锘??xml version="1.0" encoding="utf-8" standalone="yes"?> Writen by Fox(yulefox.at.gmail.com) 鍦ㄥ叿浣撹璁轟箣鍓嶏紝鏈枃鍏堝帢娓匲UID錛圲niversally Unique IDentifier錛変笌GUID錛圙lobally Unique IDentifier錛夌殑鍏崇郴銆?/p>
鍦ㄥ垎甯冨紡銆佺綉緇溿佸崟鏈虹幆澧冧笅錛屼負浜嗚兘澶熶嬌鐢ㄥ叿鏈夋煇縐嶅艦寮忕殑ID鍞竴鏍囪瘑緋葷粺涓殑浠諱竴鍏冪礌錛岃繖鏍風殑ID鍙互涓嶄緷璧栦腑蹇冭璇佽嚜鍔ㄧ敓鎴愶紝浜庢槸UUID灝辮癁鐢熶簡銆?/p>
UUID鏍囧噯鐨勫巻鍙叉部闈╁拰鍏蜂綋瀹炵幇鍦?a title="RFC4122" target="_blank">RFC 4122銆?a title="ITU-T rec. x.667" target="_blank">ITU-T Rec. X.667鍜?a title="ISO/IEC 9834-8:2008" target="_blank">ISO/IEC 9834-8:2008涓潎鏈夎緇嗘弿榪般侷TU鍜孖SO閲囩敤鐨勬爣鍑嗗拰RFC 4122閮芥槸鍦║UID鐨勬棭鏈熺増鏈熀紜涓婂畬鎴愶紝鍚勭増鏈箣闂村叿鏈変竴鑷存у拰鍏煎鎬с?/p>
鍥犱負涓嶈兘淇濊瘉UUID鐨勫敮涓鎬э紝ITU鍜孖SO閽堝UUID鐨勪嬌鐢ㄩ兘鏈?a id="eac3" title="鍏嶈矗澹版槑" target="_blank">鍏嶈矗澹版槑銆?/p>
GUID涓鑸槸鎸嘙icrosoft瀵逛簬UUID鏍囧噯鐨勫疄鐜幫紝UUID鐨勫疄鐜板垯澶氳浜庡叾浠栫郴緇燂紙*NIX銆丮AC OS絳夛級涓傚湪浜嗚В浜嗚繖涓鍖哄埆鍚庯紝鏈枃灝嗙粺涓浣跨敤UUID鏉ユ寚浠e搴旂殑鍘熺悊銆佺畻娉曞強瀹炵幇銆?/p>
鏂囦腑鍏充簬UUID鐨勮璁哄叏閮ㄥ熀浜嶳FC 4122鍜孖TU-T Rec.
X.667浠ュ強OSF銆両ETF銆両TU錛峊銆両SO銆丗IPS鐨勫悇縐嶆爣鍑嗘枃妗c傝孶UID鐨勭粏鑺傦紙濡傜粨鏋勩佽〃紺恒佺畻娉曘佸疄鐜扮瓑錛夊潎浠TU-T
Rec. X667涓哄敮涓钃濇湰錛屾枃涓?#8220;鏈爣鍑?#8221;鍗蟲寚浠h钃濇湰銆?/p>
o 浠嬬粛 UUID鏄暱搴︿負16-byte錛?28-bit錛夌殑ID錛屼竴鑸互褰㈠f81d4fae-7dec-11d0-a765-00a0c91e6bf6鐨勫瓧絎︿覆浣滀負URN錛圲niform Resource Name錛岀粺涓璧勬簮鍚嶇О錛夈?/p>
o 鍔ㄦ満 鏃犻』涓績璁よ瘉錛岃嚜鍔ㄧ敓鎴愶紝鏀寔涓鍙版満鍣ㄦ瘡縐掔敓鎴?0M嬈★紙100綰崇綰э紝鍏墮殣鍚師鍥犳槸鎸囪兘澶熷尯鍒嗙殑鏈灝忔椂闂村崟浣嶄負100ns錛屽皢鏃墮棿浣滀負鍥犲瓙鏃訛紝榪炵畫鐢熸垚涓や釜UUID鐨勬椂闂磋嚦灝戣闂撮殧100ns錛夈傛柟渚垮瓨鍙栥佸垎閰嶃佹帓搴忋佹煡鎵俱?/p>
o 緇撴瀯 UUID鐢變笂榪?涓煙鏋勬垚錛屾瘡涓煙緙栫爜涓鴻嫢騫插瓧鑺傦紝騫朵互16榪涘埗鏁拌〃紺鴻繖128浣嶇殑UUID錛岀浉閭誨煙浠ュ噺鍙?#8220;-”鍒嗛殧
錛圴ariantAndClockSeqHigh鍜孋lockSeqLow瀵瑰簲鐨勪袱涓瓧鑺備緥澶栵紝濡備笂鎵紺猴級銆傝緇撴瀯涓寘鍚増鏈紙Version錛夈佸彉浣?
