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part1
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û뵽ͳζƵŮ˴һȣŮûͱھӣΪ˾Ȼѧã
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part2
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part3
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8
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9
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10
10 
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11
11 
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лٿϻǰŮؿھһʱ
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12
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ⲻǸһ𣿡

13
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14
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ų̵ĵҲûɫ
ǿһֱûôԣӹȨȻζĺóԣ
ﾭҲܺãϴ
صͷܡ
лٺͽӣл̲סˣܱҵ𣿡
⻰Ц

ϡһ˾㷹Ѳоɾ
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лٽŲסŤͷɻؿ
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лŻɰĴգЦڰ
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лٵĺգ³ϵģӰʢͣһСӹҼϴȦ
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л˵
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15
15 
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ȻͿԼĺڡˡ˺
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ɣʻ
Ӿ桰罺ᡱˡ
磺
ͬһˡ

лֻϳϢģ
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лֻٰû·ϡ
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ݣûױֻ˸֣¶һ˫ۿ˫ۡ
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˱ԵĳָƿŽȥؾͿһɫӰɳȥװɫĵϲȳһצӡ
죬»ɳǰ
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лӪҺı~~~[ͷ][ͷ]

16
16 
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ٽ٣滭ȤлҲԽԽæ
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ֱһҹȣлҴܣյѹסаеĻʣϴɾܵСԶıһƿơƺͼ֧裬ߵ·ϡ
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17
17 
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쳤ӣƣ⻭ôҿӣòửǳɣ[][]

18
18 
һְ
Ů飿
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19
19 
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⼸Ϊ־뵽֮ǰ£Щ㱣һֱ˯߲㣬ȷʵ˵һɫ̫á
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ߣǲ𣿡
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Ҫ֤ݣֻҪ˵һ㡣
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20
20 
л¼ھӵĿ
ڰסһǰƫͷ
תֽ۽ǵᡣ
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˻ϸĺ壬ı
лٻ˺þòֹͣлһ˿ʣΪʲôôҡ
ûûС
΢˫ۣû뵽ôñĳĵһ仰
лٿԱӣ΢΢

ϿԷλãѳԿ׵ݸˣ³Űһ·Ĵ𰸸л˵ǰӦݡ
лûҲֻ붺ͷá
ϼų⣬̰һƽô𣿡
ţ
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š
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21
21 
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ȴݵʱ,͵ز䵽,ˣ
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лЦˣ

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ϰĵ׵ʧѹȥɳ˵㡣
յ򿪣ԡ¶ζлٰˮŵ輸ϣİë̺ϡ
תлٱŵһһΪ˯ˡ
תѲ輸ϵˮݸãȵ㣬ơ
ϽӹСˮҵĵƿ
ϴ裬βЩʪشǴõζԡ¶Ҵ̺ӵĶһһƵϱǼꡣ
ˮ˷ۣͨˮʡ
Ϻ䷢ɣԼ̰ģЩ̰Ʈˮ棬ںΪֻ̰ըˮ׵ȴһθ˿
˿
лٰѿյңڲ輸ϣ˵ϾȾԼ¶ȡ
ٵϮҲζļӳ֣ϵԴʼΡ
ǽϵʱӵδ죬ŽıݿҪվǹ̡
ʹл㹻ܵ㹻ᣬǾò
ĵ׵ˮһһð̰ˮ棬ߵǰ
ˣȥ˯ˣҲϽ˯ɡ
лת׼طȴ߬ס
ȵĿĴ
л˫۵ɴ󣬡㡭ˡ
ʹסģǴܣϻ֪˵ʲô
ԣˡϷſһ˲ȥ
ˮڽϼ䣬ϵƿ˯µһ˽ȥ
ָ䣬ϸϸĦһ𻨡
л岻ܿصعɳϣϵĴĲ̽
ˡлٴѳƿ½Ķӡ
Ͽ±պϵţɻɳë̺Լýʵ
ˣ֪㳣֡

лٱţϴð˺Ⱦ˼塣ָ˴۵˷ã
ûڵһʱƿϡ
ֱӣߵǰվ˰ΣȻҵİţѻ˽ȥ
ܷԱߣΪϾǰ
ļ䱻л˦˦ԴҵĵƹصֻһյСҹơ
ڴϣۣȴ˯šͷֻ𶯽Ŀĵ˼ϣֻ̹鿴Ϣ
ҹˣϢ
һˣ
л˵
ϣʰʰҪϷ[ī]

22
22 
ҺôһϷˡ
лޱذֻ,£ǿԼ˯šǿ˵Եʣһֱǳ˯״̬
,˿ֻ,賿㡣
ʱȥ,棬̫,ܴ˯
ĵ,лٻƿ,Ѿ΢΢ס·Ųһ,ͷ˿ɳ˯ˡ
ϵ̺Ӵ󲿷ֱߵɳ,Ϊ̲̺,ɳԣüͷ΢˯Ĳá
֪˯ˡ
лپŴɢĵͻȻðͷ,ѵ̺Ӽ¸ǻϣߵ̨͸
ֻǲǴϢһ򿪿ǳʱʱϢ,,лĿ䵽һӱ䡣
ڱ𣿡
лûء
֪ͺϵιϵƺҲûбҪ͡
ǳϢϵʱǲӦ
ӦĿǰתӦһֱ
վδӹȥԼ,ԽԽǿҡ
лٷ˷¼,ӷֿʼ,¼ʮа˾Ŷϡ
һڣϸȼձը
۾һС
ϲϰɣ
̫ըѣлһɴѳΪţ˳㲻ʾ¼
̨ϵҡϣӵĻһԣɢɫ˼ɢյһϡ
Щգɨɨߣȴ֪ʲôʱ˯˹ȥ

һ˯ѣлٻЩɡ
ϵë̺䣬ʱϵ巢ᡣ
վֱۣĿ䵽µë̺һ٣æȥ
أ
һˣɳϵɢлٰ̨ϵë̺棬ԼϿĵطϤķָ̻޵ò
лûɵøеʧ䡣
˸䱻һӲţлһ㶣תƿë̺
ɳ϶һֱлٰѽɫı
ʿȦѬ̡
򴽰ֱ˸Ƭϣı䵽ˡ
ʱ䣬ߵ㡣
ʲôʱߵأ
һֱûлظӿͷлֱ׼߳ȥš
ֱĿģţͬʱҲš
Ժһֱܵ˳ǰ
Ϻӣһ£ɡ
簡١
³лٸо顣
ϽűߵС䣬߬ı
Ķˣ㷢Ϣûء
ǰֱݸ
Ͻӹ˼ղʰûֻ
ţлԺֹƷҪЯ߾Ͳˡ
ע˵㲻Ǳˡ
ѱ󴦣ҸԸߡ
ѺָֻյֳȣԴôһС
Ѳ
лٸоԼ·硣
ûӮ
лٰѱƿܾҲŲҪ
ŶĬһ˲ѱԼϣմ˵лٵ£ůڵġ
ˣ֪㳣֡
ôţְԼοˣʣ緹𣿡
лҡͷûС
˵ϵͿ𣿡
ʲôͣ
лɻؿ
̾ڹЩˣ΢¯һ£緹˯
ģ
ϴ󷽳ϣ԰㲻һĵġ
ϻûɢȥĵָӡŽСлٶ˺þãûסִ˴
һ㶣ЦڸҸ°
лٶԼָðջгӡ
Ź֡
ŶգۣƳҪȥǳһˣ
л٣˵Щ
ϿһЩ˵
˻ϵı´Ҳҡ
л٣
Ťͷߡ
ϸæϣ½ǣ˵Ķġ
֪ҵг̡
Һ񡭡
ôһϷˡ
ûлٻػͷ߽ݸ𣺡ǵó緹һ
ް˼Ǳָɢ
лٿ½ĵݣӦٶ۵Լͷ
ĪĻԼԼоʲôˡ

