0′ § © x ! (“© § ! ©’ (“© 06 7¢¥ © 1 © § 8′ © © §’ § ©’ ”¤0”¢8 6© ¨¦3 0¦x 6¦£ ¢¤6′ 3 § © §’ ¥ 8 § ! 3 2 ! © x © “0′ ¦¨H7¨ 3 0′ § 3 1! £ © © © y ¡ ! u © §’ ! ¥ x © y ! © ‘ © 0¨¢(C6© E¦7″£ ) $ ¦¦5 0© x ¦ 3 7¢¥ x § 3 1′ § © ! © 1 © § 8′ © © ”¦¤0”¢8 6¢¥ ¦6¨( ¥ ¦2 0′ §’ © §’ © 1 £ § 3 ! § © 8′ 1 § ¢07¢ ¡ © y ¦3 “0¦ 7(¢6 8 § ! ©’ 2 ‘ ¥ © ¡ © §’ © ! £ ¤ ¦6 3 § © ! ©’ 2 ‘ 7″6¦ 77¢¥ % 2 7¢ ¥ ¢0© % E¨¤ ¡ 3 © 8 1′ ! ¥ y § © 1 § ©’ P02 7″( © 7 “x c 0”2 © ! © £ ‘ ) ! © ¡ 1′ © !”76′ © 0¨¢(Cu ¨3 § © 76′ 0′ ¢”77E ¥ 1 0¨) ¤¡ ©! £ © y ¡ ! § 1 © ! ¡ © £11 © ! © x © “C6′ 1 y’ ¦6¤8 0¨¢(Cu 6© 3 © y ¡ ! §’ ! § £ 1′ ! ¡ 8 © ¦76(¢¢0 © 1 § ©’ P02 7″( © 7 ¦¦c 0”2 © ¢¡ £ 7(“1 ¦3 0′ © ! © £ ‘ ) x § 3 1′ © y § © 3 ! © § ! § © 3 77¦V 7″677© 1 ! ©’ ! © §’ © y ¡ ! u © ‘ © 1′ ! ¥ y “1 650 ¢7C5§ 50© % E¨¤ ¡ 066¨06′ ¦C”C&C1 ( ¦§ ¦¨( 671 % ¥ ¦5″x § © ©’ )’ 2 § ! ) ! © x ! 3 § £ ‘ x § 3 § © £ ’ ! ) ! © § ¡ ! ¢¥ 6¢¥ 0′ x § ¦6′ $ E¨¤ P£ ¦§ “¦¨) ¤¡ ! ¥ y ¡ 1 ‘ ! © 1 3 © §’ © 3 £ ’ ¥ ! 6 ¢¥ ( 671 % (¦) 0¨¢7ci6© 6′ © y ¡ ! u §’ 1 ¡ ! © ‘ © “£ ) $ 0′ ¦¦3 “¦&¡ 0© 6& 7t 0¨¢7cu 6© ¦(¤ ¡ 2 ¦3 © ! £ © x § ! © x 1′ ©’ ! £ © © y ¡ ! © §’ 8 § 3 ! 3 £ 1′ ! ¡ 8 70(¢¢6 ! © x © 1 8′ 1 § “ ¢67¢ ¡ © 67tE¨7¤ 1 ( ¨§ E¤t¢¥ “¦&¡ “© £ ¦3 t6 (Cu “x § ‘ © ! ¥ y ¡ £ ‘ ! ¥ 8 1 ! © x ! ! § ’ ¥ ! ! © § ! © y § § % 1 6′ “E¥ ¦¢¥ 7¢ ¥ ¤ ¡ “¦¨) ¤¡ § © ! ©1 3 © §’ 6© ¢¦66¨06′ ¦) ( (¢¦x 0¨¢7cu § c 3 ¥ ©’ )’ 2 § ! £ ‘ ¥ © y ¡ ! ‘ § © § ¡’ § 3 § © ! ¥ ¤071 % ¦¦ 7E¨y § © ©! © y 1 ‘ £ 7″wP£ ¦§ 7E¥ P£ 7″y ¦6′ £ (¦) $ 7E¥ 6£ 7P© 1 ( ¦§ 7E¨y § ©! y § © ©! © § © x © ¡ § © ¥ ! § © ! y x’ © 1 § £ ‘ § ©! ¥ x’ © £ § § © x § © §’ ¥ 8 § ! 