錛圴ariant錛夈佹椂闂達紙Time錛夈佹椂閽熷簭鍒楋紙Clock Sequence錛夈佽妭鐐癸紙Note錛変俊鎭紙浠ユ棤絎﹀彿鏁村瀷鍊艱〃紺猴級銆?/p>
o 鍚堟硶鎬?/strong> 闄ゅ垽鏂璿ariant浣嶈緗槸鍚︽紜佸熀浜庢椂闂寸敓鎴愮殑UUID鏃墮棿鍊兼槸鍚︿負鏈粡鍒嗛厤鐨勫皢鏉ユ椂闂村錛屽疄闄呭簲鐢ㄤ腑娌℃湁鍏朵粬鏈哄埗鍙互鍒ゅ畾UUID鏄惁鍚堟硶銆?/p>
o 鍙樹綋 Variant浣嶆槸UUID絎?瀛楄妭錛圴ariantAndClockSeqHigh錛夌殑鏈楂?浣嶏紝 7 6 5 Description o 鐗堟湰 UUID鐨勭敓鎴愭湁鏃墮棿銆佸悕縐般侀殢鏈烘暟涓夌絳栫暐錛屼互絎?瀛楄妭錛圴ersionAndTimeHigh錛夌殑鏈楂?浣嶈〃紺恒?/p>
鐩墠UUID瀹氫箟鏈?涓増鏈細 7 6 5 4 Ver Description o 鏃墮棿 鏃墮棿鏄竴涓?0浣嶇殑鏁村瀷鍊鹼紙闄?浣嶇増鏈彿澶栫殑鍓?瀛楄妭錛夛紝瀵瑰簲UTC錛堟牸鏋楀凹娌繪椂闂?582騫?0鏈?5鏃ュ崍澶滃錛夌殑100ns鏃墮棿闂撮殧璁℃暟銆?/p>
瀵逛簬ver 4鍜?錛岃鍊煎垎鍒搴斾竴涓殢鏈烘暟鍜屼竴涓叏灞鍞竴鐨勫悕縐般?/p>
o 鏃墮挓搴忓垪 瀵瑰熀浜庢椂闂寸殑UUID鐗堟湰錛屾椂闂村簭鍒楃敤浜庨伩鍏嶅洜鏃墮棿鍚戝悗璁劇疆鎴栬妭鐐瑰兼敼鍙樺彲鑳介犳垚鐨刄UID閲嶅錛屽鍩轟簬鍚嶇О鎴栭殢鏈烘暟鐨勭増鏈悓鏍鋒湁鐢細鐩殑閮芥槸涓轟簡闃叉UUID閲嶅銆?/p>
濡傛灉鍓嶄竴鏃墮挓搴忓垪宸茬煡錛岄氳繃鑷瀹炵幇鏃墮挓搴忓垪鍊肩殑鏀瑰彉錛涘惁鍒欙紝閫氳繃瀵嗙爜瀛︼紙浼級闅忔満鏁拌緗柊鐨勬椂閽熷簭鍒楀箋?/p>
o 鑺傜偣 瀵瑰熀浜庢椂闂寸殑UUID鐗堟湰錛岃妭鐐圭敱48浣嶇殑鍗曟挱MAC鍦板潃鏋勬垚銆傚浜庢病鏈塎AC鍦板潃鐨勭郴緇燂紝鑺傜偣鍊間負涓涓瘑鐮佸錛堜吉錛夐殢鏈烘暟錛堜負闃叉涓嶮AC鍦板潃鍙戠敓紕版挒錛岄渶璁劇疆澶氭挱浣嶏級銆?/p>
o 紜畾UTC鏃墮棿錛?0浣?Time錛夊拰鏃墮棿搴忓垪鍊鹼紙14浣?ClockSequence錛夛紱 o 璁劇疆TimeLow錛堝搴擳ime鐨?1-0浣嶏級錛?/p>
o 璁劇疆TimeMid錛堝搴擳ime鐨?7-32浣嶏級錛?/p>
o 璁劇疆VersionAndTimeHigh錛?浣嶇増鏈彿鍙奣ime鐨?9-48浣嶏級錛?/p>
o 璁劇疆VariantAndClockSeqHigh錛堝彉浣撲綅鍙婂搴擟lockSequence鐨?3-8浣嶏級錛?/p>
o 璁劇疆ClockSeqLow錛堝搴擟lockSequence鐨?-0浣嶏級錛?/p>
o 璁劇疆Node錛堝搴?8浣峂AC鍦板潃錛夈?/p>
o 鍩轟簬鍚嶇О鐨刄UID鐢熸垚綆楁硶 o 閽堝鐩稿簲鐨勫懡鍚嶇┖闂達紙濡侱NS銆乁RL銆丱ID絳夛級鍒嗛厤涓涓猆UID浣滀負鎵鏈塙UID鐨勫懡鍚嶇┖闂存爣璇嗭紱 o 灝嗗悕縐拌漿鎹負瀛楄妭鏁板垪錛?/p>
o 浣跨敤MD5鎴朣HA-1綆楁硶瀵逛笌鍚嶇О鍏寵仈鐨勫懡鍚嶇┖闂存爣璇嗚繘琛岃綆楋紝浜х敓16瀛楄妭鍝堝笇緇撴灉錛?/p>
o 璁劇疆TimeLow錛堝搴斿搱甯屽肩殑3-0瀛楄妭錛夛紱 o 璁劇疆TimeMid錛堝搴斿搱甯屽肩殑5-4瀛楄妭錛夛紱 o 璁劇疆VersionAndTimeHigh錛堝搴斿搱甯屽肩殑7-6瀛楄妭錛夛紝浠ョ浉搴旂増鏈彿閲嶅啓瀵瑰簲浣嶏紙絎?瀛楄妭鐨勯珮4浣嶏級錛?/p>
o 璁劇疆VariantAndClockSeqHigh錛堝搴斿搱甯屽肩殑絎?瀛楄妭錛夛紝閲嶅啓鍙樹綋瀵瑰簲浣嶏紙絎?瀛楄妭鐨勯珮2浣嶏紝鏈爣鍑嗗搴斿間負10錛夛紱 o 璁劇疆ClockSeqLow錛堝搴斿搱甯屽肩殑絎?瀛楄妭錛夛紱 o 璁劇疆Node錛堝搴斿搱甯屽肩殑15-10瀛楄妭錛夈?/p>
鐢?
浜嶮D5紕版挒闂錛孧D5鍙敤浜庡悜鍚庡吋瀹圭殑UUID鐢熸垚錛屼笉鍐嶈鎺ㄨ崘浣跨敤銆傜敱浜嶴HA-1鍝堝笇緇撴灉涓?60浣嶏紙20瀛楄妭錛夛紝鏈畻娉曚腑錛岄渶瑕佸皢FIPS
PUB 180-2涓殑SHA-1綆楁硶鐨勫搱甯屽煎瓧鑺傞『搴忓弽杞紙瀛楄妭鍐呴『搴忎笉鍙橈級錛孶UID浣跨敤鍏?5-0瀛楄妭錛?9-16瀛楄妭琚涪寮冦?/p>
o 鍩轟簬闅忔満鏁扮殑UUID鐢熸垚綆楁硶 o 璁劇疆VariantAndClockSeqHigh鐨勫彉浣撲綅鍊間負10錛?/p>
o 璁劇疆VersionAndTimeHigh鐨?浣嶇増鏈彿錛?/p>
o 璁劇疆鍓╀綑浣嶄負闅忔満鍊箋?/p>
