锘??xml version="1.0" encoding="utf-8" standalone="yes"?> 甯屽皵鎺掑簭(shellsort)鍙堝彨澧為噺閫掑噺(diminishing increment)鎺掑簭錛屾槸鐢?/font>D.L. Shell鍙戞槑鐨勶紝榪欎釜綆楁硶鏄氳繃涓涓愭笎鍑忓皬鐨勫閲忎嬌涓涓暟緇勯愭笎瓚嬭繎浜庢湁搴忎粠鑰岃揪鍒版帓搴忕殑鐩殑錛岃綆楁硶鐢?/font>1959騫村叕甯冦?/font> 鏈宸椂闂村鏉傚害錛氭牴鎹闀垮簭鍒楃殑涓嶅悓鑰屼笉鍚屻?/font>宸茬煡鏈濂界殑: O(nlog2n) 鏈浼樻椂闂村鏉傚害錛?/font>O(n) 騫沖潎鏃墮棿澶嶆潅搴︼細(xì)鏍規(guī)嵁姝ラ暱搴忓垪鐨勪笉鍚岃屼笉鍚屻?/font> 鍘熷鐨勭畻娉曞疄鐜板湪鏈鍧忕殑鎯呭喌涓嬮渶瑕佽繘琛?/font>O(n2)鐨勬瘮杈冨拰浜ゆ崲銆?/font>V. Pratt鐨勪功[1] 瀵圭畻娉曡繘琛屼簡灝戦噺淇敼錛屽彲浠ヤ嬌寰楁ц兘鎻愬崌鑷?/font>O(n log2 n)銆傝繖姣旀渶濂界殑姣旇緝綆楁硶鐨?/font>O(n log n)瑕佸樊涓浜涖?/font> 甯屽皵鎺掑簭閫氳繃灝嗘瘮杈冪殑鍏ㄩ儴鍏冪礌鍒嗕負(fù)鍑犱釜鍖哄煙鏉ユ彁鍗囨彃鍏ユ帓搴忕殑鎬ц兘銆傝繖鏍峰彲浠ヨ涓涓厓绱犲彲浠ヤ竴嬈℃у湴鏈濇渶緇堜綅緗墠榪涗竴澶ф銆傜劧鍚庣畻娉曞啀鍙栬秺鏉ヨ秺澶х殑姝ラ暱榪涜鎺掑簭錛岀畻娉曠殑鏈鍚庝竴姝ュ氨鏄櫘閫氱殑鎻掑叆鎺掑簭錛屼絾鏄埌浜嗚繖姝ワ紝闇鎺掑簭鐨勬暟鎹嚑涔庢槸宸叉帓濂界殑浜嗭紙姝ゆ椂鎻掑叆鎺掑簭杈冨揩錛夈?/font> 鍋囪鏈変竴涓緢灝忕殑鏁版嵁鍦ㄤ竴涓凡鎸夊崌搴忔帓濂藉簭鐨勬暟緇勭殑鏈銆傚鏋滅敤澶嶆潅搴︿負(fù)O(n2)鐨勬帓搴忥紙鍐掓場鎺掑簭鎴栨彃鍏ユ帓搴忥級錛屽彲鑳戒細(xì)榪涜n嬈$殑姣旇緝鍜屼氦鎹㈡墠鑳藉皢璇ユ暟鎹Щ鑷蟲紜綅緗傝屽笇灝?dāng)鎺掑簭浼?xì)鐢ㄨ緝澶х殑姝ラ暱縐誨姩鏁版嵁錛屾墍浠ュ皬鏁版嵁鍙渶榪涜灝戞暟姣旇緝鍜屼氦鎹㈠嵆鍙埌姝g‘浣嶇疆銆?/font> 涓涓洿濂界悊瑙g殑甯屽皵鎺掑簭瀹炵幇錛氬皢鏁扮粍鍒楀湪涓涓〃涓茍瀵瑰垪鎺掑簭錛堢敤鎻掑叆鎺掑簭錛夈傞噸澶嶈繖榪囩▼錛屼笉榪囨瘡嬈$敤鏇撮暱鐨勫垪鏉ヨ繘琛屻傛渶鍚庢暣涓〃灝卞彧鏈変竴鍒椾簡銆傚皢鏁扮粍杞崲鑷寵〃鏄負(fù)浜嗘洿濂藉湴鐞嗚В榪欑畻娉曪紝綆楁硶鏈韓浠呬粎瀵瑰師鏁扮粍榪涜鎺掑簭錛堥氳繃澧炲姞绱㈠紩鐨勬闀匡紝渚嬪鏄敤i += step_size鑰屼笉鏄?/font>i++錛夈?/font> 渚嬪錛屽亣璁炬湁榪欐牱涓緇勬暟[ 13 14 94 33 82 25 59 94 65 23 45 27 73 25 39 10 ]錛屽鏋滄垜浠互姝ラ暱涓?/font>5寮濮嬭繘琛屾帓搴忥紝鎴戜滑鍙互閫氳繃灝嗚繖鍒楄〃鏀懼湪鏈?/font>5琛岀殑琛ㄤ腑鏉ユ洿濂藉湴鎻忚堪綆楁硶錛岃繖鏍蜂粬浠氨搴旇鐪嬭搗鏉ユ槸榪欐牱錛?/font> 13 14 94 33 82 25 59 94 65 23 45 27 73 25 39 10 鐒跺悗鎴戜滑瀵規(guī)瘡琛岃繘琛屾帓搴忥細(xì) 10 14 73 25 23 13 27 94 33 39 25 59 94 65 82 45 褰撴垜浠互鍗曡鏉ヨ鍙栨暟鎹椂鎴戜滑寰楀埌錛?/font>[ 10 14 73 25 23 13 27 94 33 39 25 59 94 65 82 45 ].榪欐椂10宸茬粡縐昏嚦姝g‘浣嶇疆浜嗭紝鐒跺悗鍐嶄互3涓烘闀胯繘琛屾帓搴忥細(xì) 10 14 73 25 23 13 27 94 33 39 25 59 94 65 82 45 鎺掑簭涔嬪悗鍙樹負(fù)錛?