ôӹϵ˿ϵĺۼ°ͣеͰ

סҽ½¡
ͣ½־ǻҹ¸߸Ь
ڶ칫ҵЬ˷ֱûйһҸ
ͷʺš
ⶼʲôʲô
仹ҽͯʲôⶫţûԲ
ֲ΢ôƭ
΢οŹ˾͵ش˸硣
ǲǸðˣ첻Ҫڹ㲻յ㴵ںָһֽû
ɣҵоң΢˵
ǸԺ󲻸ˡ
𰡣΢δյǰֺõҡҡ֣ԼΣ
֣
*
ʼ磬ûӹ䣺Ҷ㽲ˡ
ߣӿߣ˦󣺡һ㡣
ȵȣϽסаûꡣ
ŲסŤͷڴؿʲô
˻ҹͣ˻ҹĳա

ˣأ
л˵
ԣˣ֪㳣[][]
л٣ǲϲ㡣
ϣԶ㣬ԶԶԶԶ[][]
һ֪ͨ
ǸԭոԪcosţ̫æֻܸһ죬ʱûĻӦƴͷϸˣһ㣨˽[С]Ҫѹÿ٣˼[С]»ҹ٣˳һ졣[ͷ]
ŵɲ
֪Ȼˣ´٣Ĳ룬ȡǰᣨд˵û˵[С]
ĺܸлҵĶСɰǣȻ֪Լдûпô[Ц]ƨÿο߸߱ﶼ죬ϰֱⶼҸɳüǵñ[]Ժ[]Ѱмʱ֧~ÿ͵ʱûаʱ[С]
ллĿٴξϹл~~[ͷ]

23
23 
˼ϡ
лٻؼҿסµĻţ,ϻŽ΢¯ȡ
ûʢѾ
ԼıóԶˡ
лСҧΣۡ
ϽҪϷɻǸ,Ȼϱë̺,ǡ
лٿм,üһ
ʹů
ϴɾóֻϷϢ
лٲлл,ܺóԡ
أյ,лٺ
˵Ҫǻ,ٸġ
лٴ˸Ļȣá
˳棬Ϥͷӡ۵,ȥϽǱʮĺ
Բ,ˡ

ܻһ𣿡
ϿҪļ,һȥɡ
лٵ㿪ӣвһ¡
Ϊ֮ǰ˽ģ׵ļջó
Ρ
лٴ,һϢظлģξͲ鷳ˡ
Ϣֻӻɳϣתͷʰðš
*
лټѵҵһλ¡
Ůʿеڹ,òŰϻժ±·,ǰ飺ʲôˣ
л٣
ϴηŮʿĸӣصûϲȴû뵽ӭԼ
ŷյ϶ŵƷǡ
֪Լʱ򲻰ʰȱǴ̳еˡ
лƳϵ̣ʿͲͨ,ʣ,ʲôʱ˸尡
ŮʿƫԴ,ƷЦ˵ϴ㲻û͸ҵġ
˻лٺԼ֮ǰûüͷ΢Сĵ㣬ƭˡ
ϵƭЩġ
ŮʿһۿСžţͣ˼ҵʱ㶼ء
ŮʿܣеʱҾͺԺʶˣ꽻㶮
ĵؿ˼ÿ꺮ٶعңͲҵĸŮˡ
ֻһֱûʱá
л飬ԼϴѧٶڳŮʿÿҲֻܹһ档
ұСһҾͲֺнЩƷ͵ġŮʿָŵϵ͡
Լ̫ãĺõĵһӦǾ衣
Լֳ߲һ
뵽⣬лЦԺ󲻻ˣһᾭ㡣
Ůʿбۿạ̃ĳġ
衭лŮʿЦѾʼڷӡ
л٣
һһʣǸǸˣ
Ůʿ
ɣ
лپĲɵ壬ûӾͱŮʿȫꡣ
Ůʿ᲻õذѽԵһԶѵø߸ߵİܱ죺û
лձֽ˿ĸףܰϵϵʽƸ𣿡
Ҽһ
Ůʿ˵㲻ǶȤ𣿡
ⲻһлҡͷ˽ϵŮʲôӰɣ
֪𣿡
ŮʿεؿⲻǷϻ𣿡
Ƹˡ
лٿ΢ŵϢס˽ȥ
ϷǱϡ
İĺɻͷġ
Ůʿôһʧӣ
лٷͺ룬ҡͷûа
ֻ𶯣лΪǺͨͷ鿴ֻû뵽һֱܵǸϸϢ
ϣæ߾ͺˡ
һ޵ı
л䴽̵Ƭæš
ϸϰŻأϲΧ尡𣿺ѶֳԹˡ
л٣Թҡ
ƨĵˡ
Ϸ˸Цı飺û£ҿԽ㡣
л٣ˡ
ϢʾͣסһҲûȵϢ
ַʵԸ£ա
϶Ϣ鸴ӡ
̾˿ɻ󣺡̸̾ɶ
ָĻɾɾݺݵ˵ľͷ졣
ãڡ
֪ˡ
лٲͣתֻڸܵĵ𶯣æؽֻ
ϣϲһ𡣡
ŮʿͻȻǺͷ뿴ֻȴлٶ㿪
лٲ֪ʲôɴֻ´ض
̧ͷֱŮʿ̽
ҸŮĵô𾢣ŮʿƳ˱עһ֡
лٽͣŮ
Ǿǳ
л٣Ҳǣھӡ
Ůʿţ֮ǰôû˵
л˵Ҳû˵Ů¡
Ůʿ룺Ůûϣ֮ǰҪɹˣͲҪҶƤ
ԼĸһԸ
лٷֻ֪ûһƲͲǸˡ
Ůʿʣ
лٳʵͷˡ
ˣ
ŮʿԭһϣԼŮѾ˹˻ӣǰ˼ѹȥ
ļ磺Ҳá
лɻ󣺡ʲô
ŮʿܣҺͳĸ֮ѡҵʱҺͿʼͷˡ
˲Լͷϡܿǰķ飺ϧǸľͷӲûĲԸرɵİסǼѡһ
ѹŮʿؼңѹԼܸܵĸ׵ĵ⡣
ԭǴ
лҧ֮ǰô˵
ŮʿԴĵ˴Ŀڣ֮ǰ˵ȥ𣿡
Եߵˡ
Ų۾廳ȥŮѴơ
ʲʲôŮѡлٽͣ裬㡭Ҫ˵
Ŷû̸ɰŮʿЩʧش۾һΪŶһٸҿ
οţģֿɢġ
лٴҧķףûе£Ҿġ
Ůʿ¿عΣָ̣ŵǿһֻӵ壿
ͣزֻ
һ仰˼ϡ
Ůʿ۹ⶾлҡͶ
һһչˣ
ŮʿۣҰıı
л˵

Ůʿϴ~

24
24 
Ҫ
лһڲ,ŮʿڴĿ˵ûʲôչ
ѺϷ˼Ůʿ򵥵ؽȻʡЩ˵ġ
Ůʿؿ빥θ
лһѲˮ,ĸô˵ûѲˮ,˺óʱƽ,һֽǵ©Ĳˮѹϵ
һ
Ůʿɸֵضôʱ׷߶ƽǼȦ
л֪ĸҪԼĻԻʷ,ּ̧ʱֹ
˵ͦõġ
Ůʿ⸱ѼӲ,һԼ
ԼѾͷھ˳¼Ѿͷһʧܺ,ϱԽԽٶۡ
лټŮʿͣغȲ̾ù衣
Ůʿ,֪´βѶͱˡ
Ŷ
лٷӦ,ɴۿ

