0\U?00\U?0 á?á? 0′?U?4???Y ?? l |9fc l x6fc l EY?fc l &Jfc l ?Dfc E??E?? 8.1 ?Vé 8.2 |9fc 8.3 x6fc 8.4 EY?fc 8.5 &Jfc 8.6 ?Dfc 8.1 ?Vé ?Vé GK+ DB2?,X¤tDBNM?Vp¤tD BNM ?1 ? .Bn?tDB2?èúJ/?G K+× úíè/? ?GK+? fc ^?4?′c DB2?Y';GK+E?r ?êE?￡? G??f??VpfcqB,XGK +èfc,X4§pú ?,Xè fc1k"?,X0n? Vp üYfc,XA?)c?Y ?tDB2?,XGK+,ì àè4￡E?fc aèE-oD B2?,X,ìí ?c±?á ?èí/?E-/?fc1k"?0 n,Xè úí/?á0n,X? YF?fcaêF?fc  B üfcE?/?Yfc,X YDB2? ú<F?>5B üY,è ?úfc? "?úYF?fc `êF?fc??2O?YF?fc? ü fc,XHtE?/?èYfc,XYDB2?<F?> 5B üY,×êF?fc?+bYfc,XDB2?t Dt?èá6? àê5B üY,è5àL??Uú?F?úDB 2?5B üY,è o?F?úDB2?5B üêA?Tè HtfcE?/?L??U üYê,Kè? ?x6DB!6?k fc,X4§p?0′ ?A|A? *ü,XYF?fc?"?? fc,X ??"? YF?fc?UY 5/??"??| 9?x6?EY??&J ` ?D? Cs üfcE?/?è ?|0;> ? ?? fc1k"?,X)[ A??fc1k"?,X)[?UY? &??? üDBG￡????n,X5ê?è1k"?;> #5?,XG êKèèíbfc?0èêKè?U#\5? üGK +Kè,X!¨EW `DB2?,X/?|Tè ′!8?à ?1Ax P?)[,Xfc1k"?hA1 ?6??,X!¨EW ?D ` ?6??,XDB2?/?| ?D×`;> 1k"?L??U,X EY},|0NKèèEY},|0NKè? üDBG￡????n ,X5ê?èL8Z,YfcDB2? 4*ü,X,|0NKè êè;> 1k"?L??U,XJa,|0NKèè)ú?,X0NKè )[1k"?;> óKèL??U,XEY}0NKèaYfc,XD BG￡′G? YfcA?)c?,X,|4§X YfcA?)c? ?1 *üNNc,|4§X ` `Jò?,|4§X></? ü0′,XA| A??L8 ?Dfcê?è?àúYfc,XA?)c?*ü NNc,|4§X></è G*ü?4èD4?r)??JnV? /? #define MAX_NUM 80 //YfcA?)c?,X??D B2?tD typedef struct elemtype { //Yfc,XDB2?2O _ keytype key; //DB2?,XGK+ anytype otheritem; //DB2?,XJa?? }DataType[MAX_NUM+1]; 8.2 |9fc|9fc |9fc,X?U?C?á? úYfc,XD| 9Yc!?èSYc!?E?#?=?è,è7?YDF? Eˉ9Yc!?!5B? 8.2.1 ,èy|9fc 1. ,èy|9fc,X ??? ,èy|9fc?/?!¨EW1T ),Xfc?"??W,X ???q ?úA?)c?,X!￡?tA?)|9Y c!?èSYc!?,XKSzá? =??JK',Xfc E?/? ?1￡E?V??OjúYfcA?)c?,X1? tA?)0?tYc!?èúA?)c?,X1`tA?) |9TE?Yc!?6?+?tA?)4??,XYc!?è aúA?)c?,X1YtA?)|9E-tYc!?è 6?+YtA?)4??,XYc!?è ?q!82O|è!￡?Cs F?ú?tA?)|9!M6,XYc!?èA?'!! ?)ú1 itA?)èíhA1úE-tA?)|9+! i-1tA? )4??,XYc!?è￠5à6??t+ itA?)4??,XY GK+f?,XYcc?è,èYA?)F?|9Y c!???EL??U4￡E? n-1Cs ?1ú??c?,X nt A?)G??f??YGK+??f?,XYcc?? 2. ,èy|9fc1k"? ú1 itA?)|9+!M6 i-1tA?)X?,XYc!? ?UY?t!9Px? AúY|9A?) a[i]±, ü a[0]è G a[0]=a[i]; Be2?|9!5B? j=i-1; //j???/ i,X!?t!5B while (a[0].key <a[j].key) { a[j+1]=a[j]; // a/?GK+?b a[0].key,XA?) j=j-1; //ú j? ?!?tA?)è? ?!¨EW.?? } a[j+1]=a[0]; //ú a[0]5B ü1 j+1t!5BT `H,X|9fc1k"?? void insertsort (DataType a, int n) { for (i=2; i<=n; i++) //L??U n-1Cs { a[0]=a[i]; //ú a[i]C\,￥?? ? j=i-1; while (a[0].key<a[j].key) //e2?