/font> 10 14 13 25 23 33 27 25 59 39 65 73 45 94 82 94 鏈鍚庝互1姝ラ暱榪涜鎺掑簭錛堟鏃跺氨鏄畝鍗曠殑鎻掑叆鎺掑簭浜嗭級銆?/font> 姝ラ暱鐨勯夋嫨鏄笇灝?dāng)鎺掑簭鐨勯噸瑕侀儴鍒嗐傚彧瑕佹渶緇堟闀夸負(fù)1浠諱綍姝ラ暱搴忓垪閮藉彲浠ュ伐浣溿傜畻娉曟渶寮濮嬩互涓瀹氱殑姝ラ暱榪涜鎺掑簭銆傜劧鍚庝細(xì)緇х畫浠ヤ竴瀹氭闀胯繘琛屾帓搴忥紝鏈緇堢畻娉曚互姝ラ暱涓?/font>1榪涜鎺掑簭銆傚綋姝ラ暱涓?/font>1鏃訛紝綆楁硶鍙樹負(fù)鎻掑叆鎺掑簭錛岃繖灝變繚璇佷簡鏁版嵁涓瀹氫細(xì)琚帓搴忋?/font> 綆楁硶濡備笅 #include <stdio.h> void output_array(int data[], int n) { } void swap(int *a, int *b) { } void insertion_sort(int data[], int n, int increment) { } void shellsort(int data[], int n) { } int main() { } 鎻掑叆鎺掑簭 瀵瑰熀鏈湁搴忕殑鏁扮粍鏁堟灉闈炲父濂斤紝浣嗘槸瀵逛簬閫氬父鎯呭喌鍒欒〃鐜頒竴鑸傚亣璁炬渶灝忕殑鏁板瓧鍦ㄦ渶鍙寵竟錛屽崌搴忔帓搴忔椂錛岃繖涓暟鍒欒緇忚繃n嬈′氦鎹㈡瘮杈冩崲鍒版渶宸﹁竟銆傚笇灝?dāng)鎺掑簭鍒欐槸瀵规彃鍏ユ帓搴忕殑寰堝ソ鐨勪慨姝c傝屼笖鍦ㄥ笇灝?dāng)鎺掑簭寰垶畱鍑虹幇鏈鍧忕姸鍐點(diǎn)?/p>
甯屽皵鎺掑簭閫氳繃瀵規(guī)暟緇?浠ヤ竴瀹氶棿闅旂浉闅旂殑浣嶇疆 榪涜鎻掑叆鎺掑簭錛屼互杈懼埌璁╂暟鎹揩閫熷嚭鐜板湪瀹冨簲璇ュ嚭鐜扮殑浣嶇疆鐨勫懆鍥達(dá)紝浣挎暟緇勯愭鎺ヨ繎鍩烘湰鏈夊簭銆傞殢鐫闂撮殧鐨勫噺灝戯紝鏁扮粍瓚婃潵瓚婃帴榪戝熀鏈湁搴忥紝鏈鍚庨棿闅斾負(fù)1鏃訛紝鍙樻垚鏍囧噯鐨勬彃鍏ユ帓搴忋?/p>
鏁版嵁鐨勯棿闅旀湁澶氱綆楁硶錛屼竴鑸姹傞棿闅斿簭鍒椾箣闂翠簰璐紝姝ゅ浣跨敤Kunth搴忓垪錛歨 = h * 3 + 1 甯屽皵鎺掑簭鐨勬椂闂存晥鐜囧緢闅句粠鐞嗚涓婅瘉鏄庯紝瀹為獙琛ㄦ槑澶х害鏄疧(n^(3/2)) ~ O(n^(7/6))涔嬮棿銆?/p>
浠g爜濡備笅錛?/p>
鍦ㄦ垜浠紪紼嬬殑涓栫晫閲屾暟鎹殑鍩烘湰緇勭粐鍙互璇存湁涓夌褰㈠紡銆?/p>
鍏朵粬浠諱綍鐨勬暟鎹粍緇囧艦寮忛兘鍙互鐪嬩綔鏄繖涓夌鏁版嵁緇勭粐褰㈠紡鐨勭粍鍚堝彉浣撱?br> 鏁扮粍涓鑸槸涓緇勫悓綾誨瀷鐨勫彉閲忕殑闆嗗悎錛屽湪鍐呭瓨涓〃鐜頒負(fù)涓鐗囪繛緇殑絀洪棿錛屽洜涓虹┖闂存槸榪炵畫鐨勶紝涓旀瘡涓涓暟鎹崟鍏冨崰鐨勫唴瀛樼┖闂寸殑澶у皬鏄浉絳夌殑錛屾墍浠ュ彲浠ユ牴鎹湴鍧鐨勫亸縐誨鏁版嵁鍏冪礌瀹炵幇蹇熻闂紝浣嗘槸褰撻渶瑕佹彃鍏ユ垨鑰呭垹闄や竴涓厓绱犵殑鏃跺欙紝鍒欓渶瑕佸鐩爣鍏冪礌鐨勪箣鍚庣殑鎵鏈夊厓绱犺繘琛岀Щ鍔ㄤ簡銆?/p>
閾捐〃鐨勫崟涓妭鐐逛竴鑸負(fù)緇撴瀯浣撴垨鑰呭璞★紝鍥犱負(fù)閾捐〃鐨勫崟涓妭鐐歸櫎浜嗛渶瑕佷繚瀛樻暟鎹箣澶栬繕闇瑕佺淮鎶ゅ畠鐨勭浉閭昏妭鐐圭殑鍏崇郴錛屽鏋滄兂鑾峰緱閾捐〃涓殑鏌愪釜鑺傜偣鐨勫鹼紝闇瑕佷粠閾捐〃鐨勫ご緇撶偣寮濮嬮亶鍘嗭紝鐩村埌鎵懼埌闇瑕佺殑涓滆タ錛岃屾彃鍏ユ垨鑰呭垹闄ゆ煇涓妭鐐圭殑璇濓紝闇瑕佹壘鍒扮浉搴旂殑鑺傜偣錛屼慨鏀瑰叾浠ュ強(qiáng)鍏剁浉閭昏妭鐐圭殑鐩稿叧鎸囬拡鐨勫紩鐢ㄥ嵆鍙?/p>
鍍忓叾浠栫殑鏁版嵁緇撴瀯錛屾瘮濡?闃熷垪錛屾爤錛屾爲(wèi)錛岄兘鍙互閫氳繃鏁扮粍鎴栬呴摼琛ㄦ潵緇勭粐錛屽茍瀹炵幇鐩稿簲鐨勬搷浣滃姛鑳姐?/p>
