0\0\ 700 -- 0′?4????UY?? l M-?1R>< ?1R1k"??NNc1R?l 1R l |?1R>< ?1R1k"??` ?fc? l ?à>< ?1R1k"? E??E?? 7.1 ?Vé 7.2 M-?1R 7.3 |?1R 7.4 ?à>< 7.1 ?Vé ?Vé 1R>< *üb1R,XDB2?L? ü/?1R><?1 R><+ à?2O _,XDB2??êA?)?X?? M-?1R>< 81 ?í1R><Eˉ> V??/??0? ? 1? ü1R><1,?¤t(Mn,XDB2? ú ü1R ><è? 2??2?¤t(Mn2?,X ?/?2?èí/?E-2O 1R>< M-?1R>< ?M-?1R>< ü1RE?/?1R ><Dá ￥*ó ?ê?íM-?1R><Eˉ> ,X1R?0/?  M-?1R ? |?1R>< 81 ü1RE?/? ?1ú1R><á, ü,XDB2?|9èê5ù￠1R><?L8¤tDB 2?èí/?E-2O1R>< |?1R>< ?|?1R>< ü1 RE?/?1R>< ?6?? ￥*ó ?ê?í|?1R><Eˉ> ,X1R?0/? |?1R ? GK+ DB2?,X¤tDBNM? ?6??A? DB2??êA?)?,XGK+è G!￡t2?,XGK+ fá,ì àè?à/?E-/?GK+ GK+ ×811R ><¤o2?,XGK+,ì àè/?E-/?GK+ ?G K+ ?_VèJê> ? ,X? ?GK+è5à§ á  ?GK+? 1R üDB2?L? ü1R$μC?¤/?5ê,XDB 2?,XE?/?/? 1R ??1T )è? *ü,X1R5ê 3GK+1b¤t4-n ′è ü1R><e2?GK+1 b4-n,XDB2??êA?)??81><, üE- ,X A?)èí/? 1R?s è!8ê,X1R4§ph4-?RA? ),X<F?μCê?/RA?),X,|!5B×81><á , üGK+1b4-n,XA?)èí/? 1Rá?s è!8 ê1R,X4§p ?14-??t0NA?)ê0N?J\?81Y GK+1Rè1R4§p ?,X×81Y ?GK+1 Rè4§p ?6??tA?)è G4§p ?6?á ?? 1R><,X,|4§X 1R><?/?M2 &I#,XDB 4§Xèíbá à,X,|4§XèJ1R?"?á à?Z ¤P?1REózèYê?G?*ü?o(M!^,X,|4§X? 0′ú?4?14??4§X?? _4§X ? ?à><4§X,| 4§X,X ?/?1R1k"?? 1R1k"?,XêKè)[ 1RE?/?,X?U?0GK +,X!¨EWè1E? 1 3G !¨EW ?D ′9>5G￡1R1k "?,XêKè)[? 7.2 M-?1RM-?1R !7V0′1?8VE??M-?1R? üM-?1R ><TEˉ> ,X1R?0è ü1R><1R$μC?5ê,XD B2?,X,|!5Bê ?/?2??8VúA|A?14??4§ X></,XM-?1R>< ?,ìh,X1R1k"?? 7.2.1 NNc1R 1. NNc1R,X ??? NNc1R?/??1T ),X1R?"??J ??? ú1R><0?t4??><è ?1NNc><è3 ?1 Jò><èq ?*ü1R5ê4-n,Xa1R><DB 2?,XGK+Eˉ> !¨EWè81¤tA?),XGK+a 4-n,ì1èí1R?sèE¨ 2A1A?),X,|!5Bè ?è81,è? a?tA?)èJGK+a4-n  á,ì1èí1RBùèE¨ 21RBù??? 2. NNc><,XNNc1R ?M6NNc><,X2O _n? #define MAX_NUM 100 //*übn><,XKSz typedef struct elemtype{ keytype key; anytype otheritem; }Se_List[MAX_NUM],Se_Item; A? ü1R><èDB2?tD n ? n<MAX_NUM?èJú?, üD4?,X?? ?G￡ a[1]~a[n]? ?M6?à4-?NNc1R,X`H1k"?? int seq_search (Se_List aè keytype k) {// üNNc><1RGK+1b k,XA?)è //811R?sèE¨ 2A1A?),X!5B??c ?è úíE¨ 2 0 i=1; while (i<=n && a[i].key != k) i++; if (i<=n) retrun i; else return 0; }  Eˉ1k"?? int seq_search2 (Se_List aè keytype k) { //A?5BZ,￥?? ?,XNNc><1Rè1RGK+1b?n  k,XA?)è //811R?sèE¨ 2A?),!5B,X??