Ůʿݲݵس˶ٷ,Ůʿʻȥ
ǰŮʿĳҽ¡
лɫڣ㻹øŮ㿴ɡ
*
ص,ĵسһţ滭Ȥȱܱܷͷϰʱ־Ĳϰʱ,һ¼١
˵Ƿż,ϰµĵڶΣʵҲһεְλܿա
˵زˣ˴лֽٰŵһ塣
ƣˡ
ſ϶ŵûĻ㷭˷,ΪӸĻĳɾ͸ʧ,ֻʦһСʱǰϢ
ĵƱյĩһڽǻչĿչ,ȤĻԹһ档
лٰѻؼʱ˳õĿݻһɫŷ⡣
Сĵذŷ𿪣չƱ
ʹܾûзƷʦÿοչչƱ
лӱ˼꣬¼ڼʺûʦһ
Ӧʦѧˡ
лѹѹЩ۵ۿô֣õʦһģллƱ
ʦصúܿ죻ڴĵ΢Ц
л˳ȥһϵ˷˴
Ѽĺѣ˻ʺעʱȴʧһֱû
һĪˣл롣
ϵͷһϢعǶ
룺ҲĪ
лٺ䷢ߵǰƿɤӣȴʹش䶳㡣
ϰڷĹ˹վ
Եɨһ飬ʮ׳ζâζࡣ
ʲôʱԼӰâأ
лٴ΢΢𣬺ͳһâζıܣȿߵɳϲԼԭȾơ
ˣȾ
ѱԼϣ²Ų𿪺һһڳš
ë̺ϣͷɳôתƣо
лֱӣѳԸɾıܺͰתͷɳϵȾϲֿ˿ۣȴûô۵
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ɳԽԽֻ׼ѡµģȴײؽӵĵ绰
磿
Ƕ˷óһʱĸO@лƵֺһ
ڿڣƵģ١
ţлٿɳ£š
˻ʣ˵ô죿
л˫ȱֱָ촽һʱû˵
˵͡Ů˵Ҳ֪ǲײ˾ơ
лɳ˵㡣
лٵĺйðɣҴǸˣ칦Ⱦƺҡ
죺βƿʹæˡΪһͣǸһңӺ¶ˡ
˵Ϊʲô
Һ񡭡еϷˡ
ϵڶѭţлٴ÷ףСӴӶɢЩʵӡ
٣лһֱû˵ֻһۣûҵ绰
̾˵ˣͶҽû϶͵û˵
˭˵Ҳˣлٴ

лûӦʱ䣬ɤʣڻǣ
ǡ
ʱ䣬öƻ㡣
죬˵һ飿
лѾѻƱãοˡ
жеޣû뵽ô
أҵĺýãڡѵַлٺЩǸ˵˼٣Щæȥ㣬ҵ»ҪȥμӸ񣬵ʱҰѷŵǰ̨ȥ𣿡
лٶһ٣תŻչƱֻãôô
OKȥưɺһ٣һǧ
л٣
⵹ɲء
*
صʮһ㣬Ƶʮлپ͵ִĿĵأѾƵƬĸ磬ûֻյ
٣ܲڴһ£ܺˣһ̧
ֺˣ
лüá
˸жСı顣
ûȶãƵתŻתлٱŰǸϤӰ̧ǰ
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лüͷø
ϽŲ鸡ǰߣµͷڵסӡʹŲȣҲһЩ룬ֻ§Էˤ
лٿƬ¶İ𪼡ɫԼķɹѵϡ
ϱͻ·סʶϵ·˦ָմ죬Ϥζ˱ǣ̧ͷŵǰˡ
лٻûӦͱ͵رס˵ıǼϸϸľĦҲΰɣ
羪ǰӵˡ
лٶⷢ죬ƿȴϱóĽ
ſ绹⡣лС˵
϶ֱۣ۾ˮ󣺡ﾭǾͿԱ𣿡
磺
лٿԺӣͷתЩǸĶ˵ҪȥɣҰͻطٺ㡣
һ𣿡绳ɡ
Ӧÿԡ
翴ӣһûУˡ
š
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лٿ䵭ԺҪȾˡ
ϸ˵ҲȣȺ˺÷һֱҡ
һ˵һ߱ƣƽֻôһ㡣
лټ۵ӣûذĵ
ۣϱ죬ֲ˲
лߣȣ§ҡ
ذִϣûȫϡ
лһ߳شһ
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ﾭҲǵĶû˵
㶼ûϢ
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ϴ˸ãʵĲ˵
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лٸһˮվ߿󣬲Žͣûֻ
ƭˣϻ*˻Դ㿴ֻġ
лٱż򣬶ǰúݵˣô֪
Ϻߺߣ򴽣Ҿ֪ǲҡ
л۵Ĵƫۡ
ίҪ⳥ң
лЦܼǵö٣
ϻգۣӦöǵ˰ɡ
û˵꣬ͿлٴսŴлٵıǼ⣬һʱ˺
лٺȻ̧صĴ
ϻŴؿŲ⳥
лüҪʲô
ϣҪ档˵ָָԼ촽
лٹûĶóչƱǰ˻ΣСƵģģȥչ棬治
϶ǰƱʧлʱĳĬй
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ϰһģһĻչƱͳҡҡҪȥˡ
üͷ΢Դ٣ҵͷΣֻţΪʲôҵǰƱ
л˵
磺ã׸ж[С]

25
25 
𣿡
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Ѿ̱ɳ,һģһչƱڲ輸ϡ
лùչƱ,ϵƱʹڰѹţҲոµһ
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,Ǳ,۾һ졣
ŭǰûò,ȴƼлٵԼԽԽ
ۣԹԵǰա
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Щߣֿ⸱ѵ,ͷ
лٺȰ·,ȥԡ׵ˮźá
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ܸղһСᣬûǰôأһ˫ֿʼл١
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ָ顣
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Ϊ֤ϴ˫۹ˮˮ
Сһ
лٱЦţ֪ϴ̫ˡ
Ŷ

лɳյϢ
𣿡
л٣Ҫһᣬ˯
磺OK
ʱ䣬Ѿȥ˰СʱվЩǵԡš
ϣߵԡſں˺
˻Ӧ
лֺһˡ
ס֣׼ײȴûϵϸûš
ԡƣлۣˮģһʪл½ĺɣһһ߽ϵ֡
ߵԡǰſҪԡˣһǰҪ
ϱǼµĲλˮУͷΧϢһͬлٸļ磬Ͼۡ
Ƽл٣ְѴǵĭĨȥؿ
лĵԽԽѵ⣺ҲǸ˵̫עʱô˯ȥһˮô죿
ȴƵģȻԵض
Ϊ˱һ㣬ɽײʼ𣬱һȦȦݺΧţ֡
л򴽣ת˰ӣԡ۷棺˸Ͻ
׼ߣ˿ס˲ܿƵص뺣棬ɽݵذ
ϰлٷ˸棬·ˮʪϣճ˵ߡлٳԡױڣϣܲܡҪˡ
û˵꣬ϴǰסੲݵĴ
·ɽײѹȱĿ
̾٣Ŷ
л˵
ϣ棩˵ʲôŶ[][]

26
26 
˳ְѳԶ
лٵȦס,ꡣ壬лͼԡ׳壬ȴֱϿ˻ȥ
С,ϸϸܵ,лٿʼΡ
²֪ʲôʱ򱻰,Ưˮ档ϴƣƤӡһ÷
лҧ,ϵֽɿ,л۾ˮס,һƬʡͷѹס̣߳ȴｻӰ
һĵ׷ɢ,ˮŤ,ɸ,Ƥ
лȻѣֱ档
ϱԶԡײһ,ŷ۵ؿڣؿл١
л̹²ݲݵ׻ϣԡ,ùϵԡ۵ݸ,ת˳ȥɡ
OO@@ߵ󣺡١
ȥлԴӣŲһһٵĴ,š֨һ
ȥˡ
½ǵˮ֪ʲôʱѾл߬,·⿪,վԡ£ˮɢϵĭͷϵĺָۣ⸲棬Щ飬ȴֻ
ѣһؼȡ
л̾һ
ùһԵԡ۴ϣվھǰȷ۶ʵ󣬿˳ȥ
ԵųϡܿϹĻȣԥƬ̣û߹ȥѰȡϣƳŵĳ£ŵһԵ¨ȵڶʰİӵ
һУϰʱһۣ˲֪ʲôʱͰ͵
лűӣһỹȥ
Ѿ˵˯ȹڴ룬лٿŲŲӵһǣĴһڴؿ
лҡͷѱӸǻصϣҲ
ЩʧĿ
лٵ½ʣΪʲôղš
˯ɡлٴ
Ŷ
лٿʹӣȷˡ
ıӰ׼ߣͻȻҽ˯ǰ£ҾԭĮ
л£ƢĻأʲô£
Ϸ˸ǡҹ
лΪ˵ź棬û뵽˸³εҲᡣ
ģƾҪ
лٷļ磬ֹĶ
ָ۽ϣ˯ɡ
ܵĽëɨģջȥȴץס
ҲУ˯ߣǿ
á
˫ֱһֻ󣬹̫۵ԵʣûãƽȵĺлذֳأڻƵҹ¿ϵ˯ݣʲôΣĴ΢̣лپӦҹ˯ˡ
ʹὲ
ϴմϵķ˿󣬿ĿԼ繡
ϣǽһУ˯ˡ
лٹҹƣںڰ
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˼䣬ҵĿꡣվڷſڣ˿ţȷ󣬰ѿӦϿš
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лٽŲһ٣ɻضķ顣
ûλðɣ
̧ͷŮӡ
Ůɳϵ硣
Ůһ㶣ҧ磬ǰ̽ãˣߡ
лüڼ߶ˣ֣ѣл١
һ䣺
ŮĽԵһȴΪĺλɫ
ĳĹɿˣ¹⸱ԵЩ㶡
Ǹزס˼СŮлۡ
ĵ뵽ϣ˵˼һֱ׽͸
ȷ
лԴЩۣѰŵɳϣһλ
Ȼվŵߣɻ󣺡ô
ԭΪ˷һֱվźԿлк˼Ƭ̣һƨԱߣлл㡣
ɫѿ
꣺ղվô죬ˣҪɣȥɡ
лٺټ繤ʱӣô˵һʶŤͷСķӦѾˮ
л٣
С벻֪ߡ
翴ίӣʶԼ˵ˣûͣߣ֪֤ʵ
ñ˿ĻᶼûУô֤Щأ
̾˿˰̫ѨһƣҾͲ˵ˣúɡ
ҧ촽ǸҴˡ
һġ
վòлٵͷǽˡ
лٳָ𣬲пѡϲһһЦöġ
žžû˶Զ㻹
лһۣԴˣ
ҳʲôף˵ҪԴҲǳĴס
𣬡лҡͷнֹʳ
ȥģ