榪欎釜涓栫晫涓婃病鏈夊崄鍏ㄥ崄緹庣殑涓滆タ錛屾墍浠ユ垜浠瀛︿細(xì)鍙栬垗銆備換浣曟妧鏈殑瀹炵幇閮芥病鏈夋渶濂界殑鍙鏈鍚堥傜殑錛屼篃灝辮瀹炵幇鐨勬渶浣蟲柟妗堟槸鍜屽簲鐢ㄥ満鏅伅鎭浉鍏崇殑銆?br>寰堝鏃跺欙紝鎴戜滑鎯沖鏁版嵁榪涜蹇熺殑瀛樺彇錛堟瘮濡傜紦瀛樼殑瀹炵幇錛夛紝騫剁敤涓涓猭ey鏉ユ爣璁拌嚜宸卞瓨鍙栫殑鏁版嵁銆傛垜浠彲浠ユ妸瀹冨彨鍋歬ey-value鐨勭粨鏋勩?br>璇村埌“蹇?#8221;鎴戜滑寰堝揩鎯沖埌鏁扮粍錛屽洜涓烘暟緇勫彲浠ュ湪O(1)鐨勬椂闂村鏉傚唴瀹屾垚鎸囧畾浣嶇疆鍏冪礌鐨勮鍐欐搷浣溿?br>鎵浠ュ湪鐞嗘兂鐘舵侊紝濡傛灉涓涓暟緇勮凍澶熼暱錛屼笖瀛樺湪涓涓嚱鏁板彲浠ュ皢姣忎竴涓猭ey鏄犲皠鍒板敮涓鐨勪竴涓暟緇勪笅鏍囷紝閭d箞鎴戜滑灝卞彲浠ュ緢瀹岀編鐨勮В鍐抽棶棰樸備絾寰寰璧勬簮閮芥槸鏈夐檺鐨勶紝鎴戜滑娌℃湁閭d箞澶х殑絀洪棿錛屼篃涓嶈兘璁捐涓涓棤姣旇礋璐g殑鏄犲皠綆楁硶淇濊瘉姣忎竴涓猭ey瀵瑰簲鍒頒竴涓敮涓鐨勬暟緇勪笅鏍囥傛墍浠ユ垜浠細(xì)閫夋嫨涓浜涙姌涓殑鏂規(guī)銆?/p>
hash table渚挎槸涓鴻В鍐寵繖綾婚棶棰樿屽瓨鍦ㄧ殑銆?/p>
Hash鎴栬呬綘鍙互緲昏瘧鎴愭暎鍒楁垨鑰呮潅鍑戯紝hash鎿嶄綔鍏舵湰璐ㄤ笂灝辨槸灝嗕竴涓暟鎹槧灝勬垚鍙︿竴涓暟鎹紝閫氬父鎯呭喌涓嬪師鏁版嵁鐨勯暱搴︽瘮hash鍚庣殑鏁版嵁瀹歸噺澶с?br>榪欑鏄犲皠鐨勫叧緋繪垜浠彨鍋氬搱甯屽嚱鏁般?br> 鍝堝笇琛ㄦ槸涓縐嶆暟鎹粨鏋勶紝瀹炵幇key-value鐨勫揩閫熷瓨鍙栥備箣鍓嶈榪囨暟緇勫彲浠ュ疄鐜板揩閫熷瓨鍙栵紝鎵浠ュ搱甯岃〃鑲畾浼?xì)鋴社敤鍒版暟缁勩傚湪榪欓噷錛屾垜浠妸姣忎竴涓暟緇勭殑鍗曞厓鍙仛涓涓猙ucket錛堟《錛夈?/p>
榪欓噷鍝堝笇鍑芥暟鐨勪綔鐢ㄥ氨鏄皢key鏄犲皠鍒頒竴涓瓨鍌ㄥ湴鍧銆傛墍浠ユ瀯閫犱竴涓搱甯岃〃鎴戜滑寰楀厛鏋勯犲搱甯屽嚱鏁般?br>濡傛灉涓涓猭ey鍝堝笇鍚庡搴斿湴鍧涓凡緇忓瓨鏀句簡鍊間簡錛岃繖縐嶆儏鍐墊垜浠彨鍋氬搱甯屽啿紿侊紙Hash collisions錛夈?br>濡傛灉瀛樺湪涓涓搱甯屽嚱鏁幫紝浣垮緱姣忎竴涓緭鍏ラ兘鑳藉搴斿埌鍞竴鐨勪竴涓瓨鍌ㄥ崟鍏冧腑錛堟病鏈夊啿紿侊級錛岄偅涔堣繖鏍風(fēng)殑鍝堝笇鍑芥暟鎴戜滑鍙互鍙畠瀹岀編鍝堝笇鍑芥暟錛圥erfect Hash Function錛岀畝縐癙HF)銆?br>浣嗕負(fù)浜嗗搱甯屽嚱鏁扮畝鍗曪紝榪愯閫熷害蹇紝寰寰涓嶄細(xì)浣跨敤瀹岀編鍝堝笇鍑芥暟銆傛墍浠ュ啿紿佽偗瀹氫細(xì)瀛樺湪鐨勶紝涓轟簡鍑忓皯鍐茬獊錛屾垜浠笇鏈涘搱甯屽嚱鏁扮殑緇撴灉鍧囧寑鐨勫垎甯冨湪鍦板潃鍗曞厓鐨勭┖闂翠腑銆傝繖鏍峰彲浠ユ湁鏁堢殑鍑忓皯鍐茬獊銆?br> 鏃㈢劧鍐茬獊涓嶅彲閬垮厤錛岄偅涔堟垜浠氨蹇呴』瀵瑰啿紿佽繘琛岃В鍐?鎬諱笉鑳芥妸涔嬪墠鐨勫唴瀹硅鐩栨帀鎶?, 涓庡紑鏀懼畾鍧娉曠浉姣旓紝閾炬帴娉曟湁濡備笅鍑犱釜浼樼偣錛?br>鈶犻摼鎺ユ硶澶勭悊鍐茬獊綆鍗曪紝涓旀棤鍫嗙Н鐜拌薄錛屽嵆闈炲悓涔夎瘝鍐充笉浼?xì)鍙戠敓鍐步H侊紝鍥犳騫沖潎鏌ユ壘闀垮害杈冪煭錛?br>鈶$敱浜庨摼鎺ユ硶涓悇閾捐〃涓婄殑緇撶偣絀洪棿鏄姩鎬佺敵璇風(fēng)殑錛屾晠瀹冩洿閫傚悎浜庨犺〃鍓嶆棤娉曠‘瀹氳〃闀跨殑鎯呭喌錛?br>鈶㈠紑鏀懼畾鍧娉曚負(fù)鍑忓皯鍐茬獊錛岃姹傝濉洜瀛?#945;杈冨皬錛屾晠褰撶粨鐐硅妯¤緝澶ф椂浼?xì)娴垂寰堝绌洪棿銆傝岄摼鎺ユ硶涓彲鍙?