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ACM棰樼洰鐨勯鏍煎拰榪戝嚑騫撮鐩殑鍙戝睍http://www.shnenglu.com/zzfmars/archive/2010/08/21/124217.htmlKevin_ZhangKevin_ZhangSat, 21 Aug 2010 13:47:00 GMThttp://www.shnenglu.com/zzfmars/archive/2010/08/21/124217.htmlhttp://www.shnenglu.com/zzfmars/comments/124217.htmlhttp://www.shnenglu.com/zzfmars/archive/2010/08/21/124217.html#Feedback0http://www.shnenglu.com/zzfmars/comments/commentRss/124217.htmlhttp://www.shnenglu.com/zzfmars/services/trackbacks/124217.htmlACM /ICPC鐨勬瘮璧涘艦寮忎竴鑸槸浜斾釜灝忔椂鍏釜棰樼洰錛岀患鍚堣冨療閫夋墜鐨勬暟瀛﹁兘鍔涖佺畻娉曡兘鍔涖乧oding鑳藉姏鍜宒ebug鑳藉姏錛岃繕鏈夊洟闃熼厤鍚堣兘鍔涖傛暟瀛︽柟闈富瑕佸己璋冪粍鍚堟暟瀛︺佸浘璁哄拰鏁拌榪欎笁涓柟闈㈢殑鑳藉姏錛涜岀畻娉曠殑瑕嗙洊鑼冨洿寰堝箍錛屾秹鍙婁簡澶ч儴鍒嗙粡鍏哥殑綆楁硶錛屽拰灝戦噺杈冨墠娌跨殑綆楁硶銆傜敱浜庢瘡閬撻鐩兘闇瑕侀氳繃鎵鏈夌殑嫻嬭瘯鏁版嵁鎵嶈兘寰楀垎錛屽茍涓旈渶瑕佺簿紜В錛岃繖闄愬埗浜咥pproximation algorithm鍦ㄤ竴浜汵P-hard鐨勯鐩腑鐨勮繍鐢紝浠庤屼嬌寰楁悳绱㈠拰鍓灊絳栫暐瀵逛簬NP-hard鐨勯鐩潪甯擱噸瑕併?br>Final鐨勯鐩拰Regional棰樼洰鐨勬瘮杈?br>ACM ICPC瀹樻柟鐨勬寮忔瘮璧涘彲鍒嗕負World Final鍜孯egional Contest涓ょ銆侳inal鐨勯鐩洿鍔犳緇熷拰涓ヨ皚錛屽己璋冪畻娉曠殑緇煎悎榪愮敤錛屼竴涓鐩線寰闇瑕佸嚑縐嶇畻娉曠殑緇撳悎銆備粠榪欏嚑騫寸殑final鐨勯鐩湅錛宖inal鍔犲ぇ浜嗛鐩殑浠g爜閲忥紝瀵逛唬鐮佽兘鍔涚殑瑕佹眰鏈夋墍澧炲己銆傝孯egional鐨勯鐩垯鏇村姞鐏墊椿錛屽悓鏃舵瘡涓禌鍖轟篃鏈夎嚜宸辯殑鍑洪椋庢牸銆傛媧茶禌鍖虹殑棰樼洰浠ラ珮璐ㄩ噺鍑哄悕錛屽綆楁硶鍜屾暟瀛︾殑寮鴻皟鐢氳嚦瓚呰繃浜哤orld Final錛涚編鍥界殑璧涘尯杈冨妯℃嫙棰橈紝寮鴻皟浠g爜閲忋傝屼簹媧插垯浠嬩簬涓よ呬箣闂達紝鍚屾椂鐢變簬姣忓勾閮芥湁涓浜涙柊鐨勮禌鍖猴紝鎵浠ュ茍娌℃湁寰堝浐瀹氱殑妯″紡銆?br>涓嬮潰嫻呰皥涓涓嬭繎鍑犲勾ACM ICPC鐨勯鐩殑瑕嗙洊闈€備竴浜涘父瑙勭殑綆楁硶鍜岄鍨嬫病浠涔堝ソ璁茬殑錛屼笅闈富瑕佷晶閲嶄竴浜涙柊棰栫殑鐭ヨ瘑鐐規(guī)垨棰樺瀷錛屾垨鏄竴浜涜緝鍓嶆部鐨勫唴瀹廣?br>鏁板鐨勬柊棰樺瀷
闄や簡涓浜涘熀鏈殑緇勫悎鏁板鍜岀粍鍚堟暟璁虹殑闂錛岃繎騫存潵姒傜巼鍜孋ombinatorial Game Theory鐨勯鐩愭笎澧炲銆傚緢澶氭湁瓚g殑棰樼洰閮芥槸浠arkov Process涓鴻儗鏅紝闇瑕佺敤鍒頒竴浜涚浉鍏崇殑鐭ヨ瘑銆?br>鍘誨勾鍥藉唴鏉窞璧涘尯鐨勪竴涓緢鏈夎叮鐨勯鐩槸錛岀粰鍑轟竴涓瓧絎﹂泦錛堟瘮濡?/span>{A,B,C}錛夊拰涓涓瓧絎︿覆T錛堟瘮濡侫CBBCAC錛夛紝鐜板湪浠庝竴涓┖涓睸寮濮嬶紝姣忔絳夋鐜囩殑娣誨姞A,B,C涓殑涓涓瓧絎︼紝鐩村埌T鏄疭鐨勪竴涓瓙涓層傞棶寰楀埌鐨勫瓧絎︿覆S鐨勯暱搴︾殑鏈熸湜銆傝繖鏄竴涓吀鍨嬬殑Markov Process錛屽叾瑙e彲浠ョ敤鐢熸垚鍑芥暟寰堜紭緹庣殑綆楀嚭鏉ャ備竴涓洿鏈夎叮鐨勭増鏈槸錛屽亣濡傝繕鏈夊彟涓涓瓧涓睷錛屽綋S涓嚭鐜癟鎴栬匯灝辯粓姝紝闂粓姝㈠湪T鍜孯鐨勬鐜囧悇鏄灝戙傝繖涓棶棰樺湪Graham, Knuth, 鍜孭atashnik鍚堣憲鐨凜oncrete Mathematics閲岄潰鏈夎緇嗙殑鍒嗘瀽錛屽茍鏈夌潃涓涓紭緹庣殑緇撹銆?br>Game theory鏂歸潰錛屼富瑕佹槸緇忓吀鐨刢ombinatorial game theory鑰屾瘮杈冨皯Zero-sum game鍜孨ash equilibrium鐨勫唴瀹廣備互鍓嶇敋灝戦夋墜鐭ラ亾鐨凷prague-Grundy Value鐜板湪宸插嚑涔庢垚浜嗗繀澶囩殑鐭ヨ瘑銆傝櫧鐒跺ぇ閮ㄥ垎棰樼洰閮芥槸two-person perfect information impartial game錛屽熀鏈兘鍙互鐢⊿prague-Grundy Theorem瑙e喅錛屼絾涔熷嚭鐜拌繃misere play鐨勬儏鍐點傝繕鏈変竴浜涢鐩垯鏄氳繃鎵捐寰嬪拰褰掔撼瑙e喅銆?br>Graph theory鏂歸潰錛屼笂嫻瘋禌鍖哄湪澶氬勾鍓嶅氨鍑轟簡涓閬揅hordal graph recognition鐨勯鐩紝浣垮緱璁稿閫夋墜鎶曞叆寮﹀浘鍜屽尯闂村浘鐨勫涔狅紝騫朵簡瑙e埌瀹岀編鍥劇悊璁猴紱IPSC鏈変竴騫村嚭浜哻onsecutive ones problem錛屼粠鑰屽紩璧蜂簡閫夋墜浠PQ鏍戝拰騫抽潰鍥懼垽瀹氱殑鍏蟲敞銆?br>闄ゆ涔嬪錛岃繕鏈変竴浜涢浂鏁g殑non-trivial鐨勯鐩紝鐢氳嚦鏄竴浜涢潪甯竔nvolved鐨勯鐩傚鍒樻睗浣崇粰杈懼崱璧涘尯鍑虹殑涓閬搖nbreakable