лٰѰͷ󿴵ڱǰġ
ڸ
籧ƿƣƳ㲻ҽ𣿡
лٵ£ѾѾưڳһţʣȣ
ɨ㲻ϴ𣿡
һ޾ơ
л٣ԡ
һڣ˰ɣڲˡ
Ул˹ơƲ𿪣˹غš
ʣô
л٣˯ˡ
˻°ͣ˯ϴġ
᣿
˼άɢҰ죬оơƶûζ
һ޾ƣӽͰһ顣
٣һҪעⰲȫ
ȫ
ǰûʲô
лƮ
ϸСһҧؿڻʹ
ǵע⡣
лЩϿɵصͷ
ԭǰο֣ȴ˼һ仰Ҳû˵ڰаѾƺꡣ
ʰã˵˼٣⼸Ƚæڻǹˡ
лʼ磬һνû£ôô˵ͻؽˡ

ûϵȥô졣
лôΪɣ
ѵˣ
˼ţлٷ˿µĺۡ
á
˸á

ڶһ磬˴˵лθڲãֻҨһࡣ
ҸλţǸ£߾Ͷʳʣ㣬ҿԱ
ţһ٣лٿһֿСһۣƵصͷá
ˡ
⣬ġ
ЦȻԱߣζϮлٸоԼ߹ͷˡ
ľͷ
ڿƲ촽ţãﰵ²ۡ
ߵʣ㣬ܼһ΢𣿡
УлˬͬˣóֻѶάݸ
лл㣡Цۣĵؼ
ǹɲþַӣԷô࣬ϳԵе˰ɣ
ƼƵ񣬸ϽѰԵĺٺðɡ
ǿ˵ġ
ǶҵĽ
ͷҲû̧ĳԷ
Ŷ߳ͷµؼƷǰİӡ
лں࣬ڸǣһС⽰ڷǰ
һ㶣̧ۼƤЦⲻЦ˵ܣ
лŤͷ֪ʱվ˵٣⽻һ㣿
˭ҳܴˣ
ûлٷӦһϤŮͻȻл©һġŸ߸ЬıƽҲߵǰ
˷ݾӨ͸зڵлǰ٣һ𣿡
ϹЦ˳ְѳԶ
л˵
л٣ľͷ[][]
磺Ҳòȥ[ŭ][ŭ]
ߣ֪[ѿ][ѿ]

27
27 
ʲôû
лվ,ллѾԱЩͲˡ
ɫеѿ,ɹЦ
л,˵Ȼطˡ
õ,ţ⣬Ū˵Ϻͳ,⽺ߵ,Ե,˷ˡ
߸ܵλ亹ֱ,Ц,Զ,Ҫʣǲ˰ɡ
緭һۣƵԼǰ,Ȼسţ²ۣղŲƫԣֲˡ
ԭزҴ
ϿлԶ,ʶȥ,ȵҡ
߬ȭ׼Ҳȥ
ܣģ˿ţ̣Цؿ
Į˵ûʲôĵġ
,㻹⸱ӡ
Ųס
ֽ˲,Ц˵ֲǷ,ôҪԣͲˣ
㣡ͷŭ߳ܲסЩµ
糰鷳ȰѼ㵢˶ꣿò׶ˣϸʲô
ʼ磺װ鷳Զ㣬赽ǰ̫ˡ
߳½ǣʾע㡣ְ
֮ǰǿϲķϣӲ˵㡣ٶԼ֪ͦõģڲ˵Ҳͦõģףúϡ
ʲô£˵
ȷʵҪ٣˭Щ£ЦƤ˵ٴ鷳㲻Ҫ
ץסص㣬䣺˭
Ц˭ԣǸ㡣
Լץסỹű˵㣿Ц
ֽ˲죬Ȼ˵ˣϣȥ
վߣߡ

ڻط·ϣϵӴϢ
սսڣ㣬ô˵û𣿡
簴µݰťͷ°ʲô

ģ϶ţתת۾˵ҰһæûҪͺˡ
ŶȻǿĵԴ֡
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ǰĳʵһ
෢͵̫ѨԴ﷭ļ䣬ȴôҲƴղ
üͷ
Լƿ֮еĸо
뵽ľƾ֣ﷺ⣬ͷڻʹ

۾ɻ
ô
Եԡϴһúţ·ʱͣסŲ
Ѳ輸ϵƱ
ȥչ棬治桭
һƬϰƱŵУʶߵǰƿš
ϵģһɫ´ϣŤͷϴøɾԡף·ȵ˳Ľ㡣
ԡױڣԼĺײĳ
ѹֺ󱳷ۡ
ͲôУڵһκѺ֪ԼƵĵУǽơ
ĳò죬÷£šֱķ䡣
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ϸģͼһߵлԱߡ
ۣҪѳ˺˷⼸ò˹ȥ
лٵľܾԤ֮У˲ϳϽ׷ȥ
˳ϵݣϸҪڣһ˵ݣʶסл٣˽䡣
лٶǰؿڣƫߣͷǰ˲
ϵעһֱϣͷۼؿںڷµĺۡ
ͷһ
Ⱥò׳˵ݣлٺ档Ƶ˵̺߸Ьûлƾζ֪ԼиСβ͡
˰תεʣҸʲô
ϵͣǺϣлͻʻںõִɢҵͳչƱݸƱûá
лɨһƱûнӹ˫ֲ嶵ûƱ

ϣ㲻ȥ𣿡
лҡͷȥ
ʣΪʲô
л˵ΪȤ
Ŷ䵭ʱʱؿŰ֣һͷӡ
ϼûǿ󣬰Ѿϵȫȥ°塣
Ʊۺ÷ŻضΪðɣƱǱҵģԭΪȤ
˶٣СʣҶ㡭
лٿʲôûз
Ǿʲôˡ
ЩգȾ£ʵ˵ϵ¶ˡ
лɫźÿ㣬ͷţҲãʲôҪ˵ûҾˡ
Įϸеεϰ谭һҹ֮䣬ϸоԼصԭ㡣
ڨڨҡͷûС
лٴ򿪷ţݣǡټ
ټ
лϰǰŹϡ
л˵
ǰ´Щ˵ҿڸ[][]

28
28 
ԼӲˡ
Ϲ,ۼ磬Լӽﳶ״̬,¥ȥл١
,һ,лǰա
վſںþãŰ塣
źܿ챻,ŵȴڴǸ,£,ʲôôôͻˣ
ϵĿ⣬ǹЦƽֱֱ,ʣ
һٶԸ,ϰΪ˵ˡ
簵Ϊлٴ򱧲ƽ
ʣأ
翴ĿùŹ,´ϣûϷĳɷֲʣûãû˵𣿡
ɷס