|9!5B { a[j+1]=a[j]; j=j-1; } a[j+1]=a[0]; //ú s a[i],XA?)91 j+1t!5B } } ,èy|9fc1k"?1T )???r)?è ?L??U?t A?)??,XEY}0NKè*üb,Y|9,XA?)? ü CAá?? è?ày*üZD4?,X 0 )? `?t int _ ?G￡?' YfcA?)EW?êèfcEózEW?èè'Yfc ,XA?)DG￡EW?êè?G￡,X!¨EW `/?|?0úS,èy |9fc1k"?,X)[L!"×' 5àè'Yfc,XDB 2? ?Ycêè,èy|9fcE?/?,X/?| ?D?? ￡?è￠5à)[?Y¤P?? |9fc?/?0n,Xfc?"?? 8.2.2 àèfc 1. àèfc,X ??? àèfc?"? ?/?4y?rG￡fcèJ ??? úYfc,XA?)?ú?′4?è￠5à￡? ?a,èy| 9fc,XDBG￡è'4￡E?′ ?ú4?fc aèA?),Xf ??4￡ ?YcèE-têíaíY,XA?)r?,èy |9fc? K'!9Px ?1￡E?V??A?Yfc,XA?) n tè aHD d<nè_Vè a d=n/2? n/2 ></á?b n/2,X??HD?èúYC±/? d,XA?)X??4?è ￠5àúHtYfcA?)c?úF? dt$c?èV ò 8-2/èí!￡tú4?ú?Eˉ> ,èy|9fcè' aa 4y?KèLh dè_Vè a d=d/2èG?áTE?,Xú4?èaí !￡tú4?ú?Eˉ> ,èy|9fcè,è? a a d=1è G úYA?) ü?4?Eˉ> ? ?,èy|9fcè?4?ú YA?)G??f??YGK+Yc,Xc?? 3. àèfc1k"? (1) ú?A}!￡tA?) ?a,ìhú4?,Xfc 81ú d4?è! dtA?)hA1ú?X?+?tA? )4??,XYc!?è￠ d+1tA?)??èE??ú!￡tA?) a[i]|9,ìh4?,XYc!?èJ1k"? ?1E- r )?? for (i=d+1; i<=n; i++) { ú a[i]|9,ìh4?,XYc!?× } (2) ú a[i]|9,ìh4?,XYc!?,X?0 ?1E-  r)?? l ú a[i]C\ a[0]è G a[0]=a[i]; l A} j? ? a[i]24?,XYcc?? a?tA?) l e2? a[i],X|9!5B while(j>0 && a[0].key<a[j].key) { a[j+d]=a[j]; j=j-d; } àèfc,X`H1k"?V?? void shellsort(DataType a,int n) { for(d=n/2;d>=1;d=d/2) { for(i=1+d;i<=n;i++) //ú a[i]|924?,XYc?!? { a[0]=a[i]; j=i-d; while(j>0&&a[0].key<a[j].key) { a[j+d]=a[j]; j=j-d; } a[j+d]=a[0]; } } üàèfcè+b??ú ntYfc,XA?)ú? Z d4?è1!￡4?,XA?)D,?ú?￡?? üDBG￡EW ?êèy*ü,èy|9fc,X)[EWP??Lc- ?áú4? fcè dE?#? ??è!￡tú4?,XYfcA?)D,?ú ?r?è!8êA?),Xf?NNcúèyE￥Ycè1 y*ü,èy|9fcá?L!"fc,XêKè)[? àèfcE?*übYfc,XA?)D,?EW?êè ü!8 ???èàèfc?"??8?U!¨,èy|9fc?"? ?? à,èy|9fc? èàèfc3 ?L??U?tA? )??,XEY}0NKèè*übV,'!Y|9,XA?)? àèfc?/?á0n,Xfc?"?? 8.3 x6fcx6fc x6fc? üfcE?/?è?UE?E?Yfc A?)c?2?KèGK+,X!¨EWèa,|!5B,Xx6 9E?fc,?,X?2Ofc?"?? 8.3.1 f"μfc 1. f"μfc,X ??? f"μfcx6fc?/?1T ),Xfc?"??W,X ???íY,ìF?A?),XGK+Eˉ> !¨èV pEúNN? a[j]>a[j+1]?èíúJx6è?4?E?Yc ê?J?)úE?/?? ? 1?úHtYfc,XA?)c??ú?Yc  `′ c è??(??Yc 0Nè′c ùàYYfc ,XA?)? ? 2?í′c ￠! ? aq ?ú,ìF?A?),XGK+ Eˉ> !¨EWè81EúcúJx6è￠5àSkGK+?,X A?) ?T 3N?#B ′?o/??èGK+?,XA?)Q￡-? +è ?? 3 é: ′? ?/??? !￡4￡E??Csf"μfcèF?S′c GK+? ?,XA?)Eˉ9Yc èíb+ ntA?)4??,XA?)c ?