è úíE¨ 2 0 i=n ; a[0].key=k ; while ( a[i].key != k) i--; return ( i ) ; } 3. Jò><,XNNc1R Jò><,XNNc1R?ú1R><04??><J1Jò ?,|4§X,|è*üNNc1R?"?1Ra?nGK+ ,ì1,XA?)? Jò><,X2O _nV?/? typedef struct node { keytype key; //4§&?,XGK+2O _ anytype otheritem; //4§&?,XJa?ú struct node *next; //? ?Jò><4§&?,X?J}Link_Node,*Link; ú1R><,XDB2?*üE-/?4§X,X4§&?></è J1? ?4§&?,X?J\?A?? íJò><r)?NN?1R üY4§&?,XJò?1R ><1RGK+1b4-n,XA?)è811R?sè E¨ 2? ?,ìh4§&?,X?J\è úíE¨ 20N?J\? Link_Node *link_search (Link h , keytype k) {//linkú4§&?Jò><,X?J\è1RGK+1 b k,XA?)è //1R?sèE¨ 2? ?R,X4§&?,X?J\è1R BùE¨ 20N?Jp=h->next; while ((p!=NULL) && (p->key!=k)) p=p->next; return p; } NNc1R1k"?1T )èí><,X4§X′?)?U"× ;> )[EW"è?J' nEW?êèápG?*üE-/?1R ?"?? 7.2.2 l 1R 1. l 1R,X ??? l 1R?U"1R><*üNNc,|4§X,è ?D B2?YGK+Yc? cêLZc?f?è3Aè l 1R ?E?*übíYcNNc><Eˉ> 1R? l 1R,X ????Oj1Ht1R><0 1R8× èè*ü1R5ê4-n kaKè!5B4§&?,XG K+!¨EWè81,ì1èí1R?sè úíè B!¨EW4§ p4y?1R8× èèVp k,X?bGK+,Xè B1 R><,XYc? ?-11R,XDB2? ?Y ?6? ü><,X! F?úè G üo F?ú$><è14?4áío$><Eˉ > l 1R×81 k,X?bKè4§&?,XGK+èí ? 1?n1R,XDB2? ?Y ?6? ü><,X a F?úè G ü ? F?ú$><è1hA14?4áí ?$><Eˉ> l  1R?!￡Eˉ> ? ?l 1Rè?U1R?sè4§31 Rè?Uú1R8× è4y?? èV!8G?áè,è1R ?sê1R8× è4y?0N G1RBù!6? 2. l 1RE?/?/_ A?Y1Yc? c?NNc><DB2?,XGK +c?? 8,18,27,42,47,50,56, 68,95,120?è*ül 1 R?"?1RGK+ 27 ` 59,XDB2?? a[1] a[2] a[3] a[4] a[5] a[6] a[7] a[8] a[9] a[10] 8 18 27 42 47 50 56 68 95 120 k<a[mid].keyèè? high low mid high  k>a[mid].keyèè? low low mid hig k=a[mid].keyè1R? s low hig mid 3. l 1R1k"? A?1R><, üD4? a,X a[1]~a[n]èè cè 1RGK+ k? l 1R,X?U!9Px? ? 1?5B??1R8× è? low=1è high=n; ? 2?"1R8× èKèNM? mid=(low+high)/2 ? 3?ú?n,XGK+ kaKèNM a[mid].key!¨EW 81,ì1è1R?sèR,XDB2?!8ê mid ? ?,X!5B× 81?bè1R8× è,X"0?DB2??J\ lowá ?è P?0?DB2??J\ highè? mid-1; 81?bè1R8× è,XP?0?DB2??J\ highá ?è "0?DB2??J\ lowè? mid+1; ? 4?G?á!9Px? 2??? 3?,è1R?sê1R 8× è0N? low>high?è G1RBù!6? ? 5?Vp1R?sèE¨ 2R2?,X,!5Bè G'!,XKèNM!5B?J\ mid× úíE¨ 21RBù? ?? l 1R,X`H1k"?V?? int bin_search (Se_List a, keytype k) { low=1; high=n; //5B??1R8× è,X"?P?0? ?Jwhile (low<=high) { mid=(low+high)/2; //Au1kKèNM!5B if (k==a[mid].key) break; //Rè4§3~)? else if (k< a[mid].key) high=mid-1; //4-n k? else low=mid+1; //4-n k? } if (low<=high) return mid ; //1R?s else return 0 ; //1RBù } 7.3 |?1R|?1R 7.3.1 ` ?fc? ` ?fc??