鏈枃涓璁虹殑瀵嗙爜瀛﹂殢鏈烘暟錛屼富瑕佹牴鎹郴緇熷彲浠ユ彁渚涚殑淇℃伅錛堝唴瀛樸佺‖鐩樸佸彞鏌勩佺▼搴忚繍琛岀殑綰跨▼銆佽繘紼嬨佸彞鏌勩佸爢鏍堢瓑錛夛紝鍒╃敤SHA-1絳夊搱甯岀畻娉曞緱鍒般?/p>
鍏朵粬鍏充簬瀵嗙爜瀛﹂殢鏈烘暟鐨勬弿榪幫紝鎴戞浘鍦?a id="dtto" title="鍏鋒湁瀵嗙爜瀛︽剰涔夌殑PRNG錛圕SPRNG錛? target="_blank">榪欑瘒鏂囩珷涓畝鍗曟彁鍒般?/p>
涔嬪墠鏇劇粡涓夋鍐欒繃Fibonacci鏁?/strong>錛?007騫?鏈堢殑鎴戠殑Fibonacci鏁板垪錛?007騫?2鏈堢殑涔熻璇寸駭鏁版眰鍜?1+2+3鈥)鍜屽叾浠?/a>錛?008騫?鏈堢殑鍔ㄦ佽鍒掔畻娉?/a>錛屼絾緇欏嚭鐨勯兘涓嶆槸闈炲父浼樼殑綆楁硶銆?/p> 涓婃鍥炲幓鎶婂悓瀛﹀熺殑銆婄紪紼嬩箣緹庛嬪伔榪囨潵榪樻病鎬庝箞鐪嬶紝鏅氫笂緲諱簡涓涓嬶紝鐪嬪埌鏈夎Fibonacci鏁?/strong>錛屾兂璧鋒潵Knuth鐨凾he Art of Computer Programming Vol.1涔熻榪囷紝瑙夊緱鏈夊繀瑕佸Fibonacci鏁?/strong>鍋氫釜浜嗘柇銆?/p> 璇氬Knuth鍦═he Art of Computer Programming Vol.1鎵榪幫紝Fibonacci鏄腑涓栫邯浠ユ潵嬈ф床鏈浼熷ぇ鐨勬暟瀛﹀錛屼粬鍏充簬al-Khwarizmi鐨勭爺絀跺偓鐢熶簡綆楁硶錛坅lgorithm錛変竴璇嶃?/p> 鐪嬪埌榪欎簺錛屾垜鍙堟縺鍔ㄤ簡錛屾暟瀛︿箣緹庯紝涓嶆鏄編鍦ㄨ繖浜涘湴鏂瑰悧錛熸垜浠笉鏄鍋氭暟瀛﹀錛屼絾榪欏茍涓嶅Θ紕嶆垜浠珯鍦ㄩ棬鍙e悜閲屽紶鏈涒︹?/strong> 榪欑瘒鏂囩珷鐨勬湳璇疄鍦ㄦ槸澶浜嗭紝鎵浠ユ垜鍦ㄦ枃涓姞鍏ヤ簡灝戦噺娉ㄩ噴錛屼竴寰嬩互綺楁枩浣?/strong>娉ㄦ槑銆?/p> 鏈枃鐨勪笉瓚充箣澶勫皢闅忔椂淇錛孧IT鐨勩?a target="_blank">Introduction to Algorithms銆嬬15绔犳槸涓撻棬璁插姩鎬佽鍒掔殑銆?/p> _____________________________________________________________ 鍦ㄦ暟瀛︿笌璁$畻鏈虹瀛﹂鍩燂紝鍔ㄦ佽鍒?/strong>鐢ㄤ簬瑙e喅閭d簺鍙垎瑙d負閲嶅瀛愰棶棰?/a>錛坥verlapping subproblems錛?em>鎯蟲兂閫掑綊姹傞樁涔樺惂錛夊茍鍏鋒湁鏈浼樺瓙緇撴瀯錛坥ptimal substructure錛?strong>鎯蟲兂鏈鐭礬寰勭畻娉?/em>錛夛紙濡備笅鎵榪幫級鐨勯棶棰橈紝鍔ㄦ佽鍒掓瘮閫氬父綆楁硶鑺辮垂鏇村皯鏃墮棿銆? 涓婁笘綰?0騫翠唬錛?a target="_blank">Richard Bellman鏈鏃╀嬌鐢ㄥ姩鎬佽鍒掕繖涓姒傚康琛ㄨ堪閫氳繃閬嶅巻瀵繪壘鏈浼樺喅絳栬В闂鐨勬眰瑙h繃紼嬨?953騫達紝Richard Bellman灝嗗姩鎬佽鍒?a target="_blank">璧嬩簣鐜頒唬鎰忎箟錛岃棰嗗煙琚獻EEE綰沖叆緋葷粺鍒嗘瀽鍜屽伐紼嬩腑銆備負綰康Bellman鐨勮礎鐚紝鍔ㄦ佽鍒掔殑鏍稿績鏂圭▼琚懡鍚嶄負璐濆皵鏇兼柟紼?/a>錛岃鏂圭▼浠?a target="_blank">閫掑綊褰㈠紡閲嶇敵浜嗕竴涓紭鍖栭棶棰樸? 鍦ㄢ滃姩鎬佽鍒掆濓紙dynamic programming錛変竴璇嶄腑錛宲rogramming涓庘滆綆楁満緙栫▼鈥濓紙computer programming錛変腑鐨刾rogramming騫舵棤鍏寵仈錛岃屾槸鏉ヨ嚜鈥?a target="_blank">鏁板瑙勫垝鈥濓紙mathematical programming錛夛紝涔熺О浼樺寲銆傚洜姝わ紝瑙勫垝鏄寚瀵圭敓鎴愭椿鍔ㄧ殑浼樺寲絳栫暐銆備婦涓緥瀛愶紝緙栧埗涓鍦哄睍瑙堢殑鏃ョ▼鍙О涓鴻鍒掋?鍦ㄦ鎰忎箟涓婏紝瑙勫垝鎰忓懗鐫鎵懼埌涓涓彲琛岀殑媧誨姩璁″垝銆? 鍥? 浣跨敤鏈浼樺瓙緇撴瀯瀵繪壘鏈鐭礬寰勶細鐩寸嚎琛ㄧず杈癸紝娉㈢姸綰胯〃紺轟袱欏剁偣闂寸殑鏈鐭礬寰勶紙璺緞涓叾浠栬妭鐐規湭鏄劇ず錛夛紱綺楃嚎琛ㄧず浠庤搗鐐瑰埌緇堢偣鐨勬渶鐭礬寰勩? 涓嶉毦鐪嬪嚭錛宻tart鍒癵oal鐨勬渶鐭礬寰勭敱start鐨勭浉閭昏妭鐐瑰埌goal鐨勬渶鐭礬寰勫強start鍒板叾鐩擱偦鑺傜偣鐨勬垚鏈喅瀹氥?/em> 鏈浼樺瓙緇撴瀯鍗沖彲鐢ㄦ潵瀵繪壘鏁翠釜闂鏈浼樿В鐨勫瓙闂鐨勬渶浼樿В銆備婦渚嬫潵璇達紝瀵繪壘鍥?/a>涓婃煇欏剁偣鍒扮粓鐐圭殑鏈鐭礬寰?/a>錛屽彲鍏堣綆楄欏剁偣鎵鏈夌浉閭婚《鐐硅嚦緇堢偣鐨勬渶鐭礬寰勶紝鐒跺悗浠ユ鏉ラ夋嫨鏈浣蟲暣浣撹礬寰勶紝濡?strong>鍥?