è??4￡E? n-1Csf"μfcè ?1úE- ntA?)G? ?YGK+NNcf?? 3. f"μfc1k"? s?,Xf"μfc1k"? í+ ntA?)4??,XA?)c?è??4￡E?? n-1? Csf"μfcè ?1SA?)c??Ycc?è1? Csn!1 ntA?)è!8êYc  ?Y?tA?)×1`Cs n!1 n-1tA?)è!8êYc Y?tA?)×1!82O |è1k"??? for? i=n× i>1× i--? { n!1 itA?)× } 81n!1 itA?)èL??U￠! ? aí′c ,X,ì F?A?)Eˉ> GK+,X!¨EWèW ?1*üV?/,XAá 1 r)?? for? j=1× j< =i-1× j++? if (a[j].key>a.[j+1].key? { temp=a[j]× a[j]=a[j+1]× a[j+1]=temp× } ?M64-?`?,Xf"μfc1k"?? void BubbleSort1 (DataType a,int n) { for (i=n× i>1× i--? { for (j=1;j<=i-1;j++) if? a[j].key>a.[j+1].key? { temp=a[j]× a[j]=a[j+1]× a[j+1]=temp× } } }  Eˉ,Xf"μfc1k"? üf"μfcE?/?è?o ￥)?¤?Cs"uYEˉ> x6 ?0è><a!8êYfcA?)c??4￡?Ycc ?èf"μfcaEˉ> ? ??4￡"uY??Uèh0? G4§3 fcE?/??  Eˉ,Xf"μfc1k"?? void BubbleSort2 (DataType a,int n) { for (i=n;i>1;i--) { exchange=0× for (j=1;j<=i-1;j++) if (a[j].key>a.[j+1].key) { temp=a[j]× a[j]=a[j+1]× a[j+1]=temp× exchange=1× } if (exchange==0) break× } } Eˉ?!9  Eˉf"μfc1k"? ü?1k"? 8-4D4-?,Xf"μfc1k"?,X ?.TèV p?à àêA?)1 iCsf"μfc? a? ? ￥*óx6? 0,X!5B m? m<=n-i?è? ￥)?￠!8!5B1 a,XA? ) ?4￡Ycè G′c 8× è4y? ü a[1]~a[m]Kèè 1 üEˉ> ??Csfc?0êèá?5×<% a[m+1]~a[n]8× èY,XA?)Zè5à ? ü a[1]~a[m]8× èY Eˉ> ? `H,X1k"?? void BubbleSort3 (DataType a,int n) { last=n-1; for (i=n;i>1;i--) { exchange=0× m=last; //??ú? aEˉ> A?)x6,X!5BA?5B? i-1 for (j=1;j<=m;j++) if? a[j].key>a.[j+1].key? { temp=a[j]× a[j]=a[j+1]× a[j+1]=temp× exchange=1× last=j× //A?)!￡? ? ￥*óA?)x6,X!5B } if? exchange==0? break× } } f"μfc!¨EW1T )è'??c? ?Ycêè f"μfcYEWP?,X)[è ?)[EW"×J ?f"μ fc ?L??U?tA?),XEY}0NKèè*ü90A?)x 6,XKèV, )×f"μfc?/?0n,Xfc? "?? 8.3.2 ?Eófc 1. ?Eófc,X ??? ?Eófc ?/?ú x6fc?J ???? OjúYfcA?)c?,XYA?)0'!Yfc  3è￠?EY a?tA?)?!¨Vè1?tA?)?è J1A1A?),XGK+ ??è￠!bYfcA?)c ?o ??0???èE?#? ?KèM4?èxóa ??A?) ,XGK+Eˉ> !¨EW?x6è!￡ ?!¨EWè81Fo{A?) ,XGK+?b ??A?),XGK+èíúJa ??A? )x6èSJ/? ??A?),X ?{è81F ?{A?),X GK+?b ??èíúJa ??A?)x6èSJ /?7? ??A?),Xo{è ? aA} ??A?)E?W,X?4?!5Bè!8êè ??A?) úYfcA?)ú?Zo ??t  3è!b ??A?)o {,XA?)F??bê1b ??A?),XGK+è!b ?? A?) ?{,XYA?),XGK+F??bê1b ??A?) ,XGK+èE-?Cs?Eófc×' aú?ío ?? t?,XYfc  3èG?áTE??Cs?Eófc,XE?/?è J4§pú?A}o ??t  3,X ??A?)F?E?Wà ,X?4?!5Bè àêúYfcA?)c?ú?è?,XYf c  3èa ?G?áí!￡t  3Eˉ> ?Cs?3fcè,è !￡t  3 ?Y?tA?)!6è!8êY,XA?)F? E?ZW,X?4?!5Bè GHtYfcA?)YGKYc f?è7?!8fc4§3? íYfcA?)c?Eˉ> ?Cs?Eófc,XE?