/? *ü,X|?1R><è?M6Oj 4-?W,XM2E?&6?? ` ?fc??é` ??èWê5ù0Nèê5ùK YV??Bü? ? 1???M24?0?4§&?81Yo=$èíA14§&?,XG K+?bJo=$4§&?,XGK+? ? 2???M24?0?4§&?81Y ?=$èíA14§&?,XG K+?bJ ?=$4§&?,XGK+? ` ?fc?3 ?1*üE?&,X6?nè G` ?f c??é?èWê5ù0Nèê5ùKYV??Bü? ? 1?81W,Xo$?M20NèíJo$?Y4§&?,X GK+ ?bJ 4§&?,XGK+? ? 2?81W,X ?$?M20NèíJ ?$?Y4§&?,X GK+ ?bJ 4§&?,XGK+? ? 3?W,Xo ?$?F?` ?fc?? _Vè+GK+c? ? 62,15,68,46,65,12,57,79,35?X?,X?é` ?fc? V ò 7-4/? ò 7-4 VpíTE?` ?fc?Eˉ>  F! Z ?1k? tGK+Ycc?? 12, 15, 35,46, 57,62,65,68,79?èE- ` ?fc?,X?tG??U(MUè3!7+!8úJ/? 3` ?fc? ′? 7.3.2 ` ?fc?,X1R ` ?fc?,X4§Xn ?,???éM20N` ? fc? 4§&?,XGK+?bJo$?TY4§&? ,XGK+è5à?bJ ?$?TY4§&?,XGK+ è1 ü` ?fc?1R?tGK+ k,X4§ &?,X ????*ü4-n ka 4§&?GK+!¨EWè Vp k?b 4§&?,Xèí?UR,X4§&? ? ?6? üo$? è14?4á üo$?1Rè úíú4?4á ü ?$? 1Rèq!8?"?è1R? ?è7?,è1R?sê1R Bù!6?` ?fc?1R,XE?/?￡E?V?? ? 1?81` ??0N?èí1RBùè ? 2?ú4-n ka 4§&?,XGK+!¨EWè81,ì 1èí1R?sè ? 3?81 4§&?,XGK+?b4-n kèí üo$ ?4?4áe2?è ? 4? úíè ü ?$?4?4á1R? n` ?fc?,XJò?,|4§X,X2O _nV?? typedef struct node { keytype key; anytype otheritem; struct node *lchild× struct node *rchild; }Bin_Sort_Tree_Node,*Bin_Sort_Tree× ` ?fc?1RE?/?,X￡E??tE?&E?/?è81 *üJò?,|4§X,|èJ1R?0,XE?&1k"?V? /? Bin_Sort_Tree_Node *bt_search(Bin_Sort_Tree bt , keytype k) { // ü ?J\ bt,X` ?fc?T1R?tGK+ k,X 4§&?è //811R?sE¨ 2? ?A14§&?,X?J\è úíE¨ 20N?Jif ( bt = NULL ) || ( bt -> key == k ) return bt; else if (k< bt -> key) return bt_search ( bt -> lchild , k ); // üo$?e2? else return bt_search ( bt -> rchild , k ); // ü ?$?e2? } E-tE?/?3 ?1*üM2E?&1k"?r)?è1k"?￡E?V?? Bin_Sort_Tree_Node *bt_search1(Bin_Sort_Tree bt , keytype k) { p = bt; //?J\ p? ? 4§&?èe2?￠ 4§&??? while ( p != NULL && p ->key != k ) { if (k <p -> key ) p = p -> lchild; else p = p -> rchild; } return ( p); } 7.3.3 ` ?fc?,X|9 ü?é` ?fc?|9?t4§&? ?1*ü?tE?& ,XE?/?r)?è G?81` ?fc?0Nèí?4§&?0 ` ?fc?,X 4§&?× úíè814-n4§&?,XGK+ ?b 4§&?GK+èí|9 üo$?T×814-n4§ &?,XGK+?b 4§&?,Xèí|9 ü ?$?T? ?M6` ?fc?|9?0,XE?