tiling鐨勯鐩傚叾涓垜闈炲父鍠滄鐨勪竴涓鐩槸鍥涘勾鍓嶄笢鍖楁璧涘尯鐨勪竴涓猣loodlight problem錛氬鉤闈笂緇欏嚭n涓偣浠h〃n鐩忕伅錛屾瘡涓伅鍙互鐓т寒鍦嗗績瑙掍負2*/n鐨勪竴涓墖褰㈠尯鍩熴傞棶鎬庢牱鎺у埗榪欎簺鐏殑瑙掑害錛屼嬌寰楀彲浠ョ収浜暣涓鉤闈€?br>榪樻湁涓浜涙暟瀛﹂鍒欒冮獙鍒涢犺兘鍔涖傛瘮濡傛湁涓棰橈細緇欏嚭n錛岃姹傛壘鍑轟竴涓猲*n鐨勬柟闃碉紝鍏朵腑姣忎釜鍏冪礌閮芥槸1鍒皀涔嬮棿鐨勬暣鏁幫紝騫朵笖涓や袱涓嶇瓑錛屽悓鏃朵嬌寰楁瘡琛屻佹瘡鍒楄繕鏈変袱涓瑙掔嚎鐨勫拰涓や袱涓嶇瓑銆傝繖棰樼殑鏋勯犻涓虹箒鐞愶紝鏈綆鍗曠殑鏂規(guī)硶鏄洿鎺ラ殢鏈虹敓鎴愬啀鍒ゅ畾鏄惁鍏鋒湁榪欎釜鎬ц川銆?br>榪戝勾鏉ュ嚑涔庢瘡騫寸殑final閮芥湁涓閬撹冨療閫夋墜寰Н鍒嗚兘鍔涚殑棰樼洰銆傝屽井鍒嗘柟紼嬬被棰樼洰杈冨皯銆?br>澶у瀷綰挎ф柟紼嬬粍銆佸鏉傜殑鐭╅樀浠f暟銆佸拰鐗瑰緛鍊兼眰瑙f柟闈㈢殑棰樼洰杈冨皯銆?br>綆楁硶鐨勬柊棰樺瀷
綆楁硶鏂歸潰鐨勫寮轟富瑕佷綋鐜板湪鏂扮殑鏁版嵁緇撴瀯涓嶆柇琚夋墜鎵鐔熸?zhèn)夊Q屽拰涓浜涙柊棰嗗煙鐨勯鐩嚭鐜板湪ACM ICPC涓?br>鏁版嵁緇撴瀯鏂歸潰錛屼竴浜涚壒孌婃ц川鐨勫鉤琛℃爲閫愭笎琚ぇ瀹舵帉鎻★紝濡俿play tree錛宭eftist tree絳夌瓑銆侷nterval tree鍒欒騫挎硾鐢ㄤ簬璁℃暟銆傚瓧絎︿覆鏂歸潰錛岃緝瀹規(guī)槗瀹炵幇鐨勫悗緙鏍戠粍涔熼愭笎琚帴鍙椼?br>涓浜涚畻娉曪細緗戠粶嫻佹柟闈紝涓嶅皯閫夋墜寮濮嬫帉鎻ush
-relabel綆楁硶鑰屾斁寮冧簡緇忓吀鐨刦ord-fulkerson綆楁硶錛涘垬姹濅匠鐨勪功騫夸負浼犻槄鍚庯紝涓嶅皯閫夋墜鍙堟帉鎻′簡fractional programming鍜宒inkelbach綆楁硶銆傜洰鍓嶈兘鐔熺粌瀹炵幇l(fā)inear programming鐨勯夋墜杈冨皯錛屼絾鍙互棰勮榪囦竴孌墊椂闂磋繖涔熶細鎴愪負蹇呭鐨勬妧鑳姐?br>璁$畻鍑犱綍涓鐩存槸ACM ICPC閲岄潰鐨勯毦棰樸備笉浠呯紪紼嬪洶闅撅紝鏇寸敱浜庣簿搴﹂棶棰樺鑷撮潪甯擱毦鍋氬銆傝綆楀嚑浣曞線寰鏄湪姣旇禌鏃惰鏀懼純鐨勯鐩傚嵆浣跨畻娉曞茍涓嶉潪甯擱毦錛岄夋墜涔熶笉鏁㈤殢鎰忓幓鍋氥?br>涓浜涢浂鏁g殑緇忓吀鍐呭涔熻鎷垮嚭鏉ヨ冨療錛屽stable marriage錛宖ft絳夈?br>鎬葷粨鍜屼竴浜涢璁?br>鍩烘湰涓婏紝瀹炵幇璧鋒潵涓嶇畻澶鏉傜殑澶氶」寮忔椂闂村鏉傚害鐨勭畻娉曢兘鍙互鍑烘垚涓閬揂CM ICPC鐨勯鐩傝屽嚭棰樿呯煡璇嗛潰鐨勪笉鍋滃闀匡紝涔熶嬌寰楄秺鏉ヨ秺澶氳繖鏍風殑綆楁硶琚寘鎷傚彟涓鏂歸潰錛岄殢鐫綆楁硶鐨勫彂灞曪紝涓浜涘師鏈病鏈夌畝鍗曠畻娉曠殑棰樼洰涔熷嚭鐜頒簡鏂扮殑瑙f硶錛岃繖鏍風殑棰樼洰涔熻鍔犲叆鍒癆CM ICPC涓侫CM ICPC緇忚繃澶氬勾鐨勭Н绱湁鐫澶ч噺鐨勯鐩紝鍏惰鐩栭潰涔熸槸闈炲父涔嬪箍銆?br>鍙互棰勮涓浜涙柊鐨勪紭縐鐨勭畻娉曞皢闄嗙畫鍑虹幇鍦ˋCM ICPC涓傛瘮濡傜敱浜庝換鎰忓浘鍖歸厤鐨凟dmonds-Carp綆楁硶瀹炵幇璧鋒潵闈炲父綣佺悙錛屼嬌寰桰CPC涓竴鐩翠笉鍑虹幇浠繪剰鍥懼尮閰嶇殑棰樼洰錛堝嵆浣挎湁涔熸槸瑙勬ā闈炲父灝忥級銆傝孷ijay Vazirani鐨勮鏂?/span><<matching is as easy as matrix inversion>>涓粰鍑轟簡涓縐嶉氱敤鐨勯氳繃鐭╅樀姹傞嗚屾眰鍚勭鍖歸厤鐨勭畻娉曪紝铏界劧璇ョ畻娉曞疄鐜拌搗鏉ユ湁涓涓毦鐐癸紝浣嗙浉淇″皢浼氳涓浜涢夋墜閲囩敤錛屼粠鑰屽嚭鐜頒竴浜涗換鎰忓浘鍖歸厤鐨勯鐩紝鐢氳嚦鏇村洶闅劇殑exact match錛堣闂鐩墠娌℃湁deterministic polynomial-time algorithm錛屼絾鐢ㄤ笂闈㈢殑鏂規(guī)硶鍙互寰楀嚭涓涓鐜囩畻娉曪級銆?br>鑰屼竴浜涙柊鐨勯鍩熶篃蹇呭皢緇橝CM ICPC鐨勫嚭棰樿呭甫鏉ョ伒鎰熴備緥濡傚凡鏈夎秺鏉ヨ秺澶欱io-informatics鐨勯鐩湪ICPC涓嚭鐜般備竴浜涙湁鐫澶氶」寮忕畻娉曠殑濂介鐩紝濡俰nversion distance of signed permutations錛屽垯鐢變簬鍏剁悊璁虹殑澶嶆潅鑰屽皻鏈嚭鐜板湪棰樼洰涓?br>鍥捐涓繕鏈夋暟涓嶈儨鏁扮殑濂界殑棰樼洰錛屾瘮濡俵inear time姹俶inimum cut錛岃繕鏈塆omory-Hu tree鐨勫簲鐢紝榪欎簺涔熷繀灝嗗湪涓嶄箙鐨勫皢鏉ュ嚭鐜板湪ICPC棰樼洰涓?br>鎴戣涓哄皢鍙戠敓鐨勫彟涓涓秼鍔挎槸錛岄殢鏈虹畻娉曪紝姒傜巼綆楁硶鍜岃繎浼肩畻娉曚細鍦ˋCM ICPC涓崰鏇村ぇ鐨勬瘮閲嶏紝鑷充簬瀵逛簬綆楁硶鑳藉姏鍜屼唬鐮佽兘鍔涜冮獙鐨勫鉤琛★紝鎴戜釜浜洪潪甯稿枩嬈㈡暟瀛﹀拰綆楁硶錛屾垜甯屾湜Final鐨勯鐩兘鍚戜腑嬈ц禌鍖虹殑棰樼洰闈犳嫝銆?br>ACM ICPC鑰冨療鐨勪笉浠呬粎鏄緇忓吀綆楁硶鐨勭悊瑙e拰鎺屾彙錛屽垱閫犵畻娉曠殑鑳藉姏鍚屾牱闈炲父閲嶈銆傚閭d箞澶氱畻娉曪紝蹇呴』浠庝腑鏈夋墍棰嗘?zhèn)熷Q屾墠鑳藉湪璧涘満涓婃湁鐏墊劅鍘昏В鍐沖疄闄呯殑闂銆?br>濡傛灉澶у鏈夊叴瓚g殑璇濇垜鍙互鎵懼嚑涓叿浣撶殑闂璇︾粏鍒嗘瀽錛屾垨鏄璁轟竴浜涘叿浣撶殑綆楁硶鐞嗚銆傚悓鏍風殑鎴戜篃涔愭剰鍒嗕韓涓浜汚CM璧涘満涓婄殑緇忛獙錛屽拰鍦ㄥ悇澶х畻娉曟瘮璧涗腑璁よ瘑鐨勪竴浜涙湁瓚g殑浜猴紝鍜岀粡鍘嗚繃鐨勪竴浜涙湁瓚g殑浜嬨傚寙鍖嗗啓瀹屾鏂囷紝鐤忔紡涔嬪鍦ㄦ墍闅懼厤錛岄昏緫涓婁篃涓嶇敋榪炶瘡錛屽笇鏈涘ぇ瀹惰璋呫?nbsp;