#945;≥1錛屼笖緇撶偣杈冨ぇ鏃訛紝鎷夐摼娉曚腑澧炲姞鐨勬寚閽堝煙鍙拷鐣ヤ笉璁★紝鍥犳鑺傜渷絀洪棿錛?br>鈶e湪鐢ㄩ摼鎺ユ硶鏋勯犵殑鏁e垪琛ㄤ腑錛屽垹闄ょ粨鐐圭殑鎿嶄綔鏄撲簬瀹炵幇銆傚彧瑕佺畝鍗曞湴鍒犲幓閾捐〃涓婄浉搴旂殑緇撶偣鍗沖彲銆傝屽寮鏀懼湴鍧娉曟瀯閫犵殑鏁e垪琛紝鍒犻櫎緇撶偣涓嶈兘綆鍗曞湴灝嗚鍒犵粨鐐圭殑絀洪棿緗負(fù)絀猴紝鍚﹀垯灝嗘埅鏂湪瀹冧箣鍚庡~浜烘暎鍒楄〃鐨勫悓涔夎瘝緇撶偣鐨勬煡鎵捐礬寰勩傝繖鏄洜涓哄悇縐嶅紑鏀懼湴鍧娉曚腑錛岀┖鍦板潃鍗曞厓(鍗沖紑鏀懼湴鍧)閮芥槸鏌ユ壘澶辮觸鐨勬潯浠躲傚洜姝ゅ湪 鐢ㄥ紑鏀懼湴鍧娉曞鐞嗗啿紿佺殑鏁e垪琛ㄤ笂鎵ц鍒犻櫎鎿嶄綔錛屽彧鑳藉湪琚垹緇撶偣涓婂仛鍒犻櫎鏍囪錛岃屼笉鑳界湡姝e垹闄ょ粨鐐廣?/p>
褰撶劧閾炬帴娉曚篃鏈夊叾緙虹偣錛屾媺閾炬硶鐨勭己鐐規(guī)槸錛氭寚閽堥渶瑕侀澶栫殑絀洪棿錛屾晠褰撶粨鐐硅妯¤緝?yōu)畯鏃跺Q屽紑鏀懼畾鍧娉曡緝涓鴻妭鐪佺┖闂達(dá)紝鑰岃嫢灝嗚妭鐪佺殑鎸囬拡絀洪棿鐢ㄦ潵鎵╁ぇ鏁e垪琛ㄧ殑瑙勬ā錛屽彲浣胯濉洜瀛愬彉灝忥紝榪欏張鍑忓皯浜嗗紑鏀懼畾鍧娉曚腑鐨勫啿紿侊紝浠庤屾彁楂樺鉤鍧囨煡鎵鵑熷害銆?/p>
銆蹇熸帓搴忔槸C.R.A.Hoare浜?962騫存彁鍑虹殑涓縐嶅垝鍒嗕氦鎹㈡帓搴忋傚畠閲囩敤浜嗕竴縐嶅垎娌葷殑絳栫暐錛岄氬父縐板叾涓哄垎娌繪硶(Divide-and-ConquerMethod)銆?
銆鍒嗘不娉曠殑鍩烘湰鎬濇兂鏄細(xì)灝嗗師闂鍒嗚В涓鴻嫢騫蹭釜瑙勬ā鏇村皬浣嗙粨鏋勪笌鍘熼棶棰樼浉浼肩殑瀛愰棶棰樸傞掑綊鍦拌В榪欎簺瀛愰棶棰橈紝鐒跺悗灝嗚繖浜涘瓙闂鐨勮В緇勫悎涓哄師闂鐨勮В銆?
銆璁懼綋鍓嶅緟鎺掑簭鐨勬棤搴忓尯涓篟[low..high]錛屽埄鐢ㄥ垎娌繪硶鍙皢蹇熸帓搴忕殑鍩烘湰鎬濇兂鎻忚堪涓猴細(xì)
鈶犲垎瑙o細(xì)
銆鍦≧[low..high]涓換閫変竴涓褰曚綔涓哄熀鍑?Pivot)錛屼互姝ゅ熀鍑嗗皢褰撳墠鏃犲簭鍖哄垝鍒嗕負(fù)宸︺佸彸涓や釜杈冨皬鐨勫瓙鍖洪棿R[low..pivotpos-1)鍜孯[pivotpos+1..high]錛屽茍浣垮乏杈瑰瓙鍖洪棿涓墍鏈夎褰曠殑鍏抽敭瀛楀潎灝忎簬絳変簬鍩哄噯璁板綍(涓嶅Θ璁頒負(fù)pivot)鐨勫叧閿瓧pivot.key錛屽彸杈圭殑瀛愬尯闂翠腑鎵鏈夎褰曠殑鍏抽敭瀛楀潎澶т簬絳変簬pivot.key錛岃屽熀鍑嗚褰昿ivot鍒欎綅浜庢紜殑浣嶇疆(pivotpos)涓婏紝瀹冩棤欏誨弬鍔犲悗緇殑鎺掑簭銆?
娉ㄦ剰錛?
銆鍒掑垎鐨勫叧閿槸瑕佹眰鍑哄熀鍑嗚褰曟墍鍦ㄧ殑浣嶇疆pivotpos銆傚垝鍒嗙殑緇撴灉鍙互綆鍗曞湴琛ㄧず涓?娉ㄦ剰pivot=R[pivotpos])錛?
銆R[low..pivotpos-1].keys≤R[pivotpos].key≤R[pivotpos+1..high].keys
鍏朵腑low≤pivotpos≤high銆?
鈶℃眰瑙o細(xì)
銆 閫氳繃閫掑綊璋冪敤蹇熸帓搴忓宸︺佸彸瀛愬尯闂碦[low..pivotpos-1]鍜孯[pivotpos+1..high]蹇熸帓搴忋?
鈶㈢粍鍚堬細(xì)
銆鍥犱負(fù)褰?"姹傝В "姝ラ涓殑涓や釜閫掑綊璋冪敤緇撴潫鏃訛紝鍏跺乏銆佸彸涓や釜瀛愬尯闂村凡鏈夊簭銆傚蹇熸帓搴忚岃█錛?"緇勫悎 "姝ラ鏃犻』鍋氫粈涔堬紝鍙湅浣滄槸絀烘搷浣溿?
void QuickSort(SeqList R錛宨nt low錛宨nt high)
{ //瀵筊[low..high]蹇熸帓搴?
int pivotpos錛?nbsp; //鍒掑垎鍚庣殑鍩哄噯璁板綍鐨勪綅緗?
if(low <high){//浠呭綋鍖洪棿闀垮害澶т簬1鏃舵墠欏繪帓搴?
pivotpos=Partition(R錛宭ow錛宧igh)錛?nbsp; //瀵筊[low..high]鍋氬垝鍒?