鎵紺恒? 涓鑸岃█錛屾渶浼樺瓙緇撴瀯閫氳繃濡備笅涓変釜姝ラ瑙e喅闂錛? a) 灝嗛棶棰樺垎瑙f垚杈冨皬鐨勫瓙闂錛? b) 閫氳繃閫掑綊浣跨敤榪欎笁涓楠ゆ眰鍑哄瓙闂鐨勬渶浼樿В錛? c) 浣跨敤榪欎簺鏈浼樿В鏋勯犲垵濮嬮棶棰樼殑鏈浼樿В銆? 瀛愰棶棰樼殑姹傝В鏄氳繃涓嶆柇鍒掑垎涓烘洿灝忕殑瀛愰棶棰樺疄鐜扮殑錛岀洿鑷蟲垜浠彲浠ュ湪甯告暟鏃墮棿鍐呮眰瑙c? 鍥? Fibonacci搴忓垪鐨勫瓙闂紺烘剰鍥撅細浣跨敤鏈夊悜鏃犵幆鍥?/a>錛圖AG, directed acyclic graph錛夎岄潪鏍?/a>琛ㄧず閲嶅瀛愰棶棰樼殑鍒嗚В銆? 涓轟粈涔堟槸DAG鑰屼笉鏄爲鍛紵絳旀灝辨槸錛屽鏋滄槸鏍戠殑璇濓紝浼氭湁寰堝閲嶅璁$畻錛屼笅闈㈡湁鐩稿叧鐨勮В閲娿?/em> 涓涓棶棰樺彲鍒掑垎涓洪噸澶嶅瓙闂鏄寚閫氳繃鐩稿悓鐨勫瓙闂鍙互瑙e喅涓嶅悓鐨勮緝澶ч棶棰樸備緥濡傦紝鍦‵ibonacci搴忓垪涓紝F3 = F1 + F2鍜孎4 = F2 + F3閮藉寘鍚綆桭2銆傜敱浜庤綆桭5闇瑕佽綆桭3鍜孎4錛屼竴涓瘮杈冪鐨勮綆桭5鐨勬柟娉曞彲鑳戒細閲嶅璁$畻F2涓ゆ鐢氳嚦涓ゆ浠ヤ笂銆傝繖涓鐐瑰鎵鏈夐噸澶嶅瓙闂閮介傜敤錛氭剼锠㈢殑鍋氭硶鍙兘浼氫負閲嶅璁$畻宸茬粡瑙e喅鐨勬渶浼樺瓙闂鐨勮В鑰屾氮璐規椂闂淬? 涓洪伩鍏嶉噸澶嶈綆楋紝鍙皢宸茬粡寰楀埌鐨勫瓙闂鐨勮В淇濆瓨璧鋒潵錛屽綋鎴戜滑瑕佽В鍐崇浉鍚岀殑瀛愰棶棰樻椂錛岄噸鐢ㄥ嵆鍙傝鏂規硶鍗蟲墍璋撶殑緙撳瓨錛坢emoization錛岃屼笉鏄瓨鍌╩emorization錛岃櫧鐒惰繖涓瘝浜﹂傚悎錛?strong>濮戜笖榪欎箞鍙惂錛岃繖涓崟璇嶅お闅劇炕璇戜簡錛岀畝鐩村氨鏄彲鎰忎細涓嶅彲璦浼狅紝鍏舵剰涔夋槸娌¤綆楄繃鍒欒綆楋紝璁$畻榪囧垯淇濆瓨錛夈傚綋鎴戜滑紜俊灝嗕笉浼氬啀闇瑕佹煇涓瑙f椂錛屽彲浠ュ皢鍏舵姏寮冿紝浠ヨ妭鐪佺┖闂淬傚湪鏌愪簺鎯呭喌涓嬶紝鎴戜滑鐢氳嚦鍙互鎻愬墠璁$畻鍑洪偅浜涘皢鏉ヤ細鐢ㄥ埌鐨勫瓙闂鐨勮В銆? 鎬繪嫭鑰岃█錛屽姩鎬佽鍒掑埄鐢細 1) 閲嶅瀛愰棶棰?/a> 2) 鏈浼樺瓙緇撴瀯 3) 緙撳瓨 鍔ㄦ佽鍒掗氬父閲囩敤浠ヤ笅涓ょ鏂瑰紡涓殑涓縐嶄袱涓姙娉曪細 鑷《鍚戜笅錛氬皢闂鍒掑垎涓鴻嫢騫插瓙闂錛屾眰瑙h繖浜涘瓙闂騫朵繚瀛樼粨鏋滀互鍏嶉噸澶嶈綆椼傝鏂規硶灝嗛掑綊鍜岀紦瀛樼粨鍚堝湪涓璧楓? 鑷笅鑰屼笂錛氬厛琛屾眰瑙f墍鏈夊彲鑳界敤鍒扮殑瀛愰棶棰橈紝鐒跺悗鐢ㄥ叾鏋勯犳洿澶ч棶棰樼殑瑙c傝鏂規硶鍦ㄨ妭鐪佸爢鏍堢┖闂村拰鍑忓皯鍑芥暟璋冪敤鏁伴噺涓婄暐鏈変紭鍔匡紝浣嗘湁鏃舵兂鎵懼嚭緇欏畾闂鐨勬墍鏈夊瓙闂騫朵笉閭d箞鐩磋銆? 涓轟簡鎻愰珮鎸夊悕浼犻?/a>錛坈all-by-name錛岃繖涓鏈哄埗涓?a target="_blank">鎸夐渶浼犻?/a>call-by-need鐩稿叧錛?strong>澶嶄範涓涓嬪弬鏁頒紶閫掔殑鍚勭瑙勫垯鍚э紝綆鍗曡涓涓嬶紝鎸夊悕浼犻掑厑璁告敼鍙樺疄鍙傚?/em>錛夌殑鏁堢巼錛屼竴浜涚紪紼嬭璦灝嗗嚱鏁扮殑榪斿洖鍊尖滆嚜鍔ㄢ濈紦瀛樺湪鍑芥暟鐨勭壒瀹氬弬鏁伴泦鍚堜腑銆備竴浜涜璦灝嗚繖涓鐗規у敖鍙兘綆鍖栵紙濡?a target="_blank">Scheme銆?a target="_blank">Common Lisp 1. Fibonacci搴忓垪 瀵繪壘Fibonacci搴忓垪涓n涓暟錛屽熀浜庡叾鏁板瀹氫箟鐨勭洿鎺ュ疄鐜幫細 function fib(n) 濡傛灉鎴戜滑璋冪敤fib(5)錛屽皢浜х敓涓媯靛浜庡悓涓鍊奸噸澶嶈綆楀嬈$殑璋冪敤鏍戯細 鐗瑰埆鏄紝fib(2)璁$畻浜?嬈°傚湪鏇村ぇ瑙勬ā鐨勪緥瀛愪腑錛岃繕鏈夋洿澶歠ib鐨勫艱閲嶅璁$畻錛屽皢娑堣楁寚鏁扮駭鏃墮棿銆? 鐜板湪錛屽亣璁炬垜浠湁涓涓畝鍗曠殑鏄犲皠錛坢ap錛夊璞?em>m錛屼負姣忎竴涓綆楄繃鐨刦ib鍙婂叾榪斿洖鍊煎緩绔嬫槧灝勶紝淇敼涓婇潰鐨勫嚱鏁癴ib錛屼嬌鐢ㄥ茍涓嶆柇鏇存柊m銆傛柊鐨勫嚱鏁板皢鍙渶O(n)鐨勬椂闂達紝鑰岄潪鎸囨暟鏃墮棿錛? var m := map(0 鈫?1, 1 鈫?1) 榪欎竴淇濆瓨宸茶綆楀嚭鐨勬暟鍊肩殑鎶鏈嵆琚О涓?a target="_blank">緙撳瓨 鍦?strong>鑷笅鑰屼笂鐨勬柟娉曚腑錛屾垜浠厛璁$畻杈冨皬鐨刦ib錛岀劧鍚庡熀浜庡叾璁$畻鏇村ぇ鐨刦ib銆傝繖縐嶆柟娉曚篃鍙姳璐圭嚎鎬э紙O(n)錛夋椂闂達紝鍥犱負瀹冨寘鍚竴涓?em>n-1嬈$殑寰幆銆傜劧鑰岋紝榪欎竴鏂規硶鍙渶瑕佸父鏁幫紙O(1)錛夌殑絀洪棿錛岀浉鍙嶏紝鑷《鍚戜笅鐨勬柟娉曞垯闇瑕丱(n)鐨勭┖闂存潵鍌ㄥ瓨鏄犲皠鍏崇郴銆? function fib(n) 鍦ㄨ繖涓や釜渚嬪瓙錛屾垜浠兘鍙綆梖ib(2)涓嬈★紝鐒跺悗鐢ㄥ畠鏉ヨ綆梖ib(3)鍜宖ib(4)錛岃屼笉鏄瘡嬈¢兘閲嶆柊璁$畻銆? 2. 