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閫掑綊鏂圭▼緇勮В鐨勬笎榪涢樁鐨勬眰娉曗斺斿樊鍒嗘柟紼嬫硶http://www.shnenglu.com/zzfmars/archive/2010/08/20/124081.htmlKevin_ZhangKevin_ZhangFri, 20 Aug 2010 05:04:00 GMThttp://www.shnenglu.com/zzfmars/archive/2010/08/20/124081.htmlhttp://www.shnenglu.com/zzfmars/comments/124081.htmlhttp://www.shnenglu.com/zzfmars/archive/2010/08/20/124081.html#Feedback0http://www.shnenglu.com/zzfmars/comments/commentRss/124081.htmlhttp://www.shnenglu.com/zzfmars/services/trackbacks/124081.htmlhttp://blog.csdn.net/explore_knight/archive/2007/09/17/1788046.aspx
榪欓噷鍙冭檻褰㈠錛?/p>

T(n)=c1T(n-1)+c2T(n-2)+…+ ckT(n-k)+f(n)錛宯≥k (6.18)

鐨勯掑綊鏂圭▼銆傚叾涓璫i (i=l錛?錛?#8230;錛宬)涓哄疄甯告暟錛屼笖ck≠0銆傚畠鍙敼鍐欎負涓涓嚎鎬у父緋繪暟k闃墮潪榻愭鐨勫樊鍒嗘柟紼嬶細

T(n)-c1T(n-1)- c2T(n-2)-…-ckT(n-k)=f(n)錛宯≥k (6.19)

(6.19)涓庣嚎鎬у父緋繪暟k闃墮潪榻愭甯稿井鍒嗘柟紼嬬殑緇撴瀯鍗佸垎鐩鎬技錛屽洜鑰岃В娉曠被鍚屻傞檺浜庣瘒騫咃紝榪欓噷鐩存帴緇欏嚭(6.19)鐨勮В娉曪紝鐣ュ幓鍏舵紜х殑璇佹槑銆?/p>

絎竴姝ワ紝姹?6.19)鎵瀵瑰簲鐨勯綈嬈℃柟紼嬶細

T(n)-c1T(n-1)- c2T(n-2)-…-ckT(n-k)=0 (6.20)

鐨勫熀鏈В緋伙細鍐欏嚭(6.20)鐨勭壒寰佹柟紼嬶細

C(t)=tk-c1tk-1-c2tk-2 -…-ck=0 (6.21)

鑻=r鏄?6.21)鐨刴閲嶅疄鏍癸紝鍒欏緱(6.20)鐨刴涓熀紜瑙n錛宯rn錛宯2rn錛?#8230;錛宯m-1rn錛涜嫢ρeiθ鍜?#961;e-iθ鏄?6.21)鐨勪竴瀵筶閲嶇殑鍏辨壖澶嶆牴錛屽垯寰?6.20)鐨?l涓熀紜瑙?#961;ncosnθ錛?#961;nsinnθ錛宯ρncosnθ錛宯ρnsinnθ錛?#8230;錛宯l-1ρncosnθ錛宯l-1ρncosnθ銆傚姝わ紝姹傚嚭(6.21)鐨勬墍鏈夌殑鏍癸紝灝卞彲浠ュ緱鍒?6.20)鐨刱涓殑鍩虹瑙c傝屼笖錛岃繖k涓熀紜瑙f瀯鎴愪簡(6.20)鐨勫熀紜瑙g郴銆傚嵆(6.20)鐨勪換鎰忎竴涓В閮藉彲浠ヨ〃紺烘垚榪檏涓熀紜瑙g殑綰挎х粍鍚堛?/p>

絎簩姝ワ紝姹?6.19)鐨勪竴涓壒瑙c傜悊璁轟笂錛?6.19)鐨勭壒瑙e彲浠ョ敤Lagrange甯告暟鍙樻槗娉曞緱鍒般備絾鍏朵腑瑕佺敤鍒?6.20)鐨勯氳В鐨勬樉寮忚〃杈撅紝鍗?6.20)鐨勫熀紜瑙g郴鐨勭嚎鎬х粍鍚堬紝鍗佸垎楹葷儲銆傚洜姝ゅ湪瀹為檯涓紝甯稿父閲囩敤璇曟帰娉曪紝涔熷氨鏄牴鎹甪(n)鐨勭壒鐐規(guī)帹嫻嬬壒瑙g殑褰㈠紡錛岀暀涓嬭嫢騫插彲璋冪殑甯告暟錛屽皢鎺ㄦ祴瑙d唬浜?6.19)鍚庣‘瀹氥傜敱浜?6.19)鐨勭壒孌婃э紝鍙互鍒╃敤榪姞鍘熺悊錛屽皢f(n)綰挎у垎瑙d負鑻ュ共涓崟欏逛箣鍜屽茍姹傚嚭鍚勫崟欏圭浉搴旂殑鐗硅В錛岀劧鍚庤凱鍔犱究寰楀埌f(n)鐩稿簲鐨勭壒瑙c傝繖浣垮緱璇曟帰娉曟洿涓烘湁鏁堛備負浜嗘柟渚匡紝榪欓噷瀵逛笁縐嶇壒孌婂艦寮忕殑f(n)錛岀粰鍑?6.19)鐨勭浉搴旂壒瑙e茍鍒楀湪琛?-1涓紝鍙緵鐩存帴濂楃敤銆傚叾涓璸i錛宨=1,2,…,s鏄緟瀹氬父鏁般?/p>

琛?-1 鏂圭▼(6.19)鐨勫父鐢ㄧ壒瑙e艦寮?/p>

f(n)鐨勫艦寮?nbsp; 鏉?nbsp;   浠?nbsp; 鏂圭▼(6.19)鐨勭壒瑙g殑褰㈠紡 


{姝ゅ鏃犳硶姝e父鏄劇ず錛岃鐪嬪師鏂囥倉



絎笁姝ワ紝鍐欏嚭(6.19)鍗?6.18)鐨勯氳В

 (6.22)

鍏朵腑{Ti(n)錛宨=0,1,2,…,n}鏄?6.20)鐨勫熀紜瑙g郴錛実(n)鏄?6.19)鐨勪竴涓壒瑙c傜劧鍚庣敱(6.18)鐨勫垵濮嬫潯浠?/p>

T(i)=Ti 錛宨=1,2,…,k-1

鏉ョ‘瀹?6.22)涓殑寰呭畾鐨勭粍鍚堝父鏁皗ai}錛屽嵆渚濋潬綰挎ф柟紼嬬粍

 

鎴?/p>

 

瑙e嚭{ai}錛屽茍浠e洖(6.22)銆傚叾涓?#946;j=Tj-g(j)錛宩=0,1,2,…,k-1銆?/p>

絎洓姝ワ紝浼拌(6.22)鐨勬笎榪戦樁錛屽嵆涓烘墍瑕佹眰銆?/p>

涓嬮潰鐢ㄤ袱涓緥瀛愬姞浠ヨ鏄庛?/p>

渚媗 鑰冭檻閫掑綊鏂圭▼

 

瀹冪殑鐩稿簲鐗瑰緛鏂圭▼涓猴細

C(t)=t2-t-1=0

瑙d箣寰椾袱涓崟鏍瑰拰銆傜浉搴旂殑(6.20)鐨勫熀紜瑙g郴涓簕r0n錛宺1n}銆傜浉搴旂殑(6.19)鐨勪竴涓壒瑙d負F*(n)=-8錛屽洜鑰岀浉搴旂殑(6.19)鐨勯氳В涓猴細

F(n)=a0r0n +a1r1n- 8

浠ゅ叾婊¤凍鍒濆鏉′歡錛屽緱浜岄樁綰挎ф柟紼嬬粍錛?/p>

 

鎴?/p>

 

鎴?/p>

 

瑙d箣寰楋紝錛屼粠鑰?/p>

 

浜庢槸

銆?/p>

渚? 鑰冭檻閫掑綊鏂圭▼

T(n)=4T(n-1)-4T(n-2)+2nn (6.23)

鍜屽垵濮嬫潯浠禩(0)=0錛孴(1)=4/3銆?/p>

瀹冨搴旂殑鐗瑰緛鏂圭▼(6.21)涓?/p>

C(t)=t2-4t+4=0

鏈変竴涓袱閲嶆牴r =2銆傛晠鐩稿簲鐨?6.20)鐨勫熀紜瑙g郴涓簕2n錛?nn}銆傜敱浜巉(n)=2nn錛屽埄鐢ㄨ〃6-1錛岀浉搴旂殑(6.19)鐨勪竴涓壒瑙d負

T*(n)=n2(p0+p1n)2n錛?/p>

浠d漢(6.23)錛屽畾鍑簆0=1/2錛宲1=1/6銆傚洜姝ょ浉搴旂殑(6.19)鐨勯氳В涓猴細

T(n)=a02n+a1n2n+n2(1/2+n/6)2n錛?/p>

浠ゅ叾婊¤凍鍒濆鏉′歡寰梐0=a1=0錛屼粠鑰?/p>

T(n)=n2(1/2+n/6)2n

浜庢槸T(n)=θ(n32n)銆?/p>

 

鏈枃鏉ヨ嚜CSDN鍗氬錛岃漿杞借鏍囨槑鍑哄錛?a >http://blog.csdn.net/explore_knight/archive/2007/09/17/1788046.aspx