/?￡E? V?? (1) ??ê? a1?tA?)0 ??èJGK+  19èA?5B?t?J\ iè jú?*ü9?/ú?Ua ??A?) Eˉ> !¨EW,Xo{A?)!5B ` ?{A?)!5B????￠ ?{??!¨EWè' ￥*óx6?0 aèE@ ?a￠o{!¨ EW× (2) *ü ??A?)a ?{A?)Eˉ> !¨EW? Ga?J\ j ? ?,XA?)Eˉ> !¨EWèVp ?{A?),XGK+?è í4?4áa ?{!?tA?)Eˉ> !¨EWè G j￡ 1 aèa*ü ??2?a j? ?,XA?)!¨EWè81 ?{,XA?)??Eú c?èíú ??A?)a j? ?,XA?)Eˉ> x6× (3) *ü ??2?ao{A?)Eˉ> !¨EW? Ga?J\ i ? ?,XA?)Eˉ> !¨EWèVpo{A?),XGK+?è í4?4áao{ a?tA?)Eˉ> !¨EWè G it 1 aèa*ü ??A?)a i? ?,XA?)!¨EWè81o{,XA?)??Eú c?èíú ??A?)a i? ?,XA?)x6è× (4) ?{!¨EWao{!¨EWxóG?áEˉ> è,è? J\ ia j? ? à?!5Bè G? ? ??A?)?4?,X!5B? ?Cs?Eófc aèaú?ío ??t  3Eˉ> ?Eófcè1!82O|è,è!￡tú  3F? ?Y?tA? )!6??M6íGK+? 19,6,47,26,18,26,7,13? ,XA?)c?Eˉ> ?Eófc,X ?Cs(?? 3. ?Eófc1k"? ?Eófc?tE?&,XE?/?è ??U6?ór)??Cs ?Eófc,X1k"?è ?1y*üE?&,X?"?í?Cs?Eó fc a,Xo ?ú  3ú?Eˉ> ?Eófc??M6?Cs ?Eófc,X1k"?úd? (1)??ê? ú i ` jú?? ?Yfc  3,X?o{A?) `? ? {A?),X!5B? i=first; j=end; ú ??A?)V, ü temp? temp=a[i]; (2)í'!Yfc  3￠ ?{ú?UEˉ> !¨EW,XA?) ? j? ?,XA?)??? ?o{Eˉ> ?￡è,èR1? tGK+?b ??A?)GK+,XA?)? while (i<j && temp.key<=a[j]) j--; (3)Vp i!=jèíú a[j],XA?)/?7? a[i]èJú i++? a[i]=a[j]; i++; (4)í'!Yfc  3￠o{ú?UEˉ> !¨EW,XA?) ? i? ?,XA?)??? ? ?{Eˉ> ?￡è,èR1? tGK+?b ??A?)GK+,XA?)? while (i<j && a[i]<=temp.key) i++; (5)Vp i!=jèíú a[i],XA?)/?7? a[j]èJú j++? a[j]=a[i]; j++; (6)Vp!8ê? i<jèíG?áTE?? 2??? 3?? ? 4??? 5??0è úíè><aRZ ??A?),X? 4?!5BèJú ??A?)/?W,X?4?!5BT? while? i<j? { ;> (2)? (3)? (4)? (5)!9Px } a[i]=temp; ?M6?Eófc,X`H1k"?? void quicksort (DataType a,int first,int end ) { i=first; j=end; temp=a[i]; //??ê while(i<j) { while (i<j && temp.key<= a[j].key) j--× a[i]=a[j]× while (i<j && a[i].key<=temp.key) i++× a[j]=a[i]× } a[i]=temp× if (first<i-1) quicksort(a, first, i-1)× //ío{ú  3Eˉ> ?Eófc if (i+1<end) quicksort(a, i+1, end)× //í ?{ú  3Eˉ> ?Eófc } ?EófcrBüTíf"μfc,X?/? EˉèW,X )[af"μfc,ì!¨Y\? ¤P?? üf"μfcE?/? í,ìF??tA?)Eˉ> GK+!¨EW `f6,XèE- !￡ ?x6A?) aè ?6? ??íEúcA?)è5à?Eóf cí￠YfcA?),X?0???Eˉ> !¨EW `x6èJE? #? ?KèM4?è!￡4￡E?? ?x6èY ?6? ?′íEú cA?)è￠5àt?ZfcEóz?,?!!6?Eófc G Eóz??,X?/?fc?"?è' s?A?)f? ?Ycê ?Eúcêè!￡?Cs,X ??A?)Y ?6? ? úJ-A?)ú??F?úèE- L!"ZêKè)[è 1?EófcE?*üb s?A?)f?E′0′,X??? ?Eófc?/?á0n,Xfcè üE?&A×*üêL? ?U 4B?n,X,|0NKè*ü9±,!￡?E?&A×*üê,X ??UμC? 8.4 EY?fcEY?fc EY?fc? üfcE?