涓縐嶅鉤琛$殑0-1鐭╅樀 鑰冭檻n*n鐭╅樀鐨勮祴鍊奸棶棰橈細鍙兘璧?鍜?錛?em>n涓哄伓鏁幫紝浣挎瘡涓琛屽拰鍒楀潎鍚?em>n/2涓?鍙?em>n/2涓?銆備緥濡傦紝褰?em>n=4鏃訛紝涓ょ鍙兘鐨勬柟妗堟槸錛? + - - - - + + - - - - + 闂細瀵逛簬緇欏畾n錛屽叡鏈夊灝戠涓嶅悓鐨勮祴鍊兼柟妗堛? 鑷沖皯鏈変笁縐嶅彲鑳界殑綆楁硶鏉ヨВ鍐寵繖涓闂錛?a target="_blank">絀蜂婦娉?/a>錛坆rute force錛夈?a target="_blank">鍥炴函娉?/a>錛坆acktracking錛夊強鍔ㄦ佽鍒掞紙dynamic programming錛夈傜┓涓炬硶鍒椾婦鎵鏈夎祴鍊兼柟妗堬紝騫墮愪竴鎵懼嚭婊¤凍騫寵 鏉′歡鐨勬柟妗堛傜敱浜庡叡鏈塁(n, n/2)^n縐嶆柟妗堬紙鍦ㄤ竴琛屼腑錛屽惈n/2涓?鍙妌/2涓?鐨勭粍鍚堟暟涓篊(n,n/2)錛岀浉褰撲簬浠巒涓綅緗腑閫夊彇n/2涓綅緗疆0錛屽墿涓嬬殑鑷劧鏄?錛夛紝褰?em>n=6鏃訛紝絀蜂婦娉曞氨宸茬粡鍑犱箮涓嶅彲琛屼簡銆傚洖婧硶鍏堝皢鐭╅樀涓儴鍒嗗厓绱犵疆涓?鎴?錛岀劧鍚庢鏌ユ瘡涓琛屽拰鍒椾腑鏈璧嬪肩殑鍏冪礌騫惰祴鍊鹼紝浣垮叾婊¤凍姣忎竴琛屽拰鍒椾腑0鍜?鐨勬暟閲忓潎涓?em>n/2銆傚洖婧硶姣旂┓涓炬硶鏇村姞宸у涓浜涳紝浣嗕粛闇閬嶅巻鎵鏈夎В鎵嶈兘紜畾瑙g殑鏁扮洰錛屽彲浠ョ湅鍒幫紝褰?em>n=8鏃訛紝璇ラ瑙g殑鏁扮洰宸茬粡楂樿揪116963796250銆傚姩鎬佽鍒掑垯鏃犻渶閬嶅巻鎵鏈夎В渚垮彲紜畾瑙g殑鏁扮洰錛?strong>鎰忔濇槸鍒掑垎瀛愰棶棰樺悗錛屽彲鏈夋晥閬垮厤鑻ュ共瀛愰棶棰樼殑閲嶅璁$畻錛夈? 閫氳繃鍔ㄦ佽鍒掓眰瑙h闂鍑轟箮鎰忔枡鐨勭畝鍗曘傝冭檻姣忎竴琛屾伆鍚?em>n/2涓?鍜?em>n/2涓?鐨?em>k*n(1<=k<=n)鐨勫瓙鐭╅樀錛屽嚱鏁癴鏍規嵁姣忎竴琛岀殑鍙兘鐨勮祴鍊兼槧灝勪負涓涓悜閲忥紝姣忎釜鍚戦噺鐢?em>n涓暣鏁板鏋勬垚銆傚悜閲忔瘡涓鍒楀搴旂殑涓涓暣鏁板涓殑涓や釜鏁存暟鍒嗗埆琛ㄧず璇ュ垪涓婅琛屼互涓嬪凡緇忔斁緗殑0鍜?鐨勬暟閲忋傝闂鍗寵漿鍖栦負瀵繪壘f((n/2,n/2),(n/2,n/2),...,(n/2,n/2))錛堝叿鏈?em>n涓弬鏁版垨鑰呰鏄竴涓惈n涓厓绱犵殑鍚戦噺錛夌殑鍊箋傚叾瀛愰棶棰樼殑鏋勯犺繃紼嬪涓嬶細 1) 鏈涓婇潰涓琛岋紙絎琸琛?/em>錛夊叿鏈塁(n, n/2)縐嶈祴鍊鹼紱 2) 鏍規嵁鏈涓婇潰涓琛屼腑姣忎竴鍒楃殑璧嬪兼儏鍐碉紙涓?鎴?錛夛紝灝嗗叾瀵瑰簲鏁存暟瀵逛腑鐩稿簲鐨勫厓绱犲煎噺1錛? 3) 濡傛灉浠諱竴鏁存暟瀵逛腑鐨勪換涓鍏冪礌涓鴻礋錛屽垯璇ヨ祴鍊奸潪娉曪紝涓嶈兘鎴愪負姝g‘瑙o紱 4) 鍚﹀垯錛屽畬鎴愬k*n鐨勫瓙鐭╅樀涓渶涓婇潰涓琛岀殑璧嬪鹼紝鍙?em>k=k-1錛岃綆楀墿浣欑殑(k-1)*n鐨勫瓙鐭╅樀鐨勮祴鍊鹼紱 5) 鍩烘湰鎯呭喌鏄竴涓?*n鐨勭粏灝忕殑瀛愰棶棰橈紝姝ゆ椂錛岃瀛愰棶棰樼殑瑙g殑鏁伴噺涓?鎴?錛屽彇鍐充簬鍏跺悜閲忔槸鍚︽槸n/2涓?0, 1)鍜?em>n/2涓?1, 0)鐨勬帓鍒椼? 渚嬪錛屽湪涓婇潰緇欏嚭鐨勪袱縐嶆柟妗堜腑錛屽悜閲忓簭鍒椾負錛? ((2, 2) (2, 2) (2, 2) (2, 2)) ((2, 2) (2, 2) (2, 2) (2, 2)) k = 4 ((1, 2) (2, 1) (1, 2) (2, 1)) ((1, 2) (1, 2) (2, 1) (2, 1)) k = 3 ((1, 1) (1, 1) (1, 1) (1, 1)) ((0, 2) (0, 2) (2, 0) (2, 0)) k = 2 ((0, 1) (1, 0) (0, 1) (1, 0)) ((0, 1) (0, 1) (1, 0) (1, 0)) k = 1 ((0, 0) (0, 0) (0, 0) (0, 0)) ((0, 0) (0, 0), (0, 0) (0, 0)) 鍔ㄦ佽鍒掑湪姝ょ殑鎰忎箟鍦ㄤ簬閬垮厤浜嗙浉鍚宖鐨勯噸澶嶈綆楋紝鏇磋繘涓姝ョ殑錛屼笂闈㈢潃鑹茬殑涓や釜f錛岃櫧鐒跺搴斿悜閲忎笉鍚岋紝浣唂鐨勫兼槸鐩稿悓鐨勶紝鎯蟲兂涓轟粈涔堝惂:D銆?