QuickSort(R錛宭ow錛宲ivotpos-1)錛?nbsp; //瀵瑰乏鍖洪棿閫掑綊鎺掑簭
QuickSort(R錛宲ivotpos+1錛宧igh)錛?nbsp; //瀵瑰彸鍖洪棿閫掑綊鎺掑簭
}
} //QuickSort
銆涓烘帓搴忔暣涓枃浠訛紝鍙』璋冪敤QuickSort(R錛?錛宯)鍗沖彲瀹屾垚瀵筊[l..n]鐨勬帓搴忋?nbsp;
涓婁竴欏?nbsp; 涓嬩竴欏?nbsp;
錛?錛?nbsp; 綆鍗曠殑鍒掑垎鏂規(guī)硶
鈶?nbsp; 鍏蜂綋鍋氭硶
銆銆絎竴姝ワ細(xì)(鍒濆鍖?璁劇疆涓や釜鎸囬拡i鍜宩錛屽畠浠殑鍒濆煎垎鍒負(fù)鍖洪棿鐨勪笅鐣屽拰涓婄晫錛屽嵆i=low錛宨=high錛涢夊彇鏃犲簭鍖虹殑絎竴涓褰昍[i](鍗砇[low])浣滀負(fù)鍩哄噯璁板綍錛屽茍灝嗗畠淇濆瓨鍦ㄥ彉閲弍ivot涓紱
銆銆絎簩姝ワ細(xì)浠鑷猦igh璧峰悜宸︽壂鎻忥紝鐩村埌鎵懼埌絎?涓叧閿瓧灝忎簬pivot.key鐨勮褰昍[j]錛屽皢R[j])縐昏嚦i鎵鎸囩殑浣嶇疆涓婏紝榪欑浉褰撲簬R[j]鍜屽熀鍑哛[i](鍗硃ivot)榪涜浜嗕氦鎹紝浣垮叧閿瓧灝忎簬鍩哄噯鍏抽敭瀛梡ivot.key鐨勮褰曠Щ鍒頒簡鍩哄噯鐨勫乏杈癸紝浜ゆ崲鍚嶳[j]涓浉褰撲簬鏄痯ivot錛涚劧鍚庯紝浠鎸囬拡鑷猧+1浣嶇疆寮濮嬪悜鍙蟲壂鎻忥紝鐩磋嚦鎵懼埌絎?涓叧閿瓧澶т簬pivot.key鐨勮褰昍[i]錛屽皢R[i]縐誨埌i鎵鎸囩殑浣嶇疆涓婏紝榪欑浉褰撲簬浜ゆ崲浜哛[i]鍜屽熀鍑哛[j]錛屼嬌鍏抽敭瀛楀ぇ浜庡熀鍑嗗叧閿瓧鐨勮褰曠Щ鍒頒簡鍩哄噯鐨勫彸杈癸紝浜ゆ崲鍚嶳[i]涓張鐩稿綋浜庡瓨鏀句簡pivot錛涙帴鐫浠ゆ寚閽坖鑷綅緗甹-1寮濮嬪悜宸︽壂鎻忥紝濡傛浜ゆ浛鏀瑰彉鎵弿鏂瑰悜錛屼粠涓ょ鍚勮嚜寰涓棿闈犳嫝錛岀洿鑷砳=j鏃訛紝i渚挎槸鍩哄噯pivot鏈緇堢殑浣嶇疆錛屽皢pivot鏀懼湪姝や綅緗笂灝卞畬鎴愪簡涓嬈″垝鍒嗐?
銆涓嬈″垝鍒嗚繃紼嬩腑錛屽叿浣撳彉鍖栨儏鍐點(diǎn)愬弬瑙佸姩鐢繪紨紺恒?nbsp;
int Partition(SeqList R錛宨nt i錛宨nt j)
{//璋冪敤Partition(R錛宭ow錛宧igh)鏃訛紝瀵筊[low..high]鍋氬垝鍒嗭紝
//騫惰繑鍥炲熀鍑嗚褰曠殑浣嶇疆
ReceType pivot=R[i]錛?nbsp; //鐢ㄥ尯闂寸殑絎?涓褰曚綔涓哄熀鍑?nbsp; '
while(i <j){ //浠庡尯闂翠袱绔氦鏇垮悜涓棿鎵弿錛岀洿鑷砳=j涓烘
while(i <j&&R[j].key> =pivot.key) //pivot鐩稿綋浜庡湪浣嶇疆i涓?
j--錛?nbsp; //浠庡彸鍚戝乏鎵弿錛屾煡鎵劇1涓叧閿瓧灝忎簬pivot.key鐨勮褰昍[j]
if(i <j) //琛ㄧず鎵懼埌鐨凴[j]鐨勫叧閿瓧 <pivot.key
R[i++]=R[j]錛?nbsp; //鐩稿綋浜庝氦鎹[i]鍜孯[j]錛屼氦鎹㈠悗i鎸囬拡鍔?
while(i <j&&R[i].key <=pivot.key) //pivot鐩稿綋浜庡湪浣嶇疆j涓?
i++錛?nbsp; //浠庡乏鍚戝彸鎵弿錛屾煡鎵劇1涓叧閿瓧澶т簬pivot.key鐨勮褰昍[i]
if(i <j) //琛ㄧず鎵懼埌浜哛[i]錛屼嬌R[i].key> pivot.key
R[j--]=R[i]; //鐩稿綋浜庝氦鎹[i]鍜孯[j]錛屼氦鎹㈠悗j鎸囬拡鍑?
} //endwhile
R[i]=pivot錛?nbsp; //鍩哄噯璁板綍宸茶鏈鍚庡畾浣?
return i錛?
} //partition
4銆佸揩閫熸帓搴忔墽琛岃繃紼?
銆蹇熸帓搴忔墽琛岀殑鍏ㄨ繃紼嬪彲鐢ㄩ掑綊鏍?wèi)鏉ユ弿杩般?
錛堝浘鐪佺暐錛?
鍒嗘瀽錛?nbsp;
銆錛?錛夐掑綊鎵ц鐨勮礬綰垮鍥句腑甯︾澶寸殑鍖呯粶綰挎墍紺恒?
銆 錛?錛?nbsp; 閫掑綊鏍?wèi)涓婃瘡涓緇撶偣宸︽梺鏂規(guī)嫭鍙瘋〃紺哄綋鍓嶅緟鎺掑簭鐨勫尯闂達(dá)紝緇撶偣鍐呯殑鍏抽敭瀛楁槸鍒掑垎鐨勫熀鍑嗗叧閿瓧
娉ㄦ剰錛?