/?cèq ?￠Yfc,X A?)c?EY??GK+??,XA?)?GK+ ? ?,XA?)? ??èJú?úWàn!c?o{,X1 1 t!5B?1`t!5B? ??è? a=??tGK+ ??,XA?)!bc?,X? a?t!5Bè￠5àSYfc ,XA?)c??YGK++??f?,X,XYcc ?? 8.4.1 1T )EY?fc 1. 1T )EY?fc,X ??? 1T )EY?fc,X ????!￡?Cs ü n- i+1(i=1,2,3,...,n-1)tA?)EY aGK+??,XA?)0 Ycc?,X1 itA?)?W,XK'r)?E?/?? (1) úHtA?)c??úYc  3 `′c  3èYc  3!b?o0?è′c  3!b ?0?è?? (??Yc  30Nè′c  3 ?YYfc,XY ntA? )? (2) A?5B?tH _ ?G￡ indexè*übA?) ü?Cs,X !¨EWE?/?è'!GK+??,XA?)!5B???ú WA?n'!′c  3,X1?t!5Bè GA?E-t! 5B,XGK+??è' a*üWa′c  3JaA?)Eˉ > !¨EWè81 ￥)?Y!¨W,XGK+E??,XA?)èú index E-t?,X??A?)!5BèLc aa*ü a[index].keya aM6,XA?)Eˉ> !¨EWèJ B!¨EW4§ pèLcê? index,Xè?Cs4§3 a index±+-,X CsEY?,XGK+??,XA?)!5B? (3) ú index!5B,XA?)x6′c  3,X1?t !5BèSkYc  3=)Z?tA?)è5à′c  3￡ ?Z?tA?)? á?G?á (2)? (3)è,è′c  3=??tA?) !6?!8êY,XA?)?4￡YGK+￠??,XNNcf ?!? 3. 1T )EY?fc1k"? 1T )EY?fc,XH'4§XhA1? for (i=1;i<n;i) { 1 iCs1T )EY?fc× } ?M6?àEˉ?!9úd?? 31 iCs1T )EY?fc ′,X 1k"?r)?? ? 1???ê?A?′c  3,X1?tA?)GK +??,X2?è Gú index=i; ? 2?e2?′c  3GK+??,XA?)!5B? for (j=i+1;j< =n;j++) if (a[j].key<a.[index].ke) index=j; ? 3?ú′c  3GK+??,XA?)a′c  3,X 1?tA?)Eˉ> x6èSkYc  3+ s9,X i-1t A?)=) itA?)? `H1k"?? void selecsort ( DataType a, int n) { for( i=1; i<n; i++) //í ntA?)Eˉ> n-1Cs,X1T )EY?fc { index=i; //??ê1 iCs1T )EY?fc,X??A?)?Jfor (j=i+1;j<=n;j++) //e2?GK+??,XA?)!5B if (a[j].key<a[i].key) index=j; if (index!=i) { temp=a[i]; a[i]=a[index]; a[index]=temp; } } } 1T )EY?fc1k"?1T )èEózEW6èJè ?/?á0n,Xfc?"? .è üfcE?/? ?L??U?t *ü9x6A?),XV, )? 8.4.2 úfc 1. úfc,X ??? úfc o?/? ?bEY?,Xfc?"???M6?à ?4???? ú?' aa?4?V)y*ü úEˉ> f c? ún?+ nt2?4??,Xc? {k1è k2è ??è kn- 1è kn}è'è?'$μC?V?G2?êè/? ú ? _Vc?? 47è 35è 27è 26è 18è 7è 13è 19?$μC?? 81ú ú,???é1 k1 ,X`<` ??èíE- é`<` ??,X!￡tM24?0?4§&?,X á?b?ê á?b?Jo? ?=$4§&?,X?+!8 ?1,??è81 ?é`<` ?? úèí 4§&??nE- nt4§&?,X ??5ùê??5ù??M64-??t ú,X/_? ò 8-11 ?M6?àA|A???V)y*ü úEˉ> fc? ￠ ú,Xn ?1,??è81ú ú*ü?é`<` ?? ></èí 4§&?'! úY4§&?,X??5ù?ê? ?5ù?? úfc,X ????OjúYfc,XA?) c?XE??t úè!8êèEY?Z úYA?),X?? 5ùê??5ùè' aúW￠ ú/?CDèJú=-,XA?) aA×H? úèE- ?R?Z ???ê ???,XA?)è 1!82O|è,è ú ?Y?tA?)!6è!￡tA?)? ú,XNNc?tYcc?? 3. úfc1k"? A?'!?UEˉ> 1/EY,X4§&?4ê ? kè ú? a?t4§&?,X4ê ? mèè a[k+1]7? a[m]Kè,X4§ &?F??4￡$μC? ú,X5êèíA×HE?