&1k"?? void bt_insert1(Bin_Sort_Tree *bt , Bin_Sort_Tree_Node *pn) { // ü1 bt ,X` ?fc?T|9?t+?J\ pn? ?,X ?,X4§&? if ( *bt =NULL) *bt = pn ; else if ( *bt -> key > pn->key ) bt_insert 1( &(*bt -> lchild) , pn ) ; else if ( *bt -> key < pn -> key ) bt_insert1 ( &(*bt - > rchild) , pn) ; } E-t1k"?3 ?1*üM2E?&,X6?r)?èV?/? void bt_insert 2(Bin_Sort_Tree *bt , Bin_Sort_Tree_Node *pn) { p = bt; while ( p != NULL && p -> key!= pn->key) { q = p; if ( p ->key > pn->key ) p = p -> lchild; else p = p -> rchild; } if ( p =NULL ) { if ( q ->key > pn -> key ) q ->lchild = pn; else q -> rchild =pn ->key; } } y*ü` ?fc?,X|91k"?è ?1\?? r)? ??` ?fc?,X?0èJ ????+?é0N` ????è4￡E??2??,X1R|9?0*ó??é` ? fc?? _Vè+4§&?GK+c?? 62, 15, 68, 46, 65, 12 , 57 , 79, 35?XE?` ?fc?,XE?/??￠0N` ??? ?èq ?ú!￡t4§&?|9` ?fc?|9è ü| 9!￡t4§&?êF?￠ 4§&???e2?|9!5BèR |9!5B aèú?4§&?0 ê$4§&?|9è4￡E? 9 ?,X 1R `|9?0è??+E- 9t4§&?4??,X` ?fc ?? ??` ?fc?,X1k"?V?? Bin_Sort_Tree_Node *bt_bulid (Bin_Sort_Tree a , int n) { // üD4? a,X a[1]~a[n] ),-ú?UX?` ?fc? ,X nt4§&?Y? bt = NULL ; for ( i =1; i <= n;i++) { p = (Bin_Sort_Tree_Node *)malloc (sizeof (Bin_Sort_Tree_Node)); p ->key =a[i].key; p -> otheritem= a[i].otheritem;; p -> lchile = NULL; p -> rchile = NULL; bt_insert1( &bt , p); } return ( bt) ; } 7.3.4 ` ?fc?,X?L8 ?M6ú ˉ/???A|A???V).B±￠` ??? L8?t4§&? aèá?E ?` ?fc?,X?Bü? ? 1?81?U?L8,X4§&? ê$4§&?è ?1,èyEˉ> ?L8? ? 2?81?U?L84§&?Y ?$?è′o$?è ?*ü J ?$?,X 4§&? a·?U?L84§&?,X!5B? ? 3?81?U?L84§&?Yo$?è′ ?$?è ?*ü Jo$?,X 4§&? a·?U?L84§&?,X!5Bèa!9PxB 2O? ? 4?81?U?L84§&?,Xo ?$? M20NèíOjR ?U?L84§&?,X ?$?GK+??,X4§&?? G$ ??o4§&??èy*üTM6,X?"?úA14§&?￠ ?$? ?L8èJ*üW a·?U?L84§&?,X!5BèE- ?)ú,X 4§p?n6?ó±A??L84§&? a` ??,X?Büá ?? 7.4 ?à>< ?à>< 7.4.1 ?à><,XVé !M6?4?,XM-?1R>< `|?1R><,X(M&?? Z￠1R><RGK+1b¤t,XA?)èF??U 4￡E??2??,XGK+!¨EWè1.BnY1A?),X,|! 5Bê1RBùè1RL?êKèa!¨EW ?DYG? VpúA?),X,|!5BaW,XGK+Kè?0?? t.Bn,XG2? HèS!￡tGK+ `?t ?,X,|! 5Bíhè ü1Rêè ?L??U BíhG2?Au1k?4-n ,XGK+ kíh,X H(k)è ?1kA?),X,|! 5BèE-8Vú?U?4?,X ?à><1R?"?,X ?? ?? ?à?D ?àúA?),XGK+aA?),X,|! 5BíhCK9,XG2? H/? ?à?Dè H(k),X4§p/? ?à  ? ?à><  B ?à?D?0?,X><èJ ??? ?1A?),XGK+7? ?G￡è B ?à?DèAu 1k?íh,X ?à  èJ ü!8,|A1A?),XY??' íA?)Eˉ> 1Rêèa B4-n,XGK+è*ü à? t ?