銆 鍙剁粨鐐瑰搴旂殑瀛愬尯闂村彧鏈変竴涓叧閿瓧錛屾棤欏誨垝鍒嗭紝鏁呭彾緇撶偣鍐呮病鏈夊熀鍑嗗叧閿瓧
銆銆錛?錛?nbsp; 鍒掑垎鍚庡緱鍒扮殑宸︺佸彸涓や釜瀛愬尯闂村垎鍒爣鍦ㄨ緇撶偣鐨勫乏銆佸彸涓や釜瀛╁瓙緇撶偣鐨勫乏杈規(guī)柟鎷彿鍐呫?
銆愪緥銆戞牴緇撶偣宸︽梺鏂規(guī)嫭鍙穂49錛?8錛?5錛?7錛?6錛?3錛?7錛?9]琛ㄧず鍒濆寰呮帓搴忕殑鍏抽敭瀛楋紝鏍瑰唴鐨?9琛ㄧず鎵閫夌殑鍒掑垎鍩哄噯璁板綍鐨勫叧閿瓧錛屽垝鍒嗙粨鏋滄槸[27錛?8錛?3]49[76錛?7錛?5錛?9_]錛屽叾宸﹀彸瀛愬尯闂村垎鍒爣鍦ㄦ牴緇撶偣鐨勪袱涓瀛愮殑宸﹁竟銆?
銆 錛?錛?nbsp; 姣忎釜鍒嗘敮緇撶偣鍙蟲梺鍦嗘嫭鍙蜂腑鐨勫唴瀹硅〃紺哄璇ョ粨鐐瑰乏鏃佸尯闂寸殑鎺掑簭榪囩▼緇撴潫涔嬪悗榪斿洖鐨勭粨鏋溿傚畠鏄叾宸﹀彸瀛╁瓙瀵瑰簲鐨勫尯闂存帓搴忓畬鎴愪箣鍚庯紝灝嗗乏鍙沖瀛愬搴旂殑鎺掑簭緇撴灉鍒嗗埆鏀懼湪璇ュ垎鏀粨鐐圭殑鍏抽敭瀛楀墠鍚庢墍寰楀埌鐨勫叧閿瓧搴忓垪銆?
銆愪緥銆戝垎鏀粨鐐?6鐨勫乏鍙沖瀛愬搴旂殑鍖洪棿鎺掑簭鍚庣殑緇撴灉鍒嗗埆鏄?49_錛?5)鍜?97)錛屽皢瀹冧滑鍒嗗埆鏀懼湪76鐨勫墠鍚庡嵆寰?49錛?5錛?6錛?7)錛岃繖鏄緇撶偣76宸︽梺鍖洪棿[76錛?7錛岋紝65錛?9]鎺掑簭鐨勭粨鏋溿?
銆 錛?錛?nbsp; 綆楁硶鐨勬墽琛岄『搴忔槸閫掑綊鏍?wèi)涓殑绠ご椤哄簭锛屽疄闄呬笂褰撴妸鍒掑垎鎿嶄綔瑙嗕给櫘块棶缁撶偣鐨勬搷浣滄椨灱屽揩閫熸帓搴忕殑鎵ц榪囩▼鐩稿綋浜庢槸鍏堝簭閬嶅巻鍏墮掑綊鏍?wèi)銆?
娉ㄦ剰錛?
銆浠諱綍閫掑綊綆楁硶鍧囧彲鐢ㄩ掑綊鏍?wèi)鏉ユ弿杩板叾鎵ц杩嚱E嬨?
[49 38 65 97 76 13 27 49] //鍒濆鍏抽敭瀛?
[27 38 13] 49 [76 97 65 49] //絎?嬈″垝鍒嗗畬鎴愪箣鍚庯紝瀵瑰簲閫掑綊鏍?wèi)绗?灞?
[13] 27 [38] 49 [49 65] 76 [97] //瀵逛笂涓灞傚悇鏃犲簭鍖哄垝鍒嗗畬鎴愬悗錛屽搴旈掑綊鏍?wèi)绗?灞?
13 27 38 49 49 [65] 76 97 //瀵逛笂涓灞傚悇鏃犲簭鍖哄垝鍒嗗畬鎴愬悗錛屽搴旈掑綊鏍?wèi)绗?灞?
13 27 38 49 49 65 76 97 //鏈鍚庣殑鎺掑簭緇撴灉
銆蹇熸帓搴忕殑鏃墮棿涓昏鑰楄垂鍦ㄥ垝鍒嗘搷浣滀笂錛屽闀垮害涓簁鐨勫尯闂磋繘琛屽垝鍒嗭紝鍏遍渶k-1嬈″叧閿瓧鐨勬瘮杈冦?
銆鏈鍧忔儏鍐墊槸姣忔鍒掑垎閫夊彇鐨勫熀鍑嗛兘鏄綋鍓嶆棤搴忓尯涓叧閿瓧鏈灝?鎴栨渶澶?鐨勮褰曪紝鍒掑垎鐨勭粨鏋滄槸鍩哄噯宸﹁竟鐨勫瓙鍖洪棿涓虹┖(鎴栧彸杈圭殑瀛愬尯闂翠負(fù)絀?錛岃屽垝鍒嗘墍寰楃殑鍙︿竴涓潪絀虹殑瀛愬尯闂翠腑璁板綍鏁扮洰錛屼粎浠呮瘮鍒掑垎鍓嶇殑鏃犲簭鍖轟腑璁板綍涓暟鍑忓皯涓涓?
銆鍥犳錛屽揩閫熸帓搴忓繀欏誨仛n-1嬈″垝鍒嗭紝絎琲嬈″垝鍒嗗紑濮嬫椂鍖洪棿闀垮害涓簄-i+1錛屾墍闇鐨勬瘮杈冩鏁頒負(fù)n-i(1≤i≤n-1)錛屾晠鎬葷殑姣旇緝嬈℃暟杈懼埌鏈澶у鹼細(xì)
Cmax = n(n-1)/2=O(n2)
銆濡傛灉鎸変笂闈㈢粰鍑虹殑鍒掑垎綆楁硶錛屾瘡嬈″彇褰撳墠鏃犲簭鍖虹殑絎?涓褰曚負(fù)鍩哄噯錛岄偅涔堝綋鏂囦歡鐨勮褰曞凡鎸夐掑搴?鎴栭掑噺搴?鎺掑垪鏃訛紝姣忔鍒掑垎鎵鍙栫殑鍩哄噯灝辨槸褰撳墠鏃犲簭鍖轟腑鍏抽敭瀛楁渶灝?鎴栨渶澶?鐨勮褰曪紝鍒欏揩閫熸帓搴忔墍闇鐨勬瘮杈冩鏁板弽鑰屾渶澶氥?