/? ?1￡E?? (1)A?5B?t?J\ i ` j? i? ?'!??U1/EY?,X4§&?? i=k; j? ?'!4§&?,Xo=$4§&?? j=2*i; (2)!¨EW'!4§&?,Xo ?=$,XGK+èJ *ü j? ?GK+EW?,X=$4§&?? if (j<m && a[j].key<a[j+1]).key ) j++; (3)*ü'!4§&?,XGK+a j? ?,X4§&?GK +Eˉ> !¨EWè B!¨EW4§pG? a,ìh,X?0è G 4§31/EYêx64§&?Y?J4?4áEˉ> 1/EY?r)?E- t?0,XAá 1? if (a[i].key>a[j].key) break; //4§31/EY?0 else { temp=a[i]; a[i]=a[j]; a[j]=temp; //x64§&?Y? i=j;j=2*i; //??4?4á1/EY } ?1úx6 Eˉ? if (a[i].key>a[j].key) break; else { a[i]=a[j]; i=j; j=2*i; } úfc,X1/EY1k"?? void sift (DataType a,int k,int m) { i=k;× j=2*i× temp=a[i]× while (j<=m) // { if ( j < m && a[j].key < a[j+1].key ) j++; if ( a[i].key > a[j] .key) break× else { a[i]=a[j]× i=j× j=2*i× } } a[i] = temp× } úfc`H,X1k"?? void heapsort (DataType a, int n) { h=n/2 ; //? a?tM24?0?4§&?,X4ê ? for ( i=h ; i>=1; i--) //?? ú?￠? a?tM24?0?4§&?7? 4§&? sift ( a, i, n ) ; for ( i=n ; i>1 ; i-- ) //G?á;> /?CD úNJ4§&? ?G?? ú,X?0 { temp=a[1] ; a[1]=a[i]; a[i]=temp ; sift ( a , 1 , i-1 ); } } ü úfcèL8?? ú1êèJ-A×H ú,XE?/? ??L??U!¨EW?#? ?è ′!8èa1T )EY?fc,ì!¨ê Kè)[¤P?Z\?× oêèá1u s?A?)V)f?è úfc,X!¨EW ?D ?êá?è1Aèè úfcí s? A?),Xf?(??Já#ó? ü úfc1k"? ?L??U?tV,>1/EYA?)Y? ,X ) `?t1T ) ?G￡ h ` iè1 úfc?/?Eóz ?è,?0NKè,Xfc?"?? úfc?/?á0n,X? 8.5 &Jfc&Jfc 8.5.1 &Jfc,X ??? &Jfc?/? o?2Ofc?"??A?&J? ú?tê?t1T,XYc>< üJ??t?,XYc><? &Jfc,X ???ú?tKY ntYfcA?),Xc ?,?? ntKSz 1,XYc?è' aEˉ> ??&Jè k? n/2 tKSz 2,XYcc?èaEˉ> ??&Jè k? n/4 tKSz 4,XYcc?èV!8G?áè,è7?k ?tKSz n,XYcc?!6? 8.5.3 &Jfc1k"? E? è?àú?tYc!? üJ??tYc!?,XE? /?/? 2-C?&J? 1.2-C?&J1k"? A?A?)c?>,| ü?4èD4? aèè a[s]~a[m] ` a[m+1]~a[t]?4￡ú?Ycè)?úWà üJ?tYc!?èJ,9D4? a1,X a1[s]~a1[t] Kè? üJE?/?? (1)A?5BYtH _ ?G￡ k? i? jè*ü9ú?? ? a1[s...t]'!hA15B?A?),X!5Bè a[s]~a[m] ` a[m+1]~a[t]'!!7 ü?)ú,XA?)!5B???h A1? i=s; j=m+1; k=s; (2)!¨EW?tYc!?'!A?),XGK+èú GK+EW?,XA?)5B a1[k]èJ? A1A?)2Y c!?,X?J\ ? a1,X?J\ k?G?á;> !8E?/?,è J,X?tYc!?Y?<F?/?7? a1!6è!8êL? ?Uú o?tYc!?,XY=-A?)/?7? a1?J 1k"?r)?V?? while (i<=m &&j<=t) { if (a[i].key<=a[j].key) a1[k++]=a[i++]; else a1[k++]=a[j++]; } if (i<=m) while (i<=m) a1[k++]=a[i++]; else while (j<=t) a1[k++]=a[j++]; 2-C?&J,X`H1k"?? void merge (DataType a,DataType a1,int s,int m,int t) {//a[s]~[m] ` a[m+1]~a[t]?4￡ú?YcèúWà&J 7? a1[s]~a1[t] k=s; i=s; j=m+1; while(i<=m && j<=t) { if (a[i].key<=a[j].key) a1[k++]=a[i++]; else a1[k++]=a[j++]; } if (i<=m) //ú=-A?)