6¦( 71 © ¦x ¦¦3 6¦£ ¢¤6′ 3 “x 6x ¡ (“¦£ © ! © © ! © § § © ¥ ! 0¢(¢¡ x 2 7¦ 3 © 3 ©1! £ 6t 7¢6 ¤ “¦¨) ¤¡ © ©’ § © ¥ § © ¡ ! © 1 3 © §’ © 3 ¦6w ¢¥ 1 ( ¦§ 60¨66(¦) ( ( 0¦x ¦( ¤ ¦¦3 £ ‘ ©’ )’ 2 §’ ! £ ‘ ©’ § © £ ¡ x § § © ¥ § © (¢6 ¤ ¡ “¨) ¤¡ ! ©1 3 © §’ © 3 ¥ ©’ )’ 2 ‘ ! 6w ¢¨ 0¨0§ (¦) £ 7 0¦x 6£ (“1 ¦3 2 0¨y ‘ ©’ § © x’ © ! © § 3 § © © ¡! u § © 7ci£ 6′ 2 © 6′ 0(¢”7770© % E¨y ( (“H “50′ 1 ©’ ! ¡ © £ 1 1′ ! ¥ § © £ © ! © ! © x © ! © 1′ “0© § © ¥ ! £ (¦) $ 0¢ © ¥ ! ¡ x § 3 1′ ! ¥ § © £ © ! 8 § 3 © ! ¡ 4 ! © ’ ¢¦ ¦¨6© % E¨y ( 7″© ¦76(¢5H”¦x 6© § ©1 ! § © x 1 ! £ (“© c(¦ 3 ¨70(¢5t0′ 8 § 3 © ! ¡ 4 © © § © § ! © § © § § (“0¨¦© % ! © “x (¢”© 0¢(1 ”2 ‘ ! 8 § © ¥ ! § © § © 8 § 3 x § © ¢¦¨¦H § 00′ 3 £ ¢¥ “E¥ % 7E ¢¡ § ¦( 67″(¢”7C0¦x 3 x 0’ © © ! 3 ! © y ‘1 ¥ ! © £ ’ 1 © ! ¡ © £ 1 ©’ ! § © ! § © x ! (“© ©7″¦¤¨§ ! © x § ¡ © y § © y © 3 ©’ ! ¡ © £ 1 1 1′ © ) ”¢8 2 6(¢”77E ¥ 0 0¨¤¡ ©’ 0¦x % 7E¥ (¢¡ § ( 67″7¢”£ “x ‘1 ! § © £ ’ 1 © ! ¡ © ! © © 1 ©’ y © 8’ ”0¨”¢66© § © 1 8′ 1 ¤67P£ ‘ “6© 6′ ¦3 ¦ 3 6c 6© 6′ ¦76(¢5H”70¦x 0′ ! © x © §’ § 8 § ! £ §’ © §’ © 1 8 § 3 © ! ¡ 4 ! © ©’ ©
I r I R E l E I p P jl I x B I C H D E B D D I lI l E D I B E ` I k l ‘ E ` B I ji D I I e P I B l m r EI E E I tx k E k I E B E I I E ‘ I B I D R E I ” p E j n D B j r n R E fB I I R E t I I r F D E B D q ¦ P I E ‘ l ‘ q l r F I D B D I E t 3 q I P D H I I B D P E I p D A ” k s I I B q P D I D I D q I P D I E ¨B #d p I E E H v y v um p e c a Y W U I B p ffxwbAbfsrt qihgefdb` V TS ER t l G I I G P’ I G Q E E GB P I G H I I E D F E I H P e m
C B @9 &26 4 2$ ) & ” D1A’%$875310($’%$#!