лվڿ,״ʣҪ㣿
лٰ·۵ҡͷˣ߻,չɡ
æ㽶ȥ,֣òãֲСӣɡ
лٵɾܾû£ϲлھƵϢᡣ
˵˵Ҫ㣿
лһ,ۺõ·ֲ,Ťͷ,æ

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ֲɵӣлٴԶɹΪ˿ۡ
ȥ͡
ϻ˵
Ͼ͸һ
ɫ߼״˿ϣ
лɵͷʰĲ࣬ðǸ
Ǻðɣظұƽֲ˵
лٵͷš
ߵһ˲ƿڴ߿ڷⲽÿڸɵʱιϡ
ûãΪл٣æ²ȥںЦݿš
ϣһûȥ

ԭˡ
εЦţϽ򴽣һǺ󳯵ݿ񱼡
翴ıӰ޹ĺ߶ӡ
ܴ߸ЬܵĻͦ죬һԵۡ
磺
ֵݸһϣοû£ᣬ㶼Ĳ𣿡
ֱ˵ĸоҶ
С
类߷ߵسԹϣĵ֡

ϳƵһƳ̳ʦȥ鷳㣡
պ߷ڶ³ûһξɲͣסԭʮӵ·ӲǿһСʱûꡣ
ʦżӣ˵Ůа˰ף߹ȥȿȥ찡
ţݸʦһź쳮˵˳ȥ
һһ磺˺ࣿ
ûȥˣһͦɳϵʮһˡ
˰·ߵ䤱ϽյϢĬĬֻϵʱʮ㣬̧ͷŸշյķɻ˲۾
*
лٱҪ
ԭһ˿Ļ룬ʹڻǴصҲǿԼ档
Ͼھӣ̧ͷͷ
ͷָƿлָһģǼⷢɬ
ڵѾüûлؼңڴڼòлȥˣ˵ԼҲ֪
˼Ȼ֣ϰ취ҵл٣ָĻڵ㿪΢εͷʱ˶١
ˡ
ϰֻڴϷ
Լ׷ֻлٸеƣ룬ȻѾʼôԼӦøлٵʱ䡣
ôˣҲһᡣ
ֱס۾*Լ
*
ӴæôĩпԼҳչӦԼ𣿡վڻչǰ̧̧Ѽñϡ
죬Į˵
ģɢĺ÷
ԴϻصǺҸڹ˾εԼӰأԱһӰࡣ
Ϊ˻ӦԱ̫æˣò㹻ϢЧʻͣ˰ļϣޱؿӰѸĲࣿ
Ͳ⡣뷴ȴϸ˳ȥ뿪ɡ
ǹ˾ϵĴ·չͷԽԽʢֹ˾еţھԼԼܺͳƿصĵӰӲ
벻л֪ˡ
ǰ䵭ˣ̾˿
ԱߣѾвչ棬Щ˻ȣпؿŻޱӣ㿴ö𣿡

û뵽˵ʵһӣΪܶ
ʲôڵ۾ȡϣѧϰ
۾޵ģ˲ԼǸŮ
϶ǰĻ˵
˰ɣʦࡣ
ߵұߣ˿ΧСУ˵лСɲ
ָ΢ա
û˵ֱһȥ죺װܵͺˡ
Ťͷһۡ

ס죬Ʈ
군ײ˼ʹ˰ɡ
ȫ̱󣬹ԹԵظԱעĶҲǺ뿴λչҪ»ֻǸȺһۺת뿪
ÿʱ䶼չط˼Ȧûз˵Ӱӡ
ڶ
ϴ뿪һŮĶԻĶ
ʦβ
ԣԭģӦʦˣֲǲ֪ʦÿζʦƱ
ϣðɣüûмʦ㣬е
룿Ҳû㻭
㣡
Ʊ
˸һƬƮƴϣٵһڵļţ۵׹
ɢݺˮϮϼ壬һֱɢһֿ۷˴һũĵժ¹ʵܷյ
лٽ߷һԵˮͰˮ֧ܣһƬɫҧۡ򻭲麣еĻʵ䣬صɳ
ԼӲˡ
л˵
ϣ˵۹[ŭ][ŭ]
[][]

29
29 

лڻؽǺͰᵽ˽ı,ΣյĵطȫĵطһֱûзϢؼңָܷڵķӲ֪ʲôʱ˵ơ
ϡ
лٿֻ,˵컹ͣںܾ֮ǰԴ,ҲûϢ,˶ղάƽ
Щңֻһʱͷ,ʸйȥ,ܷܿԼͨ
лڸջؼҵļڳ޳޵ʧ,ԭʱ˯ţӲϵܱһСᡣ
ϼͻȻ,ûп,ֻлٵֻɢһĹ⡣ŮʿɳһŰɫ˯ȹŮ,İ䣬һ
лγڣ裬ҡֵͲ,Լ
ˡ
ŮʿĿתضлٵĿýֱ
ع,Ҫ˵,лȴק˽˳ֹš
лټϵİͽԵ֤飬ıңɨһۡ
ŮʿѶֻްûûлƷ
лټһԼ,ǰݺݵһѡ
ʹ
ʹǶԵ,лٿع˵óЬ,ڵŮʿǰ
ŮʿѹۺЦҹڼҲƣôȹڼε
лٿ˯ȹë⻹ʱġȣ̫ûס䵹񣬲ҵôһ
ŮʿЬ֤лԴһ
лֵٰûεҲû˵
Ҳû˵ڼңŮʿҡҡ֤飬ٰطҽ˳ؼҿ
ͷУƽˡ
Ůʿһ
뿪ػƵĵƹѵƴ򿪣ƼлٲҰ׵ɫͺصĺȦһ
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࣬лƹɳϡ
ûпֻôֱͦͦض컨巢
Ůʿ°ʣˣ
Ϊķʽһģһ
лٷ˸
Ůʿ·ɳȥе̨Լһˮɤ
лûҲżʣֻǰ֤鷭˸գŻͲԵ绰ͷ˷
ԣллָҪû㣬ҹ²ͷ
лƤ·˵
ụ̂Լ
淳
лɳøԼϡ
ϣȲ˵ˣŮڼңԼҪȥû
Ůʿֻߵɳǰë̺лϣϵı˯̾˿

лһ˯ָ۾ϣ˺һ
лΪص峿ͷĵƺϸë̺ʵ
Ůʿˣ⿪Χȹ˵ϴһԷ
лٸλһڼƮϴϺλϣŮʿҨһ࣬һΡ
Ůʿ˵ô
УлٵͷС
ŮʿӦ˵ǳóԡ
лЩ޳ɡ
Ϊζġ
Ϊ˰Ůʿ˿ڷ磺ĺܺóԡ
УŮʿóֻϵʳһ㶼Ͽҡ
߶ҵͺܾˣһ¡
лٳӵһ٣ʣڸ죿
ŮʿƳ԰
лɻ󣺡ΪʲôҷϢûأ
Ůʿߴֱ߽ͣæ
ڹ⣬еʱ
ֻҲ̫ˣÿʱ䶼ԼԸС
лٺͷʣʲôʱߡ
Ůʿֻˡ