á D4? a1 while ( i<=m) a1[k++]=a[i++]; if (j<=t) while (j<=t) a1[k++]=a[j++]; } 2. &Jfc,XE?&1k"? &Jfc?"? ?1*üE?&,X6?￡E?è GOjú Yfc,XA?)c?úo ??tF?úèJú?úE-? tF?ú*ü&J?"?Eˉ> fcè' aA×*ü 2-C?&J1k "?èaúE-?tYc!? üJ??t ?Y<F?A?),XY c!?? E?&1k"?? void mergesort (DataType a,DataType a1,int s,int t) { if (s==t) a1[s]=a[s]; else { m= (s+t)/2; mergesort ( a, a2, s, m); mergesort (a, a2, m+1, t); merge (a2, a1, s, m, t); } } 2-C?&Jfc,XE?&1k"?￠/?c,X:m6?T,? !¨EW1T )è ü1k"?;> êèL??U 4*üEW?,XEY} ,|0NKèè GL8Z üE?&A×*üêL??U±,?o??U,X μCè ü&JE?/?E?L??Ua, s?A?)c? à DG￡,X,|0NKèè1?,&J4§pèa?Eófc ? úfc,ì!¨èW?/?0n,Xfc?"?? 8.6 ?Dfc ?Dfc 8.6.1 ?Dfc,X ??? ?Dfc?/? ?b?GK+,Xfc?"?? 1. ?GK+fc ?_Dú>< 8-1/,X:*ó?4? )YD:?4?,X 14{+P?"fcèD:?4?,ì à,X:*óaY8?Aá? 4?,XP?"14{fc? fc4§pV>< 8-2/? a!M6′8VA?E?,Xfcá àè üE-tfcè !￡t:*óA?)?4?,X!5B+?tGK+?n?1 1GK +D:?4? k1è1`tGK+8?Aá?4? k2èíf c a!￡?t:*ó?4?A?),X!5B+GK+ k1 k2?nè ?àúW/?á üGK+è G?GK+fcY'; á üGK+,X??fc? )? ü?àA|A????GK+fc,X?"???M6? à1:*ó?4? )_è4-?E? G?*ü,X?/??"??1 ?/??"?YD:14{+P?"ú:*óA?)ú? A? B? C? D? Eht$c?è' aaú?í!￡t$c? Y8?Aá?4?+P?"fcèE- ?k?tìY D:14{fcè üD:14{,ì à,X???èaY8?Aá 14{fc×1`/??"?ú:*óA?)Y8?Aá14{+ P?"ú? A? B? C? D? Eht4?? >< 8-3 GK2O? A BCDE AA AB BC CD EA BB CB ?4?? , DB ' aY￠o ? ?è￠T ??,XNNcúWà L? CK9kGK+c?? AAè EAè ABè BBè CBè DBè BCè CD aYD:?4?+P?"ú? A? B? C? D? Eh t4?? >< 8-4 GK2O? A BC DE AA BB CB DB EA ?4?? , AB BC CD aY+P?",XNNcúWà L?CK9èkG K+c?? AAè ABè BBè BCè CBè CDè DBè EA ?1,??èE-tGK+c??4￡Yc,XZ? üTE??/? ?b?GK+,Xfc?"?è1?/? ?"?YP?!GK+Eˉ> fcè>/? 3?P?!ì  ′"?è1T/? MSD"?×1`/??"?Y"!GK+f cè>/? 3?"!ì ′"?è1T/? LSD?￠TM6 ,X_$ ?1,??? ü MSD"?èYP?!GK+úY fcDBú?$c?è' aaí ?$c?Y??tG K+fc×5àS*ü LSD"?Eˉ> fcêèí!￡tGK+ F?úHtc?YGK+ú4?è' aYNNc L?è ' LSD"?è?0!¨EW1T )? 2. ?Dfc ?Dfcó}b?GK+fc??Eˉ> fc,X ?/?fc?"??A1?"?úfcGK+ K,?0+?t GK+4??,X4? üGK+è G K=k1k2?kd?!￡tGK + ki></GK+,X?!èJ k1?P?!è kd?" !è dGK+,X!D?_VèíbGK+c? ? 101è 203 567è 231è 478è 352?è ?1ú!￡tGK K,??+Yt )GK+4??è G K= k1k2k3è!￡tGK +,X a8× è 00 ki0 9è1!￡tGK+ ? a,XD ,? 10èE? úGK+ a,XD,?/? ?Dè*ü0ú ? r ></è üE-t_$ r=10?íbGK+c? ? AB,BD,ED? ?1ú!￡tGK+,??+`t )+!? GK+4??,Xá üGK+èJè!