]]>
綆楁硶鐨勫鏉傛?/title><link>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124080.html</link><dc:creator>Kevin_Zhang</dc:creator><author>Kevin_Zhang</author><pubDate>Fri, 20 Aug 2010 04:58:00 GMT</pubDate><guid>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124080.html</guid><wfw:comment>http://www.shnenglu.com/zzfmars/comments/124080.html</wfw:comment><comments>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124080.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/zzfmars/comments/commentRss/124080.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/zzfmars/services/trackbacks/124080.html</trackback:ping><description><![CDATA[<a >http://www.ahhf45.com/info/Data_Structures_and_Algorithms/algorithm/complexity/index.htm</a><br> <h1 class=title>綆楁硶鐨勫鏉傛?/h1> <p class=author>鍌呮竻紲?鐜嬫檽涓?br><cite>綆楁硶涓庢暟鎹粨鏋?/cite> , 鐢?shù)瀛愬伐涓氬嚭鐗埥C?1998</p> <p class=noindent><strong>鎽樿</strong></p> <p class=abstract>鏈枃浠嬬粛浜嗙畻娉曠殑澶嶆潅鎬х殑姒傚康鍜岃 閲忔柟娉曪紝騫舵彁渚涗簡涓浜涜綆楃畻娉曠殑澶嶆潅鎬х殑娓愯繎闃剁殑鏂規(guī)硶銆?/p> <p class=noindent><strong>鐩綍</strong></p> <ul class=contents> <li><a ><u><font color=#800080>綆浠?/font></u></a> <li><a ><u><font color=#0000ff>姣旇緝涓ゅ綆楁硶鐨勬晥鐜?/font></u></a> <li><a ><font color=#0000ff><u>澶嶆潅鎬х殑璁¢噺 </u></font></a> <li><a ><font color=#0000ff><u>澶嶆潅鎬х殑娓愯繎鎬ф佸強鍏墮樁 </u></font></a> <li><a ><u><font color=#0000ff>澶嶆潅鎬ф笎榪戦樁鐨勯噸瑕佹?</font></u></a> <li><a ><u><font color=#0000ff>綆楁硶澶嶆潅鎬ф笎榪戦樁鐨勫垎鏋?/font></u></a> <li><a ><font color=#800080><u>閫掑綊鏂圭▼緇勭殑娓愯繎闃剁殑姹傛硶 </u></font></a> <li><a ><u><font color=#800080>1.浠e叆娉?/font></u></a> <li><a ><u><font color=#0000ff>2.榪唬娉?/font></u></a> <li><a ><u><font color=#0000ff>3.濂楃敤鍏紡娉?/font></u></a> <li><a ><u><font color=#0000ff>4.宸垎鏂圭▼娉?/font></u></a> <li><a ><u><font color=#0000ff>5.姣嶅嚱鏁版硶</font></u></a> </li> </ul> <!-- #EndEditable --> <img src ="http://www.shnenglu.com/zzfmars/aggbug/124080.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.shnenglu.com/zzfmars/" target="_blank">Kevin_Zhang</a> 2010-08-20 12:58 <a href="http://www.shnenglu.com/zzfmars/archive/2010/08/20/124080.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>ACM鐨勭畻娉曪紙瑙夊緱寰堝ソ錛屾湁灞傛鎰?http://www.shnenglu.com/zzfmars/archive/2010/08/20/124064.htmlKevin_ZhangKevin_ZhangFri, 20 Aug 2010 01:45:00 GMThttp://www.shnenglu.com/zzfmars/archive/2010/08/20/124064.htmlhttp://www.shnenglu.com/zzfmars/comments/124064.htmlhttp://www.shnenglu.com/zzfmars/archive/2010/08/20/124064.html#Feedback0http://www.shnenglu.com/zzfmars/comments/commentRss/124064.htmlhttp://www.shnenglu.com/zzfmars/services/trackbacks/124064.htmlOJ涓婄殑涓浜涙按棰?鍙敤鏉ョ粌鎵嬪拰澧炲姞鑷俊)

(poj3299,poj2159,poj2739,poj1083,poj2262,poj1503,poj3006,poj2255,poj3094錛?/font>

鍒濇湡:

涓.鍩烘湰綆楁硶:  

     (1)鏋氫婦. (poj1753,poj2965)

     (2)璐績(poj1328,poj2109,poj2586)

     (3)閫掑綊鍜屽垎娌繪硶.  

     (4)閫掓帹.  

     (5)鏋勯犳硶.(poj3295)

     (6)妯℃嫙娉?(poj1068,poj2632,poj1573,poj2993,poj2996)

浜?鍥劇畻娉?  

     (1)鍥劇殑娣卞害浼樺厛閬嶅巻鍜屽箍搴︿紭鍏堥亶鍘?  

     (2)鏈鐭礬寰勭畻娉?dijkstra,bellman-ford,floyd,heap+dijkstra)  

        (poj1860,poj3259,poj1062,poj2253,poj1125,poj2240)

     (3)鏈灝忕敓鎴愭爲綆楁硶(prim,kruskal)

        (poj1789,poj2485,poj1258,poj3026)

     (4)鎷撴墤鎺掑簭 (poj1094)

     (5)浜屽垎鍥劇殑鏈澶у尮閰?(鍖堢墮鍒╃畻娉? (poj3041,poj3020)

     (6)鏈澶ф祦鐨勫騫胯礬綆楁硶(KM綆楁硶). (poj1459,poj3436)

涓?鏁版嵁緇撴瀯.  

     (1)涓?(poj1035,poj3080,poj1936)

     (2)鎺掑簭(蹇帓銆佸綊騫舵帓(涓庨嗗簭鏁版湁鍏?銆佸爢鎺? (poj2388,poj2299)

     (3)綆鍗曞茍鏌ラ泦鐨勫簲鐢?  

     (4)鍝堝笇琛ㄥ拰浜屽垎鏌ユ壘絳夐珮鏁堟煡鎵炬硶(鏁扮殑Hash,涓茬殑Hash)   

        (poj3349,poj3274,POJ2151,poj1840,poj2002,poj2503)

     (5)鍝堝か鏇兼爲(poj3253)

     (6)鍫?nbsp; 

     (7)trie鏍?闈欐佸緩鏍戙佸姩鎬佸緩鏍? (poj2513)

鍥?綆鍗曟悳绱?nbsp; 

     (1)娣卞害浼樺厛鎼滅儲 (poj2488,poj3083,poj3009,poj1321,poj2251)

     (2)騫垮害浼樺厛鎼滅儲(poj3278,poj1426,poj3126,poj3087.poj3414)

     (3)綆鍗曟悳绱㈡妧宸у拰鍓灊(poj2531,poj1416,poj2676,1129)

浜?鍔ㄦ佽鍒?nbsp; 

     (1)鑳屽寘闂. (poj1837,poj1276)

     (2)鍨嬪涓嬭〃鐨勭畝鍗旸P(鍙弬鑰僱rj鐨勪功 page149):  

       1.E[j]=opt{D+w(i,j)} (poj3267,poj1836,poj1260,poj2533)

       2.E[i,j]=opt{D[i-1,j]+xi,D[i,j-1]+yj,D[i-1][j-1]+zij} (鏈闀垮叕鍏卞瓙搴忓垪)     

         (poj3176,poj1080,poj1159)

       3.C[i,j]=w[i,j]+opt{C[i,k-1]+C[k,j]}.(鏈浼樹簩鍒嗘绱㈡爲闂)  

鍏?鏁板  

     (1)緇勫悎鏁板:  

        1.鍔犳硶鍘熺悊鍜屼箻娉曞師鐞?  

        2.鎺掑垪緇勫悎.  

        3.閫掓帹鍏崇郴.  

          (POJ3252,poj1850,poj1019,poj1942)

     (2)鏁拌.  

        1.绱犳暟涓庢暣闄ら棶棰?nbsp; 

        2.榪涘埗浣?  

        3.鍚屼綑妯¤繍綆?

          (poj2635, poj3292,poj1845,poj2115)

     (3)璁$畻鏂規(guī)硶.  

        1.浜屽垎娉曟眰瑙e崟璋冨嚱鏁扮浉鍏崇煡璇?(poj3273,poj3258,poj1905,poj3122)

涓?璁$畻鍑犱綍瀛?  

     (1)鍑犱綍鍏紡.

     (2)鍙夌Н鍜岀偣縐殑榪愮敤(濡傜嚎孌電浉浜ょ殑鍒ゅ畾,鐐瑰埌綰挎鐨勮窛紱葷瓑). (poj2031,poj1039)

     (3)澶氳竟鍨嬬殑綆鍗曠畻娉?姹傞潰縐?鍜岀浉鍏沖垽瀹?鐐瑰湪澶氳竟鍨嬪唴,澶氳竟鍨嬫槸鍚︾浉浜?  

         (poj1408,poj1584)

     (4)鍑稿寘.  (poj2187,poj1113)

涓駭:

涓.鍩烘湰綆楁硶:  

     (1)C++鐨勬爣鍑嗘ā鐗堝簱鐨勫簲鐢? (poj3096,poj3007)

     (2)杈冧負澶嶆潅鐨勬ā鎷熼鐨勮緇?poj3393,poj1472,poj3371,poj1027,poj2706)

浜?鍥劇畻娉?  

     (1)宸垎綰︽潫緋葷粺鐨勫緩绔嬪拰姹傝В. (poj1201,poj2983)

     (2)鏈灝忚垂鐢ㄦ渶澶ф祦(poj2516,poj2516,poj2195)

     (3)鍙岃繛閫氬垎閲?poj2942)

     (4)寮鴻繛閫氬垎鏀強鍏剁緝鐐?(poj2186)

     (5)鍥劇殑鍓茶竟鍜屽壊鐐?poj3352)

     (6)鏈灝忓壊妯″瀷銆佺綉緇滄祦瑙勭害(poj3308, )

涓?鏁版嵁緇撴瀯.  