/em> 璇ラ棶棰樿В鐨勬暟閲忥紙搴忓垪a058527鍦∣EIS錛夋槸1, 2, 90, 297200, 116963796250, 6736218287430460752, ... 涓嬮潰鐨勫閮ㄩ摼鎺ヤ腑鍖呭惈鍥炴函娉曠殑Perl婧愪唬鐮佸疄鐜幫紝浠ュ強鍔ㄦ佽鍒掓硶鐨凪APLE鍜孋璇█鐨勫疄鐜般? 3. 媯嬬洏 鑰冭檻n*n鐨勬鐩樺強鎴愭湰鍑芥暟C(i,j)錛岃鍑芥暟榪斿洖鏂規牸(i,j)鐩稿叧鐨勬垚鏈備互5*5鐨勬鐩樹負渚嬶細 5 | 6 7 4 7 8 鍙互鐪嬪埌錛欳(1,3)=5 浠庢鐩樼殑浠諱竴鏂規牸鐨勭涓闃訛紙鍗寵錛夊紑濮嬶紝瀵繪壘鍒拌揪鏈鍚庝竴闃剁殑鏈鐭礬寰勶紙浣挎墍鏈夌粡榪囩殑鏂規牸鐨勬垚鏈箣鍜屾渶灝忥級錛屽亣瀹氬彧鍏佽鍚戝乏瀵硅銆佸彸瀵硅鎴栧瀭鐩寸Щ鍔ㄤ竴鏍箋? 5 | 璇ラ棶棰樺睍紺轟簡鏈浼樺瓙緇撴瀯銆傚嵆鏁翠釜闂鐨勫叏灞瑙d緷璧栦簬瀛愰棶棰樼殑瑙c傚畾涔夊嚱鏁皅(i,j)錛屼護錛歲(i,j)琛ㄧず鍒拌揪鏂規牸(i,j)鐨勬渶浣庢垚鏈? 濡傛灉鎴戜滑鍙互姹傚嚭絎?em>n闃舵墍鏈夋柟鏍肩殑q(i,j)鍊鹼紝鍙栧叾鏈灝忓煎茍閫嗗悜璇ヨ礬寰勫嵆鍙緱鍒版渶鐭礬寰勩? 璁皅(i,j)涓烘柟鏍?i,j)鑷沖叾涓嬩笁涓柟鏍鹼紙(i-1,j-1)銆?i-1,j)銆?i-1,j+1)錛夋渶浣庢垚鏈笌c(i,j)涔嬪拰錛屼緥濡傦細 5 | q(A) = min(q(B),q(C),q(D)) + c(A) 瀹氫箟q(i,j)鐨勪竴鑸艦寮忥細 |- inf. j<1 or j>n 鏂圭▼鐨勭涓琛屾槸涓轟簡淇濊瘉閫掑綊鍙互閫鍑猴紙澶勭悊杈圭晫鏃跺彧闇璋冪敤涓嬈¢掑綊鍑芥暟錛夈傜浜岃鏄涓闃剁殑鍙栧鹼紝浣滀負璁$畻鐨勮搗鐐廣傜涓夎鐨勯掑綊鏄畻娉曠殑閲嶈緇勬垚閮ㄥ垎錛屼笌渚嬪瓙A銆?em>B銆?em>C銆?em>D綾諱技銆備粠璇ュ畾涔夋垜浠彲浠ョ洿鎺ョ粰鍑鴻綆梣(i,j)鐨勭畝鍗曠殑閫掑綊浠g爜銆傚湪涓嬮潰鐨勪吉浠g爜涓紝n琛ㄧず媯嬬洏鐨勭淮鏁幫紝C(i,j)鏄垚鏈嚱鏁幫紝min()榪斿洖涓緇勬暟鐨勬渶灝忓鹼細 function minCost(i, j) 闇瑕佹寚鍑虹殑鏄紝minCost鍙綆楄礬寰勬垚鏈紝騫朵笉鏄渶緇堢殑瀹為檯璺緞錛屼簩鑰呯浉鍘諱笉榪溿備笌Fibonacci鏁扮浉浼鹼紝鐢變簬鑺辮垂澶ч噺鏃墮棿閲嶅璁$畻鐩稿悓鐨勬渶鐭礬寰勶紝榪欎竴鏂瑰紡鎱㈢殑鎭愭栥備笉榪囷紝濡傛灉閲囩敤鑷笅鑰屼笂娉曪紝浣跨敤浜岀淮鏁扮粍q[i,j]浠f浛鍑芥暟minCost錛屽皢浣胯綆楄繃紼嬪揩寰楀銆傛垜浠負浠涔堣榪欐牱鍋氬憿錛熼夋嫨淇濆瓨鍊兼樉鐒舵瘮浣跨敤鍑芥暟閲嶅璁$畻鐩稿悓璺緞瑕佺畝鍗曠殑澶氥? 鎴戜滑榪橀渶瑕佺煡閬撳疄闄呰礬寰勩傝礬寰勯棶棰橈紝鎴戜滑鍙互閫氳繃鍙︿竴涓墠浠繪暟緇刾[i,j]瑙e喅銆傝繖涓暟緇勭敤浜庢弿榪拌礬寰勶紝浠g爜濡備笅錛? function computeShortestPathArrays() 鍓╀笅鐨勬眰鏈灝忓煎拰杈撳嚭灝辨瘮杈冪畝鍗曚簡錛? function computeShortestPath() function printPath(y, x) 4. 搴忓垪姣斿 搴忓垪姣斿鏄姩鎬佽鍒掔殑涓涓噸瑕佸簲鐢ㄣ傚簭鍒楁瘮瀵歸棶棰橀氬父鏄嬌鐢ㄧ紪杈戞搷浣滐紙鏇挎崲銆佹彃鍏ャ佸垹闄や竴涓绱犵瓑錛夎繘琛屽簭鍒楄漿鎹€傛瘡嬈℃搷浣滃搴斾笉鍚屾垚鏈紝鐩爣鏄壘鍒扮紪杈戝簭鍒楃殑鏈浣庢垚鏈? 鍙互寰堣嚜鐒跺湴鎯沖埌浣跨敤閫掑綊瑙e喅榪欎釜闂錛屽簭鍒?em>A鍒?em>B鐨勬渶浼樼紪杈戦氳繃浠ヤ笅鎺柦涔嬩竴瀹炵幇錛? 鎻掑叆B鐨勭涓涓瓧絎︼紝瀵?em>A鍜?em>B鐨勫墿浣欏簭鍒楄繘琛屾渶浼樻瘮瀵癸紱 鍒犲幓A鐨勭涓涓瓧絎︼紝瀵?em>A鍜?em>B榪涜鏈浼樻瘮瀵癸紱 鐢?em>B鐨勭涓涓瓧絎︽浛鎹?em>A鐨勭涓涓瓧絎︼紝瀵?em>A鐨勫墿浣欏簭鍒楀拰B榪涜鏈浼樻瘮瀵廣? 灞閮ㄦ瘮瀵瑰彲鍦ㄧ煩闃典腑鍒楄〃琛ㄧず錛屽崟鍏?i,j)琛ㄧずA[1..i]鍒癰[1..j]鏈浼樻瘮瀵圭殑鎴愭湰銆傚崟鍏?i,j)鐨勬垚鏈綆楀彲閫氳繃绱姞鐩擱偦鍗曞厓鐨勬搷浣滄垚鏈茍閫夋嫨鏈浼樿В瀹炵幇銆傝嚦浜庡簭鍒楁瘮瀵圭殑涓嶅悓瀹炵幇綆楁硶錛屽弬瑙?a target="_blank">Smith-Waterman鍜?a target="_blank">Needleman-Wunsch銆? 瀵瑰簭鍒楁瘮瀵圭殑璇濋騫朵笉鐔熸倝錛屾洿澶氱殑璇濅篃鏃犱粠璋堣搗錛屾湁鐔熸倝鐨勬湅鍙嬪掓槸鍙互浠嬬粛涓涓嬨?/em> 1) 璁稿瀛楃涓?/a>鎿嶄綔綆楁硶濡?a target="_blank">鏈闀垮叕鍏卞瓙鍒?