￡tGK+,X a8× è 3A~Z′è1GK+,X ?D r=26? ?à üE-G?A?E?,X ?Dfc?*ü?GK+,X LSD?"?fcè GíYfc,XA?)c?Y';á üGK +￠"!P?!,XNNcxó Eˉ> 3ú4? ′? 3 L? ′è ?4?kYc,XA?)c?? ü!8?àú? ? 3ú4? ′? 3 L? ′/??Cs?íb+ d!GK+4??,Xá üGK +èL??U4￡E? dCs,X 3úG! ′a 3 L? ′? ü ?Dfc,X 3úG! ′a 3 L? ′?0E?/?è ZFS!DB2?,X?G￡/?|èE? G?*üJò?,|4§ X,|Yfc,XA?)c?è81A?A?),XGK+ int2O _èíJò><,X4§&?2O _ ?1nV?? typedef struct node { int key; anytype data; int *next; }List_Node; 8.6.3 Jò? ?Dfc1k"? ?Dfc,X ??0YGK+!Eˉ> 3úG! ′ ` 3 L? ′? ??ê?0 ü ?DfcèA?Yfc,XA?)c?1 ) Jò><,X6?4-?è 10tKó?,X,|4§X3 )Jò>< 6?èJQ?? üEˉ> 3úG! ′?0êèY?U"ú !￡t4§&?|9,ìh,XKó?è üEˉ> 3 L? ′?0 êèúM20N,XKó?q ?Oj,ìE2èE- . G8V,?, |0NKè ??0???1??ê?0?Uú 10t Kó?5B0N? for? j=0;j<r;j++? {f[j]=NULL;t[j]=NULL;} 3úG! ′?0 3úG! ′E?/? ?1￡E??E?t￠ )Jò>< a? YúG!,X4§&?èJú/??GK+,X,ìh!è' aè Y';!8!,XDúJ|9,ìh,XKó?? ?M6?à1 3!H _D_èAèahA1V)ú /??,ìh,XGK+!? 81ú 3!H _D,X!￡?!ú/??9è ?1E-  ?0? 1 1 ?ú/?,XGK+!?t!?? k=key%10× 1 2 ?ú/?,XGK+!? !?? k=key%100/10; 1 3 ?ú/?,XGK+!?,R!?? k=key%1000/100; ?? 1 i ?ú/?,XGK+!? k=key%10i/10i-1 81A? n=10i,m=10i-1è1 i ?? G1 iCs?ú/? ,XGK+!hy*ü??><E??"?? k=key%m/n ?A? n ` m,X? n=10è m=1è ü!￡?Cs úG! aè? n=n*10è m=m*10èí ü1 iCs 3úG! ′ êè m ` nDQ? n=10iè m=10i-1? 11 iCs 3úG! ′?0,X1k"?? p=h; //p? ?'!úG!,X4§&?è??? ? )Jò><,XOj4§&? while(p) { k=p->key%n/m // 3ú/? ′ if(f[k]==NULL) f[k]=p; //9Kó else t[k]->next=p; t[k]=p; p=p->next; //￠ )Jò><9? a??t4§&? } m=m*10; n=n*10; 3 L? ′?0 3 L? ′?0rLTúM20NKó?Oj,ìy? K'?0 ?1E- r)?? h=NULL; p=NULL; for(j=0;j<r;j++) if (f[j]) { if (!h) { h=f[j];p =t[j]; } else {p->next=f[j];p=t[j];} } ?M6 ?Dfc,X`H1k"?? ?1k"? 8-12D List_Node *radixsort( List_Node *h,int d,int r) { n=10; m=1; for(i=1; i<=d;i++) //E 3úG! ′? 3 L? ′d ? { for(j=0;j<=9;j++) //??êKó? { f[j]=NULL;t[j]=NULL;} p=h; while(p) { k=p->key%n/m // 3ú/? ′ if(f[k]==NULL) f[k]=p; //9Kó else t[k]->next=p; t[k]=p; p=p->next; //￠ )Jò><9? a??t4§&? } m=m*10; n=n*10; h=NULL; p=NULL; //3 L? ′ for(j=0;j<r;j++) if (f[j]) { if (!h) { h=f[j];p =t[j]; } else {p->next=f[j];p=t[j];} } } return(h); } ￠ ?Dfc,X1k"? ?1,??? ?DfcE?*ü bYfc,XA?)D,?EW?èJGK+!DEW?èè GK+!￡?!,X ?D,ì à,X???81YfcA?),XG K+Y d!L??UEˉ> d ? 3úG! ′a 3 L? ′è GE;> d Csè ′!8è81 dEW?è ?Dfc,XêKè)[?Lc L!"? ?Dfc?/?0n,Xfc?"??