     (1)綰挎鏍? (poj2528,poj2828,poj2777,poj2886,poj2750)

     (2)闈欐佷簩鍙夋绱㈡爲. (poj2482,poj2352)

     (3)鏍戠姸鏍戠粍(poj1195,poj3321)

     (4)RMQ. (poj3264,poj3368)

     (5)騫舵煡闆嗙殑楂樼駭搴旂敤. (poj1703,2492)

     (6)KMP綆楁硶. (poj1961,poj2406)

鍥?鎼滅儲  

     (1)鏈浼樺寲鍓灊鍜屽彲琛屾у壀鏋?nbsp; 

     (2)鎼滅儲鐨勬妧宸у拰浼樺寲 (poj3411,poj1724)

     (3)璁板繂鍖栨悳绱?poj3373,poj1691)

      

浜?鍔ㄦ佽鍒?nbsp; 

     (1)杈冧負澶嶆潅鐨勫姩鎬佽鍒?濡傚姩鎬佽鍒掕В鐗瑰埆鐨勬柦琛屽晢闂絳?

         (poj1191,poj1054,poj3280,poj2029,poj2948,poj1925,poj3034)

     (2)璁板綍鐘舵佺殑鍔ㄦ佽鍒? (POJ3254,poj2411,poj1185)

     (3)鏍戝瀷鍔ㄦ佽鍒?poj2057,poj1947,poj2486,poj3140)

鍏?鏁板  

     (1)緇勫悎鏁板:  

        1.瀹規(guī)枼鍘熺悊.  

        2.鎶藉眽鍘熺悊.  

        3.緗崲緹や笌Polya瀹氱悊(poj1286,poj2409,poj3270,poj1026).  

        4.閫掓帹鍏崇郴鍜屾瘝鍑芥暟.  

         

     (2)鏁板.  

        1.楂樻柉娑堝厓娉?poj2947,poj1487, poj2065,poj1166,poj1222)

        2.姒傜巼闂. (poj3071,poj3440)

        3.GCD銆佹墿灞曠殑嬈у嚑閲屽痙(涓浗鍓╀綑瀹氱悊) (poj3101)  

     (3)璁$畻鏂規(guī)硶.  

        1.0/1鍒嗘暟瑙勫垝. (poj2976)

        2.涓夊垎娉曟眰瑙e崟宄?鍗曡胺)鐨勬瀬鍊?  

        3.鐭╅樀娉?poj3150,poj3422,poj3070)

        4.榪唬閫艱繎(poj3301)

     (4)闅忔満鍖栫畻娉?poj3318,poj2454)

     (5)鏉傞.

         (poj1870,poj3296,poj3286,poj1095)

涓?璁$畻鍑犱綍瀛?  

        (1)鍧愭爣紱繪暎鍖?  

        (2)鎵弿綰跨畻娉?渚嬪姹傜煩褰㈢殑闈㈢Н鍜屽懆闀垮茍,甯稿拰綰挎鏍戞垨鍫嗕竴璧蜂嬌鐢?.  

            (poj1765,poj1177,poj1151,poj3277,poj2280,poj3004)

        (3)澶氳竟褰㈢殑鍐呮牳(鍗婂鉤闈氦)(poj3130,poj3335)

        (4)鍑犱綍宸ュ叿鐨勭患鍚堝簲鐢?(poj1819,poj1066,poj2043,poj3227,poj2165,poj3429)

楂樼駭:

涓.鍩烘湰綆楁硶瑕佹眰:   

      (1)浠g爜蹇熷啓鎴?綺劇畝浣嗕笉澶遍鏍?nbsp;  

          (poj2525,poj1684,poj1421,poj1048,poj2050,poj3306)

      (2)淇濊瘉姝g‘鎬у拰楂樻晥鎬?  poj3434

浜?鍥劇畻娉?  

      (1)搴﹂檺鍒舵渶灝忕敓鎴愭爲鍜岀K鏈鐭礬. (poj1639)

      (2)鏈鐭礬,鏈灝忕敓鎴愭爲,浜屽垎鍥?鏈澶ф祦闂鐨勭浉鍏崇悊璁?涓昏鏄ā鍨嬪緩绔嬪拰姹傝В)

         (poj3155, poj2112,poj1966,poj3281,poj1087,poj2289,poj3216,poj2446

      (3)鏈浼樻瘮鐜囩敓鎴愭爲.  (poj2728)

      (4)鏈灝忔爲褰㈠浘(poj3164)

      (5)嬈″皬鐢熸垚鏍?  

      (6)鏃犲悜鍥俱佹湁鍚戝浘鐨勬渶灝忕幆   

涓?鏁版嵁緇撴瀯.   

      (1)trie鍥劇殑寤虹珛鍜屽簲鐢? (poj2778)

      (2)LCA鍜孯MQ闂(LCA(鏈榪戝叕鍏辯鍏堥棶棰? 鏈夌綰跨畻娉?騫舵煡闆?dfs) 鍜?鍦ㄧ嚎綆楁硶  

          (RMQ+dfs)).(poj1330)

      (3)鍙岀闃熷垪鍜屽畠鐨勫簲鐢?緇存姢涓涓崟璋冪殑闃熷垪,甯稿父鍦ㄥ姩鎬佽鍒掍腑璧峰埌浼樺寲鐘舵佽漿縐葷殑

          鐩殑).  (poj2823)

      (4)宸﹀亸鏍?鍙悎騫跺爢).   

      (5)鍚庣紑鏍?闈炲父鏈夌敤鐨勬暟鎹粨鏋?涔熸槸璧涘尯鑰冮鐨勭儹鐐?.  

         (poj3415,poj3294)

鍥?鎼滅儲   

      (1)杈冮夯鐑︾殑鎼滅儲棰樼洰璁粌(poj1069,poj3322,poj1475,poj1924,poj2049,poj3426)

      (2)騫挎悳鐨勭姸鎬佷紭鍖?鍒╃敤M榪涘埗鏁板瓨鍌ㄧ姸鎬併佽漿鍖栦負涓茬敤hash琛ㄥ垽閲嶃佹寜浣嶅帇緙╁瓨鍌ㄧ姸鎬併佸弻鍚戝箍鎼溿丄*綆楁硶. (poj1768,poj1184,poj1872,poj1324,poj2046,poj1482)

      (3)娣辨悳鐨勪紭鍖?灝介噺鐢ㄤ綅榪愮畻銆佷竴瀹氳鍔犲壀鏋濄佸嚱鏁板弬鏁板敖鍙兘灝戙佸眰鏁頒笉鏄撹繃澶с佸彲浠ヨ冭檻鍙屽悜鎼滅儲鎴栬呮槸杞崲鎼滅儲銆両DA*綆楁硶. (poj3131,poj2870,poj2286)

浜?鍔ㄦ佽鍒?nbsp;  

      (1)闇瑕佺敤鏁版嵁緇撴瀯浼樺寲鐨勫姩鎬佽鍒?

         (poj2754,poj3378,poj3017)

      (2)鍥涜竟褰笉絳夊紡鐞嗚.  

      (3)杈冮毦鐨勭姸鎬丏P(poj3133)

鍏?鏁板   

      (1)緇勫悎鏁板.  

        1.MoBius鍙嶆紨(poj2888,poj2154)

        2.鍋忓簭鍏崇郴鐞嗚.  

      (2)鍗氬璁?  

        1.鏋佸ぇ鏋佸皬榪囩▼(poj3317,poj1085)

        2.Nim闂.  

涓?璁$畻鍑犱綍瀛?   

      (1)鍗婂鉤闈㈡眰浜?poj3384,poj2540)

      (2)鍙鍥劇殑寤虹珛(poj2966)

      (3)鐐歸泦鏈灝忓渾瑕嗙洊.  

      (4)瀵硅傅鐐?poj2079)

      鍏?緇煎悎棰?

      (poj3109,poj1478,poj1462,poj2729,poj2048,poj3336,poj3315,poj2148,poj1263)

 

Dp鐘舵佽璁′笌鏂圭▼鎬葷粨

 

1.涓嶅畬鍏ㄧ姸鎬佽褰?/p>

<1>闈掕洐榪囨渤闂

<2>鍒╃敤鍖洪棿dp

2.鑳屽寘綾婚棶棰?/p>

<1> 0-1鑳屽寘錛岀粡鍏擱棶棰?/p>

<2>鏃犻檺鑳屽寘錛岀粡鍏擱棶棰?/p>

<3>鍒ゅ畾鎬ц儗鍖呴棶棰?/p>

<4>甯﹂檮灞炲叧緋葷殑鑳屽寘闂

<5> + -1鑳屽寘闂

<6>鍙岃儗鍖呮眰鏈浼樺?/p>

<7>鏋勯犱笁瑙掑艦闂

<8>甯︿笂涓嬬晫闄愬埗鐨勮儗鍖呴棶棰?012鑳屽寘)

3.綰挎х殑鍔ㄦ佽鍒掗棶棰?/p>

<1>縐湪娓告垙闂

<2>鍐蟲枟錛堝垽瀹氭ч棶棰橈級

<3>鍦嗙殑鏈澶у杈瑰艦闂

<4>緇熻鍗曡瘝涓暟闂

<5>媯嬬洏鍒嗗壊

<6>鏃ョ▼瀹夋帓闂

<7>鏈灝忛艱繎闂(姹傚嚭涓ゆ暟涔嬫瘮鏈鎺ヨ繎鏌愭暟/涓ゆ暟涔嬪拰絳変簬鏌愭暟絳夌瓑)

<8>鏂瑰潡娑堥櫎娓告垙(鏌愬尯闂村彲浠ヨ繛緇秷鍘繪眰鏈澶ф晥鐩?