銆鍦ㄦ渶濂芥儏鍐典笅錛屾瘡嬈″垝鍒嗘墍鍙栫殑鍩哄噯閮芥槸褰撳墠鏃犲簭鍖虹殑 "涓?"璁板綍錛屽垝鍒嗙殑緇撴灉鏄熀鍑嗙殑宸︺佸彸涓や釜鏃犲簭瀛愬尯闂寸殑闀垮害澶ц嚧鐩哥瓑銆傛葷殑鍏抽敭瀛楁瘮杈冩鏁幫細(xì)
0(nlgn)
娉ㄦ剰錛?
銆鐢ㄩ掑綊鏍?wèi)鏉ュ垎鏋愭渶濂芥儏鍐典笅鐨勬瘮杈冩鏁版洿綆鍗曘傚洜涓烘瘡嬈″垝鍒嗗悗宸︺佸彸瀛愬尯闂撮暱搴﹀ぇ鑷寸浉絳夛紝鏁呴掑綊鏍?wèi)鐨勯珮搴︿负O(lgn)錛岃岄掑綊鏍?wèi)姣忎竴灞備笂鍚勭粨鐐規(guī)墍瀵瑰簲鐨勫垝鍒嗚繃紼嬩腑鎵闇瑕佺殑鍏抽敭瀛楁瘮杈冩鏁版誨拰涓嶈秴榪噉錛屾晠鏁翠釜鎺掑簭榪囩▼鎵闇瑕佺殑鍏抽敭瀛楁瘮杈冩繪鏁癈(n)=O(nlgn)銆?
銆鍥犱負(fù)蹇熸帓搴忕殑璁板綍縐誨姩嬈℃暟涓嶅ぇ浜庢瘮杈冪殑嬈℃暟錛屾墍浠ュ揩閫熸帓搴忕殑鏈鍧忔椂闂村鏉傚害搴斾負(fù)0(n2)錛屾渶濂芥椂闂村鏉傚害涓篛(nlgn)銆?
銆鍦ㄥ綋鍓嶆棤搴忓尯涓夊彇鍒掑垎鐨勫熀鍑嗗叧閿瓧鏄喅瀹氱畻娉曟ц兘鐨勫叧閿?
銆銆鈶?"涓夎呭彇涓?"鐨勮鍒?
銆 "涓夎呭彇涓?"瑙勫垯錛屽嵆鍦ㄥ綋鍓嶅尯闂撮噷錛屽皢璇ュ尯闂撮銆佸熬鍜屼腑闂翠綅緗笂鐨勫叧閿瓧姣旇緝錛屽彇涓夎呬箣涓兼墍瀵瑰簲鐨勮褰曚綔涓哄熀鍑嗭紝鍦ㄥ垝鍒嗗紑濮嬪墠灝嗚鍩哄噯璁板綍鍜岃鍖轟己鐨勭1涓褰曡繘琛屼氦鎹紝姝ゅ悗鐨勫垝鍒嗚繃紼嬩笌涓婇潰鎵緇欑殑Partition綆楁硶瀹屽叏鐩稿悓銆?
銆閫夊彇鍩哄噯鏈濂界殑鏂規(guī)硶鏄敤涓涓殢鏈哄嚱鏁頒駭鐢熶竴涓彇浣嶄簬low鍜宧igh涔嬮棿鐨勯殢鏈烘暟k(low≤k≤high)錛岀敤R[k]浣滀負(fù)鍩哄噯錛岃繖鐩稿綋浜庡己榪玆[low..high]涓殑璁板綍鏄殢鏈哄垎甯冪殑銆傜敤姝ゆ柟娉曟墍寰楀埌鐨勫揩閫熸帓搴忎竴鑸О涓洪殢鏈虹殑蹇熸帓搴忋傚叿浣撶畻娉曘愬弬瑙佹暀鏉愩?
娉ㄦ剰錛?
銆 闅忔満鍖栫殑蹇熸帓搴忎笌涓鑸殑蹇熸帓搴忕畻娉曞樊鍒緢灝忋備絾闅忔満鍖栧悗錛岀畻娉曠殑鎬ц兘澶уぇ鍦版彁楂樹簡錛屽挨鍏舵槸瀵瑰垵濮嬫湁搴忕殑鏂囦歡錛屼竴鑸笉鍙兘瀵艱嚧鏈鍧忔儏鍐電殑鍙戠敓銆傜畻娉曠殑闅忔満鍖栦笉浠呬粎閫傜敤浜庡揩閫熸帓搴忥紝涔熼傜敤浜庡叾瀹冮渶瑕佹暟鎹殢鏈哄垎甯冪殑綆楁硶銆?
銆灝界蹇熸帓搴忕殑鏈鍧忔椂闂翠負(fù)O(n2)錛屼絾灝卞鉤鍧囨ц兘鑰岃█錛屽畠鏄熀浜庡叧閿瓧姣旇緝鐨勫唴閮ㄦ帓搴忕畻娉曚腑閫熷害鏈蹇咃紝蹇熸帓搴忎害鍥犳鑰屽緱鍚嶃傚畠鐨勫鉤鍧囨椂闂村鏉傚害涓篛(nlgn)銆?
銆蹇熸帓搴忓湪緋葷粺鍐呴儴闇瑕佷竴涓爤鏉ュ疄鐜伴掑綊銆傝嫢姣忔鍒掑垎杈冧負(fù)鍧囧寑錛屽垯鍏墮掑綊鏍?wèi)鐨勯珮搴︿负O(lgn)錛屾晠閫掑綊鍚庨渶鏍堢┖闂翠負(fù)O(lgn)銆傛渶鍧忔儏鍐典笅錛岄掑綊鏍?wèi)鐨勯珮搴︿负O(n)錛屾墍闇鐨勬爤絀洪棿涓篛(n)銆?
銆蹇熸帓搴忔槸闈炵ǔ瀹氱殑錛屼緥濡俒2錛?錛?]銆?