/a>銆?a target="_blank">鏈闀塊掑瀛愬垪銆?a target="_blank">鏈闀垮叕鍏卞瓧涓?/a>錛? 2) 灝嗗姩鎬佽鍒掔敤浜?a target="_blank">鍥?/a>鐨勬爲鍒嗚В錛屽彲浠ユ湁鏁堣В鍐蟲湁鐣?a target="_blank">鏍戝鍥?/a>鐨?a target="_blank">鐢熸垚鏍?/a>絳夎澶氫笌鍥劇浉鍏崇殑綆楁硶闂錛? 3) 鍐沖畾鏄惁鍙婂浣曞彲浠ラ氳繃鏌愪竴鐗瑰畾涓婁笅鏂囨棤鍏蟲枃娉?/a>浜х敓緇欏畾瀛楃涓茬殑Cocke-Younger-Kasami (CYK)綆楁硶錛? 4) 璁$畻鏈哄浗闄呰薄媯?/a>涓?a target="_blank">杞崲琛?/a>鍜?a target="_blank">椹蟲枼琛?/a>鐨勪嬌鐢紱 5) Viterbi綆楁硶錛堢敤浜?a target="_blank">闅愬紡椹皵鍙か妯″瀷 6) Earley綆楁硶錛堜竴綾?a target="_blank">鍥捐〃鍒嗘瀽鍣?/a>錛夛紱 7) Needleman-Wunsch鍙婂叾浠?a target="_blank">鐢熺墿淇℃伅瀛?/a>涓嬌鐢ㄧ殑綆楁硶錛屽寘鎷?a target="_blank">搴忓垪姣斿銆?a target="_blank">緇撴瀯姣斿銆?a target="_blank">RNA緇撴瀯棰勬祴錛? 8) Levenshtein璺濈錛堢紪杈戣窛紱伙級錛? 9) 寮楁礇浼婂痙鏈鐭礬寰?/a>綆楁硶錛? 10) 榪為攣鐭╅樀涔樻硶嬈″簭浼樺寲錛? 11) 瀛愰泦姹傚拰銆?a target="_blank">鑳屽寘闂 12) 璁$畻涓や釜鏃墮棿搴忓垪鍏ㄥ眬璺濈鐨?a target="_blank">鍔ㄦ佹椂闂磋鏁?/a>綆楁硶錛? 13) 鍏崇郴鍨嬫暟鎹簱鐨勬煡璇紭鍖栫殑Selinger錛堝張鍚?a target="_blank">System R錛夌畻娉曪紱 14) 璇勪環B鏍鋒潯鏇茬嚎鐨?a target="_blank">De Boor綆楁硶錛? 15) 鐢ㄤ簬瑙e喅鏉跨悆榪愬姩涓柇闂鐨?a target="_blank">Duckworth-Lewis鏂規硶錛? 16) 浠峰艱凱浠f硶姹傝В椹皵鍙か鍐崇瓥榪囩▼錛? 17) 涓浜涘浘褰㈠浘鍍忚竟緙樹互涓嬬殑閫夋嫨鏂規硶錛屽鈥滅閾佲濋夋嫨宸ュ叿鍦?a target="_blank">Photoshop錛? 18) 闂撮殧璋冨害錛? 19) 鑷姩鎹㈣錛? 20) 宸″洖鏃呰鍟嗛棶棰?/a>錛?strong>鍙堢О閭樊闂鎴栬揣鎷呴儙闂錛夛紱 21) 鍒嗘鏈灝忎簩涔樻硶錛? 22) 闊充箰淇℃伅媯绱?/a>璺熻釜銆? 瀵逛簬榪欎簺綆楁硶搴旂敤錛屽ぇ澶氭湭鏇炬帴瑙︼紝鐢氳嚦鏈緲昏瘧鐨勯兘鏈夐棶棰橈紝閴翠簬鏈枃涓昏鍦ㄤ簬浠嬬粛鍔ㄦ佽鍒掞紝鎵浠ヤ粨淇冧箣涓紝鏈強鏌ヨ瘉銆?/em> 1) 璐濆皵鏇兼柟紼?/a> 2) 椹皵鍙か鍐崇瓥榪囩▼ 3) 璐績綆楁硶 _____________________________________________________________ 鍏充簬鍔ㄦ佽鍒掞紝榪欏彧鏄竴綃囪瘧鏂囷紝鍚庨潰灝嗘牴鎹疄闄呴棶棰樺叿浣撳啓鐐瑰姩鎬佽鍒掔殑搴旂敤銆?/p>
76543210765432107654321076543210
+ – - – = – - – = – - – = – - – +
15 | TimeLow | 12
11 | TimeMid | Version.. | 8
7 |Vari.. |Clock..| Node | 4
3 | Node | 0
+ – - – = – - – = – - – = – - – +
15 – 12: TimeLow 鏃墮棿鍊肩殑浣庝綅
11 – 10: TimeMid 鏃墮棿鍊肩殑涓綅
09 – 08: VersionAndTimeHigh 4浣嶇増鏈彿鍜屾椂闂村肩殑楂樹綅
07: VariantAndClockSeqHigh 2浣嶅彉浣擄紙ITU-T錛夊拰鏃墮挓搴忓垪楂樹綅
06: ClockSeqLow 鏃墮挓搴忓垪浣庝綅
05 – 00: Node 緇撶偣
hexOctet = hexDigit hexDigit
hexDigit =
“0″ / “1″ / “2″ / “3″ / “4″ / “5″ / “6″ / “7″ / “8″ / “9″ /
“a” / “b” / “c” / “d” / “e” / “f” /