ܿлپʶû˵Ц
Ůʿ֮ǰְҵϰߣһexcel񣬲ҵƵÿضʱӦе
лٸоԼʧûôˡ
Ц裬Ҳ̫ˣֻǼЪԵʧߡ
Ůʿҡͷ¶ۣ߶㿴ⶼݳƤˡ
лٳĬܾãӦ
ޱȽϸŮʿһ̫塣ӹĳʵÿ˯ԽԽãЩ˼ҲĴߡ
Ůʿ⣬߾ϸ⣬ǵ⡣
лٰǰЩʱ仭Ļᵽ鷿ŮʿеŮˣһѽ졣
ֻһӰлЦЦһĺþֱ˵
Ůʿֱףⲻʵ𣬻Ҫҿ䣿
лٽصһۣ׵ܻ˼ӱܵߵͥԺϸϸĸˮ
ѩ÷ýޣлɫͣóֻƬǰºõ罻
ȥûãܶ˿ſŵıкΪĻعж
лٴǴЦǳǳ˷ֻضѼĻóͥԺ
صϣƽճðֽӶʰǰĻ涨ֽϡ
Щļ±ѳѿ
лϣⳡڳһ㣬ݰܵĻ֦³۸Ҳ֦ͷ
ؿ˿ԼǰĻƬ󷢵
һԴ۵ϢʾлʰߵĶһ٣̧ͷɡ֪ʲôʱվԺ⿴
л˵
Ůʿ鲻[ͷ][ͷ]
һ޹ؿɲ˵λ뵽ʲô˵ʲô
ʵ˵״̬ãдĽ뵡ڣеʱڵǰ˺ܾдصϢһȴûֻ޴ûдϸһ[С]
ⱾжڿлǶһ֪Ʒʴ۵СߵİݣҪҶֻ׷ģصĹ̫л顣
ʵǸˣһҪôһֱͣŲҪһꡣȻ޶˱ĳʮֳдһֱеܣȻܲǶⱾ˷ǳϲⱾ飩еʱڴϷ˭ܷһӴԵĻҰ˼һУ
Ȿvʱ̫࣬Ἰ죬ڲ֤Ƶʵ£˼ǻʱvˡÿµĶСһʱҾþ͸ͣǧֺдȡɽϡдbushiٿٿѹ룬׳߲໹ûдԭƪͲоɲס·ǰдˣϣھ·ǰ[С]
ȻûôߣȻû壬˵ԺһsԴ󱬷ŭ뼸˱ϺܻѡvvǱȽϼø˿
ٴθл[ͷ]

30
30 
Һ
лٽһ,ͰͷֵȥǰĻʡ
ʵԽԽл磬Щʵ˰벽
ɡ,ߵæᲿֻ,ȴ˸ա
,
л̧,ȴ,ǰһ˿ͷɢ,ֿԼĻϣлΪ˱⻭ֽ,ɿ֡
䵽˳
л۾ӹ,öɫٱɿĴֱ,ָѲת
лüͷ΢ƿĿ⡣
ôˣлʡ
վԶŷӦԼԳ罻ý˺šһ,û뵽
лͻȻ뵽˺ﻹ¼ԪҲɾ
ǵúúһ¡
лöƻ
Ż棬лٽ˼,ſڳǰ
,лٷźûߣߵǰùӣ˵
һжŻط󣬲ŰĿͶɳˡл̾һΣʲô𣿡
,۽Ƿ죺ûֻϢ
˶˵Һ㡣
*
ĻٵĶӰ,ڵ֪лѾɻؽǺ,ƵᣬҲŻص˽ǡ
ϢлûأѾʼϰߣл¥£ҸελͣǶǡܿĴڡ˺ܾãʱůȴûԤ֮
ֵһᣬȷû˺뿪
ڻؼҵ;пӳлٺþǰ뿴ĵӰĬãתͷѳ̳
ӰǼǰӳĶӳӰûʲôˡ
лһȥˬͬˡٽأأɵڼӰлٿӰѡǰߡ
ҲǵһˣлһֱԼ
ǰĴĻǼɬﱧһͰ׻һǹ˻÷࣬᲻ܿƵص䣬һԵСһϲƬôܿ
óֽ˲۾ŤͷСߣѱ׻ݸСֻһš
СͬͱζҲʣҪǮ𣿡
֣ѱ׻ݸǣ߳Ӱ
˰볡Ӱʱ磬ؼҵ±ɢسıĿĵء
ѳûĹԢѿŵĪڴĵסŰָ֣΢΢
šţ·ܿƵĴɳװԹ²ۣôŻþˡ
ͬһȥһĻĻǰ֡ȳлٴһ㱡ʱŻȻѡ
ڿһˣ۵׸ֿҪįѷڵĵȫܡ
ճʱΪĸ֤Լ԰빫˾ĵطҵӣлѧ󾭳ĩ
輸˷лĿĹɳһԵĿİѹÿ
ڱ¶ڿеĹʵøɰͣڿ칫ʱлԼߣһſĹһ߲Ե
һŹӶԼ˵㿴ǿĹ
ʱûẓ̇۾һֱĻĲɵʣΪʲô
Уܣ㶼ҡЩлٻǺĵĽͣ㿴ĸͷǱĵļⲻǴ˭Ǵ죬ԭ͵ߵĿĹԼпϧԼЩܳԡ
ȷʵܳԣǵõʱԼش
¹ӣһֱЩ죬ӣͻȻԵʱл˵㿴һҲûʲô
ҲһֱĻҲԽӹػش𣺡ӦǿĹСûдôǿ
ѧԭ˵˼άǺԾ
ںлٵĻش
˺ܶСֹĹϰڷ˸ɰǵԼһݲʱл߼Żñֽɨ
ߵ󣬿ЦԴһΪửңôһд
лԴЦֲǲ֪Ҳôˡ
ʣҲ𣿡
лֿٰ
ǻлٵڿǽϣֽϵĻңһ˲˲ضɰ硣
ʵҲУֻҪ߾ͺá
˼߽ңһһȻСܴÿлٱͦĺԼһŴװ˯ʱ˸ôԶȴܸолٵĽš
ͷ߷лٵĿͨȦⷢȦͷл²ͷ̫ˣܺÿ֪ͷˣǰͷϵķȦȡߵ˸
㿴ÿлۣôᣬƫƫԼɹŰӡ
ʰȦͷѾֲ嵽˭ġѧлٵַͷֵš
Щش¹·лû˵·ţ˳ְѹˮĳʪóӽͰ
һԵСӣտҲϵЦ𽥱ѿʶлֻ˻ߣʣģشҲ
ֱĺ㣬ӣڷź˳ҩлĵñǩдϿں͹ʱ䡣
ݺݵץһֱۣƤѾѪ˿ֱѪ˿ӡ
л뿪İ󣬵һԼĲ顣
ҩЧûץץֱۡ
ٵѰ㣬ʱ˿ڽʱ¶ʱҲ
ȼڸ棬˻´ͣ᳹һֹĥ
оԼڱ٣¶İ׹ײڣΪɥӡʹҲһĩңЦ
ֻ𶯣ϣش򿪣ĸ׵ʧعػ
Һ㣬ૡ
лô˵ûκβֻǸΪ裬ƵǰӦˣȿڲ衣
ӣ¶ֱϵ˰̣лɨһۣû˵ʲô
лϵ·ɰ˵·Ǻܾǰİɣ
ԣлûϣеġ
ʣ·ҼҪȥ𣿡
лٰѱӷŵ輸ϣĳ죺ã鷳㶪ˡ
ҲҪ
ûʳڡ
ص˵ܻصȥ𣿡
ȥлٺЦڵ״̬ѵǹȥ𣿡
򴽣ûˣٸһλβȡ̫ʱ䡣
û˵꣬лٴС
ͫˮӱʪָ⣬ʣ𣿡
΢Σлٶûиش
ڴлٸһرܣڴлٸһſһΣһдִ𰸡
ضû뵽лʮָ棬۾϶ػش
ǡ
л˵
ޡ¼λ[][]
קųͣͣͣͣס㻰е໣ǫ̂[ŭ][ŭ]
л٣[][]

31
31 
򻭲һǡ
ŵ,촽ǿЦʣ٣ûڿЦɣ
ץлٵ,
лٵͷ¶ֱ,,ְɡ
ʱסлٵ,߻᲻ؿ,ûסҶ,ͣصֱ
лҡͷץطˡ
Ȼץ,Ҳǿԭ㡣

й,ɿ,ȥ
ġ
ҲšҵĨ˰
ɢķ˿Ǳϣлٵضﲻһƽ,໹ǻᴫһʹοԼ
õġ
ŮʿڷһŷŶ,Щ,ƿżʱ֣кˣ쵽ҪԸ
վҡͷܾ˰̣е,ˡ˵ؿлһ,ʧǵĳȥ
ŮʿĿ뿪,лߣʣоô
лٰûĲˮͰҡͷҲ֪
Ůʿȥġ
л򴽣Ӧġ
ڵĳ֣Ϊ˷ʱ䣬ҲûмֵĶϡ
ĳлٵûоʹ죬ֻеȻ
ָоԵĶһֱóֹһ
һʼͲԼ
˵Ϊǰźý֣ڲͬʱͶġ˭˭㵹ƽڳܲס໥롣
ŮʿлЩήҵӣְ᣺һͰһµıĲˡ
ûУ裬лεһۣ̣ɡ
ŮʿҪˡ
Ůʿִ壺Ϊҵˣ
лҡͷȻǣգЦһйˣ
ŶȷʵðɣǹҪŮʿͬ
Ϊǡɢ塱лµĺ档Ȼˣʱ֮ǰĶࡣŮʿ˵ࣺҴա
Ǽ̳ҴĻ򰡡
л˵裬Ҷˡ
úúã͡