<9>璧勬簮鍒嗛厤闂

<10>鏁板瓧涓夎褰㈤棶棰?/p>

<11>婕備寒鐨勬墦鍗?/p>

<12>閭眬闂涓庢瀯閫犵瓟妗?/p>

<13>鏈楂樼Н鏈ㄩ棶棰?/p>

<14>涓ゆ榪炵畫鍜屾渶澶?/p>

<15>2嬈″箓鍜岄棶棰?/p>

<16>N涓暟鐨勬渶澶孌靛瓙孌靛拰

<17>浜ゅ弶鏈澶ф暟闂

4.鍒ゅ畾鎬ч棶棰樼殑dp(濡傚垽瀹氭暣闄ゃ佸垽瀹氬彲杈炬х瓑)   

<1>妯闂鐨刣p

<2>鐗規(guī)畩鐨勬āK闂錛屾眰鏈澶?鏈灝?妯鐨勬暟

<3>鍙樻崲鏁伴棶棰?/p>

5.鍗曡皟鎬т紭鍖栫殑鍔ㄦ佽鍒?/p>

<1>1-SUM闂

<2>2-SUM闂

<3>搴忓垪鍒掑垎闂(鍗曡皟闃熷垪浼樺寲)

6.鍓栧垎闂(澶氳竟褰㈠墫鍒?鐭沖瓙鍚堝茍/鍦嗙殑鍓栧垎/涔樼Н鏈澶?

<1>鍑稿杈瑰艦鐨勪笁瑙掑墫鍒嗛棶棰?/p>

<2>涔樼Н鏈澶ч棶棰?/p>

<3>澶氳竟褰㈡父鎴?澶氳竟褰㈣竟涓婃槸鎿嶄綔絎?欏剁偣鏈夋潈鍊?

<4>鐭沖瓙鍚堝茍(N^3/N^2/NLogN鍚勭浼樺寲)

7.璐績鐨勫姩鎬佽鍒?/p>

<1>鏈浼樿杞介棶棰?/p>

<2>閮ㄥ垎鑳屽寘闂

<3>涔樿埞闂

<4>璐績絳栫暐

<5>鍙屾満璋冨害闂Johnson綆楁硶

8.鐘舵乨p

<1>鐗涗粩灝勫嚮闂(鍗氬紙綾?

<2>鍝堝瘑欏胯礬寰勭殑鐘舵乨p

<3>涓ゆ敮鐐瑰ぉ騫沖鉤琛¢棶棰?/p>

<4>涓涓湁鍚戝浘鐨勬渶鎺ヨ繎浜岄儴鍥?/p>

9.鏍戝瀷dp

<1>瀹岀編鏈嶅姟鍣ㄩ棶棰?姣忎釜鑺傜偣鏈?縐嶇姸鎬?