à?DAu1k?4-nGK+íh,X,|  èLc aEˉ> A?K??1 ?à>< G?/?,|6?è ?? /?1R?"?èE? úE-/?1R?"?/? ?à1R ? ?0U Yê ?6???)?á à,XGK+J ?à?D Au1k,X ?à  ,ì à,X??è' 5à à?t,|!5Bá ?6?,|?tA?)è?àúE-/???/??0UèKY ,ì à?D,XGK+/? àA?? ürLh*ü? 0Uá ?6?`<FS!,Xè?àE?E?rCé4§?Z?/? ￡??0U ??·??0U,X?"???M6?àú1T?U ?4? ??? 7.4.2 ?à?D,XXE? ?0? ?à><èGKXE? ?à?D?J sí ?6? S???4?GK+,X ?à   ? ú× üH t  0NKèè G*ü??GK+0 ?à?D,X7? ? G￡JAu1k4§pLcú×è1?￡??0U,X ￥*ó ?6? ??  *ü,X ?à?D,XXE??"?Y? 1.,èyn "? aGK+êGK+,X¤t4???D ?à  ? G H(key)=key ê H(key)=a*key+b J aè b DèA×H aa b,X ?1S ?à   a8× èa,|0NKè8× è?7è? 2.BüD a-"? aGK+>¤tá?b ?à><><KS n,XBüD mHL8 ak-D ?à  ? G H(key)=key % m (m<nèA?J n ?à><KS )? BüD a-"?Au1k1T )èE?*ü8× è?èHD m ,XEY?\G??UèVpEY?á'è?{*óEW? àA?è S ?à><YEW?,X?0U? 3. G? a"? aGK+G? a,XKè′! ?à  ?+bG ? a,XKè′!Da sGK+,X!￡?!D+F?,ìGè ??U sGK+,Xú×Lc,Xè1G? a,XKè′! D0 ?à  ?n3Lcú×? 4. l ′"? ^GK+l ′?!D,ì à,X′F?úè' a aE-′ F?ú,X ′t0 ?à  ? üGK+!DEW?èè!￡ ?!TD+,Xú× ? ?êèG?*ül ′"?èk,X ?à  !¨EW ?? 7.4.3 ?·??0U,X?"?  *ü,X?)ú?0U,X?"?Y? 1. ?n "? ' ￥*ó?0Uêè ü?0U!5B,X! aLE￥?R ?1 ,A?),X0NK? )?*ü!8"??·??0Uè?U{*ó?t v#c?è"?-!8c? ??R ?1,A?),X0NK? ) ??1T ),Xv#c?{*ó?"?Eˉ> 4??v#è G ' ￥*ó?0Uêè￠ ￥*ó?0U,X,|!5B,X??t,| !5B??q ?NNcv#0NK? )? 2. Jò  "? úYGK+ àA?,XA?)Jòy??t4??Jò ><èúJJòJòy ü+ ?à?D.Bn,X ?à  ? /,X,| )? 3. a ?à"? ' ￥*ó?0Uêè*ü o?t ?à?DaAu1k o?t ?à  èVpa ￥*ó?0UèaS*ü o?t ?à? Dè,è7?á ￥*ó?0U!6?E-/??"??U"NX?UA?5B ?t ?à?D,Xc?? 4. $v? "?L8 ?,X,| ê?/? ?><?è oê?0??t@E$v? ?/?$v?><?è' ￥*ó? 0UêèA?) ?1,9E-t@E$v? ? 7.4.4 ?à><1R ?Júd ?à><,X1RE?/?a ?à><,XXE?E?/? ?? 7èèíb4-n,XGK+ kèY';?><êA?n,X ?à? D"k ?à  ×81 ?à  ?!5B?YA?)èJ èJGK+á1b4-n k,í B?><êA?n,X? 0U?)ú?"?"k àA?,X??  è,è"k,X ?à  ?!5B0NK?êJA?),XGK+1b4-n  k!6×Vp"k,X ?à  íh,XY,0NKè0N K?èí1RBù×Vp"k,X ?à  íh,XY,0N Kè,XA?)GK+1b4-n kèí1R?s? TE?1RE?/? ?1￡E?V?? ? 1?Au1k?4-nGK+íh,X ?à   addr=H(k); ? 2? while( (addrá0N )&&(addrGK+ !=k)) Y?0U?)ú?"?"k??   addr; ? 3?Vp (addr0N )èí1RBùèE¨ 2Bù μC× ? 4? úí1R?sèJE¨ 2   addr× ü?)ú?0U?"?,ì à,X ?à><èJG 1Rê KèèE?qC*b ?à><,X>?? ′$è ?à><,X>?? ′$ ? >?? ′$C^?è><?9,XA?)C^?è ￥*ó? 0U,X ?6????è ?è><??9,XA?)C^?è a?A?)êè ￥*ó?0U,X ?6??C^?èí1Rê Eˉ> GK+,X!¨EW ?DC^?? ><?9,XA?) D￠= ?à><,XKSz