杞嚜錛?br>http://www.360doc.com/content/10/1025/15/4161063_63868950.shtml
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澹版槑錛氭湰鏂囩郴JavaEye緗戠珯鍙戝竷鐨勫師鍒涘崥瀹㈡枃绔狅紝鏈粡浣滆呬功闈㈣鍙紝涓ョ浠諱綍緗戠珯杞澆鏈枃錛屽惁鍒欏繀灝嗚拷絀舵硶寰嬭矗浠伙紒
class Shell {
public static void main(String[] args) {
int[] a = {9,8,7,6,5,4,3,2,1};
sort(a);
println(a);
}
private static void println(int[] a) {
for(int i: a) System.out.print(i + " ");
System.out.println();
}
private static void sort(int[] a) {
int h = 1;
while(h <= a.length/3) h = h * 3 + 1; //浜ф垚Kunth搴忓垪
while(h > 0) {
for(int i = h; i < a.length; i++) { //瀵規(guī)瘡涓暟鎹繘琛岄棿闅斾負(fù)h鐨勬彃鍏ユ帓搴?
int pos = i;
int temp = a[i];
while(pos >= h && a[pos - h] > temp) {
a[pos] = a[pos-h];
pos -= h;
}
a[pos] = temp;
}
h = (h - 1) / 3; //鍑忓皬闂撮殧鍊?
}
}
}
]]>
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涓.鏁版嵁緇撴瀯
緇撴瀯浣?鎴栧璞?鍙互鏄熀鏈暟鎹被鍨嬫垨鑰呭叾浠栫粨鏋勪綋(鎴栧璞?鐨勭粍鍚堛傜粨鏋勪綋鎴栧璞′竴鑸敤鏉ユ弿榪頒竴涓鏉傛暟鎹疄浣撱?/p>
浜?Hash Table
1.鍝堝笇鍑芥暟
涓鑸儏鍐典笅 鍝堝笇鍑芥暟鐨勮緭鍏ュ彲鑳界殑鎬繪暟瑕佽繙榪滃浜庡搱甯屽兼墍鑳借〃紺虹殑鎬繪暟錛屾墍浠ュ氨鏈夊彲鑳戒袱涓笉鍚岀殑杈撳叆瀵瑰簲鍚屼竴涓搱甯屽鹼紝閫氬父鎶婂叿鏈変笉鍚屽叧閿爜鑰屽叿鏈夌浉鍚屽搱甯屽肩殑璁板綍縐頒綔“鍚屼箟璇?#8221;銆?br>鍦ㄤ俊鎭畨鍏ㄩ鍩熶腑涔熺粡甯鎬嬌鐢ㄥ埌鍝堝笇鍑芥暟錛屼笉榪囬渶瑕佷嬌鐢ㄧ殑鏄崟鍚戝搱甯屽嚱鏁幫紝灝辨槸鏃犳硶閫氳繃鍝堝笇鐨勭粨鏋滃弽鎺ㄥ嚭杈撳叆錛屾墍浠ョ粡甯稿簲鐢ㄤ簬瀵嗙爜鐨勫姞瀵嗭紝浼犺緭鍐呭鐨勫畬鏁存ф鏌ワ紝鍦ㄥ畨鍏ㄩ鍩熷父鐢ㄧ殑鍝堝笇綆楁硶鏈?MD5錛孲HA1絳夈?br>鍦ㄥ搱甯岃〃鐨勫簲鐢ㄤ腑錛屽搱甯屽嚱鏁板父鐢ㄤ綑鏁版硶榪涜錛屼篃灝辨槸閫氳繃姹傛ā鐨勬柟寮忕畻鍑哄搱甯屽箋?/p>
2.鍝堝笇琛?/h3>
鏋勯犲搱甯屽嚱鏁?/h5>
瑁呭~鍥犲瓙Load factor a=鍝堝笇琛ㄧ殑瀹為檯鍏冪礌鏁扮洰(n)/ 鍝堝笇琛ㄧ殑瀹歸噺(m) a瓚婂ぇ錛屽搱甯岃〃鍐茬獊鐨勬鐜囪秺澶э紝浣嗘槸a瓚婃帴榪?錛岄偅涔堝搱甯岃〃鐨勭┖闂村氨瓚婃氮璐廣?br>涓鑸儏鍐典笅寤鴻Load factor鐨勫間負(fù)0-0.7錛孞ava瀹炵幇鐨凥ashMap榛樿鐨凩oad factor鐨勫間負(fù)0.75錛屽綋瑁呰澆鍥犲瓙澶т簬榪欎釜鍊肩殑鏃跺欙紝HashMap浼?xì)瀵规暟缁剺q涜鎵╁紶鑷沖師鏉ヤ袱鍊嶅ぇ銆?/p>
鍐茬獊瑙e喅
瑙e喅鍐茬獊鐨勬柟寮忎富瑕佸垎涓ょ被
寮鏀懼畾鍧娉?Open addressing)榪欑鏂規(guī)硶灝辨槸鍦ㄨ綆椾竴涓猭ey鐨勫搱甯岀殑鏃跺欙紝鍙戠幇鐩爣鍦板潃宸茬粡鏈夊間簡錛屽嵆鍙戠敓鍐茬獊浜嗭紝榪欎釜鏃跺欓氳繃鐩稿簲鐨勫嚱鏁板湪姝ゅ湴鍧鍚庨潰鐨勫湴鍧鍘繪壘錛岀洿鍒版病鏈夊啿紿佷負(fù)姝€傝繖涓柟娉曞父鐢ㄧ殑鏈夌嚎鎬ф帰嫻嬶紝浜屾鎺㈡祴錛屽啀鍝堝笇銆?br>榪欑瑙e喅鏂規(guī)硶鏈変釜涓嶅ソ鐨勫湴鏂瑰氨鏄紝褰撳彂鐢熷啿紿佷箣鍚庯紝浼?xì)鍦ㄤ箣鍚庣殑鍦板潃絀洪棿涓壘涓涓斁榪涘幓錛岃繖鏍峰氨鏈夊彲鑳藉悗鏉ュ嚭鐜頒竴涓猭ey鍝堝笇鍑烘潵鐨勭粨鏋滀篃姝eソ鏄畠鏀捐繘鍘葷殑榪欎釜鍦板潃絀洪棿錛岃繖鏍峰氨浼?xì)鍑虹幇闈炲悓涔夎瘝鐨勪袱涓猭ey鍙戠敓鍐茬獊銆?br>
閾炬帴娉?Separate chaining)閾炬帴娉曟槸閫氳繃鏁扮粍鍜岄摼琛ㄧ粍鍚堣屾垚鐨勩傚綋鍙戠敓鍐茬獊鐨勬椂鍊欏彧瑕佸皢鍏跺姞鍒板搴旂殑閾捐〃涓嵆鍙?/p>
娉?閮ㄥ垎鍥劇墖鏉ヨ嚜Wikipedia
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