<2>灝忚儢瀹堢殗瀹棶棰?/p>

<3>緗戠粶鏀惰垂闂

<4>鏍戜腑婕父闂

<5>鏍戜笂鐨勫崥寮?/p>

<6>鏍戠殑鏈澶х嫭绔嬮泦闂

<7>鏍戠殑鏈澶у鉤琛″奸棶棰?/p>

<8>鏋勯犳爲鐨勬渶灝忕幆



]]>
瑙佽繃鐨勪竴涓鍒?/title><link>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124060.html</link><dc:creator>Kevin_Zhang</dc:creator><author>Kevin_Zhang</author><pubDate>Fri, 20 Aug 2010 01:34:00 GMT</pubDate><guid>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124060.html</guid><wfw:comment>http://www.shnenglu.com/zzfmars/comments/124060.html</wfw:comment><comments>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124060.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/zzfmars/comments/commentRss/124060.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/zzfmars/services/trackbacks/124060.html</trackback:ping><description><![CDATA[<div style="BORDER-RIGHT: #cccccc 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: #cccccc 1px solid; PADDING-LEFT: 4px; FONT-SIZE: 13px; PADDING-BOTTOM: 4px; BORDER-LEFT: #cccccc 1px solid; WIDTH: 98%; WORD-BREAK: break-all; PADDING-TOP: 4px; BORDER-BOTTOM: #cccccc 1px solid; BACKGROUND-COLOR: #eeeeee"><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><span style="COLOR: #000000">涓鑸鍋氬埌50琛屼互鍐呯殑紼嬪簭涓嶇敤璋冭瘯銆?00琛屼互鍐呯殑浜屽垎閽熷唴璋冭瘯鎴?br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鍔?acm涓昏鏄冪畻娉曠殑 <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>錛屼富瑕佹椂闂存槸鑺卞湪鎬濊冪畻娉曚笂錛屼笉鏄姳鍦ㄥ啓紼嬪簭涓巇ebug涓娿?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>涓嬮潰緇欎釜璁″垝浣犵粌緇冿細 <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>絎竴闃舵錛?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>    緇冪粡鍏稿父鐢ㄧ畻娉曪紝涓嬮潰鐨勬瘡涓畻娉曠粰鎴戞墦涓婂崄鍒頒簩鍗侀亶錛屽悓鏃?br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鑷繁綺劇畝浠g爜錛?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鍥犱負澶父鐢紝鎵浠ヨ緇冨埌鍐欐椂涓嶇敤鎯籌紝</span><span style="COLOR: #000000">10</span><span style="COLOR: #000000">-</span><span style="COLOR: #000000">15鍒嗛挓鍐呮墦瀹岋紝鐢氳嚦鍏蟲帀<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鏄劇ず鍣ㄩ兘鍙互鎶婄▼搴忔墦 <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鍑烘潵. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">1</span><span style="COLOR: #000000">.鏈鐭礬(Floyd銆丏ijstra,BellmanFord) <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">2</span><span style="COLOR: #000000">.鏈灝忕敓鎴愭爲(鍏堝啓涓猵rim,kruscal瑕佺敤騫舵煡闆嗭紝涓嶅ソ鍐? <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">3</span><span style="COLOR: #000000">.澶ф暟錛堥珮綺懼害錛夊姞鍑忎箻闄?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">4</span><span style="COLOR: #000000">.浜屽垎鏌ユ壘. (浠g爜鍙湪浜旇浠ュ唴) <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">5</span><span style="COLOR: #000000">.鍙変箻銆佸垽綰挎鐩鎬氦銆佺劧鍚庡啓涓嚫鍖? <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">6</span><span style="COLOR: #000000">.BFS銆丏FS,鍚屾椂鐔熺粌hash琛?瑕佺啛錛岃鐏墊椿,浠g爜瑕佺畝) <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">7</span><span style="COLOR: #000000">.鏁板涓婄殑鏈夛細杈楄漿鐩擱櫎錛堜袱琛屽唴錛夛紝綰挎浜ょ偣銆佸瑙掑艦闈㈢Н鍏紡. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">8</span><span style="COLOR: #000000">. 璋冪敤緋葷粺鐨剄sort, 鎶宸у緢澶氾紝鎱㈡參鎺屾彙. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">9</span><span style="COLOR: #000000">. 浠繪剰榪涘埗闂寸殑杞崲 <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>絎簩闃舵錛?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>    緇冧範澶嶆潅涓鐐癸紝浣嗕篃杈冨父鐢ㄧ殑綆楁硶銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>濡傦細 <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">1</span><span style="COLOR: #000000">. 浜屽垎鍥懼尮閰嶏紙鍖堢墮鍒╋級錛屾渶灝忚礬寰勮鐩?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">2</span><span style="COLOR: #000000">. 緗戠粶嫻侊紝鏈灝忚垂鐢ㄦ祦銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">3</span><span style="COLOR: #000000">. 綰挎鏍? <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">4</span><span style="COLOR: #000000">. 騫舵煡闆嗐?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">5</span><span style="COLOR: #000000">. 鐔熸?zhèn)夊姩鎬佽鍒掔殑鍚勪釜鍏稿瀷錛歀CS銆佹渶闀塊掑瀛愪覆銆佷笁瑙掑墫鍒嗐佽<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>蹇嗗寲dp <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">6</span><span style="COLOR: #000000">.鍗氬紙綾葷畻娉曘傚崥寮堟爲錛屼簩榪涘埗娉曠瓑銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">7</span><span style="COLOR: #000000">.鏈澶у洟錛屾渶澶х嫭绔嬮泦銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">8</span><span style="COLOR: #000000">.鍒ゆ柇鐐瑰湪澶氳竟褰㈠唴銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">9</span><span style="COLOR: #000000">. 宸垎綰︽潫緋葷粺. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">10</span><span style="COLOR: #000000">. 鍙屽悜騫垮害鎼滅儲銆丄</span><span style="COLOR: #000000">*</span><span style="COLOR: #000000">綆楁硶錛屾渶灝忚楁暎浼樺厛. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>絎笁闃舵錛?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>    鍓嶄袱涓樁孌墊槸鎵撳熀紜錛岀涓夐樁孌墊槸閿葷偧鍦ㄦ瘮璧涗腑鍙互蹇熷緩绔?br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>妯″瀷銆佹兂鏂扮畻娉?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>銆傝繖灝辮騫蟲椂澶氬仛鍋氱患鍚堢殑棰樺瀷浜嗐?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">1</span><span style="COLOR: #000000">. 鎶妎ibh涓婄殑璁烘枃鐪嬬湅錛堝ぇ姒傚嚑鐧劇瘒鐨勶紝鎴戝彧鐪嬩簡涓鐐圭偣錛屽懙鍛碉級<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>銆?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">2</span><span style="COLOR: #000000">. 騫蟲椂鎵壂zoj涓婄殑闅鵑鍟︼紝鍒佸仛閭d簺涓嶇敤鎯崇殑棰?(涓ぇacm鐨勭増<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top><br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>涓葷粡甯歌鎴戞寫綆鍗曠殑鏉?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top>鍋?</span><span style="COLOR: #000000">-</span><span style="COLOR: #000000">P ) <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">3</span><span style="COLOR: #000000">. 澶氬弬鍔犵綉涓婄殑姣旇禌錛屾劅鍙椾竴涓嬫瘮璧涚殑姘旀皼錛岃瘎浼拌嚜宸辯殑瀹炲姏. <br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span><span style="COLOR: #000000">4</span><span style="COLOR: #000000">. 涓閬撻涓嶈榪囦簡灝辯畻錛岄棶涓涓嬩漢錛屾湁鏇村ソ鐨勭畻娉曚篃鎵撲竴涓嬨?nbsp;<br><img src="http://www.shnenglu.com/Images/OutliningIndicators/None.gif" align=top></span></div> <img src ="http://www.shnenglu.com/zzfmars/aggbug/124060.