ڶһ磬лٴŮʿĳص³ǰ뵽ʲôƵģͻȻڣ裬ʱĻԼһɣôϲһҪһԸ𣿡
Ůʿ̧̧ϵīˬӦûⰡʱǵð
л٣ֱҶ򿪳ţƵ뿪
صþûסСѴʹֻϵʦѼǰѡõɳ
ò׻ɳɨѵϵһɨǽʱһӲ顣

лɻǱϤĻ᲼ҳڽ䡣
ô⣿
л𻭱˷Ȼ񣬵ÿһ涼
ʧԼǰܾãлΪԼѾӵ
񣬵ʱĿлٴϻᣬӽһԵ
һʰãѼһӵſڣԱߵһҲûСգԼҸô󶯾˵ԸôҪſɣ
ڼ
лٹţŻȻһµķ䣬鶼ࡣ
˸裬ϵƣϴȥɳϡ
ģл棬Ϯ˸Ƿ
ûϵǸ
˼Уڲ˯ȥ

һʢлٳֱ˯÷¡
Ϊû˯ãʱ˴ɳϵ
æ·¥±ȥһĳ˼ʳġ߻Сչߵ㣬лٲɿŲСĳεĳ
ֻʱ䡣
Ӧÿ쵽ˡ
ĬĬűȵߵһʱ̧ͷԶ·ȥ
˴˿ʳҡǣ
лٵͷһ½ǣָһԵĹҵķȥ
һ
٣
ûתͷԽԽѩӹȱߣлͣ½Ų๷ͷӰ𽥰ס̵̧ͷϺá
ϣϺá
ʣŻ
лٵͷǣһϼϢŻص
Ŷͷһδ˱Щ裬л򴽣С°͡
㡭
㡭
ͬʱڣлһ١
ϣ˵
лָָӣʳˣҪҼҳԷ𣿡
΢ţлټ첻ػЩգֱӣѹԸˡ
ϻعûӹǶĴӡǿҪֵȥȥȥҪȥ
л٣ôƫͷʣղ˵ʲô
ϾŴӻ˻ΣԸԸҡ
ţ
лٵֱۣЦ˵ջء˵˸ӵĶ
͸ﴫֱϣл߬ǣǺˡ
ɣҡͷϣָָָָԼϬ
עʱǡ÷͵͵ҡ
һ·õغŸ裬лٰߣҲú
ߵǰлָƿػЬӣŤͷ׼ЬϵЬ
һ£лٰס֡
ϣôˣ
лҧӹóЬ㴩İɡ
ӹ߻߲ʣ֮ǰ˫аΪʲôֻһ˫
лɤƫͷ֮ǰ˫ǺþǰõģʽȽϣʺ㡣
͵̧ͷպ͸˿ͨĶ⡣
죡
סһԵĹӲǿվȡ
һ¶ʲô
ûͨлӣҴȥȥɳһɡ
ŷɳѾ˸
űǰ಻ٵĿԭվ˻ᣬܣײ˴
ǽǵĿտҲ򴽡
˰ɣ
ЩգлٵĻߵɳǰ¡ɳҪоԼҪݽȥ
͸ݽһ
лٵı仯ܴԭΪǰû뵽һºǸһϲ
Ь׼ˣɳҲ»ˣ˯һһԶ
㲻˯һɳҲԵ˯ȿͬҲС
ţͳ򣬰ѿеߣ䷳ĸ棬˵Ⱦڼܵĸ졣
лٰʣŽ䣬һһˣϲԾ¶Ц⡣
ϺܸӵİлĲ˳˸ɾһʼ룬л*ȴԡԱʳɲܾ
лټѾɿվԱ߿һʣʲôϲԵĲ𣿡
⻰û롣
˼Ц˵ʳҶϲԡ
ŶлЩƣûڳϲãĲҲ֪꣬ϲǿ
ϼüطŽϴ󣬸𰸣ϲţ⡣
Улüͷչ
ʣԺҪҳ𣿡
л˵㲻Ļ
ϣ

ϴϰڽɫлҲûޣֻһԵĳ
ͺáлֹ
ϾػЬǣŹ߳ţû£Աȥʳ
㿴Զ˶Ӷˣ˵ţ˳Ѽſڵļ
ðɣлټЭ
ݿڣ
ߵС¥ͰǰԱ㣬ײ
˺ǰͰ
һڣҺûϣ׼ÿͷѵȴһǴӴＷ
л˵
ϣ[Ц][Ц]
л٣ôҪ²ɳǸ˭˯[][]

32
32 
˵
Ǳ׽ߵĻᡣ
Ȿմҳ,ﱻ۽ʪѾӡ
°ͣС˸,˦˦,Կ˵ؼҸӲͣ

,ڹʱյлٵѯʣǡ˽Щ,𣿡,˼ĵлټ,˸аһֻ
ڼһлûϢʱûȥ˺þòյлٵʺ򣺡첻𣿡
أû,Ҳ˼˸ίС顣
л٣Ҫ˼,Ժֱͺˡ
ϣá
л٣Է𣿡
ϳʵû
һǽ,ָѴѹѹлΪʲôûأȴͻȻ
ԽԽ,ߵǰš
л̧ۣʣȥ𣿡
Ͳ˶ȵġ
ԣ
ϸлٺ,׼ʱƫߡ
һҼ,Ժֱˡлٵ˵
ϣ
ѹ찴ָƿ
˵ⲻðɣ
лɻؿǾ̫鷳¼ָҲС
鷳
лһסҡ˰Ѷ֮ǽͨ
ܼܼ
ȰԼ
ڨЦ鷳ҼС
лٵͷã水,ֱָһ顣
ϰԼ뵱
л٣Ҽסˡ
Ͽ⸱,,˵ⶼ˼顣
*
лһ߷ǰĻֽһ칫ʦ졣
Ȼ˼ѷԶ
İ²֪Ϊʲô·ݸæʦӦлֻð뿪ѹһѹͷȥְ
ǰӱ׾ĻܼȡԽԽ٣鳣ѹ͸õøлĶࡣ
뵽ˣлۣıڻֽ϶ɨÿЩ
԰СлʦӦöЦ

лԼãȻ̧ͷ
һԵʦ磬״̬°ѻ˵һ飺˵ûҪΪ־ɥ˺顣
лٴš
ϰ֪־ԭµĿε˰¡
õҲԼ̣лֵڡ
ʦ˵⺢ͦԣЩлֻЦЦ˵
żʱ־˻ЦΪ˱಻Ҫ鷳лѡЪԺӣ뿪˦ں档
ѧڣžϵ˼尾
ò׵ȵ°࣬лٳһ칫ҡ
ս칫ҵʦ˷۾ıӰʣǸСлʦ𣿡
칫Ӧǡ
ʦˮɻ󣺡ƽһ뿪𣿡
ʦ²⣺̸ˣҿˢֻĴ֮ǰ.