“A” / “B” / “C” / “D” / “E” / “F”
UUID =
TimeLow
“-” TimeMid
“-” VersionAndTimeHigh
“-” VariantAndClockSeqHigh ClockSeqLow
“-” Node
0 – – NCS鍚戝悗鍏煎
1 0 – 鏈爣鍑?br>
1 1 0 Microsoft鍚戝悗鍏煎
1 1 1 ITU-T Rec. X.667淇濈暀
0 0 0 1 1 鍩轟簬鏃墮棿鐨勭増鏈紙鏈爣鍑嗭級
0 0 0 0 2 浣跨敤宓屽叆寮廝OSIX錛圖CE瀹夊叏鐗堟湰錛?br>
0 0 1 1 3 浣跨敤MD5鍝堝笇鐨勫熀浜庡悕縐扮殑鐗堟湰錛堟湰鏍囧噯錛?br>
0 1 0 0 4 鍩轟簬闅忔満鏁扮殑鐗堟湰錛堟湰鏍囧噯錛?br>
0 1 0 1 5 浣跨敤SHA-1鐨勫熀浜庡悕縐扮殑鐗堟湰錛堟湰鏍囧噯錛?/p>
o 鍩轟簬鏃墮棿鐨刄UID鐢熸垚綆楁硶
鍏蜂綋綆楁硶瀹炵幇鍙互鍙傝冩枃妗e拰寮婧愪唬鐮併?
]]>
]]>
if n = 0
return 0
else if n = 1
return 1
return fib(n-1) + fib(n-2)
function fib(n)
if map m does not contain key n
m[n] := fib(n-1) + fib(n-2)
return m[n]
var previousFib := 0, currentFib := 1
if n = 0
return 0
else if n = 1
return 1
repeat n-1 times
var newFib := previousFib + currentFib
previousFib := currentFib
currentFib := newFib
return currentFib
| 0 1 0 1 | | 0 0 1 1 |
| 1 0 1 0 | | 0 0 1 1 |
| 0 1 0 1 | | 1 1 0 0 |
| 1 0 1 0 | | 1 1 0 0 |
+ - - - - + + - - - - +
0 1 0 1 0 0 1 1
1 0 1 0 0 0 1 1
0 1 0 1 1 1 0 0
1 0 1 0 1 1 0 0
4 | 7 6 1 1 4
3 | 3 5 7 8 2
2 | 2 6 7 0 2
1 | 7 3 5 6 1
- + - - - - -
| 1 2 3 4 5
4 |
3 |
2 | x x x
1 | o
- + - - - - -
| 1 2 3 4 5
4 | A
3 | B C D
2 |
1 |
- + - - - - -
| 1 2 3 4 5
q(i,j) = -+- c(i,j) i=1
|- min(q(i-1,j-1),q(i-1,j),q(i-1,j+1))+c(i,j) otherwise.
if j < 1 or j > n
return infinity
else if i = 1
return c(i,j)
else
return min(minCost(i-1,j-1),minCost(i-1,j),minCost(i-1,j+1))+c(i,j)
for x from 1 to n
q[1, x] := c(1, x)
for y from 1 to n
q[y, 0] := infinity
q[y, n + 1] := infinity
for y from 2 to n
for x from 1 to n
m := min(q[y-1, x-1], q[y-1, x], q[y-1, x+1])
q[y, x] := m + c(y, x)
if m = q[y-1, x-1]
p[y, x] := -1
else if m = q[y-1, x]
p[y, x] := 0
else
p[y, x] := 1
computeShortestPathArrays()
minIndex := 1
min := q[n, 1]
for i from 2 to n
if q[n, i] < min
minIndex := i
min := q[n, i]
printPath(n, minIndex)
print(x)
print("<-")
if y = 2
print(x + p[y, x])
else
printPath(y-1, x + p[y, x])
]]>