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.shnenglu.com/zzfmars/" target="_blank">Kevin_Zhang</a> 2010-08-20 09:34 <a href="http://www.shnenglu.com/zzfmars/archive/2010/08/20/124060.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>綆楁硶涔﹀緩璁敹钘?/title><link>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124058.html</link><dc:creator>Kevin_Zhang</dc:creator><author>Kevin_Zhang</author><pubDate>Fri, 20 Aug 2010 01:26:00 GMT</pubDate><guid>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124058.html</guid><wfw:comment>http://www.shnenglu.com/zzfmars/comments/124058.html</wfw:comment><comments>http://www.shnenglu.com/zzfmars/archive/2010/08/20/124058.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.shnenglu.com/zzfmars/comments/commentRss/124058.html</wfw:commentRss><trackback:ping>http://www.shnenglu.com/zzfmars/services/trackbacks/124058.html</trackback:ping><description><![CDATA[Source錛?a ><span style="FONT-SIZE: 24pt">http://riddickbryant.javaeye.com/blog/545871</span></a><br><br>1. CLRS 綆楁硶瀵艱<br>綆楁硶鐧劇鍏ㄤ功錛屽彧鍋氫簡鍓嶉潰鍗佸嚑绔犵殑涔犻錛屼究鎰熻鍙楃泭鏃犵┓銆?br><br>2. Algorithms 綆楁硶姒傝<br>鐭皬綺炬?zhèn)嶅Q屽埆鎹竴鏍鹼紝鍑嗙粡鍏鎬箣浣溿備竴涓潖娑堟伅: 鍚岀畻娉曞璁猴紝璇ヤ功娌℃湁涔犻絳旀銆傚ソ娑堟伅錛氫範棰樺緢緇忓吀錛岄毦搴︿篃閫備腑錛屽彧闇鑺辯偣鐐規(guī)椂闂磋嚜宸變篃閮借兘鍋氬嚭鏉ャ備笉濂戒篃涓嶅潖鐨勬秷鎭細鎴戞鍦ㄥ啓涔犻鐨勭瓟妗堬紝宸插畬鎴愬墠涓夌珷錛岃繕鍓╀節(jié)绔犵害浜岀櫨閬撻錛岄『鍒╃殑璇濅簩涓湀涔嬪悗鍙戝竷銆傚彟鏈変腑鏂囩増鍚嶃婄畻娉曟璁恒嬶紝鎴戞病鐪嬭繃錛屼笉鐭ラ亾緲昏瘧寰楁庝箞鏍楓傚鏋滄湁蹇冪殑璇濓紝榪樻槸灝介噺鐪嬪師鐗堝惂錛屽叾瀹炵湅鍘熺増涓庣湅涓枃鐗堣姳璐規(guī)椂闂翠笉浼氱浉宸緢澶э紝鍥犱負澶ч儴鍒嗘椂闂村叾瀹為兘鑺辮垂鍦ㄥ仛涔犻涓婁簡銆?br><br>3. Algorithm Design 綆楁硶璁捐<br>寰堢粡鍏哥殑涓鏈功錛屽緢涔呬箣鍓嶇湅鐨勶紝閬楁喚鐨勬槸鐜板湪闄や簡灝辮寰楀畠寰堢粡鍏鎬箣澶栧叾瀹冮兘蹇樺厜浜嗐?br><br>4. SICP 璁$畻鏈虹▼搴忕殑鏋勯犲拰瑙i噴<br>鍏槦涔嬩功鏃犻渶澶氳█錛岃櫧鐒惰繖涓嶆槸涓鏈綆楁硶鐨勪功錛屼絾鐪嬪畬姝や功鏈夊姪浜庝綘鏇存繁鍏ョ殑鐞嗚В浠涔堟槸閫掑綊銆傛垜涓鐩村緢寮鴻皟涔犻錛岀湅瀹屾涔﹀悗浣犺嚦灝戝簲璇ュ仛瀹屽墠鍥涚珷鐨勫お閮ㄥ垎涔犻銆傚惁鍒欓偅鏄綘鐨勯仐鎲撅紝涔熸槸浣滆呯殑閬楁喚銆?br><br>5. Concrete Mathematics 鍏蜂綋鏁板 <br>鏈変漢璇寸湅TAOCP涔嬪墠搴旇鍏堝紕娓呮榪欐湰涔︾殑鍐呭錛岃鐪熸槸濡傛鐨勮瘽閭f垜鎭愭曟槸鐪嬩笉鍒癟AOCP浜嗐傞浂闆剁紕庣殑鐪嬩簡涓澶у崐錛屽緢澶氫笢瑗塊兘娌℃湁鏃墮棿鏉ュソ濂芥秷鍖栥傚鏋滀綘鏄垰榪涘ぇ瀛︿笉涔呯殑鏈鐢燂紝鏈夌潃澶ф妸鐨勫彲鑷敱鏀厤鏃墮棿錛岄偅浣犲垢榪愬張騫哥浜嗭紝鑺變笂鍑犱釜鏈堟椂闂村ソ濂界殑璇諱竴涓嬫涔﹀惂錛屾敹鑾風粷瀵瑰ぇ浜庝綘鐨勬湡鏈涘箋?br><br>6. Introduction to The Design and Analysis of Algorithms 綆楁硶璁捐涓庡垎鏋愬熀紜<br>寰堟湁瓚g殑涓鏈畻娉曚功錛屾湁璁稿鍦ㄥ埆鐨勪功涓婃壘涓嶅埌鐨勮叮棰橈紝鐪嬪畬姝や功緇濆鑳借浣犲ぇ寮鐪肩晫錛屽疄鍦ㄦ槸涓鏈眳瀹舵梾琛岋紝闈㈣瘯瑁呴肩殑蹇呭浣充綔銆?br><br>7. 緙栫▼涔嬬編--寰蔣鎶鏈潰璇曞績寰?nbsp;<br>铏借鏄竴鏈潰璇曚功錛屼絾濡傛灉鎶婂墠闈㈠崄鍑犻〉鎵帀鐨勮瘽錛屾垜鏇存効鎰忔妸瀹冪湅浣滄槸涓鏈瑙i鎬濈淮鐨勭畻娉曞皬鍝併傚湪涔︿腑錛屼綔鑰呴氬父鏄粰鍑轟竴涓鉤甯歌В娉曪紝鐒跺悗鍐嶄竴嬈″張涓嬈$殑浼樺寲鏀硅繘錛屼綘鍙互寰堟竻妤氱殑鐪嬪埌鍩烘湰鐨勭畻娉曡璁℃濇兂鏄浣曞緱鍒拌繍鐢ㄤ互瑙e喅瀹為檯闂鐨勩傚鏋滀綘宸茬粡鏈変簡涓浜涚畻娉曠殑鍩虹錛岀湅瀹屾湰涔﹀簲璇ヨ兘浣夸綘鐨勭畻娉曞簲鐢ㄨ兘鍔涘緱鍒頒竴瀹氱殑鎻愰珮銆傚彟澶栵紝鏈功鐢熷姩鏈夎叮錛屼篃鍚屾牱閫傚悎浜庡垵瀛﹁呫?br><br>8. Fundamentals of Algorithmics 綆楁硶鍩虹 <br>涔熸槸寰堜箙涔嬪墠鍦ㄥ鏍″浘涔﹂鍊熸潵鐪嬬殑錛屽唴瀹硅涓嶅お娓呮浜嗭紝鍙殣綰﹁寰楁涔︾殑鍔ㄦ佽鍒掔珷鑺傜姽涓哄嚭褰┿傚簲璇ユ槸寰堢粡鍏哥殑涓鏈功錛屼釜浜轟互涓鴻凍浠ュ拰綆楁硶瀵艱絳夋墍璋撳綋涓栫粡鍏稿鉤鍒嗙鑹詫紝浣嗘槸鎬庝箞濂藉儚琚漢鎻愬埌鐨勪笉澶氾紝鎴栬鏄垜瀛ら檵瀵¢椈浜嗐?br><br>9. How to solve it 鎬庢牱瑙i<br>浜屽崄涓栫邯鏈浼熷ぇ鐨勬暟瀛︽濇兂瀹朵箣涓娉㈠埄浜氱殑鍔涗綔錛岃涓鑸х殑瑙i鏂規(guī)硶錛氭庝箞璁よ瘑闂錛屾庝箞杞崲闂錛屾庝箞瑙e喅闂錛屽浣曞湪闂涓緱鍒板惎鍙戯紝濡備綍鎵懼埌涓涓氬線絳旀鐨勬柟鍚戙?br><br>10. Programming interviews exposed 紼嬪簭鍛橀潰璇曟敾鐣?br>涓鏈秷閬d箣浣溿備釜浜轟互涓鴻姣斿浗鍐呯殑鏌?#8220;XXX闈㈣瘯瀹濆吀”綰補涓浜涳紝鑷沖皯涔熸湁涓浜涘惎鍙戞х殑鍐呭錛岃屼笉鍗曞崟鏄潰璇曢瑙e簱銆?br><br>11. Programming Pearls 緙栫▼鐝犵帒<br>瀛︿範綆楁硶涓嶄粎闇瑕佸儚Alogrithms錛岀畻娉曞璁鴻繖鏍風殑閲嶉噺綰х殑鍐呭姛蹇冩硶錛屽儚銆婄紪紼嬩箣緹庛嬨併婄紪紼嬬彔鐜戙嬭繖鏍風殑杞婚噺綰х殑杞誨姛韜硶涔熷繀涓嶅彲灝戙傚墠浜涘勾緗戜笂涓嶆槸寰堟祦琛屽儚“緇欎綘10浜夸釜鏁幫紝鎵懼埌鏈澶х殑n涓?#8221;鎴栬?#8220;緇欎綘10浜夸釜鏁幫紝鎵懼嚭鐜版鏁版渶澶氱殑閭d釜鏁?#8221;涔嬬被鐨勭櫨搴﹂潰璇曢鍚楋紵鐪嬩簡姝や功浣犲氨鐭ラ亾鎬庝箞瑙e喅浜嗐傜浉姣斾簬銆婄紪紼嬩箣緹庛嬫潵璇達紝鏈功涓殑紺轟緥鎶宸фх暐浣庝竴浜涳紝浣嗘槸涔熸洿鏈夊疄闄呭簲鐢ㄤ環(huán)鍊間竴浜涖?br><br>12. 綆楁硶鑹烘湳涓庝俊鎭绔炶禌 <br>濡傛灉綆楁硶瀵艱鏄節(jié)闃崇鍔燂紝閭h繖鏈棤鐤戝氨鏄節(jié)闃寸湡緇忋傛湰涔︽槸涓撲負鍙傚姞涓浜涜濡侫CM涔嬬被紼嬪簭璁捐姣旇禌鐨勫悓瀛﹁屽啓鐨勶紝姹熸箹浜虹О“榛戜功”銆傞噷闈㈣鐨勯兘鏄竴浜涘湪緙栫▼姣旇禌涓父鐢ㄧ殑綆楁硶銆佹暟鎹粨鏋勶紝浠ュ強涓浜涙暟璁哄拰璁$畻鍑犱綍絳夈傛垜铏界劧騫朵笉鎼炵珵璧涳紝浣嗕篃浠庢涔︿腑鍙楃泭棰囧銆?br><br>13. An Introduction to Probability Theory and Its Applications<br>鍑嗗鐪嬬殑錛岀幇鍦ㄦ墠鍙戠幇姒傜巼璁烘湁澶氫箞閲嶈錛屽彲鎯滄湰縐戠殑鏃跺欐病鏈夊ソ濂藉銆傚墠涓嶄箙涓涓悓瀛﹂棶鎴戜釜闂錛屾垜鍗婂ぉ寮勪簡涓涓▼搴忕粰浠栵紝浠栬錛氳繖閲屽氨涓嶆槸鐩稿叧緋繪暟涔堬紝Excel涓涓嬪氨瀹屼簨錛佹垜鏅曪紝鎴戣繕鐪熶笉鐭ラ亾閭e氨鏄浉鍏崇郴鏁般?br><br>14. Numerical Analysis<br>榪欐湰鐨勪綔鑰呮槸Richard L. Burden,J. Douglas Faires <br>鏁板煎垎鏋愶紝璁ㄨ鍚勭鏁板肩畻娉曪紝姣斿鎻掑箋佹嫙鍚堛佺Н鍒嗐佸井鍒嗘柟紼嬬殑姹傝В銆佺嚎鎬у拰闈炵嚎鎬ф柟紼嬬粍姹傝В絳夈傚噯澶囪緇嗙湅銆?br><br>15. TAOCP 璁$畻鏈虹▼搴忚璁¤壓鏈?br>浼犺涓殑TAOCP錛岃鐨勪漢澶氾紝鐪嬬殑浜哄皯銆俆AOCP鍥涘嵎鍫О鏄畻娉曡棌緇忛榿涓殑鏄撶瓔緇忔垨鑰呮槸灝戞灄涓冨崄浜岀粷鎶銆傚ぉ涓嬫瀛︼紝灝藉嚭灝戞灄錛屽ぉ涓嬬畻娉曪紝灝藉嚭TAOCP涔熴傝繖鐐逛綘鍙互欏轟究緲誨紑涓鏈畻娉曚功鐪嬬湅浠栫殑寮曠敤鏂囩尞灝辯煡閬撲簡銆傛垜鍙浜嗙鍥涘嵎鐨勯儴鍒嗙珷鑺傦紝鍓嶄笁鍗鋒殏鏃惰繕娌℃暍鐪嬶紝榪樺湪璇諱功璁″垝琛ㄤ腑琚棤闄愭湡鎼佺疆銆? <img src ="http://www.shnenglu.com/zzfmars/aggbug/124058.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.shnenglu.com/zzfmars/" target="_blank">Kevin_Zhang</a> 2010-08-20 09:26 <a href="http://www.shnenglu.com/zzfmars/archive/2010/08/20/124058.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>ACMer搴斿叿澶囩殑鑳藉姏http://www.shnenglu.com/zzfmars/archive/2010/08/10/122910.htmlKevin_ZhangKevin_ZhangTue, 10 Aug 2010 03:25:00 GMThttp://www.shnenglu.com/zzfmars/archive/2010/08/10/122910.htmlhttp://www.shnenglu.com/zzfmars/comments/122910.htmlhttp://www.shnenglu.com/zzfmars/archive/2010/08/10/122910.html#Feedback0http://www.shnenglu.com/zzfmars/comments/commentRss/122910.htmlhttp://www.shnenglu.com/zzfmars/services/trackbacks/122910.html1錛夐槄璇昏兘鍔涖傞鍏堣榪囪嫳璇叧錛屼粠澶ч噺淇℃伅涓彁鍙栧叧閿俊鎭紝澶氶槄璇繪彁楂橀槄璇昏兘鍔涳紝闃呰鑻辨枃棰樼洰鎴栬呰嫳鏂囪鏂囥?br>2錛夊垎鏋愰棶棰樼殑鑳藉姏銆傚湪絎竴姝ユ彁鍙栫殑鍏抽敭淇℃伅鐨勫熀紜涓婏紝鍒嗘瀽闂鐨勫睘鎬э紝涓庡凡鏈夋ā鍨嬭繘琛屽尮閰嶏紝瀵繪壘紿佺牬鐐廣?br>3錛夎璁$畻娉曪紝綆楁硶浼樺寲錛岃綆楀鏉傚害錛岄夋嫨絎﹀悎瑕佹眰鐨勭殑綆楁硶銆傜‘瀹氱畻娉曞悗錛屽畾涔夊彉閲忓啓鍑鴻緇嗙殑綆楁硶鎻忚堪錛屼負涓嬩竴姝ヤ唬鐮佸疄鐜板瀹氬熀紜銆?br>4錛夌▼搴忓疄鐜拌兘鍔涖傝璁$▼搴忓疄鐜版柟娉曪紝紼嬪簭瀹炵幇銆?br>5錛夌▼搴忚皟璇曡兘鍔涖傝皟璇曠洿鍒扮▼搴忓畬鍏ㄦ紜?















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pku1004http://www.shnenglu.com/zzfmars/archive/2010/08/09/122829.htmlKevin_ZhangKevin_ZhangMon, 09 Aug 2010 11:55:00 GMThttp://www.shnenglu.com/zzfmars/archive/2010/08/09/122829.htmlhttp://www.shnenglu.com/zzfmars/comments/122829.htmlhttp://www.shnenglu.com/zzfmars/archive/2010/08/09/122829.html#Feedback0http://www.shnenglu.com/zzfmars/comments/commentRss/122829.htmlhttp://www.shnenglu.com/zzfmars/services/trackbacks/122829.html#include<iostream>
#include
<stdio.h>
using namespace std;

float a,sum=0;
int b;
int main()
{for(int i=0;i<12;i++)
  
{
      cin
>>a;
      sum
+=a;

  }
  
a
=sum/12;
b
=(int)(100*a+0.5);
a
=(float)b/100;
printf(
"$%.2lf\n",a);
return 0;

}


]]>
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