ѻصңذóⶳ˳ڱһƿǰԡͯꡱΪ͵ֶࡣ
Ͽڸлһ꣬ʱ俪ʼˡ
ش죬лٰѲ˳˳˵ϣЦ˵ãꡣ
ߵǰ촽⶯ְǲղ
˽һ㶣лȻعֽݸɡ
õʱлʢ뷹ŵϡ
Ͽ򶨵ӣей
ϵлٺŶ
׷Ĳɵ롣
ǲ˲θ𣿡лû꣬ʡ
ûûУϼһĺܺóԡ
˶˵¡
л
ϺȿˮЩǸ˵ĩҪܲˡ
ԭĩȥ߶򳡴лô˵ҡͷû£Ҫ
ûд۵һʧ䣬ӣʶڣ㡭Ըһȥ
˵һ룬أֹס
뵽֮ǰĲþ⼸ӺõҪΡȻ˶ղû£֪ߴһ壬ƽ޷ˮ˲磬еĺԽԽԶ쫷ɢȥ߿УӭĲˮ壬Ǹڵ̲Ϳ
򴽣ĬĬذ˼ڷ
˵һȻֹлٲ׷ʣʲô
ҡͷûʲô
лٿֹӣ²⣺ǿ𣿡
˵ܰҿ԰㡣
ô˵ţûȣžߴһµϡ
뵽֮ǰлپ鷳һ£ֽʣŵ𣿡
л룬˵Ӧòᡣ
ú䴽˳Ǿ鷳ˡ
л٣鷳
ɢϾԼĿĵֽЩ

극ʰɳϳкõıϣˮƿĻ䡣
ۣԵҲûзƵĿήۼлٰչ˵ĺܺá
ڰǰ͸Ķͷܰ
ع꣬ʹɿήԱ߼ŵĻУѾ⸱Զֽϡ
лٲԱߣʣȤ๤о𣿡
лʵʵ˵ôС
ٹȥҾʹְˡ
Щ졣
лٰѲӷŻعһбȤҪҪ
ָָ壺ÿĹ̶ϰ֮࣬ȥĺǵĻûо
ƶǶصͷޣҾᡣ
лЩ˼ЦЦ
˰ϳ꣬Ͽɳ뿪
лЦļ⣬صľӣоһƶˡ
*
ϳ֮ǰѿлټѵ⼸ڰ̼ҪһŶ
лٱվһԣʣΪʲôǰ̣
ɷнµ˵ǿ裬Ҫǽǻˡ
֮ǰǽ𣿡лٽЦ
Ϻһ㶼˵֮ǰһ𣿡
Ŷ~лζػش
϶̫æ˿Բø⼸ʳö˺öࡣ
С
ǽű߽š

͵ݿڣлͻȻʣʲôʱ
Ͽࣺߵ㡣˵Ҫң
лüſҪպϵʱ˵š
ŵŹرգǣſؼңȴ±򿪡
ϳ͵ӵһ£Ȼֻص棬֣ټ
лٵȵȥŻعûߣһѿĹͷ

леļ򵥣֪ǲϽ̵ĺõԵʣڼܹԣʱҲֻĽűע
ʱȥ棬صǣлߣڴض
лġ
ϻʱʱѯʿΪ˸ϵ
ʱܿεգлصػһ·úóԿףӿ°˵ڼҹԹԵŶٴȥ䡣
˲ȡ
ʱҪ磬ֻ𶯣ڷɻҲܸ绰лһĻ
ǳ
Դֿ󣬳ҲûлΪѾġ
ֻһԣûй񲻴ĿĲһظ绰
죬վڳ
лٰ³˵Ůһؼ𣿡
ϷҡͷܾУѺܹ󡣡
˵㡣
л٣
Īأʻϣϻ˸λ
ϴ򿪳֣ҵķȥڼһ٣лǣô죿
üһٲӦöɣ
л͵Ц
˺ܶʱȤ£лĵš̵ϲţлٿﻹ𶯵ֻ׼ҶڳͻȻҡΣһٵسǳ˹ʹ̣ײ𣬰ȫҵɿֻ֣ڽűߣ޵ֿԡ
ֻ
ι٣˵ι
л˵
˼ֳٵˣЩæ٣[]

33
33 
ôӽٵ
лٻ,Ĵͷ΢΢⣬Ǽˮζǰϵˮĵƿ,ãȻİת򴲱ߵǸˡ
ſ,ʹ˯Ҳûָ,лüСƫͷ˽,ʵ
һ,˱ǳߵˡ
͵̧ͷ,лٶĿ⡣Ѿظ˿̫,ˡ
˰ͷĺ,ȴȻûɿ
лʸɬɤ,ʣأ
û˵
лٻ˸⣺ôˣ
ҽ֪
л٣ɿ𣿡
ؿԭ,Ƽһƣӣ»ǳԼ֡
лƳԼֱϵĺӡһ,һ,ƾҪεǶƤ롣
ץס֣ŭ
лƽؿҪȥ
Ȼ㲻ңұԼȥѰ
ж÷,,ҽȷ㳹û,ٴȥ
ãлٴӦصϡ
һԵˮܵݵߡ
лƫƫԼźȣȴ㿪
ҵͷ۵׵ĺѪ˿̾һԵ˼ˮлл㡣
˶лʣô
ͣʱ绰ò״ͨȴһ죬ûõ绰ҶϣյҽԺĵ绰
лˣӦò֪°ɣ
š
鷳Ҫллл˵
ˮŻԶô˵ȻһЦɣҲ֪𣿡
ڴл˵㲻һģΪʲôһֱ绰߷˵Ķء
л䵭ڣţ˼鷳ˡ
ȼĻ类ˮ̵Ϩлٵļģʣ鷳ң٣Ҳ鷳Ҫ˵ٱܹףڿӽ㡣
лüĻضҲ˵һ飬ҽѲҪۡ
¶ʧɫ뷴űƿҽߵлٲǰ˵Ļʻȥ
оôҽʡ
л٣á
ûиоﲻ
лҡͷ
ҽף鱨浥ʾûʲô⣬Ϣ
ллҽ
ͻȻûʲô𣿡
ҽ˵ʲôĵģһȫ顣
Ҫ˵ʲôл¡
ҽȥıӰ߬ȭŤͷлٵ˵ߣȥȫ顣
лְٰǵҡͷá
ҲҪҲҪ㵽
лٵڣӦȥϵġ
Զûôƽ
ʵЩ롣
ڳǰϴܸײԼû£ô᲻ᡭ
лٺһ飺ģ
˳ĬлٵȲЬԼȥʱڣҴȥ

ϵĲлλͬһ㣬ʱϻڻ˯С
лٿĿҪͱΪһ壬ۿᣬסʣŤͷʳôˣ
Զû뵽ٴμлΪŮˣԸŤͷߵָȴɶԭء
˺þãл𽥽ɫпڻش𣺡һܵײԡҽ˵ܻоͷ£һ㻹н󡣡
лɫ԰ס
˵ĿǰǴ𵴣巽ûʲô̫⣬Ҫһжϡ
ײǵ˾ǾƼݣڳӿ췢ײ˲ѹɲϴתʹڳβԳײñȽϲأԱû̫ˡ
лڲǰϵر˵лл㡣
ȻΪŮ˶лԼ
е֧Ųסлٰ֣Щĵӳ
ﴫϵлٰϵͷỬգ˯˷˿䡣
*
ڵ磬˵岢޴󰭣Ȼ𵴵֢״ûг˵ôء
лٰĴҡˮ
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ԳĹִԴǸʧȥ׵ź
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Ȼϲˣܿһ𣿡
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лʱòҰף˱۾١
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ٳٳٵλõˡ˵ԭһݣһȻż˼Ρ[С]ΪβЩģֻܱ֤ٸո治˼[]

36
36 
԰ɡ
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лٱ룺군
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л룬ϵһײͳìʱ˵Ըһȥ˶ʱÿɺĵ׷Ŀʱ
ںܶܶʱ
лûӦǰ,Ѹײٶȴ,
ɳ,ֶסֶ뿪
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˲䣬ͻȻϽס


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лٵͷֻλãߡ

Ӱѡ4Dлٸûþͱ⧲ֲǺ
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лԹǹǡô̵ġ
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37
37 

ͣס,תãƫͷӡ
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׵ᣬ,૵Բ,̫ˡ
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µĵӰʼ,ֻǡлס֣ʮָۡ
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л۾һƺܾãûȥ
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лЦЦǣַգʵк󣬲˳ӡ
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һһڼҵĻꡣΪûǰԤԼϵ̫ãڵѲһȦѡһǿϵĺ󣬼æ߳
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лٵͷתʣ𣿡
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ΪҾúܺóԣȥȥĺۼ
лٿŷƤЩš
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лٱŵתͷĿĵʻȥ

ϸСǰƵĵƹ⣬棺ôҵģ
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Σðɺðɣһ˶᲻ռ
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лٱЦЩһǺŵġ
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ɴ²˾һš
лټ˵ģһʲô
صͷ
лٿϺ̫ˣڻЩʵĸо

ϱߣҶûȥҾúóԵĵطϴڻǣԭȥзС
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л˵
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38
38 
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ߺߣᵹʱ[Ц][Ц]

41
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8.4ûϳĻƵ8.523һ

42
42 
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43
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2025.8.9


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